%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : ALG143+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 30 16:37:14 EDT 2023

% Result   : Unsatisfiable 17.61s 3.10s
% Output   : Proof 174.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG143+1 : TPTP v8.1.2. Released v2.7.0.
% 0.12/0.12  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.33  % Computer : n011.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Mon Aug 28 02:40:40 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.59  ________       _____
% 0.19/0.59  ___  __ \_________(_)________________________________
% 0.19/0.59  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.19/0.59  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.19/0.59  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.19/0.59  
% 0.19/0.59  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.59  (2023-06-19)
% 0.19/0.59  
% 0.19/0.59  (c) Philipp Rümmer, 2009-2023
% 0.19/0.59  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.59                Amanda Stjerna.
% 0.19/0.59  Free software under BSD-3-Clause.
% 0.19/0.59  
% 0.19/0.59  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.59  
% 0.19/0.59  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.61  Running up to 7 provers in parallel.
% 0.19/0.62  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.62  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.62  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.62  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.62  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.62  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.62  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 5.42/1.46  Prover 1: Preprocessing ...
% 5.42/1.46  Prover 4: Preprocessing ...
% 5.59/1.49  Prover 3: Preprocessing ...
% 5.59/1.49  Prover 5: Preprocessing ...
% 5.59/1.49  Prover 2: Preprocessing ...
% 5.59/1.49  Prover 6: Preprocessing ...
% 5.59/1.50  Prover 0: Preprocessing ...
% 8.51/1.91  Prover 2: Constructing countermodel ...
% 8.51/1.92  Prover 3: Constructing countermodel ...
% 8.51/1.99  Prover 1: Constructing countermodel ...
% 8.51/2.00  Prover 4: Constructing countermodel ...
% 8.51/2.00  Prover 0: Constructing countermodel ...
% 8.51/2.02  Prover 6: Constructing countermodel ...
% 10.62/2.22  Prover 5: Constructing countermodel ...
% 17.61/3.09  Prover 6: proved (2473ms)
% 17.61/3.09  
% 17.61/3.10  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.61/3.10  
% 17.61/3.10  Prover 2: stopped
% 17.61/3.10  Prover 5: stopped
% 17.61/3.10  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 17.61/3.10  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 17.61/3.10  Prover 3: stopped
% 17.61/3.11  Prover 0: stopped
% 17.61/3.11  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 17.61/3.11  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 17.61/3.11  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 18.21/3.32  Prover 11: Preprocessing ...
% 19.01/3.36  Prover 7: Preprocessing ...
% 19.82/3.38  Prover 8: Preprocessing ...
% 19.82/3.40  Prover 13: Preprocessing ...
% 19.82/3.45  Prover 11: Constructing countermodel ...
% 20.47/3.46  Prover 10: Preprocessing ...
% 20.63/3.48  Prover 8: Constructing countermodel ...
% 20.63/3.49  Prover 7: Constructing countermodel ...
% 21.03/3.60  Prover 13: Constructing countermodel ...
% 21.03/3.61  Prover 10: Constructing countermodel ...
% 62.88/9.03  Prover 13: stopped
% 62.88/9.04  Prover 16: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 63.91/9.15  Prover 16: Preprocessing ...
% 65.18/9.37  Prover 16: Constructing countermodel ...
% 109.27/15.03  Prover 16: stopped
% 109.27/15.03  Prover 19: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 110.30/15.16  Prover 19: Preprocessing ...
% 111.00/15.27  Prover 19: Constructing countermodel ...
% 116.23/15.96  Prover 1: stopped
% 136.16/18.84  Prover 19: stopped
% 160.62/22.96  Prover 8: Found proof (size 597202)
% 160.62/22.96  Prover 8: proved (19715ms)
% 160.62/22.96  Prover 7: stopped
% 160.62/22.96  Prover 11: stopped
% 160.62/22.96  Prover 10: stopped
% 160.62/22.96  Prover 4: stopped
% 160.62/22.96  
% 160.62/22.96  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 160.62/22.96  
% 163.52/24.11  % SZS output start Proof for theBenchmark
% 163.83/24.23  Assumptions after simplification:
% 163.83/24.23  ---------------------------------
% 163.83/24.23  
% 163.83/24.23    (ax1)
% 164.03/24.28    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : 
% 164.03/24.28    ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8:
% 164.03/24.28      $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13:
% 164.03/24.28      $i] :  ? [v14: $i] :  ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 &
% 164.03/24.28      op(e3, e1) = v13 & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 &
% 164.03/24.28      op(e2, e1) = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 &
% 164.03/24.28      op(e1, e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 164.03/24.28      op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 164.03/24.28      $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 164.03/24.28      $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15 = e2 | v15 = e1 | v15 =
% 164.03/24.28        e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e3 | v13 = e2 |
% 164.03/24.28        v13 = e1 | v13 = e0) & (v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11
% 164.03/24.28        = e3 | v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 |
% 164.03/24.28        v10 = e0) & (v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 |
% 164.03/24.28        v8 = e1 | v8 = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 |
% 164.03/24.28        v6 = e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 164.03/24.28      (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 = e1 | v3
% 164.03/24.28        = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3 | v1 = e2 | v1
% 164.03/24.28        = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0))
% 164.03/24.28  
% 164.03/24.28    (ax10)
% 164.03/24.28    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 164.03/24.28    (op(v1, v0) = v2 & op(v0, e3) = v1 & op(e3, e3) = v0 & $i(v2) & $i(v1) &
% 164.03/24.28      $i(v0) & ( ~ (v2 = e1) |  ~ (v1 = e2) |  ~ (v0 = e0)))
% 164.03/24.28  
% 164.03/24.28    (ax11)
% 164.03/24.29    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 164.03/24.29    (op(v1, v0) = v2 & op(v0, e3) = v1 & op(e3, e3) = v0 & $i(v2) & $i(v1) &
% 164.03/24.29      $i(v0) & ( ~ (v2 = e2) |  ~ (v1 = e1) |  ~ (v0 = e0)))
% 164.03/24.29  
% 164.03/24.29    (ax12)
% 164.03/24.29    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 164.03/24.29    (op(v1, v0) = v2 & op(v0, e0) = v1 & op(e0, e0) = v0 & $i(v2) & $i(v1) &
% 164.03/24.29      $i(v0) & ( ~ (v2 = e2) |  ~ (v1 = e3) |  ~ (v0 = e1)))
% 164.03/24.29  
% 164.03/24.29    (ax13)
% 164.03/24.29    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 164.03/24.29    (op(v1, v0) = v2 & op(v0, e0) = v1 & op(e0, e0) = v0 & $i(v2) & $i(v1) &
% 164.03/24.29      $i(v0) & ( ~ (v2 = e3) |  ~ (v1 = e2) |  ~ (v0 = e1)))
% 164.03/24.29  
% 164.03/24.29    (ax14)
% 164.03/24.29    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 164.03/24.29    (op(v1, v0) = v2 & op(v0, e2) = v1 & op(e2, e2) = v0 & $i(v2) & $i(v1) &
% 164.03/24.29      $i(v0) & ( ~ (v2 = e0) |  ~ (v1 = e3) |  ~ (v0 = e1)))
% 164.03/24.29  
% 164.03/24.29    (ax15)
% 164.03/24.29    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 164.03/24.29    (op(v1, v0) = v2 & op(v0, e2) = v1 & op(e2, e2) = v0 & $i(v2) & $i(v1) &
% 164.03/24.29      $i(v0) & ( ~ (v2 = e3) |  ~ (v1 = e0) |  ~ (v0 = e1)))
% 164.03/24.29  
% 164.03/24.29    (ax16)
% 164.03/24.30    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 164.03/24.30    (op(v1, v0) = v2 & op(v0, e3) = v1 & op(e3, e3) = v0 & $i(v2) & $i(v1) &
% 164.03/24.30      $i(v0) & ( ~ (v2 = e0) |  ~ (v1 = e2) |  ~ (v0 = e1)))
% 164.03/24.30  
% 164.03/24.30    (ax17)
% 164.03/24.30    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 164.03/24.30    (op(v1, v0) = v2 & op(v0, e3) = v1 & op(e3, e3) = v0 & $i(v2) & $i(v1) &
% 164.03/24.30      $i(v0) & ( ~ (v2 = e2) |  ~ (v1 = e0) |  ~ (v0 = e1)))
% 164.03/24.30  
% 164.03/24.30    (ax18)
% 164.03/24.30    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 164.03/24.30    (op(v1, v0) = v2 & op(v0, e0) = v1 & op(e0, e0) = v0 & $i(v2) & $i(v1) &
% 164.03/24.30      $i(v0) & ( ~ (v2 = e1) |  ~ (v1 = e3) |  ~ (v0 = e2)))
% 164.03/24.30  
% 164.03/24.30    (ax19)
% 164.03/24.30    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 164.03/24.30    (op(v1, v0) = v2 & op(v0, e0) = v1 & op(e0, e0) = v0 & $i(v2) & $i(v1) &
% 164.03/24.30      $i(v0) & ( ~ (v2 = e3) |  ~ (v1 = e1) |  ~ (v0 = e2)))
% 164.03/24.30  
% 164.03/24.30    (ax2)
% 164.03/24.31    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : 
% 164.03/24.31    ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8:
% 164.03/24.31      $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13:
% 164.03/24.31      $i] :  ? [v14: $i] :  ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 &
% 164.03/24.31      op(e3, e1) = v11 & op(e3, e0) = v6 & op(e2, e3) = v13 & op(e2, e2) = v12 &
% 164.03/24.31      op(e2, e1) = v10 & op(e2, e0) = v5 & op(e1, e3) = v9 & op(e1, e2) = v8 &
% 164.03/24.31      op(e1, e1) = v7 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 164.03/24.31      op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 164.03/24.31      $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 164.03/24.31      $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v14 = e3 | v11 = e3 | v6 =
% 164.03/24.31        e3) & (v15 = e3 | v13 = e3 | v9 = e3 | v3 = e3) & (v15 = e2 | v14 = e2 |
% 164.03/24.31        v11 = e2 | v6 = e2) & (v15 = e2 | v13 = e2 | v9 = e2 | v3 = e2) & (v15 =
% 164.03/24.31        e1 | v14 = e1 | v11 = e1 | v6 = e1) & (v15 = e1 | v13 = e1 | v9 = e1 | v3
% 164.03/24.31        = e1) & (v15 = e0 | v14 = e0 | v11 = e0 | v6 = e0) & (v15 = e0 | v13 = e0
% 164.03/24.31        | v9 = e0 | v3 = e0) & (v14 = e3 | v12 = e3 | v8 = e3 | v2 = e3) & (v14 =
% 164.03/24.31        e2 | v12 = e2 | v8 = e2 | v2 = e2) & (v14 = e1 | v12 = e1 | v8 = e1 | v2 =
% 164.03/24.31        e1) & (v14 = e0 | v12 = e0 | v8 = e0 | v2 = e0) & (v13 = e3 | v12 = e3 |
% 164.03/24.31        v10 = e3 | v5 = e3) & (v13 = e2 | v12 = e2 | v10 = e2 | v5 = e2) & (v13 =
% 164.03/24.31        e1 | v12 = e1 | v10 = e1 | v5 = e1) & (v13 = e0 | v12 = e0 | v10 = e0 | v5
% 164.03/24.31        = e0) & (v11 = e3 | v10 = e3 | v7 = e3 | v1 = e3) & (v11 = e2 | v10 = e2 |
% 164.03/24.31        v7 = e2 | v1 = e2) & (v11 = e1 | v10 = e1 | v7 = e1 | v1 = e1) & (v11 = e0
% 164.03/24.31        | v10 = e0 | v7 = e0 | v1 = e0) & (v9 = e3 | v8 = e3 | v7 = e3 | v4 = e3)
% 164.03/24.31      & (v9 = e2 | v8 = e2 | v7 = e2 | v4 = e2) & (v9 = e1 | v8 = e1 | v7 = e1 |
% 164.03/24.31        v4 = e1) & (v9 = e0 | v8 = e0 | v7 = e0 | v4 = e0) & (v6 = e3 | v5 = e3 |
% 164.03/24.31        v4 = e3 | v0 = e3) & (v6 = e2 | v5 = e2 | v4 = e2 | v0 = e2) & (v6 = e1 |
% 164.03/24.31        v5 = e1 | v4 = e1 | v0 = e1) & (v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) &
% 164.03/24.31      (v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v3 = e1 | v2 = e1 | v1 = e1 | v0
% 164.03/24.31        = e1) & (v0 = e0 | ((v6 = e0 | v5 = e0 | v4 = e0) & (v3 = e0 | v2 = e0 |
% 164.03/24.31            v1 = e0))))
% 164.03/24.31  
% 164.03/24.32    (ax20)
% 164.03/24.32    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 164.03/24.32    (op(v1, v0) = v2 & op(v0, e1) = v1 & op(e1, e1) = v0 & $i(v2) & $i(v1) &
% 164.03/24.32      $i(v0) & ( ~ (v2 = e0) |  ~ (v1 = e3) |  ~ (v0 = e2)))
% 164.03/24.32  
% 164.03/24.32    (ax21)
% 164.03/24.32    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 164.03/24.32    (op(v1, v0) = v2 & op(v0, e1) = v1 & op(e1, e1) = v0 & $i(v2) & $i(v1) &
% 164.03/24.32      $i(v0) & ( ~ (v2 = e3) |  ~ (v1 = e0) |  ~ (v0 = e2)))
% 164.03/24.32  
% 164.03/24.32    (ax22)
% 164.03/24.32    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 164.03/24.32    (op(v1, v0) = v2 & op(v0, e3) = v1 & op(e3, e3) = v0 & $i(v2) & $i(v1) &
% 164.03/24.32      $i(v0) & ( ~ (v2 = e0) |  ~ (v1 = e1) |  ~ (v0 = e2)))
% 164.03/24.32  
% 164.03/24.32    (ax23)
% 164.03/24.32    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 164.03/24.32    (op(v1, v0) = v2 & op(v0, e3) = v1 & op(e3, e3) = v0 & $i(v2) & $i(v1) &
% 164.03/24.32      $i(v0) & ( ~ (v2 = e1) |  ~ (v1 = e0) |  ~ (v0 = e2)))
% 164.03/24.32  
% 164.03/24.32    (ax24)
% 164.03/24.32    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 164.03/24.32    (op(v1, v0) = v2 & op(v0, e0) = v1 & op(e0, e0) = v0 & $i(v2) & $i(v1) &
% 164.03/24.32      $i(v0) & ( ~ (v2 = e1) |  ~ (v1 = e2) |  ~ (v0 = e3)))
% 164.03/24.32  
% 164.03/24.32    (ax25)
% 164.03/24.32    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 164.03/24.32    (op(v1, v0) = v2 & op(v0, e0) = v1 & op(e0, e0) = v0 & $i(v2) & $i(v1) &
% 164.03/24.32      $i(v0) & ( ~ (v2 = e2) |  ~ (v1 = e1) |  ~ (v0 = e3)))
% 164.03/24.32  
% 164.03/24.32    (ax26)
% 164.03/24.33    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 164.03/24.33    (op(v1, v0) = v2 & op(v0, e1) = v1 & op(e1, e1) = v0 & $i(v2) & $i(v1) &
% 164.03/24.33      $i(v0) & ( ~ (v2 = e0) |  ~ (v1 = e2) |  ~ (v0 = e3)))
% 164.03/24.33  
% 164.03/24.33    (ax27)
% 164.03/24.33    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 164.03/24.33    (op(v1, v0) = v2 & op(v0, e1) = v1 & op(e1, e1) = v0 & $i(v2) & $i(v1) &
% 164.03/24.33      $i(v0) & ( ~ (v2 = e2) |  ~ (v1 = e0) |  ~ (v0 = e3)))
% 164.03/24.33  
% 164.03/24.33    (ax28)
% 164.03/24.33    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 164.03/24.33    (op(v1, v0) = v2 & op(v0, e2) = v1 & op(e2, e2) = v0 & $i(v2) & $i(v1) &
% 164.03/24.33      $i(v0) & ( ~ (v2 = e0) |  ~ (v1 = e1) |  ~ (v0 = e3)))
% 164.03/24.33  
% 164.03/24.33    (ax29)
% 164.03/24.33    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 164.03/24.33    (op(v1, v0) = v2 & op(v0, e2) = v1 & op(e2, e2) = v0 & $i(v2) & $i(v1) &
% 164.03/24.33      $i(v0) & ( ~ (v2 = e1) |  ~ (v1 = e0) |  ~ (v0 = e3)))
% 164.03/24.33  
% 164.03/24.33    (ax3)
% 164.03/24.34    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : 
% 164.03/24.34    ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8:
% 164.03/24.34      $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13:
% 164.03/24.34      $i] :  ? [v14: $i] :  ? [v15: $i] : ( ~ (v15 = v14) &  ~ (v15 = v13) &  ~
% 164.03/24.34      (v15 = v12) &  ~ (v15 = v11) &  ~ (v15 = v7) &  ~ (v15 = v3) &  ~ (v14 =
% 164.03/24.34        v13) &  ~ (v14 = v12) &  ~ (v14 = v10) &  ~ (v14 = v6) &  ~ (v14 = v2) & 
% 164.03/24.34      ~ (v13 = v12) &  ~ (v13 = v9) &  ~ (v13 = v5) &  ~ (v13 = v1) &  ~ (v12 =
% 164.03/24.34        v8) &  ~ (v12 = v4) &  ~ (v12 = v0) &  ~ (v11 = v10) &  ~ (v11 = v9) &  ~
% 164.03/24.34      (v11 = v8) &  ~ (v11 = v7) &  ~ (v11 = v3) &  ~ (v10 = v9) &  ~ (v10 = v8) &
% 164.03/24.34       ~ (v10 = v6) &  ~ (v10 = v2) &  ~ (v9 = v8) &  ~ (v9 = v5) &  ~ (v9 = v1) &
% 164.03/24.34       ~ (v8 = v4) &  ~ (v8 = v0) &  ~ (v7 = v6) &  ~ (v7 = v5) &  ~ (v7 = v4) & 
% 164.03/24.34      ~ (v7 = v3) &  ~ (v6 = v5) &  ~ (v6 = v4) &  ~ (v6 = v2) &  ~ (v5 = v4) &  ~
% 164.03/24.34      (v5 = v1) &  ~ (v4 = v0) &  ~ (v3 = v2) &  ~ (v3 = v1) &  ~ (v3 = v0) &  ~
% 164.03/24.34      (v2 = v1) &  ~ (v2 = v0) &  ~ (v1 = v0) & op(e3, e3) = v15 & op(e3, e2) =
% 164.03/24.34      v11 & op(e3, e1) = v7 & op(e3, e0) = v3 & op(e2, e3) = v14 & op(e2, e2) =
% 164.03/24.34      v10 & op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, e3) = v13 & op(e1, e2) = v9
% 164.03/24.34      & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, e3) = v12 & op(e0, e2) = v8 &
% 164.03/24.34      op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 164.03/24.34      $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 164.03/24.34      $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 164.03/24.34  
% 164.03/24.34    (ax4)
% 164.03/24.34     ~ (e3 = e2) &  ~ (e3 = e1) &  ~ (e3 = e0) &  ~ (e2 = e1) &  ~ (e2 = e0) &  ~
% 164.03/24.34    (e1 = e0) & $i(e3) & $i(e2) & $i(e1) & $i(e0)
% 164.03/24.34  
% 164.03/24.34    (ax5)
% 164.03/24.36    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : 
% 164.03/24.36    ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8:
% 164.03/24.36      $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13:
% 164.03/24.36      $i] :  ? [v14: $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18:
% 164.03/24.36      $i] :  ? [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23:
% 164.03/24.36      $i] :  ? [v24: $i] :  ? [v25: $i] :  ? [v26: $i] :  ? [v27: $i] :  ? [v28:
% 164.03/24.36      $i] :  ? [v29: $i] :  ? [v30: $i] :  ? [v31: $i] : (op(e3, v15) = v31 &
% 164.03/24.36      op(e3, v11) = v30 & op(e3, v7) = v29 & op(e3, v3) = v28 & op(e3, e3) = v15 &
% 164.03/24.36      op(e3, e2) = v11 & op(e3, e1) = v7 & op(e3, e0) = v3 & op(e2, v14) = v27 &
% 164.03/24.36      op(e2, v10) = v26 & op(e2, v6) = v25 & op(e2, v2) = v24 & op(e2, e3) = v14 &
% 164.03/24.36      op(e2, e2) = v10 & op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, v13) = v23 &
% 164.03/24.36      op(e1, v9) = v22 & op(e1, v5) = v21 & op(e1, v1) = v20 & op(e1, e3) = v13 &
% 164.03/24.36      op(e1, e2) = v9 & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, v12) = v19 &
% 164.03/24.36      op(e0, v8) = v18 & op(e0, v4) = v17 & op(e0, v0) = v16 & op(e0, e3) = v12 &
% 164.03/24.36      op(e0, e2) = v8 & op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v31) & $i(v30) &
% 164.03/24.36      $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v23) &
% 164.03/24.36      $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) &
% 164.03/24.36      $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8)
% 164.03/24.36      & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 164.03/24.36      (v15 = e3 | v14 = e2 | v13 = e1 | v12 = e0) & (v15 = e3 | v10 = e2 | v5 = e1
% 164.03/24.36        | v0 = e0 | (v14 = e3 & v13 = e1 & v11 = e3 & v7 = e1) | (v14 = e3 & v12 =
% 164.03/24.36          e0 & v11 = e3 & v3 = e0) | (v14 = e3 & v11 = e3 & v9 = e2 & v6 = e2) |
% 164.03/24.36        (v14 = e3 & v11 = e3 & v8 = e2 & v2 = e2) | (v14 = e2 & v13 = e3 & v11 =
% 164.03/24.36          e2 & v7 = e3) | (v14 = e2 & v12 = e3 & v11 = e2 & v3 = e3) | (v14 = e2 &
% 164.03/24.36          v11 = e2 & v9 = e1 & v6 = e1) | (v14 = e2 & v11 = e2 & v8 = e0 & v2 =
% 164.03/24.36          e0) | (v14 = e2 & v11 = e2 & e3 = e2) | (v13 = e3 & v12 = e0 & v7 = e3 &
% 164.03/24.36          v3 = e0) | (v13 = e3 & v9 = e1 & v7 = e3 & v6 = e1) | (v13 = e3 & v7 =
% 164.03/24.36          e3 & v4 = e1 & v1 = e1) | (v13 = e1 & v12 = e3 & v7 = e1 & v3 = e3) |
% 164.03/24.36        (v13 = e1 & v9 = e2 & v7 = e1 & v6 = e2) | (v13 = e1 & v7 = e1 & v4 = e0 &
% 164.03/24.36          v1 = e0) | (v13 = e1 & v7 = e1 & e3 = e1) | (v12 = e3 & v8 = e0 & v3 =
% 164.03/24.36          e3 & v2 = e0) | (v12 = e3 & v4 = e0 & v3 = e3 & v1 = e0) | (v12 = e0 &
% 164.03/24.36          v8 = e2 & v3 = e0 & v2 = e2) | (v12 = e0 & v4 = e1 & v3 = e0 & v1 = e1)
% 164.03/24.36        | (v12 = e0 & v3 = e0 & e3 = e0) | (v9 = e2 & v8 = e0 & v6 = e2 & v2 = e0)
% 164.03/24.36        | (v9 = e2 & v6 = e2 & v4 = e1 & v1 = e1) | (v9 = e1 & v8 = e2 & v6 = e1 &
% 164.03/24.36          v2 = e2) | (v9 = e1 & v6 = e1 & v4 = e0 & v1 = e0) | (v9 = e1 & v6 = e1
% 164.03/24.36          & e2 = e1) | (v8 = e2 & v4 = e0 & v2 = e2 & v1 = e0) | (v8 = e0 & v4 =
% 164.03/24.36          e1 & v2 = e0 & v1 = e1) | (v8 = e0 & v2 = e0 & e2 = e0) | (v4 = e0 & v1
% 164.03/24.36          = e0 & e1 = e0)) & (v11 = e3 | v10 = e2 | v9 = e1 | v8 = e0) & (v7 = e3
% 164.03/24.36        | v6 = e2 | v5 = e1 | v4 = e0) & (v3 = e3 | v2 = e2 | v1 = e1 | v0 = e0) &
% 164.03/24.36      (( ~ (v31 = e3) &  ~ (v30 = e2) &  ~ (v29 = e1) &  ~ (v28 = e0)) | ( ~ (v27
% 164.03/24.36            = e3) &  ~ (v26 = e2) &  ~ (v25 = e1) &  ~ (v24 = e0)) | ( ~ (v23 =
% 164.03/24.36            e3) &  ~ (v22 = e2) &  ~ (v21 = e1) &  ~ (v20 = e0)) | ( ~ (v19 = e3)
% 164.03/24.36          &  ~ (v18 = e2) &  ~ (v17 = e1) &  ~ (v16 = e0))))
% 164.03/24.36  
% 164.03/24.36    (ax6)
% 164.03/24.36    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 164.03/24.36    (op(v1, v0) = v2 & op(v0, e1) = v1 & op(e1, e1) = v0 & $i(v2) & $i(v1) &
% 164.03/24.36      $i(v0) & ( ~ (v2 = e2) |  ~ (v1 = e3) |  ~ (v0 = e0)))
% 164.03/24.36  
% 164.03/24.36    (ax7)
% 164.03/24.36    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 164.03/24.36    (op(v1, v0) = v2 & op(v0, e1) = v1 & op(e1, e1) = v0 & $i(v2) & $i(v1) &
% 164.03/24.36      $i(v0) & ( ~ (v2 = e3) |  ~ (v1 = e2) |  ~ (v0 = e0)))
% 164.03/24.36  
% 164.03/24.36    (ax8)
% 164.03/24.36    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 164.03/24.36    (op(v1, v0) = v2 & op(v0, e2) = v1 & op(e2, e2) = v0 & $i(v2) & $i(v1) &
% 164.03/24.36      $i(v0) & ( ~ (v2 = e1) |  ~ (v1 = e3) |  ~ (v0 = e0)))
% 164.03/24.36  
% 164.03/24.36    (ax9)
% 164.03/24.37    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 164.03/24.37    (op(v1, v0) = v2 & op(v0, e2) = v1 & op(e2, e2) = v0 & $i(v2) & $i(v1) &
% 164.03/24.37      $i(v0) & ( ~ (v2 = e3) |  ~ (v1 = e1) |  ~ (v0 = e0)))
% 164.03/24.37  
% 164.03/24.37    (function-axioms)
% 164.03/24.37     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (op(v3,
% 164.03/24.37          v2) = v1) |  ~ (op(v3, v2) = v0))
% 164.03/24.37  
% 164.03/24.37  Those formulas are unsatisfiable:
% 164.03/24.37  ---------------------------------
% 164.03/24.37  
% 164.03/24.37  Begin of proof
% 164.03/24.37  | 
% 164.03/24.37  | ALPHA: (ax1) implies:
% 164.03/24.38  |   (1)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 164.03/24.38  |        ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] :  ?
% 164.03/24.38  |        [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14: $i] :
% 164.03/24.38  |         ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3, e1) = v13
% 164.03/24.38  |          & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 & op(e2, e1)
% 164.03/24.38  |          = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 & op(e1,
% 164.03/24.38  |            e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 164.03/24.38  |          op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) &
% 164.03/24.38  |          $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 164.03/24.38  |          $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15
% 164.03/24.38  |            = e2 | v15 = e1 | v15 = e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14
% 164.03/24.38  |            = e0) & (v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e3 |
% 164.03/24.38  |            v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e3 | v11 = e2 | v11 = e1 |
% 164.03/24.38  |            v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0) & (v9 = e3
% 164.03/24.38  |            | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 | v8 = e1 | v8
% 164.03/24.38  |            = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 | v6 =
% 164.03/24.38  |            e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 164.03/24.38  |          (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 =
% 164.03/24.38  |            e1 | v3 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3
% 164.03/24.38  |            | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0
% 164.03/24.38  |            = e0))
% 164.03/24.38  | 
% 164.03/24.38  | ALPHA: (ax2) implies:
% 164.03/24.39  |   (2)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 164.03/24.39  |        ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] :  ?
% 164.03/24.39  |        [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14: $i] :
% 164.03/24.39  |         ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3, e1) = v11
% 164.03/24.39  |          & op(e3, e0) = v6 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1)
% 164.03/24.39  |          = v10 & op(e2, e0) = v5 & op(e1, e3) = v9 & op(e1, e2) = v8 & op(e1,
% 164.03/24.40  |            e1) = v7 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 164.03/24.40  |          op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) &
% 164.03/24.40  |          $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 164.03/24.40  |          $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v14
% 164.03/24.40  |            = e3 | v11 = e3 | v6 = e3) & (v15 = e3 | v13 = e3 | v9 = e3 | v3 =
% 164.03/24.40  |            e3) & (v15 = e2 | v14 = e2 | v11 = e2 | v6 = e2) & (v15 = e2 | v13
% 164.03/24.40  |            = e2 | v9 = e2 | v3 = e2) & (v15 = e1 | v14 = e1 | v11 = e1 | v6 =
% 164.03/24.40  |            e1) & (v15 = e1 | v13 = e1 | v9 = e1 | v3 = e1) & (v15 = e0 | v14 =
% 164.03/24.40  |            e0 | v11 = e0 | v6 = e0) & (v15 = e0 | v13 = e0 | v9 = e0 | v3 =
% 164.03/24.40  |            e0) & (v14 = e3 | v12 = e3 | v8 = e3 | v2 = e3) & (v14 = e2 | v12 =
% 164.03/24.40  |            e2 | v8 = e2 | v2 = e2) & (v14 = e1 | v12 = e1 | v8 = e1 | v2 = e1)
% 164.03/24.40  |          & (v14 = e0 | v12 = e0 | v8 = e0 | v2 = e0) & (v13 = e3 | v12 = e3 |
% 164.03/24.40  |            v10 = e3 | v5 = e3) & (v13 = e2 | v12 = e2 | v10 = e2 | v5 = e2) &
% 164.03/24.40  |          (v13 = e1 | v12 = e1 | v10 = e1 | v5 = e1) & (v13 = e0 | v12 = e0 |
% 164.03/24.40  |            v10 = e0 | v5 = e0) & (v11 = e3 | v10 = e3 | v7 = e3 | v1 = e3) &
% 164.03/24.40  |          (v11 = e2 | v10 = e2 | v7 = e2 | v1 = e2) & (v11 = e1 | v10 = e1 | v7
% 164.03/24.40  |            = e1 | v1 = e1) & (v11 = e0 | v10 = e0 | v7 = e0 | v1 = e0) & (v9 =
% 164.03/24.40  |            e3 | v8 = e3 | v7 = e3 | v4 = e3) & (v9 = e2 | v8 = e2 | v7 = e2 |
% 164.03/24.40  |            v4 = e2) & (v9 = e1 | v8 = e1 | v7 = e1 | v4 = e1) & (v9 = e0 | v8
% 164.03/24.40  |            = e0 | v7 = e0 | v4 = e0) & (v6 = e3 | v5 = e3 | v4 = e3 | v0 = e3)
% 164.03/24.40  |          & (v6 = e2 | v5 = e2 | v4 = e2 | v0 = e2) & (v6 = e1 | v5 = e1 | v4 =
% 164.03/24.40  |            e1 | v0 = e1) & (v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v3 = e2
% 164.03/24.40  |            | v2 = e2 | v1 = e2 | v0 = e2) & (v3 = e1 | v2 = e1 | v1 = e1 | v0
% 164.03/24.40  |            = e1) & (v0 = e0 | ((v6 = e0 | v5 = e0 | v4 = e0) & (v3 = e0 | v2 =
% 164.03/24.40  |                e0 | v1 = e0))))
% 164.03/24.40  | 
% 164.03/24.40  | ALPHA: (ax3) implies:
% 164.03/24.40  |   (3)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 164.03/24.40  |        ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] :  ?
% 164.03/24.40  |        [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14: $i] :
% 164.03/24.40  |         ? [v15: $i] : ( ~ (v15 = v14) &  ~ (v15 = v13) &  ~ (v15 = v12) &  ~
% 164.03/24.40  |          (v15 = v11) &  ~ (v15 = v7) &  ~ (v15 = v3) &  ~ (v14 = v13) &  ~
% 164.03/24.40  |          (v14 = v12) &  ~ (v14 = v10) &  ~ (v14 = v6) &  ~ (v14 = v2) &  ~
% 164.03/24.40  |          (v13 = v12) &  ~ (v13 = v9) &  ~ (v13 = v5) &  ~ (v13 = v1) &  ~ (v12
% 164.03/24.40  |            = v8) &  ~ (v12 = v4) &  ~ (v12 = v0) &  ~ (v11 = v10) &  ~ (v11 =
% 164.03/24.40  |            v9) &  ~ (v11 = v8) &  ~ (v11 = v7) &  ~ (v11 = v3) &  ~ (v10 = v9)
% 164.03/24.40  |          &  ~ (v10 = v8) &  ~ (v10 = v6) &  ~ (v10 = v2) &  ~ (v9 = v8) &  ~
% 164.03/24.40  |          (v9 = v5) &  ~ (v9 = v1) &  ~ (v8 = v4) &  ~ (v8 = v0) &  ~ (v7 = v6)
% 164.03/24.40  |          &  ~ (v7 = v5) &  ~ (v7 = v4) &  ~ (v7 = v3) &  ~ (v6 = v5) &  ~ (v6
% 164.03/24.40  |            = v4) &  ~ (v6 = v2) &  ~ (v5 = v4) &  ~ (v5 = v1) &  ~ (v4 = v0) &
% 164.03/24.40  |           ~ (v3 = v2) &  ~ (v3 = v1) &  ~ (v3 = v0) &  ~ (v2 = v1) &  ~ (v2 =
% 164.03/24.40  |            v0) &  ~ (v1 = v0) & op(e3, e3) = v15 & op(e3, e2) = v11 & op(e3,
% 164.03/24.40  |            e1) = v7 & op(e3, e0) = v3 & op(e2, e3) = v14 & op(e2, e2) = v10 &
% 164.03/24.40  |          op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, e3) = v13 & op(e1, e2) =
% 164.03/24.40  |          v9 & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, e3) = v12 & op(e0,
% 164.03/24.40  |            e2) = v8 & op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v15) & $i(v14) &
% 164.03/24.40  |          $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 164.03/24.40  |          $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 164.03/24.40  | 
% 164.03/24.41  | ALPHA: (ax4) implies:
% 164.03/24.41  |   (4)   ~ (e1 = e0)
% 164.03/24.41  |   (5)   ~ (e2 = e0)
% 164.03/24.41  |   (6)   ~ (e2 = e1)
% 164.03/24.41  |   (7)   ~ (e3 = e0)
% 164.03/24.41  |   (8)   ~ (e3 = e1)
% 164.03/24.41  |   (9)   ~ (e3 = e2)
% 164.03/24.41  | 
% 164.03/24.41  | ALPHA: (ax5) implies:
% 164.46/24.42  |   (10)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 164.46/24.42  |         ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] : 
% 164.46/24.42  |         ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14:
% 164.46/24.42  |           $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18: $i] :  ?
% 164.46/24.42  |         [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23: $i]
% 164.46/24.42  |         :  ? [v24: $i] :  ? [v25: $i] :  ? [v26: $i] :  ? [v27: $i] :  ? [v28:
% 164.46/24.42  |           $i] :  ? [v29: $i] :  ? [v30: $i] :  ? [v31: $i] : (op(e3, v15) =
% 164.46/24.42  |           v31 & op(e3, v11) = v30 & op(e3, v7) = v29 & op(e3, v3) = v28 &
% 164.46/24.42  |           op(e3, e3) = v15 & op(e3, e2) = v11 & op(e3, e1) = v7 & op(e3, e0) =
% 164.46/24.42  |           v3 & op(e2, v14) = v27 & op(e2, v10) = v26 & op(e2, v6) = v25 &
% 164.46/24.42  |           op(e2, v2) = v24 & op(e2, e3) = v14 & op(e2, e2) = v10 & op(e2, e1)
% 164.46/24.42  |           = v6 & op(e2, e0) = v2 & op(e1, v13) = v23 & op(e1, v9) = v22 &
% 164.46/24.42  |           op(e1, v5) = v21 & op(e1, v1) = v20 & op(e1, e3) = v13 & op(e1, e2)
% 164.46/24.42  |           = v9 & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, v12) = v19 &
% 164.46/24.42  |           op(e0, v8) = v18 & op(e0, v4) = v17 & op(e0, v0) = v16 & op(e0, e3)
% 164.46/24.42  |           = v12 & op(e0, e2) = v8 & op(e0, e1) = v4 & op(e0, e0) = v0 &
% 164.46/24.42  |           $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25)
% 164.46/24.42  |           & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) &
% 164.46/24.42  |           $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12)
% 164.46/24.42  |           & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 164.46/24.42  |           $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v14 = e2 |
% 164.46/24.42  |             v13 = e1 | v12 = e0) & (v15 = e3 | v10 = e2 | v5 = e1 | v0 = e0 |
% 164.46/24.42  |             (v14 = e3 & v13 = e1 & v11 = e3 & v7 = e1) | (v14 = e3 & v12 = e0
% 164.46/24.42  |               & v11 = e3 & v3 = e0) | (v14 = e3 & v11 = e3 & v9 = e2 & v6 =
% 164.46/24.42  |               e2) | (v14 = e3 & v11 = e3 & v8 = e2 & v2 = e2) | (v14 = e2 &
% 164.46/24.42  |               v13 = e3 & v11 = e2 & v7 = e3) | (v14 = e2 & v12 = e3 & v11 = e2
% 164.46/24.42  |               & v3 = e3) | (v14 = e2 & v11 = e2 & v9 = e1 & v6 = e1) | (v14 =
% 164.46/24.42  |               e2 & v11 = e2 & v8 = e0 & v2 = e0) | (v14 = e2 & v11 = e2 & e3 =
% 164.46/24.42  |               e2) | (v13 = e3 & v12 = e0 & v7 = e3 & v3 = e0) | (v13 = e3 & v9
% 164.46/24.42  |               = e1 & v7 = e3 & v6 = e1) | (v13 = e3 & v7 = e3 & v4 = e1 & v1 =
% 164.46/24.42  |               e1) | (v13 = e1 & v12 = e3 & v7 = e1 & v3 = e3) | (v13 = e1 & v9
% 164.46/24.42  |               = e2 & v7 = e1 & v6 = e2) | (v13 = e1 & v7 = e1 & v4 = e0 & v1 =
% 164.46/24.42  |               e0) | (v13 = e1 & v7 = e1 & e3 = e1) | (v12 = e3 & v8 = e0 & v3
% 164.46/24.42  |               = e3 & v2 = e0) | (v12 = e3 & v4 = e0 & v3 = e3 & v1 = e0) |
% 164.46/24.42  |             (v12 = e0 & v8 = e2 & v3 = e0 & v2 = e2) | (v12 = e0 & v4 = e1 &
% 164.46/24.42  |               v3 = e0 & v1 = e1) | (v12 = e0 & v3 = e0 & e3 = e0) | (v9 = e2 &
% 164.46/24.42  |               v8 = e0 & v6 = e2 & v2 = e0) | (v9 = e2 & v6 = e2 & v4 = e1 & v1
% 164.46/24.42  |               = e1) | (v9 = e1 & v8 = e2 & v6 = e1 & v2 = e2) | (v9 = e1 & v6
% 164.46/24.42  |               = e1 & v4 = e0 & v1 = e0) | (v9 = e1 & v6 = e1 & e2 = e1) | (v8
% 164.46/24.42  |               = e2 & v4 = e0 & v2 = e2 & v1 = e0) | (v8 = e0 & v4 = e1 & v2 =
% 164.46/24.42  |               e0 & v1 = e1) | (v8 = e0 & v2 = e0 & e2 = e0) | (v4 = e0 & v1 =
% 164.46/24.42  |               e0 & e1 = e0)) & (v11 = e3 | v10 = e2 | v9 = e1 | v8 = e0) & (v7
% 164.46/24.42  |             = e3 | v6 = e2 | v5 = e1 | v4 = e0) & (v3 = e3 | v2 = e2 | v1 = e1
% 164.46/24.42  |             | v0 = e0) & (( ~ (v31 = e3) &  ~ (v30 = e2) &  ~ (v29 = e1) &  ~
% 164.46/24.42  |               (v28 = e0)) | ( ~ (v27 = e3) &  ~ (v26 = e2) &  ~ (v25 = e1) & 
% 164.46/24.42  |               ~ (v24 = e0)) | ( ~ (v23 = e3) &  ~ (v22 = e2) &  ~ (v21 = e1) &
% 164.46/24.42  |                ~ (v20 = e0)) | ( ~ (v19 = e3) &  ~ (v18 = e2) &  ~ (v17 = e1)
% 164.46/24.42  |               &  ~ (v16 = e0))))
% 164.46/24.42  | 
% 164.46/24.42  | ALPHA: (ax6) implies:
% 164.46/24.43  |   (11)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(v1, v0) = v2 & op(v0,
% 164.46/24.43  |             e1) = v1 & op(e1, e1) = v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 =
% 164.46/24.43  |               e2) |  ~ (v1 = e3) |  ~ (v0 = e0)))
% 164.46/24.43  | 
% 164.46/24.43  | ALPHA: (ax7) implies:
% 164.46/24.43  |   (12)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(v1, v0) = v2 & op(v0,
% 164.46/24.43  |             e1) = v1 & op(e1, e1) = v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 =
% 164.46/24.43  |               e3) |  ~ (v1 = e2) |  ~ (v0 = e0)))
% 164.46/24.43  | 
% 164.46/24.43  | ALPHA: (ax8) implies:
% 164.46/24.43  |   (13)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(v1, v0) = v2 & op(v0,
% 164.46/24.43  |             e2) = v1 & op(e2, e2) = v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 =
% 164.46/24.43  |               e1) |  ~ (v1 = e3) |  ~ (v0 = e0)))
% 164.46/24.43  | 
% 164.46/24.43  | ALPHA: (ax9) implies:
% 164.46/24.43  |   (14)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(v1, v0) = v2 & op(v0,
% 164.46/24.43  |             e2) = v1 & op(e2, e2) = v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 =
% 164.46/24.43  |               e3) |  ~ (v1 = e1) |  ~ (v0 = e0)))
% 164.46/24.43  | 
% 164.46/24.43  | ALPHA: (ax10) implies:
% 164.46/24.43  |   (15)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(v1, v0) = v2 & op(v0,
% 164.46/24.43  |             e3) = v1 & op(e3, e3) = v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 =
% 164.46/24.43  |               e1) |  ~ (v1 = e2) |  ~ (v0 = e0)))
% 164.46/24.43  | 
% 164.46/24.43  | ALPHA: (ax11) implies:
% 164.46/24.43  |   (16)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(v1, v0) = v2 & op(v0,
% 164.46/24.43  |             e3) = v1 & op(e3, e3) = v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 =
% 164.46/24.43  |               e2) |  ~ (v1 = e1) |  ~ (v0 = e0)))
% 164.46/24.43  | 
% 164.46/24.43  | ALPHA: (ax12) implies:
% 164.46/24.43  |   (17)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(v1, v0) = v2 & op(v0,
% 164.46/24.43  |             e0) = v1 & op(e0, e0) = v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 =
% 164.46/24.43  |               e2) |  ~ (v1 = e3) |  ~ (v0 = e1)))
% 164.46/24.43  | 
% 164.46/24.43  | ALPHA: (ax13) implies:
% 164.46/24.43  |   (18)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(v1, v0) = v2 & op(v0,
% 164.46/24.43  |             e0) = v1 & op(e0, e0) = v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 =
% 164.46/24.43  |               e3) |  ~ (v1 = e2) |  ~ (v0 = e1)))
% 164.46/24.43  | 
% 164.46/24.43  | ALPHA: (ax14) implies:
% 164.46/24.43  |   (19)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(v1, v0) = v2 & op(v0,
% 164.46/24.43  |             e2) = v1 & op(e2, e2) = v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 =
% 164.46/24.43  |               e0) |  ~ (v1 = e3) |  ~ (v0 = e1)))
% 164.46/24.43  | 
% 164.46/24.43  | ALPHA: (ax15) implies:
% 164.46/24.43  |   (20)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(v1, v0) = v2 & op(v0,
% 164.46/24.43  |             e2) = v1 & op(e2, e2) = v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 =
% 164.46/24.43  |               e3) |  ~ (v1 = e0) |  ~ (v0 = e1)))
% 164.46/24.43  | 
% 164.46/24.43  | ALPHA: (ax16) implies:
% 164.46/24.44  |   (21)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(v1, v0) = v2 & op(v0,
% 164.46/24.44  |             e3) = v1 & op(e3, e3) = v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 =
% 164.46/24.44  |               e0) |  ~ (v1 = e2) |  ~ (v0 = e1)))
% 164.46/24.44  | 
% 164.46/24.44  | ALPHA: (ax17) implies:
% 164.46/24.44  |   (22)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(v1, v0) = v2 & op(v0,
% 164.46/24.44  |             e3) = v1 & op(e3, e3) = v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 =
% 164.46/24.44  |               e2) |  ~ (v1 = e0) |  ~ (v0 = e1)))
% 164.46/24.44  | 
% 164.46/24.44  | ALPHA: (ax18) implies:
% 164.46/24.44  |   (23)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(v1, v0) = v2 & op(v0,
% 164.46/24.44  |             e0) = v1 & op(e0, e0) = v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 =
% 164.46/24.44  |               e1) |  ~ (v1 = e3) |  ~ (v0 = e2)))
% 164.46/24.44  | 
% 164.46/24.44  | ALPHA: (ax19) implies:
% 164.46/24.44  |   (24)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(v1, v0) = v2 & op(v0,
% 164.46/24.44  |             e0) = v1 & op(e0, e0) = v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 =
% 164.46/24.44  |               e3) |  ~ (v1 = e1) |  ~ (v0 = e2)))
% 164.46/24.44  | 
% 164.46/24.44  | ALPHA: (ax20) implies:
% 164.46/24.44  |   (25)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(v1, v0) = v2 & op(v0,
% 164.46/24.44  |             e1) = v1 & op(e1, e1) = v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 =
% 164.46/24.44  |               e0) |  ~ (v1 = e3) |  ~ (v0 = e2)))
% 164.46/24.44  | 
% 164.46/24.44  | ALPHA: (ax21) implies:
% 164.46/24.44  |   (26)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(v1, v0) = v2 & op(v0,
% 164.46/24.44  |             e1) = v1 & op(e1, e1) = v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 =
% 164.46/24.44  |               e3) |  ~ (v1 = e0) |  ~ (v0 = e2)))
% 164.46/24.44  | 
% 164.46/24.44  | ALPHA: (ax22) implies:
% 164.46/24.44  |   (27)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(v1, v0) = v2 & op(v0,
% 164.46/24.44  |             e3) = v1 & op(e3, e3) = v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 =
% 164.46/24.44  |               e0) |  ~ (v1 = e1) |  ~ (v0 = e2)))
% 164.46/24.44  | 
% 164.46/24.44  | ALPHA: (ax23) implies:
% 164.46/24.44  |   (28)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(v1, v0) = v2 & op(v0,
% 164.46/24.44  |             e3) = v1 & op(e3, e3) = v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 =
% 164.46/24.44  |               e1) |  ~ (v1 = e0) |  ~ (v0 = e2)))
% 164.46/24.44  | 
% 164.46/24.44  | ALPHA: (ax24) implies:
% 164.46/24.44  |   (29)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(v1, v0) = v2 & op(v0,
% 164.46/24.44  |             e0) = v1 & op(e0, e0) = v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 =
% 164.46/24.44  |               e1) |  ~ (v1 = e2) |  ~ (v0 = e3)))
% 164.46/24.44  | 
% 164.46/24.44  | ALPHA: (ax25) implies:
% 164.46/24.44  |   (30)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(v1, v0) = v2 & op(v0,
% 164.46/24.44  |             e0) = v1 & op(e0, e0) = v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 =
% 164.46/24.44  |               e2) |  ~ (v1 = e1) |  ~ (v0 = e3)))
% 164.46/24.44  | 
% 164.46/24.44  | ALPHA: (ax26) implies:
% 164.46/24.44  |   (31)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(v1, v0) = v2 & op(v0,
% 164.46/24.44  |             e1) = v1 & op(e1, e1) = v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 =
% 164.46/24.44  |               e0) |  ~ (v1 = e2) |  ~ (v0 = e3)))
% 164.46/24.44  | 
% 164.46/24.44  | ALPHA: (ax27) implies:
% 164.46/24.44  |   (32)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(v1, v0) = v2 & op(v0,
% 164.46/24.44  |             e1) = v1 & op(e1, e1) = v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 =
% 164.46/24.44  |               e2) |  ~ (v1 = e0) |  ~ (v0 = e3)))
% 164.46/24.44  | 
% 164.46/24.44  | ALPHA: (ax28) implies:
% 164.46/24.45  |   (33)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(v1, v0) = v2 & op(v0,
% 164.46/24.45  |             e2) = v1 & op(e2, e2) = v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 =
% 164.46/24.45  |               e0) |  ~ (v1 = e1) |  ~ (v0 = e3)))
% 164.46/24.45  | 
% 164.46/24.45  | ALPHA: (ax29) implies:
% 164.46/24.45  |   (34)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(v1, v0) = v2 & op(v0,
% 164.46/24.45  |             e2) = v1 & op(e2, e2) = v0 & $i(v2) & $i(v1) & $i(v0) & ( ~ (v2 =
% 164.46/24.45  |               e1) |  ~ (v1 = e0) |  ~ (v0 = e3)))
% 164.46/24.45  | 
% 164.46/24.45  | DELTA: instantiating (20) with fresh symbols all_4_0, all_4_1, all_4_2 gives:
% 164.46/24.45  |   (35)  op(all_4_1, all_4_2) = all_4_0 & op(all_4_2, e2) = all_4_1 & op(e2,
% 164.46/24.45  |           e2) = all_4_2 & $i(all_4_0) & $i(all_4_1) & $i(all_4_2) & ( ~
% 164.46/24.45  |           (all_4_0 = e3) |  ~ (all_4_1 = e0) |  ~ (all_4_2 = e1))
% 164.46/24.45  | 
% 164.46/24.45  | ALPHA: (35) implies:
% 164.46/24.45  |   (36)  op(e2, e2) = all_4_2
% 164.46/24.45  |   (37)  op(all_4_2, e2) = all_4_1
% 164.46/24.45  |   (38)  op(all_4_1, all_4_2) = all_4_0
% 164.46/24.45  |   (39)   ~ (all_4_0 = e3) |  ~ (all_4_1 = e0) |  ~ (all_4_2 = e1)
% 164.46/24.45  | 
% 164.46/24.45  | DELTA: instantiating (27) with fresh symbols all_6_0, all_6_1, all_6_2 gives:
% 164.46/24.45  |   (40)  op(all_6_1, all_6_2) = all_6_0 & op(all_6_2, e3) = all_6_1 & op(e3,
% 164.46/24.45  |           e3) = all_6_2 & $i(all_6_0) & $i(all_6_1) & $i(all_6_2) & ( ~
% 164.46/24.45  |           (all_6_0 = e0) |  ~ (all_6_1 = e1) |  ~ (all_6_2 = e2))
% 164.46/24.45  | 
% 164.46/24.45  | ALPHA: (40) implies:
% 164.46/24.45  |   (41)  op(e3, e3) = all_6_2
% 164.46/24.45  |   (42)  op(all_6_2, e3) = all_6_1
% 164.46/24.45  |   (43)  op(all_6_1, all_6_2) = all_6_0
% 164.46/24.45  |   (44)   ~ (all_6_0 = e0) |  ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 164.46/24.45  | 
% 164.46/24.45  | DELTA: instantiating (21) with fresh symbols all_8_0, all_8_1, all_8_2 gives:
% 164.46/24.45  |   (45)  op(all_8_1, all_8_2) = all_8_0 & op(all_8_2, e3) = all_8_1 & op(e3,
% 164.46/24.45  |           e3) = all_8_2 & $i(all_8_0) & $i(all_8_1) & $i(all_8_2) & ( ~
% 164.46/24.45  |           (all_8_0 = e0) |  ~ (all_8_1 = e2) |  ~ (all_8_2 = e1))
% 164.46/24.45  | 
% 164.46/24.45  | ALPHA: (45) implies:
% 164.46/24.45  |   (46)  op(e3, e3) = all_8_2
% 164.46/24.45  |   (47)  op(all_8_2, e3) = all_8_1
% 164.46/24.45  |   (48)  op(all_8_1, all_8_2) = all_8_0
% 164.46/24.45  |   (49)   ~ (all_8_0 = e0) |  ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 164.46/24.45  | 
% 164.46/24.45  | DELTA: instantiating (11) with fresh symbols all_10_0, all_10_1, all_10_2
% 164.46/24.45  |        gives:
% 164.46/24.45  |   (50)  op(all_10_1, all_10_2) = all_10_0 & op(all_10_2, e1) = all_10_1 &
% 164.46/24.45  |         op(e1, e1) = all_10_2 & $i(all_10_0) & $i(all_10_1) & $i(all_10_2) & (
% 164.46/24.45  |           ~ (all_10_0 = e2) |  ~ (all_10_1 = e3) |  ~ (all_10_2 = e0))
% 164.46/24.45  | 
% 164.46/24.45  | ALPHA: (50) implies:
% 164.46/24.45  |   (51)  op(e1, e1) = all_10_2
% 164.46/24.45  |   (52)  op(all_10_2, e1) = all_10_1
% 164.46/24.45  |   (53)  op(all_10_1, all_10_2) = all_10_0
% 164.46/24.45  |   (54)   ~ (all_10_0 = e2) |  ~ (all_10_1 = e3) |  ~ (all_10_2 = e0)
% 164.46/24.45  | 
% 164.46/24.45  | DELTA: instantiating (22) with fresh symbols all_12_0, all_12_1, all_12_2
% 164.46/24.45  |        gives:
% 164.46/24.45  |   (55)  op(all_12_1, all_12_2) = all_12_0 & op(all_12_2, e3) = all_12_1 &
% 164.46/24.45  |         op(e3, e3) = all_12_2 & $i(all_12_0) & $i(all_12_1) & $i(all_12_2) & (
% 164.46/24.45  |           ~ (all_12_0 = e2) |  ~ (all_12_1 = e0) |  ~ (all_12_2 = e1))
% 164.46/24.45  | 
% 164.46/24.45  | ALPHA: (55) implies:
% 164.46/24.45  |   (56)  op(e3, e3) = all_12_2
% 164.46/24.45  |   (57)  op(all_12_2, e3) = all_12_1
% 164.46/24.45  |   (58)  op(all_12_1, all_12_2) = all_12_0
% 164.46/24.45  |   (59)   ~ (all_12_0 = e2) |  ~ (all_12_1 = e0) |  ~ (all_12_2 = e1)
% 164.46/24.45  | 
% 164.46/24.45  | DELTA: instantiating (29) with fresh symbols all_14_0, all_14_1, all_14_2
% 164.46/24.45  |        gives:
% 164.46/24.45  |   (60)  op(all_14_1, all_14_2) = all_14_0 & op(all_14_2, e0) = all_14_1 &
% 164.46/24.45  |         op(e0, e0) = all_14_2 & $i(all_14_0) & $i(all_14_1) & $i(all_14_2) & (
% 164.46/24.45  |           ~ (all_14_0 = e1) |  ~ (all_14_1 = e2) |  ~ (all_14_2 = e3))
% 164.46/24.45  | 
% 164.46/24.45  | ALPHA: (60) implies:
% 164.46/24.45  |   (61)  op(e0, e0) = all_14_2
% 164.46/24.45  |   (62)  op(all_14_2, e0) = all_14_1
% 164.46/24.45  |   (63)  op(all_14_1, all_14_2) = all_14_0
% 164.46/24.45  |   (64)   ~ (all_14_0 = e1) |  ~ (all_14_1 = e2) |  ~ (all_14_2 = e3)
% 164.46/24.45  | 
% 164.46/24.45  | DELTA: instantiating (23) with fresh symbols all_16_0, all_16_1, all_16_2
% 164.46/24.45  |        gives:
% 164.46/24.45  |   (65)  op(all_16_1, all_16_2) = all_16_0 & op(all_16_2, e0) = all_16_1 &
% 164.46/24.45  |         op(e0, e0) = all_16_2 & $i(all_16_0) & $i(all_16_1) & $i(all_16_2) & (
% 164.46/24.45  |           ~ (all_16_0 = e1) |  ~ (all_16_1 = e3) |  ~ (all_16_2 = e2))
% 164.46/24.45  | 
% 164.46/24.45  | ALPHA: (65) implies:
% 164.46/24.45  |   (66)  op(e0, e0) = all_16_2
% 164.46/24.46  |   (67)  op(all_16_2, e0) = all_16_1
% 164.46/24.46  |   (68)  op(all_16_1, all_16_2) = all_16_0
% 164.46/24.46  |   (69)   ~ (all_16_0 = e1) |  ~ (all_16_1 = e3) |  ~ (all_16_2 = e2)
% 164.46/24.46  | 
% 164.46/24.46  | DELTA: instantiating (24) with fresh symbols all_18_0, all_18_1, all_18_2
% 164.46/24.46  |        gives:
% 164.46/24.46  |   (70)  op(all_18_1, all_18_2) = all_18_0 & op(all_18_2, e0) = all_18_1 &
% 164.46/24.46  |         op(e0, e0) = all_18_2 & $i(all_18_0) & $i(all_18_1) & $i(all_18_2) & (
% 164.46/24.46  |           ~ (all_18_0 = e3) |  ~ (all_18_1 = e1) |  ~ (all_18_2 = e2))
% 164.46/24.46  | 
% 164.46/24.46  | ALPHA: (70) implies:
% 164.46/24.46  |   (71)  op(e0, e0) = all_18_2
% 164.46/24.46  |   (72)  op(all_18_2, e0) = all_18_1
% 164.46/24.46  |   (73)  op(all_18_1, all_18_2) = all_18_0
% 164.46/24.46  |   (74)   ~ (all_18_0 = e3) |  ~ (all_18_1 = e1) |  ~ (all_18_2 = e2)
% 164.46/24.46  | 
% 164.46/24.46  | DELTA: instantiating (26) with fresh symbols all_20_0, all_20_1, all_20_2
% 164.46/24.46  |        gives:
% 164.46/24.46  |   (75)  op(all_20_1, all_20_2) = all_20_0 & op(all_20_2, e1) = all_20_1 &
% 164.46/24.46  |         op(e1, e1) = all_20_2 & $i(all_20_0) & $i(all_20_1) & $i(all_20_2) & (
% 164.46/24.46  |           ~ (all_20_0 = e3) |  ~ (all_20_1 = e0) |  ~ (all_20_2 = e2))
% 164.46/24.46  | 
% 164.46/24.46  | ALPHA: (75) implies:
% 164.46/24.46  |   (76)  op(e1, e1) = all_20_2
% 164.46/24.46  |   (77)  op(all_20_2, e1) = all_20_1
% 164.46/24.46  |   (78)  op(all_20_1, all_20_2) = all_20_0
% 164.46/24.46  |   (79)   ~ (all_20_0 = e3) |  ~ (all_20_1 = e0) |  ~ (all_20_2 = e2)
% 164.46/24.46  | 
% 164.46/24.46  | DELTA: instantiating (31) with fresh symbols all_22_0, all_22_1, all_22_2
% 164.46/24.46  |        gives:
% 164.46/24.46  |   (80)  op(all_22_1, all_22_2) = all_22_0 & op(all_22_2, e1) = all_22_1 &
% 164.46/24.46  |         op(e1, e1) = all_22_2 & $i(all_22_0) & $i(all_22_1) & $i(all_22_2) & (
% 164.46/24.46  |           ~ (all_22_0 = e0) |  ~ (all_22_1 = e2) |  ~ (all_22_2 = e3))
% 164.46/24.46  | 
% 164.46/24.46  | ALPHA: (80) implies:
% 164.46/24.46  |   (81)  op(e1, e1) = all_22_2
% 164.46/24.46  |   (82)  op(all_22_2, e1) = all_22_1
% 164.46/24.46  |   (83)  op(all_22_1, all_22_2) = all_22_0
% 164.46/24.46  |   (84)   ~ (all_22_0 = e0) |  ~ (all_22_1 = e2) |  ~ (all_22_2 = e3)
% 164.46/24.46  | 
% 164.46/24.46  | DELTA: instantiating (13) with fresh symbols all_24_0, all_24_1, all_24_2
% 164.46/24.46  |        gives:
% 164.46/24.46  |   (85)  op(all_24_1, all_24_2) = all_24_0 & op(all_24_2, e2) = all_24_1 &
% 164.46/24.46  |         op(e2, e2) = all_24_2 & $i(all_24_0) & $i(all_24_1) & $i(all_24_2) & (
% 164.46/24.46  |           ~ (all_24_0 = e1) |  ~ (all_24_1 = e3) |  ~ (all_24_2 = e0))
% 164.46/24.46  | 
% 164.46/24.46  | ALPHA: (85) implies:
% 164.46/24.46  |   (86)  op(e2, e2) = all_24_2
% 164.46/24.46  |   (87)  op(all_24_2, e2) = all_24_1
% 165.03/24.46  |   (88)  op(all_24_1, all_24_2) = all_24_0
% 165.03/24.46  |   (89)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3) |  ~ (all_24_2 = e0)
% 165.03/24.46  | 
% 165.03/24.46  | DELTA: instantiating (28) with fresh symbols all_26_0, all_26_1, all_26_2
% 165.03/24.46  |        gives:
% 165.03/24.46  |   (90)  op(all_26_1, all_26_2) = all_26_0 & op(all_26_2, e3) = all_26_1 &
% 165.03/24.46  |         op(e3, e3) = all_26_2 & $i(all_26_0) & $i(all_26_1) & $i(all_26_2) & (
% 165.03/24.46  |           ~ (all_26_0 = e1) |  ~ (all_26_1 = e0) |  ~ (all_26_2 = e2))
% 165.03/24.46  | 
% 165.03/24.46  | ALPHA: (90) implies:
% 165.03/24.46  |   (91)  op(e3, e3) = all_26_2
% 165.03/24.46  |   (92)  op(all_26_2, e3) = all_26_1
% 165.03/24.46  |   (93)  op(all_26_1, all_26_2) = all_26_0
% 165.03/24.46  |   (94)   ~ (all_26_0 = e1) |  ~ (all_26_1 = e0) |  ~ (all_26_2 = e2)
% 165.03/24.46  | 
% 165.03/24.46  | DELTA: instantiating (30) with fresh symbols all_28_0, all_28_1, all_28_2
% 165.03/24.46  |        gives:
% 165.03/24.46  |   (95)  op(all_28_1, all_28_2) = all_28_0 & op(all_28_2, e0) = all_28_1 &
% 165.03/24.46  |         op(e0, e0) = all_28_2 & $i(all_28_0) & $i(all_28_1) & $i(all_28_2) & (
% 165.03/24.46  |           ~ (all_28_0 = e2) |  ~ (all_28_1 = e1) |  ~ (all_28_2 = e3))
% 165.03/24.46  | 
% 165.03/24.46  | ALPHA: (95) implies:
% 165.03/24.46  |   (96)  op(e0, e0) = all_28_2
% 165.03/24.46  |   (97)  op(all_28_2, e0) = all_28_1
% 165.03/24.46  |   (98)  op(all_28_1, all_28_2) = all_28_0
% 165.03/24.46  |   (99)   ~ (all_28_0 = e2) |  ~ (all_28_1 = e1) |  ~ (all_28_2 = e3)
% 165.03/24.46  | 
% 165.03/24.46  | DELTA: instantiating (12) with fresh symbols all_30_0, all_30_1, all_30_2
% 165.03/24.46  |        gives:
% 165.03/24.46  |   (100)  op(all_30_1, all_30_2) = all_30_0 & op(all_30_2, e1) = all_30_1 &
% 165.03/24.46  |          op(e1, e1) = all_30_2 & $i(all_30_0) & $i(all_30_1) & $i(all_30_2) &
% 165.03/24.46  |          ( ~ (all_30_0 = e3) |  ~ (all_30_1 = e2) |  ~ (all_30_2 = e0))
% 165.03/24.46  | 
% 165.03/24.46  | ALPHA: (100) implies:
% 165.03/24.46  |   (101)  op(e1, e1) = all_30_2
% 165.03/24.46  |   (102)  op(all_30_2, e1) = all_30_1
% 165.03/24.46  |   (103)  op(all_30_1, all_30_2) = all_30_0
% 165.03/24.46  | 
% 165.03/24.46  | DELTA: instantiating (19) with fresh symbols all_32_0, all_32_1, all_32_2
% 165.03/24.46  |        gives:
% 165.03/24.46  |   (104)  op(all_32_1, all_32_2) = all_32_0 & op(all_32_2, e2) = all_32_1 &
% 165.03/24.46  |          op(e2, e2) = all_32_2 & $i(all_32_0) & $i(all_32_1) & $i(all_32_2) &
% 165.03/24.46  |          ( ~ (all_32_0 = e0) |  ~ (all_32_1 = e3) |  ~ (all_32_2 = e1))
% 165.03/24.46  | 
% 165.03/24.46  | ALPHA: (104) implies:
% 165.03/24.46  |   (105)  op(e2, e2) = all_32_2
% 165.03/24.46  |   (106)  op(all_32_2, e2) = all_32_1
% 165.03/24.46  |   (107)  op(all_32_1, all_32_2) = all_32_0
% 165.03/24.46  | 
% 165.03/24.46  | DELTA: instantiating (32) with fresh symbols all_34_0, all_34_1, all_34_2
% 165.03/24.46  |        gives:
% 165.03/24.46  |   (108)  op(all_34_1, all_34_2) = all_34_0 & op(all_34_2, e1) = all_34_1 &
% 165.03/24.46  |          op(e1, e1) = all_34_2 & $i(all_34_0) & $i(all_34_1) & $i(all_34_2) &
% 165.03/24.46  |          ( ~ (all_34_0 = e2) |  ~ (all_34_1 = e0) |  ~ (all_34_2 = e3))
% 165.03/24.46  | 
% 165.03/24.46  | ALPHA: (108) implies:
% 165.03/24.47  |   (109)  op(e1, e1) = all_34_2
% 165.03/24.47  |   (110)  op(all_34_2, e1) = all_34_1
% 165.03/24.47  |   (111)  op(all_34_1, all_34_2) = all_34_0
% 165.03/24.47  |   (112)   ~ (all_34_0 = e2) |  ~ (all_34_1 = e0) |  ~ (all_34_2 = e3)
% 165.03/24.47  | 
% 165.03/24.47  | DELTA: instantiating (33) with fresh symbols all_36_0, all_36_1, all_36_2
% 165.03/24.47  |        gives:
% 165.03/24.47  |   (113)  op(all_36_1, all_36_2) = all_36_0 & op(all_36_2, e2) = all_36_1 &
% 165.03/24.47  |          op(e2, e2) = all_36_2 & $i(all_36_0) & $i(all_36_1) & $i(all_36_2) &
% 165.03/24.47  |          ( ~ (all_36_0 = e0) |  ~ (all_36_1 = e1) |  ~ (all_36_2 = e3))
% 165.03/24.47  | 
% 165.03/24.47  | ALPHA: (113) implies:
% 165.03/24.47  |   (114)  op(e2, e2) = all_36_2
% 165.03/24.47  |   (115)  op(all_36_2, e2) = all_36_1
% 165.03/24.47  |   (116)  op(all_36_1, all_36_2) = all_36_0
% 165.03/24.47  | 
% 165.03/24.47  | DELTA: instantiating (25) with fresh symbols all_38_0, all_38_1, all_38_2
% 165.03/24.47  |        gives:
% 165.03/24.47  |   (117)  op(all_38_1, all_38_2) = all_38_0 & op(all_38_2, e1) = all_38_1 &
% 165.03/24.47  |          op(e1, e1) = all_38_2 & $i(all_38_0) & $i(all_38_1) & $i(all_38_2) &
% 165.03/24.47  |          ( ~ (all_38_0 = e0) |  ~ (all_38_1 = e3) |  ~ (all_38_2 = e2))
% 165.03/24.47  | 
% 165.03/24.47  | ALPHA: (117) implies:
% 165.03/24.47  |   (118)  op(e1, e1) = all_38_2
% 165.03/24.47  |   (119)  op(all_38_2, e1) = all_38_1
% 165.03/24.47  |   (120)  op(all_38_1, all_38_2) = all_38_0
% 165.03/24.47  |   (121)   ~ (all_38_0 = e0) |  ~ (all_38_1 = e3) |  ~ (all_38_2 = e2)
% 165.03/24.47  | 
% 165.03/24.47  | DELTA: instantiating (14) with fresh symbols all_40_0, all_40_1, all_40_2
% 165.03/24.47  |        gives:
% 165.03/24.47  |   (122)  op(all_40_1, all_40_2) = all_40_0 & op(all_40_2, e2) = all_40_1 &
% 165.03/24.47  |          op(e2, e2) = all_40_2 & $i(all_40_0) & $i(all_40_1) & $i(all_40_2) &
% 165.03/24.47  |          ( ~ (all_40_0 = e3) |  ~ (all_40_1 = e1) |  ~ (all_40_2 = e0))
% 165.03/24.47  | 
% 165.03/24.47  | ALPHA: (122) implies:
% 165.03/24.47  |   (123)  op(e2, e2) = all_40_2
% 165.03/24.47  |   (124)  op(all_40_2, e2) = all_40_1
% 165.03/24.47  |   (125)  op(all_40_1, all_40_2) = all_40_0
% 165.03/24.47  |   (126)   ~ (all_40_0 = e3) |  ~ (all_40_1 = e1) |  ~ (all_40_2 = e0)
% 165.03/24.47  | 
% 165.03/24.47  | DELTA: instantiating (15) with fresh symbols all_42_0, all_42_1, all_42_2
% 165.03/24.47  |        gives:
% 165.03/24.47  |   (127)  op(all_42_1, all_42_2) = all_42_0 & op(all_42_2, e3) = all_42_1 &
% 165.03/24.47  |          op(e3, e3) = all_42_2 & $i(all_42_0) & $i(all_42_1) & $i(all_42_2) &
% 165.03/24.47  |          ( ~ (all_42_0 = e1) |  ~ (all_42_1 = e2) |  ~ (all_42_2 = e0))
% 165.03/24.47  | 
% 165.03/24.47  | ALPHA: (127) implies:
% 165.03/24.47  |   (128)  op(e3, e3) = all_42_2
% 165.03/24.47  |   (129)  op(all_42_2, e3) = all_42_1
% 165.03/24.47  |   (130)  op(all_42_1, all_42_2) = all_42_0
% 165.03/24.47  |   (131)   ~ (all_42_0 = e1) |  ~ (all_42_1 = e2) |  ~ (all_42_2 = e0)
% 165.03/24.47  | 
% 165.03/24.47  | DELTA: instantiating (34) with fresh symbols all_44_0, all_44_1, all_44_2
% 165.03/24.47  |        gives:
% 165.03/24.47  |   (132)  op(all_44_1, all_44_2) = all_44_0 & op(all_44_2, e2) = all_44_1 &
% 165.03/24.47  |          op(e2, e2) = all_44_2 & $i(all_44_0) & $i(all_44_1) & $i(all_44_2) &
% 165.03/24.47  |          ( ~ (all_44_0 = e1) |  ~ (all_44_1 = e0) |  ~ (all_44_2 = e3))
% 165.03/24.47  | 
% 165.03/24.47  | ALPHA: (132) implies:
% 165.03/24.47  |   (133)  op(e2, e2) = all_44_2
% 165.03/24.47  |   (134)  op(all_44_2, e2) = all_44_1
% 165.03/24.47  |   (135)  op(all_44_1, all_44_2) = all_44_0
% 165.03/24.47  |   (136)   ~ (all_44_0 = e1) |  ~ (all_44_1 = e0) |  ~ (all_44_2 = e3)
% 165.03/24.47  | 
% 165.03/24.47  | DELTA: instantiating (16) with fresh symbols all_46_0, all_46_1, all_46_2
% 165.03/24.47  |        gives:
% 165.03/24.47  |   (137)  op(all_46_1, all_46_2) = all_46_0 & op(all_46_2, e3) = all_46_1 &
% 165.03/24.47  |          op(e3, e3) = all_46_2 & $i(all_46_0) & $i(all_46_1) & $i(all_46_2) &
% 165.03/24.47  |          ( ~ (all_46_0 = e2) |  ~ (all_46_1 = e1) |  ~ (all_46_2 = e0))
% 165.03/24.47  | 
% 165.03/24.47  | ALPHA: (137) implies:
% 165.03/24.47  |   (138)  op(e3, e3) = all_46_2
% 165.03/24.47  |   (139)  op(all_46_2, e3) = all_46_1
% 165.03/24.47  |   (140)  op(all_46_1, all_46_2) = all_46_0
% 165.03/24.47  | 
% 165.03/24.47  | DELTA: instantiating (18) with fresh symbols all_48_0, all_48_1, all_48_2
% 165.03/24.47  |        gives:
% 165.03/24.47  |   (141)  op(all_48_1, all_48_2) = all_48_0 & op(all_48_2, e0) = all_48_1 &
% 165.03/24.47  |          op(e0, e0) = all_48_2 & $i(all_48_0) & $i(all_48_1) & $i(all_48_2) &
% 165.03/24.47  |          ( ~ (all_48_0 = e3) |  ~ (all_48_1 = e2) |  ~ (all_48_2 = e1))
% 165.03/24.47  | 
% 165.03/24.47  | ALPHA: (141) implies:
% 165.03/24.47  |   (142)  op(e0, e0) = all_48_2
% 165.03/24.47  |   (143)  op(all_48_2, e0) = all_48_1
% 165.03/24.47  |   (144)  op(all_48_1, all_48_2) = all_48_0
% 165.03/24.47  |   (145)   ~ (all_48_0 = e3) |  ~ (all_48_1 = e2) |  ~ (all_48_2 = e1)
% 165.03/24.47  | 
% 165.03/24.47  | DELTA: instantiating (17) with fresh symbols all_50_0, all_50_1, all_50_2
% 165.03/24.47  |        gives:
% 165.03/24.47  |   (146)  op(all_50_1, all_50_2) = all_50_0 & op(all_50_2, e0) = all_50_1 &
% 165.03/24.47  |          op(e0, e0) = all_50_2 & $i(all_50_0) & $i(all_50_1) & $i(all_50_2) &
% 165.03/24.47  |          ( ~ (all_50_0 = e2) |  ~ (all_50_1 = e3) |  ~ (all_50_2 = e1))
% 165.03/24.47  | 
% 165.03/24.47  | ALPHA: (146) implies:
% 165.03/24.47  |   (147)  op(e0, e0) = all_50_2
% 165.03/24.47  |   (148)  op(all_50_2, e0) = all_50_1
% 165.03/24.47  |   (149)  op(all_50_1, all_50_2) = all_50_0
% 165.03/24.47  |   (150)   ~ (all_50_0 = e2) |  ~ (all_50_1 = e3) |  ~ (all_50_2 = e1)
% 165.03/24.47  | 
% 165.03/24.47  | DELTA: instantiating (3) with fresh symbols all_52_0, all_52_1, all_52_2,
% 165.03/24.47  |        all_52_3, all_52_4, all_52_5, all_52_6, all_52_7, all_52_8, all_52_9,
% 165.03/24.47  |        all_52_10, all_52_11, all_52_12, all_52_13, all_52_14, all_52_15 gives:
% 165.03/24.48  |   (151)   ~ (all_52_0 = all_52_1) &  ~ (all_52_0 = all_52_2) &  ~ (all_52_0 =
% 165.03/24.48  |            all_52_3) &  ~ (all_52_0 = all_52_4) &  ~ (all_52_0 = all_52_8) & 
% 165.03/24.48  |          ~ (all_52_0 = all_52_12) &  ~ (all_52_1 = all_52_2) &  ~ (all_52_1 =
% 165.03/24.48  |            all_52_3) &  ~ (all_52_1 = all_52_5) &  ~ (all_52_1 = all_52_9) & 
% 165.03/24.48  |          ~ (all_52_1 = all_52_13) &  ~ (all_52_2 = all_52_3) &  ~ (all_52_2 =
% 165.03/24.48  |            all_52_6) &  ~ (all_52_2 = all_52_10) &  ~ (all_52_2 = all_52_14) &
% 165.03/24.48  |           ~ (all_52_3 = all_52_7) &  ~ (all_52_3 = all_52_11) &  ~ (all_52_3 =
% 165.03/24.48  |            all_52_15) &  ~ (all_52_4 = all_52_5) &  ~ (all_52_4 = all_52_6) & 
% 165.03/24.48  |          ~ (all_52_4 = all_52_7) &  ~ (all_52_4 = all_52_8) &  ~ (all_52_4 =
% 165.03/24.48  |            all_52_12) &  ~ (all_52_5 = all_52_6) &  ~ (all_52_5 = all_52_7) & 
% 165.03/24.48  |          ~ (all_52_5 = all_52_9) &  ~ (all_52_5 = all_52_13) &  ~ (all_52_6 =
% 165.03/24.48  |            all_52_7) &  ~ (all_52_6 = all_52_10) &  ~ (all_52_6 = all_52_14) &
% 165.03/24.48  |           ~ (all_52_7 = all_52_11) &  ~ (all_52_7 = all_52_15) &  ~ (all_52_8
% 165.03/24.48  |            = all_52_9) &  ~ (all_52_8 = all_52_10) &  ~ (all_52_8 = all_52_11)
% 165.03/24.48  |          &  ~ (all_52_8 = all_52_12) &  ~ (all_52_9 = all_52_10) &  ~
% 165.03/24.48  |          (all_52_9 = all_52_11) &  ~ (all_52_9 = all_52_13) &  ~ (all_52_10 =
% 165.03/24.48  |            all_52_11) &  ~ (all_52_10 = all_52_14) &  ~ (all_52_11 =
% 165.03/24.48  |            all_52_15) &  ~ (all_52_12 = all_52_13) &  ~ (all_52_12 =
% 165.03/24.48  |            all_52_14) &  ~ (all_52_12 = all_52_15) &  ~ (all_52_13 =
% 165.03/24.48  |            all_52_14) &  ~ (all_52_13 = all_52_15) &  ~ (all_52_14 =
% 165.03/24.48  |            all_52_15) & op(e3, e3) = all_52_0 & op(e3, e2) = all_52_4 & op(e3,
% 165.03/24.48  |            e1) = all_52_8 & op(e3, e0) = all_52_12 & op(e2, e3) = all_52_1 &
% 165.03/24.48  |          op(e2, e2) = all_52_5 & op(e2, e1) = all_52_9 & op(e2, e0) =
% 165.03/24.48  |          all_52_13 & op(e1, e3) = all_52_2 & op(e1, e2) = all_52_6 & op(e1,
% 165.03/24.48  |            e1) = all_52_10 & op(e1, e0) = all_52_14 & op(e0, e3) = all_52_3 &
% 165.03/24.48  |          op(e0, e2) = all_52_7 & op(e0, e1) = all_52_11 & op(e0, e0) =
% 165.03/24.48  |          all_52_15 & $i(all_52_0) & $i(all_52_1) & $i(all_52_2) & $i(all_52_3)
% 165.03/24.48  |          & $i(all_52_4) & $i(all_52_5) & $i(all_52_6) & $i(all_52_7) &
% 165.03/24.48  |          $i(all_52_8) & $i(all_52_9) & $i(all_52_10) & $i(all_52_11) &
% 165.03/24.48  |          $i(all_52_12) & $i(all_52_13) & $i(all_52_14) & $i(all_52_15)
% 165.03/24.48  | 
% 165.03/24.48  | ALPHA: (151) implies:
% 165.03/24.48  |   (152)   ~ (all_52_14 = all_52_15)
% 165.03/24.48  |   (153)   ~ (all_52_13 = all_52_15)
% 165.03/24.48  |   (154)   ~ (all_52_13 = all_52_14)
% 165.03/24.48  |   (155)   ~ (all_52_12 = all_52_15)
% 165.03/24.48  |   (156)   ~ (all_52_12 = all_52_14)
% 165.03/24.48  |   (157)   ~ (all_52_12 = all_52_13)
% 165.03/24.48  |   (158)   ~ (all_52_11 = all_52_15)
% 165.03/24.48  |   (159)   ~ (all_52_10 = all_52_14)
% 165.03/24.48  |   (160)   ~ (all_52_10 = all_52_11)
% 165.03/24.48  |   (161)   ~ (all_52_9 = all_52_13)
% 165.03/24.48  |   (162)   ~ (all_52_9 = all_52_11)
% 165.03/24.48  |   (163)   ~ (all_52_9 = all_52_10)
% 165.03/24.48  |   (164)   ~ (all_52_8 = all_52_12)
% 165.03/24.48  |   (165)   ~ (all_52_8 = all_52_11)
% 165.03/24.48  |   (166)   ~ (all_52_8 = all_52_10)
% 165.03/24.48  |   (167)   ~ (all_52_8 = all_52_9)
% 165.03/24.48  |   (168)   ~ (all_52_7 = all_52_15)
% 165.03/24.48  |   (169)   ~ (all_52_7 = all_52_11)
% 165.03/24.48  |   (170)   ~ (all_52_6 = all_52_14)
% 165.03/24.48  |   (171)   ~ (all_52_6 = all_52_10)
% 165.03/24.48  |   (172)   ~ (all_52_6 = all_52_7)
% 165.03/24.48  |   (173)   ~ (all_52_5 = all_52_13)
% 165.03/24.48  |   (174)   ~ (all_52_5 = all_52_9)
% 165.03/24.48  |   (175)   ~ (all_52_5 = all_52_7)
% 165.03/24.48  |   (176)   ~ (all_52_5 = all_52_6)
% 165.03/24.48  |   (177)   ~ (all_52_4 = all_52_12)
% 165.03/24.48  |   (178)   ~ (all_52_4 = all_52_8)
% 165.03/24.48  |   (179)   ~ (all_52_4 = all_52_7)
% 165.03/24.48  |   (180)   ~ (all_52_4 = all_52_6)
% 165.03/24.48  |   (181)   ~ (all_52_4 = all_52_5)
% 165.03/24.48  |   (182)   ~ (all_52_3 = all_52_15)
% 165.03/24.48  |   (183)   ~ (all_52_3 = all_52_11)
% 165.03/24.48  |   (184)   ~ (all_52_3 = all_52_7)
% 165.03/24.48  |   (185)   ~ (all_52_2 = all_52_14)
% 165.03/24.48  |   (186)   ~ (all_52_2 = all_52_10)
% 165.03/24.48  |   (187)   ~ (all_52_2 = all_52_6)
% 165.03/24.48  |   (188)   ~ (all_52_2 = all_52_3)
% 165.03/24.48  |   (189)   ~ (all_52_1 = all_52_13)
% 165.03/24.48  |   (190)   ~ (all_52_1 = all_52_9)
% 165.03/24.48  |   (191)   ~ (all_52_1 = all_52_5)
% 165.03/24.48  |   (192)   ~ (all_52_1 = all_52_3)
% 165.03/24.48  |   (193)   ~ (all_52_1 = all_52_2)
% 165.03/24.48  |   (194)   ~ (all_52_0 = all_52_12)
% 165.03/24.48  |   (195)   ~ (all_52_0 = all_52_8)
% 165.03/24.48  |   (196)   ~ (all_52_0 = all_52_4)
% 165.03/24.48  |   (197)   ~ (all_52_0 = all_52_3)
% 165.03/24.48  |   (198)   ~ (all_52_0 = all_52_2)
% 165.03/24.48  |   (199)   ~ (all_52_0 = all_52_1)
% 165.03/24.48  |   (200)  op(e0, e0) = all_52_15
% 165.03/24.48  |   (201)  op(e0, e1) = all_52_11
% 165.03/24.48  |   (202)  op(e0, e2) = all_52_7
% 165.03/24.48  |   (203)  op(e0, e3) = all_52_3
% 165.03/24.48  |   (204)  op(e1, e0) = all_52_14
% 165.03/24.48  |   (205)  op(e1, e1) = all_52_10
% 165.03/24.48  |   (206)  op(e1, e2) = all_52_6
% 165.03/24.48  |   (207)  op(e1, e3) = all_52_2
% 165.03/24.48  |   (208)  op(e2, e0) = all_52_13
% 165.03/24.48  |   (209)  op(e2, e1) = all_52_9
% 165.03/24.48  |   (210)  op(e2, e2) = all_52_5
% 165.03/24.48  |   (211)  op(e2, e3) = all_52_1
% 165.03/24.48  |   (212)  op(e3, e0) = all_52_12
% 165.03/24.48  |   (213)  op(e3, e1) = all_52_8
% 165.03/24.48  |   (214)  op(e3, e2) = all_52_4
% 165.03/24.48  |   (215)  op(e3, e3) = all_52_0
% 165.03/24.48  | 
% 165.03/24.48  | DELTA: instantiating (1) with fresh symbols all_54_0, all_54_1, all_54_2,
% 165.03/24.48  |        all_54_3, all_54_4, all_54_5, all_54_6, all_54_7, all_54_8, all_54_9,
% 165.03/24.48  |        all_54_10, all_54_11, all_54_12, all_54_13, all_54_14, all_54_15 gives:
% 165.03/24.49  |   (216)  op(e3, e3) = all_54_0 & op(e3, e2) = all_54_1 & op(e3, e1) = all_54_2
% 165.03/24.49  |          & op(e3, e0) = all_54_3 & op(e2, e3) = all_54_4 & op(e2, e2) =
% 165.03/24.49  |          all_54_5 & op(e2, e1) = all_54_6 & op(e2, e0) = all_54_7 & op(e1, e3)
% 165.03/24.49  |          = all_54_8 & op(e1, e2) = all_54_9 & op(e1, e1) = all_54_10 & op(e1,
% 165.03/24.49  |            e0) = all_54_11 & op(e0, e3) = all_54_12 & op(e0, e2) = all_54_13 &
% 165.03/24.49  |          op(e0, e1) = all_54_14 & op(e0, e0) = all_54_15 & $i(all_54_0) &
% 165.03/24.49  |          $i(all_54_1) & $i(all_54_2) & $i(all_54_3) & $i(all_54_4) &
% 165.03/24.49  |          $i(all_54_5) & $i(all_54_6) & $i(all_54_7) & $i(all_54_8) &
% 165.03/24.49  |          $i(all_54_9) & $i(all_54_10) & $i(all_54_11) & $i(all_54_12) &
% 165.03/24.49  |          $i(all_54_13) & $i(all_54_14) & $i(all_54_15) & (all_54_0 = e3 |
% 165.03/24.49  |            all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0) & (all_54_1 = e3 |
% 165.03/24.49  |            all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0) & (all_54_2 = e3 |
% 165.03/24.49  |            all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0) & (all_54_3 = e3 |
% 165.03/24.49  |            all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0) & (all_54_4 = e3 |
% 165.03/24.49  |            all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0) & (all_54_5 = e3 |
% 165.03/24.49  |            all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0) & (all_54_6 = e3 |
% 165.03/24.49  |            all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0) & (all_54_7 = e3 |
% 165.03/24.49  |            all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0) & (all_54_8 = e3 |
% 165.03/24.49  |            all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0) & (all_54_9 = e3 |
% 165.03/24.49  |            all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0) & (all_54_10 = e3 |
% 165.03/24.49  |            all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0) & (all_54_11 = e3
% 165.03/24.49  |            | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0) & (all_54_12 =
% 165.03/24.49  |            e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0) & (all_54_13
% 165.03/24.49  |            = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0) &
% 165.03/24.49  |          (all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0) &
% 165.03/24.49  |          (all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0)
% 165.03/24.49  | 
% 165.03/24.49  | ALPHA: (216) implies:
% 165.03/24.49  |   (217)  op(e0, e0) = all_54_15
% 165.03/24.49  |   (218)  op(e0, e1) = all_54_14
% 165.03/24.49  |   (219)  op(e0, e2) = all_54_13
% 165.03/24.49  |   (220)  op(e0, e3) = all_54_12
% 165.03/24.49  |   (221)  op(e1, e0) = all_54_11
% 165.03/24.49  |   (222)  op(e1, e1) = all_54_10
% 165.03/24.49  |   (223)  op(e1, e2) = all_54_9
% 165.03/24.49  |   (224)  op(e1, e3) = all_54_8
% 165.03/24.49  |   (225)  op(e2, e0) = all_54_7
% 165.03/24.49  |   (226)  op(e2, e1) = all_54_6
% 165.03/24.49  |   (227)  op(e2, e2) = all_54_5
% 165.03/24.49  |   (228)  op(e2, e3) = all_54_4
% 165.03/24.49  |   (229)  op(e3, e0) = all_54_3
% 165.03/24.49  |   (230)  op(e3, e1) = all_54_2
% 165.03/24.49  |   (231)  op(e3, e2) = all_54_1
% 165.03/24.49  |   (232)  op(e3, e3) = all_54_0
% 165.03/24.49  |   (233)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 165.03/24.49  |   (234)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 165.03/24.49  |   (235)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 165.03/24.49  |   (236)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 165.03/24.49  |   (237)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 165.03/24.49  |   (238)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 165.03/24.49  |   (239)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 165.03/24.49  |   (240)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 165.03/24.49  |   (241)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 165.03/24.49  |   (242)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 165.03/24.49  |   (243)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 165.03/24.49  |   (244)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 165.03/24.49  |   (245)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 165.03/24.49  |   (246)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 165.03/24.49  |   (247)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 165.03/24.49  |   (248)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 165.03/24.49  | 
% 165.03/24.49  | DELTA: instantiating (2) with fresh symbols all_56_0, all_56_1, all_56_2,
% 165.03/24.49  |        all_56_3, all_56_4, all_56_5, all_56_6, all_56_7, all_56_8, all_56_9,
% 165.03/24.49  |        all_56_10, all_56_11, all_56_12, all_56_13, all_56_14, all_56_15 gives:
% 165.18/24.49  |   (249)  op(e3, e3) = all_56_0 & op(e3, e2) = all_56_1 & op(e3, e1) = all_56_4
% 165.18/24.49  |          & op(e3, e0) = all_56_9 & op(e2, e3) = all_56_2 & op(e2, e2) =
% 165.18/24.50  |          all_56_3 & op(e2, e1) = all_56_5 & op(e2, e0) = all_56_10 & op(e1,
% 165.18/24.50  |            e3) = all_56_6 & op(e1, e2) = all_56_7 & op(e1, e1) = all_56_8 &
% 165.18/24.50  |          op(e1, e0) = all_56_11 & op(e0, e3) = all_56_12 & op(e0, e2) =
% 165.18/24.50  |          all_56_13 & op(e0, e1) = all_56_14 & op(e0, e0) = all_56_15 &
% 165.18/24.50  |          $i(all_56_0) & $i(all_56_1) & $i(all_56_2) & $i(all_56_3) &
% 165.18/24.50  |          $i(all_56_4) & $i(all_56_5) & $i(all_56_6) & $i(all_56_7) &
% 165.18/24.50  |          $i(all_56_8) & $i(all_56_9) & $i(all_56_10) & $i(all_56_11) &
% 165.18/24.50  |          $i(all_56_12) & $i(all_56_13) & $i(all_56_14) & $i(all_56_15) &
% 165.18/24.50  |          (all_56_0 = e3 | all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3) &
% 165.18/24.50  |          (all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3) &
% 165.18/24.50  |          (all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2) &
% 165.18/24.50  |          (all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2) &
% 165.18/24.50  |          (all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1) &
% 165.18/24.50  |          (all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1) &
% 165.18/24.50  |          (all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0) &
% 165.18/24.50  |          (all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0) &
% 165.18/24.50  |          (all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3) &
% 165.18/24.50  |          (all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2) &
% 165.18/24.50  |          (all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1) &
% 165.18/24.50  |          (all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0) &
% 165.18/24.50  |          (all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3) &
% 165.18/24.50  |          (all_56_2 = e2 | all_56_3 = e2 | all_56_5 = e2 | all_56_10 = e2) &
% 165.18/24.50  |          (all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1) &
% 165.18/24.50  |          (all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0) &
% 165.18/24.50  |          (all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3) &
% 165.18/24.50  |          (all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2) &
% 165.18/24.50  |          (all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1) &
% 165.18/24.50  |          (all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0) &
% 165.18/24.50  |          (all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3) &
% 165.18/24.50  |          (all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2) &
% 165.18/24.50  |          (all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1) &
% 165.18/24.50  |          (all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0) &
% 165.18/24.50  |          (all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3) &
% 165.18/24.50  |          (all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2) &
% 165.18/24.50  |          (all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1) &
% 165.18/24.50  |          (all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3) &
% 165.18/24.50  |          (all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2) &
% 165.18/24.50  |          (all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1) &
% 165.18/24.50  |          (all_56_15 = e0 | ((all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 165.18/24.50  |              & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0)))
% 165.18/24.50  | 
% 165.18/24.50  | ALPHA: (249) implies:
% 165.18/24.50  |   (250)  op(e0, e0) = all_56_15
% 165.18/24.50  |   (251)  op(e0, e1) = all_56_14
% 165.18/24.50  |   (252)  op(e0, e2) = all_56_13
% 165.18/24.50  |   (253)  op(e0, e3) = all_56_12
% 165.18/24.50  |   (254)  op(e1, e0) = all_56_11
% 165.18/24.50  |   (255)  op(e1, e1) = all_56_8
% 165.18/24.50  |   (256)  op(e1, e2) = all_56_7
% 165.18/24.50  |   (257)  op(e1, e3) = all_56_6
% 165.18/24.50  |   (258)  op(e2, e0) = all_56_10
% 165.18/24.50  |   (259)  op(e2, e1) = all_56_5
% 165.18/24.50  |   (260)  op(e2, e2) = all_56_3
% 165.18/24.50  |   (261)  op(e2, e3) = all_56_2
% 165.18/24.50  |   (262)  op(e3, e0) = all_56_9
% 165.18/24.50  |   (263)  op(e3, e1) = all_56_4
% 165.18/24.50  |   (264)  op(e3, e2) = all_56_1
% 165.18/24.50  |   (265)  op(e3, e3) = all_56_0
% 165.18/24.50  |   (266)  all_56_15 = e0 | ((all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 165.18/24.50  |            (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0))
% 165.18/24.50  |   (267)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 165.18/24.50  |   (268)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 165.18/24.50  |   (269)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 165.18/24.50  |   (270)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 165.18/24.50  |   (271)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 165.18/24.50  |   (272)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 165.18/24.50  |   (273)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 165.18/24.50  |   (274)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 165.18/24.50  |   (275)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 165.18/24.50  |   (276)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 165.18/24.50  |   (277)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 165.18/24.50  |   (278)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 165.18/24.50  |   (279)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 165.18/24.50  |   (280)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 165.18/24.50  |   (281)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 165.18/24.50  |   (282)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 165.18/24.50  |   (283)  all_56_2 = e2 | all_56_3 = e2 | all_56_5 = e2 | all_56_10 = e2
% 165.18/24.50  |   (284)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 165.18/24.50  |   (285)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 165.18/24.50  |   (286)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 165.18/24.50  |   (287)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 165.18/24.50  |   (288)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 165.18/24.50  |   (289)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 165.18/24.50  |   (290)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 165.18/24.50  |   (291)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 165.18/24.50  |   (292)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 165.18/24.50  |   (293)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 165.18/24.50  |   (294)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 165.18/24.50  |   (295)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 165.18/24.50  |   (296)  all_56_0 = e3 | all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3
% 165.18/24.50  | 
% 165.18/24.50  | DELTA: instantiating (10) with fresh symbols all_58_0, all_58_1, all_58_2,
% 165.18/24.50  |        all_58_3, all_58_4, all_58_5, all_58_6, all_58_7, all_58_8, all_58_9,
% 165.18/24.50  |        all_58_10, all_58_11, all_58_12, all_58_13, all_58_14, all_58_15,
% 165.18/24.50  |        all_58_16, all_58_17, all_58_18, all_58_19, all_58_20, all_58_21,
% 165.18/24.50  |        all_58_22, all_58_23, all_58_24, all_58_25, all_58_26, all_58_27,
% 165.18/24.50  |        all_58_28, all_58_29, all_58_30, all_58_31 gives:
% 165.18/24.51  |   (297)  op(e3, all_58_16) = all_58_0 & op(e3, all_58_20) = all_58_1 & op(e3,
% 165.18/24.51  |            all_58_24) = all_58_2 & op(e3, all_58_28) = all_58_3 & op(e3, e3) =
% 165.18/24.51  |          all_58_16 & op(e3, e2) = all_58_20 & op(e3, e1) = all_58_24 & op(e3,
% 165.18/24.51  |            e0) = all_58_28 & op(e2, all_58_17) = all_58_4 & op(e2, all_58_21)
% 165.18/24.51  |          = all_58_5 & op(e2, all_58_25) = all_58_6 & op(e2, all_58_29) =
% 165.18/24.51  |          all_58_7 & op(e2, e3) = all_58_17 & op(e2, e2) = all_58_21 & op(e2,
% 165.18/24.51  |            e1) = all_58_25 & op(e2, e0) = all_58_29 & op(e1, all_58_18) =
% 165.18/24.51  |          all_58_8 & op(e1, all_58_22) = all_58_9 & op(e1, all_58_26) =
% 165.18/24.51  |          all_58_10 & op(e1, all_58_30) = all_58_11 & op(e1, e3) = all_58_18 &
% 165.18/24.51  |          op(e1, e2) = all_58_22 & op(e1, e1) = all_58_26 & op(e1, e0) =
% 165.18/24.51  |          all_58_30 & op(e0, all_58_19) = all_58_12 & op(e0, all_58_23) =
% 165.18/24.51  |          all_58_13 & op(e0, all_58_27) = all_58_14 & op(e0, all_58_31) =
% 165.18/24.51  |          all_58_15 & op(e0, e3) = all_58_19 & op(e0, e2) = all_58_23 & op(e0,
% 165.18/24.51  |            e1) = all_58_27 & op(e0, e0) = all_58_31 & $i(all_58_0) &
% 165.18/24.51  |          $i(all_58_1) & $i(all_58_2) & $i(all_58_3) & $i(all_58_4) &
% 165.18/24.51  |          $i(all_58_5) & $i(all_58_6) & $i(all_58_7) & $i(all_58_8) &
% 165.18/24.51  |          $i(all_58_9) & $i(all_58_10) & $i(all_58_11) & $i(all_58_12) &
% 165.18/24.51  |          $i(all_58_13) & $i(all_58_14) & $i(all_58_15) & $i(all_58_16) &
% 165.18/24.51  |          $i(all_58_17) & $i(all_58_18) & $i(all_58_19) & $i(all_58_20) &
% 165.18/24.51  |          $i(all_58_21) & $i(all_58_22) & $i(all_58_23) & $i(all_58_24) &
% 165.18/24.51  |          $i(all_58_25) & $i(all_58_26) & $i(all_58_27) & $i(all_58_28) &
% 165.18/24.51  |          $i(all_58_29) & $i(all_58_30) & $i(all_58_31) & (all_58_16 = e3 |
% 165.18/24.51  |            all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0) & (all_58_16 = e3
% 165.18/24.51  |            | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 | (all_58_17 =
% 165.18/24.51  |              e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 165.18/24.51  |            (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0)
% 165.18/24.51  |            | (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 =
% 165.18/24.51  |              e2) | (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 165.18/24.51  |              all_58_29 = e2) | (all_58_17 = e2 & all_58_18 = e3 & all_58_20 =
% 165.18/24.51  |              e2 & all_58_24 = e3) | (all_58_17 = e2 & all_58_19 = e3 &
% 165.18/24.51  |              all_58_20 = e2 & all_58_28 = e3) | (all_58_17 = e2 & all_58_20 =
% 165.18/24.51  |              e2 & all_58_22 = e1 & all_58_25 = e1) | (all_58_17 = e2 &
% 165.18/24.51  |              all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) | (all_58_17 =
% 165.18/24.51  |              e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 = e0
% 165.18/24.51  |              & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 165.18/24.51  |              = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 165.18/24.51  |              all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 =
% 165.18/24.51  |              e1 & all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 165.18/24.51  |            (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2)
% 165.18/24.51  |            | (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 & all_58_30 =
% 165.18/24.51  |              e0) | (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 =
% 165.18/24.51  |              e3 & all_58_23 = e0 & all_58_28 = e3 & all_58_29 = e0) |
% 165.18/24.51  |            (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 & all_58_30 = e0)
% 165.18/24.51  |            | (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29 =
% 165.18/24.51  |              e2) | (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 165.18/24.51  |              all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 165.18/24.51  |            (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 & all_58_29 = e0)
% 165.18/24.51  |            | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 & all_58_30 =
% 165.18/24.51  |              e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 165.18/24.51  |              all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 =
% 165.18/24.51  |              e0 & all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 =
% 165.18/24.51  |              e1) | (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 165.18/24.51  |              all_58_30 = e0) | (all_58_23 = e0 & all_58_27 = e1 & all_58_29 =
% 165.18/24.51  |              e0 & all_58_30 = e1) | (all_58_23 = e0 & all_58_29 = e0 & e2 =
% 165.18/24.51  |              e0) | (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)) & (all_58_20 =
% 165.18/24.51  |            e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0) & (all_58_24
% 165.18/24.51  |            = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0) &
% 165.18/24.51  |          (all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0) &
% 165.18/24.51  |          (( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 165.18/24.51  |              (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 165.18/24.51  |              (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 165.18/24.51  |              (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | (
% 165.18/24.51  |              ~ (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) & 
% 165.18/24.51  |              ~ (all_58_15 = e0)))
% 165.18/24.51  | 
% 165.18/24.51  | ALPHA: (297) implies:
% 165.18/24.51  |   (298)  op(e0, e0) = all_58_31
% 165.18/24.51  |   (299)  op(e0, e1) = all_58_27
% 165.18/24.51  |   (300)  op(e0, e2) = all_58_23
% 165.18/24.51  |   (301)  op(e0, e3) = all_58_19
% 165.18/24.51  |   (302)  op(e0, all_58_31) = all_58_15
% 165.18/24.51  |   (303)  op(e0, all_58_27) = all_58_14
% 165.18/24.51  |   (304)  op(e0, all_58_23) = all_58_13
% 165.18/24.51  |   (305)  op(e0, all_58_19) = all_58_12
% 165.18/24.51  |   (306)  op(e1, e0) = all_58_30
% 165.18/24.51  |   (307)  op(e1, e1) = all_58_26
% 165.18/24.51  |   (308)  op(e1, e2) = all_58_22
% 165.18/24.51  |   (309)  op(e1, e3) = all_58_18
% 165.18/24.51  |   (310)  op(e1, all_58_30) = all_58_11
% 165.18/24.51  |   (311)  op(e1, all_58_26) = all_58_10
% 165.18/24.51  |   (312)  op(e1, all_58_22) = all_58_9
% 165.18/24.51  |   (313)  op(e1, all_58_18) = all_58_8
% 165.18/24.51  |   (314)  op(e2, e0) = all_58_29
% 165.18/24.51  |   (315)  op(e2, e1) = all_58_25
% 165.18/24.51  |   (316)  op(e2, e2) = all_58_21
% 165.18/24.51  |   (317)  op(e2, e3) = all_58_17
% 165.18/24.51  |   (318)  op(e2, all_58_29) = all_58_7
% 165.18/24.51  |   (319)  op(e2, all_58_25) = all_58_6
% 165.18/24.51  |   (320)  op(e2, all_58_21) = all_58_5
% 165.18/24.51  |   (321)  op(e2, all_58_17) = all_58_4
% 165.18/24.51  |   (322)  op(e3, e0) = all_58_28
% 165.18/24.51  |   (323)  op(e3, e1) = all_58_24
% 165.18/24.51  |   (324)  op(e3, e2) = all_58_20
% 165.18/24.51  |   (325)  op(e3, e3) = all_58_16
% 165.18/24.51  |   (326)  op(e3, all_58_28) = all_58_3
% 165.18/24.51  |   (327)  op(e3, all_58_24) = all_58_2
% 165.18/24.51  |   (328)  op(e3, all_58_20) = all_58_1
% 165.18/24.51  |   (329)  op(e3, all_58_16) = all_58_0
% 165.18/24.51  |   (330)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 165.18/24.51  |            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 165.18/24.51  |            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 165.18/24.51  |            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 165.18/24.51  |            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 165.18/24.51  |            (all_58_15 = e0))
% 165.18/24.51  |   (331)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 165.18/24.51  |   (332)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 165.18/24.51  |   (333)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 165.18/24.52  |   (334)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 165.18/24.52  |          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 165.18/24.52  |          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 165.18/24.52  |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 165.18/24.52  |          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 165.18/24.52  |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 165.18/24.52  |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 165.18/24.52  |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 165.18/24.52  |          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 165.18/24.52  |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 165.18/24.52  |            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3
% 165.18/24.52  |            & all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 =
% 165.18/24.52  |            e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18
% 165.18/24.52  |            = e1 & all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 165.18/24.52  |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 165.18/24.52  |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 165.18/24.52  |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 &
% 165.18/24.52  |            all_58_23 = e0 & all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3
% 165.18/24.52  |            & all_58_27 = e0 & all_58_28 = e3 & all_58_30 = e0) | (all_58_19 =
% 165.18/24.52  |            e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29 = e2) | (all_58_19
% 165.18/24.52  |            = e0 & all_58_27 = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 165.18/24.52  |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2 &
% 165.18/24.52  |            all_58_23 = e0 & all_58_25 = e2 & all_58_29 = e0) | (all_58_22 = e2
% 165.18/24.52  |            & all_58_25 = e2 & all_58_27 = e1 & all_58_30 = e1) | (all_58_22 =
% 165.18/24.52  |            e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29 = e2) | (all_58_22
% 165.18/24.52  |            = e1 & all_58_25 = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 165.18/24.52  |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 = e2 &
% 165.18/24.52  |            all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) | (all_58_23 = e0
% 165.18/24.52  |            & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) | (all_58_23 =
% 165.18/24.52  |            e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 = e0 &
% 165.18/24.52  |            e1 = e0)
% 165.18/24.52  |   (335)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 165.18/24.52  | 
% 165.18/24.52  | GROUND_INST: instantiating (function-axioms) with all_28_2, all_48_2, e0, e0,
% 165.18/24.52  |              simplifying with (96), (142) gives:
% 165.18/24.52  |   (336)  all_48_2 = all_28_2
% 165.18/24.52  | 
% 165.18/24.52  | GROUND_INST: instantiating (function-axioms) with all_28_2, all_50_2, e0, e0,
% 165.18/24.52  |              simplifying with (96), (147) gives:
% 165.18/24.52  |   (337)  all_50_2 = all_28_2
% 165.18/24.52  | 
% 165.18/24.52  | GROUND_INST: instantiating (function-axioms) with all_48_2, all_52_15, e0, e0,
% 165.18/24.52  |              simplifying with (142), (200) gives:
% 165.18/24.52  |   (338)  all_52_15 = all_48_2
% 165.18/24.52  | 
% 165.18/24.52  | GROUND_INST: instantiating (function-axioms) with all_18_2, all_52_15, e0, e0,
% 165.18/24.52  |              simplifying with (71), (200) gives:
% 165.18/24.52  |   (339)  all_52_15 = all_18_2
% 165.18/24.52  | 
% 165.18/24.52  | GROUND_INST: instantiating (function-axioms) with all_48_2, all_54_15, e0, e0,
% 165.18/24.52  |              simplifying with (142), (217) gives:
% 165.18/24.52  |   (340)  all_54_15 = all_48_2
% 165.18/24.52  | 
% 165.18/24.52  | GROUND_INST: instantiating (function-axioms) with all_14_2, all_54_15, e0, e0,
% 165.18/24.52  |              simplifying with (61), (217) gives:
% 165.18/24.52  |   (341)  all_54_15 = all_14_2
% 165.18/24.52  | 
% 165.18/24.52  | GROUND_INST: instantiating (function-axioms) with all_50_2, all_56_15, e0, e0,
% 165.18/24.52  |              simplifying with (147), (250) gives:
% 165.18/24.52  |   (342)  all_56_15 = all_50_2
% 165.18/24.52  | 
% 165.18/24.52  | GROUND_INST: instantiating (function-axioms) with all_56_15, all_58_31, e0,
% 165.18/24.52  |              e0, simplifying with (250), (298) gives:
% 165.18/24.52  |   (343)  all_58_31 = all_56_15
% 165.18/24.52  | 
% 165.18/24.52  | GROUND_INST: instantiating (function-axioms) with all_16_2, all_58_31, e0, e0,
% 165.18/24.52  |              simplifying with (66), (298) gives:
% 165.18/24.52  |   (344)  all_58_31 = all_16_2
% 165.18/24.52  | 
% 165.18/24.52  | GROUND_INST: instantiating (function-axioms) with all_54_14, all_56_14, e1,
% 165.18/24.52  |              e0, simplifying with (218), (251) gives:
% 165.18/24.52  |   (345)  all_56_14 = all_54_14
% 165.18/24.52  | 
% 165.18/24.52  | GROUND_INST: instantiating (function-axioms) with all_56_14, all_58_27, e1,
% 165.18/24.52  |              e0, simplifying with (251), (299) gives:
% 165.18/24.52  |   (346)  all_58_27 = all_56_14
% 165.18/24.52  | 
% 165.18/24.52  | GROUND_INST: instantiating (function-axioms) with all_52_11, all_58_27, e1,
% 165.18/24.52  |              e0, simplifying with (201), (299) gives:
% 165.18/24.52  |   (347)  all_58_27 = all_52_11
% 165.18/24.52  | 
% 165.18/24.52  | GROUND_INST: instantiating (function-axioms) with all_52_7, all_56_13, e2, e0,
% 165.18/24.52  |              simplifying with (202), (252) gives:
% 165.18/24.52  |   (348)  all_56_13 = all_52_7
% 165.18/24.52  | 
% 165.18/24.52  | GROUND_INST: instantiating (function-axioms) with all_56_13, all_58_23, e2,
% 165.18/24.52  |              e0, simplifying with (252), (300) gives:
% 165.18/24.52  |   (349)  all_58_23 = all_56_13
% 165.18/24.52  | 
% 165.18/24.52  | GROUND_INST: instantiating (function-axioms) with all_54_13, all_58_23, e2,
% 165.18/24.52  |              e0, simplifying with (219), (300) gives:
% 165.18/24.52  |   (350)  all_58_23 = all_54_13
% 165.18/24.52  | 
% 165.18/24.52  | GROUND_INST: instantiating (function-axioms) with all_52_3, all_56_12, e3, e0,
% 165.18/24.52  |              simplifying with (203), (253) gives:
% 165.18/24.52  |   (351)  all_56_12 = all_52_3
% 165.18/24.52  | 
% 165.18/24.52  | GROUND_INST: instantiating (function-axioms) with all_56_12, all_58_19, e3,
% 165.18/24.52  |              e0, simplifying with (253), (301) gives:
% 165.18/24.52  |   (352)  all_58_19 = all_56_12
% 165.18/24.52  | 
% 165.18/24.52  | GROUND_INST: instantiating (function-axioms) with all_54_12, all_58_19, e3,
% 165.18/24.52  |              e0, simplifying with (220), (301) gives:
% 165.18/24.52  |   (353)  all_58_19 = all_54_12
% 165.18/24.52  | 
% 165.18/24.52  | GROUND_INST: instantiating (function-axioms) with all_54_11, all_56_11, e0,
% 165.18/24.52  |              e1, simplifying with (221), (254) gives:
% 165.18/24.52  |   (354)  all_56_11 = all_54_11
% 165.18/24.52  | 
% 165.18/24.52  | GROUND_INST: instantiating (function-axioms) with all_56_11, all_58_30, e0,
% 165.18/24.52  |              e1, simplifying with (254), (306) gives:
% 165.18/24.52  |   (355)  all_58_30 = all_56_11
% 165.18/24.52  | 
% 165.18/24.52  | GROUND_INST: instantiating (function-axioms) with all_52_14, all_58_30, e0,
% 165.18/24.52  |              e1, simplifying with (204), (306) gives:
% 165.18/24.52  |   (356)  all_58_30 = all_52_14
% 165.18/24.52  | 
% 165.18/24.52  | GROUND_INST: instantiating (function-axioms) with all_34_2, all_38_2, e1, e1,
% 165.18/24.52  |              simplifying with (109), (118) gives:
% 165.18/24.52  |   (357)  all_38_2 = all_34_2
% 165.18/24.52  | 
% 165.18/24.52  | GROUND_INST: instantiating (function-axioms) with all_10_2, all_38_2, e1, e1,
% 165.18/24.52  |              simplifying with (51), (118) gives:
% 165.18/24.52  |   (358)  all_38_2 = all_10_2
% 165.18/24.52  | 
% 165.18/24.52  | GROUND_INST: instantiating (function-axioms) with all_34_2, all_54_10, e1, e1,
% 165.18/24.52  |              simplifying with (109), (222) gives:
% 165.18/24.52  |   (359)  all_54_10 = all_34_2
% 165.18/24.52  | 
% 165.18/24.52  | GROUND_INST: instantiating (function-axioms) with all_20_2, all_54_10, e1, e1,
% 165.18/24.52  |              simplifying with (76), (222) gives:
% 165.18/24.52  |   (360)  all_54_10 = all_20_2
% 165.18/24.52  | 
% 165.18/24.52  | GROUND_INST: instantiating (function-axioms) with all_52_10, all_56_8, e1, e1,
% 165.18/24.52  |              simplifying with (205), (255) gives:
% 165.18/24.53  |   (361)  all_56_8 = all_52_10
% 165.18/24.53  | 
% 165.18/24.53  | GROUND_INST: instantiating (function-axioms) with all_34_2, all_56_8, e1, e1,
% 165.18/24.53  |              simplifying with (109), (255) gives:
% 165.18/24.53  |   (362)  all_56_8 = all_34_2
% 165.18/24.53  | 
% 165.18/24.53  | GROUND_INST: instantiating (function-axioms) with all_30_2, all_56_8, e1, e1,
% 165.18/24.53  |              simplifying with (101), (255) gives:
% 165.18/24.53  |   (363)  all_56_8 = all_30_2
% 165.18/24.53  | 
% 165.18/24.53  | GROUND_INST: instantiating (function-axioms) with all_34_2, all_58_26, e1, e1,
% 165.18/24.53  |              simplifying with (109), (307) gives:
% 165.18/24.53  |   (364)  all_58_26 = all_34_2
% 165.18/24.53  | 
% 165.18/24.53  | GROUND_INST: instantiating (function-axioms) with all_22_2, all_58_26, e1, e1,
% 165.18/24.53  |              simplifying with (81), (307) gives:
% 165.18/24.53  |   (365)  all_58_26 = all_22_2
% 165.18/24.53  | 
% 165.18/24.53  | GROUND_INST: instantiating (function-axioms) with all_54_9, all_56_7, e2, e1,
% 165.18/24.53  |              simplifying with (223), (256) gives:
% 165.18/24.53  |   (366)  all_56_7 = all_54_9
% 165.18/24.53  | 
% 165.18/24.53  | GROUND_INST: instantiating (function-axioms) with all_56_7, all_58_22, e2, e1,
% 165.18/24.53  |              simplifying with (256), (308) gives:
% 165.18/24.53  |   (367)  all_58_22 = all_56_7
% 165.18/24.53  | 
% 165.18/24.53  | GROUND_INST: instantiating (function-axioms) with all_52_6, all_58_22, e2, e1,
% 165.18/24.53  |              simplifying with (206), (308) gives:
% 165.18/24.53  |   (368)  all_58_22 = all_52_6
% 165.18/24.53  | 
% 165.18/24.53  | GROUND_INST: instantiating (function-axioms) with all_54_8, all_56_6, e3, e1,
% 165.18/24.53  |              simplifying with (224), (257) gives:
% 165.18/24.53  |   (369)  all_56_6 = all_54_8
% 165.18/24.53  | 
% 165.18/24.53  | GROUND_INST: instantiating (function-axioms) with all_56_6, all_58_18, e3, e1,
% 165.18/24.53  |              simplifying with (257), (309) gives:
% 165.18/24.53  |   (370)  all_58_18 = all_56_6
% 165.18/24.53  | 
% 165.18/24.53  | GROUND_INST: instantiating (function-axioms) with all_52_2, all_58_18, e3, e1,
% 165.18/24.53  |              simplifying with (207), (309) gives:
% 165.18/24.53  |   (371)  all_58_18 = all_52_2
% 165.18/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_54_7, all_56_10, e0, e2,
% 165.34/24.53  |              simplifying with (225), (258) gives:
% 165.34/24.53  |   (372)  all_56_10 = all_54_7
% 165.34/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_56_10, all_58_29, e0,
% 165.34/24.53  |              e2, simplifying with (258), (314) gives:
% 165.34/24.53  |   (373)  all_58_29 = all_56_10
% 165.34/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_52_13, all_58_29, e0,
% 165.34/24.53  |              e2, simplifying with (208), (314) gives:
% 165.34/24.53  |   (374)  all_58_29 = all_52_13
% 165.34/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_54_6, all_56_5, e1, e2,
% 165.34/24.53  |              simplifying with (226), (259) gives:
% 165.34/24.53  |   (375)  all_56_5 = all_54_6
% 165.34/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_56_5, all_58_25, e1, e2,
% 165.34/24.53  |              simplifying with (259), (315) gives:
% 165.34/24.53  |   (376)  all_58_25 = all_56_5
% 165.34/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_52_9, all_58_25, e1, e2,
% 165.34/24.53  |              simplifying with (209), (315) gives:
% 165.34/24.53  |   (377)  all_58_25 = all_52_9
% 165.34/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_24_2, all_52_5, e2, e2,
% 165.34/24.53  |              simplifying with (86), (210) gives:
% 165.34/24.53  |   (378)  all_52_5 = all_24_2
% 165.34/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_52_5, all_54_5, e2, e2,
% 165.34/24.53  |              simplifying with (210), (227) gives:
% 165.34/24.53  |   (379)  all_54_5 = all_52_5
% 165.34/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_36_2, all_54_5, e2, e2,
% 165.34/24.53  |              simplifying with (114), (227) gives:
% 165.34/24.53  |   (380)  all_54_5 = all_36_2
% 165.34/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_40_2, all_56_3, e2, e2,
% 165.34/24.53  |              simplifying with (123), (260) gives:
% 165.34/24.53  |   (381)  all_56_3 = all_40_2
% 165.34/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_56_3, all_58_21, e2, e2,
% 165.34/24.53  |              simplifying with (260), (316) gives:
% 165.34/24.53  |   (382)  all_58_21 = all_56_3
% 165.34/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_52_5, all_58_21, e2, e2,
% 165.34/24.53  |              simplifying with (210), (316) gives:
% 165.34/24.53  |   (383)  all_58_21 = all_52_5
% 165.34/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_44_2, all_58_21, e2, e2,
% 165.34/24.53  |              simplifying with (133), (316) gives:
% 165.34/24.53  |   (384)  all_58_21 = all_44_2
% 165.34/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_32_2, all_58_21, e2, e2,
% 165.34/24.53  |              simplifying with (105), (316) gives:
% 165.34/24.53  |   (385)  all_58_21 = all_32_2
% 165.34/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_4_2, all_58_21, e2, e2,
% 165.34/24.53  |              simplifying with (36), (316) gives:
% 165.34/24.53  |   (386)  all_58_21 = all_4_2
% 165.34/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_54_4, all_56_2, e3, e2,
% 165.34/24.53  |              simplifying with (228), (261) gives:
% 165.34/24.53  |   (387)  all_56_2 = all_54_4
% 165.34/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_56_2, all_58_17, e3, e2,
% 165.34/24.53  |              simplifying with (261), (317) gives:
% 165.34/24.53  |   (388)  all_58_17 = all_56_2
% 165.34/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_52_1, all_58_17, e3, e2,
% 165.34/24.53  |              simplifying with (211), (317) gives:
% 165.34/24.53  |   (389)  all_58_17 = all_52_1
% 165.34/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_52_12, all_56_9, e0, e3,
% 165.34/24.53  |              simplifying with (212), (262) gives:
% 165.34/24.53  |   (390)  all_56_9 = all_52_12
% 165.34/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_56_9, all_58_28, e0, e3,
% 165.34/24.53  |              simplifying with (262), (322) gives:
% 165.34/24.53  |   (391)  all_58_28 = all_56_9
% 165.34/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_54_3, all_58_28, e0, e3,
% 165.34/24.53  |              simplifying with (229), (322) gives:
% 165.34/24.53  |   (392)  all_58_28 = all_54_3
% 165.34/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_54_2, all_56_4, e1, e3,
% 165.34/24.53  |              simplifying with (230), (263) gives:
% 165.34/24.53  |   (393)  all_56_4 = all_54_2
% 165.34/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_56_4, all_58_24, e1, e3,
% 165.34/24.53  |              simplifying with (263), (323) gives:
% 165.34/24.53  |   (394)  all_58_24 = all_56_4
% 165.34/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_52_8, all_58_24, e1, e3,
% 165.34/24.53  |              simplifying with (213), (323) gives:
% 165.34/24.53  |   (395)  all_58_24 = all_52_8
% 165.34/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_52_4, all_56_1, e2, e3,
% 165.34/24.53  |              simplifying with (214), (264) gives:
% 165.34/24.53  |   (396)  all_56_1 = all_52_4
% 165.34/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_56_1, all_58_20, e2, e3,
% 165.34/24.53  |              simplifying with (264), (324) gives:
% 165.34/24.53  |   (397)  all_58_20 = all_56_1
% 165.34/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_54_1, all_58_20, e2, e3,
% 165.34/24.53  |              simplifying with (231), (324) gives:
% 165.34/24.53  |   (398)  all_58_20 = all_54_1
% 165.34/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_12_2, all_26_2, e3, e3,
% 165.34/24.53  |              simplifying with (56), (91) gives:
% 165.34/24.53  |   (399)  all_26_2 = all_12_2
% 165.34/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_12_2, all_42_2, e3, e3,
% 165.34/24.53  |              simplifying with (56), (128) gives:
% 165.34/24.53  |   (400)  all_42_2 = all_12_2
% 165.34/24.53  | 
% 165.34/24.53  | GROUND_INST: instantiating (function-axioms) with all_42_2, all_46_2, e3, e3,
% 165.34/24.53  |              simplifying with (128), (138) gives:
% 165.36/24.53  |   (401)  all_46_2 = all_42_2
% 165.36/24.53  | 
% 165.36/24.53  | GROUND_INST: instantiating (function-axioms) with all_26_2, all_52_0, e3, e3,
% 165.36/24.53  |              simplifying with (91), (215) gives:
% 165.36/24.53  |   (402)  all_52_0 = all_26_2
% 165.36/24.53  | 
% 165.36/24.53  | GROUND_INST: instantiating (function-axioms) with all_52_0, all_54_0, e3, e3,
% 165.36/24.53  |              simplifying with (215), (232) gives:
% 165.36/24.53  |   (403)  all_54_0 = all_52_0
% 165.36/24.53  | 
% 165.36/24.53  | GROUND_INST: instantiating (function-axioms) with all_54_0, all_56_0, e3, e3,
% 165.36/24.53  |              simplifying with (232), (265) gives:
% 165.36/24.53  |   (404)  all_56_0 = all_54_0
% 165.36/24.53  | 
% 165.36/24.53  | GROUND_INST: instantiating (function-axioms) with all_8_2, all_56_0, e3, e3,
% 165.36/24.53  |              simplifying with (46), (265) gives:
% 165.36/24.53  |   (405)  all_56_0 = all_8_2
% 165.36/24.53  | 
% 165.36/24.54  | GROUND_INST: instantiating (function-axioms) with all_46_2, all_58_16, e3, e3,
% 165.36/24.54  |              simplifying with (138), (325) gives:
% 165.36/24.54  |   (406)  all_58_16 = all_46_2
% 165.36/24.54  | 
% 165.36/24.54  | GROUND_INST: instantiating (function-axioms) with all_6_2, all_58_16, e3, e3,
% 165.36/24.54  |              simplifying with (41), (325) gives:
% 165.36/24.54  |   (407)  all_58_16 = all_6_2
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (406), (407) imply:
% 165.36/24.54  |   (408)  all_46_2 = all_6_2
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (408) implies:
% 165.36/24.54  |   (409)  all_46_2 = all_6_2
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (388), (389) imply:
% 165.36/24.54  |   (410)  all_56_2 = all_52_1
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (410) implies:
% 165.36/24.54  |   (411)  all_56_2 = all_52_1
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (370), (371) imply:
% 165.36/24.54  |   (412)  all_56_6 = all_52_2
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (412) implies:
% 165.36/24.54  |   (413)  all_56_6 = all_52_2
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (352), (353) imply:
% 165.36/24.54  |   (414)  all_56_12 = all_54_12
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (414) implies:
% 165.36/24.54  |   (415)  all_56_12 = all_54_12
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (397), (398) imply:
% 165.36/24.54  |   (416)  all_56_1 = all_54_1
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (416) implies:
% 165.36/24.54  |   (417)  all_56_1 = all_54_1
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (383), (384) imply:
% 165.36/24.54  |   (418)  all_52_5 = all_44_2
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (418) implies:
% 165.36/24.54  |   (419)  all_52_5 = all_44_2
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (384), (385) imply:
% 165.36/24.54  |   (420)  all_44_2 = all_32_2
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (384), (386) imply:
% 165.36/24.54  |   (421)  all_44_2 = all_4_2
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (382), (384) imply:
% 165.36/24.54  |   (422)  all_56_3 = all_44_2
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (422) implies:
% 165.36/24.54  |   (423)  all_56_3 = all_44_2
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (367), (368) imply:
% 165.36/24.54  |   (424)  all_56_7 = all_52_6
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (424) implies:
% 165.36/24.54  |   (425)  all_56_7 = all_52_6
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (349), (350) imply:
% 165.36/24.54  |   (426)  all_56_13 = all_54_13
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (426) implies:
% 165.36/24.54  |   (427)  all_56_13 = all_54_13
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (394), (395) imply:
% 165.36/24.54  |   (428)  all_56_4 = all_52_8
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (428) implies:
% 165.36/24.54  |   (429)  all_56_4 = all_52_8
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (376), (377) imply:
% 165.36/24.54  |   (430)  all_56_5 = all_52_9
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (430) implies:
% 165.36/24.54  |   (431)  all_56_5 = all_52_9
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (364), (365) imply:
% 165.36/24.54  |   (432)  all_34_2 = all_22_2
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (432) implies:
% 165.36/24.54  |   (433)  all_34_2 = all_22_2
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (346), (347) imply:
% 165.36/24.54  |   (434)  all_56_14 = all_52_11
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (434) implies:
% 165.36/24.54  |   (435)  all_56_14 = all_52_11
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (391), (392) imply:
% 165.36/24.54  |   (436)  all_56_9 = all_54_3
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (436) implies:
% 165.36/24.54  |   (437)  all_56_9 = all_54_3
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (373), (374) imply:
% 165.36/24.54  |   (438)  all_56_10 = all_52_13
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (438) implies:
% 165.36/24.54  |   (439)  all_56_10 = all_52_13
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (355), (356) imply:
% 165.36/24.54  |   (440)  all_56_11 = all_52_14
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (440) implies:
% 165.36/24.54  |   (441)  all_56_11 = all_52_14
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (343), (344) imply:
% 165.36/24.54  |   (442)  all_56_15 = all_16_2
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (442) implies:
% 165.36/24.54  |   (443)  all_56_15 = all_16_2
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (404), (405) imply:
% 165.36/24.54  |   (444)  all_54_0 = all_8_2
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (444) implies:
% 165.36/24.54  |   (445)  all_54_0 = all_8_2
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (396), (417) imply:
% 165.36/24.54  |   (446)  all_54_1 = all_52_4
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (387), (411) imply:
% 165.36/24.54  |   (447)  all_54_4 = all_52_1
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (447) implies:
% 165.36/24.54  |   (448)  all_54_4 = all_52_1
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (381), (423) imply:
% 165.36/24.54  |   (449)  all_44_2 = all_40_2
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (449) implies:
% 165.36/24.54  |   (450)  all_44_2 = all_40_2
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (393), (429) imply:
% 165.36/24.54  |   (451)  all_54_2 = all_52_8
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (375), (431) imply:
% 165.36/24.54  |   (452)  all_54_6 = all_52_9
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (452) implies:
% 165.36/24.54  |   (453)  all_54_6 = all_52_9
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (369), (413) imply:
% 165.36/24.54  |   (454)  all_54_8 = all_52_2
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (454) implies:
% 165.36/24.54  |   (455)  all_54_8 = all_52_2
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (366), (425) imply:
% 165.36/24.54  |   (456)  all_54_9 = all_52_6
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (361), (363) imply:
% 165.36/24.54  |   (457)  all_52_10 = all_30_2
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (361), (362) imply:
% 165.36/24.54  |   (458)  all_52_10 = all_34_2
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (390), (437) imply:
% 165.36/24.54  |   (459)  all_54_3 = all_52_12
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (459) implies:
% 165.36/24.54  |   (460)  all_54_3 = all_52_12
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (372), (439) imply:
% 165.36/24.54  |   (461)  all_54_7 = all_52_13
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (461) implies:
% 165.36/24.54  |   (462)  all_54_7 = all_52_13
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (354), (441) imply:
% 165.36/24.54  |   (463)  all_54_11 = all_52_14
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (351), (415) imply:
% 165.36/24.54  |   (464)  all_54_12 = all_52_3
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (464) implies:
% 165.36/24.54  |   (465)  all_54_12 = all_52_3
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (348), (427) imply:
% 165.36/24.54  |   (466)  all_54_13 = all_52_7
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (345), (435) imply:
% 165.36/24.54  |   (467)  all_54_14 = all_52_11
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (467) implies:
% 165.36/24.54  |   (468)  all_54_14 = all_52_11
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (342), (443) imply:
% 165.36/24.54  |   (469)  all_50_2 = all_16_2
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (469) implies:
% 165.36/24.54  |   (470)  all_50_2 = all_16_2
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (403), (445) imply:
% 165.36/24.54  |   (471)  all_52_0 = all_8_2
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (471) implies:
% 165.36/24.54  |   (472)  all_52_0 = all_8_2
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (379), (380) imply:
% 165.36/24.54  |   (473)  all_52_5 = all_36_2
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (473) implies:
% 165.36/24.54  |   (474)  all_52_5 = all_36_2
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (359), (360) imply:
% 165.36/24.54  |   (475)  all_34_2 = all_20_2
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (475) implies:
% 165.36/24.54  |   (476)  all_34_2 = all_20_2
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (340), (341) imply:
% 165.36/24.54  |   (477)  all_48_2 = all_14_2
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (477) implies:
% 165.36/24.54  |   (478)  all_48_2 = all_14_2
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (402), (472) imply:
% 165.36/24.54  |   (479)  all_26_2 = all_8_2
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (479) implies:
% 165.36/24.54  |   (480)  all_26_2 = all_8_2
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (419), (474) imply:
% 165.36/24.54  |   (481)  all_44_2 = all_36_2
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (481) implies:
% 165.36/24.54  |   (482)  all_44_2 = all_36_2
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (378), (474) imply:
% 165.36/24.54  |   (483)  all_36_2 = all_24_2
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (457), (458) imply:
% 165.36/24.54  |   (484)  all_34_2 = all_30_2
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (484) implies:
% 165.36/24.54  |   (485)  all_34_2 = all_30_2
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (338), (339) imply:
% 165.36/24.54  |   (486)  all_48_2 = all_18_2
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (486) implies:
% 165.36/24.54  |   (487)  all_48_2 = all_18_2
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (337), (470) imply:
% 165.36/24.54  |   (488)  all_28_2 = all_16_2
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (488) implies:
% 165.36/24.54  |   (489)  all_28_2 = all_16_2
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (478), (487) imply:
% 165.36/24.54  |   (490)  all_18_2 = all_14_2
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (336), (487) imply:
% 165.36/24.54  |   (491)  all_28_2 = all_18_2
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (491) implies:
% 165.36/24.54  |   (492)  all_28_2 = all_18_2
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (401), (409) imply:
% 165.36/24.54  |   (493)  all_42_2 = all_6_2
% 165.36/24.54  | 
% 165.36/24.54  | SIMP: (493) implies:
% 165.36/24.54  |   (494)  all_42_2 = all_6_2
% 165.36/24.54  | 
% 165.36/24.54  | COMBINE_EQS: (420), (450) imply:
% 165.36/24.54  |   (495)  all_40_2 = all_32_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (421), (450) imply:
% 165.36/24.55  |   (496)  all_40_2 = all_4_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (450), (482) imply:
% 165.36/24.55  |   (497)  all_40_2 = all_36_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (400), (494) imply:
% 165.36/24.55  |   (498)  all_12_2 = all_6_2
% 165.36/24.55  | 
% 165.36/24.55  | SIMP: (498) implies:
% 165.36/24.55  |   (499)  all_12_2 = all_6_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (495), (497) imply:
% 165.36/24.55  |   (500)  all_36_2 = all_32_2
% 165.36/24.55  | 
% 165.36/24.55  | SIMP: (500) implies:
% 165.36/24.55  |   (501)  all_36_2 = all_32_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (495), (496) imply:
% 165.36/24.55  |   (502)  all_32_2 = all_4_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (357), (358) imply:
% 165.36/24.55  |   (503)  all_34_2 = all_10_2
% 165.36/24.55  | 
% 165.36/24.55  | SIMP: (503) implies:
% 165.36/24.55  |   (504)  all_34_2 = all_10_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (483), (501) imply:
% 165.36/24.55  |   (505)  all_32_2 = all_24_2
% 165.36/24.55  | 
% 165.36/24.55  | SIMP: (505) implies:
% 165.36/24.55  |   (506)  all_32_2 = all_24_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (476), (485) imply:
% 165.36/24.55  |   (507)  all_30_2 = all_20_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (485), (504) imply:
% 165.36/24.55  |   (508)  all_30_2 = all_10_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (433), (485) imply:
% 165.36/24.55  |   (509)  all_30_2 = all_22_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (502), (506) imply:
% 165.36/24.55  |   (510)  all_24_2 = all_4_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (508), (509) imply:
% 165.36/24.55  |   (511)  all_22_2 = all_10_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (507), (509) imply:
% 165.36/24.55  |   (512)  all_22_2 = all_20_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (489), (492) imply:
% 165.36/24.55  |   (513)  all_18_2 = all_16_2
% 165.36/24.55  | 
% 165.36/24.55  | SIMP: (513) implies:
% 165.36/24.55  |   (514)  all_18_2 = all_16_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (399), (480) imply:
% 165.36/24.55  |   (515)  all_12_2 = all_8_2
% 165.36/24.55  | 
% 165.36/24.55  | SIMP: (515) implies:
% 165.36/24.55  |   (516)  all_12_2 = all_8_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (511), (512) imply:
% 165.36/24.55  |   (517)  all_20_2 = all_10_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (490), (514) imply:
% 165.36/24.55  |   (518)  all_16_2 = all_14_2
% 165.36/24.55  | 
% 165.36/24.55  | SIMP: (518) implies:
% 165.36/24.55  |   (519)  all_16_2 = all_14_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (499), (516) imply:
% 165.36/24.55  |   (520)  all_8_2 = all_6_2
% 165.36/24.55  | 
% 165.36/24.55  | SIMP: (520) implies:
% 165.36/24.55  |   (521)  all_8_2 = all_6_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (480), (521) imply:
% 165.36/24.55  |   (522)  all_26_2 = all_6_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (489), (519) imply:
% 165.36/24.55  |   (523)  all_28_2 = all_14_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (483), (510) imply:
% 165.36/24.55  |   (524)  all_36_2 = all_4_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (470), (519) imply:
% 165.36/24.55  |   (525)  all_50_2 = all_14_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (339), (490) imply:
% 165.36/24.55  |   (526)  all_52_15 = all_14_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (457), (508) imply:
% 165.36/24.55  |   (527)  all_52_10 = all_10_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (474), (524) imply:
% 165.36/24.55  |   (528)  all_52_5 = all_4_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (472), (521) imply:
% 165.36/24.55  |   (529)  all_52_0 = all_6_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (360), (517) imply:
% 165.36/24.55  |   (530)  all_54_10 = all_10_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (380), (524) imply:
% 165.36/24.55  |   (531)  all_54_5 = all_4_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (445), (521) imply:
% 165.36/24.55  |   (532)  all_54_0 = all_6_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (443), (519) imply:
% 165.36/24.55  |   (533)  all_56_15 = all_14_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (361), (527) imply:
% 165.36/24.55  |   (534)  all_56_8 = all_10_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (381), (496) imply:
% 165.36/24.55  |   (535)  all_56_3 = all_4_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (405), (521) imply:
% 165.36/24.55  |   (536)  all_56_0 = all_6_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (344), (519) imply:
% 165.36/24.55  |   (537)  all_58_31 = all_14_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (392), (460) imply:
% 165.36/24.55  |   (538)  all_58_28 = all_52_12
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (365), (511) imply:
% 165.36/24.55  |   (539)  all_58_26 = all_10_2
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (350), (466) imply:
% 165.36/24.55  |   (540)  all_58_23 = all_52_7
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (398), (446) imply:
% 165.36/24.55  |   (541)  all_58_20 = all_52_4
% 165.36/24.55  | 
% 165.36/24.55  | COMBINE_EQS: (353), (465) imply:
% 165.36/24.55  |   (542)  all_58_19 = all_52_3
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (199), (529) imply:
% 165.36/24.55  |   (543)   ~ (all_52_1 = all_6_2)
% 165.36/24.55  | 
% 165.36/24.55  | SIMP: (543) implies:
% 165.36/24.55  |   (544)   ~ (all_52_1 = all_6_2)
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (198), (529) imply:
% 165.36/24.55  |   (545)   ~ (all_52_2 = all_6_2)
% 165.36/24.55  | 
% 165.36/24.55  | SIMP: (545) implies:
% 165.36/24.55  |   (546)   ~ (all_52_2 = all_6_2)
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (197), (529) imply:
% 165.36/24.55  |   (547)   ~ (all_52_3 = all_6_2)
% 165.36/24.55  | 
% 165.36/24.55  | SIMP: (547) implies:
% 165.36/24.55  |   (548)   ~ (all_52_3 = all_6_2)
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (196), (529) imply:
% 165.36/24.55  |   (549)   ~ (all_52_4 = all_6_2)
% 165.36/24.55  | 
% 165.36/24.55  | SIMP: (549) implies:
% 165.36/24.55  |   (550)   ~ (all_52_4 = all_6_2)
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (195), (529) imply:
% 165.36/24.55  |   (551)   ~ (all_52_8 = all_6_2)
% 165.36/24.55  | 
% 165.36/24.55  | SIMP: (551) implies:
% 165.36/24.55  |   (552)   ~ (all_52_8 = all_6_2)
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (194), (529) imply:
% 165.36/24.55  |   (553)   ~ (all_52_12 = all_6_2)
% 165.36/24.55  | 
% 165.36/24.55  | SIMP: (553) implies:
% 165.36/24.55  |   (554)   ~ (all_52_12 = all_6_2)
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (191), (528) imply:
% 165.36/24.55  |   (555)   ~ (all_52_1 = all_4_2)
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (186), (527) imply:
% 165.36/24.55  |   (556)   ~ (all_52_2 = all_10_2)
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (182), (526) imply:
% 165.36/24.55  |   (557)   ~ (all_52_3 = all_14_2)
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (181), (528) imply:
% 165.36/24.55  |   (558)   ~ (all_52_4 = all_4_2)
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (176), (528) imply:
% 165.36/24.55  |   (559)   ~ (all_52_6 = all_4_2)
% 165.36/24.55  | 
% 165.36/24.55  | SIMP: (559) implies:
% 165.36/24.55  |   (560)   ~ (all_52_6 = all_4_2)
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (175), (528) imply:
% 165.36/24.55  |   (561)   ~ (all_52_7 = all_4_2)
% 165.36/24.55  | 
% 165.36/24.55  | SIMP: (561) implies:
% 165.36/24.55  |   (562)   ~ (all_52_7 = all_4_2)
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (174), (528) imply:
% 165.36/24.55  |   (563)   ~ (all_52_9 = all_4_2)
% 165.36/24.55  | 
% 165.36/24.55  | SIMP: (563) implies:
% 165.36/24.55  |   (564)   ~ (all_52_9 = all_4_2)
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (173), (528) imply:
% 165.36/24.55  |   (565)   ~ (all_52_13 = all_4_2)
% 165.36/24.55  | 
% 165.36/24.55  | SIMP: (565) implies:
% 165.36/24.55  |   (566)   ~ (all_52_13 = all_4_2)
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (171), (527) imply:
% 165.36/24.55  |   (567)   ~ (all_52_6 = all_10_2)
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (168), (526) imply:
% 165.36/24.55  |   (568)   ~ (all_52_7 = all_14_2)
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (166), (527) imply:
% 165.36/24.55  |   (569)   ~ (all_52_8 = all_10_2)
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (163), (527) imply:
% 165.36/24.55  |   (570)   ~ (all_52_9 = all_10_2)
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (160), (527) imply:
% 165.36/24.55  |   (571)   ~ (all_52_11 = all_10_2)
% 165.36/24.55  | 
% 165.36/24.55  | SIMP: (571) implies:
% 165.36/24.55  |   (572)   ~ (all_52_11 = all_10_2)
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (159), (527) imply:
% 165.36/24.55  |   (573)   ~ (all_52_14 = all_10_2)
% 165.36/24.55  | 
% 165.36/24.55  | SIMP: (573) implies:
% 165.36/24.55  |   (574)   ~ (all_52_14 = all_10_2)
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (158), (526) imply:
% 165.36/24.55  |   (575)   ~ (all_52_11 = all_14_2)
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (155), (526) imply:
% 165.36/24.55  |   (576)   ~ (all_52_12 = all_14_2)
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (153), (526) imply:
% 165.36/24.55  |   (577)   ~ (all_52_13 = all_14_2)
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (152), (526) imply:
% 165.36/24.55  |   (578)   ~ (all_52_14 = all_14_2)
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (149), (525) imply:
% 165.36/24.55  |   (579)  op(all_50_1, all_14_2) = all_50_0
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (148), (525) imply:
% 165.36/24.55  |   (580)  op(all_14_2, e0) = all_50_1
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (144), (478) imply:
% 165.36/24.55  |   (581)  op(all_48_1, all_14_2) = all_48_0
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (143), (478) imply:
% 165.36/24.55  |   (582)  op(all_14_2, e0) = all_48_1
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (140), (409) imply:
% 165.36/24.55  |   (583)  op(all_46_1, all_6_2) = all_46_0
% 165.36/24.55  | 
% 165.36/24.55  | REDUCE: (139), (409) imply:
% 165.36/24.56  |   (584)  op(all_6_2, e3) = all_46_1
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (135), (421) imply:
% 165.36/24.56  |   (585)  op(all_44_1, all_4_2) = all_44_0
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (134), (421) imply:
% 165.36/24.56  |   (586)  op(all_4_2, e2) = all_44_1
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (130), (494) imply:
% 165.36/24.56  |   (587)  op(all_42_1, all_6_2) = all_42_0
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (129), (494) imply:
% 165.36/24.56  |   (588)  op(all_6_2, e3) = all_42_1
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (125), (496) imply:
% 165.36/24.56  |   (589)  op(all_40_1, all_4_2) = all_40_0
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (124), (496) imply:
% 165.36/24.56  |   (590)  op(all_4_2, e2) = all_40_1
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (120), (358) imply:
% 165.36/24.56  |   (591)  op(all_38_1, all_10_2) = all_38_0
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (119), (358) imply:
% 165.36/24.56  |   (592)  op(all_10_2, e1) = all_38_1
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (116), (524) imply:
% 165.36/24.56  |   (593)  op(all_36_1, all_4_2) = all_36_0
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (115), (524) imply:
% 165.36/24.56  |   (594)  op(all_4_2, e2) = all_36_1
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (111), (504) imply:
% 165.36/24.56  |   (595)  op(all_34_1, all_10_2) = all_34_0
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (110), (504) imply:
% 165.36/24.56  |   (596)  op(all_10_2, e1) = all_34_1
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (107), (502) imply:
% 165.36/24.56  |   (597)  op(all_32_1, all_4_2) = all_32_0
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (106), (502) imply:
% 165.36/24.56  |   (598)  op(all_4_2, e2) = all_32_1
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (103), (508) imply:
% 165.36/24.56  |   (599)  op(all_30_1, all_10_2) = all_30_0
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (102), (508) imply:
% 165.36/24.56  |   (600)  op(all_10_2, e1) = all_30_1
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (98), (523) imply:
% 165.36/24.56  |   (601)  op(all_28_1, all_14_2) = all_28_0
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (97), (523) imply:
% 165.36/24.56  |   (602)  op(all_14_2, e0) = all_28_1
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (93), (522) imply:
% 165.36/24.56  |   (603)  op(all_26_1, all_6_2) = all_26_0
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (92), (522) imply:
% 165.36/24.56  |   (604)  op(all_6_2, e3) = all_26_1
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (88), (510) imply:
% 165.36/24.56  |   (605)  op(all_24_1, all_4_2) = all_24_0
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (87), (510) imply:
% 165.36/24.56  |   (606)  op(all_4_2, e2) = all_24_1
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (83), (511) imply:
% 165.36/24.56  |   (607)  op(all_22_1, all_10_2) = all_22_0
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (82), (511) imply:
% 165.36/24.56  |   (608)  op(all_10_2, e1) = all_22_1
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (78), (517) imply:
% 165.36/24.56  |   (609)  op(all_20_1, all_10_2) = all_20_0
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (77), (517) imply:
% 165.36/24.56  |   (610)  op(all_10_2, e1) = all_20_1
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (73), (490) imply:
% 165.36/24.56  |   (611)  op(all_18_1, all_14_2) = all_18_0
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (72), (490) imply:
% 165.36/24.56  |   (612)  op(all_14_2, e0) = all_18_1
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (68), (519) imply:
% 165.36/24.56  |   (613)  op(all_16_1, all_14_2) = all_16_0
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (67), (519) imply:
% 165.36/24.56  |   (614)  op(all_14_2, e0) = all_16_1
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (58), (499) imply:
% 165.36/24.56  |   (615)  op(all_12_1, all_6_2) = all_12_0
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (57), (499) imply:
% 165.36/24.56  |   (616)  op(all_6_2, e3) = all_12_1
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (48), (521) imply:
% 165.36/24.56  |   (617)  op(all_8_1, all_6_2) = all_8_0
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (47), (521) imply:
% 165.36/24.56  |   (618)  op(all_6_2, e3) = all_8_1
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (329), (407) imply:
% 165.36/24.56  |   (619)  op(e3, all_6_2) = all_58_0
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (328), (541) imply:
% 165.36/24.56  |   (620)  op(e3, all_52_4) = all_58_1
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (327), (395) imply:
% 165.36/24.56  |   (621)  op(e3, all_52_8) = all_58_2
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (326), (538) imply:
% 165.36/24.56  |   (622)  op(e3, all_52_12) = all_58_3
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (321), (389) imply:
% 165.36/24.56  |   (623)  op(e2, all_52_1) = all_58_4
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (320), (386) imply:
% 165.36/24.56  |   (624)  op(e2, all_4_2) = all_58_5
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (319), (377) imply:
% 165.36/24.56  |   (625)  op(e2, all_52_9) = all_58_6
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (318), (374) imply:
% 165.36/24.56  |   (626)  op(e2, all_52_13) = all_58_7
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (313), (371) imply:
% 165.36/24.56  |   (627)  op(e1, all_52_2) = all_58_8
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (312), (368) imply:
% 165.36/24.56  |   (628)  op(e1, all_52_6) = all_58_9
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (311), (539) imply:
% 165.36/24.56  |   (629)  op(e1, all_10_2) = all_58_10
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (310), (356) imply:
% 165.36/24.56  |   (630)  op(e1, all_52_14) = all_58_11
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (305), (542) imply:
% 165.36/24.56  |   (631)  op(e0, all_52_3) = all_58_12
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (304), (540) imply:
% 165.36/24.56  |   (632)  op(e0, all_52_7) = all_58_13
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (303), (347) imply:
% 165.36/24.56  |   (633)  op(e0, all_52_11) = all_58_14
% 165.36/24.56  | 
% 165.36/24.56  | REDUCE: (302), (537) imply:
% 165.36/24.56  |   (634)  op(e0, all_14_2) = all_58_15
% 165.36/24.56  | 
% 165.36/24.56  | GROUND_INST: instantiating (function-axioms) with all_24_1, all_36_1, e2,
% 165.36/24.56  |              all_4_2, simplifying with (594), (606) gives:
% 165.36/24.56  |   (635)  all_36_1 = all_24_1
% 165.36/24.56  | 
% 165.36/24.56  | GROUND_INST: instantiating (function-axioms) with all_36_1, all_40_1, e2,
% 165.36/24.56  |              all_4_2, simplifying with (590), (594) gives:
% 165.36/24.56  |   (636)  all_40_1 = all_36_1
% 165.36/24.56  | 
% 165.36/24.56  | GROUND_INST: instantiating (function-axioms) with all_32_1, all_40_1, e2,
% 165.36/24.56  |              all_4_2, simplifying with (590), (598) gives:
% 165.36/24.56  |   (637)  all_40_1 = all_32_1
% 165.36/24.56  | 
% 165.36/24.56  | GROUND_INST: instantiating (function-axioms) with all_4_1, all_44_1, e2,
% 165.36/24.56  |              all_4_2, simplifying with (37), (586) gives:
% 165.36/24.56  |   (638)  all_44_1 = all_4_1
% 165.36/24.56  | 
% 165.36/24.56  | GROUND_INST: instantiating (function-axioms) with all_36_1, all_44_1, e2,
% 165.36/24.56  |              all_4_2, simplifying with (586), (594) gives:
% 165.36/24.56  |   (639)  all_44_1 = all_36_1
% 165.36/24.56  | 
% 165.36/24.56  | GROUND_INST: instantiating (function-axioms) with all_6_1, all_12_1, e3,
% 165.36/24.56  |              all_6_2, simplifying with (42), (616) gives:
% 165.36/24.56  |   (640)  all_12_1 = all_6_1
% 165.36/24.56  | 
% 165.36/24.56  | GROUND_INST: instantiating (function-axioms) with all_8_1, all_42_1, e3,
% 165.36/24.56  |              all_6_2, simplifying with (588), (618) gives:
% 165.36/24.56  |   (641)  all_42_1 = all_8_1
% 165.36/24.56  | 
% 165.36/24.56  | GROUND_INST: instantiating (function-axioms) with all_42_1, all_46_1, e3,
% 165.36/24.56  |              all_6_2, simplifying with (584), (588) gives:
% 165.36/24.56  |   (642)  all_46_1 = all_42_1
% 165.36/24.56  | 
% 165.36/24.56  | GROUND_INST: instantiating (function-axioms) with all_26_1, all_46_1, e3,
% 165.36/24.56  |              all_6_2, simplifying with (584), (604) gives:
% 165.36/24.56  |   (643)  all_46_1 = all_26_1
% 165.36/24.56  | 
% 165.36/24.56  | GROUND_INST: instantiating (function-axioms) with all_12_1, all_46_1, e3,
% 165.36/24.56  |              all_6_2, simplifying with (584), (616) gives:
% 165.36/24.56  |   (644)  all_46_1 = all_12_1
% 165.36/24.56  | 
% 165.36/24.56  | GROUND_INST: instantiating (function-axioms) with all_20_1, all_22_1, e1,
% 165.36/24.56  |              all_10_2, simplifying with (608), (610) gives:
% 165.36/24.56  |   (645)  all_22_1 = all_20_1
% 165.36/24.56  | 
% 165.36/24.56  | GROUND_INST: instantiating (function-axioms) with all_10_1, all_34_1, e1,
% 165.36/24.56  |              all_10_2, simplifying with (52), (596) gives:
% 165.36/24.56  |   (646)  all_34_1 = all_10_1
% 165.36/24.56  | 
% 165.36/24.56  | GROUND_INST: instantiating (function-axioms) with all_22_1, all_34_1, e1,
% 165.36/24.56  |              all_10_2, simplifying with (596), (608) gives:
% 165.36/24.56  |   (647)  all_34_1 = all_22_1
% 165.36/24.56  | 
% 165.36/24.56  | GROUND_INST: instantiating (function-axioms) with all_34_1, all_38_1, e1,
% 165.36/24.56  |              all_10_2, simplifying with (592), (596) gives:
% 165.36/24.56  |   (648)  all_38_1 = all_34_1
% 165.36/24.56  | 
% 165.36/24.56  | GROUND_INST: instantiating (function-axioms) with all_30_1, all_38_1, e1,
% 165.36/24.56  |              all_10_2, simplifying with (592), (600) gives:
% 165.36/24.56  |   (649)  all_38_1 = all_30_1
% 165.36/24.56  | 
% 165.36/24.56  | GROUND_INST: instantiating (function-axioms) with all_14_1, all_18_1, e0,
% 165.36/24.56  |              all_14_2, simplifying with (62), (612) gives:
% 165.36/24.56  |   (650)  all_18_1 = all_14_1
% 165.36/24.56  | 
% 165.36/24.56  | GROUND_INST: instantiating (function-axioms) with all_18_1, all_28_1, e0,
% 165.36/24.56  |              all_14_2, simplifying with (602), (612) gives:
% 165.36/24.56  |   (651)  all_28_1 = all_18_1
% 165.36/24.56  | 
% 165.36/24.56  | GROUND_INST: instantiating (function-axioms) with all_28_1, all_48_1, e0,
% 165.36/24.56  |              all_14_2, simplifying with (582), (602) gives:
% 165.36/24.56  |   (652)  all_48_1 = all_28_1
% 165.36/24.56  | 
% 165.36/24.56  | GROUND_INST: instantiating (function-axioms) with all_48_1, all_50_1, e0,
% 165.36/24.56  |              all_14_2, simplifying with (580), (582) gives:
% 165.36/24.57  |   (653)  all_50_1 = all_48_1
% 165.36/24.57  | 
% 165.36/24.57  | GROUND_INST: instantiating (function-axioms) with all_16_1, all_50_1, e0,
% 165.36/24.57  |              all_14_2, simplifying with (580), (614) gives:
% 165.36/24.57  |   (654)  all_50_1 = all_16_1
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (653), (654) imply:
% 165.36/24.57  |   (655)  all_48_1 = all_16_1
% 165.36/24.57  | 
% 165.36/24.57  | SIMP: (655) implies:
% 165.36/24.57  |   (656)  all_48_1 = all_16_1
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (652), (656) imply:
% 165.36/24.57  |   (657)  all_28_1 = all_16_1
% 165.36/24.57  | 
% 165.36/24.57  | SIMP: (657) implies:
% 165.36/24.57  |   (658)  all_28_1 = all_16_1
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (642), (643) imply:
% 165.36/24.57  |   (659)  all_42_1 = all_26_1
% 165.36/24.57  | 
% 165.36/24.57  | SIMP: (659) implies:
% 165.36/24.57  |   (660)  all_42_1 = all_26_1
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (643), (644) imply:
% 165.36/24.57  |   (661)  all_26_1 = all_12_1
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (638), (639) imply:
% 165.36/24.57  |   (662)  all_36_1 = all_4_1
% 165.36/24.57  | 
% 165.36/24.57  | SIMP: (662) implies:
% 165.36/24.57  |   (663)  all_36_1 = all_4_1
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (641), (660) imply:
% 165.36/24.57  |   (664)  all_26_1 = all_8_1
% 165.36/24.57  | 
% 165.36/24.57  | SIMP: (664) implies:
% 165.36/24.57  |   (665)  all_26_1 = all_8_1
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (636), (637) imply:
% 165.36/24.57  |   (666)  all_36_1 = all_32_1
% 165.36/24.57  | 
% 165.36/24.57  | SIMP: (666) implies:
% 165.36/24.57  |   (667)  all_36_1 = all_32_1
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (648), (649) imply:
% 165.36/24.57  |   (668)  all_34_1 = all_30_1
% 165.36/24.57  | 
% 165.36/24.57  | SIMP: (668) implies:
% 165.36/24.57  |   (669)  all_34_1 = all_30_1
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (663), (667) imply:
% 165.36/24.57  |   (670)  all_32_1 = all_4_1
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (635), (667) imply:
% 165.36/24.57  |   (671)  all_32_1 = all_24_1
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (647), (669) imply:
% 165.36/24.57  |   (672)  all_30_1 = all_22_1
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (646), (669) imply:
% 165.36/24.57  |   (673)  all_30_1 = all_10_1
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (670), (671) imply:
% 165.36/24.57  |   (674)  all_24_1 = all_4_1
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (672), (673) imply:
% 165.36/24.57  |   (675)  all_22_1 = all_10_1
% 165.36/24.57  | 
% 165.36/24.57  | SIMP: (675) implies:
% 165.36/24.57  |   (676)  all_22_1 = all_10_1
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (651), (658) imply:
% 165.36/24.57  |   (677)  all_18_1 = all_16_1
% 165.36/24.57  | 
% 165.36/24.57  | SIMP: (677) implies:
% 165.36/24.57  |   (678)  all_18_1 = all_16_1
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (661), (665) imply:
% 165.36/24.57  |   (679)  all_12_1 = all_8_1
% 165.36/24.57  | 
% 165.36/24.57  | SIMP: (679) implies:
% 165.36/24.57  |   (680)  all_12_1 = all_8_1
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (645), (676) imply:
% 165.36/24.57  |   (681)  all_20_1 = all_10_1
% 165.36/24.57  | 
% 165.36/24.57  | SIMP: (681) implies:
% 165.36/24.57  |   (682)  all_20_1 = all_10_1
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (650), (678) imply:
% 165.36/24.57  |   (683)  all_16_1 = all_14_1
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (640), (680) imply:
% 165.36/24.57  |   (684)  all_8_1 = all_6_1
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (665), (684) imply:
% 165.36/24.57  |   (685)  all_26_1 = all_6_1
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (658), (683) imply:
% 165.36/24.57  |   (686)  all_28_1 = all_14_1
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (649), (673) imply:
% 165.36/24.57  |   (687)  all_38_1 = all_10_1
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (637), (670) imply:
% 165.36/24.57  |   (688)  all_40_1 = all_4_1
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (641), (684) imply:
% 165.36/24.57  |   (689)  all_42_1 = all_6_1
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (643), (685) imply:
% 165.36/24.57  |   (690)  all_46_1 = all_6_1
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (656), (683) imply:
% 165.36/24.57  |   (691)  all_48_1 = all_14_1
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (654), (683) imply:
% 165.36/24.57  |   (692)  all_50_1 = all_14_1
% 165.36/24.57  | 
% 165.36/24.57  | REDUCE: (579), (692) imply:
% 165.36/24.57  |   (693)  op(all_14_1, all_14_2) = all_50_0
% 165.36/24.57  | 
% 165.36/24.57  | REDUCE: (581), (691) imply:
% 165.36/24.57  |   (694)  op(all_14_1, all_14_2) = all_48_0
% 165.36/24.57  | 
% 165.36/24.57  | REDUCE: (583), (690) imply:
% 165.36/24.57  |   (695)  op(all_6_1, all_6_2) = all_46_0
% 165.36/24.57  | 
% 165.36/24.57  | REDUCE: (585), (638) imply:
% 165.36/24.57  |   (696)  op(all_4_1, all_4_2) = all_44_0
% 165.36/24.57  | 
% 165.36/24.57  | REDUCE: (587), (689) imply:
% 165.36/24.57  |   (697)  op(all_6_1, all_6_2) = all_42_0
% 165.36/24.57  | 
% 165.36/24.57  | REDUCE: (589), (688) imply:
% 165.36/24.57  |   (698)  op(all_4_1, all_4_2) = all_40_0
% 165.36/24.57  | 
% 165.36/24.57  | REDUCE: (591), (687) imply:
% 165.36/24.57  |   (699)  op(all_10_1, all_10_2) = all_38_0
% 165.36/24.57  | 
% 165.36/24.57  | REDUCE: (593), (663) imply:
% 165.36/24.57  |   (700)  op(all_4_1, all_4_2) = all_36_0
% 165.36/24.57  | 
% 165.36/24.57  | REDUCE: (595), (646) imply:
% 165.36/24.57  |   (701)  op(all_10_1, all_10_2) = all_34_0
% 165.36/24.57  | 
% 165.36/24.57  | REDUCE: (597), (670) imply:
% 165.36/24.57  |   (702)  op(all_4_1, all_4_2) = all_32_0
% 165.36/24.57  | 
% 165.36/24.57  | REDUCE: (599), (673) imply:
% 165.36/24.57  |   (703)  op(all_10_1, all_10_2) = all_30_0
% 165.36/24.57  | 
% 165.36/24.57  | REDUCE: (601), (686) imply:
% 165.36/24.57  |   (704)  op(all_14_1, all_14_2) = all_28_0
% 165.36/24.57  | 
% 165.36/24.57  | REDUCE: (603), (685) imply:
% 165.36/24.57  |   (705)  op(all_6_1, all_6_2) = all_26_0
% 165.36/24.57  | 
% 165.36/24.57  | REDUCE: (605), (674) imply:
% 165.36/24.57  |   (706)  op(all_4_1, all_4_2) = all_24_0
% 165.36/24.57  | 
% 165.36/24.57  | REDUCE: (607), (676) imply:
% 165.36/24.57  |   (707)  op(all_10_1, all_10_2) = all_22_0
% 165.36/24.57  | 
% 165.36/24.57  | REDUCE: (609), (682) imply:
% 165.36/24.57  |   (708)  op(all_10_1, all_10_2) = all_20_0
% 165.36/24.57  | 
% 165.36/24.57  | REDUCE: (611), (650) imply:
% 165.36/24.57  |   (709)  op(all_14_1, all_14_2) = all_18_0
% 165.36/24.57  | 
% 165.36/24.57  | REDUCE: (613), (683) imply:
% 165.36/24.57  |   (710)  op(all_14_1, all_14_2) = all_16_0
% 165.36/24.57  | 
% 165.36/24.57  | REDUCE: (615), (640) imply:
% 165.36/24.57  |   (711)  op(all_6_1, all_6_2) = all_12_0
% 165.36/24.57  | 
% 165.36/24.57  | REDUCE: (617), (684) imply:
% 165.36/24.57  |   (712)  op(all_6_1, all_6_2) = all_8_0
% 165.36/24.57  | 
% 165.36/24.57  | GROUND_INST: instantiating (function-axioms) with all_4_0, all_44_0, all_4_2,
% 165.36/24.57  |              all_4_1, simplifying with (38), (696) gives:
% 165.36/24.57  |   (713)  all_44_0 = all_4_0
% 165.36/24.57  | 
% 165.36/24.57  | GROUND_INST: instantiating (function-axioms) with all_40_0, all_44_0, all_4_2,
% 165.36/24.57  |              all_4_1, simplifying with (696), (698) gives:
% 165.36/24.57  |   (714)  all_44_0 = all_40_0
% 165.36/24.57  | 
% 165.36/24.57  | GROUND_INST: instantiating (function-axioms) with all_36_0, all_44_0, all_4_2,
% 165.36/24.57  |              all_4_1, simplifying with (696), (700) gives:
% 165.36/24.57  |   (715)  all_44_0 = all_36_0
% 165.36/24.57  | 
% 165.36/24.57  | GROUND_INST: instantiating (function-axioms) with all_32_0, all_44_0, all_4_2,
% 165.36/24.57  |              all_4_1, simplifying with (696), (702) gives:
% 165.36/24.57  |   (716)  all_44_0 = all_32_0
% 165.36/24.57  | 
% 165.36/24.57  | GROUND_INST: instantiating (function-axioms) with all_24_0, all_44_0, all_4_2,
% 165.36/24.57  |              all_4_1, simplifying with (696), (706) gives:
% 165.36/24.57  |   (717)  all_44_0 = all_24_0
% 165.36/24.57  | 
% 165.36/24.57  | GROUND_INST: instantiating (function-axioms) with all_8_0, all_12_0, all_6_2,
% 165.36/24.57  |              all_6_1, simplifying with (711), (712) gives:
% 165.36/24.57  |   (718)  all_12_0 = all_8_0
% 165.36/24.57  | 
% 165.36/24.57  | GROUND_INST: instantiating (function-axioms) with all_6_0, all_42_0, all_6_2,
% 165.36/24.57  |              all_6_1, simplifying with (43), (697) gives:
% 165.36/24.57  |   (719)  all_42_0 = all_6_0
% 165.36/24.57  | 
% 165.36/24.57  | GROUND_INST: instantiating (function-axioms) with all_42_0, all_46_0, all_6_2,
% 165.36/24.57  |              all_6_1, simplifying with (695), (697) gives:
% 165.36/24.57  |   (720)  all_46_0 = all_42_0
% 165.36/24.57  | 
% 165.36/24.57  | GROUND_INST: instantiating (function-axioms) with all_26_0, all_46_0, all_6_2,
% 165.36/24.57  |              all_6_1, simplifying with (695), (705) gives:
% 165.36/24.57  |   (721)  all_46_0 = all_26_0
% 165.36/24.57  | 
% 165.36/24.57  | GROUND_INST: instantiating (function-axioms) with all_12_0, all_46_0, all_6_2,
% 165.36/24.57  |              all_6_1, simplifying with (695), (711) gives:
% 165.36/24.57  |   (722)  all_46_0 = all_12_0
% 165.36/24.57  | 
% 165.36/24.57  | GROUND_INST: instantiating (function-axioms) with all_10_0, all_22_0,
% 165.36/24.57  |              all_10_2, all_10_1, simplifying with (53), (707) gives:
% 165.36/24.57  |   (723)  all_22_0 = all_10_0
% 165.36/24.57  | 
% 165.36/24.57  | GROUND_INST: instantiating (function-axioms) with all_22_0, all_30_0,
% 165.36/24.57  |              all_10_2, all_10_1, simplifying with (703), (707) gives:
% 165.36/24.57  |   (724)  all_30_0 = all_22_0
% 165.36/24.57  | 
% 165.36/24.57  | GROUND_INST: instantiating (function-axioms) with all_34_0, all_38_0,
% 165.36/24.57  |              all_10_2, all_10_1, simplifying with (699), (701) gives:
% 165.36/24.57  |   (725)  all_38_0 = all_34_0
% 165.36/24.57  | 
% 165.36/24.57  | GROUND_INST: instantiating (function-axioms) with all_30_0, all_38_0,
% 165.36/24.57  |              all_10_2, all_10_1, simplifying with (699), (703) gives:
% 165.36/24.57  |   (726)  all_38_0 = all_30_0
% 165.36/24.57  | 
% 165.36/24.57  | GROUND_INST: instantiating (function-axioms) with all_20_0, all_38_0,
% 165.36/24.57  |              all_10_2, all_10_1, simplifying with (699), (708) gives:
% 165.36/24.57  |   (727)  all_38_0 = all_20_0
% 165.36/24.57  | 
% 165.36/24.57  | GROUND_INST: instantiating (function-axioms) with all_18_0, all_28_0,
% 165.36/24.57  |              all_14_2, all_14_1, simplifying with (704), (709) gives:
% 165.36/24.57  |   (728)  all_28_0 = all_18_0
% 165.36/24.57  | 
% 165.36/24.57  | GROUND_INST: instantiating (function-axioms) with all_14_0, all_48_0,
% 165.36/24.57  |              all_14_2, all_14_1, simplifying with (63), (694) gives:
% 165.36/24.57  |   (729)  all_48_0 = all_14_0
% 165.36/24.57  | 
% 165.36/24.57  | GROUND_INST: instantiating (function-axioms) with all_18_0, all_48_0,
% 165.36/24.57  |              all_14_2, all_14_1, simplifying with (694), (709) gives:
% 165.36/24.57  |   (730)  all_48_0 = all_18_0
% 165.36/24.57  | 
% 165.36/24.57  | GROUND_INST: instantiating (function-axioms) with all_28_0, all_50_0,
% 165.36/24.57  |              all_14_2, all_14_1, simplifying with (693), (704) gives:
% 165.36/24.57  |   (731)  all_50_0 = all_28_0
% 165.36/24.57  | 
% 165.36/24.57  | GROUND_INST: instantiating (function-axioms) with all_16_0, all_50_0,
% 165.36/24.57  |              all_14_2, all_14_1, simplifying with (693), (710) gives:
% 165.36/24.57  |   (732)  all_50_0 = all_16_0
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (731), (732) imply:
% 165.36/24.57  |   (733)  all_28_0 = all_16_0
% 165.36/24.57  | 
% 165.36/24.57  | SIMP: (733) implies:
% 165.36/24.57  |   (734)  all_28_0 = all_16_0
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (729), (730) imply:
% 165.36/24.57  |   (735)  all_18_0 = all_14_0
% 165.36/24.57  | 
% 165.36/24.57  | SIMP: (735) implies:
% 165.36/24.57  |   (736)  all_18_0 = all_14_0
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (720), (721) imply:
% 165.36/24.57  |   (737)  all_42_0 = all_26_0
% 165.36/24.57  | 
% 165.36/24.57  | SIMP: (737) implies:
% 165.36/24.57  |   (738)  all_42_0 = all_26_0
% 165.36/24.57  | 
% 165.36/24.57  | COMBINE_EQS: (721), (722) imply:
% 165.36/24.57  |   (739)  all_26_0 = all_12_0
% 165.36/24.58  | 
% 165.36/24.58  | COMBINE_EQS: (713), (714) imply:
% 165.36/24.58  |   (740)  all_40_0 = all_4_0
% 165.36/24.58  | 
% 165.36/24.58  | COMBINE_EQS: (714), (715) imply:
% 165.36/24.58  |   (741)  all_40_0 = all_36_0
% 165.36/24.58  | 
% 165.36/24.58  | COMBINE_EQS: (714), (717) imply:
% 165.36/24.58  |   (742)  all_40_0 = all_24_0
% 165.36/24.58  | 
% 165.36/24.58  | COMBINE_EQS: (714), (716) imply:
% 165.36/24.58  |   (743)  all_40_0 = all_32_0
% 165.36/24.58  | 
% 165.36/24.58  | COMBINE_EQS: (719), (738) imply:
% 165.36/24.58  |   (744)  all_26_0 = all_6_0
% 165.36/24.58  | 
% 165.36/24.58  | SIMP: (744) implies:
% 165.36/24.58  |   (745)  all_26_0 = all_6_0
% 165.36/24.58  | 
% 165.36/24.58  | COMBINE_EQS: (740), (741) imply:
% 165.36/24.58  |   (746)  all_36_0 = all_4_0
% 165.36/24.58  | 
% 165.36/24.58  | COMBINE_EQS: (741), (742) imply:
% 165.36/24.58  |   (747)  all_36_0 = all_24_0
% 165.36/24.58  | 
% 165.36/24.58  | COMBINE_EQS: (741), (743) imply:
% 165.36/24.58  |   (748)  all_36_0 = all_32_0
% 165.36/24.58  | 
% 165.36/24.58  | COMBINE_EQS: (725), (726) imply:
% 165.36/24.58  |   (749)  all_34_0 = all_30_0
% 165.36/24.58  | 
% 165.36/24.58  | COMBINE_EQS: (725), (727) imply:
% 165.36/24.58  |   (750)  all_34_0 = all_20_0
% 165.36/24.58  | 
% 165.36/24.58  | COMBINE_EQS: (746), (748) imply:
% 165.36/24.58  |   (751)  all_32_0 = all_4_0
% 165.36/24.58  | 
% 165.36/24.58  | COMBINE_EQS: (747), (748) imply:
% 165.36/24.58  |   (752)  all_32_0 = all_24_0
% 165.36/24.58  | 
% 165.36/24.58  | COMBINE_EQS: (749), (750) imply:
% 165.36/24.58  |   (753)  all_30_0 = all_20_0
% 165.36/24.58  | 
% 165.36/24.58  | SIMP: (753) implies:
% 165.36/24.58  |   (754)  all_30_0 = all_20_0
% 165.36/24.58  | 
% 165.36/24.58  | COMBINE_EQS: (751), (752) imply:
% 165.36/24.58  |   (755)  all_24_0 = all_4_0
% 165.36/24.58  | 
% 165.36/24.58  | COMBINE_EQS: (724), (754) imply:
% 165.36/24.58  |   (756)  all_22_0 = all_20_0
% 165.36/24.58  | 
% 165.36/24.58  | SIMP: (756) implies:
% 165.36/24.58  |   (757)  all_22_0 = all_20_0
% 165.36/24.58  | 
% 165.36/24.58  | COMBINE_EQS: (728), (734) imply:
% 165.36/24.58  |   (758)  all_18_0 = all_16_0
% 165.36/24.58  | 
% 165.36/24.58  | SIMP: (758) implies:
% 165.36/24.58  |   (759)  all_18_0 = all_16_0
% 165.36/24.58  | 
% 165.36/24.58  | COMBINE_EQS: (739), (745) imply:
% 165.36/24.58  |   (760)  all_12_0 = all_6_0
% 165.36/24.58  | 
% 165.36/24.58  | SIMP: (760) implies:
% 165.36/24.58  |   (761)  all_12_0 = all_6_0
% 165.36/24.58  | 
% 165.36/24.58  | COMBINE_EQS: (723), (757) imply:
% 165.36/24.58  |   (762)  all_20_0 = all_10_0
% 165.36/24.58  | 
% 165.36/24.58  | COMBINE_EQS: (736), (759) imply:
% 165.36/24.58  |   (763)  all_16_0 = all_14_0
% 165.36/24.58  | 
% 165.36/24.58  | COMBINE_EQS: (718), (761) imply:
% 165.36/24.58  |   (764)  all_8_0 = all_6_0
% 165.36/24.58  | 
% 165.36/24.58  | SIMP: (764) implies:
% 165.36/24.58  |   (765)  all_8_0 = all_6_0
% 165.36/24.58  | 
% 165.36/24.58  | COMBINE_EQS: (734), (763) imply:
% 165.36/24.58  |   (766)  all_28_0 = all_14_0
% 165.36/24.58  | 
% 165.36/24.58  | COMBINE_EQS: (750), (762) imply:
% 165.36/24.58  |   (767)  all_34_0 = all_10_0
% 165.36/24.58  | 
% 165.36/24.58  | COMBINE_EQS: (725), (767) imply:
% 165.36/24.58  |   (768)  all_38_0 = all_10_0
% 165.36/24.58  | 
% 165.36/24.58  | COMBINE_EQS: (732), (763) imply:
% 165.36/24.58  |   (769)  all_50_0 = all_14_0
% 165.36/24.58  | 
% 165.36/24.58  | BETA: splitting (39) gives:
% 165.36/24.58  | 
% 165.36/24.58  | Case 1:
% 165.36/24.58  | | 
% 165.36/24.58  | |   (770)   ~ (all_4_1 = e0)
% 165.36/24.58  | | 
% 165.36/24.58  | | BETA: splitting (44) gives:
% 165.36/24.58  | | 
% 165.36/24.58  | | Case 1:
% 165.36/24.58  | | | 
% 165.36/24.58  | | |   (771)   ~ (all_6_0 = e0)
% 165.36/24.58  | | | 
% 165.36/24.58  | | | BETA: splitting (54) gives:
% 165.36/24.58  | | | 
% 165.36/24.58  | | | Case 1:
% 165.36/24.58  | | | | 
% 165.36/24.58  | | | |   (772)   ~ (all_10_2 = e0)
% 165.36/24.58  | | | | 
% 165.36/24.58  | | | | BETA: splitting (59) gives:
% 165.36/24.58  | | | | 
% 165.36/24.58  | | | | Case 1:
% 165.36/24.58  | | | | | 
% 165.36/24.58  | | | | |   (773)   ~ (all_12_1 = e0)
% 165.36/24.58  | | | | | 
% 165.36/24.58  | | | | | REDUCE: (640), (773) imply:
% 165.36/24.58  | | | | |   (774)   ~ (all_6_1 = e0)
% 165.36/24.58  | | | | | 
% 165.36/24.58  | | | | | BETA: splitting (64) gives:
% 165.36/24.58  | | | | | 
% 165.36/24.58  | | | | | Case 1:
% 165.36/24.58  | | | | | | 
% 165.36/24.58  | | | | | |   (775)   ~ (all_14_0 = e1)
% 165.36/24.58  | | | | | | 
% 165.36/24.58  | | | | | | BETA: splitting (74) gives:
% 165.36/24.58  | | | | | | 
% 165.36/24.58  | | | | | | Case 1:
% 165.36/24.58  | | | | | | | 
% 165.36/24.58  | | | | | | |   (776)   ~ (all_18_1 = e1)
% 165.36/24.58  | | | | | | | 
% 165.36/24.58  | | | | | | | REDUCE: (650), (776) imply:
% 165.36/24.58  | | | | | | |   (777)   ~ (all_14_1 = e1)
% 165.36/24.58  | | | | | | | 
% 165.36/24.58  | | | | | | | BETA: splitting (79) gives:
% 165.36/24.58  | | | | | | | 
% 165.36/24.58  | | | | | | | Case 1:
% 165.36/24.58  | | | | | | | | 
% 165.36/24.58  | | | | | | | |   (778)   ~ (all_20_1 = e0)
% 165.36/24.58  | | | | | | | | 
% 165.36/24.58  | | | | | | | | REDUCE: (682), (778) imply:
% 165.36/24.58  | | | | | | | |   (779)   ~ (all_10_1 = e0)
% 165.36/24.58  | | | | | | | | 
% 165.36/24.58  | | | | | | | | BETA: splitting (84) gives:
% 165.36/24.58  | | | | | | | | 
% 165.36/24.58  | | | | | | | | Case 1:
% 165.36/24.58  | | | | | | | | | 
% 165.36/24.58  | | | | | | | | |   (780)   ~ (all_22_0 = e0)
% 165.36/24.58  | | | | | | | | | 
% 165.36/24.58  | | | | | | | | | REDUCE: (723), (780) imply:
% 165.36/24.58  | | | | | | | | |   (781)   ~ (all_10_0 = e0)
% 165.36/24.58  | | | | | | | | | 
% 165.36/24.58  | | | | | | | | | BETA: splitting (89) gives:
% 165.36/24.58  | | | | | | | | | 
% 165.36/24.58  | | | | | | | | | Case 1:
% 165.36/24.58  | | | | | | | | | | 
% 165.36/24.58  | | | | | | | | | |   (782)   ~ (all_24_2 = e0)
% 165.36/24.58  | | | | | | | | | | 
% 165.36/24.58  | | | | | | | | | | REDUCE: (510), (782) imply:
% 165.36/24.58  | | | | | | | | | |   (783)   ~ (all_4_2 = e0)
% 165.36/24.58  | | | | | | | | | | 
% 165.36/24.58  | | | | | | | | | | BETA: splitting (131) gives:
% 165.36/24.58  | | | | | | | | | | 
% 165.36/24.58  | | | | | | | | | | Case 1:
% 165.36/24.58  | | | | | | | | | | | 
% 165.36/24.58  | | | | | | | | | | |   (784)   ~ (all_42_2 = e0)
% 165.36/24.58  | | | | | | | | | | | 
% 165.36/24.58  | | | | | | | | | | | REDUCE: (494), (784) imply:
% 165.36/24.58  | | | | | | | | | | |   (785)   ~ (all_6_2 = e0)
% 165.36/24.58  | | | | | | | | | | | 
% 165.36/24.58  | | | | | | | | | | | BETA: splitting (145) gives:
% 165.36/24.58  | | | | | | | | | | | 
% 165.36/24.58  | | | | | | | | | | | Case 1:
% 165.36/24.58  | | | | | | | | | | | | 
% 165.36/24.58  | | | | | | | | | | | |   (786)   ~ (all_48_2 = e1)
% 165.36/24.58  | | | | | | | | | | | | 
% 165.36/24.58  | | | | | | | | | | | | REDUCE: (478), (786) imply:
% 165.36/24.58  | | | | | | | | | | | |   (787)   ~ (all_14_2 = e1)
% 165.36/24.58  | | | | | | | | | | | | 
% 165.36/24.58  | | | | | | | | | | | | BETA: splitting (266) gives:
% 165.36/24.58  | | | | | | | | | | | | 
% 165.36/24.58  | | | | | | | | | | | | Case 1:
% 165.36/24.58  | | | | | | | | | | | | | 
% 165.36/24.58  | | | | | | | | | | | | |   (788)  all_56_15 = e0
% 165.36/24.58  | | | | | | | | | | | | | 
% 165.36/24.58  | | | | | | | | | | | | | COMBINE_EQS: (533), (788) imply:
% 165.36/24.58  | | | | | | | | | | | | |   (789)  all_14_2 = e0
% 165.36/24.58  | | | | | | | | | | | | | 
% 165.36/24.58  | | | | | | | | | | | | | SIMP: (789) implies:
% 165.36/24.58  | | | | | | | | | | | | |   (790)  all_14_2 = e0
% 165.36/24.58  | | | | | | | | | | | | | 
% 165.36/24.58  | | | | | | | | | | | | | REDUCE: (557), (790) imply:
% 165.36/24.58  | | | | | | | | | | | | |   (791)   ~ (all_52_3 = e0)
% 165.36/24.58  | | | | | | | | | | | | | 
% 165.36/24.58  | | | | | | | | | | | | | REDUCE: (568), (790) imply:
% 165.36/24.58  | | | | | | | | | | | | |   (792)   ~ (all_52_7 = e0)
% 165.36/24.58  | | | | | | | | | | | | | 
% 165.36/24.58  | | | | | | | | | | | | | REDUCE: (575), (790) imply:
% 165.36/24.58  | | | | | | | | | | | | |   (793)   ~ (all_52_11 = e0)
% 165.36/24.58  | | | | | | | | | | | | | 
% 165.36/24.58  | | | | | | | | | | | | | REDUCE: (577), (790) imply:
% 165.36/24.58  | | | | | | | | | | | | |   (794)   ~ (all_52_13 = e0)
% 165.36/24.58  | | | | | | | | | | | | | 
% 165.36/24.58  | | | | | | | | | | | | | REDUCE: (578), (790) imply:
% 165.36/24.58  | | | | | | | | | | | | |   (795)   ~ (all_52_14 = e0)
% 165.36/24.58  | | | | | | | | | | | | | 
% 165.36/24.58  | | | | | | | | | | | | | REDUCE: (63), (790) imply:
% 165.36/24.58  | | | | | | | | | | | | |   (796)  op(all_14_1, e0) = all_14_0
% 165.36/24.58  | | | | | | | | | | | | | 
% 165.36/24.58  | | | | | | | | | | | | | REDUCE: (62), (790) imply:
% 165.36/24.58  | | | | | | | | | | | | |   (797)  op(e0, e0) = all_14_1
% 165.36/24.58  | | | | | | | | | | | | | 
% 165.36/24.58  | | | | | | | | | | | | | REDUCE: (634), (790) imply:
% 165.36/24.58  | | | | | | | | | | | | |   (798)  op(e0, e0) = all_58_15
% 165.36/24.58  | | | | | | | | | | | | | 
% 165.36/24.58  | | | | | | | | | | | | | REDUCE: (61), (790) imply:
% 165.36/24.58  | | | | | | | | | | | | |   (799)  op(e0, e0) = e0
% 165.36/24.58  | | | | | | | | | | | | | 
% 165.36/24.58  | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (37), (41), (51),
% 165.36/24.58  | | | | | | | | | | | | |            (52), (162), (165), (167), (170), (172), (179),
% 165.36/24.58  | | | | | | | | | | | | |            (185), (187), (188), (190), (192), (193), (206),
% 165.36/24.58  | | | | | | | | | | | | |            (214), (237), (238), (243), (248), (273), (274),
% 165.36/24.58  | | | | | | | | | | | | |            (277), (281), (284), (285), (289), (291), (292),
% 165.36/24.58  | | | | | | | | | | | | |            (293), (294), (296), (330), (332), (333), (335),
% 165.36/24.58  | | | | | | | | | | | | |            (347), (348), (351), (368), (371), (377), (386),
% 165.36/24.58  | | | | | | | | | | | | |            (389), (390), (395), (396), (407), (411), (413),
% 165.36/24.58  | | | | | | | | | | | | |            (425), (429), (431), (435), (439), (441), (463),
% 165.36/24.58  | | | | | | | | | | | | |            (530), (531), (532), (534), (535), (536), (539),
% 165.36/24.58  | | | | | | | | | | | | |            (540), (541), (542), (544), (546), (548), (550),
% 165.36/24.58  | | | | | | | | | | | | |            (552), (555), (556), (558), (560), (564), (567),
% 165.36/24.58  | | | | | | | | | | | | |            (569), (570), (574), (619), (622), (624), (629),
% 165.36/24.58  | | | | | | | | | | | | |            (630), (770), (772), (775), (783), (785), (791),
% 165.36/24.58  | | | | | | | | | | | | |            (792), (793), (794), (795), (796), (797), (798),
% 165.36/24.58  | | | | | | | | | | | | |            (799), (function-axioms) are inconsistent by
% 165.36/24.58  | | | | | | | | | | | | |            sub-proof #911.
% 165.36/24.58  | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | Case 2:
% 165.36/24.59  | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | |   (800)   ~ (all_56_15 = e0)
% 165.36/24.59  | | | | | | | | | | | | |   (801)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 165.36/24.59  | | | | | | | | | | | | |          & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 165.36/24.59  | | | | | | | | | | | | |            e0)
% 165.36/24.59  | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | ALPHA: (801) implies:
% 165.36/24.59  | | | | | | | | | | | | |   (802)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 165.36/24.59  | | | | | | | | | | | | |   (803)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 165.36/24.59  | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | REDUCE: (533), (800) imply:
% 165.36/24.59  | | | | | | | | | | | | |   (804)   ~ (all_14_2 = e0)
% 165.36/24.59  | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | BETA: splitting (233) gives:
% 165.36/24.59  | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | Case 1:
% 165.36/24.59  | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | |   (805)  all_54_15 = e0
% 165.36/24.59  | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | REF_CLOSE: (341), (804), (805) are inconsistent by sub-proof
% 165.36/24.59  | | | | | | | | | | | | | |            #910.
% 165.36/24.59  | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | Case 2:
% 165.36/24.59  | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | |   (806)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 165.36/24.59  | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 165.36/24.59  | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | Case 1:
% 165.36/24.59  | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | |   (807)  all_54_10 = e0
% 165.36/24.59  | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | REF_CLOSE: (530), (772), (807) are inconsistent by sub-proof
% 165.36/24.59  | | | | | | | | | | | | | | |            #909.
% 165.36/24.59  | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | Case 2:
% 165.36/24.59  | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | |   (808)   ~ (all_54_10 = e0)
% 165.36/24.59  | | | | | | | | | | | | | | |   (809)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 165.36/24.59  | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 165.36/24.59  | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | Case 1:
% 165.36/24.59  | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | |   (810)  all_54_5 = e0
% 165.36/24.59  | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | REF_CLOSE: (531), (783), (810) are inconsistent by sub-proof
% 165.36/24.59  | | | | | | | | | | | | | | | |            #983.
% 165.36/24.59  | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | Case 2:
% 165.36/24.59  | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | |   (811)   ~ (all_54_5 = e0)
% 165.36/24.59  | | | | | | | | | | | | | | | |   (812)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 165.36/24.59  | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 165.36/24.59  | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | Case 1:
% 165.36/24.59  | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | |   (813)  all_54_0 = e0
% 165.36/24.59  | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (813) imply:
% 165.36/24.59  | | | | | | | | | | | | | | | | |   (814)  all_6_2 = e0
% 165.36/24.59  | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | REDUCE: (785), (814) imply:
% 165.36/24.59  | | | | | | | | | | | | | | | | |   (815)  $false
% 165.36/24.59  | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | CLOSE: (815) is inconsistent.
% 165.36/24.59  | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | Case 2:
% 165.36/24.59  | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | |   (816)   ~ (all_54_0 = e0)
% 165.36/24.59  | | | | | | | | | | | | | | | | |   (817)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 165.36/24.59  | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 165.36/24.59  | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | Case 1:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | |   (818)  all_56_6 = e0
% 165.36/24.59  | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (818) imply:
% 165.36/24.59  | | | | | | | | | | | | | | | | | |   (819)  all_52_2 = e0
% 165.36/24.59  | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (819) imply:
% 165.36/24.59  | | | | | | | | | | | | | | | | | |   (820)  all_58_18 = e0
% 165.36/24.59  | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | REDUCE: (188), (819) imply:
% 165.36/24.59  | | | | | | | | | | | | | | | | | |   (821)   ~ (all_52_3 = e0)
% 165.36/24.59  | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | SIMP: (821) implies:
% 165.36/24.59  | | | | | | | | | | | | | | | | | |   (822)   ~ (all_52_3 = e0)
% 165.36/24.59  | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | REDUCE: (187), (819) imply:
% 165.36/24.59  | | | | | | | | | | | | | | | | | |   (823)   ~ (all_52_6 = e0)
% 165.36/24.59  | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | SIMP: (823) implies:
% 165.36/24.59  | | | | | | | | | | | | | | | | | |   (824)   ~ (all_52_6 = e0)
% 165.36/24.59  | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | REDUCE: (185), (819) imply:
% 165.36/24.59  | | | | | | | | | | | | | | | | | |   (825)   ~ (all_52_14 = e0)
% 165.36/24.59  | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | SIMP: (825) implies:
% 165.36/24.59  | | | | | | | | | | | | | | | | | |   (826)   ~ (all_52_14 = e0)
% 165.36/24.59  | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | REDUCE: (556), (819) imply:
% 165.36/24.59  | | | | | | | | | | | | | | | | | |   (827)   ~ (all_10_2 = e0)
% 165.36/24.59  | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | REDUCE: (546), (819) imply:
% 165.36/24.59  | | | | | | | | | | | | | | | | | |   (828)   ~ (all_6_2 = e0)
% 165.36/24.59  | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | REDUCE: (207), (819) imply:
% 165.36/24.59  | | | | | | | | | | | | | | | | | |   (829)  op(e1, e3) = e0
% 165.36/24.59  | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | Case 1:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | |   (830)  all_56_1 = e0
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (830) imply:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | |   (831)  all_52_4 = e0
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (831) imply:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | |   (832)  all_58_20 = e0
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | REDUCE: (179), (831) imply:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | |   (833)   ~ (all_52_7 = e0)
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | SIMP: (833) implies:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | |   (834)   ~ (all_52_7 = e0)
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | REDUCE: (177), (831) imply:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | |   (835)   ~ (all_52_12 = e0)
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | SIMP: (835) implies:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | |   (836)   ~ (all_52_12 = e0)
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | REDUCE: (214), (831) imply:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | |   (837)  op(e3, e2) = e0
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | BETA: splitting (802) gives:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | Case 1:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | |   (838)  all_56_12 = e0
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (822), (838) are inconsistent by sub-proof
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | |            #919.
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | Case 2:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | |   (839)  all_56_13 = e0 | all_56_14 = e0
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | BETA: splitting (839) gives:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | |   (840)  all_56_13 = e0
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (348), (834), (840) are inconsistent by sub-proof
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | |            #942.
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | |   (841)  all_56_14 = e0
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (841) imply:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | |   (842)  all_52_11 = e0
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | SIMP: (842) implies:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | |   (843)  all_52_11 = e0
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (803) gives:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | |   (844)  all_56_9 = e0
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (390), (836), (844) are inconsistent by sub-proof
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | |            #908.
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | |   (845)  all_56_10 = e0 | all_56_11 = e0
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (845) gives:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | |   (846)  all_56_10 = e0
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (846) imply:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | |   (847)  all_52_13 = e0
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (847) implies:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | |   (848)  all_52_13 = e0
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (848) imply:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | |   (849)  all_58_29 = e0
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (189), (848) imply:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | |   (850)   ~ (all_52_1 = e0)
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (161), (848) imply:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | |   (851)   ~ (all_52_9 = e0)
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (848) imply:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | |   (852)   ~ (all_14_2 = e0)
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (848) imply:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | |   (853)   ~ (all_4_2 = e0)
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (37), (52), (53), (156),
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | |            (172), (190), (209), (239), (242), (244), (245),
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | |            (267), (271), (275), (280), (284), (293), (331),
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | |            (333), (335), (348), (356), (368), (386), (389),
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | |            (390), (407), (411), (425), (429), (431), (441),
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | |            (448), (453), (456), (460), (531), (533), (534),
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | |            (535), (536), (537), (538), (540), (542), (544),
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | |            (552), (554), (555), (560), (564), (622), (623),
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | |            (770), (781), (783), (785), (787), (804), (812),
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | |            (818), (820), (822), (824), (826), (832), (834),
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | |            (836), (837), (841), (849), (850), (851),
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | |            #874.
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | |   (854)  all_56_11 = e0
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (826), (854) are inconsistent by sub-proof
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | |            #873.
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | End of split
% 165.36/24.59  | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | End of split
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | End of split
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | Case 2:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | |   (855)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (42), (52), (161), (162),
% 165.36/24.60  | | | | | | | | | | | | | | | | | | |            (164), (165), (167), (169), (170), (172), (178),
% 165.36/24.60  | | | | | | | | | | | | | | | | | | |            (179), (180), (184), (189), (190), (192), (213),
% 165.36/24.60  | | | | | | | | | | | | | | | | | | |            (239), (244), (247), (267), (270), (275), (277),
% 165.36/24.60  | | | | | | | | | | | | | | | | | | |            (290), (293), (295), (331), (332), (335), (347),
% 165.36/24.60  | | | | | | | | | | | | | | | | | | |            (348), (351), (356), (374), (377), (389), (390),
% 165.36/24.60  | | | | | | | | | | | | | | | | | | |            (395), (396), (407), (425), (429), (431), (435),
% 165.36/24.60  | | | | | | | | | | | | | | | | | | |            (439), (441), (446), (448), (456), (530), (532),
% 165.36/24.60  | | | | | | | | | | | | | | | | | | |            (533), (534), (535), (536), (537), (538), (539),
% 165.36/24.60  | | | | | | | | | | | | | | | | | | |            (542), (544), (548), (550), (552), (554), (557),
% 165.36/24.60  | | | | | | | | | | | | | | | | | | |            (567), (569), (570), (572), (574), (576), (577),
% 165.36/24.60  | | | | | | | | | | | | | | | | | | |            (620), (628), (772), (774), (779), (783), (785),
% 165.36/24.60  | | | | | | | | | | | | | | | | | | |            (787), (803), (809), (817), (818), (820), (824),
% 165.36/24.60  | | | | | | | | | | | | | | | | | | |            (826), (829), (855), (function-axioms) are
% 165.36/24.60  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #840.
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | End of split
% 165.36/24.60  | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | Case 2:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | |   (856)   ~ (all_56_6 = e0)
% 165.36/24.60  | | | | | | | | | | | | | | | | | |   (857)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 165.36/24.60  | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | REDUCE: (413), (856) imply:
% 165.36/24.60  | | | | | | | | | | | | | | | | | |   (858)   ~ (all_52_2 = e0)
% 165.36/24.60  | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | Case 1:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | |   (859)  all_56_0 = e0
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (859) imply:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | |   (860)  all_6_2 = e0
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | REDUCE: (785), (860) imply:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | |   (861)  $false
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | CLOSE: (861) is inconsistent.
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | Case 2:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | |   (862)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | Case 1:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | |   (863)  all_54_8 = e0
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (858), (863) are inconsistent by sub-proof
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | |            #839.
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | Case 2:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | |   (864)   ~ (all_54_8 = e0)
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | |   (865)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | |   (866)  all_56_2 = e0
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (866) imply:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | |   (867)  all_52_1 = e0
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (867) imply:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | |   (868)  all_58_17 = e0
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | REDUCE: (193), (867) imply:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | |   (869)   ~ (all_52_2 = e0)
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (867) imply:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | |   (870)   ~ (all_52_3 = e0)
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | SIMP: (870) implies:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | |   (871)   ~ (all_52_3 = e0)
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (867) imply:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | |   (872)   ~ (all_52_9 = e0)
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | SIMP: (872) implies:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | |   (873)   ~ (all_52_9 = e0)
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | REDUCE: (189), (867) imply:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | |   (874)   ~ (all_52_13 = e0)
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | SIMP: (874) implies:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | |   (875)   ~ (all_52_13 = e0)
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (867) imply:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | |   (876)   ~ (all_6_2 = e0)
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | REDUCE: (555), (867) imply:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | |   (877)   ~ (all_4_2 = e0)
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | REDUCE: (211), (867) imply:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | |   (878)  op(e2, e3) = e0
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | |   (879)  all_56_4 = e0
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (879) imply:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | |   (880)  all_52_8 = e0
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (880) imply:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | |   (881)  all_58_24 = e0
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (880) imply:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | |   (882)   ~ (all_52_11 = e0)
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | SIMP: (882) implies:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | |   (883)   ~ (all_52_11 = e0)
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (880) imply:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | |   (884)   ~ (all_52_12 = e0)
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | SIMP: (884) implies:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | |   (885)   ~ (all_52_12 = e0)
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (569), (880) imply:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | |   (886)   ~ (all_10_2 = e0)
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (621), (880) imply:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | |   (887)  op(e3, e0) = all_58_2
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | |              all_58_2, e0, e3, simplifying with (212), (887)
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | |              gives:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | |   (888)  all_58_2 = all_52_12
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (62), (154), (156),
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | |            (161), (162), (169), (184), (185), (188), (212),
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | |            (236), (269), (270), (271), (272), (278), (293),
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | |            (331), (332), (334), (335), (347), (348), (351),
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | |            (356), (371), (374), (377), (386), (390), (407),
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | |            (431), (435), (439), (441), (465), (532), (533),
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | |            (534), (536), (537), (538), (539), (540), (542),
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | |            (546), (548), (554), (556), (557), (564), (572),
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | |            (575), (578), (777), (787), (802), (803), (817),
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | |            (868), (871), (873), (875), (879), (881), (883),
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | |            (885), (887), (function-axioms) are inconsistent
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #801.
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | |   (889)   ~ (all_56_2 = e0)
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | |   (890)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (411), (889) imply:
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | |   (891)   ~ (all_52_1 = e0)
% 165.36/24.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (43), (154),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (183), (184), (185), (187), (189), (190), (193),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (209), (211), (234), (235), (244),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (245), (246), (247), (267), (268), (270), (272),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (275), (276), (277), (278), (282), (284), (285),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (286), (288), (290), (291), (292), (293), (294),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (295), (331), (332), (333), (334), (341), (347),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (348), (351), (356), (368), (371), (374), (377),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (386), (389), (390), (395), (396), (407), (411),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (413), (425), (429), (431), (435), (439), (441),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (446), (448), (451), (455), (460), (466), (468),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (531), (532), (533), (534), (535), (536), (537),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (538), (539), (540), (541), (542), (544), (546),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (548), (550), (552), (554), (555), (556), (558),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (560), (562), (564), (566), (567), (568), (569),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (570), (572), (574), (575), (576), (577), (578),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (771), (772), (774), (783), (803), (806), (812),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (817), (857), (858), (862), (865), (890), (891),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            #715.
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | |   (892)   ~ (all_56_4 = e0)
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (429), (892) imply:
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | |   (893)   ~ (all_52_8 = e0)
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |   (894)  all_56_1 = e0
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (42), (154),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (164), (177), (179), (185),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (187), (189), (190), (192), (211), (214), (241),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (242), (280), (281), (284), (291), (292), (294),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (331), (333), (335), (351), (356), (368), (371),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (374), (386), (389), (390), (396), (407), (411),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (413), (429), (431), (439), (441), (453), (462),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (531), (535), (536), (537), (538), (540), (541),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (542), (544), (546), (548), (558), (560), (564),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (566), (578), (625), (770), (774), (803), (812),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (873), (875), (894), (function-axioms) are
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #693.
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |   (895)   ~ (all_56_1 = e0)
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (396), (895) imply:
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |   (896)   ~ (all_52_4 = e0)
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (52), (53), (154), (156),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (157), (164), (172), (178), (180), (185), (187),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (188), (213), (241), (246), (247), (267), (270),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (279), (286), (290), (291), (331), (333), (335),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (351), (356), (368), (371), (374), (386), (390),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (396), (407), (413), (425), (429), (439), (441),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (446), (451), (462), (530), (533), (534), (536),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (537), (538), (540), (541), (542), (546), (550),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (552), (554), (558), (566), (569), (574), (576),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (620), (626), (772), (781), (785), (787), (809),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (857), (866), (868), (871), (878), (893), (896),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | |            #684.
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | End of split
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | |   (897)   ~ (all_56_2 = e0)
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | |   (898)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | REDUCE: (411), (897) imply:
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | |   (899)   ~ (all_52_1 = e0)
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (43), (154),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | |            (183), (184), (185), (187), (189), (190), (193),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | |            (206), (207), (209), (211), (234), (235), (244),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | |            (245), (246), (247), (267), (268), (270), (272),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | |            (275), (276), (277), (278), (282), (284), (285),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | |            (286), (288), (290), (291), (292), (293), (294),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | |            (295), (331), (332), (333), (334), (341), (347),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | |            (348), (351), (356), (368), (371), (374), (377),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | |            (386), (389), (390), (395), (396), (407), (411),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | |            (413), (425), (429), (431), (435), (439), (441),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | |            (446), (448), (451), (455), (460), (466), (468),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | |            (531), (532), (533), (534), (535), (536), (537),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | |            (538), (539), (540), (541), (542), (544), (546),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | |            (548), (550), (552), (554), (555), (556), (558),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | |            (560), (562), (564), (566), (567), (568), (569),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | |            (570), (572), (574), (575), (576), (577), (578),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | |            (771), (772), (774), (783), (803), (806), (812),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | |            (817), (857), (858), (862), (865), (898), (899),
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | |            #715.
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | End of split
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | End of split
% 165.68/24.61  | | | | | | | | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | | | | | | | | End of split
% 165.68/24.61  | | | | | | | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | | | | | | | End of split
% 165.68/24.61  | | | | | | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | | | | | | End of split
% 165.68/24.61  | | | | | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | | | | | End of split
% 165.68/24.61  | | | | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | | | | End of split
% 165.68/24.61  | | | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | | | End of split
% 165.68/24.61  | | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | | End of split
% 165.68/24.61  | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | Case 2:
% 165.68/24.61  | | | | | | | | | | | | 
% 165.68/24.61  | | | | | | | | | | | |   (900)  all_48_2 = e1
% 165.68/24.61  | | | | | | | | | | | | 
% 165.68/24.62  | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (42), (43),
% 165.68/24.62  | | | | | | | | | | | |            (62), (63), (150), (154), (156), (157), (161),
% 165.68/24.62  | | | | | | | | | | | |            (162), (164), (165), (167), (169), (170), (172),
% 165.68/24.62  | | | | | | | | | | | |            (177), (178), (179), (180), (183), (184), (185),
% 165.68/24.62  | | | | | | | | | | | |            (187), (188), (189), (190), (192), (193), (201),
% 165.68/24.62  | | | | | | | | | | | |            (204), (206), (207), (209), (211), (213), (214),
% 165.68/24.62  | | | | | | | | | | | |            (234), (235), (236), (237), (239), (240), (241),
% 165.68/24.62  | | | | | | | | | | | |            (242), (243), (244), (245), (246), (247), (248),
% 165.68/24.62  | | | | | | | | | | | |            (266), (268), (269), (270), (271), (273), (274),
% 165.68/24.62  | | | | | | | | | | | |            (275), (276), (277), (279), (280), (281), (282),
% 165.68/24.62  | | | | | | | | | | | |            (284), (285), (286), (289), (290), (291), (292),
% 165.68/24.62  | | | | | | | | | | | |            (293), (294), (295), (331), (332), (333), (335),
% 165.68/24.62  | | | | | | | | | | | |            (347), (348), (351), (356), (368), (371), (374),
% 165.68/24.62  | | | | | | | | | | | |            (377), (386), (389), (390), (395), (396), (407),
% 165.68/24.62  | | | | | | | | | | | |            (411), (413), (425), (429), (431), (435), (439),
% 165.68/24.62  | | | | | | | | | | | |            (441), (446), (448), (451), (453), (455), (456),
% 165.68/24.62  | | | | | | | | | | | |            (460), (462), (463), (465), (466), (468), (478),
% 165.68/24.62  | | | | | | | | | | | |            (525), (531), (532), (533), (534), (535), (536),
% 165.68/24.62  | | | | | | | | | | | |            (537), (538), (539), (540), (541), (542), (544),
% 165.68/24.62  | | | | | | | | | | | |            (546), (548), (550), (552), (554), (555), (556),
% 165.68/24.62  | | | | | | | | | | | |            (557), (558), (560), (562), (564), (566), (567),
% 165.68/24.62  | | | | | | | | | | | |            (568), (569), (570), (572), (574), (575), (576),
% 165.68/24.62  | | | | | | | | | | | |            (577), (578), (620), (625), (628), (634), (692),
% 165.68/24.62  | | | | | | | | | | | |            (769), (770), (771), (772), (774), (783), (785),
% 165.68/24.62  | | | | | | | | | | | |            (900), (function-axioms) are inconsistent by
% 165.68/24.62  | | | | | | | | | | | |            sub-proof #645.
% 165.68/24.62  | | | | | | | | | | | | 
% 165.68/24.62  | | | | | | | | | | | End of split
% 165.68/24.62  | | | | | | | | | | | 
% 165.68/24.62  | | | | | | | | | | Case 2:
% 165.68/24.62  | | | | | | | | | | | 
% 165.68/24.62  | | | | | | | | | | |   (901)  all_42_2 = e0
% 165.68/24.62  | | | | | | | | | | |   (902)   ~ (all_42_0 = e1) |  ~ (all_42_1 = e2)
% 165.68/24.62  | | | | | | | | | | | 
% 165.68/24.62  | | | | | | | | | | | COMBINE_EQS: (494), (901) imply:
% 165.68/24.62  | | | | | | | | | | |   (903)  all_6_2 = e0
% 165.68/24.62  | | | | | | | | | | | 
% 165.68/24.62  | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (42), (43),
% 165.68/24.62  | | | | | | | | | | |            (61), (62), (63), (154), (156), (157), (161),
% 165.68/24.62  | | | | | | | | | | |            (162), (164), (165), (167), (169), (170), (172),
% 165.68/24.62  | | | | | | | | | | |            (177), (178), (179), (180), (183), (184), (185),
% 165.68/24.62  | | | | | | | | | | |            (187), (188), (189), (190), (192), (193), (203),
% 165.68/24.62  | | | | | | | | | | |            (204), (206), (208), (212), (233), (234), (236),
% 165.68/24.62  | | | | | | | | | | |            (237), (238), (239), (241), (242), (243), (244),
% 165.68/24.62  | | | | | | | | | | |            (245), (246), (247), (266), (268), (270), (273),
% 165.68/24.62  | | | | | | | | | | |            (274), (275), (276), (277), (278), (279), (280),
% 165.68/24.62  | | | | | | | | | | |            (281), (282), (284), (286), (287), (291), (293),
% 165.68/24.62  | | | | | | | | | | |            (294), (295), (330), (331), (332), (333), (334),
% 165.68/24.62  | | | | | | | | | | |            (335), (341), (347), (348), (351), (356), (368),
% 165.68/24.62  | | | | | | | | | | |            (371), (374), (377), (386), (389), (390), (395),
% 165.68/24.62  | | | | | | | | | | |            (396), (407), (411), (413), (425), (429), (431),
% 165.68/24.62  | | | | | | | | | | |            (435), (439), (441), (446), (448), (451), (453),
% 165.68/24.62  | | | | | | | | | | |            (456), (460), (462), (463), (465), (468), (530),
% 165.68/24.62  | | | | | | | | | | |            (531), (533), (534), (535), (536), (537), (538),
% 165.68/24.62  | | | | | | | | | | |            (539), (540), (541), (542), (544), (546), (548),
% 165.68/24.62  | | | | | | | | | | |            (550), (552), (554), (555), (556), (557), (558),
% 165.68/24.62  | | | | | | | | | | |            (560), (562), (564), (566), (567), (569), (570),
% 165.68/24.62  | | | | | | | | | | |            (572), (574), (575), (576), (577), (578), (619),
% 165.68/24.62  | | | | | | | | | | |            (625), (626), (628), (630), (632), (633), (634),
% 165.68/24.62  | | | | | | | | | | |            (689), (719), (770), (772), (775), (783), (902),
% 165.68/24.62  | | | | | | | | | | |            (903), (function-axioms) are inconsistent by
% 165.68/24.62  | | | | | | | | | | |            sub-proof #576.
% 165.68/24.62  | | | | | | | | | | | 
% 165.68/24.62  | | | | | | | | | | End of split
% 165.68/24.62  | | | | | | | | | | 
% 165.68/24.62  | | | | | | | | | Case 2:
% 165.68/24.62  | | | | | | | | | | 
% 165.68/24.62  | | | | | | | | | |   (904)  all_24_2 = e0
% 165.68/24.62  | | | | | | | | | |   (905)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3)
% 165.68/24.62  | | | | | | | | | | 
% 165.68/24.62  | | | | | | | | | | COMBINE_EQS: (510), (904) imply:
% 165.68/24.62  | | | | | | | | | |   (906)  all_4_2 = e0
% 165.68/24.62  | | | | | | | | | | 
% 165.68/24.62  | | | | | | | | | | SIMP: (906) implies:
% 165.68/24.62  | | | | | | | | | |   (907)  all_4_2 = e0
% 165.68/24.62  | | | | | | | | | | 
% 165.68/24.62  | | | | | | | | | | COMBINE_EQS: (496), (907) imply:
% 165.68/24.62  | | | | | | | | | |   (908)  all_40_2 = e0
% 165.68/24.62  | | | | | | | | | | 
% 165.68/24.62  | | | | | | | | | | COMBINE_EQS: (535), (907) imply:
% 165.68/24.62  | | | | | | | | | |   (909)  all_56_3 = e0
% 165.68/24.62  | | | | | | | | | | 
% 165.68/24.62  | | | | | | | | | | COMBINE_EQS: (386), (907) imply:
% 165.68/24.62  | | | | | | | | | |   (910)  all_58_21 = e0
% 165.68/24.62  | | | | | | | | | | 
% 165.68/24.62  | | | | | | | | | | REDUCE: (555), (907) imply:
% 165.68/24.62  | | | | | | | | | |   (911)   ~ (all_52_1 = e0)
% 165.68/24.62  | | | | | | | | | | 
% 165.68/24.62  | | | | | | | | | | REDUCE: (558), (907) imply:
% 165.68/24.62  | | | | | | | | | |   (912)   ~ (all_52_4 = e0)
% 165.68/24.62  | | | | | | | | | | 
% 165.68/24.62  | | | | | | | | | | REDUCE: (560), (907) imply:
% 165.68/24.62  | | | | | | | | | |   (913)   ~ (all_52_6 = e0)
% 165.68/24.62  | | | | | | | | | | 
% 165.68/24.62  | | | | | | | | | | REDUCE: (562), (907) imply:
% 165.68/24.62  | | | | | | | | | |   (914)   ~ (all_52_7 = e0)
% 165.68/24.62  | | | | | | | | | | 
% 165.68/24.62  | | | | | | | | | | REDUCE: (564), (907) imply:
% 165.68/24.62  | | | | | | | | | |   (915)   ~ (all_52_9 = e0)
% 165.68/24.62  | | | | | | | | | | 
% 165.68/24.62  | | | | | | | | | | REDUCE: (38), (907) imply:
% 165.68/24.62  | | | | | | | | | |   (916)  op(all_4_1, e0) = all_4_0
% 165.68/24.62  | | | | | | | | | | 
% 165.68/24.62  | | | | | | | | | | REDUCE: (37), (907) imply:
% 165.68/24.62  | | | | | | | | | |   (917)  op(e0, e2) = all_4_1
% 165.68/24.62  | | | | | | | | | | 
% 165.68/24.62  | | | | | | | | | | REDUCE: (624), (907) imply:
% 165.68/24.62  | | | | | | | | | |   (918)  op(e2, e0) = all_58_5
% 165.68/24.62  | | | | | | | | | | 
% 165.68/24.62  | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (43), (61),
% 165.68/24.62  | | | | | | | | | |            (62), (63), (126), (131), (154), (156), (157),
% 165.68/24.62  | | | | | | | | | |            (161), (162), (164), (165), (167), (169), (170),
% 165.68/24.62  | | | | | | | | | |            (172), (177), (178), (179), (180), (183), (184),
% 165.68/24.62  | | | | | | | | | |            (185), (187), (188), (189), (190), (192), (193),
% 165.68/24.62  | | | | | | | | | |            (202), (203), (204), (207), (208), (209), (212),
% 165.68/24.62  | | | | | | | | | |            (234), (235), (236), (237), (238), (239), (240),
% 165.68/24.62  | | | | | | | | | |            (241), (242), (244), (245), (246), (247), (248),
% 165.68/24.62  | | | | | | | | | |            (266), (267), (269), (270), (271), (272), (273),
% 165.68/24.62  | | | | | | | | | |            (275), (276), (277), (278), (279), (280), (283),
% 165.68/24.62  | | | | | | | | | |            (284), (286), (287), (288), (289), (290), (291),
% 165.68/24.62  | | | | | | | | | |            (292), (293), (294), (295), (330), (331), (332),
% 165.68/24.62  | | | | | | | | | |            (333), (334), (335), (347), (348), (351), (356),
% 165.68/24.62  | | | | | | | | | |            (368), (371), (374), (377), (386), (389), (390),
% 165.68/24.62  | | | | | | | | | |            (395), (396), (407), (411), (413), (425), (429),
% 165.68/24.62  | | | | | | | | | |            (431), (435), (439), (441), (446), (448), (451),
% 165.68/24.62  | | | | | | | | | |            (453), (455), (456), (460), (462), (463), (465),
% 165.68/24.62  | | | | | | | | | |            (466), (468), (494), (530), (532), (533), (534),
% 165.68/24.62  | | | | | | | | | |            (536), (537), (538), (539), (540), (541), (542),
% 165.68/24.62  | | | | | | | | | |            (544), (546), (548), (550), (552), (554), (556),
% 165.68/24.62  | | | | | | | | | |            (557), (558), (567), (568), (569), (570), (572),
% 165.68/24.62  | | | | | | | | | |            (574), (575), (576), (577), (578), (619), (621),
% 165.68/24.62  | | | | | | | | | |            (622), (627), (630), (631), (633), (634), (674),
% 165.68/24.62  | | | | | | | | | |            (688), (740), (755), (772), (775), (905), (908),
% 165.68/24.62  | | | | | | | | | |            (909), (910), (911), (912), (913), (914), (915),
% 165.68/24.62  | | | | | | | | | |            (916), (917), (918), (function-axioms) are
% 165.68/24.62  | | | | | | | | | |            inconsistent by sub-proof #487.
% 165.68/24.62  | | | | | | | | | | 
% 165.68/24.62  | | | | | | | | | End of split
% 165.68/24.62  | | | | | | | | | 
% 165.68/24.62  | | | | | | | | Case 2:
% 165.68/24.62  | | | | | | | | | 
% 165.68/24.62  | | | | | | | | |   (919)  all_22_0 = e0
% 165.68/24.63  | | | | | | | | |   (920)   ~ (all_22_1 = e2) |  ~ (all_22_2 = e3)
% 165.68/24.63  | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | COMBINE_EQS: (723), (919) imply:
% 165.68/24.63  | | | | | | | | |   (921)  all_10_0 = e0
% 165.68/24.63  | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | SIMP: (921) implies:
% 165.68/24.63  | | | | | | | | |   (922)  all_10_0 = e0
% 165.68/24.63  | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | COMBINE_EQS: (768), (922) imply:
% 165.68/24.63  | | | | | | | | |   (923)  all_38_0 = e0
% 165.68/24.63  | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | REDUCE: (53), (922) imply:
% 165.68/24.63  | | | | | | | | |   (924)  op(all_10_1, all_10_2) = e0
% 165.68/24.63  | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | BETA: splitting (89) gives:
% 165.68/24.63  | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | Case 1:
% 165.68/24.63  | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | |   (925)   ~ (all_24_2 = e0)
% 165.68/24.63  | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | REDUCE: (510), (925) imply:
% 165.68/24.63  | | | | | | | | | |   (926)   ~ (all_4_2 = e0)
% 165.68/24.63  | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | BETA: splitting (121) gives:
% 165.68/24.63  | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | Case 1:
% 165.68/24.63  | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | |   (927)   ~ (all_38_0 = e0)
% 165.68/24.63  | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | REDUCE: (923), (927) imply:
% 165.68/24.63  | | | | | | | | | | |   (928)  $false
% 165.68/24.63  | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | CLOSE: (928) is inconsistent.
% 165.68/24.63  | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | Case 2:
% 165.68/24.63  | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | |   (929)   ~ (all_38_1 = e3) |  ~ (all_38_2 = e2)
% 165.68/24.63  | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | BETA: splitting (131) gives:
% 165.68/24.63  | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | Case 1:
% 165.68/24.63  | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | |   (930)   ~ (all_42_2 = e0)
% 165.68/24.63  | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | REDUCE: (494), (930) imply:
% 165.68/24.63  | | | | | | | | | | | |   (931)   ~ (all_6_2 = e0)
% 165.68/24.63  | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | BETA: splitting (145) gives:
% 165.68/24.63  | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | Case 1:
% 165.68/24.63  | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | |   (932)   ~ (all_48_2 = e1)
% 165.68/24.63  | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | REDUCE: (478), (932) imply:
% 165.68/24.63  | | | | | | | | | | | | |   (933)   ~ (all_14_2 = e1)
% 165.68/24.63  | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | BETA: splitting (266) gives:
% 165.68/24.63  | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | Case 1:
% 165.68/24.63  | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | |   (934)  all_56_15 = e0
% 165.68/24.63  | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | COMBINE_EQS: (533), (934) imply:
% 165.68/24.63  | | | | | | | | | | | | | |   (935)  all_14_2 = e0
% 165.68/24.63  | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | SIMP: (935) implies:
% 165.68/24.63  | | | | | | | | | | | | | |   (936)  all_14_2 = e0
% 165.68/24.63  | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | REDUCE: (557), (936) imply:
% 165.68/24.63  | | | | | | | | | | | | | |   (937)   ~ (all_52_3 = e0)
% 165.68/24.63  | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | REDUCE: (568), (936) imply:
% 165.68/24.63  | | | | | | | | | | | | | |   (938)   ~ (all_52_7 = e0)
% 165.68/24.63  | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | REDUCE: (575), (936) imply:
% 165.68/24.63  | | | | | | | | | | | | | |   (939)   ~ (all_52_11 = e0)
% 165.68/24.63  | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | REDUCE: (577), (936) imply:
% 165.68/24.63  | | | | | | | | | | | | | |   (940)   ~ (all_52_13 = e0)
% 165.68/24.63  | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | REDUCE: (578), (936) imply:
% 165.68/24.63  | | | | | | | | | | | | | |   (941)   ~ (all_52_14 = e0)
% 165.68/24.63  | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | REDUCE: (63), (936) imply:
% 165.68/24.63  | | | | | | | | | | | | | |   (942)  op(all_14_1, e0) = all_14_0
% 165.68/24.63  | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | REDUCE: (62), (936) imply:
% 165.68/24.63  | | | | | | | | | | | | | |   (943)  op(e0, e0) = all_14_1
% 165.68/24.63  | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | REDUCE: (634), (936) imply:
% 165.68/24.63  | | | | | | | | | | | | | |   (944)  op(e0, e0) = all_58_15
% 165.68/24.63  | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | REDUCE: (61), (936) imply:
% 165.68/24.63  | | | | | | | | | | | | | |   (945)  op(e0, e0) = e0
% 165.68/24.63  | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1,
% 165.68/24.63  | | | | | | | | | | | | | |              all_58_15, e0, e0, simplifying with (943), (944)
% 165.68/24.63  | | | | | | | | | | | | | |              gives:
% 165.68/24.63  | | | | | | | | | | | | | |   (946)  all_58_15 = all_14_1
% 165.68/24.63  | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 165.68/24.63  | | | | | | | | | | | | | |              all_58_15, e0, e0, simplifying with (944), (945)
% 165.68/24.63  | | | | | | | | | | | | | |              gives:
% 165.68/24.63  | | | | | | | | | | | | | |   (947)  all_58_15 = e0
% 165.68/24.63  | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | COMBINE_EQS: (946), (947) imply:
% 165.68/24.63  | | | | | | | | | | | | | |   (948)  all_14_1 = e0
% 165.68/24.63  | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | SIMP: (948) implies:
% 165.68/24.63  | | | | | | | | | | | | | |   (949)  all_14_1 = e0
% 165.68/24.63  | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | REDUCE: (942), (949) imply:
% 165.68/24.63  | | | | | | | | | | | | | |   (950)  op(e0, e0) = all_14_0
% 165.68/24.63  | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_14_0,
% 165.68/24.63  | | | | | | | | | | | | | |              e0, e0, simplifying with (945), (950) gives:
% 165.68/24.63  | | | | | | | | | | | | | |   (951)  all_14_0 = e0
% 165.68/24.63  | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | REDUCE: (775), (951) imply:
% 165.68/24.63  | | | | | | | | | | | | | |   (952)   ~ (e1 = e0)
% 165.68/24.63  | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 165.68/24.63  | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | Case 1:
% 165.68/24.63  | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | |   (953)  all_56_2 = e0
% 165.68/24.63  | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | COMBINE_EQS: (411), (953) imply:
% 165.68/24.63  | | | | | | | | | | | | | | |   (954)  all_52_1 = e0
% 165.68/24.63  | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | COMBINE_EQS: (389), (954) imply:
% 165.68/24.63  | | | | | | | | | | | | | | |   (955)  all_58_17 = e0
% 165.68/24.63  | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | REDUCE: (193), (954) imply:
% 165.68/24.63  | | | | | | | | | | | | | | |   (956)   ~ (all_52_2 = e0)
% 165.68/24.63  | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | SIMP: (956) implies:
% 165.68/24.63  | | | | | | | | | | | | | | |   (957)   ~ (all_52_2 = e0)
% 165.68/24.63  | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | REDUCE: (192), (954) imply:
% 165.68/24.63  | | | | | | | | | | | | | | |   (958)   ~ (all_52_3 = e0)
% 165.68/24.63  | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | REDUCE: (189), (954) imply:
% 165.68/24.63  | | | | | | | | | | | | | | |   (959)   ~ (all_52_13 = e0)
% 165.68/24.63  | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | REDUCE: (544), (954) imply:
% 165.68/24.63  | | | | | | | | | | | | | | |   (960)   ~ (all_6_2 = e0)
% 165.68/24.63  | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 165.68/24.63  | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | Case 1:
% 165.68/24.63  | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | |   (961)  all_56_6 = e0
% 165.68/24.63  | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (961) imply:
% 165.68/24.63  | | | | | | | | | | | | | | | |   (962)  all_52_2 = e0
% 165.68/24.63  | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | REDUCE: (957), (962) imply:
% 165.68/24.63  | | | | | | | | | | | | | | | |   (963)  $false
% 165.68/24.63  | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | CLOSE: (963) is inconsistent.
% 165.68/24.63  | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | Case 2:
% 165.68/24.63  | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | |   (964)   ~ (all_56_6 = e0)
% 165.68/24.63  | | | | | | | | | | | | | | | |   (965)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 165.68/24.63  | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 165.68/24.63  | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | Case 1:
% 165.68/24.63  | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | |   (966)  all_56_4 = e0
% 165.68/24.63  | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (966) imply:
% 165.68/24.63  | | | | | | | | | | | | | | | | |   (967)  all_52_8 = e0
% 165.68/24.63  | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (967) imply:
% 165.68/24.63  | | | | | | | | | | | | | | | | |   (968)  all_58_24 = e0
% 165.68/24.63  | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | REDUCE: (167), (967) imply:
% 165.68/24.63  | | | | | | | | | | | | | | | | |   (969)   ~ (all_52_9 = e0)
% 165.68/24.63  | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | SIMP: (969) implies:
% 165.68/24.63  | | | | | | | | | | | | | | | | |   (970)   ~ (all_52_9 = e0)
% 165.68/24.63  | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | REDUCE: (165), (967) imply:
% 165.68/24.63  | | | | | | | | | | | | | | | | |   (971)   ~ (all_52_11 = e0)
% 165.68/24.63  | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | REDUCE: (569), (967) imply:
% 165.68/24.63  | | | | | | | | | | | | | | | | |   (972)   ~ (all_10_2 = e0)
% 165.68/24.63  | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | BETA: splitting (965) gives:
% 165.68/24.63  | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | Case 1:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | |   (973)  all_56_7 = e0
% 165.68/24.63  | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (973) imply:
% 165.68/24.63  | | | | | | | | | | | | | | | | | |   (974)  all_52_6 = e0
% 165.68/24.63  | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (368), (974) imply:
% 165.68/24.63  | | | | | | | | | | | | | | | | | |   (975)  all_58_22 = e0
% 165.68/24.63  | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | REDUCE: (172), (974) imply:
% 165.68/24.63  | | | | | | | | | | | | | | | | | |   (976)   ~ (all_52_7 = e0)
% 165.68/24.63  | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | REDUCE: (170), (974) imply:
% 165.68/24.63  | | | | | | | | | | | | | | | | | |   (977)   ~ (all_52_14 = e0)
% 165.68/24.63  | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | REDUCE: (560), (974) imply:
% 165.68/24.63  | | | | | | | | | | | | | | | | | |   (978)   ~ (all_4_2 = e0)
% 165.68/24.63  | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | REDUCE: (206), (974) imply:
% 165.68/24.63  | | | | | | | | | | | | | | | | | |   (979)  op(e1, e2) = e0
% 165.68/24.63  | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | Case 1:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | |   (980)  all_54_10 = e0
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (530), (772), (980) are inconsistent by sub-proof
% 165.68/24.63  | | | | | | | | | | | | | | | | | | |            #909.
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | Case 2:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | |   (981)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | Case 1:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | |   (982)  all_54_5 = e0
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (531), (926), (982) are inconsistent by sub-proof
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | |            #983.
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | Case 2:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | |   (983)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | |   (984)  all_54_7 = e0
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (940), (984) are inconsistent by sub-proof
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | |            #714.
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | |   (985)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | |   (986)  all_54_6 = e0
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (970), (986) are inconsistent by sub-proof
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | |            #901.
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | |   (987)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | |   (988)  all_54_11 = e0
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (941), (988) are inconsistent by sub-proof
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | |            #558.
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | |   (989)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | |   (990)  all_58_27 = e0
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (990) imply:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | |   (991)  all_52_11 = e0
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (939), (991) imply:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | |   (992)  $false
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (992) is inconsistent.
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | |   (993)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (994)  all_58_19 = e0
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (994) imply:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (995)  all_52_3 = e0
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (937), (995) imply:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (996)  $false
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (996) is inconsistent.
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (997)   ~ (all_58_19 = e0)
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (998)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (999)  all_58_23 = e0
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (999) imply:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1000)  all_52_7 = e0
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (938), (1000) imply:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1001)  $false
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1001) is inconsistent.
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1002)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1003)  all_56_12 = e1
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (1003) imply:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1004)  all_52_3 = e1
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1004) implies:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1005)  all_52_3 = e1
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (188), (1005) imply:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1006)   ~ (all_52_2 = e1)
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (998) gives:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1007)  all_58_18 = e1
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (371), (1006), (1007) are inconsistent by
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #924.
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.68/24.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1008)  all_58_16 = e3 | all_58_17 = e2
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1008) gives:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1009)  all_58_17 = e2
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (955), (1009) imply:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1010)  e2 = e0
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1010) imply:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1011)  $false
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1011) is inconsistent.
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1012)  all_58_16 = e3
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (1012) imply:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1013)  all_6_2 = e3
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (550), (1013) imply:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1014)   ~ (all_52_4 = e3)
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1002) gives:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1015)  all_58_22 = e1
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (975), (1015) are inconsistent by sub-proof
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #923.
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1016)  all_58_20 = e3 | all_58_21 = e2
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (51), (52), (161), (280), (377), (386),
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (431), (453), (462), (539), (541), (564), (566),
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (570), (629), (779), (924), (966), (968), (985),
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (987), (993), (1014), (1016), (function-axioms)
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #482.
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1017)   ~ (all_56_12 = e1)
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (1017) imply:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1018)   ~ (all_52_3 = e1)
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (37), (185), (188), (291),
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (335), (351), (371), (377), (386), (407), (413),
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (463), (530), (531), (536), (539), (541), (542),
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (546), (556), (558), (564), (570), (574), (630),
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (770), (937), (953), (955), (957), (968), (975),
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (979), (981), (983), (989), (993), (1002), (1018),
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #925.
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | End of split
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | End of split
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | End of split
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | End of split
% 165.68/24.64  | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | Case 2:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | |   (1019)  all_56_8 = e0 | all_56_11 = e0
% 165.68/24.64  | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (534), (772), (941), (1019) are
% 165.68/24.64  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #912.
% 165.68/24.64  | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | End of split
% 165.68/24.64  | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | Case 2:
% 165.68/24.64  | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | |   (1020)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 165.68/24.64  | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | REF_CLOSE: (190), (289), (351), (411), (413), (431), (435),
% 165.68/24.64  | | | | | | | | | | | | | | | | |            (534), (536), (772), (931), (937), (939), (957),
% 165.68/24.64  | | | | | | | | | | | | | | | | |            (1020) are inconsistent by sub-proof #481.
% 165.68/24.64  | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | End of split
% 165.68/24.64  | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | End of split
% 165.68/24.64  | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | Case 2:
% 165.68/24.64  | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | |   (1021)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 165.68/24.64  | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (37), (51), (52), (162),
% 165.68/24.64  | | | | | | | | | | | | | | |            (179), (180), (187), (188), (190), (192), (214),
% 165.68/24.64  | | | | | | | | | | | | | | |            (239), (243), (268), (284), (285), (289), (293),
% 165.68/24.64  | | | | | | | | | | | | | | |            (332), (333), (335), (347), (348), (351), (368),
% 165.68/24.64  | | | | | | | | | | | | | | |            (371), (377), (386), (389), (395), (396), (407),
% 165.68/24.64  | | | | | | | | | | | | | | |            (411), (413), (425), (431), (439), (456), (531),
% 165.68/24.64  | | | | | | | | | | | | | | |            (535), (536), (539), (540), (541), (542), (544),
% 165.68/24.64  | | | | | | | | | | | | | | |            (552), (555), (558), (560), (564), (567), (629),
% 165.68/24.64  | | | | | | | | | | | | | | |            (770), (779), (924), (926), (931), (937), (938),
% 165.68/24.64  | | | | | | | | | | | | | | |            (940), (1021), (function-axioms) are inconsistent
% 165.68/24.64  | | | | | | | | | | | | | | |            by sub-proof #478.
% 165.68/24.64  | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | End of split
% 165.68/24.64  | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | Case 2:
% 165.68/24.64  | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | |   (1022)   ~ (all_56_15 = e0)
% 165.68/24.64  | | | | | | | | | | | | | |   (1023)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 165.68/24.64  | | | | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 165.68/24.64  | | | | | | | | | | | | | |             e0)
% 165.68/24.64  | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | ALPHA: (1023) implies:
% 165.68/24.64  | | | | | | | | | | | | | |   (1024)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 165.68/24.64  | | | | | | | | | | | | | |   (1025)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 165.68/24.64  | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | REDUCE: (533), (1022) imply:
% 165.68/24.64  | | | | | | | | | | | | | |   (1026)   ~ (all_14_2 = e0)
% 165.68/24.64  | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 165.68/24.64  | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | Case 1:
% 165.68/24.64  | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | |   (1027)  all_54_15 = e0
% 165.68/24.64  | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | REF_CLOSE: (341), (1026), (1027) are inconsistent by
% 165.68/24.64  | | | | | | | | | | | | | | |            sub-proof #910.
% 165.68/24.64  | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | Case 2:
% 165.68/24.64  | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | |   (1028)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 165.68/24.64  | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 165.68/24.64  | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | Case 1:
% 165.68/24.64  | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | |   (1029)  all_54_10 = e0
% 165.68/24.64  | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | REF_CLOSE: (530), (772), (1029) are inconsistent by sub-proof
% 165.68/24.64  | | | | | | | | | | | | | | | |            #909.
% 165.68/24.64  | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | Case 2:
% 165.68/24.64  | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | |   (1030)   ~ (all_54_10 = e0)
% 165.68/24.64  | | | | | | | | | | | | | | | |   (1031)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 165.68/24.64  | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 165.68/24.64  | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | Case 1:
% 165.68/24.64  | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | |   (1032)  all_54_5 = e0
% 165.68/24.64  | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | REF_CLOSE: (531), (926), (1032) are inconsistent by sub-proof
% 165.68/24.64  | | | | | | | | | | | | | | | | |            #983.
% 165.68/24.64  | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | Case 2:
% 165.68/24.64  | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | |   (1033)   ~ (all_54_5 = e0)
% 165.68/24.64  | | | | | | | | | | | | | | | | |   (1034)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 165.68/24.64  | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 165.68/24.64  | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | Case 1:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | |   (1035)  all_54_0 = e0
% 165.68/24.64  | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | REF_CLOSE: (532), (931), (1035) are inconsistent by sub-proof
% 165.68/24.64  | | | | | | | | | | | | | | | | | |            #984.
% 165.68/24.64  | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | Case 2:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | |   (1036)   ~ (all_54_0 = e0)
% 165.68/24.64  | | | | | | | | | | | | | | | | | |   (1037)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 165.68/24.64  | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | Case 1:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | |   (1038)  all_56_6 = e0
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (1038) imply:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | |   (1039)  all_52_2 = e0
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (1039) imply:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | |   (1040)  all_58_18 = e0
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | REDUCE: (188), (1039) imply:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | |   (1041)   ~ (all_52_3 = e0)
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | SIMP: (1041) implies:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | |   (1042)   ~ (all_52_3 = e0)
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | REDUCE: (187), (1039) imply:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | |   (1043)   ~ (all_52_6 = e0)
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | SIMP: (1043) implies:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | |   (1044)   ~ (all_52_6 = e0)
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | REDUCE: (185), (1039) imply:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | |   (1045)   ~ (all_52_14 = e0)
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | SIMP: (1045) implies:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | |   (1046)   ~ (all_52_14 = e0)
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | REDUCE: (556), (1039) imply:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | |   (1047)   ~ (all_10_2 = e0)
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | REDUCE: (546), (1039) imply:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | |   (1048)   ~ (all_6_2 = e0)
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | REDUCE: (207), (1039) imply:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | |   (1049)  op(e1, e3) = e0
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | Case 1:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | |   (1050)  all_56_1 = e0
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (1050) imply:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | |   (1051)  all_52_4 = e0
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (1051) imply:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | |   (1052)  all_58_20 = e0
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (1051) imply:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | |   (1053)   ~ (all_52_7 = e0)
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | SIMP: (1053) implies:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | |   (1054)   ~ (all_52_7 = e0)
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (1051) imply:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | |   (1055)   ~ (all_52_12 = e0)
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | SIMP: (1055) implies:
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | |   (1056)   ~ (all_52_12 = e0)
% 165.68/24.64  | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (52), (154), (156),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | |            (161), (170), (189), (190), (209), (242), (244),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | |            (270), (275), (280), (282), (292), (331), (333),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | |            (335), (356), (358), (368), (374), (386), (389),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | |            (390), (407), (411), (425), (431), (439), (441),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | |            (448), (453), (533), (534), (536), (537), (538),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | |            (540), (542), (544), (555), (560), (566), (570),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | |            (577), (623), (687), (929), (933), (1025), (1038),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | |            (1040), (1042), (1046), (1050), (1052), (1054),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | |            (1056), (function-axioms) are inconsistent by
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | |            sub-proof #473.
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | Case 2:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | |   (1057)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (42), (52), (161), (162),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | |            (164), (165), (167), (169), (170), (172), (178),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | |            (179), (180), (184), (189), (190), (192), (213),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | |            (239), (244), (247), (267), (270), (275), (277),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | |            (290), (293), (295), (331), (332), (335), (347),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | |            (348), (351), (356), (374), (377), (389), (390),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | |            (395), (396), (407), (425), (429), (431), (435),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | |            (439), (441), (446), (448), (456), (530), (532),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | |            (533), (534), (535), (536), (537), (538), (539),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | |            (542), (544), (548), (550), (552), (554), (557),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | |            (567), (569), (570), (572), (574), (576), (577),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | |            (620), (628), (772), (774), (779), (926), (931),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | |            (933), (1025), (1031), (1037), (1038), (1040),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | |            (1044), (1046), (1049), (1057), (function-axioms)
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #840.
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | End of split
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | Case 2:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | |   (1058)   ~ (all_56_6 = e0)
% 165.68/24.65  | | | | | | | | | | | | | | | | | | |   (1059)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | REDUCE: (413), (1058) imply:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | |   (1060)   ~ (all_52_2 = e0)
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | Case 1:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | |   (1061)  all_56_0 = e0
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (1061) imply:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | |   (1062)  all_6_2 = e0
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | REDUCE: (931), (1062) imply:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | |   (1063)  $false
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | CLOSE: (1063) is inconsistent.
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | Case 2:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | |   (1064)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | |   (1065)  all_54_8 = e0
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (1060), (1065) are inconsistent by
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | |            sub-proof #839.
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | |   (1066)   ~ (all_54_8 = e0)
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | |   (1067)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | |   (1068)  all_56_2 = e0
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (1068) imply:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | |   (1069)  all_52_1 = e0
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (1069) imply:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | |   (1070)  all_58_17 = e0
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (1069) imply:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | |   (1071)   ~ (all_52_3 = e0)
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | SIMP: (1071) implies:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | |   (1072)   ~ (all_52_3 = e0)
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (1069) imply:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | |   (1073)   ~ (all_52_9 = e0)
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | SIMP: (1073) implies:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | |   (1074)   ~ (all_52_9 = e0)
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (189), (1069) imply:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | |   (1075)   ~ (all_52_13 = e0)
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | SIMP: (1075) implies:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | |   (1076)   ~ (all_52_13 = e0)
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (1069) imply:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | |   (1077)   ~ (all_6_2 = e0)
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (211), (1069) imply:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | |   (1078)  op(e2, e3) = e0
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | |   (1079)  all_56_4 = e0
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (1079) imply:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | |   (1080)  all_52_8 = e0
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (1080) imply:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | |   (1081)  all_58_24 = e0
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (1080) imply:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | |   (1082)   ~ (all_52_11 = e0)
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1082) implies:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | |   (1083)   ~ (all_52_11 = e0)
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (1080) imply:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | |   (1084)   ~ (all_52_12 = e0)
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1084) implies:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | |   (1085)   ~ (all_52_12 = e0)
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (621), (1080) imply:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | |   (1086)  op(e3, e0) = all_58_2
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (62), (154), (156),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | |            (161), (162), (169), (184), (185), (188), (212),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | |            (236), (269), (270), (271), (272), (278), (293),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | |            (331), (332), (334), (335), (347), (348), (351),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | |            (356), (371), (374), (377), (386), (390), (407),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | |            (431), (435), (439), (441), (465), (532), (533),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | |            (534), (536), (537), (538), (539), (540), (542),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | |            (546), (548), (554), (556), (557), (564), (572),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | |            (575), (578), (777), (933), (1024), (1025),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | |            (1037), (1070), (1072), (1074), (1076), (1079),
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | |            (1081), (1083), (1085), (1086), (function-axioms)
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #801.
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | |   (1087)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1087) gives:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | |   (1088)  all_56_5 = e0
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (1088) imply:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | |   (1089)  all_52_9 = e0
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1074), (1089) imply:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | |   (1090)  $false
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1090) is inconsistent.
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | |   (1091)  all_56_8 = e0 | all_56_14 = e0
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1091) gives:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (1092)  all_56_8 = e0
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (534), (772), (1092) are inconsistent by sub-proof
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | |            #916.
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (1093)  all_56_14 = e0
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (1093) imply:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (1094)  all_52_11 = e0
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1094) implies:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (1095)  all_52_11 = e0
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (1095) imply:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (1096)   ~ (all_52_8 = e0)
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (572), (1095) imply:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (1097)   ~ (all_10_2 = e0)
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1098)  all_56_1 = e0
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (1098) imply:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1099)  all_52_4 = e0
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (1099) imply:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1100)  all_58_20 = e0
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (1099) imply:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1101)   ~ (all_52_7 = e0)
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1101) implies:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1102)   ~ (all_52_7 = e0)
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (1099) imply:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1103)   ~ (all_52_12 = e0)
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1103) implies:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1104)   ~ (all_52_12 = e0)
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (214), (1099) imply:
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1105)  op(e3, e2) = e0
% 165.68/24.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (42), (154),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (164), (185), (187), (241),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            (242), (280), (284), (291), (292), (294), (331),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            (333), (335), (351), (356), (368), (371), (374),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (390), (407), (413), (429), (431), (439),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            (441), (453), (462), (531), (535), (536), (537),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            (538), (540), (542), (546), (548), (560), (564),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            (566), (578), (625), (770), (774), (931), (1025),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            (1034), (1068), (1070), (1072), (1074), (1076),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            (1078), (1098), (1100), (1102), (1104), (1105),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            #697.
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1106)   ~ (all_56_1 = e0)
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (396), (1106) imply:
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1107)   ~ (all_52_4 = e0)
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (52), (156), (164),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            (172), (178), (180), (185), (187), (188), (213),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            (246), (247), (267), (268), (270), (279), (290),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            (291), (331), (333), (335), (348), (351), (356),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            (368), (371), (374), (386), (390), (396), (407),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            (413), (425), (429), (439), (441), (446), (451),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            (511), (530), (533), (534), (536), (537), (538),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            (540), (541), (542), (546), (550), (552), (554),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            (558), (560), (562), (569), (574), (576), (577),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            (620), (676), (772), (920), (931), (933), (1031),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            (1059), (1068), (1070), (1072), (1093), (1096),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            (1107), (function-axioms) are inconsistent by
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #469.
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | |   (1108)   ~ (all_56_2 = e0)
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | |   (1109)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (411), (1108) imply:
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | |   (1110)   ~ (all_52_1 = e0)
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (43), (154),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | |            (183), (184), (185), (187), (189), (190), (193),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (209), (211), (234), (235), (244),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | |            (245), (246), (247), (267), (268), (270), (272),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | |            (275), (276), (277), (278), (282), (284), (285),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | |            (286), (288), (290), (291), (292), (293), (294),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | |            (295), (331), (332), (333), (334), (341), (347),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | |            (348), (351), (356), (368), (371), (374), (377),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | |            (386), (389), (390), (395), (396), (407), (411),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | |            (413), (425), (429), (431), (435), (439), (441),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | |            (446), (448), (451), (455), (460), (466), (468),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | |            (531), (532), (533), (534), (535), (536), (537),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | |            (538), (539), (540), (541), (542), (544), (546),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | |            (548), (550), (552), (554), (555), (556), (558),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | |            (560), (562), (564), (566), (567), (568), (569),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | |            (570), (572), (574), (575), (576), (577), (578),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | |            (771), (772), (774), (926), (1025), (1028),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | |            (1034), (1037), (1059), (1060), (1064), (1067),
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | |            (1109), (1110), (function-axioms) are inconsistent
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #715.
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | End of split
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | End of split
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | End of split
% 165.68/24.66  | | | | | | | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | | | | | | End of split
% 165.68/24.66  | | | | | | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | | | | | End of split
% 165.68/24.66  | | | | | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | | | | End of split
% 165.68/24.66  | | | | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | | | End of split
% 165.68/24.66  | | | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | | End of split
% 165.68/24.66  | | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | End of split
% 165.68/24.66  | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | Case 2:
% 165.68/24.66  | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | |   (1111)  all_48_2 = e1
% 165.68/24.66  | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | COMBINE_EQS: (478), (1111) imply:
% 165.68/24.66  | | | | | | | | | | | | |   (1112)  all_14_2 = e1
% 165.68/24.66  | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | SIMP: (1112) implies:
% 165.68/24.66  | | | | | | | | | | | | |   (1113)  all_14_2 = e1
% 165.68/24.66  | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | COMBINE_EQS: (525), (1113) imply:
% 165.68/24.66  | | | | | | | | | | | | |   (1114)  all_50_2 = e1
% 165.68/24.66  | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | COMBINE_EQS: (533), (1113) imply:
% 165.68/24.66  | | | | | | | | | | | | |   (1115)  all_56_15 = e1
% 165.68/24.66  | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | COMBINE_EQS: (537), (1113) imply:
% 165.68/24.66  | | | | | | | | | | | | |   (1116)  all_58_31 = e1
% 165.68/24.66  | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | REDUCE: (557), (1113) imply:
% 165.68/24.66  | | | | | | | | | | | | |   (1117)   ~ (all_52_3 = e1)
% 165.68/24.66  | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | REDUCE: (568), (1113) imply:
% 165.68/24.66  | | | | | | | | | | | | |   (1118)   ~ (all_52_7 = e1)
% 165.68/24.66  | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | REDUCE: (575), (1113) imply:
% 165.68/24.66  | | | | | | | | | | | | |   (1119)   ~ (all_52_11 = e1)
% 165.68/24.66  | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | REDUCE: (576), (1113) imply:
% 165.68/24.66  | | | | | | | | | | | | |   (1120)   ~ (all_52_12 = e1)
% 165.68/24.66  | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | REDUCE: (577), (1113) imply:
% 165.68/24.66  | | | | | | | | | | | | |   (1121)   ~ (all_52_13 = e1)
% 165.68/24.66  | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | REDUCE: (578), (1113) imply:
% 165.68/24.66  | | | | | | | | | | | | |   (1122)   ~ (all_52_14 = e1)
% 165.68/24.66  | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | REDUCE: (63), (1113) imply:
% 165.68/24.66  | | | | | | | | | | | | |   (1123)  op(all_14_1, e1) = all_14_0
% 165.68/24.66  | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | REDUCE: (62), (1113) imply:
% 165.68/24.66  | | | | | | | | | | | | |   (1124)  op(e1, e0) = all_14_1
% 165.68/24.66  | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | REDUCE: (634), (1113) imply:
% 165.68/24.66  | | | | | | | | | | | | |   (1125)  op(e0, e1) = all_58_15
% 165.68/24.66  | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (42), (43),
% 165.68/24.66  | | | | | | | | | | | | |            (150), (154), (156), (157), (161), (162), (164),
% 165.68/24.66  | | | | | | | | | | | | |            (165), (167), (169), (170), (172), (177), (178),
% 165.68/24.66  | | | | | | | | | | | | |            (179), (180), (183), (184), (185), (187), (188),
% 165.68/24.66  | | | | | | | | | | | | |            (189), (190), (192), (193), (201), (204), (206),
% 165.68/24.66  | | | | | | | | | | | | |            (207), (209), (211), (213), (214), (234), (235),
% 165.68/24.66  | | | | | | | | | | | | |            (236), (237), (239), (240), (241), (242), (243),
% 165.68/24.66  | | | | | | | | | | | | |            (244), (245), (246), (247), (248), (266), (268),
% 165.68/24.66  | | | | | | | | | | | | |            (269), (270), (271), (273), (274), (275), (276),
% 165.68/24.66  | | | | | | | | | | | | |            (277), (279), (280), (281), (282), (284), (285),
% 165.68/24.66  | | | | | | | | | | | | |            (286), (289), (290), (291), (292), (293), (294),
% 165.68/24.66  | | | | | | | | | | | | |            (295), (331), (332), (333), (335), (347), (348),
% 165.68/24.66  | | | | | | | | | | | | |            (351), (356), (368), (371), (374), (377), (386),
% 165.68/24.66  | | | | | | | | | | | | |            (389), (390), (395), (396), (407), (411), (413),
% 165.68/24.66  | | | | | | | | | | | | |            (425), (429), (431), (435), (439), (441), (446),
% 165.68/24.66  | | | | | | | | | | | | |            (448), (451), (453), (455), (456), (460), (462),
% 165.68/24.66  | | | | | | | | | | | | |            (463), (465), (466), (468), (531), (532), (533),
% 165.68/24.66  | | | | | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 165.68/24.66  | | | | | | | | | | | | |            (541), (542), (544), (546), (548), (550), (552),
% 165.68/24.66  | | | | | | | | | | | | |            (554), (555), (556), (558), (560), (562), (564),
% 165.68/24.66  | | | | | | | | | | | | |            (566), (567), (568), (569), (570), (572), (574),
% 165.68/24.66  | | | | | | | | | | | | |            (576), (578), (620), (625), (628), (692), (769),
% 165.68/24.66  | | | | | | | | | | | | |            (770), (771), (772), (774), (926), (931), (1114),
% 165.68/24.66  | | | | | | | | | | | | |            (1115), (1116), (1117), (1118), (1119), (1120),
% 165.68/24.66  | | | | | | | | | | | | |            (1121), (1122), (1123), (1124), (1125),
% 165.68/24.66  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 165.68/24.66  | | | | | | | | | | | | |            #646.
% 165.68/24.66  | | | | | | | | | | | | | 
% 165.68/24.66  | | | | | | | | | | | | End of split
% 165.68/24.66  | | | | | | | | | | | | 
% 165.68/24.67  | | | | | | | | | | | Case 2:
% 165.68/24.67  | | | | | | | | | | | | 
% 165.68/24.67  | | | | | | | | | | | |   (1126)  all_42_2 = e0
% 165.68/24.67  | | | | | | | | | | | |   (1127)   ~ (all_42_0 = e1) |  ~ (all_42_1 = e2)
% 165.68/24.67  | | | | | | | | | | | | 
% 165.68/24.67  | | | | | | | | | | | | COMBINE_EQS: (494), (1126) imply:
% 165.68/24.67  | | | | | | | | | | | |   (1128)  all_6_2 = e0
% 165.68/24.67  | | | | | | | | | | | | 
% 165.68/24.67  | | | | | | | | | | | | SIMP: (1128) implies:
% 165.68/24.67  | | | | | | | | | | | |   (1129)  all_6_2 = e0
% 165.68/24.67  | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (42), (43),
% 165.94/24.67  | | | | | | | | | | | |            (61), (62), (63), (154), (156), (157), (161),
% 165.94/24.67  | | | | | | | | | | | |            (162), (164), (165), (167), (169), (170), (172),
% 165.94/24.67  | | | | | | | | | | | |            (177), (178), (179), (180), (183), (184), (185),
% 165.94/24.67  | | | | | | | | | | | |            (187), (188), (189), (190), (192), (193), (203),
% 165.94/24.67  | | | | | | | | | | | |            (204), (206), (208), (212), (233), (234), (236),
% 165.94/24.67  | | | | | | | | | | | |            (237), (238), (239), (241), (242), (243), (244),
% 165.94/24.67  | | | | | | | | | | | |            (245), (246), (247), (266), (268), (270), (273),
% 165.94/24.67  | | | | | | | | | | | |            (274), (275), (276), (277), (278), (279), (280),
% 165.94/24.67  | | | | | | | | | | | |            (281), (282), (284), (286), (287), (291), (293),
% 165.94/24.67  | | | | | | | | | | | |            (294), (295), (330), (331), (332), (333), (334),
% 165.94/24.67  | | | | | | | | | | | |            (335), (341), (347), (348), (351), (356), (368),
% 165.94/24.67  | | | | | | | | | | | |            (371), (374), (377), (386), (389), (390), (395),
% 165.94/24.67  | | | | | | | | | | | |            (396), (407), (411), (413), (425), (429), (431),
% 165.94/24.67  | | | | | | | | | | | |            (435), (439), (441), (446), (448), (451), (453),
% 165.94/24.67  | | | | | | | | | | | |            (456), (460), (462), (463), (465), (468), (530),
% 165.94/24.67  | | | | | | | | | | | |            (531), (533), (534), (535), (536), (537), (538),
% 165.94/24.67  | | | | | | | | | | | |            (539), (540), (541), (542), (544), (546), (548),
% 165.94/24.67  | | | | | | | | | | | |            (550), (552), (554), (555), (556), (557), (558),
% 165.94/24.67  | | | | | | | | | | | |            (560), (562), (564), (566), (567), (569), (570),
% 165.94/24.67  | | | | | | | | | | | |            (572), (574), (575), (576), (577), (578), (619),
% 165.94/24.67  | | | | | | | | | | | |            (625), (626), (628), (630), (632), (633), (634),
% 165.94/24.67  | | | | | | | | | | | |            (689), (719), (770), (772), (775), (926), (1127),
% 165.94/24.67  | | | | | | | | | | | |            (1129), (function-axioms) are inconsistent by
% 165.94/24.67  | | | | | | | | | | | |            sub-proof #576.
% 165.94/24.67  | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | End of split
% 165.94/24.67  | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | End of split
% 165.94/24.67  | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | Case 2:
% 165.94/24.67  | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | |   (1130)  all_24_2 = e0
% 165.94/24.67  | | | | | | | | | |   (1131)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3)
% 165.94/24.67  | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | COMBINE_EQS: (510), (1130) imply:
% 165.94/24.67  | | | | | | | | | |   (1132)  all_4_2 = e0
% 165.94/24.67  | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | SIMP: (1132) implies:
% 165.94/24.67  | | | | | | | | | |   (1133)  all_4_2 = e0
% 165.94/24.67  | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | COMBINE_EQS: (496), (1133) imply:
% 165.94/24.67  | | | | | | | | | |   (1134)  all_40_2 = e0
% 165.94/24.67  | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | COMBINE_EQS: (535), (1133) imply:
% 165.94/24.67  | | | | | | | | | |   (1135)  all_56_3 = e0
% 165.94/24.67  | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | COMBINE_EQS: (386), (1133) imply:
% 165.94/24.67  | | | | | | | | | |   (1136)  all_58_21 = e0
% 165.94/24.67  | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | REDUCE: (555), (1133) imply:
% 165.94/24.67  | | | | | | | | | |   (1137)   ~ (all_52_1 = e0)
% 165.94/24.67  | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | REDUCE: (558), (1133) imply:
% 165.94/24.67  | | | | | | | | | |   (1138)   ~ (all_52_4 = e0)
% 165.94/24.67  | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | REDUCE: (560), (1133) imply:
% 165.94/24.67  | | | | | | | | | |   (1139)   ~ (all_52_6 = e0)
% 165.94/24.67  | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | REDUCE: (562), (1133) imply:
% 165.94/24.67  | | | | | | | | | |   (1140)   ~ (all_52_7 = e0)
% 165.94/24.67  | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | REDUCE: (564), (1133) imply:
% 165.94/24.67  | | | | | | | | | |   (1141)   ~ (all_52_9 = e0)
% 165.94/24.67  | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | REDUCE: (38), (1133) imply:
% 165.94/24.67  | | | | | | | | | |   (1142)  op(all_4_1, e0) = all_4_0
% 165.94/24.67  | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | REDUCE: (37), (1133) imply:
% 165.94/24.67  | | | | | | | | | |   (1143)  op(e0, e2) = all_4_1
% 165.94/24.67  | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | REDUCE: (624), (1133) imply:
% 165.94/24.67  | | | | | | | | | |   (1144)  op(e2, e0) = all_58_5
% 165.94/24.67  | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 165.94/24.67  | | | | | | | | | |              all_4_1, e2, e0, simplifying with (202), (1143)
% 165.94/24.67  | | | | | | | | | |              gives:
% 165.94/24.67  | | | | | | | | | |   (1145)  all_52_7 = all_4_1
% 165.94/24.67  | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 165.94/24.67  | | | | | | | | | |              all_58_5, e0, e2, simplifying with (208), (1144)
% 165.94/24.67  | | | | | | | | | |              gives:
% 165.94/24.67  | | | | | | | | | |   (1146)  all_58_5 = all_52_13
% 165.94/24.67  | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | COMBINE_EQS: (466), (1145) imply:
% 165.94/24.67  | | | | | | | | | |   (1147)  all_54_13 = all_4_1
% 165.94/24.67  | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | COMBINE_EQS: (348), (1145) imply:
% 165.94/24.67  | | | | | | | | | |   (1148)  all_56_13 = all_4_1
% 165.94/24.67  | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | COMBINE_EQS: (540), (1145) imply:
% 165.94/24.67  | | | | | | | | | |   (1149)  all_58_23 = all_4_1
% 165.94/24.67  | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | REDUCE: (184), (1145) imply:
% 165.94/24.67  | | | | | | | | | |   (1150)   ~ (all_52_3 = all_4_1)
% 165.94/24.67  | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | REDUCE: (179), (1145) imply:
% 165.94/24.67  | | | | | | | | | |   (1151)   ~ (all_52_4 = all_4_1)
% 165.94/24.67  | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | REDUCE: (172), (1145) imply:
% 165.94/24.67  | | | | | | | | | |   (1152)   ~ (all_52_6 = all_4_1)
% 165.94/24.67  | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | REDUCE: (169), (1145) imply:
% 165.94/24.67  | | | | | | | | | |   (1153)   ~ (all_52_11 = all_4_1)
% 165.94/24.67  | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | SIMP: (1153) implies:
% 165.94/24.67  | | | | | | | | | |   (1154)   ~ (all_52_11 = all_4_1)
% 165.94/24.67  | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | REDUCE: (568), (1145) imply:
% 165.94/24.67  | | | | | | | | | |   (1155)   ~ (all_14_2 = all_4_1)
% 165.94/24.67  | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | SIMP: (1155) implies:
% 165.94/24.67  | | | | | | | | | |   (1156)   ~ (all_14_2 = all_4_1)
% 165.94/24.67  | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | BETA: splitting (126) gives:
% 165.94/24.67  | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | Case 1:
% 165.94/24.67  | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | |   (1157)   ~ (all_40_2 = e0)
% 165.94/24.67  | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | REDUCE: (1134), (1157) imply:
% 165.94/24.67  | | | | | | | | | | |   (1158)  $false
% 165.94/24.67  | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | CLOSE: (1158) is inconsistent.
% 165.94/24.67  | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | Case 2:
% 165.94/24.67  | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | |   (1159)   ~ (all_40_0 = e3) |  ~ (all_40_1 = e1)
% 165.94/24.67  | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | BETA: splitting (131) gives:
% 165.94/24.67  | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | Case 1:
% 165.94/24.67  | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | |   (1160)   ~ (all_42_2 = e0)
% 165.94/24.67  | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | REDUCE: (494), (1160) imply:
% 165.94/24.67  | | | | | | | | | | | |   (1161)   ~ (all_6_2 = e0)
% 165.94/24.67  | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | BETA: splitting (266) gives:
% 165.94/24.67  | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | Case 1:
% 165.94/24.67  | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | |   (1162)  all_56_15 = e0
% 165.94/24.67  | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | COMBINE_EQS: (533), (1162) imply:
% 165.94/24.67  | | | | | | | | | | | | |   (1163)  all_14_2 = e0
% 165.94/24.67  | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | SIMP: (1163) implies:
% 165.94/24.67  | | | | | | | | | | | | |   (1164)  all_14_2 = e0
% 165.94/24.67  | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | REDUCE: (557), (1164) imply:
% 165.94/24.67  | | | | | | | | | | | | |   (1165)   ~ (all_52_3 = e0)
% 165.94/24.67  | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | REDUCE: (576), (1164) imply:
% 165.94/24.67  | | | | | | | | | | | | |   (1166)   ~ (all_52_12 = e0)
% 165.94/24.67  | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | REDUCE: (577), (1164) imply:
% 165.94/24.67  | | | | | | | | | | | | |   (1167)   ~ (all_52_13 = e0)
% 165.94/24.67  | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | REDUCE: (1156), (1164) imply:
% 165.94/24.67  | | | | | | | | | | | | |   (1168)   ~ (all_4_1 = e0)
% 165.94/24.67  | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | REDUCE: (63), (1164) imply:
% 165.94/24.67  | | | | | | | | | | | | |   (1169)  op(all_14_1, e0) = all_14_0
% 165.94/24.67  | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | REDUCE: (62), (1164) imply:
% 165.94/24.67  | | | | | | | | | | | | |   (1170)  op(e0, e0) = all_14_1
% 165.94/24.67  | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | REDUCE: (634), (1164) imply:
% 165.94/24.67  | | | | | | | | | | | | |   (1171)  op(e0, e0) = all_58_15
% 165.94/24.67  | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | REDUCE: (61), (1164) imply:
% 165.94/24.67  | | | | | | | | | | | | |   (1172)  op(e0, e0) = e0
% 165.94/24.67  | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | BETA: splitting (273) gives:
% 165.94/24.67  | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | Case 1:
% 165.94/24.67  | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | |   (1173)  all_56_6 = e0
% 165.94/24.67  | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | COMBINE_EQS: (413), (1173) imply:
% 165.94/24.67  | | | | | | | | | | | | | |   (1174)  all_52_2 = e0
% 165.94/24.67  | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | COMBINE_EQS: (371), (1174) imply:
% 165.94/24.67  | | | | | | | | | | | | | |   (1175)  all_58_18 = e0
% 165.94/24.67  | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | REDUCE: (188), (1174) imply:
% 165.94/24.67  | | | | | | | | | | | | | |   (1176)   ~ (all_52_3 = e0)
% 165.94/24.67  | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | REDUCE: (187), (1174) imply:
% 165.94/24.67  | | | | | | | | | | | | | |   (1177)   ~ (all_52_6 = e0)
% 165.94/24.67  | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | REDUCE: (546), (1174) imply:
% 165.94/24.67  | | | | | | | | | | | | | |   (1178)   ~ (all_6_2 = e0)
% 165.94/24.67  | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 165.94/24.67  | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | Case 1:
% 165.94/24.67  | | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | |   (1179)  all_56_4 = e0
% 165.94/24.67  | | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | | COMBINE_EQS: (429), (1179) imply:
% 165.94/24.67  | | | | | | | | | | | | | | |   (1180)  all_52_8 = e0
% 165.94/24.67  | | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | | COMBINE_EQS: (395), (1180) imply:
% 165.94/24.67  | | | | | | | | | | | | | | |   (1181)  all_58_24 = e0
% 165.94/24.67  | | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | | REDUCE: (167), (1180) imply:
% 165.94/24.67  | | | | | | | | | | | | | | |   (1182)   ~ (all_52_9 = e0)
% 165.94/24.67  | | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | | REDUCE: (165), (1180) imply:
% 165.94/24.67  | | | | | | | | | | | | | | |   (1183)   ~ (all_52_11 = e0)
% 165.94/24.67  | | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | | SIMP: (1183) implies:
% 165.94/24.67  | | | | | | | | | | | | | | |   (1184)   ~ (all_52_11 = e0)
% 165.94/24.67  | | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | | REDUCE: (621), (1180) imply:
% 165.94/24.67  | | | | | | | | | | | | | | |   (1185)  op(e3, e0) = all_58_2
% 165.94/24.67  | | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1,
% 165.94/24.67  | | | | | | | | | | | | | | |              all_58_15, e0, e0, simplifying with (1170), (1171)
% 165.94/24.67  | | | | | | | | | | | | | | |              gives:
% 165.94/24.67  | | | | | | | | | | | | | | |   (1186)  all_58_15 = all_14_1
% 165.94/24.67  | | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 165.94/24.67  | | | | | | | | | | | | | | |              all_58_15, e0, e0, simplifying with (1171), (1172)
% 165.94/24.67  | | | | | | | | | | | | | | |              gives:
% 165.94/24.67  | | | | | | | | | | | | | | |   (1187)  all_58_15 = e0
% 165.94/24.67  | | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 165.94/24.67  | | | | | | | | | | | | | | |              all_58_2, e0, e3, simplifying with (212), (1185)
% 165.94/24.67  | | | | | | | | | | | | | | |              gives:
% 165.94/24.67  | | | | | | | | | | | | | | |   (1188)  all_58_2 = all_52_12
% 165.94/24.67  | | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | | COMBINE_EQS: (1186), (1187) imply:
% 165.94/24.67  | | | | | | | | | | | | | | |   (1189)  all_14_1 = e0
% 165.94/24.67  | | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | | SIMP: (1189) implies:
% 165.94/24.67  | | | | | | | | | | | | | | |   (1190)  all_14_1 = e0
% 165.94/24.67  | | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | | REDUCE: (1169), (1190) imply:
% 165.94/24.67  | | | | | | | | | | | | | | |   (1191)  op(e0, e0) = all_14_0
% 165.94/24.67  | | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_14_0,
% 165.94/24.67  | | | | | | | | | | | | | | |              e0, e0, simplifying with (1172), (1191) gives:
% 165.94/24.67  | | | | | | | | | | | | | | |   (1192)  all_14_0 = e0
% 165.94/24.67  | | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | | REDUCE: (775), (1192) imply:
% 165.94/24.67  | | | | | | | | | | | | | | |   (1193)   ~ (e1 = e0)
% 165.94/24.67  | | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 165.94/24.67  | | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | | Case 1:
% 165.94/24.67  | | | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | | |   (1194)  all_54_13 = e0
% 165.94/24.67  | | | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | | | REF_CLOSE: (770), (1147), (1194) are inconsistent by
% 165.94/24.67  | | | | | | | | | | | | | | | |            sub-proof #575.
% 165.94/24.67  | | | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | | Case 2:
% 165.94/24.67  | | | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | | |   (1195)   ~ (all_54_13 = e0)
% 165.94/24.67  | | | | | | | | | | | | | | | |   (1196)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 165.94/24.67  | | | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 165.94/24.67  | | | | | | | | | | | | | | | | 
% 165.94/24.67  | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.67  | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | |   (1197)  all_54_7 = e0
% 165.94/24.68  | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (1167), (1197) are inconsistent by
% 165.94/24.68  | | | | | | | | | | | | | | | | |            sub-proof #714.
% 165.94/24.68  | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.68  | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | |   (1198)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 165.94/24.68  | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | |   (1199)  all_54_6 = e0
% 165.94/24.68  | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (1141), (1199) are inconsistent by
% 165.94/24.68  | | | | | | | | | | | | | | | | | |            sub-proof #901.
% 165.94/24.68  | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | |   (1200)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | |   (1201)  all_54_12 = e0
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (465), (1165), (1201) are inconsistent by
% 165.94/24.68  | | | | | | | | | | | | | | | | | | |            sub-proof #559.
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | |   (1202)   ~ (all_54_12 = e0)
% 165.94/24.68  | | | | | | | | | | | | | | | | | | |   (1203)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | |   (1204)  all_58_23 = e0
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1149), (1204) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | |   (1205)  all_4_1 = e0
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | REDUCE: (770), (1205) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | |   (1206)  $false
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | CLOSE: (1206) is inconsistent.
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | |   (1207)   ~ (all_58_23 = e0)
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | |   (1208)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | |   (1209)  all_58_27 = e0
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (347), (1184), (1209) are inconsistent by
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | |            sub-proof #663.
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | |   (1210)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | |   (1211)  all_58_19 = e0
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (1211) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | |   (1212)  all_52_3 = e0
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1165), (1212) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | |   (1213)  $false
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1213) is inconsistent.
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | |   (1214)   ~ (all_58_19 = e0)
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | |   (1215)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | |   (1216)  all_56_12 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (1216) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | |   (1217)  all_52_3 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1217) implies:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | |   (1218)  all_52_3 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (51), (52), (161), (189),
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | |            (190), (280), (293), (335), (377), (389), (407),
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | |            (411), (431), (453), (462), (536), (539), (542),
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | |            (544), (570), (629), (779), (924), (1165), (1173),
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | |            (1175), (1179), (1181), (1198), (1200), (1210),
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | |            (1216), (function-axioms) are inconsistent by
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #467.
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | |   (1219)   ~ (all_56_12 = e1)
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (1219) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | |   (1220)   ~ (all_52_3 = e1)
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | |   (1221)  all_56_0 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (1221) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | |   (1222)  all_6_2 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1222) implies:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | |   (1223)  all_6_2 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (1223) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | |   (1224)  all_58_16 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1215) gives:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (1225)  all_58_18 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1175), (1225) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (1226)  e1 = e0
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1226) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (1227)  $false
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1227) is inconsistent.
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (1228)  all_58_16 = e3 | all_58_17 = e2
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1228) gives:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1229)  all_58_17 = e2
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (1229) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1230)  all_52_1 = e2
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (51), (52), (161), (189), (190), (280),
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            (377), (431), (453), (462), (539), (570), (629),
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            (779), (924), (1179), (1181), (1198), (1200),
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            (1210), (1230), (function-axioms) are inconsistent
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #468.
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1231)  all_58_16 = e3
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1224), (1231) are inconsistent by sub-proof
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            #970.
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | |   (1232)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1232) gives:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (1233)  all_56_2 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (1233) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (1234)  all_52_1 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (1234) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (1235)  all_58_17 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (1234) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (1236)   ~ (all_6_2 = e1)
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1236) implies:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (1237)   ~ (all_6_2 = e1)
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1215) gives:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1238)  all_58_18 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1175), (1238) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1239)  e1 = e0
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1239) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1240)  $false
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1240) is inconsistent.
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1241)   ~ (all_58_18 = e1)
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1242)  all_58_16 = e3 | all_58_17 = e2
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1242) gives:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1243)  all_58_17 = e2
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1235), (1243) are inconsistent by sub-proof
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #466.
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1244)  all_58_16 = e3
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1245)   ~ (all_58_17 = e2)
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (1244) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1246)  all_6_2 = e3
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1235), (1245) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1247)   ~ (e2 = e1)
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (1246) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1248)   ~ (all_52_3 = e3)
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (550), (1246) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1249)   ~ (all_52_4 = e3)
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1203) gives:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1250)  all_54_12 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (465), (1250) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1251)  all_52_3 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1251) implies:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1252)  all_52_3 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (1252) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1253)  all_56_12 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (51), (52), (161), (189),
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (190), (280), (293), (335), (377), (389), (407),
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (411), (431), (453), (462), (536), (539), (542),
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (544), (570), (629), (779), (924), (1165), (1173),
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1175), (1179), (1181), (1198), (1200), (1210),
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1253), (function-axioms) are inconsistent by
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #467.
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1254)  all_54_12 = e3 | all_54_12 = e2
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1254) gives:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1255)  all_54_12 = e2
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (465), (1255) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1256)  all_52_3 = e2
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1256) implies:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1257)  all_52_3 = e2
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1150), (1257) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1258)   ~ (all_4_1 = e2)
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1258) implies:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1259)   ~ (all_4_1 = e2)
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1208) gives:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1260)  all_58_22 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (368), (1260) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1261)  all_52_6 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1152), (1261) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1262)   ~ (all_4_1 = e1)
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1262) implies:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1263)   ~ (all_4_1 = e1)
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1196) gives:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1264)  all_54_13 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1147), (1263), (1264) are inconsistent by
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #515.
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1265)  all_54_13 = e3 | all_54_13 = e2
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1266)  all_56_9 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (1266) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1267)  all_52_12 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (212), (1267) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1268)  op(e3, e0) = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (674), (755), (1131), (1142), (1147), (1259),
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1265), (1268), (function-axioms) are inconsistent
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #514.
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1269)   ~ (all_56_9 = e1)
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (390), (1269) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1270)   ~ (all_52_12 = e1)
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1271)  all_56_0 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (1271) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1272)  all_6_2 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1237), (1272) imply:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1273)  $false
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1273) is inconsistent.
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1274)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1274) gives:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1275)  all_56_1 = e1
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (1275) imply:
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1276)  all_52_4 = e1
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (1276) imply:
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1277)  all_58_20 = e1
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (180), (1276) imply:
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1278)   ~ (all_52_6 = e1)
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1278) implies:
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1279)   ~ (all_52_6 = e1)
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1280)  all_58_23 = e0
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1149), (1280) imply:
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1281)  all_4_1 = e0
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (770), (1281) imply:
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1282)  $false
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1282) is inconsistent.
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1208) gives:
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (368), (1260), (1279) are inconsistent by
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #677.
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1283)  all_58_20 = e3 | all_58_21 = e2
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (1136), (1277), (1283) are inconsistent
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #676.
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1284)  all_56_4 = e1 | all_56_9 = e1
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (390), (1179), (1270), (1284) are
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #674.
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1285)  all_58_20 = e3 | all_58_21 = e2
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (51), (52), (161), (280), (377), (386),
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (431), (453), (462), (539), (541), (564), (566),
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (570), (629), (779), (924), (1179), (1181),
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1198), (1200), (1210), (1249), (1285),
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #482.
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1286)  all_54_12 = e3
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (465), (1248), (1286) are inconsistent by
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #810.
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | |   (1287)  all_56_6 = e1 | all_56_12 = e1
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (351), (1173), (1220), (1287) are
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #933.
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.69  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.69  | | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | | End of split
% 165.94/24.69  | | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | | End of split
% 165.94/24.69  | | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | End of split
% 165.94/24.69  | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | Case 2:
% 165.94/24.69  | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | |   (1288)   ~ (all_56_4 = e0)
% 165.94/24.69  | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | REDUCE: (429), (1288) imply:
% 165.94/24.69  | | | | | | | | | | | | | | |   (1289)   ~ (all_52_8 = e0)
% 165.94/24.69  | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | | REF_CLOSE: (290), (390), (396), (429), (536), (1138), (1161),
% 165.94/24.69  | | | | | | | | | | | | | | |            (1166), (1289) are inconsistent by sub-proof #465.
% 165.94/24.69  | | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | End of split
% 165.94/24.69  | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | Case 2:
% 165.94/24.69  | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | |   (1290)   ~ (all_56_6 = e0)
% 165.94/24.69  | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | | REF_CLOSE: (289), (351), (411), (413), (536), (1137), (1161),
% 165.94/24.69  | | | | | | | | | | | | | |            (1165), (1290) are inconsistent by sub-proof #561.
% 165.94/24.69  | | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | End of split
% 165.94/24.69  | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | Case 2:
% 165.94/24.69  | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | |   (1291)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 165.94/24.69  | | | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 165.94/24.69  | | | | | | | | | | | | |             e0)
% 165.94/24.69  | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | ALPHA: (1291) implies:
% 165.94/24.69  | | | | | | | | | | | | |   (1292)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 165.94/24.69  | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (43), (61),
% 165.94/24.69  | | | | | | | | | | | | |            (154), (156), (157), (161), (162), (164), (165),
% 165.94/24.69  | | | | | | | | | | | | |            (167), (170), (177), (178), (180), (183), (185),
% 165.94/24.69  | | | | | | | | | | | | |            (187), (188), (189), (190), (192), (193), (204),
% 165.94/24.69  | | | | | | | | | | | | |            (207), (209), (212), (234), (236), (237), (238),
% 165.94/24.69  | | | | | | | | | | | | |            (240), (241), (242), (244), (245), (246), (247),
% 165.94/24.69  | | | | | | | | | | | | |            (248), (267), (270), (272), (273), (275), (276),
% 165.94/24.69  | | | | | | | | | | | | |            (279), (284), (286), (287), (289), (290), (291),
% 165.94/24.69  | | | | | | | | | | | | |            (292), (293), (295), (330), (331), (332), (333),
% 165.94/24.69  | | | | | | | | | | | | |            (334), (335), (347), (351), (356), (368), (371),
% 165.94/24.69  | | | | | | | | | | | | |            (374), (377), (386), (389), (390), (395), (396),
% 165.94/24.69  | | | | | | | | | | | | |            (407), (411), (413), (425), (429), (435), (439),
% 165.94/24.69  | | | | | | | | | | | | |            (441), (446), (448), (451), (453), (455), (460),
% 165.94/24.69  | | | | | | | | | | | | |            (462), (463), (465), (468), (530), (532), (533),
% 165.94/24.69  | | | | | | | | | | | | |            (534), (536), (537), (538), (539), (541), (542),
% 165.94/24.69  | | | | | | | | | | | | |            (544), (546), (548), (550), (552), (554), (556),
% 165.94/24.69  | | | | | | | | | | | | |            (557), (558), (567), (569), (570), (572), (574),
% 165.94/24.69  | | | | | | | | | | | | |            (576), (578), (621), (622), (627), (630), (631),
% 165.94/24.69  | | | | | | | | | | | | |            (633), (688), (740), (770), (772), (1135), (1136),
% 165.94/24.69  | | | | | | | | | | | | |            (1137), (1138), (1139), (1142), (1146), (1148),
% 165.94/24.69  | | | | | | | | | | | | |            (1149), (1150), (1151), (1152), (1154), (1159),
% 165.94/24.69  | | | | | | | | | | | | |            (1161), (1292), (function-axioms) are inconsistent
% 165.94/24.69  | | | | | | | | | | | | |            by sub-proof #521.
% 165.94/24.69  | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | End of split
% 165.94/24.69  | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | Case 2:
% 165.94/24.69  | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | |   (1293)  all_42_2 = e0
% 165.94/24.69  | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | COMBINE_EQS: (494), (1293) imply:
% 165.94/24.69  | | | | | | | | | | | |   (1294)  all_6_2 = e0
% 165.94/24.69  | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (154), (156),
% 165.94/24.69  | | | | | | | | | | | |            (157), (161), (162), (164), (165), (167), (170),
% 165.94/24.69  | | | | | | | | | | | |            (177), (178), (180), (183), (185), (187), (188),
% 165.94/24.69  | | | | | | | | | | | |            (189), (192), (193), (203), (204), (212), (235),
% 165.94/24.69  | | | | | | | | | | | |            (236), (239), (240), (241), (242), (245), (246),
% 165.94/24.69  | | | | | | | | | | | |            (247), (267), (269), (270), (271), (273), (275),
% 165.94/24.69  | | | | | | | | | | | |            (276), (277), (278), (279), (280), (283), (286),
% 165.94/24.69  | | | | | | | | | | | |            (287), (291), (292), (293), (294), (331), (333),
% 165.94/24.69  | | | | | | | | | | | |            (334), (335), (351), (356), (368), (371), (374),
% 165.94/24.69  | | | | | | | | | | | |            (377), (386), (389), (390), (395), (396), (407),
% 165.94/24.69  | | | | | | | | | | | |            (411), (413), (425), (429), (431), (435), (439),
% 165.94/24.69  | | | | | | | | | | | |            (441), (446), (451), (453), (455), (456), (460),
% 165.94/24.69  | | | | | | | | | | | |            (462), (465), (533), (534), (536), (537), (538),
% 165.94/24.69  | | | | | | | | | | | |            (539), (541), (542), (544), (546), (550), (552),
% 165.94/24.69  | | | | | | | | | | | |            (556), (557), (558), (567), (569), (570), (572),
% 165.94/24.69  | | | | | | | | | | | |            (574), (575), (576), (577), (619), (674), (688),
% 165.94/24.69  | | | | | | | | | | | |            (740), (755), (772), (1131), (1135), (1136),
% 165.94/24.69  | | | | | | | | | | | |            (1139), (1141), (1142), (1147), (1148), (1149),
% 165.94/24.69  | | | | | | | | | | | |            (1150), (1151), (1154), (1159), (1294),
% 165.94/24.69  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 165.94/24.69  | | | | | | | | | | | |            #488.
% 165.94/24.69  | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | End of split
% 165.94/24.69  | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | End of split
% 165.94/24.69  | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | End of split
% 165.94/24.69  | | | | | | | | | 
% 165.94/24.69  | | | | | | | | End of split
% 165.94/24.69  | | | | | | | | 
% 165.94/24.69  | | | | | | | Case 2:
% 165.94/24.69  | | | | | | | | 
% 165.94/24.69  | | | | | | | |   (1295)  all_20_1 = e0
% 165.94/24.69  | | | | | | | | 
% 165.94/24.69  | | | | | | | | COMBINE_EQS: (682), (1295) imply:
% 165.94/24.69  | | | | | | | |   (1296)  all_10_1 = e0
% 165.94/24.69  | | | | | | | | 
% 165.94/24.69  | | | | | | | | COMBINE_EQS: (646), (1296) imply:
% 165.94/24.69  | | | | | | | |   (1297)  all_34_1 = e0
% 165.94/24.69  | | | | | | | | 
% 165.94/24.69  | | | | | | | | REDUCE: (53), (1296) imply:
% 165.94/24.69  | | | | | | | |   (1298)  op(e0, all_10_2) = all_10_0
% 165.94/24.69  | | | | | | | | 
% 165.94/24.69  | | | | | | | | REDUCE: (52), (1296) imply:
% 165.94/24.69  | | | | | | | |   (1299)  op(all_10_2, e1) = e0
% 165.94/24.69  | | | | | | | | 
% 165.94/24.69  | | | | | | | | BETA: splitting (89) gives:
% 165.94/24.69  | | | | | | | | 
% 165.94/24.69  | | | | | | | | Case 1:
% 165.94/24.69  | | | | | | | | | 
% 165.94/24.69  | | | | | | | | |   (1300)   ~ (all_24_2 = e0)
% 165.94/24.69  | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | REDUCE: (510), (1300) imply:
% 165.94/24.69  | | | | | | | | |   (1301)   ~ (all_4_2 = e0)
% 165.94/24.69  | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | BETA: splitting (112) gives:
% 165.94/24.69  | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | Case 1:
% 165.94/24.69  | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | |   (1302)   ~ (all_34_1 = e0)
% 165.94/24.69  | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | REDUCE: (1297), (1302) imply:
% 165.94/24.69  | | | | | | | | | |   (1303)  $false
% 165.94/24.69  | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | CLOSE: (1303) is inconsistent.
% 165.94/24.69  | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | Case 2:
% 165.94/24.69  | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | |   (1304)   ~ (all_34_0 = e2) |  ~ (all_34_2 = e3)
% 165.94/24.69  | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | BETA: splitting (131) gives:
% 165.94/24.69  | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | Case 1:
% 165.94/24.69  | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | |   (1305)   ~ (all_42_2 = e0)
% 165.94/24.69  | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | REDUCE: (494), (1305) imply:
% 165.94/24.69  | | | | | | | | | | |   (1306)   ~ (all_6_2 = e0)
% 165.94/24.69  | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | BETA: splitting (145) gives:
% 165.94/24.69  | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | Case 1:
% 165.94/24.69  | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | |   (1307)   ~ (all_48_2 = e1)
% 165.94/24.69  | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | REDUCE: (478), (1307) imply:
% 165.94/24.69  | | | | | | | | | | | |   (1308)   ~ (all_14_2 = e1)
% 165.94/24.69  | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | BETA: splitting (266) gives:
% 165.94/24.69  | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | Case 1:
% 165.94/24.69  | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | |   (1309)  all_56_15 = e0
% 165.94/24.69  | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | COMBINE_EQS: (533), (1309) imply:
% 165.94/24.69  | | | | | | | | | | | | |   (1310)  all_14_2 = e0
% 165.94/24.69  | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | SIMP: (1310) implies:
% 165.94/24.69  | | | | | | | | | | | | |   (1311)  all_14_2 = e0
% 165.94/24.69  | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | REDUCE: (557), (1311) imply:
% 165.94/24.69  | | | | | | | | | | | | |   (1312)   ~ (all_52_3 = e0)
% 165.94/24.69  | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | REDUCE: (568), (1311) imply:
% 165.94/24.69  | | | | | | | | | | | | |   (1313)   ~ (all_52_7 = e0)
% 165.94/24.69  | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | REDUCE: (575), (1311) imply:
% 165.94/24.69  | | | | | | | | | | | | |   (1314)   ~ (all_52_11 = e0)
% 165.94/24.69  | | | | | | | | | | | | | 
% 165.94/24.69  | | | | | | | | | | | | | REDUCE: (577), (1311) imply:
% 165.94/24.70  | | | | | | | | | | | | |   (1315)   ~ (all_52_13 = e0)
% 165.94/24.70  | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | REDUCE: (578), (1311) imply:
% 165.94/24.70  | | | | | | | | | | | | |   (1316)   ~ (all_52_14 = e0)
% 165.94/24.70  | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | REDUCE: (63), (1311) imply:
% 165.94/24.70  | | | | | | | | | | | | |   (1317)  op(all_14_1, e0) = all_14_0
% 165.94/24.70  | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | REDUCE: (62), (1311) imply:
% 165.94/24.70  | | | | | | | | | | | | |   (1318)  op(e0, e0) = all_14_1
% 165.94/24.70  | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | REDUCE: (634), (1311) imply:
% 165.94/24.70  | | | | | | | | | | | | |   (1319)  op(e0, e0) = all_58_15
% 165.94/24.70  | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | REDUCE: (61), (1311) imply:
% 165.94/24.70  | | | | | | | | | | | | |   (1320)  op(e0, e0) = e0
% 165.94/24.70  | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (37), (41), (51),
% 165.94/24.70  | | | | | | | | | | | | |            (52), (162), (165), (167), (170), (172), (179),
% 165.94/24.70  | | | | | | | | | | | | |            (185), (187), (188), (190), (192), (193), (206),
% 165.94/24.70  | | | | | | | | | | | | |            (214), (237), (238), (243), (248), (273), (274),
% 165.94/24.70  | | | | | | | | | | | | |            (277), (281), (284), (285), (289), (291), (292),
% 165.94/24.70  | | | | | | | | | | | | |            (293), (294), (296), (330), (332), (333), (335),
% 165.94/24.70  | | | | | | | | | | | | |            (347), (348), (351), (368), (371), (377), (386),
% 165.94/24.70  | | | | | | | | | | | | |            (389), (390), (395), (396), (407), (411), (413),
% 165.94/24.70  | | | | | | | | | | | | |            (425), (429), (431), (435), (439), (441), (463),
% 165.94/24.70  | | | | | | | | | | | | |            (530), (531), (532), (534), (535), (536), (539),
% 165.94/24.70  | | | | | | | | | | | | |            (540), (541), (542), (544), (546), (548), (550),
% 165.94/24.70  | | | | | | | | | | | | |            (552), (555), (556), (558), (560), (564), (567),
% 165.94/24.70  | | | | | | | | | | | | |            (569), (570), (574), (619), (622), (624), (629),
% 165.94/24.70  | | | | | | | | | | | | |            (630), (770), (772), (775), (1301), (1306),
% 165.94/24.70  | | | | | | | | | | | | |            (1312), (1313), (1314), (1315), (1316), (1317),
% 165.94/24.70  | | | | | | | | | | | | |            (1318), (1319), (1320), (function-axioms) are
% 165.94/24.70  | | | | | | | | | | | | |            inconsistent by sub-proof #911.
% 165.94/24.70  | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | Case 2:
% 165.94/24.70  | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | |   (1321)   ~ (all_56_15 = e0)
% 165.94/24.70  | | | | | | | | | | | | |   (1322)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 165.94/24.70  | | | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 165.94/24.70  | | | | | | | | | | | | |             e0)
% 165.94/24.70  | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | ALPHA: (1322) implies:
% 165.94/24.70  | | | | | | | | | | | | |   (1323)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 165.94/24.70  | | | | | | | | | | | | |   (1324)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 165.94/24.70  | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | REDUCE: (533), (1321) imply:
% 165.94/24.70  | | | | | | | | | | | | |   (1325)   ~ (all_14_2 = e0)
% 165.94/24.70  | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | BETA: splitting (233) gives:
% 165.94/24.70  | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | Case 1:
% 165.94/24.70  | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | |   (1326)  all_54_15 = e0
% 165.94/24.70  | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | REF_CLOSE: (341), (1325), (1326) are inconsistent by
% 165.94/24.70  | | | | | | | | | | | | | |            sub-proof #910.
% 165.94/24.70  | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | Case 2:
% 165.94/24.70  | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | |   (1327)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 165.94/24.70  | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 165.94/24.70  | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | Case 1:
% 165.94/24.70  | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | |   (1328)  all_54_10 = e0
% 165.94/24.70  | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | REF_CLOSE: (530), (772), (1328) are inconsistent by sub-proof
% 165.94/24.70  | | | | | | | | | | | | | | |            #909.
% 165.94/24.70  | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | Case 2:
% 165.94/24.70  | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | |   (1329)   ~ (all_54_10 = e0)
% 165.94/24.70  | | | | | | | | | | | | | | |   (1330)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 165.94/24.70  | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 165.94/24.70  | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | Case 1:
% 165.94/24.70  | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | |   (1331)  all_54_5 = e0
% 165.94/24.70  | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | REF_CLOSE: (531), (1301), (1331) are inconsistent by
% 165.94/24.70  | | | | | | | | | | | | | | | |            sub-proof #983.
% 165.94/24.70  | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | Case 2:
% 165.94/24.70  | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | |   (1332)   ~ (all_54_5 = e0)
% 165.94/24.70  | | | | | | | | | | | | | | | |   (1333)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 165.94/24.70  | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 165.94/24.70  | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.70  | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | |   (1334)  all_54_0 = e0
% 165.94/24.70  | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | REF_CLOSE: (532), (1306), (1334) are inconsistent by
% 165.94/24.70  | | | | | | | | | | | | | | | | |            sub-proof #984.
% 165.94/24.70  | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.70  | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | |   (1335)   ~ (all_54_0 = e0)
% 165.94/24.70  | | | | | | | | | | | | | | | | |   (1336)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 165.94/24.70  | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 165.94/24.70  | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | |   (1337)  all_56_6 = e0
% 165.94/24.70  | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (1337) imply:
% 165.94/24.70  | | | | | | | | | | | | | | | | | |   (1338)  all_52_2 = e0
% 165.94/24.70  | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (1338) imply:
% 165.94/24.70  | | | | | | | | | | | | | | | | | |   (1339)  all_58_18 = e0
% 165.94/24.70  | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | REDUCE: (193), (1338) imply:
% 165.94/24.70  | | | | | | | | | | | | | | | | | |   (1340)   ~ (all_52_1 = e0)
% 165.94/24.70  | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | REDUCE: (188), (1338) imply:
% 165.94/24.70  | | | | | | | | | | | | | | | | | |   (1341)   ~ (all_52_3 = e0)
% 165.94/24.70  | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | SIMP: (1341) implies:
% 165.94/24.70  | | | | | | | | | | | | | | | | | |   (1342)   ~ (all_52_3 = e0)
% 165.94/24.70  | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | REDUCE: (187), (1338) imply:
% 165.94/24.70  | | | | | | | | | | | | | | | | | |   (1343)   ~ (all_52_6 = e0)
% 165.94/24.70  | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | SIMP: (1343) implies:
% 165.94/24.70  | | | | | | | | | | | | | | | | | |   (1344)   ~ (all_52_6 = e0)
% 165.94/24.70  | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | REDUCE: (185), (1338) imply:
% 165.94/24.70  | | | | | | | | | | | | | | | | | |   (1345)   ~ (all_52_14 = e0)
% 165.94/24.70  | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | SIMP: (1345) implies:
% 165.94/24.70  | | | | | | | | | | | | | | | | | |   (1346)   ~ (all_52_14 = e0)
% 165.94/24.70  | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | REDUCE: (556), (1338) imply:
% 165.94/24.70  | | | | | | | | | | | | | | | | | |   (1347)   ~ (all_10_2 = e0)
% 165.94/24.70  | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | REDUCE: (546), (1338) imply:
% 165.94/24.70  | | | | | | | | | | | | | | | | | |   (1348)   ~ (all_6_2 = e0)
% 165.94/24.70  | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | REDUCE: (207), (1338) imply:
% 165.94/24.70  | | | | | | | | | | | | | | | | | |   (1349)  op(e1, e3) = e0
% 165.94/24.70  | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | |   (1350)  all_56_2 = e0
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (1350) imply:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | |   (1351)  all_52_1 = e0
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | REDUCE: (1340), (1351) imply:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | |   (1352)  $false
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | CLOSE: (1352) is inconsistent.
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | |   (1353)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | |   (1354)  all_56_1 = e0
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (1354) imply:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | |   (1355)  all_52_4 = e0
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (1355) imply:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | |   (1356)  all_58_20 = e0
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (1355) imply:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | |   (1357)   ~ (all_52_7 = e0)
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | SIMP: (1357) implies:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | |   (1358)   ~ (all_52_7 = e0)
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | REDUCE: (178), (1355) imply:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | |   (1359)   ~ (all_52_8 = e0)
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | SIMP: (1359) implies:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | |   (1360)   ~ (all_52_8 = e0)
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (1355) imply:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | |   (1361)   ~ (all_52_12 = e0)
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | SIMP: (1361) implies:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | |   (1362)   ~ (all_52_12 = e0)
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | REDUCE: (214), (1355) imply:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | |   (1363)  op(e3, e2) = e0
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (156), (157),
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | |            (161), (164), (167), (170), (185), (187), (188),
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | |            (189), (190), (193), (209), (242), (244), (248),
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | |            (273), (276), (278), (280), (282), (289), (292),
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | |            (294), (296), (331), (333), (334), (335), (347),
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | |            (348), (351), (356), (368), (371), (374), (377),
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | |            (386), (389), (390), (395), (407), (411), (413),
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | |            (425), (429), (431), (435), (439), (441), (448),
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | |            (453), (530), (531), (532), (534), (535), (536),
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | |            (537), (538), (539), (540), (542), (544), (546),
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | |            (552), (554), (555), (560), (564), (566), (567),
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | |            (570), (574), (577), (622), (623), (770), (1299),
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | |            (1306), (1323), (1324), (1330), (1333), (1342),
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | |            (1346), (1353), (1354), (1356), (1358), (1360),
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | |            (1362), (1363), (function-axioms) are inconsistent
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | |            by sub-proof #449.
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | |   (1364)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1364) gives:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | |   (1365)  all_56_3 = e0
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (1365) imply:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | |   (1366)  all_4_2 = e0
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | REDUCE: (1301), (1366) imply:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | |   (1367)  $false
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | CLOSE: (1367) is inconsistent.
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | |   (1368)  all_56_7 = e0 | all_56_13 = e0
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1368) gives:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | |   (1369)  all_56_7 = e0
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (1369) imply:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | |   (1370)  all_52_6 = e0
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1344), (1370) imply:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | |   (1371)  $false
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1371) is inconsistent.
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | |   (1372)  all_56_13 = e0
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (1372) imply:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | |   (1373)  all_52_7 = e0
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | | SIMP: (1373) implies:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | |   (1374)  all_52_7 = e0
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (1374) imply:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | |   (1375)   ~ (all_52_4 = e0)
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (1374) imply:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | |   (1376)   ~ (all_52_11 = e0)
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | | SIMP: (1376) implies:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | |   (1377)   ~ (all_52_11 = e0)
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (42), (161), (162),
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | |            (164), (165), (167), (170), (189), (190), (192),
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | |            (203), (239), (244), (267), (270), (277), (290),
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | |            (293), (295), (331), (332), (335), (341), (347),
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | |            (351), (356), (374), (377), (389), (390), (395),
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | |            (396), (407), (411), (429), (431), (435), (439),
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | |            (441), (448), (456), (504), (530), (532), (533),
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | |            (534), (536), (537), (538), (539), (542), (544),
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | |            (548), (552), (554), (557), (567), (569), (570),
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | |            (572), (574), (575), (576), (577), (628), (634),
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | |            (767), (772), (774), (1298), (1304), (1306),
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | |            (1308), (1324), (1327), (1330), (1336), (1337),
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | |            (1339), (1342), (1344), (1346), (1349), (1372),
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | |            (1375), (1377), (function-axioms) are inconsistent
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #445.
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.70  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.70  | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.70  | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | |   (1378)   ~ (all_56_6 = e0)
% 165.94/24.70  | | | | | | | | | | | | | | | | | |   (1379)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 165.94/24.70  | | | | | | | | | | | | | | | | | | 
% 165.94/24.70  | | | | | | | | | | | | | | | | | | REDUCE: (413), (1378) imply:
% 165.94/24.71  | | | | | | | | | | | | | | | | | |   (1380)   ~ (all_52_2 = e0)
% 165.94/24.71  | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | |   (1381)  all_56_0 = e0
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (1381) imply:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | |   (1382)  all_6_2 = e0
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | REDUCE: (1306), (1382) imply:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | |   (1383)  $false
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | CLOSE: (1383) is inconsistent.
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | |   (1384)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | |   (1385)  all_54_8 = e0
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (1380), (1385) are inconsistent by
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | |            sub-proof #839.
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | |   (1386)   ~ (all_54_8 = e0)
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | |   (1387)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |   (1388)  all_56_2 = e0
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (1388) imply:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |   (1389)  all_52_1 = e0
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (1389) imply:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |   (1390)  all_58_17 = e0
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (1389) imply:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |   (1391)   ~ (all_52_3 = e0)
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | SIMP: (1391) implies:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |   (1392)   ~ (all_52_3 = e0)
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (1389) imply:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |   (1393)   ~ (all_52_9 = e0)
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | SIMP: (1393) implies:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |   (1394)   ~ (all_52_9 = e0)
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | REDUCE: (189), (1389) imply:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |   (1395)   ~ (all_52_13 = e0)
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | SIMP: (1395) implies:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |   (1396)   ~ (all_52_13 = e0)
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (1389) imply:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |   (1397)   ~ (all_6_2 = e0)
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | |   (1398)  all_56_4 = e0
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (1398) imply:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | |   (1399)  all_52_8 = e0
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (1399) imply:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | |   (1400)  all_58_24 = e0
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (1399) imply:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | |   (1401)   ~ (all_52_11 = e0)
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | SIMP: (1401) implies:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | |   (1402)   ~ (all_52_11 = e0)
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (1399) imply:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | |   (1403)   ~ (all_52_12 = e0)
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | SIMP: (1403) implies:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | |   (1404)   ~ (all_52_12 = e0)
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (621), (1399) imply:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | |   (1405)  op(e3, e0) = all_58_2
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (62), (154), (156),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | |            (161), (162), (169), (184), (185), (188), (212),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | |            (236), (269), (270), (271), (272), (278), (293),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | |            (331), (332), (334), (335), (347), (348), (351),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | |            (356), (371), (374), (377), (386), (390), (407),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | |            (431), (435), (439), (441), (465), (532), (533),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | |            (534), (536), (537), (538), (539), (540), (542),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | |            (546), (548), (554), (556), (557), (564), (572),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | |            (575), (578), (777), (1308), (1323), (1324),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | |            (1336), (1390), (1392), (1394), (1396), (1398),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | |            (1400), (1402), (1404), (1405), (function-axioms)
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #801.
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | |   (1406)   ~ (all_56_4 = e0)
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (429), (1406) imply:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | |   (1407)   ~ (all_52_8 = e0)
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | |   (1408)  all_56_1 = e0
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (42), (154),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (164), (177), (179), (185),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | |            (187), (189), (190), (192), (211), (214), (241),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | |            (242), (280), (281), (284), (291), (292), (294),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | |            (331), (333), (335), (351), (356), (368), (371),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | |            (374), (386), (389), (390), (396), (407), (411),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | |            (413), (429), (431), (439), (441), (453), (462),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | |            (531), (535), (536), (537), (538), (540), (541),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | |            (542), (544), (546), (548), (558), (560), (564),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | |            (566), (578), (625), (770), (774), (1324), (1333),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | |            (1394), (1396), (1408), (function-axioms) are
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #693.
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | |   (1409)   ~ (all_56_1 = e0)
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (396), (1409) imply:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | |   (1410)   ~ (all_52_4 = e0)
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | |   (1411)  all_56_0 = e0
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (1411) imply:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | |   (1412)  all_6_2 = e0
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1306), (1412) imply:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | |   (1413)  $false
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1413) is inconsistent.
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | |   (1414)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (156), (164), (172),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | |            (178), (180), (185), (187), (188), (213), (246),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | |            (247), (267), (270), (271), (279), (286), (291),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | |            (293), (331), (333), (335), (351), (356), (368),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | |            (371), (374), (386), (390), (396), (407), (413),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | |            (425), (429), (439), (441), (446), (451), (530),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | |            (533), (534), (536), (537), (538), (540), (541),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | |            (542), (546), (550), (552), (554), (558), (566),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | |            (569), (574), (576), (577), (620), (772), (1299),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | |            (1308), (1330), (1379), (1388), (1390), (1392),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | |            (1407), (1410), (1414), (function-axioms) are
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #439.
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |   (1415)   ~ (all_56_2 = e0)
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |   (1416)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | REDUCE: (411), (1415) imply:
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |   (1417)   ~ (all_52_1 = e0)
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (43), (154),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |            (183), (184), (185), (187), (189), (190), (193),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |            (206), (207), (209), (211), (234), (235), (244),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |            (245), (246), (247), (267), (268), (270), (272),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |            (275), (276), (277), (278), (282), (284), (285),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |            (286), (288), (290), (291), (292), (293), (294),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |            (295), (331), (332), (333), (334), (341), (347),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |            (348), (351), (356), (368), (371), (374), (377),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |            (386), (389), (390), (395), (396), (407), (411),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |            (413), (425), (429), (431), (435), (439), (441),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |            (446), (448), (451), (455), (460), (466), (468),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |            (531), (532), (533), (534), (535), (536), (537),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |            (538), (539), (540), (541), (542), (544), (546),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |            (548), (550), (552), (554), (555), (556), (558),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |            (560), (562), (564), (566), (567), (568), (569),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |            (570), (572), (574), (575), (576), (577), (578),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |            (771), (772), (774), (1301), (1324), (1327),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |            (1333), (1336), (1379), (1380), (1384), (1387),
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |            (1416), (1417), (function-axioms) are inconsistent
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #715.
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.71  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.71  | | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | | End of split
% 165.94/24.71  | | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | | End of split
% 165.94/24.71  | | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | | End of split
% 165.94/24.71  | | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | | End of split
% 165.94/24.71  | | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | | End of split
% 165.94/24.71  | | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | End of split
% 165.94/24.71  | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | Case 2:
% 165.94/24.71  | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | |   (1418)  all_48_2 = e1
% 165.94/24.71  | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (42), (43),
% 165.94/24.71  | | | | | | | | | | | |            (62), (63), (150), (154), (156), (157), (161),
% 165.94/24.71  | | | | | | | | | | | |            (162), (164), (165), (167), (169), (170), (172),
% 165.94/24.71  | | | | | | | | | | | |            (177), (178), (179), (180), (183), (184), (185),
% 165.94/24.71  | | | | | | | | | | | |            (187), (188), (189), (190), (192), (193), (201),
% 165.94/24.71  | | | | | | | | | | | |            (204), (206), (207), (209), (211), (213), (214),
% 165.94/24.71  | | | | | | | | | | | |            (234), (235), (236), (237), (239), (240), (241),
% 165.94/24.71  | | | | | | | | | | | |            (242), (243), (244), (245), (246), (247), (248),
% 165.94/24.71  | | | | | | | | | | | |            (266), (268), (269), (270), (271), (273), (274),
% 165.94/24.71  | | | | | | | | | | | |            (275), (276), (277), (279), (280), (281), (282),
% 165.94/24.71  | | | | | | | | | | | |            (284), (285), (286), (289), (290), (291), (292),
% 165.94/24.71  | | | | | | | | | | | |            (293), (294), (295), (331), (332), (333), (335),
% 165.94/24.71  | | | | | | | | | | | |            (347), (348), (351), (356), (368), (371), (374),
% 165.94/24.71  | | | | | | | | | | | |            (377), (386), (389), (390), (395), (396), (407),
% 165.94/24.71  | | | | | | | | | | | |            (411), (413), (425), (429), (431), (435), (439),
% 165.94/24.71  | | | | | | | | | | | |            (441), (446), (448), (451), (453), (455), (456),
% 165.94/24.71  | | | | | | | | | | | |            (460), (462), (463), (465), (466), (468), (478),
% 165.94/24.71  | | | | | | | | | | | |            (525), (531), (532), (533), (534), (535), (536),
% 165.94/24.71  | | | | | | | | | | | |            (537), (538), (539), (540), (541), (542), (544),
% 165.94/24.71  | | | | | | | | | | | |            (546), (548), (550), (552), (554), (555), (556),
% 165.94/24.71  | | | | | | | | | | | |            (557), (558), (560), (562), (564), (566), (567),
% 165.94/24.71  | | | | | | | | | | | |            (568), (569), (570), (572), (574), (575), (576),
% 165.94/24.71  | | | | | | | | | | | |            (577), (578), (620), (625), (628), (634), (692),
% 165.94/24.71  | | | | | | | | | | | |            (769), (770), (771), (772), (774), (1301), (1306),
% 165.94/24.71  | | | | | | | | | | | |            (1418), (function-axioms) are inconsistent by
% 165.94/24.71  | | | | | | | | | | | |            sub-proof #645.
% 165.94/24.71  | | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | End of split
% 165.94/24.71  | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | Case 2:
% 165.94/24.71  | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | |   (1419)  all_42_2 = e0
% 165.94/24.71  | | | | | | | | | | |   (1420)   ~ (all_42_0 = e1) |  ~ (all_42_1 = e2)
% 165.94/24.71  | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | COMBINE_EQS: (494), (1419) imply:
% 165.94/24.71  | | | | | | | | | | |   (1421)  all_6_2 = e0
% 165.94/24.71  | | | | | | | | | | | 
% 165.94/24.71  | | | | | | | | | | | SIMP: (1421) implies:
% 165.94/24.72  | | | | | | | | | | |   (1422)  all_6_2 = e0
% 165.94/24.72  | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (42), (43),
% 165.94/24.72  | | | | | | | | | | |            (61), (62), (63), (154), (156), (157), (161),
% 165.94/24.72  | | | | | | | | | | |            (162), (164), (165), (167), (169), (170), (172),
% 165.94/24.72  | | | | | | | | | | |            (177), (178), (179), (180), (183), (184), (185),
% 165.94/24.72  | | | | | | | | | | |            (187), (188), (189), (190), (192), (193), (203),
% 165.94/24.72  | | | | | | | | | | |            (204), (206), (208), (212), (233), (234), (236),
% 165.94/24.72  | | | | | | | | | | |            (237), (238), (239), (241), (242), (243), (244),
% 165.94/24.72  | | | | | | | | | | |            (245), (246), (247), (266), (268), (270), (273),
% 165.94/24.72  | | | | | | | | | | |            (274), (275), (276), (277), (278), (279), (280),
% 165.94/24.72  | | | | | | | | | | |            (281), (282), (284), (286), (287), (291), (293),
% 165.94/24.72  | | | | | | | | | | |            (294), (295), (330), (331), (332), (333), (334),
% 165.94/24.72  | | | | | | | | | | |            (335), (341), (347), (348), (351), (356), (368),
% 165.94/24.72  | | | | | | | | | | |            (371), (374), (377), (386), (389), (390), (395),
% 165.94/24.72  | | | | | | | | | | |            (396), (407), (411), (413), (425), (429), (431),
% 165.94/24.72  | | | | | | | | | | |            (435), (439), (441), (446), (448), (451), (453),
% 165.94/24.72  | | | | | | | | | | |            (456), (460), (462), (463), (465), (468), (530),
% 165.94/24.72  | | | | | | | | | | |            (531), (533), (534), (535), (536), (537), (538),
% 165.94/24.72  | | | | | | | | | | |            (539), (540), (541), (542), (544), (546), (548),
% 165.94/24.72  | | | | | | | | | | |            (550), (552), (554), (555), (556), (557), (558),
% 165.94/24.72  | | | | | | | | | | |            (560), (562), (564), (566), (567), (569), (570),
% 165.94/24.72  | | | | | | | | | | |            (572), (574), (575), (576), (577), (578), (619),
% 165.94/24.72  | | | | | | | | | | |            (625), (626), (628), (630), (632), (633), (634),
% 165.94/24.72  | | | | | | | | | | |            (689), (719), (770), (772), (775), (1301), (1420),
% 165.94/24.72  | | | | | | | | | | |            (1422), (function-axioms) are inconsistent by
% 165.94/24.72  | | | | | | | | | | |            sub-proof #576.
% 165.94/24.72  | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | End of split
% 165.94/24.72  | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | End of split
% 165.94/24.72  | | | | | | | | | 
% 165.94/24.72  | | | | | | | | Case 2:
% 165.94/24.72  | | | | | | | | | 
% 165.94/24.72  | | | | | | | | |   (1423)  all_24_2 = e0
% 165.94/24.72  | | | | | | | | |   (1424)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3)
% 165.94/24.72  | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | COMBINE_EQS: (510), (1423) imply:
% 165.94/24.72  | | | | | | | | |   (1425)  all_4_2 = e0
% 165.94/24.72  | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | SIMP: (1425) implies:
% 165.94/24.72  | | | | | | | | |   (1426)  all_4_2 = e0
% 165.94/24.72  | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (38), (42),
% 165.94/24.72  | | | | | | | | |            (43), (61), (62), (63), (126), (131), (154), (156),
% 165.94/24.72  | | | | | | | | |            (157), (161), (162), (164), (165), (167), (169),
% 165.94/24.72  | | | | | | | | |            (170), (172), (177), (178), (179), (180), (183),
% 165.94/24.72  | | | | | | | | |            (184), (185), (187), (188), (189), (190), (192),
% 165.94/24.72  | | | | | | | | |            (193), (202), (203), (204), (207), (208), (209),
% 165.94/24.72  | | | | | | | | |            (212), (234), (235), (236), (237), (238), (239),
% 165.94/24.72  | | | | | | | | |            (240), (241), (242), (244), (245), (246), (247),
% 165.94/24.72  | | | | | | | | |            (248), (266), (267), (269), (270), (271), (272),
% 165.94/24.72  | | | | | | | | |            (273), (275), (276), (277), (278), (279), (280),
% 165.94/24.72  | | | | | | | | |            (283), (284), (286), (287), (288), (289), (290),
% 165.94/24.72  | | | | | | | | |            (291), (292), (293), (294), (295), (330), (331),
% 165.94/24.72  | | | | | | | | |            (332), (333), (334), (335), (347), (348), (351),
% 165.94/24.72  | | | | | | | | |            (356), (368), (371), (374), (377), (386), (389),
% 165.94/24.72  | | | | | | | | |            (390), (395), (396), (407), (411), (413), (425),
% 165.94/24.72  | | | | | | | | |            (429), (431), (435), (439), (441), (446), (448),
% 165.94/24.72  | | | | | | | | |            (451), (453), (455), (456), (460), (462), (463),
% 165.94/24.72  | | | | | | | | |            (465), (466), (468), (494), (496), (530), (532),
% 165.94/24.72  | | | | | | | | |            (533), (534), (535), (536), (537), (538), (539),
% 165.94/24.72  | | | | | | | | |            (540), (541), (542), (544), (546), (548), (550),
% 165.94/24.72  | | | | | | | | |            (552), (554), (555), (556), (557), (558), (560),
% 165.94/24.72  | | | | | | | | |            (562), (564), (567), (568), (569), (570), (572),
% 165.94/24.72  | | | | | | | | |            (574), (575), (576), (577), (578), (619), (621),
% 165.94/24.72  | | | | | | | | |            (622), (624), (627), (630), (631), (633), (634),
% 165.94/24.72  | | | | | | | | |            (674), (688), (740), (755), (772), (775), (1424),
% 165.94/24.72  | | | | | | | | |            (1426), (function-axioms) are inconsistent by
% 165.94/24.72  | | | | | | | | |            sub-proof #438.
% 165.94/24.72  | | | | | | | | | 
% 165.94/24.72  | | | | | | | | End of split
% 165.94/24.72  | | | | | | | | 
% 165.94/24.72  | | | | | | | End of split
% 165.94/24.72  | | | | | | | 
% 165.94/24.72  | | | | | | Case 2:
% 165.94/24.72  | | | | | | | 
% 165.94/24.72  | | | | | | |   (1427)  all_18_1 = e1
% 165.94/24.72  | | | | | | | 
% 165.94/24.72  | | | | | | | COMBINE_EQS: (650), (1427) imply:
% 165.94/24.72  | | | | | | |   (1428)  all_14_1 = e1
% 165.94/24.72  | | | | | | | 
% 165.94/24.72  | | | | | | | COMBINE_EQS: (686), (1428) imply:
% 165.94/24.72  | | | | | | |   (1429)  all_28_1 = e1
% 165.94/24.72  | | | | | | | 
% 165.94/24.72  | | | | | | | REDUCE: (63), (1428) imply:
% 165.94/24.72  | | | | | | |   (1430)  op(e1, all_14_2) = all_14_0
% 165.94/24.72  | | | | | | | 
% 165.94/24.72  | | | | | | | REDUCE: (62), (1428) imply:
% 165.94/24.72  | | | | | | |   (1431)  op(all_14_2, e0) = e1
% 165.94/24.72  | | | | | | | 
% 165.94/24.72  | | | | | | | BETA: splitting (89) gives:
% 165.94/24.72  | | | | | | | 
% 165.94/24.72  | | | | | | | Case 1:
% 165.94/24.72  | | | | | | | | 
% 165.94/24.72  | | | | | | | |   (1432)   ~ (all_24_2 = e0)
% 165.94/24.72  | | | | | | | | 
% 165.94/24.72  | | | | | | | | REDUCE: (510), (1432) imply:
% 165.94/24.72  | | | | | | | |   (1433)   ~ (all_4_2 = e0)
% 165.94/24.72  | | | | | | | | 
% 165.94/24.72  | | | | | | | | BETA: splitting (99) gives:
% 165.94/24.72  | | | | | | | | 
% 165.94/24.72  | | | | | | | | Case 1:
% 165.94/24.72  | | | | | | | | | 
% 165.94/24.72  | | | | | | | | |   (1434)   ~ (all_28_1 = e1)
% 165.94/24.72  | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | REDUCE: (1429), (1434) imply:
% 165.94/24.72  | | | | | | | | |   (1435)  $false
% 165.94/24.72  | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | CLOSE: (1435) is inconsistent.
% 165.94/24.72  | | | | | | | | | 
% 165.94/24.72  | | | | | | | | Case 2:
% 165.94/24.72  | | | | | | | | | 
% 165.94/24.72  | | | | | | | | |   (1436)   ~ (all_28_0 = e2) |  ~ (all_28_2 = e3)
% 165.94/24.72  | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | BETA: splitting (131) gives:
% 165.94/24.72  | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | Case 1:
% 165.94/24.72  | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | |   (1437)   ~ (all_42_2 = e0)
% 165.94/24.72  | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | REDUCE: (494), (1437) imply:
% 165.94/24.72  | | | | | | | | | |   (1438)   ~ (all_6_2 = e0)
% 165.94/24.72  | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | BETA: splitting (266) gives:
% 165.94/24.72  | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | Case 1:
% 165.94/24.72  | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | |   (1439)  all_56_15 = e0
% 165.94/24.72  | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | REF_CLOSE: (4), (61), (533), (634), (1431), (1439),
% 165.94/24.72  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 165.94/24.72  | | | | | | | | | | |            #437.
% 165.94/24.72  | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | Case 2:
% 165.94/24.72  | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | |   (1440)   ~ (all_56_15 = e0)
% 165.94/24.72  | | | | | | | | | | |   (1441)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 165.94/24.72  | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 165.94/24.72  | | | | | | | | | | |             e0)
% 165.94/24.72  | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | ALPHA: (1441) implies:
% 165.94/24.72  | | | | | | | | | | |   (1442)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 165.94/24.72  | | | | | | | | | | |   (1443)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 165.94/24.72  | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | REDUCE: (533), (1440) imply:
% 165.94/24.72  | | | | | | | | | | |   (1444)   ~ (all_14_2 = e0)
% 165.94/24.72  | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | BETA: splitting (243) gives:
% 165.94/24.72  | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | Case 1:
% 165.94/24.72  | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | |   (1445)  all_54_5 = e0
% 165.94/24.72  | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | REF_CLOSE: (531), (1433), (1445) are inconsistent by
% 165.94/24.72  | | | | | | | | | | | |            sub-proof #983.
% 165.94/24.72  | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | Case 2:
% 165.94/24.72  | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | |   (1446)   ~ (all_54_5 = e0)
% 165.94/24.72  | | | | | | | | | | | |   (1447)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 165.94/24.72  | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | BETA: splitting (248) gives:
% 165.94/24.72  | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | Case 1:
% 165.94/24.72  | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | |   (1448)  all_54_0 = e0
% 165.94/24.72  | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | REF_CLOSE: (532), (1438), (1448) are inconsistent by
% 165.94/24.72  | | | | | | | | | | | | |            sub-proof #984.
% 165.94/24.72  | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | Case 2:
% 165.94/24.72  | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | |   (1449)   ~ (all_54_0 = e0)
% 165.94/24.72  | | | | | | | | | | | | |   (1450)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 165.94/24.72  | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | BETA: splitting (233) gives:
% 165.94/24.72  | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | Case 1:
% 165.94/24.72  | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | |   (1451)  all_54_15 = e0
% 165.94/24.72  | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | REF_CLOSE: (341), (1444), (1451) are inconsistent by
% 165.94/24.72  | | | | | | | | | | | | | |            sub-proof #910.
% 165.94/24.72  | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | Case 2:
% 165.94/24.72  | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | |   (1452)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 165.94/24.72  | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 165.94/24.72  | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | Case 1:
% 165.94/24.72  | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | |   (1453)  all_56_6 = e0
% 165.94/24.72  | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | COMBINE_EQS: (413), (1453) imply:
% 165.94/24.72  | | | | | | | | | | | | | | |   (1454)  all_52_2 = e0
% 165.94/24.72  | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | COMBINE_EQS: (371), (1454) imply:
% 165.94/24.72  | | | | | | | | | | | | | | |   (1455)  all_58_18 = e0
% 165.94/24.72  | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | REDUCE: (193), (1454) imply:
% 165.94/24.72  | | | | | | | | | | | | | | |   (1456)   ~ (all_52_1 = e0)
% 165.94/24.72  | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | REDUCE: (188), (1454) imply:
% 165.94/24.72  | | | | | | | | | | | | | | |   (1457)   ~ (all_52_3 = e0)
% 165.94/24.72  | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | SIMP: (1457) implies:
% 165.94/24.72  | | | | | | | | | | | | | | |   (1458)   ~ (all_52_3 = e0)
% 165.94/24.72  | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | REDUCE: (187), (1454) imply:
% 165.94/24.72  | | | | | | | | | | | | | | |   (1459)   ~ (all_52_6 = e0)
% 165.94/24.72  | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | SIMP: (1459) implies:
% 165.94/24.72  | | | | | | | | | | | | | | |   (1460)   ~ (all_52_6 = e0)
% 165.94/24.72  | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | REDUCE: (185), (1454) imply:
% 165.94/24.72  | | | | | | | | | | | | | | |   (1461)   ~ (all_52_14 = e0)
% 165.94/24.72  | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | SIMP: (1461) implies:
% 165.94/24.72  | | | | | | | | | | | | | | |   (1462)   ~ (all_52_14 = e0)
% 165.94/24.72  | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | REDUCE: (556), (1454) imply:
% 165.94/24.72  | | | | | | | | | | | | | | |   (1463)   ~ (all_10_2 = e0)
% 165.94/24.72  | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | REDUCE: (627), (1454) imply:
% 165.94/24.72  | | | | | | | | | | | | | | |   (1464)  op(e1, e0) = all_58_8
% 165.94/24.72  | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 165.94/24.72  | | | | | | | | | | | | | | |              all_58_8, e0, e1, simplifying with (204), (1464)
% 165.94/24.72  | | | | | | | | | | | | | | |              gives:
% 165.94/24.72  | | | | | | | | | | | | | | |   (1465)  all_58_8 = all_52_14
% 165.94/24.72  | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 165.94/24.72  | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | Case 1:
% 165.94/24.72  | | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | |   (1466)  all_56_2 = e0
% 165.94/24.72  | | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (1466) imply:
% 165.94/24.72  | | | | | | | | | | | | | | | |   (1467)  all_52_1 = e0
% 165.94/24.72  | | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | | REDUCE: (1456), (1467) imply:
% 165.94/24.72  | | | | | | | | | | | | | | | |   (1468)  $false
% 165.94/24.72  | | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | | CLOSE: (1468) is inconsistent.
% 165.94/24.72  | | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | Case 2:
% 165.94/24.72  | | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | |   (1469)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 165.94/24.72  | | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 165.94/24.72  | | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.72  | | | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | | |   (1470)  all_56_1 = e0
% 165.94/24.72  | | | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (1470) imply:
% 165.94/24.72  | | | | | | | | | | | | | | | | |   (1471)  all_52_4 = e0
% 165.94/24.72  | | | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (1471) imply:
% 165.94/24.72  | | | | | | | | | | | | | | | | |   (1472)  all_58_20 = e0
% 165.94/24.72  | | | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | | | REDUCE: (179), (1471) imply:
% 165.94/24.72  | | | | | | | | | | | | | | | | |   (1473)   ~ (all_52_7 = e0)
% 165.94/24.72  | | | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | | | SIMP: (1473) implies:
% 165.94/24.72  | | | | | | | | | | | | | | | | |   (1474)   ~ (all_52_7 = e0)
% 165.94/24.72  | | | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | | | REDUCE: (550), (1471) imply:
% 165.94/24.72  | | | | | | | | | | | | | | | | |   (1475)   ~ (all_6_2 = e0)
% 165.94/24.72  | | | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | | | REDUCE: (558), (1471) imply:
% 165.94/24.72  | | | | | | | | | | | | | | | | |   (1476)   ~ (all_4_2 = e0)
% 165.94/24.72  | | | | | | | | | | | | | | | | | 
% 165.94/24.72  | | | | | | | | | | | | | | | | | REDUCE: (620), (1471) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | |   (1477)  op(e3, e0) = all_58_1
% 165.94/24.73  | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | REDUCE: (214), (1471) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | |   (1478)  op(e3, e2) = e0
% 165.94/24.73  | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | BETA: splitting (1442) gives:
% 165.94/24.73  | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | |   (1479)  all_56_12 = e0
% 165.94/24.73  | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (1458), (1479) are inconsistent by
% 165.94/24.73  | | | | | | | | | | | | | | | | | |            sub-proof #919.
% 165.94/24.73  | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | |   (1480)  all_56_13 = e0 | all_56_14 = e0
% 165.94/24.73  | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | BETA: splitting (1480) gives:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | |   (1481)  all_56_13 = e0
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (348), (1474), (1481) are inconsistent by
% 165.94/24.73  | | | | | | | | | | | | | | | | | | |            sub-proof #942.
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | |   (1482)  all_56_14 = e0
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (1482) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | |   (1483)  all_52_11 = e0
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | SIMP: (1483) implies:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | |   (1484)  all_52_11 = e0
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | REDUCE: (162), (1484) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | |   (1485)   ~ (all_52_9 = e0)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | BETA: splitting (1469) gives:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | |   (1486)  all_56_3 = e0
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (1486) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | |   (1487)  all_4_2 = e0
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | REDUCE: (1433), (1487) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | |   (1488)  $false
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | CLOSE: (1488) is inconsistent.
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | |   (1489)  all_56_5 = e0 | all_56_10 = e0
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1489) gives:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | |   (1490)  all_56_5 = e0
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (1490) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | |   (1491)  all_52_9 = e0
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | REDUCE: (1485), (1491) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | |   (1492)  $false
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | CLOSE: (1492) is inconsistent.
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | |   (1493)  all_56_10 = e0
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (1493) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | |   (1494)  all_52_13 = e0
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | SIMP: (1494) implies:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | |   (1495)  all_52_13 = e0
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (1495) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | |   (1496)  all_58_29 = e0
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (1495) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | |   (1497)   ~ (all_52_12 = e0)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (1495) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | |   (1498)   ~ (all_14_2 = e0)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | |              all_58_1, e0, e3, simplifying with (212), (1477)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | |              gives:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | |   (1499)  all_58_1 = all_52_12
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | |   (1500)  all_54_4 = e0
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (1456), (1500) are inconsistent by
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #902.
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | |   (1501)   ~ (all_54_4 = e0)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | |   (1502)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | |   (1503)  all_54_3 = e0
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (1503) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | |   (1504)  all_52_12 = e0
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1497), (1504) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | |   (1505)  $false
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1505) is inconsistent.
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | |   (1506)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | |   (1507)  all_58_23 = e0
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (1507) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | |   (1508)  all_52_7 = e0
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1474), (1508) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | |   (1509)  $false
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1509) is inconsistent.
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | |   (1510)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (1511)  all_58_19 = e0
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (1511) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (1512)  all_52_3 = e0
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1458), (1512) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (1513)  $false
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1513) is inconsistent.
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (1514)   ~ (all_58_19 = e0)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (1515)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1516)  all_58_31 = e0
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (537), (1516) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1517)  all_14_2 = e0
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1444), (1517) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1518)  $false
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1518) is inconsistent.
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1519)   ~ (all_58_31 = e0)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1520)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1521)  all_56_12 = e1
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (1521) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1522)  all_52_3 = e1
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1522) implies:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1523)  all_52_3 = e1
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (1523) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1524)   ~ (all_52_1 = e1)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (1523) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1525)   ~ (all_6_2 = e1)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1525) implies:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1526)   ~ (all_6_2 = e1)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (293) gives:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1527)  all_56_0 = e2
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (1527) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1528)  all_6_2 = e2
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (1528) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1529)  all_58_16 = e2
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (1528) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1530)   ~ (all_52_1 = e2)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (295), (389), (411), (1453),
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1455), (1515), (1521), (1527), (1529), (1530) are
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #556.
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1531)   ~ (all_56_0 = e2)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (1531) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1532)   ~ (all_6_2 = e2)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1450) gives:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1533)  all_54_0 = e1
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (532), (1526), (1533) are inconsistent by
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #951.
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1534)  all_54_0 = e3 | all_54_0 = e2
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1534) gives:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1535)  all_54_0 = e2
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (532), (1532), (1535) are inconsistent by
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #946.
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1536)  all_54_0 = e3
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (1536) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1537)  all_6_2 = e3
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1537) implies:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1538)  all_6_2 = e3
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (1538) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1539)   ~ (all_52_1 = e3)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (1538) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1540)   ~ (all_52_12 = e3)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1502) gives:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1541)  all_54_4 = e1
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (1524), (1541) are inconsistent by
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #872.
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1542)  all_54_4 = e3 | all_54_4 = e2
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1520) gives:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1543)  all_58_30 = e1
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (356), (1543) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1544)  all_52_14 = e1
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (1544) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1545)   ~ (all_52_6 = e1)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (368), (386), (448), (555), (1472), (1510),
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1539), (1542), (1545) are inconsistent by
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #877.
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1546)  all_58_28 = e3 | all_58_29 = e2
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (538), (1496), (1540), (1546) are
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #869.
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1547)   ~ (all_56_12 = e1)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (1547) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1548)   ~ (all_52_3 = e1)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1549)  all_56_0 = e1
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (1549) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1550)  all_6_2 = e1
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (1550) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1551)  all_58_16 = e1
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (1550) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1552)   ~ (all_52_8 = e1)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (37), (278), (284), (334),
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (368), (386), (389), (411), (429), (431), (531),
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (534), (535), (537), (539), (555), (564), (567),
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (770), (1444), (1447), (1455), (1472), (1478),
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1482), (1510), (1515), (1551), (1552),
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #435.
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1553)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1553) gives:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1554)  all_56_2 = e1
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (1554) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1555)  all_52_1 = e1
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (1555) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1556)  all_58_17 = e1
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (1555) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1557)   ~ (all_6_2 = e1)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1557) implies:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1558)   ~ (all_6_2 = e1)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (555), (1555) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1559)   ~ (all_4_2 = e1)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1559) implies:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1560)   ~ (all_4_2 = e1)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1515) gives:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1561)  all_58_18 = e1
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1455), (1561) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1562)  e1 = e0
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1562) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1563)  $false
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1563) is inconsistent.
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1564)  all_58_16 = e3 | all_58_17 = e2
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1564) gives:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1565)  all_58_17 = e2
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1556), (1565) are inconsistent by sub-proof
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #466.
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1566)  all_58_16 = e3
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1567)   ~ (all_58_17 = e2)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (1566) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1568)  all_6_2 = e3
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (1568) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1569)  all_56_0 = e3
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1556), (1567) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1570)   ~ (e2 = e1)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (1568) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1571)   ~ (all_52_12 = e3)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1520) gives:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1572)  all_58_30 = e1
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (356), (1572) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1573)  all_52_14 = e1
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (1573) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1574)  all_56_11 = e1
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (1573) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1575)   ~ (all_52_6 = e1)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (156), (1573) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1576)   ~ (all_52_12 = e1)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (1573) imply:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1577)   ~ (all_14_2 = e1)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1577) implies:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1578)   ~ (all_14_2 = e1)
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1579)  all_56_9 = e3
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (390), (1571), (1579) are inconsistent by
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #434.
% 165.94/24.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1580)   ~ (all_56_9 = e3)
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1581)  all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1581) gives:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1582)  all_56_10 = e3
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (1493), (1556), (1564), (1566), (1582)
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #433.
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1583)   ~ (all_56_10 = e3)
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1584)  all_56_11 = e3 | all_56_15 = e3
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1493), (1583) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1585)   ~ (e3 = e0)
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (293) gives:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1586)  all_56_0 = e2
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1569), (1586) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1587)  e3 = e2
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1587) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1588)  $false
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1588) is inconsistent.
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1589)  all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1589) gives:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1590)  all_56_2 = e2
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1554), (1590) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1591)  e2 = e1
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1591) implies:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1592)  e2 = e1
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1592) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1593)  $false
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1593) is inconsistent.
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1594)  all_56_6 = e2 | all_56_12 = e2
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1594) gives:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1595)  all_56_6 = e2
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1453), (1595) are inconsistent by sub-proof
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #954.
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1596)  all_56_12 = e2
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1506) gives:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1597)  all_54_3 = e1
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (460), (1576), (1597) are inconsistent by
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #894.
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1598)   ~ (all_54_3 = e1)
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1599)  all_54_3 = e3 | all_54_3 = e2
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1510) gives:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1600)  all_58_22 = e1
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (368), (1600) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1601)  all_52_6 = e1
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1575), (1601) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1602)  $false
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1602) is inconsistent.
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1603)  all_58_20 = e3 | all_58_21 = e2
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1604)  all_56_9 = e2
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (1604) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1605)  all_52_12 = e2
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1605) implies:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1606)  all_52_12 = e2
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (1606) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1607)   ~ (all_14_2 = e2)
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1607) implies:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1608)   ~ (all_14_2 = e2)
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (622), (1606) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1609)  op(e3, e2) = all_58_3
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (212), (1606) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1610)  op(e3, e0) = e2
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1584) gives:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1611)  all_56_11 = e3
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1574), (1611) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1612)  e3 = e1
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1566), (1612) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1613)  all_58_16 = e1
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (37), (368), (386), (389), (531), (555),
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (560), (770), (1447), (1472), (1478), (1510),
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1564), (1609), (1613), (function-axioms) are
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #972.
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1614)  all_56_15 = e3
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (533), (1614) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1615)  all_14_2 = e3
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1615) implies:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1616)  all_14_2 = e3
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1431), (1616) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1617)  op(e3, e0) = e1
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1603) gives:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1618)  all_58_21 = e2
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (386), (1618) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1619)  all_4_2 = e2
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (1619) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1620)  all_56_3 = e2
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (284) gives:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1621)  all_56_2 = e3
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1554), (1621) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1622)  e3 = e1
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1622) implies:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1623)  e3 = e1
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1566), (1623) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1624)  all_58_16 = e1
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (37), (368), (386), (389), (531), (555),
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (560), (770), (1447), (1472), (1478), (1510),
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1564), (1609), (1624), (function-axioms) are
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #972.
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1625)  all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1625) gives:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1626)  all_56_3 = e3
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1620), (1626) are inconsistent by sub-proof
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #432.
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1627)  all_56_5 = e3 | all_56_10 = e3
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1627) gives:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e0,
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, simplifying with (1610), (1617) gives:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1628)  e2 = e1
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1596), (1628) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1629)  all_56_12 = e1
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (1453), (1594), (1629) are inconsistent
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #905.
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1630)  all_56_10 = e3
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (1493), (1556), (1564), (1566), (1630)
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #433.
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1631)  all_58_20 = e3
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1472), (1631) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1632)  e3 = e0
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (1556), (1564), (1566), (1632) are
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #566.
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1633)   ~ (all_56_9 = e2)
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (390), (1633) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1634)   ~ (all_52_12 = e2)
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1599) gives:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1635)  all_54_3 = e2
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (460), (1634), (1635) are inconsistent by
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #893.
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1636)  all_54_3 = e3
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (460), (1571), (1636) are inconsistent by
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #892.
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1637)  all_58_28 = e3 | all_58_29 = e2
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (538), (1496), (1571), (1637) are
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #869.
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1638)  all_56_6 = e1 | all_56_12 = e1
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (351), (1453), (1548), (1638) are
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #933.
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.74  | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | End of split
% 165.94/24.74  | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.74  | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | |   (1639)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 165.94/24.74  | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | BETA: splitting (1639) gives:
% 165.94/24.74  | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | |   (1640)  all_56_3 = e0
% 165.94/24.74  | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (1640) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | |   (1641)  all_4_2 = e0
% 165.94/24.74  | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | REDUCE: (1433), (1641) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | |   (1642)  $false
% 165.94/24.74  | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | CLOSE: (1642) is inconsistent.
% 165.94/24.74  | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | |   (1643)  all_56_7 = e0 | all_56_13 = e0
% 165.94/24.74  | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | BETA: splitting (1643) gives:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | |   (1644)  all_56_7 = e0
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (1644) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | |   (1645)  all_52_6 = e0
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | REDUCE: (1460), (1645) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | |   (1646)  $false
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | CLOSE: (1646) is inconsistent.
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | |   (1647)  all_56_13 = e0
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (1647) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | |   (1648)  all_52_7 = e0
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | SIMP: (1648) implies:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | |   (1649)  all_52_7 = e0
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (1649) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | |   (1650)  all_58_23 = e0
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | REDUCE: (169), (1649) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | |   (1651)   ~ (all_52_11 = e0)
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | SIMP: (1651) implies:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | |   (1652)   ~ (all_52_11 = e0)
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | |   (1653)  all_56_4 = e0
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (1653) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | |   (1654)  all_52_8 = e0
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (1654) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | |   (1655)  all_58_24 = e0
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | REDUCE: (178), (1654) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | |   (1656)   ~ (all_52_4 = e0)
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (1654) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | |   (1657)   ~ (all_52_12 = e0)
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | SIMP: (1657) implies:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | |   (1658)   ~ (all_52_12 = e0)
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (1654) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | |   (1659)   ~ (all_6_2 = e0)
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | REDUCE: (621), (1654) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | |   (1660)  op(e3, e0) = all_58_2
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1443) gives:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | |   (1661)  all_56_9 = e0
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (390), (1658), (1661) are inconsistent by
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | |            sub-proof #908.
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | |   (1662)  all_56_10 = e0 | all_56_11 = e0
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1662) gives:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | |   (1663)  all_56_10 = e0
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (1663) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | |   (1664)  all_52_13 = e0
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | SIMP: (1664) implies:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | |   (1665)  all_52_13 = e0
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (1665) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | |   (1666)  all_58_29 = e0
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (1665) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | |   (1667)   ~ (all_14_2 = e0)
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (1665) imply:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | |   (1668)   ~ (all_4_2 = e0)
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | |              all_58_2, e0, e3, simplifying with (212), (1660)
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | |              gives:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | |   (1669)  all_58_2 = all_52_12
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | |   (1670)  all_54_12 = e0
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (465), (1458), (1670) are inconsistent by
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #559.
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.74  | | | | | | | | | | | | | | | | | | | | | | |   (1671)   ~ (all_54_12 = e0)
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | |   (1672)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | |   (1673)  all_54_1 = e0
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (1656), (1673) are inconsistent by
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #866.
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | |   (1674)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | |   (1675)  all_54_3 = e0
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (1675) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | |   (1676)  all_52_12 = e0
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1658), (1676) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | |   (1677)  $false
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1677) is inconsistent.
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | |   (1678)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1679)  all_58_31 = e0
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (537), (1679) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1680)  all_14_2 = e0
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1444), (1680) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1681)  $false
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1681) is inconsistent.
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1682)   ~ (all_58_31 = e0)
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1683)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1684)  all_58_19 = e0
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (1684) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1685)  all_52_3 = e0
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1458), (1685) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1686)  $false
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1686) is inconsistent.
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1687)   ~ (all_58_19 = e0)
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1688)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1689)  all_58_27 = e0
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (1689) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1690)  all_52_11 = e0
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1652), (1690) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1691)  $false
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1691) is inconsistent.
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1692)   ~ (all_58_27 = e0)
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1693)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (295) gives:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1694)  all_56_0 = e3
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (1694) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1695)  all_6_2 = e3
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (1695) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1696)   ~ (all_52_1 = e3)
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (550), (1695) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1697)   ~ (all_52_4 = e3)
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (1695) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1698)   ~ (all_52_12 = e3)
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1683) gives:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1699)  all_58_30 = e1
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (356), (1699) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1700)  all_52_14 = e1
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (1700) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1701)  all_56_11 = e1
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (156), (1700) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1702)   ~ (all_52_12 = e1)
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (1700) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1703)   ~ (all_10_2 = e1)
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1703) implies:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1704)   ~ (all_10_2 = e1)
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1693) gives:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1705)  all_58_26 = e1
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (539), (1704), (1705) are inconsistent by
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #968.
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1706)  all_58_24 = e3 | all_58_25 = e2
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1707)  all_56_9 = e3
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (390), (1698), (1707) are inconsistent by
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #434.
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1708)  all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1708) gives:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1709)  all_56_10 = e3
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1663), (1709) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1710)  e3 = e0
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1710) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1711)  $false
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1711) is inconsistent.
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1712)  all_56_11 = e3 | all_56_15 = e3
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1712) gives:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1713)  all_56_11 = e3
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1701), (1713) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1714)  e3 = e1
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1714) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1715)  $false
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1715) is inconsistent.
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1716)  all_56_15 = e3
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (533), (1716) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1717)  all_14_2 = e3
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1717) implies:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1718)  all_14_2 = e3
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1431), (1718) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1719)  op(e3, e0) = e1
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1720)  all_56_9 = e2
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (1720) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1721)  all_52_12 = e2
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1721) implies:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1722)  all_52_12 = e2
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (1722) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1723)   ~ (all_52_4 = e2)
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (212), (1722) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1724)  op(e3, e0) = e2
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1674) gives:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1725)  all_54_1 = e1
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (1725) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1726)  all_52_4 = e1
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1726) implies:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1727)  all_52_4 = e1
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (558), (1727) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1728)   ~ (all_4_2 = e1)
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1728) implies:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1729)   ~ (all_4_2 = e1)
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1723), (1727) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1730)   ~ (e2 = e1)
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1706) gives:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1731)  all_58_25 = e2
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (377), (1731) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1732)  all_52_9 = e2
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (1732) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1733)   ~ (all_4_2 = e2)
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1733) implies:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1734)   ~ (all_4_2 = e2)
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (284) gives:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1735)  all_56_2 = e3
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (1735) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1736)  all_52_1 = e3
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1696), (1736) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1737)  $false
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1737) is inconsistent.
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1738)  all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1447) gives:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1739)  all_54_5 = e1
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (531), (1729), (1739) are inconsistent by
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #977.
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1740)  all_54_5 = e3 | all_54_5 = e2
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1738) gives:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1741)  all_56_3 = e3
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (1741) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1742)  all_4_2 = e3
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1742) implies:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1743)  all_4_2 = e3
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e0,
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, simplifying with (1719), (1724) gives:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1744)  e2 = e1
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1731), (1744) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1745)  all_58_25 = e1
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (1655), (1706), (1745) are inconsistent
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #789.
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1746)   ~ (all_56_3 = e3)
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (535), (1746) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1747)   ~ (all_4_2 = e3)
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (531), (1734), (1740), (1747) are inconsistent by
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #959.
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1748)  all_58_24 = e3
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1655), (1748) are inconsistent by sub-proof
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #926.
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1749)  all_54_1 = e3 | all_54_1 = e2
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (1697), (1723), (1749) are inconsistent by
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #863.
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1750)   ~ (all_56_9 = e2)
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (390), (1750) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1751)   ~ (all_52_12 = e2)
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (460), (1678), (1698), (1702), (1751) are
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #890.
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1752)  all_58_28 = e3 | all_58_29 = e2
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (538), (1666), (1698), (1752) are
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #869.
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1753)   ~ (all_56_0 = e3)
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (1753) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1754)   ~ (all_6_2 = e3)
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1688) gives:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1755)  all_58_18 = e1
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1455), (1755) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1756)  e1 = e0
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1756) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1757)  $false
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1757) is inconsistent.
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1758)  all_58_16 = e3 | all_58_17 = e2
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1758) gives:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1759)  all_58_17 = e2
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (1759) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1760)  all_52_1 = e2
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (1760) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1761)   ~ (all_52_3 = e2)
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1761) implies:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1762)   ~ (all_52_3 = e2)
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (1760) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1763)   ~ (all_52_9 = e2)
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1763) implies:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1764)   ~ (all_52_9 = e2)
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (1760) imply:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1765)   ~ (all_6_2 = e2)
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1765) implies:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1766)   ~ (all_6_2 = e2)
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1450) gives:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1767)  all_54_0 = e1
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (1767) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1768)  all_6_2 = e1
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1768) implies:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1769)  all_6_2 = e1
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (1769) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1770)  all_58_16 = e1
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (1769) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1771)   ~ (all_52_3 = e1)
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1766), (1769) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1772)   ~ (e2 = e1)
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1672) gives:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1773)  all_54_12 = e1
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (465), (1771), (1773) are inconsistent by
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #812.
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1774)   ~ (all_54_12 = e1)
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1775)  all_54_12 = e3 | all_54_12 = e2
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1775) gives:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1776)  all_54_12 = e2
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (465), (1762), (1776) are inconsistent by
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #811.
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1777)  all_54_12 = e3
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (465), (1777) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1778)  all_52_3 = e3
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1778) implies:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1779)  all_52_3 = e3
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (1779) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1780)  all_56_12 = e3
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (183), (1779) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1781)   ~ (all_52_11 = e3)
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1781) implies:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1782)   ~ (all_52_11 = e3)
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (557), (1779) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1783)   ~ (all_14_2 = e3)
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1783) implies:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1784)   ~ (all_14_2 = e3)
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1693) gives:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1785)  all_58_26 = e1
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (1785) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1786)  all_10_2 = e1
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1786) implies:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1787)  all_10_2 = e1
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (1787) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1788)  all_56_8 = e1
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (572), (1787) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1789)   ~ (all_52_11 = e1)
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1790)  all_56_12 = e1
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1780), (1790) are inconsistent by sub-proof
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #582.
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1791)   ~ (all_56_12 = e1)
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1792)  all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1792) gives:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1793)  all_56_13 = e1
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1647), (1793) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1794)  e1 = e0
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1794) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1795)  $false
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1795) is inconsistent.
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1796)  all_56_14 = e1 | all_56_15 = e1
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (279) gives:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1797)  all_56_4 = e2
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1653), (1797) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1798)  e2 = e0
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (1758), (1759), (1770), (1798) are
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1799)  all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1799) gives:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1800)  all_56_5 = e2
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (1800) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1801)  all_52_9 = e2
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1764), (1801) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1802)  $false
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1802) is inconsistent.
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1803)  all_56_8 = e2 | all_56_14 = e2
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1803) gives:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1804)  all_56_8 = e2
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1788), (1804) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1805)  e2 = e1
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1805) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1806)  $false
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1806) is inconsistent.
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1807)  all_56_14 = e2
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (1807) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1808)  all_52_11 = e2
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1808) implies:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1809)  all_52_11 = e2
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (1809) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1810)   ~ (all_14_2 = e2)
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1810) implies:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1811)   ~ (all_14_2 = e2)
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1782), (1809) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1812)   ~ (e3 = e2)
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1796) gives:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1813)  all_56_14 = e1
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1807), (1813) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1814)  e2 = e1
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1814) implies:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1815)  e2 = e1
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1815) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1816)  $false
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1816) is inconsistent.
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1817)  all_56_15 = e1
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (533), (1817) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1818)  all_14_2 = e1
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1818) implies:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1819)  all_14_2 = e1
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (1819) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1820)   ~ (all_52_12 = e1)
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (1819) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1821)   ~ (all_52_14 = e1)
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1784), (1819) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1822)   ~ (e3 = e1)
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1431), (1819) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1823)  op(e1, e0) = e1
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1683) gives:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1824)  all_58_30 = e1
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (356), (1824) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1825)  all_52_14 = e1
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1821), (1825) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1826)  $false
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1826) is inconsistent.
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1827)   ~ (all_58_30 = e1)
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1828)  all_58_28 = e3 | all_58_29 = e2
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1828) gives:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1829)  all_58_29 = e2
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1666), (1829) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1830)  e2 = e0
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (1758), (1759), (1770), (1830) are
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1831)  all_58_28 = e3
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1832)   ~ (all_58_29 = e2)
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (1831) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1833)  all_52_12 = e3
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (1833) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1834)  all_56_9 = e3
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1666), (1832) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1835)   ~ (e2 = e0)
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1836)  all_56_9 = e2
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1834), (1836) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1837)  e3 = e2
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1837) imply:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1838)  $false
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1838) is inconsistent.
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 165.94/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1839)  all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1839) gives:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1840)  all_56_10 = e2
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1663), (1840) imply:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1841)  e2 = e0
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1759), (1841) imply:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1842)  all_58_17 = e0
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (1758), (1770), (1842) are inconsistent
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #980.
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1843)  all_56_11 = e2 | all_56_15 = e2
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1843) gives:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1844)  all_56_11 = e2
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (1844) imply:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1845)  all_52_14 = e2
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1845) implies:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1846)  all_52_14 = e2
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (204), (1846) imply:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1847)  op(e1, e0) = e2
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e0,
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, simplifying with (1823), (1847) gives:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1848)  e2 = e1
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1848) imply:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1849)  $false
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1849) is inconsistent.
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1850)  all_56_15 = e2
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1817), (1850) imply:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1851)  e2 = e1
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1851) imply:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1852)  $false
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1852) is inconsistent.
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1853)  all_58_24 = e3 | all_58_25 = e2
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (377), (1655), (1764), (1853) are
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #921.
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1854)  all_54_0 = e3 | all_54_0 = e2
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (532), (1754), (1766), (1854) are inconsistent by
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #843.
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1855)  all_58_16 = e3
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (1855) imply:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1856)  all_6_2 = e3
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1754), (1856) imply:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1857)  $false
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1857) is inconsistent.
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | |   (1858)  all_56_11 = e0
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (1462), (1858) are inconsistent by
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #873.
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | Case 2:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | |   (1859)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1859) gives:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | |   (1860)  all_56_5 = e0
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (1860) imply:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | |   (1861)  all_52_9 = e0
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (377), (1861) imply:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | |   (1862)  all_58_25 = e0
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | REDUCE: (161), (1861) imply:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | |   (1863)   ~ (all_52_13 = e0)
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | SIMP: (1863) implies:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | |   (1864)   ~ (all_52_13 = e0)
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (1861) imply:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | |   (1865)   ~ (all_4_2 = e0)
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1443) gives:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | |   (1866)  all_56_9 = e0
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (1866) imply:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | |   (1867)  all_52_12 = e0
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | SIMP: (1867) implies:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | |   (1868)  all_52_12 = e0
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (1868) imply:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | |   (1869)  all_58_28 = e0
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (1868) imply:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | |   (1870)   ~ (all_52_4 = e0)
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (1868) imply:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | |   (1871)   ~ (all_52_8 = e0)
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (1868) imply:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | |   (1872)   ~ (all_14_2 = e0)
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (1868) imply:
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | |   (1873)   ~ (all_6_2 = e0)
% 166.34/24.76  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (154), (167), (170),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | |            (178), (180), (189), (192), (204), (236), (237),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | |            (239), (241), (246), (247), (270), (271), (272),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | |            (276), (286), (291), (293), (294), (331), (332),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | |            (334), (335), (341), (347), (356), (368), (374),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | |            (377), (386), (389), (395), (396), (407), (425),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | |            (429), (439), (441), (446), (451), (456), (462),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | |            (463), (465), (531), (532), (533), (535), (536),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | |            (537), (539), (542), (544), (548), (550), (552),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | |            (558), (560), (569), (574), (577), (578), (1431),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | |            (1433), (1438), (1444), (1447), (1450), (1452),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | |            (1453), (1455), (1456), (1458), (1460), (1462),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | |            (1647), (1650), (1652), (1862), (1864), (1866),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | |            (1869), (1870), (1871), (function-axioms) are
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #415.
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | |   (1874)  all_56_10 = e0 | all_56_11 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (439), (441), (1462), (1864), (1874) are
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #414.
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | |   (1875)  all_56_8 = e0 | all_56_14 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (534), (772), (1652), (1875) are
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #914.
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.77  | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | End of split
% 166.34/24.77  | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | End of split
% 166.34/24.77  | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | End of split
% 166.34/24.77  | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | Case 2:
% 166.34/24.77  | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | |   (1876)   ~ (all_56_6 = e0)
% 166.34/24.77  | | | | | | | | | | | | | | |   (1877)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | REDUCE: (413), (1876) imply:
% 166.34/24.77  | | | | | | | | | | | | | | |   (1878)   ~ (all_52_2 = e0)
% 166.34/24.77  | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 166.34/24.77  | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | Case 1:
% 166.34/24.77  | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | |   (1879)  all_56_0 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (1879) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | |   (1880)  all_6_2 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | REDUCE: (1438), (1880) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | |   (1881)  $false
% 166.34/24.77  | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | CLOSE: (1881) is inconsistent.
% 166.34/24.77  | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | Case 2:
% 166.34/24.77  | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | |   (1882)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 166.34/24.77  | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | Case 1:
% 166.34/24.77  | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | |   (1883)  all_54_8 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (1878), (1883) are inconsistent by
% 166.34/24.77  | | | | | | | | | | | | | | | | |            sub-proof #839.
% 166.34/24.77  | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | Case 2:
% 166.34/24.77  | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | |   (1884)   ~ (all_54_8 = e0)
% 166.34/24.77  | | | | | | | | | | | | | | | | |   (1885)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 166.34/24.77  | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 166.34/24.77  | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | Case 1:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | |   (1886)  all_56_2 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (1886) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | |   (1887)  all_52_1 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (1887) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | |   (1888)  all_58_17 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | REDUCE: (192), (1887) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | |   (1889)   ~ (all_52_3 = e0)
% 166.34/24.77  | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | SIMP: (1889) implies:
% 166.34/24.77  | | | | | | | | | | | | | | | | | |   (1890)   ~ (all_52_3 = e0)
% 166.34/24.77  | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | REDUCE: (190), (1887) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | |   (1891)   ~ (all_52_9 = e0)
% 166.34/24.77  | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | SIMP: (1891) implies:
% 166.34/24.77  | | | | | | | | | | | | | | | | | |   (1892)   ~ (all_52_9 = e0)
% 166.34/24.77  | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | REDUCE: (189), (1887) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | |   (1893)   ~ (all_52_13 = e0)
% 166.34/24.77  | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | SIMP: (1893) implies:
% 166.34/24.77  | | | | | | | | | | | | | | | | | |   (1894)   ~ (all_52_13 = e0)
% 166.34/24.77  | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | REDUCE: (544), (1887) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | |   (1895)   ~ (all_6_2 = e0)
% 166.34/24.77  | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | REDUCE: (555), (1887) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | |   (1896)   ~ (all_4_2 = e0)
% 166.34/24.77  | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | REDUCE: (623), (1887) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | |   (1897)  op(e2, e0) = all_58_4
% 166.34/24.77  | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | REDUCE: (211), (1887) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | |   (1898)  op(e2, e3) = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 166.34/24.77  | | | | | | | | | | | | | | | | | |              all_58_4, e0, e2, simplifying with (208), (1897)
% 166.34/24.77  | | | | | | | | | | | | | | | | | |              gives:
% 166.34/24.77  | | | | | | | | | | | | | | | | | |   (1899)  all_58_4 = all_52_13
% 166.34/24.77  | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | Case 1:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | |   (1900)  all_56_4 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (1900) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | |   (1901)  all_52_8 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (1901) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | |   (1902)  all_58_24 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | REDUCE: (165), (1901) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | |   (1903)   ~ (all_52_11 = e0)
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | SIMP: (1903) implies:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | |   (1904)   ~ (all_52_11 = e0)
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | REDUCE: (569), (1901) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | |   (1905)   ~ (all_10_2 = e0)
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | BETA: splitting (1442) gives:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | Case 1:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | |   (1906)  all_56_12 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (1890), (1906) are inconsistent by
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | |            sub-proof #919.
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | Case 2:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | |   (1907)  all_56_13 = e0 | all_56_14 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1907) gives:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | |   (1908)  all_56_13 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (1908) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | |   (1909)  all_52_7 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | SIMP: (1909) implies:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | |   (1910)  all_52_7 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (1910) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | |   (1911)  all_58_23 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (1910) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | |   (1912)   ~ (all_52_6 = e0)
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1877) gives:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | |   (1913)  all_56_7 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (1913) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | |   (1914)  all_52_6 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1912), (1914) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | |   (1915)  $false
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1915) is inconsistent.
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | |   (1916)  all_56_8 = e0 | all_56_11 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1916) gives:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |   (1917)  all_56_8 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (1917) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |   (1918)  all_10_2 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (1918) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |   (1919)  $false
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1919) is inconsistent.
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |   (1920)  all_56_11 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (1920) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |   (1921)  all_52_14 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1921) implies:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |   (1922)  all_52_14 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (356), (1922) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |   (1923)  all_58_30 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (1922) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |   (1924)   ~ (all_14_2 = e0)
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (161), (162), (187),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |            (188), (207), (236), (239), (276), (278), (291),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |            (293), (295), (331), (332), (334), (335), (341),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |            (347), (351), (371), (374), (377), (386), (407),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |            (413), (425), (431), (435), (456), (465), (523),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |            (532), (534), (536), (537), (538), (539), (542),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |            (546), (548), (554), (556), (557), (564), (567),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |            (572), (577), (628), (766), (1430), (1436),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |            (1438), (1444), (1450), (1452), (1878), (1886),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |            (1888), (1890), (1892), (1894), (1900), (1902),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |            (1904), (1911), (1912), (1923), (function-axioms)
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #408.
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | |   (1925)  all_56_14 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (1904), (1925) are inconsistent by
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | |            sub-proof #915.
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | Case 2:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | |   (1926)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | BETA: splitting (1926) gives:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | Case 1:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | |   (1927)  all_56_5 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (1927) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | |   (1928)  all_52_9 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | REDUCE: (1892), (1928) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | |   (1929)  $false
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | CLOSE: (1929) is inconsistent.
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | Case 2:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | |   (1930)  all_56_8 = e0 | all_56_14 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1930) gives:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | |   (1931)  all_56_8 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (534), (772), (1931) are inconsistent by sub-proof
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | |            #916.
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | |   (1932)  all_56_14 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (1932) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | |   (1933)  all_52_11 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | SIMP: (1933) implies:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | |   (1934)  all_52_11 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (1934) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | |   (1935)   ~ (all_52_7 = e0)
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (1934) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | |   (1936)   ~ (all_52_8 = e0)
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | |   (1937)  all_56_0 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (1937) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | |   (1938)  all_6_2 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1438), (1938) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | |   (1939)  $false
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1939) is inconsistent.
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | |   (1940)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |   (1941)  all_56_1 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (1941) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |   (1942)  all_52_4 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (1942) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |   (1943)  all_58_20 = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (1942) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |   (1944)   ~ (all_52_7 = e0)
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (1942) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |   (1945)   ~ (all_52_12 = e0)
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1945) implies:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |   (1946)   ~ (all_52_12 = e0)
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (214), (1942) imply:
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |   (1947)  op(e3, e2) = e0
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (42), (154),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (164), (185), (187), (241),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |            (242), (280), (284), (291), (292), (294), (331),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |            (333), (335), (351), (356), (368), (371), (374),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |            (386), (390), (407), (413), (429), (431), (439),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |            (441), (453), (462), (531), (535), (536), (537),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |            (538), (540), (542), (546), (548), (560), (564),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |            (566), (578), (625), (770), (774), (1438), (1443),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |            (1447), (1886), (1888), (1890), (1892), (1894),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |            (1898), (1935), (1941), (1943), (1946), (1947),
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | |            #697.
% 166.34/24.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | |   (1948)   ~ (all_56_1 = e0)
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | |   (1949)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (396), (1948) imply:
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | |   (1950)   ~ (all_52_4 = e0)
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1949) gives:
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | |   (1951)  all_56_3 = e0
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (1951) imply:
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | |   (1952)  all_4_2 = e0
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1433), (1952) imply:
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | |   (1953)  $false
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1953) is inconsistent.
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | |   (1954)  all_56_7 = e0 | all_56_13 = e0
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1940) gives:
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | |   (1955)  all_56_1 = e0
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (1955) imply:
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | |   (1956)  all_52_4 = e0
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1950), (1956) imply:
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | |   (1957)  $false
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1957) is inconsistent.
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | |   (1958)  all_56_4 = e0 | all_56_9 = e0
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1954) gives:
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1959)  all_56_7 = e0
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (1959) imply:
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1960)  all_52_6 = e0
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1960) implies:
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1961)  all_52_6 = e0
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (368), (1961) imply:
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1962)  all_58_22 = e0
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (1961) imply:
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1963)   ~ (all_52_7 = e0)
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1958) gives:
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1964)  all_56_4 = e0
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (1964) imply:
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1965)  all_52_8 = e0
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1936), (1965) imply:
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1966)  $false
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1966) is inconsistent.
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1967)  all_56_9 = e0
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (1967) imply:
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1968)  all_52_12 = e0
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1968) implies:
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1969)  all_52_12 = e0
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (1969) imply:
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1970)  all_58_28 = e0
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (1969) imply:
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1971)   ~ (all_14_2 = e0)
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (42), (154), (157),
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (161), (164), (167), (178), (185), (188), (208),
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (241), (242), (268), (271), (276), (280), (288),
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (291), (292), (293), (331), (333), (334), (335),
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (348), (351), (356), (371), (374), (386), (396),
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (407), (413), (429), (431), (439), (441), (453),
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (455), (462), (532), (533), (534), (535), (536),
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (537), (538), (539), (540), (541), (542), (546),
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (548), (550), (556), (564), (566), (568), (574),
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (577), (625), (774), (1431), (1433), (1438),
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1444), (1450), (1878), (1885), (1886), (1888),
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1890), (1892), (1894), (1898), (1935), (1950),
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1959), (1962), (1967), (1970), (function-axioms)
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #403.
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1972)  all_56_13 = e0
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (348), (1935), (1972) are inconsistent by
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #942.
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.78  | | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | End of split
% 166.34/24.78  | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | Case 2:
% 166.34/24.78  | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | |   (1973)   ~ (all_56_2 = e0)
% 166.34/24.78  | | | | | | | | | | | | | | | | | |   (1974)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 166.34/24.78  | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | REDUCE: (411), (1973) imply:
% 166.34/24.78  | | | | | | | | | | | | | | | | | |   (1975)   ~ (all_52_1 = e0)
% 166.34/24.78  | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (43), (154),
% 166.34/24.78  | | | | | | | | | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 166.34/24.78  | | | | | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 166.34/24.78  | | | | | | | | | | | | | | | | | |            (183), (184), (185), (187), (189), (190), (193),
% 166.34/24.78  | | | | | | | | | | | | | | | | | |            (206), (207), (209), (211), (234), (235), (244),
% 166.34/24.78  | | | | | | | | | | | | | | | | | |            (245), (246), (247), (267), (268), (270), (272),
% 166.34/24.78  | | | | | | | | | | | | | | | | | |            (275), (276), (277), (278), (282), (284), (285),
% 166.34/24.78  | | | | | | | | | | | | | | | | | |            (286), (288), (290), (291), (292), (293), (294),
% 166.34/24.78  | | | | | | | | | | | | | | | | | |            (295), (331), (332), (333), (334), (341), (347),
% 166.34/24.78  | | | | | | | | | | | | | | | | | |            (348), (351), (356), (368), (371), (374), (377),
% 166.34/24.78  | | | | | | | | | | | | | | | | | |            (386), (389), (390), (395), (396), (407), (411),
% 166.34/24.78  | | | | | | | | | | | | | | | | | |            (413), (425), (429), (431), (435), (439), (441),
% 166.34/24.78  | | | | | | | | | | | | | | | | | |            (446), (448), (451), (455), (460), (466), (468),
% 166.34/24.78  | | | | | | | | | | | | | | | | | |            (531), (532), (533), (534), (535), (536), (537),
% 166.34/24.78  | | | | | | | | | | | | | | | | | |            (538), (539), (540), (541), (542), (544), (546),
% 166.34/24.78  | | | | | | | | | | | | | | | | | |            (548), (550), (552), (554), (555), (556), (558),
% 166.34/24.78  | | | | | | | | | | | | | | | | | |            (560), (562), (564), (566), (567), (568), (569),
% 166.34/24.78  | | | | | | | | | | | | | | | | | |            (570), (572), (574), (575), (576), (577), (578),
% 166.34/24.78  | | | | | | | | | | | | | | | | | |            (771), (772), (774), (1433), (1443), (1447),
% 166.34/24.78  | | | | | | | | | | | | | | | | | |            (1450), (1452), (1877), (1878), (1882), (1885),
% 166.34/24.78  | | | | | | | | | | | | | | | | | |            (1974), (1975), (function-axioms) are inconsistent
% 166.34/24.78  | | | | | | | | | | | | | | | | | |            by sub-proof #715.
% 166.34/24.78  | | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | | End of split
% 166.34/24.78  | | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | | End of split
% 166.34/24.78  | | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | | End of split
% 166.34/24.78  | | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | | End of split
% 166.34/24.78  | | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | | End of split
% 166.34/24.78  | | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | | End of split
% 166.34/24.78  | | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | End of split
% 166.34/24.78  | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | End of split
% 166.34/24.78  | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | Case 2:
% 166.34/24.78  | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | |   (1976)  all_42_2 = e0
% 166.34/24.78  | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | COMBINE_EQS: (494), (1976) imply:
% 166.34/24.78  | | | | | | | | | |   (1977)  all_6_2 = e0
% 166.34/24.78  | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | SIMP: (1977) implies:
% 166.34/24.78  | | | | | | | | | |   (1978)  all_6_2 = e0
% 166.34/24.78  | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (61), (154),
% 166.34/24.78  | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 166.34/24.78  | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 166.34/24.78  | | | | | | | | | |            (183), (184), (185), (187), (188), (189), (190),
% 166.34/24.78  | | | | | | | | | |            (192), (193), (203), (204), (208), (212), (233),
% 166.34/24.78  | | | | | | | | | |            (234), (237), (239), (241), (242), (243), (244),
% 166.34/24.78  | | | | | | | | | |            (245), (246), (247), (266), (270), (273), (274),
% 166.34/24.78  | | | | | | | | | |            (275), (276), (277), (278), (279), (280), (281),
% 166.34/24.78  | | | | | | | | | |            (282), (284), (286), (287), (291), (293), (294),
% 166.34/24.78  | | | | | | | | | |            (295), (330), (331), (332), (333), (334), (335),
% 166.34/24.78  | | | | | | | | | |            (341), (347), (348), (351), (356), (368), (371),
% 166.34/24.78  | | | | | | | | | |            (374), (377), (386), (389), (390), (395), (396),
% 166.34/24.78  | | | | | | | | | |            (407), (411), (413), (425), (429), (431), (435),
% 166.34/24.78  | | | | | | | | | |            (439), (441), (446), (448), (451), (453), (456),
% 166.34/24.78  | | | | | | | | | |            (460), (462), (463), (468), (531), (533), (534),
% 166.34/24.78  | | | | | | | | | |            (535), (536), (537), (538), (539), (540), (541),
% 166.34/24.78  | | | | | | | | | |            (542), (544), (546), (548), (550), (552), (554),
% 166.34/24.78  | | | | | | | | | |            (555), (556), (558), (560), (562), (564), (567),
% 166.34/24.78  | | | | | | | | | |            (569), (570), (572), (574), (576), (577), (578),
% 166.34/24.78  | | | | | | | | | |            (619), (625), (626), (628), (630), (632), (633),
% 166.34/24.78  | | | | | | | | | |            (634), (772), (1431), (1433), (1978),
% 166.34/24.78  | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 166.34/24.78  | | | | | | | | | |            #401.
% 166.34/24.78  | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | End of split
% 166.34/24.78  | | | | | | | | | 
% 166.34/24.78  | | | | | | | | End of split
% 166.34/24.78  | | | | | | | | 
% 166.34/24.78  | | | | | | | Case 2:
% 166.34/24.78  | | | | | | | | 
% 166.34/24.78  | | | | | | | |   (1979)  all_24_2 = e0
% 166.34/24.78  | | | | | | | |   (1980)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3)
% 166.34/24.78  | | | | | | | | 
% 166.34/24.78  | | | | | | | | COMBINE_EQS: (510), (1979) imply:
% 166.34/24.78  | | | | | | | |   (1981)  all_4_2 = e0
% 166.34/24.78  | | | | | | | | 
% 166.34/24.78  | | | | | | | | SIMP: (1981) implies:
% 166.34/24.78  | | | | | | | |   (1982)  all_4_2 = e0
% 166.34/24.78  | | | | | | | | 
% 166.34/24.78  | | | | | | | | COMBINE_EQS: (496), (1982) imply:
% 166.34/24.78  | | | | | | | |   (1983)  all_40_2 = e0
% 166.34/24.78  | | | | | | | | 
% 166.34/24.78  | | | | | | | | COMBINE_EQS: (535), (1982) imply:
% 166.34/24.78  | | | | | | | |   (1984)  all_56_3 = e0
% 166.34/24.78  | | | | | | | | 
% 166.34/24.78  | | | | | | | | COMBINE_EQS: (386), (1982) imply:
% 166.34/24.78  | | | | | | | |   (1985)  all_58_21 = e0
% 166.34/24.78  | | | | | | | | 
% 166.34/24.78  | | | | | | | | REDUCE: (555), (1982) imply:
% 166.34/24.78  | | | | | | | |   (1986)   ~ (all_52_1 = e0)
% 166.34/24.78  | | | | | | | | 
% 166.34/24.78  | | | | | | | | REDUCE: (558), (1982) imply:
% 166.34/24.78  | | | | | | | |   (1987)   ~ (all_52_4 = e0)
% 166.34/24.78  | | | | | | | | 
% 166.34/24.78  | | | | | | | | REDUCE: (560), (1982) imply:
% 166.34/24.78  | | | | | | | |   (1988)   ~ (all_52_6 = e0)
% 166.34/24.78  | | | | | | | | 
% 166.34/24.78  | | | | | | | | REDUCE: (562), (1982) imply:
% 166.34/24.78  | | | | | | | |   (1989)   ~ (all_52_7 = e0)
% 166.34/24.78  | | | | | | | | 
% 166.34/24.78  | | | | | | | | REDUCE: (564), (1982) imply:
% 166.34/24.78  | | | | | | | |   (1990)   ~ (all_52_9 = e0)
% 166.34/24.78  | | | | | | | | 
% 166.34/24.78  | | | | | | | | REDUCE: (38), (1982) imply:
% 166.34/24.78  | | | | | | | |   (1991)  op(all_4_1, e0) = all_4_0
% 166.34/24.78  | | | | | | | | 
% 166.34/24.78  | | | | | | | | REDUCE: (37), (1982) imply:
% 166.34/24.78  | | | | | | | |   (1992)  op(e0, e2) = all_4_1
% 166.34/24.78  | | | | | | | | 
% 166.34/24.78  | | | | | | | | REDUCE: (624), (1982) imply:
% 166.34/24.78  | | | | | | | |   (1993)  op(e2, e0) = all_58_5
% 166.34/24.78  | | | | | | | | 
% 166.34/24.78  | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 166.34/24.78  | | | | | | | |              all_4_1, e2, e0, simplifying with (202), (1992)
% 166.34/24.78  | | | | | | | |              gives:
% 166.34/24.78  | | | | | | | |   (1994)  all_52_7 = all_4_1
% 166.34/24.78  | | | | | | | | 
% 166.34/24.78  | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 166.34/24.78  | | | | | | | |              all_58_5, e0, e2, simplifying with (208), (1993)
% 166.34/24.78  | | | | | | | |              gives:
% 166.34/24.78  | | | | | | | |   (1995)  all_58_5 = all_52_13
% 166.34/24.78  | | | | | | | | 
% 166.34/24.78  | | | | | | | | COMBINE_EQS: (466), (1994) imply:
% 166.34/24.78  | | | | | | | |   (1996)  all_54_13 = all_4_1
% 166.34/24.78  | | | | | | | | 
% 166.34/24.78  | | | | | | | | COMBINE_EQS: (348), (1994) imply:
% 166.34/24.78  | | | | | | | |   (1997)  all_56_13 = all_4_1
% 166.34/24.78  | | | | | | | | 
% 166.34/24.78  | | | | | | | | COMBINE_EQS: (540), (1994) imply:
% 166.34/24.78  | | | | | | | |   (1998)  all_58_23 = all_4_1
% 166.34/24.78  | | | | | | | | 
% 166.34/24.78  | | | | | | | | REDUCE: (184), (1994) imply:
% 166.34/24.78  | | | | | | | |   (1999)   ~ (all_52_3 = all_4_1)
% 166.34/24.78  | | | | | | | | 
% 166.34/24.78  | | | | | | | | REDUCE: (179), (1994) imply:
% 166.34/24.78  | | | | | | | |   (2000)   ~ (all_52_4 = all_4_1)
% 166.34/24.78  | | | | | | | | 
% 166.34/24.78  | | | | | | | | REDUCE: (172), (1994) imply:
% 166.34/24.78  | | | | | | | |   (2001)   ~ (all_52_6 = all_4_1)
% 166.34/24.78  | | | | | | | | 
% 166.34/24.78  | | | | | | | | REDUCE: (169), (1994) imply:
% 166.34/24.78  | | | | | | | |   (2002)   ~ (all_52_11 = all_4_1)
% 166.34/24.78  | | | | | | | | 
% 166.34/24.78  | | | | | | | | SIMP: (2002) implies:
% 166.34/24.78  | | | | | | | |   (2003)   ~ (all_52_11 = all_4_1)
% 166.34/24.78  | | | | | | | | 
% 166.34/24.78  | | | | | | | | BETA: splitting (126) gives:
% 166.34/24.78  | | | | | | | | 
% 166.34/24.78  | | | | | | | | Case 1:
% 166.34/24.78  | | | | | | | | | 
% 166.34/24.78  | | | | | | | | |   (2004)   ~ (all_40_2 = e0)
% 166.34/24.78  | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | REDUCE: (1983), (2004) imply:
% 166.34/24.78  | | | | | | | | |   (2005)  $false
% 166.34/24.78  | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | CLOSE: (2005) is inconsistent.
% 166.34/24.78  | | | | | | | | | 
% 166.34/24.78  | | | | | | | | Case 2:
% 166.34/24.78  | | | | | | | | | 
% 166.34/24.78  | | | | | | | | |   (2006)   ~ (all_40_0 = e3) |  ~ (all_40_1 = e1)
% 166.34/24.78  | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | BETA: splitting (131) gives:
% 166.34/24.78  | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | Case 1:
% 166.34/24.78  | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | |   (2007)   ~ (all_42_2 = e0)
% 166.34/24.78  | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | REDUCE: (494), (2007) imply:
% 166.34/24.78  | | | | | | | | | |   (2008)   ~ (all_6_2 = e0)
% 166.34/24.78  | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | BETA: splitting (266) gives:
% 166.34/24.78  | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | Case 1:
% 166.34/24.78  | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | |   (2009)  all_56_15 = e0
% 166.34/24.78  | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | | REF_CLOSE: (4), (61), (533), (634), (1431), (2009),
% 166.34/24.78  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 166.34/24.78  | | | | | | | | | | |            #437.
% 166.34/24.78  | | | | | | | | | | | 
% 166.34/24.78  | | | | | | | | | | Case 2:
% 166.34/24.78  | | | | | | | | | | | 
% 166.34/24.79  | | | | | | | | | | |   (2010)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 166.34/24.79  | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 166.34/24.79  | | | | | | | | | | |             e0)
% 166.34/24.79  | | | | | | | | | | | 
% 166.34/24.79  | | | | | | | | | | | ALPHA: (2010) implies:
% 166.34/24.79  | | | | | | | | | | |   (2011)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 166.34/24.79  | | | | | | | | | | | 
% 166.34/24.79  | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (43), (61),
% 166.34/24.79  | | | | | | | | | | |            (154), (156), (157), (161), (162), (164), (165),
% 166.34/24.79  | | | | | | | | | | |            (167), (170), (177), (178), (180), (183), (185),
% 166.34/24.79  | | | | | | | | | | |            (187), (188), (189), (190), (192), (193), (204),
% 166.34/24.79  | | | | | | | | | | |            (207), (209), (212), (234), (236), (237), (238),
% 166.34/24.79  | | | | | | | | | | |            (240), (241), (242), (244), (245), (246), (247),
% 166.34/24.79  | | | | | | | | | | |            (248), (267), (270), (272), (273), (275), (276),
% 166.34/24.79  | | | | | | | | | | |            (279), (284), (286), (287), (289), (290), (291),
% 166.34/24.79  | | | | | | | | | | |            (292), (293), (295), (330), (331), (332), (333),
% 166.34/24.79  | | | | | | | | | | |            (334), (335), (347), (351), (356), (368), (371),
% 166.34/24.79  | | | | | | | | | | |            (374), (377), (386), (389), (390), (395), (396),
% 166.34/24.79  | | | | | | | | | | |            (407), (411), (413), (425), (429), (435), (439),
% 166.34/24.79  | | | | | | | | | | |            (441), (446), (448), (451), (453), (455), (460),
% 166.34/24.79  | | | | | | | | | | |            (462), (463), (465), (468), (530), (532), (533),
% 166.34/24.79  | | | | | | | | | | |            (534), (536), (537), (538), (539), (541), (542),
% 166.34/24.79  | | | | | | | | | | |            (544), (546), (548), (550), (552), (554), (556),
% 166.34/24.79  | | | | | | | | | | |            (557), (558), (567), (569), (570), (572), (574),
% 166.34/24.79  | | | | | | | | | | |            (576), (578), (621), (622), (627), (630), (631),
% 166.34/24.79  | | | | | | | | | | |            (633), (688), (740), (770), (772), (1984), (1985),
% 166.34/24.79  | | | | | | | | | | |            (1986), (1987), (1988), (1991), (1995), (1997),
% 166.34/24.79  | | | | | | | | | | |            (1998), (1999), (2000), (2001), (2003), (2006),
% 166.34/24.79  | | | | | | | | | | |            (2008), (2011), (function-axioms) are inconsistent
% 166.34/24.79  | | | | | | | | | | |            by sub-proof #521.
% 166.34/24.79  | | | | | | | | | | | 
% 166.34/24.79  | | | | | | | | | | End of split
% 166.34/24.79  | | | | | | | | | | 
% 166.34/24.79  | | | | | | | | | Case 2:
% 166.34/24.79  | | | | | | | | | | 
% 166.34/24.79  | | | | | | | | | |   (2012)  all_42_2 = e0
% 166.34/24.79  | | | | | | | | | | 
% 166.34/24.79  | | | | | | | | | | COMBINE_EQS: (494), (2012) imply:
% 166.34/24.79  | | | | | | | | | |   (2013)  all_6_2 = e0
% 166.34/24.79  | | | | | | | | | | 
% 166.34/24.79  | | | | | | | | | | SIMP: (2013) implies:
% 166.34/24.79  | | | | | | | | | |   (2014)  all_6_2 = e0
% 166.34/24.79  | | | | | | | | | | 
% 166.34/24.79  | | | | | | | | | | COMBINE_EQS: (536), (2014) imply:
% 166.34/24.79  | | | | | | | | | |   (2015)  all_56_0 = e0
% 166.34/24.79  | | | | | | | | | | 
% 166.34/24.79  | | | | | | | | | | COMBINE_EQS: (407), (2014) imply:
% 166.34/24.79  | | | | | | | | | |   (2016)  all_58_16 = e0
% 166.34/24.79  | | | | | | | | | | 
% 166.34/24.79  | | | | | | | | | | REDUCE: (546), (2014) imply:
% 166.34/24.79  | | | | | | | | | |   (2017)   ~ (all_52_2 = e0)
% 166.34/24.79  | | | | | | | | | | 
% 166.34/24.79  | | | | | | | | | | REDUCE: (552), (2014) imply:
% 166.34/24.79  | | | | | | | | | |   (2018)   ~ (all_52_8 = e0)
% 166.34/24.79  | | | | | | | | | | 
% 166.34/24.79  | | | | | | | | | | REDUCE: (42), (2014) imply:
% 166.34/24.79  | | | | | | | | | |   (2019)  op(e0, e3) = all_6_1
% 166.34/24.79  | | | | | | | | | | 
% 166.34/24.79  | | | | | | | | | | REDUCE: (619), (2014) imply:
% 166.34/24.79  | | | | | | | | | |   (2020)  op(e3, e0) = all_58_0
% 166.34/24.79  | | | | | | | | | | 
% 166.34/24.79  | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (154), (156), (157),
% 166.34/24.79  | | | | | | | | | |            (161), (162), (164), (165), (167), (170), (177),
% 166.34/24.79  | | | | | | | | | |            (178), (180), (183), (185), (187), (188), (189),
% 166.34/24.79  | | | | | | | | | |            (192), (193), (203), (204), (212), (235), (236),
% 166.34/24.79  | | | | | | | | | |            (239), (240), (241), (242), (245), (246), (247),
% 166.34/24.79  | | | | | | | | | |            (267), (269), (270), (271), (273), (275), (276),
% 166.34/24.79  | | | | | | | | | |            (277), (278), (279), (280), (283), (286), (287),
% 166.34/24.79  | | | | | | | | | |            (291), (292), (293), (294), (331), (333), (334),
% 166.34/24.79  | | | | | | | | | |            (335), (351), (356), (368), (371), (374), (377),
% 166.34/24.79  | | | | | | | | | |            (386), (389), (390), (395), (396), (411), (413),
% 166.34/24.79  | | | | | | | | | |            (425), (429), (431), (435), (439), (441), (446),
% 166.34/24.79  | | | | | | | | | |            (451), (453), (455), (456), (460), (462), (465),
% 166.34/24.79  | | | | | | | | | |            (533), (534), (537), (538), (539), (541), (542),
% 166.34/24.79  | | | | | | | | | |            (556), (557), (558), (567), (569), (570), (572),
% 166.34/24.79  | | | | | | | | | |            (574), (575), (576), (577), (674), (688), (740),
% 166.34/24.79  | | | | | | | | | |            (755), (772), (1980), (1984), (1985), (1986),
% 166.34/24.79  | | | | | | | | | |            (1987), (1988), (1990), (1991), (1996), (1997),
% 166.34/24.79  | | | | | | | | | |            (1998), (1999), (2000), (2003), (2006), (2015),
% 166.34/24.79  | | | | | | | | | |            (2016), (2017), (2018), (2019), (2020),
% 166.34/24.79  | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 166.34/24.79  | | | | | | | | | |            #489.
% 166.34/24.79  | | | | | | | | | | 
% 166.34/24.79  | | | | | | | | | End of split
% 166.34/24.79  | | | | | | | | | 
% 166.34/24.79  | | | | | | | | End of split
% 166.34/24.79  | | | | | | | | 
% 166.34/24.79  | | | | | | | End of split
% 166.34/24.79  | | | | | | | 
% 166.34/24.79  | | | | | | End of split
% 166.34/24.79  | | | | | | 
% 166.34/24.79  | | | | | Case 2:
% 166.34/24.79  | | | | | | 
% 166.34/24.79  | | | | | |   (2021)  all_14_0 = e1
% 166.34/24.79  | | | | | |   (2022)   ~ (all_14_1 = e2) |  ~ (all_14_2 = e3)
% 166.34/24.79  | | | | | | 
% 166.34/24.79  | | | | | | COMBINE_EQS: (763), (2021) imply:
% 166.34/24.79  | | | | | |   (2023)  all_16_0 = e1
% 166.34/24.79  | | | | | | 
% 166.34/24.79  | | | | | | REDUCE: (63), (2021) imply:
% 166.34/24.79  | | | | | |   (2024)  op(all_14_1, all_14_2) = e1
% 166.34/24.79  | | | | | | 
% 166.34/24.79  | | | | | | BETA: splitting (69) gives:
% 166.34/24.79  | | | | | | 
% 166.34/24.79  | | | | | | Case 1:
% 166.34/24.79  | | | | | | | 
% 166.34/24.79  | | | | | | |   (2025)   ~ (all_16_0 = e1)
% 166.34/24.79  | | | | | | | 
% 166.34/24.79  | | | | | | | REDUCE: (2023), (2025) imply:
% 166.34/24.79  | | | | | | |   (2026)  $false
% 166.34/24.79  | | | | | | | 
% 166.34/24.79  | | | | | | | CLOSE: (2026) is inconsistent.
% 166.34/24.79  | | | | | | | 
% 166.34/24.79  | | | | | | Case 2:
% 166.34/24.79  | | | | | | | 
% 166.34/24.79  | | | | | | |   (2027)   ~ (all_16_1 = e3) |  ~ (all_16_2 = e2)
% 166.34/24.79  | | | | | | | 
% 166.34/24.79  | | | | | | | BETA: splitting (79) gives:
% 166.34/24.79  | | | | | | | 
% 166.34/24.79  | | | | | | | Case 1:
% 166.34/24.79  | | | | | | | | 
% 166.34/24.79  | | | | | | | |   (2028)   ~ (all_20_1 = e0)
% 166.34/24.79  | | | | | | | | 
% 166.34/24.79  | | | | | | | | REDUCE: (682), (2028) imply:
% 166.34/24.79  | | | | | | | |   (2029)   ~ (all_10_1 = e0)
% 166.34/24.79  | | | | | | | | 
% 166.34/24.79  | | | | | | | | BETA: splitting (84) gives:
% 166.34/24.79  | | | | | | | | 
% 166.34/24.79  | | | | | | | | Case 1:
% 166.34/24.79  | | | | | | | | | 
% 166.34/24.79  | | | | | | | | |   (2030)   ~ (all_22_0 = e0)
% 166.34/24.79  | | | | | | | | | 
% 166.34/24.79  | | | | | | | | | REDUCE: (723), (2030) imply:
% 166.46/24.79  | | | | | | | | |   (2031)   ~ (all_10_0 = e0)
% 166.46/24.79  | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | BETA: splitting (89) gives:
% 166.46/24.79  | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | Case 1:
% 166.46/24.79  | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | |   (2032)   ~ (all_24_2 = e0)
% 166.46/24.79  | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | REDUCE: (510), (2032) imply:
% 166.46/24.79  | | | | | | | | | |   (2033)   ~ (all_4_2 = e0)
% 166.46/24.79  | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | BETA: splitting (131) gives:
% 166.46/24.79  | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | Case 1:
% 166.46/24.79  | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | |   (2034)   ~ (all_42_2 = e0)
% 166.46/24.79  | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | REDUCE: (494), (2034) imply:
% 166.46/24.79  | | | | | | | | | | |   (2035)   ~ (all_6_2 = e0)
% 166.46/24.79  | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | BETA: splitting (266) gives:
% 166.46/24.79  | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | Case 1:
% 166.46/24.79  | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | |   (2036)  all_56_15 = e0
% 166.46/24.79  | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | REF_CLOSE: (4), (61), (62), (533), (634), (2024), (2036),
% 166.46/24.79  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 166.46/24.79  | | | | | | | | | | | |            #400.
% 166.46/24.79  | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | Case 2:
% 166.46/24.79  | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | |   (2037)   ~ (all_56_15 = e0)
% 166.46/24.79  | | | | | | | | | | | |   (2038)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 166.46/24.79  | | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 166.46/24.79  | | | | | | | | | | | |             e0)
% 166.46/24.79  | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | ALPHA: (2038) implies:
% 166.46/24.79  | | | | | | | | | | | |   (2039)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 166.46/24.79  | | | | | | | | | | | |   (2040)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 166.46/24.79  | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | REDUCE: (533), (2037) imply:
% 166.46/24.79  | | | | | | | | | | | |   (2041)   ~ (all_14_2 = e0)
% 166.46/24.79  | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | BETA: splitting (238) gives:
% 166.46/24.79  | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | Case 1:
% 166.46/24.79  | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | |   (2042)  all_54_10 = e0
% 166.46/24.79  | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | REF_CLOSE: (530), (772), (2042) are inconsistent by sub-proof
% 166.46/24.79  | | | | | | | | | | | | |            #909.
% 166.46/24.79  | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | Case 2:
% 166.46/24.79  | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | |   (2043)   ~ (all_54_10 = e0)
% 166.46/24.79  | | | | | | | | | | | | |   (2044)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 166.46/24.79  | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | BETA: splitting (243) gives:
% 166.46/24.79  | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | Case 1:
% 166.46/24.79  | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | |   (2045)  all_54_5 = e0
% 166.46/24.79  | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | REF_CLOSE: (531), (2033), (2045) are inconsistent by
% 166.46/24.79  | | | | | | | | | | | | | |            sub-proof #983.
% 166.46/24.79  | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | Case 2:
% 166.46/24.79  | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | |   (2046)   ~ (all_54_5 = e0)
% 166.46/24.79  | | | | | | | | | | | | | |   (2047)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 166.46/24.79  | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 166.46/24.79  | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | Case 1:
% 166.46/24.79  | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | |   (2048)  all_54_0 = e0
% 166.46/24.79  | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | REF_CLOSE: (532), (2035), (2048) are inconsistent by
% 166.46/24.79  | | | | | | | | | | | | | | |            sub-proof #984.
% 166.46/24.79  | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | Case 2:
% 166.46/24.79  | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | |   (2049)   ~ (all_54_0 = e0)
% 166.46/24.79  | | | | | | | | | | | | | | |   (2050)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 166.46/24.79  | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 166.46/24.79  | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | Case 1:
% 166.46/24.79  | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | |   (2051)  all_54_15 = e0
% 166.46/24.79  | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | REF_CLOSE: (341), (2041), (2051) are inconsistent by
% 166.46/24.79  | | | | | | | | | | | | | | | |            sub-proof #910.
% 166.46/24.79  | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | Case 2:
% 166.46/24.79  | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | |   (2052)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 166.46/24.79  | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 166.46/24.79  | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | Case 1:
% 166.46/24.79  | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | |   (2053)  all_56_6 = e0
% 166.46/24.79  | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (2053) imply:
% 166.46/24.79  | | | | | | | | | | | | | | | | |   (2054)  all_52_2 = e0
% 166.46/24.79  | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (2054) imply:
% 166.46/24.79  | | | | | | | | | | | | | | | | |   (2055)  all_58_18 = e0
% 166.46/24.79  | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | REDUCE: (193), (2054) imply:
% 166.46/24.79  | | | | | | | | | | | | | | | | |   (2056)   ~ (all_52_1 = e0)
% 166.46/24.79  | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | REDUCE: (188), (2054) imply:
% 166.46/24.79  | | | | | | | | | | | | | | | | |   (2057)   ~ (all_52_3 = e0)
% 166.46/24.79  | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | SIMP: (2057) implies:
% 166.46/24.79  | | | | | | | | | | | | | | | | |   (2058)   ~ (all_52_3 = e0)
% 166.46/24.79  | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | REDUCE: (187), (2054) imply:
% 166.46/24.79  | | | | | | | | | | | | | | | | |   (2059)   ~ (all_52_6 = e0)
% 166.46/24.79  | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | SIMP: (2059) implies:
% 166.46/24.79  | | | | | | | | | | | | | | | | |   (2060)   ~ (all_52_6 = e0)
% 166.46/24.79  | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | REDUCE: (185), (2054) imply:
% 166.46/24.79  | | | | | | | | | | | | | | | | |   (2061)   ~ (all_52_14 = e0)
% 166.46/24.79  | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | SIMP: (2061) implies:
% 166.46/24.79  | | | | | | | | | | | | | | | | |   (2062)   ~ (all_52_14 = e0)
% 166.46/24.79  | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | REDUCE: (556), (2054) imply:
% 166.46/24.79  | | | | | | | | | | | | | | | | |   (2063)   ~ (all_10_2 = e0)
% 166.46/24.79  | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | REDUCE: (627), (2054) imply:
% 166.46/24.79  | | | | | | | | | | | | | | | | |   (2064)  op(e1, e0) = all_58_8
% 166.46/24.79  | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | REDUCE: (207), (2054) imply:
% 166.46/24.79  | | | | | | | | | | | | | | | | |   (2065)  op(e1, e3) = e0
% 166.46/24.79  | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 166.46/24.79  | | | | | | | | | | | | | | | | |              all_58_8, e0, e1, simplifying with (204), (2064)
% 166.46/24.79  | | | | | | | | | | | | | | | | |              gives:
% 166.46/24.79  | | | | | | | | | | | | | | | | |   (2066)  all_58_8 = all_52_14
% 166.46/24.79  | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 166.46/24.79  | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | Case 1:
% 166.46/24.79  | | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | |   (2067)  all_56_2 = e0
% 166.46/24.79  | | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (2067) imply:
% 166.46/24.79  | | | | | | | | | | | | | | | | | |   (2068)  all_52_1 = e0
% 166.46/24.79  | | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | | REDUCE: (2056), (2068) imply:
% 166.46/24.79  | | | | | | | | | | | | | | | | | |   (2069)  $false
% 166.46/24.79  | | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | | CLOSE: (2069) is inconsistent.
% 166.46/24.79  | | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | Case 2:
% 166.46/24.79  | | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | |   (2070)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 166.46/24.79  | | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 166.46/24.79  | | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | | Case 1:
% 166.46/24.79  | | | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | | |   (2071)  all_56_1 = e0
% 166.46/24.79  | | | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (2071) imply:
% 166.46/24.79  | | | | | | | | | | | | | | | | | | |   (2072)  all_52_4 = e0
% 166.46/24.79  | | | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (2072) imply:
% 166.46/24.79  | | | | | | | | | | | | | | | | | | |   (2073)  all_58_20 = e0
% 166.46/24.79  | | | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | | | REDUCE: (179), (2072) imply:
% 166.46/24.79  | | | | | | | | | | | | | | | | | | |   (2074)   ~ (all_52_7 = e0)
% 166.46/24.79  | | | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | | | SIMP: (2074) implies:
% 166.46/24.79  | | | | | | | | | | | | | | | | | | |   (2075)   ~ (all_52_7 = e0)
% 166.46/24.79  | | | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | | | REDUCE: (550), (2072) imply:
% 166.46/24.79  | | | | | | | | | | | | | | | | | | |   (2076)   ~ (all_6_2 = e0)
% 166.46/24.79  | | | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | | | REDUCE: (558), (2072) imply:
% 166.46/24.79  | | | | | | | | | | | | | | | | | | |   (2077)   ~ (all_4_2 = e0)
% 166.46/24.79  | | | | | | | | | | | | | | | | | | | 
% 166.46/24.79  | | | | | | | | | | | | | | | | | | | REDUCE: (214), (2072) imply:
% 166.46/24.79  | | | | | | | | | | | | | | | | | | |   (2078)  op(e3, e2) = e0
% 166.46/24.79  | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (52), (53),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (154), (156), (157), (161), (162), (169), (172),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (183), (189), (190), (209), (239), (242), (244),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (245), (267), (271), (275), (278), (280), (284),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (291), (293), (331), (333), (334), (335), (348),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (351), (356), (368), (374), (386), (389), (390),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (407), (411), (425), (429), (431), (435), (439),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (441), (448), (453), (456), (460), (531), (533),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (542), (544), (552), (554), (555), (560), (564),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (566), (567), (577), (578), (622), (623), (770),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (2031), (2033), (2035), (2039), (2047), (2053),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (2055), (2058), (2060), (2070), (2073), (2075),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (2078), (function-axioms) are inconsistent by
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            sub-proof #398.
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | Case 2:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |   (2079)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (41), (42), (52), (62), (154),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (169),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (170), (172), (177), (178), (180), (184), (189),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (190), (192), (204), (213), (236), (237), (239),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (241), (246), (247), (270), (271), (272), (275),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (276), (277), (279), (286), (291), (294), (295),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (331), (332), (334), (335), (347), (348), (356),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (368), (374), (377), (386), (389), (390), (395),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (396), (407), (425), (429), (431), (435), (439),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (441), (446), (451), (456), (462), (463), (465),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (530), (531), (532), (533), (534), (535), (536),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (537), (538), (539), (540), (542), (544), (548),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (550), (552), (554), (558), (560), (564), (567),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (569), (570), (574), (576), (577), (578), (619),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (620), (628), (772), (774), (2024), (2029),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (2033), (2040), (2044), (2047), (2050), (2053),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (2055), (2060), (2062), (2065), (2079),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            #395.
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | End of split
% 166.46/24.80  | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | End of split
% 166.46/24.80  | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | Case 2:
% 166.46/24.80  | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | |   (2080)   ~ (all_56_6 = e0)
% 166.46/24.80  | | | | | | | | | | | | | | | | |   (2081)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | REDUCE: (413), (2080) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | |   (2082)   ~ (all_52_2 = e0)
% 166.46/24.80  | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 166.46/24.80  | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | Case 1:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | |   (2083)  all_56_0 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (2083) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | |   (2084)  all_6_2 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | REDUCE: (2035), (2084) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | |   (2085)  $false
% 166.46/24.80  | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | CLOSE: (2085) is inconsistent.
% 166.46/24.80  | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | Case 2:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | |   (2086)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | Case 1:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |   (2087)  all_54_8 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (2082), (2087) are inconsistent by
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |            sub-proof #839.
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | Case 2:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |   (2088)   ~ (all_54_8 = e0)
% 166.46/24.80  | | | | | | | | | | | | | | | | | | |   (2089)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | Case 1:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | |   (2090)  all_56_2 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (2090) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | |   (2091)  all_52_1 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (2091) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | |   (2092)  all_58_17 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | REDUCE: (193), (2091) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | |   (2093)   ~ (all_52_2 = e0)
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (2091) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | |   (2094)   ~ (all_52_3 = e0)
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | SIMP: (2094) implies:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | |   (2095)   ~ (all_52_3 = e0)
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | REDUCE: (189), (2091) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | |   (2096)   ~ (all_52_13 = e0)
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | SIMP: (2096) implies:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | |   (2097)   ~ (all_52_13 = e0)
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (2091) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | |   (2098)   ~ (all_6_2 = e0)
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | |   (2099)  all_56_4 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (2099) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | |   (2100)  all_52_8 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (2100) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | |   (2101)  all_58_24 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (2100) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | |   (2102)   ~ (all_52_9 = e0)
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | SIMP: (2102) implies:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | |   (2103)   ~ (all_52_9 = e0)
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (2100) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | |   (2104)   ~ (all_52_11 = e0)
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | SIMP: (2104) implies:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | |   (2105)   ~ (all_52_11 = e0)
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (2100) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | |   (2106)   ~ (all_52_12 = e0)
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | SIMP: (2106) implies:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | |   (2107)   ~ (all_52_12 = e0)
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | REDUCE: (621), (2100) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | |   (2108)  op(e3, e0) = all_58_2
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2039) gives:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | |   (2109)  all_56_12 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (2095), (2109) are inconsistent by
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #919.
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | |   (2110)  all_56_13 = e0 | all_56_14 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2110) gives:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | |   (2111)  all_56_13 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (2111) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | |   (2112)  all_52_7 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (2112) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | |   (2113)  all_58_23 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (2112) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | |   (2114)   ~ (all_52_4 = e0)
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (2112) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | |   (2115)   ~ (all_4_2 = e0)
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2040) gives:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | |   (2116)  all_56_9 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (390), (2107), (2116) are inconsistent by
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #908.
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | |   (2117)  all_56_10 = e0 | all_56_11 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2117) gives:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | |   (2118)  all_56_10 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (439), (2097), (2118) are inconsistent by
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #943.
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | |   (2119)  all_56_11 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (2119) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | |   (2120)  all_52_14 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2120) implies:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | |   (2121)  all_52_14 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (356), (2121) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | |   (2122)  all_58_30 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (2121) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | |   (2123)   ~ (all_52_6 = e0)
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (2121) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | |   (2124)   ~ (all_14_2 = e0)
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | |              all_58_2, e0, e3, simplifying with (212), (2108)
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | |   (2125)  all_58_2 = all_52_12
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2126)  all_54_6 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (2103), (2126) are inconsistent by
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #901.
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2127)   ~ (all_54_6 = e0)
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2128)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2129)  all_54_1 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (2114), (2129) are inconsistent by
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #866.
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2130)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2131)  all_54_9 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (2131) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2132)  all_52_6 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2123), (2132) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2133)  $false
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2133) is inconsistent.
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2134)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (52), (62),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (161), (162), (180), (187), (188), (207), (212),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (236), (269), (270), (271), (274), (275), (276),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (278), (282), (291), (293), (295), (331), (332),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (334), (335), (341), (347), (351), (371), (374),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (377), (386), (390), (407), (413), (425), (431),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (435), (439), (446), (453), (455), (456), (465),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (531), (532), (533), (534), (535), (536), (537),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (538), (539), (542), (546), (548), (550), (554),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (556), (557), (558), (560), (564), (566), (570),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (572), (575), (576), (577), (628), (629), (2022),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2024), (2029), (2033), (2035), (2041), (2047),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2050), (2052), (2082), (2089), (2090), (2092),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2095), (2097), (2099), (2101), (2103), (2105),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2113), (2119), (2122), (2128), (2130), (2134),
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #394.
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | |   (2135)  all_56_14 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (2105), (2135) are inconsistent by
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #915.
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | End of split
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | |   (2136)   ~ (all_56_4 = e0)
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | REDUCE: (429), (2136) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | |   (2137)   ~ (all_52_8 = e0)
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | |   (2138)  all_56_0 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (2138) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | |   (2139)  all_6_2 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2035), (2139) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | |   (2140)  $false
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2140) is inconsistent.
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | |   (2141)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | |   (2142)  all_54_3 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (2142) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | |   (2143)  all_52_12 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2143) implies:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | |   (2144)  all_52_12 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (2144) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | |   (2145)  all_56_9 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (2144) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | |   (2146)  all_58_28 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (156), (2144) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | |   (2147)   ~ (all_52_14 = e0)
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2147) implies:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | |   (2148)   ~ (all_52_14 = e0)
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (2144) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | |   (2149)   ~ (all_14_2 = e0)
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2081) gives:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | |   (2150)  all_56_7 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (2150) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | |   (2151)  all_52_6 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (368), (2151) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | |   (2152)  all_58_22 = e0
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (180), (2151) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | |   (2153)   ~ (all_52_4 = e0)
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (2151) imply:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | |   (2154)   ~ (all_52_7 = e0)
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2154) implies:
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | |   (2155)   ~ (all_52_7 = e0)
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.80  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (567), (2151) imply:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | |   (2156)   ~ (all_10_2 = e0)
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (560), (2151) imply:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | |   (2157)   ~ (all_4_2 = e0)
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (2091) imply:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (2158)   ~ (all_52_9 = e0)
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2158) implies:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (2159)   ~ (all_52_9 = e0)
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (211), (2091) imply:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (2160)  op(e2, e3) = e0
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2161)  all_54_7 = e0
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (2161) imply:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2162)  all_52_13 = e0
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2097), (2162) imply:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2163)  $false
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2163) is inconsistent.
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2164)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2165)  all_54_6 = e0
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (2165) imply:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2166)  all_52_9 = e0
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2159), (2166) imply:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2167)  $false
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2167) is inconsistent.
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2168)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2169)  all_58_31 = e0
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (537), (2169) imply:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2170)  all_14_2 = e0
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2041), (2170) imply:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2171)  $false
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2171) is inconsistent.
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2172)   ~ (all_58_31 = e0)
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2173)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2174)  all_58_23 = e0
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (2174) imply:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2175)  all_52_7 = e0
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2155), (2175) imply:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2176)  $false
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2176) is inconsistent.
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2177)   ~ (all_58_23 = e0)
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2178)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2179)  all_58_19 = e0
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (2179) imply:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2180)  all_52_3 = e0
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2095), (2180) imply:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2181)  $false
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2181) is inconsistent.
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2182)   ~ (all_58_19 = e0)
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2183)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2184)  all_56_12 = e2
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (2184) imply:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2185)  all_52_3 = e2
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2185) implies:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2186)  all_52_3 = e2
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (188), (2186) imply:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2187)   ~ (all_52_2 = e2)
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (2186) imply:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2188)   ~ (all_6_2 = e2)
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2188) implies:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2189)   ~ (all_6_2 = e2)
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (185), (291), (335), (356), (371),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (374), (386), (407), (455), (532), (536), (541),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (542), (546), (550), (566), (2035), (2050),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2089), (2092), (2095), (2146), (2152), (2173),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2178), (2187), (2189) are inconsistent by
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #405.
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2190)   ~ (all_56_12 = e2)
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (2190) imply:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2191)   ~ (all_52_3 = e2)
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (293) gives:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2192)  all_56_0 = e2
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (42), (157), (161), (164), (167), (178),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (185), (280), (292), (334), (356), (371), (374),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (396), (407), (429), (431), (453), (462),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (536), (537), (538), (539), (541), (546), (556),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (564), (566), (625), (774), (2035), (2041),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2082), (2092), (2145), (2146), (2152), (2153),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2160), (2164), (2168), (2173), (2178), (2183),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2192), (function-axioms) are inconsistent by
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #393.
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2193)  all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2193) gives:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2194)  all_56_2 = e2
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2090), (2194) are inconsistent by sub-proof
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #443.
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2195)  all_56_6 = e2 | all_56_12 = e2
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2195) gives:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2196)  all_56_6 = e2
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (2196) imply:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2197)  all_52_2 = e2
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2197) implies:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2198)  all_52_2 = e2
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (2198) imply:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2199)  all_58_18 = e2
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (52), (53), (154), (178), (213),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (246), (247), (279), (286), (331), (333), (356),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (374), (386), (396), (407), (429), (446), (451),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (462), (530), (537), (540), (541), (550), (552),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (558), (566), (569), (574), (620), (626), (2031),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2035), (2041), (2044), (2092), (2137), (2146),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2152), (2153), (2155), (2160), (2164), (2183),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2199), (function-axioms) are inconsistent by
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #392.
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2200)  all_56_12 = e2
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (2191), (2200) are inconsistent by
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #953.
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (2201)   ~ (all_56_2 = e0)
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (2202)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (411), (2201) imply:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (2203)   ~ (all_52_1 = e0)
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (43), (154),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (183), (184), (185), (187), (189), (190), (193),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (209), (211), (234), (235), (244),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (245), (246), (247), (267), (268), (270), (272),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (275), (276), (277), (278), (282), (284), (285),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (286), (288), (290), (291), (292), (293), (294),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (295), (331), (332), (333), (334), (341), (347),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (348), (351), (356), (368), (371), (374), (377),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (389), (390), (395), (396), (407), (411),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (413), (425), (429), (431), (435), (439), (441),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (446), (448), (451), (455), (460), (466), (468),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (531), (532), (533), (534), (535), (536), (537),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (538), (539), (540), (541), (542), (544), (546),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (548), (550), (552), (554), (555), (556), (558),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (560), (562), (564), (566), (567), (568), (569),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (570), (572), (574), (575), (576), (577), (578),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (771), (772), (774), (2033), (2040), (2047),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (2050), (2052), (2081), (2082), (2086), (2089),
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | |            (2202), (2203), (function-axioms) are inconsistent
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #715.
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | |   (2204)  all_56_8 = e0 | all_56_11 = e0
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (534), (772), (2148), (2204) are
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #912.
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | |   (2205)   ~ (all_54_3 = e0)
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (460), (2205) imply:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | |   (2206)   ~ (all_52_12 = e0)
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2141) gives:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | |   (2207)  all_56_1 = e0
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (2207) imply:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | |   (2208)  all_52_4 = e0
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (2208) imply:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | |   (2209)  all_58_20 = e0
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (2208) imply:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | |   (2210)   ~ (all_52_7 = e0)
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2210) implies:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | |   (2211)   ~ (all_52_7 = e0)
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (2208) imply:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | |   (2212)   ~ (all_52_12 = e0)
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (558), (2208) imply:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | |   (2213)   ~ (all_4_2 = e0)
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (214), (2208) imply:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | |   (2214)  op(e3, e2) = e0
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.46/24.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (42), (154),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (164), (185), (187), (189),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (190), (192), (211), (241), (242), (280), (281),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (284), (291), (292), (294), (331), (333), (335),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (351), (356), (368), (371), (374), (386), (389),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (390), (407), (411), (413), (429), (431), (439),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (441), (453), (462), (531), (535), (536), (537),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (538), (540), (542), (544), (546), (548), (555),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (560), (564), (566), (578), (625), (770), (774),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (2040), (2047), (2090), (2206), (2207), (2209),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (2211), (2214), (function-axioms) are inconsistent
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #391.
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (2215)   ~ (all_56_2 = e0)
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (2216)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (411), (2215) imply:
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (2217)   ~ (all_52_1 = e0)
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (43), (154),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (183), (184), (185), (187), (189), (190), (193),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (209), (211), (234), (235), (244),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (245), (246), (247), (267), (268), (270), (272),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (275), (276), (277), (278), (282), (284), (285),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (286), (288), (290), (291), (292), (293), (294),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (295), (331), (332), (333), (334), (341), (347),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (348), (351), (356), (368), (371), (374), (377),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (389), (390), (395), (396), (407), (411),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (413), (425), (429), (431), (435), (439), (441),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (446), (448), (451), (455), (460), (466), (468),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (531), (532), (533), (534), (535), (536), (537),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (538), (539), (540), (541), (542), (544), (546),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (548), (550), (552), (554), (555), (556), (558),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (560), (562), (564), (566), (567), (568), (569),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (570), (572), (574), (575), (576), (577), (578),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (771), (772), (774), (2033), (2040), (2047),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (2050), (2052), (2081), (2082), (2086), (2089),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            (2216), (2217), (function-axioms) are inconsistent
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #715.
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | |   (2218)  all_56_4 = e0 | all_56_9 = e0
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (390), (429), (2137), (2206), (2218) are
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #563.
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | |   (2219)   ~ (all_56_2 = e0)
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | |   (2220)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | REDUCE: (411), (2219) imply:
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | |   (2221)   ~ (all_52_1 = e0)
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (43), (154),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | |            (183), (184), (185), (187), (189), (190), (193),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | |            (206), (207), (209), (211), (234), (235), (244),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | |            (245), (246), (247), (267), (268), (270), (272),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | |            (275), (276), (277), (278), (282), (284), (285),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | |            (286), (288), (290), (291), (292), (293), (294),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | |            (295), (331), (332), (333), (334), (341), (347),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | |            (348), (351), (356), (368), (371), (374), (377),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | |            (386), (389), (390), (395), (396), (407), (411),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | |            (413), (425), (429), (431), (435), (439), (441),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | |            (446), (448), (451), (455), (460), (466), (468),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | |            (531), (532), (533), (534), (535), (536), (537),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | |            (538), (539), (540), (541), (542), (544), (546),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | |            (548), (550), (552), (554), (555), (556), (558),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | |            (560), (562), (564), (566), (567), (568), (569),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | |            (570), (572), (574), (575), (576), (577), (578),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | |            (771), (772), (774), (2033), (2040), (2047),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | |            (2050), (2052), (2081), (2082), (2086), (2089),
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | |            (2220), (2221), (function-axioms) are inconsistent
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | |            by sub-proof #715.
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.87  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.87  | | | | | | | | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | | | | | | | | End of split
% 166.85/24.87  | | | | | | | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | | | | | | | End of split
% 166.85/24.87  | | | | | | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | | | | | | End of split
% 166.85/24.87  | | | | | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | | | | | End of split
% 166.85/24.87  | | | | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | | | | End of split
% 166.85/24.87  | | | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | | | End of split
% 166.85/24.87  | | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | | End of split
% 166.85/24.87  | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | Case 2:
% 166.85/24.87  | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | |   (2222)  all_42_2 = e0
% 166.85/24.87  | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (61), (62),
% 166.85/24.87  | | | | | | | | | | |            (154), (156), (157), (161), (162), (164), (165),
% 166.85/24.87  | | | | | | | | | | |            (167), (169), (170), (172), (177), (178), (179),
% 166.85/24.87  | | | | | | | | | | |            (180), (183), (184), (185), (187), (188), (189),
% 166.85/24.87  | | | | | | | | | | |            (190), (192), (193), (203), (204), (208), (212),
% 166.85/24.87  | | | | | | | | | | |            (233), (234), (237), (239), (241), (242), (243),
% 166.85/24.87  | | | | | | | | | | |            (244), (245), (246), (247), (266), (270), (273),
% 166.85/24.87  | | | | | | | | | | |            (274), (275), (276), (277), (278), (279), (280),
% 166.85/24.87  | | | | | | | | | | |            (281), (282), (284), (286), (287), (291), (293),
% 166.85/24.87  | | | | | | | | | | |            (294), (295), (330), (331), (332), (333), (334),
% 166.85/24.87  | | | | | | | | | | |            (335), (341), (347), (348), (351), (356), (368),
% 166.85/24.87  | | | | | | | | | | |            (371), (374), (377), (386), (389), (390), (395),
% 166.85/24.87  | | | | | | | | | | |            (396), (407), (411), (413), (425), (429), (431),
% 166.85/24.87  | | | | | | | | | | |            (435), (439), (441), (446), (448), (451), (453),
% 166.85/24.87  | | | | | | | | | | |            (456), (460), (462), (463), (468), (494), (531),
% 166.85/24.87  | | | | | | | | | | |            (533), (534), (535), (536), (537), (538), (539),
% 166.85/24.87  | | | | | | | | | | |            (540), (541), (542), (544), (546), (548), (550),
% 166.85/24.87  | | | | | | | | | | |            (552), (554), (555), (556), (558), (560), (562),
% 166.85/24.87  | | | | | | | | | | |            (564), (567), (569), (570), (572), (574), (576),
% 166.85/24.87  | | | | | | | | | | |            (577), (578), (619), (625), (626), (628), (630),
% 166.85/24.87  | | | | | | | | | | |            (632), (633), (634), (772), (2024), (2033),
% 166.85/24.87  | | | | | | | | | | |            (2222), (function-axioms) are inconsistent by
% 166.85/24.87  | | | | | | | | | | |            sub-proof #389.
% 166.85/24.87  | | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | End of split
% 166.85/24.87  | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | Case 2:
% 166.85/24.87  | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | |   (2223)  all_24_2 = e0
% 166.85/24.87  | | | | | | | | | |   (2224)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3)
% 166.85/24.87  | | | | | | | | | | 
% 166.85/24.87  | | | | | | | | | | COMBINE_EQS: (510), (2223) imply:
% 166.85/24.87  | | | | | | | | | |   (2225)  all_4_2 = e0
% 166.85/24.87  | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (38), (42),
% 166.85/24.88  | | | | | | | | | |            (43), (61), (62), (126), (131), (154), (156),
% 166.85/24.88  | | | | | | | | | |            (157), (161), (162), (164), (165), (167), (169),
% 166.85/24.88  | | | | | | | | | |            (170), (172), (177), (178), (179), (180), (183),
% 166.85/24.88  | | | | | | | | | |            (184), (185), (187), (188), (189), (190), (192),
% 166.85/24.88  | | | | | | | | | |            (193), (202), (203), (204), (207), (208), (209),
% 166.85/24.88  | | | | | | | | | |            (212), (234), (235), (236), (237), (238), (239),
% 166.85/24.88  | | | | | | | | | |            (240), (241), (242), (244), (245), (246), (247),
% 166.85/24.88  | | | | | | | | | |            (248), (266), (267), (269), (270), (271), (272),
% 166.85/24.88  | | | | | | | | | |            (273), (275), (276), (277), (278), (279), (280),
% 166.85/24.88  | | | | | | | | | |            (283), (284), (286), (287), (289), (290), (291),
% 166.85/24.88  | | | | | | | | | |            (292), (293), (294), (295), (330), (331), (332),
% 166.85/24.88  | | | | | | | | | |            (333), (334), (335), (347), (348), (351), (356),
% 166.85/24.88  | | | | | | | | | |            (368), (371), (374), (377), (386), (389), (390),
% 166.85/24.88  | | | | | | | | | |            (395), (396), (407), (411), (413), (425), (429),
% 166.85/24.88  | | | | | | | | | |            (431), (435), (439), (441), (446), (448), (451),
% 166.85/24.88  | | | | | | | | | |            (453), (455), (456), (460), (462), (463), (465),
% 166.85/24.88  | | | | | | | | | |            (466), (468), (494), (496), (530), (532), (533),
% 166.85/24.88  | | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 166.85/24.88  | | | | | | | | | |            (541), (542), (544), (546), (548), (550), (552),
% 166.85/24.88  | | | | | | | | | |            (554), (555), (556), (557), (558), (560), (562),
% 166.85/24.88  | | | | | | | | | |            (564), (567), (569), (570), (572), (574), (575),
% 166.85/24.88  | | | | | | | | | |            (576), (577), (578), (619), (621), (622), (624),
% 166.85/24.88  | | | | | | | | | |            (627), (630), (631), (633), (634), (674), (688),
% 166.85/24.88  | | | | | | | | | |            (740), (755), (772), (2024), (2224), (2225),
% 166.85/24.88  | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 166.85/24.88  | | | | | | | | | |            #388.
% 166.85/24.88  | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | End of split
% 166.85/24.88  | | | | | | | | | 
% 166.85/24.88  | | | | | | | | Case 2:
% 166.85/24.88  | | | | | | | | | 
% 166.85/24.88  | | | | | | | | |   (2226)  all_22_0 = e0
% 166.85/24.88  | | | | | | | | |   (2227)   ~ (all_22_1 = e2) |  ~ (all_22_2 = e3)
% 166.85/24.88  | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | COMBINE_EQS: (723), (2226) imply:
% 166.85/24.88  | | | | | | | | |   (2228)  all_10_0 = e0
% 166.85/24.88  | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | SIMP: (2228) implies:
% 166.85/24.88  | | | | | | | | |   (2229)  all_10_0 = e0
% 166.85/24.88  | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | COMBINE_EQS: (768), (2229) imply:
% 166.85/24.88  | | | | | | | | |   (2230)  all_38_0 = e0
% 166.85/24.88  | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | BETA: splitting (89) gives:
% 166.85/24.88  | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | Case 1:
% 166.85/24.88  | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | |   (2231)   ~ (all_24_2 = e0)
% 166.85/24.88  | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | REDUCE: (510), (2231) imply:
% 166.85/24.88  | | | | | | | | | |   (2232)   ~ (all_4_2 = e0)
% 166.85/24.88  | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | BETA: splitting (121) gives:
% 166.85/24.88  | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | Case 1:
% 166.85/24.88  | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | |   (2233)   ~ (all_38_0 = e0)
% 166.85/24.88  | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | REDUCE: (2230), (2233) imply:
% 166.85/24.88  | | | | | | | | | | |   (2234)  $false
% 166.85/24.88  | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | CLOSE: (2234) is inconsistent.
% 166.85/24.88  | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | Case 2:
% 166.85/24.88  | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | |   (2235)   ~ (all_38_1 = e3) |  ~ (all_38_2 = e2)
% 166.85/24.88  | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | BETA: splitting (131) gives:
% 166.85/24.88  | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | Case 1:
% 166.85/24.88  | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | |   (2236)   ~ (all_42_2 = e0)
% 166.85/24.88  | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | REDUCE: (494), (2236) imply:
% 166.85/24.88  | | | | | | | | | | | |   (2237)   ~ (all_6_2 = e0)
% 166.85/24.88  | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | BETA: splitting (266) gives:
% 166.85/24.88  | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | Case 1:
% 166.85/24.88  | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | |   (2238)  all_56_15 = e0
% 166.85/24.88  | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | REF_CLOSE: (4), (61), (62), (533), (634), (2024), (2238),
% 166.85/24.88  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 166.85/24.88  | | | | | | | | | | | | |            #400.
% 166.85/24.88  | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | Case 2:
% 166.85/24.88  | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | |   (2239)   ~ (all_56_15 = e0)
% 166.85/24.88  | | | | | | | | | | | | |   (2240)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 166.85/24.88  | | | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 166.85/24.88  | | | | | | | | | | | | |             e0)
% 166.85/24.88  | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | ALPHA: (2240) implies:
% 166.85/24.88  | | | | | | | | | | | | |   (2241)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 166.85/24.88  | | | | | | | | | | | | |   (2242)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 166.85/24.88  | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | REDUCE: (533), (2239) imply:
% 166.85/24.88  | | | | | | | | | | | | |   (2243)   ~ (all_14_2 = e0)
% 166.85/24.88  | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | BETA: splitting (238) gives:
% 166.85/24.88  | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | Case 1:
% 166.85/24.88  | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | |   (2244)  all_54_10 = e0
% 166.85/24.88  | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | REF_CLOSE: (530), (772), (2244) are inconsistent by sub-proof
% 166.85/24.88  | | | | | | | | | | | | | |            #909.
% 166.85/24.88  | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | Case 2:
% 166.85/24.88  | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | |   (2245)   ~ (all_54_10 = e0)
% 166.85/24.88  | | | | | | | | | | | | | |   (2246)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 166.85/24.88  | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 166.85/24.88  | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | Case 1:
% 166.85/24.88  | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | |   (2247)  all_54_5 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | REF_CLOSE: (531), (2232), (2247) are inconsistent by
% 166.85/24.88  | | | | | | | | | | | | | | |            sub-proof #983.
% 166.85/24.88  | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | Case 2:
% 166.85/24.88  | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | |   (2248)   ~ (all_54_5 = e0)
% 166.85/24.88  | | | | | | | | | | | | | | |   (2249)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 166.85/24.88  | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 166.85/24.88  | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | Case 1:
% 166.85/24.88  | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | |   (2250)  all_54_0 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | REF_CLOSE: (532), (2237), (2250) are inconsistent by
% 166.85/24.88  | | | | | | | | | | | | | | | |            sub-proof #984.
% 166.85/24.88  | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | Case 2:
% 166.85/24.88  | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | |   (2251)   ~ (all_54_0 = e0)
% 166.85/24.88  | | | | | | | | | | | | | | | |   (2252)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 166.85/24.88  | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 166.85/24.88  | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.88  | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | |   (2253)  all_54_15 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | REF_CLOSE: (341), (2243), (2253) are inconsistent by
% 166.85/24.88  | | | | | | | | | | | | | | | | |            sub-proof #910.
% 166.85/24.88  | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.88  | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | |   (2254)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 166.85/24.88  | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 166.85/24.88  | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | |   (2255)  all_54_2 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (451), (2255) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | |   (2256)  all_52_8 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | SIMP: (2256) implies:
% 166.85/24.88  | | | | | | | | | | | | | | | | | |   (2257)  all_52_8 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (2257) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | |   (2258)  all_56_4 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (2257) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | |   (2259)  all_58_24 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | REDUCE: (178), (2257) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | |   (2260)   ~ (all_52_4 = e0)
% 166.85/24.88  | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | REDUCE: (167), (2257) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | |   (2261)   ~ (all_52_9 = e0)
% 166.85/24.88  | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | SIMP: (2261) implies:
% 166.85/24.88  | | | | | | | | | | | | | | | | | |   (2262)   ~ (all_52_9 = e0)
% 166.85/24.88  | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | REDUCE: (165), (2257) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | |   (2263)   ~ (all_52_11 = e0)
% 166.85/24.88  | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | SIMP: (2263) implies:
% 166.85/24.88  | | | | | | | | | | | | | | | | | |   (2264)   ~ (all_52_11 = e0)
% 166.85/24.88  | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | REDUCE: (164), (2257) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | |   (2265)   ~ (all_52_12 = e0)
% 166.85/24.88  | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | SIMP: (2265) implies:
% 166.85/24.88  | | | | | | | | | | | | | | | | | |   (2266)   ~ (all_52_12 = e0)
% 166.85/24.88  | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | REDUCE: (552), (2257) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | |   (2267)   ~ (all_6_2 = e0)
% 166.85/24.88  | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | REDUCE: (621), (2257) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | |   (2268)  op(e3, e0) = all_58_2
% 166.85/24.88  | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 166.85/24.88  | | | | | | | | | | | | | | | | | |              all_58_2, e0, e3, simplifying with (212), (2268)
% 166.85/24.88  | | | | | | | | | | | | | | | | | |              gives:
% 166.85/24.88  | | | | | | | | | | | | | | | | | |   (2269)  all_58_2 = all_52_12
% 166.85/24.88  | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | |   (2270)  all_56_2 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (2270) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | |   (2271)  all_52_1 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (2271) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | |   (2272)  all_58_17 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | REDUCE: (192), (2271) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | |   (2273)   ~ (all_52_3 = e0)
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | SIMP: (2273) implies:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | |   (2274)   ~ (all_52_3 = e0)
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | REDUCE: (189), (2271) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | |   (2275)   ~ (all_52_13 = e0)
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | SIMP: (2275) implies:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | |   (2276)   ~ (all_52_13 = e0)
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | BETA: splitting (2241) gives:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | |   (2277)  all_56_12 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (2274), (2277) are inconsistent by
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | |            sub-proof #919.
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | |   (2278)  all_56_13 = e0 | all_56_14 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | BETA: splitting (2278) gives:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | |   (2279)  all_56_13 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (2279) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | |   (2280)  all_52_7 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | SIMP: (2280) implies:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | |   (2281)  all_52_7 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (2281) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | |   (2282)  all_58_23 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (2281) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | |   (2283)   ~ (all_4_2 = e0)
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2242) gives:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | |   (2284)  all_56_9 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (2284) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | |   (2285)  all_52_12 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2266), (2285) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | |   (2286)  $false
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2286) is inconsistent.
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | |   (2287)  all_56_10 = e0 | all_56_11 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2287) gives:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | |   (2288)  all_56_10 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (439), (2276), (2288) are inconsistent by
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #943.
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | |   (2289)  all_56_11 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (2289) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | |   (2290)  all_52_14 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2290) implies:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | |   (2291)  all_52_14 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (356), (2291) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | |   (2292)  all_58_30 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (185), (2291) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | |   (2293)   ~ (all_52_2 = e0)
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (2291) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | |   (2294)   ~ (all_52_6 = e0)
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (2291) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | |   (2295)   ~ (all_14_2 = e0)
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |   (2296)  all_54_6 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (2296) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |   (2297)  all_52_9 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2262), (2297) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |   (2298)  $false
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2298) is inconsistent.
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |   (2299)   ~ (all_54_6 = e0)
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |   (2300)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (52), (62),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (161), (162), (180), (187), (188), (207), (212),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (236), (239), (240), (247), (269), (270), (271),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (274), (275), (276), (278), (282), (291), (293),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (295), (331), (332), (334), (335), (341), (347),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (351), (371), (374), (377), (386), (390), (407),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (413), (425), (431), (435), (439), (446), (453),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (455), (456), (465), (531), (532), (533), (534),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (542), (546),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (548), (550), (554), (556), (557), (558), (560),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (564), (566), (570), (572), (575), (576), (577),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (628), (629), (2022), (2024), (2029), (2232),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (2237), (2243), (2249), (2252), (2254), (2258),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (2259), (2260), (2262), (2264), (2270), (2272),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (2274), (2276), (2282), (2289), (2292), (2293),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (2294), (2300), (function-axioms) are inconsistent
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #387.
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | |   (2301)  all_56_14 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (2264), (2301) are inconsistent by
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | |            sub-proof #915.
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | |   (2302)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | BETA: splitting (2302) gives:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | |   (2303)  all_56_3 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (2303) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | |   (2304)  all_4_2 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | REDUCE: (2232), (2304) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | |   (2305)  $false
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | CLOSE: (2305) is inconsistent.
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | |   (2306)  all_56_5 = e0 | all_56_10 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | BETA: splitting (2306) gives:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | |   (2307)  all_56_5 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (2307) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | |   (2308)  all_52_9 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | REDUCE: (2262), (2308) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | |   (2309)  $false
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | CLOSE: (2309) is inconsistent.
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | |   (2310)  all_56_10 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (2310) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | |   (2311)  all_52_13 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | SIMP: (2311) implies:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | |   (2312)  all_52_13 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (2312) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | |   (2313)  all_58_29 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | REDUCE: (189), (2312) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | |   (2314)   ~ (all_52_1 = e0)
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (2312) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | |   (2315)   ~ (all_4_2 = e0)
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | |   (2316)  all_56_1 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (2316) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | |   (2317)  all_52_4 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2260), (2317) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | |   (2318)  $false
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2318) is inconsistent.
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | |   (2319)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | |   (2320)  all_56_0 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (2320) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | |   (2321)  all_6_2 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2237), (2321) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | |   (2322)  $false
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2322) is inconsistent.
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | |   (2323)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |   (2324)  all_56_6 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (41), (42), (52), (62), (154),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (169),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (170), (172), (177), (178), (180), (184), (185),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (187), (189), (190), (192), (204), (207), (213),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (236), (237), (239), (241), (246), (247), (270),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (271), (272), (275), (276), (277), (279), (286),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (291), (294), (295), (331), (332), (334), (335),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (347), (348), (356), (368), (371), (374), (377),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (386), (389), (390), (395), (396), (407), (413),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (425), (429), (431), (435), (439), (441), (446),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (451), (456), (462), (463), (465), (530), (531),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (532), (533), (534), (535), (536), (537), (538),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (539), (540), (542), (544), (548), (550), (552),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (554), (556), (558), (560), (564), (567), (569),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (570), (574), (576), (577), (578), (619), (620),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (628), (774), (2024), (2029), (2232), (2242),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (2246), (2249), (2252), (2319), (2324),
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |            #386.
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |   (2325)   ~ (all_56_6 = e0)
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (413), (2325) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | |   (2326)   ~ (all_52_2 = e0)
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2323) gives:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (2327)  all_56_2 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (2327) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (2328)  all_52_1 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2314), (2328) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (2329)  $false
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2329) is inconsistent.
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (2330)  all_56_6 = e0 | all_56_12 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2330) gives:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2331)  all_56_6 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (2331) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2332)  all_52_2 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2326), (2332) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2333)  $false
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2333) is inconsistent.
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2334)  all_56_12 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (2334) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2335)  all_52_3 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2335) implies:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2336)  all_52_3 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (2336) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2337)  all_58_19 = e0
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (184), (2336) imply:
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2338)   ~ (all_52_7 = e0)
% 166.85/24.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2338) implies:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2339)   ~ (all_52_7 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (557), (2336) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2340)   ~ (all_14_2 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2319) gives:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2341)  all_56_3 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (2341) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2342)  all_4_2 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2232), (2342) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2343)  $false
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2343) is inconsistent.
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2344)  all_56_7 = e0 | all_56_13 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2344) gives:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2345)  all_56_7 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (2345) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2346)  all_52_6 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (368), (2346) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2347)  all_58_22 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (2346) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2348)   ~ (all_52_14 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2348) implies:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2349)   ~ (all_52_14 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (567), (2346) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2350)   ~ (all_10_2 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (206), (2346) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2351)  op(e1, e2) = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2352)  all_54_4 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (2352) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2353)  all_52_1 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2314), (2353) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2354)  $false
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2354) is inconsistent.
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2355)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (43), (169),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (177), (179), (185), (190), (193), (207), (209),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (211), (234), (235), (240), (247), (268), (276),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (278), (282), (286), (288), (291), (293), (294),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (295), (331), (332), (333), (334), (347), (348),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (356), (371), (377), (386), (390), (395), (396),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (407), (411), (413), (429), (431), (435), (441),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (446), (448), (455), (466), (468), (531), (532),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (541), (544), (546), (550), (554), (555), (556),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (558), (562), (564), (570), (572), (574), (771),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (772), (774), (2232), (2237), (2243), (2249),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2252), (2258), (2259), (2260), (2264), (2266),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2310), (2313), (2314), (2326), (2334), (2337),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2339), (2345), (2347), (2349), (2351), (2355),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #385.
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2356)  all_56_13 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (348), (2339), (2356) are inconsistent by
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #942.
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.89  | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | |   (2357)   ~ (all_54_2 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | REDUCE: (451), (2357) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | |   (2358)   ~ (all_52_8 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | |   (2359)  all_56_4 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (2359) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | |   (2360)  all_52_8 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | REDUCE: (2358), (2360) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | |   (2361)  $false
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | CLOSE: (2361) is inconsistent.
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | |   (2362)   ~ (all_56_4 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | |   (2363)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | |   (2364)  all_56_0 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (2364) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | |   (2365)  all_6_2 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | REDUCE: (2237), (2365) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | |   (2366)  $false
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | CLOSE: (2366) is inconsistent.
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | |   (2367)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | |   (2368)  all_54_1 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (2368) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | |   (2369)  all_52_4 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | SIMP: (2369) implies:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | |   (2370)  all_52_4 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (2370) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | |   (2371)  all_56_1 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (2370) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | |   (2372)  all_58_20 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (2370) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | |   (2373)   ~ (all_52_7 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | SIMP: (2373) implies:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | |   (2374)   ~ (all_52_7 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (2370) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | |   (2375)   ~ (all_52_12 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | SIMP: (2375) implies:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | |   (2376)   ~ (all_52_12 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | REDUCE: (550), (2370) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | |   (2377)   ~ (all_6_2 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | REDUCE: (558), (2370) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | |   (2378)   ~ (all_4_2 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | REDUCE: (214), (2370) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | |   (2379)  op(e3, e2) = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | |   (2380)  all_56_6 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (2380) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | |   (2381)  all_52_2 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (2381) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | |   (2382)  all_58_18 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (193), (2381) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | |   (2383)   ~ (all_52_1 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (188), (2381) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | |   (2384)   ~ (all_52_3 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | SIMP: (2384) implies:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | |   (2385)   ~ (all_52_3 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (52), (154),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (162), (169), (170), (183),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | |            (189), (190), (209), (242), (244), (267), (270),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | |            (275), (278), (280), (281), (282), (284), (291),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | |            (292), (293), (331), (333), (334), (335), (348),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | |            (351), (356), (358), (368), (374), (386), (389),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | |            (390), (407), (411), (425), (429), (431), (435),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | |            (439), (441), (448), (453), (531), (533), (534),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (540), (542),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | |            (544), (552), (554), (555), (560), (564), (566),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | |            (567), (570), (577), (578), (623), (687), (770),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | |            (2232), (2235), (2237), (2241), (2242), (2249),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | |            (2371), (2372), (2374), (2379), (2380), (2382),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | |            (2383), (2385), (function-axioms) are inconsistent
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #384.
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | |   (2386)   ~ (all_56_6 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (413), (2386) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | |   (2387)   ~ (all_52_2 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | |   (2388)  all_56_0 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (2388) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | |   (2389)  all_6_2 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2237), (2389) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | |   (2390)  $false
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2390) is inconsistent.
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | |   (2391)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |   (2392)  all_56_2 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (42), (154),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (164), (185), (187), (189),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            (190), (192), (211), (241), (242), (280), (281),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            (284), (291), (292), (294), (331), (333), (335),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            (351), (356), (368), (371), (374), (386), (389),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            (390), (407), (411), (413), (429), (431), (439),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            (441), (453), (462), (531), (535), (536), (537),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            (538), (540), (542), (544), (546), (548), (555),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            (560), (564), (566), (578), (625), (770), (774),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            (2242), (2249), (2371), (2372), (2374), (2376),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            (2379), (2392), (function-axioms) are inconsistent
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #391.
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |   (2393)   ~ (all_56_2 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (411), (2393) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |   (2394)   ~ (all_52_1 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (43), (154),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            (183), (184), (187), (188), (189), (190), (193),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (209), (211), (234), (235), (240),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            (245), (246), (247), (267), (270), (272), (275),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            (278), (282), (284), (285), (288), (290), (291),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            (292), (293), (294), (295), (331), (332), (333),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            (334), (341), (347), (348), (351), (356), (368),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            (374), (377), (386), (389), (390), (395), (396),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            (407), (411), (413), (425), (429), (431), (435),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            (439), (441), (446), (451), (455), (460), (466),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            (468), (532), (533), (534), (535), (536), (537),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            (538), (539), (540), (541), (542), (544), (546),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            (548), (550), (552), (554), (555), (556), (558),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            (560), (562), (564), (566), (567), (568), (569),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            (572), (574), (575), (576), (577), (578), (771),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            (772), (2242), (2252), (2254), (2363), (2387),
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            (2391), (2394), (function-axioms) are inconsistent
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #381.
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | |   (2395)   ~ (all_54_1 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (2395) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | |   (2396)   ~ (all_52_4 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2367) gives:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | |   (2397)  all_56_1 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (2397) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | |   (2398)  all_52_4 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2396), (2398) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | |   (2399)  $false
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2399) is inconsistent.
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | |   (2400)  all_56_4 = e0 | all_56_9 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2400) gives:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | |   (2401)  all_56_4 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (2401) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | |   (2402)  all_52_8 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2358), (2402) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | |   (2403)  $false
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2403) is inconsistent.
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | |   (2404)  all_56_9 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (2404) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | |   (2405)  all_52_12 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (2405) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | |   (2406)  all_58_28 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (156), (2405) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | |   (2407)   ~ (all_52_14 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2407) implies:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | |   (2408)   ~ (all_52_14 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (2405) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | |   (2409)   ~ (all_6_2 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |   (2410)  all_56_1 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (2410) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |   (2411)  all_52_4 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2396), (2411) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |   (2412)  $false
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2412) is inconsistent.
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | |   (2413)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | |   (2414)  all_56_2 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (2414) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | |   (2415)  all_52_1 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (2415) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | |   (2416)  all_58_17 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (193), (2415) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | |   (2417)   ~ (all_52_2 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2417) implies:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | |   (2418)   ~ (all_52_2 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (2415) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | |   (2419)   ~ (all_52_3 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2419) implies:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | |   (2420)   ~ (all_52_3 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (189), (2415) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | |   (2421)   ~ (all_52_13 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2421) implies:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | |   (2422)   ~ (all_52_13 = e0)
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (211), (2415) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | |   (2423)  op(e2, e3) = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2424)  all_56_6 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (2424) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2425)  all_52_2 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2418), (2425) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2426)  $false
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2426) is inconsistent.
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2427)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2427) gives:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2428)  all_56_7 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (2428) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2429)  all_52_6 = e0
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (368), (2429) imply:
% 166.85/24.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2430)  all_58_22 = e0
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (2429) imply:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2431)   ~ (all_52_7 = e0)
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2431) implies:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2432)   ~ (all_52_7 = e0)
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (560), (2429) imply:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2433)   ~ (all_4_2 = e0)
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2241) gives:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2434)  all_56_12 = e0
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (2420), (2434) are inconsistent by
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #919.
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2435)  all_56_13 = e0 | all_56_14 = e0
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2435) gives:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2436)  all_56_13 = e0
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (348), (2432), (2436) are inconsistent by
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #942.
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2437)  all_56_14 = e0
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (2437) imply:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2438)  all_52_11 = e0
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2438) implies:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2439)  all_52_11 = e0
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (2439) imply:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2440)   ~ (all_52_9 = e0)
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (2439) imply:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2441)   ~ (all_14_2 = e0)
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (572), (2439) imply:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2442)   ~ (all_10_2 = e0)
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2443)  all_54_7 = e0
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (2443) imply:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2444)  all_52_13 = e0
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2422), (2444) imply:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2445)  $false
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2445) is inconsistent.
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2446)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2447)  all_54_6 = e0
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (2447) imply:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2448)  all_52_9 = e0
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2440), (2448) imply:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2449)  $false
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2449) is inconsistent.
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2450)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2451)  all_58_31 = e0
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (537), (2451) imply:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2452)  all_14_2 = e0
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2243), (2452) imply:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2453)  $false
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2453) is inconsistent.
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2454)   ~ (all_58_31 = e0)
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2455)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2456)  all_58_23 = e0
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (2456) imply:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2457)  all_52_7 = e0
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2432), (2457) imply:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2458)  $false
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2458) is inconsistent.
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2459)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2460)  all_58_19 = e0
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (2460) imply:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2461)  all_52_3 = e0
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2420), (2461) imply:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2462)  $false
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2462) is inconsistent.
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2463)   ~ (all_58_19 = e0)
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2464)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (294) gives:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2465)  all_56_0 = e2
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (42), (157), (161), (164), (167), (178),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (185), (280), (292), (334), (356), (371), (374),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (396), (407), (429), (431), (453), (462),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (536), (537), (538), (539), (541), (546), (556),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (564), (566), (625), (774), (2237), (2243),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2396), (2404), (2406), (2416), (2418), (2423),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2430), (2446), (2450), (2455), (2459), (2464),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2465), (function-axioms) are inconsistent by
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #393.
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2466)   ~ (all_56_0 = e2)
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (2466) imply:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2467)   ~ (all_6_2 = e2)
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2468)  all_56_0 = e1
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (291), (351), (371), (407), (413),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (536), (546), (548), (2237), (2414), (2416),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2464), (2468) are inconsistent by sub-proof #701.
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2469)   ~ (all_56_0 = e1)
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (2469) imply:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2470)   ~ (all_6_2 = e1)
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2252) gives:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2471)  all_54_0 = e1
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (532), (2470), (2471) are inconsistent by
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #951.
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2472)   ~ (all_54_0 = e1)
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2473)  all_54_0 = e3 | all_54_0 = e2
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2473) gives:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2474)  all_54_0 = e2
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (532), (2467), (2474) are inconsistent by
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #946.
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2475)  all_54_0 = e3
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (2475) imply:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2476)  all_6_2 = e3
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2476) implies:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2477)  all_6_2 = e3
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (550), (2477) imply:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2478)   ~ (all_52_4 = e3)
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2459) gives:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2479)  all_58_22 = e1
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2430), (2479) are inconsistent by sub-proof
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #923.
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2480)  all_58_20 = e3 | all_58_21 = e2
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2480) gives:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2481)  all_58_21 = e2
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (386), (2481) imply:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2482)  all_4_2 = e2
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (2482) imply:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2483)   ~ (all_52_13 = e2)
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2455) gives:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2484)  all_58_30 = e1
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (356), (2484) imply:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2485)  all_52_14 = e1
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (2485) imply:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2486)   ~ (all_14_2 = e1)
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2486) implies:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2487)   ~ (all_14_2 = e1)
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (52), (172), (178),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (180), (185), (187), (188), (213), (246), (247),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (267), (268), (270), (279), (291), (331), (333),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (335), (348), (351), (356), (368), (371), (374),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (407), (413), (425), (429), (439), (441),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (446), (451), (511), (530), (533), (534), (536),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (537), (540), (541), (542), (546), (550), (552),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (558), (560), (562), (569), (574), (577), (620),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (676), (772), (2227), (2237), (2243), (2246),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2358), (2404), (2406), (2408), (2414), (2416),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2420), (2427), (2437), (2487), (function-axioms)
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #470.
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2488)  all_58_28 = e3 | all_58_29 = e2
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (374), (2406), (2483), (2488) are
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #844.
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2489)  all_58_20 = e3
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (2489) imply:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2490)  all_52_4 = e3
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2478), (2490) imply:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2491)  $false
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2491) is inconsistent.
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2492)  all_56_8 = e0 | all_56_11 = e0
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (534), (772), (2408), (2492) are
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #912.
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | |   (2493)   ~ (all_56_2 = e0)
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (411), (2493) imply:
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | |   (2494)   ~ (all_52_1 = e0)
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (41), (42), (43),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | |            (52), (62), (154), (156), (157), (161), (162),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | |            (164), (165), (167), (169), (170), (172), (177),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | |            (178), (179), (180), (183), (184), (185), (187),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | |            (188), (189), (190), (192), (193), (204), (206),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | |            (207), (209), (211), (213), (234), (235), (236),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | |            (237), (239), (240), (241), (245), (246), (247),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | |            (267), (270), (271), (272), (273), (275), (276),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | |            (277), (278), (279), (282), (284), (285), (286),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | |            (288), (289), (290), (291), (292), (293), (294),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | |            (295), (331), (332), (333), (334), (335), (341),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | |            (347), (348), (351), (356), (368), (371), (374),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | |            (377), (386), (389), (390), (395), (396), (407),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | |            (411), (413), (425), (429), (431), (435), (439),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | |            (441), (446), (451), (455), (456), (460), (462),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | |            (463), (465), (466), (468), (530), (531), (532),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | |            (533), (534), (535), (536), (537), (538), (539),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | |            (540), (541), (542), (544), (546), (548), (550),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | |            (552), (554), (555), (556), (558), (560), (562),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | |            (564), (566), (567), (568), (569), (570), (572),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | |            (574), (575), (576), (577), (578), (619), (620),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | |            (628), (771), (772), (774), (2024), (2029),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | |            (2232), (2237), (2242), (2246), (2249), (2252),
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | |            (2254), (2363), (2413), (2494), (function-axioms)
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #379.
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | Case 2:
% 166.85/24.90  | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | |   (2495)  all_42_2 = e0
% 166.85/24.90  | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (61), (62),
% 166.85/24.90  | | | | | | | | | | | |            (154), (156), (157), (161), (162), (164), (165),
% 166.85/24.90  | | | | | | | | | | | |            (167), (169), (170), (172), (177), (178), (179),
% 166.85/24.90  | | | | | | | | | | | |            (180), (183), (184), (185), (187), (188), (189),
% 166.85/24.90  | | | | | | | | | | | |            (190), (192), (193), (203), (204), (208), (212),
% 166.85/24.90  | | | | | | | | | | | |            (233), (234), (237), (239), (241), (242), (243),
% 166.85/24.90  | | | | | | | | | | | |            (244), (245), (246), (247), (266), (270), (273),
% 166.85/24.90  | | | | | | | | | | | |            (274), (275), (276), (277), (278), (279), (280),
% 166.85/24.90  | | | | | | | | | | | |            (281), (282), (284), (286), (287), (291), (293),
% 166.85/24.90  | | | | | | | | | | | |            (294), (295), (330), (331), (332), (333), (334),
% 166.85/24.90  | | | | | | | | | | | |            (335), (341), (347), (348), (351), (356), (368),
% 166.85/24.90  | | | | | | | | | | | |            (371), (374), (377), (386), (389), (390), (395),
% 166.85/24.90  | | | | | | | | | | | |            (396), (407), (411), (413), (425), (429), (431),
% 166.85/24.90  | | | | | | | | | | | |            (435), (439), (441), (446), (448), (451), (453),
% 166.85/24.90  | | | | | | | | | | | |            (456), (460), (462), (463), (468), (494), (531),
% 166.85/24.90  | | | | | | | | | | | |            (533), (534), (535), (536), (537), (538), (539),
% 166.85/24.90  | | | | | | | | | | | |            (540), (541), (542), (544), (546), (548), (550),
% 166.85/24.90  | | | | | | | | | | | |            (552), (554), (555), (556), (558), (560), (562),
% 166.85/24.90  | | | | | | | | | | | |            (564), (567), (569), (570), (572), (574), (576),
% 166.85/24.90  | | | | | | | | | | | |            (577), (578), (619), (625), (626), (628), (630),
% 166.85/24.90  | | | | | | | | | | | |            (632), (633), (634), (772), (2024), (2232),
% 166.85/24.90  | | | | | | | | | | | |            (2495), (function-axioms) are inconsistent by
% 166.85/24.90  | | | | | | | | | | | |            sub-proof #389.
% 166.85/24.90  | | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | End of split
% 166.85/24.90  | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | Case 2:
% 166.85/24.90  | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | |   (2496)  all_24_2 = e0
% 166.85/24.90  | | | | | | | | | |   (2497)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3)
% 166.85/24.90  | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | COMBINE_EQS: (510), (2496) imply:
% 166.85/24.90  | | | | | | | | | |   (2498)  all_4_2 = e0
% 166.85/24.90  | | | | | | | | | | 
% 166.85/24.90  | | | | | | | | | | SIMP: (2498) implies:
% 166.85/24.90  | | | | | | | | | |   (2499)  all_4_2 = e0
% 166.85/24.90  | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (38), (42),
% 166.85/24.91  | | | | | | | | | |            (43), (61), (62), (126), (131), (154), (156),
% 166.85/24.91  | | | | | | | | | |            (157), (161), (162), (164), (165), (167), (169),
% 166.85/24.91  | | | | | | | | | |            (170), (172), (177), (178), (179), (180), (183),
% 166.85/24.91  | | | | | | | | | |            (184), (185), (187), (188), (189), (190), (192),
% 166.85/24.91  | | | | | | | | | |            (193), (202), (203), (204), (207), (208), (209),
% 166.85/24.91  | | | | | | | | | |            (212), (234), (235), (236), (237), (238), (239),
% 166.85/24.91  | | | | | | | | | |            (240), (241), (242), (244), (245), (246), (247),
% 166.85/24.91  | | | | | | | | | |            (248), (266), (267), (269), (270), (271), (272),
% 166.85/24.91  | | | | | | | | | |            (273), (275), (276), (277), (278), (279), (280),
% 166.85/24.91  | | | | | | | | | |            (283), (284), (286), (287), (289), (290), (291),
% 166.85/24.91  | | | | | | | | | |            (292), (293), (294), (295), (330), (331), (332),
% 166.85/24.91  | | | | | | | | | |            (333), (334), (335), (347), (348), (351), (356),
% 166.85/24.91  | | | | | | | | | |            (368), (371), (374), (377), (386), (389), (390),
% 166.85/24.91  | | | | | | | | | |            (395), (396), (407), (411), (413), (425), (429),
% 166.85/24.91  | | | | | | | | | |            (431), (435), (439), (441), (446), (448), (451),
% 166.85/24.91  | | | | | | | | | |            (453), (455), (456), (460), (462), (463), (465),
% 166.85/24.91  | | | | | | | | | |            (466), (468), (494), (496), (530), (532), (533),
% 166.85/24.91  | | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 166.85/24.91  | | | | | | | | | |            (541), (542), (544), (546), (548), (550), (552),
% 166.85/24.91  | | | | | | | | | |            (554), (555), (556), (557), (558), (560), (562),
% 166.85/24.91  | | | | | | | | | |            (564), (567), (569), (570), (572), (574), (575),
% 166.85/24.91  | | | | | | | | | |            (576), (577), (578), (619), (621), (622), (624),
% 166.85/24.91  | | | | | | | | | |            (627), (630), (631), (633), (634), (674), (688),
% 166.85/24.91  | | | | | | | | | |            (740), (755), (772), (2024), (2497), (2499),
% 166.85/24.91  | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 166.85/24.91  | | | | | | | | | |            #388.
% 166.85/24.91  | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | End of split
% 166.85/24.91  | | | | | | | | | 
% 166.85/24.91  | | | | | | | | End of split
% 166.85/24.91  | | | | | | | | 
% 166.85/24.91  | | | | | | | Case 2:
% 166.85/24.91  | | | | | | | | 
% 166.85/24.91  | | | | | | | |   (2500)  all_20_1 = e0
% 166.85/24.91  | | | | | | | | 
% 166.85/24.91  | | | | | | | | COMBINE_EQS: (682), (2500) imply:
% 166.85/24.91  | | | | | | | |   (2501)  all_10_1 = e0
% 166.85/24.91  | | | | | | | | 
% 166.85/24.91  | | | | | | | | SIMP: (2501) implies:
% 166.85/24.91  | | | | | | | |   (2502)  all_10_1 = e0
% 166.85/24.91  | | | | | | | | 
% 166.85/24.91  | | | | | | | | COMBINE_EQS: (646), (2502) imply:
% 166.85/24.91  | | | | | | | |   (2503)  all_34_1 = e0
% 166.85/24.91  | | | | | | | | 
% 166.85/24.91  | | | | | | | | REDUCE: (53), (2502) imply:
% 166.85/24.91  | | | | | | | |   (2504)  op(e0, all_10_2) = all_10_0
% 166.85/24.91  | | | | | | | | 
% 166.85/24.91  | | | | | | | | REDUCE: (52), (2502) imply:
% 166.85/24.91  | | | | | | | |   (2505)  op(all_10_2, e1) = e0
% 166.85/24.91  | | | | | | | | 
% 166.85/24.91  | | | | | | | | BETA: splitting (89) gives:
% 166.85/24.91  | | | | | | | | 
% 166.85/24.91  | | | | | | | | Case 1:
% 166.85/24.91  | | | | | | | | | 
% 166.85/24.91  | | | | | | | | |   (2506)   ~ (all_24_2 = e0)
% 166.85/24.91  | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | REDUCE: (510), (2506) imply:
% 166.85/24.91  | | | | | | | | |   (2507)   ~ (all_4_2 = e0)
% 166.85/24.91  | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | BETA: splitting (112) gives:
% 166.85/24.91  | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | Case 1:
% 166.85/24.91  | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | |   (2508)   ~ (all_34_1 = e0)
% 166.85/24.91  | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | REDUCE: (2503), (2508) imply:
% 166.85/24.91  | | | | | | | | | |   (2509)  $false
% 166.85/24.91  | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | CLOSE: (2509) is inconsistent.
% 166.85/24.91  | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | Case 2:
% 166.85/24.91  | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | |   (2510)   ~ (all_34_0 = e2) |  ~ (all_34_2 = e3)
% 166.85/24.91  | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | BETA: splitting (131) gives:
% 166.85/24.91  | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | Case 1:
% 166.85/24.91  | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | |   (2511)   ~ (all_42_2 = e0)
% 166.85/24.91  | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | REDUCE: (494), (2511) imply:
% 166.85/24.91  | | | | | | | | | | |   (2512)   ~ (all_6_2 = e0)
% 166.85/24.91  | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | BETA: splitting (266) gives:
% 166.85/24.91  | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | Case 1:
% 166.85/24.91  | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | |   (2513)  all_56_15 = e0
% 166.85/24.91  | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | REF_CLOSE: (4), (61), (62), (533), (634), (2024), (2513),
% 166.85/24.91  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 166.85/24.91  | | | | | | | | | | | |            #400.
% 166.85/24.91  | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | Case 2:
% 166.85/24.91  | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | |   (2514)   ~ (all_56_15 = e0)
% 166.85/24.91  | | | | | | | | | | | |   (2515)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 166.85/24.91  | | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 166.85/24.91  | | | | | | | | | | | |             e0)
% 166.85/24.91  | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | ALPHA: (2515) implies:
% 166.85/24.91  | | | | | | | | | | | |   (2516)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 166.85/24.91  | | | | | | | | | | | |   (2517)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 166.85/24.91  | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | REDUCE: (533), (2514) imply:
% 166.85/24.91  | | | | | | | | | | | |   (2518)   ~ (all_14_2 = e0)
% 166.85/24.91  | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | BETA: splitting (238) gives:
% 166.85/24.91  | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | Case 1:
% 166.85/24.91  | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | |   (2519)  all_54_10 = e0
% 166.85/24.91  | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | COMBINE_EQS: (530), (2519) imply:
% 166.85/24.91  | | | | | | | | | | | | |   (2520)  all_10_2 = e0
% 166.85/24.91  | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | REDUCE: (772), (2520) imply:
% 166.85/24.91  | | | | | | | | | | | | |   (2521)  $false
% 166.85/24.91  | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | CLOSE: (2521) is inconsistent.
% 166.85/24.91  | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | Case 2:
% 166.85/24.91  | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | |   (2522)   ~ (all_54_10 = e0)
% 166.85/24.91  | | | | | | | | | | | | |   (2523)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 166.85/24.91  | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | BETA: splitting (243) gives:
% 166.85/24.91  | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | Case 1:
% 166.85/24.91  | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | |   (2524)  all_54_5 = e0
% 166.85/24.91  | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | REF_CLOSE: (531), (2507), (2524) are inconsistent by
% 166.85/24.91  | | | | | | | | | | | | | |            sub-proof #983.
% 166.85/24.91  | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | Case 2:
% 166.85/24.91  | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | |   (2525)   ~ (all_54_5 = e0)
% 166.85/24.91  | | | | | | | | | | | | | |   (2526)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 166.85/24.91  | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 166.85/24.91  | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | Case 1:
% 166.85/24.91  | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | |   (2527)  all_54_0 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | REF_CLOSE: (532), (2512), (2527) are inconsistent by
% 166.85/24.91  | | | | | | | | | | | | | | |            sub-proof #984.
% 166.85/24.91  | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | Case 2:
% 166.85/24.91  | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | |   (2528)   ~ (all_54_0 = e0)
% 166.85/24.91  | | | | | | | | | | | | | | |   (2529)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 166.85/24.91  | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 166.85/24.91  | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | Case 1:
% 166.85/24.91  | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | |   (2530)  all_54_15 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | COMBINE_EQS: (341), (2530) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | |   (2531)  all_14_2 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | REDUCE: (2518), (2531) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | |   (2532)  $false
% 166.85/24.91  | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | CLOSE: (2532) is inconsistent.
% 166.85/24.91  | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | Case 2:
% 166.85/24.91  | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | |   (2533)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 166.85/24.91  | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 166.85/24.91  | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.91  | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | |   (2534)  all_56_2 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (2534) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | |   (2535)  all_52_1 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (2535) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | |   (2536)  all_58_17 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | REDUCE: (190), (2535) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | |   (2537)   ~ (all_52_9 = e0)
% 166.85/24.91  | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | SIMP: (2537) implies:
% 166.85/24.91  | | | | | | | | | | | | | | | | |   (2538)   ~ (all_52_9 = e0)
% 166.85/24.91  | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | REDUCE: (189), (2535) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | |   (2539)   ~ (all_52_13 = e0)
% 166.85/24.91  | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | SIMP: (2539) implies:
% 166.85/24.91  | | | | | | | | | | | | | | | | |   (2540)   ~ (all_52_13 = e0)
% 166.85/24.91  | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | REDUCE: (555), (2535) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | |   (2541)   ~ (all_4_2 = e0)
% 166.85/24.91  | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 166.85/24.91  | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | |   (2542)  all_56_4 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (2542) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | |   (2543)  all_52_8 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (2543) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | |   (2544)  all_58_24 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | REDUCE: (178), (2543) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | |   (2545)   ~ (all_52_4 = e0)
% 166.85/24.91  | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | REDUCE: (164), (2543) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | |   (2546)   ~ (all_52_12 = e0)
% 166.85/24.91  | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | SIMP: (2546) implies:
% 166.85/24.91  | | | | | | | | | | | | | | | | | |   (2547)   ~ (all_52_12 = e0)
% 166.85/24.91  | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | REDUCE: (552), (2543) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | |   (2548)   ~ (all_6_2 = e0)
% 166.85/24.91  | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | BETA: splitting (2517) gives:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | |   (2549)  all_56_9 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (2549) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | |   (2550)  all_52_12 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | REDUCE: (2547), (2550) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | |   (2551)  $false
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | CLOSE: (2551) is inconsistent.
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | |   (2552)  all_56_10 = e0 | all_56_11 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | BETA: splitting (2552) gives:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | |   (2553)  all_56_10 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (2553) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | |   (2554)  all_52_13 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | REDUCE: (2540), (2554) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | |   (2555)  $false
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | CLOSE: (2555) is inconsistent.
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | |   (2556)  all_56_11 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (2556) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | |   (2557)  all_52_14 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (356), (2557) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | |   (2558)  all_58_30 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | REDUCE: (185), (2557) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | |   (2559)   ~ (all_52_2 = e0)
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (2557) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | |   (2560)   ~ (all_52_6 = e0)
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (2557) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | |   (2561)   ~ (all_10_2 = e0)
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | |   (2562)  all_56_1 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (2562) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | |   (2563)  all_52_4 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | REDUCE: (2545), (2563) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | |   (2564)  $false
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | CLOSE: (2564) is inconsistent.
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | |   (2565)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2565) gives:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | |   (2566)  all_56_3 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (2566) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | |   (2567)  all_4_2 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2507), (2567) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | |   (2568)  $false
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2568) is inconsistent.
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | |   (2569)  all_56_7 = e0 | all_56_13 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2569) gives:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | |   (2570)  all_56_7 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (2570) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | |   (2571)  all_52_6 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2560), (2571) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | |   (2572)  $false
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2572) is inconsistent.
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | |   (2573)  all_56_13 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (2573) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | |   (2574)  all_52_7 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2574) implies:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | |   (2575)  all_52_7 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (2575) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | |   (2576)  all_58_23 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (184), (2575) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | |   (2577)   ~ (all_52_3 = e0)
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (2575) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | |   (2578)   ~ (all_52_11 = e0)
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2578) implies:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | |   (2579)   ~ (all_52_11 = e0)
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (2575) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | |   (2580)   ~ (all_14_2 = e0)
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (161), (162),
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | |            (278), (291), (293), (295), (331), (332), (334),
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | |            (335), (347), (351), (371), (374), (377), (386),
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | |            (407), (413), (431), (435), (532), (534), (536),
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | |            (537), (538), (539), (542), (546), (548), (554),
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | |            (556), (564), (572), (629), (772), (2505), (2512),
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | |            (2518), (2529), (2534), (2536), (2538), (2540),
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | |            (2542), (2544), (2558), (2559), (2576), (2577),
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | |            (2579), (function-axioms) are inconsistent by
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #375.
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.91  | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | |   (2581)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | BETA: splitting (2581) gives:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | |   (2582)  all_56_5 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (2582) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | |   (2583)  all_52_9 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | REDUCE: (2538), (2583) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | |   (2584)  $false
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | CLOSE: (2584) is inconsistent.
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | |   (2585)  all_56_8 = e0 | all_56_14 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | BETA: splitting (2585) gives:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | |   (2586)  all_56_8 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (2586) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | |   (2587)  all_10_2 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | REDUCE: (772), (2587) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | |   (2588)  $false
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | CLOSE: (2588) is inconsistent.
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | |   (2589)  all_56_14 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (2589) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | |   (2590)  all_52_11 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | SIMP: (2590) implies:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | |   (2591)  all_52_11 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (2591) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | |   (2592)  all_58_27 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | REDUCE: (183), (2591) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | |   (2593)   ~ (all_52_3 = e0)
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (2591) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | |   (2594)   ~ (all_52_7 = e0)
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | |   (2595)  all_56_1 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (42), (154),
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (164), (177), (179), (185),
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | |            (187), (189), (190), (192), (211), (214), (241),
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | |            (242), (280), (281), (284), (291), (292), (294),
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | |            (331), (333), (335), (351), (356), (368), (371),
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | |            (374), (386), (389), (390), (396), (407), (411),
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | |            (413), (429), (431), (439), (441), (453), (462),
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | |            (531), (535), (536), (537), (538), (540), (541),
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | |            (542), (544), (546), (548), (558), (560), (564),
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | |            (566), (578), (625), (770), (774), (2517), (2526),
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | |            (2538), (2540), (2595), (function-axioms) are
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #693.
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | |   (2596)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2596) gives:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | |   (2597)  all_56_3 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (2597) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | |   (2598)  all_4_2 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2507), (2598) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | |   (2599)  $false
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2599) is inconsistent.
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | |   (2600)  all_56_7 = e0 | all_56_13 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2600) gives:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | |   (2601)  all_56_7 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (2601) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | |   (2602)  all_52_6 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (368), (2602) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | |   (2603)  all_58_22 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (2602) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | |   (2604)   ~ (all_52_2 = e0)
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (2602) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | |   (2605)   ~ (all_52_7 = e0)
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (2602) imply:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | |   (2606)   ~ (all_52_14 = e0)
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2606) implies:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | |   (2607)   ~ (all_52_14 = e0)
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | |   (2608)  all_54_12 = e0
% 166.85/24.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (465), (2608) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | |   (2609)  all_52_3 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2593), (2609) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | |   (2610)  $false
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2610) is inconsistent.
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | |   (2611)   ~ (all_54_12 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | |   (2612)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (2613)  all_54_13 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (466), (2594), (2613) are inconsistent by
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #800.
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (2614)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (9), (156), (157), (164), (177), (178),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | |            (179), (184), (185), (188), (213), (247), (248),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | |            (267), (268), (269), (270), (272), (276), (286),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | |            (288), (291), (293), (294), (295), (331), (333),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | |            (334), (335), (348), (351), (356), (371), (374),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (390), (396), (407), (413), (429), (439),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | |            (441), (446), (465), (466), (519), (532), (533),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | |            (541), (542), (546), (548), (550), (552), (554),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | |            (556), (557), (558), (562), (566), (568), (569),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | |            (576), (620), (2027), (2505), (2507), (2517),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | |            (2534), (2536), (2540), (2589), (2592), (2593),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | |            (2594), (2601), (2603), (2604), (2607), (2612),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | |            (2614), (function-axioms) are inconsistent by
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #367.
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | |   (2615)  all_56_13 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (348), (2594), (2615) are inconsistent by
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #942.
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.92  | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | End of split
% 166.85/24.92  | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.92  | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | |   (2616)   ~ (all_56_2 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | |   (2617)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | REDUCE: (411), (2616) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | |   (2618)   ~ (all_52_1 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 166.85/24.92  | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | |   (2619)  all_56_0 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (2619) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | |   (2620)  all_6_2 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | REDUCE: (2512), (2620) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | |   (2621)  $false
% 166.85/24.92  | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | CLOSE: (2621) is inconsistent.
% 166.85/24.92  | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | |   (2622)   ~ (all_56_0 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | |   (2623)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | |   (2624)  all_54_4 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (2618), (2624) are inconsistent by
% 166.85/24.92  | | | | | | | | | | | | | | | | | | |            sub-proof #902.
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | |   (2625)   ~ (all_54_4 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | |   (2626)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | |   (2627)  all_54_2 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (451), (2627) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | |   (2628)  all_52_8 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | SIMP: (2628) implies:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | |   (2629)  all_52_8 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (2629) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | |   (2630)  all_56_4 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (2629) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | |   (2631)  all_58_24 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (2629) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | |   (2632)   ~ (all_52_9 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | SIMP: (2632) implies:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | |   (2633)   ~ (all_52_9 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (2629) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | |   (2634)   ~ (all_52_11 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | SIMP: (2634) implies:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | |   (2635)   ~ (all_52_11 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | REDUCE: (569), (2629) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | |   (2636)   ~ (all_10_2 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | BETA: splitting (2617) gives:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | |   (2637)  all_56_3 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (2637) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | |   (2638)  all_4_2 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | REDUCE: (2507), (2638) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | |   (2639)  $false
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | CLOSE: (2639) is inconsistent.
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | |   (2640)  all_56_5 = e0 | all_56_10 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2640) gives:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | |   (2641)  all_56_5 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (2641) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | |   (2642)  all_52_9 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2633), (2642) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | |   (2643)  $false
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2643) is inconsistent.
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | |   (2644)  all_56_10 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (2644) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | |   (2645)  all_52_13 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (2645) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | |   (2646)  all_58_29 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (2645) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | |   (2647)   ~ (all_52_12 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (154), (2645) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | |   (2648)   ~ (all_52_14 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | SIMP: (2648) implies:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | |   (2649)   ~ (all_52_14 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | |   (2650)  all_56_6 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (2650) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | |   (2651)  all_52_2 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (2651) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | |   (2652)  all_58_18 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (188), (2651) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | |   (2653)   ~ (all_52_3 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2653) implies:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | |   (2654)   ~ (all_52_3 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (2651) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | |   (2655)   ~ (all_6_2 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2516) gives:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | |   (2656)  all_56_12 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (2654), (2656) are inconsistent by
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #919.
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | |   (2657)  all_56_13 = e0 | all_56_14 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2657) gives:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (2658)  all_56_13 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (2658) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (2659)  all_52_7 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2659) implies:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (2660)  all_52_7 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (2660) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (2661)   ~ (all_14_2 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2662)  all_54_12 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (465), (2662) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2663)  all_52_3 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2654), (2663) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2664)  $false
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2664) is inconsistent.
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2665)   ~ (all_54_12 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2666)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (51), (161), (189),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (190), (192), (203), (244), (267), (269), (293),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (295), (331), (332), (335), (341), (347), (351),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (356), (374), (377), (389), (390), (407), (411),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (435), (439), (441), (448), (465), (504), (530),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (532), (533), (536), (537), (538), (539), (542),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (544), (548), (554), (557), (570), (572), (574),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (575), (577), (578), (629), (634), (767), (772),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (2504), (2505), (2510), (2512), (2517), (2518),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (2523), (2529), (2533), (2631), (2635), (2646),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (2647), (2649), (2650), (2652), (2654), (2658),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (2666), (function-axioms) are inconsistent by
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #364.
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (2667)  all_56_14 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (2635), (2667) are inconsistent by
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #915.
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | |   (2668)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2668) gives:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | |   (2669)  all_56_7 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (2669) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | |   (2670)  all_52_6 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (368), (2670) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | |   (2671)  all_58_22 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (2670) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | |   (2672)   ~ (all_52_2 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (180), (2670) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | |   (2673)   ~ (all_52_4 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (560), (2670) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | |   (2674)   ~ (all_4_2 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (206), (2670) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | |   (2675)  op(e1, e2) = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2623) gives:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (2676)  all_56_2 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (2676) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (2677)  all_52_1 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2618), (2677) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (2678)  $false
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2678) is inconsistent.
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (2679)  all_56_6 = e0 | all_56_12 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2516) gives:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2680)  all_56_12 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (2680) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2681)  all_52_3 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2681) implies:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2682)  all_52_3 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (2682) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2683)  all_58_19 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (184), (2682) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2684)   ~ (all_52_7 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2684) implies:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2685)   ~ (all_52_7 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (557), (2682) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2686)   ~ (all_14_2 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (2682) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2687)   ~ (all_6_2 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (43), (169),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (177), (179), (185), (190), (193), (207), (209),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (211), (234), (235), (240), (247), (268), (276),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (278), (282), (286), (288), (291), (293), (294),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (295), (331), (332), (333), (334), (347), (348),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (356), (371), (377), (386), (390), (395), (396),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (407), (411), (413), (429), (431), (435), (441),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (446), (448), (455), (466), (468), (531), (532),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (541), (544), (546), (550), (554), (555), (556),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (558), (562), (564), (570), (572), (574), (771),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (772), (774), (2507), (2512), (2518), (2526),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (2529), (2618), (2626), (2630), (2631), (2635),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (2644), (2646), (2647), (2649), (2669), (2671),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (2672), (2673), (2675), (2680), (2683), (2685),
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            #385.
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2688)   ~ (all_56_12 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (2688) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2689)   ~ (all_52_3 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (413), (2672), (2679), (2689) are
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #918.
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | |   (2690)  all_56_8 = e0 | all_56_11 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (534), (772), (2649), (2690) are
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #912.
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | |   (2691)   ~ (all_54_2 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | REDUCE: (451), (2691) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | |   (2692)   ~ (all_52_8 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | |   (2693)  all_56_4 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (2693) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | |   (2694)  all_52_8 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | REDUCE: (2692), (2694) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | |   (2695)  $false
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | CLOSE: (2695) is inconsistent.
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | |   (2696)   ~ (all_56_4 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | |   (2697)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | |   (2698)  all_56_0 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (2698) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | |   (2699)  all_6_2 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2512), (2699) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | |   (2700)  $false
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2700) is inconsistent.
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | |   (2701)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | |   (2702)  all_56_6 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (2702) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | |   (2703)  all_52_2 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (2703) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | |   (2704)  all_58_18 = e0
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (188), (2703) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | |   (2705)   ~ (all_52_3 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2705) implies:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | |   (2706)   ~ (all_52_3 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (2703) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | |   (2707)   ~ (all_52_6 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2707) implies:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | |   (2708)   ~ (all_52_6 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (185), (2703) imply:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | |   (2709)   ~ (all_52_14 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2709) implies:
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | |   (2710)   ~ (all_52_14 = e0)
% 166.85/24.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (51), (154),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (164), (167), (169), (170),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (172), (177), (178), (179), (180), (184), (185),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (187), (188), (189), (190), (192), (193), (209),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (214), (236), (239), (241), (242), (244), (247),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (248), (271), (272), (273), (276), (278), (280),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (282), (285), (286), (289), (292), (294), (296),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (331), (332), (333), (334), (335), (347), (348),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (351), (356), (368), (371), (374), (377), (386),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (389), (390), (395), (396), (407), (411), (413),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (425), (429), (431), (435), (439), (441), (446),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (448), (453), (456), (462), (465), (530), (531),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (532), (533), (534), (535), (536), (537), (538),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (539), (540), (541), (542), (544), (546), (548),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (550), (552), (554), (555), (558), (560), (562),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (564), (566), (567), (568), (569), (570), (574),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (577), (578), (622), (623), (629), (770), (2505),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (2507), (2516), (2517), (2523), (2526), (2617),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (2692), (2701), (2702), (2704), (2706), (2708),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (2710), (function-axioms) are inconsistent by
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #361.
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |   (2711)   ~ (all_56_6 = e0)
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (413), (2711) imply:
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |   (2712)   ~ (all_52_2 = e0)
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (43), (154),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (183), (184), (187), (188), (189), (190), (193),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (209), (211), (234), (235), (240),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (245), (246), (247), (267), (270), (272), (275),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (278), (282), (284), (285), (288), (290), (291),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (292), (293), (294), (295), (331), (332), (333),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (334), (341), (347), (348), (351), (356), (368),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (374), (377), (386), (389), (390), (395), (396),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (407), (411), (413), (425), (429), (431), (435),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (439), (441), (446), (451), (455), (460), (466),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (468), (532), (533), (534), (535), (536), (537),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (538), (539), (540), (541), (542), (544), (546),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (548), (550), (552), (554), (555), (556), (558),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (560), (562), (564), (566), (567), (568), (569),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (572), (574), (575), (576), (577), (578), (771),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (772), (2517), (2529), (2533), (2618), (2623),
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            (2697), (2712), (function-axioms) are inconsistent
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #381.
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.93  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.93  | | | | | | | | | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | | | | | | | | End of split
% 166.85/24.93  | | | | | | | | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | | | | | | | End of split
% 166.85/24.93  | | | | | | | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | | | | | | End of split
% 166.85/24.93  | | | | | | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | | | | | End of split
% 166.85/24.93  | | | | | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | | | | End of split
% 166.85/24.93  | | | | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | | | End of split
% 166.85/24.93  | | | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | | End of split
% 166.85/24.93  | | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | Case 2:
% 166.85/24.93  | | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | |   (2713)  all_42_2 = e0
% 166.85/24.93  | | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (61), (62),
% 166.85/24.93  | | | | | | | | | | |            (154), (156), (157), (161), (162), (164), (165),
% 166.85/24.93  | | | | | | | | | | |            (167), (169), (170), (172), (177), (178), (179),
% 166.85/24.93  | | | | | | | | | | |            (180), (183), (184), (185), (187), (188), (189),
% 166.85/24.93  | | | | | | | | | | |            (190), (192), (193), (203), (204), (208), (212),
% 166.85/24.93  | | | | | | | | | | |            (233), (234), (237), (239), (241), (242), (243),
% 166.85/24.93  | | | | | | | | | | |            (244), (245), (246), (247), (266), (270), (273),
% 166.85/24.93  | | | | | | | | | | |            (274), (275), (276), (277), (278), (279), (280),
% 166.85/24.93  | | | | | | | | | | |            (281), (282), (284), (286), (287), (291), (293),
% 166.85/24.93  | | | | | | | | | | |            (294), (295), (330), (331), (332), (333), (334),
% 166.85/24.93  | | | | | | | | | | |            (335), (341), (347), (348), (351), (356), (368),
% 166.85/24.93  | | | | | | | | | | |            (371), (374), (377), (386), (389), (390), (395),
% 166.85/24.93  | | | | | | | | | | |            (396), (407), (411), (413), (425), (429), (431),
% 166.85/24.93  | | | | | | | | | | |            (435), (439), (441), (446), (448), (451), (453),
% 166.85/24.93  | | | | | | | | | | |            (456), (460), (462), (463), (468), (494), (531),
% 166.85/24.93  | | | | | | | | | | |            (533), (534), (535), (536), (537), (538), (539),
% 166.85/24.93  | | | | | | | | | | |            (540), (541), (542), (544), (546), (548), (550),
% 166.85/24.93  | | | | | | | | | | |            (552), (554), (555), (556), (558), (560), (562),
% 166.85/24.93  | | | | | | | | | | |            (564), (567), (569), (570), (572), (574), (576),
% 166.85/24.93  | | | | | | | | | | |            (577), (578), (619), (625), (626), (628), (630),
% 166.85/24.93  | | | | | | | | | | |            (632), (633), (634), (772), (2024), (2507),
% 166.85/24.93  | | | | | | | | | | |            (2713), (function-axioms) are inconsistent by
% 166.85/24.93  | | | | | | | | | | |            sub-proof #389.
% 166.85/24.93  | | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | End of split
% 166.85/24.93  | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | End of split
% 166.85/24.93  | | | | | | | | | 
% 166.85/24.93  | | | | | | | | Case 2:
% 166.85/24.93  | | | | | | | | | 
% 166.85/24.93  | | | | | | | | |   (2714)  all_24_2 = e0
% 166.85/24.93  | | | | | | | | |   (2715)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3)
% 166.85/24.93  | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | COMBINE_EQS: (510), (2714) imply:
% 166.85/24.93  | | | | | | | | |   (2716)  all_4_2 = e0
% 166.85/24.93  | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | SIMP: (2716) implies:
% 166.85/24.93  | | | | | | | | |   (2717)  all_4_2 = e0
% 166.85/24.93  | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (38), (42),
% 166.85/24.93  | | | | | | | | |            (43), (61), (62), (126), (131), (154), (156),
% 166.85/24.93  | | | | | | | | |            (157), (161), (162), (164), (165), (167), (169),
% 166.85/24.93  | | | | | | | | |            (170), (172), (177), (178), (179), (180), (183),
% 166.85/24.93  | | | | | | | | |            (184), (185), (187), (188), (189), (190), (192),
% 166.85/24.93  | | | | | | | | |            (193), (202), (203), (204), (207), (208), (209),
% 166.85/24.93  | | | | | | | | |            (212), (234), (235), (236), (237), (238), (239),
% 166.85/24.93  | | | | | | | | |            (240), (241), (242), (244), (245), (246), (247),
% 166.85/24.93  | | | | | | | | |            (248), (266), (267), (269), (270), (271), (272),
% 166.85/24.93  | | | | | | | | |            (273), (275), (276), (277), (278), (279), (280),
% 166.85/24.93  | | | | | | | | |            (283), (284), (286), (287), (289), (290), (291),
% 166.85/24.93  | | | | | | | | |            (292), (293), (294), (295), (330), (331), (332),
% 166.85/24.93  | | | | | | | | |            (333), (334), (335), (347), (348), (351), (356),
% 166.85/24.93  | | | | | | | | |            (368), (371), (374), (377), (386), (389), (390),
% 166.85/24.93  | | | | | | | | |            (395), (396), (407), (411), (413), (425), (429),
% 166.85/24.93  | | | | | | | | |            (431), (435), (439), (441), (446), (448), (451),
% 166.85/24.93  | | | | | | | | |            (453), (455), (456), (460), (462), (463), (465),
% 166.85/24.93  | | | | | | | | |            (466), (468), (494), (496), (530), (532), (533),
% 166.85/24.93  | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 166.85/24.93  | | | | | | | | |            (541), (542), (544), (546), (548), (550), (552),
% 166.85/24.93  | | | | | | | | |            (554), (555), (556), (557), (558), (560), (562),
% 166.85/24.93  | | | | | | | | |            (564), (567), (569), (570), (572), (574), (575),
% 166.85/24.93  | | | | | | | | |            (576), (577), (578), (619), (621), (622), (624),
% 166.85/24.93  | | | | | | | | |            (627), (630), (631), (633), (634), (674), (688),
% 166.85/24.93  | | | | | | | | |            (740), (755), (772), (2024), (2715), (2717),
% 166.85/24.93  | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 166.85/24.93  | | | | | | | | |            #388.
% 166.85/24.93  | | | | | | | | | 
% 166.85/24.93  | | | | | | | | End of split
% 166.85/24.93  | | | | | | | | 
% 166.85/24.93  | | | | | | | End of split
% 166.85/24.93  | | | | | | | 
% 166.85/24.93  | | | | | | End of split
% 166.85/24.93  | | | | | | 
% 166.85/24.93  | | | | | End of split
% 166.85/24.93  | | | | | 
% 166.85/24.93  | | | | Case 2:
% 166.85/24.93  | | | | | 
% 166.85/24.93  | | | | |   (2718)  all_12_1 = e0
% 166.85/24.93  | | | | |   (2719)   ~ (all_12_0 = e2) |  ~ (all_12_2 = e1)
% 166.85/24.93  | | | | | 
% 166.85/24.93  | | | | | COMBINE_EQS: (640), (2718) imply:
% 166.85/24.93  | | | | |   (2720)  all_6_1 = e0
% 166.85/24.93  | | | | | 
% 166.85/24.93  | | | | | COMBINE_EQS: (685), (2720) imply:
% 166.85/24.93  | | | | |   (2721)  all_26_1 = e0
% 166.85/24.93  | | | | | 
% 166.85/24.93  | | | | | REDUCE: (43), (2720) imply:
% 166.85/24.93  | | | | |   (2722)  op(e0, all_6_2) = all_6_0
% 166.85/24.93  | | | | | 
% 166.85/24.93  | | | | | REDUCE: (42), (2720) imply:
% 166.85/24.93  | | | | |   (2723)  op(all_6_2, e3) = e0
% 166.85/24.93  | | | | | 
% 166.85/24.93  | | | | | BETA: splitting (64) gives:
% 166.85/24.93  | | | | | 
% 166.85/24.93  | | | | | Case 1:
% 166.85/24.93  | | | | | | 
% 166.85/24.93  | | | | | |   (2724)   ~ (all_14_0 = e1)
% 166.85/24.93  | | | | | | 
% 166.85/24.93  | | | | | | BETA: splitting (89) gives:
% 166.85/24.93  | | | | | | 
% 166.85/24.93  | | | | | | Case 1:
% 166.85/24.93  | | | | | | | 
% 166.85/24.93  | | | | | | |   (2725)   ~ (all_24_2 = e0)
% 166.85/24.93  | | | | | | | 
% 166.85/24.93  | | | | | | | REDUCE: (510), (2725) imply:
% 166.85/24.93  | | | | | | |   (2726)   ~ (all_4_2 = e0)
% 166.85/24.93  | | | | | | | 
% 166.85/24.93  | | | | | | | BETA: splitting (94) gives:
% 166.85/24.93  | | | | | | | 
% 166.85/24.93  | | | | | | | Case 1:
% 166.85/24.93  | | | | | | | | 
% 166.85/24.93  | | | | | | | |   (2727)   ~ (all_26_1 = e0)
% 166.85/24.93  | | | | | | | | 
% 166.85/24.93  | | | | | | | | REDUCE: (2721), (2727) imply:
% 166.85/24.93  | | | | | | | |   (2728)  $false
% 166.85/24.93  | | | | | | | | 
% 166.85/24.93  | | | | | | | | CLOSE: (2728) is inconsistent.
% 166.85/24.93  | | | | | | | | 
% 166.85/24.93  | | | | | | | Case 2:
% 166.85/24.93  | | | | | | | | 
% 166.85/24.93  | | | | | | | |   (2729)   ~ (all_26_0 = e1) |  ~ (all_26_2 = e2)
% 166.85/24.93  | | | | | | | | 
% 166.85/24.93  | | | | | | | | BETA: splitting (266) gives:
% 166.85/24.93  | | | | | | | | 
% 166.85/24.93  | | | | | | | | Case 1:
% 166.85/24.93  | | | | | | | | | 
% 166.85/24.93  | | | | | | | | |   (2730)  all_56_15 = e0
% 166.85/24.93  | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | COMBINE_EQS: (533), (2730) imply:
% 166.85/24.93  | | | | | | | | |   (2731)  all_14_2 = e0
% 166.85/24.93  | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | SIMP: (2731) implies:
% 166.85/24.93  | | | | | | | | |   (2732)  all_14_2 = e0
% 166.85/24.93  | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | REDUCE: (568), (2732) imply:
% 166.85/24.93  | | | | | | | | |   (2733)   ~ (all_52_7 = e0)
% 166.85/24.93  | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | REDUCE: (575), (2732) imply:
% 166.85/24.93  | | | | | | | | |   (2734)   ~ (all_52_11 = e0)
% 166.85/24.93  | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | REDUCE: (576), (2732) imply:
% 166.85/24.93  | | | | | | | | |   (2735)   ~ (all_52_12 = e0)
% 166.85/24.93  | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | REDUCE: (577), (2732) imply:
% 166.85/24.93  | | | | | | | | |   (2736)   ~ (all_52_13 = e0)
% 166.85/24.93  | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | REDUCE: (578), (2732) imply:
% 166.85/24.93  | | | | | | | | |   (2737)   ~ (all_52_14 = e0)
% 166.85/24.93  | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | REDUCE: (63), (2732) imply:
% 166.85/24.93  | | | | | | | | |   (2738)  op(all_14_1, e0) = all_14_0
% 166.85/24.93  | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | REDUCE: (62), (2732) imply:
% 166.85/24.93  | | | | | | | | |   (2739)  op(e0, e0) = all_14_1
% 166.85/24.93  | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | REDUCE: (634), (2732) imply:
% 166.85/24.93  | | | | | | | | |   (2740)  op(e0, e0) = all_58_15
% 166.85/24.93  | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | REDUCE: (61), (2732) imply:
% 166.85/24.93  | | | | | | | | |   (2741)  op(e0, e0) = e0
% 166.85/24.93  | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1,
% 166.85/24.93  | | | | | | | | |              all_58_15, e0, e0, simplifying with (2739), (2740)
% 166.85/24.93  | | | | | | | | |              gives:
% 166.85/24.93  | | | | | | | | |   (2742)  all_58_15 = all_14_1
% 166.85/24.93  | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 166.85/24.93  | | | | | | | | |              all_58_15, e0, e0, simplifying with (2740), (2741)
% 166.85/24.93  | | | | | | | | |              gives:
% 166.85/24.93  | | | | | | | | |   (2743)  all_58_15 = e0
% 166.85/24.93  | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | COMBINE_EQS: (2742), (2743) imply:
% 166.85/24.93  | | | | | | | | |   (2744)  all_14_1 = e0
% 166.85/24.93  | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | SIMP: (2744) implies:
% 166.85/24.93  | | | | | | | | |   (2745)  all_14_1 = e0
% 166.85/24.93  | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | REDUCE: (2738), (2745) imply:
% 166.85/24.93  | | | | | | | | |   (2746)  op(e0, e0) = all_14_0
% 166.85/24.93  | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_14_0,
% 166.85/24.93  | | | | | | | | |              e0, e0, simplifying with (2741), (2746) gives:
% 166.85/24.93  | | | | | | | | |   (2747)  all_14_0 = e0
% 166.85/24.93  | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | REDUCE: (2724), (2747) imply:
% 166.85/24.93  | | | | | | | | |   (2748)   ~ (e1 = e0)
% 166.85/24.93  | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | BETA: splitting (273) gives:
% 166.85/24.93  | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | Case 1:
% 166.85/24.93  | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | |   (2749)  all_56_6 = e0
% 166.85/24.93  | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | COMBINE_EQS: (413), (2749) imply:
% 166.85/24.93  | | | | | | | | | |   (2750)  all_52_2 = e0
% 166.85/24.93  | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | COMBINE_EQS: (371), (2750) imply:
% 166.85/24.93  | | | | | | | | | |   (2751)  all_58_18 = e0
% 166.85/24.93  | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | REDUCE: (188), (2750) imply:
% 166.85/24.93  | | | | | | | | | |   (2752)   ~ (all_52_3 = e0)
% 166.85/24.93  | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | SIMP: (2752) implies:
% 166.85/24.93  | | | | | | | | | |   (2753)   ~ (all_52_3 = e0)
% 166.85/24.93  | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | REDUCE: (187), (2750) imply:
% 166.85/24.93  | | | | | | | | | |   (2754)   ~ (all_52_6 = e0)
% 166.85/24.93  | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | SIMP: (2754) implies:
% 166.85/24.93  | | | | | | | | | |   (2755)   ~ (all_52_6 = e0)
% 166.85/24.93  | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | REDUCE: (556), (2750) imply:
% 166.85/24.93  | | | | | | | | | |   (2756)   ~ (all_10_2 = e0)
% 166.85/24.93  | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | BETA: splitting (285) gives:
% 166.85/24.93  | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | Case 1:
% 166.85/24.93  | | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | |   (2757)  all_56_1 = e0
% 166.85/24.93  | | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | | COMBINE_EQS: (396), (2757) imply:
% 166.85/24.93  | | | | | | | | | | |   (2758)  all_52_4 = e0
% 166.85/24.93  | | | | | | | | | | | 
% 166.85/24.93  | | | | | | | | | | | SIMP: (2758) implies:
% 166.85/24.94  | | | | | | | | | | |   (2759)  all_52_4 = e0
% 166.85/24.94  | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | COMBINE_EQS: (541), (2759) imply:
% 166.85/24.94  | | | | | | | | | | |   (2760)  all_58_20 = e0
% 166.85/24.94  | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | REDUCE: (179), (2759) imply:
% 166.85/24.94  | | | | | | | | | | |   (2761)   ~ (all_52_7 = e0)
% 166.85/24.94  | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | REDUCE: (178), (2759) imply:
% 166.85/24.94  | | | | | | | | | | |   (2762)   ~ (all_52_8 = e0)
% 166.85/24.94  | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | SIMP: (2762) implies:
% 166.85/24.94  | | | | | | | | | | |   (2763)   ~ (all_52_8 = e0)
% 166.85/24.94  | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | REDUCE: (550), (2759) imply:
% 166.85/24.94  | | | | | | | | | | |   (2764)   ~ (all_6_2 = e0)
% 166.85/24.94  | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | SIMP: (2764) implies:
% 166.85/24.94  | | | | | | | | | | |   (2765)   ~ (all_6_2 = e0)
% 166.85/24.94  | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | REDUCE: (214), (2759) imply:
% 166.85/24.94  | | | | | | | | | | |   (2766)  op(e3, e2) = e0
% 166.85/24.94  | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | BETA: splitting (277) gives:
% 166.85/24.94  | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | Case 1:
% 166.85/24.94  | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | |   (2767)  all_56_4 = e0
% 166.85/24.94  | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | COMBINE_EQS: (429), (2767) imply:
% 166.85/24.94  | | | | | | | | | | | |   (2768)  all_52_8 = e0
% 166.85/24.94  | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | REDUCE: (2763), (2768) imply:
% 166.85/24.94  | | | | | | | | | | | |   (2769)  $false
% 166.85/24.94  | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | CLOSE: (2769) is inconsistent.
% 166.85/24.94  | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | Case 2:
% 166.85/24.94  | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | |   (2770)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 166.85/24.94  | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | BETA: splitting (2770) gives:
% 166.85/24.94  | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | Case 1:
% 166.85/24.94  | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | |   (2771)  all_56_5 = e0
% 166.85/24.94  | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | COMBINE_EQS: (431), (2771) imply:
% 166.85/24.94  | | | | | | | | | | | | |   (2772)  all_52_9 = e0
% 166.85/24.94  | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | COMBINE_EQS: (377), (2772) imply:
% 166.85/24.94  | | | | | | | | | | | | |   (2773)  all_58_25 = e0
% 166.85/24.94  | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | REDUCE: (190), (2772) imply:
% 166.85/24.94  | | | | | | | | | | | | |   (2774)   ~ (all_52_1 = e0)
% 166.85/24.94  | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | REDUCE: (162), (2772) imply:
% 166.85/24.94  | | | | | | | | | | | | |   (2775)   ~ (all_52_11 = e0)
% 166.85/24.94  | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | REDUCE: (564), (2772) imply:
% 166.85/24.94  | | | | | | | | | | | | |   (2776)   ~ (all_4_2 = e0)
% 166.85/24.94  | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | BETA: splitting (243) gives:
% 166.85/24.94  | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | Case 1:
% 166.85/24.94  | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | |   (2777)  all_54_5 = e0
% 166.85/24.94  | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | REF_CLOSE: (531), (2726), (2777) are inconsistent by
% 166.85/24.94  | | | | | | | | | | | | | |            sub-proof #983.
% 166.85/24.94  | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | Case 2:
% 166.85/24.94  | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | |   (2778)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 166.85/24.94  | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 166.85/24.94  | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | Case 1:
% 166.85/24.94  | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | |   (2779)  all_54_0 = e0
% 166.85/24.94  | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | REF_CLOSE: (532), (2765), (2779) are inconsistent by
% 166.85/24.94  | | | | | | | | | | | | | | |            sub-proof #984.
% 166.85/24.94  | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | Case 2:
% 166.85/24.94  | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | |   (2780)   ~ (all_54_0 = e0)
% 166.85/24.94  | | | | | | | | | | | | | | |   (2781)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 166.85/24.94  | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 166.85/24.94  | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | Case 1:
% 166.85/24.94  | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | |   (2782)  all_58_27 = e0
% 166.85/24.94  | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (2782) imply:
% 166.85/24.94  | | | | | | | | | | | | | | | |   (2783)  all_52_11 = e0
% 166.85/24.94  | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | REDUCE: (2734), (2783) imply:
% 166.85/24.94  | | | | | | | | | | | | | | | |   (2784)  $false
% 166.85/24.94  | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | CLOSE: (2784) is inconsistent.
% 166.85/24.94  | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | Case 2:
% 166.85/24.94  | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | |   (2785)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 166.85/24.94  | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 166.85/24.94  | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.94  | | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | |   (2786)  all_58_19 = e0
% 166.85/24.94  | | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (2786) imply:
% 166.85/24.94  | | | | | | | | | | | | | | | | |   (2787)  all_52_3 = e0
% 166.85/24.94  | | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | | REDUCE: (2753), (2787) imply:
% 166.85/24.94  | | | | | | | | | | | | | | | | |   (2788)  $false
% 166.85/24.94  | | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | | CLOSE: (2788) is inconsistent.
% 166.85/24.94  | | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.94  | | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | |   (2789)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 166.85/24.94  | | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 166.85/24.94  | | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.94  | | | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | | |   (2790)  all_58_23 = e0
% 166.85/24.94  | | | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (2790) imply:
% 166.85/24.94  | | | | | | | | | | | | | | | | | |   (2791)  all_52_7 = e0
% 166.85/24.94  | | | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | | | REDUCE: (2733), (2791) imply:
% 166.85/24.94  | | | | | | | | | | | | | | | | | |   (2792)  $false
% 166.85/24.94  | | | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | | | CLOSE: (2792) is inconsistent.
% 166.85/24.94  | | | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.94  | | | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | | |   (2793)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 166.85/24.94  | | | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 166.85/24.94  | | | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.94  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | | | |   (2794)  all_56_0 = e1
% 166.85/24.94  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (37), (294), (368), (386), (389),
% 166.85/24.94  | | | | | | | | | | | | | | | | | | |            (390), (395), (407), (429), (531), (536), (539),
% 166.85/24.94  | | | | | | | | | | | | | | | | | | |            (544), (555), (560), (567), (622), (770), (2751),
% 166.85/24.94  | | | | | | | | | | | | | | | | | | |            (2757), (2760), (2765), (2766), (2773), (2774),
% 166.85/24.94  | | | | | | | | | | | | | | | | | | |            (2778), (2785), (2789), (2793), (2794),
% 166.85/24.94  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 166.85/24.94  | | | | | | | | | | | | | | | | | | |            #969.
% 166.85/24.94  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.94  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | | | |   (2795)   ~ (all_56_0 = e1)
% 166.85/24.94  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | | | | REDUCE: (536), (2795) imply:
% 166.85/24.94  | | | | | | | | | | | | | | | | | | |   (2796)   ~ (all_6_2 = e1)
% 166.85/24.94  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (41), (211), (295), (532), (536), (619), (2723),
% 166.85/24.94  | | | | | | | | | | | | | | | | | | |            (2765), (2774), (2781), (2796), (function-axioms)
% 166.85/24.94  | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #358.
% 166.85/24.94  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.94  | | | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | | End of split
% 166.85/24.94  | | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | | End of split
% 166.85/24.94  | | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | | End of split
% 166.85/24.94  | | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | | End of split
% 166.85/24.94  | | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | End of split
% 166.85/24.94  | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | Case 2:
% 166.85/24.94  | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | |   (2797)  all_56_8 = e0 | all_56_14 = e0
% 166.85/24.94  | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | | REF_CLOSE: (435), (534), (772), (2734), (2797) are
% 166.85/24.94  | | | | | | | | | | | | |            inconsistent by sub-proof #914.
% 166.85/24.94  | | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | End of split
% 166.85/24.94  | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | End of split
% 166.85/24.94  | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | Case 2:
% 166.85/24.94  | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | |   (2798)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 166.85/24.94  | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | REF_CLOSE: (348), (425), (535), (2726), (2733), (2755),
% 166.85/24.94  | | | | | | | | | | |            (2798) are inconsistent by sub-proof #940.
% 166.85/24.94  | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | End of split
% 166.85/24.94  | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | Case 2:
% 166.85/24.94  | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | |   (2799)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 166.85/24.94  | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (41), (154), (165), (167),
% 166.85/24.94  | | | | | | | | | |            (170), (172), (177), (178), (180), (185), (192),
% 166.85/24.94  | | | | | | | | | |            (193), (203), (204), (207), (208), (213), (237),
% 166.85/24.94  | | | | | | | | | |            (243), (247), (248), (270), (281), (282), (284),
% 166.85/24.94  | | | | | | | | | |            (289), (290), (292), (294), (295), (296), (330),
% 166.85/24.94  | | | | | | | | | |            (332), (333), (335), (347), (368), (371), (377),
% 166.85/24.94  | | | | | | | | | |            (386), (389), (390), (395), (396), (407), (411),
% 166.85/24.94  | | | | | | | | | |            (425), (429), (431), (439), (441), (446), (463),
% 166.85/24.94  | | | | | | | | | |            (531), (532), (534), (535), (536), (539), (540),
% 166.85/24.94  | | | | | | | | | |            (541), (542), (544), (548), (550), (555), (556),
% 166.85/24.94  | | | | | | | | | |            (558), (560), (564), (569), (619), (622), (623),
% 166.85/24.94  | | | | | | | | | |            (628), (772), (2723), (2735), (2736), (2737),
% 166.85/24.94  | | | | | | | | | |            (2743), (2799), (function-axioms) are inconsistent
% 166.85/24.94  | | | | | | | | | |            by sub-proof #349.
% 166.85/24.94  | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | End of split
% 166.85/24.94  | | | | | | | | | 
% 166.85/24.94  | | | | | | | | Case 2:
% 166.85/24.94  | | | | | | | | | 
% 166.85/24.94  | | | | | | | | |   (2800)   ~ (all_56_15 = e0)
% 166.85/24.94  | | | | | | | | |   (2801)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 166.85/24.94  | | | | | | | | |           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0)
% 166.85/24.94  | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | ALPHA: (2801) implies:
% 166.85/24.94  | | | | | | | | |   (2802)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 166.85/24.94  | | | | | | | | |   (2803)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 166.85/24.94  | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | REDUCE: (533), (2800) imply:
% 166.85/24.94  | | | | | | | | |   (2804)   ~ (all_14_2 = e0)
% 166.85/24.94  | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (41), (154), (156),
% 166.85/24.94  | | | | | | | | |            (157), (161), (162), (165), (167), (169), (170),
% 166.85/24.94  | | | | | | | | |            (172), (177), (178), (179), (180), (183), (184),
% 166.85/24.94  | | | | | | | | |            (185), (187), (188), (189), (190), (192), (193),
% 166.85/24.94  | | | | | | | | |            (201), (202), (203), (207), (211), (233), (234),
% 166.85/24.94  | | | | | | | | |            (235), (236), (239), (241), (242), (243), (247),
% 166.85/24.94  | | | | | | | | |            (248), (267), (269), (270), (271), (272), (273),
% 166.85/24.94  | | | | | | | | |            (276), (277), (278), (281), (282), (285), (286),
% 166.85/24.94  | | | | | | | | |            (287), (288), (289), (290), (291), (292), (293),
% 166.85/24.94  | | | | | | | | |            (294), (295), (296), (331), (332), (333), (334),
% 166.85/24.94  | | | | | | | | |            (335), (341), (347), (348), (351), (356), (368),
% 166.85/24.94  | | | | | | | | |            (371), (374), (377), (386), (389), (390), (395),
% 166.85/24.94  | | | | | | | | |            (396), (407), (411), (413), (425), (429), (431),
% 166.85/24.94  | | | | | | | | |            (435), (439), (441), (446), (453), (456), (462),
% 166.85/24.94  | | | | | | | | |            (465), (466), (468), (499), (522), (531), (532),
% 166.85/24.94  | | | | | | | | |            (533), (534), (535), (536), (537), (538), (539),
% 166.85/24.94  | | | | | | | | |            (540), (541), (542), (544), (546), (548), (550),
% 166.85/24.94  | | | | | | | | |            (552), (554), (555), (556), (557), (558), (560),
% 166.85/24.94  | | | | | | | | |            (562), (564), (566), (567), (568), (569), (572),
% 166.85/24.94  | | | | | | | | |            (574), (576), (577), (578), (619), (634), (745),
% 166.85/24.94  | | | | | | | | |            (761), (772), (2719), (2722), (2723), (2726),
% 166.85/24.94  | | | | | | | | |            (2729), (2802), (2803), (2804), (function-axioms)
% 166.85/24.94  | | | | | | | | |            are inconsistent by sub-proof #336.
% 166.85/24.94  | | | | | | | | | 
% 166.85/24.94  | | | | | | | | End of split
% 166.85/24.94  | | | | | | | | 
% 166.85/24.94  | | | | | | | End of split
% 166.85/24.94  | | | | | | | 
% 166.85/24.94  | | | | | | Case 2:
% 166.85/24.94  | | | | | | | 
% 166.85/24.94  | | | | | | |   (2805)  all_24_2 = e0
% 166.85/24.94  | | | | | | | 
% 166.85/24.94  | | | | | | | COMBINE_EQS: (510), (2805) imply:
% 166.85/24.94  | | | | | | |   (2806)  all_4_2 = e0
% 166.85/24.94  | | | | | | | 
% 166.85/24.94  | | | | | | | SIMP: (2806) implies:
% 166.85/24.94  | | | | | | |   (2807)  all_4_2 = e0
% 166.85/24.94  | | | | | | | 
% 166.85/24.94  | | | | | | | COMBINE_EQS: (496), (2807) imply:
% 166.85/24.94  | | | | | | |   (2808)  all_40_2 = e0
% 166.85/24.94  | | | | | | | 
% 166.85/24.94  | | | | | | | COMBINE_EQS: (535), (2807) imply:
% 166.85/24.94  | | | | | | |   (2809)  all_56_3 = e0
% 166.85/24.94  | | | | | | | 
% 166.85/24.94  | | | | | | | COMBINE_EQS: (386), (2807) imply:
% 166.85/24.94  | | | | | | |   (2810)  all_58_21 = e0
% 166.85/24.94  | | | | | | | 
% 166.85/24.94  | | | | | | | REDUCE: (555), (2807) imply:
% 166.85/24.94  | | | | | | |   (2811)   ~ (all_52_1 = e0)
% 166.85/24.94  | | | | | | | 
% 166.85/24.94  | | | | | | | REDUCE: (558), (2807) imply:
% 166.85/24.94  | | | | | | |   (2812)   ~ (all_52_4 = e0)
% 166.85/24.94  | | | | | | | 
% 166.85/24.94  | | | | | | | REDUCE: (560), (2807) imply:
% 166.85/24.94  | | | | | | |   (2813)   ~ (all_52_6 = e0)
% 166.85/24.94  | | | | | | | 
% 166.85/24.94  | | | | | | | REDUCE: (562), (2807) imply:
% 166.85/24.94  | | | | | | |   (2814)   ~ (all_52_7 = e0)
% 166.85/24.94  | | | | | | | 
% 166.85/24.94  | | | | | | | REDUCE: (564), (2807) imply:
% 166.85/24.94  | | | | | | |   (2815)   ~ (all_52_9 = e0)
% 166.85/24.94  | | | | | | | 
% 166.85/24.94  | | | | | | | REDUCE: (38), (2807) imply:
% 166.85/24.94  | | | | | | |   (2816)  op(all_4_1, e0) = all_4_0
% 166.85/24.94  | | | | | | | 
% 166.85/24.94  | | | | | | | REDUCE: (37), (2807) imply:
% 166.85/24.94  | | | | | | |   (2817)  op(e0, e2) = all_4_1
% 166.85/24.94  | | | | | | | 
% 166.85/24.94  | | | | | | | REDUCE: (624), (2807) imply:
% 166.85/24.94  | | | | | | |   (2818)  op(e2, e0) = all_58_5
% 166.85/24.94  | | | | | | | 
% 166.85/24.94  | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 166.85/24.94  | | | | | | |              all_4_1, e2, e0, simplifying with (202), (2817)
% 166.85/24.94  | | | | | | |              gives:
% 166.85/24.94  | | | | | | |   (2819)  all_52_7 = all_4_1
% 166.85/24.94  | | | | | | | 
% 166.85/24.94  | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 166.85/24.94  | | | | | | |              all_58_5, e0, e2, simplifying with (208), (2818)
% 166.85/24.94  | | | | | | |              gives:
% 166.85/24.94  | | | | | | |   (2820)  all_58_5 = all_52_13
% 166.85/24.94  | | | | | | | 
% 166.85/24.94  | | | | | | | COMBINE_EQS: (466), (2819) imply:
% 166.85/24.94  | | | | | | |   (2821)  all_54_13 = all_4_1
% 166.85/24.94  | | | | | | | 
% 166.85/24.94  | | | | | | | COMBINE_EQS: (348), (2819) imply:
% 166.85/24.94  | | | | | | |   (2822)  all_56_13 = all_4_1
% 166.85/24.94  | | | | | | | 
% 166.85/24.94  | | | | | | | COMBINE_EQS: (540), (2819) imply:
% 166.85/24.94  | | | | | | |   (2823)  all_58_23 = all_4_1
% 166.85/24.94  | | | | | | | 
% 166.85/24.94  | | | | | | | REDUCE: (184), (2819) imply:
% 166.85/24.94  | | | | | | |   (2824)   ~ (all_52_3 = all_4_1)
% 166.85/24.94  | | | | | | | 
% 166.85/24.94  | | | | | | | REDUCE: (179), (2819) imply:
% 166.85/24.94  | | | | | | |   (2825)   ~ (all_52_4 = all_4_1)
% 166.85/24.94  | | | | | | | 
% 166.85/24.94  | | | | | | | REDUCE: (172), (2819) imply:
% 166.85/24.94  | | | | | | |   (2826)   ~ (all_52_6 = all_4_1)
% 166.85/24.94  | | | | | | | 
% 166.85/24.94  | | | | | | | REDUCE: (169), (2819) imply:
% 166.85/24.94  | | | | | | |   (2827)   ~ (all_52_11 = all_4_1)
% 166.85/24.94  | | | | | | | 
% 166.85/24.94  | | | | | | | SIMP: (2827) implies:
% 166.85/24.94  | | | | | | |   (2828)   ~ (all_52_11 = all_4_1)
% 166.85/24.94  | | | | | | | 
% 166.85/24.94  | | | | | | | REDUCE: (568), (2819) imply:
% 166.85/24.94  | | | | | | |   (2829)   ~ (all_14_2 = all_4_1)
% 166.85/24.94  | | | | | | | 
% 166.85/24.94  | | | | | | | SIMP: (2829) implies:
% 166.85/24.94  | | | | | | |   (2830)   ~ (all_14_2 = all_4_1)
% 166.85/24.94  | | | | | | | 
% 166.85/24.94  | | | | | | | BETA: splitting (126) gives:
% 166.85/24.94  | | | | | | | 
% 166.85/24.94  | | | | | | | Case 1:
% 166.85/24.94  | | | | | | | | 
% 166.85/24.94  | | | | | | | |   (2831)   ~ (all_40_2 = e0)
% 166.85/24.94  | | | | | | | | 
% 166.85/24.94  | | | | | | | | REDUCE: (2808), (2831) imply:
% 166.85/24.94  | | | | | | | |   (2832)  $false
% 166.85/24.94  | | | | | | | | 
% 166.85/24.94  | | | | | | | | CLOSE: (2832) is inconsistent.
% 166.85/24.94  | | | | | | | | 
% 166.85/24.94  | | | | | | | Case 2:
% 166.85/24.94  | | | | | | | | 
% 166.85/24.94  | | | | | | | |   (2833)   ~ (all_40_0 = e3) |  ~ (all_40_1 = e1)
% 166.85/24.94  | | | | | | | | 
% 166.85/24.94  | | | | | | | | BETA: splitting (145) gives:
% 166.85/24.94  | | | | | | | | 
% 166.85/24.94  | | | | | | | | Case 1:
% 166.85/24.94  | | | | | | | | | 
% 166.85/24.94  | | | | | | | | |   (2834)   ~ (all_48_2 = e1)
% 166.85/24.94  | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | REDUCE: (478), (2834) imply:
% 166.85/24.94  | | | | | | | | |   (2835)   ~ (all_14_2 = e1)
% 166.85/24.94  | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | BETA: splitting (266) gives:
% 166.85/24.94  | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | Case 1:
% 166.85/24.94  | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | |   (2836)  all_56_15 = e0
% 166.85/24.94  | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | COMBINE_EQS: (533), (2836) imply:
% 166.85/24.94  | | | | | | | | | |   (2837)  all_14_2 = e0
% 166.85/24.94  | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | SIMP: (2837) implies:
% 166.85/24.94  | | | | | | | | | |   (2838)  all_14_2 = e0
% 166.85/24.94  | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | REDUCE: (576), (2838) imply:
% 166.85/24.94  | | | | | | | | | |   (2839)   ~ (all_52_12 = e0)
% 166.85/24.94  | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | REDUCE: (2830), (2838) imply:
% 166.85/24.94  | | | | | | | | | |   (2840)   ~ (all_4_1 = e0)
% 166.85/24.94  | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | REDUCE: (2835), (2838) imply:
% 166.85/24.94  | | | | | | | | | |   (2841)   ~ (e1 = e0)
% 166.85/24.94  | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | REDUCE: (63), (2838) imply:
% 166.85/24.94  | | | | | | | | | |   (2842)  op(all_14_1, e0) = all_14_0
% 166.85/24.94  | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | REDUCE: (62), (2838) imply:
% 166.85/24.94  | | | | | | | | | |   (2843)  op(e0, e0) = all_14_1
% 166.85/24.94  | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | REDUCE: (634), (2838) imply:
% 166.85/24.94  | | | | | | | | | |   (2844)  op(e0, e0) = all_58_15
% 166.85/24.94  | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | REDUCE: (61), (2838) imply:
% 166.85/24.94  | | | | | | | | | |   (2845)  op(e0, e0) = e0
% 166.85/24.94  | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | BETA: splitting (273) gives:
% 166.85/24.94  | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | Case 1:
% 166.85/24.94  | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | |   (2846)  all_56_6 = e0
% 166.85/24.94  | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | COMBINE_EQS: (413), (2846) imply:
% 166.85/24.94  | | | | | | | | | | |   (2847)  all_52_2 = e0
% 166.85/24.94  | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | COMBINE_EQS: (371), (2847) imply:
% 166.85/24.94  | | | | | | | | | | |   (2848)  all_58_18 = e0
% 166.85/24.94  | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | REDUCE: (188), (2847) imply:
% 166.85/24.94  | | | | | | | | | | |   (2849)   ~ (all_52_3 = e0)
% 166.85/24.94  | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | SIMP: (2849) implies:
% 166.85/24.94  | | | | | | | | | | |   (2850)   ~ (all_52_3 = e0)
% 166.85/24.94  | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | REDUCE: (546), (2847) imply:
% 166.85/24.94  | | | | | | | | | | |   (2851)   ~ (all_6_2 = e0)
% 166.85/24.94  | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | SIMP: (2851) implies:
% 166.85/24.94  | | | | | | | | | | |   (2852)   ~ (all_6_2 = e0)
% 166.85/24.94  | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | REDUCE: (627), (2847) imply:
% 166.85/24.94  | | | | | | | | | | |   (2853)  op(e1, e0) = all_58_8
% 166.85/24.94  | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | BETA: splitting (277) gives:
% 166.85/24.94  | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | Case 1:
% 166.85/24.94  | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | |   (2854)  all_56_4 = e0
% 166.85/24.94  | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | COMBINE_EQS: (429), (2854) imply:
% 166.85/24.94  | | | | | | | | | | | |   (2855)  all_52_8 = e0
% 166.85/24.94  | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | COMBINE_EQS: (395), (2855) imply:
% 166.85/24.94  | | | | | | | | | | | |   (2856)  all_58_24 = e0
% 166.85/24.94  | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | REDUCE: (165), (2855) imply:
% 166.85/24.94  | | | | | | | | | | | |   (2857)   ~ (all_52_11 = e0)
% 166.85/24.94  | | | | | | | | | | | | 
% 166.85/24.94  | | | | | | | | | | | | SIMP: (2857) implies:
% 166.85/24.95  | | | | | | | | | | | |   (2858)   ~ (all_52_11 = e0)
% 166.85/24.95  | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | REDUCE: (569), (2855) imply:
% 166.85/24.95  | | | | | | | | | | | |   (2859)   ~ (all_10_2 = e0)
% 166.85/24.95  | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1,
% 166.85/24.95  | | | | | | | | | | | |              all_58_15, e0, e0, simplifying with (2843), (2844)
% 166.85/24.95  | | | | | | | | | | | |              gives:
% 166.85/24.95  | | | | | | | | | | | |   (2860)  all_58_15 = all_14_1
% 166.85/24.95  | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 166.85/24.95  | | | | | | | | | | | |              all_58_15, e0, e0, simplifying with (2844), (2845)
% 166.85/24.95  | | | | | | | | | | | |              gives:
% 166.85/24.95  | | | | | | | | | | | |   (2861)  all_58_15 = e0
% 166.85/24.95  | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 166.85/24.95  | | | | | | | | | | | |              all_58_8, e0, e1, simplifying with (204), (2853)
% 166.85/24.95  | | | | | | | | | | | |              gives:
% 166.85/24.95  | | | | | | | | | | | |   (2862)  all_58_8 = all_52_14
% 166.85/24.95  | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | COMBINE_EQS: (2860), (2861) imply:
% 166.85/24.95  | | | | | | | | | | | |   (2863)  all_14_1 = e0
% 166.85/24.95  | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | SIMP: (2863) implies:
% 166.85/24.95  | | | | | | | | | | | |   (2864)  all_14_1 = e0
% 166.85/24.95  | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | REDUCE: (2842), (2864) imply:
% 166.85/24.95  | | | | | | | | | | | |   (2865)  op(e0, e0) = all_14_0
% 166.85/24.95  | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_14_0,
% 166.85/24.95  | | | | | | | | | | | |              e0, e0, simplifying with (2845), (2865) gives:
% 166.85/24.95  | | | | | | | | | | | |   (2866)  all_14_0 = e0
% 166.85/24.95  | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | BETA: splitting (235) gives:
% 166.85/24.95  | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | Case 1:
% 166.85/24.95  | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | |   (2867)  all_54_13 = e0
% 166.85/24.95  | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | COMBINE_EQS: (2821), (2867) imply:
% 166.85/24.95  | | | | | | | | | | | | |   (2868)  all_4_1 = e0
% 166.85/24.95  | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | REDUCE: (770), (2868) imply:
% 166.85/24.95  | | | | | | | | | | | | |   (2869)  $false
% 166.85/24.95  | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | CLOSE: (2869) is inconsistent.
% 166.85/24.95  | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | Case 2:
% 166.85/24.95  | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | |   (2870)   ~ (all_54_13 = e0)
% 166.85/24.95  | | | | | | | | | | | | |   (2871)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 166.85/24.95  | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | BETA: splitting (248) gives:
% 166.85/24.95  | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | Case 1:
% 166.85/24.95  | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | |   (2872)  all_54_0 = e0
% 166.85/24.95  | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | REF_CLOSE: (532), (2852), (2872) are inconsistent by
% 166.85/24.95  | | | | | | | | | | | | | |            sub-proof #984.
% 166.85/24.95  | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | Case 2:
% 166.85/24.95  | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | |   (2873)   ~ (all_54_0 = e0)
% 166.85/24.95  | | | | | | | | | | | | | |   (2874)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 166.85/24.95  | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 166.85/24.95  | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | Case 1:
% 166.85/24.95  | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | |   (2875)  all_58_23 = e0
% 166.85/24.95  | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | COMBINE_EQS: (2823), (2875) imply:
% 166.85/24.95  | | | | | | | | | | | | | | |   (2876)  all_4_1 = e0
% 166.85/24.95  | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | REDUCE: (770), (2876) imply:
% 166.85/24.95  | | | | | | | | | | | | | | |   (2877)  $false
% 166.85/24.95  | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | CLOSE: (2877) is inconsistent.
% 166.85/24.95  | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | Case 2:
% 166.85/24.95  | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | |   (2878)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 166.85/24.95  | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 166.85/24.95  | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | Case 1:
% 166.85/24.95  | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | |   (2879)  all_58_27 = e0
% 166.85/24.95  | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | REF_CLOSE: (347), (2858), (2879) are inconsistent by
% 166.85/24.95  | | | | | | | | | | | | | | | |            sub-proof #663.
% 166.85/24.95  | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | Case 2:
% 166.85/24.95  | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | |   (2880)   ~ (all_58_27 = e0)
% 166.85/24.95  | | | | | | | | | | | | | | | |   (2881)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 166.85/24.95  | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 166.85/24.95  | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.95  | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | |   (2882)  all_58_19 = e0
% 166.85/24.95  | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (2882) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | |   (2883)  all_52_3 = e0
% 166.85/24.95  | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | REDUCE: (2850), (2883) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | |   (2884)  $false
% 166.85/24.95  | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | CLOSE: (2884) is inconsistent.
% 166.85/24.95  | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.95  | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | |   (2885)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 166.85/24.95  | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 166.85/24.95  | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | |   (2886)  all_56_12 = e1
% 166.85/24.95  | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (2886) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | |   (2887)  all_52_3 = e1
% 166.85/24.95  | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | REDUCE: (548), (2887) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | |   (2888)   ~ (all_6_2 = e1)
% 166.85/24.95  | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | SIMP: (2888) implies:
% 166.85/24.95  | | | | | | | | | | | | | | | | | |   (2889)   ~ (all_6_2 = e1)
% 166.85/24.95  | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | REF_CLOSE: (41), (211), (295), (532), (536), (619), (2723),
% 166.85/24.95  | | | | | | | | | | | | | | | | | |            (2811), (2852), (2874), (2889), (function-axioms)
% 166.85/24.95  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #358.
% 166.85/24.95  | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | |   (2890)   ~ (all_56_12 = e1)
% 166.85/24.95  | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | REDUCE: (351), (2890) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | |   (2891)   ~ (all_52_3 = e1)
% 166.85/24.95  | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | |   (2892)  all_56_0 = e1
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (2892) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | |   (2893)  all_6_2 = e1
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | SIMP: (2893) implies:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | |   (2894)  all_6_2 = e1
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (2894) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | |   (2895)  all_58_16 = e1
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | REDUCE: (544), (2894) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | |   (2896)   ~ (all_52_1 = e1)
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | REDUCE: (550), (2894) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | |   (2897)   ~ (all_52_4 = e1)
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | BETA: splitting (2885) gives:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | |   (2898)  all_58_18 = e1
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2848), (2898) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | |   (2899)  e1 = e0
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (2899) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | |   (2900)  $false
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | CLOSE: (2900) is inconsistent.
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | |   (2901)  all_58_16 = e3 | all_58_17 = e2
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | BETA: splitting (2901) gives:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | |   (2902)  all_58_17 = e2
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (2902) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | |   (2903)  all_52_1 = e2
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (2903) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | |   (2904)   ~ (all_52_9 = e2)
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | SIMP: (2904) implies:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | |   (2905)   ~ (all_52_9 = e2)
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2881) gives:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | |   (2906)  all_58_26 = e1
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (539), (2906) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | |   (2907)  all_10_2 = e1
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (2907) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | |   (2908)  all_56_8 = e1
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (567), (2907) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | |   (2909)   ~ (all_52_6 = e1)
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (572), (2907) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | |   (2910)   ~ (all_52_11 = e1)
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (2907) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | |   (2911)   ~ (all_52_14 = e1)
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (279) gives:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | |   (2912)  all_56_4 = e2
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2854), (2912) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | |   (2913)  e2 = e0
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (2895), (2901), (2902), (2913) are
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | |   (2914)   ~ (all_56_4 = e2)
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | |   (2915)  all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2854), (2914) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | |   (2916)   ~ (e2 = e0)
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2878) gives:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | |   (2917)  all_58_22 = e1
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (368), (2917) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | |   (2918)  all_52_6 = e1
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2909), (2918) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | |   (2919)  $false
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2919) is inconsistent.
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | |   (2920)   ~ (all_58_22 = e1)
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | |   (2921)  all_58_20 = e3 | all_58_21 = e2
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2921) gives:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (2922)  all_58_21 = e2
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2810), (2922) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (2923)  e2 = e0
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (2895), (2901), (2902), (2923) are
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (2924)  all_58_20 = e3
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (2924) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (2925)  all_52_4 = e3
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (2925) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (2926)  all_56_1 = e3
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (180), (2925) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (2927)   ~ (all_52_6 = e3)
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2927) implies:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (2928)   ~ (all_52_6 = e3)
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (276) gives:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2929)  all_56_6 = e3
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2846), (2929) are inconsistent by sub-proof
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | |            #574.
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2930)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2915) gives:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2931)  all_56_5 = e2
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (2931) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2932)  all_52_9 = e2
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2905), (2932) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2933)  $false
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2933) is inconsistent.
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2934)  all_56_8 = e2 | all_56_14 = e2
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2930) gives:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2935)  all_56_7 = e3
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (2935) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2936)  all_52_6 = e3
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2928), (2936) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2937)  $false
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2937) is inconsistent.
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2938)  all_56_8 = e3 | all_56_11 = e3
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2934) gives:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2939)  all_56_8 = e2
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2908), (2939) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2940)  e2 = e1
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (41), (407), (619), (2723), (2852), (2901),
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2902), (2940), (function-axioms) are inconsistent
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #346.
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2941)  all_56_14 = e2
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (2941) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2942)  all_52_11 = e2
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2828), (2942) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2943)   ~ (all_4_1 = e2)
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2943) implies:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2944)   ~ (all_4_1 = e2)
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (287) gives:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2945)  all_56_1 = e2
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2926), (2945) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2946)  e3 = e2
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2946) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2947)  $false
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2947) is inconsistent.
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2948)  all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2948) gives:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2949)  all_56_3 = e2
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2809), (2949) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2950)  e2 = e0
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (2895), (2901), (2902), (2950) are
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2951)   ~ (all_56_3 = e2)
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2952)  all_56_7 = e2 | all_56_13 = e2
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (204), (286), (368), (441),
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (688), (740), (2809), (2810), (2816), (2821),
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2822), (2833), (2871), (2878), (2908), (2909),
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2911), (2924), (2926), (2938), (2944), (2952),
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #568.
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | |   (2953)  all_58_24 = e3 | all_58_25 = e2
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (377), (2856), (2905), (2953) are
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #921.
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | |   (2954)  all_58_16 = e3
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2895), (2954) are inconsistent by sub-proof
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | |            #970.
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | |   (2955)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | BETA: splitting (2955) gives:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | |   (2956)  all_56_2 = e1
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (2956) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | |   (2957)  all_52_1 = e1
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (2957) imply:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | |   (2958)  all_58_17 = e1
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | BETA: splitting (2885) gives:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | |   (2959)  all_58_18 = e1
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2848), (2959) are inconsistent by sub-proof
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | |            #888.
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | |   (2960)  all_58_16 = e3 | all_58_17 = e2
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (41), (407), (619), (2723), (2852), (2958),
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | |            (2960), (function-axioms) are inconsistent by
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | |            sub-proof #347.
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | |   (2961)  all_56_6 = e1 | all_56_12 = e1
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (351), (2846), (2891), (2961) are
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #933.
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.95  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.95  | | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | | End of split
% 166.85/24.95  | | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | | End of split
% 166.85/24.95  | | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | | End of split
% 166.85/24.95  | | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | | End of split
% 166.85/24.95  | | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | | End of split
% 166.85/24.95  | | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | End of split
% 166.85/24.95  | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | Case 2:
% 166.85/24.95  | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | |   (2962)   ~ (all_56_4 = e0)
% 166.85/24.95  | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | REDUCE: (429), (2962) imply:
% 166.85/24.95  | | | | | | | | | | | |   (2963)   ~ (all_52_8 = e0)
% 166.85/24.95  | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | | REF_CLOSE: (290), (390), (396), (429), (536), (2812), (2839),
% 166.85/24.95  | | | | | | | | | | | |            (2852), (2963) are inconsistent by sub-proof #465.
% 166.85/24.95  | | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | End of split
% 166.85/24.95  | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | Case 2:
% 166.85/24.95  | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | |   (2964)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 166.85/24.95  | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (61), (154), (157),
% 166.85/24.95  | | | | | | | | | | |            (161), (164), (167), (177), (178), (180), (183),
% 166.85/24.95  | | | | | | | | | | |            (185), (187), (188), (189), (192), (203), (204),
% 166.85/24.95  | | | | | | | | | | |            (207), (212), (241), (242), (245), (248), (270),
% 166.85/24.95  | | | | | | | | | | |            (272), (276), (277), (282), (286), (287), (289),
% 166.85/24.95  | | | | | | | | | | |            (290), (291), (292), (293), (295), (330), (331),
% 166.85/24.95  | | | | | | | | | | |            (332), (333), (347), (351), (356), (368), (374),
% 166.85/24.95  | | | | | | | | | | |            (377), (390), (395), (396), (411), (413), (425),
% 166.85/24.95  | | | | | | | | | | |            (429), (431), (435), (439), (441), (453), (460),
% 166.85/24.95  | | | | | | | | | | |            (462), (532), (533), (534), (536), (537), (538),
% 166.85/24.95  | | | | | | | | | | |            (539), (541), (544), (546), (548), (550), (552),
% 166.85/24.95  | | | | | | | | | | |            (554), (556), (557), (567), (569), (570), (574),
% 166.85/24.95  | | | | | | | | | | |            (621), (630), (631), (688), (740), (772), (2723),
% 166.85/24.95  | | | | | | | | | | |            (2809), (2810), (2811), (2813), (2815), (2816),
% 166.85/24.95  | | | | | | | | | | |            (2820), (2822), (2823), (2824), (2825), (2833),
% 166.85/24.95  | | | | | | | | | | |            (2964), (function-axioms) are inconsistent by
% 166.85/24.95  | | | | | | | | | | |            sub-proof #329.
% 166.85/24.95  | | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | End of split
% 166.85/24.95  | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | Case 2:
% 166.85/24.95  | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | |   (2965)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 166.85/24.95  | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 166.85/24.95  | | | | | | | | | |             e0)
% 166.85/24.95  | | | | | | | | | | 
% 166.85/24.95  | | | | | | | | | | ALPHA: (2965) implies:
% 166.85/24.95  | | | | | | | | | |   (2966)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 166.85/24.95  | | | | | | | | | | 
% 166.85/24.96  | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (61), (154), (156),
% 166.85/24.96  | | | | | | | | | |            (157), (161), (162), (164), (165), (167), (170),
% 166.85/24.96  | | | | | | | | | |            (177), (178), (180), (183), (185), (187), (188),
% 166.85/24.96  | | | | | | | | | |            (189), (190), (192), (193), (203), (204), (207),
% 166.85/24.96  | | | | | | | | | |            (212), (236), (237), (238), (241), (242), (245),
% 166.85/24.96  | | | | | | | | | |            (246), (248), (267), (270), (272), (273), (276),
% 166.85/24.96  | | | | | | | | | |            (277), (279), (282), (286), (287), (289), (290),
% 166.85/24.96  | | | | | | | | | |            (291), (292), (293), (295), (330), (331), (332),
% 166.85/24.96  | | | | | | | | | |            (333), (334), (335), (347), (351), (356), (368),
% 166.85/24.96  | | | | | | | | | |            (371), (374), (377), (389), (390), (395), (396),
% 166.85/24.96  | | | | | | | | | |            (407), (411), (413), (425), (429), (431), (435),
% 166.85/24.96  | | | | | | | | | |            (439), (441), (451), (453), (460), (462), (463),
% 166.85/24.96  | | | | | | | | | |            (465), (530), (532), (533), (534), (536), (537),
% 166.85/24.96  | | | | | | | | | |            (538), (539), (541), (542), (544), (546), (548),
% 166.85/24.96  | | | | | | | | | |            (550), (552), (554), (556), (557), (567), (569),
% 166.85/24.96  | | | | | | | | | |            (570), (572), (574), (576), (578), (621), (622),
% 166.85/24.96  | | | | | | | | | |            (627), (630), (631), (633), (688), (740), (770),
% 166.85/24.96  | | | | | | | | | |            (772), (2723), (2809), (2810), (2811), (2812),
% 166.85/24.96  | | | | | | | | | |            (2813), (2815), (2816), (2820), (2822), (2823),
% 166.85/24.96  | | | | | | | | | |            (2824), (2825), (2826), (2828), (2833), (2966),
% 166.85/24.96  | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 166.85/24.96  | | | | | | | | | |            #328.
% 166.85/24.96  | | | | | | | | | | 
% 166.85/24.96  | | | | | | | | | End of split
% 166.85/24.96  | | | | | | | | | 
% 166.85/24.96  | | | | | | | | Case 2:
% 166.85/24.96  | | | | | | | | | 
% 166.85/24.96  | | | | | | | | |   (2967)  all_48_2 = e1
% 166.85/24.96  | | | | | | | | | 
% 166.85/24.96  | | | | | | | | | COMBINE_EQS: (478), (2967) imply:
% 166.85/24.96  | | | | | | | | |   (2968)  all_14_2 = e1
% 166.85/24.96  | | | | | | | | | 
% 166.85/24.96  | | | | | | | | | SIMP: (2968) implies:
% 166.85/24.96  | | | | | | | | |   (2969)  all_14_2 = e1
% 166.85/24.96  | | | | | | | | | 
% 166.85/24.96  | | | | | | | | | COMBINE_EQS: (533), (2969) imply:
% 166.85/24.96  | | | | | | | | |   (2970)  all_56_15 = e1
% 166.85/24.96  | | | | | | | | | 
% 166.85/24.96  | | | | | | | | | BETA: splitting (273) gives:
% 166.85/24.96  | | | | | | | | | 
% 166.85/24.96  | | | | | | | | | Case 1:
% 166.85/24.96  | | | | | | | | | | 
% 166.85/24.96  | | | | | | | | | |   (2971)  all_56_6 = e0
% 166.85/24.96  | | | | | | | | | | 
% 166.85/24.96  | | | | | | | | | | COMBINE_EQS: (413), (2971) imply:
% 166.85/24.96  | | | | | | | | | |   (2972)  all_52_2 = e0
% 166.85/24.96  | | | | | | | | | | 
% 166.85/24.96  | | | | | | | | | | COMBINE_EQS: (371), (2972) imply:
% 166.85/24.96  | | | | | | | | | |   (2973)  all_58_18 = e0
% 166.85/24.96  | | | | | | | | | | 
% 166.85/24.96  | | | | | | | | | | REDUCE: (188), (2972) imply:
% 166.85/24.96  | | | | | | | | | |   (2974)   ~ (all_52_3 = e0)
% 166.85/24.96  | | | | | | | | | | 
% 166.85/24.96  | | | | | | | | | | SIMP: (2974) implies:
% 166.85/24.96  | | | | | | | | | |   (2975)   ~ (all_52_3 = e0)
% 166.85/24.96  | | | | | | | | | | 
% 166.85/24.96  | | | | | | | | | | REDUCE: (187), (2972) imply:
% 166.85/24.96  | | | | | | | | | |   (2976)   ~ (all_52_6 = e0)
% 166.85/24.96  | | | | | | | | | | 
% 166.85/24.96  | | | | | | | | | | REDUCE: (546), (2972) imply:
% 166.85/24.96  | | | | | | | | | |   (2977)   ~ (all_6_2 = e0)
% 166.85/24.96  | | | | | | | | | | 
% 166.85/24.96  | | | | | | | | | | SIMP: (2977) implies:
% 166.85/24.96  | | | | | | | | | |   (2978)   ~ (all_6_2 = e0)
% 166.85/24.96  | | | | | | | | | | 
% 166.85/24.96  | | | | | | | | | | REDUCE: (627), (2972) imply:
% 166.85/24.96  | | | | | | | | | |   (2979)  op(e1, e0) = all_58_8
% 166.85/24.96  | | | | | | | | | | 
% 166.85/24.96  | | | | | | | | | | BETA: splitting (266) gives:
% 166.85/24.96  | | | | | | | | | | 
% 166.85/24.96  | | | | | | | | | | Case 1:
% 166.85/24.96  | | | | | | | | | | | 
% 166.85/24.96  | | | | | | | | | | |   (2980)  all_56_15 = e0
% 166.85/24.96  | | | | | | | | | | | 
% 166.85/24.96  | | | | | | | | | | | REF_CLOSE: (4), (2970), (2980) are inconsistent by sub-proof
% 166.85/24.96  | | | | | | | | | | |            #657.
% 166.85/24.96  | | | | | | | | | | | 
% 166.85/24.96  | | | | | | | | | | Case 2:
% 166.85/24.96  | | | | | | | | | | | 
% 166.85/24.96  | | | | | | | | | | |   (2981)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 166.85/24.96  | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 166.85/24.96  | | | | | | | | | | |             e0)
% 166.85/24.96  | | | | | | | | | | | 
% 166.85/24.96  | | | | | | | | | | | ALPHA: (2981) implies:
% 166.85/24.96  | | | | | | | | | | |   (2982)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 166.85/24.96  | | | | | | | | | | | 
% 166.85/24.96  | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (61), (154), (156),
% 166.85/24.96  | | | | | | | | | | |            (157), (161), (162), (164), (165), (170), (177),
% 166.85/24.96  | | | | | | | | | | |            (178), (183), (189), (190), (192), (204), (212),
% 166.85/24.96  | | | | | | | | | | |            (236), (237), (238), (241), (242), (246), (248),
% 166.85/24.96  | | | | | | | | | | |            (267), (270), (272), (276), (279), (286), (287),
% 166.85/24.96  | | | | | | | | | | |            (290), (291), (293), (295), (330), (331), (333),
% 166.85/24.96  | | | | | | | | | | |            (334), (335), (347), (351), (356), (368), (374),
% 166.85/24.96  | | | | | | | | | | |            (377), (389), (390), (395), (396), (407), (411),
% 166.85/24.96  | | | | | | | | | | |            (425), (429), (435), (439), (441), (451), (453),
% 166.85/24.96  | | | | | | | | | | |            (462), (463), (465), (530), (532), (533), (534),
% 166.85/24.96  | | | | | | | | | | |            (536), (537), (538), (539), (541), (542), (544),
% 166.85/24.96  | | | | | | | | | | |            (548), (550), (552), (554), (557), (569), (572),
% 166.85/24.96  | | | | | | | | | | |            (574), (576), (578), (622), (633), (688), (740),
% 166.85/24.96  | | | | | | | | | | |            (770), (2809), (2810), (2811), (2812), (2813),
% 166.85/24.96  | | | | | | | | | | |            (2816), (2820), (2822), (2823), (2825), (2826),
% 166.85/24.96  | | | | | | | | | | |            (2828), (2833), (2971), (2973), (2975), (2978),
% 166.85/24.96  | | | | | | | | | | |            (2979), (2982), (function-axioms) are inconsistent
% 166.85/24.96  | | | | | | | | | | |            by sub-proof #537.
% 166.85/24.96  | | | | | | | | | | | 
% 166.85/24.96  | | | | | | | | | | End of split
% 166.85/24.96  | | | | | | | | | | 
% 166.85/24.96  | | | | | | | | | Case 2:
% 166.85/24.96  | | | | | | | | | | 
% 166.85/24.96  | | | | | | | | | |   (2983)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 166.85/24.96  | | | | | | | | | | 
% 166.85/24.96  | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (61), (154), (157),
% 166.85/24.96  | | | | | | | | | |            (161), (164), (167), (177), (178), (180), (183),
% 166.85/24.96  | | | | | | | | | |            (185), (187), (188), (189), (192), (203), (204),
% 166.85/24.96  | | | | | | | | | |            (207), (212), (241), (242), (245), (248), (270),
% 166.85/24.96  | | | | | | | | | |            (272), (276), (277), (282), (286), (287), (289),
% 166.85/24.96  | | | | | | | | | |            (290), (291), (292), (293), (295), (330), (331),
% 166.85/24.96  | | | | | | | | | |            (332), (333), (347), (351), (356), (368), (374),
% 166.85/24.96  | | | | | | | | | |            (377), (390), (395), (396), (411), (413), (425),
% 166.85/24.96  | | | | | | | | | |            (429), (431), (435), (439), (441), (453), (460),
% 166.85/24.96  | | | | | | | | | |            (462), (532), (533), (534), (536), (537), (538),
% 166.85/24.96  | | | | | | | | | |            (539), (541), (544), (546), (548), (550), (552),
% 166.85/24.96  | | | | | | | | | |            (554), (556), (557), (567), (569), (570), (574),
% 166.85/24.96  | | | | | | | | | |            (621), (630), (631), (688), (740), (772), (2723),
% 166.85/24.96  | | | | | | | | | |            (2809), (2810), (2811), (2813), (2815), (2816),
% 166.85/24.96  | | | | | | | | | |            (2820), (2822), (2823), (2824), (2825), (2833),
% 166.85/24.96  | | | | | | | | | |            (2983), (function-axioms) are inconsistent by
% 166.85/24.96  | | | | | | | | | |            sub-proof #329.
% 166.85/24.96  | | | | | | | | | | 
% 166.85/24.96  | | | | | | | | | End of split
% 166.85/24.96  | | | | | | | | | 
% 166.85/24.96  | | | | | | | | End of split
% 166.85/24.96  | | | | | | | | 
% 166.85/24.96  | | | | | | | End of split
% 166.85/24.96  | | | | | | | 
% 166.85/24.96  | | | | | | End of split
% 166.85/24.96  | | | | | | 
% 166.85/24.96  | | | | | Case 2:
% 166.85/24.96  | | | | | | 
% 166.85/24.96  | | | | | |   (2984)  all_14_0 = e1
% 166.85/24.96  | | | | | | 
% 166.85/24.96  | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (38), (41), (61),
% 166.85/24.96  | | | | | |            (62), (63), (89), (94), (126), (154), (156), (157),
% 166.85/24.96  | | | | | |            (161), (162), (164), (165), (167), (169), (170), (172),
% 166.85/24.96  | | | | | |            (177), (178), (179), (180), (183), (184), (185), (187),
% 166.85/24.96  | | | | | |            (188), (189), (190), (192), (193), (201), (202), (203),
% 166.85/24.96  | | | | | |            (204), (207), (208), (211), (212), (233), (234), (235),
% 166.85/24.96  | | | | | |            (236), (237), (238), (239), (241), (242), (243), (245),
% 166.85/24.96  | | | | | |            (246), (247), (248), (266), (267), (269), (270), (271),
% 166.85/24.96  | | | | | |            (272), (273), (276), (277), (278), (279), (281), (282),
% 166.85/24.96  | | | | | |            (285), (286), (287), (288), (289), (290), (291), (292),
% 166.85/24.96  | | | | | |            (293), (294), (295), (296), (330), (331), (332), (333),
% 166.85/24.96  | | | | | |            (334), (335), (341), (347), (348), (351), (356), (368),
% 166.85/24.96  | | | | | |            (371), (374), (377), (386), (389), (390), (395), (396),
% 166.85/24.96  | | | | | |            (407), (411), (413), (425), (429), (431), (435), (439),
% 166.85/24.96  | | | | | |            (441), (446), (451), (453), (456), (460), (462), (463),
% 166.85/24.96  | | | | | |            (465), (466), (468), (496), (499), (510), (522), (530),
% 166.85/24.96  | | | | | |            (531), (532), (533), (534), (535), (536), (537), (538),
% 166.85/24.96  | | | | | |            (539), (540), (541), (542), (544), (546), (548), (550),
% 166.85/24.96  | | | | | |            (552), (554), (555), (556), (557), (558), (560), (562),
% 166.85/24.96  | | | | | |            (564), (566), (567), (568), (569), (570), (572), (574),
% 166.85/24.96  | | | | | |            (576), (577), (578), (619), (621), (622), (624), (627),
% 166.85/24.96  | | | | | |            (630), (631), (633), (634), (688), (740), (745), (761),
% 166.85/24.96  | | | | | |            (772), (2719), (2721), (2722), (2723), (2984),
% 166.85/24.96  | | | | | |            (function-axioms) are inconsistent by sub-proof #327.
% 166.85/24.96  | | | | | | 
% 166.85/24.96  | | | | | End of split
% 166.85/24.96  | | | | | 
% 166.85/24.96  | | | | End of split
% 166.85/24.96  | | | | 
% 166.85/24.96  | | | Case 2:
% 166.85/24.96  | | | | 
% 166.85/24.96  | | | |   (2985)  all_10_2 = e0
% 166.85/24.96  | | | | 
% 166.85/24.96  | | | | COMBINE_EQS: (534), (2985) imply:
% 166.85/24.96  | | | |   (2986)  all_56_8 = e0
% 166.85/24.96  | | | | 
% 166.85/24.96  | | | | COMBINE_EQS: (539), (2985) imply:
% 166.85/24.96  | | | |   (2987)  all_58_26 = e0
% 166.85/24.96  | | | | 
% 166.85/24.96  | | | | REDUCE: (556), (2985) imply:
% 166.85/24.96  | | | |   (2988)   ~ (all_52_2 = e0)
% 166.85/24.96  | | | | 
% 166.85/24.96  | | | | REDUCE: (567), (2985) imply:
% 166.85/24.96  | | | |   (2989)   ~ (all_52_6 = e0)
% 166.85/24.96  | | | | 
% 166.85/24.96  | | | | REDUCE: (569), (2985) imply:
% 166.85/24.96  | | | |   (2990)   ~ (all_52_8 = e0)
% 166.85/24.96  | | | | 
% 166.85/24.96  | | | | REDUCE: (570), (2985) imply:
% 166.85/24.96  | | | |   (2991)   ~ (all_52_9 = e0)
% 166.85/24.96  | | | | 
% 166.85/24.96  | | | | REDUCE: (572), (2985) imply:
% 166.85/24.96  | | | |   (2992)   ~ (all_52_11 = e0)
% 166.85/24.96  | | | | 
% 166.85/24.96  | | | | REDUCE: (574), (2985) imply:
% 166.85/24.96  | | | |   (2993)   ~ (all_52_14 = e0)
% 166.85/24.96  | | | | 
% 166.85/24.96  | | | | REDUCE: (53), (2985) imply:
% 166.85/24.96  | | | |   (2994)  op(all_10_1, e0) = all_10_0
% 166.85/24.96  | | | | 
% 166.85/24.96  | | | | REDUCE: (52), (2985) imply:
% 166.85/24.96  | | | |   (2995)  op(e0, e1) = all_10_1
% 166.85/24.96  | | | | 
% 166.85/24.96  | | | | REDUCE: (629), (2985) imply:
% 166.85/24.96  | | | |   (2996)  op(e1, e0) = all_58_10
% 166.85/24.96  | | | | 
% 166.85/24.97  | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (38), (42), (43), (59),
% 166.85/24.97  | | | |            (61), (62), (63), (64), (89), (94), (126), (131), (145),
% 166.85/24.97  | | | |            (154), (156), (157), (161), (162), (164), (165), (167),
% 166.85/24.97  | | | |            (169), (170), (172), (177), (178), (179), (180), (183),
% 166.85/24.97  | | | |            (184), (185), (187), (188), (189), (190), (192), (193),
% 166.85/24.97  | | | |            (201), (202), (203), (204), (206), (207), (208), (209),
% 166.85/24.97  | | | |            (211), (212), (214), (233), (234), (235), (236), (237),
% 166.85/24.97  | | | |            (239), (240), (241), (242), (243), (244), (245), (246),
% 166.85/24.97  | | | |            (247), (248), (266), (267), (268), (269), (270), (271),
% 166.85/24.97  | | | |            (272), (274), (275), (276), (278), (279), (280), (281),
% 166.85/24.97  | | | |            (282), (283), (284), (285), (286), (287), (288), (289),
% 166.85/24.97  | | | |            (290), (291), (292), (293), (294), (295), (330), (331),
% 166.85/24.97  | | | |            (332), (333), (334), (335), (341), (347), (348), (351),
% 166.85/24.97  | | | |            (356), (368), (371), (374), (377), (386), (389), (390),
% 166.85/24.97  | | | |            (395), (396), (407), (411), (413), (425), (429), (431),
% 166.85/24.97  | | | |            (435), (439), (441), (446), (448), (451), (453), (455),
% 166.85/24.97  | | | |            (456), (460), (462), (463), (465), (466), (468), (478),
% 166.85/24.97  | | | |            (494), (496), (510), (522), (531), (532), (533), (535),
% 166.85/24.97  | | | |            (536), (537), (538), (540), (541), (542), (544), (546),
% 166.85/24.97  | | | |            (548), (550), (552), (554), (555), (557), (558), (560),
% 166.85/24.97  | | | |            (562), (564), (566), (568), (575), (576), (577), (578),
% 166.85/24.97  | | | |            (619), (620), (622), (623), (626), (627), (631), (632),
% 166.85/24.97  | | | |            (633), (634), (640), (674), (685), (688), (740), (745),
% 166.85/24.97  | | | |            (755), (770), (2986), (2987), (2988), (2989), (2990), (2991),
% 166.85/24.97  | | | |            (2992), (2993), (2994), (2995), (2996), (function-axioms) are
% 166.85/24.97  | | | |            inconsistent by sub-proof #237.
% 166.85/24.97  | | | | 
% 166.85/24.97  | | | End of split
% 166.85/24.97  | | | 
% 166.85/24.97  | | Case 2:
% 166.85/24.97  | | | 
% 166.85/24.97  | | |   (2997)  all_6_0 = e0
% 166.85/24.97  | | |   (2998)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 166.85/24.97  | | | 
% 166.85/24.97  | | | COMBINE_EQS: (765), (2997) imply:
% 166.85/24.97  | | |   (2999)  all_8_0 = e0
% 166.85/24.97  | | | 
% 166.85/24.97  | | | REDUCE: (43), (2997) imply:
% 166.85/24.97  | | |   (3000)  op(all_6_1, all_6_2) = e0
% 166.85/24.97  | | | 
% 166.85/24.97  | | | BETA: splitting (49) gives:
% 166.85/24.97  | | | 
% 166.85/24.97  | | | Case 1:
% 166.85/24.97  | | | | 
% 166.85/24.97  | | | |   (3001)   ~ (all_8_0 = e0)
% 166.85/24.97  | | | | 
% 166.85/24.97  | | | | REDUCE: (2999), (3001) imply:
% 166.85/24.97  | | | |   (3002)  $false
% 166.85/24.97  | | | | 
% 166.85/24.97  | | | | CLOSE: (3002) is inconsistent.
% 166.85/24.97  | | | | 
% 166.85/24.97  | | | Case 2:
% 166.85/24.97  | | | | 
% 166.85/24.97  | | | |   (3003)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 166.85/24.97  | | | | 
% 166.85/24.97  | | | | BETA: splitting (54) gives:
% 166.85/24.97  | | | | 
% 166.85/24.97  | | | | Case 1:
% 166.85/24.97  | | | | | 
% 166.85/24.97  | | | | |   (3004)   ~ (all_10_2 = e0)
% 166.85/24.97  | | | | | 
% 166.85/24.97  | | | | | BETA: splitting (64) gives:
% 166.85/24.97  | | | | | 
% 166.85/24.97  | | | | | Case 1:
% 166.85/24.97  | | | | | | 
% 166.85/24.97  | | | | | |   (3005)   ~ (all_14_0 = e1)
% 166.85/24.97  | | | | | | 
% 166.85/24.97  | | | | | | BETA: splitting (74) gives:
% 166.85/24.97  | | | | | | 
% 166.85/24.97  | | | | | | Case 1:
% 166.85/24.97  | | | | | | | 
% 166.85/24.97  | | | | | | |   (3006)   ~ (all_18_1 = e1)
% 166.85/24.97  | | | | | | | 
% 166.85/24.97  | | | | | | | REDUCE: (650), (3006) imply:
% 166.85/24.97  | | | | | | |   (3007)   ~ (all_14_1 = e1)
% 166.85/24.97  | | | | | | | 
% 166.85/24.97  | | | | | | | BETA: splitting (79) gives:
% 166.85/24.97  | | | | | | | 
% 166.85/24.97  | | | | | | | Case 1:
% 166.85/24.97  | | | | | | | | 
% 166.85/24.97  | | | | | | | |   (3008)   ~ (all_20_1 = e0)
% 166.85/24.97  | | | | | | | | 
% 166.85/24.97  | | | | | | | | REDUCE: (682), (3008) imply:
% 166.85/24.97  | | | | | | | |   (3009)   ~ (all_10_1 = e0)
% 166.85/24.97  | | | | | | | | 
% 166.85/24.97  | | | | | | | | BETA: splitting (84) gives:
% 166.85/24.97  | | | | | | | | 
% 166.85/24.97  | | | | | | | | Case 1:
% 166.85/24.97  | | | | | | | | | 
% 166.85/24.97  | | | | | | | | |   (3010)   ~ (all_22_0 = e0)
% 166.85/24.97  | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | REDUCE: (723), (3010) imply:
% 166.85/24.97  | | | | | | | | |   (3011)   ~ (all_10_0 = e0)
% 166.85/24.97  | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | BETA: splitting (89) gives:
% 166.85/24.97  | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | Case 1:
% 166.85/24.97  | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | |   (3012)   ~ (all_24_2 = e0)
% 166.85/24.97  | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | REDUCE: (510), (3012) imply:
% 166.85/24.97  | | | | | | | | | |   (3013)   ~ (all_4_2 = e0)
% 166.85/24.97  | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | BETA: splitting (145) gives:
% 166.85/24.97  | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | Case 1:
% 166.85/24.97  | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | |   (3014)   ~ (all_48_2 = e1)
% 166.85/24.97  | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | REDUCE: (478), (3014) imply:
% 166.85/24.97  | | | | | | | | | | |   (3015)   ~ (all_14_2 = e1)
% 166.85/24.97  | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | BETA: splitting (266) gives:
% 166.85/24.97  | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | Case 1:
% 166.85/24.97  | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | |   (3016)  all_56_15 = e0
% 166.85/24.97  | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | COMBINE_EQS: (533), (3016) imply:
% 166.85/24.97  | | | | | | | | | | | |   (3017)  all_14_2 = e0
% 166.85/24.97  | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | SIMP: (3017) implies:
% 166.85/24.97  | | | | | | | | | | | |   (3018)  all_14_2 = e0
% 166.85/24.97  | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | REDUCE: (557), (3018) imply:
% 166.85/24.97  | | | | | | | | | | | |   (3019)   ~ (all_52_3 = e0)
% 166.85/24.97  | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | REDUCE: (568), (3018) imply:
% 166.85/24.97  | | | | | | | | | | | |   (3020)   ~ (all_52_7 = e0)
% 166.85/24.97  | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | REDUCE: (575), (3018) imply:
% 166.85/24.97  | | | | | | | | | | | |   (3021)   ~ (all_52_11 = e0)
% 166.85/24.97  | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | REDUCE: (577), (3018) imply:
% 166.85/24.97  | | | | | | | | | | | |   (3022)   ~ (all_52_13 = e0)
% 166.85/24.97  | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | REDUCE: (578), (3018) imply:
% 166.85/24.97  | | | | | | | | | | | |   (3023)   ~ (all_52_14 = e0)
% 166.85/24.97  | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | REDUCE: (63), (3018) imply:
% 166.85/24.97  | | | | | | | | | | | |   (3024)  op(all_14_1, e0) = all_14_0
% 166.85/24.97  | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | REDUCE: (62), (3018) imply:
% 166.85/24.97  | | | | | | | | | | | |   (3025)  op(e0, e0) = all_14_1
% 166.85/24.97  | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | REDUCE: (634), (3018) imply:
% 166.85/24.97  | | | | | | | | | | | |   (3026)  op(e0, e0) = all_58_15
% 166.85/24.97  | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | REDUCE: (61), (3018) imply:
% 166.85/24.97  | | | | | | | | | | | |   (3027)  op(e0, e0) = e0
% 166.85/24.97  | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (37), (41), (42),
% 166.85/24.97  | | | | | | | | | | | |            (51), (52), (156), (157), (161), (162), (164),
% 166.85/24.97  | | | | | | | | | | | |            (165), (167), (170), (172), (178), (179), (180),
% 166.85/24.97  | | | | | | | | | | | |            (185), (187), (188), (189), (190), (192), (193),
% 166.85/24.97  | | | | | | | | | | | |            (203), (206), (208), (212), (214), (234), (236),
% 166.85/24.97  | | | | | | | | | | | |            (237), (238), (243), (244), (245), (248), (267),
% 166.85/24.97  | | | | | | | | | | | |            (268), (269), (270), (271), (272), (273), (274),
% 166.85/24.97  | | | | | | | | | | | |            (275), (276), (277), (278), (281), (282), (283),
% 166.85/24.97  | | | | | | | | | | | |            (284), (285), (289), (291), (292), (293), (294),
% 166.85/24.97  | | | | | | | | | | | |            (296), (330), (332), (333), (335), (347), (348),
% 166.85/24.97  | | | | | | | | | | | |            (351), (368), (371), (377), (386), (389), (390),
% 166.85/24.97  | | | | | | | | | | | |            (395), (396), (407), (411), (413), (425), (429),
% 166.85/24.97  | | | | | | | | | | | |            (431), (435), (439), (441), (448), (460), (463),
% 166.85/24.97  | | | | | | | | | | | |            (465), (468), (530), (531), (532), (533), (534),
% 166.85/24.97  | | | | | | | | | | | |            (535), (536), (539), (540), (541), (542), (544),
% 166.85/24.97  | | | | | | | | | | | |            (546), (548), (550), (552), (554), (555), (556),
% 166.85/24.97  | | | | | | | | | | | |            (558), (560), (564), (566), (567), (569), (570),
% 166.85/24.97  | | | | | | | | | | | |            (572), (574), (619), (622), (624), (625), (629),
% 166.85/24.97  | | | | | | | | | | | |            (630), (770), (3000), (3004), (3005), (3013),
% 166.85/24.97  | | | | | | | | | | | |            (3015), (3016), (3019), (3020), (3021), (3022),
% 166.85/24.97  | | | | | | | | | | | |            (3023), (3024), (3025), (3026), (3027),
% 166.85/24.97  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 166.85/24.97  | | | | | | | | | | | |            #229.
% 166.85/24.97  | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | Case 2:
% 166.85/24.97  | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | |   (3028)   ~ (all_56_15 = e0)
% 166.85/24.97  | | | | | | | | | | | |   (3029)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 166.85/24.97  | | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 166.85/24.97  | | | | | | | | | | | |             e0)
% 166.85/24.97  | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | ALPHA: (3029) implies:
% 166.85/24.97  | | | | | | | | | | | |   (3030)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 166.85/24.97  | | | | | | | | | | | |   (3031)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 166.85/24.97  | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | REDUCE: (533), (3028) imply:
% 166.85/24.97  | | | | | | | | | | | |   (3032)   ~ (all_14_2 = e0)
% 166.85/24.97  | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | BETA: splitting (238) gives:
% 166.85/24.97  | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | Case 1:
% 166.85/24.97  | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | |   (3033)  all_54_10 = e0
% 166.85/24.97  | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | REF_CLOSE: (530), (3004), (3033) are inconsistent by
% 166.85/24.97  | | | | | | | | | | | | |            sub-proof #909.
% 166.85/24.97  | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | Case 2:
% 166.85/24.97  | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | |   (3034)   ~ (all_54_10 = e0)
% 166.85/24.97  | | | | | | | | | | | | |   (3035)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 166.85/24.97  | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | BETA: splitting (243) gives:
% 166.85/24.97  | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | Case 1:
% 166.85/24.97  | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | |   (3036)  all_54_5 = e0
% 166.85/24.97  | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | REF_CLOSE: (531), (3013), (3036) are inconsistent by
% 166.85/24.97  | | | | | | | | | | | | | |            sub-proof #983.
% 166.85/24.97  | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | Case 2:
% 166.85/24.97  | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | |   (3037)   ~ (all_54_5 = e0)
% 166.85/24.97  | | | | | | | | | | | | | |   (3038)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 166.85/24.97  | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 166.85/24.97  | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | Case 1:
% 166.85/24.97  | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | |   (3039)  all_56_2 = e0
% 166.85/24.97  | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | COMBINE_EQS: (411), (3039) imply:
% 166.85/24.97  | | | | | | | | | | | | | | |   (3040)  all_52_1 = e0
% 166.85/24.97  | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | COMBINE_EQS: (389), (3040) imply:
% 166.85/24.97  | | | | | | | | | | | | | | |   (3041)  all_58_17 = e0
% 166.85/24.97  | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | REDUCE: (193), (3040) imply:
% 166.85/24.97  | | | | | | | | | | | | | | |   (3042)   ~ (all_52_2 = e0)
% 166.85/24.97  | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | SIMP: (3042) implies:
% 166.85/24.97  | | | | | | | | | | | | | | |   (3043)   ~ (all_52_2 = e0)
% 166.85/24.97  | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | REDUCE: (192), (3040) imply:
% 166.85/24.97  | | | | | | | | | | | | | | |   (3044)   ~ (all_52_3 = e0)
% 166.85/24.97  | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | SIMP: (3044) implies:
% 166.85/24.97  | | | | | | | | | | | | | | |   (3045)   ~ (all_52_3 = e0)
% 166.85/24.97  | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | REDUCE: (189), (3040) imply:
% 166.85/24.97  | | | | | | | | | | | | | | |   (3046)   ~ (all_52_13 = e0)
% 166.85/24.97  | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | SIMP: (3046) implies:
% 166.85/24.97  | | | | | | | | | | | | | | |   (3047)   ~ (all_52_13 = e0)
% 166.85/24.97  | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | REDUCE: (544), (3040) imply:
% 166.85/24.97  | | | | | | | | | | | | | | |   (3048)   ~ (all_6_2 = e0)
% 166.85/24.97  | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | SIMP: (3048) implies:
% 166.85/24.97  | | | | | | | | | | | | | | |   (3049)   ~ (all_6_2 = e0)
% 166.85/24.97  | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | REDUCE: (211), (3040) imply:
% 166.85/24.97  | | | | | | | | | | | | | | |   (3050)  op(e2, e3) = e0
% 166.85/24.97  | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 166.85/24.97  | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | Case 1:
% 166.85/24.97  | | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | |   (3051)  all_56_6 = e0
% 166.85/24.97  | | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (3051) imply:
% 166.85/24.97  | | | | | | | | | | | | | | | |   (3052)  all_52_2 = e0
% 166.85/24.97  | | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | | REDUCE: (3043), (3052) imply:
% 166.85/24.97  | | | | | | | | | | | | | | | |   (3053)  $false
% 166.85/24.97  | | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | | CLOSE: (3053) is inconsistent.
% 166.85/24.97  | | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | Case 2:
% 166.85/24.97  | | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | |   (3054)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 166.85/24.97  | | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 166.85/24.97  | | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.97  | | | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | | |   (3055)  all_56_4 = e0
% 166.85/24.97  | | | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (62), (154), (156),
% 166.85/24.97  | | | | | | | | | | | | | | | | |            (161), (162), (164), (165), (167), (169), (184),
% 166.85/24.97  | | | | | | | | | | | | | | | | |            (185), (188), (212), (236), (248), (269), (270),
% 166.85/24.97  | | | | | | | | | | | | | | | | |            (271), (272), (278), (293), (331), (332), (334),
% 166.85/24.97  | | | | | | | | | | | | | | | | |            (335), (347), (348), (351), (356), (371), (374),
% 166.85/24.97  | | | | | | | | | | | | | | | | |            (377), (386), (390), (395), (407), (429), (431),
% 166.85/24.97  | | | | | | | | | | | | | | | | |            (435), (439), (441), (465), (532), (533), (534),
% 166.85/24.97  | | | | | | | | | | | | | | | | |            (536), (537), (538), (539), (540), (542), (546),
% 166.85/24.97  | | | | | | | | | | | | | | | | |            (548), (552), (554), (556), (557), (564), (572),
% 166.85/24.97  | | | | | | | | | | | | | | | | |            (575), (578), (621), (3007), (3015), (3030),
% 166.85/24.97  | | | | | | | | | | | | | | | | |            (3031), (3041), (3045), (3047), (3055),
% 166.85/24.97  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 166.85/24.97  | | | | | | | | | | | | | | | | |            #226.
% 166.85/24.97  | | | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.97  | | | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | | |   (3056)   ~ (all_56_4 = e0)
% 166.85/24.97  | | | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | | | REDUCE: (429), (3056) imply:
% 166.85/24.97  | | | | | | | | | | | | | | | | |   (3057)   ~ (all_52_8 = e0)
% 166.85/24.97  | | | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 166.85/24.97  | | | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.97  | | | | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | | | |   (3058)  all_56_1 = e0
% 166.85/24.97  | | | | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (36), (37), (179), (180),
% 166.85/24.97  | | | | | | | | | | | | | | | | | |            (185), (187), (188), (203), (204), (213), (214),
% 166.85/24.97  | | | | | | | | | | | | | | | | | |            (236), (248), (267), (269), (278), (284), (291),
% 166.85/24.97  | | | | | | | | | | | | | | | | | |            (292), (293), (330), (331), (333), (335), (351),
% 166.85/24.97  | | | | | | | | | | | | | | | | | |            (356), (368), (371), (374), (386), (390), (396),
% 166.85/24.97  | | | | | | | | | | | | | | | | | |            (407), (413), (425), (429), (441), (465), (531),
% 166.85/24.97  | | | | | | | | | | | | | | | | | |            (532), (534), (535), (536), (537), (538), (540),
% 166.85/24.97  | | | | | | | | | | | | | | | | | |            (541), (542), (546), (548), (550), (554), (558),
% 166.85/24.97  | | | | | | | | | | | | | | | | | |            (560), (566), (578), (621), (624), (630), (631),
% 166.85/24.97  | | | | | | | | | | | | | | | | | |            (770), (3004), (3038), (3039), (3041), (3045),
% 166.85/24.97  | | | | | | | | | | | | | | | | | |            (3054), (3058), (function-axioms) are inconsistent
% 166.85/24.97  | | | | | | | | | | | | | | | | | |            by sub-proof #221.
% 166.85/24.97  | | | | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.97  | | | | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | | | |   (3059)   ~ (all_56_1 = e0)
% 166.85/24.97  | | | | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | | | | REDUCE: (396), (3059) imply:
% 166.85/24.97  | | | | | | | | | | | | | | | | | |   (3060)   ~ (all_52_4 = e0)
% 166.85/24.97  | | | | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (52), (53), (154), (156),
% 166.85/24.97  | | | | | | | | | | | | | | | | | |            (157), (164), (172), (178), (180), (185), (187),
% 166.85/24.97  | | | | | | | | | | | | | | | | | |            (188), (213), (241), (246), (247), (267), (270),
% 166.85/24.97  | | | | | | | | | | | | | | | | | |            (279), (286), (290), (291), (331), (333), (335),
% 166.85/24.97  | | | | | | | | | | | | | | | | | |            (351), (356), (368), (371), (374), (386), (390),
% 166.85/24.97  | | | | | | | | | | | | | | | | | |            (396), (407), (413), (425), (429), (439), (441),
% 166.85/24.97  | | | | | | | | | | | | | | | | | |            (446), (451), (462), (530), (533), (534), (536),
% 166.85/24.97  | | | | | | | | | | | | | | | | | |            (537), (538), (540), (541), (542), (546), (550),
% 166.85/24.97  | | | | | | | | | | | | | | | | | |            (552), (554), (558), (566), (569), (574), (576),
% 166.85/24.97  | | | | | | | | | | | | | | | | | |            (620), (626), (3004), (3011), (3015), (3035),
% 166.85/24.97  | | | | | | | | | | | | | | | | | |            (3039), (3041), (3045), (3049), (3050), (3054),
% 166.85/24.97  | | | | | | | | | | | | | | | | | |            (3057), (3060), (function-axioms) are inconsistent
% 166.85/24.97  | | | | | | | | | | | | | | | | | |            by sub-proof #684.
% 166.85/24.97  | | | | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | | | End of split
% 166.85/24.97  | | | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | | End of split
% 166.85/24.97  | | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | End of split
% 166.85/24.97  | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | Case 2:
% 166.85/24.97  | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | |   (3061)   ~ (all_56_2 = e0)
% 166.85/24.97  | | | | | | | | | | | | | | | 
% 166.85/24.97  | | | | | | | | | | | | | | | REDUCE: (411), (3061) imply:
% 166.85/24.97  | | | | | | | | | | | | | | |   (3062)   ~ (all_52_1 = e0)
% 166.85/24.97  | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (37), (41),
% 166.85/24.98  | | | | | | | | | | | | | | |            (42), (51), (52), (53), (61), (154), (156), (157),
% 166.85/24.98  | | | | | | | | | | | | | | |            (161), (162), (164), (165), (167), (169), (170),
% 166.85/24.98  | | | | | | | | | | | | | | |            (172), (177), (178), (179), (180), (183), (184),
% 166.85/24.98  | | | | | | | | | | | | | | |            (185), (187), (188), (189), (190), (192), (193),
% 166.85/24.98  | | | | | | | | | | | | | | |            (203), (204), (207), (208), (209), (211), (212),
% 166.85/24.98  | | | | | | | | | | | | | | |            (213), (214), (233), (234), (235), (236), (237),
% 166.85/24.98  | | | | | | | | | | | | | | |            (239), (240), (241), (242), (243), (244), (245),
% 166.85/24.98  | | | | | | | | | | | | | | |            (246), (247), (248), (267), (268), (269), (270),
% 166.85/24.98  | | | | | | | | | | | | | | |            (271), (272), (273), (274), (275), (276), (277),
% 166.85/24.98  | | | | | | | | | | | | | | |            (278), (279), (280), (281), (282), (284), (285),
% 166.85/24.98  | | | | | | | | | | | | | | |            (286), (287), (289), (290), (291), (292), (293),
% 166.85/24.98  | | | | | | | | | | | | | | |            (294), (295), (330), (331), (332), (333), (334),
% 166.85/24.98  | | | | | | | | | | | | | | |            (335), (341), (347), (348), (351), (356), (368),
% 166.85/24.98  | | | | | | | | | | | | | | |            (371), (374), (377), (386), (389), (390), (395),
% 166.85/24.98  | | | | | | | | | | | | | | |            (396), (407), (411), (413), (425), (429), (431),
% 166.85/24.98  | | | | | | | | | | | | | | |            (435), (439), (441), (446), (448), (451), (453),
% 166.85/24.98  | | | | | | | | | | | | | | |            (455), (456), (460), (462), (463), (465), (466),
% 166.85/24.98  | | | | | | | | | | | | | | |            (468), (521), (530), (531), (532), (533), (534),
% 166.85/24.98  | | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (540), (541),
% 166.85/24.98  | | | | | | | | | | | | | | |            (542), (544), (546), (548), (550), (552), (554),
% 166.85/24.98  | | | | | | | | | | | | | | |            (555), (556), (558), (560), (562), (564), (566),
% 166.85/24.98  | | | | | | | | | | | | | | |            (567), (568), (569), (570), (572), (574), (576),
% 166.85/24.98  | | | | | | | | | | | | | | |            (577), (578), (619), (620), (621), (622), (623),
% 166.85/24.98  | | | | | | | | | | | | | | |            (624), (625), (626), (627), (628), (629), (630),
% 166.85/24.98  | | | | | | | | | | | | | | |            (631), (632), (633), (684), (770), (2998), (3000),
% 166.85/24.98  | | | | | | | | | | | | | | |            (3003), (3004), (3009), (3011), (3013), (3030),
% 166.85/24.98  | | | | | | | | | | | | | | |            (3031), (3032), (3035), (3038), (3062),
% 166.85/24.98  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 166.85/24.98  | | | | | | | | | | | | | | |            #191.
% 166.85/24.98  | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | End of split
% 166.85/24.98  | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | End of split
% 166.85/24.98  | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | End of split
% 166.85/24.98  | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | End of split
% 166.85/24.98  | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | Case 2:
% 166.85/24.98  | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | |   (3063)  all_48_2 = e1
% 166.85/24.98  | | | | | | | | | | |   (3064)   ~ (all_48_0 = e3) |  ~ (all_48_1 = e2)
% 166.85/24.98  | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | COMBINE_EQS: (478), (3063) imply:
% 166.85/24.98  | | | | | | | | | | |   (3065)  all_14_2 = e1
% 166.85/24.98  | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | SIMP: (3065) implies:
% 166.85/24.98  | | | | | | | | | | |   (3066)  all_14_2 = e1
% 166.85/24.98  | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | COMBINE_EQS: (525), (3066) imply:
% 166.85/24.98  | | | | | | | | | | |   (3067)  all_50_2 = e1
% 166.85/24.98  | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | COMBINE_EQS: (533), (3066) imply:
% 166.85/24.98  | | | | | | | | | | |   (3068)  all_56_15 = e1
% 166.85/24.98  | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | COMBINE_EQS: (537), (3066) imply:
% 166.85/24.98  | | | | | | | | | | |   (3069)  all_58_31 = e1
% 166.85/24.98  | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | REDUCE: (557), (3066) imply:
% 166.85/24.98  | | | | | | | | | | |   (3070)   ~ (all_52_3 = e1)
% 166.85/24.98  | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | REDUCE: (568), (3066) imply:
% 166.85/24.98  | | | | | | | | | | |   (3071)   ~ (all_52_7 = e1)
% 166.85/24.98  | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | REDUCE: (575), (3066) imply:
% 166.85/24.98  | | | | | | | | | | |   (3072)   ~ (all_52_11 = e1)
% 166.85/24.98  | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | REDUCE: (576), (3066) imply:
% 166.85/24.98  | | | | | | | | | | |   (3073)   ~ (all_52_12 = e1)
% 166.85/24.98  | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | REDUCE: (577), (3066) imply:
% 166.85/24.98  | | | | | | | | | | |   (3074)   ~ (all_52_13 = e1)
% 166.85/24.98  | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | REDUCE: (578), (3066) imply:
% 166.85/24.98  | | | | | | | | | | |   (3075)   ~ (all_52_14 = e1)
% 166.85/24.98  | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | REDUCE: (63), (3066) imply:
% 166.85/24.98  | | | | | | | | | | |   (3076)  op(all_14_1, e1) = all_14_0
% 166.85/24.98  | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | REDUCE: (62), (3066) imply:
% 166.85/24.98  | | | | | | | | | | |   (3077)  op(e1, e0) = all_14_1
% 166.85/24.98  | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | REDUCE: (634), (3066) imply:
% 166.85/24.98  | | | | | | | | | | |   (3078)  op(e0, e1) = all_58_15
% 166.85/24.98  | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 166.85/24.98  | | | | | | | | | | |              all_58_15, e1, e0, simplifying with (201), (3078)
% 166.85/24.98  | | | | | | | | | | |              gives:
% 166.85/24.98  | | | | | | | | | | |   (3079)  all_58_15 = all_52_11
% 166.85/24.98  | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 166.85/24.98  | | | | | | | | | | |              all_14_1, e0, e1, simplifying with (204), (3077)
% 166.85/24.98  | | | | | | | | | | |              gives:
% 166.85/24.98  | | | | | | | | | | |   (3080)  all_52_14 = all_14_1
% 166.85/24.98  | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | COMBINE_EQS: (463), (3080) imply:
% 166.85/24.98  | | | | | | | | | | |   (3081)  all_54_11 = all_14_1
% 166.85/24.98  | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | COMBINE_EQS: (441), (3080) imply:
% 166.85/24.98  | | | | | | | | | | |   (3082)  all_56_11 = all_14_1
% 166.85/24.98  | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | COMBINE_EQS: (356), (3080) imply:
% 166.85/24.98  | | | | | | | | | | |   (3083)  all_58_30 = all_14_1
% 166.85/24.98  | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | REDUCE: (185), (3080) imply:
% 166.85/24.98  | | | | | | | | | | |   (3084)   ~ (all_52_2 = all_14_1)
% 166.85/24.98  | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | REDUCE: (170), (3080) imply:
% 166.85/24.98  | | | | | | | | | | |   (3085)   ~ (all_52_6 = all_14_1)
% 166.85/24.98  | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | REDUCE: (156), (3080) imply:
% 166.85/24.98  | | | | | | | | | | |   (3086)   ~ (all_52_12 = all_14_1)
% 166.85/24.98  | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | REDUCE: (154), (3080) imply:
% 166.85/24.98  | | | | | | | | | | |   (3087)   ~ (all_52_13 = all_14_1)
% 166.85/24.98  | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | REDUCE: (574), (3080) imply:
% 166.85/24.98  | | | | | | | | | | |   (3088)   ~ (all_14_1 = all_10_2)
% 166.85/24.98  | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | BETA: splitting (150) gives:
% 166.85/24.98  | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | Case 1:
% 166.85/24.98  | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | |   (3089)   ~ (all_50_2 = e1)
% 166.85/24.98  | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | REDUCE: (3067), (3089) imply:
% 166.85/24.98  | | | | | | | | | | | |   (3090)  $false
% 166.85/24.98  | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | CLOSE: (3090) is inconsistent.
% 166.85/24.98  | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | Case 2:
% 166.85/24.98  | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | |   (3091)   ~ (all_50_0 = e2) |  ~ (all_50_1 = e3)
% 166.85/24.98  | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | BETA: splitting (238) gives:
% 166.85/24.98  | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | Case 1:
% 166.85/24.98  | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | |   (3092)  all_54_10 = e0
% 166.85/24.98  | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | COMBINE_EQS: (530), (3092) imply:
% 166.85/24.98  | | | | | | | | | | | | |   (3093)  all_10_2 = e0
% 166.85/24.98  | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | REDUCE: (3004), (3093) imply:
% 166.85/24.98  | | | | | | | | | | | | |   (3094)  $false
% 166.85/24.98  | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | CLOSE: (3094) is inconsistent.
% 166.85/24.98  | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | Case 2:
% 166.85/24.98  | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | |   (3095)   ~ (all_54_10 = e0)
% 166.85/24.98  | | | | | | | | | | | | |   (3096)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 166.85/24.98  | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | BETA: splitting (243) gives:
% 166.85/24.98  | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | Case 1:
% 166.85/24.98  | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | |   (3097)  all_54_5 = e0
% 166.85/24.98  | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | COMBINE_EQS: (531), (3097) imply:
% 166.85/24.98  | | | | | | | | | | | | | |   (3098)  all_4_2 = e0
% 166.85/24.98  | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | REDUCE: (3013), (3098) imply:
% 166.85/24.98  | | | | | | | | | | | | | |   (3099)  $false
% 166.85/24.98  | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | CLOSE: (3099) is inconsistent.
% 166.85/24.98  | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | Case 2:
% 166.85/24.98  | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | |   (3100)   ~ (all_54_5 = e0)
% 166.85/24.98  | | | | | | | | | | | | | |   (3101)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 166.85/24.98  | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 166.85/24.98  | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | Case 1:
% 166.85/24.98  | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | |   (3102)  all_54_13 = e0
% 166.85/24.98  | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | COMBINE_EQS: (466), (3102) imply:
% 166.85/24.98  | | | | | | | | | | | | | | |   (3103)  all_52_7 = e0
% 166.85/24.98  | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | COMBINE_EQS: (348), (3103) imply:
% 166.85/24.98  | | | | | | | | | | | | | | |   (3104)  all_56_13 = e0
% 166.85/24.98  | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | REDUCE: (184), (3103) imply:
% 166.85/24.98  | | | | | | | | | | | | | | |   (3105)   ~ (all_52_3 = e0)
% 166.85/24.98  | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | REDUCE: (179), (3103) imply:
% 166.85/24.98  | | | | | | | | | | | | | | |   (3106)   ~ (all_52_4 = e0)
% 166.85/24.98  | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | REDUCE: (172), (3103) imply:
% 166.85/24.98  | | | | | | | | | | | | | | |   (3107)   ~ (all_52_6 = e0)
% 166.85/24.98  | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | REDUCE: (169), (3103) imply:
% 166.85/24.98  | | | | | | | | | | | | | | |   (3108)   ~ (all_52_11 = e0)
% 166.85/24.98  | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | SIMP: (3108) implies:
% 166.85/24.98  | | | | | | | | | | | | | | |   (3109)   ~ (all_52_11 = e0)
% 166.85/24.98  | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | REDUCE: (562), (3103) imply:
% 166.85/24.98  | | | | | | | | | | | | | | |   (3110)   ~ (all_4_2 = e0)
% 166.85/24.98  | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | REDUCE: (3071), (3103) imply:
% 166.85/24.98  | | | | | | | | | | | | | | |   (3111)   ~ (e1 = e0)
% 166.85/24.98  | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 166.85/24.98  | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | Case 1:
% 166.85/24.98  | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | |   (3112)  all_54_14 = e0
% 166.85/24.98  | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | REF_CLOSE: (468), (3109), (3112) are inconsistent by
% 166.85/24.98  | | | | | | | | | | | | | | | |            sub-proof #799.
% 166.85/24.98  | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | Case 2:
% 166.85/24.98  | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | |   (3113)   ~ (all_54_14 = e0)
% 166.85/24.98  | | | | | | | | | | | | | | | |   (3114)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 166.85/24.98  | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 166.85/24.98  | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.98  | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | |   (3115)  all_54_12 = e0
% 166.85/24.98  | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | COMBINE_EQS: (465), (3115) imply:
% 166.85/24.98  | | | | | | | | | | | | | | | | |   (3116)  all_52_3 = e0
% 166.85/24.98  | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | REDUCE: (3105), (3116) imply:
% 166.85/24.98  | | | | | | | | | | | | | | | | |   (3117)  $false
% 166.85/24.98  | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | CLOSE: (3117) is inconsistent.
% 166.85/24.98  | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.98  | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | |   (3118)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 166.85/24.98  | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 166.85/24.98  | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.98  | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | |   (3119)  all_56_6 = e0
% 166.85/24.98  | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (3119) imply:
% 166.85/24.98  | | | | | | | | | | | | | | | | | |   (3120)  all_52_2 = e0
% 166.85/24.98  | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (3120) imply:
% 166.85/24.98  | | | | | | | | | | | | | | | | | |   (3121)  all_58_18 = e0
% 166.85/24.98  | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | REDUCE: (188), (3120) imply:
% 166.85/24.98  | | | | | | | | | | | | | | | | | |   (3122)   ~ (all_52_3 = e0)
% 166.85/24.98  | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | REDUCE: (187), (3120) imply:
% 166.85/24.98  | | | | | | | | | | | | | | | | | |   (3123)   ~ (all_52_6 = e0)
% 166.85/24.98  | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | REDUCE: (3084), (3120) imply:
% 166.85/24.98  | | | | | | | | | | | | | | | | | |   (3124)   ~ (all_14_1 = e0)
% 166.85/24.98  | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | SIMP: (3124) implies:
% 166.85/24.98  | | | | | | | | | | | | | | | | | |   (3125)   ~ (all_14_1 = e0)
% 166.85/24.98  | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | REDUCE: (556), (3120) imply:
% 166.85/24.98  | | | | | | | | | | | | | | | | | |   (3126)   ~ (all_10_2 = e0)
% 166.85/24.98  | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | REDUCE: (546), (3120) imply:
% 166.85/24.98  | | | | | | | | | | | | | | | | | |   (3127)   ~ (all_6_2 = e0)
% 166.85/24.98  | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | SIMP: (3127) implies:
% 166.85/24.98  | | | | | | | | | | | | | | | | | |   (3128)   ~ (all_6_2 = e0)
% 166.85/24.98  | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (51), (157), (162), (164), (165),
% 166.85/24.98  | | | | | | | | | | | | | | | | | |            (167), (177), (178), (180), (189), (190), (192),
% 166.85/24.98  | | | | | | | | | | | | | | | | | |            (203), (208), (213), (214), (237), (239), (246),
% 166.85/24.98  | | | | | | | | | | | | | | | | | |            (247), (248), (266), (269), (276), (277), (286),
% 166.85/24.98  | | | | | | | | | | | | | | | | | |            (287), (290), (291), (295), (330), (331), (332),
% 166.85/24.98  | | | | | | | | | | | | | | | | | |            (335), (347), (351), (374), (377), (389), (390),
% 166.85/24.98  | | | | | | | | | | | | | | | | | |            (395), (396), (407), (411), (425), (429), (431),
% 166.85/24.98  | | | | | | | | | | | | | | | | | |            (435), (439), (446), (451), (456), (465), (531),
% 166.85/24.98  | | | | | | | | | | | | | | | | | |            (532), (534), (535), (536), (538), (539), (542),
% 166.85/24.98  | | | | | | | | | | | | | | | | | |            (544), (548), (550), (552), (554), (555), (560),
% 166.85/24.98  | | | | | | | | | | | | | | | | | |            (566), (567), (569), (570), (620), (626), (629),
% 166.85/24.98  | | | | | | | | | | | | | | | | | |            (631), (692), (769), (3004), (3007), (3068),
% 166.85/24.98  | | | | | | | | | | | | | | | | | |            (3069), (3070), (3073), (3074), (3076), (3081),
% 166.85/24.98  | | | | | | | | | | | | | | | | | |            (3082), (3083), (3085), (3086), (3087), (3091),
% 166.85/24.98  | | | | | | | | | | | | | | | | | |            (3101), (3104), (3105), (3106), (3107), (3109),
% 166.85/24.98  | | | | | | | | | | | | | | | | | |            (3118), (3119), (3121), (3125), (3128),
% 166.85/24.98  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 166.85/24.98  | | | | | | | | | | | | | | | | | |            #189.
% 166.85/24.98  | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.98  | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | |   (3129)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 166.85/24.98  | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | BETA: splitting (3129) gives:
% 166.85/24.98  | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | |   (3130)  all_56_7 = e0
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (3130) imply:
% 166.85/24.98  | | | | | | | | | | | | | | | | | | |   (3131)  all_52_6 = e0
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | REDUCE: (3107), (3131) imply:
% 166.85/24.98  | | | | | | | | | | | | | | | | | | |   (3132)  $false
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | CLOSE: (3132) is inconsistent.
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | |   (3133)  all_56_8 = e0 | all_56_11 = e0
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | BETA: splitting (3133) gives:
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | |   (3134)  all_56_8 = e0
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (534), (3004), (3134) are inconsistent by
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | |            sub-proof #916.
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | |   (3135)  all_56_11 = e0
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3082), (3135) imply:
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | |   (3136)  all_14_1 = e0
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | | SIMP: (3136) implies:
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | |   (3137)  all_14_1 = e0
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3083), (3137) imply:
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | |   (3138)  all_58_30 = e0
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | | REDUCE: (3084), (3137) imply:
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | |   (3139)   ~ (all_52_2 = e0)
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | | REDUCE: (3086), (3137) imply:
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | |   (3140)   ~ (all_52_12 = e0)
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | | REDUCE: (3088), (3137) imply:
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | |   (3141)   ~ (all_10_2 = e0)
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | | REDUCE: (3076), (3137) imply:
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | |   (3142)  op(e0, e1) = all_14_0
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | |              all_14_0, e1, e0, simplifying with (201), (3142)
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | |              gives:
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | |   (3143)  all_52_11 = all_14_0
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (468), (3143) imply:
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | |   (3144)  all_54_14 = all_14_0
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (3143) imply:
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | |   (3145)  all_58_27 = all_14_0
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.98  | | | | | | | | | | | | | | | | | | | | REDUCE: (183), (3143) imply:
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | |   (3146)   ~ (all_52_3 = all_14_0)
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (3143) imply:
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | |   (3147)   ~ (all_52_8 = all_14_0)
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (3143) imply:
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | |   (3148)   ~ (all_52_9 = all_14_0)
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | REDUCE: (572), (3143) imply:
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | |   (3149)   ~ (all_14_0 = all_10_2)
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | |   (3150)  all_54_3 = e0
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (460), (3140), (3150) are inconsistent by
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | |            sub-proof #898.
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | |   (3151)   ~ (all_54_3 = e0)
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | |   (3152)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | |   (3153)  all_56_4 = e0
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (3153) imply:
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | |   (3154)  all_52_8 = e0
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (3154) imply:
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | |   (3155)   ~ (all_6_2 = e0)
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | SIMP: (3155) implies:
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | |   (3156)   ~ (all_6_2 = e0)
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | |   (3157)  all_56_0 = e0
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (3157) imply:
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | |   (3158)  all_6_2 = e0
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3156), (3158) imply:
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | |   (3159)  $false
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3159) is inconsistent.
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | |   (3160)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (52), (157), (164), (184), (190), (192),
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | |            (193), (213), (272), (277), (285), (292), (331),
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | |            (332), (335), (348), (351), (371), (374), (377),
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | |            (389), (390), (395), (396), (407), (411), (413),
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | |            (425), (429), (431), (435), (460), (530), (534),
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | |            (535), (536), (538), (539), (542), (546), (554),
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | |            (556), (570), (620), (3004), (3009), (3013),
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | |            (3069), (3073), (3096), (3106), (3107), (3109),
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | |            (3138), (3139), (3145), (3147), (3152), (3160),
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | |            #187.
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | |   (3161)   ~ (all_56_4 = e0)
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | |   (3162)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (429), (3161) imply:
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | |   (3163)   ~ (all_52_8 = e0)
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (192), (203), (212), (269), (290), (291),
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | |            (332), (335), (351), (371), (377), (389), (390),
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | |            (395), (396), (407), (411), (413), (429), (431),
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | |            (435), (465), (534), (536), (539), (542), (548),
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | |            (554), (556), (570), (619), (3000), (3004),
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | |            (3005), (3070), (3106), (3109), (3114), (3118),
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | |            (3140), (3144), (3145), (3146), (3147), (3148),
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | |            (3149), (3162), (3163), (function-axioms) are
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #185.
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.99  | | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | | End of split
% 166.85/24.99  | | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | | End of split
% 166.85/24.99  | | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | | End of split
% 166.85/24.99  | | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | End of split
% 166.85/24.99  | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | Case 2:
% 166.85/24.99  | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | |   (3164)   ~ (all_54_13 = e0)
% 166.85/24.99  | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | REDUCE: (466), (3164) imply:
% 166.85/24.99  | | | | | | | | | | | | | | |   (3165)   ~ (all_52_7 = e0)
% 166.85/24.99  | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (37), (157),
% 166.85/24.99  | | | | | | | | | | | | | | |            (162), (172), (177), (178), (179), (180), (185),
% 166.85/24.99  | | | | | | | | | | | | | | |            (187), (188), (190), (192), (193), (201), (203),
% 166.85/24.99  | | | | | | | | | | | | | | |            (204), (206), (209), (213), (214), (236), (237),
% 166.85/24.99  | | | | | | | | | | | | | | |            (240), (241), (248), (266), (267), (269), (273),
% 166.85/24.99  | | | | | | | | | | | | | | |            (278), (281), (282), (284), (285), (286), (291),
% 166.85/24.99  | | | | | | | | | | | | | | |            (292), (293), (330), (331), (332), (333), (335),
% 166.85/24.99  | | | | | | | | | | | | | | |            (347), (348), (351), (356), (368), (371), (374),
% 166.85/24.99  | | | | | | | | | | | | | | |            (377), (386), (389), (390), (395), (396), (407),
% 166.85/24.99  | | | | | | | | | | | | | | |            (411), (413), (425), (429), (431), (435), (439),
% 166.85/24.99  | | | | | | | | | | | | | | |            (441), (455), (462), (465), (531), (532), (534),
% 166.85/24.99  | | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (540), (541),
% 166.85/24.99  | | | | | | | | | | | | | | |            (542), (544), (546), (548), (554), (555), (556),
% 166.85/24.99  | | | | | | | | | | | | | | |            (558), (560), (566), (569), (578), (621), (624),
% 166.85/24.99  | | | | | | | | | | | | | | |            (630), (631), (691), (729), (770), (3004), (3005),
% 166.85/24.99  | | | | | | | | | | | | | | |            (3007), (3013), (3064), (3068), (3069), (3071),
% 166.85/24.99  | | | | | | | | | | | | | | |            (3072), (3073), (3074), (3076), (3081), (3082),
% 166.85/24.99  | | | | | | | | | | | | | | |            (3083), (3084), (3085), (3086), (3087), (3088),
% 166.85/24.99  | | | | | | | | | | | | | | |            (3101), (3165), (function-axioms) are inconsistent
% 166.85/24.99  | | | | | | | | | | | | | | |            by sub-proof #180.
% 166.85/24.99  | | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | | End of split
% 166.85/24.99  | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | End of split
% 166.85/24.99  | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | End of split
% 166.85/24.99  | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | End of split
% 166.85/24.99  | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | End of split
% 166.85/24.99  | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | Case 2:
% 166.85/24.99  | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | |   (3166)  all_24_2 = e0
% 166.85/24.99  | | | | | | | | | |   (3167)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3)
% 166.85/24.99  | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | COMBINE_EQS: (510), (3166) imply:
% 166.85/24.99  | | | | | | | | | |   (3168)  all_4_2 = e0
% 166.85/24.99  | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (38), (42),
% 166.85/24.99  | | | | | | | | | |            (43), (61), (62), (63), (126), (131), (154),
% 166.85/24.99  | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 166.85/24.99  | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 166.85/24.99  | | | | | | | | | |            (183), (184), (185), (187), (188), (189), (190),
% 166.85/24.99  | | | | | | | | | |            (192), (193), (202), (203), (204), (207), (208),
% 166.85/24.99  | | | | | | | | | |            (209), (212), (234), (235), (236), (237), (238),
% 166.85/24.99  | | | | | | | | | |            (239), (240), (241), (242), (244), (245), (246),
% 166.85/24.99  | | | | | | | | | |            (247), (248), (266), (267), (269), (270), (271),
% 166.85/24.99  | | | | | | | | | |            (272), (273), (275), (276), (277), (278), (279),
% 166.85/24.99  | | | | | | | | | |            (280), (283), (284), (286), (287), (288), (289),
% 166.85/24.99  | | | | | | | | | |            (290), (291), (292), (293), (294), (295), (330),
% 166.85/24.99  | | | | | | | | | |            (331), (332), (333), (334), (335), (347), (348),
% 166.85/24.99  | | | | | | | | | |            (351), (356), (368), (371), (374), (377), (386),
% 166.85/24.99  | | | | | | | | | |            (389), (390), (395), (396), (407), (411), (413),
% 166.85/24.99  | | | | | | | | | |            (425), (429), (431), (435), (439), (441), (446),
% 166.85/24.99  | | | | | | | | | |            (448), (451), (453), (455), (456), (460), (462),
% 166.85/24.99  | | | | | | | | | |            (463), (465), (466), (468), (494), (496), (530),
% 166.85/24.99  | | | | | | | | | |            (532), (533), (534), (535), (536), (537), (538),
% 166.85/24.99  | | | | | | | | | |            (539), (540), (541), (542), (544), (546), (548),
% 166.85/24.99  | | | | | | | | | |            (550), (552), (554), (555), (556), (557), (558),
% 166.85/24.99  | | | | | | | | | |            (560), (562), (564), (567), (568), (569), (570),
% 166.85/24.99  | | | | | | | | | |            (572), (574), (575), (576), (577), (578), (619),
% 166.85/24.99  | | | | | | | | | |            (621), (622), (624), (627), (630), (631), (633),
% 166.85/24.99  | | | | | | | | | |            (634), (674), (688), (740), (755), (3004), (3005),
% 166.85/24.99  | | | | | | | | | |            (3167), (3168), (function-axioms) are inconsistent
% 166.85/24.99  | | | | | | | | | |            by sub-proof #438.
% 166.85/24.99  | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | End of split
% 166.85/24.99  | | | | | | | | | 
% 166.85/24.99  | | | | | | | | Case 2:
% 166.85/24.99  | | | | | | | | | 
% 166.85/24.99  | | | | | | | | |   (3169)  all_22_0 = e0
% 166.85/24.99  | | | | | | | | |   (3170)   ~ (all_22_1 = e2) |  ~ (all_22_2 = e3)
% 166.85/24.99  | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | COMBINE_EQS: (723), (3169) imply:
% 166.85/24.99  | | | | | | | | |   (3171)  all_10_0 = e0
% 166.85/24.99  | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | SIMP: (3171) implies:
% 166.85/24.99  | | | | | | | | |   (3172)  all_10_0 = e0
% 166.85/24.99  | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | COMBINE_EQS: (768), (3172) imply:
% 166.85/24.99  | | | | | | | | |   (3173)  all_38_0 = e0
% 166.85/24.99  | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | REDUCE: (53), (3172) imply:
% 166.85/24.99  | | | | | | | | |   (3174)  op(all_10_1, all_10_2) = e0
% 166.85/24.99  | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | BETA: splitting (89) gives:
% 166.85/24.99  | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | Case 1:
% 166.85/24.99  | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | |   (3175)   ~ (all_24_2 = e0)
% 166.85/24.99  | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | REDUCE: (510), (3175) imply:
% 166.85/24.99  | | | | | | | | | |   (3176)   ~ (all_4_2 = e0)
% 166.85/24.99  | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | BETA: splitting (121) gives:
% 166.85/24.99  | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | Case 1:
% 166.85/24.99  | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | |   (3177)   ~ (all_38_0 = e0)
% 166.85/24.99  | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | REDUCE: (3173), (3177) imply:
% 166.85/24.99  | | | | | | | | | | |   (3178)  $false
% 166.85/24.99  | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | CLOSE: (3178) is inconsistent.
% 166.85/24.99  | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | Case 2:
% 166.85/24.99  | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | |   (3179)   ~ (all_38_1 = e3) |  ~ (all_38_2 = e2)
% 166.85/24.99  | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | BETA: splitting (145) gives:
% 166.85/24.99  | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | Case 1:
% 166.85/24.99  | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | |   (3180)   ~ (all_48_2 = e1)
% 166.85/24.99  | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | REDUCE: (478), (3180) imply:
% 166.85/24.99  | | | | | | | | | | | |   (3181)   ~ (all_14_2 = e1)
% 166.85/24.99  | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | BETA: splitting (266) gives:
% 166.85/24.99  | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | Case 1:
% 166.85/24.99  | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | |   (3182)  all_56_15 = e0
% 166.85/24.99  | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | COMBINE_EQS: (533), (3182) imply:
% 166.85/24.99  | | | | | | | | | | | | |   (3183)  all_14_2 = e0
% 166.85/24.99  | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | SIMP: (3183) implies:
% 166.85/24.99  | | | | | | | | | | | | |   (3184)  all_14_2 = e0
% 166.85/24.99  | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | REDUCE: (557), (3184) imply:
% 166.85/24.99  | | | | | | | | | | | | |   (3185)   ~ (all_52_3 = e0)
% 166.85/24.99  | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | REDUCE: (568), (3184) imply:
% 166.85/24.99  | | | | | | | | | | | | |   (3186)   ~ (all_52_7 = e0)
% 166.85/24.99  | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | REDUCE: (575), (3184) imply:
% 166.85/24.99  | | | | | | | | | | | | |   (3187)   ~ (all_52_11 = e0)
% 166.85/24.99  | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | REDUCE: (577), (3184) imply:
% 166.85/24.99  | | | | | | | | | | | | |   (3188)   ~ (all_52_13 = e0)
% 166.85/24.99  | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | REDUCE: (578), (3184) imply:
% 166.85/24.99  | | | | | | | | | | | | |   (3189)   ~ (all_52_14 = e0)
% 166.85/24.99  | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | REDUCE: (63), (3184) imply:
% 166.85/24.99  | | | | | | | | | | | | |   (3190)  op(all_14_1, e0) = all_14_0
% 166.85/24.99  | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | REDUCE: (62), (3184) imply:
% 166.85/24.99  | | | | | | | | | | | | |   (3191)  op(e0, e0) = all_14_1
% 166.85/24.99  | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | REDUCE: (634), (3184) imply:
% 166.85/24.99  | | | | | | | | | | | | |   (3192)  op(e0, e0) = all_58_15
% 166.85/24.99  | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | REDUCE: (61), (3184) imply:
% 166.85/24.99  | | | | | | | | | | | | |   (3193)  op(e0, e0) = e0
% 166.85/24.99  | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1,
% 166.85/24.99  | | | | | | | | | | | | |              all_58_15, e0, e0, simplifying with (3191), (3192)
% 166.85/24.99  | | | | | | | | | | | | |              gives:
% 166.85/24.99  | | | | | | | | | | | | |   (3194)  all_58_15 = all_14_1
% 166.85/24.99  | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 166.85/24.99  | | | | | | | | | | | | |              all_58_15, e0, e0, simplifying with (3192), (3193)
% 166.85/24.99  | | | | | | | | | | | | |              gives:
% 166.85/24.99  | | | | | | | | | | | | |   (3195)  all_58_15 = e0
% 166.85/24.99  | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | COMBINE_EQS: (3194), (3195) imply:
% 166.85/24.99  | | | | | | | | | | | | |   (3196)  all_14_1 = e0
% 166.85/24.99  | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | SIMP: (3196) implies:
% 166.85/24.99  | | | | | | | | | | | | |   (3197)  all_14_1 = e0
% 166.85/24.99  | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | REDUCE: (3190), (3197) imply:
% 166.85/24.99  | | | | | | | | | | | | |   (3198)  op(e0, e0) = all_14_0
% 166.85/24.99  | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_14_0,
% 166.85/24.99  | | | | | | | | | | | | |              e0, e0, simplifying with (3193), (3198) gives:
% 166.85/24.99  | | | | | | | | | | | | |   (3199)  all_14_0 = e0
% 166.85/24.99  | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | REDUCE: (3005), (3199) imply:
% 166.85/24.99  | | | | | | | | | | | | |   (3200)   ~ (e1 = e0)
% 166.85/24.99  | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | BETA: splitting (281) gives:
% 166.85/24.99  | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | Case 1:
% 166.85/24.99  | | | | | | | | | | | | | | 
% 166.85/24.99  | | | | | | | | | | | | | |   (3201)  all_56_2 = e0
% 166.85/24.99  | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (37), (41), (51),
% 166.85/25.00  | | | | | | | | | | | | | |            (52), (162), (165), (167), (170), (172), (179),
% 166.85/25.00  | | | | | | | | | | | | | |            (185), (187), (188), (189), (190), (192), (193),
% 166.85/25.00  | | | | | | | | | | | | | |            (206), (214), (237), (238), (243), (248), (273),
% 166.85/25.00  | | | | | | | | | | | | | |            (274), (277), (281), (284), (285), (289), (291),
% 166.85/25.00  | | | | | | | | | | | | | |            (292), (293), (294), (296), (330), (332), (333),
% 166.85/25.00  | | | | | | | | | | | | | |            (335), (347), (348), (351), (368), (371), (377),
% 166.85/25.00  | | | | | | | | | | | | | |            (386), (389), (390), (395), (396), (407), (411),
% 166.85/25.00  | | | | | | | | | | | | | |            (413), (425), (429), (431), (435), (439), (441),
% 166.85/25.00  | | | | | | | | | | | | | |            (463), (530), (531), (532), (534), (535), (536),
% 166.85/25.00  | | | | | | | | | | | | | |            (539), (540), (541), (542), (544), (546), (548),
% 166.85/25.00  | | | | | | | | | | | | | |            (550), (552), (555), (556), (558), (560), (564),
% 166.85/25.00  | | | | | | | | | | | | | |            (567), (569), (570), (574), (619), (622), (624),
% 166.85/25.00  | | | | | | | | | | | | | |            (629), (630), (770), (3004), (3005), (3186),
% 166.85/25.00  | | | | | | | | | | | | | |            (3187), (3189), (3190), (3191), (3192), (3193),
% 166.85/25.00  | | | | | | | | | | | | | |            (3201), (function-axioms) are inconsistent by
% 166.85/25.00  | | | | | | | | | | | | | |            sub-proof #236.
% 166.85/25.00  | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | Case 2:
% 166.85/25.00  | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | |   (3202)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 166.85/25.00  | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | BETA: splitting (3202) gives:
% 166.85/25.00  | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | Case 1:
% 166.85/25.00  | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | |   (3203)  all_56_3 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | COMBINE_EQS: (535), (3203) imply:
% 166.85/25.00  | | | | | | | | | | | | | | |   (3204)  all_4_2 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | REDUCE: (3176), (3204) imply:
% 166.85/25.00  | | | | | | | | | | | | | | |   (3205)  $false
% 166.85/25.00  | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | CLOSE: (3205) is inconsistent.
% 166.85/25.00  | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | Case 2:
% 166.85/25.00  | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | |   (3206)  all_56_5 = e0 | all_56_10 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | BETA: splitting (3206) gives:
% 166.85/25.00  | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | Case 1:
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | |   (3207)  all_56_5 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (3207) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | |   (3208)  all_52_9 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | COMBINE_EQS: (377), (3208) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | |   (3209)  all_58_25 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | REDUCE: (190), (3208) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | |   (3210)   ~ (all_52_1 = e0)
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | REDUCE: (162), (3208) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | |   (3211)   ~ (all_52_11 = e0)
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | REDUCE: (570), (3208) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | |   (3212)   ~ (all_10_2 = e0)
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | REDUCE: (564), (3208) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | |   (3213)   ~ (all_4_2 = e0)
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | REDUCE: (625), (3208) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | |   (3214)  op(e2, e0) = all_58_6
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 166.85/25.00  | | | | | | | | | | | | | | | |              all_58_6, e0, e2, simplifying with (208), (3214)
% 166.85/25.00  | | | | | | | | | | | | | | | |              gives:
% 166.85/25.00  | | | | | | | | | | | | | | | |   (3215)  all_58_6 = all_52_13
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | Case 1:
% 166.85/25.00  | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | |   (3216)  all_56_0 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (3216) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | | |   (3217)  all_6_2 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | SIMP: (3217) implies:
% 166.85/25.00  | | | | | | | | | | | | | | | | |   (3218)  all_6_2 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (3218) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | | |   (3219)  all_58_16 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | REDUCE: (546), (3218) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | | |   (3220)   ~ (all_52_2 = e0)
% 166.85/25.00  | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | REDUCE: (552), (3218) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | | |   (3221)   ~ (all_52_8 = e0)
% 166.85/25.00  | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | REDUCE: (554), (3218) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | | |   (3222)   ~ (all_52_12 = e0)
% 166.85/25.00  | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | REDUCE: (3000), (3218) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | | |   (3223)  op(all_6_1, e0) = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | REDUCE: (42), (3218) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | | |   (3224)  op(e0, e3) = all_6_1
% 166.85/25.00  | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | REDUCE: (619), (3218) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | | |   (3225)  op(e3, e0) = all_58_0
% 166.85/25.00  | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (37), (156), (157),
% 166.85/25.00  | | | | | | | | | | | | | | | | |            (164), (165), (172), (178), (179), (180), (185),
% 166.85/25.00  | | | | | | | | | | | | | | | | |            (188), (192), (193), (203), (206), (208), (212),
% 166.85/25.00  | | | | | | | | | | | | | | | | |            (234), (236), (243), (244), (245), (267), (268),
% 166.85/25.00  | | | | | | | | | | | | | | | | |            (269), (270), (271), (272), (273), (275), (276),
% 166.85/25.00  | | | | | | | | | | | | | | | | |            (278), (282), (283), (284), (332), (333), (335),
% 166.85/25.00  | | | | | | | | | | | | | | | | |            (347), (348), (351), (368), (371), (386), (389),
% 166.85/25.00  | | | | | | | | | | | | | | | | |            (390), (395), (411), (413), (425), (429), (435),
% 166.85/25.00  | | | | | | | | | | | | | | | | |            (439), (441), (448), (460), (465), (468), (531),
% 166.85/25.00  | | | | | | | | | | | | | | | | |            (533), (534), (535), (539), (540), (541), (542),
% 166.85/25.00  | | | | | | | | | | | | | | | | |            (555), (556), (558), (560), (566), (567), (572),
% 166.85/25.00  | | | | | | | | | | | | | | | | |            (630), (770), (3004), (3181), (3182), (3185),
% 166.85/25.00  | | | | | | | | | | | | | | | | |            (3187), (3189), (3207), (3209), (3210), (3219),
% 166.85/25.00  | | | | | | | | | | | | | | | | |            (3220), (3221), (3222), (3223), (3224), (3225),
% 166.85/25.00  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 166.85/25.00  | | | | | | | | | | | | | | | | |            #230.
% 166.85/25.00  | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | Case 2:
% 166.85/25.00  | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | |   (3226)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (37), (51), (52), (179),
% 166.85/25.00  | | | | | | | | | | | | | | | | |            (180), (187), (188), (192), (214), (239), (243),
% 166.85/25.00  | | | | | | | | | | | | | | | | |            (268), (284), (285), (293), (332), (333), (335),
% 166.85/25.00  | | | | | | | | | | | | | | | | |            (347), (348), (351), (368), (371), (386), (389),
% 166.85/25.00  | | | | | | | | | | | | | | | | |            (395), (396), (407), (411), (413), (425), (456),
% 166.85/25.00  | | | | | | | | | | | | | | | | |            (531), (535), (536), (539), (540), (541), (542),
% 166.85/25.00  | | | | | | | | | | | | | | | | |            (544), (552), (555), (558), (560), (567), (629),
% 166.85/25.00  | | | | | | | | | | | | | | | | |            (770), (3009), (3174), (3176), (3185), (3186),
% 166.85/25.00  | | | | | | | | | | | | | | | | |            (3187), (3209), (3210), (3226), (function-axioms)
% 166.85/25.00  | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #479.
% 166.85/25.00  | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | End of split
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | Case 2:
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | |   (3227)  all_56_10 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (3227) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | |   (3228)  all_52_13 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | REDUCE: (3188), (3228) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | |   (3229)  $false
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | CLOSE: (3229) is inconsistent.
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | End of split
% 166.85/25.00  | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | End of split
% 166.85/25.00  | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | End of split
% 166.85/25.00  | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | Case 2:
% 166.85/25.00  | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | |   (3230)   ~ (all_56_15 = e0)
% 166.85/25.00  | | | | | | | | | | | | |   (3231)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 166.85/25.00  | | | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 166.85/25.00  | | | | | | | | | | | | |             e0)
% 166.85/25.00  | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | ALPHA: (3231) implies:
% 166.85/25.00  | | | | | | | | | | | | |   (3232)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 166.85/25.00  | | | | | | | | | | | | |   (3233)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 166.85/25.00  | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | REDUCE: (533), (3230) imply:
% 166.85/25.00  | | | | | | | | | | | | |   (3234)   ~ (all_14_2 = e0)
% 166.85/25.00  | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | BETA: splitting (238) gives:
% 166.85/25.00  | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | Case 1:
% 166.85/25.00  | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | |   (3235)  all_54_10 = e0
% 166.85/25.00  | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | REF_CLOSE: (530), (3004), (3235) are inconsistent by
% 166.85/25.00  | | | | | | | | | | | | | |            sub-proof #909.
% 166.85/25.00  | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | Case 2:
% 166.85/25.00  | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | |   (3236)   ~ (all_54_10 = e0)
% 166.85/25.00  | | | | | | | | | | | | | |   (3237)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 166.85/25.00  | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 166.85/25.00  | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | Case 1:
% 166.85/25.00  | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | |   (3238)  all_54_5 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | REF_CLOSE: (531), (3176), (3238) are inconsistent by
% 166.85/25.00  | | | | | | | | | | | | | | |            sub-proof #983.
% 166.85/25.00  | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | Case 2:
% 166.85/25.00  | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | |   (3239)   ~ (all_54_5 = e0)
% 166.85/25.00  | | | | | | | | | | | | | | |   (3240)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 166.85/25.00  | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 166.85/25.00  | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | Case 1:
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | |   (3241)  all_56_2 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (3241) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | |   (3242)  all_52_1 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (3242) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | |   (3243)  all_58_17 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | REDUCE: (193), (3242) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | |   (3244)   ~ (all_52_2 = e0)
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | SIMP: (3244) implies:
% 166.85/25.00  | | | | | | | | | | | | | | | |   (3245)   ~ (all_52_2 = e0)
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | REDUCE: (192), (3242) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | |   (3246)   ~ (all_52_3 = e0)
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | SIMP: (3246) implies:
% 166.85/25.00  | | | | | | | | | | | | | | | |   (3247)   ~ (all_52_3 = e0)
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | REDUCE: (190), (3242) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | |   (3248)   ~ (all_52_9 = e0)
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | SIMP: (3248) implies:
% 166.85/25.00  | | | | | | | | | | | | | | | |   (3249)   ~ (all_52_9 = e0)
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | REDUCE: (189), (3242) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | |   (3250)   ~ (all_52_13 = e0)
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | SIMP: (3250) implies:
% 166.85/25.00  | | | | | | | | | | | | | | | |   (3251)   ~ (all_52_13 = e0)
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | REDUCE: (544), (3242) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | |   (3252)   ~ (all_6_2 = e0)
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | SIMP: (3252) implies:
% 166.85/25.00  | | | | | | | | | | | | | | | |   (3253)   ~ (all_6_2 = e0)
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 166.85/25.00  | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | Case 1:
% 166.85/25.00  | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | |   (3254)  all_56_6 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (3254) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | | |   (3255)  all_52_2 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | REDUCE: (3245), (3255) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | | |   (3256)  $false
% 166.85/25.00  | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | CLOSE: (3256) is inconsistent.
% 166.85/25.00  | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | Case 2:
% 166.85/25.00  | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | |   (3257)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 166.85/25.00  | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | Case 1:
% 166.85/25.00  | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | |   (3258)  all_56_4 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (3258) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | | | |   (3259)  all_52_8 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (3259) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | | | |   (3260)  all_58_24 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | REDUCE: (165), (3259) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | | | |   (3261)   ~ (all_52_11 = e0)
% 166.85/25.00  | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | SIMP: (3261) implies:
% 166.85/25.00  | | | | | | | | | | | | | | | | | |   (3262)   ~ (all_52_11 = e0)
% 166.85/25.00  | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | REDUCE: (164), (3259) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | | | |   (3263)   ~ (all_52_12 = e0)
% 166.85/25.00  | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | SIMP: (3263) implies:
% 166.85/25.00  | | | | | | | | | | | | | | | | | |   (3264)   ~ (all_52_12 = e0)
% 166.85/25.00  | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | REDUCE: (621), (3259) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | | | |   (3265)  op(e3, e0) = all_58_2
% 166.85/25.00  | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (62), (154), (156),
% 166.85/25.00  | | | | | | | | | | | | | | | | | |            (161), (162), (169), (184), (185), (188), (212),
% 166.85/25.00  | | | | | | | | | | | | | | | | | |            (236), (248), (269), (270), (271), (272), (278),
% 166.85/25.00  | | | | | | | | | | | | | | | | | |            (293), (331), (332), (334), (335), (347), (348),
% 166.85/25.00  | | | | | | | | | | | | | | | | | |            (351), (356), (371), (374), (377), (386), (390),
% 166.85/25.00  | | | | | | | | | | | | | | | | | |            (407), (431), (435), (439), (441), (465), (532),
% 166.85/25.00  | | | | | | | | | | | | | | | | | |            (533), (534), (536), (537), (538), (539), (540),
% 166.85/25.00  | | | | | | | | | | | | | | | | | |            (542), (546), (548), (554), (556), (557), (564),
% 166.85/25.00  | | | | | | | | | | | | | | | | | |            (572), (575), (578), (3007), (3181), (3232),
% 166.85/25.00  | | | | | | | | | | | | | | | | | |            (3233), (3243), (3247), (3249), (3251), (3253),
% 166.85/25.00  | | | | | | | | | | | | | | | | | |            (3258), (3260), (3262), (3264), (3265),
% 166.85/25.00  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 166.85/25.00  | | | | | | | | | | | | | | | | | |            #227.
% 166.85/25.00  | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | Case 2:
% 166.85/25.00  | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | |   (3266)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | BETA: splitting (3266) gives:
% 166.85/25.00  | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | |   (3267)  all_56_5 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (3267) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | | | | |   (3268)  all_52_9 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | REDUCE: (3249), (3268) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | | | | |   (3269)  $false
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | CLOSE: (3269) is inconsistent.
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | |   (3270)  all_56_8 = e0 | all_56_14 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | BETA: splitting (3270) gives:
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | |   (3271)  all_56_8 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (3271) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | |   (3272)  all_10_2 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | | REDUCE: (3004), (3272) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | |   (3273)  $false
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | | CLOSE: (3273) is inconsistent.
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | |   (3274)  all_56_14 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (3274) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | |   (3275)  all_52_11 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | | SIMP: (3275) implies:
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | |   (3276)  all_52_11 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (3276) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | |   (3277)   ~ (all_52_8 = e0)
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | | REDUCE: (572), (3276) imply:
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | |   (3278)   ~ (all_10_2 = e0)
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | | |   (3279)  all_56_1 = e0
% 166.85/25.00  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (36), (37), (179), (180),
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | |            (185), (187), (188), (203), (204), (213), (214),
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | |            (236), (248), (267), (269), (278), (284), (291),
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | |            (292), (293), (330), (331), (333), (335), (351),
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | |            (356), (368), (371), (374), (386), (390), (396),
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | |            (407), (413), (425), (429), (441), (465), (531),
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | |            (532), (534), (535), (536), (537), (538), (540),
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | |            (541), (542), (546), (548), (550), (554), (558),
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | |            (560), (566), (578), (621), (624), (630), (631),
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | |            (770), (3004), (3240), (3241), (3243), (3247),
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | |            (3257), (3279), (function-axioms) are inconsistent
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #221.
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | |   (3280)   ~ (all_56_1 = e0)
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | | REDUCE: (396), (3280) imply:
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | |   (3281)   ~ (all_52_4 = e0)
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (52), (156), (164),
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | |            (172), (178), (180), (185), (187), (188), (213),
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | |            (246), (247), (267), (268), (270), (279), (290),
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | |            (291), (331), (333), (335), (348), (351), (356),
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | |            (368), (371), (374), (386), (390), (396), (407),
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | |            (413), (425), (429), (439), (441), (446), (451),
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | |            (511), (530), (533), (534), (536), (537), (538),
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | |            (540), (541), (542), (546), (550), (552), (554),
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | |            (558), (560), (562), (569), (574), (576), (577),
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | |            (620), (676), (3004), (3170), (3181), (3237),
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | |            (3241), (3243), (3247), (3253), (3257), (3274),
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | |            (3277), (3281), (function-axioms) are inconsistent
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #469.
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | End of split
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | End of split
% 166.85/25.01  | | | | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | | | End of split
% 166.85/25.01  | | | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | | End of split
% 166.85/25.01  | | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | End of split
% 166.85/25.01  | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | Case 2:
% 166.85/25.01  | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | |   (3282)   ~ (all_56_2 = e0)
% 166.85/25.01  | | | | | | | | | | | | | | | |   (3283)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 166.85/25.01  | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (41), (42),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (51), (52), (61), (154), (156), (157), (161),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (162), (164), (165), (167), (169), (170), (172),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (177), (178), (179), (180), (183), (184), (185),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (187), (188), (189), (190), (192), (193), (203),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (204), (207), (208), (209), (211), (212), (213),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (214), (233), (234), (235), (236), (237), (239),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (240), (241), (242), (243), (244), (245), (246),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (247), (248), (267), (268), (269), (270), (271),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (272), (273), (274), (275), (276), (277), (278),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (279), (280), (281), (282), (284), (285), (286),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (287), (289), (290), (291), (292), (293), (294),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (295), (330), (331), (332), (333), (334), (335),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (341), (347), (348), (351), (356), (358), (368),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (371), (374), (377), (386), (389), (390), (395),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (396), (407), (411), (413), (425), (429), (431),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (435), (439), (441), (446), (448), (451), (453),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (455), (456), (460), (462), (463), (465), (466),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (468), (521), (530), (531), (532), (533), (534),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (540), (541),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (542), (544), (546), (548), (550), (552), (554),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (555), (556), (558), (560), (562), (564), (566),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (567), (568), (569), (570), (572), (574), (576),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (577), (578), (619), (620), (623), (625), (626),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (628), (629), (630), (631), (632), (633), (684),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (687), (770), (2998), (3000), (3003), (3004),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (3009), (3176), (3179), (3232), (3233), (3234),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (3237), (3240), (3282), (3283), (function-axioms)
% 166.85/25.01  | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #179.
% 166.85/25.01  | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | End of split
% 166.85/25.01  | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | End of split
% 166.85/25.01  | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | End of split
% 166.85/25.01  | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | End of split
% 166.85/25.01  | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | Case 2:
% 166.85/25.01  | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | |   (3284)  all_48_2 = e1
% 166.85/25.01  | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | COMBINE_EQS: (478), (3284) imply:
% 166.85/25.01  | | | | | | | | | | | |   (3285)  all_14_2 = e1
% 166.85/25.01  | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | SIMP: (3285) implies:
% 166.85/25.01  | | | | | | | | | | | |   (3286)  all_14_2 = e1
% 166.85/25.01  | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | COMBINE_EQS: (525), (3286) imply:
% 166.85/25.01  | | | | | | | | | | | |   (3287)  all_50_2 = e1
% 166.85/25.01  | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | COMBINE_EQS: (533), (3286) imply:
% 166.85/25.01  | | | | | | | | | | | |   (3288)  all_56_15 = e1
% 166.85/25.01  | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | COMBINE_EQS: (537), (3286) imply:
% 166.85/25.01  | | | | | | | | | | | |   (3289)  all_58_31 = e1
% 166.85/25.01  | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | REDUCE: (557), (3286) imply:
% 166.85/25.01  | | | | | | | | | | | |   (3290)   ~ (all_52_3 = e1)
% 166.85/25.01  | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | REDUCE: (568), (3286) imply:
% 166.85/25.01  | | | | | | | | | | | |   (3291)   ~ (all_52_7 = e1)
% 166.85/25.01  | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | REDUCE: (576), (3286) imply:
% 166.85/25.01  | | | | | | | | | | | |   (3292)   ~ (all_52_12 = e1)
% 166.85/25.01  | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | REDUCE: (577), (3286) imply:
% 166.85/25.01  | | | | | | | | | | | |   (3293)   ~ (all_52_13 = e1)
% 166.85/25.01  | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | REDUCE: (578), (3286) imply:
% 166.85/25.01  | | | | | | | | | | | |   (3294)   ~ (all_52_14 = e1)
% 166.85/25.01  | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | REDUCE: (63), (3286) imply:
% 166.85/25.01  | | | | | | | | | | | |   (3295)  op(all_14_1, e1) = all_14_0
% 166.85/25.01  | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | REDUCE: (62), (3286) imply:
% 166.85/25.01  | | | | | | | | | | | |   (3296)  op(e1, e0) = all_14_1
% 166.85/25.01  | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | REDUCE: (634), (3286) imply:
% 166.85/25.01  | | | | | | | | | | | |   (3297)  op(e0, e1) = all_58_15
% 166.85/25.01  | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 166.85/25.01  | | | | | | | | | | | |              all_58_15, e1, e0, simplifying with (201), (3297)
% 166.85/25.01  | | | | | | | | | | | |              gives:
% 166.85/25.01  | | | | | | | | | | | |   (3298)  all_58_15 = all_52_11
% 166.85/25.01  | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 166.85/25.01  | | | | | | | | | | | |              all_14_1, e0, e1, simplifying with (204), (3296)
% 166.85/25.01  | | | | | | | | | | | |              gives:
% 166.85/25.01  | | | | | | | | | | | |   (3299)  all_52_14 = all_14_1
% 166.85/25.01  | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | COMBINE_EQS: (463), (3299) imply:
% 166.85/25.01  | | | | | | | | | | | |   (3300)  all_54_11 = all_14_1
% 166.85/25.01  | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | COMBINE_EQS: (441), (3299) imply:
% 166.85/25.01  | | | | | | | | | | | |   (3301)  all_56_11 = all_14_1
% 166.85/25.01  | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | COMBINE_EQS: (356), (3299) imply:
% 166.85/25.01  | | | | | | | | | | | |   (3302)  all_58_30 = all_14_1
% 166.85/25.01  | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | REDUCE: (185), (3299) imply:
% 166.85/25.01  | | | | | | | | | | | |   (3303)   ~ (all_52_2 = all_14_1)
% 166.85/25.01  | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | REDUCE: (170), (3299) imply:
% 166.85/25.01  | | | | | | | | | | | |   (3304)   ~ (all_52_6 = all_14_1)
% 166.85/25.01  | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | REDUCE: (156), (3299) imply:
% 166.85/25.01  | | | | | | | | | | | |   (3305)   ~ (all_52_12 = all_14_1)
% 166.85/25.01  | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | REDUCE: (154), (3299) imply:
% 166.85/25.01  | | | | | | | | | | | |   (3306)   ~ (all_52_13 = all_14_1)
% 166.85/25.01  | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | REDUCE: (574), (3299) imply:
% 166.85/25.01  | | | | | | | | | | | |   (3307)   ~ (all_14_1 = all_10_2)
% 166.85/25.01  | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | BETA: splitting (150) gives:
% 166.85/25.01  | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | Case 1:
% 166.85/25.01  | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | |   (3308)   ~ (all_50_2 = e1)
% 166.85/25.01  | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | REDUCE: (3287), (3308) imply:
% 166.85/25.01  | | | | | | | | | | | | |   (3309)  $false
% 166.85/25.01  | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | CLOSE: (3309) is inconsistent.
% 166.85/25.01  | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | Case 2:
% 166.85/25.01  | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | |   (3310)   ~ (all_50_0 = e2) |  ~ (all_50_1 = e3)
% 166.85/25.01  | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | BETA: splitting (238) gives:
% 166.85/25.01  | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | Case 1:
% 166.85/25.01  | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | |   (3311)  all_54_10 = e0
% 166.85/25.01  | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | COMBINE_EQS: (530), (3311) imply:
% 166.85/25.01  | | | | | | | | | | | | | |   (3312)  all_10_2 = e0
% 166.85/25.01  | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | REDUCE: (3004), (3312) imply:
% 166.85/25.01  | | | | | | | | | | | | | |   (3313)  $false
% 166.85/25.01  | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | CLOSE: (3313) is inconsistent.
% 166.85/25.01  | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | Case 2:
% 166.85/25.01  | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | |   (3314)   ~ (all_54_10 = e0)
% 166.85/25.01  | | | | | | | | | | | | | |   (3315)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 166.85/25.01  | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 166.85/25.01  | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | Case 1:
% 166.85/25.01  | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | |   (3316)  all_54_5 = e0
% 166.85/25.01  | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | REF_CLOSE: (531), (3176), (3316) are inconsistent by
% 166.85/25.01  | | | | | | | | | | | | | | |            sub-proof #983.
% 166.85/25.01  | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | Case 2:
% 166.85/25.01  | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | |   (3317)   ~ (all_54_5 = e0)
% 166.85/25.01  | | | | | | | | | | | | | | |   (3318)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 166.85/25.01  | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 166.85/25.01  | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | Case 1:
% 166.85/25.01  | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | |   (3319)  all_54_13 = e0
% 166.85/25.01  | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (3319) imply:
% 166.85/25.01  | | | | | | | | | | | | | | | |   (3320)  all_52_7 = e0
% 166.85/25.01  | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | SIMP: (3320) implies:
% 166.85/25.01  | | | | | | | | | | | | | | | |   (3321)  all_52_7 = e0
% 166.85/25.01  | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (3321) imply:
% 166.85/25.01  | | | | | | | | | | | | | | | |   (3322)  all_56_13 = e0
% 166.85/25.01  | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | REDUCE: (179), (3321) imply:
% 166.85/25.01  | | | | | | | | | | | | | | | |   (3323)   ~ (all_52_4 = e0)
% 166.85/25.01  | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | REDUCE: (172), (3321) imply:
% 166.85/25.01  | | | | | | | | | | | | | | | |   (3324)   ~ (all_52_6 = e0)
% 166.85/25.01  | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | REDUCE: (169), (3321) imply:
% 166.85/25.01  | | | | | | | | | | | | | | | |   (3325)   ~ (all_52_11 = e0)
% 166.85/25.01  | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | SIMP: (3325) implies:
% 166.85/25.01  | | | | | | | | | | | | | | | |   (3326)   ~ (all_52_11 = e0)
% 166.85/25.01  | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | REDUCE: (562), (3321) imply:
% 166.85/25.01  | | | | | | | | | | | | | | | |   (3327)   ~ (all_4_2 = e0)
% 166.85/25.01  | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (51), (52), (157), (162), (164),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (165), (167), (184), (187), (188), (189), (190),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (192), (193), (201), (213), (237), (239), (245),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (246), (266), (271), (272), (273), (277), (281),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (285), (286), (289), (290), (291), (292), (331),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (332), (335), (347), (348), (351), (371), (374),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (377), (389), (390), (395), (396), (407), (411),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (413), (425), (429), (431), (435), (439), (451),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (456), (460), (530), (534), (535), (536), (538),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (539), (542), (544), (546), (552), (554), (555),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (556), (567), (569), (570), (620), (629), (692),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (769), (3004), (3007), (3009), (3174), (3176),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (3288), (3289), (3290), (3291), (3292), (3293),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (3295), (3300), (3301), (3302), (3303), (3304),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (3305), (3306), (3307), (3310), (3315), (3321),
% 166.85/25.01  | | | | | | | | | | | | | | | |            (3322), (3323), (3324), (3326), (function-axioms)
% 166.85/25.01  | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #175.
% 166.85/25.01  | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | Case 2:
% 166.85/25.01  | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | |   (3328)   ~ (all_54_13 = e0)
% 166.85/25.01  | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | REDUCE: (466), (3328) imply:
% 166.85/25.01  | | | | | | | | | | | | | | | |   (3329)   ~ (all_52_7 = e0)
% 166.85/25.01  | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 166.85/25.01  | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | Case 1:
% 166.85/25.01  | | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | |   (3330)  all_56_1 = e0
% 166.85/25.01  | | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (37), (157),
% 166.85/25.01  | | | | | | | | | | | | | | | | |            (162), (177), (179), (180), (185), (187), (188),
% 166.85/25.01  | | | | | | | | | | | | | | | | |            (190), (192), (201), (203), (204), (213), (214),
% 166.85/25.01  | | | | | | | | | | | | | | | | |            (236), (248), (266), (267), (269), (273), (278),
% 166.85/25.01  | | | | | | | | | | | | | | | | |            (281), (282), (284), (291), (292), (293), (330),
% 166.85/25.01  | | | | | | | | | | | | | | | | |            (331), (332), (333), (335), (347), (351), (356),
% 166.85/25.01  | | | | | | | | | | | | | | | | |            (368), (371), (374), (377), (386), (389), (390),
% 166.85/25.01  | | | | | | | | | | | | | | | | |            (395), (396), (407), (411), (413), (425), (429),
% 166.85/25.01  | | | | | | | | | | | | | | | | |            (431), (439), (441), (465), (531), (532), (534),
% 166.85/25.01  | | | | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (540), (541),
% 166.85/25.01  | | | | | | | | | | | | | | | | |            (542), (544), (546), (548), (554), (555), (558),
% 166.85/25.01  | | | | | | | | | | | | | | | | |            (560), (566), (569), (578), (621), (624), (630),
% 166.85/25.01  | | | | | | | | | | | | | | | | |            (631), (770), (3004), (3007), (3288), (3289),
% 166.85/25.01  | | | | | | | | | | | | | | | | |            (3292), (3293), (3295), (3301), (3302), (3303),
% 166.85/25.01  | | | | | | | | | | | | | | | | |            (3304), (3306), (3307), (3318), (3330),
% 166.85/25.01  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 166.85/25.01  | | | | | | | | | | | | | | | | |            #183.
% 166.85/25.01  | | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | Case 2:
% 166.85/25.01  | | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | |   (3331)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 166.85/25.01  | | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | | BETA: splitting (3331) gives:
% 166.85/25.01  | | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | | Case 1:
% 166.85/25.01  | | | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | | |   (3332)  all_56_3 = e0
% 166.85/25.01  | | | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (3332) imply:
% 166.85/25.01  | | | | | | | | | | | | | | | | | |   (3333)  all_4_2 = e0
% 166.85/25.01  | | | | | | | | | | | | | | | | | | 
% 166.85/25.01  | | | | | | | | | | | | | | | | | | REDUCE: (3176), (3333) imply:
% 166.85/25.02  | | | | | | | | | | | | | | | | | |   (3334)  $false
% 166.85/25.02  | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | CLOSE: (3334) is inconsistent.
% 166.85/25.02  | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | Case 2:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | |   (3335)  all_56_7 = e0 | all_56_13 = e0
% 166.85/25.02  | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | BETA: splitting (3335) gives:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | |   (3336)  all_56_7 = e0
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (3336) imply:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | |   (3337)  all_52_6 = e0
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (368), (3337) imply:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | |   (3338)  all_58_22 = e0
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | REDUCE: (180), (3337) imply:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | |   (3339)   ~ (all_52_4 = e0)
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | REDUCE: (172), (3337) imply:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | |   (3340)   ~ (all_52_7 = e0)
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | REDUCE: (3304), (3337) imply:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | |   (3341)   ~ (all_14_1 = e0)
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | SIMP: (3341) implies:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | |   (3342)   ~ (all_14_1 = e0)
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | REDUCE: (567), (3337) imply:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | |   (3343)   ~ (all_10_2 = e0)
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | REDUCE: (560), (3337) imply:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | |   (3344)   ~ (all_4_2 = e0)
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | |   (3345)  all_54_11 = e0
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3300), (3345) imply:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | |   (3346)  all_14_1 = e0
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | REDUCE: (3342), (3346) imply:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | |   (3347)  $false
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | CLOSE: (3347) is inconsistent.
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | |   (3348)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |   (3349)  all_54_12 = e0
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (465), (3349) imply:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |   (3350)  all_52_3 = e0
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (3350) imply:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |   (3351)  all_56_12 = e0
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (3350) imply:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |   (3352)   ~ (all_52_1 = e0)
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | REDUCE: (188), (3350) imply:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |   (3353)   ~ (all_52_2 = e0)
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | REDUCE: (183), (3350) imply:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |   (3354)   ~ (all_52_11 = e0)
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | SIMP: (3354) implies:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |   (3355)   ~ (all_52_11 = e0)
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (3350) imply:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |   (3356)   ~ (all_6_2 = e0)
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | SIMP: (3356) implies:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |   (3357)   ~ (all_6_2 = e0)
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | REDUCE: (3290), (3350) imply:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |   (3358)   ~ (e1 = e0)
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (37), (42), (154), (156),
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |            (157), (162), (164), (165), (167), (169), (170),
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |            (172), (177), (178), (179), (180), (185), (187),
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |            (189), (190), (193), (207), (211), (214), (234),
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |            (235), (240), (244), (247), (248), (270), (273),
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |            (274), (277), (281), (282), (284), (285), (290),
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |            (291), (293), (294), (295), (331), (332), (333),
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |            (347), (348), (356), (368), (374), (377), (386),
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |            (390), (395), (396), (411), (413), (425), (429),
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |            (431), (435), (439), (441), (446), (448), (455),
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |            (466), (468), (521), (531), (532), (533), (534),
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (540), (541),
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |            (544), (546), (550), (552), (554), (555), (556),
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |            (558), (560), (562), (564), (566), (567), (568),
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |            (570), (572), (574), (576), (577), (578), (684),
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |            (770), (2998), (3003), (3004), (3176), (3318),
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |            (3329), (3351), (3352), (3353), (3355), (3357),
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |            #205.
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |   (3359)   ~ (all_54_12 = e0)
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |   (3360)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | REDUCE: (465), (3359) imply:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | |   (3361)   ~ (all_52_3 = e0)
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (266) gives:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | |   (3362)  all_56_15 = e0
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3288), (3362) are inconsistent by sub-proof
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | |            #657.
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | | 
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 166.85/25.02  | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | |   (3363)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | |             e0)
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3363) implies:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | |   (3364)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3364) gives:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | |   (3365)  all_56_12 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (3361), (3365) are inconsistent by
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #919.
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | |   (3366)  all_56_13 = e0 | all_56_14 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3366) gives:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | |   (3367)  all_56_13 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (348), (3329), (3367) are inconsistent by
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #942.
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | |   (3368)  all_56_14 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (3368) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | |   (3369)  all_52_11 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3369) implies:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | |   (3370)  all_52_11 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (3370) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | |   (3371)  all_58_27 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (3370) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | |   (3372)   ~ (all_52_8 = e0)
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (3370) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | |   (3373)   ~ (all_52_9 = e0)
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | |   (3374)  all_56_0 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (3374) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | |   (3375)  all_6_2 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (3375) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | |   (3376)  all_58_16 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (3375) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | |   (3377)   ~ (all_52_1 = e0)
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3378)  all_56_2 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (3378) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3379)  all_52_1 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3377), (3379) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3380)  $false
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3380) is inconsistent.
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3381)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3381) gives:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3382)  all_56_3 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (3382) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3383)  all_4_2 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3176), (3383) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3384)  $false
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3384) is inconsistent.
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3385)  all_56_5 = e0 | all_56_10 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3385) gives:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3386)  all_56_5 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (3386) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3387)  all_52_9 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3373), (3387) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3388)  $false
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3388) is inconsistent.
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3389)  all_56_10 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (3389) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3390)  all_52_13 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3390) implies:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3391)  all_52_13 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (3391) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3392)  all_58_29 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (3391) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3393)   ~ (all_52_12 = e0)
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3293), (3391) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3394)   ~ (e1 = e0)
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3395)  all_58_31 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3289), (3395) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3396)  e1 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (3396) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3397)  $false
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3397) is inconsistent.
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3398)   ~ (all_58_31 = e0)
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3399)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3399) gives:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3400)  all_58_30 = e1
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3302), (3400) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3401)  all_14_1 = e1
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3007), (3401) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3402)  $false
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3402) is inconsistent.
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3403)  all_58_28 = e3 | all_58_29 = e2
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3403) gives:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3404)  all_58_29 = e2
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3392), (3404) are inconsistent by sub-proof
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #889.
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3405)  all_58_28 = e3
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (3405) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3406)  all_52_12 = e3
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (3406) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3407)   ~ (all_52_4 = e3)
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3408)  all_58_23 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (3408) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3409)  all_52_7 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3329), (3409) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3410)  $false
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3410) is inconsistent.
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3411)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3411) gives:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3412)  all_58_22 = e1
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3338), (3412) are inconsistent by sub-proof
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #923.
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3413)   ~ (all_58_22 = e1)
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3414)  all_58_20 = e3 | all_58_21 = e2
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3414) gives:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3415)  all_58_21 = e2
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (386), (3415) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3416)  all_4_2 = e2
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (555), (3416) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3417)   ~ (all_52_1 = e2)
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3418)  all_54_1 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (3339), (3418) are inconsistent by
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #866.
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3419)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (279) gives:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3420)  all_56_4 = e2
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (3420) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3421)  all_52_8 = e2
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3421) implies:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3422)  all_52_8 = e2
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (569), (3422) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3423)   ~ (all_10_2 = e2)
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3423) implies:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3424)   ~ (all_10_2 = e2)
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (213), (3422) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3425)  op(e3, e1) = e2
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (286) gives:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3426)  all_56_1 = e1
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (3426) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3427)  all_52_4 = e1
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3427) implies:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3428)  all_52_4 = e1
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (620), (3428) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3429)  op(e3, e1) = all_58_1
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3430)  all_58_19 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (542), (3361), (3430) are inconsistent by
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #174.
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3431)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3431) gives:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3432)  all_58_18 = e1
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (3432) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3433)  all_52_2 = e1
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3433) implies:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3434)  all_52_2 = e1
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (556), (3434) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3435)   ~ (all_10_2 = e1)
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (52), (511), (530), (676), (3170), (3315), (3424),
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3425), (3429), (3435), (function-axioms) are
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #472.
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3436)  all_58_16 = e3 | all_58_17 = e2
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (389), (3376), (3417), (3436) are
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #608.
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3437)   ~ (all_56_1 = e1)
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (396), (3437) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3438)   ~ (all_52_4 = e1)
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (386), (446), (541), (558), (3338), (3407),
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3411), (3419), (3438) are inconsistent by
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #606.
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3439)   ~ (all_56_4 = e2)
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (429), (3439) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3440)   ~ (all_52_8 = e2)
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (164), (177), (178), (246), (386), (446),
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (451), (538), (541), (558), (3338), (3372),
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3392), (3403), (3411), (3419), (3440) are
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #173.
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3441)  all_58_20 = e3
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (3441) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3442)  all_52_4 = e3
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3407), (3442) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3443)  $false
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3443) is inconsistent.
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | |   (3444)   ~ (all_56_0 = e0)
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (3444) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | |   (3445)   ~ (all_6_2 = e0)
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3446)  all_56_0 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (3446) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3447)  all_6_2 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3445), (3447) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3448)  $false
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3448) is inconsistent.
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3449)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3449) gives:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3450)  all_56_1 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (3450) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3451)  all_52_4 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3339), (3451) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3452)  $false
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3452) is inconsistent.
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3453)  all_56_4 = e0 | all_56_9 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3453) gives:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3454)  all_56_4 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (3454) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3455)  all_52_8 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3372), (3455) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3456)  $false
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3456) is inconsistent.
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3457)  all_56_9 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (3457) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3458)  all_52_12 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3458) implies:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3459)  all_52_12 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (3459) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3460)  all_58_28 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (3459) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3461)   ~ (all_52_13 = e0)
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3461) implies:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3462)   ~ (all_52_13 = e0)
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (3459) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3463)   ~ (all_6_2 = e0)
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3292), (3459) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3464)   ~ (e1 = e0)
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3465)  all_56_2 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (3465) imply:
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3466)  all_52_1 = e0
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (3466) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3467)  all_58_17 = e0
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (193), (3466) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3468)   ~ (all_52_2 = e0)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3468) implies:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3469)   ~ (all_52_2 = e0)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (3466) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3470)   ~ (all_52_3 = e0)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (3466) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3471)   ~ (all_52_9 = e0)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3472)  all_58_31 = e0
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3289), (3472) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3473)  e1 = e0
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (3473) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3474)  $false
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3474) is inconsistent.
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3475)   ~ (all_58_31 = e0)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3476)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3476) gives:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3477)  all_58_30 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3302), (3477) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3478)  all_14_1 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3007), (3478) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3479)  $false
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3479) is inconsistent.
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3480)   ~ (all_58_30 = e1)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3481)  all_58_28 = e3 | all_58_29 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3481) gives:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3482)  all_58_29 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (3482) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3483)  all_52_13 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (3483) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3484)  all_56_10 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (161), (3483) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3485)   ~ (all_52_9 = e2)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3306), (3483) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3486)   ~ (all_14_1 = e2)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3486) implies:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3487)   ~ (all_14_1 = e2)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (3483) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3488)   ~ (all_4_2 = e2)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3488) implies:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3489)   ~ (all_4_2 = e2)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3348) gives:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3490)  all_54_11 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3300), (3490) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3491)  all_14_1 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3007), (3491) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3492)  $false
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3492) is inconsistent.
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3493)  all_54_11 = e3 | all_54_11 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3493) gives:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3494)  all_54_11 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3300), (3494) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3495)  all_14_1 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3487), (3495) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3496)  $false
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3496) is inconsistent.
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3497)  all_54_11 = e3
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3300), (3497) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3498)  all_14_1 = e3
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3302), (3498) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3499)  all_58_30 = e3
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3500)  all_58_23 = e0
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (3500) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3501)  all_52_7 = e0
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3329), (3501) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3502)  $false
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3502) is inconsistent.
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3503)   ~ (all_58_23 = e0)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3504)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3504) gives:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3505)  all_58_22 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3338), (3505) are inconsistent by sub-proof
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #923.
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3506)   ~ (all_58_22 = e1)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3507)  all_58_20 = e3 | all_58_21 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3507) gives:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3508)  all_58_21 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (386), (3508) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3509)  all_4_2 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3489), (3509) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3510)  $false
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3510) is inconsistent.
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3511)  all_58_20 = e3
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3512)   ~ (all_58_21 = e2)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (3511) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3513)  all_52_4 = e3
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (3513) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3514)  all_56_1 = e3
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (178), (3513) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3515)   ~ (all_52_8 = e3)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3515) implies:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3516)   ~ (all_52_8 = e3)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (550), (3513) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3517)   ~ (all_6_2 = e3)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3517) implies:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3518)   ~ (all_6_2 = e3)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (558), (3513) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3519)   ~ (all_4_2 = e3)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3519) implies:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3520)   ~ (all_4_2 = e3)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3521)  all_58_19 = e0
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (542), (3361), (3521) are inconsistent by
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #174.
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3522)   ~ (all_58_19 = e0)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3523)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3524)  all_56_4 = e3
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (429), (3516), (3524) are inconsistent by
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #172.
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3525)  all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3525) gives:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3526)  all_56_5 = e3
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (3526) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3527)  all_52_9 = e3
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3527) implies:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3528)  all_52_9 = e3
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (377), (3528) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3529)  all_58_25 = e3
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3530)  all_58_31 = e0
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3289), (3530) are inconsistent by sub-proof
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #311.
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3531)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 |
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (287) gives:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3532)  all_56_1 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3514), (3532) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3533)  e3 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (386), (3489), (3507), (3511), (3533) are
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #171.
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3534)  all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (282) gives:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3535)  all_56_2 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3465), (3535) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3536)  e1 = e0
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (3536) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3537)  $false
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3537) is inconsistent.
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3538)  all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3538) gives:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3539)  all_56_3 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (3539) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3540)  all_4_2 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3540) implies:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3541)  all_4_2 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (386), (3541) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3542)  all_58_21 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3489), (3541) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3543)   ~ (e2 = e1)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3534) gives:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3544)  all_56_3 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3539), (3544) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3545)  e2 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3482), (3545) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3546)  all_58_29 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (3460), (3481), (3546) are inconsistent
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #509.
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3547)  all_56_7 = e2 | all_56_13 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3547) gives:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3548)  all_56_7 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3336), (3548) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3549)  e2 = e0
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (3549) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3550)  $false
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3550) is inconsistent.
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3551)  all_56_13 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (3551) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3552)  all_52_7 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3552) implies:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3553)  all_52_7 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (184), (3553) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3554)   ~ (all_52_3 = e2)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3360) gives:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3555)  all_54_12 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (465), (3290), (3555) are inconsistent by
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #812.
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3556)  all_54_12 = e3 | all_54_12 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3523) gives:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3557)  all_58_18 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (3557) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3558)  all_52_2 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3558) implies:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3559)  all_52_2 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (188), (3559) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3560)   ~ (all_52_3 = e1)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (556), (3559) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3561)   ~ (all_10_2 = e1)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3561) implies:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3562)   ~ (all_10_2 = e1)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (3559) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3563)   ~ (all_6_2 = e1)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3563) implies:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3564)   ~ (all_6_2 = e1)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3556) gives:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3565)  all_54_12 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (465), (3554), (3565) are inconsistent by
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #811.
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3566)  all_54_12 = e3
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (465), (3566) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3567)  all_52_3 = e3
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3567) implies:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3568)  all_52_3 = e3
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (3568) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3569)  all_58_19 = e3
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3570)  all_54_0 = e0
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (532), (3445), (3570) are inconsistent by
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #984.
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3571)   ~ (all_54_0 = e0)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3572)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (293) gives:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3573)  all_56_0 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (3573) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3574)  all_6_2 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3574) implies:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3575)  all_6_2 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (3575) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3576)  all_58_16 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3518), (3575) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3577)   ~ (e3 = e2)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3531) gives:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3578)  all_58_26 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (539), (3562), (3578) are inconsistent by
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #968.
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3579)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_18 = e1 & all_58_20 = e3 & all_58_24 =
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_20 = e3 & all_58_28 = e0) | (all_58_17 =
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2) | (all_58_17 = e3 & all_58_20 = e3 &
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_23 = e2 & all_58_29 = e2) | (all_58_17 =
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3) | (all_58_17 = e2 & all_58_19 = e3 &
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_20 = e2 & all_58_28 = e3) | (all_58_17 =
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_23 = e0 & all_58_29 = e0) | (all_58_17 =
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_19 = e0 & all_58_24 = e3 & all_58_28 =
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_24 = e3 & all_58_25 = e1) | (all_58_18 =
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_24 = e1 & all_58_28 = e3) | (all_58_18 =
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_27 = e0 & all_58_30 = e0) | (all_58_18 =
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_23 = e0 & all_58_28 = e3 & all_58_29 =
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 =
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 =
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_23 = e0 & all_58_25 = e2 & all_58_29 =
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) | (all_58_22 = e2 & all_58_25 = e2 &
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_27 = e1 & all_58_30 = e1) | (all_58_22 =
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2) | (all_58_22 = e1 & all_58_25 = e1 &
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_27 = e0 & all_58_30 = e0) | (all_58_22 =
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_27 = e0 & all_58_29 = e2 & all_58_30 =
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) | (all_58_23 = e0 & all_58_27 = e1 &
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_29 = e0 & all_58_30 = e1) | (all_58_23 =
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e0 & e1 = e0)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3579) gives:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3580)  all_58_21 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3542), (3580) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3581)  e2 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3482), (3581) imply:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3582)  all_58_29 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (3460), (3481), (3582) are inconsistent
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #509.
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3583)  all_58_16 = e3 | (all_58_17 = e3 & all_58_18 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_20 = e3 & all_58_24 = e1) | (all_58_17
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_28 = e0) | (all_58_17 = e3 & all_58_20 =
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & all_58_22 = e2 & all_58_25 = e2) |
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & all_58_24 = e3 & all_58_28 = e0) |
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e0) | (all_58_18 = e1 & all_58_24
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 =
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & all_58_28 = e3 & all_58_29 = e0) |
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e0) | (all_58_19 = e0 & all_58_23
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e1) | (all_58_19 = e0 & all_58_28
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e0 & e3 = e0) | (all_58_22 = e2 & all_58_23 =
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & all_58_25 = e2 & all_58_29 = e0) |
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & all_58_29 = e2 & all_58_30 = e0) |
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & e1 = e0)
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3583) gives:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3584)  all_58_16 = e3
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (9), (3338), (3504), (3511), (3542),
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3576), (3584) are inconsistent by sub-proof #170.
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3585)   ~ (all_58_16 = e3)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3586)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3586) gives:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3587)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_27 = e0 & all_58_30 = e0)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3587) gives:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3588)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_25 = e1)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3588) gives:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3589)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_25 = e2)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3589) gives:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3590)  all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_58_24 = e1
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3590) implies:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3591)  all_58_17 = e3
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3467), (3591) imply:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3592)  e3 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (3507), (3511), (3542), (3592) are
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #169.
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3593)  (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_28 = e0) | (all_58_17 = e3 & all_58_20
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_58_22 = e2 & all_58_25 = e2)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3593) gives:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3594)  all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_58_28 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3594) implies:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3595)  all_58_19 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3569), (3595) imply:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3596)  e3 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3596) implies:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3597)  e3 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (3507), (3511), (3542), (3597) are
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #169.
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3598)  all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 &
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_58_25 = e2
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (3467), (3507), (3529), (3542), (3598)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #168.
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3599)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & all_58_22 = e1 & all_58_25 = e1)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3599) gives:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3600)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_58_20 = e2 & all_58_24 = e3)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3600) gives:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3601)  all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_58_29 = e2
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3601) implies:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3602)  all_58_17 = e3
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3467), (3602) imply:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3603)  e3 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (3507), (3511), (3542), (3603) are
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #169.
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3604)  all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_58_24 = e3
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3604) implies:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3605)  all_58_18 = e3
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (407), (3467), (3518), (3523), (3605)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #461.
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3606)  (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & all_58_22 = e1 & all_58_25 = e1)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (9), (3338), (3504), (3542), (3606) are
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #595.
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3607)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & all_58_24 = e3 & all_58_28 = e0) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e0)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3607) gives:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3608)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & all_58_24 = e3 & all_58_28 = e0) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_25 = e1)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3608) gives:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3609)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & e3 = e2)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (9), (3338), (3504), (3542), (3609) are
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #594.
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3610)  (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_24 = e3 & all_58_25 = e1)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (407), (3467), (3518), (3523), (3610)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #373.
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3611)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_27 = e0 & all_58_30 = e0)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3611) gives:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3612)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_58_24 = e1 & all_58_28 = e3)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3612) gives:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3613)  all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_58_30 = e1
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3613) implies:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3614)  all_58_18 = e3
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (407), (3467), (3518), (3523), (3614)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #461.
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3615)  all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_58_28 = e3
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (3460), (3507), (3511), (3542), (3615)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #167.
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3616)  (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_27 = e0 & all_58_30 = e0)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (3338), (3499), (3507), (3511), (3529),
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3542), (3616) are inconsistent by sub-proof #165.
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3617)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3617) gives:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3618)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e0)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3618) gives:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3619)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e0 & all_58_28 = e3 & all_58_30 = e0)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3619) gives:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3620)  all_58_18 = e1 & all_58_24 = e1 & e3 = e1
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3620) implies:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3621)  e3 = e1
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (3621) imply:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3622)  $false
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3622) is inconsistent.
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3623)  (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e0 & all_58_28 = e3 & all_58_30 = e0)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3623) gives:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3624)  all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_58_29 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3624) implies:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3625)  all_58_28 = e3
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3460), (3625) imply:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3626)  e3 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3626) implies:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3627)  e3 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (3507), (3511), (3542), (3627) are
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #169.
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3628)  all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_58_30 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (3499), (3507), (3511), (3542), (3628)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #164.
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3629)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e0)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3629) gives:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3630)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_28 = e0 & all_58_30 = e1)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3630) gives:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3631)  all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_58_29 = e2
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3631) implies:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3632)  all_58_19 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3569), (3632) imply:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3633)  e3 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3633) implies:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3634)  e3 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (3507), (3511), (3542), (3634) are
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #169.
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3635)  all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_58_30 = e1
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3635) implies:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3636)  all_58_19 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3569), (3636) imply:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3637)  e3 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3637) implies:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3638)  e3 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (3507), (3511), (3542), (3638) are
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #169.
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3639)  (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e0)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3639) gives:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3640)  all_58_19 = e0 & all_58_28 = e0 & e3 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3640) implies:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3641)  all_58_19 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3569), (3641) imply:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3642)  e3 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3642) implies:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3643)  e3 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (3507), (3511), (3542), (3643) are
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #169.
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3644)  all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_58_29 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3644) implies:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3645)  all_58_29 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3646)  all_58_25 = e2
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3529), (3646) imply:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3647)  e3 = e2
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3647) implies:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3648)  e3 = e2
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3482), (3645) imply:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3649)  e2 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3649) implies:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3650)  e2 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3648), (3650) imply:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3651)  e3 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (3507), (3511), (3542), (3651) are
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #169.
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3652)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & all_58_29 = e2 & all_58_30 = e0) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & e1 = e0)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3652) gives:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3653)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & e2 = e1)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3653) gives:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3654)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & all_58_25 = e1 & all_58_29 = e2)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3654) gives:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3655)  all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_58_30 = e1
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3655) implies:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3656)  all_58_25 = e2
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3657)  all_58_22 = e2
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (3338), (3507), (3511), (3529), (3542),
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3656), (3657) are inconsistent by sub-proof #166.
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3658)  all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_58_29 = e2
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3658) implies:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3659)  all_58_25 = e1
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3660)  all_58_22 = e1
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (3338), (3507), (3511), (3529), (3542),
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3659), (3660) are inconsistent by sub-proof #163.
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3661)  (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & e2 = e1)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (3338), (3499), (3507), (3511), (3529),
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3542), (3661) are inconsistent by sub-proof #162.
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3662)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3662) gives:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3663)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_29 = e0 & all_58_30 = e1)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3663) gives:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3664)  all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_58_30 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (3499), (3507), (3511), (3542), (3664)
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #161.
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3665)  all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_58_30 = e1
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3665) implies:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3666)  all_58_30 = e1
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3667)  all_58_27 = e1
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3371), (3667) imply:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3668)  e1 = e0
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (3499), (3507), (3511), (3542), (3666),
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3668) are inconsistent by sub-proof #160.
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3669)  (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3669) gives:
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3670)  all_58_23 = e0 & all_58_29 = e0 & e2 = e0
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3482), (3670) are inconsistent by sub-proof
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #303.
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3671)  all_58_27 = e0 & all_58_30 = e0 & e1 = e0
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3671) implies:
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3672)  all_58_30 = e0
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3499), (3672) imply:
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3673)  e3 = e0
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (3507), (3511), (3542), (3673) are
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #169.
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3674)   ~ (all_56_0 = e2)
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (3674) imply:
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3675)   ~ (all_6_2 = e2)
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (532), (3518), (3564), (3572), (3675) are
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #848.
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3676)  all_58_16 = e3 | all_58_17 = e2
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (407), (3467), (3518), (3676) are
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #814.
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3677)   ~ (all_56_3 = e1)
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (535), (3677) imply:
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3678)   ~ (all_4_2 = e1)
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (531), (3318), (3489), (3520), (3678) are
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #958.
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3679)   ~ (all_56_5 = e3)
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (284), (386), (431), (535), (3465),
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3484), (3489), (3507), (3511), (3520), (3679) are
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #647.
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3680)  all_58_28 = e3
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3460), (3680) are inconsistent by sub-proof
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #857.
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3681)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (37), (51), (52), (162),
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (179), (180), (187), (188), (190), (192), (214),
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (239), (243), (268), (284), (285), (289), (293),
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (332), (333), (335), (347), (348), (351), (368),
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (371), (377), (386), (389), (395), (396), (407),
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (411), (413), (425), (431), (439), (456), (531),
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (535), (536), (539), (540), (541), (542), (544),
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (552), (555), (558), (560), (564), (567), (629),
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (770), (3009), (3174), (3176), (3329), (3361),
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3445), (3462), (3681), (function-axioms) are
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #478.
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | |   (3682)  all_56_13 = e0
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (348), (3329), (3682) are inconsistent by
% 167.36/25.05  | | | | | | | | | | | | | | | | | | |            sub-proof #942.
% 167.36/25.05  | | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | Case 2:
% 167.36/25.05  | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | |   (3683)  all_24_2 = e0
% 167.36/25.05  | | | | | | | | | |   (3684)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3)
% 167.36/25.05  | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | COMBINE_EQS: (510), (3683) imply:
% 167.36/25.05  | | | | | | | | | |   (3685)  all_4_2 = e0
% 167.36/25.05  | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | SIMP: (3685) implies:
% 167.36/25.05  | | | | | | | | | |   (3686)  all_4_2 = e0
% 167.36/25.05  | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (38), (42),
% 167.36/25.05  | | | | | | | | | |            (43), (61), (62), (63), (126), (131), (154),
% 167.36/25.05  | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 167.36/25.05  | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 167.36/25.05  | | | | | | | | | |            (183), (184), (185), (187), (188), (189), (190),
% 167.36/25.05  | | | | | | | | | |            (192), (193), (202), (203), (204), (207), (208),
% 167.36/25.05  | | | | | | | | | |            (209), (212), (234), (235), (236), (237), (238),
% 167.36/25.05  | | | | | | | | | |            (239), (240), (241), (242), (244), (245), (246),
% 167.36/25.05  | | | | | | | | | |            (247), (248), (266), (267), (269), (270), (271),
% 167.36/25.05  | | | | | | | | | |            (272), (273), (275), (276), (277), (278), (279),
% 167.36/25.05  | | | | | | | | | |            (280), (283), (284), (286), (287), (288), (289),
% 167.36/25.05  | | | | | | | | | |            (290), (291), (292), (293), (294), (295), (330),
% 167.36/25.05  | | | | | | | | | |            (331), (332), (333), (334), (335), (347), (348),
% 167.36/25.05  | | | | | | | | | |            (351), (356), (368), (371), (374), (377), (386),
% 167.36/25.05  | | | | | | | | | |            (389), (390), (395), (396), (407), (411), (413),
% 167.36/25.05  | | | | | | | | | |            (425), (429), (431), (435), (439), (441), (446),
% 167.36/25.05  | | | | | | | | | |            (448), (451), (453), (455), (456), (460), (462),
% 167.36/25.05  | | | | | | | | | |            (463), (465), (466), (468), (494), (496), (530),
% 167.36/25.05  | | | | | | | | | |            (532), (533), (534), (535), (536), (537), (538),
% 167.36/25.05  | | | | | | | | | |            (539), (540), (541), (542), (544), (546), (548),
% 167.36/25.05  | | | | | | | | | |            (550), (552), (554), (555), (556), (557), (558),
% 167.36/25.05  | | | | | | | | | |            (560), (562), (564), (567), (568), (569), (570),
% 167.36/25.05  | | | | | | | | | |            (572), (574), (575), (576), (577), (578), (619),
% 167.36/25.05  | | | | | | | | | |            (621), (622), (624), (627), (630), (631), (633),
% 167.36/25.05  | | | | | | | | | |            (634), (674), (688), (740), (755), (3004), (3005),
% 167.36/25.05  | | | | | | | | | |            (3684), (3686), (function-axioms) are inconsistent
% 167.36/25.05  | | | | | | | | | |            by sub-proof #438.
% 167.36/25.05  | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | | 
% 167.36/25.05  | | | | | | | | End of split
% 167.36/25.05  | | | | | | | | 
% 167.36/25.05  | | | | | | | Case 2:
% 167.36/25.05  | | | | | | | | 
% 167.36/25.05  | | | | | | | |   (3687)  all_20_1 = e0
% 167.36/25.05  | | | | | | | | 
% 167.36/25.05  | | | | | | | | COMBINE_EQS: (682), (3687) imply:
% 167.36/25.05  | | | | | | | |   (3688)  all_10_1 = e0
% 167.36/25.05  | | | | | | | | 
% 167.36/25.05  | | | | | | | | SIMP: (3688) implies:
% 167.36/25.05  | | | | | | | |   (3689)  all_10_1 = e0
% 167.36/25.05  | | | | | | | | 
% 167.36/25.05  | | | | | | | | COMBINE_EQS: (646), (3689) imply:
% 167.36/25.05  | | | | | | | |   (3690)  all_34_1 = e0
% 167.36/25.05  | | | | | | | | 
% 167.36/25.05  | | | | | | | | REDUCE: (53), (3689) imply:
% 167.36/25.05  | | | | | | | |   (3691)  op(e0, all_10_2) = all_10_0
% 167.36/25.05  | | | | | | | | 
% 167.36/25.05  | | | | | | | | REDUCE: (52), (3689) imply:
% 167.36/25.05  | | | | | | | |   (3692)  op(all_10_2, e1) = e0
% 167.36/25.05  | | | | | | | | 
% 167.36/25.05  | | | | | | | | BETA: splitting (89) gives:
% 167.36/25.05  | | | | | | | | 
% 167.36/25.05  | | | | | | | | Case 1:
% 167.36/25.05  | | | | | | | | | 
% 167.36/25.05  | | | | | | | | |   (3693)   ~ (all_24_2 = e0)
% 167.36/25.05  | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | REDUCE: (510), (3693) imply:
% 167.36/25.05  | | | | | | | | |   (3694)   ~ (all_4_2 = e0)
% 167.36/25.05  | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | BETA: splitting (112) gives:
% 167.36/25.05  | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | Case 1:
% 167.36/25.05  | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | |   (3695)   ~ (all_34_1 = e0)
% 167.36/25.05  | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | REDUCE: (3690), (3695) imply:
% 167.36/25.05  | | | | | | | | | |   (3696)  $false
% 167.36/25.05  | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | CLOSE: (3696) is inconsistent.
% 167.36/25.05  | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | Case 2:
% 167.36/25.05  | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | |   (3697)   ~ (all_34_0 = e2) |  ~ (all_34_2 = e3)
% 167.36/25.05  | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | BETA: splitting (145) gives:
% 167.36/25.05  | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | Case 1:
% 167.36/25.05  | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | |   (3698)   ~ (all_48_2 = e1)
% 167.36/25.05  | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | REDUCE: (478), (3698) imply:
% 167.36/25.05  | | | | | | | | | | |   (3699)   ~ (all_14_2 = e1)
% 167.36/25.05  | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | BETA: splitting (266) gives:
% 167.36/25.05  | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | Case 1:
% 167.36/25.05  | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | |   (3700)  all_56_15 = e0
% 167.36/25.05  | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | COMBINE_EQS: (533), (3700) imply:
% 167.36/25.05  | | | | | | | | | | | |   (3701)  all_14_2 = e0
% 167.36/25.05  | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | SIMP: (3701) implies:
% 167.36/25.05  | | | | | | | | | | | |   (3702)  all_14_2 = e0
% 167.36/25.05  | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | REDUCE: (557), (3702) imply:
% 167.36/25.05  | | | | | | | | | | | |   (3703)   ~ (all_52_3 = e0)
% 167.36/25.05  | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | REDUCE: (568), (3702) imply:
% 167.36/25.05  | | | | | | | | | | | |   (3704)   ~ (all_52_7 = e0)
% 167.36/25.05  | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | REDUCE: (575), (3702) imply:
% 167.36/25.05  | | | | | | | | | | | |   (3705)   ~ (all_52_11 = e0)
% 167.36/25.05  | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | REDUCE: (577), (3702) imply:
% 167.36/25.05  | | | | | | | | | | | |   (3706)   ~ (all_52_13 = e0)
% 167.36/25.05  | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | REDUCE: (578), (3702) imply:
% 167.36/25.05  | | | | | | | | | | | |   (3707)   ~ (all_52_14 = e0)
% 167.36/25.05  | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | REDUCE: (63), (3702) imply:
% 167.36/25.05  | | | | | | | | | | | |   (3708)  op(all_14_1, e0) = all_14_0
% 167.36/25.05  | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | REDUCE: (62), (3702) imply:
% 167.36/25.05  | | | | | | | | | | | |   (3709)  op(e0, e0) = all_14_1
% 167.36/25.05  | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | REDUCE: (634), (3702) imply:
% 167.36/25.05  | | | | | | | | | | | |   (3710)  op(e0, e0) = all_58_15
% 167.36/25.05  | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | REDUCE: (61), (3702) imply:
% 167.36/25.05  | | | | | | | | | | | |   (3711)  op(e0, e0) = e0
% 167.36/25.05  | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (37), (41), (42),
% 167.36/25.05  | | | | | | | | | | | |            (51), (52), (156), (157), (161), (162), (164),
% 167.36/25.05  | | | | | | | | | | | |            (165), (167), (170), (172), (178), (179), (180),
% 167.36/25.05  | | | | | | | | | | | |            (185), (187), (188), (189), (190), (192), (193),
% 167.36/25.05  | | | | | | | | | | | |            (203), (206), (208), (212), (214), (234), (236),
% 167.36/25.05  | | | | | | | | | | | |            (237), (238), (243), (244), (245), (248), (267),
% 167.36/25.05  | | | | | | | | | | | |            (268), (269), (270), (271), (272), (273), (274),
% 167.36/25.05  | | | | | | | | | | | |            (275), (276), (277), (278), (281), (282), (283),
% 167.36/25.05  | | | | | | | | | | | |            (284), (285), (289), (291), (292), (293), (294),
% 167.36/25.05  | | | | | | | | | | | |            (296), (330), (332), (333), (335), (347), (348),
% 167.36/25.05  | | | | | | | | | | | |            (351), (368), (371), (377), (386), (389), (390),
% 167.36/25.05  | | | | | | | | | | | |            (395), (396), (407), (411), (413), (425), (429),
% 167.36/25.05  | | | | | | | | | | | |            (431), (435), (439), (441), (448), (460), (463),
% 167.36/25.05  | | | | | | | | | | | |            (465), (468), (530), (531), (532), (533), (534),
% 167.36/25.05  | | | | | | | | | | | |            (535), (536), (539), (540), (541), (542), (544),
% 167.36/25.05  | | | | | | | | | | | |            (546), (548), (550), (552), (554), (555), (556),
% 167.36/25.05  | | | | | | | | | | | |            (558), (560), (564), (566), (567), (569), (570),
% 167.36/25.05  | | | | | | | | | | | |            (572), (574), (619), (622), (624), (625), (629),
% 167.36/25.05  | | | | | | | | | | | |            (630), (770), (3000), (3004), (3005), (3694),
% 167.36/25.05  | | | | | | | | | | | |            (3699), (3700), (3703), (3704), (3705), (3706),
% 167.36/25.05  | | | | | | | | | | | |            (3707), (3708), (3709), (3710), (3711),
% 167.36/25.05  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 167.36/25.05  | | | | | | | | | | | |            #229.
% 167.36/25.05  | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | Case 2:
% 167.36/25.05  | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | |   (3712)   ~ (all_56_15 = e0)
% 167.36/25.05  | | | | | | | | | | | |   (3713)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 167.36/25.05  | | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 167.36/25.05  | | | | | | | | | | | |             e0)
% 167.36/25.05  | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | ALPHA: (3713) implies:
% 167.36/25.05  | | | | | | | | | | | |   (3714)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 167.36/25.05  | | | | | | | | | | | |   (3715)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 167.36/25.05  | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | REDUCE: (533), (3712) imply:
% 167.36/25.05  | | | | | | | | | | | |   (3716)   ~ (all_14_2 = e0)
% 167.36/25.05  | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | BETA: splitting (233) gives:
% 167.36/25.05  | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | Case 1:
% 167.36/25.05  | | | | | | | | | | | | | 
% 167.36/25.05  | | | | | | | | | | | | |   (3717)  all_54_15 = e0
% 167.36/25.05  | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | REF_CLOSE: (341), (3716), (3717) are inconsistent by
% 167.36/25.06  | | | | | | | | | | | | |            sub-proof #910.
% 167.36/25.06  | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | Case 2:
% 167.36/25.06  | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | |   (3718)   ~ (all_54_15 = e0)
% 167.36/25.06  | | | | | | | | | | | | |   (3719)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 167.36/25.06  | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | BETA: splitting (238) gives:
% 167.36/25.06  | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | Case 1:
% 167.36/25.06  | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | |   (3720)  all_54_10 = e0
% 167.36/25.06  | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | REF_CLOSE: (530), (3004), (3720) are inconsistent by
% 167.36/25.06  | | | | | | | | | | | | | |            sub-proof #909.
% 167.36/25.06  | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | Case 2:
% 167.36/25.06  | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | |   (3721)   ~ (all_54_10 = e0)
% 167.36/25.06  | | | | | | | | | | | | | |   (3722)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 167.36/25.06  | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 167.36/25.06  | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | Case 1:
% 167.36/25.06  | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | |   (3723)  all_54_5 = e0
% 167.36/25.06  | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | REF_CLOSE: (531), (3694), (3723) are inconsistent by
% 167.36/25.06  | | | | | | | | | | | | | | |            sub-proof #983.
% 167.36/25.06  | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | Case 2:
% 167.36/25.06  | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | |   (3724)   ~ (all_54_5 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | |   (3725)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 167.36/25.06  | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 167.36/25.06  | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | Case 1:
% 167.36/25.06  | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | |   (3726)  all_56_2 = e0
% 167.36/25.06  | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (3726) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | |   (3727)  all_52_1 = e0
% 167.36/25.06  | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (3727) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | |   (3728)  all_58_17 = e0
% 167.36/25.06  | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | REDUCE: (193), (3727) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | |   (3729)   ~ (all_52_2 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | SIMP: (3729) implies:
% 167.36/25.06  | | | | | | | | | | | | | | | |   (3730)   ~ (all_52_2 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | REDUCE: (192), (3727) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | |   (3731)   ~ (all_52_3 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | SIMP: (3731) implies:
% 167.36/25.06  | | | | | | | | | | | | | | | |   (3732)   ~ (all_52_3 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | REDUCE: (189), (3727) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | |   (3733)   ~ (all_52_13 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | SIMP: (3733) implies:
% 167.36/25.06  | | | | | | | | | | | | | | | |   (3734)   ~ (all_52_13 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | REDUCE: (544), (3727) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | |   (3735)   ~ (all_6_2 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | SIMP: (3735) implies:
% 167.36/25.06  | | | | | | | | | | | | | | | |   (3736)   ~ (all_6_2 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 167.36/25.06  | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.06  | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | |   (3737)  all_56_6 = e0
% 167.36/25.06  | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (3737) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | | |   (3738)  all_52_2 = e0
% 167.36/25.06  | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | REDUCE: (3730), (3738) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | | |   (3739)  $false
% 167.36/25.06  | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | CLOSE: (3739) is inconsistent.
% 167.36/25.06  | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.06  | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | |   (3740)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 167.36/25.06  | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 167.36/25.06  | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | |   (3741)  all_56_4 = e0
% 167.36/25.06  | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (62), (154), (156),
% 167.36/25.06  | | | | | | | | | | | | | | | | | |            (161), (162), (164), (165), (167), (169), (184),
% 167.36/25.06  | | | | | | | | | | | | | | | | | |            (185), (188), (212), (236), (248), (269), (270),
% 167.36/25.06  | | | | | | | | | | | | | | | | | |            (271), (272), (278), (293), (331), (332), (334),
% 167.36/25.06  | | | | | | | | | | | | | | | | | |            (335), (347), (348), (351), (356), (371), (374),
% 167.36/25.06  | | | | | | | | | | | | | | | | | |            (377), (386), (390), (395), (407), (429), (431),
% 167.36/25.06  | | | | | | | | | | | | | | | | | |            (435), (439), (441), (465), (532), (533), (534),
% 167.36/25.06  | | | | | | | | | | | | | | | | | |            (536), (537), (538), (539), (540), (542), (546),
% 167.36/25.06  | | | | | | | | | | | | | | | | | |            (548), (552), (554), (556), (557), (564), (572),
% 167.36/25.06  | | | | | | | | | | | | | | | | | |            (575), (578), (621), (3007), (3699), (3714),
% 167.36/25.06  | | | | | | | | | | | | | | | | | |            (3715), (3728), (3732), (3734), (3741),
% 167.36/25.06  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 167.36/25.06  | | | | | | | | | | | | | | | | | |            #226.
% 167.36/25.06  | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | |   (3742)   ~ (all_56_4 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | REDUCE: (429), (3742) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | | | |   (3743)   ~ (all_52_8 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | |   (3744)  all_56_0 = e0
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (3744) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | |   (3745)  all_6_2 = e0
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | REDUCE: (3736), (3745) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | |   (3746)  $false
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | CLOSE: (3746) is inconsistent.
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | |   (3747)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | |   (3748)  all_56_1 = e0
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (36), (37), (179), (180),
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | |            (185), (187), (188), (203), (204), (213), (214),
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | |            (236), (248), (267), (269), (278), (284), (291),
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | |            (292), (293), (330), (331), (333), (335), (351),
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | |            (356), (368), (371), (374), (386), (390), (396),
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | |            (407), (413), (425), (429), (441), (465), (531),
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | |            (532), (534), (535), (536), (537), (538), (540),
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | |            (541), (542), (546), (548), (550), (554), (558),
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | |            (560), (566), (578), (621), (624), (630), (631),
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | |            (770), (3004), (3725), (3726), (3728), (3732),
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | |            (3740), (3748), (function-axioms) are inconsistent
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | |            by sub-proof #221.
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | |   (3749)   ~ (all_56_1 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | REDUCE: (396), (3749) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | |   (3750)   ~ (all_52_4 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (156), (164), (172),
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | |            (178), (180), (185), (187), (188), (213), (246),
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | |            (247), (267), (270), (271), (279), (286), (291),
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | |            (293), (331), (333), (335), (351), (356), (368),
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | |            (371), (374), (386), (390), (396), (407), (413),
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | |            (425), (429), (439), (441), (446), (451), (530),
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | |            (533), (534), (536), (537), (538), (540), (541),
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | |            (542), (546), (550), (552), (554), (558), (566),
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | |            (569), (574), (576), (577), (620), (3004), (3692),
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | |            (3699), (3722), (3726), (3728), (3732), (3740),
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | |            (3743), (3747), (3750), (function-axioms) are
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #439.
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | End of split
% 167.36/25.06  | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | End of split
% 167.36/25.06  | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | End of split
% 167.36/25.06  | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | Case 2:
% 167.36/25.06  | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | |   (3751)   ~ (all_56_2 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | |   (3752)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 167.36/25.06  | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | REDUCE: (411), (3751) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | |   (3753)   ~ (all_52_1 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 167.36/25.06  | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.06  | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | |   (3754)  all_56_0 = e0
% 167.36/25.06  | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (61), (154),
% 167.36/25.06  | | | | | | | | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 167.36/25.06  | | | | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 167.36/25.06  | | | | | | | | | | | | | | | | |            (183), (184), (185), (187), (188), (189), (190),
% 167.36/25.06  | | | | | | | | | | | | | | | | |            (192), (193), (203), (204), (208), (212), (233),
% 167.36/25.06  | | | | | | | | | | | | | | | | |            (234), (237), (239), (241), (242), (243), (244),
% 167.36/25.06  | | | | | | | | | | | | | | | | |            (245), (246), (247), (270), (273), (274), (275),
% 167.36/25.06  | | | | | | | | | | | | | | | | |            (276), (277), (278), (279), (280), (281), (282),
% 167.36/25.06  | | | | | | | | | | | | | | | | |            (284), (286), (287), (291), (293), (294), (295),
% 167.36/25.06  | | | | | | | | | | | | | | | | |            (330), (331), (332), (333), (334), (335), (341),
% 167.36/25.06  | | | | | | | | | | | | | | | | |            (347), (348), (351), (356), (368), (371), (374),
% 167.36/25.06  | | | | | | | | | | | | | | | | |            (377), (386), (389), (390), (395), (396), (407),
% 167.36/25.06  | | | | | | | | | | | | | | | | |            (411), (413), (425), (429), (431), (435), (439),
% 167.36/25.06  | | | | | | | | | | | | | | | | |            (441), (446), (448), (451), (453), (456), (460),
% 167.36/25.06  | | | | | | | | | | | | | | | | |            (462), (463), (468), (531), (533), (534), (535),
% 167.36/25.06  | | | | | | | | | | | | | | | | |            (536), (537), (538), (539), (540), (541), (542),
% 167.36/25.06  | | | | | | | | | | | | | | | | |            (544), (546), (548), (550), (552), (554), (555),
% 167.36/25.06  | | | | | | | | | | | | | | | | |            (556), (558), (560), (562), (564), (567), (569),
% 167.36/25.06  | | | | | | | | | | | | | | | | |            (570), (572), (574), (576), (577), (578), (619),
% 167.36/25.06  | | | | | | | | | | | | | | | | |            (625), (626), (628), (630), (632), (633), (3004),
% 167.36/25.06  | | | | | | | | | | | | | | | | |            (3694), (3714), (3716), (3754), (function-axioms)
% 167.36/25.06  | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #203.
% 167.36/25.06  | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.06  | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | |   (3755)   ~ (all_56_0 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | | |   (3756)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 167.36/25.06  | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | REDUCE: (536), (3755) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | | |   (3757)   ~ (all_6_2 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 167.36/25.06  | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | |   (3758)  all_54_0 = e0
% 167.36/25.06  | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | REF_CLOSE: (532), (3757), (3758) are inconsistent by
% 167.36/25.06  | | | | | | | | | | | | | | | | | |            sub-proof #984.
% 167.36/25.06  | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | |   (3759)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 167.36/25.06  | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | |   (3760)  all_54_13 = e0
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (3760) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | |   (3761)  all_52_7 = e0
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | SIMP: (3761) implies:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | |   (3762)  all_52_7 = e0
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (3762) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | |   (3763)  all_56_13 = e0
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | REDUCE: (184), (3762) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | |   (3764)   ~ (all_52_3 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | REDUCE: (562), (3762) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | |   (3765)   ~ (all_4_2 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | BETA: splitting (3756) gives:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | |   (3766)  all_56_2 = e0
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (3766) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | |   (3767)  all_52_1 = e0
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | REDUCE: (3753), (3767) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | |   (3768)  $false
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | CLOSE: (3768) is inconsistent.
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | |   (3769)  all_56_6 = e0 | all_56_12 = e0
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | BETA: splitting (3769) gives:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | |   (3770)  all_56_6 = e0
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (3770) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | |   (3771)  all_52_2 = e0
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (3771) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | |   (3772)  all_58_18 = e0
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | REDUCE: (188), (3771) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | |   (3773)   ~ (all_52_3 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (3771) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | |   (3774)   ~ (all_52_6 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | SIMP: (3774) implies:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | |   (3775)   ~ (all_52_6 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | REDUCE: (185), (3771) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | |   (3776)   ~ (all_52_14 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | SIMP: (3776) implies:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | |   (3777)   ~ (all_52_14 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (3771) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | |   (3778)   ~ (all_6_2 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | |   (3779)  all_56_4 = e0
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (3779) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | |   (3780)  all_52_8 = e0
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (3780) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | |   (3781)  all_58_24 = e0
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (3780) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | |   (3782)   ~ (all_52_11 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | | SIMP: (3782) implies:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | |   (3783)   ~ (all_52_11 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (3780) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | |   (3784)   ~ (all_52_12 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | | SIMP: (3784) implies:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | |   (3785)   ~ (all_52_12 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (9), (161), (189), (190), (192), (203),
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | |            (244), (267), (293), (331), (332), (335), (341),
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | |            (347), (351), (356), (374), (377), (389), (390),
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | |            (407), (411), (435), (439), (441), (448), (504),
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | |            (530), (532), (533), (536), (537), (538), (539),
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | |            (542), (544), (548), (554), (557), (570), (572),
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | |            (574), (575), (577), (634), (767), (3691), (3697),
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | |            (3699), (3715), (3719), (3722), (3757), (3759),
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | |            (3763), (3764), (3770), (3772), (3777), (3781),
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | |            (3783), (3785), (function-axioms) are inconsistent
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #446.
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | |   (3786)   ~ (all_56_4 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | | 
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (429), (3786) imply:
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | |   (3787)   ~ (all_52_8 = e0)
% 167.36/25.06  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.06  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (51), (154),
% 167.78/25.06  | | | | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (164), (167), (169), (170),
% 167.78/25.06  | | | | | | | | | | | | | | | | | | | | | |            (172), (177), (178), (179), (180), (184), (185),
% 167.78/25.06  | | | | | | | | | | | | | | | | | | | | | |            (187), (188), (189), (190), (192), (193), (209),
% 167.78/25.06  | | | | | | | | | | | | | | | | | | | | | |            (214), (236), (239), (241), (242), (244), (247),
% 167.78/25.06  | | | | | | | | | | | | | | | | | | | | | |            (248), (271), (272), (273), (276), (278), (280),
% 167.78/25.06  | | | | | | | | | | | | | | | | | | | | | |            (281), (282), (285), (286), (289), (290), (292),
% 167.78/25.06  | | | | | | | | | | | | | | | | | | | | | |            (294), (296), (331), (332), (333), (334), (335),
% 167.78/25.06  | | | | | | | | | | | | | | | | | | | | | |            (347), (348), (351), (356), (368), (371), (374),
% 167.78/25.06  | | | | | | | | | | | | | | | | | | | | | |            (377), (386), (389), (390), (395), (396), (407),
% 167.78/25.06  | | | | | | | | | | | | | | | | | | | | | |            (411), (413), (425), (429), (431), (435), (439),
% 167.78/25.06  | | | | | | | | | | | | | | | | | | | | | |            (441), (446), (448), (453), (456), (462), (465),
% 167.78/25.06  | | | | | | | | | | | | | | | | | | | | | |            (530), (531), (532), (533), (534), (535), (536),
% 167.78/25.06  | | | | | | | | | | | | | | | | | | | | | |            (537), (538), (539), (540), (541), (542), (544),
% 167.78/25.06  | | | | | | | | | | | | | | | | | | | | | |            (546), (548), (550), (552), (554), (555), (558),
% 167.78/25.06  | | | | | | | | | | | | | | | | | | | | | |            (560), (562), (564), (566), (567), (568), (569),
% 167.78/25.06  | | | | | | | | | | | | | | | | | | | | | |            (570), (574), (577), (578), (622), (623), (629),
% 167.78/25.06  | | | | | | | | | | | | | | | | | | | | | |            (770), (3692), (3694), (3714), (3715), (3722),
% 167.78/25.06  | | | | | | | | | | | | | | | | | | | | | |            (3725), (3753), (3757), (3764), (3770), (3772),
% 167.78/25.06  | | | | | | | | | | | | | | | | | | | | | |            (3775), (3777), (3787), (function-axioms) are
% 167.78/25.06  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #159.
% 167.78/25.06  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.06  | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.06  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.06  | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.06  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.06  | | | | | | | | | | | | | | | | | | | | |   (3788)  all_56_12 = e0
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (3764), (3788) are inconsistent by
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            sub-proof #919.
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | |   (3789)   ~ (all_54_13 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | REDUCE: (466), (3789) imply:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | |   (3790)   ~ (all_52_7 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | |   (3791)  all_56_1 = e0
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (3791) imply:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | |   (3792)  all_52_4 = e0
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (3792) imply:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | |   (3793)  all_58_20 = e0
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (3792) imply:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | |   (3794)   ~ (all_52_7 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | REDUCE: (178), (3792) imply:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | |   (3795)   ~ (all_52_8 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | SIMP: (3795) implies:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | |   (3796)   ~ (all_52_8 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (3792) imply:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | |   (3797)   ~ (all_52_12 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | SIMP: (3797) implies:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | |   (3798)   ~ (all_52_12 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | REDUCE: (558), (3792) imply:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | |   (3799)   ~ (all_4_2 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | REDUCE: (214), (3792) imply:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | |   (3800)  op(e3, e2) = e0
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |   (3801)  all_56_6 = e0
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (3801) imply:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |   (3802)  all_52_2 = e0
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | REDUCE: (188), (3802) imply:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |   (3803)   ~ (all_52_3 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | SIMP: (3803) implies:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |   (3804)   ~ (all_52_3 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | REDUCE: (185), (3802) imply:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |   (3805)   ~ (all_52_14 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | SIMP: (3805) implies:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |   (3806)   ~ (all_52_14 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (3802) imply:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |   (3807)   ~ (all_6_2 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (156), (157),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (161), (164), (167), (170), (185), (187), (188),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (189), (190), (193), (209), (242), (244), (248),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (273), (276), (278), (280), (282), (289), (292),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (294), (296), (331), (333), (334), (335), (347),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (348), (351), (356), (368), (371), (374), (377),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (386), (389), (390), (395), (407), (411), (413),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (425), (429), (431), (435), (439), (441), (448),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (453), (530), (531), (532), (534), (535), (536),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (537), (538), (539), (540), (542), (544), (546),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (552), (554), (555), (560), (564), (566), (567),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (570), (574), (577), (622), (623), (770), (3692),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (3714), (3715), (3722), (3725), (3752), (3757),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (3790), (3791), (3793), (3796), (3798), (3800),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (3804), (3806), (function-axioms) are inconsistent
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #449.
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |   (3808)   ~ (all_56_6 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |   (3809)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | REDUCE: (413), (3808) imply:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |   (3810)   ~ (all_52_2 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (37), (42), (154), (156),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (157), (162), (164), (165), (167), (169), (170),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (172), (177), (178), (179), (180), (183), (184),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (185), (187), (189), (190), (192), (193), (207),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (211), (214), (234), (235), (240), (244), (247),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (248), (270), (274), (277), (281), (282), (284),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (285), (290), (291), (293), (294), (295), (331),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (332), (333), (347), (348), (351), (356), (368),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (374), (377), (386), (390), (395), (396), (411),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (413), (425), (429), (431), (435), (439), (441),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (446), (448), (455), (466), (468), (521), (531),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (532), (533), (534), (535), (536), (537), (538),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (539), (540), (541), (544), (546), (548), (550),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (552), (554), (555), (556), (558), (560), (562),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (564), (566), (567), (568), (570), (572), (574),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (576), (577), (578), (684), (770), (2998), (3003),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (3004), (3694), (3725), (3753), (3756), (3809),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (3810), (function-axioms) are inconsistent by
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            sub-proof #158.
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | |   (3811)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | BETA: splitting (3811) gives:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |   (3812)  all_56_3 = e0
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (3812) imply:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |   (3813)  all_4_2 = e0
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | REDUCE: (3694), (3813) imply:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |   (3814)  $false
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | CLOSE: (3814) is inconsistent.
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |   (3815)  all_56_7 = e0 | all_56_13 = e0
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (42), (51), (154), (156),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (157), (161), (162), (164), (165), (167), (170),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (177), (178), (180), (183), (184), (187), (189),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (190), (193), (207), (211), (244), (245), (247),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (248), (277), (279), (282), (288), (290), (291),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (293), (294), (331), (332), (333), (347), (348),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (351), (356), (368), (374), (377), (386), (390),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (395), (396), (411), (413), (425), (429), (431),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (435), (439), (441), (446), (448), (460), (521),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (532), (534), (535), (536), (537), (538), (539),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (540), (541), (544), (546), (548), (550), (552),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (554), (555), (556), (558), (564), (567), (569),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (570), (574), (576), (577), (629), (684), (2998),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (3003), (3692), (3715), (3753), (3756), (3790),
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            (3815), (function-axioms) are inconsistent by
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | |            sub-proof #156.
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.07  | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | End of split
% 167.78/25.07  | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | End of split
% 167.78/25.07  | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | End of split
% 167.78/25.07  | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | End of split
% 167.78/25.07  | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | End of split
% 167.78/25.07  | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | End of split
% 167.78/25.07  | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | End of split
% 167.78/25.07  | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | Case 2:
% 167.78/25.07  | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | |   (3816)  all_48_2 = e1
% 167.78/25.07  | | | | | | | | | | |   (3817)   ~ (all_48_0 = e3) |  ~ (all_48_1 = e2)
% 167.78/25.07  | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | COMBINE_EQS: (478), (3816) imply:
% 167.78/25.07  | | | | | | | | | | |   (3818)  all_14_2 = e1
% 167.78/25.07  | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | SIMP: (3818) implies:
% 167.78/25.07  | | | | | | | | | | |   (3819)  all_14_2 = e1
% 167.78/25.07  | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | COMBINE_EQS: (525), (3819) imply:
% 167.78/25.07  | | | | | | | | | | |   (3820)  all_50_2 = e1
% 167.78/25.07  | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | COMBINE_EQS: (533), (3819) imply:
% 167.78/25.07  | | | | | | | | | | |   (3821)  all_56_15 = e1
% 167.78/25.07  | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | COMBINE_EQS: (537), (3819) imply:
% 167.78/25.07  | | | | | | | | | | |   (3822)  all_58_31 = e1
% 167.78/25.07  | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | REDUCE: (557), (3819) imply:
% 167.78/25.07  | | | | | | | | | | |   (3823)   ~ (all_52_3 = e1)
% 167.78/25.07  | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | REDUCE: (568), (3819) imply:
% 167.78/25.07  | | | | | | | | | | |   (3824)   ~ (all_52_7 = e1)
% 167.78/25.07  | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | REDUCE: (575), (3819) imply:
% 167.78/25.07  | | | | | | | | | | |   (3825)   ~ (all_52_11 = e1)
% 167.78/25.07  | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | REDUCE: (576), (3819) imply:
% 167.78/25.07  | | | | | | | | | | |   (3826)   ~ (all_52_12 = e1)
% 167.78/25.07  | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | REDUCE: (577), (3819) imply:
% 167.78/25.07  | | | | | | | | | | |   (3827)   ~ (all_52_13 = e1)
% 167.78/25.07  | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | REDUCE: (578), (3819) imply:
% 167.78/25.07  | | | | | | | | | | |   (3828)   ~ (all_52_14 = e1)
% 167.78/25.07  | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | REDUCE: (63), (3819) imply:
% 167.78/25.07  | | | | | | | | | | |   (3829)  op(all_14_1, e1) = all_14_0
% 167.78/25.07  | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | REDUCE: (62), (3819) imply:
% 167.78/25.07  | | | | | | | | | | |   (3830)  op(e1, e0) = all_14_1
% 167.78/25.07  | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | REDUCE: (634), (3819) imply:
% 167.78/25.07  | | | | | | | | | | |   (3831)  op(e0, e1) = all_58_15
% 167.78/25.07  | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 167.78/25.07  | | | | | | | | | | |              all_58_15, e1, e0, simplifying with (201), (3831)
% 167.78/25.07  | | | | | | | | | | |              gives:
% 167.78/25.07  | | | | | | | | | | |   (3832)  all_58_15 = all_52_11
% 167.78/25.07  | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 167.78/25.07  | | | | | | | | | | |              all_14_1, e0, e1, simplifying with (204), (3830)
% 167.78/25.07  | | | | | | | | | | |              gives:
% 167.78/25.07  | | | | | | | | | | |   (3833)  all_52_14 = all_14_1
% 167.78/25.07  | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | COMBINE_EQS: (463), (3833) imply:
% 167.78/25.07  | | | | | | | | | | |   (3834)  all_54_11 = all_14_1
% 167.78/25.07  | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | COMBINE_EQS: (441), (3833) imply:
% 167.78/25.07  | | | | | | | | | | |   (3835)  all_56_11 = all_14_1
% 167.78/25.07  | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | COMBINE_EQS: (356), (3833) imply:
% 167.78/25.07  | | | | | | | | | | |   (3836)  all_58_30 = all_14_1
% 167.78/25.07  | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | REDUCE: (185), (3833) imply:
% 167.78/25.07  | | | | | | | | | | |   (3837)   ~ (all_52_2 = all_14_1)
% 167.78/25.07  | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | REDUCE: (170), (3833) imply:
% 167.78/25.07  | | | | | | | | | | |   (3838)   ~ (all_52_6 = all_14_1)
% 167.78/25.07  | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | REDUCE: (156), (3833) imply:
% 167.78/25.07  | | | | | | | | | | |   (3839)   ~ (all_52_12 = all_14_1)
% 167.78/25.07  | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | REDUCE: (154), (3833) imply:
% 167.78/25.07  | | | | | | | | | | |   (3840)   ~ (all_52_13 = all_14_1)
% 167.78/25.07  | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | REDUCE: (574), (3833) imply:
% 167.78/25.07  | | | | | | | | | | |   (3841)   ~ (all_14_1 = all_10_2)
% 167.78/25.07  | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | BETA: splitting (150) gives:
% 167.78/25.07  | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | Case 1:
% 167.78/25.07  | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | |   (3842)   ~ (all_50_2 = e1)
% 167.78/25.07  | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | REDUCE: (3820), (3842) imply:
% 167.78/25.07  | | | | | | | | | | | |   (3843)  $false
% 167.78/25.07  | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | CLOSE: (3843) is inconsistent.
% 167.78/25.07  | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | Case 2:
% 167.78/25.07  | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | |   (3844)   ~ (all_50_0 = e2) |  ~ (all_50_1 = e3)
% 167.78/25.07  | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | BETA: splitting (243) gives:
% 167.78/25.07  | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | Case 1:
% 167.78/25.07  | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | |   (3845)  all_54_5 = e0
% 167.78/25.07  | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | REF_CLOSE: (531), (3694), (3845) are inconsistent by
% 167.78/25.07  | | | | | | | | | | | | |            sub-proof #983.
% 167.78/25.07  | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | Case 2:
% 167.78/25.07  | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | |   (3846)   ~ (all_54_5 = e0)
% 167.78/25.07  | | | | | | | | | | | | |   (3847)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 167.78/25.07  | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | BETA: splitting (235) gives:
% 167.78/25.07  | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | Case 1:
% 167.78/25.07  | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | |   (3848)  all_54_13 = e0
% 167.78/25.07  | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | COMBINE_EQS: (466), (3848) imply:
% 167.78/25.07  | | | | | | | | | | | | | |   (3849)  all_52_7 = e0
% 167.78/25.07  | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | SIMP: (3849) implies:
% 167.78/25.07  | | | | | | | | | | | | | |   (3850)  all_52_7 = e0
% 167.78/25.07  | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | COMBINE_EQS: (348), (3850) imply:
% 167.78/25.07  | | | | | | | | | | | | | |   (3851)  all_56_13 = e0
% 167.78/25.07  | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | REDUCE: (184), (3850) imply:
% 167.78/25.07  | | | | | | | | | | | | | |   (3852)   ~ (all_52_3 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | REDUCE: (179), (3850) imply:
% 167.78/25.07  | | | | | | | | | | | | | |   (3853)   ~ (all_52_4 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | REDUCE: (172), (3850) imply:
% 167.78/25.07  | | | | | | | | | | | | | |   (3854)   ~ (all_52_6 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | REDUCE: (169), (3850) imply:
% 167.78/25.07  | | | | | | | | | | | | | |   (3855)   ~ (all_52_11 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | SIMP: (3855) implies:
% 167.78/25.07  | | | | | | | | | | | | | |   (3856)   ~ (all_52_11 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | REDUCE: (562), (3850) imply:
% 167.78/25.07  | | | | | | | | | | | | | |   (3857)   ~ (all_4_2 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | REDUCE: (3824), (3850) imply:
% 167.78/25.07  | | | | | | | | | | | | | |   (3858)   ~ (e1 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 167.78/25.07  | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | Case 1:
% 167.78/25.07  | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | |   (3859)  all_54_14 = e0
% 167.78/25.07  | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | REF_CLOSE: (468), (3856), (3859) are inconsistent by
% 167.78/25.07  | | | | | | | | | | | | | | |            sub-proof #799.
% 167.78/25.07  | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | Case 2:
% 167.78/25.07  | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | |   (3860)   ~ (all_54_14 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | |   (3861)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 167.78/25.07  | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 167.78/25.07  | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | Case 1:
% 167.78/25.07  | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | |   (3862)  all_54_12 = e0
% 167.78/25.07  | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | REF_CLOSE: (465), (3852), (3862) are inconsistent by
% 167.78/25.07  | | | | | | | | | | | | | | | |            sub-proof #559.
% 167.78/25.07  | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | Case 2:
% 167.78/25.07  | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | |   (3863)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 167.78/25.07  | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 167.78/25.07  | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.07  | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | |   (3864)  all_56_6 = e0
% 167.78/25.07  | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (3864) imply:
% 167.78/25.07  | | | | | | | | | | | | | | | | |   (3865)  all_52_2 = e0
% 167.78/25.07  | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (3865) imply:
% 167.78/25.07  | | | | | | | | | | | | | | | | |   (3866)  all_58_18 = e0
% 167.78/25.07  | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | REDUCE: (188), (3865) imply:
% 167.78/25.07  | | | | | | | | | | | | | | | | |   (3867)   ~ (all_52_3 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | REDUCE: (187), (3865) imply:
% 167.78/25.07  | | | | | | | | | | | | | | | | |   (3868)   ~ (all_52_6 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | REDUCE: (3837), (3865) imply:
% 167.78/25.07  | | | | | | | | | | | | | | | | |   (3869)   ~ (all_14_1 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | SIMP: (3869) implies:
% 167.78/25.07  | | | | | | | | | | | | | | | | |   (3870)   ~ (all_14_1 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | REDUCE: (556), (3865) imply:
% 167.78/25.07  | | | | | | | | | | | | | | | | |   (3871)   ~ (all_10_2 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | REDUCE: (546), (3865) imply:
% 167.78/25.07  | | | | | | | | | | | | | | | | |   (3872)   ~ (all_6_2 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | SIMP: (3872) implies:
% 167.78/25.07  | | | | | | | | | | | | | | | | |   (3873)   ~ (all_6_2 = e0)
% 167.78/25.07  | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (51), (157), (162), (164), (165),
% 167.78/25.07  | | | | | | | | | | | | | | | | |            (167), (177), (178), (180), (189), (190), (192),
% 167.78/25.07  | | | | | | | | | | | | | | | | |            (203), (208), (213), (214), (237), (239), (246),
% 167.78/25.07  | | | | | | | | | | | | | | | | |            (247), (248), (266), (269), (276), (277), (286),
% 167.78/25.07  | | | | | | | | | | | | | | | | |            (287), (290), (291), (295), (330), (331), (332),
% 167.78/25.07  | | | | | | | | | | | | | | | | |            (335), (347), (351), (374), (377), (389), (390),
% 167.78/25.07  | | | | | | | | | | | | | | | | |            (395), (396), (407), (411), (425), (429), (431),
% 167.78/25.07  | | | | | | | | | | | | | | | | |            (435), (439), (446), (451), (456), (465), (531),
% 167.78/25.07  | | | | | | | | | | | | | | | | |            (532), (534), (535), (536), (538), (539), (542),
% 167.78/25.07  | | | | | | | | | | | | | | | | |            (544), (548), (550), (552), (554), (555), (560),
% 167.78/25.07  | | | | | | | | | | | | | | | | |            (566), (567), (569), (570), (620), (626), (629),
% 167.78/25.07  | | | | | | | | | | | | | | | | |            (631), (692), (769), (3004), (3007), (3821),
% 167.78/25.07  | | | | | | | | | | | | | | | | |            (3822), (3823), (3826), (3827), (3829), (3834),
% 167.78/25.07  | | | | | | | | | | | | | | | | |            (3835), (3836), (3838), (3839), (3840), (3844),
% 167.78/25.07  | | | | | | | | | | | | | | | | |            (3847), (3851), (3852), (3853), (3854), (3856),
% 167.78/25.07  | | | | | | | | | | | | | | | | |            (3863), (3864), (3866), (3870), (3873),
% 167.78/25.07  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 167.78/25.07  | | | | | | | | | | | | | | | | |            #189.
% 167.78/25.07  | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.07  | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | |   (3874)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 167.78/25.07  | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | BETA: splitting (3874) gives:
% 167.78/25.07  | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | |   (3875)  all_56_7 = e0
% 167.78/25.07  | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (3875) imply:
% 167.78/25.07  | | | | | | | | | | | | | | | | | |   (3876)  all_52_6 = e0
% 167.78/25.07  | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | REDUCE: (3854), (3876) imply:
% 167.78/25.07  | | | | | | | | | | | | | | | | | |   (3877)  $false
% 167.78/25.07  | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | CLOSE: (3877) is inconsistent.
% 167.78/25.07  | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | |   (3878)  all_56_8 = e0 | all_56_11 = e0
% 167.78/25.07  | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | BETA: splitting (3878) gives:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | |   (3879)  all_56_8 = e0
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (3879) imply:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | |   (3880)  all_10_2 = e0
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | REDUCE: (3004), (3880) imply:
% 167.78/25.07  | | | | | | | | | | | | | | | | | | |   (3881)  $false
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | CLOSE: (3881) is inconsistent.
% 167.78/25.07  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | |   (3882)  all_56_11 = e0
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3835), (3882) imply:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | |   (3883)  all_14_1 = e0
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | REDUCE: (3837), (3883) imply:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | |   (3884)   ~ (all_52_2 = e0)
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | REDUCE: (3841), (3883) imply:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | |   (3885)   ~ (all_10_2 = e0)
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | REDUCE: (3829), (3883) imply:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | |   (3886)  op(e0, e1) = all_14_0
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 167.78/25.08  | | | | | | | | | | | | | | | | | | |              all_14_0, e1, e0, simplifying with (201), (3886)
% 167.78/25.08  | | | | | | | | | | | | | | | | | | |              gives:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | |   (3887)  all_52_11 = all_14_0
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (468), (3887) imply:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | |   (3888)  all_54_14 = all_14_0
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (3887) imply:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | |   (3889)  all_58_27 = all_14_0
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | REDUCE: (183), (3887) imply:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | |   (3890)   ~ (all_52_3 = all_14_0)
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | REDUCE: (165), (3887) imply:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | |   (3891)   ~ (all_52_8 = all_14_0)
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | REDUCE: (162), (3887) imply:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | |   (3892)   ~ (all_52_9 = all_14_0)
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | REDUCE: (572), (3887) imply:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | |   (3893)   ~ (all_14_0 = all_10_2)
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | |   (3894)  all_56_0 = e0
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (3894) imply:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | |   (3895)  all_6_2 = e0
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (3895) imply:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | |   (3896)   ~ (all_52_8 = e0)
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (3895) imply:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | |   (3897)   ~ (all_52_12 = e0)
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | |   (3898)  all_56_4 = e0
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (3898) imply:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | |   (3899)  all_52_8 = e0
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | REDUCE: (3896), (3899) imply:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | |   (3900)  $false
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | CLOSE: (3900) is inconsistent.
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | |   (3901)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (192), (203), (212), (269), (290), (291),
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | |            (332), (335), (351), (371), (377), (389), (390),
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | |            (395), (396), (407), (411), (413), (429), (431),
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | |            (435), (465), (534), (536), (539), (542), (548),
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | |            (554), (556), (570), (619), (3000), (3004),
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | |            (3005), (3823), (3853), (3856), (3861), (3863),
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | |            (3888), (3889), (3890), (3891), (3892), (3893),
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | |            (3896), (3897), (3901), (function-axioms) are
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #185.
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | |   (3902)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | BETA: splitting (3902) gives:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | |   (3903)  all_56_2 = e0
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (3903) imply:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | |   (3904)  all_52_1 = e0
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (3904) imply:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | |   (3905)  all_58_17 = e0
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | REDUCE: (193), (3904) imply:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | |   (3906)   ~ (all_52_2 = e0)
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (3904) imply:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | |   (3907)   ~ (all_52_3 = e0)
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | REDUCE: (189), (3904) imply:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | |   (3908)   ~ (all_52_13 = e0)
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | SIMP: (3908) implies:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | |   (3909)   ~ (all_52_13 = e0)
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | |   (3910)  all_56_4 = e0
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (3910) imply:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | |   (3911)  all_52_8 = e0
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (3911) imply:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | |   (3912)  all_58_24 = e0
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (3911) imply:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | |   (3913)   ~ (all_52_12 = e0)
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | SIMP: (3913) implies:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | |   (3914)   ~ (all_52_12 = e0)
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (3911) imply:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | |   (3915)   ~ (all_6_2 = e0)
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | SIMP: (3915) implies:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | |   (3916)   ~ (all_6_2 = e0)
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | |   (3917)  all_54_0 = e0
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (532), (3916), (3917) are inconsistent by
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #984.
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | |   (3918)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (157), (162), (183), (188), (201), (240),
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | |            (245), (266), (268), (269), (274), (276), (291),
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | |            (295), (331), (332), (335), (347), (351), (371),
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | |            (374), (377), (390), (407), (413), (439), (455),
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | |            (460), (465), (468), (532), (536), (538), (539),
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | |            (542), (546), (548), (554), (556), (3821), (3822),
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | |            (3823), (3825), (3826), (3829), (3835), (3836),
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | |            (3837), (3839), (3841), (3852), (3856), (3861),
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | |            (3863), (3903), (3905), (3909), (3912), (3914),
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | |            (3918), (function-axioms) are inconsistent by
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #654.
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | |   (3919)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (190), (351), (411), (413), (431), (435), (534),
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | |            (3004), (3852), (3856), (3884), (3902), (3919) are
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #913.
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | |   (3920)  all_56_6 = e0 | all_56_12 = e0
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (184), (285), (348), (351), (396), (413), (425),
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | |            (535), (3694), (3853), (3854), (3884), (3920) are
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #653.
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.08  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.08  | | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | | End of split
% 167.78/25.08  | | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | End of split
% 167.78/25.08  | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | End of split
% 167.78/25.08  | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | End of split
% 167.78/25.08  | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | Case 2:
% 167.78/25.08  | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | |   (3921)   ~ (all_54_13 = e0)
% 167.78/25.08  | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | REDUCE: (466), (3921) imply:
% 167.78/25.08  | | | | | | | | | | | | | |   (3922)   ~ (all_52_7 = e0)
% 167.78/25.08  | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (37), (157),
% 167.78/25.08  | | | | | | | | | | | | | |            (162), (172), (177), (178), (179), (180), (185),
% 167.78/25.08  | | | | | | | | | | | | | |            (187), (188), (190), (192), (193), (201), (203),
% 167.78/25.08  | | | | | | | | | | | | | |            (204), (206), (209), (213), (214), (236), (237),
% 167.78/25.08  | | | | | | | | | | | | | |            (240), (241), (248), (266), (267), (269), (273),
% 167.78/25.08  | | | | | | | | | | | | | |            (278), (281), (282), (284), (285), (286), (291),
% 167.78/25.08  | | | | | | | | | | | | | |            (292), (293), (330), (331), (332), (333), (335),
% 167.78/25.08  | | | | | | | | | | | | | |            (347), (348), (351), (356), (368), (371), (374),
% 167.78/25.08  | | | | | | | | | | | | | |            (377), (386), (389), (390), (395), (396), (407),
% 167.78/25.08  | | | | | | | | | | | | | |            (411), (413), (425), (429), (431), (435), (439),
% 167.78/25.08  | | | | | | | | | | | | | |            (441), (455), (462), (465), (531), (532), (534),
% 167.78/25.08  | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (540), (541),
% 167.78/25.08  | | | | | | | | | | | | | |            (542), (544), (546), (548), (554), (555), (556),
% 167.78/25.08  | | | | | | | | | | | | | |            (558), (560), (566), (569), (578), (621), (624),
% 167.78/25.08  | | | | | | | | | | | | | |            (630), (631), (691), (729), (770), (3004), (3005),
% 167.78/25.08  | | | | | | | | | | | | | |            (3007), (3694), (3817), (3821), (3822), (3824),
% 167.78/25.08  | | | | | | | | | | | | | |            (3825), (3826), (3827), (3829), (3834), (3835),
% 167.78/25.08  | | | | | | | | | | | | | |            (3836), (3837), (3838), (3839), (3840), (3841),
% 167.78/25.08  | | | | | | | | | | | | | |            (3847), (3922), (function-axioms) are inconsistent
% 167.78/25.08  | | | | | | | | | | | | | |            by sub-proof #180.
% 167.78/25.08  | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | End of split
% 167.78/25.08  | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | End of split
% 167.78/25.08  | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | End of split
% 167.78/25.08  | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | End of split
% 167.78/25.08  | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | End of split
% 167.78/25.08  | | | | | | | | | 
% 167.78/25.08  | | | | | | | | Case 2:
% 167.78/25.08  | | | | | | | | | 
% 167.78/25.08  | | | | | | | | |   (3923)  all_24_2 = e0
% 167.78/25.08  | | | | | | | | |   (3924)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3)
% 167.78/25.08  | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | COMBINE_EQS: (510), (3923) imply:
% 167.78/25.08  | | | | | | | | |   (3925)  all_4_2 = e0
% 167.78/25.08  | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | SIMP: (3925) implies:
% 167.78/25.08  | | | | | | | | |   (3926)  all_4_2 = e0
% 167.78/25.08  | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (38), (42),
% 167.78/25.08  | | | | | | | | |            (43), (61), (62), (63), (126), (131), (154), (156),
% 167.78/25.08  | | | | | | | | |            (157), (161), (162), (164), (165), (167), (169),
% 167.78/25.08  | | | | | | | | |            (170), (172), (177), (178), (179), (180), (183),
% 167.78/25.08  | | | | | | | | |            (184), (185), (187), (188), (189), (190), (192),
% 167.78/25.08  | | | | | | | | |            (193), (202), (203), (204), (207), (208), (209),
% 167.78/25.08  | | | | | | | | |            (212), (234), (235), (236), (237), (238), (239),
% 167.78/25.08  | | | | | | | | |            (240), (241), (242), (244), (245), (246), (247),
% 167.78/25.08  | | | | | | | | |            (248), (266), (267), (269), (270), (271), (272),
% 167.78/25.08  | | | | | | | | |            (273), (275), (276), (277), (278), (279), (280),
% 167.78/25.08  | | | | | | | | |            (283), (284), (286), (287), (288), (289), (290),
% 167.78/25.08  | | | | | | | | |            (291), (292), (293), (294), (295), (330), (331),
% 167.78/25.08  | | | | | | | | |            (332), (333), (334), (335), (347), (348), (351),
% 167.78/25.08  | | | | | | | | |            (356), (368), (371), (374), (377), (386), (389),
% 167.78/25.08  | | | | | | | | |            (390), (395), (396), (407), (411), (413), (425),
% 167.78/25.08  | | | | | | | | |            (429), (431), (435), (439), (441), (446), (448),
% 167.78/25.08  | | | | | | | | |            (451), (453), (455), (456), (460), (462), (463),
% 167.78/25.08  | | | | | | | | |            (465), (466), (468), (494), (496), (530), (532),
% 167.78/25.08  | | | | | | | | |            (533), (534), (535), (536), (537), (538), (539),
% 167.78/25.08  | | | | | | | | |            (540), (541), (542), (544), (546), (548), (550),
% 167.78/25.08  | | | | | | | | |            (552), (554), (555), (556), (557), (558), (560),
% 167.78/25.08  | | | | | | | | |            (562), (564), (567), (568), (569), (570), (572),
% 167.78/25.08  | | | | | | | | |            (574), (575), (576), (577), (578), (619), (621),
% 167.78/25.08  | | | | | | | | |            (622), (624), (627), (630), (631), (633), (634),
% 167.78/25.08  | | | | | | | | |            (674), (688), (740), (755), (3004), (3005), (3924),
% 167.78/25.08  | | | | | | | | |            (3926), (function-axioms) are inconsistent by
% 167.78/25.08  | | | | | | | | |            sub-proof #438.
% 167.78/25.08  | | | | | | | | | 
% 167.78/25.08  | | | | | | | | End of split
% 167.78/25.08  | | | | | | | | 
% 167.78/25.08  | | | | | | | End of split
% 167.78/25.08  | | | | | | | 
% 167.78/25.08  | | | | | | Case 2:
% 167.78/25.08  | | | | | | | 
% 167.78/25.08  | | | | | | |   (3927)  all_18_1 = e1
% 167.78/25.08  | | | | | | | 
% 167.78/25.08  | | | | | | | COMBINE_EQS: (650), (3927) imply:
% 167.78/25.08  | | | | | | |   (3928)  all_14_1 = e1
% 167.78/25.08  | | | | | | | 
% 167.78/25.08  | | | | | | | SIMP: (3928) implies:
% 167.78/25.08  | | | | | | |   (3929)  all_14_1 = e1
% 167.78/25.08  | | | | | | | 
% 167.78/25.08  | | | | | | | COMBINE_EQS: (686), (3929) imply:
% 167.78/25.08  | | | | | | |   (3930)  all_28_1 = e1
% 167.78/25.08  | | | | | | | 
% 167.78/25.08  | | | | | | | REDUCE: (63), (3929) imply:
% 167.78/25.08  | | | | | | |   (3931)  op(e1, all_14_2) = all_14_0
% 167.78/25.08  | | | | | | | 
% 167.78/25.08  | | | | | | | REDUCE: (62), (3929) imply:
% 167.78/25.08  | | | | | | |   (3932)  op(all_14_2, e0) = e1
% 167.78/25.08  | | | | | | | 
% 167.78/25.08  | | | | | | | BETA: splitting (79) gives:
% 167.78/25.08  | | | | | | | 
% 167.78/25.08  | | | | | | | Case 1:
% 167.78/25.08  | | | | | | | | 
% 167.78/25.08  | | | | | | | |   (3933)   ~ (all_20_1 = e0)
% 167.78/25.08  | | | | | | | | 
% 167.78/25.08  | | | | | | | | REDUCE: (682), (3933) imply:
% 167.78/25.08  | | | | | | | |   (3934)   ~ (all_10_1 = e0)
% 167.78/25.08  | | | | | | | | 
% 167.78/25.08  | | | | | | | | BETA: splitting (84) gives:
% 167.78/25.08  | | | | | | | | 
% 167.78/25.08  | | | | | | | | Case 1:
% 167.78/25.08  | | | | | | | | | 
% 167.78/25.08  | | | | | | | | |   (3935)   ~ (all_22_0 = e0)
% 167.78/25.08  | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | REDUCE: (723), (3935) imply:
% 167.78/25.08  | | | | | | | | |   (3936)   ~ (all_10_0 = e0)
% 167.78/25.08  | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | BETA: splitting (89) gives:
% 167.78/25.08  | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | Case 1:
% 167.78/25.08  | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | |   (3937)   ~ (all_24_2 = e0)
% 167.78/25.08  | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | REDUCE: (510), (3937) imply:
% 167.78/25.08  | | | | | | | | | |   (3938)   ~ (all_4_2 = e0)
% 167.78/25.08  | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | BETA: splitting (99) gives:
% 167.78/25.08  | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | Case 1:
% 167.78/25.08  | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | |   (3939)   ~ (all_28_1 = e1)
% 167.78/25.08  | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | REDUCE: (3930), (3939) imply:
% 167.78/25.08  | | | | | | | | | | |   (3940)  $false
% 167.78/25.08  | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | CLOSE: (3940) is inconsistent.
% 167.78/25.08  | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | Case 2:
% 167.78/25.08  | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | |   (3941)   ~ (all_28_0 = e2) |  ~ (all_28_2 = e3)
% 167.78/25.08  | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | BETA: splitting (266) gives:
% 167.78/25.08  | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | Case 1:
% 167.78/25.08  | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | |   (3942)  all_56_15 = e0
% 167.78/25.08  | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | REF_CLOSE: (4), (61), (533), (634), (3932), (3942),
% 167.78/25.08  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 167.78/25.08  | | | | | | | | | | | |            #437.
% 167.78/25.08  | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | Case 2:
% 167.78/25.08  | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | |   (3943)   ~ (all_56_15 = e0)
% 167.78/25.08  | | | | | | | | | | | |   (3944)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 167.78/25.08  | | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 167.78/25.08  | | | | | | | | | | | |             e0)
% 167.78/25.08  | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | ALPHA: (3944) implies:
% 167.78/25.08  | | | | | | | | | | | |   (3945)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 167.78/25.08  | | | | | | | | | | | |   (3946)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 167.78/25.08  | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | REDUCE: (533), (3943) imply:
% 167.78/25.08  | | | | | | | | | | | |   (3947)   ~ (all_14_2 = e0)
% 167.78/25.08  | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | BETA: splitting (238) gives:
% 167.78/25.08  | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | Case 1:
% 167.78/25.08  | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | |   (3948)  all_54_10 = e0
% 167.78/25.08  | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | REF_CLOSE: (530), (3004), (3948) are inconsistent by
% 167.78/25.08  | | | | | | | | | | | | |            sub-proof #909.
% 167.78/25.08  | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | Case 2:
% 167.78/25.08  | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | |   (3949)   ~ (all_54_10 = e0)
% 167.78/25.08  | | | | | | | | | | | | |   (3950)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 167.78/25.08  | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | BETA: splitting (243) gives:
% 167.78/25.08  | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | Case 1:
% 167.78/25.08  | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | |   (3951)  all_54_5 = e0
% 167.78/25.08  | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | REF_CLOSE: (531), (3938), (3951) are inconsistent by
% 167.78/25.08  | | | | | | | | | | | | | |            sub-proof #983.
% 167.78/25.08  | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | Case 2:
% 167.78/25.08  | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | |   (3952)   ~ (all_54_5 = e0)
% 167.78/25.08  | | | | | | | | | | | | | |   (3953)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 167.78/25.08  | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 167.78/25.08  | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | Case 1:
% 167.78/25.08  | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | |   (3954)  all_54_15 = e0
% 167.78/25.08  | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | REF_CLOSE: (341), (3947), (3954) are inconsistent by
% 167.78/25.08  | | | | | | | | | | | | | | |            sub-proof #910.
% 167.78/25.08  | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | Case 2:
% 167.78/25.08  | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | |   (3955)   ~ (all_54_15 = e0)
% 167.78/25.08  | | | | | | | | | | | | | | |   (3956)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 167.78/25.08  | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 167.78/25.08  | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | Case 1:
% 167.78/25.08  | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | |   (3957)  all_54_13 = e0
% 167.78/25.08  | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (3957) imply:
% 167.78/25.08  | | | | | | | | | | | | | | | |   (3958)  all_52_7 = e0
% 167.78/25.08  | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | SIMP: (3958) implies:
% 167.78/25.08  | | | | | | | | | | | | | | | |   (3959)  all_52_7 = e0
% 167.78/25.08  | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (3959) imply:
% 167.78/25.08  | | | | | | | | | | | | | | | |   (3960)  all_56_13 = e0
% 167.78/25.08  | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (3959) imply:
% 167.78/25.08  | | | | | | | | | | | | | | | |   (3961)  all_58_23 = e0
% 167.78/25.08  | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | REDUCE: (184), (3959) imply:
% 167.78/25.08  | | | | | | | | | | | | | | | |   (3962)   ~ (all_52_3 = e0)
% 167.78/25.08  | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | REDUCE: (179), (3959) imply:
% 167.78/25.08  | | | | | | | | | | | | | | | |   (3963)   ~ (all_52_4 = e0)
% 167.78/25.08  | | | | | | | | | | | | | | | | 
% 167.78/25.08  | | | | | | | | | | | | | | | | REDUCE: (172), (3959) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | |   (3964)   ~ (all_52_6 = e0)
% 167.78/25.09  | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | REDUCE: (562), (3959) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | |   (3965)   ~ (all_4_2 = e0)
% 167.78/25.09  | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | REDUCE: (632), (3959) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | |   (3966)  op(e0, e0) = all_58_13
% 167.78/25.09  | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 167.78/25.09  | | | | | | | | | | | | | | | |              all_58_13, e0, e0, simplifying with (61), (3966)
% 167.78/25.09  | | | | | | | | | | | | | | | |              gives:
% 167.78/25.09  | | | | | | | | | | | | | | | |   (3967)  all_58_13 = all_14_2
% 167.78/25.09  | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 167.78/25.09  | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | |   (3968)  all_56_6 = e0
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (3968) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | |   (3969)  all_52_2 = e0
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (3969) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | |   (3970)  all_58_18 = e0
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | REDUCE: (193), (3969) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | |   (3971)   ~ (all_52_1 = e0)
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | REDUCE: (188), (3969) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | |   (3972)   ~ (all_52_3 = e0)
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | REDUCE: (187), (3969) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | |   (3973)   ~ (all_52_6 = e0)
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | REDUCE: (185), (3969) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | |   (3974)   ~ (all_52_14 = e0)
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | SIMP: (3974) implies:
% 167.78/25.09  | | | | | | | | | | | | | | | | |   (3975)   ~ (all_52_14 = e0)
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | REDUCE: (546), (3969) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | |   (3976)   ~ (all_6_2 = e0)
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | SIMP: (3976) implies:
% 167.78/25.09  | | | | | | | | | | | | | | | | |   (3977)   ~ (all_6_2 = e0)
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (41), (42), (51),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (52), (154), (156), (157), (161), (162), (164),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (165), (167), (170), (177), (178), (180), (189),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (190), (192), (203), (208), (213), (214), (236),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (239), (241), (247), (248), (268), (269), (271),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (272), (275), (276), (277), (281), (282), (284),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (286), (287), (290), (291), (292), (293), (294),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (295), (330), (331), (332), (334), (335), (347),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (351), (356), (368), (374), (377), (386), (389),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (390), (395), (396), (407), (411), (425), (429),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (431), (439), (441), (446), (456), (462), (465),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (530), (531), (532), (533), (534), (535), (536),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (537), (538), (539), (542), (544), (548), (550),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (552), (554), (555), (558), (560), (564), (566),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (567), (569), (570), (574), (576), (577), (578),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (619), (620), (626), (629), (631), (3000), (3934),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (3938), (3946), (3950), (3953), (3960), (3961),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (3962), (3963), (3964), (3968), (3970), (3971),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (3975), (3977), (function-axioms) are inconsistent
% 167.78/25.09  | | | | | | | | | | | | | | | | |            by sub-proof #152.
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | |   (3978)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (154), (156),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (157), (161), (162), (164), (165), (167), (169),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (170), (172), (177), (180), (183), (184), (185),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (187), (188), (189), (190), (192), (193), (203),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (204), (207), (208), (212), (234), (236), (239),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (241), (244), (245), (247), (248), (270), (276),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (278), (279), (281), (282), (284), (286), (287),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (289), (290), (291), (293), (295), (330), (331),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (332), (334), (335), (341), (347), (348), (351),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (356), (368), (371), (374), (377), (386), (389),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (390), (395), (396), (407), (411), (413), (425),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (429), (431), (435), (439), (441), (446), (448),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (456), (460), (462), (465), (468), (523), (532),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (541), (542), (544), (546), (548), (550), (552),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (554), (556), (557), (558), (564), (567), (568),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (572), (576), (577), (578), (619), (625), (628),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (630), (766), (3004), (3931), (3938), (3941),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (3945), (3956), (3961), (3962), (3963), (3964),
% 167.78/25.09  | | | | | | | | | | | | | | | | |            (3967), (3978), (function-axioms) are inconsistent
% 167.78/25.09  | | | | | | | | | | | | | | | | |            by sub-proof #147.
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | End of split
% 167.78/25.09  | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | Case 2:
% 167.78/25.09  | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | |   (3979)   ~ (all_54_13 = e0)
% 167.78/25.09  | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | REDUCE: (466), (3979) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | |   (3980)   ~ (all_52_7 = e0)
% 167.78/25.09  | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 167.78/25.09  | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | |   (3981)  all_56_1 = e0
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (3981) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | |   (3982)  all_52_4 = e0
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (3982) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | |   (3983)  all_58_20 = e0
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | REDUCE: (180), (3982) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | |   (3984)   ~ (all_52_6 = e0)
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | SIMP: (3984) implies:
% 167.78/25.09  | | | | | | | | | | | | | | | | |   (3985)   ~ (all_52_6 = e0)
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | REDUCE: (179), (3982) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | |   (3986)   ~ (all_52_7 = e0)
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | REDUCE: (550), (3982) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | |   (3987)   ~ (all_6_2 = e0)
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | SIMP: (3987) implies:
% 167.78/25.09  | | | | | | | | | | | | | | | | |   (3988)   ~ (all_6_2 = e0)
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | REDUCE: (558), (3982) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | |   (3989)   ~ (all_4_2 = e0)
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | REDUCE: (620), (3982) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | |   (3990)  op(e3, e0) = all_58_1
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | REDUCE: (214), (3982) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | |   (3991)  op(e3, e2) = e0
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 167.78/25.09  | | | | | | | | | | | | | | | | |              all_58_1, e0, e3, simplifying with (212), (3990)
% 167.78/25.09  | | | | | | | | | | | | | | | | |              gives:
% 167.78/25.09  | | | | | | | | | | | | | | | | |   (3992)  all_58_1 = all_52_12
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.09  | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | |   (3993)  all_56_6 = e0
% 167.78/25.09  | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (3993) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | | |   (3994)  all_52_2 = e0
% 167.78/25.09  | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | REDUCE: (193), (3994) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | | |   (3995)   ~ (all_52_1 = e0)
% 167.78/25.09  | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | REDUCE: (556), (3994) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | | |   (3996)   ~ (all_10_2 = e0)
% 167.78/25.09  | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (37), (41),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (42), (51), (52), (53), (61), (154), (156), (157),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (161), (162), (164), (165), (167), (169), (170),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (172), (177), (178), (179), (180), (183), (184),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (185), (187), (188), (189), (190), (192), (193),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (203), (204), (207), (208), (209), (211), (212),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (213), (214), (233), (234), (235), (236), (237),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (239), (240), (241), (242), (243), (244), (245),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (246), (247), (248), (267), (268), (269), (270),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (271), (272), (273), (274), (275), (276), (277),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (278), (279), (280), (281), (282), (284), (285),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (286), (287), (289), (290), (291), (292), (293),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (294), (295), (330), (331), (332), (333), (334),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (335), (341), (347), (348), (351), (356), (368),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (371), (374), (377), (386), (389), (390), (395),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (396), (407), (411), (413), (425), (429), (431),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (435), (439), (441), (446), (448), (451), (453),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (455), (456), (460), (462), (463), (465), (466),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (468), (521), (530), (531), (532), (533), (534),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (540), (541),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (542), (544), (546), (548), (550), (552), (554),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (555), (556), (558), (560), (562), (564), (566),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (567), (568), (569), (570), (572), (574), (576),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (577), (578), (619), (620), (621), (622), (623),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (624), (625), (626), (627), (628), (629), (630),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (631), (632), (633), (684), (770), (2998), (3000),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (3003), (3004), (3934), (3936), (3938), (3945),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (3946), (3947), (3950), (3953), (3995),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            #191.
% 167.78/25.09  | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.09  | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | |   (3997)   ~ (all_56_6 = e0)
% 167.78/25.09  | | | | | | | | | | | | | | | | | |   (3998)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 167.78/25.09  | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (37), (42),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (154), (156), (157), (162), (164), (165), (167),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (183), (184), (185), (187), (188), (189), (190),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (192), (193), (203), (204), (207), (211), (213),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (214), (234), (235), (236), (240), (244), (247),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (248), (267), (269), (270), (274), (277), (278),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (281), (282), (284), (285), (289), (290), (291),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (292), (293), (294), (295), (330), (331), (332),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (333), (335), (347), (348), (351), (356), (368),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (371), (374), (377), (386), (389), (390), (395),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (396), (407), (411), (413), (425), (429), (431),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (435), (439), (441), (446), (448), (455), (465),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (466), (468), (521), (531), (532), (533), (534),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (540), (541),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (542), (544), (546), (548), (550), (552), (554),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (555), (556), (558), (560), (562), (564), (566),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (567), (568), (570), (572), (574), (576), (577),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (578), (621), (624), (630), (631), (684), (770),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (2998), (3003), (3004), (3938), (3953), (3980),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (3981), (3983), (3985), (3988), (3991), (3997),
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            (3998), (function-axioms) are inconsistent by
% 167.78/25.09  | | | | | | | | | | | | | | | | | |            sub-proof #146.
% 167.78/25.09  | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | End of split
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | |   (3999)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | BETA: splitting (3999) gives:
% 167.78/25.09  | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.09  | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | |   (4000)  all_56_3 = e0
% 167.78/25.09  | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (4000) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | | |   (4001)  all_4_2 = e0
% 167.78/25.09  | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | REDUCE: (3938), (4001) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | | |   (4002)  $false
% 167.78/25.09  | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | CLOSE: (4002) is inconsistent.
% 167.78/25.09  | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.09  | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | |   (4003)  all_56_7 = e0 | all_56_13 = e0
% 167.78/25.09  | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | BETA: splitting (4003) gives:
% 167.78/25.09  | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | |   (4004)  all_56_7 = e0
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (4004) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | | | |   (4005)  all_52_6 = e0
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (368), (4005) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | | | |   (4006)  all_58_22 = e0
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | REDUCE: (187), (4005) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | | | |   (4007)   ~ (all_52_2 = e0)
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | REDUCE: (180), (4005) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | | | |   (4008)   ~ (all_52_4 = e0)
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | REDUCE: (172), (4005) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | | | |   (4009)   ~ (all_52_7 = e0)
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | REDUCE: (170), (4005) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | | | |   (4010)   ~ (all_52_14 = e0)
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | SIMP: (4010) implies:
% 167.78/25.09  | | | | | | | | | | | | | | | | | | |   (4011)   ~ (all_52_14 = e0)
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | REDUCE: (567), (4005) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | | | |   (4012)   ~ (all_10_2 = e0)
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | REDUCE: (560), (4005) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | | | |   (4013)   ~ (all_4_2 = e0)
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | REDUCE: (628), (4005) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | | | |   (4014)  op(e1, e0) = all_58_9
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 167.78/25.09  | | | | | | | | | | | | | | | | | | |              all_58_9, e0, e1, simplifying with (204), (4014)
% 167.78/25.09  | | | | | | | | | | | | | | | | | | |              gives:
% 167.78/25.09  | | | | | | | | | | | | | | | | | | |   (4015)  all_58_9 = all_52_14
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | |   (4016)  all_54_1 = e0
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (4008), (4016) are inconsistent by
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | |            sub-proof #866.
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | |   (4017)   ~ (all_54_1 = e0)
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | |   (4018)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | | |   (4019)  all_54_8 = e0
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (4019) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | | |   (4020)  all_52_2 = e0
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | | | REDUCE: (4007), (4020) imply:
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | | |   (4021)  $false
% 167.78/25.09  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | CLOSE: (4021) is inconsistent.
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | |   (4022)   ~ (all_54_8 = e0)
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | |   (4023)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | |   (4024)  all_56_4 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (4024) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | |   (4025)  all_52_8 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (4025) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | |   (4026)  all_58_24 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (4025) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | |   (4027)   ~ (all_52_9 = e0)
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | SIMP: (4027) implies:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | |   (4028)   ~ (all_52_9 = e0)
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (4025) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | |   (4029)   ~ (all_52_12 = e0)
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | SIMP: (4029) implies:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | |   (4030)   ~ (all_52_12 = e0)
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (4025) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | |   (4031)   ~ (all_6_2 = e0)
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | SIMP: (4031) implies:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | |   (4032)   ~ (all_6_2 = e0)
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3945) gives:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |   (4033)  all_56_12 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (4033) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |   (4034)  all_52_3 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4034) implies:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |   (4035)  all_52_3 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (4035) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |   (4036)   ~ (all_52_1 = e0)
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (183), (4035) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |   (4037)   ~ (all_52_11 = e0)
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4037) implies:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |   (4038)   ~ (all_52_11 = e0)
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (42), (157), (172), (177), (180),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |            (185), (187), (189), (190), (193), (207), (211),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |            (240), (244), (247), (248), (274), (281), (282),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |            (285), (291), (293), (295), (331), (332), (333),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |            (347), (348), (356), (368), (374), (377), (386),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |            (396), (411), (413), (425), (431), (439), (446),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |            (448), (455), (521), (532), (535), (536), (537),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |            (538), (539), (540), (541), (544), (546), (550),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |            (554), (555), (556), (558), (560), (564), (566),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |            (574), (577), (684), (2998), (3003), (3938),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |            (3980), (4008), (4026), (4028), (4032), (4033),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |            (4036), (4038), (function-axioms) are inconsistent
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #216.
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |   (4039)   ~ (all_56_12 = e0)
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (4039) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |   (4040)   ~ (all_52_3 = e0)
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | |   (4041)  all_56_0 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (4041) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | |   (4042)  all_6_2 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4032), (4042) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | |   (4043)  $false
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4043) is inconsistent.
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | |   (4044)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3946) gives:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | |   (4045)  all_56_9 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (4045) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | |   (4046)  all_52_12 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4030), (4046) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | |   (4047)  $false
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4047) is inconsistent.
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | |   (4048)  all_56_10 = e0 | all_56_11 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4048) gives:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4049)  all_56_10 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (4049) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4050)  all_52_13 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4050) implies:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4051)  all_52_13 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (189), (4051) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4052)   ~ (all_52_1 = e0)
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (411), (413), (4007), (4040), (4044),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (4052) are inconsistent by sub-proof #917.
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4053)  all_56_11 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (4011), (4053) are inconsistent by
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #873.
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | |   (4054)   ~ (all_56_4 = e0)
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (429), (4054) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | |   (4055)   ~ (all_52_8 = e0)
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |   (4056)  all_56_0 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (61), (154),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (164), (165), (167), (169),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |            (177), (178), (179), (183), (185), (188), (189),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |            (190), (192), (193), (203), (208), (212), (237),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |            (242), (246), (247), (270), (274), (275), (278),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |            (279), (280), (282), (287), (291), (294), (295),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |            (330), (331), (333), (334), (335), (341), (347),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |            (348), (351), (356), (371), (374), (377), (386),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |            (389), (390), (395), (396), (407), (411), (413),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |            (429), (431), (435), (439), (441), (446), (451),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |            (453), (463), (531), (533), (534), (535), (536),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |            (537), (538), (539), (540), (541), (542), (548),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |            (550), (554), (555), (558), (562), (564), (566),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |            (569), (574), (576), (577), (578), (619), (626),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |            (633), (3945), (3946), (3953), (3956), (3980),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |            (4004), (4006), (4011), (4015), (4056),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |            #144.
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | |   (4057)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4057) gives:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | |   (4058)  all_56_1 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (4058) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | |   (4059)  all_52_4 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4008), (4059) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | |   (4060)  $false
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4060) is inconsistent.
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | |   (4061)  all_56_4 = e0 | all_56_9 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4061) gives:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | |   (4062)  all_56_4 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (4062) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | |   (4063)  all_52_8 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4055), (4063) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | |   (4064)  $false
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4064) is inconsistent.
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | |   (4065)  all_56_9 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (4065) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | |   (4066)  all_52_12 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4066) implies:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | |   (4067)  all_52_12 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (4067) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | |   (4068)  all_58_28 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (4067) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | |   (4069)   ~ (all_14_2 = e0)
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4070)  all_56_2 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (4070) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4071)  all_52_1 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (4071) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4072)  all_58_17 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (193), (4071) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4073)   ~ (all_52_2 = e0)
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (4071) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4074)   ~ (all_52_3 = e0)
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4074) implies:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4075)   ~ (all_52_3 = e0)
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (189), (4071) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4076)   ~ (all_52_13 = e0)
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4076) implies:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4077)   ~ (all_52_13 = e0)
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (4071) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4078)   ~ (all_6_2 = e0)
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4078) implies:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4079)   ~ (all_6_2 = e0)
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (211), (4071) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4080)  op(e2, e3) = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3945) gives:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4081)  all_56_12 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (4075), (4081) are inconsistent by
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #919.
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4082)  all_56_13 = e0 | all_56_14 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4082) gives:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4083)  all_56_13 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (348), (3980), (4083) are inconsistent by
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #942.
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4084)  all_56_14 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (4084) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4085)  all_52_11 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4085) implies:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4086)  all_52_11 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (4086) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4087)  all_58_27 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (4086) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4088)   ~ (all_52_9 = e0)
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4089)  all_54_6 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (4089) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4090)  all_52_9 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4088), (4090) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4091)  $false
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4091) is inconsistent.
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4092)   ~ (all_54_6 = e0)
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4093)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4094)  all_54_7 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (4094) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4095)  all_52_13 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4077), (4095) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4096)  $false
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4096) is inconsistent.
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4097)   ~ (all_54_7 = e0)
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4098)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4099)  all_54_12 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (465), (4075), (4099) are inconsistent by
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #559.
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4100)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (52), (53), (154), (161),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (164), (177), (178), (185), (188), (213), (237),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (246), (247), (248), (275), (279), (286), (291),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (294), (331), (333), (334), (335), (356), (371),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (374), (377), (386), (396), (407), (413), (429),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (446), (451), (453), (455), (462), (463), (465),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (530), (531), (532), (536), (537), (538), (539),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (540), (541), (542), (546), (548), (550), (552),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (556), (558), (564), (566), (569), (574), (620),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (626), (3936), (3938), (3947), (3950), (3953),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3980), (4006), (4007), (4008), (4011), (4018),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4023), (4055), (4065), (4068), (4072), (4075),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4077), (4079), (4080), (4087), (4088), (4093),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4098), (4100), (function-axioms) are inconsistent
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #142.
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4101)   ~ (all_56_2 = e0)
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (411), (4101) imply:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4102)   ~ (all_52_1 = e0)
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (37), (41),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (42), (51), (52), (53), (61), (154), (156), (157),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (161), (162), (164), (165), (167), (169), (170),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (172), (177), (178), (179), (180), (183), (184),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (185), (187), (188), (189), (190), (192), (193),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (203), (204), (207), (208), (209), (211), (212),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (213), (214), (233), (234), (235), (236), (237),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (239), (240), (241), (242), (243), (244), (245),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (246), (247), (248), (267), (268), (269), (270),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (271), (272), (273), (274), (275), (276), (277),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (278), (279), (280), (281), (282), (284), (285),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (286), (287), (289), (290), (291), (292), (293),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (294), (295), (330), (331), (332), (333), (334),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (335), (341), (347), (348), (351), (356), (368),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (371), (374), (377), (386), (389), (390), (395),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (396), (407), (411), (413), (425), (429), (431),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (435), (439), (441), (446), (448), (451), (453),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (455), (456), (460), (462), (463), (465), (466),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (468), (521), (530), (531), (532), (533), (534),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (540), (541),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (542), (544), (546), (548), (550), (552), (554),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (555), (556), (558), (560), (562), (564), (566),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (567), (568), (569), (570), (572), (574), (576),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (577), (578), (619), (620), (621), (622), (623),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (624), (625), (626), (627), (628), (629), (630),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (631), (632), (633), (684), (770), (2998), (3000),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (3003), (3004), (3934), (3936), (3938), (3945),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (3946), (3947), (3950), (3953), (4102),
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            #191.
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | |   (4103)  all_56_13 = e0
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (348), (3980), (4103) are inconsistent by
% 167.78/25.10  | | | | | | | | | | | | | | | | | | |            sub-proof #942.
% 167.78/25.10  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.10  | | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | | End of split
% 167.78/25.10  | | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | | End of split
% 167.78/25.10  | | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | | End of split
% 167.78/25.10  | | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | | End of split
% 167.78/25.10  | | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | | End of split
% 167.78/25.10  | | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | | End of split
% 167.78/25.10  | | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | | End of split
% 167.78/25.10  | | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | End of split
% 167.78/25.10  | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | Case 2:
% 167.78/25.10  | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | |   (4104)  all_24_2 = e0
% 167.78/25.10  | | | | | | | | | |   (4105)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3)
% 167.78/25.10  | | | | | | | | | | 
% 167.78/25.10  | | | | | | | | | | COMBINE_EQS: (510), (4104) imply:
% 167.78/25.10  | | | | | | | | | |   (4106)  all_4_2 = e0
% 167.78/25.10  | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (38), (42),
% 167.78/25.11  | | | | | | | | | |            (43), (61), (62), (63), (126), (131), (154),
% 167.78/25.11  | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 167.78/25.11  | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 167.78/25.11  | | | | | | | | | |            (183), (184), (185), (187), (188), (189), (190),
% 167.78/25.11  | | | | | | | | | |            (192), (193), (202), (203), (204), (207), (208),
% 167.78/25.11  | | | | | | | | | |            (209), (212), (234), (235), (236), (237), (238),
% 167.78/25.11  | | | | | | | | | |            (239), (240), (241), (242), (244), (245), (246),
% 167.78/25.11  | | | | | | | | | |            (247), (248), (266), (267), (269), (270), (271),
% 167.78/25.11  | | | | | | | | | |            (272), (273), (275), (276), (277), (278), (279),
% 167.78/25.11  | | | | | | | | | |            (280), (283), (284), (286), (287), (288), (289),
% 167.78/25.11  | | | | | | | | | |            (290), (291), (292), (293), (294), (295), (330),
% 167.78/25.11  | | | | | | | | | |            (331), (332), (333), (334), (335), (347), (348),
% 167.78/25.11  | | | | | | | | | |            (351), (356), (368), (371), (374), (377), (386),
% 167.78/25.11  | | | | | | | | | |            (389), (390), (395), (396), (407), (411), (413),
% 167.78/25.11  | | | | | | | | | |            (425), (429), (431), (435), (439), (441), (446),
% 167.78/25.11  | | | | | | | | | |            (448), (451), (453), (455), (456), (460), (462),
% 167.78/25.11  | | | | | | | | | |            (463), (465), (466), (468), (494), (496), (530),
% 167.78/25.11  | | | | | | | | | |            (532), (533), (534), (535), (536), (537), (538),
% 167.78/25.11  | | | | | | | | | |            (539), (540), (541), (542), (544), (546), (548),
% 167.78/25.11  | | | | | | | | | |            (550), (552), (554), (555), (556), (557), (558),
% 167.78/25.11  | | | | | | | | | |            (560), (562), (564), (567), (568), (569), (570),
% 167.78/25.11  | | | | | | | | | |            (572), (574), (575), (576), (577), (578), (619),
% 167.78/25.11  | | | | | | | | | |            (621), (622), (624), (627), (630), (631), (633),
% 167.78/25.11  | | | | | | | | | |            (634), (674), (688), (740), (755), (3004), (3005),
% 167.78/25.11  | | | | | | | | | |            (4105), (4106), (function-axioms) are inconsistent
% 167.78/25.11  | | | | | | | | | |            by sub-proof #438.
% 167.78/25.11  | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | End of split
% 167.78/25.11  | | | | | | | | | 
% 167.78/25.11  | | | | | | | | Case 2:
% 167.78/25.11  | | | | | | | | | 
% 167.78/25.11  | | | | | | | | |   (4107)  all_22_0 = e0
% 167.78/25.11  | | | | | | | | |   (4108)   ~ (all_22_1 = e2) |  ~ (all_22_2 = e3)
% 167.78/25.11  | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | COMBINE_EQS: (723), (4107) imply:
% 167.78/25.11  | | | | | | | | |   (4109)  all_10_0 = e0
% 167.78/25.11  | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | COMBINE_EQS: (768), (4109) imply:
% 167.78/25.11  | | | | | | | | |   (4110)  all_38_0 = e0
% 167.78/25.11  | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | REDUCE: (53), (4109) imply:
% 167.78/25.11  | | | | | | | | |   (4111)  op(all_10_1, all_10_2) = e0
% 167.78/25.11  | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | BETA: splitting (89) gives:
% 167.78/25.11  | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | Case 1:
% 167.78/25.11  | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | |   (4112)   ~ (all_24_2 = e0)
% 167.78/25.11  | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | REDUCE: (510), (4112) imply:
% 167.78/25.11  | | | | | | | | | |   (4113)   ~ (all_4_2 = e0)
% 167.78/25.11  | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | BETA: splitting (99) gives:
% 167.78/25.11  | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | Case 1:
% 167.78/25.11  | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | |   (4114)   ~ (all_28_1 = e1)
% 167.78/25.11  | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | REDUCE: (3930), (4114) imply:
% 167.78/25.11  | | | | | | | | | | |   (4115)  $false
% 167.78/25.11  | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | CLOSE: (4115) is inconsistent.
% 167.78/25.11  | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | Case 2:
% 167.78/25.11  | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | |   (4116)   ~ (all_28_0 = e2) |  ~ (all_28_2 = e3)
% 167.78/25.11  | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | BETA: splitting (121) gives:
% 167.78/25.11  | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | Case 1:
% 167.78/25.11  | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | |   (4117)   ~ (all_38_0 = e0)
% 167.78/25.11  | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | REDUCE: (4110), (4117) imply:
% 167.78/25.11  | | | | | | | | | | | |   (4118)  $false
% 167.78/25.11  | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | CLOSE: (4118) is inconsistent.
% 167.78/25.11  | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | Case 2:
% 167.78/25.11  | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | |   (4119)   ~ (all_38_1 = e3) |  ~ (all_38_2 = e2)
% 167.78/25.11  | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | BETA: splitting (266) gives:
% 167.78/25.11  | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | Case 1:
% 167.78/25.11  | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | |   (4120)  all_56_15 = e0
% 167.78/25.11  | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | REF_CLOSE: (4), (61), (533), (634), (3932), (4120),
% 167.78/25.11  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 167.78/25.11  | | | | | | | | | | | | |            #437.
% 167.78/25.11  | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | Case 2:
% 167.78/25.11  | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | |   (4121)   ~ (all_56_15 = e0)
% 167.78/25.11  | | | | | | | | | | | | |   (4122)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 167.78/25.11  | | | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 167.78/25.11  | | | | | | | | | | | | |             e0)
% 167.78/25.11  | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | ALPHA: (4122) implies:
% 167.78/25.11  | | | | | | | | | | | | |   (4123)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 167.78/25.11  | | | | | | | | | | | | |   (4124)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 167.78/25.11  | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | REDUCE: (533), (4121) imply:
% 167.78/25.11  | | | | | | | | | | | | |   (4125)   ~ (all_14_2 = e0)
% 167.78/25.11  | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | BETA: splitting (238) gives:
% 167.78/25.11  | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | Case 1:
% 167.78/25.11  | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | |   (4126)  all_54_10 = e0
% 167.78/25.11  | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | COMBINE_EQS: (530), (4126) imply:
% 167.78/25.11  | | | | | | | | | | | | | |   (4127)  all_10_2 = e0
% 167.78/25.11  | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | REDUCE: (3004), (4127) imply:
% 167.78/25.11  | | | | | | | | | | | | | |   (4128)  $false
% 167.78/25.11  | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | CLOSE: (4128) is inconsistent.
% 167.78/25.11  | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | Case 2:
% 167.78/25.11  | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | |   (4129)   ~ (all_54_10 = e0)
% 167.78/25.11  | | | | | | | | | | | | | |   (4130)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 167.78/25.11  | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 167.78/25.11  | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | Case 1:
% 167.78/25.11  | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | |   (4131)  all_54_5 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | REF_CLOSE: (531), (4113), (4131) are inconsistent by
% 167.78/25.11  | | | | | | | | | | | | | | |            sub-proof #983.
% 167.78/25.11  | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | Case 2:
% 167.78/25.11  | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | |   (4132)   ~ (all_54_5 = e0)
% 167.78/25.11  | | | | | | | | | | | | | | |   (4133)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 167.78/25.11  | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 167.78/25.11  | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | Case 1:
% 167.78/25.11  | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | |   (4134)  all_54_15 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | COMBINE_EQS: (341), (4134) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | |   (4135)  all_14_2 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | REDUCE: (4125), (4135) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | |   (4136)  $false
% 167.78/25.11  | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | CLOSE: (4136) is inconsistent.
% 167.78/25.11  | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | Case 2:
% 167.78/25.11  | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | |   (4137)   ~ (all_54_15 = e0)
% 167.78/25.11  | | | | | | | | | | | | | | | |   (4138)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 167.78/25.11  | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 167.78/25.11  | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.11  | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | |   (4139)  all_54_3 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (4139) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | |   (4140)  all_52_12 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | SIMP: (4140) implies:
% 167.78/25.11  | | | | | | | | | | | | | | | | |   (4141)  all_52_12 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (4141) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | |   (4142)  all_56_9 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (4141) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | |   (4143)  all_58_28 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | REDUCE: (164), (4141) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | |   (4144)   ~ (all_52_8 = e0)
% 167.78/25.11  | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | REDUCE: (156), (4141) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | |   (4145)   ~ (all_52_14 = e0)
% 167.78/25.11  | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | SIMP: (4145) implies:
% 167.78/25.11  | | | | | | | | | | | | | | | | |   (4146)   ~ (all_52_14 = e0)
% 167.78/25.11  | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | REDUCE: (576), (4141) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | |   (4147)   ~ (all_14_2 = e0)
% 167.78/25.11  | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 167.78/25.11  | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | |   (4148)  all_56_2 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (4148) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | | |   (4149)  all_52_1 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (4149) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | | |   (4150)  all_58_17 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | REDUCE: (193), (4149) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | | |   (4151)   ~ (all_52_2 = e0)
% 167.78/25.11  | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | SIMP: (4151) implies:
% 167.78/25.11  | | | | | | | | | | | | | | | | | |   (4152)   ~ (all_52_2 = e0)
% 167.78/25.11  | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | REDUCE: (190), (4149) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | | |   (4153)   ~ (all_52_9 = e0)
% 167.78/25.11  | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | SIMP: (4153) implies:
% 167.78/25.11  | | | | | | | | | | | | | | | | | |   (4154)   ~ (all_52_9 = e0)
% 167.78/25.11  | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | REDUCE: (189), (4149) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | | |   (4155)   ~ (all_52_13 = e0)
% 167.78/25.11  | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | SIMP: (4155) implies:
% 167.78/25.11  | | | | | | | | | | | | | | | | | |   (4156)   ~ (all_52_13 = e0)
% 167.78/25.11  | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | REDUCE: (544), (4149) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | | |   (4157)   ~ (all_6_2 = e0)
% 167.78/25.11  | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | SIMP: (4157) implies:
% 167.78/25.11  | | | | | | | | | | | | | | | | | |   (4158)   ~ (all_6_2 = e0)
% 167.78/25.11  | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | |   (4159)  all_56_6 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (4159) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | |   (4160)  all_52_2 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | REDUCE: (4152), (4160) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | |   (4161)  $false
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | CLOSE: (4161) is inconsistent.
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | |   (4162)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | |   (4163)  all_56_4 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (4163) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | |   (4164)  all_52_8 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | REDUCE: (4144), (4164) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | |   (4165)  $false
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | CLOSE: (4165) is inconsistent.
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | |   (4166)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | BETA: splitting (4166) gives:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | |   (4167)  all_56_5 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (4167) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | |   (4168)  all_52_9 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | REDUCE: (4154), (4168) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | |   (4169)  $false
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | CLOSE: (4169) is inconsistent.
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | |   (4170)  all_56_8 = e0 | all_56_14 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4162) gives:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | |   (4171)  all_56_7 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (4171) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | |   (4172)  all_52_6 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (368), (4172) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | |   (4173)  all_58_22 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (180), (4172) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | |   (4174)   ~ (all_52_4 = e0)
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (567), (4172) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | |   (4175)   ~ (all_10_2 = e0)
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (560), (4172) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | |   (4176)   ~ (all_4_2 = e0)
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4170) gives:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | |   (4177)  all_56_8 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (4177) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | |   (4178)  all_10_2 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3004), (4178) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | |   (4179)  $false
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4179) is inconsistent.
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | |   (4180)  all_56_14 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (4180) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | |   (4181)  all_52_11 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4181) implies:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | |   (4182)  all_52_11 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (4182) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | |   (4183)  all_58_27 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (183), (4182) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | |   (4184)   ~ (all_52_3 = e0)
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (4182) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | |   (4185)   ~ (all_52_7 = e0)
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | |   (4186)  all_54_1 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (4174), (4186) are inconsistent by
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #866.
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | |   (4187)   ~ (all_54_1 = e0)
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | |   (4188)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (4189)  all_54_11 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (4189) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (4190)  all_52_14 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4146), (4190) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (4191)  $false
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4191) is inconsistent.
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (4192)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4193)  all_54_13 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (466), (4185), (4193) are inconsistent by
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #800.
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4194)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (9), (52), (154), (161), (164),
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            (177), (178), (179), (185), (188), (213), (236),
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            (242), (246), (248), (270), (272), (287), (291),
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            (293), (294), (295), (296), (331), (333), (334),
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            (335), (351), (356), (371), (374), (377), (386),
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            (396), (407), (413), (429), (439), (441), (446),
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            (451), (453), (463), (465), (466), (511), (530),
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            (531), (532), (533), (536), (537), (538), (539),
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            (540), (541), (542), (546), (548), (550), (552),
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            (556), (557), (558), (562), (564), (566), (568),
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            (569), (574), (620), (676), (4108), (4113),
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            (4125), (4130), (4133), (4142), (4143), (4144),
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            (4148), (4150), (4152), (4154), (4156), (4158),
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            (4173), (4174), (4183), (4184), (4185), (4188),
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            (4192), (4194), (function-axioms) are inconsistent
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #141.
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | |   (4195)  all_56_8 = e0 | all_56_11 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (534), (3004), (4146), (4195) are
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #912.
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.11  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.11  | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | |   (4196)   ~ (all_56_2 = e0)
% 167.78/25.11  | | | | | | | | | | | | | | | | | |   (4197)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (41), (42),
% 167.78/25.11  | | | | | | | | | | | | | | | | | |            (51), (52), (61), (154), (156), (157), (161),
% 167.78/25.11  | | | | | | | | | | | | | | | | | |            (162), (164), (165), (167), (169), (170), (172),
% 167.78/25.11  | | | | | | | | | | | | | | | | | |            (177), (178), (179), (180), (183), (184), (185),
% 167.78/25.11  | | | | | | | | | | | | | | | | | |            (187), (188), (189), (190), (192), (193), (203),
% 167.78/25.11  | | | | | | | | | | | | | | | | | |            (204), (207), (208), (209), (211), (212), (213),
% 167.78/25.11  | | | | | | | | | | | | | | | | | |            (214), (233), (234), (235), (236), (237), (239),
% 167.78/25.11  | | | | | | | | | | | | | | | | | |            (240), (241), (242), (243), (244), (245), (246),
% 167.78/25.11  | | | | | | | | | | | | | | | | | |            (247), (248), (267), (268), (269), (270), (271),
% 167.78/25.11  | | | | | | | | | | | | | | | | | |            (272), (273), (274), (275), (276), (277), (278),
% 167.78/25.11  | | | | | | | | | | | | | | | | | |            (279), (280), (281), (282), (284), (285), (286),
% 167.78/25.11  | | | | | | | | | | | | | | | | | |            (287), (289), (290), (291), (292), (293), (294),
% 167.78/25.11  | | | | | | | | | | | | | | | | | |            (295), (330), (331), (332), (333), (334), (335),
% 167.78/25.11  | | | | | | | | | | | | | | | | | |            (341), (347), (348), (351), (356), (358), (368),
% 167.78/25.11  | | | | | | | | | | | | | | | | | |            (371), (374), (377), (386), (389), (390), (395),
% 167.78/25.11  | | | | | | | | | | | | | | | | | |            (396), (407), (411), (413), (425), (429), (431),
% 167.78/25.11  | | | | | | | | | | | | | | | | | |            (435), (439), (441), (446), (448), (451), (453),
% 167.78/25.11  | | | | | | | | | | | | | | | | | |            (455), (456), (460), (462), (463), (465), (466),
% 167.78/25.11  | | | | | | | | | | | | | | | | | |            (468), (521), (530), (531), (532), (533), (534),
% 167.78/25.11  | | | | | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (540), (541),
% 167.78/25.11  | | | | | | | | | | | | | | | | | |            (542), (544), (546), (548), (550), (552), (554),
% 167.78/25.11  | | | | | | | | | | | | | | | | | |            (555), (556), (558), (560), (562), (564), (566),
% 167.78/25.11  | | | | | | | | | | | | | | | | | |            (567), (568), (569), (570), (572), (574), (576),
% 167.78/25.11  | | | | | | | | | | | | | | | | | |            (577), (578), (619), (620), (623), (625), (626),
% 167.78/25.11  | | | | | | | | | | | | | | | | | |            (628), (629), (630), (631), (632), (633), (684),
% 167.78/25.11  | | | | | | | | | | | | | | | | | |            (687), (770), (2998), (3000), (3003), (3004),
% 167.78/25.11  | | | | | | | | | | | | | | | | | |            (3934), (4113), (4119), (4123), (4124), (4125),
% 167.78/25.11  | | | | | | | | | | | | | | | | | |            (4130), (4133), (4196), (4197), (function-axioms)
% 167.78/25.11  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #179.
% 167.78/25.11  | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | End of split
% 167.78/25.11  | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.11  | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | |   (4198)   ~ (all_54_3 = e0)
% 167.78/25.11  | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | REDUCE: (460), (4198) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | |   (4199)   ~ (all_52_12 = e0)
% 167.78/25.11  | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 167.78/25.11  | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.11  | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | |   (4200)  all_54_1 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (4200) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | | |   (4201)  all_52_4 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | SIMP: (4201) implies:
% 167.78/25.11  | | | | | | | | | | | | | | | | | |   (4202)  all_52_4 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (4202) imply:
% 167.78/25.11  | | | | | | | | | | | | | | | | | |   (4203)  all_56_1 = e0
% 167.78/25.11  | | | | | | | | | | | | | | | | | | 
% 167.78/25.11  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (4202) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | |   (4204)  all_58_20 = e0
% 167.78/25.12  | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | REDUCE: (180), (4202) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | |   (4205)   ~ (all_52_6 = e0)
% 167.78/25.12  | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | SIMP: (4205) implies:
% 167.78/25.12  | | | | | | | | | | | | | | | | | |   (4206)   ~ (all_52_6 = e0)
% 167.78/25.12  | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | REDUCE: (179), (4202) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | |   (4207)   ~ (all_52_7 = e0)
% 167.78/25.12  | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | SIMP: (4207) implies:
% 167.78/25.12  | | | | | | | | | | | | | | | | | |   (4208)   ~ (all_52_7 = e0)
% 167.78/25.12  | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | REDUCE: (550), (4202) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | |   (4209)   ~ (all_6_2 = e0)
% 167.78/25.12  | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | SIMP: (4209) implies:
% 167.78/25.12  | | | | | | | | | | | | | | | | | |   (4210)   ~ (all_6_2 = e0)
% 167.78/25.12  | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | REDUCE: (558), (4202) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | |   (4211)   ~ (all_4_2 = e0)
% 167.78/25.12  | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | REDUCE: (214), (4202) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | |   (4212)  op(e3, e2) = e0
% 167.78/25.12  | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (37), (42),
% 167.78/25.12  | | | | | | | | | | | | | | | | | |            (51), (52), (154), (156), (157), (161), (162),
% 167.78/25.12  | | | | | | | | | | | | | | | | | |            (164), (165), (167), (169), (170), (172), (177),
% 167.78/25.12  | | | | | | | | | | | | | | | | | |            (178), (179), (180), (183), (185), (187), (188),
% 167.78/25.12  | | | | | | | | | | | | | | | | | |            (189), (190), (192), (193), (203), (204), (207),
% 167.78/25.12  | | | | | | | | | | | | | | | | | |            (209), (211), (213), (214), (234), (235), (236),
% 167.78/25.12  | | | | | | | | | | | | | | | | | |            (239), (240), (242), (243), (244), (247), (248),
% 167.78/25.12  | | | | | | | | | | | | | | | | | |            (267), (268), (269), (270), (273), (274), (275),
% 167.78/25.12  | | | | | | | | | | | | | | | | | |            (277), (278), (280), (281), (282), (284), (285),
% 167.78/25.12  | | | | | | | | | | | | | | | | | |            (289), (290), (291), (292), (293), (294), (295),
% 167.78/25.12  | | | | | | | | | | | | | | | | | |            (330), (331), (332), (333), (334), (335), (347),
% 167.78/25.12  | | | | | | | | | | | | | | | | | |            (348), (351), (356), (358), (368), (371), (374),
% 167.78/25.12  | | | | | | | | | | | | | | | | | |            (377), (386), (389), (390), (395), (396), (407),
% 167.78/25.12  | | | | | | | | | | | | | | | | | |            (411), (413), (425), (429), (431), (435), (439),
% 167.78/25.12  | | | | | | | | | | | | | | | | | |            (441), (446), (448), (453), (455), (456), (465),
% 167.78/25.12  | | | | | | | | | | | | | | | | | |            (466), (468), (521), (531), (532), (533), (534),
% 167.78/25.12  | | | | | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (540), (541),
% 167.78/25.12  | | | | | | | | | | | | | | | | | |            (542), (544), (546), (548), (550), (552), (554),
% 167.78/25.12  | | | | | | | | | | | | | | | | | |            (555), (556), (558), (560), (562), (564), (566),
% 167.78/25.12  | | | | | | | | | | | | | | | | | |            (567), (568), (570), (572), (574), (576), (577),
% 167.78/25.12  | | | | | | | | | | | | | | | | | |            (578), (621), (623), (624), (629), (630), (631),
% 167.78/25.12  | | | | | | | | | | | | | | | | | |            (684), (687), (770), (2998), (3003), (3004),
% 167.78/25.12  | | | | | | | | | | | | | | | | | |            (3934), (4111), (4113), (4119), (4123), (4124),
% 167.78/25.12  | | | | | | | | | | | | | | | | | |            (4133), (4203), (4204), (4206), (4208), (4210),
% 167.78/25.12  | | | | | | | | | | | | | | | | | |            (4212), (function-axioms) are inconsistent by
% 167.78/25.12  | | | | | | | | | | | | | | | | | |            sub-proof #139.
% 167.78/25.12  | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | |   (4213)   ~ (all_54_1 = e0)
% 167.78/25.12  | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | REDUCE: (446), (4213) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | |   (4214)   ~ (all_52_4 = e0)
% 167.78/25.12  | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | |   (4215)  all_56_0 = e0
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (4215) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | |   (4216)  all_6_2 = e0
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (61), (154),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | |            (183), (184), (185), (187), (188), (189), (190),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | |            (192), (193), (203), (204), (208), (212), (233),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | |            (234), (237), (239), (241), (242), (243), (244),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | |            (245), (246), (247), (266), (270), (273), (274),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | |            (275), (276), (277), (278), (279), (280), (281),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | |            (282), (284), (286), (287), (291), (293), (294),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | |            (295), (330), (331), (332), (333), (334), (335),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | |            (341), (347), (348), (351), (356), (368), (371),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | |            (374), (377), (386), (389), (390), (395), (396),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | |            (407), (411), (413), (425), (429), (431), (435),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | |            (439), (441), (446), (448), (451), (453), (456),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | |            (460), (462), (463), (468), (531), (533), (534),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (540), (541),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | |            (542), (544), (546), (548), (550), (552), (554),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | |            (555), (556), (558), (560), (562), (564), (567),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | |            (569), (570), (572), (574), (576), (577), (578),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | |            (619), (625), (626), (628), (630), (632), (633),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | |            (634), (3004), (3932), (4113), (4216),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 167.78/25.12  | | | | | | | | | | | | | | | | | | |            #401.
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | |   (4217)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | BETA: splitting (4217) gives:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | |   (4218)  all_56_1 = e0
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (4218) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | |   (4219)  all_52_4 = e0
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | REDUCE: (4214), (4219) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | |   (4220)  $false
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | CLOSE: (4220) is inconsistent.
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | |   (4221)  all_56_4 = e0 | all_56_9 = e0
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | BETA: splitting (4221) gives:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | |   (4222)  all_56_4 = e0
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (4222) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | |   (4223)  all_52_8 = e0
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (4223) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | |   (4224)  all_58_24 = e0
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (4223) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | |   (4225)   ~ (all_52_11 = e0)
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | SIMP: (4225) implies:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | |   (4226)   ~ (all_52_11 = e0)
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (4223) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | |   (4227)   ~ (all_52_12 = e0)
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | REDUCE: (569), (4223) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | |   (4228)   ~ (all_10_2 = e0)
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | REDUCE: (621), (4223) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | |   (4229)  op(e3, e0) = all_58_2
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | |              all_58_2, e0, e3, simplifying with (212), (4229)
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | |              gives:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | |   (4230)  all_58_2 = all_52_12
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |   (4231)  all_56_2 = e0
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (4231) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |   (4232)  all_52_1 = e0
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (4232) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |   (4233)  all_58_17 = e0
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (4232) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |   (4234)   ~ (all_52_3 = e0)
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | SIMP: (4234) implies:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |   (4235)   ~ (all_52_3 = e0)
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (4232) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |   (4236)   ~ (all_52_9 = e0)
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | SIMP: (4236) implies:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |   (4237)   ~ (all_52_9 = e0)
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (189), (4232) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |   (4238)   ~ (all_52_13 = e0)
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | SIMP: (4238) implies:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |   (4239)   ~ (all_52_13 = e0)
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (4232) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |   (4240)   ~ (all_6_2 = e0)
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | SIMP: (4240) implies:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |   (4241)   ~ (all_6_2 = e0)
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4124) gives:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | |   (4242)  all_56_9 = e0
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (4242) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | |   (4243)  all_52_12 = e0
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4199), (4243) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | |   (4244)  $false
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4244) is inconsistent.
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | |   (4245)  all_56_10 = e0 | all_56_11 = e0
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4245) gives:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | |   (4246)  all_56_10 = e0
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (4246) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | |   (4247)  all_52_13 = e0
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4239), (4247) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | |   (4248)  $false
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4248) is inconsistent.
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | |   (4249)  all_56_11 = e0
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (4249) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | |   (4250)  all_52_14 = e0
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (356), (4250) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | |   (4251)  all_58_30 = e0
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (185), (4250) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | |   (4252)   ~ (all_52_2 = e0)
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (161), (162), (169),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | |            (172), (184), (187), (188), (207), (236), (239),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | |            (248), (276), (278), (291), (293), (295), (331),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | |            (332), (334), (335), (341), (347), (348), (351),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | |            (371), (374), (377), (386), (407), (413), (425),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | |            (431), (435), (456), (465), (523), (532), (534),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | |            (536), (537), (538), (539), (540), (542), (546),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | |            (548), (554), (556), (557), (564), (567), (568),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | |            (572), (577), (628), (766), (3931), (4116),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | |            (4123), (4138), (4222), (4224), (4226), (4231),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | |            (4233), (4235), (4237), (4239), (4241), (4251),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | |            (4252), (function-axioms) are inconsistent by
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #149.
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |   (4253)   ~ (all_56_2 = e0)
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |   (4254)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (41), (42),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |            (51), (52), (61), (154), (156), (157), (161),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |            (162), (164), (165), (167), (169), (170), (172),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |            (177), (178), (179), (180), (183), (184), (185),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |            (187), (188), (189), (190), (192), (193), (203),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |            (204), (207), (208), (209), (211), (212), (213),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |            (214), (233), (234), (235), (236), (237), (239),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |            (240), (241), (242), (243), (244), (245), (246),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |            (247), (248), (267), (268), (269), (270), (271),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |            (272), (273), (274), (275), (276), (277), (278),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |            (279), (280), (281), (282), (284), (285), (286),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |            (287), (289), (290), (291), (292), (293), (294),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |            (295), (330), (331), (332), (333), (334), (335),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |            (341), (347), (348), (351), (356), (358), (368),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |            (371), (374), (377), (386), (389), (390), (395),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |            (396), (407), (411), (413), (425), (429), (431),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |            (435), (439), (441), (446), (448), (451), (453),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |            (455), (456), (460), (462), (463), (465), (466),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |            (468), (521), (530), (531), (532), (533), (534),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (540), (541),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |            (542), (544), (546), (548), (550), (552), (554),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |            (555), (556), (558), (560), (562), (564), (566),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |            (567), (568), (569), (570), (572), (574), (576),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |            (577), (578), (619), (620), (623), (625), (626),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |            (628), (629), (630), (631), (632), (633), (684),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |            (687), (770), (2998), (3000), (3003), (3004),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |            (3934), (4113), (4119), (4123), (4124), (4125),
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |            (4130), (4133), (4253), (4254), (function-axioms)
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #179.
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | |   (4255)  all_56_9 = e0
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (4255) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | |   (4256)  all_52_12 = e0
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | REDUCE: (4199), (4256) imply:
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | |   (4257)  $false
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | CLOSE: (4257) is inconsistent.
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.12  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.12  | | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | | End of split
% 167.78/25.12  | | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | | End of split
% 167.78/25.12  | | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | | End of split
% 167.78/25.12  | | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | | End of split
% 167.78/25.12  | | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | | End of split
% 167.78/25.12  | | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | | End of split
% 167.78/25.12  | | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | | End of split
% 167.78/25.12  | | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | End of split
% 167.78/25.12  | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | Case 2:
% 167.78/25.12  | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | |   (4258)  all_24_2 = e0
% 167.78/25.12  | | | | | | | | | |   (4259)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3)
% 167.78/25.12  | | | | | | | | | | 
% 167.78/25.12  | | | | | | | | | | COMBINE_EQS: (510), (4258) imply:
% 167.78/25.12  | | | | | | | | | |   (4260)  all_4_2 = e0
% 167.78/25.12  | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (38), (42),
% 167.78/25.13  | | | | | | | | | |            (43), (61), (62), (63), (126), (131), (154),
% 167.78/25.13  | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 167.78/25.13  | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 167.78/25.13  | | | | | | | | | |            (183), (184), (185), (187), (188), (189), (190),
% 167.78/25.13  | | | | | | | | | |            (192), (193), (202), (203), (204), (207), (208),
% 167.78/25.13  | | | | | | | | | |            (209), (212), (234), (235), (236), (237), (238),
% 167.78/25.13  | | | | | | | | | |            (239), (240), (241), (242), (244), (245), (246),
% 167.78/25.13  | | | | | | | | | |            (247), (248), (266), (267), (269), (270), (271),
% 167.78/25.13  | | | | | | | | | |            (272), (273), (275), (276), (277), (278), (279),
% 167.78/25.13  | | | | | | | | | |            (280), (283), (284), (286), (287), (288), (289),
% 167.78/25.13  | | | | | | | | | |            (290), (291), (292), (293), (294), (295), (330),
% 167.78/25.13  | | | | | | | | | |            (331), (332), (333), (334), (335), (347), (348),
% 167.78/25.13  | | | | | | | | | |            (351), (356), (368), (371), (374), (377), (386),
% 167.78/25.13  | | | | | | | | | |            (389), (390), (395), (396), (407), (411), (413),
% 167.78/25.13  | | | | | | | | | |            (425), (429), (431), (435), (439), (441), (446),
% 167.78/25.13  | | | | | | | | | |            (448), (451), (453), (455), (456), (460), (462),
% 167.78/25.13  | | | | | | | | | |            (463), (465), (466), (468), (494), (496), (530),
% 167.78/25.13  | | | | | | | | | |            (532), (533), (534), (535), (536), (537), (538),
% 167.78/25.13  | | | | | | | | | |            (539), (540), (541), (542), (544), (546), (548),
% 167.78/25.13  | | | | | | | | | |            (550), (552), (554), (555), (556), (557), (558),
% 167.78/25.13  | | | | | | | | | |            (560), (562), (564), (567), (568), (569), (570),
% 167.78/25.13  | | | | | | | | | |            (572), (574), (575), (576), (577), (578), (619),
% 167.78/25.13  | | | | | | | | | |            (621), (622), (624), (627), (630), (631), (633),
% 167.78/25.13  | | | | | | | | | |            (634), (674), (688), (740), (755), (3004), (3005),
% 167.78/25.13  | | | | | | | | | |            (4259), (4260), (function-axioms) are inconsistent
% 167.78/25.13  | | | | | | | | | |            by sub-proof #438.
% 167.78/25.13  | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | End of split
% 167.78/25.13  | | | | | | | | | 
% 167.78/25.13  | | | | | | | | End of split
% 167.78/25.13  | | | | | | | | 
% 167.78/25.13  | | | | | | | Case 2:
% 167.78/25.13  | | | | | | | | 
% 167.78/25.13  | | | | | | | |   (4261)  all_20_1 = e0
% 167.78/25.13  | | | | | | | | 
% 167.78/25.13  | | | | | | | | COMBINE_EQS: (682), (4261) imply:
% 167.78/25.13  | | | | | | | |   (4262)  all_10_1 = e0
% 167.78/25.13  | | | | | | | | 
% 167.78/25.13  | | | | | | | | COMBINE_EQS: (646), (4262) imply:
% 167.78/25.13  | | | | | | | |   (4263)  all_34_1 = e0
% 167.78/25.13  | | | | | | | | 
% 167.78/25.13  | | | | | | | | REDUCE: (53), (4262) imply:
% 167.78/25.13  | | | | | | | |   (4264)  op(e0, all_10_2) = all_10_0
% 167.78/25.13  | | | | | | | | 
% 167.78/25.13  | | | | | | | | REDUCE: (52), (4262) imply:
% 167.78/25.13  | | | | | | | |   (4265)  op(all_10_2, e1) = e0
% 167.78/25.13  | | | | | | | | 
% 167.78/25.13  | | | | | | | | BETA: splitting (89) gives:
% 167.78/25.13  | | | | | | | | 
% 167.78/25.13  | | | | | | | | Case 1:
% 167.78/25.13  | | | | | | | | | 
% 167.78/25.13  | | | | | | | | |   (4266)   ~ (all_24_2 = e0)
% 167.78/25.13  | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | REDUCE: (510), (4266) imply:
% 167.78/25.13  | | | | | | | | |   (4267)   ~ (all_4_2 = e0)
% 167.78/25.13  | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | BETA: splitting (112) gives:
% 167.78/25.13  | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | Case 1:
% 167.78/25.13  | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | |   (4268)   ~ (all_34_1 = e0)
% 167.78/25.13  | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | REDUCE: (4263), (4268) imply:
% 167.78/25.13  | | | | | | | | | |   (4269)  $false
% 167.78/25.13  | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | CLOSE: (4269) is inconsistent.
% 167.78/25.13  | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | Case 2:
% 167.78/25.13  | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | |   (4270)   ~ (all_34_0 = e2) |  ~ (all_34_2 = e3)
% 167.78/25.13  | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | BETA: splitting (266) gives:
% 167.78/25.13  | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | Case 1:
% 167.78/25.13  | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | |   (4271)  all_56_15 = e0
% 167.78/25.13  | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | REF_CLOSE: (4), (61), (533), (634), (3932), (4271),
% 167.78/25.13  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 167.78/25.13  | | | | | | | | | | |            #437.
% 167.78/25.13  | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | Case 2:
% 167.78/25.13  | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | |   (4272)   ~ (all_56_15 = e0)
% 167.78/25.13  | | | | | | | | | | |   (4273)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 167.78/25.13  | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 167.78/25.13  | | | | | | | | | | |             e0)
% 167.78/25.13  | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | ALPHA: (4273) implies:
% 167.78/25.13  | | | | | | | | | | |   (4274)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 167.78/25.13  | | | | | | | | | | |   (4275)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 167.78/25.13  | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | REDUCE: (533), (4272) imply:
% 167.78/25.13  | | | | | | | | | | |   (4276)   ~ (all_14_2 = e0)
% 167.78/25.13  | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | BETA: splitting (238) gives:
% 167.78/25.13  | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | Case 1:
% 167.78/25.13  | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | |   (4277)  all_54_10 = e0
% 167.78/25.13  | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | REF_CLOSE: (530), (3004), (4277) are inconsistent by
% 167.78/25.13  | | | | | | | | | | | |            sub-proof #909.
% 167.78/25.13  | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | Case 2:
% 167.78/25.13  | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | |   (4278)   ~ (all_54_10 = e0)
% 167.78/25.13  | | | | | | | | | | | |   (4279)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 167.78/25.13  | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | BETA: splitting (243) gives:
% 167.78/25.13  | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | Case 1:
% 167.78/25.13  | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | |   (4280)  all_54_5 = e0
% 167.78/25.13  | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | REF_CLOSE: (531), (4267), (4280) are inconsistent by
% 167.78/25.13  | | | | | | | | | | | | |            sub-proof #983.
% 167.78/25.13  | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | Case 2:
% 167.78/25.13  | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | |   (4281)   ~ (all_54_5 = e0)
% 167.78/25.13  | | | | | | | | | | | | |   (4282)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 167.78/25.13  | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | BETA: splitting (233) gives:
% 167.78/25.13  | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | Case 1:
% 167.78/25.13  | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | |   (4283)  all_54_15 = e0
% 167.78/25.13  | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | REF_CLOSE: (341), (4276), (4283) are inconsistent by
% 167.78/25.13  | | | | | | | | | | | | | |            sub-proof #910.
% 167.78/25.13  | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | Case 2:
% 167.78/25.13  | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | |   (4284)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 167.78/25.13  | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 167.78/25.13  | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | Case 1:
% 167.78/25.13  | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | |   (4285)  all_54_13 = e0
% 167.78/25.13  | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | COMBINE_EQS: (466), (4285) imply:
% 167.78/25.13  | | | | | | | | | | | | | | |   (4286)  all_52_7 = e0
% 167.78/25.13  | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | SIMP: (4286) implies:
% 167.78/25.13  | | | | | | | | | | | | | | |   (4287)  all_52_7 = e0
% 167.78/25.13  | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | COMBINE_EQS: (348), (4287) imply:
% 167.78/25.13  | | | | | | | | | | | | | | |   (4288)  all_56_13 = e0
% 167.78/25.13  | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | COMBINE_EQS: (540), (4287) imply:
% 167.78/25.13  | | | | | | | | | | | | | | |   (4289)  all_58_23 = e0
% 167.78/25.13  | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | REDUCE: (179), (4287) imply:
% 167.78/25.13  | | | | | | | | | | | | | | |   (4290)   ~ (all_52_4 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | REDUCE: (172), (4287) imply:
% 167.78/25.13  | | | | | | | | | | | | | | |   (4291)   ~ (all_52_6 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | REDUCE: (169), (4287) imply:
% 167.78/25.13  | | | | | | | | | | | | | | |   (4292)   ~ (all_52_11 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | SIMP: (4292) implies:
% 167.78/25.13  | | | | | | | | | | | | | | |   (4293)   ~ (all_52_11 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | REDUCE: (562), (4287) imply:
% 167.78/25.13  | | | | | | | | | | | | | | |   (4294)   ~ (all_4_2 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | REDUCE: (632), (4287) imply:
% 167.78/25.13  | | | | | | | | | | | | | | |   (4295)  op(e0, e0) = all_58_13
% 167.78/25.13  | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 167.78/25.13  | | | | | | | | | | | | | | |              all_58_13, e0, e0, simplifying with (61), (4295)
% 167.78/25.13  | | | | | | | | | | | | | | |              gives:
% 167.78/25.13  | | | | | | | | | | | | | | |   (4296)  all_58_13 = all_14_2
% 167.78/25.13  | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 167.78/25.13  | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | Case 1:
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | |   (4297)  all_56_6 = e0
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (4297) imply:
% 167.78/25.13  | | | | | | | | | | | | | | | |   (4298)  all_52_2 = e0
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (4298) imply:
% 167.78/25.13  | | | | | | | | | | | | | | | |   (4299)  all_58_18 = e0
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | REDUCE: (193), (4298) imply:
% 167.78/25.13  | | | | | | | | | | | | | | | |   (4300)   ~ (all_52_1 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | REDUCE: (188), (4298) imply:
% 167.78/25.13  | | | | | | | | | | | | | | | |   (4301)   ~ (all_52_3 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | SIMP: (4301) implies:
% 167.78/25.13  | | | | | | | | | | | | | | | |   (4302)   ~ (all_52_3 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | REDUCE: (187), (4298) imply:
% 167.78/25.13  | | | | | | | | | | | | | | | |   (4303)   ~ (all_52_6 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | REDUCE: (185), (4298) imply:
% 167.78/25.13  | | | | | | | | | | | | | | | |   (4304)   ~ (all_52_14 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | SIMP: (4304) implies:
% 167.78/25.13  | | | | | | | | | | | | | | | |   (4305)   ~ (all_52_14 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | REDUCE: (546), (4298) imply:
% 167.78/25.13  | | | | | | | | | | | | | | | |   (4306)   ~ (all_6_2 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | SIMP: (4306) implies:
% 167.78/25.13  | | | | | | | | | | | | | | | |   (4307)   ~ (all_6_2 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.13  | | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | |   (4308)  all_56_4 = e0
% 167.78/25.13  | | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (4308) imply:
% 167.78/25.13  | | | | | | | | | | | | | | | | |   (4309)  all_52_8 = e0
% 167.78/25.13  | | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (4309) imply:
% 167.78/25.13  | | | | | | | | | | | | | | | | |   (4310)  all_58_24 = e0
% 167.78/25.13  | | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | | REDUCE: (167), (4309) imply:
% 167.78/25.13  | | | | | | | | | | | | | | | | |   (4311)   ~ (all_52_9 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | | SIMP: (4311) implies:
% 167.78/25.13  | | | | | | | | | | | | | | | | |   (4312)   ~ (all_52_9 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | | REDUCE: (569), (4309) imply:
% 167.78/25.13  | | | | | | | | | | | | | | | | |   (4313)   ~ (all_10_2 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (51), (154), (157),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (161), (189), (190), (192), (203), (236), (244),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (248), (267), (269), (281), (293), (295), (331),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (332), (335), (341), (347), (351), (356), (374),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (377), (389), (390), (407), (411), (431), (435),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (439), (441), (448), (465), (504), (530), (532),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (533), (535), (536), (537), (538), (539), (542),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (544), (548), (554), (557), (570), (572), (574),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (575), (577), (578), (629), (634), (767), (3004),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (4264), (4265), (4267), (4270), (4275), (4279),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (4284), (4288), (4293), (4297), (4299), (4300),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (4302), (4307), (4310), (4312), (function-axioms)
% 167.78/25.13  | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #136.
% 167.78/25.13  | | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.13  | | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | |   (4314)   ~ (all_56_4 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | | REDUCE: (429), (4314) imply:
% 167.78/25.13  | | | | | | | | | | | | | | | | |   (4315)   ~ (all_52_8 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (51), (154),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (156), (157), (161), (164), (167), (169), (170),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (172), (177), (178), (179), (180), (184), (185),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (187), (188), (189), (190), (192), (193), (209),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (214), (236), (239), (241), (242), (244), (247),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (248), (271), (272), (273), (276), (278), (280),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (281), (282), (285), (286), (289), (290), (292),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (294), (296), (331), (332), (333), (334), (335),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (347), (348), (351), (356), (368), (371), (374),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (377), (386), (389), (390), (395), (396), (407),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (411), (413), (425), (429), (431), (435), (439),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (441), (446), (448), (453), (456), (462), (465),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (530), (531), (532), (533), (534), (535), (536),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (537), (538), (539), (540), (541), (542), (544),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (546), (548), (550), (552), (554), (555), (558),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (560), (562), (564), (566), (567), (568), (569),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (570), (574), (577), (578), (622), (623), (629),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (770), (4265), (4267), (4274), (4275), (4279),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (4282), (4291), (4297), (4299), (4300), (4302),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (4305), (4307), (4315), (function-axioms) are
% 167.78/25.13  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #159.
% 167.78/25.13  | | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | End of split
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | Case 2:
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | |   (4316)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (51), (154),
% 167.78/25.13  | | | | | | | | | | | | | | | |            (157), (161), (162), (164), (165), (167), (170),
% 167.78/25.13  | | | | | | | | | | | | | | | |            (177), (180), (183), (184), (185), (187), (189),
% 167.78/25.13  | | | | | | | | | | | | | | | |            (190), (192), (193), (203), (204), (208), (212),
% 167.78/25.13  | | | | | | | | | | | | | | | |            (234), (239), (241), (244), (245), (247), (248),
% 167.78/25.13  | | | | | | | | | | | | | | | |            (270), (276), (277), (278), (279), (281), (282),
% 167.78/25.13  | | | | | | | | | | | | | | | |            (284), (285), (286), (287), (289), (291), (293),
% 167.78/25.13  | | | | | | | | | | | | | | | |            (295), (330), (331), (332), (334), (335), (341),
% 167.78/25.13  | | | | | | | | | | | | | | | |            (347), (348), (351), (356), (368), (371), (374),
% 167.78/25.13  | | | | | | | | | | | | | | | |            (377), (386), (389), (390), (395), (396), (407),
% 167.78/25.13  | | | | | | | | | | | | | | | |            (411), (413), (425), (429), (431), (435), (439),
% 167.78/25.13  | | | | | | | | | | | | | | | |            (441), (446), (448), (456), (460), (462), (468),
% 167.78/25.13  | | | | | | | | | | | | | | | |            (532), (534), (535), (536), (537), (538), (539),
% 167.78/25.13  | | | | | | | | | | | | | | | |            (541), (542), (544), (546), (548), (550), (552),
% 167.78/25.13  | | | | | | | | | | | | | | | |            (554), (556), (558), (564), (567), (569), (572),
% 167.78/25.13  | | | | | | | | | | | | | | | |            (574), (576), (577), (578), (619), (625), (629),
% 167.78/25.13  | | | | | | | | | | | | | | | |            (630), (3004), (4265), (4267), (4284), (4289),
% 167.78/25.13  | | | | | | | | | | | | | | | |            (4290), (4291), (4293), (4296), (4316),
% 167.78/25.13  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 167.78/25.13  | | | | | | | | | | | | | | | |            #135.
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | End of split
% 167.78/25.13  | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | Case 2:
% 167.78/25.13  | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | |   (4317)   ~ (all_54_13 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | REDUCE: (466), (4317) imply:
% 167.78/25.13  | | | | | | | | | | | | | | |   (4318)   ~ (all_52_7 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 167.78/25.13  | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | Case 1:
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | |   (4319)  all_56_1 = e0
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (4319) imply:
% 167.78/25.13  | | | | | | | | | | | | | | | |   (4320)  all_52_4 = e0
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (4320) imply:
% 167.78/25.13  | | | | | | | | | | | | | | | |   (4321)  all_58_20 = e0
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | REDUCE: (180), (4320) imply:
% 167.78/25.13  | | | | | | | | | | | | | | | |   (4322)   ~ (all_52_6 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | SIMP: (4322) implies:
% 167.78/25.13  | | | | | | | | | | | | | | | |   (4323)   ~ (all_52_6 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | REDUCE: (179), (4320) imply:
% 167.78/25.13  | | | | | | | | | | | | | | | |   (4324)   ~ (all_52_7 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | REDUCE: (178), (4320) imply:
% 167.78/25.13  | | | | | | | | | | | | | | | |   (4325)   ~ (all_52_8 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | SIMP: (4325) implies:
% 167.78/25.13  | | | | | | | | | | | | | | | |   (4326)   ~ (all_52_8 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | REDUCE: (550), (4320) imply:
% 167.78/25.13  | | | | | | | | | | | | | | | |   (4327)   ~ (all_6_2 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | SIMP: (4327) implies:
% 167.78/25.13  | | | | | | | | | | | | | | | |   (4328)   ~ (all_6_2 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | REDUCE: (558), (4320) imply:
% 167.78/25.13  | | | | | | | | | | | | | | | |   (4329)   ~ (all_4_2 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | REDUCE: (214), (4320) imply:
% 167.78/25.13  | | | | | | | | | | | | | | | |   (4330)  op(e3, e2) = e0
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 167.78/25.13  | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.13  | | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | |   (4331)  all_56_6 = e0
% 167.78/25.13  | | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (4331) imply:
% 167.78/25.13  | | | | | | | | | | | | | | | | |   (4332)  all_52_2 = e0
% 167.78/25.13  | | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (4332) imply:
% 167.78/25.13  | | | | | | | | | | | | | | | | |   (4333)  all_58_18 = e0
% 167.78/25.13  | | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | | REDUCE: (193), (4332) imply:
% 167.78/25.13  | | | | | | | | | | | | | | | | |   (4334)   ~ (all_52_1 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | | REDUCE: (188), (4332) imply:
% 167.78/25.13  | | | | | | | | | | | | | | | | |   (4335)   ~ (all_52_3 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | | SIMP: (4335) implies:
% 167.78/25.13  | | | | | | | | | | | | | | | | |   (4336)   ~ (all_52_3 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | | REDUCE: (185), (4332) imply:
% 167.78/25.13  | | | | | | | | | | | | | | | | |   (4337)   ~ (all_52_14 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | | SIMP: (4337) implies:
% 167.78/25.13  | | | | | | | | | | | | | | | | |   (4338)   ~ (all_52_14 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (51), (154),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (156), (157), (161), (164), (167), (169), (170),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (172), (177), (178), (179), (180), (184), (185),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (187), (188), (189), (190), (192), (193), (209),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (214), (236), (239), (241), (242), (244), (247),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (248), (271), (272), (273), (276), (278), (280),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (281), (282), (285), (286), (289), (290), (292),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (294), (296), (331), (332), (333), (334), (335),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (347), (348), (351), (356), (368), (371), (374),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (377), (386), (389), (390), (395), (396), (407),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (411), (413), (425), (429), (431), (435), (439),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (441), (446), (448), (453), (456), (462), (465),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (530), (531), (532), (533), (534), (535), (536),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (537), (538), (539), (540), (541), (542), (544),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (546), (548), (550), (552), (554), (555), (558),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (560), (562), (564), (566), (567), (568), (569),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (570), (574), (577), (578), (622), (623), (629),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (770), (4265), (4267), (4274), (4275), (4279),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (4282), (4323), (4326), (4328), (4331), (4333),
% 167.78/25.13  | | | | | | | | | | | | | | | | |            (4334), (4336), (4338), (function-axioms) are
% 167.78/25.13  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #159.
% 167.78/25.13  | | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.13  | | | | | | | | | | | | | | | | | 
% 167.78/25.13  | | | | | | | | | | | | | | | | |   (4339)   ~ (all_56_6 = e0)
% 167.78/25.13  | | | | | | | | | | | | | | | | |   (4340)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 167.78/25.13  | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (37), (42),
% 167.78/25.14  | | | | | | | | | | | | | | | | |            (154), (156), (157), (162), (164), (165), (167),
% 167.78/25.14  | | | | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 167.78/25.14  | | | | | | | | | | | | | | | | |            (183), (184), (185), (187), (188), (189), (190),
% 167.78/25.14  | | | | | | | | | | | | | | | | |            (192), (193), (203), (204), (207), (211), (213),
% 167.78/25.14  | | | | | | | | | | | | | | | | |            (214), (234), (235), (236), (240), (244), (247),
% 167.78/25.14  | | | | | | | | | | | | | | | | |            (248), (267), (269), (270), (274), (277), (278),
% 167.78/25.14  | | | | | | | | | | | | | | | | |            (281), (282), (284), (285), (289), (290), (291),
% 167.78/25.14  | | | | | | | | | | | | | | | | |            (292), (293), (294), (295), (330), (331), (332),
% 167.78/25.14  | | | | | | | | | | | | | | | | |            (333), (335), (347), (348), (351), (356), (368),
% 167.78/25.14  | | | | | | | | | | | | | | | | |            (371), (374), (377), (386), (389), (390), (395),
% 167.78/25.14  | | | | | | | | | | | | | | | | |            (396), (407), (411), (413), (425), (429), (431),
% 167.78/25.14  | | | | | | | | | | | | | | | | |            (435), (439), (441), (446), (448), (455), (465),
% 167.78/25.14  | | | | | | | | | | | | | | | | |            (466), (468), (521), (531), (532), (533), (534),
% 167.78/25.14  | | | | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (540), (541),
% 167.78/25.14  | | | | | | | | | | | | | | | | |            (542), (544), (546), (548), (550), (552), (554),
% 167.78/25.14  | | | | | | | | | | | | | | | | |            (555), (556), (558), (560), (562), (564), (566),
% 167.78/25.14  | | | | | | | | | | | | | | | | |            (567), (568), (570), (572), (574), (576), (577),
% 167.78/25.14  | | | | | | | | | | | | | | | | |            (578), (621), (624), (630), (631), (684), (770),
% 167.78/25.14  | | | | | | | | | | | | | | | | |            (2998), (3003), (3004), (4267), (4282), (4318),
% 167.78/25.14  | | | | | | | | | | | | | | | | |            (4319), (4321), (4323), (4328), (4330), (4339),
% 167.78/25.14  | | | | | | | | | | | | | | | | |            (4340), (function-axioms) are inconsistent by
% 167.78/25.14  | | | | | | | | | | | | | | | | |            sub-proof #146.
% 167.78/25.14  | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | End of split
% 167.78/25.14  | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | Case 2:
% 167.78/25.14  | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | |   (4341)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | BETA: splitting (4341) gives:
% 167.78/25.14  | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.14  | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | |   (4342)  all_56_3 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (4342) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | |   (4343)  all_4_2 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | REDUCE: (4267), (4343) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | |   (4344)  $false
% 167.78/25.14  | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | CLOSE: (4344) is inconsistent.
% 167.78/25.14  | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.14  | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | |   (4345)  all_56_7 = e0 | all_56_13 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | BETA: splitting (4345) gives:
% 167.78/25.14  | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | |   (4346)  all_56_7 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (4346) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | |   (4347)  all_52_6 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (368), (4347) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | |   (4348)  all_58_22 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | REDUCE: (180), (4347) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | |   (4349)   ~ (all_52_4 = e0)
% 167.78/25.14  | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | REDUCE: (172), (4347) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | |   (4350)   ~ (all_52_7 = e0)
% 167.78/25.14  | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | REDUCE: (170), (4347) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | |   (4351)   ~ (all_52_14 = e0)
% 167.78/25.14  | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | SIMP: (4351) implies:
% 167.78/25.14  | | | | | | | | | | | | | | | | | |   (4352)   ~ (all_52_14 = e0)
% 167.78/25.14  | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | REDUCE: (560), (4347) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | |   (4353)   ~ (all_4_2 = e0)
% 167.78/25.14  | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | REDUCE: (628), (4347) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | |   (4354)  op(e1, e0) = all_58_9
% 167.78/25.14  | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | REDUCE: (206), (4347) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | |   (4355)  op(e1, e2) = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 167.78/25.14  | | | | | | | | | | | | | | | | | |              all_58_9, e0, e1, simplifying with (204), (4354)
% 167.78/25.14  | | | | | | | | | | | | | | | | | |              gives:
% 167.78/25.14  | | | | | | | | | | | | | | | | | |   (4356)  all_58_9 = all_52_14
% 167.78/25.14  | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | |   (4357)  all_56_2 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (4357) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | |   (4358)  all_52_1 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (4358) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | |   (4359)  all_58_17 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | REDUCE: (193), (4358) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | |   (4360)   ~ (all_52_2 = e0)
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | SIMP: (4360) implies:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | |   (4361)   ~ (all_52_2 = e0)
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | REDUCE: (192), (4358) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | |   (4362)   ~ (all_52_3 = e0)
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | SIMP: (4362) implies:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | |   (4363)   ~ (all_52_3 = e0)
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | REDUCE: (544), (4358) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | |   (4364)   ~ (all_6_2 = e0)
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | SIMP: (4364) implies:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | |   (4365)   ~ (all_6_2 = e0)
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | BETA: splitting (4274) gives:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |   (4366)  all_56_12 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (4363), (4366) are inconsistent by
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            sub-proof #919.
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |   (4367)  all_56_13 = e0 | all_56_14 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | BETA: splitting (4367) gives:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | |   (4368)  all_56_13 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (348), (4318), (4368) are inconsistent by
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | |            sub-proof #942.
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | |   (4369)  all_56_14 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (4369) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | |   (4370)  all_52_11 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | SIMP: (4370) implies:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | |   (4371)  all_52_11 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (4371) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | |   (4372)   ~ (all_52_8 = e0)
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | |   (4373)  all_56_0 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (536), (4365), (4373) are inconsistent by
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #939.
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | |   (4374)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4374) gives:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | |   (4375)  all_56_1 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (396), (4349), (4375) are inconsistent by
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #560.
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | |   (4376)  all_56_4 = e0 | all_56_9 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4376) gives:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | |   (4377)  all_56_4 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (429), (4372), (4377) are inconsistent by
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #564.
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | |   (4378)  all_56_9 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (4378) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | |   (4379)  all_52_12 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4379) implies:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | |   (4380)  all_52_12 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (4380) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | |   (4381)  all_58_28 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (4380) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | |   (4382)   ~ (all_14_2 = e0)
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (4383)  all_58_19 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (4383) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (4384)  all_52_3 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4363), (4384) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (4385)  $false
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4385) is inconsistent.
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (4386)   ~ (all_58_19 = e0)
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (4387)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4388)  all_58_31 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (537), (4388) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4389)  all_14_2 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4276), (4389) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4390)  $false
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4390) is inconsistent.
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4391)   ~ (all_58_31 = e0)
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4392)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4393)  all_56_12 = e1
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (4393) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4394)  all_52_3 = e1
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4394) implies:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4395)  all_52_3 = e1
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (557), (4395) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4396)   ~ (all_14_2 = e1)
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4396) implies:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4397)   ~ (all_14_2 = e1)
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (178), (185), (188),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (213), (246), (247), (267), (270), (271), (279),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (286), (291), (293), (331), (333), (335), (351),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (356), (371), (374), (386), (396), (407), (413),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (429), (439), (441), (446), (451), (530), (533),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (536), (537), (540), (541), (542), (546), (550),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (552), (558), (566), (569), (574), (577), (620),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4265), (4276), (4279), (4318), (4348), (4349),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4357), (4359), (4361), (4363), (4365), (4372),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4378), (4381), (4397), (function-axioms) are
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #441.
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4398)   ~ (all_56_12 = e1)
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (4398) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4399)   ~ (all_52_3 = e1)
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4400)  all_56_0 = e1
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (4400) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4401)  all_6_2 = e1
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (371), (407), (546), (4359), (4387),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4401) are inconsistent by sub-proof #252.
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4402)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4402) gives:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4403)  all_56_2 = e1
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4357), (4403) are inconsistent by sub-proof
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #935.
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4404)  all_56_6 = e1 | all_56_12 = e1
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4404) gives:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4405)  all_56_6 = e1
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (4405) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4406)  all_52_2 = e1
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (185), (4406) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4407)   ~ (all_52_14 = e1)
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4407) implies:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4408)   ~ (all_52_14 = e1)
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4392) gives:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4409)  all_58_30 = e1
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (356), (4408), (4409) are inconsistent by
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #552.
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4410)  all_58_28 = e3 | all_58_29 = e2
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (37), (333), (374), (386), (531), (540),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (541), (558), (566), (770), (4282), (4318),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4348), (4355), (4381), (4410), (function-axioms)
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #181.
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4411)  all_56_12 = e1
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (4399), (4411) are inconsistent by
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #934.
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | |   (4412)   ~ (all_56_2 = e0)
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | REDUCE: (411), (4412) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | |   (4413)   ~ (all_52_1 = e0)
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |   (4414)  all_56_0 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (4414) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |   (4415)  all_6_2 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (4415) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |   (4416)   ~ (all_52_2 = e0)
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (4415) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |   (4417)   ~ (all_52_12 = e0)
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (61), (154),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (164), (165), (167), (169),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (172), (177), (178), (179), (180), (183), (185),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (187), (188), (189), (190), (192), (193), (203),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (207), (208), (211), (212), (237), (240), (242),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (244), (246), (247), (248), (270), (274), (275),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (278), (279), (280), (281), (282), (285), (287),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (289), (290), (291), (293), (294), (295), (330),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (331), (332), (333), (334), (335), (341), (347),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (348), (351), (356), (368), (371), (374), (377),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (386), (389), (390), (395), (396), (407), (411),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (413), (425), (429), (431), (435), (439), (441),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (446), (448), (451), (453), (455), (463), (521),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (531), (532), (533), (534), (535), (536), (537),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (538), (539), (540), (541), (542), (544), (546),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (548), (550), (552), (554), (555), (556), (558),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (560), (562), (564), (566), (569), (574), (576),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (577), (578), (619), (626), (633), (684), (2998),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (3003), (4267), (4274), (4275), (4282), (4284),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (4318), (4346), (4348), (4349), (4352), (4356),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (4413), (4416), (4417), (function-axioms) are
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #133.
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |   (4418)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (42), (51), (154), (156),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (157), (161), (162), (164), (165), (167), (170),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (177), (178), (180), (183), (184), (187), (189),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (190), (193), (207), (211), (244), (245), (247),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (248), (277), (279), (282), (288), (290), (291),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (293), (294), (331), (332), (333), (347), (348),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (351), (356), (368), (374), (377), (386), (390),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (395), (396), (411), (413), (425), (429), (431),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (435), (439), (441), (446), (448), (460), (521),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (532), (534), (535), (536), (537), (538), (539),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (540), (541), (544), (546), (548), (550), (552),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (554), (555), (556), (558), (564), (567), (569),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (570), (574), (576), (577), (629), (684), (2998),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (3003), (4265), (4275), (4318), (4345), (4413),
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            (4418), (function-axioms) are inconsistent by
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | |            sub-proof #156.
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.14  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | End of split
% 167.78/25.14  | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.14  | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | |   (4419)  all_56_13 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (4419) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | |   (4420)  all_52_7 = e0
% 167.78/25.14  | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | REDUCE: (4318), (4420) imply:
% 167.78/25.14  | | | | | | | | | | | | | | | | | |   (4421)  $false
% 167.78/25.14  | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | | CLOSE: (4421) is inconsistent.
% 167.78/25.14  | | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | | End of split
% 167.78/25.14  | | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | | End of split
% 167.78/25.14  | | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | | End of split
% 167.78/25.14  | | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | | End of split
% 167.78/25.14  | | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | | End of split
% 167.78/25.14  | | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | | End of split
% 167.78/25.14  | | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | | End of split
% 167.78/25.14  | | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | | End of split
% 167.78/25.14  | | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | End of split
% 167.78/25.14  | | | | | | | | | 
% 167.78/25.14  | | | | | | | | Case 2:
% 167.78/25.14  | | | | | | | | | 
% 167.78/25.14  | | | | | | | | |   (4422)  all_24_2 = e0
% 167.78/25.14  | | | | | | | | |   (4423)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3)
% 167.78/25.14  | | | | | | | | | 
% 167.78/25.14  | | | | | | | | | COMBINE_EQS: (510), (4422) imply:
% 167.78/25.14  | | | | | | | | |   (4424)  all_4_2 = e0
% 167.78/25.14  | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (38), (42),
% 167.78/25.15  | | | | | | | | |            (43), (61), (62), (63), (126), (131), (154), (156),
% 167.78/25.15  | | | | | | | | |            (157), (161), (162), (164), (165), (167), (169),
% 167.78/25.15  | | | | | | | | |            (170), (172), (177), (178), (179), (180), (183),
% 167.78/25.15  | | | | | | | | |            (184), (185), (187), (188), (189), (190), (192),
% 167.78/25.15  | | | | | | | | |            (193), (202), (203), (204), (207), (208), (209),
% 167.78/25.15  | | | | | | | | |            (212), (234), (235), (236), (237), (238), (239),
% 167.78/25.15  | | | | | | | | |            (240), (241), (242), (244), (245), (246), (247),
% 167.78/25.15  | | | | | | | | |            (248), (266), (267), (269), (270), (271), (272),
% 167.78/25.15  | | | | | | | | |            (273), (275), (276), (277), (278), (279), (280),
% 167.78/25.15  | | | | | | | | |            (283), (284), (286), (287), (288), (289), (290),
% 167.78/25.15  | | | | | | | | |            (291), (292), (293), (294), (295), (330), (331),
% 167.78/25.15  | | | | | | | | |            (332), (333), (334), (335), (347), (348), (351),
% 167.78/25.15  | | | | | | | | |            (356), (368), (371), (374), (377), (386), (389),
% 167.78/25.15  | | | | | | | | |            (390), (395), (396), (407), (411), (413), (425),
% 167.78/25.15  | | | | | | | | |            (429), (431), (435), (439), (441), (446), (448),
% 167.78/25.15  | | | | | | | | |            (451), (453), (455), (456), (460), (462), (463),
% 167.78/25.15  | | | | | | | | |            (465), (466), (468), (494), (496), (530), (532),
% 167.78/25.15  | | | | | | | | |            (533), (534), (535), (536), (537), (538), (539),
% 167.78/25.15  | | | | | | | | |            (540), (541), (542), (544), (546), (548), (550),
% 167.78/25.15  | | | | | | | | |            (552), (554), (555), (556), (557), (558), (560),
% 167.78/25.15  | | | | | | | | |            (562), (564), (567), (568), (569), (570), (572),
% 167.78/25.15  | | | | | | | | |            (574), (575), (576), (577), (578), (619), (621),
% 167.78/25.15  | | | | | | | | |            (622), (624), (627), (630), (631), (633), (634),
% 167.78/25.15  | | | | | | | | |            (674), (688), (740), (755), (3004), (3005), (4423),
% 167.78/25.15  | | | | | | | | |            (4424), (function-axioms) are inconsistent by
% 167.78/25.15  | | | | | | | | |            sub-proof #438.
% 167.78/25.15  | | | | | | | | | 
% 167.78/25.15  | | | | | | | | End of split
% 167.78/25.15  | | | | | | | | 
% 167.78/25.15  | | | | | | | End of split
% 167.78/25.15  | | | | | | | 
% 167.78/25.15  | | | | | | End of split
% 167.78/25.15  | | | | | | 
% 167.78/25.15  | | | | | Case 2:
% 167.78/25.15  | | | | | | 
% 167.78/25.15  | | | | | |   (4425)  all_14_0 = e1
% 167.78/25.15  | | | | | |   (4426)   ~ (all_14_1 = e2) |  ~ (all_14_2 = e3)
% 167.78/25.15  | | | | | | 
% 167.78/25.15  | | | | | | COMBINE_EQS: (763), (4425) imply:
% 167.78/25.15  | | | | | |   (4427)  all_16_0 = e1
% 167.78/25.15  | | | | | | 
% 167.78/25.15  | | | | | | REDUCE: (63), (4425) imply:
% 167.78/25.15  | | | | | |   (4428)  op(all_14_1, all_14_2) = e1
% 167.78/25.15  | | | | | | 
% 167.78/25.15  | | | | | | BETA: splitting (69) gives:
% 167.78/25.15  | | | | | | 
% 167.78/25.15  | | | | | | Case 1:
% 167.78/25.15  | | | | | | | 
% 167.78/25.15  | | | | | | |   (4429)   ~ (all_16_0 = e1)
% 167.78/25.15  | | | | | | | 
% 167.78/25.15  | | | | | | | REDUCE: (4427), (4429) imply:
% 167.78/25.15  | | | | | | |   (4430)  $false
% 167.78/25.15  | | | | | | | 
% 167.78/25.15  | | | | | | | CLOSE: (4430) is inconsistent.
% 167.78/25.15  | | | | | | | 
% 167.78/25.15  | | | | | | Case 2:
% 167.78/25.15  | | | | | | | 
% 167.78/25.15  | | | | | | |   (4431)   ~ (all_16_1 = e3) |  ~ (all_16_2 = e2)
% 167.78/25.15  | | | | | | | 
% 167.78/25.15  | | | | | | | BETA: splitting (79) gives:
% 167.78/25.15  | | | | | | | 
% 167.78/25.15  | | | | | | | Case 1:
% 167.78/25.15  | | | | | | | | 
% 167.78/25.15  | | | | | | | |   (4432)   ~ (all_20_1 = e0)
% 167.78/25.15  | | | | | | | | 
% 167.78/25.15  | | | | | | | | REDUCE: (682), (4432) imply:
% 167.78/25.15  | | | | | | | |   (4433)   ~ (all_10_1 = e0)
% 167.78/25.15  | | | | | | | | 
% 167.78/25.15  | | | | | | | | BETA: splitting (84) gives:
% 167.78/25.15  | | | | | | | | 
% 167.78/25.15  | | | | | | | | Case 1:
% 167.78/25.15  | | | | | | | | | 
% 167.78/25.15  | | | | | | | | |   (4434)   ~ (all_22_0 = e0)
% 167.78/25.15  | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | REDUCE: (723), (4434) imply:
% 167.78/25.15  | | | | | | | | |   (4435)   ~ (all_10_0 = e0)
% 167.78/25.15  | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | BETA: splitting (89) gives:
% 167.78/25.15  | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | Case 1:
% 167.78/25.15  | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | |   (4436)   ~ (all_24_2 = e0)
% 167.78/25.15  | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | REDUCE: (510), (4436) imply:
% 167.78/25.15  | | | | | | | | | |   (4437)   ~ (all_4_2 = e0)
% 167.78/25.15  | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | BETA: splitting (266) gives:
% 167.78/25.15  | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | Case 1:
% 167.78/25.15  | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | |   (4438)  all_56_15 = e0
% 167.78/25.15  | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | REF_CLOSE: (4), (61), (62), (533), (634), (4428), (4438),
% 167.78/25.15  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 167.78/25.15  | | | | | | | | | | |            #400.
% 167.78/25.15  | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | Case 2:
% 167.78/25.15  | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | |   (4439)   ~ (all_56_15 = e0)
% 167.78/25.15  | | | | | | | | | | |   (4440)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 167.78/25.15  | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 167.78/25.15  | | | | | | | | | | |             e0)
% 167.78/25.15  | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | ALPHA: (4440) implies:
% 167.78/25.15  | | | | | | | | | | |   (4441)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 167.78/25.15  | | | | | | | | | | |   (4442)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 167.78/25.15  | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | REDUCE: (533), (4439) imply:
% 167.78/25.15  | | | | | | | | | | |   (4443)   ~ (all_14_2 = e0)
% 167.78/25.15  | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | BETA: splitting (238) gives:
% 167.78/25.15  | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | Case 1:
% 167.78/25.15  | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | |   (4444)  all_54_10 = e0
% 167.78/25.15  | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | REF_CLOSE: (530), (3004), (4444) are inconsistent by
% 167.78/25.15  | | | | | | | | | | | |            sub-proof #909.
% 167.78/25.15  | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | Case 2:
% 167.78/25.15  | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | |   (4445)   ~ (all_54_10 = e0)
% 167.78/25.15  | | | | | | | | | | | |   (4446)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 167.78/25.15  | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | BETA: splitting (243) gives:
% 167.78/25.15  | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | Case 1:
% 167.78/25.15  | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | |   (4447)  all_54_5 = e0
% 167.78/25.15  | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | REF_CLOSE: (531), (4437), (4447) are inconsistent by
% 167.78/25.15  | | | | | | | | | | | | |            sub-proof #983.
% 167.78/25.15  | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | Case 2:
% 167.78/25.15  | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | |   (4448)   ~ (all_54_5 = e0)
% 167.78/25.15  | | | | | | | | | | | | |   (4449)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 167.78/25.15  | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | BETA: splitting (233) gives:
% 167.78/25.15  | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | Case 1:
% 167.78/25.15  | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | |   (4450)  all_54_15 = e0
% 167.78/25.15  | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | REF_CLOSE: (341), (4443), (4450) are inconsistent by
% 167.78/25.15  | | | | | | | | | | | | | |            sub-proof #910.
% 167.78/25.15  | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | Case 2:
% 167.78/25.15  | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | |   (4451)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 167.78/25.15  | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 167.78/25.15  | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | Case 1:
% 167.78/25.15  | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | |   (4452)  all_54_12 = e0
% 167.78/25.15  | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | COMBINE_EQS: (465), (4452) imply:
% 167.78/25.15  | | | | | | | | | | | | | | |   (4453)  all_52_3 = e0
% 167.78/25.15  | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | SIMP: (4453) implies:
% 167.78/25.15  | | | | | | | | | | | | | | |   (4454)  all_52_3 = e0
% 167.78/25.15  | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | COMBINE_EQS: (351), (4454) imply:
% 167.78/25.15  | | | | | | | | | | | | | | |   (4455)  all_56_12 = e0
% 167.78/25.15  | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | REDUCE: (192), (4454) imply:
% 167.78/25.15  | | | | | | | | | | | | | | |   (4456)   ~ (all_52_1 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | REDUCE: (188), (4454) imply:
% 167.78/25.15  | | | | | | | | | | | | | | |   (4457)   ~ (all_52_2 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | REDUCE: (184), (4454) imply:
% 167.78/25.15  | | | | | | | | | | | | | | |   (4458)   ~ (all_52_7 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | SIMP: (4458) implies:
% 167.78/25.15  | | | | | | | | | | | | | | |   (4459)   ~ (all_52_7 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | REDUCE: (183), (4454) imply:
% 167.78/25.15  | | | | | | | | | | | | | | |   (4460)   ~ (all_52_11 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | SIMP: (4460) implies:
% 167.78/25.15  | | | | | | | | | | | | | | |   (4461)   ~ (all_52_11 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | REDUCE: (548), (4454) imply:
% 167.78/25.15  | | | | | | | | | | | | | | |   (4462)   ~ (all_6_2 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | SIMP: (4462) implies:
% 167.78/25.15  | | | | | | | | | | | | | | |   (4463)   ~ (all_6_2 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (37), (42), (154), (156),
% 167.78/25.15  | | | | | | | | | | | | | | |            (157), (162), (164), (165), (167), (169), (170),
% 167.78/25.15  | | | | | | | | | | | | | | |            (172), (177), (178), (179), (180), (185), (187),
% 167.78/25.15  | | | | | | | | | | | | | | |            (189), (190), (193), (207), (211), (214), (234),
% 167.78/25.15  | | | | | | | | | | | | | | |            (235), (240), (244), (247), (248), (270), (273),
% 167.78/25.15  | | | | | | | | | | | | | | |            (274), (277), (281), (282), (284), (285), (290),
% 167.78/25.15  | | | | | | | | | | | | | | |            (291), (293), (294), (295), (331), (332), (333),
% 167.78/25.15  | | | | | | | | | | | | | | |            (347), (348), (356), (368), (374), (377), (386),
% 167.78/25.15  | | | | | | | | | | | | | | |            (390), (395), (396), (411), (413), (425), (429),
% 167.78/25.15  | | | | | | | | | | | | | | |            (431), (435), (439), (441), (446), (448), (455),
% 167.78/25.15  | | | | | | | | | | | | | | |            (466), (468), (521), (531), (532), (533), (534),
% 167.78/25.15  | | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (540), (541),
% 167.78/25.15  | | | | | | | | | | | | | | |            (544), (546), (550), (552), (554), (555), (556),
% 167.78/25.15  | | | | | | | | | | | | | | |            (558), (560), (562), (564), (566), (567), (568),
% 167.78/25.15  | | | | | | | | | | | | | | |            (570), (572), (574), (576), (577), (578), (684),
% 167.78/25.15  | | | | | | | | | | | | | | |            (770), (2998), (3003), (3004), (4437), (4449),
% 167.78/25.15  | | | | | | | | | | | | | | |            (4455), (4456), (4457), (4459), (4461), (4463),
% 167.78/25.15  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 167.78/25.15  | | | | | | | | | | | | | | |            #205.
% 167.78/25.15  | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | Case 2:
% 167.78/25.15  | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | |   (4464)   ~ (all_54_12 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | |   (4465)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 167.78/25.15  | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | REDUCE: (465), (4464) imply:
% 167.78/25.15  | | | | | | | | | | | | | | |   (4466)   ~ (all_52_3 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 167.78/25.15  | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | Case 1:
% 167.78/25.15  | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | |   (4467)  all_54_13 = e0
% 167.78/25.15  | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (4467) imply:
% 167.78/25.15  | | | | | | | | | | | | | | | |   (4468)  all_52_7 = e0
% 167.78/25.15  | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | SIMP: (4468) implies:
% 167.78/25.15  | | | | | | | | | | | | | | | |   (4469)  all_52_7 = e0
% 167.78/25.15  | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (4469) imply:
% 167.78/25.15  | | | | | | | | | | | | | | | |   (4470)  all_56_13 = e0
% 167.78/25.15  | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (4469) imply:
% 167.78/25.15  | | | | | | | | | | | | | | | |   (4471)  all_58_23 = e0
% 167.78/25.15  | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | REDUCE: (179), (4469) imply:
% 167.78/25.15  | | | | | | | | | | | | | | | |   (4472)   ~ (all_52_4 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | REDUCE: (172), (4469) imply:
% 167.78/25.15  | | | | | | | | | | | | | | | |   (4473)   ~ (all_52_6 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | REDUCE: (169), (4469) imply:
% 167.78/25.15  | | | | | | | | | | | | | | | |   (4474)   ~ (all_52_11 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | SIMP: (4474) implies:
% 167.78/25.15  | | | | | | | | | | | | | | | |   (4475)   ~ (all_52_11 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | REDUCE: (562), (4469) imply:
% 167.78/25.15  | | | | | | | | | | | | | | | |   (4476)   ~ (all_4_2 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | REDUCE: (632), (4469) imply:
% 167.78/25.15  | | | | | | | | | | | | | | | |   (4477)  op(e0, e0) = all_58_13
% 167.78/25.15  | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 167.78/25.15  | | | | | | | | | | | | | | | |              all_58_13, e0, e0, simplifying with (61), (4477)
% 167.78/25.15  | | | | | | | | | | | | | | | |              gives:
% 167.78/25.15  | | | | | | | | | | | | | | | |   (4478)  all_58_13 = all_14_2
% 167.78/25.15  | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 167.78/25.15  | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.15  | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | |   (4479)  all_56_6 = e0
% 167.78/25.15  | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (4479) imply:
% 167.78/25.15  | | | | | | | | | | | | | | | | |   (4480)  all_52_2 = e0
% 167.78/25.15  | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (4480) imply:
% 167.78/25.15  | | | | | | | | | | | | | | | | |   (4481)  all_58_18 = e0
% 167.78/25.15  | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | REDUCE: (193), (4480) imply:
% 167.78/25.15  | | | | | | | | | | | | | | | | |   (4482)   ~ (all_52_1 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | REDUCE: (188), (4480) imply:
% 167.78/25.15  | | | | | | | | | | | | | | | | |   (4483)   ~ (all_52_3 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | REDUCE: (187), (4480) imply:
% 167.78/25.15  | | | | | | | | | | | | | | | | |   (4484)   ~ (all_52_6 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | REDUCE: (185), (4480) imply:
% 167.78/25.15  | | | | | | | | | | | | | | | | |   (4485)   ~ (all_52_14 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | SIMP: (4485) implies:
% 167.78/25.15  | | | | | | | | | | | | | | | | |   (4486)   ~ (all_52_14 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | REDUCE: (546), (4480) imply:
% 167.78/25.15  | | | | | | | | | | | | | | | | |   (4487)   ~ (all_6_2 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | SIMP: (4487) implies:
% 167.78/25.15  | | | | | | | | | | | | | | | | |   (4488)   ~ (all_6_2 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (41), (42), (51),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (52), (154), (156), (157), (161), (162), (164),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (165), (167), (170), (177), (178), (180), (189),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (190), (192), (203), (208), (213), (214), (239),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (241), (247), (248), (268), (269), (271), (272),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (275), (276), (277), (281), (282), (284), (286),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (287), (290), (291), (292), (293), (294), (295),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (330), (331), (332), (334), (335), (347), (351),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (356), (368), (374), (377), (386), (389), (390),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (395), (396), (407), (411), (425), (429), (431),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (439), (441), (446), (456), (462), (465), (530),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (531), (532), (533), (534), (535), (536), (537),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (538), (539), (542), (544), (548), (550), (552),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (554), (555), (558), (560), (564), (566), (567),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (569), (570), (574), (576), (577), (578), (619),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (620), (626), (629), (631), (3000), (4433),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (4437), (4442), (4446), (4449), (4465), (4466),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (4470), (4471), (4472), (4473), (4479), (4481),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (4482), (4486), (4488), (function-axioms) are
% 167.78/25.15  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #193.
% 167.78/25.15  | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.15  | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | |   (4489)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 167.78/25.15  | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (51), (52),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (62), (154), (157), (161), (162), (164), (165),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (167), (170), (177), (178), (180), (183), (184),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (185), (187), (188), (189), (190), (192), (193),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (203), (204), (207), (208), (212), (234), (236),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (239), (240), (241), (242), (244), (245), (247),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (248), (269), (270), (271), (274), (275), (276),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (277), (278), (279), (281), (282), (284), (285),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (286), (287), (289), (291), (293), (295), (330),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (331), (332), (334), (335), (341), (347), (348),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (351), (356), (368), (371), (374), (377), (386),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (389), (390), (395), (396), (407), (411), (413),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (425), (429), (431), (435), (439), (441), (446),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (448), (453), (455), (456), (460), (462), (465),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (468), (531), (532), (533), (534), (535), (536),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (537), (538), (539), (541), (542), (544), (546),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (548), (550), (552), (554), (555), (556), (557),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (558), (560), (564), (566), (567), (570), (572),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (574), (575), (576), (577), (578), (619), (621),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (625), (628), (629), (630), (3004), (4426),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (4428), (4433), (4437), (4449), (4451), (4471),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (4472), (4473), (4475), (4478), (4489),
% 167.78/25.15  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 167.78/25.15  | | | | | | | | | | | | | | | | |            #131.
% 167.78/25.15  | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | End of split
% 167.78/25.15  | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | Case 2:
% 167.78/25.15  | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | |   (4490)   ~ (all_54_13 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | REDUCE: (466), (4490) imply:
% 167.78/25.15  | | | | | | | | | | | | | | | |   (4491)   ~ (all_52_7 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | BETA: splitting (4441) gives:
% 167.78/25.15  | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.15  | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | |   (4492)  all_56_12 = e0
% 167.78/25.15  | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (4466), (4492) are inconsistent by
% 167.78/25.15  | | | | | | | | | | | | | | | | |            sub-proof #919.
% 167.78/25.15  | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.15  | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | |   (4493)  all_56_13 = e0 | all_56_14 = e0
% 167.78/25.15  | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | BETA: splitting (4493) gives:
% 167.78/25.15  | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.15  | | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | |   (4494)  all_56_13 = e0
% 167.78/25.15  | | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | | REF_CLOSE: (348), (4491), (4494) are inconsistent by
% 167.78/25.15  | | | | | | | | | | | | | | | | | |            sub-proof #942.
% 167.78/25.15  | | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.15  | | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | |   (4495)  all_56_14 = e0
% 167.78/25.15  | | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (4495) imply:
% 167.78/25.15  | | | | | | | | | | | | | | | | | |   (4496)  all_52_11 = e0
% 167.78/25.15  | | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | | SIMP: (4496) implies:
% 167.78/25.15  | | | | | | | | | | | | | | | | | |   (4497)  all_52_11 = e0
% 167.78/25.15  | | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (4497) imply:
% 167.78/25.15  | | | | | | | | | | | | | | | | | |   (4498)  all_58_27 = e0
% 167.78/25.15  | | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | | REDUCE: (572), (4497) imply:
% 167.78/25.15  | | | | | | | | | | | | | | | | | |   (4499)   ~ (all_10_2 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | | REDUCE: (633), (4497) imply:
% 167.78/25.15  | | | | | | | | | | | | | | | | | |   (4500)  op(e0, e0) = all_58_14
% 167.78/25.15  | | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 167.78/25.15  | | | | | | | | | | | | | | | | | |              all_58_14, e0, e0, simplifying with (61), (4500)
% 167.78/25.15  | | | | | | | | | | | | | | | | | |              gives:
% 167.78/25.15  | | | | | | | | | | | | | | | | | |   (4501)  all_58_14 = all_14_2
% 167.78/25.15  | | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 167.78/25.15  | | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.15  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | | |   (4502)  all_56_1 = e0
% 167.78/25.15  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (4502) imply:
% 167.78/25.15  | | | | | | | | | | | | | | | | | | |   (4503)  all_52_4 = e0
% 167.78/25.15  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (4503) imply:
% 167.78/25.15  | | | | | | | | | | | | | | | | | | |   (4504)  all_58_20 = e0
% 167.78/25.15  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | | | REDUCE: (180), (4503) imply:
% 167.78/25.15  | | | | | | | | | | | | | | | | | | |   (4505)   ~ (all_52_6 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | | | SIMP: (4505) implies:
% 167.78/25.15  | | | | | | | | | | | | | | | | | | |   (4506)   ~ (all_52_6 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | | | REDUCE: (179), (4503) imply:
% 167.78/25.15  | | | | | | | | | | | | | | | | | | |   (4507)   ~ (all_52_7 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | | | REDUCE: (550), (4503) imply:
% 167.78/25.15  | | | | | | | | | | | | | | | | | | |   (4508)   ~ (all_6_2 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | | | SIMP: (4508) implies:
% 167.78/25.15  | | | | | | | | | | | | | | | | | | |   (4509)   ~ (all_6_2 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | | | REDUCE: (558), (4503) imply:
% 167.78/25.15  | | | | | | | | | | | | | | | | | | |   (4510)   ~ (all_4_2 = e0)
% 167.78/25.15  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | | | REDUCE: (214), (4503) imply:
% 167.78/25.15  | | | | | | | | | | | | | | | | | | |   (4511)  op(e3, e2) = e0
% 167.78/25.15  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.15  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (37), (52),
% 167.78/25.15  | | | | | | | | | | | | | | | | | | |            (53), (154), (156), (157), (161), (162), (169),
% 167.78/25.15  | | | | | | | | | | | | | | | | | | |            (172), (183), (185), (187), (188), (189), (190),
% 167.78/25.15  | | | | | | | | | | | | | | | | | | |            (192), (193), (203), (204), (209), (213), (239),
% 167.78/25.15  | | | | | | | | | | | | | | | | | | |            (242), (244), (245), (248), (267), (269), (271),
% 167.78/25.15  | | | | | | | | | | | | | | | | | | |            (273), (275), (278), (280), (281), (284), (289),
% 167.78/25.15  | | | | | | | | | | | | | | | | | | |            (291), (292), (293), (330), (331), (333), (334),
% 167.78/25.15  | | | | | | | | | | | | | | | | | | |            (335), (348), (351), (356), (368), (371), (374),
% 167.78/25.15  | | | | | | | | | | | | | | | | | | |            (386), (389), (390), (407), (411), (413), (425),
% 167.78/25.15  | | | | | | | | | | | | | | | | | | |            (429), (431), (435), (439), (441), (448), (453),
% 167.78/25.15  | | | | | | | | | | | | | | | | | | |            (456), (460), (465), (531), (532), (533), (534),
% 167.78/25.15  | | | | | | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (540), (542),
% 167.78/25.15  | | | | | | | | | | | | | | | | | | |            (544), (546), (548), (552), (554), (555), (560),
% 167.78/25.15  | | | | | | | | | | | | | | | | | | |            (564), (566), (567), (577), (578), (621), (622),
% 167.78/25.15  | | | | | | | | | | | | | | | | | | |            (623), (624), (630), (631), (770), (3004), (4435),
% 167.78/25.15  | | | | | | | | | | | | | | | | | | |            (4437), (4441), (4449), (4465), (4466), (4491),
% 167.78/25.15  | | | | | | | | | | | | | | | | | | |            (4502), (4504), (4506), (4509), (4511),
% 167.78/25.16  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 167.78/25.16  | | | | | | | | | | | | | | | | | | |            #202.
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | |   (4512)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | BETA: splitting (4512) gives:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | |   (4513)  all_56_3 = e0
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (4513) imply:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | |   (4514)  all_4_2 = e0
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | REDUCE: (4437), (4514) imply:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | |   (4515)  $false
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | CLOSE: (4515) is inconsistent.
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | |   (4516)  all_56_7 = e0 | all_56_13 = e0
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | BETA: splitting (4516) gives:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | |   (4517)  all_56_7 = e0
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (4517) imply:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | |   (4518)  all_52_6 = e0
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (368), (4518) imply:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | |   (4519)  all_58_22 = e0
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (4518) imply:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | |   (4520)   ~ (all_52_2 = e0)
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (4518) imply:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | |   (4521)   ~ (all_52_7 = e0)
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (4518) imply:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | |   (4522)   ~ (all_52_14 = e0)
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | SIMP: (4522) implies:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | |   (4523)   ~ (all_52_14 = e0)
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (4518) imply:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | |   (4524)  op(e1, e0) = all_58_9
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | |              all_58_9, e0, e1, simplifying with (204), (4524)
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | |              gives:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | |   (4525)  all_58_9 = all_52_14
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | |   (4526)  all_56_0 = e0
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (154), (156),
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | |            (157), (161), (164), (167), (177), (178), (179),
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | |            (185), (188), (189), (190), (192), (193), (203),
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | |            (208), (212), (237), (242), (246), (247), (270),
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | |            (274), (275), (278), (279), (280), (282), (287),
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | |            (291), (294), (295), (330), (331), (333), (334),
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | |            (335), (341), (348), (351), (356), (371), (374),
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | |            (377), (386), (389), (390), (395), (396), (407),
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | |            (411), (413), (429), (431), (439), (441), (446),
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | |            (451), (453), (463), (531), (533), (534), (535),
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | |            (536), (537), (538), (539), (540), (541), (542),
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | |            (548), (550), (552), (554), (555), (558), (562),
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | |            (564), (566), (569), (574), (576), (577), (578),
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | |            (619), (626), (4442), (4449), (4451), (4491),
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | |            (4498), (4501), (4517), (4519), (4523), (4525),
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | |            (4526), (function-axioms) are inconsistent by
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #130.
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | |   (4527)   ~ (all_56_0 = e0)
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (4527) imply:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | |   (4528)   ~ (all_6_2 = e0)
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | |   (4529)  all_56_0 = e0
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (4529) imply:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | |   (4530)  all_6_2 = e0
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4528), (4530) imply:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | |   (4531)  $false
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4531) is inconsistent.
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | |   (4532)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4532) gives:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | |   (4533)  all_56_2 = e0
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (4533) imply:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | |   (4534)  all_52_1 = e0
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (4534) imply:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | |   (4535)  all_58_17 = e0
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (193), (4534) imply:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | |   (4536)   ~ (all_52_2 = e0)
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (4534) imply:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | |   (4537)   ~ (all_52_3 = e0)
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (4534) imply:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | |   (4538)   ~ (all_52_9 = e0)
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4538) implies:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | |   (4539)   ~ (all_52_9 = e0)
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (189), (4534) imply:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | |   (4540)   ~ (all_52_13 = e0)
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4540) implies:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | |   (4541)   ~ (all_52_13 = e0)
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (555), (4534) imply:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | |   (4542)   ~ (all_4_2 = e0)
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (211), (4534) imply:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | |   (4543)  op(e2, e3) = e0
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4442) gives:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | |   (4544)  all_56_9 = e0
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (4544) imply:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | |   (4545)  all_52_12 = e0
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4545) implies:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | |   (4546)  all_52_12 = e0
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (4546) imply:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | |   (4547)  all_58_28 = e0
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (4546) imply:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | |   (4548)   ~ (all_52_4 = e0)
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (4546) imply:
% 167.78/25.16  | | | | | | | | | | | | | | | | | | | | | | | | |   (4549)   ~ (all_52_8 = e0)
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (4546) imply:
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | |   (4550)   ~ (all_14_2 = e0)
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (4546) imply:
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | |   (4551)   ~ (all_6_2 = e0)
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4552)  all_54_6 = e0
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (4539), (4552) are inconsistent by
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #901.
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4553)   ~ (all_54_6 = e0)
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4554)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4555)  all_54_8 = e0
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (4520), (4555) are inconsistent by
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #839.
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4556)   ~ (all_54_8 = e0)
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4557)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4558)  all_54_7 = e0
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (4541), (4558) are inconsistent by
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #714.
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4559)   ~ (all_54_7 = e0)
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4560)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4561)  all_54_1 = e0
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (4548), (4561) are inconsistent by
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #866.
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4562)   ~ (all_54_1 = e0)
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4563)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (52), (53), (154), (161),
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (164), (177), (178), (185), (188), (213), (237),
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (246), (247), (248), (275), (279), (286), (291),
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (294), (331), (333), (334), (335), (356), (371),
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (374), (377), (386), (396), (407), (413), (429),
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (446), (451), (453), (455), (462), (463), (465),
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (530), (531), (532), (536), (537), (538), (539),
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (540), (541), (542), (546), (548), (550), (552),
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (556), (558), (564), (566), (569), (574), (620),
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (626), (4435), (4437), (4443), (4446), (4449),
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4465), (4466), (4491), (4498), (4519), (4520),
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4523), (4528), (4535), (4539), (4541), (4543),
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4544), (4547), (4548), (4549), (4554), (4557),
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4560), (4563), (function-axioms) are inconsistent
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #142.
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | |   (4564)  all_56_10 = e0 | all_56_11 = e0
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (439), (441), (4523), (4541), (4564) are
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #414.
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | |   (4565)  all_56_6 = e0 | all_56_12 = e0
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (413), (4466), (4520), (4565) are
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #918.
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | |   (4566)  all_56_13 = e0
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (348), (4491), (4566) are inconsistent by
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | |            sub-proof #942.
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.16  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.16  | | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | | End of split
% 168.17/25.16  | | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | | End of split
% 168.17/25.16  | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | End of split
% 168.17/25.16  | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | End of split
% 168.17/25.16  | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | End of split
% 168.17/25.16  | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | End of split
% 168.17/25.16  | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | End of split
% 168.17/25.16  | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | End of split
% 168.17/25.16  | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | Case 2:
% 168.17/25.16  | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | |   (4567)  all_24_2 = e0
% 168.17/25.16  | | | | | | | | | |   (4568)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3)
% 168.17/25.16  | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | COMBINE_EQS: (510), (4567) imply:
% 168.17/25.16  | | | | | | | | | |   (4569)  all_4_2 = e0
% 168.17/25.16  | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | SIMP: (4569) implies:
% 168.17/25.16  | | | | | | | | | |   (4570)  all_4_2 = e0
% 168.17/25.16  | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (38), (42),
% 168.17/25.16  | | | | | | | | | |            (43), (61), (62), (126), (131), (154), (156),
% 168.17/25.16  | | | | | | | | | |            (157), (161), (162), (164), (165), (167), (169),
% 168.17/25.16  | | | | | | | | | |            (170), (172), (177), (178), (179), (180), (183),
% 168.17/25.16  | | | | | | | | | |            (184), (185), (187), (188), (189), (190), (192),
% 168.17/25.16  | | | | | | | | | |            (193), (202), (203), (204), (207), (208), (209),
% 168.17/25.16  | | | | | | | | | |            (212), (234), (235), (236), (237), (238), (239),
% 168.17/25.16  | | | | | | | | | |            (240), (241), (242), (244), (245), (246), (247),
% 168.17/25.16  | | | | | | | | | |            (248), (266), (267), (269), (270), (271), (272),
% 168.17/25.16  | | | | | | | | | |            (273), (275), (276), (277), (278), (279), (280),
% 168.17/25.16  | | | | | | | | | |            (283), (284), (286), (287), (289), (290), (291),
% 168.17/25.16  | | | | | | | | | |            (292), (293), (294), (295), (330), (331), (332),
% 168.17/25.16  | | | | | | | | | |            (333), (334), (335), (347), (348), (351), (356),
% 168.17/25.16  | | | | | | | | | |            (368), (371), (374), (377), (386), (389), (390),
% 168.17/25.16  | | | | | | | | | |            (395), (396), (407), (411), (413), (425), (429),
% 168.17/25.16  | | | | | | | | | |            (431), (435), (439), (441), (446), (448), (451),
% 168.17/25.16  | | | | | | | | | |            (453), (455), (456), (460), (462), (463), (465),
% 168.17/25.16  | | | | | | | | | |            (466), (468), (494), (496), (530), (532), (533),
% 168.17/25.16  | | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 168.17/25.16  | | | | | | | | | |            (541), (542), (544), (546), (548), (550), (552),
% 168.17/25.16  | | | | | | | | | |            (554), (555), (556), (557), (558), (560), (562),
% 168.17/25.16  | | | | | | | | | |            (564), (567), (569), (570), (572), (574), (575),
% 168.17/25.16  | | | | | | | | | |            (576), (577), (578), (619), (621), (622), (624),
% 168.17/25.16  | | | | | | | | | |            (627), (630), (631), (633), (634), (674), (688),
% 168.17/25.16  | | | | | | | | | |            (740), (755), (3004), (4428), (4568), (4570),
% 168.17/25.16  | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.17/25.16  | | | | | | | | | |            #388.
% 168.17/25.16  | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | End of split
% 168.17/25.16  | | | | | | | | | 
% 168.17/25.16  | | | | | | | | Case 2:
% 168.17/25.16  | | | | | | | | | 
% 168.17/25.16  | | | | | | | | |   (4571)  all_22_0 = e0
% 168.17/25.16  | | | | | | | | |   (4572)   ~ (all_22_1 = e2) |  ~ (all_22_2 = e3)
% 168.17/25.16  | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | COMBINE_EQS: (723), (4571) imply:
% 168.17/25.16  | | | | | | | | |   (4573)  all_10_0 = e0
% 168.17/25.16  | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | COMBINE_EQS: (768), (4573) imply:
% 168.17/25.16  | | | | | | | | |   (4574)  all_38_0 = e0
% 168.17/25.16  | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | REDUCE: (53), (4573) imply:
% 168.17/25.16  | | | | | | | | |   (4575)  op(all_10_1, all_10_2) = e0
% 168.17/25.16  | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | BETA: splitting (89) gives:
% 168.17/25.16  | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | Case 1:
% 168.17/25.16  | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | |   (4576)   ~ (all_24_2 = e0)
% 168.17/25.16  | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | REDUCE: (510), (4576) imply:
% 168.17/25.16  | | | | | | | | | |   (4577)   ~ (all_4_2 = e0)
% 168.17/25.16  | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | BETA: splitting (121) gives:
% 168.17/25.16  | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | Case 1:
% 168.17/25.16  | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | |   (4578)   ~ (all_38_0 = e0)
% 168.17/25.16  | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | REDUCE: (4574), (4578) imply:
% 168.17/25.16  | | | | | | | | | | |   (4579)  $false
% 168.17/25.16  | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | CLOSE: (4579) is inconsistent.
% 168.17/25.16  | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | Case 2:
% 168.17/25.16  | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | |   (4580)   ~ (all_38_1 = e3) |  ~ (all_38_2 = e2)
% 168.17/25.16  | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | BETA: splitting (266) gives:
% 168.17/25.16  | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | Case 1:
% 168.17/25.16  | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | |   (4581)  all_56_15 = e0
% 168.17/25.16  | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | REF_CLOSE: (4), (61), (62), (533), (634), (4428), (4581),
% 168.17/25.16  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.17/25.16  | | | | | | | | | | | |            #400.
% 168.17/25.16  | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | Case 2:
% 168.17/25.16  | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | |   (4582)   ~ (all_56_15 = e0)
% 168.17/25.16  | | | | | | | | | | | |   (4583)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 168.17/25.16  | | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 168.17/25.16  | | | | | | | | | | | |             e0)
% 168.17/25.16  | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | ALPHA: (4583) implies:
% 168.17/25.16  | | | | | | | | | | | |   (4584)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 168.17/25.16  | | | | | | | | | | | |   (4585)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 168.17/25.16  | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | REDUCE: (533), (4582) imply:
% 168.17/25.16  | | | | | | | | | | | |   (4586)   ~ (all_14_2 = e0)
% 168.17/25.16  | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | BETA: splitting (238) gives:
% 168.17/25.16  | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | Case 1:
% 168.17/25.16  | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | |   (4587)  all_54_10 = e0
% 168.17/25.16  | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | COMBINE_EQS: (530), (4587) imply:
% 168.17/25.16  | | | | | | | | | | | | |   (4588)  all_10_2 = e0
% 168.17/25.16  | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | REDUCE: (3004), (4588) imply:
% 168.17/25.16  | | | | | | | | | | | | |   (4589)  $false
% 168.17/25.16  | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | CLOSE: (4589) is inconsistent.
% 168.17/25.16  | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | Case 2:
% 168.17/25.16  | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | |   (4590)   ~ (all_54_10 = e0)
% 168.17/25.16  | | | | | | | | | | | | |   (4591)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 168.17/25.16  | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | BETA: splitting (243) gives:
% 168.17/25.16  | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | Case 1:
% 168.17/25.16  | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | |   (4592)  all_54_5 = e0
% 168.17/25.16  | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | REF_CLOSE: (531), (4577), (4592) are inconsistent by
% 168.17/25.16  | | | | | | | | | | | | | |            sub-proof #983.
% 168.17/25.16  | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | Case 2:
% 168.17/25.16  | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | |   (4593)   ~ (all_54_5 = e0)
% 168.17/25.16  | | | | | | | | | | | | | |   (4594)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 168.17/25.16  | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 168.17/25.16  | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | Case 1:
% 168.17/25.16  | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | |   (4595)  all_54_15 = e0
% 168.17/25.16  | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | COMBINE_EQS: (341), (4595) imply:
% 168.17/25.16  | | | | | | | | | | | | | | |   (4596)  all_14_2 = e0
% 168.17/25.16  | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | REDUCE: (4586), (4596) imply:
% 168.17/25.16  | | | | | | | | | | | | | | |   (4597)  $false
% 168.17/25.16  | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | CLOSE: (4597) is inconsistent.
% 168.17/25.16  | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | Case 2:
% 168.17/25.16  | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | |   (4598)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 168.17/25.16  | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 168.17/25.16  | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | Case 1:
% 168.17/25.16  | | | | | | | | | | | | | | | | 
% 168.17/25.16  | | | | | | | | | | | | | | | |   (4599)  all_54_13 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (4599) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | |   (4600)  all_52_7 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (4600) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | |   (4601)  all_56_13 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (4600) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | |   (4602)  all_58_23 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | REDUCE: (179), (4600) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | |   (4603)   ~ (all_52_4 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | REDUCE: (172), (4600) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | |   (4604)   ~ (all_52_6 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | REDUCE: (169), (4600) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | |   (4605)   ~ (all_52_11 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | SIMP: (4605) implies:
% 168.17/25.17  | | | | | | | | | | | | | | | |   (4606)   ~ (all_52_11 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | REDUCE: (562), (4600) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | |   (4607)   ~ (all_4_2 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | REDUCE: (632), (4600) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | |   (4608)  op(e0, e0) = all_58_13
% 168.17/25.17  | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 168.17/25.17  | | | | | | | | | | | | | | | |              all_58_13, e0, e0, simplifying with (61), (4608)
% 168.17/25.17  | | | | | | | | | | | | | | | |              gives:
% 168.17/25.17  | | | | | | | | | | | | | | | |   (4609)  all_58_13 = all_14_2
% 168.17/25.17  | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 168.17/25.17  | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | |   (4610)  all_56_6 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (4610) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | |   (4611)  all_52_2 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (4611) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | |   (4612)  all_58_18 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | REDUCE: (193), (4611) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | |   (4613)   ~ (all_52_1 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | REDUCE: (188), (4611) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | |   (4614)   ~ (all_52_3 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | SIMP: (4614) implies:
% 168.17/25.17  | | | | | | | | | | | | | | | | |   (4615)   ~ (all_52_3 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | REDUCE: (187), (4611) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | |   (4616)   ~ (all_52_6 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | REDUCE: (185), (4611) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | |   (4617)   ~ (all_52_14 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | SIMP: (4617) implies:
% 168.17/25.17  | | | | | | | | | | | | | | | | |   (4618)   ~ (all_52_14 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | REDUCE: (546), (4611) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | |   (4619)   ~ (all_6_2 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | SIMP: (4619) implies:
% 168.17/25.17  | | | | | | | | | | | | | | | | |   (4620)   ~ (all_6_2 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (41), (42), (51),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (52), (154), (156), (157), (161), (162), (164),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (165), (167), (170), (177), (178), (180), (189),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (190), (192), (203), (208), (213), (214), (236),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (239), (241), (247), (248), (268), (269), (271),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (272), (275), (276), (277), (281), (282), (284),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (286), (287), (290), (291), (292), (293), (294),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (295), (330), (331), (332), (334), (335), (347),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (351), (356), (368), (374), (377), (386), (389),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (390), (395), (396), (407), (411), (425), (429),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (431), (439), (441), (446), (456), (462), (465),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (530), (531), (532), (533), (534), (535), (536),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (537), (538), (539), (542), (544), (548), (550),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (552), (554), (555), (558), (560), (564), (566),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (567), (569), (570), (574), (576), (577), (578),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (619), (620), (626), (629), (631), (3000), (4433),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (4577), (4585), (4591), (4594), (4601), (4602),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (4603), (4604), (4610), (4612), (4613), (4615),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (4618), (4620), (function-axioms) are inconsistent
% 168.17/25.17  | | | | | | | | | | | | | | | | |            by sub-proof #152.
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | |   (4621)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (51), (52),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (62), (154), (157), (161), (162), (164), (165),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (167), (170), (177), (178), (180), (183), (184),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (185), (187), (188), (189), (190), (192), (193),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (203), (204), (207), (208), (212), (234), (236),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (239), (240), (241), (242), (244), (245), (247),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (248), (269), (270), (271), (274), (275), (276),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (277), (278), (279), (281), (282), (284), (285),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (286), (287), (289), (291), (293), (295), (330),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (331), (332), (334), (335), (341), (347), (348),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (351), (356), (368), (371), (374), (377), (386),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (389), (390), (395), (396), (407), (411), (413),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (425), (429), (431), (435), (439), (441), (446),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (448), (453), (455), (456), (460), (462), (465),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (468), (531), (532), (533), (534), (535), (536),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (537), (538), (539), (541), (542), (544), (546),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (548), (550), (552), (554), (555), (556), (557),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (558), (560), (564), (566), (567), (570), (572),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (574), (575), (576), (577), (578), (619), (621),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (625), (628), (629), (630), (3004), (4426),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (4428), (4433), (4577), (4594), (4598), (4602),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (4603), (4604), (4606), (4609), (4621),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.17/25.17  | | | | | | | | | | | | | | | | |            #131.
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | End of split
% 168.17/25.17  | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | Case 2:
% 168.17/25.17  | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | |   (4622)   ~ (all_54_13 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | |   (4623)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 168.17/25.17  | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | REDUCE: (466), (4622) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | |   (4624)   ~ (all_52_7 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 168.17/25.17  | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | |   (4625)  all_56_1 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (4625) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | |   (4626)  all_52_4 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (4626) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | |   (4627)  all_58_20 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | REDUCE: (180), (4626) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | |   (4628)   ~ (all_52_6 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | SIMP: (4628) implies:
% 168.17/25.17  | | | | | | | | | | | | | | | | |   (4629)   ~ (all_52_6 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | REDUCE: (179), (4626) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | |   (4630)   ~ (all_52_7 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | REDUCE: (550), (4626) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | |   (4631)   ~ (all_6_2 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | SIMP: (4631) implies:
% 168.17/25.17  | | | | | | | | | | | | | | | | |   (4632)   ~ (all_6_2 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | REDUCE: (558), (4626) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | |   (4633)   ~ (all_4_2 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | REDUCE: (214), (4626) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | |   (4634)  op(e3, e2) = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (37), (42),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (51), (52), (154), (156), (157), (161), (162),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (164), (165), (167), (169), (170), (172), (177),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (178), (179), (180), (183), (185), (187), (188),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (189), (190), (192), (193), (203), (204), (207),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (209), (211), (213), (214), (234), (235), (236),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (239), (240), (242), (243), (244), (247), (248),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (267), (268), (269), (270), (273), (274), (275),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (277), (278), (280), (281), (282), (284), (285),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (289), (290), (291), (292), (293), (294), (295),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (330), (331), (332), (333), (334), (335), (347),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (348), (351), (356), (358), (368), (371), (374),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (377), (386), (389), (390), (395), (396), (407),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (411), (413), (425), (429), (431), (435), (439),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (441), (446), (448), (453), (455), (456), (465),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (466), (468), (521), (531), (532), (533), (534),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (540), (541),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (542), (544), (546), (548), (550), (552), (554),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (555), (556), (558), (560), (562), (564), (566),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (567), (568), (570), (572), (574), (576), (577),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (578), (621), (623), (624), (629), (630), (631),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (684), (687), (770), (2998), (3003), (3004),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (4433), (4575), (4577), (4580), (4584), (4585),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (4594), (4624), (4625), (4627), (4629), (4632),
% 168.17/25.17  | | | | | | | | | | | | | | | | |            (4634), (function-axioms) are inconsistent by
% 168.17/25.17  | | | | | | | | | | | | | | | | |            sub-proof #139.
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | |   (4635)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | BETA: splitting (4635) gives:
% 168.17/25.17  | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | |   (4636)  all_56_3 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (4636) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | | |   (4637)  all_4_2 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | REDUCE: (4577), (4637) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | | |   (4638)  $false
% 168.17/25.17  | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | CLOSE: (4638) is inconsistent.
% 168.17/25.17  | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | |   (4639)  all_56_7 = e0 | all_56_13 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | BETA: splitting (4639) gives:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | |   (4640)  all_56_7 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (4640) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | |   (4641)  all_52_6 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (368), (4641) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | |   (4642)  all_58_22 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | REDUCE: (187), (4641) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | |   (4643)   ~ (all_52_2 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | REDUCE: (180), (4641) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | |   (4644)   ~ (all_52_4 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | REDUCE: (172), (4641) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | |   (4645)   ~ (all_52_7 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | REDUCE: (170), (4641) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | |   (4646)   ~ (all_52_14 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | SIMP: (4646) implies:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | |   (4647)   ~ (all_52_14 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | REDUCE: (560), (4641) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | |   (4648)   ~ (all_4_2 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | REDUCE: (628), (4641) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | |   (4649)  op(e1, e0) = all_58_9
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 168.17/25.17  | | | | | | | | | | | | | | | | | | |              all_58_9, e0, e1, simplifying with (204), (4649)
% 168.17/25.17  | | | | | | | | | | | | | | | | | | |              gives:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | |   (4650)  all_58_9 = all_52_14
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | |   (4651)  all_54_11 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (4651) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | |   (4652)  all_52_14 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | REDUCE: (4647), (4652) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | |   (4653)  $false
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | CLOSE: (4653) is inconsistent.
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | |   (4654)   ~ (all_54_11 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | |   (4655)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | |   (4656)  all_54_1 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (4644), (4656) are inconsistent by
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | |            sub-proof #866.
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | |   (4657)   ~ (all_54_1 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | |   (4658)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | |   (4659)  all_54_7 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (4659) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | |   (4660)  all_52_13 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (189), (4660) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | |   (4661)   ~ (all_52_1 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (4660) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | |   (4662)   ~ (all_52_12 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (61), (154),
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (164), (165), (167), (169),
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | |            (172), (177), (178), (179), (180), (183), (185),
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | |            (187), (188), (189), (190), (192), (193), (203),
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | |            (207), (208), (211), (212), (237), (240), (242),
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | |            (244), (246), (247), (248), (270), (274), (275),
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | |            (278), (279), (280), (281), (282), (285), (287),
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | |            (289), (290), (291), (293), (294), (295), (330),
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | |            (331), (332), (333), (334), (335), (341), (347),
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | |            (348), (351), (356), (368), (371), (374), (377),
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | |            (386), (389), (390), (395), (396), (407), (411),
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | |            (413), (425), (429), (431), (435), (439), (441),
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | |            (446), (448), (451), (453), (455), (463), (521),
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | |            (531), (532), (533), (534), (535), (536), (537),
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | |            (538), (539), (540), (541), (542), (544), (546),
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | |            (548), (550), (552), (554), (555), (556), (558),
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | |            (560), (562), (564), (566), (569), (574), (576),
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | |            (577), (578), (619), (626), (633), (684), (2998),
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | |            (3003), (4577), (4584), (4585), (4594), (4598),
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | |            (4624), (4640), (4642), (4643), (4644), (4647),
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | |            (4650), (4661), (4662), (function-axioms) are
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #133.
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | |   (4663)   ~ (all_54_7 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (462), (4663) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | |   (4664)   ~ (all_52_13 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4585) gives:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | |   (4665)  all_56_9 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (4665) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | |   (4666)  all_52_12 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (4666) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | |   (4667)  all_58_28 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (4666) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | |   (4668)   ~ (all_52_13 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (4666) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | |   (4669)   ~ (all_6_2 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4669) implies:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | |   (4670)   ~ (all_6_2 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | |   (4671)  all_56_2 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (4671) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | |   (4672)  all_52_1 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (4672) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | |   (4673)  all_58_17 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (193), (4672) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | |   (4674)   ~ (all_52_2 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (4672) imply:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | |   (4675)   ~ (all_52_3 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4675) implies:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | |   (4676)   ~ (all_52_3 = e0)
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4584) gives:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (4677)  all_56_12 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (4676), (4677) are inconsistent by
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #919.
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (4678)  all_56_13 = e0 | all_56_14 = e0
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4678) gives:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4679)  all_56_13 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (348), (4624), (4679) are inconsistent by
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #942.
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4680)  all_56_14 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (4680) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4681)  all_52_11 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4681) implies:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4682)  all_52_11 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (4682) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4683)  all_58_27 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (4682) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4684)   ~ (all_52_8 = e0)
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (4682) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4685)   ~ (all_52_9 = e0)
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (4682) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4686)   ~ (all_14_2 = e0)
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (9), (52), (154), (161), (164),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            (177), (178), (179), (185), (188), (213), (236),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            (242), (246), (248), (270), (272), (287), (291),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            (293), (294), (295), (296), (331), (333), (334),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            (335), (351), (356), (371), (374), (377), (386),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            (396), (407), (413), (429), (439), (441), (446),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            (451), (453), (463), (465), (466), (511), (530),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            (531), (532), (533), (536), (537), (538), (539),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            (540), (541), (542), (546), (548), (550), (552),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            (556), (557), (558), (562), (564), (566), (568),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            (569), (574), (620), (676), (4572), (4577),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            (4586), (4591), (4594), (4623), (4624), (4642),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            (4643), (4644), (4655), (4658), (4664), (4665),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            (4667), (4670), (4671), (4673), (4676), (4683),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            (4684), (4685), (function-axioms) are inconsistent
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #141.
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | |   (4687)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (37), (42), (51), (52),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | |            (154), (156), (157), (162), (164), (165), (167),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | |            (185), (187), (188), (189), (190), (192), (193),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | |            (207), (211), (214), (234), (235), (239), (240),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | |            (243), (244), (247), (248), (268), (270), (273),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | |            (274), (277), (281), (282), (284), (285), (289),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | |            (290), (291), (293), (294), (295), (331), (332),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | |            (333), (335), (347), (348), (351), (356), (368),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | |            (371), (374), (377), (386), (389), (390), (395),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | |            (396), (407), (411), (413), (425), (429), (431),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | |            (435), (439), (441), (446), (448), (455), (456),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | |            (466), (468), (521), (531), (532), (533), (534),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (540), (541),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | |            (542), (544), (546), (550), (552), (554), (555),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | |            (556), (558), (560), (562), (564), (566), (567),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | |            (568), (570), (572), (574), (576), (577), (578),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | |            (629), (684), (770), (2998), (3003), (4433),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | |            (4575), (4577), (4584), (4594), (4624), (4643),
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | |            (4664), (4670), (4687), (function-axioms) are
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #140.
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | |   (4688)  all_56_10 = e0 | all_56_11 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (439), (441), (4647), (4664), (4688) are
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #414.
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | |   (4689)  all_56_13 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (348), (4624), (4689) are inconsistent by
% 168.17/25.18  | | | | | | | | | | | | | | | | | | |            sub-proof #942.
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.18  | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | End of split
% 168.17/25.18  | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | End of split
% 168.17/25.18  | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | End of split
% 168.17/25.18  | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | End of split
% 168.17/25.18  | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | End of split
% 168.17/25.18  | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | End of split
% 168.17/25.18  | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | End of split
% 168.17/25.18  | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | End of split
% 168.17/25.18  | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | Case 2:
% 168.17/25.18  | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | |   (4690)  all_24_2 = e0
% 168.17/25.18  | | | | | | | | | |   (4691)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3)
% 168.17/25.18  | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | COMBINE_EQS: (510), (4690) imply:
% 168.17/25.18  | | | | | | | | | |   (4692)  all_4_2 = e0
% 168.17/25.18  | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | SIMP: (4692) implies:
% 168.17/25.18  | | | | | | | | | |   (4693)  all_4_2 = e0
% 168.17/25.18  | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (38), (42),
% 168.17/25.18  | | | | | | | | | |            (43), (61), (62), (126), (131), (154), (156),
% 168.17/25.18  | | | | | | | | | |            (157), (161), (162), (164), (165), (167), (169),
% 168.17/25.18  | | | | | | | | | |            (170), (172), (177), (178), (179), (180), (183),
% 168.17/25.18  | | | | | | | | | |            (184), (185), (187), (188), (189), (190), (192),
% 168.17/25.18  | | | | | | | | | |            (193), (202), (203), (204), (207), (208), (209),
% 168.17/25.18  | | | | | | | | | |            (212), (234), (235), (236), (237), (238), (239),
% 168.17/25.18  | | | | | | | | | |            (240), (241), (242), (244), (245), (246), (247),
% 168.17/25.18  | | | | | | | | | |            (248), (266), (267), (269), (270), (271), (272),
% 168.17/25.18  | | | | | | | | | |            (273), (275), (276), (277), (278), (279), (280),
% 168.17/25.18  | | | | | | | | | |            (283), (284), (286), (287), (289), (290), (291),
% 168.17/25.18  | | | | | | | | | |            (292), (293), (294), (295), (330), (331), (332),
% 168.17/25.18  | | | | | | | | | |            (333), (334), (335), (347), (348), (351), (356),
% 168.17/25.18  | | | | | | | | | |            (368), (371), (374), (377), (386), (389), (390),
% 168.17/25.18  | | | | | | | | | |            (395), (396), (407), (411), (413), (425), (429),
% 168.17/25.18  | | | | | | | | | |            (431), (435), (439), (441), (446), (448), (451),
% 168.17/25.18  | | | | | | | | | |            (453), (455), (456), (460), (462), (463), (465),
% 168.17/25.18  | | | | | | | | | |            (466), (468), (494), (496), (530), (532), (533),
% 168.17/25.18  | | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 168.17/25.18  | | | | | | | | | |            (541), (542), (544), (546), (548), (550), (552),
% 168.17/25.18  | | | | | | | | | |            (554), (555), (556), (557), (558), (560), (562),
% 168.17/25.18  | | | | | | | | | |            (564), (567), (569), (570), (572), (574), (575),
% 168.17/25.18  | | | | | | | | | |            (576), (577), (578), (619), (621), (622), (624),
% 168.17/25.18  | | | | | | | | | |            (627), (630), (631), (633), (634), (674), (688),
% 168.17/25.18  | | | | | | | | | |            (740), (755), (3004), (4428), (4691), (4693),
% 168.17/25.18  | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.17/25.18  | | | | | | | | | |            #388.
% 168.17/25.18  | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | End of split
% 168.17/25.18  | | | | | | | | | 
% 168.17/25.18  | | | | | | | | End of split
% 168.17/25.18  | | | | | | | | 
% 168.17/25.18  | | | | | | | Case 2:
% 168.17/25.18  | | | | | | | | 
% 168.17/25.18  | | | | | | | |   (4694)  all_20_1 = e0
% 168.17/25.18  | | | | | | | | 
% 168.17/25.18  | | | | | | | | COMBINE_EQS: (682), (4694) imply:
% 168.17/25.18  | | | | | | | |   (4695)  all_10_1 = e0
% 168.17/25.18  | | | | | | | | 
% 168.17/25.18  | | | | | | | | SIMP: (4695) implies:
% 168.17/25.18  | | | | | | | |   (4696)  all_10_1 = e0
% 168.17/25.18  | | | | | | | | 
% 168.17/25.18  | | | | | | | | COMBINE_EQS: (646), (4696) imply:
% 168.17/25.18  | | | | | | | |   (4697)  all_34_1 = e0
% 168.17/25.18  | | | | | | | | 
% 168.17/25.18  | | | | | | | | REDUCE: (53), (4696) imply:
% 168.17/25.18  | | | | | | | |   (4698)  op(e0, all_10_2) = all_10_0
% 168.17/25.18  | | | | | | | | 
% 168.17/25.18  | | | | | | | | REDUCE: (52), (4696) imply:
% 168.17/25.18  | | | | | | | |   (4699)  op(all_10_2, e1) = e0
% 168.17/25.18  | | | | | | | | 
% 168.17/25.18  | | | | | | | | BETA: splitting (89) gives:
% 168.17/25.18  | | | | | | | | 
% 168.17/25.18  | | | | | | | | Case 1:
% 168.17/25.18  | | | | | | | | | 
% 168.17/25.18  | | | | | | | | |   (4700)   ~ (all_24_2 = e0)
% 168.17/25.18  | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | REDUCE: (510), (4700) imply:
% 168.17/25.18  | | | | | | | | |   (4701)   ~ (all_4_2 = e0)
% 168.17/25.18  | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | BETA: splitting (112) gives:
% 168.17/25.18  | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | Case 1:
% 168.17/25.18  | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | |   (4702)   ~ (all_34_1 = e0)
% 168.17/25.18  | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | REDUCE: (4697), (4702) imply:
% 168.17/25.18  | | | | | | | | | |   (4703)  $false
% 168.17/25.18  | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | CLOSE: (4703) is inconsistent.
% 168.17/25.18  | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | Case 2:
% 168.17/25.18  | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | |   (4704)   ~ (all_34_0 = e2) |  ~ (all_34_2 = e3)
% 168.17/25.18  | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | BETA: splitting (266) gives:
% 168.17/25.18  | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | Case 1:
% 168.17/25.18  | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | |   (4705)  all_56_15 = e0
% 168.17/25.18  | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | REF_CLOSE: (4), (61), (62), (533), (634), (4428), (4705),
% 168.17/25.18  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.17/25.18  | | | | | | | | | | |            #400.
% 168.17/25.18  | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | Case 2:
% 168.17/25.18  | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | |   (4706)   ~ (all_56_15 = e0)
% 168.17/25.18  | | | | | | | | | | |   (4707)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 168.17/25.18  | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 168.17/25.18  | | | | | | | | | | |             e0)
% 168.17/25.18  | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | ALPHA: (4707) implies:
% 168.17/25.18  | | | | | | | | | | |   (4708)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 168.17/25.18  | | | | | | | | | | |   (4709)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 168.17/25.18  | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | REDUCE: (533), (4706) imply:
% 168.17/25.18  | | | | | | | | | | |   (4710)   ~ (all_14_2 = e0)
% 168.17/25.18  | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | BETA: splitting (238) gives:
% 168.17/25.18  | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | Case 1:
% 168.17/25.18  | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | |   (4711)  all_54_10 = e0
% 168.17/25.18  | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | COMBINE_EQS: (530), (4711) imply:
% 168.17/25.18  | | | | | | | | | | | |   (4712)  all_10_2 = e0
% 168.17/25.18  | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | REDUCE: (3004), (4712) imply:
% 168.17/25.18  | | | | | | | | | | | |   (4713)  $false
% 168.17/25.18  | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | CLOSE: (4713) is inconsistent.
% 168.17/25.18  | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | Case 2:
% 168.17/25.18  | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | |   (4714)   ~ (all_54_10 = e0)
% 168.17/25.18  | | | | | | | | | | | |   (4715)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 168.17/25.18  | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | BETA: splitting (243) gives:
% 168.17/25.18  | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | Case 1:
% 168.17/25.18  | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | |   (4716)  all_54_5 = e0
% 168.17/25.18  | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | REF_CLOSE: (531), (4701), (4716) are inconsistent by
% 168.17/25.18  | | | | | | | | | | | | |            sub-proof #983.
% 168.17/25.18  | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | Case 2:
% 168.17/25.18  | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | |   (4717)   ~ (all_54_5 = e0)
% 168.17/25.18  | | | | | | | | | | | | |   (4718)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 168.17/25.18  | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | BETA: splitting (233) gives:
% 168.17/25.18  | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | Case 1:
% 168.17/25.18  | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | |   (4719)  all_54_15 = e0
% 168.17/25.18  | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | COMBINE_EQS: (341), (4719) imply:
% 168.17/25.18  | | | | | | | | | | | | | |   (4720)  all_14_2 = e0
% 168.17/25.18  | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | REDUCE: (4710), (4720) imply:
% 168.17/25.18  | | | | | | | | | | | | | |   (4721)  $false
% 168.17/25.18  | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | CLOSE: (4721) is inconsistent.
% 168.17/25.18  | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | Case 2:
% 168.17/25.18  | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | |   (4722)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 168.17/25.18  | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 168.17/25.18  | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | Case 1:
% 168.17/25.18  | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | |   (4723)  all_54_12 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | COMBINE_EQS: (465), (4723) imply:
% 168.17/25.18  | | | | | | | | | | | | | | |   (4724)  all_52_3 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | COMBINE_EQS: (351), (4724) imply:
% 168.17/25.18  | | | | | | | | | | | | | | |   (4725)  all_56_12 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | REDUCE: (188), (4724) imply:
% 168.17/25.18  | | | | | | | | | | | | | | |   (4726)   ~ (all_52_2 = e0)
% 168.17/25.18  | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | REDUCE: (184), (4724) imply:
% 168.17/25.18  | | | | | | | | | | | | | | |   (4727)   ~ (all_52_7 = e0)
% 168.17/25.18  | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | SIMP: (4727) implies:
% 168.17/25.18  | | | | | | | | | | | | | | |   (4728)   ~ (all_52_7 = e0)
% 168.17/25.18  | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | REDUCE: (183), (4724) imply:
% 168.17/25.18  | | | | | | | | | | | | | | |   (4729)   ~ (all_52_11 = e0)
% 168.17/25.18  | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | SIMP: (4729) implies:
% 168.17/25.18  | | | | | | | | | | | | | | |   (4730)   ~ (all_52_11 = e0)
% 168.17/25.18  | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | REDUCE: (548), (4724) imply:
% 168.17/25.18  | | | | | | | | | | | | | | |   (4731)   ~ (all_6_2 = e0)
% 168.17/25.18  | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | SIMP: (4731) implies:
% 168.17/25.18  | | | | | | | | | | | | | | |   (4732)   ~ (all_6_2 = e0)
% 168.17/25.18  | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 168.17/25.18  | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | Case 1:
% 168.17/25.18  | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | |   (4733)  all_56_1 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (4733) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | |   (4734)  all_52_4 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (4734) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | |   (4735)  all_58_20 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | REDUCE: (180), (4734) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | |   (4736)   ~ (all_52_6 = e0)
% 168.17/25.18  | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | SIMP: (4736) implies:
% 168.17/25.18  | | | | | | | | | | | | | | | |   (4737)   ~ (all_52_6 = e0)
% 168.17/25.18  | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | REDUCE: (178), (4734) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | |   (4738)   ~ (all_52_8 = e0)
% 168.17/25.18  | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | SIMP: (4738) implies:
% 168.17/25.18  | | | | | | | | | | | | | | | |   (4739)   ~ (all_52_8 = e0)
% 168.17/25.18  | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | REDUCE: (214), (4734) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | |   (4740)  op(e3, e2) = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 168.17/25.18  | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.18  | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | |   (4741)  all_56_6 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (4741) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | | |   (4742)  all_52_2 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | REDUCE: (4726), (4742) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | | |   (4743)  $false
% 168.17/25.18  | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | CLOSE: (4743) is inconsistent.
% 168.17/25.18  | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.18  | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | |   (4744)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 168.17/25.18  | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | |   (4745)  all_56_4 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (4745) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | | | |   (4746)  all_52_8 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | REDUCE: (4739), (4746) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | | | |   (4747)  $false
% 168.17/25.18  | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | CLOSE: (4747) is inconsistent.
% 168.17/25.18  | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | |   (4748)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | BETA: splitting (4748) gives:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | |   (4749)  all_56_5 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (4749) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | |   (4750)  all_52_9 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (377), (4750) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | |   (4751)  all_58_25 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | REDUCE: (570), (4750) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | |   (4752)   ~ (all_10_2 = e0)
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | BETA: splitting (4744) gives:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | |   (4753)  all_56_7 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (4753) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | |   (4754)  all_52_6 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | REDUCE: (4737), (4754) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | |   (4755)  $false
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | CLOSE: (4755) is inconsistent.
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | |   (4756)  all_56_8 = e0 | all_56_11 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | BETA: splitting (4756) gives:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | |   (4757)  all_56_8 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (4757) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | |   (4758)  all_10_2 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | REDUCE: (3004), (4758) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | |   (4759)  $false
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | CLOSE: (4759) is inconsistent.
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | |   (4760)  all_56_11 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (4760) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | |   (4761)  all_52_14 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | SIMP: (4761) implies:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | |   (4762)  all_52_14 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (356), (4762) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | |   (4763)  all_58_30 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (4762) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | |   (4764)   ~ (all_14_2 = e0)
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | |   (4765)  all_54_0 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (532), (4732), (4765) are inconsistent by
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #984.
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | |   (4766)   ~ (all_54_0 = e0)
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | |   (4767)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | |   (4768)  all_58_27 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (4768) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | |   (4769)  all_52_11 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4730), (4769) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | |   (4770)  $false
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4770) is inconsistent.
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | |   (4771)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | |   (4772)  all_58_31 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (537), (4772) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | |   (4773)  all_14_2 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4710), (4773) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | |   (4774)  $false
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4774) is inconsistent.
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | |   (4775)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | |   (4776)  all_58_23 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (4776) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | |   (4777)  all_52_7 = e0
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4728), (4777) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | |   (4778)  $false
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4778) is inconsistent.
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | |   (4779)   ~ (all_58_23 = e0)
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | |   (4780)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4781)  all_56_0 = e1
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (4781) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4782)  all_6_2 = e1
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (521), (4782) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4783)  all_8_2 = e1
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (4782) imply:
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4784)  op(e1, e3) = all_6_1
% 168.17/25.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (37), (207), (284), (293),
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | |            (333), (368), (386), (411), (413), (531), (535),
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | |            (540), (555), (560), (684), (770), (3003), (4718),
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | |            (4725), (4728), (4735), (4740), (4781), (4783),
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | |            (4784), (function-axioms) are inconsistent by
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #215.
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4785)   ~ (all_56_0 = e1)
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4786)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (4785) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4787)   ~ (all_6_2 = e1)
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (295) gives:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4788)  all_56_0 = e3
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (4788) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4789)  all_6_2 = e3
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (51), (395), (539), (552), (629), (3004),
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4699), (4751), (4771), (4789), (function-axioms)
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #362.
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4790)   ~ (all_56_0 = e3)
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (4790) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4791)   ~ (all_6_2 = e3)
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4767) gives:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4792)  all_54_0 = e1
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (532), (4787), (4792) are inconsistent by
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #951.
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4793)  all_54_0 = e3 | all_54_0 = e2
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4793) gives:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4794)  all_54_0 = e2
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (4794) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4795)  all_6_2 = e2
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4795) implies:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4796)  all_6_2 = e2
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (4796) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4797)  op(e2, e3) = all_6_1
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2998) gives:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4798)   ~ (all_6_1 = e1)
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_6_1, e3, e2, simplifying with (211), (4797)
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4799)  all_52_1 = all_6_1
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (4799) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4800)  all_56_2 = all_6_1
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4786) gives:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4801)  all_56_2 = e1
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4800), (4801) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4802)  all_6_1 = e1
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4798), (4802) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4803)  $false
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4803) is inconsistent.
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4804)  all_56_6 = e1 | all_56_12 = e1
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (164), (187), (368), (374), (386),
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (395), (413), (538), (539), (556), (566), (4725),
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4726), (4735), (4739), (4751), (4763), (4771),
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4775), (4780), (4804) are inconsistent by
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #213.
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4805)   ~ (all_6_2 = e2)
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (532), (4791), (4793), (4805) are inconsistent by
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #843.
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4806)  all_54_0 = e3
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (532), (4791), (4806) are inconsistent by
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #945.
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | |   (4807)  all_56_8 = e0 | all_56_14 = e0
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (534), (3004), (4730), (4807) are
% 168.17/25.19  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #914.
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | End of split
% 168.17/25.19  | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | End of split
% 168.17/25.19  | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | End of split
% 168.17/25.19  | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | Case 2:
% 168.17/25.19  | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | |   (4808)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 168.17/25.19  | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (42), (51), (154), (156),
% 168.17/25.19  | | | | | | | | | | | | | | | |            (157), (161), (162), (164), (165), (167), (170),
% 168.17/25.19  | | | | | | | | | | | | | | | |            (172), (177), (178), (180), (189), (190), (193),
% 168.17/25.19  | | | | | | | | | | | | | | | |            (207), (211), (244), (245), (247), (248), (277),
% 168.17/25.19  | | | | | | | | | | | | | | | |            (279), (282), (288), (290), (291), (293), (294),
% 168.17/25.19  | | | | | | | | | | | | | | | |            (331), (332), (333), (347), (348), (356), (368),
% 168.17/25.19  | | | | | | | | | | | | | | | |            (374), (377), (386), (390), (395), (396), (411),
% 168.17/25.19  | | | | | | | | | | | | | | | |            (413), (425), (429), (431), (435), (439), (441),
% 168.17/25.19  | | | | | | | | | | | | | | | |            (446), (448), (460), (521), (532), (534), (535),
% 168.17/25.19  | | | | | | | | | | | | | | | |            (536), (537), (538), (539), (540), (541), (544),
% 168.17/25.19  | | | | | | | | | | | | | | | |            (546), (550), (552), (554), (555), (556), (558),
% 168.17/25.19  | | | | | | | | | | | | | | | |            (564), (567), (569), (570), (574), (576), (577),
% 168.17/25.19  | | | | | | | | | | | | | | | |            (629), (684), (2998), (3003), (4699), (4701),
% 168.17/25.19  | | | | | | | | | | | | | | | |            (4709), (4725), (4728), (4730), (4732), (4808),
% 168.17/25.19  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.17/25.19  | | | | | | | | | | | | | | | |            #129.
% 168.17/25.19  | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | End of split
% 168.17/25.19  | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | Case 2:
% 168.17/25.19  | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | |   (4809)   ~ (all_54_12 = e0)
% 168.17/25.19  | | | | | | | | | | | | | | |   (4810)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 168.17/25.19  | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | REDUCE: (465), (4809) imply:
% 168.17/25.19  | | | | | | | | | | | | | | |   (4811)   ~ (all_52_3 = e0)
% 168.17/25.19  | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 168.17/25.19  | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | Case 1:
% 168.17/25.19  | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | |   (4812)  all_54_13 = e0
% 168.17/25.19  | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (4812) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | |   (4813)  all_52_7 = e0
% 168.17/25.19  | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (4813) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | |   (4814)  all_56_13 = e0
% 168.17/25.19  | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (4813) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | |   (4815)  all_58_23 = e0
% 168.17/25.19  | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | REDUCE: (179), (4813) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | |   (4816)   ~ (all_52_4 = e0)
% 168.17/25.19  | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | REDUCE: (172), (4813) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | |   (4817)   ~ (all_52_6 = e0)
% 168.17/25.19  | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | REDUCE: (169), (4813) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | |   (4818)   ~ (all_52_11 = e0)
% 168.17/25.19  | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | SIMP: (4818) implies:
% 168.17/25.19  | | | | | | | | | | | | | | | |   (4819)   ~ (all_52_11 = e0)
% 168.17/25.19  | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | REDUCE: (562), (4813) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | |   (4820)   ~ (all_4_2 = e0)
% 168.17/25.19  | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | REDUCE: (632), (4813) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | |   (4821)  op(e0, e0) = all_58_13
% 168.17/25.19  | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 168.17/25.19  | | | | | | | | | | | | | | | |              all_58_13, e0, e0, simplifying with (61), (4821)
% 168.17/25.19  | | | | | | | | | | | | | | | |              gives:
% 168.17/25.19  | | | | | | | | | | | | | | | |   (4822)  all_58_13 = all_14_2
% 168.17/25.19  | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 168.17/25.19  | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.19  | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | |   (4823)  all_56_6 = e0
% 168.17/25.19  | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (4823) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | | |   (4824)  all_52_2 = e0
% 168.17/25.19  | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (4824) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | | |   (4825)  all_58_18 = e0
% 168.17/25.19  | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | REDUCE: (193), (4824) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | | |   (4826)   ~ (all_52_1 = e0)
% 168.17/25.19  | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | REDUCE: (188), (4824) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | | |   (4827)   ~ (all_52_3 = e0)
% 168.17/25.19  | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | REDUCE: (187), (4824) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | | |   (4828)   ~ (all_52_6 = e0)
% 168.17/25.19  | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | REDUCE: (185), (4824) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | | |   (4829)   ~ (all_52_14 = e0)
% 168.17/25.19  | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | SIMP: (4829) implies:
% 168.17/25.19  | | | | | | | | | | | | | | | | |   (4830)   ~ (all_52_14 = e0)
% 168.17/25.19  | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | REDUCE: (546), (4824) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | | |   (4831)   ~ (all_6_2 = e0)
% 168.17/25.19  | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | SIMP: (4831) implies:
% 168.17/25.19  | | | | | | | | | | | | | | | | |   (4832)   ~ (all_6_2 = e0)
% 168.17/25.19  | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 168.17/25.19  | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | |   (4833)  all_56_4 = e0
% 168.17/25.19  | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (4833) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | | | |   (4834)  all_52_8 = e0
% 168.17/25.19  | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (4834) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | | | |   (4835)  all_58_24 = e0
% 168.17/25.19  | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | REDUCE: (167), (4834) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | | | |   (4836)   ~ (all_52_9 = e0)
% 168.17/25.19  | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | SIMP: (4836) implies:
% 168.17/25.19  | | | | | | | | | | | | | | | | | |   (4837)   ~ (all_52_9 = e0)
% 168.17/25.19  | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | REDUCE: (569), (4834) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | | | |   (4838)   ~ (all_10_2 = e0)
% 168.17/25.19  | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | |   (4839)  all_56_2 = e0
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (4839) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | |   (4840)  all_52_1 = e0
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | REDUCE: (4826), (4840) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | |   (4841)  $false
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | CLOSE: (4841) is inconsistent.
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | |   (4842)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | BETA: splitting (4842) gives:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | |   (4843)  all_56_3 = e0
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (4843) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | |   (4844)  all_4_2 = e0
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | REDUCE: (4701), (4844) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | |   (4845)  $false
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | CLOSE: (4845) is inconsistent.
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | |   (4846)  all_56_5 = e0 | all_56_10 = e0
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | BETA: splitting (4846) gives:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | |   (4847)  all_56_5 = e0
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (4847) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | |   (4848)  all_52_9 = e0
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | REDUCE: (4837), (4848) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | |   (4849)  $false
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | CLOSE: (4849) is inconsistent.
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | |   (4850)  all_56_10 = e0
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (4850) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | |   (4851)  all_52_13 = e0
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | SIMP: (4851) implies:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | |   (4852)  all_52_13 = e0
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (4852) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | |   (4853)  all_58_29 = e0
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (4852) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | |   (4854)   ~ (all_52_12 = e0)
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | 
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (4852) imply:
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | |   (4855)   ~ (all_14_2 = e0)
% 168.17/25.19  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (51), (161), (189),
% 168.26/25.19  | | | | | | | | | | | | | | | | | | | | |            (190), (192), (203), (244), (248), (267), (269),
% 168.26/25.19  | | | | | | | | | | | | | | | | | | | | |            (293), (295), (331), (332), (335), (341), (347),
% 168.26/25.19  | | | | | | | | | | | | | | | | | | | | |            (351), (356), (374), (377), (389), (390), (407),
% 168.26/25.19  | | | | | | | | | | | | | | | | | | | | |            (411), (435), (439), (441), (448), (465), (504),
% 168.26/25.19  | | | | | | | | | | | | | | | | | | | | |            (530), (532), (533), (536), (537), (538), (539),
% 168.26/25.19  | | | | | | | | | | | | | | | | | | | | |            (542), (544), (548), (554), (557), (570), (572),
% 168.26/25.19  | | | | | | | | | | | | | | | | | | | | |            (574), (575), (577), (578), (629), (634), (767),
% 168.26/25.19  | | | | | | | | | | | | | | | | | | | | |            (3004), (4698), (4699), (4704), (4709), (4710),
% 168.26/25.19  | | | | | | | | | | | | | | | | | | | | |            (4715), (4722), (4810), (4811), (4814), (4819),
% 168.26/25.19  | | | | | | | | | | | | | | | | | | | | |            (4823), (4825), (4830), (4832), (4835), (4853),
% 168.26/25.19  | | | | | | | | | | | | | | | | | | | | |            (4854), (function-axioms) are inconsistent by
% 168.26/25.19  | | | | | | | | | | | | | | | | | | | | |            sub-proof #138.
% 168.26/25.19  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.19  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.19  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.19  | | | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.19  | | | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | | |   (4856)   ~ (all_56_4 = e0)
% 168.26/25.19  | | | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | | | REDUCE: (429), (4856) imply:
% 168.26/25.19  | | | | | | | | | | | | | | | | | |   (4857)   ~ (all_52_8 = e0)
% 168.26/25.19  | | | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (51), (154),
% 168.26/25.19  | | | | | | | | | | | | | | | | | |            (156), (157), (161), (164), (167), (169), (170),
% 168.26/25.19  | | | | | | | | | | | | | | | | | |            (172), (177), (178), (179), (180), (184), (185),
% 168.26/25.19  | | | | | | | | | | | | | | | | | |            (187), (188), (189), (190), (192), (193), (209),
% 168.26/25.19  | | | | | | | | | | | | | | | | | |            (214), (236), (239), (241), (242), (244), (247),
% 168.26/25.19  | | | | | | | | | | | | | | | | | |            (248), (271), (272), (273), (276), (278), (280),
% 168.26/25.19  | | | | | | | | | | | | | | | | | |            (281), (282), (285), (286), (289), (290), (292),
% 168.26/25.19  | | | | | | | | | | | | | | | | | |            (294), (296), (331), (332), (333), (334), (335),
% 168.26/25.19  | | | | | | | | | | | | | | | | | |            (347), (348), (351), (356), (368), (371), (374),
% 168.26/25.19  | | | | | | | | | | | | | | | | | |            (377), (386), (389), (390), (395), (396), (407),
% 168.26/25.19  | | | | | | | | | | | | | | | | | |            (411), (413), (425), (429), (431), (435), (439),
% 168.26/25.19  | | | | | | | | | | | | | | | | | |            (441), (446), (448), (453), (456), (462), (465),
% 168.26/25.19  | | | | | | | | | | | | | | | | | |            (530), (531), (532), (533), (534), (535), (536),
% 168.26/25.19  | | | | | | | | | | | | | | | | | |            (537), (538), (539), (540), (541), (542), (544),
% 168.26/25.19  | | | | | | | | | | | | | | | | | |            (546), (548), (550), (552), (554), (555), (558),
% 168.26/25.19  | | | | | | | | | | | | | | | | | |            (560), (562), (564), (566), (567), (568), (569),
% 168.26/25.19  | | | | | | | | | | | | | | | | | |            (570), (574), (577), (578), (622), (623), (629),
% 168.26/25.19  | | | | | | | | | | | | | | | | | |            (770), (4699), (4701), (4708), (4709), (4715),
% 168.26/25.19  | | | | | | | | | | | | | | | | | |            (4718), (4811), (4817), (4823), (4825), (4826),
% 168.26/25.19  | | | | | | | | | | | | | | | | | |            (4830), (4832), (4857), (function-axioms) are
% 168.26/25.19  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #159.
% 168.26/25.19  | | | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | | End of split
% 168.26/25.19  | | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.19  | | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | |   (4858)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 168.26/25.19  | | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (51), (154),
% 168.26/25.19  | | | | | | | | | | | | | | | | |            (157), (161), (162), (164), (165), (167), (170),
% 168.26/25.19  | | | | | | | | | | | | | | | | |            (177), (180), (183), (184), (185), (187), (189),
% 168.26/25.19  | | | | | | | | | | | | | | | | |            (190), (192), (193), (203), (204), (208), (212),
% 168.26/25.19  | | | | | | | | | | | | | | | | |            (234), (239), (241), (244), (245), (247), (248),
% 168.26/25.19  | | | | | | | | | | | | | | | | |            (270), (276), (277), (278), (279), (281), (282),
% 168.26/25.19  | | | | | | | | | | | | | | | | |            (284), (285), (286), (287), (289), (291), (293),
% 168.26/25.19  | | | | | | | | | | | | | | | | |            (295), (330), (331), (332), (334), (335), (341),
% 168.26/25.19  | | | | | | | | | | | | | | | | |            (347), (348), (351), (356), (368), (371), (374),
% 168.26/25.19  | | | | | | | | | | | | | | | | |            (377), (386), (389), (390), (395), (396), (407),
% 168.26/25.19  | | | | | | | | | | | | | | | | |            (411), (413), (425), (429), (431), (435), (439),
% 168.26/25.19  | | | | | | | | | | | | | | | | |            (441), (446), (448), (456), (460), (462), (468),
% 168.26/25.19  | | | | | | | | | | | | | | | | |            (532), (534), (535), (536), (537), (538), (539),
% 168.26/25.19  | | | | | | | | | | | | | | | | |            (541), (542), (544), (546), (548), (550), (552),
% 168.26/25.19  | | | | | | | | | | | | | | | | |            (554), (556), (558), (564), (567), (569), (572),
% 168.26/25.19  | | | | | | | | | | | | | | | | |            (574), (576), (577), (578), (619), (625), (629),
% 168.26/25.19  | | | | | | | | | | | | | | | | |            (630), (3004), (4699), (4701), (4722), (4815),
% 168.26/25.19  | | | | | | | | | | | | | | | | |            (4816), (4817), (4819), (4822), (4858),
% 168.26/25.19  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.26/25.19  | | | | | | | | | | | | | | | | |            #135.
% 168.26/25.19  | | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | End of split
% 168.26/25.19  | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | Case 2:
% 168.26/25.19  | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | |   (4859)   ~ (all_54_13 = e0)
% 168.26/25.19  | | | | | | | | | | | | | | | |   (4860)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 168.26/25.19  | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | REDUCE: (466), (4859) imply:
% 168.26/25.19  | | | | | | | | | | | | | | | |   (4861)   ~ (all_52_7 = e0)
% 168.26/25.19  | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | BETA: splitting (4708) gives:
% 168.26/25.19  | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.19  | | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | |   (4862)  all_56_12 = e0
% 168.26/25.19  | | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (4811), (4862) are inconsistent by
% 168.26/25.19  | | | | | | | | | | | | | | | | |            sub-proof #919.
% 168.26/25.19  | | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.19  | | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | |   (4863)  all_56_13 = e0 | all_56_14 = e0
% 168.26/25.19  | | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | | BETA: splitting (4863) gives:
% 168.26/25.19  | | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.19  | | | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | | |   (4864)  all_56_13 = e0
% 168.26/25.19  | | | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | | | REF_CLOSE: (348), (4861), (4864) are inconsistent by
% 168.26/25.19  | | | | | | | | | | | | | | | | | |            sub-proof #942.
% 168.26/25.19  | | | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.19  | | | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | | |   (4865)  all_56_14 = e0
% 168.26/25.19  | | | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (4865) imply:
% 168.26/25.19  | | | | | | | | | | | | | | | | | |   (4866)  all_52_11 = e0
% 168.26/25.19  | | | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | | | SIMP: (4866) implies:
% 168.26/25.19  | | | | | | | | | | | | | | | | | |   (4867)  all_52_11 = e0
% 168.26/25.19  | | | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (4867) imply:
% 168.26/25.19  | | | | | | | | | | | | | | | | | |   (4868)  all_58_27 = e0
% 168.26/25.19  | | | | | | | | | | | | | | | | | | 
% 168.26/25.19  | | | | | | | | | | | | | | | | | | REDUCE: (162), (4867) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | |   (4869)   ~ (all_52_9 = e0)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | REDUCE: (572), (4867) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | |   (4870)   ~ (all_10_2 = e0)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | REDUCE: (633), (4867) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | |   (4871)  op(e0, e0) = all_58_14
% 168.26/25.20  | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 168.26/25.20  | | | | | | | | | | | | | | | | | |              all_58_14, e0, e0, simplifying with (61), (4871)
% 168.26/25.20  | | | | | | | | | | | | | | | | | |              gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | |   (4872)  all_58_14 = all_14_2
% 168.26/25.20  | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | |   (4873)  all_56_1 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (4873) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | |   (4874)  all_52_4 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (4874) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | |   (4875)  all_58_20 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | REDUCE: (180), (4874) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | |   (4876)   ~ (all_52_6 = e0)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | SIMP: (4876) implies:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | |   (4877)   ~ (all_52_6 = e0)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | REDUCE: (179), (4874) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | |   (4878)   ~ (all_52_7 = e0)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | REDUCE: (178), (4874) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | |   (4879)   ~ (all_52_8 = e0)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | SIMP: (4879) implies:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | |   (4880)   ~ (all_52_8 = e0)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | REDUCE: (550), (4874) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | |   (4881)   ~ (all_6_2 = e0)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | SIMP: (4881) implies:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | |   (4882)   ~ (all_6_2 = e0)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | REDUCE: (558), (4874) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | |   (4883)   ~ (all_4_2 = e0)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | REDUCE: (214), (4874) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | |   (4884)  op(e3, e2) = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | |   (4885)  all_56_2 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (4885) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | |   (4886)  all_52_1 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (4886) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | |   (4887)  all_58_17 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | REDUCE: (193), (4886) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | |   (4888)   ~ (all_52_2 = e0)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | SIMP: (4888) implies:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | |   (4889)   ~ (all_52_2 = e0)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (4886) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | |   (4890)   ~ (all_52_3 = e0)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (4886) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | |   (4891)   ~ (all_52_9 = e0)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | |   (4892)  all_56_6 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (413), (4889), (4892) are inconsistent by
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | |            sub-proof #520.
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | |   (4893)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4893) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | |   (4894)  all_56_7 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (425), (4877), (4894) are inconsistent by
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #518.
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | |   (4895)  all_56_8 = e0 | all_56_11 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4895) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | |   (4896)  all_56_8 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (534), (3004), (4896) are inconsistent by
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #916.
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | |   (4897)  all_56_11 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (4897) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | |   (4898)  all_52_14 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4898) implies:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | |   (4899)  all_52_14 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (356), (4899) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | |   (4900)  all_58_30 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (156), (4899) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | |   (4901)   ~ (all_52_12 = e0)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (154), (4899) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | |   (4902)   ~ (all_52_13 = e0)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (4899) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | |   (4903)   ~ (all_14_2 = e0)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | |   (4904)  all_54_0 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (532), (4882), (4904) are inconsistent by
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #984.
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | |   (4905)   ~ (all_54_0 = e0)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | |   (4906)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | |   (4907)  all_54_6 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (4869), (4907) are inconsistent by
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #901.
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | |   (4908)   ~ (all_54_6 = e0)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | |   (4909)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4910)  all_54_3 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (460), (4901), (4910) are inconsistent by
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #898.
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4911)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4912)  all_54_7 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (4902), (4912) are inconsistent by
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #714.
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4913)   ~ (all_54_7 = e0)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4914)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4915)  all_58_31 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (537), (4915) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4916)  all_14_2 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4710), (4916) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4917)  $false
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4917) is inconsistent.
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4918)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4919)  all_58_23 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (4919) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4920)  all_52_7 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4861), (4920) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4921)  $false
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4921) is inconsistent.
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4922)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4923)  all_58_19 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (4923) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4924)  all_52_3 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4811), (4924) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4925)  $false
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4925) is inconsistent.
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4926)   ~ (all_58_19 = e0)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4927)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4928)  all_56_12 = e3
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (4928) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4929)  all_52_3 = e3
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4929) implies:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4930)  all_52_3 = e3
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (4930) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4931)   ~ (all_6_2 = e3)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4931) implies:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4932)   ~ (all_6_2 = e3)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4927) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4933)  all_58_18 = e1
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (4933) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4934)  all_52_2 = e1
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4934) implies:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4935)  all_52_2 = e1
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (4935) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4936)  all_56_6 = e1
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (4935) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4937)   ~ (all_52_6 = e1)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4937) implies:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4938)   ~ (all_52_6 = e1)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4922) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4939)  all_58_22 = e1
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (368), (4938), (4939) are inconsistent by
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #677.
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4940)  all_58_20 = e3 | all_58_21 = e2
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4940) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4941)  all_58_21 = e2
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (386), (4941) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4942)  all_4_2 = e2
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4942) implies:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4943)  all_4_2 = e2
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (560), (4943) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4944)   ~ (all_52_6 = e2)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (4943) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4945)   ~ (all_52_13 = e2)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (275) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4946)  all_56_6 = e2
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4936), (4946) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4947)  e2 = e1
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (4947) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4948)  $false
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4948) is inconsistent.
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4949)  all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4949) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4950)  all_56_7 = e2
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (425), (4944), (4950) are inconsistent by
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #760.
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4951)  all_56_8 = e2 | all_56_11 = e2
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4951) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4952)  all_56_8 = e2
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (4952) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4953)  all_10_2 = e2
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4953) implies:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4954)  all_10_2 = e2
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (570), (4954) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4955)   ~ (all_52_9 = e2)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4699), (4954) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4956)  op(e2, e1) = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4918) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4957)  all_58_30 = e1
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4900), (4957) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4958)  e1 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (4958) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4959)  $false
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4959) is inconsistent.
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4960)  all_58_28 = e3 | all_58_29 = e2
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4960) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4961)  all_58_29 = e2
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (4961) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4962)  all_52_13 = e2
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4962) implies:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4963)  all_52_13 = e2
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4945), (4963) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4964)  $false
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4964) is inconsistent.
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4965)  all_58_28 = e3
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4966)   ~ (all_58_29 = e2)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (4965) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4967)  all_52_12 = e3
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (4967) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4968)   ~ (all_52_8 = e3)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (4967) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4969)   ~ (all_52_13 = e3)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4969) implies:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4970)   ~ (all_52_13 = e3)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4971)  all_56_4 = e3
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (429), (4968), (4971) are inconsistent by
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #172.
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4972)  all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4972) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4973)  all_56_5 = e3
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (4973) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4974)  all_52_9 = e3
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4974) implies:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4975)  all_52_9 = e3
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (209), (4975) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4976)  op(e2, e1) = e3
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4914) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4977)  all_54_7 = e1
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (4977) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4978)  all_52_13 = e1
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4978) implies:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4979)  all_52_13 = e1
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (626), (4979) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4980)  op(e2, e1) = all_58_7
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_58_7,
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (4976), (4980) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4981)  all_58_7 = e3
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_58_7,
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (4956), (4980) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4982)  all_58_7 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4981), (4982) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4983)  e3 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4965), (4983) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4984)  all_58_28 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (154), (356), (374), (462), (4914), (4918),
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4945), (4970), (4984) are inconsistent by
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #529.
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4985)  all_54_7 = e3 | all_54_7 = e2
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (4945), (4970), (4985) are inconsistent by
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #709.
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4986)   ~ (all_56_5 = e3)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (431), (453), (462), (4909), (4914),
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4945), (4955), (4970), (4986) are inconsistent by
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #707.
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4987)  all_56_11 = e2
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4897), (4987) are inconsistent by sub-proof
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #505.
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4988)  all_58_20 = e3
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4875), (4988) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4989)  e3 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (4989) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4990)  $false
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4990) is inconsistent.
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4991)  all_58_16 = e3 | all_58_17 = e2
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (407), (4887), (4932), (4991) are
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #814.
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4992)   ~ (all_56_12 = e3)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (4992) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4993)   ~ (all_52_3 = e3)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (295) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4994)  all_56_0 = e3
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (4994) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4995)  all_6_2 = e3
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (4995) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4996)  all_58_16 = e3
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (4995) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4997)   ~ (all_52_2 = e3)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (4995) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4998)   ~ (all_52_12 = e3)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4918) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4999)  all_58_30 = e1
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4900), (4999) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5000)  e1 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (5000) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5001)  $false
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5001) is inconsistent.
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5002)  all_58_28 = e3 | all_58_29 = e2
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5002) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5003)  all_58_29 = e2
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (5003) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5004)  all_52_13 = e2
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5004) implies:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5005)  all_52_13 = e2
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (5005) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5006)   ~ (all_52_12 = e2)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (5005) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5007)   ~ (all_4_2 = e2)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5007) implies:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5008)   ~ (all_4_2 = e2)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (294) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5009)  all_56_0 = e2
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4994), (5009) are inconsistent by sub-proof
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #735.
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5010)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5011)  all_56_9 = e1
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (5011) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5012)  all_52_12 = e1
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5012) implies:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5013)  all_52_12 = e1
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (5013) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5014)  all_58_28 = e1
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (5013) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5015)   ~ (all_52_8 = e1)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4998), (5013) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5016)   ~ (e3 = e1)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5006), (5013) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5017)   ~ (e2 = e1)
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (622), (5013) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5018)  op(e3, e1) = all_58_3
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5010) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5019)  all_56_1 = e2
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4873), (5019) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5020)  e2 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5003), (5020) imply:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5021)  all_58_29 = e0
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (5002), (5014), (5021) are inconsistent
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5022)  all_56_4 = e2 | all_56_9 = e2
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5022) gives:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5023)  all_56_4 = e2
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (5023) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5024)  all_52_8 = e2
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5024) implies:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5025)  all_52_8 = e2
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (569), (5025) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5026)   ~ (all_10_2 = e2)
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5026) implies:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5027)   ~ (all_10_2 = e2)
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (213), (5025) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5028)  op(e3, e1) = e2
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4922) gives:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5029)  all_58_22 = e1
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (368), (5029) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5030)  all_52_6 = e1
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5030) implies:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5031)  all_52_6 = e1
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (5031) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5032)  all_56_7 = e1
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (5031) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5033)   ~ (all_52_2 = e1)
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (567), (5031) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5034)   ~ (all_10_2 = e1)
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5034) implies:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5035)   ~ (all_10_2 = e1)
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (275) gives:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5036)  all_56_6 = e2
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (5036) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5037)  all_52_2 = e2
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5037) implies:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5038)  all_52_2 = e2
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4997), (5038) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5039)   ~ (e3 = e2)
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (276), (371), (504), (534),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4699), (4704), (4887), (4897), (4927), (4996),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5002), (5003), (5014), (5018), (5028), (5032),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5033), (5035), (5036), (function-axioms) are
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #128.
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5040)  all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5040) gives:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5041)  all_56_7 = e2
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5032), (5041) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5042)  e2 = e1
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (37), (368), (386), (390), (531), (560),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (622), (770), (4718), (4875), (4884), (4922),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5008), (5022), (5023), (5042), (function-axioms)
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #453.
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5043)  all_56_8 = e2 | all_56_11 = e2
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5043) gives:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5044)  all_56_8 = e2
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (534), (5027), (5044) are inconsistent by
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #666.
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5045)  all_56_11 = e2
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4897), (5045) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5046)  e2 = e0
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5046) implies:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5047)  e2 = e0
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5003), (5047) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5048)  all_58_29 = e0
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (5002), (5014), (5048) are inconsistent
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5049)  all_58_20 = e3 | all_58_21 = e2
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (386), (4875), (5008), (5049) are
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #974.
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5050)  all_56_9 = e2
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5011), (5050) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5051)  e2 = e1
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (5051) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5052)  $false
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5052) is inconsistent.
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5053)   ~ (all_56_9 = e1)
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (390), (5053) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5054)   ~ (all_52_12 = e1)
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (460), (4911), (4998), (5006), (5054) are
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #890.
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5055)  all_58_28 = e3
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (538), (4998), (5055) are inconsistent by
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #870.
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5056)   ~ (all_56_0 = e3)
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (5056) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5057)   ~ (all_6_2 = e3)
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (188), (371), (407), (465), (532), (546),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (548), (4810), (4887), (4906), (4927), (4993),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5057) are inconsistent by sub-proof #806.
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | |   (5058)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (156), (157),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | |            (161), (164), (167), (170), (185), (187), (188),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | |            (189), (190), (193), (209), (242), (244), (248),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | |            (273), (276), (278), (280), (282), (289), (292),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | |            (294), (296), (331), (333), (334), (335), (351),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | |            (356), (368), (371), (374), (377), (386), (389),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | |            (390), (395), (407), (411), (413), (425), (429),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | |            (431), (439), (441), (448), (453), (530), (531),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | |            (532), (534), (535), (536), (537), (538), (539),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | |            (540), (542), (544), (546), (552), (554), (555),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | |            (560), (564), (567), (570), (574), (577), (622),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | |            (623), (770), (4699), (4701), (4715), (4718),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | |            (4811), (4861), (4865), (4868), (4869), (4873),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | |            (4875), (4880), (4882), (4884), (5058),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | |            #450.
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | |   (5059)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | BETA: splitting (5059) gives:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | |   (5060)  all_56_3 = e0
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (5060) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | |   (5061)  all_4_2 = e0
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | REDUCE: (4701), (5061) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | |   (5062)  $false
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | CLOSE: (5062) is inconsistent.
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | |   (5063)  all_56_7 = e0 | all_56_13 = e0
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | BETA: splitting (5063) gives:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | |   (5064)  all_56_7 = e0
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (5064) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | |   (5065)  all_52_6 = e0
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (368), (5065) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | |   (5066)  all_58_22 = e0
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (5065) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | |   (5067)   ~ (all_52_2 = e0)
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (5065) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | |   (5068)   ~ (all_52_7 = e0)
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (5065) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | |   (5069)   ~ (all_52_14 = e0)
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | SIMP: (5069) implies:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | |   (5070)   ~ (all_52_14 = e0)
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (5065) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | |   (5071)  op(e1, e0) = all_58_9
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | |              all_58_9, e0, e1, simplifying with (204), (5071)
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | |              gives:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | |   (5072)  all_58_9 = all_52_14
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | |   (5073)  all_56_0 = e0
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (154), (156),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | |            (157), (161), (164), (167), (177), (178), (179),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | |            (185), (188), (189), (190), (192), (193), (203),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | |            (208), (212), (237), (242), (246), (247), (270),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | |            (274), (275), (278), (279), (280), (282), (287),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | |            (291), (294), (295), (330), (331), (333), (334),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | |            (335), (341), (348), (351), (356), (371), (374),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | |            (377), (386), (389), (390), (395), (396), (407),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | |            (411), (413), (429), (431), (439), (441), (446),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | |            (451), (453), (463), (531), (533), (534), (535),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | |            (536), (537), (538), (539), (540), (541), (542),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | |            (548), (550), (552), (554), (555), (558), (562),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | |            (564), (566), (569), (574), (576), (577), (578),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | |            (619), (626), (4709), (4718), (4722), (4861),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | |            (4868), (4872), (5064), (5066), (5070), (5072),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | |            (5073), (function-axioms) are inconsistent by
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #130.
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | |   (5074)   ~ (all_56_0 = e0)
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (5074) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | |   (5075)   ~ (all_6_2 = e0)
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | |   (5076)  all_56_0 = e0
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (5076) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | |   (5077)  all_6_2 = e0
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5075), (5077) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | |   (5078)  $false
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5078) is inconsistent.
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | |   (5079)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5079) gives:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | |   (5080)  all_56_2 = e0
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (5080) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | |   (5081)  all_52_1 = e0
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (5081) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | |   (5082)  all_58_17 = e0
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (193), (5081) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | |   (5083)   ~ (all_52_2 = e0)
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (5081) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | |   (5084)   ~ (all_52_3 = e0)
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (189), (5081) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | |   (5085)   ~ (all_52_13 = e0)
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5085) implies:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | |   (5086)   ~ (all_52_13 = e0)
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (555), (5081) imply:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | |   (5087)   ~ (all_4_2 = e0)
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (9), (156), (157), (164), (177), (178),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | |            (179), (184), (185), (188), (213), (247), (248),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | |            (267), (268), (269), (270), (272), (276), (286),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | |            (288), (291), (293), (294), (295), (331), (333),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | |            (334), (335), (348), (351), (356), (371), (374),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | |            (386), (390), (396), (407), (413), (429), (439),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | |            (441), (446), (465), (466), (519), (532), (533),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | |            (541), (542), (546), (548), (550), (552), (554),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | |            (556), (557), (558), (562), (566), (568), (569),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | |            (576), (620), (4431), (4699), (4701), (4709),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | |            (4810), (4811), (4860), (4861), (4865), (4868),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | |            (5064), (5066), (5067), (5070), (5080), (5082),
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | |            (5086), (function-axioms) are inconsistent by
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #367.
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | |   (5088)  all_56_6 = e0 | all_56_12 = e0
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (413), (4811), (5067), (5088) are
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #918.
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | |   (5089)  all_56_13 = e0
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (348), (4861), (5089) are inconsistent by
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | |            sub-proof #942.
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | End of split
% 168.26/25.21  | | | | | | | | | 
% 168.26/25.21  | | | | | | | | Case 2:
% 168.26/25.21  | | | | | | | | | 
% 168.26/25.21  | | | | | | | | |   (5090)  all_24_2 = e0
% 168.26/25.21  | | | | | | | | |   (5091)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3)
% 168.26/25.21  | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | COMBINE_EQS: (510), (5090) imply:
% 168.26/25.21  | | | | | | | | |   (5092)  all_4_2 = e0
% 168.26/25.21  | | | | | | | | | 
% 168.26/25.21  | | | | | | | | | SIMP: (5092) implies:
% 168.26/25.21  | | | | | | | | |   (5093)  all_4_2 = e0
% 168.26/25.21  | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (38), (42),
% 168.26/25.22  | | | | | | | | |            (43), (61), (62), (126), (131), (154), (156),
% 168.26/25.22  | | | | | | | | |            (157), (161), (162), (164), (165), (167), (169),
% 168.26/25.22  | | | | | | | | |            (170), (172), (177), (178), (179), (180), (183),
% 168.26/25.22  | | | | | | | | |            (184), (185), (187), (188), (189), (190), (192),
% 168.26/25.22  | | | | | | | | |            (193), (202), (203), (204), (207), (208), (209),
% 168.26/25.22  | | | | | | | | |            (212), (234), (235), (236), (237), (238), (239),
% 168.26/25.22  | | | | | | | | |            (240), (241), (242), (244), (245), (246), (247),
% 168.26/25.22  | | | | | | | | |            (248), (266), (267), (269), (270), (271), (272),
% 168.26/25.22  | | | | | | | | |            (273), (275), (276), (277), (278), (279), (280),
% 168.26/25.22  | | | | | | | | |            (283), (284), (286), (287), (289), (290), (291),
% 168.26/25.22  | | | | | | | | |            (292), (293), (294), (295), (330), (331), (332),
% 168.26/25.22  | | | | | | | | |            (333), (334), (335), (347), (348), (351), (356),
% 168.26/25.22  | | | | | | | | |            (368), (371), (374), (377), (386), (389), (390),
% 168.26/25.22  | | | | | | | | |            (395), (396), (407), (411), (413), (425), (429),
% 168.26/25.22  | | | | | | | | |            (431), (435), (439), (441), (446), (448), (451),
% 168.26/25.22  | | | | | | | | |            (453), (455), (456), (460), (462), (463), (465),
% 168.26/25.22  | | | | | | | | |            (466), (468), (494), (496), (530), (532), (533),
% 168.26/25.22  | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 168.26/25.22  | | | | | | | | |            (541), (542), (544), (546), (548), (550), (552),
% 168.26/25.22  | | | | | | | | |            (554), (555), (556), (557), (558), (560), (562),
% 168.26/25.22  | | | | | | | | |            (564), (567), (569), (570), (572), (574), (575),
% 168.26/25.22  | | | | | | | | |            (576), (577), (578), (619), (621), (622), (624),
% 168.26/25.22  | | | | | | | | |            (627), (630), (631), (633), (634), (674), (688),
% 168.26/25.22  | | | | | | | | |            (740), (755), (3004), (4428), (5091), (5093),
% 168.26/25.22  | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.26/25.22  | | | | | | | | |            #388.
% 168.26/25.22  | | | | | | | | | 
% 168.26/25.22  | | | | | | | | End of split
% 168.26/25.22  | | | | | | | | 
% 168.26/25.22  | | | | | | | End of split
% 168.26/25.22  | | | | | | | 
% 168.26/25.22  | | | | | | End of split
% 168.26/25.22  | | | | | | 
% 168.26/25.22  | | | | | End of split
% 168.26/25.22  | | | | | 
% 168.26/25.22  | | | | Case 2:
% 168.26/25.22  | | | | | 
% 168.26/25.22  | | | | |   (5094)  all_10_2 = e0
% 168.26/25.22  | | | | | 
% 168.26/25.22  | | | | | COMBINE_EQS: (534), (5094) imply:
% 168.26/25.22  | | | | |   (5095)  all_56_8 = e0
% 168.26/25.22  | | | | | 
% 168.26/25.22  | | | | | COMBINE_EQS: (539), (5094) imply:
% 168.26/25.22  | | | | |   (5096)  all_58_26 = e0
% 168.26/25.22  | | | | | 
% 168.26/25.22  | | | | | REDUCE: (556), (5094) imply:
% 168.26/25.22  | | | | |   (5097)   ~ (all_52_2 = e0)
% 168.26/25.22  | | | | | 
% 168.26/25.22  | | | | | REDUCE: (567), (5094) imply:
% 168.26/25.22  | | | | |   (5098)   ~ (all_52_6 = e0)
% 168.26/25.22  | | | | | 
% 168.26/25.22  | | | | | REDUCE: (569), (5094) imply:
% 168.26/25.22  | | | | |   (5099)   ~ (all_52_8 = e0)
% 168.26/25.22  | | | | | 
% 168.26/25.22  | | | | | REDUCE: (570), (5094) imply:
% 168.26/25.22  | | | | |   (5100)   ~ (all_52_9 = e0)
% 168.26/25.22  | | | | | 
% 168.26/25.22  | | | | | REDUCE: (572), (5094) imply:
% 168.26/25.22  | | | | |   (5101)   ~ (all_52_11 = e0)
% 168.26/25.22  | | | | | 
% 168.26/25.22  | | | | | REDUCE: (574), (5094) imply:
% 168.26/25.22  | | | | |   (5102)   ~ (all_52_14 = e0)
% 168.26/25.22  | | | | | 
% 168.26/25.22  | | | | | REDUCE: (53), (5094) imply:
% 168.26/25.22  | | | | |   (5103)  op(all_10_1, e0) = all_10_0
% 168.26/25.22  | | | | | 
% 168.26/25.22  | | | | | REDUCE: (52), (5094) imply:
% 168.26/25.22  | | | | |   (5104)  op(e0, e1) = all_10_1
% 168.26/25.22  | | | | | 
% 168.26/25.22  | | | | | REDUCE: (629), (5094) imply:
% 168.26/25.22  | | | | |   (5105)  op(e1, e0) = all_58_10
% 168.26/25.22  | | | | | 
% 168.26/25.22  | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (38), (42), (43), (59),
% 168.26/25.22  | | | | |            (61), (62), (63), (64), (89), (94), (126), (131), (145),
% 168.26/25.22  | | | | |            (154), (156), (157), (161), (162), (164), (165), (167),
% 168.26/25.22  | | | | |            (169), (170), (172), (177), (178), (179), (180), (183),
% 168.26/25.22  | | | | |            (184), (185), (187), (188), (189), (190), (192), (193),
% 168.26/25.22  | | | | |            (201), (202), (203), (204), (206), (207), (208), (209),
% 168.26/25.22  | | | | |            (211), (212), (214), (233), (234), (235), (236), (237),
% 168.26/25.22  | | | | |            (239), (240), (241), (242), (243), (244), (245), (246),
% 168.26/25.22  | | | | |            (247), (248), (266), (267), (268), (269), (270), (271),
% 168.26/25.22  | | | | |            (272), (274), (275), (276), (278), (279), (280), (281),
% 168.26/25.22  | | | | |            (282), (283), (284), (285), (286), (287), (288), (289),
% 168.26/25.22  | | | | |            (290), (291), (292), (293), (294), (295), (330), (331),
% 168.26/25.22  | | | | |            (332), (333), (334), (335), (341), (347), (348), (351),
% 168.26/25.22  | | | | |            (356), (368), (371), (374), (377), (386), (389), (390),
% 168.26/25.22  | | | | |            (395), (396), (407), (411), (413), (425), (429), (431),
% 168.26/25.22  | | | | |            (435), (439), (441), (446), (448), (451), (453), (455),
% 168.26/25.22  | | | | |            (456), (460), (462), (463), (465), (466), (468), (478),
% 168.26/25.22  | | | | |            (494), (496), (510), (522), (531), (532), (533), (535),
% 168.26/25.22  | | | | |            (536), (537), (538), (540), (541), (542), (544), (546),
% 168.26/25.22  | | | | |            (548), (550), (552), (554), (555), (557), (558), (560),
% 168.26/25.22  | | | | |            (562), (564), (566), (568), (575), (576), (577), (578),
% 168.26/25.22  | | | | |            (619), (620), (622), (623), (626), (627), (631), (632),
% 168.26/25.22  | | | | |            (633), (634), (640), (674), (685), (688), (740), (745),
% 168.26/25.22  | | | | |            (755), (770), (5095), (5096), (5097), (5098), (5099),
% 168.26/25.22  | | | | |            (5100), (5101), (5102), (5103), (5104), (5105),
% 168.26/25.22  | | | | |            (function-axioms) are inconsistent by sub-proof #237.
% 168.26/25.22  | | | | | 
% 168.26/25.22  | | | | End of split
% 168.26/25.22  | | | | 
% 168.26/25.22  | | | End of split
% 168.26/25.22  | | | 
% 168.26/25.22  | | End of split
% 168.26/25.22  | | 
% 168.26/25.22  | Case 2:
% 168.26/25.22  | | 
% 168.26/25.22  | |   (5106)  all_4_1 = e0
% 168.26/25.22  | |   (5107)   ~ (all_4_0 = e3) |  ~ (all_4_2 = e1)
% 168.26/25.22  | | 
% 168.26/25.22  | | COMBINE_EQS: (638), (5106) imply:
% 168.26/25.22  | |   (5108)  all_44_1 = e0
% 168.26/25.22  | | 
% 168.26/25.22  | | REDUCE: (38), (5106) imply:
% 168.26/25.22  | |   (5109)  op(e0, all_4_2) = all_4_0
% 168.26/25.22  | | 
% 168.26/25.22  | | REDUCE: (37), (5106) imply:
% 168.26/25.22  | |   (5110)  op(all_4_2, e2) = e0
% 168.26/25.22  | | 
% 168.26/25.22  | | BETA: splitting (44) gives:
% 168.26/25.22  | | 
% 168.26/25.22  | | Case 1:
% 168.26/25.22  | | | 
% 168.26/25.22  | | |   (5111)   ~ (all_6_0 = e0)
% 168.26/25.22  | | | 
% 168.26/25.22  | | | BETA: splitting (54) gives:
% 168.26/25.22  | | | 
% 168.26/25.22  | | | Case 1:
% 168.26/25.22  | | | | 
% 168.26/25.22  | | | |   (5112)   ~ (all_10_2 = e0)
% 168.26/25.22  | | | | 
% 168.26/25.22  | | | | BETA: splitting (59) gives:
% 168.26/25.22  | | | | 
% 168.26/25.22  | | | | Case 1:
% 168.26/25.22  | | | | | 
% 168.26/25.22  | | | | |   (5113)   ~ (all_12_1 = e0)
% 168.26/25.22  | | | | | 
% 168.26/25.22  | | | | | REDUCE: (640), (5113) imply:
% 168.26/25.22  | | | | |   (5114)   ~ (all_6_1 = e0)
% 168.26/25.22  | | | | | 
% 168.26/25.22  | | | | | BETA: splitting (64) gives:
% 168.26/25.22  | | | | | 
% 168.26/25.22  | | | | | Case 1:
% 168.26/25.22  | | | | | | 
% 168.26/25.22  | | | | | |   (5115)   ~ (all_14_0 = e1)
% 168.26/25.22  | | | | | | 
% 168.26/25.22  | | | | | | BETA: splitting (74) gives:
% 168.26/25.22  | | | | | | 
% 168.26/25.22  | | | | | | Case 1:
% 168.26/25.22  | | | | | | | 
% 168.26/25.22  | | | | | | |   (5116)   ~ (all_18_1 = e1)
% 168.26/25.22  | | | | | | | 
% 168.26/25.22  | | | | | | | REDUCE: (650), (5116) imply:
% 168.26/25.22  | | | | | | |   (5117)   ~ (all_14_1 = e1)
% 168.26/25.22  | | | | | | | 
% 168.26/25.22  | | | | | | | BETA: splitting (79) gives:
% 168.26/25.22  | | | | | | | 
% 168.26/25.22  | | | | | | | Case 1:
% 168.26/25.22  | | | | | | | | 
% 168.26/25.22  | | | | | | | |   (5118)   ~ (all_20_1 = e0)
% 168.26/25.22  | | | | | | | | 
% 168.26/25.22  | | | | | | | | REDUCE: (682), (5118) imply:
% 168.26/25.22  | | | | | | | |   (5119)   ~ (all_10_1 = e0)
% 168.26/25.22  | | | | | | | | 
% 168.26/25.22  | | | | | | | | BETA: splitting (136) gives:
% 168.26/25.22  | | | | | | | | 
% 168.26/25.22  | | | | | | | | Case 1:
% 168.26/25.22  | | | | | | | | | 
% 168.26/25.22  | | | | | | | | |   (5120)   ~ (all_44_1 = e0)
% 168.26/25.22  | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | REDUCE: (5108), (5120) imply:
% 168.26/25.22  | | | | | | | | |   (5121)  $false
% 168.26/25.22  | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | CLOSE: (5121) is inconsistent.
% 168.26/25.22  | | | | | | | | | 
% 168.26/25.22  | | | | | | | | Case 2:
% 168.26/25.22  | | | | | | | | | 
% 168.26/25.22  | | | | | | | | |   (5122)   ~ (all_44_0 = e1) |  ~ (all_44_2 = e3)
% 168.26/25.22  | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | BETA: splitting (131) gives:
% 168.26/25.22  | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | Case 1:
% 168.26/25.22  | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | |   (5123)   ~ (all_42_2 = e0)
% 168.26/25.22  | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | REDUCE: (494), (5123) imply:
% 168.26/25.22  | | | | | | | | | |   (5124)   ~ (all_6_2 = e0)
% 168.26/25.22  | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | BETA: splitting (145) gives:
% 168.26/25.22  | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | Case 1:
% 168.26/25.22  | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | |   (5125)   ~ (all_48_2 = e1)
% 168.26/25.22  | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | REDUCE: (478), (5125) imply:
% 168.26/25.22  | | | | | | | | | | |   (5126)   ~ (all_14_2 = e1)
% 168.26/25.22  | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | BETA: splitting (266) gives:
% 168.26/25.22  | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | Case 1:
% 168.26/25.22  | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | |   (5127)  all_56_15 = e0
% 168.26/25.22  | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | COMBINE_EQS: (533), (5127) imply:
% 168.26/25.22  | | | | | | | | | | | |   (5128)  all_14_2 = e0
% 168.26/25.22  | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | SIMP: (5128) implies:
% 168.26/25.22  | | | | | | | | | | | |   (5129)  all_14_2 = e0
% 168.26/25.22  | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | REDUCE: (557), (5129) imply:
% 168.26/25.22  | | | | | | | | | | | |   (5130)   ~ (all_52_3 = e0)
% 168.26/25.22  | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | REDUCE: (575), (5129) imply:
% 168.26/25.22  | | | | | | | | | | | |   (5131)   ~ (all_52_11 = e0)
% 168.26/25.22  | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | REDUCE: (576), (5129) imply:
% 168.26/25.22  | | | | | | | | | | | |   (5132)   ~ (all_52_12 = e0)
% 168.26/25.22  | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | REDUCE: (577), (5129) imply:
% 168.26/25.22  | | | | | | | | | | | |   (5133)   ~ (all_52_13 = e0)
% 168.26/25.22  | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | REDUCE: (578), (5129) imply:
% 168.26/25.22  | | | | | | | | | | | |   (5134)   ~ (all_52_14 = e0)
% 168.26/25.22  | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | REDUCE: (63), (5129) imply:
% 168.26/25.22  | | | | | | | | | | | |   (5135)  op(all_14_1, e0) = all_14_0
% 168.26/25.22  | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | REDUCE: (62), (5129) imply:
% 168.26/25.22  | | | | | | | | | | | |   (5136)  op(e0, e0) = all_14_1
% 168.26/25.22  | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | REDUCE: (634), (5129) imply:
% 168.26/25.22  | | | | | | | | | | | |   (5137)  op(e0, e0) = all_58_15
% 168.26/25.22  | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | REDUCE: (61), (5129) imply:
% 168.26/25.22  | | | | | | | | | | | |   (5138)  op(e0, e0) = e0
% 168.26/25.22  | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1,
% 168.26/25.22  | | | | | | | | | | | |              all_58_15, e0, e0, simplifying with (5136), (5137)
% 168.26/25.22  | | | | | | | | | | | |              gives:
% 168.26/25.22  | | | | | | | | | | | |   (5139)  all_58_15 = all_14_1
% 168.26/25.22  | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 168.26/25.22  | | | | | | | | | | | |              all_58_15, e0, e0, simplifying with (5137), (5138)
% 168.26/25.22  | | | | | | | | | | | |              gives:
% 168.26/25.22  | | | | | | | | | | | |   (5140)  all_58_15 = e0
% 168.26/25.22  | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | COMBINE_EQS: (5139), (5140) imply:
% 168.26/25.22  | | | | | | | | | | | |   (5141)  all_14_1 = e0
% 168.26/25.22  | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | SIMP: (5141) implies:
% 168.26/25.22  | | | | | | | | | | | |   (5142)  all_14_1 = e0
% 168.26/25.22  | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | REDUCE: (5135), (5142) imply:
% 168.26/25.22  | | | | | | | | | | | |   (5143)  op(e0, e0) = all_14_0
% 168.26/25.22  | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_14_0,
% 168.26/25.22  | | | | | | | | | | | |              e0, e0, simplifying with (5138), (5143) gives:
% 168.26/25.22  | | | | | | | | | | | |   (5144)  all_14_0 = e0
% 168.26/25.22  | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | REDUCE: (5115), (5144) imply:
% 168.26/25.22  | | | | | | | | | | | |   (5145)   ~ (e1 = e0)
% 168.26/25.22  | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (36), (41), (51), (52),
% 168.26/25.22  | | | | | | | | | | | |            (154), (156), (157), (162), (164), (165), (167),
% 168.26/25.22  | | | | | | | | | | | |            (170), (172), (177), (178), (179), (183), (185),
% 168.26/25.22  | | | | | | | | | | | |            (187), (188), (190), (192), (193), (202), (204),
% 168.26/25.22  | | | | | | | | | | | |            (208), (212), (234), (236), (237), (245), (246),
% 168.26/25.22  | | | | | | | | | | | |            (248), (269), (270), (271), (273), (277), (280),
% 168.26/25.22  | | | | | | | | | | | |            (281), (284), (289), (290), (293), (294), (295),
% 168.26/25.22  | | | | | | | | | | | |            (296), (330), (332), (333), (335), (347), (351),
% 168.26/25.22  | | | | | | | | | | | |            (368), (371), (377), (386), (389), (390), (395),
% 168.26/25.22  | | | | | | | | | | | |            (396), (407), (411), (413), (425), (429), (431),
% 168.26/25.22  | | | | | | | | | | | |            (435), (439), (441), (451), (460), (463), (465),
% 168.26/25.22  | | | | | | | | | | | |            (468), (532), (533), (534), (535), (536), (539),
% 168.26/25.22  | | | | | | | | | | | |            (540), (541), (542), (544), (546), (548), (550),
% 168.26/25.22  | | | | | | | | | | | |            (552), (554), (555), (556), (558), (560), (562),
% 168.26/25.22  | | | | | | | | | | | |            (564), (567), (569), (574), (619), (620), (621),
% 168.26/25.22  | | | | | | | | | | | |            (623), (624), (625), (627), (628), (629), (5110),
% 168.26/25.22  | | | | | | | | | | | |            (5112), (5124), (5126), (5130), (5131), (5132),
% 168.26/25.22  | | | | | | | | | | | |            (5133), (5134), (5140), (function-axioms) are
% 168.26/25.22  | | | | | | | | | | | |            inconsistent by sub-proof #118.
% 168.26/25.22  | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | Case 2:
% 168.26/25.22  | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | |   (5146)   ~ (all_56_15 = e0)
% 168.26/25.22  | | | | | | | | | | | |   (5147)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 168.26/25.22  | | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 168.26/25.22  | | | | | | | | | | | |             e0)
% 168.26/25.22  | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | ALPHA: (5147) implies:
% 168.26/25.22  | | | | | | | | | | | |   (5148)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 168.26/25.22  | | | | | | | | | | | |   (5149)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 168.26/25.22  | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | REDUCE: (533), (5146) imply:
% 168.26/25.22  | | | | | | | | | | | |   (5150)   ~ (all_14_2 = e0)
% 168.26/25.22  | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | BETA: splitting (233) gives:
% 168.26/25.22  | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | Case 1:
% 168.26/25.22  | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | |   (5151)  all_54_15 = e0
% 168.26/25.22  | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | REF_CLOSE: (341), (5150), (5151) are inconsistent by
% 168.26/25.22  | | | | | | | | | | | | |            sub-proof #910.
% 168.26/25.22  | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | Case 2:
% 168.26/25.22  | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | |   (5152)   ~ (all_54_15 = e0)
% 168.26/25.22  | | | | | | | | | | | | |   (5153)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 168.26/25.22  | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | BETA: splitting (238) gives:
% 168.26/25.22  | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | Case 1:
% 168.26/25.22  | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | |   (5154)  all_54_10 = e0
% 168.26/25.22  | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | REF_CLOSE: (530), (5112), (5154) are inconsistent by
% 168.26/25.22  | | | | | | | | | | | | | |            sub-proof #909.
% 168.26/25.22  | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | Case 2:
% 168.26/25.22  | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | |   (5155)   ~ (all_54_10 = e0)
% 168.26/25.22  | | | | | | | | | | | | | |   (5156)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 168.26/25.22  | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 168.26/25.22  | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | Case 1:
% 168.26/25.22  | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | |   (5157)  all_54_0 = e0
% 168.26/25.22  | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | REF_CLOSE: (532), (5124), (5157) are inconsistent by
% 168.26/25.22  | | | | | | | | | | | | | | |            sub-proof #984.
% 168.26/25.22  | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | Case 2:
% 168.26/25.22  | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | |   (5158)   ~ (all_54_0 = e0)
% 168.26/25.22  | | | | | | | | | | | | | | |   (5159)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 168.26/25.22  | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 168.26/25.22  | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | Case 1:
% 168.26/25.22  | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | |   (5160)  all_56_0 = e0
% 168.26/25.22  | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (5160) imply:
% 168.26/25.22  | | | | | | | | | | | | | | | |   (5161)  all_6_2 = e0
% 168.26/25.22  | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | REDUCE: (5124), (5161) imply:
% 168.26/25.22  | | | | | | | | | | | | | | | |   (5162)  $false
% 168.26/25.22  | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | CLOSE: (5162) is inconsistent.
% 168.26/25.22  | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | Case 2:
% 168.26/25.22  | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | |   (5163)   ~ (all_56_0 = e0)
% 168.26/25.22  | | | | | | | | | | | | | | | |   (5164)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 168.26/25.22  | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 168.26/25.22  | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.22  | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | |   (5165)  all_56_0 = e0
% 168.26/25.22  | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (5165) imply:
% 168.26/25.22  | | | | | | | | | | | | | | | | |   (5166)  all_6_2 = e0
% 168.26/25.22  | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | | REDUCE: (5124), (5166) imply:
% 168.26/25.22  | | | | | | | | | | | | | | | | |   (5167)  $false
% 168.26/25.22  | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | | CLOSE: (5167) is inconsistent.
% 168.26/25.22  | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.22  | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | |   (5168)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 168.26/25.22  | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 168.26/25.22  | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.22  | | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | | |   (5169)  all_54_6 = e0
% 168.26/25.22  | | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (5169) imply:
% 168.26/25.22  | | | | | | | | | | | | | | | | | |   (5170)  all_52_9 = e0
% 168.26/25.22  | | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | | | SIMP: (5170) implies:
% 168.26/25.22  | | | | | | | | | | | | | | | | | |   (5171)  all_52_9 = e0
% 168.26/25.22  | | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (5171) imply:
% 168.26/25.22  | | | | | | | | | | | | | | | | | |   (5172)  all_56_5 = e0
% 168.26/25.22  | | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (377), (5171) imply:
% 168.26/25.22  | | | | | | | | | | | | | | | | | |   (5173)  all_58_25 = e0
% 168.26/25.22  | | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | | | REDUCE: (190), (5171) imply:
% 168.26/25.22  | | | | | | | | | | | | | | | | | |   (5174)   ~ (all_52_1 = e0)
% 168.26/25.22  | | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | | | REDUCE: (167), (5171) imply:
% 168.26/25.22  | | | | | | | | | | | | | | | | | |   (5175)   ~ (all_52_8 = e0)
% 168.26/25.22  | | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | | | REDUCE: (162), (5171) imply:
% 168.26/25.22  | | | | | | | | | | | | | | | | | |   (5176)   ~ (all_52_11 = e0)
% 168.26/25.22  | | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | | | SIMP: (5176) implies:
% 168.26/25.22  | | | | | | | | | | | | | | | | | |   (5177)   ~ (all_52_11 = e0)
% 168.26/25.22  | | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | | | REDUCE: (161), (5171) imply:
% 168.26/25.22  | | | | | | | | | | | | | | | | | |   (5178)   ~ (all_52_13 = e0)
% 168.26/25.22  | | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | | | SIMP: (5178) implies:
% 168.26/25.22  | | | | | | | | | | | | | | | | | |   (5179)   ~ (all_52_13 = e0)
% 168.26/25.22  | | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | | | REDUCE: (564), (5171) imply:
% 168.26/25.22  | | | | | | | | | | | | | | | | | |   (5180)   ~ (all_4_2 = e0)
% 168.26/25.22  | | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | | | SIMP: (5180) implies:
% 168.26/25.22  | | | | | | | | | | | | | | | | | |   (5181)   ~ (all_4_2 = e0)
% 168.26/25.22  | | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | | | REDUCE: (209), (5171) imply:
% 168.26/25.22  | | | | | | | | | | | | | | | | | |   (5182)  op(e2, e1) = e0
% 168.26/25.22  | | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 168.26/25.22  | | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.22  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | | | |   (5183)  all_54_12 = e0
% 168.26/25.22  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (465), (5183) imply:
% 168.26/25.22  | | | | | | | | | | | | | | | | | | |   (5184)  all_52_3 = e0
% 168.26/25.22  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (5184) imply:
% 168.26/25.22  | | | | | | | | | | | | | | | | | | |   (5185)  all_56_12 = e0
% 168.26/25.22  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (5184) imply:
% 168.26/25.22  | | | | | | | | | | | | | | | | | | |   (5186)  all_58_19 = e0
% 168.26/25.22  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | | | | REDUCE: (188), (5184) imply:
% 168.26/25.22  | | | | | | | | | | | | | | | | | | |   (5187)   ~ (all_52_2 = e0)
% 168.26/25.22  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | | | | REDUCE: (184), (5184) imply:
% 168.26/25.22  | | | | | | | | | | | | | | | | | | |   (5188)   ~ (all_52_7 = e0)
% 168.26/25.22  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | | | | SIMP: (5188) implies:
% 168.26/25.22  | | | | | | | | | | | | | | | | | | |   (5189)   ~ (all_52_7 = e0)
% 168.26/25.22  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.22  | | | | | | | | | | | | | | | | | | | REDUCE: (548), (5184) imply:
% 168.26/25.22  | | | | | | | | | | | | | | | | | | |   (5190)   ~ (all_6_2 = e0)
% 168.26/25.22  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (43), (154),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |            (156), (157), (164), (165), (169), (170), (172),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |            (177), (178), (179), (180), (187), (189), (193),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |            (206), (207), (211), (234), (235), (240), (245),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |            (246), (247), (267), (270), (272), (275), (278),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |            (282), (284), (285), (288), (290), (291), (292),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |            (293), (294), (295), (331), (332), (333), (334),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |            (341), (347), (348), (356), (368), (374), (386),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |            (389), (390), (395), (396), (407), (411), (413),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |            (425), (429), (435), (439), (441), (446), (451),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |            (455), (460), (466), (468), (532), (533), (534),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (540), (541),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |            (544), (546), (550), (552), (554), (555), (556),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |            (558), (560), (562), (566), (567), (568), (569),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |            (572), (574), (575), (576), (577), (578), (5111),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |            (5124), (5149), (5153), (5159), (5172), (5173),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |            (5174), (5175), (5177), (5179), (5181), (5182),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |            (5185), (5186), (5187), (5189), (function-axioms)
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #383.
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |   (5191)   ~ (all_54_12 = e0)
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | REDUCE: (465), (5191) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |   (5192)   ~ (all_52_3 = e0)
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | BETA: splitting (5148) gives:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | |   (5193)  all_56_12 = e0
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (5192), (5193) are inconsistent by
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | |            sub-proof #919.
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | |   (5194)   ~ (all_56_12 = e0)
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | |   (5195)  all_56_13 = e0 | all_56_14 = e0
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | BETA: splitting (5164) gives:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |   (5196)  all_56_2 = e0
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (5196) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |   (5197)  all_52_1 = e0
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | REDUCE: (5174), (5197) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |   (5198)  $false
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | CLOSE: (5198) is inconsistent.
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |   (5199)  all_56_6 = e0 | all_56_12 = e0
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5199) gives:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | |   (5200)  all_56_6 = e0
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (5200) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | |   (5201)  all_52_2 = e0
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (5201) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | |   (5202)  all_58_18 = e0
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (185), (5201) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | |   (5203)   ~ (all_52_14 = e0)
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | SIMP: (5203) implies:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | |   (5204)   ~ (all_52_14 = e0)
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (556), (5201) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | |   (5205)   ~ (all_10_2 = e0)
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (5201) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | |   (5206)   ~ (all_6_2 = e0)
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (207), (5201) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | |   (5207)  op(e1, e3) = e0
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5195) gives:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | |   (5208)  all_56_13 = e0
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (5208) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | |   (5209)  all_52_7 = e0
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (5209) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | |   (5210)   ~ (all_52_4 = e0)
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (5209) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | |   (5211)   ~ (all_52_6 = e0)
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (42), (52), (161), (162),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (164), (165), (167), (170), (178), (180), (189),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (190), (192), (213), (239), (244), (247), (267),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (270), (275), (277), (290), (293), (295), (331),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (332), (335), (347), (351), (356), (374), (377),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (389), (390), (395), (396), (407), (425), (429),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (431), (435), (439), (441), (446), (448), (456),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (530), (532), (533), (534), (536), (537), (538),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (539), (542), (544), (548), (550), (552), (554),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (557), (567), (569), (570), (572), (574), (576),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (577), (620), (628), (5112), (5114), (5119),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (5124), (5126), (5149), (5156), (5159), (5177),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (5192), (5200), (5202), (5204), (5207), (5208),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (5210), (5211), (function-axioms) are inconsistent
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #841.
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | |   (5212)  all_56_14 = e0
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (5177), (5212) are inconsistent by
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #915.
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | |   (5213)  all_56_12 = e0
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (5192), (5213) are inconsistent by
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #919.
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | End of split
% 168.26/25.23  | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | |   (5214)   ~ (all_54_6 = e0)
% 168.26/25.23  | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | REDUCE: (453), (5214) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | |   (5215)   ~ (all_52_9 = e0)
% 168.26/25.23  | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |   (5216)  all_56_4 = e0
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (5216) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |   (5217)  all_52_8 = e0
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (5217) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |   (5218)  all_58_24 = e0
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | REDUCE: (178), (5217) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |   (5219)   ~ (all_52_4 = e0)
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | REDUCE: (165), (5217) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |   (5220)   ~ (all_52_11 = e0)
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | SIMP: (5220) implies:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |   (5221)   ~ (all_52_11 = e0)
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | REDUCE: (164), (5217) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |   (5222)   ~ (all_52_12 = e0)
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | SIMP: (5222) implies:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |   (5223)   ~ (all_52_12 = e0)
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | REDUCE: (552), (5217) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |   (5224)   ~ (all_6_2 = e0)
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | REDUCE: (621), (5217) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |   (5225)  op(e3, e0) = all_58_2
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | REDUCE: (213), (5217) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |   (5226)  op(e3, e1) = e0
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |              all_58_2, e0, e3, simplifying with (212), (5225)
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |              gives:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | |   (5227)  all_58_2 = all_52_12
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | |   (5228)  all_54_7 = e0
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (5228) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | |   (5229)  all_52_13 = e0
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | REDUCE: (189), (5229) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | |   (5230)   ~ (all_52_1 = e0)
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |   (5231)  all_56_6 = e0
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (5231) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |   (5232)  all_52_2 = e0
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | SIMP: (5232) implies:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |   (5233)  all_52_2 = e0
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (5233) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |   (5234)  all_58_18 = e0
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | REDUCE: (188), (5233) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |   (5235)   ~ (all_52_3 = e0)
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | SIMP: (5235) implies:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |   (5236)   ~ (all_52_3 = e0)
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (5233) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |   (5237)   ~ (all_52_6 = e0)
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | SIMP: (5237) implies:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |   (5238)   ~ (all_52_6 = e0)
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | REDUCE: (185), (5233) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |   (5239)   ~ (all_52_14 = e0)
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | SIMP: (5239) implies:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |   (5240)   ~ (all_52_14 = e0)
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | REDUCE: (556), (5233) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |   (5241)   ~ (all_10_2 = e0)
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (51), (52), (154), (157),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |            (161), (170), (177), (180), (189), (190), (192),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |            (203), (208), (214), (236), (239), (247), (248),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |            (268), (269), (275), (287), (291), (293), (295),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |            (330), (331), (332), (335), (347), (351), (356),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |            (374), (377), (389), (390), (396), (407), (411),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |            (425), (439), (441), (446), (456), (465), (530),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |            (532), (536), (537), (538), (539), (542), (544),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |            (548), (550), (554), (567), (570), (574), (577),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |            (620), (626), (629), (631), (5112), (5119),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |            (5124), (5149), (5156), (5218), (5219), (5221),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |            (5223), (5226), (5231), (5234), (5236), (5238),
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |            (5240), (function-axioms) are inconsistent by
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |            sub-proof #154.
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |   (5242)   ~ (all_56_6 = e0)
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |   (5243)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | REDUCE: (413), (5242) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | |   (5244)   ~ (all_52_2 = e0)
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5164) gives:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | |   (5245)  all_56_2 = e0
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (5245) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | |   (5246)  all_52_1 = e0
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5230), (5246) imply:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | |   (5247)  $false
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5247) is inconsistent.
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.26/25.23  | | | | | | | | | | | | | | | | | | | | | |   (5248)   ~ (all_56_2 = e0)
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | |   (5249)  all_56_6 = e0 | all_56_12 = e0
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5249) gives:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | |   (5250)  all_56_6 = e0
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (413), (5244), (5250) are inconsistent by
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #520.
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | |   (5251)  all_56_12 = e0
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (5251) imply:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | |   (5252)  all_52_3 = e0
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5252) implies:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | |   (5253)  all_52_3 = e0
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (5253) imply:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | |   (5254)  all_58_19 = e0
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (43), (154),
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (157), (169), (170), (172), (177), (179), (180),
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (184), (185), (189), (190), (193), (202), (206),
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (207), (209), (211), (234), (235), (239), (240),
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (243), (244), (247), (268), (276), (278), (282),
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (285), (286), (288), (289), (291), (293), (294),
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (295), (331), (332), (333), (334), (347), (348),
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (351), (356), (368), (371), (374), (377), (386),
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (390), (395), (396), (407), (411), (413), (425),
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (429), (431), (435), (439), (441), (446), (448),
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (455), (456), (466), (468), (531), (532), (534),
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (540), (541),
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (544), (546), (550), (554), (555), (556), (558),
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (560), (562), (564), (566), (567), (570), (572),
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (574), (577), (5110), (5111), (5114), (5124),
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (5149), (5159), (5216), (5218), (5219), (5221),
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (5223), (5230), (5243), (5244), (5251), (5254),
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | |            #115.
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | End of split
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | End of split
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | Case 2:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | |   (5255)   ~ (all_54_7 = e0)
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | REDUCE: (462), (5255) imply:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | |   (5256)   ~ (all_52_13 = e0)
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | BETA: splitting (5149) gives:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | |   (5257)  all_56_9 = e0
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (390), (5223), (5257) are inconsistent by
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | |            sub-proof #908.
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | |   (5258)   ~ (all_56_9 = e0)
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | |   (5259)  all_56_10 = e0 | all_56_11 = e0
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5259) gives:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | |   (5260)  all_56_10 = e0
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (439), (5256), (5260) are inconsistent by
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #943.
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | |   (5261)  all_56_11 = e0
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (5261) imply:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | |   (5262)  all_52_14 = e0
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | SIMP: (5262) implies:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | |   (5263)  all_52_14 = e0
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (356), (5263) imply:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | |   (5264)  all_58_30 = e0
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (62), (208), (212),
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | |            (270), (272), (331), (341), (374), (390), (439),
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | |            (533), (537), (538), (576), (577), (5117), (5126),
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | |            (5150), (5153), (5223), (5256), (5261), (5264),
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | |            #113.
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | End of split
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | End of split
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | End of split
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | Case 2:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | |   (5265)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | BETA: splitting (5265) gives:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | Case 1:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | |   (5266)  all_56_5 = e0
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (5266) imply:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | |   (5267)  all_52_9 = e0
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | REDUCE: (5215), (5267) imply:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | |   (5268)  $false
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | CLOSE: (5268) is inconsistent.
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | Case 2:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | |   (5269)  all_56_8 = e0 | all_56_14 = e0
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | BETA: splitting (5269) gives:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | |   (5270)  all_56_8 = e0
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (534), (5112), (5270) are inconsistent by
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | |            sub-proof #916.
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | |   (5271)  all_56_14 = e0
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (5271) imply:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | |   (5272)  all_52_11 = e0
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | SIMP: (5272) implies:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | |   (5273)  all_52_11 = e0
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (5273) imply:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | |   (5274)  all_58_27 = e0
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | REDUCE: (183), (5273) imply:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | |   (5275)   ~ (all_52_3 = e0)
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (5273) imply:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | |   (5276)   ~ (all_52_7 = e0)
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (5273) imply:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | |   (5277)   ~ (all_52_8 = e0)
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (5273) imply:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | |   (5278)   ~ (all_14_2 = e0)
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | REDUCE: (572), (5273) imply:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | |   (5279)   ~ (all_10_2 = e0)
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | |   (5280)  all_54_13 = e0
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (466), (5276), (5280) are inconsistent by
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #800.
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | |   (5281)   ~ (all_54_13 = e0)
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | |   (5282)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | |   (5283)  all_54_12 = e0
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (465), (5283) imply:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | |   (5284)  all_52_3 = e0
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5275), (5284) imply:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | |   (5285)  $false
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5285) is inconsistent.
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | |   (5286)   ~ (all_54_12 = e0)
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | |   (5287)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | |   (5288)  all_56_12 = e1
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (5288) imply:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | |   (5289)  all_52_3 = e1
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5289) implies:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | |   (5290)  all_52_3 = e1
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (5290) imply:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | |   (5291)  all_58_19 = e1
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (5290) imply:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | |   (5292)   ~ (all_52_1 = e1)
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (188), (5290) imply:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | |   (5293)   ~ (all_52_2 = e1)
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (5290) imply:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | |   (5294)   ~ (all_6_2 = e1)
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5294) implies:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | |   (5295)   ~ (all_6_2 = e1)
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | |   (5296)  all_54_4 = e0
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (5296) imply:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | |   (5297)  all_52_1 = e0
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5297) implies:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | |   (5298)  all_52_1 = e0
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (5298) imply:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | |   (5299)  all_58_17 = e0
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (193), (5298) imply:
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | |   (5300)   ~ (all_52_2 = e0)
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.23  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5300) implies:
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (5301)   ~ (all_52_2 = e0)
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5292), (5298) imply:
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (5302)   ~ (e1 = e0)
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5303)  all_58_19 = e0
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5291), (5303) imply:
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5304)  e1 = e0
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (5304) imply:
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5305)  $false
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5305) is inconsistent.
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5306)   ~ (all_58_19 = e0)
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5307)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5307) gives:
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5308)  all_58_18 = e1
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (5308) imply:
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5309)  all_52_2 = e1
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5293), (5309) imply:
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5310)  $false
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5310) is inconsistent.
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5311)   ~ (all_58_18 = e1)
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5312)  all_58_16 = e3 | all_58_17 = e2
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5312) gives:
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5313)  all_58_17 = e2
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5299), (5313) are inconsistent by sub-proof
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #981.
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5314)  all_58_16 = e3
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.39/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (5314) imply:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5315)  all_6_2 = e3
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (5315) imply:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5316)   ~ (all_52_2 = e3)
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (5315) imply:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5317)  op(all_6_1, e3) = all_6_0
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (5315) imply:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5318)  op(e3, e3) = all_6_1
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (619), (5315) imply:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5319)  op(e3, e3) = all_58_0
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (5315) imply:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5320)  op(e3, e3) = e3
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5321)  all_54_8 = e0
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (5301), (5321) are inconsistent by
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #839.
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5322)   ~ (all_54_8 = e0)
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5323)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5323) gives:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5324)  all_54_8 = e1
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (5293), (5324) are inconsistent by
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #671.
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5325)  all_54_8 = e3 | all_54_8 = e2
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5325) gives:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5326)  all_54_8 = e2
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (5326) imply:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5327)  all_52_2 = e2
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5327) implies:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5328)  all_52_2 = e2
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (5328) imply:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5329)  all_56_6 = e2
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5316), (5328) imply:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5330)   ~ (e3 = e2)
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_1,
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_58_0, e3, e3, simplifying with (5318), (5319)
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5331)  all_58_0 = all_6_1
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_58_0,
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e3, simplifying with (5319), (5320) gives:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5332)  all_58_0 = e3
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5331), (5332) imply:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5333)  all_6_1 = e3
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5333) implies:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5334)  all_6_1 = e3
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5317), (5334) imply:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5335)  op(e3, e3) = all_6_0
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_6_0,
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e3, simplifying with (5320), (5335) gives:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5336)  all_6_0 = e3
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5337)  all_56_6 = e0
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5329), (5337) imply:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5338)  e2 = e0
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (5338) imply:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5339)  $false
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5339) is inconsistent.
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5340)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (154), (156),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (157), (164), (165), (170), (172), (178), (179),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (180), (183), (184), (185), (187), (188), (190),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (203), (204), (213), (235), (245), (246), (248),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (267), (270), (272), (278), (284), (285), (286),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (291), (293), (294), (295), (296), (330), (331),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (333), (334), (335), (341), (347), (348), (351),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (356), (368), (371), (374), (386), (389), (390),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (396), (407), (411), (413), (421), (425), (429),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (431), (435), (439), (441), (451), (460), (465),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (466), (530), (532), (533), (534), (535), (536),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (537), (538), (539), (540), (541), (542), (544),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (546), (548), (550), (552), (554), (556), (557),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (558), (560), (562), (566), (567), (568), (569),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (570), (572), (574), (576), (577), (578), (621),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (624), (630), (631), (634), (713), (5109), (5110),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5112), (5122), (5149), (5153), (5156), (5164),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5168), (5265), (5275), (5287), (5301), (5340),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #101.
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5341)  all_54_8 = e3
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (5316), (5341) are inconsistent by
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #786.
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (5342)   ~ (all_54_4 = e0)
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (448), (5342) imply:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (5343)   ~ (all_52_1 = e0)
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (154), (156),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | |            (157), (170), (172), (177), (178), (179), (180),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | |            (184), (185), (188), (190), (193), (202), (242),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | |            (248), (270), (281), (282), (285), (287), (288),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | |            (291), (293), (294), (295), (331), (333), (334),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | |            (335), (348), (351), (356), (368), (371), (374),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | |            (377), (386), (389), (390), (396), (407), (411),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | |            (413), (425), (429), (431), (439), (441), (453),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | |            (532), (533), (535), (536), (537), (538), (539),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | |            (540), (541), (542), (544), (548), (550), (554),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | |            (555), (558), (560), (562), (564), (567), (578),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | |            (624), (5110), (5149), (5150), (5164), (5168),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | |            (5215), (5274), (5275), (5277), (5343),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | |            #90.
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | |   (5344)  all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5344) gives:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (5345)  all_56_13 = e1
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (5345) imply:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (5346)  all_52_7 = e1
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5346) implies:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (5347)  all_52_7 = e1
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (5347) imply:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (5348)   ~ (all_52_6 = e1)
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5349)  all_56_2 = e0
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (5349) imply:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5350)  all_52_1 = e0
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (5350) imply:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5351)  all_58_17 = e0
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (5350) imply:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5352)   ~ (all_52_3 = e0)
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (189), (5350) imply:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5353)   ~ (all_52_13 = e0)
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5353) implies:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5354)   ~ (all_52_13 = e0)
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (555), (5350) imply:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5355)   ~ (all_4_2 = e0)
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5355) implies:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5356)   ~ (all_4_2 = e0)
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5357)  all_56_1 = e0
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (5357) imply:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5358)  all_52_4 = e0
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (5358) imply:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5359)  all_58_20 = e0
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (333), (368), (386), (540), (624),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5110), (5276), (5348), (5356), (5359),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #98.
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5360)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (36), (157), (170), (172),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (184), (185), (187), (188), (248), (270), (272),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (291), (293), (295), (296), (331), (333), (334),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (335), (348), (351), (356), (368), (371), (374),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (389), (390), (407), (413), (425), (439),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (441), (466), (532), (533), (535), (536), (537),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (538), (539), (540), (541), (542), (544), (546),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (548), (550), (554), (556), (557), (560), (562),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (568), (576), (624), (5110), (5149), (5274),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5275), (5276), (5282), (5349), (5351), (5354),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5356), (5360), (function-axioms) are inconsistent
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #89.
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5361)   ~ (all_56_2 = e0)
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (411), (5361) imply:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5362)   ~ (all_52_1 = e0)
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (154), (156),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (157), (170), (172), (177), (178), (179), (180),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (184), (185), (188), (190), (193), (202), (242),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (248), (270), (281), (282), (285), (287), (288),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (291), (293), (294), (295), (331), (333), (334),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (335), (348), (351), (356), (368), (371), (374),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (377), (386), (389), (390), (396), (407), (411),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (413), (425), (429), (431), (439), (441), (453),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (532), (533), (535), (536), (537), (538), (539),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (540), (541), (542), (544), (548), (550), (554),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (555), (558), (560), (562), (564), (567), (578),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (624), (5110), (5149), (5150), (5164), (5168),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (5215), (5274), (5275), (5277), (5362),
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            #90.
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (5363)  all_56_14 = e1 | all_56_15 = e1
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (533), (5126), (5271), (5363) are
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #875.
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.24  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.24  | | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | | End of split
% 168.40/25.24  | | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | | End of split
% 168.40/25.24  | | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | | End of split
% 168.40/25.24  | | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | | End of split
% 168.40/25.24  | | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | | End of split
% 168.40/25.24  | | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | | End of split
% 168.40/25.24  | | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | End of split
% 168.40/25.24  | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | Case 2:
% 168.40/25.24  | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | |   (5364)  all_48_2 = e1
% 168.40/25.24  | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | COMBINE_EQS: (478), (5364) imply:
% 168.40/25.24  | | | | | | | | | | |   (5365)  all_14_2 = e1
% 168.40/25.24  | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | SIMP: (5365) implies:
% 168.40/25.24  | | | | | | | | | | |   (5366)  all_14_2 = e1
% 168.40/25.24  | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | COMBINE_EQS: (525), (5366) imply:
% 168.40/25.24  | | | | | | | | | | |   (5367)  all_50_2 = e1
% 168.40/25.24  | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | COMBINE_EQS: (533), (5366) imply:
% 168.40/25.24  | | | | | | | | | | |   (5368)  all_56_15 = e1
% 168.40/25.24  | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | COMBINE_EQS: (537), (5366) imply:
% 168.40/25.24  | | | | | | | | | | |   (5369)  all_58_31 = e1
% 168.40/25.24  | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | REDUCE: (557), (5366) imply:
% 168.40/25.24  | | | | | | | | | | |   (5370)   ~ (all_52_3 = e1)
% 168.40/25.24  | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | REDUCE: (568), (5366) imply:
% 168.40/25.24  | | | | | | | | | | |   (5371)   ~ (all_52_7 = e1)
% 168.40/25.24  | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | REDUCE: (575), (5366) imply:
% 168.40/25.24  | | | | | | | | | | |   (5372)   ~ (all_52_11 = e1)
% 168.40/25.24  | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | REDUCE: (576), (5366) imply:
% 168.40/25.24  | | | | | | | | | | |   (5373)   ~ (all_52_12 = e1)
% 168.40/25.24  | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | REDUCE: (577), (5366) imply:
% 168.40/25.24  | | | | | | | | | | |   (5374)   ~ (all_52_13 = e1)
% 168.40/25.24  | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | REDUCE: (578), (5366) imply:
% 168.40/25.24  | | | | | | | | | | |   (5375)   ~ (all_52_14 = e1)
% 168.40/25.24  | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | REDUCE: (63), (5366) imply:
% 168.40/25.24  | | | | | | | | | | |   (5376)  op(all_14_1, e1) = all_14_0
% 168.40/25.24  | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | REDUCE: (62), (5366) imply:
% 168.40/25.24  | | | | | | | | | | |   (5377)  op(e1, e0) = all_14_1
% 168.40/25.24  | | | | | | | | | | | 
% 168.40/25.24  | | | | | | | | | | | REDUCE: (634), (5366) imply:
% 168.40/25.24  | | | | | | | | | | |   (5378)  op(e0, e1) = all_58_15
% 168.40/25.24  | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (42), (43),
% 168.40/25.25  | | | | | | | | | | |            (150), (154), (156), (157), (162), (164), (165),
% 168.40/25.25  | | | | | | | | | | |            (167), (169), (170), (172), (177), (178), (179),
% 168.40/25.25  | | | | | | | | | | |            (180), (183), (184), (185), (187), (188), (189),
% 168.40/25.25  | | | | | | | | | | |            (190), (192), (193), (201), (202), (204), (206),
% 168.40/25.25  | | | | | | | | | | |            (207), (209), (211), (213), (234), (235), (236),
% 168.40/25.25  | | | | | | | | | | |            (237), (238), (239), (240), (241), (243), (244),
% 168.40/25.25  | | | | | | | | | | |            (245), (246), (247), (248), (266), (268), (269),
% 168.40/25.25  | | | | | | | | | | |            (270), (271), (272), (273), (274), (275), (276),
% 168.40/25.25  | | | | | | | | | | |            (277), (279), (281), (282), (284), (285), (286),
% 168.40/25.25  | | | | | | | | | | |            (289), (290), (291), (292), (293), (294), (295),
% 168.40/25.25  | | | | | | | | | | |            (296), (331), (332), (333), (334), (335), (347),
% 168.40/25.25  | | | | | | | | | | |            (348), (351), (356), (368), (371), (374), (377),
% 168.40/25.25  | | | | | | | | | | |            (386), (389), (390), (395), (396), (407), (411),
% 168.40/25.25  | | | | | | | | | | |            (413), (425), (429), (431), (435), (439), (441),
% 168.40/25.25  | | | | | | | | | | |            (446), (448), (451), (455), (456), (460), (462),
% 168.40/25.25  | | | | | | | | | | |            (463), (465), (466), (468), (530), (531), (532),
% 168.40/25.25  | | | | | | | | | | |            (533), (534), (535), (536), (537), (538), (539),
% 168.40/25.25  | | | | | | | | | | |            (540), (541), (542), (544), (546), (548), (550),
% 168.40/25.25  | | | | | | | | | | |            (552), (554), (555), (556), (557), (558), (560),
% 168.40/25.25  | | | | | | | | | | |            (562), (564), (566), (567), (568), (569), (570),
% 168.40/25.25  | | | | | | | | | | |            (572), (574), (576), (620), (624), (628), (692),
% 168.40/25.25  | | | | | | | | | | |            (769), (5110), (5111), (5112), (5114), (5124),
% 168.40/25.25  | | | | | | | | | | |            (5367), (5368), (5369), (5370), (5371), (5372),
% 168.40/25.25  | | | | | | | | | | |            (5373), (5374), (5375), (5376), (5377), (5378),
% 168.40/25.25  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.40/25.25  | | | | | | | | | | |            #84.
% 168.40/25.25  | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | End of split
% 168.40/25.25  | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | Case 2:
% 168.40/25.25  | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | |   (5379)  all_42_2 = e0
% 168.40/25.25  | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (42), (61),
% 168.40/25.25  | | | | | | | | | |            (62), (63), (145), (154), (156), (157), (161),
% 168.40/25.25  | | | | | | | | | |            (162), (164), (165), (167), (169), (170), (172),
% 168.40/25.25  | | | | | | | | | |            (177), (178), (179), (180), (183), (184), (185),
% 168.40/25.25  | | | | | | | | | |            (187), (188), (189), (190), (192), (193), (201),
% 168.40/25.25  | | | | | | | | | |            (202), (203), (204), (208), (212), (233), (234),
% 168.40/25.25  | | | | | | | | | |            (235), (236), (237), (239), (241), (242), (243),
% 168.40/25.25  | | | | | | | | | |            (244), (245), (246), (247), (266), (267), (270),
% 168.40/25.25  | | | | | | | | | |            (271), (272), (273), (274), (275), (276), (277),
% 168.40/25.25  | | | | | | | | | |            (278), (279), (280), (281), (282), (284), (286),
% 168.40/25.25  | | | | | | | | | |            (287), (291), (292), (293), (294), (295), (330),
% 168.40/25.25  | | | | | | | | | |            (331), (332), (333), (334), (335), (341), (347),
% 168.40/25.25  | | | | | | | | | |            (348), (351), (356), (368), (371), (374), (377),
% 168.40/25.25  | | | | | | | | | |            (386), (389), (390), (395), (396), (407), (411),
% 168.40/25.25  | | | | | | | | | |            (413), (425), (429), (431), (435), (439), (441),
% 168.40/25.25  | | | | | | | | | |            (446), (448), (451), (453), (456), (460), (462),
% 168.40/25.25  | | | | | | | | | |            (463), (465), (466), (468), (478), (494), (531),
% 168.40/25.25  | | | | | | | | | |            (533), (534), (535), (536), (537), (538), (539),
% 168.40/25.25  | | | | | | | | | |            (540), (541), (542), (544), (546), (548), (550),
% 168.40/25.25  | | | | | | | | | |            (552), (554), (555), (556), (557), (558), (560),
% 168.40/25.25  | | | | | | | | | |            (562), (564), (566), (567), (568), (569), (570),
% 168.40/25.25  | | | | | | | | | |            (572), (574), (575), (576), (577), (578), (619),
% 168.40/25.25  | | | | | | | | | |            (624), (625), (626), (628), (630), (631), (632),
% 168.40/25.25  | | | | | | | | | |            (633), (634), (5107), (5109), (5110), (5112),
% 168.40/25.25  | | | | | | | | | |            (5115), (5379), (function-axioms) are inconsistent
% 168.40/25.25  | | | | | | | | | |            by sub-proof #78.
% 168.40/25.25  | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | End of split
% 168.40/25.25  | | | | | | | | | 
% 168.40/25.25  | | | | | | | | End of split
% 168.40/25.25  | | | | | | | | 
% 168.40/25.25  | | | | | | | Case 2:
% 168.40/25.25  | | | | | | | | 
% 168.40/25.25  | | | | | | | |   (5380)  all_20_1 = e0
% 168.40/25.25  | | | | | | | | 
% 168.40/25.25  | | | | | | | | COMBINE_EQS: (682), (5380) imply:
% 168.40/25.25  | | | | | | | |   (5381)  all_10_1 = e0
% 168.40/25.25  | | | | | | | | 
% 168.40/25.25  | | | | | | | | SIMP: (5381) implies:
% 168.40/25.25  | | | | | | | |   (5382)  all_10_1 = e0
% 168.40/25.25  | | | | | | | | 
% 168.40/25.25  | | | | | | | | COMBINE_EQS: (646), (5382) imply:
% 168.40/25.25  | | | | | | | |   (5383)  all_34_1 = e0
% 168.40/25.25  | | | | | | | | 
% 168.40/25.25  | | | | | | | | REDUCE: (53), (5382) imply:
% 168.40/25.25  | | | | | | | |   (5384)  op(e0, all_10_2) = all_10_0
% 168.40/25.25  | | | | | | | | 
% 168.40/25.25  | | | | | | | | REDUCE: (52), (5382) imply:
% 168.40/25.25  | | | | | | | |   (5385)  op(all_10_2, e1) = e0
% 168.40/25.25  | | | | | | | | 
% 168.40/25.25  | | | | | | | | BETA: splitting (112) gives:
% 168.40/25.25  | | | | | | | | 
% 168.40/25.25  | | | | | | | | Case 1:
% 168.40/25.25  | | | | | | | | | 
% 168.40/25.25  | | | | | | | | |   (5386)   ~ (all_34_1 = e0)
% 168.40/25.25  | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | REDUCE: (5383), (5386) imply:
% 168.40/25.25  | | | | | | | | |   (5387)  $false
% 168.40/25.25  | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | CLOSE: (5387) is inconsistent.
% 168.40/25.25  | | | | | | | | | 
% 168.40/25.25  | | | | | | | | Case 2:
% 168.40/25.25  | | | | | | | | | 
% 168.40/25.25  | | | | | | | | |   (5388)   ~ (all_34_0 = e2) |  ~ (all_34_2 = e3)
% 168.40/25.25  | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | BETA: splitting (131) gives:
% 168.40/25.25  | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | Case 1:
% 168.40/25.25  | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | |   (5389)   ~ (all_42_2 = e0)
% 168.40/25.25  | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | REDUCE: (494), (5389) imply:
% 168.40/25.25  | | | | | | | | | |   (5390)   ~ (all_6_2 = e0)
% 168.40/25.25  | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | BETA: splitting (145) gives:
% 168.40/25.25  | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | Case 1:
% 168.40/25.25  | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | |   (5391)   ~ (all_48_2 = e1)
% 168.40/25.25  | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | REDUCE: (478), (5391) imply:
% 168.40/25.25  | | | | | | | | | | |   (5392)   ~ (all_14_2 = e1)
% 168.40/25.25  | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | BETA: splitting (266) gives:
% 168.40/25.25  | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | Case 1:
% 168.40/25.25  | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | |   (5393)  all_56_15 = e0
% 168.40/25.25  | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | COMBINE_EQS: (533), (5393) imply:
% 168.40/25.25  | | | | | | | | | | | |   (5394)  all_14_2 = e0
% 168.40/25.25  | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | SIMP: (5394) implies:
% 168.40/25.25  | | | | | | | | | | | |   (5395)  all_14_2 = e0
% 168.40/25.25  | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | REDUCE: (557), (5395) imply:
% 168.40/25.25  | | | | | | | | | | | |   (5396)   ~ (all_52_3 = e0)
% 168.40/25.25  | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | REDUCE: (575), (5395) imply:
% 168.40/25.25  | | | | | | | | | | | |   (5397)   ~ (all_52_11 = e0)
% 168.40/25.25  | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | REDUCE: (576), (5395) imply:
% 168.40/25.25  | | | | | | | | | | | |   (5398)   ~ (all_52_12 = e0)
% 168.40/25.25  | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | REDUCE: (577), (5395) imply:
% 168.40/25.25  | | | | | | | | | | | |   (5399)   ~ (all_52_13 = e0)
% 168.40/25.25  | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | REDUCE: (578), (5395) imply:
% 168.40/25.25  | | | | | | | | | | | |   (5400)   ~ (all_52_14 = e0)
% 168.40/25.25  | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | REDUCE: (5392), (5395) imply:
% 168.40/25.25  | | | | | | | | | | | |   (5401)   ~ (e1 = e0)
% 168.40/25.25  | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | REDUCE: (634), (5395) imply:
% 168.40/25.25  | | | | | | | | | | | |   (5402)  op(e0, e0) = all_58_15
% 168.40/25.25  | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | REDUCE: (61), (5395) imply:
% 168.40/25.25  | | | | | | | | | | | |   (5403)  op(e0, e0) = e0
% 168.40/25.25  | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 168.40/25.25  | | | | | | | | | | | |              all_58_15, e0, e0, simplifying with (5402), (5403)
% 168.40/25.25  | | | | | | | | | | | |              gives:
% 168.40/25.25  | | | | | | | | | | | |   (5404)  all_58_15 = e0
% 168.40/25.25  | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (36), (41), (51), (52),
% 168.40/25.25  | | | | | | | | | | | |            (154), (156), (157), (162), (164), (165), (167),
% 168.40/25.25  | | | | | | | | | | | |            (170), (172), (177), (178), (179), (183), (185),
% 168.40/25.25  | | | | | | | | | | | |            (187), (188), (190), (192), (193), (202), (204),
% 168.40/25.25  | | | | | | | | | | | |            (208), (212), (234), (236), (237), (245), (246),
% 168.40/25.25  | | | | | | | | | | | |            (248), (269), (270), (271), (273), (277), (280),
% 168.40/25.25  | | | | | | | | | | | |            (281), (284), (289), (290), (293), (294), (295),
% 168.40/25.25  | | | | | | | | | | | |            (296), (330), (332), (333), (335), (347), (351),
% 168.40/25.25  | | | | | | | | | | | |            (368), (371), (377), (386), (389), (390), (395),
% 168.40/25.25  | | | | | | | | | | | |            (396), (407), (411), (413), (425), (429), (431),
% 168.40/25.25  | | | | | | | | | | | |            (435), (439), (441), (451), (460), (463), (465),
% 168.40/25.25  | | | | | | | | | | | |            (468), (532), (533), (534), (535), (536), (539),
% 168.40/25.25  | | | | | | | | | | | |            (540), (541), (542), (544), (546), (548), (550),
% 168.40/25.25  | | | | | | | | | | | |            (552), (554), (555), (556), (558), (560), (562),
% 168.40/25.25  | | | | | | | | | | | |            (564), (567), (569), (574), (619), (620), (621),
% 168.40/25.25  | | | | | | | | | | | |            (623), (624), (625), (627), (628), (629), (5110),
% 168.40/25.25  | | | | | | | | | | | |            (5112), (5390), (5392), (5396), (5397), (5398),
% 168.40/25.25  | | | | | | | | | | | |            (5399), (5400), (5404), (function-axioms) are
% 168.40/25.25  | | | | | | | | | | | |            inconsistent by sub-proof #118.
% 168.40/25.25  | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | Case 2:
% 168.40/25.25  | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | |   (5405)   ~ (all_56_15 = e0)
% 168.40/25.25  | | | | | | | | | | | |   (5406)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 168.40/25.25  | | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 168.40/25.25  | | | | | | | | | | | |             e0)
% 168.40/25.25  | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | ALPHA: (5406) implies:
% 168.40/25.25  | | | | | | | | | | | |   (5407)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 168.40/25.25  | | | | | | | | | | | |   (5408)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 168.40/25.25  | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | REDUCE: (533), (5405) imply:
% 168.40/25.25  | | | | | | | | | | | |   (5409)   ~ (all_14_2 = e0)
% 168.40/25.25  | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | BETA: splitting (233) gives:
% 168.40/25.25  | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | Case 1:
% 168.40/25.25  | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | |   (5410)  all_54_15 = e0
% 168.40/25.25  | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | REF_CLOSE: (341), (5409), (5410) are inconsistent by
% 168.40/25.25  | | | | | | | | | | | | |            sub-proof #910.
% 168.40/25.25  | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | Case 2:
% 168.40/25.25  | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | |   (5411)   ~ (all_54_15 = e0)
% 168.40/25.25  | | | | | | | | | | | | |   (5412)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 168.40/25.25  | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | BETA: splitting (238) gives:
% 168.40/25.25  | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | Case 1:
% 168.40/25.25  | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | |   (5413)  all_54_10 = e0
% 168.40/25.25  | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | REF_CLOSE: (530), (5112), (5413) are inconsistent by
% 168.40/25.25  | | | | | | | | | | | | | |            sub-proof #909.
% 168.40/25.25  | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | Case 2:
% 168.40/25.25  | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | |   (5414)   ~ (all_54_10 = e0)
% 168.40/25.25  | | | | | | | | | | | | | |   (5415)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 168.40/25.25  | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 168.40/25.25  | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | Case 1:
% 168.40/25.25  | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | |   (5416)  all_54_0 = e0
% 168.40/25.25  | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | REF_CLOSE: (532), (5390), (5416) are inconsistent by
% 168.40/25.25  | | | | | | | | | | | | | | |            sub-proof #984.
% 168.40/25.25  | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | Case 2:
% 168.40/25.25  | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | |   (5417)   ~ (all_54_0 = e0)
% 168.40/25.25  | | | | | | | | | | | | | | |   (5418)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 168.40/25.25  | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 168.40/25.25  | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | Case 1:
% 168.40/25.25  | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | |   (5419)  all_56_6 = e0
% 168.40/25.25  | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (5419) imply:
% 168.40/25.25  | | | | | | | | | | | | | | | |   (5420)  all_52_2 = e0
% 168.40/25.25  | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (5420) imply:
% 168.40/25.25  | | | | | | | | | | | | | | | |   (5421)  all_58_18 = e0
% 168.40/25.25  | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | REDUCE: (187), (5420) imply:
% 168.40/25.25  | | | | | | | | | | | | | | | |   (5422)   ~ (all_52_6 = e0)
% 168.40/25.25  | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | SIMP: (5422) implies:
% 168.40/25.25  | | | | | | | | | | | | | | | |   (5423)   ~ (all_52_6 = e0)
% 168.40/25.25  | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | REDUCE: (185), (5420) imply:
% 168.40/25.25  | | | | | | | | | | | | | | | |   (5424)   ~ (all_52_14 = e0)
% 168.40/25.25  | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | SIMP: (5424) implies:
% 168.40/25.25  | | | | | | | | | | | | | | | |   (5425)   ~ (all_52_14 = e0)
% 168.40/25.25  | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | REDUCE: (556), (5420) imply:
% 168.40/25.25  | | | | | | | | | | | | | | | |   (5426)   ~ (all_10_2 = e0)
% 168.40/25.25  | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | REDUCE: (546), (5420) imply:
% 168.40/25.25  | | | | | | | | | | | | | | | |   (5427)   ~ (all_6_2 = e0)
% 168.40/25.25  | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | REDUCE: (207), (5420) imply:
% 168.40/25.25  | | | | | | | | | | | | | | | |   (5428)  op(e1, e3) = e0
% 168.40/25.25  | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 168.40/25.25  | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.25  | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | |   (5429)  all_54_13 = e0
% 168.40/25.25  | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (5429) imply:
% 168.40/25.25  | | | | | | | | | | | | | | | | |   (5430)  all_52_7 = e0
% 168.40/25.25  | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | SIMP: (5430) implies:
% 168.40/25.25  | | | | | | | | | | | | | | | | |   (5431)  all_52_7 = e0
% 168.40/25.25  | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (5431) imply:
% 168.40/25.25  | | | | | | | | | | | | | | | | |   (5432)  all_56_13 = e0
% 168.40/25.25  | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | REDUCE: (184), (5431) imply:
% 168.40/25.25  | | | | | | | | | | | | | | | | |   (5433)   ~ (all_52_3 = e0)
% 168.40/25.25  | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | REDUCE: (179), (5431) imply:
% 168.40/25.25  | | | | | | | | | | | | | | | | |   (5434)   ~ (all_52_4 = e0)
% 168.40/25.25  | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | REDUCE: (169), (5431) imply:
% 168.40/25.25  | | | | | | | | | | | | | | | | |   (5435)   ~ (all_52_11 = e0)
% 168.40/25.25  | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | SIMP: (5435) implies:
% 168.40/25.25  | | | | | | | | | | | | | | | | |   (5436)   ~ (all_52_11 = e0)
% 168.40/25.25  | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (42), (161), (162),
% 168.40/25.25  | | | | | | | | | | | | | | | | |            (164), (165), (167), (170), (189), (190), (192),
% 168.40/25.25  | | | | | | | | | | | | | | | | |            (203), (239), (244), (267), (270), (277), (290),
% 168.40/25.25  | | | | | | | | | | | | | | | | |            (293), (295), (331), (332), (335), (341), (347),
% 168.40/25.25  | | | | | | | | | | | | | | | | |            (351), (356), (374), (377), (389), (390), (395),
% 168.40/25.25  | | | | | | | | | | | | | | | | |            (396), (407), (411), (429), (431), (435), (439),
% 168.40/25.25  | | | | | | | | | | | | | | | | |            (441), (448), (456), (504), (530), (532), (533),
% 168.40/25.25  | | | | | | | | | | | | | | | | |            (534), (536), (537), (538), (539), (542), (544),
% 168.40/25.25  | | | | | | | | | | | | | | | | |            (548), (552), (554), (557), (567), (569), (570),
% 168.40/25.25  | | | | | | | | | | | | | | | | |            (572), (574), (575), (576), (577), (628), (634),
% 168.40/25.25  | | | | | | | | | | | | | | | | |            (767), (5112), (5114), (5384), (5388), (5390),
% 168.40/25.25  | | | | | | | | | | | | | | | | |            (5392), (5408), (5412), (5415), (5418), (5419),
% 168.40/25.25  | | | | | | | | | | | | | | | | |            (5421), (5423), (5425), (5428), (5432), (5433),
% 168.40/25.25  | | | | | | | | | | | | | | | | |            (5434), (5436), (function-axioms) are inconsistent
% 168.40/25.25  | | | | | | | | | | | | | | | | |            by sub-proof #445.
% 168.40/25.25  | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.25  | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | |   (5437)   ~ (all_54_13 = e0)
% 168.40/25.25  | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | REDUCE: (466), (5437) imply:
% 168.40/25.25  | | | | | | | | | | | | | | | | |   (5438)   ~ (all_52_7 = e0)
% 168.40/25.25  | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 168.40/25.25  | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.25  | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | |   (5439)  all_56_1 = e0
% 168.40/25.25  | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (5439) imply:
% 168.40/25.25  | | | | | | | | | | | | | | | | | |   (5440)  all_52_4 = e0
% 168.40/25.25  | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (5440) imply:
% 168.40/25.25  | | | | | | | | | | | | | | | | | |   (5441)  all_58_20 = e0
% 168.40/25.25  | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | REDUCE: (179), (5440) imply:
% 168.40/25.25  | | | | | | | | | | | | | | | | | |   (5442)   ~ (all_52_7 = e0)
% 168.40/25.25  | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | REDUCE: (177), (5440) imply:
% 168.40/25.25  | | | | | | | | | | | | | | | | | |   (5443)   ~ (all_52_12 = e0)
% 168.40/25.25  | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | SIMP: (5443) implies:
% 168.40/25.25  | | | | | | | | | | | | | | | | | |   (5444)   ~ (all_52_12 = e0)
% 168.40/25.25  | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | REDUCE: (558), (5440) imply:
% 168.40/25.25  | | | | | | | | | | | | | | | | | |   (5445)   ~ (all_4_2 = e0)
% 168.40/25.25  | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | SIMP: (5445) implies:
% 168.40/25.25  | | | | | | | | | | | | | | | | | |   (5446)   ~ (all_4_2 = e0)
% 168.40/25.25  | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | BETA: splitting (5408) gives:
% 168.40/25.25  | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | |   (5447)  all_56_9 = e0
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (390), (5444), (5447) are inconsistent by
% 168.40/25.25  | | | | | | | | | | | | | | | | | | |            sub-proof #908.
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | |   (5448)  all_56_10 = e0 | all_56_11 = e0
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | BETA: splitting (5448) gives:
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | |   (5449)  all_56_10 = e0
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (5449) imply:
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | |   (5450)  all_52_13 = e0
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | | SIMP: (5450) implies:
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | |   (5451)  all_52_13 = e0
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (5451) imply:
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | |   (5452)  all_58_29 = e0
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (36), (156), (170), (270),
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | |            (331), (333), (356), (368), (386), (390), (441),
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | |            (533), (537), (538), (540), (624), (5110), (5392),
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | |            (5409), (5438), (5441), (5446), (5449), (5452),
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | |            #97.
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | |   (5453)  all_56_11 = e0
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (5425), (5453) are inconsistent by
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | |            sub-proof #873.
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.25  | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.25  | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | |   (5454)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 168.40/25.25  | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | BETA: splitting (5454) gives:
% 168.40/25.25  | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | |   (5455)  all_56_3 = e0
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (5455) imply:
% 168.40/25.25  | | | | | | | | | | | | | | | | | | |   (5456)  all_4_2 = e0
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (202), (562), (5110), (5456), (function-axioms)
% 168.40/25.25  | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #117.
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | |   (5457)  all_56_7 = e0 | all_56_13 = e0
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (348), (425), (5423), (5438), (5457) are
% 168.40/25.25  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #941.
% 168.40/25.25  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.25  | | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | | End of split
% 168.40/25.25  | | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | End of split
% 168.40/25.25  | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | Case 2:
% 168.40/25.25  | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | |   (5458)   ~ (all_56_6 = e0)
% 168.40/25.25  | | | | | | | | | | | | | | | | 
% 168.40/25.25  | | | | | | | | | | | | | | | | REDUCE: (413), (5458) imply:
% 168.40/25.26  | | | | | | | | | | | | | | | |   (5459)   ~ (all_52_2 = e0)
% 168.40/25.26  | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 168.40/25.26  | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.26  | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | |   (5460)  all_56_0 = e0
% 168.40/25.26  | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (5460) imply:
% 168.40/25.26  | | | | | | | | | | | | | | | | |   (5461)  all_6_2 = e0
% 168.40/25.26  | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | | REDUCE: (5390), (5461) imply:
% 168.40/25.26  | | | | | | | | | | | | | | | | |   (5462)  $false
% 168.40/25.26  | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | | CLOSE: (5462) is inconsistent.
% 168.40/25.26  | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.26  | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | |   (5463)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 168.40/25.26  | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 168.40/25.26  | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.26  | | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | | |   (5464)  all_54_12 = e0
% 168.40/25.26  | | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (43), (154),
% 168.40/25.26  | | | | | | | | | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 168.40/25.26  | | | | | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 168.40/25.26  | | | | | | | | | | | | | | | | | |            (183), (184), (185), (187), (188), (189), (190),
% 168.40/25.26  | | | | | | | | | | | | | | | | | |            (192), (193), (202), (206), (207), (209), (211),
% 168.40/25.26  | | | | | | | | | | | | | | | | | |            (234), (235), (239), (240), (243), (244), (245),
% 168.40/25.26  | | | | | | | | | | | | | | | | | |            (246), (247), (267), (268), (270), (272), (273),
% 168.40/25.26  | | | | | | | | | | | | | | | | | |            (275), (276), (277), (278), (282), (284), (285),
% 168.40/25.26  | | | | | | | | | | | | | | | | | |            (286), (288), (289), (290), (291), (292), (293),
% 168.40/25.26  | | | | | | | | | | | | | | | | | |            (294), (295), (331), (332), (333), (334), (341),
% 168.40/25.26  | | | | | | | | | | | | | | | | | |            (347), (348), (351), (356), (368), (371), (374),
% 168.40/25.26  | | | | | | | | | | | | | | | | | |            (377), (386), (389), (390), (395), (396), (407),
% 168.40/25.26  | | | | | | | | | | | | | | | | | |            (411), (413), (425), (429), (431), (435), (439),
% 168.40/25.26  | | | | | | | | | | | | | | | | | |            (441), (446), (448), (451), (455), (456), (460),
% 168.40/25.26  | | | | | | | | | | | | | | | | | |            (465), (466), (468), (531), (532), (533), (534),
% 168.40/25.26  | | | | | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (540), (541),
% 168.40/25.26  | | | | | | | | | | | | | | | | | |            (542), (544), (546), (548), (550), (552), (554),
% 168.40/25.26  | | | | | | | | | | | | | | | | | |            (555), (556), (558), (560), (562), (564), (566),
% 168.40/25.26  | | | | | | | | | | | | | | | | | |            (567), (568), (569), (570), (572), (574), (575),
% 168.40/25.26  | | | | | | | | | | | | | | | | | |            (576), (577), (578), (5110), (5111), (5112),
% 168.40/25.26  | | | | | | | | | | | | | | | | | |            (5114), (5408), (5412), (5418), (5464),
% 168.40/25.26  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.40/25.26  | | | | | | | | | | | | | | | | | |            #75.
% 168.40/25.26  | | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.26  | | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | | |   (5465)   ~ (all_54_12 = e0)
% 168.40/25.26  | | | | | | | | | | | | | | | | | |   (5466)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 168.40/25.26  | | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | | | REDUCE: (465), (5465) imply:
% 168.40/25.26  | | | | | | | | | | | | | | | | | |   (5467)   ~ (all_52_3 = e0)
% 168.40/25.26  | | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | | | BETA: splitting (5463) gives:
% 168.40/25.26  | | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.26  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |   (5468)  all_56_2 = e0
% 168.40/25.26  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (5468) imply:
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |   (5469)  all_52_1 = e0
% 168.40/25.26  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | | | | REDUCE: (192), (5469) imply:
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |   (5470)   ~ (all_52_3 = e0)
% 168.40/25.26  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | | | | REDUCE: (189), (5469) imply:
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |   (5471)   ~ (all_52_13 = e0)
% 168.40/25.26  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | | | | SIMP: (5471) implies:
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |   (5472)   ~ (all_52_13 = e0)
% 168.40/25.26  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (42), (51),
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |            (61), (62), (154), (156), (157), (161), (162),
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |            (164), (165), (167), (169), (170), (172), (177),
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |            (178), (179), (180), (183), (184), (185), (187),
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |            (188), (189), (190), (192), (193), (202), (203),
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |            (204), (208), (212), (213), (234), (236), (239),
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |            (241), (242), (244), (245), (246), (247), (248),
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |            (267), (269), (270), (271), (272), (273), (276),
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |            (277), (278), (279), (281), (282), (284), (285),
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |            (286), (287), (289), (290), (291), (293), (295),
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |            (330), (331), (332), (333), (334), (335), (341),
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |            (347), (348), (351), (356), (368), (371), (374),
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |            (377), (386), (389), (390), (395), (396), (407),
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |            (411), (413), (425), (429), (431), (435), (439),
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |            (441), (446), (448), (451), (453), (456), (460),
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |            (462), (465), (468), (530), (532), (533), (534),
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (540), (541),
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |            (542), (544), (546), (548), (550), (552), (554),
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |            (556), (557), (558), (562), (564), (566), (567),
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |            (568), (569), (570), (572), (574), (575), (576),
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |            (577), (578), (619), (620), (621), (624), (625),
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |            (629), (630), (631), (632), (5110), (5112),
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |            (5117), (5385), (5392), (5407), (5408), (5412),
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |            (5415), (5466), (5467), (5472), (function-axioms)
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #63.
% 168.40/25.26  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.26  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |   (5473)  all_56_6 = e0 | all_56_12 = e0
% 168.40/25.26  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (413), (5459), (5467), (5473) are
% 168.40/25.26  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #918.
% 168.40/25.26  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.26  | | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | | End of split
% 168.40/25.26  | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | End of split
% 168.40/25.26  | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | End of split
% 168.40/25.26  | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | End of split
% 168.40/25.26  | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | End of split
% 168.40/25.26  | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | End of split
% 168.40/25.26  | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | End of split
% 168.40/25.26  | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | Case 2:
% 168.40/25.26  | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | |   (5474)  all_48_2 = e1
% 168.40/25.26  | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | COMBINE_EQS: (478), (5474) imply:
% 168.40/25.26  | | | | | | | | | | |   (5475)  all_14_2 = e1
% 168.40/25.26  | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | SIMP: (5475) implies:
% 168.40/25.26  | | | | | | | | | | |   (5476)  all_14_2 = e1
% 168.40/25.26  | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | COMBINE_EQS: (525), (5476) imply:
% 168.40/25.26  | | | | | | | | | | |   (5477)  all_50_2 = e1
% 168.40/25.26  | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | COMBINE_EQS: (533), (5476) imply:
% 168.40/25.26  | | | | | | | | | | |   (5478)  all_56_15 = e1
% 168.40/25.26  | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | COMBINE_EQS: (537), (5476) imply:
% 168.40/25.26  | | | | | | | | | | |   (5479)  all_58_31 = e1
% 168.40/25.26  | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | REDUCE: (557), (5476) imply:
% 168.40/25.26  | | | | | | | | | | |   (5480)   ~ (all_52_3 = e1)
% 168.40/25.26  | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | REDUCE: (568), (5476) imply:
% 168.40/25.26  | | | | | | | | | | |   (5481)   ~ (all_52_7 = e1)
% 168.40/25.26  | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | REDUCE: (575), (5476) imply:
% 168.40/25.26  | | | | | | | | | | |   (5482)   ~ (all_52_11 = e1)
% 168.40/25.26  | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | REDUCE: (576), (5476) imply:
% 168.40/25.26  | | | | | | | | | | |   (5483)   ~ (all_52_12 = e1)
% 168.40/25.26  | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | REDUCE: (577), (5476) imply:
% 168.40/25.26  | | | | | | | | | | |   (5484)   ~ (all_52_13 = e1)
% 168.40/25.26  | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | REDUCE: (578), (5476) imply:
% 168.40/25.26  | | | | | | | | | | |   (5485)   ~ (all_52_14 = e1)
% 168.40/25.26  | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | REDUCE: (63), (5476) imply:
% 168.40/25.26  | | | | | | | | | | |   (5486)  op(all_14_1, e1) = all_14_0
% 168.40/25.26  | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | REDUCE: (62), (5476) imply:
% 168.40/25.26  | | | | | | | | | | |   (5487)  op(e1, e0) = all_14_1
% 168.40/25.26  | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | REDUCE: (634), (5476) imply:
% 168.40/25.26  | | | | | | | | | | |   (5488)  op(e0, e1) = all_58_15
% 168.40/25.26  | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (42), (43),
% 168.40/25.26  | | | | | | | | | | |            (150), (154), (156), (157), (162), (164), (165),
% 168.40/25.26  | | | | | | | | | | |            (167), (169), (170), (172), (177), (178), (179),
% 168.40/25.26  | | | | | | | | | | |            (180), (183), (184), (185), (187), (188), (189),
% 168.40/25.26  | | | | | | | | | | |            (190), (192), (193), (201), (202), (204), (206),
% 168.40/25.26  | | | | | | | | | | |            (207), (209), (211), (213), (234), (235), (236),
% 168.40/25.26  | | | | | | | | | | |            (237), (238), (239), (240), (241), (243), (244),
% 168.40/25.26  | | | | | | | | | | |            (245), (246), (247), (248), (266), (268), (269),
% 168.40/25.26  | | | | | | | | | | |            (270), (271), (272), (273), (274), (275), (276),
% 168.40/25.26  | | | | | | | | | | |            (277), (279), (281), (282), (284), (285), (286),
% 168.40/25.26  | | | | | | | | | | |            (289), (290), (291), (292), (293), (294), (295),
% 168.40/25.26  | | | | | | | | | | |            (296), (331), (332), (333), (334), (335), (347),
% 168.40/25.26  | | | | | | | | | | |            (348), (351), (356), (368), (371), (374), (377),
% 168.40/25.26  | | | | | | | | | | |            (386), (389), (390), (395), (396), (407), (411),
% 168.40/25.26  | | | | | | | | | | |            (413), (425), (429), (431), (435), (439), (441),
% 168.40/25.26  | | | | | | | | | | |            (446), (448), (451), (455), (456), (460), (462),
% 168.40/25.26  | | | | | | | | | | |            (463), (465), (466), (468), (530), (531), (532),
% 168.40/25.26  | | | | | | | | | | |            (533), (534), (535), (536), (537), (538), (539),
% 168.40/25.26  | | | | | | | | | | |            (540), (541), (542), (544), (546), (548), (550),
% 168.40/25.26  | | | | | | | | | | |            (552), (554), (555), (556), (557), (558), (560),
% 168.40/25.26  | | | | | | | | | | |            (562), (564), (566), (567), (568), (569), (570),
% 168.40/25.26  | | | | | | | | | | |            (572), (574), (576), (620), (624), (628), (692),
% 168.40/25.26  | | | | | | | | | | |            (769), (5110), (5111), (5112), (5114), (5390),
% 168.40/25.26  | | | | | | | | | | |            (5477), (5478), (5479), (5480), (5481), (5482),
% 168.40/25.26  | | | | | | | | | | |            (5483), (5484), (5485), (5486), (5487), (5488),
% 168.40/25.26  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.40/25.26  | | | | | | | | | | |            #84.
% 168.40/25.26  | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | End of split
% 168.40/25.26  | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | Case 2:
% 168.40/25.26  | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | |   (5489)  all_42_2 = e0
% 168.40/25.26  | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (42), (61),
% 168.40/25.26  | | | | | | | | | |            (62), (63), (145), (154), (156), (157), (161),
% 168.40/25.26  | | | | | | | | | |            (162), (164), (165), (167), (169), (170), (172),
% 168.40/25.26  | | | | | | | | | |            (177), (178), (179), (180), (183), (184), (185),
% 168.40/25.26  | | | | | | | | | |            (187), (188), (189), (190), (192), (193), (201),
% 168.40/25.26  | | | | | | | | | |            (202), (203), (204), (208), (212), (233), (234),
% 168.40/25.26  | | | | | | | | | |            (235), (236), (237), (239), (241), (242), (243),
% 168.40/25.26  | | | | | | | | | |            (244), (245), (246), (247), (266), (267), (270),
% 168.40/25.26  | | | | | | | | | |            (271), (272), (273), (274), (275), (276), (277),
% 168.40/25.26  | | | | | | | | | |            (278), (279), (280), (281), (282), (284), (286),
% 168.40/25.26  | | | | | | | | | |            (287), (291), (292), (293), (294), (295), (330),
% 168.40/25.26  | | | | | | | | | |            (331), (332), (333), (334), (335), (341), (347),
% 168.40/25.26  | | | | | | | | | |            (348), (351), (356), (368), (371), (374), (377),
% 168.40/25.26  | | | | | | | | | |            (386), (389), (390), (395), (396), (407), (411),
% 168.40/25.26  | | | | | | | | | |            (413), (425), (429), (431), (435), (439), (441),
% 168.40/25.26  | | | | | | | | | |            (446), (448), (451), (453), (456), (460), (462),
% 168.40/25.26  | | | | | | | | | |            (463), (465), (466), (468), (478), (494), (531),
% 168.40/25.26  | | | | | | | | | |            (533), (534), (535), (536), (537), (538), (539),
% 168.40/25.26  | | | | | | | | | |            (540), (541), (542), (544), (546), (548), (550),
% 168.40/25.26  | | | | | | | | | |            (552), (554), (555), (556), (557), (558), (560),
% 168.40/25.26  | | | | | | | | | |            (562), (564), (566), (567), (568), (569), (570),
% 168.40/25.26  | | | | | | | | | |            (572), (574), (575), (576), (577), (578), (619),
% 168.40/25.26  | | | | | | | | | |            (624), (625), (626), (628), (630), (631), (632),
% 168.40/25.26  | | | | | | | | | |            (633), (634), (5107), (5109), (5110), (5112),
% 168.40/25.26  | | | | | | | | | |            (5115), (5489), (function-axioms) are inconsistent
% 168.40/25.26  | | | | | | | | | |            by sub-proof #78.
% 168.40/25.26  | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | End of split
% 168.40/25.26  | | | | | | | | | 
% 168.40/25.26  | | | | | | | | End of split
% 168.40/25.26  | | | | | | | | 
% 168.40/25.26  | | | | | | | End of split
% 168.40/25.26  | | | | | | | 
% 168.40/25.26  | | | | | | Case 2:
% 168.40/25.26  | | | | | | | 
% 168.40/25.26  | | | | | | |   (5490)  all_18_1 = e1
% 168.40/25.26  | | | | | | | 
% 168.40/25.26  | | | | | | | COMBINE_EQS: (650), (5490) imply:
% 168.40/25.26  | | | | | | |   (5491)  all_14_1 = e1
% 168.40/25.26  | | | | | | | 
% 168.40/25.26  | | | | | | | SIMP: (5491) implies:
% 168.40/25.26  | | | | | | |   (5492)  all_14_1 = e1
% 168.40/25.26  | | | | | | | 
% 168.40/25.26  | | | | | | | COMBINE_EQS: (686), (5492) imply:
% 168.40/25.26  | | | | | | |   (5493)  all_28_1 = e1
% 168.40/25.26  | | | | | | | 
% 168.40/25.26  | | | | | | | REDUCE: (63), (5492) imply:
% 168.40/25.26  | | | | | | |   (5494)  op(e1, all_14_2) = all_14_0
% 168.40/25.26  | | | | | | | 
% 168.40/25.26  | | | | | | | REDUCE: (62), (5492) imply:
% 168.40/25.26  | | | | | | |   (5495)  op(all_14_2, e0) = e1
% 168.40/25.26  | | | | | | | 
% 168.40/25.26  | | | | | | | BETA: splitting (79) gives:
% 168.40/25.26  | | | | | | | 
% 168.40/25.26  | | | | | | | Case 1:
% 168.40/25.26  | | | | | | | | 
% 168.40/25.26  | | | | | | | |   (5496)   ~ (all_20_1 = e0)
% 168.40/25.26  | | | | | | | | 
% 168.40/25.26  | | | | | | | | REDUCE: (682), (5496) imply:
% 168.40/25.26  | | | | | | | |   (5497)   ~ (all_10_1 = e0)
% 168.40/25.26  | | | | | | | | 
% 168.40/25.26  | | | | | | | | BETA: splitting (99) gives:
% 168.40/25.26  | | | | | | | | 
% 168.40/25.26  | | | | | | | | Case 1:
% 168.40/25.26  | | | | | | | | | 
% 168.40/25.26  | | | | | | | | |   (5498)   ~ (all_28_1 = e1)
% 168.40/25.26  | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | REDUCE: (5493), (5498) imply:
% 168.40/25.26  | | | | | | | | |   (5499)  $false
% 168.40/25.26  | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | CLOSE: (5499) is inconsistent.
% 168.40/25.26  | | | | | | | | | 
% 168.40/25.26  | | | | | | | | Case 2:
% 168.40/25.26  | | | | | | | | | 
% 168.40/25.26  | | | | | | | | |   (5500)   ~ (all_28_0 = e2) |  ~ (all_28_2 = e3)
% 168.40/25.26  | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | BETA: splitting (136) gives:
% 168.40/25.26  | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | Case 1:
% 168.40/25.26  | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | |   (5501)   ~ (all_44_1 = e0)
% 168.40/25.26  | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | REDUCE: (5108), (5501) imply:
% 168.40/25.26  | | | | | | | | | |   (5502)  $false
% 168.40/25.26  | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | CLOSE: (5502) is inconsistent.
% 168.40/25.26  | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | Case 2:
% 168.40/25.26  | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | |   (5503)   ~ (all_44_0 = e1) |  ~ (all_44_2 = e3)
% 168.40/25.26  | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | BETA: splitting (131) gives:
% 168.40/25.26  | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | Case 1:
% 168.40/25.26  | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | |   (5504)   ~ (all_42_2 = e0)
% 168.40/25.26  | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | REDUCE: (494), (5504) imply:
% 168.40/25.26  | | | | | | | | | | |   (5505)   ~ (all_6_2 = e0)
% 168.40/25.26  | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | BETA: splitting (266) gives:
% 168.40/25.26  | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | Case 1:
% 168.40/25.26  | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | |   (5506)  all_56_15 = e0
% 168.40/25.26  | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | REF_CLOSE: (4), (61), (533), (634), (5495), (5506),
% 168.40/25.26  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.40/25.26  | | | | | | | | | | | |            #437.
% 168.40/25.26  | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | Case 2:
% 168.40/25.26  | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | |   (5507)   ~ (all_56_15 = e0)
% 168.40/25.26  | | | | | | | | | | | |   (5508)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 168.40/25.26  | | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 168.40/25.26  | | | | | | | | | | | |             e0)
% 168.40/25.26  | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | ALPHA: (5508) implies:
% 168.40/25.26  | | | | | | | | | | | |   (5509)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 168.40/25.26  | | | | | | | | | | | |   (5510)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 168.40/25.26  | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | REDUCE: (533), (5507) imply:
% 168.40/25.26  | | | | | | | | | | | |   (5511)   ~ (all_14_2 = e0)
% 168.40/25.26  | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | BETA: splitting (238) gives:
% 168.40/25.26  | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | Case 1:
% 168.40/25.26  | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | |   (5512)  all_54_10 = e0
% 168.40/25.26  | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | REF_CLOSE: (530), (5112), (5512) are inconsistent by
% 168.40/25.26  | | | | | | | | | | | | |            sub-proof #909.
% 168.40/25.26  | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | Case 2:
% 168.40/25.26  | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | |   (5513)   ~ (all_54_10 = e0)
% 168.40/25.26  | | | | | | | | | | | | |   (5514)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 168.40/25.26  | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | BETA: splitting (248) gives:
% 168.40/25.26  | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | Case 1:
% 168.40/25.26  | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | |   (5515)  all_54_0 = e0
% 168.40/25.26  | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | REF_CLOSE: (532), (5505), (5515) are inconsistent by
% 168.40/25.26  | | | | | | | | | | | | | |            sub-proof #984.
% 168.40/25.26  | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | Case 2:
% 168.40/25.26  | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | |   (5516)   ~ (all_54_0 = e0)
% 168.40/25.26  | | | | | | | | | | | | | |   (5517)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 168.40/25.26  | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 168.40/25.26  | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | Case 1:
% 168.40/25.26  | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | |   (5518)  all_54_15 = e0
% 168.40/25.26  | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | REF_CLOSE: (341), (5511), (5518) are inconsistent by
% 168.40/25.26  | | | | | | | | | | | | | | |            sub-proof #910.
% 168.40/25.26  | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | Case 2:
% 168.40/25.26  | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | |   (5519)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 168.40/25.26  | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 168.40/25.26  | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | Case 1:
% 168.40/25.26  | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | |   (5520)  all_54_13 = e0
% 168.40/25.26  | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (5520) imply:
% 168.40/25.26  | | | | | | | | | | | | | | | |   (5521)  all_52_7 = e0
% 168.40/25.26  | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | SIMP: (5521) implies:
% 168.40/25.26  | | | | | | | | | | | | | | | |   (5522)  all_52_7 = e0
% 168.40/25.26  | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (5522) imply:
% 168.40/25.26  | | | | | | | | | | | | | | | |   (5523)  all_56_13 = e0
% 168.40/25.26  | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (5522) imply:
% 168.40/25.26  | | | | | | | | | | | | | | | |   (5524)  all_58_23 = e0
% 168.40/25.26  | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | REDUCE: (184), (5522) imply:
% 168.40/25.26  | | | | | | | | | | | | | | | |   (5525)   ~ (all_52_3 = e0)
% 168.40/25.26  | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | REDUCE: (179), (5522) imply:
% 168.40/25.26  | | | | | | | | | | | | | | | |   (5526)   ~ (all_52_4 = e0)
% 168.40/25.26  | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | REDUCE: (172), (5522) imply:
% 168.40/25.26  | | | | | | | | | | | | | | | |   (5527)   ~ (all_52_6 = e0)
% 168.40/25.26  | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | REDUCE: (169), (5522) imply:
% 168.40/25.26  | | | | | | | | | | | | | | | |   (5528)   ~ (all_52_11 = e0)
% 168.40/25.26  | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | SIMP: (5528) implies:
% 168.40/25.26  | | | | | | | | | | | | | | | |   (5529)   ~ (all_52_11 = e0)
% 168.40/25.26  | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | REDUCE: (562), (5522) imply:
% 168.40/25.26  | | | | | | | | | | | | | | | |   (5530)   ~ (all_4_2 = e0)
% 168.40/25.26  | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | SIMP: (5530) implies:
% 168.40/25.26  | | | | | | | | | | | | | | | |   (5531)   ~ (all_4_2 = e0)
% 168.40/25.26  | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | REDUCE: (632), (5522) imply:
% 168.40/25.26  | | | | | | | | | | | | | | | |   (5532)  op(e0, e0) = all_58_13
% 168.40/25.26  | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 168.40/25.26  | | | | | | | | | | | | | | | |              all_58_13, e0, e0, simplifying with (61), (5532)
% 168.40/25.26  | | | | | | | | | | | | | | | |              gives:
% 168.40/25.26  | | | | | | | | | | | | | | | |   (5533)  all_58_13 = all_14_2
% 168.40/25.26  | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 168.40/25.26  | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.26  | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | |   (5534)  all_56_6 = e0
% 168.40/25.26  | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (5534) imply:
% 168.40/25.26  | | | | | | | | | | | | | | | | |   (5535)  all_52_2 = e0
% 168.40/25.26  | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (5535) imply:
% 168.40/25.26  | | | | | | | | | | | | | | | | |   (5536)  all_58_18 = e0
% 168.40/25.26  | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | | REDUCE: (188), (5535) imply:
% 168.40/25.26  | | | | | | | | | | | | | | | | |   (5537)   ~ (all_52_3 = e0)
% 168.40/25.26  | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | | REDUCE: (187), (5535) imply:
% 168.40/25.26  | | | | | | | | | | | | | | | | |   (5538)   ~ (all_52_6 = e0)
% 168.40/25.26  | | | | | | | | | | | | | | | | | 
% 168.40/25.26  | | | | | | | | | | | | | | | | | REDUCE: (185), (5535) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | |   (5539)   ~ (all_52_14 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | SIMP: (5539) implies:
% 168.40/25.27  | | | | | | | | | | | | | | | | |   (5540)   ~ (all_52_14 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | REDUCE: (556), (5535) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | |   (5541)   ~ (all_10_2 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | REDUCE: (627), (5535) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | |   (5542)  op(e1, e0) = all_58_8
% 168.40/25.27  | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 168.40/25.27  | | | | | | | | | | | | | | | | |              all_58_8, e0, e1, simplifying with (204), (5542)
% 168.40/25.27  | | | | | | | | | | | | | | | | |              gives:
% 168.40/25.27  | | | | | | | | | | | | | | | | |   (5543)  all_58_8 = all_52_14
% 168.40/25.27  | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 168.40/25.27  | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | |   (5544)  all_56_4 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (51), (52), (154), (157),
% 168.40/25.27  | | | | | | | | | | | | | | | | | |            (161), (164), (165), (170), (177), (178), (180),
% 168.40/25.27  | | | | | | | | | | | | | | | | | |            (189), (190), (192), (203), (208), (213), (214),
% 168.40/25.27  | | | | | | | | | | | | | | | | | |            (236), (239), (247), (248), (268), (269), (275),
% 168.40/25.27  | | | | | | | | | | | | | | | | | |            (287), (291), (293), (295), (330), (331), (332),
% 168.40/25.27  | | | | | | | | | | | | | | | | | |            (335), (347), (351), (356), (374), (377), (389),
% 168.40/25.27  | | | | | | | | | | | | | | | | | |            (390), (395), (396), (407), (411), (425), (429),
% 168.40/25.27  | | | | | | | | | | | | | | | | | |            (439), (441), (446), (456), (465), (530), (532),
% 168.40/25.27  | | | | | | | | | | | | | | | | | |            (536), (537), (538), (539), (542), (544), (548),
% 168.40/25.27  | | | | | | | | | | | | | | | | | |            (550), (552), (554), (567), (569), (570), (574),
% 168.40/25.27  | | | | | | | | | | | | | | | | | |            (577), (620), (626), (629), (631), (5497), (5510),
% 168.40/25.27  | | | | | | | | | | | | | | | | | |            (5514), (5525), (5527), (5534), (5536), (5540),
% 168.40/25.27  | | | | | | | | | | | | | | | | | |            (5544), (function-axioms) are inconsistent by
% 168.40/25.27  | | | | | | | | | | | | | | | | | |            sub-proof #153.
% 168.40/25.27  | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | |   (5545)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (154), (156), (157),
% 168.40/25.27  | | | | | | | | | | | | | | | | | |            (161), (162), (164), (167), (170), (177), (178),
% 168.40/25.27  | | | | | | | | | | | | | | | | | |            (180), (189), (190), (192), (204), (236), (237),
% 168.40/25.27  | | | | | | | | | | | | | | | | | |            (239), (241), (243), (246), (247), (270), (271),
% 168.40/25.27  | | | | | | | | | | | | | | | | | |            (272), (276), (286), (291), (293), (294), (331),
% 168.40/25.27  | | | | | | | | | | | | | | | | | |            (332), (334), (335), (341), (347), (356), (368),
% 168.40/25.27  | | | | | | | | | | | | | | | | | |            (374), (377), (386), (389), (390), (395), (396),
% 168.40/25.27  | | | | | | | | | | | | | | | | | |            (407), (425), (429), (431), (435), (439), (441),
% 168.40/25.27  | | | | | | | | | | | | | | | | | |            (446), (451), (456), (462), (463), (465), (531),
% 168.40/25.27  | | | | | | | | | | | | | | | | | |            (532), (533), (534), (535), (536), (537), (538),
% 168.40/25.27  | | | | | | | | | | | | | | | | | |            (539), (542), (544), (548), (550), (552), (554),
% 168.40/25.27  | | | | | | | | | | | | | | | | | |            (558), (560), (564), (569), (574), (576), (577),
% 168.40/25.27  | | | | | | | | | | | | | | | | | |            (578), (5112), (5495), (5510), (5517), (5519),
% 168.40/25.27  | | | | | | | | | | | | | | | | | |            (5523), (5524), (5525), (5527), (5529), (5534),
% 168.40/25.27  | | | | | | | | | | | | | | | | | |            (5536), (5540), (5545), (function-axioms) are
% 168.40/25.27  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #62.
% 168.40/25.27  | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | End of split
% 168.40/25.27  | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.27  | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | |   (5546)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (154), (156),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (157), (161), (162), (164), (165), (167), (169),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (170), (172), (177), (180), (183), (184), (185),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (187), (188), (189), (190), (192), (193), (203),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (204), (207), (208), (212), (234), (236), (239),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (241), (244), (245), (247), (248), (270), (276),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (278), (279), (281), (282), (284), (286), (287),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (289), (290), (291), (293), (295), (330), (331),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (332), (334), (335), (341), (347), (348), (351),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (356), (368), (371), (374), (377), (386), (389),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (390), (395), (396), (407), (411), (413), (425),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (429), (431), (435), (439), (441), (446), (448),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (456), (460), (462), (465), (468), (523), (532),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (541), (542), (544), (546), (548), (550), (552),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (554), (556), (557), (558), (564), (567), (568),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (572), (576), (577), (578), (619), (625), (628),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (630), (766), (5112), (5494), (5500), (5509),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (5519), (5524), (5525), (5526), (5527), (5531),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (5533), (5546), (function-axioms) are inconsistent
% 168.40/25.27  | | | | | | | | | | | | | | | | |            by sub-proof #147.
% 168.40/25.27  | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | End of split
% 168.40/25.27  | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | Case 2:
% 168.40/25.27  | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | |   (5547)   ~ (all_54_13 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | REDUCE: (466), (5547) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | |   (5548)   ~ (all_52_7 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 168.40/25.27  | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.27  | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | |   (5549)  all_56_6 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (5549) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | |   (5550)  all_52_2 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (5550) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | |   (5551)  all_58_18 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | REDUCE: (193), (5550) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | |   (5552)   ~ (all_52_1 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | REDUCE: (188), (5550) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | |   (5553)   ~ (all_52_3 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | SIMP: (5553) implies:
% 168.40/25.27  | | | | | | | | | | | | | | | | |   (5554)   ~ (all_52_3 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | REDUCE: (185), (5550) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | |   (5555)   ~ (all_52_14 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | SIMP: (5555) implies:
% 168.40/25.27  | | | | | | | | | | | | | | | | |   (5556)   ~ (all_52_14 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | REDUCE: (546), (5550) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | |   (5557)   ~ (all_6_2 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (154), (156),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (157), (162), (165), (170), (172), (177), (178),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (179), (180), (183), (184), (190), (202), (242),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (248), (270), (281), (282), (285), (287), (288),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (290), (291), (293), (294), (295), (331), (333),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (334), (335), (347), (348), (351), (356), (368),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (374), (377), (386), (389), (390), (396), (407),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (411), (425), (429), (431), (435), (439), (441),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (453), (532), (533), (535), (536), (537), (538),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (539), (540), (541), (542), (544), (548), (550),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (554), (555), (558), (560), (562), (564), (567),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (575), (578), (624), (5110), (5505), (5509),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (5510), (5548), (5549), (5551), (5552), (5554),
% 168.40/25.27  | | | | | | | | | | | | | | | | |            (5556), (function-axioms) are inconsistent by
% 168.40/25.27  | | | | | | | | | | | | | | | | |            sub-proof #61.
% 168.40/25.27  | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.27  | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | |   (5558)   ~ (all_56_6 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | |   (5559)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | REDUCE: (413), (5558) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | |   (5560)   ~ (all_52_2 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 168.40/25.27  | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | |   (5561)  all_56_0 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (5561) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | |   (5562)  all_6_2 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | REDUCE: (5505), (5562) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | |   (5563)  $false
% 168.40/25.27  | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | CLOSE: (5563) is inconsistent.
% 168.40/25.27  | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | |   (5564)   ~ (all_56_0 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | |   (5565)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | |   (5566)  all_54_8 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (5566) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | |   (5567)  all_52_2 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | REDUCE: (5560), (5567) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | |   (5568)  $false
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | CLOSE: (5568) is inconsistent.
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | |   (5569)   ~ (all_54_8 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | | |   (5570)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | |   (5571)  all_54_7 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (5571) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | |   (5572)  all_52_13 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (43), (154),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | |            (183), (184), (185), (187), (188), (189), (190),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | |            (193), (202), (206), (207), (209), (211), (234),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | |            (235), (239), (240), (243), (244), (245), (246),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | |            (247), (267), (268), (270), (272), (275), (276),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | |            (277), (278), (282), (284), (285), (286), (288),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | |            (289), (290), (291), (292), (293), (294), (295),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | |            (331), (332), (333), (334), (341), (347), (348),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | |            (351), (356), (368), (371), (374), (377), (386),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | |            (389), (390), (395), (396), (407), (411), (413),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | |            (425), (429), (431), (435), (439), (441), (446),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | |            (448), (451), (455), (456), (460), (466), (468),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | |            (531), (532), (533), (534), (535), (536), (537),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | |            (538), (539), (540), (541), (542), (544), (546),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | |            (548), (550), (552), (554), (555), (556), (558),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | |            (560), (562), (564), (566), (567), (568), (569),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | |            (570), (572), (574), (575), (576), (577), (578),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | |            (5110), (5111), (5112), (5114), (5505), (5510),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | |            (5517), (5519), (5559), (5560), (5565), (5572),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | |            #60.
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | |   (5573)   ~ (all_54_7 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | REDUCE: (462), (5573) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | |   (5574)   ~ (all_52_13 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | |   (5575)  all_54_5 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (531), (5575) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | |   (5576)  all_4_2 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | SIMP: (5576) implies:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | |   (5577)  all_4_2 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (202), (562), (5110), (5577), (function-axioms)
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #117.
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | |   (5578)   ~ (all_54_5 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | |   (5579)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | REDUCE: (531), (5578) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | |   (5580)   ~ (all_4_2 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | |   (5581)  all_56_1 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (5581) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | |   (5582)  all_52_4 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (5582) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | |   (5583)  all_58_20 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (5582) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | |   (5584)   ~ (all_52_7 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (178), (5582) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | |   (5585)   ~ (all_52_8 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | SIMP: (5585) implies:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | |   (5586)   ~ (all_52_8 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (5582) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | |   (5587)   ~ (all_52_12 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | SIMP: (5587) implies:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | |   (5588)   ~ (all_52_12 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (558), (5582) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | |   (5589)   ~ (all_4_2 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5510) gives:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | |   (5590)  all_56_9 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (5590) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | |   (5591)  all_52_12 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5588), (5591) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | |   (5592)  $false
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5592) is inconsistent.
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | |   (5593)  all_56_10 = e0 | all_56_11 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5593) gives:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | |   (5594)  all_56_10 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (5594) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | |   (5595)  all_52_13 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5574), (5595) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | |   (5596)  $false
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5596) is inconsistent.
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | |   (5597)  all_56_11 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (5597) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | |   (5598)  all_52_14 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5598) implies:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | |   (5599)  all_52_14 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (356), (5599) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | |   (5600)  all_58_30 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (5599) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | |   (5601)   ~ (all_14_2 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (5599) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | |   (5602)   ~ (all_10_2 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (630), (5599) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | |   (5603)  op(e1, e0) = all_58_11
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (204), (5599) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | |   (5604)  op(e1, e0) = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | |              all_58_11, e0, e1, simplifying with (5603), (5604)
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | |   (5605)  all_58_11 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (5606)  all_56_2 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (5606) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (5607)  all_52_1 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (5607) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (5608)  all_58_17 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (193), (5607) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (5609)   ~ (all_52_2 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (5607) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (5610)   ~ (all_52_3 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5610) implies:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (5611)   ~ (all_52_3 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (189), (5607) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (5612)   ~ (all_52_13 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (5607) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (5613)   ~ (all_6_2 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5614)  all_54_3 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (5614) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5615)  all_52_12 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5588), (5615) imply:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5616)  $false
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5616) is inconsistent.
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5617)   ~ (all_54_3 = e0)
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5618)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5619)  all_54_12 = e0
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (465), (5611), (5619) are inconsistent by
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #559.
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5620)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (36), (157), (164), (172),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (187), (188), (203), (213), (246), (248), (267),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (278), (284), (286), (291), (293), (294), (295),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (330), (331), (333), (335), (341), (348), (351),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (368), (371), (374), (386), (390), (407), (413),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (421), (425), (429), (431), (439), (451), (460),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (530), (532), (535), (536), (537), (538),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (540), (542), (546), (548), (552), (554), (557),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (566), (567), (568), (569), (570), (576), (577),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (621), (624), (631), (634), (713), (5109), (5110),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5112), (5503), (5505), (5511), (5514), (5519),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5548), (5560), (5574), (5580), (5581), (5583),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5586), (5588), (5600), (5605), (5606), (5608),
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5611), (5618), (5620), (function-axioms) are
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #108.
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | |   (5621)   ~ (all_56_2 = e0)
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | |   (5622)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (411), (5621) imply:
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | |   (5623)   ~ (all_52_1 = e0)
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (43), (154),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | |            (183), (184), (185), (187), (189), (190), (193),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (209), (211), (234), (235), (244),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | |            (245), (246), (247), (267), (268), (270), (272),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | |            (275), (276), (277), (278), (282), (284), (285),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | |            (286), (288), (290), (291), (292), (293), (294),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | |            (295), (331), (332), (333), (334), (341), (347),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | |            (348), (351), (356), (368), (371), (374), (377),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (389), (390), (395), (396), (407), (411),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | |            (413), (425), (429), (431), (435), (439), (441),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | |            (446), (448), (451), (455), (460), (466), (468),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | |            (531), (532), (533), (534), (535), (536), (537),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | |            (538), (539), (540), (541), (542), (544), (546),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | |            (548), (550), (552), (554), (555), (556), (558),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | |            (560), (562), (564), (566), (567), (568), (569),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | |            (570), (572), (574), (575), (576), (577), (578),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | |            (5111), (5112), (5114), (5510), (5517), (5519),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | |            (5559), (5560), (5565), (5570), (5579), (5580),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | |            (5622), (5623), (function-axioms) are inconsistent
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #715.
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | |   (5624)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (43), (154),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | |            (183), (184), (185), (187), (188), (189), (190),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | |            (192), (193), (206), (207), (208), (209), (211),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | |            (234), (235), (241), (242), (244), (245), (246),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | |            (247), (267), (268), (270), (271), (272), (275),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | |            (276), (277), (278), (280), (281), (282), (284),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | |            (285), (286), (288), (290), (291), (292), (293),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | |            (294), (295), (331), (332), (333), (334), (335),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | |            (341), (347), (348), (351), (356), (368), (371),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | |            (374), (377), (386), (389), (390), (395), (396),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | |            (407), (411), (413), (425), (429), (431), (435),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | |            (439), (441), (446), (448), (451), (453), (455),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | |            (460), (462), (466), (468), (531), (532), (533),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | |            (541), (542), (544), (546), (548), (550), (552),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | |            (554), (555), (556), (558), (560), (562), (564),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | |            (566), (567), (568), (569), (570), (572), (574),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | |            (575), (576), (577), (578), (625), (5111), (5114),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | |            (5495), (5510), (5517), (5519), (5548), (5559),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | |            (5565), (5570), (5574), (5579), (5580), (5624),
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | |            #59.
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.28  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.28  | | | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | | End of split
% 168.40/25.28  | | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | End of split
% 168.40/25.28  | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | End of split
% 168.40/25.28  | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | End of split
% 168.40/25.28  | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | End of split
% 168.40/25.28  | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | End of split
% 168.40/25.28  | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | End of split
% 168.40/25.28  | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | Case 2:
% 168.40/25.28  | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | |   (5625)  all_42_2 = e0
% 168.40/25.28  | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | COMBINE_EQS: (494), (5625) imply:
% 168.40/25.28  | | | | | | | | | | |   (5626)  all_6_2 = e0
% 168.40/25.28  | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | SIMP: (5626) implies:
% 168.40/25.28  | | | | | | | | | | |   (5627)  all_6_2 = e0
% 168.40/25.28  | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (61), (154),
% 168.40/25.28  | | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 168.40/25.28  | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 168.40/25.28  | | | | | | | | | | |            (183), (184), (185), (187), (188), (189), (190),
% 168.40/25.28  | | | | | | | | | | |            (192), (193), (202), (203), (204), (208), (212),
% 168.40/25.28  | | | | | | | | | | |            (233), (234), (237), (239), (241), (242), (243),
% 168.40/25.28  | | | | | | | | | | |            (244), (245), (246), (247), (266), (270), (273),
% 168.40/25.28  | | | | | | | | | | |            (274), (275), (276), (277), (278), (279), (280),
% 168.40/25.28  | | | | | | | | | | |            (281), (282), (284), (286), (287), (291), (293),
% 168.40/25.28  | | | | | | | | | | |            (294), (295), (330), (331), (332), (333), (334),
% 168.40/25.28  | | | | | | | | | | |            (335), (341), (347), (348), (351), (356), (368),
% 168.40/25.28  | | | | | | | | | | |            (371), (374), (377), (386), (389), (390), (395),
% 168.40/25.28  | | | | | | | | | | |            (396), (407), (411), (413), (425), (429), (431),
% 168.40/25.28  | | | | | | | | | | |            (435), (439), (441), (446), (448), (451), (453),
% 168.40/25.28  | | | | | | | | | | |            (456), (460), (462), (463), (468), (531), (533),
% 168.40/25.28  | | | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 168.40/25.28  | | | | | | | | | | |            (541), (542), (544), (546), (548), (550), (552),
% 168.40/25.28  | | | | | | | | | | |            (554), (555), (556), (558), (560), (562), (564),
% 168.40/25.28  | | | | | | | | | | |            (566), (567), (569), (570), (572), (574), (576),
% 168.40/25.28  | | | | | | | | | | |            (577), (578), (619), (625), (626), (628), (630),
% 168.40/25.28  | | | | | | | | | | |            (632), (633), (634), (5110), (5112), (5495),
% 168.40/25.28  | | | | | | | | | | |            (5627), (function-axioms) are inconsistent by
% 168.40/25.28  | | | | | | | | | | |            sub-proof #57.
% 168.40/25.28  | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | End of split
% 168.40/25.28  | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | End of split
% 168.40/25.28  | | | | | | | | | 
% 168.40/25.28  | | | | | | | | End of split
% 168.40/25.28  | | | | | | | | 
% 168.40/25.28  | | | | | | | Case 2:
% 168.40/25.28  | | | | | | | | 
% 168.40/25.28  | | | | | | | |   (5628)  all_20_1 = e0
% 168.40/25.28  | | | | | | | | 
% 168.40/25.28  | | | | | | | | COMBINE_EQS: (682), (5628) imply:
% 168.40/25.28  | | | | | | | |   (5629)  all_10_1 = e0
% 168.40/25.28  | | | | | | | | 
% 168.40/25.28  | | | | | | | | SIMP: (5629) implies:
% 168.40/25.28  | | | | | | | |   (5630)  all_10_1 = e0
% 168.40/25.28  | | | | | | | | 
% 168.40/25.28  | | | | | | | | COMBINE_EQS: (646), (5630) imply:
% 168.40/25.28  | | | | | | | |   (5631)  all_34_1 = e0
% 168.40/25.28  | | | | | | | | 
% 168.40/25.28  | | | | | | | | REDUCE: (53), (5630) imply:
% 168.40/25.28  | | | | | | | |   (5632)  op(e0, all_10_2) = all_10_0
% 168.40/25.28  | | | | | | | | 
% 168.40/25.28  | | | | | | | | REDUCE: (52), (5630) imply:
% 168.40/25.28  | | | | | | | |   (5633)  op(all_10_2, e1) = e0
% 168.40/25.28  | | | | | | | | 
% 168.40/25.28  | | | | | | | | BETA: splitting (112) gives:
% 168.40/25.28  | | | | | | | | 
% 168.40/25.28  | | | | | | | | Case 1:
% 168.40/25.28  | | | | | | | | | 
% 168.40/25.28  | | | | | | | | |   (5634)   ~ (all_34_1 = e0)
% 168.40/25.28  | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | REDUCE: (5631), (5634) imply:
% 168.40/25.28  | | | | | | | | |   (5635)  $false
% 168.40/25.28  | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | CLOSE: (5635) is inconsistent.
% 168.40/25.28  | | | | | | | | | 
% 168.40/25.28  | | | | | | | | Case 2:
% 168.40/25.28  | | | | | | | | | 
% 168.40/25.28  | | | | | | | | |   (5636)   ~ (all_34_0 = e2) |  ~ (all_34_2 = e3)
% 168.40/25.28  | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | BETA: splitting (131) gives:
% 168.40/25.28  | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | Case 1:
% 168.40/25.28  | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | |   (5637)   ~ (all_42_2 = e0)
% 168.40/25.28  | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | REDUCE: (494), (5637) imply:
% 168.40/25.28  | | | | | | | | | |   (5638)   ~ (all_6_2 = e0)
% 168.40/25.28  | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | BETA: splitting (266) gives:
% 168.40/25.28  | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | Case 1:
% 168.40/25.28  | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | |   (5639)  all_56_15 = e0
% 168.40/25.28  | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | REF_CLOSE: (4), (61), (533), (634), (5495), (5639),
% 168.40/25.28  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.40/25.28  | | | | | | | | | | |            #437.
% 168.40/25.28  | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | Case 2:
% 168.40/25.28  | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | |   (5640)   ~ (all_56_15 = e0)
% 168.40/25.28  | | | | | | | | | | |   (5641)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 168.40/25.28  | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 168.40/25.28  | | | | | | | | | | |             e0)
% 168.40/25.28  | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | ALPHA: (5641) implies:
% 168.40/25.28  | | | | | | | | | | |   (5642)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 168.40/25.28  | | | | | | | | | | |   (5643)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 168.40/25.28  | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | REDUCE: (533), (5640) imply:
% 168.40/25.28  | | | | | | | | | | |   (5644)   ~ (all_14_2 = e0)
% 168.40/25.28  | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | BETA: splitting (238) gives:
% 168.40/25.28  | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | Case 1:
% 168.40/25.28  | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | |   (5645)  all_54_10 = e0
% 168.40/25.28  | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | COMBINE_EQS: (530), (5645) imply:
% 168.40/25.28  | | | | | | | | | | | |   (5646)  all_10_2 = e0
% 168.40/25.28  | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | REDUCE: (5112), (5646) imply:
% 168.40/25.28  | | | | | | | | | | | |   (5647)  $false
% 168.40/25.28  | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | CLOSE: (5647) is inconsistent.
% 168.40/25.28  | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | Case 2:
% 168.40/25.28  | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | |   (5648)   ~ (all_54_10 = e0)
% 168.40/25.28  | | | | | | | | | | | |   (5649)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 168.40/25.28  | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | BETA: splitting (248) gives:
% 168.40/25.28  | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | Case 1:
% 168.40/25.28  | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | |   (5650)  all_54_0 = e0
% 168.40/25.28  | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | REF_CLOSE: (532), (5638), (5650) are inconsistent by
% 168.40/25.28  | | | | | | | | | | | | |            sub-proof #984.
% 168.40/25.28  | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | Case 2:
% 168.40/25.28  | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | |   (5651)   ~ (all_54_0 = e0)
% 168.40/25.28  | | | | | | | | | | | | |   (5652)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 168.40/25.28  | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | BETA: splitting (233) gives:
% 168.40/25.28  | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | Case 1:
% 168.40/25.28  | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | |   (5653)  all_54_15 = e0
% 168.40/25.28  | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | COMBINE_EQS: (341), (5653) imply:
% 168.40/25.28  | | | | | | | | | | | | | |   (5654)  all_14_2 = e0
% 168.40/25.28  | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | REDUCE: (5644), (5654) imply:
% 168.40/25.28  | | | | | | | | | | | | | |   (5655)  $false
% 168.40/25.28  | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | CLOSE: (5655) is inconsistent.
% 168.40/25.28  | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | Case 2:
% 168.40/25.28  | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | |   (5656)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 168.40/25.28  | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 168.40/25.28  | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | Case 1:
% 168.40/25.28  | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | |   (5657)  all_54_13 = e0
% 168.40/25.28  | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | COMBINE_EQS: (466), (5657) imply:
% 168.40/25.28  | | | | | | | | | | | | | | |   (5658)  all_52_7 = e0
% 168.40/25.28  | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | COMBINE_EQS: (348), (5658) imply:
% 168.40/25.28  | | | | | | | | | | | | | | |   (5659)  all_56_13 = e0
% 168.40/25.28  | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | COMBINE_EQS: (540), (5658) imply:
% 168.40/25.28  | | | | | | | | | | | | | | |   (5660)  all_58_23 = e0
% 168.40/25.28  | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | REDUCE: (179), (5658) imply:
% 168.40/25.28  | | | | | | | | | | | | | | |   (5661)   ~ (all_52_4 = e0)
% 168.40/25.28  | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | REDUCE: (172), (5658) imply:
% 168.40/25.28  | | | | | | | | | | | | | | |   (5662)   ~ (all_52_6 = e0)
% 168.40/25.28  | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | REDUCE: (169), (5658) imply:
% 168.40/25.28  | | | | | | | | | | | | | | |   (5663)   ~ (all_52_11 = e0)
% 168.40/25.28  | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | SIMP: (5663) implies:
% 168.40/25.28  | | | | | | | | | | | | | | |   (5664)   ~ (all_52_11 = e0)
% 168.40/25.28  | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | REDUCE: (562), (5658) imply:
% 168.40/25.28  | | | | | | | | | | | | | | |   (5665)   ~ (all_4_2 = e0)
% 168.40/25.28  | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | SIMP: (5665) implies:
% 168.40/25.28  | | | | | | | | | | | | | | |   (5666)   ~ (all_4_2 = e0)
% 168.40/25.28  | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | REDUCE: (632), (5658) imply:
% 168.40/25.28  | | | | | | | | | | | | | | |   (5667)  op(e0, e0) = all_58_13
% 168.40/25.28  | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 168.40/25.28  | | | | | | | | | | | | | | |              all_58_13, e0, e0, simplifying with (61), (5667)
% 168.40/25.28  | | | | | | | | | | | | | | |              gives:
% 168.40/25.28  | | | | | | | | | | | | | | |   (5668)  all_58_13 = all_14_2
% 168.40/25.28  | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 168.40/25.28  | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | Case 1:
% 168.40/25.28  | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | |   (5669)  all_56_6 = e0
% 168.40/25.28  | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (5669) imply:
% 168.40/25.28  | | | | | | | | | | | | | | | |   (5670)  all_52_2 = e0
% 168.40/25.28  | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (5670) imply:
% 168.40/25.28  | | | | | | | | | | | | | | | |   (5671)  all_58_18 = e0
% 168.40/25.28  | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | REDUCE: (188), (5670) imply:
% 168.40/25.28  | | | | | | | | | | | | | | | |   (5672)   ~ (all_52_3 = e0)
% 168.40/25.28  | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | SIMP: (5672) implies:
% 168.40/25.28  | | | | | | | | | | | | | | | |   (5673)   ~ (all_52_3 = e0)
% 168.40/25.28  | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | REDUCE: (187), (5670) imply:
% 168.40/25.28  | | | | | | | | | | | | | | | |   (5674)   ~ (all_52_6 = e0)
% 168.40/25.28  | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | REDUCE: (185), (5670) imply:
% 168.40/25.28  | | | | | | | | | | | | | | | |   (5675)   ~ (all_52_14 = e0)
% 168.40/25.28  | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | SIMP: (5675) implies:
% 168.40/25.28  | | | | | | | | | | | | | | | |   (5676)   ~ (all_52_14 = e0)
% 168.40/25.28  | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | REDUCE: (556), (5670) imply:
% 168.40/25.28  | | | | | | | | | | | | | | | |   (5677)   ~ (all_10_2 = e0)
% 168.40/25.28  | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | REDUCE: (627), (5670) imply:
% 168.40/25.28  | | | | | | | | | | | | | | | |   (5678)  op(e1, e0) = all_58_8
% 168.40/25.28  | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 168.40/25.28  | | | | | | | | | | | | | | | |              all_58_8, e0, e1, simplifying with (204), (5678)
% 168.40/25.28  | | | | | | | | | | | | | | | |              gives:
% 168.40/25.28  | | | | | | | | | | | | | | | |   (5679)  all_58_8 = all_52_14
% 168.40/25.28  | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 168.40/25.28  | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.28  | | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | |   (5680)  all_56_4 = e0
% 168.40/25.28  | | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (5680) imply:
% 168.40/25.28  | | | | | | | | | | | | | | | | |   (5681)  all_52_8 = e0
% 168.40/25.28  | | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (5681) imply:
% 168.40/25.28  | | | | | | | | | | | | | | | | |   (5682)  all_58_24 = e0
% 168.40/25.28  | | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | | REDUCE: (167), (5681) imply:
% 168.40/25.28  | | | | | | | | | | | | | | | | |   (5683)   ~ (all_52_9 = e0)
% 168.40/25.28  | | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | | SIMP: (5683) implies:
% 168.40/25.28  | | | | | | | | | | | | | | | | |   (5684)   ~ (all_52_9 = e0)
% 168.40/25.28  | | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | | REDUCE: (621), (5681) imply:
% 168.40/25.28  | | | | | | | | | | | | | | | | |   (5685)  op(e3, e0) = all_58_2
% 168.40/25.28  | | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (51), (61),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (154), (157), (161), (162), (164), (165), (167),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (169), (170), (172), (177), (179), (180), (183),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (184), (185), (187), (188), (189), (190), (192),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (193), (203), (204), (208), (212), (234), (236),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (239), (241), (244), (245), (247), (248), (267),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (269), (270), (273), (276), (277), (278), (279),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (281), (282), (284), (285), (286), (287), (289),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (291), (293), (295), (330), (331), (332), (334),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (335), (341), (347), (348), (351), (356), (368),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (371), (374), (377), (386), (389), (390), (395),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (396), (407), (411), (413), (425), (429), (431),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (435), (439), (441), (446), (448), (456), (460),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (462), (465), (468), (504), (530), (532), (533),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (541), (542), (544), (546), (548), (550), (552),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (554), (556), (557), (558), (562), (564), (567),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (569), (570), (572), (574), (575), (576), (577),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (578), (619), (625), (629), (630), (632), (634),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (767), (5112), (5632), (5633), (5636), (5642),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (5643), (5649), (5656), (5664), (5673), (5682),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (5684), (5685), (function-axioms) are inconsistent
% 168.40/25.28  | | | | | | | | | | | | | | | | |            by sub-proof #56.
% 168.40/25.28  | | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.28  | | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | |   (5686)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 168.40/25.28  | | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (154), (156), (157),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (161), (162), (164), (167), (170), (177), (178),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (180), (189), (190), (192), (204), (236), (237),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (239), (241), (243), (246), (247), (270), (271),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (272), (276), (286), (291), (293), (294), (331),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (332), (334), (335), (341), (347), (356), (368),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (374), (377), (386), (389), (390), (395), (396),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (407), (425), (429), (431), (435), (439), (441),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (446), (451), (456), (462), (463), (465), (531),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (532), (533), (534), (535), (536), (537), (538),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (539), (542), (544), (548), (550), (552), (554),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (558), (560), (564), (569), (574), (576), (577),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (578), (5112), (5495), (5643), (5652), (5656),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (5659), (5660), (5662), (5664), (5669), (5671),
% 168.40/25.28  | | | | | | | | | | | | | | | | |            (5673), (5676), (5686), (function-axioms) are
% 168.40/25.28  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #62.
% 168.40/25.28  | | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | | End of split
% 168.40/25.28  | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | Case 2:
% 168.40/25.28  | | | | | | | | | | | | | | | | 
% 168.40/25.28  | | | | | | | | | | | | | | | |   (5687)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 168.40/25.28  | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (51), (154),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (157), (161), (162), (164), (165), (167), (170),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (177), (180), (183), (184), (185), (187), (189),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (190), (192), (193), (203), (204), (208), (212),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (234), (239), (241), (244), (245), (247), (248),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (270), (276), (277), (278), (279), (281), (282),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (284), (285), (286), (287), (289), (291), (293),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (295), (330), (331), (332), (334), (335), (341),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (347), (348), (351), (356), (368), (371), (374),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (377), (386), (389), (390), (395), (396), (407),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (411), (413), (425), (429), (431), (435), (439),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (441), (446), (448), (456), (460), (462), (468),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (532), (534), (535), (536), (537), (538), (539),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (541), (542), (544), (546), (548), (550), (552),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (554), (556), (558), (564), (567), (569), (572),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (574), (576), (577), (578), (619), (625), (629),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (630), (5112), (5633), (5656), (5660), (5661),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (5662), (5664), (5666), (5668), (5687),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.40/25.29  | | | | | | | | | | | | | | | |            #135.
% 168.40/25.29  | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | End of split
% 168.40/25.29  | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | Case 2:
% 168.40/25.29  | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | |   (5688)   ~ (all_54_13 = e0)
% 168.40/25.29  | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | REDUCE: (466), (5688) imply:
% 168.40/25.29  | | | | | | | | | | | | | | |   (5689)   ~ (all_52_7 = e0)
% 168.40/25.29  | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 168.40/25.29  | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | Case 1:
% 168.40/25.29  | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | |   (5690)  all_56_6 = e0
% 168.40/25.29  | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (5690) imply:
% 168.40/25.29  | | | | | | | | | | | | | | | |   (5691)  all_52_2 = e0
% 168.40/25.29  | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (5691) imply:
% 168.40/25.29  | | | | | | | | | | | | | | | |   (5692)  all_58_18 = e0
% 168.40/25.29  | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | REDUCE: (193), (5691) imply:
% 168.40/25.29  | | | | | | | | | | | | | | | |   (5693)   ~ (all_52_1 = e0)
% 168.40/25.29  | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | REDUCE: (188), (5691) imply:
% 168.40/25.29  | | | | | | | | | | | | | | | |   (5694)   ~ (all_52_3 = e0)
% 168.40/25.29  | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | SIMP: (5694) implies:
% 168.40/25.29  | | | | | | | | | | | | | | | |   (5695)   ~ (all_52_3 = e0)
% 168.40/25.29  | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | REDUCE: (185), (5691) imply:
% 168.40/25.29  | | | | | | | | | | | | | | | |   (5696)   ~ (all_52_14 = e0)
% 168.40/25.29  | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | SIMP: (5696) implies:
% 168.40/25.29  | | | | | | | | | | | | | | | |   (5697)   ~ (all_52_14 = e0)
% 168.40/25.29  | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | REDUCE: (546), (5691) imply:
% 168.40/25.29  | | | | | | | | | | | | | | | |   (5698)   ~ (all_6_2 = e0)
% 168.40/25.29  | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (154), (156),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (157), (162), (165), (170), (172), (177), (178),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (179), (180), (183), (184), (190), (202), (242),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (248), (270), (281), (282), (285), (287), (288),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (290), (291), (293), (294), (295), (331), (333),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (334), (335), (347), (348), (351), (356), (368),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (374), (377), (386), (389), (390), (396), (407),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (411), (425), (429), (431), (435), (439), (441),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (453), (532), (533), (535), (536), (537), (538),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (539), (540), (541), (542), (544), (548), (550),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (554), (555), (558), (560), (562), (564), (567),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (575), (578), (624), (5110), (5638), (5642),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (5643), (5689), (5690), (5692), (5693), (5695),
% 168.40/25.29  | | | | | | | | | | | | | | | |            (5697), (function-axioms) are inconsistent by
% 168.40/25.29  | | | | | | | | | | | | | | | |            sub-proof #61.
% 168.40/25.29  | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | Case 2:
% 168.40/25.29  | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | |   (5699)   ~ (all_56_6 = e0)
% 168.40/25.29  | | | | | | | | | | | | | | | |   (5700)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 168.40/25.29  | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | REDUCE: (413), (5699) imply:
% 168.40/25.29  | | | | | | | | | | | | | | | |   (5701)   ~ (all_52_2 = e0)
% 168.40/25.29  | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 168.40/25.29  | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.29  | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | |   (5702)  all_56_0 = e0
% 168.40/25.29  | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (5702) imply:
% 168.40/25.29  | | | | | | | | | | | | | | | | |   (5703)  all_6_2 = e0
% 168.40/25.29  | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | REDUCE: (5638), (5703) imply:
% 168.40/25.29  | | | | | | | | | | | | | | | | |   (5704)  $false
% 168.40/25.29  | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | CLOSE: (5704) is inconsistent.
% 168.40/25.29  | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.29  | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | |   (5705)   ~ (all_56_0 = e0)
% 168.40/25.29  | | | | | | | | | | | | | | | | |   (5706)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 168.40/25.29  | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 168.40/25.29  | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | |   (5707)  all_54_8 = e0
% 168.40/25.29  | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (5701), (5707) are inconsistent by
% 168.40/25.29  | | | | | | | | | | | | | | | | | |            sub-proof #839.
% 168.40/25.29  | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | |   (5708)   ~ (all_54_8 = e0)
% 168.40/25.29  | | | | | | | | | | | | | | | | | |   (5709)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 168.40/25.29  | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | |   (5710)  all_54_7 = e0
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (5710) imply:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | |   (5711)  all_52_13 = e0
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | SIMP: (5711) implies:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | |   (5712)  all_52_13 = e0
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (43), (154),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | |            (183), (184), (185), (187), (188), (189), (190),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | |            (193), (202), (206), (207), (209), (211), (234),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | |            (235), (239), (240), (243), (244), (245), (246),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | |            (247), (267), (268), (270), (272), (275), (276),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | |            (277), (278), (282), (284), (285), (286), (288),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | |            (289), (290), (291), (292), (293), (294), (295),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | |            (331), (332), (333), (334), (341), (347), (348),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | |            (351), (356), (368), (371), (374), (377), (386),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | |            (389), (390), (395), (396), (407), (411), (413),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | |            (425), (429), (431), (435), (439), (441), (446),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | |            (448), (451), (455), (456), (460), (466), (468),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | |            (531), (532), (533), (534), (535), (536), (537),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | |            (538), (539), (540), (541), (542), (544), (546),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | |            (548), (550), (552), (554), (555), (556), (558),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | |            (560), (562), (564), (566), (567), (568), (569),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | |            (570), (572), (574), (575), (576), (577), (578),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | |            (5110), (5111), (5112), (5114), (5638), (5643),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | |            (5652), (5656), (5700), (5701), (5706), (5712),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.40/25.29  | | | | | | | | | | | | | | | | | | |            #60.
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | |   (5713)   ~ (all_54_7 = e0)
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | REDUCE: (462), (5713) imply:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | |   (5714)   ~ (all_52_13 = e0)
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | |   (5715)  all_54_5 = e0
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (531), (5715) imply:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | |   (5716)  all_4_2 = e0
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | SIMP: (5716) implies:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | |   (5717)  all_4_2 = e0
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (202), (562), (5110), (5717), (function-axioms)
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #117.
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | |   (5718)   ~ (all_54_5 = e0)
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | |   (5719)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | REDUCE: (531), (5718) imply:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | |   (5720)   ~ (all_4_2 = e0)
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |   (5721)  all_56_1 = e0
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (5721) imply:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |   (5722)  all_52_4 = e0
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (5722) imply:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |   (5723)  all_58_20 = e0
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (5722) imply:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |   (5724)   ~ (all_52_7 = e0)
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | REDUCE: (178), (5722) imply:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |   (5725)   ~ (all_52_8 = e0)
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | SIMP: (5725) implies:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |   (5726)   ~ (all_52_8 = e0)
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (5722) imply:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |   (5727)   ~ (all_52_12 = e0)
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | SIMP: (5727) implies:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |   (5728)   ~ (all_52_12 = e0)
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | REDUCE: (558), (5722) imply:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |   (5729)   ~ (all_4_2 = e0)
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5643) gives:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | |   (5730)  all_56_9 = e0
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (5730) imply:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | |   (5731)  all_52_12 = e0
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5728), (5731) imply:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | |   (5732)  $false
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5732) is inconsistent.
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | |   (5733)  all_56_10 = e0 | all_56_11 = e0
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |   (5734)  all_56_2 = e0
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (5734) imply:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |   (5735)  all_52_1 = e0
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (5735) imply:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |   (5736)  all_58_17 = e0
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (5735) imply:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |   (5737)   ~ (all_52_3 = e0)
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5737) implies:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |   (5738)   ~ (all_52_3 = e0)
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (189), (5735) imply:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |   (5739)   ~ (all_52_13 = e0)
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (5735) imply:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |   (5740)   ~ (all_6_2 = e0)
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (36), (156), (157), (164),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (185), (187), (188), (203), (204), (213), (236),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (240), (245), (246), (248), (267), (269), (276),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (278), (279), (291), (292), (293), (330), (331),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (333), (335), (351), (356), (368), (371), (374),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (386), (390), (407), (413), (425), (429), (439),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (441), (451), (455), (460), (465), (504), (532),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (534), (536), (537), (538), (540), (542), (546),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (548), (552), (554), (566), (567), (578), (621),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (622), (624), (630), (631), (5633), (5636),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (5638), (5689), (5714), (5720), (5721), (5723),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (5726), (5733), (5734), (5736), (5738),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            #55.
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |   (5741)   ~ (all_56_2 = e0)
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |   (5742)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (411), (5741) imply:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |   (5743)   ~ (all_52_1 = e0)
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (43), (154),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (183), (184), (185), (187), (189), (190), (193),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (209), (211), (234), (235), (244),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (245), (246), (247), (267), (268), (270), (272),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (275), (276), (277), (278), (282), (284), (285),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (286), (288), (290), (291), (292), (293), (294),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (295), (331), (332), (333), (334), (341), (347),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (348), (351), (356), (368), (371), (374), (377),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (386), (389), (390), (395), (396), (407), (411),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (413), (425), (429), (431), (435), (439), (441),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (446), (448), (451), (455), (460), (466), (468),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (531), (532), (533), (534), (535), (536), (537),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (538), (539), (540), (541), (542), (544), (546),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (548), (550), (552), (554), (555), (556), (558),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (560), (562), (564), (566), (567), (568), (569),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (570), (572), (574), (575), (576), (577), (578),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (5111), (5112), (5114), (5643), (5652), (5656),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (5700), (5701), (5706), (5709), (5719), (5720),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            (5742), (5743), (function-axioms) are inconsistent
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #715.
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |   (5744)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (43), (154),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |            (183), (184), (185), (187), (188), (189), (190),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |            (192), (193), (206), (207), (208), (209), (211),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |            (234), (235), (241), (242), (244), (245), (246),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |            (247), (267), (268), (270), (271), (272), (275),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |            (276), (277), (278), (280), (281), (282), (284),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |            (285), (286), (288), (290), (291), (292), (293),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |            (294), (295), (331), (332), (333), (334), (335),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |            (341), (347), (348), (351), (356), (368), (371),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |            (374), (377), (386), (389), (390), (395), (396),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |            (407), (411), (413), (425), (429), (431), (435),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |            (439), (441), (446), (448), (451), (453), (455),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |            (460), (462), (466), (468), (531), (532), (533),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |            (541), (542), (544), (546), (548), (550), (552),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |            (554), (555), (556), (558), (560), (562), (564),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |            (566), (567), (568), (569), (570), (572), (574),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |            (575), (576), (577), (578), (625), (5111), (5114),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |            (5495), (5643), (5652), (5656), (5689), (5700),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |            (5706), (5709), (5714), (5719), (5720), (5744),
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | |            #59.
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.29  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | | End of split
% 168.40/25.29  | | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | | End of split
% 168.40/25.29  | | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | | End of split
% 168.40/25.29  | | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | | End of split
% 168.40/25.29  | | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | | End of split
% 168.40/25.29  | | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | | End of split
% 168.40/25.29  | | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | | End of split
% 168.40/25.29  | | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | | End of split
% 168.40/25.29  | | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | End of split
% 168.40/25.29  | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | Case 2:
% 168.40/25.29  | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | |   (5745)  all_42_2 = e0
% 168.40/25.29  | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | COMBINE_EQS: (494), (5745) imply:
% 168.40/25.29  | | | | | | | | | |   (5746)  all_6_2 = e0
% 168.40/25.29  | | | | | | | | | | 
% 168.40/25.29  | | | | | | | | | | SIMP: (5746) implies:
% 168.40/25.29  | | | | | | | | | |   (5747)  all_6_2 = e0
% 168.40/25.29  | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (61), (154),
% 168.40/25.30  | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 168.40/25.30  | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 168.40/25.30  | | | | | | | | | |            (183), (184), (185), (187), (188), (189), (190),
% 168.40/25.30  | | | | | | | | | |            (192), (193), (202), (203), (204), (208), (212),
% 168.40/25.30  | | | | | | | | | |            (233), (234), (237), (239), (241), (242), (243),
% 168.40/25.30  | | | | | | | | | |            (244), (245), (246), (247), (266), (270), (273),
% 168.40/25.30  | | | | | | | | | |            (274), (275), (276), (277), (278), (279), (280),
% 168.40/25.30  | | | | | | | | | |            (281), (282), (284), (286), (287), (291), (293),
% 168.40/25.30  | | | | | | | | | |            (294), (295), (330), (331), (332), (333), (334),
% 168.40/25.30  | | | | | | | | | |            (335), (341), (347), (348), (351), (356), (368),
% 168.40/25.30  | | | | | | | | | |            (371), (374), (377), (386), (389), (390), (395),
% 168.40/25.30  | | | | | | | | | |            (396), (407), (411), (413), (425), (429), (431),
% 168.40/25.30  | | | | | | | | | |            (435), (439), (441), (446), (448), (451), (453),
% 168.40/25.30  | | | | | | | | | |            (456), (460), (462), (463), (468), (531), (533),
% 168.40/25.30  | | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 168.40/25.30  | | | | | | | | | |            (541), (542), (544), (546), (548), (550), (552),
% 168.40/25.30  | | | | | | | | | |            (554), (555), (556), (558), (560), (562), (564),
% 168.40/25.30  | | | | | | | | | |            (566), (567), (569), (570), (572), (574), (576),
% 168.40/25.30  | | | | | | | | | |            (577), (578), (619), (625), (626), (628), (630),
% 168.40/25.30  | | | | | | | | | |            (632), (633), (634), (5110), (5112), (5495),
% 168.40/25.30  | | | | | | | | | |            (5747), (function-axioms) are inconsistent by
% 168.40/25.30  | | | | | | | | | |            sub-proof #57.
% 168.40/25.30  | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | End of split
% 168.40/25.30  | | | | | | | | | 
% 168.40/25.30  | | | | | | | | End of split
% 168.40/25.30  | | | | | | | | 
% 168.40/25.30  | | | | | | | End of split
% 168.40/25.30  | | | | | | | 
% 168.40/25.30  | | | | | | End of split
% 168.40/25.30  | | | | | | 
% 168.40/25.30  | | | | | Case 2:
% 168.40/25.30  | | | | | | 
% 168.40/25.30  | | | | | |   (5748)  all_14_0 = e1
% 168.40/25.30  | | | | | |   (5749)   ~ (all_14_1 = e2) |  ~ (all_14_2 = e3)
% 168.40/25.30  | | | | | | 
% 168.40/25.30  | | | | | | REDUCE: (63), (5748) imply:
% 168.40/25.30  | | | | | |   (5750)  op(all_14_1, all_14_2) = e1
% 168.40/25.30  | | | | | | 
% 168.40/25.30  | | | | | | BETA: splitting (79) gives:
% 168.40/25.30  | | | | | | 
% 168.40/25.30  | | | | | | Case 1:
% 168.40/25.30  | | | | | | | 
% 168.40/25.30  | | | | | | |   (5751)   ~ (all_20_1 = e0)
% 168.40/25.30  | | | | | | | 
% 168.40/25.30  | | | | | | | REDUCE: (682), (5751) imply:
% 168.40/25.30  | | | | | | |   (5752)   ~ (all_10_1 = e0)
% 168.40/25.30  | | | | | | | 
% 168.40/25.30  | | | | | | | BETA: splitting (136) gives:
% 168.40/25.30  | | | | | | | 
% 168.40/25.30  | | | | | | | Case 1:
% 168.40/25.30  | | | | | | | | 
% 168.40/25.30  | | | | | | | |   (5753)   ~ (all_44_1 = e0)
% 168.40/25.30  | | | | | | | | 
% 168.40/25.30  | | | | | | | | REDUCE: (5108), (5753) imply:
% 168.40/25.30  | | | | | | | |   (5754)  $false
% 168.40/25.30  | | | | | | | | 
% 168.40/25.30  | | | | | | | | CLOSE: (5754) is inconsistent.
% 168.40/25.30  | | | | | | | | 
% 168.40/25.30  | | | | | | | Case 2:
% 168.40/25.30  | | | | | | | | 
% 168.40/25.30  | | | | | | | |   (5755)   ~ (all_44_0 = e1) |  ~ (all_44_2 = e3)
% 168.40/25.30  | | | | | | | | 
% 168.40/25.30  | | | | | | | | BETA: splitting (131) gives:
% 168.40/25.30  | | | | | | | | 
% 168.40/25.30  | | | | | | | | Case 1:
% 168.40/25.30  | | | | | | | | | 
% 168.40/25.30  | | | | | | | | |   (5756)   ~ (all_42_2 = e0)
% 168.40/25.30  | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | REDUCE: (494), (5756) imply:
% 168.40/25.30  | | | | | | | | |   (5757)   ~ (all_6_2 = e0)
% 168.40/25.30  | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | BETA: splitting (266) gives:
% 168.40/25.30  | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | Case 1:
% 168.40/25.30  | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | |   (5758)  all_56_15 = e0
% 168.40/25.30  | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | REF_CLOSE: (4), (61), (62), (533), (634), (5750), (5758),
% 168.40/25.30  | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.40/25.30  | | | | | | | | | |            #400.
% 168.40/25.30  | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | Case 2:
% 168.40/25.30  | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | |   (5759)   ~ (all_56_15 = e0)
% 168.40/25.30  | | | | | | | | | |   (5760)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 168.40/25.30  | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 168.40/25.30  | | | | | | | | | |             e0)
% 168.40/25.30  | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | ALPHA: (5760) implies:
% 168.40/25.30  | | | | | | | | | |   (5761)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 168.40/25.30  | | | | | | | | | |   (5762)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 168.40/25.30  | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | REDUCE: (533), (5759) imply:
% 168.40/25.30  | | | | | | | | | |   (5763)   ~ (all_14_2 = e0)
% 168.40/25.30  | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | BETA: splitting (238) gives:
% 168.40/25.30  | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | Case 1:
% 168.40/25.30  | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | |   (5764)  all_54_10 = e0
% 168.40/25.30  | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | REF_CLOSE: (530), (5112), (5764) are inconsistent by
% 168.40/25.30  | | | | | | | | | | |            sub-proof #909.
% 168.40/25.30  | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | Case 2:
% 168.40/25.30  | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | |   (5765)   ~ (all_54_10 = e0)
% 168.40/25.30  | | | | | | | | | | |   (5766)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 168.40/25.30  | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | BETA: splitting (248) gives:
% 168.40/25.30  | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | Case 1:
% 168.40/25.30  | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | |   (5767)  all_54_0 = e0
% 168.40/25.30  | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | REF_CLOSE: (532), (5757), (5767) are inconsistent by
% 168.40/25.30  | | | | | | | | | | | |            sub-proof #984.
% 168.40/25.30  | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | Case 2:
% 168.40/25.30  | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | |   (5768)   ~ (all_54_0 = e0)
% 168.40/25.30  | | | | | | | | | | | |   (5769)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 168.40/25.30  | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | BETA: splitting (233) gives:
% 168.40/25.30  | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | Case 1:
% 168.40/25.30  | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | |   (5770)  all_54_15 = e0
% 168.40/25.30  | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | REF_CLOSE: (341), (5763), (5770) are inconsistent by
% 168.40/25.30  | | | | | | | | | | | | |            sub-proof #910.
% 168.40/25.30  | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | Case 2:
% 168.40/25.30  | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | |   (5771)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 168.40/25.30  | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | BETA: splitting (236) gives:
% 168.40/25.30  | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | Case 1:
% 168.40/25.30  | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | |   (5772)  all_54_12 = e0
% 168.40/25.30  | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | COMBINE_EQS: (465), (5772) imply:
% 168.40/25.30  | | | | | | | | | | | | | |   (5773)  all_52_3 = e0
% 168.40/25.30  | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | SIMP: (5773) implies:
% 168.40/25.30  | | | | | | | | | | | | | |   (5774)  all_52_3 = e0
% 168.40/25.30  | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | COMBINE_EQS: (351), (5774) imply:
% 168.40/25.30  | | | | | | | | | | | | | |   (5775)  all_56_12 = e0
% 168.40/25.30  | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | COMBINE_EQS: (542), (5774) imply:
% 168.40/25.30  | | | | | | | | | | | | | |   (5776)  all_58_19 = e0
% 168.40/25.30  | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | REDUCE: (192), (5774) imply:
% 168.40/25.30  | | | | | | | | | | | | | |   (5777)   ~ (all_52_1 = e0)
% 168.40/25.30  | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | REDUCE: (188), (5774) imply:
% 168.40/25.30  | | | | | | | | | | | | | |   (5778)   ~ (all_52_2 = e0)
% 168.40/25.30  | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | REDUCE: (548), (5774) imply:
% 168.40/25.30  | | | | | | | | | | | | | |   (5779)   ~ (all_6_2 = e0)
% 168.40/25.30  | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (43), (154),
% 168.40/25.30  | | | | | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 168.40/25.30  | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 168.40/25.30  | | | | | | | | | | | | | |            (183), (184), (185), (187), (188), (189), (190),
% 168.40/25.30  | | | | | | | | | | | | | |            (193), (202), (206), (207), (209), (211), (234),
% 168.40/25.30  | | | | | | | | | | | | | |            (235), (239), (240), (243), (244), (245), (246),
% 168.40/25.30  | | | | | | | | | | | | | |            (247), (267), (268), (270), (272), (273), (275),
% 168.40/25.30  | | | | | | | | | | | | | |            (276), (277), (278), (282), (284), (285), (286),
% 168.40/25.30  | | | | | | | | | | | | | |            (288), (289), (290), (291), (292), (293), (294),
% 168.40/25.30  | | | | | | | | | | | | | |            (295), (331), (332), (333), (334), (341), (347),
% 168.40/25.30  | | | | | | | | | | | | | |            (348), (351), (356), (368), (371), (374), (377),
% 168.40/25.30  | | | | | | | | | | | | | |            (386), (389), (390), (395), (396), (407), (411),
% 168.40/25.30  | | | | | | | | | | | | | |            (413), (425), (429), (431), (435), (439), (441),
% 168.40/25.30  | | | | | | | | | | | | | |            (446), (448), (451), (455), (456), (460), (466),
% 168.40/25.30  | | | | | | | | | | | | | |            (468), (531), (532), (533), (534), (535), (536),
% 168.40/25.30  | | | | | | | | | | | | | |            (537), (538), (539), (540), (541), (542), (544),
% 168.40/25.30  | | | | | | | | | | | | | |            (546), (548), (550), (552), (554), (555), (556),
% 168.40/25.30  | | | | | | | | | | | | | |            (558), (560), (562), (564), (566), (567), (568),
% 168.40/25.30  | | | | | | | | | | | | | |            (569), (570), (572), (574), (575), (576), (577),
% 168.40/25.30  | | | | | | | | | | | | | |            (578), (5110), (5111), (5112), (5114), (5757),
% 168.40/25.30  | | | | | | | | | | | | | |            (5762), (5769), (5771), (5775), (5776), (5777),
% 168.40/25.30  | | | | | | | | | | | | | |            (5778), (function-axioms) are inconsistent by
% 168.40/25.30  | | | | | | | | | | | | | |            sub-proof #76.
% 168.40/25.30  | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | Case 2:
% 168.40/25.30  | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | |   (5780)   ~ (all_54_12 = e0)
% 168.40/25.30  | | | | | | | | | | | | | |   (5781)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 168.40/25.30  | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | REDUCE: (465), (5780) imply:
% 168.40/25.30  | | | | | | | | | | | | | |   (5782)   ~ (all_52_3 = e0)
% 168.40/25.30  | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 168.40/25.30  | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | Case 1:
% 168.40/25.30  | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | |   (5783)  all_56_0 = e0
% 168.40/25.30  | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | COMBINE_EQS: (536), (5783) imply:
% 168.40/25.30  | | | | | | | | | | | | | | |   (5784)  all_6_2 = e0
% 168.40/25.30  | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | REDUCE: (5757), (5784) imply:
% 168.40/25.30  | | | | | | | | | | | | | | |   (5785)  $false
% 168.40/25.30  | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | CLOSE: (5785) is inconsistent.
% 168.40/25.30  | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | Case 2:
% 168.40/25.30  | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | |   (5786)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 168.40/25.30  | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 168.40/25.30  | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | Case 1:
% 168.40/25.30  | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | |   (5787)  all_54_11 = e0
% 168.40/25.30  | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (5787) imply:
% 168.40/25.30  | | | | | | | | | | | | | | | |   (5788)  all_52_14 = e0
% 168.40/25.30  | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | SIMP: (5788) implies:
% 168.40/25.30  | | | | | | | | | | | | | | | |   (5789)  all_52_14 = e0
% 168.40/25.30  | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (5789) imply:
% 168.40/25.30  | | | | | | | | | | | | | | | |   (5790)  all_56_11 = e0
% 168.40/25.30  | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | COMBINE_EQS: (356), (5789) imply:
% 168.40/25.30  | | | | | | | | | | | | | | | |   (5791)  all_58_30 = e0
% 168.40/25.30  | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | REDUCE: (185), (5789) imply:
% 168.40/25.30  | | | | | | | | | | | | | | | |   (5792)   ~ (all_52_2 = e0)
% 168.40/25.30  | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | REDUCE: (170), (5789) imply:
% 168.40/25.30  | | | | | | | | | | | | | | | |   (5793)   ~ (all_52_6 = e0)
% 168.40/25.30  | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | REDUCE: (156), (5789) imply:
% 168.40/25.30  | | | | | | | | | | | | | | | |   (5794)   ~ (all_52_12 = e0)
% 168.40/25.30  | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | REDUCE: (578), (5789) imply:
% 168.40/25.30  | | | | | | | | | | | | | | | |   (5795)   ~ (all_14_2 = e0)
% 168.40/25.30  | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | REDUCE: (574), (5789) imply:
% 168.40/25.30  | | | | | | | | | | | | | | | |   (5796)   ~ (all_10_2 = e0)
% 168.40/25.30  | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | REDUCE: (630), (5789) imply:
% 168.40/25.30  | | | | | | | | | | | | | | | |   (5797)  op(e1, e0) = all_58_11
% 168.40/25.30  | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | REDUCE: (204), (5789) imply:
% 168.40/25.30  | | | | | | | | | | | | | | | |   (5798)  op(e1, e0) = e0
% 168.40/25.30  | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | BETA: splitting (5786) gives:
% 168.40/25.30  | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.30  | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | |   (5799)  all_56_2 = e0
% 168.40/25.30  | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (5799) imply:
% 168.40/25.30  | | | | | | | | | | | | | | | | |   (5800)  all_52_1 = e0
% 168.40/25.30  | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (5800) imply:
% 168.40/25.30  | | | | | | | | | | | | | | | | |   (5801)  all_58_17 = e0
% 168.40/25.30  | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | REDUCE: (193), (5800) imply:
% 168.40/25.30  | | | | | | | | | | | | | | | | |   (5802)   ~ (all_52_2 = e0)
% 168.40/25.30  | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | REDUCE: (192), (5800) imply:
% 168.40/25.30  | | | | | | | | | | | | | | | | |   (5803)   ~ (all_52_3 = e0)
% 168.40/25.30  | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | REDUCE: (189), (5800) imply:
% 168.40/25.30  | | | | | | | | | | | | | | | | |   (5804)   ~ (all_52_13 = e0)
% 168.40/25.30  | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | SIMP: (5804) implies:
% 168.40/25.30  | | | | | | | | | | | | | | | | |   (5805)   ~ (all_52_13 = e0)
% 168.40/25.30  | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | REDUCE: (544), (5800) imply:
% 168.40/25.30  | | | | | | | | | | | | | | | | |   (5806)   ~ (all_6_2 = e0)
% 168.40/25.30  | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | REDUCE: (555), (5800) imply:
% 168.40/25.30  | | | | | | | | | | | | | | | | |   (5807)   ~ (all_4_2 = e0)
% 168.40/25.30  | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | SIMP: (5807) implies:
% 168.40/25.30  | | | | | | | | | | | | | | | | |   (5808)   ~ (all_4_2 = e0)
% 168.40/25.30  | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 168.40/25.30  | | | | | | | | | | | | | | | | |              all_58_11, e0, e1, simplifying with (5797), (5798)
% 168.40/25.30  | | | | | | | | | | | | | | | | |              gives:
% 168.40/25.30  | | | | | | | | | | | | | | | | |   (5809)  all_58_11 = e0
% 168.40/25.30  | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 168.40/25.30  | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.30  | | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | |   (5810)  all_56_4 = e0
% 168.40/25.30  | | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (5810) imply:
% 168.40/25.30  | | | | | | | | | | | | | | | | | |   (5811)  all_52_8 = e0
% 168.40/25.30  | | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (5811) imply:
% 168.40/25.30  | | | | | | | | | | | | | | | | | |   (5812)  all_58_24 = e0
% 168.40/25.30  | | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | | REDUCE: (178), (5811) imply:
% 168.40/25.30  | | | | | | | | | | | | | | | | | |   (5813)   ~ (all_52_4 = e0)
% 168.40/25.30  | | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | | REDUCE: (167), (5811) imply:
% 168.40/25.30  | | | | | | | | | | | | | | | | | |   (5814)   ~ (all_52_9 = e0)
% 168.40/25.30  | | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | | SIMP: (5814) implies:
% 168.40/25.30  | | | | | | | | | | | | | | | | | |   (5815)   ~ (all_52_9 = e0)
% 168.40/25.30  | | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | | REDUCE: (165), (5811) imply:
% 168.40/25.30  | | | | | | | | | | | | | | | | | |   (5816)   ~ (all_52_11 = e0)
% 168.40/25.30  | | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | | SIMP: (5816) implies:
% 168.40/25.30  | | | | | | | | | | | | | | | | | |   (5817)   ~ (all_52_11 = e0)
% 168.40/25.30  | | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | | BETA: splitting (5761) gives:
% 168.40/25.30  | | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.30  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | | |   (5818)  all_56_12 = e0
% 168.40/25.30  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (5782), (5818) are inconsistent by
% 168.40/25.30  | | | | | | | | | | | | | | | | | | |            sub-proof #919.
% 168.40/25.30  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | | Case 2:
% 168.40/25.30  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | | |   (5819)   ~ (all_56_12 = e0)
% 168.40/25.30  | | | | | | | | | | | | | | | | | | |   (5820)  all_56_13 = e0 | all_56_14 = e0
% 168.40/25.30  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | | | BETA: splitting (5820) gives:
% 168.40/25.30  | | | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | | | Case 1:
% 168.40/25.30  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | | | |   (5821)  all_56_13 = e0
% 168.40/25.30  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (5821) imply:
% 168.40/25.30  | | | | | | | | | | | | | | | | | | | |   (5822)  all_52_7 = e0
% 168.40/25.30  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | | | | SIMP: (5822) implies:
% 168.40/25.30  | | | | | | | | | | | | | | | | | | | |   (5823)  all_52_7 = e0
% 168.40/25.30  | | | | | | | | | | | | | | | | | | | | 
% 168.40/25.30  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (5823) imply:
% 168.40/25.30  | | | | | | | | | | | | | | | | | | | |   (5824)  all_58_23 = e0
% 168.40/25.30  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (52), (62),
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            (161), (162), (180), (187), (188), (207), (212),
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            (236), (239), (240), (242), (243), (247), (248),
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            (269), (270), (271), (274), (275), (276), (278),
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            (282), (291), (293), (295), (331), (332), (334),
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            (335), (341), (347), (351), (371), (374), (377),
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            (386), (390), (407), (413), (425), (431), (435),
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            (439), (446), (453), (455), (456), (465), (531),
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            (532), (533), (534), (535), (536), (537), (538),
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            (539), (542), (546), (548), (550), (554), (556),
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            (557), (558), (560), (564), (566), (570), (572),
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            (575), (576), (577), (628), (629), (5749), (5750),
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            (5752), (5757), (5763), (5771), (5782), (5790),
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            (5791), (5792), (5793), (5799), (5801), (5805),
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            (5808), (5810), (5812), (5813), (5815), (5817),
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            (5824), (function-axioms) are inconsistent by
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            sub-proof #54.
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |   (5825)  all_56_14 = e0
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (5817), (5825) are inconsistent by
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            sub-proof #915.
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.30  | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.30  | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | |   (5826)   ~ (all_56_4 = e0)
% 168.53/25.30  | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | REDUCE: (429), (5826) imply:
% 168.53/25.30  | | | | | | | | | | | | | | | | | |   (5827)   ~ (all_52_8 = e0)
% 168.53/25.30  | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 168.53/25.30  | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | |   (5828)  all_56_0 = e0
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (5828) imply:
% 168.53/25.30  | | | | | | | | | | | | | | | | | | |   (5829)  all_6_2 = e0
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | REDUCE: (5757), (5829) imply:
% 168.53/25.30  | | | | | | | | | | | | | | | | | | |   (5830)  $false
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | CLOSE: (5830) is inconsistent.
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | |   (5831)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | BETA: splitting (5831) gives:
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |   (5832)  all_56_1 = e0
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (5832) imply:
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |   (5833)  all_52_4 = e0
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (5833) imply:
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |   (5834)  all_58_20 = e0
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (5833) imply:
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |   (5835)   ~ (all_52_7 = e0)
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | | SIMP: (5835) implies:
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |   (5836)   ~ (all_52_7 = e0)
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | | REDUCE: (178), (5833) imply:
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |   (5837)   ~ (all_52_8 = e0)
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (5833) imply:
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |   (5838)   ~ (all_52_12 = e0)
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (36), (157), (164), (172),
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            (187), (188), (203), (213), (245), (246), (248),
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            (267), (278), (284), (286), (291), (293), (294),
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            (295), (330), (331), (333), (335), (341), (348),
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            (351), (368), (371), (374), (386), (390), (407),
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            (413), (421), (425), (429), (431), (439), (451),
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            (460), (465), (530), (532), (535), (536), (537),
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            (538), (540), (542), (546), (548), (552), (554),
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            (557), (566), (567), (568), (569), (570), (576),
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            (577), (621), (624), (631), (634), (713), (5109),
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            (5110), (5112), (5755), (5757), (5763), (5766),
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            (5771), (5781), (5782), (5791), (5792), (5794),
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            (5797), (5798), (5799), (5801), (5805), (5808),
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            (5827), (5832), (5834), (5836), (function-axioms)
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #107.
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |   (5839)  all_56_4 = e0 | all_56_9 = e0
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (390), (429), (5794), (5827), (5839) are
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #563.
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.30  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.30  | | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | End of split
% 168.53/25.30  | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.30  | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | |   (5840)  all_56_6 = e0 | all_56_12 = e0
% 168.53/25.30  | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (413), (5782), (5792), (5840) are
% 168.53/25.30  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #918.
% 168.53/25.30  | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | End of split
% 168.53/25.30  | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | Case 2:
% 168.53/25.30  | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | |   (5841)   ~ (all_54_11 = e0)
% 168.53/25.30  | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | REDUCE: (463), (5841) imply:
% 168.53/25.30  | | | | | | | | | | | | | | | |   (5842)   ~ (all_52_14 = e0)
% 168.53/25.30  | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 168.53/25.30  | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.30  | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | |   (5843)  all_56_6 = e0
% 168.53/25.30  | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (5843) imply:
% 168.53/25.30  | | | | | | | | | | | | | | | | |   (5844)  all_52_2 = e0
% 168.53/25.30  | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (5844) imply:
% 168.53/25.30  | | | | | | | | | | | | | | | | |   (5845)  all_58_18 = e0
% 168.53/25.30  | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | REDUCE: (193), (5844) imply:
% 168.53/25.30  | | | | | | | | | | | | | | | | |   (5846)   ~ (all_52_1 = e0)
% 168.53/25.30  | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | REDUCE: (188), (5844) imply:
% 168.53/25.30  | | | | | | | | | | | | | | | | |   (5847)   ~ (all_52_3 = e0)
% 168.53/25.30  | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | REDUCE: (187), (5844) imply:
% 168.53/25.30  | | | | | | | | | | | | | | | | |   (5848)   ~ (all_52_6 = e0)
% 168.53/25.30  | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | SIMP: (5848) implies:
% 168.53/25.30  | | | | | | | | | | | | | | | | |   (5849)   ~ (all_52_6 = e0)
% 168.53/25.30  | | | | | | | | | | | | | | | | | 
% 168.53/25.30  | | | | | | | | | | | | | | | | | REDUCE: (185), (5844) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | |   (5850)   ~ (all_52_14 = e0)
% 168.53/25.31  | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | REDUCE: (556), (5844) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | |   (5851)   ~ (all_10_2 = e0)
% 168.53/25.31  | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | REDUCE: (546), (5844) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | |   (5852)   ~ (all_6_2 = e0)
% 168.53/25.31  | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | REDUCE: (627), (5844) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | |   (5853)  op(e1, e0) = all_58_8
% 168.53/25.31  | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 168.53/25.31  | | | | | | | | | | | | | | | | |              all_58_8, e0, e1, simplifying with (204), (5853)
% 168.53/25.31  | | | | | | | | | | | | | | | | |              gives:
% 168.53/25.31  | | | | | | | | | | | | | | | | |   (5854)  all_58_8 = all_52_14
% 168.53/25.31  | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 168.53/25.31  | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | |   (5855)  all_54_1 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (5855) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | |   (5856)  all_52_4 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | SIMP: (5856) implies:
% 168.53/25.31  | | | | | | | | | | | | | | | | | |   (5857)  all_52_4 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | REDUCE: (177), (5857) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | |   (5858)   ~ (all_52_12 = e0)
% 168.53/25.31  | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | SIMP: (5858) implies:
% 168.53/25.31  | | | | | | | | | | | | | | | | | |   (5859)   ~ (all_52_12 = e0)
% 168.53/25.31  | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | BETA: splitting (5762) gives:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | |   (5860)  all_56_9 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (390), (5859), (5860) are inconsistent by
% 168.53/25.31  | | | | | | | | | | | | | | | | | | |            sub-proof #908.
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | |   (5861)  all_56_10 = e0 | all_56_11 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | BETA: splitting (5861) gives:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |   (5862)  all_56_10 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (5862) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |   (5863)  all_52_13 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | SIMP: (5863) implies:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |   (5864)  all_52_13 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (5864) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |   (5865)  all_58_29 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (161), (5864) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |   (5866)   ~ (all_52_9 = e0)
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (5864) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |   (5867)   ~ (all_14_2 = e0)
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (626), (5864) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |   (5868)  op(e2, e0) = all_58_7
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (208), (5864) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |   (5869)  op(e2, e0) = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (51), (52), (154),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (156), (162), (164), (165), (167), (169), (170),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (172), (177), (178), (179), (180), (183), (184),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (190), (192), (203), (213), (214), (236), (239),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (242), (247), (248), (268), (269), (270), (275),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (277), (282), (287), (288), (290), (291), (293),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (294), (295), (330), (331), (332), (333), (334),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (335), (347), (348), (351), (356), (368), (374),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (377), (386), (389), (390), (395), (396), (407),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (411), (425), (429), (431), (435), (439), (441),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (446), (453), (456), (465), (530), (532), (533),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (541), (542), (544), (548), (550), (552), (554),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (555), (558), (560), (562), (564), (567), (569),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (570), (574), (575), (578), (620), (624), (629),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (631), (5110), (5112), (5752), (5757), (5763),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (5766), (5782), (5842), (5843), (5845), (5846),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (5849), (5859), (5862), (5865), (5866), (5868),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (5869), (function-axioms) are inconsistent by
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            sub-proof #53.
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |   (5870)  all_56_11 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (5842), (5870) are inconsistent by
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            sub-proof #873.
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.31  | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | |   (5871)   ~ (all_54_1 = e0)
% 168.53/25.31  | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | REDUCE: (446), (5871) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | |   (5872)   ~ (all_52_4 = e0)
% 168.53/25.31  | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | |   (5873)  all_56_1 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (5873) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | |   (5874)  all_52_4 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | REDUCE: (5872), (5874) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | |   (5875)  $false
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | CLOSE: (5875) is inconsistent.
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | |   (5876)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |   (5877)  all_54_2 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (451), (5877) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |   (5878)  all_52_8 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | SIMP: (5878) implies:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |   (5879)  all_52_8 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (51), (52), (154), (157),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (161), (164), (165), (170), (177), (178), (180),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (189), (190), (192), (203), (208), (213), (214),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (239), (247), (248), (268), (269), (275), (287),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (291), (293), (295), (330), (331), (332), (335),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (347), (351), (356), (374), (377), (389), (390),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (395), (396), (407), (411), (425), (439), (441),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (446), (456), (465), (530), (532), (536), (537),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (538), (539), (542), (544), (548), (550), (552),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (554), (567), (569), (570), (574), (577), (620),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (626), (629), (631), (5752), (5762), (5766),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (5781), (5782), (5842), (5843), (5845), (5849),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            (5879), (function-axioms) are inconsistent by
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            sub-proof #197.
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |   (5880)   ~ (all_54_2 = e0)
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (451), (5880) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |   (5881)   ~ (all_52_8 = e0)
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | |   (5882)  all_56_4 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (5882) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | |   (5883)  all_52_8 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | REDUCE: (5881), (5883) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | |   (5884)  $false
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | CLOSE: (5884) is inconsistent.
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | |   (5885)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | |   (5886)  all_56_2 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (5886) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | |   (5887)  all_52_1 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5846), (5887) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | |   (5888)  $false
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5888) is inconsistent.
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | |   (5889)   ~ (all_56_2 = e0)
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | |   (5890)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |   (5891)  all_54_5 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (531), (5891) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |   (5892)  all_4_2 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (202), (431), (439), (535), (562), (564), (566),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |            (5110), (5890), (5892), (function-axioms) are
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #58.
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |   (5893)   ~ (all_54_5 = e0)
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |   (5894)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (531), (5893) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |   (5895)   ~ (all_4_2 = e0)
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (41), (42), (43),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |            (52), (62), (154), (156), (157), (161), (162),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |            (164), (165), (167), (169), (170), (172), (177),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |            (178), (179), (180), (183), (184), (185), (187),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |            (188), (189), (190), (192), (193), (204), (206),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |            (207), (209), (211), (213), (234), (235), (236),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |            (237), (239), (240), (241), (245), (246), (247),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |            (267), (270), (271), (272), (273), (275), (276),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |            (277), (278), (279), (282), (284), (285), (286),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |            (288), (289), (290), (291), (292), (293), (294),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |            (295), (331), (332), (333), (334), (335), (341),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |            (347), (348), (351), (356), (368), (371), (374),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |            (377), (386), (389), (390), (395), (396), (407),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |            (411), (413), (425), (429), (431), (435), (439),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |            (441), (446), (451), (455), (456), (460), (462),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |            (463), (465), (466), (468), (530), (531), (532),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |            (533), (534), (535), (536), (537), (538), (539),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |            (540), (541), (542), (544), (546), (548), (550),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |            (552), (554), (555), (556), (558), (560), (562),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |            (564), (566), (567), (568), (569), (570), (572),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |            (574), (575), (576), (577), (578), (619), (620),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |            (628), (5111), (5112), (5114), (5750), (5752),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |            (5757), (5762), (5766), (5769), (5771), (5846),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |            (5876), (5885), (5894), (5895), (function-axioms)
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #379.
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.31  | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | End of split
% 168.53/25.31  | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.31  | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | |   (5896)   ~ (all_56_6 = e0)
% 168.53/25.31  | | | | | | | | | | | | | | | | |   (5897)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | REDUCE: (413), (5896) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | |   (5898)   ~ (all_52_2 = e0)
% 168.53/25.31  | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | BETA: splitting (5786) gives:
% 168.53/25.31  | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | |   (5899)  all_56_2 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (5899) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | |   (5900)  all_52_1 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | REDUCE: (192), (5900) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | |   (5901)   ~ (all_52_3 = e0)
% 168.53/25.31  | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | REDUCE: (189), (5900) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | |   (5902)   ~ (all_52_13 = e0)
% 168.53/25.31  | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | SIMP: (5902) implies:
% 168.53/25.31  | | | | | | | | | | | | | | | | | |   (5903)   ~ (all_52_13 = e0)
% 168.53/25.31  | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | REDUCE: (544), (5900) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | |   (5904)   ~ (all_6_2 = e0)
% 168.53/25.31  | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | BETA: splitting (5897) gives:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | |   (5905)  all_56_7 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (5905) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | |   (5906)  all_52_6 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (368), (5906) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | |   (5907)  all_58_22 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | REDUCE: (172), (5906) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | |   (5908)   ~ (all_52_7 = e0)
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | SIMP: (5908) implies:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | |   (5909)   ~ (all_52_7 = e0)
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | REDUCE: (170), (5906) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | |   (5910)   ~ (all_52_14 = e0)
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | REDUCE: (560), (5906) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | |   (5911)   ~ (all_4_2 = e0)
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | SIMP: (5911) implies:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | |   (5912)   ~ (all_4_2 = e0)
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | BETA: splitting (5761) gives:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |   (5913)  all_56_12 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (5782), (5913) are inconsistent by
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |            sub-proof #919.
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |   (5914)   ~ (all_56_12 = e0)
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | |   (5915)  all_56_13 = e0 | all_56_14 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | BETA: splitting (5915) gives:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | |   (5916)  all_56_13 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (348), (5909), (5916) are inconsistent by
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | |            sub-proof #942.
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | |   (5917)  all_56_14 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (5917) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | |   (5918)  all_52_11 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | SIMP: (5918) implies:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | |   (5919)  all_52_11 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (5919) imply:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | |   (5920)  all_58_27 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (36), (157), (184), (185),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | |            (188), (235), (248), (270), (272), (289), (291),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | |            (293), (295), (296), (331), (333), (334), (335),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | |            (351), (356), (371), (374), (386), (389), (390),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | |            (407), (411), (413), (439), (441), (466), (532),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | |            (533), (536), (537), (538), (539), (540), (541),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | |            (542), (544), (546), (548), (550), (554), (556),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | |            (557), (562), (568), (576), (624), (5110), (5757),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | |            (5762), (5782), (5842), (5898), (5903), (5907),
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | |            (5909), (5912), (5920), (function-axioms) are
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #52.
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | |   (5921)  all_56_8 = e0 | all_56_11 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (534), (5112), (5842), (5921) are
% 168.53/25.31  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #912.
% 168.53/25.31  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.31  | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.31  | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | |   (5922)  all_56_6 = e0 | all_56_12 = e0
% 168.53/25.31  | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (413), (5782), (5898), (5922) are
% 168.53/25.31  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #918.
% 168.53/25.31  | | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | | End of split
% 168.53/25.31  | | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | | End of split
% 168.53/25.31  | | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | | End of split
% 168.53/25.31  | | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | | End of split
% 168.53/25.31  | | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | | End of split
% 168.53/25.31  | | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | | End of split
% 168.53/25.31  | | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | End of split
% 168.53/25.31  | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | End of split
% 168.53/25.31  | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | End of split
% 168.53/25.31  | | | | | | | | | 
% 168.53/25.31  | | | | | | | | Case 2:
% 168.53/25.31  | | | | | | | | | 
% 168.53/25.31  | | | | | | | | |   (5923)  all_42_2 = e0
% 168.53/25.31  | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | COMBINE_EQS: (494), (5923) imply:
% 168.53/25.31  | | | | | | | | |   (5924)  all_6_2 = e0
% 168.53/25.31  | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (61), (62),
% 168.53/25.31  | | | | | | | | |            (154), (156), (157), (161), (162), (164), (165),
% 168.53/25.31  | | | | | | | | |            (167), (169), (170), (172), (177), (178), (179),
% 168.53/25.31  | | | | | | | | |            (180), (183), (184), (185), (187), (188), (189),
% 168.53/25.31  | | | | | | | | |            (190), (192), (193), (202), (203), (204), (208),
% 168.53/25.31  | | | | | | | | |            (212), (233), (234), (237), (239), (241), (242),
% 168.53/25.31  | | | | | | | | |            (243), (244), (245), (246), (247), (266), (270),
% 168.53/25.31  | | | | | | | | |            (273), (274), (275), (276), (277), (278), (279),
% 168.53/25.31  | | | | | | | | |            (280), (281), (282), (284), (286), (287), (291),
% 168.53/25.31  | | | | | | | | |            (293), (294), (295), (330), (331), (332), (333),
% 168.53/25.31  | | | | | | | | |            (334), (335), (341), (347), (348), (351), (356),
% 168.53/25.31  | | | | | | | | |            (368), (371), (374), (377), (386), (389), (390),
% 168.53/25.31  | | | | | | | | |            (395), (396), (407), (411), (413), (425), (429),
% 168.53/25.31  | | | | | | | | |            (431), (435), (439), (441), (446), (448), (451),
% 168.53/25.31  | | | | | | | | |            (453), (456), (460), (462), (463), (468), (531),
% 168.53/25.31  | | | | | | | | |            (533), (534), (535), (536), (537), (538), (539),
% 168.53/25.31  | | | | | | | | |            (540), (541), (542), (544), (546), (548), (550),
% 168.53/25.31  | | | | | | | | |            (552), (554), (555), (556), (558), (560), (562),
% 168.53/25.31  | | | | | | | | |            (564), (566), (567), (569), (570), (572), (574),
% 168.53/25.31  | | | | | | | | |            (576), (577), (578), (619), (625), (626), (628),
% 168.53/25.31  | | | | | | | | |            (630), (632), (633), (634), (5110), (5112), (5750),
% 168.53/25.31  | | | | | | | | |            (5924), (function-axioms) are inconsistent by
% 168.53/25.31  | | | | | | | | |            sub-proof #51.
% 168.53/25.31  | | | | | | | | | 
% 168.53/25.31  | | | | | | | | End of split
% 168.53/25.31  | | | | | | | | 
% 168.53/25.31  | | | | | | | End of split
% 168.53/25.31  | | | | | | | 
% 168.53/25.31  | | | | | | Case 2:
% 168.53/25.31  | | | | | | | 
% 168.53/25.31  | | | | | | |   (5925)  all_20_1 = e0
% 168.53/25.31  | | | | | | | 
% 168.53/25.31  | | | | | | | COMBINE_EQS: (682), (5925) imply:
% 168.53/25.31  | | | | | | |   (5926)  all_10_1 = e0
% 168.53/25.31  | | | | | | | 
% 168.53/25.31  | | | | | | | SIMP: (5926) implies:
% 168.53/25.31  | | | | | | |   (5927)  all_10_1 = e0
% 168.53/25.31  | | | | | | | 
% 168.53/25.31  | | | | | | | COMBINE_EQS: (646), (5927) imply:
% 168.53/25.31  | | | | | | |   (5928)  all_34_1 = e0
% 168.53/25.31  | | | | | | | 
% 168.53/25.31  | | | | | | | REDUCE: (53), (5927) imply:
% 168.53/25.31  | | | | | | |   (5929)  op(e0, all_10_2) = all_10_0
% 168.53/25.31  | | | | | | | 
% 168.53/25.31  | | | | | | | REDUCE: (52), (5927) imply:
% 168.53/25.31  | | | | | | |   (5930)  op(all_10_2, e1) = e0
% 168.53/25.31  | | | | | | | 
% 168.53/25.31  | | | | | | | BETA: splitting (112) gives:
% 168.53/25.31  | | | | | | | 
% 168.53/25.31  | | | | | | | Case 1:
% 168.53/25.31  | | | | | | | | 
% 168.53/25.31  | | | | | | | |   (5931)   ~ (all_34_1 = e0)
% 168.53/25.31  | | | | | | | | 
% 168.53/25.31  | | | | | | | | REDUCE: (5928), (5931) imply:
% 168.53/25.31  | | | | | | | |   (5932)  $false
% 168.53/25.31  | | | | | | | | 
% 168.53/25.31  | | | | | | | | CLOSE: (5932) is inconsistent.
% 168.53/25.31  | | | | | | | | 
% 168.53/25.31  | | | | | | | Case 2:
% 168.53/25.31  | | | | | | | | 
% 168.53/25.31  | | | | | | | |   (5933)   ~ (all_34_0 = e2) |  ~ (all_34_2 = e3)
% 168.53/25.31  | | | | | | | | 
% 168.53/25.31  | | | | | | | | BETA: splitting (131) gives:
% 168.53/25.31  | | | | | | | | 
% 168.53/25.31  | | | | | | | | Case 1:
% 168.53/25.31  | | | | | | | | | 
% 168.53/25.31  | | | | | | | | |   (5934)   ~ (all_42_2 = e0)
% 168.53/25.31  | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | REDUCE: (494), (5934) imply:
% 168.53/25.31  | | | | | | | | |   (5935)   ~ (all_6_2 = e0)
% 168.53/25.31  | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | BETA: splitting (136) gives:
% 168.53/25.31  | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | Case 1:
% 168.53/25.31  | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | |   (5936)   ~ (all_44_1 = e0)
% 168.53/25.31  | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | REDUCE: (5108), (5936) imply:
% 168.53/25.31  | | | | | | | | | |   (5937)  $false
% 168.53/25.31  | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | CLOSE: (5937) is inconsistent.
% 168.53/25.31  | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | Case 2:
% 168.53/25.31  | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | |   (5938)   ~ (all_44_0 = e1) |  ~ (all_44_2 = e3)
% 168.53/25.31  | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | BETA: splitting (266) gives:
% 168.53/25.31  | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | Case 1:
% 168.53/25.31  | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | |   (5939)  all_56_15 = e0
% 168.53/25.31  | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | REF_CLOSE: (4), (61), (62), (533), (634), (5750), (5939),
% 168.53/25.31  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.53/25.31  | | | | | | | | | | |            #400.
% 168.53/25.31  | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | Case 2:
% 168.53/25.31  | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | |   (5940)   ~ (all_56_15 = e0)
% 168.53/25.31  | | | | | | | | | | |   (5941)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 168.53/25.31  | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 168.53/25.31  | | | | | | | | | | |             e0)
% 168.53/25.31  | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | ALPHA: (5941) implies:
% 168.53/25.31  | | | | | | | | | | |   (5942)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 168.53/25.31  | | | | | | | | | | |   (5943)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 168.53/25.31  | | | | | | | | | | | 
% 168.53/25.31  | | | | | | | | | | | REDUCE: (533), (5940) imply:
% 168.53/25.31  | | | | | | | | | | |   (5944)   ~ (all_14_2 = e0)
% 168.53/25.31  | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | BETA: splitting (238) gives:
% 168.53/25.32  | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | Case 1:
% 168.53/25.32  | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | |   (5945)  all_54_10 = e0
% 168.53/25.32  | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | COMBINE_EQS: (530), (5945) imply:
% 168.53/25.32  | | | | | | | | | | | |   (5946)  all_10_2 = e0
% 168.53/25.32  | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | REDUCE: (5112), (5946) imply:
% 168.53/25.32  | | | | | | | | | | | |   (5947)  $false
% 168.53/25.32  | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | CLOSE: (5947) is inconsistent.
% 168.53/25.32  | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | Case 2:
% 168.53/25.32  | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | |   (5948)   ~ (all_54_10 = e0)
% 168.53/25.32  | | | | | | | | | | | |   (5949)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 168.53/25.32  | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | BETA: splitting (248) gives:
% 168.53/25.32  | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | Case 1:
% 168.53/25.32  | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | |   (5950)  all_54_0 = e0
% 168.53/25.32  | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | REF_CLOSE: (532), (5935), (5950) are inconsistent by
% 168.53/25.32  | | | | | | | | | | | | |            sub-proof #984.
% 168.53/25.32  | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | Case 2:
% 168.53/25.32  | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | |   (5951)   ~ (all_54_0 = e0)
% 168.53/25.32  | | | | | | | | | | | | |   (5952)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 168.53/25.32  | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | BETA: splitting (233) gives:
% 168.53/25.32  | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | Case 1:
% 168.53/25.32  | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | |   (5953)  all_54_15 = e0
% 168.53/25.32  | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | COMBINE_EQS: (341), (5953) imply:
% 168.53/25.32  | | | | | | | | | | | | | |   (5954)  all_14_2 = e0
% 168.53/25.32  | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | REDUCE: (5944), (5954) imply:
% 168.53/25.32  | | | | | | | | | | | | | |   (5955)  $false
% 168.53/25.32  | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | CLOSE: (5955) is inconsistent.
% 168.53/25.32  | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | Case 2:
% 168.53/25.32  | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | |   (5956)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 168.53/25.32  | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 168.53/25.32  | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | Case 1:
% 168.53/25.32  | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | |   (5957)  all_54_12 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (43), (154),
% 168.53/25.32  | | | | | | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 168.53/25.32  | | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 168.53/25.32  | | | | | | | | | | | | | | |            (183), (184), (185), (187), (188), (189), (190),
% 168.53/25.32  | | | | | | | | | | | | | | |            (192), (193), (202), (206), (207), (209), (211),
% 168.53/25.32  | | | | | | | | | | | | | | |            (234), (235), (239), (240), (243), (244), (245),
% 168.53/25.32  | | | | | | | | | | | | | | |            (246), (247), (267), (268), (270), (272), (273),
% 168.53/25.32  | | | | | | | | | | | | | | |            (275), (276), (277), (278), (282), (284), (285),
% 168.53/25.32  | | | | | | | | | | | | | | |            (286), (288), (289), (290), (291), (292), (293),
% 168.53/25.32  | | | | | | | | | | | | | | |            (294), (295), (331), (332), (333), (334), (341),
% 168.53/25.32  | | | | | | | | | | | | | | |            (347), (348), (351), (356), (368), (371), (374),
% 168.53/25.32  | | | | | | | | | | | | | | |            (377), (386), (389), (390), (395), (396), (407),
% 168.53/25.32  | | | | | | | | | | | | | | |            (411), (413), (425), (429), (431), (435), (439),
% 168.53/25.32  | | | | | | | | | | | | | | |            (441), (446), (448), (451), (455), (456), (460),
% 168.53/25.32  | | | | | | | | | | | | | | |            (465), (466), (468), (531), (532), (533), (534),
% 168.53/25.32  | | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (540), (541),
% 168.53/25.32  | | | | | | | | | | | | | | |            (542), (544), (546), (548), (550), (552), (554),
% 168.53/25.32  | | | | | | | | | | | | | | |            (555), (556), (558), (560), (562), (564), (566),
% 168.53/25.32  | | | | | | | | | | | | | | |            (567), (568), (569), (570), (572), (574), (575),
% 168.53/25.32  | | | | | | | | | | | | | | |            (576), (577), (578), (5110), (5111), (5112),
% 168.53/25.32  | | | | | | | | | | | | | | |            (5114), (5943), (5952), (5956), (5957),
% 168.53/25.32  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.53/25.32  | | | | | | | | | | | | | | |            #75.
% 168.53/25.32  | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | Case 2:
% 168.53/25.32  | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | |   (5958)   ~ (all_54_12 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | |   (5959)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 168.53/25.32  | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | REDUCE: (465), (5958) imply:
% 168.53/25.32  | | | | | | | | | | | | | | |   (5960)   ~ (all_52_3 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 168.53/25.32  | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | Case 1:
% 168.53/25.32  | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | |   (5961)  all_56_0 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (5961) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | |   (5962)  all_6_2 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | REDUCE: (5935), (5962) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | |   (5963)  $false
% 168.53/25.32  | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | CLOSE: (5963) is inconsistent.
% 168.53/25.32  | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | Case 2:
% 168.53/25.32  | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | |   (5964)   ~ (all_56_0 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | |   (5965)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 168.53/25.32  | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.32  | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | |   (5966)  all_56_4 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (5966) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | |   (5967)  all_52_8 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (5967) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | |   (5968)  all_58_24 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | REDUCE: (167), (5967) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | |   (5969)   ~ (all_52_9 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | SIMP: (5969) implies:
% 168.53/25.32  | | | | | | | | | | | | | | | | |   (5970)   ~ (all_52_9 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | REDUCE: (165), (5967) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | |   (5971)   ~ (all_52_11 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | SIMP: (5971) implies:
% 168.53/25.32  | | | | | | | | | | | | | | | | |   (5972)   ~ (all_52_11 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | REDUCE: (569), (5967) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | |   (5973)   ~ (all_10_2 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | REDUCE: (621), (5967) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | |   (5974)  op(e3, e0) = all_58_2
% 168.53/25.32  | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (51), (61),
% 168.53/25.32  | | | | | | | | | | | | | | | | |            (154), (157), (161), (162), (164), (165), (167),
% 168.53/25.32  | | | | | | | | | | | | | | | | |            (169), (170), (172), (177), (179), (180), (183),
% 168.53/25.32  | | | | | | | | | | | | | | | | |            (184), (185), (187), (188), (189), (190), (192),
% 168.53/25.32  | | | | | | | | | | | | | | | | |            (193), (203), (204), (208), (212), (234), (236),
% 168.53/25.32  | | | | | | | | | | | | | | | | |            (239), (241), (244), (245), (247), (248), (267),
% 168.53/25.32  | | | | | | | | | | | | | | | | |            (269), (270), (273), (276), (277), (278), (279),
% 168.53/25.32  | | | | | | | | | | | | | | | | |            (281), (282), (284), (285), (286), (287), (289),
% 168.53/25.32  | | | | | | | | | | | | | | | | |            (291), (293), (295), (330), (331), (332), (334),
% 168.53/25.32  | | | | | | | | | | | | | | | | |            (335), (341), (347), (348), (351), (356), (368),
% 168.53/25.32  | | | | | | | | | | | | | | | | |            (371), (374), (377), (386), (389), (390), (395),
% 168.53/25.32  | | | | | | | | | | | | | | | | |            (396), (407), (411), (413), (425), (429), (431),
% 168.53/25.32  | | | | | | | | | | | | | | | | |            (435), (439), (441), (446), (448), (456), (460),
% 168.53/25.32  | | | | | | | | | | | | | | | | |            (462), (465), (468), (504), (530), (532), (533),
% 168.53/25.32  | | | | | | | | | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 168.53/25.32  | | | | | | | | | | | | | | | | |            (541), (542), (544), (546), (548), (550), (552),
% 168.53/25.32  | | | | | | | | | | | | | | | | |            (554), (556), (557), (558), (562), (564), (567),
% 168.53/25.32  | | | | | | | | | | | | | | | | |            (569), (570), (572), (574), (575), (576), (577),
% 168.53/25.32  | | | | | | | | | | | | | | | | |            (578), (619), (625), (629), (630), (632), (634),
% 168.53/25.32  | | | | | | | | | | | | | | | | |            (767), (5112), (5929), (5930), (5933), (5942),
% 168.53/25.32  | | | | | | | | | | | | | | | | |            (5943), (5949), (5956), (5960), (5968), (5970),
% 168.53/25.32  | | | | | | | | | | | | | | | | |            (5972), (5974), (function-axioms) are inconsistent
% 168.53/25.32  | | | | | | | | | | | | | | | | |            by sub-proof #56.
% 168.53/25.32  | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.32  | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | |   (5975)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 168.53/25.32  | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | |   (5976)  all_56_0 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (5976) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | |   (5977)  all_6_2 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | REDUCE: (5935), (5977) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | |   (5978)  $false
% 168.53/25.32  | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | CLOSE: (5978) is inconsistent.
% 168.53/25.32  | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | |   (5979)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |   (5980)  all_56_6 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (5980) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |   (5981)  all_52_2 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (5981) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |   (5982)  all_58_18 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | REDUCE: (193), (5981) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |   (5983)   ~ (all_52_1 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | REDUCE: (188), (5981) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |   (5984)   ~ (all_52_3 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | REDUCE: (185), (5981) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |   (5985)   ~ (all_52_14 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | SIMP: (5985) implies:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |   (5986)   ~ (all_52_14 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | REDUCE: (556), (5981) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |   (5987)   ~ (all_10_2 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | REDUCE: (627), (5981) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |   (5988)  op(e1, e0) = all_58_8
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |              all_58_8, e0, e1, simplifying with (204), (5988)
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |              gives:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |   (5989)  all_58_8 = all_52_14
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | |   (5990)  all_54_13 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (5990) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | |   (5991)  all_52_7 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (5991) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | |   (5992)  all_56_13 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (5991) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | |   (5993)  all_58_23 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (5991) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | |   (5994)   ~ (all_52_6 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (5991) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | |   (5995)   ~ (all_52_11 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | SIMP: (5995) implies:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | |   (5996)   ~ (all_52_11 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | BETA: splitting (5975) gives:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | |   (5997)  all_56_5 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (5997) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | |   (5998)  all_52_9 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (377), (5998) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | |   (5999)  all_58_25 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | REDUCE: (161), (5998) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | |   (6000)   ~ (all_52_13 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | SIMP: (6000) implies:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | |   (6001)   ~ (all_52_13 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (5998) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | |   (6002)   ~ (all_4_2 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | SIMP: (6002) implies:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | |   (6003)   ~ (all_4_2 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5943) gives:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |   (6004)  all_56_9 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (6004) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |   (6005)  all_52_12 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (6005) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |   (6006)  all_58_28 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (6005) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |   (6007)   ~ (all_52_4 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (6005) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |   (6008)   ~ (all_52_8 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (6005) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |   (6009)   ~ (all_14_2 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (6005) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |   (6010)   ~ (all_6_2 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | |   (6011)  all_54_5 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (531), (6011) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | |   (6012)  all_4_2 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6003), (6012) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | |   (6013)  $false
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6013) is inconsistent.
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | |   (6014)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (41), (42), (62), (154), (170),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | |            (178), (180), (189), (192), (204), (213), (236),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | |            (237), (239), (241), (246), (247), (270), (271),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | |            (272), (276), (279), (286), (294), (295), (331),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | |            (332), (334), (335), (347), (356), (368), (374),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | |            (386), (389), (395), (396), (407), (425), (429),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | |            (439), (441), (446), (451), (456), (462), (463),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | |            (465), (531), (532), (533), (535), (536), (537),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | |            (539), (542), (544), (548), (550), (552), (558),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | |            (560), (569), (574), (577), (578), (619), (620),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | |            (5112), (5114), (5750), (5935), (5944), (5952),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | |            (5960), (5980), (5982), (5983), (5986), (5992),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | |            (5993), (5994), (5996), (5999), (6001), (6003),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | |            (6004), (6006), (6007), (6008), (6014),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | |            #396.
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |   (6015)  all_56_10 = e0 | all_56_11 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (439), (441), (5986), (6001), (6015) are
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #414.
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | |   (6016)  all_56_8 = e0 | all_56_14 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (534), (5112), (5996), (6016) are
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #914.
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | |   (6017)   ~ (all_54_13 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | REDUCE: (466), (6017) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | |   (6018)   ~ (all_52_7 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | BETA: splitting (5942) gives:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | |   (6019)  all_56_12 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (5960), (6019) are inconsistent by
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | |            sub-proof #919.
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | |   (6020)  all_56_13 = e0 | all_56_14 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6020) gives:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |   (6021)  all_56_13 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (348), (6018), (6021) are inconsistent by
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #942.
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |   (6022)  all_56_14 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (6022) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |   (6023)  all_52_11 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | SIMP: (6023) implies:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |   (6024)  all_52_11 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (6024) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |   (6025)  all_58_27 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (6024) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |   (6026)   ~ (all_52_8 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (6024) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |   (6027)   ~ (all_52_9 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (6024) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |   (6028)   ~ (all_14_2 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (154), (156),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |            (157), (170), (172), (177), (178), (179), (180),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |            (184), (190), (202), (242), (248), (270), (281),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |            (282), (285), (287), (288), (291), (293), (294),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |            (295), (331), (333), (334), (335), (348), (351),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |            (356), (368), (374), (377), (386), (389), (390),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |            (396), (407), (411), (425), (429), (431), (439),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |            (441), (453), (532), (533), (535), (536), (537),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |            (538), (539), (540), (541), (542), (544), (548),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |            (550), (554), (555), (558), (560), (562), (564),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |            (567), (578), (624), (5110), (5943), (5944),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |            (5960), (5979), (5980), (5982), (5983), (5986),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |            (6025), (6026), (6027), (function-axioms) are
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #91.
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |   (6029)   ~ (all_56_6 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |   (6030)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | REDUCE: (413), (6029) imply:
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |   (6031)   ~ (all_52_2 = e0)
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (154), (156),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |            (157), (164), (165), (170), (172), (178), (179),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |            (180), (183), (184), (185), (187), (188), (190),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |            (203), (204), (213), (235), (245), (246), (248),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |            (267), (270), (272), (278), (284), (285), (286),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |            (291), (293), (294), (295), (296), (330), (331),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |            (333), (334), (335), (341), (347), (348), (351),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |            (356), (368), (371), (374), (386), (389), (390),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |            (396), (407), (411), (413), (421), (425), (429),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |            (431), (435), (439), (441), (451), (460), (465),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |            (466), (530), (532), (533), (534), (535), (536),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |            (537), (538), (539), (540), (541), (542), (544),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |            (546), (548), (550), (552), (554), (556), (557),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |            (558), (560), (562), (566), (567), (568), (569),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |            (570), (572), (574), (576), (577), (578), (621),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |            (624), (630), (631), (634), (713), (5109), (5110),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |            (5112), (5938), (5943), (5949), (5956), (5959),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |            (5960), (5965), (5975), (5979), (6030), (6031),
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.53/25.32  | | | | | | | | | | | | | | | | | | |            #101.
% 168.53/25.32  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.32  | | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | | End of split
% 168.53/25.32  | | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | | End of split
% 168.53/25.32  | | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | | End of split
% 168.53/25.32  | | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | | End of split
% 168.53/25.32  | | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | | End of split
% 168.53/25.32  | | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | | End of split
% 168.53/25.32  | | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | | End of split
% 168.53/25.32  | | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | | End of split
% 168.53/25.32  | | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | End of split
% 168.53/25.32  | | | | | | | | | 
% 168.53/25.32  | | | | | | | | Case 2:
% 168.53/25.32  | | | | | | | | | 
% 168.53/25.32  | | | | | | | | |   (6032)  all_42_2 = e0
% 168.53/25.32  | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | COMBINE_EQS: (494), (6032) imply:
% 168.53/25.32  | | | | | | | | |   (6033)  all_6_2 = e0
% 168.53/25.32  | | | | | | | | | 
% 168.53/25.32  | | | | | | | | | SIMP: (6033) implies:
% 168.53/25.32  | | | | | | | | |   (6034)  all_6_2 = e0
% 168.53/25.32  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (61), (62),
% 168.53/25.33  | | | | | | | | |            (154), (156), (157), (161), (162), (164), (165),
% 168.53/25.33  | | | | | | | | |            (167), (169), (170), (172), (177), (178), (179),
% 168.53/25.33  | | | | | | | | |            (180), (183), (184), (185), (187), (188), (189),
% 168.53/25.33  | | | | | | | | |            (190), (192), (193), (202), (203), (204), (208),
% 168.53/25.33  | | | | | | | | |            (212), (233), (234), (237), (239), (241), (242),
% 168.53/25.33  | | | | | | | | |            (243), (244), (245), (246), (247), (266), (270),
% 168.53/25.33  | | | | | | | | |            (273), (274), (275), (276), (277), (278), (279),
% 168.53/25.33  | | | | | | | | |            (280), (281), (282), (284), (286), (287), (291),
% 168.53/25.33  | | | | | | | | |            (293), (294), (295), (330), (331), (332), (333),
% 168.53/25.33  | | | | | | | | |            (334), (335), (341), (347), (348), (351), (356),
% 168.53/25.33  | | | | | | | | |            (368), (371), (374), (377), (386), (389), (390),
% 168.53/25.33  | | | | | | | | |            (395), (396), (407), (411), (413), (425), (429),
% 168.53/25.33  | | | | | | | | |            (431), (435), (439), (441), (446), (448), (451),
% 168.53/25.33  | | | | | | | | |            (453), (456), (460), (462), (463), (468), (531),
% 168.53/25.33  | | | | | | | | |            (533), (534), (535), (536), (537), (538), (539),
% 168.53/25.33  | | | | | | | | |            (540), (541), (542), (544), (546), (548), (550),
% 168.53/25.33  | | | | | | | | |            (552), (554), (555), (556), (558), (560), (562),
% 168.53/25.33  | | | | | | | | |            (564), (566), (567), (569), (570), (572), (574),
% 168.53/25.33  | | | | | | | | |            (576), (577), (578), (619), (625), (626), (628),
% 168.53/25.33  | | | | | | | | |            (630), (632), (633), (634), (5110), (5112), (5750),
% 168.53/25.33  | | | | | | | | |            (6034), (function-axioms) are inconsistent by
% 168.53/25.33  | | | | | | | | |            sub-proof #51.
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | End of split
% 168.53/25.33  | | | | | | | | 
% 168.53/25.33  | | | | | | | End of split
% 168.53/25.33  | | | | | | | 
% 168.53/25.33  | | | | | | End of split
% 168.53/25.33  | | | | | | 
% 168.53/25.33  | | | | | End of split
% 168.53/25.33  | | | | | 
% 168.53/25.33  | | | | Case 2:
% 168.53/25.33  | | | | | 
% 168.53/25.33  | | | | |   (6035)  all_12_1 = e0
% 168.53/25.33  | | | | |   (6036)   ~ (all_12_0 = e2) |  ~ (all_12_2 = e1)
% 168.53/25.33  | | | | | 
% 168.53/25.33  | | | | | COMBINE_EQS: (640), (6035) imply:
% 168.53/25.33  | | | | |   (6037)  all_6_1 = e0
% 168.53/25.33  | | | | | 
% 168.53/25.33  | | | | | COMBINE_EQS: (685), (6037) imply:
% 168.53/25.33  | | | | |   (6038)  all_26_1 = e0
% 168.53/25.33  | | | | | 
% 168.53/25.33  | | | | | REDUCE: (43), (6037) imply:
% 168.53/25.33  | | | | |   (6039)  op(e0, all_6_2) = all_6_0
% 168.53/25.33  | | | | | 
% 168.53/25.33  | | | | | REDUCE: (42), (6037) imply:
% 168.53/25.33  | | | | |   (6040)  op(all_6_2, e3) = e0
% 168.53/25.33  | | | | | 
% 168.53/25.33  | | | | | BETA: splitting (64) gives:
% 168.53/25.33  | | | | | 
% 168.53/25.33  | | | | | Case 1:
% 168.53/25.33  | | | | | | 
% 168.53/25.33  | | | | | |   (6041)   ~ (all_14_0 = e1)
% 168.53/25.33  | | | | | | 
% 168.53/25.33  | | | | | | BETA: splitting (94) gives:
% 168.53/25.33  | | | | | | 
% 168.53/25.33  | | | | | | Case 1:
% 168.53/25.33  | | | | | | | 
% 168.53/25.33  | | | | | | |   (6042)   ~ (all_26_1 = e0)
% 168.53/25.33  | | | | | | | 
% 168.53/25.33  | | | | | | | REDUCE: (6038), (6042) imply:
% 168.53/25.33  | | | | | | |   (6043)  $false
% 168.53/25.33  | | | | | | | 
% 168.53/25.33  | | | | | | | CLOSE: (6043) is inconsistent.
% 168.53/25.33  | | | | | | | 
% 168.53/25.33  | | | | | | Case 2:
% 168.53/25.33  | | | | | | | 
% 168.53/25.33  | | | | | | |   (6044)   ~ (all_26_0 = e1) |  ~ (all_26_2 = e2)
% 168.53/25.33  | | | | | | | 
% 168.53/25.33  | | | | | | | BETA: splitting (145) gives:
% 168.53/25.33  | | | | | | | 
% 168.53/25.33  | | | | | | | Case 1:
% 168.53/25.33  | | | | | | | | 
% 168.53/25.33  | | | | | | | |   (6045)   ~ (all_48_2 = e1)
% 168.53/25.33  | | | | | | | | 
% 168.53/25.33  | | | | | | | | REDUCE: (478), (6045) imply:
% 168.53/25.33  | | | | | | | |   (6046)   ~ (all_14_2 = e1)
% 168.53/25.33  | | | | | | | | 
% 168.53/25.33  | | | | | | | | BETA: splitting (266) gives:
% 168.53/25.33  | | | | | | | | 
% 168.53/25.33  | | | | | | | | Case 1:
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | |   (6047)  all_56_15 = e0
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | COMBINE_EQS: (533), (6047) imply:
% 168.53/25.33  | | | | | | | | |   (6048)  all_14_2 = e0
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | SIMP: (6048) implies:
% 168.53/25.33  | | | | | | | | |   (6049)  all_14_2 = e0
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | REDUCE: (575), (6049) imply:
% 168.53/25.33  | | | | | | | | |   (6050)   ~ (all_52_11 = e0)
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | REDUCE: (576), (6049) imply:
% 168.53/25.33  | | | | | | | | |   (6051)   ~ (all_52_12 = e0)
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | REDUCE: (577), (6049) imply:
% 168.53/25.33  | | | | | | | | |   (6052)   ~ (all_52_13 = e0)
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | REDUCE: (578), (6049) imply:
% 168.53/25.33  | | | | | | | | |   (6053)   ~ (all_52_14 = e0)
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | REDUCE: (63), (6049) imply:
% 168.53/25.33  | | | | | | | | |   (6054)  op(all_14_1, e0) = all_14_0
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | REDUCE: (62), (6049) imply:
% 168.53/25.33  | | | | | | | | |   (6055)  op(e0, e0) = all_14_1
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | REDUCE: (634), (6049) imply:
% 168.53/25.33  | | | | | | | | |   (6056)  op(e0, e0) = all_58_15
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | REDUCE: (61), (6049) imply:
% 168.53/25.33  | | | | | | | | |   (6057)  op(e0, e0) = e0
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1,
% 168.53/25.33  | | | | | | | | |              all_58_15, e0, e0, simplifying with (6055), (6056)
% 168.53/25.33  | | | | | | | | |              gives:
% 168.53/25.33  | | | | | | | | |   (6058)  all_58_15 = all_14_1
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 168.53/25.33  | | | | | | | | |              all_58_15, e0, e0, simplifying with (6056), (6057)
% 168.53/25.33  | | | | | | | | |              gives:
% 168.53/25.33  | | | | | | | | |   (6059)  all_58_15 = e0
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | COMBINE_EQS: (6058), (6059) imply:
% 168.53/25.33  | | | | | | | | |   (6060)  all_14_1 = e0
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | SIMP: (6060) implies:
% 168.53/25.33  | | | | | | | | |   (6061)  all_14_1 = e0
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | REDUCE: (6054), (6061) imply:
% 168.53/25.33  | | | | | | | | |   (6062)  op(e0, e0) = all_14_0
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_14_0,
% 168.53/25.33  | | | | | | | | |              e0, e0, simplifying with (6057), (6062) gives:
% 168.53/25.33  | | | | | | | | |   (6063)  all_14_0 = e0
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | REDUCE: (6041), (6063) imply:
% 168.53/25.33  | | | | | | | | |   (6064)   ~ (e1 = e0)
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | BETA: splitting (273) gives:
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | Case 1:
% 168.53/25.33  | | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | |   (6065)  all_56_6 = e0
% 168.53/25.33  | | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | | COMBINE_EQS: (413), (6065) imply:
% 168.53/25.33  | | | | | | | | | |   (6066)  all_52_2 = e0
% 168.53/25.33  | | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | | REDUCE: (188), (6066) imply:
% 168.53/25.33  | | | | | | | | | |   (6067)   ~ (all_52_3 = e0)
% 168.53/25.33  | | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | | SIMP: (6067) implies:
% 168.53/25.33  | | | | | | | | | |   (6068)   ~ (all_52_3 = e0)
% 168.53/25.33  | | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | | REDUCE: (185), (6066) imply:
% 168.53/25.33  | | | | | | | | | |   (6069)   ~ (all_52_14 = e0)
% 168.53/25.33  | | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | | REDUCE: (556), (6066) imply:
% 168.53/25.33  | | | | | | | | | |   (6070)   ~ (all_10_2 = e0)
% 168.53/25.33  | | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | | REDUCE: (546), (6066) imply:
% 168.53/25.33  | | | | | | | | | |   (6071)   ~ (all_6_2 = e0)
% 168.53/25.33  | | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | | SIMP: (6071) implies:
% 168.53/25.33  | | | | | | | | | |   (6072)   ~ (all_6_2 = e0)
% 168.53/25.33  | | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (36), (41), (51), (52),
% 168.53/25.33  | | | | | | | | | |            (154), (156), (157), (162), (164), (165), (167),
% 168.53/25.33  | | | | | | | | | |            (170), (172), (177), (178), (179), (183), (185),
% 168.53/25.33  | | | | | | | | | |            (187), (188), (190), (192), (193), (202), (204),
% 168.53/25.33  | | | | | | | | | |            (208), (212), (234), (236), (237), (245), (246),
% 168.53/25.33  | | | | | | | | | |            (248), (269), (270), (271), (273), (277), (280),
% 168.53/25.33  | | | | | | | | | |            (281), (284), (289), (290), (293), (294), (295),
% 168.53/25.33  | | | | | | | | | |            (296), (330), (332), (333), (335), (347), (351),
% 168.53/25.33  | | | | | | | | | |            (368), (371), (377), (386), (389), (390), (395),
% 168.53/25.33  | | | | | | | | | |            (396), (407), (411), (413), (425), (429), (431),
% 168.53/25.33  | | | | | | | | | |            (435), (439), (441), (451), (460), (463), (465),
% 168.53/25.33  | | | | | | | | | |            (468), (532), (533), (534), (535), (536), (539),
% 168.53/25.33  | | | | | | | | | |            (540), (541), (542), (544), (546), (548), (550),
% 168.53/25.33  | | | | | | | | | |            (552), (554), (555), (556), (558), (560), (562),
% 168.53/25.33  | | | | | | | | | |            (564), (567), (569), (574), (619), (620), (621),
% 168.53/25.33  | | | | | | | | | |            (623), (624), (625), (627), (628), (629), (5110),
% 168.53/25.33  | | | | | | | | | |            (5112), (6046), (6050), (6051), (6052), (6053),
% 168.53/25.33  | | | | | | | | | |            (6059), (6068), (6072), (function-axioms) are
% 168.53/25.33  | | | | | | | | | |            inconsistent by sub-proof #118.
% 168.53/25.33  | | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | Case 2:
% 168.53/25.33  | | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | |   (6073)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 168.53/25.33  | | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (41), (154), (165), (167),
% 168.53/25.33  | | | | | | | | | |            (170), (172), (177), (178), (180), (185), (192),
% 168.53/25.33  | | | | | | | | | |            (193), (203), (204), (207), (208), (213), (237),
% 168.53/25.33  | | | | | | | | | |            (243), (247), (248), (270), (281), (282), (284),
% 168.53/25.33  | | | | | | | | | |            (289), (290), (292), (294), (295), (296), (330),
% 168.53/25.33  | | | | | | | | | |            (332), (333), (335), (347), (368), (371), (377),
% 168.53/25.33  | | | | | | | | | |            (386), (389), (390), (395), (396), (407), (411),
% 168.53/25.33  | | | | | | | | | |            (425), (429), (431), (439), (441), (446), (463),
% 168.53/25.33  | | | | | | | | | |            (531), (532), (534), (535), (536), (539), (540),
% 168.53/25.33  | | | | | | | | | |            (541), (542), (544), (548), (550), (555), (556),
% 168.53/25.33  | | | | | | | | | |            (558), (560), (564), (569), (619), (622), (623),
% 168.53/25.33  | | | | | | | | | |            (628), (5112), (6040), (6051), (6052), (6053),
% 168.53/25.33  | | | | | | | | | |            (6059), (6073), (function-axioms) are inconsistent
% 168.53/25.33  | | | | | | | | | |            by sub-proof #349.
% 168.53/25.33  | | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | End of split
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | Case 2:
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | |   (6074)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 168.53/25.33  | | | | | | | | |           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0)
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (41), (154), (156),
% 168.53/25.33  | | | | | | | | |            (157), (161), (162), (165), (167), (169), (170),
% 168.53/25.33  | | | | | | | | |            (172), (177), (178), (179), (180), (183), (184),
% 168.53/25.33  | | | | | | | | |            (185), (187), (188), (189), (190), (192), (193),
% 168.53/25.33  | | | | | | | | |            (201), (202), (203), (207), (211), (233), (234),
% 168.53/25.33  | | | | | | | | |            (235), (236), (239), (241), (242), (243), (247),
% 168.53/25.33  | | | | | | | | |            (248), (267), (269), (270), (271), (272), (273),
% 168.53/25.33  | | | | | | | | |            (276), (277), (278), (281), (282), (285), (286),
% 168.53/25.33  | | | | | | | | |            (287), (288), (289), (290), (291), (292), (293),
% 168.53/25.33  | | | | | | | | |            (294), (295), (296), (331), (332), (333), (334),
% 168.53/25.33  | | | | | | | | |            (335), (341), (347), (348), (351), (356), (368),
% 168.53/25.33  | | | | | | | | |            (371), (374), (377), (386), (389), (390), (395),
% 168.53/25.33  | | | | | | | | |            (396), (407), (411), (413), (425), (429), (431),
% 168.53/25.33  | | | | | | | | |            (435), (439), (441), (446), (453), (456), (462),
% 168.53/25.33  | | | | | | | | |            (465), (466), (468), (499), (522), (531), (532),
% 168.53/25.33  | | | | | | | | |            (533), (534), (535), (536), (537), (538), (539),
% 168.53/25.33  | | | | | | | | |            (540), (541), (542), (544), (546), (548), (550),
% 168.53/25.33  | | | | | | | | |            (552), (554), (555), (556), (557), (558), (560),
% 168.53/25.33  | | | | | | | | |            (562), (564), (566), (567), (568), (569), (572),
% 168.53/25.33  | | | | | | | | |            (574), (576), (577), (578), (619), (634), (745),
% 168.53/25.33  | | | | | | | | |            (761), (5110), (5112), (6036), (6039), (6040),
% 168.53/25.33  | | | | | | | | |            (6044), (6074), (function-axioms) are inconsistent
% 168.53/25.33  | | | | | | | | |            by sub-proof #48.
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | End of split
% 168.53/25.33  | | | | | | | | 
% 168.53/25.33  | | | | | | | Case 2:
% 168.53/25.33  | | | | | | | | 
% 168.53/25.33  | | | | | | | |   (6075)  all_48_2 = e1
% 168.53/25.33  | | | | | | | | 
% 168.53/25.33  | | | | | | | | COMBINE_EQS: (478), (6075) imply:
% 168.53/25.33  | | | | | | | |   (6076)  all_14_2 = e1
% 168.53/25.33  | | | | | | | | 
% 168.53/25.33  | | | | | | | | SIMP: (6076) implies:
% 168.53/25.33  | | | | | | | |   (6077)  all_14_2 = e1
% 168.53/25.33  | | | | | | | | 
% 168.53/25.33  | | | | | | | | COMBINE_EQS: (533), (6077) imply:
% 168.53/25.33  | | | | | | | |   (6078)  all_56_15 = e1
% 168.53/25.33  | | | | | | | | 
% 168.53/25.33  | | | | | | | | REDUCE: (634), (6077) imply:
% 168.53/25.33  | | | | | | | |   (6079)  op(e0, e1) = all_58_15
% 168.53/25.33  | | | | | | | | 
% 168.53/25.33  | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 168.53/25.33  | | | | | | | |              all_58_15, e1, e0, simplifying with (201), (6079)
% 168.53/25.33  | | | | | | | |              gives:
% 168.53/25.33  | | | | | | | |   (6080)  all_58_15 = all_52_11
% 168.53/25.33  | | | | | | | | 
% 168.53/25.33  | | | | | | | | BETA: splitting (266) gives:
% 168.53/25.33  | | | | | | | | 
% 168.53/25.33  | | | | | | | | Case 1:
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | |   (6081)  all_56_15 = e0
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | REF_CLOSE: (4), (6078), (6081) are inconsistent by sub-proof
% 168.53/25.33  | | | | | | | | |            #657.
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | Case 2:
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | |   (6082)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 168.53/25.33  | | | | | | | | |           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0)
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (41), (154), (156),
% 168.53/25.33  | | | | | | | | |            (157), (161), (162), (165), (167), (169), (170),
% 168.53/25.33  | | | | | | | | |            (172), (177), (178), (179), (180), (183), (184),
% 168.53/25.33  | | | | | | | | |            (185), (187), (188), (189), (190), (192), (193),
% 168.53/25.33  | | | | | | | | |            (201), (202), (203), (207), (211), (233), (234),
% 168.53/25.33  | | | | | | | | |            (235), (236), (239), (241), (242), (243), (247),
% 168.53/25.33  | | | | | | | | |            (248), (267), (269), (270), (271), (272), (273),
% 168.53/25.33  | | | | | | | | |            (276), (277), (278), (281), (282), (285), (286),
% 168.53/25.33  | | | | | | | | |            (287), (288), (289), (290), (291), (292), (293),
% 168.53/25.33  | | | | | | | | |            (294), (295), (296), (331), (332), (333), (334),
% 168.53/25.33  | | | | | | | | |            (335), (341), (347), (348), (351), (356), (368),
% 168.53/25.33  | | | | | | | | |            (371), (374), (377), (386), (389), (390), (395),
% 168.53/25.33  | | | | | | | | |            (396), (407), (411), (413), (425), (429), (431),
% 168.53/25.33  | | | | | | | | |            (435), (439), (441), (446), (453), (456), (462),
% 168.53/25.33  | | | | | | | | |            (465), (466), (468), (499), (522), (531), (532),
% 168.53/25.33  | | | | | | | | |            (533), (534), (535), (536), (537), (538), (539),
% 168.53/25.33  | | | | | | | | |            (540), (541), (542), (544), (546), (548), (550),
% 168.53/25.33  | | | | | | | | |            (552), (554), (555), (556), (557), (558), (560),
% 168.53/25.33  | | | | | | | | |            (562), (564), (566), (567), (568), (569), (572),
% 168.53/25.33  | | | | | | | | |            (574), (576), (577), (578), (619), (634), (745),
% 168.53/25.33  | | | | | | | | |            (761), (5110), (5112), (6036), (6039), (6040),
% 168.53/25.33  | | | | | | | | |            (6044), (6082), (function-axioms) are inconsistent
% 168.53/25.33  | | | | | | | | |            by sub-proof #48.
% 168.53/25.33  | | | | | | | | | 
% 168.53/25.33  | | | | | | | | End of split
% 168.53/25.33  | | | | | | | | 
% 168.53/25.33  | | | | | | | End of split
% 168.53/25.33  | | | | | | | 
% 168.53/25.33  | | | | | | End of split
% 168.53/25.33  | | | | | | 
% 168.53/25.33  | | | | | Case 2:
% 168.53/25.33  | | | | | | 
% 168.53/25.33  | | | | | |   (6083)  all_14_0 = e1
% 168.53/25.33  | | | | | | 
% 168.53/25.33  | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (37), (38), (41), (61),
% 168.53/25.33  | | | | | |            (62), (63), (89), (94), (126), (154), (156), (157),
% 168.53/25.33  | | | | | |            (161), (162), (164), (165), (167), (169), (170), (172),
% 168.53/25.33  | | | | | |            (177), (178), (179), (180), (183), (184), (185), (187),
% 168.53/25.33  | | | | | |            (188), (189), (190), (192), (193), (201), (202), (203),
% 168.53/25.33  | | | | | |            (204), (207), (208), (211), (212), (233), (234), (235),
% 168.53/25.33  | | | | | |            (236), (237), (238), (239), (241), (242), (243), (245),
% 168.53/25.33  | | | | | |            (246), (247), (248), (266), (267), (269), (270), (271),
% 168.53/25.33  | | | | | |            (272), (273), (276), (277), (278), (279), (281), (282),
% 168.53/25.33  | | | | | |            (285), (286), (287), (288), (289), (290), (291), (292),
% 168.53/25.33  | | | | | |            (293), (294), (295), (296), (330), (331), (332), (333),
% 168.53/25.33  | | | | | |            (334), (335), (341), (347), (348), (351), (356), (368),
% 168.53/25.33  | | | | | |            (371), (374), (377), (386), (389), (390), (395), (396),
% 168.53/25.33  | | | | | |            (407), (411), (413), (425), (429), (431), (435), (439),
% 168.53/25.33  | | | | | |            (441), (446), (451), (453), (456), (460), (462), (463),
% 168.53/25.33  | | | | | |            (465), (466), (468), (496), (499), (510), (522), (530),
% 168.53/25.33  | | | | | |            (531), (532), (533), (534), (535), (536), (537), (538),
% 168.53/25.33  | | | | | |            (539), (540), (541), (542), (544), (546), (548), (550),
% 168.53/25.33  | | | | | |            (552), (554), (555), (556), (557), (558), (560), (562),
% 168.53/25.33  | | | | | |            (564), (566), (567), (568), (569), (570), (572), (574),
% 168.53/25.33  | | | | | |            (576), (577), (578), (619), (621), (622), (624), (627),
% 168.53/25.33  | | | | | |            (630), (631), (633), (634), (688), (740), (745), (761),
% 168.53/25.33  | | | | | |            (5112), (6036), (6038), (6039), (6040), (6083),
% 168.53/25.33  | | | | | |            (function-axioms) are inconsistent by sub-proof #327.
% 168.53/25.33  | | | | | | 
% 168.53/25.33  | | | | | End of split
% 168.53/25.33  | | | | | 
% 168.53/25.33  | | | | End of split
% 168.53/25.33  | | | | 
% 168.53/25.33  | | | Case 2:
% 168.53/25.33  | | | | 
% 168.53/25.33  | | | |   (6084)  all_10_2 = e0
% 168.53/25.33  | | | | 
% 168.53/25.33  | | | | COMBINE_EQS: (534), (6084) imply:
% 168.53/25.33  | | | |   (6085)  all_56_8 = e0
% 168.53/25.33  | | | | 
% 168.53/25.33  | | | | COMBINE_EQS: (539), (6084) imply:
% 168.53/25.33  | | | |   (6086)  all_58_26 = e0
% 168.53/25.33  | | | | 
% 168.53/25.33  | | | | REDUCE: (556), (6084) imply:
% 168.53/25.33  | | | |   (6087)   ~ (all_52_2 = e0)
% 168.53/25.33  | | | | 
% 168.53/25.33  | | | | REDUCE: (567), (6084) imply:
% 168.53/25.33  | | | |   (6088)   ~ (all_52_6 = e0)
% 168.53/25.33  | | | | 
% 168.53/25.33  | | | | REDUCE: (569), (6084) imply:
% 168.53/25.33  | | | |   (6089)   ~ (all_52_8 = e0)
% 168.53/25.33  | | | | 
% 168.53/25.33  | | | | REDUCE: (570), (6084) imply:
% 168.53/25.33  | | | |   (6090)   ~ (all_52_9 = e0)
% 168.53/25.33  | | | | 
% 168.53/25.33  | | | | REDUCE: (572), (6084) imply:
% 168.53/25.33  | | | |   (6091)   ~ (all_52_11 = e0)
% 168.53/25.33  | | | | 
% 168.53/25.33  | | | | REDUCE: (574), (6084) imply:
% 168.53/25.33  | | | |   (6092)   ~ (all_52_14 = e0)
% 168.53/25.33  | | | | 
% 168.53/25.33  | | | | REDUCE: (53), (6084) imply:
% 168.53/25.34  | | | |   (6093)  op(all_10_1, e0) = all_10_0
% 168.53/25.34  | | | | 
% 168.53/25.34  | | | | REDUCE: (52), (6084) imply:
% 168.53/25.34  | | | |   (6094)  op(e0, e1) = all_10_1
% 168.53/25.34  | | | | 
% 168.53/25.34  | | | | REDUCE: (629), (6084) imply:
% 168.53/25.34  | | | |   (6095)  op(e1, e0) = all_58_10
% 168.53/25.34  | | | | 
% 168.53/25.34  | | | | GROUND_INST: instantiating (function-axioms) with all_52_11, all_10_1,
% 168.53/25.34  | | | |              e1, e0, simplifying with (201), (6094) gives:
% 168.53/25.34  | | | |   (6096)  all_52_11 = all_10_1
% 168.53/25.34  | | | | 
% 168.53/25.34  | | | | GROUND_INST: instantiating (function-axioms) with all_52_14, all_58_10,
% 168.53/25.34  | | | |              e0, e1, simplifying with (204), (6095) gives:
% 168.53/25.34  | | | |   (6097)  all_58_10 = all_52_14
% 168.53/25.34  | | | | 
% 168.53/25.34  | | | | COMBINE_EQS: (468), (6096) imply:
% 168.53/25.34  | | | |   (6098)  all_54_14 = all_10_1
% 168.53/25.34  | | | | 
% 168.53/25.34  | | | | COMBINE_EQS: (435), (6096) imply:
% 168.53/25.34  | | | |   (6099)  all_56_14 = all_10_1
% 168.53/25.34  | | | | 
% 168.53/25.34  | | | | COMBINE_EQS: (347), (6096) imply:
% 168.53/25.34  | | | |   (6100)  all_58_27 = all_10_1
% 168.53/25.34  | | | | 
% 168.53/25.34  | | | | REDUCE: (183), (6096) imply:
% 168.53/25.34  | | | |   (6101)   ~ (all_52_3 = all_10_1)
% 168.53/25.34  | | | | 
% 168.53/25.34  | | | | REDUCE: (169), (6096) imply:
% 168.53/25.34  | | | |   (6102)   ~ (all_52_7 = all_10_1)
% 168.53/25.34  | | | | 
% 168.53/25.34  | | | | REDUCE: (165), (6096) imply:
% 168.53/25.34  | | | |   (6103)   ~ (all_52_8 = all_10_1)
% 168.53/25.34  | | | | 
% 168.53/25.34  | | | | REDUCE: (162), (6096) imply:
% 168.53/25.34  | | | |   (6104)   ~ (all_52_9 = all_10_1)
% 168.53/25.34  | | | | 
% 168.53/25.34  | | | | REDUCE: (575), (6096) imply:
% 168.53/25.34  | | | |   (6105)   ~ (all_14_2 = all_10_1)
% 168.53/25.34  | | | | 
% 168.53/25.34  | | | | SIMP: (6105) implies:
% 168.53/25.34  | | | |   (6106)   ~ (all_14_2 = all_10_1)
% 168.53/25.34  | | | | 
% 168.53/25.34  | | | | REDUCE: (6091), (6096) imply:
% 168.53/25.34  | | | |   (6107)   ~ (all_10_1 = e0)
% 168.53/25.34  | | | | 
% 168.53/25.34  | | | | REDUCE: (633), (6096) imply:
% 168.53/25.34  | | | |   (6108)  op(e0, all_10_1) = all_58_14
% 168.53/25.34  | | | | 
% 168.53/25.34  | | | | BETA: splitting (59) gives:
% 168.53/25.34  | | | | 
% 168.53/25.34  | | | | Case 1:
% 168.53/25.34  | | | | | 
% 168.53/25.34  | | | | |   (6109)   ~ (all_12_1 = e0)
% 168.53/25.34  | | | | | 
% 168.53/25.34  | | | | | REDUCE: (640), (6109) imply:
% 168.53/25.34  | | | | |   (6110)   ~ (all_6_1 = e0)
% 168.53/25.34  | | | | | 
% 168.53/25.34  | | | | | BETA: splitting (64) gives:
% 168.53/25.34  | | | | | 
% 168.53/25.34  | | | | | Case 1:
% 168.53/25.34  | | | | | | 
% 168.53/25.34  | | | | | |   (6111)   ~ (all_14_0 = e1)
% 168.53/25.34  | | | | | | 
% 168.53/25.34  | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (41), (42), (51),
% 168.53/25.34  | | | | | |            (52), (61), (62), (63), (131), (136), (145), (154),
% 168.53/25.34  | | | | | |            (156), (157), (161), (164), (167), (170), (172), (177),
% 168.53/25.34  | | | | | |            (178), (179), (180), (184), (185), (187), (188), (189),
% 168.53/25.34  | | | | | |            (190), (192), (193), (202), (203), (204), (208), (212),
% 168.53/25.34  | | | | | |            (233), (234), (235), (236), (237), (239), (241), (242),
% 168.53/25.34  | | | | | |            (243), (244), (245), (247), (248), (266), (267), (268),
% 168.53/25.34  | | | | | |            (269), (270), (271), (272), (274), (275), (276), (278),
% 168.53/25.34  | | | | | |            (279), (280), (281), (282), (284), (285), (286), (288),
% 168.53/25.34  | | | | | |            (289), (290), (291), (292), (293), (294), (295), (330),
% 168.53/25.34  | | | | | |            (331), (332), (333), (334), (335), (341), (348), (351),
% 168.53/25.34  | | | | | |            (356), (368), (371), (374), (377), (386), (389), (390),
% 168.53/25.34  | | | | | |            (395), (396), (407), (411), (413), (421), (425), (429),
% 168.53/25.34  | | | | | |            (431), (439), (441), (446), (448), (453), (456), (460),
% 168.53/25.34  | | | | | |            (462), (463), (465), (466), (478), (494), (531), (532),
% 168.53/25.34  | | | | | |            (533), (535), (536), (537), (538), (539), (540), (541),
% 168.53/25.34  | | | | | |            (542), (544), (546), (548), (550), (552), (554), (555),
% 168.53/25.34  | | | | | |            (557), (558), (560), (562), (564), (566), (568), (576),
% 168.53/25.34  | | | | | |            (577), (578), (619), (620), (622), (623), (624), (626),
% 168.53/25.34  | | | | | |            (629), (631), (632), (634), (713), (5108), (5109),
% 168.53/25.34  | | | | | |            (5110), (6085), (6086), (6087), (6088), (6089), (6090),
% 168.53/25.34  | | | | | |            (6092), (6093), (6097), (6098), (6099), (6100), (6101),
% 168.53/25.34  | | | | | |            (6102), (6103), (6104), (6106), (6107), (6108), (6111),
% 168.53/25.34  | | | | | |            (function-axioms) are inconsistent by sub-proof #44.
% 168.53/25.34  | | | | | | 
% 168.53/25.34  | | | | | Case 2:
% 168.53/25.34  | | | | | | 
% 168.53/25.34  | | | | | |   (6112)  all_14_0 = e1
% 168.53/25.34  | | | | | | 
% 168.53/25.34  | | | | | | REDUCE: (63), (6112) imply:
% 168.53/25.34  | | | | | |   (6113)  op(all_14_1, all_14_2) = e1
% 168.53/25.34  | | | | | | 
% 168.53/25.34  | | | | | | BETA: splitting (131) gives:
% 168.53/25.34  | | | | | | 
% 168.53/25.34  | | | | | | Case 1:
% 168.53/25.34  | | | | | | | 
% 168.53/25.34  | | | | | | |   (6114)   ~ (all_42_2 = e0)
% 168.53/25.34  | | | | | | | 
% 168.53/25.34  | | | | | | | REDUCE: (494), (6114) imply:
% 168.53/25.34  | | | | | | |   (6115)   ~ (all_6_2 = e0)
% 168.53/25.34  | | | | | | | 
% 168.53/25.34  | | | | | | | BETA: splitting (266) gives:
% 168.53/25.34  | | | | | | | 
% 168.53/25.34  | | | | | | | Case 1:
% 168.53/25.34  | | | | | | | | 
% 168.53/25.34  | | | | | | | |   (6116)  all_56_15 = e0
% 168.53/25.34  | | | | | | | | 
% 168.53/25.34  | | | | | | | | REF_CLOSE: (4), (61), (62), (533), (634), (6113), (6116),
% 168.53/25.34  | | | | | | | |            (function-axioms) are inconsistent by sub-proof #400.
% 168.53/25.34  | | | | | | | | 
% 168.53/25.34  | | | | | | | Case 2:
% 168.53/25.34  | | | | | | | | 
% 168.53/25.34  | | | | | | | |   (6117)   ~ (all_56_15 = e0)
% 168.53/25.34  | | | | | | | |   (6118)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 168.53/25.34  | | | | | | | |           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0)
% 168.53/25.34  | | | | | | | | 
% 168.53/25.34  | | | | | | | | ALPHA: (6118) implies:
% 168.53/25.34  | | | | | | | |   (6119)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 168.53/25.34  | | | | | | | |   (6120)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 168.53/25.34  | | | | | | | | 
% 168.53/25.34  | | | | | | | | REDUCE: (533), (6117) imply:
% 168.53/25.34  | | | | | | | |   (6121)   ~ (all_14_2 = e0)
% 168.53/25.34  | | | | | | | | 
% 168.53/25.34  | | | | | | | | BETA: splitting (290) gives:
% 168.53/25.34  | | | | | | | | 
% 168.53/25.34  | | | | | | | | Case 1:
% 168.53/25.34  | | | | | | | | | 
% 168.53/25.34  | | | | | | | | |   (6122)  all_56_0 = e0
% 168.53/25.34  | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | COMBINE_EQS: (536), (6122) imply:
% 168.53/25.34  | | | | | | | | |   (6123)  all_6_2 = e0
% 168.53/25.34  | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | REDUCE: (6115), (6123) imply:
% 168.53/25.34  | | | | | | | | |   (6124)  $false
% 168.53/25.34  | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | CLOSE: (6124) is inconsistent.
% 168.53/25.34  | | | | | | | | | 
% 168.53/25.34  | | | | | | | | Case 2:
% 168.53/25.34  | | | | | | | | | 
% 168.53/25.34  | | | | | | | | |   (6125)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 168.53/25.34  | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | BETA: splitting (234) gives:
% 168.53/25.34  | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | Case 1:
% 168.53/25.34  | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | |   (6126)  all_54_14 = e0
% 168.53/25.34  | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | COMBINE_EQS: (6098), (6126) imply:
% 168.53/25.34  | | | | | | | | | |   (6127)  all_10_1 = e0
% 168.53/25.34  | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | REDUCE: (6107), (6127) imply:
% 168.53/25.34  | | | | | | | | | |   (6128)  $false
% 168.53/25.34  | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | CLOSE: (6128) is inconsistent.
% 168.53/25.34  | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | Case 2:
% 168.53/25.34  | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | |   (6129)   ~ (all_54_14 = e0)
% 168.53/25.34  | | | | | | | | | |   (6130)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 168.53/25.34  | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | BETA: splitting (233) gives:
% 168.53/25.34  | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | Case 1:
% 168.53/25.34  | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | |   (6131)  all_54_15 = e0
% 168.53/25.34  | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | REF_CLOSE: (341), (6121), (6131) are inconsistent by
% 168.53/25.34  | | | | | | | | | | |            sub-proof #910.
% 168.53/25.34  | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | Case 2:
% 168.53/25.34  | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | |   (6132)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 168.53/25.34  | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | BETA: splitting (285) gives:
% 168.53/25.34  | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | Case 1:
% 168.53/25.34  | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | |   (6133)  all_56_1 = e0
% 168.53/25.34  | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | COMBINE_EQS: (396), (6133) imply:
% 168.53/25.34  | | | | | | | | | | | |   (6134)  all_52_4 = e0
% 168.53/25.34  | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | COMBINE_EQS: (541), (6134) imply:
% 168.53/25.34  | | | | | | | | | | | |   (6135)  all_58_20 = e0
% 168.53/25.34  | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | REDUCE: (180), (6134) imply:
% 168.53/25.34  | | | | | | | | | | | |   (6136)   ~ (all_52_6 = e0)
% 168.53/25.34  | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | REDUCE: (179), (6134) imply:
% 168.53/25.34  | | | | | | | | | | | |   (6137)   ~ (all_52_7 = e0)
% 168.53/25.34  | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | SIMP: (6137) implies:
% 168.53/25.34  | | | | | | | | | | | |   (6138)   ~ (all_52_7 = e0)
% 168.53/25.34  | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | REDUCE: (178), (6134) imply:
% 168.53/25.34  | | | | | | | | | | | |   (6139)   ~ (all_52_8 = e0)
% 168.53/25.34  | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | REDUCE: (177), (6134) imply:
% 168.53/25.34  | | | | | | | | | | | |   (6140)   ~ (all_52_12 = e0)
% 168.53/25.34  | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | SIMP: (6140) implies:
% 168.53/25.34  | | | | | | | | | | | |   (6141)   ~ (all_52_12 = e0)
% 168.53/25.34  | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | REDUCE: (620), (6134) imply:
% 168.53/25.34  | | | | | | | | | | | |   (6142)  op(e3, e0) = all_58_1
% 168.53/25.34  | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | BETA: splitting (6119) gives:
% 168.53/25.34  | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | Case 1:
% 168.53/25.34  | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | |   (6143)  all_56_12 = e0
% 168.53/25.34  | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | COMBINE_EQS: (351), (6143) imply:
% 168.53/25.34  | | | | | | | | | | | | |   (6144)  all_52_3 = e0
% 168.53/25.34  | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | SIMP: (6144) implies:
% 168.53/25.34  | | | | | | | | | | | | |   (6145)  all_52_3 = e0
% 168.53/25.34  | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | COMBINE_EQS: (542), (6145) imply:
% 168.53/25.34  | | | | | | | | | | | | |   (6146)  all_58_19 = e0
% 168.53/25.34  | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | REDUCE: (6101), (6145) imply:
% 168.53/25.34  | | | | | | | | | | | | |   (6147)   ~ (all_10_1 = e0)
% 168.53/25.34  | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | REDUCE: (548), (6145) imply:
% 168.53/25.34  | | | | | | | | | | | | |   (6148)   ~ (all_6_2 = e0)
% 168.53/25.34  | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | REDUCE: (631), (6145) imply:
% 168.53/25.34  | | | | | | | | | | | | |   (6149)  op(e0, e0) = all_58_12
% 168.53/25.34  | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | BETA: splitting (6120) gives:
% 168.53/25.34  | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | Case 1:
% 168.53/25.34  | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | |   (6150)  all_56_9 = e0
% 168.53/25.34  | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | COMBINE_EQS: (390), (6150) imply:
% 168.53/25.34  | | | | | | | | | | | | | |   (6151)  all_52_12 = e0
% 168.53/25.34  | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | REDUCE: (6141), (6151) imply:
% 168.53/25.34  | | | | | | | | | | | | | |   (6152)  $false
% 168.53/25.34  | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | CLOSE: (6152) is inconsistent.
% 168.53/25.34  | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | Case 2:
% 168.53/25.34  | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | |   (6153)  all_56_10 = e0 | all_56_11 = e0
% 168.53/25.34  | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | BETA: splitting (6153) gives:
% 168.53/25.34  | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | Case 1:
% 168.53/25.34  | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | |   (6154)  all_56_10 = e0
% 168.53/25.34  | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | COMBINE_EQS: (439), (6154) imply:
% 168.53/25.34  | | | | | | | | | | | | | | |   (6155)  all_52_13 = e0
% 168.53/25.34  | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | SIMP: (6155) implies:
% 168.53/25.34  | | | | | | | | | | | | | | |   (6156)  all_52_13 = e0
% 168.53/25.34  | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | COMBINE_EQS: (374), (6156) imply:
% 168.53/25.34  | | | | | | | | | | | | | | |   (6157)  all_58_29 = e0
% 168.53/25.34  | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | REDUCE: (189), (6156) imply:
% 168.53/25.34  | | | | | | | | | | | | | | |   (6158)   ~ (all_52_1 = e0)
% 168.53/25.34  | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | REDUCE: (154), (6156) imply:
% 168.53/25.34  | | | | | | | | | | | | | | |   (6159)   ~ (all_52_14 = e0)
% 168.53/25.34  | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | REDUCE: (577), (6156) imply:
% 168.53/25.34  | | | | | | | | | | | | | | |   (6160)   ~ (all_14_2 = e0)
% 168.53/25.34  | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | REDUCE: (566), (6156) imply:
% 168.53/25.34  | | | | | | | | | | | | | | |   (6161)   ~ (all_4_2 = e0)
% 168.53/25.34  | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | SIMP: (6161) implies:
% 168.53/25.34  | | | | | | | | | | | | | | |   (6162)   ~ (all_4_2 = e0)
% 168.53/25.34  | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | REDUCE: (626), (6156) imply:
% 168.53/25.34  | | | | | | | | | | | | | | |   (6163)  op(e2, e0) = all_58_7
% 168.53/25.34  | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | REDUCE: (208), (6156) imply:
% 168.53/25.34  | | | | | | | | | | | | | | |   (6164)  op(e2, e0) = e0
% 168.53/25.34  | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 168.53/25.34  | | | | | | | | | | | | | | |              all_58_12, e0, e0, simplifying with (61), (6149)
% 168.53/25.34  | | | | | | | | | | | | | | |              gives:
% 168.53/25.34  | | | | | | | | | | | | | | |   (6165)  all_58_12 = all_14_2
% 168.53/25.34  | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_58_7,
% 168.53/25.34  | | | | | | | | | | | | | | |              e0, e2, simplifying with (6163), (6164) gives:
% 168.53/25.34  | | | | | | | | | | | | | | |   (6166)  all_58_7 = e0
% 168.53/25.34  | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 168.53/25.34  | | | | | | | | | | | | | | |              all_58_1, e0, e3, simplifying with (212), (6142)
% 168.53/25.34  | | | | | | | | | | | | | | |              gives:
% 168.53/25.34  | | | | | | | | | | | | | | |   (6167)  all_58_1 = all_52_12
% 168.53/25.34  | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 168.53/25.34  | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | Case 1:
% 168.53/25.34  | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | |   (6168)  all_54_13 = e0
% 168.53/25.34  | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | REF_CLOSE: (466), (6138), (6168) are inconsistent by
% 168.53/25.34  | | | | | | | | | | | | | | | |            sub-proof #800.
% 168.53/25.34  | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | Case 2:
% 168.53/25.34  | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | |   (6169)   ~ (all_54_13 = e0)
% 168.53/25.34  | | | | | | | | | | | | | | | |   (6170)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 168.53/25.34  | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 168.53/25.34  | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.34  | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | |   (6171)  all_54_5 = e0
% 168.53/25.34  | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | COMBINE_EQS: (531), (6171) imply:
% 168.53/25.34  | | | | | | | | | | | | | | | | |   (6172)  all_4_2 = e0
% 168.53/25.34  | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | REDUCE: (6162), (6172) imply:
% 168.53/25.34  | | | | | | | | | | | | | | | | |   (6173)  $false
% 168.53/25.34  | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | CLOSE: (6173) is inconsistent.
% 168.53/25.34  | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.34  | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | |   (6174)   ~ (all_54_5 = e0)
% 168.53/25.34  | | | | | | | | | | | | | | | | |   (6175)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 168.53/25.34  | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 168.53/25.34  | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | |   (6176)  all_58_23 = e0
% 168.53/25.34  | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (6176) imply:
% 168.53/25.34  | | | | | | | | | | | | | | | | | |   (6177)  all_52_7 = e0
% 168.53/25.34  | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | REDUCE: (6138), (6177) imply:
% 168.53/25.34  | | | | | | | | | | | | | | | | | |   (6178)  $false
% 168.53/25.34  | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | CLOSE: (6178) is inconsistent.
% 168.53/25.34  | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | |   (6179)   ~ (all_58_23 = e0)
% 168.53/25.34  | | | | | | | | | | | | | | | | | |   (6180)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 168.53/25.34  | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | |   (6181)  all_58_31 = e0
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (537), (6181) imply:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | |   (6182)  all_14_2 = e0
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | REDUCE: (6121), (6182) imply:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | |   (6183)  $false
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | CLOSE: (6183) is inconsistent.
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | |   (6184)   ~ (all_58_31 = e0)
% 168.53/25.34  | | | | | | | | | | | | | | | | | | |   (6185)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | |   (6186)  all_58_27 = e0
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6100), (6186) imply:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | |   (6187)  all_10_1 = e0
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | REDUCE: (6107), (6187) imply:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | |   (6188)  $false
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | CLOSE: (6188) is inconsistent.
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | |   (6189)   ~ (all_58_27 = e0)
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | |   (6190)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | BETA: splitting (275) gives:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | |   (6191)  all_56_6 = e2
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (295) gives:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | |   (6192)  all_56_0 = e3
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (6192) imply:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | |   (6193)  all_6_2 = e3
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (6193) imply:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | |   (6194)   ~ (all_52_12 = e3)
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (36), (156), (170), (179), (270),
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | |            (331), (333), (356), (368), (386), (390), (396),
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | |            (429), (441), (533), (537), (538), (540), (541),
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | |            (558), (578), (624), (5110), (6089), (6092),
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | |            (6121), (6125), (6141), (6154), (6157), (6185),
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | |            (6194), (function-axioms) are inconsistent by
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #95.
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | |   (6195)  all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6195) gives:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | |   (6196)  all_56_2 = e3
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (6196) imply:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | |   (6197)  all_52_1 = e3
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (555), (6197) imply:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | |   (6198)   ~ (all_4_2 = e3)
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6198) implies:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | |   (6199)   ~ (all_4_2 = e3)
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |   (6200)  all_58_31 = e0
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (537), (6200) imply:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |   (6201)  all_14_2 = e0
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6121), (6201) imply:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |   (6202)  $false
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6202) is inconsistent.
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |   (6203)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 |
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |             = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |             = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6203) gives:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |   (6204)  all_58_26 = e1
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6086), (6204) are inconsistent by sub-proof
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |            #312.
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |   (6205)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_18 = e1 & all_58_20 = e3 & all_58_24 =
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_20 = e3 & all_58_28 = e0) | (all_58_17 =
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             = e2) | (all_58_17 = e3 & all_58_20 = e3 &
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_23 = e2 & all_58_29 = e2) | (all_58_17 =
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             = e3) | (all_58_17 = e2 & all_58_19 = e3 &
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_20 = e2 & all_58_28 = e3) | (all_58_17 =
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_23 = e0 & all_58_29 = e0) | (all_58_17 =
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_19 = e0 & all_58_24 = e3 & all_58_28 =
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_24 = e3 & all_58_25 = e1) | (all_58_18 =
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_24 = e1 & all_58_28 = e3) | (all_58_18 =
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_27 = e0 & all_58_30 = e0) | (all_58_18 =
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_23 = e0 & all_58_28 = e3 & all_58_29 =
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 =
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 =
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_23 = e0 & all_58_25 = e2 & all_58_29 =
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             e0) | (all_58_22 = e2 & all_58_25 = e2 &
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_27 = e1 & all_58_30 = e1) | (all_58_22 =
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             = e2) | (all_58_22 = e1 & all_58_25 = e1 &
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_27 = e0 & all_58_30 = e0) | (all_58_22 =
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 = e2
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_27 = e0 & all_58_29 = e2 & all_58_30 =
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             e0) | (all_58_23 = e0 & all_58_27 = e1 &
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_29 = e0 & all_58_30 = e1) | (all_58_23 =
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e0 & e1 = e0)
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (368), (386), (531), (560), (624),
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |            (5110), (6135), (6162), (6175), (6180), (6199),
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |            (6205), (function-axioms) are inconsistent by
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #43.
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.34  | | | | | | | | | | | | | | | | | | | | | | |   (6206)  all_56_6 = e3 | all_56_12 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6206) gives:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | |   (6207)  all_56_6 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6191), (6207) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | |   (6208)  e3 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (6208) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | |   (6209)  $false
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6209) is inconsistent.
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | |   (6210)  all_56_12 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6143), (6210) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | |   (6211)  e3 = e0
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (6211) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | |   (6212)  $false
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6212) is inconsistent.
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | |   (6213)   ~ (all_56_6 = e2)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | REDUCE: (413), (6213) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | |   (6214)   ~ (all_52_2 = e2)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (293) gives:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | |   (6215)  all_56_0 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (6215) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | |   (6216)  all_6_2 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (6216) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | |   (6217)  all_58_16 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (6216) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | |   (6218)   ~ (all_52_1 = e2)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (6216) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | |   (6219)   ~ (all_52_12 = e2)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (6216) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | |   (6220)  op(all_6_1, e2) = all_6_0
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (6216) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | |   (6221)  op(e2, e3) = all_6_1
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | |              all_6_1, e3, e2, simplifying with (211), (6221)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | |              gives:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | |   (6222)  all_52_1 = all_6_1
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (6222) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | |   (6223)  all_56_2 = all_6_1
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (6222) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | |   (6224)  all_58_17 = all_6_1
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (193), (6222) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | |   (6225)   ~ (all_52_2 = all_6_1)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | SIMP: (6225) implies:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | |   (6226)   ~ (all_52_2 = all_6_1)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | |   (6227)  all_56_0 = e1
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (293), (411), (413), (6143), (6214),
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | |            (6218), (6227) are inconsistent by sub-proof #731.
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | |   (6228)   ~ (all_56_0 = e1)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | |   (6229)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | |   (6230)  all_56_0 = e1
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (293), (411), (413), (6143), (6214),
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | |            (6218), (6230) are inconsistent by sub-proof #731.
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | |   (6231)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | |   (6232)  all_56_9 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (390), (6219), (6232) are inconsistent by
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #322.
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | |   (6233)   ~ (all_56_9 = e2)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | |   (6234)  all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (295) gives:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6235)  all_56_0 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6215), (6235) are inconsistent by sub-proof
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | |            #735.
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6236)  all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6229) gives:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6237)  all_56_2 = e1
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6223), (6237) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6238)  all_6_1 = e1
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6224), (6238) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6239)  all_58_17 = e1
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6226), (6238) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6240)   ~ (all_52_2 = e1)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6220), (6238) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6241)  op(e1, e2) = all_6_0
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6236) gives:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6242)  all_56_2 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6237), (6242) are inconsistent by sub-proof
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #196.
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6243)  all_56_6 = e3 | all_56_12 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6243) gives:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6244)  all_56_6 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (6244) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6245)  all_52_2 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6245) implies:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6246)  all_52_2 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (6246) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6247)  all_58_18 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (6246) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6248)   ~ (all_52_6 = e3)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6248) implies:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6249)   ~ (all_52_6 = e3)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_6_0, e2, e1, simplifying with (206), (6241)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6250)  all_52_6 = all_6_0
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (6250) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6251)  all_56_7 = all_6_0
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (368), (6250) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6252)  all_58_22 = all_6_0
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (6250) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6253)   ~ (all_52_7 = all_6_0)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6253) implies:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6254)   ~ (all_52_7 = all_6_0)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (6250) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6255)   ~ (all_52_14 = all_6_0)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6255) implies:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6256)   ~ (all_52_14 = all_6_0)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6249), (6250) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6257)   ~ (all_6_0 = e3)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (284) gives:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6258)  all_56_2 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6237), (6258) are inconsistent by sub-proof
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #196.
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6259)   ~ (all_56_2 = e3)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6260)  all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6237), (6259) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6261)   ~ (e3 = e1)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6262)  all_56_4 = e1
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (6262) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6263)  all_52_8 = e1
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6263) implies:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6264)  all_52_8 = e1
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (6264) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6265)  all_58_24 = e1
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (6264) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6266)   ~ (all_52_9 = e1)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6266) implies:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6267)   ~ (all_52_9 = e1)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (6264) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6268)   ~ (all_52_12 = e1)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6268) implies:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6269)   ~ (all_52_12 = e1)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6103), (6264) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6270)   ~ (all_10_1 = e1)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6270) implies:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6271)   ~ (all_10_1 = e1)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6272)  all_58_31 = e0
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (537), (6272) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6273)  all_14_2 = e0
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6121), (6273) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6274)  $false
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6274) is inconsistent.
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6275)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 |
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6190) gives:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6276)  all_58_26 = e1
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6086), (6276) are inconsistent by sub-proof
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #312.
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6277)   ~ (all_58_26 = e1)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6278)  all_58_24 = e3 | all_58_25 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6086), (6277) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6279)   ~ (e1 = e0)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6278) gives:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6280)  all_58_25 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (377), (6280) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6281)  all_52_9 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (6281) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6282)   ~ (all_4_2 = e2)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6282) implies:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6283)   ~ (all_4_2 = e2)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6275) gives:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6284)  all_58_26 = e1
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6086), (6284) are inconsistent by sub-proof
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #312.
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6285)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_18 = e1 & all_58_20 = e3 & all_58_24 =
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_20 = e3 & all_58_28 = e0) | (all_58_17 =
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2) | (all_58_17 = e3 & all_58_20 = e3 &
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_23 = e2 & all_58_29 = e2) | (all_58_17 =
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3) | (all_58_17 = e2 & all_58_19 = e3 &
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_20 = e2 & all_58_28 = e3) | (all_58_17 =
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_23 = e0 & all_58_29 = e0) | (all_58_17 =
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_19 = e0 & all_58_24 = e3 & all_58_28 =
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_24 = e3 & all_58_25 = e1) | (all_58_18 =
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_24 = e1 & all_58_28 = e3) | (all_58_18 =
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_27 = e0 & all_58_30 = e0) | (all_58_18 =
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_23 = e0 & all_58_28 = e3 & all_58_29 =
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 =
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 =
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_23 = e0 & all_58_25 = e2 & all_58_29 =
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) | (all_58_22 = e2 & all_58_25 = e2 &
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_27 = e1 & all_58_30 = e1) | (all_58_22 =
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2) | (all_58_22 = e1 & all_58_25 = e1 &
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_27 = e0 & all_58_30 = e0) | (all_58_22 =
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_27 = e0 & all_58_29 = e2 & all_58_30 =
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) | (all_58_23 = e0 & all_58_27 = e1 &
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_58_29 = e0 & all_58_30 = e1) | (all_58_23 =
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & all_58_30 = e0 & e1 = e0)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6180) gives:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6286)  all_58_22 = e1
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6252), (6286) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6287)  all_6_0 = e1
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6287) implies:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6288)  all_6_0 = e1
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6251), (6288) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6289)  all_56_7 = e1
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6254), (6288) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6290)   ~ (all_52_7 = e1)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6256), (6288) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6291)   ~ (all_52_14 = e1)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (287) gives:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6292)  all_56_1 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6133), (6292) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6293)  e2 = e0
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6293) implies:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6294)  e2 = e0
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6280), (6294) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6295)  all_58_25 = e0
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (6265), (6278), (6295) are inconsistent
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #967.
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6296)  all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6296) gives:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6297)  all_56_3 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (6297) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6298)  all_4_2 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6283), (6298) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6299)  $false
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6299) is inconsistent.
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6300)  all_56_7 = e2 | all_56_13 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6300) gives:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6301)  all_56_7 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6289), (6301) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6302)  e2 = e1
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (6302) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6303)  $false
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6303) is inconsistent.
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6304)  all_56_13 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (6304) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6305)  all_52_7 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6305) implies:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6306)  all_52_7 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (6306) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6307)  all_58_23 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (6306) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6308)   ~ (all_14_2 = e2)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6308) implies:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6309)   ~ (all_14_2 = e2)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6102), (6306) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6310)   ~ (all_10_1 = e2)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6310) implies:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6311)   ~ (all_10_1 = e2)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6234) gives:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6312)  all_56_10 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6154), (6312) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6313)  e2 = e0
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6280), (6313) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6314)  all_58_25 = e0
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (6265), (6278), (6314) are inconsistent
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #967.
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6315)   ~ (all_56_10 = e2)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6316)  all_56_11 = e2 | all_56_15 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6154), (6315) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6317)   ~ (e2 = e0)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6260) gives:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6318)  all_56_3 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (6318) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6319)  all_4_2 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (386), (6319) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6320)  all_58_21 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6130) gives:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6321)  all_54_14 = e1
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6098), (6321) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6322)  all_10_1 = e1
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6271), (6322) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6323)  $false
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6323) is inconsistent.
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6324)  all_54_14 = e3 | all_54_14 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6324) gives:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6325)  all_54_14 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6098), (6325) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6326)  all_10_1 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6311), (6326) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6327)  $false
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6327) is inconsistent.
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6328)  all_54_14 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6098), (6328) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6329)  all_10_1 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6100), (6329) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6330)  all_58_27 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6331)  all_56_9 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (6331) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6332)  all_52_12 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6332) implies:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6333)  all_52_12 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (6333) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6334)  all_58_28 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6316) gives:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6335)  all_56_11 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (6335) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6336)  all_52_14 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6336) implies:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6337)  all_52_14 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (356), (6337) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6338)  all_58_30 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (293), (411), (413),
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6086), (6135), (6143), (6146), (6157), (6214),
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6215), (6217), (6218), (6239), (6247), (6265),
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6275), (6280), (6286), (6307), (6320), (6330),
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6334), (6338) are inconsistent by sub-proof #289.
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6339)  all_56_15 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (533), (6339) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6340)  all_14_2 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6340) implies:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6341)  all_14_2 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6309), (6341) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6342)  $false
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6342) is inconsistent.
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6343)   ~ (all_56_9 = e3)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (390), (6343) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6344)   ~ (all_52_12 = e3)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (356), (538), (6157), (6185), (6291), (6344)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #795.
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6345)   ~ (all_56_3 = e3)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (535), (6345) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6346)   ~ (all_4_2 = e3)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (368), (386), (531), (560), (624),
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5110), (6135), (6162), (6175), (6180), (6285),
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6346), (function-axioms) are inconsistent by
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #43.
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6347)  all_58_20 = e3 | all_58_21 = e2
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (386), (6135), (6283), (6347) are
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #974.
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6348)  all_58_24 = e3
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6265), (6348) are inconsistent by sub-proof
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #254.
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6349)   ~ (all_56_4 = e1)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (429), (6349) imply:
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6350)   ~ (all_52_8 = e1)
% 168.53/25.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6231) gives:
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6351)  all_56_1 = e1
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6133), (6351) are inconsistent by sub-proof
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #754.
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6352)  all_56_4 = e1 | all_56_9 = e1
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6352) gives:
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6353)  all_56_4 = e1
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (429), (6350), (6353) are inconsistent by
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #504.
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6354)  all_56_9 = e1
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (6354) imply:
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6355)  all_52_12 = e1
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6355) implies:
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6356)  all_52_12 = e1
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (6356) imply:
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6357)   ~ (all_14_2 = e1)
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6357) implies:
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6358)   ~ (all_14_2 = e1)
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6219), (6356) imply:
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6359)   ~ (e2 = e1)
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (156), (164), (170),
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (172), (245), (269), (270), (271), (275), (276),
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (279), (293), (330), (331), (332), (333), (341),
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (348), (356), (368), (377), (386), (390), (395),
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (411), (413), (425), (429), (431), (441), (460),
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (466), (533), (536), (537), (538), (540), (544),
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (546), (552), (554), (555), (562), (564), (578),
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6085), (6086), (6089), (6092), (6097), (6099),
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6100), (6103), (6106), (6107), (6115), (6121),
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6132), (6135), (6138), (6141), (6143), (6154),
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6157), (6162), (6165), (6166), (6167), (6170),
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6358) are inconsistent by sub-proof #319.
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6360)  all_56_12 = e3
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6143), (6360) imply:
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6361)  e3 = e0
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (6361) imply:
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6362)  $false
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6362) is inconsistent.
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6363)  all_56_6 = e1 | all_56_12 = e1
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (36), (187), (368), (386), (413), (624),
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5110), (6135), (6143), (6162), (6180), (6363),
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #42.
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | |   (6364)  all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6364) gives:
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | |   (6365)  all_56_2 = e2
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (6365) imply:
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | |   (6366)  all_52_1 = e2
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (6366) imply:
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | |   (6367)   ~ (all_52_9 = e2)
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6367) implies:
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | |   (6368)   ~ (all_52_9 = e2)
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (156), (164), (170),
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | |            (172), (245), (269), (270), (271), (275), (276),
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | |            (279), (293), (330), (331), (332), (333), (341),
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | |            (348), (356), (368), (377), (386), (390), (395),
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | |            (411), (413), (425), (429), (431), (441), (460),
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | |            (466), (533), (536), (537), (538), (540), (544),
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | |            (546), (552), (554), (555), (562), (564), (578),
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | |            (6085), (6086), (6089), (6092), (6097), (6099),
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | |            (6100), (6103), (6106), (6107), (6115), (6121),
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | |            (6132), (6135), (6138), (6141), (6143), (6154),
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | |            (6157), (6162), (6165), (6166), (6167), (6170),
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | |            (6185), (6190), (6368) are inconsistent by
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #41.
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | |   (6369)  all_56_6 = e2 | all_56_12 = e2
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (413), (6143), (6214), (6369) are
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #733.
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.36  | | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | | End of split
% 168.53/25.36  | | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | | End of split
% 168.53/25.36  | | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | | End of split
% 168.53/25.36  | | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | End of split
% 168.53/25.36  | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | Case 2:
% 168.53/25.36  | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | |   (6370)  all_56_11 = e0
% 168.53/25.36  | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | | REF_CLOSE: (441), (6092), (6370) are inconsistent by
% 168.53/25.36  | | | | | | | | | | | | | | |            sub-proof #873.
% 168.53/25.36  | | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | End of split
% 168.53/25.36  | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | End of split
% 168.53/25.36  | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | Case 2:
% 168.53/25.36  | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | |   (6371)  all_56_13 = e0 | all_56_14 = e0
% 168.53/25.36  | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | REF_CLOSE: (348), (6099), (6107), (6138), (6371) are
% 168.53/25.36  | | | | | | | | | | | | |            inconsistent by sub-proof #316.
% 168.53/25.36  | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | End of split
% 168.53/25.36  | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | Case 2:
% 168.53/25.36  | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | |   (6372)   ~ (all_56_1 = e0)
% 168.53/25.36  | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | REDUCE: (396), (6372) imply:
% 168.53/25.36  | | | | | | | | | | | |   (6373)   ~ (all_52_4 = e0)
% 168.53/25.36  | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | BETA: splitting (6125) gives:
% 168.53/25.36  | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | Case 1:
% 168.53/25.36  | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | |   (6374)  all_56_1 = e0
% 168.53/25.36  | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | COMBINE_EQS: (396), (6374) imply:
% 168.53/25.36  | | | | | | | | | | | | |   (6375)  all_52_4 = e0
% 168.53/25.36  | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | REDUCE: (6373), (6375) imply:
% 168.53/25.36  | | | | | | | | | | | | |   (6376)  $false
% 168.53/25.36  | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | CLOSE: (6376) is inconsistent.
% 168.53/25.36  | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | Case 2:
% 168.53/25.36  | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | |   (6377)  all_56_4 = e0 | all_56_9 = e0
% 168.53/25.36  | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | BETA: splitting (6377) gives:
% 168.53/25.36  | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | Case 1:
% 168.53/25.36  | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | |   (6378)  all_56_4 = e0
% 168.53/25.36  | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | COMBINE_EQS: (429), (6378) imply:
% 168.53/25.36  | | | | | | | | | | | | | |   (6379)  all_52_8 = e0
% 168.53/25.36  | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | REDUCE: (6089), (6379) imply:
% 168.53/25.36  | | | | | | | | | | | | | |   (6380)  $false
% 168.53/25.36  | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | CLOSE: (6380) is inconsistent.
% 168.53/25.36  | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | Case 2:
% 168.53/25.36  | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | |   (6381)  all_56_9 = e0
% 168.53/25.36  | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | COMBINE_EQS: (390), (6381) imply:
% 168.53/25.36  | | | | | | | | | | | | | |   (6382)  all_52_12 = e0
% 168.53/25.36  | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | REDUCE: (157), (6382) imply:
% 168.53/25.36  | | | | | | | | | | | | | |   (6383)   ~ (all_52_13 = e0)
% 168.53/25.36  | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | SIMP: (6383) implies:
% 168.53/25.36  | | | | | | | | | | | | | |   (6384)   ~ (all_52_13 = e0)
% 168.53/25.36  | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | REDUCE: (156), (6382) imply:
% 168.53/25.36  | | | | | | | | | | | | | |   (6385)   ~ (all_52_14 = e0)
% 168.53/25.36  | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (61), (154), (156),
% 168.53/25.36  | | | | | | | | | | | | | |            (157), (161), (164), (167), (172), (177), (178),
% 168.53/25.36  | | | | | | | | | | | | | |            (179), (180), (184), (185), (187), (188), (189),
% 168.53/25.36  | | | | | | | | | | | | | |            (190), (193), (202), (204), (208), (212), (239),
% 168.53/25.36  | | | | | | | | | | | | | |            (242), (247), (267), (268), (269), (270), (272),
% 168.53/25.36  | | | | | | | | | | | | | |            (274), (276), (278), (280), (281), (284), (285),
% 168.53/25.36  | | | | | | | | | | | | | |            (286), (287), (291), (292), (294), (330), (331),
% 168.53/25.36  | | | | | | | | | | | | | |            (332), (334), (335), (348), (351), (356), (371),
% 168.53/25.36  | | | | | | | | | | | | | |            (374), (377), (386), (389), (390), (395), (396),
% 168.53/25.36  | | | | | | | | | | | | | |            (407), (411), (413), (425), (429), (431), (439),
% 168.53/25.36  | | | | | | | | | | | | | |            (441), (446), (453), (456), (533), (535), (536),
% 168.53/25.36  | | | | | | | | | | | | | |            (537), (538), (540), (541), (542), (546), (548),
% 168.53/25.36  | | | | | | | | | | | | | |            (552), (554), (555), (558), (560), (562), (564),
% 168.53/25.36  | | | | | | | | | | | | | |            (566), (568), (577), (578), (622), (623), (632),
% 168.53/25.36  | | | | | | | | | | | | | |            (5110), (6085), (6086), (6088), (6090), (6092),
% 168.53/25.36  | | | | | | | | | | | | | |            (6093), (6097), (6099), (6100), (6101), (6102),
% 168.53/25.36  | | | | | | | | | | | | | |            (6103), (6104), (6106), (6120), (6384),
% 168.53/25.36  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.53/25.36  | | | | | | | | | | | | | |            #40.
% 168.53/25.36  | | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | | End of split
% 168.53/25.36  | | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | | End of split
% 168.53/25.36  | | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | | End of split
% 168.53/25.36  | | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | | End of split
% 168.53/25.36  | | | | | | | | | | 
% 168.53/25.36  | | | | | | | | | End of split
% 168.53/25.36  | | | | | | | | | 
% 168.53/25.36  | | | | | | | | End of split
% 168.53/25.36  | | | | | | | | 
% 168.53/25.36  | | | | | | | End of split
% 168.53/25.36  | | | | | | | 
% 168.53/25.36  | | | | | | Case 2:
% 168.53/25.36  | | | | | | | 
% 168.53/25.36  | | | | | | |   (6386)  all_42_2 = e0
% 168.53/25.36  | | | | | | | 
% 168.53/25.36  | | | | | | | COMBINE_EQS: (494), (6386) imply:
% 168.53/25.36  | | | | | | |   (6387)  all_6_2 = e0
% 168.53/25.36  | | | | | | | 
% 168.53/25.36  | | | | | | | COMBINE_EQS: (536), (6387) imply:
% 168.53/25.36  | | | | | | |   (6388)  all_56_0 = e0
% 168.53/25.36  | | | | | | | 
% 168.53/25.36  | | | | | | | COMBINE_EQS: (407), (6387) imply:
% 168.53/25.36  | | | | | | |   (6389)  all_58_16 = e0
% 168.53/25.36  | | | | | | | 
% 168.53/25.36  | | | | | | | REDUCE: (544), (6387) imply:
% 168.53/25.36  | | | | | | |   (6390)   ~ (all_52_1 = e0)
% 168.53/25.36  | | | | | | | 
% 168.53/25.36  | | | | | | | REDUCE: (42), (6387) imply:
% 168.53/25.36  | | | | | | |   (6391)  op(e0, e3) = all_6_1
% 168.53/25.36  | | | | | | | 
% 168.53/25.36  | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 168.53/25.36  | | | | | | |              all_6_1, e3, e0, simplifying with (203), (6391)
% 168.53/25.36  | | | | | | |              gives:
% 168.53/25.36  | | | | | | |   (6392)  all_52_3 = all_6_1
% 168.53/25.36  | | | | | | | 
% 168.53/25.36  | | | | | | | COMBINE_EQS: (351), (6392) imply:
% 168.53/25.36  | | | | | | |   (6393)  all_56_12 = all_6_1
% 168.53/25.36  | | | | | | | 
% 168.53/25.36  | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (145), (154), (156),
% 168.53/25.36  | | | | | | |            (157), (161), (164), (167), (170), (172), (178), (179),
% 168.53/25.36  | | | | | | |            (180), (184), (185), (187), (188), (189), (190), (192),
% 168.53/25.36  | | | | | | |            (193), (202), (203), (204), (233), (234), (236), (239),
% 168.53/25.36  | | | | | | |            (242), (244), (247), (266), (267), (268), (269), (270),
% 168.53/25.36  | | | | | | |            (271), (275), (278), (281), (285), (286), (288), (291),
% 168.53/25.36  | | | | | | |            (292), (294), (295), (331), (332), (334), (335), (341),
% 168.53/25.36  | | | | | | |            (348), (351), (356), (368), (371), (374), (377), (386),
% 168.53/25.36  | | | | | | |            (389), (390), (395), (396), (411), (413), (425), (429),
% 168.53/25.36  | | | | | | |            (431), (439), (441), (446), (448), (453), (456), (465),
% 168.53/25.36  | | | | | | |            (478), (533), (535), (537), (538), (541), (542), (555),
% 168.53/25.36  | | | | | | |            (558), (560), (562), (564), (566), (576), (577), (578),
% 168.53/25.36  | | | | | | |            (5110), (6086), (6087), (6089), (6090), (6093), (6098),
% 168.53/25.36  | | | | | | |            (6099), (6100), (6101), (6102), (6103), (6104), (6106),
% 168.53/25.36  | | | | | | |            (6107), (6110), (6388), (6389), (6390), (6391), (6393),
% 168.53/25.36  | | | | | | |            (function-axioms) are inconsistent by sub-proof #45.
% 168.53/25.36  | | | | | | | 
% 168.53/25.36  | | | | | | End of split
% 168.53/25.36  | | | | | | 
% 168.53/25.36  | | | | | End of split
% 168.53/25.36  | | | | | 
% 168.53/25.36  | | | | Case 2:
% 168.53/25.36  | | | | | 
% 168.53/25.36  | | | | |   (6394)  all_12_1 = e0
% 168.53/25.36  | | | | | 
% 168.53/25.36  | | | | | COMBINE_EQS: (640), (6394) imply:
% 168.53/25.36  | | | | |   (6395)  all_6_1 = e0
% 168.53/25.36  | | | | | 
% 168.53/25.36  | | | | | SIMP: (6395) implies:
% 168.53/25.36  | | | | |   (6396)  all_6_1 = e0
% 168.53/25.36  | | | | | 
% 168.53/25.36  | | | | | REDUCE: (42), (6396) imply:
% 168.53/25.36  | | | | |   (6397)  op(all_6_2, e3) = e0
% 168.53/25.36  | | | | | 
% 168.53/25.36  | | | | | BETA: splitting (64) gives:
% 168.53/25.36  | | | | | 
% 168.53/25.36  | | | | | Case 1:
% 168.53/25.36  | | | | | | 
% 168.53/25.36  | | | | | |   (6398)   ~ (all_14_0 = e1)
% 168.53/25.36  | | | | | | 
% 168.64/25.36  | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (41), (42), (51),
% 168.64/25.36  | | | | | |            (52), (61), (62), (63), (131), (136), (145), (154),
% 168.64/25.36  | | | | | |            (156), (157), (161), (164), (167), (170), (172), (177),
% 168.64/25.36  | | | | | |            (178), (179), (180), (184), (185), (187), (188), (189),
% 168.64/25.36  | | | | | |            (190), (192), (193), (202), (203), (204), (208), (212),
% 168.64/25.36  | | | | | |            (233), (234), (235), (236), (237), (239), (241), (242),
% 168.64/25.36  | | | | | |            (243), (244), (245), (247), (248), (266), (267), (268),
% 168.64/25.36  | | | | | |            (269), (270), (271), (272), (274), (275), (276), (278),
% 168.64/25.36  | | | | | |            (279), (280), (281), (282), (284), (285), (286), (288),
% 168.64/25.36  | | | | | |            (289), (290), (291), (292), (293), (294), (295), (330),
% 168.64/25.36  | | | | | |            (331), (332), (333), (334), (335), (341), (348), (351),
% 168.64/25.36  | | | | | |            (356), (368), (371), (374), (377), (386), (389), (390),
% 168.64/25.36  | | | | | |            (395), (396), (407), (411), (413), (421), (425), (429),
% 168.64/25.36  | | | | | |            (431), (439), (441), (446), (448), (453), (456), (460),
% 168.64/25.36  | | | | | |            (462), (463), (465), (466), (478), (494), (531), (532),
% 168.64/25.36  | | | | | |            (533), (535), (536), (537), (538), (539), (540), (541),
% 168.64/25.36  | | | | | |            (542), (544), (546), (548), (550), (552), (554), (555),
% 168.64/25.36  | | | | | |            (557), (558), (560), (562), (564), (566), (568), (576),
% 168.64/25.36  | | | | | |            (577), (578), (619), (620), (622), (623), (624), (626),
% 168.64/25.36  | | | | | |            (629), (631), (632), (634), (713), (5108), (5109),
% 168.64/25.36  | | | | | |            (5110), (6085), (6086), (6087), (6088), (6089), (6090),
% 168.64/25.36  | | | | | |            (6092), (6093), (6097), (6098), (6099), (6100), (6101),
% 168.64/25.36  | | | | | |            (6102), (6103), (6104), (6106), (6107), (6108), (6398),
% 168.64/25.36  | | | | | |            (function-axioms) are inconsistent by sub-proof #44.
% 168.64/25.36  | | | | | | 
% 168.64/25.36  | | | | | Case 2:
% 168.64/25.36  | | | | | | 
% 168.64/25.36  | | | | | |   (6399)  all_14_0 = e1
% 168.64/25.36  | | | | | | 
% 168.64/25.36  | | | | | | REDUCE: (63), (6399) imply:
% 168.64/25.36  | | | | | |   (6400)  op(all_14_1, all_14_2) = e1
% 168.64/25.36  | | | | | | 
% 168.64/25.36  | | | | | | BETA: splitting (266) gives:
% 168.64/25.36  | | | | | | 
% 168.64/25.36  | | | | | | Case 1:
% 168.64/25.36  | | | | | | | 
% 168.64/25.36  | | | | | | |   (6401)  all_56_15 = e0
% 168.64/25.36  | | | | | | | 
% 168.64/25.36  | | | | | | | REF_CLOSE: (4), (61), (62), (533), (634), (6400), (6401),
% 168.64/25.36  | | | | | | |            (function-axioms) are inconsistent by sub-proof #400.
% 168.64/25.36  | | | | | | | 
% 168.64/25.36  | | | | | | Case 2:
% 168.64/25.36  | | | | | | | 
% 168.64/25.36  | | | | | | |   (6402)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 168.64/25.36  | | | | | | |           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0)
% 168.64/25.36  | | | | | | | 
% 168.64/25.36  | | | | | | | ALPHA: (6402) implies:
% 168.64/25.36  | | | | | | |   (6403)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 168.64/25.36  | | | | | | | 
% 168.64/25.36  | | | | | | | BETA: splitting (241) gives:
% 168.64/25.36  | | | | | | | 
% 168.64/25.36  | | | | | | | Case 1:
% 168.64/25.36  | | | | | | | | 
% 168.64/25.36  | | | | | | | |   (6404)  all_54_7 = e0
% 168.64/25.36  | | | | | | | | 
% 168.64/25.36  | | | | | | | | COMBINE_EQS: (462), (6404) imply:
% 168.64/25.36  | | | | | | | |   (6405)  all_52_13 = e0
% 168.64/25.36  | | | | | | | | 
% 168.64/25.36  | | | | | | | | SIMP: (6405) implies:
% 168.64/25.36  | | | | | | | |   (6406)  all_52_13 = e0
% 168.64/25.36  | | | | | | | | 
% 168.64/25.36  | | | | | | | | REDUCE: (189), (6406) imply:
% 168.64/25.36  | | | | | | | |   (6407)   ~ (all_52_1 = e0)
% 168.64/25.36  | | | | | | | | 
% 168.64/25.36  | | | | | | | | REF_CLOSE: (41), (203), (207), (211), (248), (289), (293),
% 168.64/25.36  | | | | | | | |            (295), (532), (536), (548), (619), (6087), (6397),
% 168.64/25.36  | | | | | | | |            (6407), (function-axioms) are inconsistent by
% 168.64/25.36  | | | | | | | |            sub-proof #50.
% 168.64/25.36  | | | | | | | | 
% 168.64/25.36  | | | | | | | Case 2:
% 168.64/25.36  | | | | | | | | 
% 168.64/25.36  | | | | | | | |   (6408)   ~ (all_54_7 = e0)
% 168.64/25.36  | | | | | | | | 
% 168.64/25.36  | | | | | | | | REDUCE: (462), (6408) imply:
% 168.64/25.36  | | | | | | | |   (6409)   ~ (all_52_13 = e0)
% 168.64/25.36  | | | | | | | | 
% 168.64/25.36  | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (61), (154), (156),
% 168.64/25.36  | | | | | | | |            (157), (161), (164), (167), (172), (177), (178),
% 168.64/25.36  | | | | | | | |            (179), (180), (184), (185), (187), (188), (189),
% 168.64/25.36  | | | | | | | |            (190), (193), (202), (204), (208), (212), (239),
% 168.64/25.36  | | | | | | | |            (242), (247), (267), (268), (269), (270), (272),
% 168.64/25.36  | | | | | | | |            (274), (276), (278), (280), (281), (284), (285),
% 168.64/25.37  | | | | | | | |            (286), (287), (291), (292), (294), (330), (331),
% 168.64/25.37  | | | | | | | |            (332), (334), (335), (348), (351), (356), (371),
% 168.64/25.37  | | | | | | | |            (374), (377), (386), (389), (390), (395), (396),
% 168.64/25.37  | | | | | | | |            (407), (411), (413), (425), (429), (431), (439),
% 168.64/25.37  | | | | | | | |            (441), (446), (453), (456), (533), (535), (536),
% 168.64/25.37  | | | | | | | |            (537), (538), (540), (541), (542), (546), (548),
% 168.64/25.37  | | | | | | | |            (552), (554), (555), (558), (560), (562), (564),
% 168.64/25.37  | | | | | | | |            (566), (568), (577), (578), (622), (623), (632),
% 168.64/25.37  | | | | | | | |            (5110), (6085), (6086), (6088), (6090), (6092),
% 168.64/25.37  | | | | | | | |            (6093), (6097), (6099), (6100), (6101), (6102),
% 168.64/25.37  | | | | | | | |            (6103), (6104), (6106), (6403), (6409),
% 168.64/25.37  | | | | | | | |            (function-axioms) are inconsistent by sub-proof #40.
% 168.64/25.37  | | | | | | | | 
% 168.64/25.37  | | | | | | | End of split
% 168.64/25.37  | | | | | | | 
% 168.64/25.37  | | | | | | End of split
% 168.64/25.37  | | | | | | 
% 168.64/25.37  | | | | | End of split
% 168.64/25.37  | | | | | 
% 168.64/25.37  | | | | End of split
% 168.64/25.37  | | | | 
% 168.64/25.37  | | | End of split
% 168.64/25.37  | | | 
% 168.64/25.37  | | Case 2:
% 168.64/25.37  | | | 
% 168.64/25.37  | | |   (6410)  all_6_0 = e0
% 168.64/25.37  | | |   (6411)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 168.64/25.37  | | | 
% 168.64/25.37  | | | COMBINE_EQS: (765), (6410) imply:
% 168.64/25.37  | | |   (6412)  all_8_0 = e0
% 168.64/25.37  | | | 
% 168.64/25.37  | | | REDUCE: (43), (6410) imply:
% 168.64/25.37  | | |   (6413)  op(all_6_1, all_6_2) = e0
% 168.64/25.37  | | | 
% 168.64/25.37  | | | BETA: splitting (49) gives:
% 168.64/25.37  | | | 
% 168.64/25.37  | | | Case 1:
% 168.64/25.37  | | | | 
% 168.64/25.37  | | | |   (6414)   ~ (all_8_0 = e0)
% 168.64/25.37  | | | | 
% 168.64/25.37  | | | | REDUCE: (6412), (6414) imply:
% 168.64/25.37  | | | |   (6415)  $false
% 168.64/25.37  | | | | 
% 168.64/25.37  | | | | CLOSE: (6415) is inconsistent.
% 168.64/25.37  | | | | 
% 168.64/25.37  | | | Case 2:
% 168.64/25.37  | | | | 
% 168.64/25.37  | | | |   (6416)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 168.64/25.37  | | | | 
% 168.64/25.37  | | | | BETA: splitting (54) gives:
% 168.64/25.37  | | | | 
% 168.64/25.37  | | | | Case 1:
% 168.64/25.37  | | | | | 
% 168.64/25.37  | | | | |   (6417)   ~ (all_10_2 = e0)
% 168.64/25.37  | | | | | 
% 168.64/25.37  | | | | | BETA: splitting (64) gives:
% 168.64/25.37  | | | | | 
% 168.64/25.37  | | | | | Case 1:
% 168.64/25.37  | | | | | | 
% 168.64/25.37  | | | | | |   (6418)   ~ (all_14_0 = e1)
% 168.64/25.37  | | | | | | 
% 168.64/25.37  | | | | | | BETA: splitting (74) gives:
% 168.64/25.37  | | | | | | 
% 168.64/25.37  | | | | | | Case 1:
% 168.64/25.37  | | | | | | | 
% 168.64/25.37  | | | | | | |   (6419)   ~ (all_18_1 = e1)
% 168.64/25.37  | | | | | | | 
% 168.64/25.37  | | | | | | | REDUCE: (650), (6419) imply:
% 168.64/25.37  | | | | | | |   (6420)   ~ (all_14_1 = e1)
% 168.64/25.37  | | | | | | | 
% 168.64/25.37  | | | | | | | BETA: splitting (79) gives:
% 168.64/25.37  | | | | | | | 
% 168.64/25.37  | | | | | | | Case 1:
% 168.64/25.37  | | | | | | | | 
% 168.64/25.37  | | | | | | | |   (6421)   ~ (all_20_1 = e0)
% 168.64/25.37  | | | | | | | | 
% 168.64/25.37  | | | | | | | | REDUCE: (682), (6421) imply:
% 168.64/25.37  | | | | | | | |   (6422)   ~ (all_10_1 = e0)
% 168.64/25.37  | | | | | | | | 
% 168.64/25.37  | | | | | | | | BETA: splitting (84) gives:
% 168.64/25.37  | | | | | | | | 
% 168.64/25.37  | | | | | | | | Case 1:
% 168.64/25.37  | | | | | | | | | 
% 168.64/25.37  | | | | | | | | |   (6423)   ~ (all_22_0 = e0)
% 168.64/25.37  | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | REDUCE: (723), (6423) imply:
% 168.64/25.37  | | | | | | | | |   (6424)   ~ (all_10_0 = e0)
% 168.64/25.37  | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | BETA: splitting (145) gives:
% 168.64/25.37  | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | Case 1:
% 168.64/25.37  | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | |   (6425)   ~ (all_48_2 = e1)
% 168.64/25.37  | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | REDUCE: (478), (6425) imply:
% 168.64/25.37  | | | | | | | | | |   (6426)   ~ (all_14_2 = e1)
% 168.64/25.37  | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | BETA: splitting (266) gives:
% 168.64/25.37  | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | Case 1:
% 168.64/25.37  | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | |   (6427)  all_56_15 = e0
% 168.64/25.37  | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | COMBINE_EQS: (533), (6427) imply:
% 168.64/25.37  | | | | | | | | | | |   (6428)  all_14_2 = e0
% 168.64/25.37  | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | SIMP: (6428) implies:
% 168.64/25.37  | | | | | | | | | | |   (6429)  all_14_2 = e0
% 168.64/25.37  | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | REDUCE: (575), (6429) imply:
% 168.64/25.37  | | | | | | | | | | |   (6430)   ~ (all_52_11 = e0)
% 168.64/25.37  | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | REDUCE: (576), (6429) imply:
% 168.64/25.37  | | | | | | | | | | |   (6431)   ~ (all_52_12 = e0)
% 168.64/25.37  | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | REDUCE: (577), (6429) imply:
% 168.64/25.37  | | | | | | | | | | |   (6432)   ~ (all_52_13 = e0)
% 168.64/25.37  | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | REDUCE: (578), (6429) imply:
% 168.64/25.37  | | | | | | | | | | |   (6433)   ~ (all_52_14 = e0)
% 168.64/25.37  | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | REDUCE: (63), (6429) imply:
% 168.64/25.37  | | | | | | | | | | |   (6434)  op(all_14_1, e0) = all_14_0
% 168.64/25.37  | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | REDUCE: (62), (6429) imply:
% 168.64/25.37  | | | | | | | | | | |   (6435)  op(e0, e0) = all_14_1
% 168.64/25.37  | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | REDUCE: (634), (6429) imply:
% 168.64/25.37  | | | | | | | | | | |   (6436)  op(e0, e0) = all_58_15
% 168.64/25.37  | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | REDUCE: (61), (6429) imply:
% 168.64/25.37  | | | | | | | | | | |   (6437)  op(e0, e0) = e0
% 168.64/25.37  | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (41), (42), (51),
% 168.64/25.37  | | | | | | | | | | |            (52), (154), (156), (157), (162), (164), (165),
% 168.64/25.37  | | | | | | | | | | |            (167), (170), (172), (177), (178), (179), (180),
% 168.64/25.37  | | | | | | | | | | |            (183), (185), (188), (190), (192), (193), (202),
% 168.64/25.37  | | | | | | | | | | |            (203), (204), (208), (212), (234), (236), (237),
% 168.64/25.37  | | | | | | | | | | |            (245), (246), (247), (248), (267), (269), (270),
% 168.64/25.37  | | | | | | | | | | |            (271), (272), (273), (275), (277), (280), (281),
% 168.64/25.37  | | | | | | | | | | |            (282), (284), (289), (290), (291), (292), (293),
% 168.64/25.37  | | | | | | | | | | |            (294), (295), (296), (330), (332), (333), (335),
% 168.64/25.37  | | | | | | | | | | |            (347), (351), (368), (371), (377), (386), (389),
% 168.64/25.37  | | | | | | | | | | |            (390), (395), (396), (407), (411), (413), (425),
% 168.64/25.37  | | | | | | | | | | |            (429), (431), (435), (439), (441), (446), (451),
% 168.64/25.37  | | | | | | | | | | |            (460), (463), (465), (468), (532), (533), (534),
% 168.64/25.37  | | | | | | | | | | |            (535), (536), (539), (540), (541), (542), (544),
% 168.64/25.37  | | | | | | | | | | |            (546), (548), (550), (552), (554), (555), (556),
% 168.64/25.37  | | | | | | | | | | |            (558), (560), (562), (564), (567), (569), (570),
% 168.64/25.37  | | | | | | | | | | |            (574), (619), (620), (621), (623), (624), (625),
% 168.64/25.37  | | | | | | | | | | |            (627), (628), (629), (5110), (6413), (6417),
% 168.64/25.37  | | | | | | | | | | |            (6418), (6426), (6427), (6430), (6431), (6432),
% 168.64/25.37  | | | | | | | | | | |            (6433), (6434), (6435), (6436), (6437),
% 168.64/25.37  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.64/25.37  | | | | | | | | | | |            #38.
% 168.64/25.37  | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | Case 2:
% 168.64/25.37  | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | |   (6438)   ~ (all_56_15 = e0)
% 168.64/25.37  | | | | | | | | | | |   (6439)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 168.64/25.37  | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 168.64/25.37  | | | | | | | | | | |             e0)
% 168.64/25.37  | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | ALPHA: (6439) implies:
% 168.64/25.37  | | | | | | | | | | |   (6440)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 168.64/25.37  | | | | | | | | | | |   (6441)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 168.64/25.37  | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | REDUCE: (533), (6438) imply:
% 168.64/25.37  | | | | | | | | | | |   (6442)   ~ (all_14_2 = e0)
% 168.64/25.37  | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | BETA: splitting (233) gives:
% 168.64/25.37  | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | Case 1:
% 168.64/25.37  | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | |   (6443)  all_54_15 = e0
% 168.64/25.37  | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | REF_CLOSE: (341), (6442), (6443) are inconsistent by
% 168.64/25.37  | | | | | | | | | | | |            sub-proof #910.
% 168.64/25.37  | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | Case 2:
% 168.64/25.37  | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | |   (6444)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 168.64/25.37  | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | BETA: splitting (238) gives:
% 168.64/25.37  | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | Case 1:
% 168.64/25.37  | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | |   (6445)  all_54_10 = e0
% 168.64/25.37  | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | REF_CLOSE: (530), (6417), (6445) are inconsistent by
% 168.64/25.37  | | | | | | | | | | | | |            sub-proof #909.
% 168.64/25.37  | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | Case 2:
% 168.64/25.37  | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | |   (6446)   ~ (all_54_10 = e0)
% 168.64/25.37  | | | | | | | | | | | | |   (6447)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 168.64/25.37  | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | BETA: splitting (241) gives:
% 168.64/25.37  | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | Case 1:
% 168.64/25.37  | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | |   (6448)  all_54_7 = e0
% 168.64/25.37  | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | COMBINE_EQS: (462), (6448) imply:
% 168.64/25.37  | | | | | | | | | | | | | |   (6449)  all_52_13 = e0
% 168.64/25.37  | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | SIMP: (6449) implies:
% 168.64/25.37  | | | | | | | | | | | | | |   (6450)  all_52_13 = e0
% 168.64/25.37  | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | COMBINE_EQS: (439), (6450) imply:
% 168.64/25.37  | | | | | | | | | | | | | |   (6451)  all_56_10 = e0
% 168.64/25.37  | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | COMBINE_EQS: (374), (6450) imply:
% 168.64/25.37  | | | | | | | | | | | | | |   (6452)  all_58_29 = e0
% 168.64/25.37  | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | REDUCE: (189), (6450) imply:
% 168.64/25.37  | | | | | | | | | | | | | |   (6453)   ~ (all_52_1 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | REDUCE: (161), (6450) imply:
% 168.64/25.37  | | | | | | | | | | | | | |   (6454)   ~ (all_52_9 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | REDUCE: (157), (6450) imply:
% 168.64/25.37  | | | | | | | | | | | | | |   (6455)   ~ (all_52_12 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | REDUCE: (154), (6450) imply:
% 168.64/25.37  | | | | | | | | | | | | | |   (6456)   ~ (all_52_14 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | SIMP: (6456) implies:
% 168.64/25.37  | | | | | | | | | | | | | |   (6457)   ~ (all_52_14 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | REDUCE: (577), (6450) imply:
% 168.64/25.37  | | | | | | | | | | | | | |   (6458)   ~ (all_14_2 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 168.64/25.37  | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | Case 1:
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | |   (6459)  all_56_6 = e0
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | COMBINE_EQS: (413), (6459) imply:
% 168.64/25.37  | | | | | | | | | | | | | | |   (6460)  all_52_2 = e0
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | COMBINE_EQS: (371), (6460) imply:
% 168.64/25.37  | | | | | | | | | | | | | | |   (6461)  all_58_18 = e0
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | REDUCE: (188), (6460) imply:
% 168.64/25.37  | | | | | | | | | | | | | | |   (6462)   ~ (all_52_3 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | SIMP: (6462) implies:
% 168.64/25.37  | | | | | | | | | | | | | | |   (6463)   ~ (all_52_3 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | REDUCE: (187), (6460) imply:
% 168.64/25.37  | | | | | | | | | | | | | | |   (6464)   ~ (all_52_6 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | SIMP: (6464) implies:
% 168.64/25.37  | | | | | | | | | | | | | | |   (6465)   ~ (all_52_6 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | REDUCE: (546), (6460) imply:
% 168.64/25.37  | | | | | | | | | | | | | | |   (6466)   ~ (all_6_2 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | SIMP: (6466) implies:
% 168.64/25.37  | | | | | | | | | | | | | | |   (6467)   ~ (all_6_2 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | Case 1:
% 168.64/25.37  | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | |   (6468)  all_56_4 = e0
% 168.64/25.37  | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (51), (52), (154), (157),
% 168.64/25.37  | | | | | | | | | | | | | | | |            (161), (164), (165), (170), (177), (178), (180),
% 168.64/25.37  | | | | | | | | | | | | | | | |            (189), (190), (192), (203), (208), (213), (214),
% 168.64/25.37  | | | | | | | | | | | | | | | |            (236), (239), (247), (248), (268), (269), (275),
% 168.64/25.37  | | | | | | | | | | | | | | | |            (287), (291), (293), (295), (330), (331), (332),
% 168.64/25.37  | | | | | | | | | | | | | | | |            (335), (347), (351), (356), (374), (377), (389),
% 168.64/25.37  | | | | | | | | | | | | | | | |            (390), (395), (396), (407), (411), (425), (429),
% 168.64/25.37  | | | | | | | | | | | | | | | |            (439), (441), (446), (456), (465), (530), (532),
% 168.64/25.37  | | | | | | | | | | | | | | | |            (536), (537), (538), (539), (542), (544), (548),
% 168.64/25.37  | | | | | | | | | | | | | | | |            (550), (552), (554), (567), (569), (570), (574),
% 168.64/25.37  | | | | | | | | | | | | | | | |            (577), (620), (626), (629), (631), (6422), (6441),
% 168.64/25.37  | | | | | | | | | | | | | | | |            (6447), (6457), (6459), (6461), (6463), (6465),
% 168.64/25.37  | | | | | | | | | | | | | | | |            (6468), (function-axioms) are inconsistent by
% 168.64/25.37  | | | | | | | | | | | | | | | |            sub-proof #153.
% 168.64/25.37  | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | Case 2:
% 168.64/25.37  | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | |   (6469)   ~ (all_56_4 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | | REDUCE: (429), (6469) imply:
% 168.64/25.37  | | | | | | | | | | | | | | | |   (6470)   ~ (all_52_8 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (36), (156), (170), (179),
% 168.64/25.37  | | | | | | | | | | | | | | | |            (270), (290), (331), (333), (356), (368), (386),
% 168.64/25.37  | | | | | | | | | | | | | | | |            (390), (396), (429), (441), (533), (536), (537),
% 168.64/25.37  | | | | | | | | | | | | | | | |            (538), (540), (541), (558), (624), (5110), (6426),
% 168.64/25.37  | | | | | | | | | | | | | | | |            (6442), (6451), (6452), (6455), (6467), (6470),
% 168.64/25.37  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.64/25.37  | | | | | | | | | | | | | | | |            #37.
% 168.64/25.37  | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | End of split
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | Case 2:
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | |   (6471)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (61), (154),
% 168.64/25.37  | | | | | | | | | | | | | | |            (156), (157), (161), (164), (165), (167), (169),
% 168.64/25.37  | | | | | | | | | | | | | | |            (170), (172), (177), (178), (179), (180), (183),
% 168.64/25.37  | | | | | | | | | | | | | | |            (185), (187), (188), (189), (190), (192), (193),
% 168.64/25.37  | | | | | | | | | | | | | | |            (203), (204), (207), (208), (211), (212), (237),
% 168.64/25.37  | | | | | | | | | | | | | | |            (240), (242), (243), (244), (246), (247), (248),
% 168.64/25.37  | | | | | | | | | | | | | | |            (270), (274), (275), (277), (278), (279), (280),
% 168.64/25.37  | | | | | | | | | | | | | | |            (281), (282), (285), (287), (289), (290), (291),
% 168.64/25.37  | | | | | | | | | | | | | | |            (293), (294), (295), (330), (331), (332), (333),
% 168.64/25.37  | | | | | | | | | | | | | | |            (334), (335), (341), (347), (348), (351), (356),
% 168.64/25.37  | | | | | | | | | | | | | | |            (368), (371), (374), (377), (386), (389), (390),
% 168.64/25.37  | | | | | | | | | | | | | | |            (395), (396), (407), (411), (413), (425), (429),
% 168.64/25.37  | | | | | | | | | | | | | | |            (431), (435), (439), (441), (446), (448), (451),
% 168.64/25.37  | | | | | | | | | | | | | | |            (453), (455), (463), (521), (531), (532), (533),
% 168.64/25.37  | | | | | | | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 168.64/25.37  | | | | | | | | | | | | | | |            (541), (542), (544), (546), (550), (552), (554),
% 168.64/25.37  | | | | | | | | | | | | | | |            (555), (556), (558), (560), (562), (564), (566),
% 168.64/25.37  | | | | | | | | | | | | | | |            (567), (569), (574), (576), (577), (578), (619),
% 168.64/25.37  | | | | | | | | | | | | | | |            (626), (628), (633), (684), (6411), (6416),
% 168.64/25.37  | | | | | | | | | | | | | | |            (6417), (6440), (6441), (6444), (6453), (6454),
% 168.64/25.37  | | | | | | | | | | | | | | |            (6455), (6457), (6471), (function-axioms) are
% 168.64/25.37  | | | | | | | | | | | | | | |            inconsistent by sub-proof #36.
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | End of split
% 168.64/25.37  | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | Case 2:
% 168.64/25.37  | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | |   (6472)   ~ (all_54_7 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | REDUCE: (462), (6472) imply:
% 168.64/25.37  | | | | | | | | | | | | | |   (6473)   ~ (all_52_13 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 168.64/25.37  | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | Case 1:
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | |   (6474)  all_54_12 = e0
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | COMBINE_EQS: (465), (6474) imply:
% 168.64/25.37  | | | | | | | | | | | | | | |   (6475)  all_52_3 = e0
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | SIMP: (6475) implies:
% 168.64/25.37  | | | | | | | | | | | | | | |   (6476)  all_52_3 = e0
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | COMBINE_EQS: (351), (6476) imply:
% 168.64/25.37  | | | | | | | | | | | | | | |   (6477)  all_56_12 = e0
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | REDUCE: (192), (6476) imply:
% 168.64/25.37  | | | | | | | | | | | | | | |   (6478)   ~ (all_52_1 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | REDUCE: (188), (6476) imply:
% 168.64/25.37  | | | | | | | | | | | | | | |   (6479)   ~ (all_52_2 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | REDUCE: (183), (6476) imply:
% 168.64/25.37  | | | | | | | | | | | | | | |   (6480)   ~ (all_52_11 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | SIMP: (6480) implies:
% 168.64/25.37  | | | | | | | | | | | | | | |   (6481)   ~ (all_52_11 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | REDUCE: (548), (6476) imply:
% 168.64/25.37  | | | | | | | | | | | | | | |   (6482)   ~ (all_6_2 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | SIMP: (6482) implies:
% 168.64/25.37  | | | | | | | | | | | | | | |   (6483)   ~ (all_6_2 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (42), (62),
% 168.64/25.37  | | | | | | | | | | | | | | |            (154), (156), (161), (162), (164), (165), (167),
% 168.64/25.37  | | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 168.64/25.37  | | | | | | | | | | | | | | |            (189), (190), (193), (202), (207), (211), (212),
% 168.64/25.37  | | | | | | | | | | | | | | |            (234), (235), (244), (247), (248), (270), (272),
% 168.64/25.37  | | | | | | | | | | | | | | |            (273), (277), (281), (282), (285), (290), (291),
% 168.64/25.37  | | | | | | | | | | | | | | |            (293), (294), (295), (331), (332), (333), (341),
% 168.64/25.37  | | | | | | | | | | | | | | |            (347), (356), (368), (374), (377), (386), (390),
% 168.64/25.37  | | | | | | | | | | | | | | |            (395), (396), (411), (413), (425), (429), (431),
% 168.64/25.37  | | | | | | | | | | | | | | |            (435), (439), (441), (446), (448), (466), (468),
% 168.64/25.37  | | | | | | | | | | | | | | |            (521), (532), (533), (534), (535), (536), (537),
% 168.64/25.37  | | | | | | | | | | | | | | |            (538), (539), (540), (541), (544), (546), (550),
% 168.64/25.37  | | | | | | | | | | | | | | |            (552), (554), (555), (556), (558), (560), (562),
% 168.64/25.37  | | | | | | | | | | | | | | |            (568), (570), (572), (574), (575), (576), (577),
% 168.64/25.37  | | | | | | | | | | | | | | |            (578), (620), (624), (684), (5110), (6411),
% 168.64/25.37  | | | | | | | | | | | | | | |            (6416), (6417), (6420), (6426), (6441), (6444),
% 168.64/25.37  | | | | | | | | | | | | | | |            (6473), (6477), (6478), (6479), (6481), (6483),
% 168.64/25.37  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.64/25.37  | | | | | | | | | | | | | | |            #34.
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | Case 2:
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | |   (6484)   ~ (all_54_12 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | |   (6485)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | REDUCE: (465), (6484) imply:
% 168.64/25.37  | | | | | | | | | | | | | | |   (6486)   ~ (all_52_3 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 168.64/25.37  | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | Case 1:
% 168.64/25.37  | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | |   (6487)  all_54_11 = e0
% 168.64/25.37  | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (6487) imply:
% 168.64/25.37  | | | | | | | | | | | | | | | |   (6488)  all_52_14 = e0
% 168.64/25.37  | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | | SIMP: (6488) implies:
% 168.64/25.37  | | | | | | | | | | | | | | | |   (6489)  all_52_14 = e0
% 168.64/25.37  | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (6489) imply:
% 168.64/25.37  | | | | | | | | | | | | | | | |   (6490)  all_56_11 = e0
% 168.64/25.37  | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | | COMBINE_EQS: (356), (6489) imply:
% 168.64/25.37  | | | | | | | | | | | | | | | |   (6491)  all_58_30 = e0
% 168.64/25.37  | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | | REDUCE: (156), (6489) imply:
% 168.64/25.37  | | | | | | | | | | | | | | | |   (6492)   ~ (all_52_12 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | | REDUCE: (578), (6489) imply:
% 168.64/25.37  | | | | | | | | | | | | | | | |   (6493)   ~ (all_14_2 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (62), (208), (212),
% 168.64/25.37  | | | | | | | | | | | | | | | |            (270), (272), (331), (341), (374), (390), (439),
% 168.64/25.37  | | | | | | | | | | | | | | | |            (533), (537), (538), (576), (577), (6420), (6426),
% 168.64/25.37  | | | | | | | | | | | | | | | |            (6442), (6444), (6473), (6490), (6491), (6492),
% 168.64/25.37  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.64/25.37  | | | | | | | | | | | | | | | |            #113.
% 168.64/25.37  | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | Case 2:
% 168.64/25.37  | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | |   (6494)   ~ (all_54_11 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | | REDUCE: (463), (6494) imply:
% 168.64/25.37  | | | | | | | | | | | | | | | |   (6495)   ~ (all_52_14 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | | BETA: splitting (6441) gives:
% 168.64/25.37  | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.37  | | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | | |   (6496)  all_56_9 = e0
% 168.64/25.37  | | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (6496) imply:
% 168.64/25.37  | | | | | | | | | | | | | | | | |   (6497)  all_52_12 = e0
% 168.64/25.37  | | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | | | SIMP: (6497) implies:
% 168.64/25.37  | | | | | | | | | | | | | | | | |   (6498)  all_52_12 = e0
% 168.64/25.37  | | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (6498) imply:
% 168.64/25.37  | | | | | | | | | | | | | | | | |   (6499)  all_58_28 = e0
% 168.64/25.37  | | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | | | REDUCE: (177), (6498) imply:
% 168.64/25.37  | | | | | | | | | | | | | | | | |   (6500)   ~ (all_52_4 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | | | REDUCE: (157), (6498) imply:
% 168.64/25.37  | | | | | | | | | | | | | | | | |   (6501)   ~ (all_52_13 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | | | REDUCE: (156), (6498) imply:
% 168.64/25.37  | | | | | | | | | | | | | | | | |   (6502)   ~ (all_52_14 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 168.64/25.37  | | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.37  | | | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | | | |   (6503)  all_56_6 = e0
% 168.64/25.37  | | | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (6503) imply:
% 168.64/25.37  | | | | | | | | | | | | | | | | | |   (6504)  all_52_2 = e0
% 168.64/25.37  | | | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (6504) imply:
% 168.64/25.37  | | | | | | | | | | | | | | | | | |   (6505)  all_58_18 = e0
% 168.64/25.37  | | | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | | | | REDUCE: (193), (6504) imply:
% 168.64/25.37  | | | | | | | | | | | | | | | | | |   (6506)   ~ (all_52_1 = e0)
% 168.64/25.37  | | | | | | | | | | | | | | | | | | 
% 168.64/25.37  | | | | | | | | | | | | | | | | | | REDUCE: (188), (6504) imply:
% 168.64/25.38  | | | | | | | | | | | | | | | | | |   (6507)   ~ (all_52_3 = e0)
% 168.64/25.38  | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | REDUCE: (187), (6504) imply:
% 168.64/25.38  | | | | | | | | | | | | | | | | | |   (6508)   ~ (all_52_6 = e0)
% 168.64/25.38  | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | SIMP: (6508) implies:
% 168.64/25.38  | | | | | | | | | | | | | | | | | |   (6509)   ~ (all_52_6 = e0)
% 168.64/25.38  | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | REDUCE: (546), (6504) imply:
% 168.64/25.38  | | | | | | | | | | | | | | | | | |   (6510)   ~ (all_6_2 = e0)
% 168.64/25.38  | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | SIMP: (6510) implies:
% 168.64/25.38  | | | | | | | | | | | | | | | | | |   (6511)   ~ (all_6_2 = e0)
% 168.64/25.38  | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |   (6512)  all_56_1 = e0
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (6512) imply:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |   (6513)  all_52_4 = e0
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | REDUCE: (6500), (6513) imply:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |   (6514)  $false
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | CLOSE: (6514) is inconsistent.
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |   (6515)   ~ (all_56_1 = e0)
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |   (6516)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (41), (42), (51),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |            (52), (154), (156), (157), (161), (162), (164),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |            (165), (167), (170), (177), (178), (180), (189),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |            (190), (192), (202), (203), (208), (213), (214),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |            (239), (241), (243), (247), (248), (268), (269),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |            (271), (272), (275), (276), (277), (281), (282),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |            (284), (286), (287), (290), (291), (292), (293),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |            (294), (295), (330), (331), (332), (334), (335),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |            (347), (348), (351), (356), (368), (374), (377),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |            (386), (389), (390), (395), (396), (407), (411),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |            (425), (429), (431), (439), (441), (446), (456),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |            (462), (465), (530), (531), (532), (533), (534),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (540), (542),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |            (544), (548), (550), (552), (554), (555), (558),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |            (560), (562), (564), (566), (567), (569), (570),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |            (574), (576), (577), (578), (619), (620), (626),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |            (629), (631), (5110), (6413), (6422), (6441),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |            (6447), (6485), (6486), (6495), (6500), (6503),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |            (6505), (6506), (6509), (6511), (6516),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |            #33.
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.38  | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | |   (6517)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 168.64/25.38  | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | BETA: splitting (6517) gives:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |   (6518)  all_56_7 = e0
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (6518) imply:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |   (6519)  all_52_6 = e0
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | REDUCE: (172), (6519) imply:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |   (6520)   ~ (all_52_7 = e0)
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | SIMP: (6520) implies:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |   (6521)   ~ (all_52_7 = e0)
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | BETA: splitting (6440) gives:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | |   (6522)  all_56_12 = e0
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (6486), (6522) are inconsistent by
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | |            sub-proof #919.
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | |   (6523)  all_56_13 = e0 | all_56_14 = e0
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | BETA: splitting (6523) gives:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | |   (6524)  all_56_13 = e0
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (348), (6521), (6524) are inconsistent by
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | |            sub-proof #942.
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | |   (6525)  all_56_14 = e0
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (6525) imply:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | |   (6526)  all_52_11 = e0
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | SIMP: (6526) implies:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | |   (6527)  all_52_11 = e0
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (6527) imply:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | |   (6528)   ~ (all_52_8 = e0)
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (6527) imply:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | |   (6529)   ~ (all_52_9 = e0)
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (6527) imply:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | |   (6530)   ~ (all_14_2 = e0)
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | REDUCE: (572), (6527) imply:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | |   (6531)   ~ (all_10_2 = e0)
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | |   (6532)  all_56_2 = e0
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (6532) imply:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | |   (6533)  all_52_1 = e0
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (6533) imply:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | |   (6534)  all_58_17 = e0
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (6533) imply:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | |   (6535)   ~ (all_52_3 = e0)
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (6533) imply:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | |   (6536)   ~ (all_6_2 = e0)
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | | SIMP: (6536) implies:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | |   (6537)   ~ (all_6_2 = e0)
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (211), (6533) imply:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | |   (6538)  op(e2, e3) = e0
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (52), (53), (154), (172),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | |            (178), (180), (185), (187), (188), (213), (241),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | |            (246), (247), (267), (270), (279), (286), (291),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | |            (331), (333), (335), (351), (356), (368), (371),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | |            (374), (386), (396), (407), (413), (425), (429),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | |            (439), (441), (446), (451), (462), (530), (533),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | |            (534), (536), (537), (540), (541), (542), (546),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | |            (550), (552), (558), (566), (569), (574), (620),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | |            (626), (6417), (6424), (6426), (6442), (6447),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | |            (6473), (6486), (6495), (6496), (6499), (6517),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | |            (6528), (6532), (6534), (6537), (6538),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | |            #685.
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | |   (6539)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (202), (431), (439), (535), (562), (5110), (6473),
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | |            (6529), (6539), (function-axioms) are inconsistent
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #127.
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |   (6540)  all_56_8 = e0 | all_56_11 = e0
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (534), (6417), (6495), (6540) are
% 168.64/25.38  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #912.
% 168.64/25.38  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.38  | | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | End of split
% 168.64/25.38  | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.38  | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | |   (6541)  all_56_10 = e0 | all_56_11 = e0
% 168.64/25.38  | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | REF_CLOSE: (439), (441), (6473), (6495), (6541) are
% 168.64/25.38  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #414.
% 168.64/25.38  | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | End of split
% 168.64/25.38  | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | End of split
% 168.64/25.38  | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | End of split
% 168.64/25.38  | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | End of split
% 168.64/25.38  | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | End of split
% 168.64/25.38  | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | End of split
% 168.64/25.38  | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | End of split
% 168.64/25.38  | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | Case 2:
% 168.64/25.38  | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | |   (6542)  all_48_2 = e1
% 168.64/25.38  | | | | | | | | | |   (6543)   ~ (all_48_0 = e3) |  ~ (all_48_1 = e2)
% 168.64/25.38  | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | COMBINE_EQS: (478), (6542) imply:
% 168.64/25.38  | | | | | | | | | |   (6544)  all_14_2 = e1
% 168.64/25.38  | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | SIMP: (6544) implies:
% 168.64/25.38  | | | | | | | | | |   (6545)  all_14_2 = e1
% 168.64/25.38  | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | COMBINE_EQS: (525), (6545) imply:
% 168.64/25.38  | | | | | | | | | |   (6546)  all_50_2 = e1
% 168.64/25.38  | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | COMBINE_EQS: (533), (6545) imply:
% 168.64/25.38  | | | | | | | | | |   (6547)  all_56_15 = e1
% 168.64/25.38  | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | COMBINE_EQS: (537), (6545) imply:
% 168.64/25.38  | | | | | | | | | |   (6548)  all_58_31 = e1
% 168.64/25.38  | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | REDUCE: (557), (6545) imply:
% 168.64/25.38  | | | | | | | | | |   (6549)   ~ (all_52_3 = e1)
% 168.64/25.38  | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | REDUCE: (568), (6545) imply:
% 168.64/25.38  | | | | | | | | | |   (6550)   ~ (all_52_7 = e1)
% 168.64/25.38  | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | REDUCE: (575), (6545) imply:
% 168.64/25.38  | | | | | | | | | |   (6551)   ~ (all_52_11 = e1)
% 168.64/25.38  | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | REDUCE: (576), (6545) imply:
% 168.64/25.38  | | | | | | | | | |   (6552)   ~ (all_52_12 = e1)
% 168.64/25.38  | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | REDUCE: (577), (6545) imply:
% 168.64/25.38  | | | | | | | | | |   (6553)   ~ (all_52_13 = e1)
% 168.64/25.38  | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | REDUCE: (578), (6545) imply:
% 168.64/25.38  | | | | | | | | | |   (6554)   ~ (all_52_14 = e1)
% 168.64/25.38  | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | REDUCE: (63), (6545) imply:
% 168.64/25.38  | | | | | | | | | |   (6555)  op(all_14_1, e1) = all_14_0
% 168.64/25.38  | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | REDUCE: (62), (6545) imply:
% 168.64/25.38  | | | | | | | | | |   (6556)  op(e1, e0) = all_14_1
% 168.64/25.38  | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | REDUCE: (634), (6545) imply:
% 168.64/25.38  | | | | | | | | | |   (6557)  op(e0, e1) = all_58_15
% 168.64/25.38  | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 168.64/25.38  | | | | | | | | | |              all_58_15, e1, e0, simplifying with (201), (6557)
% 168.64/25.38  | | | | | | | | | |              gives:
% 168.64/25.38  | | | | | | | | | |   (6558)  all_58_15 = all_52_11
% 168.64/25.38  | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 168.64/25.38  | | | | | | | | | |              all_14_1, e0, e1, simplifying with (204), (6556)
% 168.64/25.38  | | | | | | | | | |              gives:
% 168.64/25.38  | | | | | | | | | |   (6559)  all_52_14 = all_14_1
% 168.64/25.38  | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | COMBINE_EQS: (463), (6559) imply:
% 168.64/25.38  | | | | | | | | | |   (6560)  all_54_11 = all_14_1
% 168.64/25.38  | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | COMBINE_EQS: (441), (6559) imply:
% 168.64/25.38  | | | | | | | | | |   (6561)  all_56_11 = all_14_1
% 168.64/25.38  | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | COMBINE_EQS: (356), (6559) imply:
% 168.64/25.38  | | | | | | | | | |   (6562)  all_58_30 = all_14_1
% 168.64/25.38  | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | REDUCE: (185), (6559) imply:
% 168.64/25.38  | | | | | | | | | |   (6563)   ~ (all_52_2 = all_14_1)
% 168.64/25.38  | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | REDUCE: (170), (6559) imply:
% 168.64/25.38  | | | | | | | | | |   (6564)   ~ (all_52_6 = all_14_1)
% 168.64/25.38  | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | REDUCE: (156), (6559) imply:
% 168.64/25.38  | | | | | | | | | |   (6565)   ~ (all_52_12 = all_14_1)
% 168.64/25.38  | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | REDUCE: (154), (6559) imply:
% 168.64/25.38  | | | | | | | | | |   (6566)   ~ (all_52_13 = all_14_1)
% 168.64/25.38  | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | REDUCE: (574), (6559) imply:
% 168.64/25.38  | | | | | | | | | |   (6567)   ~ (all_14_1 = all_10_2)
% 168.64/25.38  | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | BETA: splitting (150) gives:
% 168.64/25.38  | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | Case 1:
% 168.64/25.38  | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | |   (6568)   ~ (all_50_2 = e1)
% 168.64/25.38  | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | REDUCE: (6546), (6568) imply:
% 168.64/25.38  | | | | | | | | | | |   (6569)  $false
% 168.64/25.38  | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | CLOSE: (6569) is inconsistent.
% 168.64/25.38  | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | Case 2:
% 168.64/25.38  | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | |   (6570)   ~ (all_50_0 = e2) |  ~ (all_50_1 = e3)
% 168.64/25.38  | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | BETA: splitting (238) gives:
% 168.64/25.38  | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | Case 1:
% 168.64/25.38  | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | |   (6571)  all_54_10 = e0
% 168.64/25.38  | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | COMBINE_EQS: (530), (6571) imply:
% 168.64/25.38  | | | | | | | | | | | |   (6572)  all_10_2 = e0
% 168.64/25.38  | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | REDUCE: (6417), (6572) imply:
% 168.64/25.38  | | | | | | | | | | | |   (6573)  $false
% 168.64/25.38  | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | CLOSE: (6573) is inconsistent.
% 168.64/25.38  | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | Case 2:
% 168.64/25.38  | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | |   (6574)   ~ (all_54_10 = e0)
% 168.64/25.38  | | | | | | | | | | | |   (6575)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 168.64/25.38  | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | BETA: splitting (241) gives:
% 168.64/25.38  | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | Case 1:
% 168.64/25.38  | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | |   (6576)  all_54_7 = e0
% 168.64/25.38  | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | COMBINE_EQS: (462), (6576) imply:
% 168.64/25.38  | | | | | | | | | | | | |   (6577)  all_52_13 = e0
% 168.64/25.38  | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | COMBINE_EQS: (439), (6577) imply:
% 168.64/25.38  | | | | | | | | | | | | |   (6578)  all_56_10 = e0
% 168.64/25.38  | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | COMBINE_EQS: (374), (6577) imply:
% 168.64/25.38  | | | | | | | | | | | | |   (6579)  all_58_29 = e0
% 168.64/25.38  | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | REDUCE: (161), (6577) imply:
% 168.64/25.38  | | | | | | | | | | | | |   (6580)   ~ (all_52_9 = e0)
% 168.64/25.38  | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | REDUCE: (157), (6577) imply:
% 168.64/25.38  | | | | | | | | | | | | |   (6581)   ~ (all_52_12 = e0)
% 168.64/25.38  | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | REDUCE: (6566), (6577) imply:
% 168.64/25.38  | | | | | | | | | | | | |   (6582)   ~ (all_14_1 = e0)
% 168.64/25.38  | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | SIMP: (6582) implies:
% 168.64/25.38  | | | | | | | | | | | | |   (6583)   ~ (all_14_1 = e0)
% 168.64/25.38  | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | REDUCE: (566), (6577) imply:
% 168.64/25.38  | | | | | | | | | | | | |   (6584)   ~ (all_4_2 = e0)
% 168.64/25.38  | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | SIMP: (6584) implies:
% 168.64/25.38  | | | | | | | | | | | | |   (6585)   ~ (all_4_2 = e0)
% 168.64/25.38  | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | REDUCE: (6553), (6577) imply:
% 168.64/25.38  | | | | | | | | | | | | |   (6586)   ~ (e1 = e0)
% 168.64/25.38  | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | REF_CLOSE: (4), (5), (42), (157), (162), (164), (165), (167),
% 168.64/25.38  | | | | | | | | | | | | |            (169), (172), (177), (178), (180), (183), (184),
% 168.64/25.38  | | | | | | | | | | | | |            (185), (187), (189), (190), (192), (193), (207),
% 168.64/25.38  | | | | | | | | | | | | |            (209), (211), (234), (237), (239), (240), (242),
% 168.64/25.38  | | | | | | | | | | | | |            (244), (246), (247), (248), (274), (277), (278),
% 168.64/25.38  | | | | | | | | | | | | |            (280), (281), (282), (284), (285), (286), (291),
% 168.64/25.38  | | | | | | | | | | | | |            (293), (295), (331), (332), (333), (335), (347),
% 168.64/25.38  | | | | | | | | | | | | |            (348), (351), (356), (368), (371), (374), (377),
% 168.64/25.38  | | | | | | | | | | | | |            (386), (389), (395), (396), (407), (411), (413),
% 168.64/25.38  | | | | | | | | | | | | |            (425), (429), (431), (435), (439), (446), (448),
% 168.64/25.38  | | | | | | | | | | | | |            (451), (453), (455), (456), (468), (521), (530),
% 168.64/25.38  | | | | | | | | | | | | |            (532), (534), (535), (536), (537), (538), (539),
% 168.64/25.38  | | | | | | | | | | | | |            (540), (541), (542), (544), (546), (548), (550),
% 168.64/25.38  | | | | | | | | | | | | |            (552), (554), (555), (556), (558), (560), (564),
% 168.64/25.38  | | | | | | | | | | | | |            (566), (567), (569), (570), (572), (574), (577),
% 168.64/25.38  | | | | | | | | | | | | |            (684), (691), (729), (6411), (6416), (6417),
% 168.64/25.38  | | | | | | | | | | | | |            (6418), (6420), (6543), (6548), (6549), (6550),
% 168.64/25.38  | | | | | | | | | | | | |            (6551), (6555), (6560), (6562), (6563), (6564),
% 168.64/25.38  | | | | | | | | | | | | |            (6565), (6575), (6578), (6579), (6580), (6581),
% 168.64/25.38  | | | | | | | | | | | | |            (6583), (6585), (function-axioms) are inconsistent
% 168.64/25.38  | | | | | | | | | | | | |            by sub-proof #26.
% 168.64/25.38  | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | Case 2:
% 168.64/25.38  | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | |   (6587)   ~ (all_54_7 = e0)
% 168.64/25.38  | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | REDUCE: (462), (6587) imply:
% 168.64/25.38  | | | | | | | | | | | | |   (6588)   ~ (all_52_13 = e0)
% 168.64/25.38  | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | BETA: splitting (236) gives:
% 168.64/25.38  | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | Case 1:
% 168.64/25.38  | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | |   (6589)  all_54_12 = e0
% 168.64/25.38  | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | COMBINE_EQS: (465), (6589) imply:
% 168.64/25.38  | | | | | | | | | | | | | |   (6590)  all_52_3 = e0
% 168.64/25.38  | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (42), (154), (156),
% 168.64/25.38  | | | | | | | | | | | | | |            (162), (164), (165), (167), (169), (170), (172),
% 168.64/25.38  | | | | | | | | | | | | | |            (178), (179), (180), (183), (188), (189), (190),
% 168.64/25.38  | | | | | | | | | | | | | |            (192), (193), (201), (202), (207), (211), (234),
% 168.64/25.38  | | | | | | | | | | | | | |            (235), (244), (247), (248), (270), (273), (277),
% 168.64/25.38  | | | | | | | | | | | | | |            (281), (282), (285), (290), (291), (292), (293),
% 168.64/25.38  | | | | | | | | | | | | | |            (294), (295), (331), (332), (333), (347), (351),
% 168.64/25.38  | | | | | | | | | | | | | |            (356), (368), (374), (377), (386), (390), (395),
% 168.64/25.38  | | | | | | | | | | | | | |            (396), (411), (413), (425), (429), (431), (435),
% 168.64/25.38  | | | | | | | | | | | | | |            (439), (441), (446), (448), (466), (468), (521),
% 168.64/25.38  | | | | | | | | | | | | | |            (532), (533), (534), (535), (536), (537), (538),
% 168.64/25.38  | | | | | | | | | | | | | |            (539), (540), (541), (544), (546), (548), (550),
% 168.64/25.38  | | | | | | | | | | | | | |            (552), (554), (555), (556), (558), (560), (562),
% 168.64/25.38  | | | | | | | | | | | | | |            (568), (569), (570), (572), (574), (576), (684),
% 168.64/25.38  | | | | | | | | | | | | | |            (5110), (6411), (6416), (6417), (6420), (6549),
% 168.64/25.38  | | | | | | | | | | | | | |            (6552), (6553), (6555), (6561), (6588), (6590),
% 168.64/25.38  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.64/25.38  | | | | | | | | | | | | | |            #25.
% 168.64/25.38  | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | Case 2:
% 168.64/25.38  | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | |   (6591)   ~ (all_54_12 = e0)
% 168.64/25.38  | | | | | | | | | | | | | |   (6592)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 168.64/25.38  | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | REDUCE: (465), (6591) imply:
% 168.64/25.38  | | | | | | | | | | | | | |   (6593)   ~ (all_52_3 = e0)
% 168.64/25.38  | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 168.64/25.38  | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | Case 1:
% 168.64/25.38  | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | |   (6594)  all_54_3 = e0
% 168.64/25.38  | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (154), (157), (161), (164), (167),
% 168.64/25.38  | | | | | | | | | | | | | | |            (172), (178), (180), (187), (188), (189), (192),
% 168.64/25.38  | | | | | | | | | | | | | | |            (193), (213), (239), (242), (246), (248), (269),
% 168.64/25.38  | | | | | | | | | | | | | | |            (272), (273), (281), (282), (284), (286), (289),
% 168.64/25.38  | | | | | | | | | | | | | | |            (292), (294), (331), (333), (334), (335), (351),
% 168.64/25.38  | | | | | | | | | | | | | | |            (356), (368), (371), (374), (377), (386), (389),
% 168.64/25.38  | | | | | | | | | | | | | | |            (390), (395), (396), (407), (411), (413), (425),
% 168.64/25.38  | | | | | | | | | | | | | | |            (429), (431), (439), (451), (453), (456), (460),
% 168.64/25.38  | | | | | | | | | | | | | | |            (465), (530), (532), (535), (536), (538), (539),
% 168.64/25.38  | | | | | | | | | | | | | | |            (540), (541), (542), (544), (546), (548), (550),
% 168.64/25.38  | | | | | | | | | | | | | | |            (552), (554), (556), (558), (560), (566), (567),
% 168.64/25.38  | | | | | | | | | | | | | | |            (569), (570), (692), (769), (6418), (6420),
% 168.64/25.38  | | | | | | | | | | | | | | |            (6547), (6548), (6552), (6553), (6555), (6561),
% 168.64/25.38  | | | | | | | | | | | | | | |            (6562), (6563), (6564), (6570), (6575), (6592),
% 168.64/25.38  | | | | | | | | | | | | | | |            (6593), (6594), (function-axioms) are inconsistent
% 168.64/25.38  | | | | | | | | | | | | | | |            by sub-proof #15.
% 168.64/25.38  | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | Case 2:
% 168.64/25.38  | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | |   (6595)   ~ (all_54_3 = e0)
% 168.64/25.38  | | | | | | | | | | | | | | |   (6596)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 168.64/25.38  | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | REDUCE: (460), (6595) imply:
% 168.64/25.38  | | | | | | | | | | | | | | |   (6597)   ~ (all_52_12 = e0)
% 168.64/25.38  | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | BETA: splitting (266) gives:
% 168.64/25.38  | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | Case 1:
% 168.64/25.38  | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | |   (6598)  all_56_15 = e0
% 168.64/25.38  | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6547), (6598) are inconsistent by sub-proof
% 168.64/25.38  | | | | | | | | | | | | | | | |            #657.
% 168.64/25.38  | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | Case 2:
% 168.64/25.38  | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | |   (6599)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 168.64/25.38  | | | | | | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 168.64/25.38  | | | | | | | | | | | | | | | |             e0)
% 168.64/25.38  | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | ALPHA: (6599) implies:
% 168.64/25.38  | | | | | | | | | | | | | | | |   (6600)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 168.64/25.38  | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | BETA: splitting (6600) gives:
% 168.64/25.38  | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.38  | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | |   (6601)  all_56_9 = e0
% 168.64/25.38  | | | | | | | | | | | | | | | | | 
% 168.64/25.38  | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (6601) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | |   (6602)  all_52_12 = e0
% 168.64/25.39  | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | REDUCE: (6597), (6602) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | |   (6603)  $false
% 168.64/25.39  | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | CLOSE: (6603) is inconsistent.
% 168.64/25.39  | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.39  | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | |   (6604)  all_56_10 = e0 | all_56_11 = e0
% 168.64/25.39  | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | BETA: splitting (6604) gives:
% 168.64/25.39  | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | |   (6605)  all_56_10 = e0
% 168.64/25.39  | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | REF_CLOSE: (439), (6588), (6605) are inconsistent by
% 168.64/25.39  | | | | | | | | | | | | | | | | | |            sub-proof #943.
% 168.64/25.39  | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | |   (6606)  all_56_11 = e0
% 168.64/25.39  | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6561), (6606) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | |   (6607)  all_14_1 = e0
% 168.64/25.39  | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | SIMP: (6607) implies:
% 168.64/25.39  | | | | | | | | | | | | | | | | | |   (6608)  all_14_1 = e0
% 168.64/25.39  | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6562), (6608) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | |   (6609)  all_58_30 = e0
% 168.64/25.39  | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | REDUCE: (6563), (6608) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | |   (6610)   ~ (all_52_2 = e0)
% 168.64/25.39  | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | REDUCE: (6567), (6608) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | |   (6611)   ~ (all_10_2 = e0)
% 168.64/25.39  | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | REDUCE: (6420), (6608) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | |   (6612)   ~ (e1 = e0)
% 168.64/25.39  | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | REDUCE: (6555), (6608) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | |   (6613)  op(e0, e1) = all_14_0
% 168.64/25.39  | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 168.64/25.39  | | | | | | | | | | | | | | | | | |              all_14_0, e1, e0, simplifying with (201), (6613)
% 168.64/25.39  | | | | | | | | | | | | | | | | | |              gives:
% 168.64/25.39  | | | | | | | | | | | | | | | | | |   (6614)  all_52_11 = all_14_0
% 168.64/25.39  | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (468), (6614) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | |   (6615)  all_54_14 = all_14_0
% 168.64/25.39  | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (6614) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | |   (6616)  all_58_27 = all_14_0
% 168.64/25.39  | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | REDUCE: (183), (6614) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | |   (6617)   ~ (all_52_3 = all_14_0)
% 168.64/25.39  | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | REDUCE: (165), (6614) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | |   (6618)   ~ (all_52_8 = all_14_0)
% 168.64/25.39  | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | REDUCE: (162), (6614) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | |   (6619)   ~ (all_52_9 = all_14_0)
% 168.64/25.39  | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | REDUCE: (572), (6614) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | |   (6620)   ~ (all_14_0 = all_10_2)
% 168.64/25.39  | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |   (6621)  all_56_0 = e0
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (6621) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |   (6622)  all_6_2 = e0
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (6622) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |   (6623)  all_58_16 = e0
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | REDUCE: (544), (6622) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |   (6624)   ~ (all_52_1 = e0)
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | REDUCE: (552), (6622) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |   (6625)   ~ (all_52_8 = e0)
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | REDUCE: (6413), (6622) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |   (6626)  op(all_6_1, e0) = e0
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | REDUCE: (42), (6622) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |   (6627)  op(e0, e3) = all_6_1
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | REDUCE: (619), (6622) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |   (6628)  op(e3, e0) = all_58_0
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (192), (202), (203), (212), (234), (269), (277),
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |            (281), (291), (332), (335), (351), (371), (377),
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |            (389), (395), (411), (413), (429), (431), (439),
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |            (465), (535), (539), (542), (556), (562), (5110),
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |            (6417), (6418), (6549), (6588), (6592), (6593),
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |            (6597), (6615), (6616), (6617), (6618), (6619),
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |            (6620), (6621), (6623), (6624), (6625), (6626),
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |            (6627), (6628), (function-axioms) are inconsistent
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |            by sub-proof #13.
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |   (6629)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (52), (157), (164),
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |            (179), (187), (188), (192), (193), (213), (272),
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |            (277), (285), (286), (290), (291), (292), (331),
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |            (332), (333), (335), (348), (351), (368), (371),
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |            (374), (377), (386), (389), (390), (395), (396),
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |            (407), (411), (413), (425), (429), (460), (530),
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |            (535), (536), (538), (539), (540), (541), (542),
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |            (544), (546), (554), (556), (570), (620), (6422),
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |            (6548), (6549), (6550), (6552), (6575), (6593),
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |            (6596), (6597), (6609), (6610), (6616), (6618),
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |            (6629), (function-axioms) are inconsistent by
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |            sub-proof #11.
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.39  | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | End of split
% 168.64/25.39  | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | End of split
% 168.64/25.39  | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | End of split
% 168.64/25.39  | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | End of split
% 168.64/25.39  | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | End of split
% 168.64/25.39  | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | End of split
% 168.64/25.39  | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | End of split
% 168.64/25.39  | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | End of split
% 168.64/25.39  | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | End of split
% 168.64/25.39  | | | | | | | | | 
% 168.64/25.39  | | | | | | | | Case 2:
% 168.64/25.39  | | | | | | | | | 
% 168.64/25.39  | | | | | | | | |   (6630)  all_22_0 = e0
% 168.64/25.39  | | | | | | | | |   (6631)   ~ (all_22_1 = e2) |  ~ (all_22_2 = e3)
% 168.64/25.39  | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | COMBINE_EQS: (723), (6630) imply:
% 168.64/25.39  | | | | | | | | |   (6632)  all_10_0 = e0
% 168.64/25.39  | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | SIMP: (6632) implies:
% 168.64/25.39  | | | | | | | | |   (6633)  all_10_0 = e0
% 168.64/25.39  | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | COMBINE_EQS: (768), (6633) imply:
% 168.64/25.39  | | | | | | | | |   (6634)  all_38_0 = e0
% 168.64/25.39  | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | REDUCE: (53), (6633) imply:
% 168.64/25.39  | | | | | | | | |   (6635)  op(all_10_1, all_10_2) = e0
% 168.64/25.39  | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | BETA: splitting (121) gives:
% 168.64/25.39  | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | Case 1:
% 168.64/25.39  | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | |   (6636)   ~ (all_38_0 = e0)
% 168.64/25.39  | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | REDUCE: (6634), (6636) imply:
% 168.64/25.39  | | | | | | | | | |   (6637)  $false
% 168.64/25.39  | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | CLOSE: (6637) is inconsistent.
% 168.64/25.39  | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | Case 2:
% 168.64/25.39  | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | |   (6638)   ~ (all_38_1 = e3) |  ~ (all_38_2 = e2)
% 168.64/25.39  | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | BETA: splitting (145) gives:
% 168.64/25.39  | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | Case 1:
% 168.64/25.39  | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | |   (6639)   ~ (all_48_2 = e1)
% 168.64/25.39  | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | REDUCE: (478), (6639) imply:
% 168.64/25.39  | | | | | | | | | | |   (6640)   ~ (all_14_2 = e1)
% 168.64/25.39  | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | BETA: splitting (266) gives:
% 168.64/25.39  | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | Case 1:
% 168.64/25.39  | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | |   (6641)  all_56_15 = e0
% 168.64/25.39  | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | COMBINE_EQS: (533), (6641) imply:
% 168.64/25.39  | | | | | | | | | | | |   (6642)  all_14_2 = e0
% 168.64/25.39  | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | SIMP: (6642) implies:
% 168.64/25.39  | | | | | | | | | | | |   (6643)  all_14_2 = e0
% 168.64/25.39  | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | REDUCE: (568), (6643) imply:
% 168.64/25.39  | | | | | | | | | | | |   (6644)   ~ (all_52_7 = e0)
% 168.64/25.39  | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | REDUCE: (575), (6643) imply:
% 168.64/25.39  | | | | | | | | | | | |   (6645)   ~ (all_52_11 = e0)
% 168.64/25.39  | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | REDUCE: (576), (6643) imply:
% 168.64/25.39  | | | | | | | | | | | |   (6646)   ~ (all_52_12 = e0)
% 168.64/25.39  | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | REDUCE: (577), (6643) imply:
% 168.64/25.39  | | | | | | | | | | | |   (6647)   ~ (all_52_13 = e0)
% 168.64/25.39  | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | REDUCE: (578), (6643) imply:
% 168.64/25.39  | | | | | | | | | | | |   (6648)   ~ (all_52_14 = e0)
% 168.64/25.39  | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | REDUCE: (63), (6643) imply:
% 168.64/25.39  | | | | | | | | | | | |   (6649)  op(all_14_1, e0) = all_14_0
% 168.64/25.39  | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | REDUCE: (62), (6643) imply:
% 168.64/25.39  | | | | | | | | | | | |   (6650)  op(e0, e0) = all_14_1
% 168.64/25.39  | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | REDUCE: (634), (6643) imply:
% 168.64/25.39  | | | | | | | | | | | |   (6651)  op(e0, e0) = all_58_15
% 168.64/25.39  | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | REDUCE: (61), (6643) imply:
% 168.64/25.39  | | | | | | | | | | | |   (6652)  op(e0, e0) = e0
% 168.64/25.39  | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1,
% 168.64/25.39  | | | | | | | | | | | |              all_58_15, e0, e0, simplifying with (6650), (6651)
% 168.64/25.39  | | | | | | | | | | | |              gives:
% 168.64/25.39  | | | | | | | | | | | |   (6653)  all_58_15 = all_14_1
% 168.64/25.39  | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 168.64/25.39  | | | | | | | | | | | |              all_58_15, e0, e0, simplifying with (6651), (6652)
% 168.64/25.39  | | | | | | | | | | | |              gives:
% 168.64/25.39  | | | | | | | | | | | |   (6654)  all_58_15 = e0
% 168.64/25.39  | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | COMBINE_EQS: (6653), (6654) imply:
% 168.64/25.39  | | | | | | | | | | | |   (6655)  all_14_1 = e0
% 168.64/25.39  | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | SIMP: (6655) implies:
% 168.64/25.39  | | | | | | | | | | | |   (6656)  all_14_1 = e0
% 168.64/25.39  | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | REDUCE: (6649), (6656) imply:
% 168.64/25.39  | | | | | | | | | | | |   (6657)  op(e0, e0) = all_14_0
% 168.64/25.39  | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_14_0,
% 168.64/25.39  | | | | | | | | | | | |              e0, e0, simplifying with (6652), (6657) gives:
% 168.64/25.39  | | | | | | | | | | | |   (6658)  all_14_0 = e0
% 168.64/25.39  | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | REDUCE: (6418), (6658) imply:
% 168.64/25.39  | | | | | | | | | | | |   (6659)   ~ (e1 = e0)
% 168.64/25.39  | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | BETA: splitting (273) gives:
% 168.64/25.39  | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | Case 1:
% 168.64/25.39  | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | |   (6660)  all_56_6 = e0
% 168.64/25.39  | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | COMBINE_EQS: (413), (6660) imply:
% 168.64/25.39  | | | | | | | | | | | | |   (6661)  all_52_2 = e0
% 168.64/25.39  | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | COMBINE_EQS: (371), (6661) imply:
% 168.64/25.39  | | | | | | | | | | | | |   (6662)  all_58_18 = e0
% 168.64/25.39  | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | REDUCE: (193), (6661) imply:
% 168.64/25.39  | | | | | | | | | | | | |   (6663)   ~ (all_52_1 = e0)
% 168.64/25.39  | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | REDUCE: (188), (6661) imply:
% 168.64/25.39  | | | | | | | | | | | | |   (6664)   ~ (all_52_3 = e0)
% 168.64/25.39  | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | SIMP: (6664) implies:
% 168.64/25.39  | | | | | | | | | | | | |   (6665)   ~ (all_52_3 = e0)
% 168.64/25.39  | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | REDUCE: (187), (6661) imply:
% 168.64/25.39  | | | | | | | | | | | | |   (6666)   ~ (all_52_6 = e0)
% 168.64/25.39  | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | SIMP: (6666) implies:
% 168.64/25.39  | | | | | | | | | | | | |   (6667)   ~ (all_52_6 = e0)
% 168.64/25.39  | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | REDUCE: (185), (6661) imply:
% 168.64/25.39  | | | | | | | | | | | | |   (6668)   ~ (all_52_14 = e0)
% 168.64/25.39  | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | REDUCE: (556), (6661) imply:
% 168.64/25.39  | | | | | | | | | | | | |   (6669)   ~ (all_10_2 = e0)
% 168.64/25.39  | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | REDUCE: (627), (6661) imply:
% 168.64/25.39  | | | | | | | | | | | | |   (6670)  op(e1, e0) = all_58_8
% 168.64/25.39  | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 168.64/25.39  | | | | | | | | | | | | |              all_58_8, e0, e1, simplifying with (204), (6670)
% 168.64/25.39  | | | | | | | | | | | | |              gives:
% 168.64/25.39  | | | | | | | | | | | | |   (6671)  all_58_8 = all_52_14
% 168.64/25.39  | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | BETA: splitting (277) gives:
% 168.64/25.39  | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | Case 1:
% 168.64/25.39  | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | |   (6672)  all_56_4 = e0
% 168.64/25.39  | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | REF_CLOSE: (167), (202), (281), (411), (429), (431), (439),
% 168.64/25.39  | | | | | | | | | | | | | |            (535), (562), (5110), (6647), (6663), (6672),
% 168.64/25.39  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.64/25.39  | | | | | | | | | | | | | |            #125.
% 168.64/25.39  | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | Case 2:
% 168.64/25.39  | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | |   (6673)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 168.64/25.39  | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | BETA: splitting (6673) gives:
% 168.64/25.39  | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | Case 1:
% 168.64/25.39  | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | |   (6674)  all_56_5 = e0
% 168.64/25.39  | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | COMBINE_EQS: (431), (6674) imply:
% 168.64/25.39  | | | | | | | | | | | | | | |   (6675)  all_52_9 = e0
% 168.64/25.39  | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | COMBINE_EQS: (377), (6675) imply:
% 168.64/25.39  | | | | | | | | | | | | | | |   (6676)  all_58_25 = e0
% 168.64/25.39  | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | REDUCE: (162), (6675) imply:
% 168.64/25.39  | | | | | | | | | | | | | | |   (6677)   ~ (all_52_11 = e0)
% 168.64/25.39  | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | REDUCE: (564), (6675) imply:
% 168.64/25.39  | | | | | | | | | | | | | | |   (6678)   ~ (all_4_2 = e0)
% 168.64/25.39  | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | SIMP: (6678) implies:
% 168.64/25.39  | | | | | | | | | | | | | | |   (6679)   ~ (all_4_2 = e0)
% 168.64/25.39  | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | REDUCE: (625), (6675) imply:
% 168.64/25.39  | | | | | | | | | | | | | | |   (6680)  op(e2, e0) = all_58_6
% 168.64/25.39  | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 168.64/25.39  | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | Case 1:
% 168.64/25.39  | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | |   (6681)  all_56_1 = e0
% 168.64/25.39  | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (6681) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | |   (6682)  all_52_4 = e0
% 168.64/25.39  | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (6682) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | |   (6683)  all_58_20 = e0
% 168.64/25.39  | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | REDUCE: (179), (6682) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | |   (6684)   ~ (all_52_7 = e0)
% 168.64/25.39  | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | REDUCE: (550), (6682) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | |   (6685)   ~ (all_6_2 = e0)
% 168.64/25.39  | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | SIMP: (6685) implies:
% 168.64/25.39  | | | | | | | | | | | | | | | |   (6686)   ~ (all_6_2 = e0)
% 168.64/25.39  | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | REDUCE: (620), (6682) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | |   (6687)  op(e3, e0) = all_58_1
% 168.64/25.39  | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 168.64/25.39  | | | | | | | | | | | | | | | |              all_58_6, e0, e2, simplifying with (208), (6680)
% 168.64/25.39  | | | | | | | | | | | | | | | |              gives:
% 168.64/25.39  | | | | | | | | | | | | | | | |   (6688)  all_58_6 = all_52_13
% 168.64/25.39  | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 168.64/25.39  | | | | | | | | | | | | | | | |              all_58_1, e0, e3, simplifying with (212), (6687)
% 168.64/25.39  | | | | | | | | | | | | | | | |              gives:
% 168.64/25.39  | | | | | | | | | | | | | | | |   (6689)  all_58_1 = all_52_12
% 168.64/25.39  | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 168.64/25.39  | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.39  | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | |   (6690)  all_54_11 = e0
% 168.64/25.39  | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (6648), (6690) are inconsistent by
% 168.64/25.39  | | | | | | | | | | | | | | | | |            sub-proof #558.
% 168.64/25.39  | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.39  | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | |   (6691)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 168.64/25.39  | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 168.64/25.39  | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | |   (6692)  all_54_0 = e0
% 168.64/25.39  | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | REF_CLOSE: (532), (6686), (6692) are inconsistent by
% 168.64/25.39  | | | | | | | | | | | | | | | | | |            sub-proof #984.
% 168.64/25.39  | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | |   (6693)   ~ (all_54_0 = e0)
% 168.64/25.39  | | | | | | | | | | | | | | | | | |   (6694)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 168.64/25.39  | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |   (6695)  all_54_9 = e0
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (6695) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |   (6696)  all_52_6 = e0
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | REDUCE: (6667), (6696) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |   (6697)  $false
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | CLOSE: (6697) is inconsistent.
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | |   (6698)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | |   (6699)  all_58_19 = e0
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (6699) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | |   (6700)  all_52_3 = e0
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | REDUCE: (6665), (6700) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | |   (6701)  $false
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | CLOSE: (6701) is inconsistent.
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | |   (6702)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | |   (6703)  all_58_27 = e0
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (347), (6645), (6703) are inconsistent by
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | |            sub-proof #663.
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | |   (6704)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | |   (6705)  all_58_23 = e0
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (6705) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | |   (6706)  all_52_7 = e0
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6644), (6706) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | |   (6707)  $false
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6707) is inconsistent.
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | |   (6708)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (6709)  all_56_0 = e1
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (6709) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (6710)  all_6_2 = e1
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6710) implies:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (6711)  all_6_2 = e1
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (6711) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (6712)  all_58_16 = e1
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (6711) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (6713)   ~ (all_52_1 = e1)
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (6711) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (6714)   ~ (all_52_8 = e1)
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (6711) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (6715)   ~ (all_52_12 = e1)
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6702) gives:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | |   (6716)  all_58_18 = e1
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6662), (6716) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | |   (6717)  e1 = e0
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (6717) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | |   (6718)  $false
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6718) is inconsistent.
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | |   (6719)  all_58_16 = e3 | all_58_17 = e2
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6719) gives:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | |   (6720)  all_58_17 = e2
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (6720) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | |   (6721)  all_52_1 = e2
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (555), (6721) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | |   (6722)   ~ (all_4_2 = e2)
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6722) implies:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | |   (6723)   ~ (all_4_2 = e2)
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6708) gives:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6724)  all_58_22 = e1
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (368), (6724) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6725)  all_52_6 = e1
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (6725) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6726)   ~ (all_52_14 = e1)
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6726) implies:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6727)   ~ (all_52_14 = e1)
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (567), (6725) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6728)   ~ (all_10_2 = e1)
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6728) implies:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6729)   ~ (all_10_2 = e1)
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6730)  all_56_9 = e1
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (6730) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6731)  all_52_12 = e1
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6715), (6731) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6732)  $false
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6732) is inconsistent.
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6733)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (154), (156), (271), (294),
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (330), (390), (395), (429), (439), (441), (463),
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (533), (539), (6640), (6654), (6671), (6676),
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6681), (6688), (6689), (6691), (6704), (6709),
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6712), (6714), (6719), (6720), (6727), (6729),
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6733) are inconsistent by sub-proof #124.
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6734)  all_58_20 = e3 | all_58_21 = e2
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (386), (6683), (6723), (6734) are
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #974.
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | |   (6735)  all_58_16 = e3
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6712), (6735) are inconsistent by sub-proof
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | |            #970.
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (6736)   ~ (all_56_0 = e1)
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (6736) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | |   (6737)   ~ (all_6_2 = e1)
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (296) gives:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | |   (6738)  all_56_0 = e3
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (6738) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | |   (6739)  all_6_2 = e3
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6739) implies:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | |   (6740)  all_6_2 = e3
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (6740) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | |   (6741)   ~ (all_52_8 = e3)
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (51), (52), (395), (456), (539), (567),
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | |            (629), (6422), (6635), (6676), (6698), (6704),
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | |            (6741), (function-axioms) are inconsistent by
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #480.
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | |   (6742)   ~ (all_56_0 = e3)
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (6742) imply:
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | |   (6743)   ~ (all_6_2 = e3)
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (389), (407), (532), (544), (6662), (6694),
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | |            (6702), (6737), (6743) are inconsistent by
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #67.
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.39  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.39  | | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | | End of split
% 168.64/25.39  | | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | End of split
% 168.64/25.39  | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | Case 2:
% 168.64/25.39  | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | |   (6744)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 168.64/25.39  | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | | REF_CLOSE: (348), (425), (535), (6644), (6667), (6679),
% 168.64/25.39  | | | | | | | | | | | | | | | |            (6744) are inconsistent by sub-proof #940.
% 168.64/25.39  | | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | End of split
% 168.64/25.39  | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | Case 2:
% 168.64/25.39  | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | |   (6745)  all_56_8 = e0 | all_56_14 = e0
% 168.64/25.39  | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | | REF_CLOSE: (435), (534), (6417), (6645), (6745) are
% 168.64/25.39  | | | | | | | | | | | | | | |            inconsistent by sub-proof #914.
% 168.64/25.39  | | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | | End of split
% 168.64/25.39  | | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | | End of split
% 168.64/25.39  | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | Case 2:
% 168.64/25.39  | | | | | | | | | | | | | 
% 168.64/25.39  | | | | | | | | | | | | |   (6746)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 168.64/25.39  | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (41), (42),
% 168.64/25.40  | | | | | | | | | | | | |            (51), (52), (156), (157), (162), (164), (165),
% 168.64/25.40  | | | | | | | | | | | | |            (167), (170), (172), (177), (178), (180), (183),
% 168.64/25.40  | | | | | | | | | | | | |            (185), (188), (190), (192), (193), (203), (204),
% 168.64/25.40  | | | | | | | | | | | | |            (208), (212), (234), (236), (237), (245), (247),
% 168.64/25.40  | | | | | | | | | | | | |            (248), (267), (269), (270), (271), (272), (275),
% 168.64/25.40  | | | | | | | | | | | | |            (277), (280), (281), (282), (284), (289), (290),
% 168.64/25.40  | | | | | | | | | | | | |            (291), (292), (293), (295), (330), (332), (333),
% 168.64/25.40  | | | | | | | | | | | | |            (335), (347), (351), (368), (371), (377), (386),
% 168.64/25.40  | | | | | | | | | | | | |            (389), (390), (395), (396), (407), (411), (413),
% 168.64/25.40  | | | | | | | | | | | | |            (425), (429), (431), (435), (439), (441), (446),
% 168.64/25.40  | | | | | | | | | | | | |            (460), (463), (465), (468), (532), (533), (534),
% 168.64/25.40  | | | | | | | | | | | | |            (535), (536), (539), (540), (541), (542), (544),
% 168.64/25.40  | | | | | | | | | | | | |            (546), (548), (550), (552), (554), (555), (556),
% 168.64/25.40  | | | | | | | | | | | | |            (558), (560), (564), (567), (570), (574), (619),
% 168.64/25.40  | | | | | | | | | | | | |            (621), (623), (624), (628), (629), (5110), (6413),
% 168.64/25.40  | | | | | | | | | | | | |            (6417), (6640), (6641), (6645), (6646), (6647),
% 168.64/25.40  | | | | | | | | | | | | |            (6648), (6654), (6746), (function-axioms) are
% 168.64/25.40  | | | | | | | | | | | | |            inconsistent by sub-proof #39.
% 168.64/25.40  | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | End of split
% 168.64/25.40  | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | Case 2:
% 168.64/25.40  | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | |   (6747)   ~ (all_56_15 = e0)
% 168.64/25.40  | | | | | | | | | | | |   (6748)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 168.64/25.40  | | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 168.64/25.40  | | | | | | | | | | | |             e0)
% 168.64/25.40  | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | ALPHA: (6748) implies:
% 168.64/25.40  | | | | | | | | | | | |   (6749)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 168.64/25.40  | | | | | | | | | | | |   (6750)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 168.64/25.40  | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | REDUCE: (533), (6747) imply:
% 168.64/25.40  | | | | | | | | | | | |   (6751)   ~ (all_14_2 = e0)
% 168.64/25.40  | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | BETA: splitting (233) gives:
% 168.64/25.40  | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | Case 1:
% 168.64/25.40  | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | |   (6752)  all_54_15 = e0
% 168.64/25.40  | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | COMBINE_EQS: (341), (6752) imply:
% 168.64/25.40  | | | | | | | | | | | | |   (6753)  all_14_2 = e0
% 168.64/25.40  | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | REDUCE: (6751), (6753) imply:
% 168.64/25.40  | | | | | | | | | | | | |   (6754)  $false
% 168.64/25.40  | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | CLOSE: (6754) is inconsistent.
% 168.64/25.40  | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | Case 2:
% 168.64/25.40  | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | |   (6755)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 168.64/25.40  | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | BETA: splitting (238) gives:
% 168.64/25.40  | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | Case 1:
% 168.64/25.40  | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | |   (6756)  all_54_10 = e0
% 168.64/25.40  | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | COMBINE_EQS: (530), (6756) imply:
% 168.64/25.40  | | | | | | | | | | | | | |   (6757)  all_10_2 = e0
% 168.64/25.40  | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | REDUCE: (6417), (6757) imply:
% 168.64/25.40  | | | | | | | | | | | | | |   (6758)  $false
% 168.64/25.40  | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | CLOSE: (6758) is inconsistent.
% 168.64/25.40  | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | Case 2:
% 168.64/25.40  | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | |   (6759)   ~ (all_54_10 = e0)
% 168.64/25.40  | | | | | | | | | | | | | |   (6760)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 168.64/25.40  | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 168.64/25.40  | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | Case 1:
% 168.64/25.40  | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | |   (6761)  all_54_7 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | COMBINE_EQS: (462), (6761) imply:
% 168.64/25.40  | | | | | | | | | | | | | | |   (6762)  all_52_13 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | SIMP: (6762) implies:
% 168.64/25.40  | | | | | | | | | | | | | | |   (6763)  all_52_13 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | COMBINE_EQS: (439), (6763) imply:
% 168.64/25.40  | | | | | | | | | | | | | | |   (6764)  all_56_10 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | COMBINE_EQS: (374), (6763) imply:
% 168.64/25.40  | | | | | | | | | | | | | | |   (6765)  all_58_29 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | REDUCE: (189), (6763) imply:
% 168.64/25.40  | | | | | | | | | | | | | | |   (6766)   ~ (all_52_1 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | REDUCE: (161), (6763) imply:
% 168.64/25.40  | | | | | | | | | | | | | | |   (6767)   ~ (all_52_9 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | REDUCE: (157), (6763) imply:
% 168.64/25.40  | | | | | | | | | | | | | | |   (6768)   ~ (all_52_12 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | REDUCE: (154), (6763) imply:
% 168.64/25.40  | | | | | | | | | | | | | | |   (6769)   ~ (all_52_14 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | SIMP: (6769) implies:
% 168.64/25.40  | | | | | | | | | | | | | | |   (6770)   ~ (all_52_14 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | REDUCE: (577), (6763) imply:
% 168.64/25.40  | | | | | | | | | | | | | | |   (6771)   ~ (all_14_2 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 168.64/25.40  | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | Case 1:
% 168.64/25.40  | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | |   (6772)  all_56_6 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (6772) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | |   (6773)  all_52_2 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (6773) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | |   (6774)  all_58_18 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | REDUCE: (188), (6773) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | |   (6775)   ~ (all_52_3 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | SIMP: (6775) implies:
% 168.64/25.40  | | | | | | | | | | | | | | | |   (6776)   ~ (all_52_3 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | REDUCE: (187), (6773) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | |   (6777)   ~ (all_52_6 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | SIMP: (6777) implies:
% 168.64/25.40  | | | | | | | | | | | | | | | |   (6778)   ~ (all_52_6 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | REDUCE: (546), (6773) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | |   (6779)   ~ (all_6_2 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | SIMP: (6779) implies:
% 168.64/25.40  | | | | | | | | | | | | | | | |   (6780)   ~ (all_6_2 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 168.64/25.40  | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.40  | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | |   (6781)  all_56_4 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (51), (52), (154), (157),
% 168.64/25.40  | | | | | | | | | | | | | | | | |            (161), (164), (165), (170), (177), (178), (180),
% 168.64/25.40  | | | | | | | | | | | | | | | | |            (189), (190), (192), (203), (208), (213), (214),
% 168.64/25.40  | | | | | | | | | | | | | | | | |            (236), (239), (247), (248), (268), (269), (275),
% 168.64/25.40  | | | | | | | | | | | | | | | | |            (287), (291), (293), (295), (330), (331), (332),
% 168.64/25.40  | | | | | | | | | | | | | | | | |            (335), (347), (351), (356), (374), (377), (389),
% 168.64/25.40  | | | | | | | | | | | | | | | | |            (390), (395), (396), (407), (411), (425), (429),
% 168.64/25.40  | | | | | | | | | | | | | | | | |            (439), (441), (446), (456), (465), (530), (532),
% 168.64/25.40  | | | | | | | | | | | | | | | | |            (536), (537), (538), (539), (542), (544), (548),
% 168.64/25.40  | | | | | | | | | | | | | | | | |            (550), (552), (554), (567), (569), (570), (574),
% 168.64/25.40  | | | | | | | | | | | | | | | | |            (577), (620), (626), (629), (631), (6422), (6750),
% 168.64/25.40  | | | | | | | | | | | | | | | | |            (6760), (6770), (6772), (6774), (6776), (6778),
% 168.64/25.40  | | | | | | | | | | | | | | | | |            (6781), (function-axioms) are inconsistent by
% 168.64/25.40  | | | | | | | | | | | | | | | | |            sub-proof #153.
% 168.64/25.40  | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.40  | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | |   (6782)   ~ (all_56_4 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | REDUCE: (429), (6782) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | |   (6783)   ~ (all_52_8 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 168.64/25.40  | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | |   (6784)  all_56_0 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (6784) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | |   (6785)  all_6_2 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | REDUCE: (6780), (6785) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | |   (6786)  $false
% 168.64/25.40  | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | CLOSE: (6786) is inconsistent.
% 168.64/25.40  | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | |   (6787)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | BETA: splitting (6787) gives:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | |   (6788)  all_56_1 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (6788) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | |   (6789)  all_52_4 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (6789) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | |   (6790)  all_58_20 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | REDUCE: (179), (6789) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | |   (6791)   ~ (all_52_7 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | SIMP: (6791) implies:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | |   (6792)   ~ (all_52_7 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | REDUCE: (558), (6789) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | |   (6793)   ~ (all_4_2 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (52), (156), (170),
% 168.64/25.40  | | | | | | | | | | | | | | | | | | |            (190), (209), (242), (244), (270), (275), (280),
% 168.64/25.40  | | | | | | | | | | | | | | | | | | |            (282), (292), (331), (333), (335), (356), (358),
% 168.64/25.40  | | | | | | | | | | | | | | | | | | |            (368), (386), (389), (390), (407), (411), (425),
% 168.64/25.40  | | | | | | | | | | | | | | | | | | |            (431), (441), (448), (453), (533), (534), (536),
% 168.64/25.40  | | | | | | | | | | | | | | | | | | |            (537), (538), (540), (542), (544), (555), (560),
% 168.64/25.40  | | | | | | | | | | | | | | | | | | |            (570), (623), (687), (6638), (6640), (6751),
% 168.64/25.40  | | | | | | | | | | | | | | | | | | |            (6764), (6765), (6766), (6767), (6770), (6772),
% 168.64/25.40  | | | | | | | | | | | | | | | | | | |            (6774), (6776), (6788), (6790), (6792), (6793),
% 168.64/25.40  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.64/25.40  | | | | | | | | | | | | | | | | | | |            #474.
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | |   (6794)  all_56_4 = e0 | all_56_9 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (390), (429), (6768), (6783), (6794) are
% 168.64/25.40  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #563.
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.40  | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | End of split
% 168.64/25.40  | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | End of split
% 168.64/25.40  | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | Case 2:
% 168.64/25.40  | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | |   (6795)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (61), (154),
% 168.64/25.40  | | | | | | | | | | | | | | | |            (156), (157), (161), (164), (165), (167), (169),
% 168.64/25.40  | | | | | | | | | | | | | | | |            (170), (172), (177), (178), (179), (180), (183),
% 168.64/25.40  | | | | | | | | | | | | | | | |            (185), (187), (188), (189), (190), (192), (193),
% 168.64/25.40  | | | | | | | | | | | | | | | |            (203), (204), (207), (208), (211), (212), (237),
% 168.64/25.40  | | | | | | | | | | | | | | | |            (240), (242), (243), (244), (246), (247), (248),
% 168.64/25.40  | | | | | | | | | | | | | | | |            (270), (274), (275), (277), (278), (279), (280),
% 168.64/25.40  | | | | | | | | | | | | | | | |            (281), (282), (285), (287), (289), (290), (291),
% 168.64/25.40  | | | | | | | | | | | | | | | |            (293), (294), (295), (330), (331), (332), (333),
% 168.64/25.40  | | | | | | | | | | | | | | | |            (334), (335), (341), (347), (348), (351), (356),
% 168.64/25.40  | | | | | | | | | | | | | | | |            (368), (371), (374), (377), (386), (389), (390),
% 168.64/25.40  | | | | | | | | | | | | | | | |            (395), (396), (407), (411), (413), (425), (429),
% 168.64/25.40  | | | | | | | | | | | | | | | |            (431), (435), (439), (441), (446), (448), (451),
% 168.64/25.40  | | | | | | | | | | | | | | | |            (453), (455), (463), (521), (531), (532), (533),
% 168.64/25.40  | | | | | | | | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 168.64/25.40  | | | | | | | | | | | | | | | |            (541), (542), (544), (546), (550), (552), (554),
% 168.64/25.40  | | | | | | | | | | | | | | | |            (555), (556), (558), (560), (562), (564), (566),
% 168.64/25.40  | | | | | | | | | | | | | | | |            (567), (569), (574), (576), (577), (578), (619),
% 168.64/25.40  | | | | | | | | | | | | | | | |            (626), (628), (633), (684), (6411), (6416),
% 168.64/25.40  | | | | | | | | | | | | | | | |            (6417), (6749), (6750), (6755), (6766), (6767),
% 168.64/25.40  | | | | | | | | | | | | | | | |            (6768), (6770), (6795), (function-axioms) are
% 168.64/25.40  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #36.
% 168.64/25.40  | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | End of split
% 168.64/25.40  | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | Case 2:
% 168.64/25.40  | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | |   (6796)   ~ (all_54_7 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | REDUCE: (462), (6796) imply:
% 168.64/25.40  | | | | | | | | | | | | | | |   (6797)   ~ (all_52_13 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 168.64/25.40  | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | Case 1:
% 168.64/25.40  | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | |   (6798)  all_54_12 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | COMBINE_EQS: (465), (6798) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | |   (6799)  all_52_3 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (6799) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | |   (6800)  all_56_12 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | REDUCE: (192), (6799) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | |   (6801)   ~ (all_52_1 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | REDUCE: (188), (6799) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | |   (6802)   ~ (all_52_2 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | REDUCE: (183), (6799) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | |   (6803)   ~ (all_52_11 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | SIMP: (6803) implies:
% 168.64/25.40  | | | | | | | | | | | | | | | |   (6804)   ~ (all_52_11 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | REDUCE: (548), (6799) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | |   (6805)   ~ (all_6_2 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | SIMP: (6805) implies:
% 168.64/25.40  | | | | | | | | | | | | | | | |   (6806)   ~ (all_6_2 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 168.64/25.40  | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.40  | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | |   (6807)  all_56_6 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (6807) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | |   (6808)  all_52_2 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | REDUCE: (6802), (6808) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | |   (6809)  $false
% 168.64/25.40  | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | CLOSE: (6809) is inconsistent.
% 168.64/25.40  | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.40  | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | |   (6810)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 168.64/25.40  | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | |   (6811)  all_56_4 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (6811) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | |   (6812)  all_52_8 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | REDUCE: (167), (6812) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | |   (6813)   ~ (all_52_9 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | SIMP: (6813) implies:
% 168.64/25.40  | | | | | | | | | | | | | | | | | |   (6814)   ~ (all_52_9 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | REF_CLOSE: (202), (281), (411), (431), (439), (535), (562),
% 168.64/25.40  | | | | | | | | | | | | | | | | | |            (5110), (6797), (6801), (6814), (function-axioms)
% 168.64/25.40  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #126.
% 168.64/25.40  | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | |   (6815)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | BETA: splitting (6815) gives:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | |   (6816)  all_56_5 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (6816) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | |   (6817)  all_52_9 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (377), (6817) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | |   (6818)  all_58_25 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | REDUCE: (167), (6817) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | |   (6819)   ~ (all_52_8 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | REDUCE: (161), (6817) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | |   (6820)   ~ (all_52_13 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | REDUCE: (570), (6817) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | |   (6821)   ~ (all_10_2 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | |   (6822)  all_56_0 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (6822) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | |   (6823)  all_6_2 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | REDUCE: (6806), (6823) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | |   (6824)  $false
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | CLOSE: (6824) is inconsistent.
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | |   (6825)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | |   (6826)  all_56_1 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (6826) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | |   (6827)  all_52_4 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (6827) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | |   (6828)   ~ (all_52_12 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | SIMP: (6828) implies:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | |   (6829)   ~ (all_52_12 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | REDUCE: (620), (6827) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | |   (6830)  op(e3, e0) = all_58_1
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6750) gives:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | |   (6831)  all_56_9 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (6831) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | |   (6832)  all_52_12 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6829), (6832) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | |   (6833)  $false
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6833) is inconsistent.
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | |   (6834)  all_56_10 = e0 | all_56_11 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6834) gives:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | |   (6835)  all_56_10 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (439), (6797), (6835) are inconsistent by
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #943.
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | |   (6836)  all_56_11 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (6836) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | |   (6837)  all_52_14 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6837) implies:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | |   (6838)  all_52_14 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (356), (6838) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | |   (6839)  all_58_30 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (6838) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | |   (6840)   ~ (all_52_6 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (6838) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | |   (6841)   ~ (all_14_2 = e0)
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | |              all_58_1, e0, e3, simplifying with (212), (6830)
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | |   (6842)  all_58_1 = all_52_12
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | |   (6843)  all_56_9 = e1
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (62), (212), (272), (331), (374),
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | |            (390), (439), (533), (537), (538), (6420), (6751),
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | |            (6829), (6836), (6839), (6843), (function-axioms)
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #114.
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | |   (6844)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6844) gives:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (6845)  all_56_10 = e1
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (6845) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (6846)  all_52_13 = e1
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6846) implies:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (6847)  all_52_13 = e1
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (6847) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (6848)  all_58_29 = e1
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6849)  all_58_31 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (537), (6849) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6850)  all_14_2 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6751), (6850) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6851)  $false
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6851) is inconsistent.
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6852)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6852) gives:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6853)  all_58_30 = e1
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6839), (6853) are inconsistent by sub-proof
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #838.
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6854)  all_58_28 = e3 | all_58_29 = e2
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6854) gives:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6855)  all_58_29 = e2
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6848), (6855) are inconsistent by sub-proof
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #858.
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6856)  all_58_28 = e3
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (6856) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6857)  all_52_12 = e3
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (6857) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6858)   ~ (all_52_8 = e3)
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6859)  all_58_27 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (6859) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6860)  all_52_11 = e0
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6804), (6860) imply:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6861)  $false
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6861) is inconsistent.
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6862)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (51), (52), (239), (395), (456), (539),
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (567), (629), (6422), (6635), (6818), (6840),
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6858), (6862), (function-axioms) are inconsistent
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #177.
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | |   (6863)  all_56_11 = e1 | all_56_15 = e1
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (533), (6640), (6836), (6863) are
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #804.
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |   (6864)   ~ (all_56_1 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | REDUCE: (396), (6864) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |   (6865)   ~ (all_52_4 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (42), (154), (156),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |            (164), (165), (169), (170), (172), (178), (180),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |            (189), (193), (207), (211), (234), (235), (244),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |            (247), (248), (270), (282), (291), (293), (294),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |            (295), (331), (332), (333), (347), (356), (368),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |            (374), (386), (390), (395), (396), (411), (413),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |            (425), (429), (439), (441), (446), (448), (466),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |            (468), (521), (532), (533), (534), (535), (536),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |            (537), (538), (539), (540), (541), (544), (546),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |            (550), (552), (554), (555), (556), (558), (560),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |            (562), (568), (572), (574), (576), (684), (6411),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |            (6416), (6417), (6800), (6801), (6804), (6810),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |            (6816), (6818), (6819), (6825), (6865),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |            #208.
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | |   (6866)  all_56_8 = e0 | all_56_14 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (534), (6417), (6804), (6866) are
% 168.64/25.41  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #914.
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.41  | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | End of split
% 168.64/25.41  | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | End of split
% 168.64/25.41  | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | Case 2:
% 168.64/25.41  | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | |   (6867)   ~ (all_54_12 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | |   (6868)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 168.64/25.41  | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | REDUCE: (465), (6867) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | |   (6869)   ~ (all_52_3 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 168.64/25.41  | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.41  | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | |   (6870)  all_54_6 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (6870) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | |   (6871)  all_52_9 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | SIMP: (6871) implies:
% 168.64/25.41  | | | | | | | | | | | | | | | | |   (6872)  all_52_9 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | REDUCE: (190), (6872) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | |   (6873)   ~ (all_52_1 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | REDUCE: (162), (6872) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | |   (6874)   ~ (all_52_11 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | SIMP: (6874) implies:
% 168.64/25.41  | | | | | | | | | | | | | | | | |   (6875)   ~ (all_52_11 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | REDUCE: (570), (6872) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | |   (6876)   ~ (all_10_2 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | REDUCE: (625), (6872) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | |   (6877)  op(e2, e0) = all_58_6
% 168.64/25.41  | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | BETA: splitting (6749) gives:
% 168.64/25.41  | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | |   (6878)  all_56_12 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (6869), (6878) are inconsistent by
% 168.64/25.41  | | | | | | | | | | | | | | | | | |            sub-proof #919.
% 168.64/25.41  | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | |   (6879)  all_56_13 = e0 | all_56_14 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | BETA: splitting (6879) gives:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | |   (6880)  all_56_13 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (6880) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | |   (6881)  all_52_7 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | SIMP: (6881) implies:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | |   (6882)  all_52_7 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (6882) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | |   (6883)  all_58_23 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | REDUCE: (179), (6882) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | |   (6884)   ~ (all_52_4 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | REDUCE: (172), (6882) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | |   (6885)   ~ (all_52_6 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | REDUCE: (562), (6882) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | |   (6886)   ~ (all_4_2 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | SIMP: (6886) implies:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | |   (6887)   ~ (all_4_2 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | REDUCE: (632), (6882) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | |   (6888)  op(e0, e0) = all_58_13
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 168.64/25.41  | | | | | | | | | | | | | | | | | | |              all_58_13, e0, e0, simplifying with (61), (6888)
% 168.64/25.41  | | | | | | | | | | | | | | | | | | |              gives:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | |   (6889)  all_58_13 = all_14_2
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 168.64/25.41  | | | | | | | | | | | | | | | | | | |              all_58_6, e0, e2, simplifying with (208), (6877)
% 168.64/25.41  | | | | | | | | | | | | | | | | | | |              gives:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | |   (6890)  all_58_6 = all_52_13
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |   (6891)  all_56_0 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (6891) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |   (6892)  all_6_2 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (6892) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |   (6893)  all_58_16 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (6892) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |   (6894)   ~ (all_52_2 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (6892) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |   (6895)  op(e0, e3) = all_6_1
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | REDUCE: (619), (6892) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |   (6896)  op(e3, e0) = all_58_0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (154), (156), (157),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |            (161), (162), (164), (165), (170), (177), (180),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |            (183), (185), (187), (189), (190), (192), (193),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |            (203), (204), (208), (212), (234), (239), (241),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |            (244), (245), (247), (270), (273), (276), (278),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |            (279), (281), (282), (284), (286), (287), (293),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |            (330), (331), (332), (334), (335), (341), (347),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |            (351), (356), (368), (371), (374), (377), (386),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |            (389), (390), (395), (396), (411), (413), (425),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |            (429), (431), (435), (439), (441), (446), (448),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |            (456), (460), (462), (468), (534), (535), (537),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |            (538), (539), (541), (542), (556), (558), (567),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |            (572), (576), (577), (578), (625), (630), (6417),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |            (6755), (6869), (6873), (6883), (6884), (6885),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |            (6887), (6889), (6891), (6893), (6894), (6895),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |            (6896), (function-axioms) are inconsistent by
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |            sub-proof #74.
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |   (6897)   ~ (all_56_0 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (6897) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |   (6898)   ~ (all_6_2 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |   (6899)  all_56_6 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (6899) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |   (6900)  all_52_2 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (6900) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |   (6901)  all_58_18 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | REDUCE: (188), (6900) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |   (6902)   ~ (all_52_3 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (6900) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |   (6903)   ~ (all_52_6 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | REDUCE: (185), (6900) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |   (6904)   ~ (all_52_14 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | SIMP: (6904) implies:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |   (6905)   ~ (all_52_14 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (6900) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |   (6906)   ~ (all_6_2 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |   (6907)  all_54_5 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (531), (6887), (6907) are inconsistent by
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #983.
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |   (6908)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (41), (42), (51),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (52), (154), (156), (157), (161), (162), (164),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (165), (167), (170), (177), (178), (180), (189),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (190), (192), (203), (208), (213), (214), (239),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (241), (247), (248), (268), (269), (271), (272),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (275), (276), (277), (281), (282), (284), (286),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (287), (290), (291), (292), (293), (294), (295),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (330), (331), (332), (334), (335), (347), (351),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (356), (368), (374), (377), (386), (389), (390),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (395), (396), (407), (411), (425), (429), (431),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (439), (441), (446), (456), (462), (465), (530),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (531), (532), (533), (534), (535), (536), (537),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (538), (539), (542), (544), (548), (550), (552),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (554), (555), (558), (560), (564), (566), (567),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (569), (570), (574), (576), (577), (578), (619),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (620), (626), (629), (631), (6413), (6422),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (6750), (6760), (6868), (6869), (6873), (6880),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (6883), (6884), (6885), (6887), (6898), (6899),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (6901), (6905), (6908), (function-axioms) are
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #193.
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |   (6909)   ~ (all_56_6 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (289), (351), (411), (413), (536), (6869), (6873),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |            (6898), (6909) are inconsistent by sub-proof #561.
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | |   (6910)  all_56_14 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (6875), (6910) are inconsistent by
% 168.64/25.41  | | | | | | | | | | | | | | | | | | |            sub-proof #915.
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.41  | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | End of split
% 168.64/25.41  | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.41  | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | |   (6911)   ~ (all_54_6 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | REDUCE: (453), (6911) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | |   (6912)   ~ (all_52_9 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 168.64/25.41  | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | |   (6913)  all_56_4 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (62), (154), (156),
% 168.64/25.41  | | | | | | | | | | | | | | | | | |            (161), (162), (164), (165), (167), (169), (184),
% 168.64/25.41  | | | | | | | | | | | | | | | | | |            (185), (188), (212), (236), (248), (269), (270),
% 168.64/25.41  | | | | | | | | | | | | | | | | | |            (271), (272), (278), (281), (293), (331), (332),
% 168.64/25.41  | | | | | | | | | | | | | | | | | |            (334), (335), (347), (348), (351), (356), (371),
% 168.64/25.41  | | | | | | | | | | | | | | | | | |            (374), (377), (386), (389), (390), (395), (407),
% 168.64/25.41  | | | | | | | | | | | | | | | | | |            (411), (429), (431), (435), (439), (441), (465),
% 168.64/25.41  | | | | | | | | | | | | | | | | | |            (532), (533), (534), (535), (536), (537), (538),
% 168.64/25.41  | | | | | | | | | | | | | | | | | |            (539), (540), (542), (546), (548), (552), (554),
% 168.64/25.41  | | | | | | | | | | | | | | | | | |            (556), (557), (562), (564), (572), (575), (578),
% 168.64/25.41  | | | | | | | | | | | | | | | | | |            (621), (6420), (6640), (6749), (6750), (6797),
% 168.64/25.41  | | | | | | | | | | | | | | | | | |            (6869), (6913), (function-axioms) are inconsistent
% 168.64/25.41  | | | | | | | | | | | | | | | | | |            by sub-proof #65.
% 168.64/25.41  | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | |   (6914)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | BETA: splitting (6914) gives:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | |   (6915)  all_56_5 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (6915) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | |   (6916)  all_52_9 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | REDUCE: (6912), (6916) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | |   (6917)  $false
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | CLOSE: (6917) is inconsistent.
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | |   (6918)  all_56_8 = e0 | all_56_14 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | BETA: splitting (6918) gives:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |   (6919)  all_56_8 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (6919) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |   (6920)  all_10_2 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | REDUCE: (6417), (6920) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |   (6921)  $false
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | CLOSE: (6921) is inconsistent.
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |   (6922)  all_56_14 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (6922) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |   (6923)  all_52_11 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | SIMP: (6923) implies:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |   (6924)  all_52_11 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (6924) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |   (6925)   ~ (all_52_8 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | REDUCE: (572), (6924) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | |   (6926)   ~ (all_10_2 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |   (6927)  all_56_2 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (6927) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |   (6928)  all_52_1 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (6928) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |   (6929)  all_58_17 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | REDUCE: (193), (6928) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |   (6930)   ~ (all_52_2 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | SIMP: (6930) implies:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |   (6931)   ~ (all_52_2 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (6928) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |   (6932)   ~ (all_52_3 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (6928) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |   (6933)   ~ (all_6_2 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | SIMP: (6933) implies:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | |   (6934)   ~ (all_6_2 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |   (6935)  all_56_1 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (36), (62), (154), (156),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (164), (172), (178), (179), (180), (185), (187),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (188), (203), (204), (212), (213), (246), (248),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (270), (272), (273), (278), (286), (293), (330),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (331), (333), (335), (341), (348), (356), (368),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (371), (374), (386), (390), (396), (407), (413),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (425), (429), (439), (441), (451), (465), (532),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (533), (534), (535), (536), (537), (538), (540),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (541), (542), (546), (548), (550), (552), (554),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (568), (576), (577), (578), (620), (621), (624),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (630), (631), (6417), (6420), (6640), (6755),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (6868), (6869), (6929), (6931), (6935),
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |            #64.
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |   (6936)   ~ (all_56_1 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (396), (6936) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | |   (6937)   ~ (all_52_4 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | |   (6938)  all_56_0 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (6938) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | |   (6939)  all_6_2 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6934), (6939) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | |   (6940)  $false
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6940) is inconsistent.
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | |   (6941)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6941) gives:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | |   (6942)  all_56_1 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (6942) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | |   (6943)  all_52_4 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6937), (6943) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | |   (6944)  $false
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6944) is inconsistent.
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | |   (6945)  all_56_4 = e0 | all_56_9 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6945) gives:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | |   (6946)  all_56_4 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (6946) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | |   (6947)  all_52_8 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6925), (6947) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | |   (6948)  $false
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6948) is inconsistent.
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | |   (6949)  all_56_9 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (6949) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | |   (6950)  all_52_12 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6950) implies:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | |   (6951)  all_52_12 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (6951) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | |   (6952)  all_58_28 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (156), (6951) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | |   (6953)   ~ (all_52_14 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6953) implies:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | |   (6954)   ~ (all_52_14 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (6951) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | |   (6955)   ~ (all_14_2 = e0)
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6956)  all_56_6 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (6956) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6957)  all_52_2 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6931), (6957) imply:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6958)  $false
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6958) is inconsistent.
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6959)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 168.64/25.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (52), (172), (178),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |            (180), (185), (187), (188), (213), (246), (247),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |            (267), (268), (270), (279), (291), (331), (333),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |            (335), (348), (351), (356), (368), (371), (374),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (407), (413), (425), (429), (439), (441),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |            (446), (451), (511), (530), (533), (534), (536),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |            (537), (540), (541), (542), (546), (550), (552),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |            (558), (560), (562), (569), (574), (577), (620),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |            (676), (6417), (6631), (6640), (6751), (6760),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |            (6869), (6922), (6925), (6927), (6929), (6934),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |            (6949), (6952), (6954), (6959), (function-axioms)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #470.
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | |   (6960)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (202), (431), (439), (535), (562), (5110), (6797),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | |            (6912), (6960), (function-axioms) are inconsistent
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #127.
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.42  | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | End of split
% 168.64/25.42  | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | End of split
% 168.64/25.42  | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | End of split
% 168.64/25.42  | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | End of split
% 168.64/25.42  | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | End of split
% 168.64/25.42  | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | End of split
% 168.64/25.42  | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | End of split
% 168.64/25.42  | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | Case 2:
% 168.64/25.42  | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | |   (6961)  all_48_2 = e1
% 168.64/25.42  | | | | | | | | | | |   (6962)   ~ (all_48_0 = e3) |  ~ (all_48_1 = e2)
% 168.64/25.42  | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | COMBINE_EQS: (478), (6961) imply:
% 168.64/25.42  | | | | | | | | | | |   (6963)  all_14_2 = e1
% 168.64/25.42  | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | SIMP: (6963) implies:
% 168.64/25.42  | | | | | | | | | | |   (6964)  all_14_2 = e1
% 168.64/25.42  | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | COMBINE_EQS: (525), (6964) imply:
% 168.64/25.42  | | | | | | | | | | |   (6965)  all_50_2 = e1
% 168.64/25.42  | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | COMBINE_EQS: (533), (6964) imply:
% 168.64/25.42  | | | | | | | | | | |   (6966)  all_56_15 = e1
% 168.64/25.42  | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | COMBINE_EQS: (537), (6964) imply:
% 168.64/25.42  | | | | | | | | | | |   (6967)  all_58_31 = e1
% 168.64/25.42  | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | REDUCE: (557), (6964) imply:
% 168.64/25.42  | | | | | | | | | | |   (6968)   ~ (all_52_3 = e1)
% 168.64/25.42  | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | REDUCE: (568), (6964) imply:
% 168.64/25.42  | | | | | | | | | | |   (6969)   ~ (all_52_7 = e1)
% 168.64/25.42  | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | REDUCE: (575), (6964) imply:
% 168.64/25.42  | | | | | | | | | | |   (6970)   ~ (all_52_11 = e1)
% 168.64/25.42  | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | REDUCE: (576), (6964) imply:
% 168.64/25.42  | | | | | | | | | | |   (6971)   ~ (all_52_12 = e1)
% 168.64/25.42  | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | REDUCE: (577), (6964) imply:
% 168.64/25.42  | | | | | | | | | | |   (6972)   ~ (all_52_13 = e1)
% 168.64/25.42  | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | REDUCE: (578), (6964) imply:
% 168.64/25.42  | | | | | | | | | | |   (6973)   ~ (all_52_14 = e1)
% 168.64/25.42  | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | REDUCE: (63), (6964) imply:
% 168.64/25.42  | | | | | | | | | | |   (6974)  op(all_14_1, e1) = all_14_0
% 168.64/25.42  | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | REDUCE: (62), (6964) imply:
% 168.64/25.42  | | | | | | | | | | |   (6975)  op(e1, e0) = all_14_1
% 168.64/25.42  | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | REDUCE: (634), (6964) imply:
% 168.64/25.42  | | | | | | | | | | |   (6976)  op(e0, e1) = all_58_15
% 168.64/25.42  | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 168.64/25.42  | | | | | | | | | | |              all_58_15, e1, e0, simplifying with (201), (6976)
% 168.64/25.42  | | | | | | | | | | |              gives:
% 168.64/25.42  | | | | | | | | | | |   (6977)  all_58_15 = all_52_11
% 168.64/25.42  | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 168.64/25.42  | | | | | | | | | | |              all_14_1, e0, e1, simplifying with (204), (6975)
% 168.64/25.42  | | | | | | | | | | |              gives:
% 168.64/25.42  | | | | | | | | | | |   (6978)  all_52_14 = all_14_1
% 168.64/25.42  | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | COMBINE_EQS: (463), (6978) imply:
% 168.64/25.42  | | | | | | | | | | |   (6979)  all_54_11 = all_14_1
% 168.64/25.42  | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | COMBINE_EQS: (441), (6978) imply:
% 168.64/25.42  | | | | | | | | | | |   (6980)  all_56_11 = all_14_1
% 168.64/25.42  | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | COMBINE_EQS: (356), (6978) imply:
% 168.64/25.42  | | | | | | | | | | |   (6981)  all_58_30 = all_14_1
% 168.64/25.42  | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | REDUCE: (185), (6978) imply:
% 168.64/25.42  | | | | | | | | | | |   (6982)   ~ (all_52_2 = all_14_1)
% 168.64/25.42  | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | REDUCE: (170), (6978) imply:
% 168.64/25.42  | | | | | | | | | | |   (6983)   ~ (all_52_6 = all_14_1)
% 168.64/25.42  | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | REDUCE: (156), (6978) imply:
% 168.64/25.42  | | | | | | | | | | |   (6984)   ~ (all_52_12 = all_14_1)
% 168.64/25.42  | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | REDUCE: (154), (6978) imply:
% 168.64/25.42  | | | | | | | | | | |   (6985)   ~ (all_52_13 = all_14_1)
% 168.64/25.42  | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | REDUCE: (574), (6978) imply:
% 168.64/25.42  | | | | | | | | | | |   (6986)   ~ (all_14_1 = all_10_2)
% 168.64/25.42  | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | BETA: splitting (150) gives:
% 168.64/25.42  | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | Case 1:
% 168.64/25.42  | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | |   (6987)   ~ (all_50_2 = e1)
% 168.64/25.42  | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | REDUCE: (6965), (6987) imply:
% 168.64/25.42  | | | | | | | | | | | |   (6988)  $false
% 168.64/25.42  | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | CLOSE: (6988) is inconsistent.
% 168.64/25.42  | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | Case 2:
% 168.64/25.42  | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | |   (6989)   ~ (all_50_0 = e2) |  ~ (all_50_1 = e3)
% 168.64/25.42  | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | BETA: splitting (238) gives:
% 168.64/25.42  | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | Case 1:
% 168.64/25.42  | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | |   (6990)  all_54_10 = e0
% 168.64/25.42  | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | REF_CLOSE: (530), (6417), (6990) are inconsistent by
% 168.64/25.42  | | | | | | | | | | | | |            sub-proof #909.
% 168.64/25.42  | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | Case 2:
% 168.64/25.42  | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | |   (6991)   ~ (all_54_10 = e0)
% 168.64/25.42  | | | | | | | | | | | | |   (6992)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 168.64/25.42  | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | BETA: splitting (241) gives:
% 168.64/25.42  | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | Case 1:
% 168.64/25.42  | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | |   (6993)  all_54_7 = e0
% 168.64/25.42  | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | COMBINE_EQS: (462), (6993) imply:
% 168.64/25.42  | | | | | | | | | | | | | |   (6994)  all_52_13 = e0
% 168.64/25.42  | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | SIMP: (6994) implies:
% 168.64/25.42  | | | | | | | | | | | | | |   (6995)  all_52_13 = e0
% 168.64/25.42  | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | COMBINE_EQS: (439), (6995) imply:
% 168.64/25.42  | | | | | | | | | | | | | |   (6996)  all_56_10 = e0
% 168.64/25.42  | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | COMBINE_EQS: (374), (6995) imply:
% 168.64/25.42  | | | | | | | | | | | | | |   (6997)  all_58_29 = e0
% 168.64/25.42  | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | REDUCE: (161), (6995) imply:
% 168.64/25.42  | | | | | | | | | | | | | |   (6998)   ~ (all_52_9 = e0)
% 168.64/25.42  | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | REDUCE: (157), (6995) imply:
% 168.64/25.42  | | | | | | | | | | | | | |   (6999)   ~ (all_52_12 = e0)
% 168.64/25.42  | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | REDUCE: (6985), (6995) imply:
% 168.64/25.42  | | | | | | | | | | | | | |   (7000)   ~ (all_14_1 = e0)
% 168.64/25.42  | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | SIMP: (7000) implies:
% 168.64/25.42  | | | | | | | | | | | | | |   (7001)   ~ (all_14_1 = e0)
% 168.64/25.42  | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | REDUCE: (566), (6995) imply:
% 168.64/25.42  | | | | | | | | | | | | | |   (7002)   ~ (all_4_2 = e0)
% 168.64/25.42  | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | SIMP: (7002) implies:
% 168.64/25.42  | | | | | | | | | | | | | |   (7003)   ~ (all_4_2 = e0)
% 168.64/25.42  | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | REDUCE: (6972), (6995) imply:
% 168.64/25.42  | | | | | | | | | | | | | |   (7004)   ~ (e1 = e0)
% 168.64/25.42  | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 168.64/25.42  | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | Case 1:
% 168.64/25.42  | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | |   (7005)  all_58_31 = e0
% 168.64/25.42  | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | COMBINE_EQS: (6967), (7005) imply:
% 168.64/25.42  | | | | | | | | | | | | | | |   (7006)  e1 = e0
% 168.64/25.42  | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | REDUCE: (4), (7006) imply:
% 168.64/25.42  | | | | | | | | | | | | | | |   (7007)  $false
% 168.64/25.42  | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | CLOSE: (7007) is inconsistent.
% 168.64/25.42  | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | Case 2:
% 168.64/25.42  | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | |   (7008)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 168.64/25.42  | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | BETA: splitting (7008) gives:
% 168.64/25.42  | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | Case 1:
% 168.64/25.42  | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | |   (7009)  all_58_30 = e1
% 168.64/25.42  | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | COMBINE_EQS: (6981), (7009) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | |   (7010)  all_14_1 = e1
% 168.64/25.42  | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | REDUCE: (6420), (7010) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | |   (7011)  $false
% 168.64/25.42  | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | CLOSE: (7011) is inconsistent.
% 168.64/25.42  | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | Case 2:
% 168.64/25.42  | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | |   (7012)   ~ (all_58_30 = e1)
% 168.64/25.42  | | | | | | | | | | | | | | | |   (7013)  all_58_28 = e3 | all_58_29 = e2
% 168.64/25.42  | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | BETA: splitting (7013) gives:
% 168.64/25.42  | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.42  | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | |   (7014)  all_58_29 = e2
% 168.64/25.42  | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6997), (7014) are inconsistent by sub-proof
% 168.64/25.42  | | | | | | | | | | | | | | | | |            #889.
% 168.64/25.42  | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.42  | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | |   (7015)  all_58_28 = e3
% 168.64/25.42  | | | | | | | | | | | | | | | | |   (7016)   ~ (all_58_29 = e2)
% 168.64/25.42  | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (7015) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | |   (7017)  all_52_12 = e3
% 168.64/25.42  | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (7017) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | |   (7018)  all_56_9 = e3
% 168.64/25.42  | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | REDUCE: (6997), (7016) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | |   (7019)   ~ (e2 = e0)
% 168.64/25.42  | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | REDUCE: (164), (7017) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | |   (7020)   ~ (all_52_8 = e3)
% 168.64/25.42  | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | REDUCE: (554), (7017) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | |   (7021)   ~ (all_6_2 = e3)
% 168.64/25.42  | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | SIMP: (7021) implies:
% 168.64/25.42  | | | | | | | | | | | | | | | | |   (7022)   ~ (all_6_2 = e3)
% 168.64/25.42  | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 168.64/25.42  | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | |   (7023)  all_56_9 = e2
% 168.64/25.42  | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7018), (7023) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | |   (7024)  e3 = e2
% 168.64/25.42  | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | REDUCE: (9), (7024) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | |   (7025)  $false
% 168.64/25.42  | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | CLOSE: (7025) is inconsistent.
% 168.64/25.42  | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | |   (7026)  all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 168.64/25.42  | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | |   (7027)  all_54_11 = e0
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6979), (7001), (7027) are inconsistent by
% 168.64/25.42  | | | | | | | | | | | | | | | | | | |            sub-proof #190.
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | |   (7028)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | BETA: splitting (7026) gives:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | |   (7029)  all_56_10 = e2
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6996), (7029) are inconsistent by sub-proof
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | |            #17.
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | |   (7030)  all_56_11 = e2 | all_56_15 = e2
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | BETA: splitting (7030) gives:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | |   (7031)  all_56_11 = e2
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6980), (7031) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | |   (7032)  all_14_1 = e2
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (691), (7032) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | |   (7033)  all_48_1 = e2
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | REDUCE: (6982), (7032) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | |   (7034)   ~ (all_52_2 = e2)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | REDUCE: (6983), (7032) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | |   (7035)   ~ (all_52_6 = e2)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | REDUCE: (6974), (7032) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | |   (7036)  op(e2, e1) = all_14_0
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6962) gives:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | |   (7037)   ~ (all_48_1 = e2)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7033), (7037) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | |   (7038)  $false
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7038) is inconsistent.
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | |   (7039)   ~ (all_48_0 = e3)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (729), (7039) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | |   (7040)   ~ (all_14_0 = e3)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | |              all_14_0, e1, e2, simplifying with (209), (7036)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | |              gives:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | |   (7041)  all_52_9 = all_14_0
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (7041) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | |   (7042)  all_54_6 = all_14_0
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (7041) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | |   (7043)  all_56_5 = all_14_0
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (7041) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | |   (7044)   ~ (all_52_8 = all_14_0)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (7041) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | |   (7045)   ~ (all_52_11 = all_14_0)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | SIMP: (7045) implies:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | |   (7046)   ~ (all_52_11 = all_14_0)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (570), (7041) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | |   (7047)   ~ (all_14_0 = all_10_2)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6998), (7041) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | |   (7048)   ~ (all_14_0 = e0)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | |   (7049)  all_54_6 = e0
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7042), (7048), (7049) are inconsistent by
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #32.
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | |   (7050)   ~ (all_54_6 = e0)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | |   (7051)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7051) gives:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | |   (7052)  all_54_6 = e1
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6418), (7042), (7052) are inconsistent by
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #31.
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | |   (7053)   ~ (all_54_6 = e1)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | |   (7054)  all_54_6 = e3 | all_54_6 = e2
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7054) gives:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | |   (7055)  all_54_6 = e2
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7042), (7055) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | |   (7056)  all_14_0 = e2
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7056) implies:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | |   (7057)  all_14_0 = e2
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7043), (7057) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | |   (7058)  all_56_5 = e2
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7044), (7057) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | |   (7059)   ~ (all_52_8 = e2)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7046), (7057) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | |   (7060)   ~ (all_52_11 = e2)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7047), (7057) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | |   (7061)   ~ (all_10_2 = e2)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7061) implies:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | |   (7062)   ~ (all_10_2 = e2)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7040), (7057) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | |   (7063)   ~ (e3 = e2)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7064)  all_54_14 = e0
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (468), (7064) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7065)  all_52_11 = e0
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7065) implies:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7066)  all_52_11 = e0
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (7066) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7067)  all_56_14 = e0
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (183), (7066) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7068)   ~ (all_52_3 = e0)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (7066) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7069)   ~ (all_52_7 = e0)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (7066) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7070)   ~ (all_52_8 = e0)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (172), (177), (178), (187), (193),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (239), (240), (246), (248), (278), (280),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |            (284), (286), (333), (335), (348), (368), (371),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (389), (396), (407), (411), (425), (429),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |            (431), (435), (451), (455), (456), (530), (532),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |            (534), (535), (538), (540), (541), (542), (544),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |            (546), (552), (556), (567), (569), (691), (729),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |            (6418), (6420), (6962), (6969), (6970), (6974),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |            (6979), (6982), (6984), (6992), (6996), (6997),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |            (6999), (7013), (7015), (7020), (7022), (7028),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |            (7034), (7035), (7058), (7059), (7062), (7067),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |            (7068), (7069), (7070), (function-axioms) are
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #30.
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7071)   ~ (all_54_14 = e0)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7072)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (468), (7071) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7073)   ~ (all_52_11 = e0)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7074)  all_56_4 = e0
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (7074) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7075)  all_52_8 = e0
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (7075) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7076)  all_58_24 = e0
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (178), (7075) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7077)   ~ (all_52_4 = e0)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (7075) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7078)   ~ (all_52_11 = e0)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (569), (7075) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7079)   ~ (all_10_2 = e0)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7072) gives:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7080)  all_54_14 = e1
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (468), (6970), (7080) are inconsistent by
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #723.
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7081)  all_54_14 = e3 | all_54_14 = e2
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7081) gives:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7082)  all_54_14 = e2
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (468), (7060), (7082) are inconsistent by
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #773.
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7083)  all_54_14 = e3
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (468), (7083) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7084)  all_52_11 = e3
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7084) implies:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7085)  all_52_11 = e3
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (183), (7085) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7086)   ~ (all_52_3 = e3)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (7085) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7087)   ~ (all_52_7 = e3)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7088)  all_58_19 = e0
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (42), (157), (172), (177), (180), (184),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (185), (187), (189), (190), (192), (193), (207),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (211), (240), (244), (247), (248), (274), (281),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (282), (285), (291), (293), (295), (331), (332),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (333), (347), (348), (351), (356), (368), (374),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (377), (386), (396), (411), (413), (425), (431),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (439), (446), (448), (455), (521), (532), (535),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (536), (537), (538), (539), (540), (541), (542),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (544), (546), (548), (550), (554), (555), (556),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (558), (560), (564), (566), (574), (577), (684),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6411), (6416), (6968), (6998), (7003), (7073),
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7076), (7077), (7088), (function-axioms) are
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #29.
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7089)   ~ (all_58_19 = e0)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (542), (7089) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7090)   ~ (all_52_3 = e0)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7091)  all_54_12 = e0
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (465), (7090), (7091) are inconsistent by
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #559.
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7092)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7092) gives:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7093)  all_54_12 = e1
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (465), (6968), (7093) are inconsistent by
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #812.
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7094)   ~ (all_54_12 = e1)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7095)  all_54_12 = e3 | all_54_12 = e2
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7095) gives:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7096)  all_54_12 = e2
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (465), (7096) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7097)  all_52_3 = e2
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7097) implies:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7098)  all_52_3 = e2
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (184), (7098) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7099)   ~ (all_52_7 = e2)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7099) implies:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7100)   ~ (all_52_7 = e2)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7101)  all_54_13 = e0
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (7101) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7102)  all_52_7 = e0
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7102) implies:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7103)  all_52_7 = e0
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (7103) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7104)  all_56_13 = e0
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (7103) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7105)   ~ (all_52_6 = e0)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7087), (7103) imply:
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7106)   ~ (e3 = e0)
% 168.64/25.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (51), (52), (157), (162), (164),
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (165), (167), (184), (187), (188), (189), (190),
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (192), (193), (201), (213), (237), (239), (245),
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (246), (266), (271), (272), (273), (277), (281),
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (285), (286), (289), (290), (291), (292), (331),
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (332), (335), (347), (348), (351), (371), (374),
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (377), (389), (390), (395), (396), (407), (411),
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (413), (425), (429), (431), (435), (439), (451),
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (456), (460), (530), (534), (535), (536), (538),
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (539), (542), (544), (546), (552), (554), (555),
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (556), (567), (569), (570), (620), (629), (692),
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (769), (6417), (6420), (6422), (6635), (6966),
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6967), (6968), (6969), (6971), (6972), (6974),
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6979), (6980), (6981), (6982), (6983), (6984),
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6985), (6986), (6989), (6992), (7003), (7073),
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7077), (7103), (7104), (7105), (function-axioms)
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #175.
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7107)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7107) gives:
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7108)  all_54_13 = e1
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (466), (6969), (7108) are inconsistent by
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #338.
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7109)  all_54_13 = e3 | all_54_13 = e2
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (466), (7087), (7100), (7109) are inconsistent by
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #770.
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7110)  all_54_12 = e3
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (465), (7086), (7110) are inconsistent by
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #810.
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7111)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (435), (534), (6417), (7058), (7073), (7111)
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #28.
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | |   (7112)  all_54_6 = e3
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7040), (7042), (7112) are inconsistent by
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #27.
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | |   (7113)  all_56_15 = e2
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.43  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6966), (7113) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | |   (7114)  e2 = e1
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (7114) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | |   (7115)  $false
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | CLOSE: (7115) is inconsistent.
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.45  | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | End of split
% 168.64/25.45  | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | End of split
% 168.64/25.45  | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | End of split
% 168.64/25.45  | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | End of split
% 168.64/25.45  | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | Case 2:
% 168.64/25.45  | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | |   (7116)   ~ (all_54_7 = e0)
% 168.64/25.45  | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | REDUCE: (462), (7116) imply:
% 168.64/25.45  | | | | | | | | | | | | | |   (7117)   ~ (all_52_13 = e0)
% 168.64/25.45  | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 168.64/25.45  | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | Case 1:
% 168.64/25.45  | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | |   (7118)  all_54_12 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | COMBINE_EQS: (465), (7118) imply:
% 168.64/25.45  | | | | | | | | | | | | | | |   (7119)  all_52_3 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | SIMP: (7119) implies:
% 168.64/25.45  | | | | | | | | | | | | | | |   (7120)  all_52_3 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (42), (154), (156),
% 168.64/25.45  | | | | | | | | | | | | | | |            (162), (164), (165), (167), (169), (170), (172),
% 168.64/25.45  | | | | | | | | | | | | | | |            (178), (179), (180), (183), (188), (189), (190),
% 168.64/25.45  | | | | | | | | | | | | | | |            (192), (193), (201), (202), (207), (211), (234),
% 168.64/25.45  | | | | | | | | | | | | | | |            (235), (244), (247), (248), (270), (273), (277),
% 168.64/25.45  | | | | | | | | | | | | | | |            (281), (282), (285), (290), (291), (292), (293),
% 168.64/25.45  | | | | | | | | | | | | | | |            (294), (295), (331), (332), (333), (347), (351),
% 168.64/25.45  | | | | | | | | | | | | | | |            (356), (368), (374), (377), (386), (390), (395),
% 168.64/25.45  | | | | | | | | | | | | | | |            (396), (411), (413), (425), (429), (431), (435),
% 168.64/25.45  | | | | | | | | | | | | | | |            (439), (441), (446), (448), (466), (468), (521),
% 168.64/25.45  | | | | | | | | | | | | | | |            (532), (533), (534), (535), (536), (537), (538),
% 168.64/25.45  | | | | | | | | | | | | | | |            (539), (540), (541), (544), (546), (548), (550),
% 168.64/25.45  | | | | | | | | | | | | | | |            (552), (554), (555), (556), (558), (560), (562),
% 168.64/25.45  | | | | | | | | | | | | | | |            (568), (569), (570), (572), (574), (576), (684),
% 168.64/25.45  | | | | | | | | | | | | | | |            (5110), (6411), (6416), (6417), (6420), (6968),
% 168.64/25.45  | | | | | | | | | | | | | | |            (6971), (6972), (6974), (6980), (7117), (7120),
% 168.64/25.45  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.64/25.45  | | | | | | | | | | | | | | |            #25.
% 168.64/25.45  | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | Case 2:
% 168.64/25.45  | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | |   (7121)   ~ (all_54_12 = e0)
% 168.64/25.45  | | | | | | | | | | | | | | |   (7122)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 168.64/25.45  | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | REDUCE: (465), (7121) imply:
% 168.64/25.45  | | | | | | | | | | | | | | |   (7123)   ~ (all_52_3 = e0)
% 168.64/25.45  | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 168.64/25.45  | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | Case 1:
% 168.64/25.45  | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | |   (7124)  all_54_3 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (7124) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | |   (7125)  all_52_12 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | SIMP: (7125) implies:
% 168.64/25.45  | | | | | | | | | | | | | | | |   (7126)  all_52_12 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (7126) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | |   (7127)  all_56_9 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | COMBINE_EQS: (538), (7126) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | |   (7128)  all_58_28 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | REDUCE: (164), (7126) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | |   (7129)   ~ (all_52_8 = e0)
% 168.64/25.45  | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | REDUCE: (157), (7126) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | |   (7130)   ~ (all_52_13 = e0)
% 168.64/25.45  | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | REDUCE: (554), (7126) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | |   (7131)   ~ (all_6_2 = e0)
% 168.64/25.45  | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | SIMP: (7131) implies:
% 168.64/25.45  | | | | | | | | | | | | | | | |   (7132)   ~ (all_6_2 = e0)
% 168.64/25.45  | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | REDUCE: (6971), (7126) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | |   (7133)   ~ (e1 = e0)
% 168.64/25.45  | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (154), (161), (167), (172),
% 168.64/25.45  | | | | | | | | | | | | | | | |            (178), (180), (187), (188), (189), (192), (193),
% 168.64/25.45  | | | | | | | | | | | | | | | |            (213), (239), (242), (246), (248), (269), (272),
% 168.64/25.45  | | | | | | | | | | | | | | | |            (273), (281), (282), (284), (286), (289), (292),
% 168.64/25.45  | | | | | | | | | | | | | | | |            (294), (331), (333), (334), (335), (351), (356),
% 168.64/25.45  | | | | | | | | | | | | | | | |            (368), (371), (374), (377), (386), (389), (390),
% 168.64/25.45  | | | | | | | | | | | | | | | |            (395), (396), (407), (411), (413), (425), (429),
% 168.64/25.45  | | | | | | | | | | | | | | | |            (431), (439), (451), (453), (456), (465), (530),
% 168.64/25.45  | | | | | | | | | | | | | | | |            (532), (535), (536), (539), (540), (541), (542),
% 168.64/25.45  | | | | | | | | | | | | | | | |            (544), (546), (548), (550), (552), (556), (558),
% 168.64/25.45  | | | | | | | | | | | | | | | |            (560), (566), (567), (569), (570), (692), (769),
% 168.64/25.45  | | | | | | | | | | | | | | | |            (6418), (6420), (6966), (6967), (6971), (6972),
% 168.64/25.45  | | | | | | | | | | | | | | | |            (6974), (6980), (6981), (6982), (6983), (6989),
% 168.64/25.45  | | | | | | | | | | | | | | | |            (6992), (7117), (7122), (7123), (7127), (7128),
% 168.64/25.45  | | | | | | | | | | | | | | | |            (7129), (7132), (function-axioms) are inconsistent
% 168.64/25.45  | | | | | | | | | | | | | | | |            by sub-proof #16.
% 168.64/25.45  | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | Case 2:
% 168.64/25.45  | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | |   (7134)   ~ (all_54_3 = e0)
% 168.64/25.45  | | | | | | | | | | | | | | | |   (7135)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 168.64/25.45  | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | REDUCE: (460), (7134) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | |   (7136)   ~ (all_52_12 = e0)
% 168.64/25.45  | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | BETA: splitting (266) gives:
% 168.64/25.45  | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.45  | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | |   (7137)  all_56_15 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6966), (7137) are inconsistent by sub-proof
% 168.64/25.45  | | | | | | | | | | | | | | | | |            #657.
% 168.64/25.45  | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.45  | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | |   (7138)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 168.64/25.45  | | | | | | | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 168.64/25.45  | | | | | | | | | | | | | | | | |             e0)
% 168.64/25.45  | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | ALPHA: (7138) implies:
% 168.64/25.45  | | | | | | | | | | | | | | | | |   (7139)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | BETA: splitting (7139) gives:
% 168.64/25.45  | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | |   (7140)  all_56_9 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (7140) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | | | |   (7141)  all_52_12 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | REDUCE: (7136), (7141) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | | | |   (7142)  $false
% 168.64/25.45  | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | CLOSE: (7142) is inconsistent.
% 168.64/25.45  | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | |   (7143)  all_56_10 = e0 | all_56_11 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | BETA: splitting (7143) gives:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | |   (7144)  all_56_10 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (7144) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | |   (7145)  all_52_13 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | REDUCE: (7117), (7145) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | |   (7146)  $false
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | CLOSE: (7146) is inconsistent.
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | |   (7147)  all_56_11 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6980), (7147) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | |   (7148)  all_14_1 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6981), (7148) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | |   (7149)  all_58_30 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | REDUCE: (6982), (7148) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | |   (7150)   ~ (all_52_2 = e0)
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | REDUCE: (6983), (7148) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | |   (7151)   ~ (all_52_6 = e0)
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | REDUCE: (6420), (7148) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | |   (7152)   ~ (e1 = e0)
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | REDUCE: (6974), (7148) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | |   (7153)  op(e0, e1) = all_14_0
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 168.64/25.45  | | | | | | | | | | | | | | | | | | |              all_14_0, e1, e0, simplifying with (201), (7153)
% 168.64/25.45  | | | | | | | | | | | | | | | | | | |              gives:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | |   (7154)  all_52_11 = all_14_0
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (468), (7154) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | |   (7155)  all_54_14 = all_14_0
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (7154) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | |   (7156)  all_58_27 = all_14_0
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | REDUCE: (165), (7154) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | |   (7157)   ~ (all_52_8 = all_14_0)
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | REDUCE: (162), (7154) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | |   (7158)   ~ (all_52_9 = all_14_0)
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | |   (7159)  all_56_0 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (7159) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | |   (7160)  all_6_2 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (7160) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | |   (7161)   ~ (all_52_1 = e0)
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (7160) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | |   (7162)   ~ (all_52_8 = e0)
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | |   (7163)  all_56_4 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (7163) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | |   (7164)  all_52_8 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | REDUCE: (7162), (7164) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | |   (7165)  $false
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | CLOSE: (7165) is inconsistent.
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | |   (7166)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | |   (7167)  all_56_2 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (7167) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | |   (7168)  all_52_1 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7161), (7168) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | |   (7169)  $false
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7169) is inconsistent.
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | |   (7170)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | |   (7171)  all_54_14 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (202), (431), (439), (535), (562), (5110), (7117),
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | |            (7155), (7158), (7170), (7171), (function-axioms)
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #14.
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | |   (7172)   ~ (all_54_14 = e0)
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7155), (7172) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | |   (7173)   ~ (all_14_0 = e0)
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7166) gives:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | |   (7174)  all_56_5 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (7174) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | |   (7175)  all_52_9 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (377), (7175) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | |   (7176)  all_58_25 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (9), (51), (52), (157), (164), (239),
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | |            (271), (331), (332), (374), (390), (395), (456),
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | |            (460), (538), (539), (567), (629), (6422), (6635),
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | |            (6967), (6971), (7135), (7149), (7151), (7156),
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | |            (7173), (7176), (function-axioms) are inconsistent
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #176.
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | |   (7177)   ~ (all_56_5 = e0)
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (431), (7177) imply:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | |   (7178)   ~ (all_52_9 = e0)
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (202), (431), (439), (535), (562), (5110), (7117),
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | |            (7170), (7178), (function-axioms) are inconsistent
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #127.
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | Case 2:
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | |   (7179)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (52), (157), (164),
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | |            (179), (187), (188), (192), (193), (213), (272),
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | |            (277), (285), (286), (290), (291), (292), (331),
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | |            (332), (333), (335), (348), (351), (368), (371),
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | |            (374), (377), (386), (389), (390), (395), (396),
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | |            (407), (411), (413), (425), (429), (460), (530),
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | |            (535), (536), (538), (539), (540), (541), (542),
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | |            (544), (546), (554), (556), (570), (620), (6422),
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | |            (6967), (6968), (6969), (6971), (6992), (7123),
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | |            (7135), (7136), (7149), (7150), (7156), (7157),
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | |            (7179), (function-axioms) are inconsistent by
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | |            sub-proof #11.
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.45  | | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | | End of split
% 168.64/25.45  | | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | | End of split
% 168.64/25.45  | | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | | End of split
% 168.64/25.45  | | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | | End of split
% 168.64/25.45  | | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | | End of split
% 168.64/25.45  | | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | | End of split
% 168.64/25.45  | | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | | End of split
% 168.64/25.45  | | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | | End of split
% 168.64/25.45  | | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | | End of split
% 168.64/25.45  | | | | | | | | | | 
% 168.64/25.45  | | | | | | | | | End of split
% 168.64/25.45  | | | | | | | | | 
% 168.64/25.46  | | | | | | | | End of split
% 168.64/25.46  | | | | | | | | 
% 168.64/25.46  | | | | | | | Case 2:
% 168.64/25.46  | | | | | | | | 
% 168.64/25.46  | | | | | | | |   (7180)  all_20_1 = e0
% 168.64/25.46  | | | | | | | | 
% 168.64/25.46  | | | | | | | | COMBINE_EQS: (682), (7180) imply:
% 168.64/25.46  | | | | | | | |   (7181)  all_10_1 = e0
% 168.64/25.46  | | | | | | | | 
% 168.64/25.46  | | | | | | | | SIMP: (7181) implies:
% 168.64/25.46  | | | | | | | |   (7182)  all_10_1 = e0
% 168.64/25.46  | | | | | | | | 
% 168.64/25.46  | | | | | | | | COMBINE_EQS: (646), (7182) imply:
% 168.64/25.46  | | | | | | | |   (7183)  all_34_1 = e0
% 168.64/25.46  | | | | | | | | 
% 168.64/25.46  | | | | | | | | REDUCE: (53), (7182) imply:
% 168.64/25.46  | | | | | | | |   (7184)  op(e0, all_10_2) = all_10_0
% 168.64/25.46  | | | | | | | | 
% 168.64/25.46  | | | | | | | | REDUCE: (52), (7182) imply:
% 168.64/25.46  | | | | | | | |   (7185)  op(all_10_2, e1) = e0
% 168.64/25.46  | | | | | | | | 
% 168.64/25.46  | | | | | | | | BETA: splitting (112) gives:
% 168.64/25.46  | | | | | | | | 
% 168.64/25.46  | | | | | | | | Case 1:
% 168.64/25.46  | | | | | | | | | 
% 168.64/25.46  | | | | | | | | |   (7186)   ~ (all_34_1 = e0)
% 168.64/25.46  | | | | | | | | | 
% 168.64/25.46  | | | | | | | | | REDUCE: (7183), (7186) imply:
% 168.64/25.46  | | | | | | | | |   (7187)  $false
% 168.64/25.46  | | | | | | | | | 
% 168.64/25.46  | | | | | | | | | CLOSE: (7187) is inconsistent.
% 168.64/25.46  | | | | | | | | | 
% 168.64/25.46  | | | | | | | | Case 2:
% 168.64/25.46  | | | | | | | | | 
% 168.64/25.46  | | | | | | | | |   (7188)   ~ (all_34_0 = e2) |  ~ (all_34_2 = e3)
% 168.64/25.46  | | | | | | | | | 
% 168.64/25.46  | | | | | | | | | BETA: splitting (145) gives:
% 168.64/25.46  | | | | | | | | | 
% 168.64/25.46  | | | | | | | | | Case 1:
% 168.64/25.46  | | | | | | | | | | 
% 168.64/25.46  | | | | | | | | | |   (7189)   ~ (all_48_2 = e1)
% 168.64/25.46  | | | | | | | | | | 
% 168.64/25.46  | | | | | | | | | | REDUCE: (478), (7189) imply:
% 168.64/25.46  | | | | | | | | | |   (7190)   ~ (all_14_2 = e1)
% 168.64/25.46  | | | | | | | | | | 
% 168.64/25.46  | | | | | | | | | | BETA: splitting (266) gives:
% 168.64/25.46  | | | | | | | | | | 
% 168.64/25.46  | | | | | | | | | | Case 1:
% 168.64/25.46  | | | | | | | | | | | 
% 168.64/25.46  | | | | | | | | | | |   (7191)  all_56_15 = e0
% 168.64/25.46  | | | | | | | | | | | 
% 168.64/25.46  | | | | | | | | | | | COMBINE_EQS: (533), (7191) imply:
% 168.64/25.46  | | | | | | | | | | |   (7192)  all_14_2 = e0
% 168.64/25.46  | | | | | | | | | | | 
% 168.64/25.46  | | | | | | | | | | | SIMP: (7192) implies:
% 168.64/25.46  | | | | | | | | | | |   (7193)  all_14_2 = e0
% 168.64/25.46  | | | | | | | | | | | 
% 168.64/25.46  | | | | | | | | | | | REDUCE: (575), (7193) imply:
% 168.64/25.46  | | | | | | | | | | |   (7194)   ~ (all_52_11 = e0)
% 168.64/25.46  | | | | | | | | | | | 
% 168.64/25.46  | | | | | | | | | | | REDUCE: (576), (7193) imply:
% 168.64/25.46  | | | | | | | | | | |   (7195)   ~ (all_52_12 = e0)
% 168.64/25.46  | | | | | | | | | | | 
% 168.64/25.46  | | | | | | | | | | | REDUCE: (577), (7193) imply:
% 168.64/25.46  | | | | | | | | | | |   (7196)   ~ (all_52_13 = e0)
% 168.64/25.46  | | | | | | | | | | | 
% 168.64/25.46  | | | | | | | | | | | REDUCE: (578), (7193) imply:
% 168.64/25.46  | | | | | | | | | | |   (7197)   ~ (all_52_14 = e0)
% 168.64/25.46  | | | | | | | | | | | 
% 168.64/25.46  | | | | | | | | | | | REDUCE: (63), (7193) imply:
% 168.64/25.46  | | | | | | | | | | |   (7198)  op(all_14_1, e0) = all_14_0
% 168.64/25.46  | | | | | | | | | | | 
% 168.64/25.46  | | | | | | | | | | | REDUCE: (62), (7193) imply:
% 168.64/25.46  | | | | | | | | | | |   (7199)  op(e0, e0) = all_14_1
% 168.64/25.46  | | | | | | | | | | | 
% 168.64/25.46  | | | | | | | | | | | REDUCE: (634), (7193) imply:
% 168.64/25.46  | | | | | | | | | | |   (7200)  op(e0, e0) = all_58_15
% 168.64/25.46  | | | | | | | | | | | 
% 168.64/25.46  | | | | | | | | | | | REDUCE: (61), (7193) imply:
% 168.64/25.46  | | | | | | | | | | |   (7201)  op(e0, e0) = e0
% 168.64/25.46  | | | | | | | | | | | 
% 168.64/25.46  | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (41), (42), (51),
% 168.64/25.46  | | | | | | | | | | |            (52), (154), (156), (157), (162), (164), (165),
% 168.64/25.46  | | | | | | | | | | |            (167), (170), (172), (177), (178), (179), (180),
% 168.64/25.46  | | | | | | | | | | |            (183), (185), (188), (190), (192), (193), (202),
% 168.64/25.46  | | | | | | | | | | |            (203), (204), (208), (212), (234), (236), (237),
% 168.64/25.46  | | | | | | | | | | |            (245), (246), (247), (248), (267), (269), (270),
% 168.64/25.46  | | | | | | | | | | |            (271), (272), (273), (275), (277), (280), (281),
% 168.64/25.46  | | | | | | | | | | |            (282), (284), (289), (290), (291), (292), (293),
% 168.64/25.46  | | | | | | | | | | |            (294), (295), (296), (330), (332), (333), (335),
% 168.64/25.46  | | | | | | | | | | |            (347), (351), (368), (371), (377), (386), (389),
% 168.64/25.46  | | | | | | | | | | |            (390), (395), (396), (407), (411), (413), (425),
% 168.64/25.46  | | | | | | | | | | |            (429), (431), (435), (439), (441), (446), (451),
% 168.64/25.46  | | | | | | | | | | |            (460), (463), (465), (468), (532), (533), (534),
% 168.64/25.46  | | | | | | | | | | |            (535), (536), (539), (540), (541), (542), (544),
% 168.64/25.46  | | | | | | | | | | |            (546), (548), (550), (552), (554), (555), (556),
% 168.64/25.46  | | | | | | | | | | |            (558), (560), (562), (564), (567), (569), (570),
% 168.64/25.46  | | | | | | | | | | |            (574), (619), (620), (621), (623), (624), (625),
% 168.64/25.46  | | | | | | | | | | |            (627), (628), (629), (5110), (6413), (6417),
% 168.64/25.46  | | | | | | | | | | |            (6418), (7190), (7191), (7194), (7195), (7196),
% 168.64/25.46  | | | | | | | | | | |            (7197), (7198), (7199), (7200), (7201),
% 168.64/25.46  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.64/25.46  | | | | | | | | | | |            #38.
% 168.64/25.46  | | | | | | | | | | | 
% 168.64/25.46  | | | | | | | | | | Case 2:
% 168.64/25.46  | | | | | | | | | | | 
% 168.64/25.46  | | | | | | | | | | |   (7202)   ~ (all_56_15 = e0)
% 168.64/25.46  | | | | | | | | | | |   (7203)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 168.64/25.46  | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 168.64/25.46  | | | | | | | | | | |             e0)
% 168.64/25.46  | | | | | | | | | | | 
% 168.64/25.46  | | | | | | | | | | | ALPHA: (7203) implies:
% 168.64/25.46  | | | | | | | | | | |   (7204)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 168.64/25.46  | | | | | | | | | | |   (7205)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 168.64/25.46  | | | | | | | | | | | 
% 168.64/25.46  | | | | | | | | | | | REDUCE: (533), (7202) imply:
% 168.98/25.46  | | | | | | | | | | |   (7206)   ~ (all_14_2 = e0)
% 168.98/25.46  | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | BETA: splitting (233) gives:
% 168.98/25.46  | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | Case 1:
% 168.98/25.46  | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | |   (7207)  all_54_15 = e0
% 168.98/25.46  | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | COMBINE_EQS: (341), (7207) imply:
% 168.98/25.46  | | | | | | | | | | | |   (7208)  all_14_2 = e0
% 168.98/25.46  | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | REDUCE: (7206), (7208) imply:
% 168.98/25.46  | | | | | | | | | | | |   (7209)  $false
% 168.98/25.46  | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | CLOSE: (7209) is inconsistent.
% 168.98/25.46  | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | Case 2:
% 168.98/25.46  | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | |   (7210)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 168.98/25.46  | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | BETA: splitting (238) gives:
% 168.98/25.46  | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | Case 1:
% 168.98/25.46  | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | |   (7211)  all_54_10 = e0
% 168.98/25.46  | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | COMBINE_EQS: (530), (7211) imply:
% 168.98/25.46  | | | | | | | | | | | | |   (7212)  all_10_2 = e0
% 168.98/25.46  | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | REDUCE: (6417), (7212) imply:
% 168.98/25.46  | | | | | | | | | | | | |   (7213)  $false
% 168.98/25.46  | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | CLOSE: (7213) is inconsistent.
% 168.98/25.46  | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | Case 2:
% 168.98/25.46  | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | |   (7214)   ~ (all_54_10 = e0)
% 168.98/25.46  | | | | | | | | | | | | |   (7215)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 168.98/25.46  | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | BETA: splitting (241) gives:
% 168.98/25.46  | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | Case 1:
% 168.98/25.46  | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | |   (7216)  all_54_7 = e0
% 168.98/25.46  | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | COMBINE_EQS: (462), (7216) imply:
% 168.98/25.46  | | | | | | | | | | | | | |   (7217)  all_52_13 = e0
% 168.98/25.46  | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | SIMP: (7217) implies:
% 168.98/25.46  | | | | | | | | | | | | | |   (7218)  all_52_13 = e0
% 168.98/25.46  | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | COMBINE_EQS: (439), (7218) imply:
% 168.98/25.46  | | | | | | | | | | | | | |   (7219)  all_56_10 = e0
% 168.98/25.46  | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | COMBINE_EQS: (374), (7218) imply:
% 168.98/25.46  | | | | | | | | | | | | | |   (7220)  all_58_29 = e0
% 168.98/25.46  | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | REDUCE: (189), (7218) imply:
% 168.98/25.46  | | | | | | | | | | | | | |   (7221)   ~ (all_52_1 = e0)
% 168.98/25.46  | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | REDUCE: (161), (7218) imply:
% 168.98/25.46  | | | | | | | | | | | | | |   (7222)   ~ (all_52_9 = e0)
% 168.98/25.46  | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | REDUCE: (157), (7218) imply:
% 168.98/25.46  | | | | | | | | | | | | | |   (7223)   ~ (all_52_12 = e0)
% 168.98/25.46  | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | REDUCE: (154), (7218) imply:
% 168.98/25.46  | | | | | | | | | | | | | |   (7224)   ~ (all_52_14 = e0)
% 168.98/25.46  | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | SIMP: (7224) implies:
% 168.98/25.46  | | | | | | | | | | | | | |   (7225)   ~ (all_52_14 = e0)
% 168.98/25.46  | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | REDUCE: (577), (7218) imply:
% 168.98/25.46  | | | | | | | | | | | | | |   (7226)   ~ (all_14_2 = e0)
% 168.98/25.46  | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 168.98/25.46  | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | Case 1:
% 168.98/25.46  | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | |   (7227)  all_56_6 = e0
% 168.98/25.46  | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | | COMBINE_EQS: (413), (7227) imply:
% 168.98/25.46  | | | | | | | | | | | | | | |   (7228)  all_52_2 = e0
% 168.98/25.46  | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | | COMBINE_EQS: (371), (7228) imply:
% 168.98/25.46  | | | | | | | | | | | | | | |   (7229)  all_58_18 = e0
% 168.98/25.46  | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | | REDUCE: (188), (7228) imply:
% 168.98/25.46  | | | | | | | | | | | | | | |   (7230)   ~ (all_52_3 = e0)
% 168.98/25.46  | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | | SIMP: (7230) implies:
% 168.98/25.46  | | | | | | | | | | | | | | |   (7231)   ~ (all_52_3 = e0)
% 168.98/25.46  | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | | REDUCE: (546), (7228) imply:
% 168.98/25.46  | | | | | | | | | | | | | | |   (7232)   ~ (all_6_2 = e0)
% 168.98/25.46  | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | | SIMP: (7232) implies:
% 168.98/25.46  | | | | | | | | | | | | | | |   (7233)   ~ (all_6_2 = e0)
% 168.98/25.46  | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 168.98/25.46  | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | | Case 1:
% 168.98/25.46  | | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | | |   (7234)  all_56_4 = e0
% 168.98/25.46  | | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (51), (161), (164),
% 168.98/25.46  | | | | | | | | | | | | | | | |            (165), (189), (190), (192), (203), (236), (244),
% 168.98/25.46  | | | | | | | | | | | | | | | |            (248), (267), (269), (293), (295), (331), (332),
% 168.98/25.46  | | | | | | | | | | | | | | | |            (335), (341), (347), (351), (356), (374), (377),
% 168.98/25.46  | | | | | | | | | | | | | | | |            (389), (390), (395), (407), (411), (429), (435),
% 168.98/25.46  | | | | | | | | | | | | | | | |            (439), (441), (448), (465), (504), (530), (532),
% 168.98/25.46  | | | | | | | | | | | | | | | |            (533), (536), (537), (538), (539), (542), (544),
% 168.98/25.46  | | | | | | | | | | | | | | | |            (548), (552), (554), (557), (569), (570), (572),
% 168.98/25.46  | | | | | | | | | | | | | | | |            (574), (575), (577), (578), (629), (634), (767),
% 168.98/25.46  | | | | | | | | | | | | | | | |            (7184), (7185), (7188), (7204), (7205), (7206),
% 168.98/25.46  | | | | | | | | | | | | | | | |            (7210), (7215), (7220), (7225), (7227), (7229),
% 168.98/25.46  | | | | | | | | | | | | | | | |            (7231), (7234), (function-axioms) are inconsistent
% 168.98/25.46  | | | | | | | | | | | | | | | |            by sub-proof #10.
% 168.98/25.46  | | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | | Case 2:
% 168.98/25.46  | | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | | |   (7235)   ~ (all_56_4 = e0)
% 168.98/25.46  | | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | | | REDUCE: (429), (7235) imply:
% 168.98/25.46  | | | | | | | | | | | | | | | |   (7236)   ~ (all_52_8 = e0)
% 168.98/25.46  | | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (36), (156), (170), (179),
% 168.98/25.46  | | | | | | | | | | | | | | | |            (270), (290), (331), (333), (356), (368), (386),
% 168.98/25.46  | | | | | | | | | | | | | | | |            (390), (396), (429), (441), (533), (536), (537),
% 168.98/25.46  | | | | | | | | | | | | | | | |            (538), (540), (541), (558), (624), (5110), (7190),
% 168.98/25.46  | | | | | | | | | | | | | | | |            (7206), (7219), (7220), (7223), (7233), (7236),
% 168.98/25.46  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.98/25.46  | | | | | | | | | | | | | | | |            #37.
% 168.98/25.46  | | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | | End of split
% 168.98/25.46  | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | Case 2:
% 168.98/25.46  | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | |   (7237)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 168.98/25.46  | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (61), (154),
% 168.98/25.46  | | | | | | | | | | | | | | |            (156), (157), (161), (164), (165), (167), (169),
% 168.98/25.46  | | | | | | | | | | | | | | |            (170), (172), (177), (178), (179), (180), (183),
% 168.98/25.46  | | | | | | | | | | | | | | |            (185), (187), (188), (189), (190), (192), (193),
% 168.98/25.46  | | | | | | | | | | | | | | |            (203), (204), (207), (208), (211), (212), (237),
% 168.98/25.46  | | | | | | | | | | | | | | |            (240), (242), (243), (244), (246), (247), (248),
% 168.98/25.46  | | | | | | | | | | | | | | |            (270), (274), (275), (277), (278), (279), (280),
% 168.98/25.46  | | | | | | | | | | | | | | |            (281), (282), (285), (287), (289), (290), (291),
% 168.98/25.46  | | | | | | | | | | | | | | |            (293), (294), (295), (330), (331), (332), (333),
% 168.98/25.46  | | | | | | | | | | | | | | |            (334), (335), (341), (347), (348), (351), (356),
% 168.98/25.46  | | | | | | | | | | | | | | |            (368), (371), (374), (377), (386), (389), (390),
% 168.98/25.46  | | | | | | | | | | | | | | |            (395), (396), (407), (411), (413), (425), (429),
% 168.98/25.46  | | | | | | | | | | | | | | |            (431), (435), (439), (441), (446), (448), (451),
% 168.98/25.46  | | | | | | | | | | | | | | |            (453), (455), (463), (521), (531), (532), (533),
% 168.98/25.46  | | | | | | | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 168.98/25.46  | | | | | | | | | | | | | | |            (541), (542), (544), (546), (550), (552), (554),
% 168.98/25.46  | | | | | | | | | | | | | | |            (555), (556), (558), (560), (562), (564), (566),
% 168.98/25.46  | | | | | | | | | | | | | | |            (567), (569), (574), (576), (577), (578), (619),
% 168.98/25.46  | | | | | | | | | | | | | | |            (626), (628), (633), (684), (6411), (6416),
% 168.98/25.46  | | | | | | | | | | | | | | |            (6417), (7204), (7205), (7210), (7221), (7222),
% 168.98/25.46  | | | | | | | | | | | | | | |            (7223), (7225), (7237), (function-axioms) are
% 168.98/25.46  | | | | | | | | | | | | | | |            inconsistent by sub-proof #36.
% 168.98/25.46  | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | End of split
% 168.98/25.46  | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | Case 2:
% 168.98/25.46  | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | |   (7238)   ~ (all_54_7 = e0)
% 168.98/25.46  | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | REDUCE: (462), (7238) imply:
% 168.98/25.46  | | | | | | | | | | | | | |   (7239)   ~ (all_52_13 = e0)
% 168.98/25.46  | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 168.98/25.46  | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | Case 1:
% 168.98/25.46  | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | |   (7240)  all_54_12 = e0
% 168.98/25.46  | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | | COMBINE_EQS: (465), (7240) imply:
% 168.98/25.46  | | | | | | | | | | | | | | |   (7241)  all_52_3 = e0
% 168.98/25.46  | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | | COMBINE_EQS: (351), (7241) imply:
% 168.98/25.46  | | | | | | | | | | | | | | |   (7242)  all_56_12 = e0
% 168.98/25.46  | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | | REDUCE: (192), (7241) imply:
% 168.98/25.46  | | | | | | | | | | | | | | |   (7243)   ~ (all_52_1 = e0)
% 168.98/25.46  | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | | REDUCE: (188), (7241) imply:
% 168.98/25.46  | | | | | | | | | | | | | | |   (7244)   ~ (all_52_2 = e0)
% 168.98/25.46  | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | | REDUCE: (183), (7241) imply:
% 168.98/25.46  | | | | | | | | | | | | | | |   (7245)   ~ (all_52_11 = e0)
% 168.98/25.46  | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | | SIMP: (7245) implies:
% 168.98/25.46  | | | | | | | | | | | | | | |   (7246)   ~ (all_52_11 = e0)
% 168.98/25.46  | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | | REDUCE: (548), (7241) imply:
% 168.98/25.46  | | | | | | | | | | | | | | |   (7247)   ~ (all_6_2 = e0)
% 168.98/25.46  | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | | SIMP: (7247) implies:
% 168.98/25.46  | | | | | | | | | | | | | | |   (7248)   ~ (all_6_2 = e0)
% 168.98/25.46  | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (42), (62),
% 168.98/25.46  | | | | | | | | | | | | | | |            (154), (156), (161), (162), (164), (165), (167),
% 168.98/25.46  | | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 168.98/25.46  | | | | | | | | | | | | | | |            (189), (190), (193), (202), (207), (211), (212),
% 168.98/25.46  | | | | | | | | | | | | | | |            (234), (235), (244), (247), (248), (270), (272),
% 168.98/25.46  | | | | | | | | | | | | | | |            (273), (277), (281), (282), (285), (290), (291),
% 168.98/25.46  | | | | | | | | | | | | | | |            (293), (294), (295), (331), (332), (333), (341),
% 168.98/25.46  | | | | | | | | | | | | | | |            (347), (356), (368), (374), (377), (386), (390),
% 168.98/25.46  | | | | | | | | | | | | | | |            (395), (396), (411), (413), (425), (429), (431),
% 168.98/25.46  | | | | | | | | | | | | | | |            (435), (439), (441), (446), (448), (466), (468),
% 168.98/25.46  | | | | | | | | | | | | | | |            (521), (532), (533), (534), (535), (536), (537),
% 168.98/25.46  | | | | | | | | | | | | | | |            (538), (539), (540), (541), (544), (546), (550),
% 168.98/25.46  | | | | | | | | | | | | | | |            (552), (554), (555), (556), (558), (560), (562),
% 168.98/25.46  | | | | | | | | | | | | | | |            (568), (570), (572), (574), (575), (576), (577),
% 168.98/25.46  | | | | | | | | | | | | | | |            (578), (620), (624), (684), (5110), (6411),
% 168.98/25.46  | | | | | | | | | | | | | | |            (6416), (6417), (6420), (7190), (7205), (7210),
% 168.98/25.46  | | | | | | | | | | | | | | |            (7239), (7242), (7243), (7244), (7246), (7248),
% 168.98/25.46  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.98/25.46  | | | | | | | | | | | | | | |            #34.
% 168.98/25.46  | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | Case 2:
% 168.98/25.46  | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | |   (7249)   ~ (all_54_12 = e0)
% 168.98/25.46  | | | | | | | | | | | | | | |   (7250)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 168.98/25.46  | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | | REDUCE: (465), (7249) imply:
% 168.98/25.46  | | | | | | | | | | | | | | |   (7251)   ~ (all_52_3 = e0)
% 168.98/25.46  | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (42), (51),
% 168.98/25.46  | | | | | | | | | | | | | | |            (61), (62), (154), (156), (157), (161), (162),
% 168.98/25.46  | | | | | | | | | | | | | | |            (164), (165), (167), (169), (170), (172), (177),
% 168.98/25.46  | | | | | | | | | | | | | | |            (178), (179), (180), (183), (184), (185), (187),
% 168.98/25.46  | | | | | | | | | | | | | | |            (188), (189), (190), (192), (193), (202), (203),
% 168.98/25.46  | | | | | | | | | | | | | | |            (204), (208), (212), (213), (234), (236), (239),
% 168.98/25.46  | | | | | | | | | | | | | | |            (241), (242), (244), (245), (246), (247), (248),
% 168.98/25.46  | | | | | | | | | | | | | | |            (267), (269), (270), (271), (272), (273), (276),
% 168.98/25.46  | | | | | | | | | | | | | | |            (277), (278), (279), (281), (282), (284), (285),
% 168.98/25.46  | | | | | | | | | | | | | | |            (286), (287), (289), (290), (291), (293), (295),
% 168.98/25.46  | | | | | | | | | | | | | | |            (330), (331), (332), (333), (334), (335), (341),
% 168.98/25.46  | | | | | | | | | | | | | | |            (347), (348), (351), (356), (368), (371), (374),
% 168.98/25.46  | | | | | | | | | | | | | | |            (377), (386), (389), (390), (395), (396), (407),
% 168.98/25.46  | | | | | | | | | | | | | | |            (411), (413), (425), (429), (431), (435), (439),
% 168.98/25.46  | | | | | | | | | | | | | | |            (441), (446), (448), (451), (453), (456), (460),
% 168.98/25.46  | | | | | | | | | | | | | | |            (462), (465), (468), (530), (532), (533), (534),
% 168.98/25.46  | | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (540), (541),
% 168.98/25.46  | | | | | | | | | | | | | | |            (542), (544), (546), (548), (550), (552), (554),
% 168.98/25.46  | | | | | | | | | | | | | | |            (556), (557), (558), (562), (564), (566), (567),
% 168.98/25.46  | | | | | | | | | | | | | | |            (568), (569), (570), (572), (574), (575), (576),
% 168.98/25.46  | | | | | | | | | | | | | | |            (577), (578), (619), (620), (621), (624), (625),
% 168.98/25.46  | | | | | | | | | | | | | | |            (629), (630), (631), (632), (5110), (6417),
% 168.98/25.46  | | | | | | | | | | | | | | |            (6420), (7185), (7190), (7204), (7205), (7210),
% 168.98/25.46  | | | | | | | | | | | | | | |            (7215), (7239), (7250), (7251), (function-axioms)
% 168.98/25.46  | | | | | | | | | | | | | | |            are inconsistent by sub-proof #63.
% 168.98/25.46  | | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | | End of split
% 168.98/25.46  | | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | | End of split
% 168.98/25.46  | | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | | End of split
% 168.98/25.46  | | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | | End of split
% 168.98/25.46  | | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | End of split
% 168.98/25.46  | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | Case 2:
% 168.98/25.46  | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | |   (7252)  all_48_2 = e1
% 168.98/25.46  | | | | | | | | | |   (7253)   ~ (all_48_0 = e3) |  ~ (all_48_1 = e2)
% 168.98/25.46  | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | COMBINE_EQS: (478), (7252) imply:
% 168.98/25.46  | | | | | | | | | |   (7254)  all_14_2 = e1
% 168.98/25.46  | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | SIMP: (7254) implies:
% 168.98/25.46  | | | | | | | | | |   (7255)  all_14_2 = e1
% 168.98/25.46  | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | COMBINE_EQS: (525), (7255) imply:
% 168.98/25.46  | | | | | | | | | |   (7256)  all_50_2 = e1
% 168.98/25.46  | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | COMBINE_EQS: (533), (7255) imply:
% 168.98/25.46  | | | | | | | | | |   (7257)  all_56_15 = e1
% 168.98/25.46  | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | COMBINE_EQS: (537), (7255) imply:
% 168.98/25.46  | | | | | | | | | |   (7258)  all_58_31 = e1
% 168.98/25.46  | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | REDUCE: (557), (7255) imply:
% 168.98/25.46  | | | | | | | | | |   (7259)   ~ (all_52_3 = e1)
% 168.98/25.46  | | | | | | | | | | 
% 168.98/25.46  | | | | | | | | | | REDUCE: (568), (7255) imply:
% 168.98/25.47  | | | | | | | | | |   (7260)   ~ (all_52_7 = e1)
% 168.98/25.47  | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | REDUCE: (575), (7255) imply:
% 168.98/25.47  | | | | | | | | | |   (7261)   ~ (all_52_11 = e1)
% 168.98/25.47  | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | REDUCE: (576), (7255) imply:
% 168.98/25.47  | | | | | | | | | |   (7262)   ~ (all_52_12 = e1)
% 168.98/25.47  | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | REDUCE: (577), (7255) imply:
% 168.98/25.47  | | | | | | | | | |   (7263)   ~ (all_52_13 = e1)
% 168.98/25.47  | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | REDUCE: (578), (7255) imply:
% 168.98/25.47  | | | | | | | | | |   (7264)   ~ (all_52_14 = e1)
% 168.98/25.47  | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | REDUCE: (63), (7255) imply:
% 168.98/25.47  | | | | | | | | | |   (7265)  op(all_14_1, e1) = all_14_0
% 168.98/25.47  | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | REDUCE: (62), (7255) imply:
% 168.98/25.47  | | | | | | | | | |   (7266)  op(e1, e0) = all_14_1
% 168.98/25.47  | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | REDUCE: (634), (7255) imply:
% 168.98/25.47  | | | | | | | | | |   (7267)  op(e0, e1) = all_58_15
% 168.98/25.47  | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 168.98/25.47  | | | | | | | | | |              all_58_15, e1, e0, simplifying with (201), (7267)
% 168.98/25.47  | | | | | | | | | |              gives:
% 168.98/25.47  | | | | | | | | | |   (7268)  all_58_15 = all_52_11
% 168.98/25.47  | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 168.98/25.47  | | | | | | | | | |              all_14_1, e0, e1, simplifying with (204), (7266)
% 168.98/25.47  | | | | | | | | | |              gives:
% 168.98/25.47  | | | | | | | | | |   (7269)  all_52_14 = all_14_1
% 168.98/25.47  | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | COMBINE_EQS: (463), (7269) imply:
% 168.98/25.47  | | | | | | | | | |   (7270)  all_54_11 = all_14_1
% 168.98/25.47  | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | COMBINE_EQS: (441), (7269) imply:
% 168.98/25.47  | | | | | | | | | |   (7271)  all_56_11 = all_14_1
% 168.98/25.47  | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | COMBINE_EQS: (356), (7269) imply:
% 168.98/25.47  | | | | | | | | | |   (7272)  all_58_30 = all_14_1
% 168.98/25.47  | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | REDUCE: (185), (7269) imply:
% 168.98/25.47  | | | | | | | | | |   (7273)   ~ (all_52_2 = all_14_1)
% 168.98/25.47  | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | REDUCE: (170), (7269) imply:
% 168.98/25.47  | | | | | | | | | |   (7274)   ~ (all_52_6 = all_14_1)
% 168.98/25.47  | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | REDUCE: (156), (7269) imply:
% 168.98/25.47  | | | | | | | | | |   (7275)   ~ (all_52_12 = all_14_1)
% 168.98/25.47  | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | REDUCE: (154), (7269) imply:
% 168.98/25.47  | | | | | | | | | |   (7276)   ~ (all_52_13 = all_14_1)
% 168.98/25.47  | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | REDUCE: (574), (7269) imply:
% 168.98/25.47  | | | | | | | | | |   (7277)   ~ (all_14_1 = all_10_2)
% 168.98/25.47  | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | BETA: splitting (150) gives:
% 168.98/25.47  | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | Case 1:
% 168.98/25.47  | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | |   (7278)   ~ (all_50_2 = e1)
% 168.98/25.47  | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | REDUCE: (7256), (7278) imply:
% 168.98/25.47  | | | | | | | | | | |   (7279)  $false
% 168.98/25.47  | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | CLOSE: (7279) is inconsistent.
% 168.98/25.47  | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | Case 2:
% 168.98/25.47  | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | |   (7280)   ~ (all_50_0 = e2) |  ~ (all_50_1 = e3)
% 168.98/25.47  | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | BETA: splitting (238) gives:
% 168.98/25.47  | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | Case 1:
% 168.98/25.47  | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | |   (7281)  all_54_10 = e0
% 168.98/25.47  | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | REF_CLOSE: (530), (6417), (7281) are inconsistent by
% 168.98/25.47  | | | | | | | | | | | |            sub-proof #909.
% 168.98/25.47  | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | Case 2:
% 168.98/25.47  | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | |   (7282)   ~ (all_54_10 = e0)
% 168.98/25.47  | | | | | | | | | | | |   (7283)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 168.98/25.47  | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | BETA: splitting (241) gives:
% 168.98/25.47  | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | Case 1:
% 168.98/25.47  | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | |   (7284)  all_54_7 = e0
% 168.98/25.47  | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | COMBINE_EQS: (462), (7284) imply:
% 168.98/25.47  | | | | | | | | | | | | |   (7285)  all_52_13 = e0
% 168.98/25.47  | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | SIMP: (7285) implies:
% 168.98/25.47  | | | | | | | | | | | | |   (7286)  all_52_13 = e0
% 168.98/25.47  | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | COMBINE_EQS: (439), (7286) imply:
% 168.98/25.47  | | | | | | | | | | | | |   (7287)  all_56_10 = e0
% 168.98/25.47  | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | COMBINE_EQS: (374), (7286) imply:
% 168.98/25.47  | | | | | | | | | | | | |   (7288)  all_58_29 = e0
% 168.98/25.47  | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | REDUCE: (161), (7286) imply:
% 168.98/25.47  | | | | | | | | | | | | |   (7289)   ~ (all_52_9 = e0)
% 168.98/25.47  | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | REDUCE: (157), (7286) imply:
% 168.98/25.47  | | | | | | | | | | | | |   (7290)   ~ (all_52_12 = e0)
% 168.98/25.47  | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | REDUCE: (7276), (7286) imply:
% 168.98/25.47  | | | | | | | | | | | | |   (7291)   ~ (all_14_1 = e0)
% 168.98/25.47  | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | SIMP: (7291) implies:
% 168.98/25.47  | | | | | | | | | | | | |   (7292)   ~ (all_14_1 = e0)
% 168.98/25.47  | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | REDUCE: (566), (7286) imply:
% 168.98/25.47  | | | | | | | | | | | | |   (7293)   ~ (all_4_2 = e0)
% 168.98/25.47  | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | SIMP: (7293) implies:
% 168.98/25.47  | | | | | | | | | | | | |   (7294)   ~ (all_4_2 = e0)
% 168.98/25.47  | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | REDUCE: (7263), (7286) imply:
% 168.98/25.47  | | | | | | | | | | | | |   (7295)   ~ (e1 = e0)
% 168.98/25.47  | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | REF_CLOSE: (4), (5), (42), (157), (162), (164), (165), (167),
% 168.98/25.47  | | | | | | | | | | | | |            (169), (172), (177), (178), (180), (183), (184),
% 168.98/25.47  | | | | | | | | | | | | |            (185), (187), (189), (190), (192), (193), (207),
% 168.98/25.47  | | | | | | | | | | | | |            (209), (211), (234), (237), (239), (240), (242),
% 168.98/25.47  | | | | | | | | | | | | |            (244), (246), (247), (248), (274), (277), (278),
% 168.98/25.47  | | | | | | | | | | | | |            (280), (281), (282), (284), (285), (286), (291),
% 168.98/25.47  | | | | | | | | | | | | |            (293), (295), (331), (332), (333), (335), (347),
% 168.98/25.47  | | | | | | | | | | | | |            (348), (351), (356), (368), (371), (374), (377),
% 168.98/25.47  | | | | | | | | | | | | |            (386), (389), (395), (396), (407), (411), (413),
% 168.98/25.47  | | | | | | | | | | | | |            (425), (429), (431), (435), (439), (446), (448),
% 168.98/25.47  | | | | | | | | | | | | |            (451), (453), (455), (456), (468), (521), (530),
% 168.98/25.47  | | | | | | | | | | | | |            (532), (534), (535), (536), (537), (538), (539),
% 168.98/25.47  | | | | | | | | | | | | |            (540), (541), (542), (544), (546), (548), (550),
% 168.98/25.47  | | | | | | | | | | | | |            (552), (554), (555), (556), (558), (560), (564),
% 168.98/25.47  | | | | | | | | | | | | |            (566), (567), (569), (570), (572), (574), (577),
% 168.98/25.47  | | | | | | | | | | | | |            (684), (691), (729), (6411), (6416), (6417),
% 168.98/25.47  | | | | | | | | | | | | |            (6418), (6420), (7253), (7258), (7259), (7260),
% 168.98/25.47  | | | | | | | | | | | | |            (7261), (7265), (7270), (7272), (7273), (7274),
% 168.98/25.47  | | | | | | | | | | | | |            (7275), (7283), (7287), (7288), (7289), (7290),
% 168.98/25.47  | | | | | | | | | | | | |            (7292), (7294), (function-axioms) are inconsistent
% 168.98/25.47  | | | | | | | | | | | | |            by sub-proof #26.
% 168.98/25.47  | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | Case 2:
% 168.98/25.47  | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | |   (7296)   ~ (all_54_7 = e0)
% 168.98/25.47  | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | REDUCE: (462), (7296) imply:
% 168.98/25.47  | | | | | | | | | | | | |   (7297)   ~ (all_52_13 = e0)
% 168.98/25.47  | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | BETA: splitting (236) gives:
% 168.98/25.47  | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | Case 1:
% 168.98/25.47  | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | |   (7298)  all_54_12 = e0
% 168.98/25.47  | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | COMBINE_EQS: (465), (7298) imply:
% 168.98/25.47  | | | | | | | | | | | | | |   (7299)  all_52_3 = e0
% 168.98/25.47  | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | SIMP: (7299) implies:
% 168.98/25.47  | | | | | | | | | | | | | |   (7300)  all_52_3 = e0
% 168.98/25.47  | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (42), (154), (156),
% 168.98/25.47  | | | | | | | | | | | | | |            (162), (164), (165), (167), (169), (170), (172),
% 168.98/25.47  | | | | | | | | | | | | | |            (178), (179), (180), (183), (188), (189), (190),
% 168.98/25.47  | | | | | | | | | | | | | |            (192), (193), (201), (202), (207), (211), (234),
% 168.98/25.47  | | | | | | | | | | | | | |            (235), (244), (247), (248), (270), (273), (277),
% 168.98/25.47  | | | | | | | | | | | | | |            (281), (282), (285), (290), (291), (292), (293),
% 168.98/25.47  | | | | | | | | | | | | | |            (294), (295), (331), (332), (333), (347), (351),
% 168.98/25.47  | | | | | | | | | | | | | |            (356), (368), (374), (377), (386), (390), (395),
% 168.98/25.47  | | | | | | | | | | | | | |            (396), (411), (413), (425), (429), (431), (435),
% 168.98/25.47  | | | | | | | | | | | | | |            (439), (441), (446), (448), (466), (468), (521),
% 168.98/25.47  | | | | | | | | | | | | | |            (532), (533), (534), (535), (536), (537), (538),
% 168.98/25.47  | | | | | | | | | | | | | |            (539), (540), (541), (544), (546), (548), (550),
% 168.98/25.47  | | | | | | | | | | | | | |            (552), (554), (555), (556), (558), (560), (562),
% 168.98/25.47  | | | | | | | | | | | | | |            (568), (569), (570), (572), (574), (576), (684),
% 168.98/25.47  | | | | | | | | | | | | | |            (5110), (6411), (6416), (6417), (6420), (7259),
% 168.98/25.47  | | | | | | | | | | | | | |            (7262), (7263), (7265), (7271), (7297), (7300),
% 168.98/25.47  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.98/25.47  | | | | | | | | | | | | | |            #25.
% 168.98/25.47  | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | Case 2:
% 168.98/25.47  | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | |   (7301)   ~ (all_54_12 = e0)
% 168.98/25.47  | | | | | | | | | | | | | |   (7302)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 168.98/25.47  | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | REDUCE: (465), (7301) imply:
% 168.98/25.47  | | | | | | | | | | | | | |   (7303)   ~ (all_52_3 = e0)
% 168.98/25.47  | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 168.98/25.47  | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | Case 1:
% 168.98/25.47  | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | |   (7304)  all_54_3 = e0
% 168.98/25.47  | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (154), (157), (161), (164), (167),
% 168.98/25.47  | | | | | | | | | | | | | | |            (172), (178), (180), (187), (188), (189), (192),
% 168.98/25.47  | | | | | | | | | | | | | | |            (193), (213), (239), (242), (246), (248), (269),
% 168.98/25.47  | | | | | | | | | | | | | | |            (272), (273), (281), (282), (284), (286), (289),
% 168.98/25.47  | | | | | | | | | | | | | | |            (292), (294), (331), (333), (334), (335), (351),
% 168.98/25.47  | | | | | | | | | | | | | | |            (356), (368), (371), (374), (377), (386), (389),
% 168.98/25.47  | | | | | | | | | | | | | | |            (390), (395), (396), (407), (411), (413), (425),
% 168.98/25.47  | | | | | | | | | | | | | | |            (429), (431), (439), (451), (453), (456), (460),
% 168.98/25.47  | | | | | | | | | | | | | | |            (465), (530), (532), (535), (536), (538), (539),
% 168.98/25.47  | | | | | | | | | | | | | | |            (540), (541), (542), (544), (546), (548), (550),
% 168.98/25.47  | | | | | | | | | | | | | | |            (552), (554), (556), (558), (560), (566), (567),
% 168.98/25.47  | | | | | | | | | | | | | | |            (569), (570), (692), (769), (6418), (6420),
% 168.98/25.47  | | | | | | | | | | | | | | |            (7257), (7258), (7262), (7263), (7265), (7271),
% 168.98/25.47  | | | | | | | | | | | | | | |            (7272), (7273), (7274), (7280), (7283), (7302),
% 168.98/25.47  | | | | | | | | | | | | | | |            (7303), (7304), (function-axioms) are inconsistent
% 168.98/25.47  | | | | | | | | | | | | | | |            by sub-proof #15.
% 168.98/25.47  | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | Case 2:
% 168.98/25.47  | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | |   (7305)   ~ (all_54_3 = e0)
% 168.98/25.47  | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | REDUCE: (460), (7305) imply:
% 168.98/25.47  | | | | | | | | | | | | | | |   (7306)   ~ (all_52_12 = e0)
% 168.98/25.47  | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | BETA: splitting (266) gives:
% 168.98/25.47  | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | Case 1:
% 168.98/25.47  | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | |   (7307)  all_56_15 = e0
% 168.98/25.47  | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7257), (7307) are inconsistent by sub-proof
% 168.98/25.47  | | | | | | | | | | | | | | | |            #657.
% 168.98/25.47  | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | Case 2:
% 168.98/25.47  | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | |   (7308)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 168.98/25.47  | | | | | | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 168.98/25.47  | | | | | | | | | | | | | | | |             e0)
% 168.98/25.47  | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | ALPHA: (7308) implies:
% 168.98/25.47  | | | | | | | | | | | | | | | |   (7309)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 168.98/25.47  | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | BETA: splitting (7309) gives:
% 168.98/25.47  | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | Case 1:
% 168.98/25.47  | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | |   (7310)  all_56_9 = e0
% 168.98/25.47  | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (7310) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | |   (7311)  all_52_12 = e0
% 168.98/25.47  | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | REDUCE: (7306), (7311) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | |   (7312)  $false
% 168.98/25.47  | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | CLOSE: (7312) is inconsistent.
% 168.98/25.47  | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | Case 2:
% 168.98/25.47  | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | |   (7313)  all_56_10 = e0 | all_56_11 = e0
% 168.98/25.47  | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | BETA: splitting (7313) gives:
% 168.98/25.47  | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | Case 1:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | |   (7314)  all_56_10 = e0
% 168.98/25.47  | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (7314) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | |   (7315)  all_52_13 = e0
% 168.98/25.47  | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | REDUCE: (7297), (7315) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | |   (7316)  $false
% 168.98/25.47  | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | CLOSE: (7316) is inconsistent.
% 168.98/25.47  | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | Case 2:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | |   (7317)  all_56_11 = e0
% 168.98/25.47  | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7271), (7317) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | |   (7318)  all_14_1 = e0
% 168.98/25.47  | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | REDUCE: (7273), (7318) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | |   (7319)   ~ (all_52_2 = e0)
% 168.98/25.47  | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | REDUCE: (7277), (7318) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | |   (7320)   ~ (all_10_2 = e0)
% 168.98/25.47  | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | REDUCE: (6420), (7318) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | |   (7321)   ~ (e1 = e0)
% 168.98/25.47  | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | REDUCE: (7265), (7318) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | |   (7322)  op(e0, e1) = all_14_0
% 168.98/25.47  | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 168.98/25.47  | | | | | | | | | | | | | | | | | |              all_14_0, e1, e0, simplifying with (201), (7322)
% 168.98/25.47  | | | | | | | | | | | | | | | | | |              gives:
% 168.98/25.47  | | | | | | | | | | | | | | | | | |   (7323)  all_52_11 = all_14_0
% 168.98/25.47  | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (468), (7323) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | |   (7324)  all_54_14 = all_14_0
% 168.98/25.47  | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (7323) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | |   (7325)  all_58_27 = all_14_0
% 168.98/25.47  | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | REDUCE: (183), (7323) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | |   (7326)   ~ (all_52_3 = all_14_0)
% 168.98/25.47  | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | REDUCE: (165), (7323) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | |   (7327)   ~ (all_52_8 = all_14_0)
% 168.98/25.47  | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | REDUCE: (162), (7323) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | |   (7328)   ~ (all_52_9 = all_14_0)
% 168.98/25.47  | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | REDUCE: (572), (7323) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | |   (7329)   ~ (all_14_0 = all_10_2)
% 168.98/25.47  | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | Case 1:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | |   (7330)  all_56_0 = e0
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (7330) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | |   (7331)  all_6_2 = e0
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (7331) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | |   (7332)  all_58_16 = e0
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | REDUCE: (544), (7331) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | |   (7333)   ~ (all_52_1 = e0)
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | REDUCE: (552), (7331) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | |   (7334)   ~ (all_52_8 = e0)
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | REDUCE: (6413), (7331) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | |   (7335)  op(all_6_1, e0) = e0
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | REDUCE: (42), (7331) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | |   (7336)  op(e0, e3) = all_6_1
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | REDUCE: (619), (7331) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | |   (7337)  op(e3, e0) = all_58_0
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (192), (202), (203), (212), (234), (269), (277),
% 168.98/25.47  | | | | | | | | | | | | | | | | | | |            (281), (291), (332), (335), (351), (371), (377),
% 168.98/25.47  | | | | | | | | | | | | | | | | | | |            (389), (395), (411), (413), (429), (431), (439),
% 168.98/25.47  | | | | | | | | | | | | | | | | | | |            (465), (535), (539), (542), (556), (562), (5110),
% 168.98/25.47  | | | | | | | | | | | | | | | | | | |            (6417), (6418), (7259), (7297), (7302), (7303),
% 168.98/25.47  | | | | | | | | | | | | | | | | | | |            (7306), (7324), (7325), (7326), (7327), (7328),
% 168.98/25.47  | | | | | | | | | | | | | | | | | | |            (7329), (7330), (7332), (7333), (7334), (7335),
% 168.98/25.47  | | | | | | | | | | | | | | | | | | |            (7336), (7337), (function-axioms) are inconsistent
% 168.98/25.47  | | | | | | | | | | | | | | | | | | |            by sub-proof #13.
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | Case 2:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | |   (7338)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | BETA: splitting (7338) gives:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | Case 1:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | |   (7339)  all_56_2 = e0
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (7339) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | |   (7340)  all_52_1 = e0
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (7340) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | |   (7341)  all_58_17 = e0
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | REDUCE: (193), (7340) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | |   (7342)   ~ (all_52_2 = e0)
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (7340) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | |   (7343)   ~ (all_52_3 = e0)
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (7340) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | |   (7344)   ~ (all_6_2 = e0)
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | SIMP: (7344) implies:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | |   (7345)   ~ (all_6_2 = e0)
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | |   (7346)  all_56_1 = e0
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (179), (187), (188),
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | |            (286), (291), (333), (335), (348), (351), (368),
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | |            (371), (386), (396), (407), (413), (425), (535),
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | |            (536), (540), (541), (542), (546), (7259), (7260),
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | |            (7303), (7319), (7339), (7341), (7346) are
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #12.
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | |   (7347)   ~ (all_56_1 = e0)
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | REDUCE: (396), (7347) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | |   (7348)   ~ (all_52_4 = e0)
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | |   (7349)  all_56_4 = e0
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (7349) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | |   (7350)  all_52_8 = e0
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (7350) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | |   (7351)  all_58_24 = e0
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7327), (7350) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | |   (7352)   ~ (all_14_0 = e0)
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | SIMP: (7352) implies:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | |   (7353)   ~ (all_14_0 = e0)
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | |   (7354)  all_56_0 = e1
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (7354) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | |   (7355)  all_6_2 = e1
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (335), (371), (407), (542), (546),
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | |            (7303), (7341), (7355) are inconsistent by
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #936.
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | |   (7356)   ~ (all_56_0 = e1)
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (7356) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | |   (7357)   ~ (all_6_2 = e1)
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | |   (7358)  all_56_0 = e1
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (7358) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | |   (7359)  all_6_2 = e1
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7357), (7359) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | |   (7360)  $false
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7360) is inconsistent.
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | |   (7361)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7361) gives:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (7362)  all_56_1 = e1
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (7362) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (7363)  all_52_4 = e1
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (558), (7363) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (7364)   ~ (all_4_2 = e1)
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7364) implies:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (7365)   ~ (all_4_2 = e1)
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (282) gives:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7366)  all_56_2 = e1
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7339), (7366) are inconsistent by sub-proof
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | |            #935.
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7367)  all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7367) gives:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7368)  all_56_3 = e1
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (7368) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7369)  all_4_2 = e1
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7365), (7369) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7370)  $false
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7370) is inconsistent.
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7371)  all_56_5 = e1 | all_56_10 = e1
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7371) gives:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7372)  all_56_5 = e1
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (7372) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7373)  all_52_9 = e1
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7373) implies:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7374)  all_52_9 = e1
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (377), (7374) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7375)  all_58_25 = e1
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (570), (7374) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7376)   ~ (all_10_2 = e1)
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7376) implies:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7377)   ~ (all_10_2 = e1)
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7378)  all_58_27 = e0
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7325), (7378) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7379)  all_14_0 = e0
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7353), (7379) imply:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7380)  $false
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7380) is inconsistent.
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7381)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 168.98/25.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (539), (7351), (7375), (7377), (7381)
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #69.
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7382)  all_56_10 = e1
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (439), (7263), (7382) are inconsistent by
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #682.
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (7383)  all_56_4 = e1 | all_56_9 = e1
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (390), (7262), (7349), (7383) are
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #674.
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | |   (7384)   ~ (all_56_4 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (429), (7384) imply:
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | |   (7385)   ~ (all_52_8 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (290), (390), (396), (429), (536), (7306), (7345),
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | |            (7348), (7385) are inconsistent by sub-proof #465.
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | End of split
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | End of split
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | Case 2:
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | |   (7386)  all_56_6 = e0 | all_56_12 = e0
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (413), (7303), (7319), (7386) are
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #918.
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | End of split
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | End of split
% 168.98/25.48  | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | End of split
% 168.98/25.48  | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | End of split
% 168.98/25.48  | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | End of split
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | End of split
% 168.98/25.48  | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | End of split
% 168.98/25.48  | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | End of split
% 168.98/25.48  | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | End of split
% 168.98/25.48  | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | End of split
% 168.98/25.48  | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | End of split
% 168.98/25.48  | | | | | | | | | 
% 168.98/25.48  | | | | | | | | End of split
% 168.98/25.48  | | | | | | | | 
% 168.98/25.48  | | | | | | | End of split
% 168.98/25.48  | | | | | | | 
% 168.98/25.48  | | | | | | Case 2:
% 168.98/25.48  | | | | | | | 
% 168.98/25.48  | | | | | | |   (7387)  all_18_1 = e1
% 168.98/25.48  | | | | | | | 
% 168.98/25.48  | | | | | | | COMBINE_EQS: (650), (7387) imply:
% 168.98/25.48  | | | | | | |   (7388)  all_14_1 = e1
% 168.98/25.48  | | | | | | | 
% 168.98/25.48  | | | | | | | SIMP: (7388) implies:
% 168.98/25.48  | | | | | | |   (7389)  all_14_1 = e1
% 168.98/25.48  | | | | | | | 
% 168.98/25.48  | | | | | | | COMBINE_EQS: (686), (7389) imply:
% 168.98/25.48  | | | | | | |   (7390)  all_28_1 = e1
% 168.98/25.48  | | | | | | | 
% 168.98/25.48  | | | | | | | REDUCE: (63), (7389) imply:
% 168.98/25.48  | | | | | | |   (7391)  op(e1, all_14_2) = all_14_0
% 168.98/25.48  | | | | | | | 
% 168.98/25.48  | | | | | | | REDUCE: (62), (7389) imply:
% 168.98/25.48  | | | | | | |   (7392)  op(all_14_2, e0) = e1
% 168.98/25.48  | | | | | | | 
% 168.98/25.48  | | | | | | | BETA: splitting (79) gives:
% 168.98/25.48  | | | | | | | 
% 168.98/25.48  | | | | | | | Case 1:
% 168.98/25.48  | | | | | | | | 
% 168.98/25.48  | | | | | | | |   (7393)   ~ (all_20_1 = e0)
% 168.98/25.48  | | | | | | | | 
% 168.98/25.48  | | | | | | | | REDUCE: (682), (7393) imply:
% 168.98/25.48  | | | | | | | |   (7394)   ~ (all_10_1 = e0)
% 168.98/25.48  | | | | | | | | 
% 168.98/25.48  | | | | | | | | BETA: splitting (99) gives:
% 168.98/25.48  | | | | | | | | 
% 168.98/25.48  | | | | | | | | Case 1:
% 168.98/25.48  | | | | | | | | | 
% 168.98/25.48  | | | | | | | | |   (7395)   ~ (all_28_1 = e1)
% 168.98/25.48  | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | REDUCE: (7390), (7395) imply:
% 168.98/25.48  | | | | | | | | |   (7396)  $false
% 168.98/25.48  | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | CLOSE: (7396) is inconsistent.
% 168.98/25.48  | | | | | | | | | 
% 168.98/25.48  | | | | | | | | Case 2:
% 168.98/25.48  | | | | | | | | | 
% 168.98/25.48  | | | | | | | | |   (7397)   ~ (all_28_0 = e2) |  ~ (all_28_2 = e3)
% 168.98/25.48  | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | BETA: splitting (136) gives:
% 168.98/25.48  | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | Case 1:
% 168.98/25.48  | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | |   (7398)   ~ (all_44_1 = e0)
% 168.98/25.48  | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | REDUCE: (5108), (7398) imply:
% 168.98/25.48  | | | | | | | | | |   (7399)  $false
% 168.98/25.48  | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | CLOSE: (7399) is inconsistent.
% 168.98/25.48  | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | Case 2:
% 168.98/25.48  | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | |   (7400)   ~ (all_44_0 = e1) |  ~ (all_44_2 = e3)
% 168.98/25.48  | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | BETA: splitting (266) gives:
% 168.98/25.48  | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | Case 1:
% 168.98/25.48  | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | |   (7401)  all_56_15 = e0
% 168.98/25.48  | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | REF_CLOSE: (4), (61), (533), (634), (7392), (7401),
% 168.98/25.48  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 168.98/25.48  | | | | | | | | | | |            #437.
% 168.98/25.48  | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | Case 2:
% 168.98/25.48  | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | |   (7402)   ~ (all_56_15 = e0)
% 168.98/25.48  | | | | | | | | | | |   (7403)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 168.98/25.48  | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 168.98/25.48  | | | | | | | | | | |             e0)
% 168.98/25.48  | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | ALPHA: (7403) implies:
% 168.98/25.48  | | | | | | | | | | |   (7404)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 168.98/25.48  | | | | | | | | | | |   (7405)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 168.98/25.48  | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | REDUCE: (533), (7402) imply:
% 168.98/25.48  | | | | | | | | | | |   (7406)   ~ (all_14_2 = e0)
% 168.98/25.48  | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | BETA: splitting (238) gives:
% 168.98/25.48  | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | Case 1:
% 168.98/25.48  | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | |   (7407)  all_54_10 = e0
% 168.98/25.48  | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | COMBINE_EQS: (530), (7407) imply:
% 168.98/25.48  | | | | | | | | | | | |   (7408)  all_10_2 = e0
% 168.98/25.48  | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | REDUCE: (6417), (7408) imply:
% 168.98/25.48  | | | | | | | | | | | |   (7409)  $false
% 168.98/25.48  | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | CLOSE: (7409) is inconsistent.
% 168.98/25.48  | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | Case 2:
% 168.98/25.48  | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | |   (7410)   ~ (all_54_10 = e0)
% 168.98/25.48  | | | | | | | | | | | |   (7411)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 168.98/25.48  | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | BETA: splitting (233) gives:
% 168.98/25.48  | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | Case 1:
% 168.98/25.48  | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | |   (7412)  all_54_15 = e0
% 168.98/25.48  | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | COMBINE_EQS: (341), (7412) imply:
% 168.98/25.48  | | | | | | | | | | | | |   (7413)  all_14_2 = e0
% 168.98/25.48  | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | REDUCE: (7406), (7413) imply:
% 168.98/25.48  | | | | | | | | | | | | |   (7414)  $false
% 168.98/25.48  | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | CLOSE: (7414) is inconsistent.
% 168.98/25.48  | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | Case 2:
% 168.98/25.48  | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | |   (7415)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 168.98/25.48  | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | BETA: splitting (241) gives:
% 168.98/25.48  | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | Case 1:
% 168.98/25.48  | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | |   (7416)  all_54_7 = e0
% 168.98/25.48  | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | COMBINE_EQS: (462), (7416) imply:
% 168.98/25.48  | | | | | | | | | | | | | |   (7417)  all_52_13 = e0
% 168.98/25.48  | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | SIMP: (7417) implies:
% 168.98/25.48  | | | | | | | | | | | | | |   (7418)  all_52_13 = e0
% 168.98/25.48  | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | COMBINE_EQS: (439), (7418) imply:
% 168.98/25.48  | | | | | | | | | | | | | |   (7419)  all_56_10 = e0
% 168.98/25.48  | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | COMBINE_EQS: (374), (7418) imply:
% 168.98/25.48  | | | | | | | | | | | | | |   (7420)  all_58_29 = e0
% 168.98/25.48  | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | REDUCE: (189), (7418) imply:
% 168.98/25.48  | | | | | | | | | | | | | |   (7421)   ~ (all_52_1 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | REDUCE: (161), (7418) imply:
% 168.98/25.48  | | | | | | | | | | | | | |   (7422)   ~ (all_52_9 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | REDUCE: (157), (7418) imply:
% 168.98/25.48  | | | | | | | | | | | | | |   (7423)   ~ (all_52_12 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | REDUCE: (154), (7418) imply:
% 168.98/25.48  | | | | | | | | | | | | | |   (7424)   ~ (all_52_14 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | SIMP: (7424) implies:
% 168.98/25.48  | | | | | | | | | | | | | |   (7425)   ~ (all_52_14 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | REDUCE: (577), (7418) imply:
% 168.98/25.48  | | | | | | | | | | | | | |   (7426)   ~ (all_14_2 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | REDUCE: (626), (7418) imply:
% 168.98/25.48  | | | | | | | | | | | | | |   (7427)  op(e2, e0) = all_58_7
% 168.98/25.48  | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | REDUCE: (208), (7418) imply:
% 168.98/25.48  | | | | | | | | | | | | | |   (7428)  op(e2, e0) = e0
% 168.98/25.48  | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_58_7,
% 168.98/25.48  | | | | | | | | | | | | | |              e0, e2, simplifying with (7427), (7428) gives:
% 168.98/25.48  | | | | | | | | | | | | | |   (7429)  all_58_7 = e0
% 168.98/25.48  | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 168.98/25.48  | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | Case 1:
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | |   (7430)  all_56_6 = e0
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | COMBINE_EQS: (413), (7430) imply:
% 168.98/25.48  | | | | | | | | | | | | | | |   (7431)  all_52_2 = e0
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | COMBINE_EQS: (371), (7431) imply:
% 168.98/25.48  | | | | | | | | | | | | | | |   (7432)  all_58_18 = e0
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | REDUCE: (188), (7431) imply:
% 168.98/25.48  | | | | | | | | | | | | | | |   (7433)   ~ (all_52_3 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | SIMP: (7433) implies:
% 168.98/25.48  | | | | | | | | | | | | | | |   (7434)   ~ (all_52_3 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | REDUCE: (187), (7431) imply:
% 168.98/25.48  | | | | | | | | | | | | | | |   (7435)   ~ (all_52_6 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | SIMP: (7435) implies:
% 168.98/25.48  | | | | | | | | | | | | | | |   (7436)   ~ (all_52_6 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | REDUCE: (556), (7431) imply:
% 168.98/25.48  | | | | | | | | | | | | | | |   (7437)   ~ (all_10_2 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | REDUCE: (546), (7431) imply:
% 168.98/25.48  | | | | | | | | | | | | | | |   (7438)   ~ (all_6_2 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | SIMP: (7438) implies:
% 168.98/25.48  | | | | | | | | | | | | | | |   (7439)   ~ (all_6_2 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (51), (52), (154),
% 168.98/25.48  | | | | | | | | | | | | | | |            (156), (162), (164), (165), (167), (169), (170),
% 168.98/25.48  | | | | | | | | | | | | | | |            (172), (177), (178), (179), (180), (183), (184),
% 168.98/25.48  | | | | | | | | | | | | | | |            (190), (192), (203), (213), (214), (236), (239),
% 168.98/25.48  | | | | | | | | | | | | | | |            (242), (247), (248), (268), (269), (270), (275),
% 168.98/25.48  | | | | | | | | | | | | | | |            (277), (282), (287), (288), (290), (291), (293),
% 168.98/25.48  | | | | | | | | | | | | | | |            (294), (295), (330), (331), (332), (333), (334),
% 168.98/25.48  | | | | | | | | | | | | | | |            (335), (347), (348), (351), (356), (368), (374),
% 168.98/25.48  | | | | | | | | | | | | | | |            (377), (386), (389), (390), (395), (396), (407),
% 168.98/25.48  | | | | | | | | | | | | | | |            (411), (425), (429), (431), (435), (439), (441),
% 168.98/25.48  | | | | | | | | | | | | | | |            (446), (453), (456), (465), (530), (532), (533),
% 168.98/25.48  | | | | | | | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 168.98/25.48  | | | | | | | | | | | | | | |            (541), (542), (544), (548), (550), (552), (554),
% 168.98/25.48  | | | | | | | | | | | | | | |            (555), (558), (560), (562), (564), (567), (569),
% 168.98/25.48  | | | | | | | | | | | | | | |            (570), (574), (575), (578), (620), (624), (629),
% 168.98/25.48  | | | | | | | | | | | | | | |            (631), (5110), (6417), (7394), (7406), (7411),
% 168.98/25.48  | | | | | | | | | | | | | | |            (7419), (7420), (7421), (7422), (7423), (7425),
% 168.98/25.48  | | | | | | | | | | | | | | |            (7427), (7428), (7430), (7432), (7434), (7436),
% 168.98/25.48  | | | | | | | | | | | | | | |            (7439), (function-axioms) are inconsistent by
% 168.98/25.48  | | | | | | | | | | | | | | |            sub-proof #53.
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | Case 2:
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | |   (7440)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (61), (154),
% 168.98/25.48  | | | | | | | | | | | | | | |            (156), (157), (161), (164), (165), (167), (169),
% 168.98/25.48  | | | | | | | | | | | | | | |            (170), (172), (177), (178), (179), (180), (183),
% 168.98/25.48  | | | | | | | | | | | | | | |            (185), (187), (188), (189), (190), (192), (193),
% 168.98/25.48  | | | | | | | | | | | | | | |            (203), (204), (207), (208), (211), (212), (237),
% 168.98/25.48  | | | | | | | | | | | | | | |            (240), (242), (243), (244), (246), (247), (248),
% 168.98/25.48  | | | | | | | | | | | | | | |            (270), (274), (275), (277), (278), (279), (280),
% 168.98/25.48  | | | | | | | | | | | | | | |            (281), (282), (285), (287), (289), (290), (291),
% 168.98/25.48  | | | | | | | | | | | | | | |            (293), (294), (295), (330), (331), (332), (333),
% 168.98/25.48  | | | | | | | | | | | | | | |            (334), (335), (341), (347), (348), (351), (356),
% 168.98/25.48  | | | | | | | | | | | | | | |            (368), (371), (374), (377), (386), (389), (390),
% 168.98/25.48  | | | | | | | | | | | | | | |            (395), (396), (407), (411), (413), (425), (429),
% 168.98/25.48  | | | | | | | | | | | | | | |            (431), (435), (439), (441), (446), (448), (451),
% 168.98/25.48  | | | | | | | | | | | | | | |            (453), (455), (463), (521), (531), (532), (533),
% 168.98/25.48  | | | | | | | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 168.98/25.48  | | | | | | | | | | | | | | |            (541), (542), (544), (546), (550), (552), (554),
% 168.98/25.48  | | | | | | | | | | | | | | |            (555), (556), (558), (560), (562), (564), (566),
% 168.98/25.48  | | | | | | | | | | | | | | |            (567), (569), (574), (576), (577), (578), (619),
% 168.98/25.48  | | | | | | | | | | | | | | |            (626), (628), (633), (684), (6411), (6416),
% 168.98/25.48  | | | | | | | | | | | | | | |            (6417), (7404), (7405), (7415), (7421), (7422),
% 168.98/25.48  | | | | | | | | | | | | | | |            (7423), (7425), (7440), (function-axioms) are
% 168.98/25.48  | | | | | | | | | | | | | | |            inconsistent by sub-proof #36.
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | End of split
% 168.98/25.48  | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | Case 2:
% 168.98/25.48  | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | |   (7441)   ~ (all_54_7 = e0)
% 168.98/25.48  | | | | | | | | | | | | | |   (7442)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 168.98/25.48  | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | REDUCE: (462), (7441) imply:
% 168.98/25.48  | | | | | | | | | | | | | |   (7443)   ~ (all_52_13 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 168.98/25.48  | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | Case 1:
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | |   (7444)  all_56_6 = e0
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | COMBINE_EQS: (413), (7444) imply:
% 168.98/25.48  | | | | | | | | | | | | | | |   (7445)  all_52_2 = e0
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | COMBINE_EQS: (371), (7445) imply:
% 168.98/25.48  | | | | | | | | | | | | | | |   (7446)  all_58_18 = e0
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | REDUCE: (193), (7445) imply:
% 168.98/25.48  | | | | | | | | | | | | | | |   (7447)   ~ (all_52_1 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | REDUCE: (188), (7445) imply:
% 168.98/25.48  | | | | | | | | | | | | | | |   (7448)   ~ (all_52_3 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | SIMP: (7448) implies:
% 168.98/25.48  | | | | | | | | | | | | | | |   (7449)   ~ (all_52_3 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | REDUCE: (187), (7445) imply:
% 168.98/25.48  | | | | | | | | | | | | | | |   (7450)   ~ (all_52_6 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | SIMP: (7450) implies:
% 168.98/25.48  | | | | | | | | | | | | | | |   (7451)   ~ (all_52_6 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | REDUCE: (185), (7445) imply:
% 168.98/25.48  | | | | | | | | | | | | | | |   (7452)   ~ (all_52_14 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | SIMP: (7452) implies:
% 168.98/25.48  | | | | | | | | | | | | | | |   (7453)   ~ (all_52_14 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (41), (42), (51),
% 168.98/25.48  | | | | | | | | | | | | | | |            (52), (154), (156), (157), (161), (162), (164),
% 168.98/25.48  | | | | | | | | | | | | | | |            (165), (167), (170), (177), (178), (180), (189),
% 168.98/25.48  | | | | | | | | | | | | | | |            (190), (192), (202), (203), (208), (213), (214),
% 168.98/25.48  | | | | | | | | | | | | | | |            (236), (239), (241), (243), (247), (248), (268),
% 168.98/25.48  | | | | | | | | | | | | | | |            (269), (271), (272), (275), (276), (277), (281),
% 168.98/25.48  | | | | | | | | | | | | | | |            (282), (284), (285), (286), (287), (290), (291),
% 168.98/25.48  | | | | | | | | | | | | | | |            (292), (293), (294), (295), (330), (331), (332),
% 168.98/25.48  | | | | | | | | | | | | | | |            (334), (335), (347), (348), (351), (356), (368),
% 168.98/25.48  | | | | | | | | | | | | | | |            (374), (377), (386), (389), (390), (395), (396),
% 168.98/25.48  | | | | | | | | | | | | | | |            (407), (411), (425), (429), (431), (439), (441),
% 168.98/25.48  | | | | | | | | | | | | | | |            (446), (456), (462), (465), (530), (531), (532),
% 168.98/25.48  | | | | | | | | | | | | | | |            (533), (534), (535), (536), (537), (538), (539),
% 168.98/25.48  | | | | | | | | | | | | | | |            (540), (542), (544), (548), (550), (552), (554),
% 168.98/25.48  | | | | | | | | | | | | | | |            (555), (558), (560), (562), (564), (566), (567),
% 168.98/25.48  | | | | | | | | | | | | | | |            (569), (570), (574), (576), (577), (578), (619),
% 168.98/25.48  | | | | | | | | | | | | | | |            (620), (626), (629), (631), (5110), (6413),
% 168.98/25.48  | | | | | | | | | | | | | | |            (7394), (7405), (7411), (7443), (7444), (7446),
% 168.98/25.48  | | | | | | | | | | | | | | |            (7447), (7449), (7451), (7453), (function-axioms)
% 168.98/25.48  | | | | | | | | | | | | | | |            are inconsistent by sub-proof #8.
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | Case 2:
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | |   (7454)   ~ (all_56_6 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | |   (7455)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | REDUCE: (413), (7454) imply:
% 168.98/25.48  | | | | | | | | | | | | | | |   (7456)   ~ (all_52_2 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 168.98/25.48  | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | Case 1:
% 168.98/25.48  | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | |   (7457)  all_56_4 = e0
% 168.98/25.48  | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (7457) imply:
% 168.98/25.48  | | | | | | | | | | | | | | | |   (7458)  all_52_8 = e0
% 168.98/25.48  | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | REDUCE: (178), (7458) imply:
% 168.98/25.48  | | | | | | | | | | | | | | | |   (7459)   ~ (all_52_4 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | REDUCE: (167), (7458) imply:
% 168.98/25.48  | | | | | | | | | | | | | | | |   (7460)   ~ (all_52_9 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | SIMP: (7460) implies:
% 168.98/25.48  | | | | | | | | | | | | | | | |   (7461)   ~ (all_52_9 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | REDUCE: (164), (7458) imply:
% 168.98/25.48  | | | | | | | | | | | | | | | |   (7462)   ~ (all_52_12 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | SIMP: (7462) implies:
% 168.98/25.48  | | | | | | | | | | | | | | | |   (7463)   ~ (all_52_12 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | BETA: splitting (7405) gives:
% 168.98/25.48  | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | Case 1:
% 168.98/25.48  | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | |   (7464)  all_56_9 = e0
% 168.98/25.48  | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (7464) imply:
% 168.98/25.48  | | | | | | | | | | | | | | | | |   (7465)  all_52_12 = e0
% 168.98/25.48  | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | REDUCE: (7463), (7465) imply:
% 168.98/25.48  | | | | | | | | | | | | | | | | |   (7466)  $false
% 168.98/25.48  | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | CLOSE: (7466) is inconsistent.
% 168.98/25.48  | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | Case 2:
% 168.98/25.48  | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | |   (7467)  all_56_10 = e0 | all_56_11 = e0
% 168.98/25.48  | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | BETA: splitting (7467) gives:
% 168.98/25.48  | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | Case 1:
% 168.98/25.48  | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | |   (7468)  all_56_10 = e0
% 168.98/25.48  | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (7468) imply:
% 168.98/25.48  | | | | | | | | | | | | | | | | | |   (7469)  all_52_13 = e0
% 168.98/25.48  | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | REDUCE: (7443), (7469) imply:
% 168.98/25.48  | | | | | | | | | | | | | | | | | |   (7470)  $false
% 168.98/25.48  | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | CLOSE: (7470) is inconsistent.
% 168.98/25.48  | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | Case 2:
% 168.98/25.48  | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | |   (7471)  all_56_11 = e0
% 168.98/25.48  | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (7471) imply:
% 168.98/25.48  | | | | | | | | | | | | | | | | | |   (7472)  all_52_14 = e0
% 168.98/25.48  | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (356), (7472) imply:
% 168.98/25.48  | | | | | | | | | | | | | | | | | |   (7473)  all_58_30 = e0
% 168.98/25.48  | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 168.98/25.48  | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | Case 1:
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | |   (7474)  all_56_2 = e0
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (7474) imply:
% 168.98/25.48  | | | | | | | | | | | | | | | | | | |   (7475)  all_52_1 = e0
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | REDUCE: (193), (7475) imply:
% 168.98/25.48  | | | | | | | | | | | | | | | | | | |   (7476)   ~ (all_52_2 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | REDUCE: (192), (7475) imply:
% 168.98/25.48  | | | | | | | | | | | | | | | | | | |   (7477)   ~ (all_52_3 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | SIMP: (7477) implies:
% 168.98/25.48  | | | | | | | | | | | | | | | | | | |   (7478)   ~ (all_52_3 = e0)
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.48  | | | | | | | | | | | | | | | | | | | REDUCE: (189), (7475) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | |   (7479)   ~ (all_52_13 = e0)
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | REDUCE: (544), (7475) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | |   (7480)   ~ (all_6_2 = e0)
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | SIMP: (7480) implies:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | |   (7481)   ~ (all_6_2 = e0)
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | REDUCE: (555), (7475) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | |   (7482)   ~ (all_4_2 = e0)
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | SIMP: (7482) implies:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | |   (7483)   ~ (all_4_2 = e0)
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (161), (162), (165),
% 168.98/25.49  | | | | | | | | | | | | | | | | | | |            (167), (169), (172), (184), (187), (188), (207),
% 168.98/25.49  | | | | | | | | | | | | | | | | | | |            (236), (239), (248), (276), (278), (281), (290),
% 168.98/25.49  | | | | | | | | | | | | | | | | | | |            (291), (293), (295), (331), (332), (334), (335),
% 168.98/25.49  | | | | | | | | | | | | | | | | | | |            (341), (347), (348), (351), (371), (374), (377),
% 168.98/25.49  | | | | | | | | | | | | | | | | | | |            (386), (389), (390), (395), (396), (407), (411),
% 168.98/25.49  | | | | | | | | | | | | | | | | | | |            (413), (425), (429), (431), (435), (439), (456),
% 168.98/25.49  | | | | | | | | | | | | | | | | | | |            (465), (523), (532), (534), (535), (536), (537),
% 168.98/25.49  | | | | | | | | | | | | | | | | | | |            (538), (539), (540), (542), (546), (548), (552),
% 168.98/25.49  | | | | | | | | | | | | | | | | | | |            (554), (556), (557), (564), (567), (568), (572),
% 168.98/25.49  | | | | | | | | | | | | | | | | | | |            (577), (628), (766), (7391), (7397), (7404),
% 168.98/25.49  | | | | | | | | | | | | | | | | | | |            (7415), (7443), (7456), (7459), (7463), (7473),
% 168.98/25.49  | | | | | | | | | | | | | | | | | | |            (7478), (7481), (7483), (function-axioms) are
% 168.98/25.49  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #148.
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | Case 2:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | |   (7484)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (202), (431), (439), (535), (562), (5110), (7443),
% 168.98/25.49  | | | | | | | | | | | | | | | | | | |            (7461), (7484), (function-axioms) are inconsistent
% 168.98/25.49  | | | | | | | | | | | | | | | | | | |            by sub-proof #127.
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | End of split
% 168.98/25.49  | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | End of split
% 168.98/25.49  | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | End of split
% 168.98/25.49  | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | Case 2:
% 168.98/25.49  | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | |   (7485)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 168.98/25.49  | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 168.98/25.49  | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | Case 1:
% 168.98/25.49  | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | |   (7486)  all_56_0 = e0
% 168.98/25.49  | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (7486) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | |   (7487)  all_6_2 = e0
% 168.98/25.49  | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (61), (154),
% 168.98/25.49  | | | | | | | | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 168.98/25.49  | | | | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 168.98/25.49  | | | | | | | | | | | | | | | | |            (183), (184), (185), (187), (188), (189), (190),
% 168.98/25.49  | | | | | | | | | | | | | | | | |            (192), (193), (202), (203), (204), (208), (212),
% 168.98/25.49  | | | | | | | | | | | | | | | | |            (233), (234), (237), (239), (241), (242), (243),
% 168.98/25.49  | | | | | | | | | | | | | | | | |            (244), (245), (246), (247), (266), (270), (273),
% 168.98/25.49  | | | | | | | | | | | | | | | | |            (274), (275), (276), (277), (278), (279), (280),
% 168.98/25.49  | | | | | | | | | | | | | | | | |            (281), (282), (284), (286), (287), (291), (293),
% 168.98/25.49  | | | | | | | | | | | | | | | | |            (294), (295), (330), (331), (332), (333), (334),
% 168.98/25.49  | | | | | | | | | | | | | | | | |            (335), (341), (347), (348), (351), (356), (368),
% 168.98/25.49  | | | | | | | | | | | | | | | | |            (371), (374), (377), (386), (389), (390), (395),
% 168.98/25.49  | | | | | | | | | | | | | | | | |            (396), (407), (411), (413), (425), (429), (431),
% 168.98/25.49  | | | | | | | | | | | | | | | | |            (435), (439), (441), (446), (448), (451), (453),
% 168.98/25.49  | | | | | | | | | | | | | | | | |            (456), (460), (462), (463), (468), (531), (533),
% 168.98/25.49  | | | | | | | | | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 168.98/25.49  | | | | | | | | | | | | | | | | |            (541), (542), (544), (546), (548), (550), (552),
% 168.98/25.49  | | | | | | | | | | | | | | | | |            (554), (555), (556), (558), (560), (562), (564),
% 168.98/25.49  | | | | | | | | | | | | | | | | |            (566), (567), (569), (570), (572), (574), (576),
% 168.98/25.49  | | | | | | | | | | | | | | | | |            (577), (578), (619), (625), (626), (628), (630),
% 168.98/25.49  | | | | | | | | | | | | | | | | |            (632), (633), (634), (5110), (6417), (7392),
% 168.98/25.49  | | | | | | | | | | | | | | | | |            (7487), (function-axioms) are inconsistent by
% 168.98/25.49  | | | | | | | | | | | | | | | | |            sub-proof #57.
% 168.98/25.49  | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | Case 2:
% 168.98/25.49  | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | |   (7488)   ~ (all_56_0 = e0)
% 168.98/25.49  | | | | | | | | | | | | | | | | |   (7489)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 168.98/25.49  | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | REDUCE: (536), (7488) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | |   (7490)   ~ (all_6_2 = e0)
% 168.98/25.49  | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 168.98/25.49  | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | Case 1:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | |   (7491)  all_56_0 = e0
% 168.98/25.49  | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (7491) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | |   (7492)  all_6_2 = e0
% 168.98/25.49  | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | REDUCE: (7490), (7492) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | |   (7493)  $false
% 168.98/25.49  | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | CLOSE: (7493) is inconsistent.
% 168.98/25.49  | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | Case 2:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | |   (7494)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 168.98/25.49  | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | Case 1:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | |   (7495)  all_54_12 = e0
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (465), (7495) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | |   (7496)  all_52_3 = e0
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (7496) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | |   (7497)  all_56_12 = e0
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (7496) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | |   (7498)  all_58_19 = e0
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | REDUCE: (183), (7496) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | |   (7499)   ~ (all_52_11 = e0)
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | SIMP: (7499) implies:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | |   (7500)   ~ (all_52_11 = e0)
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | BETA: splitting (7485) gives:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | Case 1:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | |   (7501)  all_56_5 = e0
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (7501) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | |   (7502)  all_52_9 = e0
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (377), (7502) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | |   (7503)  all_58_25 = e0
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (7502) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | |   (7504)   ~ (all_52_1 = e0)
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (7502) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | |   (7505)   ~ (all_52_8 = e0)
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | REDUCE: (570), (7502) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | |   (7506)   ~ (all_10_2 = e0)
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | |   (7507)  all_56_1 = e0
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (7507) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | |   (7508)  all_52_4 = e0
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (7508) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | |   (7509)  all_58_20 = e0
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | REDUCE: (180), (7508) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | |   (7510)   ~ (all_52_6 = e0)
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | SIMP: (7510) implies:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | |   (7511)   ~ (all_52_6 = e0)
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (7508) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | |   (7512)   ~ (all_52_7 = e0)
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | SIMP: (7512) implies:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | |   (7513)   ~ (all_52_7 = e0)
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | REDUCE: (550), (7508) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | |   (7514)   ~ (all_6_2 = e0)
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | REDUCE: (558), (7508) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | |   (7515)   ~ (all_4_2 = e0)
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | SIMP: (7515) implies:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | |   (7516)   ~ (all_4_2 = e0)
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7455) gives:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | |   (7517)  all_56_7 = e0
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (7517) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | |   (7518)  all_52_6 = e0
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7511), (7518) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | |   (7519)  $false
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7519) is inconsistent.
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | |   (7520)  all_56_8 = e0 | all_56_11 = e0
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7520) gives:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | |   (7521)  all_56_8 = e0
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (7521) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | |   (7522)  all_10_2 = e0
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6417), (7522) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | |   (7523)  $false
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7523) is inconsistent.
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | |   (7524)  all_56_11 = e0
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (7524) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | |   (7525)  all_52_14 = e0
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (356), (7525) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | |   (7526)  all_58_30 = e0
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (156), (7525) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | |   (7527)   ~ (all_52_12 = e0)
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (7525) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | |   (7528)   ~ (all_14_2 = e0)
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | |   (7529)  all_54_14 = e0
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (468), (7529) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | |   (7530)  all_52_11 = e0
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7500), (7530) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | |   (7531)  $false
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7531) is inconsistent.
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | |   (7532)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (36), (42), (164), (165),
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | |            (169), (172), (178), (187), (189), (193), (207),
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | |            (235), (240), (243), (244), (248), (267), (278),
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | |            (288), (291), (292), (294), (331), (332), (333),
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | |            (334), (341), (347), (348), (368), (374), (386),
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | |            (389), (390), (395), (407), (411), (413), (425),
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | |            (429), (435), (448), (455), (462), (466), (468),
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | |            (521), (531), (532), (533), (535), (536), (537),
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | |            (538), (539), (540), (541), (544), (546), (552),
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | |            (554), (555), (560), (566), (567), (568), (569),
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | |            (572), (575), (576), (577), (624), (684), (5110),
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | |            (6416), (7406), (7415), (7442), (7443), (7456),
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | |            (7490), (7497), (7498), (7500), (7503), (7504),
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | |            (7507), (7509), (7511), (7513), (7516), (7526),
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | |            (7527), (7532), (function-axioms) are inconsistent
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #6.
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | End of split
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | End of split
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | Case 2:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | |   (7533)   ~ (all_56_1 = e0)
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | 
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | REDUCE: (396), (7533) imply:
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | |   (7534)   ~ (all_52_4 = e0)
% 168.98/25.49  | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (42), (154), (156),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | | |            (164), (165), (169), (170), (172), (178), (180),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | | |            (189), (193), (207), (211), (234), (235), (244),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | | |            (247), (248), (270), (282), (291), (293), (294),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | | |            (295), (331), (332), (333), (347), (356), (368),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | | |            (374), (386), (390), (395), (396), (411), (413),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | | |            (425), (429), (439), (441), (446), (448), (466),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | | |            (468), (521), (532), (533), (534), (535), (536),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | | |            (537), (538), (539), (540), (541), (544), (546),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | | |            (550), (552), (554), (555), (556), (558), (560),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | | |            (562), (568), (572), (574), (576), (684), (6411),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | | |            (6416), (6417), (7455), (7494), (7497), (7500),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | | |            (7501), (7503), (7504), (7505), (7534),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | | |            #208.
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | | End of split
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | Case 2:
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | |   (7535)  all_56_8 = e0 | all_56_14 = e0
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (534), (6417), (7500), (7535) are
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #914.
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | End of split
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | | | | | | Case 2:
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | | | | | | |   (7536)   ~ (all_54_12 = e0)
% 169.08/25.49  | | | | | | | | | | | | | | | | | | |   (7537)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | REDUCE: (465), (7536) imply:
% 169.08/25.49  | | | | | | | | | | | | | | | | | | |   (7538)   ~ (all_52_3 = e0)
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (154), (156),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | |            (157), (164), (165), (170), (172), (178), (179),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | |            (180), (183), (184), (185), (187), (188), (190),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | |            (203), (204), (213), (235), (245), (246), (248),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | |            (267), (270), (272), (278), (284), (285), (286),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | |            (291), (293), (294), (295), (296), (330), (331),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | |            (333), (334), (335), (341), (347), (348), (351),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | |            (356), (368), (371), (374), (386), (389), (390),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | |            (396), (407), (411), (413), (421), (425), (429),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | |            (431), (435), (439), (441), (451), (460), (465),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | |            (466), (530), (532), (533), (534), (535), (536),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | |            (537), (538), (539), (540), (541), (542), (544),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | |            (546), (548), (550), (552), (554), (556), (557),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | |            (558), (560), (562), (566), (567), (568), (569),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | |            (570), (572), (574), (576), (577), (578), (621),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | |            (624), (630), (631), (634), (713), (5109), (5110),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | |            (6417), (7400), (7405), (7411), (7415), (7455),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | |            (7456), (7485), (7489), (7494), (7537), (7538),
% 169.08/25.49  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 169.08/25.49  | | | | | | | | | | | | | | | | | | |            #101.
% 169.08/25.49  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | | | | | | End of split
% 169.08/25.49  | | | | | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | | | | | End of split
% 169.08/25.49  | | | | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | | | | End of split
% 169.08/25.49  | | | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | | | End of split
% 169.08/25.49  | | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | | End of split
% 169.08/25.49  | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | End of split
% 169.08/25.49  | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | End of split
% 169.08/25.49  | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | End of split
% 169.08/25.49  | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | End of split
% 169.08/25.49  | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | End of split
% 169.08/25.49  | | | | | | | | | 
% 169.08/25.49  | | | | | | | | End of split
% 169.08/25.49  | | | | | | | | 
% 169.08/25.49  | | | | | | | Case 2:
% 169.08/25.49  | | | | | | | | 
% 169.08/25.49  | | | | | | | |   (7539)  all_20_1 = e0
% 169.08/25.49  | | | | | | | | 
% 169.08/25.49  | | | | | | | | COMBINE_EQS: (682), (7539) imply:
% 169.08/25.49  | | | | | | | |   (7540)  all_10_1 = e0
% 169.08/25.49  | | | | | | | | 
% 169.08/25.49  | | | | | | | | COMBINE_EQS: (646), (7540) imply:
% 169.08/25.49  | | | | | | | |   (7541)  all_34_1 = e0
% 169.08/25.49  | | | | | | | | 
% 169.08/25.49  | | | | | | | | REDUCE: (53), (7540) imply:
% 169.08/25.49  | | | | | | | |   (7542)  op(e0, all_10_2) = all_10_0
% 169.08/25.49  | | | | | | | | 
% 169.08/25.49  | | | | | | | | REDUCE: (52), (7540) imply:
% 169.08/25.49  | | | | | | | |   (7543)  op(all_10_2, e1) = e0
% 169.08/25.49  | | | | | | | | 
% 169.08/25.49  | | | | | | | | BETA: splitting (99) gives:
% 169.08/25.49  | | | | | | | | 
% 169.08/25.49  | | | | | | | | Case 1:
% 169.08/25.49  | | | | | | | | | 
% 169.08/25.49  | | | | | | | | |   (7544)   ~ (all_28_1 = e1)
% 169.08/25.49  | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | REDUCE: (7390), (7544) imply:
% 169.08/25.49  | | | | | | | | |   (7545)  $false
% 169.08/25.49  | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | CLOSE: (7545) is inconsistent.
% 169.08/25.49  | | | | | | | | | 
% 169.08/25.49  | | | | | | | | Case 2:
% 169.08/25.49  | | | | | | | | | 
% 169.08/25.49  | | | | | | | | |   (7546)   ~ (all_28_0 = e2) |  ~ (all_28_2 = e3)
% 169.08/25.49  | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | BETA: splitting (112) gives:
% 169.08/25.49  | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | Case 1:
% 169.08/25.49  | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | |   (7547)   ~ (all_34_1 = e0)
% 169.08/25.49  | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | REDUCE: (7541), (7547) imply:
% 169.08/25.49  | | | | | | | | | |   (7548)  $false
% 169.08/25.49  | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | CLOSE: (7548) is inconsistent.
% 169.08/25.49  | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | Case 2:
% 169.08/25.49  | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | |   (7549)   ~ (all_34_0 = e2) |  ~ (all_34_2 = e3)
% 169.08/25.49  | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | BETA: splitting (266) gives:
% 169.08/25.49  | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | Case 1:
% 169.08/25.49  | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | |   (7550)  all_56_15 = e0
% 169.08/25.49  | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | REF_CLOSE: (4), (61), (533), (634), (7392), (7550),
% 169.08/25.49  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 169.08/25.49  | | | | | | | | | | |            #437.
% 169.08/25.49  | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | Case 2:
% 169.08/25.49  | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | |   (7551)   ~ (all_56_15 = e0)
% 169.08/25.49  | | | | | | | | | | |   (7552)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 169.08/25.49  | | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 169.08/25.49  | | | | | | | | | | |             e0)
% 169.08/25.49  | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | ALPHA: (7552) implies:
% 169.08/25.49  | | | | | | | | | | |   (7553)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 169.08/25.49  | | | | | | | | | | |   (7554)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 169.08/25.49  | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | REDUCE: (533), (7551) imply:
% 169.08/25.49  | | | | | | | | | | |   (7555)   ~ (all_14_2 = e0)
% 169.08/25.49  | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | BETA: splitting (238) gives:
% 169.08/25.49  | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | Case 1:
% 169.08/25.49  | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | |   (7556)  all_54_10 = e0
% 169.08/25.49  | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | REF_CLOSE: (530), (6417), (7556) are inconsistent by
% 169.08/25.49  | | | | | | | | | | | |            sub-proof #909.
% 169.08/25.49  | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | Case 2:
% 169.08/25.49  | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | |   (7557)   ~ (all_54_10 = e0)
% 169.08/25.49  | | | | | | | | | | | |   (7558)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 169.08/25.49  | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | BETA: splitting (233) gives:
% 169.08/25.49  | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | Case 1:
% 169.08/25.49  | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | |   (7559)  all_54_15 = e0
% 169.08/25.49  | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | REF_CLOSE: (341), (7555), (7559) are inconsistent by
% 169.08/25.49  | | | | | | | | | | | | |            sub-proof #910.
% 169.08/25.49  | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | Case 2:
% 169.08/25.49  | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | |   (7560)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 169.08/25.49  | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | BETA: splitting (241) gives:
% 169.08/25.49  | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | Case 1:
% 169.08/25.49  | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | |   (7561)  all_54_7 = e0
% 169.08/25.49  | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | | COMBINE_EQS: (462), (7561) imply:
% 169.08/25.49  | | | | | | | | | | | | | |   (7562)  all_52_13 = e0
% 169.08/25.49  | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | | SIMP: (7562) implies:
% 169.08/25.49  | | | | | | | | | | | | | |   (7563)  all_52_13 = e0
% 169.08/25.49  | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | | COMBINE_EQS: (374), (7563) imply:
% 169.08/25.49  | | | | | | | | | | | | | |   (7564)  all_58_29 = e0
% 169.08/25.49  | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | | REDUCE: (189), (7563) imply:
% 169.08/25.49  | | | | | | | | | | | | | |   (7565)   ~ (all_52_1 = e0)
% 169.08/25.49  | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | | REDUCE: (161), (7563) imply:
% 169.08/25.49  | | | | | | | | | | | | | |   (7566)   ~ (all_52_9 = e0)
% 169.08/25.49  | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | | REDUCE: (157), (7563) imply:
% 169.08/25.49  | | | | | | | | | | | | | |   (7567)   ~ (all_52_12 = e0)
% 169.08/25.49  | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | | REDUCE: (154), (7563) imply:
% 169.08/25.49  | | | | | | | | | | | | | |   (7568)   ~ (all_52_14 = e0)
% 169.08/25.49  | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | | SIMP: (7568) implies:
% 169.08/25.49  | | | | | | | | | | | | | |   (7569)   ~ (all_52_14 = e0)
% 169.08/25.49  | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | | REDUCE: (577), (7563) imply:
% 169.08/25.49  | | | | | | | | | | | | | |   (7570)   ~ (all_14_2 = e0)
% 169.08/25.49  | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 169.08/25.49  | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | | Case 1:
% 169.08/25.49  | | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | | |   (7571)  all_56_6 = e0
% 169.08/25.49  | | | | | | | | | | | | | | | 
% 169.08/25.49  | | | | | | | | | | | | | | | COMBINE_EQS: (413), (7571) imply:
% 169.08/25.49  | | | | | | | | | | | | | | |   (7572)  all_52_2 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | COMBINE_EQS: (371), (7572) imply:
% 169.08/25.50  | | | | | | | | | | | | | | |   (7573)  all_58_18 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | REDUCE: (188), (7572) imply:
% 169.08/25.50  | | | | | | | | | | | | | | |   (7574)   ~ (all_52_3 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | SIMP: (7574) implies:
% 169.08/25.50  | | | | | | | | | | | | | | |   (7575)   ~ (all_52_3 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | REDUCE: (556), (7572) imply:
% 169.08/25.50  | | | | | | | | | | | | | | |   (7576)   ~ (all_10_2 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | REDUCE: (546), (7572) imply:
% 169.08/25.50  | | | | | | | | | | | | | | |   (7577)   ~ (all_6_2 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | SIMP: (7577) implies:
% 169.08/25.50  | | | | | | | | | | | | | | |   (7578)   ~ (all_6_2 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 169.08/25.50  | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | Case 1:
% 169.08/25.50  | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | |   (7579)  all_56_4 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (51), (161), (164),
% 169.08/25.50  | | | | | | | | | | | | | | | |            (165), (189), (190), (192), (203), (236), (244),
% 169.08/25.50  | | | | | | | | | | | | | | | |            (248), (267), (269), (293), (295), (331), (332),
% 169.08/25.50  | | | | | | | | | | | | | | | |            (335), (341), (347), (351), (356), (374), (377),
% 169.08/25.50  | | | | | | | | | | | | | | | |            (389), (390), (395), (407), (411), (429), (435),
% 169.08/25.50  | | | | | | | | | | | | | | | |            (439), (441), (448), (465), (504), (530), (532),
% 169.08/25.50  | | | | | | | | | | | | | | | |            (533), (536), (537), (538), (539), (542), (544),
% 169.08/25.50  | | | | | | | | | | | | | | | |            (548), (552), (554), (557), (569), (570), (572),
% 169.08/25.50  | | | | | | | | | | | | | | | |            (574), (575), (577), (578), (629), (634), (767),
% 169.08/25.50  | | | | | | | | | | | | | | | |            (7542), (7543), (7549), (7553), (7554), (7555),
% 169.08/25.50  | | | | | | | | | | | | | | | |            (7558), (7560), (7564), (7569), (7571), (7573),
% 169.08/25.50  | | | | | | | | | | | | | | | |            (7575), (7579), (function-axioms) are inconsistent
% 169.08/25.50  | | | | | | | | | | | | | | | |            by sub-proof #10.
% 169.08/25.50  | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | Case 2:
% 169.08/25.50  | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | |   (7580)   ~ (all_56_4 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | |   (7581)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | REDUCE: (429), (7580) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | |   (7582)   ~ (all_52_8 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 169.08/25.50  | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | Case 1:
% 169.08/25.50  | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | |   (7583)  all_56_0 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | COMBINE_EQS: (536), (7583) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | |   (7584)  all_6_2 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | REDUCE: (7578), (7584) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | |   (7585)  $false
% 169.08/25.50  | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | CLOSE: (7585) is inconsistent.
% 169.08/25.50  | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | Case 2:
% 169.08/25.50  | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | |   (7586)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | BETA: splitting (7586) gives:
% 169.08/25.50  | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | Case 1:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | |   (7587)  all_56_1 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (7587) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | |   (7588)  all_52_4 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (7588) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | |   (7589)  all_58_20 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | REDUCE: (180), (7588) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | |   (7590)   ~ (all_52_6 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | SIMP: (7590) implies:
% 169.08/25.50  | | | | | | | | | | | | | | | | | |   (7591)   ~ (all_52_6 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | REDUCE: (177), (7588) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | |   (7592)   ~ (all_52_12 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | REDUCE: (558), (7588) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | |   (7593)   ~ (all_4_2 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | SIMP: (7593) implies:
% 169.08/25.50  | | | | | | | | | | | | | | | | | |   (7594)   ~ (all_4_2 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | BETA: splitting (7581) gives:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | Case 1:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | |   (7595)  all_56_5 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (7595) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | |   (7596)  all_52_9 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | REDUCE: (7566), (7596) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | |   (7597)  $false
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | CLOSE: (7597) is inconsistent.
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | Case 2:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | |   (7598)  all_56_8 = e0 | all_56_14 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | BETA: splitting (7598) gives:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | Case 1:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | |   (7599)  all_56_8 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (7599) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | |   (7600)  all_10_2 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | REDUCE: (6417), (7600) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | |   (7601)  $false
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | CLOSE: (7601) is inconsistent.
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | Case 2:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | |   (7602)  all_56_14 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (7602) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | |   (7603)  all_52_11 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | SIMP: (7603) implies:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | |   (7604)  all_52_11 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (7604) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | |   (7605)  all_58_27 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (7604) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | |   (7606)   ~ (all_52_7 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | |   (7607)  all_54_6 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (7566), (7607) are inconsistent by
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | |            sub-proof #901.
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | |   (7608)   ~ (all_54_6 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | |   (7609)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | |   (7610)  all_54_0 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (532), (7578), (7610) are inconsistent by
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #984.
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | |   (7611)   ~ (all_54_0 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | |   (7612)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | |   (7613)  all_54_4 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (7565), (7613) are inconsistent by
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #902.
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | |   (7614)   ~ (all_54_4 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | |   (7615)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | |   (7616)  all_58_19 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (7616) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | |   (7617)  all_52_3 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7575), (7617) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | |   (7618)  $false
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7618) is inconsistent.
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | |   (7619)   ~ (all_58_19 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | |   (7620)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (7621)  all_58_31 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (537), (7621) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (7622)  all_14_2 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7555), (7622) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (7623)  $false
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7623) is inconsistent.
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (7624)   ~ (all_58_31 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (7625)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7626)  all_58_23 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (540), (7626) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7627)  all_52_7 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7606), (7627) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7628)  $false
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7628) is inconsistent.
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7629)   ~ (all_58_23 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7630)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7631)  all_56_12 = e2
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (7631) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7632)  all_52_3 = e2
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7632) implies:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7633)  all_52_3 = e2
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (7633) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7634)   ~ (all_52_1 = e2)
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7620) gives:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7635)  all_58_18 = e1
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7573), (7635) are inconsistent by sub-proof
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #888.
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7636)  all_58_16 = e3 | all_58_17 = e2
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7636) gives:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7637)  all_58_17 = e2
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (7637) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7638)  all_52_1 = e2
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7634), (7638) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7639)  $false
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7639) is inconsistent.
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7640)  all_58_16 = e3
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (7640) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7641)  all_6_2 = e3
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (7641) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7642)   ~ (all_52_1 = e3)
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (7641) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7643)   ~ (all_52_12 = e3)
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (170), (190), (209), (282), (356),
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (368), (386), (411), (448), (453), (530), (538),
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (555), (564), (570), (574), (623), (7543), (7558),
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7564), (7566), (7589), (7609), (7615), (7625),
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7630), (7642), (7643), (function-axioms) are
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #464.
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7644)   ~ (all_56_12 = e2)
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (7644) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7645)   ~ (all_52_3 = e2)
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (154), (170), (172), (184),
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (190), (282), (287), (288), (291), (293), (295),
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (334), (335), (348), (351), (356), (368), (374),
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (377), (386), (389), (407), (411), (425), (431),
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (439), (453), (532), (535), (536), (537), (538),
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (539), (540), (542), (544), (548), (554), (555),
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (560), (562), (564), (567), (7555), (7564),
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7565), (7566), (7567), (7569), (7571), (7573),
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7575), (7587), (7589), (7591), (7594), (7605),
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7606), (7609), (7612), (7620), (7625), (7630),
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7645) are inconsistent by sub-proof #99.
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | End of split
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | End of split
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | End of split
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | End of split
% 169.08/25.50  | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | Case 2:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | |   (7646)  all_56_4 = e0 | all_56_9 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | REF_CLOSE: (390), (429), (7567), (7582), (7646) are
% 169.08/25.50  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #563.
% 169.08/25.50  | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | End of split
% 169.08/25.50  | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | End of split
% 169.08/25.50  | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | End of split
% 169.08/25.50  | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | Case 2:
% 169.08/25.50  | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | |   (7647)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (61), (154),
% 169.08/25.50  | | | | | | | | | | | | | | |            (156), (157), (161), (164), (165), (167), (169),
% 169.08/25.50  | | | | | | | | | | | | | | |            (170), (172), (177), (178), (179), (180), (183),
% 169.08/25.50  | | | | | | | | | | | | | | |            (185), (187), (188), (189), (190), (192), (193),
% 169.08/25.50  | | | | | | | | | | | | | | |            (203), (204), (207), (208), (211), (212), (237),
% 169.08/25.50  | | | | | | | | | | | | | | |            (240), (242), (243), (244), (246), (247), (248),
% 169.08/25.50  | | | | | | | | | | | | | | |            (270), (274), (275), (277), (278), (279), (280),
% 169.08/25.50  | | | | | | | | | | | | | | |            (281), (282), (285), (287), (289), (290), (291),
% 169.08/25.50  | | | | | | | | | | | | | | |            (293), (294), (295), (330), (331), (332), (333),
% 169.08/25.50  | | | | | | | | | | | | | | |            (334), (335), (341), (347), (348), (351), (356),
% 169.08/25.50  | | | | | | | | | | | | | | |            (368), (371), (374), (377), (386), (389), (390),
% 169.08/25.50  | | | | | | | | | | | | | | |            (395), (396), (407), (411), (413), (425), (429),
% 169.08/25.50  | | | | | | | | | | | | | | |            (431), (435), (439), (441), (446), (448), (451),
% 169.08/25.50  | | | | | | | | | | | | | | |            (453), (455), (463), (521), (531), (532), (533),
% 169.08/25.50  | | | | | | | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 169.08/25.50  | | | | | | | | | | | | | | |            (541), (542), (544), (546), (550), (552), (554),
% 169.08/25.50  | | | | | | | | | | | | | | |            (555), (556), (558), (560), (562), (564), (566),
% 169.08/25.50  | | | | | | | | | | | | | | |            (567), (569), (574), (576), (577), (578), (619),
% 169.08/25.50  | | | | | | | | | | | | | | |            (626), (628), (633), (684), (6411), (6416),
% 169.08/25.50  | | | | | | | | | | | | | | |            (6417), (7553), (7554), (7560), (7565), (7566),
% 169.08/25.50  | | | | | | | | | | | | | | |            (7567), (7569), (7647), (function-axioms) are
% 169.08/25.50  | | | | | | | | | | | | | | |            inconsistent by sub-proof #36.
% 169.08/25.50  | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | End of split
% 169.08/25.50  | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | Case 2:
% 169.08/25.50  | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | |   (7648)   ~ (all_54_7 = e0)
% 169.08/25.50  | | | | | | | | | | | | | |   (7649)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 169.08/25.50  | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | REDUCE: (462), (7648) imply:
% 169.08/25.50  | | | | | | | | | | | | | |   (7650)   ~ (all_52_13 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 169.08/25.50  | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | Case 1:
% 169.08/25.50  | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | |   (7651)  all_54_13 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | COMBINE_EQS: (466), (7651) imply:
% 169.08/25.50  | | | | | | | | | | | | | | |   (7652)  all_52_7 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | SIMP: (7652) implies:
% 169.08/25.50  | | | | | | | | | | | | | | |   (7653)  all_52_7 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | COMBINE_EQS: (348), (7653) imply:
% 169.08/25.50  | | | | | | | | | | | | | | |   (7654)  all_56_13 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | COMBINE_EQS: (540), (7653) imply:
% 169.08/25.50  | | | | | | | | | | | | | | |   (7655)  all_58_23 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | REDUCE: (184), (7653) imply:
% 169.08/25.50  | | | | | | | | | | | | | | |   (7656)   ~ (all_52_3 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | REDUCE: (179), (7653) imply:
% 169.08/25.50  | | | | | | | | | | | | | | |   (7657)   ~ (all_52_4 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | REDUCE: (172), (7653) imply:
% 169.08/25.50  | | | | | | | | | | | | | | |   (7658)   ~ (all_52_6 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | REDUCE: (562), (7653) imply:
% 169.08/25.50  | | | | | | | | | | | | | | |   (7659)   ~ (all_4_2 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | SIMP: (7659) implies:
% 169.08/25.50  | | | | | | | | | | | | | | |   (7660)   ~ (all_4_2 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | REDUCE: (632), (7653) imply:
% 169.08/25.50  | | | | | | | | | | | | | | |   (7661)  op(e0, e0) = all_58_13
% 169.08/25.50  | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 169.08/25.50  | | | | | | | | | | | | | | |              all_58_13, e0, e0, simplifying with (61), (7661)
% 169.08/25.50  | | | | | | | | | | | | | | |              gives:
% 169.08/25.50  | | | | | | | | | | | | | | |   (7662)  all_58_13 = all_14_2
% 169.08/25.50  | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 169.08/25.50  | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | Case 1:
% 169.08/25.50  | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | |   (7663)  all_56_6 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (7663) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | |   (7664)  all_52_2 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (7664) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | |   (7665)  all_58_18 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | REDUCE: (193), (7664) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | |   (7666)   ~ (all_52_1 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | REDUCE: (188), (7664) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | |   (7667)   ~ (all_52_3 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | REDUCE: (187), (7664) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | |   (7668)   ~ (all_52_6 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | REDUCE: (546), (7664) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | |   (7669)   ~ (all_6_2 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | SIMP: (7669) implies:
% 169.08/25.50  | | | | | | | | | | | | | | | |   (7670)   ~ (all_6_2 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 169.08/25.50  | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | Case 1:
% 169.08/25.50  | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | |   (7671)  all_56_2 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (7671) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | |   (7672)  all_52_1 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | REDUCE: (7666), (7672) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | |   (7673)  $false
% 169.08/25.50  | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | CLOSE: (7673) is inconsistent.
% 169.08/25.50  | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | Case 2:
% 169.08/25.50  | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | |   (7674)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | BETA: splitting (7674) gives:
% 169.08/25.50  | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | Case 1:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | |   (7675)  all_56_3 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (7675) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | |   (7676)  all_4_2 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | REDUCE: (7660), (7676) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | |   (7677)  $false
% 169.08/25.50  | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | CLOSE: (7677) is inconsistent.
% 169.08/25.50  | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | Case 2:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | |   (7678)  all_56_5 = e0 | all_56_10 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | BETA: splitting (7678) gives:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | Case 1:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | |   (7679)  all_56_5 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (7679) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | |   (7680)  all_52_9 = e0
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | REDUCE: (167), (7680) imply:
% 169.08/25.50  | | | | | | | | | | | | | | | | | | |   (7681)   ~ (all_52_8 = e0)
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.50  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (41), (42), (154),
% 169.08/25.50  | | | | | | | | | | | | | | | | | | |            (156), (157), (161), (162), (167), (170), (177),
% 169.08/25.50  | | | | | | | | | | | | | | | | | | |            (178), (180), (189), (190), (192), (236), (239),
% 169.08/25.50  | | | | | | | | | | | | | | | | | | |            (241), (243), (247), (271), (272), (276), (281),
% 169.08/25.50  | | | | | | | | | | | | | | | | | | |            (282), (284), (286), (287), (290), (292), (294),
% 169.08/25.50  | | | | | | | | | | | | | | | | | | |            (331), (332), (334), (335), (347), (356), (368),
% 169.08/25.50  | | | | | | | | | | | | | | | | | | |            (374), (377), (386), (389), (390), (395), (396),
% 169.08/25.50  | | | | | | | | | | | | | | | | | | |            (407), (411), (425), (429), (431), (439), (441),
% 169.08/25.50  | | | | | | | | | | | | | | | | | | |            (446), (456), (462), (465), (531), (533), (534),
% 169.08/25.50  | | | | | | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (542), (544),
% 169.08/25.50  | | | | | | | | | | | | | | | | | | |            (548), (550), (552), (554), (555), (558), (560),
% 169.08/25.50  | | | | | | | | | | | | | | | | | | |            (564), (566), (567), (569), (574), (576), (577),
% 169.08/25.50  | | | | | | | | | | | | | | | | | | |            (578), (619), (6413), (7654), (7655), (7656),
% 169.08/25.50  | | | | | | | | | | | | | | | | | | |            (7657), (7658), (7660), (7663), (7665), (7666),
% 169.08/25.50  | | | | | | | | | | | | | | | | | | |            (7670), (7681), (function-axioms) are inconsistent
% 169.08/25.50  | | | | | | | | | | | | | | | | | | |            by sub-proof #5.
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | Case 2:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | |   (7682)  all_56_10 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (7682) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | |   (7683)  all_52_13 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | REDUCE: (7650), (7683) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | |   (7684)  $false
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | CLOSE: (7684) is inconsistent.
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | End of split
% 169.08/25.51  | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | End of split
% 169.08/25.51  | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | End of split
% 169.08/25.51  | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | Case 2:
% 169.08/25.51  | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | |   (7685)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (154), (156),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (157), (161), (162), (164), (165), (167), (169),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (170), (172), (177), (180), (183), (184), (185),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (187), (188), (189), (190), (192), (193), (203),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (204), (207), (208), (212), (234), (236), (239),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (241), (244), (245), (247), (248), (270), (276),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (278), (279), (281), (282), (284), (286), (287),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (289), (290), (291), (293), (295), (330), (331),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (332), (334), (335), (341), (347), (348), (351),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (356), (368), (371), (374), (377), (386), (389),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (390), (395), (396), (407), (411), (413), (425),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (429), (431), (435), (439), (441), (446), (448),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (456), (460), (462), (465), (468), (523), (532),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (541), (542), (544), (546), (548), (550), (552),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (554), (556), (557), (558), (564), (567), (568),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (572), (576), (577), (578), (619), (625), (628),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (630), (766), (6417), (7391), (7546), (7553),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (7560), (7655), (7656), (7657), (7658), (7660),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (7662), (7685), (function-axioms) are inconsistent
% 169.08/25.51  | | | | | | | | | | | | | | | |            by sub-proof #147.
% 169.08/25.51  | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | End of split
% 169.08/25.51  | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | Case 2:
% 169.08/25.51  | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | |   (7686)   ~ (all_54_13 = e0)
% 169.08/25.51  | | | | | | | | | | | | | | |   (7687)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 169.08/25.51  | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | REDUCE: (466), (7686) imply:
% 169.08/25.51  | | | | | | | | | | | | | | |   (7688)   ~ (all_52_7 = e0)
% 169.08/25.51  | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 169.08/25.51  | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | Case 1:
% 169.08/25.51  | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | |   (7689)  all_54_14 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | COMBINE_EQS: (468), (7689) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | |   (7690)  all_52_11 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (7690) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | |   (7691)  all_58_27 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | REDUCE: (162), (7690) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | |   (7692)   ~ (all_52_9 = e0)
% 169.08/25.51  | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (36), (156), (157), (164),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (170), (172), (177), (178), (179), (184), (185),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (187), (188), (189), (192), (202), (203), (204),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (213), (236), (240), (245), (246), (248), (267),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (269), (270), (272), (276), (278), (279), (281),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (285), (291), (292), (293), (295), (296), (330),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (331), (333), (334), (335), (348), (351), (356),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (368), (371), (374), (386), (389), (390), (396),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (407), (411), (413), (425), (429), (431), (439),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (441), (451), (455), (460), (465), (466), (504),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (532), (533), (534), (535), (536), (537), (538),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (539), (540), (541), (542), (544), (546), (548),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (550), (552), (554), (555), (556), (557), (558),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (560), (562), (566), (567), (568), (576), (578),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (621), (622), (624), (630), (631), (5110), (7543),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (7549), (7554), (7650), (7687), (7688), (7691),
% 169.08/25.51  | | | | | | | | | | | | | | | |            (7692), (function-axioms) are inconsistent by
% 169.08/25.51  | | | | | | | | | | | | | | | |            sub-proof #4.
% 169.08/25.51  | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | Case 2:
% 169.08/25.51  | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | |   (7693)   ~ (all_54_14 = e0)
% 169.08/25.51  | | | | | | | | | | | | | | | |   (7694)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 169.08/25.51  | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | REDUCE: (468), (7693) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | |   (7695)   ~ (all_52_11 = e0)
% 169.08/25.51  | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | BETA: splitting (7553) gives:
% 169.08/25.51  | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | Case 1:
% 169.08/25.51  | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | |   (7696)  all_56_12 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (7696) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | | |   (7697)  all_52_3 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (7697) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | | |   (7698)  all_58_19 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | REDUCE: (192), (7697) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | | |   (7699)   ~ (all_52_1 = e0)
% 169.08/25.51  | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | REDUCE: (188), (7697) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | | |   (7700)   ~ (all_52_2 = e0)
% 169.08/25.51  | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | REDUCE: (184), (7697) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | | |   (7701)   ~ (all_52_7 = e0)
% 169.08/25.51  | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | REDUCE: (183), (7697) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | | |   (7702)   ~ (all_52_11 = e0)
% 169.08/25.51  | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | REDUCE: (548), (7697) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | | |   (7703)   ~ (all_6_2 = e0)
% 169.08/25.51  | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | SIMP: (7703) implies:
% 169.08/25.51  | | | | | | | | | | | | | | | | |   (7704)   ~ (all_6_2 = e0)
% 169.08/25.51  | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 169.08/25.51  | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | Case 1:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | |   (7705)  all_56_6 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (7705) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | | | |   (7706)  all_52_2 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | REDUCE: (7700), (7706) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | | | |   (7707)  $false
% 169.08/25.51  | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | CLOSE: (7707) is inconsistent.
% 169.08/25.51  | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | Case 2:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | |   (7708)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | Case 1:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | |   (7709)  all_56_4 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (202), (281), (411), (429), (431), (439),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | |            (535), (562), (5110), (7650), (7699), (7709),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 169.08/25.51  | | | | | | | | | | | | | | | | | | |            #125.
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | Case 2:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | |   (7710)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | BETA: splitting (7710) gives:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | Case 1:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | |   (7711)  all_56_5 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (7711) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | |   (7712)  all_52_9 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (377), (7712) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | |   (7713)  all_58_25 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | REDUCE: (570), (7712) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | |   (7714)   ~ (all_10_2 = e0)
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (7712) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | |   (7715)   ~ (all_4_2 = e0)
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | SIMP: (7715) implies:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | |   (7716)   ~ (all_4_2 = e0)
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | |   (7717)  all_56_1 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (7717) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | |   (7718)  all_52_4 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (7718) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | |   (7719)  all_58_20 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | REDUCE: (180), (7718) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | |   (7720)   ~ (all_52_6 = e0)
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | SIMP: (7720) implies:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | |   (7721)   ~ (all_52_6 = e0)
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7708) gives:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | |   (7722)  all_56_7 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (7722) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | |   (7723)  all_52_6 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7721), (7723) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | |   (7724)  $false
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7724) is inconsistent.
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | |   (7725)  all_56_8 = e0 | all_56_11 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7725) gives:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | |   (7726)  all_56_8 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (534), (7726) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | |   (7727)  all_10_2 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6417), (7727) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | |   (7728)  $false
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7728) is inconsistent.
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | |   (7729)  all_56_11 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (7729) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | |   (7730)  all_52_14 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (356), (7730) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | |   (7731)  all_58_30 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (156), (7730) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | |   (7732)   ~ (all_52_12 = e0)
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (7730) imply:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | |   (7733)   ~ (all_14_2 = e0)
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (36), (42), (164), (165),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | |            (169), (172), (178), (187), (189), (193), (207),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | |            (235), (240), (243), (244), (248), (267), (278),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | |            (288), (291), (292), (294), (331), (332), (333),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | |            (334), (341), (347), (348), (368), (374), (386),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | |            (389), (390), (395), (407), (411), (413), (425),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | |            (429), (435), (448), (455), (462), (466), (468),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | |            (521), (531), (532), (533), (535), (536), (537),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | |            (538), (539), (540), (541), (544), (546), (552),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | |            (554), (555), (560), (566), (567), (568), (569),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | |            (572), (575), (576), (577), (624), (684), (5110),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | |            (6416), (7555), (7560), (7649), (7650), (7688),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | |            (7694), (7695), (7696), (7698), (7699), (7700),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | |            (7704), (7713), (7716), (7717), (7719), (7721),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | |            (7731), (7732), (function-axioms) are inconsistent
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #6.
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | End of split
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | |   (7734)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (42), (51), (154), (156),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | |            (157), (161), (162), (164), (165), (167), (170),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | |            (172), (177), (178), (180), (189), (190), (193),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | |            (207), (211), (244), (245), (247), (248), (277),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | |            (279), (282), (288), (290), (291), (293), (294),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | |            (331), (332), (333), (347), (348), (356), (368),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | |            (374), (377), (386), (390), (395), (396), (411),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | |            (413), (425), (429), (431), (435), (439), (441),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | |            (446), (448), (460), (521), (532), (534), (535),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | |            (536), (537), (538), (539), (540), (541), (544),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | |            (546), (550), (552), (554), (555), (556), (558),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | |            (564), (567), (569), (570), (574), (576), (577),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | |            (629), (684), (6411), (6416), (7543), (7554),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | |            (7688), (7695), (7696), (7704), (7716), (7734),
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | |            #129.
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | End of split
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | Case 2:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | |   (7735)  all_56_8 = e0 | all_56_14 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (534), (6417), (7695), (7735) are
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #914.
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | End of split
% 169.08/25.51  | | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | End of split
% 169.08/25.51  | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | End of split
% 169.08/25.51  | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | Case 2:
% 169.08/25.51  | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | |   (7736)  all_56_13 = e0 | all_56_14 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | BETA: splitting (7736) gives:
% 169.08/25.51  | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | Case 1:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | |   (7737)  all_56_13 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | REF_CLOSE: (348), (7688), (7737) are inconsistent by
% 169.08/25.51  | | | | | | | | | | | | | | | | | |            sub-proof #942.
% 169.08/25.51  | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | Case 2:
% 169.08/25.51  | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | |   (7738)  all_56_14 = e0
% 169.08/25.51  | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (7695), (7738) are inconsistent by
% 169.08/25.51  | | | | | | | | | | | | | | | | | |            sub-proof #915.
% 169.08/25.51  | | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | | End of split
% 169.08/25.51  | | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | | End of split
% 169.08/25.51  | | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | | End of split
% 169.08/25.51  | | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | | End of split
% 169.08/25.51  | | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | End of split
% 169.08/25.51  | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | End of split
% 169.08/25.51  | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | End of split
% 169.08/25.51  | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | End of split
% 169.08/25.51  | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | End of split
% 169.08/25.51  | | | | | | | | | 
% 169.08/25.51  | | | | | | | | End of split
% 169.08/25.51  | | | | | | | | 
% 169.08/25.51  | | | | | | | End of split
% 169.08/25.51  | | | | | | | 
% 169.08/25.51  | | | | | | End of split
% 169.08/25.51  | | | | | | 
% 169.08/25.51  | | | | | Case 2:
% 169.08/25.51  | | | | | | 
% 169.08/25.51  | | | | | |   (7739)  all_14_0 = e1
% 169.08/25.51  | | | | | |   (7740)   ~ (all_14_1 = e2) |  ~ (all_14_2 = e3)
% 169.08/25.51  | | | | | | 
% 169.08/25.51  | | | | | | REDUCE: (63), (7739) imply:
% 169.08/25.51  | | | | | |   (7741)  op(all_14_1, all_14_2) = e1
% 169.08/25.51  | | | | | | 
% 169.08/25.51  | | | | | | BETA: splitting (79) gives:
% 169.08/25.51  | | | | | | 
% 169.08/25.51  | | | | | | Case 1:
% 169.08/25.51  | | | | | | | 
% 169.08/25.51  | | | | | | |   (7742)   ~ (all_20_1 = e0)
% 169.08/25.51  | | | | | | | 
% 169.08/25.51  | | | | | | | REDUCE: (682), (7742) imply:
% 169.08/25.51  | | | | | | |   (7743)   ~ (all_10_1 = e0)
% 169.08/25.51  | | | | | | | 
% 169.08/25.51  | | | | | | | BETA: splitting (136) gives:
% 169.08/25.51  | | | | | | | 
% 169.08/25.51  | | | | | | | Case 1:
% 169.08/25.51  | | | | | | | | 
% 169.08/25.51  | | | | | | | |   (7744)   ~ (all_44_1 = e0)
% 169.08/25.51  | | | | | | | | 
% 169.08/25.51  | | | | | | | | REDUCE: (5108), (7744) imply:
% 169.08/25.51  | | | | | | | |   (7745)  $false
% 169.08/25.51  | | | | | | | | 
% 169.08/25.51  | | | | | | | | CLOSE: (7745) is inconsistent.
% 169.08/25.51  | | | | | | | | 
% 169.08/25.51  | | | | | | | Case 2:
% 169.08/25.51  | | | | | | | | 
% 169.08/25.51  | | | | | | | |   (7746)   ~ (all_44_0 = e1) |  ~ (all_44_2 = e3)
% 169.08/25.51  | | | | | | | | 
% 169.08/25.51  | | | | | | | | BETA: splitting (266) gives:
% 169.08/25.51  | | | | | | | | 
% 169.08/25.51  | | | | | | | | Case 1:
% 169.08/25.51  | | | | | | | | | 
% 169.08/25.51  | | | | | | | | |   (7747)  all_56_15 = e0
% 169.08/25.51  | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | REF_CLOSE: (4), (61), (62), (533), (634), (7741), (7747),
% 169.08/25.51  | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 169.08/25.51  | | | | | | | | |            #400.
% 169.08/25.51  | | | | | | | | | 
% 169.08/25.51  | | | | | | | | Case 2:
% 169.08/25.51  | | | | | | | | | 
% 169.08/25.51  | | | | | | | | |   (7748)   ~ (all_56_15 = e0)
% 169.08/25.51  | | | | | | | | |   (7749)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 169.08/25.51  | | | | | | | | |           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0)
% 169.08/25.51  | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | ALPHA: (7749) implies:
% 169.08/25.51  | | | | | | | | |   (7750)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 169.08/25.51  | | | | | | | | |   (7751)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 169.08/25.51  | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | REDUCE: (533), (7748) imply:
% 169.08/25.51  | | | | | | | | |   (7752)   ~ (all_14_2 = e0)
% 169.08/25.51  | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | BETA: splitting (238) gives:
% 169.08/25.51  | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | Case 1:
% 169.08/25.51  | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | |   (7753)  all_54_10 = e0
% 169.08/25.51  | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | COMBINE_EQS: (530), (7753) imply:
% 169.08/25.51  | | | | | | | | | |   (7754)  all_10_2 = e0
% 169.08/25.51  | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | REDUCE: (6417), (7754) imply:
% 169.08/25.51  | | | | | | | | | |   (7755)  $false
% 169.08/25.51  | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | CLOSE: (7755) is inconsistent.
% 169.08/25.51  | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | Case 2:
% 169.08/25.51  | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | |   (7756)   ~ (all_54_10 = e0)
% 169.08/25.51  | | | | | | | | | |   (7757)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 169.08/25.51  | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | BETA: splitting (233) gives:
% 169.08/25.51  | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | Case 1:
% 169.08/25.51  | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | |   (7758)  all_54_15 = e0
% 169.08/25.51  | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | COMBINE_EQS: (341), (7758) imply:
% 169.08/25.51  | | | | | | | | | | |   (7759)  all_14_2 = e0
% 169.08/25.51  | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | REDUCE: (7752), (7759) imply:
% 169.08/25.51  | | | | | | | | | | |   (7760)  $false
% 169.08/25.51  | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | CLOSE: (7760) is inconsistent.
% 169.08/25.51  | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | Case 2:
% 169.08/25.51  | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | |   (7761)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 169.08/25.51  | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | BETA: splitting (235) gives:
% 169.08/25.51  | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | Case 1:
% 169.08/25.51  | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | |   (7762)  all_54_13 = e0
% 169.08/25.51  | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | COMBINE_EQS: (466), (7762) imply:
% 169.08/25.51  | | | | | | | | | | | |   (7763)  all_52_7 = e0
% 169.08/25.51  | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | COMBINE_EQS: (540), (7763) imply:
% 169.08/25.51  | | | | | | | | | | | |   (7764)  all_58_23 = e0
% 169.08/25.51  | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | REDUCE: (184), (7763) imply:
% 169.08/25.51  | | | | | | | | | | | |   (7765)   ~ (all_52_3 = e0)
% 169.08/25.51  | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | REDUCE: (179), (7763) imply:
% 169.08/25.51  | | | | | | | | | | | |   (7766)   ~ (all_52_4 = e0)
% 169.08/25.51  | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | REDUCE: (172), (7763) imply:
% 169.08/25.51  | | | | | | | | | | | |   (7767)   ~ (all_52_6 = e0)
% 169.08/25.51  | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | REDUCE: (169), (7763) imply:
% 169.08/25.51  | | | | | | | | | | | |   (7768)   ~ (all_52_11 = e0)
% 169.08/25.51  | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | SIMP: (7768) implies:
% 169.08/25.51  | | | | | | | | | | | |   (7769)   ~ (all_52_11 = e0)
% 169.08/25.51  | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | REDUCE: (562), (7763) imply:
% 169.08/25.51  | | | | | | | | | | | |   (7770)   ~ (all_4_2 = e0)
% 169.08/25.51  | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | SIMP: (7770) implies:
% 169.08/25.51  | | | | | | | | | | | |   (7771)   ~ (all_4_2 = e0)
% 169.08/25.51  | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | REDUCE: (632), (7763) imply:
% 169.08/25.51  | | | | | | | | | | | |   (7772)  op(e0, e0) = all_58_13
% 169.08/25.51  | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 169.08/25.51  | | | | | | | | | | | |              all_58_13, e0, e0, simplifying with (61), (7772)
% 169.08/25.51  | | | | | | | | | | | |              gives:
% 169.08/25.51  | | | | | | | | | | | |   (7773)  all_58_13 = all_14_2
% 169.08/25.51  | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | BETA: splitting (273) gives:
% 169.08/25.51  | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | Case 1:
% 169.08/25.51  | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | |   (7774)  all_56_6 = e0
% 169.08/25.51  | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | COMBINE_EQS: (413), (7774) imply:
% 169.08/25.51  | | | | | | | | | | | | |   (7775)  all_52_2 = e0
% 169.08/25.51  | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | COMBINE_EQS: (371), (7775) imply:
% 169.08/25.51  | | | | | | | | | | | | |   (7776)  all_58_18 = e0
% 169.08/25.51  | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | REDUCE: (193), (7775) imply:
% 169.08/25.51  | | | | | | | | | | | | |   (7777)   ~ (all_52_1 = e0)
% 169.08/25.51  | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | REDUCE: (188), (7775) imply:
% 169.08/25.51  | | | | | | | | | | | | |   (7778)   ~ (all_52_3 = e0)
% 169.08/25.51  | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | REDUCE: (187), (7775) imply:
% 169.08/25.51  | | | | | | | | | | | | |   (7779)   ~ (all_52_6 = e0)
% 169.08/25.51  | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | REDUCE: (185), (7775) imply:
% 169.08/25.51  | | | | | | | | | | | | |   (7780)   ~ (all_52_14 = e0)
% 169.08/25.51  | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | SIMP: (7780) implies:
% 169.08/25.51  | | | | | | | | | | | | |   (7781)   ~ (all_52_14 = e0)
% 169.08/25.51  | | | | | | | | | | | | | 
% 169.08/25.51  | | | | | | | | | | | | | REDUCE: (546), (7775) imply:
% 169.08/25.51  | | | | | | | | | | | | |   (7782)   ~ (all_6_2 = e0)
% 169.08/25.51  | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (41), (42), (51),
% 169.08/25.52  | | | | | | | | | | | | |            (52), (154), (156), (157), (161), (162), (164),
% 169.08/25.52  | | | | | | | | | | | | |            (165), (167), (170), (177), (178), (180), (189),
% 169.08/25.52  | | | | | | | | | | | | |            (190), (192), (202), (203), (208), (213), (214),
% 169.08/25.52  | | | | | | | | | | | | |            (236), (239), (241), (243), (247), (248), (268),
% 169.08/25.52  | | | | | | | | | | | | |            (269), (271), (272), (275), (276), (277), (281),
% 169.08/25.52  | | | | | | | | | | | | |            (282), (284), (285), (286), (287), (290), (291),
% 169.08/25.52  | | | | | | | | | | | | |            (292), (293), (294), (295), (330), (331), (332),
% 169.08/25.52  | | | | | | | | | | | | |            (334), (335), (347), (348), (351), (356), (368),
% 169.08/25.52  | | | | | | | | | | | | |            (374), (377), (386), (389), (390), (395), (396),
% 169.08/25.52  | | | | | | | | | | | | |            (407), (411), (425), (429), (431), (439), (441),
% 169.08/25.52  | | | | | | | | | | | | |            (446), (456), (462), (465), (530), (531), (532),
% 169.08/25.52  | | | | | | | | | | | | |            (533), (534), (535), (536), (537), (538), (539),
% 169.08/25.52  | | | | | | | | | | | | |            (540), (542), (544), (548), (550), (552), (554),
% 169.08/25.52  | | | | | | | | | | | | |            (555), (558), (560), (562), (564), (566), (567),
% 169.08/25.52  | | | | | | | | | | | | |            (569), (570), (574), (576), (577), (578), (619),
% 169.08/25.52  | | | | | | | | | | | | |            (620), (626), (629), (631), (5110), (6413),
% 169.08/25.52  | | | | | | | | | | | | |            (7743), (7751), (7757), (7765), (7766), (7767),
% 169.08/25.52  | | | | | | | | | | | | |            (7774), (7776), (7777), (7781), (7782),
% 169.08/25.52  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 169.08/25.52  | | | | | | | | | | | | |            #9.
% 169.08/25.52  | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | Case 2:
% 169.08/25.52  | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | |   (7783)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 169.08/25.52  | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | BETA: splitting (7783) gives:
% 169.08/25.52  | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | Case 1:
% 169.08/25.52  | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | |   (7784)  all_56_7 = e0
% 169.08/25.52  | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | COMBINE_EQS: (425), (7784) imply:
% 169.08/25.52  | | | | | | | | | | | | | |   (7785)  all_52_6 = e0
% 169.08/25.52  | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | REDUCE: (7767), (7785) imply:
% 169.08/25.52  | | | | | | | | | | | | | |   (7786)  $false
% 169.08/25.52  | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | CLOSE: (7786) is inconsistent.
% 169.08/25.52  | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | Case 2:
% 169.08/25.52  | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | |   (7787)  all_56_8 = e0 | all_56_11 = e0
% 169.08/25.52  | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | BETA: splitting (7787) gives:
% 169.08/25.52  | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | Case 1:
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | |   (7788)  all_56_8 = e0
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | COMBINE_EQS: (534), (7788) imply:
% 169.08/25.52  | | | | | | | | | | | | | | |   (7789)  all_10_2 = e0
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | REDUCE: (6417), (7789) imply:
% 169.08/25.52  | | | | | | | | | | | | | | |   (7790)  $false
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | CLOSE: (7790) is inconsistent.
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | Case 2:
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | |   (7791)  all_56_11 = e0
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | COMBINE_EQS: (441), (7791) imply:
% 169.08/25.52  | | | | | | | | | | | | | | |   (7792)  all_52_14 = e0
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | SIMP: (7792) implies:
% 169.08/25.52  | | | | | | | | | | | | | | |   (7793)  all_52_14 = e0
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | COMBINE_EQS: (356), (7793) imply:
% 169.08/25.52  | | | | | | | | | | | | | | |   (7794)  all_58_30 = e0
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | REDUCE: (185), (7793) imply:
% 169.08/25.52  | | | | | | | | | | | | | | |   (7795)   ~ (all_52_2 = e0)
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | REDUCE: (578), (7793) imply:
% 169.08/25.52  | | | | | | | | | | | | | | |   (7796)   ~ (all_14_2 = e0)
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | REDUCE: (574), (7793) imply:
% 169.08/25.52  | | | | | | | | | | | | | | |   (7797)   ~ (all_10_2 = e0)
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | Case 1:
% 169.08/25.52  | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | |   (7798)  all_56_0 = e0
% 169.08/25.52  | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (42), (154), (156),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (157), (161), (162), (164), (165), (170), (177),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (180), (183), (185), (187), (189), (190), (192),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (193), (203), (204), (208), (212), (234), (239),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (241), (244), (245), (247), (270), (273), (276),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (278), (279), (281), (282), (284), (286), (287),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (293), (330), (331), (332), (334), (335), (341),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (347), (351), (356), (368), (371), (374), (377),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (386), (389), (390), (395), (396), (407), (411),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (413), (425), (429), (431), (435), (439), (441),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (446), (448), (456), (460), (462), (468), (534),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (541), (542),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (544), (546), (548), (550), (556), (558), (567),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (572), (576), (577), (578), (619), (625), (630),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (6417), (7761), (7764), (7767), (7771), (7773),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (7798), (function-axioms) are inconsistent by
% 169.08/25.52  | | | | | | | | | | | | | | | |            sub-proof #73.
% 169.08/25.52  | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | Case 2:
% 169.08/25.52  | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | |   (7799)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 169.08/25.52  | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | BETA: splitting (7799) gives:
% 169.08/25.52  | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | Case 1:
% 169.08/25.52  | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | |   (7800)  all_56_2 = e0
% 169.08/25.52  | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (7800) imply:
% 169.08/25.52  | | | | | | | | | | | | | | | | |   (7801)  all_52_1 = e0
% 169.08/25.52  | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (7801) imply:
% 169.08/25.52  | | | | | | | | | | | | | | | | |   (7802)  all_58_17 = e0
% 169.08/25.52  | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | REDUCE: (193), (7801) imply:
% 169.08/25.52  | | | | | | | | | | | | | | | | |   (7803)   ~ (all_52_2 = e0)
% 169.08/25.52  | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | REDUCE: (192), (7801) imply:
% 169.08/25.52  | | | | | | | | | | | | | | | | |   (7804)   ~ (all_52_3 = e0)
% 169.08/25.52  | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | REDUCE: (189), (7801) imply:
% 169.08/25.52  | | | | | | | | | | | | | | | | |   (7805)   ~ (all_52_13 = e0)
% 169.08/25.52  | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | SIMP: (7805) implies:
% 169.08/25.52  | | | | | | | | | | | | | | | | |   (7806)   ~ (all_52_13 = e0)
% 169.08/25.52  | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 169.08/25.52  | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | Case 1:
% 169.08/25.52  | | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | |   (7807)  all_56_4 = e0
% 169.08/25.52  | | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (7807) imply:
% 169.08/25.52  | | | | | | | | | | | | | | | | | |   (7808)  all_52_8 = e0
% 169.08/25.52  | | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (7808) imply:
% 169.08/25.52  | | | | | | | | | | | | | | | | | |   (7809)  all_58_24 = e0
% 169.08/25.52  | | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | | REDUCE: (167), (7808) imply:
% 169.08/25.52  | | | | | | | | | | | | | | | | | |   (7810)   ~ (all_52_9 = e0)
% 169.08/25.52  | | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | | SIMP: (7810) implies:
% 169.08/25.52  | | | | | | | | | | | | | | | | | |   (7811)   ~ (all_52_9 = e0)
% 169.08/25.52  | | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | | REDUCE: (552), (7808) imply:
% 169.08/25.52  | | | | | | | | | | | | | | | | | |   (7812)   ~ (all_6_2 = e0)
% 169.08/25.52  | | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | | SIMP: (7812) implies:
% 169.08/25.52  | | | | | | | | | | | | | | | | | |   (7813)   ~ (all_6_2 = e0)
% 169.08/25.52  | | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | | REDUCE: (621), (7808) imply:
% 169.08/25.52  | | | | | | | | | | | | | | | | | |   (7814)  op(e3, e0) = all_58_2
% 169.08/25.52  | | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 169.08/25.52  | | | | | | | | | | | | | | | | | |              all_58_2, e0, e3, simplifying with (212), (7814)
% 169.08/25.52  | | | | | | | | | | | | | | | | | |              gives:
% 169.08/25.52  | | | | | | | | | | | | | | | | | |   (7815)  all_58_2 = all_52_12
% 169.08/25.52  | | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (52), (62),
% 169.08/25.52  | | | | | | | | | | | | | | | | | |            (161), (162), (180), (187), (188), (207), (212),
% 169.08/25.52  | | | | | | | | | | | | | | | | | |            (236), (239), (240), (242), (243), (247), (248),
% 169.08/25.52  | | | | | | | | | | | | | | | | | |            (269), (270), (271), (274), (275), (276), (278),
% 169.08/25.52  | | | | | | | | | | | | | | | | | |            (282), (291), (293), (295), (331), (332), (334),
% 169.08/25.52  | | | | | | | | | | | | | | | | | |            (335), (341), (347), (351), (371), (374), (377),
% 169.08/25.52  | | | | | | | | | | | | | | | | | |            (386), (390), (407), (413), (425), (431), (435),
% 169.08/25.52  | | | | | | | | | | | | | | | | | |            (439), (446), (453), (455), (456), (465), (531),
% 169.08/25.52  | | | | | | | | | | | | | | | | | |            (532), (533), (534), (535), (536), (537), (538),
% 169.08/25.52  | | | | | | | | | | | | | | | | | |            (539), (542), (546), (548), (550), (554), (556),
% 169.08/25.52  | | | | | | | | | | | | | | | | | |            (557), (558), (560), (564), (566), (570), (572),
% 169.08/25.52  | | | | | | | | | | | | | | | | | |            (575), (576), (577), (628), (629), (7740), (7741),
% 169.08/25.52  | | | | | | | | | | | | | | | | | |            (7743), (7752), (7761), (7764), (7765), (7766),
% 169.08/25.52  | | | | | | | | | | | | | | | | | |            (7767), (7769), (7771), (7791), (7794), (7795),
% 169.08/25.52  | | | | | | | | | | | | | | | | | |            (7800), (7802), (7806), (7807), (7809), (7811),
% 169.08/25.52  | | | | | | | | | | | | | | | | | |            (7813), (function-axioms) are inconsistent by
% 169.08/25.52  | | | | | | | | | | | | | | | | | |            sub-proof #54.
% 169.08/25.52  | | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | Case 2:
% 169.08/25.52  | | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | |   (7816)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 169.08/25.52  | | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | | REF_CLOSE: (190), (351), (411), (413), (431), (435), (534),
% 169.08/25.52  | | | | | | | | | | | | | | | | | |            (6417), (7765), (7769), (7795), (7799), (7816) are
% 169.08/25.52  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #913.
% 169.08/25.52  | | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | End of split
% 169.08/25.52  | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | Case 2:
% 169.08/25.52  | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | |   (7817)  all_56_6 = e0 | all_56_12 = e0
% 169.08/25.52  | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | REF_CLOSE: (351), (413), (7765), (7795), (7817) are
% 169.08/25.52  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #918.
% 169.08/25.52  | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | End of split
% 169.08/25.52  | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | End of split
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | End of split
% 169.08/25.52  | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | End of split
% 169.08/25.52  | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | End of split
% 169.08/25.52  | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | Case 2:
% 169.08/25.52  | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | |   (7818)   ~ (all_54_13 = e0)
% 169.08/25.52  | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | REDUCE: (466), (7818) imply:
% 169.08/25.52  | | | | | | | | | | | |   (7819)   ~ (all_52_7 = e0)
% 169.08/25.52  | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | BETA: splitting (234) gives:
% 169.08/25.52  | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | Case 1:
% 169.08/25.52  | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | |   (7820)  all_54_14 = e0
% 169.08/25.52  | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | COMBINE_EQS: (468), (7820) imply:
% 169.08/25.52  | | | | | | | | | | | | |   (7821)  all_52_11 = e0
% 169.08/25.52  | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | SIMP: (7821) implies:
% 169.08/25.52  | | | | | | | | | | | | |   (7822)  all_52_11 = e0
% 169.08/25.52  | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | COMBINE_EQS: (347), (7822) imply:
% 169.08/25.52  | | | | | | | | | | | | |   (7823)  all_58_27 = e0
% 169.08/25.52  | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | REDUCE: (183), (7822) imply:
% 169.08/25.52  | | | | | | | | | | | | |   (7824)   ~ (all_52_3 = e0)
% 169.08/25.52  | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | REDUCE: (165), (7822) imply:
% 169.08/25.52  | | | | | | | | | | | | |   (7825)   ~ (all_52_8 = e0)
% 169.08/25.52  | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | REDUCE: (162), (7822) imply:
% 169.08/25.52  | | | | | | | | | | | | |   (7826)   ~ (all_52_9 = e0)
% 169.08/25.52  | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | REDUCE: (575), (7822) imply:
% 169.08/25.52  | | | | | | | | | | | | |   (7827)   ~ (all_14_2 = e0)
% 169.08/25.52  | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | REDUCE: (572), (7822) imply:
% 169.08/25.52  | | | | | | | | | | | | |   (7828)   ~ (all_10_2 = e0)
% 169.08/25.52  | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | REDUCE: (633), (7822) imply:
% 169.08/25.52  | | | | | | | | | | | | |   (7829)  op(e0, e0) = all_58_14
% 169.08/25.52  | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 169.08/25.52  | | | | | | | | | | | | |              all_58_14, e0, e0, simplifying with (61), (7829)
% 169.08/25.52  | | | | | | | | | | | | |              gives:
% 169.08/25.52  | | | | | | | | | | | | |   (7830)  all_58_14 = all_14_2
% 169.08/25.52  | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | BETA: splitting (236) gives:
% 169.08/25.52  | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | Case 1:
% 169.08/25.52  | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | |   (7831)  all_54_12 = e0
% 169.08/25.52  | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | COMBINE_EQS: (465), (7831) imply:
% 169.08/25.52  | | | | | | | | | | | | | |   (7832)  all_52_3 = e0
% 169.08/25.52  | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | REDUCE: (7824), (7832) imply:
% 169.08/25.52  | | | | | | | | | | | | | |   (7833)  $false
% 169.08/25.52  | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | CLOSE: (7833) is inconsistent.
% 169.08/25.52  | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | Case 2:
% 169.08/25.52  | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | |   (7834)   ~ (all_54_12 = e0)
% 169.08/25.52  | | | | | | | | | | | | | |   (7835)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 169.08/25.52  | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 169.08/25.52  | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | Case 1:
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | |   (7836)  all_54_3 = e0
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | COMBINE_EQS: (460), (7836) imply:
% 169.08/25.52  | | | | | | | | | | | | | | |   (7837)  all_52_12 = e0
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | SIMP: (7837) implies:
% 169.08/25.52  | | | | | | | | | | | | | | |   (7838)  all_52_12 = e0
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | REDUCE: (157), (7838) imply:
% 169.08/25.52  | | | | | | | | | | | | | | |   (7839)   ~ (all_52_13 = e0)
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | SIMP: (7839) implies:
% 169.08/25.52  | | | | | | | | | | | | | | |   (7840)   ~ (all_52_13 = e0)
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | REDUCE: (156), (7838) imply:
% 169.08/25.52  | | | | | | | | | | | | | | |   (7841)   ~ (all_52_14 = e0)
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | SIMP: (7841) implies:
% 169.08/25.52  | | | | | | | | | | | | | | |   (7842)   ~ (all_52_14 = e0)
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | REDUCE: (554), (7838) imply:
% 169.08/25.52  | | | | | | | | | | | | | | |   (7843)   ~ (all_6_2 = e0)
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | SIMP: (7843) implies:
% 169.08/25.52  | | | | | | | | | | | | | | |   (7844)   ~ (all_6_2 = e0)
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | Case 1:
% 169.08/25.52  | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | |   (7845)  all_56_6 = e0
% 169.08/25.52  | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (7845) imply:
% 169.08/25.52  | | | | | | | | | | | | | | | |   (7846)  all_52_2 = e0
% 169.08/25.52  | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (7846) imply:
% 169.08/25.52  | | | | | | | | | | | | | | | |   (7847)  all_58_18 = e0
% 169.08/25.52  | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | REDUCE: (193), (7846) imply:
% 169.08/25.52  | | | | | | | | | | | | | | | |   (7848)   ~ (all_52_1 = e0)
% 169.08/25.52  | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | REDUCE: (188), (7846) imply:
% 169.08/25.52  | | | | | | | | | | | | | | | |   (7849)   ~ (all_52_3 = e0)
% 169.08/25.52  | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | REDUCE: (187), (7846) imply:
% 169.08/25.52  | | | | | | | | | | | | | | | |   (7850)   ~ (all_52_6 = e0)
% 169.08/25.52  | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | SIMP: (7850) implies:
% 169.08/25.52  | | | | | | | | | | | | | | | |   (7851)   ~ (all_52_6 = e0)
% 169.08/25.52  | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (41), (42), (51),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (52), (154), (156), (157), (161), (162), (164),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (165), (167), (170), (177), (178), (180), (189),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (190), (192), (202), (203), (208), (213), (214),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (236), (239), (241), (243), (247), (248), (268),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (269), (271), (272), (275), (276), (277), (281),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (282), (284), (285), (286), (287), (290), (291),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (292), (293), (294), (295), (330), (331), (332),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (334), (335), (347), (348), (351), (356), (368),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (374), (377), (386), (389), (390), (395), (396),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (407), (411), (425), (429), (431), (439), (441),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (446), (456), (462), (465), (530), (531), (532),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (533), (534), (535), (536), (537), (538), (539),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (540), (542), (544), (548), (550), (552), (554),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (555), (558), (560), (562), (564), (566), (567),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (569), (570), (574), (576), (577), (578), (619),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (620), (626), (629), (631), (5110), (6413),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (7743), (7751), (7757), (7824), (7840), (7842),
% 169.08/25.52  | | | | | | | | | | | | | | | |            (7845), (7847), (7848), (7851), (function-axioms)
% 169.08/25.52  | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #8.
% 169.08/25.52  | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | Case 2:
% 169.08/25.52  | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | |   (7852)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 169.08/25.52  | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | BETA: splitting (7852) gives:
% 169.08/25.52  | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | Case 1:
% 169.08/25.52  | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | |   (7853)  all_56_7 = e0
% 169.08/25.52  | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (7853) imply:
% 169.08/25.52  | | | | | | | | | | | | | | | | |   (7854)  all_52_6 = e0
% 169.08/25.52  | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | COMBINE_EQS: (368), (7854) imply:
% 169.08/25.52  | | | | | | | | | | | | | | | | |   (7855)  all_58_22 = e0
% 169.08/25.52  | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | REDUCE: (187), (7854) imply:
% 169.08/25.52  | | | | | | | | | | | | | | | | |   (7856)   ~ (all_52_2 = e0)
% 169.08/25.52  | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | REDUCE: (172), (7854) imply:
% 169.08/25.52  | | | | | | | | | | | | | | | | |   (7857)   ~ (all_52_7 = e0)
% 169.08/25.52  | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | REDUCE: (560), (7854) imply:
% 169.08/25.52  | | | | | | | | | | | | | | | | |   (7858)   ~ (all_4_2 = e0)
% 169.08/25.52  | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | SIMP: (7858) implies:
% 169.08/25.52  | | | | | | | | | | | | | | | | |   (7859)   ~ (all_4_2 = e0)
% 169.08/25.52  | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (36), (157), (184), (185),
% 169.08/25.52  | | | | | | | | | | | | | | | | |            (188), (235), (248), (270), (272), (289), (291),
% 169.08/25.52  | | | | | | | | | | | | | | | | |            (293), (295), (296), (331), (333), (334), (335),
% 169.08/25.52  | | | | | | | | | | | | | | | | |            (351), (356), (371), (374), (386), (389), (390),
% 169.08/25.52  | | | | | | | | | | | | | | | | |            (407), (411), (413), (439), (441), (466), (532),
% 169.08/25.52  | | | | | | | | | | | | | | | | |            (533), (536), (537), (538), (539), (540), (541),
% 169.08/25.52  | | | | | | | | | | | | | | | | |            (542), (544), (546), (548), (550), (554), (556),
% 169.08/25.52  | | | | | | | | | | | | | | | | |            (557), (562), (568), (576), (624), (5110), (7751),
% 169.08/25.52  | | | | | | | | | | | | | | | | |            (7819), (7823), (7824), (7840), (7842), (7844),
% 169.08/25.52  | | | | | | | | | | | | | | | | |            (7855), (7856), (7859), (function-axioms) are
% 169.08/25.52  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #52.
% 169.08/25.52  | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | Case 2:
% 169.08/25.52  | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | |   (7860)  all_56_8 = e0 | all_56_11 = e0
% 169.08/25.52  | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (534), (6417), (7842), (7860) are
% 169.08/25.52  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #912.
% 169.08/25.52  | | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | | End of split
% 169.08/25.52  | | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | End of split
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | Case 2:
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | |   (7861)   ~ (all_54_3 = e0)
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | REDUCE: (460), (7861) imply:
% 169.08/25.52  | | | | | | | | | | | | | | |   (7862)   ~ (all_52_12 = e0)
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (42), (61),
% 169.08/25.52  | | | | | | | | | | | | | | |            (154), (156), (157), (161), (164), (165), (167),
% 169.08/25.52  | | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 169.08/25.52  | | | | | | | | | | | | | | |            (183), (184), (185), (187), (188), (189), (190),
% 169.08/25.52  | | | | | | | | | | | | | | |            (192), (193), (202), (203), (204), (207), (208),
% 169.08/25.52  | | | | | | | | | | | | | | |            (211), (212), (213), (237), (240), (242), (243),
% 169.08/25.52  | | | | | | | | | | | | | | |            (244), (245), (246), (247), (248), (267), (270),
% 169.08/25.52  | | | | | | | | | | | | | | |            (273), (274), (275), (277), (278), (279), (280),
% 169.08/25.52  | | | | | | | | | | | | | | |            (281), (282), (284), (285), (286), (287), (288),
% 169.08/25.52  | | | | | | | | | | | | | | |            (289), (290), (291), (293), (294), (295), (330),
% 169.08/25.52  | | | | | | | | | | | | | | |            (331), (332), (333), (334), (335), (341), (347),
% 169.08/25.52  | | | | | | | | | | | | | | |            (348), (351), (356), (368), (371), (374), (377),
% 169.08/25.52  | | | | | | | | | | | | | | |            (386), (389), (390), (395), (396), (407), (411),
% 169.08/25.52  | | | | | | | | | | | | | | |            (413), (421), (425), (429), (431), (435), (439),
% 169.08/25.52  | | | | | | | | | | | | | | |            (441), (446), (448), (451), (453), (455), (460),
% 169.08/25.52  | | | | | | | | | | | | | | |            (463), (465), (521), (530), (531), (532), (533),
% 169.08/25.52  | | | | | | | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 169.08/25.52  | | | | | | | | | | | | | | |            (541), (542), (544), (546), (548), (550), (552),
% 169.08/25.52  | | | | | | | | | | | | | | |            (554), (555), (556), (557), (558), (560), (562),
% 169.08/25.52  | | | | | | | | | | | | | | |            (564), (566), (567), (568), (569), (570), (574),
% 169.08/25.52  | | | | | | | | | | | | | | |            (576), (577), (578), (619), (621), (624), (626),
% 169.08/25.52  | | | | | | | | | | | | | | |            (628), (630), (631), (633), (634), (684), (713),
% 169.08/25.52  | | | | | | | | | | | | | | |            (5109), (5110), (6411), (6416), (6417), (7746),
% 169.08/25.52  | | | | | | | | | | | | | | |            (7750), (7751), (7752), (7757), (7761), (7823),
% 169.08/25.52  | | | | | | | | | | | | | | |            (7824), (7825), (7826), (7835), (7862),
% 169.08/25.52  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 169.08/25.52  | | | | | | | | | | | | | | |            #3.
% 169.08/25.52  | | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | | End of split
% 169.08/25.52  | | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | End of split
% 169.08/25.52  | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | Case 2:
% 169.08/25.52  | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | |   (7863)   ~ (all_54_14 = e0)
% 169.08/25.52  | | | | | | | | | | | | |   (7864)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 169.08/25.52  | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | REDUCE: (468), (7863) imply:
% 169.08/25.52  | | | | | | | | | | | | |   (7865)   ~ (all_52_11 = e0)
% 169.08/25.52  | | | | | | | | | | | | | 
% 169.08/25.52  | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (42), (154),
% 169.08/25.52  | | | | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 169.08/25.52  | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 169.08/25.52  | | | | | | | | | | | | |            (183), (184), (185), (187), (189), (190), (192),
% 169.08/25.52  | | | | | | | | | | | | |            (193), (202), (207), (211), (234), (235), (240),
% 169.08/25.52  | | | | | | | | | | | | |            (241), (243), (244), (247), (248), (267), (270),
% 169.08/25.52  | | | | | | | | | | | | |            (274), (277), (278), (281), (282), (285), (288),
% 169.08/25.53  | | | | | | | | | | | | |            (291), (292), (293), (294), (295), (331), (332),
% 169.08/25.53  | | | | | | | | | | | | |            (333), (334), (341), (347), (348), (351), (356),
% 169.08/25.53  | | | | | | | | | | | | |            (368), (374), (377), (386), (389), (390), (395),
% 169.08/25.53  | | | | | | | | | | | | |            (396), (407), (411), (413), (425), (429), (431),
% 169.08/25.53  | | | | | | | | | | | | |            (435), (439), (441), (446), (448), (455), (462),
% 169.08/25.53  | | | | | | | | | | | | |            (466), (468), (521), (531), (532), (533), (534),
% 169.08/25.53  | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (540), (541),
% 169.08/25.53  | | | | | | | | | | | | |            (542), (544), (546), (548), (550), (552), (554),
% 169.08/25.53  | | | | | | | | | | | | |            (555), (556), (557), (558), (560), (562), (564),
% 169.08/25.53  | | | | | | | | | | | | |            (566), (567), (568), (569), (572), (574), (575),
% 169.08/25.53  | | | | | | | | | | | | |            (576), (577), (578), (624), (684), (5110), (6411),
% 169.08/25.53  | | | | | | | | | | | | |            (6416), (6417), (7750), (7751), (7761), (7819),
% 169.08/25.53  | | | | | | | | | | | | |            (7864), (7865), (function-axioms) are inconsistent
% 169.08/25.53  | | | | | | | | | | | | |            by sub-proof #2.
% 169.08/25.53  | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | End of split
% 169.08/25.53  | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | End of split
% 169.08/25.53  | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | End of split
% 169.08/25.53  | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | End of split
% 169.08/25.53  | | | | | | | | | 
% 169.08/25.53  | | | | | | | | End of split
% 169.08/25.53  | | | | | | | | 
% 169.08/25.53  | | | | | | | End of split
% 169.08/25.53  | | | | | | | 
% 169.08/25.53  | | | | | | Case 2:
% 169.08/25.53  | | | | | | | 
% 169.08/25.53  | | | | | | |   (7866)  all_20_1 = e0
% 169.08/25.53  | | | | | | | 
% 169.08/25.53  | | | | | | | COMBINE_EQS: (682), (7866) imply:
% 169.08/25.53  | | | | | | |   (7867)  all_10_1 = e0
% 169.08/25.53  | | | | | | | 
% 169.08/25.53  | | | | | | | COMBINE_EQS: (646), (7867) imply:
% 169.08/25.53  | | | | | | |   (7868)  all_34_1 = e0
% 169.08/25.53  | | | | | | | 
% 169.08/25.53  | | | | | | | REDUCE: (53), (7867) imply:
% 169.08/25.53  | | | | | | |   (7869)  op(e0, all_10_2) = all_10_0
% 169.08/25.53  | | | | | | | 
% 169.08/25.53  | | | | | | | REDUCE: (52), (7867) imply:
% 169.08/25.53  | | | | | | |   (7870)  op(all_10_2, e1) = e0
% 169.08/25.53  | | | | | | | 
% 169.08/25.53  | | | | | | | BETA: splitting (112) gives:
% 169.08/25.53  | | | | | | | 
% 169.08/25.53  | | | | | | | Case 1:
% 169.08/25.53  | | | | | | | | 
% 169.08/25.53  | | | | | | | |   (7871)   ~ (all_34_1 = e0)
% 169.08/25.53  | | | | | | | | 
% 169.08/25.53  | | | | | | | | REDUCE: (7868), (7871) imply:
% 169.08/25.53  | | | | | | | |   (7872)  $false
% 169.08/25.53  | | | | | | | | 
% 169.08/25.53  | | | | | | | | CLOSE: (7872) is inconsistent.
% 169.08/25.53  | | | | | | | | 
% 169.08/25.53  | | | | | | | Case 2:
% 169.08/25.53  | | | | | | | | 
% 169.08/25.53  | | | | | | | |   (7873)   ~ (all_34_0 = e2) |  ~ (all_34_2 = e3)
% 169.08/25.53  | | | | | | | | 
% 169.08/25.53  | | | | | | | | BETA: splitting (136) gives:
% 169.08/25.53  | | | | | | | | 
% 169.08/25.53  | | | | | | | | Case 1:
% 169.08/25.53  | | | | | | | | | 
% 169.08/25.53  | | | | | | | | |   (7874)   ~ (all_44_1 = e0)
% 169.08/25.53  | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | REDUCE: (5108), (7874) imply:
% 169.08/25.53  | | | | | | | | |   (7875)  $false
% 169.08/25.53  | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | CLOSE: (7875) is inconsistent.
% 169.08/25.53  | | | | | | | | | 
% 169.08/25.53  | | | | | | | | Case 2:
% 169.08/25.53  | | | | | | | | | 
% 169.08/25.53  | | | | | | | | |   (7876)   ~ (all_44_0 = e1) |  ~ (all_44_2 = e3)
% 169.08/25.53  | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | BETA: splitting (266) gives:
% 169.08/25.53  | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | Case 1:
% 169.08/25.53  | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | |   (7877)  all_56_15 = e0
% 169.08/25.53  | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | REF_CLOSE: (4), (61), (62), (533), (634), (7741), (7877),
% 169.08/25.53  | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 169.08/25.53  | | | | | | | | | |            #400.
% 169.08/25.53  | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | Case 2:
% 169.08/25.53  | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | |   (7878)   ~ (all_56_15 = e0)
% 169.08/25.53  | | | | | | | | | |   (7879)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0)
% 169.08/25.53  | | | | | | | | | |           & (all_56_12 = e0 | all_56_13 = e0 | all_56_14 =
% 169.08/25.53  | | | | | | | | | |             e0)
% 169.08/25.53  | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | ALPHA: (7879) implies:
% 169.08/25.53  | | | | | | | | | |   (7880)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 169.08/25.53  | | | | | | | | | |   (7881)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 169.08/25.53  | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | REDUCE: (533), (7878) imply:
% 169.08/25.53  | | | | | | | | | |   (7882)   ~ (all_14_2 = e0)
% 169.08/25.53  | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | BETA: splitting (238) gives:
% 169.08/25.53  | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | Case 1:
% 169.08/25.53  | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | |   (7883)  all_54_10 = e0
% 169.08/25.53  | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | COMBINE_EQS: (530), (7883) imply:
% 169.08/25.53  | | | | | | | | | | |   (7884)  all_10_2 = e0
% 169.08/25.53  | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | REDUCE: (6417), (7884) imply:
% 169.08/25.53  | | | | | | | | | | |   (7885)  $false
% 169.08/25.53  | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | CLOSE: (7885) is inconsistent.
% 169.08/25.53  | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | Case 2:
% 169.08/25.53  | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | |   (7886)   ~ (all_54_10 = e0)
% 169.08/25.53  | | | | | | | | | | |   (7887)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 169.08/25.53  | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | BETA: splitting (233) gives:
% 169.08/25.53  | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | Case 1:
% 169.08/25.53  | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | |   (7888)  all_54_15 = e0
% 169.08/25.53  | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | COMBINE_EQS: (341), (7888) imply:
% 169.08/25.53  | | | | | | | | | | | |   (7889)  all_14_2 = e0
% 169.08/25.53  | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | REDUCE: (7882), (7889) imply:
% 169.08/25.53  | | | | | | | | | | | |   (7890)  $false
% 169.08/25.53  | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | CLOSE: (7890) is inconsistent.
% 169.08/25.53  | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | Case 2:
% 169.08/25.53  | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | |   (7891)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 169.08/25.53  | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | BETA: splitting (235) gives:
% 169.08/25.53  | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | Case 1:
% 169.08/25.53  | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | |   (7892)  all_54_13 = e0
% 169.08/25.53  | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | COMBINE_EQS: (466), (7892) imply:
% 169.08/25.53  | | | | | | | | | | | | |   (7893)  all_52_7 = e0
% 169.08/25.53  | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | COMBINE_EQS: (348), (7893) imply:
% 169.08/25.53  | | | | | | | | | | | | |   (7894)  all_56_13 = e0
% 169.08/25.53  | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | COMBINE_EQS: (540), (7893) imply:
% 169.08/25.53  | | | | | | | | | | | | |   (7895)  all_58_23 = e0
% 169.08/25.53  | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | REDUCE: (179), (7893) imply:
% 169.08/25.53  | | | | | | | | | | | | |   (7896)   ~ (all_52_4 = e0)
% 169.08/25.53  | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | REDUCE: (172), (7893) imply:
% 169.08/25.53  | | | | | | | | | | | | |   (7897)   ~ (all_52_6 = e0)
% 169.08/25.53  | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | REDUCE: (169), (7893) imply:
% 169.08/25.53  | | | | | | | | | | | | |   (7898)   ~ (all_52_11 = e0)
% 169.08/25.53  | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | SIMP: (7898) implies:
% 169.08/25.53  | | | | | | | | | | | | |   (7899)   ~ (all_52_11 = e0)
% 169.08/25.53  | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | REDUCE: (562), (7893) imply:
% 169.08/25.53  | | | | | | | | | | | | |   (7900)   ~ (all_4_2 = e0)
% 169.08/25.53  | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | SIMP: (7900) implies:
% 169.08/25.53  | | | | | | | | | | | | |   (7901)   ~ (all_4_2 = e0)
% 169.08/25.53  | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | REDUCE: (632), (7893) imply:
% 169.08/25.53  | | | | | | | | | | | | |   (7902)  op(e0, e0) = all_58_13
% 169.08/25.53  | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 169.08/25.53  | | | | | | | | | | | | |              all_58_13, e0, e0, simplifying with (61), (7902)
% 169.08/25.53  | | | | | | | | | | | | |              gives:
% 169.08/25.53  | | | | | | | | | | | | |   (7903)  all_58_13 = all_14_2
% 169.08/25.53  | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | BETA: splitting (273) gives:
% 169.08/25.53  | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | Case 1:
% 169.08/25.53  | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | |   (7904)  all_56_6 = e0
% 169.08/25.53  | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | | COMBINE_EQS: (413), (7904) imply:
% 169.08/25.53  | | | | | | | | | | | | | |   (7905)  all_52_2 = e0
% 169.08/25.53  | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | | COMBINE_EQS: (371), (7905) imply:
% 169.08/25.53  | | | | | | | | | | | | | |   (7906)  all_58_18 = e0
% 169.08/25.53  | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | | REDUCE: (193), (7905) imply:
% 169.08/25.53  | | | | | | | | | | | | | |   (7907)   ~ (all_52_1 = e0)
% 169.08/25.53  | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | | REDUCE: (188), (7905) imply:
% 169.08/25.53  | | | | | | | | | | | | | |   (7908)   ~ (all_52_3 = e0)
% 169.08/25.53  | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | | SIMP: (7908) implies:
% 169.08/25.53  | | | | | | | | | | | | | |   (7909)   ~ (all_52_3 = e0)
% 169.08/25.53  | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | | REDUCE: (187), (7905) imply:
% 169.08/25.53  | | | | | | | | | | | | | |   (7910)   ~ (all_52_6 = e0)
% 169.08/25.53  | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | | REDUCE: (546), (7905) imply:
% 169.08/25.53  | | | | | | | | | | | | | |   (7911)   ~ (all_6_2 = e0)
% 169.08/25.53  | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | | SIMP: (7911) implies:
% 169.08/25.53  | | | | | | | | | | | | | |   (7912)   ~ (all_6_2 = e0)
% 169.08/25.53  | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 169.08/25.53  | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | | Case 1:
% 169.08/25.53  | | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | | |   (7913)  all_56_4 = e0
% 169.08/25.53  | | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | | | COMBINE_EQS: (429), (7913) imply:
% 169.08/25.53  | | | | | | | | | | | | | | |   (7914)  all_52_8 = e0
% 169.08/25.53  | | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | | | COMBINE_EQS: (395), (7914) imply:
% 169.08/25.53  | | | | | | | | | | | | | | |   (7915)  all_58_24 = e0
% 169.08/25.53  | | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | | | REDUCE: (167), (7914) imply:
% 169.08/25.53  | | | | | | | | | | | | | | |   (7916)   ~ (all_52_9 = e0)
% 169.08/25.53  | | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | | | SIMP: (7916) implies:
% 169.08/25.53  | | | | | | | | | | | | | | |   (7917)   ~ (all_52_9 = e0)
% 169.08/25.53  | | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | | | REDUCE: (569), (7914) imply:
% 169.08/25.53  | | | | | | | | | | | | | | |   (7918)   ~ (all_10_2 = e0)
% 169.08/25.53  | | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (51), (154), (157),
% 169.08/25.53  | | | | | | | | | | | | | | |            (161), (189), (190), (192), (203), (236), (244),
% 169.08/25.53  | | | | | | | | | | | | | | |            (248), (267), (269), (281), (293), (295), (331),
% 169.08/25.53  | | | | | | | | | | | | | | |            (332), (335), (341), (347), (351), (356), (374),
% 169.08/25.53  | | | | | | | | | | | | | | |            (377), (389), (390), (407), (411), (431), (435),
% 169.08/25.53  | | | | | | | | | | | | | | |            (439), (441), (448), (465), (504), (530), (532),
% 169.08/25.53  | | | | | | | | | | | | | | |            (533), (535), (536), (537), (538), (539), (542),
% 169.08/25.53  | | | | | | | | | | | | | | |            (544), (548), (554), (557), (570), (572), (574),
% 169.08/25.53  | | | | | | | | | | | | | | |            (575), (577), (578), (629), (634), (767), (6417),
% 169.08/25.53  | | | | | | | | | | | | | | |            (7869), (7870), (7873), (7881), (7887), (7891),
% 169.08/25.53  | | | | | | | | | | | | | | |            (7894), (7899), (7901), (7904), (7906), (7907),
% 169.08/25.53  | | | | | | | | | | | | | | |            (7909), (7912), (7915), (7917), (function-axioms)
% 169.08/25.53  | | | | | | | | | | | | | | |            are inconsistent by sub-proof #136.
% 169.08/25.53  | | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | | Case 2:
% 169.08/25.53  | | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | | |   (7919)   ~ (all_56_4 = e0)
% 169.08/25.53  | | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | | | REDUCE: (429), (7919) imply:
% 169.08/25.53  | | | | | | | | | | | | | | |   (7920)   ~ (all_52_8 = e0)
% 169.08/25.53  | | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (41), (42), (154),
% 169.08/25.53  | | | | | | | | | | | | | | |            (156), (157), (161), (162), (167), (170), (177),
% 169.08/25.53  | | | | | | | | | | | | | | |            (178), (180), (189), (190), (192), (236), (239),
% 169.08/25.53  | | | | | | | | | | | | | | |            (241), (243), (247), (271), (272), (276), (281),
% 169.08/25.53  | | | | | | | | | | | | | | |            (282), (284), (286), (287), (290), (292), (294),
% 169.08/25.53  | | | | | | | | | | | | | | |            (331), (332), (334), (335), (347), (356), (368),
% 169.08/25.53  | | | | | | | | | | | | | | |            (374), (377), (386), (389), (390), (395), (396),
% 169.08/25.53  | | | | | | | | | | | | | | |            (407), (411), (425), (429), (431), (439), (441),
% 169.08/25.53  | | | | | | | | | | | | | | |            (446), (456), (462), (465), (531), (533), (534),
% 169.08/25.53  | | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (542), (544),
% 169.08/25.53  | | | | | | | | | | | | | | |            (548), (550), (552), (554), (555), (558), (560),
% 169.08/25.53  | | | | | | | | | | | | | | |            (564), (566), (567), (569), (574), (576), (577),
% 169.08/25.53  | | | | | | | | | | | | | | |            (578), (619), (6413), (7894), (7895), (7896),
% 169.08/25.53  | | | | | | | | | | | | | | |            (7897), (7901), (7904), (7906), (7907), (7909),
% 169.08/25.53  | | | | | | | | | | | | | | |            (7912), (7920), (function-axioms) are inconsistent
% 169.08/25.53  | | | | | | | | | | | | | | |            by sub-proof #5.
% 169.08/25.53  | | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | | End of split
% 169.08/25.53  | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | Case 2:
% 169.08/25.53  | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | |   (7921)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 169.08/25.53  | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (51), (154),
% 169.08/25.53  | | | | | | | | | | | | | |            (157), (161), (162), (164), (165), (167), (170),
% 169.08/25.53  | | | | | | | | | | | | | |            (177), (180), (183), (184), (185), (187), (189),
% 169.08/25.53  | | | | | | | | | | | | | |            (190), (192), (193), (203), (204), (208), (212),
% 169.08/25.53  | | | | | | | | | | | | | |            (234), (239), (241), (244), (245), (247), (248),
% 169.08/25.53  | | | | | | | | | | | | | |            (270), (276), (277), (278), (279), (281), (282),
% 169.08/25.53  | | | | | | | | | | | | | |            (284), (285), (286), (287), (289), (291), (293),
% 169.08/25.53  | | | | | | | | | | | | | |            (295), (330), (331), (332), (334), (335), (341),
% 169.08/25.53  | | | | | | | | | | | | | |            (347), (348), (351), (356), (368), (371), (374),
% 169.08/25.53  | | | | | | | | | | | | | |            (377), (386), (389), (390), (395), (396), (407),
% 169.08/25.53  | | | | | | | | | | | | | |            (411), (413), (425), (429), (431), (435), (439),
% 169.08/25.53  | | | | | | | | | | | | | |            (441), (446), (448), (456), (460), (462), (468),
% 169.08/25.53  | | | | | | | | | | | | | |            (532), (534), (535), (536), (537), (538), (539),
% 169.08/25.53  | | | | | | | | | | | | | |            (541), (542), (544), (546), (548), (550), (552),
% 169.08/25.53  | | | | | | | | | | | | | |            (554), (556), (558), (564), (567), (569), (572),
% 169.08/25.53  | | | | | | | | | | | | | |            (574), (576), (577), (578), (619), (625), (629),
% 169.08/25.53  | | | | | | | | | | | | | |            (630), (6417), (7870), (7891), (7895), (7896),
% 169.08/25.53  | | | | | | | | | | | | | |            (7897), (7899), (7901), (7903), (7921),
% 169.08/25.53  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 169.08/25.53  | | | | | | | | | | | | | |            #135.
% 169.08/25.53  | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | End of split
% 169.08/25.53  | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | Case 2:
% 169.08/25.53  | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | |   (7922)   ~ (all_54_13 = e0)
% 169.08/25.53  | | | | | | | | | | | | |   (7923)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 169.08/25.53  | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | REDUCE: (466), (7922) imply:
% 169.08/25.53  | | | | | | | | | | | | |   (7924)   ~ (all_52_7 = e0)
% 169.08/25.53  | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | BETA: splitting (234) gives:
% 169.08/25.53  | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | Case 1:
% 169.08/25.53  | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | |   (7925)  all_54_14 = e0
% 169.08/25.53  | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | | COMBINE_EQS: (468), (7925) imply:
% 169.08/25.53  | | | | | | | | | | | | | |   (7926)  all_52_11 = e0
% 169.08/25.53  | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | | SIMP: (7926) implies:
% 169.08/25.53  | | | | | | | | | | | | | |   (7927)  all_52_11 = e0
% 169.08/25.53  | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | | COMBINE_EQS: (347), (7927) imply:
% 169.08/25.53  | | | | | | | | | | | | | |   (7928)  all_58_27 = e0
% 169.08/25.53  | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | | REDUCE: (183), (7927) imply:
% 169.08/25.53  | | | | | | | | | | | | | |   (7929)   ~ (all_52_3 = e0)
% 169.08/25.53  | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | | REDUCE: (165), (7927) imply:
% 169.08/25.53  | | | | | | | | | | | | | |   (7930)   ~ (all_52_8 = e0)
% 169.08/25.53  | | | | | | | | | | | | | | 
% 169.08/25.53  | | | | | | | | | | | | | | REDUCE: (162), (7927) imply:
% 169.08/25.53  | | | | | | | | | | | | | |   (7931)   ~ (all_52_9 = e0)
% 169.08/25.53  | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | | REDUCE: (575), (7927) imply:
% 169.16/25.53  | | | | | | | | | | | | | |   (7932)   ~ (all_14_2 = e0)
% 169.16/25.53  | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | | REDUCE: (572), (7927) imply:
% 169.16/25.53  | | | | | | | | | | | | | |   (7933)   ~ (all_10_2 = e0)
% 169.16/25.53  | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | | REDUCE: (633), (7927) imply:
% 169.16/25.53  | | | | | | | | | | | | | |   (7934)  op(e0, e0) = all_58_14
% 169.16/25.53  | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 169.16/25.53  | | | | | | | | | | | | | |              all_58_14, e0, e0, simplifying with (61), (7934)
% 169.16/25.53  | | | | | | | | | | | | | |              gives:
% 169.16/25.53  | | | | | | | | | | | | | |   (7935)  all_58_14 = all_14_2
% 169.16/25.53  | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 169.16/25.53  | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | | Case 1:
% 169.16/25.53  | | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | | |   (7936)  all_54_12 = e0
% 169.16/25.53  | | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | | | COMBINE_EQS: (465), (7936) imply:
% 169.16/25.53  | | | | | | | | | | | | | | |   (7937)  all_52_3 = e0
% 169.16/25.53  | | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | | | REDUCE: (7929), (7937) imply:
% 169.16/25.53  | | | | | | | | | | | | | | |   (7938)  $false
% 169.16/25.53  | | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | | | CLOSE: (7938) is inconsistent.
% 169.16/25.53  | | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | | Case 2:
% 169.16/25.53  | | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | | |   (7939)   ~ (all_54_12 = e0)
% 169.16/25.53  | | | | | | | | | | | | | | |   (7940)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 169.16/25.53  | | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 169.16/25.53  | | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | | | Case 1:
% 169.16/25.53  | | | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | | | |   (7941)  all_54_3 = e0
% 169.16/25.53  | | | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (7941) imply:
% 169.16/25.53  | | | | | | | | | | | | | | | |   (7942)  all_52_12 = e0
% 169.16/25.53  | | | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | | | | SIMP: (7942) implies:
% 169.16/25.53  | | | | | | | | | | | | | | | |   (7943)  all_52_12 = e0
% 169.16/25.53  | | | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | | | | REDUCE: (157), (7943) imply:
% 169.16/25.53  | | | | | | | | | | | | | | | |   (7944)   ~ (all_52_13 = e0)
% 169.16/25.53  | | | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | | | | SIMP: (7944) implies:
% 169.16/25.53  | | | | | | | | | | | | | | | |   (7945)   ~ (all_52_13 = e0)
% 169.16/25.53  | | | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (36), (156), (157), (164),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (170), (172), (177), (178), (179), (184), (185),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (187), (188), (189), (192), (202), (203), (204),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (213), (236), (240), (245), (246), (248), (267),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (269), (270), (272), (276), (278), (279), (281),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (285), (291), (292), (293), (295), (296), (330),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (331), (333), (334), (335), (348), (351), (356),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (368), (371), (374), (386), (389), (390), (396),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (407), (411), (413), (425), (429), (431), (439),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (441), (451), (455), (460), (465), (466), (504),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (532), (533), (534), (535), (536), (537), (538),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (539), (540), (541), (542), (544), (546), (548),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (550), (552), (554), (555), (556), (557), (558),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (560), (562), (566), (567), (568), (576), (578),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (621), (622), (624), (630), (631), (5110), (7870),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (7873), (7881), (7923), (7924), (7928), (7931),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (7945), (function-axioms) are inconsistent by
% 169.16/25.53  | | | | | | | | | | | | | | | |            sub-proof #4.
% 169.16/25.53  | | | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | | | Case 2:
% 169.16/25.53  | | | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | | | |   (7946)   ~ (all_54_3 = e0)
% 169.16/25.53  | | | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | | | | REDUCE: (460), (7946) imply:
% 169.16/25.53  | | | | | | | | | | | | | | | |   (7947)   ~ (all_52_12 = e0)
% 169.16/25.53  | | | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (42), (61),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (154), (156), (157), (161), (164), (165), (167),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (183), (184), (185), (187), (188), (189), (190),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (192), (193), (202), (203), (204), (207), (208),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (211), (212), (213), (237), (240), (242), (243),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (244), (245), (246), (247), (248), (267), (270),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (273), (274), (275), (277), (278), (279), (280),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (281), (282), (284), (285), (286), (287), (288),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (289), (290), (291), (293), (294), (295), (330),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (331), (332), (333), (334), (335), (341), (347),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (348), (351), (356), (368), (371), (374), (377),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (386), (389), (390), (395), (396), (407), (411),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (413), (421), (425), (429), (431), (435), (439),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (441), (446), (448), (451), (453), (455), (460),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (463), (465), (521), (530), (531), (532), (533),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (534), (535), (536), (537), (538), (539), (540),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (541), (542), (544), (546), (548), (550), (552),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (554), (555), (556), (557), (558), (560), (562),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (564), (566), (567), (568), (569), (570), (574),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (576), (577), (578), (619), (621), (624), (626),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (628), (630), (631), (633), (634), (684), (713),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (5109), (5110), (6411), (6416), (6417), (7876),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (7880), (7881), (7882), (7887), (7891), (7928),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (7929), (7930), (7931), (7940), (7947),
% 169.16/25.53  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 169.16/25.53  | | | | | | | | | | | | | | | |            #3.
% 169.16/25.53  | | | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | | | End of split
% 169.16/25.53  | | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | | End of split
% 169.16/25.53  | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | Case 2:
% 169.16/25.53  | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | |   (7948)   ~ (all_54_14 = e0)
% 169.16/25.53  | | | | | | | | | | | | | |   (7949)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 169.16/25.53  | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | | REDUCE: (468), (7948) imply:
% 169.16/25.53  | | | | | | | | | | | | | |   (7950)   ~ (all_52_11 = e0)
% 169.16/25.53  | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (42), (154),
% 169.16/25.53  | | | | | | | | | | | | | |            (156), (157), (161), (162), (164), (165), (167),
% 169.16/25.53  | | | | | | | | | | | | | |            (169), (170), (172), (177), (178), (179), (180),
% 169.16/25.53  | | | | | | | | | | | | | |            (183), (184), (185), (187), (189), (190), (192),
% 169.16/25.53  | | | | | | | | | | | | | |            (193), (202), (207), (211), (234), (235), (240),
% 169.16/25.53  | | | | | | | | | | | | | |            (241), (243), (244), (247), (248), (267), (270),
% 169.16/25.53  | | | | | | | | | | | | | |            (274), (277), (278), (281), (282), (285), (288),
% 169.16/25.53  | | | | | | | | | | | | | |            (291), (292), (293), (294), (295), (331), (332),
% 169.16/25.53  | | | | | | | | | | | | | |            (333), (334), (341), (347), (348), (351), (356),
% 169.16/25.53  | | | | | | | | | | | | | |            (368), (374), (377), (386), (389), (390), (395),
% 169.16/25.53  | | | | | | | | | | | | | |            (396), (407), (411), (413), (425), (429), (431),
% 169.16/25.53  | | | | | | | | | | | | | |            (435), (439), (441), (446), (448), (455), (462),
% 169.16/25.53  | | | | | | | | | | | | | |            (466), (468), (521), (531), (532), (533), (534),
% 169.16/25.53  | | | | | | | | | | | | | |            (535), (536), (537), (538), (539), (540), (541),
% 169.16/25.53  | | | | | | | | | | | | | |            (542), (544), (546), (548), (550), (552), (554),
% 169.16/25.53  | | | | | | | | | | | | | |            (555), (556), (557), (558), (560), (562), (564),
% 169.16/25.53  | | | | | | | | | | | | | |            (566), (567), (568), (569), (572), (574), (575),
% 169.16/25.53  | | | | | | | | | | | | | |            (576), (577), (578), (624), (684), (5110), (6411),
% 169.16/25.53  | | | | | | | | | | | | | |            (6416), (6417), (7880), (7881), (7891), (7924),
% 169.16/25.53  | | | | | | | | | | | | | |            (7949), (7950), (function-axioms) are inconsistent
% 169.16/25.53  | | | | | | | | | | | | | |            by sub-proof #2.
% 169.16/25.53  | | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | | End of split
% 169.16/25.53  | | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | | End of split
% 169.16/25.53  | | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | | End of split
% 169.16/25.53  | | | | | | | | | | | 
% 169.16/25.53  | | | | | | | | | | End of split
% 169.16/25.54  | | | | | | | | | | 
% 169.16/25.54  | | | | | | | | | End of split
% 169.16/25.54  | | | | | | | | | 
% 169.16/25.54  | | | | | | | | End of split
% 169.16/25.54  | | | | | | | | 
% 169.16/25.54  | | | | | | | End of split
% 169.16/25.54  | | | | | | | 
% 169.16/25.54  | | | | | | End of split
% 169.16/25.54  | | | | | | 
% 169.16/25.54  | | | | | End of split
% 169.16/25.54  | | | | | 
% 169.16/25.54  | | | | Case 2:
% 169.16/25.54  | | | | | 
% 169.16/25.54  | | | | |   (7951)  all_10_2 = e0
% 169.16/25.54  | | | | | 
% 169.16/25.54  | | | | | COMBINE_EQS: (534), (7951) imply:
% 169.16/25.54  | | | | |   (7952)  all_56_8 = e0
% 169.16/25.54  | | | | | 
% 169.16/25.54  | | | | | COMBINE_EQS: (539), (7951) imply:
% 169.16/25.54  | | | | |   (7953)  all_58_26 = e0
% 169.16/25.54  | | | | | 
% 169.16/25.54  | | | | | REDUCE: (567), (7951) imply:
% 169.16/25.54  | | | | |   (7954)   ~ (all_52_6 = e0)
% 169.16/25.54  | | | | | 
% 169.16/25.54  | | | | | REDUCE: (569), (7951) imply:
% 169.16/25.54  | | | | |   (7955)   ~ (all_52_8 = e0)
% 169.16/25.54  | | | | | 
% 169.16/25.54  | | | | | REDUCE: (570), (7951) imply:
% 169.16/25.54  | | | | |   (7956)   ~ (all_52_9 = e0)
% 169.16/25.54  | | | | | 
% 169.16/25.54  | | | | | REDUCE: (572), (7951) imply:
% 169.16/25.54  | | | | |   (7957)   ~ (all_52_11 = e0)
% 169.16/25.54  | | | | | 
% 169.16/25.54  | | | | | REDUCE: (574), (7951) imply:
% 169.16/25.54  | | | | |   (7958)   ~ (all_52_14 = e0)
% 169.16/25.54  | | | | | 
% 169.16/25.54  | | | | | REDUCE: (53), (7951) imply:
% 169.16/25.54  | | | | |   (7959)  op(all_10_1, e0) = all_10_0
% 169.16/25.54  | | | | | 
% 169.16/25.54  | | | | | REDUCE: (52), (7951) imply:
% 169.16/25.54  | | | | |   (7960)  op(e0, e1) = all_10_1
% 169.16/25.54  | | | | | 
% 169.16/25.54  | | | | | REDUCE: (629), (7951) imply:
% 169.16/25.54  | | | | |   (7961)  op(e1, e0) = all_58_10
% 169.16/25.54  | | | | | 
% 169.16/25.54  | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11, all_10_1,
% 169.16/25.54  | | | | |              e1, e0, simplifying with (201), (7960) gives:
% 169.16/25.54  | | | | |   (7962)  all_52_11 = all_10_1
% 169.16/25.54  | | | | | 
% 169.16/25.54  | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 169.16/25.54  | | | | |              all_58_10, e0, e1, simplifying with (204), (7961) gives:
% 169.16/25.54  | | | | |   (7963)  all_58_10 = all_52_14
% 169.16/25.54  | | | | | 
% 169.16/25.54  | | | | | COMBINE_EQS: (468), (7962) imply:
% 169.16/25.54  | | | | |   (7964)  all_54_14 = all_10_1
% 169.16/25.54  | | | | | 
% 169.16/25.54  | | | | | COMBINE_EQS: (435), (7962) imply:
% 169.16/25.54  | | | | |   (7965)  all_56_14 = all_10_1
% 169.16/25.54  | | | | | 
% 169.16/25.54  | | | | | COMBINE_EQS: (347), (7962) imply:
% 169.16/25.54  | | | | |   (7966)  all_58_27 = all_10_1
% 169.16/25.54  | | | | | 
% 169.16/25.54  | | | | | REDUCE: (183), (7962) imply:
% 169.16/25.54  | | | | |   (7967)   ~ (all_52_3 = all_10_1)
% 169.16/25.54  | | | | | 
% 169.16/25.54  | | | | | REDUCE: (169), (7962) imply:
% 169.16/25.54  | | | | |   (7968)   ~ (all_52_7 = all_10_1)
% 169.16/25.54  | | | | | 
% 169.16/25.54  | | | | | REDUCE: (165), (7962) imply:
% 169.16/25.54  | | | | |   (7969)   ~ (all_52_8 = all_10_1)
% 169.16/25.54  | | | | | 
% 169.16/25.54  | | | | | REDUCE: (162), (7962) imply:
% 169.16/25.54  | | | | |   (7970)   ~ (all_52_9 = all_10_1)
% 169.16/25.54  | | | | | 
% 169.16/25.54  | | | | | REDUCE: (575), (7962) imply:
% 169.16/25.54  | | | | |   (7971)   ~ (all_14_2 = all_10_1)
% 169.16/25.54  | | | | | 
% 169.16/25.54  | | | | | SIMP: (7971) implies:
% 169.16/25.54  | | | | |   (7972)   ~ (all_14_2 = all_10_1)
% 169.16/25.54  | | | | | 
% 169.16/25.54  | | | | | REDUCE: (7957), (7962) imply:
% 169.16/25.54  | | | | |   (7973)   ~ (all_10_1 = e0)
% 169.16/25.54  | | | | | 
% 169.16/25.54  | | | | | REDUCE: (633), (7962) imply:
% 169.16/25.54  | | | | |   (7974)  op(e0, all_10_1) = all_58_14
% 169.16/25.54  | | | | | 
% 169.16/25.54  | | | | | BETA: splitting (64) gives:
% 169.16/25.54  | | | | | 
% 169.16/25.54  | | | | | Case 1:
% 169.16/25.54  | | | | | | 
% 169.16/25.54  | | | | | |   (7975)   ~ (all_14_0 = e1)
% 169.16/25.54  | | | | | | 
% 169.16/25.54  | | | | | | BETA: splitting (136) gives:
% 169.16/25.54  | | | | | | 
% 169.16/25.54  | | | | | | Case 1:
% 169.16/25.54  | | | | | | | 
% 169.16/25.54  | | | | | | |   (7976)   ~ (all_44_1 = e0)
% 169.16/25.54  | | | | | | | 
% 169.16/25.54  | | | | | | | REDUCE: (5108), (7976) imply:
% 169.16/25.54  | | | | | | |   (7977)  $false
% 169.16/25.54  | | | | | | | 
% 169.16/25.54  | | | | | | | CLOSE: (7977) is inconsistent.
% 169.16/25.54  | | | | | | | 
% 169.16/25.54  | | | | | | Case 2:
% 169.16/25.54  | | | | | | | 
% 169.16/25.54  | | | | | | |   (7978)   ~ (all_44_0 = e1) |  ~ (all_44_2 = e3)
% 169.16/25.54  | | | | | | | 
% 169.16/25.54  | | | | | | | BETA: splitting (266) gives:
% 169.16/25.54  | | | | | | | 
% 169.16/25.54  | | | | | | | Case 1:
% 169.16/25.54  | | | | | | | | 
% 169.16/25.54  | | | | | | | |   (7979)  all_56_15 = e0
% 169.16/25.54  | | | | | | | | 
% 169.16/25.54  | | | | | | | | COMBINE_EQS: (533), (7979) imply:
% 169.16/25.54  | | | | | | | |   (7980)  all_14_2 = e0
% 169.16/25.54  | | | | | | | | 
% 169.16/25.54  | | | | | | | | SIMP: (7980) implies:
% 169.16/25.54  | | | | | | | |   (7981)  all_14_2 = e0
% 169.16/25.54  | | | | | | | | 
% 169.16/25.54  | | | | | | | | REDUCE: (568), (7981) imply:
% 169.16/25.54  | | | | | | | |   (7982)   ~ (all_52_7 = e0)
% 169.16/25.54  | | | | | | | | 
% 169.16/25.54  | | | | | | | | REDUCE: (577), (7981) imply:
% 169.16/25.54  | | | | | | | |   (7983)   ~ (all_52_13 = e0)
% 169.16/25.54  | | | | | | | | 
% 169.16/25.54  | | | | | | | | REDUCE: (7972), (7981) imply:
% 169.16/25.54  | | | | | | | |   (7984)   ~ (all_10_1 = e0)
% 169.16/25.54  | | | | | | | | 
% 169.16/25.54  | | | | | | | | REDUCE: (63), (7981) imply:
% 169.16/25.54  | | | | | | | |   (7985)  op(all_14_1, e0) = all_14_0
% 169.16/25.54  | | | | | | | | 
% 169.16/25.54  | | | | | | | | REDUCE: (62), (7981) imply:
% 169.16/25.54  | | | | | | | |   (7986)  op(e0, e0) = all_14_1
% 169.16/25.54  | | | | | | | | 
% 169.16/25.54  | | | | | | | | REDUCE: (634), (7981) imply:
% 169.16/25.54  | | | | | | | |   (7987)  op(e0, e0) = all_58_15
% 169.16/25.54  | | | | | | | | 
% 169.16/25.54  | | | | | | | | REDUCE: (61), (7981) imply:
% 169.16/25.54  | | | | | | | |   (7988)  op(e0, e0) = e0
% 169.16/25.54  | | | | | | | | 
% 169.16/25.54  | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (41), (51), (52),
% 169.16/25.54  | | | | | | | |            (161), (164), (167), (178), (179), (180), (187),
% 169.16/25.54  | | | | | | | |            (188), (189), (190), (192), (202), (203), (236),
% 169.16/25.54  | | | | | | | |            (241), (243), (248), (267), (274), (280), (281),
% 169.16/25.54  | | | | | | | |            (282), (285), (291), (292), (294), (295), (330),
% 169.16/25.54  | | | | | | | |            (332), (333), (335), (348), (351), (368), (371),
% 169.16/25.54  | | | | | | | |            (377), (386), (389), (390), (395), (396), (407),
% 169.16/25.54  | | | | | | | |            (411), (413), (421), (425), (429), (431), (439),
% 169.16/25.54  | | | | | | | |            (462), (465), (531), (532), (535), (536), (539),
% 169.16/25.54  | | | | | | | |            (540), (541), (542), (546), (548), (550), (555),
% 169.16/25.54  | | | | | | | |            (558), (560), (562), (564), (566), (619), (624),
% 169.16/25.54  | | | | | | | |            (629), (713), (5109), (5110), (7952), (7953), (7954),
% 169.16/25.54  | | | | | | | |            (7956), (7965), (7966), (7967), (7969), (7973),
% 169.16/25.54  | | | | | | | |            (7974), (7975), (7978), (7982), (7983), (7985),
% 169.16/25.54  | | | | | | | |            (7986), (7987), (7988), (function-axioms) are
% 169.16/25.54  | | | | | | | |            inconsistent by sub-proof #46.
% 169.16/25.54  | | | | | | | | 
% 169.16/25.54  | | | | | | | Case 2:
% 169.16/25.54  | | | | | | | | 
% 169.16/25.54  | | | | | | | |   (7989)   ~ (all_56_15 = e0)
% 169.16/25.54  | | | | | | | |   (7990)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 169.16/25.54  | | | | | | | |           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0)
% 169.16/25.54  | | | | | | | | 
% 169.16/25.54  | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (42), (61),
% 169.16/25.54  | | | | | | | |            (145), (154), (156), (157), (161), (164), (167),
% 169.16/25.54  | | | | | | | |            (170), (172), (177), (178), (179), (180), (184),
% 169.16/25.54  | | | | | | | |            (185), (187), (188), (189), (190), (192), (193),
% 169.16/25.54  | | | | | | | |            (202), (203), (204), (208), (211), (212), (233),
% 169.16/25.54  | | | | | | | |            (234), (235), (236), (239), (241), (242), (244),
% 169.16/25.54  | | | | | | | |            (245), (247), (267), (268), (269), (270), (271),
% 169.16/25.54  | | | | | | | |            (272), (274), (275), (276), (278), (279), (280),
% 169.16/25.54  | | | | | | | |            (281), (283), (284), (285), (286), (287), (288),
% 169.16/25.54  | | | | | | | |            (289), (290), (291), (292), (293), (294), (295),
% 169.16/25.54  | | | | | | | |            (330), (331), (332), (333), (334), (335), (341),
% 169.16/25.54  | | | | | | | |            (348), (351), (356), (368), (371), (374), (377),
% 169.16/25.54  | | | | | | | |            (386), (389), (390), (395), (396), (407), (411),
% 169.16/25.54  | | | | | | | |            (413), (425), (429), (431), (439), (441), (446),
% 169.16/25.54  | | | | | | | |            (448), (453), (456), (460), (462), (465), (466),
% 169.16/25.54  | | | | | | | |            (478), (533), (535), (536), (537), (538), (540),
% 169.16/25.54  | | | | | | | |            (541), (542), (544), (546), (548), (550), (552),
% 169.16/25.54  | | | | | | | |            (554), (555), (557), (558), (560), (562), (564),
% 169.16/25.54  | | | | | | | |            (566), (568), (576), (577), (578), (620), (622),
% 169.16/25.54  | | | | | | | |            (623), (624), (626), (631), (632), (5110), (6411),
% 169.16/25.54  | | | | | | | |            (7952), (7953), (7954), (7955), (7956), (7958),
% 169.16/25.54  | | | | | | | |            (7959), (7963), (7964), (7965), (7966), (7967),
% 169.16/25.54  | | | | | | | |            (7968), (7969), (7970), (7972), (7973), (7989),
% 169.16/25.54  | | | | | | | |            (7990), (function-axioms) are inconsistent by
% 169.16/25.54  | | | | | | | |            sub-proof #1.
% 169.16/25.54  | | | | | | | | 
% 169.16/25.54  | | | | | | | End of split
% 169.16/25.54  | | | | | | | 
% 169.16/25.54  | | | | | | End of split
% 169.16/25.54  | | | | | | 
% 169.16/25.54  | | | | | Case 2:
% 169.16/25.54  | | | | | | 
% 169.16/25.54  | | | | | |   (7991)  all_14_0 = e1
% 169.16/25.54  | | | | | | 
% 169.16/25.54  | | | | | | REDUCE: (63), (7991) imply:
% 169.16/25.54  | | | | | |   (7992)  op(all_14_1, all_14_2) = e1
% 169.16/25.54  | | | | | | 
% 169.16/25.54  | | | | | | BETA: splitting (266) gives:
% 169.16/25.54  | | | | | | 
% 169.16/25.54  | | | | | | Case 1:
% 169.16/25.54  | | | | | | | 
% 169.16/25.54  | | | | | | |   (7993)  all_56_15 = e0
% 169.16/25.54  | | | | | | | 
% 169.16/25.54  | | | | | | | REF_CLOSE: (4), (61), (62), (533), (634), (7992), (7993),
% 169.16/25.54  | | | | | | |            (function-axioms) are inconsistent by sub-proof #400.
% 169.16/25.54  | | | | | | | 
% 169.16/25.54  | | | | | | Case 2:
% 169.16/25.54  | | | | | | | 
% 169.16/25.54  | | | | | | |   (7994)   ~ (all_56_15 = e0)
% 169.16/25.54  | | | | | | |   (7995)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 169.16/25.54  | | | | | | |           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0)
% 169.16/25.54  | | | | | | | 
% 169.16/25.54  | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (42), (61), (145),
% 169.16/25.54  | | | | | | |            (154), (156), (157), (161), (164), (167), (170), (172),
% 169.16/25.54  | | | | | | |            (177), (178), (179), (180), (184), (185), (187), (188),
% 169.16/25.54  | | | | | | |            (189), (190), (192), (193), (202), (203), (204), (208),
% 169.16/25.54  | | | | | | |            (211), (212), (233), (234), (235), (236), (239), (241),
% 169.16/25.54  | | | | | | |            (242), (244), (245), (247), (267), (268), (269), (270),
% 169.16/25.54  | | | | | | |            (271), (272), (274), (275), (276), (278), (279), (280),
% 169.16/25.54  | | | | | | |            (281), (283), (284), (285), (286), (287), (288), (289),
% 169.16/25.54  | | | | | | |            (290), (291), (292), (293), (294), (295), (330), (331),
% 169.16/25.54  | | | | | | |            (332), (333), (334), (335), (341), (348), (351), (356),
% 169.16/25.54  | | | | | | |            (368), (371), (374), (377), (386), (389), (390), (395),
% 169.16/25.54  | | | | | | |            (396), (407), (411), (413), (425), (429), (431), (439),
% 169.16/25.54  | | | | | | |            (441), (446), (448), (453), (456), (460), (462), (465),
% 169.16/25.54  | | | | | | |            (466), (478), (533), (535), (536), (537), (538), (540),
% 169.16/25.54  | | | | | | |            (541), (542), (544), (546), (548), (550), (552), (554),
% 169.16/25.54  | | | | | | |            (555), (557), (558), (560), (562), (564), (566), (568),
% 169.16/25.54  | | | | | | |            (576), (577), (578), (620), (622), (623), (624), (626),
% 169.16/25.54  | | | | | | |            (631), (632), (5110), (6411), (7952), (7953), (7954),
% 169.16/25.54  | | | | | | |            (7955), (7956), (7958), (7959), (7963), (7964), (7965),
% 169.16/25.54  | | | | | | |            (7966), (7967), (7968), (7969), (7970), (7972), (7973),
% 169.16/25.54  | | | | | | |            (7994), (7995), (function-axioms) are inconsistent by
% 169.16/25.54  | | | | | | |            sub-proof #1.
% 169.16/25.54  | | | | | | | 
% 169.16/25.54  | | | | | | End of split
% 169.16/25.54  | | | | | | 
% 169.16/25.54  | | | | | End of split
% 169.16/25.54  | | | | | 
% 169.16/25.54  | | | | End of split
% 169.16/25.54  | | | | 
% 169.16/25.54  | | | End of split
% 169.16/25.54  | | | 
% 169.16/25.54  | | End of split
% 169.16/25.54  | | 
% 169.16/25.54  | End of split
% 169.16/25.54  | 
% 169.16/25.54  End of proof
% 169.16/25.54  
% 169.16/25.54  Sub-proof #1 shows that the following formulas are inconsistent:
% 169.16/25.54  ----------------------------------------------------------------
% 169.16/25.54    (1)   ~ (all_52_12 = all_14_2)
% 169.16/25.54    (2)  op(e0, e0) = all_14_2
% 169.16/25.54    (3)  all_56_1 = all_52_4
% 169.16/25.54    (4)  op(all_4_2, e2) = e0
% 169.16/25.54    (5)  all_56_12 = all_52_3
% 169.16/25.54    (6)  op(e3, all_52_12) = all_58_3
% 169.16/25.54    (7)   ~ (all_52_8 = all_52_12)
% 169.16/25.54    (8)   ~ (e3 = e1)
% 169.16/25.54    (9)  all_58_23 = all_52_7
% 169.16/25.54    (10)   ~ (all_52_2 = all_6_2)
% 169.16/25.54    (11)   ~ (all_52_3 = all_14_2)
% 169.16/25.54    (12)   ~ (all_52_4 = all_4_2)
% 169.16/25.54    (13)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 169.16/25.54    (14)  all_54_3 = all_52_12
% 169.16/25.54    (15)  all_56_5 = all_52_9
% 169.16/25.54    (16)  all_58_10 = all_52_14
% 169.16/25.54    (17)  op(all_6_2, e3) = all_6_1
% 169.16/25.54    (18)   ~ (all_52_12 = all_6_2)
% 169.16/25.54    (19)  op(e2, e0) = all_52_13
% 169.16/25.54    (20)   ~ (all_52_6 = all_4_2)
% 169.16/25.54    (21)  op(e1, e0) = all_52_14
% 169.16/25.54    (22)  all_56_15 = all_14_2
% 169.16/25.54    (23)  op(e0, e2) = all_52_7
% 169.16/25.54    (24)  op(e3, all_52_4) = all_58_1
% 169.16/25.54    (25)  all_54_1 = all_52_4
% 169.16/25.54    (26)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 169.16/25.54    (27)   ~ (all_52_9 = all_4_2)
% 169.16/25.54    (28)   ~ (all_52_3 = all_52_7)
% 169.16/25.54    (29)  all_54_6 = all_52_9
% 169.16/25.54    (30)   ~ (all_52_7 = all_10_1)
% 169.16/25.54    (31)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 169.16/25.54    (32)   ~ (all_52_13 = all_4_2)
% 169.16/25.54    (33)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 169.16/25.54    (34)  op(e0, all_52_3) = all_58_12
% 169.16/25.54    (35)  all_48_2 = all_14_2
% 169.16/25.54    (36)  op(e2, all_52_1) = all_58_4
% 169.16/25.54    (37)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 169.16/25.54    (38)   ~ (all_52_9 = e0)
% 169.16/25.54    (39)   ~ (all_52_4 = all_52_6)
% 169.16/25.54    (40)  all_58_31 = all_14_2
% 169.16/25.54    (41)   ~ (all_52_9 = all_52_13)
% 169.16/25.54    (42)   ~ (all_52_3 = all_6_2)
% 169.16/25.54    (43)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 169.16/25.54    (44)   ~ (all_52_1 = all_6_2)
% 169.16/25.54    (45)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) & (all_56_12 = e0 |
% 169.16/25.54            all_56_13 = e0 | all_56_14 = e0)
% 169.16/25.54    (46)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 169.16/25.54    (47)  all_56_11 = all_52_14
% 169.16/25.54    (48)   ~ (all_56_15 = e0)
% 169.16/25.54    (49)   ~ (all_52_6 = all_52_7)
% 169.16/25.54    (50)  all_56_2 = e2 | all_56_3 = e2 | all_56_5 = e2 | all_56_10 = e2
% 169.16/25.54    (51)  all_56_0 = all_6_2
% 169.16/25.54    (52)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 169.16/25.54    (53)  all_58_30 = all_52_14
% 169.16/25.54    (54)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 169.16/25.54    (55)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 169.16/25.54    (56)  all_58_17 = all_52_1
% 169.16/25.54    (57)  op(e2, all_4_2) = all_58_5
% 169.16/25.54    (58)  all_56_14 = all_10_1
% 169.16/25.54    (59)  all_58_19 = all_52_3
% 169.16/25.54    (60)  all_56_9 = all_52_12
% 169.16/25.54    (61)   ~ (all_52_2 = all_52_6)
% 169.16/25.54    (62)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 169.16/25.54    (63)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 169.16/25.54    (64)  op(e2, e2) = all_4_2
% 169.16/25.54    (65)   ~ (e3 = e2)
% 169.16/25.54    (66)   ~ (all_52_4 = all_52_7)
% 169.16/25.54    (67)   ~ (e2 = e1)
% 169.16/25.54    (68)  all_58_26 = e0
% 169.16/25.54    (69)  all_56_8 = e0
% 169.16/25.54    (70)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 169.16/25.54    (71)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 169.16/25.54    (72)   ~ (all_52_7 = all_14_2)
% 169.16/25.54    (73)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 169.16/25.54    (74)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 169.16/25.54    (75)   ~ (all_52_13 = all_14_2)
% 169.16/25.54    (76)   ~ (all_52_1 = all_4_2)
% 169.16/25.54    (77)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.16/25.54    (78)  all_54_14 = all_10_1
% 169.16/25.54    (79)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 169.16/25.54    (80)  all_54_9 = all_52_6
% 169.16/25.54    (81)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 169.16/25.54    (82)   ~ (all_52_13 = all_52_14)
% 169.16/25.54    (83)  op(e2, e3) = all_52_1
% 169.16/25.54    (84)   ~ (all_48_0 = e3) |  ~ (all_48_1 = e2) |  ~ (all_48_2 = e1)
% 169.16/25.54    (85)  all_58_18 = all_52_2
% 169.16/25.54    (86)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 169.16/25.54    (87)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 169.16/25.54    (88)  all_58_16 = all_6_2
% 169.16/25.54    (89)  all_56_13 = all_52_7
% 169.16/25.54    (90)  op(e0, e3) = all_52_3
% 169.16/25.54    (91)  op(e0, all_52_7) = all_58_13
% 169.16/25.54    (92)   ~ (all_52_8 = all_52_9)
% 169.16/25.54    (93)   ~ (all_52_4 = all_6_2)
% 169.16/25.54    (94)  all_56_2 = all_52_1
% 169.16/25.54    (95)   ~ (all_52_8 = all_10_1)
% 169.16/25.54    (96)   ~ (e3 = e0)
% 169.16/25.54    (97)  op(e3, e0) = all_52_12
% 169.16/25.54    (98)  all_58_29 = all_52_13
% 169.16/25.54    (99)   ~ (all_52_1 = all_52_2)
% 169.16/25.54    (100)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 169.16/25.54    (101)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 169.16/25.54    (102)  op(all_10_1, e0) = all_10_0
% 169.16/25.54    (103)   ~ (all_52_6 = all_52_14)
% 169.16/25.54    (104)   ~ (all_52_7 = all_4_2)
% 169.16/25.54    (105)  all_56_4 = all_52_8
% 169.16/25.54    (106)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.16/25.54    (107)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 169.16/25.54    (108)   ~ (all_52_9 = all_10_1)
% 169.16/25.54    (109)   ~ (all_52_1 = all_52_13)
% 169.16/25.54    (110)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 169.16/25.54    (111)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 169.16/25.54    (112)  all_58_20 = all_52_4
% 169.16/25.54    (113)  all_54_13 = all_52_7
% 169.16/25.54    (114)  all_54_15 = all_14_2
% 169.16/25.54    (115)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 169.16/25.54    (116)   ~ (all_14_2 = all_10_1)
% 169.16/25.54    (117)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 169.16/25.54    (118)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 169.16/25.54    (119)   ~ (all_52_8 = all_6_2)
% 169.16/25.55    (120)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 169.16/25.55    (121)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 169.16/25.55    (122)  all_56_6 = all_52_2
% 169.16/25.55    (123)   ~ (all_52_1 = all_52_9)
% 169.16/25.55    (124)  all_58_24 = all_52_8
% 169.16/25.55    (125)   ~ (all_52_12 = all_52_14)
% 169.16/25.55    (126)  all_58_22 = all_52_6
% 169.16/25.55    (127)   ~ (all_52_4 = all_52_12)
% 169.16/25.55    (128)  all_56_3 = all_4_2
% 169.16/25.55    (129)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 169.16/25.55    (130)  all_58_27 = all_10_1
% 169.16/25.55    (131)   ~ (all_52_2 = all_52_3)
% 169.16/25.55    (132)   ~ (all_52_4 = all_52_8)
% 169.16/25.55    (133)   ~ (all_52_14 = all_14_2)
% 169.16/25.55    (134)  all_58_25 = all_52_9
% 169.16/25.55    (135)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 169.16/25.55    (136)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.16/25.55             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.16/25.55    (137)   ~ (all_52_6 = e0)
% 169.16/25.55    (138)  all_54_12 = all_52_3
% 169.16/25.55    (139)   ~ (all_52_2 = all_52_14)
% 169.16/25.55    (140)  all_58_21 = all_4_2
% 169.16/25.55    (141)  all_56_10 = all_52_13
% 169.16/25.55    (142)   ~ (e2 = e0)
% 169.16/25.55    (143)   ~ (all_52_1 = all_52_3)
% 169.16/25.55    (144)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 169.16/25.55    (145)   ~ (all_52_3 = all_10_1)
% 169.16/25.55    (146)   ~ (all_52_14 = e0)
% 169.16/25.55    (147)  all_58_28 = all_52_12
% 169.16/25.55    (148)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 169.16/25.55    (149)   ~ (e1 = e0)
% 169.16/25.55    (150)  all_54_4 = all_52_1
% 169.16/25.55    (151)  all_56_7 = all_52_6
% 169.16/25.55    (152)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 169.16/25.55             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 169.16/25.55             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 169.16/25.55             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 169.16/25.55             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 169.16/25.55             (all_58_15 = e0))
% 169.16/25.55    (153)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 169.16/25.55    (154)   ~ (all_52_8 = e0)
% 169.16/25.55    (155)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 169.16/25.55    (156)  op(e2, all_52_13) = all_58_7
% 169.16/25.55    (157)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 169.16/25.55    (158)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 169.16/25.55           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 169.16/25.55           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 169.16/25.55           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 169.16/25.55           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 169.16/25.55           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 169.16/25.55           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 169.16/25.55           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 169.16/25.55           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 169.16/25.55           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 169.16/25.55             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 169.16/25.55             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 169.16/25.55             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 169.16/25.55             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 169.16/25.55             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 169.16/25.55             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 169.16/25.55             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 169.16/25.55             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 169.16/25.55             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 169.16/25.55             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 169.16/25.55             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 169.16/25.55             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 169.16/25.55             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 169.16/25.55             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 169.16/25.55             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 169.16/25.55             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 169.16/25.55           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 169.16/25.55           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 169.16/25.55           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 169.16/25.55             all_58_30 = e0 & e1 = e0)
% 169.16/25.55    (159)  all_54_7 = all_52_13
% 169.16/25.55    (160)   ~ (all_10_1 = e0)
% 169.16/25.55    (161)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 169.16/25.55    (162)   ~ (all_52_12 = all_52_13)
% 169.16/25.55  
% 169.16/25.55  Begin of proof
% 169.16/25.55  | 
% 169.16/25.55  | ALPHA: (45) implies:
% 169.16/25.55  |   (163)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 169.16/25.55  |   (164)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 169.16/25.55  | 
% 169.16/25.55  | REDUCE: (22), (48) imply:
% 169.16/25.55  |   (165)   ~ (all_14_2 = e0)
% 169.16/25.55  | 
% 169.16/25.55  | BETA: splitting (70) gives:
% 169.16/25.55  | 
% 169.16/25.55  | Case 1:
% 169.16/25.55  | | 
% 169.16/25.55  | |   (166)  all_54_15 = e0
% 169.16/25.55  | | 
% 169.16/25.55  | | COMBINE_EQS: (114), (166) imply:
% 169.16/25.55  | |   (167)  all_14_2 = e0
% 169.16/25.55  | | 
% 169.16/25.55  | | REDUCE: (165), (167) imply:
% 169.16/25.55  | |   (168)  $false
% 169.16/25.55  | | 
% 169.16/25.55  | | CLOSE: (168) is inconsistent.
% 169.16/25.55  | | 
% 169.16/25.55  | Case 2:
% 169.16/25.55  | | 
% 169.16/25.55  | |   (169)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 169.16/25.55  | | 
% 169.16/25.55  | | BETA: splitting (74) gives:
% 169.16/25.55  | | 
% 169.16/25.55  | | Case 1:
% 169.16/25.55  | | | 
% 169.16/25.55  | | |   (170)  all_54_7 = e0
% 169.16/25.55  | | | 
% 169.16/25.55  | | | COMBINE_EQS: (159), (170) imply:
% 169.16/25.55  | | |   (171)  all_52_13 = e0
% 169.16/25.55  | | | 
% 169.16/25.55  | | | COMBINE_EQS: (141), (171) imply:
% 169.16/25.55  | | |   (172)  all_56_10 = e0
% 169.16/25.55  | | | 
% 169.16/25.55  | | | COMBINE_EQS: (98), (171) imply:
% 169.16/25.55  | | |   (173)  all_58_29 = e0
% 169.16/25.55  | | | 
% 169.16/25.55  | | | REDUCE: (162), (171) imply:
% 169.16/25.55  | | |   (174)   ~ (all_52_12 = e0)
% 169.16/25.55  | | | 
% 169.16/25.55  | | | REDUCE: (82), (171) imply:
% 169.16/25.55  | | |   (175)   ~ (all_52_14 = e0)
% 169.16/25.55  | | | 
% 169.16/25.55  | | | REDUCE: (32), (171) imply:
% 169.16/25.55  | | |   (176)   ~ (all_4_2 = e0)
% 169.16/25.55  | | | 
% 169.16/25.55  | | | SIMP: (176) implies:
% 169.16/25.55  | | |   (177)   ~ (all_4_2 = e0)
% 169.16/25.55  | | | 
% 169.16/25.55  | | | REDUCE: (156), (171) imply:
% 169.16/25.55  | | |   (178)  op(e2, e0) = all_58_7
% 169.16/25.55  | | | 
% 169.16/25.55  | | | REDUCE: (19), (171) imply:
% 169.16/25.55  | | |   (179)  op(e2, e0) = e0
% 169.16/25.55  | | | 
% 169.16/25.55  | | | GROUND_INST: instantiating (136) with e0, all_58_7, e0, e2, simplifying
% 169.16/25.55  | | |              with (178), (179) gives:
% 169.16/25.55  | | |   (180)  all_58_7 = e0
% 169.16/25.55  | | | 
% 169.16/25.55  | | | BETA: splitting (115) gives:
% 169.16/25.55  | | | 
% 169.16/25.55  | | | Case 1:
% 169.16/25.55  | | | | 
% 169.16/25.55  | | | |   (181)  all_56_0 = e0
% 169.16/25.55  | | | | 
% 169.16/25.55  | | | | COMBINE_EQS: (51), (181) imply:
% 169.16/25.55  | | | |   (182)  all_6_2 = e0
% 169.16/25.55  | | | | 
% 169.16/25.55  | | | | REF_CLOSE: (1), (3), (5), (7), (8), (10), (12), (13), (15), (17), (20),
% 169.16/25.55  | | | |            (21), (22), (25), (27), (28), (29), (30), (31), (32), (33),
% 169.16/25.55  | | | |            (35), (37), (38), (39), (40), (41), (44), (47), (49), (51),
% 169.16/25.55  | | | |            (52), (53), (55), (56), (58), (59), (60), (61), (62), (65),
% 169.16/25.55  | | | |            (66), (67), (68), (70), (73), (75), (76), (77), (78), (79),
% 169.16/25.55  | | | |            (80), (81), (82), (84), (85), (87), (88), (89), (90), (92),
% 169.16/25.55  | | | |            (93), (94), (95), (96), (98), (99), (100), (101), (102),
% 169.16/25.55  | | | |            (103), (105), (106), (107), (108), (109), (110), (111),
% 169.16/25.55  | | | |            (112), (114), (116), (119), (120), (122), (123), (124),
% 169.16/25.55  | | | |            (125), (126), (128), (129), (130), (131), (132), (133),
% 169.16/25.55  | | | |            (134), (135), (136), (137), (138), (139), (140), (141),
% 169.16/25.55  | | | |            (142), (143), (145), (147), (148), (149), (150), (151),
% 169.16/25.55  | | | |            (155), (157), (158), (162), (177), (182) are inconsistent by
% 169.16/25.55  | | | |            sub-proof #240.
% 169.16/25.55  | | | | 
% 169.16/25.55  | | | Case 2:
% 169.16/25.55  | | | | 
% 169.16/25.55  | | | |   (183)   ~ (all_56_0 = e0)
% 169.16/25.55  | | | | 
% 169.16/25.55  | | | | REDUCE: (51), (183) imply:
% 169.16/25.55  | | | |   (184)   ~ (all_6_2 = e0)
% 169.16/25.55  | | | | 
% 169.16/25.55  | | | | BETA: splitting (121) gives:
% 169.16/25.55  | | | | 
% 169.16/25.55  | | | | Case 1:
% 169.16/25.55  | | | | | 
% 169.16/25.55  | | | | |   (185)  all_56_0 = e0
% 169.16/25.55  | | | | | 
% 169.16/25.55  | | | | | COMBINE_EQS: (51), (185) imply:
% 169.16/25.55  | | | | |   (186)  all_6_2 = e0
% 169.16/25.55  | | | | | 
% 169.16/25.55  | | | | | REDUCE: (184), (186) imply:
% 169.16/25.55  | | | | |   (187)  $false
% 169.16/25.55  | | | | | 
% 169.16/25.55  | | | | | CLOSE: (187) is inconsistent.
% 169.16/25.55  | | | | | 
% 169.16/25.55  | | | | Case 2:
% 169.16/25.55  | | | | | 
% 169.16/25.55  | | | | |   (188)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 169.16/25.55  | | | | | 
% 169.16/25.55  | | | | | BETA: splitting (188) gives:
% 169.16/25.55  | | | | | 
% 169.16/25.55  | | | | | Case 1:
% 169.16/25.55  | | | | | | 
% 169.16/25.55  | | | | | |   (189)  all_56_1 = e0
% 169.16/25.55  | | | | | | 
% 169.16/25.55  | | | | | | COMBINE_EQS: (3), (189) imply:
% 169.16/25.55  | | | | | |   (190)  all_52_4 = e0
% 169.16/25.55  | | | | | | 
% 169.16/25.55  | | | | | | COMBINE_EQS: (112), (190) imply:
% 169.16/25.55  | | | | | |   (191)  all_58_20 = e0
% 169.16/25.55  | | | | | | 
% 169.16/25.55  | | | | | | REDUCE: (66), (190) imply:
% 169.16/25.55  | | | | | |   (192)   ~ (all_52_7 = e0)
% 169.16/25.55  | | | | | | 
% 169.16/25.55  | | | | | | SIMP: (192) implies:
% 169.16/25.55  | | | | | |   (193)   ~ (all_52_7 = e0)
% 169.16/25.55  | | | | | | 
% 169.16/25.55  | | | | | | REDUCE: (132), (190) imply:
% 169.16/25.55  | | | | | |   (194)   ~ (all_52_8 = e0)
% 169.16/25.55  | | | | | | 
% 169.16/25.55  | | | | | | REDUCE: (127), (190) imply:
% 169.16/25.55  | | | | | |   (195)   ~ (all_52_12 = e0)
% 169.16/25.55  | | | | | | 
% 169.16/25.55  | | | | | | REDUCE: (24), (190) imply:
% 169.16/25.55  | | | | | |   (196)  op(e3, e0) = all_58_1
% 169.16/25.55  | | | | | | 
% 169.16/25.55  | | | | | | BETA: splitting (163) gives:
% 169.16/25.55  | | | | | | 
% 169.16/25.55  | | | | | | Case 1:
% 169.16/25.55  | | | | | | | 
% 169.16/25.55  | | | | | | |   (197)  all_56_12 = e0
% 169.16/25.55  | | | | | | | 
% 169.16/25.55  | | | | | | | COMBINE_EQS: (5), (197) imply:
% 169.16/25.55  | | | | | | |   (198)  all_52_3 = e0
% 169.16/25.55  | | | | | | | 
% 169.16/25.55  | | | | | | | SIMP: (198) implies:
% 169.16/25.55  | | | | | | |   (199)  all_52_3 = e0
% 169.16/25.55  | | | | | | | 
% 169.16/25.55  | | | | | | | REDUCE: (143), (199) imply:
% 169.16/25.55  | | | | | | |   (200)   ~ (all_52_1 = e0)
% 169.16/25.55  | | | | | | | 
% 169.16/25.55  | | | | | | | REDUCE: (131), (199) imply:
% 169.16/25.55  | | | | | | |   (201)   ~ (all_52_2 = e0)
% 169.16/25.55  | | | | | | | 
% 169.16/25.55  | | | | | | | REDUCE: (11), (199) imply:
% 169.16/25.55  | | | | | | |   (202)   ~ (all_14_2 = e0)
% 169.16/25.55  | | | | | | | 
% 169.16/25.55  | | | | | | | REDUCE: (145), (199) imply:
% 169.16/25.55  | | | | | | |   (203)   ~ (all_10_1 = e0)
% 169.16/25.55  | | | | | | | 
% 169.16/25.55  | | | | | | | REDUCE: (42), (199) imply:
% 169.16/25.55  | | | | | | |   (204)   ~ (all_6_2 = e0)
% 169.16/25.55  | | | | | | | 
% 169.16/25.55  | | | | | | | REDUCE: (34), (199) imply:
% 169.16/25.55  | | | | | | |   (205)  op(e0, e0) = all_58_12
% 169.16/25.55  | | | | | | | 
% 169.16/25.55  | | | | | | | GROUND_INST: instantiating (136) with all_14_2, all_58_12, e0, e0,
% 169.16/25.55  | | | | | | |              simplifying with (2), (205) gives:
% 169.16/25.55  | | | | | | |   (206)  all_58_12 = all_14_2
% 169.16/25.55  | | | | | | | 
% 169.16/25.55  | | | | | | | GROUND_INST: instantiating (136) with all_52_12, all_58_1, e0, e3,
% 169.16/25.55  | | | | | | |              simplifying with (97), (196) gives:
% 169.16/25.55  | | | | | | |   (207)  all_58_1 = all_52_12
% 169.16/25.55  | | | | | | | 
% 169.16/25.55  | | | | | | | BETA: splitting (26) gives:
% 169.16/25.55  | | | | | | | 
% 169.16/25.55  | | | | | | | Case 1:
% 169.16/25.55  | | | | | | | | 
% 169.16/25.55  | | | | | | | |   (208)  all_54_3 = e0
% 169.16/25.55  | | | | | | | | 
% 169.16/25.55  | | | | | | | | REF_CLOSE: (14), (174), (208) are inconsistent by sub-proof
% 169.16/25.55  | | | | | | | |            #898.
% 169.16/25.55  | | | | | | | | 
% 169.16/25.55  | | | | | | | Case 2:
% 169.16/25.55  | | | | | | | | 
% 169.16/25.55  | | | | | | | |   (209)   ~ (all_54_3 = e0)
% 169.16/25.55  | | | | | | | |   (210)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 169.16/25.55  | | | | | | | | 
% 169.16/25.55  | | | | | | | | BETA: splitting (144) gives:
% 169.16/25.55  | | | | | | | | 
% 169.16/25.55  | | | | | | | | Case 1:
% 169.16/25.55  | | | | | | | | | 
% 169.16/25.55  | | | | | | | | |   (211)  all_54_13 = e0
% 169.16/25.55  | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | COMBINE_EQS: (113), (211) imply:
% 169.16/25.55  | | | | | | | | |   (212)  all_52_7 = e0
% 169.16/25.55  | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | REDUCE: (193), (212) imply:
% 169.16/25.55  | | | | | | | | |   (213)  $false
% 169.16/25.55  | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | CLOSE: (213) is inconsistent.
% 169.16/25.55  | | | | | | | | | 
% 169.16/25.55  | | | | | | | | Case 2:
% 169.16/25.55  | | | | | | | | | 
% 169.16/25.55  | | | | | | | | |   (214)   ~ (all_54_13 = e0)
% 169.16/25.55  | | | | | | | | |   (215)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 169.16/25.55  | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | BETA: splitting (52) gives:
% 169.16/25.55  | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | Case 1:
% 169.16/25.55  | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | |   (216)  all_58_27 = e0
% 169.16/25.55  | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | COMBINE_EQS: (130), (216) imply:
% 169.16/25.55  | | | | | | | | | |   (217)  all_10_1 = e0
% 169.16/25.55  | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | REDUCE: (160), (217) imply:
% 169.16/25.55  | | | | | | | | | |   (218)  $false
% 169.16/25.55  | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | CLOSE: (218) is inconsistent.
% 169.16/25.55  | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | Case 2:
% 169.16/25.55  | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | |   (219)   ~ (all_58_27 = e0)
% 169.16/25.55  | | | | | | | | | |   (220)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 169.16/25.55  | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | BETA: splitting (117) gives:
% 169.16/25.55  | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | Case 1:
% 169.16/25.55  | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | |   (221)  all_58_23 = e0
% 169.16/25.55  | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | COMBINE_EQS: (9), (221) imply:
% 169.16/25.55  | | | | | | | | | | |   (222)  all_52_7 = e0
% 169.16/25.55  | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | REDUCE: (193), (222) imply:
% 169.16/25.55  | | | | | | | | | | |   (223)  $false
% 169.16/25.55  | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | CLOSE: (223) is inconsistent.
% 169.16/25.55  | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | Case 2:
% 169.16/25.55  | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | |   (224)   ~ (all_58_23 = e0)
% 169.16/25.55  | | | | | | | | | | |   (225)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 169.16/25.55  | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | BETA: splitting (37) gives:
% 169.16/25.55  | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | Case 1:
% 169.16/25.55  | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | |   (226)  all_58_31 = e0
% 169.16/25.55  | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | COMBINE_EQS: (40), (226) imply:
% 169.16/25.55  | | | | | | | | | | | |   (227)  all_14_2 = e0
% 169.16/25.55  | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | REDUCE: (165), (227) imply:
% 169.16/25.55  | | | | | | | | | | | |   (228)  $false
% 169.16/25.55  | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | CLOSE: (228) is inconsistent.
% 169.16/25.55  | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | Case 2:
% 169.16/25.55  | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | |   (229)   ~ (all_58_31 = e0)
% 169.16/25.55  | | | | | | | | | | | |   (230)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 169.16/25.55  | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | BETA: splitting (50) gives:
% 169.16/25.55  | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | Case 1:
% 169.16/25.55  | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | |   (231)  all_56_2 = e2
% 169.16/25.55  | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | COMBINE_EQS: (94), (231) imply:
% 169.16/25.55  | | | | | | | | | | | | |   (232)  all_52_1 = e2
% 169.16/25.55  | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | REDUCE: (123), (232) imply:
% 169.16/25.55  | | | | | | | | | | | | |   (233)   ~ (all_52_9 = e2)
% 169.16/25.55  | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | SIMP: (233) implies:
% 169.16/25.55  | | | | | | | | | | | | |   (234)   ~ (all_52_9 = e2)
% 169.16/25.55  | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (10), (14), (15), (16), (18), (22),
% 169.16/25.55  | | | | | | | | | | | | |            (26), (27), (37), (40), (43), (44), (46), (47),
% 169.16/25.55  | | | | | | | | | | | | |            (49), (51), (52), (53), (55), (58), (60), (65),
% 169.16/25.55  | | | | | | | | | | | | |            (67), (68), (69), (76), (81), (86), (89), (94),
% 169.16/25.55  | | | | | | | | | | | | |            (95), (101), (103), (104), (105), (107), (113),
% 169.16/25.55  | | | | | | | | | | | | |            (114), (116), (117), (119), (122), (124), (125),
% 169.16/25.55  | | | | | | | | | | | | |            (126), (130), (133), (134), (140), (142), (146),
% 169.16/25.55  | | | | | | | | | | | | |            (147), (149), (151), (152), (154), (160), (165),
% 169.16/25.55  | | | | | | | | | | | | |            (169), (172), (173), (174), (177), (180), (184),
% 169.16/25.55  | | | | | | | | | | | | |            (191), (193), (197), (206), (207), (215), (220),
% 169.16/25.55  | | | | | | | | | | | | |            (230), (234) are inconsistent by sub-proof #41.
% 169.16/25.55  | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | Case 2:
% 169.16/25.55  | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | |   (235)   ~ (all_56_2 = e2)
% 169.16/25.55  | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | REDUCE: (94), (235) imply:
% 169.16/25.55  | | | | | | | | | | | | |   (236)   ~ (all_52_1 = e2)
% 169.16/25.55  | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | BETA: splitting (86) gives:
% 169.16/25.55  | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | Case 1:
% 169.16/25.55  | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | |   (237)  all_56_0 = e2
% 169.16/25.55  | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | COMBINE_EQS: (51), (237) imply:
% 169.16/25.55  | | | | | | | | | | | | | |   (238)  all_6_2 = e2
% 169.16/25.55  | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | REDUCE: (10), (238) imply:
% 169.16/25.55  | | | | | | | | | | | | | |   (239)   ~ (all_52_2 = e2)
% 169.16/25.55  | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | REDUCE: (17), (238) imply:
% 169.16/25.55  | | | | | | | | | | | | | |   (240)  op(e2, e3) = all_6_1
% 169.16/25.55  | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | BETA: splitting (63) gives:
% 169.16/25.55  | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | Case 1:
% 169.16/25.55  | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | |   (241)   ~ (all_6_1 = e1)
% 169.16/25.55  | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | GROUND_INST: instantiating (136) with all_52_1, all_6_1, e3,
% 169.16/25.55  | | | | | | | | | | | | | | |              e2, simplifying with (83), (240) gives:
% 169.16/25.55  | | | | | | | | | | | | | | |   (242)  all_52_1 = all_6_1
% 169.16/25.55  | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | COMBINE_EQS: (94), (242) imply:
% 169.16/25.55  | | | | | | | | | | | | | | |   (243)  all_56_2 = all_6_1
% 169.16/25.55  | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | BETA: splitting (77) gives:
% 169.16/25.55  | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | Case 1:
% 169.16/25.55  | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | |   (244)  all_56_0 = e1
% 169.16/25.55  | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | REF_CLOSE: (67), (86), (94), (122), (142), (197), (236),
% 169.16/25.55  | | | | | | | | | | | | | | | |            (239), (244) are inconsistent by sub-proof #731.
% 169.16/25.55  | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | Case 2:
% 169.16/25.55  | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | |   (245)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.16/25.55  | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 169.16/25.55  | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.55  | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | |   (246)  all_56_2 = e1
% 169.16/25.55  | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | COMBINE_EQS: (243), (246) imply:
% 169.16/25.55  | | | | | | | | | | | | | | | | |   (247)  all_6_1 = e1
% 169.16/25.55  | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | REDUCE: (241), (247) imply:
% 169.16/25.55  | | | | | | | | | | | | | | | | |   (248)  $false
% 169.16/25.55  | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | CLOSE: (248) is inconsistent.
% 169.16/25.55  | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.55  | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | |   (249)  all_56_6 = e1 | all_56_12 = e1
% 169.16/25.55  | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (57), (61), (64), (96), (122), (126), (136),
% 169.16/25.55  | | | | | | | | | | | | | | | | |            (140), (149), (177), (191), (197), (225), (249)
% 169.16/25.55  | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #42.
% 169.16/25.55  | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | End of split
% 169.16/25.55  | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | End of split
% 169.16/25.55  | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | Case 2:
% 169.16/25.55  | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | |   (250)   ~ (all_6_2 = e2)
% 169.16/25.55  | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | REDUCE: (238), (250) imply:
% 169.16/25.55  | | | | | | | | | | | | | | |   (251)  $false
% 169.16/25.55  | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | CLOSE: (251) is inconsistent.
% 169.16/25.55  | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | End of split
% 169.16/25.55  | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | Case 2:
% 169.16/25.55  | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | |   (252)  all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 169.16/25.55  | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 169.16/25.55  | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | Case 1:
% 169.16/25.55  | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | |   (253)  all_56_2 = e2
% 169.16/25.55  | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | COMBINE_EQS: (94), (253) imply:
% 169.16/25.55  | | | | | | | | | | | | | | |   (254)  all_52_1 = e2
% 169.16/25.55  | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | REDUCE: (236), (254) imply:
% 169.16/25.55  | | | | | | | | | | | | | | |   (255)  $false
% 169.16/25.55  | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | CLOSE: (255) is inconsistent.
% 169.16/25.55  | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | Case 2:
% 169.16/25.55  | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | |   (256)  all_56_6 = e2 | all_56_12 = e2
% 169.16/25.55  | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 169.16/25.55  | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | Case 1:
% 169.16/25.55  | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | |   (257)  all_56_6 = e2
% 169.16/25.55  | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | COMBINE_EQS: (122), (257) imply:
% 169.16/25.55  | | | | | | | | | | | | | | | |   (258)  all_52_2 = e2
% 169.16/25.55  | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | REDUCE: (139), (258) imply:
% 169.16/25.55  | | | | | | | | | | | | | | | |   (259)   ~ (all_52_14 = e2)
% 169.16/25.55  | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | SIMP: (259) implies:
% 169.16/25.55  | | | | | | | | | | | | | | | |   (260)   ~ (all_52_14 = e2)
% 169.16/25.55  | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | REDUCE: (10), (258) imply:
% 169.16/25.55  | | | | | | | | | | | | | | | |   (261)   ~ (all_6_2 = e2)
% 169.16/25.55  | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | SIMP: (261) implies:
% 169.16/25.55  | | | | | | | | | | | | | | | |   (262)   ~ (all_6_2 = e2)
% 169.16/25.55  | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 169.16/25.55  | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.55  | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | |   (263)  all_56_0 = e2
% 169.16/25.55  | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | COMBINE_EQS: (51), (263) imply:
% 169.16/25.55  | | | | | | | | | | | | | | | | |   (264)  all_6_2 = e2
% 169.16/25.55  | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | REDUCE: (262), (264) imply:
% 169.16/25.55  | | | | | | | | | | | | | | | | |   (265)  $false
% 169.16/25.55  | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | CLOSE: (265) is inconsistent.
% 169.16/25.55  | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.55  | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | |   (266)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 169.16/25.55  | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | BETA: splitting (266) gives:
% 169.16/25.55  | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.55  | | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | |   (267)  all_56_1 = e2
% 169.16/25.55  | | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | | REF_CLOSE: (142), (189), (267) are inconsistent by sub-proof
% 169.16/25.55  | | | | | | | | | | | | | | | | | |            #950.
% 169.16/25.55  | | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.55  | | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | |   (268)   ~ (all_56_1 = e2)
% 169.16/25.55  | | | | | | | | | | | | | | | | | |   (269)  all_56_4 = e2 | all_56_9 = e2
% 169.16/25.55  | | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | | REDUCE: (189), (268) imply:
% 169.16/25.55  | | | | | | | | | | | | | | | | | |   (270)   ~ (e2 = e0)
% 169.16/25.55  | | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 169.16/25.55  | | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | | |   (271)  all_56_4 = e2
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (65), (68), (92), (105), (124), (134), (149),
% 169.16/25.55  | | | | | | | | | | | | | | | | | | |            (220), (271) are inconsistent by sub-proof #418.
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | | |   (272)  all_56_9 = e2
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (60), (272) imply:
% 169.16/25.55  | | | | | | | | | | | | | | | | | | |   (273)  all_52_12 = e2
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | SIMP: (273) implies:
% 169.16/25.55  | | | | | | | | | | | | | | | | | | |   (274)  all_52_12 = e2
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (147), (274) imply:
% 169.16/25.55  | | | | | | | | | | | | | | | | | | |   (275)  all_58_28 = e2
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | |   (276)  all_58_30 = e1
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (53), (276) imply:
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | |   (277)  all_52_14 = e1
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (277) imply:
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | |   (278)   ~ (all_14_2 = e1)
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | | SIMP: (278) implies:
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | |   (279)   ~ (all_14_2 = e1)
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | | REDUCE: (260), (277) imply:
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | |   (280)   ~ (e2 = e1)
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (10), (14), (15), (16), (18), (22),
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | |            (27), (37), (40), (43), (44), (46), (47), (49),
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | |            (51), (52), (53), (55), (58), (60), (65), (67),
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | |            (68), (69), (76), (81), (86), (89), (94), (95),
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | |            (96), (101), (103), (104), (105), (107), (113),
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | |            (114), (116), (117), (119), (122), (124), (125),
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | |            (126), (130), (133), (134), (140), (142), (146),
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | |            (147), (149), (151), (152), (154), (160), (165),
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | |            (169), (172), (173), (177), (180), (184), (191),
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | |            (193), (197), (206), (207), (210), (215), (279)
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #320.
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | |   (281)  all_58_28 = e3 | all_58_29 = e2
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | | BETA: splitting (54) gives:
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | | |   (282)  all_56_6 = e1
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (282) imply:
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | | |   (283)  e2 = e1
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (283) imply:
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | | |   (284)  all_58_28 = e1
% 169.16/25.55  | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (142), (173), (281), (284) are inconsistent
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | |   (285)   ~ (all_56_6 = e1)
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | |   (286)  all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (81) gives:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | |   (287)  all_56_9 = e1
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (65), (67), (68), (92), (105), (124), (134),
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | |            (142), (149), (189), (220), (266), (287) are
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #416.
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | |   (288)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (288) gives:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | |   (289)  all_56_10 = e1
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (172), (289) imply:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | |   (290)  e1 = e0
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (290) imply:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | |   (291)  $false
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (291) is inconsistent.
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | |   (292)  all_56_11 = e1 | all_56_15 = e1
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (286) gives:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | |   (293)  all_56_7 = e1
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (151), (293) imply:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | |   (294)  all_52_6 = e1
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (294) implies:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | |   (295)  all_52_6 = e1
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (103), (295) imply:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | |   (296)   ~ (all_52_14 = e1)
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (296) implies:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | |   (297)   ~ (all_52_14 = e1)
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (43) gives:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  all_56_6 = e3
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (65), (142), (197), (256), (298) are inconsistent
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #791.
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (299)   ~ (all_56_6 = e3)
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (257), (299) imply:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (301)   ~ (e3 = e2)
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  all_56_11 = e1
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (297), (302) are inconsistent by sub-proof
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | |            #854.
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  all_56_15 = e1
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22), (303) imply:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  all_14_2 = e1
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (304) implies:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  all_14_2 = e1
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (71) gives:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)  all_56_9 = e3
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (306) imply:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  e3 = e2
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (307) imply:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  $false
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (308) is inconsistent.
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  all_56_10 = e3
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (172), (310) imply:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  e3 = e0
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (96), (311) imply:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  $false
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (312) is inconsistent.
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  all_56_11 = e3 | all_56_15 = e3
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  all_56_11 = e3
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (47), (314) imply:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  all_52_14 = e3
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (315) implies:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  all_52_14 = e3
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  all_58_29 = e2
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (142), (173), (317) are inconsistent by sub-proof
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #889.
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  all_58_28 = e3
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (318) imply:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  e3 = e2
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (319) implies:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  e3 = e2
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (314), (320) imply:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  all_56_11 = e2
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (65), (69), (96), (293), (300), (321) are
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #288.
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  all_56_15 = e3
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (303), (322) imply:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  e3 = e1
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (323) imply:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  $false
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (324) is inconsistent.
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | |   (325)   ~ (all_56_7 = e1)
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (325) imply:
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | |   (326)   ~ (all_52_6 = e1)
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (57), (64), (96), (126), (136), (140), (177),
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | |            (191), (225), (326) are inconsistent by sub-proof
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | |            #122.
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.56  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.56  | | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | | End of split
% 169.16/25.56  | | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | End of split
% 169.16/25.56  | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | Case 2:
% 169.16/25.56  | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | |   (327)  all_56_12 = e2
% 169.16/25.56  | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | COMBINE_EQS: (197), (327) imply:
% 169.16/25.56  | | | | | | | | | | | | | | | |   (328)  e2 = e0
% 169.16/25.56  | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | REDUCE: (142), (328) imply:
% 169.16/25.56  | | | | | | | | | | | | | | | |   (329)  $false
% 169.16/25.56  | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | | CLOSE: (329) is inconsistent.
% 169.16/25.56  | | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | | End of split
% 169.16/25.56  | | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | | End of split
% 169.16/25.56  | | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | | End of split
% 169.16/25.56  | | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | | End of split
% 169.16/25.56  | | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | | End of split
% 169.16/25.56  | | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | | End of split
% 169.16/25.56  | | | | | | | | | | 
% 169.16/25.56  | | | | | | | | | End of split
% 169.16/25.56  | | | | | | | | | 
% 169.16/25.56  | | | | | | | | End of split
% 169.16/25.56  | | | | | | | | 
% 169.16/25.56  | | | | | | | End of split
% 169.16/25.56  | | | | | | | 
% 169.16/25.56  | | | | | | Case 2:
% 169.16/25.56  | | | | | | | 
% 169.16/25.56  | | | | | | |   (330)  all_56_13 = e0 | all_56_14 = e0
% 169.16/25.56  | | | | | | | 
% 169.16/25.56  | | | | | | | REF_CLOSE: (58), (89), (160), (193), (330) are inconsistent by
% 169.16/25.56  | | | | | | |            sub-proof #316.
% 169.16/25.56  | | | | | | | 
% 169.16/25.56  | | | | | | End of split
% 169.16/25.56  | | | | | | 
% 169.16/25.56  | | | | | Case 2:
% 169.16/25.56  | | | | | | 
% 169.16/25.56  | | | | | |   (331)  all_56_4 = e0 | all_56_9 = e0
% 169.16/25.56  | | | | | | 
% 169.16/25.56  | | | | | | REF_CLOSE: (60), (105), (154), (174), (331) are inconsistent by
% 169.16/25.56  | | | | | |            sub-proof #563.
% 169.16/25.56  | | | | | | 
% 169.16/25.56  | | | | | End of split
% 169.16/25.56  | | | | | 
% 169.16/25.56  | | | | End of split
% 169.16/25.56  | | | | 
% 169.16/25.56  | | | End of split
% 169.16/25.56  | | | 
% 169.16/25.56  | | Case 2:
% 169.16/25.56  | | | 
% 169.16/25.56  | | |   (332)   ~ (all_54_7 = e0)
% 169.16/25.56  | | | 
% 169.16/25.56  | | | REDUCE: (159), (332) imply:
% 169.16/25.56  | | |   (333)   ~ (all_52_13 = e0)
% 169.16/25.56  | | | 
% 169.16/25.56  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13), (15),
% 169.16/25.56  | | |            (16), (18), (19), (20), (21), (22), (23), (25), (27), (28),
% 169.16/25.56  | | |            (29), (30), (31), (32), (36), (37), (38), (39), (40), (41),
% 169.16/25.56  | | |            (42), (43), (47), (49), (51), (52), (53), (54), (56), (58),
% 169.16/25.56  | | |            (59), (60), (61), (65), (66), (67), (68), (69), (71), (72),
% 169.16/25.56  | | |            (73), (75), (76), (77), (79), (80), (81), (82), (85), (87),
% 169.16/25.56  | | |            (88), (89), (91), (92), (94), (95), (96), (97), (98), (99),
% 169.16/25.56  | | |            (102), (104), (105), (106), (107), (108), (109), (110), (112),
% 169.16/25.56  | | |            (116), (118), (119), (122), (123), (124), (125), (127), (128),
% 169.16/25.56  | | |            (129), (130), (131), (132), (133), (134), (135), (136), (137),
% 169.16/25.56  | | |            (139), (140), (141), (142), (145), (146), (147), (148), (149),
% 169.16/25.56  | | |            (151), (152), (153), (155), (157), (158), (161), (162), (164),
% 169.16/25.56  | | |            (333) are inconsistent by sub-proof #40.
% 169.16/25.56  | | | 
% 169.16/25.56  | | End of split
% 169.16/25.56  | | 
% 169.16/25.56  | End of split
% 169.16/25.56  | 
% 169.16/25.56  End of proof
% 169.16/25.56  
% 169.16/25.56  Sub-proof #2 shows that the following formulas are inconsistent:
% 169.16/25.56  ----------------------------------------------------------------
% 169.16/25.56    (1)   ~ (all_52_12 = all_14_2)
% 169.16/25.56    (2)  all_54_8 = all_52_2
% 169.16/25.56    (3)  all_56_1 = all_52_4
% 169.16/25.56    (4)  op(all_4_2, e2) = e0
% 169.16/25.56    (5)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 169.16/25.56    (6)  all_56_12 = all_52_3
% 169.16/25.56    (7)  op(e1, e3) = all_52_2
% 169.16/25.56    (8)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 169.16/25.56    (9)   ~ (all_10_2 = e0)
% 169.16/25.56    (10)   ~ (all_52_8 = all_52_12)
% 169.16/25.56    (11)   ~ (e3 = e1)
% 169.16/25.56    (12)  all_58_23 = all_52_7
% 169.16/25.56    (13)   ~ (all_52_2 = all_6_2)
% 169.16/25.56    (14)  all_8_2 = all_6_2
% 169.16/25.56    (15)   ~ (all_52_3 = all_14_2)
% 169.16/25.56    (16)   ~ (all_52_4 = all_4_2)
% 169.16/25.56    (17)  all_56_5 = all_52_9
% 169.16/25.56    (18)   ~ (all_52_3 = all_52_11)
% 169.16/25.56    (19)  op(all_6_2, e3) = all_6_1
% 169.16/25.56    (20)   ~ (all_52_12 = all_6_2)
% 169.16/25.56    (21)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 169.16/25.56    (22)   ~ (all_52_6 = all_4_2)
% 169.16/25.56    (23)  all_56_15 = all_14_2
% 169.16/25.56    (24)   ~ (all_52_11 = all_14_2)
% 169.16/25.56    (25)  op(e0, e2) = all_52_7
% 169.16/25.56    (26)  all_54_1 = all_52_4
% 169.16/25.56    (27)   ~ (all_52_9 = all_4_2)
% 169.16/25.56    (28)   ~ (all_52_3 = all_52_7)
% 169.16/25.56    (29)  all_56_14 = all_52_11
% 169.16/25.56    (30)   ~ (all_52_13 = all_4_2)
% 169.16/25.56    (31)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 169.16/25.56    (32)  all_56_8 = all_10_2
% 169.16/25.56    (33)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 169.16/25.56    (34)  all_58_26 = all_10_2
% 169.16/25.56    (35)   ~ (all_52_4 = all_52_6)
% 169.16/25.56    (36)  all_58_31 = all_14_2
% 169.16/25.56    (37)   ~ (all_52_11 = all_10_2)
% 169.16/25.56    (38)   ~ (all_52_9 = all_52_13)
% 169.16/25.56    (39)   ~ (all_52_3 = all_6_2)
% 169.16/25.56    (40)   ~ (all_52_1 = all_6_2)
% 169.16/25.56    (41)  all_56_11 = all_52_14
% 169.16/25.56    (42)   ~ (all_52_6 = all_52_7)
% 169.16/25.56    (43)  all_56_0 = all_6_2
% 169.16/25.56    (44)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 169.16/25.56    (45)  all_58_30 = all_52_14
% 169.16/25.56    (46)  all_58_27 = all_52_11
% 169.16/25.56    (47)  all_54_14 = all_52_11
% 169.16/25.56    (48)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 169.16/25.56    (49)  all_58_17 = all_52_1
% 169.16/25.56    (50)  op(e2, all_4_2) = all_58_5
% 169.16/25.56    (51)  all_58_19 = all_52_3
% 169.16/25.56    (52)  all_56_9 = all_52_12
% 169.16/25.56    (53)   ~ (all_52_2 = all_52_6)
% 169.16/25.56    (54)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 169.16/25.56    (55)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 169.16/25.56    (56)  op(e2, e2) = all_4_2
% 169.16/25.56    (57)   ~ (e3 = e2)
% 169.16/25.56    (58)   ~ (all_52_4 = all_52_7)
% 169.16/25.56    (59)   ~ (e2 = e1)
% 169.16/25.56    (60)   ~ (all_52_6 = all_10_2)
% 169.16/25.56    (61)   ~ (all_52_7 = all_14_2)
% 169.16/25.56    (62)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 169.16/25.56    (63)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 169.16/25.56    (64)   ~ (all_52_13 = all_14_2)
% 169.16/25.56    (65)   ~ (all_52_1 = all_4_2)
% 169.16/25.56    (66)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.16/25.56    (67)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 169.16/25.56    (68)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 169.16/25.56    (69)   ~ (all_52_13 = all_52_14)
% 169.16/25.56    (70)  op(e2, e3) = all_52_1
% 169.16/25.56    (71)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 169.16/25.56    (72)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 169.16/25.56    (73)  all_58_16 = all_6_2
% 169.16/25.56    (74)  all_56_13 = all_52_7
% 169.16/25.56    (75)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 169.16/25.56    (76)   ~ (all_52_8 = all_52_9)
% 169.16/25.56    (77)   ~ (all_52_4 = all_6_2)
% 169.16/25.56    (78)  all_56_2 = all_52_1
% 169.16/25.56    (79)   ~ (e3 = e0)
% 169.16/25.56    (80)  all_58_29 = all_52_13
% 169.16/25.56    (81)   ~ (all_52_1 = all_52_2)
% 169.16/25.56    (82)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 169.16/25.56    (83)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 169.16/25.56    (84)   ~ (all_52_6 = all_52_14)
% 169.16/25.56    (85)   ~ (all_52_7 = all_4_2)
% 169.16/25.56    (86)   ~ (all_52_8 = all_10_2)
% 169.16/25.56    (87)  all_56_4 = all_52_8
% 169.16/25.56    (88)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.16/25.56    (89)   ~ (all_52_1 = all_52_13)
% 169.16/25.56    (90)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 169.16/25.56    (91)  all_58_20 = all_52_4
% 169.16/25.56    (92)  all_54_13 = all_52_7
% 169.16/25.56    (93)  all_54_15 = all_14_2
% 169.16/25.56    (94)   ~ (all_52_7 = all_52_11)
% 169.16/25.56    (95)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 169.16/25.56    (96)   ~ (all_52_8 = all_52_11)
% 169.16/25.56    (97)   ~ (all_52_8 = all_6_2)
% 169.16/25.56    (98)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 169.16/25.56    (99)  all_56_6 = all_52_2
% 169.16/25.56    (100)   ~ (all_52_1 = all_52_9)
% 169.16/25.56    (101)   ~ (all_52_7 = e0)
% 169.16/25.56    (102)  all_58_24 = all_52_8
% 169.16/25.56    (103)   ~ (all_52_12 = all_52_14)
% 169.16/25.56    (104)   ~ (all_52_9 = all_52_11)
% 169.16/25.56    (105)  all_58_22 = all_52_6
% 169.16/25.56    (106)   ~ (all_52_4 = all_52_12)
% 169.16/25.56    (107)  all_56_3 = all_4_2
% 169.16/25.56    (108)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 169.16/25.56    (109)  all_54_0 = all_6_2
% 169.16/25.56    (110)   ~ (all_52_14 = all_10_2)
% 169.16/25.56    (111)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 169.16/25.56    (112)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 169.16/25.56    (113)   ~ (all_52_11 = e0)
% 169.16/25.56    (114)   ~ (all_52_4 = all_52_8)
% 169.16/25.56    (115)   ~ (all_52_14 = all_14_2)
% 169.16/25.56    (116)  all_58_25 = all_52_9
% 169.16/25.56    (117)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.16/25.56             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.16/25.56    (118)   ~ (all_52_2 = all_52_14)
% 169.16/25.56    (119)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 169.16/25.56    (120)  all_58_21 = all_4_2
% 169.16/25.56    (121)  all_56_10 = all_52_13
% 169.16/25.56    (122)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 169.16/25.56    (123)   ~ (e2 = e0)
% 169.16/25.56    (124)   ~ (all_52_1 = all_52_3)
% 169.16/25.56    (125)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 169.16/25.56    (126)  all_8_1 = all_6_1
% 169.16/25.56    (127)  all_58_28 = all_52_12
% 169.16/25.56    (128)   ~ (e1 = e0)
% 169.16/25.56    (129)  all_54_4 = all_52_1
% 169.16/25.56    (130)  all_56_7 = all_52_6
% 169.16/25.56    (131)  all_54_5 = all_4_2
% 169.16/25.56    (132)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 169.16/25.56    (133)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 169.16/25.56    (134)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 169.16/25.56           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 169.16/25.56           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 169.16/25.56           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 169.16/25.56           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 169.16/25.56           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 169.16/25.56           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 169.16/25.56           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 169.16/25.56           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 169.16/25.56           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 169.16/25.56             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 169.16/25.56             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 169.16/25.56             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 169.16/25.56             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 169.16/25.56             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 169.16/25.56             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 169.16/25.56             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 169.16/25.56             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 169.16/25.56             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 169.16/25.56             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 169.16/25.56             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 169.16/25.56             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 169.16/25.56             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 169.16/25.56             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 169.16/25.56             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 169.16/25.56             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 169.16/25.56           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 169.16/25.56           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 169.16/25.56           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 169.16/25.56             all_58_30 = e0 & e1 = e0)
% 169.16/25.56    (135)  all_54_7 = all_52_13
% 169.16/25.56    (136)   ~ (all_52_2 = all_10_2)
% 169.16/25.56    (137)   ~ (all_52_12 = all_52_13)
% 169.16/25.56  
% 169.16/25.56  Begin of proof
% 169.16/25.56  | 
% 169.16/25.56  | BETA: splitting (5) gives:
% 169.16/25.56  | 
% 169.16/25.56  | Case 1:
% 169.16/25.56  | | 
% 169.16/25.56  | |   (138)  all_56_12 = e0
% 169.16/25.56  | | 
% 169.16/25.56  | | COMBINE_EQS: (6), (138) imply:
% 169.16/25.56  | |   (139)  all_52_3 = e0
% 169.16/25.56  | | 
% 169.16/25.56  | | SIMP: (139) implies:
% 169.16/25.56  | |   (140)  all_52_3 = e0
% 169.16/25.56  | | 
% 169.16/25.56  | | COMBINE_EQS: (51), (140) imply:
% 169.16/25.56  | |   (141)  all_58_19 = e0
% 169.16/25.56  | | 
% 169.16/25.56  | | REDUCE: (124), (140) imply:
% 169.16/25.56  | |   (142)   ~ (all_52_1 = e0)
% 169.16/25.56  | | 
% 169.16/25.56  | | REDUCE: (28), (140) imply:
% 169.16/25.56  | |   (143)   ~ (all_52_7 = e0)
% 169.16/25.56  | | 
% 169.16/25.56  | | REDUCE: (18), (140) imply:
% 169.16/25.56  | |   (144)   ~ (all_52_11 = e0)
% 169.16/25.56  | | 
% 169.16/25.56  | | REDUCE: (15), (140) imply:
% 169.16/25.56  | |   (145)   ~ (all_14_2 = e0)
% 169.16/25.56  | | 
% 169.16/25.56  | | SIMP: (145) implies:
% 169.16/25.56  | |   (146)   ~ (all_14_2 = e0)
% 169.16/25.56  | | 
% 169.16/25.56  | | REDUCE: (39), (140) imply:
% 169.16/25.56  | |   (147)   ~ (all_6_2 = e0)
% 169.16/25.56  | | 
% 169.16/25.56  | | SIMP: (147) implies:
% 169.16/25.56  | |   (148)   ~ (all_6_2 = e0)
% 169.16/25.56  | | 
% 169.16/25.56  | | BETA: splitting (75) gives:
% 169.16/25.56  | | 
% 169.16/25.56  | | Case 1:
% 169.16/25.56  | | | 
% 169.16/25.56  | | |   (149)  all_56_4 = e0
% 169.16/25.56  | | | 
% 169.16/25.56  | | | COMBINE_EQS: (87), (149) imply:
% 169.16/25.56  | | |   (150)  all_52_8 = e0
% 169.16/25.56  | | | 
% 169.16/25.56  | | | COMBINE_EQS: (102), (150) imply:
% 169.16/25.56  | | |   (151)  all_58_24 = e0
% 169.16/25.56  | | | 
% 169.16/25.56  | | | REDUCE: (114), (150) imply:
% 169.16/25.56  | | |   (152)   ~ (all_52_4 = e0)
% 169.16/25.56  | | | 
% 169.16/25.56  | | | REDUCE: (76), (150) imply:
% 169.16/25.56  | | |   (153)   ~ (all_52_9 = e0)
% 169.16/25.56  | | | 
% 169.16/25.56  | | | SIMP: (153) implies:
% 169.16/25.56  | | |   (154)   ~ (all_52_9 = e0)
% 169.16/25.56  | | | 
% 169.16/25.56  | | | BETA: splitting (88) gives:
% 169.16/25.56  | | | 
% 169.16/25.56  | | | Case 1:
% 169.16/25.56  | | | | 
% 169.16/25.56  | | | |   (155)  all_56_2 = e0
% 169.16/25.56  | | | | 
% 169.16/25.56  | | | | COMBINE_EQS: (78), (155) imply:
% 169.16/25.56  | | | |   (156)  all_52_1 = e0
% 169.16/25.56  | | | | 
% 169.16/25.56  | | | | REDUCE: (142), (156) imply:
% 169.16/25.56  | | | |   (157)  $false
% 169.16/25.56  | | | | 
% 169.16/25.56  | | | | CLOSE: (157) is inconsistent.
% 169.16/25.56  | | | | 
% 169.16/25.56  | | | Case 2:
% 169.16/25.56  | | | | 
% 169.16/25.56  | | | |   (158)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.16/25.56  | | | | 
% 169.16/25.56  | | | | BETA: splitting (63) gives:
% 169.16/25.56  | | | | 
% 169.16/25.56  | | | | Case 1:
% 169.16/25.56  | | | | | 
% 169.16/25.56  | | | | |   (159)  all_54_7 = e0
% 169.16/25.56  | | | | | 
% 169.16/25.56  | | | | | COMBINE_EQS: (135), (159) imply:
% 169.16/25.56  | | | | |   (160)  all_52_13 = e0
% 169.16/25.56  | | | | | 
% 169.16/25.56  | | | | | SIMP: (160) implies:
% 169.16/25.56  | | | | |   (161)  all_52_13 = e0
% 169.16/25.56  | | | | | 
% 169.16/25.56  | | | | | REDUCE: (30), (161) imply:
% 169.16/25.56  | | | | |   (162)   ~ (all_4_2 = e0)
% 169.16/25.56  | | | | | 
% 169.16/25.56  | | | | | SIMP: (162) implies:
% 169.16/25.56  | | | | |   (163)   ~ (all_4_2 = e0)
% 169.16/25.56  | | | | | 
% 169.16/25.56  | | | | | REF_CLOSE: (2), (3), (7), (8), (12), (13), (14), (16), (17), (19),
% 169.16/25.56  | | | | |            (20), (22), (26), (27), (30), (31), (33), (34), (35), (36),
% 169.16/25.56  | | | | |            (40), (42), (43), (44), (45), (46), (48), (53), (55), (59),
% 169.16/25.56  | | | | |            (64), (65), (66), (67), (70), (71), (72), (74), (77), (78),
% 169.16/25.56  | | | | |            (80), (81), (83), (89), (91), (95), (98), (99), (100),
% 169.16/25.56  | | | | |            (101), (105), (106), (107), (109), (110), (113), (116),
% 169.16/25.56  | | | | |            (117), (118), (120), (121), (122), (123), (126), (127),
% 169.16/25.56  | | | | |            (128), (129), (130), (133), (136), (137), (138), (148),
% 169.16/25.56  | | | | |            (151), (152), (154), (158), (163) are inconsistent by
% 169.16/25.56  | | | | |            sub-proof #217.
% 169.16/25.56  | | | | | 
% 169.16/25.56  | | | | Case 2:
% 169.16/25.56  | | | | | 
% 169.16/25.56  | | | | |   (164)   ~ (all_54_7 = e0)
% 169.16/25.56  | | | | | 
% 169.16/25.56  | | | | | REDUCE: (135), (164) imply:
% 169.16/25.56  | | | | |   (165)   ~ (all_52_13 = e0)
% 169.16/25.56  | | | | | 
% 169.16/25.56  | | | | | REF_CLOSE: (4), (17), (25), (85), (107), (117), (121), (154), (158),
% 169.16/25.56  | | | | |            (165) are inconsistent by sub-proof #127.
% 169.16/25.56  | | | | | 
% 169.16/25.56  | | | | End of split
% 169.16/25.56  | | | | 
% 169.16/25.56  | | | End of split
% 169.16/25.56  | | | 
% 169.16/25.56  | | Case 2:
% 169.16/25.56  | | | 
% 169.16/25.56  | | |   (166)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 169.16/25.56  | | | 
% 169.16/25.56  | | | BETA: splitting (166) gives:
% 169.16/25.56  | | | 
% 169.16/25.56  | | | Case 1:
% 169.16/25.56  | | | | 
% 169.16/25.56  | | | |   (167)  all_56_5 = e0
% 169.16/25.57  | | | | 
% 169.16/25.57  | | | | COMBINE_EQS: (17), (167) imply:
% 169.16/25.57  | | | |   (168)  all_52_9 = e0
% 169.16/25.57  | | | | 
% 169.16/25.57  | | | | COMBINE_EQS: (116), (168) imply:
% 169.16/25.57  | | | |   (169)  all_58_25 = e0
% 169.16/25.57  | | | | 
% 169.16/25.57  | | | | REDUCE: (76), (168) imply:
% 169.16/25.57  | | | |   (170)   ~ (all_52_8 = e0)
% 169.16/25.57  | | | | 
% 169.16/25.57  | | | | REDUCE: (38), (168) imply:
% 169.16/25.57  | | | |   (171)   ~ (all_52_13 = e0)
% 169.16/25.57  | | | | 
% 169.16/25.57  | | | | SIMP: (171) implies:
% 169.16/25.57  | | | |   (172)   ~ (all_52_13 = e0)
% 169.16/25.57  | | | | 
% 169.16/25.57  | | | | REDUCE: (27), (168) imply:
% 169.16/25.57  | | | |   (173)   ~ (all_4_2 = e0)
% 169.16/25.57  | | | | 
% 169.16/25.57  | | | | SIMP: (173) implies:
% 169.16/25.57  | | | |   (174)   ~ (all_4_2 = e0)
% 169.16/25.57  | | | | 
% 169.16/25.57  | | | | BETA: splitting (72) gives:
% 169.16/25.57  | | | | 
% 169.16/25.57  | | | | Case 1:
% 169.16/25.57  | | | | | 
% 169.16/25.57  | | | | |   (175)  all_56_1 = e0
% 169.16/25.57  | | | | | 
% 169.16/25.57  | | | | | COMBINE_EQS: (3), (175) imply:
% 169.16/25.57  | | | | |   (176)  all_52_4 = e0
% 169.16/25.57  | | | | | 
% 169.16/25.57  | | | | | COMBINE_EQS: (91), (176) imply:
% 169.16/25.57  | | | | |   (177)  all_58_20 = e0
% 169.16/25.57  | | | | | 
% 169.16/25.57  | | | | | REDUCE: (106), (176) imply:
% 169.16/25.57  | | | | |   (178)   ~ (all_52_12 = e0)
% 169.16/25.57  | | | | | 
% 169.16/25.57  | | | | | SIMP: (178) implies:
% 169.16/25.57  | | | | |   (179)   ~ (all_52_12 = e0)
% 169.16/25.57  | | | | | 
% 169.16/25.57  | | | | | BETA: splitting (119) gives:
% 169.16/25.57  | | | | | 
% 169.16/25.57  | | | | | Case 1:
% 169.16/25.57  | | | | | | 
% 169.16/25.57  | | | | | |   (180)  all_56_9 = e0
% 169.16/25.57  | | | | | | 
% 169.16/25.57  | | | | | | COMBINE_EQS: (52), (180) imply:
% 169.16/25.57  | | | | | |   (181)  all_52_12 = e0
% 169.16/25.57  | | | | | | 
% 169.16/25.57  | | | | | | REDUCE: (179), (181) imply:
% 169.16/25.57  | | | | | |   (182)  $false
% 169.16/25.57  | | | | | | 
% 169.16/25.57  | | | | | | CLOSE: (182) is inconsistent.
% 169.16/25.57  | | | | | | 
% 169.16/25.57  | | | | | Case 2:
% 169.16/25.57  | | | | | | 
% 169.16/25.57  | | | | | |   (183)  all_56_10 = e0 | all_56_11 = e0
% 169.16/25.57  | | | | | | 
% 169.16/25.57  | | | | | | BETA: splitting (183) gives:
% 169.16/25.57  | | | | | | 
% 169.16/25.57  | | | | | | Case 1:
% 169.16/25.57  | | | | | | | 
% 169.16/25.57  | | | | | | |   (184)  all_56_10 = e0
% 169.16/25.57  | | | | | | | 
% 169.16/25.57  | | | | | | | COMBINE_EQS: (121), (184) imply:
% 169.16/25.57  | | | | | | |   (185)  all_52_13 = e0
% 169.16/25.57  | | | | | | | 
% 169.16/25.57  | | | | | | | REDUCE: (172), (185) imply:
% 169.16/25.57  | | | | | | |   (186)  $false
% 169.16/25.57  | | | | | | | 
% 169.16/25.57  | | | | | | | CLOSE: (186) is inconsistent.
% 169.16/25.57  | | | | | | | 
% 169.16/25.57  | | | | | | Case 2:
% 169.16/25.57  | | | | | | | 
% 169.16/25.57  | | | | | | |   (187)  all_56_11 = e0
% 169.16/25.57  | | | | | | | 
% 169.16/25.57  | | | | | | | COMBINE_EQS: (41), (187) imply:
% 169.16/25.57  | | | | | | |   (188)  all_52_14 = e0
% 169.16/25.57  | | | | | | | 
% 169.16/25.57  | | | | | | | SIMP: (188) implies:
% 169.16/25.57  | | | | | | |   (189)  all_52_14 = e0
% 169.16/25.57  | | | | | | | 
% 169.16/25.57  | | | | | | | COMBINE_EQS: (45), (189) imply:
% 169.16/25.57  | | | | | | |   (190)  all_58_30 = e0
% 169.16/25.57  | | | | | | | 
% 169.16/25.57  | | | | | | | REDUCE: (118), (189) imply:
% 169.16/25.57  | | | | | | |   (191)   ~ (all_52_2 = e0)
% 169.16/25.57  | | | | | | | 
% 169.16/25.57  | | | | | | | REDUCE: (84), (189) imply:
% 169.16/25.57  | | | | | | |   (192)   ~ (all_52_6 = e0)
% 169.16/25.57  | | | | | | | 
% 169.16/25.57  | | | | | | | BETA: splitting (83) gives:
% 169.16/25.57  | | | | | | | 
% 169.16/25.57  | | | | | | | Case 1:
% 169.16/25.57  | | | | | | | | 
% 169.16/25.57  | | | | | | | |   (193)  all_54_8 = e0
% 169.16/25.57  | | | | | | | | 
% 169.16/25.57  | | | | | | | | COMBINE_EQS: (2), (193) imply:
% 169.16/25.57  | | | | | | | |   (194)  all_52_2 = e0
% 169.16/25.57  | | | | | | | | 
% 169.16/25.57  | | | | | | | | REDUCE: (191), (194) imply:
% 169.16/25.57  | | | | | | | |   (195)  $false
% 169.16/25.57  | | | | | | | | 
% 169.16/25.57  | | | | | | | | CLOSE: (195) is inconsistent.
% 169.16/25.57  | | | | | | | | 
% 169.16/25.57  | | | | | | | Case 2:
% 169.16/25.57  | | | | | | | | 
% 169.16/25.57  | | | | | | | |   (196)   ~ (all_54_8 = e0)
% 169.16/25.57  | | | | | | | |   (197)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 169.16/25.57  | | | | | | | | 
% 169.16/25.57  | | | | | | | | BETA: splitting (8) gives:
% 169.16/25.57  | | | | | | | | 
% 169.16/25.57  | | | | | | | | Case 1:
% 169.16/25.57  | | | | | | | | | 
% 169.16/25.57  | | | | | | | | |   (198)  all_54_0 = e0
% 169.16/25.57  | | | | | | | | | 
% 169.16/25.57  | | | | | | | | | REF_CLOSE: (109), (148), (198) are inconsistent by sub-proof
% 169.16/25.57  | | | | | | | | |            #984.
% 169.16/25.57  | | | | | | | | | 
% 169.16/25.57  | | | | | | | | Case 2:
% 169.16/25.57  | | | | | | | | | 
% 169.16/25.57  | | | | | | | | |   (199)   ~ (all_54_0 = e0)
% 169.16/25.57  | | | | | | | | |   (200)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 169.16/25.57  | | | | | | | | | 
% 169.16/25.57  | | | | | | | | | BETA: splitting (63) gives:
% 169.16/25.57  | | | | | | | | | 
% 169.16/25.57  | | | | | | | | | Case 1:
% 169.16/25.57  | | | | | | | | | | 
% 169.16/25.57  | | | | | | | | | |   (201)  all_54_7 = e0
% 169.16/25.57  | | | | | | | | | | 
% 169.16/25.57  | | | | | | | | | | REF_CLOSE: (135), (172), (201) are inconsistent by sub-proof
% 169.16/25.57  | | | | | | | | | |            #714.
% 169.16/25.57  | | | | | | | | | | 
% 169.16/25.57  | | | | | | | | | Case 2:
% 169.16/25.57  | | | | | | | | | | 
% 169.16/25.57  | | | | | | | | | |   (202)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 169.16/25.57  | | | | | | | | | | 
% 169.16/25.57  | | | | | | | | | | REF_CLOSE: (1), (2), (4), (7), (10), (11), (12), (13), (14),
% 169.16/25.57  | | | | | | | | | |            (19), (20), (21), (22), (23), (24), (29), (30),
% 169.16/25.57  | | | | | | | | | |            (33), (34), (36), (37), (40), (42), (43), (44),
% 169.16/25.57  | | | | | | | | | |            (46), (47), (49), (50), (52), (53), (56), (60),
% 169.16/25.57  | | | | | | | | | |            (61), (62), (64), (65), (66), (73), (74), (78),
% 169.16/25.57  | | | | | | | | | |            (79), (80), (81), (82), (86), (87), (89), (90),
% 169.16/25.57  | | | | | | | | | |            (91), (92), (93), (94), (95), (96), (97), (98),
% 169.16/25.57  | | | | | | | | | |            (99), (101), (102), (105), (107), (108), (109),
% 169.16/25.57  | | | | | | | | | |            (111), (112), (113), (114), (117), (120), (123),
% 169.16/25.57  | | | | | | | | | |            (125), (126), (127), (128), (129), (130), (131),
% 169.16/25.57  | | | | | | | | | |            (132), (133), (134), (135), (138), (141), (142),
% 169.16/25.57  | | | | | | | | | |            (146), (148), (169), (172), (174), (175), (177),
% 169.16/25.57  | | | | | | | | | |            (179), (190), (191), (192), (197), (200), (202)
% 169.16/25.57  | | | | | | | | | |            are inconsistent by sub-proof #7.
% 169.16/25.57  | | | | | | | | | | 
% 169.16/25.57  | | | | | | | | | End of split
% 169.16/25.57  | | | | | | | | | 
% 169.16/25.57  | | | | | | | | End of split
% 169.16/25.57  | | | | | | | | 
% 169.16/25.57  | | | | | | | End of split
% 169.16/25.57  | | | | | | | 
% 169.16/25.57  | | | | | | End of split
% 169.16/25.57  | | | | | | 
% 169.16/25.57  | | | | | End of split
% 169.16/25.57  | | | | | 
% 169.16/25.57  | | | | Case 2:
% 169.16/25.57  | | | | | 
% 169.16/25.57  | | | | |   (203)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 169.16/25.57  | | | | | 
% 169.16/25.57  | | | | | BETA: splitting (203) gives:
% 169.16/25.57  | | | | | 
% 169.16/25.57  | | | | | Case 1:
% 169.16/25.57  | | | | | | 
% 169.16/25.57  | | | | | |   (204)  all_56_3 = e0
% 169.16/25.57  | | | | | | 
% 169.16/25.57  | | | | | | COMBINE_EQS: (107), (204) imply:
% 169.16/25.57  | | | | | |   (205)  all_4_2 = e0
% 169.16/25.57  | | | | | | 
% 169.16/25.57  | | | | | | REDUCE: (174), (205) imply:
% 169.16/25.57  | | | | | |   (206)  $false
% 169.16/25.57  | | | | | | 
% 169.16/25.57  | | | | | | CLOSE: (206) is inconsistent.
% 169.16/25.57  | | | | | | 
% 169.16/25.57  | | | | | Case 2:
% 169.16/25.57  | | | | | | 
% 169.16/25.57  | | | | | |   (207)  all_56_7 = e0 | all_56_13 = e0
% 169.16/25.57  | | | | | | 
% 169.16/25.57  | | | | | | BETA: splitting (207) gives:
% 169.16/25.57  | | | | | | 
% 169.16/25.57  | | | | | | Case 1:
% 169.16/25.57  | | | | | | | 
% 169.16/25.57  | | | | | | |   (208)  all_56_7 = e0
% 169.16/25.57  | | | | | | | 
% 169.16/25.57  | | | | | | | COMBINE_EQS: (130), (208) imply:
% 169.16/25.57  | | | | | | |   (209)  all_52_6 = e0
% 169.16/25.57  | | | | | | | 
% 169.16/25.57  | | | | | | | COMBINE_EQS: (105), (209) imply:
% 169.16/25.57  | | | | | | |   (210)  all_58_22 = e0
% 169.16/25.57  | | | | | | | 
% 169.16/25.57  | | | | | | | REDUCE: (35), (209) imply:
% 169.16/25.57  | | | | | | |   (211)   ~ (all_52_4 = e0)
% 169.16/25.57  | | | | | | | 
% 169.16/25.57  | | | | | | | REDUCE: (84), (209) imply:
% 169.16/25.57  | | | | | | |   (212)   ~ (all_52_14 = e0)
% 169.16/25.57  | | | | | | | 
% 169.16/25.57  | | | | | | | SIMP: (212) implies:
% 169.16/25.57  | | | | | | |   (213)   ~ (all_52_14 = e0)
% 169.16/25.57  | | | | | | | 
% 169.16/25.57  | | | | | | | BETA: splitting (119) gives:
% 169.16/25.57  | | | | | | | 
% 169.16/25.57  | | | | | | | Case 1:
% 169.16/25.57  | | | | | | | | 
% 169.16/25.57  | | | | | | | |   (214)  all_56_9 = e0
% 169.16/25.57  | | | | | | | | 
% 169.16/25.57  | | | | | | | | COMBINE_EQS: (52), (214) imply:
% 169.16/25.57  | | | | | | | |   (215)  all_52_12 = e0
% 169.16/25.57  | | | | | | | | 
% 169.16/25.57  | | | | | | | | COMBINE_EQS: (127), (215) imply:
% 169.16/25.57  | | | | | | | |   (216)  all_58_28 = e0
% 169.16/25.57  | | | | | | | | 
% 169.16/25.57  | | | | | | | | REF_CLOSE: (3), (7), (8), (12), (13), (14), (16), (19), (23),
% 169.16/25.57  | | | | | | | |            (26), (31), (33), (34), (36), (37), (40), (41), (43),
% 169.16/25.57  | | | | | | | |            (44), (45), (46), (47), (54), (55), (57), (59), (61),
% 169.16/25.57  | | | | | | | |            (62), (65), (66), (67), (68), (69), (70), (71), (77),
% 169.16/25.57  | | | | | | | |            (78), (79), (80), (81), (85), (87), (89), (91), (92),
% 169.16/25.57  | | | | | | | |            (94), (95), (96), (97), (98), (99), (101), (102),
% 169.16/25.57  | | | | | | | |            (107), (109), (110), (113), (114), (117), (120),
% 169.16/25.57  | | | | | | | |            (121), (122), (123), (125), (126), (128), (129),
% 169.16/25.57  | | | | | | | |            (133), (136), (138), (142), (146), (148), (167),
% 169.16/25.57  | | | | | | | |            (169), (170), (174), (210), (211), (213), (214),
% 169.16/25.57  | | | | | | | |            (216) are inconsistent by sub-proof #209.
% 169.16/25.57  | | | | | | | | 
% 169.16/25.57  | | | | | | | Case 2:
% 169.16/25.57  | | | | | | | | 
% 169.16/25.57  | | | | | | | |   (217)  all_56_10 = e0 | all_56_11 = e0
% 169.16/25.57  | | | | | | | | 
% 169.16/25.57  | | | | | | | | REF_CLOSE: (41), (121), (172), (213), (217) are inconsistent by
% 169.16/25.57  | | | | | | | |            sub-proof #414.
% 169.16/25.57  | | | | | | | | 
% 169.16/25.57  | | | | | | | End of split
% 169.16/25.57  | | | | | | | 
% 169.16/25.57  | | | | | | Case 2:
% 169.16/25.57  | | | | | | | 
% 169.16/25.57  | | | | | | |   (218)  all_56_13 = e0
% 169.16/25.57  | | | | | | | 
% 169.16/25.57  | | | | | | | REF_CLOSE: (74), (101), (218) are inconsistent by sub-proof #942.
% 169.16/25.57  | | | | | | | 
% 169.16/25.57  | | | | | | End of split
% 169.16/25.57  | | | | | | 
% 169.16/25.57  | | | | | End of split
% 169.16/25.57  | | | | | 
% 169.16/25.57  | | | | End of split
% 169.16/25.57  | | | | 
% 169.16/25.57  | | | Case 2:
% 169.16/25.57  | | | | 
% 169.16/25.57  | | | |   (219)  all_56_8 = e0 | all_56_14 = e0
% 169.16/25.57  | | | | 
% 169.16/25.57  | | | | REF_CLOSE: (9), (29), (32), (113), (219) are inconsistent by sub-proof
% 169.16/25.57  | | | |            #914.
% 169.16/25.57  | | | | 
% 169.16/25.57  | | | End of split
% 169.16/25.57  | | | 
% 169.16/25.57  | | End of split
% 169.16/25.57  | | 
% 169.16/25.57  | Case 2:
% 169.16/25.57  | | 
% 169.16/25.57  | |   (220)  all_56_13 = e0 | all_56_14 = e0
% 169.16/25.57  | | 
% 169.16/25.57  | | REF_CLOSE: (29), (74), (101), (113), (220) are inconsistent by sub-proof
% 169.16/25.57  | |            #49.
% 169.16/25.57  | | 
% 169.16/25.57  | End of split
% 169.16/25.57  | 
% 169.16/25.57  End of proof
% 169.16/25.57  
% 169.16/25.57  Sub-proof #3 shows that the following formulas are inconsistent:
% 169.16/25.57  ----------------------------------------------------------------
% 169.16/25.57    (1)   ~ (all_52_12 = all_14_2)
% 169.16/25.57    (2)  op(e0, e0) = all_14_2
% 169.16/25.57    (3)  all_54_8 = all_52_2
% 169.16/25.57    (4)  all_56_1 = all_52_4
% 169.16/25.57    (5)  op(all_4_2, e2) = e0
% 169.16/25.57    (6)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 169.16/25.57    (7)  all_56_12 = all_52_3
% 169.16/25.57    (8)  op(e1, e3) = all_52_2
% 169.16/25.57    (9)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 169.16/25.57    (10)  op(e1, all_52_14) = all_58_11
% 169.16/25.57    (11)   ~ (all_10_2 = e0)
% 169.16/25.57    (12)   ~ (all_52_8 = all_52_12)
% 169.16/25.57    (13)   ~ (e3 = e1)
% 169.16/25.57    (14)  all_58_23 = all_52_7
% 169.16/25.57    (15)  all_44_0 = all_4_0
% 169.16/25.57    (16)   ~ (all_52_2 = all_6_2)
% 169.16/25.57    (17)  all_8_2 = all_6_2
% 169.16/25.57    (18)   ~ (all_52_3 = all_14_2)
% 169.16/25.57    (19)   ~ (all_52_4 = all_4_2)
% 169.16/25.57    (20)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 169.16/25.57    (21)  all_54_3 = all_52_12
% 169.16/25.57    (22)  all_56_5 = all_52_9
% 169.16/25.57    (23)   ~ (all_52_3 = all_52_11)
% 169.16/25.57    (24)  op(all_6_2, e3) = all_6_1
% 169.16/25.57    (25)   ~ (all_52_12 = all_6_2)
% 169.16/25.57    (26)  op(e2, e0) = all_52_13
% 169.16/25.57    (27)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 169.16/25.57    (28)   ~ (all_52_6 = all_4_2)
% 169.16/25.57    (29)  op(e3, all_6_2) = all_58_0
% 169.16/25.57    (30)  op(e1, e0) = all_52_14
% 169.16/25.57    (31)  all_56_15 = all_14_2
% 169.16/25.57    (32)  op(e0, e2) = all_52_7
% 169.16/25.57    (33)  all_54_1 = all_52_4
% 169.16/25.57    (34)   ~ (all_14_2 = e0)
% 169.16/25.57    (35)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 169.16/25.57    (36)   ~ (all_52_9 = all_4_2)
% 169.16/25.57    (37)   ~ (all_52_3 = all_52_7)
% 169.16/25.57    (38)  all_54_6 = all_52_9
% 169.16/25.57    (39)  all_56_14 = all_52_11
% 169.16/25.57    (40)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 169.16/25.57    (41)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 169.16/25.57    (42)   ~ (all_52_13 = all_4_2)
% 169.16/25.57    (43)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 169.16/25.57    (44)  op(e0, all_52_3) = all_58_12
% 169.16/25.57    (45)  all_56_8 = all_10_2
% 169.16/25.57    (46)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 169.16/25.57    (47)   ~ (all_52_9 = e0)
% 169.16/25.57    (48)  all_58_26 = all_10_2
% 169.16/25.57    (49)   ~ (all_52_4 = all_52_6)
% 169.16/25.57    (50)  all_58_31 = all_14_2
% 169.16/25.57    (51)   ~ (all_52_9 = all_52_13)
% 169.16/25.57    (52)   ~ (all_52_3 = all_6_2)
% 169.16/25.57    (53)   ~ (all_52_1 = all_6_2)
% 169.16/25.57    (54)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 169.16/25.57    (55)  all_54_2 = all_52_8
% 169.16/25.57    (56)  all_56_11 = all_52_14
% 169.16/25.57    (57)   ~ (all_52_6 = all_52_7)
% 169.16/25.57    (58)  all_56_0 = all_6_2
% 169.16/25.57    (59)   ~ (all_52_9 = all_10_2)
% 169.16/25.57    (60)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 169.16/25.57    (61)  all_58_30 = all_52_14
% 169.16/25.57    (62)  all_58_27 = all_52_11
% 169.16/25.57    (63)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 169.16/25.57    (64)  all_58_17 = all_52_1
% 169.16/25.57    (65)  op(e3, e1) = all_52_8
% 169.16/25.57    (66)  op(e2, all_4_2) = all_58_5
% 169.16/25.57    (67)  all_58_19 = all_52_3
% 169.16/25.57    (68)  all_56_9 = all_52_12
% 169.16/25.57    (69)   ~ (all_52_2 = all_52_6)
% 169.16/25.57    (70)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 169.16/25.57    (71)  op(e2, e2) = all_4_2
% 169.16/25.57    (72)   ~ (e3 = e2)
% 169.16/25.57    (73)  op(e3, all_52_8) = all_58_2
% 169.16/25.57    (74)   ~ (all_52_4 = all_52_7)
% 169.16/25.57    (75)   ~ (e2 = e1)
% 169.16/25.57    (76)   ~ (all_52_6 = all_10_2)
% 169.16/25.57    (77)  op(e0, all_52_11) = all_58_14
% 169.16/25.57    (78)   ~ (all_52_7 = all_14_2)
% 169.16/25.57    (79)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 169.16/25.57    (80)   ~ (all_52_13 = all_14_2)
% 169.16/25.57    (81)   ~ (all_52_1 = all_4_2)
% 169.16/25.57    (82)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.16/25.57    (83)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 169.16/25.57    (84)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 169.16/25.57    (85)   ~ (all_52_13 = all_52_14)
% 169.16/25.57    (86)  op(e2, e3) = all_52_1
% 169.16/25.57    (87)  all_58_18 = all_52_2
% 169.16/25.57    (88)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 169.16/25.57    (89)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 169.16/25.57    (90)  all_58_16 = all_6_2
% 169.16/25.57    (91)  all_56_13 = all_52_7
% 169.16/25.57    (92)  op(e0, e3) = all_52_3
% 169.16/25.57    (93)   ~ (all_52_12 = e0)
% 169.16/25.57    (94)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 169.16/25.57    (95)   ~ (all_52_8 = all_52_9)
% 169.16/25.57    (96)   ~ (all_52_4 = all_6_2)
% 169.16/25.57    (97)  all_56_2 = all_52_1
% 169.16/25.57    (98)   ~ (e3 = e0)
% 169.16/25.57    (99)  op(e3, e0) = all_52_12
% 169.16/25.57    (100)  all_58_29 = all_52_13
% 169.16/25.57    (101)   ~ (all_52_1 = all_52_2)
% 169.16/25.57    (102)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 169.16/25.57    (103)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 169.16/25.57    (104)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 169.16/25.57    (105)  op(e0, all_4_2) = all_4_0
% 169.16/25.57    (106)   ~ (all_52_6 = all_52_14)
% 169.16/25.57    (107)   ~ (all_52_7 = all_4_2)
% 169.16/25.57    (108)   ~ (all_52_8 = all_10_2)
% 169.16/25.57    (109)  all_56_4 = all_52_8
% 169.16/25.57    (110)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.16/25.57    (111)   ~ (all_52_1 = all_52_13)
% 169.16/25.57    (112)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 169.16/25.57    (113)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 169.16/25.57    (114)  all_58_20 = all_52_4
% 169.16/25.57    (115)  all_54_10 = all_10_2
% 169.16/25.57    (116)  all_54_15 = all_14_2
% 169.16/25.57    (117)   ~ (all_52_7 = all_52_11)
% 169.16/25.57    (118)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 169.16/25.57    (119)  all_44_2 = all_4_2
% 169.16/25.57    (120)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 169.16/25.57    (121)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 169.16/25.57    (122)   ~ (all_44_0 = e1) |  ~ (all_44_2 = e3)
% 169.16/25.57    (123)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 169.16/25.57    (124)   ~ (all_52_8 = all_52_11)
% 169.16/25.57    (125)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 169.16/25.57    (126)   ~ (all_52_8 = all_6_2)
% 169.16/25.57    (127)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 169.16/25.57    (128)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 169.16/25.57    (129)  all_56_6 = all_52_2
% 169.16/25.57    (130)   ~ (all_52_1 = all_52_9)
% 169.16/25.57    (131)  all_58_24 = all_52_8
% 169.16/25.57    (132)   ~ (all_52_12 = all_52_14)
% 169.16/25.57    (133)  all_58_22 = all_52_6
% 169.16/25.57    (134)  all_58_27 = e0
% 169.16/25.57    (135)   ~ (all_52_4 = all_52_12)
% 169.16/25.57    (136)  all_56_3 = all_4_2
% 169.16/25.57    (137)  all_54_0 = all_6_2
% 169.16/25.57    (138)   ~ (all_52_14 = all_10_2)
% 169.16/25.57    (139)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 169.16/25.57    (140)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 169.16/25.57    (141)   ~ (all_52_2 = all_52_3)
% 169.16/25.57    (142)   ~ (all_52_4 = all_52_8)
% 169.16/25.57    (143)   ~ (all_52_14 = all_14_2)
% 169.16/25.57    (144)  all_58_25 = all_52_9
% 169.16/25.57    (145)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.16/25.57             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.16/25.57    (146)  all_54_12 = all_52_3
% 169.16/25.57    (147)   ~ (all_52_2 = all_52_14)
% 169.16/25.57    (148)  op(e0, all_14_2) = all_58_15
% 169.16/25.57    (149)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 169.16/25.57    (150)  all_58_21 = all_4_2
% 169.16/25.57    (151)  all_56_10 = all_52_13
% 169.16/25.57    (152)   ~ (all_52_3 = e0)
% 169.16/25.57    (153)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 169.16/25.57    (154)   ~ (e2 = e0)
% 169.16/25.57    (155)   ~ (all_52_1 = all_52_3)
% 169.16/25.57    (156)  all_8_1 = all_6_1
% 169.16/25.57    (157)  all_58_28 = all_52_12
% 169.16/25.57    (158)  op(e1, all_52_6) = all_58_9
% 169.16/25.57    (159)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 169.16/25.57    (160)   ~ (e1 = e0)
% 169.16/25.57    (161)  all_54_4 = all_52_1
% 169.16/25.57    (162)  all_56_7 = all_52_6
% 169.16/25.57    (163)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 169.16/25.57             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 169.16/25.57             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 169.16/25.57             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 169.16/25.57             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 169.16/25.57             (all_58_15 = e0))
% 169.16/25.57    (164)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 169.16/25.57    (165)   ~ (all_52_8 = e0)
% 169.16/25.57    (166)  all_54_5 = all_4_2
% 169.16/25.57    (167)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 169.16/25.57    (168)  op(e2, all_52_13) = all_58_7
% 169.16/25.57    (169)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 169.16/25.57    (170)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 169.16/25.57           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 169.16/25.57           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 169.16/25.57           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 169.16/25.57           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 169.16/25.57           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 169.16/25.57           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 169.16/25.57           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 169.16/25.57           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 169.16/25.57           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 169.16/25.57             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 169.16/25.57             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 169.16/25.57             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 169.16/25.57             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 169.16/25.57             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 169.16/25.57             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 169.16/25.57             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 169.16/25.57             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 169.16/25.57             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 169.16/25.57             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 169.16/25.57             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 169.16/25.57             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 169.16/25.57             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 169.16/25.57             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 169.16/25.57             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 169.16/25.57             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 169.16/25.57           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 169.16/25.57           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 169.16/25.57           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 169.16/25.57             all_58_30 = e0 & e1 = e0)
% 169.16/25.57    (171)   ~ (all_52_2 = all_10_2)
% 169.16/25.57    (172)  all_54_11 = all_52_14
% 169.16/25.57    (173)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 169.16/25.57    (174)   ~ (all_52_12 = all_52_13)
% 169.16/25.57  
% 169.16/25.57  Begin of proof
% 169.16/25.57  | 
% 169.16/25.57  | BETA: splitting (128) gives:
% 169.16/25.57  | 
% 169.16/25.57  | Case 1:
% 169.16/25.57  | | 
% 169.16/25.57  | |   (175)  all_56_0 = e0
% 169.16/25.57  | | 
% 169.16/25.57  | | COMBINE_EQS: (58), (175) imply:
% 169.16/25.57  | |   (176)  all_6_2 = e0
% 169.16/25.57  | | 
% 169.16/25.57  | | REDUCE: (53), (176) imply:
% 169.16/25.57  | |   (177)   ~ (all_52_1 = e0)
% 169.16/25.57  | | 
% 169.16/25.57  | | REDUCE: (16), (176) imply:
% 169.16/25.57  | |   (178)   ~ (all_52_2 = e0)
% 169.16/25.57  | | 
% 169.16/25.57  | | REDUCE: (29), (176) imply:
% 169.16/25.57  | |   (179)  op(e3, e0) = all_58_0
% 169.16/25.57  | | 
% 169.16/25.57  | | GROUND_INST: instantiating (145) with all_52_12, all_58_0, e0, e3,
% 169.16/25.57  | |              simplifying with (99), (179) gives:
% 169.16/25.57  | |   (180)  all_58_0 = all_52_12
% 169.16/25.57  | | 
% 169.16/25.57  | | BETA: splitting (121) gives:
% 169.16/25.57  | | 
% 169.16/25.57  | | Case 1:
% 169.16/25.57  | | | 
% 169.16/25.57  | | |   (181)  all_56_6 = e0
% 169.16/25.57  | | | 
% 169.16/25.57  | | | COMBINE_EQS: (129), (181) imply:
% 169.16/25.57  | | |   (182)  all_52_2 = e0
% 169.16/25.57  | | | 
% 169.16/25.57  | | | REDUCE: (178), (182) imply:
% 169.16/25.57  | | |   (183)  $false
% 169.16/25.57  | | | 
% 169.16/25.57  | | | CLOSE: (183) is inconsistent.
% 169.16/25.57  | | | 
% 169.16/25.58  | | Case 2:
% 169.16/25.58  | | | 
% 169.16/25.58  | | |   (184)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 169.16/25.58  | | | 
% 169.16/25.58  | | | BETA: splitting (110) gives:
% 169.16/25.58  | | | 
% 169.16/25.58  | | | Case 1:
% 169.16/25.58  | | | | 
% 169.16/25.58  | | | |   (185)  all_56_2 = e0
% 169.16/25.58  | | | | 
% 169.16/25.58  | | | | COMBINE_EQS: (97), (185) imply:
% 169.16/25.58  | | | |   (186)  all_52_1 = e0
% 169.16/25.58  | | | | 
% 169.16/25.58  | | | | REDUCE: (177), (186) imply:
% 169.16/25.58  | | | |   (187)  $false
% 169.16/25.58  | | | | 
% 169.16/25.58  | | | | CLOSE: (187) is inconsistent.
% 169.16/25.58  | | | | 
% 169.16/25.58  | | | Case 2:
% 169.16/25.58  | | | | 
% 169.16/25.58  | | | |   (188)   ~ (all_56_2 = e0)
% 169.16/25.58  | | | |   (189)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.16/25.58  | | | | 
% 169.16/25.58  | | | | BETA: splitting (41) gives:
% 169.16/25.58  | | | | 
% 169.16/25.58  | | | | Case 1:
% 169.16/25.58  | | | | | 
% 169.16/25.58  | | | | |   (190)  all_54_11 = e0
% 169.16/25.58  | | | | | 
% 169.16/25.58  | | | | | REF_CLOSE: (5), (22), (32), (47), (85), (107), (136), (145), (151),
% 169.16/25.58  | | | | |            (172), (189), (190) are inconsistent by sub-proof #81.
% 169.16/25.58  | | | | | 
% 169.16/25.58  | | | | Case 2:
% 169.16/25.58  | | | | | 
% 169.16/25.58  | | | | |   (191)   ~ (all_54_11 = e0)
% 169.16/25.58  | | | | | 
% 169.16/25.58  | | | | | REDUCE: (172), (191) imply:
% 169.16/25.58  | | | | |   (192)   ~ (all_52_14 = e0)
% 169.16/25.58  | | | | | 
% 169.16/25.58  | | | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (11), (12), (13),
% 169.16/25.58  | | | | |            (14), (16), (17), (19), (20), (22), (23), (24), (25), (26),
% 169.16/25.58  | | | | |            (27), (28), (29), (30), (31), (33), (36), (38), (39), (40),
% 169.16/25.58  | | | | |            (41), (42), (43), (45), (46), (47), (48), (49), (50), (51),
% 169.16/25.58  | | | | |            (53), (54), (55), (56), (57), (58), (60), (61), (62), (63),
% 169.16/25.58  | | | | |            (64), (67), (68), (69), (70), (72), (74), (75), (76), (77),
% 169.16/25.58  | | | | |            (79), (80), (81), (82), (83), (84), (85), (86), (87), (88),
% 169.16/25.58  | | | | |            (89), (90), (91), (92), (93), (94), (95), (96), (97), (98),
% 169.16/25.58  | | | | |            (99), (100), (101), (103), (104), (106), (107), (108),
% 169.16/25.58  | | | | |            (109), (110), (111), (112), (114), (116), (117), (118),
% 169.16/25.58  | | | | |            (120), (123), (124), (125), (126), (127), (128), (129),
% 169.16/25.58  | | | | |            (130), (131), (132), (133), (135), (136), (137), (138),
% 169.16/25.58  | | | | |            (139), (141), (142), (143), (144), (145), (147), (149),
% 169.16/25.58  | | | | |            (150), (151), (153), (154), (155), (156), (157), (158),
% 169.16/25.58  | | | | |            (160), (161), (162), (163), (164), (166), (168), (169),
% 169.16/25.58  | | | | |            (170), (171), (172), (174), (177), (184), (192) are
% 169.16/25.58  | | | | |            inconsistent by sub-proof #36.
% 169.16/25.58  | | | | | 
% 169.16/25.58  | | | | End of split
% 169.16/25.58  | | | | 
% 169.16/25.58  | | | End of split
% 169.16/25.58  | | | 
% 169.16/25.58  | | End of split
% 169.16/25.58  | | 
% 169.16/25.58  | Case 2:
% 169.16/25.58  | | 
% 169.16/25.58  | |   (193)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 169.16/25.58  | | 
% 169.16/25.58  | | BETA: splitting (193) gives:
% 169.16/25.58  | | 
% 169.16/25.58  | | Case 1:
% 169.16/25.58  | | | 
% 169.16/25.58  | | |   (194)  all_56_1 = e0
% 169.16/25.58  | | | 
% 169.16/25.58  | | | COMBINE_EQS: (4), (194) imply:
% 169.16/25.58  | | |   (195)  all_52_4 = e0
% 169.16/25.58  | | | 
% 169.16/25.58  | | | COMBINE_EQS: (114), (195) imply:
% 169.16/25.58  | | |   (196)  all_58_20 = e0
% 169.16/25.58  | | | 
% 169.16/25.58  | | | REDUCE: (49), (195) imply:
% 169.16/25.58  | | |   (197)   ~ (all_52_6 = e0)
% 169.16/25.58  | | | 
% 169.16/25.58  | | | SIMP: (197) implies:
% 169.16/25.58  | | |   (198)   ~ (all_52_6 = e0)
% 169.16/25.58  | | | 
% 169.16/25.58  | | | REDUCE: (74), (195) imply:
% 169.16/25.58  | | |   (199)   ~ (all_52_7 = e0)
% 169.16/25.58  | | | 
% 169.16/25.58  | | | SIMP: (199) implies:
% 169.16/25.58  | | |   (200)   ~ (all_52_7 = e0)
% 169.16/25.58  | | | 
% 169.16/25.58  | | | REDUCE: (142), (195) imply:
% 169.16/25.58  | | |   (201)   ~ (all_52_8 = e0)
% 169.16/25.58  | | | 
% 169.16/25.58  | | | REDUCE: (135), (195) imply:
% 169.16/25.58  | | |   (202)   ~ (all_52_12 = e0)
% 169.16/25.58  | | | 
% 169.16/25.58  | | | REDUCE: (96), (195) imply:
% 169.16/25.58  | | |   (203)   ~ (all_6_2 = e0)
% 169.16/25.58  | | | 
% 169.16/25.58  | | | SIMP: (203) implies:
% 169.16/25.58  | | |   (204)   ~ (all_6_2 = e0)
% 169.16/25.58  | | | 
% 169.16/25.58  | | | REDUCE: (19), (195) imply:
% 169.16/25.58  | | |   (205)   ~ (all_4_2 = e0)
% 169.16/25.58  | | | 
% 169.16/25.58  | | | SIMP: (205) implies:
% 169.16/25.58  | | |   (206)   ~ (all_4_2 = e0)
% 169.16/25.58  | | | 
% 169.16/25.58  | | | BETA: splitting (118) gives:
% 169.16/25.58  | | | 
% 169.16/25.58  | | | Case 1:
% 169.16/25.58  | | | | 
% 169.16/25.58  | | | |   (207)  all_56_0 = e0
% 169.16/25.58  | | | | 
% 169.16/25.58  | | | | COMBINE_EQS: (58), (207) imply:
% 169.16/25.58  | | | |   (208)  all_6_2 = e0
% 169.16/25.58  | | | | 
% 169.16/25.58  | | | | REDUCE: (204), (208) imply:
% 169.16/25.58  | | | |   (209)  $false
% 169.16/25.58  | | | | 
% 169.16/25.58  | | | | CLOSE: (209) is inconsistent.
% 169.16/25.58  | | | | 
% 169.16/25.58  | | | Case 2:
% 169.16/25.58  | | | | 
% 169.16/25.58  | | | |   (210)   ~ (all_56_0 = e0)
% 169.16/25.58  | | | |   (211)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 169.16/25.58  | | | | 
% 169.16/25.58  | | | | BETA: splitting (121) gives:
% 169.16/25.58  | | | | 
% 169.16/25.58  | | | | Case 1:
% 169.16/25.58  | | | | | 
% 169.16/25.58  | | | | |   (212)  all_56_6 = e0
% 169.16/25.58  | | | | | 
% 169.16/25.58  | | | | | COMBINE_EQS: (129), (212) imply:
% 169.16/25.58  | | | | |   (213)  all_52_2 = e0
% 169.16/25.58  | | | | | 
% 169.16/25.58  | | | | | COMBINE_EQS: (87), (213) imply:
% 169.16/25.58  | | | | |   (214)  all_58_18 = e0
% 169.16/25.58  | | | | | 
% 169.16/25.58  | | | | | REDUCE: (101), (213) imply:
% 169.16/25.58  | | | | |   (215)   ~ (all_52_1 = e0)
% 169.16/25.58  | | | | | 
% 169.16/25.58  | | | | | REDUCE: (141), (213) imply:
% 169.16/25.58  | | | | |   (216)   ~ (all_52_3 = e0)
% 169.16/25.58  | | | | | 
% 169.16/25.58  | | | | | REDUCE: (147), (213) imply:
% 169.16/25.58  | | | | |   (217)   ~ (all_52_14 = e0)
% 169.16/25.58  | | | | | 
% 169.16/25.58  | | | | | SIMP: (217) implies:
% 169.16/25.58  | | | | |   (218)   ~ (all_52_14 = e0)
% 169.16/25.58  | | | | | 
% 169.16/25.58  | | | | | REF_CLOSE: (4), (5), (7), (9), (13), (14), (19), (20), (22), (25),
% 169.16/25.58  | | | | |            (28), (31), (34), (36), (37), (38), (40), (43), (46), (47),
% 169.16/25.58  | | | | |            (48), (50), (52), (53), (56), (57), (58), (61), (64), (66),
% 169.16/25.58  | | | | |            (67), (68), (71), (72), (74), (76), (79), (81), (82), (84),
% 169.16/25.58  | | | | |            (85), (88), (90), (91), (93), (97), (98), (100), (102),
% 169.16/25.58  | | | | |            (106), (107), (109), (114), (123), (130), (132), (133),
% 169.16/25.58  | | | | |            (134), (136), (137), (143), (144), (145), (149), (150),
% 169.16/25.58  | | | | |            (151), (152), (153), (154), (157), (160), (162), (164),
% 169.16/25.58  | | | | |            (165), (170), (193), (194), (196), (198), (200), (204),
% 169.16/25.58  | | | | |            (206), (212), (214), (215), (218) are inconsistent by
% 169.16/25.58  | | | | |            sub-proof #93.
% 169.16/25.58  | | | | | 
% 169.16/25.58  | | | | Case 2:
% 169.16/25.58  | | | | | 
% 169.16/25.58  | | | | |   (219)   ~ (all_56_6 = e0)
% 169.16/25.58  | | | | |   (220)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 169.16/25.58  | | | | | 
% 169.16/25.58  | | | | | REDUCE: (129), (219) imply:
% 169.16/25.58  | | | | |   (221)   ~ (all_52_2 = e0)
% 169.16/25.58  | | | | | 
% 169.16/25.58  | | | | | BETA: splitting (211) gives:
% 169.16/25.58  | | | | | 
% 169.16/25.58  | | | | | Case 1:
% 169.16/25.58  | | | | | | 
% 169.16/25.58  | | | | | |   (222)  all_56_2 = e0
% 169.16/25.58  | | | | | | 
% 169.16/25.58  | | | | | | COMBINE_EQS: (97), (222) imply:
% 169.16/25.58  | | | | | |   (223)  all_52_1 = e0
% 169.16/25.58  | | | | | | 
% 169.16/25.58  | | | | | | COMBINE_EQS: (64), (223) imply:
% 169.16/25.58  | | | | | |   (224)  all_58_17 = e0
% 169.16/25.58  | | | | | | 
% 169.16/25.58  | | | | | | REF_CLOSE: (1), (5), (7), (9), (10), (11), (12), (14), (15), (16),
% 169.16/25.58  | | | | | |            (18), (20), (21), (22), (25), (30), (35), (42), (43),
% 169.16/25.58  | | | | | |            (44), (45), (46), (50), (52), (55), (56), (57), (58),
% 169.16/25.58  | | | | | |            (59), (61), (65), (66), (67), (68), (69), (71), (72),
% 169.16/25.58  | | | | | |            (73), (76), (78), (79), (80), (82), (85), (87), (88),
% 169.16/25.58  | | | | | |            (90), (91), (92), (98), (100), (105), (108), (109),
% 169.16/25.58  | | | | | |            (112), (113), (115), (116), (119), (120), (122), (123),
% 169.16/25.58  | | | | | |            (126), (129), (132), (133), (136), (137), (138), (139),
% 169.16/25.58  | | | | | |            (140), (141), (143), (145), (146), (147), (148), (150),
% 169.16/25.58  | | | | | |            (151), (152), (154), (157), (159), (160), (162), (163),
% 169.16/25.58  | | | | | |            (165), (167), (173), (174), (194), (196), (198), (200),
% 169.16/25.58  | | | | | |            (204), (206), (220), (222), (224) are inconsistent by
% 169.16/25.58  | | | | | |            sub-proof #106.
% 169.16/25.58  | | | | | | 
% 169.16/25.58  | | | | | Case 2:
% 169.16/25.58  | | | | | | 
% 169.16/25.58  | | | | | |   (225)  all_56_6 = e0 | all_56_12 = e0
% 169.16/25.58  | | | | | | 
% 169.16/25.58  | | | | | | REF_CLOSE: (7), (129), (152), (221), (225) are inconsistent by
% 169.16/25.58  | | | | | |            sub-proof #918.
% 169.16/25.58  | | | | | | 
% 169.16/25.58  | | | | | End of split
% 169.16/25.58  | | | | | 
% 169.16/25.58  | | | | End of split
% 169.16/25.58  | | | | 
% 169.16/25.58  | | | End of split
% 169.16/25.58  | | | 
% 169.16/25.58  | | Case 2:
% 169.16/25.58  | | | 
% 169.16/25.58  | | |   (226)  all_56_4 = e0 | all_56_9 = e0
% 169.16/25.58  | | | 
% 169.16/25.58  | | | REF_CLOSE: (68), (93), (109), (165), (226) are inconsistent by sub-proof
% 169.16/25.58  | | |            #563.
% 169.16/25.58  | | | 
% 169.16/25.58  | | End of split
% 169.16/25.58  | | 
% 169.16/25.58  | End of split
% 169.16/25.58  | 
% 169.16/25.58  End of proof
% 169.16/25.58  
% 169.16/25.58  Sub-proof #4 shows that the following formulas are inconsistent:
% 169.16/25.58  ----------------------------------------------------------------
% 169.16/25.58    (1)   ~ (all_52_12 = all_14_2)
% 169.16/25.58    (2)   ~ (all_34_0 = e2) |  ~ (all_34_2 = e3)
% 169.16/25.58    (3)  all_54_8 = all_52_2
% 169.16/25.58    (4)  all_56_1 = all_52_4
% 169.16/25.58    (5)  op(all_4_2, e2) = e0
% 169.16/25.58    (6)  all_56_12 = all_52_3
% 169.16/25.58    (7)  op(e3, all_52_12) = all_58_3
% 169.16/25.58    (8)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 169.16/25.58    (9)  op(e1, all_52_14) = all_58_11
% 169.16/25.58    (10)   ~ (all_52_8 = all_52_12)
% 169.16/25.58    (11)   ~ (e3 = e1)
% 169.16/25.58    (12)  all_58_23 = all_52_7
% 169.16/25.58    (13)   ~ (all_52_2 = all_6_2)
% 169.16/25.58    (14)   ~ (all_52_3 = all_14_2)
% 169.16/25.58    (15)   ~ (all_52_4 = all_4_2)
% 169.16/25.58    (16)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 169.16/25.58    (17)  all_54_3 = all_52_12
% 169.16/25.58    (18)  all_56_5 = all_52_9
% 169.16/25.58    (19)   ~ (all_52_12 = all_6_2)
% 169.16/25.58    (20)   ~ (all_52_6 = all_4_2)
% 169.16/25.58    (21)  op(e1, e0) = all_52_14
% 169.16/25.58    (22)  all_56_15 = all_14_2
% 169.16/25.58    (23)  op(e0, e2) = all_52_7
% 169.16/25.58    (24)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 169.16/25.58    (25)   ~ (all_52_3 = all_52_7)
% 169.16/25.58    (26)   ~ (all_52_13 = all_4_2)
% 169.16/25.58    (27)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 169.16/25.58    (28)  op(e0, all_52_3) = all_58_12
% 169.16/25.58    (29)  all_56_8 = all_10_2
% 169.16/25.58    (30)  all_34_2 = all_10_2
% 169.16/25.58    (31)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 169.16/25.58    (32)   ~ (all_52_9 = e0)
% 169.16/25.58    (33)  all_58_26 = all_10_2
% 169.16/25.58    (34)  all_58_31 = all_14_2
% 169.16/25.58    (35)   ~ (all_52_3 = all_6_2)
% 169.16/25.58    (36)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 169.16/25.58    (37)   ~ (all_52_1 = all_6_2)
% 169.16/25.58    (38)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 169.16/25.58    (39)  all_54_2 = all_52_8
% 169.16/25.58    (40)  all_56_11 = all_52_14
% 169.16/25.58    (41)   ~ (all_52_6 = all_52_7)
% 169.16/25.58    (42)  all_56_0 = all_6_2
% 169.16/25.58    (43)  all_58_30 = all_52_14
% 169.16/25.58    (44)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 169.16/25.58    (45)  all_58_17 = all_52_1
% 169.16/25.58    (46)  op(e3, e1) = all_52_8
% 169.16/25.58    (47)  op(e2, all_4_2) = all_58_5
% 169.16/25.58    (48)  all_58_19 = all_52_3
% 169.16/25.58    (49)  all_56_9 = all_52_12
% 169.16/25.58    (50)   ~ (all_52_2 = all_52_6)
% 169.16/25.58    (51)  op(e2, e2) = all_4_2
% 169.16/25.58    (52)  op(e3, all_52_8) = all_58_2
% 169.16/25.58    (53)   ~ (all_52_4 = all_52_7)
% 169.16/25.58    (54)   ~ (all_52_6 = all_10_2)
% 169.16/25.58    (55)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 169.16/25.58    (56)   ~ (all_52_7 = all_14_2)
% 169.16/25.58    (57)   ~ (all_52_1 = all_4_2)
% 169.16/25.58    (58)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.16/25.58    (59)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 169.16/25.58    (60)  all_58_18 = all_52_2
% 169.16/25.58    (61)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 169.16/25.58    (62)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 169.16/25.58    (63)  all_58_16 = all_6_2
% 169.16/25.58    (64)  all_56_13 = all_52_7
% 169.16/25.58    (65)  op(e0, e3) = all_52_3
% 169.16/25.58    (66)   ~ (all_52_4 = all_6_2)
% 169.16/25.58    (67)  all_56_2 = all_52_1
% 169.16/25.58    (68)   ~ (e3 = e0)
% 169.16/25.58    (69)  all_58_29 = all_52_13
% 169.16/25.58    (70)   ~ (all_52_13 = e0)
% 169.16/25.58    (71)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 169.16/25.58    (72)   ~ (all_52_6 = all_52_14)
% 169.16/25.58    (73)   ~ (all_52_7 = all_4_2)
% 169.16/25.58    (74)  all_56_4 = all_52_8
% 169.16/25.58    (75)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.16/25.58    (76)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 169.16/25.58    (77)   ~ (all_52_1 = all_52_13)
% 169.16/25.58    (78)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 169.16/25.58    (79)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 169.16/25.58    (80)  all_58_20 = all_52_4
% 169.16/25.58    (81)  all_54_13 = all_52_7
% 169.16/25.58    (82)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 169.16/25.58    (83)  op(all_10_2, e1) = e0
% 169.16/25.58    (84)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 169.16/25.58    (85)   ~ (all_52_8 = all_6_2)
% 169.16/25.58    (86)  all_56_6 = all_52_2
% 169.16/25.58    (87)   ~ (all_52_7 = e0)
% 169.16/25.58    (88)   ~ (all_52_12 = all_52_14)
% 169.16/25.58    (89)  all_58_22 = all_52_6
% 169.16/25.58    (90)  all_58_27 = e0
% 169.16/25.58    (91)   ~ (all_52_4 = all_52_12)
% 169.16/25.58    (92)  all_56_3 = all_4_2
% 169.16/25.58    (93)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 169.16/25.58    (94)  all_54_0 = all_6_2
% 169.16/25.58    (95)   ~ (all_52_2 = all_52_3)
% 169.16/25.58    (96)   ~ (all_52_4 = all_52_8)
% 169.16/25.58    (97)   ~ (all_52_14 = all_14_2)
% 169.16/25.58    (98)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.16/25.58            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.16/25.58    (99)  all_54_12 = all_52_3
% 169.16/25.58    (100)   ~ (all_52_2 = all_52_14)
% 169.16/25.58    (101)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 169.16/25.58    (102)  all_58_21 = all_4_2
% 169.16/25.58    (103)  all_56_10 = all_52_13
% 169.16/25.58    (104)   ~ (e2 = e0)
% 169.16/25.58    (105)   ~ (all_52_1 = all_52_3)
% 169.16/25.58    (106)  all_58_28 = all_52_12
% 169.16/25.58    (107)   ~ (e1 = e0)
% 169.16/25.58    (108)  all_56_7 = all_52_6
% 169.16/25.58    (109)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 169.16/25.58             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 169.16/25.58             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 169.16/25.58             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 169.16/25.58             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 169.16/25.58             (all_58_15 = e0))
% 169.16/25.58    (110)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 169.16/25.58    (111)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 169.16/25.58           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 169.16/25.58           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 169.16/25.58           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 169.16/25.58           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 169.16/25.58           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 169.16/25.58           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 169.16/25.58           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 169.16/25.58           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 169.16/25.58           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 169.16/25.58             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 169.16/25.58             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 169.16/25.58             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 169.16/25.58             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 169.16/25.58             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 169.16/25.58             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 169.16/25.58             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 169.16/25.58             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 169.16/25.58             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 169.16/25.58             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 169.16/25.58             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 169.16/25.58             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 169.16/25.58             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 169.16/25.58             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 169.16/25.58             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 169.16/25.58             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 169.16/25.58           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 169.16/25.58           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 169.16/25.58           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 169.16/25.58             all_58_30 = e0 & e1 = e0)
% 169.16/25.58    (112)   ~ (all_52_2 = all_10_2)
% 169.16/25.58    (113)  all_56_0 = e3 | all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3
% 169.16/25.58    (114)   ~ (all_52_12 = all_52_13)
% 169.16/25.58  
% 169.16/25.58  Begin of proof
% 169.16/25.58  | 
% 169.16/25.58  | BETA: splitting (75) gives:
% 169.16/25.58  | 
% 169.16/25.58  | Case 1:
% 169.16/25.58  | | 
% 169.16/25.58  | |   (115)  all_56_2 = e0
% 169.16/25.58  | | 
% 169.16/25.58  | | COMBINE_EQS: (67), (115) imply:
% 169.16/25.58  | |   (116)  all_52_1 = e0
% 169.16/25.58  | | 
% 169.16/25.58  | | COMBINE_EQS: (45), (116) imply:
% 169.16/25.58  | |   (117)  all_58_17 = e0
% 169.16/25.58  | | 
% 169.16/25.58  | | REDUCE: (105), (116) imply:
% 169.16/25.58  | |   (118)   ~ (all_52_3 = e0)
% 169.16/25.58  | | 
% 169.16/25.58  | | SIMP: (118) implies:
% 169.16/25.58  | |   (119)   ~ (all_52_3 = e0)
% 169.16/25.58  | | 
% 169.16/25.58  | | REDUCE: (77), (116) imply:
% 169.16/25.58  | |   (120)   ~ (all_52_13 = e0)
% 169.16/25.58  | | 
% 169.16/25.58  | | REDUCE: (57), (116) imply:
% 169.16/25.58  | |   (121)   ~ (all_4_2 = e0)
% 169.16/25.58  | | 
% 169.16/25.58  | | SIMP: (121) implies:
% 169.16/25.58  | |   (122)   ~ (all_4_2 = e0)
% 169.16/25.58  | | 
% 169.16/25.58  | | BETA: splitting (62) gives:
% 169.16/25.58  | | 
% 169.16/25.58  | | Case 1:
% 169.16/25.58  | | | 
% 169.16/25.58  | | |   (123)  all_56_1 = e0
% 169.16/25.58  | | | 
% 169.16/25.58  | | | COMBINE_EQS: (4), (123) imply:
% 169.16/25.58  | | |   (124)  all_52_4 = e0
% 169.16/25.58  | | | 
% 169.16/25.58  | | | COMBINE_EQS: (80), (124) imply:
% 169.16/25.58  | | |   (125)  all_58_20 = e0
% 169.16/25.58  | | | 
% 169.16/25.58  | | | REDUCE: (53), (124) imply:
% 169.16/25.58  | | |   (126)   ~ (all_52_7 = e0)
% 169.16/25.58  | | | 
% 169.16/25.58  | | | REDUCE: (96), (124) imply:
% 169.16/25.58  | | |   (127)   ~ (all_52_8 = e0)
% 169.16/25.58  | | | 
% 169.16/25.58  | | | SIMP: (127) implies:
% 169.16/25.58  | | |   (128)   ~ (all_52_8 = e0)
% 169.16/25.58  | | | 
% 169.16/25.58  | | | REDUCE: (91), (124) imply:
% 169.16/25.58  | | |   (129)   ~ (all_52_12 = e0)
% 169.16/25.58  | | | 
% 169.16/25.58  | | | SIMP: (129) implies:
% 169.16/25.58  | | |   (130)   ~ (all_52_12 = e0)
% 169.16/25.58  | | | 
% 169.16/25.58  | | | REDUCE: (66), (124) imply:
% 169.16/25.58  | | |   (131)   ~ (all_6_2 = e0)
% 169.16/25.58  | | | 
% 169.16/25.58  | | | SIMP: (131) implies:
% 169.16/25.58  | | |   (132)   ~ (all_6_2 = e0)
% 169.16/25.58  | | | 
% 169.16/25.58  | | | BETA: splitting (101) gives:
% 169.16/25.58  | | | 
% 169.16/25.58  | | | Case 1:
% 169.16/25.58  | | | | 
% 169.16/25.58  | | | |   (133)  all_56_9 = e0
% 169.16/25.58  | | | | 
% 169.16/25.58  | | | | COMBINE_EQS: (49), (133) imply:
% 169.16/25.58  | | | |   (134)  all_52_12 = e0
% 169.16/25.58  | | | | 
% 169.16/25.58  | | | | REDUCE: (130), (134) imply:
% 169.16/25.58  | | | |   (135)  $false
% 169.16/25.58  | | | | 
% 169.16/25.58  | | | | CLOSE: (135) is inconsistent.
% 169.16/25.58  | | | | 
% 169.16/25.58  | | | Case 2:
% 169.16/25.58  | | | | 
% 169.16/25.58  | | | |   (136)  all_56_10 = e0 | all_56_11 = e0
% 169.16/25.58  | | | | 
% 169.16/25.58  | | | | REF_CLOSE: (2), (3), (6), (7), (8), (9), (10), (11), (12), (13), (16),
% 169.16/25.58  | | | |            (17), (19), (21), (24), (26), (28), (29), (30), (31), (34),
% 169.16/25.58  | | | |            (35), (36), (38), (39), (40), (42), (43), (46), (47), (48),
% 169.16/25.58  | | | |            (49), (50), (51), (52), (54), (58), (60), (61), (63), (65),
% 169.16/25.58  | | | |            (68), (69), (70), (71), (74), (76), (78), (79), (82), (83),
% 169.16/25.58  | | | |            (84), (85), (86), (87), (88), (89), (93), (94), (95), (97),
% 169.16/25.58  | | | |            (98), (99), (100), (102), (103), (104), (106), (107), (108),
% 169.16/25.58  | | | |            (109), (110), (114), (115), (117), (119), (122), (123),
% 169.16/25.58  | | | |            (125), (128), (132), (136) are inconsistent by sub-proof #55.
% 169.16/25.58  | | | | 
% 169.16/25.58  | | | End of split
% 169.16/25.58  | | | 
% 169.16/25.58  | | Case 2:
% 169.16/25.58  | | | 
% 169.16/25.58  | | |   (137)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 169.16/25.58  | | | 
% 169.16/25.58  | | | REF_CLOSE: (1), (5), (6), (8), (11), (12), (13), (14), (16), (19), (20),
% 169.16/25.58  | | |            (22), (25), (27), (31), (33), (34), (35), (37), (40), (41),
% 169.16/25.58  | | |            (42), (43), (44), (45), (47), (48), (49), (50), (51), (55),
% 169.16/25.58  | | |            (56), (58), (59), (60), (61), (63), (64), (66), (68), (69),
% 169.16/25.58  | | |            (70), (72), (73), (80), (81), (84), (86), (87), (89), (90),
% 169.16/25.58  | | |            (92), (94), (95), (98), (100), (101), (102), (103), (104),
% 169.16/25.58  | | |            (106), (107), (108), (111), (112), (113), (114), (115), (117),
% 169.16/25.58  | | |            (119), (122), (137) are inconsistent by sub-proof #89.
% 169.16/25.58  | | | 
% 169.16/25.58  | | End of split
% 169.16/25.58  | | 
% 169.16/25.58  | Case 2:
% 169.16/25.58  | | 
% 169.16/25.58  | |   (138)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.16/25.58  | | 
% 169.16/25.58  | | REF_CLOSE: (5), (18), (23), (32), (70), (73), (92), (98), (103), (138) are
% 169.16/25.58  | |            inconsistent by sub-proof #127.
% 169.16/25.58  | | 
% 169.16/25.58  | End of split
% 169.16/25.58  | 
% 169.16/25.58  End of proof
% 169.16/25.58  
% 169.16/25.58  Sub-proof #5 shows that the following formulas are inconsistent:
% 169.16/25.58  ----------------------------------------------------------------
% 169.16/25.58    (1)   ~ (all_52_12 = all_14_2)
% 169.16/25.58    (2)  all_56_1 = all_52_4
% 169.16/25.58    (3)   ~ (e3 = e1)
% 169.16/25.59    (4)   ~ (all_52_4 = all_4_2)
% 169.16/25.59    (5)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 169.16/25.59    (6)  all_56_5 = all_52_9
% 169.16/25.59    (7)  op(all_6_2, e3) = all_6_1
% 169.16/25.59    (8)   ~ (all_52_12 = all_6_2)
% 169.16/25.59    (9)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 169.16/25.59    (10)   ~ (all_52_6 = all_4_2)
% 169.16/25.59    (11)  op(e3, all_6_2) = all_58_0
% 169.16/25.59    (12)  all_56_15 = all_14_2
% 169.16/25.59    (13)  all_54_1 = all_52_4
% 169.16/25.59    (14)   ~ (all_52_9 = all_4_2)
% 169.16/25.59    (15)   ~ (all_52_13 = all_4_2)
% 169.16/25.59    (16)  all_56_8 = all_10_2
% 169.16/25.59    (17)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 169.16/25.59    (18)  all_58_26 = all_10_2
% 169.16/25.59    (19)   ~ (all_52_4 = all_52_6)
% 169.16/25.59    (20)  all_58_31 = all_14_2
% 169.16/25.59    (21)   ~ (all_52_9 = all_52_13)
% 169.16/25.59    (22)   ~ (all_52_3 = all_6_2)
% 169.16/25.59    (23)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 169.16/25.59    (24)   ~ (all_52_4 = e0)
% 169.16/25.59    (25)  op(all_6_1, all_6_2) = e0
% 169.16/25.59    (26)  all_58_18 = e0
% 169.16/25.59    (27)   ~ (all_52_1 = all_6_2)
% 169.16/25.59    (28)  all_56_11 = all_52_14
% 169.16/25.59    (29)  all_56_0 = all_6_2
% 169.16/25.59    (30)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 169.16/25.59    (31)  all_58_30 = all_52_14
% 169.16/25.59    (32)  all_58_27 = all_52_11
% 169.16/25.59    (33)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 169.16/25.59    (34)  all_58_17 = all_52_1
% 169.16/25.59    (35)  all_58_19 = all_52_3
% 169.16/25.59    (36)  all_56_9 = all_52_12
% 169.16/25.59    (37)   ~ (e3 = e2)
% 169.16/25.59    (38)   ~ (e2 = e1)
% 169.16/25.59    (39)   ~ (all_52_6 = all_10_2)
% 169.16/25.59    (40)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 169.16/25.59    (41)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 169.16/25.59    (42)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 169.16/25.59    (43)   ~ (all_52_13 = all_14_2)
% 169.16/25.59    (44)   ~ (all_52_1 = all_4_2)
% 169.16/25.59    (45)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 169.16/25.59    (46)  all_54_9 = all_52_6
% 169.16/25.59    (47)   ~ (all_52_13 = all_52_14)
% 169.16/25.59    (48)  all_58_16 = all_6_2
% 169.16/25.59    (49)   ~ (all_52_8 = all_52_9)
% 169.16/25.59    (50)   ~ (all_52_4 = all_6_2)
% 169.16/25.59    (51)  all_56_2 = all_52_1
% 169.16/25.59    (52)   ~ (e3 = e0)
% 169.16/25.59    (53)  all_58_29 = all_52_13
% 169.16/25.59    (54)   ~ (all_4_2 = e0)
% 169.16/25.59    (55)   ~ (all_6_2 = e0)
% 169.16/25.59    (56)   ~ (all_52_6 = all_52_14)
% 169.16/25.59    (57)   ~ (all_52_8 = all_10_2)
% 169.16/25.59    (58)  all_56_4 = all_52_8
% 169.16/25.59    (59)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.16/25.59    (60)   ~ (all_52_1 = all_52_13)
% 169.16/25.59    (61)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 169.16/25.59    (62)   ~ (all_52_8 = all_6_2)
% 169.16/25.59    (63)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 169.16/25.59    (64)   ~ (all_52_1 = all_52_9)
% 169.16/25.59    (65)  op(e3, e3) = all_6_2
% 169.16/25.59    (66)  all_56_6 = e0
% 169.16/25.59    (67)  all_56_13 = e0
% 169.16/25.59    (68)  all_58_24 = all_52_8
% 169.16/25.59    (69)   ~ (all_52_12 = all_52_14)
% 169.16/25.59    (70)   ~ (all_52_9 = all_52_11)
% 169.16/25.59    (71)  all_58_22 = all_52_6
% 169.16/25.59    (72)   ~ (all_52_4 = all_52_12)
% 169.16/25.59    (73)  all_56_3 = all_4_2
% 169.16/25.59    (74)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 169.16/25.59    (75)   ~ (all_52_14 = all_10_2)
% 169.16/25.59    (76)   ~ (all_52_1 = e0)
% 169.16/25.59    (77)   ~ (all_52_4 = all_52_8)
% 169.16/25.59    (78)   ~ (all_52_14 = all_14_2)
% 169.16/25.59    (79)  all_58_25 = all_52_9
% 169.16/25.59    (80)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 169.16/25.59    (81)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.16/25.59            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.16/25.59    (82)   ~ (all_52_6 = e0)
% 169.16/25.59    (83)  all_54_12 = all_52_3
% 169.16/25.59    (84)  all_58_21 = all_4_2
% 169.16/25.59    (85)  all_56_10 = all_52_13
% 169.16/25.59    (86)   ~ (all_52_3 = e0)
% 169.16/25.59    (87)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 169.16/25.59    (88)   ~ (e2 = e0)
% 169.16/25.59    (89)   ~ (all_52_1 = all_52_3)
% 169.16/25.59    (90)  all_58_28 = all_52_12
% 169.16/25.59    (91)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 169.16/25.59    (92)   ~ (e1 = e0)
% 169.16/25.59    (93)  all_56_7 = all_52_6
% 169.16/25.59    (94)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 169.16/25.59    (95)   ~ (all_52_8 = e0)
% 169.16/25.59    (96)  all_54_5 = all_4_2
% 169.16/25.59    (97)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 169.16/25.59          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 169.16/25.59          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 169.16/25.59          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 169.16/25.59          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 169.16/25.59          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 169.16/25.59          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 169.16/25.59          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 169.16/25.59          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 169.16/25.59          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 169.16/25.59            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 169.16/25.59            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 169.16/25.59            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 169.16/25.59            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 169.16/25.59            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 169.16/25.59            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 169.16/25.59            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 169.16/25.59            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 169.16/25.59            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 169.16/25.59            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 169.16/25.59            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 169.16/25.59            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 169.16/25.59            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 169.16/25.59            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 169.16/25.59            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 169.16/25.59            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 169.16/25.59          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 169.16/25.59          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 169.16/25.59          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 169.16/25.59            all_58_30 = e0 & e1 = e0)
% 169.16/25.59    (98)  all_54_7 = all_52_13
% 169.16/25.59    (99)  all_58_23 = e0
% 169.16/25.59    (100)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 169.16/25.59    (101)   ~ (all_52_12 = all_52_13)
% 169.16/25.59  
% 169.16/25.59  Begin of proof
% 169.16/25.59  | 
% 169.16/25.59  | BETA: splitting (61) gives:
% 169.16/25.59  | 
% 169.16/25.59  | Case 1:
% 169.16/25.59  | | 
% 169.16/25.59  | |   (102)  all_54_12 = e0
% 169.16/25.59  | | 
% 169.16/25.59  | | REF_CLOSE: (83), (86), (102) are inconsistent by sub-proof #559.
% 169.16/25.59  | | 
% 169.16/25.59  | Case 2:
% 169.16/25.59  | | 
% 169.16/25.59  | |   (103)   ~ (all_54_12 = e0)
% 169.16/25.59  | |   (104)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 169.16/25.59  | | 
% 169.16/25.59  | | BETA: splitting (9) gives:
% 169.16/25.59  | | 
% 169.16/25.59  | | Case 1:
% 169.16/25.59  | | | 
% 169.16/25.59  | | |   (105)  all_54_5 = e0
% 169.16/25.59  | | | 
% 169.16/25.59  | | | REF_CLOSE: (54), (96), (105) are inconsistent by sub-proof #983.
% 169.16/25.59  | | | 
% 169.16/25.59  | | Case 2:
% 169.16/25.59  | | | 
% 169.16/25.59  | | |   (106)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 169.16/25.59  | | | 
% 169.16/25.59  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 169.16/25.59  | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 169.16/25.59  | | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33),
% 169.16/25.59  | | |            (34), (35), (36), (37), (38), (39), (40), (41), (42), (43),
% 169.16/25.59  | | |            (44), (45), (46), (47), (48), (49), (50), (51), (52), (53),
% 169.16/25.59  | | |            (54), (55), (56), (57), (58), (59), (60), (62), (63), (64),
% 169.16/25.59  | | |            (65), (66), (67), (68), (69), (70), (71), (72), (73), (74),
% 169.16/25.59  | | |            (75), (76), (77), (78), (79), (80), (81), (82), (83), (84),
% 169.16/25.59  | | |            (85), (86), (87), (88), (89), (90), (91), (92), (93), (94),
% 169.16/25.59  | | |            (95), (96), (97), (98), (99), (100), (101), (104), (106) are
% 169.16/25.59  | | |            inconsistent by sub-proof #194.
% 169.16/25.59  | | | 
% 169.16/25.59  | | End of split
% 169.16/25.59  | | 
% 169.16/25.59  | End of split
% 169.16/25.59  | 
% 169.16/25.59  End of proof
% 169.16/25.59  
% 169.16/25.59  Sub-proof #6 shows that the following formulas are inconsistent:
% 169.16/25.59  ----------------------------------------------------------------
% 169.16/25.59    (1)   ~ (all_52_12 = all_14_2)
% 169.16/25.59    (2)  all_54_8 = all_52_2
% 169.16/25.59    (3)  op(all_4_2, e2) = e0
% 169.16/25.59    (4)  op(e1, e3) = all_52_2
% 169.16/25.59    (5)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 169.16/25.59    (6)   ~ (all_52_8 = all_52_12)
% 169.16/25.59    (7)   ~ (e3 = e1)
% 169.16/25.59    (8)  all_58_23 = all_52_7
% 169.16/25.59    (9)   ~ (all_52_2 = all_6_2)
% 169.16/25.59    (10)  all_8_2 = all_6_2
% 169.16/25.59    (11)  op(all_6_2, e3) = all_6_1
% 169.16/25.59    (12)   ~ (all_52_12 = all_6_2)
% 169.16/25.59    (13)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 169.16/25.59    (14)   ~ (all_52_6 = all_4_2)
% 169.16/25.59    (15)  all_56_15 = all_14_2
% 169.16/25.59    (16)   ~ (all_52_11 = all_14_2)
% 169.16/25.59    (17)   ~ (all_14_2 = e0)
% 169.16/25.59    (18)  all_56_14 = all_52_11
% 169.16/25.59    (19)   ~ (all_52_13 = all_4_2)
% 169.16/25.59    (20)  all_56_12 = e0
% 169.16/25.59    (21)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 169.16/25.59    (22)  all_58_30 = e0
% 169.16/25.59    (23)  all_58_26 = all_10_2
% 169.16/25.59    (24)  all_58_31 = all_14_2
% 169.16/25.59    (25)   ~ (all_52_11 = all_10_2)
% 169.16/25.59    (26)  all_58_25 = e0
% 169.16/25.59    (27)   ~ (all_52_1 = all_6_2)
% 169.16/25.59    (28)   ~ (all_52_6 = all_52_7)
% 169.16/25.59    (29)  all_56_0 = all_6_2
% 169.16/25.59    (30)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 169.16/25.59    (31)  all_58_27 = all_52_11
% 169.16/25.59    (32)  all_54_14 = all_52_11
% 169.16/25.59    (33)  all_58_17 = all_52_1
% 169.16/25.59    (34)  op(e2, all_4_2) = all_58_5
% 169.16/25.59    (35)  all_58_20 = e0
% 169.16/25.59    (36)  all_56_9 = all_52_12
% 169.16/25.59    (37)   ~ (all_52_2 = all_52_6)
% 169.16/25.59    (38)  op(e2, e2) = all_4_2
% 169.16/25.59    (39)   ~ (all_52_6 = all_10_2)
% 169.16/25.59    (40)   ~ (all_52_2 = e0)
% 169.16/25.59    (41)   ~ (all_52_7 = all_14_2)
% 169.16/25.59    (42)  all_56_1 = e0
% 169.16/25.59    (43)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 169.16/25.59    (44)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 169.16/25.59    (45)   ~ (all_52_13 = all_14_2)
% 169.16/25.59    (46)   ~ (all_52_1 = all_4_2)
% 169.16/25.59    (47)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.16/25.59    (48)  all_58_19 = e0
% 169.16/25.59    (49)  all_58_16 = all_6_2
% 169.16/25.59    (50)  all_56_13 = all_52_7
% 169.16/25.59    (51)   ~ (all_52_12 = e0)
% 169.16/25.59    (52)  all_56_2 = all_52_1
% 169.16/25.59    (53)   ~ (e3 = e0)
% 169.16/25.59    (54)  all_58_29 = all_52_13
% 169.16/25.59    (55)   ~ (all_52_1 = all_52_2)
% 169.16/25.59    (56)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 169.16/25.59    (57)   ~ (all_52_13 = e0)
% 169.16/25.59    (58)   ~ (all_4_2 = e0)
% 169.16/25.59    (59)   ~ (all_6_2 = e0)
% 169.16/25.59    (60)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 169.16/25.59    (61)   ~ (all_52_8 = all_10_2)
% 169.16/25.59    (62)  all_56_4 = all_52_8
% 169.16/25.59    (63)   ~ (all_52_1 = all_52_13)
% 169.16/25.59    (64)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 169.16/25.59    (65)  all_58_20 = all_52_4
% 169.16/25.59    (66)  all_54_13 = all_52_7
% 169.16/25.59    (67)  all_54_15 = all_14_2
% 169.16/25.59    (68)   ~ (all_52_7 = all_52_11)
% 169.16/25.59    (69)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 169.16/25.59    (70)   ~ (all_52_8 = all_52_11)
% 169.16/25.59    (71)   ~ (all_52_8 = all_6_2)
% 169.16/25.59    (72)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 169.16/25.59    (73)  all_56_6 = all_52_2
% 169.16/25.59    (74)   ~ (all_52_7 = e0)
% 169.16/25.59    (75)  all_58_24 = all_52_8
% 169.16/25.59    (76)  all_58_22 = all_52_6
% 169.16/25.59    (77)  all_56_3 = all_4_2
% 169.16/25.59    (78)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 169.16/25.59    (79)  all_54_0 = all_6_2
% 169.16/25.59    (80)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 169.16/25.59    (81)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 169.16/25.59    (82)   ~ (all_52_11 = e0)
% 169.16/25.59    (83)   ~ (all_52_1 = e0)
% 169.16/25.59    (84)   ~ (all_52_4 = all_52_8)
% 169.16/25.59    (85)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.16/25.59            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.16/25.59    (86)   ~ (all_52_6 = e0)
% 169.16/25.59    (87)  all_58_21 = all_4_2
% 169.16/25.59    (88)   ~ (e2 = e0)
% 169.16/25.59    (89)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 169.16/25.59    (90)  all_8_1 = all_6_1
% 169.16/25.59    (91)  all_58_28 = all_52_12
% 169.16/25.59    (92)   ~ (e1 = e0)
% 169.16/25.59    (93)  all_54_4 = all_52_1
% 169.16/25.59    (94)  all_56_7 = all_52_6
% 169.16/25.59    (95)  all_54_5 = all_4_2
% 169.16/25.59    (96)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 169.16/25.59    (97)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 169.16/25.59    (98)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 169.16/25.59          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 169.16/25.59          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 169.16/25.59          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 169.16/25.59          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 169.16/25.59          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 169.16/25.59          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 169.16/25.59          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 169.16/25.59          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 169.16/25.59          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 169.16/25.59            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 169.16/25.59            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 169.16/25.59            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 169.16/25.59            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 169.16/25.59            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 169.16/25.59            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 169.16/25.59            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 169.16/25.59            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 169.16/25.59            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 169.16/25.59            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 169.16/25.59            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 169.16/25.59            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 169.16/25.59            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 169.16/25.59            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 169.16/25.59            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 169.16/25.59            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 169.16/25.59          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 169.16/25.59          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 169.16/25.59          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 169.16/25.59            all_58_30 = e0 & e1 = e0)
% 169.16/25.59    (99)  all_54_7 = all_52_13
% 169.16/25.59  
% 169.16/25.59  Begin of proof
% 169.16/25.59  | 
% 169.16/25.59  | BETA: splitting (60) gives:
% 169.16/25.59  | 
% 169.16/25.59  | Case 1:
% 169.16/25.59  | | 
% 169.16/25.59  | |   (100)  all_54_8 = e0
% 169.16/25.59  | | 
% 169.16/25.59  | | REF_CLOSE: (2), (40), (100) are inconsistent by sub-proof #839.
% 169.16/25.59  | | 
% 169.16/25.59  | Case 2:
% 169.16/25.59  | | 
% 169.16/25.59  | |   (101)   ~ (all_54_8 = e0)
% 169.16/25.59  | |   (102)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 169.16/25.59  | | 
% 169.16/25.59  | | BETA: splitting (5) gives:
% 169.16/25.59  | | 
% 169.16/25.59  | | Case 1:
% 169.16/25.59  | | | 
% 169.16/25.59  | | |   (103)  all_54_0 = e0
% 169.16/25.59  | | | 
% 169.16/25.59  | | | REF_CLOSE: (59), (79), (103) are inconsistent by sub-proof #984.
% 169.16/25.59  | | | 
% 169.16/25.59  | | Case 2:
% 169.16/25.59  | | | 
% 169.16/25.59  | | |   (104)   ~ (all_54_0 = e0)
% 169.16/25.59  | | |   (105)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 169.16/25.59  | | | 
% 169.16/25.59  | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 169.16/25.59  | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 169.16/25.59  | | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33),
% 169.16/25.59  | | |            (34), (35), (36), (37), (38), (39), (40), (41), (42), (43),
% 169.16/25.59  | | |            (44), (45), (46), (47), (48), (49), (50), (51), (52), (53),
% 169.16/25.59  | | |            (54), (55), (56), (57), (58), (59), (61), (62), (63), (64),
% 169.16/25.59  | | |            (65), (66), (67), (68), (69), (70), (71), (72), (73), (74),
% 169.16/25.59  | | |            (75), (76), (77), (78), (79), (80), (81), (82), (83), (84),
% 169.16/25.59  | | |            (85), (86), (87), (88), (89), (90), (91), (92), (93), (94),
% 169.16/25.59  | | |            (95), (96), (97), (98), (99), (102), (105) are inconsistent by
% 169.16/25.59  | | |            sub-proof #7.
% 169.16/25.59  | | | 
% 169.16/25.59  | | End of split
% 169.16/25.59  | | 
% 169.16/25.59  | End of split
% 169.16/25.59  | 
% 169.16/25.59  End of proof
% 169.16/25.59  
% 169.16/25.59  Sub-proof #7 shows that the following formulas are inconsistent:
% 169.16/25.59  ----------------------------------------------------------------
% 169.16/25.59    (1)   ~ (all_52_12 = all_14_2)
% 169.16/25.59    (2)  all_54_8 = all_52_2
% 169.16/25.59    (3)  op(all_4_2, e2) = e0
% 169.16/25.59    (4)  op(e1, e3) = all_52_2
% 169.16/25.59    (5)   ~ (all_52_8 = all_52_12)
% 169.16/25.59    (6)   ~ (e3 = e1)
% 169.16/25.59    (7)  all_58_23 = all_52_7
% 169.16/25.59    (8)   ~ (all_52_2 = all_6_2)
% 169.16/25.59    (9)  all_8_2 = all_6_2
% 169.16/25.59    (10)  op(all_6_2, e3) = all_6_1
% 169.16/25.59    (11)   ~ (all_52_12 = all_6_2)
% 169.16/25.59    (12)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 169.16/25.59    (13)   ~ (all_52_6 = all_4_2)
% 169.16/25.59    (14)  all_56_15 = all_14_2
% 169.16/25.59    (15)   ~ (all_52_11 = all_14_2)
% 169.16/25.59    (16)   ~ (all_14_2 = e0)
% 169.16/25.59    (17)  all_56_14 = all_52_11
% 169.16/25.59    (18)   ~ (all_52_13 = all_4_2)
% 169.16/25.59    (19)  all_56_12 = e0
% 169.16/25.59    (20)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 169.16/25.59    (21)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 169.16/25.59    (22)  all_58_30 = e0
% 169.16/25.59    (23)  all_58_26 = all_10_2
% 169.16/25.59    (24)  all_58_31 = all_14_2
% 169.16/25.59    (25)   ~ (all_52_11 = all_10_2)
% 169.16/25.59    (26)  all_58_25 = e0
% 169.16/25.59    (27)   ~ (all_52_1 = all_6_2)
% 169.16/25.59    (28)   ~ (all_52_6 = all_52_7)
% 169.16/25.59    (29)  all_56_0 = all_6_2
% 169.16/25.59    (30)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 169.16/25.59    (31)  all_58_27 = all_52_11
% 169.16/25.59    (32)  all_54_14 = all_52_11
% 169.16/25.59    (33)  all_58_17 = all_52_1
% 169.16/25.59    (34)  op(e2, all_4_2) = all_58_5
% 169.16/25.59    (35)  all_58_20 = e0
% 169.16/25.59    (36)  all_56_9 = all_52_12
% 169.16/25.59    (37)   ~ (all_52_2 = all_52_6)
% 169.16/25.59    (38)  op(e2, e2) = all_4_2
% 169.16/25.59    (39)   ~ (all_52_6 = all_10_2)
% 169.16/25.59    (40)   ~ (all_52_2 = e0)
% 169.16/25.59    (41)   ~ (all_52_7 = all_14_2)
% 169.16/25.59    (42)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 169.16/25.59    (43)  all_56_1 = e0
% 169.16/25.59    (44)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 169.16/25.59    (45)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 169.16/25.59    (46)   ~ (all_52_13 = all_14_2)
% 169.16/25.59    (47)   ~ (all_52_1 = all_4_2)
% 169.16/25.59    (48)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.16/25.59    (49)  all_58_19 = e0
% 169.16/25.59    (50)  all_58_16 = all_6_2
% 169.16/25.59    (51)  all_56_13 = all_52_7
% 169.16/25.59    (52)   ~ (all_52_12 = e0)
% 169.16/25.59    (53)  all_56_2 = all_52_1
% 169.16/25.59    (54)   ~ (e3 = e0)
% 169.16/25.59    (55)  all_58_29 = all_52_13
% 169.16/25.59    (56)   ~ (all_52_1 = all_52_2)
% 169.16/25.59    (57)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 169.16/25.59    (58)   ~ (all_52_13 = e0)
% 169.16/25.59    (59)   ~ (all_4_2 = e0)
% 169.16/25.59    (60)   ~ (all_6_2 = e0)
% 169.16/25.59    (61)   ~ (all_52_8 = all_10_2)
% 169.16/25.59    (62)  all_56_4 = all_52_8
% 169.16/25.59    (63)   ~ (all_52_1 = all_52_13)
% 169.16/25.59    (64)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 169.16/25.59    (65)  all_58_20 = all_52_4
% 169.16/25.59    (66)  all_54_13 = all_52_7
% 169.16/25.59    (67)  all_54_15 = all_14_2
% 169.16/25.59    (68)   ~ (all_52_7 = all_52_11)
% 169.16/25.59    (69)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 169.16/25.59    (70)   ~ (all_52_8 = all_52_11)
% 169.16/25.59    (71)   ~ (all_52_8 = all_6_2)
% 169.16/25.59    (72)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 169.16/25.59    (73)  all_56_6 = all_52_2
% 169.16/25.59    (74)   ~ (all_52_7 = e0)
% 169.16/25.59    (75)  all_58_24 = all_52_8
% 169.16/25.59    (76)  all_58_22 = all_52_6
% 169.16/25.59    (77)  all_56_3 = all_4_2
% 169.16/25.59    (78)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 169.16/25.59    (79)  all_54_0 = all_6_2
% 169.16/25.59    (80)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 169.16/25.59    (81)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 169.16/25.59    (82)   ~ (all_52_11 = e0)
% 169.16/25.60    (83)   ~ (all_52_1 = e0)
% 169.16/25.60    (84)   ~ (all_52_4 = all_52_8)
% 169.16/25.60    (85)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.16/25.60            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.16/25.60    (86)   ~ (all_52_6 = e0)
% 169.16/25.60    (87)  all_58_21 = all_4_2
% 169.16/25.60    (88)   ~ (e2 = e0)
% 169.16/25.60    (89)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 169.16/25.60    (90)  all_8_1 = all_6_1
% 169.16/25.60    (91)  all_58_28 = all_52_12
% 169.16/25.60    (92)   ~ (e1 = e0)
% 169.16/25.60    (93)  all_54_4 = all_52_1
% 169.16/25.60    (94)  all_56_7 = all_52_6
% 169.16/25.60    (95)  all_54_5 = all_4_2
% 169.16/25.60    (96)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 169.16/25.60    (97)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 169.16/25.60    (98)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 169.16/25.60          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 169.16/25.60          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 169.16/25.60          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 169.16/25.60          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 169.16/25.60          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 169.16/25.60          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 169.16/25.60          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 169.16/25.60          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 169.16/25.60          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 169.16/25.60            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 169.16/25.60            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 169.16/25.60            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 169.16/25.60            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 169.16/25.60            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 169.16/25.60            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 169.16/25.60            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 169.16/25.60            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 169.16/25.60            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 169.16/25.60            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 169.16/25.60            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 169.16/25.60            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 169.16/25.60            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 169.16/25.60            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 169.16/25.60            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 169.16/25.60            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 169.16/25.60          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 169.16/25.60          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 169.16/25.60          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 169.16/25.60            all_58_30 = e0 & e1 = e0)
% 169.16/25.60    (99)  all_54_7 = all_52_13
% 169.16/25.60  
% 169.16/25.60  Begin of proof
% 169.16/25.60  | 
% 169.16/25.60  | BETA: splitting (72) gives:
% 169.16/25.60  | 
% 169.16/25.60  | Case 1:
% 169.16/25.60  | | 
% 169.16/25.60  | |   (100)  all_54_4 = e0
% 169.16/25.60  | | 
% 169.16/25.60  | | REF_CLOSE: (83), (93), (100) are inconsistent by sub-proof #902.
% 169.16/25.60  | | 
% 169.16/25.60  | Case 2:
% 169.16/25.60  | | 
% 169.16/25.60  | |   (101)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 169.16/25.60  | | 
% 169.16/25.60  | | BETA: splitting (12) gives:
% 169.16/25.60  | | 
% 169.16/25.60  | | Case 1:
% 169.16/25.60  | | | 
% 169.16/25.60  | | |   (102)  all_54_5 = e0
% 169.16/25.60  | | | 
% 169.16/25.60  | | | REF_CLOSE: (59), (95), (102) are inconsistent by sub-proof #983.
% 169.16/25.60  | | | 
% 169.16/25.60  | | Case 2:
% 169.16/25.60  | | | 
% 169.16/25.60  | | |   (103)   ~ (all_54_5 = e0)
% 169.16/25.60  | | |   (104)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 169.16/25.60  | | | 
% 169.16/25.60  | | | BETA: splitting (30) gives:
% 169.16/25.60  | | | 
% 169.16/25.60  | | | Case 1:
% 169.16/25.60  | | | | 
% 169.16/25.60  | | | |   (105)  all_58_27 = e0
% 169.16/25.60  | | | | 
% 169.16/25.60  | | | | COMBINE_EQS: (31), (105) imply:
% 169.16/25.60  | | | |   (106)  all_52_11 = e0
% 169.16/25.60  | | | | 
% 169.16/25.60  | | | | REDUCE: (82), (106) imply:
% 169.16/25.60  | | | |   (107)  $false
% 169.16/25.60  | | | | 
% 169.16/25.60  | | | | CLOSE: (107) is inconsistent.
% 169.16/25.60  | | | | 
% 169.16/25.60  | | | Case 2:
% 169.16/25.60  | | | | 
% 169.16/25.60  | | | |   (108)   ~ (all_58_27 = e0)
% 169.16/25.60  | | | |   (109)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 169.16/25.60  | | | | 
% 169.16/25.60  | | | | BETA: splitting (20) gives:
% 169.16/25.60  | | | | 
% 169.16/25.60  | | | | Case 1:
% 169.16/25.60  | | | | | 
% 169.16/25.60  | | | | |   (110)  all_58_31 = e0
% 169.16/25.60  | | | | | 
% 169.16/25.60  | | | | | COMBINE_EQS: (24), (110) imply:
% 169.16/25.60  | | | | |   (111)  all_14_2 = e0
% 169.16/25.60  | | | | | 
% 169.16/25.60  | | | | | REDUCE: (16), (111) imply:
% 169.16/25.60  | | | | |   (112)  $false
% 169.16/25.60  | | | | | 
% 169.16/25.60  | | | | | CLOSE: (112) is inconsistent.
% 169.16/25.60  | | | | | 
% 169.16/25.60  | | | | Case 2:
% 169.16/25.60  | | | | | 
% 169.16/25.60  | | | | |   (113)   ~ (all_58_31 = e0)
% 169.16/25.60  | | | | |   (114)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 169.16/25.60  | | | | | 
% 169.16/25.60  | | | | | BETA: splitting (69) gives:
% 169.16/25.60  | | | | | 
% 169.16/25.60  | | | | | Case 1:
% 169.16/25.60  | | | | | | 
% 169.16/25.60  | | | | | |   (115)  all_58_23 = e0
% 169.16/25.60  | | | | | | 
% 169.16/25.60  | | | | | | COMBINE_EQS: (7), (115) imply:
% 169.16/25.60  | | | | | |   (116)  all_52_7 = e0
% 169.16/25.60  | | | | | | 
% 169.16/25.60  | | | | | | REDUCE: (74), (116) imply:
% 169.16/25.60  | | | | | |   (117)  $false
% 169.16/25.60  | | | | | | 
% 169.16/25.60  | | | | | | CLOSE: (117) is inconsistent.
% 169.16/25.60  | | | | | | 
% 169.16/25.60  | | | | | Case 2:
% 169.16/25.60  | | | | | | 
% 169.16/25.60  | | | | | |   (118)   ~ (all_58_23 = e0)
% 169.16/25.60  | | | | | |   (119)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 169.16/25.60  | | | | | | 
% 169.16/25.60  | | | | | | BETA: splitting (64) gives:
% 169.16/25.60  | | | | | | 
% 169.16/25.60  | | | | | | Case 1:
% 169.16/25.60  | | | | | | | 
% 169.16/25.60  | | | | | | |   (120)  all_56_4 = e1
% 169.16/25.60  | | | | | | | 
% 169.16/25.60  | | | | | | | REF_CLOSE: (6), (23), (26), (61), (62), (75), (88), (109), (120)
% 169.16/25.60  | | | | | | |            are inconsistent by sub-proof #965.
% 169.16/25.60  | | | | | | | 
% 169.16/25.60  | | | | | | Case 2:
% 169.16/25.60  | | | | | | | 
% 169.16/25.60  | | | | | | |   (121)   ~ (all_56_4 = e1)
% 169.16/25.60  | | | | | | | 
% 169.16/25.60  | | | | | | | REDUCE: (62), (121) imply:
% 169.16/25.60  | | | | | | |   (122)   ~ (all_52_8 = e1)
% 169.16/25.60  | | | | | | | 
% 169.16/25.60  | | | | | | | BETA: splitting (78) gives:
% 169.16/25.60  | | | | | | | 
% 169.16/25.60  | | | | | | | Case 1:
% 169.16/25.60  | | | | | | | | 
% 169.16/25.60  | | | | | | | |   (123)  all_56_0 = e1
% 169.16/25.60  | | | | | | | | 
% 169.16/25.60  | | | | | | | | COMBINE_EQS: (29), (123) imply:
% 169.16/25.60  | | | | | | | |   (124)  all_6_2 = e1
% 169.16/25.60  | | | | | | | | 
% 169.16/25.60  | | | | | | | | COMBINE_EQS: (9), (124) imply:
% 169.16/25.60  | | | | | | | |   (125)  all_8_2 = e1
% 169.16/25.60  | | | | | | | | 
% 169.16/25.60  | | | | | | | | REDUCE: (27), (124) imply:
% 169.16/25.60  | | | | | | | |   (126)   ~ (all_52_1 = e1)
% 169.16/25.60  | | | | | | | | 
% 169.16/25.60  | | | | | | | | REDUCE: (8), (124) imply:
% 169.16/25.60  | | | | | | | |   (127)   ~ (all_52_2 = e1)
% 169.16/25.60  | | | | | | | | 
% 169.16/25.60  | | | | | | | | REDUCE: (10), (124) imply:
% 169.16/25.60  | | | | | | | |   (128)  op(e1, e3) = all_6_1
% 169.16/25.60  | | | | | | | | 
% 169.16/25.60  | | | | | | | | BETA: splitting (97) gives:
% 169.16/25.60  | | | | | | | | 
% 169.16/25.60  | | | | | | | | Case 1:
% 169.16/25.60  | | | | | | | | | 
% 169.16/25.60  | | | | | | | | |   (129)   ~ (all_8_2 = e1)
% 169.16/25.60  | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | REDUCE: (125), (129) imply:
% 169.16/25.60  | | | | | | | | |   (130)  $false
% 169.16/25.60  | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | CLOSE: (130) is inconsistent.
% 169.16/25.60  | | | | | | | | | 
% 169.16/25.60  | | | | | | | | Case 2:
% 169.16/25.60  | | | | | | | | | 
% 169.16/25.60  | | | | | | | | |   (131)   ~ (all_8_1 = e2)
% 169.16/25.60  | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | REDUCE: (90), (131) imply:
% 169.16/25.60  | | | | | | | | |   (132)   ~ (all_6_1 = e2)
% 169.16/25.60  | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | GROUND_INST: instantiating (85) with all_52_2, all_6_1, e3, e1,
% 169.16/25.60  | | | | | | | | |              simplifying with (4), (128) gives:
% 169.16/25.60  | | | | | | | | |   (133)  all_52_2 = all_6_1
% 169.16/25.60  | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | COMBINE_EQS: (2), (133) imply:
% 169.16/25.60  | | | | | | | | |   (134)  all_54_8 = all_6_1
% 169.16/25.60  | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | REDUCE: (56), (133) imply:
% 169.16/25.60  | | | | | | | | |   (135)   ~ (all_52_1 = all_6_1)
% 169.16/25.60  | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | REDUCE: (127), (133) imply:
% 169.16/25.60  | | | | | | | | |   (136)   ~ (all_6_1 = e1)
% 169.16/25.60  | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | REDUCE: (40), (133) imply:
% 169.16/25.60  | | | | | | | | |   (137)   ~ (all_6_1 = e0)
% 169.16/25.60  | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | BETA: splitting (21) gives:
% 169.16/25.60  | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | Case 1:
% 169.16/25.60  | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | |   (138)  all_54_8 = e1
% 169.16/25.60  | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | REF_CLOSE: (134), (136), (138) are inconsistent by sub-proof
% 169.16/25.60  | | | | | | | | | |            #265.
% 169.16/25.60  | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | Case 2:
% 169.16/25.60  | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | |   (139)  all_54_8 = e3 | all_54_8 = e2
% 169.16/25.60  | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | BETA: splitting (139) gives:
% 169.16/25.60  | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | Case 1:
% 169.16/25.60  | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | |   (140)  all_54_8 = e2
% 169.16/25.60  | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | COMBINE_EQS: (134), (140) imply:
% 169.16/25.60  | | | | | | | | | | |   (141)  all_6_1 = e2
% 169.16/25.60  | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | SIMP: (141) implies:
% 169.16/25.60  | | | | | | | | | | |   (142)  all_6_1 = e2
% 169.16/25.60  | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | REDUCE: (132), (142) imply:
% 169.16/25.60  | | | | | | | | | | |   (143)  $false
% 169.16/25.60  | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | CLOSE: (143) is inconsistent.
% 169.16/25.60  | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | Case 2:
% 169.16/25.60  | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | |   (144)  all_54_8 = e3
% 169.16/25.60  | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | COMBINE_EQS: (134), (144) imply:
% 169.16/25.60  | | | | | | | | | | |   (145)  all_6_1 = e3
% 169.16/25.60  | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | SIMP: (145) implies:
% 169.16/25.60  | | | | | | | | | | |   (146)  all_6_1 = e3
% 169.16/25.60  | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | REDUCE: (135), (146) imply:
% 169.16/25.60  | | | | | | | | | | |   (147)   ~ (all_52_1 = e3)
% 169.16/25.60  | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | BETA: splitting (101) gives:
% 169.16/25.60  | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | Case 1:
% 169.16/25.60  | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | |   (148)  all_54_4 = e1
% 169.16/25.60  | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | REF_CLOSE: (93), (126), (148) are inconsistent by sub-proof
% 169.16/25.60  | | | | | | | | | | | |            #872.
% 169.16/25.60  | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | Case 2:
% 169.16/25.60  | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | |   (149)  all_54_4 = e3 | all_54_4 = e2
% 169.16/25.60  | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | BETA: splitting (149) gives:
% 169.16/25.60  | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | Case 1:
% 169.16/25.60  | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | |   (150)  all_54_4 = e2
% 169.16/25.60  | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | COMBINE_EQS: (93), (150) imply:
% 169.16/25.60  | | | | | | | | | | | | |   (151)  all_52_1 = e2
% 169.16/25.60  | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | SIMP: (151) implies:
% 169.16/25.60  | | | | | | | | | | | | |   (152)  all_52_1 = e2
% 169.16/25.60  | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | REDUCE: (63), (152) imply:
% 169.16/25.60  | | | | | | | | | | | | |   (153)   ~ (all_52_13 = e2)
% 169.16/25.60  | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | SIMP: (153) implies:
% 169.16/25.60  | | | | | | | | | | | | |   (154)   ~ (all_52_13 = e2)
% 169.16/25.60  | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | REDUCE: (47), (152) imply:
% 169.16/25.60  | | | | | | | | | | | | |   (155)   ~ (all_4_2 = e2)
% 169.16/25.60  | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | SIMP: (155) implies:
% 169.16/25.60  | | | | | | | | | | | | |   (156)   ~ (all_4_2 = e2)
% 169.16/25.60  | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | BETA: splitting (119) gives:
% 169.16/25.60  | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | Case 1:
% 169.16/25.60  | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | |   (157)  all_58_22 = e1
% 169.16/25.60  | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | COMBINE_EQS: (76), (157) imply:
% 169.16/25.60  | | | | | | | | | | | | | |   (158)  all_52_6 = e1
% 169.16/25.60  | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | SIMP: (158) implies:
% 169.16/25.60  | | | | | | | | | | | | | |   (159)  all_52_6 = e1
% 169.16/25.60  | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | REDUCE: (13), (159) imply:
% 169.16/25.60  | | | | | | | | | | | | | |   (160)   ~ (all_4_2 = e1)
% 169.16/25.60  | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | SIMP: (160) implies:
% 169.16/25.60  | | | | | | | | | | | | | |   (161)   ~ (all_4_2 = e1)
% 169.16/25.60  | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | BETA: splitting (104) gives:
% 169.16/25.60  | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | Case 1:
% 169.16/25.60  | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | |   (162)  all_54_5 = e1
% 169.16/25.60  | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | | REF_CLOSE: (95), (161), (162) are inconsistent by sub-proof
% 169.16/25.60  | | | | | | | | | | | | | | |            #977.
% 169.16/25.60  | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | Case 2:
% 169.16/25.60  | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | |   (163)  all_54_5 = e3 | all_54_5 = e2
% 169.16/25.60  | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 169.16/25.60  | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | | Case 1:
% 169.16/25.60  | | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | | |   (164)  all_54_5 = e2
% 169.16/25.60  | | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | | | REF_CLOSE: (95), (156), (164) are inconsistent by sub-proof
% 169.16/25.60  | | | | | | | | | | | | | | | |            #976.
% 169.16/25.60  | | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | | Case 2:
% 169.16/25.60  | | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | | |   (165)  all_54_5 = e3
% 169.16/25.60  | | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | | | COMBINE_EQS: (95), (165) imply:
% 169.16/25.60  | | | | | | | | | | | | | | | |   (166)  all_4_2 = e3
% 169.16/25.60  | | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | | | SIMP: (166) implies:
% 169.16/25.60  | | | | | | | | | | | | | | | |   (167)  all_4_2 = e3
% 169.16/25.60  | | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | | | REDUCE: (18), (167) imply:
% 169.16/25.60  | | | | | | | | | | | | | | | |   (168)   ~ (all_52_13 = e3)
% 169.16/25.60  | | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 169.16/25.60  | | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.60  | | | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | | | |   (169)  all_54_7 = e1
% 169.16/25.60  | | | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | | | | COMBINE_EQS: (99), (169) imply:
% 169.16/25.60  | | | | | | | | | | | | | | | | |   (170)  all_52_13 = e1
% 169.16/25.60  | | | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | | | | SIMP: (170) implies:
% 169.16/25.60  | | | | | | | | | | | | | | | | |   (171)  all_52_13 = e1
% 169.16/25.60  | | | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | | | | COMBINE_EQS: (55), (171) imply:
% 169.16/25.60  | | | | | | | | | | | | | | | | |   (172)  all_58_29 = e1
% 169.16/25.60  | | | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | | | | REDUCE: (46), (171) imply:
% 169.16/25.60  | | | | | | | | | | | | | | | | |   (173)   ~ (all_14_2 = e1)
% 169.16/25.60  | | | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | | | | SIMP: (173) implies:
% 169.16/25.60  | | | | | | | | | | | | | | | | |   (174)   ~ (all_14_2 = e1)
% 169.16/25.60  | | | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | | | | REDUCE: (154), (171) imply:
% 169.16/25.60  | | | | | | | | | | | | | | | | |   (175)   ~ (e2 = e1)
% 169.16/25.60  | | | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | | | | SIMP: (175) implies:
% 169.16/25.60  | | | | | | | | | | | | | | | | |   (176)   ~ (e2 = e1)
% 169.16/25.60  | | | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (5), (7), (15), (16), (22), (23), (25),
% 169.16/25.60  | | | | | | | | | | | | | | | | |            (26), (28), (30), (31), (32), (34), (35), (38),
% 169.16/25.60  | | | | | | | | | | | | | | | | |            (41), (59), (66), (67), (68), (69), (74), (75),
% 169.16/25.60  | | | | | | | | | | | | | | | | |            (76), (80), (81), (82), (85), (87), (89), (91),
% 169.16/25.60  | | | | | | | | | | | | | | | | |            (92), (114), (172), (174), (176) are inconsistent
% 169.16/25.60  | | | | | | | | | | | | | | | | |            by sub-proof #35.
% 169.16/25.60  | | | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.60  | | | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | | | |   (177)  all_54_7 = e3 | all_54_7 = e2
% 169.16/25.60  | | | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | | | | REF_CLOSE: (99), (154), (168), (177) are inconsistent by
% 169.16/25.60  | | | | | | | | | | | | | | | | |            sub-proof #709.
% 169.16/25.60  | | | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | | | End of split
% 169.16/25.60  | | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | | End of split
% 169.16/25.60  | | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | End of split
% 169.16/25.60  | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | Case 2:
% 169.16/25.60  | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | |   (178)  all_58_20 = e3 | all_58_21 = e2
% 169.16/25.60  | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | | REF_CLOSE: (35), (47), (54), (87), (93), (147), (149), (178)
% 169.16/25.60  | | | | | | | | | | | | | |            are inconsistent by sub-proof #878.
% 169.16/25.60  | | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | End of split
% 169.16/25.60  | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | Case 2:
% 169.16/25.60  | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | |   (179)  all_54_4 = e3
% 169.16/25.60  | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | | REF_CLOSE: (93), (147), (179) are inconsistent by sub-proof
% 169.16/25.60  | | | | | | | | | | | | |            #881.
% 169.16/25.60  | | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | | End of split
% 169.16/25.60  | | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | | End of split
% 169.16/25.60  | | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | | End of split
% 169.16/25.60  | | | | | | | | | | 
% 169.16/25.60  | | | | | | | | | End of split
% 169.16/25.60  | | | | | | | | | 
% 169.16/25.60  | | | | | | | | End of split
% 169.16/25.60  | | | | | | | | 
% 169.16/25.60  | | | | | | | Case 2:
% 169.16/25.60  | | | | | | | | 
% 169.16/25.60  | | | | | | | |   (180)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 169.16/25.60  | | | | | | | | 
% 169.16/25.60  | | | | | | | | REF_CLOSE: (1), (5), (6), (11), (13), (14), (15), (16), (17),
% 169.16/25.60  | | | | | | | |            (18), (19), (22), (23), (24), (25), (26), (28), (29),
% 169.16/25.60  | | | | | | | |            (31), (33), (35), (36), (37), (39), (41), (42), (43),
% 169.16/25.60  | | | | | | | |            (44), (46), (48), (49), (50), (51), (52), (53), (54),
% 169.16/25.60  | | | | | | | |            (55), (57), (58), (60), (62), (65), (67), (70), (71),
% 169.16/25.60  | | | | | | | |            (73), (75), (76), (77), (79), (80), (82), (84), (86),
% 169.16/25.60  | | | | | | | |            (87), (91), (92), (94), (96), (98), (109), (114),
% 169.16/25.60  | | | | | | | |            (119), (122), (180) are inconsistent by sub-proof
% 169.16/25.60  | | | | | | | |            #737.
% 169.16/25.60  | | | | | | | | 
% 169.16/25.60  | | | | | | | End of split
% 169.16/25.60  | | | | | | | 
% 169.16/25.60  | | | | | | End of split
% 169.16/25.60  | | | | | | 
% 169.16/25.60  | | | | | End of split
% 169.16/25.60  | | | | | 
% 169.16/25.60  | | | | End of split
% 169.16/25.60  | | | | 
% 169.16/25.60  | | | End of split
% 169.16/25.60  | | | 
% 169.16/25.60  | | End of split
% 169.16/25.60  | | 
% 169.16/25.60  | End of split
% 169.16/25.60  | 
% 169.16/25.60  End of proof
% 169.16/25.60  
% 169.16/25.60  Sub-proof #8 shows that the following formulas are inconsistent:
% 169.16/25.60  ----------------------------------------------------------------
% 169.16/25.60    (1)   ~ (all_52_12 = all_14_2)
% 169.16/25.60    (2)  all_56_1 = all_52_4
% 169.16/25.60    (3)  op(all_4_2, e2) = e0
% 169.16/25.60    (4)  all_56_12 = all_52_3
% 169.16/25.60    (5)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 169.16/25.60    (6)   ~ (all_52_8 = all_52_12)
% 169.16/25.60    (7)   ~ (e3 = e1)
% 169.16/25.60    (8)  all_58_23 = all_52_7
% 169.16/25.60    (9)   ~ (all_52_4 = all_4_2)
% 169.16/25.60    (10)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 169.16/25.60    (11)  all_56_5 = all_52_9
% 169.16/25.60    (12)  op(all_6_2, e3) = all_6_1
% 169.16/25.60    (13)   ~ (all_52_12 = all_6_2)
% 169.16/25.60    (14)  op(e2, e0) = all_52_13
% 169.16/25.60    (15)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 169.16/25.60    (16)   ~ (all_52_6 = all_4_2)
% 169.16/25.60    (17)  op(e3, all_6_2) = all_58_0
% 169.16/25.60    (18)  all_56_15 = all_14_2
% 169.16/25.60    (19)  op(e0, e2) = all_52_7
% 169.16/25.60    (20)  op(e3, all_52_4) = all_58_1
% 169.16/25.60    (21)  all_54_1 = all_52_4
% 169.16/25.60    (22)  op(all_10_2, e1) = all_10_1
% 169.16/25.60    (23)  op(e1, all_10_2) = all_58_10
% 169.16/25.60    (24)   ~ (all_52_9 = all_4_2)
% 169.16/25.60    (25)  op(e1, e1) = all_10_2
% 169.16/25.60    (26)   ~ (all_52_13 = all_4_2)
% 169.16/25.60    (27)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 169.16/25.60    (28)  op(e0, all_52_3) = all_58_12
% 169.16/25.60    (29)  all_56_8 = all_10_2
% 169.16/25.60    (30)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 169.16/25.60    (31)  all_58_26 = all_10_2
% 169.16/25.60    (32)   ~ (all_52_4 = all_52_6)
% 169.16/25.60    (33)  all_58_31 = all_14_2
% 169.16/25.60    (34)   ~ (all_52_9 = all_52_13)
% 169.16/25.60    (35)   ~ (all_52_3 = all_6_2)
% 169.16/25.60    (36)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 169.16/25.60    (37)  op(all_6_1, all_6_2) = e0
% 169.16/25.60    (38)  all_58_18 = e0
% 169.16/25.60    (39)   ~ (all_52_1 = all_6_2)
% 169.16/25.60    (40)  all_56_11 = all_52_14
% 169.16/25.60    (41)  all_56_0 = all_6_2
% 169.16/25.60    (42)   ~ (all_52_9 = all_10_2)
% 169.16/25.60    (43)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 169.16/25.60    (44)  all_58_30 = all_52_14
% 169.16/25.60    (45)  all_58_27 = all_52_11
% 169.16/25.60    (46)  op(e3, e2) = all_52_4
% 169.16/25.60    (47)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 169.16/25.60    (48)  all_58_17 = all_52_1
% 169.16/25.60    (49)  op(e3, e1) = all_52_8
% 169.16/25.60    (50)  all_58_19 = all_52_3
% 169.16/25.60    (51)  all_56_9 = all_52_12
% 169.16/25.60    (52)   ~ (e3 = e2)
% 169.16/25.60    (53)   ~ (e2 = e1)
% 169.16/25.60    (54)   ~ (all_52_6 = all_10_2)
% 169.16/25.60    (55)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 169.16/25.60    (56)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 169.16/25.60    (57)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 169.16/25.60    (58)   ~ (all_52_13 = all_14_2)
% 169.16/25.60    (59)   ~ (all_52_1 = all_4_2)
% 169.16/25.60    (60)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.16/25.60    (61)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 169.16/25.60    (62)  all_54_9 = all_52_6
% 169.16/25.60    (63)   ~ (all_52_13 = all_52_14)
% 169.16/25.60    (64)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 169.16/25.60    (65)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 169.16/25.60    (66)  all_58_16 = all_6_2
% 169.16/25.60    (67)  all_56_13 = all_52_7
% 169.16/25.60    (68)  op(e0, e3) = all_52_3
% 169.16/25.60    (69)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 169.16/25.60    (70)   ~ (all_52_8 = all_52_9)
% 169.16/25.60    (71)   ~ (all_52_4 = all_6_2)
% 169.16/25.60    (72)  all_56_2 = all_52_1
% 169.16/25.60    (73)   ~ (e3 = e0)
% 169.16/25.60    (74)  all_58_29 = all_52_13
% 169.16/25.60    (75)   ~ (all_52_13 = e0)
% 169.16/25.60    (76)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 169.16/25.60    (77)   ~ (all_52_6 = all_52_14)
% 169.16/25.60    (78)   ~ (all_52_7 = all_4_2)
% 169.16/25.60    (79)   ~ (all_52_8 = all_10_2)
% 169.16/25.60    (80)  all_56_4 = all_52_8
% 169.16/25.60    (81)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.16/25.60    (82)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 169.16/25.60    (83)   ~ (all_52_1 = all_52_13)
% 169.16/25.60    (84)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 169.16/25.60    (85)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 169.16/25.60    (86)  all_54_10 = all_10_2
% 169.16/25.60    (87)   ~ (all_52_8 = all_52_11)
% 169.16/25.60    (88)   ~ (all_52_8 = all_6_2)
% 169.16/25.60    (89)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 169.16/25.60    (90)   ~ (all_52_1 = all_52_9)
% 169.16/25.60    (91)  op(e3, e3) = all_6_2
% 169.16/25.60    (92)  all_56_6 = e0
% 169.16/25.60    (93)  all_58_24 = all_52_8
% 169.16/25.60    (94)   ~ (all_52_12 = all_52_14)
% 169.16/25.60    (95)   ~ (all_52_9 = all_52_11)
% 169.16/25.60    (96)  all_58_22 = all_52_6
% 169.16/25.60    (97)   ~ (all_52_4 = all_52_12)
% 169.16/25.60    (98)  all_56_3 = all_4_2
% 169.16/25.60    (99)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 169.16/25.60    (100)  all_54_0 = all_6_2
% 169.16/25.60    (101)   ~ (all_52_14 = all_10_2)
% 169.16/25.60    (102)   ~ (all_52_1 = e0)
% 169.16/25.60    (103)   ~ (all_52_4 = all_52_8)
% 169.16/25.60    (104)   ~ (all_52_14 = all_14_2)
% 169.16/25.60    (105)  all_58_25 = all_52_9
% 169.16/25.60    (106)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 169.16/25.60    (107)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.16/25.60             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.16/25.60    (108)   ~ (all_52_6 = e0)
% 169.16/25.60    (109)  all_54_12 = all_52_3
% 169.16/25.60    (110)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 169.16/25.60    (111)  all_58_21 = all_4_2
% 169.16/25.60    (112)  all_56_10 = all_52_13
% 169.16/25.60    (113)   ~ (all_52_3 = e0)
% 169.16/25.60    (114)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 169.16/25.60    (115)   ~ (e2 = e0)
% 169.16/25.60    (116)   ~ (all_52_1 = all_52_3)
% 169.16/25.60    (117)   ~ (all_52_14 = e0)
% 169.16/25.60    (118)  all_58_28 = all_52_12
% 169.16/25.60    (119)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 169.16/25.60    (120)   ~ (e1 = e0)
% 169.16/25.60    (121)  all_56_7 = all_52_6
% 169.16/25.60    (122)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 169.16/25.60             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 169.16/25.60             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 169.16/25.60             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 169.16/25.60             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 169.16/25.60             (all_58_15 = e0))
% 169.16/25.60    (123)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 169.16/25.60    (124)  all_54_5 = all_4_2
% 169.16/25.60    (125)  op(e2, all_52_13) = all_58_7
% 169.16/25.60    (126)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 169.16/25.61    (127)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 169.16/25.61           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 169.16/25.61           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 169.16/25.61           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 169.16/25.61           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 169.16/25.61           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 169.16/25.61           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 169.16/25.61           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 169.16/25.61           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 169.16/25.61           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 169.16/25.61             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 169.16/25.61             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 169.16/25.61             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 169.16/25.61             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 169.16/25.61             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 169.16/25.61             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 169.16/25.61             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 169.16/25.61             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 169.16/25.61             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 169.16/25.61             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 169.16/25.61             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 169.16/25.61             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 169.16/25.61             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 169.16/25.61             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 169.16/25.61             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 169.16/25.61             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 169.16/25.61           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 169.16/25.61           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 169.16/25.61           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 169.16/25.61             all_58_30 = e0 & e1 = e0)
% 169.16/25.61    (128)  all_54_7 = all_52_13
% 169.16/25.61    (129)   ~ (all_10_1 = e0)
% 169.16/25.61    (130)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 169.16/25.61    (131)   ~ (all_52_12 = all_52_13)
% 169.16/25.61  
% 169.16/25.61  Begin of proof
% 169.16/25.61  | 
% 169.16/25.61  | BETA: splitting (110) gives:
% 169.16/25.61  | 
% 169.16/25.61  | Case 1:
% 169.16/25.61  | | 
% 169.16/25.61  | |   (132)  all_56_9 = e0
% 169.16/25.61  | | 
% 169.16/25.61  | | COMBINE_EQS: (51), (132) imply:
% 169.16/25.61  | |   (133)  all_52_12 = e0
% 169.16/25.61  | | 
% 169.16/25.61  | | REDUCE: (97), (133) imply:
% 169.16/25.61  | |   (134)   ~ (all_52_4 = e0)
% 169.16/25.61  | | 
% 169.16/25.61  | | REDUCE: (94), (133) imply:
% 169.16/25.61  | |   (135)   ~ (all_52_14 = e0)
% 169.16/25.61  | | 
% 169.16/25.61  | | REDUCE: (13), (133) imply:
% 169.16/25.61  | |   (136)   ~ (all_6_2 = e0)
% 169.16/25.61  | | 
% 169.16/25.61  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 169.16/25.61  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 169.16/25.61  | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 169.16/25.61  | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (44), (45),
% 169.16/25.61  | |            (46), (47), (48), (49), (50), (51), (52), (53), (54), (55), (56),
% 169.16/25.61  | |            (57), (58), (59), (60), (61), (62), (63), (64), (65), (66), (67),
% 169.16/25.61  | |            (68), (69), (70), (71), (72), (73), (74), (76), (77), (78), (79),
% 169.16/25.61  | |            (80), (81), (82), (83), (84), (85), (86), (87), (88), (89), (90),
% 169.16/25.61  | |            (91), (92), (93), (94), (95), (96), (97), (98), (99), (100),
% 169.16/25.61  | |            (101), (102), (103), (104), (105), (106), (107), (108), (109),
% 169.16/25.61  | |            (110), (111), (112), (113), (114), (115), (116), (117), (118),
% 169.16/25.61  | |            (119), (120), (121), (122), (123), (124), (125), (126), (127),
% 169.16/25.61  | |            (128), (129), (130), (131), (134), (136) are inconsistent by
% 169.16/25.61  | |            sub-proof #9.
% 169.16/25.61  | | 
% 169.16/25.61  | Case 2:
% 169.16/25.61  | | 
% 169.16/25.61  | |   (137)  all_56_10 = e0 | all_56_11 = e0
% 169.16/25.61  | | 
% 169.16/25.61  | | REF_CLOSE: (40), (75), (112), (117), (137) are inconsistent by sub-proof
% 169.16/25.61  | |            #414.
% 169.16/25.61  | | 
% 169.16/25.61  | End of split
% 169.16/25.61  | 
% 169.16/25.61  End of proof
% 169.16/25.61  
% 169.16/25.61  Sub-proof #9 shows that the following formulas are inconsistent:
% 169.16/25.61  ----------------------------------------------------------------
% 169.16/25.61    (1)   ~ (all_52_12 = all_14_2)
% 169.16/25.61    (2)  all_56_1 = all_52_4
% 169.16/25.61    (3)  op(all_4_2, e2) = e0
% 169.16/25.61    (4)  all_56_12 = all_52_3
% 169.16/25.61    (5)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 169.16/25.61    (6)   ~ (all_52_8 = all_52_12)
% 169.16/25.61    (7)   ~ (e3 = e1)
% 169.16/25.61    (8)  all_58_23 = all_52_7
% 169.16/25.61    (9)   ~ (all_52_4 = all_4_2)
% 169.16/25.61    (10)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 169.16/25.61    (11)  all_56_5 = all_52_9
% 169.16/25.61    (12)  op(all_6_2, e3) = all_6_1
% 169.16/25.61    (13)   ~ (all_52_12 = all_6_2)
% 169.16/25.61    (14)  op(e2, e0) = all_52_13
% 169.16/25.61    (15)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 169.16/25.61    (16)   ~ (all_52_6 = all_4_2)
% 169.16/25.61    (17)  op(e3, all_6_2) = all_58_0
% 169.16/25.61    (18)  all_56_15 = all_14_2
% 169.16/25.61    (19)  op(e0, e2) = all_52_7
% 169.16/25.61    (20)  op(e3, all_52_4) = all_58_1
% 169.16/25.61    (21)  all_54_1 = all_52_4
% 169.16/25.61    (22)  op(all_10_2, e1) = all_10_1
% 169.16/25.61    (23)  op(e1, all_10_2) = all_58_10
% 169.16/25.61    (24)   ~ (all_52_9 = all_4_2)
% 169.16/25.61    (25)  op(e1, e1) = all_10_2
% 169.16/25.61    (26)   ~ (all_52_13 = all_4_2)
% 169.16/25.61    (27)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 169.16/25.61    (28)  op(e0, all_52_3) = all_58_12
% 169.16/25.61    (29)  all_56_8 = all_10_2
% 169.16/25.61    (30)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 169.16/25.61    (31)  all_58_26 = all_10_2
% 169.16/25.61    (32)   ~ (all_52_4 = all_52_6)
% 169.16/25.61    (33)  all_58_31 = all_14_2
% 169.16/25.61    (34)   ~ (all_52_9 = all_52_13)
% 169.16/25.61    (35)   ~ (all_52_3 = all_6_2)
% 169.16/25.61    (36)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 169.16/25.61    (37)   ~ (all_52_4 = e0)
% 169.16/25.61    (38)  op(all_6_1, all_6_2) = e0
% 169.16/25.61    (39)  all_58_18 = e0
% 169.16/25.61    (40)   ~ (all_52_1 = all_6_2)
% 169.16/25.61    (41)  all_56_11 = all_52_14
% 169.16/25.61    (42)  all_56_0 = all_6_2
% 169.16/25.61    (43)   ~ (all_52_9 = all_10_2)
% 169.16/25.61    (44)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 169.16/25.61    (45)  all_58_30 = all_52_14
% 169.16/25.61    (46)  all_58_27 = all_52_11
% 169.16/25.61    (47)  op(e3, e2) = all_52_4
% 169.16/25.61    (48)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 169.16/25.61    (49)  all_58_17 = all_52_1
% 169.16/25.61    (50)  op(e3, e1) = all_52_8
% 169.16/25.61    (51)  all_58_19 = all_52_3
% 169.16/25.61    (52)  all_56_9 = all_52_12
% 169.16/25.61    (53)   ~ (e3 = e2)
% 169.16/25.61    (54)   ~ (e2 = e1)
% 169.16/25.61    (55)   ~ (all_52_6 = all_10_2)
% 169.16/25.61    (56)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 169.16/25.61    (57)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 169.16/25.61    (58)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 169.16/25.61    (59)   ~ (all_52_13 = all_14_2)
% 169.16/25.61    (60)   ~ (all_52_1 = all_4_2)
% 169.16/25.61    (61)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.16/25.61    (62)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 169.16/25.61    (63)  all_54_9 = all_52_6
% 169.16/25.61    (64)   ~ (all_52_13 = all_52_14)
% 169.16/25.61    (65)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 169.16/25.61    (66)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 169.16/25.61    (67)  all_58_16 = all_6_2
% 169.16/25.61    (68)  all_56_13 = all_52_7
% 169.16/25.61    (69)  op(e0, e3) = all_52_3
% 169.16/25.61    (70)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 169.16/25.61    (71)   ~ (all_52_8 = all_52_9)
% 169.16/25.61    (72)   ~ (all_52_4 = all_6_2)
% 169.16/25.61    (73)  all_56_2 = all_52_1
% 169.16/25.61    (74)   ~ (e3 = e0)
% 169.16/25.61    (75)  all_58_29 = all_52_13
% 169.16/25.61    (76)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 169.16/25.61    (77)   ~ (all_52_6 = all_52_14)
% 169.16/25.61    (78)   ~ (all_52_7 = all_4_2)
% 169.16/25.61    (79)   ~ (all_52_8 = all_10_2)
% 169.16/25.61    (80)  all_56_4 = all_52_8
% 169.16/25.61    (81)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.16/25.61    (82)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 169.16/25.61    (83)   ~ (all_52_1 = all_52_13)
% 169.16/25.61    (84)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 169.16/25.61    (85)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 169.16/25.61    (86)  all_54_10 = all_10_2
% 169.16/25.61    (87)   ~ (all_6_2 = e0)
% 169.16/25.61    (88)   ~ (all_52_8 = all_52_11)
% 169.16/25.61    (89)   ~ (all_52_8 = all_6_2)
% 169.16/25.61    (90)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 169.16/25.61    (91)   ~ (all_52_1 = all_52_9)
% 169.16/25.61    (92)  op(e3, e3) = all_6_2
% 169.16/25.61    (93)  all_56_6 = e0
% 169.16/25.61    (94)  all_58_24 = all_52_8
% 169.16/25.61    (95)   ~ (all_52_12 = all_52_14)
% 169.16/25.61    (96)   ~ (all_52_9 = all_52_11)
% 169.16/25.61    (97)  all_58_22 = all_52_6
% 169.16/25.61    (98)   ~ (all_52_4 = all_52_12)
% 169.16/25.61    (99)  all_56_3 = all_4_2
% 169.16/25.61    (100)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 169.16/25.61    (101)  all_54_0 = all_6_2
% 169.16/25.61    (102)   ~ (all_52_14 = all_10_2)
% 169.16/25.61    (103)   ~ (all_52_1 = e0)
% 169.16/25.61    (104)   ~ (all_52_4 = all_52_8)
% 169.16/25.61    (105)   ~ (all_52_14 = all_14_2)
% 169.16/25.61    (106)  all_58_25 = all_52_9
% 169.16/25.61    (107)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 169.16/25.61    (108)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.16/25.61             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.16/25.61    (109)   ~ (all_52_6 = e0)
% 169.16/25.61    (110)  all_54_12 = all_52_3
% 169.16/25.61    (111)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 169.16/25.61    (112)  all_58_21 = all_4_2
% 169.16/25.61    (113)  all_56_10 = all_52_13
% 169.16/25.61    (114)   ~ (all_52_3 = e0)
% 169.16/25.61    (115)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 169.16/25.61    (116)   ~ (e2 = e0)
% 169.16/25.61    (117)   ~ (all_52_1 = all_52_3)
% 169.16/25.61    (118)   ~ (all_52_14 = e0)
% 169.16/25.61    (119)  all_58_28 = all_52_12
% 169.16/25.61    (120)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 169.16/25.61    (121)   ~ (e1 = e0)
% 169.16/25.61    (122)  all_56_7 = all_52_6
% 169.16/25.61    (123)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 169.16/25.61             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 169.16/25.61             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 169.16/25.61             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 169.16/25.61             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 169.16/25.61             (all_58_15 = e0))
% 169.16/25.61    (124)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 169.16/25.61    (125)  all_54_5 = all_4_2
% 169.16/25.61    (126)  op(e2, all_52_13) = all_58_7
% 169.16/25.61    (127)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 169.16/25.61    (128)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 169.16/25.61           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 169.16/25.61           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 169.16/25.61           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 169.16/25.61           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 169.16/25.61           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 169.16/25.61           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 169.16/25.61           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 169.16/25.61           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 169.16/25.61           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 169.16/25.61             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 169.16/25.61             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 169.16/25.61             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 169.16/25.61             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 169.16/25.61             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 169.16/25.61             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 169.16/25.61             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 169.16/25.61             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 169.16/25.61             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 169.16/25.61             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 169.16/25.61             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 169.16/25.61             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 169.16/25.61             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 169.16/25.61             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 169.16/25.61             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 169.16/25.61             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 169.16/25.61           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 169.16/25.61           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 169.16/25.61           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 169.16/25.61             all_58_30 = e0 & e1 = e0)
% 169.16/25.61    (129)  all_54_7 = all_52_13
% 169.16/25.61    (130)   ~ (all_10_1 = e0)
% 169.16/25.61    (131)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 169.16/25.61    (132)   ~ (all_52_12 = all_52_13)
% 169.16/25.61  
% 169.16/25.61  Begin of proof
% 169.16/25.61  | 
% 169.16/25.61  | SIMP: (87) implies:
% 169.16/25.61  |   (133)   ~ (all_6_2 = e0)
% 169.16/25.61  | 
% 169.16/25.61  | BETA: splitting (66) gives:
% 169.16/25.61  | 
% 169.16/25.61  | Case 1:
% 169.16/25.61  | | 
% 169.16/25.61  | |   (134)  all_56_1 = e0
% 169.16/25.61  | | 
% 169.16/25.61  | | COMBINE_EQS: (2), (134) imply:
% 169.16/25.61  | |   (135)  all_52_4 = e0
% 169.16/25.61  | | 
% 169.16/25.61  | | REDUCE: (37), (135) imply:
% 169.16/25.61  | |   (136)  $false
% 169.16/25.61  | | 
% 169.16/25.61  | | CLOSE: (136) is inconsistent.
% 169.16/25.61  | | 
% 169.16/25.61  | Case 2:
% 169.16/25.61  | | 
% 169.16/25.61  | |   (137)   ~ (all_56_1 = e0)
% 169.16/25.61  | |   (138)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 169.16/25.61  | | 
% 169.16/25.61  | | BETA: splitting (85) gives:
% 169.16/25.61  | | 
% 169.16/25.61  | | Case 1:
% 169.16/25.61  | | | 
% 169.16/25.61  | | |   (139)  all_54_12 = e0
% 169.16/25.61  | | | 
% 169.16/25.61  | | | COMBINE_EQS: (110), (139) imply:
% 169.16/25.61  | | |   (140)  all_52_3 = e0
% 169.16/25.61  | | | 
% 169.16/25.61  | | | REDUCE: (114), (140) imply:
% 169.16/25.61  | | |   (141)  $false
% 169.16/25.61  | | | 
% 169.16/25.61  | | | CLOSE: (141) is inconsistent.
% 169.16/25.61  | | | 
% 169.16/25.61  | | Case 2:
% 169.16/25.61  | | | 
% 169.16/25.61  | | |   (142)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 169.16/25.61  | | | 
% 169.16/25.61  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 169.16/25.61  | | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 169.16/25.61  | | |            (23), (24), (25), (26), (27), (28), (29), (30), (31), (32),
% 169.16/25.61  | | |            (33), (34), (35), (36), (37), (38), (39), (40), (41), (42),
% 169.16/25.61  | | |            (43), (44), (45), (46), (47), (48), (49), (50), (51), (52),
% 169.16/25.61  | | |            (53), (54), (55), (56), (57), (58), (59), (60), (61), (62),
% 169.16/25.61  | | |            (63), (64), (65), (67), (68), (69), (70), (71), (72), (73),
% 169.16/25.61  | | |            (74), (75), (76), (77), (78), (79), (80), (81), (82), (83),
% 169.16/25.61  | | |            (84), (86), (88), (89), (90), (91), (92), (93), (94), (95),
% 169.16/25.61  | | |            (96), (97), (98), (99), (100), (101), (102), (103), (104),
% 169.16/25.61  | | |            (105), (106), (107), (108), (109), (110), (111), (112), (113),
% 169.16/25.61  | | |            (114), (115), (116), (117), (118), (119), (120), (121), (122),
% 169.16/25.61  | | |            (123), (124), (125), (126), (127), (128), (129), (130), (131),
% 169.16/25.61  | | |            (132), (133), (138), (142) are inconsistent by sub-proof #33.
% 169.16/25.61  | | | 
% 169.16/25.61  | | End of split
% 169.16/25.61  | | 
% 169.16/25.61  | End of split
% 169.16/25.61  | 
% 169.16/25.61  End of proof
% 169.16/25.61  
% 169.16/25.61  Sub-proof #10 shows that the following formulas are inconsistent:
% 169.16/25.61  ----------------------------------------------------------------
% 169.16/25.61    (1)   ~ (all_34_0 = e2) |  ~ (all_34_2 = e3)
% 169.16/25.61    (2)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 169.16/25.61    (3)  all_56_12 = all_52_3
% 169.16/25.61    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 169.16/25.61    (5)   ~ (all_52_8 = all_52_12)
% 169.16/25.61    (6)   ~ (e3 = e1)
% 169.16/25.61    (7)   ~ (all_52_3 = all_14_2)
% 169.16/25.61    (8)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 169.16/25.61    (9)   ~ (all_52_12 = all_6_2)
% 169.16/25.61    (10)  all_56_15 = all_14_2
% 169.16/25.61    (11)   ~ (all_52_11 = all_14_2)
% 169.16/25.61    (12)   ~ (all_14_2 = e0)
% 169.16/25.61    (13)  op(e1, all_10_2) = all_58_10
% 169.16/25.61    (14)  op(e1, e1) = all_10_2
% 169.16/25.61    (15)  all_56_14 = all_52_11
% 169.16/25.61    (16)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 169.16/25.61    (17)  all_34_2 = all_10_2
% 169.16/25.61    (18)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 169.16/25.61    (19)  all_58_26 = all_10_2
% 169.16/25.61    (20)  all_58_31 = all_14_2
% 169.16/25.61    (21)   ~ (all_52_11 = all_10_2)
% 169.16/25.61    (22)   ~ (all_52_9 = all_52_13)
% 169.16/25.61    (23)   ~ (all_52_3 = all_6_2)
% 169.16/25.61    (24)  all_58_18 = e0
% 169.16/25.61    (25)   ~ (all_52_1 = all_6_2)
% 169.16/25.61    (26)  all_56_11 = all_52_14
% 169.16/25.61    (27)  all_56_0 = all_6_2
% 169.16/25.61    (28)   ~ (all_52_9 = all_10_2)
% 169.16/25.61    (29)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 169.16/25.61    (30)  all_58_30 = all_52_14
% 169.16/25.61    (31)  all_58_27 = all_52_11
% 169.16/25.61    (32)  all_58_17 = all_52_1
% 169.16/25.61    (33)  all_58_19 = all_52_3
% 169.16/25.61    (34)  all_56_9 = all_52_12
% 169.16/25.61    (35)  all_56_4 = e0
% 169.16/25.61    (36)   ~ (e3 = e2)
% 169.16/25.61    (37)   ~ (all_52_13 = all_14_2)
% 169.16/25.61    (38)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 169.16/25.61    (39)  all_58_16 = all_6_2
% 169.16/25.61    (40)  op(e0, e3) = all_52_3
% 169.16/25.61    (41)  all_56_2 = all_52_1
% 169.16/25.61    (42)   ~ (e3 = e0)
% 169.16/25.61    (43)  all_58_29 = all_52_13
% 169.16/25.61    (44)   ~ (all_52_8 = all_10_2)
% 169.16/25.61    (45)  all_56_4 = all_52_8
% 169.16/25.61    (46)  op(e0, all_10_2) = all_10_0
% 169.16/25.61    (47)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 169.16/25.61    (48)   ~ (all_52_1 = all_52_13)
% 169.16/25.61    (49)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 169.16/25.61    (50)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 169.16/25.61    (51)  all_54_10 = all_10_2
% 169.16/25.61    (52)  all_54_15 = all_14_2
% 169.16/25.61    (53)  op(all_10_2, e1) = e0
% 169.16/25.61    (54)   ~ (all_52_8 = all_52_11)
% 169.16/25.61    (55)   ~ (all_52_8 = all_6_2)
% 169.16/25.61    (56)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 169.16/25.61    (57)   ~ (all_52_1 = all_52_9)
% 169.16/25.61    (58)  all_56_6 = e0
% 169.16/25.61    (59)  all_58_24 = all_52_8
% 169.16/25.61    (60)  all_54_0 = all_6_2
% 169.16/25.61    (61)  all_58_29 = e0
% 169.16/25.61    (62)   ~ (all_52_14 = all_10_2)
% 169.16/25.61    (63)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 169.16/25.61    (64)   ~ (all_52_14 = all_14_2)
% 169.16/25.61    (65)  all_58_25 = all_52_9
% 169.16/25.61    (66)  all_34_0 = all_10_0
% 169.16/25.61    (67)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.16/25.61            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.16/25.61    (68)  all_54_12 = all_52_3
% 169.16/25.61    (69)  op(e0, all_14_2) = all_58_15
% 169.16/25.61    (70)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 169.16/25.61    (71)  all_56_10 = all_52_13
% 169.16/25.61    (72)   ~ (all_52_3 = e0)
% 169.16/25.61    (73)   ~ (e2 = e0)
% 169.16/25.61    (74)   ~ (all_52_1 = all_52_3)
% 169.16/25.61    (75)   ~ (all_52_14 = e0)
% 169.16/25.61    (76)  all_58_28 = all_52_12
% 169.16/25.61    (77)   ~ (e1 = e0)
% 169.16/25.61    (78)  all_54_4 = all_52_1
% 169.16/25.61    (79)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 169.16/25.61  
% 169.16/25.61  Begin of proof
% 169.16/25.61  | 
% 169.16/25.61  | COMBINE_EQS: (35), (45) imply:
% 169.16/25.61  |   (80)  all_52_8 = e0
% 169.16/25.61  | 
% 169.16/25.61  | COMBINE_EQS: (59), (80) imply:
% 169.16/25.61  |   (81)  all_58_24 = e0
% 169.16/25.61  | 
% 169.16/25.61  | REDUCE: (54), (80) imply:
% 169.16/25.61  |   (82)   ~ (all_52_11 = e0)
% 169.16/25.61  | 
% 169.16/25.61  | SIMP: (82) implies:
% 169.16/25.61  |   (83)   ~ (all_52_11 = e0)
% 169.16/25.61  | 
% 169.16/25.61  | REDUCE: (5), (80) imply:
% 169.16/25.61  |   (84)   ~ (all_52_12 = e0)
% 169.16/25.61  | 
% 169.16/25.61  | SIMP: (84) implies:
% 169.16/25.61  |   (85)   ~ (all_52_12 = e0)
% 169.16/25.61  | 
% 169.16/25.61  | REDUCE: (44), (80) imply:
% 169.16/25.61  |   (86)   ~ (all_10_2 = e0)
% 169.16/25.61  | 
% 169.16/25.61  | SIMP: (86) implies:
% 169.16/25.61  |   (87)   ~ (all_10_2 = e0)
% 169.16/25.61  | 
% 169.16/25.61  | REDUCE: (55), (80) imply:
% 169.16/25.61  |   (88)   ~ (all_6_2 = e0)
% 169.16/25.61  | 
% 169.16/25.61  | SIMP: (88) implies:
% 169.16/25.61  |   (89)   ~ (all_6_2 = e0)
% 169.16/25.61  | 
% 169.16/25.61  | BETA: splitting (2) gives:
% 169.16/25.61  | 
% 169.16/25.61  | Case 1:
% 169.16/25.61  | | 
% 169.16/25.61  | |   (90)  all_56_12 = e0
% 169.16/25.61  | | 
% 169.16/25.61  | | REF_CLOSE: (3), (72), (90) are inconsistent by sub-proof #919.
% 169.16/25.61  | | 
% 169.16/25.61  | Case 2:
% 169.16/25.61  | | 
% 169.16/25.61  | |   (91)   ~ (all_56_12 = e0)
% 169.16/25.61  | |   (92)  all_56_13 = e0 | all_56_14 = e0
% 169.16/25.61  | | 
% 169.16/25.61  | | BETA: splitting (92) gives:
% 169.16/25.61  | | 
% 169.16/25.61  | | Case 1:
% 169.16/25.61  | | | 
% 169.16/25.61  | | |   (93)  all_56_13 = e0
% 169.16/25.61  | | | 
% 169.16/25.61  | | | REF_CLOSE: (1), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 169.16/25.61  | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 169.16/25.61  | | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33),
% 169.16/25.61  | | |            (34), (36), (37), (38), (39), (40), (41), (42), (43), (46),
% 169.16/25.61  | | |            (47), (48), (49), (50), (51), (52), (53), (56), (57), (58),
% 169.16/25.61  | | |            (60), (61), (62), (63), (64), (65), (66), (67), (68), (69),
% 169.16/25.61  | | |            (70), (71), (72), (73), (74), (75), (76), (77), (78), (79),
% 169.16/25.61  | | |            (81), (83), (85), (87), (89), (93) are inconsistent by
% 169.16/25.61  | | |            sub-proof #137.
% 169.16/25.61  | | | 
% 169.16/25.61  | | Case 2:
% 169.16/25.61  | | | 
% 169.16/25.61  | | |   (94)  all_56_14 = e0
% 169.16/25.61  | | | 
% 169.16/25.61  | | | REF_CLOSE: (15), (83), (94) are inconsistent by sub-proof #915.
% 169.16/25.61  | | | 
% 169.16/25.61  | | End of split
% 169.16/25.61  | | 
% 169.16/25.61  | End of split
% 169.16/25.61  | 
% 169.16/25.61  End of proof
% 169.16/25.61  
% 169.16/25.61  Sub-proof #11 shows that the following formulas are inconsistent:
% 169.16/25.61  ----------------------------------------------------------------
% 169.16/25.61    (1)  all_56_1 = all_52_4
% 169.16/25.61    (2)  all_56_12 = all_52_3
% 169.16/25.61    (3)   ~ (all_52_8 = all_52_12)
% 169.16/25.61    (4)   ~ (e3 = e1)
% 169.16/25.61    (5)  all_58_23 = all_52_7
% 169.16/25.62    (6)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 169.16/25.62    (7)   ~ (all_52_2 = all_6_2)
% 169.16/25.62    (8)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 169.16/25.62    (9)  all_54_3 = all_52_12
% 169.16/25.62    (10)   ~ (all_52_12 = all_6_2)
% 169.16/25.62    (11)  op(e3, all_52_4) = all_58_1
% 169.16/25.62    (12)  op(all_10_2, e1) = all_10_1
% 169.16/25.62    (13)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 169.16/25.62    (14)  all_58_30 = e0
% 169.16/25.62    (15)  all_58_26 = all_10_2
% 169.16/25.62    (16)   ~ (all_52_1 = all_6_2)
% 169.16/25.62    (17)  all_56_0 = all_6_2
% 169.16/25.62    (18)   ~ (all_52_9 = all_10_2)
% 169.16/25.62    (19)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 169.16/25.62    (20)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 169.16/25.62    (21)  all_58_17 = all_52_1
% 169.16/25.62    (22)  op(e3, e1) = all_52_8
% 169.16/25.62    (23)  all_58_19 = all_52_3
% 169.16/25.62    (24)  all_56_9 = all_52_12
% 169.16/25.62    (25)   ~ (all_52_2 = all_52_6)
% 169.16/25.62    (26)   ~ (all_52_12 = e1)
% 169.16/25.62    (27)   ~ (all_52_4 = all_52_7)
% 169.16/25.62    (28)   ~ (e2 = e1)
% 169.16/25.62    (29)   ~ (all_52_7 = e1)
% 169.16/25.62    (30)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 169.16/25.62    (31)   ~ (all_52_2 = e0)
% 169.16/25.62    (32)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.16/25.62    (33)   ~ (all_52_3 = e1)
% 169.16/25.62    (34)  all_58_18 = all_52_2
% 169.16/25.62    (35)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 169.16/25.62    (36)  all_58_16 = all_6_2
% 169.16/25.62    (37)  all_56_13 = all_52_7
% 169.16/25.62    (38)   ~ (all_52_12 = e0)
% 169.16/25.62    (39)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 169.16/25.62    (40)  all_56_2 = all_52_1
% 169.16/25.62    (41)   ~ (e3 = e0)
% 169.16/25.62    (42)  all_58_29 = all_52_13
% 169.16/25.62    (43)   ~ (all_52_1 = all_52_2)
% 169.16/25.62    (44)  all_56_4 = all_52_8
% 169.16/25.62    (45)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 169.16/25.62    (46)  all_58_20 = all_52_4
% 169.16/25.62    (47)  all_54_10 = all_10_2
% 169.16/25.62    (48)   ~ (all_52_8 = all_14_0)
% 169.16/25.62    (49)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 169.16/25.62    (50)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 169.16/25.62    (51)  all_56_6 = all_52_2
% 169.16/25.62    (52)  all_58_27 = all_14_0
% 169.16/25.62    (53)  all_58_24 = all_52_8
% 169.16/25.62    (54)  all_58_22 = all_52_6
% 169.16/25.62    (55)  all_56_3 = all_4_2
% 169.16/25.62    (56)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 169.16/25.62    (57)   ~ (all_52_2 = all_52_3)
% 169.16/25.62    (58)  all_58_25 = all_52_9
% 169.16/25.62    (59)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.16/25.62            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.16/25.62    (60)  all_58_21 = all_4_2
% 169.16/25.62    (61)   ~ (all_52_3 = e0)
% 169.16/25.62    (62)   ~ (e2 = e0)
% 169.16/25.62    (63)   ~ (all_52_1 = all_52_3)
% 169.16/25.62    (64)  all_58_28 = all_52_12
% 169.16/25.62    (65)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 169.16/25.62    (66)   ~ (e1 = e0)
% 169.16/25.62    (67)  all_56_7 = all_52_6
% 169.16/25.62    (68)  all_58_31 = e1
% 169.16/25.62    (69)   ~ (all_52_2 = all_10_2)
% 169.16/25.62    (70)   ~ (all_10_1 = e0)
% 169.16/25.62    (71)   ~ (all_52_12 = all_52_13)
% 169.16/25.62  
% 169.16/25.62  Begin of proof
% 169.16/25.62  | 
% 169.16/25.62  | BETA: splitting (6) gives:
% 169.16/25.62  | 
% 169.16/25.62  | Case 1:
% 169.16/25.62  | | 
% 169.16/25.62  | |   (72)  all_56_2 = e0
% 169.16/25.62  | | 
% 169.16/25.62  | | COMBINE_EQS: (40), (72) imply:
% 169.16/25.62  | |   (73)  all_52_1 = e0
% 169.16/25.62  | | 
% 169.16/25.62  | | COMBINE_EQS: (21), (73) imply:
% 169.16/25.62  | |   (74)  all_58_17 = e0
% 169.16/25.62  | | 
% 169.16/25.62  | | REDUCE: (43), (73) imply:
% 169.16/25.62  | |   (75)   ~ (all_52_2 = e0)
% 169.16/25.62  | | 
% 169.16/25.62  | | REDUCE: (63), (73) imply:
% 169.16/25.62  | |   (76)   ~ (all_52_3 = e0)
% 169.16/25.62  | | 
% 169.16/25.62  | | REDUCE: (16), (73) imply:
% 169.16/25.62  | |   (77)   ~ (all_6_2 = e0)
% 169.16/25.62  | | 
% 169.16/25.62  | | SIMP: (77) implies:
% 169.16/25.62  | |   (78)   ~ (all_6_2 = e0)
% 169.16/25.62  | | 
% 169.16/25.62  | | BETA: splitting (35) gives:
% 169.16/25.62  | | 
% 169.16/25.62  | | Case 1:
% 169.16/25.62  | | | 
% 169.16/25.62  | | |   (79)  all_56_1 = e0
% 169.16/25.62  | | | 
% 169.16/25.62  | | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (17), (23), (25), (27), (28),
% 169.16/25.62  | | |            (29), (31), (32), (33), (34), (36), (37), (41), (46), (49),
% 169.16/25.62  | | |            (51), (54), (55), (57), (60), (61), (62), (65), (66), (67),
% 169.16/25.62  | | |            (72), (74), (79) are inconsistent by sub-proof #12.
% 169.16/25.62  | | | 
% 169.16/25.62  | | Case 2:
% 169.16/25.62  | | | 
% 169.16/25.62  | | |   (80)   ~ (all_56_1 = e0)
% 169.16/25.62  | | | 
% 169.16/25.62  | | | REDUCE: (1), (80) imply:
% 169.16/25.62  | | |   (81)   ~ (all_52_4 = e0)
% 169.16/25.62  | | | 
% 169.16/25.62  | | | BETA: splitting (50) gives:
% 169.16/25.62  | | | 
% 169.16/25.62  | | | Case 1:
% 169.16/25.62  | | | | 
% 169.16/25.62  | | | |   (82)  all_56_0 = e0
% 169.16/25.62  | | | | 
% 169.16/25.62  | | | | COMBINE_EQS: (17), (82) imply:
% 169.16/25.62  | | | |   (83)  all_6_2 = e0
% 169.16/25.62  | | | | 
% 169.16/25.62  | | | | REDUCE: (78), (83) imply:
% 169.16/25.62  | | | |   (84)  $false
% 169.16/25.62  | | | | 
% 169.16/25.62  | | | | CLOSE: (84) is inconsistent.
% 169.16/25.62  | | | | 
% 169.16/25.62  | | | Case 2:
% 169.16/25.62  | | | | 
% 169.16/25.62  | | | |   (85)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 169.16/25.62  | | | | 
% 169.16/25.62  | | | | BETA: splitting (39) gives:
% 169.16/25.62  | | | | 
% 169.16/25.62  | | | | Case 1:
% 169.16/25.62  | | | | | 
% 169.16/25.62  | | | | |   (86)  all_56_4 = e0
% 169.16/25.62  | | | | | 
% 169.16/25.62  | | | | | COMBINE_EQS: (44), (86) imply:
% 169.16/25.62  | | | | |   (87)  all_52_8 = e0
% 169.16/25.62  | | | | | 
% 169.16/25.62  | | | | | COMBINE_EQS: (53), (87) imply:
% 169.16/25.62  | | | | |   (88)  all_58_24 = e0
% 169.16/25.62  | | | | | 
% 169.16/25.62  | | | | | REDUCE: (3), (87) imply:
% 169.16/25.62  | | | | |   (89)   ~ (all_52_12 = e0)
% 169.16/25.62  | | | | | 
% 169.16/25.62  | | | | | REDUCE: (48), (87) imply:
% 169.16/25.62  | | | | |   (90)   ~ (all_14_0 = e0)
% 169.16/25.62  | | | | | 
% 169.16/25.62  | | | | | SIMP: (90) implies:
% 169.16/25.62  | | | | |   (91)   ~ (all_14_0 = e0)
% 169.16/25.62  | | | | | 
% 169.16/25.62  | | | | | REDUCE: (22), (87) imply:
% 169.16/25.62  | | | | |   (92)  op(e3, e1) = e0
% 169.16/25.62  | | | | | 
% 169.16/25.62  | | | | | REF_CLOSE: (1), (7), (8), (9), (10), (11), (12), (13), (14), (15),
% 169.16/25.62  | | | | |            (17), (18), (19), (20), (23), (24), (26), (30), (31), (34),
% 169.16/25.62  | | | | |            (36), (38), (42), (45), (47), (52), (56), (58), (59), (61),
% 169.16/25.62  | | | | |            (62), (64), (66), (68), (69), (70), (71), (74), (86), (88),
% 169.16/25.62  | | | | |            (91), (92) are inconsistent by sub-proof #188.
% 169.16/25.62  | | | | | 
% 169.16/25.62  | | | | Case 2:
% 169.16/25.62  | | | | | 
% 169.16/25.62  | | | | |   (93)   ~ (all_56_4 = e0)
% 169.16/25.62  | | | | | 
% 169.16/25.62  | | | | | REDUCE: (44), (93) imply:
% 169.16/25.62  | | | | |   (94)   ~ (all_52_8 = e0)
% 169.16/25.62  | | | | | 
% 169.16/25.62  | | | | | REF_CLOSE: (1), (24), (38), (44), (81), (85), (94) are inconsistent by
% 169.16/25.62  | | | | |            sub-proof #562.
% 169.16/25.62  | | | | | 
% 169.16/25.62  | | | | End of split
% 169.16/25.62  | | | | 
% 169.16/25.62  | | | End of split
% 169.16/25.62  | | | 
% 169.16/25.62  | | End of split
% 169.16/25.62  | | 
% 169.16/25.62  | Case 2:
% 169.16/25.62  | | 
% 169.16/25.62  | |   (95)  all_56_6 = e0 | all_56_12 = e0
% 169.16/25.62  | | 
% 169.16/25.62  | | REF_CLOSE: (2), (31), (51), (61), (95) are inconsistent by sub-proof #918.
% 169.16/25.62  | | 
% 169.16/25.62  | End of split
% 169.16/25.62  | 
% 169.16/25.62  End of proof
% 169.16/25.62  
% 169.16/25.62  Sub-proof #12 shows that the following formulas are inconsistent:
% 169.16/25.62  ----------------------------------------------------------------
% 169.16/25.62    (1)  all_56_1 = all_52_4
% 169.16/25.62    (2)  all_56_12 = all_52_3
% 169.16/25.62    (3)   ~ (e3 = e1)
% 169.16/25.62    (4)  all_58_23 = all_52_7
% 169.16/25.62    (5)   ~ (all_52_2 = all_6_2)
% 169.16/25.62    (6)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 169.16/25.62    (7)  all_56_0 = all_6_2
% 169.16/25.62    (8)  all_58_19 = all_52_3
% 169.16/25.62    (9)   ~ (all_52_2 = all_52_6)
% 169.16/25.62    (10)  all_56_2 = e0
% 169.16/25.62    (11)   ~ (all_52_4 = all_52_7)
% 169.16/25.62    (12)   ~ (e2 = e1)
% 169.16/25.62    (13)   ~ (all_52_7 = e1)
% 169.16/25.62    (14)   ~ (all_52_2 = e0)
% 169.16/25.62    (15)  all_56_1 = e0
% 169.16/25.62    (16)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.16/25.62    (17)   ~ (all_52_3 = e1)
% 169.16/25.62    (18)  all_58_18 = all_52_2
% 169.16/25.62    (19)  all_58_16 = all_6_2
% 169.16/25.62    (20)  all_56_13 = all_52_7
% 169.16/25.62    (21)   ~ (e3 = e0)
% 169.16/25.62    (22)  all_58_20 = all_52_4
% 169.16/25.62    (23)  all_58_17 = e0
% 169.16/25.62    (24)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 169.16/25.62    (25)  all_56_6 = all_52_2
% 169.16/25.62    (26)  all_58_22 = all_52_6
% 169.16/25.62    (27)  all_56_3 = all_4_2
% 169.16/25.62    (28)   ~ (all_52_2 = all_52_3)
% 169.16/25.62    (29)  all_58_21 = all_4_2
% 169.16/25.62    (30)   ~ (all_52_3 = e0)
% 169.16/25.62    (31)   ~ (e2 = e0)
% 169.16/25.62    (32)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 169.16/25.62    (33)   ~ (e1 = e0)
% 169.16/25.62    (34)  all_56_7 = all_52_6
% 169.16/25.62  
% 169.16/25.62  Begin of proof
% 169.16/25.62  | 
% 169.16/25.62  | COMBINE_EQS: (1), (15) imply:
% 169.16/25.62  |   (35)  all_52_4 = e0
% 169.16/25.62  | 
% 169.16/25.62  | COMBINE_EQS: (22), (35) imply:
% 169.16/25.62  |   (36)  all_58_20 = e0
% 169.16/25.62  | 
% 169.16/25.62  | REDUCE: (11), (35) imply:
% 169.16/25.62  |   (37)   ~ (all_52_7 = e0)
% 169.16/25.62  | 
% 169.16/25.62  | SIMP: (37) implies:
% 169.16/25.62  |   (38)   ~ (all_52_7 = e0)
% 169.16/25.62  | 
% 169.16/25.62  | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13), (14),
% 169.16/25.62  |            (15), (16), (17), (18), (19), (20), (21), (23), (24), (25), (26),
% 169.16/25.62  |            (27), (28), (29), (30), (31), (32), (33), (34), (36), (38) are
% 169.16/25.62  |            inconsistent by sub-proof #88.
% 169.16/25.62  | 
% 169.16/25.62  End of proof
% 169.16/25.62  
% 169.16/25.62  Sub-proof #13 shows that the following formulas are inconsistent:
% 169.16/25.62  ----------------------------------------------------------------
% 169.16/25.62    (1)  op(all_4_2, e2) = e0
% 169.16/25.62    (2)  all_56_12 = all_52_3
% 169.16/25.62    (3)   ~ (all_10_2 = e0)
% 169.16/25.62    (4)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 169.16/25.62    (5)  all_56_5 = all_52_9
% 169.16/25.62    (6)  op(e0, e2) = all_52_7
% 169.16/25.62    (7)  all_58_26 = all_10_2
% 169.16/25.62    (8)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 169.16/25.62    (9)  all_58_17 = all_52_1
% 169.16/25.62    (10)  all_58_19 = all_52_3
% 169.16/25.62    (11)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 169.16/25.62    (12)  op(e3, e0) = all_58_0
% 169.16/25.62    (13)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.16/25.62    (14)   ~ (all_52_3 = e1)
% 169.16/25.62    (15)   ~ (all_52_9 = all_14_0)
% 169.16/25.62    (16)  all_58_18 = all_52_2
% 169.16/25.62    (17)  all_58_16 = e0
% 169.16/25.62    (18)  op(e0, e3) = all_52_3
% 169.16/25.62    (19)   ~ (all_52_12 = e0)
% 169.16/25.62    (20)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 169.16/25.62    (21)  all_56_2 = all_52_1
% 169.16/25.62    (22)   ~ (all_14_0 = e1)
% 169.16/25.62    (23)   ~ (all_14_0 = all_10_2)
% 169.16/25.62    (24)  op(e0, e3) = all_6_1
% 169.16/25.62    (25)  op(e3, e0) = all_52_12
% 169.16/25.62    (26)   ~ (all_52_13 = e0)
% 169.16/25.62    (27)   ~ (all_52_7 = all_4_2)
% 169.16/25.62    (28)  all_56_4 = all_52_8
% 169.16/25.62    (29)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.16/25.62    (30)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 169.16/25.62    (31)   ~ (all_52_8 = all_14_0)
% 169.16/25.62    (32)   ~ (all_52_3 = all_14_0)
% 169.16/25.62    (33)  all_56_6 = all_52_2
% 169.16/25.62    (34)  all_58_27 = all_14_0
% 169.16/25.62    (35)  all_58_24 = all_52_8
% 169.16/25.62    (36)  op(all_6_1, e0) = e0
% 169.16/25.62    (37)  all_56_3 = all_4_2
% 169.16/25.62    (38)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 169.16/25.62    (39)   ~ (all_52_1 = e0)
% 169.16/25.62    (40)  all_58_25 = all_52_9
% 169.16/25.62    (41)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.16/25.62            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.16/25.62    (42)  all_54_12 = all_52_3
% 169.16/25.62    (43)  all_56_10 = all_52_13
% 169.16/25.62    (44)   ~ (all_52_3 = e0)
% 169.16/25.62    (45)  all_56_0 = e0
% 169.16/25.62    (46)   ~ (all_52_1 = all_52_3)
% 169.16/25.62    (47)  all_54_14 = all_14_0
% 169.16/25.62    (48)   ~ (all_52_8 = e0)
% 169.16/25.62    (49)   ~ (all_52_2 = all_10_2)
% 169.16/25.62  
% 169.16/25.62  Begin of proof
% 169.16/25.62  | 
% 169.16/25.62  | GROUND_INST: instantiating (41) with all_52_3, all_6_1, e3, e0, simplifying
% 169.16/25.62  |              with (18), (24) gives:
% 169.16/25.62  |   (50)  all_52_3 = all_6_1
% 169.16/25.62  | 
% 169.16/25.62  | GROUND_INST: instantiating (41) with all_52_12, all_58_0, e0, e3, simplifying
% 169.16/25.62  |              with (12), (25) gives:
% 169.16/25.62  |   (51)  all_58_0 = all_52_12
% 169.16/25.62  | 
% 169.16/25.62  | BETA: splitting (20) gives:
% 169.16/25.62  | 
% 169.16/25.62  | Case 1:
% 169.16/25.62  | | 
% 169.16/25.62  | |   (52)  all_56_4 = e0
% 169.16/25.62  | | 
% 169.16/25.62  | | COMBINE_EQS: (28), (52) imply:
% 169.16/25.62  | |   (53)  all_52_8 = e0
% 169.16/25.62  | | 
% 169.16/25.62  | | REDUCE: (48), (53) imply:
% 169.16/25.62  | |   (54)  $false
% 169.16/25.62  | | 
% 169.16/25.62  | | CLOSE: (54) is inconsistent.
% 169.16/25.62  | | 
% 169.16/25.62  | Case 2:
% 169.16/25.62  | | 
% 169.16/25.62  | |   (55)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 169.16/25.62  | | 
% 169.16/25.62  | | BETA: splitting (29) gives:
% 169.16/25.62  | | 
% 169.16/25.62  | | Case 1:
% 169.16/25.62  | | | 
% 169.16/25.62  | | |   (56)  all_56_2 = e0
% 169.16/25.62  | | | 
% 169.16/25.62  | | | COMBINE_EQS: (21), (56) imply:
% 169.16/25.62  | | |   (57)  all_52_1 = e0
% 169.16/25.62  | | | 
% 169.16/25.62  | | | REDUCE: (39), (57) imply:
% 169.16/25.62  | | |   (58)  $false
% 169.16/25.62  | | | 
% 169.16/25.62  | | | CLOSE: (58) is inconsistent.
% 169.16/25.62  | | | 
% 169.16/25.62  | | Case 2:
% 169.16/25.62  | | | 
% 169.16/25.62  | | |   (59)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.16/25.62  | | | 
% 169.16/25.62  | | | BETA: splitting (11) gives:
% 169.16/25.62  | | | 
% 169.16/25.62  | | | Case 1:
% 169.16/25.62  | | | | 
% 169.16/25.62  | | | |   (60)  all_54_14 = e0
% 169.16/25.62  | | | | 
% 169.16/25.62  | | | | REF_CLOSE: (1), (5), (6), (15), (26), (27), (37), (41), (43), (47),
% 169.16/25.62  | | | |            (59), (60) are inconsistent by sub-proof #14.
% 169.16/25.62  | | | | 
% 169.16/25.62  | | | Case 2:
% 169.16/25.62  | | | | 
% 169.16/25.62  | | | |   (61)   ~ (all_54_14 = e0)
% 169.16/25.62  | | | |   (62)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 169.16/25.62  | | | | 
% 169.16/25.62  | | | | REDUCE: (47), (61) imply:
% 169.16/25.62  | | | |   (63)   ~ (all_14_0 = e0)
% 169.16/25.62  | | | | 
% 169.16/25.62  | | | | BETA: splitting (55) gives:
% 169.16/25.62  | | | | 
% 169.16/25.62  | | | | Case 1:
% 169.16/25.62  | | | | | 
% 169.16/25.62  | | | | |   (64)  all_56_5 = e0
% 169.16/25.62  | | | | | 
% 169.16/25.62  | | | | | COMBINE_EQS: (5), (64) imply:
% 169.16/25.62  | | | | |   (65)  all_52_9 = e0
% 169.16/25.62  | | | | | 
% 169.16/25.62  | | | | | SIMP: (65) implies:
% 169.16/25.62  | | | | |   (66)  all_52_9 = e0
% 169.16/25.62  | | | | | 
% 169.16/25.62  | | | | | COMBINE_EQS: (40), (66) imply:
% 169.16/25.62  | | | | |   (67)  all_58_25 = e0
% 169.16/25.62  | | | | | 
% 169.16/25.62  | | | | | REF_CLOSE: (2), (3), (4), (7), (8), (9), (10), (12), (13), (14), (16),
% 169.16/25.62  | | | | |            (17), (18), (19), (21), (22), (23), (24), (25), (30), (31),
% 169.16/25.62  | | | | |            (32), (33), (34), (35), (36), (38), (41), (42), (44), (45),
% 169.16/25.62  | | | | |            (46), (47), (49), (62), (63), (67) are inconsistent by
% 169.16/25.62  | | | | |            sub-proof #186.
% 169.16/25.62  | | | | | 
% 169.16/25.62  | | | | Case 2:
% 169.16/25.62  | | | | | 
% 169.16/25.62  | | | | |   (68)   ~ (all_56_5 = e0)
% 169.16/25.62  | | | | | 
% 169.16/25.62  | | | | | REDUCE: (5), (68) imply:
% 169.16/25.62  | | | | |   (69)   ~ (all_52_9 = e0)
% 169.16/25.62  | | | | | 
% 169.16/25.62  | | | | | REF_CLOSE: (1), (5), (6), (26), (27), (37), (41), (43), (59), (69) are
% 169.16/25.62  | | | | |            inconsistent by sub-proof #127.
% 169.16/25.62  | | | | | 
% 169.16/25.62  | | | | End of split
% 169.16/25.62  | | | | 
% 169.16/25.62  | | | End of split
% 169.16/25.62  | | | 
% 169.16/25.62  | | End of split
% 169.16/25.62  | | 
% 169.16/25.62  | End of split
% 169.16/25.62  | 
% 169.16/25.62  End of proof
% 169.16/25.62  
% 169.16/25.62  Sub-proof #14 shows that the following formulas are inconsistent:
% 169.16/25.62  ----------------------------------------------------------------
% 169.16/25.62    (1)  op(all_4_2, e2) = e0
% 169.16/25.62    (2)  all_56_5 = all_52_9
% 169.16/25.62    (3)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.16/25.62    (4)  op(e0, e2) = all_52_7
% 169.16/25.62    (5)   ~ (all_52_9 = all_14_0)
% 169.16/25.62    (6)  all_54_14 = e0
% 169.16/25.62    (7)   ~ (all_52_13 = e0)
% 169.16/25.62    (8)   ~ (all_52_7 = all_4_2)
% 169.16/25.62    (9)  all_56_3 = all_4_2
% 169.16/25.62    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.16/25.62            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.16/25.62    (11)  all_56_10 = all_52_13
% 169.16/25.62    (12)  all_54_14 = all_14_0
% 169.16/25.62  
% 169.16/25.62  Begin of proof
% 169.16/25.62  | 
% 169.16/25.62  | COMBINE_EQS: (6), (12) imply:
% 169.16/25.62  |   (13)  all_14_0 = e0
% 169.16/25.62  | 
% 169.16/25.62  | SIMP: (13) implies:
% 169.16/25.62  |   (14)  all_14_0 = e0
% 169.16/25.62  | 
% 169.16/25.62  | REDUCE: (5), (14) imply:
% 169.16/25.62  |   (15)   ~ (all_52_9 = e0)
% 169.16/25.62  | 
% 169.16/25.62  | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (10), (11), (15) are
% 169.16/25.62  |            inconsistent by sub-proof #127.
% 169.16/25.62  | 
% 169.16/25.62  End of proof
% 169.16/25.62  
% 169.16/25.62  Sub-proof #15 shows that the following formulas are inconsistent:
% 169.16/25.62  ----------------------------------------------------------------
% 169.16/25.62    (1)  all_56_1 = all_52_4
% 169.16/25.62    (2)  all_56_12 = all_52_3
% 169.16/25.62    (3)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 169.16/25.62    (4)   ~ (all_52_8 = all_52_12)
% 169.16/25.62    (5)   ~ (e3 = e1)
% 169.16/25.62    (6)  all_58_23 = all_52_7
% 169.16/25.62    (7)   ~ (all_14_1 = e1)
% 169.16/25.62    (8)   ~ (all_52_2 = all_6_2)
% 169.16/25.62    (9)   ~ (all_52_4 = all_4_2)
% 169.16/25.62    (10)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 169.16/25.62    (11)  all_50_0 = all_14_0
% 169.16/25.62    (12)  all_54_3 = all_52_12
% 169.16/25.62    (13)  all_56_5 = all_52_9
% 169.16/25.62    (14)   ~ (all_52_12 = all_6_2)
% 169.16/25.62    (15)   ~ (all_52_6 = all_4_2)
% 169.16/25.62    (16)  all_56_11 = all_14_1
% 169.16/25.62    (17)   ~ (all_52_13 = e1)
% 169.16/25.62    (18)  op(all_14_1, e1) = all_14_0
% 169.16/25.62    (19)  all_54_6 = all_52_9
% 169.16/25.62    (20)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 169.16/25.62    (21)   ~ (all_52_13 = all_4_2)
% 169.16/25.62    (22)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 169.16/25.62    (23)   ~ (all_50_0 = e2) |  ~ (all_50_1 = e3)
% 169.16/25.62    (24)  all_58_26 = all_10_2
% 169.16/25.62    (25)   ~ (all_52_4 = all_52_6)
% 169.16/25.62    (26)   ~ (all_52_9 = all_52_13)
% 169.16/25.62    (27)   ~ (all_52_3 = all_6_2)
% 169.16/25.62    (28)   ~ (all_52_6 = all_14_1)
% 169.16/25.62    (29)   ~ (all_52_1 = all_6_2)
% 169.16/25.62    (30)  all_54_2 = all_52_8
% 169.16/25.62    (31)   ~ (all_52_6 = all_52_7)
% 169.16/25.62    (32)  all_56_0 = all_6_2
% 169.16/25.62    (33)   ~ (all_52_9 = all_10_2)
% 169.16/25.62    (34)  all_58_30 = all_52_14
% 169.16/25.62    (35)  all_58_17 = all_52_1
% 169.16/25.62    (36)  op(e3, e1) = all_52_8
% 169.16/25.62    (37)  all_58_19 = all_52_3
% 169.16/25.62    (38)  all_56_9 = all_52_12
% 169.16/25.62    (39)   ~ (all_52_2 = all_52_6)
% 169.16/25.62    (40)   ~ (all_52_12 = e1)
% 169.16/25.62    (41)   ~ (e3 = e2)
% 169.16/25.62    (42)  all_58_30 = all_14_1
% 169.16/25.62    (43)   ~ (all_52_6 = all_10_2)
% 169.16/25.62    (44)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 169.16/25.62    (45)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 169.16/25.62    (46)  all_54_9 = all_52_6
% 169.16/25.62    (47)   ~ (all_52_13 = all_52_14)
% 169.16/25.62    (48)  all_58_18 = all_52_2
% 169.16/25.62    (49)  all_58_16 = all_6_2
% 169.16/25.62    (50)   ~ (all_52_8 = all_52_9)
% 169.16/25.62    (51)   ~ (all_52_4 = all_6_2)
% 169.16/25.62    (52)  all_50_1 = all_14_1
% 169.16/25.62    (53)  all_56_2 = all_52_1
% 169.16/25.62    (54)   ~ (all_14_0 = e1)
% 169.16/25.62    (55)   ~ (e3 = e0)
% 169.16/25.62    (56)  all_58_29 = all_52_13
% 169.16/25.62    (57)   ~ (all_52_1 = all_52_2)
% 169.16/25.62    (58)   ~ (all_52_8 = all_10_2)
% 169.16/25.62    (59)  all_56_4 = all_52_8
% 169.16/25.62    (60)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.16/25.62    (61)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 169.16/25.62    (62)  all_54_3 = e0
% 169.16/25.62    (63)   ~ (all_52_1 = all_52_13)
% 169.16/25.62    (64)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 169.16/25.62    (65)  all_58_20 = all_52_4
% 169.16/25.62    (66)  all_54_10 = all_10_2
% 169.16/25.62    (67)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 169.16/25.62    (68)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 169.16/25.62    (69)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 169.16/25.62    (70)   ~ (all_52_2 = all_14_1)
% 169.16/25.62    (71)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 169.16/25.62    (72)   ~ (all_52_8 = all_6_2)
% 169.16/25.62    (73)  all_56_6 = all_52_2
% 169.16/25.62    (74)  all_58_24 = all_52_8
% 169.16/25.62    (75)  all_58_22 = all_52_6
% 169.16/25.62    (76)  all_56_3 = all_4_2
% 169.16/25.63    (77)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 169.16/25.63    (78)  all_54_0 = all_6_2
% 169.16/25.63    (79)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 169.16/25.63    (80)   ~ (all_52_2 = all_52_3)
% 169.16/25.63    (81)   ~ (all_52_4 = all_52_8)
% 169.16/25.63    (82)  all_58_25 = all_52_9
% 169.16/25.63    (83)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 169.16/25.63    (84)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.16/25.63            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.16/25.63    (85)  all_54_12 = all_52_3
% 169.16/25.63    (86)  all_58_21 = all_4_2
% 169.16/25.63    (87)  all_56_10 = all_52_13
% 169.16/25.63    (88)   ~ (all_52_3 = e0)
% 169.16/25.63    (89)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 169.16/25.63    (90)   ~ (all_52_1 = all_52_3)
% 169.16/25.63    (91)  all_58_28 = all_52_12
% 169.16/25.63    (92)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 169.16/25.63    (93)  all_56_7 = all_52_6
% 169.16/25.63    (94)  all_58_31 = e1
% 169.16/25.63    (95)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 169.16/25.63          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 169.16/25.63          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 169.16/25.63          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 169.16/25.63          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 169.16/25.63          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 169.16/25.63          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 169.16/25.63          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 169.16/25.63          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 169.16/25.63          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 169.16/25.63            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 169.16/25.63            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 169.16/25.63            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 169.16/25.63            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 169.16/25.63            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 169.16/25.63            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 169.16/25.63            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 169.16/25.63            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 169.16/25.63            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 169.16/25.63            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 169.16/25.63            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 169.16/25.63            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 169.16/25.63            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 169.16/25.63            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 169.16/25.63            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 169.16/25.63            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 169.16/25.63          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 169.16/25.63          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 169.16/25.63          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 169.16/25.63            all_58_30 = e0 & e1 = e0)
% 169.16/25.63    (96)   ~ (all_52_2 = all_10_2)
% 169.16/25.63    (97)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 169.16/25.63    (98)  all_56_15 = e1
% 169.16/25.63    (99)   ~ (all_52_12 = all_52_13)
% 169.16/25.63  
% 169.16/25.63  Begin of proof
% 169.16/25.63  | 
% 169.16/25.63  | COMBINE_EQS: (12), (62) imply:
% 169.16/25.63  |   (100)  all_52_12 = e0
% 169.16/25.63  | 
% 169.16/25.63  | SIMP: (100) implies:
% 169.16/25.63  |   (101)  all_52_12 = e0
% 169.16/25.63  | 
% 169.16/25.63  | COMBINE_EQS: (38), (101) imply:
% 169.16/25.63  |   (102)  all_56_9 = e0
% 169.16/25.63  | 
% 169.16/25.63  | COMBINE_EQS: (91), (101) imply:
% 169.16/25.63  |   (103)  all_58_28 = e0
% 169.16/25.63  | 
% 169.16/25.63  | REDUCE: (4), (101) imply:
% 169.16/25.63  |   (104)   ~ (all_52_8 = e0)
% 169.16/25.63  | 
% 169.16/25.63  | REDUCE: (99), (101) imply:
% 169.16/25.63  |   (105)   ~ (all_52_13 = e0)
% 169.16/25.63  | 
% 169.16/25.63  | SIMP: (105) implies:
% 169.16/25.63  |   (106)   ~ (all_52_13 = e0)
% 169.16/25.63  | 
% 169.16/25.63  | REDUCE: (14), (101) imply:
% 169.16/25.63  |   (107)   ~ (all_6_2 = e0)
% 169.16/25.63  | 
% 169.16/25.63  | SIMP: (107) implies:
% 169.16/25.63  |   (108)   ~ (all_6_2 = e0)
% 169.16/25.63  | 
% 169.16/25.63  | REDUCE: (40), (101) imply:
% 169.16/25.63  |   (109)   ~ (e1 = e0)
% 169.16/25.63  | 
% 169.16/25.63  | SIMP: (109) implies:
% 169.16/25.63  |   (110)   ~ (e1 = e0)
% 169.16/25.63  | 
% 169.16/25.63  | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (13), (15),
% 169.16/25.63  |            (16), (17), (18), (19), (20), (21), (22), (23), (24), (25), (26),
% 169.16/25.63  |            (27), (28), (29), (30), (31), (32), (33), (34), (35), (36), (37),
% 169.16/25.63  |            (38), (39), (40), (41), (42), (43), (44), (45), (46), (47), (48),
% 169.16/25.63  |            (49), (50), (51), (52), (53), (54), (55), (56), (57), (58), (59),
% 169.16/25.63  |            (60), (61), (63), (64), (65), (66), (67), (68), (69), (70), (71),
% 169.16/25.63  |            (72), (73), (74), (75), (76), (77), (78), (79), (80), (81), (82),
% 169.16/25.63  |            (83), (84), (85), (86), (87), (88), (89), (90), (92), (93), (94),
% 169.16/25.63  |            (95), (96), (97), (98), (102), (103), (104), (106), (108), (110)
% 169.16/25.63  |            are inconsistent by sub-proof #16.
% 169.16/25.63  | 
% 169.16/25.63  End of proof
% 169.16/25.63  
% 169.16/25.63  Sub-proof #16 shows that the following formulas are inconsistent:
% 169.16/25.63  ----------------------------------------------------------------
% 169.16/25.63    (1)  all_56_1 = all_52_4
% 169.16/25.63    (2)  all_56_12 = all_52_3
% 169.16/25.63    (3)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 169.16/25.63    (4)   ~ (e3 = e1)
% 169.16/25.63    (5)  all_58_23 = all_52_7
% 169.16/25.63    (6)   ~ (all_14_1 = e1)
% 169.16/25.63    (7)   ~ (all_52_2 = all_6_2)
% 169.16/25.63    (8)   ~ (all_52_4 = all_4_2)
% 169.16/25.63    (9)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 169.16/25.63    (10)  all_50_0 = all_14_0
% 169.16/25.63    (11)  all_56_5 = all_52_9
% 169.16/25.63    (12)   ~ (all_52_6 = all_4_2)
% 169.16/25.63    (13)  all_56_11 = all_14_1
% 169.16/25.63    (14)   ~ (all_52_13 = e1)
% 169.16/25.63    (15)  op(all_14_1, e1) = all_14_0
% 169.16/25.63    (16)  all_54_6 = all_52_9
% 169.16/25.63    (17)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 169.16/25.63    (18)   ~ (all_52_13 = all_4_2)
% 169.16/25.63    (19)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 169.16/25.63    (20)   ~ (all_50_0 = e2) |  ~ (all_50_1 = e3)
% 169.16/25.63    (21)  all_58_26 = all_10_2
% 169.16/25.63    (22)   ~ (all_52_4 = all_52_6)
% 169.16/25.63    (23)   ~ (all_52_9 = all_52_13)
% 169.16/25.63    (24)   ~ (all_52_3 = all_6_2)
% 169.16/25.63    (25)   ~ (all_52_6 = all_14_1)
% 169.16/25.63    (26)  all_56_9 = e0
% 169.16/25.63    (27)   ~ (all_52_1 = all_6_2)
% 169.16/25.63    (28)  all_54_2 = all_52_8
% 169.16/25.63    (29)   ~ (all_52_6 = all_52_7)
% 169.16/25.63    (30)  all_56_0 = all_6_2
% 169.16/25.63    (31)   ~ (all_52_9 = all_10_2)
% 169.16/25.63    (32)  all_58_30 = all_52_14
% 169.16/25.63    (33)  all_58_17 = all_52_1
% 169.16/25.63    (34)  op(e3, e1) = all_52_8
% 169.16/25.63    (35)  all_58_19 = all_52_3
% 169.16/25.63    (36)  all_56_9 = all_52_12
% 169.16/25.63    (37)   ~ (all_52_2 = all_52_6)
% 169.16/25.63    (38)   ~ (all_52_12 = e1)
% 169.16/25.63    (39)   ~ (e3 = e2)
% 169.16/25.63    (40)  all_58_30 = all_14_1
% 169.16/25.63    (41)   ~ (all_52_6 = all_10_2)
% 169.16/25.63    (42)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 169.16/25.63    (43)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 169.16/25.63    (44)  all_58_28 = e0
% 169.16/25.63    (45)  all_54_9 = all_52_6
% 169.16/25.63    (46)   ~ (all_52_13 = all_52_14)
% 169.16/25.63    (47)  all_58_18 = all_52_2
% 169.16/25.63    (48)  all_58_16 = all_6_2
% 169.16/25.63    (49)   ~ (all_52_8 = all_52_9)
% 169.16/25.63    (50)   ~ (all_52_4 = all_6_2)
% 169.16/25.63    (51)  all_50_1 = all_14_1
% 169.16/25.63    (52)  all_56_2 = all_52_1
% 169.16/25.63    (53)   ~ (all_14_0 = e1)
% 169.16/25.63    (54)   ~ (e3 = e0)
% 169.16/25.63    (55)  all_58_29 = all_52_13
% 169.16/25.63    (56)   ~ (all_52_1 = all_52_2)
% 169.16/25.63    (57)   ~ (all_52_13 = e0)
% 169.16/25.63    (58)   ~ (all_6_2 = e0)
% 169.16/25.63    (59)   ~ (all_52_8 = all_10_2)
% 169.16/25.63    (60)  all_56_4 = all_52_8
% 169.16/25.63    (61)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.16/25.63    (62)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 169.16/25.63    (63)   ~ (all_52_1 = all_52_13)
% 169.16/25.63    (64)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 169.16/25.63    (65)  all_58_20 = all_52_4
% 169.16/25.63    (66)  all_54_10 = all_10_2
% 169.16/25.63    (67)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 169.16/25.63    (68)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 169.16/25.63    (69)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 169.16/25.63    (70)   ~ (all_52_2 = all_14_1)
% 169.16/25.63    (71)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 169.16/25.63    (72)   ~ (all_52_8 = all_6_2)
% 169.16/25.63    (73)  all_56_6 = all_52_2
% 169.16/25.63    (74)  all_58_24 = all_52_8
% 169.16/25.63    (75)  all_58_22 = all_52_6
% 169.16/25.63    (76)  all_56_3 = all_4_2
% 169.16/25.63    (77)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 169.16/25.63    (78)  all_54_0 = all_6_2
% 169.16/25.63    (79)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 169.16/25.63    (80)   ~ (all_52_2 = all_52_3)
% 169.16/25.63    (81)   ~ (all_52_4 = all_52_8)
% 169.16/25.63    (82)  all_58_25 = all_52_9
% 169.16/25.63    (83)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 169.16/25.63    (84)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.16/25.63            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.16/25.63    (85)  all_54_12 = all_52_3
% 169.16/25.63    (86)  all_58_21 = all_4_2
% 169.16/25.63    (87)  all_56_10 = all_52_13
% 169.16/25.63    (88)   ~ (all_52_3 = e0)
% 169.16/25.63    (89)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 169.16/25.63    (90)   ~ (all_52_1 = all_52_3)
% 169.16/25.63    (91)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 169.16/25.63    (92)   ~ (e1 = e0)
% 169.16/25.63    (93)  all_56_7 = all_52_6
% 169.16/25.63    (94)  all_58_31 = e1
% 169.16/25.63    (95)   ~ (all_52_8 = e0)
% 169.16/25.63    (96)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 169.16/25.63          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 169.16/25.63          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 169.16/25.63          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 169.16/25.63          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 169.16/25.63          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 169.16/25.63          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 169.16/25.63          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 169.16/25.63          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 169.16/25.63          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 169.16/25.63            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 169.16/25.63            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 169.16/25.63            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 169.16/25.63            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 169.16/25.63            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 169.16/25.63            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 169.16/25.63            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 169.16/25.63            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 169.16/25.63            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 169.16/25.63            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 169.16/25.63            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 169.16/25.63            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 169.16/25.63            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 169.16/25.63            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 169.16/25.63            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 169.16/25.63            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 169.16/25.63          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 169.16/25.63          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 169.16/25.63          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 169.16/25.63            all_58_30 = e0 & e1 = e0)
% 169.16/25.63    (97)   ~ (all_52_2 = all_10_2)
% 169.16/25.63    (98)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 169.16/25.63    (99)  all_56_15 = e1
% 169.16/25.63  
% 169.16/25.63  Begin of proof
% 169.16/25.63  | 
% 169.16/25.63  | BETA: splitting (19) gives:
% 169.16/25.63  | 
% 169.16/25.63  | Case 1:
% 169.16/25.63  | | 
% 169.16/25.63  | |   (100)  all_58_31 = e0
% 169.16/25.63  | | 
% 169.16/25.63  | | COMBINE_EQS: (94), (100) imply:
% 169.16/25.63  | |   (101)  e1 = e0
% 169.16/25.63  | | 
% 169.16/25.63  | | REDUCE: (92), (101) imply:
% 169.16/25.63  | |   (102)  $false
% 169.16/25.63  | | 
% 169.16/25.63  | | CLOSE: (102) is inconsistent.
% 169.16/25.63  | | 
% 169.16/25.63  | Case 2:
% 169.16/25.63  | | 
% 169.16/25.63  | |   (103)   ~ (all_58_31 = e0)
% 169.16/25.63  | |   (104)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 169.16/25.63  | | 
% 169.16/25.63  | | BETA: splitting (104) gives:
% 169.16/25.63  | | 
% 169.16/25.63  | | Case 1:
% 169.16/25.63  | | | 
% 169.16/25.63  | | |   (105)  all_58_30 = e1
% 169.16/25.63  | | | 
% 169.16/25.63  | | | COMBINE_EQS: (40), (105) imply:
% 169.16/25.63  | | |   (106)  all_14_1 = e1
% 169.16/25.63  | | | 
% 169.16/25.63  | | | REDUCE: (6), (106) imply:
% 169.16/25.63  | | |   (107)  $false
% 169.16/25.63  | | | 
% 169.16/25.63  | | | CLOSE: (107) is inconsistent.
% 169.16/25.63  | | | 
% 169.16/25.63  | | Case 2:
% 169.16/25.63  | | | 
% 169.16/25.63  | | |   (108)  all_58_28 = e3 | all_58_29 = e2
% 169.16/25.63  | | | 
% 169.16/25.63  | | | BETA: splitting (108) gives:
% 169.16/25.63  | | | 
% 169.16/25.63  | | | Case 1:
% 169.16/25.63  | | | | 
% 169.16/25.63  | | | |   (109)  all_58_29 = e2
% 169.16/25.63  | | | | 
% 169.16/25.63  | | | | COMBINE_EQS: (55), (109) imply:
% 169.16/25.63  | | | |   (110)  all_52_13 = e2
% 169.16/25.63  | | | | 
% 169.16/25.63  | | | | COMBINE_EQS: (87), (110) imply:
% 169.16/25.63  | | | |   (111)  all_56_10 = e2
% 169.16/25.63  | | | | 
% 169.16/25.63  | | | | REDUCE: (63), (110) imply:
% 169.16/25.63  | | | |   (112)   ~ (all_52_1 = e2)
% 169.16/25.63  | | | | 
% 169.16/25.63  | | | | REDUCE: (23), (110) imply:
% 169.16/25.63  | | | |   (113)   ~ (all_52_9 = e2)
% 169.16/25.63  | | | | 
% 169.16/25.63  | | | | REDUCE: (18), (110) imply:
% 169.16/25.63  | | | |   (114)   ~ (all_4_2 = e2)
% 169.16/25.63  | | | | 
% 169.16/25.63  | | | | SIMP: (114) implies:
% 169.16/25.63  | | | |   (115)   ~ (all_4_2 = e2)
% 169.16/25.63  | | | | 
% 169.16/25.63  | | | | REDUCE: (14), (110) imply:
% 169.16/25.63  | | | |   (116)   ~ (e2 = e1)
% 169.16/25.63  | | | | 
% 169.16/25.63  | | | | REDUCE: (57), (110) imply:
% 169.16/25.63  | | | |   (117)   ~ (e2 = e0)
% 169.16/25.63  | | | | 
% 169.16/25.63  | | | | BETA: splitting (42) gives:
% 169.16/25.63  | | | | 
% 169.16/25.63  | | | | Case 1:
% 169.16/25.63  | | | | | 
% 169.16/25.63  | | | | |   (118)  all_56_9 = e3
% 169.16/25.63  | | | | | 
% 169.16/25.63  | | | | | COMBINE_EQS: (26), (118) imply:
% 169.16/25.63  | | | | |   (119)  e3 = e0
% 169.16/25.63  | | | | | 
% 169.16/25.63  | | | | | SIMP: (119) implies:
% 169.16/25.63  | | | | |   (120)  e3 = e0
% 169.16/25.63  | | | | | 
% 169.16/25.63  | | | | | REDUCE: (54), (120) imply:
% 169.16/25.63  | | | | |   (121)  $false
% 169.16/25.63  | | | | | 
% 169.16/25.63  | | | | | CLOSE: (121) is inconsistent.
% 169.16/25.63  | | | | | 
% 169.16/25.63  | | | | Case 2:
% 169.16/25.63  | | | | | 
% 169.16/25.63  | | | | |   (122)  all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 169.16/25.63  | | | | | 
% 169.16/25.63  | | | | | BETA: splitting (122) gives:
% 169.16/25.63  | | | | | 
% 169.16/25.63  | | | | | Case 1:
% 169.16/25.63  | | | | | | 
% 169.16/25.63  | | | | | |   (123)  all_56_10 = e3
% 169.16/25.63  | | | | | | 
% 169.16/25.63  | | | | | | COMBINE_EQS: (111), (123) imply:
% 169.16/25.63  | | | | | |   (124)  e3 = e2
% 169.16/25.63  | | | | | | 
% 169.16/25.63  | | | | | | SIMP: (124) implies:
% 169.16/25.63  | | | | | |   (125)  e3 = e2
% 169.16/25.63  | | | | | | 
% 169.16/25.63  | | | | | | REDUCE: (39), (125) imply:
% 169.16/25.63  | | | | | |   (126)  $false
% 169.16/25.63  | | | | | | 
% 169.16/25.63  | | | | | | CLOSE: (126) is inconsistent.
% 169.16/25.63  | | | | | | 
% 169.16/25.63  | | | | | Case 2:
% 169.16/25.63  | | | | | | 
% 169.16/25.63  | | | | | |   (127)  all_56_11 = e3 | all_56_15 = e3
% 169.16/25.63  | | | | | | 
% 169.16/25.63  | | | | | | BETA: splitting (127) gives:
% 169.16/25.63  | | | | | | 
% 169.16/25.63  | | | | | | Case 1:
% 169.16/25.63  | | | | | | | 
% 169.16/25.63  | | | | | | |   (128)  all_56_11 = e3
% 169.16/25.63  | | | | | | | 
% 169.16/25.63  | | | | | | | COMBINE_EQS: (13), (128) imply:
% 169.16/25.63  | | | | | | |   (129)  all_14_1 = e3
% 169.16/25.63  | | | | | | | 
% 169.16/25.63  | | | | | | | COMBINE_EQS: (51), (129) imply:
% 169.16/25.63  | | | | | | |   (130)  all_50_1 = e3
% 169.16/25.63  | | | | | | | 
% 169.16/25.63  | | | | | | | COMBINE_EQS: (40), (129) imply:
% 169.16/25.63  | | | | | | |   (131)  all_58_30 = e3
% 169.16/25.63  | | | | | | | 
% 169.16/25.63  | | | | | | | REDUCE: (70), (129) imply:
% 169.16/25.63  | | | | | | |   (132)   ~ (all_52_2 = e3)
% 169.16/25.63  | | | | | | | 
% 169.16/25.63  | | | | | | | REDUCE: (25), (129) imply:
% 169.16/25.63  | | | | | | |   (133)   ~ (all_52_6 = e3)
% 169.16/25.63  | | | | | | | 
% 169.16/25.63  | | | | | | | REDUCE: (15), (129) imply:
% 169.16/25.63  | | | | | | |   (134)  op(e3, e1) = all_14_0
% 169.16/25.63  | | | | | | | 
% 169.16/25.63  | | | | | | | BETA: splitting (20) gives:
% 169.16/25.63  | | | | | | | 
% 169.16/25.63  | | | | | | | Case 1:
% 169.16/25.63  | | | | | | | | 
% 169.16/25.63  | | | | | | | |   (135)   ~ (all_50_0 = e2)
% 169.16/25.63  | | | | | | | | 
% 169.16/25.63  | | | | | | | | REDUCE: (10), (135) imply:
% 169.16/25.63  | | | | | | | |   (136)   ~ (all_14_0 = e2)
% 169.16/25.63  | | | | | | | | 
% 169.16/25.63  | | | | | | | | GROUND_INST: instantiating (84) with all_52_8, all_14_0, e1, e3,
% 169.16/25.63  | | | | | | | |              simplifying with (34), (134) gives:
% 169.16/25.63  | | | | | | | |   (137)  all_52_8 = all_14_0
% 169.16/25.63  | | | | | | | | 
% 169.16/25.63  | | | | | | | | COMBINE_EQS: (28), (137) imply:
% 169.16/25.63  | | | | | | | |   (138)  all_54_2 = all_14_0
% 169.16/25.63  | | | | | | | | 
% 169.16/25.63  | | | | | | | | COMBINE_EQS: (60), (137) imply:
% 169.16/25.63  | | | | | | | |   (139)  all_56_4 = all_14_0
% 169.16/25.63  | | | | | | | | 
% 169.16/25.63  | | | | | | | | COMBINE_EQS: (74), (137) imply:
% 169.16/25.63  | | | | | | | |   (140)  all_58_24 = all_14_0
% 169.16/25.63  | | | | | | | | 
% 169.16/25.63  | | | | | | | | REDUCE: (81), (137) imply:
% 169.16/25.63  | | | | | | | |   (141)   ~ (all_52_4 = all_14_0)
% 169.16/25.63  | | | | | | | | 
% 169.16/25.63  | | | | | | | | REDUCE: (49), (137) imply:
% 169.16/25.63  | | | | | | | |   (142)   ~ (all_52_9 = all_14_0)
% 169.16/25.63  | | | | | | | | 
% 169.16/25.63  | | | | | | | | SIMP: (142) implies:
% 169.16/25.63  | | | | | | | |   (143)   ~ (all_52_9 = all_14_0)
% 169.16/25.63  | | | | | | | | 
% 169.16/25.63  | | | | | | | | REDUCE: (59), (137) imply:
% 169.16/25.63  | | | | | | | |   (144)   ~ (all_14_0 = all_10_2)
% 169.16/25.63  | | | | | | | | 
% 169.16/25.63  | | | | | | | | REDUCE: (72), (137) imply:
% 169.16/25.63  | | | | | | | |   (145)   ~ (all_14_0 = all_6_2)
% 169.16/25.63  | | | | | | | | 
% 169.16/25.63  | | | | | | | | REDUCE: (95), (137) imply:
% 169.16/25.63  | | | | | | | |   (146)   ~ (all_14_0 = e0)
% 169.16/25.63  | | | | | | | | 
% 169.16/25.63  | | | | | | | | BETA: splitting (68) gives:
% 169.16/25.63  | | | | | | | | 
% 169.16/25.63  | | | | | | | | Case 1:
% 169.16/25.63  | | | | | | | | | 
% 169.16/25.63  | | | | | | | | |   (147)  all_54_2 = e0
% 169.16/25.63  | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | COMBINE_EQS: (138), (147) imply:
% 169.16/25.63  | | | | | | | | |   (148)  all_14_0 = e0
% 169.16/25.63  | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | SIMP: (148) implies:
% 169.16/25.63  | | | | | | | | |   (149)  all_14_0 = e0
% 169.16/25.63  | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | REDUCE: (146), (149) imply:
% 169.16/25.63  | | | | | | | | |   (150)  $false
% 169.16/25.63  | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | CLOSE: (150) is inconsistent.
% 169.16/25.63  | | | | | | | | | 
% 169.16/25.63  | | | | | | | | Case 2:
% 169.16/25.63  | | | | | | | | | 
% 169.16/25.63  | | | | | | | | |   (151)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1
% 169.16/25.63  | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | BETA: splitting (151) gives:
% 169.16/25.63  | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | Case 1:
% 169.16/25.63  | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | |   (152)  all_54_2 = e1
% 169.16/25.63  | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | COMBINE_EQS: (138), (152) imply:
% 169.16/25.63  | | | | | | | | | |   (153)  all_14_0 = e1
% 169.16/25.63  | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | SIMP: (153) implies:
% 169.16/25.63  | | | | | | | | | |   (154)  all_14_0 = e1
% 169.16/25.63  | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | REDUCE: (53), (154) imply:
% 169.16/25.63  | | | | | | | | | |   (155)  $false
% 169.16/25.63  | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | CLOSE: (155) is inconsistent.
% 169.16/25.63  | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | Case 2:
% 169.16/25.63  | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | |   (156)  all_54_2 = e3 | all_54_2 = e2
% 169.16/25.63  | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | BETA: splitting (156) gives:
% 169.16/25.63  | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | Case 1:
% 169.16/25.63  | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | |   (157)  all_54_2 = e2
% 169.16/25.63  | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | COMBINE_EQS: (138), (157) imply:
% 169.16/25.63  | | | | | | | | | | |   (158)  all_14_0 = e2
% 169.16/25.63  | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | SIMP: (158) implies:
% 169.16/25.63  | | | | | | | | | | |   (159)  all_14_0 = e2
% 169.16/25.63  | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | REDUCE: (136), (159) imply:
% 169.16/25.63  | | | | | | | | | | |   (160)  $false
% 169.16/25.63  | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | CLOSE: (160) is inconsistent.
% 169.16/25.63  | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | Case 2:
% 169.16/25.63  | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | |   (161)  all_54_2 = e3
% 169.16/25.63  | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | COMBINE_EQS: (138), (161) imply:
% 169.16/25.63  | | | | | | | | | | |   (162)  all_14_0 = e3
% 169.16/25.63  | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | SIMP: (162) implies:
% 169.16/25.63  | | | | | | | | | | |   (163)  all_14_0 = e3
% 169.16/25.63  | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | COMBINE_EQS: (139), (163) imply:
% 169.16/25.63  | | | | | | | | | | |   (164)  all_56_4 = e3
% 169.16/25.63  | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | COMBINE_EQS: (140), (163) imply:
% 169.16/25.63  | | | | | | | | | | |   (165)  all_58_24 = e3
% 169.16/25.63  | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | REDUCE: (141), (163) imply:
% 169.16/25.63  | | | | | | | | | | |   (166)   ~ (all_52_4 = e3)
% 169.16/25.63  | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | REDUCE: (143), (163) imply:
% 169.16/25.63  | | | | | | | | | | |   (167)   ~ (all_52_9 = e3)
% 169.16/25.63  | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | REDUCE: (144), (163) imply:
% 169.16/25.63  | | | | | | | | | | |   (168)   ~ (all_10_2 = e3)
% 169.16/25.63  | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | SIMP: (168) implies:
% 169.16/25.63  | | | | | | | | | | |   (169)   ~ (all_10_2 = e3)
% 169.16/25.63  | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | REDUCE: (145), (163) imply:
% 169.16/25.63  | | | | | | | | | | |   (170)   ~ (all_6_2 = e3)
% 169.16/25.63  | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | SIMP: (170) implies:
% 169.16/25.63  | | | | | | | | | | |   (171)   ~ (all_6_2 = e3)
% 169.16/25.63  | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | BETA: splitting (9) gives:
% 169.16/25.63  | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | Case 1:
% 169.16/25.63  | | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | |   (172)  all_58_19 = e0
% 169.16/25.63  | | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | | COMBINE_EQS: (35), (172) imply:
% 169.16/25.63  | | | | | | | | | | | |   (173)  all_52_3 = e0
% 169.16/25.63  | | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | | REDUCE: (88), (173) imply:
% 169.16/25.63  | | | | | | | | | | | |   (174)  $false
% 169.16/25.63  | | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | | CLOSE: (174) is inconsistent.
% 169.16/25.63  | | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | Case 2:
% 169.16/25.63  | | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | |   (175)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 169.16/25.63  | | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | | BETA: splitting (175) gives:
% 169.16/25.63  | | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | | Case 1:
% 169.16/25.63  | | | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | | |   (176)  all_58_18 = e1
% 169.16/25.63  | | | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | | | COMBINE_EQS: (47), (176) imply:
% 169.16/25.63  | | | | | | | | | | | | |   (177)  all_52_2 = e1
% 169.16/25.63  | | | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | | | SIMP: (177) implies:
% 169.16/25.63  | | | | | | | | | | | | |   (178)  all_52_2 = e1
% 169.16/25.63  | | | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | | | COMBINE_EQS: (73), (178) imply:
% 169.16/25.63  | | | | | | | | | | | | |   (179)  all_56_6 = e1
% 169.16/25.63  | | | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | | | REDUCE: (56), (178) imply:
% 169.16/25.63  | | | | | | | | | | | | |   (180)   ~ (all_52_1 = e1)
% 169.16/25.63  | | | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | | | REDUCE: (80), (178) imply:
% 169.16/25.63  | | | | | | | | | | | | |   (181)   ~ (all_52_3 = e1)
% 169.16/25.63  | | | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | | | SIMP: (181) implies:
% 169.16/25.63  | | | | | | | | | | | | |   (182)   ~ (all_52_3 = e1)
% 169.16/25.63  | | | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | | | REDUCE: (37), (178) imply:
% 169.16/25.63  | | | | | | | | | | | | |   (183)   ~ (all_52_6 = e1)
% 169.16/25.63  | | | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | | | SIMP: (183) implies:
% 169.16/25.63  | | | | | | | | | | | | |   (184)   ~ (all_52_6 = e1)
% 169.16/25.63  | | | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | | | REDUCE: (97), (178) imply:
% 169.16/25.63  | | | | | | | | | | | | |   (185)   ~ (all_10_2 = e1)
% 169.16/25.63  | | | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | | | SIMP: (185) implies:
% 169.16/25.63  | | | | | | | | | | | | |   (186)   ~ (all_10_2 = e1)
% 169.16/25.63  | | | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | | | REDUCE: (7), (178) imply:
% 169.16/25.63  | | | | | | | | | | | | |   (187)   ~ (all_6_2 = e1)
% 169.16/25.63  | | | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | | | SIMP: (187) implies:
% 169.16/25.63  | | | | | | | | | | | | |   (188)   ~ (all_6_2 = e1)
% 169.16/25.63  | | | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | | | REDUCE: (132), (178) imply:
% 169.16/25.63  | | | | | | | | | | | | |   (189)   ~ (e3 = e1)
% 169.16/25.63  | | | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | | | BETA: splitting (69) gives:
% 169.16/25.63  | | | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | | | Case 1:
% 169.16/25.63  | | | | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | | | |   (190)  all_56_6 = e0
% 169.16/25.63  | | | | | | | | | | | | | | 
% 169.16/25.63  | | | | | | | | | | | | | | COMBINE_EQS: (179), (190) imply:
% 169.16/25.63  | | | | | | | | | | | | | |   (191)  e1 = e0
% 169.16/25.63  | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | SIMP: (191) implies:
% 169.16/25.64  | | | | | | | | | | | | | |   (192)  e1 = e0
% 169.16/25.64  | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | COMBINE_EQS: (176), (192) imply:
% 169.16/25.64  | | | | | | | | | | | | | |   (193)  all_58_18 = e0
% 169.16/25.64  | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | REF_CLOSE: (3), (27), (33), (48), (58), (78), (92), (171),
% 169.16/25.64  | | | | | | | | | | | | | |            (175), (188), (193) are inconsistent by sub-proof
% 169.16/25.64  | | | | | | | | | | | | | |            #66.
% 169.16/25.64  | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | Case 2:
% 169.16/25.64  | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | |   (194)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 169.16/25.64  | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 169.16/25.64  | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | Case 1:
% 169.16/25.64  | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | |   (195)  all_56_7 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | COMBINE_EQS: (93), (195) imply:
% 169.16/25.64  | | | | | | | | | | | | | | |   (196)  all_52_6 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | SIMP: (196) implies:
% 169.16/25.64  | | | | | | | | | | | | | | |   (197)  all_52_6 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | COMBINE_EQS: (75), (197) imply:
% 169.16/25.64  | | | | | | | | | | | | | | |   (198)  all_58_22 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | REDUCE: (22), (197) imply:
% 169.16/25.64  | | | | | | | | | | | | | | |   (199)   ~ (all_52_4 = e0)
% 169.16/25.64  | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | REDUCE: (29), (197) imply:
% 169.16/25.64  | | | | | | | | | | | | | | |   (200)   ~ (all_52_7 = e0)
% 169.16/25.64  | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | SIMP: (200) implies:
% 169.16/25.64  | | | | | | | | | | | | | | |   (201)   ~ (all_52_7 = e0)
% 169.16/25.64  | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | REDUCE: (41), (197) imply:
% 169.16/25.64  | | | | | | | | | | | | | | |   (202)   ~ (all_10_2 = e0)
% 169.16/25.64  | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | SIMP: (202) implies:
% 169.16/25.64  | | | | | | | | | | | | | | |   (203)   ~ (all_10_2 = e0)
% 169.16/25.64  | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | REDUCE: (12), (197) imply:
% 169.16/25.64  | | | | | | | | | | | | | | |   (204)   ~ (all_4_2 = e0)
% 169.16/25.64  | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | SIMP: (204) implies:
% 169.16/25.64  | | | | | | | | | | | | | | |   (205)   ~ (all_4_2 = e0)
% 169.16/25.64  | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | REDUCE: (133), (197) imply:
% 169.16/25.64  | | | | | | | | | | | | | | |   (206)   ~ (e3 = e0)
% 169.16/25.64  | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 169.16/25.64  | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | Case 1:
% 169.16/25.64  | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | |   (207)  all_56_0 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | REF_CLOSE: (30), (58), (207) are inconsistent by sub-proof
% 169.16/25.64  | | | | | | | | | | | | | | | |            #939.
% 169.16/25.64  | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | Case 2:
% 169.16/25.64  | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | |   (208)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 169.16/25.64  | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.64  | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | |   (209)  all_56_2 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | COMBINE_EQS: (52), (209) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | |   (210)  all_52_1 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | SIMP: (210) implies:
% 169.16/25.64  | | | | | | | | | | | | | | | | |   (211)  all_52_1 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | COMBINE_EQS: (33), (211) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | |   (212)  all_58_17 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | REDUCE: (90), (211) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | |   (213)   ~ (all_52_3 = e0)
% 169.16/25.64  | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | REDUCE: (27), (211) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | |   (214)   ~ (all_6_2 = e0)
% 169.16/25.64  | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | BETA: splitting (17) gives:
% 169.16/25.64  | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | |   (215)  all_54_6 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16), (215) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | |   (216)  all_52_9 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | SIMP: (216) implies:
% 169.16/25.64  | | | | | | | | | | | | | | | | | |   (217)  all_52_9 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11), (217) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | |   (218)  all_56_5 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (4), (8), (30), (32), (36), (38), (44), (46),
% 169.16/25.64  | | | | | | | | | | | | | | | | | |            (52), (54), (55), (76), (77), (87), (89), (104),
% 169.16/25.64  | | | | | | | | | | | | | | | | | |            (116), (164), (180), (188), (199), (218) are
% 169.16/25.64  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #23.
% 169.16/25.64  | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | |   (219)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | |   (220)  all_54_6 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16), (220) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | |   (221)  all_52_9 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | SIMP: (221) implies:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | |   (222)  all_52_9 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (82), (222) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | |   (223)  all_58_25 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | BETA: splitting (77) gives:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | |   (224)  all_56_0 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (188), (224) are inconsistent by sub-proof
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | |            #24.
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | |   (225)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | BETA: splitting (98) gives:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | |   (226)  all_56_2 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (209), (226) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | |   (227)  e3 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (227) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | |   (228)  $false
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | CLOSE: (228) is inconsistent.
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | |   (229)  all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | |   (230)  all_54_10 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (66), (186), (230) are inconsistent by sub-proof
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | |            #931.
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | |   (231)   ~ (all_54_10 = e1)
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | |   (232)  all_54_10 = e3 | all_54_10 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (71) gives:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | |   (233)  all_58_23 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (201), (233) are inconsistent by sub-proof
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | |            #982.
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | |   (234)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | |   (235)  all_56_1 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1), (235) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | |   (236)  all_52_4 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (236) implies:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | |   (237)  all_52_4 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (65), (237) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | |   (238)  all_58_20 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | |   (239)  all_54_10 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (66), (239) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  all_10_2 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (240) implies:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | |   (241)  all_10_2 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21), (241) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | |   (242)  all_58_26 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (241) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | |   (243)   ~ (e3 = e2)
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (43) gives:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | |   (244)  all_56_0 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (30), (244) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | |   (245)  all_6_2 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (245) implies:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | |   (246)  all_6_2 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (48), (246) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | |   (247)  all_58_16 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (246) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | |   (248)   ~ (all_52_3 = e2)
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  all_56_3 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (76), (249) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  all_4_2 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (250) implies:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (251)  all_4_2 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (86), (251) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  all_58_21 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (62) gives:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  all_56_12 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2), (253) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  all_52_3 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (35), (254) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  all_58_19 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (96) gives:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  all_58_31 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (94), (256) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  e1 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (257) implies:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  e1 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (176), (258) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  all_58_18 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (33), (35), (39), (88), (92), (112), (247),
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (259) are inconsistent by sub-proof #962.
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  all_58_22 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (198), (261) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  e1 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (176), (262) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  all_58_18 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (33), (35), (39), (88), (92), (112), (247),
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (263) are inconsistent by sub-proof #962.
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)   ~ (all_58_22 = e1)
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  all_58_20 = e3 | all_58_21 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (264) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)   ~ (e1 = e0)
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  all_58_26 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (242), (267) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  e2 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (268) implies:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  e2 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (109), (269) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  all_58_29 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (54), (108), (116), (270) are inconsistent
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #509.
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)   ~ (all_58_26 = e1)
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_18 = e1 & all_58_20 = e3 & all_58_24 =
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_20 = e3 & all_58_28 = e0) | (all_58_17 =
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_17 = e3 & all_58_20 = e3 &
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_23 = e2 & all_58_29 = e2) | (all_58_17 =
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3) | (all_58_17 = e2 & all_58_19 = e3 &
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_20 = e2 & all_58_28 = e3) | (all_58_17 =
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_23 = e0 & all_58_29 = e0) | (all_58_17 =
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_19 = e0 & all_58_24 = e3 & all_58_28 =
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_24 = e3 & all_58_25 = e1) | (all_58_18 =
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_24 = e1 & all_58_28 = e3) | (all_58_18 =
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_18 =
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_28 = e3 & all_58_29 =
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 =
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 =
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_25 = e2 & all_58_29 =
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_22 = e2 & all_58_25 = e2 &
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e1 & all_58_30 = e1) | (all_58_22 =
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_22 = e1 & all_58_25 = e1 &
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_22 =
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_27 = e0 & all_58_29 = e2 & all_58_30 =
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_23 = e0 & all_58_27 = e1 &
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_29 = e0 & all_58_30 = e1) | (all_58_23 =
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0 & e1 = e0)
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  all_58_21 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (273) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  e3 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (274) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)  $false
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (275) is inconsistent.
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)   ~ (all_58_21 = e2)
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)  all_58_16 = e3 | (all_58_17 = e3 & all_58_18 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_20 = e3 & all_58_24 = e1) | (all_58_17
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0) | (all_58_17 = e3 & all_58_20 =
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_22 = e2 & all_58_25 = e2) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_18 = e1 & all_58_24
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 =
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e3 & all_58_29 = e0) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_19 = e0 & all_58_23
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_19 = e0 & all_58_28
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e3 = e0) | (all_58_22 = e2 & all_58_23 =
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_25 = e2 & all_58_29 = e0) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  all_58_16 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (247), (278) are inconsistent by sub-proof
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #964.
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)   ~ (all_58_16 = e3)
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (282) gives:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2)
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (283) gives:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (284) implies:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  all_58_24 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  all_58_17 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (212), (286) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  e3 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (165), (285) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  e3 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (288) implies:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  e3 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (289) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  e1 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (48), (92), (171), (175), (176), (286),
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (290) are inconsistent by sub-proof #22.
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_17 = e3 & all_58_20
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_22 = e2 & all_58_25 = e2)
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (292) implies:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  all_58_20 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  all_58_19 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  all_58_17 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (294) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  e3 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (48), (92), (171), (175), (176), (238),
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (293), (295), (296) are inconsistent by sub-proof
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #21.
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 &
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (297) implies:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  all_58_25 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  all_58_22 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  all_58_17 = e3
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (198), (299) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  e2 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (223), (298) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  e2 = e1
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (302) imply:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  e1 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (303) implies:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  e1 = e0
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (48), (92), (171), (175), (176), (300),
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (304) are inconsistent by sub-proof #22.
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 169.16/25.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3)
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (307) implies:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  all_58_20 = e3
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  all_58_17 = e3
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (212), (309) imply:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  e3 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (48), (92), (171), (175), (176), (238),
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (308), (309), (310) are inconsistent by sub-proof
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #21.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e3
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (311) implies:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  all_58_18 = e3
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (48), (117), (171), (175), (212), (312) are
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #461.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 &
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (314) implies:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  all_58_20 = e2
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (86), (115), (265), (315) are inconsistent
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #212.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (316) implies:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  all_58_20 = e2
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (86), (115), (265), (317) are inconsistent
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #212.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0)
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (318) gives:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (319) gives:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2)
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (321) implies:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  all_58_20 = e2
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (86), (115), (265), (322) are inconsistent
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #212.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  all_58_17 = e2 & all_58_20 = e2 & e3 = e2
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (323) implies:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  all_58_20 = e2
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (86), (115), (265), (324) are inconsistent
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #212.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1)
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (48), (117), (171), (175), (212), (325) are
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #373.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (326) gives:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3)
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (327) gives:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (328) implies:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  all_58_18 = e3
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (48), (117), (171), (175), (212), (329) are
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #461.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (330) implies:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  all_58_28 = e3
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  all_58_24 = e1
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (165), (332) imply:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  e3 = e1
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (333) implies:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  e3 = e1
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (44), (331) imply:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  e3 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (335) imply:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  e1 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (176), (336) imply:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  all_58_18 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (33), (35), (39), (88), (92), (112), (247),
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (337) are inconsistent by sub-proof #962.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 &
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (339) implies:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  all_58_25 = e2
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  all_58_22 = e2
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (33), (35), (39), (88), (92), (112), (176),
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (198), (223), (247), (340), (341) are inconsistent
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #20.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (342) implies:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  all_58_30 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  all_58_24 = e1
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (165), (344) imply:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  e3 = e1
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (345) implies:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (346)  e3 = e1
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (131), (343) imply:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  e3 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (347) implies:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  e3 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (346), (348) imply:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  e1 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (176), (349) imply:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  all_58_18 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (33), (35), (39), (88), (92), (112), (247),
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (350) are inconsistent by sub-proof #962.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (351) gives:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (352)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (352) gives:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (353)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (353) gives:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (354)  all_58_18 = e1 & all_58_24 = e1 & e3 = e1
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (354) implies:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (355)  all_58_24 = e1
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (165), (355) are inconsistent by sub-proof
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #305.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (356)  (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (356) gives:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (357)  all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (357) implies:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (358)  all_58_23 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (44), (54), (92), (109), (116), (117), (131),
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (165), (176), (212), (223), (238), (255), (280),
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (358) are inconsistent by sub-proof #302.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (359)  all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (359) implies:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  all_58_30 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (65), (117), (131), (166), (252), (265), (360) are
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #19.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (361)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (362)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1)
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (362) gives:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (363) implies:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  all_58_19 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (65), (117), (166), (252), (255), (265), (364) are
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #18.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (365)  all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (365) implies:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (366)  all_58_30 = e1
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (367)  all_58_19 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (367) imply:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (368)  e3 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (131), (366) imply:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (369)  e3 = e1
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (369) implies:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (370)  e3 = e1
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (368), (370) imply:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (371)  e1 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (176), (371) imply:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (372)  all_58_18 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (33), (35), (39), (88), (92), (112), (247),
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (372) are inconsistent by sub-proof #962.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (373)  (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (373) gives:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (374)  all_58_19 = e0 & all_58_28 = e0 & e3 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (374) implies:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (375)  all_58_19 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (65), (117), (166), (252), (255), (265), (375) are
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #18.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (376)  all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (376) implies:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (377)  all_58_23 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (44), (54), (92), (109), (116), (117), (131),
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (165), (176), (212), (223), (238), (255), (280),
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (377) are inconsistent by sub-proof #302.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (378)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (379)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (379) gives:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (380)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2)
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (381)  all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (381) implies:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (382)  all_58_25 = e2
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (383)  all_58_22 = e2
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (33), (35), (39), (88), (92), (112), (176),
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (198), (223), (247), (382), (383) are inconsistent
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #20.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (384)  all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (384) implies:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (385)  all_58_22 = e1
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (198), (385) imply:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (386)  e1 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (176), (386) imply:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (387)  all_58_18 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (33), (35), (39), (88), (92), (112), (247),
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (387) are inconsistent by sub-proof #962.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (388)  (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (388) gives:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (389)  all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (389) implies:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (390)  all_58_22 = e1
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (198), (390) imply:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (391)  e1 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (176), (391) imply:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (392)  all_58_18 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (33), (35), (39), (88), (92), (112), (247),
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (392) are inconsistent by sub-proof #962.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (393)  all_58_22 = e1 & all_58_25 = e1 & e2 = e1
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (393) implies:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (394)  all_58_22 = e1
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (198), (394) imply:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (395)  e1 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (176), (395) imply:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (396)  all_58_18 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (33), (35), (39), (88), (92), (112), (247),
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (396) are inconsistent by sub-proof #962.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (397)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (397) gives:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (398)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1)
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (398) gives:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (399)  all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (399) implies:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (400)  all_58_30 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (65), (117), (131), (166), (252), (265), (400) are
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #19.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (401)  all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (401) implies:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (402)  all_58_23 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (44), (54), (92), (109), (116), (117), (131),
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (165), (176), (212), (223), (238), (255), (280),
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (402) are inconsistent by sub-proof #302.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (403)  (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (404)  all_58_23 = e0 & all_58_29 = e0 & e2 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (404) implies:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (405)  all_58_23 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (44), (54), (92), (109), (116), (117), (131),
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (165), (176), (212), (223), (238), (255), (280),
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (405) are inconsistent by sub-proof #302.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (406)  all_58_27 = e0 & all_58_30 = e0 & e1 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (406) implies:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (407)  e1 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (176), (407) imply:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (408)  all_58_18 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (33), (35), (39), (88), (92), (112), (247),
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (408) are inconsistent by sub-proof #962.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (409)   ~ (all_56_12 = e3)
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (409) imply:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (410)   ~ (all_52_3 = e3)
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (79), (85), (182), (248), (410) are inconsistent
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #809.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (411)  all_56_5 = e3 | all_56_10 = e3
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (39), (111), (167), (411) are inconsistent
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #648.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | |   (412)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (26), (39), (116), (117), (164), (235), (412) are
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #430.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (413)  all_54_10 = e3
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (66), (169), (413) are inconsistent by sub-proof
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | |            #637.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | |   (414)   ~ (all_56_1 = e1)
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1), (414) imply:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | |   (415)   ~ (all_52_4 = e1)
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (4), (36), (38), (164), (225), (415) are
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #511.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | |   (416)  all_54_6 = e3 | all_54_6 = e2
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (113), (167), (416) are inconsistent by
% 169.16/25.65  | | | | | | | | | | | | | | | | | | |            sub-proof #884.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | End of split
% 169.16/25.65  | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | |   (417)   ~ (all_56_2 = e0)
% 169.16/25.65  | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | REDUCE: (52), (417) imply:
% 169.16/25.65  | | | | | | | | | | | | | | | | |   (418)   ~ (all_52_1 = e0)
% 169.16/25.65  | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 169.16/25.65  | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | |   (419)  all_56_2 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | REF_CLOSE: (52), (418), (419) are inconsistent by sub-proof
% 169.16/25.65  | | | | | | | | | | | | | | | | | |            #335.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | |   (420)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | BETA: splitting (420) gives:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | |   (421)  all_56_3 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (76), (205), (421) are inconsistent by sub-proof
% 169.16/25.65  | | | | | | | | | | | | | | | | | | |            #283.
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | |   (422)  all_56_5 = e0 | all_56_10 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | BETA: splitting (422) gives:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | |   (423)  all_56_5 = e0
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.65  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11), (423) imply:
% 169.16/25.66  | | | | | | | | | | | | | | | | | | | |   (424)  all_52_9 = e0
% 169.16/25.66  | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | | | | | | SIMP: (424) implies:
% 169.16/25.66  | | | | | | | | | | | | | | | | | | | |   (425)  all_52_9 = e0
% 169.16/25.66  | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (4), (8), (30), (32), (36), (38), (44), (46),
% 169.16/25.66  | | | | | | | | | | | | | | | | | | | |            (52), (54), (55), (76), (77), (87), (89), (104),
% 169.16/25.66  | | | | | | | | | | | | | | | | | | | |            (116), (164), (180), (188), (199), (423) are
% 169.16/25.66  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #23.
% 169.16/25.66  | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.66  | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | | | | | |   (426)  all_56_10 = e0
% 169.16/25.66  | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (111), (117), (426) are inconsistent by sub-proof
% 169.16/25.66  | | | | | | | | | | | | | | | | | | | |            #17.
% 169.16/25.66  | | | | | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.66  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.66  | | | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | | | End of split
% 169.16/25.66  | | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | | End of split
% 169.16/25.66  | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | End of split
% 169.16/25.66  | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | Case 2:
% 169.16/25.66  | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | |   (427)   ~ (all_56_7 = e0)
% 169.16/25.66  | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | REDUCE: (93), (427) imply:
% 169.16/25.66  | | | | | | | | | | | | | | |   (428)   ~ (all_52_6 = e0)
% 169.16/25.66  | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | BETA: splitting (83) gives:
% 169.16/25.66  | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | Case 1:
% 169.16/25.66  | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | |   (429)  all_54_9 = e0
% 169.16/25.66  | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | | REF_CLOSE: (45), (428), (429) are inconsistent by sub-proof
% 169.16/25.66  | | | | | | | | | | | | | | | |            #903.
% 169.16/25.66  | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | Case 2:
% 169.16/25.66  | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | |   (430)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 169.16/25.66  | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 169.16/25.66  | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.66  | | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | | |   (431)  all_54_10 = e1
% 169.16/25.66  | | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | | | REF_CLOSE: (66), (186), (431) are inconsistent by sub-proof
% 169.16/25.66  | | | | | | | | | | | | | | | | |            #931.
% 169.16/25.66  | | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.66  | | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | | |   (432)  all_54_10 = e3 | all_54_10 = e2
% 169.16/25.66  | | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | | | BETA: splitting (432) gives:
% 169.16/25.66  | | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.66  | | | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | | | |   (433)  all_54_10 = e2
% 169.16/25.66  | | | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (66), (433) imply:
% 169.16/25.66  | | | | | | | | | | | | | | | | | |   (434)  all_10_2 = e2
% 169.16/25.66  | | | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | | | | SIMP: (434) implies:
% 169.16/25.66  | | | | | | | | | | | | | | | | | |   (435)  all_10_2 = e2
% 169.16/25.66  | | | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | | | | REDUCE: (41), (435) imply:
% 169.16/25.66  | | | | | | | | | | | | | | | | | |   (436)   ~ (all_52_6 = e2)
% 169.16/25.66  | | | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (133), (184), (430), (436) are inconsistent
% 169.16/25.66  | | | | | | | | | | | | | | | | | |            by sub-proof #861.
% 169.16/25.66  | | | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.66  | | | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | | | |   (437)  all_54_10 = e3
% 169.16/25.66  | | | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | | | | REF_CLOSE: (66), (169), (437) are inconsistent by sub-proof
% 169.16/25.66  | | | | | | | | | | | | | | | | | |            #637.
% 169.16/25.66  | | | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | | | End of split
% 169.16/25.66  | | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | | End of split
% 169.16/25.66  | | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | | End of split
% 169.16/25.66  | | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | End of split
% 169.16/25.66  | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | End of split
% 169.16/25.66  | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | Case 2:
% 169.16/25.66  | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | |   (438)  all_58_16 = e3 | all_58_17 = e2
% 169.16/25.66  | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | BETA: splitting (438) gives:
% 169.16/25.66  | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | Case 1:
% 169.16/25.66  | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | |   (439)  all_58_17 = e2
% 169.16/25.66  | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | REF_CLOSE: (33), (112), (439) are inconsistent by sub-proof
% 169.16/25.66  | | | | | | | | | | | | | |            #609.
% 169.16/25.66  | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | Case 2:
% 169.16/25.66  | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | |   (440)  all_58_16 = e3
% 169.16/25.66  | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | | REF_CLOSE: (48), (171), (440) are inconsistent by sub-proof
% 169.16/25.66  | | | | | | | | | | | | | |            #451.
% 169.16/25.66  | | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | | End of split
% 169.16/25.66  | | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | | End of split
% 169.16/25.66  | | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | | End of split
% 169.16/25.66  | | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | | End of split
% 169.16/25.66  | | | | | | | | | | 
% 169.16/25.66  | | | | | | | | | End of split
% 169.16/25.66  | | | | | | | | | 
% 169.16/25.66  | | | | | | | | End of split
% 169.16/25.66  | | | | | | | | 
% 169.16/25.66  | | | | | | | Case 2:
% 169.16/25.66  | | | | | | | | 
% 169.16/25.66  | | | | | | | |   (441)   ~ (all_50_1 = e3)
% 169.16/25.66  | | | | | | | | 
% 169.16/25.66  | | | | | | | | REDUCE: (130), (441) imply:
% 169.16/25.66  | | | | | | | |   (442)  $false
% 169.16/25.66  | | | | | | | | 
% 169.16/25.66  | | | | | | | | CLOSE: (442) is inconsistent.
% 169.16/25.66  | | | | | | | | 
% 169.16/25.66  | | | | | | | End of split
% 169.16/25.66  | | | | | | | 
% 169.16/25.66  | | | | | | Case 2:
% 169.16/25.66  | | | | | | | 
% 169.16/25.66  | | | | | | |   (443)  all_56_15 = e3
% 169.16/25.66  | | | | | | | 
% 169.16/25.66  | | | | | | | COMBINE_EQS: (99), (443) imply:
% 169.16/25.66  | | | | | | |   (444)  e3 = e1
% 169.16/25.66  | | | | | | | 
% 169.16/25.66  | | | | | | | REDUCE: (4), (444) imply:
% 169.16/25.66  | | | | | | |   (445)  $false
% 169.16/25.66  | | | | | | | 
% 169.16/25.66  | | | | | | | CLOSE: (445) is inconsistent.
% 169.16/25.66  | | | | | | | 
% 169.16/25.66  | | | | | | End of split
% 169.16/25.66  | | | | | | 
% 169.16/25.66  | | | | | End of split
% 169.16/25.66  | | | | | 
% 169.16/25.66  | | | | End of split
% 169.16/25.66  | | | | 
% 169.16/25.66  | | | Case 2:
% 169.16/25.66  | | | | 
% 169.16/25.66  | | | |   (446)  all_58_28 = e3
% 169.16/25.66  | | | | 
% 169.16/25.66  | | | | REF_CLOSE: (44), (54), (446) are inconsistent by sub-proof #857.
% 169.16/25.66  | | | | 
% 169.16/25.66  | | | End of split
% 169.16/25.66  | | | 
% 169.16/25.66  | | End of split
% 169.16/25.66  | | 
% 169.16/25.66  | End of split
% 169.16/25.66  | 
% 169.16/25.66  End of proof
% 169.16/25.66  
% 169.16/25.66  Sub-proof #17 shows that the following formulas are inconsistent:
% 169.16/25.66  ----------------------------------------------------------------
% 169.16/25.66    (1)  all_56_10 = e2
% 169.16/25.66    (2)  all_56_10 = e0
% 169.16/25.66    (3)   ~ (e2 = e0)
% 169.16/25.66  
% 169.16/25.66  Begin of proof
% 169.16/25.66  | 
% 169.16/25.66  | COMBINE_EQS: (1), (2) imply:
% 169.16/25.66  |   (4)  e2 = e0
% 169.16/25.66  | 
% 169.16/25.66  | SIMP: (4) implies:
% 169.16/25.66  |   (5)  e2 = e0
% 169.16/25.66  | 
% 169.16/25.66  | REDUCE: (3), (5) imply:
% 169.16/25.66  |   (6)  $false
% 169.16/25.66  | 
% 169.16/25.66  | CLOSE: (6) is inconsistent.
% 169.16/25.66  | 
% 169.16/25.66  End of proof
% 169.16/25.66  
% 169.16/25.66  Sub-proof #18 shows that the following formulas are inconsistent:
% 169.16/25.66  ----------------------------------------------------------------
% 169.16/25.66    (1)  all_58_21 = e3
% 169.16/25.66    (2)   ~ (all_52_4 = e3)
% 169.16/25.66    (3)  all_58_19 = e3
% 169.16/25.66    (4)  all_58_19 = e0
% 169.16/25.66    (5)  all_58_20 = all_52_4
% 169.16/25.66    (6)  all_58_20 = e3 | all_58_21 = e2
% 169.16/25.66    (7)   ~ (e2 = e0)
% 169.16/25.66  
% 169.16/25.66  Begin of proof
% 169.16/25.66  | 
% 169.16/25.66  | COMBINE_EQS: (3), (4) imply:
% 169.16/25.66  |   (8)  e3 = e0
% 169.16/25.66  | 
% 169.16/25.66  | COMBINE_EQS: (1), (8) imply:
% 169.16/25.66  |   (9)  all_58_21 = e0
% 169.16/25.66  | 
% 169.16/25.66  | REF_CLOSE: (2), (5), (6), (7), (9) are inconsistent by sub-proof #720.
% 169.16/25.66  | 
% 169.16/25.66  End of proof
% 169.16/25.66  
% 169.16/25.66  Sub-proof #19 shows that the following formulas are inconsistent:
% 169.16/25.66  ----------------------------------------------------------------
% 169.16/25.66    (1)  all_58_21 = e3
% 169.16/25.66    (2)   ~ (all_52_4 = e3)
% 169.16/25.66    (3)  all_58_30 = e0
% 169.16/25.66    (4)  all_58_20 = all_52_4
% 169.16/25.66    (5)  all_58_20 = e3 | all_58_21 = e2
% 169.16/25.66    (6)  all_58_30 = e3
% 169.16/25.66    (7)   ~ (e2 = e0)
% 169.16/25.66  
% 169.16/25.66  Begin of proof
% 169.16/25.66  | 
% 169.16/25.66  | COMBINE_EQS: (3), (6) imply:
% 169.16/25.66  |   (8)  e3 = e0
% 169.16/25.66  | 
% 169.16/25.66  | SIMP: (8) implies:
% 169.16/25.66  |   (9)  e3 = e0
% 169.16/25.66  | 
% 169.16/25.66  | COMBINE_EQS: (1), (9) imply:
% 169.16/25.66  |   (10)  all_58_21 = e0
% 169.16/25.66  | 
% 169.16/25.66  | REF_CLOSE: (2), (4), (5), (7), (10) are inconsistent by sub-proof #720.
% 169.16/25.66  | 
% 169.16/25.66  End of proof
% 169.16/25.66  
% 169.16/25.66  Sub-proof #20 shows that the following formulas are inconsistent:
% 169.16/25.66  ----------------------------------------------------------------
% 169.16/25.66    (1)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 169.16/25.66    (2)  all_58_25 = e1
% 169.16/25.66    (3)  all_58_22 = e2
% 169.16/25.66    (4)  all_58_17 = all_52_1
% 169.16/25.66    (5)  all_58_19 = all_52_3
% 169.16/25.66    (6)  all_58_22 = e0
% 169.16/25.66    (7)  all_58_18 = e1
% 169.16/25.66    (8)   ~ (e3 = e2)
% 169.16/25.66    (9)  all_58_16 = e2
% 169.16/25.66    (10)   ~ (all_52_1 = e2)
% 169.16/25.66    (11)   ~ (all_52_3 = e0)
% 169.16/25.66    (12)   ~ (e1 = e0)
% 169.16/25.66    (13)  all_58_25 = e2
% 169.16/25.66  
% 169.16/25.66  Begin of proof
% 169.16/25.66  | 
% 169.16/25.66  | COMBINE_EQS: (3), (6) imply:
% 169.16/25.66  |   (14)  e2 = e0
% 169.16/25.66  | 
% 169.16/25.66  | COMBINE_EQS: (2), (13) imply:
% 169.16/25.66  |   (15)  e2 = e1
% 169.16/25.66  | 
% 169.16/25.66  | COMBINE_EQS: (14), (15) imply:
% 169.16/25.66  |   (16)  e1 = e0
% 169.16/25.66  | 
% 169.16/25.66  | SIMP: (16) implies:
% 169.16/25.66  |   (17)  e1 = e0
% 169.16/25.66  | 
% 169.16/25.66  | COMBINE_EQS: (7), (17) imply:
% 169.16/25.66  |   (18)  all_58_18 = e0
% 169.16/25.66  | 
% 169.16/25.66  | REF_CLOSE: (1), (4), (5), (8), (9), (10), (11), (12), (18) are inconsistent by
% 169.16/25.66  |            sub-proof #962.
% 169.16/25.66  | 
% 169.16/25.66  End of proof
% 169.16/25.66  
% 169.16/25.66  Sub-proof #21 shows that the following formulas are inconsistent:
% 169.16/25.66  ----------------------------------------------------------------
% 169.16/25.66    (1)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 169.16/25.66    (2)  all_58_20 = e1
% 169.16/25.66    (3)  all_58_17 = e3
% 169.16/25.66    (4)  all_58_18 = e1
% 169.16/25.66    (5)   ~ (e3 = e2)
% 169.16/25.66    (6)   ~ (all_6_2 = e3)
% 169.16/25.66    (7)  all_58_16 = all_6_2
% 169.16/25.66    (8)  e3 = e0
% 169.16/25.66    (9)  all_58_20 = e3
% 169.16/25.66    (10)   ~ (e1 = e0)
% 169.16/25.66  
% 169.16/25.66  Begin of proof
% 169.16/25.66  | 
% 169.16/25.66  | COMBINE_EQS: (2), (9) imply:
% 169.16/25.66  |   (11)  e3 = e1
% 169.16/25.66  | 
% 169.16/25.66  | SIMP: (11) implies:
% 169.16/25.66  |   (12)  e3 = e1
% 169.16/25.66  | 
% 169.16/25.66  | COMBINE_EQS: (8), (12) imply:
% 169.16/25.66  |   (13)  e1 = e0
% 169.16/25.66  | 
% 169.16/25.66  | SIMP: (13) implies:
% 169.16/25.66  |   (14)  e1 = e0
% 169.16/25.66  | 
% 169.16/25.66  | REF_CLOSE: (1), (3), (4), (5), (6), (7), (10), (14) are inconsistent by
% 169.16/25.66  |            sub-proof #22.
% 169.16/25.66  | 
% 169.16/25.66  End of proof
% 169.16/25.66  
% 169.16/25.66  Sub-proof #22 shows that the following formulas are inconsistent:
% 169.16/25.66  ----------------------------------------------------------------
% 169.16/25.66    (1)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 169.16/25.66    (2)  all_58_17 = e3
% 169.16/25.66    (3)  all_58_18 = e1
% 169.16/25.66    (4)   ~ (e3 = e2)
% 169.16/25.66    (5)   ~ (all_6_2 = e3)
% 169.16/25.66    (6)  all_58_16 = all_6_2
% 169.16/25.66    (7)   ~ (e1 = e0)
% 169.16/25.66    (8)  e1 = e0
% 169.16/25.66  
% 169.16/25.66  Begin of proof
% 169.16/25.66  | 
% 169.16/25.66  | COMBINE_EQS: (3), (8) imply:
% 169.16/25.66  |   (9)  all_58_18 = e0
% 169.16/25.66  | 
% 169.16/25.66  | BETA: splitting (1) gives:
% 169.16/25.66  | 
% 169.16/25.66  | Case 1:
% 169.16/25.66  | | 
% 169.16/25.66  | | 
% 169.16/25.66  | | REF_CLOSE: (3), (7), (9) are inconsistent by sub-proof #888.
% 169.16/25.66  | | 
% 169.16/25.66  | Case 2:
% 169.16/25.66  | | 
% 169.16/25.66  | |   (10)  all_58_16 = e3 | all_58_17 = e2
% 169.16/25.66  | | 
% 169.16/25.66  | | REF_CLOSE: (2), (4), (5), (6), (10) are inconsistent by sub-proof #366.
% 169.16/25.66  | | 
% 169.16/25.66  | End of split
% 169.16/25.66  | 
% 169.16/25.66  End of proof
% 169.16/25.66  
% 169.16/25.66  Sub-proof #23 shows that the following formulas are inconsistent:
% 169.16/25.66  ----------------------------------------------------------------
% 169.16/25.66    (1)  all_56_1 = all_52_4
% 169.16/25.66    (2)   ~ (e3 = e1)
% 169.16/25.66    (3)  all_56_4 = e3
% 169.16/25.66    (4)   ~ (all_52_4 = all_4_2)
% 169.16/25.66    (5)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 169.16/25.66    (6)   ~ (all_52_4 = e0)
% 169.16/25.66    (7)  all_56_0 = all_6_2
% 169.16/25.66    (8)  all_58_30 = all_52_14
% 169.16/25.66    (9)  all_56_9 = all_52_12
% 169.16/25.66    (10)   ~ (all_52_12 = e1)
% 169.16/25.66    (11)   ~ (e2 = e1)
% 169.16/25.66    (12)  all_58_28 = e0
% 169.16/25.66    (13)   ~ (all_6_2 = e1)
% 169.16/25.66    (14)   ~ (all_52_13 = all_52_14)
% 169.16/25.66    (15)  all_56_2 = all_52_1
% 169.16/25.66    (16)   ~ (e3 = e0)
% 169.16/25.66    (17)  all_58_29 = all_52_13
% 169.16/25.66    (18)   ~ (all_52_1 = e1)
% 169.16/25.66    (19)  all_56_3 = all_4_2
% 169.16/25.66    (20)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 169.16/25.66    (21)  all_56_10 = all_52_13
% 169.16/25.66    (22)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 169.16/25.66    (23)  all_56_5 = e0
% 169.16/25.66  
% 169.16/25.66  Begin of proof
% 169.16/25.66  | 
% 169.16/25.66  | BETA: splitting (20) gives:
% 169.16/25.66  | 
% 169.16/25.66  | Case 1:
% 169.16/25.66  | | 
% 169.16/25.66  | |   (24)  all_56_0 = e1
% 169.16/25.66  | | 
% 169.16/25.66  | | REF_CLOSE: (7), (13), (24) are inconsistent by sub-proof #24.
% 169.16/25.66  | | 
% 169.16/25.66  | Case 2:
% 169.16/25.66  | | 
% 169.16/25.66  | |   (25)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 169.16/25.66  | | 
% 169.16/25.66  | | BETA: splitting (25) gives:
% 169.16/25.66  | | 
% 169.16/25.66  | | Case 1:
% 169.16/25.66  | | | 
% 169.16/25.66  | | |   (26)  all_56_1 = e1
% 169.16/25.66  | | | 
% 169.16/25.66  | | | COMBINE_EQS: (1), (26) imply:
% 169.16/25.66  | | |   (27)  all_52_4 = e1
% 169.16/25.66  | | | 
% 169.16/25.66  | | | SIMP: (27) implies:
% 169.16/25.66  | | |   (28)  all_52_4 = e1
% 169.16/25.66  | | | 
% 169.16/25.66  | | | REDUCE: (4), (28) imply:
% 169.16/25.66  | | |   (29)   ~ (all_4_2 = e1)
% 169.16/25.66  | | | 
% 169.16/25.66  | | | SIMP: (29) implies:
% 169.16/25.66  | | |   (30)   ~ (all_4_2 = e1)
% 169.16/25.66  | | | 
% 169.16/25.66  | | | REDUCE: (6), (28) imply:
% 169.16/25.66  | | |   (31)   ~ (e1 = e0)
% 169.16/25.66  | | | 
% 169.16/25.66  | | | BETA: splitting (22) gives:
% 169.16/25.66  | | | 
% 169.16/25.66  | | | Case 1:
% 169.16/25.66  | | | | 
% 169.16/25.66  | | | |   (32)  all_56_2 = e1
% 169.16/25.66  | | | | 
% 169.16/25.66  | | | | COMBINE_EQS: (15), (32) imply:
% 169.16/25.66  | | | |   (33)  all_52_1 = e1
% 169.16/25.66  | | | | 
% 169.16/25.66  | | | | SIMP: (33) implies:
% 169.16/25.66  | | | |   (34)  all_52_1 = e1
% 169.16/25.66  | | | | 
% 169.16/25.66  | | | | REDUCE: (18), (34) imply:
% 169.16/25.66  | | | |   (35)  $false
% 169.16/25.66  | | | | 
% 169.16/25.66  | | | | CLOSE: (35) is inconsistent.
% 169.16/25.66  | | | | 
% 169.16/25.66  | | | Case 2:
% 169.16/25.66  | | | | 
% 169.16/25.66  | | | |   (36)  all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 169.16/25.66  | | | | 
% 169.16/25.66  | | | | REF_CLOSE: (5), (8), (11), (12), (14), (16), (17), (19), (21), (23),
% 169.16/25.66  | | | |            (30), (31), (36) are inconsistent by sub-proof #729.
% 169.16/25.66  | | | | 
% 169.16/25.66  | | | End of split
% 169.16/25.66  | | | 
% 169.16/25.66  | | Case 2:
% 169.16/25.66  | | | 
% 169.16/25.66  | | |   (37)  all_56_4 = e1 | all_56_9 = e1
% 169.16/25.66  | | | 
% 169.16/25.66  | | | REF_CLOSE: (2), (3), (9), (10), (37) are inconsistent by sub-proof #512.
% 169.16/25.66  | | | 
% 169.16/25.66  | | End of split
% 169.16/25.66  | | 
% 169.16/25.66  | End of split
% 169.16/25.66  | 
% 169.16/25.66  End of proof
% 169.16/25.66  
% 169.16/25.66  Sub-proof #24 shows that the following formulas are inconsistent:
% 169.16/25.66  ----------------------------------------------------------------
% 169.16/25.66    (1)  all_56_0 = all_6_2
% 169.16/25.66    (2)  all_56_0 = e1
% 169.16/25.66    (3)   ~ (all_6_2 = e1)
% 169.16/25.66  
% 169.16/25.66  Begin of proof
% 169.16/25.66  | 
% 169.16/25.66  | COMBINE_EQS: (1), (2) imply:
% 169.16/25.66  |   (4)  all_6_2 = e1
% 169.16/25.66  | 
% 169.16/25.66  | SIMP: (4) implies:
% 169.16/25.66  |   (5)  all_6_2 = e1
% 169.16/25.66  | 
% 169.16/25.66  | REDUCE: (3), (5) imply:
% 169.16/25.66  |   (6)  $false
% 169.16/25.66  | 
% 169.16/25.66  | CLOSE: (6) is inconsistent.
% 169.16/25.66  | 
% 169.16/25.66  End of proof
% 169.16/25.66  
% 169.16/25.66  Sub-proof #25 shows that the following formulas are inconsistent:
% 169.16/25.66  ----------------------------------------------------------------
% 169.16/25.66    (1)   ~ (all_52_12 = all_14_2)
% 169.16/25.66    (2)  all_56_1 = all_52_4
% 169.16/25.66    (3)  op(all_4_2, e2) = e0
% 169.16/25.66    (4)  all_56_12 = all_52_3
% 169.16/25.66    (5)  op(e1, e3) = all_52_2
% 169.16/25.66    (6)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 169.16/25.66    (7)   ~ (all_10_2 = e0)
% 169.16/25.66    (8)   ~ (all_52_8 = all_52_12)
% 169.16/25.66    (9)   ~ (e3 = e1)
% 169.16/25.66    (10)  all_58_23 = all_52_7
% 169.16/25.66    (11)   ~ (all_14_1 = e1)
% 169.16/25.66    (12)   ~ (all_52_2 = all_6_2)
% 169.16/25.66    (13)  all_8_2 = all_6_2
% 169.16/25.66    (14)   ~ (all_52_4 = all_4_2)
% 169.16/25.66    (15)  all_56_5 = all_52_9
% 169.16/25.66    (16)   ~ (all_52_3 = all_52_11)
% 169.16/25.66    (17)  op(all_6_2, e3) = all_6_1
% 169.16/25.66    (18)   ~ (all_52_12 = all_6_2)
% 169.16/25.66    (19)   ~ (all_52_6 = all_4_2)
% 169.16/25.66    (20)  all_56_11 = all_14_1
% 169.16/25.66    (21)   ~ (all_52_13 = e1)
% 169.16/25.66    (22)  all_56_15 = all_14_2
% 169.16/25.66    (23)  op(e0, e2) = all_52_7
% 169.16/25.66    (24)  op(all_14_1, e1) = all_14_0
% 169.16/25.66    (25)  all_54_1 = all_52_4
% 169.16/25.66    (26)  all_56_14 = all_52_11
% 169.16/25.66    (27)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 169.16/25.66    (28)  all_56_8 = all_10_2
% 169.16/25.66    (29)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 169.16/25.66    (30)  all_58_26 = all_10_2
% 169.16/25.66    (31)   ~ (all_52_4 = all_52_6)
% 169.16/25.66    (32)  all_58_31 = all_14_2
% 169.16/25.66    (33)   ~ (all_52_11 = all_10_2)
% 169.16/25.66    (34)   ~ (all_52_3 = all_6_2)
% 169.16/25.66    (35)   ~ (all_52_1 = all_6_2)
% 169.16/25.66    (36)  all_56_11 = all_52_14
% 169.16/25.66    (37)   ~ (all_52_6 = all_52_7)
% 169.16/25.66    (38)  all_56_0 = all_6_2
% 169.16/25.66    (39)   ~ (all_52_9 = all_10_2)
% 169.16/25.66    (40)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 169.16/25.66    (41)  all_58_30 = all_52_14
% 169.16/25.66    (42)  all_58_27 = all_52_11
% 169.16/25.66    (43)  all_54_14 = all_52_11
% 169.16/25.66    (44)  all_56_9 = all_52_12
% 169.16/25.66    (45)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 169.16/25.66    (46)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 169.16/25.66    (47)   ~ (all_52_12 = e1)
% 169.16/25.66    (48)   ~ (e3 = e2)
% 169.16/25.66    (49)   ~ (all_52_4 = all_52_7)
% 169.16/25.66    (50)   ~ (e2 = e1)
% 169.16/25.66    (51)  op(e0, e1) = all_52_11
% 169.16/25.66    (52)   ~ (all_52_7 = all_14_2)
% 169.16/25.66    (53)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 169.16/25.66    (54)   ~ (all_52_1 = all_4_2)
% 169.16/25.66    (55)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.16/25.66    (56)   ~ (all_52_3 = e1)
% 169.16/25.66    (57)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 169.16/25.66    (58)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 169.16/25.66    (59)   ~ (all_52_13 = all_52_14)
% 169.16/25.66    (60)  op(e2, e3) = all_52_1
% 169.16/25.66    (61)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 169.16/25.66    (62)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 169.16/25.66    (63)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 169.16/25.66    (64)   ~ (all_52_8 = all_52_9)
% 169.16/25.66    (65)   ~ (all_52_4 = all_6_2)
% 169.16/25.66    (66)  all_56_2 = all_52_1
% 169.16/25.66    (67)   ~ (e3 = e0)
% 169.16/25.66    (68)  all_58_29 = all_52_13
% 169.16/25.66    (69)   ~ (all_52_1 = all_52_2)
% 169.16/25.66    (70)   ~ (all_52_13 = e0)
% 169.16/25.66    (71)   ~ (all_52_6 = all_52_14)
% 169.16/25.66    (72)   ~ (all_52_7 = all_4_2)
% 169.16/25.66    (73)   ~ (all_52_8 = all_10_2)
% 169.16/25.66    (74)  all_56_4 = all_52_8
% 169.16/25.66    (75)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.16/25.66    (76)   ~ (all_52_1 = all_52_13)
% 169.16/25.66    (77)  all_58_20 = all_52_4
% 169.16/25.66    (78)  all_54_13 = all_52_7
% 169.16/25.66    (79)   ~ (all_52_7 = all_52_11)
% 169.16/25.66    (80)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 169.16/25.66    (81)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 169.16/25.66    (82)   ~ (all_52_8 = all_52_11)
% 169.16/25.66    (83)   ~ (all_52_8 = all_6_2)
% 169.16/25.66    (84)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 169.16/25.66    (85)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 169.16/25.66    (86)  all_56_6 = all_52_2
% 169.16/25.66    (87)   ~ (all_52_1 = all_52_9)
% 169.16/25.66    (88)  all_58_24 = all_52_8
% 169.16/25.66    (89)   ~ (all_52_12 = all_52_14)
% 169.16/25.66    (90)   ~ (all_52_9 = all_52_11)
% 169.16/25.66    (91)  all_58_22 = all_52_6
% 169.16/25.66    (92)  all_56_3 = all_4_2
% 169.16/25.66    (93)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 169.16/25.66    (94)  all_54_0 = all_6_2
% 169.16/25.66    (95)   ~ (all_52_14 = all_10_2)
% 169.16/25.66    (96)   ~ (all_52_2 = all_52_3)
% 169.16/25.66    (97)   ~ (all_52_4 = all_52_8)
% 169.16/25.66    (98)  all_58_25 = all_52_9
% 169.16/25.66    (99)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.16/25.66            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.16/25.66    (100)  all_58_21 = all_4_2
% 169.16/25.66    (101)  all_56_10 = all_52_13
% 169.16/25.66    (102)  all_52_3 = e0
% 169.16/25.66    (103)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 169.16/25.66    (104)   ~ (e2 = e0)
% 169.16/25.66    (105)   ~ (all_52_1 = all_52_3)
% 169.16/25.66    (106)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 169.16/25.66    (107)  all_8_1 = all_6_1
% 169.16/25.66    (108)  all_58_28 = all_52_12
% 169.16/25.66    (109)  all_54_4 = all_52_1
% 169.16/25.66    (110)  all_56_7 = all_52_6
% 169.16/25.66    (111)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 169.16/25.66    (112)   ~ (all_52_2 = all_10_2)
% 169.16/25.66  
% 169.16/25.66  Begin of proof
% 169.16/25.66  | 
% 169.16/25.66  | COMBINE_EQS: (4), (102) imply:
% 169.16/25.66  |   (113)  all_56_12 = e0
% 169.16/25.66  | 
% 169.16/25.66  | REDUCE: (102), (105) imply:
% 169.16/25.67  |   (114)   ~ (all_52_1 = e0)
% 169.16/25.67  | 
% 169.16/25.67  | REDUCE: (96), (102) imply:
% 169.16/25.67  |   (115)   ~ (all_52_2 = e0)
% 169.16/25.67  | 
% 169.16/25.67  | REDUCE: (16), (102) imply:
% 169.16/25.67  |   (116)   ~ (all_52_11 = e0)
% 169.16/25.67  | 
% 169.16/25.67  | SIMP: (116) implies:
% 169.16/25.67  |   (117)   ~ (all_52_11 = e0)
% 169.16/25.67  | 
% 169.16/25.67  | REDUCE: (34), (102) imply:
% 169.16/25.67  |   (118)   ~ (all_6_2 = e0)
% 169.16/25.67  | 
% 169.16/25.67  | SIMP: (118) implies:
% 169.16/25.67  |   (119)   ~ (all_6_2 = e0)
% 169.16/25.67  | 
% 169.16/25.67  | REDUCE: (56), (102) imply:
% 169.16/25.67  |   (120)   ~ (e1 = e0)
% 169.16/25.67  | 
% 169.16/25.67  | SIMP: (120) implies:
% 169.16/25.67  |   (121)   ~ (e1 = e0)
% 169.16/25.67  | 
% 169.16/25.67  | BETA: splitting (80) gives:
% 169.16/25.67  | 
% 169.16/25.67  | Case 1:
% 169.16/25.67  | | 
% 169.16/25.67  | |   (122)  all_56_6 = e0
% 169.16/25.67  | | 
% 169.16/25.67  | | COMBINE_EQS: (86), (122) imply:
% 169.16/25.67  | |   (123)  all_52_2 = e0
% 169.16/25.67  | | 
% 169.16/25.67  | | REDUCE: (115), (123) imply:
% 169.16/25.67  | |   (124)  $false
% 169.16/25.67  | | 
% 169.16/25.67  | | CLOSE: (124) is inconsistent.
% 169.16/25.67  | | 
% 169.16/25.67  | Case 2:
% 169.16/25.67  | | 
% 169.16/25.67  | |   (125)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 169.16/25.67  | | 
% 169.16/25.67  | | BETA: splitting (63) gives:
% 169.16/25.67  | | 
% 169.16/25.67  | | Case 1:
% 169.16/25.67  | | | 
% 169.16/25.67  | | |   (126)  all_56_4 = e0
% 169.16/25.67  | | | 
% 169.16/25.67  | | | REF_CLOSE: (3), (15), (23), (64), (66), (70), (72), (74), (75), (92),
% 169.16/25.67  | | |            (99), (101), (114), (126) are inconsistent by sub-proof #125.
% 169.16/25.67  | | | 
% 169.16/25.67  | | Case 2:
% 169.16/25.67  | | | 
% 169.16/25.67  | | |   (127)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 169.16/25.67  | | | 
% 169.16/25.67  | | | BETA: splitting (127) gives:
% 169.16/25.67  | | | 
% 169.16/25.67  | | | Case 1:
% 169.16/25.67  | | | | 
% 169.16/25.67  | | | |   (128)  all_56_5 = e0
% 169.16/25.67  | | | | 
% 169.16/25.67  | | | | COMBINE_EQS: (15), (128) imply:
% 169.16/25.67  | | | |   (129)  all_52_9 = e0
% 169.16/25.67  | | | | 
% 169.16/25.67  | | | | COMBINE_EQS: (98), (129) imply:
% 169.16/25.67  | | | |   (130)  all_58_25 = e0
% 169.16/25.67  | | | | 
% 169.16/25.67  | | | | REDUCE: (64), (129) imply:
% 169.16/25.67  | | | |   (131)   ~ (all_52_8 = e0)
% 169.16/25.67  | | | | 
% 169.16/25.67  | | | | REDUCE: (39), (129) imply:
% 169.16/25.67  | | | |   (132)   ~ (all_10_2 = e0)
% 169.16/25.67  | | | | 
% 169.16/25.67  | | | | BETA: splitting (62) gives:
% 169.16/25.67  | | | | 
% 169.16/25.67  | | | | Case 1:
% 169.16/25.67  | | | | | 
% 169.16/25.67  | | | | |   (133)  all_56_1 = e0
% 169.16/25.67  | | | | | 
% 169.16/25.67  | | | | | COMBINE_EQS: (2), (133) imply:
% 169.16/25.67  | | | | |   (134)  all_52_4 = e0
% 169.16/25.67  | | | | | 
% 169.16/25.67  | | | | | COMBINE_EQS: (77), (134) imply:
% 169.16/25.67  | | | | |   (135)  all_58_20 = e0
% 169.16/25.67  | | | | | 
% 169.16/25.67  | | | | | REDUCE: (31), (134) imply:
% 169.16/25.67  | | | | |   (136)   ~ (all_52_6 = e0)
% 169.16/25.67  | | | | | 
% 169.16/25.67  | | | | | SIMP: (136) implies:
% 169.16/25.67  | | | | |   (137)   ~ (all_52_6 = e0)
% 169.16/25.67  | | | | | 
% 169.16/25.67  | | | | | REDUCE: (49), (134) imply:
% 169.16/25.67  | | | | |   (138)   ~ (all_52_7 = e0)
% 169.16/25.67  | | | | | 
% 169.16/25.67  | | | | | SIMP: (138) implies:
% 169.16/25.67  | | | | |   (139)   ~ (all_52_7 = e0)
% 169.16/25.67  | | | | | 
% 169.16/25.67  | | | | | REF_CLOSE: (7), (9), (10), (11), (15), (19), (20), (21), (24), (26),
% 169.16/25.67  | | | | |            (28), (30), (35), (38), (39), (40), (42), (44), (47), (50),
% 169.16/25.67  | | | | |            (51), (66), (67), (73), (74), (81), (87), (88), (90), (91),
% 169.16/25.67  | | | | |            (92), (93), (98), (99), (100), (101), (103), (104), (110),
% 169.16/25.67  | | | | |            (117), (125), (127), (133), (135), (137), (139) are
% 169.16/25.67  | | | | |            inconsistent by sub-proof #679.
% 169.16/25.67  | | | | | 
% 169.16/25.67  | | | | Case 2:
% 169.16/25.67  | | | | | 
% 169.16/25.67  | | | | |   (140)   ~ (all_56_1 = e0)
% 169.16/25.67  | | | | | 
% 169.16/25.67  | | | | | REDUCE: (2), (140) imply:
% 169.16/25.67  | | | | |   (141)   ~ (all_52_4 = e0)
% 169.16/25.67  | | | | | 
% 169.16/25.67  | | | | | REF_CLOSE: (1), (2), (5), (6), (7), (8), (10), (12), (13), (14), (17),
% 169.16/25.67  | | | | |            (18), (19), (22), (25), (27), (28), (29), (30), (31), (32),
% 169.16/25.67  | | | | |            (33), (35), (36), (37), (38), (40), (41), (42), (43), (44),
% 169.16/25.67  | | | | |            (45), (46), (48), (50), (52), (53), (54), (55), (57), (58),
% 169.16/25.67  | | | | |            (59), (60), (61), (65), (66), (67), (68), (69), (71), (72),
% 169.16/25.67  | | | | |            (74), (76), (77), (78), (79), (81), (82), (83), (84), (85),
% 169.16/25.67  | | | | |            (86), (88), (89), (91), (92), (94), (95), (97), (99),
% 169.16/25.67  | | | | |            (100), (101), (103), (104), (106), (107), (108), (109),
% 169.16/25.67  | | | | |            (110), (111), (112), (113), (114), (117), (119), (121),
% 169.16/25.67  | | | | |            (125), (128), (130), (131), (141) are inconsistent by
% 169.16/25.67  | | | | |            sub-proof #207.
% 169.16/25.67  | | | | | 
% 169.16/25.67  | | | | End of split
% 169.16/25.67  | | | | 
% 169.16/25.67  | | | Case 2:
% 169.16/25.67  | | | | 
% 169.16/25.67  | | | |   (142)  all_56_8 = e0 | all_56_14 = e0
% 169.16/25.67  | | | | 
% 169.16/25.67  | | | | REF_CLOSE: (7), (26), (28), (117), (142) are inconsistent by sub-proof
% 169.16/25.67  | | | |            #914.
% 169.16/25.67  | | | | 
% 169.16/25.67  | | | End of split
% 169.16/25.67  | | | 
% 169.16/25.67  | | End of split
% 169.16/25.67  | | 
% 169.16/25.67  | End of split
% 169.16/25.67  | 
% 169.16/25.67  End of proof
% 169.16/25.67  
% 169.16/25.67  Sub-proof #26 shows that the following formulas are inconsistent:
% 169.16/25.67  ----------------------------------------------------------------
% 169.16/25.67    (1)  all_54_8 = all_52_2
% 169.16/25.67    (2)  all_56_1 = all_52_4
% 169.16/25.67    (3)  all_56_12 = all_52_3
% 169.16/25.67    (4)  op(e1, e3) = all_52_2
% 169.16/25.67    (5)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 169.16/25.67    (6)   ~ (all_10_2 = e0)
% 169.16/25.67    (7)   ~ (all_52_8 = all_52_12)
% 169.16/25.67    (8)  all_58_23 = all_52_7
% 169.16/25.67    (9)   ~ (all_14_1 = e1)
% 169.16/25.67    (10)   ~ (all_52_2 = all_6_2)
% 169.16/25.67    (11)  all_8_2 = all_6_2
% 169.16/25.67    (12)   ~ (all_52_4 = all_4_2)
% 169.16/25.67    (13)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 169.16/25.67    (14)  all_56_5 = all_52_9
% 169.16/25.67    (15)   ~ (all_52_3 = all_52_11)
% 169.16/25.67    (16)  op(all_6_2, e3) = all_6_1
% 169.16/25.67    (17)   ~ (all_52_12 = all_6_2)
% 169.16/25.67    (18)   ~ (all_52_6 = all_4_2)
% 169.16/25.67    (19)  all_56_10 = e0
% 169.16/25.67    (20)  op(all_14_1, e1) = all_14_0
% 169.16/25.67    (21)  all_54_1 = all_52_4
% 169.16/25.67    (22)   ~ (all_52_9 = all_4_2)
% 169.16/25.67    (23)   ~ (all_52_3 = all_52_7)
% 169.16/25.67    (24)  all_48_0 = all_14_0
% 169.16/25.67    (25)  all_54_6 = all_52_9
% 169.16/25.67    (26)  all_56_14 = all_52_11
% 169.16/25.67    (27)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 169.16/25.67    (28)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 169.16/25.67    (29)   ~ (all_52_13 = all_4_2)
% 169.16/25.67    (30)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 169.16/25.67    (31)  all_56_8 = all_10_2
% 169.16/25.67    (32)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 169.16/25.67    (33)   ~ (all_52_9 = e0)
% 169.16/25.67    (34)  all_58_26 = all_10_2
% 169.16/25.67    (35)   ~ (all_52_4 = all_52_6)
% 169.16/25.67    (36)  all_58_31 = all_14_2
% 169.16/25.67    (37)   ~ (all_52_11 = all_10_2)
% 169.16/25.67    (38)   ~ (all_52_3 = all_6_2)
% 169.16/25.67    (39)   ~ (all_52_6 = all_14_1)
% 169.16/25.67    (40)   ~ (all_52_1 = all_6_2)
% 169.16/25.67    (41)   ~ (all_52_11 = e1)
% 169.16/25.67    (42)  all_54_2 = all_52_8
% 169.16/25.67    (43)  op(e2, e1) = all_52_9
% 169.16/25.67    (44)   ~ (all_52_6 = all_52_7)
% 169.16/25.67    (45)  all_56_0 = all_6_2
% 169.16/25.67    (46)   ~ (all_52_9 = all_10_2)
% 169.16/25.67    (47)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 169.16/25.67    (48)  all_58_30 = all_52_14
% 169.16/25.67    (49)  all_58_27 = all_52_11
% 169.16/25.67    (50)  all_54_14 = all_52_11
% 169.16/25.67    (51)   ~ (all_48_0 = e3) |  ~ (all_48_1 = e2)
% 169.16/25.67    (52)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 169.16/25.67    (53)  all_58_17 = all_52_1
% 169.16/25.67    (54)  all_58_19 = all_52_3
% 169.16/25.67    (55)   ~ (all_52_2 = all_52_6)
% 169.16/25.67    (56)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 169.16/25.67    (57)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 169.16/25.67    (58)   ~ (all_52_12 = all_14_1)
% 169.16/25.67    (59)  all_58_30 = all_14_1
% 169.16/25.67    (60)   ~ (all_52_6 = all_10_2)
% 169.16/25.67    (61)   ~ (all_52_7 = e1)
% 169.16/25.67    (62)   ~ (all_52_13 = all_14_2)
% 169.16/25.67    (63)   ~ (all_52_1 = all_4_2)
% 169.16/25.67    (64)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.16/25.67    (65)   ~ (all_52_3 = e1)
% 169.16/25.67    (66)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 169.16/25.67    (67)  all_54_9 = all_52_6
% 169.16/25.67    (68)   ~ (all_14_1 = e0)
% 169.16/25.67    (69)  op(e2, e3) = all_52_1
% 169.16/25.67    (70)  all_58_18 = all_52_2
% 169.16/25.67    (71)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 169.16/25.67    (72)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 169.16/25.67    (73)  all_58_16 = all_6_2
% 169.16/25.67    (74)  all_56_13 = all_52_7
% 169.16/25.67    (75)   ~ (all_52_12 = e0)
% 169.16/25.67    (76)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 169.16/25.67    (77)   ~ (all_52_8 = all_52_9)
% 169.16/25.67    (78)   ~ (all_52_4 = all_6_2)
% 169.16/25.67    (79)  all_56_2 = all_52_1
% 169.16/25.67    (80)   ~ (all_14_0 = e1)
% 169.16/25.67    (81)  all_54_11 = all_14_1
% 169.16/25.67    (82)  all_58_29 = all_52_13
% 169.16/25.67    (83)   ~ (all_52_1 = all_52_2)
% 169.16/25.67    (84)   ~ (all_4_2 = e0)
% 169.16/25.67    (85)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 169.16/25.67    (86)   ~ (all_52_8 = all_10_2)
% 169.16/25.67    (87)  all_56_4 = all_52_8
% 169.16/25.67    (88)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.16/25.67    (89)   ~ (all_52_1 = all_52_13)
% 169.16/25.67    (90)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 169.16/25.67    (91)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 169.16/25.67    (92)  all_58_20 = all_52_4
% 169.16/25.67    (93)  all_54_10 = all_10_2
% 169.16/25.67    (94)   ~ (all_52_7 = all_52_11)
% 169.16/25.67    (95)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 169.16/25.67    (96)   ~ (all_52_2 = all_14_1)
% 169.16/25.67    (97)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 169.16/25.67    (98)   ~ (all_52_8 = all_52_11)
% 169.16/25.67    (99)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 169.16/25.67    (100)   ~ (all_52_8 = all_6_2)
% 169.16/25.67    (101)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 169.16/25.67    (102)  all_56_6 = all_52_2
% 169.16/25.67    (103)   ~ (all_52_1 = all_52_9)
% 169.16/25.67    (104)  all_58_24 = all_52_8
% 169.16/25.67    (105)   ~ (all_52_9 = all_52_11)
% 169.16/25.67    (106)  all_58_22 = all_52_6
% 169.16/25.67    (107)   ~ (all_52_4 = all_52_12)
% 169.16/25.67    (108)  all_56_3 = all_4_2
% 169.16/25.67    (109)  all_54_0 = all_6_2
% 169.16/25.67    (110)  all_58_29 = e0
% 169.16/25.67    (111)   ~ (all_52_14 = all_10_2)
% 169.16/25.67    (112)   ~ (all_52_4 = all_52_8)
% 169.16/25.67    (113)  all_58_25 = all_52_9
% 169.16/25.67    (114)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 169.16/25.67    (115)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.16/25.67             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.16/25.67    (116)   ~ (all_52_2 = all_52_14)
% 169.16/25.67    (117)  all_58_21 = all_4_2
% 169.16/25.67    (118)  all_56_10 = all_52_13
% 169.16/25.67    (119)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 169.16/25.67    (120)   ~ (e2 = e0)
% 169.16/25.67    (121)   ~ (all_52_1 = all_52_3)
% 169.16/25.67    (122)  all_8_1 = all_6_1
% 169.16/25.67    (123)  all_58_28 = all_52_12
% 169.16/25.67    (124)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 169.16/25.67    (125)   ~ (e1 = e0)
% 169.16/25.67    (126)  all_54_4 = all_52_1
% 169.16/25.67    (127)  all_56_7 = all_52_6
% 169.16/25.67    (128)  all_58_31 = e1
% 169.16/25.67    (129)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 169.16/25.67    (130)   ~ (all_52_2 = all_10_2)
% 169.16/25.67    (131)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 169.16/25.67    (132)  all_48_1 = all_14_1
% 169.16/25.67    (133)   ~ (all_52_12 = all_52_13)
% 169.16/25.67  
% 169.16/25.67  Begin of proof
% 169.16/25.67  | 
% 169.16/25.67  | BETA: splitting (32) gives:
% 169.16/25.67  | 
% 169.16/25.67  | Case 1:
% 169.16/25.67  | | 
% 169.16/25.67  | |   (134)  all_58_31 = e0
% 169.16/25.67  | | 
% 169.16/25.67  | | COMBINE_EQS: (128), (134) imply:
% 169.16/25.67  | |   (135)  e1 = e0
% 169.16/25.67  | | 
% 169.16/25.67  | | REDUCE: (125), (135) imply:
% 169.16/25.67  | |   (136)  $false
% 169.16/25.67  | | 
% 169.16/25.67  | | CLOSE: (136) is inconsistent.
% 169.16/25.67  | | 
% 169.16/25.67  | Case 2:
% 169.16/25.67  | | 
% 169.16/25.67  | |   (137)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 169.16/25.67  | | 
% 169.16/25.67  | | BETA: splitting (137) gives:
% 169.16/25.67  | | 
% 169.16/25.67  | | Case 1:
% 169.16/25.67  | | | 
% 169.16/25.67  | | |   (138)  all_58_30 = e1
% 169.16/25.67  | | | 
% 169.16/25.67  | | | COMBINE_EQS: (59), (138) imply:
% 169.16/25.67  | | |   (139)  all_14_1 = e1
% 169.16/25.67  | | | 
% 169.16/25.67  | | | REDUCE: (9), (139) imply:
% 169.16/25.67  | | |   (140)  $false
% 169.16/25.67  | | | 
% 169.16/25.67  | | | CLOSE: (140) is inconsistent.
% 169.16/25.67  | | | 
% 169.16/25.67  | | Case 2:
% 169.16/25.67  | | | 
% 169.16/25.67  | | |   (141)   ~ (all_58_30 = e1)
% 169.16/25.67  | | |   (142)  all_58_28 = e3 | all_58_29 = e2
% 169.16/25.67  | | | 
% 169.16/25.67  | | | BETA: splitting (142) gives:
% 169.16/25.67  | | | 
% 169.16/25.67  | | | Case 1:
% 169.16/25.67  | | | | 
% 169.16/25.67  | | | |   (143)  all_58_29 = e2
% 169.16/25.67  | | | | 
% 169.16/25.67  | | | | COMBINE_EQS: (110), (143) imply:
% 169.16/25.67  | | | |   (144)  e2 = e0
% 169.16/25.67  | | | | 
% 169.16/25.67  | | | | REDUCE: (120), (144) imply:
% 169.16/25.67  | | | |   (145)  $false
% 169.16/25.67  | | | | 
% 169.16/25.67  | | | | CLOSE: (145) is inconsistent.
% 169.16/25.67  | | | | 
% 169.16/25.67  | | | Case 2:
% 169.16/25.67  | | | | 
% 169.16/25.67  | | | |   (146)  all_58_28 = e3
% 169.16/25.67  | | | | 
% 169.16/25.67  | | | | COMBINE_EQS: (123), (146) imply:
% 169.16/25.67  | | | |   (147)  all_52_12 = e3
% 169.16/25.67  | | | | 
% 169.16/25.67  | | | | REDUCE: (7), (147) imply:
% 169.16/25.67  | | | |   (148)   ~ (all_52_8 = e3)
% 169.16/25.67  | | | | 
% 169.16/25.67  | | | | REDUCE: (58), (147) imply:
% 169.16/25.67  | | | |   (149)   ~ (all_14_1 = e3)
% 169.16/25.67  | | | | 
% 169.16/25.67  | | | | SIMP: (149) implies:
% 169.16/25.67  | | | |   (150)   ~ (all_14_1 = e3)
% 169.16/25.67  | | | | 
% 169.16/25.67  | | | | REDUCE: (17), (147) imply:
% 169.16/25.67  | | | |   (151)   ~ (all_6_2 = e3)
% 169.16/25.67  | | | | 
% 169.16/25.67  | | | | SIMP: (151) implies:
% 169.16/25.67  | | | |   (152)   ~ (all_6_2 = e3)
% 169.16/25.67  | | | | 
% 169.16/25.67  | | | | REDUCE: (75), (147) imply:
% 169.16/25.67  | | | |   (153)   ~ (e3 = e0)
% 169.16/25.67  | | | | 
% 169.16/25.67  | | | | BETA: splitting (28) gives:
% 169.16/25.67  | | | | 
% 169.16/25.67  | | | | Case 1:
% 169.16/25.67  | | | | | 
% 169.16/25.67  | | | | |   (154)  all_54_11 = e0
% 169.16/25.67  | | | | | 
% 169.16/25.67  | | | | | COMBINE_EQS: (81), (154) imply:
% 169.16/25.67  | | | | |   (155)  all_14_1 = e0
% 169.16/25.67  | | | | | 
% 169.16/25.67  | | | | | REDUCE: (68), (155) imply:
% 169.16/25.67  | | | | |   (156)  $false
% 169.16/25.67  | | | | | 
% 169.16/25.67  | | | | | CLOSE: (156) is inconsistent.
% 169.16/25.67  | | | | | 
% 169.16/25.67  | | | | Case 2:
% 169.16/25.67  | | | | | 
% 169.16/25.67  | | | | |   (157)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 169.16/25.67  | | | | | 
% 169.16/25.67  | | | | | BETA: splitting (157) gives:
% 169.16/25.67  | | | | | 
% 169.16/25.67  | | | | | Case 1:
% 169.16/25.67  | | | | | | 
% 169.16/25.67  | | | | | |   (158)  all_54_11 = e1
% 169.16/25.67  | | | | | | 
% 169.16/25.67  | | | | | | COMBINE_EQS: (81), (158) imply:
% 169.16/25.67  | | | | | |   (159)  all_14_1 = e1
% 169.16/25.67  | | | | | | 
% 169.16/25.67  | | | | | | REDUCE: (9), (159) imply:
% 169.16/25.67  | | | | | |   (160)  $false
% 169.16/25.67  | | | | | | 
% 169.16/25.67  | | | | | | CLOSE: (160) is inconsistent.
% 169.16/25.67  | | | | | | 
% 169.16/25.67  | | | | | Case 2:
% 169.16/25.67  | | | | | | 
% 169.16/25.67  | | | | | |   (161)   ~ (all_54_11 = e1)
% 169.16/25.67  | | | | | |   (162)  all_54_11 = e3 | all_54_11 = e2
% 169.16/25.67  | | | | | | 
% 169.16/25.67  | | | | | | BETA: splitting (162) gives:
% 169.16/25.67  | | | | | | 
% 169.16/25.67  | | | | | | Case 1:
% 169.16/25.67  | | | | | | | 
% 169.16/25.67  | | | | | | |   (163)  all_54_11 = e2
% 169.16/25.67  | | | | | | | 
% 169.16/25.67  | | | | | | | COMBINE_EQS: (81), (163) imply:
% 169.16/25.67  | | | | | | |   (164)  all_14_1 = e2
% 169.16/25.67  | | | | | | | 
% 169.16/25.67  | | | | | | | COMBINE_EQS: (132), (164) imply:
% 169.16/25.67  | | | | | | |   (165)  all_48_1 = e2
% 169.16/25.67  | | | | | | | 
% 169.16/25.67  | | | | | | | REDUCE: (96), (164) imply:
% 169.16/25.67  | | | | | | |   (166)   ~ (all_52_2 = e2)
% 169.16/25.67  | | | | | | | 
% 169.16/25.67  | | | | | | | REDUCE: (39), (164) imply:
% 169.16/25.67  | | | | | | |   (167)   ~ (all_52_6 = e2)
% 169.16/25.67  | | | | | | | 
% 169.16/25.67  | | | | | | | REDUCE: (20), (164) imply:
% 169.16/25.67  | | | | | | |   (168)  op(e2, e1) = all_14_0
% 169.16/25.67  | | | | | | | 
% 169.16/25.67  | | | | | | | BETA: splitting (51) gives:
% 169.16/25.67  | | | | | | | 
% 169.16/25.67  | | | | | | | Case 1:
% 169.16/25.67  | | | | | | | | 
% 169.16/25.67  | | | | | | | |   (169)   ~ (all_48_1 = e2)
% 169.16/25.67  | | | | | | | | 
% 169.16/25.67  | | | | | | | | REDUCE: (165), (169) imply:
% 169.16/25.67  | | | | | | | |   (170)  $false
% 169.16/25.67  | | | | | | | | 
% 169.16/25.67  | | | | | | | | CLOSE: (170) is inconsistent.
% 169.16/25.67  | | | | | | | | 
% 169.16/25.67  | | | | | | | Case 2:
% 169.16/25.67  | | | | | | | | 
% 169.16/25.67  | | | | | | | |   (171)   ~ (all_48_0 = e3)
% 169.16/25.67  | | | | | | | | 
% 169.16/25.67  | | | | | | | | REDUCE: (24), (171) imply:
% 169.16/25.67  | | | | | | | |   (172)   ~ (all_14_0 = e3)
% 169.16/25.67  | | | | | | | | 
% 169.16/25.67  | | | | | | | | GROUND_INST: instantiating (115) with all_52_9, all_14_0, e1,
% 169.16/25.67  | | | | | | | |              e2, simplifying with (43), (168) gives:
% 169.16/25.67  | | | | | | | |   (173)  all_52_9 = all_14_0
% 169.16/25.67  | | | | | | | | 
% 169.16/25.67  | | | | | | | | COMBINE_EQS: (25), (173) imply:
% 169.16/25.67  | | | | | | | |   (174)  all_54_6 = all_14_0
% 169.16/25.67  | | | | | | | | 
% 169.16/25.67  | | | | | | | | COMBINE_EQS: (14), (173) imply:
% 169.16/25.67  | | | | | | | |   (175)  all_56_5 = all_14_0
% 169.16/25.67  | | | | | | | | 
% 169.16/25.67  | | | | | | | | REDUCE: (103), (173) imply:
% 169.16/25.67  | | | | | | | |   (176)   ~ (all_52_1 = all_14_0)
% 169.16/25.67  | | | | | | | | 
% 169.16/25.67  | | | | | | | | REDUCE: (77), (173) imply:
% 169.16/25.67  | | | | | | | |   (177)   ~ (all_52_8 = all_14_0)
% 169.16/25.67  | | | | | | | | 
% 169.16/25.67  | | | | | | | | REDUCE: (105), (173) imply:
% 169.16/25.67  | | | | | | | |   (178)   ~ (all_52_11 = all_14_0)
% 169.16/25.67  | | | | | | | | 
% 169.16/25.67  | | | | | | | | SIMP: (178) implies:
% 169.16/25.67  | | | | | | | |   (179)   ~ (all_52_11 = all_14_0)
% 169.16/25.67  | | | | | | | | 
% 169.16/25.67  | | | | | | | | REDUCE: (46), (173) imply:
% 169.16/25.67  | | | | | | | |   (180)   ~ (all_14_0 = all_10_2)
% 169.16/25.67  | | | | | | | | 
% 169.16/25.67  | | | | | | | | REDUCE: (33), (173) imply:
% 169.16/25.67  | | | | | | | |   (181)   ~ (all_14_0 = e0)
% 169.16/25.67  | | | | | | | | 
% 169.16/25.67  | | | | | | | | BETA: splitting (27) gives:
% 169.16/25.67  | | | | | | | | 
% 169.16/25.67  | | | | | | | | Case 1:
% 169.16/25.67  | | | | | | | | | 
% 169.16/25.67  | | | | | | | | |   (182)  all_54_6 = e0
% 169.16/25.67  | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | REF_CLOSE: (174), (181), (182) are inconsistent by sub-proof
% 169.16/25.67  | | | | | | | | |            #32.
% 169.16/25.67  | | | | | | | | | 
% 169.16/25.67  | | | | | | | | Case 2:
% 169.16/25.67  | | | | | | | | | 
% 169.16/25.67  | | | | | | | | |   (183)   ~ (all_54_6 = e0)
% 169.16/25.67  | | | | | | | | |   (184)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 169.16/25.67  | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | BETA: splitting (184) gives:
% 169.16/25.67  | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | Case 1:
% 169.16/25.67  | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | |   (185)  all_54_6 = e1
% 169.16/25.67  | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | REF_CLOSE: (80), (174), (185) are inconsistent by sub-proof
% 169.16/25.67  | | | | | | | | | |            #31.
% 169.16/25.67  | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | Case 2:
% 169.16/25.67  | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | |   (186)   ~ (all_54_6 = e1)
% 169.16/25.67  | | | | | | | | | |   (187)  all_54_6 = e3 | all_54_6 = e2
% 169.16/25.67  | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | BETA: splitting (187) gives:
% 169.16/25.67  | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | Case 1:
% 169.16/25.67  | | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | |   (188)  all_54_6 = e2
% 169.16/25.67  | | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | | COMBINE_EQS: (174), (188) imply:
% 169.16/25.67  | | | | | | | | | | |   (189)  all_14_0 = e2
% 169.16/25.67  | | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | | SIMP: (189) implies:
% 169.16/25.67  | | | | | | | | | | |   (190)  all_14_0 = e2
% 169.16/25.67  | | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | | COMBINE_EQS: (175), (190) imply:
% 169.16/25.67  | | | | | | | | | | |   (191)  all_56_5 = e2
% 169.16/25.67  | | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | | REDUCE: (176), (190) imply:
% 169.16/25.67  | | | | | | | | | | |   (192)   ~ (all_52_1 = e2)
% 169.16/25.67  | | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | | REDUCE: (177), (190) imply:
% 169.16/25.67  | | | | | | | | | | |   (193)   ~ (all_52_8 = e2)
% 169.16/25.67  | | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | | REDUCE: (179), (190) imply:
% 169.16/25.67  | | | | | | | | | | |   (194)   ~ (all_52_11 = e2)
% 169.16/25.67  | | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | | REDUCE: (180), (190) imply:
% 169.16/25.67  | | | | | | | | | | |   (195)   ~ (all_10_2 = e2)
% 169.16/25.67  | | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | | SIMP: (195) implies:
% 169.16/25.67  | | | | | | | | | | |   (196)   ~ (all_10_2 = e2)
% 169.16/25.67  | | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | | REDUCE: (172), (190) imply:
% 169.16/25.67  | | | | | | | | | | |   (197)   ~ (e3 = e2)
% 169.16/25.67  | | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | | SIMP: (197) implies:
% 169.16/25.67  | | | | | | | | | | |   (198)   ~ (e3 = e2)
% 169.16/25.67  | | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | | BETA: splitting (56) gives:
% 169.16/25.67  | | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | | Case 1:
% 169.16/25.67  | | | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | | |   (199)  all_54_14 = e0
% 169.16/25.67  | | | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | | | COMBINE_EQS: (50), (199) imply:
% 169.16/25.67  | | | | | | | | | | | |   (200)  all_52_11 = e0
% 169.16/25.67  | | | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | | | SIMP: (200) implies:
% 169.16/25.67  | | | | | | | | | | | |   (201)  all_52_11 = e0
% 169.16/25.67  | | | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | | | COMBINE_EQS: (26), (201) imply:
% 169.16/25.67  | | | | | | | | | | | |   (202)  all_56_14 = e0
% 169.16/25.67  | | | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | | | REDUCE: (15), (201) imply:
% 169.16/25.67  | | | | | | | | | | | |   (203)   ~ (all_52_3 = e0)
% 169.16/25.67  | | | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | | | REDUCE: (94), (201) imply:
% 169.16/25.67  | | | | | | | | | | | |   (204)   ~ (all_52_7 = e0)
% 169.16/25.67  | | | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | | | REDUCE: (98), (201) imply:
% 169.16/25.67  | | | | | | | | | | | |   (205)   ~ (all_52_8 = e0)
% 169.16/25.67  | | | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | | | REDUCE: (194), (201) imply:
% 169.16/25.67  | | | | | | | | | | | |   (206)   ~ (e2 = e0)
% 169.16/25.67  | | | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | | | REF_CLOSE: (1), (2), (5), (8), (9), (10), (13), (14), (19),
% 169.16/25.67  | | | | | | | | | | | |            (20), (24), (26), (31), (40), (41), (42), (43),
% 169.16/25.67  | | | | | | | | | | | |            (44), (51), (53), (54), (55), (58), (60), (61),
% 169.16/25.67  | | | | | | | | | | | |            (67), (70), (73), (74), (75), (79), (80), (81),
% 169.16/25.67  | | | | | | | | | | | |            (83), (85), (86), (87), (90), (91), (92), (93),
% 169.16/25.67  | | | | | | | | | | | |            (95), (96), (97), (99), (100), (106), (107),
% 169.16/25.67  | | | | | | | | | | | |            (108), (109), (110), (112), (114), (115), (117),
% 169.16/25.67  | | | | | | | | | | | |            (120), (123), (124), (127), (130), (131), (132),
% 169.16/25.67  | | | | | | | | | | | |            (142), (146), (148), (152), (153), (157), (166),
% 169.16/25.67  | | | | | | | | | | | |            (167), (191), (193), (196), (198), (202), (203),
% 169.16/25.67  | | | | | | | | | | | |            (204), (205) are inconsistent by sub-proof #30.
% 169.16/25.67  | | | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | | Case 2:
% 169.16/25.67  | | | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | | |   (207)   ~ (all_54_14 = e0)
% 169.16/25.67  | | | | | | | | | | | |   (208)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 169.16/25.67  | | | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | | | REDUCE: (50), (207) imply:
% 169.16/25.67  | | | | | | | | | | | |   (209)   ~ (all_52_11 = e0)
% 169.16/25.67  | | | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | | | BETA: splitting (76) gives:
% 169.16/25.67  | | | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | | | Case 1:
% 169.16/25.67  | | | | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | | | |   (210)  all_56_4 = e0
% 169.16/25.67  | | | | | | | | | | | | | 
% 169.16/25.67  | | | | | | | | | | | | | COMBINE_EQS: (87), (210) imply:
% 169.16/25.67  | | | | | | | | | | | | |   (211)  all_52_8 = e0
% 169.16/25.68  | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | SIMP: (211) implies:
% 169.16/25.68  | | | | | | | | | | | | |   (212)  all_52_8 = e0
% 169.16/25.68  | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | COMBINE_EQS: (104), (212) imply:
% 169.16/25.68  | | | | | | | | | | | | |   (213)  all_58_24 = e0
% 169.16/25.68  | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | REDUCE: (112), (212) imply:
% 169.16/25.68  | | | | | | | | | | | | |   (214)   ~ (all_52_4 = e0)
% 169.16/25.68  | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | REDUCE: (98), (212) imply:
% 169.16/25.68  | | | | | | | | | | | | |   (215)   ~ (all_52_11 = e0)
% 169.16/25.68  | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | REDUCE: (193), (212) imply:
% 169.16/25.68  | | | | | | | | | | | | |   (216)   ~ (e2 = e0)
% 169.16/25.68  | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | BETA: splitting (208) gives:
% 169.16/25.68  | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | Case 1:
% 169.16/25.68  | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | |   (217)  all_54_14 = e1
% 169.16/25.68  | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | COMBINE_EQS: (50), (217) imply:
% 169.16/25.68  | | | | | | | | | | | | | |   (218)  all_52_11 = e1
% 169.16/25.68  | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | REDUCE: (41), (218) imply:
% 169.16/25.68  | | | | | | | | | | | | | |   (219)  $false
% 169.16/25.68  | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | CLOSE: (219) is inconsistent.
% 169.16/25.68  | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | Case 2:
% 169.16/25.68  | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | |   (220)  all_54_14 = e3 | all_54_14 = e2
% 169.16/25.68  | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 169.16/25.68  | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | Case 1:
% 169.16/25.68  | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | |   (221)  all_54_14 = e2
% 169.16/25.68  | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | COMBINE_EQS: (50), (221) imply:
% 169.16/25.68  | | | | | | | | | | | | | | |   (222)  all_52_11 = e2
% 169.16/25.68  | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | REDUCE: (194), (222) imply:
% 169.16/25.68  | | | | | | | | | | | | | | |   (223)  $false
% 169.16/25.68  | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | CLOSE: (223) is inconsistent.
% 169.16/25.68  | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | Case 2:
% 169.16/25.68  | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | |   (224)  all_54_14 = e3
% 169.16/25.68  | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | COMBINE_EQS: (50), (224) imply:
% 169.16/25.68  | | | | | | | | | | | | | | |   (225)  all_52_11 = e3
% 169.16/25.68  | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | REDUCE: (37), (225) imply:
% 169.16/25.68  | | | | | | | | | | | | | | |   (226)   ~ (all_10_2 = e3)
% 169.16/25.68  | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | SIMP: (226) implies:
% 169.16/25.68  | | | | | | | | | | | | | | |   (227)   ~ (all_10_2 = e3)
% 169.16/25.68  | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 169.16/25.68  | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | Case 1:
% 169.16/25.68  | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | |   (228)  all_54_10 = e1
% 169.16/25.68  | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | COMBINE_EQS: (93), (228) imply:
% 169.16/25.68  | | | | | | | | | | | | | | | |   (229)  all_10_2 = e1
% 169.16/25.68  | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | REDUCE: (130), (229) imply:
% 169.16/25.68  | | | | | | | | | | | | | | | |   (230)   ~ (all_52_2 = e1)
% 169.16/25.68  | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | REDUCE: (196), (229) imply:
% 169.16/25.68  | | | | | | | | | | | | | | | |   (231)   ~ (e2 = e1)
% 169.16/25.68  | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | SIMP: (231) implies:
% 169.16/25.68  | | | | | | | | | | | | | | | |   (232)   ~ (e2 = e1)
% 169.16/25.68  | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | BETA: splitting (13) gives:
% 169.16/25.68  | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.68  | | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | |   (233)  all_58_19 = e0
% 169.16/25.68  | | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (8), (10), (11), (12),
% 169.16/25.68  | | | | | | | | | | | | | | | | |            (14), (16), (17), (18), (21), (22), (23), (29),
% 169.16/25.68  | | | | | | | | | | | | | | | | |            (30), (32), (33), (34), (35), (36), (38), (40),
% 169.16/25.68  | | | | | | | | | | | | | | | | |            (44), (45), (47), (48), (49), (52), (54), (55),
% 169.16/25.68  | | | | | | | | | | | | | | | | |            (57), (62), (63), (64), (65), (66), (69), (71),
% 169.16/25.68  | | | | | | | | | | | | | | | | |            (72), (74), (78), (79), (82), (83), (84), (85),
% 169.16/25.68  | | | | | | | | | | | | | | | | |            (88), (89), (92), (97), (101), (102), (103),
% 169.16/25.68  | | | | | | | | | | | | | | | | |            (106), (107), (108), (109), (111), (113), (115),
% 169.16/25.68  | | | | | | | | | | | | | | | | |            (116), (117), (118), (119), (120), (121), (122),
% 169.16/25.68  | | | | | | | | | | | | | | | | |            (123), (126), (127), (129), (130), (133), (209),
% 169.16/25.68  | | | | | | | | | | | | | | | | |            (213), (214), (232), (233) are inconsistent by
% 169.16/25.68  | | | | | | | | | | | | | | | | |            sub-proof #29.
% 169.16/25.68  | | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.68  | | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | |   (234)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 169.16/25.68  | | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 169.16/25.68  | | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.68  | | | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | | |   (235)  all_58_18 = e1
% 169.16/25.68  | | | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (70), (235) imply:
% 169.16/25.68  | | | | | | | | | | | | | | | | | |   (236)  all_52_2 = e1
% 169.16/25.68  | | | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | | | REDUCE: (230), (236) imply:
% 169.16/25.68  | | | | | | | | | | | | | | | | | |   (237)  $false
% 169.16/25.68  | | | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | | | CLOSE: (237) is inconsistent.
% 169.16/25.68  | | | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.68  | | | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | | |   (238)  all_58_16 = e3 | all_58_17 = e2
% 169.16/25.68  | | | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 169.16/25.68  | | | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.68  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | | | |   (239)  all_58_17 = e2
% 169.16/25.68  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (53), (192), (239) are inconsistent by sub-proof
% 169.16/25.68  | | | | | | | | | | | | | | | | | | |            #609.
% 169.16/25.68  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | | | Case 2:
% 169.16/25.68  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | | | |   (240)  all_58_16 = e3
% 169.16/25.68  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (73), (152), (240) are inconsistent by sub-proof
% 169.16/25.68  | | | | | | | | | | | | | | | | | | |            #451.
% 169.16/25.68  | | | | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | | | End of split
% 169.16/25.68  | | | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | | End of split
% 169.16/25.68  | | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | End of split
% 169.16/25.68  | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | Case 2:
% 169.16/25.68  | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | |   (241)  all_54_10 = e3 | all_54_10 = e2
% 169.16/25.68  | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 169.16/25.68  | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | Case 1:
% 169.16/25.68  | | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | |   (242)  all_54_10 = e2
% 169.16/25.68  | | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | | COMBINE_EQS: (93), (242) imply:
% 169.16/25.68  | | | | | | | | | | | | | | | | |   (243)  all_10_2 = e2
% 169.16/25.68  | | | | | | | | | | | | | | | | | 
% 169.16/25.68  | | | | | | | | | | | | | | | | | REDUCE: (196), (243) imply:
% 169.16/25.68  | | | | | | | | | | | | | | | | |   (244)  $false
% 169.16/25.68  | | | | | | | | | | | | | | | | | 
% 169.34/25.68  | | | | | | | | | | | | | | | | | CLOSE: (244) is inconsistent.
% 169.34/25.68  | | | | | | | | | | | | | | | | | 
% 169.34/25.68  | | | | | | | | | | | | | | | | Case 2:
% 169.34/25.68  | | | | | | | | | | | | | | | | | 
% 169.34/25.68  | | | | | | | | | | | | | | | | |   (245)  all_54_10 = e3
% 169.34/25.68  | | | | | | | | | | | | | | | | | 
% 169.34/25.68  | | | | | | | | | | | | | | | | | COMBINE_EQS: (93), (245) imply:
% 169.34/25.68  | | | | | | | | | | | | | | | | |   (246)  all_10_2 = e3
% 169.34/25.68  | | | | | | | | | | | | | | | | | 
% 169.34/25.68  | | | | | | | | | | | | | | | | | REDUCE: (227), (246) imply:
% 169.34/25.68  | | | | | | | | | | | | | | | | |   (247)  $false
% 169.34/25.68  | | | | | | | | | | | | | | | | | 
% 169.34/25.68  | | | | | | | | | | | | | | | | | CLOSE: (247) is inconsistent.
% 169.34/25.68  | | | | | | | | | | | | | | | | | 
% 169.34/25.68  | | | | | | | | | | | | | | | | End of split
% 169.34/25.68  | | | | | | | | | | | | | | | | 
% 169.34/25.68  | | | | | | | | | | | | | | | End of split
% 169.34/25.68  | | | | | | | | | | | | | | | 
% 169.34/25.68  | | | | | | | | | | | | | | End of split
% 169.34/25.68  | | | | | | | | | | | | | | 
% 169.34/25.68  | | | | | | | | | | | | | End of split
% 169.34/25.68  | | | | | | | | | | | | | 
% 169.34/25.68  | | | | | | | | | | | | Case 2:
% 169.34/25.68  | | | | | | | | | | | | | 
% 169.34/25.68  | | | | | | | | | | | | |   (248)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 169.34/25.68  | | | | | | | | | | | | | 
% 169.34/25.68  | | | | | | | | | | | | | REF_CLOSE: (6), (26), (31), (120), (191), (209), (248) are
% 169.34/25.68  | | | | | | | | | | | | |            inconsistent by sub-proof #28.
% 169.34/25.68  | | | | | | | | | | | | | 
% 169.34/25.68  | | | | | | | | | | | | End of split
% 169.34/25.68  | | | | | | | | | | | | 
% 169.34/25.68  | | | | | | | | | | | End of split
% 169.34/25.68  | | | | | | | | | | | 
% 169.34/25.68  | | | | | | | | | | Case 2:
% 169.34/25.68  | | | | | | | | | | | 
% 169.34/25.68  | | | | | | | | | | |   (249)  all_54_6 = e3
% 169.34/25.68  | | | | | | | | | | | 
% 169.34/25.68  | | | | | | | | | | | REF_CLOSE: (172), (174), (249) are inconsistent by sub-proof
% 169.34/25.68  | | | | | | | | | | |            #27.
% 169.34/25.68  | | | | | | | | | | | 
% 169.34/25.68  | | | | | | | | | | End of split
% 169.34/25.68  | | | | | | | | | | 
% 169.34/25.68  | | | | | | | | | End of split
% 169.34/25.68  | | | | | | | | | 
% 169.34/25.68  | | | | | | | | End of split
% 169.34/25.68  | | | | | | | | 
% 169.34/25.68  | | | | | | | End of split
% 169.34/25.68  | | | | | | | 
% 169.34/25.68  | | | | | | Case 2:
% 169.34/25.68  | | | | | | | 
% 169.34/25.68  | | | | | | |   (250)  all_54_11 = e3
% 169.34/25.68  | | | | | | | 
% 169.34/25.68  | | | | | | | COMBINE_EQS: (81), (250) imply:
% 169.34/25.68  | | | | | | |   (251)  all_14_1 = e3
% 169.34/25.68  | | | | | | | 
% 169.34/25.68  | | | | | | | REDUCE: (150), (251) imply:
% 169.34/25.68  | | | | | | |   (252)  $false
% 169.34/25.68  | | | | | | | 
% 169.34/25.68  | | | | | | | CLOSE: (252) is inconsistent.
% 169.34/25.68  | | | | | | | 
% 169.34/25.68  | | | | | | End of split
% 169.34/25.68  | | | | | | 
% 169.34/25.68  | | | | | End of split
% 169.34/25.68  | | | | | 
% 169.34/25.68  | | | | End of split
% 169.34/25.68  | | | | 
% 169.34/25.68  | | | End of split
% 169.34/25.68  | | | 
% 169.34/25.68  | | End of split
% 169.34/25.68  | | 
% 169.34/25.68  | End of split
% 169.34/25.68  | 
% 169.34/25.68  End of proof
% 169.34/25.68  
% 169.34/25.68  Sub-proof #27 shows that the following formulas are inconsistent:
% 169.34/25.68  ----------------------------------------------------------------
% 169.34/25.68    (1)  all_54_6 = all_14_0
% 169.34/25.68    (2)  all_54_6 = e3
% 169.34/25.68    (3)   ~ (all_14_0 = e3)
% 169.34/25.68  
% 169.34/25.68  Begin of proof
% 169.34/25.68  | 
% 169.34/25.68  | COMBINE_EQS: (1), (2) imply:
% 169.34/25.68  |   (4)  all_14_0 = e3
% 169.34/25.68  | 
% 169.34/25.68  | SIMP: (4) implies:
% 169.34/25.68  |   (5)  all_14_0 = e3
% 169.34/25.68  | 
% 169.34/25.68  | REDUCE: (3), (5) imply:
% 169.34/25.68  |   (6)  $false
% 169.34/25.68  | 
% 169.34/25.68  | CLOSE: (6) is inconsistent.
% 169.34/25.68  | 
% 169.34/25.68  End of proof
% 169.34/25.68  
% 169.34/25.68  Sub-proof #28 shows that the following formulas are inconsistent:
% 169.34/25.68  ----------------------------------------------------------------
% 169.34/25.68    (1)  all_56_5 = e2
% 169.34/25.68    (2)   ~ (all_10_2 = e0)
% 169.34/25.68    (3)  all_56_14 = all_52_11
% 169.34/25.68    (4)  all_56_8 = all_10_2
% 169.34/25.68    (5)   ~ (all_52_11 = e0)
% 169.34/25.68    (6)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 169.34/25.68    (7)   ~ (e2 = e0)
% 169.34/25.68  
% 169.34/25.68  Begin of proof
% 169.34/25.68  | 
% 169.34/25.68  | BETA: splitting (6) gives:
% 169.34/25.68  | 
% 169.34/25.68  | Case 1:
% 169.34/25.68  | | 
% 169.34/25.68  | |   (8)  all_56_5 = e0
% 169.34/25.68  | | 
% 169.34/25.68  | | COMBINE_EQS: (1), (8) imply:
% 169.34/25.68  | |   (9)  e2 = e0
% 169.34/25.68  | | 
% 169.34/25.68  | | REDUCE: (7), (9) imply:
% 169.34/25.68  | |   (10)  $false
% 169.34/25.68  | | 
% 169.34/25.68  | | CLOSE: (10) is inconsistent.
% 169.34/25.68  | | 
% 169.34/25.68  | Case 2:
% 169.34/25.68  | | 
% 169.34/25.68  | |   (11)  all_56_8 = e0 | all_56_14 = e0
% 169.34/25.68  | | 
% 169.34/25.68  | | REF_CLOSE: (2), (3), (4), (5), (11) are inconsistent by sub-proof #914.
% 169.34/25.68  | | 
% 169.34/25.68  | End of split
% 169.34/25.68  | 
% 169.34/25.68  End of proof
% 169.34/25.68  
% 169.34/25.68  Sub-proof #29 shows that the following formulas are inconsistent:
% 169.34/25.68  ----------------------------------------------------------------
% 169.34/25.68    (1)  all_54_8 = all_52_2
% 169.34/25.68    (2)  all_56_1 = all_52_4
% 169.34/25.68    (3)  all_56_12 = all_52_3
% 169.34/25.68    (4)  op(e1, e3) = all_52_2
% 169.34/25.68    (5)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 169.34/25.68    (6)  all_58_23 = all_52_7
% 169.34/25.68    (7)   ~ (all_52_2 = all_6_2)
% 169.34/25.68    (8)  all_8_2 = all_6_2
% 169.34/25.68    (9)   ~ (all_52_4 = all_4_2)
% 169.34/25.68    (10)  all_56_5 = all_52_9
% 169.34/25.68    (11)  op(all_6_2, e3) = all_6_1
% 169.34/25.68    (12)   ~ (all_52_12 = all_6_2)
% 169.34/25.68    (13)   ~ (all_52_6 = all_4_2)
% 169.34/25.68    (14)  all_54_1 = all_52_4
% 169.34/25.68    (15)   ~ (all_52_9 = all_4_2)
% 169.34/25.68    (16)   ~ (all_52_3 = all_52_7)
% 169.34/25.68    (17)   ~ (all_52_13 = all_4_2)
% 169.34/25.68    (18)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 169.34/25.68    (19)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 169.34/25.68    (20)   ~ (all_52_9 = e0)
% 169.34/25.68    (21)  all_58_26 = all_10_2
% 169.34/25.68    (22)   ~ (all_52_4 = all_52_6)
% 169.34/25.68    (23)  all_58_31 = all_14_2
% 169.34/25.68    (24)   ~ (all_52_3 = all_6_2)
% 169.34/25.68    (25)   ~ (all_52_4 = e0)
% 169.34/25.68    (26)   ~ (all_52_1 = all_6_2)
% 169.34/25.68    (27)   ~ (all_52_6 = all_52_7)
% 169.34/25.68    (28)  all_56_0 = all_6_2
% 169.34/25.68    (29)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 169.34/25.68    (30)  all_58_30 = all_52_14
% 169.34/25.68    (31)  all_58_27 = all_52_11
% 169.34/25.68    (32)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 169.34/25.68    (33)  all_58_19 = all_52_3
% 169.34/25.68    (34)   ~ (all_52_2 = all_52_6)
% 169.34/25.68    (35)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 169.34/25.68    (36)   ~ (e2 = e1)
% 169.34/25.68    (37)   ~ (all_52_13 = all_14_2)
% 169.34/25.68    (38)   ~ (all_52_1 = all_4_2)
% 169.34/25.68    (39)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.34/25.68    (40)   ~ (all_52_3 = e1)
% 169.34/25.68    (41)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 169.34/25.68    (42)  op(e2, e3) = all_52_1
% 169.34/25.68    (43)  all_58_19 = e0
% 169.34/25.68    (44)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 169.34/25.68    (45)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 169.34/25.68    (46)  all_56_13 = all_52_7
% 169.34/25.68    (47)   ~ (all_52_4 = all_6_2)
% 169.34/25.68    (48)  all_56_2 = all_52_1
% 169.34/25.68    (49)  all_58_29 = all_52_13
% 169.34/25.68    (50)   ~ (all_52_1 = all_52_2)
% 169.34/25.68    (51)   ~ (all_4_2 = e0)
% 169.34/25.68    (52)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 169.34/25.68    (53)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.34/25.68    (54)   ~ (all_52_1 = all_52_13)
% 169.34/25.68    (55)  all_58_20 = all_52_4
% 169.34/25.68    (56)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 169.34/25.68    (57)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 169.34/25.68    (58)  all_56_6 = all_52_2
% 169.34/25.68    (59)   ~ (all_52_1 = all_52_9)
% 169.34/25.68    (60)  all_58_22 = all_52_6
% 169.34/25.68    (61)   ~ (all_52_4 = all_52_12)
% 169.34/25.68    (62)  all_56_3 = all_4_2
% 169.34/25.68    (63)  all_54_0 = all_6_2
% 169.34/25.68    (64)   ~ (all_52_14 = all_10_2)
% 169.34/25.68    (65)  all_58_24 = e0
% 169.34/25.68    (66)   ~ (all_52_11 = e0)
% 169.34/25.68    (67)  all_58_25 = all_52_9
% 169.34/25.68    (68)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.34/25.68            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.34/25.68    (69)   ~ (all_52_2 = all_52_14)
% 169.34/25.68    (70)  all_58_21 = all_4_2
% 169.34/25.68    (71)  all_56_10 = all_52_13
% 169.34/25.68    (72)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 169.34/25.68    (73)   ~ (e2 = e0)
% 169.34/25.68    (74)   ~ (all_52_1 = all_52_3)
% 169.34/25.68    (75)  all_8_1 = all_6_1
% 169.34/25.68    (76)  all_58_28 = all_52_12
% 169.34/25.68    (77)  all_54_4 = all_52_1
% 169.34/25.68    (78)  all_56_7 = all_52_6
% 169.34/25.68    (79)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 169.34/25.68    (80)   ~ (all_52_2 = all_10_2)
% 169.34/25.68    (81)   ~ (all_52_12 = all_52_13)
% 169.34/25.68  
% 169.34/25.68  Begin of proof
% 169.34/25.68  | 
% 169.34/25.68  | COMBINE_EQS: (33), (43) imply:
% 169.34/25.68  |   (82)  all_52_3 = e0
% 169.34/25.68  | 
% 169.34/25.68  | COMBINE_EQS: (3), (82) imply:
% 169.34/25.68  |   (83)  all_56_12 = e0
% 169.34/25.68  | 
% 169.34/25.68  | REDUCE: (74), (82) imply:
% 169.34/25.68  |   (84)   ~ (all_52_1 = e0)
% 169.34/25.68  | 
% 169.34/25.68  | REDUCE: (16), (82) imply:
% 169.34/25.68  |   (85)   ~ (all_52_7 = e0)
% 169.34/25.68  | 
% 169.34/25.68  | SIMP: (85) implies:
% 169.34/25.68  |   (86)   ~ (all_52_7 = e0)
% 169.34/25.68  | 
% 169.34/25.68  | REDUCE: (24), (82) imply:
% 169.34/25.68  |   (87)   ~ (all_6_2 = e0)
% 169.34/25.68  | 
% 169.34/25.68  | SIMP: (87) implies:
% 169.34/25.68  |   (88)   ~ (all_6_2 = e0)
% 169.34/25.68  | 
% 169.34/25.68  | REDUCE: (40), (82) imply:
% 169.34/25.68  |   (89)   ~ (e1 = e0)
% 169.34/25.68  | 
% 169.34/25.68  | SIMP: (89) implies:
% 169.34/25.68  |   (90)   ~ (e1 = e0)
% 169.34/25.68  | 
% 169.34/25.68  | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 169.34/25.68  |            (14), (15), (17), (18), (19), (20), (21), (22), (23), (25), (26),
% 169.34/25.68  |            (27), (28), (29), (30), (31), (32), (34), (35), (36), (37), (38),
% 169.34/25.68  |            (39), (41), (42), (44), (45), (46), (47), (48), (49), (50), (51),
% 169.34/25.68  |            (52), (53), (54), (55), (56), (57), (58), (59), (60), (61), (62),
% 169.34/25.68  |            (63), (64), (65), (66), (67), (68), (69), (70), (71), (72), (73),
% 169.34/25.68  |            (75), (76), (77), (78), (79), (80), (81), (83), (84), (86), (88),
% 169.34/25.68  |            (90) are inconsistent by sub-proof #216.
% 169.34/25.68  | 
% 169.34/25.68  End of proof
% 169.34/25.68  
% 169.34/25.68  Sub-proof #30 shows that the following formulas are inconsistent:
% 169.34/25.68  ----------------------------------------------------------------
% 169.34/25.68    (1)  all_54_8 = all_52_2
% 169.34/25.68    (2)  all_56_1 = all_52_4
% 169.34/25.68    (3)  all_56_5 = e2
% 169.34/25.68    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 169.34/25.68    (5)  all_58_23 = all_52_7
% 169.34/25.68    (6)   ~ (all_14_1 = e1)
% 169.34/25.68    (7)   ~ (all_52_2 = all_6_2)
% 169.34/25.68    (8)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 169.34/25.68    (9)  all_56_5 = all_52_9
% 169.34/25.68    (10)  all_56_10 = e0
% 169.34/25.68    (11)  op(all_14_1, e1) = all_14_0
% 169.34/25.68    (12)  all_48_0 = all_14_0
% 169.34/25.68    (13)  all_56_14 = all_52_11
% 169.34/25.68    (14)  all_56_8 = all_10_2
% 169.34/25.68    (15)   ~ (all_10_2 = e2)
% 169.34/25.68    (16)  all_56_14 = e0
% 169.34/25.68    (17)   ~ (all_52_1 = all_6_2)
% 169.34/25.68    (18)   ~ (all_52_11 = e1)
% 169.34/25.68    (19)  all_54_2 = all_52_8
% 169.34/25.68    (20)  op(e2, e1) = all_52_9
% 169.34/25.68    (21)   ~ (all_52_6 = all_52_7)
% 169.34/25.68    (22)  all_58_28 = e3
% 169.34/25.68    (23)   ~ (all_48_0 = e3) |  ~ (all_48_1 = e2)
% 169.34/25.68    (24)  all_58_28 = e3 | all_58_29 = e2
% 169.34/25.68    (25)  all_58_17 = all_52_1
% 169.34/25.68    (26)   ~ (all_52_8 = e2)
% 169.34/25.68    (27)  all_58_19 = all_52_3
% 169.34/25.68    (28)   ~ (all_52_2 = all_52_6)
% 169.34/25.68    (29)   ~ (all_52_12 = all_14_1)
% 169.34/25.68    (30)   ~ (e3 = e2)
% 169.34/25.68    (31)   ~ (all_52_6 = all_10_2)
% 169.34/25.68    (32)   ~ (all_52_7 = e1)
% 169.34/25.68    (33)   ~ (all_6_2 = e3)
% 169.34/25.68    (34)   ~ (all_52_2 = e2)
% 169.34/25.68    (35)  all_54_9 = all_52_6
% 169.34/25.68    (36)  all_58_18 = all_52_2
% 169.34/25.68    (37)  all_58_16 = all_6_2
% 169.34/25.68    (38)  all_56_13 = all_52_7
% 169.34/25.68    (39)   ~ (all_52_12 = e0)
% 169.34/25.68    (40)  all_56_2 = all_52_1
% 169.34/25.68    (41)   ~ (all_14_0 = e1)
% 169.34/25.68    (42)   ~ (all_52_8 = e3)
% 169.34/25.68    (43)   ~ (e3 = e0)
% 169.34/25.68    (44)  all_54_11 = all_14_1
% 169.34/25.68    (45)   ~ (all_52_1 = all_52_2)
% 169.34/25.68    (46)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 169.34/25.68    (47)   ~ (all_52_8 = all_10_2)
% 169.34/25.68    (48)  all_56_4 = all_52_8
% 169.34/25.68    (49)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 169.34/25.68    (50)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 169.34/25.68    (51)  all_58_20 = all_52_4
% 169.34/25.68    (52)  all_54_10 = all_10_2
% 169.34/25.68    (53)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 169.34/25.68    (54)   ~ (all_52_2 = all_14_1)
% 169.34/25.68    (55)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 169.34/25.68    (56)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 169.34/25.68    (57)   ~ (all_52_8 = all_6_2)
% 169.34/25.68    (58)   ~ (all_52_7 = e0)
% 169.34/25.68    (59)  all_58_22 = all_52_6
% 169.34/25.68    (60)   ~ (all_52_4 = all_52_12)
% 169.34/25.68    (61)  all_56_3 = all_4_2
% 169.34/25.68    (62)  all_54_0 = all_6_2
% 169.34/25.68    (63)  all_58_29 = e0
% 169.34/25.68    (64)   ~ (all_52_4 = all_52_8)
% 169.34/25.68    (65)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 169.34/25.68    (66)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.34/25.68            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.34/25.68    (67)  all_58_21 = all_4_2
% 169.34/25.68    (68)   ~ (all_52_3 = e0)
% 169.34/25.68    (69)   ~ (e2 = e0)
% 169.34/25.68    (70)   ~ (all_52_6 = e2)
% 169.34/25.68    (71)  all_58_28 = all_52_12
% 169.34/25.68    (72)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 169.34/25.68    (73)  all_56_7 = all_52_6
% 169.34/25.68    (74)   ~ (all_52_8 = e0)
% 169.34/25.68    (75)   ~ (all_52_2 = all_10_2)
% 169.34/25.68    (76)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 169.34/25.68    (77)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 169.34/25.68    (78)  all_48_1 = all_14_1
% 169.34/25.68  
% 169.34/25.68  Begin of proof
% 169.34/25.68  | 
% 169.34/25.68  | BETA: splitting (53) gives:
% 169.34/25.68  | 
% 169.34/25.68  | Case 1:
% 169.34/25.68  | | 
% 169.34/25.68  | |   (79)  all_54_2 = e0
% 169.34/25.68  | | 
% 169.34/25.68  | | REF_CLOSE: (19), (74), (79) are inconsistent by sub-proof #763.
% 169.34/25.68  | | 
% 169.34/25.68  | Case 2:
% 169.34/25.68  | | 
% 169.34/25.68  | |   (80)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1
% 169.34/25.68  | | 
% 169.34/25.68  | | BETA: splitting (80) gives:
% 169.34/25.68  | | 
% 169.34/25.68  | | Case 1:
% 169.34/25.68  | | | 
% 169.34/25.68  | | |   (81)  all_54_2 = e1
% 169.34/25.68  | | | 
% 169.34/25.68  | | | COMBINE_EQS: (19), (81) imply:
% 169.34/25.68  | | |   (82)  all_52_8 = e1
% 169.34/25.68  | | | 
% 169.34/25.68  | | | SIMP: (82) implies:
% 169.34/25.68  | | |   (83)  all_52_8 = e1
% 169.34/25.68  | | | 
% 169.34/25.68  | | | COMBINE_EQS: (48), (83) imply:
% 169.34/25.68  | | |   (84)  all_56_4 = e1
% 169.34/25.68  | | | 
% 169.34/25.68  | | | REDUCE: (47), (83) imply:
% 169.34/25.68  | | |   (85)   ~ (all_10_2 = e1)
% 169.34/25.68  | | | 
% 169.34/25.68  | | | SIMP: (85) implies:
% 169.34/25.68  | | |   (86)   ~ (all_10_2 = e1)
% 169.34/25.68  | | | 
% 169.34/25.68  | | | REDUCE: (57), (83) imply:
% 169.34/25.68  | | |   (87)   ~ (all_6_2 = e1)
% 169.34/25.68  | | | 
% 169.34/25.68  | | | SIMP: (87) implies:
% 169.34/25.68  | | |   (88)   ~ (all_6_2 = e1)
% 169.34/25.68  | | | 
% 169.34/25.68  | | | REDUCE: (42), (83) imply:
% 169.34/25.68  | | |   (89)   ~ (e3 = e1)
% 169.34/25.68  | | | 
% 169.34/25.68  | | | SIMP: (89) implies:
% 169.34/25.68  | | |   (90)   ~ (e3 = e1)
% 169.34/25.68  | | | 
% 169.34/25.68  | | | REDUCE: (26), (83) imply:
% 169.34/25.68  | | |   (91)   ~ (e2 = e1)
% 169.34/25.68  | | | 
% 169.34/25.68  | | | SIMP: (91) implies:
% 169.34/25.68  | | |   (92)   ~ (e2 = e1)
% 169.34/25.68  | | | 
% 169.34/25.68  | | | BETA: splitting (56) gives:
% 169.34/25.68  | | | 
% 169.34/25.68  | | | Case 1:
% 169.34/25.68  | | | | 
% 169.34/25.68  | | | |   (93)  all_56_4 = e3
% 169.34/25.68  | | | | 
% 169.34/25.68  | | | | COMBINE_EQS: (84), (93) imply:
% 169.34/25.68  | | | |   (94)  e3 = e1
% 169.34/25.68  | | | | 
% 169.34/25.68  | | | | SIMP: (94) implies:
% 169.34/25.68  | | | |   (95)  e3 = e1
% 169.34/25.68  | | | | 
% 169.34/25.68  | | | | COMBINE_EQS: (22), (95) imply:
% 169.34/25.68  | | | |   (96)  all_58_28 = e1
% 169.34/25.68  | | | | 
% 169.34/25.68  | | | | REF_CLOSE: (24), (63), (69), (90), (96) are inconsistent by sub-proof
% 169.34/25.68  | | | |            #747.
% 169.34/25.68  | | | | 
% 169.34/25.68  | | | Case 2:
% 169.34/25.68  | | | | 
% 169.34/25.68  | | | |   (97)  all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 169.34/25.68  | | | | 
% 169.34/25.68  | | | | BETA: splitting (97) gives:
% 169.34/25.68  | | | | 
% 169.34/25.68  | | | | Case 1:
% 169.34/25.68  | | | | | 
% 169.34/25.68  | | | | |   (98)  all_56_5 = e3
% 169.34/25.68  | | | | | 
% 169.34/25.68  | | | | | REF_CLOSE: (3), (30), (98) are inconsistent by sub-proof #356.
% 169.34/25.68  | | | | | 
% 169.34/25.68  | | | | Case 2:
% 169.34/25.68  | | | | | 
% 169.34/25.68  | | | | |   (99)  all_56_8 = e3 | all_56_14 = e3
% 169.34/25.68  | | | | | 
% 169.34/25.68  | | | | | BETA: splitting (50) gives:
% 169.34/25.68  | | | | | 
% 169.34/25.68  | | | | | Case 1:
% 169.34/25.68  | | | | | | 
% 169.34/25.68  | | | | | |   (100)  all_54_10 = e1
% 169.34/25.68  | | | | | | 
% 169.34/25.68  | | | | | | COMBINE_EQS: (52), (100) imply:
% 169.34/25.68  | | | | | |   (101)  all_10_2 = e1
% 169.34/25.68  | | | | | | 
% 169.34/25.68  | | | | | | REDUCE: (86), (101) imply:
% 169.34/25.68  | | | | | |   (102)  $false
% 169.34/25.68  | | | | | | 
% 169.34/25.68  | | | | | | CLOSE: (102) is inconsistent.
% 169.34/25.68  | | | | | | 
% 169.34/25.68  | | | | | Case 2:
% 169.34/25.68  | | | | | | 
% 169.34/25.68  | | | | | |   (103)  all_54_10 = e3 | all_54_10 = e2
% 169.34/25.68  | | | | | | 
% 169.34/25.68  | | | | | | BETA: splitting (99) gives:
% 169.34/25.68  | | | | | | 
% 169.34/25.68  | | | | | | Case 1:
% 169.34/25.68  | | | | | | | 
% 169.34/25.68  | | | | | | |   (104)  all_56_8 = e3
% 169.34/25.68  | | | | | | | 
% 169.34/25.68  | | | | | | | COMBINE_EQS: (14), (104) imply:
% 169.34/25.68  | | | | | | |   (105)  all_10_2 = e3
% 169.34/25.68  | | | | | | | 
% 169.34/25.68  | | | | | | | SIMP: (105) implies:
% 169.34/25.68  | | | | | | |   (106)  all_10_2 = e3
% 169.34/25.68  | | | | | | | 
% 169.34/25.68  | | | | | | | REDUCE: (75), (106) imply:
% 169.34/25.68  | | | | | | |   (107)   ~ (all_52_2 = e3)
% 169.34/25.68  | | | | | | | 
% 169.34/25.68  | | | | | | | BETA: splitting (8) gives:
% 169.34/25.68  | | | | | | | 
% 169.34/25.68  | | | | | | | Case 1:
% 169.34/25.68  | | | | | | | | 
% 169.34/25.68  | | | | | | | |   (108)  all_58_19 = e0
% 169.34/25.68  | | | | | | | | 
% 169.34/25.68  | | | | | | | | COMBINE_EQS: (27), (108) imply:
% 169.34/25.68  | | | | | | | |   (109)  all_52_3 = e0
% 169.34/25.68  | | | | | | | | 
% 169.34/25.68  | | | | | | | | REDUCE: (68), (109) imply:
% 169.34/25.68  | | | | | | | |   (110)  $false
% 169.34/25.68  | | | | | | | | 
% 169.34/25.68  | | | | | | | | CLOSE: (110) is inconsistent.
% 169.34/25.68  | | | | | | | | 
% 169.34/25.68  | | | | | | | Case 2:
% 169.34/25.68  | | | | | | | | 
% 169.34/25.68  | | | | | | | |   (111)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 169.34/25.68  | | | | | | | | 
% 169.34/25.68  | | | | | | | | BETA: splitting (55) gives:
% 169.34/25.68  | | | | | | | | 
% 169.34/25.68  | | | | | | | | Case 1:
% 169.34/25.68  | | | | | | | | | 
% 169.34/25.68  | | | | | | | | |   (112)  all_58_23 = e0
% 169.34/25.68  | | | | | | | | | 
% 169.34/25.68  | | | | | | | | | COMBINE_EQS: (5), (112) imply:
% 169.34/25.68  | | | | | | | | |   (113)  all_52_7 = e0
% 169.34/25.68  | | | | | | | | | 
% 169.34/25.68  | | | | | | | | | REDUCE: (58), (113) imply:
% 169.34/25.68  | | | | | | | | |   (114)  $false
% 169.34/25.68  | | | | | | | | | 
% 169.34/25.68  | | | | | | | | | CLOSE: (114) is inconsistent.
% 169.34/25.68  | | | | | | | | | 
% 169.34/25.68  | | | | | | | | Case 2:
% 169.34/25.68  | | | | | | | | | 
% 169.34/25.68  | | | | | | | | |   (115)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 169.34/25.68  | | | | | | | | | 
% 169.34/25.68  | | | | | | | | | BETA: splitting (115) gives:
% 169.34/25.68  | | | | | | | | | 
% 169.34/25.68  | | | | | | | | | Case 1:
% 169.34/25.68  | | | | | | | | | | 
% 169.34/25.68  | | | | | | | | | |   (116)  all_58_22 = e1
% 169.34/25.68  | | | | | | | | | | 
% 169.34/25.68  | | | | | | | | | | COMBINE_EQS: (59), (116) imply:
% 169.34/25.68  | | | | | | | | | |   (117)  all_52_6 = e1
% 169.34/25.68  | | | | | | | | | | 
% 169.34/25.68  | | | | | | | | | | REDUCE: (28), (117) imply:
% 169.34/25.68  | | | | | | | | | |   (118)   ~ (all_52_2 = e1)
% 169.34/25.68  | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | BETA: splitting (46) gives:
% 169.34/25.69  | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | Case 1:
% 169.34/25.69  | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | |   (119)  all_54_8 = e0
% 169.34/25.69  | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | | COMBINE_EQS: (1), (119) imply:
% 169.34/25.69  | | | | | | | | | | |   (120)  all_52_2 = e0
% 169.34/25.69  | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | | COMBINE_EQS: (36), (120) imply:
% 169.34/25.69  | | | | | | | | | | |   (121)  all_58_18 = e0
% 169.34/25.69  | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | | REDUCE: (7), (120) imply:
% 169.34/25.69  | | | | | | | | | | |   (122)   ~ (all_6_2 = e0)
% 169.34/25.69  | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | | SIMP: (122) implies:
% 169.34/25.69  | | | | | | | | | | |   (123)   ~ (all_6_2 = e0)
% 169.34/25.69  | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | | REDUCE: (118), (120) imply:
% 169.34/25.69  | | | | | | | | | | |   (124)   ~ (e1 = e0)
% 169.34/25.69  | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | | SIMP: (124) implies:
% 169.34/25.69  | | | | | | | | | | |   (125)   ~ (e1 = e0)
% 169.34/25.69  | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | | REF_CLOSE: (4), (17), (25), (33), (37), (62), (88), (111),
% 169.34/25.69  | | | | | | | | | | |            (121), (123), (125) are inconsistent by sub-proof
% 169.34/25.69  | | | | | | | | | | |            #66.
% 169.34/25.69  | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | Case 2:
% 169.34/25.69  | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | |   (126)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 169.34/25.69  | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | | BETA: splitting (126) gives:
% 169.34/25.69  | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | | Case 1:
% 169.34/25.69  | | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | | |   (127)  all_54_8 = e1
% 169.34/25.69  | | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | | | REF_CLOSE: (1), (118), (127) are inconsistent by sub-proof
% 169.34/25.69  | | | | | | | | | | | |            #671.
% 169.34/25.69  | | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | | Case 2:
% 169.34/25.69  | | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | | |   (128)  all_54_8 = e3 | all_54_8 = e2
% 169.34/25.69  | | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | | | REF_CLOSE: (1), (34), (107), (128) are inconsistent by
% 169.34/25.69  | | | | | | | | | | | |            sub-proof #727.
% 169.34/25.69  | | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | | End of split
% 169.34/25.69  | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | End of split
% 169.34/25.69  | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | Case 2:
% 169.34/25.69  | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | |   (129)   ~ (all_58_22 = e1)
% 169.34/25.69  | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | REDUCE: (59), (129) imply:
% 169.34/25.69  | | | | | | | | | |   (130)   ~ (all_52_6 = e1)
% 169.34/25.69  | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | BETA: splitting (65) gives:
% 169.34/25.69  | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | Case 1:
% 169.34/25.69  | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | |   (131)  all_54_9 = e0
% 169.34/25.69  | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | | COMBINE_EQS: (35), (131) imply:
% 169.34/25.69  | | | | | | | | | | |   (132)  all_52_6 = e0
% 169.34/25.69  | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | | SIMP: (132) implies:
% 169.34/25.69  | | | | | | | | | | |   (133)  all_52_6 = e0
% 169.34/25.69  | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | | COMBINE_EQS: (73), (133) imply:
% 169.34/25.69  | | | | | | | | | | |   (134)  all_56_7 = e0
% 169.34/25.69  | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | | COMBINE_EQS: (59), (133) imply:
% 169.34/25.69  | | | | | | | | | | |   (135)  all_58_22 = e0
% 169.34/25.69  | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | | REDUCE: (28), (133) imply:
% 169.34/25.69  | | | | | | | | | | |   (136)   ~ (all_52_2 = e0)
% 169.34/25.69  | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | | REDUCE: (21), (133) imply:
% 169.34/25.69  | | | | | | | | | | |   (137)   ~ (all_52_7 = e0)
% 169.34/25.69  | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | | REDUCE: (70), (133) imply:
% 169.34/25.69  | | | | | | | | | | |   (138)   ~ (e2 = e0)
% 169.34/25.69  | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | | REDUCE: (130), (133) imply:
% 169.34/25.69  | | | | | | | | | | |   (139)   ~ (e1 = e0)
% 169.34/25.69  | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | | SIMP: (139) implies:
% 169.34/25.69  | | | | | | | | | | |   (140)   ~ (e1 = e0)
% 169.34/25.69  | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | | REF_CLOSE: (1), (2), (5), (6), (9), (10), (11), (12), (13),
% 169.34/25.69  | | | | | | | | | | |            (14), (18), (20), (23), (24), (29), (32), (38),
% 169.34/25.69  | | | | | | | | | | |            (39), (40), (41), (44), (45), (46), (48), (49),
% 169.34/25.69  | | | | | | | | | | |            (51), (54), (55), (58), (60), (61), (63), (64),
% 169.34/25.69  | | | | | | | | | | |            (66), (67), (69), (71), (72), (75), (76), (77),
% 169.34/25.69  | | | | | | | | | | |            (78), (92), (134), (135), (136), (140) are
% 169.34/25.69  | | | | | | | | | | |            inconsistent by sub-proof #182.
% 169.34/25.69  | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | Case 2:
% 169.34/25.69  | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | |   (141)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 169.34/25.69  | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | | REF_CLOSE: (15), (31), (35), (52), (70), (103), (130), (141)
% 169.34/25.69  | | | | | | | | | | |            are inconsistent by sub-proof #860.
% 169.34/25.69  | | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | | End of split
% 169.34/25.69  | | | | | | | | | | 
% 169.34/25.69  | | | | | | | | | End of split
% 169.34/25.69  | | | | | | | | | 
% 169.34/25.69  | | | | | | | | End of split
% 169.34/25.69  | | | | | | | | 
% 169.34/25.69  | | | | | | | End of split
% 169.34/25.69  | | | | | | | 
% 169.34/25.69  | | | | | | Case 2:
% 169.34/25.69  | | | | | | | 
% 169.34/25.69  | | | | | | |   (142)  all_56_14 = e3
% 169.34/25.69  | | | | | | | 
% 169.34/25.69  | | | | | | | COMBINE_EQS: (16), (142) imply:
% 169.34/25.69  | | | | | | |   (143)  e3 = e0
% 169.34/25.69  | | | | | | | 
% 169.34/25.69  | | | | | | | REDUCE: (43), (143) imply:
% 169.34/25.69  | | | | | | |   (144)  $false
% 169.34/25.69  | | | | | | | 
% 169.34/25.69  | | | | | | | CLOSE: (144) is inconsistent.
% 169.34/25.69  | | | | | | | 
% 169.34/25.69  | | | | | | End of split
% 169.34/25.69  | | | | | | 
% 169.34/25.69  | | | | | End of split
% 169.34/25.69  | | | | | 
% 169.34/25.69  | | | | End of split
% 169.34/25.69  | | | | 
% 169.34/25.69  | | | End of split
% 169.34/25.69  | | | 
% 169.34/25.69  | | Case 2:
% 169.34/25.69  | | | 
% 169.34/25.69  | | |   (145)  all_54_2 = e3 | all_54_2 = e2
% 169.34/25.69  | | | 
% 169.34/25.69  | | | REF_CLOSE: (19), (26), (42), (145) are inconsistent by sub-proof #691.
% 169.34/25.69  | | | 
% 169.34/25.69  | | End of split
% 169.34/25.69  | | 
% 169.34/25.69  | End of split
% 169.34/25.69  | 
% 169.34/25.69  End of proof
% 169.34/25.69  
% 169.34/25.69  Sub-proof #31 shows that the following formulas are inconsistent:
% 169.34/25.69  ----------------------------------------------------------------
% 169.34/25.69    (1)  all_54_6 = all_14_0
% 169.34/25.69    (2)  all_54_6 = e1
% 169.34/25.69    (3)   ~ (all_14_0 = e1)
% 169.34/25.69  
% 169.34/25.69  Begin of proof
% 169.34/25.69  | 
% 169.34/25.69  | COMBINE_EQS: (1), (2) imply:
% 169.34/25.69  |   (4)  all_14_0 = e1
% 169.34/25.69  | 
% 169.34/25.69  | SIMP: (4) implies:
% 169.34/25.69  |   (5)  all_14_0 = e1
% 169.34/25.69  | 
% 169.34/25.69  | REDUCE: (3), (5) imply:
% 169.34/25.69  |   (6)  $false
% 169.34/25.69  | 
% 169.34/25.69  | CLOSE: (6) is inconsistent.
% 169.34/25.69  | 
% 169.34/25.69  End of proof
% 169.34/25.69  
% 169.34/25.69  Sub-proof #32 shows that the following formulas are inconsistent:
% 169.34/25.69  ----------------------------------------------------------------
% 169.34/25.69    (1)  all_54_6 = all_14_0
% 169.34/25.69    (2)  all_54_6 = e0
% 169.34/25.69    (3)   ~ (all_14_0 = e0)
% 169.34/25.69  
% 169.34/25.69  Begin of proof
% 169.34/25.69  | 
% 169.34/25.69  | COMBINE_EQS: (1), (2) imply:
% 169.34/25.69  |   (4)  all_14_0 = e0
% 169.34/25.69  | 
% 169.34/25.69  | SIMP: (4) implies:
% 169.34/25.69  |   (5)  all_14_0 = e0
% 169.34/25.69  | 
% 169.34/25.69  | REDUCE: (3), (5) imply:
% 169.34/25.69  |   (6)  $false
% 169.34/25.69  | 
% 169.34/25.69  | CLOSE: (6) is inconsistent.
% 169.34/25.69  | 
% 169.34/25.69  End of proof
% 169.34/25.69  
% 169.34/25.69  Sub-proof #33 shows that the following formulas are inconsistent:
% 169.34/25.69  ----------------------------------------------------------------
% 169.34/25.69    (1)   ~ (all_52_12 = all_14_2)
% 169.34/25.69    (2)  all_56_1 = all_52_4
% 169.34/25.69    (3)  op(all_4_2, e2) = e0
% 169.34/25.69    (4)  all_56_12 = all_52_3
% 169.34/25.69    (5)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 169.34/25.69    (6)   ~ (all_52_8 = all_52_12)
% 169.34/25.69    (7)   ~ (e3 = e1)
% 169.34/25.69    (8)  all_58_23 = all_52_7
% 169.34/25.69    (9)   ~ (all_52_4 = all_4_2)
% 169.34/25.69    (10)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 169.34/25.69    (11)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 169.34/25.69    (12)  all_56_5 = all_52_9
% 169.34/25.69    (13)  op(all_6_2, e3) = all_6_1
% 169.34/25.69    (14)   ~ (all_52_12 = all_6_2)
% 169.34/25.69    (15)  op(e2, e0) = all_52_13
% 169.34/25.69    (16)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 169.34/25.69    (17)   ~ (all_52_6 = all_4_2)
% 169.34/25.69    (18)  op(e3, all_6_2) = all_58_0
% 169.34/25.69    (19)  all_56_15 = all_14_2
% 169.34/25.69    (20)  op(e0, e2) = all_52_7
% 169.34/25.69    (21)  op(e3, all_52_4) = all_58_1
% 169.34/25.69    (22)  all_54_1 = all_52_4
% 169.34/25.69    (23)  op(all_10_2, e1) = all_10_1
% 169.34/25.69    (24)  op(e1, all_10_2) = all_58_10
% 169.34/25.69    (25)   ~ (all_52_9 = all_4_2)
% 169.34/25.69    (26)  op(e1, e1) = all_10_2
% 169.34/25.69    (27)   ~ (all_52_13 = all_4_2)
% 169.34/25.69    (28)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 169.34/25.69    (29)  op(e0, all_52_3) = all_58_12
% 169.34/25.69    (30)  all_56_8 = all_10_2
% 169.34/25.69    (31)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 169.34/25.69    (32)  all_58_26 = all_10_2
% 169.34/25.69    (33)   ~ (all_52_4 = all_52_6)
% 169.34/25.69    (34)  all_58_31 = all_14_2
% 169.34/25.69    (35)   ~ (all_52_9 = all_52_13)
% 169.34/25.69    (36)   ~ (all_52_3 = all_6_2)
% 169.34/25.69    (37)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 169.34/25.69    (38)   ~ (all_52_4 = e0)
% 169.34/25.69    (39)  op(all_6_1, all_6_2) = e0
% 169.34/25.69    (40)  all_58_18 = e0
% 169.34/25.69    (41)   ~ (all_52_1 = all_6_2)
% 169.34/25.69    (42)  all_56_11 = all_52_14
% 169.34/25.69    (43)  all_56_0 = all_6_2
% 169.34/25.69    (44)   ~ (all_52_9 = all_10_2)
% 169.34/25.69    (45)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 169.34/25.69    (46)  all_58_30 = all_52_14
% 169.34/25.69    (47)  all_58_27 = all_52_11
% 169.34/25.69    (48)  op(e3, e2) = all_52_4
% 169.34/25.69    (49)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 169.34/25.69    (50)  all_58_17 = all_52_1
% 169.34/25.69    (51)  op(e3, e1) = all_52_8
% 169.34/25.69    (52)  all_58_19 = all_52_3
% 169.34/25.69    (53)  all_56_9 = all_52_12
% 169.34/25.69    (54)   ~ (e3 = e2)
% 169.34/25.69    (55)   ~ (e2 = e1)
% 169.34/25.69    (56)   ~ (all_52_6 = all_10_2)
% 169.34/25.69    (57)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 169.34/25.69    (58)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 169.34/25.69    (59)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 169.34/25.69    (60)   ~ (all_52_13 = all_14_2)
% 169.34/25.69    (61)   ~ (all_52_1 = all_4_2)
% 169.34/25.69    (62)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.34/25.69    (63)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 169.34/25.69    (64)  all_54_9 = all_52_6
% 169.34/25.69    (65)   ~ (all_52_13 = all_52_14)
% 169.34/25.69    (66)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 169.34/25.69    (67)  all_58_16 = all_6_2
% 169.34/25.69    (68)  all_56_13 = all_52_7
% 169.34/25.69    (69)  op(e0, e3) = all_52_3
% 169.34/25.69    (70)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 169.34/25.69    (71)   ~ (all_52_8 = all_52_9)
% 169.34/25.69    (72)   ~ (all_52_4 = all_6_2)
% 169.34/25.69    (73)  all_56_2 = all_52_1
% 169.34/25.69    (74)   ~ (e3 = e0)
% 169.34/25.69    (75)  all_58_29 = all_52_13
% 169.34/25.69    (76)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 169.34/25.69    (77)   ~ (all_6_2 = e0)
% 169.34/25.69    (78)   ~ (all_52_6 = all_52_14)
% 169.34/25.69    (79)   ~ (all_52_7 = all_4_2)
% 169.34/25.69    (80)   ~ (all_52_8 = all_10_2)
% 169.34/25.69    (81)  all_56_4 = all_52_8
% 169.34/25.69    (82)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.34/25.69    (83)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 169.34/25.69    (84)   ~ (all_52_1 = all_52_13)
% 169.34/25.69    (85)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 169.34/25.69    (86)  all_54_10 = all_10_2
% 169.34/25.69    (87)   ~ (all_52_8 = all_52_11)
% 169.34/25.69    (88)   ~ (all_52_8 = all_6_2)
% 169.34/25.69    (89)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 169.34/25.69    (90)   ~ (all_52_1 = all_52_9)
% 169.34/25.69    (91)  op(e3, e3) = all_6_2
% 169.34/25.69    (92)  all_56_6 = e0
% 169.34/25.69    (93)  all_58_24 = all_52_8
% 169.34/25.69    (94)   ~ (all_52_12 = all_52_14)
% 169.34/25.69    (95)   ~ (all_52_9 = all_52_11)
% 169.34/25.69    (96)  all_58_22 = all_52_6
% 169.34/25.69    (97)   ~ (all_52_4 = all_52_12)
% 169.34/25.69    (98)  all_56_3 = all_4_2
% 169.34/25.69    (99)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 169.34/25.69    (100)  all_54_0 = all_6_2
% 169.34/25.69    (101)   ~ (all_52_14 = all_10_2)
% 169.34/25.69    (102)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 169.34/25.69    (103)   ~ (all_52_1 = e0)
% 169.34/25.69    (104)   ~ (all_52_4 = all_52_8)
% 169.34/25.69    (105)   ~ (all_52_14 = all_14_2)
% 169.34/25.69    (106)  all_58_25 = all_52_9
% 169.34/25.69    (107)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 169.34/25.69    (108)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.34/25.69             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.34/25.69    (109)   ~ (all_52_6 = e0)
% 169.34/25.69    (110)  all_54_12 = all_52_3
% 169.34/25.69    (111)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 169.34/25.69    (112)  all_58_21 = all_4_2
% 169.34/25.69    (113)  all_56_10 = all_52_13
% 169.34/25.69    (114)   ~ (all_52_3 = e0)
% 169.34/25.69    (115)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 169.34/25.69    (116)   ~ (e2 = e0)
% 169.34/25.69    (117)   ~ (all_52_1 = all_52_3)
% 169.34/25.69    (118)   ~ (all_52_14 = e0)
% 169.34/25.69    (119)  all_58_28 = all_52_12
% 169.34/25.69    (120)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 169.34/25.69    (121)   ~ (e1 = e0)
% 169.34/25.69    (122)  all_56_7 = all_52_6
% 169.34/25.69    (123)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 169.34/25.69             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 169.34/25.69             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 169.34/25.69             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 169.34/25.69             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 169.34/25.69             (all_58_15 = e0))
% 169.34/25.69    (124)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 169.34/25.69    (125)  all_54_5 = all_4_2
% 169.34/25.69    (126)  op(e2, all_52_13) = all_58_7
% 169.34/25.69    (127)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 169.34/25.69    (128)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 169.34/25.69           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 169.34/25.69           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 169.34/25.69           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 169.34/25.69           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 169.34/25.69           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 169.34/25.69           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 169.34/25.69           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 169.34/25.69           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 169.34/25.69           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 169.34/25.69             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 169.34/25.69             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 169.34/25.69             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 169.34/25.69             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 169.34/25.69             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 169.34/25.69             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 169.34/25.69             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 169.34/25.69             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 169.34/25.69             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 169.34/25.69             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 169.34/25.69             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 169.34/25.69             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 169.34/25.69             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 169.34/25.69             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 169.34/25.69             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 169.34/25.69             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 169.34/25.69           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 169.34/25.69           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 169.34/25.69           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 169.34/25.69             all_58_30 = e0 & e1 = e0)
% 169.34/25.69    (129)  all_54_7 = all_52_13
% 169.34/25.69    (130)   ~ (all_10_1 = e0)
% 169.34/25.69    (131)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 169.34/25.69    (132)   ~ (all_52_12 = all_52_13)
% 169.34/25.69  
% 169.34/25.69  Begin of proof
% 169.34/25.69  | 
% 169.34/25.69  | BETA: splitting (82) gives:
% 169.34/25.69  | 
% 169.34/25.69  | Case 1:
% 169.34/25.69  | | 
% 169.34/25.69  | |   (133)  all_56_2 = e0
% 169.34/25.69  | | 
% 169.34/25.69  | | COMBINE_EQS: (73), (133) imply:
% 169.34/25.69  | |   (134)  all_52_1 = e0
% 169.34/25.69  | | 
% 169.34/25.69  | | REDUCE: (103), (134) imply:
% 169.34/25.69  | |   (135)  $false
% 169.34/25.69  | | 
% 169.34/25.69  | | CLOSE: (135) is inconsistent.
% 169.34/25.69  | | 
% 169.34/25.69  | Case 2:
% 169.34/25.69  | | 
% 169.34/25.69  | |   (136)   ~ (all_56_2 = e0)
% 169.34/25.69  | |   (137)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.34/25.69  | | 
% 169.34/25.69  | | BETA: splitting (16) gives:
% 169.34/25.69  | | 
% 169.34/25.69  | | Case 1:
% 169.34/25.69  | | | 
% 169.34/25.69  | | |   (138)  all_54_5 = e0
% 169.34/25.69  | | | 
% 169.34/25.69  | | | COMBINE_EQS: (125), (138) imply:
% 169.34/25.69  | | |   (139)  all_4_2 = e0
% 169.34/25.69  | | | 
% 169.34/25.69  | | | REF_CLOSE: (3), (12), (20), (25), (27), (79), (98), (108), (113), (137),
% 169.34/25.69  | | |            (139) are inconsistent by sub-proof #58.
% 169.34/25.69  | | | 
% 169.34/25.69  | | Case 2:
% 169.34/25.69  | | | 
% 169.34/25.69  | | |   (140)   ~ (all_54_5 = e0)
% 169.34/25.69  | | |   (141)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 169.34/25.69  | | | 
% 169.34/25.69  | | | REDUCE: (125), (140) imply:
% 169.34/25.69  | | |   (142)   ~ (all_4_2 = e0)
% 169.34/25.69  | | | 
% 169.34/25.69  | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 169.34/25.69  | | |            (14), (15), (17), (18), (19), (21), (22), (23), (24), (25),
% 169.34/25.69  | | |            (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 169.34/25.69  | | |            (36), (37), (38), (39), (40), (41), (42), (43), (44), (45),
% 169.34/25.69  | | |            (46), (47), (48), (49), (50), (51), (52), (53), (54), (55),
% 169.34/25.69  | | |            (56), (57), (58), (59), (60), (61), (62), (63), (64), (65),
% 169.34/25.69  | | |            (66), (67), (68), (69), (70), (71), (72), (73), (74), (75),
% 169.34/25.69  | | |            (76), (77), (78), (80), (81), (82), (83), (84), (85), (86),
% 169.34/25.69  | | |            (87), (88), (89), (90), (91), (92), (93), (94), (95), (96),
% 169.34/25.69  | | |            (97), (98), (99), (100), (101), (102), (103), (104), (105),
% 169.34/25.69  | | |            (106), (107), (108), (109), (110), (111), (112), (113), (114),
% 169.34/25.69  | | |            (115), (116), (117), (118), (119), (120), (121), (122), (123),
% 169.34/25.69  | | |            (124), (125), (126), (127), (128), (129), (130), (131), (132),
% 169.34/25.69  | | |            (141), (142) are inconsistent by sub-proof #192.
% 169.34/25.69  | | | 
% 169.34/25.69  | | End of split
% 169.34/25.69  | | 
% 169.34/25.69  | End of split
% 169.34/25.69  | 
% 169.34/25.69  End of proof
% 169.34/25.69  
% 169.34/25.69  Sub-proof #34 shows that the following formulas are inconsistent:
% 169.34/25.69  ----------------------------------------------------------------
% 169.34/25.69    (1)   ~ (all_52_12 = all_14_2)
% 169.34/25.69    (2)  all_56_1 = all_52_4
% 169.34/25.69    (3)  op(all_4_2, e2) = e0
% 169.34/25.69    (4)  op(e1, e3) = all_52_2
% 169.34/25.69    (5)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 169.34/25.69    (6)   ~ (all_10_2 = e0)
% 169.34/25.69    (7)   ~ (all_52_8 = all_52_12)
% 169.34/25.69    (8)   ~ (e3 = e1)
% 169.34/25.69    (9)  all_58_23 = all_52_7
% 169.34/25.69    (10)   ~ (all_14_1 = e1)
% 169.34/25.69    (11)   ~ (all_52_2 = all_6_2)
% 169.34/25.69    (12)  all_8_2 = all_6_2
% 169.34/25.69    (13)   ~ (all_52_4 = all_4_2)
% 169.34/25.69    (14)  all_56_5 = all_52_9
% 169.34/25.69    (15)  op(all_6_2, e3) = all_6_1
% 169.34/25.69    (16)   ~ (all_52_12 = all_6_2)
% 169.34/25.69    (17)   ~ (all_52_6 = all_4_2)
% 169.34/25.69    (18)   ~ (all_14_2 = e1)
% 169.34/25.69    (19)  all_56_15 = all_14_2
% 169.34/25.69    (20)   ~ (all_52_11 = all_14_2)
% 169.34/25.69    (21)  op(e0, e2) = all_52_7
% 169.34/25.69    (22)  op(e3, all_52_4) = all_58_1
% 169.34/25.69    (23)  all_54_1 = all_52_4
% 169.34/25.69    (24)  all_56_14 = all_52_11
% 169.34/25.69    (25)  all_56_12 = e0
% 169.34/25.69    (26)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 169.34/25.69    (27)  all_56_8 = all_10_2
% 169.34/25.69    (28)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 169.34/25.69    (29)  all_58_26 = all_10_2
% 169.34/25.69    (30)   ~ (all_52_4 = all_52_6)
% 169.34/25.69    (31)  all_58_31 = all_14_2
% 169.34/25.69    (32)   ~ (all_52_11 = all_10_2)
% 169.34/25.69    (33)   ~ (all_52_9 = all_52_13)
% 169.34/25.69    (34)   ~ (all_52_1 = all_6_2)
% 169.34/25.69    (35)  all_56_11 = all_52_14
% 169.34/25.69    (36)   ~ (all_52_6 = all_52_7)
% 169.34/25.69    (37)  all_56_0 = all_6_2
% 169.34/25.69    (38)   ~ (all_52_9 = all_10_2)
% 169.34/25.69    (39)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 169.34/25.69    (40)  all_58_30 = all_52_14
% 169.34/25.69    (41)  all_58_27 = all_52_11
% 169.34/25.69    (42)  all_54_14 = all_52_11
% 169.34/25.69    (43)  op(e2, all_4_2) = all_58_5
% 169.34/25.69    (44)  all_56_9 = all_52_12
% 169.34/25.69    (45)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 169.34/25.69    (46)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 169.34/25.69    (47)  op(e2, e2) = all_4_2
% 169.34/25.69    (48)   ~ (e3 = e2)
% 169.34/25.69    (49)   ~ (all_52_4 = all_52_7)
% 169.34/25.69    (50)   ~ (e2 = e1)
% 169.34/25.69    (51)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 169.34/25.69    (52)   ~ (all_52_2 = e0)
% 169.34/25.69    (53)   ~ (all_52_7 = all_14_2)
% 169.34/25.69    (54)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 169.34/25.69    (55)   ~ (all_52_13 = all_14_2)
% 169.34/25.69    (56)   ~ (all_52_1 = all_4_2)
% 169.34/25.69    (57)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.34/25.69    (58)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 169.34/25.69    (59)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 169.34/25.69    (60)   ~ (all_52_13 = all_52_14)
% 169.34/25.69    (61)  op(e2, e3) = all_52_1
% 169.34/25.69    (62)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 169.34/25.69    (63)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 169.34/25.69    (64)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 169.34/25.69    (65)   ~ (all_52_8 = all_52_9)
% 169.34/25.69    (66)   ~ (all_52_4 = all_6_2)
% 169.34/25.69    (67)  all_56_2 = all_52_1
% 169.34/25.69    (68)   ~ (e3 = e0)
% 169.34/25.69    (69)  op(e3, e0) = all_52_12
% 169.34/25.69    (70)  all_58_29 = all_52_13
% 169.34/25.69    (71)   ~ (all_52_1 = all_52_2)
% 169.34/25.69    (72)   ~ (all_52_13 = e0)
% 169.34/25.69    (73)   ~ (all_6_2 = e0)
% 169.34/25.69    (74)   ~ (all_52_6 = all_52_14)
% 169.34/25.69    (75)   ~ (all_52_7 = all_4_2)
% 169.34/25.69    (76)  all_56_4 = all_52_8
% 169.34/25.69    (77)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.34/25.69    (78)   ~ (all_52_1 = all_52_13)
% 169.34/25.69    (79)  all_58_20 = all_52_4
% 169.34/25.69    (80)  all_54_13 = all_52_7
% 169.34/25.69    (81)  all_54_15 = all_14_2
% 169.34/25.69    (82)   ~ (all_52_7 = all_52_11)
% 169.34/25.69    (83)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 169.34/25.69    (84)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 169.34/25.69    (85)   ~ (all_52_8 = all_52_11)
% 169.34/25.69    (86)   ~ (all_52_8 = all_6_2)
% 169.34/25.69    (87)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 169.34/25.69    (88)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 169.34/25.69    (89)  all_56_6 = all_52_2
% 169.34/25.69    (90)   ~ (all_52_1 = all_52_9)
% 169.34/25.69    (91)  all_58_24 = all_52_8
% 169.34/25.69    (92)   ~ (all_52_12 = all_52_14)
% 169.34/25.69    (93)   ~ (all_52_9 = all_52_11)
% 169.34/25.69    (94)  all_58_22 = all_52_6
% 169.34/25.70    (95)  op(all_14_2, e0) = all_14_1
% 169.34/25.70    (96)   ~ (all_52_4 = all_52_12)
% 169.34/25.70    (97)  all_56_3 = all_4_2
% 169.34/25.70    (98)  all_54_0 = all_6_2
% 169.34/25.70    (99)   ~ (all_52_14 = all_10_2)
% 169.34/25.70    (100)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 169.34/25.70    (101)   ~ (all_52_11 = e0)
% 169.34/25.70    (102)   ~ (all_52_1 = e0)
% 169.34/25.70    (103)   ~ (all_52_4 = all_52_8)
% 169.34/25.70    (104)   ~ (all_52_14 = all_14_2)
% 169.34/25.70    (105)  all_58_25 = all_52_9
% 169.34/25.70    (106)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.34/25.70             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.34/25.70    (107)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 169.34/25.70    (108)  all_58_21 = all_4_2
% 169.34/25.70    (109)  all_56_10 = all_52_13
% 169.34/25.70    (110)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 169.34/25.70    (111)   ~ (e2 = e0)
% 169.34/25.70    (112)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 169.34/25.70    (113)  all_8_1 = all_6_1
% 169.34/25.70    (114)  all_58_28 = all_52_12
% 169.34/25.70    (115)   ~ (e1 = e0)
% 169.34/25.70    (116)  all_54_4 = all_52_1
% 169.34/25.70    (117)  all_56_7 = all_52_6
% 169.34/25.70    (118)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 169.34/25.70    (119)   ~ (all_52_2 = all_10_2)
% 169.34/25.70  
% 169.34/25.70  Begin of proof
% 169.34/25.70  | 
% 169.34/25.70  | BETA: splitting (83) gives:
% 169.34/25.70  | 
% 169.34/25.70  | Case 1:
% 169.34/25.70  | | 
% 169.34/25.70  | |   (120)  all_56_6 = e0
% 169.34/25.70  | | 
% 169.34/25.70  | | COMBINE_EQS: (89), (120) imply:
% 169.34/25.70  | |   (121)  all_52_2 = e0
% 169.34/25.70  | | 
% 169.34/25.70  | | REDUCE: (52), (121) imply:
% 169.34/25.70  | |   (122)  $false
% 169.34/25.70  | | 
% 169.34/25.70  | | CLOSE: (122) is inconsistent.
% 169.34/25.70  | | 
% 169.34/25.70  | Case 2:
% 169.34/25.70  | | 
% 169.34/25.70  | |   (123)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 169.34/25.70  | | 
% 169.34/25.70  | | BETA: splitting (64) gives:
% 169.34/25.70  | | 
% 169.34/25.70  | | Case 1:
% 169.34/25.70  | | | 
% 169.34/25.70  | | |   (124)  all_56_4 = e0
% 169.34/25.70  | | | 
% 169.34/25.70  | | | REF_CLOSE: (3), (14), (21), (65), (67), (72), (75), (76), (77), (97),
% 169.34/25.70  | | |            (102), (106), (109), (124) are inconsistent by sub-proof #125.
% 169.34/25.70  | | | 
% 169.34/25.70  | | Case 2:
% 169.34/25.70  | | | 
% 169.34/25.70  | | |   (125)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 169.34/25.70  | | | 
% 169.34/25.70  | | | BETA: splitting (125) gives:
% 169.34/25.70  | | | 
% 169.34/25.70  | | | Case 1:
% 169.34/25.70  | | | | 
% 169.34/25.70  | | | |   (126)  all_56_5 = e0
% 169.34/25.70  | | | | 
% 169.34/25.70  | | | | COMBINE_EQS: (14), (126) imply:
% 169.34/25.70  | | | |   (127)  all_52_9 = e0
% 169.34/25.70  | | | | 
% 169.34/25.70  | | | | COMBINE_EQS: (105), (127) imply:
% 169.34/25.70  | | | |   (128)  all_58_25 = e0
% 169.34/25.70  | | | | 
% 169.34/25.70  | | | | REDUCE: (65), (127) imply:
% 169.34/25.70  | | | |   (129)   ~ (all_52_8 = e0)
% 169.34/25.70  | | | | 
% 169.34/25.70  | | | | REDUCE: (93), (127) imply:
% 169.34/25.70  | | | |   (130)   ~ (all_52_11 = e0)
% 169.34/25.70  | | | | 
% 169.34/25.70  | | | | REDUCE: (33), (127) imply:
% 169.34/25.70  | | | |   (131)   ~ (all_52_13 = e0)
% 169.34/25.70  | | | | 
% 169.34/25.70  | | | | REDUCE: (38), (127) imply:
% 169.34/25.70  | | | |   (132)   ~ (all_10_2 = e0)
% 169.34/25.70  | | | | 
% 169.34/25.70  | | | | BETA: splitting (88) gives:
% 169.34/25.70  | | | | 
% 169.34/25.70  | | | | Case 1:
% 169.34/25.70  | | | | | 
% 169.34/25.70  | | | | |   (133)  all_56_0 = e0
% 169.34/25.70  | | | | | 
% 169.34/25.70  | | | | | COMBINE_EQS: (37), (133) imply:
% 169.34/25.70  | | | | |   (134)  all_6_2 = e0
% 169.34/25.70  | | | | | 
% 169.34/25.70  | | | | | REDUCE: (73), (134) imply:
% 169.34/25.70  | | | | |   (135)  $false
% 169.34/25.70  | | | | | 
% 169.34/25.70  | | | | | CLOSE: (135) is inconsistent.
% 169.34/25.70  | | | | | 
% 169.34/25.70  | | | | Case 2:
% 169.34/25.70  | | | | | 
% 169.34/25.70  | | | | |   (136)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 169.34/25.70  | | | | | 
% 169.34/25.70  | | | | | BETA: splitting (63) gives:
% 169.34/25.70  | | | | | 
% 169.34/25.70  | | | | | Case 1:
% 169.34/25.70  | | | | | | 
% 169.34/25.70  | | | | | |   (137)  all_56_1 = e0
% 169.34/25.70  | | | | | | 
% 169.34/25.70  | | | | | | COMBINE_EQS: (2), (137) imply:
% 169.34/25.70  | | | | | |   (138)  all_52_4 = e0
% 169.34/25.70  | | | | | | 
% 169.34/25.70  | | | | | | COMBINE_EQS: (79), (138) imply:
% 169.34/25.70  | | | | | |   (139)  all_58_20 = e0
% 169.34/25.70  | | | | | | 
% 169.34/25.70  | | | | | | REDUCE: (49), (138) imply:
% 169.34/25.70  | | | | | |   (140)   ~ (all_52_7 = e0)
% 169.34/25.70  | | | | | | 
% 169.34/25.70  | | | | | | SIMP: (140) implies:
% 169.34/25.70  | | | | | |   (141)   ~ (all_52_7 = e0)
% 169.34/25.70  | | | | | | 
% 169.34/25.70  | | | | | | REDUCE: (96), (138) imply:
% 169.34/25.70  | | | | | |   (142)   ~ (all_52_12 = e0)
% 169.34/25.70  | | | | | | 
% 169.34/25.70  | | | | | | SIMP: (142) implies:
% 169.34/25.70  | | | | | |   (143)   ~ (all_52_12 = e0)
% 169.34/25.70  | | | | | | 
% 169.34/25.70  | | | | | | REDUCE: (13), (138) imply:
% 169.34/25.70  | | | | | |   (144)   ~ (all_4_2 = e0)
% 169.34/25.70  | | | | | | 
% 169.34/25.70  | | | | | | SIMP: (144) implies:
% 169.34/25.70  | | | | | |   (145)   ~ (all_4_2 = e0)
% 169.34/25.70  | | | | | | 
% 169.34/25.70  | | | | | | REDUCE: (22), (138) imply:
% 169.34/25.70  | | | | | |   (146)  op(e3, e0) = all_58_1
% 169.34/25.70  | | | | | | 
% 169.34/25.70  | | | | | | BETA: splitting (107) gives:
% 169.34/25.70  | | | | | | 
% 169.34/25.70  | | | | | | Case 1:
% 169.34/25.70  | | | | | | | 
% 169.34/25.70  | | | | | | |   (147)  all_56_9 = e0
% 169.34/25.70  | | | | | | | 
% 169.34/25.70  | | | | | | | REF_CLOSE: (44), (143), (147) are inconsistent by sub-proof #908.
% 169.34/25.70  | | | | | | | 
% 169.34/25.70  | | | | | | Case 2:
% 169.34/25.70  | | | | | | | 
% 169.34/25.70  | | | | | | |   (148)  all_56_10 = e0 | all_56_11 = e0
% 169.34/25.70  | | | | | | | 
% 169.34/25.70  | | | | | | | BETA: splitting (148) gives:
% 169.34/25.70  | | | | | | | 
% 169.34/25.70  | | | | | | | Case 1:
% 169.34/25.70  | | | | | | | | 
% 169.34/25.70  | | | | | | | |   (149)  all_56_10 = e0
% 169.34/25.70  | | | | | | | | 
% 169.34/25.70  | | | | | | | | REF_CLOSE: (72), (109), (149) are inconsistent by sub-proof
% 169.34/25.70  | | | | | | | |            #943.
% 169.34/25.70  | | | | | | | | 
% 169.34/25.70  | | | | | | | Case 2:
% 169.34/25.70  | | | | | | | | 
% 169.34/25.70  | | | | | | | |   (150)  all_56_11 = e0
% 169.34/25.70  | | | | | | | | 
% 169.34/25.70  | | | | | | | | COMBINE_EQS: (35), (150) imply:
% 169.34/25.70  | | | | | | | |   (151)  all_52_14 = e0
% 169.34/25.70  | | | | | | | | 
% 169.34/25.70  | | | | | | | | SIMP: (151) implies:
% 169.34/25.70  | | | | | | | |   (152)  all_52_14 = e0
% 169.34/25.70  | | | | | | | | 
% 169.34/25.70  | | | | | | | | COMBINE_EQS: (40), (152) imply:
% 169.34/25.70  | | | | | | | |   (153)  all_58_30 = e0
% 169.34/25.70  | | | | | | | | 
% 169.34/25.70  | | | | | | | | REDUCE: (104), (152) imply:
% 169.34/25.70  | | | | | | | |   (154)   ~ (all_14_2 = e0)
% 169.34/25.70  | | | | | | | | 
% 169.34/25.70  | | | | | | | | SIMP: (154) implies:
% 169.34/25.70  | | | | | | | |   (155)   ~ (all_14_2 = e0)
% 169.34/25.70  | | | | | | | | 
% 169.34/25.70  | | | | | | | | GROUND_INST: instantiating (106) with all_52_12, all_58_1, e0,
% 169.34/25.70  | | | | | | | |              e3, simplifying with (69), (146) gives:
% 169.34/25.70  | | | | | | | |   (156)  all_58_1 = all_52_12
% 169.34/25.70  | | | | | | | | 
% 169.34/25.70  | | | | | | | | BETA: splitting (45) gives:
% 169.34/25.70  | | | | | | | | 
% 169.34/25.70  | | | | | | | | Case 1:
% 169.34/25.70  | | | | | | | | | 
% 169.34/25.70  | | | | | | | | |   (157)  all_54_14 = e0
% 169.34/25.70  | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | REF_CLOSE: (42), (101), (157) are inconsistent by sub-proof
% 169.34/25.70  | | | | | | | | |            #799.
% 169.34/25.70  | | | | | | | | | 
% 169.34/25.70  | | | | | | | | Case 2:
% 169.34/25.70  | | | | | | | | | 
% 169.34/25.70  | | | | | | | | |   (158)   ~ (all_54_14 = e0)
% 169.34/25.70  | | | | | | | | |   (159)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 169.34/25.70  | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | BETA: splitting (59) gives:
% 169.34/25.70  | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | Case 1:
% 169.34/25.70  | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | |   (160)  all_56_9 = e1
% 169.34/25.70  | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | REF_CLOSE: (8), (10), (19), (28), (31), (44), (48), (51),
% 169.34/25.70  | | | | | | | | | |            (68), (69), (70), (95), (106), (109), (114),
% 169.34/25.70  | | | | | | | | | |            (143), (150), (153), (155), (160) are inconsistent
% 169.34/25.70  | | | | | | | | | |            by sub-proof #114.
% 169.34/25.70  | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | Case 2:
% 169.34/25.70  | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | |   (161)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 169.34/25.70  | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | BETA: splitting (161) gives:
% 169.34/25.70  | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | Case 1:
% 169.34/25.70  | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | |   (162)  all_56_10 = e1
% 169.34/25.70  | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | COMBINE_EQS: (109), (162) imply:
% 169.34/25.70  | | | | | | | | | | |   (163)  all_52_13 = e1
% 169.34/25.70  | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | SIMP: (163) implies:
% 169.34/25.70  | | | | | | | | | | |   (164)  all_52_13 = e1
% 169.34/25.70  | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | COMBINE_EQS: (70), (164) imply:
% 169.34/25.70  | | | | | | | | | | |   (165)  all_58_29 = e1
% 169.34/25.70  | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | REDUCE: (55), (164) imply:
% 169.34/25.70  | | | | | | | | | | |   (166)   ~ (all_14_2 = e1)
% 169.34/25.70  | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | BETA: splitting (28) gives:
% 169.34/25.70  | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | Case 1:
% 169.34/25.70  | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | |   (167)  all_58_31 = e0
% 169.34/25.70  | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | | COMBINE_EQS: (31), (167) imply:
% 169.34/25.70  | | | | | | | | | | | |   (168)  all_14_2 = e0
% 169.34/25.70  | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | | REDUCE: (155), (168) imply:
% 169.34/25.70  | | | | | | | | | | | |   (169)  $false
% 169.34/25.70  | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | | CLOSE: (169) is inconsistent.
% 169.34/25.70  | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | Case 2:
% 169.34/25.70  | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | |   (170)   ~ (all_58_31 = e0)
% 169.34/25.70  | | | | | | | | | | | |   (171)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 169.34/25.70  | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | | REF_CLOSE: (1), (3), (7), (9), (18), (20), (29), (32), (36),
% 169.34/25.70  | | | | | | | | | | | |            (39), (41), (42), (43), (47), (50), (53), (80),
% 169.34/25.70  | | | | | | | | | | | |            (81), (82), (84), (91), (94), (100), (101), (106),
% 169.34/25.70  | | | | | | | | | | | |            (108), (112), (114), (115), (128), (139), (141),
% 169.34/25.70  | | | | | | | | | | | |            (145), (153), (155), (159), (165), (171) are
% 169.34/25.70  | | | | | | | | | | | |            inconsistent by sub-proof #35.
% 169.34/25.70  | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | End of split
% 169.34/25.70  | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | Case 2:
% 169.34/25.70  | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | |   (172)  all_56_11 = e1 | all_56_15 = e1
% 169.34/25.70  | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | REF_CLOSE: (18), (19), (115), (150), (172) are inconsistent
% 169.34/25.70  | | | | | | | | | | |            by sub-proof #804.
% 169.34/25.70  | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | End of split
% 169.34/25.70  | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | End of split
% 169.34/25.70  | | | | | | | | | 
% 169.34/25.70  | | | | | | | | End of split
% 169.34/25.70  | | | | | | | | 
% 169.34/25.70  | | | | | | | End of split
% 169.34/25.70  | | | | | | | 
% 169.34/25.70  | | | | | | End of split
% 169.34/25.70  | | | | | | 
% 169.34/25.70  | | | | | Case 2:
% 169.34/25.70  | | | | | | 
% 169.34/25.70  | | | | | |   (173)   ~ (all_56_1 = e0)
% 169.34/25.70  | | | | | | 
% 169.34/25.70  | | | | | | REDUCE: (2), (173) imply:
% 169.34/25.70  | | | | | |   (174)   ~ (all_52_4 = e0)
% 169.34/25.70  | | | | | | 
% 169.34/25.70  | | | | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (9), (11), (12), (13),
% 169.34/25.70  | | | | | |            (15), (16), (17), (19), (23), (25), (26), (27), (28),
% 169.34/25.70  | | | | | |            (29), (30), (31), (32), (34), (35), (36), (37), (39),
% 169.34/25.70  | | | | | |            (40), (41), (42), (44), (45), (46), (48), (50), (53),
% 169.34/25.70  | | | | | |            (54), (56), (57), (58), (59), (60), (61), (62), (66),
% 169.34/25.70  | | | | | |            (67), (68), (70), (71), (74), (75), (76), (78), (79),
% 169.34/25.70  | | | | | |            (80), (82), (84), (85), (86), (87), (89), (91), (92),
% 169.34/25.70  | | | | | |            (94), (97), (98), (99), (101), (102), (103), (106),
% 169.34/25.70  | | | | | |            (108), (109), (110), (111), (112), (113), (114), (115),
% 169.34/25.70  | | | | | |            (116), (117), (118), (119), (123), (126), (128), (129),
% 169.34/25.70  | | | | | |            (136), (174) are inconsistent by sub-proof #208.
% 169.34/25.70  | | | | | | 
% 169.34/25.70  | | | | | End of split
% 169.34/25.70  | | | | | 
% 169.34/25.70  | | | | End of split
% 169.34/25.70  | | | | 
% 169.34/25.70  | | | Case 2:
% 169.34/25.70  | | | | 
% 169.34/25.70  | | | |   (175)  all_56_8 = e0 | all_56_14 = e0
% 169.34/25.70  | | | | 
% 169.34/25.70  | | | | REF_CLOSE: (6), (24), (27), (101), (175) are inconsistent by sub-proof
% 169.34/25.70  | | | |            #914.
% 169.34/25.70  | | | | 
% 169.34/25.70  | | | End of split
% 169.34/25.70  | | | 
% 169.34/25.70  | | End of split
% 169.34/25.70  | | 
% 169.34/25.70  | End of split
% 169.34/25.70  | 
% 169.34/25.70  End of proof
% 169.34/25.70  
% 169.34/25.70  Sub-proof #35 shows that the following formulas are inconsistent:
% 169.34/25.70  ----------------------------------------------------------------
% 169.34/25.70    (1)   ~ (all_52_12 = all_14_2)
% 169.34/25.70    (2)  op(all_4_2, e2) = e0
% 169.34/25.70    (3)   ~ (all_52_8 = all_52_12)
% 169.34/25.70    (4)  all_58_23 = all_52_7
% 169.34/25.70    (5)   ~ (all_14_2 = e1)
% 169.34/25.70    (6)   ~ (all_52_11 = all_14_2)
% 169.34/25.70    (7)   ~ (all_14_2 = e0)
% 169.34/25.70    (8)  all_58_29 = e1
% 169.34/25.70    (9)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 169.34/25.70    (10)  all_58_30 = e0
% 169.34/25.70    (11)  all_58_26 = all_10_2
% 169.34/25.70    (12)   ~ (all_52_11 = all_10_2)
% 169.34/25.70    (13)  all_58_25 = e0
% 169.34/25.70    (14)   ~ (all_52_6 = all_52_7)
% 169.34/25.70    (15)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 169.34/25.70    (16)  all_58_27 = all_52_11
% 169.34/25.70    (17)  all_54_14 = all_52_11
% 169.34/25.70    (18)  op(e2, all_4_2) = all_58_5
% 169.34/25.70    (19)  all_58_20 = e0
% 169.34/25.70    (20)  op(e2, e2) = all_4_2
% 169.34/25.70    (21)   ~ (e2 = e1)
% 169.34/25.70    (22)   ~ (all_52_7 = all_14_2)
% 169.34/25.70    (23)   ~ (all_4_2 = e0)
% 169.34/25.70    (24)  all_54_13 = all_52_7
% 169.34/25.70    (25)  all_54_15 = all_14_2
% 169.34/25.70    (26)   ~ (all_52_7 = all_52_11)
% 169.34/25.70    (27)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 169.34/25.70    (28)   ~ (all_52_7 = e0)
% 169.34/25.70    (29)  all_58_24 = all_52_8
% 169.34/25.70    (30)  all_58_22 = all_52_6
% 169.34/25.70    (31)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 169.34/25.70    (32)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 169.34/25.70    (33)   ~ (all_52_11 = e0)
% 169.34/25.70    (34)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.34/25.70            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.34/25.70    (35)  all_58_21 = all_4_2
% 169.34/25.70    (36)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 169.34/25.70    (37)  all_58_28 = all_52_12
% 169.34/25.70    (38)   ~ (e1 = e0)
% 169.34/25.70  
% 169.34/25.70  Begin of proof
% 169.34/25.70  | 
% 169.34/25.70  | BETA: splitting (9) gives:
% 169.34/25.70  | 
% 169.34/25.70  | Case 1:
% 169.34/25.70  | | 
% 169.34/25.70  | |   (39)  all_58_30 = e1
% 169.34/25.70  | | 
% 169.34/25.70  | | REF_CLOSE: (10), (38), (39) are inconsistent by sub-proof #838.
% 169.34/25.70  | | 
% 169.34/25.70  | Case 2:
% 169.34/25.70  | | 
% 169.34/25.70  | |   (40)  all_58_28 = e3 | all_58_29 = e2
% 169.34/25.70  | | 
% 169.34/25.70  | | BETA: splitting (40) gives:
% 169.34/25.70  | | 
% 169.34/25.70  | | Case 1:
% 169.34/25.70  | | | 
% 169.34/25.70  | | |   (41)  all_58_29 = e2
% 169.34/25.70  | | | 
% 169.34/25.70  | | | REF_CLOSE: (8), (21), (41) are inconsistent by sub-proof #858.
% 169.34/25.70  | | | 
% 169.34/25.70  | | Case 2:
% 169.34/25.70  | | | 
% 169.34/25.70  | | |   (42)  all_58_28 = e3
% 169.34/25.70  | | | 
% 169.34/25.70  | | | COMBINE_EQS: (37), (42) imply:
% 169.34/25.70  | | |   (43)  all_52_12 = e3
% 169.34/25.70  | | | 
% 169.34/25.70  | | | REDUCE: (3), (43) imply:
% 169.34/25.70  | | |   (44)   ~ (all_52_8 = e3)
% 169.34/25.70  | | | 
% 169.34/25.70  | | | REDUCE: (1), (43) imply:
% 169.34/25.70  | | |   (45)   ~ (all_14_2 = e3)
% 169.34/25.70  | | | 
% 169.34/25.70  | | | SIMP: (45) implies:
% 169.34/25.70  | | |   (46)   ~ (all_14_2 = e3)
% 169.34/25.70  | | | 
% 169.34/25.70  | | | BETA: splitting (31) gives:
% 169.34/25.70  | | | 
% 169.34/25.70  | | | Case 1:
% 169.34/25.70  | | | | 
% 169.34/25.70  | | | |   (47)  all_54_15 = e1
% 169.34/25.70  | | | | 
% 169.34/25.70  | | | | REF_CLOSE: (5), (25), (47) are inconsistent by sub-proof #752.
% 169.34/25.70  | | | | 
% 169.34/25.70  | | | Case 2:
% 169.34/25.70  | | | | 
% 169.34/25.70  | | | |   (48)  all_54_15 = e3 | all_54_15 = e2
% 169.34/25.70  | | | | 
% 169.34/25.70  | | | | BETA: splitting (48) gives:
% 169.34/25.70  | | | | 
% 169.34/25.70  | | | | Case 1:
% 169.34/25.70  | | | | | 
% 169.34/25.70  | | | | |   (49)  all_54_15 = e2
% 169.34/25.70  | | | | | 
% 169.34/25.70  | | | | | COMBINE_EQS: (25), (49) imply:
% 169.34/25.70  | | | | |   (50)  all_14_2 = e2
% 169.34/25.70  | | | | | 
% 169.34/25.70  | | | | | SIMP: (50) implies:
% 169.34/25.70  | | | | |   (51)  all_14_2 = e2
% 169.34/25.70  | | | | | 
% 169.34/25.70  | | | | | REDUCE: (22), (51) imply:
% 169.34/25.70  | | | | |   (52)   ~ (all_52_7 = e2)
% 169.34/25.70  | | | | | 
% 169.34/25.70  | | | | | REDUCE: (6), (51) imply:
% 169.34/25.70  | | | | |   (53)   ~ (all_52_11 = e2)
% 169.34/25.70  | | | | | 
% 169.34/25.70  | | | | | REDUCE: (7), (51) imply:
% 169.34/25.70  | | | | |   (54)   ~ (e2 = e0)
% 169.34/25.70  | | | | | 
% 169.34/25.70  | | | | | BETA: splitting (15) gives:
% 169.34/25.70  | | | | | 
% 169.34/25.70  | | | | | Case 1:
% 169.34/25.70  | | | | | | 
% 169.34/25.70  | | | | | |   (55)  all_58_27 = e0
% 169.34/25.70  | | | | | | 
% 169.34/25.70  | | | | | | COMBINE_EQS: (16), (55) imply:
% 169.34/25.70  | | | | | |   (56)  all_52_11 = e0
% 169.34/25.70  | | | | | | 
% 169.34/25.70  | | | | | | REDUCE: (33), (56) imply:
% 169.34/25.70  | | | | | |   (57)  $false
% 169.34/25.70  | | | | | | 
% 169.34/25.70  | | | | | | CLOSE: (57) is inconsistent.
% 169.34/25.70  | | | | | | 
% 169.34/25.70  | | | | | Case 2:
% 169.34/25.70  | | | | | | 
% 169.34/25.70  | | | | | |   (58)   ~ (all_58_27 = e0)
% 169.34/25.70  | | | | | |   (59)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 169.34/25.70  | | | | | | 
% 169.34/25.70  | | | | | | BETA: splitting (59) gives:
% 169.34/25.70  | | | | | | 
% 169.34/25.70  | | | | | | Case 1:
% 169.34/25.70  | | | | | | | 
% 169.34/25.70  | | | | | | |   (60)  all_58_26 = e1
% 169.34/25.70  | | | | | | | 
% 169.34/25.70  | | | | | | | COMBINE_EQS: (11), (60) imply:
% 169.34/25.70  | | | | | | |   (61)  all_10_2 = e1
% 169.34/25.70  | | | | | | | 
% 169.34/25.70  | | | | | | | SIMP: (61) implies:
% 169.34/25.70  | | | | | | |   (62)  all_10_2 = e1
% 169.34/25.70  | | | | | | | 
% 169.34/25.70  | | | | | | | REDUCE: (12), (62) imply:
% 169.34/25.70  | | | | | | |   (63)   ~ (all_52_11 = e1)
% 169.34/25.70  | | | | | | | 
% 169.34/25.70  | | | | | | | BETA: splitting (32) gives:
% 169.34/25.70  | | | | | | | 
% 169.34/25.70  | | | | | | | Case 1:
% 169.34/25.70  | | | | | | | | 
% 169.34/25.70  | | | | | | | |   (64)  all_54_14 = e1
% 169.34/25.70  | | | | | | | | 
% 169.34/25.70  | | | | | | | | COMBINE_EQS: (17), (64) imply:
% 169.34/25.70  | | | | | | | |   (65)  all_52_11 = e1
% 169.34/25.70  | | | | | | | | 
% 169.34/25.70  | | | | | | | | REDUCE: (63), (65) imply:
% 169.34/25.70  | | | | | | | |   (66)  $false
% 169.34/25.70  | | | | | | | | 
% 169.34/25.70  | | | | | | | | CLOSE: (66) is inconsistent.
% 169.34/25.70  | | | | | | | | 
% 169.34/25.70  | | | | | | | Case 2:
% 169.34/25.70  | | | | | | | | 
% 169.34/25.70  | | | | | | | |   (67)  all_54_14 = e3 | all_54_14 = e2
% 169.34/25.70  | | | | | | | | 
% 169.34/25.70  | | | | | | | | BETA: splitting (67) gives:
% 169.34/25.70  | | | | | | | | 
% 169.34/25.70  | | | | | | | | Case 1:
% 169.34/25.70  | | | | | | | | | 
% 169.34/25.70  | | | | | | | | |   (68)  all_54_14 = e2
% 169.34/25.70  | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | COMBINE_EQS: (17), (68) imply:
% 169.34/25.70  | | | | | | | | |   (69)  all_52_11 = e2
% 169.34/25.70  | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | REDUCE: (53), (69) imply:
% 169.34/25.70  | | | | | | | | |   (70)  $false
% 169.34/25.70  | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | CLOSE: (70) is inconsistent.
% 169.34/25.70  | | | | | | | | | 
% 169.34/25.70  | | | | | | | | Case 2:
% 169.34/25.70  | | | | | | | | | 
% 169.34/25.70  | | | | | | | | |   (71)  all_54_14 = e3
% 169.34/25.70  | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | COMBINE_EQS: (17), (71) imply:
% 169.34/25.70  | | | | | | | | |   (72)  all_52_11 = e3
% 169.34/25.70  | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | REDUCE: (26), (72) imply:
% 169.34/25.70  | | | | | | | | |   (73)   ~ (all_52_7 = e3)
% 169.34/25.70  | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | REDUCE: (33), (72) imply:
% 169.34/25.70  | | | | | | | | |   (74)   ~ (e3 = e0)
% 169.34/25.70  | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | BETA: splitting (36) gives:
% 169.34/25.70  | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | Case 1:
% 169.34/25.70  | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | |   (75)  all_54_13 = e0
% 169.34/25.70  | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | COMBINE_EQS: (24), (75) imply:
% 169.34/25.70  | | | | | | | | | |   (76)  all_52_7 = e0
% 169.34/25.70  | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | REDUCE: (28), (76) imply:
% 169.34/25.70  | | | | | | | | | |   (77)  $false
% 169.34/25.70  | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | CLOSE: (77) is inconsistent.
% 169.34/25.70  | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | Case 2:
% 169.34/25.70  | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | |   (78)   ~ (all_54_13 = e0)
% 169.34/25.70  | | | | | | | | | |   (79)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 169.34/25.70  | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | BETA: splitting (79) gives:
% 169.34/25.70  | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | Case 1:
% 169.34/25.70  | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | |   (80)  all_54_13 = e1
% 169.34/25.70  | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | COMBINE_EQS: (24), (80) imply:
% 169.34/25.70  | | | | | | | | | | |   (81)  all_52_7 = e1
% 169.34/25.70  | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | COMBINE_EQS: (4), (81) imply:
% 169.34/25.70  | | | | | | | | | | |   (82)  all_58_23 = e1
% 169.34/25.70  | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | REDUCE: (14), (81) imply:
% 169.34/25.70  | | | | | | | | | | |   (83)   ~ (all_52_6 = e1)
% 169.34/25.70  | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | REDUCE: (52), (81) imply:
% 169.34/25.70  | | | | | | | | | | |   (84)   ~ (e2 = e1)
% 169.34/25.70  | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | BETA: splitting (27) gives:
% 169.34/25.70  | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | Case 1:
% 169.34/25.70  | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | |   (85)  all_58_23 = e0
% 169.34/25.70  | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | | COMBINE_EQS: (82), (85) imply:
% 169.34/25.70  | | | | | | | | | | | |   (86)  e1 = e0
% 169.34/25.70  | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | | REDUCE: (38), (86) imply:
% 169.34/25.70  | | | | | | | | | | | |   (87)  $false
% 169.34/25.70  | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | | CLOSE: (87) is inconsistent.
% 169.34/25.70  | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | Case 2:
% 169.34/25.70  | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | |   (88)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 169.34/25.70  | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | | BETA: splitting (88) gives:
% 169.34/25.70  | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | | Case 1:
% 169.34/25.70  | | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | | |   (89)  all_58_22 = e1
% 169.34/25.70  | | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | | | COMBINE_EQS: (30), (89) imply:
% 169.34/25.70  | | | | | | | | | | | | |   (90)  all_52_6 = e1
% 169.34/25.70  | | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | | | REDUCE: (83), (90) imply:
% 169.34/25.70  | | | | | | | | | | | | |   (91)  $false
% 169.34/25.70  | | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | | | CLOSE: (91) is inconsistent.
% 169.34/25.70  | | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | | Case 2:
% 169.34/25.70  | | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | | |   (92)  all_58_20 = e3 | all_58_21 = e2
% 169.34/25.70  | | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | | | BETA: splitting (92) gives:
% 169.34/25.70  | | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | | | Case 1:
% 169.34/25.70  | | | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | | | |   (93)  all_58_21 = e2
% 169.34/25.70  | | | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | | | | REF_CLOSE: (2), (18), (20), (23), (34), (35), (93) are
% 169.34/25.70  | | | | | | | | | | | | | |            inconsistent by sub-proof #123.
% 169.34/25.70  | | | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | | | Case 2:
% 169.34/25.70  | | | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | | | |   (94)  all_58_20 = e3
% 169.34/25.70  | | | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | | | | COMBINE_EQS: (19), (94) imply:
% 169.34/25.70  | | | | | | | | | | | | | |   (95)  e3 = e0
% 169.34/25.70  | | | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | | | | SIMP: (95) implies:
% 169.34/25.70  | | | | | | | | | | | | | |   (96)  e3 = e0
% 169.34/25.70  | | | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | | | | COMBINE_EQS: (42), (96) imply:
% 169.34/25.70  | | | | | | | | | | | | | |   (97)  all_58_28 = e0
% 169.34/25.70  | | | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | | | | REF_CLOSE: (8), (21), (40), (74), (97) are inconsistent by
% 169.34/25.70  | | | | | | | | | | | | | |            sub-proof #509.
% 169.34/25.70  | | | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | | | End of split
% 169.34/25.70  | | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | | End of split
% 169.34/25.70  | | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | End of split
% 169.34/25.70  | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | Case 2:
% 169.34/25.70  | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | |   (98)  all_54_13 = e3 | all_54_13 = e2
% 169.34/25.70  | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | | REF_CLOSE: (24), (52), (73), (98) are inconsistent by
% 169.34/25.70  | | | | | | | | | | |            sub-proof #770.
% 169.34/25.70  | | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | | End of split
% 169.34/25.70  | | | | | | | | | | 
% 169.34/25.70  | | | | | | | | | End of split
% 169.34/25.70  | | | | | | | | | 
% 169.34/25.70  | | | | | | | | End of split
% 169.34/25.70  | | | | | | | | 
% 169.34/25.70  | | | | | | | End of split
% 169.34/25.70  | | | | | | | 
% 169.34/25.70  | | | | | | Case 2:
% 169.34/25.70  | | | | | | | 
% 169.34/25.70  | | | | | | |   (99)  all_58_24 = e3 | all_58_25 = e2
% 169.34/25.70  | | | | | | | 
% 169.34/25.70  | | | | | | | REF_CLOSE: (13), (29), (44), (54), (99) are inconsistent by
% 169.34/25.70  | | | | | | |            sub-proof #849.
% 169.34/25.70  | | | | | | | 
% 169.34/25.70  | | | | | | End of split
% 169.34/25.70  | | | | | | 
% 169.34/25.70  | | | | | End of split
% 169.34/25.70  | | | | | 
% 169.34/25.70  | | | | Case 2:
% 169.34/25.70  | | | | | 
% 169.34/25.70  | | | | |   (100)  all_54_15 = e3
% 169.34/25.70  | | | | | 
% 169.34/25.70  | | | | | REF_CLOSE: (25), (46), (100) are inconsistent by sub-proof #614.
% 169.34/25.70  | | | | | 
% 169.34/25.70  | | | | End of split
% 169.34/25.70  | | | | 
% 169.34/25.70  | | | End of split
% 169.34/25.70  | | | 
% 169.34/25.70  | | End of split
% 169.34/25.70  | | 
% 169.34/25.70  | End of split
% 169.34/25.70  | 
% 169.34/25.70  End of proof
% 169.34/25.70  
% 169.34/25.70  Sub-proof #36 shows that the following formulas are inconsistent:
% 169.34/25.70  ----------------------------------------------------------------
% 169.34/25.70    (1)   ~ (all_52_12 = all_14_2)
% 169.34/25.70    (2)  op(e0, e0) = all_14_2
% 169.34/25.70    (3)  all_54_8 = all_52_2
% 169.34/25.70    (4)  all_56_1 = all_52_4
% 169.34/25.70    (5)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 169.34/25.70    (6)  all_56_12 = all_52_3
% 169.34/25.70    (7)  op(e1, e3) = all_52_2
% 169.34/25.70    (8)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 169.34/25.70    (9)   ~ (all_10_2 = e0)
% 169.34/25.70    (10)   ~ (all_52_8 = all_52_12)
% 169.34/25.70    (11)   ~ (e3 = e1)
% 169.34/25.70    (12)  all_58_23 = all_52_7
% 169.34/25.70    (13)   ~ (all_52_2 = all_6_2)
% 169.34/25.70    (14)  all_8_2 = all_6_2
% 169.34/25.70    (15)   ~ (all_52_4 = all_4_2)
% 169.34/25.70    (16)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 169.34/25.70    (17)  all_56_5 = all_52_9
% 169.34/25.70    (18)   ~ (all_52_3 = all_52_11)
% 169.34/25.70    (19)  op(all_6_2, e3) = all_6_1
% 169.34/25.70    (20)   ~ (all_52_12 = all_6_2)
% 169.34/25.70    (21)  op(e2, e0) = all_52_13
% 169.34/25.70    (22)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 169.34/25.70    (23)   ~ (all_52_6 = all_4_2)
% 169.34/25.70    (24)  op(e3, all_6_2) = all_58_0
% 169.34/25.70    (25)  op(e1, e0) = all_52_14
% 169.34/25.70    (26)  all_56_15 = all_14_2
% 169.34/25.70    (27)  all_54_1 = all_52_4
% 169.34/25.70    (28)   ~ (all_52_9 = all_4_2)
% 169.34/25.70    (29)  all_54_6 = all_52_9
% 169.34/25.70    (30)  all_56_14 = all_52_11
% 169.34/25.70    (31)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 169.34/25.70    (32)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 169.34/25.70    (33)   ~ (all_52_13 = all_4_2)
% 169.34/25.70    (34)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 169.34/25.70    (35)  all_56_8 = all_10_2
% 169.34/25.70    (36)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 169.34/25.70    (37)   ~ (all_52_9 = e0)
% 169.34/25.70    (38)  all_58_26 = all_10_2
% 169.34/25.70    (39)   ~ (all_52_4 = all_52_6)
% 169.34/25.70    (40)  all_58_31 = all_14_2
% 169.34/25.70    (41)   ~ (all_52_9 = all_52_13)
% 169.34/25.70    (42)   ~ (all_52_1 = all_6_2)
% 169.34/25.70    (43)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 169.34/25.70    (44)  all_54_2 = all_52_8
% 169.34/25.70    (45)  all_56_11 = all_52_14
% 169.34/25.70    (46)   ~ (all_52_6 = all_52_7)
% 169.34/25.70    (47)  all_56_0 = all_6_2
% 169.34/25.70    (48)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 169.34/25.70    (49)  all_58_30 = all_52_14
% 169.34/25.70    (50)  all_58_27 = all_52_11
% 169.34/25.70    (51)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 169.34/25.70    (52)  all_58_17 = all_52_1
% 169.34/25.70    (53)  all_58_19 = all_52_3
% 169.34/25.70    (54)  all_56_9 = all_52_12
% 169.34/25.70    (55)   ~ (all_52_2 = all_52_6)
% 169.34/25.70    (56)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 169.34/25.70    (57)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 169.34/25.70    (58)   ~ (e3 = e2)
% 169.34/25.70    (59)   ~ (all_52_4 = all_52_7)
% 169.34/25.70    (60)   ~ (e2 = e1)
% 169.34/25.70    (61)   ~ (all_52_6 = all_10_2)
% 169.34/25.70    (62)  op(e0, all_52_11) = all_58_14
% 169.34/25.70    (63)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 169.34/25.70    (64)   ~ (all_52_13 = all_14_2)
% 169.34/25.70    (65)   ~ (all_52_1 = all_4_2)
% 169.34/25.71    (66)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.34/25.71    (67)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 169.34/25.71    (68)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 169.34/25.71    (69)   ~ (all_52_13 = all_52_14)
% 169.34/25.71    (70)  op(e2, e3) = all_52_1
% 169.34/25.71    (71)  all_58_18 = all_52_2
% 169.34/25.71    (72)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 169.34/25.71    (73)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 169.34/25.71    (74)  all_58_16 = all_6_2
% 169.34/25.71    (75)  all_56_13 = all_52_7
% 169.34/25.71    (76)  op(e0, e3) = all_52_3
% 169.34/25.71    (77)   ~ (all_52_12 = e0)
% 169.34/25.71    (78)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 169.34/25.71    (79)   ~ (all_52_8 = all_52_9)
% 169.34/25.71    (80)   ~ (all_52_4 = all_6_2)
% 169.34/25.71    (81)  all_56_2 = all_52_1
% 169.34/25.71    (82)   ~ (e3 = e0)
% 169.34/25.71    (83)  op(e3, e0) = all_52_12
% 169.34/25.71    (84)  all_58_29 = all_52_13
% 169.34/25.71    (85)   ~ (all_52_1 = all_52_2)
% 169.34/25.71    (86)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 169.34/25.71    (87)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 169.34/25.71    (88)   ~ (all_52_6 = all_52_14)
% 169.34/25.71    (89)   ~ (all_52_7 = all_4_2)
% 169.34/25.71    (90)   ~ (all_52_8 = all_10_2)
% 169.34/25.71    (91)  all_56_4 = all_52_8
% 169.34/25.71    (92)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.34/25.71    (93)   ~ (all_52_1 = all_52_13)
% 169.34/25.71    (94)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 169.34/25.71    (95)  all_58_20 = all_52_4
% 169.34/25.71    (96)  all_54_15 = all_14_2
% 169.34/25.71    (97)   ~ (all_52_7 = all_52_11)
% 169.34/25.71    (98)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 169.34/25.71    (99)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 169.34/25.71    (100)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 169.34/25.71    (101)   ~ (all_52_8 = all_52_11)
% 169.34/25.71    (102)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 169.34/25.71    (103)   ~ (all_52_8 = all_6_2)
% 169.34/25.71    (104)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 169.34/25.71    (105)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 169.34/25.71    (106)  all_56_6 = all_52_2
% 169.34/25.71    (107)   ~ (all_52_1 = all_52_9)
% 169.34/25.71    (108)  all_58_24 = all_52_8
% 169.34/25.71    (109)   ~ (all_52_12 = all_52_14)
% 169.34/25.71    (110)  all_58_22 = all_52_6
% 169.34/25.71    (111)   ~ (all_52_4 = all_52_12)
% 169.34/25.71    (112)  all_56_3 = all_4_2
% 169.34/25.71    (113)  all_54_0 = all_6_2
% 169.34/25.71    (114)   ~ (all_52_14 = all_10_2)
% 169.34/25.71    (115)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 169.34/25.71    (116)   ~ (all_52_1 = e0)
% 169.34/25.71    (117)   ~ (all_52_2 = all_52_3)
% 169.34/25.71    (118)   ~ (all_52_4 = all_52_8)
% 169.34/25.71    (119)   ~ (all_52_14 = all_14_2)
% 169.34/25.71    (120)  all_58_25 = all_52_9
% 169.34/25.71    (121)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.34/25.71             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.34/25.71    (122)   ~ (all_52_2 = all_52_14)
% 169.34/25.71    (123)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 169.34/25.71    (124)  all_58_21 = all_4_2
% 169.34/25.71    (125)  all_56_10 = all_52_13
% 169.34/25.71    (126)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 169.34/25.71    (127)   ~ (e2 = e0)
% 169.34/25.71    (128)   ~ (all_52_1 = all_52_3)
% 169.34/25.71    (129)   ~ (all_52_14 = e0)
% 169.34/25.71    (130)  all_8_1 = all_6_1
% 169.34/25.71    (131)  all_58_28 = all_52_12
% 169.34/25.71    (132)  op(e1, all_52_6) = all_58_9
% 169.34/25.71    (133)   ~ (e1 = e0)
% 169.34/25.71    (134)  all_54_4 = all_52_1
% 169.34/25.71    (135)  all_56_7 = all_52_6
% 169.34/25.71    (136)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 169.34/25.71             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 169.34/25.71             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 169.34/25.71             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 169.34/25.71             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 169.34/25.71             (all_58_15 = e0))
% 169.34/25.71    (137)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 169.34/25.71    (138)  all_54_5 = all_4_2
% 169.34/25.71    (139)  op(e2, all_52_13) = all_58_7
% 169.34/25.71    (140)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 169.34/25.71    (141)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 169.34/25.71           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 169.34/25.71           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 169.34/25.71           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 169.34/25.71           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 169.34/25.71           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 169.34/25.71           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 169.34/25.71           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 169.34/25.71           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 169.34/25.71           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 169.34/25.71             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 169.34/25.71             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 169.34/25.71             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 169.34/25.71             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 169.34/25.71             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 169.34/25.71             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 169.34/25.71             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 169.34/25.71             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 169.34/25.71             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 169.34/25.71             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 169.34/25.71             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 169.34/25.71             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 169.34/25.71             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 169.34/25.71             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 169.34/25.71             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 169.34/25.71             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 169.34/25.71           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 169.34/25.71           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 169.34/25.71           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 169.34/25.71             all_58_30 = e0 & e1 = e0)
% 169.34/25.71    (142)   ~ (all_52_2 = all_10_2)
% 169.34/25.71    (143)  all_54_11 = all_52_14
% 169.34/25.71    (144)   ~ (all_52_12 = all_52_13)
% 169.34/25.71  
% 169.34/25.71  Begin of proof
% 169.34/25.71  | 
% 169.34/25.71  | BETA: splitting (57) gives:
% 169.34/25.71  | 
% 169.34/25.71  | Case 1:
% 169.34/25.71  | | 
% 169.34/25.71  | |   (145)  all_56_7 = e0
% 169.34/25.71  | | 
% 169.34/25.71  | | COMBINE_EQS: (135), (145) imply:
% 169.34/25.71  | |   (146)  all_52_6 = e0
% 169.34/25.71  | | 
% 169.34/25.71  | | COMBINE_EQS: (110), (146) imply:
% 169.34/25.71  | |   (147)  all_58_22 = e0
% 169.34/25.71  | | 
% 169.34/25.71  | | REDUCE: (55), (146) imply:
% 169.34/25.71  | |   (148)   ~ (all_52_2 = e0)
% 169.34/25.71  | | 
% 169.34/25.71  | | REDUCE: (39), (146) imply:
% 169.34/25.71  | |   (149)   ~ (all_52_4 = e0)
% 169.34/25.71  | | 
% 169.34/25.71  | | REDUCE: (46), (146) imply:
% 169.34/25.71  | |   (150)   ~ (all_52_7 = e0)
% 169.34/25.71  | | 
% 169.34/25.71  | | SIMP: (150) implies:
% 169.34/25.71  | |   (151)   ~ (all_52_7 = e0)
% 169.34/25.71  | | 
% 169.34/25.71  | | REDUCE: (88), (146) imply:
% 169.34/25.71  | |   (152)   ~ (all_52_14 = e0)
% 169.34/25.71  | | 
% 169.34/25.71  | | REDUCE: (61), (146) imply:
% 169.34/25.71  | |   (153)   ~ (all_10_2 = e0)
% 169.34/25.71  | | 
% 169.34/25.71  | | REDUCE: (23), (146) imply:
% 169.34/25.71  | |   (154)   ~ (all_4_2 = e0)
% 169.34/25.71  | | 
% 169.34/25.71  | | SIMP: (154) implies:
% 169.34/25.71  | |   (155)   ~ (all_4_2 = e0)
% 169.34/25.71  | | 
% 169.34/25.71  | | REDUCE: (132), (146) imply:
% 169.34/25.71  | |   (156)  op(e1, e0) = all_58_9
% 169.34/25.71  | | 
% 169.34/25.71  | | GROUND_INST: instantiating (121) with all_52_14, all_58_9, e0, e1,
% 169.34/25.71  | |              simplifying with (25), (156) gives:
% 169.34/25.71  | |   (157)  all_58_9 = all_52_14
% 169.34/25.71  | | 
% 169.34/25.71  | | BETA: splitting (98) gives:
% 169.34/25.71  | | 
% 169.34/25.71  | | Case 1:
% 169.34/25.71  | | | 
% 169.34/25.71  | | |   (158)  all_56_0 = e0
% 169.34/25.71  | | | 
% 169.34/25.71  | | | COMBINE_EQS: (47), (158) imply:
% 169.34/25.71  | | |   (159)  all_6_2 = e0
% 169.34/25.71  | | | 
% 169.34/25.71  | | | COMBINE_EQS: (74), (159) imply:
% 169.34/25.71  | | |   (160)  all_58_16 = e0
% 169.34/25.71  | | | 
% 169.34/25.71  | | | REDUCE: (103), (159) imply:
% 169.34/25.71  | | |   (161)   ~ (all_52_8 = e0)
% 169.34/25.71  | | | 
% 169.34/25.71  | | | REDUCE: (19), (159) imply:
% 169.34/25.71  | | |   (162)  op(e0, e3) = all_6_1
% 169.34/25.71  | | | 
% 169.34/25.71  | | | REDUCE: (24), (159) imply:
% 169.34/25.71  | | |   (163)  op(e3, e0) = all_58_0
% 169.34/25.71  | | | 
% 169.34/25.71  | | | BETA: splitting (78) gives:
% 169.34/25.71  | | | 
% 169.34/25.71  | | | Case 1:
% 169.34/25.71  | | | | 
% 169.34/25.71  | | | |   (164)  all_56_4 = e0
% 169.34/25.71  | | | | 
% 169.34/25.71  | | | | COMBINE_EQS: (91), (164) imply:
% 169.34/25.71  | | | |   (165)  all_52_8 = e0
% 169.34/25.71  | | | | 
% 169.34/25.71  | | | | REDUCE: (161), (165) imply:
% 169.34/25.71  | | | |   (166)  $false
% 169.34/25.71  | | | | 
% 169.34/25.71  | | | | CLOSE: (166) is inconsistent.
% 169.34/25.71  | | | | 
% 169.34/25.71  | | | Case 2:
% 169.34/25.71  | | | | 
% 169.34/25.71  | | | |   (167)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 169.34/25.71  | | | | 
% 169.34/25.71  | | | | BETA: splitting (167) gives:
% 169.34/25.71  | | | | 
% 169.34/25.71  | | | | Case 1:
% 169.34/25.71  | | | | | 
% 169.34/25.71  | | | | |   (168)  all_56_5 = e0
% 169.34/25.71  | | | | | 
% 169.34/25.71  | | | | | COMBINE_EQS: (17), (168) imply:
% 169.34/25.71  | | | | |   (169)  all_52_9 = e0
% 169.34/25.71  | | | | | 
% 169.34/25.71  | | | | | REDUCE: (37), (169) imply:
% 169.34/25.71  | | | | |   (170)  $false
% 169.34/25.71  | | | | | 
% 169.34/25.71  | | | | | CLOSE: (170) is inconsistent.
% 169.34/25.71  | | | | | 
% 169.34/25.71  | | | | Case 2:
% 169.34/25.71  | | | | | 
% 169.34/25.71  | | | | |   (171)  all_56_8 = e0 | all_56_14 = e0
% 169.34/25.71  | | | | | 
% 169.34/25.71  | | | | | BETA: splitting (171) gives:
% 169.34/25.71  | | | | | 
% 169.34/25.71  | | | | | Case 1:
% 169.34/25.71  | | | | | | 
% 169.34/25.71  | | | | | |   (172)  all_56_8 = e0
% 169.34/25.71  | | | | | | 
% 169.34/25.71  | | | | | | COMBINE_EQS: (35), (172) imply:
% 169.34/25.71  | | | | | |   (173)  all_10_2 = e0
% 169.34/25.71  | | | | | | 
% 169.34/25.71  | | | | | | REDUCE: (9), (173) imply:
% 169.34/25.71  | | | | | |   (174)  $false
% 169.34/25.71  | | | | | | 
% 169.34/25.71  | | | | | | CLOSE: (174) is inconsistent.
% 169.34/25.71  | | | | | | 
% 169.34/25.71  | | | | | Case 2:
% 169.34/25.71  | | | | | | 
% 169.34/25.71  | | | | | |   (175)  all_56_14 = e0
% 169.34/25.71  | | | | | | 
% 169.34/25.71  | | | | | | COMBINE_EQS: (30), (175) imply:
% 169.34/25.71  | | | | | |   (176)  all_52_11 = e0
% 169.34/25.71  | | | | | | 
% 169.34/25.71  | | | | | | SIMP: (176) implies:
% 169.34/25.71  | | | | | |   (177)  all_52_11 = e0
% 169.34/25.71  | | | | | | 
% 169.34/25.71  | | | | | | COMBINE_EQS: (50), (177) imply:
% 169.34/25.71  | | | | | |   (178)  all_58_27 = e0
% 169.34/25.71  | | | | | | 
% 169.34/25.71  | | | | | | REDUCE: (18), (177) imply:
% 169.34/25.71  | | | | | |   (179)   ~ (all_52_3 = e0)
% 169.34/25.71  | | | | | | 
% 169.34/25.71  | | | | | | REDUCE: (62), (177) imply:
% 169.34/25.71  | | | | | |   (180)  op(e0, e0) = all_58_14
% 169.34/25.71  | | | | | | 
% 169.34/25.71  | | | | | | GROUND_INST: instantiating (121) with all_14_2, all_58_14, e0, e0,
% 169.34/25.71  | | | | | |              simplifying with (2), (180) gives:
% 169.34/25.71  | | | | | |   (181)  all_58_14 = all_14_2
% 169.34/25.71  | | | | | | 
% 169.34/25.71  | | | | | | GROUND_INST: instantiating (121) with all_52_3, all_6_1, e3, e0,
% 169.34/25.71  | | | | | |              simplifying with (76), (162) gives:
% 169.34/25.71  | | | | | |   (182)  all_52_3 = all_6_1
% 169.34/25.71  | | | | | | 
% 169.34/25.71  | | | | | | GROUND_INST: instantiating (121) with all_52_12, all_58_0, e0, e3,
% 169.34/25.71  | | | | | |              simplifying with (83), (163) gives:
% 169.34/25.71  | | | | | |   (183)  all_58_0 = all_52_12
% 169.34/25.71  | | | | | | 
% 169.34/25.71  | | | | | | BETA: splitting (22) gives:
% 169.34/25.71  | | | | | | 
% 169.34/25.71  | | | | | | Case 1:
% 169.34/25.71  | | | | | | | 
% 169.34/25.71  | | | | | | |   (184)  all_54_5 = e0
% 169.34/25.71  | | | | | | | 
% 169.34/25.71  | | | | | | | REF_CLOSE: (138), (155), (184) are inconsistent by sub-proof #983.
% 169.34/25.71  | | | | | | | 
% 169.34/25.71  | | | | | | Case 2:
% 169.34/25.71  | | | | | | | 
% 169.34/25.71  | | | | | | |   (185)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 169.34/25.71  | | | | | | | 
% 169.34/25.71  | | | | | | | REF_CLOSE: (1), (4), (6), (10), (11), (12), (15), (16), (17),
% 169.34/25.71  | | | | | | |            (21), (26), (27), (28), (29), (31), (32), (33), (34),
% 169.34/25.71  | | | | | | |            (35), (36), (38), (40), (41), (43), (44), (45), (49),
% 169.34/25.71  | | | | | | |            (51), (52), (53), (54), (58), (59), (60), (63), (64),
% 169.34/25.71  | | | | | | |            (65), (66), (67), (68), (69), (71), (75), (76), (77),
% 169.34/25.71  | | | | | | |            (79), (81), (82), (83), (84), (85), (86), (89), (90),
% 169.34/25.71  | | | | | | |            (91), (93), (94), (95), (96), (99), (100), (102),
% 169.34/25.71  | | | | | | |            (106), (107), (108), (109), (111), (112), (114), (115),
% 169.34/25.71  | | | | | | |            (117), (118), (119), (120), (121), (122), (123), (124),
% 169.34/25.71  | | | | | | |            (125), (126), (127), (128), (129), (131), (133), (136),
% 169.34/25.71  | | | | | | |            (137), (138), (139), (141), (143), (144), (145), (147),
% 169.34/25.71  | | | | | | |            (149), (151), (157), (158), (160), (161), (162), (163),
% 169.34/25.71  | | | | | | |            (178), (179), (181), (185) are inconsistent by
% 169.34/25.71  | | | | | | |            sub-proof #145.
% 169.34/25.71  | | | | | | | 
% 169.34/25.71  | | | | | | End of split
% 169.34/25.71  | | | | | | 
% 169.34/25.71  | | | | | End of split
% 169.34/25.71  | | | | | 
% 169.34/25.71  | | | | End of split
% 169.34/25.71  | | | | 
% 169.34/25.71  | | | End of split
% 169.34/25.71  | | | 
% 169.34/25.71  | | Case 2:
% 169.34/25.71  | | | 
% 169.34/25.71  | | |   (186)   ~ (all_56_0 = e0)
% 169.34/25.71  | | | 
% 169.34/25.71  | | | REDUCE: (47), (186) imply:
% 169.34/25.71  | | |   (187)   ~ (all_6_2 = e0)
% 169.34/25.71  | | | 
% 169.34/25.71  | | | BETA: splitting (105) gives:
% 169.34/25.71  | | | 
% 169.34/25.71  | | | Case 1:
% 169.34/25.71  | | | | 
% 169.34/25.71  | | | |   (188)  all_56_0 = e0
% 169.34/25.71  | | | | 
% 169.34/25.71  | | | | COMBINE_EQS: (47), (188) imply:
% 169.34/25.71  | | | |   (189)  all_6_2 = e0
% 169.34/25.71  | | | | 
% 169.34/25.71  | | | | REDUCE: (187), (189) imply:
% 169.34/25.71  | | | |   (190)  $false
% 169.34/25.71  | | | | 
% 169.34/25.71  | | | | CLOSE: (190) is inconsistent.
% 169.34/25.71  | | | | 
% 169.34/25.71  | | | Case 2:
% 169.34/25.71  | | | | 
% 169.34/25.71  | | | |   (191)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 169.34/25.71  | | | | 
% 169.34/25.71  | | | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (12), (13), (14), (15), (17),
% 169.34/25.71  | | | |            (19), (20), (23), (27), (28), (33), (34), (36), (38), (39),
% 169.34/25.71  | | | |            (40), (42), (46), (47), (48), (49), (50), (51), (54), (55),
% 169.34/25.71  | | | |            (56), (60), (64), (65), (66), (67), (70), (72), (73), (75),
% 169.34/25.71  | | | |            (77), (79), (80), (81), (84), (85), (87), (91), (92), (93),
% 169.34/25.71  | | | |            (95), (98), (100), (101), (103), (104), (106), (107), (108),
% 169.34/25.71  | | | |            (110), (111), (112), (113), (114), (116), (118), (120),
% 169.34/25.71  | | | |            (121), (122), (124), (125), (126), (127), (130), (131),
% 169.34/25.71  | | | |            (133), (134), (135), (140), (142), (144), (148), (149),
% 169.34/25.71  | | | |            (151), (155), (187), (191) are inconsistent by sub-proof
% 169.34/25.71  | | | |            #134.
% 169.34/25.71  | | | | 
% 169.34/25.71  | | | End of split
% 169.34/25.71  | | | 
% 169.34/25.71  | | End of split
% 169.34/25.71  | | 
% 169.34/25.71  | Case 2:
% 169.34/25.71  | | 
% 169.34/25.71  | |   (192)  all_56_8 = e0 | all_56_11 = e0
% 169.34/25.71  | | 
% 169.34/25.71  | | REF_CLOSE: (9), (35), (45), (129), (192) are inconsistent by sub-proof #912.
% 169.34/25.71  | | 
% 169.34/25.71  | End of split
% 169.34/25.71  | 
% 169.34/25.71  End of proof
% 169.34/25.71  
% 169.34/25.71  Sub-proof #37 shows that the following formulas are inconsistent:
% 169.34/25.71  ----------------------------------------------------------------
% 169.34/25.71    (1)  all_56_1 = all_52_4
% 169.34/25.71    (2)  op(all_4_2, e2) = e0
% 169.34/25.71    (3)   ~ (e3 = e1)
% 169.34/25.71    (4)  all_58_23 = all_52_7
% 169.34/25.71    (5)   ~ (all_52_4 = all_4_2)
% 169.34/25.71    (6)   ~ (all_14_2 = e1)
% 169.34/25.71    (7)  all_56_10 = e0
% 169.34/25.71    (8)  all_56_15 = all_14_2
% 169.34/25.71    (9)   ~ (all_14_2 = e0)
% 169.34/25.71    (10)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 169.34/25.71    (11)  all_58_31 = all_14_2
% 169.34/25.71    (12)  all_56_11 = all_52_14
% 169.34/25.71    (13)  all_56_0 = all_6_2
% 169.34/25.71    (14)  all_58_30 = all_52_14
% 169.34/25.71    (15)  op(e2, all_4_2) = all_58_5
% 169.34/25.71    (16)  all_56_9 = all_52_12
% 169.34/25.71    (17)  op(e2, e2) = all_4_2
% 169.34/25.71    (18)   ~ (all_52_4 = all_52_7)
% 169.34/25.71    (19)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 169.34/25.71    (20)   ~ (all_52_12 = e0)
% 169.34/25.71    (21)   ~ (e3 = e0)
% 169.34/25.71    (22)   ~ (all_6_2 = e0)
% 169.34/25.71    (23)   ~ (all_52_6 = all_52_14)
% 169.34/25.71    (24)  all_56_4 = all_52_8
% 169.34/25.71    (25)  all_58_20 = all_52_4
% 169.34/25.71    (26)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 169.34/25.71    (27)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 169.34/25.71    (28)   ~ (all_52_12 = all_52_14)
% 169.34/25.71    (29)  all_58_22 = all_52_6
% 169.34/25.71    (30)  all_58_29 = e0
% 169.34/25.71    (31)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.34/25.71            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.34/25.71    (32)  all_58_21 = all_4_2
% 169.34/25.71    (33)   ~ (e2 = e0)
% 169.34/25.71    (34)  all_58_28 = all_52_12
% 169.34/25.71    (35)   ~ (e1 = e0)
% 169.34/25.71    (36)   ~ (all_52_8 = e0)
% 169.34/25.71  
% 169.34/25.71  Begin of proof
% 169.34/25.71  | 
% 169.34/25.71  | BETA: splitting (27) gives:
% 169.34/25.71  | 
% 169.34/25.71  | Case 1:
% 169.34/25.71  | | 
% 169.34/25.71  | |   (37)  all_56_0 = e0
% 169.34/25.71  | | 
% 169.34/25.71  | | COMBINE_EQS: (13), (37) imply:
% 169.34/25.71  | |   (38)  all_6_2 = e0
% 169.34/25.71  | | 
% 169.34/25.71  | | REDUCE: (22), (38) imply:
% 169.34/25.71  | |   (39)  $false
% 169.34/25.71  | | 
% 169.34/25.71  | | CLOSE: (39) is inconsistent.
% 169.34/25.71  | | 
% 169.34/25.71  | Case 2:
% 169.34/25.71  | | 
% 169.34/25.71  | |   (40)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 169.34/25.71  | | 
% 169.34/25.71  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 169.34/25.71  | |            (14), (15), (16), (17), (18), (19), (20), (21), (23), (24), (25),
% 169.34/25.71  | |            (26), (28), (29), (30), (31), (32), (33), (34), (35), (36), (40)
% 169.34/25.71  | |            are inconsistent by sub-proof #96.
% 169.34/25.71  | | 
% 169.34/25.71  | End of split
% 169.34/25.71  | 
% 169.34/25.71  End of proof
% 169.34/25.71  
% 169.34/25.71  Sub-proof #38 shows that the following formulas are inconsistent:
% 169.34/25.71  ----------------------------------------------------------------
% 169.34/25.71    (1)  all_56_1 = all_52_4
% 169.34/25.71    (2)  op(all_4_2, e2) = e0
% 169.34/25.71    (3)  all_56_12 = all_52_3
% 169.34/25.71    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 169.34/25.71    (5)   ~ (all_10_2 = e0)
% 169.34/25.71    (6)   ~ (all_52_8 = all_52_12)
% 169.34/25.71    (7)   ~ (e3 = e1)
% 169.34/25.71    (8)  all_58_23 = all_52_7
% 169.34/25.71    (9)   ~ (all_52_2 = all_6_2)
% 169.34/25.71    (10)   ~ (all_52_4 = all_4_2)
% 169.34/25.71    (11)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 169.34/25.71    (12)  op(all_14_1, e0) = all_14_0
% 169.34/25.71    (13)  op(e0, e0) = all_14_1
% 169.34/25.71    (14)  all_54_3 = all_52_12
% 169.34/25.71    (15)  all_56_5 = all_52_9
% 169.34/25.71    (16)   ~ (all_52_3 = all_52_11)
% 169.34/25.71    (17)  op(all_6_2, e3) = all_6_1
% 169.34/25.71    (18)   ~ (all_52_12 = all_6_2)
% 169.34/25.71    (19)  op(e2, e0) = all_52_13
% 169.34/25.71    (20)   ~ (all_52_6 = all_4_2)
% 169.34/25.71    (21)   ~ (all_14_2 = e1)
% 169.34/25.71    (22)  op(e3, all_6_2) = all_58_0
% 169.34/25.71    (23)  op(e1, e0) = all_52_14
% 169.34/25.71    (24)  all_56_15 = all_14_2
% 169.34/25.71    (25)  op(e0, e2) = all_52_7
% 169.34/25.71    (26)  op(e3, all_52_4) = all_58_1
% 169.34/25.71    (27)  all_54_1 = all_52_4
% 169.34/25.71    (28)  op(all_10_2, e1) = all_10_1
% 169.34/25.71    (29)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 169.34/25.71    (30)  op(e1, all_10_2) = all_58_10
% 169.34/25.71    (31)   ~ (all_52_9 = all_4_2)
% 169.34/25.71    (32)  op(e1, e1) = all_10_2
% 169.34/25.71    (33)  all_56_14 = all_52_11
% 169.34/25.71    (34)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 169.34/25.71    (35)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 169.34/25.71    (36)  all_56_8 = all_10_2
% 169.34/25.71    (37)  op(e2, all_52_1) = all_58_4
% 169.34/25.71    (38)  all_58_26 = all_10_2
% 169.34/25.71    (39)   ~ (all_52_4 = all_52_6)
% 169.34/25.71    (40)   ~ (all_52_3 = all_6_2)
% 169.34/25.71    (41)  op(all_6_1, all_6_2) = e0
% 169.34/25.71    (42)   ~ (all_52_1 = all_6_2)
% 169.34/25.71    (43)  all_54_2 = all_52_8
% 169.34/25.71    (44)  all_56_11 = all_52_14
% 169.34/25.71    (45)  all_56_15 = e0
% 169.34/25.71    (46)   ~ (all_52_6 = all_52_7)
% 169.34/25.71    (47)  all_56_0 = all_6_2
% 169.34/25.71    (48)   ~ (all_52_9 = all_10_2)
% 169.34/25.71    (49)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 169.34/25.71    (50)  all_58_27 = all_52_11
% 169.34/25.71    (51)  all_54_14 = all_52_11
% 169.34/25.71    (52)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 169.34/25.71    (53)  all_58_17 = all_52_1
% 169.34/25.71    (54)  op(e2, all_4_2) = all_58_5
% 169.34/25.71    (55)  all_58_19 = all_52_3
% 169.34/25.71    (56)  all_56_9 = all_52_12
% 169.34/25.71    (57)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 169.34/25.71    (58)  op(e2, e2) = all_4_2
% 169.34/25.71    (59)   ~ (e3 = e2)
% 169.34/25.71    (60)  op(e3, all_52_8) = all_58_2
% 169.34/25.71    (61)   ~ (all_52_4 = all_52_7)
% 169.34/25.71    (62)   ~ (e2 = e1)
% 169.34/25.71    (63)   ~ (all_52_6 = all_10_2)
% 169.34/25.71    (64)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 169.34/25.71    (65)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 169.34/25.71    (66)   ~ (all_52_1 = all_4_2)
% 169.34/25.71    (67)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.34/25.71    (68)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 169.34/25.71    (69)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 169.34/25.71    (70)   ~ (all_52_13 = all_52_14)
% 169.34/25.71    (71)  all_58_18 = all_52_2
% 169.34/25.71    (72)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 169.34/25.71    (73)  all_58_16 = all_6_2
% 169.34/25.71    (74)  op(e0, e3) = all_52_3
% 169.34/25.71    (75)   ~ (all_52_12 = e0)
% 169.34/25.71    (76)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 169.34/25.71    (77)   ~ (all_52_8 = all_52_9)
% 169.34/25.71    (78)   ~ (all_52_4 = all_6_2)
% 169.34/25.71    (79)  all_56_2 = all_52_1
% 169.34/25.71    (80)   ~ (all_14_0 = e1)
% 169.34/25.71    (81)   ~ (e3 = e0)
% 169.34/25.71    (82)  op(e3, e0) = all_52_12
% 169.34/25.71    (83)   ~ (all_52_1 = all_52_2)
% 169.34/25.71    (84)   ~ (all_52_13 = e0)
% 169.34/25.71    (85)  op(e0, e0) = all_58_15
% 169.34/25.71    (86)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 169.34/25.71    (87)   ~ (all_52_6 = all_52_14)
% 169.34/25.71    (88)   ~ (all_52_7 = all_4_2)
% 169.34/25.71    (89)   ~ (all_52_8 = all_10_2)
% 169.34/25.71    (90)  all_56_4 = all_52_8
% 169.34/25.71    (91)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.34/25.71    (92)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 169.34/25.71    (93)  op(e1, all_52_2) = all_58_8
% 169.34/25.71    (94)  op(e0, e0) = e0
% 169.34/25.71    (95)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 169.34/25.71    (96)  all_58_20 = all_52_4
% 169.34/25.71    (97)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 169.34/25.71    (98)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 169.34/25.71    (99)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 169.34/25.71    (100)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 169.34/25.71    (101)   ~ (all_52_8 = all_52_11)
% 169.34/25.71    (102)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 169.34/25.71    (103)   ~ (all_52_8 = all_6_2)
% 169.34/25.72    (104)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 169.34/25.72    (105)  all_56_6 = all_52_2
% 169.34/25.72    (106)   ~ (all_52_1 = all_52_9)
% 169.34/25.72    (107)  op(e3, e3) = all_6_2
% 169.34/25.72    (108)  all_58_24 = all_52_8
% 169.34/25.72    (109)   ~ (all_52_12 = all_52_14)
% 169.34/25.72    (110)   ~ (all_52_9 = all_52_11)
% 169.34/25.72    (111)  all_58_22 = all_52_6
% 169.34/25.72    (112)   ~ (all_52_4 = all_52_12)
% 169.34/25.72    (113)  all_56_3 = all_4_2
% 169.34/25.72    (114)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 169.34/25.72    (115)  all_54_0 = all_6_2
% 169.34/25.72    (116)   ~ (all_52_14 = all_10_2)
% 169.34/25.72    (117)   ~ (all_52_11 = e0)
% 169.34/25.72    (118)   ~ (all_52_2 = all_52_3)
% 169.34/25.72    (119)   ~ (all_52_4 = all_52_8)
% 169.34/25.72    (120)  all_58_25 = all_52_9
% 169.34/25.72    (121)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.34/25.72             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.34/25.72    (122)  all_54_12 = all_52_3
% 169.34/25.72    (123)   ~ (all_52_2 = all_52_14)
% 169.34/25.72    (124)  all_58_21 = all_4_2
% 169.34/25.72    (125)  all_56_10 = all_52_13
% 169.34/25.72    (126)  op(e2, all_52_9) = all_58_6
% 169.34/25.72    (127)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 169.34/25.72    (128)   ~ (e2 = e0)
% 169.34/25.72    (129)   ~ (all_52_1 = all_52_3)
% 169.34/25.72    (130)   ~ (all_52_14 = e0)
% 169.34/25.72    (131)  op(e1, all_52_6) = all_58_9
% 169.34/25.72    (132)  all_56_7 = all_52_6
% 169.34/25.72    (133)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 169.34/25.72             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 169.34/25.72             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 169.34/25.72             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 169.34/25.72             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 169.34/25.72             (all_58_15 = e0))
% 169.34/25.72    (134)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 169.34/25.72    (135)   ~ (all_52_2 = all_10_2)
% 169.34/25.72    (136)  all_56_0 = e3 | all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3
% 169.34/25.72    (137)  all_54_11 = all_52_14
% 169.34/25.72    (138)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 169.34/25.72    (139)   ~ (all_52_12 = all_52_13)
% 169.34/25.72  
% 169.34/25.72  Begin of proof
% 169.34/25.72  | 
% 169.34/25.72  | GROUND_INST: instantiating (121) with all_14_1, all_58_15, e0, e0, simplifying
% 169.34/25.72  |              with (13), (85) gives:
% 169.34/25.72  |   (140)  all_58_15 = all_14_1
% 169.34/25.72  | 
% 169.34/25.72  | GROUND_INST: instantiating (121) with e0, all_58_15, e0, e0, simplifying with
% 169.34/25.72  |              (85), (94) gives:
% 169.34/25.72  |   (141)  all_58_15 = e0
% 169.34/25.72  | 
% 169.34/25.72  | COMBINE_EQS: (140), (141) imply:
% 169.34/25.72  |   (142)  all_14_1 = e0
% 169.34/25.72  | 
% 169.34/25.72  | SIMP: (142) implies:
% 169.34/25.72  |   (143)  all_14_1 = e0
% 169.34/25.72  | 
% 169.34/25.72  | REDUCE: (12), (143) imply:
% 169.34/25.72  |   (144)  op(e0, e0) = all_14_0
% 169.34/25.72  | 
% 169.34/25.72  | GROUND_INST: instantiating (121) with e0, all_14_0, e0, e0, simplifying with
% 169.34/25.72  |              (94), (144) gives:
% 169.34/25.72  |   (145)  all_14_0 = e0
% 169.34/25.72  | 
% 169.34/25.72  | REDUCE: (80), (145) imply:
% 169.34/25.72  |   (146)   ~ (e1 = e0)
% 169.34/25.72  | 
% 169.34/25.72  | SIMP: (146) implies:
% 169.34/25.72  |   (147)   ~ (e1 = e0)
% 169.34/25.72  | 
% 169.34/25.72  | BETA: splitting (99) gives:
% 169.34/25.72  | 
% 169.34/25.72  | Case 1:
% 169.34/25.72  | | 
% 169.34/25.72  | |   (148)  all_56_6 = e0
% 169.34/25.72  | | 
% 169.34/25.72  | | COMBINE_EQS: (105), (148) imply:
% 169.34/25.72  | |   (149)  all_52_2 = e0
% 169.34/25.72  | | 
% 169.34/25.72  | | COMBINE_EQS: (71), (149) imply:
% 169.34/25.72  | |   (150)  all_58_18 = e0
% 169.34/25.72  | | 
% 169.34/25.72  | | REDUCE: (83), (149) imply:
% 169.34/25.72  | |   (151)   ~ (all_52_1 = e0)
% 169.34/25.72  | | 
% 169.34/25.72  | | REDUCE: (118), (149) imply:
% 169.34/25.72  | |   (152)   ~ (all_52_3 = e0)
% 169.34/25.72  | | 
% 169.34/25.72  | | SIMP: (152) implies:
% 169.34/25.72  | |   (153)   ~ (all_52_3 = e0)
% 169.34/25.72  | | 
% 169.34/25.72  | | REDUCE: (123), (149) imply:
% 169.34/25.72  | |   (154)   ~ (all_52_14 = e0)
% 169.34/25.72  | | 
% 169.34/25.72  | | REDUCE: (135), (149) imply:
% 169.34/25.72  | |   (155)   ~ (all_10_2 = e0)
% 169.34/25.72  | | 
% 169.34/25.72  | | REDUCE: (9), (149) imply:
% 169.34/25.72  | |   (156)   ~ (all_6_2 = e0)
% 169.34/25.72  | | 
% 169.34/25.72  | | SIMP: (156) implies:
% 169.34/25.72  | |   (157)   ~ (all_6_2 = e0)
% 169.34/25.72  | | 
% 169.34/25.72  | | REDUCE: (93), (149) imply:
% 169.34/25.72  | |   (158)  op(e1, e0) = all_58_8
% 169.34/25.72  | | 
% 169.34/25.72  | | REF_CLOSE: (1), (2), (4), (5), (6), (8), (11), (15), (18), (19), (21), (23),
% 169.34/25.72  | |            (24), (25), (26), (31), (33), (34), (36), (38), (42), (43), (44),
% 169.34/25.72  | |            (47), (49), (50), (52), (53), (54), (55), (56), (58), (59), (61),
% 169.34/25.72  | |            (62), (63), (65), (66), (69), (70), (73), (75), (76), (77), (78),
% 169.34/25.72  | |            (79), (81), (82), (84), (87), (88), (89), (90), (91), (96), (98),
% 169.34/25.72  | |            (100), (103), (104), (106), (108), (109), (110), (111), (112),
% 169.34/25.72  | |            (113), (115), (117), (120), (121), (124), (125), (126), (128),
% 169.34/25.72  | |            (130), (133), (136), (137), (141), (147), (150), (151), (153),
% 169.34/25.72  | |            (157), (158) are inconsistent by sub-proof #121.
% 169.34/25.72  | | 
% 169.34/25.72  | Case 2:
% 169.34/25.72  | | 
% 169.34/25.72  | |   (159)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 169.34/25.72  | | 
% 169.34/25.72  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (14),
% 169.34/25.72  | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), (27),
% 169.34/25.72  | |            (28), (29), (30), (31), (32), (33), (34), (35), (36), (37), (38),
% 169.34/25.72  | |            (39), (40), (41), (42), (44), (45), (46), (47), (48), (49), (50),
% 169.34/25.72  | |            (51), (52), (53), (54), (55), (56), (57), (58), (59), (60), (62),
% 169.34/25.72  | |            (63), (64), (66), (67), (68), (69), (71), (72), (73), (74), (75),
% 169.34/25.72  | |            (76), (77), (78), (79), (81), (82), (83), (84), (86), (87), (90),
% 169.34/25.72  | |            (91), (92), (95), (96), (97), (100), (101), (102), (103), (104),
% 169.34/25.72  | |            (105), (106), (107), (108), (109), (110), (111), (112), (113),
% 169.34/25.72  | |            (114), (115), (116), (117), (118), (119), (120), (121), (122),
% 169.34/25.72  | |            (123), (124), (125), (127), (128), (129), (130), (131), (132),
% 169.34/25.72  | |            (133), (134), (135), (137), (138), (139), (141), (147), (159) are
% 169.34/25.72  | |            inconsistent by sub-proof #39.
% 169.34/25.72  | | 
% 169.34/25.72  | End of split
% 169.34/25.72  | 
% 169.34/25.72  End of proof
% 169.34/25.72  
% 169.34/25.72  Sub-proof #39 shows that the following formulas are inconsistent:
% 169.34/25.72  ----------------------------------------------------------------
% 169.34/25.72    (1)  all_56_1 = all_52_4
% 169.34/25.72    (2)  op(all_4_2, e2) = e0
% 169.34/25.72    (3)  all_56_12 = all_52_3
% 169.34/25.72    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 169.34/25.72    (5)   ~ (all_10_2 = e0)
% 169.34/25.72    (6)   ~ (all_52_8 = all_52_12)
% 169.34/25.72    (7)   ~ (e3 = e1)
% 169.34/25.72    (8)  all_58_23 = all_52_7
% 169.34/25.72    (9)   ~ (all_52_2 = all_6_2)
% 169.34/25.72    (10)   ~ (all_52_4 = all_4_2)
% 169.34/25.72    (11)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 169.34/25.72    (12)  all_54_3 = all_52_12
% 169.34/25.72    (13)  all_56_5 = all_52_9
% 169.34/25.72    (14)   ~ (all_52_3 = all_52_11)
% 169.34/25.72    (15)  op(all_6_2, e3) = all_6_1
% 169.34/25.72    (16)   ~ (all_52_12 = all_6_2)
% 169.34/25.72    (17)  op(e2, e0) = all_52_13
% 169.34/25.72    (18)   ~ (all_52_6 = all_4_2)
% 169.34/25.72    (19)   ~ (all_14_2 = e1)
% 169.34/25.72    (20)  op(e3, all_6_2) = all_58_0
% 169.34/25.72    (21)  op(e1, e0) = all_52_14
% 169.34/25.72    (22)  all_56_15 = all_14_2
% 169.34/25.72    (23)  all_54_1 = all_52_4
% 169.34/25.72    (24)  op(all_10_2, e1) = all_10_1
% 169.34/25.72    (25)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 169.34/25.72    (26)  op(e1, all_10_2) = all_58_10
% 169.34/25.72    (27)   ~ (all_52_9 = all_4_2)
% 169.34/25.72    (28)  op(e1, e1) = all_10_2
% 169.34/25.72    (29)  all_56_14 = all_52_11
% 169.34/25.72    (30)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 169.34/25.72    (31)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 169.34/25.72    (32)  all_56_8 = all_10_2
% 169.34/25.72    (33)  op(e2, all_52_1) = all_58_4
% 169.34/25.72    (34)  all_58_26 = all_10_2
% 169.34/25.72    (35)   ~ (all_52_4 = all_52_6)
% 169.34/25.72    (36)   ~ (all_52_3 = all_6_2)
% 169.34/25.72    (37)  op(all_6_1, all_6_2) = e0
% 169.34/25.72    (38)   ~ (all_52_1 = all_6_2)
% 169.34/25.72    (39)  all_56_11 = all_52_14
% 169.34/25.72    (40)  all_56_15 = e0
% 169.34/25.72    (41)   ~ (all_52_6 = all_52_7)
% 169.34/25.72    (42)  all_56_0 = all_6_2
% 169.34/25.72    (43)   ~ (all_52_9 = all_10_2)
% 169.34/25.72    (44)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 169.34/25.72    (45)  all_58_27 = all_52_11
% 169.34/25.72    (46)  all_54_14 = all_52_11
% 169.34/25.72    (47)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 169.34/25.72    (48)  all_58_17 = all_52_1
% 169.34/25.72    (49)  op(e2, all_4_2) = all_58_5
% 169.34/25.72    (50)  all_58_19 = all_52_3
% 169.34/25.72    (51)  all_56_9 = all_52_12
% 169.34/25.72    (52)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 169.34/25.72    (53)  op(e2, e2) = all_4_2
% 169.34/25.72    (54)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 169.34/25.72    (55)   ~ (e3 = e2)
% 169.34/25.72    (56)  op(e3, all_52_8) = all_58_2
% 169.34/25.72    (57)   ~ (e2 = e1)
% 169.34/25.72    (58)   ~ (all_52_6 = all_10_2)
% 169.34/25.72    (59)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 169.34/25.72    (60)   ~ (all_52_1 = all_4_2)
% 169.34/25.72    (61)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.34/25.72    (62)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 169.34/25.72    (63)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 169.34/25.72    (64)  all_58_18 = all_52_2
% 169.34/25.72    (65)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 169.34/25.72    (66)  all_58_16 = all_6_2
% 169.34/25.72    (67)  op(e0, e3) = all_52_3
% 169.34/25.72    (68)   ~ (all_52_12 = e0)
% 169.34/25.72    (69)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 169.34/25.72    (70)   ~ (all_52_8 = all_52_9)
% 169.34/25.72    (71)   ~ (all_52_4 = all_6_2)
% 169.34/25.72    (72)  all_56_2 = all_52_1
% 169.34/25.72    (73)   ~ (e3 = e0)
% 169.34/25.72    (74)  op(e3, e0) = all_52_12
% 169.34/25.72    (75)   ~ (all_52_1 = all_52_2)
% 169.34/25.72    (76)   ~ (all_52_13 = e0)
% 169.34/25.72    (77)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 169.34/25.72    (78)   ~ (all_52_6 = all_52_14)
% 169.34/25.72    (79)  all_56_4 = all_52_8
% 169.34/25.72    (80)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.34/25.72    (81)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 169.34/25.72    (82)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 169.34/25.72    (83)  all_58_20 = all_52_4
% 169.34/25.72    (84)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 169.34/25.72    (85)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 169.34/25.72    (86)   ~ (all_52_8 = all_52_11)
% 169.34/25.72    (87)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 169.34/25.72    (88)   ~ (all_52_8 = all_6_2)
% 169.34/25.72    (89)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 169.34/25.72    (90)  all_56_6 = all_52_2
% 169.34/25.72    (91)   ~ (all_52_1 = all_52_9)
% 169.34/25.72    (92)  op(e3, e3) = all_6_2
% 169.34/25.72    (93)  all_58_24 = all_52_8
% 169.34/25.72    (94)   ~ (all_52_12 = all_52_14)
% 169.34/25.72    (95)   ~ (all_52_9 = all_52_11)
% 169.34/25.72    (96)  all_58_22 = all_52_6
% 169.34/25.72    (97)   ~ (all_52_4 = all_52_12)
% 169.34/25.72    (98)  all_56_3 = all_4_2
% 169.34/25.72    (99)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 169.34/25.72    (100)  all_54_0 = all_6_2
% 169.34/25.72    (101)   ~ (all_52_14 = all_10_2)
% 169.34/25.72    (102)   ~ (all_52_11 = e0)
% 169.34/25.72    (103)   ~ (all_52_2 = all_52_3)
% 169.34/25.72    (104)   ~ (all_52_4 = all_52_8)
% 169.34/25.72    (105)  all_58_25 = all_52_9
% 169.34/25.72    (106)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.34/25.72             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.34/25.72    (107)  all_58_15 = e0
% 169.34/25.72    (108)  all_54_12 = all_52_3
% 169.34/25.72    (109)   ~ (all_52_2 = all_52_14)
% 169.34/25.72    (110)  all_58_21 = all_4_2
% 169.34/25.72    (111)  all_56_10 = all_52_13
% 169.34/25.72    (112)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 169.34/25.72    (113)   ~ (e2 = e0)
% 169.34/25.72    (114)   ~ (all_52_1 = all_52_3)
% 169.34/25.72    (115)   ~ (all_52_14 = e0)
% 169.34/25.72    (116)  op(e1, all_52_6) = all_58_9
% 169.34/25.72    (117)   ~ (e1 = e0)
% 169.34/25.72    (118)  all_56_7 = all_52_6
% 169.34/25.72    (119)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 169.34/25.72             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 169.34/25.72             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 169.34/25.72             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 169.34/25.72             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 169.34/25.72             (all_58_15 = e0))
% 169.34/25.72    (120)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 169.34/25.72    (121)   ~ (all_52_2 = all_10_2)
% 169.34/25.72    (122)  all_54_11 = all_52_14
% 169.34/25.72    (123)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 169.34/25.72    (124)   ~ (all_52_12 = all_52_13)
% 169.34/25.72  
% 169.34/25.72  Begin of proof
% 169.34/25.72  | 
% 169.34/25.72  | BETA: splitting (54) gives:
% 169.34/25.72  | 
% 169.34/25.72  | Case 1:
% 169.34/25.72  | | 
% 169.34/25.72  | |   (125)  all_56_7 = e0
% 169.34/25.72  | | 
% 169.34/25.72  | | COMBINE_EQS: (118), (125) imply:
% 169.34/25.72  | |   (126)  all_52_6 = e0
% 169.34/25.72  | | 
% 169.34/25.72  | | COMBINE_EQS: (96), (126) imply:
% 169.34/25.72  | |   (127)  all_58_22 = e0
% 169.34/25.72  | | 
% 169.34/25.72  | | REDUCE: (35), (126) imply:
% 169.34/25.72  | |   (128)   ~ (all_52_4 = e0)
% 169.34/25.72  | | 
% 169.34/25.72  | | REDUCE: (41), (126) imply:
% 169.34/25.72  | |   (129)   ~ (all_52_7 = e0)
% 169.34/25.72  | | 
% 169.34/25.72  | | SIMP: (129) implies:
% 169.34/25.72  | |   (130)   ~ (all_52_7 = e0)
% 169.34/25.72  | | 
% 169.34/25.72  | | REDUCE: (78), (126) imply:
% 169.34/25.72  | |   (131)   ~ (all_52_14 = e0)
% 169.34/25.72  | | 
% 169.34/25.72  | | REDUCE: (58), (126) imply:
% 169.34/25.72  | |   (132)   ~ (all_10_2 = e0)
% 169.34/25.72  | | 
% 169.34/25.72  | | REDUCE: (18), (126) imply:
% 169.34/25.72  | |   (133)   ~ (all_4_2 = e0)
% 169.34/25.72  | | 
% 169.34/25.72  | | SIMP: (133) implies:
% 169.34/25.72  | |   (134)   ~ (all_4_2 = e0)
% 169.34/25.72  | | 
% 169.34/25.72  | | REDUCE: (116), (126) imply:
% 169.34/25.72  | |   (135)  op(e1, e0) = all_58_9
% 169.34/25.72  | | 
% 169.34/25.72  | | GROUND_INST: instantiating (106) with all_52_14, all_58_9, e0, e1,
% 169.34/25.72  | |              simplifying with (21), (135) gives:
% 169.34/25.72  | |   (136)  all_58_9 = all_52_14
% 169.34/25.72  | | 
% 169.34/25.72  | | BETA: splitting (84) gives:
% 169.34/25.72  | | 
% 169.34/25.72  | | Case 1:
% 169.34/25.72  | | | 
% 169.34/25.72  | | |   (137)  all_56_0 = e0
% 169.34/25.72  | | | 
% 169.34/25.72  | | | COMBINE_EQS: (42), (137) imply:
% 169.34/25.72  | | |   (138)  all_6_2 = e0
% 169.34/25.72  | | | 
% 169.34/25.72  | | | SIMP: (138) implies:
% 169.34/25.72  | | |   (139)  all_6_2 = e0
% 169.34/25.72  | | | 
% 169.34/25.72  | | | COMBINE_EQS: (66), (139) imply:
% 169.34/25.72  | | |   (140)  all_58_16 = e0
% 169.34/25.72  | | | 
% 169.34/25.72  | | | REDUCE: (36), (139) imply:
% 169.34/25.72  | | |   (141)   ~ (all_52_3 = e0)
% 169.34/25.72  | | | 
% 169.34/25.72  | | | REDUCE: (88), (139) imply:
% 169.34/25.72  | | |   (142)   ~ (all_52_8 = e0)
% 169.34/25.72  | | | 
% 169.34/25.72  | | | REDUCE: (37), (139) imply:
% 169.34/25.72  | | |   (143)  op(all_6_1, e0) = e0
% 169.34/25.72  | | | 
% 169.34/25.72  | | | REDUCE: (15), (139) imply:
% 169.34/25.72  | | |   (144)  op(e0, e3) = all_6_1
% 169.34/25.72  | | | 
% 169.34/25.72  | | | BETA: splitting (69) gives:
% 169.34/25.72  | | | 
% 169.34/25.72  | | | Case 1:
% 169.34/25.72  | | | | 
% 169.34/25.72  | | | |   (145)  all_56_4 = e0
% 169.34/25.72  | | | | 
% 169.34/25.72  | | | | COMBINE_EQS: (79), (145) imply:
% 169.34/25.72  | | | |   (146)  all_52_8 = e0
% 169.34/25.72  | | | | 
% 169.34/25.72  | | | | REDUCE: (142), (146) imply:
% 169.34/25.72  | | | |   (147)  $false
% 169.34/25.72  | | | | 
% 169.34/25.72  | | | | CLOSE: (147) is inconsistent.
% 169.34/25.72  | | | | 
% 169.34/25.72  | | | Case 2:
% 169.34/25.72  | | | | 
% 169.34/25.72  | | | |   (148)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 169.34/25.72  | | | | 
% 169.34/25.72  | | | | BETA: splitting (148) gives:
% 169.34/25.72  | | | | 
% 169.34/25.72  | | | | Case 1:
% 169.34/25.72  | | | | | 
% 169.34/25.72  | | | | |   (149)  all_56_5 = e0
% 169.34/25.72  | | | | | 
% 169.34/25.72  | | | | | COMBINE_EQS: (13), (149) imply:
% 169.34/25.72  | | | | |   (150)  all_52_9 = e0
% 169.34/25.72  | | | | | 
% 169.34/25.72  | | | | | COMBINE_EQS: (105), (150) imply:
% 169.34/25.72  | | | | |   (151)  all_58_25 = e0
% 169.34/25.72  | | | | | 
% 169.34/25.72  | | | | | REDUCE: (91), (150) imply:
% 169.34/25.72  | | | | |   (152)   ~ (all_52_1 = e0)
% 169.34/25.72  | | | | | 
% 169.34/25.72  | | | | | REDUCE: (95), (150) imply:
% 169.34/25.72  | | | | |   (153)   ~ (all_52_11 = e0)
% 169.34/25.72  | | | | | 
% 169.34/25.72  | | | | | GROUND_INST: instantiating (106) with all_52_3, all_6_1, e3, e0,
% 169.34/25.72  | | | | |              simplifying with (67), (144) gives:
% 169.34/25.72  | | | | |   (154)  all_52_3 = all_6_1
% 169.34/25.72  | | | | | 
% 169.34/25.72  | | | | | COMBINE_EQS: (3), (154) imply:
% 169.34/25.72  | | | | |   (155)  all_56_12 = all_6_1
% 169.34/25.72  | | | | | 
% 169.34/25.72  | | | | | COMBINE_EQS: (50), (154) imply:
% 169.34/25.72  | | | | |   (156)  all_58_19 = all_6_1
% 169.34/25.72  | | | | | 
% 169.34/25.72  | | | | | REDUCE: (114), (154) imply:
% 169.34/25.72  | | | | |   (157)   ~ (all_52_1 = all_6_1)
% 169.34/25.72  | | | | | 
% 169.34/25.72  | | | | | REDUCE: (103), (154) imply:
% 169.34/25.72  | | | | |   (158)   ~ (all_52_2 = all_6_1)
% 169.34/25.72  | | | | | 
% 169.34/25.72  | | | | | REDUCE: (141), (154) imply:
% 169.34/25.72  | | | | |   (159)   ~ (all_6_1 = e0)
% 169.34/25.72  | | | | | 
% 169.34/25.72  | | | | | BETA: splitting (62) gives:
% 169.34/25.72  | | | | | 
% 169.34/25.72  | | | | | Case 1:
% 169.34/25.72  | | | | | | 
% 169.34/25.72  | | | | | |   (160)  all_54_1 = e0
% 169.34/25.72  | | | | | | 
% 169.34/25.72  | | | | | | REF_CLOSE: (23), (128), (160) are inconsistent by sub-proof #866.
% 169.34/25.72  | | | | | | 
% 169.34/25.72  | | | | | Case 2:
% 169.34/25.72  | | | | | | 
% 169.34/25.72  | | | | | |   (161)   ~ (all_54_1 = e0)
% 169.34/25.72  | | | | | |   (162)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 169.34/25.72  | | | | | | 
% 169.34/25.72  | | | | | | BETA: splitting (25) gives:
% 169.34/25.72  | | | | | | 
% 169.34/25.72  | | | | | | Case 1:
% 169.34/25.72  | | | | | | | 
% 169.34/25.72  | | | | | | |   (163)  all_54_3 = e0
% 169.34/25.72  | | | | | | | 
% 169.34/25.72  | | | | | | | COMBINE_EQS: (12), (163) imply:
% 169.34/25.72  | | | | | | |   (164)  all_52_12 = e0
% 169.34/25.72  | | | | | | | 
% 169.34/25.72  | | | | | | | REDUCE: (68), (164) imply:
% 169.34/25.72  | | | | | | |   (165)  $false
% 169.34/25.72  | | | | | | | 
% 169.34/25.72  | | | | | | | CLOSE: (165) is inconsistent.
% 169.34/25.72  | | | | | | | 
% 169.34/25.72  | | | | | | Case 2:
% 169.34/25.72  | | | | | | | 
% 169.34/25.72  | | | | | | |   (166)   ~ (all_54_3 = e0)
% 169.34/25.72  | | | | | | |   (167)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 169.34/25.72  | | | | | | | 
% 169.34/25.72  | | | | | | | BETA: splitting (85) gives:
% 169.34/25.72  | | | | | | | 
% 169.34/25.72  | | | | | | | Case 1:
% 169.34/25.72  | | | | | | | | 
% 169.34/25.72  | | | | | | | |   (168)  all_58_23 = e0
% 169.34/25.72  | | | | | | | | 
% 169.34/25.72  | | | | | | | | COMBINE_EQS: (8), (168) imply:
% 169.34/25.72  | | | | | | | |   (169)  all_52_7 = e0
% 169.34/25.72  | | | | | | | | 
% 169.34/25.72  | | | | | | | | REDUCE: (130), (169) imply:
% 169.34/25.72  | | | | | | | |   (170)  $false
% 169.34/25.72  | | | | | | | | 
% 169.34/25.72  | | | | | | | | CLOSE: (170) is inconsistent.
% 169.34/25.72  | | | | | | | | 
% 169.34/25.72  | | | | | | | Case 2:
% 169.34/25.72  | | | | | | | | 
% 169.34/25.72  | | | | | | | |   (171)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 169.34/25.72  | | | | | | | | 
% 169.34/25.72  | | | | | | | | BETA: splitting (44) gives:
% 169.34/25.72  | | | | | | | | 
% 169.34/25.72  | | | | | | | | Case 1:
% 169.34/25.72  | | | | | | | | | 
% 169.34/25.72  | | | | | | | | |   (172)  all_58_27 = e0
% 169.34/25.72  | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | REF_CLOSE: (45), (102), (172) are inconsistent by sub-proof
% 169.34/25.72  | | | | | | | | |            #663.
% 169.34/25.72  | | | | | | | | | 
% 169.34/25.72  | | | | | | | | Case 2:
% 169.34/25.72  | | | | | | | | | 
% 169.34/25.72  | | | | | | | | |   (173)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 169.34/25.72  | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | BETA: splitting (11) gives:
% 169.34/25.72  | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | Case 1:
% 169.34/25.72  | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | |   (174)  all_58_19 = e0
% 169.34/25.72  | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | COMBINE_EQS: (156), (174) imply:
% 169.34/25.72  | | | | | | | | | |   (175)  all_6_1 = e0
% 169.34/25.72  | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | REDUCE: (159), (175) imply:
% 169.34/25.72  | | | | | | | | | |   (176)  $false
% 169.34/25.72  | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | CLOSE: (176) is inconsistent.
% 169.34/25.72  | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | Case 2:
% 169.34/25.72  | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | |   (177)   ~ (all_58_19 = e0)
% 169.34/25.72  | | | | | | | | | |   (178)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 169.34/25.72  | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | BETA: splitting (120) gives:
% 169.34/25.72  | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | Case 1:
% 169.34/25.72  | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | |   (179)  all_56_12 = e1
% 169.34/25.72  | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | COMBINE_EQS: (155), (179) imply:
% 169.34/25.72  | | | | | | | | | | |   (180)  all_6_1 = e1
% 169.34/25.72  | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | SIMP: (180) implies:
% 169.34/25.72  | | | | | | | | | | |   (181)  all_6_1 = e1
% 169.34/25.72  | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | REDUCE: (157), (181) imply:
% 169.34/25.72  | | | | | | | | | | |   (182)   ~ (all_52_1 = e1)
% 169.34/25.72  | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | REDUCE: (158), (181) imply:
% 169.34/25.72  | | | | | | | | | | |   (183)   ~ (all_52_2 = e1)
% 169.34/25.72  | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | REDUCE: (143), (181) imply:
% 169.34/25.72  | | | | | | | | | | |   (184)  op(e1, e0) = e0
% 169.34/25.72  | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | BETA: splitting (178) gives:
% 169.34/25.72  | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | Case 1:
% 169.34/25.72  | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | |   (185)  all_58_18 = e1
% 169.34/25.72  | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | REF_CLOSE: (64), (183), (185) are inconsistent by sub-proof
% 169.34/25.72  | | | | | | | | | | | |            #924.
% 169.34/25.72  | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | Case 2:
% 169.34/25.72  | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | |   (186)  all_58_16 = e3 | all_58_17 = e2
% 169.34/25.72  | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | BETA: splitting (186) gives:
% 169.34/25.72  | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | Case 1:
% 169.34/25.72  | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | |   (187)  all_58_17 = e2
% 169.34/25.72  | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | COMBINE_EQS: (48), (187) imply:
% 169.34/25.72  | | | | | | | | | | | | |   (188)  all_52_1 = e2
% 169.34/25.72  | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | COMBINE_EQS: (72), (188) imply:
% 169.34/25.72  | | | | | | | | | | | | |   (189)  all_56_2 = e2
% 169.34/25.72  | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | REDUCE: (75), (188) imply:
% 169.34/25.72  | | | | | | | | | | | | |   (190)   ~ (all_52_2 = e2)
% 169.34/25.72  | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | SIMP: (190) implies:
% 169.34/25.72  | | | | | | | | | | | | |   (191)   ~ (all_52_2 = e2)
% 169.34/25.72  | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | REDUCE: (60), (188) imply:
% 169.34/25.72  | | | | | | | | | | | | |   (192)   ~ (all_4_2 = e2)
% 169.34/25.72  | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | SIMP: (192) implies:
% 169.34/25.72  | | | | | | | | | | | | |   (193)   ~ (all_4_2 = e2)
% 169.34/25.72  | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | BETA: splitting (31) gives:
% 169.34/25.72  | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | Case 1:
% 169.34/25.72  | | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | |   (194)  all_56_0 = e3
% 169.34/25.72  | | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | | COMBINE_EQS: (137), (194) imply:
% 169.34/25.72  | | | | | | | | | | | | | |   (195)  e3 = e0
% 169.34/25.72  | | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | | REDUCE: (73), (195) imply:
% 169.34/25.72  | | | | | | | | | | | | | |   (196)  $false
% 169.34/25.72  | | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | | CLOSE: (196) is inconsistent.
% 169.34/25.72  | | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | Case 2:
% 169.34/25.72  | | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | |   (197)  all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 169.34/25.72  | | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 169.34/25.72  | | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | | Case 1:
% 169.34/25.72  | | | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | | |   (198)  all_56_2 = e3
% 169.34/25.72  | | | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | | | REF_CLOSE: (55), (189), (198) are inconsistent by sub-proof
% 169.34/25.72  | | | | | | | | | | | | | | |            #960.
% 169.34/25.72  | | | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | | Case 2:
% 169.34/25.72  | | | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | | |   (199)  all_56_6 = e3 | all_56_12 = e3
% 169.34/25.72  | | | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 169.34/25.72  | | | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | | | Case 1:
% 169.34/25.72  | | | | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | | | |   (200)  all_56_6 = e3
% 169.34/25.72  | | | | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | | | | COMBINE_EQS: (90), (200) imply:
% 169.34/25.72  | | | | | | | | | | | | | | | |   (201)  all_52_2 = e3
% 169.34/25.72  | | | | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 169.34/25.72  | | | | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | | | | Case 1:
% 169.34/25.72  | | | | | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | | | | |   (202)  all_58_22 = e1
% 169.34/25.72  | | | | | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (127), (202) are inconsistent by sub-proof
% 169.34/25.72  | | | | | | | | | | | | | | | | |            #923.
% 169.34/25.72  | | | | | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | | | | Case 2:
% 169.34/25.72  | | | | | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | | | | |   (203)  all_58_20 = e3 | all_58_21 = e2
% 169.34/25.72  | | | | | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 169.34/25.72  | | | | | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | | | | | Case 1:
% 169.34/25.72  | | | | | | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | | | | | |   (204)  all_58_21 = e2
% 169.34/25.72  | | | | | | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (110), (204) imply:
% 169.34/25.72  | | | | | | | | | | | | | | | | | |   (205)  all_4_2 = e2
% 169.34/25.72  | | | | | | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | | | | | | REDUCE: (193), (205) imply:
% 169.34/25.72  | | | | | | | | | | | | | | | | | |   (206)  $false
% 169.34/25.72  | | | | | | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | | | | | | CLOSE: (206) is inconsistent.
% 169.34/25.72  | | | | | | | | | | | | | | | | | | 
% 169.34/25.72  | | | | | | | | | | | | | | | | | Case 2:
% 169.34/25.72  | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | |   (207)  all_58_20 = e3
% 169.34/25.73  | | | | | | | | | | | | | | | | | |   (208)   ~ (all_58_21 = e2)
% 169.34/25.73  | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (83), (207) imply:
% 169.34/25.73  | | | | | | | | | | | | | | | | | |   (209)  all_52_4 = e3
% 169.34/25.73  | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | REDUCE: (104), (209) imply:
% 169.34/25.73  | | | | | | | | | | | | | | | | | |   (210)   ~ (all_52_8 = e3)
% 169.34/25.73  | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | SIMP: (210) implies:
% 169.34/25.73  | | | | | | | | | | | | | | | | | |   (211)   ~ (all_52_8 = e3)
% 169.34/25.73  | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | BETA: splitting (173) gives:
% 169.34/25.73  | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | Case 1:
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | |   (212)  all_58_26 = e1
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (34), (212) imply:
% 169.34/25.73  | | | | | | | | | | | | | | | | | | |   (213)  all_10_2 = e1
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (32), (213) imply:
% 169.34/25.73  | | | | | | | | | | | | | | | | | | |   (214)  all_56_8 = e1
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | REDUCE: (101), (213) imply:
% 169.34/25.73  | | | | | | | | | | | | | | | | | | |   (215)   ~ (all_52_14 = e1)
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | BETA: splitting (77) gives:
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | Case 1:
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | |   (216)  all_56_6 = e2
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (200), (216) imply:
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | |   (217)  e3 = e2
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (207), (217) imply:
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | |   (218)  all_58_20 = e2
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (55), (110), (193), (203), (218) are inconsistent
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | |            by sub-proof #212.
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | Case 2:
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | |   (219)  all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | |   (220)  all_56_7 = e2
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (125), (220) are inconsistent by sub-proof
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | |            #636.
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | |   (221)  all_56_8 = e2 | all_56_11 = e2
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | |   (222)  all_56_8 = e2
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (214), (222) imply:
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | |   (223)  e2 = e1
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (57), (73), (140), (186), (187), (223) are
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #634.
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | |   (224)  all_56_11 = e2
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (39), (224) imply:
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | |   (225)  all_52_14 = e2
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (225) imply:
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | |   (226)  op(e1, e0) = e2
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (106) with e0, e2, e0, e1,
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | |              simplifying with (184), (226) gives:
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | |   (227)  e2 = e0
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (224), (227) imply:
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | |   (228)  all_56_11 = e0
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (57), (113), (214), (221), (228) are inconsistent
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #759.
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | End of split
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | End of split
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | End of split
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | Case 2:
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | |   (229)  all_58_24 = e3 | all_58_25 = e2
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (93), (113), (151), (211), (229) are inconsistent
% 169.34/25.73  | | | | | | | | | | | | | | | | | | |            by sub-proof #849.
% 169.34/25.73  | | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | | End of split
% 169.34/25.73  | | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | | End of split
% 169.34/25.73  | | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | End of split
% 169.34/25.73  | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | Case 2:
% 169.34/25.73  | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | |   (230)  all_56_12 = e3
% 169.34/25.73  | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | COMBINE_EQS: (179), (230) imply:
% 169.34/25.73  | | | | | | | | | | | | | | | |   (231)  e3 = e1
% 169.34/25.73  | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | REDUCE: (7), (231) imply:
% 169.34/25.73  | | | | | | | | | | | | | | | |   (232)  $false
% 169.34/25.73  | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | | CLOSE: (232) is inconsistent.
% 169.34/25.73  | | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | | End of split
% 169.34/25.73  | | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | | End of split
% 169.34/25.73  | | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | End of split
% 169.34/25.73  | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | Case 2:
% 169.34/25.73  | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | |   (233)  all_58_16 = e3
% 169.34/25.73  | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | | REF_CLOSE: (73), (140), (233) are inconsistent by sub-proof
% 169.34/25.73  | | | | | | | | | | | | |            #633.
% 169.34/25.73  | | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | End of split
% 169.34/25.73  | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | End of split
% 169.34/25.73  | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | Case 2:
% 169.34/25.73  | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | |   (234)   ~ (all_56_12 = e1)
% 169.34/25.73  | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | REDUCE: (155), (234) imply:
% 169.34/25.73  | | | | | | | | | | |   (235)   ~ (all_6_1 = e1)
% 169.34/25.73  | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | BETA: splitting (61) gives:
% 169.34/25.73  | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | Case 1:
% 169.34/25.73  | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | |   (236)  all_56_0 = e1
% 169.34/25.73  | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | COMBINE_EQS: (137), (236) imply:
% 169.34/25.73  | | | | | | | | | | | |   (237)  e1 = e0
% 169.34/25.73  | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | REDUCE: (117), (237) imply:
% 169.34/25.73  | | | | | | | | | | | |   (238)  $false
% 169.34/25.73  | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | CLOSE: (238) is inconsistent.
% 169.34/25.73  | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | Case 2:
% 169.34/25.73  | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | |   (239)   ~ (all_56_0 = e1)
% 169.34/25.73  | | | | | | | | | | | |   (240)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.34/25.73  | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | REDUCE: (137), (239) imply:
% 169.34/25.73  | | | | | | | | | | | |   (241)   ~ (e1 = e0)
% 169.34/25.73  | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | | REF_CLOSE: (1), (2), (5), (6), (10), (11), (12), (19), (22),
% 169.34/25.73  | | | | | | | | | | | |            (23), (32), (34), (39), (40), (47), (48), (49),
% 169.34/25.73  | | | | | | | | | | | |            (51), (53), (55), (57), (59), (60), (63), (64),
% 169.34/25.73  | | | | | | | | | | | |            (68), (72), (73), (75), (77), (83), (90), (93),
% 169.34/25.73  | | | | | | | | | | | |            (94), (97), (99), (104), (106), (109), (110),
% 169.34/25.73  | | | | | | | | | | | |            (111), (112), (113), (117), (121), (125), (127),
% 169.34/25.73  | | | | | | | | | | | |            (128), (134), (137), (140), (142), (151), (155),
% 169.34/25.73  | | | | | | | | | | | |            (156), (159), (162), (167), (171), (173), (178),
% 169.34/25.73  | | | | | | | | | | | |            (235), (240) are inconsistent by sub-proof #82.
% 169.34/25.73  | | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | | End of split
% 169.34/25.73  | | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | | End of split
% 169.34/25.73  | | | | | | | | | | 
% 169.34/25.73  | | | | | | | | | End of split
% 169.34/25.73  | | | | | | | | | 
% 169.34/25.73  | | | | | | | | End of split
% 169.34/25.73  | | | | | | | | 
% 169.34/25.73  | | | | | | | End of split
% 169.34/25.73  | | | | | | | 
% 169.34/25.73  | | | | | | End of split
% 169.34/25.73  | | | | | | 
% 169.34/25.73  | | | | | End of split
% 169.34/25.73  | | | | | 
% 169.34/25.73  | | | | Case 2:
% 169.34/25.73  | | | | | 
% 169.34/25.73  | | | | |   (242)  all_56_8 = e0 | all_56_14 = e0
% 169.34/25.73  | | | | | 
% 169.34/25.73  | | | | | REF_CLOSE: (5), (29), (32), (102), (242) are inconsistent by sub-proof
% 169.34/25.73  | | | | |            #914.
% 169.34/25.73  | | | | | 
% 169.34/25.73  | | | | End of split
% 169.34/25.73  | | | | 
% 169.34/25.73  | | | End of split
% 169.34/25.73  | | | 
% 169.34/25.73  | | Case 2:
% 169.34/25.73  | | | 
% 169.34/25.73  | | |   (243)   ~ (all_56_0 = e0)
% 169.34/25.73  | | | 
% 169.34/25.73  | | | REDUCE: (42), (243) imply:
% 169.34/25.73  | | |   (244)   ~ (all_6_2 = e0)
% 169.34/25.73  | | | 
% 169.34/25.73  | | | BETA: splitting (89) gives:
% 169.34/25.73  | | | 
% 169.34/25.73  | | | Case 1:
% 169.34/25.73  | | | | 
% 169.34/25.73  | | | |   (245)  all_56_0 = e0
% 169.34/25.73  | | | | 
% 169.34/25.73  | | | | REF_CLOSE: (42), (244), (245) are inconsistent by sub-proof #939.
% 169.34/25.73  | | | | 
% 169.34/25.73  | | | Case 2:
% 169.34/25.73  | | | | 
% 169.34/25.73  | | | |   (246)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 169.34/25.73  | | | | 
% 169.34/25.73  | | | | BETA: splitting (246) gives:
% 169.34/25.73  | | | | 
% 169.34/25.73  | | | | Case 1:
% 169.34/25.73  | | | | | 
% 169.34/25.73  | | | | |   (247)  all_56_1 = e0
% 169.34/25.73  | | | | | 
% 169.34/25.73  | | | | | COMBINE_EQS: (1), (247) imply:
% 169.34/25.73  | | | | |   (248)  all_52_4 = e0
% 169.34/25.73  | | | | | 
% 169.34/25.73  | | | | | REDUCE: (128), (248) imply:
% 169.34/25.73  | | | | |   (249)  $false
% 169.34/25.73  | | | | | 
% 169.34/25.73  | | | | | CLOSE: (249) is inconsistent.
% 169.34/25.73  | | | | | 
% 169.34/25.73  | | | | Case 2:
% 169.34/25.73  | | | | | 
% 169.34/25.73  | | | | |   (250)  all_56_4 = e0 | all_56_9 = e0
% 169.34/25.73  | | | | | 
% 169.34/25.73  | | | | | BETA: splitting (250) gives:
% 169.34/25.73  | | | | | 
% 169.34/25.73  | | | | | Case 1:
% 169.34/25.73  | | | | | | 
% 169.34/25.73  | | | | | |   (251)  all_56_4 = e0
% 169.34/25.73  | | | | | | 
% 169.34/25.73  | | | | | | COMBINE_EQS: (79), (251) imply:
% 169.34/25.73  | | | | | |   (252)  all_52_8 = e0
% 169.34/25.73  | | | | | | 
% 169.34/25.73  | | | | | | COMBINE_EQS: (93), (252) imply:
% 169.34/25.73  | | | | | |   (253)  all_58_24 = e0
% 169.34/25.73  | | | | | | 
% 169.34/25.73  | | | | | | REDUCE: (70), (252) imply:
% 169.34/25.73  | | | | | |   (254)   ~ (all_52_9 = e0)
% 169.34/25.73  | | | | | | 
% 169.34/25.73  | | | | | | SIMP: (254) implies:
% 169.34/25.73  | | | | | |   (255)   ~ (all_52_9 = e0)
% 169.34/25.73  | | | | | | 
% 169.34/25.73  | | | | | | REDUCE: (86), (252) imply:
% 169.34/25.73  | | | | | |   (256)   ~ (all_52_11 = e0)
% 169.34/25.73  | | | | | | 
% 169.34/25.73  | | | | | | REDUCE: (6), (252) imply:
% 169.34/25.73  | | | | | |   (257)   ~ (all_52_12 = e0)
% 169.34/25.73  | | | | | | 
% 169.34/25.73  | | | | | | REDUCE: (56), (252) imply:
% 169.34/25.73  | | | | | |   (258)  op(e3, e0) = all_58_2
% 169.34/25.73  | | | | | | 
% 169.34/25.73  | | | | | | REF_CLOSE: (3), (4), (8), (9), (10), (11), (12), (13), (14), (17),
% 169.34/25.73  | | | | | |            (20), (24), (25), (26), (27), (28), (29), (30), (31),
% 169.34/25.73  | | | | | |            (32), (33), (34), (36), (38), (42), (44), (45), (46),
% 169.34/25.73  | | | | | |            (48), (49), (50), (51), (52), (53), (63), (64), (65),
% 169.34/25.73  | | | | | |            (66), (68), (71), (72), (74), (76), (80), (81), (82),
% 169.34/25.73  | | | | | |            (83), (85), (87), (92), (94), (95), (98), (100), (101),
% 169.34/25.73  | | | | | |            (102), (103), (105), (106), (107), (108), (109), (110),
% 169.34/25.73  | | | | | |            (111), (113), (114), (115), (117), (119), (121), (122),
% 169.34/25.73  | | | | | |            (123), (124), (127), (128), (130), (134), (136), (251),
% 169.34/25.73  | | | | | |            (253), (255), (258) are inconsistent by sub-proof #119.
% 169.34/25.73  | | | | | | 
% 169.34/25.73  | | | | | Case 2:
% 169.34/25.73  | | | | | | 
% 169.34/25.73  | | | | | |   (259)  all_56_9 = e0
% 169.34/25.73  | | | | | | 
% 169.34/25.73  | | | | | | COMBINE_EQS: (51), (259) imply:
% 169.34/25.73  | | | | | |   (260)  all_52_12 = e0
% 169.34/25.73  | | | | | | 
% 169.34/25.73  | | | | | | REDUCE: (68), (260) imply:
% 169.34/25.73  | | | | | |   (261)  $false
% 169.34/25.73  | | | | | | 
% 169.34/25.73  | | | | | | CLOSE: (261) is inconsistent.
% 169.34/25.73  | | | | | | 
% 169.34/25.73  | | | | | End of split
% 169.34/25.73  | | | | | 
% 169.34/25.73  | | | | End of split
% 169.34/25.73  | | | | 
% 169.34/25.73  | | | End of split
% 169.34/25.73  | | | 
% 169.34/25.73  | | End of split
% 169.34/25.73  | | 
% 169.34/25.73  | Case 2:
% 169.34/25.73  | | 
% 169.34/25.73  | |   (262)  all_56_8 = e0 | all_56_11 = e0
% 169.34/25.73  | | 
% 169.34/25.73  | | REF_CLOSE: (5), (32), (39), (115), (262) are inconsistent by sub-proof #912.
% 169.34/25.73  | | 
% 169.34/25.73  | End of split
% 169.34/25.73  | 
% 169.34/25.73  End of proof
% 169.34/25.73  
% 169.34/25.73  Sub-proof #40 shows that the following formulas are inconsistent:
% 169.34/25.73  ----------------------------------------------------------------
% 169.34/25.73    (1)  op(e0, e0) = all_14_2
% 169.34/25.73    (2)  all_56_1 = all_52_4
% 169.34/25.73    (3)  op(all_4_2, e2) = e0
% 169.34/25.73    (4)  all_56_12 = all_52_3
% 169.34/25.73    (5)  op(e3, all_52_12) = all_58_3
% 169.34/25.73    (6)   ~ (all_52_8 = all_52_12)
% 169.34/25.73    (7)   ~ (e3 = e1)
% 169.34/25.73    (8)  all_58_23 = all_52_7
% 169.34/25.73    (9)   ~ (all_52_2 = all_6_2)
% 169.34/25.73    (10)   ~ (all_52_4 = all_4_2)
% 169.34/25.73    (11)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 169.34/25.73    (12)  all_56_5 = all_52_9
% 169.34/25.73    (13)  all_58_10 = all_52_14
% 169.34/25.73    (14)   ~ (all_52_12 = all_6_2)
% 169.34/25.73    (15)  op(e2, e0) = all_52_13
% 169.34/25.73    (16)   ~ (all_52_6 = all_4_2)
% 169.34/25.73    (17)  op(e1, e0) = all_52_14
% 169.34/25.73    (18)  all_56_15 = all_14_2
% 169.34/25.73    (19)  op(e0, e2) = all_52_7
% 169.34/25.73    (20)  all_54_1 = all_52_4
% 169.34/25.73    (21)   ~ (all_52_9 = all_4_2)
% 169.34/25.73    (22)   ~ (all_52_3 = all_52_7)
% 169.34/25.73    (23)  all_54_6 = all_52_9
% 169.34/25.73    (24)   ~ (all_52_7 = all_10_1)
% 169.34/25.73    (25)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 169.34/25.73    (26)   ~ (all_52_13 = all_4_2)
% 169.34/25.73    (27)  op(e2, all_52_1) = all_58_4
% 169.34/25.73    (28)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 169.34/25.73    (29)   ~ (all_52_9 = e0)
% 169.34/25.73    (30)   ~ (all_52_4 = all_52_6)
% 169.34/25.73    (31)  all_58_31 = all_14_2
% 169.34/25.73    (32)   ~ (all_52_9 = all_52_13)
% 169.34/25.73    (33)   ~ (all_52_3 = all_6_2)
% 169.34/25.73    (34)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 169.34/25.73    (35)  all_56_11 = all_52_14
% 169.34/25.73    (36)   ~ (all_52_6 = all_52_7)
% 169.34/25.73    (37)  all_56_0 = all_6_2
% 169.34/25.73    (38)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 169.34/25.73    (39)  all_58_30 = all_52_14
% 169.34/25.73    (40)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 169.34/25.73    (41)  all_58_17 = all_52_1
% 169.34/25.73    (42)  all_56_14 = all_10_1
% 169.34/25.73    (43)  all_58_19 = all_52_3
% 169.34/25.73    (44)  all_56_9 = all_52_12
% 169.34/25.73    (45)   ~ (all_52_2 = all_52_6)
% 169.34/25.73    (46)   ~ (e3 = e2)
% 169.34/25.73    (47)   ~ (all_52_4 = all_52_7)
% 169.34/25.73    (48)   ~ (e2 = e1)
% 169.34/25.73    (49)  all_58_26 = e0
% 169.34/25.73    (50)  all_56_8 = e0
% 169.34/25.73    (51)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 169.34/25.73    (52)   ~ (all_52_7 = all_14_2)
% 169.34/25.73    (53)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 169.34/25.73    (54)   ~ (all_52_13 = all_14_2)
% 169.34/25.73    (55)   ~ (all_52_1 = all_4_2)
% 169.34/25.73    (56)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.34/25.73    (57)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 169.34/25.73    (58)  all_54_9 = all_52_6
% 169.34/25.73    (59)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 169.34/25.73    (60)   ~ (all_52_13 = all_52_14)
% 169.34/25.73    (61)  all_58_18 = all_52_2
% 169.34/25.73    (62)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 169.34/25.73    (63)  all_58_16 = all_6_2
% 169.34/25.73    (64)  all_56_13 = all_52_7
% 169.34/25.73    (65)  op(e0, all_52_7) = all_58_13
% 169.34/25.73    (66)   ~ (all_52_8 = all_52_9)
% 169.34/25.73    (67)  all_56_2 = all_52_1
% 169.34/25.73    (68)   ~ (all_52_8 = all_10_1)
% 169.34/25.73    (69)   ~ (e3 = e0)
% 169.34/25.73    (70)  op(e3, e0) = all_52_12
% 169.34/25.73    (71)  all_58_29 = all_52_13
% 169.34/25.73    (72)   ~ (all_52_1 = all_52_2)
% 169.34/25.73    (73)   ~ (all_52_13 = e0)
% 169.34/25.73    (74)  op(all_10_1, e0) = all_10_0
% 169.34/25.73    (75)   ~ (all_52_7 = all_4_2)
% 169.34/25.73    (76)  all_56_4 = all_52_8
% 169.34/25.73    (77)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.34/25.73    (78)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 169.34/25.73    (79)   ~ (all_52_9 = all_10_1)
% 169.34/25.73    (80)   ~ (all_52_1 = all_52_13)
% 169.34/25.73    (81)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 169.34/25.73    (82)  all_58_20 = all_52_4
% 169.34/25.73    (83)   ~ (all_14_2 = all_10_1)
% 169.34/25.73    (84)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 169.34/25.73    (85)   ~ (all_52_8 = all_6_2)
% 169.34/25.73    (86)  all_56_6 = all_52_2
% 169.34/25.73    (87)   ~ (all_52_1 = all_52_9)
% 169.34/25.73    (88)  all_58_24 = all_52_8
% 169.34/25.73    (89)   ~ (all_52_12 = all_52_14)
% 169.34/25.73    (90)   ~ (all_52_4 = all_52_12)
% 169.34/25.73    (91)  all_56_3 = all_4_2
% 169.34/25.73    (92)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 169.34/25.73    (93)  all_58_27 = all_10_1
% 169.34/25.73    (94)   ~ (all_52_2 = all_52_3)
% 169.34/25.73    (95)   ~ (all_52_4 = all_52_8)
% 169.34/25.73    (96)   ~ (all_52_14 = all_14_2)
% 169.34/25.73    (97)  all_58_25 = all_52_9
% 169.34/25.73    (98)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 169.34/25.73    (99)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.34/25.73            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.34/25.73    (100)   ~ (all_52_6 = e0)
% 169.34/25.73    (101)   ~ (all_52_2 = all_52_14)
% 169.34/25.73    (102)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 169.34/25.73    (103)  all_58_21 = all_4_2
% 169.34/25.73    (104)  all_56_10 = all_52_13
% 169.34/25.73    (105)   ~ (e2 = e0)
% 169.34/25.73    (106)   ~ (all_52_3 = all_10_1)
% 169.34/25.73    (107)   ~ (all_52_14 = e0)
% 169.34/25.73    (108)  all_58_28 = all_52_12
% 169.34/25.73    (109)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 169.34/25.73    (110)   ~ (e1 = e0)
% 169.34/25.73    (111)  all_56_7 = all_52_6
% 169.34/25.73    (112)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 169.34/25.73             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 169.34/25.73             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 169.34/25.73             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 169.34/25.73             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 169.34/25.73             (all_58_15 = e0))
% 169.34/25.73    (113)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 169.34/25.73    (114)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 169.34/25.73    (115)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 169.34/25.73    (116)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 169.34/25.73           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 169.34/25.73           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 169.34/25.73           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 169.34/25.73           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 169.34/25.73           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 169.34/25.73           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 169.34/25.73           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 169.34/25.73           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 169.34/25.73           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 169.34/25.73             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 169.34/25.73             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 169.34/25.73             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 169.34/25.73             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 169.34/25.73             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 169.34/25.73             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 169.34/25.73             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 169.34/25.73             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 169.34/25.73             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 169.34/25.73             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 169.34/25.73             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 169.34/25.73             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 169.34/25.73             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 169.34/25.73             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 169.34/25.73             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 169.34/25.73             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 169.34/25.73           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 169.34/25.73           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 169.34/25.73           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 169.34/25.73             all_58_30 = e0 & e1 = e0)
% 169.34/25.73    (117)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 169.34/25.73    (118)   ~ (all_52_12 = all_52_13)
% 169.34/25.73  
% 169.34/25.73  Begin of proof
% 169.34/25.73  | 
% 169.34/25.73  | BETA: splitting (77) gives:
% 169.34/25.73  | 
% 169.34/25.73  | Case 1:
% 169.34/25.73  | | 
% 169.34/25.73  | |   (119)  all_56_2 = e0
% 169.34/25.73  | | 
% 169.34/25.73  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 169.34/25.73  | |            (14), (15), (16), (17), (18), (20), (21), (22), (23), (24), (25),
% 169.34/25.73  | |            (26), (27), (28), (30), (31), (32), (33), (34), (35), (36), (37),
% 169.34/25.73  | |            (38), (39), (40), (41), (42), (43), (44), (45), (46), (47), (48),
% 169.34/25.73  | |            (49), (50), (51), (52), (53), (54), (55), (56), (57), (58), (59),
% 169.34/25.73  | |            (60), (61), (62), (63), (64), (65), (66), (67), (68), (69), (70),
% 169.34/25.73  | |            (71), (72), (74), (75), (76), (78), (79), (80), (81), (82), (83),
% 169.34/25.73  | |            (84), (85), (86), (87), (88), (89), (90), (91), (92), (93), (94),
% 169.34/25.73  | |            (95), (96), (97), (98), (99), (100), (101), (102), (103), (104),
% 169.34/25.73  | |            (105), (106), (107), (108), (109), (110), (111), (112), (113),
% 169.34/25.73  | |            (114), (115), (116), (117), (118), (119) are inconsistent by
% 169.34/25.73  | |            sub-proof #239.
% 169.34/25.73  | | 
% 169.34/25.73  | Case 2:
% 169.34/25.73  | | 
% 169.34/25.73  | |   (120)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.34/25.73  | | 
% 169.34/25.73  | | REF_CLOSE: (3), (12), (19), (29), (73), (75), (91), (99), (104), (120) are
% 169.34/25.73  | |            inconsistent by sub-proof #127.
% 169.34/25.73  | | 
% 169.34/25.73  | End of split
% 169.34/25.73  | 
% 169.34/25.73  End of proof
% 169.34/25.73  
% 169.34/25.73  Sub-proof #41 shows that the following formulas are inconsistent:
% 169.34/25.73  ----------------------------------------------------------------
% 169.34/25.73    (1)   ~ (all_52_8 = all_52_12)
% 169.34/25.73    (2)   ~ (e3 = e1)
% 169.34/25.73    (3)  all_58_23 = all_52_7
% 169.34/25.73    (4)   ~ (all_52_2 = all_6_2)
% 169.34/25.73    (5)  all_54_3 = all_52_12
% 169.34/25.73    (6)  all_56_5 = all_52_9
% 169.34/25.73    (7)  all_58_10 = all_52_14
% 169.34/25.73    (8)   ~ (all_52_12 = all_6_2)
% 169.34/25.73    (9)  all_56_10 = e0
% 169.34/25.73    (10)  all_56_15 = all_14_2
% 169.34/25.73    (11)   ~ (all_14_2 = e0)
% 169.34/25.73    (12)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 169.34/25.73    (13)   ~ (all_52_9 = all_4_2)
% 169.34/25.73    (14)  all_58_12 = all_14_2
% 169.34/25.73    (15)  all_56_12 = e0
% 169.34/25.73    (16)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 169.34/25.73    (17)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 169.34/25.73    (18)  all_58_31 = all_14_2
% 169.34/25.73    (19)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 169.34/25.73    (20)   ~ (all_52_1 = all_6_2)
% 169.34/25.73    (21)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 169.34/25.73    (22)  all_56_11 = all_52_14
% 169.34/25.73    (23)   ~ (all_52_6 = all_52_7)
% 169.34/25.73    (24)  all_56_0 = all_6_2
% 169.34/25.73    (25)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 169.34/25.73    (26)  all_58_30 = all_52_14
% 169.34/25.73    (27)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 169.34/25.73    (28)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 169.34/25.73    (29)  all_58_20 = e0
% 169.34/25.73    (30)  all_56_14 = all_10_1
% 169.34/25.73    (31)  all_56_9 = all_52_12
% 169.34/25.73    (32)   ~ (all_52_9 = e2)
% 169.34/25.73    (33)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 169.34/25.73    (34)   ~ (e3 = e2)
% 169.34/25.73    (35)   ~ (e2 = e1)
% 169.34/25.73    (36)  all_58_26 = e0
% 169.34/25.73    (37)  all_56_8 = e0
% 169.34/25.73    (38)   ~ (all_52_1 = all_4_2)
% 169.34/25.73    (39)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 169.34/25.73    (40)  all_58_7 = e0
% 169.34/25.73    (41)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 169.34/25.73    (42)  all_56_13 = all_52_7
% 169.34/25.73    (43)   ~ (all_52_12 = e0)
% 169.34/25.73    (44)  all_56_2 = all_52_1
% 169.34/25.73    (45)   ~ (all_52_8 = all_10_1)
% 169.34/25.73    (46)   ~ (all_4_2 = e0)
% 169.34/25.73    (47)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 169.34/25.73    (48)   ~ (all_6_2 = e0)
% 169.34/25.73    (49)   ~ (all_52_6 = all_52_14)
% 169.34/25.73    (50)   ~ (all_52_7 = all_4_2)
% 169.34/25.73    (51)  all_56_4 = all_52_8
% 169.34/25.73    (52)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 169.34/25.73    (53)  all_54_13 = all_52_7
% 169.34/25.73    (54)  all_54_15 = all_14_2
% 169.34/25.73    (55)   ~ (all_14_2 = all_10_1)
% 169.34/25.73    (56)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 169.34/25.73    (57)   ~ (all_52_8 = all_6_2)
% 169.34/25.73    (58)  all_56_6 = all_52_2
% 169.34/25.73    (59)   ~ (all_52_7 = e0)
% 169.34/25.73    (60)  all_58_24 = all_52_8
% 169.34/25.73    (61)   ~ (all_52_12 = all_52_14)
% 169.34/25.73    (62)  all_58_22 = all_52_6
% 169.34/25.73    (63)  all_58_29 = e0
% 169.34/25.73    (64)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 169.34/25.73    (65)  all_58_1 = all_52_12
% 169.34/25.73    (66)  all_58_27 = all_10_1
% 169.34/25.73    (67)   ~ (all_52_14 = all_14_2)
% 169.34/25.73    (68)  all_58_25 = all_52_9
% 169.34/25.73    (69)  all_58_21 = all_4_2
% 169.34/25.73    (70)   ~ (e2 = e0)
% 169.34/25.73    (71)   ~ (all_52_14 = e0)
% 169.34/25.73    (72)  all_58_28 = all_52_12
% 169.34/25.73    (73)   ~ (e1 = e0)
% 169.34/25.73    (74)  all_56_7 = all_52_6
% 169.34/25.73    (75)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 169.34/25.73            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 169.34/25.73            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 169.34/25.73            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 169.34/25.73            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 169.34/25.73            (all_58_15 = e0))
% 169.34/25.73    (76)   ~ (all_52_8 = e0)
% 169.34/25.73    (77)   ~ (all_10_1 = e0)
% 169.34/25.73  
% 169.34/25.73  Begin of proof
% 169.34/25.73  | 
% 169.34/25.73  | BETA: splitting (33) gives:
% 169.34/25.73  | 
% 169.34/25.73  | Case 1:
% 169.34/25.73  | | 
% 169.34/25.73  | |   (78)  all_58_26 = e1
% 169.34/25.73  | | 
% 169.34/25.74  | | COMBINE_EQS: (36), (78) imply:
% 169.34/25.74  | |   (79)  e1 = e0
% 169.34/25.74  | | 
% 169.34/25.74  | | REDUCE: (73), (79) imply:
% 169.34/25.74  | |   (80)  $false
% 169.34/25.74  | | 
% 169.34/25.74  | | CLOSE: (80) is inconsistent.
% 169.34/25.74  | | 
% 169.34/25.74  | Case 2:
% 169.34/25.74  | | 
% 169.34/25.74  | |   (81)  all_58_24 = e3 | all_58_25 = e2
% 169.34/25.74  | | 
% 169.34/25.74  | | BETA: splitting (81) gives:
% 169.34/25.74  | | 
% 169.34/25.74  | | Case 1:
% 169.34/25.74  | | | 
% 169.34/25.74  | | |   (82)  all_58_25 = e2
% 169.34/25.74  | | | 
% 169.34/25.74  | | | COMBINE_EQS: (68), (82) imply:
% 169.34/25.74  | | |   (83)  all_52_9 = e2
% 169.34/25.74  | | | 
% 169.34/25.74  | | | REDUCE: (32), (83) imply:
% 169.34/25.74  | | |   (84)  $false
% 169.34/25.74  | | | 
% 169.34/25.74  | | | CLOSE: (84) is inconsistent.
% 169.34/25.74  | | | 
% 169.34/25.74  | | Case 2:
% 169.34/25.74  | | | 
% 169.34/25.74  | | |   (85)  all_58_24 = e3
% 169.34/25.74  | | | 
% 169.34/25.74  | | | COMBINE_EQS: (60), (85) imply:
% 169.34/25.74  | | |   (86)  all_52_8 = e3
% 169.34/25.74  | | | 
% 169.34/25.74  | | | REDUCE: (1), (86) imply:
% 169.34/25.74  | | |   (87)   ~ (all_52_12 = e3)
% 169.34/25.74  | | | 
% 169.34/25.74  | | | SIMP: (87) implies:
% 169.34/25.74  | | |   (88)   ~ (all_52_12 = e3)
% 169.34/25.74  | | | 
% 169.34/25.74  | | | REDUCE: (76), (86) imply:
% 169.34/25.74  | | |   (89)   ~ (e3 = e0)
% 169.34/25.74  | | | 
% 169.34/25.74  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 169.34/25.74  | | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 169.34/25.74  | | |            (23), (24), (25), (26), (27), (28), (29), (30), (31), (34),
% 169.34/25.74  | | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (44),
% 169.34/25.74  | | |            (45), (46), (47), (48), (49), (50), (51), (52), (53), (54),
% 169.34/25.74  | | |            (55), (56), (57), (58), (59), (60), (61), (62), (63), (64),
% 169.34/25.74  | | |            (65), (66), (67), (68), (69), (70), (71), (72), (74), (75),
% 169.34/25.74  | | |            (76), (77), (88), (89) are inconsistent by sub-proof #247.
% 169.34/25.74  | | | 
% 169.34/25.74  | | End of split
% 169.34/25.74  | | 
% 169.34/25.74  | End of split
% 169.34/25.74  | 
% 169.34/25.74  End of proof
% 169.34/25.74  
% 169.34/25.74  Sub-proof #42 shows that the following formulas are inconsistent:
% 169.34/25.74  ----------------------------------------------------------------
% 169.34/25.74    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 169.34/25.74    (2)  op(all_4_2, e2) = e0
% 169.34/25.74    (3)  all_56_12 = e0
% 169.34/25.74    (4)  op(e2, all_4_2) = all_58_5
% 169.34/25.74    (5)  all_58_20 = e0
% 169.34/25.74    (6)   ~ (all_52_2 = all_52_6)
% 169.34/25.74    (7)  op(e2, e2) = all_4_2
% 169.34/25.74    (8)   ~ (e3 = e0)
% 169.34/25.74    (9)   ~ (all_4_2 = e0)
% 169.34/25.74    (10)  all_56_6 = all_52_2
% 169.34/25.74    (11)  all_56_6 = e1 | all_56_12 = e1
% 169.34/25.74    (12)  all_58_22 = all_52_6
% 169.34/25.74    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.34/25.74            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.34/25.74    (14)  all_58_21 = all_4_2
% 169.34/25.74    (15)   ~ (e1 = e0)
% 169.34/25.74  
% 169.34/25.74  Begin of proof
% 169.34/25.74  | 
% 169.34/25.74  | BETA: splitting (11) gives:
% 169.34/25.74  | 
% 169.34/25.74  | Case 1:
% 169.34/25.74  | | 
% 169.34/25.74  | |   (16)  all_56_6 = e1
% 169.34/25.74  | | 
% 169.34/25.74  | | COMBINE_EQS: (10), (16) imply:
% 169.34/25.74  | |   (17)  all_52_2 = e1
% 169.34/25.74  | | 
% 169.34/25.74  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (12), (13), (14), (17)
% 169.34/25.74  | |            are inconsistent by sub-proof #112.
% 169.34/25.74  | | 
% 169.34/25.74  | Case 2:
% 169.34/25.74  | | 
% 169.34/25.74  | |   (18)  all_56_12 = e1
% 169.34/25.74  | | 
% 169.34/25.74  | | COMBINE_EQS: (3), (18) imply:
% 169.34/25.74  | |   (19)  e1 = e0
% 169.34/25.74  | | 
% 169.34/25.74  | | REDUCE: (15), (19) imply:
% 169.34/25.74  | |   (20)  $false
% 169.34/25.74  | | 
% 169.34/25.74  | | CLOSE: (20) is inconsistent.
% 169.34/25.74  | | 
% 169.34/25.74  | End of split
% 169.34/25.74  | 
% 169.34/25.74  End of proof
% 169.34/25.74  
% 169.34/25.74  Sub-proof #43 shows that the following formulas are inconsistent:
% 169.34/25.74  ----------------------------------------------------------------
% 169.34/25.74    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 169.34/25.74    (2)  op(all_4_2, e2) = e0
% 169.34/25.74    (3)   ~ (all_52_6 = all_4_2)
% 169.34/25.74    (4)  op(e2, all_4_2) = all_58_5
% 169.34/25.74    (5)  all_58_20 = e0
% 169.34/25.74    (6)  op(e2, e2) = all_4_2
% 169.34/25.74    (7)   ~ (e3 = e0)
% 169.34/25.74    (8)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3 & all_58_18 = e1 &
% 169.34/25.74           all_58_20 = e3 & all_58_24 = e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 169.34/25.74           all_58_20 = e3 & all_58_28 = e0) | (all_58_17 = e3 & all_58_20 = e3 &
% 169.34/25.74           all_58_22 = e2 & all_58_25 = e2) | (all_58_17 = e3 & all_58_20 = e3 &
% 169.34/25.74           all_58_23 = e2 & all_58_29 = e2) | (all_58_17 = e2 & all_58_18 = e3 &
% 169.34/25.74           all_58_20 = e2 & all_58_24 = e3) | (all_58_17 = e2 & all_58_19 = e3 &
% 169.34/25.74           all_58_20 = e2 & all_58_28 = e3) | (all_58_17 = e2 & all_58_20 = e2 &
% 169.34/25.74           all_58_22 = e1 & all_58_25 = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 169.34/25.74           all_58_23 = e0 & all_58_29 = e0) | (all_58_17 = e2 & all_58_20 = e2 &
% 169.34/25.74           e3 = e2) | (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 169.34/25.74           all_58_28 = e0) | (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 &
% 169.34/25.74           all_58_25 = e1) | (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 169.34/25.74           all_58_30 = e1) | (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 169.34/25.74           all_58_28 = e3) | (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 &
% 169.34/25.74           all_58_25 = e2) | (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 169.34/25.74           all_58_30 = e0) | (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 169.34/25.74         (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 & all_58_29 = e0) |
% 169.34/25.74         (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 169.34/25.74         (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 169.34/25.74         (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 169.34/25.74         (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2 & all_58_23
% 169.34/25.74           = e0 & all_58_25 = e2 & all_58_29 = e0) | (all_58_22 = e2 & all_58_25 =
% 169.34/25.74           e2 & all_58_27 = e1 & all_58_30 = e1) | (all_58_22 = e1 & all_58_23 =
% 169.34/25.74           e2 & all_58_25 = e1 & all_58_29 = e2) | (all_58_22 = e1 & all_58_25 =
% 169.34/25.74           e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_22 = e1 & all_58_25 =
% 169.34/25.74           e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 169.34/25.74           all_58_30 = e0) | (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 169.34/25.74           all_58_30 = e1) | (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 169.34/25.74         (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 169.34/25.74    (9)   ~ (all_4_2 = e0)
% 169.34/25.74    (10)   ~ (all_4_2 = e3)
% 169.34/25.74    (11)  all_58_22 = all_52_6
% 169.34/25.74    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.34/25.74            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.34/25.74    (13)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 169.34/25.74    (14)  all_58_21 = all_4_2
% 169.34/25.74    (15)  all_54_5 = all_4_2
% 169.34/25.74  
% 169.34/25.74  Begin of proof
% 169.34/25.74  | 
% 169.34/25.74  | BETA: splitting (8) gives:
% 169.34/25.74  | 
% 169.34/25.74  | Case 1:
% 169.34/25.74  | | 
% 169.34/25.74  | |   (16)  all_58_21 = e2
% 169.34/25.74  | | 
% 169.34/25.74  | | REF_CLOSE: (2), (4), (6), (9), (12), (14), (16) are inconsistent by
% 169.34/25.74  | |            sub-proof #123.
% 169.34/25.74  | | 
% 169.34/25.74  | Case 2:
% 169.34/25.74  | | 
% 169.34/25.74  | |   (17)   ~ (all_58_21 = e2)
% 169.34/25.74  | | 
% 169.34/25.74  | | REDUCE: (14), (17) imply:
% 169.34/25.74  | |   (18)   ~ (all_4_2 = e2)
% 169.34/25.74  | | 
% 169.34/25.74  | | REF_CLOSE: (1), (3), (5), (7), (10), (11), (13), (14), (15), (18) are
% 169.34/25.74  | |            inconsistent by sub-proof #85.
% 169.34/25.74  | | 
% 169.34/25.74  | End of split
% 169.34/25.74  | 
% 169.34/25.74  End of proof
% 169.34/25.74  
% 169.34/25.74  Sub-proof #44 shows that the following formulas are inconsistent:
% 169.34/25.74  ----------------------------------------------------------------
% 169.34/25.74    (1)   ~ (all_52_12 = all_14_2)
% 169.34/25.74    (2)  op(e0, e0) = all_14_2
% 169.34/25.74    (3)  all_56_1 = all_52_4
% 169.34/25.74    (4)  op(all_4_2, e2) = e0
% 169.34/25.74    (5)  all_56_12 = all_52_3
% 169.34/25.74    (6)  all_56_15 = e0 | ((all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 169.34/25.74           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0))
% 169.34/25.74    (7)  op(e3, all_52_12) = all_58_3
% 169.34/25.74    (8)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 169.34/25.74    (9)   ~ (all_52_8 = all_52_12)
% 169.34/25.74    (10)   ~ (e3 = e1)
% 169.34/25.74    (11)  all_58_23 = all_52_7
% 169.34/25.74    (12)  all_44_0 = all_4_0
% 169.34/25.74    (13)   ~ (all_52_2 = all_6_2)
% 169.34/25.74    (14)   ~ (all_52_3 = all_14_2)
% 169.34/25.74    (15)   ~ (all_52_4 = all_4_2)
% 169.34/25.74    (16)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 169.34/25.74    (17)  all_54_3 = all_52_12
% 169.34/25.74    (18)  all_56_5 = all_52_9
% 169.34/25.74    (19)  all_58_10 = all_52_14
% 169.34/25.74    (20)  op(all_6_2, e3) = all_6_1
% 169.34/25.74    (21)   ~ (all_52_12 = all_6_2)
% 169.34/25.74    (22)  op(e2, e0) = all_52_13
% 169.34/25.74    (23)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 169.34/25.74    (24)   ~ (all_52_6 = all_4_2)
% 169.34/25.74    (25)  op(e3, all_6_2) = all_58_0
% 169.34/25.74    (26)  op(e1, e0) = all_52_14
% 169.34/25.74    (27)  all_56_15 = all_14_2
% 169.34/25.74    (28)  op(e0, e2) = all_52_7
% 169.34/25.74    (29)  op(e3, all_52_4) = all_58_1
% 169.34/25.74    (30)  all_54_1 = all_52_4
% 169.34/25.74    (31)  op(all_10_2, e1) = all_10_1
% 169.34/25.74    (32)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 169.34/25.74    (33)  op(e1, all_10_2) = all_58_10
% 169.34/25.74    (34)   ~ (all_52_9 = all_4_2)
% 169.34/25.74    (35)   ~ (all_52_3 = all_52_7)
% 169.34/25.74    (36)  op(e1, e1) = all_10_2
% 169.34/25.74    (37)  all_54_6 = all_52_9
% 169.34/25.74    (38)   ~ (all_52_7 = all_10_1)
% 169.34/25.74    (39)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 169.34/25.74    (40)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 169.34/25.74    (41)   ~ (all_52_13 = all_4_2)
% 169.34/25.74    (42)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 169.34/25.74    (43)  op(e0, all_52_3) = all_58_12
% 169.34/25.74    (44)  all_48_2 = all_14_2
% 169.34/25.74    (45)  op(e2, all_52_1) = all_58_4
% 169.34/25.74    (46)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 169.34/25.74    (47)   ~ (all_52_9 = e0)
% 169.34/25.74    (48)  all_58_26 = all_10_2
% 169.34/25.74    (49)   ~ (all_52_4 = all_52_6)
% 169.34/25.74    (50)  all_58_31 = all_14_2
% 169.34/25.74    (51)   ~ (all_52_9 = all_52_13)
% 169.34/25.74    (52)   ~ (all_52_3 = all_6_2)
% 169.34/25.74    (53)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 169.34/25.74    (54)   ~ (all_52_1 = all_6_2)
% 169.34/25.74    (55)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 169.34/25.74    (56)  all_56_11 = all_52_14
% 169.34/25.74    (57)   ~ (all_52_6 = all_52_7)
% 169.34/25.74    (58)  all_56_0 = all_6_2
% 169.34/25.74    (59)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 169.34/25.74    (60)  all_58_30 = all_52_14
% 169.34/25.74    (61)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 169.34/25.74    (62)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 169.34/25.74    (63)  all_58_17 = all_52_1
% 169.34/25.74    (64)  all_42_2 = all_6_2
% 169.34/25.74    (65)   ~ (all_42_0 = e1) |  ~ (all_42_1 = e2) |  ~ (all_42_2 = e0)
% 169.34/25.74    (66)  all_44_1 = e0
% 169.34/25.74    (67)  op(e2, all_4_2) = all_58_5
% 169.34/25.74    (68)  all_56_14 = all_10_1
% 169.34/25.74    (69)  all_58_19 = all_52_3
% 169.34/25.74    (70)  all_56_9 = all_52_12
% 169.34/25.74    (71)   ~ (all_52_2 = all_52_6)
% 169.34/25.74    (72)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 169.34/25.74    (73)  op(e2, e2) = all_4_2
% 169.34/25.74    (74)   ~ (e3 = e2)
% 169.34/25.74    (75)   ~ (all_52_4 = all_52_7)
% 169.34/25.74    (76)   ~ (e2 = e1)
% 169.34/25.74    (77)  all_58_26 = e0
% 169.34/25.74    (78)  all_56_8 = e0
% 169.34/25.74    (79)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 169.34/25.74    (80)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 169.34/25.74    (81)   ~ (all_52_2 = e0)
% 169.34/25.74    (82)   ~ (all_52_7 = all_14_2)
% 169.34/25.74    (83)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 169.34/25.74    (84)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 169.34/25.74    (85)   ~ (all_52_13 = all_14_2)
% 169.34/25.74    (86)   ~ (all_52_1 = all_4_2)
% 169.34/25.74    (87)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.34/25.74    (88)  all_54_14 = all_10_1
% 169.34/25.74    (89)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 169.34/25.74    (90)  all_54_9 = all_52_6
% 169.34/25.74    (91)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 169.34/25.74    (92)   ~ (all_52_13 = all_52_14)
% 169.34/25.74    (93)   ~ (all_48_0 = e3) |  ~ (all_48_1 = e2) |  ~ (all_48_2 = e1)
% 169.34/25.74    (94)  all_58_18 = all_52_2
% 169.34/25.74    (95)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 169.34/25.74    (96)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 169.34/25.74    (97)  all_58_16 = all_6_2
% 169.34/25.74    (98)  all_56_13 = all_52_7
% 169.34/25.74    (99)  op(e0, e3) = all_52_3
% 169.34/25.74    (100)  op(e0, all_52_7) = all_58_13
% 169.34/25.74    (101)   ~ (all_52_8 = all_52_9)
% 169.34/25.74    (102)   ~ (all_52_4 = all_6_2)
% 169.34/25.74    (103)  all_56_2 = all_52_1
% 169.34/25.74    (104)   ~ (all_14_0 = e1)
% 169.34/25.74    (105)   ~ (all_52_8 = all_10_1)
% 169.34/25.74    (106)   ~ (e3 = e0)
% 169.34/25.74    (107)  op(e3, e0) = all_52_12
% 169.34/25.74    (108)  all_58_29 = all_52_13
% 169.34/25.74    (109)   ~ (all_52_1 = all_52_2)
% 169.34/25.74    (110)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 169.34/25.74    (111)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 169.34/25.74    (112)  op(all_10_1, e0) = all_10_0
% 169.34/25.74    (113)  op(e0, all_4_2) = all_4_0
% 169.34/25.74    (114)   ~ (all_52_6 = all_52_14)
% 169.34/25.74    (115)   ~ (all_52_7 = all_4_2)
% 169.34/25.74    (116)  all_56_4 = all_52_8
% 169.34/25.74    (117)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.34/25.74    (118)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 169.34/25.74    (119)   ~ (all_52_9 = all_10_1)
% 169.34/25.74    (120)  op(all_14_1, all_14_2) = all_14_0
% 169.34/25.74    (121)   ~ (all_52_1 = all_52_13)
% 169.34/25.74    (122)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 169.34/25.74    (123)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 169.34/25.74    (124)  all_58_20 = all_52_4
% 169.34/25.74    (125)  all_54_13 = all_52_7
% 169.34/25.74    (126)  all_54_15 = all_14_2
% 169.34/25.74    (127)  op(e0, all_10_1) = all_58_14
% 169.34/25.74    (128)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 169.34/25.74    (129)  all_44_2 = all_4_2
% 169.34/25.74    (130)   ~ (all_14_2 = all_10_1)
% 169.34/25.74    (131)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 169.34/25.74    (132)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 169.34/25.74    (133)   ~ (all_52_8 = all_6_2)
% 169.34/25.74    (134)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 169.34/25.74    (135)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 169.34/25.74    (136)  all_56_6 = all_52_2
% 169.34/25.74    (137)   ~ (all_52_1 = all_52_9)
% 169.34/25.74    (138)  op(e3, e3) = all_6_2
% 169.34/25.74    (139)  all_58_24 = all_52_8
% 169.34/25.74    (140)   ~ (all_52_12 = all_52_14)
% 169.34/25.74    (141)  all_58_22 = all_52_6
% 169.34/25.74    (142)  op(all_14_2, e0) = all_14_1
% 169.34/25.74    (143)   ~ (all_52_4 = all_52_12)
% 169.34/25.74    (144)  all_56_3 = all_4_2
% 169.34/25.74    (145)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 169.34/25.74    (146)  all_54_0 = all_6_2
% 169.34/25.74    (147)  all_58_27 = all_10_1
% 169.34/25.74    (148)   ~ (all_52_2 = all_52_3)
% 169.34/25.74    (149)   ~ (all_52_4 = all_52_8)
% 169.34/25.74    (150)   ~ (all_52_14 = all_14_2)
% 169.34/25.74    (151)  all_58_25 = all_52_9
% 169.34/25.74    (152)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 169.34/25.74    (153)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.34/25.74             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.34/25.74    (154)   ~ (all_52_6 = e0)
% 169.34/25.74    (155)  all_54_12 = all_52_3
% 169.34/25.74    (156)   ~ (all_52_2 = all_52_14)
% 169.34/25.74    (157)  op(e0, all_14_2) = all_58_15
% 169.34/25.74    (158)  all_58_21 = all_4_2
% 169.34/25.74    (159)  all_56_10 = all_52_13
% 169.34/25.74    (160)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 169.34/25.74    (161)   ~ (e2 = e0)
% 169.34/25.74    (162)   ~ (all_52_1 = all_52_3)
% 169.34/25.74    (163)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 169.34/25.74    (164)   ~ (all_52_3 = all_10_1)
% 169.34/25.74    (165)   ~ (all_52_14 = e0)
% 169.34/25.74    (166)  all_58_28 = all_52_12
% 169.34/25.74    (167)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 169.34/25.74    (168)   ~ (e1 = e0)
% 169.34/25.74    (169)  all_54_4 = all_52_1
% 169.34/25.74    (170)  all_56_7 = all_52_6
% 169.34/25.74    (171)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 169.34/25.74             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 169.34/25.74             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 169.34/25.74             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 169.34/25.74             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 169.34/25.74             (all_58_15 = e0))
% 169.34/25.74    (172)   ~ (all_52_8 = e0)
% 169.34/25.74    (173)  all_54_5 = all_4_2
% 169.34/25.74    (174)   ~ (all_44_0 = e1) |  ~ (all_44_1 = e0) |  ~ (all_44_2 = e3)
% 169.34/25.74    (175)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 169.34/25.74    (176)  op(e2, all_52_13) = all_58_7
% 169.34/25.74    (177)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 169.34/25.74    (178)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 169.34/25.74           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 169.34/25.74           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 169.34/25.74           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 169.34/25.74           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 169.81/25.74           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 169.81/25.74           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 169.81/25.74           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 169.81/25.74           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 169.81/25.74           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 169.81/25.74             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 169.81/25.74             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 169.81/25.74             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 169.81/25.74             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 169.81/25.74             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 169.81/25.74             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 169.81/25.74             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 169.81/25.74             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 169.81/25.74             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 169.81/25.74             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 169.81/25.74             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 169.81/25.74             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 169.81/25.74             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 169.81/25.74             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 169.81/25.74             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 169.81/25.74             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 169.81/25.74           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 169.81/25.74           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 169.81/25.74           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 169.81/25.74             all_58_30 = e0 & e1 = e0)
% 169.81/25.74    (179)  all_54_7 = all_52_13
% 169.81/25.74    (180)   ~ (all_10_1 = e0)
% 169.81/25.74    (181)  all_54_11 = all_52_14
% 169.81/25.74    (182)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 169.81/25.74    (183)   ~ (all_52_12 = all_52_13)
% 169.81/25.74  
% 169.81/25.74  Begin of proof
% 169.81/25.74  | 
% 169.81/25.74  | BETA: splitting (65) gives:
% 169.81/25.74  | 
% 169.81/25.74  | Case 1:
% 169.81/25.74  | | 
% 169.81/25.74  | |   (184)   ~ (all_42_2 = e0)
% 169.81/25.74  | | 
% 169.81/25.74  | | REDUCE: (64), (184) imply:
% 169.81/25.74  | |   (185)   ~ (all_6_2 = e0)
% 169.81/25.74  | | 
% 169.81/25.74  | | BETA: splitting (174) gives:
% 169.81/25.74  | | 
% 169.81/25.74  | | Case 1:
% 169.81/25.74  | | | 
% 169.81/25.74  | | |   (186)   ~ (all_44_1 = e0)
% 169.81/25.74  | | | 
% 169.81/25.74  | | | REDUCE: (66), (186) imply:
% 169.81/25.74  | | |   (187)  $false
% 169.81/25.74  | | | 
% 169.81/25.74  | | | CLOSE: (187) is inconsistent.
% 169.81/25.74  | | | 
% 169.81/25.74  | | Case 2:
% 169.81/25.74  | | | 
% 169.81/25.74  | | |   (188)   ~ (all_44_0 = e1) |  ~ (all_44_2 = e3)
% 169.81/25.74  | | | 
% 169.81/25.74  | | | BETA: splitting (93) gives:
% 169.81/25.74  | | | 
% 169.81/25.74  | | | Case 1:
% 169.81/25.74  | | | | 
% 169.81/25.74  | | | |   (189)   ~ (all_48_2 = e1)
% 169.81/25.74  | | | | 
% 169.81/25.74  | | | | REDUCE: (44), (189) imply:
% 169.81/25.74  | | | |   (190)   ~ (all_14_2 = e1)
% 169.81/25.74  | | | | 
% 169.81/25.74  | | | | BETA: splitting (6) gives:
% 169.81/25.74  | | | | 
% 169.81/25.74  | | | | Case 1:
% 169.81/25.74  | | | | | 
% 169.81/25.74  | | | | |   (191)  all_56_15 = e0
% 169.81/25.74  | | | | | 
% 169.81/25.74  | | | | | COMBINE_EQS: (27), (191) imply:
% 169.81/25.74  | | | | |   (192)  all_14_2 = e0
% 169.81/25.74  | | | | | 
% 169.81/25.74  | | | | | SIMP: (192) implies:
% 169.81/25.74  | | | | |   (193)  all_14_2 = e0
% 169.81/25.74  | | | | | 
% 169.81/25.74  | | | | | REDUCE: (82), (193) imply:
% 169.81/25.74  | | | | |   (194)   ~ (all_52_7 = e0)
% 169.81/25.74  | | | | | 
% 169.81/25.74  | | | | | REDUCE: (85), (193) imply:
% 169.81/25.74  | | | | |   (195)   ~ (all_52_13 = e0)
% 169.81/25.74  | | | | | 
% 169.81/25.74  | | | | | REDUCE: (130), (193) imply:
% 169.81/25.74  | | | | |   (196)   ~ (all_10_1 = e0)
% 169.81/25.74  | | | | | 
% 169.81/25.74  | | | | | REDUCE: (120), (193) imply:
% 169.81/25.74  | | | | |   (197)  op(all_14_1, e0) = all_14_0
% 169.81/25.74  | | | | | 
% 169.81/25.74  | | | | | REDUCE: (142), (193) imply:
% 169.81/25.74  | | | | |   (198)  op(e0, e0) = all_14_1
% 169.81/25.74  | | | | | 
% 169.81/25.74  | | | | | REDUCE: (157), (193) imply:
% 169.81/25.74  | | | | |   (199)  op(e0, e0) = all_58_15
% 169.81/25.74  | | | | | 
% 169.81/25.74  | | | | | REDUCE: (2), (193) imply:
% 169.81/25.74  | | | | |   (200)  op(e0, e0) = e0
% 169.81/25.74  | | | | | 
% 169.81/25.74  | | | | | REF_CLOSE: (3), (4), (5), (8), (9), (10), (11), (12), (13), (15),
% 169.81/25.74  | | | | |            (16), (18), (23), (24), (25), (28), (31), (33), (34), (36),
% 169.81/25.74  | | | | |            (41), (42), (47), (48), (49), (51), (52), (58), (59), (61),
% 169.81/25.74  | | | | |            (63), (67), (68), (69), (70), (71), (73), (74), (75), (76),
% 169.81/25.74  | | | | |            (77), (78), (83), (84), (86), (87), (94), (96), (97), (98),
% 169.81/25.74  | | | | |            (99), (101), (102), (103), (104), (105), (106), (113),
% 169.81/25.74  | | | | |            (115), (116), (117), (121), (123), (124), (127), (129),
% 169.81/25.74  | | | | |            (131), (132), (136), (137), (138), (139), (141), (144),
% 169.81/25.74  | | | | |            (145), (146), (147), (148), (149), (151), (153), (154),
% 169.81/25.74  | | | | |            (155), (158), (159), (160), (161), (162), (164), (170),
% 169.81/25.74  | | | | |            (171), (173), (175), (179), (180), (188), (194), (195),
% 169.81/25.74  | | | | |            (197), (198), (199), (200) are inconsistent by sub-proof
% 169.81/25.74  | | | | |            #46.
% 169.81/25.74  | | | | | 
% 169.81/25.74  | | | | Case 2:
% 169.81/25.74  | | | | | 
% 169.81/25.74  | | | | |   (201)   ~ (all_56_15 = e0)
% 169.81/25.74  | | | | |   (202)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 169.81/25.74  | | | | |          (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0)
% 169.81/25.74  | | | | | 
% 169.81/25.74  | | | | | ALPHA: (202) implies:
% 169.81/25.74  | | | | |   (203)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 169.81/25.74  | | | | | 
% 169.81/25.74  | | | | | REDUCE: (27), (201) imply:
% 169.81/25.74  | | | | |   (204)   ~ (all_14_2 = e0)
% 169.81/25.74  | | | | | 
% 169.81/25.74  | | | | | BETA: splitting (79) gives:
% 169.81/25.74  | | | | | 
% 169.81/25.74  | | | | | Case 1:
% 169.81/25.74  | | | | | | 
% 169.81/25.74  | | | | | |   (205)  all_54_15 = e0
% 169.81/25.74  | | | | | | 
% 169.81/25.74  | | | | | | REF_CLOSE: (126), (204), (205) are inconsistent by sub-proof #910.
% 169.81/25.74  | | | | | | 
% 169.81/25.74  | | | | | Case 2:
% 169.81/25.74  | | | | | | 
% 169.81/25.74  | | | | | |   (206)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 169.81/25.74  | | | | | | 
% 169.81/25.74  | | | | | | BETA: splitting (128) gives:
% 169.81/25.74  | | | | | | 
% 169.81/25.74  | | | | | | Case 1:
% 169.81/25.74  | | | | | | | 
% 169.81/25.74  | | | | | | |   (207)  all_56_0 = e0
% 169.81/25.74  | | | | | | | 
% 169.81/25.74  | | | | | | | COMBINE_EQS: (58), (207) imply:
% 169.81/25.74  | | | | | | |   (208)  all_6_2 = e0
% 169.81/25.74  | | | | | | | 
% 169.81/25.74  | | | | | | | REDUCE: (185), (208) imply:
% 169.81/25.74  | | | | | | |   (209)  $false
% 169.81/25.74  | | | | | | | 
% 169.81/25.74  | | | | | | | CLOSE: (209) is inconsistent.
% 169.81/25.74  | | | | | | | 
% 169.81/25.74  | | | | | | Case 2:
% 169.81/25.74  | | | | | | | 
% 169.81/25.74  | | | | | | |   (210)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 169.81/25.74  | | | | | | | 
% 169.81/25.75  | | | | | | | BETA: splitting (117) gives:
% 169.81/25.75  | | | | | | | 
% 169.81/25.75  | | | | | | | Case 1:
% 169.81/25.75  | | | | | | | | 
% 169.81/25.75  | | | | | | | |   (211)  all_56_2 = e0
% 169.81/25.75  | | | | | | | | 
% 169.81/25.75  | | | | | | | | COMBINE_EQS: (103), (211) imply:
% 169.81/25.75  | | | | | | | |   (212)  all_52_1 = e0
% 169.81/25.75  | | | | | | | | 
% 169.81/25.75  | | | | | | | | REDUCE: (109), (212) imply:
% 169.81/25.75  | | | | | | | |   (213)   ~ (all_52_2 = e0)
% 169.81/25.75  | | | | | | | | 
% 169.81/25.75  | | | | | | | | REDUCE: (137), (212) imply:
% 169.81/25.75  | | | | | | | |   (214)   ~ (all_52_9 = e0)
% 169.81/25.75  | | | | | | | | 
% 169.81/25.75  | | | | | | | | REDUCE: (54), (212) imply:
% 169.81/25.75  | | | | | | | |   (215)   ~ (all_6_2 = e0)
% 169.81/25.75  | | | | | | | | 
% 169.81/25.75  | | | | | | | | REDUCE: (86), (212) imply:
% 169.81/25.75  | | | | | | | |   (216)   ~ (all_4_2 = e0)
% 169.81/25.75  | | | | | | | | 
% 169.81/25.75  | | | | | | | | SIMP: (216) implies:
% 169.81/25.75  | | | | | | | |   (217)   ~ (all_4_2 = e0)
% 169.81/25.75  | | | | | | | | 
% 169.81/25.75  | | | | | | | | REF_CLOSE: (2), (3), (5), (7), (9), (10), (11), (13), (15),
% 169.81/25.75  | | | | | | | |            (16), (17), (18), (19), (21), (22), (26), (27), (29),
% 169.81/25.75  | | | | | | | |            (32), (34), (35), (38), (41), (43), (45), (46), (47),
% 169.81/25.75  | | | | | | | |            (50), (52), (53), (54), (55), (56), (57), (58), (59),
% 169.81/25.75  | | | | | | | |            (60), (62), (63), (68), (69), (70), (74), (75), (76),
% 169.81/25.75  | | | | | | | |            (77), (78), (80), (81), (82), (85), (86), (87), (91),
% 169.81/25.75  | | | | | | | |            (92), (94), (95), (96), (97), (98), (100), (103),
% 169.81/25.75  | | | | | | | |            (105), (106), (107), (108), (111), (112), (114),
% 169.81/25.75  | | | | | | | |            (115), (116), (117), (118), (119), (124), (125),
% 169.81/25.75  | | | | | | | |            (126), (128), (130), (131), (132), (133), (135),
% 169.81/25.75  | | | | | | | |            (136), (137), (139), (140), (141), (144), (147),
% 169.81/25.75  | | | | | | | |            (148), (149), (150), (151), (153), (154), (156),
% 169.81/25.75  | | | | | | | |            (158), (159), (161), (162), (163), (164), (166),
% 169.81/25.75  | | | | | | | |            (168), (170), (171), (172), (175), (176), (177),
% 169.81/25.75  | | | | | | | |            (180), (183), (185), (190), (203), (206), (217) are
% 169.81/25.75  | | | | | | | |            inconsistent by sub-proof #313.
% 169.81/25.75  | | | | | | | | 
% 169.81/25.75  | | | | | | | Case 2:
% 169.81/25.75  | | | | | | | | 
% 169.81/25.75  | | | | | | | |   (218)   ~ (all_56_2 = e0)
% 169.81/25.75  | | | | | | | |   (219)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.81/25.75  | | | | | | | | 
% 169.81/25.75  | | | | | | | | REDUCE: (103), (218) imply:
% 169.81/25.75  | | | | | | | |   (220)   ~ (all_52_1 = e0)
% 169.81/25.75  | | | | | | | | 
% 169.81/25.75  | | | | | | | | BETA: splitting (210) gives:
% 169.81/25.75  | | | | | | | | 
% 169.81/25.75  | | | | | | | | Case 1:
% 169.81/25.75  | | | | | | | | | 
% 169.81/25.75  | | | | | | | | |   (221)  all_56_2 = e0
% 169.81/25.75  | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | COMBINE_EQS: (103), (221) imply:
% 169.81/25.75  | | | | | | | | |   (222)  all_52_1 = e0
% 169.81/25.75  | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | REDUCE: (220), (222) imply:
% 169.81/25.75  | | | | | | | | |   (223)  $false
% 169.81/25.75  | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | CLOSE: (223) is inconsistent.
% 169.81/25.75  | | | | | | | | | 
% 169.81/25.75  | | | | | | | | Case 2:
% 169.81/25.75  | | | | | | | | | 
% 169.81/25.75  | | | | | | | | |   (224)  all_56_6 = e0 | all_56_12 = e0
% 169.81/25.75  | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | BETA: splitting (224) gives:
% 169.81/25.75  | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | Case 1:
% 169.81/25.75  | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | |   (225)  all_56_6 = e0
% 169.81/25.75  | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | COMBINE_EQS: (136), (225) imply:
% 169.81/25.75  | | | | | | | | | |   (226)  all_52_2 = e0
% 169.81/25.75  | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | REDUCE: (81), (226) imply:
% 169.81/25.75  | | | | | | | | | |   (227)  $false
% 169.81/25.75  | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | CLOSE: (227) is inconsistent.
% 169.81/25.75  | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | Case 2:
% 169.81/25.75  | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | |   (228)  all_56_12 = e0
% 169.81/25.75  | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | COMBINE_EQS: (5), (228) imply:
% 169.81/25.75  | | | | | | | | | |   (229)  all_52_3 = e0
% 169.81/25.75  | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | SIMP: (229) implies:
% 169.81/25.75  | | | | | | | | | |   (230)  all_52_3 = e0
% 169.81/25.75  | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | REDUCE: (164), (230) imply:
% 169.81/25.75  | | | | | | | | | |   (231)   ~ (all_10_1 = e0)
% 169.81/25.75  | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | REDUCE: (52), (230) imply:
% 169.81/25.75  | | | | | | | | | |   (232)   ~ (all_6_2 = e0)
% 169.81/25.75  | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | REDUCE: (43), (230) imply:
% 169.81/25.75  | | | | | | | | | |   (233)  op(e0, e0) = all_58_12
% 169.81/25.75  | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | GROUND_INST: instantiating (153) with all_14_2, all_58_12, e0,
% 169.81/25.75  | | | | | | | | | |              e0, simplifying with (2), (233) gives:
% 169.81/25.75  | | | | | | | | | |   (234)  all_58_12 = all_14_2
% 169.81/25.75  | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | BETA: splitting (96) gives:
% 169.81/25.75  | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | Case 1:
% 169.81/25.75  | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | |   (235)  all_56_1 = e0
% 169.81/25.75  | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | COMBINE_EQS: (3), (235) imply:
% 169.81/25.75  | | | | | | | | | | |   (236)  all_52_4 = e0
% 169.81/25.75  | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | COMBINE_EQS: (124), (236) imply:
% 169.81/25.75  | | | | | | | | | | |   (237)  all_58_20 = e0
% 169.81/25.75  | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | REDUCE: (75), (236) imply:
% 169.81/25.75  | | | | | | | | | | |   (238)   ~ (all_52_7 = e0)
% 169.81/25.75  | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | SIMP: (238) implies:
% 169.81/25.75  | | | | | | | | | | |   (239)   ~ (all_52_7 = e0)
% 169.81/25.75  | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | REDUCE: (149), (236) imply:
% 169.81/25.75  | | | | | | | | | | |   (240)   ~ (all_52_8 = e0)
% 169.81/25.75  | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | REDUCE: (15), (236) imply:
% 169.81/25.75  | | | | | | | | | | |   (241)   ~ (all_4_2 = e0)
% 169.81/25.75  | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | SIMP: (241) implies:
% 169.81/25.75  | | | | | | | | | | |   (242)   ~ (all_4_2 = e0)
% 169.81/25.75  | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | REDUCE: (29), (236) imply:
% 169.81/25.75  | | | | | | | | | | |   (243)  op(e3, e0) = all_58_1
% 169.81/25.75  | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | REF_CLOSE: (2), (9), (10), (11), (13), (17), (18), (19),
% 169.81/25.75  | | | | | | | | | | |            (21), (22), (27), (32), (34), (41), (46), (47),
% 169.81/25.75  | | | | | | | | | | |            (50), (53), (54), (55), (56), (57), (58), (59),
% 169.81/25.75  | | | | | | | | | | |            (60), (62), (68), (70), (74), (76), (77), (78),
% 169.81/25.75  | | | | | | | | | | |            (85), (86), (91), (92), (95), (98), (103), (105),
% 169.81/25.75  | | | | | | | | | | |            (106), (107), (108), (111), (114), (115), (116),
% 169.81/25.75  | | | | | | | | | | |            (118), (125), (126), (130), (131), (133), (136),
% 169.81/25.75  | | | | | | | | | | |            (139), (140), (141), (144), (147), (150), (151),
% 169.81/25.75  | | | | | | | | | | |            (153), (158), (159), (161), (163), (166), (168),
% 169.81/25.75  | | | | | | | | | | |            (170), (171), (172), (176), (180), (183), (185),
% 169.81/25.75  | | | | | | | | | | |            (190), (206), (219), (228), (233), (237), (239),
% 169.81/25.75  | | | | | | | | | | |            (242), (243) are inconsistent by sub-proof #318.
% 169.81/25.75  | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | Case 2:
% 169.81/25.75  | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | |   (244)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 169.81/25.75  | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | REF_CLOSE: (4), (5), (28), (35), (58), (81), (98), (103),
% 169.81/25.75  | | | | | | | | | | |            (115), (128), (136), (144), (153), (154), (170),
% 169.81/25.75  | | | | | | | | | | |            (185), (220), (244) are inconsistent by sub-proof
% 169.81/25.75  | | | | | | | | | | |            #116.
% 169.81/25.75  | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | End of split
% 169.81/25.75  | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | End of split
% 169.81/25.75  | | | | | | | | | 
% 169.81/25.75  | | | | | | | | End of split
% 169.81/25.75  | | | | | | | | 
% 169.81/25.75  | | | | | | | End of split
% 169.81/25.75  | | | | | | | 
% 169.81/25.75  | | | | | | End of split
% 169.81/25.75  | | | | | | 
% 169.81/25.75  | | | | | End of split
% 169.81/25.75  | | | | | 
% 169.81/25.75  | | | | End of split
% 169.81/25.75  | | | | 
% 169.81/25.75  | | | Case 2:
% 169.81/25.75  | | | | 
% 169.81/25.75  | | | |   (245)  all_48_2 = e1
% 169.81/25.75  | | | | 
% 169.81/25.75  | | | | COMBINE_EQS: (44), (245) imply:
% 169.81/25.75  | | | |   (246)  all_14_2 = e1
% 169.81/25.75  | | | | 
% 169.81/25.75  | | | | SIMP: (246) implies:
% 169.81/25.75  | | | |   (247)  all_14_2 = e1
% 169.81/25.75  | | | | 
% 169.81/25.75  | | | | COMBINE_EQS: (27), (247) imply:
% 169.81/25.75  | | | |   (248)  all_56_15 = e1
% 169.81/25.75  | | | | 
% 169.81/25.75  | | | | COMBINE_EQS: (50), (247) imply:
% 169.81/25.75  | | | |   (249)  all_58_31 = e1
% 169.81/25.75  | | | | 
% 169.81/25.75  | | | | REDUCE: (14), (247) imply:
% 169.81/25.75  | | | |   (250)   ~ (all_52_3 = e1)
% 169.81/25.75  | | | | 
% 169.81/25.75  | | | | REDUCE: (82), (247) imply:
% 169.81/25.75  | | | |   (251)   ~ (all_52_7 = e1)
% 169.81/25.75  | | | | 
% 169.81/25.75  | | | | REDUCE: (1), (247) imply:
% 169.81/25.75  | | | |   (252)   ~ (all_52_12 = e1)
% 169.81/25.75  | | | | 
% 169.81/25.75  | | | | REDUCE: (85), (247) imply:
% 169.81/25.75  | | | |   (253)   ~ (all_52_13 = e1)
% 169.81/25.75  | | | | 
% 169.81/25.75  | | | | REDUCE: (150), (247) imply:
% 169.81/25.75  | | | |   (254)   ~ (all_52_14 = e1)
% 169.81/25.75  | | | | 
% 169.81/25.75  | | | | REDUCE: (142), (247) imply:
% 169.81/25.75  | | | |   (255)  op(e1, e0) = all_14_1
% 169.81/25.75  | | | | 
% 169.81/25.75  | | | | GROUND_INST: instantiating (153) with all_52_14, all_14_1, e0, e1,
% 169.81/25.75  | | | |              simplifying with (26), (255) gives:
% 169.81/25.75  | | | |   (256)  all_52_14 = all_14_1
% 169.81/25.75  | | | | 
% 169.81/25.75  | | | | COMBINE_EQS: (181), (256) imply:
% 169.81/25.75  | | | |   (257)  all_54_11 = all_14_1
% 169.81/25.75  | | | | 
% 169.81/25.75  | | | | COMBINE_EQS: (56), (256) imply:
% 169.81/25.75  | | | |   (258)  all_56_11 = all_14_1
% 169.81/25.75  | | | | 
% 169.81/25.75  | | | | COMBINE_EQS: (60), (256) imply:
% 169.81/25.75  | | | |   (259)  all_58_30 = all_14_1
% 169.81/25.75  | | | | 
% 169.81/25.75  | | | | REDUCE: (156), (256) imply:
% 169.81/25.75  | | | |   (260)   ~ (all_52_2 = all_14_1)
% 169.81/25.75  | | | | 
% 169.81/25.75  | | | | REDUCE: (114), (256) imply:
% 169.81/25.75  | | | |   (261)   ~ (all_52_6 = all_14_1)
% 169.81/25.75  | | | | 
% 169.81/25.75  | | | | REDUCE: (140), (256) imply:
% 169.81/25.75  | | | |   (262)   ~ (all_52_12 = all_14_1)
% 169.81/25.75  | | | | 
% 169.81/25.75  | | | | REDUCE: (92), (256) imply:
% 169.81/25.75  | | | |   (263)   ~ (all_52_13 = all_14_1)
% 169.81/25.75  | | | | 
% 169.81/25.75  | | | | REDUCE: (254), (256) imply:
% 169.81/25.75  | | | |   (264)   ~ (all_14_1 = e1)
% 169.81/25.75  | | | | 
% 169.81/25.75  | | | | REDUCE: (165), (256) imply:
% 169.81/25.75  | | | |   (265)   ~ (all_14_1 = e0)
% 169.81/25.75  | | | | 
% 169.81/25.75  | | | | BETA: splitting (40) gives:
% 169.81/25.75  | | | | 
% 169.81/25.75  | | | | Case 1:
% 169.81/25.75  | | | | | 
% 169.81/25.75  | | | | |   (266)  all_54_11 = e0
% 169.81/25.75  | | | | | 
% 169.81/25.75  | | | | | COMBINE_EQS: (257), (266) imply:
% 169.81/25.75  | | | | |   (267)  all_14_1 = e0
% 169.81/25.75  | | | | | 
% 169.81/25.75  | | | | | REDUCE: (265), (267) imply:
% 169.81/25.75  | | | | |   (268)  $false
% 169.81/25.75  | | | | | 
% 169.81/25.75  | | | | | CLOSE: (268) is inconsistent.
% 169.81/25.75  | | | | | 
% 169.81/25.75  | | | | Case 2:
% 169.81/25.75  | | | | | 
% 169.81/25.75  | | | | |   (269)   ~ (all_54_11 = e0)
% 169.81/25.75  | | | | |   (270)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 169.81/25.75  | | | | | 
% 169.81/25.75  | | | | | BETA: splitting (135) gives:
% 169.81/25.75  | | | | | 
% 169.81/25.75  | | | | | Case 1:
% 169.81/25.75  | | | | | | 
% 169.81/25.75  | | | | | |   (271)  all_56_0 = e0
% 169.81/25.75  | | | | | | 
% 169.81/25.75  | | | | | | COMBINE_EQS: (58), (271) imply:
% 169.81/25.75  | | | | | |   (272)  all_6_2 = e0
% 169.81/25.75  | | | | | | 
% 169.81/25.75  | | | | | | REDUCE: (185), (272) imply:
% 169.81/25.75  | | | | | |   (273)  $false
% 169.81/25.75  | | | | | | 
% 169.81/25.75  | | | | | | CLOSE: (273) is inconsistent.
% 169.81/25.75  | | | | | | 
% 169.81/25.75  | | | | | Case 2:
% 169.81/25.75  | | | | | | 
% 169.81/25.75  | | | | | |   (274)   ~ (all_56_0 = e0)
% 169.81/25.75  | | | | | |   (275)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 169.81/25.75  | | | | | | 
% 169.81/25.75  | | | | | | BETA: splitting (128) gives:
% 169.81/25.75  | | | | | | 
% 169.81/25.75  | | | | | | Case 1:
% 169.81/25.75  | | | | | | | 
% 169.81/25.75  | | | | | | |   (276)  all_56_0 = e0
% 169.81/25.75  | | | | | | | 
% 169.81/25.75  | | | | | | | COMBINE_EQS: (58), (276) imply:
% 169.81/25.75  | | | | | | |   (277)  all_6_2 = e0
% 169.81/25.75  | | | | | | | 
% 169.81/25.75  | | | | | | | REDUCE: (185), (277) imply:
% 169.81/25.75  | | | | | | |   (278)  $false
% 169.81/25.75  | | | | | | | 
% 169.81/25.75  | | | | | | | CLOSE: (278) is inconsistent.
% 169.81/25.75  | | | | | | | 
% 169.81/25.75  | | | | | | Case 2:
% 169.81/25.75  | | | | | | | 
% 169.81/25.75  | | | | | | |   (279)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 169.81/25.75  | | | | | | | 
% 169.81/25.75  | | | | | | | BETA: splitting (152) gives:
% 169.81/25.75  | | | | | | | 
% 169.81/25.75  | | | | | | | Case 1:
% 169.81/25.75  | | | | | | | | 
% 169.81/25.75  | | | | | | | |   (280)  all_54_9 = e0
% 169.81/25.75  | | | | | | | | 
% 169.81/25.75  | | | | | | | | COMBINE_EQS: (90), (280) imply:
% 169.81/25.75  | | | | | | | |   (281)  all_52_6 = e0
% 169.81/25.75  | | | | | | | | 
% 169.81/25.75  | | | | | | | | REDUCE: (154), (281) imply:
% 169.81/25.75  | | | | | | | |   (282)  $false
% 169.81/25.75  | | | | | | | | 
% 169.81/25.75  | | | | | | | | CLOSE: (282) is inconsistent.
% 169.81/25.75  | | | | | | | | 
% 169.81/25.75  | | | | | | | Case 2:
% 169.81/25.75  | | | | | | | | 
% 169.81/25.75  | | | | | | | |   (283)   ~ (all_54_9 = e0)
% 169.81/25.75  | | | | | | | |   (284)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 169.81/25.75  | | | | | | | | 
% 169.81/25.75  | | | | | | | | BETA: splitting (8) gives:
% 169.81/25.75  | | | | | | | | 
% 169.81/25.75  | | | | | | | | Case 1:
% 169.81/25.75  | | | | | | | | | 
% 169.81/25.75  | | | | | | | | |   (285)  all_54_0 = e0
% 169.81/25.75  | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | REF_CLOSE: (146), (185), (285) are inconsistent by sub-proof
% 169.81/25.75  | | | | | | | | |            #984.
% 169.81/25.75  | | | | | | | | | 
% 169.81/25.75  | | | | | | | | Case 2:
% 169.81/25.75  | | | | | | | | | 
% 169.81/25.75  | | | | | | | | |   (286)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 169.81/25.75  | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | BETA: splitting (61) gives:
% 169.81/25.75  | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | Case 1:
% 169.81/25.75  | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | |   (287)  all_56_6 = e1
% 169.81/25.75  | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | COMBINE_EQS: (136), (287) imply:
% 169.81/25.75  | | | | | | | | | |   (288)  all_52_2 = e1
% 169.81/25.75  | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | REDUCE: (148), (288) imply:
% 169.81/25.75  | | | | | | | | | |   (289)   ~ (all_52_3 = e1)
% 169.81/25.75  | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | REDUCE: (71), (288) imply:
% 169.81/25.75  | | | | | | | | | |   (290)   ~ (all_52_6 = e1)
% 169.81/25.75  | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | SIMP: (290) implies:
% 169.81/25.75  | | | | | | | | | |   (291)   ~ (all_52_6 = e1)
% 169.81/25.75  | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | REDUCE: (260), (288) imply:
% 169.81/25.75  | | | | | | | | | |   (292)   ~ (all_14_1 = e1)
% 169.81/25.75  | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | REDUCE: (13), (288) imply:
% 169.81/25.75  | | | | | | | | | |   (293)   ~ (all_6_2 = e1)
% 169.81/25.75  | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | SIMP: (293) implies:
% 169.81/25.75  | | | | | | | | | |   (294)   ~ (all_6_2 = e1)
% 169.81/25.75  | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | BETA: splitting (32) gives:
% 169.81/25.75  | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | Case 1:
% 169.81/25.75  | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | |   (295)  all_54_3 = e0
% 169.81/25.75  | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | COMBINE_EQS: (17), (295) imply:
% 169.81/25.75  | | | | | | | | | | |   (296)  all_52_12 = e0
% 169.81/25.75  | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | SIMP: (296) implies:
% 169.81/25.75  | | | | | | | | | | |   (297)  all_52_12 = e0
% 169.81/25.75  | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | COMBINE_EQS: (166), (297) imply:
% 169.81/25.75  | | | | | | | | | | |   (298)  all_58_28 = e0
% 169.81/25.75  | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | REDUCE: (183), (297) imply:
% 169.81/25.75  | | | | | | | | | | |   (299)   ~ (all_52_13 = e0)
% 169.81/25.75  | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | SIMP: (299) implies:
% 169.81/25.75  | | | | | | | | | | |   (300)   ~ (all_52_13 = e0)
% 169.81/25.75  | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | REDUCE: (262), (297) imply:
% 169.81/25.75  | | | | | | | | | | |   (301)   ~ (all_14_1 = e0)
% 169.81/25.75  | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | REDUCE: (21), (297) imply:
% 169.81/25.75  | | | | | | | | | | |   (302)   ~ (all_6_2 = e0)
% 169.81/25.75  | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | REDUCE: (252), (297) imply:
% 169.81/25.75  | | | | | | | | | | |   (303)   ~ (e1 = e0)
% 169.81/25.75  | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | BETA: splitting (46) gives:
% 169.81/25.75  | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | Case 1:
% 169.81/25.75  | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | |   (304)  all_58_31 = e0
% 169.81/25.75  | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | COMBINE_EQS: (249), (304) imply:
% 169.81/25.75  | | | | | | | | | | | |   (305)  e1 = e0
% 169.81/25.75  | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | REDUCE: (168), (305) imply:
% 169.81/25.75  | | | | | | | | | | | |   (306)  $false
% 169.81/25.75  | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | CLOSE: (306) is inconsistent.
% 169.81/25.75  | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | Case 2:
% 169.81/25.75  | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | |   (307)   ~ (all_58_31 = e0)
% 169.81/25.75  | | | | | | | | | | | |   (308)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 169.81/25.75  | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | BETA: splitting (308) gives:
% 169.81/25.75  | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | Case 1:
% 169.81/25.75  | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | |   (309)  all_58_30 = e1
% 169.81/25.75  | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | COMBINE_EQS: (259), (309) imply:
% 169.81/25.75  | | | | | | | | | | | | |   (310)  all_14_1 = e1
% 169.81/25.75  | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | REDUCE: (264), (310) imply:
% 169.81/25.75  | | | | | | | | | | | | |   (311)  $false
% 169.81/25.75  | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | CLOSE: (311) is inconsistent.
% 169.81/25.75  | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | Case 2:
% 169.81/25.75  | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | |   (312)   ~ (all_58_30 = e1)
% 169.81/25.75  | | | | | | | | | | | | |   (313)  all_58_28 = e3 | all_58_29 = e2
% 169.81/25.75  | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | BETA: splitting (313) gives:
% 169.81/25.75  | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | Case 1:
% 169.81/25.75  | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | |   (314)  all_58_29 = e2
% 169.81/25.75  | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | COMBINE_EQS: (108), (314) imply:
% 169.81/25.75  | | | | | | | | | | | | | |   (315)  all_52_13 = e2
% 169.81/25.75  | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | REDUCE: (51), (315) imply:
% 169.81/25.75  | | | | | | | | | | | | | |   (316)   ~ (all_52_9 = e2)
% 169.81/25.75  | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | REDUCE: (263), (315) imply:
% 169.81/25.75  | | | | | | | | | | | | | |   (317)   ~ (all_14_1 = e2)
% 169.81/25.75  | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | SIMP: (317) implies:
% 169.81/25.75  | | | | | | | | | | | | | |   (318)   ~ (all_14_1 = e2)
% 169.81/25.75  | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | BETA: splitting (111) gives:
% 169.81/25.75  | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | Case 1:
% 169.81/25.75  | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | |   (319)  all_56_6 = e2
% 169.81/25.75  | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | COMBINE_EQS: (287), (319) imply:
% 169.81/25.75  | | | | | | | | | | | | | | |   (320)  e2 = e1
% 169.81/25.75  | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | SIMP: (320) implies:
% 169.81/25.75  | | | | | | | | | | | | | | |   (321)  e2 = e1
% 169.81/25.75  | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | COMBINE_EQS: (314), (321) imply:
% 169.81/25.75  | | | | | | | | | | | | | | |   (322)  all_58_29 = e1
% 169.81/25.75  | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | REF_CLOSE: (60), (76), (106), (254), (298), (308), (322) are
% 169.81/25.75  | | | | | | | | | | | | | | |            inconsistent by sub-proof #856.
% 169.81/25.75  | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | Case 2:
% 169.81/25.75  | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | |   (323)  all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 169.81/25.75  | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | BETA: splitting (323) gives:
% 169.81/25.75  | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | Case 1:
% 169.81/25.75  | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | |   (324)  all_56_7 = e2
% 169.81/25.75  | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | COMBINE_EQS: (170), (324) imply:
% 169.81/25.75  | | | | | | | | | | | | | | | |   (325)  all_52_6 = e2
% 169.81/25.75  | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | REDUCE: (57), (325) imply:
% 169.81/25.75  | | | | | | | | | | | | | | | |   (326)   ~ (all_52_7 = e2)
% 169.81/25.75  | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | SIMP: (326) implies:
% 169.81/25.75  | | | | | | | | | | | | | | | |   (327)   ~ (all_52_7 = e2)
% 169.81/25.75  | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | BETA: splitting (59) gives:
% 169.81/25.75  | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | Case 1:
% 169.81/25.75  | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | |   (328)  all_58_27 = e0
% 169.81/25.75  | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | COMBINE_EQS: (147), (328) imply:
% 169.81/25.75  | | | | | | | | | | | | | | | | |   (329)  all_10_1 = e0
% 169.81/25.75  | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | REDUCE: (180), (329) imply:
% 169.81/25.75  | | | | | | | | | | | | | | | | |   (330)  $false
% 169.81/25.75  | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | CLOSE: (330) is inconsistent.
% 169.81/25.75  | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | Case 2:
% 169.81/25.75  | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | |   (331)   ~ (all_58_27 = e0)
% 169.81/25.75  | | | | | | | | | | | | | | | | |   (332)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 169.81/25.75  | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 169.81/25.75  | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | Case 1:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | |   (333)  all_58_26 = e1
% 169.81/25.75  | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | REF_CLOSE: (77), (168), (333) are inconsistent by sub-proof
% 169.81/25.75  | | | | | | | | | | | | | | | | | |            #312.
% 169.81/25.75  | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | Case 2:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | |   (334)  all_58_24 = e3 | all_58_25 = e2
% 169.81/25.75  | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | Case 1:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | |   (335)  all_58_25 = e2
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (151), (335) imply:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | |   (336)  all_52_9 = e2
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | REDUCE: (316), (336) imply:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | |   (337)  $false
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | CLOSE: (337) is inconsistent.
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | Case 2:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | |   (338)  all_58_24 = e3
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (139), (338) imply:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | |   (339)  all_52_8 = e3
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | REDUCE: (133), (339) imply:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | |   (340)   ~ (all_6_2 = e3)
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | SIMP: (340) implies:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | |   (341)   ~ (all_6_2 = e3)
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | Case 1:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | |   (342)  all_58_23 = e0
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11), (342) imply:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | |   (343)  all_52_7 = e0
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | REDUCE: (115), (343) imply:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | |   (344)   ~ (all_4_2 = e0)
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | SIMP: (344) implies:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | |   (345)   ~ (all_4_2 = e0)
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | REDUCE: (327), (343) imply:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | |   (346)   ~ (e2 = e0)
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (6), (9), (11), (15), (16), (18), (24),
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | |            (30), (34), (35), (37), (38), (39), (41), (46),
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | |            (47), (49), (51), (52), (53), (57), (58), (59),
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | |            (63), (68), (69), (70), (71), (75), (77), (78),
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | |            (81), (87), (89), (90), (94), (95), (96), (97),
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | |            (98), (101), (103), (105), (106), (108), (109),
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | |            (110), (115), (116), (117), (118), (119), (121),
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | |            (122), (124), (125), (128), (131), (132), (134),
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | |            (136), (137), (139), (141), (143), (144), (145),
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | |            (147), (148), (151), (152), (154), (158), (159),
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | |            (161), (162), (163), (164), (166), (167), (168),
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | |            (169), (170), (177), (178), (180), (182), (183),
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | |            (185), (248), (249), (251), (252), (253), (257),
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | |            (258), (259), (260), (262), (263), (264), (265),
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | |            (270), (345) are inconsistent by sub-proof #284.
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | Case 2:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | |   (347)   ~ (all_58_23 = e0)
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (347) imply:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | |   (348)   ~ (all_52_7 = e0)
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | |   (349)  all_54_13 = e0
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (125), (348), (349) are inconsistent by sub-proof
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | |            #800.
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | |   (350)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (350) gives:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | |   (351)  all_54_13 = e1
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (125), (251), (351) are inconsistent by sub-proof
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | |            #338.
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | |   (352)  all_54_13 = e3 | all_54_13 = e2
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (352) gives:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | |   (353)  all_54_13 = e2
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (125), (327), (353) are inconsistent by sub-proof
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | |            #771.
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | |   (354)  all_54_13 = e3
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (125), (354) imply:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | |   (355)  all_52_7 = e3
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (355) implies:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | |   (356)  all_52_7 = e3
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (356) imply:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | |   (357)   ~ (all_52_3 = e3)
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (123) gives:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | |   (358)  all_54_12 = e0
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (155), (358) imply:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | |   (359)  all_52_3 = e0
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (359) implies:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | |   (360)  all_52_3 = e0
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (360) imply:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | |   (361)   ~ (all_52_1 = e0)
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18), (28), (47), (103), (115), (117), (144),
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | |            (153), (159), (300), (361) are inconsistent by
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #126.
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | |   (362)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (52), (146), (155), (250), (286), (294), (341),
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | |            (357), (362) are inconsistent by sub-proof #807.
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | End of split
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | End of split
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | End of split
% 169.81/25.75  | | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | End of split
% 169.81/25.75  | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | End of split
% 169.81/25.75  | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | End of split
% 169.81/25.75  | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | Case 2:
% 169.81/25.75  | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | |   (363)   ~ (all_56_7 = e2)
% 169.81/25.75  | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | REDUCE: (170), (363) imply:
% 169.81/25.75  | | | | | | | | | | | | | | | |   (364)   ~ (all_52_6 = e2)
% 169.81/25.75  | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 169.81/25.75  | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | Case 1:
% 169.81/25.75  | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | |   (365)  all_54_11 = e1
% 169.81/25.75  | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (365) imply:
% 169.81/25.75  | | | | | | | | | | | | | | | | |   (366)  all_14_1 = e1
% 169.81/25.75  | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | REDUCE: (264), (366) imply:
% 169.81/25.75  | | | | | | | | | | | | | | | | |   (367)  $false
% 169.81/25.75  | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | CLOSE: (367) is inconsistent.
% 169.81/25.75  | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | Case 2:
% 169.81/25.75  | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | |   (368)  all_54_11 = e3 | all_54_11 = e2
% 169.81/25.75  | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | BETA: splitting (368) gives:
% 169.81/25.75  | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | Case 1:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | |   (369)  all_54_11 = e2
% 169.81/25.75  | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (369) imply:
% 169.81/25.75  | | | | | | | | | | | | | | | | | |   (370)  all_14_1 = e2
% 169.81/25.75  | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | REDUCE: (318), (370) imply:
% 169.81/25.75  | | | | | | | | | | | | | | | | | |   (371)  $false
% 169.81/25.75  | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | CLOSE: (371) is inconsistent.
% 169.81/25.75  | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | Case 2:
% 169.81/25.75  | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | |   (372)  all_54_11 = e3
% 169.81/25.75  | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (372) imply:
% 169.81/25.75  | | | | | | | | | | | | | | | | | |   (373)  all_14_1 = e3
% 169.81/25.75  | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | REDUCE: (261), (373) imply:
% 169.81/25.75  | | | | | | | | | | | | | | | | | |   (374)   ~ (all_52_6 = e3)
% 169.81/25.75  | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | | REF_CLOSE: (90), (284), (291), (364), (374) are inconsistent
% 169.81/25.75  | | | | | | | | | | | | | | | | | |            by sub-proof #861.
% 169.81/25.75  | | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | | End of split
% 169.81/25.75  | | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | | End of split
% 169.81/25.75  | | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | | End of split
% 169.81/25.75  | | | | | | | | | | | | | | | 
% 169.81/25.75  | | | | | | | | | | | | | | End of split
% 169.81/25.76  | | | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | | Case 2:
% 169.81/25.76  | | | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | | |   (375)  all_58_28 = e3
% 169.81/25.76  | | | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | | | REF_CLOSE: (106), (298), (375) are inconsistent by sub-proof
% 169.81/25.76  | | | | | | | | | | | | | |            #857.
% 169.81/25.76  | | | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | | End of split
% 169.81/25.76  | | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | End of split
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | End of split
% 169.81/25.76  | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | Case 2:
% 169.81/25.76  | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | |   (376)   ~ (all_54_3 = e0)
% 169.81/25.76  | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | REDUCE: (17), (376) imply:
% 169.81/25.76  | | | | | | | | | | |   (377)   ~ (all_52_12 = e0)
% 169.81/25.76  | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | BETA: splitting (275) gives:
% 169.81/25.76  | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | Case 1:
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | |   (378)  all_56_1 = e0
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | COMBINE_EQS: (3), (378) imply:
% 169.81/25.76  | | | | | | | | | | | |   (379)  all_52_4 = e0
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | REDUCE: (49), (379) imply:
% 169.81/25.76  | | | | | | | | | | | |   (380)   ~ (all_52_6 = e0)
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | REDUCE: (102), (379) imply:
% 169.81/25.76  | | | | | | | | | | | |   (381)   ~ (all_6_2 = e0)
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | REDUCE: (15), (379) imply:
% 169.81/25.76  | | | | | | | | | | | |   (382)   ~ (all_4_2 = e0)
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | SIMP: (382) implies:
% 169.81/25.76  | | | | | | | | | | | |   (383)   ~ (all_4_2 = e0)
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | REF_CLOSE: (3), (5), (6), (9), (11), (15), (16), (18), (24),
% 169.81/25.76  | | | | | | | | | | | |            (30), (34), (35), (37), (38), (39), (41), (46),
% 169.81/25.76  | | | | | | | | | | | |            (47), (49), (51), (52), (53), (57), (58), (59),
% 169.81/25.76  | | | | | | | | | | | |            (63), (68), (69), (70), (71), (75), (77), (78),
% 169.81/25.76  | | | | | | | | | | | |            (81), (87), (89), (90), (94), (95), (96), (97),
% 169.81/25.76  | | | | | | | | | | | |            (98), (101), (103), (105), (106), (108), (109),
% 169.81/25.76  | | | | | | | | | | | |            (110), (115), (116), (117), (118), (119), (121),
% 169.81/25.76  | | | | | | | | | | | |            (122), (124), (125), (128), (131), (132), (134),
% 169.81/25.76  | | | | | | | | | | | |            (136), (137), (139), (141), (143), (144), (145),
% 169.81/25.76  | | | | | | | | | | | |            (147), (148), (151), (152), (154), (158), (159),
% 169.81/25.76  | | | | | | | | | | | |            (161), (162), (163), (164), (166), (167), (168),
% 169.81/25.76  | | | | | | | | | | | |            (169), (170), (177), (178), (180), (182), (183),
% 169.81/25.76  | | | | | | | | | | | |            (185), (248), (249), (251), (252), (253), (257),
% 169.81/25.76  | | | | | | | | | | | |            (258), (259), (260), (262), (263), (264), (265),
% 169.81/25.76  | | | | | | | | | | | |            (270), (383) are inconsistent by sub-proof #284.
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | Case 2:
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | |   (384)  all_56_4 = e0 | all_56_9 = e0
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | REF_CLOSE: (70), (116), (172), (377), (384) are inconsistent
% 169.81/25.76  | | | | | | | | | | | |            by sub-proof #563.
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | End of split
% 169.81/25.76  | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | End of split
% 169.81/25.76  | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | Case 2:
% 169.81/25.76  | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | |   (385)  all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 169.81/25.76  | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | BETA: splitting (385) gives:
% 169.81/25.76  | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | Case 1:
% 169.81/25.76  | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | |   (386)  all_56_7 = e1
% 169.81/25.76  | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | COMBINE_EQS: (170), (386) imply:
% 169.81/25.76  | | | | | | | | | | |   (387)  all_52_6 = e1
% 169.81/25.76  | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | REDUCE: (71), (387) imply:
% 169.81/25.76  | | | | | | | | | | |   (388)   ~ (all_52_2 = e1)
% 169.81/25.76  | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | REDUCE: (49), (387) imply:
% 169.81/25.76  | | | | | | | | | | |   (389)   ~ (all_52_4 = e1)
% 169.81/25.76  | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | REDUCE: (57), (387) imply:
% 169.81/25.76  | | | | | | | | | | |   (390)   ~ (all_52_7 = e1)
% 169.81/25.76  | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | REDUCE: (261), (387) imply:
% 169.81/25.76  | | | | | | | | | | |   (391)   ~ (all_14_1 = e1)
% 169.81/25.76  | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | BETA: splitting (123) gives:
% 169.81/25.76  | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | Case 1:
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | |   (392)  all_54_12 = e0
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | COMBINE_EQS: (155), (392) imply:
% 169.81/25.76  | | | | | | | | | | | |   (393)  all_52_3 = e0
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | REDUCE: (162), (393) imply:
% 169.81/25.76  | | | | | | | | | | | |   (394)   ~ (all_52_1 = e0)
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | REDUCE: (164), (393) imply:
% 169.81/25.76  | | | | | | | | | | | |   (395)   ~ (all_10_1 = e0)
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | REDUCE: (52), (393) imply:
% 169.81/25.76  | | | | | | | | | | | |   (396)   ~ (all_6_2 = e0)
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | BETA: splitting (96) gives:
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | Case 1:
% 169.81/25.76  | | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | |   (397)  all_56_1 = e0
% 169.81/25.76  | | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | | COMBINE_EQS: (3), (397) imply:
% 169.81/25.76  | | | | | | | | | | | | |   (398)  all_52_4 = e0
% 169.81/25.76  | | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | | REDUCE: (15), (398) imply:
% 169.81/25.76  | | | | | | | | | | | | |   (399)   ~ (all_4_2 = e0)
% 169.81/25.76  | | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | | SIMP: (399) implies:
% 169.81/25.76  | | | | | | | | | | | | |   (400)   ~ (all_4_2 = e0)
% 169.81/25.76  | | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | | REDUCE: (389), (398) imply:
% 169.81/25.76  | | | | | | | | | | | | |   (401)   ~ (e1 = e0)
% 169.81/25.76  | | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | | REF_CLOSE: (3), (5), (6), (9), (11), (15), (16), (18), (24),
% 169.81/25.76  | | | | | | | | | | | | |            (30), (34), (35), (37), (38), (39), (41), (46),
% 169.81/25.76  | | | | | | | | | | | | |            (47), (49), (51), (52), (53), (57), (58), (59),
% 169.81/25.76  | | | | | | | | | | | | |            (63), (68), (69), (70), (71), (75), (77), (78),
% 169.81/25.76  | | | | | | | | | | | | |            (81), (87), (89), (90), (94), (95), (96), (97),
% 169.81/25.76  | | | | | | | | | | | | |            (98), (101), (103), (105), (106), (108), (109),
% 169.81/25.76  | | | | | | | | | | | | |            (110), (115), (116), (117), (118), (119), (121),
% 169.81/25.76  | | | | | | | | | | | | |            (122), (124), (125), (128), (131), (132), (134),
% 169.81/25.76  | | | | | | | | | | | | |            (136), (137), (139), (141), (143), (144), (145),
% 169.81/25.76  | | | | | | | | | | | | |            (147), (148), (151), (152), (154), (158), (159),
% 169.81/25.76  | | | | | | | | | | | | |            (161), (162), (163), (164), (166), (167), (168),
% 169.81/25.76  | | | | | | | | | | | | |            (169), (170), (177), (178), (180), (182), (183),
% 169.81/25.76  | | | | | | | | | | | | |            (185), (248), (249), (251), (252), (253), (257),
% 169.81/25.76  | | | | | | | | | | | | |            (258), (259), (260), (262), (263), (264), (265),
% 169.81/25.76  | | | | | | | | | | | | |            (270), (400) are inconsistent by sub-proof #284.
% 169.81/25.76  | | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | Case 2:
% 169.81/25.76  | | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | |   (402)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 169.81/25.76  | | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | | REF_CLOSE: (4), (5), (28), (35), (58), (81), (98), (103),
% 169.81/25.76  | | | | | | | | | | | | |            (115), (128), (136), (144), (153), (154), (170),
% 169.81/25.76  | | | | | | | | | | | | |            (185), (394), (402) are inconsistent by sub-proof
% 169.81/25.76  | | | | | | | | | | | | |            #116.
% 169.81/25.76  | | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | End of split
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | Case 2:
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | |   (403)   ~ (all_54_12 = e0)
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | REDUCE: (155), (403) imply:
% 169.81/25.76  | | | | | | | | | | | |   (404)   ~ (all_52_3 = e0)
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | BETA: splitting (279) gives:
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | Case 1:
% 169.81/25.76  | | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | |   (405)  all_56_2 = e0
% 169.81/25.76  | | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | | COMBINE_EQS: (103), (405) imply:
% 169.81/25.76  | | | | | | | | | | | | |   (406)  all_52_1 = e0
% 169.81/25.76  | | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | | COMBINE_EQS: (63), (406) imply:
% 169.81/25.76  | | | | | | | | | | | | |   (407)  all_58_17 = e0
% 169.81/25.76  | | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | | REF_CLOSE: (5), (10), (16), (58), (69), (87), (94), (97),
% 169.81/25.76  | | | | | | | | | | | | |            (136), (161), (168), (250), (388), (404), (405),
% 169.81/25.76  | | | | | | | | | | | | |            (407) are inconsistent by sub-proof #47.
% 169.81/25.76  | | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | Case 2:
% 169.81/25.76  | | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | |   (408)  all_56_6 = e0 | all_56_12 = e0
% 169.81/25.76  | | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | | REF_CLOSE: (5), (81), (136), (404), (408) are inconsistent by
% 169.81/25.76  | | | | | | | | | | | | |            sub-proof #918.
% 169.81/25.76  | | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | End of split
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | End of split
% 169.81/25.76  | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | Case 2:
% 169.81/25.76  | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | |   (409)  all_56_8 = e1 | all_56_11 = e1
% 169.81/25.76  | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | BETA: splitting (409) gives:
% 169.81/25.76  | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | Case 1:
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | |   (410)  all_56_8 = e1
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | COMBINE_EQS: (78), (410) imply:
% 169.81/25.76  | | | | | | | | | | | |   (411)  e1 = e0
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | SIMP: (411) implies:
% 169.81/25.76  | | | | | | | | | | | |   (412)  e1 = e0
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | REDUCE: (168), (412) imply:
% 169.81/25.76  | | | | | | | | | | | |   (413)  $false
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | CLOSE: (413) is inconsistent.
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | Case 2:
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | |   (414)  all_56_11 = e1
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | COMBINE_EQS: (258), (414) imply:
% 169.81/25.76  | | | | | | | | | | | |   (415)  all_14_1 = e1
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | SIMP: (415) implies:
% 169.81/25.76  | | | | | | | | | | | |   (416)  all_14_1 = e1
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | REDUCE: (264), (416) imply:
% 169.81/25.76  | | | | | | | | | | | |   (417)  $false
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | | CLOSE: (417) is inconsistent.
% 169.81/25.76  | | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | | End of split
% 169.81/25.76  | | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | | End of split
% 169.81/25.76  | | | | | | | | | | 
% 169.81/25.76  | | | | | | | | | End of split
% 169.81/25.76  | | | | | | | | | 
% 169.81/25.76  | | | | | | | | End of split
% 169.81/25.76  | | | | | | | | 
% 169.81/25.76  | | | | | | | End of split
% 169.81/25.76  | | | | | | | 
% 169.81/25.76  | | | | | | End of split
% 169.81/25.76  | | | | | | 
% 169.81/25.76  | | | | | End of split
% 169.81/25.76  | | | | | 
% 169.81/25.76  | | | | End of split
% 169.81/25.76  | | | | 
% 169.81/25.76  | | | End of split
% 169.81/25.76  | | | 
% 169.81/25.76  | | End of split
% 169.81/25.76  | | 
% 169.81/25.76  | Case 2:
% 169.81/25.76  | | 
% 169.81/25.76  | |   (418)  all_42_2 = e0
% 169.81/25.76  | | 
% 169.81/25.76  | | COMBINE_EQS: (64), (418) imply:
% 169.81/25.76  | |   (419)  all_6_2 = e0
% 169.81/25.76  | | 
% 169.81/25.76  | | COMBINE_EQS: (58), (419) imply:
% 169.81/25.76  | |   (420)  all_56_0 = e0
% 169.81/25.76  | | 
% 169.81/25.76  | | COMBINE_EQS: (97), (419) imply:
% 169.81/25.76  | |   (421)  all_58_16 = e0
% 169.81/25.76  | | 
% 169.81/25.76  | | REDUCE: (54), (419) imply:
% 169.81/25.76  | |   (422)   ~ (all_52_1 = e0)
% 169.81/25.76  | | 
% 169.81/25.76  | | REDUCE: (52), (419) imply:
% 169.81/25.76  | |   (423)   ~ (all_52_3 = e0)
% 169.81/25.76  | | 
% 169.81/25.76  | | REDUCE: (20), (419) imply:
% 169.81/25.76  | |   (424)  op(e0, e3) = all_6_1
% 169.81/25.76  | | 
% 169.81/25.76  | | GROUND_INST: instantiating (153) with all_52_3, all_6_1, e3, e0, simplifying
% 169.81/25.76  | |              with (99), (424) gives:
% 169.81/25.76  | |   (425)  all_52_3 = all_6_1
% 169.81/25.76  | | 
% 169.81/25.76  | | COMBINE_EQS: (5), (425) imply:
% 169.81/25.76  | |   (426)  all_56_12 = all_6_1
% 169.81/25.76  | | 
% 169.81/25.76  | | REDUCE: (423), (425) imply:
% 169.81/25.76  | |   (427)   ~ (all_6_1 = e0)
% 169.81/25.76  | | 
% 169.81/25.76  | | REF_CLOSE: (1), (3), (4), (5), (6), (9), (10), (15), (16), (18), (24), (26),
% 169.81/25.76  | |            (27), (28), (30), (34), (35), (37), (38), (39), (41), (42), (44),
% 169.81/25.76  | |            (46), (47), (49), (50), (51), (56), (57), (59), (60), (62), (63),
% 169.81/25.76  | |            (68), (69), (70), (71), (72), (74), (75), (76), (77), (79), (81),
% 169.81/25.76  | |            (83), (85), (86), (87), (88), (89), (90), (91), (92), (93), (94),
% 169.81/25.76  | |            (96), (98), (99), (101), (103), (105), (106), (108), (109),
% 169.81/25.76  | |            (110), (111), (112), (114), (115), (116), (117), (118), (119),
% 169.81/25.76  | |            (121), (122), (123), (124), (126), (130), (134), (136), (137),
% 169.81/25.76  | |            (139), (140), (141), (144), (145), (147), (148), (149), (150),
% 169.81/25.76  | |            (151), (152), (153), (155), (156), (158), (159), (161), (162),
% 169.81/25.76  | |            (164), (166), (167), (168), (169), (170), (172), (175), (177),
% 169.81/25.76  | |            (178), (180), (183), (420), (421), (422), (424), (426), (427) are
% 169.81/25.76  | |            inconsistent by sub-proof #45.
% 169.81/25.76  | | 
% 169.81/25.76  | End of split
% 169.81/25.76  | 
% 169.81/25.76  End of proof
% 169.81/25.76  
% 169.81/25.76  Sub-proof #45 shows that the following formulas are inconsistent:
% 169.81/25.76  ----------------------------------------------------------------
% 169.81/25.76    (1)   ~ (all_52_12 = all_14_2)
% 169.81/25.76    (2)  all_56_1 = all_52_4
% 169.81/25.76    (3)  op(all_4_2, e2) = e0
% 169.81/25.76    (4)  all_56_12 = all_52_3
% 169.81/25.76    (5)  all_56_15 = e0 | ((all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 169.81/25.76           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0))
% 169.81/25.76    (6)   ~ (all_52_8 = all_52_12)
% 169.81/25.76    (7)   ~ (e3 = e1)
% 169.81/25.76    (8)   ~ (all_52_4 = all_4_2)
% 169.81/25.76    (9)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 169.81/25.76    (10)  all_56_5 = all_52_9
% 169.81/25.76    (11)   ~ (all_52_6 = all_4_2)
% 169.81/25.76    (12)  op(e1, e0) = all_52_14
% 169.81/25.76    (13)  all_56_15 = all_14_2
% 169.81/25.76    (14)  op(e0, e2) = all_52_7
% 169.81/25.76    (15)  all_54_1 = all_52_4
% 169.81/25.76    (16)   ~ (all_52_9 = all_4_2)
% 169.81/25.76    (17)   ~ (all_52_3 = all_52_7)
% 169.81/25.76    (18)  all_54_6 = all_52_9
% 169.81/25.76    (19)   ~ (all_52_7 = all_10_1)
% 169.81/25.76    (20)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 169.81/25.76    (21)   ~ (all_52_13 = all_4_2)
% 169.81/25.76    (22)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 169.81/25.76    (23)  all_48_2 = all_14_2
% 169.81/25.76    (24)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 169.81/25.76    (25)   ~ (all_52_9 = e0)
% 169.81/25.76    (26)   ~ (all_52_4 = all_52_6)
% 169.81/25.76    (27)  all_58_31 = all_14_2
% 169.81/25.76    (28)   ~ (all_52_9 = all_52_13)
% 169.81/25.76    (29)  all_56_11 = all_52_14
% 169.81/25.76    (30)   ~ (all_52_6 = all_52_7)
% 169.81/25.76    (31)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 169.81/25.76    (32)  all_58_30 = all_52_14
% 169.81/25.76    (33)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 169.81/25.76    (34)  all_58_17 = all_52_1
% 169.81/25.76    (35)  all_56_14 = all_10_1
% 169.81/25.76    (36)  all_58_19 = all_52_3
% 169.81/25.76    (37)  all_56_9 = all_52_12
% 169.81/25.76    (38)   ~ (all_52_2 = all_52_6)
% 169.81/25.76    (39)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 169.81/25.76    (40)   ~ (e3 = e2)
% 169.81/25.76    (41)   ~ (all_52_4 = all_52_7)
% 169.81/25.76    (42)   ~ (e2 = e1)
% 169.81/25.76    (43)  all_58_26 = e0
% 169.81/25.76    (44)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 169.81/25.76    (45)   ~ (all_52_2 = e0)
% 169.81/25.76    (46)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 169.81/25.76    (47)   ~ (all_52_13 = all_14_2)
% 169.81/25.76    (48)   ~ (all_52_1 = all_4_2)
% 169.81/25.76    (49)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.81/25.76    (50)  all_54_14 = all_10_1
% 169.81/25.76    (51)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 169.81/25.76    (52)  all_54_9 = all_52_6
% 169.81/25.76    (53)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 169.81/25.76    (54)   ~ (all_52_13 = all_52_14)
% 169.81/25.76    (55)   ~ (all_48_0 = e3) |  ~ (all_48_1 = e2) |  ~ (all_48_2 = e1)
% 169.81/25.76    (56)  all_58_18 = all_52_2
% 169.81/25.76    (57)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 169.81/25.76    (58)  all_58_16 = e0
% 169.81/25.76    (59)  all_56_13 = all_52_7
% 169.81/25.76    (60)  op(e0, e3) = all_52_3
% 169.81/25.76    (61)   ~ (all_52_8 = all_52_9)
% 169.81/25.76    (62)  all_56_2 = all_52_1
% 169.81/25.76    (63)   ~ (all_52_8 = all_10_1)
% 169.81/25.76    (64)  op(e0, e3) = all_6_1
% 169.81/25.76    (65)   ~ (e3 = e0)
% 169.81/25.76    (66)  all_58_29 = all_52_13
% 169.81/25.76    (67)   ~ (all_52_1 = all_52_2)
% 169.81/25.76    (68)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 169.81/25.76    (69)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 169.81/25.76    (70)  op(all_10_1, e0) = all_10_0
% 169.81/25.76    (71)   ~ (all_52_6 = all_52_14)
% 169.81/25.76    (72)   ~ (all_52_7 = all_4_2)
% 169.81/25.76    (73)  all_56_4 = all_52_8
% 169.81/25.76    (74)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.81/25.76    (75)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 169.81/25.76    (76)   ~ (all_52_9 = all_10_1)
% 169.81/25.76    (77)   ~ (all_52_1 = all_52_13)
% 169.81/25.76    (78)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 169.81/25.76    (79)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 169.81/25.76    (80)  all_58_20 = all_52_4
% 169.81/25.76    (81)  all_54_15 = all_14_2
% 169.81/25.76    (82)   ~ (all_14_2 = all_10_1)
% 169.81/25.76    (83)  all_56_12 = all_6_1
% 169.81/25.76    (84)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 169.81/25.76    (85)  all_56_6 = all_52_2
% 169.81/25.76    (86)   ~ (all_52_1 = all_52_9)
% 169.81/25.76    (87)  all_58_24 = all_52_8
% 169.81/25.76    (88)   ~ (all_52_12 = all_52_14)
% 169.81/25.76    (89)  all_58_22 = all_52_6
% 169.81/25.76    (90)  all_56_3 = all_4_2
% 169.81/25.76    (91)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 169.81/25.76    (92)  all_58_27 = all_10_1
% 169.81/25.76    (93)   ~ (all_52_1 = e0)
% 169.81/25.76    (94)   ~ (all_52_2 = all_52_3)
% 169.81/25.76    (95)   ~ (all_52_4 = all_52_8)
% 169.81/25.76    (96)   ~ (all_52_14 = all_14_2)
% 169.81/25.76    (97)  all_58_25 = all_52_9
% 169.81/25.76    (98)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 169.81/25.76    (99)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.81/25.76            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.81/25.76    (100)   ~ (all_6_1 = e0)
% 169.81/25.76    (101)  all_54_12 = all_52_3
% 169.81/25.76    (102)   ~ (all_52_2 = all_52_14)
% 169.81/25.76    (103)  all_58_21 = all_4_2
% 169.81/25.76    (104)  all_56_10 = all_52_13
% 169.81/25.76    (105)  all_56_0 = e0
% 169.81/25.76    (106)   ~ (e2 = e0)
% 169.81/25.76    (107)   ~ (all_52_1 = all_52_3)
% 169.81/25.76    (108)   ~ (all_52_3 = all_10_1)
% 169.81/25.76    (109)  all_58_28 = all_52_12
% 169.81/25.76    (110)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 169.81/25.76    (111)   ~ (e1 = e0)
% 169.81/25.76    (112)  all_54_4 = all_52_1
% 169.81/25.76    (113)  all_56_7 = all_52_6
% 169.81/25.76    (114)   ~ (all_52_8 = e0)
% 169.81/25.76    (115)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 169.81/25.76    (116)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 169.81/25.76    (117)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 169.81/25.76           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 169.81/25.76           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 169.81/25.76           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 169.81/25.76           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 169.81/25.76           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 169.81/25.76           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 169.81/25.76           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 169.81/25.76           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 169.81/25.76           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 169.81/25.76             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 169.81/25.76             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 169.81/25.76             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 169.81/25.76             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 169.81/25.76             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 169.81/25.76             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 169.81/25.76             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 169.81/25.76             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 169.81/25.76             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 169.81/25.76             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 169.81/25.76             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 169.81/25.76             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 169.81/25.76             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 169.81/25.76             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 169.81/25.76             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 169.81/25.76             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 169.81/25.76           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 169.81/25.76           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 169.81/25.76           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 169.81/25.76             all_58_30 = e0 & e1 = e0)
% 169.81/25.76    (118)   ~ (all_10_1 = e0)
% 169.81/25.76    (119)   ~ (all_52_12 = all_52_13)
% 169.81/25.76  
% 169.81/25.76  Begin of proof
% 169.81/25.76  | 
% 169.81/25.76  | BETA: splitting (5) gives:
% 169.81/25.76  | 
% 169.81/25.76  | Case 1:
% 169.81/25.76  | | 
% 169.81/25.76  | |   (120)  all_56_15 = e0
% 169.81/25.76  | | 
% 169.81/25.76  | | COMBINE_EQS: (13), (120) imply:
% 169.81/25.76  | |   (121)  all_14_2 = e0
% 169.81/25.76  | | 
% 169.81/25.76  | | SIMP: (121) implies:
% 169.81/25.76  | |   (122)  all_14_2 = e0
% 169.81/25.76  | | 
% 169.81/25.76  | | REDUCE: (47), (122) imply:
% 169.81/25.76  | |   (123)   ~ (all_52_13 = e0)
% 169.81/25.76  | | 
% 169.81/25.76  | | REF_CLOSE: (3), (10), (14), (25), (62), (72), (74), (90), (93), (99), (104),
% 169.81/25.76  | |            (123) are inconsistent by sub-proof #126.
% 169.81/25.76  | | 
% 169.81/25.76  | Case 2:
% 169.81/25.76  | | 
% 169.81/25.76  | |   (124)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) & (all_56_12 = e0
% 169.81/25.76  | |            | all_56_13 = e0 | all_56_14 = e0)
% 169.81/25.76  | | 
% 169.81/25.76  | | ALPHA: (124) implies:
% 169.81/25.76  | |   (125)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 169.81/25.76  | | 
% 169.81/25.76  | | BETA: splitting (125) gives:
% 169.81/25.76  | | 
% 169.81/25.76  | | Case 1:
% 169.81/25.76  | | | 
% 169.81/25.76  | | |   (126)  all_56_12 = e0
% 169.81/25.76  | | | 
% 169.81/25.76  | | | REF_CLOSE: (83), (100), (126) are inconsistent by sub-proof #631.
% 169.81/25.76  | | | 
% 169.81/25.76  | | Case 2:
% 169.81/25.76  | | | 
% 169.81/25.76  | | |   (127)  all_56_13 = e0 | all_56_14 = e0
% 169.81/25.76  | | | 
% 169.81/25.76  | | | BETA: splitting (127) gives:
% 169.81/25.76  | | | 
% 169.81/25.76  | | | Case 1:
% 169.81/25.76  | | | | 
% 169.81/25.76  | | | |   (128)  all_56_13 = e0
% 169.81/25.76  | | | | 
% 169.81/25.76  | | | | COMBINE_EQS: (59), (128) imply:
% 169.81/25.76  | | | |   (129)  all_52_7 = e0
% 169.81/25.76  | | | | 
% 169.81/25.76  | | | | SIMP: (129) implies:
% 169.81/25.76  | | | |   (130)  all_52_7 = e0
% 169.81/25.76  | | | | 
% 169.81/25.76  | | | | REDUCE: (41), (130) imply:
% 169.81/25.76  | | | |   (131)   ~ (all_52_4 = e0)
% 169.81/25.76  | | | | 
% 169.81/25.76  | | | | REDUCE: (30), (130) imply:
% 169.81/25.76  | | | |   (132)   ~ (all_52_6 = e0)
% 169.81/25.76  | | | | 
% 169.81/25.76  | | | | REDUCE: (72), (130) imply:
% 169.81/25.76  | | | |   (133)   ~ (all_4_2 = e0)
% 169.81/25.76  | | | | 
% 169.81/25.76  | | | | SIMP: (133) implies:
% 169.81/25.76  | | | |   (134)   ~ (all_4_2 = e0)
% 169.81/25.76  | | | | 
% 169.81/25.76  | | | | REF_CLOSE: (1), (2), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 169.81/25.76  | | | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 169.81/25.76  | | | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 169.81/25.76  | | | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (44),
% 169.81/25.76  | | | |            (45), (46), (47), (48), (49), (50), (51), (52), (53), (54),
% 169.81/25.76  | | | |            (55), (56), (57), (58), (59), (60), (61), (62), (63), (64),
% 169.81/25.76  | | | |            (65), (66), (67), (68), (69), (70), (71), (73), (74), (75),
% 169.81/25.76  | | | |            (76), (77), (78), (79), (80), (81), (82), (84), (85), (86),
% 169.81/25.76  | | | |            (87), (88), (89), (90), (91), (92), (93), (94), (95), (96),
% 169.81/25.76  | | | |            (97), (98), (99), (101), (102), (103), (104), (105), (106),
% 169.81/25.76  | | | |            (107), (108), (109), (110), (111), (112), (113), (114),
% 169.81/25.76  | | | |            (115), (116), (117), (119), (131), (132), (134) are
% 169.81/25.76  | | | |            inconsistent by sub-proof #268.
% 169.81/25.76  | | | | 
% 169.81/25.76  | | | Case 2:
% 169.81/25.76  | | | | 
% 169.81/25.76  | | | |   (135)  all_56_14 = e0
% 169.81/25.76  | | | | 
% 169.81/25.76  | | | | REF_CLOSE: (35), (118), (135) are inconsistent by sub-proof #317.
% 169.81/25.76  | | | | 
% 169.81/25.76  | | | End of split
% 169.81/25.76  | | | 
% 169.81/25.76  | | End of split
% 169.81/25.76  | | 
% 169.81/25.76  | End of split
% 169.81/25.76  | 
% 169.81/25.76  End of proof
% 169.81/25.76  
% 169.81/25.76  Sub-proof #46 shows that the following formulas are inconsistent:
% 169.81/25.76  ----------------------------------------------------------------
% 169.81/25.76    (1)  all_56_1 = all_52_4
% 169.81/25.76    (2)  op(all_4_2, e2) = e0
% 169.81/25.76    (3)  all_56_12 = all_52_3
% 169.81/25.76    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 169.81/25.76    (5)   ~ (all_52_8 = all_52_12)
% 169.81/25.76    (6)   ~ (e3 = e1)
% 169.81/25.76    (7)  all_58_23 = all_52_7
% 169.81/25.76    (8)  all_44_0 = all_4_0
% 169.81/25.76    (9)   ~ (all_52_2 = all_6_2)
% 169.81/25.76    (10)   ~ (all_52_4 = all_4_2)
% 169.81/25.76    (11)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 169.81/25.76    (12)  op(all_14_1, e0) = all_14_0
% 169.81/25.76    (13)  op(e0, e0) = all_14_1
% 169.81/25.76    (14)  all_56_5 = all_52_9
% 169.81/25.76    (15)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 169.81/25.76    (16)   ~ (all_52_6 = all_4_2)
% 169.81/25.76    (17)  op(e3, all_6_2) = all_58_0
% 169.81/25.76    (18)  op(e0, e2) = all_52_7
% 169.81/25.76    (19)  op(all_10_2, e1) = all_10_1
% 169.81/25.76    (20)  op(e1, all_10_2) = all_58_10
% 169.81/25.76    (21)   ~ (all_52_9 = all_4_2)
% 169.81/25.76    (22)  op(e1, e1) = all_10_2
% 169.81/25.76    (23)   ~ (all_52_13 = all_4_2)
% 169.81/25.76    (24)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 169.81/25.76    (25)   ~ (all_52_9 = e0)
% 169.81/25.77    (26)  all_58_26 = all_10_2
% 169.81/25.77    (27)   ~ (all_52_4 = all_52_6)
% 169.81/25.77    (28)   ~ (all_52_9 = all_52_13)
% 169.81/25.77    (29)   ~ (all_52_3 = all_6_2)
% 169.81/25.77    (30)  all_56_0 = all_6_2
% 169.81/25.77    (31)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 169.81/25.77    (32)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 169.81/25.77    (33)  all_58_17 = all_52_1
% 169.81/25.77    (34)  op(e2, all_4_2) = all_58_5
% 169.81/25.77    (35)  all_56_14 = all_10_1
% 169.81/25.77    (36)  all_58_19 = all_52_3
% 169.81/25.77    (37)  all_56_9 = all_52_12
% 169.81/25.77    (38)   ~ (all_52_2 = all_52_6)
% 169.81/25.77    (39)  op(e2, e2) = all_4_2
% 169.81/25.77    (40)   ~ (e3 = e2)
% 169.81/25.77    (41)   ~ (all_52_4 = all_52_7)
% 169.81/25.77    (42)   ~ (e2 = e1)
% 169.81/25.77    (43)  all_58_26 = e0
% 169.81/25.77    (44)  all_56_8 = e0
% 169.81/25.77    (45)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 169.81/25.77    (46)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 169.81/25.77    (47)   ~ (all_52_1 = all_4_2)
% 169.81/25.77    (48)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.81/25.77    (49)  all_58_18 = all_52_2
% 169.81/25.77    (50)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 169.81/25.77    (51)  all_58_16 = all_6_2
% 169.81/25.77    (52)  all_56_13 = all_52_7
% 169.81/25.77    (53)  op(e0, e3) = all_52_3
% 169.81/25.77    (54)   ~ (all_52_8 = all_52_9)
% 169.81/25.77    (55)   ~ (all_52_4 = all_6_2)
% 169.81/25.77    (56)  all_56_2 = all_52_1
% 169.81/25.77    (57)   ~ (all_14_0 = e1)
% 169.81/25.77    (58)   ~ (all_52_8 = all_10_1)
% 169.81/25.77    (59)   ~ (e3 = e0)
% 169.81/25.77    (60)   ~ (all_52_13 = e0)
% 169.81/25.77    (61)  op(e0, e0) = all_58_15
% 169.81/25.77    (62)  op(e0, all_4_2) = all_4_0
% 169.81/25.77    (63)   ~ (all_52_7 = all_4_2)
% 169.81/25.77    (64)  all_56_4 = all_52_8
% 169.81/25.77    (65)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.81/25.77    (66)  op(e0, e0) = e0
% 169.81/25.77    (67)   ~ (all_52_1 = all_52_13)
% 169.81/25.77    (68)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 169.81/25.77    (69)  all_58_20 = all_52_4
% 169.81/25.77    (70)  op(e0, all_10_1) = all_58_14
% 169.81/25.77    (71)  all_44_2 = all_4_2
% 169.81/25.77    (72)   ~ (all_44_0 = e1) |  ~ (all_44_2 = e3)
% 169.81/25.77    (73)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 169.81/25.77    (74)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 169.81/25.77    (75)  all_56_6 = all_52_2
% 169.81/25.77    (76)   ~ (all_52_1 = all_52_9)
% 169.81/25.77    (77)  op(e3, e3) = all_6_2
% 169.81/25.77    (78)   ~ (all_52_7 = e0)
% 169.81/25.77    (79)  all_58_24 = all_52_8
% 169.81/25.77    (80)  all_58_22 = all_52_6
% 169.81/25.77    (81)  all_56_3 = all_4_2
% 169.81/25.77    (82)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 169.81/25.77    (83)  all_54_0 = all_6_2
% 169.81/25.77    (84)  all_58_27 = all_10_1
% 169.81/25.77    (85)   ~ (all_52_2 = all_52_3)
% 169.81/25.77    (86)   ~ (all_52_4 = all_52_8)
% 169.81/25.77    (87)  all_58_25 = all_52_9
% 169.81/25.77    (88)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.81/25.77            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.81/25.77    (89)   ~ (all_52_6 = e0)
% 169.81/25.77    (90)  all_54_12 = all_52_3
% 169.81/25.77    (91)  all_58_21 = all_4_2
% 169.81/25.77    (92)  all_56_10 = all_52_13
% 169.81/25.77    (93)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 169.81/25.77    (94)   ~ (e2 = e0)
% 169.81/25.77    (95)   ~ (all_52_1 = all_52_3)
% 169.81/25.77    (96)   ~ (all_52_3 = all_10_1)
% 169.81/25.77    (97)  all_56_7 = all_52_6
% 169.81/25.77    (98)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 169.81/25.77            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 169.81/25.77            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 169.81/25.77            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 169.81/25.77            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 169.81/25.77            (all_58_15 = e0))
% 169.81/25.77    (99)  all_54_5 = all_4_2
% 169.81/25.77    (100)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 169.81/25.77    (101)  all_54_7 = all_52_13
% 169.81/25.77    (102)   ~ (all_10_1 = e0)
% 169.81/25.77  
% 169.81/25.77  Begin of proof
% 169.81/25.77  | 
% 169.81/25.77  | GROUND_INST: instantiating (88) with all_14_1, all_58_15, e0, e0, simplifying
% 169.81/25.77  |              with (13), (61) gives:
% 169.81/25.77  |   (103)  all_58_15 = all_14_1
% 169.81/25.77  | 
% 169.81/25.77  | GROUND_INST: instantiating (88) with e0, all_58_15, e0, e0, simplifying with
% 169.81/25.77  |              (61), (66) gives:
% 169.81/25.77  |   (104)  all_58_15 = e0
% 169.81/25.77  | 
% 169.81/25.77  | COMBINE_EQS: (103), (104) imply:
% 169.81/25.77  |   (105)  all_14_1 = e0
% 169.81/25.77  | 
% 169.81/25.77  | SIMP: (105) implies:
% 169.81/25.77  |   (106)  all_14_1 = e0
% 169.81/25.77  | 
% 169.81/25.77  | REDUCE: (12), (106) imply:
% 169.81/25.77  |   (107)  op(e0, e0) = all_14_0
% 169.81/25.77  | 
% 169.81/25.77  | GROUND_INST: instantiating (88) with e0, all_14_0, e0, e0, simplifying with
% 169.81/25.77  |              (66), (107) gives:
% 169.81/25.77  |   (108)  all_14_0 = e0
% 169.81/25.77  | 
% 169.81/25.77  | REDUCE: (57), (108) imply:
% 169.81/25.77  |   (109)   ~ (e1 = e0)
% 169.81/25.77  | 
% 169.81/25.77  | SIMP: (109) implies:
% 169.81/25.77  |   (110)   ~ (e1 = e0)
% 169.81/25.77  | 
% 169.81/25.77  | BETA: splitting (65) gives:
% 169.81/25.77  | 
% 169.81/25.77  | Case 1:
% 169.81/25.77  | | 
% 169.81/25.77  | |   (111)  all_56_2 = e0
% 169.81/25.77  | | 
% 169.81/25.77  | | COMBINE_EQS: (56), (111) imply:
% 169.81/25.77  | |   (112)  all_52_1 = e0
% 169.81/25.77  | | 
% 169.81/25.77  | | COMBINE_EQS: (33), (112) imply:
% 169.81/25.77  | |   (113)  all_58_17 = e0
% 169.81/25.77  | | 
% 169.81/25.77  | | REDUCE: (95), (112) imply:
% 169.81/25.77  | |   (114)   ~ (all_52_3 = e0)
% 169.81/25.77  | | 
% 169.81/25.77  | | SIMP: (114) implies:
% 169.81/25.77  | |   (115)   ~ (all_52_3 = e0)
% 169.81/25.77  | | 
% 169.81/25.77  | | REDUCE: (76), (112) imply:
% 169.81/25.77  | |   (116)   ~ (all_52_9 = e0)
% 169.81/25.77  | | 
% 169.81/25.77  | | REDUCE: (67), (112) imply:
% 169.81/25.77  | |   (117)   ~ (all_52_13 = e0)
% 169.81/25.77  | | 
% 169.81/25.77  | | REDUCE: (47), (112) imply:
% 169.81/25.77  | |   (118)   ~ (all_4_2 = e0)
% 169.81/25.77  | | 
% 169.81/25.77  | | SIMP: (118) implies:
% 169.81/25.77  | |   (119)   ~ (all_4_2 = e0)
% 169.81/25.77  | | 
% 169.81/25.77  | | BETA: splitting (50) gives:
% 169.81/25.77  | | 
% 169.81/25.77  | | Case 1:
% 169.81/25.77  | | | 
% 169.81/25.77  | | |   (120)  all_56_1 = e0
% 169.81/25.77  | | | 
% 169.81/25.77  | | | COMBINE_EQS: (1), (120) imply:
% 169.81/25.77  | | |   (121)  all_52_4 = e0
% 169.81/25.77  | | | 
% 169.81/25.77  | | | COMBINE_EQS: (69), (121) imply:
% 169.81/25.77  | | |   (122)  all_58_20 = e0
% 169.81/25.77  | | | 
% 169.81/25.77  | | | REDUCE: (27), (121) imply:
% 169.81/25.77  | | |   (123)   ~ (all_52_6 = e0)
% 169.81/25.77  | | | 
% 169.81/25.77  | | | REDUCE: (41), (121) imply:
% 169.81/25.77  | | |   (124)   ~ (all_52_7 = e0)
% 169.81/25.77  | | | 
% 169.81/25.77  | | | REDUCE: (86), (121) imply:
% 169.81/25.77  | | |   (125)   ~ (all_52_8 = e0)
% 169.81/25.77  | | | 
% 169.81/25.77  | | | SIMP: (125) implies:
% 169.81/25.77  | | |   (126)   ~ (all_52_8 = e0)
% 169.81/25.77  | | | 
% 169.81/25.77  | | | REDUCE: (55), (121) imply:
% 169.81/25.77  | | |   (127)   ~ (all_6_2 = e0)
% 169.81/25.77  | | | 
% 169.81/25.77  | | | SIMP: (127) implies:
% 169.81/25.77  | | |   (128)   ~ (all_6_2 = e0)
% 169.81/25.77  | | | 
% 169.81/25.77  | | | BETA: splitting (15) gives:
% 169.81/25.77  | | | 
% 169.81/25.77  | | | Case 1:
% 169.81/25.77  | | | | 
% 169.81/25.77  | | | |   (129)  all_54_5 = e0
% 169.81/25.77  | | | | 
% 169.81/25.77  | | | | COMBINE_EQS: (99), (129) imply:
% 169.81/25.77  | | | |   (130)  all_4_2 = e0
% 169.81/25.77  | | | | 
% 169.81/25.77  | | | | REDUCE: (119), (130) imply:
% 169.81/25.77  | | | |   (131)  $false
% 169.81/25.77  | | | | 
% 169.81/25.77  | | | | CLOSE: (131) is inconsistent.
% 169.81/25.77  | | | | 
% 169.81/25.77  | | | Case 2:
% 169.81/25.77  | | | | 
% 169.81/25.77  | | | |   (132)   ~ (all_54_5 = e0)
% 169.81/25.77  | | | |   (133)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 169.81/25.77  | | | | 
% 169.81/25.77  | | | | BETA: splitting (46) gives:
% 169.81/25.77  | | | | 
% 169.81/25.77  | | | | Case 1:
% 169.81/25.77  | | | | | 
% 169.81/25.77  | | | | |   (134)  all_54_7 = e0
% 169.81/25.77  | | | | | 
% 169.81/25.77  | | | | | REF_CLOSE: (60), (101), (134) are inconsistent by sub-proof #714.
% 169.81/25.77  | | | | | 
% 169.81/25.77  | | | | Case 2:
% 169.81/25.77  | | | | | 
% 169.81/25.77  | | | | |   (135)   ~ (all_54_7 = e0)
% 169.81/25.77  | | | | |   (136)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 169.81/25.77  | | | | | 
% 169.81/25.77  | | | | | BETA: splitting (68) gives:
% 169.81/25.77  | | | | | 
% 169.81/25.77  | | | | | Case 1:
% 169.81/25.77  | | | | | | 
% 169.81/25.77  | | | | | |   (137)  all_54_12 = e0
% 169.81/25.77  | | | | | | 
% 169.81/25.77  | | | | | | COMBINE_EQS: (90), (137) imply:
% 169.81/25.77  | | | | | |   (138)  all_52_3 = e0
% 169.81/25.77  | | | | | | 
% 169.81/25.77  | | | | | | REDUCE: (115), (138) imply:
% 169.81/25.77  | | | | | |   (139)  $false
% 169.81/25.77  | | | | | | 
% 169.81/25.77  | | | | | | CLOSE: (139) is inconsistent.
% 169.81/25.77  | | | | | | 
% 169.81/25.77  | | | | | Case 2:
% 169.81/25.77  | | | | | | 
% 169.81/25.77  | | | | | |   (140)   ~ (all_54_12 = e0)
% 169.81/25.77  | | | | | |   (141)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 169.81/25.77  | | | | | | 
% 169.81/25.77  | | | | | | BETA: splitting (4) gives:
% 169.81/25.77  | | | | | | 
% 169.81/25.77  | | | | | | Case 1:
% 169.81/25.77  | | | | | | | 
% 169.81/25.77  | | | | | | |   (142)  all_54_0 = e0
% 169.81/25.77  | | | | | | | 
% 169.81/25.77  | | | | | | | REF_CLOSE: (83), (128), (142) are inconsistent by sub-proof #984.
% 169.81/25.77  | | | | | | | 
% 169.81/25.77  | | | | | | Case 2:
% 169.81/25.77  | | | | | | | 
% 169.81/25.77  | | | | | | |   (143)   ~ (all_54_0 = e0)
% 169.81/25.77  | | | | | | |   (144)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 169.81/25.77  | | | | | | | 
% 169.81/25.77  | | | | | | | BETA: splitting (31) gives:
% 169.81/25.77  | | | | | | | 
% 169.81/25.77  | | | | | | | Case 1:
% 169.81/25.77  | | | | | | | | 
% 169.81/25.77  | | | | | | | |   (145)  all_58_27 = e0
% 169.81/25.77  | | | | | | | | 
% 169.81/25.77  | | | | | | | | COMBINE_EQS: (84), (145) imply:
% 169.81/25.77  | | | | | | | |   (146)  all_10_1 = e0
% 169.81/25.77  | | | | | | | | 
% 169.81/25.77  | | | | | | | | REDUCE: (102), (146) imply:
% 169.81/25.77  | | | | | | | |   (147)  $false
% 169.81/25.77  | | | | | | | | 
% 169.81/25.77  | | | | | | | | CLOSE: (147) is inconsistent.
% 169.81/25.77  | | | | | | | | 
% 169.81/25.77  | | | | | | | Case 2:
% 169.81/25.77  | | | | | | | | 
% 169.81/25.77  | | | | | | | |   (148)   ~ (all_58_27 = e0)
% 169.81/25.77  | | | | | | | |   (149)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 169.81/25.77  | | | | | | | | 
% 169.81/25.77  | | | | | | | | BETA: splitting (11) gives:
% 169.81/25.77  | | | | | | | | 
% 169.81/25.77  | | | | | | | | Case 1:
% 169.81/25.77  | | | | | | | | | 
% 169.81/25.77  | | | | | | | | |   (150)  all_58_19 = e0
% 169.81/25.77  | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | COMBINE_EQS: (36), (150) imply:
% 169.81/25.77  | | | | | | | | |   (151)  all_52_3 = e0
% 169.81/25.77  | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | REDUCE: (115), (151) imply:
% 169.81/25.77  | | | | | | | | |   (152)  $false
% 169.81/25.77  | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | CLOSE: (152) is inconsistent.
% 169.81/25.77  | | | | | | | | | 
% 169.81/25.77  | | | | | | | | Case 2:
% 169.81/25.77  | | | | | | | | | 
% 169.81/25.77  | | | | | | | | |   (153)   ~ (all_58_19 = e0)
% 169.81/25.77  | | | | | | | | |   (154)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 169.81/25.77  | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | BETA: splitting (73) gives:
% 169.81/25.77  | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | Case 1:
% 169.81/25.77  | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | |   (155)  all_58_23 = e0
% 169.81/25.77  | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | COMBINE_EQS: (7), (155) imply:
% 169.81/25.77  | | | | | | | | | |   (156)  all_52_7 = e0
% 169.81/25.77  | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | REDUCE: (78), (156) imply:
% 169.81/25.77  | | | | | | | | | |   (157)  $false
% 169.81/25.77  | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | CLOSE: (157) is inconsistent.
% 169.81/25.77  | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | Case 2:
% 169.81/25.77  | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | |   (158)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 169.81/25.77  | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | BETA: splitting (82) gives:
% 169.81/25.77  | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | Case 1:
% 169.81/25.77  | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | |   (159)  all_56_0 = e1
% 169.81/25.77  | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | COMBINE_EQS: (30), (159) imply:
% 169.81/25.77  | | | | | | | | | | |   (160)  all_6_2 = e1
% 169.81/25.77  | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | SIMP: (160) implies:
% 169.81/25.77  | | | | | | | | | | |   (161)  all_6_2 = e1
% 169.81/25.77  | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | REDUCE: (9), (161) imply:
% 169.81/25.77  | | | | | | | | | | |   (162)   ~ (all_52_2 = e1)
% 169.81/25.77  | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | REDUCE: (29), (161) imply:
% 169.81/25.77  | | | | | | | | | | |   (163)   ~ (all_52_3 = e1)
% 169.81/25.77  | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | REF_CLOSE: (3), (6), (11), (30), (36), (48), (49), (51),
% 169.81/25.77  | | | | | | | | | | |            (75), (94), (110), (111), (113), (115), (162),
% 169.81/25.77  | | | | | | | | | | |            (163) are inconsistent by sub-proof #47.
% 169.81/25.77  | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | Case 2:
% 169.81/25.77  | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | |   (164)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 169.81/25.77  | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | BETA: splitting (164) gives:
% 169.81/25.77  | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | Case 1:
% 169.81/25.77  | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | |   (165)  all_56_1 = e1
% 169.81/25.77  | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | COMBINE_EQS: (120), (165) imply:
% 169.81/25.77  | | | | | | | | | | | |   (166)  e1 = e0
% 169.81/25.77  | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | REDUCE: (110), (166) imply:
% 169.81/25.77  | | | | | | | | | | | |   (167)  $false
% 169.81/25.77  | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | CLOSE: (167) is inconsistent.
% 169.81/25.77  | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | Case 2:
% 169.81/25.77  | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | |   (168)   ~ (all_56_1 = e1)
% 169.81/25.77  | | | | | | | | | | | |   (169)  all_56_4 = e1 | all_56_9 = e1
% 169.81/25.77  | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | BETA: splitting (169) gives:
% 169.81/25.77  | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | Case 1:
% 169.81/25.77  | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | |   (170)  all_56_4 = e1
% 169.81/25.77  | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | COMBINE_EQS: (64), (170) imply:
% 169.81/25.77  | | | | | | | | | | | | |   (171)  all_52_8 = e1
% 169.81/25.77  | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | COMBINE_EQS: (79), (171) imply:
% 169.81/25.77  | | | | | | | | | | | | |   (172)  all_58_24 = e1
% 169.81/25.77  | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | REDUCE: (5), (171) imply:
% 169.81/25.77  | | | | | | | | | | | | |   (173)   ~ (all_52_12 = e1)
% 169.81/25.77  | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | SIMP: (173) implies:
% 169.81/25.77  | | | | | | | | | | | | |   (174)   ~ (all_52_12 = e1)
% 169.81/25.77  | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | REDUCE: (58), (171) imply:
% 169.81/25.77  | | | | | | | | | | | | |   (175)   ~ (all_10_1 = e1)
% 169.81/25.77  | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | SIMP: (175) implies:
% 169.81/25.77  | | | | | | | | | | | | |   (176)   ~ (all_10_1 = e1)
% 169.81/25.77  | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | BETA: splitting (149) gives:
% 169.81/25.77  | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | Case 1:
% 169.81/25.77  | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | |   (177)  all_58_26 = e1
% 169.81/25.77  | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | COMBINE_EQS: (43), (177) imply:
% 169.81/25.77  | | | | | | | | | | | | | |   (178)  e1 = e0
% 169.81/25.77  | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | COMBINE_EQS: (170), (178) imply:
% 169.81/25.77  | | | | | | | | | | | | | |   (179)  all_56_4 = e0
% 169.81/25.77  | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 169.81/25.77  | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | Case 1:
% 169.81/25.77  | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | REF_CLOSE: (110), (170), (179) are inconsistent by sub-proof
% 169.81/25.77  | | | | | | | | | | | | | | |            #834.
% 169.81/25.77  | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | Case 2:
% 169.81/25.77  | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | |   (180)  all_56_9 = e1
% 169.81/25.77  | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | REF_CLOSE: (37), (174), (180) are inconsistent by sub-proof
% 169.81/25.77  | | | | | | | | | | | | | | |            #683.
% 169.81/25.77  | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | End of split
% 169.81/25.77  | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | Case 2:
% 169.81/25.77  | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | |   (181)  all_58_24 = e3 | all_58_25 = e2
% 169.81/25.77  | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 169.81/25.77  | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | Case 1:
% 169.81/25.77  | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | |   (182)  all_58_25 = e2
% 169.81/25.77  | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | COMBINE_EQS: (87), (182) imply:
% 169.81/25.77  | | | | | | | | | | | | | | |   (183)  all_52_9 = e2
% 169.81/25.77  | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | COMBINE_EQS: (14), (183) imply:
% 169.81/25.77  | | | | | | | | | | | | | | |   (184)  all_56_5 = e2
% 169.81/25.77  | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | REDUCE: (28), (183) imply:
% 169.81/25.77  | | | | | | | | | | | | | | |   (185)   ~ (all_52_13 = e2)
% 169.81/25.77  | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | SIMP: (185) implies:
% 169.81/25.77  | | | | | | | | | | | | | | |   (186)   ~ (all_52_13 = e2)
% 169.81/25.77  | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | REDUCE: (21), (183) imply:
% 169.81/25.77  | | | | | | | | | | | | | | |   (187)   ~ (all_4_2 = e2)
% 169.81/25.77  | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | SIMP: (187) implies:
% 169.81/25.77  | | | | | | | | | | | | | | |   (188)   ~ (all_4_2 = e2)
% 169.81/25.77  | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | BETA: splitting (74) gives:
% 169.81/25.77  | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | Case 1:
% 169.81/25.77  | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | |   (189)  all_56_4 = e3
% 169.81/25.77  | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (37), (169), (174), (189) are inconsistent by
% 169.81/25.77  | | | | | | | | | | | | | | | |            sub-proof #512.
% 169.81/25.77  | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | Case 2:
% 169.81/25.77  | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | |   (190)  all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 169.81/25.77  | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 169.81/25.77  | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | Case 1:
% 169.81/25.77  | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | |   (191)  all_56_5 = e3
% 169.81/25.77  | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (184), (191) are inconsistent by sub-proof
% 169.81/25.77  | | | | | | | | | | | | | | | | |            #356.
% 169.81/25.77  | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | Case 2:
% 169.81/25.77  | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | |   (192)  all_56_8 = e3 | all_56_14 = e3
% 169.81/25.77  | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 169.81/25.77  | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | Case 1:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | |   (193)  all_56_8 = e3
% 169.81/25.77  | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (59), (193) are inconsistent by sub-proof
% 169.81/25.77  | | | | | | | | | | | | | | | | | |            #543.
% 169.81/25.77  | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | Case 2:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | |   (194)  all_56_14 = e3
% 169.81/25.77  | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (35), (194) imply:
% 169.81/25.77  | | | | | | | | | | | | | | | | | |   (195)  all_10_1 = e3
% 169.81/25.77  | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | SIMP: (195) implies:
% 169.81/25.77  | | | | | | | | | | | | | | | | | |   (196)  all_10_1 = e3
% 169.81/25.77  | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | REDUCE: (96), (196) imply:
% 169.81/25.77  | | | | | | | | | | | | | | | | | |   (197)   ~ (all_52_3 = e3)
% 169.81/25.77  | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | REDUCE: (70), (196) imply:
% 169.81/25.77  | | | | | | | | | | | | | | | | | |   (198)  op(e0, e3) = all_58_14
% 169.81/25.77  | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | Case 1:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | |   (199)  all_58_22 = e1
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (80), (199) imply:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | |   (200)  all_52_6 = e1
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | REDUCE: (38), (200) imply:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | |   (201)   ~ (all_52_2 = e1)
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | REDUCE: (16), (200) imply:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | |   (202)   ~ (all_4_2 = e1)
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | SIMP: (202) implies:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | |   (203)   ~ (all_4_2 = e1)
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | BETA: splitting (48) gives:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | Case 1:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | |   (204)  all_56_0 = e1
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (30), (204) imply:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | |   (205)  all_6_2 = e1
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | SIMP: (205) implies:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | |   (206)  all_6_2 = e1
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (51), (206) imply:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | |   (207)  all_58_16 = e1
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11), (36), (49), (94), (113), (115), (201),
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | |            (207) are inconsistent by sub-proof #937.
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | Case 2:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | |   (208)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | BETA: splitting (93) gives:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | |   (209)  all_56_2 = e1
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (111), (209) imply:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | |   (210)  e1 = e0
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | SIMP: (210) implies:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | |   (211)  e1 = e0
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (172), (211) imply:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | |   (212)  all_58_24 = e0
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (199), (211) imply:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | |   (213)  all_58_22 = e0
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (17), (19), (20), (21), (22), (24), (26),
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | |            (29), (30), (34), (39), (49), (51), (55), (69),
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | |            (77), (83), (85), (87), (88), (90), (91), (94),
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | |            (98), (104), (110), (113), (128), (141), (144),
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | |            (149), (154), (158), (197), (212), (213) are
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #120.
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | |   (214)  all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (133) gives:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | |   (215)  all_54_5 = e1
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (99), (203), (215) are inconsistent by sub-proof
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | |            #977.
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | |   (216)   ~ (all_54_5 = e1)
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | |   (217)  all_54_5 = e3 | all_54_5 = e2
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | |   (218)  all_54_5 = e2
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (99), (188), (218) are inconsistent by sub-proof
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | |            #976.
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | |   (219)  all_54_5 = e3
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (99), (219) imply:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | |   (220)  all_4_2 = e3
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (220) implies:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | |   (221)  all_4_2 = e3
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (71), (221) imply:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | |   (222)  all_44_2 = e3
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (221) imply:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | |   (223)   ~ (all_52_13 = e3)
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (221) imply:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | |   (224)  op(e0, e3) = all_4_0
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | |   (225)  all_56_12 = e1
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3), (225) imply:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | |   (226)  all_52_3 = e1
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (226) implies:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | |   (227)  all_52_3 = e1
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (227) imply:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | |   (228)  op(e0, e3) = e1
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (72) gives:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (229)   ~ (all_44_0 = e1)
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (229) imply:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (230)   ~ (all_4_0 = e1)
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (88) with all_4_0, all_58_14, e3,
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | |              e0, simplifying with (198), (224) gives:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (231)  all_58_14 = all_4_0
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (88) with e1, all_58_14, e3, e0,
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (198), (228) gives:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  all_58_14 = e1
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (231), (232) imply:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  all_4_0 = e1
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (233) implies:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  all_4_0 = e1
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (234) imply:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  $false
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (235) is inconsistent.
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (236)   ~ (all_44_2 = e3)
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (222), (236) imply:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (237)  $false
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (237) is inconsistent.
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | |   (238)   ~ (all_56_12 = e1)
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (238) imply:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | |   (239)   ~ (all_52_3 = e1)
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (136) gives:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  all_54_7 = e1
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (101), (240) imply:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (241)  all_52_13 = e1
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (241) implies:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (242)  all_52_13 = e1
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (92), (242) imply:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (243)  all_56_10 = e1
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (186), (242) imply:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (244)   ~ (e2 = e1)
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | |   (245)  all_56_2 = e1
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (111), (245) imply:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | |   (246)  e1 = e0
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (246) implies:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | |   (247)  e1 = e0
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (243), (247) imply:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  all_56_10 = e0
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (81), (110), (184), (203), (214), (248) are
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #242.
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  all_56_6 = e1 | all_56_12 = e1
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (75), (201), (239), (249) are inconsistent by
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #704.
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  all_54_7 = e3 | all_54_7 = e2
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (101), (186), (223), (250) are inconsistent by
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #709.
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | End of split
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | End of split
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | End of split
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | End of split
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | Case 2:
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | |   (251)  all_58_20 = e3 | all_58_21 = e2
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (91), (122), (188), (251) are inconsistent
% 169.81/25.77  | | | | | | | | | | | | | | | | | | |            by sub-proof #974.
% 169.81/25.77  | | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | | End of split
% 169.81/25.77  | | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | | End of split
% 169.81/25.77  | | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | | End of split
% 169.81/25.77  | | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | End of split
% 169.81/25.77  | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | Case 2:
% 169.81/25.77  | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | |   (252)  all_58_24 = e3
% 169.81/25.77  | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | | REF_CLOSE: (6), (172), (252) are inconsistent by sub-proof
% 169.81/25.77  | | | | | | | | | | | | | | |            #254.
% 169.81/25.77  | | | | | | | | | | | | | | | 
% 169.81/25.77  | | | | | | | | | | | | | | End of split
% 169.81/25.77  | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | End of split
% 169.81/25.78  | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | Case 2:
% 169.81/25.78  | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | |   (253)  all_56_9 = e1
% 169.81/25.78  | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | BETA: splitting (32) gives:
% 169.81/25.78  | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | Case 1:
% 169.81/25.78  | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | |   (254)  all_56_6 = e1
% 169.81/25.78  | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | COMBINE_EQS: (75), (254) imply:
% 169.81/25.78  | | | | | | | | | | | | | |   (255)  all_52_2 = e1
% 169.81/25.78  | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | REF_CLOSE: (2), (34), (38), (39), (59), (80), (88), (91),
% 169.81/25.78  | | | | | | | | | | | | | |            (119), (122), (158), (255) are inconsistent by
% 169.81/25.78  | | | | | | | | | | | | | |            sub-proof #112.
% 169.81/25.78  | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | Case 2:
% 169.81/25.78  | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | |   (256)   ~ (all_56_6 = e1)
% 169.81/25.78  | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | REDUCE: (75), (256) imply:
% 169.81/25.78  | | | | | | | | | | | | | |   (257)   ~ (all_52_2 = e1)
% 169.81/25.78  | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | BETA: splitting (154) gives:
% 169.81/25.78  | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | Case 1:
% 169.81/25.78  | | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | |   (258)  all_58_18 = e1
% 169.81/25.78  | | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | | COMBINE_EQS: (49), (258) imply:
% 169.81/25.78  | | | | | | | | | | | | | | |   (259)  all_52_2 = e1
% 169.81/25.78  | | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | | REDUCE: (257), (259) imply:
% 169.81/25.78  | | | | | | | | | | | | | | |   (260)  $false
% 169.81/25.78  | | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | | CLOSE: (260) is inconsistent.
% 169.81/25.78  | | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | Case 2:
% 169.81/25.78  | | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | |   (261)  all_58_16 = e3 | all_58_17 = e2
% 169.81/25.78  | | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | | BETA: splitting (261) gives:
% 169.81/25.78  | | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | | Case 1:
% 169.81/25.78  | | | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | | |   (262)  all_58_17 = e2
% 169.81/25.78  | | | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | | | COMBINE_EQS: (113), (262) imply:
% 169.81/25.78  | | | | | | | | | | | | | | | |   (263)  e2 = e0
% 169.81/25.78  | | | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | | | REDUCE: (94), (263) imply:
% 169.81/25.78  | | | | | | | | | | | | | | | |   (264)  $false
% 169.81/25.78  | | | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | | | CLOSE: (264) is inconsistent.
% 169.81/25.78  | | | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | | Case 2:
% 169.81/25.78  | | | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | | |   (265)  all_58_16 = e3
% 169.81/25.78  | | | | | | | | | | | | | | | |   (266)   ~ (all_58_17 = e2)
% 169.81/25.78  | | | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | | | COMBINE_EQS: (51), (265) imply:
% 169.81/25.78  | | | | | | | | | | | | | | | |   (267)  all_6_2 = e3
% 169.81/25.78  | | | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | | | SIMP: (267) implies:
% 169.81/25.78  | | | | | | | | | | | | | | | |   (268)  all_6_2 = e3
% 169.81/25.78  | | | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | | | COMBINE_EQS: (30), (268) imply:
% 169.81/25.78  | | | | | | | | | | | | | | | |   (269)  all_56_0 = e3
% 169.81/25.78  | | | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | | | REDUCE: (113), (266) imply:
% 169.81/25.78  | | | | | | | | | | | | | | | |   (270)   ~ (e2 = e0)
% 169.81/25.78  | | | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 169.81/25.78  | | | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | | | Case 1:
% 169.81/25.78  | | | | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | | | |   (271)  all_56_0 = e2
% 169.81/25.78  | | | | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (271) imply:
% 169.81/25.78  | | | | | | | | | | | | | | | | |   (272)  e3 = e2
% 169.81/25.78  | | | | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (94), (113), (261), (265), (272) are
% 169.81/25.78  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #412.
% 169.81/25.78  | | | | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | | | Case 2:
% 169.81/25.78  | | | | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | | | |   (273)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 169.81/25.78  | | | | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (42), (43), (54), (64), (79), (87), (94),
% 169.81/25.78  | | | | | | | | | | | | | | | | |            (110), (120), (149), (253), (273) are inconsistent
% 169.81/25.78  | | | | | | | | | | | | | | | | |            by sub-proof #416.
% 169.81/25.78  | | | | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | | | End of split
% 169.81/25.78  | | | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | | End of split
% 169.81/25.78  | | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | | End of split
% 169.81/25.78  | | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | | End of split
% 169.81/25.78  | | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | | End of split
% 169.81/25.78  | | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | | End of split
% 169.81/25.78  | | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | | End of split
% 169.81/25.78  | | | | | | | | | | 
% 169.81/25.78  | | | | | | | | | End of split
% 169.81/25.78  | | | | | | | | | 
% 169.81/25.78  | | | | | | | | End of split
% 169.81/25.78  | | | | | | | | 
% 169.81/25.78  | | | | | | | End of split
% 169.81/25.78  | | | | | | | 
% 169.81/25.78  | | | | | | End of split
% 169.81/25.78  | | | | | | 
% 169.81/25.78  | | | | | End of split
% 169.81/25.78  | | | | | 
% 169.81/25.78  | | | | End of split
% 169.81/25.78  | | | | 
% 169.81/25.78  | | | End of split
% 169.81/25.78  | | | 
% 169.81/25.78  | | Case 2:
% 169.81/25.78  | | | 
% 169.81/25.78  | | |   (274)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 169.81/25.78  | | | 
% 169.81/25.78  | | | REF_CLOSE: (52), (78), (81), (89), (97), (119), (274) are inconsistent by
% 169.81/25.78  | | |            sub-proof #940.
% 169.81/25.78  | | | 
% 169.81/25.78  | | End of split
% 169.81/25.78  | | 
% 169.81/25.78  | Case 2:
% 169.81/25.78  | | 
% 169.81/25.78  | |   (275)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.81/25.78  | | 
% 169.81/25.78  | | REF_CLOSE: (2), (14), (18), (25), (60), (63), (81), (88), (92), (275) are
% 169.81/25.78  | |            inconsistent by sub-proof #127.
% 169.81/25.78  | | 
% 169.81/25.78  | End of split
% 169.81/25.78  | 
% 169.81/25.78  End of proof
% 169.81/25.78  
% 169.81/25.78  Sub-proof #47 shows that the following formulas are inconsistent:
% 169.81/25.78  ----------------------------------------------------------------
% 169.81/25.78    (1)  all_56_12 = all_52_3
% 169.81/25.78    (2)   ~ (e3 = e1)
% 169.81/25.78    (3)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 169.81/25.78    (4)  all_56_0 = all_6_2
% 169.81/25.78    (5)  all_58_19 = all_52_3
% 169.81/25.78    (6)  all_56_2 = e0
% 169.81/25.78    (7)   ~ (all_52_2 = e1)
% 169.81/25.78    (8)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.81/25.78    (9)   ~ (all_52_3 = e1)
% 169.81/25.78    (10)  all_58_18 = all_52_2
% 169.81/25.78    (11)  all_58_16 = all_6_2
% 169.81/25.78    (12)  all_58_17 = e0
% 169.81/25.78    (13)  all_56_6 = all_52_2
% 169.81/25.78    (14)   ~ (all_52_3 = e0)
% 169.81/25.78    (15)   ~ (e2 = e0)
% 169.81/25.78    (16)   ~ (e1 = e0)
% 169.81/25.78  
% 169.81/25.78  Begin of proof
% 169.81/25.78  | 
% 169.81/25.78  | BETA: splitting (8) gives:
% 169.81/25.78  | 
% 169.81/25.78  | Case 1:
% 169.81/25.78  | | 
% 169.81/25.78  | |   (17)  all_56_0 = e1
% 169.81/25.78  | | 
% 169.81/25.78  | | COMBINE_EQS: (4), (17) imply:
% 169.81/25.78  | |   (18)  all_6_2 = e1
% 169.81/25.78  | | 
% 169.81/25.78  | | COMBINE_EQS: (11), (18) imply:
% 169.81/25.78  | |   (19)  all_58_16 = e1
% 169.81/25.78  | | 
% 169.81/25.78  | | REF_CLOSE: (2), (3), (5), (7), (10), (12), (14), (15), (19) are inconsistent
% 169.81/25.78  | |            by sub-proof #937.
% 169.81/25.78  | | 
% 169.81/25.78  | Case 2:
% 169.81/25.78  | | 
% 169.81/25.78  | |   (20)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.81/25.78  | | 
% 169.81/25.78  | | REF_CLOSE: (1), (6), (7), (9), (13), (16), (20) are inconsistent by
% 169.81/25.78  | |            sub-proof #703.
% 169.81/25.78  | | 
% 169.81/25.78  | End of split
% 169.81/25.78  | 
% 169.81/25.78  End of proof
% 169.81/25.78  
% 169.81/25.78  Sub-proof #48 shows that the following formulas are inconsistent:
% 169.81/25.78  ----------------------------------------------------------------
% 169.81/25.78    (1)   ~ (all_52_12 = all_14_2)
% 169.81/25.78    (2)  all_56_1 = all_52_4
% 169.81/25.78    (3)  op(all_4_2, e2) = e0
% 169.81/25.78    (4)  all_56_12 = all_52_3
% 169.81/25.78    (5)  op(e1, e3) = all_52_2
% 169.81/25.78    (6)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 169.81/25.78    (7)   ~ (all_10_2 = e0)
% 169.81/25.78    (8)   ~ (e3 = e1)
% 169.81/25.78    (9)  all_58_23 = all_52_7
% 169.81/25.78    (10)   ~ (all_52_2 = all_6_2)
% 169.81/25.78    (11)   ~ (all_52_3 = all_14_2)
% 169.81/25.78    (12)   ~ (all_52_4 = all_4_2)
% 169.81/25.78    (13)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 169.81/25.78    (14)  all_56_5 = all_52_9
% 169.81/25.78    (15)   ~ (all_52_3 = all_52_11)
% 169.81/25.78    (16)   ~ (all_52_12 = all_6_2)
% 169.81/25.78    (17)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 169.81/25.78    (18)   ~ (all_52_6 = all_4_2)
% 169.81/25.78    (19)  op(e3, all_6_2) = all_58_0
% 169.81/25.78    (20)  all_56_15 = all_14_2
% 169.81/25.78    (21)  op(e0, e2) = all_52_7
% 169.81/25.78    (22)  all_54_1 = all_52_4
% 169.81/25.78    (23)   ~ (all_52_9 = all_4_2)
% 169.81/25.78    (24)   ~ (all_52_3 = all_52_7)
% 169.81/25.78    (25)  all_54_6 = all_52_9
% 169.81/25.78    (26)  all_56_14 = all_52_11
% 169.81/25.78    (27)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 169.81/25.78    (28)   ~ (all_26_0 = e1) |  ~ (all_26_2 = e2)
% 169.81/25.78    (29)   ~ (all_52_13 = all_4_2)
% 169.81/25.78    (30)  all_12_2 = all_6_2
% 169.81/25.78    (31)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 169.81/25.78    (32)  all_56_8 = all_10_2
% 169.81/25.78    (33)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 169.81/25.78    (34)  all_26_0 = all_6_0
% 169.81/25.78    (35)  all_58_26 = all_10_2
% 169.81/25.78    (36)   ~ (all_52_4 = all_52_6)
% 169.81/25.78    (37)  all_58_31 = all_14_2
% 169.81/25.78    (38)   ~ (all_52_11 = all_10_2)
% 169.81/25.78    (39)   ~ (all_52_9 = all_52_13)
% 169.81/25.78    (40)   ~ (all_52_3 = all_6_2)
% 169.81/25.78    (41)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 169.81/25.78    (42)   ~ (all_52_1 = all_6_2)
% 169.81/25.78    (43)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) & (all_56_12 = e0 |
% 169.81/25.78            all_56_13 = e0 | all_56_14 = e0)
% 169.81/25.78    (44)  all_56_11 = all_52_14
% 169.81/25.78    (45)   ~ (all_52_6 = all_52_7)
% 169.81/25.78    (46)  all_56_0 = all_6_2
% 169.81/25.78    (47)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 169.81/25.78    (48)  all_58_30 = all_52_14
% 169.81/25.78    (49)  all_58_27 = all_52_11
% 169.81/25.78    (50)  all_54_14 = all_52_11
% 169.81/25.78    (51)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 169.81/25.78    (52)  all_58_17 = all_52_1
% 169.81/25.78    (53)  all_58_19 = all_52_3
% 169.81/25.78    (54)  all_56_9 = all_52_12
% 169.81/25.78    (55)   ~ (all_52_2 = all_52_6)
% 169.81/25.78    (56)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 169.81/25.78    (57)   ~ (e3 = e2)
% 169.81/25.78    (58)   ~ (all_52_4 = all_52_7)
% 169.81/25.78    (59)   ~ (e2 = e1)
% 169.81/25.78    (60)   ~ (all_52_6 = all_10_2)
% 169.81/25.78    (61)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 169.81/25.78    (62)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 169.81/25.78    (63)  op(e0, e1) = all_52_11
% 169.81/25.78    (64)   ~ (all_52_7 = all_14_2)
% 169.81/25.78    (65)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 169.81/25.78    (66)  all_26_2 = all_6_2
% 169.81/25.78    (67)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 169.81/25.78    (68)   ~ (all_52_13 = all_14_2)
% 169.81/25.78    (69)   ~ (all_52_1 = all_4_2)
% 169.81/25.78    (70)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.81/25.78    (71)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 169.81/25.78    (72)  all_54_9 = all_52_6
% 169.81/25.78    (73)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 169.81/25.78    (74)   ~ (all_52_13 = all_52_14)
% 169.81/25.78    (75)  op(e2, e3) = all_52_1
% 169.81/25.78    (76)  all_58_18 = all_52_2
% 169.81/25.78    (77)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 169.81/25.78    (78)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 169.81/25.78    (79)  all_58_16 = all_6_2
% 169.81/25.78    (80)  all_56_13 = all_52_7
% 169.81/25.78    (81)  op(e0, e3) = all_52_3
% 169.81/25.78    (82)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 169.81/25.78    (83)   ~ (all_52_8 = all_52_9)
% 169.81/25.78    (84)   ~ (all_52_4 = all_6_2)
% 169.81/25.78    (85)  all_56_2 = all_52_1
% 169.81/25.78    (86)   ~ (all_12_0 = e2) |  ~ (all_12_2 = e1)
% 169.81/25.78    (87)   ~ (e3 = e0)
% 169.81/25.78    (88)  all_58_29 = all_52_13
% 169.81/25.78    (89)   ~ (all_52_1 = all_52_2)
% 169.81/25.78    (90)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 169.81/25.78    (91)   ~ (all_52_6 = all_52_14)
% 169.81/25.78    (92)   ~ (all_52_7 = all_4_2)
% 169.81/25.78    (93)   ~ (all_52_8 = all_10_2)
% 169.81/25.78    (94)  all_56_4 = all_52_8
% 169.81/25.78    (95)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.81/25.78    (96)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 169.81/25.78    (97)   ~ (all_52_1 = all_52_13)
% 169.81/25.78    (98)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 169.81/25.78    (99)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 169.81/25.78    (100)  all_58_20 = all_52_4
% 169.81/25.78    (101)  all_54_13 = all_52_7
% 169.81/25.78    (102)  all_54_15 = all_14_2
% 169.81/25.78    (103)   ~ (all_52_7 = all_52_11)
% 169.81/25.78    (104)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 169.81/25.78    (105)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 169.81/25.78    (106)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 169.81/25.78    (107)   ~ (all_52_8 = all_52_11)
% 169.81/25.78    (108)   ~ (all_52_8 = all_6_2)
% 169.81/25.78    (109)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 169.81/25.78    (110)  all_56_6 = all_52_2
% 169.81/25.78    (111)   ~ (all_52_1 = all_52_9)
% 169.81/25.78    (112)  op(e3, e3) = all_6_2
% 169.81/25.78    (113)  all_58_24 = all_52_8
% 169.81/25.78    (114)   ~ (all_52_12 = all_52_14)
% 169.81/25.78    (115)   ~ (all_52_9 = all_52_11)
% 169.81/25.78    (116)  all_58_22 = all_52_6
% 169.81/25.78    (117)   ~ (all_52_4 = all_52_12)
% 169.81/25.78    (118)  all_56_3 = all_4_2
% 169.81/25.78    (119)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 169.81/25.78    (120)  all_54_0 = all_6_2
% 169.81/25.78    (121)   ~ (all_52_14 = all_10_2)
% 169.81/25.78    (122)   ~ (all_52_2 = all_52_3)
% 169.81/25.78    (123)   ~ (all_52_4 = all_52_8)
% 169.81/25.78    (124)   ~ (all_52_14 = all_14_2)
% 169.81/25.78    (125)  all_58_25 = all_52_9
% 169.81/25.78    (126)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 169.81/25.78    (127)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.81/25.78             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.81/25.78    (128)  all_54_12 = all_52_3
% 169.81/25.78    (129)   ~ (all_52_2 = all_52_14)
% 169.81/25.78    (130)  op(e0, all_14_2) = all_58_15
% 169.81/25.78    (131)  all_58_21 = all_4_2
% 169.81/25.78    (132)  all_56_10 = all_52_13
% 169.81/25.78    (133)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 169.81/25.78    (134)   ~ (e2 = e0)
% 169.81/25.78    (135)   ~ (all_52_1 = all_52_3)
% 169.81/25.78    (136)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 169.81/25.78    (137)  all_58_28 = all_52_12
% 169.81/25.78    (138)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 169.81/25.78    (139)   ~ (e1 = e0)
% 169.81/25.78    (140)  op(all_6_2, e3) = e0
% 169.81/25.78    (141)  all_56_7 = all_52_6
% 169.81/25.78    (142)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 169.81/25.78    (143)  all_54_5 = all_4_2
% 169.81/25.78    (144)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 169.81/25.78    (145)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 169.81/25.78           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 169.81/25.78           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 169.81/25.78           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 169.81/25.78           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 169.81/25.78           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 169.81/25.78           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 169.81/25.78           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 169.81/25.78           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 169.81/25.78           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 169.81/25.78             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 169.81/25.78             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 169.81/25.78             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 169.81/25.78             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 169.81/25.78             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 169.81/25.78             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 169.81/25.78             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 169.81/25.78             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 169.81/25.78             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 169.81/25.78             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 169.81/25.78             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 169.81/25.78             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 169.81/25.78             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 169.81/25.78             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 169.81/25.78             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 169.81/25.78             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 169.81/25.78           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 169.81/25.78           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 169.81/25.78           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 169.81/25.78             all_58_30 = e0 & e1 = e0)
% 169.81/25.78    (146)  all_54_7 = all_52_13
% 169.81/25.78    (147)   ~ (all_52_2 = all_10_2)
% 169.81/25.78    (148)  all_56_0 = e3 | all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3
% 169.81/25.78    (149)  op(e0, all_6_2) = all_6_0
% 169.81/25.78    (150)  all_12_0 = all_6_0
% 169.81/25.78    (151)   ~ (all_52_12 = all_52_13)
% 169.81/25.78  
% 169.81/25.78  Begin of proof
% 169.81/25.78  | 
% 169.81/25.78  | ALPHA: (43) implies:
% 169.81/25.78  |   (152)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 169.81/25.78  |   (153)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 169.81/25.78  | 
% 169.81/25.78  | BETA: splitting (136) gives:
% 169.81/25.78  | 
% 169.81/25.78  | Case 1:
% 169.81/25.78  | | 
% 169.81/25.78  | |   (154)  all_54_13 = e0
% 169.81/25.78  | | 
% 169.81/25.78  | | COMBINE_EQS: (101), (154) imply:
% 169.81/25.78  | |   (155)  all_52_7 = e0
% 169.81/25.78  | | 
% 169.81/25.78  | | SIMP: (155) implies:
% 169.81/25.78  | |   (156)  all_52_7 = e0
% 169.81/25.78  | | 
% 169.81/25.78  | | REDUCE: (64), (156) imply:
% 169.81/25.78  | |   (157)   ~ (all_14_2 = e0)
% 169.81/25.78  | | 
% 169.81/25.78  | | SIMP: (157) implies:
% 169.81/25.78  | |   (158)   ~ (all_14_2 = e0)
% 169.81/25.78  | | 
% 169.81/25.78  | | REDUCE: (92), (156) imply:
% 169.81/25.78  | |   (159)   ~ (all_4_2 = e0)
% 169.81/25.78  | | 
% 169.81/25.78  | | SIMP: (159) implies:
% 169.81/25.78  | |   (160)   ~ (all_4_2 = e0)
% 169.81/25.78  | | 
% 169.81/25.78  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 169.81/25.78  | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 169.81/25.78  | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 169.81/25.78  | |            (36), (37), (38), (39), (40), (41), (42), (44), (45), (46), (47),
% 169.81/25.78  | |            (48), (49), (50), (51), (52), (53), (54), (55), (56), (57), (58),
% 169.81/25.78  | |            (59), (60), (61), (62), (63), (64), (65), (66), (67), (68), (69),
% 169.81/25.78  | |            (70), (71), (72), (73), (74), (75), (76), (77), (78), (79), (80),
% 169.81/25.78  | |            (81), (82), (83), (84), (85), (86), (87), (88), (89), (90), (91),
% 169.81/25.78  | |            (92), (93), (94), (95), (96), (97), (98), (99), (100), (101),
% 169.81/25.78  | |            (102), (103), (104), (105), (106), (107), (108), (109), (110),
% 169.81/25.78  | |            (111), (112), (113), (114), (115), (116), (117), (118), (119),
% 169.81/25.78  | |            (120), (121), (122), (123), (124), (125), (126), (127), (128),
% 169.81/25.78  | |            (129), (130), (131), (132), (133), (134), (135), (136), (137),
% 169.81/25.78  | |            (138), (139), (140), (141), (142), (143), (144), (145), (146),
% 169.81/25.78  | |            (147), (148), (149), (150), (151), (152), (153), (158), (160) are
% 169.81/25.78  | |            inconsistent by sub-proof #336.
% 169.81/25.78  | | 
% 169.81/25.78  | Case 2:
% 169.81/25.78  | | 
% 169.81/25.78  | |   (161)   ~ (all_54_13 = e0)
% 169.81/25.78  | |   (162)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 169.81/25.78  | | 
% 169.81/25.78  | | REDUCE: (101), (161) imply:
% 169.81/25.78  | |   (163)   ~ (all_52_7 = e0)
% 169.81/25.78  | | 
% 169.81/25.78  | | BETA: splitting (67) gives:
% 169.81/25.78  | | 
% 169.81/25.78  | | Case 1:
% 169.81/25.78  | | | 
% 169.81/25.78  | | |   (164)  all_54_7 = e0
% 169.81/25.78  | | | 
% 169.81/25.78  | | | COMBINE_EQS: (146), (164) imply:
% 169.81/25.78  | | |   (165)  all_52_13 = e0
% 169.81/25.78  | | | 
% 169.81/25.78  | | | REDUCE: (68), (165) imply:
% 169.81/25.78  | | |   (166)   ~ (all_14_2 = e0)
% 169.81/25.78  | | | 
% 169.81/25.78  | | | SIMP: (166) implies:
% 169.81/25.78  | | |   (167)   ~ (all_14_2 = e0)
% 169.81/25.78  | | | 
% 169.81/25.78  | | | REDUCE: (29), (165) imply:
% 169.81/25.78  | | |   (168)   ~ (all_4_2 = e0)
% 169.81/25.78  | | | 
% 169.81/25.78  | | | SIMP: (168) implies:
% 169.81/25.78  | | |   (169)   ~ (all_4_2 = e0)
% 169.81/25.78  | | | 
% 169.81/25.78  | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 169.81/25.78  | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 169.81/25.78  | | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33),
% 169.81/25.78  | | |            (34), (35), (36), (37), (38), (39), (40), (41), (42), (44),
% 169.81/25.78  | | |            (45), (46), (47), (48), (49), (50), (51), (52), (53), (54),
% 169.81/25.78  | | |            (55), (56), (57), (58), (59), (60), (61), (62), (63), (64),
% 169.81/25.78  | | |            (65), (66), (67), (68), (69), (70), (71), (72), (73), (74),
% 169.81/25.78  | | |            (75), (76), (77), (78), (79), (80), (81), (82), (83), (84),
% 169.81/25.78  | | |            (85), (86), (87), (88), (89), (90), (91), (92), (93), (94),
% 169.81/25.78  | | |            (95), (96), (97), (98), (99), (100), (101), (102), (103),
% 169.81/25.78  | | |            (104), (105), (106), (107), (108), (109), (110), (111), (112),
% 169.81/25.78  | | |            (113), (114), (115), (116), (117), (118), (119), (120), (121),
% 169.81/25.78  | | |            (122), (123), (124), (125), (126), (127), (128), (129), (130),
% 169.81/25.78  | | |            (131), (132), (133), (134), (135), (136), (137), (138), (139),
% 169.81/25.78  | | |            (140), (141), (142), (143), (144), (145), (146), (147), (148),
% 169.81/25.78  | | |            (149), (150), (151), (152), (153), (167), (169) are
% 169.81/25.78  | | |            inconsistent by sub-proof #336.
% 169.81/25.78  | | | 
% 169.81/25.78  | | Case 2:
% 169.81/25.78  | | | 
% 169.81/25.78  | | |   (170)   ~ (all_54_7 = e0)
% 169.81/25.78  | | | 
% 169.81/25.78  | | | REDUCE: (146), (170) imply:
% 169.81/25.78  | | |   (171)   ~ (all_52_13 = e0)
% 169.81/25.78  | | | 
% 169.81/25.78  | | | BETA: splitting (99) gives:
% 169.81/25.78  | | | 
% 169.81/25.78  | | | Case 1:
% 169.81/25.78  | | | | 
% 169.81/25.78  | | | |   (172)  all_54_12 = e0
% 169.81/25.78  | | | | 
% 169.81/25.78  | | | | COMBINE_EQS: (128), (172) imply:
% 169.81/25.78  | | | |   (173)  all_52_3 = e0
% 169.81/25.78  | | | | 
% 169.81/25.78  | | | | REDUCE: (24), (173) imply:
% 169.81/25.78  | | | |   (174)   ~ (all_52_7 = e0)
% 169.81/25.78  | | | | 
% 169.81/25.78  | | | | REDUCE: (15), (173) imply:
% 169.81/25.78  | | | |   (175)   ~ (all_52_11 = e0)
% 169.81/25.78  | | | | 
% 169.81/25.78  | | | | SIMP: (175) implies:
% 169.81/25.78  | | | |   (176)   ~ (all_52_11 = e0)
% 169.81/25.78  | | | | 
% 169.81/25.78  | | | | BETA: splitting (152) gives:
% 169.81/25.78  | | | | 
% 169.81/25.78  | | | | Case 1:
% 169.81/25.78  | | | | | 
% 169.81/25.78  | | | | |   (177)  all_56_12 = e0
% 169.81/25.78  | | | | | 
% 169.81/25.78  | | | | | REDUCE: (135), (173) imply:
% 169.81/25.78  | | | | |   (178)   ~ (all_52_1 = e0)
% 169.81/25.78  | | | | | 
% 169.81/25.78  | | | | | REDUCE: (122), (173) imply:
% 169.81/25.78  | | | | |   (179)   ~ (all_52_2 = e0)
% 169.81/25.78  | | | | | 
% 169.81/25.78  | | | | | REF_CLOSE: (5), (6), (19), (31), (40), (46), (75), (77), (81), (104),
% 169.81/25.78  | | | | |            (112), (120), (127), (140), (178), (179) are inconsistent
% 169.81/25.78  | | | | |            by sub-proof #50.
% 169.81/25.78  | | | | | 
% 169.81/25.78  | | | | Case 2:
% 169.81/25.78  | | | | | 
% 169.81/25.78  | | | | |   (180)  all_56_13 = e0 | all_56_14 = e0
% 169.81/25.78  | | | | | 
% 169.81/25.78  | | | | | REF_CLOSE: (26), (80), (163), (176), (180) are inconsistent by
% 169.81/25.78  | | | | |            sub-proof #49.
% 169.81/25.78  | | | | | 
% 169.81/25.78  | | | | End of split
% 169.81/25.78  | | | | 
% 169.81/25.78  | | | Case 2:
% 169.81/25.78  | | | | 
% 169.81/25.78  | | | |   (181)   ~ (all_54_12 = e0)
% 169.81/25.78  | | | |   (182)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 169.81/25.78  | | | | 
% 169.81/25.78  | | | | REDUCE: (128), (181) imply:
% 169.81/25.78  | | | |   (183)   ~ (all_52_3 = e0)
% 169.81/25.78  | | | | 
% 169.81/25.78  | | | | BETA: splitting (152) gives:
% 169.81/25.78  | | | | 
% 169.81/25.78  | | | | Case 1:
% 169.81/25.78  | | | | | 
% 169.81/25.78  | | | | |   (184)  all_56_12 = e0
% 169.81/25.78  | | | | | 
% 169.81/25.78  | | | | | REF_CLOSE: (4), (183), (184) are inconsistent by sub-proof #919.
% 169.81/25.78  | | | | | 
% 169.81/25.78  | | | | Case 2:
% 169.81/25.78  | | | | | 
% 169.81/25.78  | | | | |   (185)  all_56_13 = e0 | all_56_14 = e0
% 169.81/25.78  | | | | | 
% 169.81/25.78  | | | | | BETA: splitting (185) gives:
% 169.81/25.78  | | | | | 
% 169.81/25.78  | | | | | Case 1:
% 169.81/25.78  | | | | | | 
% 169.81/25.78  | | | | | |   (186)  all_56_13 = e0
% 169.81/25.78  | | | | | | 
% 169.81/25.78  | | | | | | REF_CLOSE: (80), (163), (186) are inconsistent by sub-proof #942.
% 169.81/25.78  | | | | | | 
% 169.81/25.78  | | | | | Case 2:
% 169.81/25.78  | | | | | | 
% 169.81/25.78  | | | | | |   (187)  all_56_14 = e0
% 169.81/25.78  | | | | | | 
% 169.81/25.78  | | | | | | COMBINE_EQS: (26), (187) imply:
% 169.81/25.78  | | | | | |   (188)  all_52_11 = e0
% 169.81/25.78  | | | | | | 
% 169.81/25.78  | | | | | | SIMP: (188) implies:
% 169.81/25.78  | | | | | |   (189)  all_52_11 = e0
% 169.81/25.78  | | | | | | 
% 169.81/25.78  | | | | | | COMBINE_EQS: (49), (189) imply:
% 169.81/25.78  | | | | | |   (190)  all_58_27 = e0
% 169.81/25.78  | | | | | | 
% 169.81/25.78  | | | | | | REDUCE: (115), (189) imply:
% 169.81/25.78  | | | | | |   (191)   ~ (all_52_9 = e0)
% 169.81/25.78  | | | | | | 
% 169.81/25.78  | | | | | | BETA: splitting (95) gives:
% 169.81/25.78  | | | | | | 
% 169.81/25.78  | | | | | | Case 1:
% 169.81/25.78  | | | | | | | 
% 169.81/25.78  | | | | | | |   (192)  all_56_2 = e0
% 169.81/25.78  | | | | | | | 
% 169.81/25.78  | | | | | | | COMBINE_EQS: (85), (192) imply:
% 169.81/25.78  | | | | | | |   (193)  all_52_1 = e0
% 169.81/25.78  | | | | | | | 
% 169.81/25.78  | | | | | | | REDUCE: (135), (193) imply:
% 169.81/25.78  | | | | | | |   (194)   ~ (all_52_3 = e0)
% 169.81/25.78  | | | | | | | 
% 169.81/25.78  | | | | | | | REDUCE: (111), (193) imply:
% 169.81/25.78  | | | | | | |   (195)   ~ (all_52_9 = e0)
% 169.81/25.78  | | | | | | | 
% 169.81/25.78  | | | | | | | REDUCE: (69), (193) imply:
% 169.81/25.78  | | | | | | |   (196)   ~ (all_4_2 = e0)
% 169.81/25.78  | | | | | | | 
% 169.81/25.78  | | | | | | | SIMP: (196) implies:
% 169.81/25.78  | | | | | | |   (197)   ~ (all_4_2 = e0)
% 169.81/25.78  | | | | | | | 
% 169.81/25.78  | | | | | | | REF_CLOSE: (1), (2), (4), (5), (6), (8), (9), (10), (11), (12),
% 169.81/25.78  | | | | | | |            (13), (14), (16), (18), (19), (20), (21), (22), (23),
% 169.81/25.78  | | | | | | |            (24), (25), (27), (28), (29), (31), (33), (34), (35),
% 169.81/25.78  | | | | | | |            (37), (39), (40), (42), (44), (45), (46), (48), (51),
% 169.81/25.78  | | | | | | |            (52), (53), (54), (55), (57), (58), (59), (60), (62),
% 169.81/25.78  | | | | | | |            (64), (65), (66), (68), (69), (70), (71), (73), (74),
% 169.81/25.78  | | | | | | |            (76), (77), (78), (79), (80), (81), (84), (85), (87),
% 169.81/25.78  | | | | | | |            (88), (89), (90), (91), (92), (95), (96), (97), (100),
% 169.81/25.78  | | | | | | |            (101), (104), (106), (109), (110), (111), (112), (116),
% 169.81/25.78  | | | | | | |            (117), (118), (119), (120), (122), (125), (127), (128),
% 169.81/25.78  | | | | | | |            (129), (130), (131), (132), (133), (134), (135), (137),
% 169.81/25.78  | | | | | | |            (139), (140), (141), (142), (145), (147), (148), (149),
% 169.81/25.78  | | | | | | |            (151), (153), (162), (163), (182), (183), (190), (191),
% 169.81/25.78  | | | | | | |            (197) are inconsistent by sub-proof #337.
% 169.81/25.78  | | | | | | | 
% 169.81/25.78  | | | | | | Case 2:
% 169.81/25.78  | | | | | | | 
% 169.81/25.79  | | | | | | |   (198)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.81/25.79  | | | | | | | 
% 169.81/25.79  | | | | | | | REF_CLOSE: (3), (14), (21), (92), (118), (127), (132), (171),
% 169.81/25.79  | | | | | | |            (191), (198) are inconsistent by sub-proof #127.
% 169.81/25.79  | | | | | | | 
% 169.81/25.79  | | | | | | End of split
% 169.81/25.79  | | | | | | 
% 169.81/25.79  | | | | | End of split
% 169.81/25.79  | | | | | 
% 169.81/25.79  | | | | End of split
% 169.81/25.79  | | | | 
% 169.81/25.79  | | | End of split
% 169.81/25.79  | | | 
% 169.81/25.79  | | End of split
% 169.81/25.79  | | 
% 169.81/25.79  | End of split
% 169.81/25.79  | 
% 169.81/25.79  End of proof
% 169.81/25.79  
% 169.81/25.79  Sub-proof #49 shows that the following formulas are inconsistent:
% 169.81/25.79  ----------------------------------------------------------------
% 169.81/25.79    (1)  all_56_13 = e0 | all_56_14 = e0
% 169.81/25.79    (2)  all_56_14 = all_52_11
% 169.81/25.79    (3)  all_56_13 = all_52_7
% 169.81/25.79    (4)   ~ (all_52_7 = e0)
% 169.81/25.79    (5)   ~ (all_52_11 = e0)
% 169.81/25.79  
% 169.81/25.79  Begin of proof
% 169.81/25.79  | 
% 169.81/25.79  | BETA: splitting (1) gives:
% 169.81/25.79  | 
% 169.81/25.79  | Case 1:
% 169.81/25.79  | | 
% 169.81/25.79  | |   (6)  all_56_13 = e0
% 169.81/25.79  | | 
% 169.81/25.79  | | REF_CLOSE: (3), (4), (6) are inconsistent by sub-proof #942.
% 169.81/25.79  | | 
% 169.81/25.79  | Case 2:
% 169.81/25.79  | | 
% 169.81/25.79  | |   (7)  all_56_14 = e0
% 169.81/25.79  | | 
% 169.81/25.79  | | REF_CLOSE: (2), (5), (7) are inconsistent by sub-proof #915.
% 169.81/25.79  | | 
% 169.81/25.79  | End of split
% 169.81/25.79  | 
% 169.81/25.79  End of proof
% 169.81/25.79  
% 169.81/25.79  Sub-proof #50 shows that the following formulas are inconsistent:
% 169.81/25.79  ----------------------------------------------------------------
% 169.81/25.79    (1)  op(e1, e3) = all_52_2
% 169.81/25.79    (2)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 169.81/25.79    (3)  op(e3, all_6_2) = all_58_0
% 169.81/25.79    (4)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 169.81/25.79    (5)   ~ (all_52_3 = all_6_2)
% 169.81/25.79    (6)  all_56_0 = all_6_2
% 169.81/25.79    (7)   ~ (all_52_2 = e0)
% 169.81/25.79    (8)  op(e2, e3) = all_52_1
% 169.81/25.79    (9)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 169.81/25.79    (10)  op(e0, e3) = all_52_3
% 169.81/25.79    (11)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 169.81/25.79    (12)  op(e3, e3) = all_6_2
% 169.81/25.79    (13)  all_54_0 = all_6_2
% 169.81/25.79    (14)   ~ (all_52_1 = e0)
% 169.81/25.79    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.81/25.79            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.81/25.79    (16)  op(all_6_2, e3) = e0
% 169.81/25.79  
% 169.81/25.79  Begin of proof
% 169.81/25.79  | 
% 169.81/25.79  | BETA: splitting (11) gives:
% 169.81/25.79  | 
% 169.81/25.79  | Case 1:
% 169.81/25.79  | | 
% 169.81/25.79  | |   (17)  all_56_0 = e0
% 169.81/25.79  | | 
% 169.81/25.79  | | COMBINE_EQS: (6), (17) imply:
% 169.81/25.79  | |   (18)  all_6_2 = e0
% 169.81/25.79  | | 
% 169.81/25.79  | | REF_CLOSE: (5), (10), (15), (16), (18) are inconsistent by sub-proof #357.
% 169.81/25.79  | | 
% 169.81/25.79  | Case 2:
% 169.81/25.79  | | 
% 169.81/25.79  | |   (19)   ~ (all_56_0 = e0)
% 169.81/25.79  | | 
% 169.81/25.79  | | REDUCE: (6), (19) imply:
% 169.81/25.79  | |   (20)   ~ (all_6_2 = e0)
% 169.81/25.79  | | 
% 169.81/25.79  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (12), (13), (14), (15),
% 169.81/25.79  | |            (16), (20) are inconsistent by sub-proof #348.
% 169.81/25.79  | | 
% 169.81/25.79  | End of split
% 169.81/25.79  | 
% 169.81/25.79  End of proof
% 169.81/25.79  
% 169.81/25.79  Sub-proof #51 shows that the following formulas are inconsistent:
% 169.81/25.79  ----------------------------------------------------------------
% 169.81/25.79    (1)   ~ (all_52_12 = all_14_2)
% 169.81/25.79    (2)  op(e0, e0) = all_14_2
% 169.81/25.79    (3)  all_56_1 = all_52_4
% 169.81/25.79    (4)  op(all_4_2, e2) = e0
% 169.81/25.79    (5)  all_56_12 = all_52_3
% 169.81/25.79    (6)  all_56_15 = e0 | ((all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 169.81/25.79           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0))
% 169.81/25.79    (7)  op(e1, all_52_14) = all_58_11
% 169.81/25.79    (8)   ~ (all_10_2 = e0)
% 169.81/25.79    (9)   ~ (all_52_8 = all_52_12)
% 169.81/25.79    (10)   ~ (e3 = e1)
% 169.81/25.79    (11)  all_58_23 = all_52_7
% 169.81/25.79    (12)   ~ (all_52_2 = all_6_2)
% 169.81/25.79    (13)   ~ (all_52_4 = all_4_2)
% 169.81/25.79    (14)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 169.81/25.79    (15)  all_54_3 = all_52_12
% 169.81/25.79    (16)  all_56_5 = all_52_9
% 169.81/25.79    (17)   ~ (all_52_3 = all_52_11)
% 169.81/25.79    (18)  op(all_6_2, e3) = all_6_1
% 169.81/25.79    (19)   ~ (all_52_12 = all_6_2)
% 169.81/25.79    (20)  op(e2, e0) = all_52_13
% 169.81/25.79    (21)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 169.81/25.79    (22)   ~ (all_52_6 = all_4_2)
% 169.81/25.79    (23)  op(e3, all_6_2) = all_58_0
% 169.81/25.79    (24)  op(e1, e0) = all_52_14
% 169.81/25.79    (25)  all_56_15 = all_14_2
% 169.81/25.79    (26)  op(e0, e2) = all_52_7
% 169.81/25.79    (27)  all_54_1 = all_52_4
% 169.81/25.79    (28)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 169.81/25.79    (29)   ~ (all_52_9 = all_4_2)
% 169.81/25.79    (30)   ~ (all_52_3 = all_52_7)
% 169.81/25.79    (31)  all_54_6 = all_52_9
% 169.81/25.79    (32)  all_56_14 = all_52_11
% 169.81/25.79    (33)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 169.81/25.79    (34)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 169.81/25.79    (35)   ~ (all_52_13 = all_4_2)
% 169.81/25.79    (36)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 169.81/25.79    (37)  all_56_8 = all_10_2
% 169.81/25.79    (38)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 169.81/25.79    (39)  all_58_26 = all_10_2
% 169.81/25.79    (40)   ~ (all_52_4 = all_52_6)
% 169.81/25.79    (41)  all_58_31 = all_14_2
% 169.81/25.79    (42)   ~ (all_52_11 = all_10_2)
% 169.81/25.79    (43)   ~ (all_52_9 = all_52_13)
% 169.81/25.79    (44)   ~ (all_52_3 = all_6_2)
% 169.81/25.79    (45)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 169.81/25.79    (46)   ~ (all_52_1 = all_6_2)
% 169.81/25.79    (47)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 169.81/25.79    (48)  all_54_2 = all_52_8
% 169.81/25.79    (49)  all_56_11 = all_52_14
% 169.81/25.79    (50)   ~ (all_52_6 = all_52_7)
% 169.81/25.79    (51)  all_56_0 = all_6_2
% 169.81/25.79    (52)   ~ (all_52_9 = all_10_2)
% 169.81/25.79    (53)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 169.81/25.79    (54)  all_58_30 = all_52_14
% 169.81/25.79    (55)  all_58_27 = all_52_11
% 169.81/25.79    (56)  all_54_14 = all_52_11
% 169.81/25.79    (57)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 169.81/25.79    (58)  all_58_17 = all_52_1
% 169.81/25.79    (59)  all_58_19 = all_52_3
% 169.81/25.79    (60)  all_56_9 = all_52_12
% 169.81/25.79    (61)   ~ (all_52_2 = all_52_6)
% 169.81/25.79    (62)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 169.81/25.79    (63)   ~ (e3 = e2)
% 169.81/25.79    (64)   ~ (all_52_4 = all_52_7)
% 169.81/25.79    (65)   ~ (e2 = e1)
% 169.81/25.79    (66)   ~ (all_52_6 = all_10_2)
% 169.81/25.79    (67)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 169.81/25.79    (68)  op(e0, all_52_11) = all_58_14
% 169.81/25.79    (69)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 169.81/25.79    (70)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 169.81/25.79    (71)   ~ (all_52_13 = all_14_2)
% 169.81/25.79    (72)   ~ (all_52_1 = all_4_2)
% 169.81/25.79    (73)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.81/25.79    (74)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 169.81/25.79    (75)  all_54_9 = all_52_6
% 169.81/25.79    (76)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 169.81/25.79    (77)   ~ (all_52_13 = all_52_14)
% 169.81/25.79    (78)  all_58_18 = all_52_2
% 169.81/25.79    (79)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 169.81/25.79    (80)  all_58_16 = all_6_2
% 169.81/25.79    (81)  all_56_13 = all_52_7
% 169.81/25.79    (82)  op(e0, e3) = all_52_3
% 169.81/25.79    (83)  op(e0, all_52_7) = all_58_13
% 169.81/25.79    (84)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 169.81/25.79    (85)   ~ (all_52_8 = all_52_9)
% 169.81/25.79    (86)   ~ (all_52_4 = all_6_2)
% 169.81/25.79    (87)  all_56_2 = all_52_1
% 169.81/25.79    (88)   ~ (e3 = e0)
% 169.81/25.79    (89)  op(e3, e0) = all_52_12
% 169.81/25.79    (90)  all_58_29 = all_52_13
% 169.81/25.79    (91)   ~ (all_52_1 = all_52_2)
% 169.81/25.79    (92)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 169.81/25.79    (93)  all_6_2 = e0
% 169.81/25.79    (94)   ~ (all_52_6 = all_52_14)
% 169.81/25.79    (95)   ~ (all_52_7 = all_4_2)
% 169.81/25.79    (96)   ~ (all_52_8 = all_10_2)
% 169.81/25.79    (97)  all_56_4 = all_52_8
% 169.81/25.79    (98)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 169.81/25.79    (99)   ~ (all_52_1 = all_52_13)
% 169.81/25.79    (100)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 169.81/25.79    (101)  all_58_20 = all_52_4
% 169.81/25.79    (102)  all_54_15 = all_14_2
% 169.81/25.79    (103)   ~ (all_52_7 = all_52_11)
% 169.81/25.79    (104)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 169.81/25.79    (105)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 169.81/25.79    (106)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 169.81/25.79    (107)   ~ (all_52_8 = all_52_11)
% 169.81/25.79    (108)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 169.81/25.79    (109)   ~ (all_52_8 = all_6_2)
% 169.81/25.79    (110)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 169.81/25.79    (111)  all_56_6 = all_52_2
% 169.81/25.79    (112)   ~ (all_52_1 = all_52_9)
% 169.81/25.79    (113)  all_58_24 = all_52_8
% 169.81/25.79    (114)   ~ (all_52_12 = all_52_14)
% 169.81/25.79    (115)   ~ (all_52_9 = all_52_11)
% 169.81/25.79    (116)  all_58_22 = all_52_6
% 169.81/25.79    (117)  op(all_14_2, e0) = all_14_1
% 169.81/25.79    (118)   ~ (all_52_4 = all_52_12)
% 169.81/25.79    (119)  all_56_3 = all_4_2
% 169.81/25.79    (120)   ~ (all_52_14 = all_10_2)
% 169.81/25.79    (121)   ~ (all_52_2 = all_52_3)
% 169.81/25.79    (122)   ~ (all_52_4 = all_52_8)
% 169.81/25.79    (123)   ~ (all_52_14 = all_14_2)
% 169.81/25.79    (124)  all_58_25 = all_52_9
% 169.81/25.79    (125)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 169.81/25.79    (126)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.81/25.79             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.81/25.79    (127)   ~ (all_52_2 = all_52_14)
% 169.81/25.79    (128)  op(e0, all_14_2) = all_58_15
% 169.81/25.79    (129)  all_58_21 = all_4_2
% 169.81/25.79    (130)  all_56_10 = all_52_13
% 169.81/25.79    (131)  op(e2, all_52_9) = all_58_6
% 169.81/25.79    (132)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 169.81/25.79    (133)   ~ (e2 = e0)
% 169.81/25.79    (134)   ~ (all_52_1 = all_52_3)
% 169.81/25.79    (135)  all_58_28 = all_52_12
% 169.81/25.79    (136)  op(e1, all_52_6) = all_58_9
% 169.81/25.79    (137)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 169.81/25.79    (138)   ~ (e1 = e0)
% 169.81/25.79    (139)  all_54_4 = all_52_1
% 169.81/25.79    (140)  all_56_7 = all_52_6
% 169.81/25.79    (141)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 169.81/25.79             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 169.81/25.79             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 169.81/25.79             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 169.81/25.79             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 169.81/25.79             (all_58_15 = e0))
% 169.81/25.79    (142)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 169.81/25.79    (143)  all_54_5 = all_4_2
% 169.81/25.79    (144)  op(e2, all_52_13) = all_58_7
% 169.81/25.79    (145)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 169.81/25.79           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 169.81/25.79           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 169.81/25.79           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 169.81/25.79           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 169.81/25.79           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 169.81/25.79           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 169.81/25.79           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 169.81/25.79           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 169.81/25.79           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 169.81/25.79             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 169.81/25.79             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 169.81/25.79             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 169.81/25.79             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 169.81/25.79             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 169.81/25.79             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 169.81/25.79             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 169.81/25.79             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 169.81/25.79             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 169.81/25.79             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 169.81/25.79             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 169.81/25.79             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 169.81/25.79             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 169.81/25.79             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 169.81/25.79             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 169.81/25.79             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 169.81/25.79           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 169.81/25.79           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 169.81/25.79           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 169.81/25.79             all_58_30 = e0 & e1 = e0)
% 169.81/25.79    (146)  all_54_7 = all_52_13
% 169.81/25.79    (147)   ~ (all_52_2 = all_10_2)
% 169.81/25.79    (148)  all_54_11 = all_52_14
% 169.81/25.79    (149)  op(all_14_1, all_14_2) = e1
% 169.81/25.79    (150)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 169.81/25.79    (151)   ~ (all_52_12 = all_52_13)
% 169.81/25.79  
% 169.81/25.79  Begin of proof
% 169.81/25.79  | 
% 169.81/25.79  | COMBINE_EQS: (51), (93) imply:
% 169.81/25.79  |   (152)  all_56_0 = e0
% 169.81/25.79  | 
% 169.81/25.79  | COMBINE_EQS: (80), (93) imply:
% 169.81/25.79  |   (153)  all_58_16 = e0
% 169.81/25.79  | 
% 169.81/25.79  | REDUCE: (46), (93) imply:
% 169.81/25.79  |   (154)   ~ (all_52_1 = e0)
% 169.81/25.79  | 
% 169.81/25.79  | REDUCE: (12), (93) imply:
% 169.81/25.79  |   (155)   ~ (all_52_2 = e0)
% 169.81/25.79  | 
% 169.81/25.79  | REDUCE: (44), (93) imply:
% 169.81/25.79  |   (156)   ~ (all_52_3 = e0)
% 169.81/25.79  | 
% 169.81/25.79  | REDUCE: (86), (93) imply:
% 169.81/25.79  |   (157)   ~ (all_52_4 = e0)
% 169.81/25.79  | 
% 169.81/25.79  | REDUCE: (93), (109) imply:
% 169.81/25.79  |   (158)   ~ (all_52_8 = e0)
% 169.81/25.79  | 
% 169.81/25.79  | REDUCE: (19), (93) imply:
% 169.81/25.79  |   (159)   ~ (all_52_12 = e0)
% 169.81/25.79  | 
% 169.81/25.79  | REDUCE: (18), (93) imply:
% 169.81/25.79  |   (160)  op(e0, e3) = all_6_1
% 169.81/25.79  | 
% 169.81/25.79  | REDUCE: (23), (93) imply:
% 169.81/25.79  |   (161)  op(e3, e0) = all_58_0
% 169.81/25.79  | 
% 169.81/25.79  | GROUND_INST: instantiating (126) with all_52_3, all_6_1, e3, e0, simplifying
% 169.81/25.79  |              with (82), (160) gives:
% 169.81/25.79  |   (162)  all_52_3 = all_6_1
% 169.81/25.79  | 
% 169.81/25.79  | GROUND_INST: instantiating (126) with all_52_12, all_58_0, e0, e3, simplifying
% 169.81/25.79  |              with (89), (161) gives:
% 169.81/25.79  |   (163)  all_58_0 = all_52_12
% 169.81/25.79  | 
% 169.81/25.79  | COMBINE_EQS: (5), (162) imply:
% 169.81/25.79  |   (164)  all_56_12 = all_6_1
% 169.81/25.79  | 
% 169.81/25.79  | COMBINE_EQS: (59), (162) imply:
% 169.81/25.79  |   (165)  all_58_19 = all_6_1
% 169.81/25.79  | 
% 169.81/25.79  | REDUCE: (134), (162) imply:
% 169.81/25.79  |   (166)   ~ (all_52_1 = all_6_1)
% 169.81/25.79  | 
% 169.81/25.79  | REDUCE: (121), (162) imply:
% 169.81/25.79  |   (167)   ~ (all_52_2 = all_6_1)
% 169.81/25.79  | 
% 169.81/25.79  | REDUCE: (30), (162) imply:
% 169.81/25.79  |   (168)   ~ (all_52_7 = all_6_1)
% 169.81/25.79  | 
% 169.81/25.79  | SIMP: (168) implies:
% 169.81/25.79  |   (169)   ~ (all_52_7 = all_6_1)
% 169.81/25.79  | 
% 169.81/25.79  | REDUCE: (17), (162) imply:
% 169.81/25.79  |   (170)   ~ (all_52_11 = all_6_1)
% 169.81/25.79  | 
% 169.81/25.79  | SIMP: (170) implies:
% 169.81/25.79  |   (171)   ~ (all_52_11 = all_6_1)
% 169.81/25.79  | 
% 169.81/25.79  | REDUCE: (156), (162) imply:
% 169.81/25.79  |   (172)   ~ (all_6_1 = e0)
% 169.81/25.79  | 
% 169.81/25.79  | BETA: splitting (6) gives:
% 169.81/25.79  | 
% 169.81/25.79  | Case 1:
% 169.81/25.79  | | 
% 169.81/25.79  | |   (173)  all_56_15 = e0
% 169.81/25.79  | | 
% 169.81/25.79  | | REF_CLOSE: (2), (25), (117), (126), (128), (138), (149), (173) are
% 169.81/25.79  | |            inconsistent by sub-proof #400.
% 169.81/25.79  | | 
% 169.81/25.79  | Case 2:
% 169.81/25.79  | | 
% 169.81/25.79  | |   (174)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) & (all_56_12 = e0
% 169.81/25.79  | |            | all_56_13 = e0 | all_56_14 = e0)
% 169.81/25.79  | | 
% 169.81/25.79  | | ALPHA: (174) implies:
% 169.81/25.79  | |   (175)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 169.81/25.79  | |   (176)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 169.81/25.79  | | 
% 169.81/25.79  | | BETA: splitting (105) gives:
% 169.81/25.79  | | 
% 169.81/25.79  | | Case 1:
% 169.81/25.79  | | | 
% 169.81/25.79  | | |   (177)  all_56_6 = e0
% 169.81/25.79  | | | 
% 169.81/25.79  | | | COMBINE_EQS: (111), (177) imply:
% 169.81/25.79  | | |   (178)  all_52_2 = e0
% 169.81/25.79  | | | 
% 169.81/25.79  | | | REDUCE: (155), (178) imply:
% 169.81/25.79  | | |   (179)  $false
% 169.81/25.79  | | | 
% 169.81/25.79  | | | CLOSE: (179) is inconsistent.
% 169.81/25.79  | | | 
% 169.81/25.79  | | Case 2:
% 169.81/25.79  | | | 
% 169.81/25.79  | | |   (180)   ~ (all_56_6 = e0)
% 169.81/25.79  | | |   (181)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 169.81/25.79  | | | 
% 169.81/25.79  | | | BETA: splitting (84) gives:
% 169.81/25.79  | | | 
% 169.81/25.79  | | | Case 1:
% 169.81/25.79  | | | | 
% 169.81/25.79  | | | |   (182)  all_56_4 = e0
% 169.81/25.79  | | | | 
% 169.81/25.79  | | | | COMBINE_EQS: (97), (182) imply:
% 169.81/25.79  | | | |   (183)  all_52_8 = e0
% 169.81/25.79  | | | | 
% 169.81/25.79  | | | | REDUCE: (158), (183) imply:
% 169.81/25.79  | | | |   (184)  $false
% 169.81/25.79  | | | | 
% 169.81/25.79  | | | | CLOSE: (184) is inconsistent.
% 169.81/25.79  | | | | 
% 169.81/25.79  | | | Case 2:
% 169.81/25.79  | | | | 
% 169.81/25.79  | | | |   (185)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 169.81/25.79  | | | | 
% 169.81/25.79  | | | | BETA: splitting (33) gives:
% 169.81/25.79  | | | | 
% 169.81/25.79  | | | | Case 1:
% 169.81/25.79  | | | | | 
% 169.81/25.79  | | | | |   (186)  all_54_6 = e0
% 169.81/25.79  | | | | | 
% 169.81/25.79  | | | | | COMBINE_EQS: (31), (186) imply:
% 169.81/25.79  | | | | |   (187)  all_52_9 = e0
% 169.81/25.79  | | | | | 
% 169.81/25.79  | | | | | SIMP: (187) implies:
% 169.81/25.79  | | | | |   (188)  all_52_9 = e0
% 169.81/25.79  | | | | | 
% 169.81/25.79  | | | | | REDUCE: (52), (188) imply:
% 169.81/25.79  | | | | |   (189)   ~ (all_10_2 = e0)
% 169.81/25.79  | | | | | 
% 169.81/25.79  | | | | | REDUCE: (29), (188) imply:
% 169.81/25.79  | | | | |   (190)   ~ (all_4_2 = e0)
% 169.81/25.79  | | | | | 
% 169.81/25.79  | | | | | SIMP: (190) implies:
% 169.81/25.79  | | | | |   (191)   ~ (all_4_2 = e0)
% 169.81/25.79  | | | | | 
% 169.81/25.79  | | | | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (9), (10), (11), (13), (14),
% 169.81/25.79  | | | | |            (15), (16), (20), (21), (22), (24), (25), (27), (28), (29),
% 169.81/25.79  | | | | |            (31), (32), (33), (34), (36), (37), (38), (39), (40), (41),
% 169.81/25.79  | | | | |            (42), (43), (45), (47), (48), (49), (50), (52), (53), (54),
% 169.81/25.79  | | | | |            (55), (56), (57), (58), (60), (61), (62), (63), (64), (65),
% 169.81/25.79  | | | | |            (66), (67), (68), (69), (70), (71), (72), (73), (74), (75),
% 169.81/25.79  | | | | |            (76), (77), (78), (79), (81), (83), (84), (85), (87), (88),
% 169.81/25.79  | | | | |            (90), (91), (92), (94), (95), (96), (97), (98), (99),
% 169.81/25.79  | | | | |            (100), (101), (102), (103), (104), (105), (106), (107),
% 169.81/25.79  | | | | |            (108), (110), (111), (112), (113), (114), (115), (116),
% 169.81/25.79  | | | | |            (117), (118), (119), (120), (122), (123), (124), (125),
% 169.81/25.79  | | | | |            (126), (127), (128), (129), (130), (131), (132), (133),
% 169.81/25.79  | | | | |            (135), (136), (137), (138), (139), (140), (141), (142),
% 169.81/25.79  | | | | |            (143), (144), (145), (146), (147), (148), (149), (150),
% 169.81/25.79  | | | | |            (151), (152), (153), (154), (155), (157), (158), (159),
% 169.81/25.79  | | | | |            (163), (164), (165), (166), (167), (169), (171), (172),
% 169.81/25.79  | | | | |            (191) are inconsistent by sub-proof #390.
% 169.81/25.79  | | | | | 
% 169.81/25.79  | | | | Case 2:
% 169.81/25.79  | | | | | 
% 169.81/25.79  | | | | |   (192)   ~ (all_54_6 = e0)
% 169.81/25.79  | | | | | 
% 169.81/25.79  | | | | | REDUCE: (31), (192) imply:
% 169.81/25.79  | | | | |   (193)   ~ (all_52_9 = e0)
% 169.81/25.79  | | | | | 
% 169.81/25.79  | | | | | BETA: splitting (185) gives:
% 169.81/25.79  | | | | | 
% 169.81/25.79  | | | | | Case 1:
% 169.81/25.79  | | | | | | 
% 169.81/25.79  | | | | | |   (194)  all_56_5 = e0
% 169.81/25.79  | | | | | | 
% 169.81/25.79  | | | | | | COMBINE_EQS: (16), (194) imply:
% 169.81/25.79  | | | | | |   (195)  all_52_9 = e0
% 169.81/25.79  | | | | | | 
% 169.81/25.79  | | | | | | REDUCE: (193), (195) imply:
% 169.81/25.79  | | | | | |   (196)  $false
% 169.81/25.79  | | | | | | 
% 169.81/25.79  | | | | | | CLOSE: (196) is inconsistent.
% 169.81/25.79  | | | | | | 
% 169.81/25.79  | | | | | Case 2:
% 169.81/25.79  | | | | | | 
% 169.81/25.79  | | | | | |   (197)  all_56_8 = e0 | all_56_14 = e0
% 169.81/25.79  | | | | | | 
% 169.81/25.79  | | | | | | BETA: splitting (197) gives:
% 169.81/25.79  | | | | | | 
% 169.81/25.79  | | | | | | Case 1:
% 169.81/25.79  | | | | | | | 
% 169.81/25.79  | | | | | | |   (198)  all_56_8 = e0
% 169.81/25.79  | | | | | | | 
% 169.81/25.79  | | | | | | | COMBINE_EQS: (37), (198) imply:
% 169.81/25.79  | | | | | | |   (199)  all_10_2 = e0
% 169.81/25.79  | | | | | | | 
% 169.81/25.79  | | | | | | | REDUCE: (8), (199) imply:
% 169.81/25.79  | | | | | | |   (200)  $false
% 169.81/25.79  | | | | | | | 
% 169.81/25.79  | | | | | | | CLOSE: (200) is inconsistent.
% 169.81/25.79  | | | | | | | 
% 169.81/25.79  | | | | | | Case 2:
% 169.81/25.79  | | | | | | | 
% 169.81/25.79  | | | | | | |   (201)  all_56_14 = e0
% 169.81/25.79  | | | | | | | 
% 169.81/25.79  | | | | | | | COMBINE_EQS: (32), (201) imply:
% 169.81/25.79  | | | | | | |   (202)  all_52_11 = e0
% 169.81/25.79  | | | | | | | 
% 169.81/25.79  | | | | | | | SIMP: (202) implies:
% 169.81/25.79  | | | | | | |   (203)  all_52_11 = e0
% 169.81/25.79  | | | | | | | 
% 169.81/25.79  | | | | | | | REDUCE: (42), (203) imply:
% 169.81/25.79  | | | | | | |   (204)   ~ (all_10_2 = e0)
% 169.81/25.79  | | | | | | | 
% 169.81/25.79  | | | | | | | REDUCE: (171), (203) imply:
% 169.81/25.79  | | | | | | |   (205)   ~ (all_6_1 = e0)
% 169.81/25.79  | | | | | | | 
% 169.81/25.79  | | | | | | | REDUCE: (68), (203) imply:
% 169.81/25.79  | | | | | | |   (206)  op(e0, e0) = all_58_14
% 169.81/25.79  | | | | | | | 
% 169.81/25.79  | | | | | | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (10), (11), (13),
% 169.81/25.79  | | | | | | |            (14), (15), (16), (20), (21), (22), (24), (25), (26),
% 169.81/25.79  | | | | | | |            (27), (28), (29), (31), (32), (33), (34), (35), (36),
% 169.81/25.79  | | | | | | |            (37), (38), (39), (40), (41), (42), (43), (45), (47),
% 169.81/25.79  | | | | | | |            (48), (49), (50), (52), (53), (54), (55), (56), (57),
% 169.81/25.79  | | | | | | |            (58), (60), (61), (62), (63), (64), (65), (66), (67),
% 169.81/25.79  | | | | | | |            (68), (69), (70), (71), (72), (73), (74), (75), (76),
% 169.81/25.79  | | | | | | |            (77), (78), (79), (81), (83), (84), (85), (87), (88),
% 169.81/25.79  | | | | | | |            (90), (91), (92), (94), (95), (96), (97), (98), (99),
% 169.81/25.79  | | | | | | |            (100), (101), (102), (103), (104), (106), (107), (108),
% 169.81/25.79  | | | | | | |            (110), (111), (112), (113), (114), (115), (116), (118),
% 169.81/25.79  | | | | | | |            (119), (120), (122), (123), (124), (125), (126), (127),
% 169.81/25.79  | | | | | | |            (129), (130), (131), (132), (133), (135), (136), (137),
% 169.81/25.79  | | | | | | |            (138), (139), (140), (141), (142), (143), (144), (145),
% 169.81/25.79  | | | | | | |            (146), (147), (148), (150), (151), (152), (153), (154),
% 169.81/25.79  | | | | | | |            (157), (158), (159), (163), (164), (165), (166), (167),
% 169.81/25.79  | | | | | | |            (169), (171), (172), (175), (176), (181), (193), (206)
% 169.81/25.79  | | | | | | |            are inconsistent by sub-proof #80.
% 169.81/25.79  | | | | | | | 
% 169.81/25.79  | | | | | | End of split
% 169.81/25.79  | | | | | | 
% 169.81/25.79  | | | | | End of split
% 169.81/25.79  | | | | | 
% 169.81/25.79  | | | | End of split
% 169.81/25.79  | | | | 
% 169.81/25.79  | | | End of split
% 169.81/25.79  | | | 
% 169.81/25.79  | | End of split
% 169.81/25.79  | | 
% 169.81/25.79  | End of split
% 169.81/25.79  | 
% 169.81/25.79  End of proof
% 169.81/25.79  
% 169.81/25.79  Sub-proof #52 shows that the following formulas are inconsistent:
% 169.81/25.79  ----------------------------------------------------------------
% 169.81/25.79    (1)   ~ (all_52_12 = all_14_2)
% 169.81/25.79    (2)  op(all_4_2, e2) = e0
% 169.81/25.79    (3)  all_56_12 = all_52_3
% 169.81/25.79    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 169.81/25.79    (5)   ~ (e3 = e1)
% 169.81/25.79    (6)  all_58_23 = all_52_7
% 169.81/25.79    (7)   ~ (all_52_2 = all_6_2)
% 169.81/25.79    (8)   ~ (all_52_3 = all_14_2)
% 169.81/25.79    (9)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 169.81/25.79    (10)   ~ (all_52_12 = all_6_2)
% 169.81/25.79    (11)  all_56_15 = all_14_2
% 169.81/25.79    (12)   ~ (all_52_3 = all_52_7)
% 169.81/25.80    (13)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 169.81/25.80    (14)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 169.81/25.80    (15)  all_58_26 = all_10_2
% 169.81/25.80    (16)  all_58_31 = all_14_2
% 169.81/25.80    (17)   ~ (all_52_3 = all_6_2)
% 169.81/25.80    (18)   ~ (all_52_1 = all_6_2)
% 169.81/25.80    (19)  all_56_11 = all_52_14
% 169.81/25.80    (20)  all_56_0 = all_6_2
% 169.81/25.80    (21)  all_58_30 = all_52_14
% 169.81/25.80    (22)  all_58_17 = all_52_1
% 169.81/25.80    (23)  op(e2, all_4_2) = all_58_5
% 169.81/25.80    (24)  all_58_19 = all_52_3
% 169.81/25.80    (25)  all_56_9 = all_52_12
% 169.81/25.80    (26)  all_58_22 = e0
% 169.81/25.80    (27)  op(e2, e2) = all_4_2
% 169.81/25.80    (28)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 169.81/25.80    (29)   ~ (all_52_2 = e0)
% 169.81/25.80    (30)   ~ (all_52_7 = all_14_2)
% 169.81/25.80    (31)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.81/25.80    (32)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 169.81/25.80    (33)  all_58_18 = all_52_2
% 169.81/25.80    (34)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 169.81/25.80    (35)  all_58_16 = all_6_2
% 169.81/25.80    (36)   ~ (all_52_4 = all_6_2)
% 169.81/25.80    (37)  all_56_2 = all_52_1
% 169.81/25.80    (38)   ~ (e3 = e0)
% 169.81/25.80    (39)  all_58_29 = all_52_13
% 169.81/25.80    (40)   ~ (all_52_13 = e0)
% 169.81/25.80    (41)   ~ (all_4_2 = e0)
% 169.81/25.80    (42)   ~ (all_6_2 = e0)
% 169.81/25.80    (43)   ~ (all_52_7 = all_4_2)
% 169.81/25.80    (44)  all_58_20 = all_52_4
% 169.81/25.80    (45)  all_54_13 = all_52_7
% 169.81/25.80    (46)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 169.81/25.80    (47)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 169.81/25.80    (48)  all_56_6 = all_52_2
% 169.81/25.80    (49)   ~ (all_52_7 = e0)
% 169.81/25.80    (50)  all_58_27 = e0
% 169.81/25.80    (51)  all_54_0 = all_6_2
% 169.81/25.80    (52)   ~ (all_52_2 = all_52_3)
% 169.81/25.80    (53)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.81/25.80            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.81/25.80    (54)   ~ (all_52_2 = all_52_14)
% 169.81/25.80    (55)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 169.81/25.80    (56)  all_58_21 = all_4_2
% 169.81/25.80    (57)  all_56_10 = all_52_13
% 169.81/25.80    (58)   ~ (all_52_3 = e0)
% 169.81/25.80    (59)   ~ (e2 = e0)
% 169.81/25.80    (60)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 169.81/25.80    (61)   ~ (all_52_14 = e0)
% 169.81/25.80    (62)  all_58_28 = all_52_12
% 169.81/25.80    (63)   ~ (e1 = e0)
% 169.81/25.80    (64)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 169.81/25.80          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 169.81/25.80          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 169.81/25.80          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 169.81/25.80          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 169.81/25.80          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 169.81/25.80          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 169.81/25.80          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 169.81/25.80          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 169.81/25.80          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 169.81/25.80            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 169.81/25.80            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 169.81/25.80            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 169.81/25.80            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 169.81/25.80            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 169.81/25.80            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 169.81/25.80            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 169.81/25.80            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 169.81/25.80            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 169.81/25.80            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 169.81/25.80            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 169.81/25.80            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 169.81/25.80            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 169.81/25.80            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 169.81/25.80            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 169.81/25.80            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 169.81/25.80          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 169.81/25.80          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 169.81/25.80          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 169.81/25.80            all_58_30 = e0 & e1 = e0)
% 169.81/25.80    (65)   ~ (all_52_2 = all_10_2)
% 169.81/25.80    (66)  all_56_0 = e3 | all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3
% 169.81/25.80    (67)   ~ (all_52_12 = all_52_13)
% 169.81/25.80  
% 169.81/25.80  Begin of proof
% 169.81/25.80  | 
% 169.81/25.80  | BETA: splitting (46) gives:
% 169.81/25.80  | 
% 169.81/25.80  | Case 1:
% 169.81/25.80  | | 
% 169.81/25.80  | |   (68)  all_56_0 = e0
% 169.81/25.80  | | 
% 169.81/25.80  | | COMBINE_EQS: (20), (68) imply:
% 169.81/25.80  | |   (69)  all_6_2 = e0
% 169.81/25.80  | | 
% 169.81/25.80  | | REDUCE: (42), (69) imply:
% 169.81/25.80  | |   (70)  $false
% 169.81/25.80  | | 
% 169.81/25.80  | | CLOSE: (70) is inconsistent.
% 169.81/25.80  | | 
% 169.81/25.80  | Case 2:
% 169.81/25.80  | | 
% 169.81/25.80  | |   (71)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 169.81/25.80  | | 
% 169.81/25.80  | | BETA: splitting (71) gives:
% 169.81/25.80  | | 
% 169.81/25.80  | | Case 1:
% 169.81/25.80  | | | 
% 169.81/25.80  | | |   (72)  all_56_2 = e0
% 169.81/25.80  | | | 
% 169.81/25.80  | | | COMBINE_EQS: (37), (72) imply:
% 169.81/25.80  | | |   (73)  all_52_1 = e0
% 169.81/25.80  | | | 
% 169.81/25.80  | | | COMBINE_EQS: (22), (73) imply:
% 169.81/25.80  | | |   (74)  all_58_17 = e0
% 169.81/25.80  | | | 
% 169.81/25.80  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 169.81/25.80  | | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 169.81/25.80  | | |            (23), (24), (25), (26), (27), (28), (29), (30), (31), (32),
% 169.81/25.80  | | |            (33), (34), (35), (36), (38), (39), (40), (41), (43), (44),
% 169.81/25.80  | | |            (45), (47), (48), (49), (50), (51), (52), (53), (54), (55),
% 169.81/25.80  | | |            (56), (57), (58), (59), (60), (61), (62), (63), (64), (65),
% 169.81/25.80  | | |            (66), (67), (72), (74) are inconsistent by sub-proof #102.
% 169.81/25.80  | | | 
% 169.81/25.80  | | Case 2:
% 169.81/25.80  | | | 
% 169.81/25.80  | | |   (75)  all_56_6 = e0 | all_56_12 = e0
% 169.81/25.80  | | | 
% 169.81/25.80  | | | REF_CLOSE: (3), (29), (48), (58), (75) are inconsistent by sub-proof #918.
% 169.81/25.80  | | | 
% 169.81/25.80  | | End of split
% 169.81/25.80  | | 
% 169.81/25.80  | End of split
% 169.81/25.80  | 
% 169.81/25.80  End of proof
% 169.81/25.80  
% 169.81/25.80  Sub-proof #53 shows that the following formulas are inconsistent:
% 169.81/25.80  ----------------------------------------------------------------
% 169.81/25.80    (1)  all_56_1 = all_52_4
% 169.81/25.80    (2)  op(all_4_2, e2) = e0
% 169.81/25.80    (3)  all_56_12 = all_52_3
% 169.81/25.80    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 169.81/25.80    (5)   ~ (all_10_2 = e0)
% 169.81/25.80    (6)   ~ (all_52_8 = all_52_12)
% 169.81/25.80    (7)   ~ (e3 = e1)
% 169.81/25.80    (8)  op(e2, e0) = e0
% 169.81/25.80    (9)  all_58_23 = all_52_7
% 169.81/25.80    (10)   ~ (all_52_4 = all_4_2)
% 169.81/25.80    (11)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 169.81/25.80    (12)  all_56_5 = all_52_9
% 169.81/25.80    (13)   ~ (all_52_3 = all_52_11)
% 169.81/25.80    (14)   ~ (all_52_12 = all_6_2)
% 169.81/25.80    (15)   ~ (all_52_6 = all_4_2)
% 169.81/25.80    (16)  all_56_10 = e0
% 169.81/25.80    (17)  all_56_15 = all_14_2
% 169.81/25.80    (18)   ~ (all_52_11 = all_14_2)
% 169.81/25.80    (19)  op(e3, all_52_4) = all_58_1
% 169.81/25.80    (20)  all_54_1 = all_52_4
% 169.81/25.80    (21)  op(all_10_2, e1) = all_10_1
% 169.81/25.80    (22)   ~ (all_14_2 = e0)
% 169.81/25.80    (23)  op(e1, all_10_2) = all_58_10
% 169.81/25.80    (24)   ~ (all_52_9 = all_4_2)
% 169.81/25.80    (25)   ~ (all_52_3 = all_52_7)
% 169.81/25.80    (26)  op(e1, e1) = all_10_2
% 169.81/25.80    (27)  all_54_6 = all_52_9
% 169.81/25.80    (28)  all_56_14 = all_52_11
% 169.81/25.80    (29)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 169.81/25.80    (30)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 169.81/25.80    (31)  op(e0, all_52_3) = all_58_12
% 169.81/25.80    (32)  all_56_8 = all_10_2
% 169.81/25.80    (33)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 169.81/25.80    (34)   ~ (all_52_9 = e0)
% 169.81/25.80    (35)  all_58_26 = all_10_2
% 169.81/25.80    (36)   ~ (all_52_4 = all_52_6)
% 169.81/25.80    (37)  all_58_31 = all_14_2
% 169.81/25.80    (38)   ~ (all_52_3 = all_6_2)
% 169.81/25.80    (39)  all_58_18 = e0
% 169.81/25.80    (40)   ~ (all_52_1 = all_6_2)
% 169.81/25.80    (41)  all_56_11 = all_52_14
% 169.81/25.80    (42)   ~ (all_52_6 = all_52_7)
% 169.81/25.80    (43)  all_56_0 = all_6_2
% 169.81/25.80    (44)   ~ (all_52_9 = all_10_2)
% 169.81/25.80    (45)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 169.81/25.80    (46)  all_58_30 = all_52_14
% 169.81/25.80    (47)  all_58_27 = all_52_11
% 169.81/25.80    (48)  op(e3, e2) = all_52_4
% 169.81/25.80    (49)  op(e2, e0) = all_58_7
% 169.81/25.80    (50)  all_58_17 = all_52_1
% 169.81/25.80    (51)  op(e3, e1) = all_52_8
% 169.81/25.80    (52)  op(e2, all_4_2) = all_58_5
% 169.81/25.80    (53)  all_58_19 = all_52_3
% 169.81/25.80    (54)  all_56_9 = all_52_12
% 169.81/25.80    (55)  op(e2, e2) = all_4_2
% 169.81/25.80    (56)   ~ (e3 = e2)
% 169.81/25.80    (57)   ~ (all_52_4 = all_52_7)
% 169.81/25.80    (58)   ~ (all_52_6 = all_10_2)
% 169.81/25.80    (59)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 169.81/25.80    (60)   ~ (all_52_1 = all_4_2)
% 169.81/25.80    (61)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 169.81/25.80    (62)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 169.81/25.80    (63)  all_54_9 = all_52_6
% 169.81/25.80    (64)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 169.81/25.80    (65)   ~ (all_52_13 = all_52_14)
% 169.81/25.80    (66)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 169.81/25.80    (67)  all_58_16 = all_6_2
% 169.81/25.80    (68)  all_56_13 = all_52_7
% 169.81/25.80    (69)  op(e0, e3) = all_52_3
% 169.81/25.80    (70)   ~ (all_52_12 = e0)
% 169.81/25.80    (71)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 169.81/25.80    (72)   ~ (all_52_8 = all_52_9)
% 169.81/25.80    (73)   ~ (all_52_4 = all_6_2)
% 169.81/25.80    (74)  all_56_2 = all_52_1
% 169.81/25.80    (75)   ~ (e3 = e0)
% 169.81/25.80    (76)  all_58_29 = all_52_13
% 169.81/25.80    (77)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 169.81/25.80    (78)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 169.81/25.80    (79)   ~ (all_6_2 = e0)
% 169.81/25.80    (80)   ~ (all_52_6 = all_52_14)
% 169.81/25.80    (81)   ~ (all_52_7 = all_4_2)
% 169.81/25.80    (82)   ~ (all_52_8 = all_10_2)
% 169.81/25.80    (83)  all_56_4 = all_52_8
% 169.81/25.80    (84)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 169.81/25.80    (85)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 169.81/25.80    (86)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 169.81/25.80    (87)  all_58_20 = all_52_4
% 169.81/25.80    (88)  all_54_10 = all_10_2
% 169.81/25.80    (89)   ~ (all_52_7 = all_52_11)
% 169.81/25.80    (90)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 169.81/25.80    (91)   ~ (all_52_8 = all_52_11)
% 169.81/25.80    (92)   ~ (all_52_8 = all_6_2)
% 169.81/25.80    (93)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 169.81/25.80    (94)   ~ (all_52_1 = all_52_9)
% 169.81/25.80    (95)  all_56_6 = e0
% 169.81/25.80    (96)  all_58_24 = all_52_8
% 169.81/25.80    (97)   ~ (all_52_12 = all_52_14)
% 169.81/25.80    (98)   ~ (all_52_9 = all_52_11)
% 169.81/25.80    (99)  all_58_22 = all_52_6
% 169.81/25.80    (100)   ~ (all_52_4 = all_52_12)
% 169.81/25.80    (101)  all_56_3 = all_4_2
% 169.81/25.80    (102)  all_54_0 = all_6_2
% 169.81/25.80    (103)  all_58_29 = e0
% 169.81/25.80    (104)   ~ (all_52_14 = all_10_2)
% 169.81/25.80    (105)   ~ (all_52_1 = e0)
% 169.81/25.80    (106)   ~ (all_52_4 = all_52_8)
% 169.81/25.80    (107)   ~ (all_52_14 = all_14_2)
% 169.81/25.80    (108)  all_58_25 = all_52_9
% 169.81/25.80    (109)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 169.81/25.80    (110)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 169.81/25.80             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 169.81/25.80    (111)   ~ (all_52_6 = e0)
% 169.81/25.80    (112)  all_54_12 = all_52_3
% 169.81/25.80    (113)  all_58_21 = all_4_2
% 169.81/25.80    (114)  all_56_10 = all_52_13
% 169.81/25.80    (115)   ~ (all_52_3 = e0)
% 169.81/25.80    (116)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 169.81/25.80    (117)   ~ (e2 = e0)
% 169.81/25.80    (118)   ~ (all_52_1 = all_52_3)
% 169.81/25.80    (119)   ~ (all_52_14 = e0)
% 169.81/25.80    (120)  all_58_28 = all_52_12
% 169.81/25.80    (121)   ~ (e1 = e0)
% 169.81/25.80    (122)  all_56_7 = all_52_6
% 169.81/25.80    (123)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 169.81/25.80             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 169.81/25.80             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 169.81/25.80             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 169.81/25.80             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 169.81/25.80             (all_58_15 = e0))
% 169.81/25.80    (124)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 169.81/25.80    (125)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 169.81/25.80    (126)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 169.81/25.80           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 169.81/25.80           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 169.81/25.80           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 169.81/25.80           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 169.81/25.80           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 169.81/25.80           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 169.81/25.80           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 169.81/25.80           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 169.81/25.80           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 169.81/25.80             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 169.81/25.80             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 169.81/25.80             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 169.81/25.80             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 169.81/25.80             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 169.81/25.80             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 169.81/25.80             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 169.81/25.80             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 169.81/25.80             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 169.81/25.80             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 169.81/25.80             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 169.81/25.80             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 169.81/25.80             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 169.81/25.80             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 169.81/25.80             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 169.81/25.80             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 169.81/25.80           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 169.81/25.80           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 169.81/25.80           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 169.81/25.80             all_58_30 = e0 & e1 = e0)
% 169.81/25.80    (127)   ~ (all_10_1 = e0)
% 169.81/25.80  
% 169.81/25.80  Begin of proof
% 169.81/25.80  | 
% 169.81/25.80  | BETA: splitting (71) gives:
% 169.81/25.80  | 
% 169.81/25.80  | Case 1:
% 169.81/25.80  | | 
% 169.81/25.80  | |   (128)  all_56_4 = e0
% 169.81/25.80  | | 
% 169.81/25.80  | | COMBINE_EQS: (83), (128) imply:
% 169.81/25.80  | |   (129)  all_52_8 = e0
% 169.81/25.80  | | 
% 169.81/25.80  | | COMBINE_EQS: (96), (129) imply:
% 169.81/25.80  | |   (130)  all_58_24 = e0
% 169.81/25.80  | | 
% 169.81/25.80  | | REDUCE: (106), (129) imply:
% 169.81/25.80  | |   (131)   ~ (all_52_4 = e0)
% 169.81/25.80  | | 
% 169.81/25.80  | | REDUCE: (72), (129) imply:
% 169.81/25.80  | |   (132)   ~ (all_52_9 = e0)
% 169.81/25.80  | | 
% 169.81/25.80  | | REDUCE: (91), (129) imply:
% 169.81/25.80  | |   (133)   ~ (all_52_11 = e0)
% 169.81/25.80  | | 
% 169.81/25.80  | | SIMP: (133) implies:
% 169.81/25.80  | |   (134)   ~ (all_52_11 = e0)
% 169.81/25.80  | | 
% 169.81/25.80  | | REDUCE: (6), (129) imply:
% 169.81/25.80  | |   (135)   ~ (all_52_12 = e0)
% 169.81/25.80  | | 
% 169.81/25.80  | | REDUCE: (82), (129) imply:
% 169.81/25.80  | |   (136)   ~ (all_10_2 = e0)
% 169.81/25.80  | | 
% 169.81/25.80  | | REDUCE: (92), (129) imply:
% 169.81/25.80  | |   (137)   ~ (all_6_2 = e0)
% 169.81/25.80  | | 
% 169.81/25.80  | | REDUCE: (51), (129) imply:
% 169.81/25.80  | |   (138)  op(e3, e1) = e0
% 169.81/25.80  | | 
% 169.81/25.80  | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (11), (14), (19), (20), (21), (22),
% 169.81/25.80  | |            (23), (26), (30), (31), (33), (34), (35), (36), (37), (38), (39),
% 169.81/25.80  | |            (40), (43), (44), (45), (46), (47), (48), (49), (50), (53), (56),
% 169.81/25.80  | |            (58), (61), (62), (63), (66), (67), (69), (70), (73), (74), (75),
% 169.81/25.80  | |            (78), (79), (80), (84), (85), (86), (88), (94), (95), (100),
% 169.81/25.80  | |            (102), (103), (104), (105), (108), (109), (110), (111), (112),
% 169.81/25.80  | |            (115), (117), (118), (119), (120), (121), (122), (123), (124),
% 169.81/25.80  | |            (125), (127), (130), (131), (134), (138) are inconsistent by
% 169.81/25.80  | |            sub-proof #155.
% 169.81/25.80  | | 
% 169.81/25.80  | Case 2:
% 169.81/25.80  | | 
% 169.81/25.80  | |   (139)   ~ (all_56_4 = e0)
% 169.81/25.80  | |   (140)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 169.81/25.80  | | 
% 169.81/25.80  | | REDUCE: (83), (139) imply:
% 169.81/25.80  | |   (141)   ~ (all_52_8 = e0)
% 169.81/25.80  | | 
% 169.81/25.80  | | BETA: splitting (93) gives:
% 169.81/25.80  | | 
% 169.81/25.80  | | Case 1:
% 169.81/25.80  | | | 
% 169.81/25.80  | | |   (142)  all_56_0 = e0
% 169.81/25.80  | | | 
% 169.81/25.80  | | | COMBINE_EQS: (43), (142) imply:
% 169.81/25.80  | | |   (143)  all_6_2 = e0
% 169.81/25.80  | | | 
% 169.81/25.80  | | | REDUCE: (79), (143) imply:
% 169.81/25.80  | | |   (144)  $false
% 169.81/25.80  | | | 
% 169.81/25.80  | | | CLOSE: (144) is inconsistent.
% 169.81/25.80  | | | 
% 169.81/25.80  | | Case 2:
% 169.81/25.80  | | | 
% 169.81/25.80  | | |   (145)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 169.81/25.80  | | | 
% 169.81/25.80  | | | BETA: splitting (145) gives:
% 169.81/25.80  | | | 
% 169.81/25.80  | | | Case 1:
% 169.81/25.80  | | | | 
% 169.81/25.80  | | | |   (146)  all_56_1 = e0
% 169.81/25.80  | | | | 
% 169.81/25.80  | | | | COMBINE_EQS: (1), (146) imply:
% 169.81/25.80  | | | |   (147)  all_52_4 = e0
% 169.81/25.80  | | | | 
% 169.81/25.80  | | | | COMBINE_EQS: (87), (147) imply:
% 169.81/25.80  | | | |   (148)  all_58_20 = e0
% 169.81/25.80  | | | | 
% 169.81/25.80  | | | | REDUCE: (36), (147) imply:
% 169.81/25.80  | | | |   (149)   ~ (all_52_6 = e0)
% 169.81/25.80  | | | | 
% 169.81/25.80  | | | | REDUCE: (100), (147) imply:
% 169.81/25.80  | | | |   (150)   ~ (all_52_12 = e0)
% 169.81/25.80  | | | | 
% 169.81/25.80  | | | | REDUCE: (73), (147) imply:
% 169.81/25.80  | | | |   (151)   ~ (all_6_2 = e0)
% 169.81/25.80  | | | | 
% 169.81/25.80  | | | | REDUCE: (10), (147) imply:
% 169.81/25.80  | | | |   (152)   ~ (all_4_2 = e0)
% 169.81/25.80  | | | | 
% 169.81/25.80  | | | | SIMP: (152) implies:
% 169.81/25.80  | | | |   (153)   ~ (all_4_2 = e0)
% 169.81/25.80  | | | | 
% 169.81/25.80  | | | | BETA: splitting (140) gives:
% 169.81/25.80  | | | | 
% 169.81/25.80  | | | | Case 1:
% 169.81/25.80  | | | | | 
% 169.81/25.80  | | | | |   (154)  all_56_5 = e0
% 169.81/25.80  | | | | | 
% 169.81/25.80  | | | | | COMBINE_EQS: (12), (154) imply:
% 169.81/25.80  | | | | |   (155)  all_52_9 = e0
% 169.81/25.80  | | | | | 
% 169.81/25.80  | | | | | REDUCE: (34), (155) imply:
% 169.81/25.80  | | | | |   (156)  $false
% 169.81/25.80  | | | | | 
% 169.81/25.80  | | | | | CLOSE: (156) is inconsistent.
% 169.81/25.80  | | | | | 
% 169.81/25.80  | | | | Case 2:
% 169.81/25.80  | | | | | 
% 169.81/25.80  | | | | |   (157)  all_56_8 = e0 | all_56_14 = e0
% 169.81/25.80  | | | | | 
% 169.81/25.80  | | | | | BETA: splitting (157) gives:
% 169.81/25.80  | | | | | 
% 169.81/25.80  | | | | | Case 1:
% 169.81/25.80  | | | | | | 
% 169.81/25.80  | | | | | |   (158)  all_56_8 = e0
% 169.81/25.80  | | | | | | 
% 169.81/25.80  | | | | | | COMBINE_EQS: (32), (158) imply:
% 169.81/25.80  | | | | | |   (159)  all_10_2 = e0
% 169.81/25.80  | | | | | | 
% 169.81/25.80  | | | | | | REDUCE: (5), (159) imply:
% 169.81/25.80  | | | | | |   (160)  $false
% 169.81/25.80  | | | | | | 
% 169.81/25.80  | | | | | | CLOSE: (160) is inconsistent.
% 169.81/25.80  | | | | | | 
% 169.81/25.80  | | | | | Case 2:
% 169.81/25.80  | | | | | | 
% 169.81/25.80  | | | | | |   (161)  all_56_14 = e0
% 169.81/25.80  | | | | | | 
% 169.81/25.80  | | | | | | COMBINE_EQS: (28), (161) imply:
% 169.81/25.80  | | | | | |   (162)  all_52_11 = e0
% 169.81/25.80  | | | | | | 
% 169.81/25.80  | | | | | | SIMP: (162) implies:
% 169.81/25.80  | | | | | |   (163)  all_52_11 = e0
% 169.81/25.80  | | | | | | 
% 169.81/25.80  | | | | | | COMBINE_EQS: (47), (163) imply:
% 169.81/25.80  | | | | | |   (164)  all_58_27 = e0
% 169.81/25.80  | | | | | | 
% 169.81/25.80  | | | | | | REDUCE: (89), (163) imply:
% 170.03/25.80  | | | | | |   (165)   ~ (all_52_7 = e0)
% 170.03/25.80  | | | | | | 
% 170.03/25.80  | | | | | | REDUCE: (18), (163) imply:
% 170.03/25.80  | | | | | |   (166)   ~ (all_14_2 = e0)
% 170.03/25.80  | | | | | | 
% 170.03/25.80  | | | | | | REF_CLOSE: (1), (2), (3), (4), (7), (9), (10), (11), (12), (14),
% 170.03/25.80  | | | | | |            (15), (16), (17), (22), (24), (25), (27), (29), (30),
% 170.03/25.80  | | | | | |            (33), (34), (35), (37), (38), (39), (40), (41), (42),
% 170.03/25.80  | | | | | |            (43), (46), (50), (52), (53), (54), (55), (56), (57),
% 170.03/25.80  | | | | | |            (58), (59), (60), (61), (64), (65), (66), (67), (68),
% 170.03/25.80  | | | | | |            (70), (74), (75), (76), (77), (79), (80), (81), (83),
% 170.03/25.80  | | | | | |            (87), (90), (94), (95), (97), (99), (101), (102), (103),
% 170.03/25.80  | | | | | |            (105), (107), (108), (110), (111), (113), (114), (115),
% 170.03/25.80  | | | | | |            (116), (117), (119), (120), (121), (122), (124), (126),
% 170.03/25.80  | | | | | |            (141), (145), (146), (148), (153), (164), (165) are
% 170.03/25.80  | | | | | |            inconsistent by sub-proof #94.
% 170.03/25.80  | | | | | | 
% 170.03/25.80  | | | | | End of split
% 170.03/25.80  | | | | | 
% 170.03/25.80  | | | | End of split
% 170.03/25.80  | | | | 
% 170.03/25.80  | | | Case 2:
% 170.03/25.80  | | | | 
% 170.03/25.80  | | | |   (167)  all_56_4 = e0 | all_56_9 = e0
% 170.03/25.80  | | | | 
% 170.03/25.80  | | | | REF_CLOSE: (54), (70), (83), (141), (167) are inconsistent by sub-proof
% 170.03/25.80  | | | |            #563.
% 170.03/25.80  | | | | 
% 170.03/25.80  | | | End of split
% 170.03/25.80  | | | 
% 170.03/25.80  | | End of split
% 170.03/25.80  | | 
% 170.03/25.80  | End of split
% 170.03/25.80  | 
% 170.03/25.80  End of proof
% 170.03/25.80  
% 170.03/25.80  Sub-proof #54 shows that the following formulas are inconsistent:
% 170.03/25.80  ----------------------------------------------------------------
% 170.03/25.80    (1)   ~ (all_52_12 = all_14_2)
% 170.03/25.80    (2)  all_54_8 = all_52_2
% 170.03/25.80    (3)  all_56_12 = all_52_3
% 170.03/25.80    (4)  op(e1, e3) = all_52_2
% 170.03/25.80    (5)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 170.03/25.80    (6)   ~ (e3 = e1)
% 170.03/25.80    (7)   ~ (all_52_2 = all_6_2)
% 170.03/25.80    (8)   ~ (all_52_3 = all_14_2)
% 170.03/25.80    (9)   ~ (all_52_4 = all_4_2)
% 170.03/25.80    (10)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.03/25.80    (11)  all_56_5 = all_52_9
% 170.03/25.80    (12)   ~ (all_52_12 = all_6_2)
% 170.03/25.80    (13)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 170.03/25.80    (14)   ~ (all_52_6 = all_4_2)
% 170.03/25.80    (15)  all_56_15 = all_14_2
% 170.03/25.80    (16)   ~ (all_52_11 = all_14_2)
% 170.03/25.80    (17)  all_54_1 = all_52_4
% 170.03/25.80    (18)  op(all_10_2, e1) = all_10_1
% 170.03/25.80    (19)   ~ (all_14_2 = e0)
% 170.03/25.80    (20)  op(e1, all_10_2) = all_58_10
% 170.03/25.80    (21)   ~ (all_52_9 = all_4_2)
% 170.03/25.80    (22)  op(e1, e1) = all_10_2
% 170.03/25.80    (23)  all_54_6 = all_52_9
% 170.03/25.80    (24)  all_56_14 = all_52_11
% 170.03/25.80    (25)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 170.03/25.80    (26)   ~ (all_52_13 = all_4_2)
% 170.03/25.80    (27)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.03/25.80    (28)  all_56_8 = all_10_2
% 170.03/25.80    (29)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.03/25.80    (30)  all_58_30 = e0
% 170.03/25.80    (31)   ~ (all_52_9 = e0)
% 170.03/25.80    (32)  all_58_26 = all_10_2
% 170.03/25.80    (33)   ~ (all_52_4 = all_52_6)
% 170.03/25.80    (34)  all_58_31 = all_14_2
% 170.03/25.80    (35)   ~ (all_52_11 = all_10_2)
% 170.03/25.80    (36)   ~ (all_52_9 = all_52_13)
% 170.03/25.80    (37)   ~ (all_52_3 = all_6_2)
% 170.03/25.80    (38)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 170.03/25.80    (39)   ~ (all_52_4 = e0)
% 170.03/25.80    (40)  all_56_0 = all_6_2
% 170.03/25.80    (41)   ~ (all_52_9 = all_10_2)
% 170.03/25.80    (42)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 170.03/25.80    (43)  all_58_27 = all_52_11
% 170.03/25.80    (44)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 170.03/25.80    (45)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 170.03/25.80    (46)  all_58_19 = all_52_3
% 170.03/25.80    (47)  all_56_9 = all_52_12
% 170.03/25.80    (48)   ~ (all_52_2 = all_52_6)
% 170.03/25.80    (49)  all_56_2 = e0
% 170.03/25.80    (50)  all_56_4 = e0
% 170.03/25.80    (51)   ~ (e3 = e2)
% 170.03/25.80    (52)   ~ (e2 = e1)
% 170.03/25.80    (53)   ~ (all_14_1 = e2) |  ~ (all_14_2 = e3)
% 170.03/25.80    (54)   ~ (all_52_2 = e0)
% 170.03/25.80    (55)   ~ (all_52_13 = all_14_2)
% 170.03/25.81    (56)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.03/25.81    (57)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 170.03/25.81    (58)  all_54_9 = all_52_6
% 170.03/25.81    (59)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.03/25.81    (60)  all_58_18 = all_52_2
% 170.03/25.81    (61)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.03/25.81    (62)  all_58_16 = all_6_2
% 170.03/25.81    (63)   ~ (all_52_4 = all_6_2)
% 170.03/25.81    (64)   ~ (e3 = e0)
% 170.03/25.81    (65)  op(e3, e0) = all_52_12
% 170.03/25.81    (66)  all_58_29 = all_52_13
% 170.03/25.81    (67)   ~ (all_52_13 = e0)
% 170.03/25.81    (68)   ~ (all_4_2 = e0)
% 170.03/25.81    (69)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 170.03/25.81    (70)   ~ (all_6_2 = e0)
% 170.03/25.81    (71)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 170.03/25.81    (72)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 170.03/25.81    (73)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 170.03/25.81    (74)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 170.03/25.81    (75)  all_54_15 = all_14_2
% 170.03/25.81    (76)  all_58_17 = e0
% 170.03/25.81    (77)  all_56_11 = e0
% 170.03/25.81    (78)  all_56_6 = all_52_2
% 170.03/25.81    (79)   ~ (all_52_9 = all_52_11)
% 170.03/25.81    (80)  op(all_14_2, e0) = all_14_1
% 170.03/25.81    (81)  all_56_3 = all_4_2
% 170.03/25.81    (82)  all_54_0 = all_6_2
% 170.03/25.81    (83)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 170.03/25.81    (84)  all_58_24 = e0
% 170.03/25.81    (85)   ~ (all_52_11 = e0)
% 170.03/25.81    (86)   ~ (all_52_2 = all_52_3)
% 170.03/25.81    (87)  all_58_25 = all_52_9
% 170.03/25.81    (88)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 170.03/25.81    (89)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.03/25.81            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.03/25.81    (90)   ~ (all_52_6 = e0)
% 170.03/25.81    (91)  all_54_12 = all_52_3
% 170.03/25.81    (92)  all_58_21 = all_4_2
% 170.03/25.81    (93)  all_56_10 = all_52_13
% 170.03/25.81    (94)   ~ (all_52_3 = e0)
% 170.03/25.81    (95)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 170.03/25.81    (96)   ~ (e2 = e0)
% 170.03/25.81    (97)  all_58_28 = all_52_12
% 170.03/25.81    (98)  op(e1, all_52_6) = all_58_9
% 170.03/25.81    (99)   ~ (e1 = e0)
% 170.03/25.81    (100)  all_56_7 = all_52_6
% 170.03/25.81    (101)  all_54_5 = all_4_2
% 170.03/25.81    (102)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.03/25.81           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.03/25.81           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.03/25.81           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.03/25.81           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.03/25.81           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.03/25.81           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.03/25.81           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.03/25.81           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.03/25.81           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.03/25.81             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.03/25.81             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.03/25.81             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.03/25.81             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.03/25.81             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.03/25.81             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.03/25.81             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.03/25.81             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.03/25.81             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.03/25.81             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.03/25.81             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.03/25.81             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.03/25.81             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.03/25.81             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.03/25.81             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.03/25.81             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.03/25.81           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.03/25.81           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.03/25.81           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.03/25.81             all_58_30 = e0 & e1 = e0)
% 170.03/25.81    (103)  all_58_23 = e0
% 170.03/25.81    (104)   ~ (all_52_2 = all_10_2)
% 170.03/25.81    (105)   ~ (all_10_1 = e0)
% 170.03/25.81    (106)  op(all_14_1, all_14_2) = e1
% 170.03/25.81  
% 170.03/25.81  Begin of proof
% 170.03/25.81  | 
% 170.03/25.81  | BETA: splitting (13) gives:
% 170.03/25.81  | 
% 170.03/25.81  | Case 1:
% 170.03/25.81  | | 
% 170.03/25.81  | |   (107)  all_54_5 = e0
% 170.03/25.81  | | 
% 170.03/25.81  | | REF_CLOSE: (68), (101), (107) are inconsistent by sub-proof #983.
% 170.03/25.81  | | 
% 170.03/25.81  | Case 2:
% 170.03/25.81  | | 
% 170.03/25.81  | |   (108)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 170.03/25.81  | | 
% 170.03/25.81  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 170.03/25.81  | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 170.03/25.81  | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 170.03/25.81  | |            (36), (37), (38), (39), (40), (41), (42), (43), (44), (45), (46),
% 170.03/25.81  | |            (47), (48), (49), (50), (51), (52), (53), (54), (55), (56), (57),
% 170.03/25.81  | |            (58), (59), (60), (61), (62), (63), (64), (65), (66), (67), (68),
% 170.03/25.81  | |            (69), (70), (71), (72), (73), (74), (75), (76), (77), (78), (79),
% 170.03/25.81  | |            (80), (81), (82), (83), (84), (85), (86), (87), (88), (89), (90),
% 170.03/25.81  | |            (91), (92), (93), (94), (95), (96), (97), (98), (99), (100),
% 170.03/25.81  | |            (101), (102), (103), (104), (105), (106), (108) are inconsistent
% 170.03/25.81  | |            by sub-proof #132.
% 170.03/25.81  | | 
% 170.03/25.81  | End of split
% 170.03/25.81  | 
% 170.03/25.81  End of proof
% 170.03/25.81  
% 170.03/25.81  Sub-proof #55 shows that the following formulas are inconsistent:
% 170.03/25.81  ----------------------------------------------------------------
% 170.03/25.81    (1)   ~ (all_34_0 = e2) |  ~ (all_34_2 = e3)
% 170.03/25.81    (2)  all_54_8 = all_52_2
% 170.03/25.81    (3)  all_56_12 = all_52_3
% 170.03/25.81    (4)  op(e3, all_52_12) = all_58_3
% 170.03/25.81    (5)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 170.03/25.81    (6)  op(e1, all_52_14) = all_58_11
% 170.03/25.81    (7)   ~ (all_52_8 = all_52_12)
% 170.03/25.81    (8)   ~ (e3 = e1)
% 170.03/25.81    (9)  all_58_23 = all_52_7
% 170.03/25.81    (10)   ~ (all_52_2 = all_6_2)
% 170.03/25.81    (11)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.03/25.81    (12)  all_54_3 = all_52_12
% 170.03/25.81    (13)   ~ (all_52_12 = all_6_2)
% 170.03/25.81    (14)  op(e1, e0) = all_52_14
% 170.03/25.81    (15)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 170.03/25.81    (16)   ~ (all_52_13 = all_4_2)
% 170.03/25.81    (17)  op(e0, all_52_3) = all_58_12
% 170.03/25.81    (18)  all_56_8 = all_10_2
% 170.03/25.81    (19)  all_34_2 = all_10_2
% 170.03/25.81    (20)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.03/25.81    (21)  all_58_31 = all_14_2
% 170.03/25.81    (22)   ~ (all_52_3 = all_6_2)
% 170.03/25.81    (23)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 170.03/25.81    (24)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 170.03/25.81    (25)  all_54_2 = all_52_8
% 170.03/25.81    (26)  all_56_11 = all_52_14
% 170.03/25.81    (27)  all_56_0 = all_6_2
% 170.03/25.81    (28)  all_58_30 = all_52_14
% 170.03/25.81    (29)  op(e3, e1) = all_52_8
% 170.03/25.81    (30)  op(e2, all_4_2) = all_58_5
% 170.03/25.81    (31)  all_58_20 = e0
% 170.03/25.81    (32)  all_58_19 = all_52_3
% 170.03/25.81    (33)  all_56_9 = all_52_12
% 170.03/25.81    (34)   ~ (all_52_2 = all_52_6)
% 170.03/25.81    (35)  all_56_2 = e0
% 170.03/25.81    (36)  op(e2, e2) = all_4_2
% 170.03/25.81    (37)  op(e3, all_52_8) = all_58_2
% 170.03/25.81    (38)   ~ (all_52_6 = all_10_2)
% 170.03/25.81    (39)  all_56_1 = e0
% 170.03/25.81    (40)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.03/25.81    (41)  all_58_18 = all_52_2
% 170.03/25.81    (42)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.03/25.81    (43)  all_58_16 = all_6_2
% 170.03/25.81    (44)  op(e0, e3) = all_52_3
% 170.03/25.81    (45)   ~ (e3 = e0)
% 170.03/25.81    (46)  all_58_29 = all_52_13
% 170.03/25.81    (47)   ~ (all_52_13 = e0)
% 170.03/25.81    (48)   ~ (all_4_2 = e0)
% 170.03/25.81    (49)   ~ (all_6_2 = e0)
% 170.03/25.81    (50)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 170.03/25.81    (51)  all_56_4 = all_52_8
% 170.03/25.81    (52)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 170.03/25.81    (53)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 170.03/25.81    (54)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 170.03/25.81    (55)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 170.03/25.81    (56)  all_58_17 = e0
% 170.03/25.81    (57)  op(all_10_2, e1) = e0
% 170.03/25.81    (58)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.03/25.81    (59)   ~ (all_52_8 = all_6_2)
% 170.03/25.81    (60)  all_56_6 = all_52_2
% 170.03/25.81    (61)   ~ (all_52_7 = e0)
% 170.03/25.81    (62)   ~ (all_52_12 = all_52_14)
% 170.03/25.81    (63)  all_58_22 = all_52_6
% 170.03/25.81    (64)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 170.03/25.81    (65)  all_54_0 = all_6_2
% 170.03/25.81    (66)   ~ (all_52_2 = all_52_3)
% 170.03/25.81    (67)   ~ (all_52_14 = all_14_2)
% 170.03/25.81    (68)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.03/25.81            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.03/25.81    (69)  all_54_12 = all_52_3
% 170.03/25.81    (70)   ~ (all_52_2 = all_52_14)
% 170.03/25.81    (71)  all_58_21 = all_4_2
% 170.03/25.81    (72)  all_56_10 = all_52_13
% 170.03/25.81    (73)   ~ (all_52_3 = e0)
% 170.03/25.81    (74)   ~ (e2 = e0)
% 170.03/25.81    (75)  all_58_28 = all_52_12
% 170.03/25.81    (76)   ~ (e1 = e0)
% 170.03/25.81    (77)  all_56_7 = all_52_6
% 170.03/25.81    (78)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 170.03/25.81            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 170.03/25.81            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 170.03/25.81            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 170.03/25.81            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 170.03/25.81            (all_58_15 = e0))
% 170.03/25.81    (79)   ~ (all_52_8 = e0)
% 170.03/25.81    (80)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 170.03/25.81    (81)  all_56_10 = e0 | all_56_11 = e0
% 170.03/25.81    (82)   ~ (all_52_12 = all_52_13)
% 170.03/25.81  
% 170.03/25.81  Begin of proof
% 170.03/25.81  | 
% 170.03/25.81  | BETA: splitting (81) gives:
% 170.03/25.81  | 
% 170.03/25.81  | Case 1:
% 170.03/25.81  | | 
% 170.03/25.81  | |   (83)  all_56_10 = e0
% 170.03/25.81  | | 
% 170.03/25.81  | | COMBINE_EQS: (72), (83) imply:
% 170.03/25.81  | |   (84)  all_52_13 = e0
% 170.03/25.81  | | 
% 170.03/25.81  | | REDUCE: (47), (84) imply:
% 170.03/25.81  | |   (85)  $false
% 170.03/25.81  | | 
% 170.03/25.81  | | CLOSE: (85) is inconsistent.
% 170.03/25.81  | | 
% 170.03/25.81  | Case 2:
% 170.03/25.81  | | 
% 170.03/25.81  | |   (86)  all_56_11 = e0
% 170.03/25.81  | | 
% 170.03/25.81  | | COMBINE_EQS: (26), (86) imply:
% 170.03/25.81  | |   (87)  all_52_14 = e0
% 170.03/25.81  | | 
% 170.03/25.81  | | COMBINE_EQS: (28), (87) imply:
% 170.03/25.81  | |   (88)  all_58_30 = e0
% 170.03/25.81  | | 
% 170.03/25.81  | | REDUCE: (70), (87) imply:
% 170.03/25.81  | |   (89)   ~ (all_52_2 = e0)
% 170.03/25.81  | | 
% 170.03/25.81  | | REDUCE: (62), (87) imply:
% 170.03/25.81  | |   (90)   ~ (all_52_12 = e0)
% 170.03/25.81  | | 
% 170.03/25.81  | | REDUCE: (67), (87) imply:
% 170.03/25.81  | |   (91)   ~ (all_14_2 = e0)
% 170.03/25.81  | | 
% 170.03/25.81  | | SIMP: (91) implies:
% 170.03/25.81  | |   (92)   ~ (all_14_2 = e0)
% 170.03/25.81  | | 
% 170.03/25.81  | | REDUCE: (6), (87) imply:
% 170.03/25.81  | |   (93)  op(e1, e0) = all_58_11
% 170.03/25.81  | | 
% 170.03/25.81  | | REDUCE: (14), (87) imply:
% 170.03/25.81  | |   (94)  op(e1, e0) = e0
% 170.03/25.81  | | 
% 170.03/25.81  | | GROUND_INST: instantiating (68) with e0, all_58_11, e0, e1, simplifying with
% 170.03/25.81  | |              (93), (94) gives:
% 170.03/25.81  | |   (95)  all_58_11 = e0
% 170.03/25.81  | | 
% 170.03/25.81  | | BETA: splitting (55) gives:
% 170.03/25.81  | | 
% 170.03/25.81  | | Case 1:
% 170.03/25.81  | | | 
% 170.03/25.81  | | |   (96)  all_54_2 = e0
% 170.03/25.81  | | | 
% 170.03/25.81  | | | REF_CLOSE: (25), (79), (96) are inconsistent by sub-proof #763.
% 170.03/25.81  | | | 
% 170.03/25.81  | | Case 2:
% 170.03/25.81  | | | 
% 170.03/25.81  | | |   (97)   ~ (all_54_2 = e0)
% 170.03/25.81  | | |   (98)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1
% 170.03/25.81  | | | 
% 170.03/25.81  | | | BETA: splitting (5) gives:
% 170.03/25.81  | | | 
% 170.03/25.81  | | | Case 1:
% 170.03/25.81  | | | | 
% 170.03/25.81  | | | |   (99)  all_54_0 = e0
% 170.03/25.81  | | | | 
% 170.03/25.81  | | | | REF_CLOSE: (49), (65), (99) are inconsistent by sub-proof #984.
% 170.03/25.81  | | | | 
% 170.03/25.81  | | | Case 2:
% 170.03/25.81  | | | | 
% 170.03/25.81  | | | |   (100)   ~ (all_54_0 = e0)
% 170.03/25.81  | | | |   (101)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 170.03/25.81  | | | | 
% 170.03/25.81  | | | | BETA: splitting (15) gives:
% 170.03/25.81  | | | | 
% 170.03/25.81  | | | | Case 1:
% 170.03/25.81  | | | | | 
% 170.03/25.81  | | | | |   (102)  all_54_3 = e0
% 170.03/25.81  | | | | | 
% 170.03/25.81  | | | | | REF_CLOSE: (12), (90), (102) are inconsistent by sub-proof #898.
% 170.03/25.81  | | | | | 
% 170.03/25.81  | | | | Case 2:
% 170.03/25.81  | | | | | 
% 170.03/25.81  | | | | |   (103)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 170.03/25.81  | | | | | 
% 170.03/25.81  | | | | | BETA: splitting (50) gives:
% 170.03/25.81  | | | | | 
% 170.03/25.81  | | | | | Case 1:
% 170.03/25.81  | | | | | | 
% 170.03/25.81  | | | | | |   (104)  all_54_8 = e0
% 170.03/25.81  | | | | | | 
% 170.03/25.81  | | | | | | REF_CLOSE: (2), (89), (104) are inconsistent by sub-proof #839.
% 170.03/25.81  | | | | | | 
% 170.03/25.81  | | | | | Case 2:
% 170.03/25.81  | | | | | | 
% 170.03/25.81  | | | | | |   (105)   ~ (all_54_8 = e0)
% 170.03/25.81  | | | | | |   (106)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 170.03/25.81  | | | | | | 
% 170.03/25.81  | | | | | | BETA: splitting (54) gives:
% 170.03/25.81  | | | | | | 
% 170.03/25.81  | | | | | | Case 1:
% 170.03/25.81  | | | | | | | 
% 170.03/25.81  | | | | | | |   (107)  all_54_12 = e0
% 170.03/25.81  | | | | | | | 
% 170.03/25.81  | | | | | | | REF_CLOSE: (69), (73), (107) are inconsistent by sub-proof #559.
% 170.03/25.81  | | | | | | | 
% 170.03/25.81  | | | | | | Case 2:
% 170.03/25.81  | | | | | | | 
% 170.03/25.81  | | | | | | |   (108)   ~ (all_54_12 = e0)
% 170.03/25.81  | | | | | | |   (109)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 170.03/25.81  | | | | | | | 
% 170.03/25.81  | | | | | | | BETA: splitting (11) gives:
% 170.03/25.81  | | | | | | | 
% 170.03/25.81  | | | | | | | Case 1:
% 170.03/25.81  | | | | | | | | 
% 170.03/25.81  | | | | | | | |   (110)  all_58_19 = e0
% 170.03/25.81  | | | | | | | | 
% 170.03/25.81  | | | | | | | | COMBINE_EQS: (32), (110) imply:
% 170.03/25.81  | | | | | | | |   (111)  all_52_3 = e0
% 170.03/25.81  | | | | | | | | 
% 170.03/25.81  | | | | | | | | REDUCE: (73), (111) imply:
% 170.03/25.81  | | | | | | | |   (112)  $false
% 170.03/25.81  | | | | | | | | 
% 170.03/25.81  | | | | | | | | CLOSE: (112) is inconsistent.
% 170.03/25.81  | | | | | | | | 
% 170.03/25.81  | | | | | | | Case 2:
% 170.03/25.81  | | | | | | | | 
% 170.03/25.81  | | | | | | | |   (113)   ~ (all_58_19 = e0)
% 170.03/25.81  | | | | | | | |   (114)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 170.03/25.81  | | | | | | | | 
% 170.03/25.81  | | | | | | | | BETA: splitting (58) gives:
% 170.03/25.81  | | | | | | | | 
% 170.03/25.81  | | | | | | | | Case 1:
% 170.03/25.81  | | | | | | | | | 
% 170.03/25.81  | | | | | | | | |   (115)  all_58_23 = e0
% 170.03/25.81  | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | COMBINE_EQS: (9), (115) imply:
% 170.03/25.81  | | | | | | | | |   (116)  all_52_7 = e0
% 170.03/25.81  | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | REDUCE: (61), (116) imply:
% 170.03/25.81  | | | | | | | | |   (117)  $false
% 170.03/25.81  | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | CLOSE: (117) is inconsistent.
% 170.03/25.81  | | | | | | | | | 
% 170.03/25.81  | | | | | | | | Case 2:
% 170.03/25.81  | | | | | | | | | 
% 170.03/25.81  | | | | | | | | |   (118)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 170.03/25.81  | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | BETA: splitting (20) gives:
% 170.03/25.81  | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | Case 1:
% 170.03/25.81  | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | |   (119)  all_58_31 = e0
% 170.03/25.81  | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | COMBINE_EQS: (21), (119) imply:
% 170.03/25.81  | | | | | | | | | |   (120)  all_14_2 = e0
% 170.03/25.81  | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | REDUCE: (92), (120) imply:
% 170.03/25.81  | | | | | | | | | |   (121)  $false
% 170.03/25.81  | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | CLOSE: (121) is inconsistent.
% 170.03/25.81  | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | Case 2:
% 170.03/25.81  | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | |   (122)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 170.03/25.81  | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | BETA: splitting (80) gives:
% 170.03/25.81  | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | Case 1:
% 170.03/25.81  | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | |   (123)  all_56_12 = e1
% 170.03/25.81  | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | COMBINE_EQS: (3), (123) imply:
% 170.03/25.81  | | | | | | | | | | |   (124)  all_52_3 = e1
% 170.03/25.81  | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | SIMP: (124) implies:
% 170.03/25.81  | | | | | | | | | | |   (125)  all_52_3 = e1
% 170.03/25.81  | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | REDUCE: (66), (125) imply:
% 170.03/25.81  | | | | | | | | | | |   (126)   ~ (all_52_2 = e1)
% 170.03/25.81  | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | BETA: splitting (114) gives:
% 170.03/25.81  | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | Case 1:
% 170.03/25.81  | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | |   (127)  all_58_18 = e1
% 170.03/25.81  | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | COMBINE_EQS: (41), (127) imply:
% 170.03/25.81  | | | | | | | | | | | |   (128)  all_52_2 = e1
% 170.03/25.81  | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | REDUCE: (126), (128) imply:
% 170.03/25.81  | | | | | | | | | | | |   (129)  $false
% 170.03/25.81  | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | CLOSE: (129) is inconsistent.
% 170.03/25.81  | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | Case 2:
% 170.03/25.81  | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | |   (130)   ~ (all_58_18 = e1)
% 170.03/25.81  | | | | | | | | | | | |   (131)  all_58_16 = e3 | all_58_17 = e2
% 170.03/25.81  | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | BETA: splitting (131) gives:
% 170.03/25.81  | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | Case 1:
% 170.03/25.81  | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | |   (132)  all_58_17 = e2
% 170.03/25.81  | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | REF_CLOSE: (56), (74), (132) are inconsistent by sub-proof
% 170.03/25.81  | | | | | | | | | | | | |            #981.
% 170.03/25.81  | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | Case 2:
% 170.03/25.81  | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | |   (133)  all_58_16 = e3
% 170.03/25.81  | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | COMBINE_EQS: (43), (133) imply:
% 170.03/25.81  | | | | | | | | | | | | |   (134)  all_6_2 = e3
% 170.03/25.81  | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | REDUCE: (10), (134) imply:
% 170.03/25.81  | | | | | | | | | | | | |   (135)   ~ (all_52_2 = e3)
% 170.03/25.81  | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | REDUCE: (59), (134) imply:
% 170.03/25.81  | | | | | | | | | | | | |   (136)   ~ (all_52_8 = e3)
% 170.03/25.81  | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | REDUCE: (13), (134) imply:
% 170.03/25.81  | | | | | | | | | | | | |   (137)   ~ (all_52_12 = e3)
% 170.03/25.81  | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | BETA: splitting (122) gives:
% 170.03/25.81  | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | Case 1:
% 170.03/25.81  | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | |   (138)  all_58_30 = e1
% 170.03/25.81  | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | REF_CLOSE: (76), (88), (138) are inconsistent by sub-proof
% 170.03/25.81  | | | | | | | | | | | | | |            #838.
% 170.03/25.81  | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | Case 2:
% 170.03/25.81  | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | |   (139)  all_58_28 = e3 | all_58_29 = e2
% 170.03/25.81  | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 170.03/25.81  | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | Case 1:
% 170.03/25.81  | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | |   (140)  all_54_8 = e1
% 170.03/25.81  | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | REF_CLOSE: (2), (126), (140) are inconsistent by sub-proof
% 170.03/25.81  | | | | | | | | | | | | | | |            #671.
% 170.03/25.81  | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | Case 2:
% 170.03/25.81  | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | |   (141)   ~ (all_54_8 = e1)
% 170.03/25.81  | | | | | | | | | | | | | | |   (142)  all_54_8 = e3 | all_54_8 = e2
% 170.03/25.81  | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | BETA: splitting (142) gives:
% 170.03/25.81  | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | Case 1:
% 170.03/25.81  | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | |   (143)  all_54_8 = e2
% 170.03/25.81  | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | COMBINE_EQS: (2), (143) imply:
% 170.03/25.81  | | | | | | | | | | | | | | | |   (144)  all_52_2 = e2
% 170.03/25.81  | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | SIMP: (144) implies:
% 170.03/25.81  | | | | | | | | | | | | | | | |   (145)  all_52_2 = e2
% 170.03/25.81  | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | COMBINE_EQS: (60), (145) imply:
% 170.03/25.81  | | | | | | | | | | | | | | | |   (146)  all_56_6 = e2
% 170.03/25.81  | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | BETA: splitting (139) gives:
% 170.03/25.81  | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | Case 1:
% 170.03/25.81  | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | |   (147)  all_58_29 = e2
% 170.03/25.81  | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | BETA: splitting (24) gives:
% 170.03/25.81  | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | Case 1:
% 170.03/25.81  | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | |   (148)  all_56_4 = e2
% 170.03/25.81  | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (51), (148) imply:
% 170.03/25.81  | | | | | | | | | | | | | | | | | |   (149)  all_52_8 = e2
% 170.03/25.81  | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | SIMP: (149) implies:
% 170.03/25.81  | | | | | | | | | | | | | | | | | |   (150)  all_52_8 = e2
% 170.03/25.81  | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | REDUCE: (7), (150) imply:
% 170.03/25.81  | | | | | | | | | | | | | | | | | |   (151)   ~ (all_52_12 = e2)
% 170.03/25.81  | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | SIMP: (151) implies:
% 170.03/25.81  | | | | | | | | | | | | | | | | | |   (152)   ~ (all_52_12 = e2)
% 170.03/25.81  | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | REDUCE: (136), (150) imply:
% 170.03/25.81  | | | | | | | | | | | | | | | | | |   (153)   ~ (e3 = e2)
% 170.03/25.81  | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | SIMP: (153) implies:
% 170.03/25.81  | | | | | | | | | | | | | | | | | |   (154)   ~ (e3 = e2)
% 170.03/25.81  | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | REDUCE: (29), (150) imply:
% 170.03/25.81  | | | | | | | | | | | | | | | | | |   (155)  op(e3, e1) = e2
% 170.03/25.81  | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 170.03/25.81  | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | Case 1:
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | |   (156)  all_54_3 = e1
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (156) imply:
% 170.03/25.81  | | | | | | | | | | | | | | | | | | |   (157)  all_52_12 = e1
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | SIMP: (157) implies:
% 170.03/25.81  | | | | | | | | | | | | | | | | | | |   (158)  all_52_12 = e1
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (75), (158) imply:
% 170.03/25.81  | | | | | | | | | | | | | | | | | | |   (159)  all_58_28 = e1
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | REDUCE: (137), (158) imply:
% 170.03/25.81  | | | | | | | | | | | | | | | | | | |   (160)   ~ (e3 = e1)
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | REDUCE: (4), (158) imply:
% 170.03/25.81  | | | | | | | | | | | | | | | | | | |   (161)  op(e3, e1) = all_58_3
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | BETA: splitting (118) gives:
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | Case 1:
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | |   (162)  all_58_22 = e1
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (63), (162) imply:
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | |   (163)  all_52_6 = e1
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | | SIMP: (163) implies:
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | |   (164)  all_52_6 = e1
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (77), (164) imply:
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | |   (165)  all_56_7 = e1
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (164) imply:
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | |   (166)   ~ (all_10_2 = e1)
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | | SIMP: (166) implies:
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | |   (167)   ~ (all_10_2 = e1)
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (8), (18), (19), (23), (41), (45), (56),
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | |            (57), (68), (74), (86), (114), (126), (133),
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | |            (139), (146), (147), (154), (155), (159), (161),
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | |            (165), (167) are inconsistent by sub-proof #128.
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | Case 2:
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | |   (168)  all_58_20 = e3 | all_58_21 = e2
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (31), (45), (46), (71), (75), (137), (139),
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | |            (168) are inconsistent by sub-proof #214.
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | End of split
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | Case 2:
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | |   (169)  all_54_3 = e3 | all_54_3 = e2
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (137), (152), (169) are inconsistent by
% 170.03/25.81  | | | | | | | | | | | | | | | | | | |            sub-proof #891.
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | End of split
% 170.03/25.81  | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | Case 2:
% 170.03/25.81  | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | |   (170)   ~ (all_56_4 = e2)
% 170.03/25.81  | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | REDUCE: (51), (170) imply:
% 170.03/25.81  | | | | | | | | | | | | | | | | | |   (171)   ~ (all_52_8 = e2)
% 170.03/25.81  | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | BETA: splitting (98) gives:
% 170.03/25.81  | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | Case 1:
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | |   (172)  all_54_2 = e1
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25), (172) imply:
% 170.03/25.81  | | | | | | | | | | | | | | | | | | |   (173)  all_52_8 = e1
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | SIMP: (173) implies:
% 170.03/25.81  | | | | | | | | | | | | | | | | | | |   (174)  all_52_8 = e1
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | REDUCE: (7), (174) imply:
% 170.03/25.81  | | | | | | | | | | | | | | | | | | |   (175)   ~ (all_52_12 = e1)
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | SIMP: (175) implies:
% 170.03/25.81  | | | | | | | | | | | | | | | | | | |   (176)   ~ (all_52_12 = e1)
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (46), (75), (76), (82), (88), (103), (122),
% 170.03/25.81  | | | | | | | | | | | | | | | | | | |            (137), (176) are inconsistent by sub-proof #755.
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | Case 2:
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | |   (177)  all_54_2 = e3 | all_54_2 = e2
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (136), (171), (177) are inconsistent by
% 170.03/25.81  | | | | | | | | | | | | | | | | | | |            sub-proof #691.
% 170.03/25.81  | | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | | End of split
% 170.03/25.81  | | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | End of split
% 170.03/25.81  | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | Case 2:
% 170.03/25.81  | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | |   (178)  all_58_28 = e3
% 170.03/25.81  | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | | REF_CLOSE: (75), (137), (178) are inconsistent by sub-proof
% 170.03/25.81  | | | | | | | | | | | | | | | | |            #870.
% 170.03/25.81  | | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | End of split
% 170.03/25.81  | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | Case 2:
% 170.03/25.81  | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | |   (179)  all_54_8 = e3
% 170.03/25.81  | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | | REF_CLOSE: (2), (135), (179) are inconsistent by sub-proof
% 170.03/25.81  | | | | | | | | | | | | | | | |            #786.
% 170.03/25.81  | | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | | End of split
% 170.03/25.81  | | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | | End of split
% 170.03/25.81  | | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | | End of split
% 170.03/25.81  | | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | | End of split
% 170.03/25.81  | | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | End of split
% 170.03/25.81  | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | Case 2:
% 170.03/25.81  | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | |   (180)   ~ (all_56_12 = e1)
% 170.03/25.81  | | | | | | | | | | | 
% 170.03/25.81  | | | | | | | | | | | REDUCE: (3), (180) imply:
% 170.03/25.81  | | | | | | | | | | |   (181)   ~ (all_52_3 = e1)
% 170.03/25.81  | | | | | | | | | | | 
% 170.03/25.82  | | | | | | | | | | | REF_CLOSE: (3), (8), (10), (13), (16), (17), (22), (27),
% 170.03/25.82  | | | | | | | | | | |            (29), (30), (31), (33), (34), (35), (36), (37),
% 170.03/25.82  | | | | | | | | | | |            (39), (40), (41), (42), (43), (44), (45), (46),
% 170.03/25.82  | | | | | | | | | | |            (48), (49), (51), (52), (53), (56), (60), (63),
% 170.03/25.82  | | | | | | | | | | |            (64), (65), (66), (68), (69), (71), (74), (75),
% 170.03/25.82  | | | | | | | | | | |            (76), (78), (88), (89), (95), (101), (109), (114),
% 170.03/25.82  | | | | | | | | | | |            (118), (122), (181) are inconsistent by sub-proof
% 170.03/25.82  | | | | | | | | | | |            #224.
% 170.03/25.82  | | | | | | | | | | | 
% 170.03/25.82  | | | | | | | | | | End of split
% 170.03/25.82  | | | | | | | | | | 
% 170.03/25.82  | | | | | | | | | End of split
% 170.03/25.82  | | | | | | | | | 
% 170.03/25.82  | | | | | | | | End of split
% 170.03/25.82  | | | | | | | | 
% 170.03/25.82  | | | | | | | End of split
% 170.03/25.82  | | | | | | | 
% 170.03/25.82  | | | | | | End of split
% 170.03/25.82  | | | | | | 
% 170.03/25.82  | | | | | End of split
% 170.03/25.82  | | | | | 
% 170.03/25.82  | | | | End of split
% 170.03/25.82  | | | | 
% 170.03/25.82  | | | End of split
% 170.03/25.82  | | | 
% 170.03/25.82  | | End of split
% 170.03/25.82  | | 
% 170.03/25.82  | End of split
% 170.03/25.82  | 
% 170.03/25.82  End of proof
% 170.03/25.82  
% 170.03/25.82  Sub-proof #56 shows that the following formulas are inconsistent:
% 170.03/25.82  ----------------------------------------------------------------
% 170.03/25.82    (1)   ~ (all_52_12 = all_14_2)
% 170.03/25.82    (2)   ~ (all_34_0 = e2) |  ~ (all_34_2 = e3)
% 170.03/25.82    (3)  op(e0, e0) = all_14_2
% 170.03/25.82    (4)  all_56_1 = all_52_4
% 170.03/25.82    (5)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 170.03/25.82    (6)  all_56_12 = all_52_3
% 170.03/25.82    (7)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 170.03/25.82    (8)  op(e1, all_52_14) = all_58_11
% 170.03/25.82    (9)   ~ (all_10_2 = e0)
% 170.03/25.82    (10)   ~ (all_52_8 = all_52_12)
% 170.03/25.82    (11)   ~ (e3 = e1)
% 170.03/25.82    (12)  all_58_23 = all_52_7
% 170.03/25.82    (13)   ~ (all_52_2 = all_6_2)
% 170.03/25.82    (14)   ~ (all_52_3 = all_14_2)
% 170.03/25.82    (15)   ~ (all_52_4 = all_4_2)
% 170.03/25.82    (16)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.03/25.82    (17)  all_54_3 = all_52_12
% 170.03/25.82    (18)  all_56_5 = all_52_9
% 170.03/25.82    (19)   ~ (all_52_3 = all_52_11)
% 170.03/25.82    (20)  op(all_6_2, e3) = all_6_1
% 170.03/25.82    (21)   ~ (all_52_12 = all_6_2)
% 170.03/25.82    (22)  op(e2, e0) = all_52_13
% 170.03/25.82    (23)  op(e3, all_6_2) = all_58_0
% 170.03/25.82    (24)  op(e1, e0) = all_52_14
% 170.03/25.82    (25)  all_56_15 = all_14_2
% 170.03/25.82    (26)   ~ (all_52_11 = all_14_2)
% 170.03/25.82    (27)  op(e3, e0) = all_58_2
% 170.03/25.82    (28)  all_54_1 = all_52_4
% 170.03/25.82    (29)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 170.03/25.82    (30)  op(e1, all_10_2) = all_58_10
% 170.03/25.82    (31)   ~ (all_52_9 = all_4_2)
% 170.03/25.82    (32)   ~ (all_52_3 = all_52_7)
% 170.03/25.82    (33)  op(e1, e1) = all_10_2
% 170.03/25.82    (34)  all_56_14 = all_52_11
% 170.03/25.82    (35)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.03/25.82    (36)  all_56_8 = all_10_2
% 170.03/25.82    (37)  all_34_2 = all_10_2
% 170.03/25.82    (38)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.03/25.82    (39)   ~ (all_52_9 = e0)
% 170.03/25.82    (40)  all_58_26 = all_10_2
% 170.03/25.82    (41)   ~ (all_52_4 = all_52_6)
% 170.03/25.82    (42)  all_58_31 = all_14_2
% 170.03/25.82    (43)   ~ (all_52_11 = all_10_2)
% 170.03/25.82    (44)   ~ (all_52_9 = all_52_13)
% 170.03/25.82    (45)   ~ (all_52_3 = all_6_2)
% 170.03/25.82    (46)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 170.03/25.82    (47)   ~ (all_52_1 = all_6_2)
% 170.03/25.82    (48)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 170.03/25.82    (49)  all_56_11 = all_52_14
% 170.03/25.82    (50)   ~ (all_52_6 = all_52_7)
% 170.03/25.82    (51)  all_56_0 = all_6_2
% 170.03/25.82    (52)   ~ (all_52_9 = all_10_2)
% 170.03/25.82    (53)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 170.03/25.82    (54)  all_58_30 = all_52_14
% 170.03/25.82    (55)  all_58_27 = all_52_11
% 170.03/25.82    (56)  all_54_14 = all_52_11
% 170.03/25.82    (57)  all_58_17 = all_52_1
% 170.03/25.82    (58)  all_58_19 = all_52_3
% 170.03/25.82    (59)  all_56_9 = all_52_12
% 170.03/25.82    (60)   ~ (all_52_2 = all_52_6)
% 170.03/25.82    (61)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 170.03/25.82    (62)   ~ (e3 = e2)
% 170.03/25.82    (63)   ~ (all_52_4 = all_52_7)
% 170.03/25.82    (64)   ~ (e2 = e1)
% 170.03/25.82    (65)   ~ (all_52_6 = all_10_2)
% 170.03/25.82    (66)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 170.03/25.82    (67)   ~ (all_52_13 = all_14_2)
% 170.03/25.82    (68)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.03/25.82    (69)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 170.03/25.82    (70)  all_54_9 = all_52_6
% 170.03/25.82    (71)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.03/25.82    (72)   ~ (all_52_13 = all_52_14)
% 170.03/25.82    (73)  all_58_18 = all_52_2
% 170.03/25.82    (74)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.03/25.82    (75)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 170.03/25.82    (76)  all_58_16 = all_6_2
% 170.03/25.82    (77)  all_56_13 = all_52_7
% 170.03/25.82    (78)  op(e0, e3) = all_52_3
% 170.03/25.82    (79)  op(e0, all_52_7) = all_58_13
% 170.03/25.82    (80)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 170.03/25.82    (81)   ~ (all_52_8 = all_52_9)
% 170.03/25.82    (82)   ~ (all_52_4 = all_6_2)
% 170.03/25.82    (83)  all_56_2 = all_52_1
% 170.03/25.82    (84)   ~ (e3 = e0)
% 170.03/25.82    (85)  op(e3, e0) = all_52_12
% 170.03/25.82    (86)  all_58_29 = all_52_13
% 170.03/25.82    (87)   ~ (all_52_1 = all_52_2)
% 170.03/25.82    (88)   ~ (all_52_6 = all_52_14)
% 170.03/25.82    (89)   ~ (all_52_7 = all_4_2)
% 170.03/25.82    (90)   ~ (all_52_8 = all_10_2)
% 170.03/25.82    (91)  all_56_4 = all_52_8
% 170.03/25.82    (92)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.03/25.82    (93)  op(e0, all_10_2) = all_10_0
% 170.03/25.82    (94)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 170.03/25.82    (95)   ~ (all_52_1 = all_52_13)
% 170.03/25.82    (96)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 170.03/25.82    (97)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 170.03/25.82    (98)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 170.03/25.82    (99)  all_58_20 = all_52_4
% 170.03/25.82    (100)  all_54_10 = all_10_2
% 170.03/25.82    (101)  all_54_15 = all_14_2
% 170.03/25.82    (102)   ~ (all_52_7 = all_52_11)
% 170.03/25.82    (103)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 170.03/25.82    (104)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.03/25.82    (105)  op(all_10_2, e1) = e0
% 170.03/25.82    (106)   ~ (all_52_8 = all_52_11)
% 170.03/25.82    (107)   ~ (all_52_8 = all_6_2)
% 170.03/25.82    (108)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 170.03/25.82    (109)  all_56_6 = all_52_2
% 170.03/25.82    (110)   ~ (all_52_1 = all_52_9)
% 170.03/25.82    (111)  all_58_24 = all_52_8
% 170.03/25.82    (112)   ~ (all_52_9 = all_52_11)
% 170.03/25.82    (113)  all_58_22 = all_52_6
% 170.03/25.82    (114)   ~ (all_52_4 = all_52_12)
% 170.03/25.82    (115)  all_56_3 = all_4_2
% 170.03/25.82    (116)  all_54_0 = all_6_2
% 170.03/25.82    (117)   ~ (all_52_14 = all_10_2)
% 170.03/25.82    (118)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 170.03/25.82    (119)  all_58_24 = e0
% 170.03/25.82    (120)   ~ (all_52_11 = e0)
% 170.03/25.82    (121)   ~ (all_52_2 = all_52_3)
% 170.03/25.82    (122)   ~ (all_52_14 = all_14_2)
% 170.03/25.82    (123)  all_58_25 = all_52_9
% 170.03/25.82    (124)  all_34_0 = all_10_0
% 170.03/25.82    (125)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 170.03/25.82    (126)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.03/25.82             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.03/25.82    (127)  all_54_12 = all_52_3
% 170.03/25.82    (128)   ~ (all_52_2 = all_52_14)
% 170.03/25.82    (129)  op(e0, all_14_2) = all_58_15
% 170.03/25.82    (130)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 170.03/25.82    (131)  all_58_21 = all_4_2
% 170.03/25.82    (132)  all_56_10 = all_52_13
% 170.03/25.82    (133)   ~ (all_52_3 = e0)
% 170.03/25.82    (134)  op(e2, all_52_9) = all_58_6
% 170.03/25.82    (135)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 170.03/25.82    (136)   ~ (e2 = e0)
% 170.03/25.82    (137)   ~ (all_52_1 = all_52_3)
% 170.03/25.82    (138)  all_58_28 = all_52_12
% 170.03/25.82    (139)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 170.03/25.82    (140)   ~ (e1 = e0)
% 170.03/25.82    (141)  all_54_4 = all_52_1
% 170.03/25.82    (142)  all_56_7 = all_52_6
% 170.03/25.82    (143)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 170.03/25.82             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 170.03/25.82             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 170.03/25.82             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 170.03/25.82             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 170.03/25.82             (all_58_15 = e0))
% 170.03/25.82    (144)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 170.03/25.82    (145)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 170.03/25.82    (146)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.03/25.82           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.03/25.82           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.03/25.82           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.03/25.82           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.03/25.82           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.03/25.82           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.03/25.82           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.03/25.82           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.03/25.82           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.03/25.82             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.03/25.82             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.03/25.82             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.03/25.82             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.03/25.82             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.03/25.82             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.03/25.82             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.03/25.82             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.03/25.82             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.03/25.82             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.03/25.82             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.03/25.82             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.03/25.82             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.03/25.82             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.03/25.82             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.03/25.82             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.03/25.82           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.03/25.82           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.03/25.82           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.03/25.82             all_58_30 = e0 & e1 = e0)
% 170.03/25.82    (147)  all_54_7 = all_52_13
% 170.03/25.82    (148)   ~ (all_52_2 = all_10_2)
% 170.03/25.82    (149)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 170.03/25.82    (150)   ~ (all_52_12 = all_52_13)
% 170.03/25.82  
% 170.03/25.82  Begin of proof
% 170.03/25.82  | 
% 170.03/25.82  | BETA: splitting (5) gives:
% 170.03/25.82  | 
% 170.03/25.82  | Case 1:
% 170.03/25.82  | | 
% 170.03/25.82  | |   (151)  all_56_12 = e0
% 170.03/25.82  | | 
% 170.03/25.82  | | REF_CLOSE: (6), (133), (151) are inconsistent by sub-proof #919.
% 170.03/25.82  | | 
% 170.03/25.82  | Case 2:
% 170.03/25.82  | | 
% 170.03/25.82  | |   (152)  all_56_13 = e0 | all_56_14 = e0
% 170.03/25.82  | | 
% 170.03/25.82  | | BETA: splitting (152) gives:
% 170.03/25.82  | | 
% 170.03/25.82  | | Case 1:
% 170.03/25.82  | | | 
% 170.03/25.82  | | |   (153)  all_56_13 = e0
% 170.03/25.82  | | | 
% 170.03/25.82  | | | COMBINE_EQS: (77), (153) imply:
% 170.03/25.82  | | |   (154)  all_52_7 = e0
% 170.03/25.82  | | | 
% 170.03/25.82  | | | SIMP: (154) implies:
% 170.03/25.82  | | |   (155)  all_52_7 = e0
% 170.03/25.82  | | | 
% 170.03/25.82  | | | COMBINE_EQS: (12), (155) imply:
% 170.03/25.82  | | |   (156)  all_58_23 = e0
% 170.03/25.82  | | | 
% 170.03/25.82  | | | REDUCE: (63), (155) imply:
% 170.03/25.82  | | |   (157)   ~ (all_52_4 = e0)
% 170.03/25.82  | | | 
% 170.03/25.82  | | | REDUCE: (50), (155) imply:
% 170.03/25.82  | | |   (158)   ~ (all_52_6 = e0)
% 170.03/25.82  | | | 
% 170.03/25.82  | | | REDUCE: (102), (155) imply:
% 170.03/25.82  | | |   (159)   ~ (all_52_11 = e0)
% 170.03/25.82  | | | 
% 170.03/25.82  | | | REDUCE: (89), (155) imply:
% 170.03/25.82  | | |   (160)   ~ (all_4_2 = e0)
% 170.03/25.82  | | | 
% 170.03/25.82  | | | SIMP: (160) implies:
% 170.03/25.82  | | |   (161)   ~ (all_4_2 = e0)
% 170.03/25.82  | | | 
% 170.03/25.82  | | | REDUCE: (79), (155) imply:
% 170.03/25.82  | | |   (162)  op(e0, e0) = all_58_13
% 170.03/25.82  | | | 
% 170.03/25.82  | | | GROUND_INST: instantiating (126) with all_14_2, all_58_13, e0, e0,
% 170.03/25.82  | | |              simplifying with (3), (162) gives:
% 170.03/25.82  | | |   (163)  all_58_13 = all_14_2
% 170.03/25.82  | | | 
% 170.03/25.82  | | | GROUND_INST: instantiating (126) with all_52_12, all_58_2, e0, e3,
% 170.03/25.82  | | |              simplifying with (27), (85) gives:
% 170.03/25.82  | | |   (164)  all_58_2 = all_52_12
% 170.03/25.82  | | | 
% 170.03/25.82  | | | BETA: splitting (104) gives:
% 170.03/25.82  | | | 
% 170.03/25.82  | | | Case 1:
% 170.03/25.82  | | | | 
% 170.03/25.82  | | | |   (165)  all_56_6 = e0
% 170.03/25.82  | | | | 
% 170.03/25.82  | | | | COMBINE_EQS: (109), (165) imply:
% 170.03/25.82  | | | |   (166)  all_52_2 = e0
% 170.03/25.82  | | | | 
% 170.03/25.82  | | | | COMBINE_EQS: (73), (166) imply:
% 170.03/25.82  | | | |   (167)  all_58_18 = e0
% 170.03/25.82  | | | | 
% 170.03/25.82  | | | | REDUCE: (87), (166) imply:
% 170.03/25.82  | | | |   (168)   ~ (all_52_1 = e0)
% 170.03/25.82  | | | | 
% 170.03/25.82  | | | | REDUCE: (121), (166) imply:
% 170.03/25.82  | | | |   (169)   ~ (all_52_3 = e0)
% 170.03/25.82  | | | | 
% 170.03/25.82  | | | | REDUCE: (148), (166) imply:
% 170.03/25.82  | | | |   (170)   ~ (all_10_2 = e0)
% 170.03/25.82  | | | | 
% 170.03/25.82  | | | | REDUCE: (13), (166) imply:
% 170.03/25.82  | | | |   (171)   ~ (all_6_2 = e0)
% 170.03/25.82  | | | | 
% 170.03/25.82  | | | | SIMP: (171) implies:
% 170.03/25.82  | | | |   (172)   ~ (all_6_2 = e0)
% 170.03/25.82  | | | | 
% 170.03/25.82  | | | | REF_CLOSE: (2), (6), (7), (9), (11), (14), (16), (18), (21), (25), (26),
% 170.03/25.82  | | | |            (30), (33), (34), (35), (37), (38), (39), (40), (42), (43),
% 170.03/25.82  | | | |            (44), (45), (47), (49), (51), (52), (53), (54), (55), (57),
% 170.03/25.82  | | | |            (58), (59), (62), (67), (72), (74), (76), (78), (83), (84),
% 170.03/25.82  | | | |            (86), (92), (93), (94), (95), (97), (98), (100), (101),
% 170.03/25.82  | | | |            (105), (108), (110), (115), (116), (117), (118), (119),
% 170.03/25.82  | | | |            (120), (122), (123), (124), (126), (127), (129), (130),
% 170.03/25.82  | | | |            (132), (133), (136), (137), (138), (140), (141), (145),
% 170.03/25.82  | | | |            (150), (153), (161), (165), (167), (168), (172) are
% 170.03/25.82  | | | |            inconsistent by sub-proof #136.
% 170.03/25.82  | | | | 
% 170.03/25.82  | | | Case 2:
% 170.03/25.82  | | | | 
% 170.03/25.82  | | | |   (173)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.03/25.82  | | | | 
% 170.03/25.82  | | | | REF_CLOSE: (1), (4), (6), (7), (8), (9), (10), (11), (13), (15), (16),
% 170.03/25.82  | | | |            (17), (18), (19), (20), (21), (22), (23), (24), (28), (29),
% 170.03/25.82  | | | |            (30), (31), (32), (33), (34), (35), (36), (38), (40), (41),
% 170.03/25.82  | | | |            (42), (43), (44), (45), (46), (47), (48), (49), (51), (53),
% 170.03/25.82  | | | |            (54), (55), (56), (57), (58), (59), (60), (61), (62), (64),
% 170.03/25.82  | | | |            (65), (66), (67), (68), (69), (70), (71), (72), (73), (74),
% 170.03/25.82  | | | |            (75), (76), (77), (78), (80), (81), (82), (83), (84), (85),
% 170.03/25.82  | | | |            (86), (87), (88), (90), (91), (92), (95), (96), (99), (101),
% 170.03/25.82  | | | |            (103), (105), (106), (107), (108), (109), (110), (111),
% 170.03/25.82  | | | |            (112), (113), (114), (115), (116), (117), (118), (120),
% 170.03/25.82  | | | |            (122), (123), (125), (126), (128), (131), (132), (134),
% 170.03/25.82  | | | |            (135), (136), (137), (138), (139), (140), (141), (142),
% 170.03/25.82  | | | |            (143), (144), (146), (147), (148), (149), (150), (156),
% 170.03/25.82  | | | |            (157), (158), (161), (163), (173) are inconsistent by
% 170.03/25.82  | | | |            sub-proof #135.
% 170.03/25.82  | | | | 
% 170.03/25.82  | | | End of split
% 170.03/25.82  | | | 
% 170.03/25.82  | | Case 2:
% 170.03/25.82  | | | 
% 170.03/25.82  | | |   (174)  all_56_14 = e0
% 170.03/25.82  | | | 
% 170.03/25.82  | | | REF_CLOSE: (34), (120), (174) are inconsistent by sub-proof #915.
% 170.03/25.82  | | | 
% 170.03/25.82  | | End of split
% 170.03/25.82  | | 
% 170.03/25.82  | End of split
% 170.03/25.82  | 
% 170.03/25.82  End of proof
% 170.03/25.82  
% 170.03/25.82  Sub-proof #57 shows that the following formulas are inconsistent:
% 170.03/25.82  ----------------------------------------------------------------
% 170.03/25.82    (1)   ~ (all_52_12 = all_14_2)
% 170.03/25.82    (2)  op(e0, e0) = all_14_2
% 170.03/25.82    (3)  all_56_1 = all_52_4
% 170.03/25.82    (4)  op(all_4_2, e2) = e0
% 170.03/25.82    (5)  all_56_12 = all_52_3
% 170.03/25.82    (6)  all_56_15 = e0 | ((all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 170.03/25.82           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0))
% 170.03/25.82    (7)  op(e1, all_52_14) = all_58_11
% 170.03/25.82    (8)   ~ (all_10_2 = e0)
% 170.03/25.82    (9)   ~ (all_52_8 = all_52_12)
% 170.03/25.82    (10)   ~ (e3 = e1)
% 170.03/25.82    (11)  all_58_23 = all_52_7
% 170.03/25.82    (12)   ~ (all_52_2 = all_6_2)
% 170.03/25.82    (13)   ~ (all_52_4 = all_4_2)
% 170.03/25.82    (14)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.03/25.82    (15)  all_54_3 = all_52_12
% 170.03/25.82    (16)  all_56_5 = all_52_9
% 170.03/25.82    (17)   ~ (all_52_3 = all_52_11)
% 170.03/25.82    (18)  op(all_6_2, e3) = all_6_1
% 170.03/25.82    (19)   ~ (all_52_12 = all_6_2)
% 170.03/25.82    (20)  op(e2, e0) = all_52_13
% 170.03/25.82    (21)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 170.03/25.82    (22)   ~ (all_52_6 = all_4_2)
% 170.03/25.82    (23)  op(e3, all_6_2) = all_58_0
% 170.03/25.82    (24)  op(e1, e0) = all_52_14
% 170.03/25.82    (25)  all_56_15 = all_14_2
% 170.03/25.82    (26)  op(e0, e2) = all_52_7
% 170.03/25.82    (27)  all_54_1 = all_52_4
% 170.03/25.82    (28)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 170.03/25.82    (29)   ~ (all_52_9 = all_4_2)
% 170.03/25.82    (30)   ~ (all_52_3 = all_52_7)
% 170.03/25.82    (31)  all_54_6 = all_52_9
% 170.03/25.82    (32)  all_56_14 = all_52_11
% 170.03/25.82    (33)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 170.03/25.82    (34)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 170.03/25.82    (35)   ~ (all_52_13 = all_4_2)
% 170.03/25.82    (36)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.03/25.82    (37)  all_56_8 = all_10_2
% 170.03/25.82    (38)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.03/25.82    (39)  all_58_26 = all_10_2
% 170.03/25.82    (40)   ~ (all_52_4 = all_52_6)
% 170.03/25.82    (41)  all_58_31 = all_14_2
% 170.03/25.82    (42)   ~ (all_52_11 = all_10_2)
% 170.03/25.82    (43)   ~ (all_52_9 = all_52_13)
% 170.03/25.82    (44)   ~ (all_52_3 = all_6_2)
% 170.03/25.82    (45)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 170.03/25.82    (46)   ~ (all_52_1 = all_6_2)
% 170.03/25.82    (47)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 170.03/25.82    (48)  all_54_2 = all_52_8
% 170.03/25.82    (49)  all_56_11 = all_52_14
% 170.03/25.82    (50)   ~ (all_52_6 = all_52_7)
% 170.03/25.82    (51)  all_56_0 = all_6_2
% 170.03/25.82    (52)   ~ (all_52_9 = all_10_2)
% 170.03/25.82    (53)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 170.03/25.82    (54)  all_58_30 = all_52_14
% 170.03/25.82    (55)  all_58_27 = all_52_11
% 170.03/25.82    (56)  all_54_14 = all_52_11
% 170.03/25.82    (57)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 170.03/25.82    (58)  all_58_17 = all_52_1
% 170.03/25.82    (59)  all_58_19 = all_52_3
% 170.03/25.82    (60)  all_56_9 = all_52_12
% 170.03/25.82    (61)   ~ (all_52_2 = all_52_6)
% 170.03/25.82    (62)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 170.03/25.82    (63)  op(all_14_2, e0) = e1
% 170.03/25.82    (64)   ~ (e3 = e2)
% 170.03/25.82    (65)   ~ (all_52_4 = all_52_7)
% 170.03/25.82    (66)   ~ (e2 = e1)
% 170.03/25.82    (67)   ~ (all_52_6 = all_10_2)
% 170.03/25.82    (68)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 170.03/25.82    (69)  op(e0, all_52_11) = all_58_14
% 170.03/25.82    (70)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 170.03/25.82    (71)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 170.03/25.82    (72)   ~ (all_52_13 = all_14_2)
% 170.03/25.82    (73)   ~ (all_52_1 = all_4_2)
% 170.03/25.82    (74)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.03/25.82    (75)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 170.03/25.82    (76)  all_54_9 = all_52_6
% 170.03/25.82    (77)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.03/25.82    (78)   ~ (all_52_13 = all_52_14)
% 170.03/25.82    (79)  all_58_18 = all_52_2
% 170.03/25.82    (80)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.03/25.82    (81)  all_58_16 = all_6_2
% 170.03/25.82    (82)  all_56_13 = all_52_7
% 170.03/25.82    (83)  op(e0, e3) = all_52_3
% 170.03/25.82    (84)  op(e0, all_52_7) = all_58_13
% 170.03/25.82    (85)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 170.03/25.82    (86)   ~ (all_52_8 = all_52_9)
% 170.03/25.82    (87)   ~ (all_52_4 = all_6_2)
% 170.03/25.82    (88)  all_56_2 = all_52_1
% 170.03/25.82    (89)   ~ (e3 = e0)
% 170.03/25.82    (90)  op(e3, e0) = all_52_12
% 170.03/25.82    (91)  all_58_29 = all_52_13
% 170.03/25.82    (92)   ~ (all_52_1 = all_52_2)
% 170.03/25.82    (93)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 170.03/25.82    (94)  all_6_2 = e0
% 170.03/25.82    (95)   ~ (all_52_6 = all_52_14)
% 170.03/25.82    (96)   ~ (all_52_7 = all_4_2)
% 170.03/25.82    (97)   ~ (all_52_8 = all_10_2)
% 170.03/25.82    (98)  all_56_4 = all_52_8
% 170.03/25.82    (99)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.03/25.82    (100)   ~ (all_52_1 = all_52_13)
% 170.03/25.82    (101)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 170.03/25.82    (102)  all_58_20 = all_52_4
% 170.03/25.82    (103)  all_54_15 = all_14_2
% 170.03/25.82    (104)   ~ (all_52_7 = all_52_11)
% 170.03/25.82    (105)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 170.03/25.82    (106)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.03/25.82    (107)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.03/25.82    (108)   ~ (all_52_8 = all_52_11)
% 170.03/25.82    (109)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 170.03/25.82    (110)   ~ (all_52_8 = all_6_2)
% 170.03/25.82    (111)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 170.03/25.82    (112)  all_56_6 = all_52_2
% 170.03/25.82    (113)   ~ (all_52_1 = all_52_9)
% 170.03/25.82    (114)  all_58_24 = all_52_8
% 170.03/25.82    (115)   ~ (all_52_12 = all_52_14)
% 170.03/25.82    (116)   ~ (all_52_9 = all_52_11)
% 170.03/25.82    (117)  all_58_22 = all_52_6
% 170.03/25.82    (118)   ~ (all_52_4 = all_52_12)
% 170.03/25.82    (119)  all_56_3 = all_4_2
% 170.03/25.82    (120)   ~ (all_52_14 = all_10_2)
% 170.03/25.82    (121)   ~ (all_52_2 = all_52_3)
% 170.03/25.82    (122)   ~ (all_52_4 = all_52_8)
% 170.03/25.82    (123)   ~ (all_52_14 = all_14_2)
% 170.03/25.82    (124)  all_58_25 = all_52_9
% 170.03/25.82    (125)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 170.03/25.83    (126)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.03/25.83             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.03/25.83    (127)   ~ (all_52_2 = all_52_14)
% 170.03/25.83    (128)  op(e0, all_14_2) = all_58_15
% 170.03/25.83    (129)  all_58_21 = all_4_2
% 170.03/25.83    (130)  all_56_10 = all_52_13
% 170.03/25.83    (131)  op(e2, all_52_9) = all_58_6
% 170.03/25.83    (132)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 170.03/25.83    (133)   ~ (e2 = e0)
% 170.03/25.83    (134)   ~ (all_52_1 = all_52_3)
% 170.03/25.83    (135)  all_58_28 = all_52_12
% 170.03/25.83    (136)  op(e1, all_52_6) = all_58_9
% 170.03/25.83    (137)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 170.03/25.83    (138)   ~ (e1 = e0)
% 170.03/25.83    (139)  all_54_4 = all_52_1
% 170.03/25.83    (140)  all_56_7 = all_52_6
% 170.03/25.83    (141)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 170.03/25.83             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 170.03/25.83             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 170.03/25.83             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 170.03/25.83             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 170.03/25.83             (all_58_15 = e0))
% 170.03/25.83    (142)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 170.03/25.83    (143)  all_54_5 = all_4_2
% 170.03/25.83    (144)  op(e2, all_52_13) = all_58_7
% 170.03/25.83    (145)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.03/25.83           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.03/25.83           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.03/25.83           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.03/25.83           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.03/25.83           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.03/25.83           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.03/25.83           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.03/25.83           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.03/25.83           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.03/25.83             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.03/25.83             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.03/25.83             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.03/25.83             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.03/25.83             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.03/25.83             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.03/25.83             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.03/25.83             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.03/25.83             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.03/25.83             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.03/25.83             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.03/25.83             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.03/25.83             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.03/25.83             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.03/25.83             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.03/25.83             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.03/25.83           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.03/25.83           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.03/25.83           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.03/25.83             all_58_30 = e0 & e1 = e0)
% 170.03/25.83    (146)  all_54_7 = all_52_13
% 170.03/25.83    (147)   ~ (all_52_2 = all_10_2)
% 170.03/25.83    (148)  all_54_11 = all_52_14
% 170.03/25.83    (149)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 170.03/25.83    (150)   ~ (all_52_12 = all_52_13)
% 170.03/25.83  
% 170.03/25.83  Begin of proof
% 170.03/25.83  | 
% 170.03/25.83  | COMBINE_EQS: (51), (94) imply:
% 170.03/25.83  |   (151)  all_56_0 = e0
% 170.03/25.83  | 
% 170.03/25.83  | COMBINE_EQS: (81), (94) imply:
% 170.03/25.83  |   (152)  all_58_16 = e0
% 170.03/25.83  | 
% 170.03/25.83  | REDUCE: (46), (94) imply:
% 170.03/25.83  |   (153)   ~ (all_52_1 = e0)
% 170.03/25.83  | 
% 170.03/25.83  | REDUCE: (12), (94) imply:
% 170.03/25.83  |   (154)   ~ (all_52_2 = e0)
% 170.03/25.83  | 
% 170.03/25.83  | REDUCE: (44), (94) imply:
% 170.03/25.83  |   (155)   ~ (all_52_3 = e0)
% 170.03/25.83  | 
% 170.03/25.83  | REDUCE: (87), (94) imply:
% 170.03/25.83  |   (156)   ~ (all_52_4 = e0)
% 170.03/25.83  | 
% 170.03/25.83  | REDUCE: (94), (110) imply:
% 170.03/25.83  |   (157)   ~ (all_52_8 = e0)
% 170.03/25.83  | 
% 170.03/25.83  | REDUCE: (19), (94) imply:
% 170.03/25.83  |   (158)   ~ (all_52_12 = e0)
% 170.03/25.83  | 
% 170.03/25.83  | REDUCE: (18), (94) imply:
% 170.03/25.83  |   (159)  op(e0, e3) = all_6_1
% 170.03/25.83  | 
% 170.03/25.83  | REDUCE: (23), (94) imply:
% 170.03/25.83  |   (160)  op(e3, e0) = all_58_0
% 170.03/25.83  | 
% 170.03/25.83  | GROUND_INST: instantiating (126) with all_52_3, all_6_1, e3, e0, simplifying
% 170.03/25.83  |              with (83), (159) gives:
% 170.03/25.83  |   (161)  all_52_3 = all_6_1
% 170.03/25.83  | 
% 170.03/25.83  | GROUND_INST: instantiating (126) with all_52_12, all_58_0, e0, e3, simplifying
% 170.03/25.83  |              with (90), (160) gives:
% 170.03/25.83  |   (162)  all_58_0 = all_52_12
% 170.03/25.83  | 
% 170.03/25.83  | COMBINE_EQS: (5), (161) imply:
% 170.03/25.83  |   (163)  all_56_12 = all_6_1
% 170.03/25.83  | 
% 170.03/25.83  | COMBINE_EQS: (59), (161) imply:
% 170.03/25.83  |   (164)  all_58_19 = all_6_1
% 170.03/25.83  | 
% 170.03/25.83  | REDUCE: (134), (161) imply:
% 170.03/25.83  |   (165)   ~ (all_52_1 = all_6_1)
% 170.03/25.83  | 
% 170.03/25.83  | REDUCE: (121), (161) imply:
% 170.03/25.83  |   (166)   ~ (all_52_2 = all_6_1)
% 170.03/25.83  | 
% 170.03/25.83  | REDUCE: (30), (161) imply:
% 170.03/25.83  |   (167)   ~ (all_52_7 = all_6_1)
% 170.03/25.83  | 
% 170.03/25.83  | SIMP: (167) implies:
% 170.03/25.83  |   (168)   ~ (all_52_7 = all_6_1)
% 170.03/25.83  | 
% 170.03/25.83  | REDUCE: (17), (161) imply:
% 170.03/25.83  |   (169)   ~ (all_52_11 = all_6_1)
% 170.03/25.83  | 
% 170.03/25.83  | SIMP: (169) implies:
% 170.03/25.83  |   (170)   ~ (all_52_11 = all_6_1)
% 170.03/25.83  | 
% 170.03/25.83  | REDUCE: (155), (161) imply:
% 170.03/25.83  |   (171)   ~ (all_6_1 = e0)
% 170.03/25.83  | 
% 170.03/25.83  | BETA: splitting (99) gives:
% 170.03/25.83  | 
% 170.03/25.83  | Case 1:
% 170.03/25.83  | | 
% 170.03/25.83  | |   (172)  all_56_2 = e0
% 170.03/25.83  | | 
% 170.03/25.83  | | COMBINE_EQS: (88), (172) imply:
% 170.03/25.83  | |   (173)  all_52_1 = e0
% 170.03/25.83  | | 
% 170.03/25.83  | | REDUCE: (153), (173) imply:
% 170.03/25.83  | |   (174)  $false
% 170.03/25.83  | | 
% 170.03/25.83  | | CLOSE: (174) is inconsistent.
% 170.03/25.83  | | 
% 170.03/25.83  | Case 2:
% 170.03/25.83  | | 
% 170.03/25.83  | |   (175)   ~ (all_56_2 = e0)
% 170.03/25.83  | |   (176)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.03/25.83  | | 
% 170.03/25.83  | | BETA: splitting (21) gives:
% 170.03/25.83  | | 
% 170.03/25.83  | | Case 1:
% 170.03/25.83  | | | 
% 170.03/25.83  | | |   (177)  all_54_5 = e0
% 170.03/25.83  | | | 
% 170.03/25.83  | | | COMBINE_EQS: (143), (177) imply:
% 170.03/25.83  | | |   (178)  all_4_2 = e0
% 170.03/25.83  | | | 
% 170.03/25.83  | | | SIMP: (178) implies:
% 170.03/25.83  | | |   (179)  all_4_2 = e0
% 170.03/25.83  | | | 
% 170.03/25.83  | | | REF_CLOSE: (4), (16), (26), (29), (35), (96), (119), (126), (130), (176),
% 170.03/25.83  | | |            (179) are inconsistent by sub-proof #58.
% 170.03/25.83  | | | 
% 170.03/25.83  | | Case 2:
% 170.03/25.83  | | | 
% 170.03/25.83  | | |   (180)   ~ (all_54_5 = e0)
% 170.03/25.83  | | | 
% 170.03/25.83  | | | REDUCE: (143), (180) imply:
% 170.03/25.83  | | |   (181)   ~ (all_4_2 = e0)
% 170.03/25.83  | | | 
% 170.03/25.83  | | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (9), (10), (11), (13), (14),
% 170.03/25.83  | | |            (15), (16), (20), (21), (22), (24), (25), (27), (28), (29),
% 170.03/25.83  | | |            (31), (32), (33), (34), (36), (37), (38), (39), (40), (41),
% 170.03/25.83  | | |            (42), (43), (45), (47), (48), (49), (50), (52), (53), (54),
% 170.03/25.83  | | |            (55), (56), (57), (58), (60), (61), (62), (63), (64), (65),
% 170.03/25.83  | | |            (66), (67), (68), (69), (70), (71), (72), (73), (74), (75),
% 170.03/25.83  | | |            (76), (77), (78), (79), (80), (82), (84), (85), (86), (88),
% 170.03/25.83  | | |            (89), (91), (92), (93), (95), (96), (97), (98), (99), (100),
% 170.03/25.83  | | |            (101), (102), (103), (104), (105), (106), (107), (108), (109),
% 170.03/25.83  | | |            (111), (112), (113), (114), (115), (116), (117), (118), (119),
% 170.03/25.83  | | |            (120), (122), (123), (124), (125), (126), (127), (128), (129),
% 170.03/25.83  | | |            (130), (131), (132), (133), (135), (136), (137), (138), (139),
% 170.03/25.83  | | |            (140), (141), (142), (143), (144), (145), (146), (147), (148),
% 170.03/25.83  | | |            (149), (150), (151), (152), (153), (154), (156), (157), (158),
% 170.03/25.83  | | |            (162), (163), (164), (165), (166), (168), (170), (171), (181)
% 170.03/25.83  | | |            are inconsistent by sub-proof #402.
% 170.03/25.83  | | | 
% 170.03/25.83  | | End of split
% 170.03/25.83  | | 
% 170.03/25.83  | End of split
% 170.03/25.83  | 
% 170.03/25.83  End of proof
% 170.03/25.83  
% 170.03/25.83  Sub-proof #58 shows that the following formulas are inconsistent:
% 170.03/25.83  ----------------------------------------------------------------
% 170.03/25.83    (1)  op(all_4_2, e2) = e0
% 170.03/25.83    (2)  all_56_5 = all_52_9
% 170.03/25.83    (3)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.03/25.83    (4)  op(e0, e2) = all_52_7
% 170.03/25.83    (5)   ~ (all_52_9 = all_4_2)
% 170.03/25.83    (6)   ~ (all_52_13 = all_4_2)
% 170.03/25.83    (7)  all_4_2 = e0
% 170.03/25.83    (8)   ~ (all_52_7 = all_4_2)
% 170.03/25.83    (9)  all_56_3 = all_4_2
% 170.03/25.83    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.03/25.83            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.03/25.83    (11)  all_56_10 = all_52_13
% 170.03/25.83  
% 170.03/25.83  Begin of proof
% 170.03/25.83  | 
% 170.03/25.83  | REDUCE: (5), (7) imply:
% 170.03/25.83  |   (12)   ~ (all_52_9 = e0)
% 170.03/25.83  | 
% 170.03/25.83  | REDUCE: (6), (7) imply:
% 170.03/25.83  |   (13)   ~ (all_52_13 = e0)
% 170.03/25.83  | 
% 170.03/25.83  | REF_CLOSE: (1), (2), (3), (4), (8), (9), (10), (11), (12), (13) are
% 170.03/25.83  |            inconsistent by sub-proof #127.
% 170.03/25.83  | 
% 170.03/25.83  End of proof
% 170.03/25.83  
% 170.03/25.83  Sub-proof #59 shows that the following formulas are inconsistent:
% 170.03/25.83  ----------------------------------------------------------------
% 170.03/25.83    (1)   ~ (all_52_12 = all_14_2)
% 170.03/25.83    (2)  all_54_8 = all_52_2
% 170.03/25.83    (3)  all_56_1 = all_52_4
% 170.03/25.83    (4)   ~ (all_6_0 = e0)
% 170.03/25.83    (5)  all_56_12 = all_52_3
% 170.03/25.83    (6)  op(e1, e3) = all_52_2
% 170.03/25.83    (7)   ~ (all_52_8 = all_52_12)
% 170.03/25.83    (8)   ~ (e3 = e1)
% 170.03/25.83    (9)  all_58_23 = all_52_7
% 170.03/25.83    (10)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 170.03/25.83    (11)   ~ (all_52_2 = all_6_2)
% 170.03/25.83    (12)   ~ (all_52_4 = all_4_2)
% 170.03/25.83    (13)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.03/25.83    (14)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 170.03/25.83    (15)  all_54_3 = all_52_12
% 170.03/25.83    (16)  all_56_5 = all_52_9
% 170.03/25.83    (17)   ~ (all_52_3 = all_52_11)
% 170.03/25.83    (18)  op(all_6_2, e3) = all_6_1
% 170.03/25.83    (19)   ~ (all_52_12 = all_6_2)
% 170.03/25.83    (20)  op(e2, e0) = all_52_13
% 170.03/25.83    (21)   ~ (all_52_6 = all_4_2)
% 170.03/25.83    (22)  all_56_15 = all_14_2
% 170.03/25.83    (23)   ~ (all_52_11 = all_14_2)
% 170.03/25.83    (24)  all_54_1 = all_52_4
% 170.03/25.83    (25)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 170.03/25.83    (26)   ~ (all_52_9 = all_4_2)
% 170.03/25.83    (27)   ~ (all_52_3 = all_52_7)
% 170.03/25.83    (28)  all_54_6 = all_52_9
% 170.03/25.83    (29)  all_56_14 = all_52_11
% 170.03/25.83    (30)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 170.03/25.83    (31)   ~ (all_52_13 = all_4_2)
% 170.03/25.83    (32)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.03/25.83    (33)  all_56_8 = all_10_2
% 170.03/25.83    (34)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.03/25.83    (35)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 170.03/25.83    (36)  all_58_26 = all_10_2
% 170.03/25.83    (37)   ~ (all_52_4 = all_52_6)
% 170.03/25.83    (38)  all_58_31 = all_14_2
% 170.03/25.83    (39)   ~ (all_52_11 = all_10_2)
% 170.03/25.83    (40)   ~ (all_52_9 = all_52_13)
% 170.03/25.83    (41)   ~ (all_52_3 = all_6_2)
% 170.03/25.83    (42)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 170.03/25.83    (43)  op(all_6_1, all_6_2) = all_6_0
% 170.03/25.83    (44)   ~ (all_52_1 = all_6_2)
% 170.03/25.83    (45)  all_54_2 = all_52_8
% 170.03/25.83    (46)  all_56_11 = all_52_14
% 170.03/25.83    (47)  op(e2, e1) = all_52_9
% 170.03/25.83    (48)   ~ (all_52_6 = all_52_7)
% 170.03/25.83    (49)  all_56_0 = all_6_2
% 170.03/25.83    (50)   ~ (all_52_9 = all_10_2)
% 170.03/25.83    (51)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 170.03/25.83    (52)  all_58_30 = all_52_14
% 170.03/25.83    (53)  all_58_27 = all_52_11
% 170.03/25.83    (54)  all_54_14 = all_52_11
% 170.03/25.83    (55)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 170.03/25.83    (56)  all_58_17 = all_52_1
% 170.03/25.83    (57)  all_58_19 = all_52_3
% 170.03/25.83    (58)  all_56_9 = all_52_12
% 170.03/25.83    (59)   ~ (all_52_2 = all_52_6)
% 170.03/25.83    (60)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 170.03/25.83    (61)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.03/25.83    (62)  op(all_14_2, e0) = e1
% 170.03/25.83    (63)   ~ (e3 = e2)
% 170.03/25.83    (64)   ~ (all_52_4 = all_52_7)
% 170.03/25.83    (65)   ~ (e2 = e1)
% 170.03/25.83    (66)   ~ (all_52_6 = all_10_2)
% 170.03/25.83    (67)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 170.03/25.83    (68)   ~ (all_52_7 = all_14_2)
% 170.03/25.83    (69)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 170.03/25.83    (70)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 170.03/25.83    (71)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 170.03/25.83    (72)   ~ (all_52_13 = all_14_2)
% 170.03/25.83    (73)   ~ (all_52_1 = all_4_2)
% 170.03/25.83    (74)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.03/25.83    (75)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 170.03/25.83    (76)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.03/25.83    (77)   ~ (all_52_13 = all_52_14)
% 170.03/25.83    (78)  op(e2, e3) = all_52_1
% 170.03/25.83    (79)  all_58_18 = all_52_2
% 170.03/25.83    (80)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.03/25.83    (81)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 170.03/25.83    (82)  all_58_16 = all_6_2
% 170.03/25.83    (83)  all_56_13 = all_52_7
% 170.03/25.83    (84)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 170.03/25.83    (85)   ~ (all_52_8 = all_52_9)
% 170.03/25.83    (86)   ~ (all_52_4 = all_6_2)
% 170.03/25.83    (87)  all_56_2 = all_52_1
% 170.03/25.83    (88)   ~ (e3 = e0)
% 170.03/25.83    (89)  all_58_29 = all_52_13
% 170.03/25.83    (90)   ~ (all_52_1 = all_52_2)
% 170.03/25.83    (91)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 170.03/25.83    (92)   ~ (all_52_13 = e0)
% 170.03/25.83    (93)   ~ (all_4_2 = e0)
% 170.03/25.83    (94)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 170.03/25.83    (95)   ~ (all_52_6 = all_52_14)
% 170.03/25.83    (96)   ~ (all_52_7 = all_4_2)
% 170.03/25.83    (97)   ~ (all_52_8 = all_10_2)
% 170.03/25.83    (98)  all_56_4 = all_52_8
% 170.03/25.83    (99)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.03/25.83    (100)   ~ (all_52_1 = all_52_13)
% 170.03/25.83    (101)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 170.03/25.83    (102)  all_58_20 = all_52_4
% 170.03/25.83    (103)  all_54_13 = all_52_7
% 170.03/25.83    (104)  all_54_15 = all_14_2
% 170.03/25.83    (105)   ~ (all_52_7 = all_52_11)
% 170.03/25.83    (106)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 170.03/25.83    (107)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.03/25.83    (108)   ~ (all_52_8 = all_52_11)
% 170.03/25.83    (109)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 170.03/25.83    (110)   ~ (all_52_8 = all_6_2)
% 170.03/25.83    (111)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 170.03/25.83    (112)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 170.03/25.83    (113)  all_56_6 = all_52_2
% 170.03/25.83    (114)   ~ (all_52_1 = all_52_9)
% 170.03/25.83    (115)   ~ (all_52_7 = e0)
% 170.03/25.83    (116)  all_58_24 = all_52_8
% 170.03/25.83    (117)   ~ (all_52_12 = all_52_14)
% 170.03/25.83    (118)   ~ (all_52_9 = all_52_11)
% 170.03/25.83    (119)  all_58_22 = all_52_6
% 170.03/25.83    (120)   ~ (all_52_4 = all_52_12)
% 170.03/25.83    (121)  all_56_3 = all_4_2
% 170.03/25.83    (122)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 170.03/25.83    (123)  all_54_0 = all_6_2
% 170.03/25.83    (124)   ~ (all_52_14 = all_10_2)
% 170.03/25.83    (125)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 170.03/25.83    (126)   ~ (all_52_2 = all_52_3)
% 170.03/25.83    (127)   ~ (all_52_4 = all_52_8)
% 170.03/25.83    (128)   ~ (all_52_14 = all_14_2)
% 170.03/25.83    (129)  all_58_25 = all_52_9
% 170.03/25.83    (130)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.03/25.83             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.03/25.83    (131)   ~ (all_6_1 = e0)
% 170.03/25.83    (132)   ~ (all_52_2 = all_52_14)
% 170.03/25.83    (133)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 170.03/25.83    (134)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 170.03/25.83    (135)  all_58_21 = all_4_2
% 170.03/25.83    (136)  all_56_10 = all_52_13
% 170.03/25.83    (137)  op(e2, all_52_9) = all_58_6
% 170.03/25.83    (138)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 170.03/25.83    (139)   ~ (e2 = e0)
% 170.03/25.83    (140)   ~ (all_52_1 = all_52_3)
% 170.03/25.83    (141)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 170.03/25.83    (142)  all_58_28 = all_52_12
% 170.03/25.83    (143)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 170.03/25.83    (144)   ~ (e1 = e0)
% 170.03/25.83    (145)  all_54_4 = all_52_1
% 170.03/25.83    (146)  all_56_7 = all_52_6
% 170.03/25.83    (147)  all_54_5 = all_4_2
% 170.03/25.83    (148)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 170.03/25.83    (149)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 170.03/25.83    (150)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.03/25.83           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.03/25.83           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.03/25.83           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.03/25.83           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.03/25.83           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.03/25.83           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.03/25.83           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.03/25.83           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.03/25.83           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.03/25.83             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.03/25.83             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.03/25.83             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.03/25.83             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.03/25.83             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.03/25.83             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.03/25.83             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.03/25.83             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.03/25.83             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.03/25.83             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.03/25.83             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.03/25.83             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.03/25.83             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.03/25.83             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.03/25.83             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.03/25.83             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.03/25.83           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.03/25.83           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.03/25.83           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.03/25.83             all_58_30 = e0 & e1 = e0)
% 170.03/25.83    (151)  all_54_7 = all_52_13
% 170.03/25.83    (152)   ~ (all_52_2 = all_10_2)
% 170.03/25.83    (153)  op(e1, e2) = all_52_6
% 170.03/25.83    (154)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 170.03/25.83    (155)   ~ (all_52_12 = all_52_13)
% 170.03/25.83  
% 170.03/25.83  Begin of proof
% 170.03/25.83  | 
% 170.03/25.83  | BETA: splitting (14) gives:
% 170.03/25.83  | 
% 170.03/25.83  | Case 1:
% 170.03/25.83  | | 
% 170.03/25.83  | |   (156)  all_56_3 = e0
% 170.03/25.83  | | 
% 170.03/25.83  | | COMBINE_EQS: (121), (156) imply:
% 170.03/25.83  | |   (157)  all_4_2 = e0
% 170.03/25.83  | | 
% 170.03/25.83  | | REDUCE: (93), (157) imply:
% 170.03/25.83  | |   (158)  $false
% 170.03/25.83  | | 
% 170.03/25.83  | | CLOSE: (158) is inconsistent.
% 170.03/25.83  | | 
% 170.03/25.83  | Case 2:
% 170.03/25.83  | | 
% 170.03/25.83  | |   (159)  all_56_7 = e0 | all_56_13 = e0
% 170.03/25.83  | | 
% 170.03/25.83  | | BETA: splitting (159) gives:
% 170.03/25.83  | | 
% 170.03/25.83  | | Case 1:
% 170.03/25.83  | | | 
% 170.03/25.83  | | |   (160)  all_56_7 = e0
% 170.03/25.83  | | | 
% 170.03/25.83  | | | COMBINE_EQS: (146), (160) imply:
% 170.03/25.83  | | |   (161)  all_52_6 = e0
% 170.03/25.83  | | | 
% 170.03/25.83  | | | COMBINE_EQS: (119), (161) imply:
% 170.03/25.83  | | |   (162)  all_58_22 = e0
% 170.03/25.83  | | | 
% 170.03/25.83  | | | REDUCE: (59), (161) imply:
% 170.03/25.83  | | |   (163)   ~ (all_52_2 = e0)
% 170.03/25.83  | | | 
% 170.03/25.83  | | | REDUCE: (48), (161) imply:
% 170.03/25.83  | | |   (164)   ~ (all_52_7 = e0)
% 170.03/25.83  | | | 
% 170.03/25.83  | | | REDUCE: (95), (161) imply:
% 170.03/25.83  | | |   (165)   ~ (all_52_14 = e0)
% 170.03/25.83  | | | 
% 170.03/25.83  | | | SIMP: (165) implies:
% 170.03/25.83  | | |   (166)   ~ (all_52_14 = e0)
% 170.03/25.83  | | | 
% 170.03/25.83  | | | REDUCE: (66), (161) imply:
% 170.03/25.83  | | |   (167)   ~ (all_10_2 = e0)
% 170.03/25.83  | | | 
% 170.03/25.83  | | | SIMP: (167) implies:
% 170.03/25.83  | | |   (168)   ~ (all_10_2 = e0)
% 170.03/25.83  | | | 
% 170.03/25.83  | | | REDUCE: (21), (161) imply:
% 170.03/25.83  | | |   (169)   ~ (all_4_2 = e0)
% 170.03/25.83  | | | 
% 170.03/25.83  | | | BETA: splitting (133) gives:
% 170.03/25.83  | | | 
% 170.03/25.83  | | | Case 1:
% 170.03/25.83  | | | | 
% 170.03/25.83  | | | |   (170)  all_56_9 = e0
% 170.03/25.83  | | | | 
% 170.03/25.83  | | | | COMBINE_EQS: (58), (170) imply:
% 170.03/25.83  | | | |   (171)  all_52_12 = e0
% 170.03/25.83  | | | | 
% 170.03/25.83  | | | | COMBINE_EQS: (142), (171) imply:
% 170.03/25.83  | | | |   (172)  all_58_28 = e0
% 170.03/25.83  | | | | 
% 170.03/25.83  | | | | REDUCE: (120), (171) imply:
% 170.03/25.83  | | | |   (173)   ~ (all_52_4 = e0)
% 170.03/25.83  | | | | 
% 170.03/25.83  | | | | REDUCE: (1), (171) imply:
% 170.03/25.83  | | | |   (174)   ~ (all_14_2 = e0)
% 170.03/25.83  | | | | 
% 170.03/25.83  | | | | SIMP: (174) implies:
% 170.03/25.83  | | | |   (175)   ~ (all_14_2 = e0)
% 170.03/25.83  | | | | 
% 170.03/25.83  | | | | BETA: splitting (99) gives:
% 170.03/25.83  | | | | 
% 170.03/25.83  | | | | Case 1:
% 170.03/25.83  | | | | | 
% 170.03/25.83  | | | | |   (176)  all_56_2 = e0
% 170.03/25.83  | | | | | 
% 170.03/25.83  | | | | | COMBINE_EQS: (87), (176) imply:
% 170.03/25.83  | | | | |   (177)  all_52_1 = e0
% 170.03/25.83  | | | | | 
% 170.03/25.83  | | | | | COMBINE_EQS: (56), (177) imply:
% 170.03/25.83  | | | | |   (178)  all_58_17 = e0
% 170.03/25.83  | | | | | 
% 170.03/25.83  | | | | | REDUCE: (90), (177) imply:
% 170.03/25.83  | | | | |   (179)   ~ (all_52_2 = e0)
% 170.03/25.83  | | | | | 
% 170.03/25.83  | | | | | REDUCE: (140), (177) imply:
% 170.03/25.83  | | | | |   (180)   ~ (all_52_3 = e0)
% 170.03/25.83  | | | | | 
% 170.03/25.83  | | | | | SIMP: (180) implies:
% 170.03/25.83  | | | | |   (181)   ~ (all_52_3 = e0)
% 170.03/25.83  | | | | | 
% 170.03/25.83  | | | | | REDUCE: (114), (177) imply:
% 170.03/25.83  | | | | |   (182)   ~ (all_52_9 = e0)
% 170.03/25.83  | | | | | 
% 170.03/25.83  | | | | | SIMP: (182) implies:
% 170.03/25.83  | | | | |   (183)   ~ (all_52_9 = e0)
% 170.03/25.83  | | | | | 
% 170.03/25.83  | | | | | REDUCE: (100), (177) imply:
% 170.03/25.83  | | | | |   (184)   ~ (all_52_13 = e0)
% 170.03/25.83  | | | | | 
% 170.03/25.83  | | | | | REDUCE: (44), (177) imply:
% 170.03/25.83  | | | | |   (185)   ~ (all_6_2 = e0)
% 170.03/25.83  | | | | | 
% 170.03/25.83  | | | | | SIMP: (185) implies:
% 170.03/25.83  | | | | |   (186)   ~ (all_6_2 = e0)
% 170.03/25.83  | | | | | 
% 170.03/25.83  | | | | | REDUCE: (78), (177) imply:
% 170.03/25.83  | | | | |   (187)  op(e2, e3) = e0
% 170.03/25.83  | | | | | 
% 170.03/25.84  | | | | | REF_CLOSE: (2), (3), (5), (7), (8), (9), (11), (13), (16), (18), (20),
% 170.03/25.84  | | | | |            (22), (26), (28), (30), (31), (33), (34), (35), (36), (38),
% 170.03/25.84  | | | | |            (40), (41), (42), (46), (49), (52), (55), (57), (62), (63),
% 170.03/25.84  | | | | |            (65), (68), (69), (71), (72), (74), (77), (79), (80), (82),
% 170.03/25.84  | | | | |            (83), (85), (86), (89), (91), (92), (93), (98), (102),
% 170.03/25.84  | | | | |            (107), (109), (113), (115), (121), (122), (123), (124),
% 170.03/25.84  | | | | |            (126), (127), (130), (131), (132), (135), (136), (137),
% 170.03/25.84  | | | | |            (139), (142), (144), (149), (150), (151), (152), (155),
% 170.03/25.84  | | | | |            (160), (162), (163), (170), (172), (173), (175), (176),
% 170.03/25.84  | | | | |            (178), (181), (183), (186), (187) are inconsistent by
% 170.03/25.84  | | | | |            sub-proof #403.
% 170.03/25.84  | | | | | 
% 170.03/25.84  | | | | Case 2:
% 170.03/25.84  | | | | | 
% 170.03/25.84  | | | | |   (188)   ~ (all_56_2 = e0)
% 170.03/25.84  | | | | |   (189)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.03/25.84  | | | | | 
% 170.03/25.84  | | | | | REDUCE: (87), (188) imply:
% 170.03/25.84  | | | | |   (190)   ~ (all_52_1 = e0)
% 170.03/25.84  | | | | | 
% 170.03/25.84  | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 170.03/25.84  | | | | |            (12), (15), (16), (17), (18), (19), (21), (22), (23), (24),
% 170.03/25.84  | | | | |            (25), (26), (27), (29), (31), (32), (33), (34), (35), (36),
% 170.03/25.84  | | | | |            (37), (38), (39), (40), (41), (42), (43), (44), (45), (46),
% 170.03/25.84  | | | | |            (47), (48), (49), (50), (51), (52), (53), (54), (56), (57),
% 170.03/25.84  | | | | |            (58), (59), (60), (61), (63), (64), (65), (66), (67), (68),
% 170.03/25.84  | | | | |            (69), (70), (72), (73), (74), (75), (76), (77), (78), (79),
% 170.03/25.84  | | | | |            (80), (81), (82), (83), (84), (85), (86), (87), (88), (89),
% 170.03/25.84  | | | | |            (90), (91), (93), (94), (95), (96), (97), (98), (100),
% 170.03/25.84  | | | | |            (101), (102), (103), (104), (105), (106), (107), (108),
% 170.03/25.84  | | | | |            (110), (111), (112), (113), (114), (116), (117), (118),
% 170.03/25.84  | | | | |            (119), (120), (121), (122), (123), (124), (125), (127),
% 170.03/25.84  | | | | |            (128), (129), (130), (131), (132), (133), (134), (135),
% 170.03/25.84  | | | | |            (136), (138), (139), (141), (142), (143), (144), (145),
% 170.03/25.84  | | | | |            (146), (147), (148), (149), (150), (152), (153), (154),
% 170.03/25.84  | | | | |            (155), (163), (168), (189), (190) are inconsistent by
% 170.03/25.84  | | | | |            sub-proof #715.
% 170.03/25.84  | | | | | 
% 170.03/25.84  | | | | End of split
% 170.03/25.84  | | | | 
% 170.03/25.84  | | | Case 2:
% 170.03/25.84  | | | | 
% 170.03/25.84  | | | |   (191)  all_56_10 = e0 | all_56_11 = e0
% 170.03/25.84  | | | | 
% 170.03/25.84  | | | | REF_CLOSE: (46), (92), (136), (166), (191) are inconsistent by sub-proof
% 170.03/25.84  | | | |            #414.
% 170.03/25.84  | | | | 
% 170.03/25.84  | | | End of split
% 170.03/25.84  | | | 
% 170.03/25.84  | | Case 2:
% 170.03/25.84  | | | 
% 170.03/25.84  | | |   (192)  all_56_13 = e0
% 170.03/25.84  | | | 
% 170.03/25.84  | | | REF_CLOSE: (83), (115), (192) are inconsistent by sub-proof #942.
% 170.03/25.84  | | | 
% 170.03/25.84  | | End of split
% 170.03/25.84  | | 
% 170.03/25.84  | End of split
% 170.03/25.84  | 
% 170.03/25.84  End of proof
% 170.03/25.84  
% 170.03/25.84  Sub-proof #60 shows that the following formulas are inconsistent:
% 170.03/25.84  ----------------------------------------------------------------
% 170.03/25.84    (1)   ~ (all_52_12 = all_14_2)
% 170.03/25.84    (2)  all_54_8 = all_52_2
% 170.03/25.84    (3)  all_56_1 = all_52_4
% 170.03/25.84    (4)  op(all_4_2, e2) = e0
% 170.03/25.84    (5)   ~ (all_6_0 = e0)
% 170.03/25.84    (6)  all_56_12 = all_52_3
% 170.03/25.84    (7)  op(e1, e3) = all_52_2
% 170.03/25.84    (8)   ~ (all_10_2 = e0)
% 170.03/25.84    (9)   ~ (all_52_8 = all_52_12)
% 170.03/25.84    (10)   ~ (e3 = e1)
% 170.03/25.84    (11)  all_58_23 = all_52_7
% 170.03/25.84    (12)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 170.03/25.84    (13)   ~ (all_52_2 = all_6_2)
% 170.03/25.84    (14)   ~ (all_52_4 = all_4_2)
% 170.03/25.84    (15)  all_54_3 = all_52_12
% 170.03/25.84    (16)  all_56_5 = all_52_9
% 170.03/25.84    (17)   ~ (all_52_3 = all_52_11)
% 170.03/25.84    (18)  op(all_6_2, e3) = all_6_1
% 170.03/25.84    (19)   ~ (all_52_12 = all_6_2)
% 170.03/25.84    (20)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 170.03/25.84    (21)   ~ (all_52_6 = all_4_2)
% 170.03/25.84    (22)  all_56_15 = all_14_2
% 170.03/25.84    (23)   ~ (all_52_11 = all_14_2)
% 170.03/25.84    (24)  op(e0, e2) = all_52_7
% 170.03/25.84    (25)  all_54_1 = all_52_4
% 170.03/25.84    (26)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 170.03/25.84    (27)   ~ (all_52_9 = all_4_2)
% 170.03/25.84    (28)   ~ (all_52_3 = all_52_7)
% 170.03/25.84    (29)  all_56_14 = all_52_11
% 170.03/25.84    (30)   ~ (all_52_13 = all_4_2)
% 170.03/25.84    (31)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.03/25.84    (32)  all_56_8 = all_10_2
% 170.03/25.84    (33)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.03/25.84    (34)  all_58_26 = all_10_2
% 170.03/25.84    (35)   ~ (all_52_4 = all_52_6)
% 170.03/25.84    (36)  all_58_31 = all_14_2
% 170.03/25.84    (37)   ~ (all_52_11 = all_10_2)
% 170.03/25.84    (38)   ~ (all_52_9 = all_52_13)
% 170.03/25.84    (39)   ~ (all_52_3 = all_6_2)
% 170.03/25.84    (40)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 170.03/25.84    (41)  op(all_6_1, all_6_2) = all_6_0
% 170.03/25.84    (42)   ~ (all_52_1 = all_6_2)
% 170.03/25.84    (43)  all_54_2 = all_52_8
% 170.03/25.84    (44)  all_56_11 = all_52_14
% 170.03/25.84    (45)  op(e2, e1) = all_52_9
% 170.03/25.84    (46)   ~ (all_52_6 = all_52_7)
% 170.03/25.84    (47)  all_56_0 = all_6_2
% 170.03/25.84    (48)   ~ (all_52_9 = all_10_2)
% 170.03/25.84    (49)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 170.03/25.84    (50)  all_58_30 = all_52_14
% 170.03/25.84    (51)  all_58_27 = all_52_11
% 170.03/25.84    (52)  all_54_14 = all_52_11
% 170.03/25.84    (53)  all_58_17 = all_52_1
% 170.03/25.84    (54)  all_58_19 = all_52_3
% 170.03/25.84    (55)  all_56_9 = all_52_12
% 170.03/25.84    (56)   ~ (all_52_2 = all_52_6)
% 170.03/25.84    (57)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 170.03/25.84    (58)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.03/25.84    (59)   ~ (e3 = e2)
% 170.03/25.84    (60)   ~ (all_52_4 = all_52_7)
% 170.03/25.84    (61)   ~ (e2 = e1)
% 170.03/25.84    (62)   ~ (all_52_6 = all_10_2)
% 170.03/25.84    (63)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 170.03/25.84    (64)   ~ (all_52_2 = e0)
% 170.03/25.84    (65)   ~ (all_52_7 = all_14_2)
% 170.03/25.84    (66)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 170.03/25.84    (67)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 170.03/25.84    (68)   ~ (all_52_13 = all_14_2)
% 170.03/25.84    (69)   ~ (all_52_1 = all_4_2)
% 170.03/25.84    (70)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.03/25.84    (71)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 170.03/25.84    (72)  all_54_9 = all_52_6
% 170.03/25.84    (73)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.03/25.84    (74)   ~ (all_52_13 = all_52_14)
% 170.03/25.84    (75)  op(e2, e3) = all_52_1
% 170.03/25.84    (76)  all_58_18 = all_52_2
% 170.03/25.84    (77)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.03/25.84    (78)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 170.03/25.84    (79)  all_58_16 = all_6_2
% 170.03/25.84    (80)  all_56_13 = all_52_7
% 170.03/25.84    (81)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 170.03/25.84    (82)   ~ (all_52_8 = all_52_9)
% 170.03/25.84    (83)   ~ (all_52_4 = all_6_2)
% 170.03/25.84    (84)  all_56_2 = all_52_1
% 170.03/25.84    (85)   ~ (e3 = e0)
% 170.03/25.84    (86)  all_58_29 = all_52_13
% 170.03/25.84    (87)   ~ (all_52_1 = all_52_2)
% 170.03/25.84    (88)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 170.03/25.84    (89)  all_52_13 = e0
% 170.03/25.84    (90)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 170.03/25.84    (91)   ~ (all_6_2 = e0)
% 170.03/25.84    (92)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 170.03/25.84    (93)   ~ (all_52_6 = all_52_14)
% 170.03/25.84    (94)   ~ (all_52_7 = all_4_2)
% 170.03/25.84    (95)   ~ (all_52_8 = all_10_2)
% 170.03/25.84    (96)  all_56_4 = all_52_8
% 170.03/25.84    (97)   ~ (all_52_1 = all_52_13)
% 170.03/25.84    (98)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 170.03/25.84    (99)  all_58_20 = all_52_4
% 170.03/25.84    (100)  all_54_13 = all_52_7
% 170.03/25.84    (101)  all_54_15 = all_14_2
% 170.03/25.84    (102)   ~ (all_52_7 = all_52_11)
% 170.03/25.84    (103)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 170.03/25.84    (104)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 170.03/25.84    (105)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.03/25.84    (106)   ~ (all_52_8 = all_52_11)
% 170.03/25.84    (107)   ~ (all_52_8 = all_6_2)
% 170.03/25.84    (108)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 170.03/25.84    (109)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 170.03/25.84    (110)  all_56_6 = all_52_2
% 170.03/25.84    (111)   ~ (all_52_1 = all_52_9)
% 170.03/25.84    (112)  all_58_24 = all_52_8
% 170.03/25.84    (113)   ~ (all_52_12 = all_52_14)
% 170.03/25.84    (114)   ~ (all_52_9 = all_52_11)
% 170.03/25.84    (115)  all_58_22 = all_52_6
% 170.03/25.84    (116)   ~ (all_52_4 = all_52_12)
% 170.03/25.84    (117)  all_56_3 = all_4_2
% 170.03/25.84    (118)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 170.03/25.84    (119)  all_54_0 = all_6_2
% 170.03/25.84    (120)   ~ (all_52_14 = all_10_2)
% 170.03/25.84    (121)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 170.03/25.84    (122)   ~ (all_52_2 = all_52_3)
% 170.03/25.84    (123)   ~ (all_52_4 = all_52_8)
% 170.03/25.84    (124)   ~ (all_52_14 = all_14_2)
% 170.03/25.84    (125)  all_58_25 = all_52_9
% 170.03/25.84    (126)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 170.03/25.84    (127)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.03/25.84             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.03/25.84    (128)   ~ (all_6_1 = e0)
% 170.03/25.84    (129)   ~ (all_52_2 = all_52_14)
% 170.03/25.84    (130)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 170.03/25.84    (131)  all_58_21 = all_4_2
% 170.03/25.84    (132)  all_56_10 = all_52_13
% 170.03/25.84    (133)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 170.03/25.84    (134)   ~ (e2 = e0)
% 170.03/25.84    (135)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 170.03/25.84    (136)  all_58_28 = all_52_12
% 170.03/25.84    (137)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 170.03/25.84    (138)   ~ (e1 = e0)
% 170.03/25.84    (139)  all_54_4 = all_52_1
% 170.03/25.84    (140)  all_56_7 = all_52_6
% 170.03/25.84    (141)  all_54_5 = all_4_2
% 170.03/25.84    (142)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 170.03/25.84    (143)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 170.03/25.84    (144)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.03/25.84           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.03/25.84           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.03/25.84           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.03/25.84           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.03/25.84           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.03/25.84           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.03/25.84           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.03/25.84           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.03/25.84           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.03/25.84             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.03/25.84             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.03/25.84             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.03/25.84             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.03/25.84             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.03/25.84             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.03/25.84             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.03/25.84             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.03/25.84             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.03/25.84             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.03/25.84             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.03/25.84             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.03/25.84             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.03/25.84             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.03/25.84             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.03/25.84             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.03/25.84           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.03/25.84           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.03/25.84           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.03/25.84             all_58_30 = e0 & e1 = e0)
% 170.03/25.84    (145)   ~ (all_52_2 = all_10_2)
% 170.03/25.84    (146)  op(e1, e2) = all_52_6
% 170.03/25.84    (147)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 170.03/25.84    (148)   ~ (all_52_12 = all_52_13)
% 170.03/25.84  
% 170.03/25.84  Begin of proof
% 170.03/25.84  | 
% 170.03/25.84  | REDUCE: (89), (97) imply:
% 170.03/25.84  |   (149)   ~ (all_52_1 = e0)
% 170.03/25.84  | 
% 170.03/25.84  | BETA: splitting (12) gives:
% 170.03/25.84  | 
% 170.03/25.84  | Case 1:
% 170.03/25.84  | | 
% 170.03/25.84  | |   (150)  all_56_2 = e0
% 170.03/25.84  | | 
% 170.03/25.84  | | COMBINE_EQS: (84), (150) imply:
% 170.03/25.84  | |   (151)  all_52_1 = e0
% 170.03/25.84  | | 
% 170.03/25.84  | | REDUCE: (149), (151) imply:
% 170.03/25.84  | |   (152)  $false
% 170.03/25.84  | | 
% 170.03/25.84  | | CLOSE: (152) is inconsistent.
% 170.03/25.84  | | 
% 170.03/25.84  | Case 2:
% 170.03/25.84  | | 
% 170.03/25.84  | |   (153)   ~ (all_56_2 = e0)
% 170.03/25.84  | |   (154)  all_56_6 = e0 | all_56_12 = e0
% 170.03/25.84  | | 
% 170.03/25.84  | | BETA: splitting (154) gives:
% 170.03/25.84  | | 
% 170.03/25.84  | | Case 1:
% 170.03/25.84  | | | 
% 170.03/25.84  | | |   (155)  all_56_6 = e0
% 170.03/25.84  | | | 
% 170.03/25.84  | | | COMBINE_EQS: (110), (155) imply:
% 170.03/25.84  | | |   (156)  all_52_2 = e0
% 170.03/25.84  | | | 
% 170.03/25.84  | | | REDUCE: (64), (156) imply:
% 170.03/25.84  | | |   (157)  $false
% 170.03/25.84  | | | 
% 170.03/25.84  | | | CLOSE: (157) is inconsistent.
% 170.03/25.84  | | | 
% 170.03/25.84  | | Case 2:
% 170.03/25.84  | | | 
% 170.03/25.84  | | |   (158)  all_56_12 = e0
% 170.03/25.84  | | | 
% 170.03/25.84  | | | COMBINE_EQS: (6), (158) imply:
% 170.03/25.84  | | |   (159)  all_52_3 = e0
% 170.03/25.84  | | | 
% 170.03/25.84  | | | COMBINE_EQS: (54), (159) imply:
% 170.03/25.84  | | |   (160)  all_58_19 = e0
% 170.03/25.84  | | | 
% 170.03/25.84  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13),
% 170.03/25.84  | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 170.03/25.84  | | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33),
% 170.03/25.84  | | |            (34), (35), (36), (37), (38), (39), (40), (41), (42), (43),
% 170.03/25.84  | | |            (44), (45), (46), (47), (48), (49), (50), (51), (52), (53),
% 170.03/25.84  | | |            (54), (55), (56), (57), (58), (59), (60), (61), (62), (63),
% 170.03/25.84  | | |            (64), (65), (66), (67), (68), (69), (70), (71), (72), (73),
% 170.03/25.84  | | |            (74), (75), (76), (77), (78), (79), (80), (81), (82), (83),
% 170.03/25.84  | | |            (84), (85), (86), (87), (88), (90), (91), (92), (93), (94),
% 170.03/25.84  | | |            (95), (96), (97), (98), (99), (100), (101), (102), (103),
% 170.03/25.84  | | |            (104), (105), (106), (107), (108), (109), (110), (111), (112),
% 170.03/25.84  | | |            (113), (114), (115), (116), (117), (118), (119), (120), (121),
% 170.03/25.84  | | |            (122), (123), (124), (125), (126), (127), (128), (129), (130),
% 170.03/25.84  | | |            (131), (132), (133), (134), (135), (136), (137), (138), (139),
% 170.03/25.84  | | |            (140), (141), (142), (143), (144), (145), (146), (147), (148),
% 170.03/25.84  | | |            (149), (158), (160) are inconsistent by sub-proof #77.
% 170.03/25.84  | | | 
% 170.03/25.84  | | End of split
% 170.03/25.84  | | 
% 170.03/25.84  | End of split
% 170.03/25.84  | 
% 170.03/25.84  End of proof
% 170.03/25.84  
% 170.03/25.84  Sub-proof #61 shows that the following formulas are inconsistent:
% 170.03/25.84  ----------------------------------------------------------------
% 170.03/25.84    (1)  all_56_1 = all_52_4
% 170.03/25.84    (2)  op(all_4_2, e2) = e0
% 170.03/25.84    (3)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 170.03/25.84    (4)  all_56_12 = all_52_3
% 170.03/25.84    (5)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 170.03/25.84    (6)   ~ (e3 = e1)
% 170.03/25.84    (7)  all_58_23 = all_52_7
% 170.03/25.84    (8)   ~ (all_52_4 = all_4_2)
% 170.03/25.84    (9)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.03/25.84    (10)  all_56_5 = all_52_9
% 170.03/25.84    (11)   ~ (all_52_3 = all_52_11)
% 170.03/25.84    (12)   ~ (all_52_12 = all_6_2)
% 170.03/25.84    (13)   ~ (all_52_6 = all_4_2)
% 170.03/25.84    (14)  all_56_15 = all_14_2
% 170.03/25.84    (15)   ~ (all_52_11 = all_14_2)
% 170.03/25.84    (16)  op(e0, e2) = all_52_7
% 170.03/25.84    (17)   ~ (all_52_9 = all_4_2)
% 170.03/25.84    (18)   ~ (all_52_3 = all_52_7)
% 170.03/25.84    (19)  all_54_6 = all_52_9
% 170.03/25.84    (20)  all_56_14 = all_52_11
% 170.03/25.84    (21)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 170.03/25.84    (22)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.03/25.84    (23)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.03/25.84    (24)  all_58_26 = all_10_2
% 170.03/25.84    (25)   ~ (all_52_4 = all_52_6)
% 170.03/25.84    (26)  all_58_31 = all_14_2
% 170.03/25.84    (27)   ~ (all_52_3 = all_6_2)
% 170.03/25.84    (28)  all_58_18 = e0
% 170.03/25.84    (29)   ~ (all_52_1 = all_6_2)
% 170.03/25.84    (30)  all_56_11 = all_52_14
% 170.03/25.84    (31)   ~ (all_52_6 = all_52_7)
% 170.03/25.84    (32)  all_56_0 = all_6_2
% 170.03/25.84    (33)  all_58_30 = all_52_14
% 170.03/25.84    (34)  all_58_27 = all_52_11
% 170.03/25.84    (35)  all_58_17 = all_52_1
% 170.03/25.84    (36)  op(e2, all_4_2) = all_58_5
% 170.03/25.84    (37)  all_58_19 = all_52_3
% 170.03/25.84    (38)  all_56_9 = all_52_12
% 170.03/25.84    (39)  op(e2, e2) = all_4_2
% 170.03/25.84    (40)   ~ (e3 = e2)
% 170.03/25.84    (41)   ~ (all_52_4 = all_52_7)
% 170.03/25.84    (42)   ~ (all_52_6 = all_10_2)
% 170.03/25.84    (43)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 170.03/25.84    (44)   ~ (all_52_1 = all_4_2)
% 170.03/25.84    (45)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.03/25.84    (46)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.03/25.84    (47)   ~ (all_52_13 = all_52_14)
% 170.03/25.84    (48)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.03/25.84    (49)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 170.03/25.84    (50)  all_58_16 = all_6_2
% 170.03/25.84    (51)  all_56_13 = all_52_7
% 170.03/25.84    (52)   ~ (all_52_4 = all_6_2)
% 170.03/25.84    (53)  all_56_2 = all_52_1
% 170.03/25.84    (54)   ~ (e3 = e0)
% 170.03/25.84    (55)  all_58_29 = all_52_13
% 170.03/25.84    (56)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 170.03/25.84    (57)   ~ (all_6_2 = e0)
% 170.03/25.84    (58)   ~ (all_52_6 = all_52_14)
% 170.03/25.84    (59)   ~ (all_52_7 = all_4_2)
% 170.03/25.84    (60)  all_56_4 = all_52_8
% 170.03/25.84    (61)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.03/25.84    (62)  all_58_20 = all_52_4
% 170.03/25.84    (63)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.03/25.84    (64)   ~ (all_52_8 = all_52_11)
% 170.03/25.84    (65)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 170.03/25.84    (66)   ~ (all_52_1 = all_52_9)
% 170.03/25.84    (67)  all_56_6 = e0
% 170.03/25.84    (68)   ~ (all_52_7 = e0)
% 170.03/25.84    (69)   ~ (all_52_12 = all_52_14)
% 170.03/25.84    (70)   ~ (all_52_9 = all_52_11)
% 170.03/25.84    (71)  all_58_22 = all_52_6
% 170.03/25.84    (72)   ~ (all_52_4 = all_52_12)
% 170.03/25.84    (73)  all_56_3 = all_4_2
% 170.03/25.84    (74)  all_54_0 = all_6_2
% 170.03/25.84    (75)   ~ (all_52_1 = e0)
% 170.03/25.84    (76)   ~ (all_52_4 = all_52_8)
% 170.03/25.84    (77)   ~ (all_52_14 = all_14_2)
% 170.03/25.84    (78)  all_58_25 = all_52_9
% 170.03/25.84    (79)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.03/25.84            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.03/25.84    (80)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 170.03/25.84    (81)  all_58_21 = all_4_2
% 170.03/25.84    (82)  all_56_10 = all_52_13
% 170.03/25.84    (83)   ~ (all_52_3 = e0)
% 170.03/25.84    (84)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 170.03/25.84    (85)   ~ (e2 = e0)
% 170.03/25.84    (86)   ~ (all_52_14 = e0)
% 170.03/25.84    (87)  all_58_28 = all_52_12
% 170.03/25.84    (88)   ~ (e1 = e0)
% 170.03/25.84    (89)  all_56_7 = all_52_6
% 170.03/25.84    (90)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 170.03/25.84    (91)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.03/25.84          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.03/25.84          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.03/25.84          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.03/25.84          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.03/25.84          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.03/25.84          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.03/25.84          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.03/25.84          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.03/25.84          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.03/25.84            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.03/25.84            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.03/25.84            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.03/25.84            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.03/25.84            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.03/25.84            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.03/25.84            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.03/25.84            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.03/25.84            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.03/25.84            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.03/25.84            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.03/25.84            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.03/25.84            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.03/25.84            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.03/25.84            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.03/25.84            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.03/25.84          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.03/25.84          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.03/25.84          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.03/25.84            all_58_30 = e0 & e1 = e0)
% 170.03/25.84    (92)   ~ (all_52_12 = all_52_13)
% 170.03/25.84  
% 170.03/25.84  Begin of proof
% 170.03/25.84  | 
% 170.03/25.84  | BETA: splitting (3) gives:
% 170.03/25.84  | 
% 170.03/25.84  | Case 1:
% 170.03/25.84  | | 
% 170.03/25.84  | |   (93)  all_56_12 = e0
% 170.03/25.84  | | 
% 170.03/25.84  | | COMBINE_EQS: (4), (93) imply:
% 170.03/25.84  | |   (94)  all_52_3 = e0
% 170.03/25.84  | | 
% 170.03/25.84  | | REDUCE: (83), (94) imply:
% 170.03/25.84  | |   (95)  $false
% 170.03/25.84  | | 
% 170.03/25.84  | | CLOSE: (95) is inconsistent.
% 170.03/25.84  | | 
% 170.03/25.84  | Case 2:
% 170.03/25.84  | | 
% 170.03/25.84  | |   (96)  all_56_13 = e0 | all_56_14 = e0
% 170.03/25.84  | | 
% 170.03/25.84  | | BETA: splitting (96) gives:
% 170.03/25.84  | | 
% 170.03/25.84  | | Case 1:
% 170.03/25.84  | | | 
% 170.03/25.84  | | |   (97)  all_56_13 = e0
% 170.03/25.84  | | | 
% 170.03/25.84  | | | REF_CLOSE: (51), (68), (97) are inconsistent by sub-proof #942.
% 170.03/25.84  | | | 
% 170.03/25.84  | | Case 2:
% 170.03/25.84  | | | 
% 170.03/25.84  | | |   (98)  all_56_14 = e0
% 170.03/25.84  | | | 
% 170.03/25.84  | | | COMBINE_EQS: (20), (98) imply:
% 170.03/25.84  | | |   (99)  all_52_11 = e0
% 170.03/25.84  | | | 
% 170.03/25.84  | | | SIMP: (99) implies:
% 170.03/25.84  | | |   (100)  all_52_11 = e0
% 170.03/25.84  | | | 
% 170.03/25.84  | | | COMBINE_EQS: (34), (100) imply:
% 170.03/25.84  | | |   (101)  all_58_27 = e0
% 170.03/25.84  | | | 
% 170.03/25.84  | | | REDUCE: (64), (100) imply:
% 170.03/25.84  | | |   (102)   ~ (all_52_8 = e0)
% 170.03/25.84  | | | 
% 170.03/25.84  | | | REDUCE: (70), (100) imply:
% 170.03/25.84  | | |   (103)   ~ (all_52_9 = e0)
% 170.03/25.84  | | | 
% 170.03/25.84  | | | REDUCE: (15), (100) imply:
% 170.03/25.84  | | |   (104)   ~ (all_14_2 = e0)
% 170.03/25.84  | | | 
% 170.03/25.84  | | | SIMP: (104) implies:
% 170.03/25.84  | | |   (105)   ~ (all_14_2 = e0)
% 170.03/25.84  | | | 
% 170.03/25.84  | | | BETA: splitting (65) gives:
% 170.03/25.84  | | | 
% 170.03/25.84  | | | Case 1:
% 170.03/25.84  | | | | 
% 170.03/25.84  | | | |   (106)  all_56_0 = e0
% 170.03/25.84  | | | | 
% 170.03/25.84  | | | | COMBINE_EQS: (32), (106) imply:
% 170.03/25.84  | | | |   (107)  all_6_2 = e0
% 170.03/25.84  | | | | 
% 170.03/25.84  | | | | REDUCE: (57), (107) imply:
% 170.03/25.84  | | | |   (108)  $false
% 170.03/25.84  | | | | 
% 170.03/25.84  | | | | CLOSE: (108) is inconsistent.
% 170.03/25.84  | | | | 
% 170.03/25.84  | | | Case 2:
% 170.03/25.84  | | | | 
% 170.03/25.84  | | | |   (109)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 170.03/25.84  | | | | 
% 170.03/25.84  | | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (12), (13),
% 170.03/25.84  | | | |            (14), (16), (17), (18), (19), (21), (22), (23), (24), (25),
% 170.03/25.84  | | | |            (26), (27), (28), (29), (30), (31), (32), (33), (35), (36),
% 170.03/25.84  | | | |            (37), (38), (39), (40), (41), (42), (43), (44), (45), (46),
% 170.03/25.84  | | | |            (47), (48), (49), (50), (51), (52), (53), (54), (55), (56),
% 170.03/25.84  | | | |            (58), (59), (60), (61), (62), (63), (66), (67), (69), (71),
% 170.03/25.84  | | | |            (72), (73), (74), (75), (76), (77), (78), (79), (80), (81),
% 170.03/25.84  | | | |            (82), (83), (84), (85), (86), (87), (88), (89), (90), (91),
% 170.03/25.84  | | | |            (92), (101), (102), (103), (105), (109) are inconsistent by
% 170.03/25.84  | | | |            sub-proof #91.
% 170.03/25.84  | | | | 
% 170.03/25.84  | | | End of split
% 170.03/25.84  | | | 
% 170.03/25.84  | | End of split
% 170.03/25.84  | | 
% 170.03/25.84  | End of split
% 170.03/25.84  | 
% 170.03/25.84  End of proof
% 170.03/25.84  
% 170.03/25.84  Sub-proof #62 shows that the following formulas are inconsistent:
% 170.03/25.85  ----------------------------------------------------------------
% 170.03/25.85    (1)   ~ (all_52_12 = all_14_2)
% 170.03/25.85    (2)  all_56_1 = all_52_4
% 170.03/25.85    (3)   ~ (all_10_2 = e0)
% 170.03/25.85    (4)   ~ (all_52_8 = all_52_12)
% 170.03/25.85    (5)   ~ (e3 = e1)
% 170.03/25.85    (6)   ~ (all_52_4 = all_4_2)
% 170.03/25.85    (7)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.03/25.85    (8)  all_56_5 = all_52_9
% 170.03/25.85    (9)   ~ (all_52_12 = all_6_2)
% 170.03/25.85    (10)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 170.03/25.85    (11)   ~ (all_52_6 = all_4_2)
% 170.03/25.85    (12)  op(e1, e0) = all_52_14
% 170.03/25.85    (13)  all_56_15 = all_14_2
% 170.03/25.85    (14)  all_54_1 = all_52_4
% 170.03/25.85    (15)   ~ (all_52_9 = all_4_2)
% 170.03/25.85    (16)  all_56_14 = all_52_11
% 170.03/25.85    (17)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 170.03/25.85    (18)  all_56_8 = all_10_2
% 170.03/25.85    (19)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.03/25.85    (20)  all_58_26 = all_10_2
% 170.03/25.85    (21)   ~ (all_52_4 = all_52_6)
% 170.03/25.85    (22)  all_58_31 = all_14_2
% 170.03/25.85    (23)   ~ (all_52_9 = all_52_13)
% 170.03/25.85    (24)   ~ (all_52_3 = all_6_2)
% 170.03/25.85    (25)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 170.03/25.85    (26)  all_58_18 = e0
% 170.03/25.85    (27)   ~ (all_52_1 = all_6_2)
% 170.03/25.85    (28)  all_54_2 = all_52_8
% 170.03/25.85    (29)  all_56_11 = all_52_14
% 170.03/25.85    (30)  all_56_0 = all_6_2
% 170.03/25.85    (31)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 170.03/25.85    (32)  all_58_30 = all_52_14
% 170.03/25.85    (33)  all_58_27 = all_52_11
% 170.03/25.85    (34)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 170.03/25.85    (35)  all_58_17 = all_52_1
% 170.03/25.85    (36)  all_58_19 = all_52_3
% 170.03/25.85    (37)  all_56_9 = all_52_12
% 170.03/25.85    (38)  op(all_14_2, e0) = e1
% 170.03/25.85    (39)   ~ (e3 = e2)
% 170.03/25.85    (40)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 170.03/25.85    (41)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 170.03/25.85    (42)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 170.03/25.85    (43)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 170.03/25.85    (44)   ~ (all_52_13 = all_14_2)
% 170.03/25.85    (45)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.03/25.85    (46)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 170.03/25.85    (47)  all_54_9 = all_52_6
% 170.03/25.85    (48)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.03/25.85    (49)   ~ (all_52_13 = all_52_14)
% 170.03/25.85    (50)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.03/25.85    (51)  all_58_16 = all_6_2
% 170.03/25.85    (52)   ~ (all_52_8 = all_52_9)
% 170.03/25.85    (53)   ~ (all_52_4 = all_6_2)
% 170.03/25.85    (54)   ~ (e3 = e0)
% 170.03/25.85    (55)  all_58_29 = all_52_13
% 170.03/25.85    (56)   ~ (all_52_6 = all_52_14)
% 170.03/25.85    (57)   ~ (all_52_8 = all_10_2)
% 170.03/25.85    (58)  all_56_4 = all_52_8
% 170.03/25.85    (59)   ~ (all_52_1 = all_52_13)
% 170.03/25.85    (60)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 170.03/25.85    (61)  all_54_15 = all_14_2
% 170.03/25.85    (62)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 170.03/25.85    (63)   ~ (all_52_8 = all_6_2)
% 170.03/25.85    (64)   ~ (all_52_1 = all_52_9)
% 170.03/25.85    (65)  all_56_6 = e0
% 170.03/25.85    (66)  all_56_13 = e0
% 170.03/25.85    (67)  all_58_24 = all_52_8
% 170.03/25.85    (68)   ~ (all_52_12 = all_52_14)
% 170.03/25.85    (69)   ~ (all_52_9 = all_52_11)
% 170.03/25.85    (70)  all_58_22 = all_52_6
% 170.03/25.85    (71)   ~ (all_52_4 = all_52_12)
% 170.03/25.85    (72)  all_56_3 = all_4_2
% 170.03/25.85    (73)  all_54_0 = all_6_2
% 170.03/25.85    (74)   ~ (all_52_14 = all_10_2)
% 170.03/25.85    (75)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 170.03/25.85    (76)   ~ (all_52_11 = e0)
% 170.03/25.85    (77)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 170.03/25.85    (78)   ~ (all_52_4 = all_52_8)
% 170.03/25.85    (79)   ~ (all_52_14 = all_14_2)
% 170.03/25.85    (80)  all_58_25 = all_52_9
% 170.03/25.85    (81)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 170.03/25.85    (82)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.03/25.85            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.03/25.85    (83)   ~ (all_52_6 = e0)
% 170.03/25.85    (84)  all_54_12 = all_52_3
% 170.03/25.85    (85)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 170.03/25.85    (86)  all_58_21 = all_4_2
% 170.03/25.85    (87)  all_56_10 = all_52_13
% 170.03/25.85    (88)   ~ (all_52_3 = e0)
% 170.03/25.85    (89)   ~ (e2 = e0)
% 170.03/25.85    (90)   ~ (all_52_1 = all_52_3)
% 170.03/25.85    (91)   ~ (all_52_14 = e0)
% 170.03/25.85    (92)  all_58_28 = all_52_12
% 170.03/25.85    (93)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 170.03/25.85    (94)   ~ (e1 = e0)
% 170.03/25.85    (95)  all_56_7 = all_52_6
% 170.03/25.85    (96)  all_54_5 = all_4_2
% 170.03/25.85    (97)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.03/25.85          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.03/25.85          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.03/25.85          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.03/25.85          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.03/25.85          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.03/25.85          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.03/25.85          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.03/25.85          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.03/25.85          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.03/25.85            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.03/25.85            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.03/25.85            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.03/25.85            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.03/25.85            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.03/25.85            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.03/25.85            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.03/25.85            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.03/25.85            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.03/25.85            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.03/25.85            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.03/25.85            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.03/25.85            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.03/25.85            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.03/25.85            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.03/25.85            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.03/25.85          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.03/25.85          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.03/25.85          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.03/25.85            all_58_30 = e0 & e1 = e0)
% 170.03/25.85    (98)  all_54_7 = all_52_13
% 170.03/25.85    (99)  all_58_23 = e0
% 170.03/25.85    (100)  all_54_11 = all_52_14
% 170.03/25.85    (101)   ~ (all_52_12 = all_52_13)
% 170.03/25.85  
% 170.03/25.85  Begin of proof
% 170.03/25.85  | 
% 170.03/25.85  | BETA: splitting (77) gives:
% 170.03/25.85  | 
% 170.03/25.85  | Case 1:
% 170.03/25.85  | | 
% 170.03/25.85  | |   (102)  all_56_5 = e0
% 170.03/25.85  | | 
% 170.03/25.85  | | COMBINE_EQS: (8), (102) imply:
% 170.03/25.85  | |   (103)  all_52_9 = e0
% 170.03/25.85  | | 
% 170.03/25.85  | | COMBINE_EQS: (80), (103) imply:
% 170.03/25.85  | |   (104)  all_58_25 = e0
% 170.03/25.85  | | 
% 170.03/25.85  | | REDUCE: (64), (103) imply:
% 170.03/25.85  | |   (105)   ~ (all_52_1 = e0)
% 170.03/25.85  | | 
% 170.03/25.85  | | REDUCE: (69), (103) imply:
% 170.03/25.85  | |   (106)   ~ (all_52_11 = e0)
% 170.03/25.85  | | 
% 170.03/25.85  | | REDUCE: (23), (103) imply:
% 170.03/25.85  | |   (107)   ~ (all_52_13 = e0)
% 170.03/25.85  | | 
% 170.03/25.85  | | SIMP: (107) implies:
% 170.03/25.85  | |   (108)   ~ (all_52_13 = e0)
% 170.03/25.85  | | 
% 170.03/25.85  | | REDUCE: (15), (103) imply:
% 170.03/25.85  | |   (109)   ~ (all_4_2 = e0)
% 170.03/25.85  | | 
% 170.03/25.85  | | SIMP: (109) implies:
% 170.03/25.85  | |   (110)   ~ (all_4_2 = e0)
% 170.03/25.85  | | 
% 170.03/25.85  | | BETA: splitting (85) gives:
% 170.03/25.85  | | 
% 170.03/25.85  | | Case 1:
% 170.03/25.85  | | | 
% 170.03/25.85  | | |   (111)  all_56_9 = e0
% 170.03/25.85  | | | 
% 170.03/25.85  | | | COMBINE_EQS: (37), (111) imply:
% 170.03/25.85  | | |   (112)  all_52_12 = e0
% 170.03/25.85  | | | 
% 170.03/25.85  | | | COMBINE_EQS: (92), (112) imply:
% 170.03/25.85  | | |   (113)  all_58_28 = e0
% 170.03/25.85  | | | 
% 170.03/25.85  | | | REDUCE: (71), (112) imply:
% 170.03/25.85  | | |   (114)   ~ (all_52_4 = e0)
% 170.03/25.85  | | | 
% 170.03/25.85  | | | REDUCE: (4), (112) imply:
% 170.03/25.85  | | |   (115)   ~ (all_52_8 = e0)
% 170.03/25.85  | | | 
% 170.03/25.85  | | | REDUCE: (68), (112) imply:
% 170.03/25.85  | | |   (116)   ~ (all_52_14 = e0)
% 170.03/25.85  | | | 
% 170.03/25.85  | | | REDUCE: (1), (112) imply:
% 170.03/25.85  | | |   (117)   ~ (all_14_2 = e0)
% 170.03/25.85  | | | 
% 170.03/25.85  | | | SIMP: (117) implies:
% 170.03/25.85  | | |   (118)   ~ (all_14_2 = e0)
% 170.03/25.85  | | | 
% 170.03/25.85  | | | REDUCE: (9), (112) imply:
% 170.03/25.85  | | |   (119)   ~ (all_6_2 = e0)
% 170.03/25.85  | | | 
% 170.03/25.85  | | | SIMP: (119) implies:
% 170.03/25.85  | | |   (120)   ~ (all_6_2 = e0)
% 170.03/25.85  | | | 
% 170.03/25.85  | | | BETA: splitting (10) gives:
% 170.03/25.85  | | | 
% 170.03/25.85  | | | Case 1:
% 170.03/25.85  | | | | 
% 170.03/25.85  | | | |   (121)  all_54_5 = e0
% 170.03/25.85  | | | | 
% 170.03/25.85  | | | | REF_CLOSE: (96), (110), (121) are inconsistent by sub-proof #983.
% 170.03/25.85  | | | | 
% 170.03/25.85  | | | Case 2:
% 170.03/25.85  | | | | 
% 170.03/25.85  | | | |   (122)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 170.03/25.85  | | | | 
% 170.03/25.85  | | | | REF_CLOSE: (2), (5), (6), (7), (11), (12), (13), (14), (17), (19), (20),
% 170.03/25.85  | | | |            (21), (22), (24), (25), (26), (27), (28), (29), (30), (31),
% 170.03/25.85  | | | |            (32), (33), (34), (35), (36), (38), (39), (40), (41), (42),
% 170.03/25.85  | | | |            (43), (44), (45), (46), (47), (48), (49), (50), (51), (52),
% 170.03/25.85  | | | |            (53), (54), (55), (56), (57), (58), (59), (60), (61), (62),
% 170.03/25.85  | | | |            (63), (65), (66), (67), (70), (72), (73), (74), (75), (76),
% 170.03/25.85  | | | |            (78), (79), (80), (81), (82), (83), (84), (86), (87), (88),
% 170.03/25.85  | | | |            (89), (90), (91), (93), (94), (95), (96), (97), (98), (99),
% 170.03/25.85  | | | |            (100), (104), (105), (108), (110), (111), (113), (114),
% 170.03/25.85  | | | |            (115), (118), (120), (122) are inconsistent by sub-proof
% 170.03/25.85  | | | |            #415.
% 170.03/25.85  | | | | 
% 170.03/25.85  | | | End of split
% 170.03/25.85  | | | 
% 170.03/25.85  | | Case 2:
% 170.03/25.85  | | | 
% 170.03/25.85  | | |   (123)  all_56_10 = e0 | all_56_11 = e0
% 170.03/25.85  | | | 
% 170.03/25.85  | | | REF_CLOSE: (29), (87), (91), (108), (123) are inconsistent by sub-proof
% 170.03/25.85  | | |            #414.
% 170.03/25.85  | | | 
% 170.03/25.85  | | End of split
% 170.03/25.85  | | 
% 170.03/25.85  | Case 2:
% 170.03/25.85  | | 
% 170.03/25.85  | |   (124)  all_56_8 = e0 | all_56_14 = e0
% 170.03/25.85  | | 
% 170.03/25.85  | | REF_CLOSE: (3), (16), (18), (76), (124) are inconsistent by sub-proof #914.
% 170.03/25.85  | | 
% 170.03/25.85  | End of split
% 170.03/25.85  | 
% 170.03/25.85  End of proof
% 170.03/25.85  
% 170.03/25.85  Sub-proof #63 shows that the following formulas are inconsistent:
% 170.03/25.85  ----------------------------------------------------------------
% 170.03/25.85    (1)   ~ (all_52_12 = all_14_2)
% 170.03/25.85    (2)  op(e0, e0) = all_14_2
% 170.03/25.85    (3)  all_56_1 = all_52_4
% 170.03/25.85    (4)  op(all_4_2, e2) = e0
% 170.03/25.85    (5)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 170.03/25.85    (6)  all_56_12 = all_52_3
% 170.03/25.85    (7)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 170.03/25.85    (8)  op(e1, all_52_14) = all_58_11
% 170.03/25.85    (9)   ~ (all_10_2 = e0)
% 170.03/25.85    (10)   ~ (all_52_8 = all_52_12)
% 170.03/25.85    (11)   ~ (e3 = e1)
% 170.03/25.85    (12)  all_58_23 = all_52_7
% 170.03/25.85    (13)   ~ (all_14_1 = e1)
% 170.03/25.85    (14)   ~ (all_52_2 = all_6_2)
% 170.03/25.85    (15)   ~ (all_52_3 = all_14_2)
% 170.03/25.85    (16)   ~ (all_52_4 = all_4_2)
% 170.03/25.85    (17)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.03/25.85    (18)  all_54_3 = all_52_12
% 170.03/25.85    (19)  all_56_5 = all_52_9
% 170.03/25.85    (20)   ~ (all_52_3 = all_52_11)
% 170.03/25.85    (21)  op(all_6_2, e3) = all_6_1
% 170.03/25.85    (22)   ~ (all_52_12 = all_6_2)
% 170.03/25.85    (23)  op(e2, e0) = all_52_13
% 170.03/25.85    (24)   ~ (all_14_2 = e1)
% 170.03/25.85    (25)  op(e3, all_6_2) = all_58_0
% 170.03/25.85    (26)  op(e1, e0) = all_52_14
% 170.03/25.85    (27)  all_56_15 = all_14_2
% 170.03/25.85    (28)   ~ (all_52_11 = all_14_2)
% 170.03/25.85    (29)  op(e0, e2) = all_52_7
% 170.03/25.85    (30)  op(e3, all_52_4) = all_58_1
% 170.03/25.85    (31)  all_54_1 = all_52_4
% 170.03/25.85    (32)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 170.03/25.85    (33)  op(e1, all_10_2) = all_58_10
% 170.03/25.85    (34)   ~ (all_52_9 = all_4_2)
% 170.03/25.85    (35)   ~ (all_52_3 = all_52_7)
% 170.03/25.85    (36)  op(e1, e1) = all_10_2
% 170.03/25.85    (37)  all_54_6 = all_52_9
% 170.03/25.85    (38)  all_56_14 = all_52_11
% 170.03/25.85    (39)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 170.03/25.85    (40)   ~ (all_52_13 = all_4_2)
% 170.03/25.85    (41)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.03/25.85    (42)  op(e0, all_52_3) = all_58_12
% 170.03/25.85    (43)  all_56_8 = all_10_2
% 170.03/25.85    (44)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.03/25.85    (45)  all_58_26 = all_10_2
% 170.03/25.85    (46)   ~ (all_52_4 = all_52_6)
% 170.03/25.85    (47)  all_58_31 = all_14_2
% 170.03/25.85    (48)   ~ (all_52_11 = all_10_2)
% 170.03/25.85    (49)   ~ (all_52_9 = all_52_13)
% 170.03/25.85    (50)   ~ (all_52_3 = all_6_2)
% 170.03/25.85    (51)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 170.03/25.85    (52)   ~ (all_52_1 = all_6_2)
% 170.03/25.85    (53)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 170.03/25.85    (54)  all_54_2 = all_52_8
% 170.03/25.85    (55)  all_56_11 = all_52_14
% 170.03/25.85    (56)   ~ (all_52_6 = all_52_7)
% 170.03/25.85    (57)  all_56_0 = all_6_2
% 170.03/25.85    (58)   ~ (all_52_9 = all_10_2)
% 170.03/25.85    (59)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 170.03/25.85    (60)  all_58_30 = all_52_14
% 170.03/25.85    (61)  all_58_27 = all_52_11
% 170.03/25.85    (62)  all_54_14 = all_52_11
% 170.03/25.85    (63)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 170.03/25.85    (64)  all_58_17 = all_52_1
% 170.03/25.85    (65)  op(e3, e1) = all_52_8
% 170.03/25.85    (66)  op(e2, all_4_2) = all_58_5
% 170.03/25.85    (67)  all_58_19 = all_52_3
% 170.03/25.85    (68)  all_56_9 = all_52_12
% 170.03/25.85    (69)   ~ (all_52_2 = all_52_6)
% 170.03/25.85    (70)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 170.03/25.85    (71)  op(e2, e2) = all_4_2
% 170.03/25.85    (72)   ~ (e3 = e2)
% 170.03/25.85    (73)  op(e3, all_52_8) = all_58_2
% 170.03/25.85    (74)   ~ (all_52_4 = all_52_7)
% 170.03/25.85    (75)   ~ (e2 = e1)
% 170.03/25.85    (76)   ~ (all_52_6 = all_10_2)
% 170.03/25.85    (77)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 170.03/25.85    (78)   ~ (all_52_7 = all_14_2)
% 170.03/25.85    (79)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 170.03/25.85    (80)   ~ (all_52_13 = all_14_2)
% 170.03/25.85    (81)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.03/25.85    (82)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 170.03/25.85    (83)  all_54_9 = all_52_6
% 170.03/25.85    (84)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.03/25.85    (85)   ~ (all_52_13 = all_52_14)
% 170.03/25.85    (86)  all_58_18 = all_52_2
% 170.03/25.85    (87)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.03/25.85    (88)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 170.03/25.85    (89)  all_58_16 = all_6_2
% 170.03/25.85    (90)  all_56_13 = all_52_7
% 170.03/25.85    (91)  op(e0, e3) = all_52_3
% 170.03/25.85    (92)  op(e0, all_52_7) = all_58_13
% 170.03/25.85    (93)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 170.03/25.85    (94)   ~ (all_52_8 = all_52_9)
% 170.03/25.85    (95)   ~ (all_52_4 = all_6_2)
% 170.03/25.85    (96)  all_56_2 = all_52_1
% 170.03/25.85    (97)   ~ (e3 = e0)
% 170.03/25.85    (98)  op(e3, e0) = all_52_12
% 170.03/25.85    (99)  all_58_29 = all_52_13
% 170.03/25.85    (100)   ~ (all_52_1 = all_52_2)
% 170.03/25.85    (101)   ~ (all_52_13 = e0)
% 170.03/25.85    (102)   ~ (all_52_6 = all_52_14)
% 170.03/25.85    (103)   ~ (all_52_7 = all_4_2)
% 170.03/25.85    (104)   ~ (all_52_8 = all_10_2)
% 170.03/25.85    (105)  all_56_4 = all_52_8
% 170.03/25.85    (106)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.03/25.85    (107)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 170.03/25.85    (108)   ~ (all_52_1 = all_52_13)
% 170.03/25.85    (109)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 170.03/25.85    (110)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 170.03/25.85    (111)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 170.03/25.85    (112)  all_58_20 = all_52_4
% 170.03/25.85    (113)  all_54_10 = all_10_2
% 170.03/25.85    (114)  all_54_15 = all_14_2
% 170.03/25.85    (115)   ~ (all_52_7 = all_52_11)
% 170.03/25.85    (116)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 170.03/25.85    (117)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 170.03/25.85    (118)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.03/25.85    (119)  op(all_10_2, e1) = e0
% 170.03/25.85    (120)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.03/25.85    (121)   ~ (all_52_8 = all_52_11)
% 170.03/25.85    (122)   ~ (all_52_8 = all_6_2)
% 170.03/25.85    (123)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 170.03/25.85    (124)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 170.03/25.85    (125)  all_56_6 = all_52_2
% 170.03/25.85    (126)   ~ (all_52_1 = all_52_9)
% 170.03/25.85    (127)  all_58_24 = all_52_8
% 170.03/25.85    (128)   ~ (all_52_12 = all_52_14)
% 170.03/25.85    (129)   ~ (all_52_9 = all_52_11)
% 170.03/25.85    (130)  all_58_22 = all_52_6
% 170.03/25.85    (131)  op(all_14_2, e0) = all_14_1
% 170.03/25.85    (132)   ~ (all_52_4 = all_52_12)
% 170.03/25.85    (133)  all_56_3 = all_4_2
% 170.03/25.85    (134)  all_54_0 = all_6_2
% 170.03/25.85    (135)   ~ (all_52_14 = all_10_2)
% 170.03/25.85    (136)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 170.03/25.85    (137)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 170.03/25.85    (138)   ~ (all_52_2 = all_52_3)
% 170.03/25.85    (139)   ~ (all_52_4 = all_52_8)
% 170.03/25.85    (140)   ~ (all_52_14 = all_14_2)
% 170.03/25.85    (141)  all_58_25 = all_52_9
% 170.03/25.85    (142)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 170.03/25.85    (143)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.03/25.85             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.03/25.85    (144)  all_54_12 = all_52_3
% 170.03/25.85    (145)   ~ (all_52_2 = all_52_14)
% 170.03/25.85    (146)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 170.03/25.85    (147)  all_58_21 = all_4_2
% 170.03/25.85    (148)  all_56_10 = all_52_13
% 170.03/25.85    (149)   ~ (all_52_3 = e0)
% 170.03/25.85    (150)  op(e2, all_52_9) = all_58_6
% 170.03/25.85    (151)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 170.03/25.85    (152)   ~ (e2 = e0)
% 170.03/25.85    (153)   ~ (all_52_1 = all_52_3)
% 170.03/25.85    (154)  all_58_28 = all_52_12
% 170.03/25.85    (155)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 170.03/25.85    (156)   ~ (e1 = e0)
% 170.03/25.85    (157)  all_54_4 = all_52_1
% 170.03/25.85    (158)  all_56_7 = all_52_6
% 170.03/25.85    (159)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 170.03/25.85             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 170.03/25.85             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 170.03/25.85             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 170.03/25.85             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 170.03/25.85             (all_58_15 = e0))
% 170.03/25.85    (160)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 170.03/25.85    (161)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 170.03/25.85    (162)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.03/25.85           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.03/25.85           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.03/25.85           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.03/25.85           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.03/25.85           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.03/25.85           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.03/25.85           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.03/25.85           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.03/25.85           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.03/25.85             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.03/25.85             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.03/25.85             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.03/25.85             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.03/25.85             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.03/25.85             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.03/25.85             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.03/25.85             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.03/25.85             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.03/25.85             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.03/25.85             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.03/25.85             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.03/25.85             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.03/25.85             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.03/25.85             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.03/25.85             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.03/25.85           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.03/25.85           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.03/25.85           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.03/25.85             all_58_30 = e0 & e1 = e0)
% 170.03/25.85    (163)  all_54_7 = all_52_13
% 170.03/25.85    (164)   ~ (all_52_2 = all_10_2)
% 170.03/25.85    (165)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 170.03/25.85    (166)   ~ (all_52_12 = all_52_13)
% 170.03/25.85  
% 170.03/25.85  Begin of proof
% 170.03/25.85  | 
% 170.03/25.85  | BETA: splitting (39) gives:
% 170.03/25.85  | 
% 170.03/25.85  | Case 1:
% 170.03/25.85  | | 
% 170.03/25.85  | |   (167)  all_54_6 = e0
% 170.03/25.85  | | 
% 170.03/25.85  | | COMBINE_EQS: (37), (167) imply:
% 170.03/25.85  | |   (168)  all_52_9 = e0
% 170.03/25.85  | | 
% 170.03/25.85  | | SIMP: (168) implies:
% 170.03/25.85  | |   (169)  all_52_9 = e0
% 170.03/25.85  | | 
% 170.03/25.85  | | COMBINE_EQS: (141), (169) imply:
% 170.03/25.85  | |   (170)  all_58_25 = e0
% 170.03/25.85  | | 
% 170.03/25.85  | | REDUCE: (94), (169) imply:
% 170.03/25.85  | |   (171)   ~ (all_52_8 = e0)
% 170.03/25.85  | | 
% 170.03/25.85  | | REDUCE: (129), (169) imply:
% 170.03/25.85  | |   (172)   ~ (all_52_11 = e0)
% 170.03/25.85  | | 
% 170.03/25.85  | | SIMP: (172) implies:
% 170.03/25.85  | |   (173)   ~ (all_52_11 = e0)
% 170.03/25.85  | | 
% 170.03/25.85  | | REDUCE: (58), (169) imply:
% 170.03/25.85  | |   (174)   ~ (all_10_2 = e0)
% 170.03/25.85  | | 
% 170.03/25.85  | | REDUCE: (150), (169) imply:
% 170.03/25.85  | |   (175)  op(e2, e0) = all_58_6
% 170.03/25.85  | | 
% 170.03/25.85  | | BETA: splitting (5) gives:
% 170.03/25.85  | | 
% 170.03/25.85  | | Case 1:
% 170.03/25.85  | | | 
% 170.03/25.85  | | |   (176)  all_56_12 = e0
% 170.03/25.85  | | | 
% 170.03/25.85  | | | REF_CLOSE: (6), (149), (176) are inconsistent by sub-proof #919.
% 170.03/25.85  | | | 
% 170.03/25.85  | | Case 2:
% 170.03/25.85  | | | 
% 170.03/25.85  | | |   (177)  all_56_13 = e0 | all_56_14 = e0
% 170.03/25.85  | | | 
% 170.03/25.85  | | | BETA: splitting (177) gives:
% 170.03/25.85  | | | 
% 170.03/25.85  | | | Case 1:
% 170.03/25.85  | | | | 
% 170.03/25.85  | | | |   (178)  all_56_13 = e0
% 170.03/25.85  | | | | 
% 170.03/25.85  | | | | COMBINE_EQS: (90), (178) imply:
% 170.03/25.85  | | | |   (179)  all_52_7 = e0
% 170.03/25.85  | | | | 
% 170.03/25.85  | | | | SIMP: (179) implies:
% 170.03/25.85  | | | |   (180)  all_52_7 = e0
% 170.03/25.85  | | | | 
% 170.03/25.85  | | | | COMBINE_EQS: (12), (180) imply:
% 170.03/25.85  | | | |   (181)  all_58_23 = e0
% 170.03/25.85  | | | | 
% 170.03/25.85  | | | | REDUCE: (74), (180) imply:
% 170.03/25.85  | | | |   (182)   ~ (all_52_4 = e0)
% 170.03/25.85  | | | | 
% 170.03/25.85  | | | | REDUCE: (56), (180) imply:
% 170.03/25.86  | | | |   (183)   ~ (all_52_6 = e0)
% 170.03/25.86  | | | | 
% 170.03/25.86  | | | | REDUCE: (103), (180) imply:
% 170.03/25.86  | | | |   (184)   ~ (all_4_2 = e0)
% 170.03/25.86  | | | | 
% 170.03/25.86  | | | | SIMP: (184) implies:
% 170.03/25.86  | | | |   (185)   ~ (all_4_2 = e0)
% 170.03/25.86  | | | | 
% 170.03/25.86  | | | | REDUCE: (92), (180) imply:
% 170.03/25.86  | | | |   (186)  op(e0, e0) = all_58_13
% 170.03/25.86  | | | | 
% 170.03/25.86  | | | | GROUND_INST: instantiating (143) with all_14_2, all_58_13, e0, e0,
% 170.03/25.86  | | | |              simplifying with (2), (186) gives:
% 170.03/25.86  | | | |   (187)  all_58_13 = all_14_2
% 170.03/25.86  | | | | 
% 170.03/25.86  | | | | GROUND_INST: instantiating (143) with all_52_13, all_58_6, e0, e2,
% 170.03/25.86  | | | |              simplifying with (23), (175) gives:
% 170.03/25.86  | | | |   (188)  all_58_6 = all_52_13
% 170.03/25.86  | | | | 
% 170.03/25.86  | | | | BETA: splitting (116) gives:
% 170.03/25.86  | | | | 
% 170.03/25.86  | | | | Case 1:
% 170.03/25.86  | | | | | 
% 170.03/25.86  | | | | |   (189)  all_56_0 = e0
% 170.03/25.86  | | | | | 
% 170.03/25.86  | | | | | REF_CLOSE: (1), (3), (6), (8), (9), (10), (14), (16), (17), (18),
% 170.03/25.86  | | | | |            (19), (20), (21), (23), (25), (26), (31), (32), (38), (43),
% 170.03/25.86  | | | | |            (44), (45), (46), (47), (48), (49), (50), (51), (52), (53),
% 170.03/25.86  | | | | |            (55), (57), (59), (60), (61), (62), (64), (67), (68), (69),
% 170.03/25.86  | | | | |            (70), (72), (75), (76), (79), (80), (82), (83), (84), (85),
% 170.03/25.86  | | | | |            (86), (87), (89), (91), (95), (96), (97), (98), (99),
% 170.03/25.86  | | | | |            (100), (102), (105), (106), (108), (109), (112), (114),
% 170.03/25.86  | | | | |            (118), (121), (123), (125), (126), (127), (128), (129),
% 170.03/25.86  | | | | |            (130), (132), (133), (136), (140), (141), (142), (143),
% 170.03/25.86  | | | | |            (145), (147), (148), (150), (151), (152), (153), (154),
% 170.03/25.86  | | | | |            (155), (156), (157), (158), (159), (160), (162), (163),
% 170.03/25.86  | | | | |            (164), (165), (166), (181), (183), (185), (187), (189) are
% 170.03/25.86  | | | | |            inconsistent by sub-proof #73.
% 170.03/25.86  | | | | | 
% 170.03/25.86  | | | | Case 2:
% 170.03/25.86  | | | | | 
% 170.03/25.86  | | | | |   (190)   ~ (all_56_0 = e0)
% 170.03/25.86  | | | | | 
% 170.03/25.86  | | | | | REDUCE: (57), (190) imply:
% 170.03/25.86  | | | | |   (191)   ~ (all_6_2 = e0)
% 170.03/25.86  | | | | | 
% 170.03/25.86  | | | | | BETA: splitting (124) gives:
% 170.03/25.86  | | | | | 
% 170.03/25.86  | | | | | Case 1:
% 170.03/25.86  | | | | | | 
% 170.03/25.86  | | | | | |   (192)  all_56_0 = e0
% 170.03/25.86  | | | | | | 
% 170.03/25.86  | | | | | | COMBINE_EQS: (57), (192) imply:
% 170.03/25.86  | | | | | |   (193)  all_6_2 = e0
% 170.03/25.86  | | | | | | 
% 170.03/25.86  | | | | | | REDUCE: (191), (193) imply:
% 170.03/25.86  | | | | | |   (194)  $false
% 170.03/25.86  | | | | | | 
% 170.03/25.86  | | | | | | CLOSE: (194) is inconsistent.
% 170.03/25.86  | | | | | | 
% 170.03/25.86  | | | | | Case 2:
% 170.03/25.86  | | | | | | 
% 170.03/25.86  | | | | | |   (195)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 170.03/25.86  | | | | | | 
% 170.03/25.86  | | | | | | BETA: splitting (195) gives:
% 170.03/25.86  | | | | | | 
% 170.03/25.86  | | | | | | Case 1:
% 170.03/25.86  | | | | | | | 
% 170.03/25.86  | | | | | | |   (196)  all_56_1 = e0
% 170.03/25.86  | | | | | | | 
% 170.03/25.86  | | | | | | | COMBINE_EQS: (3), (196) imply:
% 170.03/25.86  | | | | | | |   (197)  all_52_4 = e0
% 170.03/25.86  | | | | | | | 
% 170.03/25.86  | | | | | | | REDUCE: (182), (197) imply:
% 170.03/25.86  | | | | | | |   (198)  $false
% 170.03/25.86  | | | | | | | 
% 170.03/25.86  | | | | | | | CLOSE: (198) is inconsistent.
% 170.03/25.86  | | | | | | | 
% 170.03/25.86  | | | | | | Case 2:
% 170.03/25.86  | | | | | | | 
% 170.03/25.86  | | | | | | |   (199)  all_56_4 = e0 | all_56_9 = e0
% 170.03/25.86  | | | | | | | 
% 170.03/25.86  | | | | | | | BETA: splitting (199) gives:
% 170.03/25.86  | | | | | | | 
% 170.03/25.86  | | | | | | | Case 1:
% 170.03/25.86  | | | | | | | | 
% 170.24/25.86  | | | | | | | |   (200)  all_56_4 = e0
% 170.24/25.86  | | | | | | | | 
% 170.24/25.86  | | | | | | | | COMBINE_EQS: (105), (200) imply:
% 170.24/25.86  | | | | | | | |   (201)  all_52_8 = e0
% 170.24/25.86  | | | | | | | | 
% 170.24/25.86  | | | | | | | | REDUCE: (171), (201) imply:
% 170.24/25.86  | | | | | | | |   (202)  $false
% 170.24/25.86  | | | | | | | | 
% 170.24/25.86  | | | | | | | | CLOSE: (202) is inconsistent.
% 170.24/25.86  | | | | | | | | 
% 170.24/25.86  | | | | | | | Case 2:
% 170.24/25.86  | | | | | | | | 
% 170.24/25.86  | | | | | | | |   (203)  all_56_9 = e0
% 170.24/25.86  | | | | | | | | 
% 170.24/25.86  | | | | | | | | COMBINE_EQS: (68), (203) imply:
% 170.24/25.86  | | | | | | | |   (204)  all_52_12 = e0
% 170.24/25.86  | | | | | | | | 
% 170.24/25.86  | | | | | | | | SIMP: (204) implies:
% 170.24/25.86  | | | | | | | |   (205)  all_52_12 = e0
% 170.24/25.86  | | | | | | | | 
% 170.24/25.86  | | | | | | | | COMBINE_EQS: (154), (205) imply:
% 170.24/25.86  | | | | | | | |   (206)  all_58_28 = e0
% 170.24/25.86  | | | | | | | | 
% 170.24/25.86  | | | | | | | | REDUCE: (166), (205) imply:
% 170.24/25.86  | | | | | | | |   (207)   ~ (all_52_13 = e0)
% 170.24/25.86  | | | | | | | | 
% 170.24/25.86  | | | | | | | | REDUCE: (1), (205) imply:
% 170.24/25.86  | | | | | | | |   (208)   ~ (all_14_2 = e0)
% 170.24/25.86  | | | | | | | | 
% 170.24/25.86  | | | | | | | | SIMP: (208) implies:
% 170.24/25.86  | | | | | | | |   (209)   ~ (all_14_2 = e0)
% 170.24/25.86  | | | | | | | | 
% 170.24/25.86  | | | | | | | | BETA: splitting (118) gives:
% 170.24/25.86  | | | | | | | | 
% 170.24/25.86  | | | | | | | | Case 1:
% 170.24/25.86  | | | | | | | | | 
% 170.24/25.86  | | | | | | | | |   (210)  all_56_6 = e0
% 170.24/25.86  | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | COMBINE_EQS: (125), (210) imply:
% 170.24/25.86  | | | | | | | | |   (211)  all_52_2 = e0
% 170.24/25.86  | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | COMBINE_EQS: (86), (211) imply:
% 170.24/25.86  | | | | | | | | |   (212)  all_58_18 = e0
% 170.24/25.86  | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | REDUCE: (138), (211) imply:
% 170.24/25.86  | | | | | | | | |   (213)   ~ (all_52_3 = e0)
% 170.24/25.86  | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | REDUCE: (14), (211) imply:
% 170.24/25.86  | | | | | | | | |   (214)   ~ (all_6_2 = e0)
% 170.24/25.86  | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | BETA: splitting (161) gives:
% 170.24/25.86  | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | Case 1:
% 170.24/25.86  | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | |   (215)  all_56_12 = e1
% 170.24/25.86  | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | COMBINE_EQS: (6), (215) imply:
% 170.24/25.86  | | | | | | | | | |   (216)  all_52_3 = e1
% 170.24/25.86  | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | SIMP: (216) implies:
% 170.24/25.86  | | | | | | | | | |   (217)  all_52_3 = e1
% 170.24/25.86  | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | REDUCE: (15), (217) imply:
% 170.24/25.86  | | | | | | | | | |   (218)   ~ (all_14_2 = e1)
% 170.24/25.86  | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | REDUCE: (50), (217) imply:
% 170.24/25.86  | | | | | | | | | |   (219)   ~ (all_6_2 = e1)
% 170.24/25.86  | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | SIMP: (219) implies:
% 170.24/25.86  | | | | | | | | | |   (220)   ~ (all_6_2 = e1)
% 170.24/25.86  | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | BETA: splitting (7) gives:
% 170.24/25.86  | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | Case 1:
% 170.24/25.86  | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | |   (221)  all_54_0 = e0
% 170.24/25.86  | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | REF_CLOSE: (134), (191), (221) are inconsistent by sub-proof
% 170.24/25.86  | | | | | | | | | | |            #984.
% 170.24/25.86  | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | Case 2:
% 170.24/25.86  | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | |   (222)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 170.24/25.86  | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | REF_CLOSE: (9), (17), (24), (27), (41), (44), (45), (47),
% 170.24/25.86  | | | | | | | | | | |            (52), (55), (57), (59), (60), (61), (64), (67),
% 170.24/25.86  | | | | | | | | | | |            (72), (75), (84), (87), (89), (99), (122), (127),
% 170.24/25.86  | | | | | | | | | | |            (134), (135), (148), (149), (152), (156), (170),
% 170.24/25.86  | | | | | | | | | | |            (173), (191), (203), (206), (209), (212), (220),
% 170.24/25.86  | | | | | | | | | | |            (222) are inconsistent by sub-proof #847.
% 170.24/25.86  | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | End of split
% 170.24/25.86  | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | Case 2:
% 170.24/25.86  | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | |   (223)  all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 170.24/25.86  | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | BETA: splitting (223) gives:
% 170.24/25.86  | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | Case 1:
% 170.24/25.86  | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | |   (224)  all_56_13 = e1
% 170.24/25.86  | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | COMBINE_EQS: (178), (224) imply:
% 170.24/25.86  | | | | | | | | | | |   (225)  e1 = e0
% 170.24/25.86  | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | REDUCE: (156), (225) imply:
% 170.24/25.86  | | | | | | | | | | |   (226)  $false
% 170.24/25.86  | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | CLOSE: (226) is inconsistent.
% 170.24/25.86  | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | Case 2:
% 170.24/25.86  | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | |   (227)  all_56_14 = e1 | all_56_15 = e1
% 170.24/25.86  | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | BETA: splitting (227) gives:
% 170.24/25.86  | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | Case 1:
% 170.24/25.86  | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | |   (228)  all_56_14 = e1
% 170.24/25.86  | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | COMBINE_EQS: (38), (228) imply:
% 170.24/25.86  | | | | | | | | | | | |   (229)  all_52_11 = e1
% 170.24/25.86  | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | SIMP: (229) implies:
% 170.24/25.86  | | | | | | | | | | | |   (230)  all_52_11 = e1
% 170.24/25.86  | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | COMBINE_EQS: (61), (230) imply:
% 170.24/25.86  | | | | | | | | | | | |   (231)  all_58_27 = e1
% 170.24/25.86  | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | REDUCE: (28), (230) imply:
% 170.24/25.86  | | | | | | | | | | | |   (232)   ~ (all_14_2 = e1)
% 170.24/25.86  | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | REDUCE: (48), (230) imply:
% 170.24/25.86  | | | | | | | | | | | |   (233)   ~ (all_10_2 = e1)
% 170.24/25.86  | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | SIMP: (233) implies:
% 170.24/25.86  | | | | | | | | | | | |   (234)   ~ (all_10_2 = e1)
% 170.24/25.86  | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | BETA: splitting (59) gives:
% 170.24/25.86  | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | Case 1:
% 170.24/25.86  | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | |   (235)  all_58_27 = e0
% 170.24/25.86  | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | REF_CLOSE: (24), (27), (156), (227), (228), (231), (235) are
% 170.24/25.86  | | | | | | | | | | | | |            inconsistent by sub-proof #448.
% 170.24/25.86  | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | Case 2:
% 170.24/25.86  | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | |   (236)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 170.24/25.86  | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | BETA: splitting (236) gives:
% 170.24/25.86  | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | Case 1:
% 170.24/25.86  | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | |   (237)  all_58_26 = e1
% 170.24/25.86  | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | REF_CLOSE: (45), (234), (237) are inconsistent by sub-proof
% 170.24/25.86  | | | | | | | | | | | | | |            #968.
% 170.24/25.86  | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | Case 2:
% 170.24/25.86  | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | |   (238)   ~ (all_58_26 = e1)
% 170.24/25.86  | | | | | | | | | | | | | |   (239)  all_58_24 = e3 | all_58_25 = e2
% 170.24/25.86  | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 170.24/25.86  | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | Case 1:
% 170.24/25.86  | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | |   (240)  all_58_25 = e2
% 170.24/25.86  | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | REF_CLOSE: (152), (170), (240) are inconsistent by sub-proof
% 170.24/25.86  | | | | | | | | | | | | | | |            #850.
% 170.24/25.86  | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | Case 2:
% 170.24/25.86  | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | |   (241)  all_58_24 = e3
% 170.24/25.86  | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | COMBINE_EQS: (127), (241) imply:
% 170.24/25.86  | | | | | | | | | | | | | | |   (242)  all_52_8 = e3
% 170.24/25.86  | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | REDUCE: (139), (242) imply:
% 170.24/25.86  | | | | | | | | | | | | | | |   (243)   ~ (all_52_4 = e3)
% 170.24/25.86  | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | REDUCE: (122), (242) imply:
% 170.24/25.86  | | | | | | | | | | | | | | |   (244)   ~ (all_6_2 = e3)
% 170.24/25.86  | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | SIMP: (244) implies:
% 170.24/25.86  | | | | | | | | | | | | | | |   (245)   ~ (all_6_2 = e3)
% 170.24/25.86  | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 170.24/25.86  | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | Case 1:
% 170.24/25.86  | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | |   (246)  all_58_31 = e0
% 170.24/25.86  | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | COMBINE_EQS: (47), (246) imply:
% 170.24/25.86  | | | | | | | | | | | | | | | |   (247)  all_14_2 = e0
% 170.24/25.86  | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | REDUCE: (209), (247) imply:
% 170.24/25.86  | | | | | | | | | | | | | | | |   (248)  $false
% 170.24/25.86  | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | CLOSE: (248) is inconsistent.
% 170.24/25.86  | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | Case 2:
% 170.24/25.86  | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | |   (249)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 |
% 170.24/25.86  | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 170.24/25.86  | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 170.24/25.86  | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.24/25.86  | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 170.24/25.86  | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 170.24/25.86  | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.24/25.86  | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 170.24/25.86  | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 170.24/25.86  | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.24/25.86  | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 170.24/25.86  | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 170.24/25.86  | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.24/25.86  | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 170.24/25.86  | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 170.24/25.86  | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 170.24/25.86  | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 170.24/25.86  | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 170.24/25.86  | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 170.24/25.86  | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 170.24/25.86  | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 170.24/25.86  | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 170.24/25.86  | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 170.24/25.86  | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 170.24/25.86  | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 170.24/25.86  | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 170.24/25.86  | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 170.24/25.86  | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 170.24/25.86  | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 170.24/25.86  | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 170.24/25.86  | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 170.24/25.86  | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 170.24/25.86  | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 170.24/25.86  | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 170.24/25.86  | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 170.24/25.86  | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 170.24/25.86  | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 170.24/25.86  | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.24/25.86  | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 170.24/25.86  | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 170.24/25.86  | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.24/25.86  | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 170.24/25.86  | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 170.24/25.86  | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | BETA: splitting (17) gives:
% 170.24/25.86  | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.86  | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | |   (250)  all_58_19 = e0
% 170.24/25.86  | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | COMBINE_EQS: (67), (250) imply:
% 170.24/25.86  | | | | | | | | | | | | | | | | |   (251)  all_52_3 = e0
% 170.24/25.86  | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | REDUCE: (149), (251) imply:
% 170.24/25.86  | | | | | | | | | | | | | | | | |   (252)  $false
% 170.24/25.86  | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | CLOSE: (252) is inconsistent.
% 170.24/25.86  | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.86  | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | |   (253)   ~ (all_58_19 = e0)
% 170.24/25.86  | | | | | | | | | | | | | | | | |   (254)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 170.24/25.86  | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 170.24/25.86  | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | |   (255)  all_58_26 = e1
% 170.24/25.86  | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (234), (255) are inconsistent by sub-proof
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            #968.
% 170.24/25.86  | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | |   (256)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            & all_58_18 = e1 & all_58_20 = e3 & all_58_24 =
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            all_58_20 = e3 & all_58_28 = e0) | (all_58_17 =
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            = e2) | (all_58_17 = e3 & all_58_20 = e3 &
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            all_58_23 = e2 & all_58_29 = e2) | (all_58_17 =
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            = e3) | (all_58_17 = e2 & all_58_19 = e3 &
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            all_58_20 = e2 & all_58_28 = e3) | (all_58_17 =
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            all_58_23 = e0 & all_58_29 = e0) | (all_58_17 =
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            & all_58_19 = e0 & all_58_24 = e3 & all_58_28 =
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            all_58_24 = e3 & all_58_25 = e1) | (all_58_18 =
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            all_58_24 = e1 & all_58_28 = e3) | (all_58_18 =
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_18 =
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_28 = e3 & all_58_29 =
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 =
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 =
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_25 = e2 & all_58_29 =
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            e0) | (all_58_22 = e2 & all_58_25 = e2 &
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            all_58_27 = e1 & all_58_30 = e1) | (all_58_22 =
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            = e2) | (all_58_22 = e1 & all_58_25 = e1 &
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_22 =
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 = e2
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            & all_58_27 = e0 & all_58_29 = e2 & all_58_30 =
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            e0) | (all_58_23 = e0 & all_58_27 = e1 &
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            all_58_29 = e0 & all_58_30 = e1) | (all_58_23 =
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0
% 170.24/25.86  | | | | | | | | | | | | | | | | | |            & all_58_30 = e0 & e1 = e0)
% 170.24/25.86  | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |   (257)  all_58_21 = e2
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (66), (71), (143), (147), (185), (257) are
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #123.
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |   (258)  all_58_16 = e3 | (all_58_17 = e3 & all_58_18 = e1
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            & all_58_20 = e3 & all_58_24 = e1) | (all_58_17
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            all_58_28 = e0) | (all_58_17 = e3 & all_58_20 =
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_18 = e1 & all_58_24
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 =
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e3 & all_58_29 = e0) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_19 = e0 & all_58_23
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_19 = e0 & all_58_28
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            = e0 & e3 = e0) | (all_58_22 = e2 & all_58_23 =
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            e0 & all_58_25 = e2 & all_58_29 = e0) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 170.24/25.86  | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | |   (259)  all_56_1 = e2
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3), (259) imply:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | |   (260)  all_52_4 = e2
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | REDUCE: (95), (260) imply:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | |   (261)   ~ (all_6_2 = e2)
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | SIMP: (261) implies:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | |   (262)   ~ (all_6_2 = e2)
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | REDUCE: (243), (260) imply:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | |   (263)   ~ (e3 = e2)
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | BETA: splitting (7) gives:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | |   (264)  all_54_0 = e0
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (191), (264) are inconsistent by sub-proof
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | |            #984.
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | |   (265)   ~ (all_54_0 = e0)
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | |   (266)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (266) gives:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | |   (267)  all_54_0 = e1
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (134), (267) imply:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | |   (268)  all_6_2 = e1
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | SIMP: (268) implies:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | |   (269)  all_6_2 = e1
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (89), (269) imply:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | |   (270)  all_58_16 = e1
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (245), (269) imply:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | |   (271)   ~ (e3 = e1)
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (262), (269) imply:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | |   (272)   ~ (e2 = e1)
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | |   (273)  all_58_18 = e1
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (212), (273) imply:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | |   (274)  e1 = e0
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (27), (156), (227), (228), (274) are
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #447.
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | |   (275)   ~ (all_58_18 = e1)
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | |   (276)  all_58_16 = e3 | all_58_17 = e2
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (212), (275) imply:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | |   (277)   ~ (e1 = e0)
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |   (278)  all_58_16 = e3
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (278) imply:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |   (279)  e3 = e1
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (279) implies:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |   (280)  e3 = e1
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (241), (280) imply:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |   (281)  all_58_24 = e1
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (45), (152), (170), (234), (236), (281) are
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #966.
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |   (282)   ~ (all_58_16 = e3)
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |   (283)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (283) gives:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (284) gives:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2)
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (72), (89), (245), (276), (286) are inconsistent
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #342.
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (287) gives:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3)
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (288) gives:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (289) implies:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  all_58_17 = e3
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (72), (89), (245), (276), (290) are inconsistent
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #366.
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e3
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (291) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  all_58_18 = e3
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (212), (292) imply:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  e3 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (293) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  e3 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (33), (36), (45), (64), (97), (119),
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (126), (141), (143), (236), (241), (270), (276),
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (294) are inconsistent by sub-proof #72.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (295) gives:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 &
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (296) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  all_58_28 = e3
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (206), (297) imply:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  e3 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (33), (36), (45), (64), (97), (119),
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (126), (141), (143), (236), (241), (270), (276),
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (298) are inconsistent by sub-proof #72.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (299) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  all_58_25 = e1
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (27), (156), (170), (227), (228), (300) are
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #71.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0)
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2)
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (304) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  all_58_29 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (99), (101), (305) are inconsistent by sub-proof
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #70.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)  all_58_17 = e2 & all_58_20 = e2 & e3 = e2
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (306) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  e3 = e2
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (241), (307) imply:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  all_58_24 = e2
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (72), (152), (170), (239), (308) are inconsistent
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #947.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1)
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (310) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  all_58_18 = e3
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (212), (311) imply:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  e3 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (312) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  e3 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (33), (36), (45), (64), (97), (119),
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (126), (141), (143), (236), (241), (270), (276),
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (313) are inconsistent by sub-proof #72.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 &
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (314) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  all_58_25 = e1
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  all_58_18 = e3
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (212), (316) imply:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  e3 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (317) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  e3 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (241), (318) imply:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  all_58_24 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (75), (97), (234), (236), (315), (319) are
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #69.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3)
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (321) gives:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (322) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  all_58_18 = e3
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (212), (323) imply:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  e3 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (324) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  e3 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (33), (36), (45), (64), (97), (119),
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (126), (141), (143), (236), (241), (270), (276),
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (325) are inconsistent by sub-proof #72.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (326) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  all_58_24 = e1
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (45), (152), (170), (234), (236), (327) are
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #966.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 &
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (329) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  all_58_24 = e1
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (45), (152), (170), (234), (236), (330) are
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #966.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (331) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  all_58_24 = e1
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (45), (152), (170), (234), (236), (332) are
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #966.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  all_58_18 = e1 & all_58_24 = e1 & e3 = e1
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (336) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  all_58_24 = e1
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (45), (152), (170), (234), (236), (337) are
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #966.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (339) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  all_58_28 = e3
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (206), (340) imply:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  e3 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (33), (36), (45), (64), (97), (119),
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (126), (141), (143), (236), (241), (270), (276),
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (341) are inconsistent by sub-proof #72.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (342) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  all_58_28 = e3
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (206), (343) imply:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  e3 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (33), (36), (45), (64), (97), (119),
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (126), (141), (143), (236), (241), (270), (276),
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (344) are inconsistent by sub-proof #72.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (345) gives:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (346)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1)
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (346) gives:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (347) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  all_58_23 = e2
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (152), (181), (348) are inconsistent by sub-proof
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #586.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (349) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  all_58_19 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (67), (350) imply:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  all_52_3 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (351) imply:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (352)  $false
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (352) is inconsistent.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (353)  (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (353) gives:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (354)  all_58_19 = e0 & all_58_28 = e0 & e3 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (354) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (355)  e3 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11), (33), (36), (45), (64), (97), (119),
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (126), (141), (143), (236), (241), (270), (276),
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (355) are inconsistent by sub-proof #72.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (356)  all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (356) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (357)  all_58_25 = e2
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (170), (357) imply:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (358)  e2 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (152), (358) imply:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (359)  $false
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (359) is inconsistent.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (361)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (362)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2)
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (362) gives:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (363) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  all_58_25 = e2
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (170), (364) imply:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (365)  e2 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (365) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (366)  e2 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (152), (366) imply:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (367)  $false
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (367) is inconsistent.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (368)  all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (368) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (369)  all_58_25 = e1
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (27), (156), (170), (227), (228), (369) are
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #71.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (370)  (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (370) gives:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (371)  all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (371) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (372)  all_58_27 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (27), (156), (227), (228), (231), (372) are
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #68.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (373)  all_58_22 = e1 & all_58_25 = e1 & e2 = e1
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (373) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (374)  all_58_25 = e1
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (170), (374) imply:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (375)  e1 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (27), (156), (227), (228), (375) are
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #447.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (376)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (377)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1)
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (377) gives:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (378)  all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (378) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (379)  all_58_27 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (27), (156), (227), (228), (231), (379) are
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #68.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (380)  all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (380) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (381)  all_58_29 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (99), (101), (381) are inconsistent by sub-proof
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #70.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (382)  (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (382) gives:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (383)  all_58_23 = e0 & all_58_29 = e0 & e2 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (383) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (384)  e2 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (152), (384) imply:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (385)  $false
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (385) is inconsistent.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (386)  all_58_27 = e0 & all_58_30 = e0 & e1 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (386) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (387)  all_58_27 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (27), (156), (227), (228), (231), (387) are
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #68.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | |   (388)  all_54_0 = e3 | all_54_0 = e2
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (245), (262), (388) are inconsistent by
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #843.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | |   (389)   ~ (all_56_1 = e2)
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (389) imply:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | |   (390)   ~ (all_52_4 = e2)
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | |   (391)  all_54_1 = e0
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (182), (391) are inconsistent by sub-proof
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | |            #866.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | |   (392)   ~ (all_54_1 = e0)
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | |   (393)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | |   (394)  all_54_1 = e1
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (31), (394) imply:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | |   (395)  all_52_4 = e1
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | SIMP: (395) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | |   (396)  all_52_4 = e1
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (95), (396) imply:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | |   (397)   ~ (all_6_2 = e1)
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | SIMP: (397) implies:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | |   (398)   ~ (all_6_2 = e1)
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (52), (64), (89), (134), (156), (191), (212),
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | |            (245), (254), (398) are inconsistent by sub-proof
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | |            #66.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | |   (399)  all_54_1 = e3 | all_54_1 = e2
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (243), (390), (399) are inconsistent by
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #863.
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | |   (400)  all_56_15 = e1
% 170.24/25.87  | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | | REF_CLOSE: (24), (27), (400) are inconsistent by sub-proof
% 170.24/25.87  | | | | | | | | | | | |            #876.
% 170.24/25.87  | | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | | 
% 170.24/25.87  | | | | | | | | Case 2:
% 170.24/25.87  | | | | | | | | | 
% 170.24/25.87  | | | | | | | | |   (401)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.24/25.87  | | | | | | | | | 
% 170.24/25.87  | | | | | | | | | REF_CLOSE: (1), (3), (6), (7), (8), (9), (10), (11), (14),
% 170.24/25.87  | | | | | | | | |            (16), (17), (18), (19), (20), (21), (22), (23),
% 170.24/25.87  | | | | | | | | |            (25), (26), (31), (32), (33), (34), (35), (36),
% 170.24/25.87  | | | | | | | | |            (38), (41), (43), (44), (45), (46), (47), (48),
% 170.24/25.87  | | | | | | | | |            (49), (50), (51), (52), (53), (55), (57), (59),
% 170.24/25.87  | | | | | | | | |            (60), (61), (62), (64), (67), (68), (69), (70),
% 170.24/25.87  | | | | | | | | |            (72), (75), (76), (79), (80), (81), (82), (83),
% 170.24/25.87  | | | | | | | | |            (84), (85), (86), (87), (88), (89), (90), (91),
% 170.24/25.87  | | | | | | | | |            (93), (94), (95), (96), (97), (98), (99), (100),
% 170.24/25.87  | | | | | | | | |            (102), (104), (105), (106), (108), (109), (112),
% 170.24/25.87  | | | | | | | | |            (114), (116), (119), (121), (122), (123), (125),
% 170.24/25.87  | | | | | | | | |            (126), (127), (129), (130), (132), (133), (134),
% 170.24/25.87  | | | | | | | | |            (135), (136), (140), (141), (142), (143), (145),
% 170.24/25.87  | | | | | | | | |            (147), (148), (150), (151), (152), (153), (154),
% 170.24/25.87  | | | | | | | | |            (155), (156), (157), (158), (159), (160), (162),
% 170.24/25.87  | | | | | | | | |            (163), (164), (165), (166), (173), (181), (182),
% 170.24/25.87  | | | | | | | | |            (183), (185), (187), (401) are inconsistent by
% 170.24/25.87  | | | | | | | | |            sub-proof #135.
% 170.24/25.87  | | | | | | | | | 
% 170.24/25.87  | | | | | | | | End of split
% 170.24/25.87  | | | | | | | | 
% 170.24/25.87  | | | | | | | End of split
% 170.24/25.87  | | | | | | | 
% 170.24/25.87  | | | | | | End of split
% 170.24/25.87  | | | | | | 
% 170.24/25.87  | | | | | End of split
% 170.24/25.87  | | | | | 
% 170.24/25.87  | | | | End of split
% 170.24/25.87  | | | | 
% 170.24/25.87  | | | Case 2:
% 170.24/25.87  | | | | 
% 170.24/25.87  | | | |   (402)  all_56_14 = e0
% 170.24/25.87  | | | | 
% 170.24/25.87  | | | | REF_CLOSE: (38), (173), (402) are inconsistent by sub-proof #915.
% 170.24/25.87  | | | | 
% 170.24/25.87  | | | End of split
% 170.24/25.87  | | | 
% 170.24/25.87  | | End of split
% 170.24/25.87  | | 
% 170.24/25.87  | Case 2:
% 170.24/25.87  | | 
% 170.24/25.87  | |   (403)   ~ (all_54_6 = e0)
% 170.24/25.87  | | 
% 170.24/25.87  | | REDUCE: (37), (403) imply:
% 170.24/25.87  | |   (404)   ~ (all_52_9 = e0)
% 170.24/25.87  | | 
% 170.24/25.87  | | BETA: splitting (93) gives:
% 170.24/25.87  | | 
% 170.24/25.87  | | Case 1:
% 170.24/25.87  | | | 
% 170.24/25.87  | | |   (405)  all_56_4 = e0
% 170.24/25.87  | | | 
% 170.24/25.87  | | | REF_CLOSE: (5), (6), (7), (10), (11), (12), (13), (14), (15), (17), (19),
% 170.24/25.87  | | |            (22), (24), (27), (28), (34), (35), (38), (43), (44), (45),
% 170.24/25.87  | | |            (47), (48), (49), (50), (55), (57), (59), (60), (61), (63),
% 170.24/25.87  | | |            (64), (67), (68), (72), (73), (75), (77), (84), (85), (86),
% 170.24/25.87  | | |            (87), (89), (90), (94), (96), (97), (98), (99), (101), (103),
% 170.24/25.87  | | |            (105), (106), (107), (109), (111), (115), (121), (122), (127),
% 170.24/25.87  | | |            (128), (129), (131), (133), (134), (138), (140), (141), (143),
% 170.24/25.87  | | |            (144), (145), (146), (147), (148), (149), (152), (154), (156),
% 170.24/25.87  | | |            (162), (164), (405) are inconsistent by sub-proof #65.
% 170.24/25.87  | | | 
% 170.24/25.87  | | Case 2:
% 170.24/25.87  | | | 
% 170.24/25.87  | | |   (406)   ~ (all_56_4 = e0)
% 170.24/25.87  | | | 
% 170.24/25.87  | | | REDUCE: (105), (406) imply:
% 170.24/25.87  | | |   (407)   ~ (all_52_8 = e0)
% 170.24/25.87  | | | 
% 170.24/25.87  | | | BETA: splitting (106) gives:
% 170.24/25.87  | | | 
% 170.24/25.87  | | | Case 1:
% 170.24/25.87  | | | | 
% 170.24/25.87  | | | |   (408)  all_56_2 = e0
% 170.24/25.87  | | | | 
% 170.24/25.87  | | | | COMBINE_EQS: (96), (408) imply:
% 170.24/25.88  | | | |   (409)  all_52_1 = e0
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | | COMBINE_EQS: (64), (409) imply:
% 170.24/25.88  | | | |   (410)  all_58_17 = e0
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | | REDUCE: (100), (409) imply:
% 170.24/25.88  | | | |   (411)   ~ (all_52_2 = e0)
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | | SIMP: (411) implies:
% 170.24/25.88  | | | |   (412)   ~ (all_52_2 = e0)
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | | REDUCE: (153), (409) imply:
% 170.24/25.88  | | | |   (413)   ~ (all_52_3 = e0)
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | | REDUCE: (52), (409) imply:
% 170.24/25.88  | | | |   (414)   ~ (all_6_2 = e0)
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | | SIMP: (414) implies:
% 170.24/25.88  | | | |   (415)   ~ (all_6_2 = e0)
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | | BETA: splitting (88) gives:
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | | Case 1:
% 170.24/25.88  | | | | | 
% 170.24/25.88  | | | | |   (416)  all_56_1 = e0
% 170.24/25.88  | | | | | 
% 170.24/25.88  | | | | | REF_CLOSE: (1), (3), (7), (8), (9), (10), (11), (12), (13), (14),
% 170.24/25.88  | | | | |            (17), (22), (24), (26), (27), (30), (42), (43), (44), (46),
% 170.24/25.88  | | | | |            (47), (50), (54), (55), (56), (57), (60), (65), (66), (67),
% 170.24/25.88  | | | | |            (68), (69), (71), (72), (73), (74), (75), (77), (78), (80),
% 170.24/25.88  | | | | |            (84), (85), (86), (87), (89), (90), (91), (95), (97), (98),
% 170.24/25.88  | | | | |            (99), (105), (109), (112), (114), (117), (118), (120),
% 170.24/25.88  | | | | |            (122), (125), (128), (130), (131), (133), (134), (136),
% 170.24/25.88  | | | | |            (137), (138), (139), (140), (143), (144), (145), (147),
% 170.24/25.88  | | | | |            (148), (149), (154), (155), (156), (158), (159), (410),
% 170.24/25.88  | | | | |            (412), (416) are inconsistent by sub-proof #64.
% 170.24/25.88  | | | | | 
% 170.24/25.88  | | | | Case 2:
% 170.24/25.88  | | | | | 
% 170.24/25.88  | | | | |   (417)   ~ (all_56_1 = e0)
% 170.24/25.88  | | | | | 
% 170.24/25.88  | | | | | REDUCE: (3), (417) imply:
% 170.24/25.88  | | | | |   (418)   ~ (all_52_4 = e0)
% 170.24/25.88  | | | | | 
% 170.24/25.88  | | | | | BETA: splitting (124) gives:
% 170.24/25.88  | | | | | 
% 170.24/25.88  | | | | | Case 1:
% 170.24/25.88  | | | | | | 
% 170.24/25.88  | | | | | |   (419)  all_56_0 = e0
% 170.24/25.88  | | | | | | 
% 170.24/25.88  | | | | | | COMBINE_EQS: (57), (419) imply:
% 170.24/25.88  | | | | | |   (420)  all_6_2 = e0
% 170.24/25.88  | | | | | | 
% 170.24/25.88  | | | | | | REDUCE: (415), (420) imply:
% 170.24/25.88  | | | | | |   (421)  $false
% 170.24/25.88  | | | | | | 
% 170.24/25.88  | | | | | | CLOSE: (421) is inconsistent.
% 170.24/25.88  | | | | | | 
% 170.24/25.88  | | | | | Case 2:
% 170.24/25.88  | | | | | | 
% 170.24/25.88  | | | | | |   (422)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 170.24/25.88  | | | | | | 
% 170.24/25.88  | | | | | | BETA: splitting (422) gives:
% 170.24/25.88  | | | | | | 
% 170.24/25.88  | | | | | | Case 1:
% 170.24/25.88  | | | | | | | 
% 170.24/25.88  | | | | | | |   (423)  all_56_1 = e0
% 170.24/25.88  | | | | | | | 
% 170.24/25.88  | | | | | | | COMBINE_EQS: (3), (423) imply:
% 170.24/25.88  | | | | | | |   (424)  all_52_4 = e0
% 170.24/25.88  | | | | | | | 
% 170.24/25.88  | | | | | | | REDUCE: (418), (424) imply:
% 170.24/25.88  | | | | | | |   (425)  $false
% 170.24/25.88  | | | | | | | 
% 170.24/25.88  | | | | | | | CLOSE: (425) is inconsistent.
% 170.24/25.88  | | | | | | | 
% 170.24/25.88  | | | | | | Case 2:
% 170.24/25.88  | | | | | | | 
% 170.24/25.88  | | | | | | |   (426)  all_56_4 = e0 | all_56_9 = e0
% 170.24/25.88  | | | | | | | 
% 170.24/25.88  | | | | | | | BETA: splitting (426) gives:
% 170.24/25.88  | | | | | | | 
% 170.24/25.88  | | | | | | | Case 1:
% 170.24/25.88  | | | | | | | | 
% 170.24/25.88  | | | | | | | |   (427)  all_56_4 = e0
% 170.24/25.88  | | | | | | | | 
% 170.24/25.88  | | | | | | | | COMBINE_EQS: (105), (427) imply:
% 170.24/25.88  | | | | | | | |   (428)  all_52_8 = e0
% 170.24/25.88  | | | | | | | | 
% 170.24/25.88  | | | | | | | | REDUCE: (407), (428) imply:
% 170.24/25.88  | | | | | | | |   (429)  $false
% 170.24/25.88  | | | | | | | | 
% 170.24/25.88  | | | | | | | | CLOSE: (429) is inconsistent.
% 170.24/25.88  | | | | | | | | 
% 170.24/25.88  | | | | | | | Case 2:
% 170.24/25.88  | | | | | | | | 
% 170.24/25.88  | | | | | | | |   (430)  all_56_9 = e0
% 170.24/25.88  | | | | | | | | 
% 170.24/25.88  | | | | | | | | COMBINE_EQS: (68), (430) imply:
% 170.24/25.88  | | | | | | | |   (431)  all_52_12 = e0
% 170.24/25.88  | | | | | | | | 
% 170.24/25.88  | | | | | | | | SIMP: (431) implies:
% 170.24/25.88  | | | | | | | |   (432)  all_52_12 = e0
% 170.24/25.88  | | | | | | | | 
% 170.24/25.88  | | | | | | | | COMBINE_EQS: (154), (432) imply:
% 170.24/25.88  | | | | | | | |   (433)  all_58_28 = e0
% 170.24/25.88  | | | | | | | | 
% 170.24/25.88  | | | | | | | | REDUCE: (128), (432) imply:
% 170.24/25.88  | | | | | | | |   (434)   ~ (all_52_14 = e0)
% 170.24/25.88  | | | | | | | | 
% 170.24/25.88  | | | | | | | | SIMP: (434) implies:
% 170.24/25.88  | | | | | | | |   (435)   ~ (all_52_14 = e0)
% 170.24/25.88  | | | | | | | | 
% 170.24/25.88  | | | | | | | | REDUCE: (1), (432) imply:
% 170.24/25.88  | | | | | | | |   (436)   ~ (all_14_2 = e0)
% 170.24/25.88  | | | | | | | | 
% 170.24/25.88  | | | | | | | | SIMP: (436) implies:
% 170.24/25.88  | | | | | | | |   (437)   ~ (all_14_2 = e0)
% 170.24/25.88  | | | | | | | | 
% 170.24/25.88  | | | | | | | | BETA: splitting (118) gives:
% 170.24/25.88  | | | | | | | | 
% 170.24/25.88  | | | | | | | | Case 1:
% 170.24/25.88  | | | | | | | | | 
% 170.24/25.88  | | | | | | | | |   (438)  all_56_6 = e0
% 170.24/25.88  | | | | | | | | | 
% 170.24/25.88  | | | | | | | | | COMBINE_EQS: (125), (438) imply:
% 170.24/25.88  | | | | | | | | |   (439)  all_52_2 = e0
% 170.24/25.88  | | | | | | | | | 
% 170.24/25.88  | | | | | | | | | REDUCE: (412), (439) imply:
% 170.24/25.88  | | | | | | | | |   (440)  $false
% 170.24/25.88  | | | | | | | | | 
% 170.24/25.88  | | | | | | | | | CLOSE: (440) is inconsistent.
% 170.24/25.88  | | | | | | | | | 
% 170.24/25.88  | | | | | | | | Case 2:
% 170.24/25.88  | | | | | | | | | 
% 170.24/25.88  | | | | | | | | |   (441)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.24/25.88  | | | | | | | | | 
% 170.24/25.88  | | | | | | | | | REF_CLOSE: (3), (6), (9), (11), (12), (14), (16), (17), (24),
% 170.24/25.88  | | | | | | | | |            (27), (30), (31), (40), (43), (44), (46), (47),
% 170.24/25.88  | | | | | | | | |            (53), (54), (55), (56), (57), (60), (63), (65),
% 170.24/25.88  | | | | | | | | |            (67), (69), (72), (75), (80), (81), (82), (84),
% 170.24/25.88  | | | | | | | | |            (86), (87), (89), (95), (97), (99), (104), (105),
% 170.24/25.88  | | | | | | | | |            (110), (112), (113), (117), (119), (120), (122),
% 170.24/25.88  | | | | | | | | |            (125), (130), (135), (138), (139), (143), (145),
% 170.24/25.88  | | | | | | | | |            (147), (148), (149), (152), (155), (156), (158),
% 170.24/25.88  | | | | | | | | |            (161), (407), (408), (410), (415), (430), (433),
% 170.24/25.88  | | | | | | | | |            (435), (437), (441) are inconsistent by sub-proof
% 170.24/25.88  | | | | | | | | |            #440.
% 170.24/25.88  | | | | | | | | | 
% 170.24/25.88  | | | | | | | | End of split
% 170.24/25.88  | | | | | | | | 
% 170.24/25.88  | | | | | | | End of split
% 170.24/25.88  | | | | | | | 
% 170.24/25.88  | | | | | | End of split
% 170.24/25.88  | | | | | | 
% 170.24/25.88  | | | | | End of split
% 170.24/25.88  | | | | | 
% 170.24/25.88  | | | | End of split
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | Case 2:
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | |   (442)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | | REF_CLOSE: (4), (19), (29), (101), (103), (133), (143), (148), (404),
% 170.24/25.88  | | | |            (442) are inconsistent by sub-proof #127.
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | End of split
% 170.24/25.88  | | | 
% 170.24/25.88  | | End of split
% 170.24/25.88  | | 
% 170.24/25.88  | End of split
% 170.24/25.88  | 
% 170.24/25.88  End of proof
% 170.24/25.88  
% 170.24/25.88  Sub-proof #64 shows that the following formulas are inconsistent:
% 170.24/25.88  ----------------------------------------------------------------
% 170.24/25.88    (1)   ~ (all_52_12 = all_14_2)
% 170.24/25.88    (2)  all_56_1 = all_52_4
% 170.24/25.88    (3)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 170.24/25.88    (4)  op(e1, all_52_14) = all_58_11
% 170.24/25.88    (5)   ~ (all_10_2 = e0)
% 170.24/25.88    (6)   ~ (all_52_8 = all_52_12)
% 170.24/25.88    (7)   ~ (e3 = e1)
% 170.24/25.88    (8)  all_58_23 = all_52_7
% 170.24/25.88    (9)   ~ (all_14_1 = e1)
% 170.24/25.88    (10)   ~ (all_52_2 = all_6_2)
% 170.24/25.88    (11)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.24/25.88    (12)   ~ (all_52_12 = all_6_2)
% 170.24/25.88    (13)   ~ (all_14_2 = e1)
% 170.24/25.88    (14)  op(e1, e0) = all_52_14
% 170.24/25.88    (15)  all_56_15 = all_14_2
% 170.24/25.88    (16)  op(e3, all_52_4) = all_58_1
% 170.24/25.88    (17)  op(e0, all_52_3) = all_58_12
% 170.24/25.88    (18)  all_56_8 = all_10_2
% 170.24/25.88    (19)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.24/25.88    (20)   ~ (all_52_4 = all_52_6)
% 170.24/25.88    (21)  all_58_31 = all_14_2
% 170.24/25.88    (22)   ~ (all_52_3 = all_6_2)
% 170.24/25.88    (23)  all_54_2 = all_52_8
% 170.24/25.88    (24)  all_56_11 = all_52_14
% 170.24/25.88    (25)   ~ (all_52_6 = all_52_7)
% 170.24/25.88    (26)  all_56_0 = all_6_2
% 170.24/25.88    (27)  all_58_30 = all_52_14
% 170.24/25.88    (28)  op(e3, e1) = all_52_8
% 170.24/25.88    (29)  op(e2, all_4_2) = all_58_5
% 170.24/25.88    (30)  all_58_19 = all_52_3
% 170.24/25.88    (31)  all_56_9 = all_52_12
% 170.24/25.88    (32)   ~ (all_52_2 = all_52_6)
% 170.24/25.88    (33)  op(e2, e2) = all_4_2
% 170.24/25.88    (34)   ~ (e3 = e2)
% 170.24/25.88    (35)  op(e3, all_52_8) = all_58_2
% 170.24/25.88    (36)   ~ (all_52_4 = all_52_7)
% 170.24/25.88    (37)   ~ (e2 = e1)
% 170.24/25.88    (38)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 170.24/25.88    (39)   ~ (all_52_2 = e0)
% 170.24/25.88    (40)   ~ (all_52_7 = all_14_2)
% 170.24/25.88    (41)  all_56_1 = e0
% 170.24/25.88    (42)   ~ (all_52_13 = all_14_2)
% 170.24/25.88    (43)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.24/25.88    (44)   ~ (all_52_13 = all_52_14)
% 170.24/25.88    (45)  all_58_18 = all_52_2
% 170.24/25.88    (46)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.24/25.88    (47)  all_58_16 = all_6_2
% 170.24/25.88    (48)  all_56_13 = all_52_7
% 170.24/25.88    (49)  op(e0, e3) = all_52_3
% 170.24/25.88    (50)   ~ (all_52_4 = all_6_2)
% 170.24/25.88    (51)   ~ (e3 = e0)
% 170.24/25.88    (52)  op(e3, e0) = all_52_12
% 170.24/25.88    (53)  all_58_29 = all_52_13
% 170.24/25.88    (54)  all_56_4 = all_52_8
% 170.24/25.88    (55)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 170.24/25.88    (56)  all_58_20 = all_52_4
% 170.24/25.88    (57)  all_54_15 = all_14_2
% 170.24/25.88    (58)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 170.24/25.88    (59)  all_58_17 = e0
% 170.24/25.88    (60)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.24/25.88    (61)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.24/25.88    (62)   ~ (all_52_8 = all_6_2)
% 170.24/25.88    (63)  all_56_6 = all_52_2
% 170.24/25.88    (64)   ~ (all_52_12 = all_52_14)
% 170.24/25.88    (65)  all_58_22 = all_52_6
% 170.24/25.88    (66)  op(all_14_2, e0) = all_14_1
% 170.24/25.88    (67)  all_56_3 = all_4_2
% 170.24/25.88    (68)  all_54_0 = all_6_2
% 170.24/25.88    (69)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 170.24/25.88    (70)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 170.24/25.88    (71)   ~ (all_52_2 = all_52_3)
% 170.24/25.88    (72)   ~ (all_52_4 = all_52_8)
% 170.24/25.88    (73)   ~ (all_52_14 = all_14_2)
% 170.24/25.88    (74)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.24/25.88            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.24/25.88    (75)  all_54_12 = all_52_3
% 170.24/25.88    (76)   ~ (all_52_2 = all_52_14)
% 170.24/25.88    (77)  all_58_21 = all_4_2
% 170.24/25.88    (78)  all_56_10 = all_52_13
% 170.24/25.88    (79)   ~ (all_52_3 = e0)
% 170.24/25.88    (80)  all_58_28 = all_52_12
% 170.24/25.88    (81)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 170.24/25.88    (82)   ~ (e1 = e0)
% 170.24/25.88    (83)  all_56_7 = all_52_6
% 170.24/25.88    (84)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 170.24/25.88            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 170.24/25.88            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 170.24/25.88            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 170.24/25.88            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 170.24/25.88            (all_58_15 = e0))
% 170.24/25.88  
% 170.24/25.88  Begin of proof
% 170.24/25.88  | 
% 170.24/25.88  | COMBINE_EQS: (2), (41) imply:
% 170.24/25.88  |   (85)  all_52_4 = e0
% 170.24/25.88  | 
% 170.24/25.88  | COMBINE_EQS: (56), (85) imply:
% 170.24/25.88  |   (86)  all_58_20 = e0
% 170.24/25.88  | 
% 170.24/25.88  | REDUCE: (20), (85) imply:
% 170.24/25.88  |   (87)   ~ (all_52_6 = e0)
% 170.24/25.88  | 
% 170.24/25.88  | SIMP: (87) implies:
% 170.24/25.88  |   (88)   ~ (all_52_6 = e0)
% 170.24/25.88  | 
% 170.24/25.88  | REDUCE: (36), (85) imply:
% 170.24/25.88  |   (89)   ~ (all_52_7 = e0)
% 170.24/25.88  | 
% 170.24/25.88  | SIMP: (89) implies:
% 170.24/25.88  |   (90)   ~ (all_52_7 = e0)
% 170.24/25.88  | 
% 170.24/25.88  | REDUCE: (72), (85) imply:
% 170.24/25.88  |   (91)   ~ (all_52_8 = e0)
% 170.24/25.88  | 
% 170.24/25.88  | SIMP: (91) implies:
% 170.24/25.88  |   (92)   ~ (all_52_8 = e0)
% 170.24/25.88  | 
% 170.24/25.88  | REDUCE: (50), (85) imply:
% 170.24/25.88  |   (93)   ~ (all_6_2 = e0)
% 170.24/25.88  | 
% 170.24/25.88  | SIMP: (93) implies:
% 170.24/25.88  |   (94)   ~ (all_6_2 = e0)
% 170.24/25.88  | 
% 170.24/25.88  | REDUCE: (16), (85) imply:
% 170.24/25.88  |   (95)  op(e3, e0) = all_58_1
% 170.24/25.88  | 
% 170.24/25.88  | BETA: splitting (60) gives:
% 170.24/25.88  | 
% 170.24/25.88  | Case 1:
% 170.24/25.88  | | 
% 170.24/25.88  | |   (96)  all_56_6 = e0
% 170.24/25.88  | | 
% 170.24/25.88  | | COMBINE_EQS: (63), (96) imply:
% 170.24/25.88  | |   (97)  all_52_2 = e0
% 170.24/25.88  | | 
% 170.24/25.88  | | REDUCE: (39), (97) imply:
% 170.24/25.88  | |   (98)  $false
% 170.24/25.88  | | 
% 170.24/25.88  | | CLOSE: (98) is inconsistent.
% 170.24/25.88  | | 
% 170.24/25.88  | Case 2:
% 170.24/25.88  | | 
% 170.24/25.88  | |   (99)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.24/25.88  | | 
% 170.24/25.88  | | BETA: splitting (99) gives:
% 170.24/25.88  | | 
% 170.24/25.88  | | Case 1:
% 170.24/25.88  | | | 
% 170.24/25.88  | | |   (100)  all_56_7 = e0
% 170.24/25.88  | | | 
% 170.24/25.88  | | | COMBINE_EQS: (83), (100) imply:
% 170.24/25.88  | | |   (101)  all_52_6 = e0
% 170.24/25.88  | | | 
% 170.24/25.88  | | | REDUCE: (88), (101) imply:
% 170.24/25.88  | | |   (102)  $false
% 170.24/25.88  | | | 
% 170.24/25.88  | | | CLOSE: (102) is inconsistent.
% 170.24/25.88  | | | 
% 170.24/25.88  | | Case 2:
% 170.24/25.88  | | | 
% 170.24/25.88  | | |   (103)  all_56_8 = e0 | all_56_11 = e0
% 170.24/25.88  | | | 
% 170.24/25.88  | | | BETA: splitting (103) gives:
% 170.24/25.88  | | | 
% 170.24/25.88  | | | Case 1:
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | |   (104)  all_56_8 = e0
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | | COMBINE_EQS: (18), (104) imply:
% 170.24/25.88  | | | |   (105)  all_10_2 = e0
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | | REDUCE: (5), (105) imply:
% 170.24/25.88  | | | |   (106)  $false
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | | CLOSE: (106) is inconsistent.
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | Case 2:
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | |   (107)  all_56_11 = e0
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | | COMBINE_EQS: (24), (107) imply:
% 170.24/25.88  | | | |   (108)  all_52_14 = e0
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | | SIMP: (108) implies:
% 170.24/25.88  | | | |   (109)  all_52_14 = e0
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | | COMBINE_EQS: (27), (109) imply:
% 170.24/25.88  | | | |   (110)  all_58_30 = e0
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | | REDUCE: (64), (109) imply:
% 170.24/25.88  | | | |   (111)   ~ (all_52_12 = e0)
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | | REDUCE: (44), (109) imply:
% 170.24/25.88  | | | |   (112)   ~ (all_52_13 = e0)
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | | REDUCE: (73), (109) imply:
% 170.24/25.88  | | | |   (113)   ~ (all_14_2 = e0)
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | | SIMP: (113) implies:
% 170.24/25.88  | | | |   (114)   ~ (all_14_2 = e0)
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | | REDUCE: (4), (109) imply:
% 170.24/25.88  | | | |   (115)  op(e1, e0) = all_58_11
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | | REDUCE: (14), (109) imply:
% 170.24/25.88  | | | |   (116)  op(e1, e0) = e0
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | | GROUND_INST: instantiating (74) with e0, all_58_11, e0, e1, simplifying
% 170.24/25.88  | | | |              with (115), (116) gives:
% 170.24/25.88  | | | |   (117)  all_58_11 = e0
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | | GROUND_INST: instantiating (74) with all_52_12, all_58_1, e0, e3,
% 170.24/25.88  | | | |              simplifying with (52), (95) gives:
% 170.24/25.88  | | | |   (118)  all_58_1 = all_52_12
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | | BETA: splitting (43) gives:
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | | Case 1:
% 170.24/25.88  | | | | | 
% 170.24/25.88  | | | | |   (119)  all_56_9 = e1
% 170.24/25.88  | | | | | 
% 170.24/25.88  | | | | | REF_CLOSE: (7), (9), (15), (19), (21), (31), (34), (38), (51), (52),
% 170.24/25.88  | | | | |            (53), (66), (74), (78), (80), (107), (110), (111), (114),
% 170.24/25.88  | | | | |            (119) are inconsistent by sub-proof #114.
% 170.24/25.88  | | | | | 
% 170.24/25.88  | | | | Case 2:
% 170.24/25.88  | | | | | 
% 170.24/25.88  | | | | |   (120)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.24/25.88  | | | | | 
% 170.24/25.88  | | | | | BETA: splitting (120) gives:
% 170.24/25.88  | | | | | 
% 170.24/25.88  | | | | | Case 1:
% 170.24/25.88  | | | | | | 
% 170.24/25.88  | | | | | |   (121)  all_56_10 = e1
% 170.24/25.88  | | | | | | 
% 170.24/25.88  | | | | | | COMBINE_EQS: (78), (121) imply:
% 170.24/25.88  | | | | | |   (122)  all_52_13 = e1
% 170.24/25.88  | | | | | | 
% 170.24/25.88  | | | | | | SIMP: (122) implies:
% 170.24/25.88  | | | | | |   (123)  all_52_13 = e1
% 170.24/25.88  | | | | | | 
% 170.24/25.88  | | | | | | COMBINE_EQS: (53), (123) imply:
% 170.24/25.88  | | | | | |   (124)  all_58_29 = e1
% 170.24/25.88  | | | | | | 
% 170.24/25.88  | | | | | | REDUCE: (42), (123) imply:
% 170.24/25.88  | | | | | |   (125)   ~ (all_14_2 = e1)
% 170.24/25.88  | | | | | | 
% 170.24/25.88  | | | | | | BETA: splitting (19) gives:
% 170.24/25.88  | | | | | | 
% 170.24/25.88  | | | | | | Case 1:
% 170.24/25.88  | | | | | | | 
% 170.24/25.88  | | | | | | |   (126)  all_58_31 = e0
% 170.24/25.88  | | | | | | | 
% 170.24/25.88  | | | | | | | COMBINE_EQS: (21), (126) imply:
% 170.24/25.88  | | | | | | |   (127)  all_14_2 = e0
% 170.24/25.88  | | | | | | | 
% 170.24/25.88  | | | | | | | REDUCE: (114), (127) imply:
% 170.24/25.88  | | | | | | |   (128)  $false
% 170.24/25.88  | | | | | | | 
% 170.24/25.88  | | | | | | | CLOSE: (128) is inconsistent.
% 170.24/25.88  | | | | | | | 
% 170.24/25.88  | | | | | | Case 2:
% 170.24/25.88  | | | | | | | 
% 170.24/25.88  | | | | | | |   (129)   ~ (all_58_31 = e0)
% 170.24/25.88  | | | | | | |   (130)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 170.24/25.88  | | | | | | | 
% 170.24/25.88  | | | | | | | BETA: splitting (130) gives:
% 170.24/25.88  | | | | | | | 
% 170.24/25.88  | | | | | | | Case 1:
% 170.24/25.88  | | | | | | | | 
% 170.24/25.88  | | | | | | | |   (131)  all_58_30 = e1
% 170.24/25.88  | | | | | | | | 
% 170.24/25.88  | | | | | | | | REF_CLOSE: (82), (110), (131) are inconsistent by sub-proof
% 170.24/25.88  | | | | | | | |            #838.
% 170.24/25.88  | | | | | | | | 
% 170.24/25.88  | | | | | | | Case 2:
% 170.24/25.88  | | | | | | | | 
% 170.24/25.88  | | | | | | | |   (132)  all_58_28 = e3 | all_58_29 = e2
% 170.24/25.88  | | | | | | | | 
% 170.24/25.88  | | | | | | | | REF_CLOSE: (1), (3), (6), (8), (10), (11), (12), (13), (17),
% 170.24/25.88  | | | | | | | |            (22), (23), (25), (26), (28), (29), (30), (32), (33),
% 170.24/25.88  | | | | | | | |            (35), (37), (39), (40), (41), (45), (46), (47), (48),
% 170.24/25.88  | | | | | | | |            (49), (54), (55), (57), (58), (59), (61), (62), (65),
% 170.24/25.88  | | | | | | | |            (67), (68), (69), (70), (71), (74), (75), (77), (79),
% 170.24/25.88  | | | | | | | |            (80), (81), (83), (84), (86), (90), (92), (94),
% 170.24/25.88  | | | | | | | |            (114), (117), (124), (132) are inconsistent by
% 170.24/25.88  | | | | | | | |            sub-proof #109.
% 170.24/25.88  | | | | | | | | 
% 170.24/25.88  | | | | | | | End of split
% 170.24/25.88  | | | | | | | 
% 170.24/25.88  | | | | | | End of split
% 170.24/25.88  | | | | | | 
% 170.24/25.88  | | | | | Case 2:
% 170.24/25.88  | | | | | | 
% 170.24/25.88  | | | | | |   (133)  all_56_11 = e1 | all_56_15 = e1
% 170.24/25.88  | | | | | | 
% 170.24/25.88  | | | | | | REF_CLOSE: (13), (15), (82), (107), (133) are inconsistent by
% 170.24/25.88  | | | | | |            sub-proof #804.
% 170.24/25.88  | | | | | | 
% 170.24/25.88  | | | | | End of split
% 170.24/25.88  | | | | | 
% 170.24/25.88  | | | | End of split
% 170.24/25.88  | | | | 
% 170.24/25.88  | | | End of split
% 170.24/25.88  | | | 
% 170.24/25.88  | | End of split
% 170.24/25.88  | | 
% 170.24/25.88  | End of split
% 170.24/25.88  | 
% 170.24/25.88  End of proof
% 170.24/25.88  
% 170.24/25.88  Sub-proof #65 shows that the following formulas are inconsistent:
% 170.24/25.88  ----------------------------------------------------------------
% 170.24/25.88    (1)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 170.24/25.88    (2)  all_56_12 = all_52_3
% 170.24/25.88    (3)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 170.24/25.88    (4)   ~ (all_52_8 = all_52_12)
% 170.24/25.88    (5)   ~ (e3 = e1)
% 170.24/25.88    (6)  all_58_23 = all_52_7
% 170.24/25.88    (7)   ~ (all_14_1 = e1)
% 170.24/25.88    (8)   ~ (all_52_2 = all_6_2)
% 170.24/25.88    (9)   ~ (all_52_3 = all_14_2)
% 170.24/25.88    (10)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.24/25.88    (11)  all_56_5 = all_52_9
% 170.24/25.88    (12)   ~ (all_52_12 = all_6_2)
% 170.24/25.88    (13)   ~ (all_14_2 = e1)
% 170.24/25.88    (14)  all_56_15 = all_14_2
% 170.24/25.88    (15)   ~ (all_52_11 = all_14_2)
% 170.24/25.88    (16)   ~ (all_52_9 = all_4_2)
% 170.24/25.88    (17)   ~ (all_52_3 = all_52_7)
% 170.24/25.88    (18)  all_56_14 = all_52_11
% 170.24/25.88    (19)  all_56_8 = all_10_2
% 170.24/25.88    (20)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.24/25.88    (21)  all_58_26 = all_10_2
% 170.24/25.88    (22)  all_58_31 = all_14_2
% 170.24/25.88    (23)   ~ (all_52_11 = all_10_2)
% 170.24/25.88    (24)   ~ (all_52_9 = all_52_13)
% 170.24/25.88    (25)   ~ (all_52_3 = all_6_2)
% 170.24/25.88    (26)  all_56_11 = all_52_14
% 170.24/25.88    (27)  all_56_0 = all_6_2
% 170.24/25.88    (28)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 170.24/25.88    (29)  all_58_30 = all_52_14
% 170.24/25.88    (30)  all_58_27 = all_52_11
% 170.24/25.88    (31)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 170.24/25.88    (32)  all_58_17 = all_52_1
% 170.24/25.88    (33)  all_58_19 = all_52_3
% 170.24/25.88    (34)  all_56_9 = all_52_12
% 170.24/25.88    (35)  all_56_4 = e0
% 170.24/25.88    (36)   ~ (e3 = e2)
% 170.24/25.88    (37)  op(e3, all_52_8) = all_58_2
% 170.24/25.88    (38)   ~ (e2 = e1)
% 170.24/25.88    (39)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 170.24/25.88    (40)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.24/25.88    (41)   ~ (all_52_13 = all_52_14)
% 170.24/25.88    (42)  all_58_18 = all_52_2
% 170.24/25.88    (43)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.24/25.88    (44)  all_58_16 = all_6_2
% 170.24/25.88    (45)  all_56_13 = all_52_7
% 170.24/25.88    (46)   ~ (all_52_8 = all_52_9)
% 170.24/25.88    (47)  all_56_2 = all_52_1
% 170.24/25.88    (48)   ~ (e3 = e0)
% 170.24/25.88    (49)  op(e3, e0) = all_52_12
% 170.24/25.88    (50)  all_58_29 = all_52_13
% 170.24/25.88    (51)   ~ (all_52_13 = e0)
% 170.24/25.88    (52)   ~ (all_52_7 = all_4_2)
% 170.24/25.88    (53)  all_56_4 = all_52_8
% 170.24/25.88    (54)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.24/25.88    (55)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 170.24/25.88    (56)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 170.24/25.88    (57)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 170.24/25.88    (58)   ~ (all_52_7 = all_52_11)
% 170.24/25.88    (59)   ~ (all_52_8 = all_52_11)
% 170.24/25.88    (60)   ~ (all_52_8 = all_6_2)
% 170.24/25.88    (61)  all_58_24 = all_52_8
% 170.24/25.88    (62)   ~ (all_52_12 = all_52_14)
% 170.24/25.88    (63)   ~ (all_52_9 = all_52_11)
% 170.24/25.88    (64)  op(all_14_2, e0) = all_14_1
% 170.24/25.88    (65)  all_56_3 = all_4_2
% 170.24/25.88    (66)  all_54_0 = all_6_2
% 170.24/25.88    (67)   ~ (all_52_2 = all_52_3)
% 170.24/25.88    (68)   ~ (all_52_14 = all_14_2)
% 170.24/25.88    (69)  all_58_25 = all_52_9
% 170.24/25.88    (70)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.24/25.88            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.24/25.88    (71)  all_54_12 = all_52_3
% 170.24/25.88    (72)   ~ (all_52_2 = all_52_14)
% 170.24/25.88    (73)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 170.24/25.88    (74)  all_58_21 = all_4_2
% 170.24/25.88    (75)  all_56_10 = all_52_13
% 170.24/25.88    (76)   ~ (all_52_3 = e0)
% 170.24/25.88    (77)   ~ (e2 = e0)
% 170.24/25.88    (78)  all_58_28 = all_52_12
% 170.24/25.88    (79)   ~ (e1 = e0)
% 170.24/25.88    (80)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.24/25.88          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.24/25.88          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.24/25.88          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.24/25.88          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.24/25.88          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.24/25.88          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.24/25.88          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.24/25.88          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.24/25.88          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.24/25.88            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.24/25.88            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.24/25.88            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.24/25.88            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.24/25.88            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.24/25.88            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.24/25.88            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.24/25.88            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.24/25.88            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.24/25.88            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.24/25.88            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.24/25.88            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.24/25.88            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.24/25.88            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.24/25.88            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.24/25.88            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.24/25.88          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.24/25.88          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.24/25.88          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.24/25.88            all_58_30 = e0 & e1 = e0)
% 170.24/25.88    (81)   ~ (all_52_2 = all_10_2)
% 170.24/25.88  
% 170.24/25.88  Begin of proof
% 170.24/25.88  | 
% 170.24/25.88  | COMBINE_EQS: (35), (53) imply:
% 170.24/25.88  |   (82)  all_52_8 = e0
% 170.24/25.88  | 
% 170.24/25.88  | COMBINE_EQS: (61), (82) imply:
% 170.24/25.88  |   (83)  all_58_24 = e0
% 170.24/25.88  | 
% 170.24/25.88  | REDUCE: (46), (82) imply:
% 170.24/25.88  |   (84)   ~ (all_52_9 = e0)
% 170.24/25.88  | 
% 170.24/25.88  | SIMP: (84) implies:
% 170.24/25.88  |   (85)   ~ (all_52_9 = e0)
% 170.24/25.88  | 
% 170.24/25.88  | REDUCE: (59), (82) imply:
% 170.24/25.88  |   (86)   ~ (all_52_11 = e0)
% 170.24/25.88  | 
% 170.24/25.88  | SIMP: (86) implies:
% 170.24/25.88  |   (87)   ~ (all_52_11 = e0)
% 170.24/25.88  | 
% 170.24/25.88  | REDUCE: (4), (82) imply:
% 170.24/25.88  |   (88)   ~ (all_52_12 = e0)
% 170.24/25.88  | 
% 170.24/25.88  | SIMP: (88) implies:
% 170.24/25.88  |   (89)   ~ (all_52_12 = e0)
% 170.24/25.88  | 
% 170.24/25.88  | REDUCE: (60), (82) imply:
% 170.24/25.88  |   (90)   ~ (all_6_2 = e0)
% 170.24/25.88  | 
% 170.24/25.88  | SIMP: (90) implies:
% 170.24/25.88  |   (91)   ~ (all_6_2 = e0)
% 170.24/25.88  | 
% 170.24/25.88  | REDUCE: (37), (82) imply:
% 170.24/25.88  |   (92)  op(e3, e0) = all_58_2
% 170.24/25.88  | 
% 170.24/25.88  | BETA: splitting (1) gives:
% 170.24/25.88  | 
% 170.24/25.88  | Case 1:
% 170.24/25.88  | | 
% 170.24/25.88  | |   (93)  all_56_12 = e0
% 170.24/25.88  | | 
% 170.24/25.88  | | REF_CLOSE: (2), (76), (93) are inconsistent by sub-proof #919.
% 170.24/25.88  | | 
% 170.24/25.88  | Case 2:
% 170.24/25.88  | | 
% 170.24/25.88  | |   (94)  all_56_13 = e0 | all_56_14 = e0
% 170.24/25.89  | | 
% 170.24/25.89  | | BETA: splitting (94) gives:
% 170.24/25.89  | | 
% 170.24/25.89  | | Case 1:
% 170.24/25.89  | | | 
% 170.24/25.89  | | |   (95)  all_56_13 = e0
% 170.24/25.89  | | | 
% 170.24/25.89  | | | COMBINE_EQS: (45), (95) imply:
% 170.24/25.89  | | |   (96)  all_52_7 = e0
% 170.24/25.89  | | | 
% 170.24/25.89  | | | SIMP: (96) implies:
% 170.24/25.89  | | |   (97)  all_52_7 = e0
% 170.24/25.89  | | | 
% 170.24/25.89  | | | COMBINE_EQS: (6), (97) imply:
% 170.24/25.89  | | |   (98)  all_58_23 = e0
% 170.24/25.89  | | | 
% 170.24/25.89  | | | REDUCE: (52), (97) imply:
% 170.24/25.89  | | |   (99)   ~ (all_4_2 = e0)
% 170.24/25.89  | | | 
% 170.24/25.89  | | | SIMP: (99) implies:
% 170.24/25.89  | | |   (100)   ~ (all_4_2 = e0)
% 170.24/25.89  | | | 
% 170.24/25.89  | | | BETA: splitting (54) gives:
% 170.24/25.89  | | | 
% 170.24/25.89  | | | Case 1:
% 170.24/25.89  | | | | 
% 170.24/25.89  | | | |   (101)  all_56_2 = e0
% 170.24/25.89  | | | | 
% 170.24/25.89  | | | | COMBINE_EQS: (47), (101) imply:
% 170.24/25.89  | | | |   (102)  all_52_1 = e0
% 170.24/25.89  | | | | 
% 170.24/25.89  | | | | COMBINE_EQS: (32), (102) imply:
% 170.24/25.89  | | | |   (103)  all_58_17 = e0
% 170.24/25.89  | | | | 
% 170.24/25.89  | | | | REF_CLOSE: (2), (3), (5), (7), (8), (9), (10), (11), (12), (13), (14),
% 170.24/25.89  | | | |            (15), (16), (18), (19), (20), (21), (22), (23), (24), (25),
% 170.24/25.89  | | | |            (26), (27), (28), (29), (30), (31), (33), (34), (35), (36),
% 170.24/25.89  | | | |            (38), (39), (40), (41), (42), (43), (44), (48), (49), (50),
% 170.24/25.89  | | | |            (51), (55), (56), (57), (62), (63), (64), (66), (67), (68),
% 170.24/25.89  | | | |            (69), (70), (71), (72), (73), (74), (75), (76), (77), (78),
% 170.24/25.89  | | | |            (79), (80), (81), (83), (85), (87), (89), (91), (92), (98),
% 170.24/25.89  | | | |            (103) are inconsistent by sub-proof #228.
% 170.24/25.89  | | | | 
% 170.24/25.89  | | | Case 2:
% 170.24/25.89  | | | | 
% 170.24/25.89  | | | |   (104)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.24/25.89  | | | | 
% 170.24/25.89  | | | | REF_CLOSE: (11), (51), (65), (75), (85), (100), (104) are inconsistent
% 170.24/25.89  | | | |            by sub-proof #695.
% 170.24/25.89  | | | | 
% 170.24/25.89  | | | End of split
% 170.24/25.89  | | | 
% 170.24/25.89  | | Case 2:
% 170.24/25.89  | | | 
% 170.24/25.89  | | |   (105)  all_56_14 = e0
% 170.24/25.89  | | | 
% 170.24/25.89  | | | REF_CLOSE: (18), (87), (105) are inconsistent by sub-proof #915.
% 170.24/25.89  | | | 
% 170.24/25.89  | | End of split
% 170.24/25.89  | | 
% 170.24/25.89  | End of split
% 170.24/25.89  | 
% 170.24/25.89  End of proof
% 170.24/25.89  
% 170.24/25.89  Sub-proof #66 shows that the following formulas are inconsistent:
% 170.24/25.89  ----------------------------------------------------------------
% 170.24/25.89    (1)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 170.24/25.89    (2)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 170.24/25.89    (3)  all_58_18 = e0
% 170.24/25.89    (4)   ~ (all_52_1 = all_6_2)
% 170.24/25.89    (5)  all_58_17 = all_52_1
% 170.24/25.89    (6)   ~ (all_6_2 = e3)
% 170.24/25.89    (7)   ~ (all_6_2 = e1)
% 170.24/25.89    (8)  all_58_16 = all_6_2
% 170.24/25.89    (9)   ~ (all_6_2 = e0)
% 170.24/25.89    (10)  all_54_0 = all_6_2
% 170.24/25.89    (11)   ~ (e1 = e0)
% 170.24/25.89  
% 170.24/25.89  Begin of proof
% 170.24/25.89  | 
% 170.24/25.89  | BETA: splitting (1) gives:
% 170.24/25.89  | 
% 170.24/25.89  | Case 1:
% 170.24/25.89  | | 
% 170.24/25.89  | |   (12)  all_54_0 = e0
% 170.24/25.89  | | 
% 170.24/25.89  | | REF_CLOSE: (9), (10), (12) are inconsistent by sub-proof #984.
% 170.24/25.89  | | 
% 170.24/25.89  | Case 2:
% 170.24/25.89  | | 
% 170.24/25.89  | |   (13)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 170.24/25.89  | | 
% 170.24/25.89  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (11), (13) are
% 170.24/25.89  | |            inconsistent by sub-proof #67.
% 170.24/25.89  | | 
% 170.24/25.89  | End of split
% 170.24/25.89  | 
% 170.24/25.89  End of proof
% 170.24/25.89  
% 170.24/25.89  Sub-proof #67 shows that the following formulas are inconsistent:
% 170.24/25.89  ----------------------------------------------------------------
% 170.24/25.89    (1)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 170.24/25.89    (2)  all_58_18 = e0
% 170.24/25.89    (3)   ~ (all_52_1 = all_6_2)
% 170.24/25.89    (4)  all_58_17 = all_52_1
% 170.24/25.89    (5)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 170.24/25.89    (6)   ~ (all_6_2 = e3)
% 170.24/25.89    (7)   ~ (all_6_2 = e1)
% 170.24/25.89    (8)  all_58_16 = all_6_2
% 170.24/25.89    (9)  all_54_0 = all_6_2
% 170.24/25.89    (10)   ~ (e1 = e0)
% 170.24/25.89  
% 170.24/25.89  Begin of proof
% 170.24/25.89  | 
% 170.24/25.89  | BETA: splitting (1) gives:
% 170.24/25.89  | 
% 170.24/25.89  | Case 1:
% 170.24/25.89  | | 
% 170.24/25.89  | |   (11)  all_58_18 = e1
% 170.24/25.89  | | 
% 170.24/25.89  | | COMBINE_EQS: (2), (11) imply:
% 170.24/25.89  | |   (12)  e1 = e0
% 170.24/25.89  | | 
% 170.24/25.89  | | REDUCE: (10), (12) imply:
% 170.24/25.89  | |   (13)  $false
% 170.24/25.89  | | 
% 170.24/25.89  | | CLOSE: (13) is inconsistent.
% 170.24/25.89  | | 
% 170.24/25.89  | Case 2:
% 170.24/25.89  | | 
% 170.24/25.89  | |   (14)  all_58_16 = e3 | all_58_17 = e2
% 170.24/25.89  | | 
% 170.24/25.89  | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (14) are inconsistent by
% 170.24/25.89  | |            sub-proof #104.
% 170.24/25.89  | | 
% 170.24/25.89  | End of split
% 170.24/25.89  | 
% 170.24/25.89  End of proof
% 170.24/25.89  
% 170.24/25.89  Sub-proof #68 shows that the following formulas are inconsistent:
% 170.24/25.89  ----------------------------------------------------------------
% 170.24/25.89    (1)   ~ (all_14_2 = e1)
% 170.24/25.89    (2)  all_56_15 = all_14_2
% 170.24/25.89    (3)  all_56_14 = e1 | all_56_15 = e1
% 170.24/25.89    (4)  all_56_14 = e1
% 170.24/25.89    (5)  all_58_27 = e1
% 170.24/25.89    (6)  all_58_27 = e0
% 170.24/25.89    (7)   ~ (e1 = e0)
% 170.24/25.89  
% 170.24/25.89  Begin of proof
% 170.24/25.89  | 
% 170.24/25.89  | COMBINE_EQS: (5), (6) imply:
% 170.24/25.89  |   (8)  e1 = e0
% 170.24/25.89  | 
% 170.24/25.89  | COMBINE_EQS: (4), (8) imply:
% 170.24/25.89  |   (9)  all_56_14 = e0
% 170.24/25.89  | 
% 170.24/25.89  | REF_CLOSE: (1), (2), (3), (7), (9) are inconsistent by sub-proof #875.
% 170.24/25.89  | 
% 170.24/25.89  End of proof
% 170.24/25.89  
% 170.24/25.89  Sub-proof #69 shows that the following formulas are inconsistent:
% 170.24/25.89  ----------------------------------------------------------------
% 170.24/25.89    (1)  all_58_25 = e1
% 170.24/25.89    (2)  all_58_26 = all_10_2
% 170.24/25.89    (3)   ~ (all_10_2 = e1)
% 170.24/25.89    (4)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 170.24/25.89    (5)   ~ (e2 = e1)
% 170.24/25.89    (6)   ~ (e3 = e0)
% 170.24/25.89    (7)  all_58_24 = e0
% 170.24/25.89  
% 170.24/25.89  Begin of proof
% 170.24/25.89  | 
% 170.24/25.89  | BETA: splitting (4) gives:
% 170.24/25.89  | 
% 170.24/25.89  | Case 1:
% 170.24/25.89  | | 
% 170.24/25.89  | |   (8)  all_58_26 = e1
% 170.24/25.89  | | 
% 170.24/25.89  | | COMBINE_EQS: (2), (8) imply:
% 170.24/25.89  | |   (9)  all_10_2 = e1
% 170.24/25.89  | | 
% 170.24/25.89  | | REDUCE: (3), (9) imply:
% 170.24/25.89  | |   (10)  $false
% 170.24/25.89  | | 
% 170.24/25.89  | | CLOSE: (10) is inconsistent.
% 170.24/25.89  | | 
% 170.24/25.89  | Case 2:
% 170.24/25.89  | | 
% 170.24/25.89  | |   (11)  all_58_24 = e3 | all_58_25 = e2
% 170.24/25.89  | | 
% 170.24/25.89  | | REF_CLOSE: (1), (5), (6), (7), (11) are inconsistent by sub-proof #789.
% 170.24/25.89  | | 
% 170.24/25.89  | End of split
% 170.24/25.89  | 
% 170.24/25.89  End of proof
% 170.24/25.89  
% 170.24/25.89  Sub-proof #70 shows that the following formulas are inconsistent:
% 170.24/25.89  ----------------------------------------------------------------
% 170.24/25.89    (1)  all_58_29 = all_52_13
% 170.24/25.89    (2)  all_58_29 = e0
% 170.24/25.89    (3)   ~ (all_52_13 = e0)
% 170.24/25.89  
% 170.24/25.89  Begin of proof
% 170.24/25.89  | 
% 170.24/25.89  | COMBINE_EQS: (1), (2) imply:
% 170.24/25.89  |   (4)  all_52_13 = e0
% 170.24/25.89  | 
% 170.24/25.89  | SIMP: (4) implies:
% 170.24/25.89  |   (5)  all_52_13 = e0
% 170.24/25.89  | 
% 170.24/25.89  | REDUCE: (3), (5) imply:
% 170.24/25.89  |   (6)  $false
% 170.24/25.89  | 
% 170.24/25.89  | CLOSE: (6) is inconsistent.
% 170.24/25.89  | 
% 170.24/25.89  End of proof
% 170.24/25.89  
% 170.24/25.89  Sub-proof #71 shows that the following formulas are inconsistent:
% 170.24/25.89  ----------------------------------------------------------------
% 170.24/25.89    (1)   ~ (all_14_2 = e1)
% 170.24/25.89    (2)  all_56_15 = all_14_2
% 170.24/25.89    (3)  all_58_25 = e1
% 170.24/25.89    (4)  all_58_25 = e0
% 170.24/25.89    (5)  all_56_14 = e1 | all_56_15 = e1
% 170.24/25.89    (6)  all_56_14 = e1
% 170.24/25.89    (7)   ~ (e1 = e0)
% 170.24/25.89  
% 170.24/25.89  Begin of proof
% 170.24/25.89  | 
% 170.24/25.89  | COMBINE_EQS: (3), (4) imply:
% 170.24/25.89  |   (8)  e1 = e0
% 170.24/25.89  | 
% 170.24/25.89  | COMBINE_EQS: (6), (8) imply:
% 170.24/25.89  |   (9)  all_56_14 = e0
% 170.24/25.89  | 
% 170.24/25.89  | REF_CLOSE: (1), (2), (5), (7), (9) are inconsistent by sub-proof #875.
% 170.24/25.89  | 
% 170.24/25.89  End of proof
% 170.24/25.89  
% 170.24/25.89  Sub-proof #72 shows that the following formulas are inconsistent:
% 170.24/25.89  ----------------------------------------------------------------
% 170.24/25.89    (1)   ~ (all_10_2 = e0)
% 170.24/25.89    (2)   ~ (e3 = e1)
% 170.24/25.89    (3)  all_58_24 = e3
% 170.24/25.89    (4)  op(e1, all_10_2) = all_58_10
% 170.24/25.89    (5)  op(e1, e1) = all_10_2
% 170.24/25.89    (6)  all_58_26 = all_10_2
% 170.24/25.89    (7)  all_58_17 = all_52_1
% 170.24/25.89    (8)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 170.24/25.89    (9)  all_58_16 = e1
% 170.24/25.89    (10)   ~ (e3 = e0)
% 170.24/25.89    (11)  e3 = e0
% 170.24/25.89    (12)  op(all_10_2, e1) = e0
% 170.24/25.89    (13)   ~ (all_52_1 = all_52_9)
% 170.24/25.89    (14)  all_58_25 = all_52_9
% 170.24/25.89    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.24/25.89            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.24/25.89    (16)  all_58_16 = e3 | all_58_17 = e2
% 170.24/25.89  
% 170.24/25.89  Begin of proof
% 170.24/25.89  | 
% 170.24/25.89  | COMBINE_EQS: (3), (11) imply:
% 170.24/25.89  |   (17)  all_58_24 = e0
% 170.24/25.89  | 
% 170.24/25.89  | BETA: splitting (16) gives:
% 170.24/25.89  | 
% 170.24/25.89  | Case 1:
% 170.24/25.89  | | 
% 170.24/25.89  | |   (18)  all_58_17 = e2
% 170.24/25.89  | | 
% 170.24/25.89  | | COMBINE_EQS: (7), (18) imply:
% 170.24/25.89  | |   (19)  all_52_1 = e2
% 170.24/25.89  | | 
% 170.24/25.89  | | SIMP: (19) implies:
% 170.24/25.89  | |   (20)  all_52_1 = e2
% 170.24/25.89  | | 
% 170.24/25.89  | | REDUCE: (13), (20) imply:
% 170.24/25.89  | |   (21)   ~ (all_52_9 = e2)
% 170.24/25.89  | | 
% 170.24/25.89  | | SIMP: (21) implies:
% 170.24/25.89  | |   (22)   ~ (all_52_9 = e2)
% 170.24/25.89  | | 
% 170.24/25.89  | | REF_CLOSE: (1), (4), (5), (6), (8), (10), (12), (14), (15), (17), (22) are
% 170.24/25.89  | |            inconsistent by sub-proof #377.
% 170.24/25.89  | | 
% 170.24/25.89  | Case 2:
% 170.24/25.89  | | 
% 170.24/25.89  | |   (23)  all_58_16 = e3
% 170.24/25.89  | | 
% 170.24/25.89  | | COMBINE_EQS: (9), (23) imply:
% 170.24/25.89  | |   (24)  e3 = e1
% 170.24/25.89  | | 
% 170.24/25.89  | | REDUCE: (2), (24) imply:
% 170.24/25.89  | |   (25)  $false
% 170.24/25.89  | | 
% 170.24/25.89  | | CLOSE: (25) is inconsistent.
% 170.24/25.89  | | 
% 170.24/25.89  | End of split
% 170.24/25.89  | 
% 170.24/25.89  End of proof
% 170.24/25.89  
% 170.24/25.89  Sub-proof #73 shows that the following formulas are inconsistent:
% 170.24/25.89  ----------------------------------------------------------------
% 170.24/25.89    (1)   ~ (all_52_12 = all_14_2)
% 170.24/25.89    (2)  all_56_1 = all_52_4
% 170.24/25.89    (3)  all_56_12 = all_52_3
% 170.24/25.89    (4)  op(e1, all_52_14) = all_58_11
% 170.24/25.89    (5)   ~ (all_10_2 = e0)
% 170.24/25.89    (6)   ~ (all_52_8 = all_52_12)
% 170.24/25.89    (7)   ~ (all_52_2 = all_6_2)
% 170.24/25.89    (8)   ~ (all_52_4 = all_4_2)
% 170.24/25.89    (9)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.24/25.89    (10)  all_54_3 = all_52_12
% 170.24/25.89    (11)  all_56_5 = all_52_9
% 170.24/25.89    (12)   ~ (all_52_3 = all_52_11)
% 170.24/25.89    (13)  op(all_6_2, e3) = all_6_1
% 170.24/25.89    (14)  op(e2, e0) = all_52_13
% 170.24/25.89    (15)  op(e3, all_6_2) = all_58_0
% 170.24/25.89    (16)  op(e1, e0) = all_52_14
% 170.24/25.89    (17)  all_54_1 = all_52_4
% 170.24/25.89    (18)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 170.24/25.89    (19)  all_56_14 = all_52_11
% 170.24/25.89    (20)  all_56_8 = all_10_2
% 170.24/25.89    (21)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.24/25.89    (22)  all_58_26 = all_10_2
% 170.24/25.89    (23)   ~ (all_52_4 = all_52_6)
% 170.24/25.89    (24)  all_58_31 = all_14_2
% 170.24/25.89    (25)   ~ (all_52_11 = all_10_2)
% 170.24/25.89    (26)   ~ (all_52_9 = all_52_13)
% 170.24/25.89    (27)   ~ (all_52_3 = all_6_2)
% 170.24/25.89    (28)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 170.24/25.89    (29)   ~ (all_52_1 = all_6_2)
% 170.24/25.89    (30)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 170.24/25.89    (31)  all_56_11 = all_52_14
% 170.24/25.89    (32)  all_56_0 = all_6_2
% 170.24/25.89    (33)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 170.24/25.89    (34)  all_58_30 = all_52_14
% 170.24/25.89    (35)  all_58_27 = all_52_11
% 170.24/25.89    (36)  all_54_14 = all_52_11
% 170.24/25.89    (37)  all_58_17 = all_52_1
% 170.24/25.89    (38)  all_58_19 = all_52_3
% 170.24/25.89    (39)  all_56_9 = all_52_12
% 170.24/25.89    (40)   ~ (all_52_2 = all_52_6)
% 170.24/25.89    (41)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 170.24/25.89    (42)   ~ (e3 = e2)
% 170.24/25.89    (43)   ~ (e2 = e1)
% 170.24/25.89    (44)   ~ (all_52_6 = all_10_2)
% 170.24/25.89    (45)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 170.24/25.89    (46)   ~ (all_52_13 = all_14_2)
% 170.24/25.89    (47)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 170.24/25.89    (48)  all_54_9 = all_52_6
% 170.24/25.89    (49)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.24/25.89    (50)   ~ (all_52_13 = all_52_14)
% 170.24/25.89    (51)  all_58_18 = all_52_2
% 170.24/25.89    (52)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.24/25.89    (53)  all_58_16 = all_6_2
% 170.24/25.89    (54)  op(e0, e3) = all_52_3
% 170.24/25.89    (55)   ~ (all_52_4 = all_6_2)
% 170.24/25.89    (56)  all_56_2 = all_52_1
% 170.24/25.89    (57)   ~ (e3 = e0)
% 170.24/25.89    (58)  op(e3, e0) = all_52_12
% 170.24/25.89    (59)  all_58_29 = all_52_13
% 170.24/25.89    (60)   ~ (all_52_1 = all_52_2)
% 170.24/25.89    (61)   ~ (all_4_2 = e0)
% 170.24/25.89    (62)   ~ (all_52_6 = all_52_14)
% 170.24/25.89    (63)  all_56_4 = all_52_8
% 170.24/25.89    (64)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.24/25.89    (65)   ~ (all_52_1 = all_52_13)
% 170.24/25.89    (66)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 170.24/25.89    (67)  all_58_20 = all_52_4
% 170.24/25.89    (68)  all_54_15 = all_14_2
% 170.24/25.89    (69)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.24/25.89    (70)   ~ (all_52_8 = all_52_11)
% 170.24/25.89    (71)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 170.24/25.89    (72)  all_56_6 = all_52_2
% 170.24/25.89    (73)  all_58_13 = all_14_2
% 170.24/25.89    (74)   ~ (all_52_1 = all_52_9)
% 170.24/25.89    (75)  all_58_24 = all_52_8
% 170.24/25.89    (76)   ~ (all_52_12 = all_52_14)
% 170.24/25.89    (77)   ~ (all_52_9 = all_52_11)
% 170.24/25.89    (78)  all_58_22 = all_52_6
% 170.24/25.89    (79)   ~ (all_52_4 = all_52_12)
% 170.24/25.89    (80)  all_56_3 = all_4_2
% 170.24/25.89    (81)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 170.24/25.89    (82)   ~ (all_52_14 = all_14_2)
% 170.24/25.89    (83)  all_58_25 = all_52_9
% 170.24/25.89    (84)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 170.24/25.89    (85)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.24/25.89            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.24/25.89    (86)   ~ (all_52_6 = e0)
% 170.24/25.89    (87)   ~ (all_52_2 = all_52_14)
% 170.24/25.89    (88)  all_58_21 = all_4_2
% 170.24/25.89    (89)  all_56_10 = all_52_13
% 170.24/25.89    (90)  op(e2, all_52_9) = all_58_6
% 170.24/25.89    (91)  all_56_0 = e0
% 170.24/25.89    (92)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 170.24/25.89    (93)   ~ (e2 = e0)
% 170.24/25.89    (94)   ~ (all_52_1 = all_52_3)
% 170.24/25.89    (95)  all_58_28 = all_52_12
% 170.24/25.89    (96)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 170.24/25.89    (97)   ~ (e1 = e0)
% 170.24/25.89    (98)  all_54_4 = all_52_1
% 170.24/25.89    (99)  all_56_7 = all_52_6
% 170.24/25.89    (100)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 170.24/25.89             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 170.24/25.89             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 170.24/25.89             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 170.24/25.89             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 170.24/25.89             (all_58_15 = e0))
% 170.24/25.89    (101)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 170.24/25.89    (102)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.24/25.89           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.24/25.89           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.24/25.89           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.24/25.89           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.24/25.89           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.24/25.89           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.24/25.89           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.24/25.89           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.24/25.89           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.24/25.89             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.24/25.89             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.24/25.89             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.24/25.89             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.24/25.89             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.24/25.89             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.24/25.89             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.24/25.89             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.24/25.89             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.24/25.89             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.24/25.89             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.24/25.89             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.24/25.89             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.24/25.89             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.24/25.89             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.24/25.89             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.24/25.89           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.24/25.89           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.24/25.89           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.24/25.89             all_58_30 = e0 & e1 = e0)
% 170.24/25.89    (103)  all_54_7 = all_52_13
% 170.24/25.89    (104)  all_58_23 = e0
% 170.24/25.89    (105)   ~ (all_52_2 = all_10_2)
% 170.24/25.89    (106)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 170.24/25.89    (107)   ~ (all_52_12 = all_52_13)
% 170.24/25.89  
% 170.24/25.89  Begin of proof
% 170.24/25.89  | 
% 170.24/25.89  | COMBINE_EQS: (32), (91) imply:
% 170.24/25.89  |   (108)  all_6_2 = e0
% 170.24/25.89  | 
% 170.24/25.89  | COMBINE_EQS: (53), (108) imply:
% 170.24/25.89  |   (109)  all_58_16 = e0
% 170.24/25.89  | 
% 170.24/25.89  | REDUCE: (29), (108) imply:
% 170.24/25.89  |   (110)   ~ (all_52_1 = e0)
% 170.24/25.89  | 
% 170.24/25.89  | REDUCE: (7), (108) imply:
% 170.24/25.89  |   (111)   ~ (all_52_2 = e0)
% 170.24/25.89  | 
% 170.24/25.89  | REDUCE: (27), (108) imply:
% 170.24/25.89  |   (112)   ~ (all_52_3 = e0)
% 170.24/25.89  | 
% 170.24/25.89  | REDUCE: (55), (108) imply:
% 170.24/25.89  |   (113)   ~ (all_52_4 = e0)
% 170.24/25.89  | 
% 170.24/25.89  | REDUCE: (13), (108) imply:
% 170.24/25.89  |   (114)  op(e0, e3) = all_6_1
% 170.24/25.89  | 
% 170.24/25.89  | REDUCE: (15), (108) imply:
% 170.24/25.89  |   (115)  op(e3, e0) = all_58_0
% 170.24/25.89  | 
% 170.24/25.89  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (14),
% 170.24/25.89  |            (16), (17), (18), (19), (20), (21), (22), (23), (24), (25), (26),
% 170.24/25.89  |            (28), (30), (31), (33), (34), (35), (36), (37), (38), (39), (40),
% 170.24/25.89  |            (41), (42), (43), (44), (45), (46), (47), (48), (49), (50), (51),
% 170.24/25.89  |            (52), (54), (56), (57), (58), (59), (60), (61), (62), (63), (64),
% 170.24/25.89  |            (65), (66), (67), (68), (69), (70), (71), (72), (73), (74), (75),
% 170.24/25.89  |            (76), (77), (78), (79), (80), (81), (82), (83), (84), (85), (86),
% 170.24/25.89  |            (87), (88), (89), (90), (91), (92), (93), (94), (95), (96), (97),
% 170.24/25.89  |            (98), (99), (100), (101), (102), (103), (104), (105), (106), (107),
% 170.24/25.89  |            (109), (110), (111), (112), (113), (114), (115) are inconsistent by
% 170.24/25.89  |            sub-proof #74.
% 170.24/25.89  | 
% 170.24/25.89  End of proof
% 170.24/25.89  
% 170.24/25.89  Sub-proof #74 shows that the following formulas are inconsistent:
% 170.24/25.89  ----------------------------------------------------------------
% 170.24/25.89    (1)   ~ (all_52_12 = all_14_2)
% 170.24/25.89    (2)  all_56_1 = all_52_4
% 170.24/25.89    (3)  all_56_12 = all_52_3
% 170.24/25.89    (4)  op(e1, all_52_14) = all_58_11
% 170.24/25.89    (5)   ~ (all_10_2 = e0)
% 170.24/25.89    (6)   ~ (all_52_8 = all_52_12)
% 170.24/25.89    (7)   ~ (all_52_4 = all_4_2)
% 170.24/25.89    (8)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.24/25.89    (9)  all_54_3 = all_52_12
% 170.24/25.89    (10)  all_56_5 = all_52_9
% 170.24/25.89    (11)   ~ (all_52_3 = all_52_11)
% 170.24/25.89    (12)  op(e2, e0) = all_52_13
% 170.24/25.89    (13)  op(e1, e0) = all_52_14
% 170.24/25.89    (14)  all_54_1 = all_52_4
% 170.24/25.89    (15)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 170.24/25.89    (16)  all_56_14 = all_52_11
% 170.24/25.89    (17)  all_56_8 = all_10_2
% 170.24/25.89    (18)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.24/25.89    (19)  all_58_26 = all_10_2
% 170.24/25.89    (20)   ~ (all_52_4 = all_52_6)
% 170.24/25.89    (21)  all_58_31 = all_14_2
% 170.24/25.89    (22)   ~ (all_52_11 = all_10_2)
% 170.24/25.89    (23)   ~ (all_52_9 = all_52_13)
% 170.24/25.89    (24)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 170.24/25.89    (25)   ~ (all_52_4 = e0)
% 170.24/25.89    (26)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 170.24/25.89    (27)  all_56_11 = all_52_14
% 170.24/25.89    (28)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 170.24/25.89    (29)  all_58_30 = all_52_14
% 170.24/25.89    (30)  all_58_27 = all_52_11
% 170.24/25.89    (31)  all_54_14 = all_52_11
% 170.24/25.89    (32)  all_58_17 = all_52_1
% 170.24/25.89    (33)  all_58_19 = all_52_3
% 170.24/25.89    (34)  all_56_9 = all_52_12
% 170.24/25.89    (35)   ~ (all_52_2 = all_52_6)
% 170.24/25.89    (36)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 170.24/25.89    (37)   ~ (e3 = e2)
% 170.24/25.89    (38)   ~ (e2 = e1)
% 170.24/25.89    (39)   ~ (all_52_6 = all_10_2)
% 170.24/25.89    (40)  op(e3, e0) = all_58_0
% 170.24/25.89    (41)   ~ (all_52_2 = e0)
% 170.24/25.89    (42)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 170.24/25.89    (43)   ~ (all_52_13 = all_14_2)
% 170.24/25.89    (44)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 170.24/25.89    (45)  all_54_9 = all_52_6
% 170.24/25.89    (46)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.24/25.89    (47)   ~ (all_52_13 = all_52_14)
% 170.24/25.89    (48)  all_58_18 = all_52_2
% 170.24/25.89    (49)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.24/25.89    (50)  all_58_16 = e0
% 170.24/25.89    (51)  op(e0, e3) = all_52_3
% 170.24/25.89    (52)  all_56_2 = all_52_1
% 170.24/25.89    (53)  op(e0, e3) = all_6_1
% 170.24/25.89    (54)   ~ (e3 = e0)
% 170.24/25.89    (55)  op(e3, e0) = all_52_12
% 170.24/25.89    (56)  all_58_29 = all_52_13
% 170.24/25.89    (57)   ~ (all_52_1 = all_52_2)
% 170.24/25.89    (58)   ~ (all_4_2 = e0)
% 170.24/25.89    (59)   ~ (all_52_6 = all_52_14)
% 170.24/25.89    (60)  all_56_4 = all_52_8
% 170.24/25.89    (61)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.24/25.89    (62)   ~ (all_52_1 = all_52_13)
% 170.24/25.89    (63)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 170.24/25.89    (64)  all_58_20 = all_52_4
% 170.24/25.89    (65)  all_54_15 = all_14_2
% 170.24/25.89    (66)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.24/25.89    (67)   ~ (all_52_8 = all_52_11)
% 170.24/25.89    (68)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 170.24/25.89    (69)  all_56_6 = all_52_2
% 170.24/25.89    (70)  all_58_13 = all_14_2
% 170.24/25.89    (71)   ~ (all_52_1 = all_52_9)
% 170.24/25.89    (72)  all_58_24 = all_52_8
% 170.24/25.89    (73)   ~ (all_52_12 = all_52_14)
% 170.24/25.89    (74)   ~ (all_52_9 = all_52_11)
% 170.24/25.89    (75)  all_58_22 = all_52_6
% 170.24/25.89    (76)   ~ (all_52_4 = all_52_12)
% 170.24/25.89    (77)  all_56_3 = all_4_2
% 170.24/25.89    (78)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 170.24/25.89    (79)   ~ (all_52_1 = e0)
% 170.24/25.89    (80)   ~ (all_52_14 = all_14_2)
% 170.24/25.89    (81)  all_58_25 = all_52_9
% 170.24/25.89    (82)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 170.24/25.89    (83)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.24/25.89            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.24/25.89    (84)   ~ (all_52_6 = e0)
% 170.24/25.89    (85)   ~ (all_52_2 = all_52_14)
% 170.24/25.89    (86)  all_58_21 = all_4_2
% 170.24/25.89    (87)  all_56_10 = all_52_13
% 170.24/25.89    (88)   ~ (all_52_3 = e0)
% 170.24/25.89    (89)  op(e2, all_52_9) = all_58_6
% 170.24/25.89    (90)  all_56_0 = e0
% 170.24/25.89    (91)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 170.24/25.89    (92)   ~ (e2 = e0)
% 170.24/25.89    (93)   ~ (all_52_1 = all_52_3)
% 170.24/25.89    (94)  all_58_28 = all_52_12
% 170.24/25.89    (95)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 170.24/25.89    (96)   ~ (e1 = e0)
% 170.24/25.89    (97)  all_54_4 = all_52_1
% 170.24/25.89    (98)  all_56_7 = all_52_6
% 170.24/25.89    (99)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 170.24/25.89            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 170.24/25.89            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 170.24/25.89            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 170.24/25.89            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 170.24/25.89            (all_58_15 = e0))
% 170.24/25.89    (100)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 170.24/25.90    (101)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.24/25.90           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.24/25.90           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.24/25.90           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.24/25.90           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.24/25.90           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.24/25.90           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.24/25.90           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.24/25.90           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.24/25.90           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.24/25.90             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.24/25.90             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.24/25.90             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.24/25.90             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.24/25.90             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.24/25.90             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.24/25.90             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.24/25.90             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.24/25.90             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.24/25.90             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.24/25.90             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.24/25.90             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.24/25.90             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.24/25.90             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.24/25.90             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.24/25.90             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.24/25.90           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.24/25.90           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.24/25.90           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.24/25.90             all_58_30 = e0 & e1 = e0)
% 170.24/25.90    (102)  all_54_7 = all_52_13
% 170.24/25.90    (103)  all_58_23 = e0
% 170.24/25.90    (104)   ~ (all_52_2 = all_10_2)
% 170.24/25.90    (105)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 170.24/25.90    (106)   ~ (all_52_12 = all_52_13)
% 170.24/25.90  
% 170.24/25.90  Begin of proof
% 170.24/25.90  | 
% 170.24/25.90  | BETA: splitting (66) gives:
% 170.24/25.90  | 
% 170.24/25.90  | Case 1:
% 170.24/25.90  | | 
% 170.24/25.90  | |   (107)  all_56_6 = e0
% 170.24/25.90  | | 
% 170.24/25.90  | | COMBINE_EQS: (69), (107) imply:
% 170.24/25.90  | |   (108)  all_52_2 = e0
% 170.24/25.90  | | 
% 170.24/25.90  | | REDUCE: (41), (108) imply:
% 170.24/25.90  | |   (109)  $false
% 170.24/25.90  | | 
% 170.24/25.90  | | CLOSE: (109) is inconsistent.
% 170.24/25.90  | | 
% 170.24/25.90  | Case 2:
% 170.24/25.90  | | 
% 170.24/25.90  | |   (110)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.24/25.90  | | 
% 170.24/25.90  | | BETA: splitting (110) gives:
% 170.24/25.90  | | 
% 170.24/25.90  | | Case 1:
% 170.24/25.90  | | | 
% 170.24/25.90  | | |   (111)  all_56_7 = e0
% 170.24/25.90  | | | 
% 170.24/25.90  | | | COMBINE_EQS: (98), (111) imply:
% 170.24/25.90  | | |   (112)  all_52_6 = e0
% 170.24/25.90  | | | 
% 170.24/25.90  | | | REDUCE: (84), (112) imply:
% 170.24/25.90  | | |   (113)  $false
% 170.24/25.90  | | | 
% 170.24/25.90  | | | CLOSE: (113) is inconsistent.
% 170.24/25.90  | | | 
% 170.24/25.90  | | Case 2:
% 170.24/25.90  | | | 
% 170.24/25.90  | | |   (114)  all_56_8 = e0 | all_56_11 = e0
% 170.24/25.90  | | | 
% 170.24/25.90  | | | BETA: splitting (114) gives:
% 170.24/25.90  | | | 
% 170.24/25.90  | | | Case 1:
% 170.24/25.90  | | | | 
% 170.24/25.90  | | | |   (115)  all_56_8 = e0
% 170.24/25.90  | | | | 
% 170.24/25.90  | | | | COMBINE_EQS: (17), (115) imply:
% 170.24/25.90  | | | |   (116)  all_10_2 = e0
% 170.24/25.90  | | | | 
% 170.24/25.90  | | | | REDUCE: (5), (116) imply:
% 170.24/25.90  | | | |   (117)  $false
% 170.24/25.90  | | | | 
% 170.24/25.90  | | | | CLOSE: (117) is inconsistent.
% 170.24/25.90  | | | | 
% 170.24/25.90  | | | Case 2:
% 170.24/25.90  | | | | 
% 170.24/25.90  | | | |   (118)  all_56_11 = e0
% 170.24/25.90  | | | | 
% 170.24/25.90  | | | | COMBINE_EQS: (27), (118) imply:
% 170.24/25.90  | | | |   (119)  all_52_14 = e0
% 170.24/25.90  | | | | 
% 170.24/25.90  | | | | SIMP: (119) implies:
% 170.24/25.90  | | | |   (120)  all_52_14 = e0
% 170.24/25.90  | | | | 
% 170.24/25.90  | | | | COMBINE_EQS: (29), (120) imply:
% 170.24/25.90  | | | |   (121)  all_58_30 = e0
% 170.24/25.90  | | | | 
% 170.24/25.90  | | | | REDUCE: (73), (120) imply:
% 170.24/25.90  | | | |   (122)   ~ (all_52_12 = e0)
% 170.24/25.90  | | | | 
% 170.24/25.90  | | | | REDUCE: (47), (120) imply:
% 170.24/25.90  | | | |   (123)   ~ (all_52_13 = e0)
% 170.24/25.90  | | | | 
% 170.24/25.90  | | | | REDUCE: (80), (120) imply:
% 170.24/25.90  | | | |   (124)   ~ (all_14_2 = e0)
% 170.24/25.90  | | | | 
% 170.24/25.90  | | | | SIMP: (124) implies:
% 170.24/25.90  | | | |   (125)   ~ (all_14_2 = e0)
% 170.24/25.90  | | | | 
% 170.24/25.90  | | | | REDUCE: (4), (120) imply:
% 170.24/25.90  | | | |   (126)  op(e1, e0) = all_58_11
% 170.24/25.90  | | | | 
% 170.24/25.90  | | | | REDUCE: (13), (120) imply:
% 170.24/25.90  | | | |   (127)  op(e1, e0) = e0
% 170.24/25.90  | | | | 
% 170.24/25.90  | | | | GROUND_INST: instantiating (83) with e0, all_58_11, e0, e1, simplifying
% 170.24/25.90  | | | |              with (126), (127) gives:
% 170.24/25.90  | | | |   (128)  all_58_11 = e0
% 170.24/25.90  | | | | 
% 170.24/25.90  | | | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (9), (10), (11), (12), (14),
% 170.24/25.90  | | | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 170.24/25.90  | | | |            (25), (26), (28), (30), (31), (32), (33), (34), (35), (36),
% 170.24/25.90  | | | |            (37), (38), (39), (40), (41), (42), (43), (44), (45), (46),
% 170.24/25.90  | | | |            (48), (49), (50), (51), (52), (53), (54), (55), (56), (57),
% 170.24/25.90  | | | |            (58), (60), (61), (62), (63), (64), (65), (67), (68), (69),
% 170.24/25.90  | | | |            (70), (71), (72), (74), (75), (76), (77), (78), (79), (81),
% 170.24/25.90  | | | |            (82), (83), (84), (86), (87), (88), (89), (90), (91), (92),
% 170.24/25.90  | | | |            (93), (94), (95), (96), (97), (98), (99), (100), (101),
% 170.24/25.90  | | | |            (102), (103), (104), (105), (106), (121), (122), (123),
% 170.24/25.90  | | | |            (125), (128) are inconsistent by sub-proof #151.
% 170.24/25.90  | | | | 
% 170.24/25.90  | | | End of split
% 170.24/25.90  | | | 
% 170.24/25.90  | | End of split
% 170.24/25.90  | | 
% 170.24/25.90  | End of split
% 170.24/25.90  | 
% 170.24/25.90  End of proof
% 170.24/25.90  
% 170.24/25.90  Sub-proof #75 shows that the following formulas are inconsistent:
% 170.24/25.90  ----------------------------------------------------------------
% 170.24/25.90    (1)   ~ (all_52_12 = all_14_2)
% 170.24/25.90    (2)  all_54_8 = all_52_2
% 170.24/25.90    (3)  all_56_1 = all_52_4
% 170.24/25.90    (4)  op(all_4_2, e2) = e0
% 170.24/25.90    (5)   ~ (all_6_0 = e0)
% 170.24/25.90    (6)  all_56_12 = all_52_3
% 170.24/25.90    (7)  op(e1, e3) = all_52_2
% 170.24/25.90    (8)   ~ (all_10_2 = e0)
% 170.24/25.90    (9)   ~ (all_52_8 = all_52_12)
% 170.24/25.90    (10)   ~ (e3 = e1)
% 170.24/25.90    (11)  all_58_23 = all_52_7
% 170.24/25.90    (12)   ~ (all_52_2 = all_6_2)
% 170.24/25.90    (13)   ~ (all_52_4 = all_4_2)
% 170.24/25.90    (14)  all_54_3 = all_52_12
% 170.24/25.90    (15)  all_56_5 = all_52_9
% 170.24/25.90    (16)   ~ (all_52_3 = all_52_11)
% 170.24/25.90    (17)  op(all_6_2, e3) = all_6_1
% 170.24/25.90    (18)   ~ (all_52_12 = all_6_2)
% 170.24/25.90    (19)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 170.24/25.90    (20)  all_54_12 = e0
% 170.24/25.90    (21)   ~ (all_52_6 = all_4_2)
% 170.24/25.90    (22)  all_56_15 = all_14_2
% 170.24/25.90    (23)   ~ (all_52_11 = all_14_2)
% 170.24/25.90    (24)  op(e0, e2) = all_52_7
% 170.24/25.90    (25)  all_54_1 = all_52_4
% 170.24/25.90    (26)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 170.24/25.90    (27)   ~ (all_52_9 = all_4_2)
% 170.24/25.90    (28)   ~ (all_52_3 = all_52_7)
% 170.24/25.90    (29)  all_56_14 = all_52_11
% 170.24/25.90    (30)   ~ (all_52_13 = all_4_2)
% 170.24/25.90    (31)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.24/25.90    (32)  all_56_8 = all_10_2
% 170.24/25.90    (33)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.24/25.90    (34)  all_58_26 = all_10_2
% 170.24/25.90    (35)   ~ (all_52_4 = all_52_6)
% 170.24/25.90    (36)  all_58_31 = all_14_2
% 170.24/25.90    (37)   ~ (all_52_11 = all_10_2)
% 170.24/25.90    (38)   ~ (all_52_9 = all_52_13)
% 170.24/25.90    (39)   ~ (all_52_3 = all_6_2)
% 170.24/25.90    (40)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 170.24/25.90    (41)  op(all_6_1, all_6_2) = all_6_0
% 170.24/25.90    (42)   ~ (all_52_1 = all_6_2)
% 170.24/25.90    (43)  all_54_2 = all_52_8
% 170.24/25.90    (44)  all_56_11 = all_52_14
% 170.24/25.90    (45)  op(e2, e1) = all_52_9
% 170.24/25.90    (46)   ~ (all_52_6 = all_52_7)
% 170.24/25.90    (47)  all_56_0 = all_6_2
% 170.24/25.90    (48)   ~ (all_52_9 = all_10_2)
% 170.24/25.90    (49)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 170.24/25.90    (50)  all_58_30 = all_52_14
% 170.24/25.90    (51)  all_58_27 = all_52_11
% 170.24/25.90    (52)  all_54_14 = all_52_11
% 170.24/25.90    (53)  all_58_17 = all_52_1
% 170.24/25.90    (54)  all_58_19 = all_52_3
% 170.24/25.90    (55)  all_56_9 = all_52_12
% 170.24/25.90    (56)   ~ (all_52_2 = all_52_6)
% 170.24/25.90    (57)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 170.24/25.90    (58)   ~ (e3 = e2)
% 170.24/25.90    (59)   ~ (all_52_4 = all_52_7)
% 170.24/25.90    (60)   ~ (e2 = e1)
% 170.24/25.90    (61)   ~ (all_52_6 = all_10_2)
% 170.24/25.90    (62)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 170.24/25.90    (63)   ~ (all_52_7 = all_14_2)
% 170.24/25.90    (64)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 170.24/25.90    (65)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 170.24/25.90    (66)   ~ (all_52_13 = all_14_2)
% 170.24/25.90    (67)   ~ (all_52_1 = all_4_2)
% 170.24/25.90    (68)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.24/25.90    (69)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 170.24/25.90    (70)  all_54_9 = all_52_6
% 170.24/25.90    (71)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.24/25.90    (72)   ~ (all_52_13 = all_52_14)
% 170.24/25.90    (73)  op(e2, e3) = all_52_1
% 170.24/25.90    (74)  all_58_18 = all_52_2
% 170.24/25.90    (75)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.24/25.90    (76)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 170.24/25.90    (77)  all_58_16 = all_6_2
% 170.24/25.90    (78)  all_56_13 = all_52_7
% 170.24/25.90    (79)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 170.24/25.90    (80)   ~ (all_52_8 = all_52_9)
% 170.24/25.90    (81)   ~ (all_52_4 = all_6_2)
% 170.24/25.90    (82)  all_56_2 = all_52_1
% 170.24/25.90    (83)   ~ (e3 = e0)
% 170.24/25.90    (84)  all_58_29 = all_52_13
% 170.24/25.90    (85)   ~ (all_52_1 = all_52_2)
% 170.24/25.90    (86)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 170.24/25.90    (87)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 170.24/25.90    (88)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 170.24/25.90    (89)   ~ (all_52_6 = all_52_14)
% 170.24/25.90    (90)   ~ (all_52_7 = all_4_2)
% 170.24/25.90    (91)   ~ (all_52_8 = all_10_2)
% 170.24/25.90    (92)  all_56_4 = all_52_8
% 170.24/25.90    (93)   ~ (all_52_1 = all_52_13)
% 170.24/25.90    (94)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 170.24/25.90    (95)  all_58_20 = all_52_4
% 170.24/25.90    (96)  all_54_13 = all_52_7
% 170.24/25.90    (97)  all_54_15 = all_14_2
% 170.24/25.90    (98)   ~ (all_52_7 = all_52_11)
% 170.24/25.90    (99)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 170.24/25.90    (100)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 170.24/25.90    (101)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.24/25.90    (102)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.24/25.90    (103)   ~ (all_52_8 = all_52_11)
% 170.24/25.90    (104)   ~ (all_52_8 = all_6_2)
% 170.24/25.90    (105)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 170.24/25.90    (106)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 170.24/25.90    (107)  all_56_6 = all_52_2
% 170.24/25.90    (108)   ~ (all_52_1 = all_52_9)
% 170.24/25.90    (109)  all_58_24 = all_52_8
% 170.24/25.90    (110)   ~ (all_52_12 = all_52_14)
% 170.24/25.90    (111)   ~ (all_52_9 = all_52_11)
% 170.24/25.90    (112)  all_58_22 = all_52_6
% 170.24/25.90    (113)   ~ (all_52_4 = all_52_12)
% 170.24/25.90    (114)  all_56_3 = all_4_2
% 170.24/25.90    (115)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 170.24/25.90    (116)  all_54_0 = all_6_2
% 170.24/25.90    (117)   ~ (all_52_14 = all_10_2)
% 170.24/25.90    (118)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 170.24/25.90    (119)   ~ (all_52_2 = all_52_3)
% 170.24/25.90    (120)   ~ (all_52_4 = all_52_8)
% 170.24/25.90    (121)   ~ (all_52_14 = all_14_2)
% 170.24/25.90    (122)  all_58_25 = all_52_9
% 170.24/25.90    (123)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 170.24/25.90    (124)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.24/25.90             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.24/25.90    (125)   ~ (all_6_1 = e0)
% 170.24/25.90    (126)  all_54_12 = all_52_3
% 170.24/25.90    (127)   ~ (all_52_2 = all_52_14)
% 170.24/25.90    (128)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 170.24/25.90    (129)  all_58_21 = all_4_2
% 170.24/25.90    (130)  all_56_10 = all_52_13
% 170.24/25.90    (131)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 170.24/25.90    (132)   ~ (e2 = e0)
% 170.24/25.90    (133)   ~ (all_52_1 = all_52_3)
% 170.24/25.90    (134)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 170.24/25.90    (135)  all_58_28 = all_52_12
% 170.24/25.90    (136)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 170.24/25.90    (137)   ~ (e1 = e0)
% 170.24/25.90    (138)  all_54_4 = all_52_1
% 170.24/25.90    (139)  all_56_7 = all_52_6
% 170.24/25.90    (140)  all_54_5 = all_4_2
% 170.24/25.90    (141)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 170.24/25.90    (142)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 170.24/25.90    (143)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.24/25.90           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.24/25.90           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.24/25.90           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.24/25.90           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.24/25.90           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.24/25.90           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.24/25.90           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.24/25.90           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.24/25.90           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.24/25.90             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.24/25.90             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.24/25.90             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.24/25.90             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.24/25.90             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.24/25.90             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.24/25.90             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.24/25.90             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.24/25.90             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.24/25.90             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.24/25.90             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.24/25.90             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.24/25.90             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.24/25.90             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.24/25.90             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.24/25.90             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.24/25.90           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.24/25.90           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.24/25.90           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.24/25.90             all_58_30 = e0 & e1 = e0)
% 170.24/25.90    (144)   ~ (all_52_2 = all_10_2)
% 170.24/25.90    (145)  op(e1, e2) = all_52_6
% 170.24/25.90    (146)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 170.24/25.90    (147)   ~ (all_52_12 = all_52_13)
% 170.24/25.90  
% 170.24/25.90  Begin of proof
% 170.24/25.90  | 
% 170.24/25.90  | COMBINE_EQS: (20), (126) imply:
% 170.24/25.90  |   (148)  all_52_3 = e0
% 170.24/25.90  | 
% 170.24/25.90  | COMBINE_EQS: (6), (148) imply:
% 170.24/25.90  |   (149)  all_56_12 = e0
% 170.24/25.90  | 
% 170.24/25.90  | COMBINE_EQS: (54), (148) imply:
% 170.24/25.90  |   (150)  all_58_19 = e0
% 170.24/25.90  | 
% 170.24/25.90  | REDUCE: (133), (148) imply:
% 170.24/25.90  |   (151)   ~ (all_52_1 = e0)
% 170.24/25.90  | 
% 170.24/25.90  | REDUCE: (119), (148) imply:
% 170.24/25.90  |   (152)   ~ (all_52_2 = e0)
% 170.24/25.90  | 
% 170.24/25.90  | REDUCE: (39), (148) imply:
% 170.24/25.90  |   (153)   ~ (all_6_2 = e0)
% 170.24/25.90  | 
% 170.24/25.90  | SIMP: (153) implies:
% 170.24/25.90  |   (154)   ~ (all_6_2 = e0)
% 170.24/25.90  | 
% 170.24/25.90  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 170.24/25.90  |            (13), (14), (15), (16), (17), (18), (19), (21), (22), (23), (24),
% 170.24/25.90  |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 170.24/25.90  |            (36), (37), (38), (39), (40), (41), (42), (43), (44), (45), (46),
% 170.24/25.90  |            (47), (48), (49), (50), (51), (52), (53), (54), (55), (56), (57),
% 170.24/25.90  |            (58), (59), (60), (61), (62), (63), (64), (65), (66), (67), (68),
% 170.24/25.90  |            (69), (70), (71), (72), (73), (74), (75), (76), (77), (78), (79),
% 170.24/25.90  |            (80), (81), (82), (83), (84), (85), (86), (87), (88), (89), (90),
% 170.24/25.90  |            (91), (92), (93), (94), (95), (96), (97), (98), (99), (100), (101),
% 170.24/25.90  |            (102), (103), (104), (105), (106), (107), (108), (109), (110),
% 170.24/25.90  |            (111), (112), (113), (114), (115), (116), (117), (118), (119),
% 170.24/25.90  |            (120), (121), (122), (123), (124), (125), (127), (128), (129),
% 170.24/25.90  |            (130), (131), (132), (134), (135), (136), (137), (138), (139),
% 170.24/25.90  |            (140), (141), (142), (143), (144), (145), (146), (147), (149),
% 170.24/25.90  |            (150), (151), (152), (154) are inconsistent by sub-proof #76.
% 170.24/25.90  | 
% 170.24/25.90  End of proof
% 170.24/25.90  
% 170.24/25.90  Sub-proof #76 shows that the following formulas are inconsistent:
% 170.24/25.90  ----------------------------------------------------------------
% 170.24/25.90    (1)   ~ (all_52_12 = all_14_2)
% 170.24/25.90    (2)  all_54_8 = all_52_2
% 170.24/25.90    (3)  all_56_1 = all_52_4
% 170.24/25.90    (4)  op(all_4_2, e2) = e0
% 170.24/25.90    (5)   ~ (all_6_0 = e0)
% 170.24/25.90    (6)  all_56_12 = all_52_3
% 170.24/25.90    (7)  op(e1, e3) = all_52_2
% 170.24/25.90    (8)   ~ (all_10_2 = e0)
% 170.24/25.90    (9)   ~ (all_52_8 = all_52_12)
% 170.24/25.90    (10)   ~ (e3 = e1)
% 170.24/25.90    (11)  all_58_23 = all_52_7
% 170.24/25.90    (12)   ~ (all_52_2 = all_6_2)
% 170.24/25.90    (13)   ~ (all_52_4 = all_4_2)
% 170.24/25.90    (14)  all_54_3 = all_52_12
% 170.24/25.90    (15)  all_56_5 = all_52_9
% 170.24/25.90    (16)   ~ (all_52_3 = all_52_11)
% 170.24/25.90    (17)  op(all_6_2, e3) = all_6_1
% 170.24/25.90    (18)   ~ (all_52_12 = all_6_2)
% 170.24/25.90    (19)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 170.24/25.90    (20)   ~ (all_52_6 = all_4_2)
% 170.24/25.90    (21)  all_56_15 = all_14_2
% 170.24/25.90    (22)   ~ (all_52_11 = all_14_2)
% 170.24/25.90    (23)  op(e0, e2) = all_52_7
% 170.24/25.90    (24)  all_54_1 = all_52_4
% 170.24/25.90    (25)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 170.24/25.90    (26)   ~ (all_52_9 = all_4_2)
% 170.24/25.90    (27)   ~ (all_52_3 = all_52_7)
% 170.24/25.90    (28)  all_56_14 = all_52_11
% 170.24/25.90    (29)   ~ (all_52_13 = all_4_2)
% 170.24/25.90    (30)  all_56_12 = e0
% 170.24/25.90    (31)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.24/25.90    (32)  all_56_8 = all_10_2
% 170.24/25.90    (33)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.24/25.90    (34)  all_58_26 = all_10_2
% 170.24/25.90    (35)   ~ (all_52_4 = all_52_6)
% 170.24/25.90    (36)  all_58_31 = all_14_2
% 170.24/25.90    (37)   ~ (all_52_11 = all_10_2)
% 170.24/25.90    (38)   ~ (all_52_9 = all_52_13)
% 170.24/25.90    (39)   ~ (all_52_3 = all_6_2)
% 170.24/25.90    (40)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 170.24/25.90    (41)  op(all_6_1, all_6_2) = all_6_0
% 170.24/25.90    (42)   ~ (all_52_1 = all_6_2)
% 170.24/25.90    (43)  all_54_2 = all_52_8
% 170.24/25.90    (44)  all_56_11 = all_52_14
% 170.24/25.90    (45)  op(e2, e1) = all_52_9
% 170.24/25.90    (46)   ~ (all_52_6 = all_52_7)
% 170.24/25.90    (47)  all_56_0 = all_6_2
% 170.24/25.90    (48)   ~ (all_52_9 = all_10_2)
% 170.24/25.90    (49)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 170.24/25.90    (50)  all_58_30 = all_52_14
% 170.24/25.90    (51)  all_58_27 = all_52_11
% 170.24/25.90    (52)  all_54_14 = all_52_11
% 170.24/25.90    (53)  all_58_17 = all_52_1
% 170.24/25.90    (54)  all_58_19 = all_52_3
% 170.24/25.90    (55)  all_56_9 = all_52_12
% 170.24/25.90    (56)   ~ (all_52_2 = all_52_6)
% 170.24/25.90    (57)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 170.24/25.90    (58)   ~ (e3 = e2)
% 170.24/25.90    (59)   ~ (all_52_4 = all_52_7)
% 170.24/25.90    (60)   ~ (e2 = e1)
% 170.24/25.90    (61)   ~ (all_52_6 = all_10_2)
% 170.24/25.90    (62)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 170.24/25.90    (63)   ~ (all_52_2 = e0)
% 170.24/25.90    (64)   ~ (all_52_7 = all_14_2)
% 170.24/25.90    (65)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 170.24/25.90    (66)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 170.24/25.90    (67)   ~ (all_52_13 = all_14_2)
% 170.24/25.90    (68)   ~ (all_52_1 = all_4_2)
% 170.24/25.90    (69)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.24/25.90    (70)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 170.24/25.90    (71)  all_54_9 = all_52_6
% 170.24/25.90    (72)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.24/25.90    (73)   ~ (all_52_13 = all_52_14)
% 170.24/25.90    (74)  op(e2, e3) = all_52_1
% 170.24/25.90    (75)  all_58_19 = e0
% 170.24/25.90    (76)  all_58_18 = all_52_2
% 170.24/25.90    (77)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.24/25.90    (78)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 170.24/25.90    (79)  all_58_16 = all_6_2
% 170.24/25.90    (80)  all_56_13 = all_52_7
% 170.24/25.90    (81)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 170.24/25.90    (82)   ~ (all_52_8 = all_52_9)
% 170.24/25.90    (83)   ~ (all_52_4 = all_6_2)
% 170.24/25.90    (84)  all_56_2 = all_52_1
% 170.24/25.90    (85)   ~ (e3 = e0)
% 170.24/25.90    (86)  all_58_29 = all_52_13
% 170.24/25.90    (87)   ~ (all_52_1 = all_52_2)
% 170.24/25.90    (88)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 170.24/25.90    (89)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 170.24/25.90    (90)   ~ (all_6_2 = e0)
% 170.24/25.90    (91)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 170.24/25.90    (92)   ~ (all_52_6 = all_52_14)
% 170.24/25.90    (93)   ~ (all_52_7 = all_4_2)
% 170.24/25.90    (94)   ~ (all_52_8 = all_10_2)
% 170.24/25.90    (95)  all_56_4 = all_52_8
% 170.24/25.90    (96)   ~ (all_52_1 = all_52_13)
% 170.24/25.90    (97)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 170.24/25.90    (98)  all_58_20 = all_52_4
% 170.24/25.90    (99)  all_54_13 = all_52_7
% 170.24/25.90    (100)  all_54_15 = all_14_2
% 170.24/25.90    (101)   ~ (all_52_7 = all_52_11)
% 170.24/25.90    (102)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 170.24/25.90    (103)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 170.24/25.90    (104)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.24/25.90    (105)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.24/25.90    (106)   ~ (all_52_8 = all_52_11)
% 170.24/25.90    (107)   ~ (all_52_8 = all_6_2)
% 170.24/25.90    (108)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 170.24/25.90    (109)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 170.24/25.90    (110)  all_56_6 = all_52_2
% 170.24/25.90    (111)   ~ (all_52_1 = all_52_9)
% 170.24/25.90    (112)  all_58_24 = all_52_8
% 170.24/25.90    (113)   ~ (all_52_12 = all_52_14)
% 170.24/25.90    (114)   ~ (all_52_9 = all_52_11)
% 170.24/25.90    (115)  all_58_22 = all_52_6
% 170.24/25.90    (116)   ~ (all_52_4 = all_52_12)
% 170.24/25.90    (117)  all_56_3 = all_4_2
% 170.24/25.90    (118)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 170.24/25.90    (119)  all_54_0 = all_6_2
% 170.24/25.90    (120)   ~ (all_52_14 = all_10_2)
% 170.24/25.90    (121)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 170.24/25.90    (122)   ~ (all_52_1 = e0)
% 170.24/25.90    (123)   ~ (all_52_2 = all_52_3)
% 170.24/25.90    (124)   ~ (all_52_4 = all_52_8)
% 170.24/25.90    (125)   ~ (all_52_14 = all_14_2)
% 170.24/25.90    (126)  all_58_25 = all_52_9
% 170.24/25.90    (127)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 170.24/25.90    (128)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.24/25.90             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.24/25.90    (129)   ~ (all_6_1 = e0)
% 170.24/25.90    (130)   ~ (all_52_2 = all_52_14)
% 170.24/25.90    (131)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 170.24/25.90    (132)  all_58_21 = all_4_2
% 170.24/25.90    (133)  all_56_10 = all_52_13
% 170.24/25.90    (134)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 170.24/25.90    (135)   ~ (e2 = e0)
% 170.24/25.90    (136)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 170.24/25.90    (137)  all_58_28 = all_52_12
% 170.24/25.90    (138)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 170.24/25.90    (139)   ~ (e1 = e0)
% 170.24/25.90    (140)  all_54_4 = all_52_1
% 170.24/25.90    (141)  all_56_7 = all_52_6
% 170.24/25.90    (142)  all_54_5 = all_4_2
% 170.24/25.90    (143)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 170.24/25.90    (144)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 170.24/25.91    (145)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.24/25.91           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.24/25.91           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.24/25.91           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.24/25.91           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.24/25.91           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.24/25.91           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.24/25.91           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.24/25.91           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.24/25.91           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.24/25.91             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.24/25.91             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.24/25.91             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.24/25.91             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.24/25.91             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.24/25.91             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.24/25.91             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.24/25.91             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.24/25.91             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.24/25.91             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.24/25.91             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.24/25.91             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.24/25.91             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.24/25.91             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.24/25.91             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.24/25.91             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.24/25.91           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.24/25.91           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.24/25.91           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.24/25.91             all_58_30 = e0 & e1 = e0)
% 170.24/25.91    (146)   ~ (all_52_2 = all_10_2)
% 170.24/25.91    (147)  op(e1, e2) = all_52_6
% 170.24/25.91    (148)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 170.24/25.91    (149)   ~ (all_52_12 = all_52_13)
% 170.24/25.91  
% 170.24/25.91  Begin of proof
% 170.24/25.91  | 
% 170.24/25.91  | BETA: splitting (104) gives:
% 170.24/25.91  | 
% 170.24/25.91  | Case 1:
% 170.24/25.91  | | 
% 170.24/25.91  | |   (150)  all_56_6 = e0
% 170.24/25.91  | | 
% 170.24/25.91  | | COMBINE_EQS: (110), (150) imply:
% 170.24/25.91  | |   (151)  all_52_2 = e0
% 170.24/25.91  | | 
% 170.24/25.91  | | REDUCE: (63), (151) imply:
% 170.24/25.91  | |   (152)  $false
% 170.24/25.91  | | 
% 170.24/25.91  | | CLOSE: (152) is inconsistent.
% 170.24/25.91  | | 
% 170.24/25.91  | Case 2:
% 170.24/25.91  | | 
% 170.24/25.91  | |   (153)   ~ (all_56_6 = e0)
% 170.24/25.91  | |   (154)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.24/25.91  | | 
% 170.24/25.91  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 170.24/25.91  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 170.24/25.91  | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 170.24/25.91  | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (44), (45),
% 170.24/25.91  | |            (46), (47), (48), (49), (50), (51), (52), (53), (54), (55), (56),
% 170.24/25.91  | |            (57), (58), (59), (60), (61), (62), (63), (64), (65), (66), (67),
% 170.24/25.91  | |            (68), (69), (70), (71), (72), (73), (74), (75), (76), (77), (78),
% 170.24/25.91  | |            (79), (80), (81), (82), (83), (84), (85), (86), (87), (88), (89),
% 170.24/25.91  | |            (90), (91), (92), (93), (94), (95), (96), (97), (98), (99),
% 170.24/25.91  | |            (100), (101), (102), (103), (105), (106), (107), (108), (109),
% 170.24/25.91  | |            (110), (111), (112), (113), (114), (115), (116), (117), (118),
% 170.24/25.91  | |            (119), (120), (121), (122), (123), (124), (125), (126), (127),
% 170.24/25.91  | |            (128), (129), (130), (131), (132), (133), (134), (135), (136),
% 170.24/25.91  | |            (137), (138), (139), (140), (141), (142), (143), (144), (145),
% 170.24/25.91  | |            (146), (147), (148), (149), (154) are inconsistent by sub-proof
% 170.24/25.91  | |            #77.
% 170.24/25.91  | | 
% 170.24/25.91  | End of split
% 170.24/25.91  | 
% 170.24/25.91  End of proof
% 170.24/25.91  
% 170.24/25.91  Sub-proof #77 shows that the following formulas are inconsistent:
% 170.24/25.91  ----------------------------------------------------------------
% 170.24/25.91    (1)   ~ (all_52_12 = all_14_2)
% 170.24/25.91    (2)  all_54_8 = all_52_2
% 170.24/25.91    (3)  all_56_1 = all_52_4
% 170.24/25.91    (4)  op(all_4_2, e2) = e0
% 170.24/25.91    (5)   ~ (all_6_0 = e0)
% 170.24/25.91    (6)  all_56_12 = all_52_3
% 170.24/25.91    (7)  op(e1, e3) = all_52_2
% 170.24/25.91    (8)   ~ (all_10_2 = e0)
% 170.24/25.91    (9)   ~ (all_52_8 = all_52_12)
% 170.24/25.91    (10)   ~ (e3 = e1)
% 170.24/25.91    (11)  all_58_23 = all_52_7
% 170.24/25.91    (12)   ~ (all_52_2 = all_6_2)
% 170.24/25.91    (13)   ~ (all_52_4 = all_4_2)
% 170.24/25.91    (14)  all_54_3 = all_52_12
% 170.24/25.91    (15)  all_56_5 = all_52_9
% 170.24/25.91    (16)   ~ (all_52_3 = all_52_11)
% 170.24/25.91    (17)  op(all_6_2, e3) = all_6_1
% 170.24/25.91    (18)   ~ (all_52_12 = all_6_2)
% 170.24/25.91    (19)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 170.24/25.91    (20)   ~ (all_52_6 = all_4_2)
% 170.24/25.91    (21)  all_56_15 = all_14_2
% 170.24/25.91    (22)   ~ (all_52_11 = all_14_2)
% 170.24/25.91    (23)  op(e0, e2) = all_52_7
% 170.24/25.91    (24)  all_54_1 = all_52_4
% 170.24/25.91    (25)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 170.24/25.91    (26)   ~ (all_52_9 = all_4_2)
% 170.24/25.91    (27)   ~ (all_52_3 = all_52_7)
% 170.24/25.91    (28)  all_56_14 = all_52_11
% 170.24/25.91    (29)   ~ (all_52_13 = all_4_2)
% 170.24/25.91    (30)  all_56_12 = e0
% 170.24/25.91    (31)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.24/25.91    (32)  all_56_8 = all_10_2
% 170.24/25.91    (33)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.24/25.91    (34)  all_58_26 = all_10_2
% 170.24/25.91    (35)   ~ (all_52_4 = all_52_6)
% 170.24/25.91    (36)  all_58_31 = all_14_2
% 170.24/25.91    (37)   ~ (all_52_11 = all_10_2)
% 170.24/25.91    (38)   ~ (all_52_9 = all_52_13)
% 170.24/25.91    (39)   ~ (all_52_3 = all_6_2)
% 170.24/25.91    (40)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 170.24/25.91    (41)  op(all_6_1, all_6_2) = all_6_0
% 170.24/25.91    (42)   ~ (all_52_1 = all_6_2)
% 170.24/25.91    (43)  all_54_2 = all_52_8
% 170.24/25.91    (44)  all_56_11 = all_52_14
% 170.24/25.91    (45)  op(e2, e1) = all_52_9
% 170.24/25.91    (46)   ~ (all_52_6 = all_52_7)
% 170.24/25.91    (47)  all_56_0 = all_6_2
% 170.24/25.91    (48)   ~ (all_52_9 = all_10_2)
% 170.24/25.91    (49)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 170.24/25.91    (50)  all_58_30 = all_52_14
% 170.24/25.91    (51)  all_58_27 = all_52_11
% 170.24/25.91    (52)  all_54_14 = all_52_11
% 170.24/25.91    (53)  all_58_17 = all_52_1
% 170.24/25.91    (54)  all_58_19 = all_52_3
% 170.24/25.91    (55)  all_56_9 = all_52_12
% 170.24/25.91    (56)   ~ (all_52_2 = all_52_6)
% 170.24/25.91    (57)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 170.24/25.91    (58)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.24/25.91    (59)   ~ (e3 = e2)
% 170.24/25.91    (60)   ~ (all_52_4 = all_52_7)
% 170.24/25.91    (61)   ~ (e2 = e1)
% 170.24/25.91    (62)   ~ (all_52_6 = all_10_2)
% 170.24/25.91    (63)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 170.24/25.91    (64)   ~ (all_52_2 = e0)
% 170.24/25.91    (65)   ~ (all_52_7 = all_14_2)
% 170.24/25.91    (66)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 170.24/25.91    (67)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 170.24/25.91    (68)   ~ (all_52_13 = all_14_2)
% 170.24/25.91    (69)   ~ (all_52_1 = all_4_2)
% 170.24/25.91    (70)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.24/25.91    (71)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 170.24/25.91    (72)  all_54_9 = all_52_6
% 170.24/25.91    (73)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.24/25.91    (74)   ~ (all_52_13 = all_52_14)
% 170.24/25.91    (75)  op(e2, e3) = all_52_1
% 170.24/25.91    (76)  all_58_19 = e0
% 170.24/25.91    (77)  all_58_18 = all_52_2
% 170.24/25.91    (78)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.24/25.91    (79)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 170.24/25.91    (80)  all_58_16 = all_6_2
% 170.24/25.91    (81)  all_56_13 = all_52_7
% 170.24/25.91    (82)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 170.24/25.91    (83)   ~ (all_52_8 = all_52_9)
% 170.24/25.91    (84)   ~ (all_52_4 = all_6_2)
% 170.24/25.91    (85)  all_56_2 = all_52_1
% 170.24/25.91    (86)   ~ (e3 = e0)
% 170.24/25.91    (87)  all_58_29 = all_52_13
% 170.24/25.91    (88)   ~ (all_52_1 = all_52_2)
% 170.24/25.91    (89)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 170.24/25.91    (90)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 170.24/25.91    (91)   ~ (all_6_2 = e0)
% 170.24/25.91    (92)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 170.24/25.91    (93)   ~ (all_52_6 = all_52_14)
% 170.24/25.91    (94)   ~ (all_52_7 = all_4_2)
% 170.24/25.91    (95)   ~ (all_52_8 = all_10_2)
% 170.24/25.91    (96)  all_56_4 = all_52_8
% 170.24/25.91    (97)   ~ (all_52_1 = all_52_13)
% 170.24/25.91    (98)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 170.24/25.91    (99)  all_58_20 = all_52_4
% 170.24/25.91    (100)  all_54_13 = all_52_7
% 170.24/25.91    (101)  all_54_15 = all_14_2
% 170.24/25.91    (102)   ~ (all_52_7 = all_52_11)
% 170.24/25.91    (103)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 170.24/25.91    (104)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 170.24/25.91    (105)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.24/25.91    (106)   ~ (all_52_8 = all_52_11)
% 170.24/25.91    (107)   ~ (all_52_8 = all_6_2)
% 170.24/25.91    (108)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 170.24/25.91    (109)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 170.24/25.91    (110)  all_56_6 = all_52_2
% 170.24/25.91    (111)   ~ (all_52_1 = all_52_9)
% 170.24/25.91    (112)  all_58_24 = all_52_8
% 170.24/25.91    (113)   ~ (all_52_12 = all_52_14)
% 170.24/25.91    (114)   ~ (all_52_9 = all_52_11)
% 170.24/25.91    (115)  all_58_22 = all_52_6
% 170.24/25.91    (116)   ~ (all_52_4 = all_52_12)
% 170.24/25.91    (117)  all_56_3 = all_4_2
% 170.24/25.91    (118)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 170.24/25.91    (119)  all_54_0 = all_6_2
% 170.24/25.91    (120)   ~ (all_52_14 = all_10_2)
% 170.24/25.91    (121)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 170.24/25.91    (122)   ~ (all_52_1 = e0)
% 170.24/25.91    (123)   ~ (all_52_2 = all_52_3)
% 170.24/25.91    (124)   ~ (all_52_4 = all_52_8)
% 170.24/25.91    (125)   ~ (all_52_14 = all_14_2)
% 170.24/25.91    (126)  all_58_25 = all_52_9
% 170.24/25.91    (127)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 170.24/25.91    (128)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.24/25.91             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.24/25.91    (129)   ~ (all_6_1 = e0)
% 170.24/25.91    (130)   ~ (all_52_2 = all_52_14)
% 170.24/25.91    (131)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 170.24/25.91    (132)  all_58_21 = all_4_2
% 170.24/25.91    (133)  all_56_10 = all_52_13
% 170.24/25.91    (134)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 170.24/25.91    (135)   ~ (e2 = e0)
% 170.24/25.91    (136)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 170.24/25.91    (137)  all_58_28 = all_52_12
% 170.24/25.91    (138)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 170.24/25.91    (139)   ~ (e1 = e0)
% 170.24/25.91    (140)  all_54_4 = all_52_1
% 170.24/25.91    (141)  all_56_7 = all_52_6
% 170.24/25.91    (142)  all_54_5 = all_4_2
% 170.24/25.91    (143)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 170.24/25.91    (144)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 170.24/25.91    (145)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.24/25.91           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.24/25.91           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.24/25.91           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.24/25.91           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.24/25.91           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.24/25.91           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.24/25.91           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.24/25.91           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.24/25.91           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.24/25.91             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.24/25.91             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.24/25.91             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.24/25.91             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.24/25.91             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.24/25.91             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.24/25.91             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.24/25.91             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.24/25.91             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.24/25.91             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.24/25.91             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.24/25.91             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.24/25.91             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.24/25.91             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.24/25.91             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.24/25.91             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.24/25.91           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.24/25.91           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.24/25.91           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.24/25.91             all_58_30 = e0 & e1 = e0)
% 170.24/25.91    (146)   ~ (all_52_2 = all_10_2)
% 170.24/25.91    (147)  op(e1, e2) = all_52_6
% 170.24/25.91    (148)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 170.24/25.91    (149)   ~ (all_52_12 = all_52_13)
% 170.24/25.91  
% 170.24/25.91  Begin of proof
% 170.24/25.91  | 
% 170.24/25.91  | BETA: splitting (82) gives:
% 170.24/25.91  | 
% 170.24/25.91  | Case 1:
% 170.24/25.91  | | 
% 170.24/25.91  | |   (150)  all_56_4 = e0
% 170.24/25.91  | | 
% 170.24/25.91  | | COMBINE_EQS: (96), (150) imply:
% 170.24/25.91  | |   (151)  all_52_8 = e0
% 170.24/25.91  | | 
% 170.24/25.91  | | COMBINE_EQS: (112), (151) imply:
% 170.24/25.91  | |   (152)  all_58_24 = e0
% 170.24/25.91  | | 
% 170.24/25.91  | | REDUCE: (124), (151) imply:
% 170.24/25.91  | |   (153)   ~ (all_52_4 = e0)
% 170.24/25.91  | | 
% 170.24/25.91  | | REDUCE: (106), (151) imply:
% 170.24/25.91  | |   (154)   ~ (all_52_11 = e0)
% 170.24/25.91  | | 
% 170.24/25.91  | | SIMP: (154) implies:
% 170.24/25.91  | |   (155)   ~ (all_52_11 = e0)
% 170.24/25.91  | | 
% 170.24/25.91  | | REDUCE: (9), (151) imply:
% 170.24/25.91  | |   (156)   ~ (all_52_12 = e0)
% 170.24/25.91  | | 
% 170.24/25.91  | | SIMP: (156) implies:
% 170.24/25.91  | |   (157)   ~ (all_52_12 = e0)
% 170.24/25.91  | | 
% 170.24/25.91  | | REDUCE: (107), (151) imply:
% 170.24/25.91  | |   (158)   ~ (all_6_2 = e0)
% 170.24/25.91  | | 
% 170.24/25.91  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (10), (11), (12), (13), (15), (17),
% 170.24/25.91  | |            (18), (19), (20), (23), (24), (26), (27), (28), (29), (30), (31),
% 170.24/25.91  | |            (32), (33), (34), (35), (36), (37), (40), (41), (42), (44), (45),
% 170.24/25.91  | |            (46), (47), (48), (49), (50), (51), (52), (55), (57), (58), (59),
% 170.24/25.91  | |            (60), (61), (62), (64), (66), (67), (68), (69), (70), (71), (72),
% 170.24/25.91  | |            (74), (75), (76), (77), (78), (79), (80), (81), (84), (85), (86),
% 170.24/25.91  | |            (87), (88), (89), (91), (92), (93), (94), (96), (97), (98), (99),
% 170.24/25.91  | |            (100), (102), (103), (105), (108), (110), (111), (112), (115),
% 170.24/25.91  | |            (116), (117), (119), (120), (122), (126), (127), (128), (129),
% 170.24/25.91  | |            (130), (131), (132), (133), (134), (135), (136), (137), (138),
% 170.24/25.91  | |            (139), (140), (141), (142), (144), (145), (146), (147), (149),
% 170.24/25.91  | |            (150), (152), (153), (155), (157) are inconsistent by sub-proof
% 170.24/25.91  | |            #115.
% 170.24/25.91  | | 
% 170.24/25.91  | Case 2:
% 170.24/25.91  | | 
% 170.24/25.91  | |   (159)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 170.24/25.91  | | 
% 170.24/25.91  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 170.24/25.91  | |            (14), (15), (16), (17), (18), (20), (21), (22), (24), (25), (26),
% 170.24/25.91  | |            (27), (28), (29), (31), (32), (33), (34), (35), (36), (37), (38),
% 170.24/25.91  | |            (39), (41), (42), (43), (44), (45), (46), (47), (49), (50), (51),
% 170.24/25.91  | |            (52), (53), (54), (55), (56), (57), (59), (60), (61), (62), (63),
% 170.24/25.91  | |            (64), (65), (66), (67), (68), (69), (70), (71), (73), (74), (75),
% 170.24/25.91  | |            (78), (79), (80), (81), (83), (84), (85), (86), (87), (88), (89),
% 170.24/25.91  | |            (90), (91), (92), (93), (94), (95), (96), (97), (98), (99),
% 170.24/25.91  | |            (100), (101), (102), (103), (104), (105), (106), (107), (109),
% 170.24/25.91  | |            (110), (111), (112), (113), (114), (115), (116), (117), (118),
% 170.24/25.91  | |            (119), (120), (121), (122), (123), (124), (125), (126), (128),
% 170.24/25.91  | |            (131), (132), (133), (134), (135), (136), (137), (139), (141),
% 170.24/25.91  | |            (143), (145), (146), (147), (148), (149), (159) are inconsistent
% 170.24/25.91  | |            by sub-proof #380.
% 170.24/25.91  | | 
% 170.24/25.91  | End of split
% 170.24/25.91  | 
% 170.24/25.91  End of proof
% 170.24/25.91  
% 170.24/25.91  Sub-proof #78 shows that the following formulas are inconsistent:
% 170.24/25.91  ----------------------------------------------------------------
% 170.24/25.91    (1)   ~ (all_52_12 = all_14_2)
% 170.24/25.91    (2)  op(e0, e0) = all_14_2
% 170.24/25.91    (3)  all_56_1 = all_52_4
% 170.24/25.91    (4)  op(all_4_2, e2) = e0
% 170.24/25.91    (5)  all_56_12 = all_52_3
% 170.24/25.91    (6)  all_56_15 = e0 | ((all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 170.24/25.91           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0))
% 170.24/25.91    (7)  op(e1, all_52_14) = all_58_11
% 170.24/25.91    (8)   ~ (all_10_2 = e0)
% 170.24/25.91    (9)   ~ (all_52_8 = all_52_12)
% 170.24/25.91    (10)   ~ (e3 = e1)
% 170.24/25.91    (11)   ~ (all_4_0 = e3) |  ~ (all_4_2 = e1)
% 170.24/25.91    (12)  all_58_23 = all_52_7
% 170.24/25.91    (13)   ~ (all_52_2 = all_6_2)
% 170.24/25.91    (14)   ~ (all_52_3 = all_14_2)
% 170.24/25.91    (15)   ~ (all_52_4 = all_4_2)
% 170.24/25.91    (16)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.24/25.91    (17)  all_54_3 = all_52_12
% 170.24/25.91    (18)  all_56_5 = all_52_9
% 170.24/25.91    (19)   ~ (all_52_3 = all_52_11)
% 170.24/25.91    (20)  op(all_6_2, e3) = all_6_1
% 170.24/25.91    (21)   ~ (all_52_12 = all_6_2)
% 170.24/25.91    (22)  op(e2, e0) = all_52_13
% 170.24/25.91    (23)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 170.24/25.91    (24)   ~ (all_52_6 = all_4_2)
% 170.24/25.91    (25)  op(e3, all_6_2) = all_58_0
% 170.24/25.91    (26)  op(e1, e0) = all_52_14
% 170.24/25.91    (27)  all_56_15 = all_14_2
% 170.24/25.91    (28)   ~ (all_52_11 = all_14_2)
% 170.24/25.91    (29)  op(e0, e2) = all_52_7
% 170.24/25.91    (30)  all_54_1 = all_52_4
% 170.24/25.91    (31)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 170.24/25.91    (32)   ~ (all_52_9 = all_4_2)
% 170.24/25.91    (33)   ~ (all_52_3 = all_52_7)
% 170.24/25.91    (34)  all_54_6 = all_52_9
% 170.24/25.91    (35)  all_56_14 = all_52_11
% 170.24/25.91    (36)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 170.24/25.91    (37)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 170.24/25.91    (38)   ~ (all_52_13 = all_4_2)
% 170.24/25.91    (39)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.24/25.91    (40)  op(e0, all_52_3) = all_58_12
% 170.24/25.91    (41)  all_48_2 = all_14_2
% 170.24/25.91    (42)  all_56_8 = all_10_2
% 170.24/25.91    (43)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.24/25.91    (44)  all_58_26 = all_10_2
% 170.24/25.91    (45)   ~ (all_52_4 = all_52_6)
% 170.24/25.91    (46)  all_58_31 = all_14_2
% 170.24/25.91    (47)   ~ (all_52_11 = all_10_2)
% 170.24/25.91    (48)   ~ (all_52_9 = all_52_13)
% 170.24/25.91    (49)   ~ (all_52_3 = all_6_2)
% 170.24/25.91    (50)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 170.24/25.91    (51)   ~ (all_52_1 = all_6_2)
% 170.24/25.91    (52)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 170.24/25.91    (53)  all_54_2 = all_52_8
% 170.24/25.91    (54)  all_56_11 = all_52_14
% 170.24/25.91    (55)   ~ (all_52_6 = all_52_7)
% 170.24/25.91    (56)  all_56_0 = all_6_2
% 170.24/25.91    (57)   ~ (all_52_9 = all_10_2)
% 170.24/25.91    (58)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 170.24/25.91    (59)  all_58_30 = all_52_14
% 170.24/25.91    (60)  all_58_27 = all_52_11
% 170.24/25.91    (61)  all_54_14 = all_52_11
% 170.24/25.91    (62)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 170.24/25.91    (63)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 170.24/25.91    (64)  all_58_17 = all_52_1
% 170.24/25.91    (65)  all_42_2 = all_6_2
% 170.24/25.91    (66)  op(e2, all_4_2) = all_58_5
% 170.24/25.91    (67)  all_58_19 = all_52_3
% 170.24/25.91    (68)  all_56_9 = all_52_12
% 170.24/25.91    (69)   ~ (all_52_2 = all_52_6)
% 170.24/25.91    (70)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 170.24/25.91    (71)  op(e2, e2) = all_4_2
% 170.24/25.91    (72)   ~ (e3 = e2)
% 170.24/25.91    (73)   ~ (all_52_4 = all_52_7)
% 170.24/25.91    (74)   ~ (e2 = e1)
% 170.24/25.91    (75)   ~ (all_52_6 = all_10_2)
% 170.24/25.91    (76)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 170.24/25.91    (77)  op(e0, all_52_11) = all_58_14
% 170.24/25.91    (78)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 170.24/25.91    (79)  op(e0, e1) = all_52_11
% 170.24/25.91    (80)   ~ (all_52_7 = all_14_2)
% 170.24/25.91    (81)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 170.24/25.91    (82)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 170.24/25.91    (83)   ~ (all_52_13 = all_14_2)
% 170.24/25.91    (84)   ~ (all_52_1 = all_4_2)
% 170.24/25.91    (85)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.24/25.91    (86)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 170.24/25.91    (87)  all_54_9 = all_52_6
% 170.24/25.91    (88)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.24/25.91    (89)   ~ (all_52_13 = all_52_14)
% 170.24/25.91    (90)   ~ (all_48_0 = e3) |  ~ (all_48_1 = e2) |  ~ (all_48_2 = e1)
% 170.24/25.91    (91)  all_58_18 = all_52_2
% 170.24/25.91    (92)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.24/25.91    (93)  all_42_2 = e0
% 170.24/25.91    (94)  all_58_16 = all_6_2
% 170.24/25.91    (95)  all_56_13 = all_52_7
% 170.24/25.91    (96)  op(e0, e3) = all_52_3
% 170.24/25.91    (97)  op(e0, all_52_7) = all_58_13
% 170.24/25.91    (98)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 170.24/25.91    (99)   ~ (all_52_8 = all_52_9)
% 170.24/25.91    (100)   ~ (all_52_4 = all_6_2)
% 170.24/25.91    (101)  all_56_2 = all_52_1
% 170.24/25.91    (102)   ~ (all_14_0 = e1)
% 170.24/25.91    (103)   ~ (e3 = e0)
% 170.24/25.91    (104)  op(e3, e0) = all_52_12
% 170.24/25.91    (105)  all_58_29 = all_52_13
% 170.24/25.91    (106)   ~ (all_52_1 = all_52_2)
% 170.24/25.91    (107)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 170.24/25.91    (108)  op(e0, all_4_2) = all_4_0
% 170.24/25.91    (109)   ~ (all_52_6 = all_52_14)
% 170.24/25.91    (110)   ~ (all_52_7 = all_4_2)
% 170.24/25.91    (111)   ~ (all_52_8 = all_10_2)
% 170.24/25.91    (112)  all_56_4 = all_52_8
% 170.24/25.91    (113)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.24/25.91    (114)  op(all_14_1, all_14_2) = all_14_0
% 170.24/25.91    (115)   ~ (all_52_1 = all_52_13)
% 170.24/25.91    (116)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 170.24/25.91    (117)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 170.24/25.91    (118)  all_58_20 = all_52_4
% 170.24/25.91    (119)  all_54_13 = all_52_7
% 170.24/25.91    (120)  all_54_15 = all_14_2
% 170.24/25.91    (121)   ~ (all_52_7 = all_52_11)
% 170.24/25.91    (122)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 170.24/25.91    (123)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.24/25.91    (124)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.24/25.91    (125)   ~ (all_52_8 = all_52_11)
% 170.24/25.91    (126)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 170.24/25.91    (127)   ~ (all_52_8 = all_6_2)
% 170.24/25.91    (128)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 170.24/25.91    (129)  all_56_6 = all_52_2
% 170.24/25.91    (130)   ~ (all_52_1 = all_52_9)
% 170.24/25.91    (131)  all_58_24 = all_52_8
% 170.24/25.91    (132)   ~ (all_52_12 = all_52_14)
% 170.24/25.91    (133)   ~ (all_52_9 = all_52_11)
% 170.24/25.91    (134)  all_58_22 = all_52_6
% 170.24/25.91    (135)  op(all_14_2, e0) = all_14_1
% 170.24/25.91    (136)   ~ (all_52_4 = all_52_12)
% 170.24/25.91    (137)  all_56_3 = all_4_2
% 170.24/25.91    (138)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 170.24/25.91    (139)   ~ (all_52_14 = all_10_2)
% 170.24/25.91    (140)   ~ (all_52_2 = all_52_3)
% 170.24/25.91    (141)   ~ (all_52_4 = all_52_8)
% 170.24/25.91    (142)   ~ (all_52_14 = all_14_2)
% 170.24/25.91    (143)  all_58_25 = all_52_9
% 170.24/25.91    (144)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 170.24/25.91    (145)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.24/25.91             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.24/25.91    (146)  all_54_12 = all_52_3
% 170.24/25.91    (147)   ~ (all_52_2 = all_52_14)
% 170.24/25.91    (148)  op(e0, all_14_2) = all_58_15
% 170.24/25.91    (149)  all_58_21 = all_4_2
% 170.24/25.91    (150)  all_56_10 = all_52_13
% 170.24/25.91    (151)  op(e2, all_52_9) = all_58_6
% 170.24/25.91    (152)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 170.24/25.91    (153)   ~ (e2 = e0)
% 170.24/25.91    (154)   ~ (all_52_1 = all_52_3)
% 170.24/25.91    (155)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 170.24/25.91    (156)  all_58_28 = all_52_12
% 170.24/25.91    (157)  op(e1, all_52_6) = all_58_9
% 170.24/25.91    (158)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 170.24/25.91    (159)   ~ (e1 = e0)
% 170.24/25.91    (160)  all_54_4 = all_52_1
% 170.24/25.91    (161)  all_56_7 = all_52_6
% 170.24/25.92    (162)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 170.24/25.92             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 170.24/25.92             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 170.24/25.92             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 170.24/25.92             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 170.24/25.92             (all_58_15 = e0))
% 170.24/25.92    (163)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 170.24/25.92    (164)  all_54_5 = all_4_2
% 170.24/25.92    (165)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 170.24/25.92    (166)  op(e2, all_52_13) = all_58_7
% 170.24/25.92    (167)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.24/25.92           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.24/25.92           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.24/25.92           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.24/25.92           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.24/25.92           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.24/25.92           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.24/25.92           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.24/25.92           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.24/25.92           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.24/25.92             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.24/25.92             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.24/25.92             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.24/25.92             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.24/25.92             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.24/25.92             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.24/25.92             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.24/25.92             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.24/25.92             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.24/25.92             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.24/25.92             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.24/25.92             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.24/25.92             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.24/25.92             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.24/25.92             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.24/25.92             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.24/25.92           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.24/25.92           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.24/25.92           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.24/25.92             all_58_30 = e0 & e1 = e0)
% 170.24/25.92    (168)  all_54_7 = all_52_13
% 170.24/25.92    (169)   ~ (all_52_2 = all_10_2)
% 170.24/25.92    (170)  all_54_11 = all_52_14
% 170.24/25.92    (171)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 170.24/25.92    (172)   ~ (all_52_12 = all_52_13)
% 170.24/25.92  
% 170.24/25.92  Begin of proof
% 170.24/25.92  | 
% 170.24/25.92  | COMBINE_EQS: (65), (93) imply:
% 170.24/25.92  |   (173)  all_6_2 = e0
% 170.24/25.92  | 
% 170.24/25.92  | COMBINE_EQS: (56), (173) imply:
% 170.24/25.92  |   (174)  all_56_0 = e0
% 170.24/25.92  | 
% 170.24/25.92  | COMBINE_EQS: (94), (173) imply:
% 170.24/25.92  |   (175)  all_58_16 = e0
% 170.24/25.92  | 
% 170.24/25.92  | REDUCE: (51), (173) imply:
% 170.24/25.92  |   (176)   ~ (all_52_1 = e0)
% 170.24/25.92  | 
% 170.24/25.92  | REDUCE: (13), (173) imply:
% 170.24/25.92  |   (177)   ~ (all_52_2 = e0)
% 170.24/25.92  | 
% 170.24/25.92  | REDUCE: (49), (173) imply:
% 170.24/25.92  |   (178)   ~ (all_52_3 = e0)
% 170.24/25.92  | 
% 170.24/25.92  | REDUCE: (100), (173) imply:
% 170.24/25.92  |   (179)   ~ (all_52_4 = e0)
% 170.24/25.92  | 
% 170.24/25.92  | REDUCE: (127), (173) imply:
% 170.24/25.92  |   (180)   ~ (all_52_8 = e0)
% 170.24/25.92  | 
% 170.24/25.92  | REDUCE: (21), (173) imply:
% 170.24/25.92  |   (181)   ~ (all_52_12 = e0)
% 170.24/25.92  | 
% 170.24/25.92  | REDUCE: (20), (173) imply:
% 170.24/25.92  |   (182)  op(e0, e3) = all_6_1
% 170.24/25.92  | 
% 170.24/25.92  | REDUCE: (25), (173) imply:
% 170.24/25.92  |   (183)  op(e3, e0) = all_58_0
% 170.24/25.92  | 
% 170.24/25.92  | GROUND_INST: instantiating (145) with all_52_3, all_6_1, e3, e0, simplifying
% 170.24/25.92  |              with (96), (182) gives:
% 170.24/25.92  |   (184)  all_52_3 = all_6_1
% 170.24/25.92  | 
% 170.24/25.92  | GROUND_INST: instantiating (145) with all_52_12, all_58_0, e0, e3, simplifying
% 170.24/25.92  |              with (104), (183) gives:
% 170.24/25.92  |   (185)  all_58_0 = all_52_12
% 170.24/25.92  | 
% 170.24/25.92  | COMBINE_EQS: (146), (184) imply:
% 170.24/25.92  |   (186)  all_54_12 = all_6_1
% 170.24/25.92  | 
% 170.24/25.92  | COMBINE_EQS: (5), (184) imply:
% 170.24/25.92  |   (187)  all_56_12 = all_6_1
% 170.24/25.92  | 
% 170.24/25.92  | COMBINE_EQS: (67), (184) imply:
% 170.24/25.92  |   (188)  all_58_19 = all_6_1
% 170.24/25.92  | 
% 170.24/25.92  | REDUCE: (154), (184) imply:
% 170.24/25.92  |   (189)   ~ (all_52_1 = all_6_1)
% 170.24/25.92  | 
% 170.24/25.92  | REDUCE: (140), (184) imply:
% 170.24/25.92  |   (190)   ~ (all_52_2 = all_6_1)
% 170.24/25.92  | 
% 170.24/25.92  | REDUCE: (33), (184) imply:
% 170.24/25.92  |   (191)   ~ (all_52_7 = all_6_1)
% 170.24/25.92  | 
% 170.24/25.92  | SIMP: (191) implies:
% 170.24/25.92  |   (192)   ~ (all_52_7 = all_6_1)
% 170.24/25.92  | 
% 170.24/25.92  | REDUCE: (19), (184) imply:
% 170.24/25.92  |   (193)   ~ (all_52_11 = all_6_1)
% 170.24/25.92  | 
% 170.24/25.92  | SIMP: (193) implies:
% 170.24/25.92  |   (194)   ~ (all_52_11 = all_6_1)
% 170.24/25.92  | 
% 170.24/25.92  | REDUCE: (14), (184) imply:
% 170.24/25.92  |   (195)   ~ (all_14_2 = all_6_1)
% 170.24/25.92  | 
% 170.24/25.92  | SIMP: (195) implies:
% 170.24/25.92  |   (196)   ~ (all_14_2 = all_6_1)
% 170.24/25.92  | 
% 170.24/25.92  | REDUCE: (178), (184) imply:
% 170.24/25.92  |   (197)   ~ (all_6_1 = e0)
% 170.24/25.92  | 
% 170.24/25.92  | REDUCE: (40), (184) imply:
% 170.24/25.92  |   (198)  op(e0, all_6_1) = all_58_12
% 170.24/25.92  | 
% 170.24/25.92  | BETA: splitting (90) gives:
% 170.24/25.92  | 
% 170.24/25.92  | Case 1:
% 170.24/25.92  | | 
% 170.24/25.92  | |   (199)   ~ (all_48_2 = e1)
% 170.24/25.92  | | 
% 170.24/25.92  | | REDUCE: (41), (199) imply:
% 170.24/25.92  | |   (200)   ~ (all_14_2 = e1)
% 170.24/25.92  | | 
% 170.24/25.92  | | BETA: splitting (6) gives:
% 170.24/25.92  | | 
% 170.24/25.92  | | Case 1:
% 170.24/25.92  | | | 
% 170.24/25.92  | | |   (201)  all_56_15 = e0
% 170.24/25.92  | | | 
% 170.24/25.92  | | | COMBINE_EQS: (27), (201) imply:
% 170.24/25.92  | | |   (202)  all_14_2 = e0
% 170.24/25.92  | | | 
% 170.24/25.92  | | | SIMP: (202) implies:
% 170.24/25.92  | | |   (203)  all_14_2 = e0
% 170.24/25.92  | | | 
% 170.24/25.92  | | | REDUCE: (28), (203) imply:
% 170.24/25.92  | | |   (204)   ~ (all_52_11 = e0)
% 170.24/25.92  | | | 
% 170.24/25.92  | | | REDUCE: (142), (203) imply:
% 170.24/25.92  | | |   (205)   ~ (all_52_14 = e0)
% 170.24/25.92  | | | 
% 170.24/25.92  | | | REDUCE: (196), (203) imply:
% 170.24/25.92  | | |   (206)   ~ (all_6_1 = e0)
% 170.24/25.92  | | | 
% 170.24/25.92  | | | REDUCE: (114), (203) imply:
% 170.24/25.92  | | |   (207)  op(all_14_1, e0) = all_14_0
% 170.24/25.92  | | | 
% 170.24/25.92  | | | REDUCE: (135), (203) imply:
% 170.24/25.92  | | |   (208)  op(e0, e0) = all_14_1
% 170.24/25.92  | | | 
% 170.24/25.92  | | | REDUCE: (148), (203) imply:
% 170.24/25.92  | | |   (209)  op(e0, e0) = all_58_15
% 170.24/25.92  | | | 
% 170.24/25.92  | | | REDUCE: (2), (203) imply:
% 170.24/25.92  | | |   (210)  op(e0, e0) = e0
% 170.24/25.92  | | | 
% 170.24/25.92  | | | BETA: splitting (123) gives:
% 170.24/25.92  | | | 
% 170.24/25.92  | | | Case 1:
% 170.24/25.92  | | | | 
% 170.24/25.92  | | | |   (211)  all_56_6 = e0
% 170.24/25.92  | | | | 
% 170.24/25.92  | | | | COMBINE_EQS: (129), (211) imply:
% 170.24/25.92  | | | |   (212)  all_52_2 = e0
% 170.24/25.92  | | | | 
% 170.24/25.92  | | | | REDUCE: (177), (212) imply:
% 170.24/25.92  | | | |   (213)  $false
% 170.24/25.92  | | | | 
% 170.24/25.92  | | | | CLOSE: (213) is inconsistent.
% 170.24/25.92  | | | | 
% 170.24/25.92  | | | Case 2:
% 170.24/25.92  | | | | 
% 170.24/25.92  | | | |   (214)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.24/25.92  | | | | 
% 170.24/25.92  | | | | BETA: splitting (98) gives:
% 170.24/25.92  | | | | 
% 170.24/25.92  | | | | Case 1:
% 170.24/25.92  | | | | | 
% 170.24/25.92  | | | | |   (215)  all_56_4 = e0
% 170.24/25.92  | | | | | 
% 170.24/25.92  | | | | | COMBINE_EQS: (112), (215) imply:
% 170.24/25.92  | | | | |   (216)  all_52_8 = e0
% 170.24/25.92  | | | | | 
% 170.24/25.92  | | | | | REDUCE: (180), (216) imply:
% 170.24/25.92  | | | | |   (217)  $false
% 170.24/25.92  | | | | | 
% 170.24/25.92  | | | | | CLOSE: (217) is inconsistent.
% 170.24/25.92  | | | | | 
% 170.24/25.92  | | | | Case 2:
% 170.24/25.92  | | | | | 
% 170.24/25.92  | | | | |   (218)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 170.24/25.92  | | | | | 
% 170.24/25.92  | | | | | BETA: splitting (218) gives:
% 170.24/25.92  | | | | | 
% 170.24/25.92  | | | | | Case 1:
% 170.24/25.92  | | | | | | 
% 170.24/25.92  | | | | | |   (219)  all_56_5 = e0
% 170.24/25.92  | | | | | | 
% 170.24/25.92  | | | | | | COMBINE_EQS: (18), (219) imply:
% 170.24/25.92  | | | | | |   (220)  all_52_9 = e0
% 170.24/25.92  | | | | | | 
% 170.24/25.92  | | | | | | COMBINE_EQS: (143), (220) imply:
% 170.24/25.92  | | | | | |   (221)  all_58_25 = e0
% 170.24/25.92  | | | | | | 
% 170.24/25.92  | | | | | | REDUCE: (133), (220) imply:
% 170.24/25.92  | | | | | |   (222)   ~ (all_52_11 = e0)
% 170.24/25.92  | | | | | | 
% 170.24/25.92  | | | | | | REDUCE: (57), (220) imply:
% 170.24/25.92  | | | | | |   (223)   ~ (all_10_2 = e0)
% 170.24/25.92  | | | | | | 
% 170.24/25.92  | | | | | | BETA: splitting (214) gives:
% 170.24/25.92  | | | | | | 
% 170.24/25.92  | | | | | | Case 1:
% 170.24/25.92  | | | | | | | 
% 170.24/25.92  | | | | | | |   (224)  all_56_7 = e0
% 170.24/25.92  | | | | | | | 
% 170.24/25.92  | | | | | | | COMBINE_EQS: (161), (224) imply:
% 170.24/25.92  | | | | | | |   (225)  all_52_6 = e0
% 170.24/25.92  | | | | | | | 
% 170.24/25.92  | | | | | | | COMBINE_EQS: (134), (225) imply:
% 170.24/25.92  | | | | | | |   (226)  all_58_22 = e0
% 170.24/25.92  | | | | | | | 
% 170.24/25.92  | | | | | | | REDUCE: (55), (225) imply:
% 170.24/25.92  | | | | | | |   (227)   ~ (all_52_7 = e0)
% 170.24/25.92  | | | | | | | 
% 170.24/25.92  | | | | | | | SIMP: (227) implies:
% 170.24/25.92  | | | | | | |   (228)   ~ (all_52_7 = e0)
% 170.24/25.92  | | | | | | | 
% 170.24/25.92  | | | | | | | REDUCE: (24), (225) imply:
% 170.24/25.92  | | | | | | |   (229)   ~ (all_4_2 = e0)
% 170.24/25.92  | | | | | | | 
% 170.24/25.92  | | | | | | | SIMP: (229) implies:
% 170.24/25.92  | | | | | | |   (230)   ~ (all_4_2 = e0)
% 170.24/25.92  | | | | | | | 
% 170.24/25.92  | | | | | | | GROUND_INST: instantiating (145) with all_14_1, all_58_15, e0, e0,
% 170.24/25.92  | | | | | | |              simplifying with (208), (209) gives:
% 170.24/25.92  | | | | | | |   (231)  all_58_15 = all_14_1
% 170.24/25.92  | | | | | | | 
% 170.24/25.92  | | | | | | | GROUND_INST: instantiating (145) with e0, all_58_15, e0, e0,
% 170.24/25.92  | | | | | | |              simplifying with (209), (210) gives:
% 170.24/25.92  | | | | | | |   (232)  all_58_15 = e0
% 170.24/25.92  | | | | | | | 
% 170.24/25.92  | | | | | | | COMBINE_EQS: (231), (232) imply:
% 170.24/25.92  | | | | | | |   (233)  all_14_1 = e0
% 170.24/25.92  | | | | | | | 
% 170.24/25.92  | | | | | | | SIMP: (233) implies:
% 170.24/25.92  | | | | | | |   (234)  all_14_1 = e0
% 170.24/25.92  | | | | | | | 
% 170.24/25.92  | | | | | | | REDUCE: (207), (234) imply:
% 170.24/25.92  | | | | | | |   (235)  op(e0, e0) = all_14_0
% 170.24/25.92  | | | | | | | 
% 170.24/25.92  | | | | | | | GROUND_INST: instantiating (145) with e0, all_14_0, e0, e0,
% 170.24/25.92  | | | | | | |              simplifying with (210), (235) gives:
% 170.24/25.92  | | | | | | |   (236)  all_14_0 = e0
% 170.24/25.92  | | | | | | | 
% 170.24/25.92  | | | | | | | REDUCE: (102), (236) imply:
% 170.24/25.92  | | | | | | |   (237)   ~ (e1 = e0)
% 170.24/25.92  | | | | | | | 
% 170.24/25.92  | | | | | | | BETA: splitting (117) gives:
% 170.24/25.92  | | | | | | | 
% 170.24/25.92  | | | | | | | Case 1:
% 170.24/25.92  | | | | | | | | 
% 170.24/25.92  | | | | | | | |   (238)  all_54_12 = e0
% 170.24/25.92  | | | | | | | | 
% 170.24/25.92  | | | | | | | | COMBINE_EQS: (186), (238) imply:
% 170.24/25.92  | | | | | | | |   (239)  all_6_1 = e0
% 170.24/25.92  | | | | | | | | 
% 170.24/25.92  | | | | | | | | REDUCE: (197), (239) imply:
% 170.24/25.92  | | | | | | | |   (240)  $false
% 170.24/25.92  | | | | | | | | 
% 170.24/25.92  | | | | | | | | CLOSE: (240) is inconsistent.
% 170.24/25.92  | | | | | | | | 
% 170.24/25.92  | | | | | | | Case 2:
% 170.24/25.92  | | | | | | | | 
% 170.24/25.92  | | | | | | | |   (241)   ~ (all_54_12 = e0)
% 170.24/25.92  | | | | | | | |   (242)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 170.24/25.92  | | | | | | | | 
% 170.24/25.92  | | | | | | | | BETA: splitting (31) gives:
% 170.24/25.92  | | | | | | | | 
% 170.24/25.92  | | | | | | | | Case 1:
% 170.24/25.92  | | | | | | | | | 
% 170.24/25.92  | | | | | | | | |   (243)  all_54_3 = e0
% 170.24/25.92  | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | COMBINE_EQS: (17), (243) imply:
% 170.24/25.92  | | | | | | | | |   (244)  all_52_12 = e0
% 170.24/25.92  | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | REDUCE: (181), (244) imply:
% 170.24/25.92  | | | | | | | | |   (245)  $false
% 170.24/25.92  | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | CLOSE: (245) is inconsistent.
% 170.24/25.92  | | | | | | | | | 
% 170.24/25.92  | | | | | | | | Case 2:
% 170.24/25.92  | | | | | | | | | 
% 170.24/25.92  | | | | | | | | |   (246)   ~ (all_54_3 = e0)
% 170.24/25.92  | | | | | | | | |   (247)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 170.24/25.92  | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | BETA: splitting (86) gives:
% 170.24/25.92  | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | Case 1:
% 170.24/25.92  | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | |   (248)  all_54_1 = e0
% 170.24/25.92  | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | REF_CLOSE: (30), (179), (248) are inconsistent by sub-proof
% 170.24/25.92  | | | | | | | | | |            #866.
% 170.24/25.92  | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | Case 2:
% 170.24/25.92  | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | |   (249)   ~ (all_54_1 = e0)
% 170.24/25.92  | | | | | | | | | |   (250)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 170.24/25.92  | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | BETA: splitting (16) gives:
% 170.24/25.92  | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | Case 1:
% 170.24/25.92  | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | |   (251)  all_58_19 = e0
% 170.24/25.92  | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | COMBINE_EQS: (188), (251) imply:
% 170.24/25.92  | | | | | | | | | | |   (252)  all_6_1 = e0
% 170.24/25.92  | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | REDUCE: (197), (252) imply:
% 170.24/25.92  | | | | | | | | | | |   (253)  $false
% 170.24/25.92  | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | CLOSE: (253) is inconsistent.
% 170.24/25.92  | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | Case 2:
% 170.24/25.92  | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | |   (254)   ~ (all_58_19 = e0)
% 170.24/25.92  | | | | | | | | | | |   (255)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 170.24/25.92  | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | BETA: splitting (58) gives:
% 170.24/25.92  | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | Case 1:
% 170.24/25.92  | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | |   (256)  all_58_27 = e0
% 170.24/25.92  | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | REF_CLOSE: (60), (204), (256) are inconsistent by sub-proof
% 170.24/25.92  | | | | | | | | | | | |            #663.
% 170.24/25.92  | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | Case 2:
% 170.24/25.92  | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | |   (257)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 170.24/25.92  | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | BETA: splitting (124) gives:
% 170.24/25.92  | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | Case 1:
% 170.24/25.92  | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | |   (258)  all_58_23 = e0
% 170.24/25.92  | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | COMBINE_EQS: (12), (258) imply:
% 170.24/25.92  | | | | | | | | | | | | |   (259)  all_52_7 = e0
% 170.24/25.92  | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | REDUCE: (228), (259) imply:
% 170.24/25.92  | | | | | | | | | | | | |   (260)  $false
% 170.24/25.92  | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | CLOSE: (260) is inconsistent.
% 170.24/25.92  | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | Case 2:
% 170.24/25.92  | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | |   (261)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 170.24/25.92  | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | BETA: splitting (85) gives:
% 170.24/25.92  | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | Case 1:
% 170.24/25.92  | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | |   (262)  all_56_0 = e1
% 170.24/25.92  | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | COMBINE_EQS: (174), (262) imply:
% 170.24/25.92  | | | | | | | | | | | | | |   (263)  e1 = e0
% 170.24/25.92  | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | REDUCE: (159), (263) imply:
% 170.24/25.92  | | | | | | | | | | | | | |   (264)  $false
% 170.24/25.92  | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | CLOSE: (264) is inconsistent.
% 170.24/25.92  | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | Case 2:
% 170.24/25.92  | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | |   (265)   ~ (all_56_0 = e1)
% 170.24/25.92  | | | | | | | | | | | | | |   (266)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.24/25.92  | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 170.24/25.92  | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | Case 1:
% 170.24/25.92  | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | |   (267)  all_56_9 = e1
% 170.24/25.92  | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | COMBINE_EQS: (68), (267) imply:
% 170.24/25.92  | | | | | | | | | | | | | | |   (268)  all_52_12 = e1
% 170.24/25.92  | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | REDUCE: (172), (268) imply:
% 170.24/25.92  | | | | | | | | | | | | | | |   (269)   ~ (all_52_13 = e1)
% 170.24/25.92  | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | SIMP: (269) implies:
% 170.24/25.92  | | | | | | | | | | | | | | |   (270)   ~ (all_52_13 = e1)
% 170.24/25.92  | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | BETA: splitting (152) gives:
% 170.24/25.92  | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | Case 1:
% 170.24/25.92  | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | |   (271)  all_56_2 = e1
% 170.24/25.92  | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | COMBINE_EQS: (101), (271) imply:
% 170.24/25.92  | | | | | | | | | | | | | | | |   (272)  all_52_1 = e1
% 170.24/25.92  | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | REDUCE: (189), (272) imply:
% 170.24/25.92  | | | | | | | | | | | | | | | |   (273)   ~ (all_6_1 = e1)
% 170.24/25.92  | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | SIMP: (273) implies:
% 170.24/25.92  | | | | | | | | | | | | | | | |   (274)   ~ (all_6_1 = e1)
% 170.24/25.92  | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (8), (9), (15), (16), (17), (27), (30),
% 170.24/25.92  | | | | | | | | | | | | | | | |            (42), (44), (54), (63), (64), (66), (68), (71),
% 170.24/25.92  | | | | | | | | | | | | | | | |            (72), (74), (78), (84), (88), (91), (101), (103),
% 170.24/25.92  | | | | | | | | | | | | | | | |            (106), (107), (118), (129), (131), (132), (136),
% 170.24/25.92  | | | | | | | | | | | | | | | |            (138), (141), (145), (147), (149), (150), (152),
% 170.24/25.92  | | | | | | | | | | | | | | | |            (153), (159), (169), (174), (175), (179), (180),
% 170.24/25.92  | | | | | | | | | | | | | | | |            (181), (187), (188), (197), (200), (201), (221),
% 170.24/25.92  | | | | | | | | | | | | | | | |            (224), (226), (230), (247), (250), (255), (257),
% 170.24/25.92  | | | | | | | | | | | | | | | |            (261), (266), (274) are inconsistent by sub-proof
% 170.24/25.92  | | | | | | | | | | | | | | | |            #82.
% 170.24/25.92  | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | Case 2:
% 170.24/25.92  | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | |   (275)  all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 170.24/25.92  | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | BETA: splitting (275) gives:
% 170.24/25.92  | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.92  | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | |   (276)  all_56_3 = e1
% 170.24/25.92  | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | COMBINE_EQS: (137), (276) imply:
% 170.24/25.92  | | | | | | | | | | | | | | | | |   (277)  all_4_2 = e1
% 170.24/25.92  | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | COMBINE_EQS: (149), (277) imply:
% 170.24/25.92  | | | | | | | | | | | | | | | | |   (278)  all_58_21 = e1
% 170.24/25.92  | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | REDUCE: (15), (277) imply:
% 170.24/25.92  | | | | | | | | | | | | | | | | |   (279)   ~ (all_52_4 = e1)
% 170.24/25.92  | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | REDUCE: (108), (277) imply:
% 170.24/25.92  | | | | | | | | | | | | | | | | |   (280)  op(e0, e1) = all_4_0
% 170.24/25.92  | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | BETA: splitting (261) gives:
% 170.24/25.92  | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | |   (281)  all_58_22 = e1
% 170.24/25.92  | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (226), (281) are inconsistent by sub-proof
% 170.24/25.92  | | | | | | | | | | | | | | | | | |            #923.
% 170.24/25.92  | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | |   (282)  all_58_20 = e3 | all_58_21 = e2
% 170.24/25.92  | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | BETA: splitting (282) gives:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | |   (283)  all_58_21 = e2
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (74), (278), (283) are inconsistent by sub-proof
% 170.24/25.92  | | | | | | | | | | | | | | | | | | |            #897.
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | |   (284)  all_58_20 = e3
% 170.24/25.92  | | | | | | | | | | | | | | | | | | |   (285)   ~ (all_58_21 = e2)
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (118), (284) imply:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | |   (286)  all_52_4 = e3
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | REDUCE: (278), (285) imply:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | |   (287)   ~ (e2 = e1)
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | REDUCE: (141), (286) imply:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | |   (288)   ~ (all_52_8 = e3)
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | SIMP: (288) implies:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | |   (289)   ~ (all_52_8 = e3)
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | BETA: splitting (11) gives:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | |   (290)   ~ (all_4_2 = e1)
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | REDUCE: (277), (290) imply:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | |   (291)  $false
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | CLOSE: (291) is inconsistent.
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | |   (292)   ~ (all_4_0 = e3)
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | |   (293)  all_58_26 = e1
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (44), (293) imply:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | |   (294)  all_10_2 = e1
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | SIMP: (294) implies:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | |   (295)  all_10_2 = e1
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (42), (295) imply:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | |   (296)  all_56_8 = e1
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (295) imply:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | |   (297)   ~ (all_52_2 = e1)
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (126) gives:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | |   (298)  all_56_4 = e3
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (112), (298) imply:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | |   (299)  all_52_8 = e3
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (289), (299) imply:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | |   (300)  $false
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (300) is inconsistent.
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | |   (301)  all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | |   (302)  all_56_5 = e3
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (219), (302) imply:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | |   (303)  e3 = e0
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (303) implies:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | |   (304)  e3 = e0
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (304) imply:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | |   (305)  all_58_20 = e0
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (282) gives:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | |   (306)  all_58_21 = e2
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (66), (71), (145), (149), (230), (306) are
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #123.
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (103), (284), (305) are inconsistent by sub-proof
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | |            #948.
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | |   (307)   ~ (all_56_5 = e3)
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | |   (308)  all_56_8 = e3 | all_56_14 = e3
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (219), (307) imply:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | |   (309)   ~ (e3 = e0)
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | |   (310)  all_56_12 = e1
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (187), (310) imply:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | |   (311)  all_6_1 = e1
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (311) implies:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | |   (312)  all_6_1 = e1
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (312) imply:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | |   (313)  op(e0, e1) = all_58_12
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  all_56_8 = e3
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (296), (314) imply:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  e3 = e1
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (315) implies:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  e3 = e1
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (316) imply:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  $false
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (317) is inconsistent.
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  all_56_14 = e3
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (35), (318) imply:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  all_52_11 = e3
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (319) implies:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  all_52_11 = e3
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (320) imply:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  op(e0, e1) = e3
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (145) with all_4_0, all_58_12, e1,
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |              e0, simplifying with (280), (313) gives:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  all_58_12 = all_4_0
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (145) with e3, all_58_12, e1, e0,
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (313), (321) gives:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  all_58_12 = e3
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (323) imply:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  all_4_0 = e3
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (324) implies:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  all_4_0 = e3
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (292), (325) imply:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  $false
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (326) is inconsistent.
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | |   (327)   ~ (all_56_12 = e1)
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (327) imply:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | |   (328)   ~ (all_6_1 = e1)
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (16), (64), (74), (91), (101), (103), (129),
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | |            (175), (186), (187), (188), (189), (197), (242),
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | |            (266), (297), (328) are inconsistent by sub-proof
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | |            #500.
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | |   (329)  all_58_24 = e3 | all_58_25 = e2
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (131), (153), (221), (289), (329) are inconsistent
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #849.
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.92  | | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | | End of split
% 170.24/25.92  | | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | End of split
% 170.24/25.92  | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.92  | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | |   (330)  all_56_5 = e1 | all_56_10 = e1
% 170.24/25.92  | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | | REF_CLOSE: (150), (159), (219), (270), (330) are inconsistent
% 170.24/25.92  | | | | | | | | | | | | | | | | |            by sub-proof #681.
% 170.24/25.92  | | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | End of split
% 170.24/25.92  | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | End of split
% 170.24/25.92  | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | Case 2:
% 170.24/25.92  | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | |   (331)   ~ (all_56_9 = e1)
% 170.24/25.92  | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | REDUCE: (68), (331) imply:
% 170.24/25.92  | | | | | | | | | | | | | | |   (332)   ~ (all_52_12 = e1)
% 170.24/25.92  | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | BETA: splitting (78) gives:
% 170.24/25.92  | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | Case 1:
% 170.24/25.92  | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | |   (333)  all_56_9 = e3
% 170.24/25.92  | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | COMBINE_EQS: (68), (333) imply:
% 170.24/25.92  | | | | | | | | | | | | | | | |   (334)  all_52_12 = e3
% 170.24/25.92  | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | REDUCE: (136), (334) imply:
% 170.24/25.92  | | | | | | | | | | | | | | | |   (335)   ~ (all_52_4 = e3)
% 170.24/25.92  | | | | | | | | | | | | | | | | 
% 170.24/25.92  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (66), (71), (118), (145), (149), (159),
% 170.24/25.93  | | | | | | | | | | | | | | | |            (226), (230), (261), (335) are inconsistent by
% 170.24/25.93  | | | | | | | | | | | | | | | |            sub-proof #105.
% 170.24/25.93  | | | | | | | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | | | | | | | Case 2:
% 170.24/25.93  | | | | | | | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | | | | | | | |   (336)   ~ (all_56_9 = e3)
% 170.24/25.93  | | | | | | | | | | | | | | | |   (337)  all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 170.24/25.93  | | | | | | | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | | | | | | | | REDUCE: (68), (336) imply:
% 170.24/25.93  | | | | | | | | | | | | | | | |   (338)   ~ (all_52_12 = e3)
% 170.24/25.93  | | | | | | | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 170.24/25.93  | | | | | | | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.93  | | | | | | | | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | | | | | | | | |   (339)  all_54_3 = e1
% 170.24/25.93  | | | | | | | | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (332), (339) are inconsistent by sub-proof
% 170.24/25.93  | | | | | | | | | | | | | | | | |            #894.
% 170.24/25.93  | | | | | | | | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.93  | | | | | | | | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | | | | | | | | |   (340)   ~ (all_54_3 = e1)
% 170.24/25.93  | | | | | | | | | | | | | | | | |   (341)  all_54_3 = e3 | all_54_3 = e2
% 170.24/25.93  | | | | | | | | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | | | | | | | | | BETA: splitting (341) gives:
% 170.24/25.93  | | | | | | | | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | | | | | | | | | Case 1:
% 170.24/25.93  | | | | | | | | | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | | | | | | | | | |   (342)  all_54_3 = e2
% 170.24/25.93  | | | | | | | | | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17), (342) imply:
% 170.24/25.93  | | | | | | | | | | | | | | | | | |   (343)  all_52_12 = e2
% 170.24/25.93  | | | | | | | | | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | | | | | | | | | | SIMP: (343) implies:
% 170.24/25.93  | | | | | | | | | | | | | | | | | |   (344)  all_52_12 = e2
% 170.24/25.93  | | | | | | | | | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (68), (344) imply:
% 170.24/25.93  | | | | | | | | | | | | | | | | | |   (345)  all_56_9 = e2
% 170.24/25.93  | | | | | | | | | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | | | | | | | | | | REDUCE: (132), (344) imply:
% 170.24/25.93  | | | | | | | | | | | | | | | | | |   (346)   ~ (all_52_14 = e2)
% 170.24/25.93  | | | | | | | | | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | | | | | | | | | | SIMP: (346) implies:
% 170.24/25.93  | | | | | | | | | | | | | | | | | |   (347)   ~ (all_52_14 = e2)
% 170.24/25.93  | | | | | | | | | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (8), (15), (27), (30), (42), (44), (54),
% 170.24/25.93  | | | | | | | | | | | | | | | | | |            (64), (66), (71), (74), (84), (88), (91), (103),
% 170.24/25.93  | | | | | | | | | | | | | | | | | |            (106), (107), (118), (129), (131), (138), (141),
% 170.24/25.93  | | | | | | | | | | | | | | | | | |            (145), (147), (149), (150), (153), (159), (174),
% 170.24/25.93  | | | | | | | | | | | | | | | | | |            (175), (179), (180), (200), (201), (221), (224),
% 170.24/25.93  | | | | | | | | | | | | | | | | | |            (226), (230), (250), (255), (257), (261), (337),
% 170.24/25.93  | | | | | | | | | | | | | | | | | |            (345), (347) are inconsistent by sub-proof #83.
% 170.24/25.93  | | | | | | | | | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | | | | | | | | | Case 2:
% 170.24/25.93  | | | | | | | | | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | | | | | | | | | |   (348)  all_54_3 = e3
% 170.24/25.93  | | | | | | | | | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (338), (348) are inconsistent by sub-proof
% 170.24/25.93  | | | | | | | | | | | | | | | | | |            #892.
% 170.24/25.93  | | | | | | | | | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | | | | | | | | | End of split
% 170.24/25.93  | | | | | | | | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | | | | | | | | End of split
% 170.24/25.93  | | | | | | | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | | | | | | | End of split
% 170.24/25.93  | | | | | | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | | | | | | End of split
% 170.24/25.93  | | | | | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | | | | | End of split
% 170.24/25.93  | | | | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | | | | End of split
% 170.24/25.93  | | | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | | | End of split
% 170.24/25.93  | | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | | End of split
% 170.24/25.93  | | | | | | | | | | 
% 170.24/25.93  | | | | | | | | | End of split
% 170.24/25.93  | | | | | | | | | 
% 170.24/25.93  | | | | | | | | End of split
% 170.24/25.93  | | | | | | | | 
% 170.24/25.93  | | | | | | | End of split
% 170.24/25.93  | | | | | | | 
% 170.24/25.93  | | | | | | Case 2:
% 170.24/25.93  | | | | | | | 
% 170.24/25.93  | | | | | | |   (349)  all_56_8 = e0 | all_56_11 = e0
% 170.24/25.93  | | | | | | | 
% 170.24/25.93  | | | | | | | REF_CLOSE: (8), (42), (54), (205), (349) are inconsistent by
% 170.24/25.93  | | | | | | |            sub-proof #912.
% 170.24/25.93  | | | | | | | 
% 170.24/25.93  | | | | | | End of split
% 170.24/25.93  | | | | | | 
% 170.24/25.93  | | | | | Case 2:
% 170.24/25.93  | | | | | | 
% 170.24/25.93  | | | | | |   (350)  all_56_8 = e0 | all_56_14 = e0
% 170.24/25.93  | | | | | | 
% 170.24/25.93  | | | | | | REF_CLOSE: (8), (35), (42), (204), (350) are inconsistent by
% 170.24/25.93  | | | | | |            sub-proof #914.
% 170.24/25.93  | | | | | | 
% 170.24/25.93  | | | | | End of split
% 170.24/25.93  | | | | | 
% 170.24/25.93  | | | | End of split
% 170.24/25.93  | | | | 
% 170.24/25.93  | | | End of split
% 170.24/25.93  | | | 
% 170.24/25.93  | | Case 2:
% 170.24/25.93  | | | 
% 170.24/25.93  | | |   (351)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) & (all_56_12 =
% 170.24/25.93  | | |            e0 | all_56_13 = e0 | all_56_14 = e0)
% 170.24/25.93  | | | 
% 170.24/25.93  | | | ALPHA: (351) implies:
% 170.24/25.93  | | |   (352)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 170.24/25.93  | | |   (353)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 170.24/25.93  | | | 
% 170.24/25.93  | | | BETA: splitting (123) gives:
% 170.24/25.93  | | | 
% 170.24/25.93  | | | Case 1:
% 170.24/25.93  | | | | 
% 170.24/25.93  | | | |   (354)  all_56_6 = e0
% 170.24/25.93  | | | | 
% 170.24/25.93  | | | | COMBINE_EQS: (129), (354) imply:
% 170.24/25.93  | | | |   (355)  all_52_2 = e0
% 170.24/25.93  | | | | 
% 170.24/25.93  | | | | REDUCE: (177), (355) imply:
% 170.24/25.93  | | | |   (356)  $false
% 170.24/25.93  | | | | 
% 170.24/25.93  | | | | CLOSE: (356) is inconsistent.
% 170.24/25.93  | | | | 
% 170.24/25.93  | | | Case 2:
% 170.24/25.93  | | | | 
% 170.24/25.93  | | | |   (357)   ~ (all_56_6 = e0)
% 170.24/25.93  | | | |   (358)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.24/25.93  | | | | 
% 170.24/25.93  | | | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (10), (12), (15), (16),
% 170.24/25.93  | | | |            (17), (18), (22), (23), (24), (26), (27), (29), (30), (31),
% 170.24/25.93  | | | |            (32), (34), (35), (36), (37), (38), (39), (42), (43), (44),
% 170.24/25.93  | | | |            (45), (46), (47), (48), (50), (52), (53), (54), (55), (57),
% 170.24/25.93  | | | |            (58), (59), (60), (61), (62), (64), (68), (69), (70), (72),
% 170.24/25.93  | | | |            (73), (74), (75), (76), (77), (80), (81), (82), (83), (84),
% 170.24/25.93  | | | |            (85), (86), (87), (88), (89), (91), (92), (95), (97), (98),
% 170.24/25.93  | | | |            (99), (101), (103), (105), (106), (107), (109), (110), (111),
% 170.24/25.93  | | | |            (112), (113), (115), (116), (118), (119), (120), (121),
% 170.24/25.93  | | | |            (122), (123), (124), (125), (126), (128), (129), (130),
% 170.24/25.93  | | | |            (131), (132), (133), (134), (136), (137), (139), (141),
% 170.24/25.93  | | | |            (142), (143), (144), (145), (147), (149), (150), (151),
% 170.24/25.93  | | | |            (152), (153), (155), (156), (157), (158), (159), (160),
% 170.24/25.93  | | | |            (161), (162), (163), (164), (166), (167), (168), (169),
% 170.24/25.93  | | | |            (170), (171), (172), (174), (175), (176), (177), (179),
% 170.24/25.93  | | | |            (180), (181), (185), (187), (188), (189), (190), (192),
% 170.24/25.93  | | | |            (194), (197), (352), (353), (358) are inconsistent by
% 170.24/25.93  | | | |            sub-proof #79.
% 170.24/25.93  | | | | 
% 170.24/25.93  | | | End of split
% 170.24/25.93  | | | 
% 170.24/25.93  | | End of split
% 170.24/25.93  | | 
% 170.24/25.93  | Case 2:
% 170.24/25.93  | | 
% 170.24/25.93  | |   (359)  all_48_2 = e1
% 170.24/25.93  | | 
% 170.24/25.93  | | COMBINE_EQS: (41), (359) imply:
% 170.24/25.93  | |   (360)  all_14_2 = e1
% 170.24/25.93  | | 
% 170.24/25.93  | | SIMP: (360) implies:
% 170.24/25.93  | |   (361)  all_14_2 = e1
% 170.24/25.93  | | 
% 170.24/25.93  | | COMBINE_EQS: (27), (361) imply:
% 170.24/25.93  | |   (362)  all_56_15 = e1
% 170.24/25.93  | | 
% 170.24/25.93  | | BETA: splitting (123) gives:
% 170.24/25.93  | | 
% 170.24/25.93  | | Case 1:
% 170.24/25.93  | | | 
% 170.24/25.93  | | |   (363)  all_56_6 = e0
% 170.24/25.93  | | | 
% 170.24/25.93  | | | COMBINE_EQS: (129), (363) imply:
% 170.24/25.93  | | |   (364)  all_52_2 = e0
% 170.24/25.93  | | | 
% 170.24/25.93  | | | REDUCE: (177), (364) imply:
% 170.24/25.93  | | |   (365)  $false
% 170.24/25.93  | | | 
% 170.24/25.93  | | | CLOSE: (365) is inconsistent.
% 170.24/25.93  | | | 
% 170.24/25.93  | | Case 2:
% 170.24/25.93  | | | 
% 170.24/25.93  | | |   (366)   ~ (all_56_6 = e0)
% 170.24/25.93  | | |   (367)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.24/25.93  | | | 
% 170.24/25.93  | | | BETA: splitting (6) gives:
% 170.24/25.93  | | | 
% 170.24/25.93  | | | Case 1:
% 170.24/25.93  | | | | 
% 170.24/25.93  | | | |   (368)  all_56_15 = e0
% 170.24/25.93  | | | | 
% 170.24/25.93  | | | | REF_CLOSE: (159), (362), (368) are inconsistent by sub-proof #657.
% 170.24/25.93  | | | | 
% 170.24/25.93  | | | Case 2:
% 170.24/25.93  | | | | 
% 170.24/25.93  | | | |   (369)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) & (all_56_12
% 170.24/25.93  | | | |            = e0 | all_56_13 = e0 | all_56_14 = e0)
% 170.24/25.93  | | | | 
% 170.24/25.93  | | | | ALPHA: (369) implies:
% 170.24/25.93  | | | |   (370)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 170.24/25.93  | | | |   (371)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 170.24/25.93  | | | | 
% 170.24/25.93  | | | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (10), (12), (15), (16),
% 170.24/25.93  | | | |            (17), (18), (22), (23), (24), (26), (27), (29), (30), (31),
% 170.24/25.93  | | | |            (32), (34), (35), (36), (37), (38), (39), (42), (43), (44),
% 170.24/25.93  | | | |            (45), (46), (47), (48), (50), (52), (53), (54), (55), (57),
% 170.24/25.93  | | | |            (58), (59), (60), (61), (62), (64), (68), (69), (70), (72),
% 170.24/25.93  | | | |            (73), (74), (75), (76), (77), (80), (81), (82), (83), (84),
% 170.24/25.93  | | | |            (85), (86), (87), (88), (89), (91), (92), (95), (97), (98),
% 170.24/25.93  | | | |            (99), (101), (103), (105), (106), (107), (109), (110), (111),
% 170.24/25.93  | | | |            (112), (113), (115), (116), (118), (119), (120), (121),
% 170.24/25.93  | | | |            (122), (123), (124), (125), (126), (128), (129), (130),
% 170.24/25.93  | | | |            (131), (132), (133), (134), (136), (137), (139), (141),
% 170.24/25.93  | | | |            (142), (143), (144), (145), (147), (149), (150), (151),
% 170.24/25.93  | | | |            (152), (153), (155), (156), (157), (158), (159), (160),
% 170.24/25.93  | | | |            (161), (162), (163), (164), (166), (167), (168), (169),
% 170.24/25.93  | | | |            (170), (171), (172), (174), (175), (176), (177), (179),
% 170.24/25.93  | | | |            (180), (181), (185), (187), (188), (189), (190), (192),
% 170.24/25.93  | | | |            (194), (197), (367), (370), (371) are inconsistent by
% 170.24/25.93  | | | |            sub-proof #79.
% 170.24/25.93  | | | | 
% 170.24/25.93  | | | End of split
% 170.24/25.93  | | | 
% 170.24/25.93  | | End of split
% 170.24/25.93  | | 
% 170.24/25.93  | End of split
% 170.24/25.93  | 
% 170.24/25.93  End of proof
% 170.24/25.93  
% 170.24/25.93  Sub-proof #79 shows that the following formulas are inconsistent:
% 170.24/25.93  ----------------------------------------------------------------
% 170.24/25.93    (1)   ~ (all_52_12 = all_14_2)
% 170.24/25.93    (2)  op(e0, e0) = all_14_2
% 170.24/25.93    (3)  all_56_1 = all_52_4
% 170.24/25.93    (4)  op(all_4_2, e2) = e0
% 170.24/25.93    (5)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 170.24/25.93    (6)  op(e1, all_52_14) = all_58_11
% 170.24/25.93    (7)   ~ (all_10_2 = e0)
% 170.24/25.93    (8)   ~ (all_52_8 = all_52_12)
% 170.24/25.93    (9)   ~ (e3 = e1)
% 170.24/25.93    (10)  all_58_23 = all_52_7
% 170.24/25.93    (11)   ~ (all_52_4 = all_4_2)
% 170.24/25.93    (12)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.24/25.93    (13)  all_54_3 = all_52_12
% 170.24/25.93    (14)  all_56_5 = all_52_9
% 170.24/25.93    (15)  op(e2, e0) = all_52_13
% 170.24/25.93    (16)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 170.24/25.93    (17)   ~ (all_52_6 = all_4_2)
% 170.24/25.93    (18)   ~ (all_52_7 = all_6_1)
% 170.24/25.93    (19)   ~ (all_52_2 = all_6_1)
% 170.24/25.93    (20)  op(e1, e0) = all_52_14
% 170.24/25.93    (21)  all_56_15 = all_14_2
% 170.24/25.93    (22)  op(e0, e2) = all_52_7
% 170.24/25.93    (23)  all_58_19 = all_6_1
% 170.24/25.93    (24)  all_54_1 = all_52_4
% 170.24/25.93    (25)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 170.24/25.93    (26)   ~ (all_52_9 = all_4_2)
% 170.24/25.93    (27)   ~ (all_52_1 = all_6_1)
% 170.24/25.93    (28)  all_54_6 = all_52_9
% 170.24/25.93    (29)  all_56_14 = all_52_11
% 170.24/25.93    (30)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 170.24/25.93    (31)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 170.24/25.93    (32)   ~ (all_52_13 = all_4_2)
% 170.24/25.93    (33)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.24/25.93    (34)  all_56_8 = all_10_2
% 170.24/25.93    (35)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.24/25.93    (36)  all_58_26 = all_10_2
% 170.24/25.93    (37)   ~ (all_52_4 = all_52_6)
% 170.24/25.93    (38)  all_58_31 = all_14_2
% 170.24/25.93    (39)   ~ (all_52_11 = all_10_2)
% 170.24/25.93    (40)   ~ (all_52_9 = all_52_13)
% 170.24/25.93    (41)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 170.24/25.93    (42)   ~ (all_52_4 = e0)
% 170.24/25.93    (43)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 170.24/25.93    (44)  all_54_2 = all_52_8
% 170.24/25.93    (45)  all_56_11 = all_52_14
% 170.24/25.93    (46)   ~ (all_52_6 = all_52_7)
% 170.24/25.93    (47)   ~ (all_52_9 = all_10_2)
% 170.24/25.93    (48)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 170.24/25.93    (49)  all_58_30 = all_52_14
% 170.24/25.93    (50)  all_58_27 = all_52_11
% 170.24/25.93    (51)  all_54_14 = all_52_11
% 170.24/25.93    (52)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 170.24/25.93    (53)  all_58_17 = all_52_1
% 170.24/25.93    (54)  all_56_9 = all_52_12
% 170.24/25.93    (55)   ~ (all_52_2 = all_52_6)
% 170.24/25.93    (56)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 170.24/25.93    (57)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.24/25.93    (58)   ~ (e3 = e2)
% 170.24/25.93    (59)   ~ (all_52_11 = all_6_1)
% 170.24/25.93    (60)   ~ (all_52_4 = all_52_7)
% 170.24/25.93    (61)  all_58_0 = all_52_12
% 170.24/25.93    (62)   ~ (e2 = e1)
% 170.24/25.93    (63)   ~ (all_52_6 = all_10_2)
% 170.24/25.93    (64)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 170.24/25.93    (65)  op(e0, all_52_11) = all_58_14
% 170.24/25.93    (66)   ~ (all_52_2 = e0)
% 170.24/25.93    (67)   ~ (all_52_7 = all_14_2)
% 170.24/25.93    (68)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 170.24/25.93    (69)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 170.24/25.93    (70)   ~ (all_52_13 = all_14_2)
% 170.24/25.93    (71)   ~ (all_52_1 = all_4_2)
% 170.24/25.93    (72)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.24/25.93    (73)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 170.24/25.93    (74)  all_54_9 = all_52_6
% 170.24/25.93    (75)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.24/25.93    (76)   ~ (all_52_13 = all_52_14)
% 170.24/25.93    (77)  all_58_18 = all_52_2
% 170.24/25.93    (78)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.24/25.93    (79)  all_58_16 = e0
% 170.24/25.93    (80)  all_56_13 = all_52_7
% 170.24/25.93    (81)   ~ (all_52_12 = e0)
% 170.24/25.93    (82)  op(e0, all_52_7) = all_58_13
% 170.24/25.93    (83)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 170.24/25.93    (84)   ~ (all_52_8 = all_52_9)
% 170.24/25.93    (85)  all_56_2 = all_52_1
% 170.24/25.93    (86)   ~ (e3 = e0)
% 170.24/25.93    (87)  all_58_29 = all_52_13
% 170.24/25.93    (88)   ~ (all_52_1 = all_52_2)
% 170.24/25.93    (89)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 170.24/25.93    (90)   ~ (all_52_6 = all_52_14)
% 170.24/25.93    (91)   ~ (all_52_7 = all_4_2)
% 170.24/25.93    (92)   ~ (all_52_8 = all_10_2)
% 170.24/25.93    (93)  all_56_4 = all_52_8
% 170.24/25.93    (94)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.24/25.93    (95)   ~ (all_52_1 = all_52_13)
% 170.24/25.93    (96)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 170.24/25.93    (97)  all_58_20 = all_52_4
% 170.24/25.93    (98)  all_54_13 = all_52_7
% 170.24/25.93    (99)  all_54_15 = all_14_2
% 170.24/25.93    (100)   ~ (all_52_7 = all_52_11)
% 170.24/25.93    (101)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 170.24/25.93    (102)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.24/25.93    (103)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.24/25.93    (104)   ~ (all_52_8 = all_52_11)
% 170.24/25.93    (105)  all_56_12 = all_6_1
% 170.24/25.93    (106)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 170.24/25.93    (107)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 170.24/25.93    (108)  all_56_6 = all_52_2
% 170.24/25.93    (109)   ~ (all_52_1 = all_52_9)
% 170.24/25.93    (110)  all_58_24 = all_52_8
% 170.24/25.93    (111)   ~ (all_52_12 = all_52_14)
% 170.24/25.93    (112)   ~ (all_52_9 = all_52_11)
% 170.24/25.93    (113)  all_58_22 = all_52_6
% 170.24/25.93    (114)   ~ (all_52_4 = all_52_12)
% 170.24/25.93    (115)  all_56_3 = all_4_2
% 170.24/25.93    (116)   ~ (all_52_14 = all_10_2)
% 170.24/25.93    (117)   ~ (all_52_1 = e0)
% 170.24/25.93    (118)   ~ (all_52_4 = all_52_8)
% 170.24/25.93    (119)   ~ (all_52_14 = all_14_2)
% 170.24/25.93    (120)  all_58_25 = all_52_9
% 170.24/25.93    (121)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 170.24/25.93    (122)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.24/25.93             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.24/25.93    (123)   ~ (all_6_1 = e0)
% 170.24/25.93    (124)   ~ (all_52_2 = all_52_14)
% 170.24/25.93    (125)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 170.24/25.93    (126)  all_58_21 = all_4_2
% 170.24/25.93    (127)  all_56_10 = all_52_13
% 170.24/25.93    (128)  op(e2, all_52_9) = all_58_6
% 170.24/25.93    (129)  all_56_0 = e0
% 170.24/25.93    (130)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 170.24/25.93    (131)   ~ (e2 = e0)
% 170.24/25.93    (132)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 170.24/25.93    (133)  all_58_28 = all_52_12
% 170.24/25.93    (134)  op(e1, all_52_6) = all_58_9
% 170.24/25.93    (135)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 170.24/25.93    (136)   ~ (e1 = e0)
% 170.24/25.93    (137)  all_54_4 = all_52_1
% 170.24/25.93    (138)  all_56_7 = all_52_6
% 170.24/25.93    (139)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 170.24/25.93             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 170.24/25.93             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 170.24/25.93             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 170.24/25.93             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 170.24/25.93             (all_58_15 = e0))
% 170.24/25.93    (140)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 170.24/25.93    (141)   ~ (all_52_8 = e0)
% 170.24/25.93    (142)  all_54_5 = all_4_2
% 170.24/25.93    (143)  op(e2, all_52_13) = all_58_7
% 170.24/25.93    (144)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.24/25.93           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.24/25.93           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.24/25.93           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.24/25.93           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.24/25.93           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.24/25.93           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.24/25.93           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.24/25.93           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.24/25.93           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.24/25.93             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.24/25.93             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.24/25.93             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.24/25.93             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.24/25.93             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.24/25.93             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.24/25.93             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.24/25.93             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.24/25.93             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.24/25.93             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.24/25.93             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.24/25.93             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.24/25.93             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.24/25.93             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.24/25.93             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.24/25.93             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.24/25.93           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.24/25.93           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.24/25.93           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.24/25.93             all_58_30 = e0 & e1 = e0)
% 170.24/25.93    (145)  all_54_7 = all_52_13
% 170.24/25.93    (146)   ~ (all_52_2 = all_10_2)
% 170.24/25.93    (147)  all_54_11 = all_52_14
% 170.24/25.93    (148)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 170.24/25.93    (149)   ~ (all_52_12 = all_52_13)
% 170.24/25.93  
% 170.24/25.93  Begin of proof
% 170.24/25.93  | 
% 170.24/25.93  | BETA: splitting (132) gives:
% 170.24/25.93  | 
% 170.24/25.93  | Case 1:
% 170.24/25.93  | | 
% 170.24/25.93  | |   (150)  all_54_13 = e0
% 170.24/25.93  | | 
% 170.24/25.93  | | COMBINE_EQS: (98), (150) imply:
% 170.24/25.93  | |   (151)  all_52_7 = e0
% 170.24/25.93  | | 
% 170.24/25.93  | | SIMP: (151) implies:
% 170.24/25.93  | |   (152)  all_52_7 = e0
% 170.24/25.93  | | 
% 170.24/25.93  | | REDUCE: (67), (152) imply:
% 170.24/25.93  | |   (153)   ~ (all_14_2 = e0)
% 170.24/25.93  | | 
% 170.24/25.93  | | SIMP: (153) implies:
% 170.24/25.93  | |   (154)   ~ (all_14_2 = e0)
% 170.24/25.93  | | 
% 170.24/25.93  | | REDUCE: (18), (152) imply:
% 170.24/25.93  | |   (155)   ~ (all_6_1 = e0)
% 170.24/25.93  | | 
% 170.24/25.93  | | REDUCE: (91), (152) imply:
% 170.24/25.93  | |   (156)   ~ (all_4_2 = e0)
% 170.24/25.93  | | 
% 170.24/25.93  | | SIMP: (156) implies:
% 170.24/25.93  | |   (157)   ~ (all_4_2 = e0)
% 170.24/25.93  | | 
% 170.24/25.93  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 170.24/25.93  | |            (14), (15), (16), (17), (18), (19), (20), (21), (23), (24), (25),
% 170.24/25.93  | |            (26), (27), (28), (29), (30), (31), (33), (34), (35), (36), (37),
% 170.24/25.93  | |            (38), (39), (40), (41), (42), (43), (44), (45), (46), (47), (48),
% 170.24/25.93  | |            (49), (50), (51), (52), (53), (54), (55), (56), (58), (59), (60),
% 170.24/25.93  | |            (61), (62), (63), (64), (65), (66), (68), (69), (70), (71), (72),
% 170.24/25.93  | |            (73), (74), (75), (76), (77), (78), (79), (80), (81), (82), (83),
% 170.24/25.93  | |            (84), (85), (86), (87), (88), (89), (90), (91), (92), (93), (94),
% 170.24/25.93  | |            (95), (96), (97), (99), (100), (101), (102), (103), (104), (105),
% 170.24/25.93  | |            (106), (107), (108), (109), (110), (111), (112), (113), (114),
% 170.24/25.93  | |            (115), (116), (117), (118), (119), (120), (121), (122), (123),
% 170.24/25.93  | |            (124), (126), (127), (128), (129), (130), (131), (133), (134),
% 170.24/25.93  | |            (135), (136), (137), (138), (139), (140), (141), (142), (143),
% 170.24/25.93  | |            (144), (145), (146), (147), (148), (149), (154), (157) are
% 170.24/25.93  | |            inconsistent by sub-proof #578.
% 170.24/25.93  | | 
% 170.24/25.93  | Case 2:
% 170.24/25.93  | | 
% 170.24/25.94  | |   (158)   ~ (all_54_13 = e0)
% 170.24/25.94  | | 
% 170.24/25.94  | | REDUCE: (98), (158) imply:
% 170.24/25.94  | |   (159)   ~ (all_52_7 = e0)
% 170.24/25.94  | | 
% 170.24/25.94  | | BETA: splitting (5) gives:
% 170.24/25.94  | | 
% 170.24/25.94  | | Case 1:
% 170.24/25.94  | | | 
% 170.24/25.94  | | |   (160)  all_56_12 = e0
% 170.24/25.94  | | | 
% 170.24/25.94  | | | REF_CLOSE: (105), (123), (160) are inconsistent by sub-proof #631.
% 170.24/25.94  | | | 
% 170.24/25.94  | | Case 2:
% 170.24/25.94  | | | 
% 170.24/25.94  | | |   (161)  all_56_13 = e0 | all_56_14 = e0
% 170.24/25.94  | | | 
% 170.24/25.94  | | | BETA: splitting (161) gives:
% 170.24/25.94  | | | 
% 170.24/25.94  | | | Case 1:
% 170.24/25.94  | | | | 
% 170.24/25.94  | | | |   (162)  all_56_13 = e0
% 170.24/25.94  | | | | 
% 170.24/25.94  | | | | REF_CLOSE: (80), (159), (162) are inconsistent by sub-proof #942.
% 170.24/25.94  | | | | 
% 170.24/25.94  | | | Case 2:
% 170.24/25.94  | | | | 
% 170.24/25.94  | | | |   (163)  all_56_14 = e0
% 170.24/25.94  | | | | 
% 170.24/25.94  | | | | COMBINE_EQS: (29), (163) imply:
% 170.24/25.94  | | | |   (164)  all_52_11 = e0
% 170.24/25.94  | | | | 
% 170.24/25.94  | | | | SIMP: (164) implies:
% 170.24/25.94  | | | |   (165)  all_52_11 = e0
% 170.24/25.94  | | | | 
% 170.24/25.94  | | | | REDUCE: (112), (165) imply:
% 170.24/25.94  | | | |   (166)   ~ (all_52_9 = e0)
% 170.24/25.94  | | | | 
% 170.24/25.94  | | | | REDUCE: (39), (165) imply:
% 170.24/25.94  | | | |   (167)   ~ (all_10_2 = e0)
% 170.24/25.94  | | | | 
% 170.24/25.94  | | | | REDUCE: (59), (165) imply:
% 170.24/25.94  | | | |   (168)   ~ (all_6_1 = e0)
% 170.24/25.94  | | | | 
% 170.24/25.94  | | | | REDUCE: (65), (165) imply:
% 170.24/25.94  | | | |   (169)  op(e0, e0) = all_58_14
% 170.24/25.94  | | | | 
% 170.24/25.94  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 170.24/25.94  | | | |            (12), (13), (14), (15), (16), (17), (18), (19), (20), (21),
% 170.24/25.94  | | | |            (22), (23), (24), (25), (26), (27), (28), (29), (30), (31),
% 170.24/25.94  | | | |            (32), (33), (34), (35), (36), (37), (38), (39), (40), (41),
% 170.24/25.94  | | | |            (42), (43), (44), (45), (46), (47), (48), (49), (50), (51),
% 170.24/25.94  | | | |            (52), (53), (54), (55), (56), (57), (58), (59), (60), (61),
% 170.24/25.94  | | | |            (62), (63), (64), (65), (68), (69), (70), (71), (72), (73),
% 170.24/25.94  | | | |            (74), (75), (76), (77), (78), (79), (80), (81), (82), (83),
% 170.24/25.94  | | | |            (84), (85), (86), (87), (88), (89), (90), (91), (92), (93),
% 170.24/25.94  | | | |            (94), (95), (96), (97), (99), (100), (101), (103), (104),
% 170.24/25.94  | | | |            (105), (106), (107), (108), (109), (110), (111), (112),
% 170.24/25.94  | | | |            (113), (114), (115), (116), (117), (118), (119), (120),
% 170.24/25.94  | | | |            (121), (122), (123), (124), (125), (126), (127), (128),
% 170.24/25.94  | | | |            (129), (130), (131), (133), (134), (135), (136), (137),
% 170.24/25.94  | | | |            (138), (139), (140), (141), (142), (143), (144), (145),
% 170.24/25.94  | | | |            (146), (147), (148), (149), (166), (169) are inconsistent by
% 170.24/25.94  | | | |            sub-proof #80.
% 170.24/25.94  | | | | 
% 170.24/25.94  | | | End of split
% 170.24/25.94  | | | 
% 170.24/25.94  | | End of split
% 170.24/25.94  | | 
% 170.24/25.94  | End of split
% 170.24/25.94  | 
% 170.24/25.94  End of proof
% 170.24/25.94  
% 170.24/25.94  Sub-proof #80 shows that the following formulas are inconsistent:
% 170.24/25.94  ----------------------------------------------------------------
% 170.24/25.94    (1)   ~ (all_52_12 = all_14_2)
% 170.24/25.94    (2)  op(e0, e0) = all_14_2
% 170.24/25.94    (3)  all_56_1 = all_52_4
% 170.24/25.94    (4)  op(all_4_2, e2) = e0
% 170.24/25.94    (5)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 170.24/25.94    (6)  op(e1, all_52_14) = all_58_11
% 170.24/25.94    (7)   ~ (all_10_2 = e0)
% 170.24/25.94    (8)   ~ (all_52_8 = all_52_12)
% 170.24/25.94    (9)   ~ (e3 = e1)
% 170.24/25.94    (10)  all_58_23 = all_52_7
% 170.24/25.94    (11)   ~ (all_52_4 = all_4_2)
% 170.24/25.94    (12)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.24/25.94    (13)  all_54_3 = all_52_12
% 170.24/25.94    (14)  all_56_5 = all_52_9
% 170.24/25.94    (15)  op(e2, e0) = all_52_13
% 170.24/25.94    (16)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 170.24/25.94    (17)   ~ (all_52_6 = all_4_2)
% 170.24/25.94    (18)   ~ (all_52_7 = all_6_1)
% 170.24/25.94    (19)   ~ (all_52_2 = all_6_1)
% 170.24/25.94    (20)  op(e1, e0) = all_52_14
% 170.24/25.94    (21)  all_56_15 = all_14_2
% 170.24/25.94    (22)  op(e0, e2) = all_52_7
% 170.24/25.94    (23)  all_58_19 = all_6_1
% 170.24/25.94    (24)  all_54_1 = all_52_4
% 170.24/25.94    (25)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 170.24/25.94    (26)   ~ (all_52_9 = all_4_2)
% 170.24/25.94    (27)   ~ (all_52_1 = all_6_1)
% 170.24/25.94    (28)  all_54_6 = all_52_9
% 170.24/25.94    (29)  all_56_14 = all_52_11
% 170.24/25.94    (30)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 170.24/25.94    (31)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 170.24/25.94    (32)   ~ (all_52_13 = all_4_2)
% 170.24/25.94    (33)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.24/25.94    (34)  all_56_8 = all_10_2
% 170.24/25.94    (35)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.24/25.94    (36)   ~ (all_52_9 = e0)
% 170.24/25.94    (37)  all_58_26 = all_10_2
% 170.24/25.94    (38)   ~ (all_52_4 = all_52_6)
% 170.24/25.94    (39)  op(e0, e0) = all_58_14
% 170.24/25.94    (40)  all_58_31 = all_14_2
% 170.24/25.94    (41)   ~ (all_52_11 = all_10_2)
% 170.24/25.94    (42)   ~ (all_52_9 = all_52_13)
% 170.24/25.94    (43)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 170.24/25.94    (44)   ~ (all_52_4 = e0)
% 170.24/25.94    (45)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 170.24/25.94    (46)  all_54_2 = all_52_8
% 170.24/25.94    (47)  all_56_11 = all_52_14
% 170.24/25.94    (48)   ~ (all_52_6 = all_52_7)
% 170.24/25.94    (49)   ~ (all_52_9 = all_10_2)
% 170.24/25.94    (50)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 170.24/25.94    (51)  all_58_30 = all_52_14
% 170.24/25.94    (52)  all_58_27 = all_52_11
% 170.24/25.94    (53)  all_54_14 = all_52_11
% 170.24/25.94    (54)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 170.24/25.94    (55)  all_58_17 = all_52_1
% 170.24/25.94    (56)  all_56_9 = all_52_12
% 170.24/25.94    (57)   ~ (all_52_2 = all_52_6)
% 170.24/25.94    (58)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 170.24/25.94    (59)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.24/25.94    (60)   ~ (e3 = e2)
% 170.24/25.94    (61)   ~ (all_52_11 = all_6_1)
% 170.24/25.94    (62)   ~ (all_52_4 = all_52_7)
% 170.24/25.94    (63)  all_58_0 = all_52_12
% 170.24/25.94    (64)   ~ (e2 = e1)
% 170.24/25.94    (65)   ~ (all_52_6 = all_10_2)
% 170.24/25.94    (66)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 170.24/25.94    (67)  op(e0, all_52_11) = all_58_14
% 170.24/25.94    (68)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 170.24/25.94    (69)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 170.24/25.94    (70)   ~ (all_52_13 = all_14_2)
% 170.24/25.94    (71)   ~ (all_52_1 = all_4_2)
% 170.24/25.94    (72)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.24/25.94    (73)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 170.24/25.94    (74)  all_54_9 = all_52_6
% 170.24/25.94    (75)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.24/25.94    (76)   ~ (all_52_13 = all_52_14)
% 170.24/25.94    (77)  all_58_18 = all_52_2
% 170.24/25.94    (78)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.24/25.94    (79)  all_58_16 = e0
% 170.24/25.94    (80)  all_56_13 = all_52_7
% 170.24/25.94    (81)   ~ (all_52_12 = e0)
% 170.24/25.94    (82)  op(e0, all_52_7) = all_58_13
% 170.24/25.94    (83)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 170.24/25.94    (84)   ~ (all_52_8 = all_52_9)
% 170.24/25.94    (85)  all_56_2 = all_52_1
% 170.24/25.94    (86)   ~ (e3 = e0)
% 170.24/25.94    (87)  all_58_29 = all_52_13
% 170.24/25.94    (88)   ~ (all_52_1 = all_52_2)
% 170.24/25.94    (89)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 170.24/25.94    (90)   ~ (all_52_6 = all_52_14)
% 170.24/25.94    (91)   ~ (all_52_7 = all_4_2)
% 170.24/25.94    (92)   ~ (all_52_8 = all_10_2)
% 170.24/25.94    (93)  all_56_4 = all_52_8
% 170.24/25.94    (94)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.24/25.94    (95)   ~ (all_52_1 = all_52_13)
% 170.24/25.94    (96)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 170.24/25.94    (97)  all_58_20 = all_52_4
% 170.24/25.94    (98)  all_54_15 = all_14_2
% 170.24/25.94    (99)   ~ (all_52_7 = all_52_11)
% 170.24/25.94    (100)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 170.24/25.94    (101)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.24/25.94    (102)   ~ (all_52_8 = all_52_11)
% 170.24/25.94    (103)  all_56_12 = all_6_1
% 170.24/25.94    (104)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 170.24/25.94    (105)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 170.24/25.94    (106)  all_56_6 = all_52_2
% 170.24/25.94    (107)   ~ (all_52_1 = all_52_9)
% 170.24/25.94    (108)  all_58_24 = all_52_8
% 170.24/25.94    (109)   ~ (all_52_12 = all_52_14)
% 170.24/25.94    (110)   ~ (all_52_9 = all_52_11)
% 170.24/25.94    (111)  all_58_22 = all_52_6
% 170.24/25.94    (112)   ~ (all_52_4 = all_52_12)
% 170.24/25.94    (113)  all_56_3 = all_4_2
% 170.24/25.94    (114)   ~ (all_52_14 = all_10_2)
% 170.24/25.94    (115)   ~ (all_52_1 = e0)
% 170.24/25.94    (116)   ~ (all_52_4 = all_52_8)
% 170.24/25.94    (117)   ~ (all_52_14 = all_14_2)
% 170.24/25.94    (118)  all_58_25 = all_52_9
% 170.24/25.94    (119)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 170.24/25.94    (120)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.24/25.94             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.24/25.94    (121)   ~ (all_6_1 = e0)
% 170.24/25.94    (122)   ~ (all_52_2 = all_52_14)
% 170.24/25.94    (123)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 170.24/25.94    (124)  all_58_21 = all_4_2
% 170.24/25.94    (125)  all_56_10 = all_52_13
% 170.24/25.94    (126)  op(e2, all_52_9) = all_58_6
% 170.24/25.94    (127)  all_56_0 = e0
% 170.24/25.94    (128)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 170.24/25.94    (129)   ~ (e2 = e0)
% 170.24/25.94    (130)  all_58_28 = all_52_12
% 170.24/25.94    (131)  op(e1, all_52_6) = all_58_9
% 170.24/25.94    (132)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 170.24/25.94    (133)   ~ (e1 = e0)
% 170.24/25.94    (134)  all_54_4 = all_52_1
% 170.24/25.94    (135)  all_56_7 = all_52_6
% 170.24/25.94    (136)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 170.24/25.94             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 170.24/25.94             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 170.24/25.94             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 170.24/25.94             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 170.24/25.94             (all_58_15 = e0))
% 170.24/25.94    (137)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 170.24/25.94    (138)   ~ (all_52_8 = e0)
% 170.24/25.94    (139)  all_54_5 = all_4_2
% 170.24/25.94    (140)  op(e2, all_52_13) = all_58_7
% 170.24/25.94    (141)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.24/25.94           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.24/25.94           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.24/25.94           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.24/25.94           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.24/25.94           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.24/25.94           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.24/25.94           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.24/25.94           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.24/25.94           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.24/25.94             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.24/25.94             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.24/25.94             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.24/25.94             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.24/25.94             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.24/25.94             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.24/25.94             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.24/25.94             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.24/25.94             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.24/25.94             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.24/25.94             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.24/25.94             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.24/25.94             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.24/25.94             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.24/25.94             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.24/25.94             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.24/25.94           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.24/25.94           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.24/25.94           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.24/25.94             all_58_30 = e0 & e1 = e0)
% 170.24/25.94    (142)  all_54_7 = all_52_13
% 170.24/25.94    (143)   ~ (all_52_2 = all_10_2)
% 170.24/25.94    (144)  all_54_11 = all_52_14
% 170.24/25.94    (145)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 170.24/25.94    (146)   ~ (all_52_12 = all_52_13)
% 170.24/25.94  
% 170.24/25.94  Begin of proof
% 170.24/25.94  | 
% 170.24/25.94  | GROUND_INST: instantiating (120) with all_14_2, all_58_14, e0, e0, simplifying
% 170.24/25.94  |              with (2), (39) gives:
% 170.24/25.94  |   (147)  all_58_14 = all_14_2
% 170.24/25.94  | 
% 170.24/25.94  | BETA: splitting (94) gives:
% 170.24/25.94  | 
% 170.24/25.94  | Case 1:
% 170.24/25.94  | | 
% 170.24/25.94  | |   (148)  all_56_2 = e0
% 170.24/25.94  | | 
% 170.24/25.94  | | COMBINE_EQS: (85), (148) imply:
% 170.24/25.94  | |   (149)  all_52_1 = e0
% 170.24/25.94  | | 
% 170.24/25.94  | | REDUCE: (115), (149) imply:
% 170.24/25.94  | |   (150)  $false
% 170.24/25.94  | | 
% 170.24/25.94  | | CLOSE: (150) is inconsistent.
% 170.24/25.94  | | 
% 170.24/25.94  | Case 2:
% 170.24/25.94  | | 
% 170.24/25.94  | |   (151)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.24/25.94  | | 
% 170.24/25.94  | | BETA: splitting (31) gives:
% 170.24/25.94  | | 
% 170.24/25.94  | | Case 1:
% 170.24/25.94  | | | 
% 170.24/25.94  | | |   (152)  all_54_11 = e0
% 170.24/25.94  | | | 
% 170.24/25.94  | | | REF_CLOSE: (4), (14), (22), (36), (76), (91), (113), (120), (125), (144),
% 170.24/25.94  | | |            (151), (152) are inconsistent by sub-proof #81.
% 170.24/25.94  | | | 
% 170.24/25.94  | | Case 2:
% 170.24/25.94  | | | 
% 170.24/25.94  | | |   (153)   ~ (all_54_11 = e0)
% 170.24/25.94  | | | 
% 170.24/25.94  | | | REDUCE: (144), (153) imply:
% 170.24/25.94  | | |   (154)   ~ (all_52_14 = e0)
% 170.24/25.94  | | | 
% 170.24/25.94  | | | BETA: splitting (123) gives:
% 170.24/25.94  | | | 
% 170.24/25.94  | | | Case 1:
% 170.24/25.94  | | | | 
% 170.24/25.94  | | | |   (155)  all_56_9 = e0
% 170.24/25.94  | | | | 
% 170.24/25.94  | | | | REF_CLOSE: (56), (81), (155) are inconsistent by sub-proof #908.
% 170.24/25.94  | | | | 
% 170.24/25.94  | | | Case 2:
% 170.24/25.94  | | | | 
% 170.24/25.94  | | | |   (156)  all_56_10 = e0 | all_56_11 = e0
% 170.24/25.94  | | | | 
% 170.24/25.94  | | | | BETA: splitting (156) gives:
% 170.24/25.94  | | | | 
% 170.24/25.94  | | | | Case 1:
% 170.24/25.94  | | | | | 
% 170.24/25.94  | | | | |   (157)  all_56_10 = e0
% 170.24/25.94  | | | | | 
% 170.24/25.94  | | | | | COMBINE_EQS: (125), (157) imply:
% 170.24/25.94  | | | | |   (158)  all_52_13 = e0
% 170.24/25.94  | | | | | 
% 170.24/25.94  | | | | | SIMP: (158) implies:
% 170.24/25.94  | | | | |   (159)  all_52_13 = e0
% 170.24/25.94  | | | | | 
% 170.24/25.94  | | | | | REDUCE: (70), (159) imply:
% 170.24/25.94  | | | | |   (160)   ~ (all_14_2 = e0)
% 170.24/25.94  | | | | | 
% 170.24/25.94  | | | | | SIMP: (160) implies:
% 170.24/25.94  | | | | |   (161)   ~ (all_14_2 = e0)
% 170.24/25.94  | | | | | 
% 170.24/25.94  | | | | | REDUCE: (32), (159) imply:
% 170.24/25.94  | | | | |   (162)   ~ (all_4_2 = e0)
% 170.24/25.94  | | | | | 
% 170.24/25.94  | | | | | SIMP: (162) implies:
% 170.24/25.94  | | | | |   (163)   ~ (all_4_2 = e0)
% 170.24/25.94  | | | | | 
% 170.24/25.94  | | | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12),
% 170.24/25.94  | | | | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (23),
% 170.24/25.94  | | | | |            (24), (25), (26), (27), (28), (29), (30), (31), (33), (34),
% 170.24/25.94  | | | | |            (35), (37), (38), (40), (41), (42), (43), (44), (45), (46),
% 170.24/25.94  | | | | |            (47), (48), (49), (50), (51), (52), (53), (54), (55), (56),
% 170.24/25.94  | | | | |            (57), (58), (59), (60), (61), (62), (63), (64), (65), (66),
% 170.24/25.94  | | | | |            (67), (68), (69), (70), (71), (72), (73), (74), (75), (76),
% 170.24/25.94  | | | | |            (77), (78), (79), (80), (81), (82), (83), (84), (85), (86),
% 170.24/25.94  | | | | |            (87), (88), (89), (90), (91), (92), (93), (95), (96), (97),
% 170.24/25.94  | | | | |            (98), (99), (100), (101), (102), (103), (104), (105),
% 170.24/25.94  | | | | |            (106), (107), (108), (109), (110), (111), (112), (113),
% 170.24/25.94  | | | | |            (114), (115), (116), (117), (118), (119), (120), (121),
% 170.24/25.94  | | | | |            (122), (124), (125), (126), (127), (128), (129), (130),
% 170.24/25.94  | | | | |            (131), (132), (133), (134), (135), (136), (137), (138),
% 170.24/25.94  | | | | |            (139), (140), (141), (142), (143), (144), (145), (146),
% 170.24/25.94  | | | | |            (151), (161), (163) are inconsistent by sub-proof #580.
% 170.24/25.94  | | | | | 
% 170.24/25.94  | | | | Case 2:
% 170.24/25.94  | | | | | 
% 170.24/25.94  | | | | |   (164)  all_56_11 = e0
% 170.24/25.94  | | | | | 
% 170.24/25.94  | | | | | REF_CLOSE: (47), (154), (164) are inconsistent by sub-proof #873.
% 170.24/25.94  | | | | | 
% 170.24/25.94  | | | | End of split
% 170.24/25.94  | | | | 
% 170.24/25.94  | | | End of split
% 170.24/25.94  | | | 
% 170.24/25.94  | | End of split
% 170.24/25.94  | | 
% 170.24/25.94  | End of split
% 170.24/25.94  | 
% 170.24/25.94  End of proof
% 170.24/25.94  
% 170.24/25.94  Sub-proof #81 shows that the following formulas are inconsistent:
% 170.24/25.94  ----------------------------------------------------------------
% 170.24/25.94    (1)  op(all_4_2, e2) = e0
% 170.24/25.94    (2)  all_56_5 = all_52_9
% 170.24/25.94    (3)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.24/25.94    (4)  op(e0, e2) = all_52_7
% 170.24/25.94    (5)   ~ (all_52_9 = e0)
% 170.24/25.94    (6)   ~ (all_52_13 = all_52_14)
% 170.24/25.94    (7)   ~ (all_52_7 = all_4_2)
% 170.24/25.94    (8)  all_54_11 = e0
% 170.24/25.94    (9)  all_56_3 = all_4_2
% 170.24/25.94    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.24/25.94            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.24/25.94    (11)  all_56_10 = all_52_13
% 170.24/25.94    (12)  all_54_11 = all_52_14
% 170.24/25.94  
% 170.24/25.94  Begin of proof
% 170.24/25.94  | 
% 170.24/25.94  | COMBINE_EQS: (8), (12) imply:
% 170.24/25.94  |   (13)  all_52_14 = e0
% 170.24/25.94  | 
% 170.24/25.94  | REDUCE: (6), (13) imply:
% 170.24/25.94  |   (14)   ~ (all_52_13 = e0)
% 170.24/25.94  | 
% 170.24/25.94  | REF_CLOSE: (1), (2), (3), (4), (5), (7), (9), (10), (11), (14) are
% 170.24/25.94  |            inconsistent by sub-proof #127.
% 170.24/25.94  | 
% 170.24/25.94  End of proof
% 170.24/25.94  
% 170.24/25.94  Sub-proof #82 shows that the following formulas are inconsistent:
% 170.24/25.94  ----------------------------------------------------------------
% 170.24/25.94    (1)  all_56_1 = all_52_4
% 170.24/25.94    (2)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 170.24/25.94    (3)  op(all_4_2, e2) = e0
% 170.24/25.94    (4)   ~ (all_10_2 = e0)
% 170.24/25.94    (5)   ~ (all_52_8 = all_52_12)
% 170.24/25.94    (6)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 170.24/25.94    (7)   ~ (all_52_4 = all_4_2)
% 170.24/25.94    (8)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.24/25.94    (9)  all_54_3 = all_52_12
% 170.24/25.94    (10)   ~ (all_14_2 = e1)
% 170.24/25.94    (11)  all_56_15 = all_14_2
% 170.24/25.94    (12)  all_58_19 = all_6_1
% 170.24/25.94    (13)  all_54_1 = all_52_4
% 170.24/25.94    (14)  all_56_8 = all_10_2
% 170.24/25.94    (15)  all_58_26 = all_10_2
% 170.24/25.94    (16)  all_58_25 = e0
% 170.24/25.94    (17)   ~ (all_52_4 = e0)
% 170.24/25.94    (18)  all_56_11 = all_52_14
% 170.24/25.94    (19)  all_56_15 = e0
% 170.24/25.94    (20)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 170.24/25.94    (21)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 170.24/25.94    (22)  all_58_17 = all_52_1
% 170.24/25.94    (23)  op(e2, all_4_2) = all_58_5
% 170.24/25.94    (24)   ~ (all_6_1 = e1)
% 170.24/25.94    (25)  all_56_9 = all_52_12
% 170.24/25.94    (26)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.24/25.94    (27)  all_58_22 = e0
% 170.24/25.94    (28)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 170.24/25.94    (29)  op(e2, e2) = all_4_2
% 170.24/25.94    (30)   ~ (e3 = e2)
% 170.24/25.94    (31)   ~ (e2 = e1)
% 170.24/25.94    (32)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 170.24/25.94    (33)   ~ (all_52_1 = all_4_2)
% 170.24/25.94    (34)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.24/25.94    (35)  all_58_18 = all_52_2
% 170.24/25.94    (36)  all_58_16 = e0
% 170.24/25.94    (37)   ~ (all_52_12 = e0)
% 170.24/25.94    (38)  all_56_2 = all_52_1
% 170.24/25.94    (39)   ~ (e3 = e0)
% 170.24/25.94    (40)   ~ (all_52_1 = all_52_2)
% 170.24/25.94    (41)  all_56_7 = e0
% 170.24/25.94    (42)   ~ (all_4_2 = e0)
% 170.24/25.94    (43)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 170.24/25.94    (44)  all_58_20 = all_52_4
% 170.24/25.94    (45)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 170.24/25.94    (46)  all_56_12 = all_6_1
% 170.24/25.94    (47)  all_56_6 = all_52_2
% 170.24/25.94    (48)  all_58_24 = all_52_8
% 170.24/25.94    (49)   ~ (all_52_12 = all_52_14)
% 170.24/25.94    (50)   ~ (all_52_4 = all_52_12)
% 170.24/25.94    (51)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 170.24/25.94    (52)   ~ (all_52_4 = all_52_8)
% 170.24/25.95    (53)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.24/25.95            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.24/25.95    (54)   ~ (all_6_1 = e0)
% 170.24/25.95    (55)   ~ (all_52_2 = all_52_14)
% 170.24/25.95    (56)  all_58_21 = all_4_2
% 170.24/25.95    (57)  all_56_10 = all_52_13
% 170.24/25.95    (58)  all_56_0 = e0
% 170.24/25.95    (59)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 170.24/25.95    (60)   ~ (e2 = e0)
% 170.24/25.95    (61)   ~ (e1 = e0)
% 170.24/25.95    (62)   ~ (all_52_8 = e0)
% 170.24/25.95    (63)   ~ (all_52_2 = all_10_2)
% 170.24/25.95  
% 170.24/25.95  Begin of proof
% 170.24/25.95  | 
% 170.24/25.95  | BETA: splitting (21) gives:
% 170.24/25.95  | 
% 170.24/25.95  | Case 1:
% 170.24/25.95  | | 
% 170.24/25.95  | |   (64)  all_56_9 = e2
% 170.24/25.95  | | 
% 170.24/25.95  | | COMBINE_EQS: (25), (64) imply:
% 170.24/25.95  | |   (65)  all_52_12 = e2
% 170.24/25.95  | | 
% 170.24/25.95  | | REDUCE: (49), (65) imply:
% 170.24/25.95  | |   (66)   ~ (all_52_14 = e2)
% 170.24/25.95  | | 
% 170.24/25.95  | | SIMP: (66) implies:
% 170.24/25.95  | |   (67)   ~ (all_52_14 = e2)
% 170.24/25.95  | | 
% 170.24/25.95  | | BETA: splitting (32) gives:
% 170.24/25.95  | | 
% 170.24/25.95  | | Case 1:
% 170.24/25.95  | | | 
% 170.24/25.95  | | |   (68)  all_56_9 = e3
% 170.24/25.95  | | | 
% 170.24/25.95  | | | COMBINE_EQS: (64), (68) imply:
% 170.24/25.95  | | |   (69)  e3 = e2
% 170.24/25.95  | | | 
% 170.24/25.95  | | | REDUCE: (30), (69) imply:
% 170.24/25.95  | | |   (70)  $false
% 170.24/25.95  | | | 
% 170.24/25.95  | | | CLOSE: (70) is inconsistent.
% 170.24/25.95  | | | 
% 170.24/25.95  | | Case 2:
% 170.24/25.95  | | | 
% 170.24/25.95  | | |   (71)  all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 170.24/25.95  | | | 
% 170.24/25.95  | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (10), (11), (13), (14), (15),
% 170.24/25.95  | | |            (16), (17), (18), (19), (22), (23), (27), (28), (29), (31),
% 170.24/25.95  | | |            (33), (34), (35), (36), (39), (40), (41), (42), (43), (44),
% 170.24/25.95  | | |            (45), (47), (48), (51), (52), (53), (55), (56), (57), (58),
% 170.24/25.95  | | |            (60), (61), (62), (64), (67), (71) are inconsistent by
% 170.24/25.95  | | |            sub-proof #83.
% 170.24/25.95  | | | 
% 170.24/25.95  | | End of split
% 170.24/25.95  | | 
% 170.24/25.95  | Case 2:
% 170.24/25.95  | | 
% 170.24/25.95  | |   (72)   ~ (all_56_9 = e2)
% 170.24/25.95  | | 
% 170.24/25.95  | | REDUCE: (25), (72) imply:
% 170.24/25.95  | |   (73)   ~ (all_52_12 = e2)
% 170.24/25.95  | | 
% 170.24/25.95  | | BETA: splitting (59) gives:
% 170.24/25.95  | | 
% 170.24/25.95  | | Case 1:
% 170.24/25.95  | | | 
% 170.24/25.95  | | |   (74)  all_56_2 = e1
% 170.24/25.95  | | | 
% 170.24/25.95  | | | REF_CLOSE: (8), (12), (22), (31), (35), (36), (38), (39), (40), (54), (74)
% 170.24/25.95  | | |            are inconsistent by sub-proof #628.
% 170.24/25.95  | | | 
% 170.24/25.95  | | Case 2:
% 170.24/25.95  | | | 
% 170.24/25.95  | | |   (75)   ~ (all_56_2 = e1)
% 170.24/25.95  | | | 
% 170.24/25.95  | | | REDUCE: (38), (75) imply:
% 170.24/25.95  | | |   (76)   ~ (all_52_1 = e1)
% 170.24/25.95  | | | 
% 170.24/25.95  | | | BETA: splitting (26) gives:
% 170.24/25.95  | | | 
% 170.24/25.95  | | | Case 1:
% 170.24/25.95  | | | | 
% 170.24/25.95  | | | |   (77)  all_56_2 = e1
% 170.24/25.95  | | | | 
% 170.24/25.95  | | | | COMBINE_EQS: (38), (77) imply:
% 170.24/25.95  | | | |   (78)  all_52_1 = e1
% 170.24/25.95  | | | | 
% 170.24/25.95  | | | | REDUCE: (76), (78) imply:
% 170.24/25.95  | | | |   (79)  $false
% 170.24/25.95  | | | | 
% 170.24/25.95  | | | | CLOSE: (79) is inconsistent.
% 170.24/25.95  | | | | 
% 170.24/25.95  | | | Case 2:
% 170.24/25.95  | | | | 
% 170.24/25.95  | | | |   (80)  all_56_6 = e1 | all_56_12 = e1
% 170.24/25.95  | | | | 
% 170.24/25.95  | | | | BETA: splitting (80) gives:
% 170.24/25.95  | | | | 
% 170.24/25.95  | | | | Case 1:
% 170.24/25.95  | | | | | 
% 170.24/25.95  | | | | |   (81)  all_56_6 = e1
% 170.24/25.95  | | | | | 
% 170.24/25.95  | | | | | COMBINE_EQS: (47), (81) imply:
% 170.24/25.95  | | | | |   (82)  all_52_2 = e1
% 170.24/25.95  | | | | | 
% 170.24/25.95  | | | | | REDUCE: (63), (82) imply:
% 170.24/25.95  | | | | |   (83)   ~ (all_10_2 = e1)
% 170.24/25.95  | | | | | 
% 170.24/25.95  | | | | | SIMP: (83) implies:
% 170.24/25.95  | | | | |   (84)   ~ (all_10_2 = e1)
% 170.24/25.95  | | | | | 
% 170.24/25.95  | | | | | BETA: splitting (28) gives:
% 170.24/25.95  | | | | | 
% 170.24/25.95  | | | | | Case 1:
% 170.24/25.95  | | | | | | 
% 170.24/25.95  | | | | | |   (85)  all_58_26 = e1
% 170.24/25.95  | | | | | | 
% 170.24/25.95  | | | | | | REF_CLOSE: (15), (84), (85) are inconsistent by sub-proof #968.
% 170.24/25.95  | | | | | | 
% 170.24/25.95  | | | | | Case 2:
% 170.24/25.95  | | | | | | 
% 170.24/25.95  | | | | | |   (86)  all_58_24 = e3 | all_58_25 = e2
% 170.24/25.95  | | | | | | 
% 170.24/25.95  | | | | | | BETA: splitting (86) gives:
% 170.24/25.95  | | | | | | 
% 170.24/25.95  | | | | | | Case 1:
% 170.24/25.95  | | | | | | | 
% 170.24/25.95  | | | | | | |   (87)  all_58_25 = e2
% 170.24/25.95  | | | | | | | 
% 170.24/25.95  | | | | | | | REF_CLOSE: (16), (60), (87) are inconsistent by sub-proof #850.
% 170.24/25.95  | | | | | | | 
% 170.24/25.95  | | | | | | Case 2:
% 170.24/25.95  | | | | | | | 
% 170.24/25.95  | | | | | | |   (88)  all_58_24 = e3
% 170.24/25.95  | | | | | | | 
% 170.24/25.95  | | | | | | | COMBINE_EQS: (48), (88) imply:
% 170.24/25.95  | | | | | | |   (89)  all_52_8 = e3
% 170.24/25.95  | | | | | | | 
% 170.24/25.95  | | | | | | | REDUCE: (52), (89) imply:
% 170.24/25.95  | | | | | | |   (90)   ~ (all_52_4 = e3)
% 170.24/25.95  | | | | | | | 
% 170.24/25.95  | | | | | | | REDUCE: (5), (89) imply:
% 170.24/25.95  | | | | | | |   (91)   ~ (all_52_12 = e3)
% 170.24/25.95  | | | | | | | 
% 170.24/25.95  | | | | | | | SIMP: (91) implies:
% 170.24/25.95  | | | | | | |   (92)   ~ (all_52_12 = e3)
% 170.24/25.95  | | | | | | | 
% 170.24/25.95  | | | | | | | BETA: splitting (20) gives:
% 170.24/25.95  | | | | | | | 
% 170.24/25.95  | | | | | | | Case 1:
% 170.24/25.95  | | | | | | | | 
% 170.24/25.95  | | | | | | | |   (93)  all_54_3 = e1
% 170.24/25.95  | | | | | | | | 
% 170.24/25.95  | | | | | | | | COMBINE_EQS: (9), (93) imply:
% 170.24/25.95  | | | | | | | |   (94)  all_52_12 = e1
% 170.24/25.95  | | | | | | | | 
% 170.24/25.95  | | | | | | | | SIMP: (94) implies:
% 170.24/25.95  | | | | | | | |   (95)  all_52_12 = e1
% 170.24/25.95  | | | | | | | | 
% 170.24/25.95  | | | | | | | | REDUCE: (50), (95) imply:
% 170.24/25.95  | | | | | | | |   (96)   ~ (all_52_4 = e1)
% 170.24/25.95  | | | | | | | | 
% 170.24/25.95  | | | | | | | | REF_CLOSE: (2), (7), (13), (27), (44), (45), (56), (61), (90),
% 170.24/25.95  | | | | | | | |            (96) are inconsistent by sub-proof #606.
% 170.24/25.95  | | | | | | | | 
% 170.24/25.95  | | | | | | | Case 2:
% 170.24/25.95  | | | | | | | | 
% 170.24/25.95  | | | | | | | |   (97)  all_54_3 = e3 | all_54_3 = e2
% 170.24/25.95  | | | | | | | | 
% 170.24/25.95  | | | | | | | | REF_CLOSE: (9), (73), (92), (97) are inconsistent by sub-proof
% 170.24/25.95  | | | | | | | |            #891.
% 170.24/25.95  | | | | | | | | 
% 170.24/25.95  | | | | | | | End of split
% 170.24/25.95  | | | | | | | 
% 170.24/25.95  | | | | | | End of split
% 170.24/25.95  | | | | | | 
% 170.24/25.95  | | | | | End of split
% 170.24/25.95  | | | | | 
% 170.24/25.95  | | | | Case 2:
% 170.24/25.95  | | | | | 
% 170.24/25.95  | | | | |   (98)  all_56_12 = e1
% 170.24/25.95  | | | | | 
% 170.24/25.95  | | | | | COMBINE_EQS: (46), (98) imply:
% 170.24/25.95  | | | | |   (99)  all_6_1 = e1
% 170.24/25.95  | | | | | 
% 170.24/25.95  | | | | | SIMP: (99) implies:
% 170.24/25.95  | | | | |   (100)  all_6_1 = e1
% 170.24/25.95  | | | | | 
% 170.24/25.95  | | | | | REDUCE: (24), (100) imply:
% 170.24/25.95  | | | | |   (101)  $false
% 170.24/25.95  | | | | | 
% 170.24/25.95  | | | | | CLOSE: (101) is inconsistent.
% 170.24/25.95  | | | | | 
% 170.24/25.95  | | | | End of split
% 170.24/25.95  | | | | 
% 170.24/25.95  | | | End of split
% 170.24/25.95  | | | 
% 170.24/25.95  | | End of split
% 170.24/25.95  | | 
% 170.24/25.95  | End of split
% 170.24/25.95  | 
% 170.24/25.95  End of proof
% 170.24/25.95  
% 170.24/25.95  Sub-proof #83 shows that the following formulas are inconsistent:
% 170.24/25.95  ----------------------------------------------------------------
% 170.24/25.95    (1)  all_56_1 = all_52_4
% 170.24/25.95    (2)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 170.24/25.95    (3)  op(all_4_2, e2) = e0
% 170.24/25.95    (4)   ~ (all_10_2 = e0)
% 170.24/25.95    (5)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 170.24/25.95    (6)   ~ (all_52_4 = all_4_2)
% 170.24/25.95    (7)   ~ (all_14_2 = e1)
% 170.24/25.95    (8)  all_56_15 = all_14_2
% 170.24/25.95    (9)  all_54_1 = all_52_4
% 170.24/25.95    (10)  all_56_8 = all_10_2
% 170.24/25.95    (11)  all_58_26 = all_10_2
% 170.24/25.95    (12)  all_58_25 = e0
% 170.24/25.95    (13)   ~ (all_52_4 = e0)
% 170.24/25.95    (14)  all_56_11 = all_52_14
% 170.24/25.95    (15)  all_56_15 = e0
% 170.24/25.95    (16)  all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 170.24/25.95    (17)  all_58_17 = all_52_1
% 170.24/25.95    (18)  op(e2, all_4_2) = all_58_5
% 170.24/25.95    (19)  all_58_22 = e0
% 170.24/25.95    (20)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 170.24/25.95    (21)  op(e2, e2) = all_4_2
% 170.24/25.95    (22)   ~ (e2 = e1)
% 170.24/25.95    (23)   ~ (all_52_14 = e2)
% 170.24/25.95    (24)   ~ (all_52_1 = all_4_2)
% 170.24/25.95    (25)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.24/25.95    (26)  all_58_18 = all_52_2
% 170.24/25.95    (27)  all_58_16 = e0
% 170.24/25.95    (28)   ~ (e3 = e0)
% 170.24/25.95    (29)  all_56_9 = e2
% 170.24/25.95    (30)   ~ (all_52_1 = all_52_2)
% 170.24/25.95    (31)  all_56_7 = e0
% 170.24/25.95    (32)   ~ (all_4_2 = e0)
% 170.24/25.95    (33)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 170.24/25.95    (34)  all_58_20 = all_52_4
% 170.24/25.95    (35)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 170.24/25.95    (36)  all_56_6 = all_52_2
% 170.24/25.95    (37)  all_58_24 = all_52_8
% 170.24/25.95    (38)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 170.24/25.95    (39)   ~ (all_52_4 = all_52_8)
% 170.24/25.95    (40)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.24/25.95            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.24/25.95    (41)   ~ (all_52_2 = all_52_14)
% 170.24/25.95    (42)  all_58_21 = all_4_2
% 170.24/25.95    (43)  all_56_10 = all_52_13
% 170.24/25.95    (44)  all_56_0 = e0
% 170.24/25.95    (45)   ~ (e2 = e0)
% 170.24/25.95    (46)   ~ (e1 = e0)
% 170.24/25.95    (47)   ~ (all_52_8 = e0)
% 170.24/25.95  
% 170.24/25.95  Begin of proof
% 170.24/25.95  | 
% 170.24/25.95  | BETA: splitting (25) gives:
% 170.24/25.95  | 
% 170.24/25.95  | Case 1:
% 170.24/25.95  | | 
% 170.24/25.95  | |   (48)  all_56_9 = e1
% 170.24/25.95  | | 
% 170.24/25.95  | | REF_CLOSE: (22), (29), (48) are inconsistent by sub-proof #417.
% 170.24/25.95  | | 
% 170.24/25.95  | Case 2:
% 170.24/25.95  | | 
% 170.24/25.95  | |   (49)   ~ (all_56_9 = e1)
% 170.24/25.95  | |   (50)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.24/25.95  | | 
% 170.24/25.95  | | BETA: splitting (33) gives:
% 170.24/25.95  | | 
% 170.24/25.95  | | Case 1:
% 170.24/25.95  | | | 
% 170.24/25.95  | | |   (51)  all_56_6 = e2
% 170.24/25.95  | | | 
% 170.24/25.95  | | | COMBINE_EQS: (36), (51) imply:
% 170.24/25.95  | | |   (52)  all_52_2 = e2
% 170.24/25.95  | | | 
% 170.24/25.95  | | | REF_CLOSE: (5), (17), (22), (26), (27), (28), (30), (52) are inconsistent
% 170.24/25.95  | | |            by sub-proof #607.
% 170.24/25.95  | | | 
% 170.24/25.95  | | Case 2:
% 170.24/25.95  | | | 
% 170.24/25.95  | | |   (53)  all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 170.24/25.95  | | | 
% 170.24/25.95  | | | BETA: splitting (53) gives:
% 170.24/25.95  | | | 
% 170.24/25.95  | | | Case 1:
% 170.24/25.95  | | | | 
% 170.24/25.95  | | | |   (54)  all_56_7 = e2
% 170.24/25.95  | | | | 
% 170.24/25.95  | | | | REF_CLOSE: (31), (45), (54) are inconsistent by sub-proof #636.
% 170.24/25.95  | | | | 
% 170.24/25.95  | | | Case 2:
% 170.24/25.95  | | | | 
% 170.24/25.95  | | | |   (55)  all_56_8 = e2 | all_56_11 = e2
% 170.24/25.95  | | | | 
% 170.24/25.95  | | | | BETA: splitting (55) gives:
% 170.24/25.95  | | | | 
% 170.24/25.95  | | | | Case 1:
% 170.24/25.95  | | | | | 
% 170.24/25.95  | | | | |   (56)  all_56_8 = e2
% 170.24/25.95  | | | | | 
% 170.24/25.95  | | | | | COMBINE_EQS: (10), (56) imply:
% 170.24/25.95  | | | | |   (57)  all_10_2 = e2
% 170.24/25.95  | | | | | 
% 170.24/25.95  | | | | | COMBINE_EQS: (11), (57) imply:
% 170.24/25.95  | | | | |   (58)  all_58_26 = e2
% 170.24/25.95  | | | | | 
% 170.24/25.95  | | | | | BETA: splitting (20) gives:
% 170.24/25.95  | | | | | 
% 170.24/25.95  | | | | | Case 1:
% 170.24/25.95  | | | | | | 
% 170.24/25.95  | | | | | |   (59)  all_58_26 = e1
% 170.24/25.95  | | | | | | 
% 170.24/25.95  | | | | | | REF_CLOSE: (22), (58), (59) are inconsistent by sub-proof #233.
% 170.24/25.95  | | | | | | 
% 170.24/25.95  | | | | | Case 2:
% 170.24/25.95  | | | | | | 
% 170.24/25.95  | | | | | |   (60)  all_58_24 = e3 | all_58_25 = e2
% 170.24/25.95  | | | | | | 
% 170.24/25.95  | | | | | | BETA: splitting (60) gives:
% 170.24/25.95  | | | | | | 
% 170.24/25.95  | | | | | | Case 1:
% 170.24/25.95  | | | | | | | 
% 170.24/25.95  | | | | | | |   (61)  all_58_25 = e2
% 170.24/25.95  | | | | | | | 
% 170.24/25.95  | | | | | | | COMBINE_EQS: (12), (61) imply:
% 170.24/25.95  | | | | | | |   (62)  e2 = e0
% 170.24/25.95  | | | | | | | 
% 170.24/25.95  | | | | | | | REDUCE: (45), (62) imply:
% 170.24/25.95  | | | | | | |   (63)  $false
% 170.24/25.95  | | | | | | | 
% 170.24/25.95  | | | | | | | CLOSE: (63) is inconsistent.
% 170.24/25.95  | | | | | | | 
% 170.24/25.95  | | | | | | Case 2:
% 170.24/25.95  | | | | | | | 
% 170.24/25.95  | | | | | | |   (64)  all_58_24 = e3
% 170.24/25.95  | | | | | | |   (65)   ~ (all_58_25 = e2)
% 170.24/25.95  | | | | | | | 
% 170.24/25.95  | | | | | | | COMBINE_EQS: (37), (64) imply:
% 170.24/25.95  | | | | | | |   (66)  all_52_8 = e3
% 170.24/25.95  | | | | | | | 
% 170.24/25.95  | | | | | | | REDUCE: (12), (65) imply:
% 170.24/25.95  | | | | | | |   (67)   ~ (e2 = e0)
% 170.24/25.95  | | | | | | | 
% 170.24/25.95  | | | | | | | REDUCE: (39), (66) imply:
% 170.24/25.95  | | | | | | |   (68)   ~ (all_52_4 = e3)
% 170.24/25.95  | | | | | | | 
% 170.24/25.95  | | | | | | | BETA: splitting (38) gives:
% 170.24/25.95  | | | | | | | 
% 170.24/25.95  | | | | | | | Case 1:
% 170.24/25.95  | | | | | | | | 
% 170.24/25.95  | | | | | | | |   (69)  all_56_0 = e1
% 170.24/25.95  | | | | | | | | 
% 170.24/25.95  | | | | | | | | COMBINE_EQS: (44), (69) imply:
% 170.24/25.95  | | | | | | | |   (70)  e1 = e0
% 170.24/25.95  | | | | | | | | 
% 170.24/25.95  | | | | | | | | REDUCE: (46), (70) imply:
% 170.24/25.95  | | | | | | | |   (71)  $false
% 170.24/25.95  | | | | | | | | 
% 170.24/25.95  | | | | | | | | CLOSE: (71) is inconsistent.
% 170.24/25.95  | | | | | | | | 
% 170.24/25.95  | | | | | | | Case 2:
% 170.24/25.95  | | | | | | | | 
% 170.24/25.95  | | | | | | | |   (72)   ~ (all_56_0 = e1)
% 170.24/25.95  | | | | | | | |   (73)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 170.24/25.95  | | | | | | | | 
% 170.24/25.95  | | | | | | | | REDUCE: (44), (72) imply:
% 170.54/25.95  | | | | | | | |   (74)   ~ (e1 = e0)
% 170.54/25.95  | | | | | | | | 
% 170.54/25.95  | | | | | | | | BETA: splitting (73) gives:
% 170.54/25.95  | | | | | | | | 
% 170.54/25.95  | | | | | | | | Case 1:
% 170.54/25.95  | | | | | | | | | 
% 170.54/25.95  | | | | | | | | |   (75)  all_56_1 = e1
% 170.54/25.95  | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | COMBINE_EQS: (1), (75) imply:
% 170.54/25.95  | | | | | | | | |   (76)  all_52_4 = e1
% 170.54/25.95  | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | COMBINE_EQS: (34), (76) imply:
% 170.54/25.95  | | | | | | | | |   (77)  all_58_20 = e1
% 170.54/25.95  | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | REDUCE: (68), (76) imply:
% 170.54/25.95  | | | | | | | | |   (78)   ~ (e3 = e1)
% 170.54/25.95  | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | SIMP: (78) implies:
% 170.54/25.95  | | | | | | | | |   (79)   ~ (e3 = e1)
% 170.54/25.95  | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | BETA: splitting (2) gives:
% 170.54/25.95  | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | Case 1:
% 170.54/25.95  | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | |   (80)  all_58_22 = e1
% 170.54/25.95  | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | REF_CLOSE: (19), (46), (80) are inconsistent by sub-proof
% 170.54/25.95  | | | | | | | | | |            #923.
% 170.54/25.95  | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | Case 2:
% 170.54/25.95  | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | |   (81)  all_58_20 = e3 | all_58_21 = e2
% 170.54/25.95  | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | BETA: splitting (81) gives:
% 170.54/25.95  | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | Case 1:
% 170.54/25.95  | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | |   (82)  all_58_21 = e2
% 170.54/25.95  | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | COMBINE_EQS: (42), (82) imply:
% 170.54/25.95  | | | | | | | | | | |   (83)  all_4_2 = e2
% 170.54/25.95  | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | REDUCE: (24), (83) imply:
% 170.54/25.95  | | | | | | | | | | |   (84)   ~ (all_52_1 = e2)
% 170.54/25.95  | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | REDUCE: (3), (83) imply:
% 170.54/25.95  | | | | | | | | | | |   (85)  op(e2, e2) = e0
% 170.54/25.95  | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | REDUCE: (18), (83) imply:
% 170.54/25.95  | | | | | | | | | | |   (86)  op(e2, e2) = all_58_5
% 170.54/25.95  | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | REDUCE: (21), (83) imply:
% 170.54/25.95  | | | | | | | | | | |   (87)  op(e2, e2) = e2
% 170.54/25.95  | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | BETA: splitting (5) gives:
% 170.54/25.95  | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | Case 1:
% 170.54/25.95  | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | |   (88)  all_58_18 = e1
% 170.54/25.95  | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | COMBINE_EQS: (26), (88) imply:
% 170.54/25.95  | | | | | | | | | | | |   (89)  all_52_2 = e1
% 170.54/25.95  | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | REDUCE: (41), (89) imply:
% 170.54/25.95  | | | | | | | | | | | |   (90)   ~ (all_52_14 = e1)
% 170.54/25.95  | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | SIMP: (90) implies:
% 170.54/25.95  | | | | | | | | | | | |   (91)   ~ (all_52_14 = e1)
% 170.54/25.95  | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | BETA: splitting (50) gives:
% 170.54/25.95  | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | Case 1:
% 170.54/25.95  | | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | |   (92)  all_56_10 = e1
% 170.54/25.95  | | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | | COMBINE_EQS: (43), (92) imply:
% 170.54/25.95  | | | | | | | | | | | | |   (93)  all_52_13 = e1
% 170.54/25.95  | | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | | BETA: splitting (16) gives:
% 170.54/25.95  | | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | | Case 1:
% 170.54/25.95  | | | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | | |   (94)  all_56_10 = e3
% 170.54/25.95  | | | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | | | COMBINE_EQS: (92), (94) imply:
% 170.54/25.95  | | | | | | | | | | | | | |   (95)  e3 = e1
% 170.54/25.95  | | | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | | | REF_CLOSE: (12), (45), (60), (64), (79), (95) are
% 170.54/25.95  | | | | | | | | | | | | | |            inconsistent by sub-proof #643.
% 170.54/25.95  | | | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | | Case 2:
% 170.54/25.95  | | | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | | |   (96)  all_56_11 = e3 | all_56_15 = e3
% 170.54/25.95  | | | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | | | BETA: splitting (96) gives:
% 170.54/25.95  | | | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | | | Case 1:
% 170.54/25.95  | | | | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e2, all_58_5, e2, e2,
% 170.54/25.95  | | | | | | | | | | | | | | |              simplifying with (86), (87) gives:
% 170.54/25.95  | | | | | | | | | | | | | | |   (97)  all_58_5 = e2
% 170.54/25.95  | | | | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e0, all_58_5, e2, e2,
% 170.54/25.95  | | | | | | | | | | | | | | |              simplifying with (85), (86) gives:
% 170.54/25.95  | | | | | | | | | | | | | | |   (98)  all_58_5 = e0
% 170.54/25.95  | | | | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | | | | COMBINE_EQS: (97), (98) imply:
% 170.54/25.95  | | | | | | | | | | | | | | |   (99)  e2 = e0
% 170.54/25.95  | | | | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | | | | SIMP: (99) implies:
% 170.54/25.95  | | | | | | | | | | | | | | |   (100)  e2 = e0
% 170.54/25.95  | | | | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | | | | COMBINE_EQS: (82), (100) imply:
% 170.54/25.95  | | | | | | | | | | | | | | |   (101)  all_58_21 = e0
% 170.54/25.95  | | | | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | | | | REF_CLOSE: (34), (45), (68), (81), (101) are inconsistent by
% 170.54/25.95  | | | | | | | | | | | | | | |            sub-proof #720.
% 170.54/25.95  | | | | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | | | Case 2:
% 170.54/25.95  | | | | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | | | |   (102)  all_56_15 = e3
% 170.54/25.95  | | | | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | | | | COMBINE_EQS: (15), (102) imply:
% 170.54/25.95  | | | | | | | | | | | | | | |   (103)  e3 = e0
% 170.54/25.95  | | | | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | | | | REDUCE: (28), (103) imply:
% 170.54/25.95  | | | | | | | | | | | | | | |   (104)  $false
% 170.54/25.95  | | | | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | | | | CLOSE: (104) is inconsistent.
% 170.54/25.95  | | | | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | | | End of split
% 170.54/25.95  | | | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | | End of split
% 170.54/25.95  | | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | Case 2:
% 170.54/25.95  | | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | |   (105)  all_56_11 = e1 | all_56_15 = e1
% 170.54/25.95  | | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | | REF_CLOSE: (7), (8), (14), (91), (105) are inconsistent by
% 170.54/25.95  | | | | | | | | | | | | |            sub-proof #231.
% 170.54/25.95  | | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | End of split
% 170.54/25.95  | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | Case 2:
% 170.54/25.95  | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | |   (106)  all_58_16 = e3 | all_58_17 = e2
% 170.54/25.95  | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | | REF_CLOSE: (17), (27), (28), (84), (106) are inconsistent by
% 170.54/25.95  | | | | | | | | | | | |            sub-proof #608.
% 170.54/25.95  | | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | End of split
% 170.54/25.95  | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | Case 2:
% 170.54/25.95  | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | |   (107)  all_58_20 = e3
% 170.54/25.95  | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | COMBINE_EQS: (77), (107) imply:
% 170.54/25.95  | | | | | | | | | | |   (108)  e3 = e1
% 170.54/25.95  | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | | REF_CLOSE: (12), (45), (60), (64), (79), (108) are
% 170.54/25.95  | | | | | | | | | | |            inconsistent by sub-proof #643.
% 170.54/25.95  | | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | | End of split
% 170.54/25.95  | | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | End of split
% 170.54/25.95  | | | | | | | | | 
% 170.54/25.95  | | | | | | | | Case 2:
% 170.54/25.95  | | | | | | | | | 
% 170.54/25.95  | | | | | | | | |   (109)   ~ (all_56_1 = e1)
% 170.54/25.95  | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | REDUCE: (1), (109) imply:
% 170.54/25.95  | | | | | | | | |   (110)   ~ (all_52_4 = e1)
% 170.54/25.95  | | | | | | | | | 
% 170.54/25.95  | | | | | | | | | REF_CLOSE: (2), (6), (9), (19), (34), (35), (42), (46), (68),
% 170.54/25.95  | | | | | | | | |            (110) are inconsistent by sub-proof #606.
% 170.54/25.95  | | | | | | | | | 
% 170.54/25.95  | | | | | | | | End of split
% 170.54/25.95  | | | | | | | | 
% 170.54/25.95  | | | | | | | End of split
% 170.54/25.95  | | | | | | | 
% 170.54/25.95  | | | | | | End of split
% 170.54/25.95  | | | | | | 
% 170.54/25.95  | | | | | End of split
% 170.54/25.95  | | | | | 
% 170.54/25.95  | | | | Case 2:
% 170.54/25.95  | | | | | 
% 170.54/25.95  | | | | |   (111)  all_56_11 = e2
% 170.54/25.95  | | | | | 
% 170.54/25.95  | | | | | REF_CLOSE: (14), (23), (111) are inconsistent by sub-proof #442.
% 170.54/25.95  | | | | | 
% 170.54/25.95  | | | | End of split
% 170.54/25.95  | | | | 
% 170.54/25.95  | | | End of split
% 170.54/25.95  | | | 
% 170.54/25.95  | | End of split
% 170.54/25.95  | | 
% 170.54/25.95  | End of split
% 170.54/25.95  | 
% 170.54/25.95  End of proof
% 170.54/25.95  
% 170.54/25.95  Sub-proof #84 shows that the following formulas are inconsistent:
% 170.54/25.95  ----------------------------------------------------------------
% 170.54/25.95    (1)   ~ (all_52_12 = all_14_2)
% 170.54/25.95    (2)  all_54_8 = all_52_2
% 170.54/25.95    (3)  all_56_1 = all_52_4
% 170.54/25.95    (4)  op(all_4_2, e2) = e0
% 170.54/25.95    (5)   ~ (all_6_0 = e0)
% 170.54/25.95    (6)  all_56_12 = all_52_3
% 170.54/25.95    (7)  all_56_15 = e0 | ((all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 170.54/25.95           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0))
% 170.54/25.95    (8)  op(e1, e3) = all_52_2
% 170.54/25.95    (9)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 170.54/25.95    (10)   ~ (all_10_2 = e0)
% 170.54/25.95    (11)   ~ (all_52_8 = all_52_12)
% 170.54/25.95    (12)   ~ (e3 = e1)
% 170.54/25.95    (13)  all_58_23 = all_52_7
% 170.54/25.95    (14)   ~ (all_52_2 = all_6_2)
% 170.54/25.95    (15)   ~ (all_52_3 = all_14_2)
% 170.54/25.95    (16)   ~ (all_52_4 = all_4_2)
% 170.54/25.95    (17)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.54/25.95    (18)  all_50_0 = all_14_0
% 170.54/25.95    (19)  all_54_3 = all_52_12
% 170.54/25.95    (20)   ~ (all_50_0 = e2) |  ~ (all_50_1 = e3) |  ~ (all_50_2 = e1)
% 170.54/25.95    (21)  all_56_5 = all_52_9
% 170.54/25.95    (22)   ~ (all_52_3 = all_52_11)
% 170.54/25.95    (23)  op(all_6_2, e3) = all_6_1
% 170.54/25.95    (24)   ~ (all_52_12 = all_6_2)
% 170.54/25.95    (25)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 170.54/25.95    (26)   ~ (all_52_6 = all_4_2)
% 170.54/25.95    (27)  op(e1, e0) = all_52_14
% 170.54/25.95    (28)   ~ (all_52_13 = e1)
% 170.54/25.95    (29)  all_56_15 = all_14_2
% 170.54/25.95    (30)  op(e0, e2) = all_52_7
% 170.54/25.95    (31)  op(e3, all_52_4) = all_58_1
% 170.54/25.95    (32)  op(all_14_1, e1) = all_14_0
% 170.54/25.95    (33)  op(e1, e0) = all_14_1
% 170.54/25.95    (34)  all_54_1 = all_52_4
% 170.54/25.95    (35)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 170.54/25.95    (36)   ~ (all_52_9 = all_4_2)
% 170.54/25.95    (37)   ~ (all_52_3 = all_52_7)
% 170.54/25.95    (38)  all_56_14 = all_52_11
% 170.54/25.95    (39)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 170.54/25.95    (40)   ~ (all_52_13 = all_4_2)
% 170.54/25.95    (41)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.54/25.95    (42)  all_56_8 = all_10_2
% 170.54/25.95    (43)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.54/25.95    (44)  all_58_26 = all_10_2
% 170.54/25.95    (45)   ~ (all_52_4 = all_52_6)
% 170.54/25.95    (46)  all_58_31 = all_14_2
% 170.54/25.95    (47)   ~ (all_52_11 = all_10_2)
% 170.54/25.95    (48)   ~ (all_52_3 = all_6_2)
% 170.54/25.95    (49)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 170.54/25.95    (50)  op(all_6_1, all_6_2) = all_6_0
% 170.54/25.95    (51)   ~ (all_52_1 = all_6_2)
% 170.54/25.95    (52)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 170.54/25.95    (53)   ~ (all_52_11 = e1)
% 170.54/25.95    (54)  all_54_2 = all_52_8
% 170.54/25.95    (55)  all_56_11 = all_52_14
% 170.54/25.95    (56)  op(e2, e1) = all_52_9
% 170.54/25.95    (57)   ~ (all_52_6 = all_52_7)
% 170.54/25.95    (58)  all_56_0 = all_6_2
% 170.54/25.95    (59)   ~ (all_52_9 = all_10_2)
% 170.54/25.95    (60)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 170.54/25.95    (61)  all_58_30 = all_52_14
% 170.54/25.95    (62)  all_58_27 = all_52_11
% 170.54/25.95    (63)  all_54_14 = all_52_11
% 170.54/25.95    (64)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 170.54/25.95    (65)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 170.54/25.95    (66)  all_58_17 = all_52_1
% 170.54/25.95    (67)  op(e3, e1) = all_52_8
% 170.54/25.95    (68)  op(e2, all_4_2) = all_58_5
% 170.54/25.95    (69)  all_58_19 = all_52_3
% 170.54/25.95    (70)  all_56_9 = all_52_12
% 170.54/25.95    (71)   ~ (all_52_2 = all_52_6)
% 170.54/25.95    (72)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 170.54/25.95    (73)  op(e0, e1) = all_58_15
% 170.54/25.95    (74)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 170.54/25.95    (75)   ~ (all_52_12 = e1)
% 170.54/25.95    (76)  op(e2, e2) = all_4_2
% 170.54/25.95    (77)   ~ (e3 = e2)
% 170.54/25.95    (78)   ~ (all_52_4 = all_52_7)
% 170.54/25.95    (79)   ~ (e2 = e1)
% 170.54/25.95    (80)   ~ (all_52_6 = all_10_2)
% 170.54/25.95    (81)   ~ (all_52_7 = e1)
% 170.54/25.95    (82)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 170.54/25.95    (83)  op(e0, e1) = all_52_11
% 170.54/25.95    (84)   ~ (all_52_7 = all_14_2)
% 170.54/25.95    (85)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 170.54/25.95    (86)   ~ (all_52_14 = e1)
% 170.54/25.95    (87)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 170.54/25.95    (88)   ~ (all_52_1 = all_4_2)
% 170.54/25.95    (89)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.54/25.95    (90)   ~ (all_52_3 = e1)
% 170.54/25.95    (91)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 170.54/25.95    (92)  all_54_9 = all_52_6
% 170.54/25.95    (93)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.54/25.95    (94)   ~ (all_52_13 = all_52_14)
% 170.54/25.95    (95)  op(e2, e3) = all_52_1
% 170.54/25.95    (96)  all_58_18 = all_52_2
% 170.54/25.95    (97)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.54/25.95    (98)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 170.54/25.95    (99)  all_58_16 = all_6_2
% 170.54/25.95    (100)  all_56_13 = all_52_7
% 170.54/25.95    (101)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 170.54/25.95    (102)   ~ (all_52_8 = all_52_9)
% 170.54/25.95    (103)   ~ (all_52_4 = all_6_2)
% 170.54/25.95    (104)  all_50_1 = all_14_1
% 170.54/25.95    (105)  all_56_2 = all_52_1
% 170.54/25.95    (106)   ~ (e3 = e0)
% 170.54/25.95    (107)  all_58_29 = all_52_13
% 170.54/25.95    (108)   ~ (all_52_1 = all_52_2)
% 170.54/25.95    (109)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 170.54/25.95    (110)   ~ (all_6_2 = e0)
% 170.54/25.95    (111)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 170.54/25.95    (112)   ~ (all_52_6 = all_52_14)
% 170.54/25.95    (113)  all_50_2 = e1
% 170.54/25.95    (114)   ~ (all_52_7 = all_4_2)
% 170.54/25.95    (115)   ~ (all_52_8 = all_10_2)
% 170.54/25.95    (116)  all_56_4 = all_52_8
% 170.54/25.95    (117)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.54/25.95    (118)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 170.54/25.95    (119)   ~ (all_52_1 = all_52_13)
% 170.54/25.95    (120)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 170.54/25.95    (121)  all_58_20 = all_52_4
% 170.54/25.95    (122)  all_54_10 = all_10_2
% 170.54/25.95    (123)  all_54_13 = all_52_7
% 170.54/25.95    (124)   ~ (all_52_7 = all_52_11)
% 170.54/25.95    (125)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 170.54/25.95    (126)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 170.54/25.95    (127)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.54/25.95    (128)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.54/25.95    (129)   ~ (all_52_8 = all_52_11)
% 170.54/25.95    (130)   ~ (all_52_8 = all_6_2)
% 170.54/25.95    (131)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 170.54/25.96    (132)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 170.54/25.96    (133)  all_56_6 = all_52_2
% 170.54/25.96    (134)   ~ (all_52_1 = all_52_9)
% 170.54/25.96    (135)  all_58_24 = all_52_8
% 170.54/25.96    (136)   ~ (all_52_12 = all_52_14)
% 170.54/25.96    (137)   ~ (all_52_9 = all_52_11)
% 170.54/25.96    (138)  all_58_22 = all_52_6
% 170.54/25.96    (139)   ~ (all_52_4 = all_52_12)
% 170.54/25.96    (140)  all_56_3 = all_4_2
% 170.54/25.96    (141)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 170.54/25.96    (142)  all_54_0 = all_6_2
% 170.54/25.96    (143)   ~ (all_52_14 = all_10_2)
% 170.54/25.96    (144)   ~ (all_52_2 = all_52_3)
% 170.54/25.96    (145)   ~ (all_52_4 = all_52_8)
% 170.54/25.96    (146)  all_58_25 = all_52_9
% 170.54/25.96    (147)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 170.54/25.96    (148)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.54/25.96             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.54/25.96    (149)   ~ (all_6_1 = e0)
% 170.54/25.96    (150)  all_54_12 = all_52_3
% 170.54/25.96    (151)   ~ (all_52_2 = all_52_14)
% 170.54/25.96    (152)  all_58_21 = all_4_2
% 170.54/25.96    (153)  all_56_10 = all_52_13
% 170.54/25.96    (154)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 170.54/25.96    (155)   ~ (e2 = e0)
% 170.54/25.96    (156)   ~ (all_52_1 = all_52_3)
% 170.54/25.96    (157)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 170.54/25.96    (158)  all_58_28 = all_52_12
% 170.54/25.96    (159)  op(e1, all_52_6) = all_58_9
% 170.54/25.96    (160)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 170.54/25.96    (161)   ~ (e1 = e0)
% 170.54/25.96    (162)  all_54_4 = all_52_1
% 170.54/25.96    (163)  all_56_7 = all_52_6
% 170.54/25.96    (164)  all_58_31 = e1
% 170.54/25.96    (165)  all_54_5 = all_4_2
% 170.54/25.96    (166)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 170.54/25.96    (167)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.54/25.96           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.54/25.96           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.54/25.96           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.54/25.96           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.54/25.96           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.54/25.96           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.54/25.96           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.54/25.96           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.54/25.96           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.54/25.96             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.54/25.96             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.54/25.96             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.54/25.96             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.54/25.96             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.54/25.96             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.54/25.96             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.54/25.96             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.54/25.96             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.54/25.96             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.54/25.96             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.54/25.96             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.54/25.96             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.54/25.96             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.54/25.96             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.54/25.96             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.54/25.96           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.54/25.96           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.54/25.96           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.54/25.96             all_58_30 = e0 & e1 = e0)
% 170.54/25.96    (168)  all_54_7 = all_52_13
% 170.54/25.96    (169)   ~ (all_52_2 = all_10_2)
% 170.54/25.96    (170)  op(e1, e2) = all_52_6
% 170.54/25.96    (171)  all_56_0 = e3 | all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3
% 170.54/25.96    (172)  all_54_11 = all_52_14
% 170.54/25.96    (173)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 170.54/25.96    (174)  all_56_15 = e1
% 170.54/25.96    (175)   ~ (all_52_12 = all_52_13)
% 170.54/25.96  
% 170.54/25.96  Begin of proof
% 170.54/25.96  | 
% 170.54/25.96  | GROUND_INST: instantiating (148) with all_52_11, all_58_15, e1, e0,
% 170.54/25.96  |              simplifying with (73), (83) gives:
% 170.54/25.96  |   (176)  all_58_15 = all_52_11
% 170.54/25.96  | 
% 170.54/25.96  | GROUND_INST: instantiating (148) with all_52_14, all_14_1, e0, e1, simplifying
% 170.54/25.96  |              with (27), (33) gives:
% 170.54/25.96  |   (177)  all_52_14 = all_14_1
% 170.54/25.96  | 
% 170.54/25.96  | COMBINE_EQS: (172), (177) imply:
% 170.54/25.96  |   (178)  all_54_11 = all_14_1
% 170.54/25.96  | 
% 170.54/25.96  | COMBINE_EQS: (55), (177) imply:
% 170.54/25.96  |   (179)  all_56_11 = all_14_1
% 170.54/25.96  | 
% 170.54/25.96  | COMBINE_EQS: (61), (177) imply:
% 170.54/25.96  |   (180)  all_58_30 = all_14_1
% 170.54/25.96  | 
% 170.54/25.96  | REDUCE: (151), (177) imply:
% 170.54/25.96  |   (181)   ~ (all_52_2 = all_14_1)
% 170.54/25.96  | 
% 170.54/25.96  | REDUCE: (112), (177) imply:
% 170.54/25.96  |   (182)   ~ (all_52_6 = all_14_1)
% 170.54/25.96  | 
% 170.54/25.96  | REDUCE: (136), (177) imply:
% 170.54/25.96  |   (183)   ~ (all_52_12 = all_14_1)
% 170.54/25.96  | 
% 170.54/25.96  | REDUCE: (94), (177) imply:
% 170.54/25.96  |   (184)   ~ (all_52_13 = all_14_1)
% 170.54/25.96  | 
% 170.54/25.96  | REDUCE: (143), (177) imply:
% 170.54/25.96  |   (185)   ~ (all_14_1 = all_10_2)
% 170.54/25.96  | 
% 170.54/25.96  | REDUCE: (86), (177) imply:
% 170.54/25.96  |   (186)   ~ (all_14_1 = e1)
% 170.54/25.96  | 
% 170.54/25.96  | BETA: splitting (20) gives:
% 170.54/25.96  | 
% 170.54/25.96  | Case 1:
% 170.54/25.96  | | 
% 170.54/25.96  | |   (187)   ~ (all_50_2 = e1)
% 170.54/25.96  | | 
% 170.54/25.96  | | REDUCE: (113), (187) imply:
% 170.54/25.96  | |   (188)  $false
% 170.54/25.96  | | 
% 170.54/25.96  | | CLOSE: (188) is inconsistent.
% 170.54/25.96  | | 
% 170.54/25.96  | Case 2:
% 170.54/25.96  | | 
% 170.54/25.96  | |   (189)   ~ (all_50_0 = e2) |  ~ (all_50_1 = e3)
% 170.54/25.96  | | 
% 170.54/25.96  | | BETA: splitting (74) gives:
% 170.54/25.96  | | 
% 170.54/25.96  | | Case 1:
% 170.54/25.96  | | | 
% 170.54/25.96  | | |   (190)  all_54_10 = e0
% 170.54/25.96  | | | 
% 170.54/25.96  | | | COMBINE_EQS: (122), (190) imply:
% 170.54/25.96  | | |   (191)  all_10_2 = e0
% 170.54/25.96  | | | 
% 170.54/25.96  | | | REDUCE: (10), (191) imply:
% 170.54/25.96  | | |   (192)  $false
% 170.54/25.96  | | | 
% 170.54/25.96  | | | CLOSE: (192) is inconsistent.
% 170.54/25.96  | | | 
% 170.54/25.96  | | Case 2:
% 170.54/25.96  | | | 
% 170.54/25.96  | | |   (193)   ~ (all_54_10 = e0)
% 170.54/25.96  | | |   (194)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 170.54/25.96  | | | 
% 170.54/25.96  | | | BETA: splitting (9) gives:
% 170.54/25.96  | | | 
% 170.54/25.96  | | | Case 1:
% 170.54/25.96  | | | | 
% 170.54/25.96  | | | |   (195)  all_54_0 = e0
% 170.54/25.96  | | | | 
% 170.54/25.96  | | | | REF_CLOSE: (110), (142), (195) are inconsistent by sub-proof #984.
% 170.54/25.96  | | | | 
% 170.54/25.96  | | | Case 2:
% 170.54/25.96  | | | | 
% 170.54/25.96  | | | |   (196)   ~ (all_54_0 = e0)
% 170.54/25.96  | | | |   (197)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 170.54/25.96  | | | | 
% 170.54/25.96  | | | | BETA: splitting (157) gives:
% 170.54/25.96  | | | | 
% 170.54/25.96  | | | | Case 1:
% 170.54/25.96  | | | | | 
% 170.54/25.96  | | | | |   (198)  all_54_13 = e0
% 170.54/25.96  | | | | | 
% 170.54/25.96  | | | | | COMBINE_EQS: (123), (198) imply:
% 170.54/25.96  | | | | |   (199)  all_52_7 = e0
% 170.54/25.96  | | | | | 
% 170.54/25.96  | | | | | COMBINE_EQS: (100), (199) imply:
% 170.54/25.96  | | | | |   (200)  all_56_13 = e0
% 170.54/25.96  | | | | | 
% 170.54/25.96  | | | | | REDUCE: (37), (199) imply:
% 170.54/25.96  | | | | |   (201)   ~ (all_52_3 = e0)
% 170.54/25.96  | | | | | 
% 170.54/25.96  | | | | | REDUCE: (78), (199) imply:
% 170.54/25.96  | | | | |   (202)   ~ (all_52_4 = e0)
% 170.54/25.96  | | | | | 
% 170.54/25.96  | | | | | REDUCE: (57), (199) imply:
% 170.54/25.96  | | | | |   (203)   ~ (all_52_6 = e0)
% 170.54/25.96  | | | | | 
% 170.54/25.96  | | | | | REDUCE: (124), (199) imply:
% 170.54/25.96  | | | | |   (204)   ~ (all_52_11 = e0)
% 170.54/25.96  | | | | | 
% 170.54/25.96  | | | | | SIMP: (204) implies:
% 170.54/25.96  | | | | |   (205)   ~ (all_52_11 = e0)
% 170.54/25.96  | | | | | 
% 170.54/25.96  | | | | | REDUCE: (114), (199) imply:
% 170.54/25.96  | | | | |   (206)   ~ (all_4_2 = e0)
% 170.54/25.96  | | | | | 
% 170.54/25.96  | | | | | SIMP: (206) implies:
% 170.54/25.96  | | | | |   (207)   ~ (all_4_2 = e0)
% 170.54/25.96  | | | | | 
% 170.54/25.96  | | | | | REDUCE: (81), (199) imply:
% 170.54/25.96  | | | | |   (208)   ~ (e1 = e0)
% 170.54/25.96  | | | | | 
% 170.54/25.96  | | | | | BETA: splitting (120) gives:
% 170.54/25.96  | | | | | 
% 170.54/25.96  | | | | | Case 1:
% 170.54/25.96  | | | | | | 
% 170.54/25.96  | | | | | |   (209)  all_54_12 = e0
% 170.54/25.96  | | | | | | 
% 170.54/25.96  | | | | | | COMBINE_EQS: (150), (209) imply:
% 170.54/25.96  | | | | | |   (210)  all_52_3 = e0
% 170.54/25.96  | | | | | | 
% 170.54/25.96  | | | | | | REDUCE: (201), (210) imply:
% 170.54/25.96  | | | | | |   (211)  $false
% 170.54/25.96  | | | | | | 
% 170.54/25.96  | | | | | | CLOSE: (211) is inconsistent.
% 170.54/25.96  | | | | | | 
% 170.54/25.96  | | | | | Case 2:
% 170.54/25.96  | | | | | | 
% 170.54/25.96  | | | | | |   (212)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 170.54/25.96  | | | | | | 
% 170.54/25.96  | | | | | | BETA: splitting (72) gives:
% 170.54/25.96  | | | | | | 
% 170.54/25.96  | | | | | | Case 1:
% 170.54/25.96  | | | | | | | 
% 170.54/25.96  | | | | | | |   (213)  all_54_14 = e0
% 170.54/25.96  | | | | | | | 
% 170.54/25.96  | | | | | | | REF_CLOSE: (63), (205), (213) are inconsistent by sub-proof #799.
% 170.54/25.96  | | | | | | | 
% 170.54/25.96  | | | | | | Case 2:
% 170.54/25.96  | | | | | | | 
% 170.54/25.96  | | | | | | |   (214)   ~ (all_54_14 = e0)
% 170.54/25.96  | | | | | | |   (215)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 170.54/25.96  | | | | | | | 
% 170.54/25.96  | | | | | | | BETA: splitting (127) gives:
% 170.54/25.96  | | | | | | | 
% 170.54/25.96  | | | | | | | Case 1:
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | |   (216)  all_56_6 = e0
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | | COMBINE_EQS: (133), (216) imply:
% 170.54/25.96  | | | | | | | |   (217)  all_52_2 = e0
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | | COMBINE_EQS: (96), (217) imply:
% 170.54/25.96  | | | | | | | |   (218)  all_58_18 = e0
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | | REDUCE: (108), (217) imply:
% 170.54/25.96  | | | | | | | |   (219)   ~ (all_52_1 = e0)
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | | REDUCE: (144), (217) imply:
% 170.54/25.96  | | | | | | | |   (220)   ~ (all_52_3 = e0)
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | | REDUCE: (71), (217) imply:
% 170.54/25.96  | | | | | | | |   (221)   ~ (all_52_6 = e0)
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | | REDUCE: (181), (217) imply:
% 170.54/25.96  | | | | | | | |   (222)   ~ (all_14_1 = e0)
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | | SIMP: (222) implies:
% 170.54/25.96  | | | | | | | |   (223)   ~ (all_14_1 = e0)
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | | REDUCE: (169), (217) imply:
% 170.54/25.96  | | | | | | | |   (224)   ~ (all_10_2 = e0)
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | | REDUCE: (14), (217) imply:
% 170.54/25.96  | | | | | | | |   (225)   ~ (all_6_2 = e0)
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | | REDUCE: (8), (217) imply:
% 170.54/25.96  | | | | | | | |   (226)  op(e1, e3) = e0
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | | REF_CLOSE: (3), (6), (10), (11), (17), (18), (21), (23), (24),
% 170.54/25.96  | | | | | | | |            (28), (31), (32), (38), (39), (42), (43), (44), (51),
% 170.54/25.96  | | | | | | | |            (52), (54), (58), (59), (60), (62), (65), (66), (67),
% 170.54/25.96  | | | | | | | |            (69), (70), (75), (77), (79), (80), (88), (89), (90),
% 170.54/25.96  | | | | | | | |            (92), (99), (101), (102), (104), (105), (106), (107),
% 170.54/25.96  | | | | | | | |            (110), (115), (116), (117), (119), (126), (129),
% 170.54/25.96  | | | | | | | |            (130), (132), (134), (135), (137), (140), (142),
% 170.54/25.96  | | | | | | | |            (146), (147), (148), (149), (153), (155), (158),
% 170.54/25.96  | | | | | | | |            (159), (160), (163), (164), (174), (175), (178),
% 170.54/25.96  | | | | | | | |            (179), (180), (182), (184), (185), (186), (189),
% 170.54/25.96  | | | | | | | |            (197), (200), (201), (202), (203), (205), (207),
% 170.54/25.96  | | | | | | | |            (216), (218), (219), (223), (226) are inconsistent by
% 170.54/25.96  | | | | | | | |            sub-proof #658.
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | Case 2:
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | |   (227)   ~ (all_56_6 = e0)
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | | REDUCE: (133), (227) imply:
% 170.54/25.96  | | | | | | | |   (228)   ~ (all_52_2 = e0)
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | | BETA: splitting (125) gives:
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | | Case 1:
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | |   (229)  all_56_0 = e0
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | | COMBINE_EQS: (58), (229) imply:
% 170.54/25.96  | | | | | | | | |   (230)  all_6_2 = e0
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | | REDUCE: (110), (230) imply:
% 170.54/25.96  | | | | | | | | |   (231)  $false
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | | CLOSE: (231) is inconsistent.
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | Case 2:
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | |   (232)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | | REF_CLOSE: (2), (3), (6), (7), (10), (11), (14), (17), (19),
% 170.54/25.96  | | | | | | | | |            (21), (22), (24), (32), (35), (37), (38), (41),
% 170.54/25.96  | | | | | | | | |            (42), (43), (44), (48), (49), (53), (58), (60),
% 170.54/25.96  | | | | | | | | |            (62), (63), (64), (66), (69), (70), (75), (83),
% 170.54/25.96  | | | | | | | | |            (89), (90), (96), (98), (99), (100), (101), (105),
% 170.54/25.96  | | | | | | | | |            (107), (108), (111), (116), (118), (119), (129),
% 170.54/25.96  | | | | | | | | |            (133), (134), (135), (137), (140), (142), (144),
% 170.54/25.96  | | | | | | | | |            (146), (148), (150), (153), (156), (158), (161),
% 170.54/25.96  | | | | | | | | |            (163), (164), (166), (169), (174), (175), (179),
% 170.54/25.96  | | | | | | | | |            (180), (181), (183), (185), (197), (202), (203),
% 170.54/25.96  | | | | | | | | |            (205), (207), (212), (215), (228), (232) are
% 170.54/25.96  | | | | | | | | |            inconsistent by sub-proof #652.
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | End of split
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | End of split
% 170.54/25.96  | | | | | | | 
% 170.54/25.96  | | | | | | End of split
% 170.54/25.96  | | | | | | 
% 170.54/25.96  | | | | | End of split
% 170.54/25.96  | | | | | 
% 170.54/25.96  | | | | Case 2:
% 170.54/25.96  | | | | | 
% 170.54/25.96  | | | | |   (233)   ~ (all_54_13 = e0)
% 170.54/25.96  | | | | |   (234)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 170.54/25.96  | | | | | 
% 170.54/25.96  | | | | | REDUCE: (123), (233) imply:
% 170.54/25.96  | | | | |   (235)   ~ (all_52_7 = e0)
% 170.54/25.96  | | | | | 
% 170.54/25.96  | | | | | BETA: splitting (120) gives:
% 170.54/25.96  | | | | | 
% 170.54/25.96  | | | | | Case 1:
% 170.54/25.96  | | | | | | 
% 170.54/25.96  | | | | | |   (236)  all_54_12 = e0
% 170.54/25.96  | | | | | | 
% 170.54/25.96  | | | | | | COMBINE_EQS: (150), (236) imply:
% 170.54/25.96  | | | | | |   (237)  all_52_3 = e0
% 170.54/25.96  | | | | | | 
% 170.54/25.96  | | | | | | SIMP: (237) implies:
% 170.54/25.96  | | | | | |   (238)  all_52_3 = e0
% 170.54/25.96  | | | | | | 
% 170.54/25.96  | | | | | | COMBINE_EQS: (6), (238) imply:
% 170.54/25.96  | | | | | |   (239)  all_56_12 = e0
% 170.54/25.96  | | | | | | 
% 170.54/25.96  | | | | | | REDUCE: (156), (238) imply:
% 170.54/25.96  | | | | | |   (240)   ~ (all_52_1 = e0)
% 170.54/25.96  | | | | | | 
% 170.54/25.96  | | | | | | REDUCE: (144), (238) imply:
% 170.54/25.96  | | | | | |   (241)   ~ (all_52_2 = e0)
% 170.54/25.96  | | | | | | 
% 170.54/25.96  | | | | | | REDUCE: (37), (238) imply:
% 170.54/25.96  | | | | | |   (242)   ~ (all_52_7 = e0)
% 170.54/25.96  | | | | | | 
% 170.54/25.96  | | | | | | REDUCE: (22), (238) imply:
% 170.54/25.96  | | | | | |   (243)   ~ (all_52_11 = e0)
% 170.54/25.96  | | | | | | 
% 170.54/25.96  | | | | | | SIMP: (243) implies:
% 170.54/25.96  | | | | | |   (244)   ~ (all_52_11 = e0)
% 170.54/25.96  | | | | | | 
% 170.54/25.96  | | | | | | REDUCE: (48), (238) imply:
% 170.54/25.96  | | | | | |   (245)   ~ (all_6_2 = e0)
% 170.54/25.96  | | | | | | 
% 170.54/25.96  | | | | | | REDUCE: (90), (238) imply:
% 170.54/25.96  | | | | | |   (246)   ~ (e1 = e0)
% 170.54/25.96  | | | | | | 
% 170.54/25.96  | | | | | | BETA: splitting (101) gives:
% 170.54/25.96  | | | | | | 
% 170.54/25.96  | | | | | | Case 1:
% 170.54/25.96  | | | | | | | 
% 170.54/25.96  | | | | | | |   (247)  all_56_4 = e0
% 170.54/25.96  | | | | | | | 
% 170.54/25.96  | | | | | | | COMBINE_EQS: (116), (247) imply:
% 170.54/25.96  | | | | | | |   (248)  all_52_8 = e0
% 170.54/25.96  | | | | | | | 
% 170.54/25.96  | | | | | | | REDUCE: (102), (248) imply:
% 170.54/25.96  | | | | | | |   (249)   ~ (all_52_9 = e0)
% 170.54/25.96  | | | | | | | 
% 170.54/25.96  | | | | | | | SIMP: (249) implies:
% 170.54/25.96  | | | | | | |   (250)   ~ (all_52_9 = e0)
% 170.54/25.96  | | | | | | | 
% 170.54/25.96  | | | | | | | REDUCE: (115), (248) imply:
% 170.54/25.96  | | | | | | |   (251)   ~ (all_10_2 = e0)
% 170.54/25.96  | | | | | | | 
% 170.54/25.96  | | | | | | | BETA: splitting (117) gives:
% 170.54/25.96  | | | | | | | 
% 170.54/25.96  | | | | | | | Case 1:
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | |   (252)  all_56_2 = e0
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | | COMBINE_EQS: (105), (252) imply:
% 170.54/25.96  | | | | | | | |   (253)  all_52_1 = e0
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | | REDUCE: (240), (253) imply:
% 170.54/25.96  | | | | | | | |   (254)  $false
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | | CLOSE: (254) is inconsistent.
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | Case 2:
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | |   (255)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | | BETA: splitting (87) gives:
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | | Case 1:
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | |   (256)  all_54_7 = e0
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | | COMBINE_EQS: (168), (256) imply:
% 170.54/25.96  | | | | | | | | |   (257)  all_52_13 = e0
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | | REDUCE: (40), (257) imply:
% 170.54/25.96  | | | | | | | | |   (258)   ~ (all_4_2 = e0)
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | | SIMP: (258) implies:
% 170.54/25.96  | | | | | | | | |   (259)   ~ (all_4_2 = e0)
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | | REF_CLOSE: (1), (2), (3), (5), (8), (10), (11), (12), (13),
% 170.54/25.96  | | | | | | | | |            (14), (16), (21), (23), (24), (26), (28), (29),
% 170.54/25.96  | | | | | | | | |            (32), (34), (36), (38), (40), (41), (42), (43),
% 170.54/25.96  | | | | | | | | |            (44), (45), (46), (47), (49), (50), (51), (55),
% 170.54/25.96  | | | | | | | | |            (56), (57), (58), (59), (60), (61), (62), (63),
% 170.54/25.96  | | | | | | | | |            (65), (70), (71), (72), (75), (77), (78), (79),
% 170.54/25.96  | | | | | | | | |            (80), (83), (84), (85), (88), (89), (91), (93),
% 170.54/25.96  | | | | | | | | |            (94), (95), (97), (98), (100), (101), (102), (103),
% 170.54/25.96  | | | | | | | | |            (105), (106), (107), (108), (109), (110), (111),
% 170.54/25.96  | | | | | | | | |            (112), (114), (115), (116), (119), (121), (123),
% 170.54/25.96  | | | | | | | | |            (124), (127), (128), (129), (130), (131), (132),
% 170.54/25.96  | | | | | | | | |            (133), (134), (135), (137), (138), (139), (140),
% 170.54/25.96  | | | | | | | | |            (141), (142), (143), (145), (146), (148), (152),
% 170.54/25.96  | | | | | | | | |            (153), (154), (155), (157), (158), (160), (161),
% 170.54/25.96  | | | | | | | | |            (162), (163), (164), (166), (169), (170), (173),
% 170.54/25.96  | | | | | | | | |            (174), (175), (179), (180), (181), (186), (197),
% 170.54/25.96  | | | | | | | | |            (235), (239), (241), (244), (255), (259) are
% 170.54/25.96  | | | | | | | | |            inconsistent by sub-proof #668.
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | Case 2:
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | |   (260)   ~ (all_54_7 = e0)
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | | REDUCE: (168), (260) imply:
% 170.54/25.96  | | | | | | | | |   (261)   ~ (all_52_13 = e0)
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | | REF_CLOSE: (4), (21), (30), (114), (140), (148), (153), (250),
% 170.54/25.96  | | | | | | | | |            (255), (261) are inconsistent by sub-proof #127.
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | End of split
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | End of split
% 170.54/25.96  | | | | | | | 
% 170.54/25.96  | | | | | | Case 2:
% 170.54/25.96  | | | | | | | 
% 170.54/25.96  | | | | | | |   (262)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 170.54/25.96  | | | | | | | 
% 170.54/25.96  | | | | | | | BETA: splitting (262) gives:
% 170.54/25.96  | | | | | | | 
% 170.54/25.96  | | | | | | | Case 1:
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | |   (263)  all_56_5 = e0
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | | COMBINE_EQS: (21), (263) imply:
% 170.54/25.96  | | | | | | | |   (264)  all_52_9 = e0
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | | REDUCE: (59), (264) imply:
% 170.54/25.96  | | | | | | | |   (265)   ~ (all_10_2 = e0)
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | | REDUCE: (36), (264) imply:
% 170.54/25.96  | | | | | | | |   (266)   ~ (all_4_2 = e0)
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | | SIMP: (266) implies:
% 170.54/25.96  | | | | | | | |   (267)   ~ (all_4_2 = e0)
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | | REF_CLOSE: (1), (2), (3), (5), (8), (10), (11), (12), (13),
% 170.54/25.96  | | | | | | | |            (14), (16), (21), (23), (24), (26), (28), (29), (32),
% 170.54/25.96  | | | | | | | |            (34), (36), (38), (40), (41), (42), (43), (44), (45),
% 170.54/25.96  | | | | | | | |            (46), (47), (49), (50), (51), (55), (56), (57), (58),
% 170.54/25.96  | | | | | | | |            (59), (60), (61), (62), (63), (65), (70), (71), (72),
% 170.54/25.96  | | | | | | | |            (75), (77), (78), (79), (80), (83), (84), (85), (88),
% 170.54/25.96  | | | | | | | |            (89), (91), (93), (94), (95), (97), (98), (100),
% 170.54/25.96  | | | | | | | |            (101), (102), (103), (105), (106), (107), (108),
% 170.54/25.96  | | | | | | | |            (109), (110), (111), (112), (114), (115), (116),
% 170.54/25.96  | | | | | | | |            (117), (119), (121), (123), (124), (127), (128),
% 170.54/25.96  | | | | | | | |            (129), (130), (131), (132), (133), (134), (135),
% 170.54/25.96  | | | | | | | |            (137), (138), (139), (140), (141), (142), (143),
% 170.54/25.96  | | | | | | | |            (145), (146), (148), (152), (153), (154), (155),
% 170.54/25.96  | | | | | | | |            (157), (158), (160), (161), (162), (163), (164),
% 170.54/25.96  | | | | | | | |            (166), (169), (170), (173), (174), (175), (179),
% 170.54/25.96  | | | | | | | |            (180), (181), (186), (197), (235), (239), (240),
% 170.54/25.96  | | | | | | | |            (241), (244), (267) are inconsistent by sub-proof
% 170.54/25.96  | | | | | | | |            #667.
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | Case 2:
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | |   (268)  all_56_8 = e0 | all_56_14 = e0
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | | REF_CLOSE: (10), (38), (42), (244), (268) are inconsistent by
% 170.54/25.96  | | | | | | | |            sub-proof #914.
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | End of split
% 170.54/25.96  | | | | | | | 
% 170.54/25.96  | | | | | | End of split
% 170.54/25.96  | | | | | | 
% 170.54/25.96  | | | | | Case 2:
% 170.54/25.96  | | | | | | 
% 170.54/25.96  | | | | | |   (269)   ~ (all_54_12 = e0)
% 170.54/25.96  | | | | | |   (270)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 170.54/25.96  | | | | | | 
% 170.54/25.96  | | | | | | REDUCE: (150), (269) imply:
% 170.54/25.96  | | | | | |   (271)   ~ (all_52_3 = e0)
% 170.54/25.96  | | | | | | 
% 170.54/25.96  | | | | | | BETA: splitting (7) gives:
% 170.54/25.96  | | | | | | 
% 170.54/25.96  | | | | | | Case 1:
% 170.54/25.96  | | | | | | | 
% 170.54/25.96  | | | | | | |   (272)  all_56_15 = e0
% 170.54/25.96  | | | | | | | 
% 170.54/25.96  | | | | | | | REF_CLOSE: (161), (174), (272) are inconsistent by sub-proof #657.
% 170.54/25.96  | | | | | | | 
% 170.54/25.96  | | | | | | Case 2:
% 170.54/25.96  | | | | | | | 
% 170.54/25.96  | | | | | | |   (273)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 170.54/25.96  | | | | | | |          (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0)
% 170.54/25.96  | | | | | | | 
% 170.54/25.96  | | | | | | | ALPHA: (273) implies:
% 170.54/25.96  | | | | | | |   (274)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 170.54/25.96  | | | | | | |   (275)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 170.54/25.96  | | | | | | | 
% 170.54/25.96  | | | | | | | BETA: splitting (274) gives:
% 170.54/25.96  | | | | | | | 
% 170.54/25.96  | | | | | | | Case 1:
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | |   (276)  all_56_12 = e0
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | | REF_CLOSE: (6), (271), (276) are inconsistent by sub-proof #919.
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | Case 2:
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | |   (277)  all_56_13 = e0 | all_56_14 = e0
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | | BETA: splitting (277) gives:
% 170.54/25.96  | | | | | | | | 
% 170.54/25.96  | | | | | | | | Case 1:
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | |   (278)  all_56_13 = e0
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | | REF_CLOSE: (100), (235), (278) are inconsistent by sub-proof
% 170.54/25.96  | | | | | | | | |            #942.
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | Case 2:
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | |   (279)  all_56_14 = e0
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | | COMBINE_EQS: (38), (279) imply:
% 170.54/25.96  | | | | | | | | |   (280)  all_52_11 = e0
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | | SIMP: (280) implies:
% 170.54/25.96  | | | | | | | | |   (281)  all_52_11 = e0
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | | COMBINE_EQS: (62), (281) imply:
% 170.54/25.96  | | | | | | | | |   (282)  all_58_27 = e0
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | | REDUCE: (129), (281) imply:
% 170.54/25.96  | | | | | | | | |   (283)   ~ (all_52_8 = e0)
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | | REDUCE: (137), (281) imply:
% 170.54/25.96  | | | | | | | | |   (284)   ~ (all_52_9 = e0)
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | | REDUCE: (53), (281) imply:
% 170.54/25.96  | | | | | | | | |   (285)   ~ (e1 = e0)
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | | BETA: splitting (125) gives:
% 170.54/25.96  | | | | | | | | | 
% 170.54/25.96  | | | | | | | | | Case 1:
% 170.54/25.96  | | | | | | | | | | 
% 170.54/25.96  | | | | | | | | | |   (286)  all_56_0 = e0
% 170.54/25.96  | | | | | | | | | | 
% 170.54/25.96  | | | | | | | | | | COMBINE_EQS: (58), (286) imply:
% 170.54/25.96  | | | | | | | | | |   (287)  all_6_2 = e0
% 170.54/25.96  | | | | | | | | | | 
% 170.54/25.96  | | | | | | | | | | REDUCE: (110), (287) imply:
% 170.54/25.96  | | | | | | | | | |   (288)  $false
% 170.54/25.96  | | | | | | | | | | 
% 170.54/25.96  | | | | | | | | | | CLOSE: (288) is inconsistent.
% 170.54/25.96  | | | | | | | | | | 
% 170.54/25.96  | | | | | | | | | Case 2:
% 170.54/25.96  | | | | | | | | | | 
% 170.54/25.96  | | | | | | | | | |   (289)   ~ (all_56_0 = e0)
% 170.54/25.96  | | | | | | | | | |   (290)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 170.54/25.96  | | | | | | | | | | 
% 170.54/25.96  | | | | | | | | | | BETA: splitting (132) gives:
% 170.54/25.96  | | | | | | | | | | 
% 170.54/25.96  | | | | | | | | | | Case 1:
% 170.54/25.96  | | | | | | | | | | | 
% 170.54/25.96  | | | | | | | | | | |   (291)  all_56_0 = e0
% 170.54/25.96  | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | COMBINE_EQS: (58), (291) imply:
% 170.54/25.97  | | | | | | | | | | |   (292)  all_6_2 = e0
% 170.54/25.97  | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | REDUCE: (110), (292) imply:
% 170.54/25.97  | | | | | | | | | | |   (293)  $false
% 170.54/25.97  | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | CLOSE: (293) is inconsistent.
% 170.54/25.97  | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | Case 2:
% 170.54/25.97  | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | |   (294)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 170.54/25.97  | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | BETA: splitting (39) gives:
% 170.54/25.97  | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | |   (295)  all_54_11 = e0
% 170.54/25.97  | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | COMBINE_EQS: (178), (295) imply:
% 170.54/25.97  | | | | | | | | | | | |   (296)  all_14_1 = e0
% 170.54/25.97  | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | SIMP: (296) implies:
% 170.54/25.97  | | | | | | | | | | | |   (297)  all_14_1 = e0
% 170.54/25.97  | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | REDUCE: (181), (297) imply:
% 170.54/25.97  | | | | | | | | | | | |   (298)   ~ (all_52_2 = e0)
% 170.54/25.97  | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | REF_CLOSE: (1), (3), (4), (6), (9), (12), (13), (14), (15),
% 170.54/25.97  | | | | | | | | | | | |            (17), (24), (26), (29), (37), (41), (43), (44),
% 170.54/25.97  | | | | | | | | | | | |            (46), (48), (51), (55), (57), (58), (61), (66),
% 170.54/25.97  | | | | | | | | | | | |            (68), (69), (70), (71), (76), (79), (81), (82),
% 170.54/25.97  | | | | | | | | | | | |            (84), (88), (89), (90), (93), (96), (97), (98),
% 170.54/25.97  | | | | | | | | | | | |            (99), (100), (103), (105), (106), (107), (108),
% 170.54/25.97  | | | | | | | | | | | |            (112), (114), (119), (121), (123), (128), (133),
% 170.54/25.97  | | | | | | | | | | | |            (138), (140), (142), (144), (148), (151), (152),
% 170.54/25.97  | | | | | | | | | | | |            (153), (155), (156), (158), (160), (161), (163),
% 170.54/25.97  | | | | | | | | | | | |            (167), (169), (171), (175), (234), (235), (271),
% 170.54/25.97  | | | | | | | | | | | |            (275), (282), (290), (298) are inconsistent by
% 170.54/25.97  | | | | | | | | | | | |            sub-proof #87.
% 170.54/25.97  | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | Case 2:
% 170.54/25.97  | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | |   (299)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 170.54/25.97  | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | BETA: splitting (127) gives:
% 170.54/25.97  | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | |   (300)  all_56_6 = e0
% 170.54/25.97  | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | COMBINE_EQS: (133), (300) imply:
% 170.54/25.97  | | | | | | | | | | | | |   (301)  all_52_2 = e0
% 170.54/25.97  | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | COMBINE_EQS: (96), (301) imply:
% 170.54/25.97  | | | | | | | | | | | | |   (302)  all_58_18 = e0
% 170.54/25.97  | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | REDUCE: (108), (301) imply:
% 170.54/25.97  | | | | | | | | | | | | |   (303)   ~ (all_52_1 = e0)
% 170.54/25.97  | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | REDUCE: (144), (301) imply:
% 170.54/25.97  | | | | | | | | | | | | |   (304)   ~ (all_52_3 = e0)
% 170.54/25.97  | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | REDUCE: (169), (301) imply:
% 170.54/25.97  | | | | | | | | | | | | |   (305)   ~ (all_10_2 = e0)
% 170.54/25.97  | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | BETA: splitting (117) gives:
% 170.54/25.97  | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | |   (306)  all_56_2 = e0
% 170.54/25.97  | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | COMBINE_EQS: (105), (306) imply:
% 170.54/25.97  | | | | | | | | | | | | | |   (307)  all_52_1 = e0
% 170.54/25.97  | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | REDUCE: (303), (307) imply:
% 170.54/25.97  | | | | | | | | | | | | | |   (308)  $false
% 170.54/25.97  | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | CLOSE: (308) is inconsistent.
% 170.54/25.97  | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | Case 2:
% 170.54/25.97  | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | |   (309)   ~ (all_56_2 = e0)
% 170.54/25.97  | | | | | | | | | | | | | |   (310)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.54/25.97  | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | BETA: splitting (98) gives:
% 170.54/25.97  | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | |   (311)  all_56_1 = e0
% 170.54/25.97  | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | COMBINE_EQS: (3), (311) imply:
% 170.54/25.97  | | | | | | | | | | | | | | |   (312)  all_52_4 = e0
% 170.54/25.97  | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | COMBINE_EQS: (121), (312) imply:
% 170.54/25.97  | | | | | | | | | | | | | | |   (313)  all_58_20 = e0
% 170.54/25.97  | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | REDUCE: (45), (312) imply:
% 170.54/25.97  | | | | | | | | | | | | | | |   (314)   ~ (all_52_6 = e0)
% 170.54/25.97  | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | SIMP: (314) implies:
% 170.54/25.97  | | | | | | | | | | | | | | |   (315)   ~ (all_52_6 = e0)
% 170.54/25.97  | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | REDUCE: (78), (312) imply:
% 170.54/25.97  | | | | | | | | | | | | | | |   (316)   ~ (all_52_7 = e0)
% 170.54/25.97  | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | REDUCE: (145), (312) imply:
% 170.54/25.97  | | | | | | | | | | | | | | |   (317)   ~ (all_52_8 = e0)
% 170.54/25.97  | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | REDUCE: (16), (312) imply:
% 170.54/25.97  | | | | | | | | | | | | | | |   (318)   ~ (all_4_2 = e0)
% 170.54/25.97  | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | SIMP: (318) implies:
% 170.54/25.97  | | | | | | | | | | | | | | |   (319)   ~ (all_4_2 = e0)
% 170.54/25.97  | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 170.54/25.97  | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | |   (320)  all_56_3 = e0
% 170.54/25.97  | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | COMBINE_EQS: (140), (320) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | |   (321)  all_4_2 = e0
% 170.54/25.97  | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | REDUCE: (319), (321) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | |   (322)  $false
% 170.54/25.97  | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | CLOSE: (322) is inconsistent.
% 170.54/25.97  | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | Case 2:
% 170.54/25.97  | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | |   (323)  all_56_5 = e0 | all_56_10 = e0
% 170.54/25.97  | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | BETA: splitting (323) gives:
% 170.54/25.97  | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | |   (324)  all_56_5 = e0
% 170.54/25.97  | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | COMBINE_EQS: (21), (324) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | |   (325)  all_52_9 = e0
% 170.54/25.97  | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | REDUCE: (284), (325) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | |   (326)  $false
% 170.54/25.97  | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | CLOSE: (326) is inconsistent.
% 170.54/25.97  | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.97  | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | |   (327)  all_56_10 = e0
% 170.54/25.97  | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | COMBINE_EQS: (153), (327) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | |   (328)  all_52_13 = e0
% 170.54/25.97  | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | SIMP: (328) implies:
% 170.54/25.97  | | | | | | | | | | | | | | | | |   (329)  all_52_13 = e0
% 170.54/25.97  | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | COMBINE_EQS: (107), (329) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | |   (330)  all_58_29 = e0
% 170.54/25.97  | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | REDUCE: (175), (329) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | |   (331)   ~ (all_52_12 = e0)
% 170.54/25.97  | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | BETA: splitting (43) gives:
% 170.54/25.97  | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | |   (332)  all_58_31 = e0
% 170.54/25.97  | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (164), (332) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | |   (333)  e1 = e0
% 170.54/25.97  | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | REDUCE: (161), (333) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | |   (334)  $false
% 170.54/25.97  | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | CLOSE: (334) is inconsistent.
% 170.54/25.97  | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | |   (335)   ~ (all_58_31 = e0)
% 170.54/25.97  | | | | | | | | | | | | | | | | | |   (336)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | |   (337)  all_58_30 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (180), (337) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | |   (338)  all_14_1 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | REDUCE: (186), (338) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | |   (339)  $false
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | CLOSE: (339) is inconsistent.
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | |   (340)   ~ (all_58_30 = e1)
% 170.54/25.97  | | | | | | | | | | | | | | | | | | |   (341)  all_58_28 = e3 | all_58_29 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | BETA: splitting (341) gives:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | |   (342)  all_58_29 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (155), (330), (342) are inconsistent by sub-proof
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | |            #889.
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | |   (343)  all_58_28 = e3
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (158), (343) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | |   (344)  all_52_12 = e3
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (344) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | |   (345)   ~ (all_52_8 = e3)
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | REDUCE: (183), (344) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | |   (346)   ~ (all_14_1 = e3)
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | SIMP: (346) implies:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | |   (347)   ~ (all_14_1 = e3)
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (344) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | |   (348)   ~ (all_6_2 = e3)
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | SIMP: (348) implies:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | |   (349)   ~ (all_6_2 = e3)
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | BETA: splitting (17) gives:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | |   (350)  all_58_19 = e0
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (69), (350) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | |   (351)  all_52_3 = e0
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | REDUCE: (271), (351) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | |   (352)  $false
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | CLOSE: (352) is inconsistent.
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | |   (353)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (353) gives:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | |   (354)  all_58_18 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (302), (354) are inconsistent by sub-proof
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | |            #888.
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | |   (355)  all_58_16 = e3 | all_58_17 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (299) gives:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | |   (356)  all_54_11 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (178), (186), (356) are inconsistent by sub-proof
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | |            #665.
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | |   (357)  all_54_11 = e3 | all_54_11 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (357) gives:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | |   (358)  all_54_11 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (178), (358) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | |   (359)  all_14_1 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (359) implies:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | |   (360)  all_14_1 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (179), (360) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | |   (361)  all_56_11 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (180), (360) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | |   (362)  all_58_30 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (355) gives:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  all_58_17 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (66), (363) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  all_52_1 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (105), (364) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | |   (365)  all_56_2 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (156), (364) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | |   (366)   ~ (all_52_3 = e2)
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (366) implies:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | |   (367)   ~ (all_52_3 = e2)
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (364) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | |   (368)   ~ (all_6_2 = e2)
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (368) implies:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | |   (369)   ~ (all_6_2 = e2)
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | |   (370)  all_54_12 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (90), (150), (370) are inconsistent by sub-proof
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | |            #812.
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | |   (371)  all_54_12 = e3 | all_54_12 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (372)  all_56_12 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (367), (372) are inconsistent by sub-proof
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #953.
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (373)   ~ (all_56_12 = e2)
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (374)  all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (128) gives:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (375)  all_58_23 = e0
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13), (375) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (376)  all_52_7 = e0
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (235), (376) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (377)  $false
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (377) is inconsistent.
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (378)   ~ (all_58_23 = e0)
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (379)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (89) gives:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (380)  all_56_0 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (58), (380) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (381)  all_6_2 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (99), (381) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (382)  all_58_16 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (381) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (383)   ~ (all_52_8 = e1)
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (126) gives:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (384)  all_54_2 = e0
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (54), (283), (384) are inconsistent by sub-proof
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #763.
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (385)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (52) gives:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (386)  all_56_4 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (116), (386) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (387)  all_52_8 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (135), (387) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (388)  all_58_24 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (115), (387) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (389)   ~ (all_10_2 = e2)
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (389) implies:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (390)   ~ (all_10_2 = e2)
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (391)  all_56_13 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (100), (391) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (392)  all_52_7 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (392) implies:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (393)  all_52_7 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13), (393) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (394)  all_58_23 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (393) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (395)   ~ (all_52_6 = e2)
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (393) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (396)   ~ (all_4_2 = e2)
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (396) implies:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (397)   ~ (all_4_2 = e2)
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (379) gives:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (398)  all_58_22 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (138), (398) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (399)  all_52_6 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (163), (399) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (400)  all_56_7 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (399) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (401)   ~ (all_10_2 = e1)
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (401) implies:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (402)   ~ (all_10_2 = e1)
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (26), (399) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (403)   ~ (all_4_2 = e1)
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (403) implies:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (404)   ~ (all_4_2 = e1)
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (395), (399) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (405)   ~ (e2 = e1)
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (25) gives:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (406)  all_54_5 = e0
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (319), (406) are inconsistent by sub-proof
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #983.
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (407)   ~ (all_54_5 = e0)
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (408)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (49) gives:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (409)  all_56_6 = e3
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (300), (409) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (410)  e3 = e0
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (410) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (411)  $false
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (411) is inconsistent.
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (412)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (413)  all_54_10 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (122), (402), (413) are inconsistent by sub-proof
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #931.
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (414)  all_54_10 = e3 | all_54_10 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (415)  all_58_31 = e0
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (164), (415) are inconsistent by sub-proof
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #311.
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (416)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 |
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (414) gives:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (417)  all_54_10 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (122), (390), (417) are inconsistent by sub-proof
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #930.
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (418)  all_54_10 = e3
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (122), (418) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (419)  all_10_2 = e3
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (419) implies:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (420)  all_10_2 = e3
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (42), (420) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (421)  all_56_8 = e3
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (44), (420) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (422)  all_58_26 = e3
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (173) gives:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (423)  all_56_2 = e3
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (365), (423) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (424)  e3 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (77), (424) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (425)  $false
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (425) is inconsistent.
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (426)  all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (426) gives:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (427)  all_56_3 = e3
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (140), (427) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (428)  all_4_2 = e3
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (428) implies:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (429)  all_4_2 = e3
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (152), (429) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (430)  all_58_21 = e3
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (416) gives:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (431)  all_58_26 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (431) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (432)  e3 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (432) implies:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (433)  e3 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (433) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (434)  all_58_28 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (155), (330), (341), (434) are inconsistent
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (435)   ~ (all_58_26 = e1)
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (436)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_18 = e1 & all_58_20 = e3 & all_58_24 =
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_20 = e3 & all_58_28 = e0) | (all_58_17 =
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_17 = e3 & all_58_20 = e3 &
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_23 = e2 & all_58_29 = e2) | (all_58_17 =
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3) | (all_58_17 = e2 & all_58_19 = e3 &
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_20 = e2 & all_58_28 = e3) | (all_58_17 =
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_23 = e0 & all_58_29 = e0) | (all_58_17 =
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_19 = e0 & all_58_24 = e3 & all_58_28 =
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_24 = e3 & all_58_25 = e1) | (all_58_18 =
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_24 = e1 & all_58_28 = e3) | (all_58_18 =
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_18 =
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_28 = e3 & all_58_29 =
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 =
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 =
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_25 = e2 & all_58_29 =
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_22 = e2 & all_58_25 = e2 &
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e1 & all_58_30 = e1) | (all_58_22 =
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_22 = e1 & all_58_25 = e1 &
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_22 =
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_27 = e0 & all_58_29 = e2 & all_58_30 =
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_23 = e0 & all_58_27 = e1 &
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_29 = e0 & all_58_30 = e1) | (all_58_23 =
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0 & e1 = e0)
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (436) gives:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (437)  all_58_21 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (77), (430), (437) are inconsistent by sub-proof
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #746.
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (438)   ~ (all_58_21 = e2)
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (439)  all_58_16 = e3 | (all_58_17 = e3 & all_58_18 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_20 = e3 & all_58_24 = e1) | (all_58_17
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0) | (all_58_17 = e3 & all_58_20 =
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_18 = e1 & all_58_24
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 =
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e3 & all_58_29 = e0) |
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_19 = e0 & all_58_23
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_19 = e0 & all_58_28
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e3 = e0) | (all_58_22 = e2 & all_58_23 =
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_25 = e2 & all_58_29 = e0) |
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (439) gives:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (440)  all_58_16 = e3
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (382), (440) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (441)  e3 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (441) implies:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (442)  e3 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (442) imply:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (443)  all_58_28 = e1
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (155), (330), (341), (443) are inconsistent
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (444)   ~ (all_58_16 = e3)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (445)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (382), (444) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (446)   ~ (e3 = e1)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (445) gives:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (447)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (447) gives:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (448)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (448) gives:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (449)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (77), (99), (349), (355), (449) are inconsistent
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #342.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (450)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (450) gives:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (451)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (451) gives:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (452)  all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (452) implies:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (453)  all_58_17 = e3
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (77), (99), (349), (355), (453) are inconsistent
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #366.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (454)  all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e3
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (454) implies:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (455)  all_58_24 = e3
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (456)  all_58_18 = e3
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (302), (456) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (457)  e3 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (455) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (458)  e3 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (99), (155), (349), (353), (363), (456),
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (457), (458) are inconsistent by sub-proof #458.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (459)  (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (155), (313), (355), (382), (459) are
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #459.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (460)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (460) gives:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (461)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (461) gives:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (462)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (462) gives:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (463)  all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (463) implies:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (464)  all_58_23 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (464) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (465)  e2 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (155), (355), (363), (382), (465) are
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (466)  all_58_17 = e2 & all_58_20 = e2 & e3 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (466) implies:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (467)  all_58_20 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (467) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (468)  e2 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (155), (355), (363), (382), (468) are
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (469)  (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (469) gives:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (470)  all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (99), (155), (343), (349), (353), (363),
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (388), (470) are inconsistent by sub-proof #457.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (471)  all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 &
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (471) implies:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (472)  all_58_24 = e3
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (473)  all_58_18 = e3
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (99), (155), (302), (349), (353), (363),
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (388), (472), (473) are inconsistent by sub-proof
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #460.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (474)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (474) gives:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (475)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (475) gives:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (476)  all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (476) implies:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (477)  all_58_30 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (478)  all_58_24 = e3
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (479)  all_58_18 = e3
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (302), (479) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (480)  e3 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (478) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (481)  e3 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (362), (477) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (482)  e2 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (482) implies:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (483)  e2 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (480), (481) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (484)  e2 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (484) implies:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (485)  e2 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (485) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (486)  e1 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (363), (485) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (487)  all_58_17 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (99), (155), (349), (353), (479), (487) are
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #461.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (488)  all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (488) implies:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (489)  all_58_24 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (490)  all_58_18 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (155), (302), (355), (363), (382), (388),
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (489), (490) are inconsistent by sub-proof #546.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (491)  (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (491) gives:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (492)  all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 &
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (492) implies:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (493)  all_58_24 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (494)  all_58_18 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (155), (302), (355), (363), (382), (388),
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (493), (494) are inconsistent by sub-proof #546.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (495)  all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (495) implies:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (496)  all_58_30 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (497)  all_58_24 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (497) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (498)  e2 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (498) implies:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (499)  e2 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (362), (496) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (500)  e2 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (500) implies:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (501)  e2 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (501) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (502)  e1 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (155), (355), (363), (382), (499), (502) are
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #547.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (503)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (503) gives:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (504)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (504) gives:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (505)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (505) gives:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (506)  all_58_18 = e1 & all_58_24 = e1 & e3 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (506) implies:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (507)  all_58_24 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (508)  all_58_18 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (155), (302), (355), (363), (382), (388),
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (507), (508) are inconsistent by sub-proof #546.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (509)  (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (509) gives:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (510)  all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (510) implies:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (511)  all_58_23 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (511) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (512)  e2 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (155), (355), (363), (382), (512) are
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (513)  all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (513) implies:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (514)  all_58_30 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (362), (514) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (515)  e2 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (155), (355), (363), (382), (515) are
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (516)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (516) gives:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (517)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (517) gives:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (518)  all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (518) implies:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (519)  all_58_29 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (155), (330), (355), (363), (382), (519) are
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #455.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (520)  all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (520) implies:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (521)  all_58_30 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (522)  all_58_27 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (155), (282), (355), (362), (363), (382),
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (521), (522) are inconsistent by sub-proof #86.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (523)  (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (523) gives:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (524)  all_58_19 = e0 & all_58_28 = e0 & e3 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (524) implies:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (525)  all_58_28 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (525) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (526)  e3 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (526) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (527)  all_56_8 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (77), (106), (361), (400), (412), (527) are
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #288.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (528)  all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (528) implies:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (529)  all_58_23 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (529) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (530)  e2 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (155), (355), (363), (382), (530) are
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (531)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (531) gives:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (532)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (532) gives:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (533)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (533) gives:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (534)  all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (534) implies:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (535)  all_58_30 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (536)  all_58_27 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (155), (282), (355), (362), (363), (382),
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (535), (536) are inconsistent by sub-proof #86.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (537)  all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (537) implies:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (538)  all_58_29 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (155), (330), (355), (363), (382), (538) are
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #455.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (539)  (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (539) gives:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (540)  all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (540) implies:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (541)  all_58_30 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (362), (541) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (542)  e2 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (155), (355), (363), (382), (542) are
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (543)  all_58_22 = e1 & all_58_25 = e1 & e2 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (543) implies:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (544)  e2 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (544) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (545)  $false
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (545) is inconsistent.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (546)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (546) gives:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (547)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (547) gives:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (548)  all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (548) implies:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (549)  all_58_30 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (362), (549) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (550)  e2 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (155), (355), (363), (382), (550) are
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (551)  all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (551) implies:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (552)  all_58_23 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (552) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (553)  e2 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (155), (355), (363), (382), (553) are
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (554)  (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (554) gives:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (555)  all_58_23 = e0 & all_58_29 = e0 & e2 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (555) implies:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (556)  all_58_23 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (556) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (557)  e2 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (155), (355), (363), (382), (557) are
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (558)  all_58_27 = e0 & all_58_30 = e0 & e1 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (558) implies:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (559)  all_58_30 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (362), (559) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (560)  e2 = e0
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (155), (355), (363), (382), (560) are
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (561)   ~ (all_56_3 = e3)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (561) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (562)   ~ (all_4_2 = e3)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (26), (106), (138), (152), (165), (313), (379),
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (397), (408), (562) are inconsistent by sub-proof
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #85.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (563)  all_58_20 = e3 | all_58_21 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (106), (152), (313), (397), (563) are inconsistent
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #974.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (564)   ~ (all_56_13 = e2)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (564) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (565)   ~ (all_52_7 = e2)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (566)  all_54_13 = e1
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (81), (123), (566) are inconsistent by sub-proof
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #338.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (567)  all_54_13 = e3 | all_54_13 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (567) gives:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (568)  all_54_13 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (123), (565), (568) are inconsistent by sub-proof
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #771.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (569)  all_54_13 = e3
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (123), (569) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (570)  all_52_7 = e3
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (570) implies:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (571)  all_52_7 = e3
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (571) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (572)   ~ (all_52_3 = e3)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (573)  all_54_12 = e2
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (150), (367), (573) are inconsistent by sub-proof
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #811.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (574)  all_54_12 = e3
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (150), (572), (574) are inconsistent by sub-proof
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #810.
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (575)   ~ (all_56_4 = e2)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (116), (575) imply:
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (576)   ~ (all_52_8 = e2)
% 170.54/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (54), (345), (383), (385), (576) are inconsistent
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #690.
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (577)   ~ (all_56_0 = e1)
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (577) imply:
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (578)   ~ (all_6_2 = e1)
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (142), (197), (349), (369), (578) are inconsistent
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #848.
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | |   (579)  all_58_16 = e3
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (99), (579) imply:
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | |   (580)  all_6_2 = e3
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (580) imply:
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | |   (581)  $false
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (581) is inconsistent.
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | |   (582)  all_54_11 = e3
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (178), (347), (582) are inconsistent by sub-proof
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | |            #285.
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.99  | | | | | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | | | | End of split
% 170.54/25.99  | | | | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | | | End of split
% 170.54/25.99  | | | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | | End of split
% 170.54/25.99  | | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | End of split
% 170.54/25.99  | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | Case 2:
% 170.54/25.99  | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | |   (583)   ~ (all_56_1 = e0)
% 170.54/25.99  | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | REDUCE: (3), (583) imply:
% 170.54/25.99  | | | | | | | | | | | | | | |   (584)   ~ (all_52_4 = e0)
% 170.54/25.99  | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (21), (30), (70), (105), (114), (116),
% 170.54/25.99  | | | | | | | | | | | | | | |            (117), (140), (148), (153), (175), (283), (284),
% 170.54/25.99  | | | | | | | | | | | | | | |            (294), (303), (584) are inconsistent by sub-proof
% 170.54/25.99  | | | | | | | | | | | | | | |            #92.
% 170.54/25.99  | | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | | End of split
% 170.54/25.99  | | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | End of split
% 170.54/25.99  | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | Case 2:
% 170.54/25.99  | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | |   (585)   ~ (all_56_6 = e0)
% 170.54/25.99  | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | REDUCE: (133), (585) imply:
% 170.54/25.99  | | | | | | | | | | | | |   (586)   ~ (all_52_2 = e0)
% 170.54/25.99  | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | | REF_CLOSE: (1), (3), (4), (6), (9), (12), (13), (14), (15),
% 170.54/25.99  | | | | | | | | | | | | |            (17), (24), (26), (29), (37), (41), (43), (44),
% 170.54/25.99  | | | | | | | | | | | | |            (46), (48), (51), (55), (57), (58), (61), (66),
% 170.54/25.99  | | | | | | | | | | | | |            (68), (69), (70), (71), (76), (79), (81), (82),
% 170.54/25.99  | | | | | | | | | | | | |            (84), (88), (89), (90), (93), (96), (97), (98),
% 170.54/25.99  | | | | | | | | | | | | |            (99), (100), (103), (105), (106), (107), (108),
% 170.54/25.99  | | | | | | | | | | | | |            (112), (114), (119), (121), (123), (128), (133),
% 170.54/25.99  | | | | | | | | | | | | |            (138), (140), (142), (144), (148), (151), (152),
% 170.54/25.99  | | | | | | | | | | | | |            (153), (155), (156), (158), (160), (161), (163),
% 170.54/25.99  | | | | | | | | | | | | |            (167), (169), (171), (175), (234), (235), (271),
% 170.54/25.99  | | | | | | | | | | | | |            (275), (282), (290), (586) are inconsistent by
% 170.54/25.99  | | | | | | | | | | | | |            sub-proof #87.
% 170.54/25.99  | | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | | End of split
% 170.54/25.99  | | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | | End of split
% 170.54/25.99  | | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | | End of split
% 170.54/25.99  | | | | | | | | | | 
% 170.54/25.99  | | | | | | | | | End of split
% 170.54/25.99  | | | | | | | | | 
% 170.54/25.99  | | | | | | | | End of split
% 170.54/25.99  | | | | | | | | 
% 170.54/25.99  | | | | | | | End of split
% 170.54/25.99  | | | | | | | 
% 170.54/25.99  | | | | | | End of split
% 170.54/25.99  | | | | | | 
% 170.54/25.99  | | | | | End of split
% 170.54/25.99  | | | | | 
% 170.54/25.99  | | | | End of split
% 170.54/25.99  | | | | 
% 170.54/25.99  | | | End of split
% 170.54/25.99  | | | 
% 170.54/25.99  | | End of split
% 170.54/25.99  | | 
% 170.54/25.99  | End of split
% 170.54/25.99  | 
% 170.54/25.99  End of proof
% 170.54/25.99  
% 170.54/25.99  Sub-proof #85 shows that the following formulas are inconsistent:
% 170.54/25.99  ----------------------------------------------------------------
% 170.54/25.99    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 170.54/25.99    (2)   ~ (all_52_6 = all_4_2)
% 170.54/25.99    (3)  all_58_20 = e0
% 170.54/25.99    (4)   ~ (e3 = e0)
% 170.54/25.99    (5)   ~ (all_4_2 = e3)
% 170.54/25.99    (6)  all_58_22 = all_52_6
% 170.54/25.99    (7)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 170.54/25.99    (8)  all_58_21 = all_4_2
% 170.54/25.99    (9)  all_54_5 = all_4_2
% 170.54/25.99    (10)   ~ (all_4_2 = e2)
% 170.54/25.99  
% 170.54/25.99  Begin of proof
% 170.54/25.99  | 
% 170.54/25.99  | BETA: splitting (1) gives:
% 170.54/25.99  | 
% 170.54/25.99  | Case 1:
% 170.54/25.99  | | 
% 170.54/25.99  | |   (11)  all_58_22 = e1
% 170.54/25.99  | | 
% 170.54/25.99  | | COMBINE_EQS: (6), (11) imply:
% 170.54/25.99  | |   (12)  all_52_6 = e1
% 170.54/25.99  | | 
% 170.54/25.99  | | REDUCE: (2), (12) imply:
% 170.54/25.99  | |   (13)   ~ (all_4_2 = e1)
% 170.54/25.99  | | 
% 170.54/25.99  | | SIMP: (13) implies:
% 170.54/25.99  | |   (14)   ~ (all_4_2 = e1)
% 170.54/25.99  | | 
% 170.54/25.99  | | REF_CLOSE: (5), (7), (9), (10), (14) are inconsistent by sub-proof #958.
% 170.54/25.99  | | 
% 170.54/25.99  | Case 2:
% 170.54/25.99  | | 
% 170.54/25.99  | |   (15)  all_58_20 = e3 | all_58_21 = e2
% 170.54/25.99  | | 
% 170.54/25.99  | | REF_CLOSE: (3), (4), (8), (10), (15) are inconsistent by sub-proof #974.
% 170.54/25.99  | | 
% 170.54/25.99  | End of split
% 170.54/25.99  | 
% 170.54/25.99  End of proof
% 170.54/25.99  
% 170.54/25.99  Sub-proof #86 shows that the following formulas are inconsistent:
% 170.54/25.99  ----------------------------------------------------------------
% 170.54/25.99    (1)   ~ (e3 = e1)
% 170.54/25.99    (2)  all_58_16 = e1
% 170.54/25.99    (3)  all_58_27 = e1
% 170.54/25.99    (4)  all_58_30 = e1
% 170.54/25.99    (5)  all_58_17 = e2
% 170.54/25.99    (6)  all_58_27 = e0
% 170.54/25.99    (7)  all_58_16 = e3 | all_58_17 = e2
% 170.54/25.99    (8)   ~ (e2 = e0)
% 170.54/25.99    (9)  all_58_30 = e2
% 170.54/25.99  
% 170.54/25.99  Begin of proof
% 170.54/25.99  | 
% 170.54/25.99  | COMBINE_EQS: (3), (6) imply:
% 170.54/25.99  |   (10)  e1 = e0
% 170.54/25.99  | 
% 170.54/25.99  | COMBINE_EQS: (4), (9) imply:
% 170.54/25.99  |   (11)  e2 = e1
% 170.54/25.99  | 
% 170.54/25.99  | SIMP: (11) implies:
% 170.54/25.99  |   (12)  e2 = e1
% 170.54/25.99  | 
% 170.54/25.99  | REF_CLOSE: (1), (2), (5), (7), (8), (10), (12) are inconsistent by sub-proof
% 170.54/25.99  |            #547.
% 170.54/25.99  | 
% 170.54/25.99  End of proof
% 170.54/25.99  
% 170.54/25.99  Sub-proof #87 shows that the following formulas are inconsistent:
% 170.54/25.99  ----------------------------------------------------------------
% 170.54/25.99    (1)   ~ (all_52_12 = all_14_2)
% 170.54/25.99    (2)  all_56_1 = all_52_4
% 170.54/25.99    (3)  op(all_4_2, e2) = e0
% 170.54/25.99    (4)  all_56_12 = all_52_3
% 170.54/25.99    (5)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 170.54/25.99    (6)   ~ (e3 = e1)
% 170.54/25.99    (7)  all_58_23 = all_52_7
% 170.54/25.99    (8)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 170.54/25.99    (9)   ~ (all_52_2 = all_6_2)
% 170.54/25.99    (10)   ~ (all_52_3 = all_14_2)
% 170.54/25.99    (11)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.54/25.99    (12)   ~ (all_52_12 = all_6_2)
% 170.54/25.99    (13)   ~ (all_52_6 = all_4_2)
% 170.54/25.99    (14)  all_56_15 = all_14_2
% 170.54/25.99    (15)   ~ (all_52_3 = all_52_7)
% 170.54/25.99    (16)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.54/25.99    (17)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.54/25.99    (18)  all_58_26 = all_10_2
% 170.54/25.99    (19)  all_58_31 = all_14_2
% 170.54/25.99    (20)   ~ (all_52_3 = all_6_2)
% 170.54/25.99    (21)   ~ (all_52_1 = all_6_2)
% 170.54/25.99    (22)  all_56_11 = all_52_14
% 170.54/25.99    (23)   ~ (all_52_6 = all_52_7)
% 170.54/25.99    (24)  all_56_0 = all_6_2
% 170.54/25.99    (25)  all_58_30 = all_52_14
% 170.54/25.99    (26)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 170.54/25.99    (27)  all_58_17 = all_52_1
% 170.54/25.99    (28)  op(e2, all_4_2) = all_58_5
% 170.54/25.99    (29)  all_58_19 = all_52_3
% 170.54/25.99    (30)  all_56_9 = all_52_12
% 170.54/25.99    (31)   ~ (all_52_2 = all_52_6)
% 170.54/25.99    (32)  op(e2, e2) = all_4_2
% 170.54/25.99    (33)   ~ (e2 = e1)
% 170.54/25.99    (34)   ~ (all_52_7 = e1)
% 170.54/25.99    (35)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 170.54/25.99    (36)   ~ (all_52_2 = e0)
% 170.54/25.99    (37)   ~ (all_52_7 = all_14_2)
% 170.54/25.99    (38)   ~ (all_52_1 = all_4_2)
% 170.54/25.99    (39)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.54/25.99    (40)   ~ (all_52_3 = e1)
% 170.54/25.99    (41)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.54/25.99    (42)  all_58_18 = all_52_2
% 170.54/25.99    (43)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.54/25.99    (44)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 170.54/25.99    (45)  all_58_16 = all_6_2
% 170.54/25.99    (46)  all_56_13 = all_52_7
% 170.54/25.99    (47)   ~ (all_52_4 = all_6_2)
% 170.54/25.99    (48)  all_56_2 = all_52_1
% 170.54/25.99    (49)   ~ (e3 = e0)
% 170.54/25.99    (50)  all_58_29 = all_52_13
% 170.54/25.99    (51)   ~ (all_52_1 = all_52_2)
% 170.54/25.99    (52)   ~ (all_52_6 = all_52_14)
% 170.54/25.99    (53)   ~ (all_52_7 = all_4_2)
% 170.54/25.99    (54)   ~ (all_52_1 = all_52_13)
% 170.54/25.99    (55)  all_58_20 = all_52_4
% 170.54/25.99    (56)  all_54_13 = all_52_7
% 170.54/25.99    (57)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.54/25.99    (58)  all_56_6 = all_52_2
% 170.54/25.99    (59)   ~ (all_52_7 = e0)
% 170.54/25.99    (60)  all_58_22 = all_52_6
% 170.54/25.99    (61)  all_58_27 = e0
% 170.54/25.99    (62)  all_56_3 = all_4_2
% 170.54/25.99    (63)  all_54_0 = all_6_2
% 170.54/25.99    (64)   ~ (all_52_2 = all_52_3)
% 170.54/25.99    (65)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.54/25.99            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.54/25.99    (66)   ~ (all_52_2 = all_52_14)
% 170.54/25.99    (67)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 170.54/25.99    (68)  all_58_21 = all_4_2
% 170.54/25.99    (69)  all_56_10 = all_52_13
% 170.54/25.99    (70)   ~ (all_52_3 = e0)
% 170.54/25.99    (71)   ~ (e2 = e0)
% 170.54/25.99    (72)   ~ (all_52_1 = all_52_3)
% 170.54/25.99    (73)  all_58_28 = all_52_12
% 170.54/25.99    (74)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 170.54/25.99    (75)   ~ (e1 = e0)
% 170.54/25.99    (76)  all_56_7 = all_52_6
% 170.70/25.99    (77)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.70/25.99          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.70/25.99          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.70/25.99          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.70/25.99          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.70/25.99          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.70/25.99          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.70/25.99          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.70/25.99          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.70/25.99          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.70/25.99            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.70/25.99            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.70/25.99            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.70/25.99            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.70/25.99            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.70/25.99            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.70/25.99            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.70/25.99            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.70/25.99            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.70/25.99            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.70/25.99            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.70/25.99            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.70/25.99            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.70/25.99            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.70/25.99            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.70/25.99            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.70/25.99          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.70/25.99          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.70/25.99          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.70/25.99            all_58_30 = e0 & e1 = e0)
% 170.70/25.99    (78)   ~ (all_52_2 = all_10_2)
% 170.70/25.99    (79)  all_56_0 = e3 | all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3
% 170.70/25.99    (80)   ~ (all_52_12 = all_52_13)
% 170.70/25.99  
% 170.70/25.99  Begin of proof
% 170.70/25.99  | 
% 170.70/25.99  | BETA: splitting (8) gives:
% 170.70/25.99  | 
% 170.70/25.99  | Case 1:
% 170.70/25.99  | | 
% 170.70/25.99  | |   (81)  all_56_2 = e0
% 170.70/25.99  | | 
% 170.70/25.99  | | COMBINE_EQS: (48), (81) imply:
% 170.70/25.99  | |   (82)  all_52_1 = e0
% 170.70/25.99  | | 
% 170.70/25.99  | | COMBINE_EQS: (27), (82) imply:
% 170.70/25.99  | |   (83)  all_58_17 = e0
% 170.70/25.99  | | 
% 170.70/25.99  | | REDUCE: (51), (82) imply:
% 170.70/25.99  | |   (84)   ~ (all_52_2 = e0)
% 170.70/25.99  | | 
% 170.70/25.99  | | REDUCE: (72), (82) imply:
% 170.70/25.99  | |   (85)   ~ (all_52_3 = e0)
% 170.70/25.99  | | 
% 170.70/25.99  | | REDUCE: (54), (82) imply:
% 170.70/25.99  | |   (86)   ~ (all_52_13 = e0)
% 170.70/25.99  | | 
% 170.70/25.99  | | SIMP: (86) implies:
% 170.70/25.99  | |   (87)   ~ (all_52_13 = e0)
% 170.70/25.99  | | 
% 170.70/25.99  | | REDUCE: (38), (82) imply:
% 170.70/25.99  | |   (88)   ~ (all_4_2 = e0)
% 170.70/25.99  | | 
% 170.70/25.99  | | SIMP: (88) implies:
% 170.70/25.99  | |   (89)   ~ (all_4_2 = e0)
% 170.70/25.99  | | 
% 170.70/25.99  | | BETA: splitting (44) gives:
% 170.70/25.99  | | 
% 170.70/25.99  | | Case 1:
% 170.70/25.99  | | | 
% 170.70/25.99  | | |   (90)  all_56_1 = e0
% 170.70/25.99  | | | 
% 170.70/25.99  | | | COMBINE_EQS: (2), (90) imply:
% 170.70/25.99  | | |   (91)  all_52_4 = e0
% 170.70/25.99  | | | 
% 170.70/25.99  | | | COMBINE_EQS: (55), (91) imply:
% 170.70/25.99  | | |   (92)  all_58_20 = e0
% 170.70/25.99  | | | 
% 170.70/25.99  | | | REF_CLOSE: (4), (6), (7), (9), (11), (24), (29), (31), (33), (34), (36),
% 170.70/25.99  | | |            (39), (40), (42), (45), (46), (49), (57), (58), (59), (60),
% 170.70/25.99  | | |            (62), (64), (68), (70), (71), (74), (75), (76), (81), (83),
% 170.70/25.99  | | |            (90), (92) are inconsistent by sub-proof #88.
% 170.70/25.99  | | | 
% 170.70/25.99  | | Case 2:
% 170.70/25.99  | | | 
% 170.70/25.99  | | |   (93)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 170.70/25.99  | | | 
% 170.70/25.99  | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13),
% 170.70/25.99  | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 170.70/25.99  | | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (35),
% 170.70/25.99  | | |            (37), (39), (41), (42), (43), (45), (46), (47), (49), (50),
% 170.70/25.99  | | |            (52), (53), (55), (56), (57), (58), (59), (60), (61), (62),
% 170.70/25.99  | | |            (63), (64), (65), (66), (67), (68), (69), (70), (71), (73),
% 170.70/25.99  | | |            (75), (76), (77), (78), (79), (80), (81), (83), (87), (89),
% 170.70/25.99  | | |            (93) are inconsistent by sub-proof #89.
% 170.70/25.99  | | | 
% 170.70/25.99  | | End of split
% 170.70/25.99  | | 
% 170.70/25.99  | Case 2:
% 170.70/25.99  | | 
% 170.70/25.99  | |   (94)  all_56_6 = e0 | all_56_12 = e0
% 170.70/25.99  | | 
% 170.70/25.99  | | REF_CLOSE: (4), (36), (58), (70), (94) are inconsistent by sub-proof #918.
% 170.70/25.99  | | 
% 170.70/25.99  | End of split
% 170.70/25.99  | 
% 170.70/25.99  End of proof
% 170.70/25.99  
% 170.70/25.99  Sub-proof #88 shows that the following formulas are inconsistent:
% 170.70/25.99  ----------------------------------------------------------------
% 170.70/25.99    (1)  all_56_12 = all_52_3
% 170.70/25.99    (2)   ~ (e3 = e1)
% 170.70/25.99    (3)  all_58_23 = all_52_7
% 170.70/25.99    (4)   ~ (all_52_2 = all_6_2)
% 170.70/25.99    (5)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.70/25.99    (6)  all_56_0 = all_6_2
% 170.70/25.99    (7)  all_58_20 = e0
% 170.70/25.99    (8)  all_58_19 = all_52_3
% 170.70/25.99    (9)   ~ (all_52_2 = all_52_6)
% 170.70/25.99    (10)  all_56_2 = e0
% 170.70/25.99    (11)   ~ (e2 = e1)
% 170.70/25.99    (12)   ~ (all_52_7 = e1)
% 170.70/25.99    (13)   ~ (all_52_2 = e0)
% 170.70/25.99    (14)  all_56_1 = e0
% 170.70/25.99    (15)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.70/25.99    (16)   ~ (all_52_3 = e1)
% 170.70/25.99    (17)  all_58_18 = all_52_2
% 170.70/25.99    (18)  all_58_16 = all_6_2
% 170.70/25.99    (19)  all_56_13 = all_52_7
% 170.70/25.99    (20)   ~ (e3 = e0)
% 170.70/25.99    (21)  all_58_17 = e0
% 170.70/25.99    (22)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.70/25.99    (23)  all_56_6 = all_52_2
% 170.70/25.99    (24)   ~ (all_52_7 = e0)
% 170.70/25.99    (25)  all_58_22 = all_52_6
% 170.70/25.99    (26)  all_56_3 = all_4_2
% 170.70/25.99    (27)   ~ (all_52_2 = all_52_3)
% 170.70/25.99    (28)  all_58_21 = all_4_2
% 170.70/25.99    (29)   ~ (all_52_3 = e0)
% 170.70/25.99    (30)   ~ (e2 = e0)
% 170.70/25.99    (31)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 170.70/25.99    (32)   ~ (e1 = e0)
% 170.70/25.99    (33)  all_56_7 = all_52_6
% 170.70/25.99  
% 170.70/25.99  Begin of proof
% 170.70/25.99  | 
% 170.70/25.99  | BETA: splitting (15) gives:
% 170.70/25.99  | 
% 170.70/25.99  | Case 1:
% 170.70/25.99  | | 
% 170.70/25.99  | |   (34)  all_56_0 = e1
% 170.70/25.99  | | 
% 170.70/25.99  | | COMBINE_EQS: (6), (34) imply:
% 170.70/25.99  | |   (35)  all_6_2 = e1
% 170.70/25.99  | | 
% 170.70/25.99  | | REF_CLOSE: (2), (4), (5), (8), (17), (18), (21), (29), (30), (35) are
% 170.70/25.99  | |            inconsistent by sub-proof #936.
% 170.70/25.99  | | 
% 170.70/25.99  | Case 2:
% 170.70/25.99  | | 
% 170.70/25.99  | |   (36)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.70/25.99  | | 
% 170.70/25.99  | | REF_CLOSE: (1), (3), (7), (9), (10), (11), (12), (13), (14), (16), (19),
% 170.70/25.99  | |            (20), (22), (23), (24), (25), (26), (27), (28), (31), (32), (33),
% 170.70/25.99  | |            (36) are inconsistent by sub-proof #111.
% 170.70/25.99  | | 
% 170.70/25.99  | End of split
% 170.70/25.99  | 
% 170.70/25.99  End of proof
% 170.70/25.99  
% 170.70/25.99  Sub-proof #89 shows that the following formulas are inconsistent:
% 170.70/25.99  ----------------------------------------------------------------
% 170.70/25.99    (1)   ~ (all_52_12 = all_14_2)
% 170.70/25.99    (2)  op(all_4_2, e2) = e0
% 170.70/25.99    (3)  all_56_12 = all_52_3
% 170.70/25.99    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 170.70/25.99    (5)   ~ (e3 = e1)
% 170.70/25.99    (6)  all_58_23 = all_52_7
% 170.70/25.99    (7)   ~ (all_52_2 = all_6_2)
% 170.70/25.99    (8)   ~ (all_52_3 = all_14_2)
% 170.70/25.99    (9)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.70/25.99    (10)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 170.70/25.99    (11)   ~ (all_52_12 = all_6_2)
% 170.70/25.99    (12)   ~ (all_52_6 = all_4_2)
% 170.70/25.99    (13)  all_56_15 = all_14_2
% 170.70/25.99    (14)   ~ (all_52_3 = all_52_7)
% 170.70/25.99    (15)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.70/25.99    (16)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.70/25.99    (17)  all_58_26 = all_10_2
% 170.70/25.99    (18)  all_58_31 = all_14_2
% 170.70/25.99    (19)   ~ (all_52_3 = all_6_2)
% 170.70/25.99    (20)   ~ (all_52_1 = all_6_2)
% 170.70/25.99    (21)  all_56_11 = all_52_14
% 170.70/25.99    (22)   ~ (all_52_6 = all_52_7)
% 170.70/25.99    (23)  all_56_0 = all_6_2
% 170.70/25.99    (24)  all_58_30 = all_52_14
% 170.70/25.99    (25)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 170.70/25.99    (26)  all_58_17 = all_52_1
% 170.70/25.99    (27)  op(e2, all_4_2) = all_58_5
% 170.70/25.99    (28)  all_58_19 = all_52_3
% 170.70/25.99    (29)  all_56_9 = all_52_12
% 170.70/25.99    (30)   ~ (all_52_2 = all_52_6)
% 170.70/25.99    (31)  all_56_2 = e0
% 170.70/25.99    (32)  op(e2, e2) = all_4_2
% 170.70/25.99    (33)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 170.70/25.99    (34)   ~ (all_52_7 = all_14_2)
% 170.70/25.99    (35)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.70/25.99    (36)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.70/25.99    (37)  all_58_18 = all_52_2
% 170.70/25.99    (38)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.70/25.99    (39)  all_58_16 = all_6_2
% 170.70/25.99    (40)  all_56_13 = all_52_7
% 170.70/25.99    (41)   ~ (all_52_4 = all_6_2)
% 170.70/25.99    (42)   ~ (e3 = e0)
% 170.70/25.99    (43)  all_58_29 = all_52_13
% 170.70/25.99    (44)   ~ (all_52_13 = e0)
% 170.70/25.99    (45)   ~ (all_4_2 = e0)
% 170.70/25.99    (46)   ~ (all_52_6 = all_52_14)
% 170.70/25.99    (47)   ~ (all_52_7 = all_4_2)
% 170.70/25.99    (48)  all_58_20 = all_52_4
% 170.70/25.99    (49)  all_54_13 = all_52_7
% 170.70/25.99    (50)  all_58_17 = e0
% 170.70/25.99    (51)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.70/25.99    (52)  all_56_6 = all_52_2
% 170.70/25.99    (53)   ~ (all_52_7 = e0)
% 170.70/25.99    (54)  all_58_22 = all_52_6
% 170.70/25.99    (55)  all_58_27 = e0
% 170.70/25.99    (56)  all_56_3 = all_4_2
% 170.70/25.99    (57)  all_54_0 = all_6_2
% 170.70/25.99    (58)   ~ (all_52_2 = all_52_3)
% 170.70/25.99    (59)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.70/25.99            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.70/25.99    (60)   ~ (all_52_2 = all_52_14)
% 170.70/25.99    (61)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 170.70/25.99    (62)  all_58_21 = all_4_2
% 170.70/25.99    (63)  all_56_10 = all_52_13
% 170.70/25.99    (64)   ~ (all_52_3 = e0)
% 170.70/25.99    (65)   ~ (e2 = e0)
% 170.70/25.99    (66)  all_58_28 = all_52_12
% 170.70/25.99    (67)   ~ (e1 = e0)
% 170.70/25.99    (68)  all_56_7 = all_52_6
% 170.70/25.99    (69)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.70/25.99          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.70/25.99          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.70/25.99          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.70/25.99          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.70/25.99          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.70/25.99          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.70/25.99          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.70/25.99          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.70/25.99          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.70/25.99            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.70/25.99            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.70/25.99            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.70/25.99            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.70/25.99            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.70/25.99            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.70/25.99            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.70/25.99            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.70/25.99            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.70/25.99            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.70/25.99            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.70/25.99            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.70/25.99            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.70/25.99            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.70/25.99            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.70/25.99            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.70/25.99          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.70/25.99          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.70/25.99          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.70/25.99            all_58_30 = e0 & e1 = e0)
% 170.70/25.99    (70)   ~ (all_52_2 = all_10_2)
% 170.70/25.99    (71)  all_56_0 = e3 | all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3
% 170.70/25.99    (72)   ~ (all_52_12 = all_52_13)
% 170.70/25.99  
% 170.70/25.99  Begin of proof
% 170.70/25.99  | 
% 170.70/25.99  | BETA: splitting (10) gives:
% 170.70/25.99  | 
% 170.70/25.99  | Case 1:
% 170.70/25.99  | | 
% 170.70/25.99  | |   (73)  all_56_3 = e0
% 170.70/25.99  | | 
% 170.70/25.99  | | COMBINE_EQS: (56), (73) imply:
% 170.70/25.99  | |   (74)  all_4_2 = e0
% 170.70/25.99  | | 
% 170.70/25.99  | | REDUCE: (45), (74) imply:
% 170.70/25.99  | |   (75)  $false
% 170.70/25.99  | | 
% 170.70/25.99  | | CLOSE: (75) is inconsistent.
% 170.70/25.99  | | 
% 170.70/25.99  | Case 2:
% 170.70/25.99  | | 
% 170.70/25.99  | |   (76)  all_56_7 = e0 | all_56_13 = e0
% 170.70/25.99  | | 
% 170.70/25.99  | | BETA: splitting (76) gives:
% 170.70/25.99  | | 
% 170.70/25.99  | | Case 1:
% 170.70/25.99  | | | 
% 170.70/25.99  | | |   (77)  all_56_7 = e0
% 170.70/25.99  | | | 
% 170.70/25.99  | | | COMBINE_EQS: (68), (77) imply:
% 170.70/25.99  | | |   (78)  all_52_6 = e0
% 170.70/25.99  | | | 
% 170.70/25.99  | | | COMBINE_EQS: (54), (78) imply:
% 170.70/25.99  | | |   (79)  all_58_22 = e0
% 170.70/25.99  | | | 
% 170.70/25.99  | | | REDUCE: (30), (78) imply:
% 170.70/25.99  | | |   (80)   ~ (all_52_2 = e0)
% 170.70/25.99  | | | 
% 170.70/25.99  | | | REDUCE: (22), (78) imply:
% 170.70/25.99  | | |   (81)   ~ (all_52_7 = e0)
% 170.70/25.99  | | | 
% 170.70/25.99  | | | REDUCE: (46), (78) imply:
% 170.70/25.99  | | |   (82)   ~ (all_52_14 = e0)
% 170.70/25.99  | | | 
% 170.70/25.99  | | | SIMP: (82) implies:
% 170.70/25.99  | | |   (83)   ~ (all_52_14 = e0)
% 170.70/25.99  | | | 
% 170.70/25.99  | | | REDUCE: (12), (78) imply:
% 170.70/25.99  | | |   (84)   ~ (all_4_2 = e0)
% 170.70/25.99  | | | 
% 170.70/25.99  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (13), (14),
% 170.70/25.99  | | |            (15), (16), (17), (18), (19), (20), (21), (23), (24), (25),
% 170.70/25.99  | | |            (26), (27), (28), (29), (31), (32), (33), (34), (35), (36),
% 170.70/25.99  | | |            (37), (38), (39), (41), (42), (43), (44), (45), (47), (48),
% 170.70/25.99  | | |            (49), (50), (51), (52), (53), (55), (57), (58), (59), (60),
% 170.70/25.99  | | |            (61), (62), (63), (64), (65), (66), (67), (69), (70), (71),
% 170.70/25.99  | | |            (72), (79), (80), (83) are inconsistent by sub-proof #103.
% 170.70/25.99  | | | 
% 170.70/25.99  | | Case 2:
% 170.70/25.99  | | | 
% 170.70/25.99  | | |   (85)  all_56_13 = e0
% 170.70/25.99  | | | 
% 170.70/26.00  | | | REF_CLOSE: (40), (53), (85) are inconsistent by sub-proof #942.
% 170.70/26.00  | | | 
% 170.70/26.00  | | End of split
% 170.70/26.00  | | 
% 170.70/26.00  | End of split
% 170.70/26.00  | 
% 170.70/26.00  End of proof
% 170.70/26.00  
% 170.70/26.00  Sub-proof #90 shows that the following formulas are inconsistent:
% 170.70/26.00  ----------------------------------------------------------------
% 170.70/26.00    (1)  all_56_1 = all_52_4
% 170.70/26.00    (2)  op(all_4_2, e2) = e0
% 170.70/26.00    (3)  all_56_12 = all_52_3
% 170.70/26.00    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 170.70/26.00    (5)   ~ (e3 = e1)
% 170.70/26.00    (6)  all_58_23 = all_52_7
% 170.70/26.00    (7)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 170.70/26.00    (8)   ~ (all_52_4 = all_4_2)
% 170.70/26.00    (9)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.70/26.00    (10)  all_56_5 = all_52_9
% 170.70/26.00    (11)   ~ (all_52_12 = all_6_2)
% 170.70/26.00    (12)   ~ (all_52_6 = all_4_2)
% 170.70/26.00    (13)  all_56_15 = all_14_2
% 170.70/26.00    (14)  op(e0, e2) = all_52_7
% 170.70/26.00    (15)   ~ (all_14_2 = e0)
% 170.70/26.00    (16)   ~ (all_52_9 = all_4_2)
% 170.70/26.00    (17)   ~ (all_52_3 = all_52_7)
% 170.70/26.00    (18)  all_54_6 = all_52_9
% 170.70/26.00    (19)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 170.70/26.00    (20)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.70/26.00    (21)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.70/26.00    (22)   ~ (all_52_9 = e0)
% 170.70/26.00    (23)  all_58_26 = all_10_2
% 170.70/26.00    (24)   ~ (all_52_4 = all_52_6)
% 170.70/26.00    (25)  all_58_31 = all_14_2
% 170.70/26.00    (26)   ~ (all_52_3 = all_6_2)
% 170.70/26.00    (27)   ~ (all_52_1 = all_6_2)
% 170.70/26.00    (28)  all_56_11 = all_52_14
% 170.70/26.00    (29)   ~ (all_52_6 = all_52_7)
% 170.70/26.00    (30)  all_56_0 = all_6_2
% 170.70/26.00    (31)  all_58_30 = all_52_14
% 170.70/26.00    (32)  all_58_17 = all_52_1
% 170.70/26.00    (33)  op(e2, all_4_2) = all_58_5
% 170.70/26.00    (34)  all_58_19 = all_52_3
% 170.70/26.00    (35)  all_56_9 = all_52_12
% 170.70/26.00    (36)  op(e2, e2) = all_4_2
% 170.70/26.00    (37)   ~ (e3 = e2)
% 170.70/26.00    (38)   ~ (all_52_4 = all_52_7)
% 170.70/26.00    (39)   ~ (all_52_6 = all_10_2)
% 170.70/26.00    (40)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 170.70/26.00    (41)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 170.70/26.00    (42)   ~ (all_52_1 = all_4_2)
% 170.70/26.00    (43)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.70/26.00    (44)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.70/26.00    (45)   ~ (all_52_13 = all_52_14)
% 170.70/26.00    (46)  all_58_18 = all_52_2
% 170.70/26.00    (47)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.70/26.00    (48)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 170.70/26.00    (49)  all_58_16 = all_6_2
% 170.70/26.00    (50)  all_56_13 = all_52_7
% 170.70/26.00    (51)   ~ (all_52_4 = all_6_2)
% 170.70/26.00    (52)  all_56_2 = all_52_1
% 170.70/26.00    (53)   ~ (e3 = e0)
% 170.70/26.00    (54)  all_58_29 = all_52_13
% 170.70/26.00    (55)   ~ (all_52_1 = all_52_2)
% 170.70/26.00    (56)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 170.70/26.00    (57)   ~ (all_52_6 = all_52_14)
% 170.70/26.00    (58)   ~ (all_52_7 = all_4_2)
% 170.70/26.00    (59)  all_56_4 = all_52_8
% 170.70/26.00    (60)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.70/26.00    (61)  all_58_20 = all_52_4
% 170.70/26.00    (62)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.70/26.00    (63)  all_56_6 = all_52_2
% 170.70/26.00    (64)   ~ (all_52_1 = all_52_9)
% 170.70/26.00    (65)   ~ (all_52_12 = all_52_14)
% 170.70/26.00    (66)  all_58_22 = all_52_6
% 170.70/26.00    (67)  all_58_27 = e0
% 170.70/26.00    (68)   ~ (all_52_4 = all_52_12)
% 170.70/26.00    (69)  all_56_3 = all_4_2
% 170.70/26.00    (70)  all_54_0 = all_6_2
% 170.70/26.00    (71)   ~ (all_52_1 = e0)
% 170.70/26.00    (72)   ~ (all_52_2 = all_52_3)
% 170.70/26.00    (73)   ~ (all_52_4 = all_52_8)
% 170.70/26.00    (74)   ~ (all_52_14 = all_14_2)
% 170.70/26.00    (75)  all_58_25 = all_52_9
% 170.70/26.00    (76)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.70/26.00            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.70/26.00    (77)   ~ (all_52_2 = all_52_14)
% 170.70/26.00    (78)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 170.70/26.00    (79)  all_58_21 = all_4_2
% 170.70/26.00    (80)  all_56_10 = all_52_13
% 170.70/26.00    (81)   ~ (all_52_3 = e0)
% 170.70/26.00    (82)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 170.70/26.00    (83)   ~ (e2 = e0)
% 170.70/26.00    (84)  all_58_28 = all_52_12
% 170.70/26.00    (85)   ~ (e1 = e0)
% 170.70/26.00    (86)  all_56_7 = all_52_6
% 170.70/26.00    (87)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 170.70/26.00    (88)   ~ (all_52_8 = e0)
% 170.70/26.00    (89)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.70/26.00          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.70/26.00          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.70/26.00          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.70/26.00          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.70/26.00          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.70/26.00          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.70/26.00          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.70/26.00          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.70/26.00          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.70/26.00            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.70/26.00            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.70/26.00            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.70/26.00            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.70/26.00            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.70/26.00            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.70/26.00            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.70/26.00            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.70/26.00            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.70/26.00            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.70/26.00            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.70/26.00            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.70/26.00            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.70/26.00            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.70/26.00            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.70/26.00            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.70/26.00          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.70/26.00          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.70/26.00          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.70/26.00            all_58_30 = e0 & e1 = e0)
% 170.70/26.00    (90)   ~ (all_52_12 = all_52_13)
% 170.70/26.00  
% 170.70/26.00  Begin of proof
% 170.70/26.00  | 
% 170.70/26.00  | BETA: splitting (7) gives:
% 170.70/26.00  | 
% 170.70/26.00  | Case 1:
% 170.70/26.00  | | 
% 170.70/26.00  | |   (91)  all_56_2 = e0
% 170.70/26.00  | | 
% 170.70/26.00  | | COMBINE_EQS: (52), (91) imply:
% 170.70/26.00  | |   (92)  all_52_1 = e0
% 170.70/26.00  | | 
% 170.70/26.00  | | REDUCE: (71), (92) imply:
% 170.70/26.00  | |   (93)  $false
% 170.70/26.00  | | 
% 170.70/26.00  | | CLOSE: (93) is inconsistent.
% 170.70/26.00  | | 
% 170.70/26.00  | Case 2:
% 170.70/26.00  | | 
% 170.70/26.00  | |   (94)  all_56_6 = e0 | all_56_12 = e0
% 170.70/26.00  | | 
% 170.70/26.00  | | BETA: splitting (94) gives:
% 170.70/26.00  | | 
% 170.70/26.00  | | Case 1:
% 170.70/26.00  | | | 
% 170.70/26.00  | | |   (95)  all_56_6 = e0
% 170.70/26.00  | | | 
% 170.70/26.00  | | | COMBINE_EQS: (63), (95) imply:
% 170.70/26.00  | | |   (96)  all_52_2 = e0
% 170.70/26.00  | | | 
% 170.70/26.00  | | | SIMP: (96) implies:
% 170.70/26.00  | | |   (97)  all_52_2 = e0
% 170.70/26.00  | | | 
% 170.70/26.00  | | | COMBINE_EQS: (46), (97) imply:
% 170.70/26.00  | | |   (98)  all_58_18 = e0
% 170.70/26.00  | | | 
% 170.70/26.00  | | | REDUCE: (72), (97) imply:
% 170.70/26.00  | | |   (99)   ~ (all_52_3 = e0)
% 170.70/26.00  | | | 
% 170.70/26.00  | | | REDUCE: (77), (97) imply:
% 170.70/26.00  | | |   (100)   ~ (all_52_14 = e0)
% 170.70/26.00  | | | 
% 170.70/26.00  | | | SIMP: (100) implies:
% 170.70/26.00  | | |   (101)   ~ (all_52_14 = e0)
% 170.70/26.00  | | | 
% 170.70/26.00  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13),
% 170.70/26.00  | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 170.70/26.00  | | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33),
% 170.70/26.00  | | |            (34), (35), (36), (37), (38), (39), (40), (41), (42), (43),
% 170.70/26.00  | | |            (44), (45), (47), (48), (49), (50), (51), (52), (53), (54),
% 170.70/26.00  | | |            (56), (57), (58), (59), (60), (61), (62), (64), (65), (66),
% 170.70/26.00  | | |            (67), (68), (69), (70), (71), (73), (74), (75), (76), (78),
% 170.70/26.00  | | |            (79), (80), (81), (82), (83), (84), (85), (86), (87), (88),
% 170.70/26.00  | | |            (89), (90), (95), (98), (101) are inconsistent by sub-proof
% 170.70/26.00  | | |            #91.
% 170.70/26.00  | | | 
% 170.70/26.00  | | Case 2:
% 170.70/26.00  | | | 
% 170.70/26.00  | | |   (102)  all_56_12 = e0
% 170.70/26.00  | | | 
% 170.70/26.00  | | | REF_CLOSE: (3), (81), (102) are inconsistent by sub-proof #919.
% 170.70/26.00  | | | 
% 170.70/26.00  | | End of split
% 170.70/26.00  | | 
% 170.70/26.00  | End of split
% 170.70/26.00  | 
% 170.70/26.00  End of proof
% 170.70/26.00  
% 170.70/26.00  Sub-proof #91 shows that the following formulas are inconsistent:
% 170.70/26.00  ----------------------------------------------------------------
% 170.70/26.00    (1)  all_56_1 = all_52_4
% 170.70/26.00    (2)  op(all_4_2, e2) = e0
% 170.70/26.00    (3)  all_56_12 = all_52_3
% 170.70/26.00    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 170.70/26.00    (5)   ~ (e3 = e1)
% 170.70/26.00    (6)  all_58_23 = all_52_7
% 170.70/26.00    (7)   ~ (all_52_4 = all_4_2)
% 170.70/26.00    (8)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.70/26.00    (9)  all_56_5 = all_52_9
% 170.70/26.00    (10)   ~ (all_52_12 = all_6_2)
% 170.70/26.00    (11)   ~ (all_52_6 = all_4_2)
% 170.70/26.00    (12)  all_56_15 = all_14_2
% 170.70/26.00    (13)  op(e0, e2) = all_52_7
% 170.70/26.00    (14)   ~ (all_14_2 = e0)
% 170.70/26.00    (15)   ~ (all_52_9 = all_4_2)
% 170.70/26.00    (16)   ~ (all_52_3 = all_52_7)
% 170.70/26.00    (17)  all_54_6 = all_52_9
% 170.70/26.00    (18)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 170.70/26.00    (19)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.70/26.00    (20)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.70/26.00    (21)   ~ (all_52_9 = e0)
% 170.70/26.00    (22)  all_58_26 = all_10_2
% 170.70/26.00    (23)   ~ (all_52_4 = all_52_6)
% 170.70/26.00    (24)  all_58_31 = all_14_2
% 170.70/26.00    (25)   ~ (all_52_3 = all_6_2)
% 170.70/26.00    (26)  all_58_18 = e0
% 170.70/26.00    (27)   ~ (all_52_1 = all_6_2)
% 170.70/26.00    (28)  all_56_11 = all_52_14
% 170.70/26.00    (29)   ~ (all_52_6 = all_52_7)
% 170.70/26.00    (30)  all_56_0 = all_6_2
% 170.70/26.00    (31)  all_58_30 = all_52_14
% 170.70/26.00    (32)  all_58_17 = all_52_1
% 170.70/26.00    (33)  op(e2, all_4_2) = all_58_5
% 170.70/26.00    (34)  all_58_19 = all_52_3
% 170.70/26.00    (35)  all_56_9 = all_52_12
% 170.70/26.00    (36)  op(e2, e2) = all_4_2
% 170.70/26.00    (37)   ~ (e3 = e2)
% 170.70/26.00    (38)   ~ (all_52_4 = all_52_7)
% 170.70/26.00    (39)   ~ (all_52_6 = all_10_2)
% 170.70/26.00    (40)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 170.70/26.00    (41)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 170.70/26.00    (42)   ~ (all_52_1 = all_4_2)
% 170.70/26.00    (43)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.70/26.00    (44)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.70/26.00    (45)   ~ (all_52_13 = all_52_14)
% 170.70/26.00    (46)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.70/26.00    (47)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 170.70/26.00    (48)  all_58_16 = all_6_2
% 170.70/26.00    (49)  all_56_13 = all_52_7
% 170.70/26.00    (50)   ~ (all_52_4 = all_6_2)
% 170.70/26.00    (51)  all_56_2 = all_52_1
% 170.70/26.00    (52)   ~ (e3 = e0)
% 170.70/26.00    (53)  all_58_29 = all_52_13
% 170.70/26.00    (54)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 170.70/26.00    (55)   ~ (all_52_6 = all_52_14)
% 170.70/26.00    (56)   ~ (all_52_7 = all_4_2)
% 170.70/26.00    (57)  all_56_4 = all_52_8
% 170.70/26.00    (58)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.70/26.00    (59)  all_58_20 = all_52_4
% 170.70/26.00    (60)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.70/26.00    (61)   ~ (all_52_1 = all_52_9)
% 170.70/26.00    (62)  all_56_6 = e0
% 170.70/26.00    (63)   ~ (all_52_12 = all_52_14)
% 170.70/26.00    (64)  all_58_22 = all_52_6
% 170.70/26.00    (65)  all_58_27 = e0
% 170.70/26.00    (66)   ~ (all_52_4 = all_52_12)
% 170.70/26.00    (67)  all_56_3 = all_4_2
% 170.70/26.00    (68)  all_54_0 = all_6_2
% 170.70/26.00    (69)   ~ (all_52_1 = e0)
% 170.70/26.00    (70)   ~ (all_52_4 = all_52_8)
% 170.70/26.00    (71)   ~ (all_52_14 = all_14_2)
% 170.70/26.00    (72)  all_58_25 = all_52_9
% 170.70/26.00    (73)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.70/26.00            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.70/26.00    (74)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 170.70/26.00    (75)  all_58_21 = all_4_2
% 170.70/26.00    (76)  all_56_10 = all_52_13
% 170.70/26.00    (77)   ~ (all_52_3 = e0)
% 170.70/26.00    (78)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 170.70/26.00    (79)   ~ (e2 = e0)
% 170.70/26.00    (80)   ~ (all_52_14 = e0)
% 170.70/26.00    (81)  all_58_28 = all_52_12
% 170.70/26.00    (82)   ~ (e1 = e0)
% 170.70/26.00    (83)  all_56_7 = all_52_6
% 170.70/26.00    (84)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 170.70/26.00    (85)   ~ (all_52_8 = e0)
% 170.70/26.00    (86)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.70/26.00          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.70/26.00          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.70/26.00          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.70/26.00          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.70/26.00          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.70/26.00          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.70/26.00          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.70/26.00          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.70/26.00          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.70/26.00            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.70/26.00            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.70/26.00            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.70/26.00            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.70/26.00            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.70/26.00            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.70/26.00            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.70/26.00            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.70/26.00            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.70/26.00            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.70/26.00            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.70/26.00            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.70/26.00            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.70/26.00            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.70/26.00            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.70/26.00            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.70/26.00          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.70/26.00          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.70/26.00          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.70/26.00            all_58_30 = e0 & e1 = e0)
% 170.70/26.00    (87)   ~ (all_52_12 = all_52_13)
% 170.70/26.00  
% 170.70/26.00  Begin of proof
% 170.70/26.00  | 
% 170.70/26.00  | BETA: splitting (47) gives:
% 170.70/26.00  | 
% 170.70/26.00  | Case 1:
% 170.70/26.00  | | 
% 170.70/26.00  | |   (88)  all_56_1 = e0
% 170.70/26.00  | | 
% 170.70/26.00  | | COMBINE_EQS: (1), (88) imply:
% 170.70/26.00  | |   (89)  all_52_4 = e0
% 170.70/26.00  | | 
% 170.70/26.00  | | COMBINE_EQS: (59), (89) imply:
% 170.70/26.00  | |   (90)  all_58_20 = e0
% 170.70/26.00  | | 
% 170.70/26.00  | | REDUCE: (23), (89) imply:
% 170.70/26.00  | |   (91)   ~ (all_52_6 = e0)
% 170.70/26.00  | | 
% 170.70/26.00  | | SIMP: (91) implies:
% 170.70/26.00  | |   (92)   ~ (all_52_6 = e0)
% 170.70/26.00  | | 
% 170.70/26.00  | | REDUCE: (38), (89) imply:
% 170.70/26.00  | |   (93)   ~ (all_52_7 = e0)
% 170.70/26.00  | | 
% 170.70/26.00  | | SIMP: (93) implies:
% 170.70/26.00  | |   (94)   ~ (all_52_7 = e0)
% 170.70/26.00  | | 
% 170.70/26.00  | | REDUCE: (70), (89) imply:
% 170.70/26.00  | |   (95)   ~ (all_52_8 = e0)
% 170.70/26.00  | | 
% 170.70/26.00  | | REDUCE: (66), (89) imply:
% 170.70/26.00  | |   (96)   ~ (all_52_12 = e0)
% 170.70/26.00  | | 
% 170.70/26.00  | | SIMP: (96) implies:
% 170.70/26.00  | |   (97)   ~ (all_52_12 = e0)
% 170.70/26.00  | | 
% 170.70/26.00  | | REDUCE: (50), (89) imply:
% 170.70/26.00  | |   (98)   ~ (all_6_2 = e0)
% 170.70/26.00  | | 
% 170.70/26.00  | | SIMP: (98) implies:
% 170.70/26.00  | |   (99)   ~ (all_6_2 = e0)
% 170.70/26.00  | | 
% 170.70/26.00  | | REDUCE: (7), (89) imply:
% 170.70/26.00  | |   (100)   ~ (all_4_2 = e0)
% 170.70/26.00  | | 
% 170.70/26.00  | | SIMP: (100) implies:
% 170.70/26.00  | |   (101)   ~ (all_4_2 = e0)
% 170.70/26.00  | | 
% 170.70/26.00  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 170.70/26.00  | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (24), (25),
% 170.70/26.00  | |            (26), (27), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 170.70/26.00  | |            (37), (38), (39), (40), (41), (42), (43), (44), (45), (46), (48),
% 170.70/26.00  | |            (49), (51), (52), (53), (54), (55), (56), (57), (59), (60), (61),
% 170.70/26.00  | |            (62), (63), (64), (65), (67), (68), (69), (71), (72), (73), (74),
% 170.70/26.00  | |            (75), (76), (77), (78), (79), (80), (81), (82), (83), (84), (85),
% 170.70/26.00  | |            (86), (88), (90), (92), (94), (97), (99), (101) are inconsistent
% 170.70/26.00  | |            by sub-proof #93.
% 170.70/26.00  | | 
% 170.70/26.00  | Case 2:
% 170.70/26.00  | | 
% 170.70/26.00  | |   (102)   ~ (all_56_1 = e0)
% 170.70/26.00  | | 
% 170.70/26.00  | | REDUCE: (1), (102) imply:
% 170.70/26.00  | |   (103)   ~ (all_52_4 = e0)
% 170.70/26.00  | | 
% 170.70/26.00  | | REF_CLOSE: (1), (2), (9), (13), (21), (35), (40), (51), (56), (57), (58),
% 170.70/26.00  | |            (67), (69), (73), (76), (85), (87), (103) are inconsistent by
% 170.70/26.00  | |            sub-proof #92.
% 170.70/26.00  | | 
% 170.70/26.00  | End of split
% 170.70/26.00  | 
% 170.70/26.00  End of proof
% 170.70/26.00  
% 170.70/26.00  Sub-proof #92 shows that the following formulas are inconsistent:
% 170.70/26.00  ----------------------------------------------------------------
% 170.70/26.00    (1)  all_56_1 = all_52_4
% 170.70/26.00    (2)  op(all_4_2, e2) = e0
% 170.70/26.00    (3)  all_56_5 = all_52_9
% 170.70/26.00    (4)  op(e0, e2) = all_52_7
% 170.70/26.00    (5)   ~ (all_52_9 = e0)
% 170.70/26.00    (6)   ~ (all_52_4 = e0)
% 170.70/26.00    (7)  all_56_9 = all_52_12
% 170.70/26.00    (8)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 170.70/26.00    (9)  all_56_2 = all_52_1
% 170.70/26.00    (10)   ~ (all_52_7 = all_4_2)
% 170.70/26.00    (11)  all_56_4 = all_52_8
% 170.70/26.00    (12)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.70/26.00    (13)  all_56_3 = all_4_2
% 170.70/26.00    (14)   ~ (all_52_1 = e0)
% 170.70/26.00    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.70/26.00            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.70/26.00    (16)  all_56_10 = all_52_13
% 170.70/26.00    (17)   ~ (all_52_8 = e0)
% 170.70/26.00    (18)   ~ (all_52_12 = all_52_13)
% 170.70/26.00  
% 170.70/26.00  Begin of proof
% 170.70/26.00  | 
% 170.70/26.00  | BETA: splitting (8) gives:
% 170.70/26.00  | 
% 170.70/26.00  | Case 1:
% 170.70/26.00  | | 
% 170.70/26.00  | |   (19)  all_56_1 = e0
% 170.70/26.00  | | 
% 170.70/26.00  | | COMBINE_EQS: (1), (19) imply:
% 170.70/26.00  | |   (20)  all_52_4 = e0
% 170.70/26.00  | | 
% 170.70/26.00  | | REDUCE: (6), (20) imply:
% 170.70/26.00  | |   (21)  $false
% 170.70/26.00  | | 
% 170.70/26.00  | | CLOSE: (21) is inconsistent.
% 170.70/26.00  | | 
% 170.70/26.00  | Case 2:
% 170.70/26.00  | | 
% 170.70/26.00  | |   (22)  all_56_4 = e0 | all_56_9 = e0
% 170.70/26.00  | | 
% 170.70/26.00  | | BETA: splitting (22) gives:
% 170.70/26.00  | | 
% 170.70/26.00  | | Case 1:
% 170.70/26.00  | | | 
% 170.70/26.00  | | |   (23)  all_56_4 = e0
% 170.70/26.00  | | | 
% 170.70/26.00  | | | COMBINE_EQS: (11), (23) imply:
% 170.70/26.00  | | |   (24)  all_52_8 = e0
% 170.70/26.00  | | | 
% 170.70/26.00  | | | REDUCE: (17), (24) imply:
% 170.70/26.00  | | |   (25)  $false
% 170.70/26.00  | | | 
% 170.70/26.00  | | | CLOSE: (25) is inconsistent.
% 170.70/26.00  | | | 
% 170.70/26.00  | | Case 2:
% 170.70/26.00  | | | 
% 170.70/26.00  | | |   (26)  all_56_9 = e0
% 170.70/26.00  | | | 
% 170.70/26.00  | | | COMBINE_EQS: (7), (26) imply:
% 170.70/26.00  | | |   (27)  all_52_12 = e0
% 170.70/26.00  | | | 
% 170.70/26.00  | | | SIMP: (27) implies:
% 170.70/26.00  | | |   (28)  all_52_12 = e0
% 170.70/26.00  | | | 
% 170.70/26.00  | | | REDUCE: (18), (28) imply:
% 170.70/26.00  | | |   (29)   ~ (all_52_13 = e0)
% 170.70/26.00  | | | 
% 170.70/26.00  | | | SIMP: (29) implies:
% 170.70/26.00  | | |   (30)   ~ (all_52_13 = e0)
% 170.70/26.00  | | | 
% 170.70/26.00  | | | REF_CLOSE: (2), (3), (4), (5), (9), (10), (12), (13), (14), (15), (16),
% 170.70/26.00  | | |            (30) are inconsistent by sub-proof #126.
% 170.70/26.00  | | | 
% 170.70/26.00  | | End of split
% 170.70/26.00  | | 
% 170.70/26.00  | End of split
% 170.70/26.00  | 
% 170.70/26.00  End of proof
% 170.70/26.00  
% 170.70/26.00  Sub-proof #93 shows that the following formulas are inconsistent:
% 170.70/26.00  ----------------------------------------------------------------
% 170.70/26.00    (1)  all_56_1 = all_52_4
% 170.70/26.00    (2)  op(all_4_2, e2) = e0
% 170.70/26.00    (3)  all_56_12 = all_52_3
% 170.70/26.00    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 170.70/26.00    (5)   ~ (e3 = e1)
% 170.70/26.00    (6)  all_58_23 = all_52_7
% 170.70/26.00    (7)   ~ (all_52_4 = all_4_2)
% 170.70/26.00    (8)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.70/26.00    (9)  all_56_5 = all_52_9
% 170.70/26.00    (10)   ~ (all_52_12 = all_6_2)
% 170.70/26.00    (11)   ~ (all_52_6 = all_4_2)
% 170.70/26.00    (12)  all_56_15 = all_14_2
% 170.70/26.00    (13)   ~ (all_14_2 = e0)
% 170.70/26.00    (14)   ~ (all_52_9 = all_4_2)
% 170.70/26.00    (15)   ~ (all_52_3 = all_52_7)
% 170.70/26.00    (16)  all_54_6 = all_52_9
% 170.70/26.00    (17)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 170.70/26.00    (18)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.70/26.00    (19)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.70/26.00    (20)   ~ (all_52_9 = e0)
% 170.70/26.00    (21)  all_58_26 = all_10_2
% 170.70/26.00    (22)  all_58_31 = all_14_2
% 170.70/26.00    (23)   ~ (all_52_3 = all_6_2)
% 170.70/26.00    (24)  all_58_18 = e0
% 170.70/26.00    (25)   ~ (all_52_1 = all_6_2)
% 170.70/26.00    (26)  all_56_11 = all_52_14
% 170.70/26.00    (27)   ~ (all_52_6 = all_52_7)
% 170.70/26.00    (28)  all_56_0 = all_6_2
% 170.70/26.00    (29)  all_58_30 = all_52_14
% 170.70/26.00    (30)  all_58_17 = all_52_1
% 170.70/26.00    (31)  op(e2, all_4_2) = all_58_5
% 170.70/26.00    (32)  all_58_20 = e0
% 170.70/26.00    (33)  all_58_19 = all_52_3
% 170.70/26.00    (34)  all_56_9 = all_52_12
% 170.70/26.00    (35)  op(e2, e2) = all_4_2
% 170.70/26.00    (36)   ~ (e3 = e2)
% 170.70/26.00    (37)   ~ (all_52_4 = all_52_7)
% 170.70/26.00    (38)   ~ (all_52_6 = all_10_2)
% 170.70/26.00    (39)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 170.70/26.00    (40)  all_56_1 = e0
% 170.70/26.00    (41)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 170.70/26.00    (42)   ~ (all_52_1 = all_4_2)
% 170.70/26.00    (43)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.70/26.00    (44)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.70/26.00    (45)   ~ (all_52_13 = all_52_14)
% 170.70/26.00    (46)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.70/26.00    (47)  all_58_16 = all_6_2
% 170.70/26.00    (48)  all_56_13 = all_52_7
% 170.70/26.00    (49)   ~ (all_52_12 = e0)
% 170.70/26.00    (50)  all_56_2 = all_52_1
% 170.70/26.00    (51)   ~ (e3 = e0)
% 170.70/26.00    (52)  all_58_29 = all_52_13
% 170.70/26.00    (53)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 170.70/26.00    (54)   ~ (all_4_2 = e0)
% 170.70/26.00    (55)   ~ (all_6_2 = e0)
% 170.70/26.00    (56)   ~ (all_52_6 = all_52_14)
% 170.70/26.00    (57)   ~ (all_52_7 = all_4_2)
% 170.70/26.00    (58)  all_56_4 = all_52_8
% 170.70/26.00    (59)  all_58_20 = all_52_4
% 170.70/26.00    (60)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.70/26.00    (61)   ~ (all_52_1 = all_52_9)
% 170.70/26.00    (62)  all_56_6 = e0
% 170.70/26.00    (63)   ~ (all_52_7 = e0)
% 170.70/26.00    (64)   ~ (all_52_12 = all_52_14)
% 170.70/26.00    (65)  all_58_22 = all_52_6
% 170.70/26.00    (66)  all_58_27 = e0
% 170.70/26.00    (67)  all_56_3 = all_4_2
% 170.70/26.00    (68)  all_54_0 = all_6_2
% 170.70/26.00    (69)   ~ (all_52_1 = e0)
% 170.70/26.00    (70)   ~ (all_52_14 = all_14_2)
% 170.70/26.00    (71)  all_58_25 = all_52_9
% 170.70/26.00    (72)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.70/26.00            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.70/26.00    (73)   ~ (all_52_6 = e0)
% 170.70/26.00    (74)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 170.70/26.00    (75)  all_58_21 = all_4_2
% 170.70/26.00    (76)  all_56_10 = all_52_13
% 170.70/26.00    (77)   ~ (all_52_3 = e0)
% 170.70/26.00    (78)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 170.70/26.00    (79)   ~ (e2 = e0)
% 170.70/26.00    (80)   ~ (all_52_14 = e0)
% 170.70/26.00    (81)  all_58_28 = all_52_12
% 170.70/26.00    (82)   ~ (e1 = e0)
% 170.70/26.00    (83)  all_56_7 = all_52_6
% 170.70/26.01    (84)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 170.70/26.01    (85)   ~ (all_52_8 = e0)
% 170.70/26.01    (86)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.70/26.01          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.70/26.01          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.70/26.01          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.70/26.01          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.70/26.01          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.70/26.01          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.70/26.01          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.70/26.01          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.70/26.01          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.70/26.01            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.70/26.01            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.70/26.01            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.70/26.01            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.70/26.01            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.70/26.01            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.70/26.01            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.70/26.01            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.70/26.01            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.70/26.01            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.70/26.01            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.70/26.01            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.70/26.01            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.70/26.01            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.70/26.01            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.70/26.01            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.70/26.01          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.70/26.01          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.70/26.01          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.70/26.01            all_58_30 = e0 & e1 = e0)
% 170.70/26.01  
% 170.70/26.01  Begin of proof
% 170.70/26.01  | 
% 170.70/26.01  | BETA: splitting (74) gives:
% 170.70/26.01  | 
% 170.70/26.01  | Case 1:
% 170.70/26.01  | | 
% 170.70/26.01  | |   (87)  all_56_9 = e0
% 170.70/26.01  | | 
% 170.70/26.01  | | COMBINE_EQS: (34), (87) imply:
% 170.70/26.01  | |   (88)  all_52_12 = e0
% 170.70/26.01  | | 
% 170.70/26.01  | | REDUCE: (49), (88) imply:
% 170.70/26.01  | |   (89)  $false
% 170.70/26.01  | | 
% 170.70/26.01  | | CLOSE: (89) is inconsistent.
% 170.70/26.01  | | 
% 170.70/26.01  | Case 2:
% 170.70/26.01  | | 
% 170.70/26.01  | |   (90)   ~ (all_56_9 = e0)
% 170.70/26.01  | |   (91)  all_56_10 = e0 | all_56_11 = e0
% 170.70/26.01  | | 
% 170.70/26.01  | | BETA: splitting (91) gives:
% 170.70/26.01  | | 
% 170.70/26.01  | | Case 1:
% 170.70/26.01  | | | 
% 170.70/26.01  | | |   (92)  all_56_10 = e0
% 170.70/26.01  | | | 
% 170.70/26.01  | | | COMBINE_EQS: (76), (92) imply:
% 170.70/26.01  | | |   (93)  all_52_13 = e0
% 170.70/26.01  | | | 
% 170.70/26.01  | | | COMBINE_EQS: (52), (93) imply:
% 170.70/26.01  | | |   (94)  all_58_29 = e0
% 170.70/26.01  | | | 
% 170.70/26.01  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 170.70/26.01  | | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 170.70/26.01  | | |            (23), (24), (25), (26), (27), (28), (29), (30), (31), (32),
% 170.70/26.01  | | |            (33), (34), (35), (36), (37), (38), (39), (40), (41), (42),
% 170.70/26.01  | | |            (43), (44), (45), (46), (47), (48), (49), (50), (51), (52),
% 170.70/26.01  | | |            (53), (54), (55), (56), (57), (58), (59), (60), (61), (62),
% 170.70/26.01  | | |            (63), (64), (65), (66), (67), (68), (69), (70), (71), (72),
% 170.70/26.01  | | |            (73), (75), (76), (77), (78), (79), (80), (81), (82), (83),
% 170.70/26.01  | | |            (84), (85), (86), (92), (94) are inconsistent by sub-proof #94.
% 170.70/26.01  | | | 
% 170.70/26.01  | | Case 2:
% 170.70/26.01  | | | 
% 170.70/26.01  | | |   (95)  all_56_11 = e0
% 170.70/26.01  | | | 
% 170.70/26.01  | | | REF_CLOSE: (26), (80), (95) are inconsistent by sub-proof #873.
% 170.70/26.01  | | | 
% 170.70/26.01  | | End of split
% 170.70/26.01  | | 
% 170.70/26.01  | End of split
% 170.70/26.01  | 
% 170.70/26.01  End of proof
% 170.70/26.01  
% 170.70/26.01  Sub-proof #94 shows that the following formulas are inconsistent:
% 170.70/26.01  ----------------------------------------------------------------
% 170.70/26.01    (1)  all_56_1 = all_52_4
% 170.70/26.01    (2)  op(all_4_2, e2) = e0
% 170.70/26.01    (3)  all_56_12 = all_52_3
% 170.70/26.01    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 170.70/26.01    (5)   ~ (e3 = e1)
% 170.70/26.01    (6)  all_58_23 = all_52_7
% 170.70/26.01    (7)   ~ (all_52_4 = all_4_2)
% 170.70/26.01    (8)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.70/26.01    (9)  all_56_5 = all_52_9
% 170.70/26.01    (10)   ~ (all_52_12 = all_6_2)
% 170.70/26.01    (11)   ~ (all_52_6 = all_4_2)
% 170.70/26.01    (12)  all_56_10 = e0
% 170.70/26.01    (13)  all_56_15 = all_14_2
% 170.70/26.01    (14)   ~ (all_14_2 = e0)
% 170.70/26.01    (15)   ~ (all_52_9 = all_4_2)
% 170.70/26.01    (16)   ~ (all_52_3 = all_52_7)
% 170.70/26.01    (17)  all_54_6 = all_52_9
% 170.70/26.01    (18)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 170.70/26.01    (19)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.70/26.01    (20)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.70/26.01    (21)   ~ (all_52_9 = e0)
% 170.70/26.01    (22)  all_58_26 = all_10_2
% 170.70/26.01    (23)  all_58_31 = all_14_2
% 170.70/26.01    (24)   ~ (all_52_3 = all_6_2)
% 170.70/26.01    (25)  all_58_18 = e0
% 170.70/26.01    (26)   ~ (all_52_1 = all_6_2)
% 170.70/26.01    (27)  all_56_11 = all_52_14
% 170.70/26.01    (28)   ~ (all_52_6 = all_52_7)
% 170.70/26.01    (29)  all_56_0 = all_6_2
% 170.70/26.01    (30)  all_58_30 = all_52_14
% 170.70/26.01    (31)  all_58_17 = all_52_1
% 170.70/26.01    (32)  op(e2, all_4_2) = all_58_5
% 170.70/26.01    (33)  all_58_20 = e0
% 170.70/26.01    (34)  all_58_19 = all_52_3
% 170.70/26.01    (35)  all_56_9 = all_52_12
% 170.70/26.01    (36)  op(e2, e2) = all_4_2
% 170.70/26.01    (37)   ~ (e3 = e2)
% 170.70/26.01    (38)   ~ (all_52_4 = all_52_7)
% 170.70/26.01    (39)   ~ (all_52_6 = all_10_2)
% 170.70/26.01    (40)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 170.70/26.01    (41)  all_56_1 = e0
% 170.70/26.01    (42)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 170.70/26.01    (43)   ~ (all_52_1 = all_4_2)
% 170.70/26.01    (44)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.70/26.01    (45)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.70/26.01    (46)   ~ (all_52_13 = all_52_14)
% 170.70/26.01    (47)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.70/26.01    (48)  all_58_16 = all_6_2
% 170.70/26.01    (49)  all_56_13 = all_52_7
% 170.70/26.01    (50)   ~ (all_52_12 = e0)
% 170.70/26.01    (51)  all_56_2 = all_52_1
% 170.70/26.01    (52)   ~ (e3 = e0)
% 170.70/26.01    (53)  all_58_29 = all_52_13
% 170.70/26.01    (54)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 170.70/26.01    (55)   ~ (all_4_2 = e0)
% 170.70/26.01    (56)   ~ (all_6_2 = e0)
% 170.70/26.01    (57)   ~ (all_52_6 = all_52_14)
% 170.70/26.01    (58)   ~ (all_52_7 = all_4_2)
% 170.70/26.01    (59)  all_56_4 = all_52_8
% 170.70/26.01    (60)  all_58_20 = all_52_4
% 170.70/26.01    (61)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.70/26.01    (62)   ~ (all_52_1 = all_52_9)
% 170.70/26.01    (63)  all_56_6 = e0
% 170.70/26.01    (64)   ~ (all_52_7 = e0)
% 170.70/26.01    (65)   ~ (all_52_12 = all_52_14)
% 170.70/26.01    (66)  all_58_22 = all_52_6
% 170.70/26.01    (67)  all_58_27 = e0
% 170.70/26.01    (68)  all_56_3 = all_4_2
% 170.70/26.01    (69)  all_54_0 = all_6_2
% 170.70/26.01    (70)  all_58_29 = e0
% 170.70/26.01    (71)   ~ (all_52_1 = e0)
% 170.70/26.01    (72)   ~ (all_52_14 = all_14_2)
% 170.70/26.01    (73)  all_58_25 = all_52_9
% 170.70/26.01    (74)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.70/26.01            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.70/26.01    (75)   ~ (all_52_6 = e0)
% 170.70/26.01    (76)  all_58_21 = all_4_2
% 170.70/26.01    (77)  all_56_10 = all_52_13
% 170.70/26.01    (78)   ~ (all_52_3 = e0)
% 170.70/26.01    (79)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 170.70/26.01    (80)   ~ (e2 = e0)
% 170.70/26.01    (81)   ~ (all_52_14 = e0)
% 170.70/26.01    (82)  all_58_28 = all_52_12
% 170.70/26.01    (83)   ~ (e1 = e0)
% 170.70/26.01    (84)  all_56_7 = all_52_6
% 170.70/26.01    (85)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 170.70/26.01    (86)   ~ (all_52_8 = e0)
% 170.70/26.01    (87)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.70/26.01          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.70/26.01          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.70/26.01          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.70/26.01          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.70/26.01          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.70/26.01          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.70/26.01          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.70/26.01          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.70/26.01          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.70/26.01            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.70/26.01            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.70/26.01            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.70/26.01            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.70/26.01            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.70/26.01            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.70/26.01            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.70/26.01            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.70/26.01            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.70/26.01            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.70/26.01            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.70/26.01            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.70/26.01            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.70/26.01            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.70/26.01            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.70/26.01            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.70/26.01          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.70/26.01          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.70/26.01          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.70/26.01            all_58_30 = e0 & e1 = e0)
% 170.70/26.01  
% 170.70/26.01  Begin of proof
% 170.70/26.01  | 
% 170.70/26.01  | BETA: splitting (18) gives:
% 170.70/26.01  | 
% 170.70/26.01  | Case 1:
% 170.70/26.01  | | 
% 170.70/26.01  | |   (88)  all_54_6 = e0
% 170.70/26.01  | | 
% 170.70/26.01  | | COMBINE_EQS: (17), (88) imply:
% 170.70/26.01  | |   (89)  all_52_9 = e0
% 170.70/26.01  | | 
% 170.70/26.01  | | REDUCE: (21), (89) imply:
% 170.70/26.01  | |   (90)  $false
% 170.70/26.01  | | 
% 170.70/26.01  | | CLOSE: (90) is inconsistent.
% 170.70/26.01  | | 
% 170.70/26.01  | Case 2:
% 170.70/26.01  | | 
% 170.70/26.01  | |   (91)   ~ (all_54_6 = e0)
% 170.70/26.01  | |   (92)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 170.70/26.01  | | 
% 170.70/26.01  | | BETA: splitting (4) gives:
% 170.70/26.01  | | 
% 170.70/26.01  | | Case 1:
% 170.70/26.01  | | | 
% 170.70/26.01  | | |   (93)  all_54_0 = e0
% 170.70/26.01  | | | 
% 170.70/26.01  | | | REF_CLOSE: (56), (69), (93) are inconsistent by sub-proof #984.
% 170.70/26.01  | | | 
% 170.70/26.01  | | Case 2:
% 170.70/26.01  | | | 
% 170.70/26.01  | | |   (94)   ~ (all_54_0 = e0)
% 170.70/26.01  | | |   (95)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 170.70/26.01  | | | 
% 170.70/26.01  | | | BETA: splitting (8) gives:
% 170.70/26.01  | | | 
% 170.70/26.01  | | | Case 1:
% 170.70/26.01  | | | | 
% 170.70/26.01  | | | |   (96)  all_58_19 = e0
% 170.70/26.01  | | | | 
% 170.70/26.01  | | | | COMBINE_EQS: (34), (96) imply:
% 170.70/26.01  | | | |   (97)  all_52_3 = e0
% 170.70/26.01  | | | | 
% 170.70/26.01  | | | | REDUCE: (78), (97) imply:
% 170.70/26.01  | | | |   (98)  $false
% 170.70/26.01  | | | | 
% 170.70/26.01  | | | | CLOSE: (98) is inconsistent.
% 170.70/26.01  | | | | 
% 170.70/26.01  | | | Case 2:
% 170.70/26.01  | | | | 
% 170.70/26.01  | | | |   (99)   ~ (all_58_19 = e0)
% 170.70/26.01  | | | |   (100)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 170.70/26.01  | | | | 
% 170.70/26.01  | | | | BETA: splitting (20) gives:
% 170.70/26.01  | | | | 
% 170.70/26.01  | | | | Case 1:
% 170.70/26.01  | | | | | 
% 170.70/26.01  | | | | |   (101)  all_58_31 = e0
% 170.70/26.01  | | | | | 
% 170.70/26.01  | | | | | COMBINE_EQS: (23), (101) imply:
% 170.70/26.01  | | | | |   (102)  all_14_2 = e0
% 170.70/26.01  | | | | | 
% 170.70/26.01  | | | | | REDUCE: (14), (102) imply:
% 170.70/26.01  | | | | |   (103)  $false
% 170.70/26.01  | | | | | 
% 170.70/26.01  | | | | | CLOSE: (103) is inconsistent.
% 170.70/26.01  | | | | | 
% 170.70/26.01  | | | | Case 2:
% 170.70/26.01  | | | | | 
% 170.70/26.01  | | | | |   (104)   ~ (all_58_31 = e0)
% 170.70/26.01  | | | | |   (105)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 170.70/26.01  | | | | | 
% 170.70/26.01  | | | | | BETA: splitting (61) gives:
% 170.70/26.01  | | | | | 
% 170.70/26.01  | | | | | Case 1:
% 170.70/26.01  | | | | | | 
% 170.70/26.01  | | | | | |   (106)  all_58_23 = e0
% 170.70/26.01  | | | | | | 
% 170.70/26.01  | | | | | | COMBINE_EQS: (6), (106) imply:
% 170.70/26.01  | | | | | |   (107)  all_52_7 = e0
% 170.70/26.01  | | | | | | 
% 170.70/26.01  | | | | | | REDUCE: (64), (107) imply:
% 170.70/26.01  | | | | | |   (108)  $false
% 170.70/26.01  | | | | | | 
% 170.70/26.01  | | | | | | CLOSE: (108) is inconsistent.
% 170.70/26.01  | | | | | | 
% 170.70/26.01  | | | | | Case 2:
% 170.70/26.01  | | | | | | 
% 170.70/26.01  | | | | | |   (109)   ~ (all_58_23 = e0)
% 170.70/26.01  | | | | | |   (110)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 170.70/26.01  | | | | | | 
% 170.70/26.01  | | | | | | BETA: splitting (42) gives:
% 170.70/26.01  | | | | | | 
% 170.70/26.01  | | | | | | Case 1:
% 170.70/26.01  | | | | | | | 
% 170.70/26.01  | | | | | | |   (111)  all_56_0 = e2
% 170.70/26.01  | | | | | | | 
% 170.70/26.01  | | | | | | | COMBINE_EQS: (29), (111) imply:
% 170.70/26.01  | | | | | | |   (112)  all_6_2 = e2
% 170.70/26.01  | | | | | | | 
% 170.70/26.01  | | | | | | | REDUCE: (24), (112) imply:
% 170.70/26.01  | | | | | | |   (113)   ~ (all_52_3 = e2)
% 170.70/26.01  | | | | | | | 
% 170.70/26.01  | | | | | | | REF_CLOSE: (3), (6), (8), (9), (10), (11), (14), (15), (16), (17),
% 170.70/26.01  | | | | | | |            (19), (21), (22), (23), (24), (25), (26), (28), (29),
% 170.70/26.01  | | | | | | |            (30), (31), (33), (34), (37), (39), (41), (43), (44),
% 170.70/26.01  | | | | | | |            (46), (47), (48), (49), (50), (51), (52), (53), (54),
% 170.70/26.01  | | | | | | |            (55), (57), (58), (62), (63), (64), (66), (67), (68),
% 170.70/26.01  | | | | | | |            (69), (70), (71), (73), (75), (76), (77), (78), (79),
% 170.70/26.01  | | | | | | |            (80), (81), (82), (83), (84), (85), (87), (92), (95),
% 170.70/26.01  | | | | | | |            (100), (105), (110), (113) are inconsistent by
% 170.70/26.01  | | | | | | |            sub-proof #99.
% 170.70/26.01  | | | | | | | 
% 170.70/26.01  | | | | | | Case 2:
% 170.70/26.01  | | | | | | | 
% 170.70/26.01  | | | | | | |   (114)   ~ (all_56_0 = e2)
% 170.70/26.01  | | | | | | | 
% 170.70/26.01  | | | | | | | REDUCE: (29), (114) imply:
% 170.70/26.01  | | | | | | |   (115)   ~ (all_6_2 = e2)
% 170.70/26.01  | | | | | | | 
% 170.70/26.01  | | | | | | | BETA: splitting (95) gives:
% 170.70/26.01  | | | | | | | 
% 170.70/26.01  | | | | | | | Case 1:
% 170.70/26.01  | | | | | | | | 
% 170.70/26.01  | | | | | | | |   (116)  all_54_0 = e1
% 170.70/26.01  | | | | | | | | 
% 170.70/26.01  | | | | | | | | COMBINE_EQS: (69), (116) imply:
% 170.70/26.01  | | | | | | | |   (117)  all_6_2 = e1
% 170.70/26.01  | | | | | | | | 
% 170.70/26.01  | | | | | | | | SIMP: (117) implies:
% 170.70/26.01  | | | | | | | |   (118)  all_6_2 = e1
% 170.70/26.01  | | | | | | | | 
% 170.70/26.01  | | | | | | | | COMBINE_EQS: (48), (118) imply:
% 170.70/26.01  | | | | | | | |   (119)  all_58_16 = e1
% 170.70/26.01  | | | | | | | | 
% 170.70/26.01  | | | | | | | | BETA: splitting (100) gives:
% 170.70/26.01  | | | | | | | | 
% 170.70/26.01  | | | | | | | | Case 1:
% 170.70/26.01  | | | | | | | | | 
% 170.70/26.01  | | | | | | | | |   (120)  all_58_18 = e1
% 170.70/26.01  | | | | | | | | | 
% 170.70/26.01  | | | | | | | | | REF_CLOSE: (25), (83), (120) are inconsistent by sub-proof
% 170.70/26.01  | | | | | | | | |            #888.
% 170.70/26.01  | | | | | | | | | 
% 170.70/26.01  | | | | | | | | Case 2:
% 170.70/26.01  | | | | | | | | | 
% 170.70/26.01  | | | | | | | | |   (121)  all_58_16 = e3 | all_58_17 = e2
% 170.70/26.01  | | | | | | | | | 
% 170.70/26.01  | | | | | | | | | BETA: splitting (121) gives:
% 170.70/26.01  | | | | | | | | | 
% 170.70/26.01  | | | | | | | | | Case 1:
% 170.70/26.01  | | | | | | | | | | 
% 170.70/26.01  | | | | | | | | | |   (122)  all_58_17 = e2
% 170.70/26.01  | | | | | | | | | | 
% 170.70/26.01  | | | | | | | | | | COMBINE_EQS: (31), (122) imply:
% 170.70/26.01  | | | | | | | | | |   (123)  all_52_1 = e2
% 170.70/26.01  | | | | | | | | | | 
% 170.70/26.01  | | | | | | | | | | COMBINE_EQS: (51), (123) imply:
% 170.70/26.01  | | | | | | | | | |   (124)  all_56_2 = e2
% 170.70/26.01  | | | | | | | | | | 
% 170.70/26.01  | | | | | | | | | | REDUCE: (43), (123) imply:
% 170.70/26.01  | | | | | | | | | |   (125)   ~ (all_4_2 = e2)
% 170.70/26.01  | | | | | | | | | | 
% 170.70/26.01  | | | | | | | | | | SIMP: (125) implies:
% 170.70/26.01  | | | | | | | | | |   (126)   ~ (all_4_2 = e2)
% 170.70/26.01  | | | | | | | | | | 
% 170.70/26.01  | | | | | | | | | | REF_CLOSE: (3), (6), (9), (10), (11), (14), (15), (16), (17),
% 170.70/26.01  | | | | | | | | | |            (19), (21), (22), (23), (24), (25), (26), (28),
% 170.70/26.01  | | | | | | | | | |            (29), (30), (31), (33), (34), (37), (39), (41),
% 170.70/26.01  | | | | | | | | | |            (43), (44), (46), (48), (49), (50), (51), (52),
% 170.70/26.01  | | | | | | | | | |            (53), (54), (55), (57), (58), (62), (63), (64),
% 170.70/26.01  | | | | | | | | | |            (66), (67), (68), (69), (70), (71), (73), (75),
% 170.70/26.01  | | | | | | | | | |            (76), (77), (78), (79), (80), (81), (82), (84),
% 170.70/26.01  | | | | | | | | | |            (85), (87), (92), (95), (100), (105), (110),
% 170.70/26.01  | | | | | | | | | |            (124), (126) are inconsistent by sub-proof #100.
% 170.70/26.01  | | | | | | | | | | 
% 170.70/26.01  | | | | | | | | | Case 2:
% 170.70/26.01  | | | | | | | | | | 
% 170.70/26.01  | | | | | | | | | |   (127)  all_58_16 = e3
% 170.70/26.01  | | | | | | | | | | 
% 170.70/26.01  | | | | | | | | | | REF_CLOSE: (5), (119), (127) are inconsistent by sub-proof
% 170.70/26.01  | | | | | | | | | |            #970.
% 170.70/26.01  | | | | | | | | | | 
% 170.70/26.01  | | | | | | | | | End of split
% 170.70/26.01  | | | | | | | | | 
% 170.70/26.01  | | | | | | | | End of split
% 170.70/26.01  | | | | | | | | 
% 170.70/26.01  | | | | | | | Case 2:
% 170.70/26.01  | | | | | | | | 
% 170.70/26.01  | | | | | | | |   (128)   ~ (all_54_0 = e1)
% 170.70/26.01  | | | | | | | |   (129)  all_54_0 = e3 | all_54_0 = e2
% 170.70/26.01  | | | | | | | | 
% 170.70/26.01  | | | | | | | | REDUCE: (69), (128) imply:
% 170.70/26.01  | | | | | | | |   (130)   ~ (all_6_2 = e1)
% 170.70/26.01  | | | | | | | | 
% 170.70/26.01  | | | | | | | | BETA: splitting (129) gives:
% 170.70/26.01  | | | | | | | | 
% 170.70/26.01  | | | | | | | | Case 1:
% 170.70/26.01  | | | | | | | | | 
% 170.70/26.01  | | | | | | | | |   (131)  all_54_0 = e2
% 170.70/26.01  | | | | | | | | | 
% 170.70/26.01  | | | | | | | | | REF_CLOSE: (69), (115), (131) are inconsistent by sub-proof
% 170.70/26.01  | | | | | | | | |            #946.
% 170.70/26.01  | | | | | | | | | 
% 170.70/26.01  | | | | | | | | Case 2:
% 170.70/26.01  | | | | | | | | | 
% 170.70/26.01  | | | | | | | | |   (132)  all_54_0 = e3
% 170.70/26.01  | | | | | | | | | 
% 170.70/26.01  | | | | | | | | | COMBINE_EQS: (69), (132) imply:
% 170.70/26.01  | | | | | | | | |   (133)  all_6_2 = e3
% 170.70/26.01  | | | | | | | | | 
% 170.70/26.01  | | | | | | | | | SIMP: (133) implies:
% 170.70/26.01  | | | | | | | | |   (134)  all_6_2 = e3
% 170.70/26.01  | | | | | | | | | 
% 170.70/26.01  | | | | | | | | | REDUCE: (10), (134) imply:
% 170.70/26.01  | | | | | | | | |   (135)   ~ (all_52_12 = e3)
% 170.70/26.01  | | | | | | | | | 
% 170.70/26.01  | | | | | | | | | REF_CLOSE: (1), (2), (5), (6), (7), (12), (13), (14), (20),
% 170.70/26.01  | | | | | | | | |            (23), (27), (30), (32), (35), (36), (38), (40),
% 170.70/26.01  | | | | | | | | |            (45), (50), (52), (57), (59), (60), (61), (65),
% 170.70/26.01  | | | | | | | | |            (66), (70), (72), (74), (76), (80), (81), (82),
% 170.70/26.01  | | | | | | | | |            (86), (105), (135) are inconsistent by sub-proof
% 170.70/26.01  | | | | | | | | |            #95.
% 170.70/26.01  | | | | | | | | | 
% 170.70/26.01  | | | | | | | | End of split
% 170.70/26.01  | | | | | | | | 
% 170.70/26.01  | | | | | | | End of split
% 170.70/26.01  | | | | | | | 
% 170.70/26.01  | | | | | | End of split
% 170.70/26.01  | | | | | | 
% 170.70/26.01  | | | | | End of split
% 170.70/26.01  | | | | | 
% 170.70/26.01  | | | | End of split
% 170.70/26.01  | | | | 
% 170.70/26.01  | | | End of split
% 170.70/26.01  | | | 
% 170.70/26.01  | | End of split
% 170.70/26.01  | | 
% 170.70/26.01  | End of split
% 170.70/26.01  | 
% 170.70/26.01  End of proof
% 170.70/26.01  
% 170.70/26.01  Sub-proof #95 shows that the following formulas are inconsistent:
% 170.70/26.01  ----------------------------------------------------------------
% 170.70/26.01    (1)  all_56_1 = all_52_4
% 170.70/26.01    (2)  op(all_4_2, e2) = e0
% 170.70/26.01    (3)   ~ (e3 = e1)
% 170.70/26.01    (4)  all_58_23 = all_52_7
% 170.70/26.01    (5)   ~ (all_52_4 = all_4_2)
% 170.70/26.01    (6)  all_56_10 = e0
% 170.70/26.01    (7)  all_56_15 = all_14_2
% 170.70/26.01    (8)   ~ (all_14_2 = e0)
% 170.70/26.01    (9)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 170.70/26.01    (10)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.70/26.01    (11)   ~ (all_52_12 = e3)
% 170.70/26.01    (12)  all_58_31 = all_14_2
% 170.70/26.01    (13)  all_56_11 = all_52_14
% 170.70/26.01    (14)  all_58_30 = all_52_14
% 170.70/26.01    (15)  op(e2, all_4_2) = all_58_5
% 170.70/26.01    (16)  all_56_9 = all_52_12
% 170.70/26.01    (17)  op(e2, e2) = all_4_2
% 170.70/26.01    (18)   ~ (all_52_4 = all_52_7)
% 170.70/26.01    (19)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 170.70/26.01    (20)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.70/26.01    (21)   ~ (all_52_12 = e0)
% 170.70/26.01    (22)   ~ (e3 = e0)
% 170.70/26.01    (23)   ~ (all_52_6 = all_52_14)
% 170.70/26.01    (24)  all_56_4 = all_52_8
% 170.70/26.01    (25)  all_58_20 = all_52_4
% 170.70/26.01    (26)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.70/26.01    (27)   ~ (all_52_12 = all_52_14)
% 170.70/26.01    (28)  all_58_22 = all_52_6
% 170.70/26.01    (29)  all_58_29 = e0
% 170.70/26.01    (30)   ~ (all_52_14 = all_14_2)
% 170.70/26.01    (31)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.70/26.01            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.70/26.01    (32)  all_58_21 = all_4_2
% 170.70/26.01    (33)   ~ (e2 = e0)
% 170.70/26.01    (34)   ~ (all_52_14 = e0)
% 170.70/26.01    (35)  all_58_28 = all_52_12
% 170.70/26.01    (36)   ~ (all_52_8 = e0)
% 170.70/26.01  
% 170.70/26.01  Begin of proof
% 170.70/26.01  | 
% 170.70/26.01  | BETA: splitting (9) gives:
% 170.70/26.01  | 
% 170.70/26.01  | Case 1:
% 170.70/26.01  | | 
% 170.70/26.01  | |   (37)  all_58_30 = e1
% 170.70/26.01  | | 
% 170.70/26.01  | | COMBINE_EQS: (14), (37) imply:
% 170.70/26.01  | |   (38)  all_52_14 = e1
% 170.70/26.01  | | 
% 170.70/26.01  | | REDUCE: (30), (38) imply:
% 170.70/26.01  | |   (39)   ~ (all_14_2 = e1)
% 170.70/26.01  | | 
% 170.70/26.01  | | SIMP: (39) implies:
% 170.70/26.01  | |   (40)   ~ (all_14_2 = e1)
% 170.70/26.01  | | 
% 170.70/26.01  | | REDUCE: (34), (38) imply:
% 170.70/26.01  | |   (41)   ~ (e1 = e0)
% 170.70/26.01  | | 
% 170.70/26.01  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (12), (13), (14),
% 170.70/26.01  | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 170.70/26.01  | |            (26), (27), (28), (29), (31), (32), (33), (35), (36), (40), (41)
% 170.70/26.01  | |            are inconsistent by sub-proof #96.
% 170.70/26.01  | | 
% 170.70/26.01  | Case 2:
% 170.70/26.01  | | 
% 170.70/26.01  | |   (42)  all_58_28 = e3 | all_58_29 = e2
% 170.70/26.01  | | 
% 170.70/26.01  | | REF_CLOSE: (11), (29), (33), (35), (42) are inconsistent by sub-proof #869.
% 170.70/26.01  | | 
% 170.70/26.01  | End of split
% 170.70/26.01  | 
% 170.70/26.01  End of proof
% 170.70/26.01  
% 170.70/26.01  Sub-proof #96 shows that the following formulas are inconsistent:
% 170.70/26.01  ----------------------------------------------------------------
% 170.70/26.01    (1)  all_56_1 = all_52_4
% 170.70/26.01    (2)  op(all_4_2, e2) = e0
% 170.70/26.01    (3)   ~ (e3 = e1)
% 170.70/26.01    (4)  all_58_23 = all_52_7
% 170.70/26.01    (5)   ~ (all_52_4 = all_4_2)
% 170.70/26.01    (6)   ~ (all_14_2 = e1)
% 170.70/26.01    (7)  all_56_10 = e0
% 170.70/26.01    (8)  all_56_15 = all_14_2
% 170.70/26.01    (9)   ~ (all_14_2 = e0)
% 170.70/26.01    (10)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.70/26.01    (11)  all_58_31 = all_14_2
% 170.70/26.01    (12)  all_56_11 = all_52_14
% 170.70/26.01    (13)  all_58_30 = all_52_14
% 170.70/26.01    (14)  op(e2, all_4_2) = all_58_5
% 170.70/26.01    (15)  all_56_9 = all_52_12
% 170.70/26.01    (16)  op(e2, e2) = all_4_2
% 170.70/26.01    (17)   ~ (all_52_4 = all_52_7)
% 170.70/26.01    (18)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 170.70/26.01    (19)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.70/26.01    (20)   ~ (all_52_12 = e0)
% 170.70/26.01    (21)   ~ (e3 = e0)
% 170.70/26.01    (22)   ~ (all_52_6 = all_52_14)
% 170.70/26.01    (23)  all_56_4 = all_52_8
% 170.70/26.01    (24)  all_58_20 = all_52_4
% 170.70/26.01    (25)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.70/26.01    (26)   ~ (all_52_12 = all_52_14)
% 170.70/26.01    (27)  all_58_22 = all_52_6
% 170.70/26.01    (28)  all_58_29 = e0
% 170.70/26.01    (29)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.70/26.01            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.70/26.01    (30)  all_58_21 = all_4_2
% 170.70/26.01    (31)   ~ (e2 = e0)
% 170.70/26.01    (32)  all_58_28 = all_52_12
% 170.70/26.01    (33)   ~ (e1 = e0)
% 170.70/26.01    (34)   ~ (all_52_8 = e0)
% 170.70/26.01  
% 170.70/26.01  Begin of proof
% 170.70/26.01  | 
% 170.70/26.01  | BETA: splitting (18) gives:
% 170.70/26.01  | 
% 170.70/26.01  | Case 1:
% 170.70/26.01  | | 
% 170.70/26.01  | |   (35)  all_56_1 = e0
% 170.70/26.01  | | 
% 170.70/26.01  | | COMBINE_EQS: (1), (35) imply:
% 170.70/26.01  | |   (36)  all_52_4 = e0
% 170.70/26.01  | | 
% 170.70/26.01  | | COMBINE_EQS: (24), (36) imply:
% 170.70/26.01  | |   (37)  all_58_20 = e0
% 170.70/26.01  | | 
% 170.70/26.01  | | REDUCE: (17), (36) imply:
% 170.70/26.01  | |   (38)   ~ (all_52_7 = e0)
% 170.70/26.01  | | 
% 170.70/26.01  | | SIMP: (38) implies:
% 170.70/26.01  | |   (39)   ~ (all_52_7 = e0)
% 170.70/26.01  | | 
% 170.70/26.01  | | REDUCE: (5), (36) imply:
% 170.70/26.01  | |   (40)   ~ (all_4_2 = e0)
% 170.70/26.01  | | 
% 170.70/26.01  | | SIMP: (40) implies:
% 170.70/26.01  | |   (41)   ~ (all_4_2 = e0)
% 170.70/26.01  | | 
% 170.70/26.01  | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13), (14),
% 170.70/26.01  | |            (15), (16), (19), (21), (22), (25), (26), (27), (28), (29), (30),
% 170.70/26.01  | |            (31), (32), (33), (37), (39), (41) are inconsistent by sub-proof
% 170.70/26.01  | |            #97.
% 170.70/26.01  | | 
% 170.70/26.01  | Case 2:
% 170.70/26.01  | | 
% 170.70/26.01  | |   (42)  all_56_4 = e0 | all_56_9 = e0
% 170.70/26.01  | | 
% 170.70/26.01  | | REF_CLOSE: (15), (20), (23), (34), (42) are inconsistent by sub-proof #563.
% 170.70/26.01  | | 
% 170.70/26.01  | End of split
% 170.70/26.01  | 
% 170.70/26.01  End of proof
% 170.70/26.01  
% 170.70/26.01  Sub-proof #97 shows that the following formulas are inconsistent:
% 170.70/26.01  ----------------------------------------------------------------
% 170.70/26.01    (1)  op(all_4_2, e2) = e0
% 170.70/26.01    (2)   ~ (e3 = e1)
% 170.70/26.01    (3)  all_58_23 = all_52_7
% 170.70/26.01    (4)   ~ (all_14_2 = e1)
% 170.70/26.01    (5)  all_56_10 = e0
% 170.70/26.01    (6)  all_56_15 = all_14_2
% 170.70/26.01    (7)   ~ (all_14_2 = e0)
% 170.70/26.01    (8)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.70/26.01    (9)  all_58_31 = all_14_2
% 170.70/26.01    (10)  all_56_11 = all_52_14
% 170.70/26.01    (11)  all_58_30 = all_52_14
% 170.70/26.01    (12)  op(e2, all_4_2) = all_58_5
% 170.70/26.01    (13)  all_58_20 = e0
% 170.70/26.01    (14)  all_56_9 = all_52_12
% 170.70/26.01    (15)  op(e2, e2) = all_4_2
% 170.70/26.01    (16)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.70/26.01    (17)   ~ (e3 = e0)
% 170.70/26.01    (18)   ~ (all_4_2 = e0)
% 170.70/26.01    (19)   ~ (all_52_6 = all_52_14)
% 170.70/26.01    (20)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.70/26.01    (21)   ~ (all_52_7 = e0)
% 170.70/26.01    (22)   ~ (all_52_12 = all_52_14)
% 170.70/26.01    (23)  all_58_22 = all_52_6
% 170.70/26.01    (24)  all_58_29 = e0
% 170.70/26.01    (25)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.70/26.01            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.70/26.01    (26)  all_58_21 = all_4_2
% 170.70/26.01    (27)   ~ (e2 = e0)
% 170.70/26.01    (28)  all_58_28 = all_52_12
% 170.70/26.01    (29)   ~ (e1 = e0)
% 170.70/26.01  
% 170.70/26.01  Begin of proof
% 170.70/26.01  | 
% 170.70/26.01  | BETA: splitting (16) gives:
% 170.70/26.01  | 
% 170.70/26.01  | Case 1:
% 170.70/26.01  | | 
% 170.70/26.01  | |   (30)  all_56_9 = e1
% 170.70/26.01  | | 
% 170.70/26.01  | | REF_CLOSE: (2), (7), (8), (9), (11), (14), (22), (24), (27), (28), (30) are
% 170.70/26.01  | |            inconsistent by sub-proof #476.
% 170.70/26.01  | | 
% 170.70/26.01  | Case 2:
% 170.70/26.01  | | 
% 170.70/26.01  | |   (31)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.70/26.02  | | 
% 170.70/26.02  | | BETA: splitting (31) gives:
% 170.70/26.02  | | 
% 170.70/26.02  | | Case 1:
% 170.70/26.02  | | | 
% 170.70/26.02  | | |   (32)  all_56_10 = e1
% 170.70/26.02  | | | 
% 170.70/26.02  | | | COMBINE_EQS: (5), (32) imply:
% 170.70/26.02  | | |   (33)  e1 = e0
% 170.70/26.02  | | | 
% 170.70/26.02  | | | REDUCE: (29), (33) imply:
% 170.70/26.02  | | |   (34)  $false
% 170.70/26.02  | | | 
% 170.70/26.02  | | | CLOSE: (34) is inconsistent.
% 170.70/26.02  | | | 
% 170.70/26.02  | | Case 2:
% 170.70/26.02  | | | 
% 170.70/26.02  | | |   (35)  all_56_11 = e1 | all_56_15 = e1
% 170.70/26.02  | | | 
% 170.70/26.02  | | | BETA: splitting (35) gives:
% 170.70/26.02  | | | 
% 170.70/26.02  | | | Case 1:
% 170.70/26.02  | | | | 
% 170.70/26.02  | | | |   (36)  all_56_11 = e1
% 170.70/26.02  | | | | 
% 170.70/26.02  | | | | COMBINE_EQS: (10), (36) imply:
% 170.70/26.02  | | | |   (37)  all_52_14 = e1
% 170.70/26.02  | | | | 
% 170.70/26.02  | | | | SIMP: (37) implies:
% 170.70/26.02  | | | |   (38)  all_52_14 = e1
% 170.70/26.02  | | | | 
% 170.70/26.02  | | | | REDUCE: (19), (38) imply:
% 170.70/26.02  | | | |   (39)   ~ (all_52_6 = e1)
% 170.70/26.02  | | | | 
% 170.70/26.02  | | | | REF_CLOSE: (1), (3), (12), (13), (15), (17), (18), (20), (21), (23),
% 170.70/26.02  | | | |            (25), (26), (39) are inconsistent by sub-proof #98.
% 170.70/26.02  | | | | 
% 170.70/26.02  | | | Case 2:
% 170.70/26.02  | | | | 
% 170.70/26.02  | | | |   (40)  all_56_15 = e1
% 170.70/26.02  | | | | 
% 170.70/26.02  | | | | REF_CLOSE: (4), (6), (40) are inconsistent by sub-proof #876.
% 170.70/26.02  | | | | 
% 170.70/26.02  | | | End of split
% 170.70/26.02  | | | 
% 170.70/26.02  | | End of split
% 170.70/26.02  | | 
% 170.70/26.02  | End of split
% 170.70/26.02  | 
% 170.70/26.02  End of proof
% 170.70/26.02  
% 170.70/26.02  Sub-proof #98 shows that the following formulas are inconsistent:
% 170.70/26.02  ----------------------------------------------------------------
% 170.70/26.02    (1)  op(all_4_2, e2) = e0
% 170.70/26.02    (2)  all_58_23 = all_52_7
% 170.70/26.02    (3)   ~ (all_52_6 = e1)
% 170.70/26.02    (4)  op(e2, all_4_2) = all_58_5
% 170.70/26.02    (5)  all_58_20 = e0
% 170.70/26.02    (6)  op(e2, e2) = all_4_2
% 170.70/26.02    (7)   ~ (e3 = e0)
% 170.70/26.02    (8)   ~ (all_4_2 = e0)
% 170.70/26.02    (9)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.70/26.02    (10)   ~ (all_52_7 = e0)
% 170.70/26.02    (11)  all_58_22 = all_52_6
% 170.70/26.02    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.70/26.02            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.70/26.02    (13)  all_58_21 = all_4_2
% 170.70/26.02  
% 170.70/26.02  Begin of proof
% 170.70/26.02  | 
% 170.70/26.02  | BETA: splitting (9) gives:
% 170.70/26.02  | 
% 170.70/26.02  | Case 1:
% 170.70/26.02  | | 
% 170.70/26.02  | |   (14)  all_58_23 = e0
% 170.70/26.02  | | 
% 170.70/26.02  | | COMBINE_EQS: (2), (14) imply:
% 170.70/26.02  | |   (15)  all_52_7 = e0
% 170.70/26.02  | | 
% 170.70/26.02  | | REDUCE: (10), (15) imply:
% 170.70/26.02  | |   (16)  $false
% 170.70/26.02  | | 
% 170.70/26.02  | | CLOSE: (16) is inconsistent.
% 170.70/26.02  | | 
% 170.70/26.02  | Case 2:
% 170.70/26.02  | | 
% 170.70/26.02  | |   (17)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 170.70/26.02  | | 
% 170.70/26.02  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (11), (12), (13), (17) are
% 170.70/26.02  | |            inconsistent by sub-proof #122.
% 170.70/26.02  | | 
% 170.70/26.02  | End of split
% 170.70/26.02  | 
% 170.70/26.02  End of proof
% 170.70/26.02  
% 170.70/26.02  Sub-proof #99 shows that the following formulas are inconsistent:
% 170.70/26.02  ----------------------------------------------------------------
% 170.70/26.02    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 170.70/26.02    (2)  all_56_12 = all_52_3
% 170.70/26.02    (3)  all_58_23 = all_52_7
% 170.70/26.02    (4)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 170.70/26.02    (5)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.70/26.02    (6)  all_56_5 = all_52_9
% 170.70/26.02    (7)   ~ (all_52_12 = all_6_2)
% 170.70/26.02    (8)   ~ (all_52_6 = all_4_2)
% 170.70/26.02    (9)   ~ (all_14_2 = e0)
% 170.70/26.02    (10)   ~ (all_52_9 = all_4_2)
% 170.70/26.02    (11)   ~ (all_52_3 = all_52_7)
% 170.70/26.02    (12)  all_54_6 = all_52_9
% 170.70/26.02    (13)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.70/26.02    (14)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 170.70/26.02    (15)   ~ (all_52_9 = e0)
% 170.70/26.02    (16)  all_58_26 = all_10_2
% 170.70/26.02    (17)  all_58_31 = all_14_2
% 170.70/26.02    (18)   ~ (all_52_3 = all_6_2)
% 170.70/26.02    (19)  all_58_18 = e0
% 170.70/26.02    (20)   ~ (all_52_1 = all_6_2)
% 170.70/26.02    (21)   ~ (all_52_6 = all_52_7)
% 170.70/26.02    (22)  all_56_0 = all_6_2
% 170.70/26.02    (23)   ~ (all_52_3 = e2)
% 170.70/26.02    (24)  all_58_30 = all_52_14
% 170.70/26.02    (25)  all_58_17 = all_52_1
% 170.70/26.02    (26)  all_58_20 = e0
% 170.70/26.02    (27)  all_58_19 = all_52_3
% 170.70/26.02    (28)   ~ (e3 = e2)
% 170.70/26.02    (29)   ~ (all_52_6 = all_10_2)
% 170.70/26.02    (30)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 170.70/26.02    (31)  all_56_1 = e0
% 170.70/26.02    (32)   ~ (all_52_1 = all_4_2)
% 170.70/26.02    (33)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.70/26.02    (34)   ~ (all_52_13 = all_52_14)
% 170.70/26.02    (35)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.70/26.02    (36)  all_58_16 = all_6_2
% 170.70/26.02    (37)  all_56_13 = all_52_7
% 170.70/26.02    (38)   ~ (all_52_12 = e0)
% 170.70/26.02    (39)  all_56_2 = all_52_1
% 170.70/26.02    (40)   ~ (e3 = e0)
% 170.70/26.02    (41)  all_58_29 = all_52_13
% 170.70/26.02    (42)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 170.70/26.02    (43)   ~ (all_4_2 = e0)
% 170.70/26.02    (44)   ~ (all_52_6 = all_52_14)
% 170.70/26.02    (45)   ~ (all_52_7 = all_4_2)
% 170.70/26.02    (46)   ~ (all_52_1 = all_52_9)
% 170.70/26.02    (47)  all_56_6 = e0
% 170.70/26.02    (48)   ~ (all_52_7 = e0)
% 170.70/26.02    (49)  all_58_22 = all_52_6
% 170.70/26.02    (50)  all_58_27 = e0
% 170.70/26.02    (51)  all_56_3 = all_4_2
% 170.70/26.02    (52)  all_54_0 = all_6_2
% 170.70/26.02    (53)  all_58_29 = e0
% 170.70/26.02    (54)   ~ (all_52_1 = e0)
% 170.70/26.02    (55)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 170.70/26.02    (56)  all_58_25 = all_52_9
% 170.70/26.02    (57)   ~ (all_52_6 = e0)
% 170.70/26.02    (58)  all_58_21 = all_4_2
% 170.70/26.02    (59)  all_56_10 = all_52_13
% 170.70/26.02    (60)   ~ (all_52_3 = e0)
% 170.70/26.02    (61)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 170.70/26.02    (62)   ~ (e2 = e0)
% 170.70/26.02    (63)   ~ (all_52_14 = e0)
% 170.70/26.02    (64)  all_58_28 = all_52_12
% 170.70/26.02    (65)   ~ (e1 = e0)
% 170.70/26.02    (66)  all_56_7 = all_52_6
% 170.70/26.02    (67)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 170.70/26.02    (68)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.70/26.02          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.70/26.02          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.70/26.02          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.70/26.02          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.70/26.02          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.70/26.02          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.70/26.02          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.70/26.02          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.70/26.02          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.70/26.02            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.70/26.02            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.70/26.02            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.70/26.02            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.70/26.02            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.70/26.02            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.70/26.02            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.70/26.02            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.70/26.02            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.70/26.02            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.70/26.02            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.70/26.02            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.70/26.02            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.70/26.02            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.70/26.02            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.70/26.02            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.70/26.02          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.70/26.02          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.70/26.02          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.70/26.02            all_58_30 = e0 & e1 = e0)
% 170.70/26.02  
% 170.70/26.02  Begin of proof
% 170.70/26.02  | 
% 170.70/26.02  | BETA: splitting (35) gives:
% 170.70/26.02  | 
% 170.70/26.02  | Case 1:
% 170.70/26.02  | | 
% 170.70/26.02  | |   (69)  all_56_0 = e2
% 170.70/26.02  | | 
% 170.70/26.02  | | REF_CLOSE: (5), (19), (20), (22), (25), (27), (28), (36), (60), (65), (69)
% 170.70/26.02  | |            are inconsistent by sub-proof #907.
% 170.70/26.02  | | 
% 170.70/26.02  | Case 2:
% 170.70/26.02  | | 
% 170.70/26.02  | |   (70)  all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.70/26.02  | | 
% 170.70/26.02  | | BETA: splitting (70) gives:
% 170.70/26.02  | | 
% 170.70/26.02  | | Case 1:
% 170.70/26.02  | | | 
% 170.70/26.02  | | |   (71)  all_56_2 = e2
% 170.70/26.02  | | | 
% 170.70/26.02  | | | COMBINE_EQS: (39), (71) imply:
% 170.70/26.02  | | |   (72)  all_52_1 = e2
% 170.70/26.02  | | | 
% 170.70/26.02  | | | REDUCE: (32), (72) imply:
% 170.70/26.02  | | |   (73)   ~ (all_4_2 = e2)
% 170.70/26.02  | | | 
% 170.70/26.02  | | | SIMP: (73) implies:
% 170.70/26.02  | | |   (74)   ~ (all_4_2 = e2)
% 170.70/26.02  | | | 
% 170.70/26.02  | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 170.70/26.02  | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (24),
% 170.70/26.02  | | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 170.70/26.02  | | |            (36), (37), (38), (39), (40), (41), (42), (43), (44), (45),
% 170.70/26.02  | | |            (46), (47), (48), (49), (50), (51), (52), (53), (54), (55),
% 170.70/26.02  | | |            (56), (57), (58), (59), (60), (61), (62), (63), (64), (66),
% 170.70/26.02  | | |            (67), (68), (71), (74) are inconsistent by sub-proof #100.
% 170.70/26.02  | | | 
% 170.70/26.02  | | Case 2:
% 170.70/26.02  | | | 
% 170.70/26.02  | | |   (75)  all_56_6 = e2 | all_56_12 = e2
% 170.70/26.02  | | | 
% 170.70/26.02  | | | REF_CLOSE: (2), (23), (47), (62), (75) are inconsistent by sub-proof #199.
% 170.70/26.02  | | | 
% 170.70/26.02  | | End of split
% 170.70/26.02  | | 
% 170.70/26.02  | End of split
% 170.70/26.02  | 
% 170.70/26.02  End of proof
% 170.70/26.02  
% 170.70/26.02  Sub-proof #100 shows that the following formulas are inconsistent:
% 170.70/26.02  ----------------------------------------------------------------
% 170.70/26.02    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 170.70/26.02    (2)  all_56_12 = all_52_3
% 170.70/26.02    (3)  all_58_23 = all_52_7
% 170.70/26.02    (4)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 170.70/26.02    (5)  all_56_5 = all_52_9
% 170.70/26.02    (6)   ~ (all_52_12 = all_6_2)
% 170.70/26.02    (7)   ~ (all_52_6 = all_4_2)
% 170.70/26.02    (8)   ~ (all_14_2 = e0)
% 170.70/26.02    (9)   ~ (all_52_9 = all_4_2)
% 170.70/26.02    (10)   ~ (all_52_3 = all_52_7)
% 170.70/26.02    (11)  all_54_6 = all_52_9
% 170.70/26.02    (12)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.70/26.02    (13)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 170.70/26.02    (14)   ~ (all_52_9 = e0)
% 170.70/26.02    (15)  all_58_26 = all_10_2
% 170.70/26.02    (16)  all_58_31 = all_14_2
% 170.70/26.02    (17)   ~ (all_52_3 = all_6_2)
% 170.70/26.02    (18)  all_58_18 = e0
% 170.70/26.02    (19)   ~ (all_52_1 = all_6_2)
% 170.70/26.02    (20)   ~ (all_52_6 = all_52_7)
% 170.70/26.02    (21)  all_56_0 = all_6_2
% 170.70/26.02    (22)  all_58_30 = all_52_14
% 170.70/26.02    (23)  all_58_17 = all_52_1
% 170.70/26.02    (24)  all_58_20 = e0
% 170.70/26.02    (25)  all_58_19 = all_52_3
% 170.70/26.02    (26)   ~ (e3 = e2)
% 170.70/26.02    (27)   ~ (all_52_6 = all_10_2)
% 170.70/26.02    (28)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 170.70/26.02    (29)  all_56_1 = e0
% 170.70/26.02    (30)   ~ (all_52_1 = all_4_2)
% 170.70/26.02    (31)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.70/26.02    (32)   ~ (all_52_13 = all_52_14)
% 170.70/26.02    (33)  all_58_16 = all_6_2
% 170.70/26.02    (34)  all_56_13 = all_52_7
% 170.70/26.02    (35)   ~ (all_52_12 = e0)
% 170.70/26.02    (36)  all_56_2 = all_52_1
% 170.70/26.02    (37)   ~ (e3 = e0)
% 170.70/26.02    (38)  all_58_29 = all_52_13
% 170.70/26.02    (39)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 170.70/26.02    (40)   ~ (all_4_2 = e0)
% 170.70/26.02    (41)   ~ (all_52_6 = all_52_14)
% 170.70/26.02    (42)   ~ (all_52_7 = all_4_2)
% 170.70/26.02    (43)  all_56_2 = e2
% 170.70/26.02    (44)   ~ (all_52_1 = all_52_9)
% 170.70/26.02    (45)  all_56_6 = e0
% 170.70/26.02    (46)   ~ (all_52_7 = e0)
% 170.70/26.02    (47)  all_58_22 = all_52_6
% 170.70/26.02    (48)  all_58_27 = e0
% 170.70/26.02    (49)  all_56_3 = all_4_2
% 170.70/26.02    (50)  all_54_0 = all_6_2
% 170.70/26.02    (51)  all_58_29 = e0
% 170.70/26.02    (52)   ~ (all_52_1 = e0)
% 170.70/26.02    (53)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 170.70/26.02    (54)  all_58_25 = all_52_9
% 170.70/26.02    (55)   ~ (all_52_6 = e0)
% 170.70/26.02    (56)  all_58_21 = all_4_2
% 170.70/26.02    (57)  all_56_10 = all_52_13
% 170.70/26.02    (58)   ~ (all_52_3 = e0)
% 170.70/26.02    (59)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 170.70/26.02    (60)   ~ (e2 = e0)
% 170.70/26.02    (61)   ~ (all_52_14 = e0)
% 170.70/26.02    (62)  all_58_28 = all_52_12
% 170.70/26.02    (63)  all_56_7 = all_52_6
% 170.70/26.02    (64)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 170.70/26.02    (65)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.70/26.02          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.70/26.02          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.70/26.02          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.70/26.02          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.70/26.02          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.70/26.02          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.70/26.02          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.70/26.02          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.70/26.02          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.70/26.02            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.70/26.02            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.70/26.02            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.70/26.02            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.70/26.02            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.70/26.02            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.70/26.02            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.70/26.02            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.70/26.02            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.70/26.02            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.70/26.02            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.70/26.02            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.70/26.02            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.70/26.02            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.70/26.02            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.70/26.02            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.70/26.02          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.70/26.02          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.70/26.02          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.70/26.02            all_58_30 = e0 & e1 = e0)
% 170.70/26.02    (66)   ~ (all_4_2 = e2)
% 170.70/26.02  
% 170.70/26.02  Begin of proof
% 170.70/26.02  | 
% 170.70/26.02  | BETA: splitting (1) gives:
% 170.70/26.02  | 
% 170.70/26.02  | Case 1:
% 170.70/26.02  | | 
% 170.70/26.02  | |   (67)  all_58_22 = e1
% 170.70/26.02  | | 
% 170.70/26.02  | | COMBINE_EQS: (47), (67) imply:
% 170.70/26.02  | |   (68)  all_52_6 = e1
% 170.70/26.02  | | 
% 170.70/26.02  | | REDUCE: (41), (68) imply:
% 170.70/26.02  | |   (69)   ~ (all_52_14 = e1)
% 170.70/26.02  | | 
% 170.70/26.02  | | SIMP: (69) implies:
% 170.70/26.02  | |   (70)   ~ (all_52_14 = e1)
% 170.70/26.02  | | 
% 170.70/26.02  | | REDUCE: (55), (68) imply:
% 170.70/26.02  | |   (71)   ~ (e1 = e0)
% 170.70/26.02  | | 
% 170.70/26.02  | | BETA: splitting (13) gives:
% 170.70/26.02  | | 
% 170.70/26.02  | | Case 1:
% 170.70/26.02  | | | 
% 170.70/26.02  | | |   (72)  all_58_30 = e1
% 170.70/26.02  | | | 
% 170.70/26.02  | | | COMBINE_EQS: (22), (72) imply:
% 170.70/26.02  | | |   (73)  all_52_14 = e1
% 170.70/26.02  | | | 
% 170.70/26.02  | | | REDUCE: (70), (73) imply:
% 170.70/26.02  | | |   (74)  $false
% 170.70/26.02  | | | 
% 170.70/26.02  | | | CLOSE: (74) is inconsistent.
% 170.70/26.02  | | | 
% 170.70/26.02  | | Case 2:
% 170.70/26.02  | | | 
% 170.70/26.02  | | |   (75)  all_58_28 = e3 | all_58_29 = e2
% 170.70/26.02  | | | 
% 170.70/26.02  | | | BETA: splitting (75) gives:
% 170.70/26.02  | | | 
% 170.70/26.02  | | | Case 1:
% 170.70/26.02  | | | | 
% 170.70/26.02  | | | |   (76)  all_58_29 = e2
% 170.70/26.02  | | | | 
% 170.70/26.02  | | | | REF_CLOSE: (51), (60), (76) are inconsistent by sub-proof #889.
% 170.70/26.02  | | | | 
% 170.70/26.02  | | | Case 2:
% 170.70/26.02  | | | | 
% 170.70/26.02  | | | |   (77)  all_58_28 = e3
% 170.70/26.02  | | | | 
% 170.70/26.02  | | | | COMBINE_EQS: (62), (77) imply:
% 170.70/26.02  | | | |   (78)  all_52_12 = e3
% 170.70/26.02  | | | | 
% 170.70/26.02  | | | | REDUCE: (6), (78) imply:
% 170.70/26.02  | | | |   (79)   ~ (all_6_2 = e3)
% 170.70/26.02  | | | | 
% 170.70/26.02  | | | | SIMP: (79) implies:
% 170.70/26.02  | | | |   (80)   ~ (all_6_2 = e3)
% 170.70/26.02  | | | | 
% 170.70/26.02  | | | | BETA: splitting (12) gives:
% 170.70/26.02  | | | | 
% 170.70/26.02  | | | | Case 1:
% 170.70/26.02  | | | | | 
% 170.70/26.02  | | | | |   (81)  all_56_0 = e3
% 170.70/26.02  | | | | | 
% 170.70/26.02  | | | | | REF_CLOSE: (21), (80), (81) are inconsistent by sub-proof #333.
% 170.70/26.02  | | | | | 
% 170.70/26.02  | | | | Case 2:
% 170.70/26.02  | | | | | 
% 170.70/26.02  | | | | |   (82)  all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.70/26.02  | | | | | 
% 170.70/26.02  | | | | | BETA: splitting (82) gives:
% 170.70/26.02  | | | | | 
% 170.70/26.02  | | | | | Case 1:
% 170.70/26.02  | | | | | | 
% 170.70/26.02  | | | | | |   (83)  all_56_2 = e3
% 170.70/26.02  | | | | | | 
% 170.70/26.02  | | | | | | COMBINE_EQS: (43), (83) imply:
% 170.70/26.02  | | | | | |   (84)  e3 = e2
% 170.70/26.02  | | | | | | 
% 170.70/26.02  | | | | | | REDUCE: (26), (84) imply:
% 170.70/26.02  | | | | | |   (85)  $false
% 170.70/26.02  | | | | | | 
% 170.70/26.02  | | | | | | CLOSE: (85) is inconsistent.
% 170.70/26.02  | | | | | | 
% 170.70/26.02  | | | | | Case 2:
% 170.70/26.02  | | | | | | 
% 170.70/26.02  | | | | | |   (86)  all_56_6 = e3 | all_56_12 = e3
% 170.70/26.02  | | | | | | 
% 170.70/26.02  | | | | | | BETA: splitting (86) gives:
% 170.70/26.02  | | | | | | 
% 170.70/26.02  | | | | | | Case 1:
% 170.70/26.02  | | | | | | | 
% 170.70/26.02  | | | | | | |   (87)  all_56_6 = e3
% 170.70/26.02  | | | | | | | 
% 170.70/26.02  | | | | | | | COMBINE_EQS: (45), (87) imply:
% 170.70/26.02  | | | | | | |   (88)  e3 = e0
% 170.70/26.02  | | | | | | | 
% 170.70/26.02  | | | | | | | REDUCE: (37), (88) imply:
% 170.70/26.02  | | | | | | |   (89)  $false
% 170.70/26.02  | | | | | | | 
% 170.70/26.02  | | | | | | | CLOSE: (89) is inconsistent.
% 170.70/26.02  | | | | | | | 
% 170.70/26.02  | | | | | | Case 2:
% 170.70/26.02  | | | | | | | 
% 170.70/26.02  | | | | | | |   (90)  all_56_12 = e3
% 170.70/26.02  | | | | | | | 
% 170.70/26.02  | | | | | | | COMBINE_EQS: (2), (90) imply:
% 170.70/26.02  | | | | | | |   (91)  all_52_3 = e3
% 170.70/26.02  | | | | | | | 
% 170.70/26.02  | | | | | | | SIMP: (91) implies:
% 170.70/26.02  | | | | | | |   (92)  all_52_3 = e3
% 170.70/26.02  | | | | | | | 
% 170.70/26.02  | | | | | | | COMBINE_EQS: (25), (92) imply:
% 170.70/26.02  | | | | | | |   (93)  all_58_19 = e3
% 170.70/26.02  | | | | | | | 
% 170.70/26.02  | | | | | | | REDUCE: (10), (92) imply:
% 170.70/26.02  | | | | | | |   (94)   ~ (all_52_7 = e3)
% 170.70/26.02  | | | | | | | 
% 170.70/26.02  | | | | | | | SIMP: (94) implies:
% 170.70/26.02  | | | | | | |   (95)   ~ (all_52_7 = e3)
% 170.70/26.02  | | | | | | | 
% 170.70/26.02  | | | | | | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (9), (11), (13), (14),
% 170.70/26.02  | | | | | | |            (15), (16), (18), (19), (20), (21), (22), (23), (24),
% 170.70/26.02  | | | | | | |            (27), (28), (29), (30), (31), (32), (33), (34), (36),
% 170.70/26.02  | | | | | | |            (37), (38), (39), (40), (42), (44), (46), (47), (48),
% 170.70/26.02  | | | | | | |            (49), (50), (51), (52), (53), (54), (56), (57), (59),
% 170.70/26.02  | | | | | | |            (61), (62), (63), (64), (65), (71), (80), (93), (95)
% 170.70/26.02  | | | | | | |            are inconsistent by sub-proof #340.
% 170.70/26.02  | | | | | | | 
% 170.70/26.02  | | | | | | End of split
% 170.70/26.02  | | | | | | 
% 170.70/26.02  | | | | | End of split
% 170.70/26.02  | | | | | 
% 170.70/26.02  | | | | End of split
% 170.70/26.02  | | | | 
% 170.70/26.02  | | | End of split
% 170.70/26.02  | | | 
% 170.70/26.02  | | End of split
% 170.70/26.02  | | 
% 170.70/26.02  | Case 2:
% 170.70/26.02  | | 
% 170.70/26.02  | |   (96)  all_58_20 = e3 | all_58_21 = e2
% 170.70/26.02  | | 
% 170.70/26.02  | | REF_CLOSE: (24), (37), (56), (66), (96) are inconsistent by sub-proof #974.
% 170.70/26.02  | | 
% 170.70/26.02  | End of split
% 170.70/26.02  | 
% 170.70/26.02  End of proof
% 170.70/26.02  
% 170.70/26.02  Sub-proof #101 shows that the following formulas are inconsistent:
% 170.70/26.02  ----------------------------------------------------------------
% 170.70/26.02    (1)   ~ (all_52_12 = all_14_2)
% 170.70/26.02    (2)  all_56_1 = all_52_4
% 170.70/26.02    (3)  op(all_4_2, e2) = e0
% 170.70/26.02    (4)  all_56_12 = all_52_3
% 170.70/26.02    (5)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 170.70/26.02    (6)  op(e1, all_52_14) = all_58_11
% 170.70/26.02    (7)   ~ (all_10_2 = e0)
% 170.70/26.02    (8)   ~ (all_52_8 = all_52_12)
% 170.70/26.02    (9)   ~ (e3 = e1)
% 170.70/26.02    (10)  all_58_23 = all_52_7
% 170.70/26.02    (11)  all_44_0 = all_4_0
% 170.70/26.02    (12)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 170.70/26.02    (13)   ~ (all_52_2 = all_6_2)
% 170.70/26.02    (14)   ~ (all_52_3 = all_14_2)
% 170.70/26.02    (15)   ~ (all_52_4 = all_4_2)
% 170.70/26.02    (16)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.70/26.02    (17)  all_54_3 = all_52_12
% 170.70/26.02    (18)  all_56_5 = all_52_9
% 170.70/26.02    (19)   ~ (all_52_3 = all_52_11)
% 170.70/26.02    (20)   ~ (all_52_12 = all_6_2)
% 170.70/26.02    (21)   ~ (all_52_6 = all_4_2)
% 170.70/26.02    (22)  op(e1, e0) = all_52_14
% 170.70/26.02    (23)  all_56_15 = all_14_2
% 170.70/26.02    (24)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 170.70/26.02    (25)   ~ (all_52_3 = all_52_7)
% 170.70/26.02    (26)  all_56_14 = all_52_11
% 170.70/26.02    (27)   ~ (all_52_13 = all_4_2)
% 170.70/26.02    (28)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.70/26.02    (29)  op(e0, all_52_3) = all_58_12
% 170.70/26.02    (30)  all_56_8 = all_10_2
% 170.70/26.02    (31)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.70/26.02    (32)  all_58_26 = all_10_2
% 170.70/26.02    (33)   ~ (all_52_4 = all_52_6)
% 170.70/26.02    (34)  all_58_31 = all_14_2
% 170.70/26.02    (35)   ~ (all_52_11 = all_10_2)
% 170.70/26.02    (36)   ~ (all_52_3 = all_6_2)
% 170.70/26.02    (37)   ~ (all_52_1 = all_6_2)
% 170.70/26.02    (38)  all_54_2 = all_52_8
% 170.70/26.02    (39)  all_56_11 = all_52_14
% 170.70/26.02    (40)   ~ (all_52_6 = all_52_7)
% 170.70/26.02    (41)  all_56_0 = all_6_2
% 170.70/26.02    (42)   ~ (all_52_9 = all_10_2)
% 170.70/26.02    (43)  all_58_30 = all_52_14
% 170.70/26.02    (44)  all_58_27 = all_52_11
% 170.70/26.02    (45)  all_58_17 = all_52_1
% 170.70/26.02    (46)  op(e3, e1) = all_52_8
% 170.70/26.02    (47)  op(e2, all_4_2) = all_58_5
% 170.70/26.02    (48)  all_58_19 = all_52_3
% 170.70/26.02    (49)  all_56_9 = all_52_12
% 170.70/26.02    (50)   ~ (all_52_2 = all_52_6)
% 170.70/26.02    (51)  op(e2, e2) = all_4_2
% 170.70/26.02    (52)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.70/26.02    (53)   ~ (e3 = e2)
% 170.70/26.02    (54)  op(e3, all_52_8) = all_58_2
% 170.70/26.02    (55)   ~ (all_52_4 = all_52_7)
% 170.70/26.02    (56)   ~ (all_52_6 = all_10_2)
% 170.70/26.02    (57)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 170.70/26.02    (58)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 170.70/26.02    (59)   ~ (all_52_2 = e0)
% 170.70/26.02    (60)   ~ (all_52_7 = all_14_2)
% 170.70/26.02    (61)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 170.70/26.02    (62)   ~ (all_52_13 = all_14_2)
% 170.70/26.02    (63)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.70/26.02    (64)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.70/26.02    (65)   ~ (all_52_13 = all_52_14)
% 170.70/26.02    (66)  all_58_18 = all_52_2
% 170.70/26.02    (67)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.70/26.02    (68)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 170.70/26.02    (69)  all_58_16 = all_6_2
% 170.70/26.02    (70)  all_56_13 = all_52_7
% 170.70/26.02    (71)  op(e0, e3) = all_52_3
% 170.70/26.02    (72)   ~ (all_52_4 = all_6_2)
% 170.70/26.02    (73)  all_56_2 = all_52_1
% 170.70/26.02    (74)   ~ (e3 = e0)
% 170.70/26.02    (75)  all_58_29 = all_52_13
% 170.70/26.02    (76)  op(e0, all_4_2) = all_4_0
% 170.70/26.02    (77)   ~ (all_52_6 = all_52_14)
% 170.70/26.02    (78)   ~ (all_52_7 = all_4_2)
% 170.70/26.02    (79)   ~ (all_52_8 = all_10_2)
% 170.70/26.02    (80)  all_56_4 = all_52_8
% 170.70/26.02    (81)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 170.70/26.02    (82)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 170.70/26.02    (83)  all_58_20 = all_52_4
% 170.70/26.02    (84)  all_54_10 = all_10_2
% 170.70/26.02    (85)  all_54_13 = all_52_7
% 170.70/26.02    (86)  all_54_15 = all_14_2
% 170.70/26.02    (87)  all_44_2 = all_4_2
% 170.70/26.02    (88)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 170.70/26.02    (89)   ~ (all_44_0 = e1) |  ~ (all_44_2 = e3)
% 170.70/26.02    (90)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.70/26.02    (91)   ~ (all_52_8 = all_52_11)
% 170.70/26.02    (92)   ~ (all_52_8 = all_6_2)
% 170.70/26.02    (93)  all_56_6 = all_52_2
% 170.70/26.02    (94)   ~ (all_52_1 = all_52_9)
% 170.70/26.02    (95)   ~ (all_52_12 = all_52_14)
% 170.70/26.02    (96)  all_58_22 = all_52_6
% 170.70/26.02    (97)  all_56_3 = all_4_2
% 170.70/26.02    (98)  all_54_0 = all_6_2
% 170.70/26.02    (99)   ~ (all_52_14 = all_10_2)
% 170.70/26.02    (100)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 170.70/26.02    (101)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 170.70/26.02    (102)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 170.70/26.02    (103)   ~ (all_52_2 = all_52_3)
% 170.70/26.02    (104)   ~ (all_52_4 = all_52_8)
% 170.70/26.02    (105)   ~ (all_52_14 = all_14_2)
% 170.70/26.02    (106)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.70/26.02             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.70/26.02    (107)  all_54_12 = all_52_3
% 170.70/26.02    (108)   ~ (all_52_2 = all_52_14)
% 170.70/26.02    (109)  op(e0, all_14_2) = all_58_15
% 170.70/26.02    (110)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 170.70/26.02    (111)  all_58_21 = all_4_2
% 170.70/26.02    (112)  all_56_10 = all_52_13
% 170.70/26.02    (113)   ~ (all_52_3 = e0)
% 170.70/26.02    (114)   ~ (e2 = e0)
% 170.70/26.02    (115)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 170.70/26.02    (116)  all_58_28 = all_52_12
% 170.70/26.02    (117)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 170.70/26.02    (118)   ~ (e1 = e0)
% 170.70/26.02    (119)  all_56_7 = all_52_6
% 170.70/26.02    (120)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 170.70/26.02             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 170.70/26.02             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 170.70/26.02             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 170.70/26.02             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 170.70/26.02             (all_58_15 = e0))
% 170.70/26.02    (121)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 170.70/26.03    (122)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.70/26.03           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.70/26.03           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.70/26.03           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.70/26.03           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.70/26.03           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.70/26.03           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.70/26.03           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.70/26.03           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.70/26.03           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.70/26.03             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.70/26.03             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.70/26.03             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.70/26.03             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.70/26.03             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.70/26.03             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.70/26.03             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.70/26.03             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.70/26.03             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.70/26.03             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.70/26.03             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.70/26.03             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.70/26.03             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.70/26.03             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.70/26.03             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.70/26.03             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.70/26.03           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.70/26.03           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.70/26.03           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.70/26.03             all_58_30 = e0 & e1 = e0)
% 170.70/26.03    (123)   ~ (all_52_2 = all_10_2)
% 170.70/26.03    (124)  all_56_0 = e3 | all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3
% 170.70/26.03    (125)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 170.70/26.03    (126)   ~ (all_52_12 = all_52_13)
% 170.70/26.03  
% 170.70/26.03  Begin of proof
% 170.70/26.03  | 
% 170.70/26.03  | BETA: splitting (12) gives:
% 170.70/26.03  | 
% 170.70/26.03  | Case 1:
% 170.70/26.03  | | 
% 170.70/26.03  | |   (127)  all_56_2 = e0
% 170.70/26.03  | | 
% 170.70/26.03  | | COMBINE_EQS: (73), (127) imply:
% 170.70/26.03  | |   (128)  all_52_1 = e0
% 170.70/26.03  | | 
% 170.70/26.03  | | COMBINE_EQS: (45), (128) imply:
% 170.70/26.03  | |   (129)  all_58_17 = e0
% 170.70/26.03  | | 
% 170.70/26.03  | | REDUCE: (94), (128) imply:
% 170.70/26.03  | |   (130)   ~ (all_52_9 = e0)
% 170.70/26.03  | | 
% 170.70/26.03  | | SIMP: (130) implies:
% 170.70/26.03  | |   (131)   ~ (all_52_9 = e0)
% 170.70/26.03  | | 
% 170.70/26.03  | | BETA: splitting (102) gives:
% 170.70/26.03  | | 
% 170.70/26.03  | | Case 1:
% 170.70/26.03  | | | 
% 170.70/26.03  | | |   (132)  all_56_5 = e0
% 170.70/26.03  | | | 
% 170.70/26.03  | | | COMBINE_EQS: (18), (132) imply:
% 170.70/26.03  | | |   (133)  all_52_9 = e0
% 170.70/26.03  | | | 
% 170.70/26.03  | | | REDUCE: (131), (133) imply:
% 170.70/26.03  | | |   (134)  $false
% 170.70/26.03  | | | 
% 170.70/26.03  | | | CLOSE: (134) is inconsistent.
% 170.70/26.03  | | | 
% 170.70/26.03  | | Case 2:
% 170.70/26.03  | | | 
% 170.70/26.03  | | |   (135)  all_56_8 = e0 | all_56_14 = e0
% 170.70/26.03  | | | 
% 170.70/26.03  | | | BETA: splitting (135) gives:
% 170.70/26.03  | | | 
% 170.70/26.03  | | | Case 1:
% 170.70/26.03  | | | | 
% 170.70/26.03  | | | |   (136)  all_56_8 = e0
% 170.70/26.03  | | | | 
% 170.70/26.03  | | | | COMBINE_EQS: (30), (136) imply:
% 170.70/26.03  | | | |   (137)  all_10_2 = e0
% 170.70/26.03  | | | | 
% 170.70/26.03  | | | | REDUCE: (7), (137) imply:
% 170.70/26.03  | | | |   (138)  $false
% 170.70/26.03  | | | | 
% 170.70/26.03  | | | | CLOSE: (138) is inconsistent.
% 170.70/26.03  | | | | 
% 170.70/26.03  | | | Case 2:
% 170.70/26.03  | | | | 
% 170.70/26.03  | | | |   (139)  all_56_14 = e0
% 170.70/26.03  | | | | 
% 170.70/26.03  | | | | COMBINE_EQS: (26), (139) imply:
% 170.70/26.03  | | | |   (140)  all_52_11 = e0
% 170.70/26.03  | | | | 
% 170.70/26.03  | | | | SIMP: (140) implies:
% 170.70/26.03  | | | |   (141)  all_52_11 = e0
% 170.70/26.03  | | | | 
% 170.70/26.03  | | | | COMBINE_EQS: (44), (141) imply:
% 170.70/26.03  | | | |   (142)  all_58_27 = e0
% 170.70/26.03  | | | | 
% 170.70/26.03  | | | | REDUCE: (91), (141) imply:
% 170.70/26.03  | | | |   (143)   ~ (all_52_8 = e0)
% 170.70/26.03  | | | | 
% 170.70/26.03  | | | | REDUCE: (35), (141) imply:
% 170.70/26.03  | | | |   (144)   ~ (all_10_2 = e0)
% 170.70/26.03  | | | | 
% 170.70/26.03  | | | | BETA: splitting (68) gives:
% 170.70/26.03  | | | | 
% 170.70/26.03  | | | | Case 1:
% 170.70/26.03  | | | | | 
% 170.70/26.03  | | | | |   (145)  all_56_1 = e0
% 170.70/26.03  | | | | | 
% 170.70/26.03  | | | | | COMBINE_EQS: (2), (145) imply:
% 170.70/26.03  | | | | |   (146)  all_52_4 = e0
% 170.70/26.03  | | | | | 
% 170.70/26.03  | | | | | COMBINE_EQS: (83), (146) imply:
% 170.70/26.03  | | | | |   (147)  all_58_20 = e0
% 170.70/26.03  | | | | | 
% 170.70/26.03  | | | | | REDUCE: (33), (146) imply:
% 170.70/26.03  | | | | |   (148)   ~ (all_52_6 = e0)
% 170.70/26.03  | | | | | 
% 170.70/26.03  | | | | | SIMP: (148) implies:
% 170.70/26.03  | | | | |   (149)   ~ (all_52_6 = e0)
% 170.70/26.03  | | | | | 
% 170.70/26.03  | | | | | REDUCE: (55), (146) imply:
% 170.70/26.03  | | | | |   (150)   ~ (all_52_7 = e0)
% 170.70/26.03  | | | | | 
% 170.70/26.03  | | | | | SIMP: (150) implies:
% 170.70/26.03  | | | | |   (151)   ~ (all_52_7 = e0)
% 170.70/26.03  | | | | | 
% 170.70/26.03  | | | | | REDUCE: (104), (146) imply:
% 170.70/26.03  | | | | |   (152)   ~ (all_52_8 = e0)
% 170.70/26.03  | | | | | 
% 170.70/26.03  | | | | | REDUCE: (72), (146) imply:
% 170.70/26.03  | | | | |   (153)   ~ (all_6_2 = e0)
% 170.70/26.03  | | | | | 
% 170.70/26.03  | | | | | SIMP: (153) implies:
% 170.70/26.03  | | | | |   (154)   ~ (all_6_2 = e0)
% 170.70/26.03  | | | | | 
% 170.70/26.03  | | | | | REDUCE: (15), (146) imply:
% 170.70/26.03  | | | | |   (155)   ~ (all_4_2 = e0)
% 170.70/26.03  | | | | | 
% 170.70/26.03  | | | | | SIMP: (155) implies:
% 170.70/26.03  | | | | |   (156)   ~ (all_4_2 = e0)
% 170.70/26.03  | | | | | 
% 170.70/26.03  | | | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (10), (11), (13), (14),
% 170.70/26.03  | | | | |            (16), (17), (18), (20), (22), (24), (27), (28), (29), (30),
% 170.70/26.03  | | | | |            (31), (34), (36), (38), (39), (40), (41), (42), (43), (46),
% 170.70/26.03  | | | | |            (47), (48), (49), (50), (51), (52), (53), (54), (56), (60),
% 170.70/26.03  | | | | |            (61), (62), (63), (65), (66), (67), (69), (70), (71), (74),
% 170.70/26.03  | | | | |            (75), (76), (79), (80), (81), (82), (84), (86), (87), (88),
% 170.70/26.03  | | | | |            (89), (90), (92), (93), (95), (96), (97), (98), (99),
% 170.70/26.03  | | | | |            (100), (101), (103), (105), (106), (107), (108), (109),
% 170.70/26.03  | | | | |            (111), (112), (113), (114), (116), (117), (118), (119),
% 170.70/26.03  | | | | |            (120), (121), (125), (126), (127), (129), (143), (145),
% 170.70/26.03  | | | | |            (147), (149), (151), (154), (156) are inconsistent by
% 170.70/26.03  | | | | |            sub-proof #106.
% 170.70/26.03  | | | | | 
% 170.70/26.03  | | | | Case 2:
% 170.70/26.03  | | | | | 
% 170.70/26.03  | | | | |   (157)   ~ (all_56_1 = e0)
% 170.70/26.03  | | | | | 
% 170.70/26.03  | | | | | REDUCE: (2), (157) imply:
% 170.70/26.03  | | | | |   (158)   ~ (all_52_4 = e0)
% 170.70/26.03  | | | | | 
% 170.70/26.03  | | | | | BETA: splitting (57) gives:
% 170.70/26.03  | | | | | 
% 170.70/26.03  | | | | | Case 1:
% 170.70/26.03  | | | | | | 
% 170.70/26.03  | | | | | |   (159)  all_56_1 = e0
% 170.70/26.03  | | | | | | 
% 170.70/26.03  | | | | | | COMBINE_EQS: (2), (159) imply:
% 170.70/26.03  | | | | | |   (160)  all_52_4 = e0
% 170.70/26.03  | | | | | | 
% 170.70/26.03  | | | | | | REDUCE: (158), (160) imply:
% 170.70/26.03  | | | | | |   (161)  $false
% 170.70/26.03  | | | | | | 
% 170.70/26.03  | | | | | | CLOSE: (161) is inconsistent.
% 170.70/26.03  | | | | | | 
% 170.70/26.03  | | | | | Case 2:
% 170.70/26.03  | | | | | | 
% 170.70/26.03  | | | | | |   (162)  all_56_4 = e0 | all_56_9 = e0
% 170.70/26.03  | | | | | | 
% 170.70/26.03  | | | | | | BETA: splitting (162) gives:
% 170.70/26.03  | | | | | | 
% 170.70/26.03  | | | | | | Case 1:
% 170.70/26.03  | | | | | | | 
% 170.70/26.03  | | | | | | |   (163)  all_56_4 = e0
% 170.70/26.03  | | | | | | | 
% 170.70/26.03  | | | | | | | COMBINE_EQS: (80), (163) imply:
% 170.70/26.03  | | | | | | |   (164)  all_52_8 = e0
% 170.70/26.03  | | | | | | | 
% 170.70/26.03  | | | | | | | REDUCE: (143), (164) imply:
% 170.70/26.03  | | | | | | |   (165)  $false
% 170.70/26.03  | | | | | | | 
% 170.70/26.03  | | | | | | | CLOSE: (165) is inconsistent.
% 170.70/26.03  | | | | | | | 
% 170.70/26.03  | | | | | | Case 2:
% 170.70/26.03  | | | | | | | 
% 170.70/26.03  | | | | | | |   (166)  all_56_9 = e0
% 170.70/26.03  | | | | | | | 
% 170.70/26.03  | | | | | | | COMBINE_EQS: (49), (166) imply:
% 170.70/26.03  | | | | | | |   (167)  all_52_12 = e0
% 170.70/26.03  | | | | | | | 
% 170.70/26.03  | | | | | | | REDUCE: (126), (167) imply:
% 170.70/26.03  | | | | | | |   (168)   ~ (all_52_13 = e0)
% 170.70/26.03  | | | | | | | 
% 170.70/26.03  | | | | | | | SIMP: (168) implies:
% 170.70/26.03  | | | | | | |   (169)   ~ (all_52_13 = e0)
% 170.70/26.03  | | | | | | | 
% 170.70/26.03  | | | | | | | REDUCE: (95), (167) imply:
% 170.70/26.03  | | | | | | |   (170)   ~ (all_52_14 = e0)
% 170.70/26.03  | | | | | | | 
% 170.70/26.03  | | | | | | | SIMP: (170) implies:
% 170.70/26.03  | | | | | | |   (171)   ~ (all_52_14 = e0)
% 170.70/26.03  | | | | | | | 
% 170.70/26.03  | | | | | | | BETA: splitting (52) gives:
% 170.70/26.03  | | | | | | | 
% 170.70/26.03  | | | | | | | Case 1:
% 170.70/26.03  | | | | | | | | 
% 170.70/26.03  | | | | | | | |   (172)  all_56_7 = e0
% 170.70/26.03  | | | | | | | | 
% 170.70/26.03  | | | | | | | | COMBINE_EQS: (119), (172) imply:
% 170.70/26.03  | | | | | | | |   (173)  all_52_6 = e0
% 170.70/26.03  | | | | | | | | 
% 170.70/26.03  | | | | | | | | COMBINE_EQS: (96), (173) imply:
% 170.70/26.03  | | | | | | | |   (174)  all_58_22 = e0
% 170.70/26.03  | | | | | | | | 
% 170.70/26.03  | | | | | | | | REDUCE: (40), (173) imply:
% 170.70/26.03  | | | | | | | |   (175)   ~ (all_52_7 = e0)
% 170.70/26.03  | | | | | | | | 
% 170.70/26.03  | | | | | | | | SIMP: (175) implies:
% 170.70/26.03  | | | | | | | |   (176)   ~ (all_52_7 = e0)
% 170.70/26.03  | | | | | | | | 
% 170.70/26.03  | | | | | | | | REDUCE: (21), (173) imply:
% 170.70/26.03  | | | | | | | |   (177)   ~ (all_4_2 = e0)
% 170.70/26.03  | | | | | | | | 
% 170.70/26.03  | | | | | | | | SIMP: (177) implies:
% 170.70/26.03  | | | | | | | |   (178)   ~ (all_4_2 = e0)
% 170.70/26.03  | | | | | | | | 
% 170.70/26.03  | | | | | | | | REF_CLOSE: (1), (3), (4), (5), (9), (10), (13), (14), (16),
% 170.70/26.03  | | | | | | | |            (20), (23), (25), (28), (31), (32), (34), (36), (37),
% 170.70/26.03  | | | | | | | |            (39), (41), (43), (45), (47), (48), (49), (51), (58),
% 170.70/26.03  | | | | | | | |            (59), (60), (63), (64), (66), (67), (69), (72), (74),
% 170.70/26.03  | | | | | | | |            (75), (78), (83), (85), (90), (93), (98), (103),
% 170.70/26.03  | | | | | | | |            (106), (108), (110), (111), (112), (113), (114),
% 170.70/26.03  | | | | | | | |            (115), (116), (118), (122), (123), (124), (126),
% 170.70/26.03  | | | | | | | |            (127), (129), (142), (169), (171), (174), (176),
% 170.70/26.03  | | | | | | | |            (178) are inconsistent by sub-proof #102.
% 170.70/26.03  | | | | | | | | 
% 170.70/26.03  | | | | | | | Case 2:
% 170.70/26.03  | | | | | | | | 
% 170.70/26.03  | | | | | | | |   (179)  all_56_8 = e0 | all_56_11 = e0
% 170.70/26.03  | | | | | | | | 
% 170.70/26.03  | | | | | | | | REF_CLOSE: (7), (30), (39), (171), (179) are inconsistent by
% 170.70/26.03  | | | | | | | |            sub-proof #912.
% 170.70/26.03  | | | | | | | | 
% 170.70/26.03  | | | | | | | End of split
% 170.70/26.03  | | | | | | | 
% 170.70/26.03  | | | | | | End of split
% 170.70/26.03  | | | | | | 
% 170.70/26.03  | | | | | End of split
% 170.70/26.03  | | | | | 
% 170.70/26.03  | | | | End of split
% 170.70/26.03  | | | | 
% 170.70/26.03  | | | End of split
% 170.70/26.03  | | | 
% 170.70/26.03  | | End of split
% 170.70/26.03  | | 
% 170.70/26.03  | Case 2:
% 170.70/26.03  | | 
% 170.70/26.03  | |   (180)  all_56_6 = e0 | all_56_12 = e0
% 170.70/26.03  | | 
% 170.70/26.03  | | REF_CLOSE: (4), (59), (93), (113), (180) are inconsistent by sub-proof #918.
% 170.70/26.03  | | 
% 170.70/26.03  | End of split
% 170.70/26.03  | 
% 170.70/26.03  End of proof
% 170.70/26.03  
% 170.70/26.03  Sub-proof #102 shows that the following formulas are inconsistent:
% 170.70/26.03  ----------------------------------------------------------------
% 170.70/26.03    (1)   ~ (all_52_12 = all_14_2)
% 170.70/26.03    (2)  op(all_4_2, e2) = e0
% 170.70/26.03    (3)  all_56_12 = all_52_3
% 170.70/26.03    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 170.70/26.03    (5)   ~ (e3 = e1)
% 170.70/26.03    (6)  all_58_23 = all_52_7
% 170.70/26.03    (7)   ~ (all_52_2 = all_6_2)
% 170.70/26.03    (8)   ~ (all_52_3 = all_14_2)
% 170.70/26.03    (9)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.70/26.03    (10)   ~ (all_52_12 = all_6_2)
% 170.70/26.03    (11)  all_56_15 = all_14_2
% 170.70/26.03    (12)   ~ (all_52_3 = all_52_7)
% 170.70/26.03    (13)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.70/26.03    (14)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.70/26.03    (15)  all_58_26 = all_10_2
% 170.70/26.03    (16)  all_58_31 = all_14_2
% 170.70/26.03    (17)   ~ (all_52_3 = all_6_2)
% 170.70/26.03    (18)   ~ (all_52_1 = all_6_2)
% 170.70/26.03    (19)  all_56_11 = all_52_14
% 170.70/26.03    (20)  all_56_0 = all_6_2
% 170.70/26.03    (21)  all_58_30 = all_52_14
% 170.70/26.03    (22)  all_58_17 = all_52_1
% 170.70/26.03    (23)  op(e2, all_4_2) = all_58_5
% 170.70/26.03    (24)  all_58_19 = all_52_3
% 170.70/26.03    (25)  all_56_9 = all_52_12
% 170.70/26.03    (26)  all_58_22 = e0
% 170.70/26.03    (27)  all_56_2 = e0
% 170.70/26.03    (28)  op(e2, e2) = all_4_2
% 170.70/26.03    (29)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 170.70/26.03    (30)   ~ (all_52_2 = e0)
% 170.70/26.03    (31)   ~ (all_52_7 = all_14_2)
% 170.70/26.03    (32)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.70/26.03    (33)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.70/26.03    (34)  all_58_18 = all_52_2
% 170.70/26.03    (35)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.70/26.03    (36)  all_58_16 = all_6_2
% 170.70/26.03    (37)   ~ (all_52_4 = all_6_2)
% 170.70/26.03    (38)   ~ (e3 = e0)
% 170.70/26.03    (39)  all_58_29 = all_52_13
% 170.70/26.03    (40)   ~ (all_52_13 = e0)
% 170.70/26.03    (41)   ~ (all_4_2 = e0)
% 170.70/26.03    (42)   ~ (all_52_7 = all_4_2)
% 170.70/26.03    (43)  all_58_20 = all_52_4
% 170.70/26.03    (44)  all_54_13 = all_52_7
% 170.70/26.03    (45)  all_58_17 = e0
% 170.70/26.03    (46)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.70/26.03    (47)  all_56_6 = all_52_2
% 170.70/26.03    (48)   ~ (all_52_7 = e0)
% 170.70/26.03    (49)  all_58_27 = e0
% 170.70/26.03    (50)  all_54_0 = all_6_2
% 170.70/26.03    (51)   ~ (all_52_2 = all_52_3)
% 170.70/26.03    (52)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.70/26.03            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.70/26.03    (53)   ~ (all_52_2 = all_52_14)
% 170.70/26.03    (54)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 170.70/26.03    (55)  all_58_21 = all_4_2
% 170.70/26.03    (56)  all_56_10 = all_52_13
% 170.70/26.03    (57)   ~ (all_52_3 = e0)
% 170.70/26.03    (58)   ~ (e2 = e0)
% 170.70/26.03    (59)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 170.70/26.03    (60)   ~ (all_52_14 = e0)
% 170.70/26.03    (61)  all_58_28 = all_52_12
% 170.70/26.03    (62)   ~ (e1 = e0)
% 170.70/26.03    (63)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.70/26.03          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.70/26.03          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.70/26.03          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.70/26.03          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.70/26.03          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.70/26.03          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.70/26.03          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.70/26.03          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.70/26.03          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.70/26.03            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.70/26.03            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.70/26.03            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.70/26.03            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.70/26.03            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.70/26.03            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.70/26.03            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.70/26.03            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.70/26.03            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.70/26.03            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.70/26.03            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.70/26.03            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.70/26.03            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.70/26.03            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.70/26.03            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.70/26.03            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.70/26.03          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.70/26.03          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.70/26.03          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.70/26.03            all_58_30 = e0 & e1 = e0)
% 170.70/26.03    (64)   ~ (all_52_2 = all_10_2)
% 170.70/26.03    (65)  all_56_0 = e3 | all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3
% 170.70/26.03    (66)   ~ (all_52_12 = all_52_13)
% 170.70/26.03  
% 170.70/26.03  Begin of proof
% 170.70/26.03  | 
% 170.70/26.03  | BETA: splitting (59) gives:
% 170.70/26.03  | 
% 170.70/26.03  | Case 1:
% 170.70/26.03  | | 
% 170.70/26.03  | |   (67)  all_54_13 = e0
% 170.70/26.03  | | 
% 170.70/26.03  | | COMBINE_EQS: (44), (67) imply:
% 170.70/26.03  | |   (68)  all_52_7 = e0
% 170.70/26.03  | | 
% 170.70/26.03  | | REDUCE: (48), (68) imply:
% 170.70/26.03  | |   (69)  $false
% 170.70/26.03  | | 
% 170.70/26.03  | | CLOSE: (69) is inconsistent.
% 170.70/26.03  | | 
% 170.70/26.03  | Case 2:
% 170.70/26.03  | | 
% 170.70/26.03  | |   (70)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 170.70/26.03  | | 
% 170.70/26.03  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 170.70/26.03  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 170.70/26.03  | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 170.70/26.03  | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (44), (45),
% 170.70/26.03  | |            (46), (47), (48), (49), (50), (51), (52), (53), (54), (55), (56),
% 170.70/26.03  | |            (57), (58), (60), (61), (62), (63), (64), (65), (66), (70) are
% 170.70/26.03  | |            inconsistent by sub-proof #103.
% 170.70/26.03  | | 
% 170.70/26.03  | End of split
% 170.70/26.03  | 
% 170.70/26.03  End of proof
% 170.70/26.03  
% 170.70/26.03  Sub-proof #103 shows that the following formulas are inconsistent:
% 170.70/26.03  ----------------------------------------------------------------
% 170.70/26.03    (1)   ~ (all_52_12 = all_14_2)
% 170.70/26.03    (2)  op(all_4_2, e2) = e0
% 170.70/26.03    (3)  all_56_12 = all_52_3
% 170.70/26.03    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 170.70/26.03    (5)   ~ (e3 = e1)
% 170.70/26.03    (6)  all_58_23 = all_52_7
% 170.70/26.03    (7)   ~ (all_52_2 = all_6_2)
% 170.70/26.03    (8)   ~ (all_52_3 = all_14_2)
% 170.70/26.03    (9)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.70/26.03    (10)   ~ (all_52_12 = all_6_2)
% 170.70/26.03    (11)  all_56_15 = all_14_2
% 170.70/26.03    (12)   ~ (all_52_3 = all_52_7)
% 170.70/26.03    (13)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.70/26.03    (14)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.70/26.03    (15)  all_58_26 = all_10_2
% 170.70/26.03    (16)  all_58_31 = all_14_2
% 170.70/26.03    (17)   ~ (all_52_3 = all_6_2)
% 170.70/26.03    (18)   ~ (all_52_1 = all_6_2)
% 170.70/26.03    (19)  all_56_11 = all_52_14
% 170.70/26.03    (20)  all_56_0 = all_6_2
% 170.70/26.03    (21)  all_58_30 = all_52_14
% 170.70/26.03    (22)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 170.70/26.03    (23)  all_58_17 = all_52_1
% 170.70/26.03    (24)  op(e2, all_4_2) = all_58_5
% 170.70/26.03    (25)  all_58_19 = all_52_3
% 170.70/26.03    (26)  all_56_9 = all_52_12
% 170.70/26.03    (27)  all_58_22 = e0
% 170.70/26.03    (28)  all_56_2 = e0
% 170.70/26.03    (29)  op(e2, e2) = all_4_2
% 170.70/26.03    (30)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 170.70/26.03    (31)   ~ (all_52_2 = e0)
% 170.70/26.03    (32)   ~ (all_52_7 = all_14_2)
% 170.70/26.03    (33)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.70/26.03    (34)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.70/26.03    (35)  all_58_18 = all_52_2
% 170.70/26.03    (36)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.70/26.03    (37)  all_58_16 = all_6_2
% 170.70/26.03    (38)   ~ (all_52_4 = all_6_2)
% 170.70/26.03    (39)   ~ (e3 = e0)
% 170.70/26.03    (40)  all_58_29 = all_52_13
% 170.70/26.03    (41)   ~ (all_52_13 = e0)
% 170.70/26.03    (42)   ~ (all_4_2 = e0)
% 170.70/26.03    (43)   ~ (all_52_7 = all_4_2)
% 170.70/26.03    (44)  all_58_20 = all_52_4
% 170.70/26.03    (45)  all_54_13 = all_52_7
% 170.70/26.03    (46)  all_58_17 = e0
% 170.70/26.03    (47)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.70/26.03    (48)  all_56_6 = all_52_2
% 170.70/26.03    (49)   ~ (all_52_7 = e0)
% 170.70/26.03    (50)  all_58_27 = e0
% 170.70/26.03    (51)  all_54_0 = all_6_2
% 170.70/26.03    (52)   ~ (all_52_2 = all_52_3)
% 170.70/26.03    (53)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.70/26.03            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.70/26.03    (54)   ~ (all_52_2 = all_52_14)
% 170.70/26.03    (55)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 170.70/26.03    (56)  all_58_21 = all_4_2
% 170.70/26.03    (57)  all_56_10 = all_52_13
% 170.70/26.03    (58)   ~ (all_52_3 = e0)
% 170.70/26.03    (59)   ~ (e2 = e0)
% 170.70/26.03    (60)   ~ (all_52_14 = e0)
% 170.70/26.03    (61)  all_58_28 = all_52_12
% 170.70/26.03    (62)   ~ (e1 = e0)
% 170.70/26.03    (63)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.70/26.03          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.70/26.03          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.70/26.03          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.70/26.03          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.70/26.03          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.70/26.03          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.70/26.03          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.70/26.03          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.70/26.03          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.70/26.03            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.70/26.03            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.70/26.03            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.70/26.03            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.70/26.03            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.70/26.03            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.70/26.03            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.70/26.03            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.70/26.03            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.70/26.03            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.70/26.03            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.70/26.03            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.70/26.03            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.70/26.03            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.70/26.03            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.70/26.03            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.70/26.03          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.70/26.03          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.70/26.03          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.70/26.03            all_58_30 = e0 & e1 = e0)
% 170.70/26.03    (64)   ~ (all_52_2 = all_10_2)
% 170.70/26.03    (65)  all_56_0 = e3 | all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3
% 170.70/26.03    (66)   ~ (all_52_12 = all_52_13)
% 170.70/26.03  
% 170.70/26.03  Begin of proof
% 170.70/26.03  | 
% 170.70/26.03  | BETA: splitting (55) gives:
% 170.70/26.03  | 
% 170.70/26.03  | Case 1:
% 170.70/26.03  | | 
% 170.70/26.03  | |   (67)  all_56_9 = e0
% 170.70/26.03  | | 
% 170.70/26.03  | | COMBINE_EQS: (26), (67) imply:
% 170.70/26.03  | |   (68)  all_52_12 = e0
% 170.70/26.03  | | 
% 170.70/26.03  | | COMBINE_EQS: (61), (68) imply:
% 170.70/26.03  | |   (69)  all_58_28 = e0
% 170.70/26.03  | | 
% 170.70/26.03  | | REDUCE: (66), (68) imply:
% 170.70/26.03  | |   (70)   ~ (all_52_13 = e0)
% 170.70/26.03  | | 
% 170.70/26.03  | | REDUCE: (1), (68) imply:
% 170.70/26.03  | |   (71)   ~ (all_14_2 = e0)
% 170.70/26.03  | | 
% 170.70/26.03  | | SIMP: (71) implies:
% 170.70/26.03  | |   (72)   ~ (all_14_2 = e0)
% 170.70/26.03  | | 
% 170.70/26.03  | | REDUCE: (10), (68) imply:
% 170.70/26.03  | |   (73)   ~ (all_6_2 = e0)
% 170.70/26.03  | | 
% 170.70/26.03  | | SIMP: (73) implies:
% 170.70/26.03  | |   (74)   ~ (all_6_2 = e0)
% 170.70/26.03  | | 
% 170.70/26.03  | | BETA: splitting (4) gives:
% 170.70/26.03  | | 
% 170.70/26.03  | | Case 1:
% 170.70/26.03  | | | 
% 170.70/26.03  | | |   (75)  all_54_0 = e0
% 170.70/26.03  | | | 
% 170.70/26.03  | | | REF_CLOSE: (51), (74), (75) are inconsistent by sub-proof #984.
% 170.70/26.03  | | | 
% 170.70/26.03  | | Case 2:
% 170.70/26.03  | | | 
% 170.70/26.03  | | |   (76)   ~ (all_54_0 = e0)
% 170.70/26.03  | | |   (77)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 170.70/26.03  | | | 
% 170.70/26.03  | | | BETA: splitting (9) gives:
% 170.70/26.03  | | | 
% 170.70/26.03  | | | Case 1:
% 170.70/26.03  | | | | 
% 170.70/26.03  | | | |   (78)  all_58_19 = e0
% 170.70/26.03  | | | | 
% 170.70/26.03  | | | | COMBINE_EQS: (25), (78) imply:
% 170.70/26.03  | | | |   (79)  all_52_3 = e0
% 170.70/26.03  | | | | 
% 170.70/26.03  | | | | REDUCE: (58), (79) imply:
% 170.70/26.03  | | | |   (80)  $false
% 170.70/26.03  | | | | 
% 170.70/26.03  | | | | CLOSE: (80) is inconsistent.
% 170.70/26.03  | | | | 
% 170.70/26.03  | | | Case 2:
% 170.70/26.03  | | | | 
% 170.70/26.03  | | | |   (81)   ~ (all_58_19 = e0)
% 170.70/26.03  | | | |   (82)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 170.70/26.03  | | | | 
% 170.70/26.03  | | | | BETA: splitting (47) gives:
% 170.70/26.03  | | | | 
% 170.70/26.03  | | | | Case 1:
% 170.70/26.03  | | | | | 
% 170.70/26.03  | | | | |   (83)  all_58_23 = e0
% 170.70/26.03  | | | | | 
% 170.70/26.03  | | | | | COMBINE_EQS: (6), (83) imply:
% 170.70/26.03  | | | | |   (84)  all_52_7 = e0
% 170.70/26.03  | | | | | 
% 170.70/26.03  | | | | | REDUCE: (49), (84) imply:
% 170.70/26.03  | | | | |   (85)  $false
% 170.70/26.03  | | | | | 
% 170.70/26.03  | | | | | CLOSE: (85) is inconsistent.
% 170.70/26.03  | | | | | 
% 170.70/26.03  | | | | Case 2:
% 170.70/26.03  | | | | | 
% 170.70/26.03  | | | | |   (86)   ~ (all_58_23 = e0)
% 170.70/26.03  | | | | |   (87)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 170.70/26.03  | | | | | 
% 170.70/26.03  | | | | | BETA: splitting (14) gives:
% 170.70/26.03  | | | | | 
% 170.70/26.03  | | | | | Case 1:
% 170.70/26.03  | | | | | | 
% 170.70/26.03  | | | | | |   (88)  all_58_31 = e0
% 170.70/26.03  | | | | | | 
% 170.70/26.03  | | | | | | COMBINE_EQS: (16), (88) imply:
% 170.70/26.03  | | | | | |   (89)  all_14_2 = e0
% 170.70/26.03  | | | | | | 
% 170.70/26.03  | | | | | | REDUCE: (72), (89) imply:
% 170.70/26.03  | | | | | |   (90)  $false
% 170.70/26.03  | | | | | | 
% 170.70/26.03  | | | | | | CLOSE: (90) is inconsistent.
% 170.70/26.03  | | | | | | 
% 170.70/26.03  | | | | | Case 2:
% 170.70/26.03  | | | | | | 
% 170.70/26.03  | | | | | |   (91)   ~ (all_58_31 = e0)
% 170.70/26.03  | | | | | |   (92)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 170.70/26.03  | | | | | | 
% 170.70/26.03  | | | | | | BETA: splitting (33) gives:
% 170.70/26.03  | | | | | | 
% 170.70/26.03  | | | | | | Case 1:
% 170.70/26.03  | | | | | | | 
% 170.70/26.03  | | | | | | |   (93)  all_56_0 = e1
% 170.70/26.03  | | | | | | | 
% 170.70/26.03  | | | | | | | REF_CLOSE: (3), (5), (7), (17), (20), (28), (33), (35), (37),
% 170.70/26.03  | | | | | | |            (46), (48), (59), (74), (82), (93) are inconsistent by
% 170.70/26.03  | | | | | | |            sub-proof #701.
% 170.70/26.03  | | | | | | | 
% 170.70/26.03  | | | | | | Case 2:
% 170.70/26.03  | | | | | | | 
% 170.70/26.03  | | | | | | |   (94)   ~ (all_56_0 = e1)
% 170.70/26.03  | | | | | | | 
% 170.70/26.03  | | | | | | | REDUCE: (20), (94) imply:
% 170.70/26.03  | | | | | | |   (95)   ~ (all_6_2 = e1)
% 170.70/26.03  | | | | | | | 
% 170.70/26.03  | | | | | | | BETA: splitting (65) gives:
% 170.70/26.03  | | | | | | | 
% 170.70/26.03  | | | | | | | Case 1:
% 170.70/26.03  | | | | | | | | 
% 170.70/26.03  | | | | | | | |   (96)  all_56_0 = e3
% 170.70/26.03  | | | | | | | | 
% 170.70/26.03  | | | | | | | | COMBINE_EQS: (20), (96) imply:
% 170.70/26.03  | | | | | | | |   (97)  all_6_2 = e3
% 170.70/26.03  | | | | | | | | 
% 170.70/26.03  | | | | | | | | REDUCE: (38), (97) imply:
% 170.70/26.03  | | | | | | | |   (98)   ~ (all_52_4 = e3)
% 170.70/26.03  | | | | | | | | 
% 170.70/26.04  | | | | | | | | REF_CLOSE: (2), (24), (27), (29), (42), (44), (53), (56), (62),
% 170.70/26.04  | | | | | | | |            (87), (98) are inconsistent by sub-proof #105.
% 170.70/26.04  | | | | | | | | 
% 170.70/26.04  | | | | | | | Case 2:
% 170.70/26.04  | | | | | | | | 
% 170.70/26.04  | | | | | | | |   (99)   ~ (all_56_0 = e3)
% 170.70/26.04  | | | | | | | | 
% 170.70/26.04  | | | | | | | | REDUCE: (20), (99) imply:
% 170.70/26.04  | | | | | | | |   (100)   ~ (all_6_2 = e3)
% 170.70/26.04  | | | | | | | | 
% 170.70/26.04  | | | | | | | | BETA: splitting (82) gives:
% 170.70/26.04  | | | | | | | | 
% 170.70/26.04  | | | | | | | | Case 1:
% 170.70/26.04  | | | | | | | | | 
% 170.70/26.04  | | | | | | | | |   (101)  all_58_18 = e1
% 170.70/26.04  | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | COMBINE_EQS: (35), (101) imply:
% 170.70/26.04  | | | | | | | | |   (102)  all_52_2 = e1
% 170.70/26.04  | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | COMBINE_EQS: (48), (102) imply:
% 170.70/26.04  | | | | | | | | |   (103)  all_56_6 = e1
% 170.70/26.04  | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | REDUCE: (52), (102) imply:
% 170.70/26.04  | | | | | | | | |   (104)   ~ (all_52_3 = e1)
% 170.70/26.04  | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | SIMP: (104) implies:
% 170.70/26.04  | | | | | | | | |   (105)   ~ (all_52_3 = e1)
% 170.70/26.04  | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | REDUCE: (54), (102) imply:
% 170.70/26.04  | | | | | | | | |   (106)   ~ (all_52_14 = e1)
% 170.70/26.04  | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | SIMP: (106) implies:
% 170.70/26.04  | | | | | | | | |   (107)   ~ (all_52_14 = e1)
% 170.70/26.04  | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | REDUCE: (64), (102) imply:
% 170.70/26.04  | | | | | | | | |   (108)   ~ (all_10_2 = e1)
% 170.70/26.04  | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | SIMP: (108) implies:
% 170.70/26.04  | | | | | | | | |   (109)   ~ (all_10_2 = e1)
% 170.70/26.04  | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | REDUCE: (7), (102) imply:
% 170.70/26.04  | | | | | | | | |   (110)   ~ (all_6_2 = e1)
% 170.70/26.04  | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | BETA: splitting (13) gives:
% 170.70/26.04  | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | Case 1:
% 170.70/26.04  | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | |   (111)  all_56_0 = e3
% 170.70/26.04  | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | COMBINE_EQS: (20), (111) imply:
% 170.70/26.04  | | | | | | | | | |   (112)  all_6_2 = e3
% 170.70/26.04  | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | REDUCE: (100), (112) imply:
% 170.70/26.04  | | | | | | | | | |   (113)  $false
% 170.70/26.04  | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | CLOSE: (113) is inconsistent.
% 170.70/26.04  | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | Case 2:
% 170.70/26.04  | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | |   (114)  all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.70/26.04  | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | BETA: splitting (114) gives:
% 170.70/26.04  | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | Case 1:
% 170.70/26.04  | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | |   (115)  all_56_2 = e3
% 170.70/26.04  | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | | REF_CLOSE: (28), (39), (115) are inconsistent by sub-proof
% 170.70/26.04  | | | | | | | | | | |            #699.
% 170.70/26.04  | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | Case 2:
% 170.70/26.04  | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | |   (116)  all_56_6 = e3 | all_56_12 = e3
% 170.70/26.04  | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | | BETA: splitting (63) gives:
% 170.70/26.04  | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | | Case 1:
% 170.70/26.04  | | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | | |   (117)  all_58_31 = e0
% 170.70/26.04  | | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | | | COMBINE_EQS: (16), (117) imply:
% 170.70/26.04  | | | | | | | | | | | |   (118)  all_14_2 = e0
% 170.70/26.04  | | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | | | REDUCE: (72), (118) imply:
% 170.70/26.04  | | | | | | | | | | | |   (119)  $false
% 170.70/26.04  | | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | | | CLOSE: (119) is inconsistent.
% 170.70/26.04  | | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | | Case 2:
% 170.70/26.04  | | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | | |   (120)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 |
% 170.70/26.04  | | | | | | | | | | | |          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 170.70/26.04  | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 170.70/26.04  | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.70/26.04  | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 170.70/26.04  | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 170.70/26.04  | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.70/26.04  | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 170.70/26.04  | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 170.70/26.04  | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.70/26.04  | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 170.70/26.04  | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 170.70/26.04  | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.70/26.04  | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 170.70/26.04  | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 170.70/26.04  | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 170.70/26.04  | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 170.70/26.04  | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 170.70/26.04  | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 170.70/26.04  | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 170.70/26.04  | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 170.70/26.04  | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 170.70/26.04  | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 170.70/26.04  | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 170.70/26.04  | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 170.70/26.04  | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 170.70/26.04  | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 170.70/26.04  | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 170.70/26.04  | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 170.70/26.04  | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 170.70/26.04  | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 170.70/26.04  | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 170.70/26.04  | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 170.70/26.04  | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 170.70/26.04  | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 170.70/26.04  | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 170.70/26.04  | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 170.70/26.04  | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.70/26.04  | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 170.70/26.04  | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 170.70/26.04  | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.70/26.04  | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 170.70/26.04  | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 170.70/26.04  | | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | | | BETA: splitting (116) gives:
% 170.70/26.04  | | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | | | Case 1:
% 170.70/26.04  | | | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | | | |   (121)  all_56_6 = e3
% 170.70/26.04  | | | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | | | | REF_CLOSE: (5), (103), (121) are inconsistent by sub-proof
% 170.70/26.04  | | | | | | | | | | | | |            #726.
% 170.70/26.04  | | | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | | | Case 2:
% 170.70/26.04  | | | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | | | |   (122)  all_56_12 = e3
% 170.70/26.04  | | | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | | | | COMBINE_EQS: (3), (122) imply:
% 170.70/26.04  | | | | | | | | | | | | |   (123)  all_52_3 = e3
% 170.70/26.04  | | | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | | | | SIMP: (123) implies:
% 170.70/26.04  | | | | | | | | | | | | |   (124)  all_52_3 = e3
% 170.70/26.04  | | | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | | | | COMBINE_EQS: (25), (124) imply:
% 170.70/26.04  | | | | | | | | | | | | |   (125)  all_58_19 = e3
% 170.70/26.04  | | | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | | | | REDUCE: (12), (124) imply:
% 170.70/26.04  | | | | | | | | | | | | |   (126)   ~ (all_52_7 = e3)
% 170.70/26.04  | | | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | | | | SIMP: (126) implies:
% 170.70/26.04  | | | | | | | | | | | | |   (127)   ~ (all_52_7 = e3)
% 170.70/26.04  | | | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | | | | REDUCE: (8), (124) imply:
% 170.70/26.04  | | | | | | | | | | | | |   (128)   ~ (all_14_2 = e3)
% 170.70/26.04  | | | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | | | | SIMP: (128) implies:
% 170.70/26.04  | | | | | | | | | | | | |   (129)   ~ (all_14_2 = e3)
% 170.70/26.04  | | | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | | | | REDUCE: (17), (124) imply:
% 170.70/26.04  | | | | | | | | | | | | |   (130)   ~ (all_6_2 = e3)
% 170.70/26.04  | | | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | | | | REF_CLOSE: (5), (11), (15), (19), (20), (21), (22), (27),
% 170.70/26.04  | | | | | | | | | | | | |            (30), (32), (34), (36), (37), (39), (40), (41),
% 170.70/26.04  | | | | | | | | | | | | |            (43), (45), (46), (49), (50), (51), (56), (57),
% 170.70/26.04  | | | | | | | | | | | | |            (62), (67), (69), (77), (82), (92), (95), (100),
% 170.70/26.04  | | | | | | | | | | | | |            (107), (109), (120), (125), (127), (129) are
% 170.70/26.04  | | | | | | | | | | | | |            inconsistent by sub-proof #370.
% 170.70/26.04  | | | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | | | End of split
% 170.70/26.04  | | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | | End of split
% 170.70/26.04  | | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | | End of split
% 170.70/26.04  | | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | End of split
% 170.70/26.04  | | | | | | | | | 
% 170.70/26.04  | | | | | | | | Case 2:
% 170.70/26.04  | | | | | | | | | 
% 170.70/26.04  | | | | | | | | |   (131)  all_58_16 = e3 | all_58_17 = e2
% 170.70/26.04  | | | | | | | | | 
% 170.70/26.04  | | | | | | | | | REF_CLOSE: (18), (23), (37), (51), (77), (95), (100), (131)
% 170.70/26.04  | | | | | | | | |            are inconsistent by sub-proof #104.
% 170.70/26.04  | | | | | | | | | 
% 170.70/26.04  | | | | | | | | End of split
% 170.70/26.04  | | | | | | | | 
% 170.70/26.04  | | | | | | | End of split
% 170.70/26.04  | | | | | | | 
% 170.70/26.04  | | | | | | End of split
% 170.70/26.04  | | | | | | 
% 170.70/26.04  | | | | | End of split
% 170.70/26.04  | | | | | 
% 170.70/26.04  | | | | End of split
% 170.70/26.04  | | | | 
% 170.70/26.04  | | | End of split
% 170.70/26.04  | | | 
% 170.70/26.04  | | End of split
% 170.70/26.04  | | 
% 170.70/26.04  | Case 2:
% 170.70/26.04  | | 
% 170.70/26.04  | |   (132)  all_56_10 = e0 | all_56_11 = e0
% 170.70/26.04  | | 
% 170.70/26.04  | | REF_CLOSE: (19), (41), (57), (60), (132) are inconsistent by sub-proof #414.
% 170.70/26.04  | | 
% 170.70/26.04  | End of split
% 170.70/26.04  | 
% 170.70/26.04  End of proof
% 170.70/26.04  
% 170.70/26.04  Sub-proof #104 shows that the following formulas are inconsistent:
% 170.70/26.04  ----------------------------------------------------------------
% 170.70/26.04    (1)   ~ (all_52_1 = all_6_2)
% 170.70/26.04    (2)  all_58_17 = all_52_1
% 170.70/26.04    (3)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 170.70/26.04    (4)   ~ (all_6_2 = e3)
% 170.70/26.04    (5)   ~ (all_6_2 = e1)
% 170.70/26.04    (6)  all_58_16 = all_6_2
% 170.70/26.04    (7)  all_54_0 = all_6_2
% 170.70/26.04    (8)  all_58_16 = e3 | all_58_17 = e2
% 170.70/26.04  
% 170.70/26.04  Begin of proof
% 170.70/26.04  | 
% 170.70/26.04  | BETA: splitting (8) gives:
% 170.70/26.04  | 
% 170.70/26.04  | Case 1:
% 170.70/26.04  | | 
% 170.70/26.04  | |   (9)  all_58_17 = e2
% 170.70/26.04  | | 
% 170.70/26.04  | | COMBINE_EQS: (2), (9) imply:
% 170.70/26.04  | |   (10)  all_52_1 = e2
% 170.70/26.04  | | 
% 170.70/26.04  | | REDUCE: (1), (10) imply:
% 170.70/26.04  | |   (11)   ~ (all_6_2 = e2)
% 170.70/26.04  | | 
% 170.70/26.04  | | SIMP: (11) implies:
% 170.70/26.04  | |   (12)   ~ (all_6_2 = e2)
% 170.70/26.04  | | 
% 170.70/26.04  | | REF_CLOSE: (3), (4), (5), (7), (12) are inconsistent by sub-proof #848.
% 170.70/26.04  | | 
% 170.70/26.04  | Case 2:
% 170.70/26.04  | | 
% 170.70/26.04  | |   (13)  all_58_16 = e3
% 170.70/26.04  | | 
% 170.70/26.04  | | COMBINE_EQS: (6), (13) imply:
% 170.70/26.04  | |   (14)  all_6_2 = e3
% 170.70/26.04  | | 
% 170.70/26.04  | | REDUCE: (4), (14) imply:
% 170.70/26.04  | |   (15)  $false
% 170.70/26.04  | | 
% 170.70/26.04  | | CLOSE: (15) is inconsistent.
% 170.70/26.04  | | 
% 170.70/26.04  | End of split
% 170.70/26.04  | 
% 170.70/26.04  End of proof
% 170.70/26.04  
% 170.70/26.04  Sub-proof #105 shows that the following formulas are inconsistent:
% 170.70/26.04  ----------------------------------------------------------------
% 170.70/26.04    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 170.70/26.04    (2)  op(all_4_2, e2) = e0
% 170.70/26.04    (3)   ~ (all_52_4 = e3)
% 170.70/26.04    (4)  op(e2, all_4_2) = all_58_5
% 170.70/26.04    (5)  all_58_22 = e0
% 170.70/26.04    (6)  op(e2, e2) = all_4_2
% 170.70/26.04    (7)   ~ (all_4_2 = e0)
% 170.70/26.04    (8)  all_58_20 = all_52_4
% 170.70/26.04    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.70/26.04           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.70/26.04    (10)  all_58_21 = all_4_2
% 170.70/26.04    (11)   ~ (e1 = e0)
% 170.70/26.04  
% 170.70/26.04  Begin of proof
% 170.70/26.04  | 
% 170.70/26.04  | BETA: splitting (1) gives:
% 170.70/26.04  | 
% 170.70/26.04  | Case 1:
% 170.70/26.04  | | 
% 170.70/26.04  | |   (12)  all_58_22 = e1
% 170.70/26.04  | | 
% 170.70/26.04  | | REF_CLOSE: (5), (11), (12) are inconsistent by sub-proof #923.
% 170.70/26.04  | | 
% 170.70/26.04  | Case 2:
% 170.70/26.04  | | 
% 170.70/26.04  | |   (13)  all_58_20 = e3 | all_58_21 = e2
% 170.70/26.04  | | 
% 170.70/26.04  | | BETA: splitting (13) gives:
% 170.70/26.04  | | 
% 170.70/26.04  | | Case 1:
% 170.70/26.04  | | | 
% 170.70/26.04  | | |   (14)  all_58_21 = e2
% 170.70/26.04  | | | 
% 170.70/26.04  | | | REF_CLOSE: (2), (4), (6), (7), (9), (10), (14) are inconsistent by
% 170.70/26.04  | | |            sub-proof #123.
% 170.70/26.04  | | | 
% 170.70/26.04  | | Case 2:
% 170.70/26.04  | | | 
% 170.70/26.04  | | |   (15)  all_58_20 = e3
% 170.70/26.04  | | | 
% 170.87/26.04  | | | COMBINE_EQS: (8), (15) imply:
% 170.87/26.04  | | |   (16)  all_52_4 = e3
% 170.87/26.04  | | | 
% 170.87/26.04  | | | REDUCE: (3), (16) imply:
% 170.87/26.04  | | |   (17)  $false
% 170.87/26.04  | | | 
% 170.87/26.04  | | | CLOSE: (17) is inconsistent.
% 170.87/26.04  | | | 
% 170.87/26.04  | | End of split
% 170.87/26.04  | | 
% 170.87/26.04  | End of split
% 170.87/26.04  | 
% 170.87/26.04  End of proof
% 170.87/26.04  
% 170.87/26.04  Sub-proof #106 shows that the following formulas are inconsistent:
% 170.87/26.04  ----------------------------------------------------------------
% 170.87/26.04    (1)   ~ (all_52_12 = all_14_2)
% 170.87/26.04    (2)  op(all_4_2, e2) = e0
% 170.87/26.04    (3)  all_56_12 = all_52_3
% 170.87/26.04    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 170.87/26.04    (5)  op(e1, all_52_14) = all_58_11
% 170.87/26.04    (6)   ~ (all_10_2 = e0)
% 170.87/26.04    (7)   ~ (all_52_8 = all_52_12)
% 170.87/26.04    (8)  all_58_23 = all_52_7
% 170.87/26.04    (9)  all_44_0 = all_4_0
% 170.87/26.04    (10)   ~ (all_52_2 = all_6_2)
% 170.87/26.04    (11)   ~ (all_52_3 = all_14_2)
% 170.87/26.04    (12)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.87/26.04    (13)  all_54_3 = all_52_12
% 170.87/26.04    (14)  all_56_5 = all_52_9
% 170.87/26.04    (15)   ~ (all_52_12 = all_6_2)
% 170.87/26.04    (16)  op(e1, e0) = all_52_14
% 170.87/26.04    (17)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 170.87/26.04    (18)   ~ (all_52_13 = all_4_2)
% 170.87/26.04    (19)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.87/26.04    (20)  op(e0, all_52_3) = all_58_12
% 170.87/26.04    (21)  all_56_8 = all_10_2
% 170.87/26.04    (22)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.87/26.04    (23)  all_58_31 = all_14_2
% 170.87/26.04    (24)   ~ (all_52_3 = all_6_2)
% 170.87/26.04    (25)  all_54_2 = all_52_8
% 170.87/26.04    (26)  all_56_11 = all_52_14
% 170.87/26.04    (27)   ~ (all_52_6 = all_52_7)
% 170.87/26.04    (28)  all_56_0 = all_6_2
% 170.87/26.04    (29)   ~ (all_52_9 = all_10_2)
% 170.87/26.04    (30)  all_58_30 = all_52_14
% 170.87/26.04    (31)  op(e3, e1) = all_52_8
% 170.87/26.04    (32)  op(e2, all_4_2) = all_58_5
% 170.87/26.04    (33)  all_58_20 = e0
% 170.87/26.04    (34)  all_58_19 = all_52_3
% 170.87/26.04    (35)  all_56_9 = all_52_12
% 170.87/26.04    (36)   ~ (all_52_2 = all_52_6)
% 170.87/26.04    (37)  all_56_2 = e0
% 170.87/26.04    (38)  op(e2, e2) = all_4_2
% 170.87/26.04    (39)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.87/26.04    (40)   ~ (e3 = e2)
% 170.87/26.04    (41)  op(e3, all_52_8) = all_58_2
% 170.87/26.04    (42)   ~ (all_52_6 = all_10_2)
% 170.87/26.04    (43)   ~ (all_52_7 = all_14_2)
% 170.87/26.04    (44)  all_56_1 = e0
% 170.87/26.04    (45)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 170.87/26.04    (46)   ~ (all_52_13 = all_14_2)
% 170.87/26.04    (47)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.87/26.04    (48)   ~ (all_52_13 = all_52_14)
% 170.87/26.04    (49)  all_58_18 = all_52_2
% 170.87/26.04    (50)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.87/26.04    (51)  all_58_16 = all_6_2
% 170.87/26.04    (52)  all_56_13 = all_52_7
% 170.87/26.04    (53)  op(e0, e3) = all_52_3
% 170.87/26.04    (54)   ~ (e3 = e0)
% 170.87/26.04    (55)  all_58_29 = all_52_13
% 170.87/26.04    (56)   ~ (all_4_2 = e0)
% 170.87/26.04    (57)   ~ (all_6_2 = e0)
% 170.87/26.04    (58)  op(e0, all_4_2) = all_4_0
% 170.87/26.04    (59)   ~ (all_52_8 = all_10_2)
% 170.87/26.04    (60)  all_56_4 = all_52_8
% 170.87/26.04    (61)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 170.87/26.04    (62)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 170.87/26.04    (63)  all_54_10 = all_10_2
% 170.87/26.04    (64)  all_54_15 = all_14_2
% 170.87/26.04    (65)  all_44_2 = all_4_2
% 170.87/26.04    (66)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 170.87/26.04    (67)  all_58_17 = e0
% 170.87/26.04    (68)   ~ (all_44_0 = e1) |  ~ (all_44_2 = e3)
% 170.87/26.04    (69)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.87/26.04    (70)   ~ (all_52_8 = all_6_2)
% 170.87/26.04    (71)  all_56_6 = all_52_2
% 170.87/26.04    (72)   ~ (all_52_7 = e0)
% 170.87/26.04    (73)   ~ (all_52_12 = all_52_14)
% 170.87/26.04    (74)  all_58_22 = all_52_6
% 170.87/26.04    (75)  all_56_3 = all_4_2
% 170.87/26.04    (76)  all_54_0 = all_6_2
% 170.87/26.04    (77)   ~ (all_52_14 = all_10_2)
% 170.87/26.04    (78)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 170.87/26.04    (79)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 170.87/26.04    (80)   ~ (all_52_2 = all_52_3)
% 170.87/26.04    (81)   ~ (all_52_14 = all_14_2)
% 170.87/26.04    (82)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.87/26.04            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.87/26.04    (83)   ~ (all_52_6 = e0)
% 170.87/26.04    (84)  all_54_12 = all_52_3
% 170.87/26.04    (85)   ~ (all_52_2 = all_52_14)
% 170.87/26.04    (86)  op(e0, all_14_2) = all_58_15
% 170.87/26.04    (87)  all_58_21 = all_4_2
% 170.87/26.04    (88)  all_56_10 = all_52_13
% 170.87/26.04    (89)   ~ (all_52_3 = e0)
% 170.87/26.04    (90)   ~ (e2 = e0)
% 170.87/26.04    (91)  all_58_28 = all_52_12
% 170.87/26.04    (92)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 170.87/26.04    (93)   ~ (e1 = e0)
% 170.87/26.04    (94)  all_56_7 = all_52_6
% 170.87/26.04    (95)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 170.87/26.04            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 170.87/26.04            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 170.87/26.04            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 170.87/26.04            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 170.87/26.04            (all_58_15 = e0))
% 170.87/26.04    (96)   ~ (all_52_8 = e0)
% 170.87/26.04    (97)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 170.87/26.04    (98)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 170.87/26.04    (99)   ~ (all_52_12 = all_52_13)
% 170.87/26.04  
% 170.87/26.04  Begin of proof
% 170.87/26.04  | 
% 170.87/26.04  | BETA: splitting (39) gives:
% 170.87/26.04  | 
% 170.87/26.04  | Case 1:
% 170.87/26.04  | | 
% 170.87/26.04  | |   (100)  all_56_7 = e0
% 170.87/26.04  | | 
% 170.87/26.04  | | COMBINE_EQS: (94), (100) imply:
% 170.87/26.04  | |   (101)  all_52_6 = e0
% 170.87/26.04  | | 
% 170.87/26.04  | | REDUCE: (83), (101) imply:
% 170.87/26.04  | |   (102)  $false
% 170.87/26.04  | | 
% 170.87/26.04  | | CLOSE: (102) is inconsistent.
% 170.87/26.04  | | 
% 170.87/26.04  | Case 2:
% 170.87/26.04  | | 
% 170.87/26.04  | |   (103)  all_56_8 = e0 | all_56_11 = e0
% 170.87/26.04  | | 
% 170.87/26.04  | | BETA: splitting (103) gives:
% 170.87/26.04  | | 
% 170.87/26.04  | | Case 1:
% 170.87/26.04  | | | 
% 170.87/26.04  | | |   (104)  all_56_8 = e0
% 170.87/26.04  | | | 
% 170.87/26.04  | | | COMBINE_EQS: (21), (104) imply:
% 170.87/26.04  | | |   (105)  all_10_2 = e0
% 170.87/26.04  | | | 
% 170.87/26.04  | | | REDUCE: (6), (105) imply:
% 170.87/26.04  | | |   (106)  $false
% 170.87/26.04  | | | 
% 170.87/26.04  | | | CLOSE: (106) is inconsistent.
% 170.87/26.04  | | | 
% 170.87/26.04  | | Case 2:
% 170.87/26.04  | | | 
% 170.87/26.04  | | |   (107)  all_56_11 = e0
% 170.87/26.04  | | | 
% 170.87/26.04  | | | COMBINE_EQS: (26), (107) imply:
% 170.87/26.04  | | |   (108)  all_52_14 = e0
% 170.87/26.04  | | | 
% 170.87/26.04  | | | COMBINE_EQS: (30), (108) imply:
% 170.87/26.04  | | |   (109)  all_58_30 = e0
% 170.87/26.04  | | | 
% 170.87/26.04  | | | REDUCE: (85), (108) imply:
% 170.87/26.04  | | |   (110)   ~ (all_52_2 = e0)
% 170.87/26.04  | | | 
% 170.87/26.04  | | | REDUCE: (73), (108) imply:
% 170.87/26.04  | | |   (111)   ~ (all_52_12 = e0)
% 170.87/26.04  | | | 
% 170.87/26.04  | | | REDUCE: (48), (108) imply:
% 170.87/26.04  | | |   (112)   ~ (all_52_13 = e0)
% 170.87/26.04  | | | 
% 170.87/26.04  | | | REDUCE: (81), (108) imply:
% 170.87/26.04  | | |   (113)   ~ (all_14_2 = e0)
% 170.87/26.04  | | | 
% 170.87/26.04  | | | SIMP: (113) implies:
% 170.87/26.04  | | |   (114)   ~ (all_14_2 = e0)
% 170.87/26.04  | | | 
% 170.87/26.04  | | | REDUCE: (77), (108) imply:
% 170.87/26.04  | | |   (115)   ~ (all_10_2 = e0)
% 170.87/26.04  | | | 
% 170.87/26.04  | | | REDUCE: (5), (108) imply:
% 170.87/26.04  | | |   (116)  op(e1, e0) = all_58_11
% 170.87/26.04  | | | 
% 170.87/26.04  | | | REDUCE: (16), (108) imply:
% 170.87/26.04  | | |   (117)  op(e1, e0) = e0
% 170.87/26.04  | | | 
% 170.87/26.04  | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 170.87/26.04  | | |            (14), (15), (17), (18), (19), (20), (22), (23), (24), (25),
% 170.87/26.04  | | |            (27), (28), (29), (31), (32), (33), (34), (35), (36), (37),
% 170.87/26.04  | | |            (38), (40), (41), (42), (43), (44), (45), (46), (47), (49),
% 170.87/26.04  | | |            (50), (51), (52), (53), (54), (55), (56), (57), (58), (59),
% 170.87/26.04  | | |            (60), (61), (62), (63), (64), (65), (66), (67), (68), (69),
% 170.87/26.04  | | |            (70), (71), (72), (74), (75), (76), (78), (79), (80), (82),
% 170.87/26.04  | | |            (84), (86), (87), (88), (89), (90), (91), (92), (93), (94),
% 170.87/26.04  | | |            (95), (96), (97), (98), (99), (109), (110), (111), (112),
% 170.87/26.04  | | |            (114), (116), (117) are inconsistent by sub-proof #107.
% 170.87/26.04  | | | 
% 170.87/26.04  | | End of split
% 170.87/26.04  | | 
% 170.87/26.04  | End of split
% 170.87/26.04  | 
% 170.87/26.04  End of proof
% 170.87/26.04  
% 170.87/26.04  Sub-proof #107 shows that the following formulas are inconsistent:
% 170.87/26.04  ----------------------------------------------------------------
% 170.87/26.04    (1)   ~ (all_52_12 = all_14_2)
% 170.87/26.04    (2)  op(all_4_2, e2) = e0
% 170.87/26.04    (3)  all_56_12 = all_52_3
% 170.87/26.04    (4)  op(e1, e0) = e0
% 170.87/26.04    (5)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 170.87/26.04    (6)   ~ (all_10_2 = e0)
% 170.87/26.04    (7)   ~ (all_52_8 = all_52_12)
% 170.87/26.04    (8)  all_58_23 = all_52_7
% 170.87/26.04    (9)  all_44_0 = all_4_0
% 170.87/26.04    (10)   ~ (all_52_2 = all_6_2)
% 170.87/26.04    (11)   ~ (all_52_3 = all_14_2)
% 170.87/26.04    (12)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.87/26.04    (13)  all_54_3 = all_52_12
% 170.87/26.04    (14)  all_56_5 = all_52_9
% 170.87/26.04    (15)   ~ (all_52_12 = all_6_2)
% 170.87/26.04    (16)   ~ (all_14_2 = e0)
% 170.87/26.04    (17)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 170.87/26.04    (18)   ~ (all_52_13 = all_4_2)
% 170.87/26.04    (19)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.87/26.04    (20)  op(e0, all_52_3) = all_58_12
% 170.87/26.04    (21)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.87/26.04    (22)  all_58_30 = e0
% 170.87/26.04    (23)  all_58_31 = all_14_2
% 170.87/26.04    (24)   ~ (all_52_3 = all_6_2)
% 170.87/26.04    (25)  all_54_2 = all_52_8
% 170.87/26.04    (26)   ~ (all_52_6 = all_52_7)
% 170.87/26.04    (27)  all_56_0 = all_6_2
% 170.87/26.04    (28)   ~ (all_52_9 = all_10_2)
% 170.87/26.04    (29)  op(e3, e1) = all_52_8
% 170.87/26.04    (30)  op(e2, all_4_2) = all_58_5
% 170.87/26.04    (31)  all_58_20 = e0
% 170.87/26.04    (32)  all_58_19 = all_52_3
% 170.87/26.04    (33)  all_56_9 = all_52_12
% 170.87/26.04    (34)   ~ (all_52_2 = all_52_6)
% 170.87/26.04    (35)  all_56_2 = e0
% 170.87/26.04    (36)  op(e2, e2) = all_4_2
% 170.87/26.04    (37)   ~ (e3 = e2)
% 170.87/26.04    (38)  op(e3, all_52_8) = all_58_2
% 170.87/26.04    (39)   ~ (all_52_6 = all_10_2)
% 170.87/26.04    (40)   ~ (all_52_2 = e0)
% 170.87/26.04    (41)   ~ (all_52_7 = all_14_2)
% 170.87/26.04    (42)  all_56_1 = e0
% 170.87/26.04    (43)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 170.87/26.04    (44)   ~ (all_52_13 = all_14_2)
% 170.87/26.04    (45)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.87/26.04    (46)  all_58_18 = all_52_2
% 170.87/26.04    (47)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.87/26.04    (48)  all_58_16 = all_6_2
% 170.87/26.04    (49)  all_56_13 = all_52_7
% 170.87/26.04    (50)  op(e0, e3) = all_52_3
% 170.87/26.04    (51)  op(e1, e0) = all_58_11
% 170.87/26.04    (52)   ~ (all_52_12 = e0)
% 170.87/26.04    (53)   ~ (e3 = e0)
% 170.87/26.04    (54)  all_58_29 = all_52_13
% 170.87/26.04    (55)   ~ (all_52_13 = e0)
% 170.87/26.04    (56)   ~ (all_4_2 = e0)
% 170.87/26.04    (57)   ~ (all_6_2 = e0)
% 170.87/26.04    (58)  op(e0, all_4_2) = all_4_0
% 170.87/26.04    (59)   ~ (all_52_8 = all_10_2)
% 170.87/26.04    (60)  all_56_4 = all_52_8
% 170.87/26.04    (61)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 170.87/26.04    (62)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 170.87/26.04    (63)  all_54_10 = all_10_2
% 170.87/26.04    (64)  all_54_15 = all_14_2
% 170.87/26.04    (65)  all_44_2 = all_4_2
% 170.87/26.04    (66)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 170.87/26.04    (67)  all_58_17 = e0
% 170.87/26.04    (68)   ~ (all_44_0 = e1) |  ~ (all_44_2 = e3)
% 170.87/26.04    (69)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.87/26.04    (70)   ~ (all_52_8 = all_6_2)
% 170.87/26.04    (71)  all_56_6 = all_52_2
% 170.87/26.04    (72)   ~ (all_52_7 = e0)
% 170.87/26.04    (73)  all_58_22 = all_52_6
% 170.87/26.04    (74)  all_56_3 = all_4_2
% 170.87/26.04    (75)  all_54_0 = all_6_2
% 170.87/26.04    (76)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 170.87/26.04    (77)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 170.87/26.04    (78)   ~ (all_52_2 = all_52_3)
% 170.87/26.04    (79)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.87/26.04            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.87/26.04    (80)  all_54_12 = all_52_3
% 170.87/26.04    (81)  op(e0, all_14_2) = all_58_15
% 170.87/26.04    (82)  all_58_21 = all_4_2
% 170.87/26.04    (83)  all_56_10 = all_52_13
% 170.87/26.04    (84)   ~ (all_52_3 = e0)
% 170.87/26.04    (85)   ~ (e2 = e0)
% 170.87/26.05    (86)  all_58_28 = all_52_12
% 170.87/26.05    (87)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 170.87/26.05    (88)   ~ (e1 = e0)
% 170.87/26.05    (89)  all_56_7 = all_52_6
% 170.87/26.05    (90)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 170.87/26.05            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 170.87/26.05            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 170.87/26.05            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 170.87/26.05            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 170.87/26.05            (all_58_15 = e0))
% 170.87/26.05    (91)   ~ (all_52_8 = e0)
% 170.87/26.05    (92)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 170.87/26.05    (93)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 170.87/26.05    (94)   ~ (all_52_12 = all_52_13)
% 170.87/26.05  
% 170.87/26.05  Begin of proof
% 170.87/26.05  | 
% 170.87/26.05  | GROUND_INST: instantiating (79) with e0, all_58_11, e0, e1, simplifying with
% 170.87/26.05  |              (4), (51) gives:
% 170.87/26.05  |   (95)  all_58_11 = e0
% 170.87/26.05  | 
% 170.87/26.05  | BETA: splitting (17) gives:
% 170.87/26.05  | 
% 170.87/26.05  | Case 1:
% 170.87/26.05  | | 
% 170.87/26.05  | |   (96)  all_54_3 = e0
% 170.87/26.05  | | 
% 170.87/26.05  | | REF_CLOSE: (13), (52), (96) are inconsistent by sub-proof #898.
% 170.87/26.05  | | 
% 170.87/26.05  | Case 2:
% 170.87/26.05  | | 
% 170.87/26.05  | |   (97)   ~ (all_54_3 = e0)
% 170.87/26.05  | |   (98)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 170.87/26.05  | | 
% 170.87/26.05  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 170.87/26.05  | |            (14), (15), (16), (18), (19), (20), (21), (22), (23), (24), (25),
% 170.87/26.05  | |            (26), (27), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 170.87/26.05  | |            (37), (38), (39), (40), (41), (42), (43), (44), (45), (46), (47),
% 170.87/26.05  | |            (48), (49), (50), (52), (53), (54), (55), (56), (57), (58), (59),
% 170.87/26.05  | |            (60), (61), (62), (63), (64), (65), (66), (67), (68), (69), (70),
% 170.87/26.05  | |            (71), (72), (73), (74), (75), (76), (77), (78), (79), (80), (81),
% 170.87/26.05  | |            (82), (83), (84), (85), (86), (87), (88), (89), (90), (91), (92),
% 170.87/26.05  | |            (93), (94), (95), (98) are inconsistent by sub-proof #108.
% 170.87/26.05  | | 
% 170.87/26.05  | End of split
% 170.87/26.05  | 
% 170.87/26.05  End of proof
% 170.87/26.05  
% 170.87/26.05  Sub-proof #108 shows that the following formulas are inconsistent:
% 170.87/26.05  ----------------------------------------------------------------
% 170.87/26.05    (1)   ~ (all_52_12 = all_14_2)
% 170.87/26.05    (2)  op(all_4_2, e2) = e0
% 170.87/26.05    (3)  all_56_12 = all_52_3
% 170.87/26.05    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 170.87/26.05    (5)   ~ (all_10_2 = e0)
% 170.87/26.05    (6)   ~ (all_52_8 = all_52_12)
% 170.87/26.05    (7)  all_58_23 = all_52_7
% 170.87/26.05    (8)  all_44_0 = all_4_0
% 170.87/26.05    (9)   ~ (all_52_2 = all_6_2)
% 170.87/26.05    (10)   ~ (all_52_3 = all_14_2)
% 170.87/26.05    (11)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.87/26.05    (12)  all_54_3 = all_52_12
% 170.87/26.05    (13)  all_56_5 = all_52_9
% 170.87/26.05    (14)   ~ (all_52_12 = all_6_2)
% 170.87/26.05    (15)  all_58_11 = e0
% 170.91/26.05    (16)   ~ (all_14_2 = e0)
% 170.91/26.05    (17)   ~ (all_52_13 = all_4_2)
% 170.91/26.05    (18)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.91/26.05    (19)  op(e0, all_52_3) = all_58_12
% 170.91/26.05    (20)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.91/26.05    (21)  all_58_30 = e0
% 170.91/26.05    (22)  all_58_31 = all_14_2
% 170.91/26.05    (23)   ~ (all_52_3 = all_6_2)
% 170.91/26.05    (24)  all_54_2 = all_52_8
% 170.91/26.05    (25)   ~ (all_52_6 = all_52_7)
% 170.91/26.05    (26)  all_56_0 = all_6_2
% 170.91/26.05    (27)   ~ (all_52_9 = all_10_2)
% 170.91/26.05    (28)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 170.91/26.05    (29)  op(e3, e1) = all_52_8
% 170.91/26.05    (30)  op(e2, all_4_2) = all_58_5
% 170.91/26.05    (31)  all_58_20 = e0
% 170.91/26.05    (32)  all_58_19 = all_52_3
% 170.91/26.05    (33)  all_56_9 = all_52_12
% 170.91/26.05    (34)   ~ (all_52_2 = all_52_6)
% 170.91/26.05    (35)  all_56_2 = e0
% 170.91/26.05    (36)  op(e2, e2) = all_4_2
% 170.91/26.05    (37)   ~ (e3 = e2)
% 170.91/26.05    (38)  op(e3, all_52_8) = all_58_2
% 170.91/26.05    (39)   ~ (all_52_6 = all_10_2)
% 170.91/26.05    (40)   ~ (all_52_2 = e0)
% 170.91/26.05    (41)   ~ (all_52_7 = all_14_2)
% 170.91/26.05    (42)  all_56_1 = e0
% 170.91/26.05    (43)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 170.91/26.05    (44)   ~ (all_52_13 = all_14_2)
% 170.91/26.05    (45)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.91/26.05    (46)  all_58_18 = all_52_2
% 170.91/26.05    (47)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.91/26.05    (48)  all_58_16 = all_6_2
% 170.91/26.05    (49)  all_56_13 = all_52_7
% 170.91/26.05    (50)  op(e0, e3) = all_52_3
% 170.91/26.05    (51)   ~ (all_52_12 = e0)
% 170.91/26.05    (52)   ~ (e3 = e0)
% 170.91/26.05    (53)  all_58_29 = all_52_13
% 170.91/26.05    (54)   ~ (all_52_13 = e0)
% 170.91/26.05    (55)   ~ (all_4_2 = e0)
% 170.91/26.05    (56)   ~ (all_6_2 = e0)
% 170.91/26.05    (57)  op(e0, all_4_2) = all_4_0
% 170.91/26.05    (58)   ~ (all_52_8 = all_10_2)
% 170.91/26.05    (59)  all_56_4 = all_52_8
% 170.91/26.05    (60)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 170.91/26.05    (61)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 170.91/26.05    (62)  all_54_10 = all_10_2
% 170.91/26.05    (63)  all_54_15 = all_14_2
% 170.91/26.05    (64)  all_44_2 = all_4_2
% 170.91/26.05    (65)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 170.91/26.05    (66)  all_58_17 = e0
% 170.91/26.05    (67)   ~ (all_44_0 = e1) |  ~ (all_44_2 = e3)
% 170.91/26.05    (68)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.91/26.05    (69)   ~ (all_52_8 = all_6_2)
% 170.91/26.05    (70)  all_56_6 = all_52_2
% 170.91/26.05    (71)   ~ (all_52_7 = e0)
% 170.91/26.05    (72)  all_58_22 = all_52_6
% 170.91/26.05    (73)  all_56_3 = all_4_2
% 170.91/26.05    (74)  all_54_0 = all_6_2
% 170.91/26.05    (75)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 170.91/26.05    (76)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 170.91/26.05    (77)   ~ (all_52_2 = all_52_3)
% 170.91/26.05    (78)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.91/26.05            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.91/26.05    (79)  all_54_12 = all_52_3
% 170.91/26.05    (80)  op(e0, all_14_2) = all_58_15
% 170.91/26.05    (81)  all_58_21 = all_4_2
% 170.91/26.05    (82)  all_56_10 = all_52_13
% 170.91/26.05    (83)   ~ (all_52_3 = e0)
% 170.91/26.05    (84)   ~ (e2 = e0)
% 170.91/26.05    (85)  all_58_28 = all_52_12
% 170.91/26.05    (86)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 170.91/26.05    (87)   ~ (e1 = e0)
% 170.91/26.05    (88)  all_56_7 = all_52_6
% 170.91/26.05    (89)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 170.91/26.05            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 170.91/26.05            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 170.91/26.05            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 170.91/26.05            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 170.91/26.05            (all_58_15 = e0))
% 170.91/26.05    (90)   ~ (all_52_8 = e0)
% 170.91/26.05    (91)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 170.91/26.05    (92)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 170.91/26.05    (93)   ~ (all_52_12 = all_52_13)
% 170.91/26.05  
% 170.91/26.05  Begin of proof
% 170.91/26.05  | 
% 170.91/26.05  | BETA: splitting (68) gives:
% 170.91/26.05  | 
% 170.91/26.05  | Case 1:
% 170.91/26.05  | | 
% 170.91/26.05  | |   (94)  all_58_23 = e0
% 170.91/26.05  | | 
% 170.91/26.05  | | COMBINE_EQS: (7), (94) imply:
% 170.91/26.05  | |   (95)  all_52_7 = e0
% 170.91/26.05  | | 
% 170.91/26.05  | | REDUCE: (71), (95) imply:
% 170.91/26.05  | |   (96)  $false
% 170.91/26.05  | | 
% 170.91/26.05  | | CLOSE: (96) is inconsistent.
% 170.91/26.05  | | 
% 170.91/26.05  | Case 2:
% 170.91/26.05  | | 
% 170.91/26.05  | |   (97)   ~ (all_58_23 = e0)
% 170.91/26.05  | |   (98)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 170.91/26.05  | | 
% 170.91/26.05  | | BETA: splitting (11) gives:
% 170.91/26.05  | | 
% 170.91/26.05  | | Case 1:
% 170.91/26.05  | | | 
% 170.91/26.05  | | |   (99)  all_58_19 = e0
% 170.91/26.05  | | | 
% 170.91/26.05  | | | COMBINE_EQS: (32), (99) imply:
% 170.91/26.05  | | |   (100)  all_52_3 = e0
% 170.91/26.05  | | | 
% 170.91/26.05  | | | REDUCE: (83), (100) imply:
% 170.91/26.05  | | |   (101)  $false
% 170.91/26.05  | | | 
% 170.91/26.05  | | | CLOSE: (101) is inconsistent.
% 170.91/26.05  | | | 
% 170.91/26.05  | | Case 2:
% 170.91/26.05  | | | 
% 170.91/26.05  | | |   (102)   ~ (all_58_19 = e0)
% 170.91/26.05  | | |   (103)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 170.91/26.05  | | | 
% 170.91/26.05  | | | BETA: splitting (20) gives:
% 170.91/26.05  | | | 
% 170.91/26.05  | | | Case 1:
% 170.91/26.05  | | | | 
% 170.91/26.05  | | | |   (104)  all_58_31 = e0
% 170.91/26.05  | | | | 
% 170.91/26.05  | | | | COMBINE_EQS: (22), (104) imply:
% 170.91/26.05  | | | |   (105)  all_14_2 = e0
% 170.91/26.05  | | | | 
% 170.91/26.05  | | | | REDUCE: (16), (105) imply:
% 170.91/26.05  | | | |   (106)  $false
% 170.91/26.05  | | | | 
% 170.91/26.05  | | | | CLOSE: (106) is inconsistent.
% 170.91/26.05  | | | | 
% 170.91/26.05  | | | Case 2:
% 170.91/26.05  | | | | 
% 170.91/26.05  | | | |   (107)   ~ (all_58_31 = e0)
% 170.91/26.05  | | | |   (108)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 170.91/26.05  | | | | 
% 170.91/26.05  | | | | BETA: splitting (43) gives:
% 170.91/26.05  | | | | 
% 170.91/26.05  | | | | Case 1:
% 170.91/26.05  | | | | | 
% 170.91/26.05  | | | | |   (109)  all_56_0 = e2
% 170.91/26.05  | | | | | 
% 170.91/26.05  | | | | | COMBINE_EQS: (26), (109) imply:
% 170.91/26.05  | | | | |   (110)  all_6_2 = e2
% 170.91/26.05  | | | | | 
% 170.91/26.05  | | | | | COMBINE_EQS: (48), (110) imply:
% 170.91/26.05  | | | | |   (111)  all_58_16 = e2
% 170.91/26.05  | | | | | 
% 170.91/26.05  | | | | | BETA: splitting (103) gives:
% 170.91/26.05  | | | | | 
% 170.91/26.05  | | | | | Case 1:
% 170.91/26.05  | | | | | | 
% 170.91/26.05  | | | | | |   (112)  all_58_18 = e1
% 170.91/26.05  | | | | | | 
% 170.91/26.05  | | | | | | COMBINE_EQS: (46), (112) imply:
% 170.91/26.05  | | | | | |   (113)  all_52_2 = e1
% 170.91/26.05  | | | | | | 
% 170.91/26.05  | | | | | | REF_CLOSE: (2), (30), (31), (34), (36), (52), (55), (72), (78),
% 170.91/26.05  | | | | | |            (81), (98), (113) are inconsistent by sub-proof #112.
% 170.91/26.05  | | | | | | 
% 170.91/26.05  | | | | | Case 2:
% 170.91/26.05  | | | | | | 
% 170.91/26.05  | | | | | |   (114)  all_58_16 = e3 | all_58_17 = e2
% 170.91/26.05  | | | | | | 
% 170.91/26.05  | | | | | | REF_CLOSE: (37), (66), (84), (111), (114) are inconsistent by
% 170.91/26.05  | | | | | |            sub-proof #705.
% 170.91/26.05  | | | | | | 
% 170.91/26.05  | | | | | End of split
% 170.91/26.05  | | | | | 
% 170.91/26.05  | | | | Case 2:
% 170.91/26.05  | | | | | 
% 170.91/26.05  | | | | |   (115)   ~ (all_56_0 = e2)
% 170.91/26.05  | | | | |   (116)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 170.91/26.05  | | | | | 
% 170.91/26.05  | | | | | REDUCE: (26), (115) imply:
% 170.91/26.05  | | | | |   (117)   ~ (all_6_2 = e2)
% 170.91/26.05  | | | | | 
% 170.91/26.05  | | | | | BETA: splitting (18) gives:
% 170.91/26.05  | | | | | 
% 170.91/26.05  | | | | | Case 1:
% 170.91/26.05  | | | | | | 
% 170.91/26.05  | | | | | |   (118)  all_56_0 = e3
% 170.91/26.05  | | | | | | 
% 170.91/26.05  | | | | | | COMBINE_EQS: (26), (118) imply:
% 170.91/26.05  | | | | | |   (119)  all_6_2 = e3
% 170.91/26.05  | | | | | | 
% 170.91/26.05  | | | | | | COMBINE_EQS: (48), (119) imply:
% 170.91/26.05  | | | | | |   (120)  all_58_16 = e3
% 170.91/26.05  | | | | | | 
% 170.91/26.05  | | | | | | REDUCE: (14), (119) imply:
% 170.91/26.05  | | | | | |   (121)   ~ (all_52_12 = e3)
% 170.91/26.05  | | | | | | 
% 170.91/26.05  | | | | | | BETA: splitting (108) gives:
% 170.91/26.05  | | | | | | 
% 170.91/26.05  | | | | | | Case 1:
% 170.91/26.05  | | | | | | | 
% 170.91/26.05  | | | | | | |   (122)  all_58_30 = e1
% 170.91/26.05  | | | | | | | 
% 170.91/26.05  | | | | | | | REF_CLOSE: (21), (87), (122) are inconsistent by sub-proof #838.
% 170.91/26.05  | | | | | | | 
% 170.91/26.05  | | | | | | Case 2:
% 170.91/26.05  | | | | | | | 
% 170.91/26.05  | | | | | | |   (123)  all_58_28 = e3 | all_58_29 = e2
% 170.91/26.05  | | | | | | | 
% 170.91/26.05  | | | | | | | BETA: splitting (123) gives:
% 170.91/26.05  | | | | | | | 
% 170.91/26.05  | | | | | | | Case 1:
% 170.91/26.05  | | | | | | | | 
% 170.91/26.05  | | | | | | | |   (124)  all_58_29 = e2
% 170.91/26.05  | | | | | | | | 
% 170.91/26.05  | | | | | | | | COMBINE_EQS: (53), (124) imply:
% 170.91/26.05  | | | | | | | |   (125)  all_52_13 = e2
% 170.91/26.05  | | | | | | | | 
% 170.91/26.05  | | | | | | | | COMBINE_EQS: (82), (125) imply:
% 170.91/26.05  | | | | | | | |   (126)  all_56_10 = e2
% 170.91/26.05  | | | | | | | | 
% 170.91/26.05  | | | | | | | | REDUCE: (93), (125) imply:
% 170.91/26.05  | | | | | | | |   (127)   ~ (all_52_12 = e2)
% 170.91/26.05  | | | | | | | | 
% 170.91/26.05  | | | | | | | | REDUCE: (44), (125) imply:
% 170.91/26.05  | | | | | | | |   (128)   ~ (all_14_2 = e2)
% 170.91/26.05  | | | | | | | | 
% 170.91/26.05  | | | | | | | | SIMP: (128) implies:
% 170.91/26.05  | | | | | | | |   (129)   ~ (all_14_2 = e2)
% 170.91/26.05  | | | | | | | | 
% 170.91/26.05  | | | | | | | | BETA: splitting (98) gives:
% 170.91/26.05  | | | | | | | | 
% 170.91/26.05  | | | | | | | | Case 1:
% 170.91/26.05  | | | | | | | | | 
% 170.91/26.05  | | | | | | | | |   (130)  all_58_22 = e1
% 170.91/26.05  | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | COMBINE_EQS: (72), (130) imply:
% 170.91/26.05  | | | | | | | | |   (131)  all_52_6 = e1
% 170.91/26.05  | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | REDUCE: (34), (131) imply:
% 170.91/26.05  | | | | | | | | |   (132)   ~ (all_52_2 = e1)
% 170.91/26.05  | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | REDUCE: (25), (131) imply:
% 170.91/26.05  | | | | | | | | |   (133)   ~ (all_52_7 = e1)
% 170.91/26.05  | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | SIMP: (133) implies:
% 170.91/26.05  | | | | | | | | |   (134)   ~ (all_52_7 = e1)
% 170.91/26.05  | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | REDUCE: (39), (131) imply:
% 170.91/26.05  | | | | | | | | |   (135)   ~ (all_10_2 = e1)
% 170.91/26.05  | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | SIMP: (135) implies:
% 170.91/26.05  | | | | | | | | |   (136)   ~ (all_10_2 = e1)
% 170.91/26.05  | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | BETA: splitting (28) gives:
% 170.91/26.05  | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | Case 1:
% 170.91/26.05  | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | |   (137)  all_54_3 = e1
% 170.91/26.05  | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | COMBINE_EQS: (12), (137) imply:
% 170.91/26.05  | | | | | | | | | |   (138)  all_52_12 = e1
% 170.91/26.05  | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | SIMP: (138) implies:
% 170.91/26.05  | | | | | | | | | |   (139)  all_52_12 = e1
% 170.91/26.05  | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | COMBINE_EQS: (33), (139) imply:
% 170.91/26.05  | | | | | | | | | |   (140)  all_56_9 = e1
% 170.91/26.05  | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | COMBINE_EQS: (85), (139) imply:
% 170.91/26.05  | | | | | | | | | |   (141)  all_58_28 = e1
% 170.91/26.05  | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | REDUCE: (6), (139) imply:
% 170.91/26.05  | | | | | | | | | |   (142)   ~ (all_52_8 = e1)
% 170.91/26.05  | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | REDUCE: (1), (139) imply:
% 170.91/26.05  | | | | | | | | | |   (143)   ~ (all_14_2 = e1)
% 170.91/26.05  | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | SIMP: (143) implies:
% 170.91/26.05  | | | | | | | | | |   (144)   ~ (all_14_2 = e1)
% 170.91/26.05  | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | REDUCE: (121), (139) imply:
% 170.91/26.05  | | | | | | | | | |   (145)   ~ (e3 = e1)
% 170.91/26.05  | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | SIMP: (145) implies:
% 170.91/26.05  | | | | | | | | | |   (146)   ~ (e3 = e1)
% 170.91/26.05  | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | REDUCE: (127), (139) imply:
% 170.91/26.05  | | | | | | | | | |   (147)   ~ (e2 = e1)
% 170.91/26.05  | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | SIMP: (147) implies:
% 170.91/26.05  | | | | | | | | | |   (148)   ~ (e2 = e1)
% 170.91/26.05  | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | BETA: splitting (45) gives:
% 170.91/26.05  | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | Case 1:
% 170.91/26.05  | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | |   (149)  all_56_0 = e1
% 170.91/26.05  | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | COMBINE_EQS: (118), (149) imply:
% 170.91/26.05  | | | | | | | | | | |   (150)  e3 = e1
% 170.91/26.05  | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | REF_CLOSE: (11), (32), (46), (66), (83), (84), (120), (132),
% 170.91/26.05  | | | | | | | | | | |            (146), (150) are inconsistent by sub-proof #369.
% 170.91/26.05  | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | Case 2:
% 170.91/26.05  | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | |   (151)   ~ (all_56_0 = e1)
% 170.91/26.05  | | | | | | | | | | |   (152)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.91/26.05  | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | BETA: splitting (116) gives:
% 170.91/26.05  | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | Case 1:
% 170.91/26.05  | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | |   (153)  all_56_1 = e2
% 170.91/26.05  | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | COMBINE_EQS: (42), (153) imply:
% 170.91/26.05  | | | | | | | | | | | |   (154)  e2 = e0
% 170.91/26.05  | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | COMBINE_EQS: (124), (154) imply:
% 170.91/26.05  | | | | | | | | | | | |   (155)  all_58_29 = e0
% 170.91/26.05  | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | REF_CLOSE: (84), (123), (141), (146), (155) are inconsistent
% 170.91/26.05  | | | | | | | | | | | |            by sub-proof #747.
% 170.91/26.05  | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | Case 2:
% 170.91/26.05  | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | |   (156)  all_56_4 = e2 | all_56_9 = e2
% 170.91/26.05  | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | BETA: splitting (156) gives:
% 170.91/26.05  | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | Case 1:
% 170.91/26.05  | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | |   (157)  all_56_4 = e2
% 170.91/26.05  | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | COMBINE_EQS: (59), (157) imply:
% 170.91/26.05  | | | | | | | | | | | | |   (158)  all_52_8 = e2
% 170.91/26.05  | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | SIMP: (158) implies:
% 170.91/26.05  | | | | | | | | | | | | |   (159)  all_52_8 = e2
% 170.91/26.05  | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | REDUCE: (58), (159) imply:
% 170.91/26.05  | | | | | | | | | | | | |   (160)   ~ (all_10_2 = e2)
% 170.91/26.05  | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | SIMP: (160) implies:
% 170.91/26.05  | | | | | | | | | | | | |   (161)   ~ (all_10_2 = e2)
% 170.91/26.05  | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | BETA: splitting (61) gives:
% 170.91/26.05  | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | Case 1:
% 170.91/26.05  | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | |   (162)  all_54_10 = e1
% 170.91/26.05  | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | REF_CLOSE: (62), (136), (162) are inconsistent by sub-proof
% 170.91/26.05  | | | | | | | | | | | | | |            #931.
% 170.91/26.05  | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | Case 2:
% 170.91/26.05  | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | |   (163)  all_54_10 = e3 | all_54_10 = e2
% 170.91/26.05  | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 170.91/26.05  | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | Case 1:
% 170.91/26.05  | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | |   (164)  all_56_12 = e1
% 170.91/26.05  | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | COMBINE_EQS: (3), (164) imply:
% 170.91/26.05  | | | | | | | | | | | | | | |   (165)  all_52_3 = e1
% 170.91/26.05  | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | SIMP: (165) implies:
% 170.91/26.05  | | | | | | | | | | | | | | |   (166)  all_52_3 = e1
% 170.91/26.05  | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | REDUCE: (50), (166) imply:
% 170.91/26.05  | | | | | | | | | | | | | | |   (167)  op(e0, e3) = e1
% 170.91/26.05  | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | BETA: splitting (75) gives:
% 170.91/26.05  | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | Case 1:
% 170.91/26.05  | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | |   (168)  all_54_15 = e1
% 170.91/26.05  | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | REF_CLOSE: (63), (144), (168) are inconsistent by sub-proof
% 170.91/26.05  | | | | | | | | | | | | | | | |            #752.
% 170.91/26.05  | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | Case 2:
% 170.91/26.05  | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | |   (169)  all_54_15 = e3 | all_54_15 = e2
% 170.91/26.05  | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 170.91/26.05  | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | Case 1:
% 170.91/26.05  | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | |   (170)  all_54_10 = e2
% 170.91/26.05  | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | REF_CLOSE: (62), (161), (170) are inconsistent by sub-proof
% 170.91/26.05  | | | | | | | | | | | | | | | | |            #930.
% 170.91/26.05  | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | Case 2:
% 170.91/26.05  | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | |   (171)  all_54_10 = e3
% 170.91/26.05  | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | COMBINE_EQS: (62), (171) imply:
% 170.91/26.05  | | | | | | | | | | | | | | | | |   (172)  all_10_2 = e3
% 170.91/26.05  | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | SIMP: (172) implies:
% 170.91/26.05  | | | | | | | | | | | | | | | | |   (173)  all_10_2 = e3
% 170.91/26.05  | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | REDUCE: (27), (173) imply:
% 170.91/26.05  | | | | | | | | | | | | | | | | |   (174)   ~ (all_52_9 = e3)
% 170.91/26.05  | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | BETA: splitting (92) gives:
% 170.91/26.05  | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | Case 1:
% 170.91/26.05  | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | |   (175)  all_56_2 = e3
% 170.91/26.05  | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (35), (175) imply:
% 170.91/26.05  | | | | | | | | | | | | | | | | | |   (176)  e3 = e0
% 170.91/26.05  | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | REDUCE: (52), (176) imply:
% 170.91/26.05  | | | | | | | | | | | | | | | | | |   (177)  $false
% 170.91/26.05  | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | CLOSE: (177) is inconsistent.
% 170.91/26.05  | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | Case 2:
% 170.91/26.05  | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | |   (178)  all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 170.91/26.05  | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 170.91/26.05  | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | Case 1:
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | |   (179)  all_54_15 = e2
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (129), (179) are inconsistent by sub-proof
% 170.91/26.05  | | | | | | | | | | | | | | | | | | |            #615.
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | Case 2:
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | |   (180)  all_54_15 = e3
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (63), (180) imply:
% 170.91/26.05  | | | | | | | | | | | | | | | | | | |   (181)  all_14_2 = e3
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | SIMP: (181) implies:
% 170.91/26.05  | | | | | | | | | | | | | | | | | | |   (182)  all_14_2 = e3
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | REDUCE: (80), (182) imply:
% 170.91/26.05  | | | | | | | | | | | | | | | | | | |   (183)  op(e0, e3) = all_58_15
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | Case 1:
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | |   (184)  all_56_3 = e3
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (73), (184) imply:
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | |   (185)  all_4_2 = e3
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | SIMP: (185) implies:
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | |   (186)  all_4_2 = e3
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (64), (186) imply:
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | |   (187)  all_44_2 = e3
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (186) imply:
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | |   (188)  op(e0, e3) = all_4_0
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | |   (189)   ~ (all_44_0 = e1)
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (189) imply:
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | |   (190)   ~ (all_4_0 = e1)
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (78) with all_4_0, all_58_15, e3,
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | |              e0, simplifying with (183), (188) gives:
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | |   (191)  all_58_15 = all_4_0
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (78) with e1, all_58_15, e3, e0,
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | |              simplifying with (167), (183) gives:
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | |   (192)  all_58_15 = e1
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (191), (192) imply:
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | |   (193)  all_4_0 = e1
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | | SIMP: (193) implies:
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | |   (194)  all_4_0 = e1
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | | REDUCE: (190), (194) imply:
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | |   (195)  $false
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | | CLOSE: (195) is inconsistent.
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | |   (196)   ~ (all_44_2 = e3)
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (196) imply:
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | |   (197)  $false
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | | CLOSE: (197) is inconsistent.
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | End of split
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | Case 2:
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | |   (198)  all_56_5 = e3 | all_56_10 = e3
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (37), (126), (174), (198) are inconsistent
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | |            by sub-proof #648.
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | End of split
% 170.91/26.05  | | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | | End of split
% 170.91/26.05  | | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | | End of split
% 170.91/26.05  | | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | | End of split
% 170.91/26.05  | | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | End of split
% 170.91/26.05  | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | Case 2:
% 170.91/26.05  | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | |   (199)   ~ (all_56_12 = e1)
% 170.91/26.05  | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | REDUCE: (3), (199) imply:
% 170.91/26.05  | | | | | | | | | | | | | | |   (200)   ~ (all_52_3 = e1)
% 170.91/26.05  | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | | REF_CLOSE: (3), (7), (31), (34), (35), (40), (42), (49),
% 170.91/26.05  | | | | | | | | | | | | | | |            (52), (68), (70), (71), (72), (73), (77), (81),
% 170.91/26.05  | | | | | | | | | | | | | | |            (86), (87), (88), (134), (148), (152), (200) are
% 170.91/26.05  | | | | | | | | | | | | | | |            inconsistent by sub-proof #111.
% 170.91/26.05  | | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | | End of split
% 170.91/26.05  | | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | End of split
% 170.91/26.05  | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | Case 2:
% 170.91/26.05  | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | |   (201)  all_56_9 = e2
% 170.91/26.05  | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | COMBINE_EQS: (140), (201) imply:
% 170.91/26.05  | | | | | | | | | | | | |   (202)  e2 = e1
% 170.91/26.05  | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | COMBINE_EQS: (124), (202) imply:
% 170.91/26.05  | | | | | | | | | | | | |   (203)  all_58_29 = e1
% 170.91/26.05  | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | | REF_CLOSE: (1), (4), (6), (7), (9), (11), (14), (15), (16),
% 170.91/26.05  | | | | | | | | | | | | |            (19), (23), (24), (25), (26), (29), (30), (31),
% 170.91/26.05  | | | | | | | | | | | | |            (32), (34), (36), (38), (40), (41), (42), (46),
% 170.91/26.05  | | | | | | | | | | | | |            (47), (48), (49), (50), (56), (59), (60), (63),
% 170.91/26.05  | | | | | | | | | | | | |            (65), (66), (68), (69), (71), (72), (73), (74),
% 170.91/26.05  | | | | | | | | | | | | |            (75), (76), (77), (78), (79), (81), (83), (85),
% 170.91/26.05  | | | | | | | | | | | | |            (86), (88), (89), (90), (123), (144), (148), (203)
% 170.91/26.05  | | | | | | | | | | | | |            are inconsistent by sub-proof #109.
% 170.91/26.05  | | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | | End of split
% 170.91/26.05  | | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | | End of split
% 170.91/26.05  | | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | End of split
% 170.91/26.05  | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | Case 2:
% 170.91/26.05  | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | |   (204)  all_54_3 = e3 | all_54_3 = e2
% 170.91/26.05  | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | | REF_CLOSE: (12), (121), (127), (204) are inconsistent by
% 170.91/26.05  | | | | | | | | | |            sub-proof #891.
% 170.91/26.05  | | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | End of split
% 170.91/26.05  | | | | | | | | | 
% 170.91/26.05  | | | | | | | | Case 2:
% 170.91/26.05  | | | | | | | | | 
% 170.91/26.05  | | | | | | | | |   (205)  all_58_20 = e3 | all_58_21 = e2
% 170.91/26.05  | | | | | | | | | 
% 170.91/26.05  | | | | | | | | | REF_CLOSE: (17), (31), (52), (53), (81), (85), (121), (123),
% 170.91/26.05  | | | | | | | | |            (205) are inconsistent by sub-proof #214.
% 170.91/26.05  | | | | | | | | | 
% 170.91/26.05  | | | | | | | | End of split
% 170.91/26.05  | | | | | | | | 
% 170.91/26.05  | | | | | | | Case 2:
% 170.91/26.05  | | | | | | | | 
% 170.91/26.05  | | | | | | | |   (206)  all_58_28 = e3
% 170.91/26.05  | | | | | | | | 
% 170.91/26.05  | | | | | | | | COMBINE_EQS: (85), (206) imply:
% 170.91/26.05  | | | | | | | |   (207)  all_52_12 = e3
% 170.91/26.05  | | | | | | | | 
% 170.91/26.05  | | | | | | | | REDUCE: (121), (207) imply:
% 170.91/26.05  | | | | | | | |   (208)  $false
% 170.91/26.05  | | | | | | | | 
% 170.91/26.05  | | | | | | | | CLOSE: (208) is inconsistent.
% 170.91/26.05  | | | | | | | | 
% 170.91/26.05  | | | | | | | End of split
% 170.91/26.05  | | | | | | | 
% 170.91/26.05  | | | | | | End of split
% 170.91/26.05  | | | | | | 
% 170.91/26.05  | | | | | Case 2:
% 170.91/26.05  | | | | | | 
% 170.91/26.05  | | | | | |   (209)   ~ (all_56_0 = e3)
% 170.91/26.05  | | | | | | 
% 170.91/26.05  | | | | | | REDUCE: (26), (209) imply:
% 170.91/26.05  | | | | | |   (210)   ~ (all_6_2 = e3)
% 170.91/26.05  | | | | | | 
% 170.91/26.05  | | | | | | BETA: splitting (103) gives:
% 170.91/26.05  | | | | | | 
% 170.91/26.05  | | | | | | Case 1:
% 170.91/26.05  | | | | | | | 
% 170.91/26.05  | | | | | | |   (211)  all_58_18 = e1
% 170.91/26.05  | | | | | | | 
% 170.91/26.05  | | | | | | | COMBINE_EQS: (46), (211) imply:
% 170.91/26.05  | | | | | | |   (212)  all_52_2 = e1
% 170.91/26.05  | | | | | | | 
% 170.91/26.05  | | | | | | | REDUCE: (9), (212) imply:
% 170.91/26.05  | | | | | | |   (213)   ~ (all_6_2 = e1)
% 170.91/26.05  | | | | | | | 
% 170.91/26.05  | | | | | | | SIMP: (213) implies:
% 170.91/26.05  | | | | | | |   (214)   ~ (all_6_2 = e1)
% 170.91/26.05  | | | | | | | 
% 170.91/26.05  | | | | | | | REF_CLOSE: (4), (56), (74), (117), (210), (214) are inconsistent
% 170.91/26.05  | | | | | | |            by sub-proof #110.
% 170.91/26.05  | | | | | | | 
% 170.91/26.05  | | | | | | Case 2:
% 170.91/26.05  | | | | | | | 
% 170.91/26.05  | | | | | | |   (215)  all_58_16 = e3 | all_58_17 = e2
% 170.91/26.05  | | | | | | | 
% 170.91/26.05  | | | | | | | REF_CLOSE: (48), (66), (84), (210), (215) are inconsistent by
% 170.91/26.05  | | | | | | |            sub-proof #814.
% 170.91/26.05  | | | | | | | 
% 170.91/26.05  | | | | | | End of split
% 170.91/26.05  | | | | | | 
% 170.91/26.05  | | | | | End of split
% 170.91/26.05  | | | | | 
% 170.91/26.05  | | | | End of split
% 170.91/26.05  | | | | 
% 170.91/26.05  | | | End of split
% 170.91/26.05  | | | 
% 170.91/26.05  | | End of split
% 170.91/26.05  | | 
% 170.91/26.05  | End of split
% 170.91/26.05  | 
% 170.91/26.05  End of proof
% 170.91/26.05  
% 170.91/26.05  Sub-proof #109 shows that the following formulas are inconsistent:
% 170.91/26.05  ----------------------------------------------------------------
% 170.91/26.05    (1)   ~ (all_52_12 = all_14_2)
% 170.91/26.05    (2)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 170.91/26.05    (3)   ~ (all_52_8 = all_52_12)
% 170.91/26.05    (4)  all_58_23 = all_52_7
% 170.91/26.05    (5)   ~ (all_52_2 = all_6_2)
% 170.91/26.05    (6)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.91/26.05    (7)   ~ (all_52_12 = all_6_2)
% 170.91/26.05    (8)   ~ (all_14_2 = e1)
% 170.91/26.05    (9)  all_58_11 = e0
% 170.91/26.05    (10)   ~ (all_14_2 = e0)
% 170.91/26.06    (11)  all_58_29 = e1
% 170.91/26.06    (12)  op(e0, all_52_3) = all_58_12
% 170.91/26.06    (13)   ~ (all_52_3 = all_6_2)
% 170.91/26.06    (14)  all_54_2 = all_52_8
% 170.91/26.06    (15)   ~ (all_52_6 = all_52_7)
% 170.91/26.06    (16)  all_56_0 = all_6_2
% 170.91/26.06    (17)  all_58_28 = e3 | all_58_29 = e2
% 170.91/26.06    (18)  op(e3, e1) = all_52_8
% 170.91/26.06    (19)  op(e2, all_4_2) = all_58_5
% 170.91/26.06    (20)  all_58_20 = e0
% 170.91/26.06    (21)  all_58_19 = all_52_3
% 170.91/26.06    (22)   ~ (all_52_2 = all_52_6)
% 170.91/26.06    (23)  op(e2, e2) = all_4_2
% 170.91/26.06    (24)  op(e3, all_52_8) = all_58_2
% 170.91/26.06    (25)   ~ (e2 = e1)
% 170.91/26.06    (26)   ~ (all_52_2 = e0)
% 170.91/26.06    (27)   ~ (all_52_7 = all_14_2)
% 170.91/26.06    (28)  all_56_1 = e0
% 170.91/26.06    (29)  all_58_18 = all_52_2
% 170.91/26.06    (30)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.91/26.06    (31)  all_58_16 = all_6_2
% 170.91/26.06    (32)  all_56_13 = all_52_7
% 170.91/26.06    (33)  op(e0, e3) = all_52_3
% 170.91/26.06    (34)   ~ (all_6_2 = e0)
% 170.91/26.06    (35)  all_56_4 = all_52_8
% 170.91/26.06    (36)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 170.91/26.06    (37)  all_54_15 = all_14_2
% 170.91/26.06    (38)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 170.91/26.06    (39)  all_58_17 = e0
% 170.91/26.06    (40)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.91/26.06    (41)   ~ (all_52_8 = all_6_2)
% 170.91/26.06    (42)   ~ (all_52_7 = e0)
% 170.91/26.06    (43)  all_58_22 = all_52_6
% 170.91/26.06    (44)  all_56_3 = all_4_2
% 170.91/26.06    (45)  all_54_0 = all_6_2
% 170.91/26.06    (46)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 170.91/26.06    (47)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 170.91/26.06    (48)   ~ (all_52_2 = all_52_3)
% 170.91/26.06    (49)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.91/26.06            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.91/26.06    (50)  all_54_12 = all_52_3
% 170.91/26.06    (51)  all_58_21 = all_4_2
% 170.91/26.06    (52)   ~ (all_52_3 = e0)
% 170.91/26.06    (53)  all_58_28 = all_52_12
% 170.91/26.06    (54)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 170.91/26.06    (55)  all_56_7 = all_52_6
% 170.91/26.06    (56)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 170.91/26.06            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 170.91/26.06            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 170.91/26.06            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 170.91/26.06            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 170.91/26.06            (all_58_15 = e0))
% 170.91/26.06    (57)   ~ (all_52_8 = e0)
% 170.91/26.06  
% 170.91/26.06  Begin of proof
% 170.91/26.06  | 
% 170.91/26.06  | BETA: splitting (17) gives:
% 170.91/26.06  | 
% 170.91/26.06  | Case 1:
% 170.91/26.06  | | 
% 170.91/26.06  | |   (58)  all_58_29 = e2
% 170.91/26.06  | | 
% 170.91/26.06  | | REF_CLOSE: (11), (25), (58) are inconsistent by sub-proof #858.
% 170.91/26.06  | | 
% 170.91/26.06  | Case 2:
% 170.91/26.06  | | 
% 170.91/26.06  | |   (59)  all_58_28 = e3
% 170.91/26.06  | | 
% 170.91/26.06  | | COMBINE_EQS: (53), (59) imply:
% 170.91/26.06  | |   (60)  all_52_12 = e3
% 170.91/26.06  | | 
% 170.91/26.06  | | REDUCE: (3), (60) imply:
% 170.91/26.06  | |   (61)   ~ (all_52_8 = e3)
% 170.91/26.06  | | 
% 170.91/26.06  | | REDUCE: (1), (60) imply:
% 170.91/26.06  | |   (62)   ~ (all_14_2 = e3)
% 170.91/26.06  | | 
% 170.91/26.06  | | SIMP: (62) implies:
% 170.91/26.06  | |   (63)   ~ (all_14_2 = e3)
% 170.91/26.06  | | 
% 170.91/26.06  | | REDUCE: (7), (60) imply:
% 170.91/26.06  | |   (64)   ~ (all_6_2 = e3)
% 170.91/26.06  | | 
% 170.91/26.06  | | SIMP: (64) implies:
% 170.91/26.06  | |   (65)   ~ (all_6_2 = e3)
% 170.91/26.06  | | 
% 170.91/26.06  | | BETA: splitting (46) gives:
% 170.91/26.06  | | 
% 170.91/26.06  | | Case 1:
% 170.91/26.06  | | | 
% 170.91/26.06  | | |   (66)  all_54_15 = e1
% 170.91/26.06  | | | 
% 170.91/26.06  | | | COMBINE_EQS: (37), (66) imply:
% 170.91/26.06  | | |   (67)  all_14_2 = e1
% 170.91/26.06  | | | 
% 170.91/26.06  | | | REDUCE: (8), (67) imply:
% 170.91/26.06  | | |   (68)  $false
% 170.91/26.06  | | | 
% 170.91/26.06  | | | CLOSE: (68) is inconsistent.
% 170.91/26.06  | | | 
% 170.91/26.06  | | Case 2:
% 170.91/26.06  | | | 
% 170.91/26.06  | | |   (69)  all_54_15 = e3 | all_54_15 = e2
% 170.91/26.06  | | | 
% 170.91/26.06  | | | BETA: splitting (69) gives:
% 170.91/26.06  | | | 
% 170.91/26.06  | | | Case 1:
% 170.91/26.06  | | | | 
% 170.91/26.06  | | | |   (70)  all_54_15 = e2
% 170.91/26.06  | | | | 
% 170.91/26.06  | | | | COMBINE_EQS: (37), (70) imply:
% 170.91/26.06  | | | |   (71)  all_14_2 = e2
% 170.91/26.06  | | | | 
% 170.91/26.06  | | | | REDUCE: (27), (71) imply:
% 170.91/26.06  | | | |   (72)   ~ (all_52_7 = e2)
% 170.91/26.06  | | | | 
% 170.91/26.06  | | | | REDUCE: (10), (71) imply:
% 170.91/26.06  | | | |   (73)   ~ (e2 = e0)
% 170.91/26.06  | | | | 
% 170.91/26.06  | | | | BETA: splitting (6) gives:
% 170.91/26.06  | | | | 
% 170.91/26.06  | | | | Case 1:
% 170.91/26.06  | | | | | 
% 170.91/26.06  | | | | |   (74)  all_58_19 = e0
% 170.91/26.06  | | | | | 
% 170.91/26.06  | | | | | COMBINE_EQS: (21), (74) imply:
% 170.91/26.06  | | | | |   (75)  all_52_3 = e0
% 170.91/26.06  | | | | | 
% 170.91/26.06  | | | | | REDUCE: (52), (75) imply:
% 170.91/26.06  | | | | |   (76)  $false
% 170.91/26.06  | | | | | 
% 170.91/26.06  | | | | | CLOSE: (76) is inconsistent.
% 170.91/26.06  | | | | | 
% 170.91/26.06  | | | | Case 2:
% 170.91/26.06  | | | | | 
% 170.91/26.06  | | | | |   (77)   ~ (all_58_19 = e0)
% 170.91/26.06  | | | | |   (78)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 170.91/26.06  | | | | | 
% 170.91/26.06  | | | | | BETA: splitting (78) gives:
% 170.91/26.06  | | | | | 
% 170.91/26.06  | | | | | Case 1:
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | |   (79)  all_58_18 = e1
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | | COMBINE_EQS: (29), (79) imply:
% 170.91/26.06  | | | | | |   (80)  all_52_2 = e1
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | | REDUCE: (48), (80) imply:
% 170.91/26.06  | | | | | |   (81)   ~ (all_52_3 = e1)
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | | SIMP: (81) implies:
% 170.91/26.06  | | | | | |   (82)   ~ (all_52_3 = e1)
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | | REDUCE: (22), (80) imply:
% 170.91/26.06  | | | | | |   (83)   ~ (all_52_6 = e1)
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | | SIMP: (83) implies:
% 170.91/26.06  | | | | | |   (84)   ~ (all_52_6 = e1)
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | | REDUCE: (5), (80) imply:
% 170.91/26.06  | | | | | |   (85)   ~ (all_6_2 = e1)
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | | SIMP: (85) implies:
% 170.91/26.06  | | | | | |   (86)   ~ (all_6_2 = e1)
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | | REDUCE: (26), (80) imply:
% 170.91/26.06  | | | | | |   (87)   ~ (e1 = e0)
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | | BETA: splitting (30) gives:
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | | Case 1:
% 170.91/26.06  | | | | | | | 
% 170.91/26.06  | | | | | | |   (88)  all_56_0 = e2
% 170.91/26.06  | | | | | | | 
% 170.91/26.06  | | | | | | | COMBINE_EQS: (16), (88) imply:
% 170.91/26.06  | | | | | | |   (89)  all_6_2 = e2
% 170.91/26.06  | | | | | | | 
% 170.91/26.06  | | | | | | | REDUCE: (13), (89) imply:
% 170.91/26.06  | | | | | | |   (90)   ~ (all_52_3 = e2)
% 170.91/26.06  | | | | | | | 
% 170.91/26.06  | | | | | | | REDUCE: (41), (89) imply:
% 170.91/26.06  | | | | | | |   (91)   ~ (all_52_8 = e2)
% 170.91/26.06  | | | | | | | 
% 170.91/26.06  | | | | | | | BETA: splitting (38) gives:
% 170.91/26.06  | | | | | | | 
% 170.91/26.06  | | | | | | | Case 1:
% 170.91/26.06  | | | | | | | | 
% 170.91/26.06  | | | | | | | |   (92)  all_54_2 = e0
% 170.91/26.06  | | | | | | | | 
% 170.91/26.06  | | | | | | | | REF_CLOSE: (14), (57), (92) are inconsistent by sub-proof #763.
% 170.91/26.06  | | | | | | | | 
% 170.91/26.06  | | | | | | | Case 2:
% 170.91/26.06  | | | | | | | | 
% 170.91/26.06  | | | | | | | |   (93)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1
% 170.91/26.06  | | | | | | | | 
% 170.91/26.06  | | | | | | | | BETA: splitting (54) gives:
% 170.91/26.06  | | | | | | | | 
% 170.91/26.06  | | | | | | | | Case 1:
% 170.91/26.06  | | | | | | | | | 
% 170.91/26.06  | | | | | | | | |   (94)  all_56_1 = e1
% 170.91/26.06  | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | REF_CLOSE: (28), (87), (94) are inconsistent by sub-proof
% 170.91/26.06  | | | | | | | | |            #754.
% 170.91/26.06  | | | | | | | | | 
% 170.91/26.06  | | | | | | | | Case 2:
% 170.91/26.06  | | | | | | | | | 
% 170.91/26.06  | | | | | | | | |   (95)  all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 170.91/26.06  | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | BETA: splitting (36) gives:
% 170.91/26.06  | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | Case 1:
% 170.91/26.06  | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | |   (96)  all_56_4 = e1
% 170.91/26.06  | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | COMBINE_EQS: (35), (96) imply:
% 170.91/26.06  | | | | | | | | | |   (97)  all_52_8 = e1
% 170.91/26.06  | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | REDUCE: (91), (97) imply:
% 170.91/26.06  | | | | | | | | | |   (98)   ~ (e2 = e1)
% 170.91/26.06  | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | REDUCE: (24), (97) imply:
% 170.91/26.06  | | | | | | | | | |   (99)  op(e3, e1) = all_58_2
% 170.91/26.06  | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | REDUCE: (18), (97) imply:
% 170.91/26.06  | | | | | | | | | |   (100)  op(e3, e1) = e1
% 170.91/26.06  | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | BETA: splitting (47) gives:
% 170.91/26.06  | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | Case 1:
% 170.91/26.06  | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | |   (101)  all_54_12 = e1
% 170.91/26.06  | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | REF_CLOSE: (50), (82), (101) are inconsistent by sub-proof
% 170.91/26.06  | | | | | | | | | | |            #812.
% 170.91/26.06  | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | Case 2:
% 170.91/26.06  | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | |   (102)  all_54_12 = e3 | all_54_12 = e2
% 170.91/26.06  | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | BETA: splitting (102) gives:
% 170.91/26.06  | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | Case 1:
% 170.91/26.06  | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | |   (103)  all_54_12 = e2
% 170.91/26.06  | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | REF_CLOSE: (50), (90), (103) are inconsistent by sub-proof
% 170.91/26.06  | | | | | | | | | | | |            #811.
% 170.91/26.06  | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | Case 2:
% 170.91/26.06  | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | |   (104)  all_54_12 = e3
% 170.91/26.06  | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | COMBINE_EQS: (50), (104) imply:
% 170.91/26.06  | | | | | | | | | | | |   (105)  all_52_3 = e3
% 170.91/26.06  | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | SIMP: (105) implies:
% 170.91/26.06  | | | | | | | | | | | |   (106)  all_52_3 = e3
% 170.91/26.06  | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | REDUCE: (52), (106) imply:
% 170.91/26.06  | | | | | | | | | | | |   (107)   ~ (e3 = e0)
% 170.91/26.06  | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | REDUCE: (12), (106) imply:
% 170.91/26.06  | | | | | | | | | | | |   (108)  op(e0, e3) = all_58_12
% 170.91/26.06  | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | REDUCE: (33), (106) imply:
% 170.91/26.06  | | | | | | | | | | | |   (109)  op(e0, e3) = e3
% 170.91/26.06  | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | BETA: splitting (95) gives:
% 170.91/26.06  | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | Case 1:
% 170.91/26.06  | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | |   (110)  all_56_3 = e1
% 170.91/26.06  | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | COMBINE_EQS: (44), (110) imply:
% 170.91/26.06  | | | | | | | | | | | | |   (111)  all_4_2 = e1
% 170.91/26.06  | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | SIMP: (111) implies:
% 170.91/26.06  | | | | | | | | | | | | |   (112)  all_4_2 = e1
% 170.91/26.06  | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | COMBINE_EQS: (51), (112) imply:
% 170.91/26.06  | | | | | | | | | | | | |   (113)  all_58_21 = e1
% 170.91/26.06  | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | REF_CLOSE: (4), (20), (25), (40), (42), (43), (84), (107),
% 170.91/26.06  | | | | | | | | | | | | |            (113) are inconsistent by sub-proof #895.
% 170.91/26.06  | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | Case 2:
% 170.91/26.06  | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | |   (114)  all_56_7 = e1 | all_56_13 = e1
% 170.91/26.06  | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | BETA: splitting (114) gives:
% 170.91/26.06  | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | Case 1:
% 170.91/26.06  | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | |   (115)  all_56_7 = e1
% 170.91/26.06  | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | REF_CLOSE: (55), (84), (115) are inconsistent by sub-proof
% 170.91/26.06  | | | | | | | | | | | | | |            #662.
% 170.91/26.06  | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | Case 2:
% 170.91/26.06  | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | |   (116)  all_56_13 = e1
% 170.91/26.06  | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | COMBINE_EQS: (32), (116) imply:
% 170.91/26.06  | | | | | | | | | | | | | |   (117)  all_52_7 = e1
% 170.91/26.06  | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | SIMP: (117) implies:
% 170.91/26.06  | | | | | | | | | | | | | |   (118)  all_52_7 = e1
% 170.91/26.06  | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | COMBINE_EQS: (4), (118) imply:
% 170.91/26.06  | | | | | | | | | | | | | |   (119)  all_58_23 = e1
% 170.91/26.06  | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | BETA: splitting (40) gives:
% 170.91/26.06  | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | Case 1:
% 170.91/26.06  | | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | |   (120)  all_58_23 = e0
% 170.91/26.06  | | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | | COMBINE_EQS: (119), (120) imply:
% 170.91/26.06  | | | | | | | | | | | | | | |   (121)  e1 = e0
% 170.91/26.06  | | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | | SIMP: (121) implies:
% 170.91/26.06  | | | | | | | | | | | | | | |   (122)  e1 = e0
% 170.91/26.06  | | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | | COMBINE_EQS: (116), (122) imply:
% 170.91/26.06  | | | | | | | | | | | | | | |   (123)  all_56_13 = e0
% 170.91/26.06  | | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | | REF_CLOSE: (55), (84), (87), (114), (123) are inconsistent by
% 170.91/26.06  | | | | | | | | | | | | | | |            sub-proof #661.
% 170.91/26.06  | | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | Case 2:
% 170.91/26.06  | | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | |   (124)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 170.91/26.06  | | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | | BETA: splitting (124) gives:
% 170.91/26.06  | | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | | Case 1:
% 170.91/26.06  | | | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | | |   (125)  all_58_22 = e1
% 170.91/26.06  | | | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | | | REF_CLOSE: (43), (84), (125) are inconsistent by sub-proof
% 170.91/26.06  | | | | | | | | | | | | | | | |            #677.
% 170.91/26.06  | | | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | | Case 2:
% 170.91/26.06  | | | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | | |   (126)  all_58_20 = e3 | all_58_21 = e2
% 170.91/26.06  | | | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | | | BETA: splitting (126) gives:
% 170.91/26.06  | | | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | | | Case 1:
% 170.91/26.06  | | | | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | | | |   (127)  all_58_21 = e2
% 170.91/26.06  | | | | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | | | | COMBINE_EQS: (51), (127) imply:
% 170.91/26.06  | | | | | | | | | | | | | | | | |   (128)  all_4_2 = e2
% 170.91/26.06  | | | | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | | | | SIMP: (128) implies:
% 170.91/26.06  | | | | | | | | | | | | | | | | |   (129)  all_4_2 = e2
% 170.91/26.06  | | | | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | | | | REDUCE: (19), (129) imply:
% 170.91/26.06  | | | | | | | | | | | | | | | | |   (130)  op(e2, e2) = all_58_5
% 170.91/26.06  | | | | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | | | | REDUCE: (23), (129) imply:
% 170.91/26.06  | | | | | | | | | | | | | | | | |   (131)  op(e2, e2) = e2
% 170.91/26.06  | | | | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (49), (56), (99), (100), (108), (109), (130),
% 170.91/26.06  | | | | | | | | | | | | | | | | |            (131) are inconsistent by sub-proof #225.
% 170.91/26.06  | | | | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | | | Case 2:
% 170.91/26.06  | | | | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | | | |   (132)  all_58_20 = e3
% 170.91/26.06  | | | | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | | | | COMBINE_EQS: (20), (132) imply:
% 170.91/26.06  | | | | | | | | | | | | | | | | |   (133)  e3 = e0
% 170.91/26.06  | | | | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | | | | COMBINE_EQS: (59), (133) imply:
% 170.91/26.06  | | | | | | | | | | | | | | | | |   (134)  all_58_28 = e0
% 170.91/26.06  | | | | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (17), (25), (107), (134) are inconsistent by
% 170.91/26.06  | | | | | | | | | | | | | | | | |            sub-proof #509.
% 170.91/26.06  | | | | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | | | End of split
% 170.91/26.06  | | | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | | End of split
% 170.91/26.06  | | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | | End of split
% 170.91/26.06  | | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | | End of split
% 170.91/26.06  | | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | | End of split
% 170.91/26.06  | | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | | End of split
% 170.91/26.06  | | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | End of split
% 170.91/26.06  | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | Case 2:
% 170.91/26.06  | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | |   (135)   ~ (all_56_4 = e1)
% 170.91/26.06  | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | REDUCE: (35), (135) imply:
% 170.91/26.06  | | | | | | | | | |   (136)   ~ (all_52_8 = e1)
% 170.91/26.06  | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | | REF_CLOSE: (14), (61), (91), (93), (136) are inconsistent by
% 170.91/26.06  | | | | | | | | | |            sub-proof #690.
% 170.91/26.06  | | | | | | | | | | 
% 170.91/26.06  | | | | | | | | | End of split
% 170.91/26.06  | | | | | | | | | 
% 170.91/26.06  | | | | | | | | End of split
% 170.91/26.06  | | | | | | | | 
% 170.91/26.06  | | | | | | | End of split
% 170.91/26.06  | | | | | | | 
% 170.91/26.06  | | | | | | Case 2:
% 170.91/26.06  | | | | | | | 
% 170.91/26.06  | | | | | | |   (137)   ~ (all_56_0 = e2)
% 170.91/26.06  | | | | | | | 
% 170.91/26.06  | | | | | | | REDUCE: (16), (137) imply:
% 170.91/26.06  | | | | | | |   (138)   ~ (all_6_2 = e2)
% 170.91/26.06  | | | | | | | 
% 170.91/26.06  | | | | | | | REF_CLOSE: (2), (34), (45), (65), (86), (138) are inconsistent by
% 170.91/26.06  | | | | | | |            sub-proof #110.
% 170.91/26.06  | | | | | | | 
% 170.91/26.06  | | | | | | End of split
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | Case 2:
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | |   (139)  all_58_16 = e3 | all_58_17 = e2
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | | REF_CLOSE: (31), (39), (65), (73), (139) are inconsistent by
% 170.91/26.06  | | | | | |            sub-proof #814.
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | End of split
% 170.91/26.06  | | | | | 
% 170.91/26.06  | | | | End of split
% 170.91/26.06  | | | | 
% 170.91/26.06  | | | Case 2:
% 170.91/26.06  | | | | 
% 170.91/26.06  | | | |   (140)  all_54_15 = e3
% 170.91/26.06  | | | | 
% 170.91/26.06  | | | | COMBINE_EQS: (37), (140) imply:
% 170.91/26.06  | | | |   (141)  all_14_2 = e3
% 170.91/26.06  | | | | 
% 170.91/26.06  | | | | REDUCE: (63), (141) imply:
% 170.91/26.06  | | | |   (142)  $false
% 170.91/26.06  | | | | 
% 170.91/26.06  | | | | CLOSE: (142) is inconsistent.
% 170.91/26.06  | | | | 
% 170.91/26.06  | | | End of split
% 170.91/26.06  | | | 
% 170.91/26.06  | | End of split
% 170.91/26.06  | | 
% 170.91/26.06  | End of split
% 170.91/26.06  | 
% 170.91/26.06  End of proof
% 170.91/26.06  
% 170.91/26.06  Sub-proof #110 shows that the following formulas are inconsistent:
% 170.91/26.06  ----------------------------------------------------------------
% 170.91/26.06    (1)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 170.91/26.06    (2)   ~ (all_6_2 = e2)
% 170.91/26.06    (3)   ~ (all_6_2 = e3)
% 170.91/26.06    (4)   ~ (all_6_2 = e1)
% 170.91/26.06    (5)   ~ (all_6_2 = e0)
% 170.91/26.06    (6)  all_54_0 = all_6_2
% 170.91/26.06  
% 170.91/26.06  Begin of proof
% 170.91/26.06  | 
% 170.91/26.06  | BETA: splitting (1) gives:
% 170.91/26.06  | 
% 170.91/26.06  | Case 1:
% 170.91/26.06  | | 
% 170.91/26.06  | |   (7)  all_54_0 = e0
% 170.91/26.06  | | 
% 170.91/26.06  | | REF_CLOSE: (5), (6), (7) are inconsistent by sub-proof #984.
% 170.91/26.06  | | 
% 170.91/26.06  | Case 2:
% 170.91/26.06  | | 
% 170.91/26.06  | |   (8)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 170.91/26.06  | | 
% 170.91/26.06  | | REF_CLOSE: (2), (3), (4), (6), (8) are inconsistent by sub-proof #848.
% 170.91/26.06  | | 
% 170.91/26.06  | End of split
% 170.91/26.06  | 
% 170.91/26.06  End of proof
% 170.91/26.06  
% 170.91/26.06  Sub-proof #111 shows that the following formulas are inconsistent:
% 170.91/26.06  ----------------------------------------------------------------
% 170.91/26.06    (1)  all_56_12 = all_52_3
% 170.91/26.06    (2)  all_58_23 = all_52_7
% 170.91/26.06    (3)  all_58_20 = e0
% 170.91/26.06    (4)   ~ (all_52_2 = all_52_6)
% 170.91/26.06    (5)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.91/26.06    (6)  all_56_2 = e0
% 170.91/26.06    (7)   ~ (e2 = e1)
% 170.91/26.06    (8)   ~ (all_52_7 = e1)
% 170.91/26.06    (9)   ~ (all_52_2 = e0)
% 170.91/26.06    (10)  all_56_1 = e0
% 170.91/26.06    (11)   ~ (all_52_3 = e1)
% 170.91/26.06    (12)  all_56_13 = all_52_7
% 170.91/26.06    (13)   ~ (e3 = e0)
% 170.91/26.06    (14)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.91/26.06    (15)  all_56_6 = all_52_2
% 170.91/26.06    (16)   ~ (all_52_7 = e0)
% 170.91/26.06    (17)  all_58_22 = all_52_6
% 170.91/26.06    (18)  all_56_3 = all_4_2
% 170.91/26.06    (19)   ~ (all_52_2 = all_52_3)
% 170.91/26.06    (20)  all_58_21 = all_4_2
% 170.91/26.06    (21)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 170.91/26.06    (22)   ~ (e1 = e0)
% 170.91/26.06    (23)  all_56_7 = all_52_6
% 170.91/26.06  
% 170.91/26.06  Begin of proof
% 170.91/26.06  | 
% 170.91/26.06  | BETA: splitting (5) gives:
% 170.91/26.06  | 
% 170.91/26.06  | Case 1:
% 170.91/26.06  | | 
% 170.91/26.06  | |   (24)  all_56_2 = e1
% 170.91/26.06  | | 
% 170.91/26.06  | | REF_CLOSE: (6), (22), (24) are inconsistent by sub-proof #935.
% 170.91/26.06  | | 
% 170.91/26.06  | Case 2:
% 170.91/26.06  | | 
% 170.91/26.06  | |   (25)  all_56_6 = e1 | all_56_12 = e1
% 170.91/26.06  | | 
% 170.91/26.06  | | BETA: splitting (25) gives:
% 170.91/26.06  | | 
% 170.91/26.06  | | Case 1:
% 170.91/26.06  | | | 
% 170.91/26.06  | | |   (26)  all_56_6 = e1
% 170.91/26.06  | | | 
% 170.91/26.06  | | | COMBINE_EQS: (15), (26) imply:
% 170.91/26.06  | | |   (27)  all_52_2 = e1
% 170.91/26.06  | | | 
% 170.91/26.06  | | | SIMP: (27) implies:
% 170.91/26.06  | | |   (28)  all_52_2 = e1
% 170.91/26.06  | | | 
% 170.91/26.06  | | | REDUCE: (19), (28) imply:
% 170.91/26.06  | | |   (29)   ~ (all_52_3 = e1)
% 170.91/26.06  | | | 
% 170.91/26.06  | | | REDUCE: (4), (28) imply:
% 170.91/26.06  | | |   (30)   ~ (all_52_6 = e1)
% 170.91/26.06  | | | 
% 170.91/26.06  | | | SIMP: (30) implies:
% 170.91/26.06  | | |   (31)   ~ (all_52_6 = e1)
% 170.91/26.06  | | | 
% 170.91/26.06  | | | BETA: splitting (21) gives:
% 170.91/26.06  | | | 
% 170.91/26.06  | | | Case 1:
% 170.91/26.06  | | | | 
% 170.91/26.06  | | | |   (32)  all_56_1 = e1
% 170.91/26.06  | | | | 
% 170.91/26.06  | | | | COMBINE_EQS: (10), (32) imply:
% 170.91/26.06  | | | |   (33)  e1 = e0
% 170.91/26.06  | | | | 
% 170.91/26.06  | | | | REF_CLOSE: (1), (11), (22), (25), (26), (33) are inconsistent by
% 170.91/26.06  | | | |            sub-proof #932.
% 170.91/26.06  | | | | 
% 170.91/26.06  | | | Case 2:
% 170.91/26.06  | | | | 
% 170.91/26.06  | | | |   (34)  all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 170.91/26.06  | | | | 
% 170.91/26.06  | | | | BETA: splitting (34) gives:
% 170.91/26.06  | | | | 
% 170.91/26.06  | | | | Case 1:
% 170.91/26.06  | | | | | 
% 170.91/26.06  | | | | |   (35)  all_56_3 = e1
% 170.91/26.06  | | | | | 
% 170.91/26.06  | | | | | COMBINE_EQS: (18), (35) imply:
% 170.91/26.06  | | | | |   (36)  all_4_2 = e1
% 170.91/26.06  | | | | | 
% 170.91/26.06  | | | | | COMBINE_EQS: (20), (36) imply:
% 170.91/26.06  | | | | |   (37)  all_58_21 = e1
% 170.91/26.06  | | | | | 
% 170.91/26.06  | | | | | REF_CLOSE: (2), (3), (7), (13), (14), (16), (17), (31), (37) are
% 170.91/26.06  | | | | |            inconsistent by sub-proof #895.
% 170.91/26.06  | | | | | 
% 170.91/26.06  | | | | Case 2:
% 170.91/26.06  | | | | | 
% 170.91/26.06  | | | | |   (38)  all_56_7 = e1 | all_56_13 = e1
% 170.91/26.06  | | | | | 
% 170.91/26.06  | | | | | BETA: splitting (38) gives:
% 170.91/26.06  | | | | | 
% 170.91/26.06  | | | | | Case 1:
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | |   (39)  all_56_7 = e1
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | | REF_CLOSE: (23), (31), (39) are inconsistent by sub-proof #662.
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | Case 2:
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | |   (40)  all_56_13 = e1
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | | REF_CLOSE: (8), (12), (40) are inconsistent by sub-proof #748.
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | End of split
% 170.91/26.06  | | | | | 
% 170.91/26.06  | | | | End of split
% 170.91/26.06  | | | | 
% 170.91/26.06  | | | End of split
% 170.91/26.06  | | | 
% 170.91/26.06  | | Case 2:
% 170.91/26.06  | | | 
% 170.91/26.06  | | |   (41)  all_56_12 = e1
% 170.91/26.06  | | | 
% 170.91/26.06  | | | REF_CLOSE: (1), (11), (41) are inconsistent by sub-proof #934.
% 170.91/26.06  | | | 
% 170.91/26.06  | | End of split
% 170.91/26.06  | | 
% 170.91/26.06  | End of split
% 170.91/26.06  | 
% 170.91/26.06  End of proof
% 170.91/26.06  
% 170.91/26.06  Sub-proof #112 shows that the following formulas are inconsistent:
% 170.91/26.06  ----------------------------------------------------------------
% 170.91/26.06    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 170.91/26.06    (2)  op(all_4_2, e2) = e0
% 170.91/26.06    (3)  op(e2, all_4_2) = all_58_5
% 170.91/26.06    (4)  all_58_20 = e0
% 170.91/26.06    (5)   ~ (all_52_2 = all_52_6)
% 170.91/26.06    (6)  op(e2, e2) = all_4_2
% 170.91/26.06    (7)  all_52_2 = e1
% 170.91/26.06    (8)   ~ (e3 = e0)
% 170.91/26.06    (9)   ~ (all_4_2 = e0)
% 170.91/26.06    (10)  all_58_22 = all_52_6
% 170.91/26.06    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.91/26.06            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.91/26.06    (12)  all_58_21 = all_4_2
% 170.91/26.06  
% 170.91/26.06  Begin of proof
% 170.91/26.06  | 
% 170.91/26.06  | REDUCE: (5), (7) imply:
% 170.91/26.06  |   (13)   ~ (all_52_6 = e1)
% 170.91/26.06  | 
% 170.91/26.06  | SIMP: (13) implies:
% 170.91/26.06  |   (14)   ~ (all_52_6 = e1)
% 170.91/26.06  | 
% 170.91/26.06  | REF_CLOSE: (1), (2), (3), (4), (6), (8), (9), (10), (11), (12), (14) are
% 170.91/26.06  |            inconsistent by sub-proof #122.
% 170.91/26.06  | 
% 170.91/26.06  End of proof
% 170.91/26.06  
% 170.91/26.06  Sub-proof #113 shows that the following formulas are inconsistent:
% 170.91/26.06  ----------------------------------------------------------------
% 170.91/26.06    (1)   ~ (all_52_12 = all_14_2)
% 170.91/26.06    (2)   ~ (e3 = e1)
% 170.91/26.06    (3)   ~ (all_14_1 = e1)
% 170.91/26.06    (4)  op(e2, e0) = all_52_13
% 170.91/26.06    (5)   ~ (all_14_2 = e1)
% 170.91/26.06    (6)  all_56_15 = all_14_2
% 170.91/26.06    (7)   ~ (all_14_2 = e0)
% 170.91/26.06    (8)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.91/26.06    (9)  all_58_30 = e0
% 170.91/26.06    (10)  all_58_31 = all_14_2
% 170.91/26.06    (11)  all_56_9 = all_52_12
% 170.91/26.06    (12)   ~ (e3 = e2)
% 170.91/26.06    (13)   ~ (e2 = e1)
% 170.91/26.06    (14)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 170.91/26.06    (15)   ~ (all_52_13 = all_14_2)
% 170.91/26.06    (16)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.91/26.06    (17)   ~ (all_52_12 = e0)
% 170.91/26.06    (18)   ~ (e3 = e0)
% 170.91/26.06    (19)  op(e3, e0) = all_52_12
% 170.91/26.06    (20)  all_58_29 = all_52_13
% 170.91/26.06    (21)   ~ (all_52_13 = e0)
% 170.91/26.06    (22)  all_54_15 = all_14_2
% 170.91/26.06    (23)  all_56_11 = e0
% 170.91/26.06    (24)  op(all_14_2, e0) = all_14_1
% 170.91/26.06    (25)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 170.91/26.06    (26)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.91/26.06            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.91/26.06    (27)  all_56_10 = all_52_13
% 170.91/26.06    (28)  all_58_28 = all_52_12
% 170.91/26.06    (29)   ~ (e1 = e0)
% 170.91/26.06  
% 170.91/26.06  Begin of proof
% 170.91/26.06  | 
% 170.91/26.06  | BETA: splitting (16) gives:
% 170.91/26.06  | 
% 170.91/26.06  | Case 1:
% 170.91/26.06  | | 
% 170.91/26.06  | |   (30)  all_56_9 = e1
% 170.91/26.06  | | 
% 170.91/26.06  | | REF_CLOSE: (2), (3), (6), (7), (8), (9), (10), (11), (12), (14), (17), (18),
% 170.91/26.06  | |            (19), (20), (23), (24), (26), (27), (28), (30) are inconsistent
% 170.91/26.06  | |            by sub-proof #114.
% 170.91/26.06  | | 
% 170.91/26.06  | Case 2:
% 170.91/26.06  | | 
% 170.91/26.06  | |   (31)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.91/26.06  | | 
% 170.91/26.06  | | BETA: splitting (31) gives:
% 170.91/26.06  | | 
% 170.91/26.06  | | Case 1:
% 170.91/26.06  | | | 
% 170.91/26.06  | | |   (32)  all_56_10 = e1
% 170.91/26.06  | | | 
% 170.91/26.06  | | | COMBINE_EQS: (27), (32) imply:
% 170.91/26.06  | | |   (33)  all_52_13 = e1
% 170.91/26.06  | | | 
% 170.91/26.06  | | | SIMP: (33) implies:
% 170.91/26.06  | | |   (34)  all_52_13 = e1
% 170.91/26.06  | | | 
% 170.91/26.06  | | | COMBINE_EQS: (20), (34) imply:
% 170.91/26.06  | | |   (35)  all_58_29 = e1
% 170.91/26.06  | | | 
% 170.91/26.06  | | | REDUCE: (15), (34) imply:
% 170.91/26.06  | | |   (36)   ~ (all_14_2 = e1)
% 170.91/26.06  | | | 
% 170.91/26.06  | | | REDUCE: (4), (34) imply:
% 170.91/26.06  | | |   (37)  op(e2, e0) = e1
% 170.91/26.06  | | | 
% 170.91/26.06  | | | BETA: splitting (8) gives:
% 170.91/26.06  | | | 
% 170.91/26.06  | | | Case 1:
% 170.91/26.06  | | | | 
% 170.91/26.06  | | | |   (38)  all_58_31 = e0
% 170.91/26.06  | | | | 
% 170.91/26.06  | | | | COMBINE_EQS: (10), (38) imply:
% 170.91/26.06  | | | |   (39)  all_14_2 = e0
% 170.91/26.06  | | | | 
% 170.91/26.06  | | | | REDUCE: (7), (39) imply:
% 170.91/26.06  | | | |   (40)  $false
% 170.91/26.06  | | | | 
% 170.91/26.06  | | | | CLOSE: (40) is inconsistent.
% 170.91/26.06  | | | | 
% 170.91/26.06  | | | Case 2:
% 170.91/26.06  | | | | 
% 170.91/26.06  | | | |   (41)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 170.91/26.06  | | | | 
% 170.91/26.06  | | | | BETA: splitting (41) gives:
% 170.91/26.06  | | | | 
% 170.91/26.06  | | | | Case 1:
% 170.91/26.06  | | | | | 
% 170.91/26.06  | | | | |   (42)  all_58_30 = e1
% 170.91/26.06  | | | | | 
% 170.91/26.06  | | | | | REF_CLOSE: (9), (29), (42) are inconsistent by sub-proof #838.
% 170.91/26.06  | | | | | 
% 170.91/26.06  | | | | Case 2:
% 170.91/26.06  | | | | | 
% 170.91/26.06  | | | | |   (43)  all_58_28 = e3 | all_58_29 = e2
% 170.91/26.06  | | | | | 
% 170.91/26.06  | | | | | BETA: splitting (43) gives:
% 170.91/26.06  | | | | | 
% 170.91/26.06  | | | | | Case 1:
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | |   (44)  all_58_29 = e2
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | | REF_CLOSE: (13), (35), (44) are inconsistent by sub-proof #858.
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | Case 2:
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | |   (45)  all_58_28 = e3
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | | COMBINE_EQS: (28), (45) imply:
% 170.91/26.06  | | | | | |   (46)  all_52_12 = e3
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | | SIMP: (46) implies:
% 170.91/26.06  | | | | | |   (47)  all_52_12 = e3
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | | REDUCE: (1), (47) imply:
% 170.91/26.06  | | | | | |   (48)   ~ (all_14_2 = e3)
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | | SIMP: (48) implies:
% 170.91/26.06  | | | | | |   (49)   ~ (all_14_2 = e3)
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | | BETA: splitting (25) gives:
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | | Case 1:
% 170.91/26.06  | | | | | | | 
% 170.91/26.06  | | | | | | |   (50)  all_54_15 = e1
% 170.91/26.06  | | | | | | | 
% 170.91/26.06  | | | | | | | REF_CLOSE: (5), (22), (50) are inconsistent by sub-proof #752.
% 170.91/26.06  | | | | | | | 
% 170.91/26.06  | | | | | | Case 2:
% 170.91/26.06  | | | | | | | 
% 170.91/26.06  | | | | | | |   (51)  all_54_15 = e3 | all_54_15 = e2
% 170.91/26.06  | | | | | | | 
% 170.91/26.06  | | | | | | | BETA: splitting (51) gives:
% 170.91/26.06  | | | | | | | 
% 170.91/26.06  | | | | | | | Case 1:
% 170.91/26.06  | | | | | | | | 
% 170.91/26.06  | | | | | | | |   (52)  all_54_15 = e2
% 170.91/26.06  | | | | | | | | 
% 170.91/26.06  | | | | | | | | COMBINE_EQS: (22), (52) imply:
% 170.91/26.06  | | | | | | | |   (53)  all_14_2 = e2
% 170.91/26.06  | | | | | | | | 
% 170.91/26.06  | | | | | | | | SIMP: (53) implies:
% 170.91/26.06  | | | | | | | |   (54)  all_14_2 = e2
% 170.91/26.06  | | | | | | | | 
% 170.91/26.06  | | | | | | | | REDUCE: (24), (54) imply:
% 170.91/26.06  | | | | | | | |   (55)  op(e2, e0) = all_14_1
% 170.91/26.06  | | | | | | | | 
% 170.91/26.06  | | | | | | | | GROUND_INST: instantiating (26) with e1, all_14_1, e0, e2,
% 170.91/26.06  | | | | | | | |              simplifying with (37), (55) gives:
% 170.91/26.06  | | | | | | | |   (56)  all_14_1 = e1
% 170.91/26.06  | | | | | | | | 
% 170.91/26.06  | | | | | | | | REDUCE: (3), (56) imply:
% 170.91/26.06  | | | | | | | |   (57)  $false
% 170.91/26.06  | | | | | | | | 
% 170.91/26.06  | | | | | | | | CLOSE: (57) is inconsistent.
% 170.91/26.06  | | | | | | | | 
% 170.91/26.06  | | | | | | | Case 2:
% 170.91/26.06  | | | | | | | | 
% 170.91/26.06  | | | | | | | |   (58)  all_54_15 = e3
% 170.91/26.06  | | | | | | | | 
% 170.91/26.06  | | | | | | | | REF_CLOSE: (22), (49), (58) are inconsistent by sub-proof #614.
% 170.91/26.06  | | | | | | | | 
% 170.91/26.06  | | | | | | | End of split
% 170.91/26.06  | | | | | | | 
% 170.91/26.06  | | | | | | End of split
% 170.91/26.06  | | | | | | 
% 170.91/26.06  | | | | | End of split
% 170.91/26.06  | | | | | 
% 170.91/26.06  | | | | End of split
% 170.91/26.06  | | | | 
% 170.91/26.06  | | | End of split
% 170.91/26.06  | | | 
% 170.91/26.06  | | Case 2:
% 170.91/26.06  | | | 
% 170.91/26.06  | | |   (59)  all_56_11 = e1 | all_56_15 = e1
% 170.91/26.06  | | | 
% 170.91/26.06  | | | REF_CLOSE: (5), (6), (23), (29), (59) are inconsistent by sub-proof #804.
% 170.91/26.06  | | | 
% 170.91/26.06  | | End of split
% 170.91/26.06  | | 
% 170.91/26.06  | End of split
% 170.91/26.06  | 
% 170.91/26.06  End of proof
% 170.91/26.06  
% 170.91/26.06  Sub-proof #114 shows that the following formulas are inconsistent:
% 170.91/26.06  ----------------------------------------------------------------
% 170.91/26.06    (1)   ~ (e3 = e1)
% 170.91/26.06    (2)   ~ (all_14_1 = e1)
% 170.91/26.06    (3)  all_56_15 = all_14_2
% 170.91/26.06    (4)   ~ (all_14_2 = e0)
% 170.91/26.06    (5)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.91/26.06    (6)  all_58_30 = e0
% 170.91/26.06    (7)  all_58_31 = all_14_2
% 170.91/26.06    (8)  all_56_9 = all_52_12
% 170.91/26.06    (9)   ~ (e3 = e2)
% 170.91/26.06    (10)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 170.91/26.07    (11)   ~ (all_52_12 = e0)
% 170.91/26.07    (12)   ~ (e3 = e0)
% 170.91/26.07    (13)  op(e3, e0) = all_52_12
% 170.91/26.07    (14)  all_58_29 = all_52_13
% 170.91/26.07    (15)  all_56_11 = e0
% 170.91/26.07    (16)  op(all_14_2, e0) = all_14_1
% 170.91/26.07    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.91/26.07            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.91/26.07    (18)  all_56_10 = all_52_13
% 170.91/26.07    (19)  all_58_28 = all_52_12
% 170.91/26.07    (20)  all_56_9 = e1
% 170.91/26.07  
% 170.91/26.07  Begin of proof
% 170.91/26.07  | 
% 170.91/26.07  | COMBINE_EQS: (8), (20) imply:
% 170.91/26.07  |   (21)  all_52_12 = e1
% 170.91/26.07  | 
% 170.91/26.07  | SIMP: (21) implies:
% 170.91/26.07  |   (22)  all_52_12 = e1
% 170.91/26.07  | 
% 170.91/26.07  | COMBINE_EQS: (19), (22) imply:
% 170.91/26.07  |   (23)  all_58_28 = e1
% 170.91/26.07  | 
% 170.91/26.07  | REDUCE: (11), (22) imply:
% 170.91/26.07  |   (24)   ~ (e1 = e0)
% 170.91/26.07  | 
% 170.91/26.07  | REDUCE: (13), (22) imply:
% 170.91/26.07  |   (25)  op(e3, e0) = e1
% 170.91/26.07  | 
% 170.91/26.07  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (12), (14), (15),
% 170.91/26.07  |            (16), (17), (18), (20), (23), (24), (25) are inconsistent by
% 170.91/26.07  |            sub-proof #836.
% 170.91/26.07  | 
% 170.91/26.07  End of proof
% 170.91/26.07  
% 170.91/26.07  Sub-proof #115 shows that the following formulas are inconsistent:
% 170.91/26.07  ----------------------------------------------------------------
% 170.91/26.07    (1)  all_54_8 = all_52_2
% 170.91/26.07    (2)  all_56_1 = all_52_4
% 170.91/26.07    (3)  op(all_4_2, e2) = e0
% 170.91/26.07    (4)   ~ (all_6_0 = e0)
% 170.91/26.07    (5)  all_56_12 = all_52_3
% 170.91/26.07    (6)  op(e1, e3) = all_52_2
% 170.91/26.07    (7)   ~ (e3 = e1)
% 170.91/26.07    (8)  all_58_23 = all_52_7
% 170.91/26.07    (9)   ~ (all_52_2 = all_6_2)
% 170.91/26.07    (10)   ~ (all_52_4 = all_4_2)
% 170.91/26.07    (11)  all_56_5 = all_52_9
% 170.91/26.07    (12)  op(all_6_2, e3) = all_6_1
% 170.91/26.07    (13)   ~ (all_52_12 = all_6_2)
% 170.91/26.07    (14)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 170.91/26.07    (15)   ~ (all_52_6 = all_4_2)
% 170.91/26.07    (16)  op(e0, e2) = all_52_7
% 170.91/26.07    (17)  all_54_1 = all_52_4
% 170.91/26.07    (18)   ~ (all_52_9 = all_4_2)
% 170.91/26.07    (19)   ~ (all_52_3 = all_52_7)
% 170.91/26.07    (20)  all_56_14 = all_52_11
% 170.91/26.07    (21)   ~ (all_52_13 = all_4_2)
% 170.91/26.07    (22)  all_56_12 = e0
% 170.91/26.07    (23)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.91/26.07    (24)  all_56_8 = all_10_2
% 170.91/26.07    (25)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.91/26.07    (26)  all_58_26 = all_10_2
% 170.91/26.07    (27)   ~ (all_52_4 = all_52_6)
% 170.91/26.07    (28)  all_58_31 = all_14_2
% 170.91/26.07    (29)   ~ (all_52_11 = all_10_2)
% 170.91/26.07    (30)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 170.91/26.07    (31)   ~ (all_52_4 = e0)
% 170.91/26.07    (32)  op(all_6_1, all_6_2) = all_6_0
% 170.91/26.07    (33)   ~ (all_52_1 = all_6_2)
% 170.91/26.07    (34)  all_56_11 = all_52_14
% 170.91/26.07    (35)  op(e2, e1) = all_52_9
% 170.91/26.07    (36)   ~ (all_52_6 = all_52_7)
% 170.91/26.07    (37)  all_56_0 = all_6_2
% 170.91/26.07    (38)   ~ (all_52_9 = all_10_2)
% 170.91/26.07    (39)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 170.91/26.07    (40)  all_58_30 = all_52_14
% 170.91/26.07    (41)  all_58_27 = all_52_11
% 170.91/26.07    (42)  all_54_14 = all_52_11
% 170.91/26.07    (43)  all_56_9 = all_52_12
% 170.91/26.07    (44)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 170.91/26.07    (45)  all_56_4 = e0
% 170.91/26.07    (46)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.91/26.07    (47)   ~ (e3 = e2)
% 170.91/26.07    (48)   ~ (all_52_4 = all_52_7)
% 170.91/26.07    (49)   ~ (e2 = e1)
% 170.91/26.07    (50)   ~ (all_52_6 = all_10_2)
% 170.91/26.07    (51)   ~ (all_52_2 = e0)
% 170.91/26.07    (52)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 170.91/26.07    (53)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 170.91/26.07    (54)   ~ (all_52_13 = all_14_2)
% 170.91/26.07    (55)   ~ (all_52_1 = all_4_2)
% 170.91/26.07    (56)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.91/26.07    (57)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 170.91/26.07    (58)  all_54_9 = all_52_6
% 170.91/26.07    (59)   ~ (all_52_13 = all_52_14)
% 170.91/26.07    (60)  op(e2, e3) = all_52_1
% 170.91/26.07    (61)  all_58_19 = e0
% 170.91/26.07    (62)  all_58_18 = all_52_2
% 170.91/26.07    (63)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.91/26.07    (64)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 170.91/26.07    (65)  all_58_16 = all_6_2
% 170.91/26.07    (66)  all_56_13 = all_52_7
% 170.91/26.07    (67)   ~ (all_52_12 = e0)
% 170.91/26.07    (68)   ~ (all_52_4 = all_6_2)
% 170.91/26.07    (69)  all_56_2 = all_52_1
% 170.91/26.07    (70)   ~ (e3 = e0)
% 170.91/26.07    (71)  all_58_29 = all_52_13
% 170.91/26.07    (72)   ~ (all_52_1 = all_52_2)
% 170.91/26.07    (73)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 170.91/26.07    (74)   ~ (all_6_2 = e0)
% 170.91/26.07    (75)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 170.91/26.07    (76)   ~ (all_52_6 = all_52_14)
% 170.91/26.07    (77)   ~ (all_52_7 = all_4_2)
% 170.91/26.07    (78)  all_56_4 = all_52_8
% 170.91/26.07    (79)   ~ (all_52_1 = all_52_13)
% 170.91/26.07    (80)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 170.91/26.07    (81)  all_58_20 = all_52_4
% 170.91/26.07    (82)  all_54_13 = all_52_7
% 170.91/26.07    (83)   ~ (all_52_7 = all_52_11)
% 170.91/26.07    (84)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 170.91/26.07    (85)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.91/26.07    (86)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 170.91/26.07    (87)  all_56_6 = all_52_2
% 170.91/26.07    (88)   ~ (all_52_1 = all_52_9)
% 170.91/26.07    (89)  all_58_24 = all_52_8
% 170.91/26.07    (90)  all_58_22 = all_52_6
% 170.91/26.07    (91)   ~ (all_52_4 = all_52_12)
% 170.91/26.07    (92)  all_56_3 = all_4_2
% 170.91/26.07    (93)  all_54_0 = all_6_2
% 170.91/26.07    (94)   ~ (all_52_14 = all_10_2)
% 170.91/26.07    (95)  all_58_24 = e0
% 170.91/26.07    (96)   ~ (all_52_11 = e0)
% 170.91/26.07    (97)   ~ (all_52_1 = e0)
% 170.91/26.07    (98)  all_58_25 = all_52_9
% 170.91/26.07    (99)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 170.91/26.07    (100)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.91/26.07             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.91/26.07    (101)   ~ (all_6_1 = e0)
% 170.91/26.07    (102)   ~ (all_52_2 = all_52_14)
% 170.91/26.07    (103)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 170.91/26.07    (104)  all_58_21 = all_4_2
% 170.91/26.07    (105)  all_56_10 = all_52_13
% 170.91/26.07    (106)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 170.91/26.07    (107)   ~ (e2 = e0)
% 170.91/26.07    (108)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 170.91/26.07    (109)  all_58_28 = all_52_12
% 170.91/26.07    (110)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 170.91/26.07    (111)   ~ (e1 = e0)
% 170.91/26.07    (112)  all_54_4 = all_52_1
% 170.91/26.07    (113)  all_56_7 = all_52_6
% 170.91/26.07    (114)  all_54_5 = all_4_2
% 170.91/26.07    (115)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 170.91/26.07    (116)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 170.91/26.07           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 170.91/26.07           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 170.91/26.07           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 170.91/26.07           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 170.91/26.07           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 170.91/26.07           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 170.91/26.07           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 170.91/26.07           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 170.91/26.07           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 170.91/26.07             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 170.91/26.07             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 170.91/26.07             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 170.91/26.07             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 170.91/26.07             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 170.91/26.07             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 170.91/26.07             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 170.91/26.07             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 170.91/26.07             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 170.91/26.07             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 170.91/26.07             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 170.91/26.07             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 170.91/26.07             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 170.91/26.07             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 170.91/26.07             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 170.91/26.07             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 170.91/26.07           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 170.91/26.07           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 170.91/26.07           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 170.91/26.07             all_58_30 = e0 & e1 = e0)
% 170.91/26.07    (117)   ~ (all_52_2 = all_10_2)
% 170.91/26.07    (118)  op(e1, e2) = all_52_6
% 170.91/26.07    (119)   ~ (all_52_12 = all_52_13)
% 170.91/26.07  
% 170.91/26.07  Begin of proof
% 170.91/26.07  | 
% 170.91/26.07  | BETA: splitting (64) gives:
% 170.91/26.07  | 
% 170.91/26.07  | Case 1:
% 170.91/26.07  | | 
% 170.91/26.07  | |   (120)  all_56_1 = e0
% 170.91/26.07  | | 
% 170.91/26.07  | | COMBINE_EQS: (2), (120) imply:
% 170.91/26.07  | |   (121)  all_52_4 = e0
% 170.91/26.07  | | 
% 170.91/26.07  | | REDUCE: (31), (121) imply:
% 170.91/26.07  | |   (122)  $false
% 170.91/26.07  | | 
% 170.91/26.07  | | CLOSE: (122) is inconsistent.
% 170.91/26.07  | | 
% 170.91/26.07  | Case 2:
% 170.91/26.07  | | 
% 170.91/26.07  | |   (123)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 170.91/26.07  | | 
% 170.91/26.07  | | BETA: splitting (75) gives:
% 170.91/26.07  | | 
% 170.91/26.07  | | Case 1:
% 170.91/26.07  | | | 
% 170.91/26.07  | | |   (124)  all_54_8 = e0
% 170.91/26.07  | | | 
% 170.91/26.07  | | | REF_CLOSE: (1), (51), (124) are inconsistent by sub-proof #839.
% 170.91/26.07  | | | 
% 170.91/26.07  | | Case 2:
% 170.91/26.07  | | | 
% 170.91/26.07  | | |   (125)   ~ (all_54_8 = e0)
% 170.91/26.07  | | |   (126)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 170.91/26.07  | | | 
% 170.91/26.07  | | | BETA: splitting (99) gives:
% 170.91/26.07  | | | 
% 170.91/26.07  | | | Case 1:
% 170.91/26.07  | | | | 
% 170.91/26.07  | | | |   (127)  all_54_9 = e0
% 170.91/26.07  | | | | 
% 170.91/26.07  | | | | COMBINE_EQS: (58), (127) imply:
% 170.91/26.07  | | | |   (128)  all_52_6 = e0
% 170.91/26.07  | | | | 
% 170.91/26.07  | | | | SIMP: (128) implies:
% 170.91/26.07  | | | |   (129)  all_52_6 = e0
% 170.91/26.07  | | | | 
% 170.91/26.07  | | | | REDUCE: (76), (129) imply:
% 170.91/26.07  | | | |   (130)   ~ (all_52_14 = e0)
% 170.91/26.07  | | | | 
% 170.91/26.07  | | | | SIMP: (130) implies:
% 170.91/26.07  | | | |   (131)   ~ (all_52_14 = e0)
% 170.91/26.07  | | | | 
% 170.91/26.07  | | | | REDUCE: (50), (129) imply:
% 170.91/26.07  | | | |   (132)   ~ (all_10_2 = e0)
% 170.91/26.07  | | | | 
% 170.91/26.07  | | | | SIMP: (132) implies:
% 170.91/26.07  | | | |   (133)   ~ (all_10_2 = e0)
% 170.91/26.07  | | | | 
% 170.91/26.07  | | | | BETA: splitting (103) gives:
% 170.91/26.07  | | | | 
% 170.91/26.07  | | | | Case 1:
% 170.91/26.07  | | | | | 
% 170.91/26.07  | | | | |   (134)  all_56_9 = e0
% 170.91/26.07  | | | | | 
% 170.91/26.07  | | | | | REF_CLOSE: (43), (67), (134) are inconsistent by sub-proof #908.
% 170.91/26.07  | | | | | 
% 170.91/26.07  | | | | Case 2:
% 170.91/26.07  | | | | | 
% 170.91/26.07  | | | | |   (135)  all_56_10 = e0 | all_56_11 = e0
% 170.91/26.07  | | | | | 
% 170.91/26.07  | | | | | BETA: splitting (135) gives:
% 170.91/26.07  | | | | | 
% 170.91/26.07  | | | | | Case 1:
% 170.91/26.07  | | | | | | 
% 170.91/26.07  | | | | | |   (136)  all_56_10 = e0
% 170.91/26.07  | | | | | | 
% 170.91/26.07  | | | | | | COMBINE_EQS: (105), (136) imply:
% 170.91/26.07  | | | | | |   (137)  all_52_13 = e0
% 170.91/26.07  | | | | | | 
% 170.91/26.07  | | | | | | SIMP: (137) implies:
% 170.91/26.07  | | | | | |   (138)  all_52_13 = e0
% 170.91/26.07  | | | | | | 
% 170.91/26.07  | | | | | | COMBINE_EQS: (71), (138) imply:
% 170.91/26.07  | | | | | |   (139)  all_58_29 = e0
% 170.91/26.07  | | | | | | 
% 170.91/26.07  | | | | | | REDUCE: (54), (138) imply:
% 170.91/26.07  | | | | | |   (140)   ~ (all_14_2 = e0)
% 170.91/26.07  | | | | | | 
% 170.91/26.07  | | | | | | SIMP: (140) implies:
% 170.91/26.07  | | | | | |   (141)   ~ (all_14_2 = e0)
% 170.91/26.07  | | | | | | 
% 170.91/26.07  | | | | | | REDUCE: (21), (138) imply:
% 170.91/26.07  | | | | | |   (142)   ~ (all_4_2 = e0)
% 170.91/26.07  | | | | | | 
% 170.91/26.07  | | | | | | SIMP: (142) implies:
% 170.91/26.07  | | | | | |   (143)   ~ (all_4_2 = e0)
% 170.91/26.07  | | | | | | 
% 170.91/26.07  | | | | | | BETA: splitting (14) gives:
% 170.91/26.07  | | | | | | 
% 170.91/26.07  | | | | | | Case 1:
% 170.91/26.07  | | | | | | | 
% 170.91/26.07  | | | | | | |   (144)  all_54_5 = e0
% 170.91/26.07  | | | | | | | 
% 170.91/26.07  | | | | | | | REF_CLOSE: (114), (143), (144) are inconsistent by sub-proof #983.
% 170.91/26.07  | | | | | | | 
% 170.91/26.07  | | | | | | Case 2:
% 170.91/26.07  | | | | | | | 
% 170.91/26.07  | | | | | | |   (145)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 170.91/26.07  | | | | | | | 
% 170.91/26.07  | | | | | | | REF_CLOSE: (1), (2), (4), (6), (7), (8), (9), (10), (11), (12),
% 170.91/26.07  | | | | | | |            (13), (15), (17), (18), (20), (22), (23), (24), (25),
% 170.91/26.07  | | | | | | |            (26), (27), (28), (29), (30), (32), (33), (34), (35),
% 170.91/26.07  | | | | | | |            (36), (37), (38), (39), (40), (41), (42), (43), (44),
% 170.91/26.07  | | | | | | |            (45), (46), (47), (48), (49), (50), (52), (53), (55),
% 170.91/26.07  | | | | | | |            (56), (57), (60), (61), (62), (63), (65), (66), (67),
% 170.91/26.07  | | | | | | |            (68), (69), (70), (72), (73), (74), (76), (77), (78),
% 170.91/26.07  | | | | | | |            (80), (81), (82), (83), (85), (86), (87), (88), (89),
% 170.91/26.07  | | | | | | |            (90), (91), (92), (93), (94), (95), (96), (97), (98),
% 170.91/26.07  | | | | | | |            (100), (101), (102), (104), (106), (107), (108), (109),
% 170.91/26.07  | | | | | | |            (110), (111), (112), (113), (114), (115), (116), (117),
% 170.91/26.07  | | | | | | |            (118), (126), (131), (133), (136), (139), (141), (145)
% 170.91/26.07  | | | | | | |            are inconsistent by sub-proof #764.
% 170.91/26.07  | | | | | | | 
% 170.91/26.07  | | | | | | End of split
% 170.91/26.07  | | | | | | 
% 170.91/26.07  | | | | | Case 2:
% 170.91/26.07  | | | | | | 
% 170.91/26.07  | | | | | |   (146)  all_56_11 = e0
% 170.91/26.07  | | | | | | 
% 170.91/26.07  | | | | | | REF_CLOSE: (34), (131), (146) are inconsistent by sub-proof #873.
% 170.91/26.07  | | | | | | 
% 170.91/26.07  | | | | | End of split
% 170.91/26.07  | | | | | 
% 170.91/26.07  | | | | End of split
% 170.91/26.07  | | | | 
% 170.91/26.07  | | | Case 2:
% 170.91/26.07  | | | | 
% 170.91/26.07  | | | |   (147)   ~ (all_54_9 = e0)
% 170.91/26.07  | | | | 
% 170.91/26.07  | | | | REDUCE: (58), (147) imply:
% 170.91/26.07  | | | |   (148)   ~ (all_52_6 = e0)
% 170.91/26.07  | | | | 
% 170.91/26.07  | | | | REF_CLOSE: (3), (5), (16), (19), (37), (51), (66), (69), (74), (77),
% 170.91/26.07  | | | |            (84), (87), (92), (97), (100), (113), (123), (148) are
% 170.91/26.07  | | | |            inconsistent by sub-proof #116.
% 170.91/26.07  | | | | 
% 170.91/26.07  | | | End of split
% 170.91/26.07  | | | 
% 170.91/26.07  | | End of split
% 170.91/26.07  | | 
% 170.91/26.07  | End of split
% 170.91/26.07  | 
% 170.91/26.07  End of proof
% 170.91/26.07  
% 170.91/26.07  Sub-proof #116 shows that the following formulas are inconsistent:
% 170.91/26.07  ----------------------------------------------------------------
% 170.91/26.07    (1)  op(all_4_2, e2) = e0
% 170.91/26.07    (2)  all_56_12 = all_52_3
% 170.91/26.07    (3)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 170.91/26.07    (4)  op(e0, e2) = all_52_7
% 170.91/26.07    (5)   ~ (all_52_3 = all_52_7)
% 170.91/26.07    (6)  all_56_0 = all_6_2
% 170.91/26.07    (7)   ~ (all_52_2 = e0)
% 170.91/26.07    (8)  all_56_13 = all_52_7
% 170.91/26.07    (9)  all_56_2 = all_52_1
% 170.91/26.07    (10)   ~ (all_6_2 = e0)
% 170.91/26.07    (11)   ~ (all_52_7 = all_4_2)
% 170.91/26.07    (12)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 170.91/26.07    (13)  all_56_6 = all_52_2
% 170.91/26.07    (14)  all_56_3 = all_4_2
% 170.91/26.07    (15)   ~ (all_52_1 = e0)
% 170.91/26.07    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.91/26.07            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.91/26.07    (17)   ~ (all_52_6 = e0)
% 170.91/26.07    (18)  all_56_7 = all_52_6
% 170.91/26.07  
% 170.91/26.07  Begin of proof
% 170.91/26.07  | 
% 170.91/26.07  | BETA: splitting (3) gives:
% 170.91/26.07  | 
% 170.91/26.07  | Case 1:
% 170.91/26.07  | | 
% 170.91/26.07  | |   (19)  all_56_3 = e0
% 170.91/26.07  | | 
% 170.91/26.07  | | COMBINE_EQS: (14), (19) imply:
% 170.91/26.07  | |   (20)  all_4_2 = e0
% 170.91/26.07  | | 
% 170.91/26.07  | | REF_CLOSE: (1), (4), (11), (16), (20) are inconsistent by sub-proof #117.
% 170.91/26.07  | | 
% 170.91/26.07  | Case 2:
% 170.91/26.07  | | 
% 170.91/26.07  | |   (21)  all_56_7 = e0 | all_56_13 = e0
% 170.91/26.07  | | 
% 170.91/26.07  | | REF_CLOSE: (2), (5), (6), (7), (8), (9), (10), (12), (13), (15), (17), (18),
% 170.91/26.07  | |            (21) are inconsistent by sub-proof #314.
% 170.91/26.07  | | 
% 170.91/26.07  | End of split
% 170.91/26.07  | 
% 170.91/26.07  End of proof
% 170.91/26.07  
% 170.91/26.07  Sub-proof #117 shows that the following formulas are inconsistent:
% 170.91/26.07  ----------------------------------------------------------------
% 170.91/26.07    (1)  op(all_4_2, e2) = e0
% 170.91/26.07    (2)  op(e0, e2) = all_52_7
% 170.91/26.07    (3)  all_4_2 = e0
% 170.91/26.07    (4)   ~ (all_52_7 = all_4_2)
% 170.91/26.07    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.91/26.07           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.91/26.07  
% 170.91/26.07  Begin of proof
% 170.91/26.07  | 
% 170.91/26.07  | REDUCE: (3), (4) imply:
% 170.91/26.07  |   (6)   ~ (all_52_7 = e0)
% 170.91/26.07  | 
% 170.91/26.07  | REDUCE: (1), (3) imply:
% 170.91/26.07  |   (7)  op(e0, e2) = e0
% 170.91/26.07  | 
% 170.91/26.07  | GROUND_INST: instantiating (5) with all_52_7, e0, e2, e0, simplifying with
% 170.91/26.07  |              (2), (7) gives:
% 170.91/26.07  |   (8)  all_52_7 = e0
% 170.91/26.07  | 
% 170.91/26.07  | REDUCE: (6), (8) imply:
% 170.91/26.07  |   (9)  $false
% 170.91/26.07  | 
% 170.91/26.07  | CLOSE: (9) is inconsistent.
% 170.91/26.07  | 
% 170.91/26.07  End of proof
% 170.91/26.07  
% 170.91/26.07  Sub-proof #118 shows that the following formulas are inconsistent:
% 170.91/26.07  ----------------------------------------------------------------
% 170.91/26.07    (1)  all_56_1 = all_52_4
% 170.91/26.07    (2)  op(all_4_2, e2) = e0
% 170.91/26.07    (3)  all_56_12 = all_52_3
% 170.91/26.07    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 170.91/26.07    (5)   ~ (all_10_2 = e0)
% 170.91/26.07    (6)   ~ (all_52_8 = all_52_12)
% 170.91/26.07    (7)  all_58_23 = all_52_7
% 170.91/26.07    (8)   ~ (all_52_2 = all_6_2)
% 170.91/26.07    (9)   ~ (all_52_4 = all_4_2)
% 170.91/26.07    (10)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.91/26.07    (11)  all_54_3 = all_52_12
% 170.91/26.07    (12)  all_56_5 = all_52_9
% 170.91/26.07    (13)   ~ (all_52_3 = all_52_11)
% 170.91/26.07    (14)   ~ (all_52_12 = all_6_2)
% 170.91/26.07    (15)  op(e2, e0) = all_52_13
% 170.91/26.07    (16)   ~ (all_52_6 = all_4_2)
% 170.91/26.07    (17)   ~ (all_14_2 = e1)
% 170.91/26.07    (18)  op(e3, all_6_2) = all_58_0
% 170.91/26.07    (19)  op(e1, e0) = all_52_14
% 170.91/26.07    (20)  all_56_15 = all_14_2
% 170.91/26.07    (21)  op(e0, e2) = all_52_7
% 170.91/26.07    (22)  op(e3, all_52_4) = all_58_1
% 170.91/26.07    (23)  op(all_10_2, e1) = all_10_1
% 170.91/26.07    (24)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 170.91/26.07    (25)  op(e1, all_10_2) = all_58_10
% 170.91/26.07    (26)   ~ (all_52_9 = all_4_2)
% 170.91/26.07    (27)  op(e1, e1) = all_10_2
% 170.91/26.07    (28)  all_56_14 = all_52_11
% 170.91/26.07    (29)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 170.91/26.07    (30)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.91/26.07    (31)  all_56_8 = all_10_2
% 170.91/26.07    (32)  op(e2, all_52_1) = all_58_4
% 170.91/26.07    (33)  all_58_26 = all_10_2
% 170.91/26.07    (34)   ~ (all_52_3 = all_6_2)
% 170.91/26.07    (35)   ~ (all_52_1 = all_6_2)
% 170.91/26.07    (36)  all_54_2 = all_52_8
% 170.91/26.07    (37)  all_56_11 = all_52_14
% 170.91/26.07    (38)   ~ (all_52_6 = all_52_7)
% 170.91/26.07    (39)  all_56_0 = all_6_2
% 170.91/26.07    (40)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 170.91/26.07    (41)  all_58_27 = all_52_11
% 170.91/26.07    (42)  all_54_14 = all_52_11
% 170.91/26.07    (43)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 170.91/26.07    (44)  all_58_17 = all_52_1
% 170.91/26.07    (45)  op(e2, all_4_2) = all_58_5
% 170.91/26.07    (46)  all_58_19 = all_52_3
% 170.91/26.07    (47)  all_56_9 = all_52_12
% 170.91/26.07    (48)   ~ (all_52_2 = all_52_6)
% 170.91/26.07    (49)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 170.91/26.07    (50)  op(e2, e2) = all_4_2
% 170.91/26.07    (51)   ~ (e3 = e2)
% 170.91/26.07    (52)  op(e3, all_52_8) = all_58_2
% 170.91/26.07    (53)   ~ (all_52_4 = all_52_7)
% 170.91/26.07    (54)   ~ (e2 = e1)
% 170.91/26.07    (55)   ~ (all_52_6 = all_10_2)
% 170.91/26.07    (56)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 170.91/26.07    (57)   ~ (all_52_1 = all_4_2)
% 170.91/26.07    (58)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.91/26.07    (59)   ~ (all_52_13 = all_52_14)
% 170.91/26.07    (60)  all_58_18 = all_52_2
% 170.91/26.07    (61)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.91/26.07    (62)  all_58_16 = all_6_2
% 170.91/26.07    (63)   ~ (all_52_12 = e0)
% 170.91/26.07    (64)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 170.91/26.07    (65)   ~ (all_52_8 = all_52_9)
% 170.91/26.07    (66)   ~ (all_52_4 = all_6_2)
% 170.91/26.07    (67)  all_56_2 = all_52_1
% 170.91/26.07    (68)   ~ (e3 = e0)
% 170.91/26.07    (69)  op(e3, e0) = all_52_12
% 170.91/26.07    (70)   ~ (all_52_1 = all_52_2)
% 170.91/26.07    (71)   ~ (all_52_13 = e0)
% 170.91/26.07    (72)   ~ (all_6_2 = e0)
% 170.91/26.07    (73)   ~ (all_52_6 = all_52_14)
% 170.91/26.07    (74)   ~ (all_52_7 = all_4_2)
% 170.91/26.07    (75)   ~ (all_52_8 = all_10_2)
% 170.91/26.07    (76)  all_56_4 = all_52_8
% 170.91/26.07    (77)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.91/26.07    (78)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 170.91/26.07    (79)  op(e1, all_52_2) = all_58_8
% 170.91/26.07    (80)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 170.91/26.07    (81)  all_58_20 = all_52_4
% 170.91/26.07    (82)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 170.91/26.07    (83)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 170.91/26.07    (84)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.91/26.07    (85)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.91/26.07    (86)   ~ (all_52_8 = all_52_11)
% 170.91/26.07    (87)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 170.91/26.07    (88)   ~ (all_52_8 = all_6_2)
% 170.91/26.07    (89)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 170.91/26.07    (90)  all_56_6 = all_52_2
% 170.91/26.07    (91)   ~ (all_52_1 = all_52_9)
% 170.91/26.07    (92)  op(e3, e3) = all_6_2
% 170.91/26.07    (93)  all_58_24 = all_52_8
% 170.91/26.07    (94)   ~ (all_52_12 = all_52_14)
% 170.91/26.07    (95)   ~ (all_52_9 = all_52_11)
% 170.91/26.07    (96)  all_58_22 = all_52_6
% 170.91/26.07    (97)   ~ (all_52_4 = all_52_12)
% 170.91/26.07    (98)  all_56_3 = all_4_2
% 170.91/26.07    (99)  all_54_0 = all_6_2
% 170.91/26.07    (100)   ~ (all_52_14 = all_10_2)
% 170.91/26.07    (101)   ~ (all_52_11 = e0)
% 170.91/26.07    (102)   ~ (all_52_2 = all_52_3)
% 170.91/26.07    (103)   ~ (all_52_4 = all_52_8)
% 170.91/26.07    (104)  all_58_25 = all_52_9
% 170.91/26.07    (105)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.91/26.07             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.91/26.07    (106)  all_58_15 = e0
% 170.91/26.07    (107)  all_54_12 = all_52_3
% 170.91/26.07    (108)   ~ (all_52_2 = all_52_14)
% 170.91/26.07    (109)  all_58_21 = all_4_2
% 170.91/26.07    (110)  all_56_10 = all_52_13
% 170.91/26.07    (111)   ~ (all_52_3 = e0)
% 170.91/26.07    (112)  op(e2, all_52_9) = all_58_6
% 170.91/26.07    (113)   ~ (e2 = e0)
% 170.91/26.07    (114)   ~ (all_52_1 = all_52_3)
% 170.91/26.07    (115)   ~ (all_52_14 = e0)
% 170.91/26.07    (116)  op(e1, all_52_6) = all_58_9
% 170.91/26.07    (117)   ~ (e1 = e0)
% 170.91/26.07    (118)  all_56_7 = all_52_6
% 170.91/26.07    (119)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 170.91/26.07             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 170.91/26.07             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 170.91/26.07             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 170.91/26.07             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 170.91/26.07             (all_58_15 = e0))
% 170.91/26.07    (120)   ~ (all_52_2 = all_10_2)
% 170.91/26.07    (121)  all_56_0 = e3 | all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3
% 170.91/26.07    (122)  all_54_11 = all_52_14
% 170.91/26.07    (123)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 170.91/26.07    (124)   ~ (all_52_12 = all_52_13)
% 170.91/26.07  
% 170.91/26.07  Begin of proof
% 170.91/26.07  | 
% 170.91/26.07  | BETA: splitting (84) gives:
% 170.91/26.07  | 
% 170.91/26.07  | Case 1:
% 170.91/26.07  | | 
% 170.91/26.07  | |   (125)  all_56_6 = e0
% 170.91/26.07  | | 
% 170.91/26.07  | | COMBINE_EQS: (90), (125) imply:
% 170.91/26.07  | |   (126)  all_52_2 = e0
% 170.91/26.07  | | 
% 170.91/26.07  | | COMBINE_EQS: (60), (126) imply:
% 170.91/26.07  | |   (127)  all_58_18 = e0
% 170.91/26.07  | | 
% 170.91/26.07  | | REDUCE: (70), (126) imply:
% 170.91/26.07  | |   (128)   ~ (all_52_1 = e0)
% 170.91/26.07  | | 
% 170.91/26.07  | | REDUCE: (102), (126) imply:
% 170.91/26.08  | |   (129)   ~ (all_52_3 = e0)
% 170.91/26.08  | | 
% 170.91/26.08  | | REDUCE: (108), (126) imply:
% 170.91/26.08  | |   (130)   ~ (all_52_14 = e0)
% 170.91/26.08  | | 
% 170.91/26.08  | | REDUCE: (120), (126) imply:
% 170.91/26.08  | |   (131)   ~ (all_10_2 = e0)
% 170.91/26.08  | | 
% 170.91/26.08  | | REDUCE: (8), (126) imply:
% 170.91/26.08  | |   (132)   ~ (all_6_2 = e0)
% 170.91/26.08  | | 
% 170.91/26.08  | | REDUCE: (79), (126) imply:
% 170.91/26.08  | |   (133)  op(e1, e0) = all_58_8
% 170.91/26.08  | | 
% 170.91/26.08  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (10), (12), (14), (15), (17), (19),
% 170.91/26.08  | |            (20), (21), (22), (26), (28), (29), (31), (33), (35), (36), (37),
% 170.91/26.08  | |            (39), (40), (41), (43), (44), (45), (46), (47), (50), (51), (53),
% 170.91/26.08  | |            (54), (55), (56), (57), (58), (59), (62), (63), (64), (65), (66),
% 170.91/26.08  | |            (67), (68), (69), (71), (72), (73), (74), (75), (76), (77), (81),
% 170.91/26.08  | |            (83), (85), (88), (89), (91), (93), (94), (95), (96), (97), (98),
% 170.91/26.08  | |            (99), (101), (104), (105), (106), (109), (110), (111), (112),
% 170.91/26.08  | |            (113), (115), (117), (119), (121), (122), (127), (128), (133) are
% 170.91/26.08  | |            inconsistent by sub-proof #121.
% 170.91/26.08  | | 
% 170.91/26.08  | Case 2:
% 170.91/26.08  | | 
% 170.91/26.08  | |   (134)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 170.91/26.08  | | 
% 170.91/26.08  | | BETA: splitting (134) gives:
% 170.91/26.08  | | 
% 170.91/26.08  | | Case 1:
% 170.91/26.08  | | | 
% 170.91/26.08  | | |   (135)  all_56_7 = e0
% 170.91/26.08  | | | 
% 170.91/26.08  | | | COMBINE_EQS: (118), (135) imply:
% 170.91/26.08  | | |   (136)  all_52_6 = e0
% 170.91/26.08  | | | 
% 170.91/26.08  | | | COMBINE_EQS: (96), (136) imply:
% 170.91/26.08  | | |   (137)  all_58_22 = e0
% 170.91/26.08  | | | 
% 170.91/26.08  | | | REDUCE: (48), (136) imply:
% 170.91/26.08  | | |   (138)   ~ (all_52_2 = e0)
% 170.91/26.08  | | | 
% 170.91/26.08  | | | REDUCE: (38), (136) imply:
% 170.91/26.08  | | |   (139)   ~ (all_52_7 = e0)
% 170.91/26.08  | | | 
% 170.91/26.08  | | | SIMP: (139) implies:
% 170.91/26.08  | | |   (140)   ~ (all_52_7 = e0)
% 170.91/26.08  | | | 
% 170.91/26.08  | | | REDUCE: (73), (136) imply:
% 170.91/26.08  | | |   (141)   ~ (all_52_14 = e0)
% 170.91/26.08  | | | 
% 170.91/26.08  | | | REDUCE: (55), (136) imply:
% 170.91/26.08  | | |   (142)   ~ (all_10_2 = e0)
% 170.91/26.08  | | | 
% 170.91/26.08  | | | REDUCE: (16), (136) imply:
% 170.91/26.08  | | |   (143)   ~ (all_4_2 = e0)
% 170.91/26.08  | | | 
% 170.91/26.08  | | | SIMP: (143) implies:
% 170.91/26.08  | | |   (144)   ~ (all_4_2 = e0)
% 170.91/26.08  | | | 
% 170.91/26.08  | | | REDUCE: (116), (136) imply:
% 170.91/26.08  | | |   (145)  op(e1, e0) = all_58_9
% 170.91/26.08  | | | 
% 170.91/26.08  | | | BETA: splitting (64) gives:
% 170.91/26.08  | | | 
% 170.91/26.08  | | | Case 1:
% 170.91/26.08  | | | | 
% 170.91/26.08  | | | |   (146)  all_56_4 = e0
% 170.91/26.08  | | | | 
% 170.91/26.08  | | | | COMBINE_EQS: (76), (146) imply:
% 170.91/26.08  | | | |   (147)  all_52_8 = e0
% 170.91/26.08  | | | | 
% 170.91/26.08  | | | | COMBINE_EQS: (93), (147) imply:
% 170.91/26.08  | | | |   (148)  all_58_24 = e0
% 170.91/26.08  | | | | 
% 170.91/26.08  | | | | REDUCE: (103), (147) imply:
% 170.91/26.08  | | | |   (149)   ~ (all_52_4 = e0)
% 170.91/26.08  | | | | 
% 170.91/26.08  | | | | REDUCE: (65), (147) imply:
% 170.91/26.08  | | | |   (150)   ~ (all_52_9 = e0)
% 170.91/26.08  | | | | 
% 170.91/26.08  | | | | SIMP: (150) implies:
% 170.91/26.08  | | | |   (151)   ~ (all_52_9 = e0)
% 170.91/26.08  | | | | 
% 170.91/26.08  | | | | REDUCE: (86), (147) imply:
% 170.91/26.08  | | | |   (152)   ~ (all_52_11 = e0)
% 170.91/26.08  | | | | 
% 170.91/26.08  | | | | REDUCE: (6), (147) imply:
% 170.91/26.08  | | | |   (153)   ~ (all_52_12 = e0)
% 170.91/26.08  | | | | 
% 170.91/26.08  | | | | REDUCE: (52), (147) imply:
% 170.91/26.08  | | | |   (154)  op(e3, e0) = all_58_2
% 170.91/26.08  | | | | 
% 170.91/26.08  | | | | GROUND_INST: instantiating (105) with all_52_14, all_58_9, e0, e1,
% 170.91/26.08  | | | |              simplifying with (19), (145) gives:
% 170.91/26.08  | | | |   (155)  all_58_9 = all_52_14
% 170.91/26.08  | | | | 
% 170.91/26.08  | | | | REF_CLOSE: (3), (4), (7), (8), (9), (10), (11), (12), (13), (15), (18),
% 170.91/26.08  | | | |            (23), (24), (25), (26), (27), (28), (29), (30), (31), (32),
% 170.91/26.08  | | | |            (33), (34), (35), (39), (40), (41), (42), (44), (45), (46),
% 170.91/26.08  | | | |            (47), (49), (50), (58), (60), (61), (62), (63), (66), (67),
% 170.91/26.08  | | | |            (69), (71), (77), (78), (80), (81), (85), (87), (92), (94),
% 170.91/26.08  | | | |            (95), (98), (99), (100), (101), (102), (104), (105), (106),
% 170.91/26.08  | | | |            (107), (108), (109), (110), (113), (114), (115), (117),
% 170.91/26.08  | | | |            (119), (120), (122), (123), (124), (137), (140), (144),
% 170.91/26.08  | | | |            (146), (148), (149), (151), (154), (155) are inconsistent by
% 170.91/26.08  | | | |            sub-proof #119.
% 170.91/26.08  | | | | 
% 170.91/26.08  | | | Case 2:
% 170.91/26.08  | | | | 
% 170.91/26.08  | | | |   (156)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 170.91/26.08  | | | | 
% 170.91/26.08  | | | | REF_CLOSE: (3), (5), (12), (28), (31), (39), (67), (72), (82), (90),
% 170.91/26.08  | | | |            (91), (101), (111), (138), (156) are inconsistent by
% 170.91/26.08  | | | |            sub-proof #481.
% 170.91/26.08  | | | | 
% 170.91/26.08  | | | End of split
% 170.91/26.08  | | | 
% 170.91/26.08  | | Case 2:
% 170.91/26.08  | | | 
% 170.91/26.08  | | |   (157)  all_56_8 = e0 | all_56_11 = e0
% 170.91/26.08  | | | 
% 170.91/26.08  | | | REF_CLOSE: (5), (31), (37), (115), (157) are inconsistent by sub-proof
% 170.91/26.08  | | |            #912.
% 170.91/26.08  | | | 
% 170.91/26.08  | | End of split
% 170.91/26.08  | | 
% 170.91/26.08  | End of split
% 170.91/26.08  | 
% 170.91/26.08  End of proof
% 170.91/26.08  
% 170.91/26.08  Sub-proof #119 shows that the following formulas are inconsistent:
% 170.91/26.08  ----------------------------------------------------------------
% 170.91/26.08    (1)  all_56_12 = all_52_3
% 170.91/26.08    (2)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 170.91/26.08    (3)  all_58_23 = all_52_7
% 170.91/26.08    (4)   ~ (all_52_2 = all_6_2)
% 170.91/26.08    (5)   ~ (all_52_4 = all_4_2)
% 170.91/26.08    (6)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.91/26.08    (7)  all_54_3 = all_52_12
% 170.91/26.08    (8)  all_56_5 = all_52_9
% 170.91/26.08    (9)   ~ (all_52_3 = all_52_11)
% 170.91/26.08    (10)  op(e2, e0) = all_52_13
% 170.91/26.08    (11)  op(e3, all_6_2) = all_58_0
% 170.91/26.08    (12)  op(e3, e0) = all_58_2
% 170.91/26.08    (13)  op(all_10_2, e1) = all_10_1
% 170.91/26.08    (14)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 170.91/26.08    (15)  op(e1, all_10_2) = all_58_10
% 170.91/26.08    (16)   ~ (all_52_9 = all_4_2)
% 170.91/26.08    (17)  op(e1, e1) = all_10_2
% 170.91/26.08    (18)  all_56_14 = all_52_11
% 170.91/26.08    (19)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 170.91/26.08    (20)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.91/26.08    (21)  all_56_8 = all_10_2
% 170.91/26.08    (22)  all_58_9 = all_52_14
% 170.91/26.08    (23)  op(e2, all_52_1) = all_58_4
% 170.91/26.08    (24)   ~ (all_52_9 = e0)
% 170.91/26.08    (25)  all_58_26 = all_10_2
% 170.91/26.08    (26)   ~ (all_52_3 = all_6_2)
% 170.91/26.08    (27)   ~ (all_52_4 = e0)
% 170.91/26.08    (28)   ~ (all_52_1 = all_6_2)
% 170.91/26.08    (29)  all_56_0 = all_6_2
% 170.91/26.08    (30)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 170.91/26.08    (31)  all_58_27 = all_52_11
% 170.91/26.08    (32)  all_54_14 = all_52_11
% 170.91/26.08    (33)  all_58_17 = all_52_1
% 170.91/26.08    (34)  op(e2, all_4_2) = all_58_5
% 170.91/26.08    (35)  all_58_19 = all_52_3
% 170.91/26.08    (36)  all_56_9 = all_52_12
% 170.91/26.08    (37)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 170.91/26.08    (38)  all_58_22 = e0
% 170.91/26.08    (39)  op(e2, e2) = all_4_2
% 170.91/26.08    (40)  all_56_4 = e0
% 170.91/26.08    (41)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.91/26.08    (42)  all_58_18 = all_52_2
% 170.91/26.08    (43)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.91/26.08    (44)  all_58_16 = all_6_2
% 170.91/26.08    (45)   ~ (all_52_12 = e0)
% 170.91/26.08    (46)   ~ (all_52_4 = all_6_2)
% 170.91/26.08    (47)  all_56_2 = all_52_1
% 170.91/26.08    (48)  op(e3, e0) = all_52_12
% 170.91/26.08    (49)   ~ (all_52_13 = e0)
% 170.91/26.08    (50)   ~ (all_4_2 = e0)
% 170.91/26.08    (51)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.91/26.08    (52)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 170.91/26.08    (53)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 170.91/26.08    (54)  all_58_20 = all_52_4
% 170.91/26.08    (55)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.91/26.08    (56)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 170.91/26.08    (57)  op(e3, e3) = all_6_2
% 170.91/26.08    (58)   ~ (all_52_7 = e0)
% 170.91/26.08    (59)   ~ (all_52_12 = all_52_14)
% 170.91/26.08    (60)   ~ (all_52_9 = all_52_11)
% 170.91/26.08    (61)  all_56_3 = all_4_2
% 170.91/26.08    (62)  all_54_0 = all_6_2
% 170.91/26.08    (63)   ~ (all_52_14 = all_10_2)
% 170.91/26.08    (64)  all_58_24 = e0
% 170.91/26.08    (65)   ~ (all_52_11 = e0)
% 170.91/26.08    (66)   ~ (all_52_2 = all_52_3)
% 170.91/26.08    (67)  all_58_25 = all_52_9
% 170.91/26.08    (68)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.91/26.08            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.91/26.08    (69)  all_58_15 = e0
% 170.91/26.08    (70)  all_54_12 = all_52_3
% 170.91/26.08    (71)   ~ (all_52_2 = all_52_14)
% 170.91/26.08    (72)  all_58_21 = all_4_2
% 170.91/26.08    (73)  all_56_10 = all_52_13
% 170.91/26.08    (74)   ~ (e2 = e0)
% 170.91/26.08    (75)   ~ (all_52_1 = all_52_3)
% 170.91/26.08    (76)   ~ (all_52_14 = e0)
% 170.91/26.08    (77)   ~ (e1 = e0)
% 170.91/26.08    (78)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 170.91/26.08            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 170.91/26.08            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 170.91/26.08            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 170.91/26.08            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 170.91/26.08            (all_58_15 = e0))
% 170.91/26.08    (79)   ~ (all_52_2 = all_10_2)
% 170.91/26.08    (80)  all_54_11 = all_52_14
% 170.91/26.08    (81)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 170.91/26.08    (82)   ~ (all_52_12 = all_52_13)
% 170.91/26.08  
% 170.91/26.08  Begin of proof
% 170.91/26.08  | 
% 170.91/26.08  | BETA: splitting (51) gives:
% 170.91/26.08  | 
% 170.91/26.08  | Case 1:
% 170.91/26.08  | | 
% 170.91/26.08  | |   (83)  all_56_2 = e0
% 170.91/26.08  | | 
% 170.91/26.08  | | COMBINE_EQS: (47), (83) imply:
% 170.91/26.08  | |   (84)  all_52_1 = e0
% 170.91/26.08  | | 
% 170.91/26.08  | | COMBINE_EQS: (33), (84) imply:
% 170.91/26.08  | |   (85)  all_58_17 = e0
% 170.91/26.08  | | 
% 170.91/26.08  | | REDUCE: (75), (84) imply:
% 170.91/26.08  | |   (86)   ~ (all_52_3 = e0)
% 170.91/26.08  | | 
% 170.91/26.08  | | SIMP: (86) implies:
% 170.91/26.08  | |   (87)   ~ (all_52_3 = e0)
% 170.91/26.08  | | 
% 170.91/26.08  | | REDUCE: (28), (84) imply:
% 170.91/26.08  | |   (88)   ~ (all_6_2 = e0)
% 170.91/26.08  | | 
% 170.91/26.08  | | SIMP: (88) implies:
% 170.91/26.08  | |   (89)   ~ (all_6_2 = e0)
% 170.91/26.08  | | 
% 170.91/26.08  | | REDUCE: (23), (84) imply:
% 170.91/26.08  | |   (90)  op(e2, e0) = all_58_4
% 170.91/26.08  | | 
% 170.91/26.08  | | GROUND_INST: instantiating (68) with all_52_13, all_58_4, e0, e2,
% 170.91/26.08  | |              simplifying with (10), (90) gives:
% 170.91/26.08  | |   (91)  all_58_4 = all_52_13
% 170.91/26.08  | | 
% 170.91/26.08  | | GROUND_INST: instantiating (68) with all_52_12, all_58_2, e0, e3,
% 170.91/26.08  | |              simplifying with (12), (48) gives:
% 170.91/26.08  | |   (92)  all_58_2 = all_52_12
% 170.91/26.08  | | 
% 170.91/26.08  | | BETA: splitting (14) gives:
% 170.91/26.08  | | 
% 170.91/26.08  | | Case 1:
% 170.91/26.08  | | | 
% 170.91/26.08  | | |   (93)  all_54_3 = e0
% 170.91/26.08  | | | 
% 170.91/26.08  | | | REF_CLOSE: (7), (45), (93) are inconsistent by sub-proof #898.
% 170.91/26.08  | | | 
% 170.91/26.08  | | Case 2:
% 170.91/26.08  | | | 
% 170.91/26.08  | | |   (94)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 170.91/26.08  | | | 
% 170.91/26.08  | | | BETA: splitting (53) gives:
% 170.91/26.08  | | | 
% 170.91/26.08  | | | Case 1:
% 170.91/26.08  | | | | 
% 170.91/26.08  | | | |   (95)  all_54_12 = e0
% 170.91/26.08  | | | | 
% 170.91/26.08  | | | | REF_CLOSE: (70), (87), (95) are inconsistent by sub-proof #559.
% 170.91/26.08  | | | | 
% 170.91/26.08  | | | Case 2:
% 170.91/26.08  | | | | 
% 170.91/26.08  | | | |   (96)   ~ (all_54_12 = e0)
% 170.91/26.08  | | | |   (97)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 170.91/26.08  | | | | 
% 170.91/26.08  | | | | BETA: splitting (19) gives:
% 170.91/26.08  | | | | 
% 170.91/26.08  | | | | Case 1:
% 170.91/26.08  | | | | | 
% 170.91/26.08  | | | | |   (98)  all_54_11 = e0
% 170.91/26.08  | | | | | 
% 170.91/26.08  | | | | | REF_CLOSE: (76), (80), (98) are inconsistent by sub-proof #558.
% 170.91/26.08  | | | | | 
% 170.91/26.08  | | | | Case 2:
% 170.91/26.08  | | | | | 
% 170.91/26.08  | | | | |   (99)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 170.91/26.08  | | | | | 
% 170.91/26.08  | | | | | BETA: splitting (37) gives:
% 170.91/26.08  | | | | | 
% 170.91/26.08  | | | | | Case 1:
% 170.91/26.08  | | | | | | 
% 170.91/26.08  | | | | | |   (100)  all_54_14 = e0
% 170.91/26.08  | | | | | | 
% 170.91/26.08  | | | | | | REF_CLOSE: (32), (65), (100) are inconsistent by sub-proof #799.
% 170.91/26.08  | | | | | | 
% 170.91/26.08  | | | | | Case 2:
% 170.91/26.08  | | | | | | 
% 170.91/26.08  | | | | | |   (101)   ~ (all_54_14 = e0)
% 170.91/26.08  | | | | | |   (102)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 170.91/26.08  | | | | | | 
% 170.91/26.08  | | | | | | BETA: splitting (2) gives:
% 170.91/26.08  | | | | | | 
% 170.91/26.08  | | | | | | Case 1:
% 170.91/26.08  | | | | | | | 
% 170.91/26.08  | | | | | | |   (103)  all_54_0 = e0
% 170.91/26.08  | | | | | | | 
% 170.91/26.08  | | | | | | | REF_CLOSE: (62), (89), (103) are inconsistent by sub-proof #984.
% 170.91/26.08  | | | | | | | 
% 170.91/26.08  | | | | | | Case 2:
% 170.91/26.08  | | | | | | | 
% 170.91/26.08  | | | | | | |   (104)   ~ (all_54_0 = e0)
% 170.91/26.08  | | | | | | |   (105)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 170.91/26.08  | | | | | | | 
% 170.91/26.08  | | | | | | | BETA: splitting (55) gives:
% 170.91/26.08  | | | | | | | 
% 170.91/26.08  | | | | | | | Case 1:
% 170.91/26.08  | | | | | | | | 
% 170.91/26.08  | | | | | | | |   (106)  all_58_23 = e0
% 170.91/26.08  | | | | | | | | 
% 170.91/26.08  | | | | | | | | COMBINE_EQS: (3), (106) imply:
% 170.91/26.08  | | | | | | | |   (107)  all_52_7 = e0
% 170.91/26.08  | | | | | | | | 
% 170.91/26.08  | | | | | | | | REDUCE: (58), (107) imply:
% 170.91/26.08  | | | | | | | |   (108)  $false
% 170.91/26.08  | | | | | | | | 
% 170.91/26.08  | | | | | | | | CLOSE: (108) is inconsistent.
% 170.91/26.08  | | | | | | | | 
% 170.91/26.08  | | | | | | | Case 2:
% 170.91/26.08  | | | | | | | | 
% 170.91/26.08  | | | | | | | |   (109)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 170.91/26.08  | | | | | | | | 
% 170.91/26.08  | | | | | | | | BETA: splitting (30) gives:
% 170.91/26.08  | | | | | | | | 
% 170.91/26.08  | | | | | | | | Case 1:
% 170.91/26.08  | | | | | | | | | 
% 170.91/26.08  | | | | | | | | |   (110)  all_58_27 = e0
% 170.91/26.08  | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | REF_CLOSE: (31), (65), (110) are inconsistent by sub-proof
% 170.91/26.08  | | | | | | | | |            #663.
% 170.91/26.08  | | | | | | | | | 
% 170.91/26.08  | | | | | | | | Case 2:
% 170.91/26.08  | | | | | | | | | 
% 170.91/26.08  | | | | | | | | |   (111)   ~ (all_58_27 = e0)
% 170.91/26.08  | | | | | | | | |   (112)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 170.91/26.08  | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | BETA: splitting (6) gives:
% 170.91/26.08  | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | Case 1:
% 170.91/26.08  | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | |   (113)  all_58_19 = e0
% 170.91/26.08  | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | COMBINE_EQS: (35), (113) imply:
% 170.91/26.08  | | | | | | | | | |   (114)  all_52_3 = e0
% 170.91/26.08  | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | REDUCE: (87), (114) imply:
% 170.91/26.08  | | | | | | | | | |   (115)  $false
% 170.91/26.08  | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | CLOSE: (115) is inconsistent.
% 170.91/26.08  | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | Case 2:
% 170.91/26.08  | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | |   (116)   ~ (all_58_19 = e0)
% 170.91/26.08  | | | | | | | | | |   (117)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 170.91/26.08  | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | BETA: splitting (52) gives:
% 170.91/26.08  | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | Case 1:
% 170.91/26.08  | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | |   (118)  all_56_12 = e3
% 170.91/26.08  | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | COMBINE_EQS: (1), (118) imply:
% 170.91/26.08  | | | | | | | | | | |   (119)  all_52_3 = e3
% 170.91/26.08  | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | SIMP: (119) implies:
% 170.91/26.08  | | | | | | | | | | |   (120)  all_52_3 = e3
% 170.91/26.08  | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | REDUCE: (9), (120) imply:
% 170.91/26.08  | | | | | | | | | | |   (121)   ~ (all_52_11 = e3)
% 170.91/26.08  | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | SIMP: (121) implies:
% 170.91/26.08  | | | | | | | | | | |   (122)   ~ (all_52_11 = e3)
% 170.91/26.08  | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | REDUCE: (26), (120) imply:
% 170.91/26.08  | | | | | | | | | | |   (123)   ~ (all_6_2 = e3)
% 170.91/26.08  | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | SIMP: (123) implies:
% 170.91/26.08  | | | | | | | | | | |   (124)   ~ (all_6_2 = e3)
% 170.91/26.08  | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | REDUCE: (87), (120) imply:
% 170.91/26.08  | | | | | | | | | | |   (125)   ~ (e3 = e0)
% 170.91/26.08  | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | BETA: splitting (117) gives:
% 170.91/26.08  | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | Case 1:
% 170.91/26.08  | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | |   (126)  all_58_18 = e1
% 170.91/26.08  | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | COMBINE_EQS: (42), (126) imply:
% 170.91/26.08  | | | | | | | | | | | |   (127)  all_52_2 = e1
% 170.91/26.08  | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | SIMP: (127) implies:
% 170.91/26.08  | | | | | | | | | | | |   (128)  all_52_2 = e1
% 170.91/26.08  | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | REDUCE: (71), (128) imply:
% 170.91/26.08  | | | | | | | | | | | |   (129)   ~ (all_52_14 = e1)
% 170.91/26.08  | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | SIMP: (129) implies:
% 170.91/26.08  | | | | | | | | | | | |   (130)   ~ (all_52_14 = e1)
% 170.91/26.08  | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | REDUCE: (79), (128) imply:
% 170.91/26.08  | | | | | | | | | | | |   (131)   ~ (all_10_2 = e1)
% 170.91/26.08  | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | SIMP: (131) implies:
% 170.91/26.08  | | | | | | | | | | | |   (132)   ~ (all_10_2 = e1)
% 170.91/26.08  | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | REDUCE: (4), (128) imply:
% 170.91/26.08  | | | | | | | | | | | |   (133)   ~ (all_6_2 = e1)
% 170.91/26.08  | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | SIMP: (133) implies:
% 170.91/26.08  | | | | | | | | | | | |   (134)   ~ (all_6_2 = e1)
% 170.91/26.08  | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | BETA: splitting (112) gives:
% 170.91/26.08  | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | Case 1:
% 170.91/26.08  | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | |   (135)  all_58_26 = e1
% 170.91/26.08  | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | COMBINE_EQS: (25), (135) imply:
% 170.91/26.08  | | | | | | | | | | | | |   (136)  all_10_2 = e1
% 170.91/26.08  | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | REDUCE: (132), (136) imply:
% 170.91/26.08  | | | | | | | | | | | | |   (137)  $false
% 170.91/26.08  | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | CLOSE: (137) is inconsistent.
% 170.91/26.08  | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | Case 2:
% 170.91/26.08  | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | |   (138)  all_58_24 = e3 | all_58_25 = e2
% 170.91/26.08  | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | BETA: splitting (138) gives:
% 170.91/26.08  | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | Case 1:
% 170.91/26.08  | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | |   (139)  all_58_25 = e2
% 170.91/26.08  | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | COMBINE_EQS: (67), (139) imply:
% 170.91/26.08  | | | | | | | | | | | | | |   (140)  all_52_9 = e2
% 170.91/26.08  | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | COMBINE_EQS: (8), (140) imply:
% 170.91/26.08  | | | | | | | | | | | | | |   (141)  all_56_5 = e2
% 170.91/26.08  | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | REDUCE: (60), (140) imply:
% 170.91/26.08  | | | | | | | | | | | | | |   (142)   ~ (all_52_11 = e2)
% 170.91/26.08  | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | SIMP: (142) implies:
% 170.91/26.08  | | | | | | | | | | | | | |   (143)   ~ (all_52_11 = e2)
% 170.91/26.08  | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | REDUCE: (16), (140) imply:
% 170.91/26.08  | | | | | | | | | | | | | |   (144)   ~ (all_4_2 = e2)
% 170.91/26.08  | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | SIMP: (144) implies:
% 170.91/26.08  | | | | | | | | | | | | | |   (145)   ~ (all_4_2 = e2)
% 170.91/26.08  | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | BETA: splitting (43) gives:
% 170.91/26.08  | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | Case 1:
% 170.91/26.08  | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | |   (146)  all_56_0 = e2
% 170.91/26.08  | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | COMBINE_EQS: (29), (146) imply:
% 170.91/26.08  | | | | | | | | | | | | | | |   (147)  all_6_2 = e2
% 170.91/26.08  | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | SIMP: (147) implies:
% 170.91/26.08  | | | | | | | | | | | | | | |   (148)  all_6_2 = e2
% 170.91/26.08  | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | REDUCE: (46), (148) imply:
% 170.91/26.08  | | | | | | | | | | | | | | |   (149)   ~ (all_52_4 = e2)
% 170.91/26.08  | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | REDUCE: (124), (148) imply:
% 170.91/26.08  | | | | | | | | | | | | | | |   (150)   ~ (e3 = e2)
% 170.91/26.08  | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | SIMP: (150) implies:
% 170.91/26.08  | | | | | | | | | | | | | | |   (151)   ~ (e3 = e2)
% 170.91/26.08  | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | BETA: splitting (56) gives:
% 170.91/26.08  | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | Case 1:
% 170.91/26.08  | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | |   (152)  all_56_4 = e3
% 170.91/26.08  | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | REF_CLOSE: (40), (125), (152) are inconsistent by sub-proof
% 170.91/26.08  | | | | | | | | | | | | | | | |            #486.
% 170.91/26.08  | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | Case 2:
% 170.91/26.08  | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | |   (153)  all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 170.91/26.08  | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | BETA: splitting (102) gives:
% 170.91/26.08  | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | Case 1:
% 170.91/26.08  | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | |   (154)  all_54_14 = e1
% 170.91/26.08  | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | COMBINE_EQS: (32), (154) imply:
% 170.91/26.08  | | | | | | | | | | | | | | | | |   (155)  all_52_11 = e1
% 170.91/26.08  | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | SIMP: (155) implies:
% 170.91/26.08  | | | | | | | | | | | | | | | | |   (156)  all_52_11 = e1
% 170.91/26.08  | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | COMBINE_EQS: (18), (156) imply:
% 170.91/26.08  | | | | | | | | | | | | | | | | |   (157)  all_56_14 = e1
% 170.91/26.08  | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | REDUCE: (122), (156) imply:
% 170.91/26.08  | | | | | | | | | | | | | | | | |   (158)   ~ (e3 = e1)
% 170.91/26.08  | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | SIMP: (158) implies:
% 170.91/26.08  | | | | | | | | | | | | | | | | |   (159)   ~ (e3 = e1)
% 170.91/26.08  | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | BETA: splitting (109) gives:
% 170.91/26.08  | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | Case 1:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | |   (160)  all_58_22 = e1
% 170.91/26.08  | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (77), (160) are inconsistent by sub-proof
% 170.91/26.08  | | | | | | | | | | | | | | | | | |            #923.
% 170.91/26.08  | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | Case 2:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | |   (161)  all_58_20 = e3 | all_58_21 = e2
% 170.91/26.08  | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | Case 1:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | |   (162)  all_56_5 = e3
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (151), (162) are inconsistent by sub-proof
% 170.91/26.08  | | | | | | | | | | | | | | | | | | |            #356.
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | Case 2:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | |   (163)  all_56_8 = e3 | all_56_14 = e3
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | Case 1:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | |   (164)  all_56_8 = e3
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21), (164) imply:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | |   (165)  all_10_2 = e3
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (165) imply:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | |   (166)   ~ (all_52_14 = e3)
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | BETA: splitting (99) gives:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | |   (167)  all_54_11 = e1
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (130), (167) are inconsistent by sub-proof
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | |            #929.
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | |   (168)  all_54_11 = e3 | all_54_11 = e2
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | |   (169)  all_54_11 = e2
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (80), (169) imply:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | |   (170)  all_52_14 = e2
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | SIMP: (170) implies:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | |   (171)  all_52_14 = e2
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22), (171) imply:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | |   (172)  all_58_9 = e2
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (59), (171) imply:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | |   (173)   ~ (all_52_12 = e2)
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | |   (174)  all_58_21 = e2
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (72), (174) imply:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | |   (175)  all_4_2 = e2
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (175) imply:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | |   (176)  $false
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (176) is inconsistent.
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | |   (177)  all_58_20 = e3
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | |   (178)   ~ (all_58_21 = e2)
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (54), (177) imply:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | |   (179)  all_52_4 = e3
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (179) imply:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | |   (180)   ~ (all_4_2 = e3)
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (180) implies:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | |   (181)   ~ (all_4_2 = e3)
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (81) gives:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | |   (182)  all_56_2 = e3
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (83), (182) imply:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | |   (183)  e3 = e0
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (72), (125), (145), (161), (177), (183) are
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #649.
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | |   (184)  all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | |   (185)  all_56_3 = e3
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (61), (185) imply:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | |   (186)  all_4_2 = e3
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (181), (186) imply:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | |   (187)  $false
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (187) is inconsistent.
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | |   (188)  all_56_5 = e3 | all_56_10 = e3
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | |   (189)  all_56_5 = e3
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (141), (189) imply:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | |   (190)  e3 = e2
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (72), (145), (151), (161), (177), (190) are
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #171.
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | |   (191)  all_56_10 = e3
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (73), (191) imply:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | |   (192)  all_52_13 = e3
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (91), (192) imply:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | |   (193)  all_58_4 = e3
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (82), (192) imply:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | |   (194)   ~ (all_52_12 = e3)
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (41) gives:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (195)  all_56_9 = e1
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (36), (195) imply:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (196)  all_52_12 = e1
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (92), (196) imply:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (197)  all_58_2 = e1
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (78) gives:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (198)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_58_2 = e1) &  ~ (all_58_3 = e0)) | ( ~
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_58_6 = e1) &  ~ (all_58_7 = e0))
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (199)   ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_2 = e1) &  ~ (all_58_3 = e0)
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (199) implies:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (200)   ~ (all_58_2 = e1)
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (197), (200) imply:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (201)  $false
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (201) is inconsistent.
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (202)   ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_6 = e1) &  ~ (all_58_7 = e0)
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (202) implies:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (203)   ~ (all_58_4 = e3)
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (193), (203) imply:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (204)  $false
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (204) is inconsistent.
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (205)  ( ~ (all_58_8 = e3) &  ~ (all_58_9 = e2) &  ~
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_58_14 = e1) &  ~ (all_58_15 = e0))
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (206)   ~ (all_58_8 = e3) &  ~ (all_58_9 = e2) &  ~
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_10 = e1) &  ~ (all_58_11 = e0)
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (206) implies:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (207)   ~ (all_58_9 = e2)
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (207) imply:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (208)  $false
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (208) is inconsistent.
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (209)   ~ (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_14 = e1) &  ~ (all_58_15 = e0)
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (209) implies:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (210)   ~ (all_58_15 = e0)
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (210) imply:
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  $false
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (211) is inconsistent.
% 170.91/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (212)   ~ (all_56_9 = e1)
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (212) imply:
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (213)   ~ (all_52_12 = e1)
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (94), (173), (194), (213) are inconsistent by
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #890.
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | | End of split
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | |   (214)  all_54_11 = e3
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (166), (214) are inconsistent by sub-proof
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | |            #927.
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | End of split
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | End of split
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | Case 2:
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | |   (215)  all_56_14 = e3
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (157), (215) imply:
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | |   (216)  e3 = e1
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (216) imply:
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | |   (217)  $false
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | CLOSE: (217) is inconsistent.
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | End of split
% 170.91/26.09  | | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | End of split
% 170.91/26.09  | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | End of split
% 170.91/26.09  | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | Case 2:
% 170.91/26.09  | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | |   (218)  all_54_14 = e3 | all_54_14 = e2
% 170.91/26.09  | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (122), (143), (218) are inconsistent by
% 170.91/26.09  | | | | | | | | | | | | | | | | |            sub-proof #772.
% 170.91/26.09  | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | End of split
% 170.91/26.09  | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | End of split
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | Case 2:
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | |   (219)   ~ (all_56_0 = e2)
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | REDUCE: (29), (219) imply:
% 170.91/26.09  | | | | | | | | | | | | | | |   (220)   ~ (all_6_2 = e2)
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | REF_CLOSE: (62), (105), (124), (134), (220) are inconsistent
% 170.91/26.09  | | | | | | | | | | | | | | |            by sub-proof #848.
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | End of split
% 170.91/26.09  | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | Case 2:
% 170.91/26.09  | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | |   (221)  all_58_24 = e3
% 170.91/26.09  | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | REF_CLOSE: (64), (125), (221) are inconsistent by sub-proof
% 170.91/26.09  | | | | | | | | | | | | | |            #926.
% 170.91/26.09  | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | End of split
% 170.91/26.09  | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | End of split
% 170.91/26.09  | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | Case 2:
% 170.91/26.09  | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | |   (222)  all_58_16 = e3 | all_58_17 = e2
% 170.91/26.09  | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | REF_CLOSE: (44), (74), (85), (124), (222) are inconsistent by
% 170.91/26.09  | | | | | | | | | | | |            sub-proof #814.
% 170.91/26.09  | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | End of split
% 170.91/26.09  | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | Case 2:
% 170.91/26.09  | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | |   (223)   ~ (all_56_12 = e3)
% 170.91/26.09  | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | REDUCE: (1), (223) imply:
% 170.91/26.09  | | | | | | | | | | |   (224)   ~ (all_52_3 = e3)
% 170.91/26.09  | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | REF_CLOSE: (4), (11), (13), (15), (16), (17), (20), (25),
% 170.91/26.09  | | | | | | | | | | |            (26), (29), (34), (38), (39), (42), (44), (46),
% 170.91/26.09  | | | | | | | | | | |            (54), (57), (62), (64), (66), (67), (68), (69),
% 170.91/26.09  | | | | | | | | | | |            (70), (72), (74), (77), (78), (85), (89), (97),
% 170.91/26.09  | | | | | | | | | | |            (105), (109), (112), (117), (224) are inconsistent
% 170.91/26.09  | | | | | | | | | | |            by sub-proof #120.
% 170.91/26.09  | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | End of split
% 170.91/26.09  | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | End of split
% 170.91/26.09  | | | | | | | | | 
% 170.91/26.09  | | | | | | | | End of split
% 170.91/26.09  | | | | | | | | 
% 170.91/26.09  | | | | | | | End of split
% 170.91/26.09  | | | | | | | 
% 170.91/26.09  | | | | | | End of split
% 170.91/26.09  | | | | | | 
% 170.91/26.09  | | | | | End of split
% 170.91/26.09  | | | | | 
% 170.91/26.09  | | | | End of split
% 170.91/26.09  | | | | 
% 170.91/26.09  | | | End of split
% 170.91/26.09  | | | 
% 170.91/26.09  | | End of split
% 170.91/26.09  | | 
% 170.91/26.09  | Case 2:
% 170.91/26.09  | | 
% 170.91/26.09  | |   (225)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.91/26.09  | | 
% 170.91/26.09  | | REF_CLOSE: (8), (24), (49), (50), (61), (73), (225) are inconsistent by
% 170.91/26.09  | |            sub-proof #695.
% 170.91/26.09  | | 
% 170.91/26.09  | End of split
% 170.91/26.09  | 
% 170.91/26.09  End of proof
% 170.91/26.09  
% 170.91/26.09  Sub-proof #120 shows that the following formulas are inconsistent:
% 170.91/26.09  ----------------------------------------------------------------
% 170.91/26.09    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 170.91/26.09    (2)   ~ (all_52_2 = all_6_2)
% 170.91/26.09    (3)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 170.91/26.09    (4)  op(e3, all_6_2) = all_58_0
% 170.91/26.09    (5)  op(all_10_2, e1) = all_10_1
% 170.91/26.09    (6)  op(e1, all_10_2) = all_58_10
% 170.91/26.09    (7)   ~ (all_52_9 = all_4_2)
% 170.91/26.09    (8)  op(e1, e1) = all_10_2
% 170.91/26.09    (9)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 170.91/26.09    (10)  all_58_26 = all_10_2
% 170.91/26.09    (11)   ~ (all_52_3 = all_6_2)
% 170.91/26.09    (12)  all_56_0 = all_6_2
% 170.91/26.09    (13)  op(e2, all_4_2) = all_58_5
% 170.91/26.09    (14)  all_58_22 = e0
% 170.91/26.09    (15)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 170.91/26.09    (16)  op(e2, e2) = all_4_2
% 170.91/26.09    (17)   ~ (all_52_3 = e3)
% 170.91/26.09    (18)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 170.91/26.09    (19)  all_58_18 = all_52_2
% 170.91/26.09    (20)  all_58_16 = all_6_2
% 170.91/26.09    (21)   ~ (all_52_4 = all_6_2)
% 170.91/26.09    (22)   ~ (all_6_2 = e0)
% 170.91/26.09    (23)  all_58_20 = all_52_4
% 170.91/26.09    (24)  all_58_17 = e0
% 170.91/26.09    (25)  op(e3, e3) = all_6_2
% 170.91/26.09    (26)  all_54_0 = all_6_2
% 170.91/26.09    (27)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 170.91/26.09    (28)  all_58_24 = e0
% 170.91/26.09    (29)   ~ (all_52_2 = all_52_3)
% 170.91/26.09    (30)  all_58_25 = all_52_9
% 170.91/26.09    (31)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.91/26.09            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.91/26.09    (32)  all_58_15 = e0
% 170.91/26.09    (33)  all_54_12 = all_52_3
% 170.91/26.09    (34)  all_58_21 = all_4_2
% 170.91/26.09    (35)   ~ (e2 = e0)
% 170.91/26.09    (36)   ~ (e1 = e0)
% 170.91/26.09    (37)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 170.91/26.09            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 170.91/26.09            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 170.91/26.09            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 170.91/26.09            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 170.91/26.09            (all_58_15 = e0))
% 170.91/26.09  
% 170.91/26.09  Begin of proof
% 170.91/26.09  | 
% 170.91/26.09  | BETA: splitting (9) gives:
% 170.91/26.09  | 
% 170.91/26.09  | Case 1:
% 170.91/26.09  | | 
% 170.91/26.09  | |   (38)  all_56_0 = e3
% 170.91/26.09  | | 
% 170.91/26.09  | | COMBINE_EQS: (12), (38) imply:
% 170.91/26.09  | |   (39)  all_6_2 = e3
% 170.91/26.09  | | 
% 170.91/26.09  | | SIMP: (39) implies:
% 170.91/26.09  | |   (40)  all_6_2 = e3
% 170.91/26.09  | | 
% 170.91/26.09  | | REF_CLOSE: (1), (4), (5), (6), (7), (8), (10), (13), (14), (15), (16), (21),
% 170.91/26.09  | |            (22), (23), (25), (28), (30), (31), (32), (34), (36), (37), (40)
% 170.91/26.09  | |            are inconsistent by sub-proof #920.
% 170.91/26.09  | | 
% 170.91/26.09  | Case 2:
% 170.91/26.09  | | 
% 170.91/26.09  | |   (41)   ~ (all_56_0 = e3)
% 170.91/26.09  | | 
% 170.91/26.09  | | REDUCE: (12), (41) imply:
% 170.91/26.09  | |   (42)   ~ (all_6_2 = e3)
% 170.91/26.09  | | 
% 170.91/26.09  | | REF_CLOSE: (2), (3), (11), (17), (18), (19), (20), (24), (26), (27), (29),
% 170.91/26.09  | |            (33), (35), (42) are inconsistent by sub-proof #806.
% 170.91/26.09  | | 
% 170.91/26.09  | End of split
% 170.91/26.09  | 
% 170.91/26.09  End of proof
% 170.91/26.09  
% 170.91/26.09  Sub-proof #121 shows that the following formulas are inconsistent:
% 170.91/26.09  ----------------------------------------------------------------
% 170.91/26.09    (1)  all_56_1 = all_52_4
% 170.91/26.09    (2)  op(all_4_2, e2) = e0
% 170.91/26.09    (3)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 170.91/26.09    (4)   ~ (all_10_2 = e0)
% 170.91/26.09    (5)   ~ (all_52_8 = all_52_12)
% 170.91/26.09    (6)  all_58_23 = all_52_7
% 170.91/26.09    (7)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 170.91/26.09    (8)  all_56_5 = all_52_9
% 170.91/26.09    (9)   ~ (all_52_12 = all_6_2)
% 170.91/26.09    (10)  op(e2, e0) = all_52_13
% 170.91/26.09    (11)  op(e1, e0) = all_58_8
% 170.91/26.09    (12)   ~ (all_14_2 = e1)
% 170.91/26.09    (13)  op(e1, e0) = all_52_14
% 170.91/26.09    (14)  all_56_15 = all_14_2
% 170.91/26.09    (15)  op(e0, e2) = all_52_7
% 170.91/26.09    (16)  op(e3, all_52_4) = all_58_1
% 170.91/26.09    (17)   ~ (all_52_9 = all_4_2)
% 170.91/26.09    (18)  all_56_14 = all_52_11
% 170.91/26.09    (19)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 170.91/26.09    (20)  all_56_8 = all_10_2
% 170.91/26.09    (21)  all_58_26 = all_10_2
% 170.91/26.09    (22)  all_58_18 = e0
% 170.91/26.09    (23)   ~ (all_52_1 = all_6_2)
% 170.91/26.09    (24)  all_54_2 = all_52_8
% 170.91/26.09    (25)  all_56_11 = all_52_14
% 170.91/26.09    (26)  all_56_0 = all_6_2
% 170.91/26.09    (27)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 170.91/26.09    (28)  all_58_27 = all_52_11
% 170.91/26.09    (29)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 170.91/26.09    (30)  all_58_17 = all_52_1
% 170.91/26.09    (31)  op(e2, all_4_2) = all_58_5
% 170.91/26.09    (32)  all_58_19 = all_52_3
% 170.91/26.09    (33)  all_56_9 = all_52_12
% 170.91/26.09    (34)  op(e2, e2) = all_4_2
% 170.91/26.09    (35)   ~ (e3 = e2)
% 170.91/26.09    (36)   ~ (all_52_4 = all_52_7)
% 170.91/26.09    (37)   ~ (e2 = e1)
% 170.91/26.09    (38)   ~ (all_52_6 = all_10_2)
% 170.91/26.09    (39)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 170.91/26.09    (40)   ~ (all_52_1 = all_4_2)
% 170.91/26.09    (41)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.91/26.09    (42)   ~ (all_52_13 = all_52_14)
% 170.91/26.09    (43)  all_58_16 = all_6_2
% 170.91/26.09    (44)   ~ (all_52_12 = e0)
% 170.91/26.09    (45)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 170.91/26.09    (46)   ~ (all_52_8 = all_52_9)
% 170.91/26.09    (47)   ~ (all_52_4 = all_6_2)
% 170.91/26.09    (48)  all_56_2 = all_52_1
% 170.91/26.09    (49)   ~ (e3 = e0)
% 170.91/26.09    (50)  op(e3, e0) = all_52_12
% 170.91/26.09    (51)   ~ (all_52_13 = e0)
% 170.91/26.09    (52)   ~ (all_6_2 = e0)
% 170.91/26.09    (53)   ~ (all_52_6 = all_52_14)
% 170.91/26.09    (54)   ~ (all_52_7 = all_4_2)
% 170.91/26.09    (55)   ~ (all_52_8 = all_10_2)
% 170.91/26.09    (56)  all_56_4 = all_52_8
% 170.91/26.09    (57)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.91/26.09    (58)  all_58_20 = all_52_4
% 170.91/26.09    (59)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 170.91/26.09    (60)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.91/26.09    (61)   ~ (all_52_8 = all_6_2)
% 170.91/26.09    (62)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 170.91/26.09    (63)   ~ (all_52_1 = all_52_9)
% 170.91/26.09    (64)  all_58_24 = all_52_8
% 170.91/26.09    (65)   ~ (all_52_12 = all_52_14)
% 170.91/26.09    (66)   ~ (all_52_9 = all_52_11)
% 170.91/26.09    (67)  all_58_22 = all_52_6
% 170.91/26.09    (68)   ~ (all_52_4 = all_52_12)
% 170.91/26.09    (69)  all_56_3 = all_4_2
% 170.91/26.09    (70)  all_54_0 = all_6_2
% 170.91/26.09    (71)   ~ (all_52_11 = e0)
% 170.91/26.09    (72)   ~ (all_52_1 = e0)
% 170.91/26.09    (73)  all_58_25 = all_52_9
% 170.91/26.09    (74)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.91/26.09            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.91/26.09    (75)  all_58_15 = e0
% 170.91/26.09    (76)  all_58_21 = all_4_2
% 170.91/26.09    (77)  all_56_10 = all_52_13
% 170.91/26.09    (78)   ~ (all_52_3 = e0)
% 170.91/26.09    (79)  op(e2, all_52_9) = all_58_6
% 170.91/26.09    (80)   ~ (e2 = e0)
% 170.91/26.09    (81)   ~ (all_52_14 = e0)
% 170.91/26.09    (82)   ~ (e1 = e0)
% 170.91/26.09    (83)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 170.91/26.09            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 170.91/26.09            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 170.91/26.09            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 170.91/26.09            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 170.91/26.09            (all_58_15 = e0))
% 170.91/26.09    (84)  all_56_0 = e3 | all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3
% 170.91/26.09    (85)  all_54_11 = all_52_14
% 170.91/26.09  
% 170.91/26.09  Begin of proof
% 170.91/26.09  | 
% 170.91/26.09  | GROUND_INST: instantiating (74) with all_52_14, all_58_8, e0, e1, simplifying
% 170.91/26.09  |              with (11), (13) gives:
% 170.91/26.09  |   (86)  all_58_8 = all_52_14
% 170.91/26.09  | 
% 170.91/26.09  | BETA: splitting (45) gives:
% 170.91/26.09  | 
% 170.91/26.09  | Case 1:
% 170.91/26.09  | | 
% 170.91/26.09  | |   (87)  all_56_4 = e0
% 170.91/26.09  | | 
% 170.91/26.09  | | REF_CLOSE: (2), (8), (15), (46), (48), (51), (54), (56), (57), (69), (72),
% 170.91/26.09  | |            (74), (77), (87) are inconsistent by sub-proof #125.
% 170.91/26.09  | | 
% 170.91/26.09  | Case 2:
% 170.91/26.09  | | 
% 170.91/26.09  | |   (88)   ~ (all_56_4 = e0)
% 170.91/26.09  | |   (89)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 170.91/26.09  | | 
% 170.91/26.09  | | REDUCE: (56), (88) imply:
% 170.91/26.09  | |   (90)   ~ (all_52_8 = e0)
% 170.91/26.09  | | 
% 170.91/26.09  | | BETA: splitting (62) gives:
% 170.91/26.09  | | 
% 170.91/26.09  | | Case 1:
% 170.91/26.09  | | | 
% 170.91/26.09  | | |   (91)  all_56_0 = e0
% 170.91/26.09  | | | 
% 170.91/26.09  | | | REF_CLOSE: (26), (52), (91) are inconsistent by sub-proof #939.
% 170.91/26.09  | | | 
% 170.91/26.09  | | Case 2:
% 170.91/26.09  | | | 
% 170.91/26.09  | | |   (92)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 170.91/26.09  | | | 
% 170.91/26.09  | | | BETA: splitting (92) gives:
% 170.91/26.09  | | | 
% 170.91/26.09  | | | Case 1:
% 170.91/26.09  | | | | 
% 170.91/26.09  | | | |   (93)  all_56_1 = e0
% 170.91/26.09  | | | | 
% 170.91/26.09  | | | | COMBINE_EQS: (1), (93) imply:
% 170.91/26.09  | | | |   (94)  all_52_4 = e0
% 170.91/26.09  | | | | 
% 170.91/26.09  | | | | COMBINE_EQS: (58), (94) imply:
% 170.91/26.09  | | | |   (95)  all_58_20 = e0
% 170.91/26.09  | | | | 
% 170.91/26.09  | | | | REDUCE: (36), (94) imply:
% 170.91/26.09  | | | |   (96)   ~ (all_52_7 = e0)
% 170.91/26.09  | | | | 
% 170.91/26.09  | | | | SIMP: (96) implies:
% 170.91/26.09  | | | |   (97)   ~ (all_52_7 = e0)
% 170.91/26.09  | | | | 
% 170.91/26.09  | | | | REDUCE: (68), (94) imply:
% 170.91/26.09  | | | |   (98)   ~ (all_52_12 = e0)
% 170.91/26.09  | | | | 
% 170.91/26.09  | | | | REDUCE: (47), (94) imply:
% 170.91/26.09  | | | |   (99)   ~ (all_6_2 = e0)
% 170.91/26.09  | | | | 
% 170.91/26.09  | | | | REDUCE: (16), (94) imply:
% 170.91/26.09  | | | |   (100)  op(e3, e0) = all_58_1
% 170.91/26.09  | | | | 
% 170.91/26.09  | | | | BETA: splitting (89) gives:
% 170.91/26.09  | | | | 
% 170.91/26.09  | | | | Case 1:
% 170.91/26.09  | | | | | 
% 170.91/26.09  | | | | |   (101)  all_56_5 = e0
% 170.91/26.09  | | | | | 
% 170.91/26.09  | | | | | COMBINE_EQS: (8), (101) imply:
% 170.91/26.09  | | | | |   (102)  all_52_9 = e0
% 170.91/26.09  | | | | | 
% 170.91/26.09  | | | | | COMBINE_EQS: (73), (102) imply:
% 170.91/26.09  | | | | |   (103)  all_58_25 = e0
% 170.91/26.09  | | | | | 
% 170.91/26.09  | | | | | REDUCE: (66), (102) imply:
% 170.91/26.09  | | | | |   (104)   ~ (all_52_11 = e0)
% 170.91/26.09  | | | | | 
% 170.91/26.09  | | | | | REDUCE: (17), (102) imply:
% 170.91/26.09  | | | | |   (105)   ~ (all_4_2 = e0)
% 170.91/26.09  | | | | | 
% 170.91/26.09  | | | | | SIMP: (105) implies:
% 170.91/26.09  | | | | |   (106)   ~ (all_4_2 = e0)
% 170.91/26.09  | | | | | 
% 170.91/26.09  | | | | | REDUCE: (79), (102) imply:
% 170.91/26.09  | | | | |   (107)  op(e2, e0) = all_58_6
% 170.91/26.09  | | | | | 
% 170.91/26.09  | | | | | GROUND_INST: instantiating (74) with all_52_13, all_58_6, e0, e2,
% 170.91/26.09  | | | | |              simplifying with (10), (107) gives:
% 170.91/26.09  | | | | |   (108)  all_58_6 = all_52_13
% 170.91/26.09  | | | | | 
% 170.91/26.09  | | | | | GROUND_INST: instantiating (74) with all_52_12, all_58_1, e0, e3,
% 170.91/26.09  | | | | |              simplifying with (50), (100) gives:
% 170.91/26.09  | | | | |   (109)  all_58_1 = all_52_12
% 170.91/26.09  | | | | | 
% 170.91/26.09  | | | | | BETA: splitting (3) gives:
% 170.91/26.09  | | | | | 
% 170.91/26.09  | | | | | Case 1:
% 170.91/26.09  | | | | | | 
% 170.91/26.09  | | | | | |   (110)  all_54_0 = e0
% 170.91/26.09  | | | | | | 
% 170.91/26.09  | | | | | | COMBINE_EQS: (70), (110) imply:
% 170.91/26.09  | | | | | |   (111)  all_6_2 = e0
% 170.91/26.09  | | | | | | 
% 170.91/26.09  | | | | | | REDUCE: (52), (111) imply:
% 170.91/26.09  | | | | | |   (112)  $false
% 170.91/26.09  | | | | | | 
% 170.91/26.09  | | | | | | CLOSE: (112) is inconsistent.
% 170.91/26.09  | | | | | | 
% 170.91/26.09  | | | | | Case 2:
% 170.91/26.09  | | | | | | 
% 170.91/26.09  | | | | | |   (113)   ~ (all_54_0 = e0)
% 170.91/26.09  | | | | | |   (114)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 170.91/26.09  | | | | | | 
% 170.91/26.09  | | | | | | BETA: splitting (19) gives:
% 170.91/26.09  | | | | | | 
% 170.91/26.09  | | | | | | Case 1:
% 170.91/26.09  | | | | | | | 
% 170.91/26.09  | | | | | | |   (115)  all_54_11 = e0
% 170.91/26.09  | | | | | | | 
% 170.91/26.09  | | | | | | | REF_CLOSE: (81), (85), (115) are inconsistent by sub-proof #558.
% 170.91/26.09  | | | | | | | 
% 170.91/26.09  | | | | | | Case 2:
% 170.91/26.09  | | | | | | | 
% 170.91/26.09  | | | | | | |   (116)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 170.91/26.09  | | | | | | | 
% 170.91/26.09  | | | | | | | BETA: splitting (59) gives:
% 170.91/26.09  | | | | | | | 
% 170.91/26.09  | | | | | | | Case 1:
% 170.91/26.09  | | | | | | | | 
% 170.91/26.09  | | | | | | | |   (117)  all_54_2 = e0
% 170.91/26.09  | | | | | | | | 
% 170.91/26.09  | | | | | | | | REF_CLOSE: (24), (90), (117) are inconsistent by sub-proof #763.
% 170.91/26.09  | | | | | | | | 
% 170.91/26.09  | | | | | | | Case 2:
% 170.91/26.09  | | | | | | | | 
% 170.91/26.09  | | | | | | | |   (118)   ~ (all_54_2 = e0)
% 170.91/26.09  | | | | | | | |   (119)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1
% 170.91/26.09  | | | | | | | | 
% 170.91/26.09  | | | | | | | | BETA: splitting (7) gives:
% 170.91/26.09  | | | | | | | | 
% 170.91/26.09  | | | | | | | | Case 1:
% 170.91/26.09  | | | | | | | | | 
% 170.91/26.09  | | | | | | | | |   (120)  all_58_19 = e0
% 170.91/26.09  | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | COMBINE_EQS: (32), (120) imply:
% 170.91/26.09  | | | | | | | | |   (121)  all_52_3 = e0
% 170.91/26.09  | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | REDUCE: (78), (121) imply:
% 170.91/26.09  | | | | | | | | |   (122)  $false
% 170.91/26.09  | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | CLOSE: (122) is inconsistent.
% 170.91/26.09  | | | | | | | | | 
% 170.91/26.09  | | | | | | | | Case 2:
% 170.91/26.09  | | | | | | | | | 
% 170.91/26.09  | | | | | | | | |   (123)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 170.91/26.09  | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | BETA: splitting (27) gives:
% 170.91/26.09  | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | Case 1:
% 170.91/26.09  | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | |   (124)  all_58_27 = e0
% 170.91/26.09  | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | REF_CLOSE: (28), (71), (124) are inconsistent by sub-proof
% 170.91/26.09  | | | | | | | | | |            #663.
% 170.91/26.09  | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | Case 2:
% 170.91/26.09  | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | |   (125)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 170.91/26.09  | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | BETA: splitting (60) gives:
% 170.91/26.09  | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | Case 1:
% 170.91/26.09  | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | |   (126)  all_58_23 = e0
% 170.91/26.09  | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | COMBINE_EQS: (6), (126) imply:
% 170.91/26.09  | | | | | | | | | | |   (127)  all_52_7 = e0
% 170.91/26.09  | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | REDUCE: (97), (127) imply:
% 170.91/26.09  | | | | | | | | | | |   (128)  $false
% 170.91/26.09  | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | CLOSE: (128) is inconsistent.
% 170.91/26.09  | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | Case 2:
% 170.91/26.09  | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | |   (129)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 170.91/26.09  | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | BETA: splitting (29) gives:
% 170.91/26.09  | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | Case 1:
% 170.91/26.09  | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | |   (130)  all_56_9 = e2
% 170.91/26.09  | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | COMBINE_EQS: (33), (130) imply:
% 170.91/26.09  | | | | | | | | | | | |   (131)  all_52_12 = e2
% 170.91/26.09  | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | SIMP: (131) implies:
% 170.91/26.09  | | | | | | | | | | | |   (132)  all_52_12 = e2
% 170.91/26.09  | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | REDUCE: (5), (132) imply:
% 170.91/26.09  | | | | | | | | | | | |   (133)   ~ (all_52_8 = e2)
% 170.91/26.09  | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | REDUCE: (9), (132) imply:
% 170.91/26.09  | | | | | | | | | | | |   (134)   ~ (all_6_2 = e2)
% 170.91/26.09  | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | SIMP: (134) implies:
% 170.91/26.09  | | | | | | | | | | | |   (135)   ~ (all_6_2 = e2)
% 170.91/26.09  | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | BETA: splitting (41) gives:
% 170.91/26.09  | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | Case 1:
% 170.91/26.09  | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | |   (136)  all_56_9 = e1
% 170.91/26.09  | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | REF_CLOSE: (37), (130), (136) are inconsistent by sub-proof
% 170.91/26.09  | | | | | | | | | | | | |            #417.
% 170.91/26.09  | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | Case 2:
% 170.91/26.09  | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | |   (137)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.91/26.09  | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | BETA: splitting (84) gives:
% 170.91/26.09  | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | Case 1:
% 170.91/26.09  | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | |   (138)  all_56_0 = e3
% 170.91/26.09  | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | COMBINE_EQS: (26), (138) imply:
% 170.91/26.09  | | | | | | | | | | | | | |   (139)  all_6_2 = e3
% 170.91/26.09  | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | SIMP: (139) implies:
% 170.91/26.09  | | | | | | | | | | | | | |   (140)  all_6_2 = e3
% 170.91/26.09  | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | REDUCE: (61), (140) imply:
% 170.91/26.09  | | | | | | | | | | | | | |   (141)   ~ (all_52_8 = e3)
% 170.91/26.09  | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | BETA: splitting (125) gives:
% 170.91/26.09  | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | Case 1:
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | |   (142)  all_58_26 = e1
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | COMBINE_EQS: (21), (142) imply:
% 170.91/26.09  | | | | | | | | | | | | | | |   (143)  all_10_2 = e1
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | SIMP: (143) implies:
% 170.91/26.09  | | | | | | | | | | | | | | |   (144)  all_10_2 = e1
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | REDUCE: (55), (144) imply:
% 170.91/26.09  | | | | | | | | | | | | | | |   (145)   ~ (all_52_8 = e1)
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | REF_CLOSE: (24), (119), (133), (141), (145) are inconsistent
% 170.91/26.09  | | | | | | | | | | | | | | |            by sub-proof #690.
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | Case 2:
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | |   (146)  all_58_24 = e3 | all_58_25 = e2
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | REF_CLOSE: (64), (80), (103), (141), (146) are inconsistent
% 170.91/26.09  | | | | | | | | | | | | | | |            by sub-proof #849.
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | End of split
% 170.91/26.09  | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | Case 2:
% 170.91/26.09  | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | |   (147)   ~ (all_56_0 = e3)
% 170.91/26.09  | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | REDUCE: (26), (147) imply:
% 170.91/26.09  | | | | | | | | | | | | | |   (148)   ~ (all_6_2 = e3)
% 170.91/26.09  | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | BETA: splitting (114) gives:
% 170.91/26.09  | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | Case 1:
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | |   (149)  all_54_0 = e1
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | COMBINE_EQS: (70), (149) imply:
% 170.91/26.09  | | | | | | | | | | | | | | |   (150)  all_6_2 = e1
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | SIMP: (150) implies:
% 170.91/26.09  | | | | | | | | | | | | | | |   (151)  all_6_2 = e1
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | COMBINE_EQS: (26), (151) imply:
% 170.91/26.09  | | | | | | | | | | | | | | |   (152)  all_56_0 = e1
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | COMBINE_EQS: (43), (151) imply:
% 170.91/26.09  | | | | | | | | | | | | | | |   (153)  all_58_16 = e1
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | REDUCE: (23), (151) imply:
% 170.91/26.09  | | | | | | | | | | | | | | |   (154)   ~ (all_52_1 = e1)
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | REDUCE: (61), (151) imply:
% 170.91/26.09  | | | | | | | | | | | | | | |   (155)   ~ (all_52_8 = e1)
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | REDUCE: (148), (151) imply:
% 170.91/26.09  | | | | | | | | | | | | | | |   (156)   ~ (e3 = e1)
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | SIMP: (156) implies:
% 170.91/26.09  | | | | | | | | | | | | | | |   (157)   ~ (e3 = e1)
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | BETA: splitting (123) gives:
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | Case 1:
% 170.91/26.09  | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | |   (158)  all_58_18 = e1
% 170.91/26.09  | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | REF_CLOSE: (22), (82), (158) are inconsistent by sub-proof
% 170.91/26.09  | | | | | | | | | | | | | | | |            #888.
% 170.91/26.09  | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | Case 2:
% 170.91/26.09  | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | |   (159)  all_58_16 = e3 | all_58_17 = e2
% 170.91/26.09  | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 170.91/26.09  | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | Case 1:
% 170.91/26.09  | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | |   (160)  all_58_17 = e2
% 170.91/26.09  | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | COMBINE_EQS: (30), (160) imply:
% 170.91/26.09  | | | | | | | | | | | | | | | | |   (161)  all_52_1 = e2
% 170.91/26.09  | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | SIMP: (161) implies:
% 170.91/26.09  | | | | | | | | | | | | | | | | |   (162)  all_52_1 = e2
% 170.91/26.09  | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | REDUCE: (40), (162) imply:
% 170.91/26.09  | | | | | | | | | | | | | | | | |   (163)   ~ (all_4_2 = e2)
% 170.91/26.09  | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | SIMP: (163) implies:
% 170.91/26.09  | | | | | | | | | | | | | | | | |   (164)   ~ (all_4_2 = e2)
% 170.91/26.09  | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | BETA: splitting (129) gives:
% 170.91/26.09  | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | Case 1:
% 170.91/26.09  | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | |   (165)  all_58_22 = e1
% 170.91/26.09  | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (67), (165) imply:
% 170.91/26.09  | | | | | | | | | | | | | | | | | |   (166)  all_52_6 = e1
% 170.91/26.09  | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | REDUCE: (53), (166) imply:
% 170.91/26.09  | | | | | | | | | | | | | | | | | |   (167)   ~ (all_52_14 = e1)
% 170.91/26.09  | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | SIMP: (167) implies:
% 170.91/26.09  | | | | | | | | | | | | | | | | | |   (168)   ~ (all_52_14 = e1)
% 170.91/26.09  | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | REDUCE: (38), (166) imply:
% 170.91/26.09  | | | | | | | | | | | | | | | | | |   (169)   ~ (all_10_2 = e1)
% 170.91/26.09  | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | SIMP: (169) implies:
% 170.91/26.09  | | | | | | | | | | | | | | | | | |   (170)   ~ (all_10_2 = e1)
% 170.91/26.09  | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (14), (21), (25), (29), (33), (35), (37),
% 170.91/26.09  | | | | | | | | | | | | | | | | | |            (39), (42), (56), (64), (65), (75), (77), (80),
% 170.91/26.09  | | | | | | | | | | | | | | | | | |            (83), (85), (86), (93), (103), (108), (109),
% 170.91/26.09  | | | | | | | | | | | | | | | | | |            (116), (125), (137), (152), (153), (155), (157),
% 170.91/26.09  | | | | | | | | | | | | | | | | | |            (159), (160), (168), (170) are inconsistent by
% 170.91/26.09  | | | | | | | | | | | | | | | | | |            sub-proof #124.
% 170.91/26.09  | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | Case 2:
% 170.91/26.09  | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | |   (171)  all_58_20 = e3 | all_58_21 = e2
% 170.91/26.09  | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (76), (95), (164), (171) are inconsistent by
% 170.91/26.09  | | | | | | | | | | | | | | | | | |            sub-proof #974.
% 170.91/26.09  | | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | End of split
% 170.91/26.09  | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | Case 2:
% 170.91/26.09  | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | |   (172)  all_58_16 = e3
% 170.91/26.09  | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | | REF_CLOSE: (153), (157), (172) are inconsistent by sub-proof
% 170.91/26.09  | | | | | | | | | | | | | | | | |            #970.
% 170.91/26.09  | | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | | End of split
% 170.91/26.09  | | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | End of split
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | Case 2:
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | |   (173)  all_54_0 = e3 | all_54_0 = e2
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | | REF_CLOSE: (70), (135), (148), (173) are inconsistent by
% 170.91/26.09  | | | | | | | | | | | | | | |            sub-proof #843.
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | End of split
% 170.91/26.09  | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | End of split
% 170.91/26.09  | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | End of split
% 170.91/26.09  | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | Case 2:
% 170.91/26.09  | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | |   (174)   ~ (all_56_9 = e2)
% 170.91/26.09  | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | REDUCE: (33), (174) imply:
% 170.91/26.09  | | | | | | | | | | | |   (175)   ~ (all_52_12 = e2)
% 170.91/26.09  | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | BETA: splitting (39) gives:
% 170.91/26.09  | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | Case 1:
% 170.91/26.09  | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | |   (176)  all_56_0 = e2
% 170.91/26.09  | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | COMBINE_EQS: (26), (176) imply:
% 170.91/26.09  | | | | | | | | | | | | |   (177)  all_6_2 = e2
% 170.91/26.09  | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | SIMP: (177) implies:
% 170.91/26.09  | | | | | | | | | | | | |   (178)  all_6_2 = e2
% 170.91/26.09  | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | COMBINE_EQS: (43), (178) imply:
% 170.91/26.09  | | | | | | | | | | | | |   (179)  all_58_16 = e2
% 170.91/26.09  | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | REDUCE: (23), (178) imply:
% 170.91/26.09  | | | | | | | | | | | | |   (180)   ~ (all_52_1 = e2)
% 170.91/26.09  | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | REF_CLOSE: (22), (30), (35), (82), (123), (179), (180) are
% 170.91/26.09  | | | | | | | | | | | | |            inconsistent by sub-proof #963.
% 170.91/26.09  | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | Case 2:
% 170.91/26.09  | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | |   (181)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 170.91/26.09  | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | BETA: splitting (181) gives:
% 170.91/26.09  | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | Case 1:
% 170.91/26.09  | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | |   (182)  all_56_1 = e2
% 170.91/26.09  | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | COMBINE_EQS: (93), (182) imply:
% 170.91/26.09  | | | | | | | | | | | | | |   (183)  e2 = e0
% 170.91/26.09  | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | REDUCE: (80), (183) imply:
% 170.91/26.09  | | | | | | | | | | | | | |   (184)  $false
% 170.91/26.09  | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | CLOSE: (184) is inconsistent.
% 170.91/26.09  | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | Case 2:
% 170.91/26.09  | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | |   (185)  all_56_4 = e2 | all_56_9 = e2
% 170.91/26.09  | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 170.91/26.09  | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | Case 1:
% 170.91/26.09  | | | | | | | | | | | | | | | 
% 170.91/26.09  | | | | | | | | | | | | | | |   (186)  all_56_4 = e2
% 170.91/26.10  | | | | | | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | | | | | | COMBINE_EQS: (56), (186) imply:
% 170.91/26.10  | | | | | | | | | | | | | | |   (187)  all_52_8 = e2
% 170.91/26.10  | | | | | | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | | | | | | COMBINE_EQS: (64), (187) imply:
% 170.91/26.10  | | | | | | | | | | | | | | |   (188)  all_58_24 = e2
% 170.91/26.10  | | | | | | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | | | | | | BETA: splitting (125) gives:
% 170.91/26.10  | | | | | | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | | | | | | Case 1:
% 170.91/26.10  | | | | | | | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | | | | | | |   (189)  all_58_26 = e1
% 170.91/26.10  | | | | | | | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | | | | | | | COMBINE_EQS: (21), (189) imply:
% 170.91/26.10  | | | | | | | | | | | | | | | |   (190)  all_10_2 = e1
% 170.91/26.10  | | | | | | | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | | | | | | | SIMP: (190) implies:
% 170.91/26.10  | | | | | | | | | | | | | | | |   (191)  all_10_2 = e1
% 170.91/26.10  | | | | | | | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | | | | | | | REDUCE: (38), (191) imply:
% 170.91/26.10  | | | | | | | | | | | | | | | |   (192)   ~ (all_52_6 = e1)
% 170.91/26.10  | | | | | | | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | | | | | | | REF_CLOSE: (2), (31), (34), (49), (67), (74), (76), (95),
% 170.91/26.10  | | | | | | | | | | | | | | | |            (106), (129), (192) are inconsistent by sub-proof
% 170.91/26.10  | | | | | | | | | | | | | | | |            #122.
% 170.91/26.10  | | | | | | | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | | | | | | Case 2:
% 170.91/26.10  | | | | | | | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | | | | | | |   (193)  all_58_24 = e3 | all_58_25 = e2
% 170.91/26.10  | | | | | | | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | | | | | | | REF_CLOSE: (35), (80), (103), (188), (193) are inconsistent
% 170.91/26.10  | | | | | | | | | | | | | | | |            by sub-proof #947.
% 170.91/26.10  | | | | | | | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | | | | | | End of split
% 170.91/26.10  | | | | | | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | | | | | Case 2:
% 170.91/26.10  | | | | | | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | | | | | |   (194)  all_56_9 = e2
% 170.91/26.10  | | | | | | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | | | | | | REF_CLOSE: (33), (175), (194) are inconsistent by sub-proof
% 170.91/26.10  | | | | | | | | | | | | | | |            #322.
% 170.91/26.10  | | | | | | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | | | | | End of split
% 170.91/26.10  | | | | | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | | | | End of split
% 170.91/26.10  | | | | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | | | End of split
% 170.91/26.10  | | | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | | End of split
% 170.91/26.10  | | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | End of split
% 170.91/26.10  | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | End of split
% 170.91/26.10  | | | | | | | | | 
% 170.91/26.10  | | | | | | | | End of split
% 170.91/26.10  | | | | | | | | 
% 170.91/26.10  | | | | | | | End of split
% 170.91/26.10  | | | | | | | 
% 170.91/26.10  | | | | | | End of split
% 170.91/26.10  | | | | | | 
% 170.91/26.10  | | | | | End of split
% 170.91/26.10  | | | | | 
% 170.91/26.10  | | | | Case 2:
% 170.91/26.10  | | | | | 
% 170.91/26.10  | | | | |   (195)  all_56_8 = e0 | all_56_14 = e0
% 170.91/26.10  | | | | | 
% 170.91/26.10  | | | | | REF_CLOSE: (4), (18), (20), (71), (195) are inconsistent by sub-proof
% 170.91/26.10  | | | | |            #914.
% 170.91/26.10  | | | | | 
% 170.91/26.10  | | | | End of split
% 170.91/26.10  | | | | 
% 170.91/26.10  | | | Case 2:
% 170.91/26.10  | | | | 
% 170.91/26.10  | | | |   (196)  all_56_4 = e0 | all_56_9 = e0
% 170.91/26.10  | | | | 
% 170.91/26.10  | | | | REF_CLOSE: (33), (44), (56), (90), (196) are inconsistent by sub-proof
% 170.91/26.10  | | | |            #563.
% 170.91/26.10  | | | | 
% 170.91/26.10  | | | End of split
% 170.91/26.10  | | | 
% 170.91/26.10  | | End of split
% 170.91/26.10  | | 
% 170.91/26.10  | End of split
% 170.91/26.10  | 
% 170.91/26.10  End of proof
% 170.91/26.10  
% 170.91/26.10  Sub-proof #122 shows that the following formulas are inconsistent:
% 170.91/26.10  ----------------------------------------------------------------
% 170.91/26.10    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 170.91/26.10    (2)  op(all_4_2, e2) = e0
% 170.91/26.10    (3)   ~ (all_52_6 = e1)
% 170.91/26.10    (4)  op(e2, all_4_2) = all_58_5
% 170.91/26.10    (5)  all_58_20 = e0
% 170.91/26.10    (6)  op(e2, e2) = all_4_2
% 170.91/26.10    (7)   ~ (e3 = e0)
% 170.91/26.10    (8)   ~ (all_4_2 = e0)
% 170.91/26.10    (9)  all_58_22 = all_52_6
% 170.91/26.10    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.91/26.10            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.91/26.10    (11)  all_58_21 = all_4_2
% 170.91/26.10  
% 170.91/26.10  Begin of proof
% 170.91/26.10  | 
% 170.91/26.10  | BETA: splitting (1) gives:
% 170.91/26.10  | 
% 170.91/26.10  | Case 1:
% 170.91/26.10  | | 
% 170.91/26.10  | |   (12)  all_58_22 = e1
% 170.91/26.10  | | 
% 170.91/26.10  | | COMBINE_EQS: (9), (12) imply:
% 170.91/26.10  | |   (13)  all_52_6 = e1
% 170.91/26.10  | | 
% 170.91/26.10  | | REDUCE: (3), (13) imply:
% 170.91/26.10  | |   (14)  $false
% 170.91/26.10  | | 
% 170.91/26.10  | | CLOSE: (14) is inconsistent.
% 170.91/26.10  | | 
% 170.91/26.10  | Case 2:
% 170.91/26.10  | | 
% 170.91/26.10  | |   (15)  all_58_20 = e3 | all_58_21 = e2
% 170.91/26.10  | | 
% 170.91/26.10  | | BETA: splitting (15) gives:
% 170.91/26.10  | | 
% 170.91/26.10  | | Case 1:
% 170.91/26.10  | | | 
% 170.91/26.10  | | |   (16)  all_58_21 = e2
% 170.91/26.10  | | | 
% 170.91/26.10  | | | REF_CLOSE: (2), (4), (6), (8), (10), (11), (16) are inconsistent by
% 170.91/26.10  | | |            sub-proof #123.
% 170.91/26.10  | | | 
% 170.91/26.10  | | Case 2:
% 170.91/26.10  | | | 
% 170.91/26.10  | | |   (17)  all_58_20 = e3
% 170.91/26.10  | | | 
% 170.91/26.10  | | | REF_CLOSE: (5), (7), (17) are inconsistent by sub-proof #948.
% 170.91/26.10  | | | 
% 170.91/26.10  | | End of split
% 170.91/26.10  | | 
% 170.91/26.10  | End of split
% 170.91/26.10  | 
% 170.91/26.10  End of proof
% 170.91/26.10  
% 170.91/26.10  Sub-proof #123 shows that the following formulas are inconsistent:
% 170.91/26.10  ----------------------------------------------------------------
% 170.91/26.10    (1)  op(all_4_2, e2) = e0
% 170.91/26.10    (2)  op(e2, all_4_2) = all_58_5
% 170.91/26.10    (3)  op(e2, e2) = all_4_2
% 170.91/26.10    (4)  all_58_21 = e2
% 170.91/26.10    (5)   ~ (all_4_2 = e0)
% 170.91/26.10    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.91/26.10           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.91/26.10    (7)  all_58_21 = all_4_2
% 170.91/26.10  
% 170.91/26.10  Begin of proof
% 170.91/26.10  | 
% 170.91/26.10  | COMBINE_EQS: (4), (7) imply:
% 170.91/26.10  |   (8)  all_4_2 = e2
% 170.91/26.10  | 
% 170.91/26.10  | REDUCE: (5), (8) imply:
% 170.91/26.10  |   (9)   ~ (e2 = e0)
% 170.91/26.10  | 
% 170.91/26.10  | REDUCE: (1), (8) imply:
% 170.91/26.10  |   (10)  op(e2, e2) = e0
% 170.91/26.10  | 
% 170.91/26.10  | REDUCE: (2), (8) imply:
% 170.91/26.10  |   (11)  op(e2, e2) = all_58_5
% 170.91/26.10  | 
% 170.91/26.10  | REDUCE: (3), (8) imply:
% 170.91/26.10  |   (12)  op(e2, e2) = e2
% 170.91/26.10  | 
% 170.91/26.10  | GROUND_INST: instantiating (6) with e2, all_58_5, e2, e2, simplifying with
% 170.91/26.10  |              (11), (12) gives:
% 170.91/26.10  |   (13)  all_58_5 = e2
% 170.91/26.10  | 
% 170.91/26.10  | GROUND_INST: instantiating (6) with e0, all_58_5, e2, e2, simplifying with
% 170.91/26.10  |              (10), (11) gives:
% 170.91/26.10  |   (14)  all_58_5 = e0
% 170.91/26.10  | 
% 170.91/26.10  | COMBINE_EQS: (13), (14) imply:
% 170.91/26.10  |   (15)  e2 = e0
% 170.91/26.10  | 
% 170.91/26.10  | REDUCE: (9), (15) imply:
% 170.91/26.10  |   (16)  $false
% 170.91/26.10  | 
% 170.91/26.10  | CLOSE: (16) is inconsistent.
% 170.91/26.10  | 
% 170.91/26.10  End of proof
% 170.91/26.10  
% 170.91/26.10  Sub-proof #124 shows that the following formulas are inconsistent:
% 170.91/26.10  ----------------------------------------------------------------
% 170.91/26.10    (1)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 170.91/26.10    (2)   ~ (all_52_8 = e1)
% 170.91/26.10    (3)   ~ (e3 = e1)
% 170.91/26.10    (4)   ~ (all_14_2 = e1)
% 170.91/26.10    (5)  all_56_15 = all_14_2
% 170.91/26.10    (6)  all_56_0 = e1
% 170.91/26.10    (7)  all_58_26 = all_10_2
% 170.91/26.10    (8)  all_58_25 = e0
% 170.91/26.10    (9)  all_56_11 = all_52_14
% 170.91/26.10    (10)  all_58_8 = all_52_14
% 170.91/26.10    (11)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 170.91/26.10    (12)  all_56_9 = all_52_12
% 170.91/26.10    (13)   ~ (all_10_2 = e1)
% 170.91/26.10    (14)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 170.91/26.10    (15)   ~ (e3 = e2)
% 170.91/26.10    (16)   ~ (e2 = e1)
% 170.91/26.10    (17)  all_58_16 = e1
% 170.91/26.10    (18)  all_56_1 = e0
% 170.91/26.10    (19)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 170.91/26.10    (20)   ~ (all_52_14 = e1)
% 170.91/26.10    (21)   ~ (all_52_13 = all_52_14)
% 170.91/26.10    (22)  all_56_4 = all_52_8
% 170.91/26.10    (23)  all_58_17 = e2
% 170.91/26.10    (24)  all_58_24 = all_52_8
% 170.91/26.10    (25)   ~ (all_52_12 = all_52_14)
% 170.91/26.10    (26)  all_58_1 = all_52_12
% 170.91/26.10    (27)  all_58_15 = e0
% 170.91/26.10    (28)  all_58_16 = e3 | all_58_17 = e2
% 170.91/26.10    (29)  all_56_10 = all_52_13
% 170.91/26.10    (30)  all_58_6 = all_52_13
% 170.91/26.10    (31)   ~ (e2 = e0)
% 170.91/26.10    (32)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 170.91/26.10            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 170.91/26.10            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 170.91/26.10            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 170.91/26.10            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 170.91/26.10            (all_58_15 = e0))
% 170.91/26.10    (33)  all_54_11 = all_52_14
% 170.91/26.10    (34)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 170.91/26.10  
% 170.91/26.10  Begin of proof
% 170.91/26.10  | 
% 170.91/26.10  | BETA: splitting (14) gives:
% 170.91/26.10  | 
% 170.91/26.10  | Case 1:
% 170.91/26.10  | | 
% 170.91/26.10  | |   (35)  all_58_26 = e1
% 170.91/26.10  | | 
% 170.91/26.10  | | COMBINE_EQS: (7), (35) imply:
% 170.91/26.10  | |   (36)  all_10_2 = e1
% 170.91/26.10  | | 
% 170.91/26.10  | | REDUCE: (13), (36) imply:
% 170.91/26.10  | |   (37)  $false
% 170.91/26.10  | | 
% 170.91/26.10  | | CLOSE: (37) is inconsistent.
% 170.91/26.10  | | 
% 170.91/26.10  | Case 2:
% 170.91/26.10  | | 
% 170.91/26.10  | |   (38)  all_58_24 = e3 | all_58_25 = e2
% 170.91/26.10  | | 
% 170.91/26.10  | | BETA: splitting (38) gives:
% 170.91/26.10  | | 
% 170.91/26.10  | | Case 1:
% 170.91/26.10  | | | 
% 170.91/26.10  | | |   (39)  all_58_25 = e2
% 170.91/26.10  | | | 
% 170.91/26.10  | | | COMBINE_EQS: (8), (39) imply:
% 170.91/26.10  | | |   (40)  e2 = e0
% 170.91/26.10  | | | 
% 170.91/26.10  | | | REF_CLOSE: (3), (17), (23), (28), (31), (40) are inconsistent by sub-proof
% 170.91/26.10  | | |            #979.
% 170.91/26.10  | | | 
% 170.91/26.10  | | Case 2:
% 170.91/26.10  | | | 
% 170.91/26.10  | | |   (41)  all_58_24 = e3
% 170.91/26.10  | | |   (42)   ~ (all_58_25 = e2)
% 170.91/26.10  | | | 
% 170.91/26.10  | | | COMBINE_EQS: (24), (41) imply:
% 170.91/26.10  | | |   (43)  all_52_8 = e3
% 170.91/26.10  | | | 
% 170.91/26.10  | | | COMBINE_EQS: (22), (43) imply:
% 170.91/26.10  | | |   (44)  all_56_4 = e3
% 170.91/26.10  | | | 
% 170.91/26.10  | | | REDUCE: (8), (42) imply:
% 170.91/26.10  | | |   (45)   ~ (e2 = e0)
% 170.91/26.10  | | | 
% 170.91/26.10  | | | BETA: splitting (19) gives:
% 170.91/26.10  | | | 
% 170.91/26.10  | | | Case 1:
% 170.91/26.10  | | | | 
% 170.91/26.10  | | | |   (46)  all_56_0 = e2
% 170.91/26.10  | | | | 
% 170.91/26.10  | | | | COMBINE_EQS: (6), (46) imply:
% 170.91/26.10  | | | |   (47)  e2 = e1
% 170.91/26.10  | | | | 
% 170.91/26.10  | | | | REDUCE: (16), (47) imply:
% 170.91/26.10  | | | |   (48)  $false
% 170.91/26.10  | | | | 
% 170.91/26.10  | | | | CLOSE: (48) is inconsistent.
% 170.91/26.10  | | | | 
% 170.91/26.10  | | | Case 2:
% 170.91/26.10  | | | | 
% 170.91/26.10  | | | |   (49)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 170.91/26.10  | | | | 
% 170.91/26.10  | | | | BETA: splitting (49) gives:
% 170.91/26.10  | | | | 
% 170.91/26.10  | | | | Case 1:
% 170.91/26.10  | | | | | 
% 170.91/26.10  | | | | |   (50)  all_56_1 = e2
% 170.91/26.10  | | | | | 
% 170.91/26.10  | | | | | REF_CLOSE: (3), (17), (18), (23), (28), (31), (50) are inconsistent by
% 170.91/26.10  | | | | |            sub-proof #462.
% 170.91/26.10  | | | | | 
% 170.91/26.10  | | | | Case 2:
% 170.91/26.10  | | | | | 
% 170.91/26.10  | | | | |   (51)  all_56_4 = e2 | all_56_9 = e2
% 170.91/26.10  | | | | | 
% 170.91/26.10  | | | | | BETA: splitting (1) gives:
% 170.91/26.10  | | | | | 
% 170.91/26.10  | | | | | Case 1:
% 170.91/26.10  | | | | | | 
% 170.91/26.10  | | | | | |   (52)  all_56_10 = e1
% 170.91/26.10  | | | | | | 
% 170.91/26.10  | | | | | | COMBINE_EQS: (29), (52) imply:
% 170.91/26.10  | | | | | |   (53)  all_52_13 = e1
% 170.91/26.10  | | | | | | 
% 170.91/26.10  | | | | | | COMBINE_EQS: (30), (53) imply:
% 170.91/26.10  | | | | | |   (54)  all_58_6 = e1
% 170.91/26.10  | | | | | | 
% 170.91/26.10  | | | | | | REDUCE: (21), (53) imply:
% 170.91/26.10  | | | | | |   (55)   ~ (all_52_14 = e1)
% 170.91/26.10  | | | | | | 
% 170.91/26.10  | | | | | | BETA: splitting (11) gives:
% 170.91/26.10  | | | | | | 
% 170.91/26.10  | | | | | | Case 1:
% 170.91/26.10  | | | | | | | 
% 170.91/26.10  | | | | | | |   (56)  all_56_9 = e2
% 170.91/26.10  | | | | | | | 
% 170.91/26.10  | | | | | | | COMBINE_EQS: (12), (56) imply:
% 170.91/26.10  | | | | | | |   (57)  all_52_12 = e2
% 170.91/26.10  | | | | | | | 
% 170.91/26.10  | | | | | | | COMBINE_EQS: (26), (57) imply:
% 170.91/26.10  | | | | | | |   (58)  all_58_1 = e2
% 170.91/26.10  | | | | | | | 
% 170.91/26.10  | | | | | | | REDUCE: (25), (57) imply:
% 170.91/26.10  | | | | | | |   (59)   ~ (all_52_14 = e2)
% 170.91/26.10  | | | | | | | 
% 170.91/26.10  | | | | | | | SIMP: (59) implies:
% 170.91/26.10  | | | | | | |   (60)   ~ (all_52_14 = e2)
% 170.91/26.10  | | | | | | | 
% 170.91/26.10  | | | | | | | BETA: splitting (34) gives:
% 170.91/26.10  | | | | | | | 
% 170.91/26.10  | | | | | | | Case 1:
% 170.91/26.10  | | | | | | | | 
% 170.91/26.10  | | | | | | | |   (61)  all_54_11 = e1
% 170.91/26.10  | | | | | | | | 
% 170.91/26.10  | | | | | | | | REF_CLOSE: (20), (33), (61) are inconsistent by sub-proof #929.
% 170.91/26.10  | | | | | | | | 
% 170.91/26.10  | | | | | | | Case 2:
% 170.91/26.10  | | | | | | | | 
% 170.91/26.10  | | | | | | | |   (62)  all_54_11 = e3 | all_54_11 = e2
% 170.91/26.10  | | | | | | | | 
% 170.91/26.10  | | | | | | | | BETA: splitting (32) gives:
% 170.91/26.10  | | | | | | | | 
% 170.91/26.10  | | | | | | | | Case 1:
% 170.91/26.10  | | | | | | | | | 
% 170.91/26.10  | | | | | | | | |   (63)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~
% 170.91/26.10  | | | | | | | | |           (all_58_2 = e1) &  ~ (all_58_3 = e0)) | ( ~
% 170.91/26.10  | | | | | | | | |           (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~ (all_58_6
% 170.91/26.10  | | | | | | | | |             = e1) &  ~ (all_58_7 = e0))
% 170.91/26.10  | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | BETA: splitting (63) gives:
% 170.91/26.10  | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | Case 1:
% 170.91/26.10  | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | |   (64)   ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~
% 170.91/26.10  | | | | | | | | | |         (all_58_2 = e1) &  ~ (all_58_3 = e0)
% 170.91/26.10  | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | ALPHA: (64) implies:
% 170.91/26.10  | | | | | | | | | |   (65)   ~ (all_58_1 = e2)
% 170.91/26.10  | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | REDUCE: (58), (65) imply:
% 170.91/26.10  | | | | | | | | | |   (66)  $false
% 170.91/26.10  | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | CLOSE: (66) is inconsistent.
% 170.91/26.10  | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | Case 2:
% 170.91/26.10  | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | |   (67)   ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 170.91/26.10  | | | | | | | | | |         (all_58_6 = e1) &  ~ (all_58_7 = e0)
% 170.91/26.10  | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | ALPHA: (67) implies:
% 170.91/26.10  | | | | | | | | | |   (68)   ~ (all_58_6 = e1)
% 170.91/26.10  | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | REDUCE: (54), (68) imply:
% 170.91/26.10  | | | | | | | | | |   (69)  $false
% 170.91/26.10  | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | CLOSE: (69) is inconsistent.
% 170.91/26.10  | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | End of split
% 170.91/26.10  | | | | | | | | | 
% 170.91/26.10  | | | | | | | | Case 2:
% 170.91/26.10  | | | | | | | | | 
% 170.91/26.10  | | | | | | | | |   (70)  ( ~ (all_58_8 = e3) &  ~ (all_58_9 = e2) &  ~
% 170.91/26.10  | | | | | | | | |           (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 170.91/26.10  | | | | | | | | |           (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~
% 170.91/26.10  | | | | | | | | |           (all_58_14 = e1) &  ~ (all_58_15 = e0))
% 170.91/26.10  | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | BETA: splitting (70) gives:
% 170.91/26.10  | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | Case 1:
% 170.91/26.10  | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | |   (71)   ~ (all_58_8 = e3) &  ~ (all_58_9 = e2) &  ~
% 170.91/26.10  | | | | | | | | | |         (all_58_10 = e1) &  ~ (all_58_11 = e0)
% 170.91/26.10  | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | ALPHA: (71) implies:
% 170.91/26.10  | | | | | | | | | |   (72)   ~ (all_58_8 = e3)
% 170.91/26.10  | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | REDUCE: (10), (72) imply:
% 170.91/26.10  | | | | | | | | | |   (73)   ~ (all_52_14 = e3)
% 170.91/26.10  | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | REF_CLOSE: (33), (60), (62), (73) are inconsistent by
% 170.91/26.10  | | | | | | | | | |            sub-proof #354.
% 170.91/26.10  | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | Case 2:
% 170.91/26.10  | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | |   (74)   ~ (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~
% 170.91/26.10  | | | | | | | | | |         (all_58_14 = e1) &  ~ (all_58_15 = e0)
% 170.91/26.10  | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | ALPHA: (74) implies:
% 170.91/26.10  | | | | | | | | | |   (75)   ~ (all_58_15 = e0)
% 170.91/26.10  | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | REDUCE: (27), (75) imply:
% 170.91/26.10  | | | | | | | | | |   (76)  $false
% 170.91/26.10  | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | | CLOSE: (76) is inconsistent.
% 170.91/26.10  | | | | | | | | | | 
% 170.91/26.10  | | | | | | | | | End of split
% 170.91/26.10  | | | | | | | | | 
% 170.91/26.10  | | | | | | | | End of split
% 170.91/26.10  | | | | | | | | 
% 170.91/26.10  | | | | | | | End of split
% 170.91/26.10  | | | | | | | 
% 170.91/26.10  | | | | | | Case 2:
% 170.91/26.10  | | | | | | | 
% 170.91/26.10  | | | | | | |   (77)   ~ (all_56_9 = e2)
% 170.91/26.10  | | | | | | | 
% 170.91/26.10  | | | | | | | REF_CLOSE: (12), (15), (44), (51), (77) are inconsistent by
% 170.91/26.10  | | | | | | |            sub-proof #274.
% 170.91/26.10  | | | | | | | 
% 170.91/26.10  | | | | | | End of split
% 170.91/26.10  | | | | | | 
% 170.91/26.10  | | | | | Case 2:
% 170.91/26.10  | | | | | | 
% 170.91/26.10  | | | | | |   (78)  all_56_11 = e1 | all_56_15 = e1
% 170.91/26.10  | | | | | | 
% 170.91/26.10  | | | | | | REF_CLOSE: (4), (5), (9), (20), (78) are inconsistent by sub-proof
% 170.91/26.10  | | | | | |            #231.
% 170.91/26.10  | | | | | | 
% 170.91/26.10  | | | | | End of split
% 170.91/26.10  | | | | | 
% 170.91/26.10  | | | | End of split
% 170.91/26.10  | | | | 
% 170.91/26.10  | | | End of split
% 170.91/26.10  | | | 
% 170.91/26.10  | | End of split
% 170.91/26.10  | | 
% 170.91/26.10  | End of split
% 170.91/26.10  | 
% 170.91/26.10  End of proof
% 170.91/26.10  
% 170.91/26.10  Sub-proof #125 shows that the following formulas are inconsistent:
% 170.91/26.10  ----------------------------------------------------------------
% 170.91/26.10    (1)  op(all_4_2, e2) = e0
% 170.91/26.10    (2)  all_56_5 = all_52_9
% 170.91/26.10    (3)  op(e0, e2) = all_52_7
% 170.91/26.10    (4)  all_56_4 = e0
% 170.91/26.10    (5)   ~ (all_52_8 = all_52_9)
% 170.91/26.10    (6)  all_56_2 = all_52_1
% 170.91/26.10    (7)   ~ (all_52_13 = e0)
% 170.91/26.10    (8)   ~ (all_52_7 = all_4_2)
% 170.91/26.10    (9)  all_56_4 = all_52_8
% 170.91/26.10    (10)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.91/26.10    (11)  all_56_3 = all_4_2
% 170.91/26.10    (12)   ~ (all_52_1 = e0)
% 170.91/26.10    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.91/26.10            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.91/26.10    (14)  all_56_10 = all_52_13
% 170.91/26.10  
% 170.91/26.10  Begin of proof
% 170.91/26.10  | 
% 170.91/26.10  | COMBINE_EQS: (4), (9) imply:
% 170.91/26.10  |   (15)  all_52_8 = e0
% 170.91/26.10  | 
% 170.91/26.10  | REDUCE: (5), (15) imply:
% 170.91/26.10  |   (16)   ~ (all_52_9 = e0)
% 170.91/26.10  | 
% 170.91/26.10  | SIMP: (16) implies:
% 170.91/26.10  |   (17)   ~ (all_52_9 = e0)
% 170.91/26.10  | 
% 170.91/26.10  | REF_CLOSE: (1), (2), (3), (6), (7), (8), (10), (11), (12), (13), (14), (17)
% 170.91/26.10  |            are inconsistent by sub-proof #126.
% 170.91/26.10  | 
% 170.91/26.10  End of proof
% 170.91/26.10  
% 170.91/26.10  Sub-proof #126 shows that the following formulas are inconsistent:
% 170.91/26.10  ----------------------------------------------------------------
% 170.91/26.10    (1)  op(all_4_2, e2) = e0
% 170.91/26.10    (2)  all_56_5 = all_52_9
% 170.91/26.10    (3)  op(e0, e2) = all_52_7
% 170.91/26.10    (4)   ~ (all_52_9 = e0)
% 170.91/26.10    (5)  all_56_2 = all_52_1
% 170.91/26.10    (6)   ~ (all_52_13 = e0)
% 170.91/26.10    (7)   ~ (all_52_7 = all_4_2)
% 170.91/26.10    (8)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.91/26.10    (9)  all_56_3 = all_4_2
% 170.91/26.10    (10)   ~ (all_52_1 = e0)
% 170.91/26.10    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.91/26.10            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.91/26.10    (12)  all_56_10 = all_52_13
% 170.91/26.10  
% 170.91/26.10  Begin of proof
% 170.91/26.10  | 
% 170.91/26.10  | BETA: splitting (8) gives:
% 170.91/26.10  | 
% 170.91/26.10  | Case 1:
% 170.91/26.10  | | 
% 170.91/26.10  | |   (13)  all_56_2 = e0
% 170.91/26.10  | | 
% 170.91/26.10  | | COMBINE_EQS: (5), (13) imply:
% 170.91/26.10  | |   (14)  all_52_1 = e0
% 170.91/26.10  | | 
% 170.91/26.10  | | REDUCE: (10), (14) imply:
% 170.91/26.10  | |   (15)  $false
% 170.91/26.10  | | 
% 170.91/26.10  | | CLOSE: (15) is inconsistent.
% 170.91/26.10  | | 
% 170.91/26.10  | Case 2:
% 170.91/26.10  | | 
% 170.91/26.10  | |   (16)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.91/26.10  | | 
% 170.91/26.10  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (9), (11), (12), (16) are
% 170.91/26.10  | |            inconsistent by sub-proof #127.
% 170.91/26.10  | | 
% 170.91/26.10  | End of split
% 170.91/26.10  | 
% 170.91/26.10  End of proof
% 170.91/26.10  
% 170.91/26.10  Sub-proof #127 shows that the following formulas are inconsistent:
% 170.91/26.10  ----------------------------------------------------------------
% 170.91/26.10    (1)  op(all_4_2, e2) = e0
% 170.91/26.10    (2)  all_56_5 = all_52_9
% 170.91/26.10    (3)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 170.91/26.10    (4)  op(e0, e2) = all_52_7
% 170.91/26.10    (5)   ~ (all_52_9 = e0)
% 170.91/26.10    (6)   ~ (all_52_13 = e0)
% 170.91/26.10    (7)   ~ (all_52_7 = all_4_2)
% 170.91/26.10    (8)  all_56_3 = all_4_2
% 170.91/26.10    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.91/26.10           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.91/26.10    (10)  all_56_10 = all_52_13
% 170.91/26.10  
% 170.91/26.10  Begin of proof
% 170.91/26.10  | 
% 170.91/26.10  | BETA: splitting (3) gives:
% 170.91/26.10  | 
% 170.91/26.10  | Case 1:
% 170.91/26.10  | | 
% 170.91/26.10  | |   (11)  all_56_3 = e0
% 170.91/26.10  | | 
% 170.91/26.10  | | COMBINE_EQS: (8), (11) imply:
% 170.91/26.10  | |   (12)  all_4_2 = e0
% 170.91/26.10  | | 
% 170.91/26.10  | | REDUCE: (7), (12) imply:
% 170.91/26.10  | |   (13)   ~ (all_52_7 = e0)
% 170.91/26.10  | | 
% 170.91/26.10  | | REDUCE: (1), (12) imply:
% 170.91/26.10  | |   (14)  op(e0, e2) = e0
% 170.91/26.10  | | 
% 170.91/26.10  | | GROUND_INST: instantiating (9) with all_52_7, e0, e2, e0, simplifying with
% 170.91/26.10  | |              (4), (14) gives:
% 170.91/26.10  | |   (15)  all_52_7 = e0
% 170.91/26.10  | | 
% 170.91/26.10  | | REDUCE: (13), (15) imply:
% 170.91/26.10  | |   (16)  $false
% 170.91/26.10  | | 
% 170.91/26.10  | | CLOSE: (16) is inconsistent.
% 170.91/26.10  | | 
% 170.91/26.10  | Case 2:
% 170.91/26.10  | | 
% 170.91/26.10  | |   (17)  all_56_5 = e0 | all_56_10 = e0
% 170.91/26.10  | | 
% 170.91/26.10  | | REF_CLOSE: (2), (5), (6), (10), (17) are inconsistent by sub-proof #696.
% 170.91/26.10  | | 
% 170.91/26.10  | End of split
% 170.91/26.10  | 
% 170.91/26.10  End of proof
% 170.91/26.10  
% 170.91/26.10  Sub-proof #128 shows that the following formulas are inconsistent:
% 170.91/26.10  ----------------------------------------------------------------
% 170.91/26.10    (1)   ~ (all_34_0 = e2) |  ~ (all_34_2 = e3)
% 170.91/26.10    (2)   ~ (e3 = e1)
% 170.91/26.10    (3)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 170.91/26.10    (4)  all_58_28 = e1
% 170.91/26.10    (5)  all_56_8 = all_10_2
% 170.91/26.10    (6)  all_56_7 = e1
% 170.91/26.10    (7)  all_34_2 = all_10_2
% 170.91/26.10    (8)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 170.91/26.10    (9)  op(e3, e1) = all_58_3
% 170.91/26.10    (10)  all_58_28 = e3 | all_58_29 = e2
% 170.91/26.10    (11)   ~ (all_10_2 = e1)
% 170.91/26.10    (12)   ~ (e3 = e2)
% 170.91/26.10    (13)  all_56_6 = e2
% 170.91/26.10    (14)  all_58_16 = e3
% 170.91/26.10    (15)   ~ (all_52_2 = e1)
% 170.91/26.10    (16)  all_58_18 = all_52_2
% 170.91/26.10    (17)   ~ (e3 = e0)
% 170.91/26.10    (18)  op(e3, e1) = e2
% 170.91/26.10    (19)  all_58_17 = e0
% 170.91/26.10    (20)  op(all_10_2, e1) = e0
% 170.91/26.10    (21)  all_56_11 = e0
% 170.91/26.10    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 170.91/26.10            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 170.91/26.10    (23)  all_58_29 = e2
% 170.91/26.10    (24)   ~ (e2 = e0)
% 170.91/26.10  
% 170.91/26.10  Begin of proof
% 170.91/26.10  | 
% 170.91/26.10  | BETA: splitting (8) gives:
% 170.91/26.10  | 
% 170.91/26.10  | Case 1:
% 170.91/26.10  | | 
% 170.91/26.10  | |   (25)  all_56_6 = e3
% 170.91/26.10  | | 
% 170.91/26.10  | | COMBINE_EQS: (13), (25) imply:
% 170.91/26.10  | |   (26)  e3 = e2
% 170.91/26.10  | | 
% 170.91/26.10  | | REDUCE: (12), (26) imply:
% 170.91/26.10  | |   (27)  $false
% 170.91/26.10  | | 
% 170.91/26.10  | | CLOSE: (27) is inconsistent.
% 170.91/26.10  | | 
% 170.91/26.10  | Case 2:
% 170.91/26.10  | | 
% 170.91/26.10  | |   (28)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 170.91/26.10  | | 
% 170.91/26.10  | | BETA: splitting (28) gives:
% 170.91/26.10  | | 
% 170.91/26.10  | | Case 1:
% 170.91/26.10  | | | 
% 170.91/26.10  | | |   (29)  all_56_7 = e3
% 170.91/26.10  | | | 
% 170.91/26.10  | | | COMBINE_EQS: (6), (29) imply:
% 170.91/26.10  | | |   (30)  e3 = e1
% 170.91/26.10  | | | 
% 170.91/26.10  | | | COMBINE_EQS: (14), (30) imply:
% 170.91/26.10  | | |   (31)  all_58_16 = e1
% 170.91/26.10  | | | 
% 170.91/26.10  | | | REF_CLOSE: (2), (3), (15), (16), (19), (24), (31) are inconsistent by
% 170.91/26.10  | | |            sub-proof #938.
% 170.91/26.10  | | | 
% 170.91/26.10  | | Case 2:
% 170.91/26.10  | | | 
% 170.91/26.10  | | |   (32)  all_56_8 = e3 | all_56_11 = e3
% 170.91/26.10  | | | 
% 170.91/26.10  | | | BETA: splitting (32) gives:
% 170.91/26.10  | | | 
% 170.91/26.10  | | | Case 1:
% 170.91/26.10  | | | | 
% 170.91/26.10  | | | |   (33)  all_56_8 = e3
% 170.91/26.10  | | | | 
% 170.91/26.10  | | | | COMBINE_EQS: (5), (33) imply:
% 170.91/26.10  | | | |   (34)  all_10_2 = e3
% 170.91/26.10  | | | | 
% 170.91/26.10  | | | | SIMP: (34) implies:
% 170.91/26.10  | | | |   (35)  all_10_2 = e3
% 170.91/26.10  | | | | 
% 170.91/26.10  | | | | COMBINE_EQS: (7), (35) imply:
% 170.91/26.10  | | | |   (36)  all_34_2 = e3
% 170.91/26.10  | | | | 
% 170.91/26.10  | | | | REDUCE: (20), (35) imply:
% 170.91/26.10  | | | |   (37)  op(e3, e1) = e0
% 170.91/26.10  | | | | 
% 170.91/26.10  | | | | BETA: splitting (1) gives:
% 170.91/26.10  | | | | 
% 170.91/26.10  | | | | Case 1:
% 170.91/26.10  | | | | | 
% 170.91/26.10  | | | | | 
% 170.91/26.10  | | | | | GROUND_INST: instantiating (22) with e2, all_58_3, e1, e3, simplifying
% 170.91/26.10  | | | | |              with (9), (18) gives:
% 170.91/26.10  | | | | |   (38)  all_58_3 = e2
% 170.91/26.10  | | | | | 
% 170.91/26.10  | | | | | GROUND_INST: instantiating (22) with e0, all_58_3, e1, e3, simplifying
% 170.91/26.10  | | | | |              with (9), (37) gives:
% 170.91/26.10  | | | | |   (39)  all_58_3 = e0
% 170.91/26.10  | | | | | 
% 170.91/26.10  | | | | | COMBINE_EQS: (38), (39) imply:
% 170.91/26.10  | | | | |   (40)  e2 = e0
% 170.91/26.10  | | | | | 
% 170.91/26.10  | | | | | SIMP: (40) implies:
% 170.91/26.10  | | | | |   (41)  e2 = e0
% 170.91/26.10  | | | | | 
% 170.91/26.10  | | | | | COMBINE_EQS: (23), (41) imply:
% 170.91/26.10  | | | | |   (42)  all_58_29 = e0
% 170.91/26.10  | | | | | 
% 170.91/26.10  | | | | | REF_CLOSE: (2), (4), (10), (24), (42) are inconsistent by sub-proof
% 170.91/26.10  | | | | |            #747.
% 170.91/26.10  | | | | | 
% 170.91/26.10  | | | | Case 2:
% 170.91/26.10  | | | | | 
% 170.91/26.10  | | | | |   (43)   ~ (all_34_2 = e3)
% 170.91/26.10  | | | | | 
% 170.91/26.10  | | | | | REDUCE: (36), (43) imply:
% 170.91/26.10  | | | | |   (44)  $false
% 170.91/26.10  | | | | | 
% 170.91/26.10  | | | | | CLOSE: (44) is inconsistent.
% 170.91/26.10  | | | | | 
% 170.91/26.10  | | | | End of split
% 170.91/26.10  | | | | 
% 170.91/26.10  | | | Case 2:
% 170.91/26.10  | | | | 
% 170.91/26.10  | | | |   (45)  all_56_11 = e3
% 170.91/26.10  | | | | 
% 170.91/26.10  | | | | REF_CLOSE: (17), (21), (45) are inconsistent by sub-proof #331.
% 170.91/26.10  | | | | 
% 170.91/26.10  | | | End of split
% 170.91/26.10  | | | 
% 170.91/26.10  | | End of split
% 170.91/26.10  | | 
% 170.91/26.10  | End of split
% 170.91/26.10  | 
% 170.91/26.10  End of proof
% 170.91/26.10  
% 170.91/26.10  Sub-proof #129 shows that the following formulas are inconsistent:
% 170.91/26.10  ----------------------------------------------------------------
% 170.91/26.10    (1)   ~ (all_52_12 = all_14_2)
% 170.91/26.10    (2)  all_56_1 = all_52_4
% 170.91/26.10    (3)  op(e1, e3) = all_52_2
% 170.91/26.10    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 170.91/26.10    (5)   ~ (all_52_8 = all_52_12)
% 170.91/26.10    (6)  all_58_23 = all_52_7
% 170.91/26.10    (7)   ~ (all_52_2 = all_6_2)
% 170.91/26.10    (8)  all_8_2 = all_6_2
% 170.91/26.10    (9)   ~ (all_52_4 = all_4_2)
% 170.91/26.10    (10)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 170.91/26.10    (11)  all_54_3 = all_52_12
% 170.91/26.10    (12)  all_56_5 = all_52_9
% 170.91/26.10    (13)  op(all_6_2, e3) = all_6_1
% 170.91/26.10    (14)   ~ (all_52_12 = all_6_2)
% 170.91/26.10    (15)  all_54_1 = all_52_4
% 170.91/26.10    (16)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 170.91/26.10    (17)  op(e1, all_10_2) = all_58_10
% 170.91/26.10    (18)   ~ (all_52_9 = all_4_2)
% 170.91/26.10    (19)  op(e1, e1) = all_10_2
% 170.91/26.10    (20)  all_56_14 = all_52_11
% 170.91/26.10    (21)  all_56_12 = e0
% 170.91/26.10    (22)  all_56_8 = all_10_2
% 170.91/26.10    (23)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 170.91/26.10    (24)  all_58_26 = all_10_2
% 170.91/26.10    (25)   ~ (all_52_4 = all_52_6)
% 170.91/26.10    (26)  all_58_31 = all_14_2
% 170.91/26.10    (27)   ~ (all_52_9 = all_52_13)
% 170.91/26.10    (28)   ~ (all_52_1 = all_6_2)
% 170.91/26.10    (29)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 170.91/26.10    (30)  all_56_11 = all_52_14
% 170.91/26.10    (31)   ~ (all_52_6 = all_52_7)
% 170.91/26.11    (32)  all_56_0 = all_6_2
% 170.91/26.11    (33)   ~ (all_52_9 = all_10_2)
% 170.91/26.11    (34)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 170.91/26.11    (35)  all_58_30 = all_52_14
% 170.91/26.11    (36)  all_58_27 = all_52_11
% 170.91/26.11    (37)  all_56_9 = all_52_12
% 170.91/26.11    (38)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 170.91/26.11    (39)   ~ (e3 = e2)
% 170.91/26.11    (40)   ~ (e2 = e1)
% 170.91/26.11    (41)   ~ (all_52_6 = all_10_2)
% 170.91/26.11    (42)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 170.91/26.11    (43)   ~ (all_52_13 = all_14_2)
% 170.91/26.11    (44)   ~ (all_52_1 = all_4_2)
% 170.91/26.11    (45)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 170.91/26.11    (46)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 170.91/26.11    (47)   ~ (all_52_13 = all_52_14)
% 170.91/26.11    (48)  op(e2, e3) = all_52_1
% 170.91/26.11    (49)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 170.91/26.11    (50)  all_56_13 = all_52_7
% 170.91/26.11    (51)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 170.91/26.11    (52)   ~ (all_52_8 = all_52_9)
% 170.91/26.11    (53)   ~ (all_52_4 = all_6_2)
% 170.91/26.11    (54)  all_56_2 = all_52_1
% 170.91/26.11    (55)   ~ (e3 = e0)
% 170.91/26.11    (56)  all_58_29 = all_52_13
% 170.91/26.11    (57)   ~ (all_52_1 = all_52_2)
% 170.91/26.11    (58)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 170.91/26.11    (59)   ~ (all_4_2 = e0)
% 170.91/26.11    (60)   ~ (all_6_2 = e0)
% 170.91/26.11    (61)   ~ (all_52_6 = all_52_14)
% 170.91/26.11    (62)   ~ (all_52_8 = all_10_2)
% 170.91/26.11    (63)  all_56_4 = all_52_8
% 170.91/26.11    (64)   ~ (all_52_1 = all_52_13)
% 170.91/26.11    (65)  all_58_20 = all_52_4
% 170.91/26.11    (66)  op(all_10_2, e1) = e0
% 170.91/26.11    (67)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 170.91/26.11    (68)   ~ (all_52_8 = all_52_11)
% 170.91/26.11    (69)   ~ (all_52_8 = all_6_2)
% 171.15/26.11    (70)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 171.15/26.11    (71)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.15/26.11    (72)  all_56_6 = all_52_2
% 171.15/26.11    (73)   ~ (all_52_1 = all_52_9)
% 171.15/26.11    (74)   ~ (all_52_7 = e0)
% 171.15/26.11    (75)  all_58_24 = all_52_8
% 171.15/26.11    (76)   ~ (all_52_12 = all_52_14)
% 171.15/26.11    (77)   ~ (all_52_9 = all_52_11)
% 171.15/26.11    (78)  all_58_22 = all_52_6
% 171.15/26.11    (79)   ~ (all_52_4 = all_52_12)
% 171.15/26.11    (80)  all_56_3 = all_4_2
% 171.15/26.11    (81)  all_54_0 = all_6_2
% 171.15/26.11    (82)   ~ (all_52_14 = all_10_2)
% 171.15/26.11    (83)   ~ (all_52_11 = e0)
% 171.15/26.11    (84)   ~ (all_52_4 = all_52_8)
% 171.15/26.11    (85)  all_58_25 = all_52_9
% 171.15/26.11    (86)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.15/26.11            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.15/26.11    (87)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 171.15/26.11    (88)  all_58_21 = all_4_2
% 171.15/26.11    (89)  all_56_10 = all_52_13
% 171.15/26.11    (90)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.15/26.11    (91)   ~ (e2 = e0)
% 171.15/26.11    (92)  all_8_1 = all_6_1
% 171.15/26.11    (93)  all_58_28 = all_52_12
% 171.15/26.11    (94)   ~ (e1 = e0)
% 171.15/26.11    (95)  all_54_4 = all_52_1
% 171.15/26.11    (96)  all_56_7 = all_52_6
% 171.15/26.11    (97)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 171.15/26.11    (98)   ~ (all_52_2 = all_10_2)
% 171.15/26.11    (99)   ~ (all_52_12 = all_52_13)
% 171.15/26.11  
% 171.15/26.11  Begin of proof
% 171.15/26.11  | 
% 171.15/26.11  | BETA: splitting (10) gives:
% 171.15/26.11  | 
% 171.15/26.11  | Case 1:
% 171.15/26.11  | | 
% 171.15/26.11  | |   (100)  all_56_3 = e0
% 171.15/26.11  | | 
% 171.15/26.11  | | COMBINE_EQS: (80), (100) imply:
% 171.15/26.11  | |   (101)  all_4_2 = e0
% 171.15/26.11  | | 
% 171.15/26.11  | | REDUCE: (59), (101) imply:
% 171.15/26.11  | |   (102)  $false
% 171.15/26.11  | | 
% 171.15/26.11  | | CLOSE: (102) is inconsistent.
% 171.15/26.11  | | 
% 171.15/26.11  | Case 2:
% 171.15/26.11  | | 
% 171.15/26.11  | |   (103)  all_56_7 = e0 | all_56_13 = e0
% 171.15/26.11  | | 
% 171.15/26.11  | | BETA: splitting (103) gives:
% 171.15/26.11  | | 
% 171.15/26.11  | | Case 1:
% 171.15/26.11  | | | 
% 171.15/26.11  | | |   (104)  all_56_7 = e0
% 171.15/26.11  | | | 
% 171.15/26.11  | | | COMBINE_EQS: (96), (104) imply:
% 171.15/26.11  | | |   (105)  all_52_6 = e0
% 171.15/26.11  | | | 
% 171.15/26.11  | | | COMBINE_EQS: (78), (105) imply:
% 171.15/26.11  | | |   (106)  all_58_22 = e0
% 171.15/26.11  | | | 
% 171.15/26.11  | | | REDUCE: (25), (105) imply:
% 171.15/26.11  | | |   (107)   ~ (all_52_4 = e0)
% 171.15/26.11  | | | 
% 171.15/26.11  | | | REDUCE: (31), (105) imply:
% 171.15/26.11  | | |   (108)   ~ (all_52_7 = e0)
% 171.15/26.11  | | | 
% 171.15/26.11  | | | REDUCE: (61), (105) imply:
% 171.15/26.11  | | |   (109)   ~ (all_52_14 = e0)
% 171.15/26.11  | | | 
% 171.15/26.11  | | | SIMP: (109) implies:
% 171.15/26.11  | | |   (110)   ~ (all_52_14 = e0)
% 171.15/26.11  | | | 
% 171.15/26.11  | | | REDUCE: (41), (105) imply:
% 171.15/26.11  | | |   (111)   ~ (all_10_2 = e0)
% 171.15/26.11  | | | 
% 171.15/26.11  | | | SIMP: (111) implies:
% 171.15/26.11  | | |   (112)   ~ (all_10_2 = e0)
% 171.15/26.11  | | | 
% 171.15/26.11  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13),
% 171.15/26.11  | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 171.15/26.11  | | |            (24), (26), (27), (28), (29), (30), (32), (33), (34), (35),
% 171.15/26.11  | | |            (36), (37), (38), (39), (40), (42), (43), (44), (45), (46),
% 171.15/26.11  | | |            (47), (48), (49), (51), (52), (53), (54), (55), (56), (57),
% 171.15/26.11  | | |            (58), (60), (62), (63), (64), (65), (66), (67), (68), (69),
% 171.15/26.11  | | |            (70), (71), (72), (73), (74), (75), (76), (77), (79), (80),
% 171.15/26.11  | | |            (81), (82), (83), (84), (85), (86), (87), (88), (89), (90),
% 171.15/26.11  | | |            (91), (92), (93), (94), (95), (97), (98), (99), (106), (107),
% 171.15/26.11  | | |            (110), (112) are inconsistent by sub-proof #157.
% 171.15/26.11  | | | 
% 171.15/26.11  | | Case 2:
% 171.15/26.11  | | | 
% 171.15/26.11  | | |   (113)  all_56_13 = e0
% 171.15/26.11  | | | 
% 171.15/26.11  | | | REF_CLOSE: (50), (74), (113) are inconsistent by sub-proof #942.
% 171.15/26.11  | | | 
% 171.15/26.11  | | End of split
% 171.15/26.11  | | 
% 171.15/26.11  | End of split
% 171.15/26.11  | 
% 171.15/26.11  End of proof
% 171.15/26.11  
% 171.15/26.11  Sub-proof #130 shows that the following formulas are inconsistent:
% 171.15/26.11  ----------------------------------------------------------------
% 171.15/26.11    (1)   ~ (all_52_12 = all_14_2)
% 171.15/26.11    (2)  all_56_1 = all_52_4
% 171.15/26.11    (3)  all_56_12 = all_52_3
% 171.15/26.11    (4)   ~ (all_52_8 = all_52_12)
% 171.15/26.11    (5)   ~ (e3 = e1)
% 171.15/26.11    (6)  all_58_23 = all_52_7
% 171.15/26.11    (7)   ~ (all_52_4 = all_4_2)
% 171.15/26.11    (8)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.15/26.11    (9)  all_56_5 = all_52_9
% 171.15/26.11    (10)  op(all_6_2, e3) = all_6_1
% 171.15/26.11    (11)   ~ (all_52_12 = all_6_2)
% 171.15/26.11    (12)  op(e2, e0) = all_52_13
% 171.15/26.11    (13)  op(e3, all_6_2) = all_58_0
% 171.15/26.11    (14)  all_56_15 = all_14_2
% 171.15/26.11    (15)  all_54_1 = all_52_4
% 171.15/26.11    (16)   ~ (all_52_9 = all_4_2)
% 171.15/26.11    (17)  all_54_6 = all_52_9
% 171.15/26.11    (18)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 171.15/26.11    (19)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 171.15/26.11    (20)   ~ (all_52_13 = all_4_2)
% 171.15/26.11    (21)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.15/26.11    (22)  all_56_8 = all_10_2
% 171.15/26.11    (23)  all_58_9 = all_52_14
% 171.15/26.11    (24)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.15/26.11    (25)  all_58_26 = all_10_2
% 171.15/26.11    (26)  all_58_31 = all_14_2
% 171.15/26.11    (27)   ~ (all_52_9 = all_52_13)
% 171.15/26.11    (28)   ~ (all_52_3 = all_6_2)
% 171.15/26.11    (29)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 171.15/26.11    (30)  all_54_2 = all_52_8
% 171.15/26.11    (31)  all_56_11 = all_52_14
% 171.15/26.11    (32)  all_56_0 = all_6_2
% 171.15/26.11    (33)  all_58_30 = all_52_14
% 171.15/26.11    (34)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 171.15/26.11    (35)  all_58_17 = all_52_1
% 171.15/26.11    (36)  all_58_19 = all_52_3
% 171.15/26.11    (37)  all_56_9 = all_52_12
% 171.15/26.11    (38)  all_58_22 = e0
% 171.15/26.11    (39)   ~ (e3 = e2)
% 171.15/26.11    (40)   ~ (all_52_4 = all_52_7)
% 171.15/26.11    (41)   ~ (e2 = e1)
% 171.15/26.11    (42)  all_58_14 = all_14_2
% 171.15/26.11    (43)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 171.15/26.11    (44)   ~ (all_52_13 = all_14_2)
% 171.15/26.11    (45)   ~ (all_52_1 = all_4_2)
% 171.15/26.11    (46)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.15/26.11    (47)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.15/26.11    (48)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 171.15/26.11    (49)   ~ (all_52_13 = all_52_14)
% 171.15/26.11    (50)  all_58_18 = all_52_2
% 171.15/26.11    (51)  all_58_16 = all_6_2
% 171.15/26.11    (52)  all_56_13 = all_52_7
% 171.15/26.11    (53)  op(e0, e3) = all_52_3
% 171.15/26.11    (54)   ~ (all_52_8 = all_52_9)
% 171.15/26.11    (55)   ~ (all_52_4 = all_6_2)
% 171.15/26.11    (56)  all_56_2 = all_52_1
% 171.15/26.11    (57)   ~ (e3 = e0)
% 171.15/26.11    (58)  op(e3, e0) = all_52_12
% 171.15/26.11    (59)  all_58_29 = all_52_13
% 171.15/26.11    (60)   ~ (all_52_1 = all_52_2)
% 171.15/26.11    (61)  all_56_7 = e0
% 171.15/26.11    (62)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 171.15/26.11    (63)   ~ (all_52_7 = all_4_2)
% 171.15/26.11    (64)   ~ (all_52_8 = all_10_2)
% 171.15/26.11    (65)  all_56_4 = all_52_8
% 171.15/26.11    (66)   ~ (all_52_1 = all_52_13)
% 171.15/26.11    (67)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 171.15/26.11    (68)  all_58_20 = all_52_4
% 171.15/26.11    (69)  all_54_15 = all_14_2
% 171.15/26.11    (70)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 171.15/26.11    (71)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 171.15/26.11    (72)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 171.15/26.11    (73)   ~ (all_52_8 = all_6_2)
% 171.15/26.11    (74)  all_56_6 = all_52_2
% 171.15/26.11    (75)   ~ (all_52_1 = all_52_9)
% 171.15/26.11    (76)   ~ (all_52_7 = e0)
% 171.15/26.11    (77)  all_58_24 = all_52_8
% 171.15/26.11    (78)   ~ (all_52_12 = all_52_14)
% 171.15/26.11    (79)  all_58_27 = e0
% 171.15/26.11    (80)   ~ (all_52_4 = all_52_12)
% 171.15/26.11    (81)  all_56_3 = all_4_2
% 171.15/26.11    (82)   ~ (all_52_14 = all_10_2)
% 171.15/26.11    (83)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 171.15/26.11    (84)   ~ (all_52_2 = all_52_3)
% 171.15/26.11    (85)   ~ (all_52_4 = all_52_8)
% 171.15/26.11    (86)   ~ (all_52_14 = all_14_2)
% 171.15/26.11    (87)  all_58_25 = all_52_9
% 171.15/26.11    (88)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.15/26.11            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.15/26.11    (89)   ~ (all_52_2 = all_52_14)
% 171.15/26.11    (90)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 171.15/26.11    (91)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.15/26.11    (92)  all_58_21 = all_4_2
% 171.15/26.11    (93)  all_56_10 = all_52_13
% 171.15/26.11    (94)  all_56_0 = e0
% 171.15/26.11    (95)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.15/26.11    (96)   ~ (e2 = e0)
% 171.15/26.11    (97)   ~ (all_52_1 = all_52_3)
% 171.15/26.11    (98)   ~ (all_52_14 = e0)
% 171.15/26.11    (99)  all_58_28 = all_52_12
% 171.15/26.11    (100)   ~ (e1 = e0)
% 171.15/26.11    (101)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 171.15/26.11             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 171.15/26.11             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 171.15/26.11             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 171.15/26.11             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 171.15/26.11             (all_58_15 = e0))
% 171.15/26.11    (102)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 171.15/26.11    (103)  all_54_5 = all_4_2
% 171.15/26.11    (104)  op(e2, all_52_13) = all_58_7
% 171.15/26.11    (105)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 171.15/26.11           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 171.15/26.11           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.15/26.11           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 171.15/26.11           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.15/26.11           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 171.15/26.11           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.15/26.11           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 171.15/26.11           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 171.15/26.11           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 171.15/26.11             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 171.15/26.11             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 171.15/26.11             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 171.15/26.11             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 171.15/26.11             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 171.15/26.11             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 171.15/26.11             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 171.15/26.11             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 171.15/26.11             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 171.15/26.11             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 171.15/26.11             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 171.15/26.11             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 171.15/26.11             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 171.15/26.11             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 171.15/26.11             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 171.15/26.11             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 171.15/26.11           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 171.15/26.11           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 171.15/26.11           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 171.15/26.11             all_58_30 = e0 & e1 = e0)
% 171.15/26.11    (106)  all_54_11 = all_52_14
% 171.15/26.11    (107)   ~ (all_52_12 = all_52_13)
% 171.15/26.11  
% 171.15/26.11  Begin of proof
% 171.15/26.11  | 
% 171.15/26.11  | COMBINE_EQS: (32), (94) imply:
% 171.15/26.11  |   (108)  all_6_2 = e0
% 171.15/26.11  | 
% 171.15/26.11  | COMBINE_EQS: (51), (108) imply:
% 171.15/26.11  |   (109)  all_58_16 = e0
% 171.15/26.11  | 
% 171.15/26.11  | REDUCE: (28), (108) imply:
% 171.15/26.11  |   (110)   ~ (all_52_3 = e0)
% 171.15/26.11  | 
% 171.15/26.11  | REDUCE: (55), (108) imply:
% 171.15/26.11  |   (111)   ~ (all_52_4 = e0)
% 171.15/26.11  | 
% 171.15/26.11  | REDUCE: (73), (108) imply:
% 171.15/26.11  |   (112)   ~ (all_52_8 = e0)
% 171.15/26.11  | 
% 171.15/26.11  | REDUCE: (11), (108) imply:
% 171.15/26.11  |   (113)   ~ (all_52_12 = e0)
% 171.15/26.11  | 
% 171.15/26.11  | REDUCE: (10), (108) imply:
% 171.15/26.11  |   (114)  op(e0, e3) = all_6_1
% 171.15/26.11  | 
% 171.15/26.11  | REDUCE: (13), (108) imply:
% 171.15/26.11  |   (115)  op(e3, e0) = all_58_0
% 171.15/26.11  | 
% 171.15/26.11  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (12), (14), (15),
% 171.15/26.11  |            (16), (17), (18), (19), (20), (21), (22), (23), (24), (25), (26),
% 171.15/26.11  |            (27), (29), (30), (31), (33), (34), (35), (36), (37), (38), (39),
% 171.15/26.11  |            (40), (41), (42), (43), (44), (45), (46), (47), (48), (49), (50),
% 171.15/26.11  |            (52), (53), (54), (56), (57), (58), (59), (60), (61), (62), (63),
% 171.15/26.11  |            (64), (65), (66), (67), (68), (69), (70), (71), (72), (74), (75),
% 171.15/26.11  |            (76), (77), (78), (79), (80), (81), (82), (83), (84), (85), (86),
% 171.15/26.11  |            (87), (88), (89), (90), (91), (92), (93), (94), (95), (96), (97),
% 171.15/26.11  |            (98), (99), (100), (101), (102), (103), (104), (105), (106), (107),
% 171.15/26.11  |            (109), (110), (111), (112), (113), (114), (115) are inconsistent by
% 171.15/26.11  |            sub-proof #145.
% 171.15/26.11  | 
% 171.15/26.11  End of proof
% 171.15/26.11  
% 171.15/26.11  Sub-proof #131 shows that the following formulas are inconsistent:
% 171.15/26.11  ----------------------------------------------------------------
% 171.15/26.11    (1)   ~ (all_52_12 = all_14_2)
% 171.15/26.11    (2)  all_54_8 = all_52_2
% 171.15/26.11    (3)  all_56_1 = all_52_4
% 171.15/26.11    (4)  all_56_12 = all_52_3
% 171.15/26.11    (5)  op(e1, e3) = all_52_2
% 171.15/26.11    (6)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.15/26.11    (7)  op(e1, all_52_14) = all_58_11
% 171.15/26.11    (8)   ~ (all_10_2 = e0)
% 171.15/26.11    (9)   ~ (all_52_8 = all_52_12)
% 171.15/26.11    (10)   ~ (e3 = e1)
% 171.15/26.11    (11)   ~ (all_52_2 = all_6_2)
% 171.15/26.11    (12)   ~ (all_52_3 = all_14_2)
% 171.15/26.11    (13)   ~ (all_52_4 = all_4_2)
% 171.15/26.11    (14)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.15/26.11    (15)  all_54_3 = all_52_12
% 171.15/26.11    (16)  all_56_5 = all_52_9
% 171.15/26.11    (17)   ~ (all_52_3 = all_52_11)
% 171.15/26.11    (18)  op(all_6_2, e3) = all_6_1
% 171.15/26.11    (19)   ~ (all_52_12 = all_6_2)
% 171.15/26.11    (20)  op(e2, e0) = all_52_13
% 171.15/26.11    (21)   ~ (all_52_6 = all_4_2)
% 171.15/26.11    (22)  op(e3, all_6_2) = all_58_0
% 171.15/26.11    (23)  op(e1, e0) = all_52_14
% 171.15/26.11    (24)  all_56_15 = all_14_2
% 171.15/26.11    (25)   ~ (all_52_11 = all_14_2)
% 171.15/26.11    (26)  all_54_1 = all_52_4
% 171.15/26.11    (27)  op(all_10_2, e1) = all_10_1
% 171.15/26.11    (28)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 171.15/26.11    (29)  op(e1, all_10_2) = all_58_10
% 171.15/26.11    (30)   ~ (all_52_9 = all_4_2)
% 171.15/26.11    (31)   ~ (all_52_3 = all_52_7)
% 171.15/26.11    (32)  op(e1, e1) = all_10_2
% 171.15/26.11    (33)  all_54_6 = all_52_9
% 171.15/26.11    (34)  all_56_14 = all_52_11
% 171.15/26.11    (35)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 171.15/26.11    (36)   ~ (all_52_13 = all_4_2)
% 171.15/26.11    (37)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.15/26.11    (38)  all_56_8 = all_10_2
% 171.15/26.11    (39)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.15/26.11    (40)  all_58_26 = all_10_2
% 171.15/26.11    (41)   ~ (all_52_4 = all_52_6)
% 171.15/26.11    (42)  all_58_31 = all_14_2
% 171.15/26.11    (43)   ~ (all_52_11 = all_10_2)
% 171.15/26.11    (44)   ~ (all_52_9 = all_52_13)
% 171.15/26.11    (45)   ~ (all_52_3 = all_6_2)
% 171.15/26.11    (46)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 171.15/26.11    (47)   ~ (all_52_4 = e0)
% 171.15/26.11    (48)   ~ (all_52_1 = all_6_2)
% 171.15/26.11    (49)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 171.15/26.11    (50)  all_56_11 = all_52_14
% 171.15/26.11    (51)  all_56_0 = all_6_2
% 171.15/26.11    (52)   ~ (all_52_9 = all_10_2)
% 171.15/26.11    (53)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.15/26.11    (54)  all_58_30 = all_52_14
% 171.15/26.11    (55)  all_58_27 = all_52_11
% 171.15/26.11    (56)  all_54_14 = all_52_11
% 171.15/26.11    (57)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 171.15/26.11    (58)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 171.15/26.11    (59)  all_58_17 = all_52_1
% 171.15/26.11    (60)  all_58_19 = all_52_3
% 171.15/26.11    (61)  all_56_9 = all_52_12
% 171.15/26.11    (62)   ~ (all_52_2 = all_52_6)
% 171.15/26.11    (63)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 171.15/26.11    (64)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 171.15/26.11    (65)   ~ (e3 = e2)
% 171.15/26.11    (66)  op(e3, all_52_8) = all_58_2
% 171.15/26.11    (67)   ~ (e2 = e1)
% 171.15/26.11    (68)   ~ (all_52_6 = all_10_2)
% 171.15/26.11    (69)   ~ (all_14_1 = e2) |  ~ (all_14_2 = e3)
% 171.15/26.11    (70)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 171.15/26.11    (71)   ~ (all_52_13 = all_14_2)
% 171.15/26.11    (72)   ~ (all_52_1 = all_4_2)
% 171.15/26.11    (73)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.15/26.11    (74)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.15/26.11    (75)  all_54_9 = all_52_6
% 171.15/26.11    (76)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 171.15/26.11    (77)   ~ (all_52_13 = all_52_14)
% 171.15/26.11    (78)  all_58_18 = all_52_2
% 171.15/26.11    (79)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.15/26.11    (80)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 171.15/26.11    (81)  all_58_16 = all_6_2
% 171.15/26.11    (82)  all_56_13 = all_52_7
% 171.15/26.11    (83)  op(e0, e3) = all_52_3
% 171.15/26.11    (84)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 171.15/26.11    (85)   ~ (all_52_8 = all_52_9)
% 171.15/26.11    (86)   ~ (all_52_4 = all_6_2)
% 171.15/26.11    (87)  all_56_2 = all_52_1
% 171.15/26.11    (88)   ~ (e3 = e0)
% 171.15/26.11    (89)  op(e3, e0) = all_52_12
% 171.15/26.11    (90)  all_58_29 = all_52_13
% 171.15/26.11    (91)   ~ (all_52_1 = all_52_2)
% 171.15/26.11    (92)   ~ (all_4_2 = e0)
% 171.15/26.11    (93)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 171.15/26.11    (94)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 171.15/26.11    (95)   ~ (all_52_6 = all_52_14)
% 171.15/26.11    (96)  all_56_4 = all_52_8
% 171.15/26.11    (97)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.15/26.11    (98)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 171.15/26.11    (99)   ~ (all_52_1 = all_52_13)
% 171.15/26.11    (100)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 171.15/26.11    (101)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 171.15/26.11    (102)  all_58_20 = all_52_4
% 171.15/26.11    (103)  all_54_15 = all_14_2
% 171.15/26.11    (104)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 171.15/26.11    (105)   ~ (all_52_8 = all_52_11)
% 171.15/26.11    (106)   ~ (all_52_8 = all_6_2)
% 171.15/26.11    (107)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 171.15/26.11    (108)  all_56_6 = all_52_2
% 171.15/26.11    (109)  all_58_13 = all_14_2
% 171.15/26.11    (110)   ~ (all_52_1 = all_52_9)
% 171.15/26.11    (111)  all_58_24 = all_52_8
% 171.15/26.11    (112)   ~ (all_52_9 = all_52_11)
% 171.15/26.11    (113)  all_58_22 = all_52_6
% 171.15/26.11    (114)  op(all_14_2, e0) = all_14_1
% 171.15/26.11    (115)   ~ (all_52_4 = all_52_12)
% 171.15/26.11    (116)  all_56_3 = all_4_2
% 171.15/26.11    (117)  all_54_0 = all_6_2
% 171.15/26.11    (118)   ~ (all_52_14 = all_10_2)
% 171.15/26.11    (119)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 171.15/26.11    (120)   ~ (all_52_11 = e0)
% 171.15/26.11    (121)   ~ (all_52_2 = all_52_3)
% 171.15/26.11    (122)   ~ (all_52_4 = all_52_8)
% 171.15/26.11    (123)   ~ (all_52_14 = all_14_2)
% 171.15/26.11    (124)  all_58_25 = all_52_9
% 171.15/26.11    (125)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.15/26.11    (126)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.15/26.11             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.15/26.11    (127)   ~ (all_52_6 = e0)
% 171.15/26.11    (128)  all_54_12 = all_52_3
% 171.15/26.11    (129)   ~ (all_52_2 = all_52_14)
% 171.15/26.11    (130)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.15/26.11    (131)  all_58_21 = all_4_2
% 171.15/26.11    (132)  all_56_10 = all_52_13
% 171.15/26.11    (133)  op(e2, all_52_9) = all_58_6
% 171.15/26.11    (134)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.15/26.11    (135)   ~ (e2 = e0)
% 171.15/26.11    (136)   ~ (all_52_1 = all_52_3)
% 171.15/26.11    (137)  all_58_28 = all_52_12
% 171.15/26.11    (138)  op(e1, all_52_6) = all_58_9
% 171.15/26.11    (139)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 171.15/26.11    (140)   ~ (e1 = e0)
% 171.15/26.11    (141)  all_54_4 = all_52_1
% 171.15/26.12    (142)  all_56_7 = all_52_6
% 171.15/26.12    (143)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 171.15/26.12             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 171.15/26.12             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 171.15/26.12             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 171.15/26.12             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 171.15/26.12             (all_58_15 = e0))
% 171.15/26.12    (144)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 171.15/26.12    (145)  all_54_5 = all_4_2
% 171.15/26.12    (146)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 171.15/26.12           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 171.15/26.12           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.15/26.12           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 171.15/26.12           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.15/26.12           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 171.15/26.12           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.15/26.12           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 171.15/26.12           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 171.15/26.12           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 171.15/26.12             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 171.15/26.12             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 171.15/26.12             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 171.15/26.12             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 171.15/26.12             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 171.15/26.12             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 171.15/26.12             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 171.15/26.12             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 171.15/26.12             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 171.15/26.12             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 171.15/26.12             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 171.15/26.12             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 171.15/26.12             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 171.15/26.12             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 171.15/26.12             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 171.15/26.12             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 171.15/26.12           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 171.15/26.12           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 171.15/26.12           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 171.15/26.12             all_58_30 = e0 & e1 = e0)
% 171.15/26.12    (147)  all_54_7 = all_52_13
% 171.15/26.12    (148)  all_58_23 = e0
% 171.15/26.12    (149)   ~ (all_52_2 = all_10_2)
% 171.15/26.12    (150)   ~ (all_10_1 = e0)
% 171.15/26.12    (151)  op(all_14_1, all_14_2) = e1
% 171.15/26.12    (152)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 171.15/26.12    (153)   ~ (all_52_12 = all_52_13)
% 171.15/26.12  
% 171.15/26.12  Begin of proof
% 171.15/26.12  | 
% 171.15/26.12  | BETA: splitting (64) gives:
% 171.15/26.12  | 
% 171.15/26.12  | Case 1:
% 171.15/26.12  | | 
% 171.15/26.12  | |   (154)  all_56_7 = e0
% 171.15/26.12  | | 
% 171.15/26.12  | | COMBINE_EQS: (142), (154) imply:
% 171.15/26.12  | |   (155)  all_52_6 = e0
% 171.15/26.12  | | 
% 171.15/26.12  | | REDUCE: (127), (155) imply:
% 171.15/26.12  | |   (156)  $false
% 171.15/26.12  | | 
% 171.15/26.12  | | CLOSE: (156) is inconsistent.
% 171.15/26.12  | | 
% 171.15/26.12  | Case 2:
% 171.15/26.12  | | 
% 171.15/26.12  | |   (157)  all_56_8 = e0 | all_56_11 = e0
% 171.15/26.12  | | 
% 171.15/26.12  | | BETA: splitting (157) gives:
% 171.15/26.12  | | 
% 171.15/26.12  | | Case 1:
% 171.15/26.12  | | | 
% 171.15/26.12  | | |   (158)  all_56_8 = e0
% 171.15/26.12  | | | 
% 171.15/26.12  | | | REF_CLOSE: (8), (38), (158) are inconsistent by sub-proof #916.
% 171.15/26.12  | | | 
% 171.15/26.12  | | Case 2:
% 171.15/26.12  | | | 
% 171.15/26.12  | | |   (159)  all_56_11 = e0
% 171.15/26.12  | | | 
% 171.15/26.12  | | | COMBINE_EQS: (50), (159) imply:
% 171.15/26.12  | | |   (160)  all_52_14 = e0
% 171.15/26.12  | | | 
% 171.15/26.12  | | | SIMP: (160) implies:
% 171.15/26.12  | | |   (161)  all_52_14 = e0
% 171.15/26.12  | | | 
% 171.15/26.12  | | | COMBINE_EQS: (54), (161) imply:
% 171.15/26.12  | | |   (162)  all_58_30 = e0
% 171.15/26.12  | | | 
% 171.15/26.12  | | | REDUCE: (129), (161) imply:
% 171.15/26.12  | | |   (163)   ~ (all_52_2 = e0)
% 171.15/26.12  | | | 
% 171.15/26.12  | | | REDUCE: (77), (161) imply:
% 171.15/26.12  | | |   (164)   ~ (all_52_13 = e0)
% 171.15/26.12  | | | 
% 171.15/26.12  | | | REDUCE: (123), (161) imply:
% 171.15/26.12  | | |   (165)   ~ (all_14_2 = e0)
% 171.15/26.12  | | | 
% 171.15/26.12  | | | SIMP: (165) implies:
% 171.15/26.12  | | |   (166)   ~ (all_14_2 = e0)
% 171.15/26.12  | | | 
% 171.15/26.12  | | | REDUCE: (118), (161) imply:
% 171.15/26.12  | | |   (167)   ~ (all_10_2 = e0)
% 171.15/26.12  | | | 
% 171.15/26.12  | | | REDUCE: (7), (161) imply:
% 171.15/26.12  | | |   (168)  op(e1, e0) = all_58_11
% 171.15/26.12  | | | 
% 171.15/26.12  | | | REDUCE: (23), (161) imply:
% 171.15/26.12  | | |   (169)  op(e1, e0) = e0
% 171.15/26.12  | | | 
% 171.15/26.12  | | | GROUND_INST: instantiating (126) with e0, all_58_11, e0, e1, simplifying
% 171.15/26.12  | | |              with (168), (169) gives:
% 171.15/26.12  | | |   (170)  all_58_11 = e0
% 171.15/26.12  | | | 
% 171.15/26.12  | | | BETA: splitting (104) gives:
% 171.15/26.12  | | | 
% 171.15/26.12  | | | Case 1:
% 171.15/26.12  | | | | 
% 171.15/26.12  | | | |   (171)  all_56_0 = e0
% 171.15/26.12  | | | | 
% 171.15/26.12  | | | | REF_CLOSE: (1), (3), (4), (9), (11), (13), (14), (15), (16), (17), (18),
% 171.15/26.12  | | | |            (19), (20), (22), (26), (28), (34), (38), (39), (40), (41),
% 171.15/26.12  | | | |            (42), (43), (44), (45), (46), (48), (49), (51), (53), (55),
% 171.15/26.12  | | | |            (56), (59), (60), (61), (62), (63), (65), (67), (68), (70),
% 171.15/26.12  | | | |            (71), (74), (75), (76), (78), (79), (81), (83), (86), (87),
% 171.15/26.12  | | | |            (88), (89), (90), (91), (92), (96), (97), (99), (100), (102),
% 171.15/26.12  | | | |            (103), (105), (107), (108), (109), (110), (111), (112),
% 171.15/26.12  | | | |            (113), (115), (116), (119), (124), (125), (126), (127),
% 171.15/26.12  | | | |            (131), (132), (133), (134), (135), (136), (137), (139),
% 171.15/26.12  | | | |            (140), (141), (142), (143), (144), (146), (147), (148),
% 171.15/26.12  | | | |            (149), (152), (153), (162), (164), (166), (170), (171) are
% 171.15/26.12  | | | |            inconsistent by sub-proof #150.
% 171.15/26.12  | | | | 
% 171.15/26.12  | | | Case 2:
% 171.15/26.12  | | | | 
% 171.15/26.12  | | | |   (172)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 171.15/26.12  | | | | 
% 171.15/26.12  | | | | BETA: splitting (172) gives:
% 171.15/26.12  | | | | 
% 171.15/26.12  | | | | Case 1:
% 171.15/26.12  | | | | | 
% 171.15/26.12  | | | | |   (173)  all_56_2 = e0
% 171.15/26.12  | | | | | 
% 171.15/26.12  | | | | | COMBINE_EQS: (87), (173) imply:
% 171.15/26.12  | | | | |   (174)  all_52_1 = e0
% 171.15/26.12  | | | | | 
% 171.15/26.12  | | | | | COMBINE_EQS: (59), (174) imply:
% 171.15/26.12  | | | | |   (175)  all_58_17 = e0
% 171.15/26.12  | | | | | 
% 171.15/26.12  | | | | | REDUCE: (91), (174) imply:
% 171.15/26.12  | | | | |   (176)   ~ (all_52_2 = e0)
% 171.15/26.12  | | | | | 
% 171.15/26.12  | | | | | REDUCE: (136), (174) imply:
% 171.15/26.12  | | | | |   (177)   ~ (all_52_3 = e0)
% 171.15/26.12  | | | | | 
% 171.15/26.12  | | | | | SIMP: (177) implies:
% 171.15/26.12  | | | | |   (178)   ~ (all_52_3 = e0)
% 171.15/26.12  | | | | | 
% 171.15/26.12  | | | | | REDUCE: (99), (174) imply:
% 171.15/26.12  | | | | |   (179)   ~ (all_52_13 = e0)
% 171.15/26.12  | | | | | 
% 171.15/26.12  | | | | | REDUCE: (72), (174) imply:
% 171.15/26.12  | | | | |   (180)   ~ (all_4_2 = e0)
% 171.15/26.12  | | | | | 
% 171.15/26.12  | | | | | BETA: splitting (84) gives:
% 171.15/26.12  | | | | | 
% 171.15/26.12  | | | | | Case 1:
% 171.15/26.12  | | | | | | 
% 171.15/26.12  | | | | | |   (181)  all_56_4 = e0
% 171.15/26.12  | | | | | | 
% 171.15/26.12  | | | | | | COMBINE_EQS: (96), (181) imply:
% 171.15/26.12  | | | | | |   (182)  all_52_8 = e0
% 171.15/26.12  | | | | | | 
% 171.15/26.12  | | | | | | COMBINE_EQS: (111), (182) imply:
% 171.15/26.12  | | | | | |   (183)  all_58_24 = e0
% 171.15/26.12  | | | | | | 
% 171.15/26.12  | | | | | | REDUCE: (85), (182) imply:
% 171.15/26.12  | | | | | |   (184)   ~ (all_52_9 = e0)
% 171.15/26.12  | | | | | | 
% 171.15/26.12  | | | | | | SIMP: (184) implies:
% 171.15/26.12  | | | | | |   (185)   ~ (all_52_9 = e0)
% 171.15/26.12  | | | | | | 
% 171.15/26.12  | | | | | | REDUCE: (105), (182) imply:
% 171.15/26.12  | | | | | |   (186)   ~ (all_52_11 = e0)
% 171.15/26.12  | | | | | | 
% 171.15/26.12  | | | | | | REDUCE: (106), (182) imply:
% 171.15/26.12  | | | | | |   (187)   ~ (all_6_2 = e0)
% 171.15/26.12  | | | | | | 
% 171.15/26.12  | | | | | | SIMP: (187) implies:
% 171.15/26.12  | | | | | |   (188)   ~ (all_6_2 = e0)
% 171.15/26.12  | | | | | | 
% 171.15/26.12  | | | | | | REDUCE: (66), (182) imply:
% 171.15/26.12  | | | | | |   (189)  op(e3, e0) = all_58_2
% 171.15/26.12  | | | | | | 
% 171.15/26.12  | | | | | | GROUND_INST: instantiating (126) with all_52_12, all_58_2, e0, e3,
% 171.15/26.12  | | | | | |              simplifying with (89), (189) gives:
% 171.15/26.12  | | | | | |   (190)  all_58_2 = all_52_12
% 171.15/26.12  | | | | | | 
% 171.15/26.12  | | | | | | REF_CLOSE: (1), (2), (4), (5), (6), (10), (11), (12), (13), (14),
% 171.15/26.12  | | | | | |            (16), (19), (21), (24), (25), (26), (27), (29), (30),
% 171.15/26.12  | | | | | |            (32), (33), (34), (35), (36), (37), (38), (39), (40),
% 171.15/26.12  | | | | | |            (41), (42), (43), (44), (45), (46), (47), (51), (52),
% 171.15/26.12  | | | | | |            (53), (55), (57), (58), (60), (61), (62), (65), (67),
% 171.15/26.12  | | | | | |            (69), (71), (73), (74), (75), (76), (78), (79), (81),
% 171.15/26.12  | | | | | |            (86), (88), (89), (90), (92), (93), (94), (98), (100),
% 171.15/26.12  | | | | | |            (101), (103), (108), (112), (114), (116), (117), (119),
% 171.15/26.12  | | | | | |            (120), (121), (124), (125), (126), (127), (128), (130),
% 171.15/26.12  | | | | | |            (131), (132), (134), (135), (137), (138), (140), (142),
% 171.15/26.12  | | | | | |            (145), (146), (148), (149), (150), (151), (159), (162),
% 171.15/26.12  | | | | | |            (163), (164), (166), (173), (175), (178), (181), (183),
% 171.15/26.12  | | | | | |            (185), (188) are inconsistent by sub-proof #132.
% 171.15/26.12  | | | | | | 
% 171.15/26.12  | | | | | Case 2:
% 171.15/26.12  | | | | | | 
% 171.15/26.12  | | | | | |   (191)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 171.15/26.12  | | | | | | 
% 171.15/26.12  | | | | | | REF_CLOSE: (4), (8), (16), (34), (38), (87), (108), (110), (120),
% 171.15/26.12  | | | | | |            (163), (172), (178), (191) are inconsistent by sub-proof
% 171.15/26.12  | | | | | |            #913.
% 171.15/26.12  | | | | | | 
% 171.15/26.12  | | | | | End of split
% 171.15/26.12  | | | | | 
% 171.15/26.12  | | | | Case 2:
% 171.15/26.12  | | | | | 
% 171.15/26.12  | | | | |   (192)  all_56_6 = e0 | all_56_12 = e0
% 171.15/26.12  | | | | | 
% 171.15/26.12  | | | | | REF_CLOSE: (3), (4), (31), (47), (80), (82), (92), (108), (116),
% 171.15/26.12  | | | | |            (127), (142), (163), (192) are inconsistent by sub-proof
% 171.15/26.12  | | | | |            #653.
% 171.15/26.12  | | | | | 
% 171.15/26.12  | | | | End of split
% 171.15/26.12  | | | | 
% 171.15/26.12  | | | End of split
% 171.15/26.12  | | | 
% 171.15/26.12  | | End of split
% 171.15/26.12  | | 
% 171.15/26.12  | End of split
% 171.15/26.12  | 
% 171.15/26.12  End of proof
% 171.15/26.12  
% 171.15/26.12  Sub-proof #132 shows that the following formulas are inconsistent:
% 171.15/26.12  ----------------------------------------------------------------
% 171.15/26.12    (1)   ~ (all_52_12 = all_14_2)
% 171.15/26.12    (2)  all_54_8 = all_52_2
% 171.15/26.12    (3)  all_56_12 = all_52_3
% 171.15/26.12    (4)  op(e1, e3) = all_52_2
% 171.15/26.12    (5)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.15/26.12    (6)   ~ (e3 = e1)
% 171.15/26.12    (7)   ~ (all_52_2 = all_6_2)
% 171.15/26.12    (8)   ~ (all_52_3 = all_14_2)
% 171.15/26.12    (9)   ~ (all_52_4 = all_4_2)
% 171.15/26.12    (10)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.15/26.12    (11)  all_56_5 = all_52_9
% 171.15/26.12    (12)   ~ (all_52_12 = all_6_2)
% 171.15/26.12    (13)   ~ (all_52_6 = all_4_2)
% 171.15/26.12    (14)  all_56_15 = all_14_2
% 171.15/26.12    (15)   ~ (all_52_11 = all_14_2)
% 171.15/26.12    (16)  all_54_1 = all_52_4
% 171.15/26.12    (17)  op(all_10_2, e1) = all_10_1
% 171.15/26.12    (18)   ~ (all_14_2 = e0)
% 171.15/26.12    (19)  op(e1, all_10_2) = all_58_10
% 171.15/26.12    (20)   ~ (all_52_9 = all_4_2)
% 171.15/26.12    (21)  op(e1, e1) = all_10_2
% 171.15/26.12    (22)  all_54_6 = all_52_9
% 171.15/26.12    (23)  all_56_14 = all_52_11
% 171.15/26.12    (24)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 171.15/26.12    (25)   ~ (all_52_13 = all_4_2)
% 171.15/26.12    (26)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.15/26.12    (27)  all_56_8 = all_10_2
% 171.15/26.12    (28)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.15/26.12    (29)  all_58_30 = e0
% 171.15/26.12    (30)   ~ (all_52_9 = e0)
% 171.15/26.12    (31)  all_58_26 = all_10_2
% 171.15/26.12    (32)   ~ (all_52_4 = all_52_6)
% 171.15/26.12    (33)  all_58_31 = all_14_2
% 171.15/26.12    (34)   ~ (all_52_11 = all_10_2)
% 171.15/26.12    (35)   ~ (all_52_9 = all_52_13)
% 171.15/26.12    (36)   ~ (all_52_3 = all_6_2)
% 171.15/26.12    (37)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 171.15/26.12    (38)   ~ (all_52_4 = e0)
% 171.15/26.12    (39)  all_56_0 = all_6_2
% 171.15/26.12    (40)   ~ (all_52_9 = all_10_2)
% 171.15/26.12    (41)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.15/26.12    (42)  all_58_27 = all_52_11
% 171.15/26.12    (43)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 171.15/26.12    (44)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 171.15/26.12    (45)  all_58_19 = all_52_3
% 171.15/26.12    (46)  all_56_9 = all_52_12
% 171.15/26.12    (47)   ~ (all_52_2 = all_52_6)
% 171.15/26.12    (48)  all_56_2 = e0
% 171.15/26.12    (49)  all_56_4 = e0
% 171.15/26.12    (50)   ~ (e3 = e2)
% 171.15/26.12    (51)   ~ (e2 = e1)
% 171.15/26.12    (52)   ~ (all_14_1 = e2) |  ~ (all_14_2 = e3)
% 171.15/26.12    (53)   ~ (all_52_2 = e0)
% 171.15/26.12    (54)   ~ (all_52_13 = all_14_2)
% 171.15/26.12    (55)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.15/26.12    (56)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.15/26.12    (57)  all_54_9 = all_52_6
% 171.15/26.12    (58)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 171.15/26.12    (59)  all_58_18 = all_52_2
% 171.15/26.12    (60)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.15/26.12    (61)  all_58_16 = all_6_2
% 171.15/26.12    (62)   ~ (all_52_4 = all_6_2)
% 171.15/26.12    (63)   ~ (e3 = e0)
% 171.15/26.12    (64)  op(e3, e0) = all_52_12
% 171.15/26.12    (65)  all_58_29 = all_52_13
% 171.15/26.12    (66)   ~ (all_52_13 = e0)
% 171.15/26.12    (67)   ~ (all_4_2 = e0)
% 171.15/26.12    (68)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 171.15/26.12    (69)   ~ (all_6_2 = e0)
% 171.15/26.12    (70)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 171.15/26.12    (71)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 171.15/26.12    (72)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 171.15/26.12    (73)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 171.15/26.12    (74)  all_54_15 = all_14_2
% 171.15/26.12    (75)  all_58_17 = e0
% 171.15/26.12    (76)  all_56_11 = e0
% 171.15/26.12    (77)  all_56_6 = all_52_2
% 171.15/26.12    (78)   ~ (all_52_9 = all_52_11)
% 171.15/26.12    (79)  op(all_14_2, e0) = all_14_1
% 171.15/26.12    (80)  all_56_3 = all_4_2
% 171.15/26.12    (81)  all_54_0 = all_6_2
% 171.15/26.12    (82)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 171.15/26.12    (83)  all_58_24 = e0
% 171.15/26.12    (84)   ~ (all_52_11 = e0)
% 171.15/26.12    (85)   ~ (all_52_2 = all_52_3)
% 171.15/26.12    (86)  all_58_25 = all_52_9
% 171.15/26.12    (87)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.15/26.12    (88)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.15/26.12            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.15/26.12    (89)   ~ (all_52_6 = e0)
% 171.15/26.12    (90)  all_54_12 = all_52_3
% 171.15/26.12    (91)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.15/26.12    (92)  all_58_21 = all_4_2
% 171.15/26.12    (93)  all_56_10 = all_52_13
% 171.15/26.12    (94)   ~ (all_52_3 = e0)
% 171.15/26.12    (95)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.15/26.12    (96)   ~ (e2 = e0)
% 171.15/26.12    (97)  all_58_28 = all_52_12
% 171.15/26.12    (98)  op(e1, all_52_6) = all_58_9
% 171.15/26.12    (99)   ~ (e1 = e0)
% 171.15/26.12    (100)  all_56_7 = all_52_6
% 171.15/26.12    (101)  all_54_5 = all_4_2
% 171.15/26.12    (102)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 171.15/26.12           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 171.15/26.12           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.15/26.12           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 171.15/26.12           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.15/26.12           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 171.15/26.12           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.15/26.12           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 171.15/26.12           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 171.15/26.12           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 171.15/26.12             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 171.15/26.12             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 171.15/26.12             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 171.15/26.12             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 171.15/26.12             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 171.15/26.12             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 171.15/26.12             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 171.15/26.12             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 171.15/26.12             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 171.15/26.12             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 171.15/26.12             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 171.15/26.12             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 171.15/26.12             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 171.15/26.12             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 171.15/26.12             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 171.15/26.12             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 171.15/26.12           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 171.15/26.12           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 171.15/26.12           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 171.15/26.12             all_58_30 = e0 & e1 = e0)
% 171.15/26.12    (103)  all_58_23 = e0
% 171.15/26.12    (104)   ~ (all_52_2 = all_10_2)
% 171.15/26.12    (105)   ~ (all_10_1 = e0)
% 171.15/26.12    (106)  op(all_14_1, all_14_2) = e1
% 171.15/26.12  
% 171.15/26.12  Begin of proof
% 171.15/26.12  | 
% 171.15/26.12  | BETA: splitting (24) gives:
% 171.15/26.12  | 
% 171.15/26.12  | Case 1:
% 171.15/26.12  | | 
% 171.15/26.12  | |   (107)  all_54_6 = e0
% 171.15/26.12  | | 
% 171.15/26.12  | | REF_CLOSE: (22), (30), (107) are inconsistent by sub-proof #901.
% 171.15/26.12  | | 
% 171.15/26.12  | Case 2:
% 171.15/26.12  | | 
% 171.15/26.12  | |   (108)   ~ (all_54_6 = e0)
% 171.15/26.12  | |   (109)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 171.15/26.12  | | 
% 171.15/26.12  | | BETA: splitting (5) gives:
% 171.15/26.12  | | 
% 171.15/26.12  | | Case 1:
% 171.15/26.12  | | | 
% 171.15/26.12  | | |   (110)  all_54_0 = e0
% 171.15/26.12  | | | 
% 171.15/26.12  | | | REF_CLOSE: (69), (81), (110) are inconsistent by sub-proof #984.
% 171.15/26.12  | | | 
% 171.15/26.12  | | Case 2:
% 171.15/26.12  | | | 
% 171.15/26.12  | | |   (111)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 171.15/26.12  | | | 
% 171.15/26.12  | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 171.15/26.12  | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 171.15/26.12  | | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 171.15/26.12  | | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (44),
% 171.15/26.12  | | |            (45), (46), (47), (48), (49), (50), (51), (52), (53), (54),
% 171.15/26.12  | | |            (55), (56), (57), (58), (59), (60), (61), (62), (63), (64),
% 171.15/26.12  | | |            (65), (66), (67), (68), (69), (70), (71), (72), (73), (74),
% 171.15/26.12  | | |            (75), (76), (77), (78), (79), (80), (81), (82), (83), (84),
% 171.15/26.12  | | |            (85), (86), (87), (88), (89), (90), (91), (92), (93), (94),
% 171.15/26.12  | | |            (95), (96), (97), (98), (99), (100), (101), (102), (103),
% 171.15/26.12  | | |            (104), (105), (106), (109), (111) are inconsistent by sub-proof
% 171.15/26.12  | | |            #387.
% 171.15/26.12  | | | 
% 171.15/26.12  | | End of split
% 171.15/26.12  | | 
% 171.15/26.12  | End of split
% 171.15/26.12  | 
% 171.15/26.12  End of proof
% 171.15/26.12  
% 171.15/26.12  Sub-proof #133 shows that the following formulas are inconsistent:
% 171.15/26.12  ----------------------------------------------------------------
% 171.15/26.12    (1)   ~ (all_52_12 = all_14_2)
% 171.15/26.12    (2)  op(e0, e0) = all_14_2
% 171.15/26.12    (3)  all_54_8 = all_52_2
% 171.15/26.12    (4)  all_56_1 = all_52_4
% 171.15/26.12    (5)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 171.15/26.12    (6)  all_56_12 = all_52_3
% 171.15/26.12    (7)  op(e1, e3) = all_52_2
% 171.15/26.12    (8)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.15/26.12    (9)   ~ (all_52_8 = all_52_12)
% 171.15/26.12    (10)   ~ (e3 = e1)
% 171.15/26.12    (11)  all_58_23 = all_52_7
% 171.15/26.12    (12)   ~ (all_52_2 = all_6_2)
% 171.15/26.12    (13)  all_8_2 = all_6_2
% 171.15/26.12    (14)   ~ (all_52_4 = all_4_2)
% 171.15/26.12    (15)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.15/26.12    (16)  all_56_5 = all_52_9
% 171.15/26.12    (17)   ~ (all_52_3 = all_52_11)
% 171.15/26.12    (18)  op(all_6_2, e3) = all_6_1
% 171.15/26.12    (19)   ~ (all_52_12 = all_6_2)
% 171.15/26.12    (20)  op(e2, e0) = all_52_13
% 171.15/26.12    (21)   ~ (all_52_6 = all_4_2)
% 171.15/26.12    (22)  op(e3, all_6_2) = all_58_0
% 171.15/26.12    (23)  all_56_15 = all_14_2
% 171.15/26.12    (24)  all_54_1 = all_52_4
% 171.15/26.12    (25)   ~ (all_52_9 = all_4_2)
% 171.15/26.12    (26)  all_54_6 = all_52_9
% 171.15/26.12    (27)  all_56_14 = all_52_11
% 171.15/26.12    (28)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 171.15/26.12    (29)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 171.15/26.12    (30)   ~ (all_52_13 = all_4_2)
% 171.15/26.12    (31)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.15/26.12    (32)  all_56_8 = all_10_2
% 171.15/26.12    (33)  all_58_9 = all_52_14
% 171.15/26.12    (34)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.15/26.12    (35)  all_58_26 = all_10_2
% 171.15/26.12    (36)   ~ (all_52_4 = all_52_6)
% 171.15/26.12    (37)  all_58_31 = all_14_2
% 171.15/26.12    (38)   ~ (all_52_9 = all_52_13)
% 171.15/26.12    (39)   ~ (all_52_3 = all_6_2)
% 171.15/26.12    (40)   ~ (all_52_4 = e0)
% 171.15/26.12    (41)   ~ (all_52_1 = all_6_2)
% 171.15/26.12    (42)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 171.15/26.12    (43)  all_54_2 = all_52_8
% 171.15/26.12    (44)  all_56_11 = all_52_14
% 171.15/26.12    (45)   ~ (all_52_6 = all_52_7)
% 171.15/26.12    (46)  all_56_0 = all_6_2
% 171.15/26.12    (47)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.15/26.12    (48)  all_58_30 = all_52_14
% 171.15/26.12    (49)  all_58_27 = all_52_11
% 171.15/26.12    (50)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 171.15/26.12    (51)  all_58_17 = all_52_1
% 171.15/26.12    (52)  all_58_19 = all_52_3
% 171.15/26.12    (53)  all_56_9 = all_52_12
% 171.15/26.12    (54)   ~ (all_52_2 = all_52_6)
% 171.15/26.12    (55)  all_58_22 = e0
% 171.15/26.12    (56)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 171.15/26.12    (57)   ~ (e3 = e2)
% 171.15/26.12    (58)   ~ (all_52_4 = all_52_7)
% 171.15/26.12    (59)   ~ (e2 = e1)
% 171.15/26.12    (60)  op(e0, all_52_11) = all_58_14
% 171.15/26.12    (61)   ~ (all_52_2 = e0)
% 171.15/26.12    (62)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 171.15/26.12    (63)   ~ (all_52_13 = all_14_2)
% 171.15/26.12    (64)   ~ (all_52_1 = all_4_2)
% 171.15/26.12    (65)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.15/26.12    (66)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.15/26.12    (67)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 171.15/26.12    (68)   ~ (all_52_13 = all_52_14)
% 171.15/26.12    (69)  op(e2, e3) = all_52_1
% 171.15/26.12    (70)  all_58_18 = all_52_2
% 171.15/26.12    (71)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.15/26.12    (72)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 171.15/26.12    (73)  all_58_16 = all_6_2
% 171.15/26.12    (74)  all_56_13 = all_52_7
% 171.15/26.12    (75)  op(e0, e3) = all_52_3
% 171.15/26.12    (76)   ~ (all_52_12 = e0)
% 171.15/26.12    (77)   ~ (all_52_8 = all_52_9)
% 171.15/26.12    (78)   ~ (all_52_4 = all_6_2)
% 171.15/26.12    (79)  all_56_2 = all_52_1
% 171.15/26.12    (80)   ~ (e3 = e0)
% 171.15/26.12    (81)  op(e3, e0) = all_52_12
% 171.15/26.12    (82)  all_58_29 = all_52_13
% 171.15/26.12    (83)   ~ (all_52_1 = all_52_2)
% 171.15/26.12    (84)  all_56_7 = e0
% 171.15/26.12    (85)   ~ (all_4_2 = e0)
% 171.15/26.12    (86)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 171.15/26.12    (87)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 171.15/26.12    (88)   ~ (all_52_7 = all_4_2)
% 171.15/26.12    (89)   ~ (all_52_8 = all_10_2)
% 171.15/26.12    (90)  all_56_4 = all_52_8
% 171.15/26.12    (91)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.15/26.12    (92)   ~ (all_52_1 = all_52_13)
% 171.15/26.12    (93)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 171.15/26.12    (94)  all_58_20 = all_52_4
% 171.15/26.12    (95)  all_54_15 = all_14_2
% 171.15/26.12    (96)   ~ (all_52_7 = all_52_11)
% 171.15/26.12    (97)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 171.15/26.12    (98)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 171.15/26.12    (99)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 171.15/26.12    (100)   ~ (all_52_8 = all_52_11)
% 171.15/26.12    (101)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 171.15/26.12    (102)   ~ (all_52_8 = all_6_2)
% 171.15/26.12    (103)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 171.15/26.12    (104)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.15/26.12    (105)  all_56_6 = all_52_2
% 171.15/26.12    (106)   ~ (all_52_1 = all_52_9)
% 171.15/26.12    (107)   ~ (all_52_7 = e0)
% 171.15/26.12    (108)  all_58_24 = all_52_8
% 171.15/26.12    (109)   ~ (all_52_12 = all_52_14)
% 171.15/26.12    (110)  all_58_22 = all_52_6
% 171.15/26.12    (111)   ~ (all_52_4 = all_52_12)
% 171.15/26.12    (112)  all_56_3 = all_4_2
% 171.15/26.12    (113)  all_54_0 = all_6_2
% 171.15/26.12    (114)   ~ (all_52_14 = all_10_2)
% 171.15/26.12    (115)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 171.15/26.12    (116)   ~ (all_52_1 = e0)
% 171.15/26.12    (117)   ~ (all_52_2 = all_52_3)
% 171.15/26.12    (118)   ~ (all_52_4 = all_52_8)
% 171.15/26.12    (119)   ~ (all_52_14 = all_14_2)
% 171.15/26.12    (120)  all_58_25 = all_52_9
% 171.15/26.13    (121)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.15/26.13             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.15/26.13    (122)   ~ (all_52_2 = all_52_14)
% 171.15/26.13    (123)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 171.15/26.13    (124)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.15/26.13    (125)  all_58_21 = all_4_2
% 171.15/26.13    (126)  all_56_10 = all_52_13
% 171.15/26.13    (127)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.15/26.13    (128)   ~ (e2 = e0)
% 171.15/26.13    (129)   ~ (all_52_1 = all_52_3)
% 171.15/26.13    (130)   ~ (all_52_14 = e0)
% 171.15/26.13    (131)  all_8_1 = all_6_1
% 171.15/26.13    (132)  all_58_28 = all_52_12
% 171.15/26.13    (133)   ~ (e1 = e0)
% 171.15/26.13    (134)  all_54_4 = all_52_1
% 171.15/26.13    (135)  all_56_7 = all_52_6
% 171.15/26.13    (136)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 171.15/26.13             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 171.15/26.13             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 171.15/26.13             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 171.15/26.13             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 171.15/26.13             (all_58_15 = e0))
% 171.15/26.13    (137)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 171.15/26.13    (138)  all_54_5 = all_4_2
% 171.15/26.13    (139)  op(e2, all_52_13) = all_58_7
% 171.15/26.13    (140)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 171.15/26.13    (141)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 171.15/26.13           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 171.15/26.13           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.15/26.13           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 171.15/26.13           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.15/26.13           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 171.15/26.13           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.15/26.13           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 171.15/26.13           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 171.15/26.13           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 171.15/26.13             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 171.15/26.13             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 171.15/26.13             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 171.15/26.13             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 171.15/26.13             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 171.15/26.13             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 171.15/26.13             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 171.15/26.13             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 171.15/26.13             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 171.15/26.13             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 171.15/26.13             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 171.15/26.13             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 171.15/26.13             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 171.15/26.13             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 171.15/26.13             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 171.15/26.13             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 171.15/26.13           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 171.15/26.13           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 171.15/26.13           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 171.15/26.13             all_58_30 = e0 & e1 = e0)
% 171.15/26.13    (142)   ~ (all_52_2 = all_10_2)
% 171.15/26.13    (143)  all_54_11 = all_52_14
% 171.15/26.13    (144)   ~ (all_52_12 = all_52_13)
% 171.15/26.13  
% 171.15/26.13  Begin of proof
% 171.15/26.13  | 
% 171.15/26.13  | BETA: splitting (104) gives:
% 171.15/26.13  | 
% 171.15/26.13  | Case 1:
% 171.15/26.13  | | 
% 171.15/26.13  | |   (145)  all_56_0 = e0
% 171.15/26.13  | | 
% 171.15/26.13  | | REF_CLOSE: (1), (2), (4), (5), (6), (9), (10), (11), (14), (15), (16), (17),
% 171.15/26.13  | |            (18), (19), (20), (22), (23), (24), (25), (26), (27), (28), (29),
% 171.15/26.13  | |            (30), (31), (32), (33), (34), (35), (37), (38), (39), (42), (43),
% 171.15/26.13  | |            (44), (46), (48), (49), (50), (51), (52), (53), (55), (57), (58),
% 171.15/26.13  | |            (59), (60), (62), (63), (64), (65), (66), (67), (68), (70), (73),
% 171.15/26.13  | |            (74), (75), (77), (78), (79), (80), (81), (82), (83), (84), (86),
% 171.15/26.13  | |            (88), (89), (90), (92), (93), (94), (95), (96), (98), (99),
% 171.15/26.13  | |            (100), (101), (105), (106), (107), (108), (109), (111), (112),
% 171.15/26.13  | |            (114), (115), (117), (118), (119), (120), (121), (122), (123),
% 171.15/26.13  | |            (124), (125), (126), (127), (128), (129), (130), (132), (133),
% 171.15/26.13  | |            (136), (137), (138), (139), (141), (143), (144), (145) are
% 171.15/26.13  | |            inconsistent by sub-proof #144.
% 171.15/26.13  | | 
% 171.15/26.13  | Case 2:
% 171.15/26.13  | | 
% 171.15/26.13  | |   (146)   ~ (all_56_0 = e0)
% 171.15/26.13  | |   (147)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.15/26.13  | | 
% 171.15/26.13  | | REDUCE: (46), (146) imply:
% 171.15/26.13  | |   (148)   ~ (all_6_2 = e0)
% 171.15/26.13  | | 
% 171.15/26.13  | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (11), (12), (13), (14), (16), (18),
% 171.15/26.13  | |            (19), (21), (24), (25), (30), (31), (34), (35), (36), (37), (40),
% 171.15/26.13  | |            (41), (45), (46), (47), (48), (49), (50), (53), (54), (56), (59),
% 171.15/26.13  | |            (61), (63), (64), (65), (66), (69), (71), (72), (74), (76), (77),
% 171.15/26.13  | |            (78), (79), (82), (83), (85), (87), (90), (91), (92), (94), (97),
% 171.15/26.13  | |            (99), (100), (102), (103), (105), (106), (107), (108), (110),
% 171.15/26.13  | |            (111), (112), (113), (114), (116), (118), (120), (121), (122),
% 171.15/26.13  | |            (125), (126), (127), (128), (131), (132), (133), (134), (135),
% 171.15/26.13  | |            (140), (142), (144), (147), (148) are inconsistent by sub-proof
% 171.15/26.13  | |            #134.
% 171.15/26.13  | | 
% 171.15/26.13  | End of split
% 171.15/26.13  | 
% 171.15/26.13  End of proof
% 171.15/26.13  
% 171.15/26.13  Sub-proof #134 shows that the following formulas are inconsistent:
% 171.15/26.13  ----------------------------------------------------------------
% 171.15/26.13    (1)  all_54_8 = all_52_2
% 171.15/26.13    (2)  all_56_1 = all_52_4
% 171.15/26.13    (3)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 171.15/26.13    (4)  all_56_12 = all_52_3
% 171.15/26.13    (5)  op(e1, e3) = all_52_2
% 171.15/26.13    (6)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.15/26.13    (7)  all_58_23 = all_52_7
% 171.15/26.13    (8)   ~ (all_52_2 = all_6_2)
% 171.15/26.13    (9)  all_8_2 = all_6_2
% 171.15/26.13    (10)   ~ (all_52_4 = all_4_2)
% 171.15/26.13    (11)  all_56_5 = all_52_9
% 171.15/26.13    (12)  op(all_6_2, e3) = all_6_1
% 171.15/26.13    (13)   ~ (all_52_12 = all_6_2)
% 171.15/26.13    (14)   ~ (all_52_6 = all_4_2)
% 171.15/26.13    (15)  all_54_1 = all_52_4
% 171.15/26.13    (16)   ~ (all_52_9 = all_4_2)
% 171.15/26.13    (17)   ~ (all_52_13 = all_4_2)
% 171.15/26.13    (18)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.15/26.13    (19)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.15/26.13    (20)  all_58_26 = all_10_2
% 171.15/26.13    (21)   ~ (all_52_4 = all_52_6)
% 171.15/26.13    (22)  all_58_31 = all_14_2
% 171.15/26.13    (23)   ~ (all_52_4 = e0)
% 171.15/26.13    (24)   ~ (all_52_1 = all_6_2)
% 171.15/26.13    (25)   ~ (all_52_6 = all_52_7)
% 171.15/26.13    (26)  all_56_0 = all_6_2
% 171.15/26.13    (27)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.15/26.13    (28)  all_58_30 = all_52_14
% 171.15/26.13    (29)  all_58_27 = all_52_11
% 171.15/26.13    (30)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 171.15/26.13    (31)  all_56_9 = all_52_12
% 171.15/26.13    (32)   ~ (all_52_2 = all_52_6)
% 171.15/26.13    (33)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 171.15/26.13    (34)   ~ (e2 = e1)
% 171.15/26.13    (35)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.15/26.13    (36)   ~ (all_52_2 = e0)
% 171.15/26.13    (37)   ~ (all_52_13 = all_14_2)
% 171.15/26.13    (38)   ~ (all_52_1 = all_4_2)
% 171.15/26.13    (39)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.15/26.13    (40)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.15/26.13    (41)  op(e2, e3) = all_52_1
% 171.15/26.13    (42)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.15/26.13    (43)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 171.15/26.13    (44)  all_56_13 = all_52_7
% 171.15/26.13    (45)   ~ (all_52_12 = e0)
% 171.15/26.13    (46)   ~ (all_52_8 = all_52_9)
% 171.15/26.13    (47)   ~ (all_52_4 = all_6_2)
% 171.15/26.13    (48)  all_56_2 = all_52_1
% 171.15/26.13    (49)  all_58_29 = all_52_13
% 171.15/26.13    (50)   ~ (all_52_1 = all_52_2)
% 171.15/26.13    (51)   ~ (all_4_2 = e0)
% 171.15/26.13    (52)   ~ (all_6_2 = e0)
% 171.15/26.13    (53)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 171.15/26.13    (54)  all_56_4 = all_52_8
% 171.15/26.13    (55)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.15/26.13    (56)   ~ (all_52_1 = all_52_13)
% 171.15/26.13    (57)  all_58_20 = all_52_4
% 171.15/26.13    (58)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 171.15/26.13    (59)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 171.15/26.13    (60)   ~ (all_52_8 = all_52_11)
% 171.15/26.13    (61)   ~ (all_52_8 = all_6_2)
% 171.15/26.13    (62)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 171.15/26.13    (63)  all_56_6 = all_52_2
% 171.15/26.13    (64)   ~ (all_52_1 = all_52_9)
% 171.15/26.13    (65)   ~ (all_52_7 = e0)
% 171.15/26.13    (66)  all_58_24 = all_52_8
% 171.15/26.13    (67)  all_58_22 = all_52_6
% 171.15/26.13    (68)   ~ (all_52_4 = all_52_12)
% 171.15/26.13    (69)  all_56_3 = all_4_2
% 171.15/26.13    (70)  all_54_0 = all_6_2
% 171.15/26.13    (71)   ~ (all_52_14 = all_10_2)
% 171.15/26.13    (72)   ~ (all_52_1 = e0)
% 171.15/26.13    (73)   ~ (all_52_4 = all_52_8)
% 171.15/26.13    (74)  all_58_25 = all_52_9
% 171.15/26.13    (75)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.15/26.13            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.15/26.13    (76)   ~ (all_52_2 = all_52_14)
% 171.15/26.13    (77)  all_58_21 = all_4_2
% 171.15/26.13    (78)  all_56_10 = all_52_13
% 171.15/26.13    (79)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.15/26.13    (80)   ~ (e2 = e0)
% 171.15/26.13    (81)  all_8_1 = all_6_1
% 171.15/26.13    (82)  all_58_28 = all_52_12
% 171.15/26.13    (83)   ~ (e1 = e0)
% 171.15/26.13    (84)  all_54_4 = all_52_1
% 171.15/26.13    (85)  all_56_7 = all_52_6
% 171.15/26.13    (86)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 171.15/26.13    (87)   ~ (all_52_2 = all_10_2)
% 171.15/26.13    (88)   ~ (all_52_12 = all_52_13)
% 171.15/26.13  
% 171.15/26.13  Begin of proof
% 171.15/26.13  | 
% 171.15/26.13  | BETA: splitting (58) gives:
% 171.15/26.13  | 
% 171.15/26.13  | Case 1:
% 171.15/26.13  | | 
% 171.15/26.13  | |   (89)  all_56_0 = e0
% 171.15/26.13  | | 
% 171.15/26.13  | | COMBINE_EQS: (26), (89) imply:
% 171.15/26.13  | |   (90)  all_6_2 = e0
% 171.15/26.13  | | 
% 171.15/26.13  | | REDUCE: (52), (90) imply:
% 171.15/26.13  | |   (91)  $false
% 171.15/26.13  | | 
% 171.15/26.13  | | CLOSE: (91) is inconsistent.
% 171.15/26.13  | | 
% 171.15/26.13  | Case 2:
% 171.15/26.13  | | 
% 171.15/26.13  | |   (92)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 171.15/26.13  | | 
% 171.15/26.13  | | BETA: splitting (35) gives:
% 171.15/26.13  | | 
% 171.15/26.13  | | Case 1:
% 171.15/26.13  | | | 
% 171.15/26.13  | | |   (93)  all_56_1 = e0
% 171.15/26.13  | | | 
% 171.15/26.13  | | | COMBINE_EQS: (2), (93) imply:
% 171.15/26.13  | | |   (94)  all_52_4 = e0
% 171.15/26.13  | | | 
% 171.15/26.13  | | | REDUCE: (23), (94) imply:
% 171.15/26.13  | | |   (95)  $false
% 171.15/26.13  | | | 
% 171.15/26.13  | | | CLOSE: (95) is inconsistent.
% 171.15/26.13  | | | 
% 171.15/26.13  | | Case 2:
% 171.15/26.13  | | | 
% 171.15/26.13  | | |   (96)  all_56_4 = e0 | all_56_9 = e0
% 171.15/26.13  | | | 
% 171.15/26.13  | | | BETA: splitting (96) gives:
% 171.15/26.13  | | | 
% 171.15/26.13  | | | Case 1:
% 171.15/26.13  | | | | 
% 171.15/26.13  | | | |   (97)  all_56_4 = e0
% 171.15/26.13  | | | | 
% 171.15/26.13  | | | | COMBINE_EQS: (54), (97) imply:
% 171.15/26.13  | | | |   (98)  all_52_8 = e0
% 171.15/26.13  | | | | 
% 171.15/26.13  | | | | COMBINE_EQS: (66), (98) imply:
% 171.15/26.13  | | | |   (99)  all_58_24 = e0
% 171.15/26.13  | | | | 
% 171.15/26.13  | | | | REDUCE: (46), (98) imply:
% 171.15/26.13  | | | |   (100)   ~ (all_52_9 = e0)
% 171.15/26.13  | | | | 
% 171.15/26.13  | | | | SIMP: (100) implies:
% 171.15/26.13  | | | |   (101)   ~ (all_52_9 = e0)
% 171.15/26.13  | | | | 
% 171.15/26.13  | | | | REDUCE: (60), (98) imply:
% 171.15/26.13  | | | |   (102)   ~ (all_52_11 = e0)
% 171.15/26.13  | | | | 
% 171.15/26.13  | | | | SIMP: (102) implies:
% 171.15/26.13  | | | |   (103)   ~ (all_52_11 = e0)
% 171.15/26.13  | | | | 
% 171.15/26.13  | | | | REDUCE: (61), (98) imply:
% 171.15/26.13  | | | |   (104)   ~ (all_6_2 = e0)
% 171.15/26.13  | | | | 
% 171.15/26.13  | | | | BETA: splitting (3) gives:
% 171.15/26.13  | | | | 
% 171.15/26.13  | | | | Case 1:
% 171.15/26.13  | | | | | 
% 171.15/26.13  | | | | |   (105)  all_56_12 = e0
% 171.15/26.13  | | | | | 
% 171.15/26.13  | | | | | REF_CLOSE: (1), (2), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 171.15/26.13  | | | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 171.15/26.13  | | | | |            (24), (25), (26), (27), (28), (29), (30), (32), (33), (34),
% 171.15/26.13  | | | | |            (37), (38), (39), (40), (41), (42), (43), (44), (47), (48),
% 171.15/26.13  | | | | |            (49), (50), (51), (52), (53), (55), (56), (57), (59), (62),
% 171.15/26.13  | | | | |            (63), (64), (65), (67), (68), (69), (70), (71), (72), (74),
% 171.15/26.13  | | | | |            (75), (76), (77), (78), (79), (80), (81), (82), (83), (84),
% 171.15/26.13  | | | | |            (85), (86), (87), (88), (99), (101), (103), (105) are
% 171.15/26.13  | | | | |            inconsistent by sub-proof #216.
% 171.15/26.13  | | | | | 
% 171.15/26.13  | | | | Case 2:
% 171.15/26.13  | | | | | 
% 171.15/26.13  | | | | |   (106)   ~ (all_56_12 = e0)
% 171.15/26.13  | | | | | 
% 171.15/26.13  | | | | | REDUCE: (4), (106) imply:
% 171.15/26.13  | | | | |   (107)   ~ (all_52_3 = e0)
% 171.15/26.13  | | | | | 
% 171.15/26.13  | | | | | REF_CLOSE: (4), (36), (48), (63), (72), (92), (107) are inconsistent
% 171.15/26.13  | | | | |            by sub-proof #917.
% 171.15/26.13  | | | | | 
% 171.15/26.13  | | | | End of split
% 171.15/26.13  | | | | 
% 171.15/26.13  | | | Case 2:
% 171.15/26.13  | | | | 
% 171.15/26.13  | | | |   (108)  all_56_9 = e0
% 171.15/26.13  | | | | 
% 171.15/26.13  | | | | REF_CLOSE: (31), (45), (108) are inconsistent by sub-proof #908.
% 171.15/26.13  | | | | 
% 171.15/26.13  | | | End of split
% 171.15/26.13  | | | 
% 171.15/26.13  | | End of split
% 171.15/26.13  | | 
% 171.15/26.13  | End of split
% 171.15/26.13  | 
% 171.15/26.13  End of proof
% 171.15/26.13  
% 171.15/26.13  Sub-proof #135 shows that the following formulas are inconsistent:
% 171.15/26.13  ----------------------------------------------------------------
% 171.15/26.13    (1)   ~ (all_52_12 = all_14_2)
% 171.15/26.13    (2)  all_56_1 = all_52_4
% 171.15/26.13    (3)  all_56_12 = all_52_3
% 171.15/26.13    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.15/26.13    (5)  op(e1, all_52_14) = all_58_11
% 171.15/26.13    (6)   ~ (all_10_2 = e0)
% 171.15/26.13    (7)   ~ (all_52_8 = all_52_12)
% 171.15/26.13    (8)   ~ (e3 = e1)
% 171.15/26.13    (9)   ~ (all_52_2 = all_6_2)
% 171.15/26.13    (10)   ~ (all_52_4 = all_4_2)
% 171.15/26.13    (11)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.15/26.13    (12)  all_54_3 = all_52_12
% 171.15/26.13    (13)  all_56_5 = all_52_9
% 171.15/26.13    (14)   ~ (all_52_3 = all_52_11)
% 171.15/26.13    (15)  op(all_6_2, e3) = all_6_1
% 171.15/26.13    (16)   ~ (all_52_12 = all_6_2)
% 171.15/26.13    (17)  op(e2, e0) = all_52_13
% 171.15/26.13    (18)  op(e3, all_6_2) = all_58_0
% 171.15/26.13    (19)  op(e1, e0) = all_52_14
% 171.15/26.13    (20)  all_54_1 = all_52_4
% 171.15/26.13    (21)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 171.15/26.13    (22)  op(e1, all_10_2) = all_58_10
% 171.15/26.13    (23)   ~ (all_52_9 = all_4_2)
% 171.15/26.13    (24)   ~ (all_52_3 = all_52_7)
% 171.15/26.13    (25)  op(e1, e1) = all_10_2
% 171.15/26.13    (26)  all_56_14 = all_52_11
% 171.15/26.13    (27)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.15/26.13    (28)  all_56_8 = all_10_2
% 171.15/26.13    (29)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.15/26.13    (30)  all_58_26 = all_10_2
% 171.15/26.13    (31)   ~ (all_52_4 = all_52_6)
% 171.15/26.13    (32)  all_58_31 = all_14_2
% 171.15/26.13    (33)   ~ (all_52_11 = all_10_2)
% 171.15/26.13    (34)   ~ (all_52_9 = all_52_13)
% 171.15/26.13    (35)   ~ (all_52_3 = all_6_2)
% 171.15/26.13    (36)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 171.15/26.13    (37)   ~ (all_52_4 = e0)
% 171.15/26.13    (38)   ~ (all_52_1 = all_6_2)
% 171.15/26.13    (39)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 171.15/26.13    (40)  all_56_11 = all_52_14
% 171.15/26.13    (41)  all_56_0 = all_6_2
% 171.15/26.13    (42)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.15/26.13    (43)  all_58_30 = all_52_14
% 171.15/26.13    (44)  all_58_27 = all_52_11
% 171.15/26.13    (45)  all_54_14 = all_52_11
% 171.15/26.13    (46)  all_58_17 = all_52_1
% 171.15/26.13    (47)  all_58_19 = all_52_3
% 171.15/26.13    (48)  all_56_9 = all_52_12
% 171.15/26.13    (49)   ~ (all_52_2 = all_52_6)
% 171.15/26.13    (50)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 171.15/26.13    (51)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 171.15/26.13    (52)   ~ (e3 = e2)
% 171.15/26.13    (53)   ~ (e2 = e1)
% 171.15/26.13    (54)   ~ (all_52_6 = all_10_2)
% 171.15/26.13    (55)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 171.15/26.13    (56)   ~ (all_52_13 = all_14_2)
% 171.15/26.13    (57)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.15/26.13    (58)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.15/26.13    (59)  all_54_9 = all_52_6
% 171.15/26.13    (60)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 171.15/26.13    (61)   ~ (all_52_13 = all_52_14)
% 171.15/26.13    (62)  all_58_18 = all_52_2
% 171.15/26.13    (63)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.15/26.13    (64)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 171.15/26.13    (65)  all_58_16 = all_6_2
% 171.15/26.13    (66)  all_56_13 = all_52_7
% 171.15/26.13    (67)  op(e0, e3) = all_52_3
% 171.15/26.13    (68)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 171.15/26.13    (69)   ~ (all_52_8 = all_52_9)
% 171.15/26.13    (70)   ~ (all_52_4 = all_6_2)
% 171.15/26.13    (71)  all_56_2 = all_52_1
% 171.15/26.13    (72)   ~ (e3 = e0)
% 171.15/26.13    (73)  op(e3, e0) = all_52_12
% 171.15/26.13    (74)  all_58_29 = all_52_13
% 171.15/26.13    (75)   ~ (all_52_1 = all_52_2)
% 171.15/26.13    (76)   ~ (all_4_2 = e0)
% 171.15/26.13    (77)   ~ (all_52_6 = all_52_14)
% 171.15/26.13    (78)   ~ (all_52_8 = all_10_2)
% 171.15/26.13    (79)  all_56_4 = all_52_8
% 171.15/26.13    (80)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.15/26.13    (81)   ~ (all_52_1 = all_52_13)
% 171.15/26.13    (82)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 171.15/26.13    (83)  all_58_20 = all_52_4
% 171.15/26.13    (84)  all_54_15 = all_14_2
% 171.15/26.13    (85)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 171.15/26.13    (86)  op(all_10_2, e1) = e0
% 171.15/26.13    (87)   ~ (all_52_8 = all_52_11)
% 171.15/26.13    (88)   ~ (all_52_8 = all_6_2)
% 171.15/26.13    (89)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 171.15/26.13    (90)  all_56_6 = all_52_2
% 171.15/26.13    (91)  all_58_13 = all_14_2
% 171.15/26.13    (92)   ~ (all_52_1 = all_52_9)
% 171.15/26.13    (93)  all_58_24 = all_52_8
% 171.15/26.13    (94)   ~ (all_52_9 = all_52_11)
% 171.15/26.13    (95)  all_58_22 = all_52_6
% 171.15/26.13    (96)   ~ (all_52_4 = all_52_12)
% 171.15/26.13    (97)  all_56_3 = all_4_2
% 171.15/26.13    (98)  all_54_0 = all_6_2
% 171.15/26.13    (99)   ~ (all_52_14 = all_10_2)
% 171.15/26.13    (100)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 171.15/26.13    (101)   ~ (all_52_11 = e0)
% 171.15/26.13    (102)   ~ (all_52_14 = all_14_2)
% 171.15/26.13    (103)  all_58_25 = all_52_9
% 171.15/26.13    (104)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.15/26.13    (105)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.15/26.13             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.15/26.13    (106)   ~ (all_52_6 = e0)
% 171.15/26.13    (107)   ~ (all_52_2 = all_52_14)
% 171.15/26.13    (108)  all_58_21 = all_4_2
% 171.15/26.13    (109)  all_56_10 = all_52_13
% 171.15/26.13    (110)  op(e2, all_52_9) = all_58_6
% 171.15/26.13    (111)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.15/26.13    (112)   ~ (e2 = e0)
% 171.15/26.13    (113)   ~ (all_52_1 = all_52_3)
% 171.15/26.13    (114)  all_58_28 = all_52_12
% 171.15/26.13    (115)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 171.15/26.13    (116)   ~ (e1 = e0)
% 171.15/26.13    (117)  all_54_4 = all_52_1
% 171.15/26.13    (118)  all_56_7 = all_52_6
% 171.15/26.13    (119)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 171.15/26.13             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 171.15/26.13             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 171.15/26.13             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 171.15/26.13             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 171.15/26.13             (all_58_15 = e0))
% 171.15/26.13    (120)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 171.15/26.13    (121)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 171.15/26.13           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 171.15/26.13           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.15/26.13           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 171.15/26.13           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.15/26.13           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 171.15/26.13           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.15/26.13           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 171.15/26.13           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 171.15/26.13           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 171.15/26.13             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 171.15/26.13             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 171.15/26.13             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 171.15/26.13             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 171.15/26.13             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 171.15/26.13             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 171.15/26.13             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 171.15/26.13             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 171.15/26.13             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 171.15/26.13             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 171.15/26.13             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 171.15/26.13             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 171.15/26.13             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 171.15/26.13             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 171.15/26.13             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 171.15/26.13             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 171.15/26.13           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 171.15/26.13           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 171.15/26.13           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 171.15/26.13             all_58_30 = e0 & e1 = e0)
% 171.15/26.13    (122)  all_54_7 = all_52_13
% 171.15/26.13    (123)  all_58_23 = e0
% 171.15/26.13    (124)   ~ (all_52_2 = all_10_2)
% 171.15/26.13    (125)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 171.15/26.13    (126)   ~ (all_52_12 = all_52_13)
% 171.15/26.13  
% 171.15/26.13  Begin of proof
% 171.15/26.13  | 
% 171.15/26.13  | BETA: splitting (51) gives:
% 171.15/26.13  | 
% 171.15/26.13  | Case 1:
% 171.15/26.13  | | 
% 171.15/26.13  | |   (127)  all_56_7 = e0
% 171.15/26.13  | | 
% 171.15/26.13  | | COMBINE_EQS: (118), (127) imply:
% 171.15/26.13  | |   (128)  all_52_6 = e0
% 171.15/26.13  | | 
% 171.15/26.13  | | REDUCE: (106), (128) imply:
% 171.15/26.13  | |   (129)  $false
% 171.15/26.13  | | 
% 171.15/26.13  | | CLOSE: (129) is inconsistent.
% 171.15/26.13  | | 
% 171.15/26.13  | Case 2:
% 171.15/26.13  | | 
% 171.15/26.13  | |   (130)  all_56_8 = e0 | all_56_11 = e0
% 171.15/26.13  | | 
% 171.15/26.13  | | BETA: splitting (130) gives:
% 171.15/26.13  | | 
% 171.15/26.13  | | Case 1:
% 171.15/26.13  | | | 
% 171.15/26.13  | | |   (131)  all_56_8 = e0
% 171.15/26.13  | | | 
% 171.15/26.13  | | | COMBINE_EQS: (28), (131) imply:
% 171.15/26.13  | | |   (132)  all_10_2 = e0
% 171.15/26.13  | | | 
% 171.15/26.13  | | | REDUCE: (6), (132) imply:
% 171.15/26.13  | | |   (133)  $false
% 171.15/26.13  | | | 
% 171.15/26.13  | | | CLOSE: (133) is inconsistent.
% 171.15/26.13  | | | 
% 171.15/26.13  | | Case 2:
% 171.15/26.13  | | | 
% 171.15/26.13  | | |   (134)  all_56_11 = e0
% 171.15/26.13  | | | 
% 171.15/26.13  | | | COMBINE_EQS: (40), (134) imply:
% 171.15/26.13  | | |   (135)  all_52_14 = e0
% 171.15/26.13  | | | 
% 171.15/26.13  | | | SIMP: (135) implies:
% 171.15/26.13  | | |   (136)  all_52_14 = e0
% 171.15/26.13  | | | 
% 171.15/26.13  | | | COMBINE_EQS: (43), (136) imply:
% 171.15/26.13  | | |   (137)  all_58_30 = e0
% 171.15/26.13  | | | 
% 171.15/26.13  | | | REDUCE: (107), (136) imply:
% 171.15/26.13  | | |   (138)   ~ (all_52_2 = e0)
% 171.15/26.13  | | | 
% 171.15/26.13  | | | REDUCE: (61), (136) imply:
% 171.15/26.13  | | |   (139)   ~ (all_52_13 = e0)
% 171.15/26.13  | | | 
% 171.15/26.13  | | | REDUCE: (102), (136) imply:
% 171.15/26.13  | | |   (140)   ~ (all_14_2 = e0)
% 171.15/26.13  | | | 
% 171.15/26.13  | | | SIMP: (140) implies:
% 171.15/26.13  | | |   (141)   ~ (all_14_2 = e0)
% 171.15/26.13  | | | 
% 171.15/26.13  | | | REDUCE: (99), (136) imply:
% 171.15/26.13  | | |   (142)   ~ (all_10_2 = e0)
% 171.15/26.13  | | | 
% 171.15/26.13  | | | REDUCE: (5), (136) imply:
% 171.15/26.13  | | |   (143)  op(e1, e0) = all_58_11
% 171.15/26.13  | | | 
% 171.15/26.13  | | | REDUCE: (19), (136) imply:
% 171.15/26.13  | | |   (144)  op(e1, e0) = e0
% 171.15/26.13  | | | 
% 171.15/26.13  | | | GROUND_INST: instantiating (105) with e0, all_58_11, e0, e1, simplifying
% 171.15/26.13  | | |              with (143), (144) gives:
% 171.15/26.13  | | |   (145)  all_58_11 = e0
% 171.15/26.13  | | | 
% 171.15/26.13  | | | BETA: splitting (85) gives:
% 171.15/26.13  | | | 
% 171.15/26.13  | | | Case 1:
% 171.15/26.13  | | | | 
% 171.15/26.13  | | | |   (146)  all_56_0 = e0
% 171.15/26.13  | | | | 
% 171.15/26.13  | | | | REF_CLOSE: (1), (2), (3), (7), (9), (10), (11), (12), (13), (14), (15),
% 171.15/26.13  | | | |            (16), (17), (18), (20), (21), (26), (28), (29), (30), (31),
% 171.15/26.13  | | | |            (32), (33), (34), (35), (36), (38), (39), (41), (42), (44),
% 171.15/26.13  | | | |            (45), (46), (47), (48), (49), (50), (52), (53), (54), (55),
% 171.15/26.13  | | | |            (56), (58), (59), (60), (62), (63), (65), (67), (70), (71),
% 171.15/26.13  | | | |            (72), (73), (74), (75), (76), (79), (80), (81), (82), (83),
% 171.15/26.13  | | | |            (84), (87), (89), (90), (91), (92), (93), (94), (95), (96),
% 171.15/26.13  | | | |            (97), (100), (103), (104), (105), (106), (108), (109), (110),
% 171.15/26.13  | | | |            (111), (112), (113), (114), (115), (116), (117), (118),
% 171.15/26.13  | | | |            (119), (120), (121), (122), (123), (124), (125), (126),
% 171.15/26.13  | | | |            (137), (139), (141), (145), (146) are inconsistent by
% 171.15/26.13  | | | |            sub-proof #150.
% 171.15/26.13  | | | | 
% 171.15/26.13  | | | Case 2:
% 171.15/26.13  | | | | 
% 171.15/26.13  | | | |   (147)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 171.15/26.13  | | | | 
% 171.15/26.13  | | | | BETA: splitting (147) gives:
% 171.15/26.13  | | | | 
% 171.15/26.13  | | | | Case 1:
% 171.15/26.13  | | | | | 
% 171.15/26.13  | | | | |   (148)  all_56_2 = e0
% 171.15/26.13  | | | | | 
% 171.15/26.13  | | | | | COMBINE_EQS: (71), (148) imply:
% 171.15/26.13  | | | | |   (149)  all_52_1 = e0
% 171.15/26.13  | | | | | 
% 171.15/26.13  | | | | | COMBINE_EQS: (46), (149) imply:
% 171.15/26.13  | | | | |   (150)  all_58_17 = e0
% 171.15/26.13  | | | | | 
% 171.15/26.13  | | | | | REDUCE: (75), (149) imply:
% 171.15/26.14  | | | | |   (151)   ~ (all_52_2 = e0)
% 171.15/26.14  | | | | | 
% 171.15/26.14  | | | | | REDUCE: (113), (149) imply:
% 171.15/26.14  | | | | |   (152)   ~ (all_52_3 = e0)
% 171.15/26.14  | | | | | 
% 171.15/26.14  | | | | | SIMP: (152) implies:
% 171.15/26.14  | | | | |   (153)   ~ (all_52_3 = e0)
% 171.15/26.14  | | | | | 
% 171.15/26.14  | | | | | REDUCE: (81), (149) imply:
% 171.15/26.14  | | | | |   (154)   ~ (all_52_13 = e0)
% 171.15/26.14  | | | | | 
% 171.15/26.14  | | | | | BETA: splitting (68) gives:
% 171.15/26.14  | | | | | 
% 171.15/26.14  | | | | | Case 1:
% 171.15/26.14  | | | | | | 
% 171.15/26.14  | | | | | |   (155)  all_56_4 = e0
% 171.15/26.14  | | | | | | 
% 171.15/26.14  | | | | | | COMBINE_EQS: (79), (155) imply:
% 171.15/26.14  | | | | | |   (156)  all_52_8 = e0
% 171.15/26.14  | | | | | | 
% 171.15/26.14  | | | | | | COMBINE_EQS: (93), (156) imply:
% 171.15/26.14  | | | | | |   (157)  all_58_24 = e0
% 171.15/26.14  | | | | | | 
% 171.15/26.14  | | | | | | REDUCE: (69), (156) imply:
% 171.15/26.14  | | | | | |   (158)   ~ (all_52_9 = e0)
% 171.15/26.14  | | | | | | 
% 171.15/26.14  | | | | | | SIMP: (158) implies:
% 171.15/26.14  | | | | | |   (159)   ~ (all_52_9 = e0)
% 171.15/26.14  | | | | | | 
% 171.15/26.14  | | | | | | REDUCE: (87), (156) imply:
% 171.15/26.14  | | | | | |   (160)   ~ (all_52_11 = e0)
% 171.15/26.14  | | | | | | 
% 171.15/26.14  | | | | | | REDUCE: (88), (156) imply:
% 171.15/26.14  | | | | | |   (161)   ~ (all_6_2 = e0)
% 171.15/26.14  | | | | | | 
% 171.15/26.14  | | | | | | SIMP: (161) implies:
% 171.15/26.14  | | | | | |   (162)   ~ (all_6_2 = e0)
% 171.15/26.14  | | | | | | 
% 171.15/26.14  | | | | | | BETA: splitting (4) gives:
% 171.15/26.14  | | | | | | 
% 171.15/26.14  | | | | | | Case 1:
% 171.15/26.14  | | | | | | | 
% 171.15/26.14  | | | | | | |   (163)  all_54_0 = e0
% 171.15/26.14  | | | | | | | 
% 171.15/26.14  | | | | | | | REF_CLOSE: (98), (162), (163) are inconsistent by sub-proof #984.
% 171.15/26.14  | | | | | | | 
% 171.15/26.14  | | | | | | Case 2:
% 171.15/26.14  | | | | | | | 
% 171.15/26.14  | | | | | | |   (164)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 171.15/26.14  | | | | | | | 
% 171.15/26.14  | | | | | | | REF_CLOSE: (3), (6), (8), (9), (11), (13), (16), (22), (23), (25),
% 171.15/26.14  | | | | | | |            (26), (27), (28), (29), (30), (32), (33), (34), (35),
% 171.15/26.14  | | | | | | |            (41), (42), (44), (47), (52), (53), (57), (62), (63),
% 171.15/26.14  | | | | | | |            (65), (72), (74), (82), (86), (90), (94), (98), (101),
% 171.15/26.14  | | | | | | |            (103), (105), (108), (112), (114), (116), (121), (123),
% 171.15/26.14  | | | | | | |            (124), (137), (138), (139), (141), (148), (150), (153),
% 171.15/26.14  | | | | | | |            (155), (157), (159), (162), (164) are inconsistent by
% 171.15/26.14  | | | | | | |            sub-proof #375.
% 171.15/26.14  | | | | | | | 
% 171.15/26.14  | | | | | | End of split
% 171.15/26.14  | | | | | | 
% 171.15/26.14  | | | | | Case 2:
% 171.15/26.14  | | | | | | 
% 171.15/26.14  | | | | | |   (165)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 171.15/26.14  | | | | | | 
% 171.15/26.14  | | | | | | REF_CLOSE: (3), (6), (13), (26), (28), (71), (90), (92), (101),
% 171.15/26.14  | | | | | |            (138), (147), (153), (165) are inconsistent by sub-proof
% 171.15/26.14  | | | | | |            #913.
% 171.15/26.14  | | | | | | 
% 171.15/26.14  | | | | | End of split
% 171.15/26.14  | | | | | 
% 171.15/26.14  | | | | Case 2:
% 171.15/26.14  | | | | | 
% 171.15/26.14  | | | | |   (166)  all_56_6 = e0 | all_56_12 = e0
% 171.15/26.14  | | | | | 
% 171.15/26.14  | | | | | REF_CLOSE: (2), (3), (24), (37), (64), (66), (76), (90), (97), (106),
% 171.15/26.14  | | | | |            (118), (138), (166) are inconsistent by sub-proof #653.
% 171.15/26.14  | | | | | 
% 171.15/26.14  | | | | End of split
% 171.15/26.14  | | | | 
% 171.15/26.14  | | | End of split
% 171.15/26.14  | | | 
% 171.15/26.14  | | End of split
% 171.15/26.14  | | 
% 171.15/26.14  | End of split
% 171.15/26.14  | 
% 171.15/26.14  End of proof
% 171.15/26.14  
% 171.15/26.14  Sub-proof #136 shows that the following formulas are inconsistent:
% 171.15/26.14  ----------------------------------------------------------------
% 171.15/26.14    (1)   ~ (all_34_0 = e2) |  ~ (all_34_2 = e3)
% 171.15/26.14    (2)  all_56_12 = all_52_3
% 171.15/26.14    (3)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.15/26.14    (4)   ~ (all_10_2 = e0)
% 171.15/26.14    (5)   ~ (e3 = e1)
% 171.15/26.14    (6)   ~ (all_52_3 = all_14_2)
% 171.15/26.14    (7)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.15/26.14    (8)  all_56_5 = all_52_9
% 171.15/26.14    (9)   ~ (all_52_12 = all_6_2)
% 171.15/26.14    (10)  all_56_15 = all_14_2
% 171.15/26.14    (11)   ~ (all_52_11 = all_14_2)
% 171.15/26.14    (12)  op(e1, all_10_2) = all_58_10
% 171.15/26.14    (13)  op(e1, e1) = all_10_2
% 171.15/26.14    (14)  all_56_14 = all_52_11
% 171.15/26.14    (15)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.15/26.14    (16)  all_34_2 = all_10_2
% 171.15/26.14    (17)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.15/26.14    (18)   ~ (all_52_9 = e0)
% 171.15/26.14    (19)  all_58_26 = all_10_2
% 171.15/26.14    (20)  all_58_31 = all_14_2
% 171.15/26.14    (21)   ~ (all_52_11 = all_10_2)
% 171.15/26.14    (22)   ~ (all_52_9 = all_52_13)
% 171.15/26.14    (23)   ~ (all_52_3 = all_6_2)
% 171.15/26.14    (24)  all_58_18 = e0
% 171.15/26.14    (25)   ~ (all_52_1 = all_6_2)
% 171.15/26.14    (26)  all_56_11 = all_52_14
% 171.15/26.14    (27)  all_56_0 = all_6_2
% 171.15/26.14    (28)   ~ (all_52_9 = all_10_2)
% 171.15/26.14    (29)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.15/26.14    (30)  all_58_30 = all_52_14
% 171.15/26.14    (31)  all_58_27 = all_52_11
% 171.15/26.14    (32)  all_58_17 = all_52_1
% 171.15/26.14    (33)  all_58_19 = all_52_3
% 171.15/26.14    (34)  all_56_9 = all_52_12
% 171.15/26.14    (35)   ~ (e3 = e2)
% 171.15/26.14    (36)   ~ (all_52_13 = all_14_2)
% 171.15/26.14    (37)   ~ (all_52_13 = all_52_14)
% 171.15/26.14    (38)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.15/26.14    (39)  all_58_16 = all_6_2
% 171.15/26.14    (40)  op(e0, e3) = all_52_3
% 171.15/26.14    (41)  all_56_2 = all_52_1
% 171.15/26.14    (42)   ~ (e3 = e0)
% 171.15/26.14    (43)  all_58_29 = all_52_13
% 171.15/26.14    (44)   ~ (all_4_2 = e0)
% 171.15/26.14    (45)   ~ (all_6_2 = e0)
% 171.15/26.14    (46)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.15/26.14    (47)  op(e0, all_10_2) = all_10_0
% 171.15/26.14    (48)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 171.15/26.14    (49)   ~ (all_52_1 = all_52_13)
% 171.15/26.14    (50)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 171.15/26.14    (51)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 171.15/26.14    (52)  all_54_10 = all_10_2
% 171.15/26.14    (53)  all_54_15 = all_14_2
% 171.15/26.14    (54)  op(all_10_2, e1) = e0
% 171.15/26.14    (55)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 171.15/26.14    (56)   ~ (all_52_1 = all_52_9)
% 171.15/26.14    (57)  all_56_6 = e0
% 171.15/26.14    (58)  all_56_13 = e0
% 171.15/26.14    (59)  all_56_3 = all_4_2
% 171.15/26.14    (60)  all_54_0 = all_6_2
% 171.15/26.14    (61)   ~ (all_52_14 = all_10_2)
% 171.15/26.14    (62)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 171.15/26.14    (63)  all_58_24 = e0
% 171.15/26.14    (64)   ~ (all_52_11 = e0)
% 171.15/26.14    (65)   ~ (all_52_1 = e0)
% 171.15/26.14    (66)   ~ (all_52_14 = all_14_2)
% 171.15/26.14    (67)  all_58_25 = all_52_9
% 171.15/26.14    (68)  all_34_0 = all_10_0
% 171.15/26.14    (69)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.15/26.14            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.15/26.14    (70)  all_54_12 = all_52_3
% 171.15/26.14    (71)  op(e0, all_14_2) = all_58_15
% 171.15/26.14    (72)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 171.15/26.14    (73)  all_56_10 = all_52_13
% 171.15/26.14    (74)   ~ (all_52_3 = e0)
% 171.15/26.14    (75)   ~ (e2 = e0)
% 171.15/26.14    (76)   ~ (all_52_1 = all_52_3)
% 171.15/26.14    (77)  all_58_28 = all_52_12
% 171.15/26.14    (78)   ~ (e1 = e0)
% 171.15/26.14    (79)  all_54_4 = all_52_1
% 171.15/26.14    (80)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 171.15/26.14    (81)   ~ (all_52_12 = all_52_13)
% 171.15/26.14  
% 171.15/26.14  Begin of proof
% 171.15/26.14  | 
% 171.15/26.14  | BETA: splitting (46) gives:
% 171.15/26.14  | 
% 171.15/26.14  | Case 1:
% 171.15/26.14  | | 
% 171.15/26.14  | |   (82)  all_56_2 = e0
% 171.15/26.14  | | 
% 171.15/26.14  | | REF_CLOSE: (41), (65), (82) are inconsistent by sub-proof #335.
% 171.15/26.14  | | 
% 171.15/26.14  | Case 2:
% 171.15/26.14  | | 
% 171.15/26.14  | |   (83)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.15/26.14  | | 
% 171.15/26.14  | | BETA: splitting (83) gives:
% 171.15/26.14  | | 
% 171.15/26.14  | | Case 1:
% 171.15/26.14  | | | 
% 171.15/26.14  | | |   (84)  all_56_3 = e0
% 171.15/26.14  | | | 
% 171.15/26.14  | | | REF_CLOSE: (44), (59), (84) are inconsistent by sub-proof #283.
% 171.15/26.14  | | | 
% 171.15/26.14  | | Case 2:
% 171.15/26.14  | | | 
% 171.15/26.14  | | |   (85)  all_56_5 = e0 | all_56_10 = e0
% 171.15/26.14  | | | 
% 171.15/26.14  | | | BETA: splitting (85) gives:
% 171.15/26.14  | | | 
% 171.15/26.14  | | | Case 1:
% 171.15/26.14  | | | | 
% 171.15/26.14  | | | |   (86)  all_56_5 = e0
% 171.15/26.14  | | | | 
% 171.15/26.14  | | | | REF_CLOSE: (8), (18), (86) are inconsistent by sub-proof #519.
% 171.15/26.14  | | | | 
% 171.15/26.14  | | | Case 2:
% 171.15/26.14  | | | | 
% 171.15/26.14  | | | |   (87)  all_56_10 = e0
% 171.15/26.14  | | | | 
% 171.15/26.14  | | | | COMBINE_EQS: (73), (87) imply:
% 171.15/26.14  | | | |   (88)  all_52_13 = e0
% 171.15/26.14  | | | | 
% 171.15/26.14  | | | | SIMP: (88) implies:
% 171.15/26.14  | | | |   (89)  all_52_13 = e0
% 171.15/26.14  | | | | 
% 171.15/26.14  | | | | COMBINE_EQS: (43), (89) imply:
% 171.15/26.14  | | | |   (90)  all_58_29 = e0
% 171.15/26.14  | | | | 
% 171.15/26.14  | | | | REDUCE: (81), (89) imply:
% 171.15/26.14  | | | |   (91)   ~ (all_52_12 = e0)
% 171.15/26.14  | | | | 
% 171.15/26.14  | | | | REDUCE: (37), (89) imply:
% 171.15/26.14  | | | |   (92)   ~ (all_52_14 = e0)
% 171.15/26.14  | | | | 
% 171.15/26.14  | | | | SIMP: (92) implies:
% 171.15/26.14  | | | |   (93)   ~ (all_52_14 = e0)
% 171.15/26.14  | | | | 
% 171.15/26.14  | | | | REDUCE: (36), (89) imply:
% 171.15/26.14  | | | |   (94)   ~ (all_14_2 = e0)
% 171.15/26.14  | | | | 
% 171.15/26.14  | | | | SIMP: (94) implies:
% 171.15/26.14  | | | |   (95)   ~ (all_14_2 = e0)
% 171.15/26.14  | | | | 
% 171.15/26.14  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12),
% 171.15/26.14  | | | |            (13), (14), (15), (16), (17), (19), (20), (21), (22), (23),
% 171.15/26.14  | | | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33),
% 171.15/26.14  | | | |            (34), (35), (36), (38), (39), (40), (41), (42), (43), (45),
% 171.15/26.14  | | | |            (47), (48), (49), (50), (51), (52), (53), (54), (55), (56),
% 171.15/26.14  | | | |            (57), (58), (60), (61), (62), (63), (64), (66), (67), (68),
% 171.15/26.14  | | | |            (69), (70), (71), (72), (73), (74), (75), (76), (77), (78),
% 171.15/26.14  | | | |            (79), (80), (90), (91), (93), (95) are inconsistent by
% 171.15/26.14  | | | |            sub-proof #137.
% 171.15/26.14  | | | | 
% 171.15/26.14  | | | End of split
% 171.15/26.14  | | | 
% 171.15/26.14  | | End of split
% 171.15/26.14  | | 
% 171.15/26.14  | End of split
% 171.15/26.14  | 
% 171.15/26.14  End of proof
% 171.15/26.14  
% 171.15/26.14  Sub-proof #137 shows that the following formulas are inconsistent:
% 171.15/26.14  ----------------------------------------------------------------
% 171.15/26.14    (1)   ~ (all_34_0 = e2) |  ~ (all_34_2 = e3)
% 171.15/26.14    (2)  all_56_12 = all_52_3
% 171.15/26.14    (3)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.15/26.14    (4)   ~ (all_10_2 = e0)
% 171.15/26.14    (5)   ~ (e3 = e1)
% 171.15/26.14    (6)   ~ (all_52_3 = all_14_2)
% 171.15/26.14    (7)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.15/26.14    (8)   ~ (all_52_12 = all_6_2)
% 171.15/26.14    (9)  all_56_15 = all_14_2
% 171.15/26.14    (10)   ~ (all_52_11 = all_14_2)
% 171.15/26.14    (11)   ~ (all_14_2 = e0)
% 171.15/26.14    (12)  op(e1, all_10_2) = all_58_10
% 171.15/26.14    (13)  op(e1, e1) = all_10_2
% 171.15/26.14    (14)  all_56_14 = all_52_11
% 171.15/26.14    (15)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.15/26.14    (16)  all_34_2 = all_10_2
% 171.15/26.14    (17)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.15/26.14    (18)  all_58_26 = all_10_2
% 171.15/26.14    (19)  all_58_31 = all_14_2
% 171.15/26.14    (20)   ~ (all_52_11 = all_10_2)
% 171.15/26.14    (21)   ~ (all_52_9 = all_52_13)
% 171.15/26.14    (22)   ~ (all_52_3 = all_6_2)
% 171.15/26.14    (23)  all_58_18 = e0
% 171.15/26.14    (24)   ~ (all_52_1 = all_6_2)
% 171.15/26.14    (25)  all_56_11 = all_52_14
% 171.15/26.14    (26)  all_56_0 = all_6_2
% 171.15/26.14    (27)   ~ (all_52_9 = all_10_2)
% 171.15/26.14    (28)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.15/26.14    (29)  all_58_30 = all_52_14
% 171.15/26.14    (30)  all_58_27 = all_52_11
% 171.15/26.14    (31)  all_58_17 = all_52_1
% 171.15/26.14    (32)  all_58_19 = all_52_3
% 171.15/26.14    (33)  all_56_9 = all_52_12
% 171.15/26.14    (34)   ~ (e3 = e2)
% 171.15/26.14    (35)   ~ (all_52_13 = all_14_2)
% 171.15/26.14    (36)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.15/26.14    (37)  all_58_16 = all_6_2
% 171.15/26.14    (38)  op(e0, e3) = all_52_3
% 171.15/26.14    (39)   ~ (all_52_12 = e0)
% 171.15/26.14    (40)  all_56_2 = all_52_1
% 171.15/26.14    (41)   ~ (e3 = e0)
% 171.15/26.14    (42)  all_58_29 = all_52_13
% 171.15/26.14    (43)   ~ (all_6_2 = e0)
% 171.15/26.14    (44)  op(e0, all_10_2) = all_10_0
% 171.15/26.14    (45)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 171.15/26.14    (46)   ~ (all_52_1 = all_52_13)
% 171.15/26.14    (47)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 171.15/26.14    (48)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 171.15/26.14    (49)  all_54_10 = all_10_2
% 171.15/26.14    (50)  all_54_15 = all_14_2
% 171.15/26.14    (51)  op(all_10_2, e1) = e0
% 171.15/26.14    (52)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 171.15/26.14    (53)   ~ (all_52_1 = all_52_9)
% 171.15/26.14    (54)  all_56_6 = e0
% 171.15/26.14    (55)  all_56_13 = e0
% 171.15/26.14    (56)  all_54_0 = all_6_2
% 171.15/26.14    (57)  all_58_29 = e0
% 171.15/26.14    (58)   ~ (all_52_14 = all_10_2)
% 171.15/26.14    (59)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 171.15/26.14    (60)  all_58_24 = e0
% 171.15/26.14    (61)   ~ (all_52_11 = e0)
% 171.15/26.14    (62)   ~ (all_52_14 = all_14_2)
% 171.15/26.14    (63)  all_58_25 = all_52_9
% 171.15/26.14    (64)  all_34_0 = all_10_0
% 171.15/26.14    (65)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.15/26.14            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.15/26.14    (66)  all_54_12 = all_52_3
% 171.15/26.14    (67)  op(e0, all_14_2) = all_58_15
% 171.15/26.14    (68)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 171.15/26.14    (69)  all_56_10 = all_52_13
% 171.15/26.14    (70)   ~ (all_52_3 = e0)
% 171.15/26.14    (71)   ~ (e2 = e0)
% 171.15/26.14    (72)   ~ (all_52_1 = all_52_3)
% 171.15/26.14    (73)   ~ (all_52_14 = e0)
% 171.15/26.14    (74)  all_58_28 = all_52_12
% 171.15/26.14    (75)   ~ (e1 = e0)
% 171.15/26.14    (76)  all_54_4 = all_52_1
% 171.15/26.14    (77)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 171.15/26.14  
% 171.15/26.14  Begin of proof
% 171.15/26.14  | 
% 171.15/26.14  | BETA: splitting (48) gives:
% 171.15/26.14  | 
% 171.15/26.14  | Case 1:
% 171.15/26.14  | | 
% 171.15/26.14  | |   (78)  all_54_12 = e0
% 171.15/26.14  | | 
% 171.15/26.14  | | REF_CLOSE: (66), (70), (78) are inconsistent by sub-proof #559.
% 171.15/26.14  | | 
% 171.15/26.14  | Case 2:
% 171.15/26.14  | | 
% 171.15/26.14  | |   (79)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 171.15/26.14  | | 
% 171.15/26.14  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 171.15/26.14  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 171.15/26.14  | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 171.15/26.14  | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (44), (45),
% 171.15/26.14  | |            (46), (47), (49), (50), (51), (52), (53), (54), (55), (56), (57),
% 171.15/26.14  | |            (58), (59), (60), (61), (62), (63), (64), (65), (66), (67), (68),
% 171.15/26.14  | |            (69), (70), (71), (72), (73), (74), (75), (76), (77), (79) are
% 171.15/26.14  | |            inconsistent by sub-proof #138.
% 171.15/26.14  | | 
% 171.15/26.14  | End of split
% 171.15/26.14  | 
% 171.15/26.14  End of proof
% 171.15/26.14  
% 171.15/26.14  Sub-proof #138 shows that the following formulas are inconsistent:
% 171.15/26.14  ----------------------------------------------------------------
% 171.15/26.14    (1)   ~ (all_34_0 = e2) |  ~ (all_34_2 = e3)
% 171.15/26.14    (2)  all_56_12 = all_52_3
% 171.15/26.14    (3)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.15/26.14    (4)   ~ (all_10_2 = e0)
% 171.15/26.14    (5)   ~ (e3 = e1)
% 171.15/26.14    (6)   ~ (all_52_3 = all_14_2)
% 171.15/26.14    (7)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.15/26.14    (8)   ~ (all_52_12 = all_6_2)
% 171.15/26.14    (9)  all_56_15 = all_14_2
% 171.15/26.14    (10)   ~ (all_52_11 = all_14_2)
% 171.15/26.14    (11)   ~ (all_14_2 = e0)
% 171.15/26.14    (12)  op(e1, all_10_2) = all_58_10
% 171.15/26.14    (13)  op(e1, e1) = all_10_2
% 171.15/26.14    (14)  all_56_14 = all_52_11
% 171.15/26.14    (15)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.15/26.14    (16)  all_34_2 = all_10_2
% 171.15/26.14    (17)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.15/26.14    (18)  all_58_26 = all_10_2
% 171.15/26.14    (19)  all_58_31 = all_14_2
% 171.15/26.14    (20)   ~ (all_52_11 = all_10_2)
% 171.15/26.14    (21)   ~ (all_52_9 = all_52_13)
% 171.15/26.14    (22)   ~ (all_52_3 = all_6_2)
% 171.15/26.14    (23)  all_58_18 = e0
% 171.15/26.14    (24)   ~ (all_52_1 = all_6_2)
% 171.15/26.14    (25)  all_56_11 = all_52_14
% 171.15/26.14    (26)  all_56_0 = all_6_2
% 171.15/26.14    (27)   ~ (all_52_9 = all_10_2)
% 171.15/26.14    (28)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.15/26.14    (29)  all_58_30 = all_52_14
% 171.15/26.14    (30)  all_58_27 = all_52_11
% 171.15/26.14    (31)  all_58_17 = all_52_1
% 171.15/26.14    (32)  all_58_19 = all_52_3
% 171.15/26.14    (33)  all_56_9 = all_52_12
% 171.15/26.14    (34)   ~ (e3 = e2)
% 171.15/26.14    (35)   ~ (all_52_13 = all_14_2)
% 171.15/26.14    (36)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.15/26.14    (37)  all_58_16 = all_6_2
% 171.15/26.14    (38)  op(e0, e3) = all_52_3
% 171.15/26.14    (39)   ~ (all_52_12 = e0)
% 171.15/26.14    (40)  all_56_2 = all_52_1
% 171.15/26.14    (41)   ~ (e3 = e0)
% 171.15/26.14    (42)  all_58_29 = all_52_13
% 171.15/26.14    (43)   ~ (all_6_2 = e0)
% 171.15/26.14    (44)  op(e0, all_10_2) = all_10_0
% 171.15/26.14    (45)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 171.15/26.14    (46)   ~ (all_52_1 = all_52_13)
% 171.15/26.14    (47)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 171.15/26.14    (48)  all_54_10 = all_10_2
% 171.15/26.14    (49)  all_54_15 = all_14_2
% 171.15/26.14    (50)  op(all_10_2, e1) = e0
% 171.15/26.14    (51)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 171.15/26.14    (52)   ~ (all_52_1 = all_52_9)
% 171.15/26.14    (53)  all_56_6 = e0
% 171.15/26.14    (54)  all_56_13 = e0
% 171.15/26.14    (55)  all_54_0 = all_6_2
% 171.15/26.14    (56)  all_58_29 = e0
% 171.15/26.14    (57)   ~ (all_52_14 = all_10_2)
% 171.15/26.14    (58)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 171.15/26.14    (59)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 171.15/26.14    (60)  all_58_24 = e0
% 171.15/26.14    (61)   ~ (all_52_11 = e0)
% 171.15/26.14    (62)   ~ (all_52_14 = all_14_2)
% 171.15/26.14    (63)  all_58_25 = all_52_9
% 171.15/26.14    (64)  all_34_0 = all_10_0
% 171.15/26.14    (65)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.15/26.14            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.15/26.14    (66)  all_54_12 = all_52_3
% 171.15/26.14    (67)  op(e0, all_14_2) = all_58_15
% 171.15/26.14    (68)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 171.15/26.14    (69)  all_56_10 = all_52_13
% 171.15/26.14    (70)   ~ (all_52_3 = e0)
% 171.15/26.14    (71)   ~ (e2 = e0)
% 171.15/26.14    (72)   ~ (all_52_1 = all_52_3)
% 171.15/26.14    (73)   ~ (all_52_14 = e0)
% 171.15/26.14    (74)  all_58_28 = all_52_12
% 171.15/26.14    (75)   ~ (e1 = e0)
% 171.15/26.14    (76)  all_54_4 = all_52_1
% 171.15/26.14    (77)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 171.15/26.14  
% 171.15/26.14  Begin of proof
% 171.15/26.14  | 
% 171.15/26.14  | BETA: splitting (3) gives:
% 171.15/26.14  | 
% 171.15/26.14  | Case 1:
% 171.15/26.14  | | 
% 171.15/26.14  | |   (78)  all_54_0 = e0
% 171.15/26.14  | | 
% 171.15/26.14  | | REF_CLOSE: (43), (55), (78) are inconsistent by sub-proof #984.
% 171.15/26.14  | | 
% 171.15/26.14  | Case 2:
% 171.15/26.14  | | 
% 171.15/26.14  | |   (79)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 171.15/26.14  | | 
% 171.15/26.14  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 171.15/26.14  | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 171.15/26.14  | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 171.15/26.14  | |            (36), (37), (38), (39), (40), (41), (42), (43), (44), (45), (46),
% 171.15/26.14  | |            (47), (48), (49), (50), (51), (52), (53), (54), (55), (56), (57),
% 171.15/26.14  | |            (58), (59), (60), (61), (62), (63), (64), (65), (66), (67), (68),
% 171.15/26.14  | |            (69), (70), (71), (72), (73), (74), (75), (76), (77), (79) are
% 171.15/26.14  | |            inconsistent by sub-proof #364.
% 171.15/26.14  | | 
% 171.15/26.14  | End of split
% 171.15/26.14  | 
% 171.15/26.14  End of proof
% 171.15/26.14  
% 171.15/26.14  Sub-proof #139 shows that the following formulas are inconsistent:
% 171.15/26.14  ----------------------------------------------------------------
% 171.15/26.14    (1)   ~ (all_52_12 = all_14_2)
% 171.15/26.14    (2)  all_54_8 = all_52_2
% 171.15/26.14    (3)  all_56_1 = all_52_4
% 171.15/26.14    (4)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 171.15/26.14    (5)  all_56_12 = all_52_3
% 171.15/26.14    (6)  op(e1, e3) = all_52_2
% 171.15/26.14    (7)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.15/26.14    (8)  op(e1, all_52_14) = all_58_11
% 171.15/26.14    (9)   ~ (all_10_2 = e0)
% 171.15/26.14    (10)   ~ (all_52_8 = all_52_12)
% 171.15/26.14    (11)   ~ (e3 = e1)
% 171.15/26.14    (12)  all_58_23 = all_52_7
% 171.15/26.14    (13)   ~ (all_52_2 = all_6_2)
% 171.15/26.14    (14)  all_8_2 = all_6_2
% 171.15/26.14    (15)   ~ (all_52_4 = all_4_2)
% 171.15/26.14    (16)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.15/26.14    (17)  all_56_5 = all_52_9
% 171.15/26.14    (18)   ~ (all_52_3 = all_52_11)
% 171.15/26.14    (19)  op(all_6_2, e3) = all_6_1
% 171.15/26.14    (20)   ~ (all_52_12 = all_6_2)
% 171.15/26.14    (21)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 171.15/26.14    (22)   ~ (all_52_6 = all_4_2)
% 171.15/26.14    (23)  op(e1, e0) = all_52_14
% 171.15/26.14    (24)  all_56_15 = all_14_2
% 171.15/26.14    (25)  all_54_1 = all_52_4
% 171.15/26.14    (26)  op(all_10_2, e1) = all_10_1
% 171.15/26.14    (27)  op(e1, all_10_2) = all_58_10
% 171.15/26.14    (28)   ~ (all_52_9 = all_4_2)
% 171.15/26.14    (29)  op(e1, e1) = all_10_2
% 171.15/26.14    (30)  all_54_6 = all_52_9
% 171.15/26.14    (31)  all_56_14 = all_52_11
% 171.15/26.14    (32)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 171.15/26.14    (33)   ~ (all_52_13 = all_4_2)
% 171.15/26.14    (34)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.15/26.14    (35)  op(e0, all_52_3) = all_58_12
% 171.15/26.14    (36)  all_56_8 = all_10_2
% 171.15/26.14    (37)  op(e2, all_52_1) = all_58_4
% 171.15/26.14    (38)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.15/26.14    (39)  all_58_26 = all_10_2
% 171.15/26.14    (40)   ~ (all_52_4 = all_52_6)
% 171.15/26.14    (41)  all_58_31 = all_14_2
% 171.15/26.14    (42)   ~ (all_52_11 = all_10_2)
% 171.15/26.14    (43)   ~ (all_52_9 = all_52_13)
% 171.15/26.14    (44)   ~ (all_52_3 = all_6_2)
% 171.15/26.14    (45)   ~ (all_52_1 = all_6_2)
% 171.15/26.14    (46)  all_56_11 = all_52_14
% 171.15/26.14    (47)  op(e2, e1) = all_52_9
% 171.15/26.14    (48)   ~ (all_52_6 = all_52_7)
% 171.15/26.14    (49)   ~ (all_4_1 = e0)
% 171.15/26.14    (50)  all_56_0 = all_6_2
% 171.15/26.14    (51)   ~ (all_52_9 = all_10_2)
% 171.15/26.14    (52)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.15/26.14    (53)  all_58_30 = all_52_14
% 171.15/26.14    (54)  all_58_27 = all_52_11
% 171.15/26.14    (55)  all_54_14 = all_52_11
% 171.15/26.14    (56)  op(e3, e2) = all_52_4
% 171.15/26.14    (57)  op(all_4_2, e2) = all_4_1
% 171.15/26.14    (58)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 171.15/26.14    (59)  all_58_17 = all_52_1
% 171.15/26.14    (60)  op(e3, e1) = all_52_8
% 171.15/26.14    (61)  op(e2, all_4_2) = all_58_5
% 171.15/26.14    (62)  all_58_20 = e0
% 171.15/26.14    (63)  all_58_19 = all_52_3
% 171.15/26.14    (64)  all_56_9 = all_52_12
% 171.15/26.14    (65)   ~ (all_52_2 = all_52_6)
% 171.15/26.14    (66)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 171.15/26.14    (67)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 171.15/26.14    (68)  op(e2, e2) = all_4_2
% 171.15/26.14    (69)   ~ (e3 = e2)
% 171.15/26.14    (70)  op(e3, all_52_8) = all_58_2
% 171.15/26.14    (71)   ~ (all_52_4 = all_52_7)
% 171.15/26.14    (72)   ~ (e2 = e1)
% 171.15/26.14    (73)   ~ (all_52_6 = all_10_2)
% 171.15/26.14    (74)   ~ (all_52_7 = all_14_2)
% 171.15/26.14    (75)  all_56_1 = e0
% 171.15/26.14    (76)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 171.15/26.14    (77)   ~ (all_52_13 = all_14_2)
% 171.15/26.14    (78)   ~ (all_52_1 = all_4_2)
% 171.15/26.14    (79)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.15/26.14    (80)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.15/26.14    (81)  all_54_9 = all_52_6
% 171.15/26.14    (82)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 171.15/26.14    (83)   ~ (all_52_13 = all_52_14)
% 171.15/26.14    (84)  all_38_1 = all_10_1
% 171.15/26.14    (85)  op(e2, e3) = all_52_1
% 171.15/26.14    (86)  all_58_18 = all_52_2
% 171.15/26.14    (87)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.15/26.14    (88)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 171.15/26.14    (89)  all_58_16 = all_6_2
% 171.15/26.14    (90)  all_56_13 = all_52_7
% 171.15/26.14    (91)  op(e0, e3) = all_52_3
% 171.15/26.14    (92)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 171.15/26.14    (93)   ~ (all_52_8 = all_52_9)
% 171.15/26.14    (94)   ~ (all_52_4 = all_6_2)
% 171.15/26.14    (95)  all_56_2 = all_52_1
% 171.15/26.14    (96)   ~ (e3 = e0)
% 171.15/26.14    (97)  all_58_29 = all_52_13
% 171.15/26.14    (98)   ~ (all_52_1 = all_52_2)
% 171.15/26.14    (99)  op(e3, e2) = e0
% 171.15/26.14    (100)   ~ (all_4_2 = e0)
% 171.15/26.15    (101)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 171.15/26.15    (102)   ~ (all_6_2 = e0)
% 171.15/26.15    (103)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 171.15/26.15    (104)   ~ (all_52_6 = all_52_14)
% 171.15/26.15    (105)   ~ (all_52_7 = all_4_2)
% 171.15/26.15    (106)  all_56_4 = all_52_8
% 171.15/26.15    (107)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.15/26.15    (108)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 171.15/26.15    (109)   ~ (all_52_1 = all_52_13)
% 171.15/26.15    (110)  all_38_2 = all_10_2
% 171.15/26.15    (111)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 171.15/26.15    (112)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 171.15/26.15    (113)  all_58_20 = all_52_4
% 171.15/26.15    (114)  all_54_13 = all_52_7
% 171.15/26.15    (115)   ~ (all_52_7 = all_52_11)
% 171.15/26.15    (116)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 171.15/26.15    (117)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 171.15/26.15    (118)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 171.15/26.15    (119)   ~ (all_52_8 = all_52_11)
% 171.15/26.15    (120)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 171.15/26.15    (121)   ~ (all_52_8 = all_6_2)
% 171.15/26.15    (122)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 171.15/26.15    (123)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.15/26.15    (124)  all_56_6 = all_52_2
% 171.15/26.15    (125)   ~ (all_52_1 = all_52_9)
% 171.15/26.15    (126)   ~ (all_52_7 = e0)
% 171.15/26.15    (127)  all_58_24 = all_52_8
% 171.15/26.15    (128)   ~ (all_52_12 = all_52_14)
% 171.15/26.15    (129)   ~ (all_52_9 = all_52_11)
% 171.15/26.15    (130)  all_58_22 = all_52_6
% 171.15/26.15    (131)   ~ (all_38_1 = e3) |  ~ (all_38_2 = e2)
% 171.15/26.15    (132)   ~ (all_52_4 = all_52_12)
% 171.15/26.15    (133)  all_56_3 = all_4_2
% 171.15/26.15    (134)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 171.15/26.15    (135)  all_54_0 = all_6_2
% 171.15/26.15    (136)   ~ (all_52_14 = all_10_2)
% 171.15/26.15    (137)   ~ (all_52_2 = all_52_3)
% 171.15/26.15    (138)   ~ (all_52_4 = all_52_8)
% 171.15/26.15    (139)   ~ (all_52_14 = all_14_2)
% 171.15/26.15    (140)  all_58_25 = all_52_9
% 171.15/26.15    (141)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.15/26.15    (142)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.15/26.15             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.15/26.15    (143)   ~ (all_52_6 = e0)
% 171.15/26.15    (144)  all_54_12 = all_52_3
% 171.15/26.15    (145)   ~ (all_52_2 = all_52_14)
% 171.15/26.15    (146)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 171.15/26.15    (147)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.15/26.15    (148)  all_58_21 = all_4_2
% 171.15/26.15    (149)  all_56_10 = all_52_13
% 171.15/26.15    (150)  op(all_10_1, all_10_2) = e0
% 171.15/26.15    (151)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.15/26.15    (152)   ~ (e2 = e0)
% 171.15/26.15    (153)   ~ (all_52_1 = all_52_3)
% 171.15/26.15    (154)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 171.15/26.15    (155)  all_8_1 = all_6_1
% 171.15/26.15    (156)  all_58_28 = all_52_12
% 171.15/26.15    (157)   ~ (e1 = e0)
% 171.15/26.15    (158)  all_54_4 = all_52_1
% 171.15/26.15    (159)  all_56_7 = all_52_6
% 171.15/26.15    (160)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 171.15/26.15             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 171.15/26.15             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 171.15/26.15             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 171.15/26.15             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 171.15/26.15             (all_58_15 = e0))
% 171.15/26.15    (161)  all_54_5 = all_4_2
% 171.15/26.15    (162)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 171.15/26.15    (163)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 171.15/26.15    (164)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 171.15/26.15    (165)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 171.15/26.15           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 171.15/26.15           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.15/26.15           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 171.15/26.15           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.15/26.15           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 171.15/26.15           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.15/26.15           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 171.15/26.15           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 171.15/26.15           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 171.15/26.15             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 171.15/26.15             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 171.15/26.15             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 171.15/26.15             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 171.15/26.15             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 171.15/26.15             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 171.15/26.15             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 171.15/26.15             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 171.15/26.15             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 171.15/26.15             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 171.15/26.15             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 171.15/26.15             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 171.15/26.15             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 171.15/26.15             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 171.15/26.15             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 171.15/26.15             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 171.15/26.15           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 171.15/26.15           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 171.15/26.15           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 171.15/26.15             all_58_30 = e0 & e1 = e0)
% 171.15/26.15    (166)   ~ (all_52_2 = all_10_2)
% 171.15/26.15    (167)   ~ (all_10_1 = e0)
% 171.15/26.15    (168)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 171.15/26.15    (169)   ~ (all_52_12 = all_52_13)
% 171.15/26.15  
% 171.15/26.15  Begin of proof
% 171.15/26.15  | 
% 171.15/26.15  | BETA: splitting (117) gives:
% 171.15/26.15  | 
% 171.15/26.15  | Case 1:
% 171.15/26.15  | | 
% 171.15/26.15  | |   (170)  all_56_6 = e0
% 171.15/26.15  | | 
% 171.15/26.15  | | COMBINE_EQS: (124), (170) imply:
% 171.15/26.15  | |   (171)  all_52_2 = e0
% 171.15/26.15  | | 
% 171.15/26.15  | | COMBINE_EQS: (86), (171) imply:
% 171.15/26.15  | |   (172)  all_58_18 = e0
% 171.15/26.15  | | 
% 171.15/26.15  | | REDUCE: (98), (171) imply:
% 171.15/26.15  | |   (173)   ~ (all_52_1 = e0)
% 171.15/26.15  | | 
% 171.15/26.15  | | REDUCE: (137), (171) imply:
% 171.15/26.15  | |   (174)   ~ (all_52_3 = e0)
% 171.15/26.15  | | 
% 171.15/26.15  | | SIMP: (174) implies:
% 171.15/26.15  | |   (175)   ~ (all_52_3 = e0)
% 171.15/26.15  | | 
% 171.15/26.15  | | REDUCE: (13), (171) imply:
% 171.15/26.15  | |   (176)   ~ (all_6_2 = e0)
% 171.15/26.15  | | 
% 171.15/26.15  | | REF_CLOSE: (4), (5), (11), (12), (16), (17), (18), (20), (22), (24), (26),
% 171.15/26.15  | |            (28), (30), (31), (32), (33), (36), (37), (38), (39), (41), (43),
% 171.15/26.15  | |            (45), (46), (47), (49), (50), (51), (53), (57), (59), (62), (63),
% 171.15/26.15  | |            (64), (69), (72), (73), (75), (77), (78), (79), (82), (83), (84),
% 171.15/26.15  | |            (87), (89), (90), (95), (96), (97), (99), (100), (101), (102),
% 171.15/26.15  | |            (104), (106), (107), (109), (110), (111), (115), (118), (120),
% 171.15/26.15  | |            (121), (122), (125), (126), (128), (129), (130), (131), (133),
% 171.15/26.15  | |            (134), (139), (142), (146), (147), (148), (149), (151), (152),
% 171.15/26.15  | |            (156), (157), (158), (159), (161), (162), (165), (168), (169),
% 171.15/26.15  | |            (170), (172), (173), (175) are inconsistent by sub-proof #384.
% 171.15/26.15  | | 
% 171.15/26.15  | Case 2:
% 171.15/26.15  | | 
% 171.15/26.15  | |   (177)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 171.15/26.15  | | 
% 171.15/26.15  | | BETA: splitting (177) gives:
% 171.15/26.15  | | 
% 171.15/26.15  | | Case 1:
% 171.15/26.15  | | | 
% 171.15/26.15  | | |   (178)  all_56_7 = e0
% 171.15/26.15  | | | 
% 171.15/26.15  | | | COMBINE_EQS: (159), (178) imply:
% 171.15/26.15  | | |   (179)  all_52_6 = e0
% 171.15/26.15  | | | 
% 171.15/26.15  | | | REDUCE: (143), (179) imply:
% 171.15/26.15  | | |   (180)  $false
% 171.15/26.15  | | | 
% 171.15/26.15  | | | CLOSE: (180) is inconsistent.
% 171.15/26.15  | | | 
% 171.15/26.15  | | Case 2:
% 171.15/26.15  | | | 
% 171.15/26.15  | | |   (181)  all_56_8 = e0 | all_56_11 = e0
% 171.15/26.15  | | | 
% 171.15/26.15  | | | BETA: splitting (181) gives:
% 171.15/26.15  | | | 
% 171.15/26.15  | | | Case 1:
% 171.15/26.15  | | | | 
% 171.15/26.15  | | | |   (182)  all_56_8 = e0
% 171.15/26.15  | | | | 
% 171.15/26.15  | | | | COMBINE_EQS: (36), (182) imply:
% 171.15/26.15  | | | |   (183)  all_10_2 = e0
% 171.15/26.15  | | | | 
% 171.15/26.15  | | | | REDUCE: (9), (183) imply:
% 171.15/26.15  | | | |   (184)  $false
% 171.15/26.15  | | | | 
% 171.15/26.15  | | | | CLOSE: (184) is inconsistent.
% 171.15/26.15  | | | | 
% 171.15/26.15  | | | Case 2:
% 171.15/26.15  | | | | 
% 171.15/26.15  | | | |   (185)  all_56_11 = e0
% 171.15/26.15  | | | | 
% 171.15/26.15  | | | | COMBINE_EQS: (46), (185) imply:
% 171.15/26.15  | | | |   (186)  all_52_14 = e0
% 171.15/26.15  | | | | 
% 171.15/26.15  | | | | SIMP: (186) implies:
% 171.15/26.15  | | | |   (187)  all_52_14 = e0
% 171.15/26.15  | | | | 
% 171.15/26.15  | | | | REDUCE: (145), (187) imply:
% 171.15/26.15  | | | |   (188)   ~ (all_52_2 = e0)
% 171.15/26.15  | | | | 
% 171.15/26.15  | | | | REDUCE: (83), (187) imply:
% 171.15/26.15  | | | |   (189)   ~ (all_52_13 = e0)
% 171.15/26.15  | | | | 
% 171.15/26.15  | | | | REDUCE: (136), (187) imply:
% 171.15/26.15  | | | |   (190)   ~ (all_10_2 = e0)
% 171.15/26.15  | | | | 
% 171.15/26.15  | | | | BETA: splitting (107) gives:
% 171.15/26.15  | | | | 
% 171.15/26.15  | | | | Case 1:
% 171.15/26.15  | | | | | 
% 171.15/26.15  | | | | |   (191)  all_56_2 = e0
% 171.15/26.15  | | | | | 
% 171.15/26.15  | | | | | REF_CLOSE: (5), (7), (8), (9), (11), (12), (13), (16), (20), (22),
% 171.15/26.15  | | | | |            (23), (33), (35), (36), (38), (41), (44), (45), (46), (49),
% 171.15/26.15  | | | | |            (50), (53), (57), (59), (60), (61), (62), (63), (64), (65),
% 171.15/26.15  | | | | |            (68), (70), (75), (78), (79), (86), (87), (89), (91), (95),
% 171.15/26.15  | | | | |            (96), (97), (99), (106), (108), (111), (112), (118), (124),
% 171.15/26.15  | | | | |            (126), (130), (133), (134), (135), (137), (139), (142),
% 171.15/26.15  | | | | |            (143), (144), (145), (147), (148), (152), (153), (156),
% 171.15/26.15  | | | | |            (157), (159), (160), (161), (162), (168), (177), (191) are
% 171.15/26.15  | | | | |            inconsistent by sub-proof #184.
% 171.15/26.15  | | | | | 
% 171.15/26.15  | | | | Case 2:
% 171.15/26.15  | | | | | 
% 171.15/26.15  | | | | |   (192)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.15/26.15  | | | | | 
% 171.15/26.15  | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (10), (12), (13), (14),
% 171.15/26.15  | | | | |            (15), (16), (17), (19), (20), (21), (22), (24), (25), (26),
% 171.15/26.15  | | | | |            (27), (28), (29), (31), (33), (34), (36), (38), (39), (40),
% 171.15/26.15  | | | | |            (41), (42), (45), (46), (48), (49), (50), (51), (52), (53),
% 171.15/26.15  | | | | |            (54), (55), (56), (57), (58), (59), (63), (64), (65), (66),
% 171.15/26.15  | | | | |            (67), (69), (71), (72), (73), (74), (76), (77), (78), (79),
% 171.15/26.15  | | | | |            (80), (81), (82), (83), (85), (86), (87), (88), (89), (90),
% 171.15/26.15  | | | | |            (92), (93), (94), (95), (96), (97), (98), (100), (102),
% 171.15/26.15  | | | | |            (103), (104), (105), (106), (107), (109), (113), (114),
% 171.15/26.15  | | | | |            (115), (116), (117), (118), (119), (121), (122), (123),
% 171.15/26.15  | | | | |            (124), (125), (126), (127), (128), (129), (130), (132),
% 171.15/26.15  | | | | |            (133), (135), (136), (137), (138), (139), (140), (141),
% 171.15/26.15  | | | | |            (142), (145), (147), (148), (149), (150), (151), (152),
% 171.15/26.15  | | | | |            (153), (154), (155), (156), (157), (158), (159), (161),
% 171.15/26.15  | | | | |            (163), (164), (166), (167), (168), (169), (188), (189),
% 171.15/26.15  | | | | |            (192) are inconsistent by sub-proof #140.
% 171.15/26.15  | | | | | 
% 171.15/26.15  | | | | End of split
% 171.15/26.15  | | | | 
% 171.15/26.15  | | | End of split
% 171.15/26.15  | | | 
% 171.15/26.15  | | End of split
% 171.15/26.15  | | 
% 171.15/26.15  | End of split
% 171.15/26.15  | 
% 171.15/26.15  End of proof
% 171.15/26.15  
% 171.15/26.15  Sub-proof #140 shows that the following formulas are inconsistent:
% 171.15/26.15  ----------------------------------------------------------------
% 171.15/26.15    (1)   ~ (all_52_12 = all_14_2)
% 171.15/26.15    (2)  all_54_8 = all_52_2
% 171.15/26.15    (3)  all_56_1 = all_52_4
% 171.15/26.15    (4)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 171.15/26.15    (5)  all_56_12 = all_52_3
% 171.15/26.15    (6)  op(e1, e3) = all_52_2
% 171.15/26.15    (7)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.15/26.15    (8)   ~ (all_52_8 = all_52_12)
% 171.15/26.15    (9)  all_58_23 = all_52_7
% 171.15/26.15    (10)   ~ (all_52_2 = all_6_2)
% 171.15/26.15    (11)  all_8_2 = all_6_2
% 171.15/26.15    (12)   ~ (all_52_4 = all_4_2)
% 171.15/26.15    (13)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.15/26.15    (14)  all_56_5 = all_52_9
% 171.15/26.15    (15)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.15/26.15    (16)  op(all_6_2, e3) = all_6_1
% 171.15/26.15    (17)   ~ (all_52_12 = all_6_2)
% 171.15/26.15    (18)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 171.15/26.15    (19)   ~ (all_52_6 = all_4_2)
% 171.15/26.15    (20)  all_56_15 = all_14_2
% 171.15/26.15    (21)  all_54_1 = all_52_4
% 171.15/26.15    (22)  op(all_10_2, e1) = all_10_1
% 171.15/26.15    (23)  op(e1, all_10_2) = all_58_10
% 171.15/26.15    (24)   ~ (all_52_9 = all_4_2)
% 171.15/26.15    (25)  op(e1, e1) = all_10_2
% 171.15/26.15    (26)  all_56_14 = all_52_11
% 171.15/26.15    (27)   ~ (all_52_13 = all_4_2)
% 171.15/26.15    (28)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.15/26.15    (29)  all_56_8 = all_10_2
% 171.15/26.15    (30)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.15/26.15    (31)  all_58_26 = all_10_2
% 171.15/26.15    (32)   ~ (all_52_4 = all_52_6)
% 171.15/26.15    (33)  all_58_31 = all_14_2
% 171.15/26.15    (34)   ~ (all_52_11 = all_10_2)
% 171.15/26.15    (35)   ~ (all_52_1 = all_6_2)
% 171.15/26.15    (36)  all_56_11 = all_52_14
% 171.15/26.15    (37)   ~ (all_52_6 = all_52_7)
% 171.15/26.15    (38)   ~ (all_4_1 = e0)
% 171.15/26.15    (39)  all_56_0 = all_6_2
% 171.15/26.15    (40)   ~ (all_52_9 = all_10_2)
% 171.15/26.15    (41)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.15/26.15    (42)  all_58_30 = all_52_14
% 171.15/26.15    (43)  all_58_27 = all_52_11
% 171.15/26.15    (44)  all_54_14 = all_52_11
% 171.15/26.15    (45)  op(e3, e2) = all_52_4
% 171.15/26.15    (46)  op(all_4_2, e2) = all_4_1
% 171.15/26.15    (47)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 171.15/26.15    (48)  all_58_17 = all_52_1
% 171.15/26.15    (49)  all_58_19 = all_52_3
% 171.15/26.15    (50)  all_56_9 = all_52_12
% 171.15/26.15    (51)   ~ (all_52_2 = all_52_6)
% 171.15/26.15    (52)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 171.15/26.15    (53)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 171.15/26.15    (54)   ~ (e3 = e2)
% 171.15/26.15    (55)   ~ (all_52_4 = all_52_7)
% 171.15/26.15    (56)   ~ (e2 = e1)
% 171.15/26.15    (57)   ~ (all_52_6 = all_10_2)
% 171.15/26.15    (58)   ~ (all_52_2 = e0)
% 171.15/26.15    (59)   ~ (all_52_7 = all_14_2)
% 171.15/26.15    (60)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 171.15/26.15    (61)   ~ (all_52_13 = all_14_2)
% 171.15/26.15    (62)   ~ (all_52_1 = all_4_2)
% 171.15/26.15    (63)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.15/26.15    (64)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.15/26.15    (65)  all_54_9 = all_52_6
% 171.15/26.15    (66)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 171.15/26.15    (67)   ~ (all_52_13 = all_52_14)
% 171.15/26.15    (68)  op(e2, e3) = all_52_1
% 171.15/26.15    (69)  all_58_18 = all_52_2
% 171.15/26.15    (70)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.15/26.15    (71)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 171.15/26.15    (72)  all_58_16 = all_6_2
% 171.15/26.15    (73)  all_56_13 = all_52_7
% 171.15/26.15    (74)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 171.15/26.15    (75)   ~ (all_52_8 = all_52_9)
% 171.15/26.15    (76)   ~ (all_52_4 = all_6_2)
% 171.15/26.15    (77)  all_56_2 = all_52_1
% 171.15/26.15    (78)   ~ (e3 = e0)
% 171.15/26.15    (79)  all_58_29 = all_52_13
% 171.15/26.15    (80)   ~ (all_52_1 = all_52_2)
% 171.15/26.15    (81)   ~ (all_52_13 = e0)
% 171.15/26.15    (82)   ~ (all_4_2 = e0)
% 171.15/26.15    (83)   ~ (all_6_2 = e0)
% 171.15/26.15    (84)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 171.15/26.15    (85)   ~ (all_52_6 = all_52_14)
% 171.15/26.15    (86)   ~ (all_52_7 = all_4_2)
% 171.15/26.15    (87)  all_56_4 = all_52_8
% 171.15/26.15    (88)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.15/26.15    (89)   ~ (all_52_1 = all_52_13)
% 171.15/26.15    (90)  all_58_20 = all_52_4
% 171.15/26.15    (91)  all_54_13 = all_52_7
% 171.15/26.15    (92)   ~ (all_52_7 = all_52_11)
% 171.15/26.15    (93)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 171.15/26.15    (94)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 171.15/26.15    (95)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 171.15/26.15    (96)   ~ (all_52_8 = all_52_11)
% 171.15/26.15    (97)   ~ (all_52_8 = all_6_2)
% 171.15/26.15    (98)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 171.15/26.15    (99)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.15/26.15    (100)  all_56_6 = all_52_2
% 171.15/26.15    (101)   ~ (all_52_1 = all_52_9)
% 171.15/26.15    (102)   ~ (all_52_7 = e0)
% 171.15/26.15    (103)  all_58_24 = all_52_8
% 171.15/26.15    (104)   ~ (all_52_12 = all_52_14)
% 171.15/26.15    (105)   ~ (all_52_9 = all_52_11)
% 171.15/26.15    (106)  all_58_22 = all_52_6
% 171.15/26.15    (107)   ~ (all_52_4 = all_52_12)
% 171.15/26.15    (108)  all_56_3 = all_4_2
% 171.15/26.15    (109)  all_54_0 = all_6_2
% 171.15/26.15    (110)   ~ (all_52_14 = all_10_2)
% 171.15/26.15    (111)   ~ (all_52_2 = all_52_3)
% 171.15/26.15    (112)   ~ (all_52_4 = all_52_8)
% 171.15/26.15    (113)   ~ (all_52_14 = all_14_2)
% 171.15/26.15    (114)  all_58_25 = all_52_9
% 171.15/26.15    (115)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.15/26.15    (116)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.15/26.15             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.15/26.15    (117)   ~ (all_52_2 = all_52_14)
% 171.15/26.15    (118)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.15/26.15    (119)  all_58_21 = all_4_2
% 171.15/26.15    (120)  all_56_10 = all_52_13
% 171.15/26.15    (121)  op(all_10_1, all_10_2) = e0
% 171.15/26.15    (122)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.15/26.15    (123)   ~ (e2 = e0)
% 171.15/26.15    (124)   ~ (all_52_1 = all_52_3)
% 171.15/26.15    (125)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 171.15/26.15    (126)  all_8_1 = all_6_1
% 171.15/26.15    (127)  all_58_28 = all_52_12
% 171.15/26.15    (128)   ~ (e1 = e0)
% 171.15/26.15    (129)  all_54_4 = all_52_1
% 171.15/26.15    (130)  all_56_7 = all_52_6
% 171.15/26.15    (131)  all_54_5 = all_4_2
% 171.15/26.15    (132)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 171.15/26.15    (133)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 171.15/26.15    (134)   ~ (all_52_2 = all_10_2)
% 171.15/26.15    (135)   ~ (all_10_1 = e0)
% 171.15/26.15    (136)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 171.15/26.15    (137)   ~ (all_52_12 = all_52_13)
% 171.15/26.15  
% 171.15/26.15  Begin of proof
% 171.15/26.15  | 
% 171.15/26.15  | BETA: splitting (15) gives:
% 171.15/26.15  | 
% 171.15/26.15  | Case 1:
% 171.15/26.15  | | 
% 171.15/26.15  | |   (138)  all_56_3 = e0
% 171.15/26.15  | | 
% 171.15/26.15  | | COMBINE_EQS: (108), (138) imply:
% 171.15/26.15  | |   (139)  all_4_2 = e0
% 171.15/26.15  | | 
% 171.15/26.15  | | REDUCE: (82), (139) imply:
% 171.15/26.15  | |   (140)  $false
% 171.15/26.15  | | 
% 171.15/26.15  | | CLOSE: (140) is inconsistent.
% 171.15/26.15  | | 
% 171.15/26.15  | Case 2:
% 171.15/26.15  | | 
% 171.15/26.15  | |   (141)  all_56_5 = e0 | all_56_10 = e0
% 171.15/26.15  | | 
% 171.15/26.15  | | BETA: splitting (141) gives:
% 171.15/26.15  | | 
% 171.15/26.15  | | Case 1:
% 171.15/26.15  | | | 
% 171.15/26.15  | | |   (142)  all_56_5 = e0
% 171.15/26.15  | | | 
% 171.15/26.15  | | | COMBINE_EQS: (14), (142) imply:
% 171.15/26.15  | | |   (143)  all_52_9 = e0
% 171.15/26.15  | | | 
% 171.15/26.15  | | | COMBINE_EQS: (114), (143) imply:
% 171.15/26.15  | | |   (144)  all_58_25 = e0
% 171.15/26.15  | | | 
% 171.15/26.15  | | | REDUCE: (101), (143) imply:
% 171.15/26.15  | | |   (145)   ~ (all_52_1 = e0)
% 171.15/26.15  | | | 
% 171.15/26.15  | | | REDUCE: (105), (143) imply:
% 171.15/26.15  | | |   (146)   ~ (all_52_11 = e0)
% 171.15/26.15  | | | 
% 171.15/26.15  | | | SIMP: (146) implies:
% 171.15/26.15  | | |   (147)   ~ (all_52_11 = e0)
% 171.15/26.15  | | | 
% 171.15/26.15  | | | REDUCE: (40), (143) imply:
% 171.15/26.15  | | |   (148)   ~ (all_10_2 = e0)
% 171.15/26.15  | | | 
% 171.15/26.15  | | | SIMP: (148) implies:
% 171.15/26.15  | | |   (149)   ~ (all_10_2 = e0)
% 171.15/26.15  | | | 
% 171.15/26.15  | | | REDUCE: (24), (143) imply:
% 171.15/26.15  | | |   (150)   ~ (all_4_2 = e0)
% 171.15/26.15  | | | 
% 171.15/26.15  | | | BETA: splitting (4) gives:
% 171.15/26.15  | | | 
% 171.15/26.15  | | | Case 1:
% 171.15/26.15  | | | | 
% 171.15/26.15  | | | |   (151)  all_56_12 = e0
% 171.15/26.15  | | | | 
% 171.15/26.15  | | | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (9), (10), (11), (12), (14),
% 171.15/26.15  | | | |            (16), (17), (19), (20), (21), (24), (26), (27), (28), (29),
% 171.15/26.15  | | | |            (30), (31), (32), (33), (34), (35), (36), (37), (38), (39),
% 171.15/26.15  | | | |            (40), (41), (42), (43), (44), (45), (46), (47), (50), (51),
% 171.15/26.15  | | | |            (52), (53), (54), (55), (56), (57), (58), (59), (60), (61),
% 171.15/26.15  | | | |            (62), (63), (64), (66), (67), (68), (70), (71), (73), (74),
% 171.15/26.15  | | | |            (75), (76), (77), (78), (79), (80), (82), (83), (84), (85),
% 171.15/26.15  | | | |            (86), (87), (88), (89), (90), (91), (92), (94), (95), (96),
% 171.15/26.15  | | | |            (97), (98), (99), (100), (101), (102), (103), (104), (105),
% 171.15/26.15  | | | |            (106), (107), (108), (109), (110), (112), (113), (114),
% 171.15/26.15  | | | |            (116), (117), (118), (119), (120), (122), (123), (125),
% 171.15/26.15  | | | |            (126), (127), (128), (129), (130), (131), (133), (134),
% 171.15/26.15  | | | |            (136), (137), (145), (147), (149), (151) are inconsistent by
% 171.15/26.15  | | | |            sub-proof #205.
% 171.15/26.15  | | | | 
% 171.15/26.15  | | | Case 2:
% 171.15/26.15  | | | | 
% 171.15/26.15  | | | |   (152)   ~ (all_56_12 = e0)
% 171.15/26.15  | | | | 
% 171.15/26.15  | | | | REDUCE: (5), (152) imply:
% 171.15/26.15  | | | |   (153)   ~ (all_52_3 = e0)
% 171.15/26.15  | | | | 
% 171.15/26.15  | | | | BETA: splitting (93) gives:
% 171.15/26.15  | | | | 
% 171.15/26.15  | | | | Case 1:
% 171.15/26.15  | | | | | 
% 171.15/26.15  | | | | |   (154)  all_56_0 = e0
% 171.15/26.15  | | | | | 
% 171.15/26.15  | | | | | REF_CLOSE: (39), (83), (154) are inconsistent by sub-proof #939.
% 171.15/26.15  | | | | | 
% 171.15/26.15  | | | | Case 2:
% 171.15/26.15  | | | | | 
% 171.15/26.15  | | | | |   (155)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 171.15/26.15  | | | | | 
% 171.15/26.15  | | | | | REF_CLOSE: (3), (5), (9), (12), (13), (18), (19), (22), (23), (25),
% 171.15/26.15  | | | | |            (31), (32), (35), (38), (39), (41), (43), (45), (46), (48),
% 171.15/26.15  | | | | |            (49), (51), (54), (55), (57), (62), (65), (69), (70), (71),
% 171.15/26.15  | | | | |            (72), (73), (77), (78), (82), (90), (95), (97), (100),
% 171.15/26.15  | | | | |            (102), (103), (106), (108), (111), (115), (116), (119),
% 171.15/26.15  | | | | |            (121), (123), (124), (128), (130), (131), (132), (135),
% 171.15/26.15  | | | | |            (136), (144), (145), (147), (153), (155) are inconsistent
% 171.15/26.15  | | | | |            by sub-proof #479.
% 171.15/26.15  | | | | | 
% 171.15/26.15  | | | | End of split
% 171.15/26.15  | | | | 
% 171.15/26.15  | | | End of split
% 171.15/26.15  | | | 
% 171.15/26.15  | | Case 2:
% 171.15/26.15  | | | 
% 171.15/26.15  | | |   (156)  all_56_10 = e0
% 171.15/26.15  | | | 
% 171.15/26.15  | | | REF_CLOSE: (81), (120), (156) are inconsistent by sub-proof #943.
% 171.15/26.15  | | | 
% 171.15/26.15  | | End of split
% 171.15/26.15  | | 
% 171.15/26.15  | End of split
% 171.15/26.15  | 
% 171.15/26.15  End of proof
% 171.15/26.15  
% 171.15/26.15  Sub-proof #141 shows that the following formulas are inconsistent:
% 171.15/26.15  ----------------------------------------------------------------
% 171.15/26.15    (1)  all_56_1 = all_52_4
% 171.15/26.15    (2)  all_56_12 = all_52_3
% 171.15/26.15    (3)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.15/26.15    (4)   ~ (all_52_8 = all_52_12)
% 171.15/26.15    (5)   ~ (e3 = e1)
% 171.15/26.15    (6)  all_58_23 = all_52_7
% 171.15/26.15    (7)   ~ (all_52_2 = all_6_2)
% 171.15/26.15    (8)   ~ (all_52_3 = all_14_2)
% 171.15/26.15    (9)   ~ (all_52_4 = all_4_2)
% 171.15/26.15    (10)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.15/26.15    (11)  all_56_15 = all_14_2
% 171.15/26.15    (12)  op(e3, all_52_4) = all_58_1
% 171.15/26.15    (13)  all_54_1 = all_52_4
% 171.15/26.15    (14)  op(all_10_2, e1) = all_10_1
% 171.15/26.15    (15)   ~ (all_14_2 = e0)
% 171.15/26.15    (16)   ~ (all_52_9 = all_4_2)
% 171.15/26.15    (17)  all_54_6 = all_52_9
% 171.15/26.15    (18)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 171.15/26.15    (19)   ~ (all_52_13 = all_4_2)
% 171.15/26.15    (20)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.15/26.15    (21)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.15/26.15    (22)   ~ (all_52_9 = e0)
% 171.15/26.15    (23)  all_58_26 = all_10_2
% 171.15/26.15    (24)  all_58_31 = all_14_2
% 171.15/26.15    (25)   ~ (all_52_9 = all_52_13)
% 171.15/26.15    (26)   ~ (all_52_3 = all_6_2)
% 171.15/26.15    (27)   ~ (all_52_4 = e0)
% 171.15/26.15    (28)  all_56_9 = e0
% 171.15/26.15    (29)  all_54_2 = all_52_8
% 171.15/26.15    (30)  all_56_11 = all_52_14
% 171.15/26.15    (31)  all_56_0 = all_6_2
% 171.15/26.15    (32)  all_58_30 = all_52_14
% 171.15/26.15    (33)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 171.15/26.15    (34)  op(e3, e1) = all_52_8
% 171.15/26.15    (35)   ~ (all_22_1 = e2) |  ~ (all_22_2 = e3)
% 171.15/26.15    (36)  all_58_19 = all_52_3
% 171.15/26.15    (37)  all_58_22 = e0
% 171.15/26.15    (38)  all_56_2 = e0
% 171.15/26.15    (39)  all_22_1 = all_10_1
% 171.15/26.15    (40)   ~ (e3 = e2)
% 171.15/26.15    (41)   ~ (all_52_4 = all_52_7)
% 171.15/26.15    (42)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 171.15/26.15    (43)   ~ (all_52_2 = e0)
% 171.15/26.15    (44)   ~ (all_52_7 = all_14_2)
% 171.15/26.15    (45)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 171.15/26.15    (46)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.15/26.15    (47)  all_58_28 = e0
% 171.15/26.15    (48)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 171.15/26.16    (49)   ~ (all_52_13 = all_52_14)
% 171.15/26.16    (50)  all_58_18 = all_52_2
% 171.15/26.16    (51)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.15/26.16    (52)  all_58_16 = all_6_2
% 171.15/26.16    (53)   ~ (all_52_4 = all_6_2)
% 171.15/26.16    (54)  all_58_29 = all_52_13
% 171.15/26.16    (55)   ~ (all_52_13 = e0)
% 171.15/26.16    (56)   ~ (all_4_2 = e0)
% 171.15/26.16    (57)   ~ (all_6_2 = e0)
% 171.15/26.16    (58)   ~ (all_52_7 = all_4_2)
% 171.15/26.16    (59)   ~ (all_52_8 = all_10_2)
% 171.15/26.16    (60)  all_56_4 = all_52_8
% 171.15/26.16    (61)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 171.15/26.16    (62)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 171.15/26.16    (63)  all_58_20 = all_52_4
% 171.15/26.16    (64)  all_54_10 = all_10_2
% 171.15/26.16    (65)  all_54_13 = all_52_7
% 171.15/26.16    (66)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 171.15/26.16    (67)  all_58_17 = e0
% 171.15/26.16    (68)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 171.15/26.16    (69)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 171.15/26.16    (70)   ~ (all_52_8 = all_6_2)
% 171.15/26.16    (71)  all_56_6 = all_52_2
% 171.15/26.16    (72)   ~ (all_52_7 = e0)
% 171.15/26.16    (73)  all_22_2 = all_10_2
% 171.15/26.16    (74)  all_58_27 = e0
% 171.15/26.16    (75)   ~ (all_52_4 = all_52_12)
% 171.15/26.16    (76)  all_54_0 = all_6_2
% 171.15/26.16    (77)   ~ (all_52_14 = all_10_2)
% 171.15/26.16    (78)   ~ (all_52_2 = all_52_3)
% 171.15/26.16    (79)   ~ (all_52_4 = all_52_8)
% 171.15/26.16    (80)  all_58_25 = all_52_9
% 171.15/26.16    (81)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.15/26.16            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.15/26.16    (82)  all_54_12 = all_52_3
% 171.15/26.16    (83)   ~ (all_52_2 = all_52_14)
% 171.15/26.16    (84)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.15/26.16    (85)  all_58_21 = all_4_2
% 171.15/26.16    (86)  all_56_10 = all_52_13
% 171.15/26.16    (87)   ~ (all_52_3 = e0)
% 171.15/26.16    (88)   ~ (e2 = e0)
% 171.15/26.16    (89)  all_58_28 = all_52_12
% 171.15/26.16    (90)   ~ (e1 = e0)
% 171.15/26.16    (91)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 171.15/26.16    (92)   ~ (all_52_8 = e0)
% 171.15/26.16    (93)  all_54_5 = all_4_2
% 171.15/26.16    (94)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 171.15/26.16          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 171.15/26.16          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.15/26.16          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 171.15/26.16          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.15/26.16          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 171.15/26.16          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.15/26.16          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 171.15/26.16          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 171.15/26.16          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 171.15/26.16            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 171.15/26.16            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 171.15/26.16            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 171.15/26.16            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 171.15/26.16            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 171.15/26.16            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 171.15/26.16            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 171.15/26.16            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 171.15/26.16            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 171.15/26.16            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 171.15/26.16            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 171.15/26.16            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 171.15/26.16            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 171.15/26.16            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 171.15/26.16            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 171.15/26.16            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 171.15/26.16          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 171.15/26.16          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 171.15/26.16          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 171.15/26.16            all_58_30 = e0 & e1 = e0)
% 171.15/26.16    (95)   ~ (all_52_2 = all_10_2)
% 171.15/26.16    (96)  all_56_0 = e3 | all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3
% 171.15/26.16    (97)  all_54_11 = all_52_14
% 171.15/26.16    (98)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 171.15/26.16  
% 171.15/26.16  Begin of proof
% 171.15/26.16  | 
% 171.15/26.16  | BETA: splitting (62) gives:
% 171.15/26.16  | 
% 171.15/26.16  | Case 1:
% 171.15/26.16  | | 
% 171.15/26.16  | |   (99)  all_54_12 = e0
% 171.15/26.16  | | 
% 171.15/26.16  | | COMBINE_EQS: (82), (99) imply:
% 171.15/26.16  | |   (100)  all_52_3 = e0
% 171.15/26.16  | | 
% 171.15/26.16  | | REDUCE: (87), (100) imply:
% 171.15/26.16  | |   (101)  $false
% 171.15/26.16  | | 
% 171.15/26.16  | | CLOSE: (101) is inconsistent.
% 171.15/26.16  | | 
% 171.15/26.16  | Case 2:
% 171.15/26.16  | | 
% 171.15/26.16  | |   (102)   ~ (all_54_12 = e0)
% 171.15/26.16  | |   (103)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 171.15/26.16  | | 
% 171.15/26.16  | | BETA: splitting (18) gives:
% 171.15/26.16  | | 
% 171.15/26.16  | | Case 1:
% 171.15/26.16  | | | 
% 171.15/26.16  | | |   (104)  all_54_6 = e0
% 171.15/26.16  | | | 
% 171.15/26.16  | | | COMBINE_EQS: (17), (104) imply:
% 171.15/26.16  | | |   (105)  all_52_9 = e0
% 171.15/26.16  | | | 
% 171.35/26.16  | | | REDUCE: (22), (105) imply:
% 171.35/26.16  | | |   (106)  $false
% 171.35/26.16  | | | 
% 171.35/26.16  | | | CLOSE: (106) is inconsistent.
% 171.35/26.16  | | | 
% 171.35/26.16  | | Case 2:
% 171.35/26.16  | | | 
% 171.35/26.16  | | |   (107)   ~ (all_54_6 = e0)
% 171.35/26.16  | | |   (108)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 171.35/26.16  | | | 
% 171.35/26.16  | | | BETA: splitting (3) gives:
% 171.35/26.16  | | | 
% 171.35/26.16  | | | Case 1:
% 171.35/26.16  | | | | 
% 171.35/26.16  | | | |   (109)  all_54_0 = e0
% 171.35/26.16  | | | | 
% 171.35/26.16  | | | | REF_CLOSE: (57), (76), (109) are inconsistent by sub-proof #984.
% 171.35/26.16  | | | | 
% 171.35/26.16  | | | Case 2:
% 171.35/26.16  | | | | 
% 171.35/26.16  | | | |   (110)   ~ (all_54_0 = e0)
% 171.35/26.16  | | | |   (111)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 171.35/26.16  | | | | 
% 171.35/26.16  | | | | BETA: splitting (21) gives:
% 171.35/26.16  | | | | 
% 171.35/26.16  | | | | Case 1:
% 171.35/26.16  | | | | | 
% 171.35/26.16  | | | | |   (112)  all_58_31 = e0
% 171.35/26.16  | | | | | 
% 171.35/26.16  | | | | | COMBINE_EQS: (24), (112) imply:
% 171.35/26.16  | | | | |   (113)  all_14_2 = e0
% 171.35/26.16  | | | | | 
% 171.35/26.16  | | | | | REDUCE: (15), (113) imply:
% 171.35/26.16  | | | | |   (114)  $false
% 171.35/26.16  | | | | | 
% 171.35/26.16  | | | | | CLOSE: (114) is inconsistent.
% 171.35/26.16  | | | | | 
% 171.35/26.16  | | | | Case 2:
% 171.35/26.16  | | | | | 
% 171.35/26.16  | | | | |   (115)   ~ (all_58_31 = e0)
% 171.35/26.16  | | | | |   (116)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 171.35/26.16  | | | | | 
% 171.35/26.16  | | | | | BETA: splitting (10) gives:
% 171.35/26.16  | | | | | 
% 171.35/26.16  | | | | | Case 1:
% 171.35/26.16  | | | | | | 
% 171.35/26.16  | | | | | |   (117)  all_58_19 = e0
% 171.35/26.16  | | | | | | 
% 171.35/26.16  | | | | | | COMBINE_EQS: (36), (117) imply:
% 171.35/26.16  | | | | | |   (118)  all_52_3 = e0
% 171.35/26.16  | | | | | | 
% 171.35/26.16  | | | | | | REDUCE: (87), (118) imply:
% 171.35/26.16  | | | | | |   (119)  $false
% 171.35/26.16  | | | | | | 
% 171.35/26.16  | | | | | | CLOSE: (119) is inconsistent.
% 171.35/26.16  | | | | | | 
% 171.35/26.16  | | | | | Case 2:
% 171.35/26.16  | | | | | | 
% 171.35/26.16  | | | | | |   (120)   ~ (all_58_19 = e0)
% 171.35/26.16  | | | | | |   (121)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 171.35/26.16  | | | | | | 
% 171.35/26.16  | | | | | | BETA: splitting (69) gives:
% 171.35/26.16  | | | | | | 
% 171.35/26.16  | | | | | | Case 1:
% 171.35/26.16  | | | | | | | 
% 171.35/26.16  | | | | | | |   (122)  all_58_23 = e0
% 171.35/26.16  | | | | | | | 
% 171.35/26.16  | | | | | | | COMBINE_EQS: (6), (122) imply:
% 171.35/26.16  | | | | | | |   (123)  all_52_7 = e0
% 171.35/26.16  | | | | | | | 
% 171.35/26.16  | | | | | | | REDUCE: (72), (123) imply:
% 171.35/26.16  | | | | | | |   (124)  $false
% 171.35/26.16  | | | | | | | 
% 171.35/26.16  | | | | | | | CLOSE: (124) is inconsistent.
% 171.35/26.16  | | | | | | | 
% 171.35/26.16  | | | | | | Case 2:
% 171.35/26.16  | | | | | | | 
% 171.35/26.16  | | | | | | |   (125)   ~ (all_58_23 = e0)
% 171.35/26.16  | | | | | | |   (126)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 171.35/26.16  | | | | | | | 
% 171.35/26.16  | | | | | | | BETA: splitting (91) gives:
% 171.35/26.16  | | | | | | | 
% 171.35/26.16  | | | | | | | Case 1:
% 171.35/26.16  | | | | | | | | 
% 171.35/26.16  | | | | | | | |   (127)  all_56_1 = e2
% 171.35/26.16  | | | | | | | | 
% 171.35/26.16  | | | | | | | | COMBINE_EQS: (1), (127) imply:
% 171.35/26.16  | | | | | | | |   (128)  all_52_4 = e2
% 171.35/26.16  | | | | | | | | 
% 171.35/26.16  | | | | | | | | COMBINE_EQS: (63), (128) imply:
% 171.35/26.16  | | | | | | | |   (129)  all_58_20 = e2
% 171.35/26.16  | | | | | | | | 
% 171.35/26.16  | | | | | | | | REDUCE: (9), (128) imply:
% 171.35/26.16  | | | | | | | |   (130)   ~ (all_4_2 = e2)
% 171.35/26.16  | | | | | | | | 
% 171.35/26.16  | | | | | | | | SIMP: (130) implies:
% 171.35/26.16  | | | | | | | |   (131)   ~ (all_4_2 = e2)
% 171.35/26.16  | | | | | | | | 
% 171.35/26.16  | | | | | | | | BETA: splitting (126) gives:
% 171.35/26.16  | | | | | | | | 
% 171.35/26.16  | | | | | | | | Case 1:
% 171.35/26.16  | | | | | | | | | 
% 171.35/26.16  | | | | | | | | |   (132)  all_58_22 = e1
% 171.35/26.16  | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | REF_CLOSE: (37), (90), (132) are inconsistent by sub-proof
% 171.35/26.16  | | | | | | | | |            #923.
% 171.35/26.16  | | | | | | | | | 
% 171.35/26.16  | | | | | | | | Case 2:
% 171.35/26.16  | | | | | | | | | 
% 171.35/26.16  | | | | | | | | |   (133)  all_58_20 = e3 | all_58_21 = e2
% 171.35/26.16  | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | REF_CLOSE: (40), (85), (129), (131), (133) are inconsistent by
% 171.35/26.16  | | | | | | | | |            sub-proof #212.
% 171.35/26.16  | | | | | | | | | 
% 171.35/26.16  | | | | | | | | End of split
% 171.35/26.16  | | | | | | | | 
% 171.35/26.16  | | | | | | | Case 2:
% 171.35/26.16  | | | | | | | | 
% 171.35/26.16  | | | | | | | |   (134)   ~ (all_56_1 = e2)
% 171.35/26.16  | | | | | | | | 
% 171.35/26.16  | | | | | | | | REDUCE: (1), (134) imply:
% 171.35/26.16  | | | | | | | |   (135)   ~ (all_52_4 = e2)
% 171.35/26.16  | | | | | | | | 
% 171.35/26.16  | | | | | | | | BETA: splitting (45) gives:
% 171.35/26.16  | | | | | | | | 
% 171.35/26.16  | | | | | | | | Case 1:
% 171.35/26.16  | | | | | | | | | 
% 171.35/26.16  | | | | | | | | |   (136)  all_56_0 = e2
% 171.35/26.16  | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | COMBINE_EQS: (31), (136) imply:
% 171.35/26.16  | | | | | | | | |   (137)  all_6_2 = e2
% 171.35/26.16  | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | REDUCE: (70), (137) imply:
% 171.35/26.16  | | | | | | | | |   (138)   ~ (all_52_8 = e2)
% 171.35/26.16  | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | REF_CLOSE: (1), (4), (9), (13), (15), (16), (17), (19), (22),
% 171.35/26.16  | | | | | | | | |            (23), (24), (25), (26), (27), (28), (29), (31),
% 171.35/26.16  | | | | | | | | |            (32), (36), (37), (40), (43), (45), (47), (49),
% 171.35/26.16  | | | | | | | | |            (50), (52), (54), (55), (56), (57), (60), (63),
% 171.35/26.16  | | | | | | | | |            (66), (67), (68), (70), (74), (75), (78), (79),
% 171.35/26.16  | | | | | | | | |            (80), (82), (83), (84), (85), (87), (88), (89),
% 171.35/26.16  | | | | | | | | |            (90), (92), (93), (94), (95), (97), (98), (103),
% 171.35/26.16  | | | | | | | | |            (108), (116), (121), (126), (138) are inconsistent
% 171.35/26.16  | | | | | | | | |            by sub-proof #143.
% 171.35/26.16  | | | | | | | | | 
% 171.35/26.16  | | | | | | | | Case 2:
% 171.35/26.16  | | | | | | | | | 
% 171.35/26.16  | | | | | | | | |   (139)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 171.35/26.16  | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | BETA: splitting (139) gives:
% 171.35/26.16  | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | Case 1:
% 171.35/26.16  | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | |   (140)  all_56_1 = e2
% 171.35/26.16  | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | COMBINE_EQS: (1), (140) imply:
% 171.35/26.16  | | | | | | | | | |   (141)  all_52_4 = e2
% 171.35/26.16  | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | REDUCE: (135), (141) imply:
% 171.35/26.16  | | | | | | | | | |   (142)  $false
% 171.35/26.16  | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | CLOSE: (142) is inconsistent.
% 171.35/26.16  | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | Case 2:
% 171.35/26.16  | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | |   (143)  all_56_4 = e2 | all_56_9 = e2
% 171.35/26.16  | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | BETA: splitting (143) gives:
% 171.35/26.16  | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | Case 1:
% 171.35/26.16  | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | |   (144)  all_56_4 = e2
% 171.35/26.16  | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | COMBINE_EQS: (60), (144) imply:
% 171.35/26.16  | | | | | | | | | | |   (145)  all_52_8 = e2
% 171.35/26.16  | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | REDUCE: (59), (145) imply:
% 171.35/26.16  | | | | | | | | | | |   (146)   ~ (all_10_2 = e2)
% 171.35/26.16  | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | SIMP: (146) implies:
% 171.35/26.16  | | | | | | | | | | |   (147)   ~ (all_10_2 = e2)
% 171.35/26.16  | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | REDUCE: (70), (145) imply:
% 171.35/26.16  | | | | | | | | | | |   (148)   ~ (all_6_2 = e2)
% 171.35/26.16  | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | SIMP: (148) implies:
% 171.35/26.16  | | | | | | | | | | |   (149)   ~ (all_6_2 = e2)
% 171.35/26.16  | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | REDUCE: (34), (145) imply:
% 171.35/26.16  | | | | | | | | | | |   (150)  op(e3, e1) = e2
% 171.35/26.16  | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | BETA: splitting (96) gives:
% 171.35/26.16  | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | Case 1:
% 171.35/26.16  | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | |   (151)  all_56_0 = e3
% 171.35/26.16  | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | COMBINE_EQS: (31), (151) imply:
% 171.35/26.16  | | | | | | | | | | | |   (152)  all_6_2 = e3
% 171.35/26.16  | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | REDUCE: (53), (152) imply:
% 171.35/26.16  | | | | | | | | | | | |   (153)   ~ (all_52_4 = e3)
% 171.35/26.16  | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | REDUCE: (57), (152) imply:
% 171.35/26.16  | | | | | | | | | | | |   (154)   ~ (e3 = e0)
% 171.35/26.16  | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | BETA: splitting (68) gives:
% 171.35/26.16  | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | Case 1:
% 171.35/26.16  | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | |   (155)  all_54_1 = e1
% 171.35/26.16  | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | COMBINE_EQS: (13), (155) imply:
% 171.35/26.16  | | | | | | | | | | | | |   (156)  all_52_4 = e1
% 171.35/26.16  | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | SIMP: (156) implies:
% 171.35/26.16  | | | | | | | | | | | | |   (157)  all_52_4 = e1
% 171.35/26.16  | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | COMBINE_EQS: (63), (157) imply:
% 171.35/26.16  | | | | | | | | | | | | |   (158)  all_58_20 = e1
% 171.35/26.16  | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | REDUCE: (153), (157) imply:
% 171.35/26.16  | | | | | | | | | | | | |   (159)   ~ (e3 = e1)
% 171.35/26.16  | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | REDUCE: (12), (157) imply:
% 171.35/26.16  | | | | | | | | | | | | |   (160)  op(e3, e1) = all_58_1
% 171.35/26.16  | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | BETA: splitting (126) gives:
% 171.35/26.16  | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | Case 1:
% 171.35/26.16  | | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | |   (161)  all_58_22 = e1
% 171.35/26.16  | | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | | REF_CLOSE: (37), (90), (161) are inconsistent by sub-proof
% 171.35/26.16  | | | | | | | | | | | | | |            #923.
% 171.35/26.16  | | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | Case 2:
% 171.35/26.16  | | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | |   (162)  all_58_20 = e3 | all_58_21 = e2
% 171.35/26.16  | | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 171.35/26.16  | | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | | Case 1:
% 171.35/26.16  | | | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | | |   (163)  all_58_21 = e2
% 171.35/26.16  | | | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | | | COMBINE_EQS: (85), (163) imply:
% 171.35/26.16  | | | | | | | | | | | | | | |   (164)  all_4_2 = e2
% 171.35/26.16  | | | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | | | REDUCE: (19), (164) imply:
% 171.35/26.16  | | | | | | | | | | | | | | |   (165)   ~ (all_52_13 = e2)
% 171.35/26.16  | | | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | | | REF_CLOSE: (14), (32), (35), (39), (47), (54), (61), (64),
% 171.35/26.16  | | | | | | | | | | | | | | |            (73), (77), (81), (116), (147), (150), (154),
% 171.35/26.16  | | | | | | | | | | | | | | |            (160), (165) are inconsistent by sub-proof #471.
% 171.35/26.16  | | | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | | Case 2:
% 171.35/26.16  | | | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | | |   (166)  all_58_20 = e3
% 171.35/26.16  | | | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | | | REF_CLOSE: (5), (158), (166) are inconsistent by sub-proof
% 171.35/26.16  | | | | | | | | | | | | | | |            #350.
% 171.35/26.16  | | | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | | End of split
% 171.35/26.16  | | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | End of split
% 171.35/26.16  | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | Case 2:
% 171.35/26.16  | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | |   (167)  all_54_1 = e3 | all_54_1 = e2
% 171.35/26.16  | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | REF_CLOSE: (13), (135), (153), (167) are inconsistent by
% 171.35/26.16  | | | | | | | | | | | | |            sub-proof #863.
% 171.35/26.16  | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | End of split
% 171.35/26.16  | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | Case 2:
% 171.35/26.16  | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | |   (168)   ~ (all_56_0 = e3)
% 171.35/26.16  | | | | | | | | | | | |   (169)  all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3
% 171.35/26.16  | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | REDUCE: (31), (168) imply:
% 171.35/26.16  | | | | | | | | | | | |   (170)   ~ (all_6_2 = e3)
% 171.35/26.16  | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | BETA: splitting (169) gives:
% 171.35/26.16  | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | Case 1:
% 171.35/26.16  | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | |   (171)  all_56_1 = e3
% 171.35/26.16  | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | COMBINE_EQS: (1), (171) imply:
% 171.35/26.16  | | | | | | | | | | | | |   (172)  all_52_4 = e3
% 171.35/26.16  | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | REDUCE: (41), (172) imply:
% 171.35/26.16  | | | | | | | | | | | | |   (173)   ~ (all_52_7 = e3)
% 171.35/26.16  | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | SIMP: (173) implies:
% 171.35/26.16  | | | | | | | | | | | | |   (174)   ~ (all_52_7 = e3)
% 171.35/26.16  | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | REDUCE: (53), (172) imply:
% 171.35/26.16  | | | | | | | | | | | | |   (175)   ~ (all_6_2 = e3)
% 171.35/26.16  | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | REDUCE: (27), (172) imply:
% 171.35/26.16  | | | | | | | | | | | | |   (176)   ~ (e3 = e0)
% 171.35/26.16  | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | REF_CLOSE: (2), (5), (7), (8), (11), (15), (20), (23), (24),
% 171.35/26.16  | | | | | | | | | | | | |            (28), (30), (31), (32), (33), (36), (37), (38),
% 171.35/26.16  | | | | | | | | | | | | |            (42), (43), (44), (45), (47), (48), (50), (51),
% 171.35/26.16  | | | | | | | | | | | | |            (52), (54), (55), (58), (65), (67), (71), (72),
% 171.35/26.16  | | | | | | | | | | | | |            (74), (76), (78), (83), (85), (86), (87), (88),
% 171.35/26.16  | | | | | | | | | | | | |            (94), (95), (111), (116), (121), (170), (174),
% 171.35/26.16  | | | | | | | | | | | | |            (176) are inconsistent by sub-proof #339.
% 171.35/26.16  | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | Case 2:
% 171.35/26.16  | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | |   (177)   ~ (all_56_1 = e3)
% 171.35/26.16  | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | REDUCE: (1), (177) imply:
% 171.35/26.16  | | | | | | | | | | | | |   (178)   ~ (all_52_4 = e3)
% 171.35/26.16  | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | | REF_CLOSE: (13), (31), (46), (53), (68), (76), (111), (135),
% 171.35/26.16  | | | | | | | | | | | | |            (149), (170), (178) are inconsistent by sub-proof
% 171.35/26.16  | | | | | | | | | | | | |            #201.
% 171.35/26.16  | | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | | End of split
% 171.35/26.16  | | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | End of split
% 171.35/26.16  | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | Case 2:
% 171.35/26.16  | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | |   (179)  all_56_9 = e2
% 171.35/26.16  | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | COMBINE_EQS: (28), (179) imply:
% 171.35/26.16  | | | | | | | | | | |   (180)  e2 = e0
% 171.35/26.16  | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | REDUCE: (88), (180) imply:
% 171.35/26.16  | | | | | | | | | | |   (181)  $false
% 171.35/26.16  | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | | CLOSE: (181) is inconsistent.
% 171.35/26.16  | | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | | End of split
% 171.35/26.16  | | | | | | | | | | 
% 171.35/26.16  | | | | | | | | | End of split
% 171.35/26.16  | | | | | | | | | 
% 171.35/26.16  | | | | | | | | End of split
% 171.35/26.16  | | | | | | | | 
% 171.35/26.16  | | | | | | | End of split
% 171.35/26.16  | | | | | | | 
% 171.35/26.16  | | | | | | End of split
% 171.35/26.16  | | | | | | 
% 171.35/26.16  | | | | | End of split
% 171.35/26.16  | | | | | 
% 171.35/26.16  | | | | End of split
% 171.35/26.16  | | | | 
% 171.35/26.16  | | | End of split
% 171.35/26.16  | | | 
% 171.35/26.16  | | End of split
% 171.35/26.16  | | 
% 171.35/26.16  | End of split
% 171.35/26.16  | 
% 171.35/26.16  End of proof
% 171.35/26.16  
% 171.35/26.16  Sub-proof #142 shows that the following formulas are inconsistent:
% 171.35/26.16  ----------------------------------------------------------------
% 171.35/26.16    (1)  all_54_8 = all_52_2
% 171.35/26.16    (2)  all_56_1 = all_52_4
% 171.35/26.16    (3)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.35/26.16    (4)   ~ (all_52_8 = all_52_12)
% 171.35/26.16    (5)   ~ (e3 = e1)
% 171.35/26.16    (6)  all_58_23 = all_52_7
% 171.35/26.16    (7)   ~ (all_52_2 = all_6_2)
% 171.35/26.16    (8)   ~ (all_52_4 = all_4_2)
% 171.35/26.16    (9)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.35/26.16    (10)  op(e2, e3) = e0
% 171.35/26.16    (11)  op(e3, all_52_4) = all_58_1
% 171.35/26.16    (12)  all_54_1 = all_52_4
% 171.35/26.16    (13)  op(all_10_2, e1) = all_10_1
% 171.35/26.16    (14)   ~ (all_14_2 = e0)
% 171.35/26.16    (15)   ~ (all_52_9 = all_4_2)
% 171.35/26.16    (16)  all_54_6 = all_52_9
% 171.35/26.16    (17)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 171.35/26.16    (18)   ~ (all_52_13 = all_4_2)
% 171.35/26.16    (19)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.35/26.16    (20)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 171.35/26.16    (21)   ~ (all_52_9 = e0)
% 171.35/26.16    (22)  all_58_26 = all_10_2
% 171.35/26.16    (23)  all_58_31 = all_14_2
% 171.35/26.16    (24)   ~ (all_52_9 = all_52_13)
% 171.35/26.16    (25)   ~ (all_52_3 = all_6_2)
% 171.35/26.16    (26)   ~ (all_52_4 = e0)
% 171.35/26.16    (27)  all_56_9 = e0
% 171.35/26.16    (28)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 171.35/26.16    (29)  all_54_2 = all_52_8
% 171.35/26.16    (30)  all_56_0 = all_6_2
% 171.35/26.16    (31)  all_58_30 = all_52_14
% 171.35/26.16    (32)  op(e3, e1) = all_52_8
% 171.35/26.16    (33)  all_58_19 = all_52_3
% 171.35/26.16    (34)  all_58_22 = e0
% 171.35/26.16    (35)   ~ (e3 = e2)
% 171.35/26.16    (36)   ~ (e2 = e1)
% 171.35/26.16    (37)   ~ (all_52_2 = e0)
% 171.35/26.16    (38)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 171.35/26.16    (39)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 171.35/26.16    (40)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.35/26.16    (41)  all_58_28 = e0
% 171.35/26.16    (42)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.35/26.16    (43)   ~ (all_52_13 = all_52_14)
% 171.35/26.16    (44)  all_58_18 = all_52_2
% 171.35/26.16    (45)  all_58_16 = all_6_2
% 171.35/26.16    (46)   ~ (all_52_4 = all_6_2)
% 171.35/26.16    (47)  all_58_29 = all_52_13
% 171.35/26.16    (48)   ~ (all_52_13 = e0)
% 171.35/26.16    (49)   ~ (all_4_2 = e0)
% 171.35/26.16    (50)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 171.35/26.16    (51)   ~ (all_6_2 = e0)
% 171.35/26.16    (52)   ~ (all_52_8 = all_10_2)
% 171.35/26.16    (53)  all_56_4 = all_52_8
% 171.35/26.16    (54)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 171.35/26.16    (55)  all_58_20 = all_52_4
% 171.35/26.16    (56)  all_54_10 = all_10_2
% 171.35/26.16    (57)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 171.35/26.16    (58)  all_58_17 = e0
% 171.35/26.16    (59)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 171.35/26.16    (60)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 171.35/26.16    (61)   ~ (all_52_8 = all_6_2)
% 171.35/26.16    (62)  all_56_6 = all_52_2
% 171.35/26.16    (63)   ~ (all_52_7 = e0)
% 171.35/26.16    (64)  all_58_27 = e0
% 171.35/26.16    (65)   ~ (all_52_4 = all_52_12)
% 171.35/26.16    (66)  all_54_0 = all_6_2
% 171.35/26.16    (67)   ~ (all_52_14 = all_10_2)
% 171.35/26.16    (68)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 171.35/26.16    (69)   ~ (all_52_2 = all_52_3)
% 171.35/26.16    (70)   ~ (all_52_4 = all_52_8)
% 171.35/26.16    (71)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 171.35/26.16    (72)  all_58_25 = all_52_9
% 171.35/26.16    (73)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.35/26.16            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.35/26.16    (74)  all_54_12 = all_52_3
% 171.35/26.16    (75)   ~ (all_52_2 = all_52_14)
% 171.35/26.16    (76)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.35/26.16    (77)  all_58_21 = all_4_2
% 171.35/26.16    (78)   ~ (all_52_3 = e0)
% 171.35/26.16    (79)   ~ (e2 = e0)
% 171.35/26.16    (80)   ~ (all_52_14 = e0)
% 171.35/26.16    (81)  all_58_28 = all_52_12
% 171.35/26.16    (82)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 171.35/26.16    (83)   ~ (e1 = e0)
% 171.35/26.16    (84)   ~ (all_52_8 = e0)
% 171.35/26.16    (85)  all_54_5 = all_4_2
% 171.35/26.16    (86)  op(all_10_1, all_10_2) = all_10_0
% 171.35/26.16    (87)  op(e2, all_52_13) = all_58_7
% 171.35/26.16    (88)   ~ (all_10_0 = e0)
% 171.35/26.16    (89)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 171.35/26.16          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 171.35/26.16          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.35/26.16          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 171.35/26.16          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.35/26.16          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 171.35/26.16          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.35/26.16          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 171.35/26.16          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 171.35/26.16          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 171.35/26.16            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 171.35/26.16            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 171.35/26.16            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 171.35/26.16            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 171.35/26.16            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 171.35/26.16            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 171.35/26.16            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 171.35/26.16            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 171.35/26.16            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 171.35/26.16            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 171.35/26.16            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 171.35/26.16            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 171.35/26.16            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 171.35/26.16            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 171.35/26.16            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 171.35/26.16            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 171.35/26.16          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 171.35/26.16          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 171.35/26.16          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 171.35/26.16            all_58_30 = e0 & e1 = e0)
% 171.35/26.16    (90)  all_54_7 = all_52_13
% 171.35/26.16    (91)   ~ (all_52_2 = all_10_2)
% 171.35/26.16    (92)  all_54_11 = all_52_14
% 171.35/26.16  
% 171.35/26.16  Begin of proof
% 171.35/26.16  | 
% 171.35/26.16  | BETA: splitting (17) gives:
% 171.35/26.16  | 
% 171.35/26.16  | Case 1:
% 171.35/26.16  | | 
% 171.35/26.16  | |   (93)  all_54_11 = e0
% 171.35/26.16  | | 
% 171.35/26.16  | | REF_CLOSE: (80), (92), (93) are inconsistent by sub-proof #558.
% 171.35/26.16  | | 
% 171.35/26.16  | Case 2:
% 171.35/26.16  | | 
% 171.35/26.16  | |   (94)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 171.35/26.16  | | 
% 171.35/26.16  | | BETA: splitting (3) gives:
% 171.35/26.16  | | 
% 171.35/26.16  | | Case 1:
% 171.35/26.16  | | | 
% 171.35/26.16  | | |   (95)  all_54_0 = e0
% 171.35/26.16  | | | 
% 171.35/26.16  | | | REF_CLOSE: (51), (66), (95) are inconsistent by sub-proof #984.
% 171.35/26.16  | | | 
% 171.35/26.16  | | Case 2:
% 171.35/26.16  | | | 
% 171.35/26.16  | | |   (96)   ~ (all_54_0 = e0)
% 171.35/26.16  | | |   (97)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 171.35/26.16  | | | 
% 171.35/26.16  | | | BETA: splitting (60) gives:
% 171.35/26.16  | | | 
% 171.35/26.16  | | | Case 1:
% 171.35/26.16  | | | | 
% 171.35/26.16  | | | |   (98)  all_58_23 = e0
% 171.35/26.16  | | | | 
% 171.35/26.16  | | | | COMBINE_EQS: (6), (98) imply:
% 171.35/26.16  | | | |   (99)  all_52_7 = e0
% 171.35/26.16  | | | | 
% 171.35/26.16  | | | | REDUCE: (63), (99) imply:
% 171.35/26.16  | | | |   (100)  $false
% 171.35/26.16  | | | | 
% 171.35/26.16  | | | | CLOSE: (100) is inconsistent.
% 171.35/26.16  | | | | 
% 171.35/26.16  | | | Case 2:
% 171.35/26.16  | | | | 
% 171.35/26.16  | | | |   (101)   ~ (all_58_23 = e0)
% 171.35/26.16  | | | |   (102)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 171.35/26.16  | | | | 
% 171.35/26.16  | | | | BETA: splitting (9) gives:
% 171.35/26.16  | | | | 
% 171.35/26.16  | | | | Case 1:
% 171.35/26.16  | | | | | 
% 171.35/26.16  | | | | |   (103)  all_58_19 = e0
% 171.35/26.16  | | | | | 
% 171.35/26.16  | | | | | COMBINE_EQS: (33), (103) imply:
% 171.35/26.16  | | | | |   (104)  all_52_3 = e0
% 171.35/26.16  | | | | | 
% 171.35/26.16  | | | | | REDUCE: (78), (104) imply:
% 171.35/26.16  | | | | |   (105)  $false
% 171.35/26.16  | | | | | 
% 171.35/26.16  | | | | | CLOSE: (105) is inconsistent.
% 171.35/26.16  | | | | | 
% 171.35/26.16  | | | | Case 2:
% 171.35/26.16  | | | | | 
% 171.35/26.16  | | | | |   (106)   ~ (all_58_19 = e0)
% 171.35/26.16  | | | | |   (107)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 171.35/26.16  | | | | | 
% 171.35/26.16  | | | | | BETA: splitting (19) gives:
% 171.35/26.16  | | | | | 
% 171.35/26.17  | | | | | Case 1:
% 171.35/26.17  | | | | | | 
% 171.35/26.17  | | | | | |   (108)  all_58_31 = e0
% 171.35/26.17  | | | | | | 
% 171.35/26.17  | | | | | | COMBINE_EQS: (23), (108) imply:
% 171.35/26.17  | | | | | |   (109)  all_14_2 = e0
% 171.35/26.17  | | | | | | 
% 171.35/26.17  | | | | | | REDUCE: (14), (109) imply:
% 171.35/26.17  | | | | | |   (110)  $false
% 171.35/26.17  | | | | | | 
% 171.35/26.17  | | | | | | CLOSE: (110) is inconsistent.
% 171.35/26.17  | | | | | | 
% 171.35/26.17  | | | | | Case 2:
% 171.35/26.17  | | | | | | 
% 171.35/26.17  | | | | | |   (111)   ~ (all_58_31 = e0)
% 171.35/26.17  | | | | | |   (112)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 171.35/26.17  | | | | | | 
% 171.35/26.17  | | | | | | BETA: splitting (28) gives:
% 171.35/26.17  | | | | | | 
% 171.35/26.17  | | | | | | Case 1:
% 171.35/26.17  | | | | | | | 
% 171.35/26.17  | | | | | | |   (113)  all_56_4 = e2
% 171.35/26.17  | | | | | | | 
% 171.35/26.17  | | | | | | | COMBINE_EQS: (53), (113) imply:
% 171.35/26.17  | | | | | | |   (114)  all_52_8 = e2
% 171.35/26.17  | | | | | | | 
% 171.35/26.17  | | | | | | | REDUCE: (61), (114) imply:
% 171.35/26.17  | | | | | | |   (115)   ~ (all_6_2 = e2)
% 171.35/26.17  | | | | | | | 
% 171.35/26.17  | | | | | | | SIMP: (115) implies:
% 171.35/26.17  | | | | | | |   (116)   ~ (all_6_2 = e2)
% 171.35/26.17  | | | | | | | 
% 171.35/26.17  | | | | | | | BETA: splitting (50) gives:
% 171.35/26.17  | | | | | | | 
% 171.35/26.17  | | | | | | | Case 1:
% 171.35/26.17  | | | | | | | | 
% 171.35/26.17  | | | | | | | |   (117)  all_56_6 = e2
% 171.35/26.17  | | | | | | | | 
% 171.35/26.17  | | | | | | | | COMBINE_EQS: (62), (117) imply:
% 171.35/26.17  | | | | | | | |   (118)  all_52_2 = e2
% 171.35/26.17  | | | | | | | | 
% 171.35/26.17  | | | | | | | | SIMP: (118) implies:
% 171.35/26.17  | | | | | | | |   (119)  all_52_2 = e2
% 171.35/26.17  | | | | | | | | 
% 171.35/26.17  | | | | | | | | COMBINE_EQS: (44), (119) imply:
% 171.35/26.17  | | | | | | | |   (120)  all_58_18 = e2
% 171.35/26.17  | | | | | | | | 
% 171.35/26.17  | | | | | | | | REF_CLOSE: (2), (6), (8), (10), (11), (12), (13), (14), (18),
% 171.35/26.17  | | | | | | | |            (19), (23), (26), (28), (29), (31), (32), (34), (36),
% 171.35/26.17  | | | | | | | |            (39), (41), (42), (43), (45), (46), (47), (51), (52),
% 171.35/26.17  | | | | | | | |            (53), (54), (55), (56), (57), (58), (60), (61), (63),
% 171.35/26.17  | | | | | | | |            (67), (70), (73), (77), (79), (82), (83), (84), (86),
% 171.35/26.17  | | | | | | | |            (87), (88), (90), (107), (120) are inconsistent by
% 171.35/26.17  | | | | | | | |            sub-proof #392.
% 171.35/26.17  | | | | | | | | 
% 171.35/26.17  | | | | | | | Case 2:
% 171.35/26.17  | | | | | | | | 
% 171.35/26.17  | | | | | | | |   (121)   ~ (all_56_6 = e2)
% 171.35/26.17  | | | | | | | | 
% 171.35/26.17  | | | | | | | | REDUCE: (62), (121) imply:
% 171.35/26.17  | | | | | | | |   (122)   ~ (all_52_2 = e2)
% 171.35/26.17  | | | | | | | | 
% 171.35/26.17  | | | | | | | | REF_CLOSE: (1), (5), (7), (9), (18), (20), (30), (31), (33),
% 171.35/26.17  | | | | | | | |            (34), (40), (41), (44), (45), (46), (47), (51), (55),
% 171.35/26.17  | | | | | | | |            (58), (66), (75), (77), (78), (79), (83), (97),
% 171.35/26.17  | | | | | | | |            (102), (112), (116), (122) are inconsistent by
% 171.35/26.17  | | | | | | | |            sub-proof #405.
% 171.35/26.17  | | | | | | | | 
% 171.35/26.17  | | | | | | | End of split
% 171.35/26.17  | | | | | | | 
% 171.35/26.17  | | | | | | Case 2:
% 171.35/26.17  | | | | | | | 
% 171.35/26.17  | | | | | | |   (123)   ~ (all_56_4 = e2)
% 171.35/26.17  | | | | | | | 
% 171.35/26.17  | | | | | | | REDUCE: (53), (123) imply:
% 171.35/26.17  | | | | | | |   (124)   ~ (all_52_8 = e2)
% 171.35/26.17  | | | | | | | 
% 171.35/26.17  | | | | | | | REF_CLOSE: (2), (4), (8), (12), (14), (15), (16), (18), (21),
% 171.35/26.17  | | | | | | |            (22), (23), (24), (25), (26), (27), (29), (30), (31),
% 171.35/26.17  | | | | | | |            (33), (34), (35), (37), (38), (41), (43), (44), (45),
% 171.35/26.17  | | | | | | |            (47), (48), (49), (51), (53), (55), (57), (58), (59),
% 171.35/26.17  | | | | | | |            (61), (64), (65), (68), (69), (70), (71), (72), (74),
% 171.35/26.17  | | | | | | |            (75), (76), (77), (78), (79), (81), (83), (84), (85),
% 171.35/26.17  | | | | | | |            (89), (91), (92), (94), (102), (107), (112), (124) are
% 171.35/26.17  | | | | | | |            inconsistent by sub-proof #143.
% 171.35/26.17  | | | | | | | 
% 171.35/26.17  | | | | | | End of split
% 171.35/26.17  | | | | | | 
% 171.35/26.17  | | | | | End of split
% 171.35/26.17  | | | | | 
% 171.35/26.17  | | | | End of split
% 171.35/26.17  | | | | 
% 171.35/26.17  | | | End of split
% 171.35/26.17  | | | 
% 171.35/26.17  | | End of split
% 171.35/26.17  | | 
% 171.35/26.17  | End of split
% 171.35/26.17  | 
% 171.35/26.17  End of proof
% 171.35/26.17  
% 171.35/26.17  Sub-proof #143 shows that the following formulas are inconsistent:
% 171.35/26.17  ----------------------------------------------------------------
% 171.35/26.17    (1)  all_56_1 = all_52_4
% 171.35/26.17    (2)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 171.35/26.17    (3)   ~ (all_52_8 = all_52_12)
% 171.35/26.17    (4)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 171.35/26.17    (5)   ~ (all_52_4 = all_4_2)
% 171.35/26.17    (6)  all_54_1 = all_52_4
% 171.35/26.17    (7)   ~ (all_14_2 = e0)
% 171.35/26.17    (8)   ~ (all_52_9 = all_4_2)
% 171.35/26.17    (9)  all_54_6 = all_52_9
% 171.35/26.17    (10)   ~ (all_52_13 = all_4_2)
% 171.35/26.17    (11)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 171.35/26.17    (12)   ~ (all_52_9 = e0)
% 171.35/26.17    (13)  all_58_26 = all_10_2
% 171.35/26.17    (14)  all_58_31 = all_14_2
% 171.35/26.17    (15)   ~ (all_52_9 = all_52_13)
% 171.35/26.17    (16)   ~ (all_52_3 = all_6_2)
% 171.35/26.17    (17)   ~ (all_52_4 = e0)
% 171.35/26.17    (18)  all_56_9 = e0
% 171.35/26.17    (19)  all_54_2 = all_52_8
% 171.35/26.17    (20)  all_56_0 = all_6_2
% 171.35/26.17    (21)  all_58_30 = all_52_14
% 171.35/26.17    (22)   ~ (all_52_8 = e2)
% 171.35/26.17    (23)  all_58_19 = all_52_3
% 171.35/26.17    (24)  all_58_22 = e0
% 171.35/26.17    (25)   ~ (e3 = e2)
% 171.35/26.17    (26)   ~ (all_52_2 = e0)
% 171.35/26.17    (27)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 171.35/26.17    (28)  all_58_28 = e0
% 171.35/26.17    (29)   ~ (all_52_13 = all_52_14)
% 171.35/26.17    (30)  all_58_18 = all_52_2
% 171.35/26.17    (31)  all_58_16 = all_6_2
% 171.35/26.17    (32)  all_58_29 = all_52_13
% 171.35/26.17    (33)   ~ (all_52_13 = e0)
% 171.35/26.17    (34)   ~ (all_4_2 = e0)
% 171.35/26.17    (35)   ~ (all_6_2 = e0)
% 171.35/26.17    (36)  all_56_4 = all_52_8
% 171.35/26.17    (37)  all_58_20 = all_52_4
% 171.35/26.17    (38)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 171.35/26.17    (39)  all_58_17 = e0
% 171.35/26.17    (40)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 171.35/26.17    (41)   ~ (all_52_8 = all_6_2)
% 171.35/26.17    (42)  all_58_27 = e0
% 171.35/26.17    (43)   ~ (all_52_4 = all_52_12)
% 171.35/26.17    (44)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 171.35/26.17    (45)   ~ (all_52_2 = all_52_3)
% 171.35/26.17    (46)   ~ (all_52_4 = all_52_8)
% 171.35/26.17    (47)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 171.35/26.17    (48)  all_58_25 = all_52_9
% 171.35/26.17    (49)  all_54_12 = all_52_3
% 171.35/26.17    (50)   ~ (all_52_2 = all_52_14)
% 171.35/26.17    (51)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.35/26.17    (52)  all_58_21 = all_4_2
% 171.35/26.17    (53)   ~ (all_52_3 = e0)
% 171.35/26.17    (54)   ~ (e2 = e0)
% 171.35/26.17    (55)  all_58_28 = all_52_12
% 171.35/26.17    (56)   ~ (e1 = e0)
% 171.35/26.17    (57)   ~ (all_52_8 = e0)
% 171.35/26.17    (58)  all_54_5 = all_4_2
% 171.35/26.17    (59)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 171.35/26.17          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 171.35/26.17          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.35/26.17          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 171.35/26.17          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.35/26.17          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 171.35/26.17          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.35/26.17          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 171.35/26.17          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 171.35/26.17          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 171.35/26.17            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 171.35/26.17            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 171.35/26.17            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 171.35/26.17            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 171.35/26.17            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 171.35/26.17            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 171.35/26.17            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 171.35/26.17            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 171.35/26.17            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 171.35/26.17            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 171.35/26.17            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 171.35/26.17            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 171.35/26.17            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 171.35/26.17            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 171.35/26.17            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 171.35/26.17            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 171.35/26.17          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 171.35/26.17          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 171.35/26.17          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 171.35/26.17            all_58_30 = e0 & e1 = e0)
% 171.35/26.17    (60)   ~ (all_52_2 = all_10_2)
% 171.35/26.17    (61)  all_54_11 = all_52_14
% 171.35/26.17    (62)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 171.35/26.17  
% 171.35/26.17  Begin of proof
% 171.35/26.17  | 
% 171.35/26.17  | BETA: splitting (27) gives:
% 171.35/26.17  | 
% 171.35/26.17  | Case 1:
% 171.35/26.17  | | 
% 171.35/26.17  | |   (63)  all_56_0 = e2
% 171.35/26.17  | | 
% 171.35/26.17  | | COMBINE_EQS: (20), (63) imply:
% 171.35/26.17  | |   (64)  all_6_2 = e2
% 171.35/26.17  | | 
% 171.35/26.17  | | COMBINE_EQS: (31), (64) imply:
% 171.35/26.17  | |   (65)  all_58_16 = e2
% 171.35/26.17  | | 
% 171.35/26.17  | | REDUCE: (16), (64) imply:
% 171.35/26.17  | |   (66)   ~ (all_52_3 = e2)
% 171.35/26.17  | | 
% 171.35/26.17  | | BETA: splitting (4) gives:
% 171.35/26.17  | | 
% 171.35/26.17  | | Case 1:
% 171.35/26.17  | | | 
% 171.35/26.17  | | |   (67)  all_58_18 = e1
% 171.35/26.17  | | | 
% 171.35/26.17  | | | COMBINE_EQS: (30), (67) imply:
% 171.35/26.17  | | |   (68)  all_52_2 = e1
% 171.35/26.17  | | | 
% 171.35/26.17  | | | SIMP: (68) implies:
% 171.35/26.17  | | |   (69)  all_52_2 = e1
% 171.35/26.17  | | | 
% 171.35/26.17  | | | REDUCE: (45), (69) imply:
% 171.35/26.17  | | |   (70)   ~ (all_52_3 = e1)
% 171.35/26.17  | | | 
% 171.35/26.17  | | | SIMP: (70) implies:
% 171.35/26.17  | | |   (71)   ~ (all_52_3 = e1)
% 171.35/26.17  | | | 
% 171.35/26.17  | | | REDUCE: (50), (69) imply:
% 171.35/26.17  | | |   (72)   ~ (all_52_14 = e1)
% 171.35/26.17  | | | 
% 171.35/26.17  | | | SIMP: (72) implies:
% 171.35/26.17  | | |   (73)   ~ (all_52_14 = e1)
% 171.35/26.17  | | | 
% 171.35/26.17  | | | REDUCE: (60), (69) imply:
% 171.35/26.17  | | |   (74)   ~ (all_10_2 = e1)
% 171.35/26.17  | | | 
% 171.35/26.17  | | | SIMP: (74) implies:
% 171.35/26.17  | | |   (75)   ~ (all_10_2 = e1)
% 171.35/26.17  | | | 
% 171.35/26.17  | | | BETA: splitting (44) gives:
% 171.35/26.17  | | | 
% 171.35/26.17  | | | Case 1:
% 171.35/26.17  | | | | 
% 171.35/26.17  | | | |   (76)  all_54_12 = e1
% 171.35/26.17  | | | | 
% 171.35/26.17  | | | | REF_CLOSE: (49), (71), (76) are inconsistent by sub-proof #812.
% 171.35/26.17  | | | | 
% 171.35/26.17  | | | Case 2:
% 171.35/26.17  | | | | 
% 171.35/26.17  | | | |   (77)  all_54_12 = e3 | all_54_12 = e2
% 171.35/26.17  | | | | 
% 171.35/26.17  | | | | BETA: splitting (77) gives:
% 171.35/26.17  | | | | 
% 171.35/26.17  | | | | Case 1:
% 171.35/26.17  | | | | | 
% 171.35/26.17  | | | | |   (78)  all_54_12 = e2
% 171.35/26.17  | | | | | 
% 171.35/26.17  | | | | | REF_CLOSE: (49), (66), (78) are inconsistent by sub-proof #811.
% 171.35/26.17  | | | | | 
% 171.35/26.17  | | | | Case 2:
% 171.35/26.17  | | | | | 
% 171.35/26.17  | | | | |   (79)  all_54_12 = e3
% 171.35/26.17  | | | | | 
% 171.35/26.17  | | | | | COMBINE_EQS: (49), (79) imply:
% 171.35/26.17  | | | | |   (80)  all_52_3 = e3
% 171.35/26.17  | | | | | 
% 171.35/26.17  | | | | | SIMP: (80) implies:
% 171.35/26.17  | | | | |   (81)  all_52_3 = e3
% 171.35/26.17  | | | | | 
% 171.35/26.17  | | | | | COMBINE_EQS: (23), (81) imply:
% 171.35/26.17  | | | | |   (82)  all_58_19 = e3
% 171.35/26.17  | | | | | 
% 171.35/26.17  | | | | | REDUCE: (53), (81) imply:
% 171.35/26.17  | | | | |   (83)   ~ (e3 = e0)
% 171.35/26.17  | | | | | 
% 171.35/26.17  | | | | | BETA: splitting (59) gives:
% 171.35/26.17  | | | | | 
% 171.35/26.17  | | | | | Case 1:
% 171.35/26.17  | | | | | | 
% 171.35/26.17  | | | | | |   (84)  all_58_31 = e0
% 171.35/26.17  | | | | | | 
% 171.35/26.17  | | | | | | COMBINE_EQS: (14), (84) imply:
% 171.35/26.17  | | | | | |   (85)  all_14_2 = e0
% 171.35/26.17  | | | | | | 
% 171.35/26.17  | | | | | | REDUCE: (7), (85) imply:
% 171.35/26.17  | | | | | |   (86)  $false
% 171.35/26.17  | | | | | | 
% 171.35/26.17  | | | | | | CLOSE: (86) is inconsistent.
% 171.35/26.17  | | | | | | 
% 171.35/26.17  | | | | | Case 2:
% 171.35/26.17  | | | | | | 
% 171.35/26.17  | | | | | |   (87)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 |
% 171.35/26.17  | | | | | |         (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 171.35/26.17  | | | | | |           all_58_24 = e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 171.35/26.17  | | | | | |           all_58_20 = e3 & all_58_28 = e0) | (all_58_17 = e3 &
% 171.35/26.17  | | | | | |           all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 171.35/26.17  | | | | | |         (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 171.35/26.17  | | | | | |           all_58_29 = e2) | (all_58_17 = e2 & all_58_18 = e3 &
% 171.35/26.17  | | | | | |           all_58_20 = e2 & all_58_24 = e3) | (all_58_17 = e2 &
% 171.35/26.17  | | | | | |           all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.35/26.17  | | | | | |         (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 171.35/26.17  | | | | | |           all_58_25 = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 171.35/26.17  | | | | | |           all_58_23 = e0 & all_58_29 = e0) | (all_58_17 = e2 &
% 171.35/26.17  | | | | | |           all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 171.35/26.17  | | | | | |           e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 171.35/26.17  | | | | | |           all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 171.35/26.17  | | | | | |         (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 171.35/26.17  | | | | | |           all_58_30 = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 171.35/26.17  | | | | | |           all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 171.35/26.17  | | | | | |           all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 171.35/26.17  | | | | | |         (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 171.35/26.17  | | | | | |           all_58_30 = e0) | (all_58_18 = e1 & all_58_24 = e1 & e3 =
% 171.35/26.17  | | | | | |           e1) | (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 171.35/26.17  | | | | | |           all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 171.35/26.17  | | | | | |           all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 &
% 171.35/26.17  | | | | | |           all_58_23 = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 171.35/26.17  | | | | | |         (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 171.35/26.17  | | | | | |           all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 & e3 =
% 171.35/26.17  | | | | | |           e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 171.35/26.17  | | | | | |           all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 &
% 171.35/26.17  | | | | | |           all_58_27 = e1 & all_58_30 = e1) | (all_58_22 = e1 &
% 171.35/26.17  | | | | | |           all_58_23 = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 171.35/26.17  | | | | | |         (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 171.35/26.17  | | | | | |           all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 =
% 171.35/26.17  | | | | | |           e1) | (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 171.35/26.17  | | | | | |           all_58_30 = e0) | (all_58_23 = e0 & all_58_27 = e1 &
% 171.35/26.17  | | | | | |           all_58_29 = e0 & all_58_30 = e1) | (all_58_23 = e0 &
% 171.35/26.17  | | | | | |           all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 171.35/26.17  | | | | | |           e0 & e1 = e0)
% 171.35/26.17  | | | | | | 
% 171.35/26.17  | | | | | | BETA: splitting (11) gives:
% 171.35/26.17  | | | | | | 
% 171.35/26.17  | | | | | | Case 1:
% 171.35/26.17  | | | | | | | 
% 171.35/26.17  | | | | | | |   (88)  all_58_30 = e1
% 171.35/26.17  | | | | | | | 
% 171.35/26.17  | | | | | | | COMBINE_EQS: (21), (88) imply:
% 171.35/26.17  | | | | | | |   (89)  all_52_14 = e1
% 171.35/26.17  | | | | | | | 
% 171.35/26.17  | | | | | | | REDUCE: (73), (89) imply:
% 171.35/26.17  | | | | | | |   (90)  $false
% 171.35/26.17  | | | | | | | 
% 171.35/26.17  | | | | | | | CLOSE: (90) is inconsistent.
% 171.35/26.17  | | | | | | | 
% 171.35/26.17  | | | | | | Case 2:
% 171.35/26.17  | | | | | | | 
% 171.35/26.17  | | | | | | |   (91)   ~ (all_58_30 = e1)
% 171.35/26.17  | | | | | | |   (92)  all_58_28 = e3 | all_58_29 = e2
% 171.35/26.17  | | | | | | | 
% 171.35/26.17  | | | | | | | BETA: splitting (87) gives:
% 171.35/26.17  | | | | | | | 
% 171.35/26.17  | | | | | | | Case 1:
% 171.35/26.17  | | | | | | | | 
% 171.35/26.17  | | | | | | | |   (93)  all_58_26 = e1
% 171.35/26.17  | | | | | | | | 
% 171.35/26.17  | | | | | | | | REF_CLOSE: (13), (75), (93) are inconsistent by sub-proof #968.
% 171.35/26.17  | | | | | | | | 
% 171.35/26.17  | | | | | | | Case 2:
% 171.35/26.17  | | | | | | | | 
% 171.35/26.17  | | | | | | | |   (94)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3 &
% 171.35/26.17  | | | | | | | |           all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 171.35/26.17  | | | | | | | |         (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 171.35/26.17  | | | | | | | |           all_58_28 = e0) | (all_58_17 = e3 & all_58_20 = e3 &
% 171.35/26.17  | | | | | | | |           all_58_22 = e2 & all_58_25 = e2) | (all_58_17 = e3 &
% 171.35/26.17  | | | | | | | |           all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.35/26.17  | | | | | | | |         (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 171.35/26.17  | | | | | | | |           all_58_24 = e3) | (all_58_17 = e2 & all_58_19 = e3 &
% 171.35/26.17  | | | | | | | |           all_58_20 = e2 & all_58_28 = e3) | (all_58_17 = e2 &
% 171.35/26.17  | | | | | | | |           all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 171.35/26.17  | | | | | | | |         (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 171.35/26.17  | | | | | | | |           all_58_29 = e0) | (all_58_17 = e2 & all_58_20 = e2 &
% 171.35/26.17  | | | | | | | |           e3 = e2) | (all_58_18 = e3 & all_58_19 = e0 &
% 171.35/26.17  | | | | | | | |           all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 171.35/26.17  | | | | | | | |           all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 171.35/26.17  | | | | | | | |         (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 171.35/26.17  | | | | | | | |           all_58_30 = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 171.35/26.17  | | | | | | | |           all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 171.35/26.17  | | | | | | | |           all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 171.35/26.17  | | | | | | | |         (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 171.35/26.17  | | | | | | | |           all_58_30 = e0) | (all_58_18 = e1 & all_58_24 = e1 &
% 171.35/26.17  | | | | | | | |           e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 171.35/26.17  | | | | | | | |           all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 &
% 171.35/26.17  | | | | | | | |           all_58_27 = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 171.35/26.17  | | | | | | | |         (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 171.35/26.17  | | | | | | | |           all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 171.35/26.17  | | | | | | | |           all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 &
% 171.35/26.17  | | | | | | | |           all_58_28 = e0 & e3 = e0) | (all_58_22 = e2 &
% 171.35/26.17  | | | | | | | |           all_58_23 = e0 & all_58_25 = e2 & all_58_29 = e0) |
% 171.35/26.17  | | | | | | | |         (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 171.35/26.17  | | | | | | | |           all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 &
% 171.35/26.17  | | | | | | | |           all_58_25 = e1 & all_58_29 = e2) | (all_58_22 = e1 &
% 171.35/26.17  | | | | | | | |           all_58_25 = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 171.35/26.17  | | | | | | | |         (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) | (all_58_23
% 171.35/26.17  | | | | | | | |           = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 =
% 171.35/26.17  | | | | | | | |           e0) | (all_58_23 = e0 & all_58_27 = e1 & all_58_29 =
% 171.35/26.17  | | | | | | | |           e0 & all_58_30 = e1) | (all_58_23 = e0 & all_58_29 =
% 171.35/26.17  | | | | | | | |           e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 = e0 & e1
% 171.35/26.17  | | | | | | | |           = e0)
% 171.35/26.17  | | | | | | | | 
% 171.35/26.17  | | | | | | | | BETA: splitting (94) gives:
% 171.35/26.17  | | | | | | | | 
% 171.35/26.17  | | | | | | | | Case 1:
% 171.35/26.17  | | | | | | | | | 
% 171.35/26.17  | | | | | | | | |   (95)  all_58_21 = e2
% 171.35/26.17  | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | COMBINE_EQS: (52), (95) imply:
% 171.35/26.17  | | | | | | | | |   (96)  all_4_2 = e2
% 171.35/26.17  | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | REDUCE: (10), (96) imply:
% 171.35/26.17  | | | | | | | | |   (97)   ~ (all_52_13 = e2)
% 171.35/26.17  | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | REF_CLOSE: (28), (32), (83), (92), (97) are inconsistent by
% 171.35/26.17  | | | | | | | | |            sub-proof #844.
% 171.35/26.17  | | | | | | | | | 
% 171.35/26.17  | | | | | | | | Case 2:
% 171.35/26.17  | | | | | | | | | 
% 171.35/26.17  | | | | | | | | |   (98)   ~ (all_58_21 = e2)
% 171.35/26.17  | | | | | | | | |   (99)  all_58_16 = e3 | (all_58_17 = e3 & all_58_18 = e1 &
% 171.35/26.17  | | | | | | | | |           all_58_20 = e3 & all_58_24 = e1) | (all_58_17 = e3 &
% 171.35/26.17  | | | | | | | | |           all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.35/26.17  | | | | | | | | |         (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 &
% 171.35/26.17  | | | | | | | | |           all_58_25 = e2) | (all_58_17 = e3 & all_58_20 = e3 &
% 171.35/26.17  | | | | | | | | |           all_58_23 = e2 & all_58_29 = e2) | (all_58_17 = e2 &
% 171.35/26.17  | | | | | | | | |           all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 171.35/26.17  | | | | | | | | |         (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 &
% 171.35/26.17  | | | | | | | | |           all_58_28 = e3) | (all_58_17 = e2 & all_58_20 = e2 &
% 171.35/26.17  | | | | | | | | |           all_58_22 = e1 & all_58_25 = e1) | (all_58_17 = e2 &
% 171.35/26.17  | | | | | | | | |           all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 171.35/26.17  | | | | | | | | |         (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 171.35/26.17  | | | | | | | | |         (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 171.35/26.17  | | | | | | | | |           all_58_28 = e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 171.35/26.17  | | | | | | | | |           all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 171.35/26.17  | | | | | | | | |           all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 171.35/26.17  | | | | | | | | |         (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 171.35/26.17  | | | | | | | | |           all_58_28 = e3) | (all_58_18 = e1 & all_58_22 = e2 &
% 171.35/26.17  | | | | | | | | |           all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 171.35/26.17  | | | | | | | | |           all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 171.35/26.17  | | | | | | | | |         (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 171.35/26.17  | | | | | | | | |         (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 171.35/26.17  | | | | | | | | |           all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 171.35/26.17  | | | | | | | | |           all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 &
% 171.35/26.17  | | | | | | | | |           all_58_23 = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 171.35/26.17  | | | | | | | | |         (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 171.35/26.17  | | | | | | | | |           all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 171.35/26.17  | | | | | | | | |           e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 &
% 171.35/26.17  | | | | | | | | |           all_58_25 = e2 & all_58_29 = e0) | (all_58_22 = e2 &
% 171.35/26.17  | | | | | | | | |           all_58_25 = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 171.35/26.17  | | | | | | | | |         (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 171.35/26.17  | | | | | | | | |           all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 &
% 171.35/26.17  | | | | | | | | |           all_58_27 = e0 & all_58_30 = e0) | (all_58_22 = e1 &
% 171.35/26.17  | | | | | | | | |           all_58_25 = e1 & e2 = e1) | (all_58_23 = e2 &
% 171.35/26.17  | | | | | | | | |           all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 171.35/26.17  | | | | | | | | |         (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 171.35/26.17  | | | | | | | | |           all_58_30 = e1) | (all_58_23 = e0 & all_58_29 = e0 &
% 171.35/26.17  | | | | | | | | |           e2 = e0) | (all_58_27 = e0 & all_58_30 = e0 & e1 =
% 171.35/26.17  | | | | | | | | |           e0)
% 171.35/26.17  | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | REDUCE: (52), (98) imply:
% 171.35/26.17  | | | | | | | | |   (100)   ~ (all_4_2 = e2)
% 171.35/26.17  | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | BETA: splitting (2) gives:
% 171.35/26.17  | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | Case 1:
% 171.35/26.17  | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | |   (101)  all_58_22 = e1
% 171.35/26.17  | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | REF_CLOSE: (24), (56), (101) are inconsistent by sub-proof
% 171.35/26.17  | | | | | | | | | |            #923.
% 171.35/26.17  | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | Case 2:
% 171.35/26.17  | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | |   (102)  all_58_20 = e3 | all_58_21 = e2
% 171.35/26.17  | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | BETA: splitting (102) gives:
% 171.35/26.17  | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | Case 1:
% 171.35/26.17  | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | |   (103)  all_58_21 = e2
% 171.35/26.17  | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | COMBINE_EQS: (52), (103) imply:
% 171.35/26.17  | | | | | | | | | | |   (104)  all_4_2 = e2
% 171.35/26.17  | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | REDUCE: (100), (104) imply:
% 171.35/26.17  | | | | | | | | | | |   (105)  $false
% 171.35/26.17  | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | CLOSE: (105) is inconsistent.
% 171.35/26.17  | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | Case 2:
% 171.35/26.17  | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | |   (106)  all_58_20 = e3
% 171.35/26.17  | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | COMBINE_EQS: (37), (106) imply:
% 171.35/26.17  | | | | | | | | | | |   (107)  all_52_4 = e3
% 171.35/26.17  | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | REDUCE: (5), (107) imply:
% 171.35/26.17  | | | | | | | | | | |   (108)   ~ (all_4_2 = e3)
% 171.35/26.17  | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | SIMP: (108) implies:
% 171.35/26.17  | | | | | | | | | | |   (109)   ~ (all_4_2 = e3)
% 171.35/26.17  | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | BETA: splitting (51) gives:
% 171.35/26.17  | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | Case 1:
% 171.35/26.17  | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | |   (110)  all_54_5 = e1
% 171.35/26.17  | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | COMBINE_EQS: (58), (110) imply:
% 171.35/26.17  | | | | | | | | | | | |   (111)  all_4_2 = e1
% 171.35/26.17  | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | SIMP: (111) implies:
% 171.35/26.17  | | | | | | | | | | | |   (112)  all_4_2 = e1
% 171.35/26.17  | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | COMBINE_EQS: (52), (112) imply:
% 171.35/26.17  | | | | | | | | | | | |   (113)  all_58_21 = e1
% 171.35/26.17  | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | REDUCE: (8), (112) imply:
% 171.35/26.17  | | | | | | | | | | | |   (114)   ~ (all_52_9 = e1)
% 171.35/26.17  | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | REDUCE: (10), (112) imply:
% 171.35/26.17  | | | | | | | | | | | |   (115)   ~ (all_52_13 = e1)
% 171.35/26.17  | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | REDUCE: (100), (112) imply:
% 171.35/26.17  | | | | | | | | | | | |   (116)   ~ (e2 = e1)
% 171.35/26.17  | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | SIMP: (116) implies:
% 171.35/26.17  | | | | | | | | | | | |   (117)   ~ (e2 = e1)
% 171.35/26.17  | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | BETA: splitting (92) gives:
% 171.35/26.17  | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | Case 1:
% 171.35/26.17  | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | |   (118)  all_58_29 = e2
% 171.35/26.17  | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | COMBINE_EQS: (32), (118) imply:
% 171.35/26.17  | | | | | | | | | | | | |   (119)  all_52_13 = e2
% 171.35/26.17  | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | REDUCE: (15), (119) imply:
% 171.35/26.17  | | | | | | | | | | | | |   (120)   ~ (all_52_9 = e2)
% 171.35/26.17  | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | REDUCE: (29), (119) imply:
% 171.35/26.17  | | | | | | | | | | | | |   (121)   ~ (all_52_14 = e2)
% 171.35/26.17  | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | SIMP: (121) implies:
% 171.35/26.17  | | | | | | | | | | | | |   (122)   ~ (all_52_14 = e2)
% 171.35/26.17  | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | BETA: splitting (62) gives:
% 171.35/26.17  | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | Case 1:
% 171.35/26.17  | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | |   (123)  all_54_11 = e1
% 171.35/26.17  | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | REF_CLOSE: (61), (73), (123) are inconsistent by sub-proof
% 171.35/26.17  | | | | | | | | | | | | | |            #929.
% 171.35/26.17  | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | Case 2:
% 171.35/26.17  | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | |   (124)  all_54_11 = e3 | all_54_11 = e2
% 171.35/26.17  | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | BETA: splitting (124) gives:
% 171.35/26.17  | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | Case 1:
% 171.35/26.17  | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | |   (125)  all_54_11 = e2
% 171.35/26.17  | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | REF_CLOSE: (61), (122), (125) are inconsistent by sub-proof
% 171.35/26.17  | | | | | | | | | | | | | | |            #585.
% 171.35/26.17  | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | Case 2:
% 171.35/26.17  | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | |   (126)  all_54_11 = e3
% 171.35/26.17  | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | COMBINE_EQS: (61), (126) imply:
% 171.35/26.17  | | | | | | | | | | | | | | |   (127)  all_52_14 = e3
% 171.35/26.17  | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | SIMP: (127) implies:
% 171.35/26.17  | | | | | | | | | | | | | | |   (128)  all_52_14 = e3
% 171.35/26.17  | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | COMBINE_EQS: (21), (128) imply:
% 171.35/26.17  | | | | | | | | | | | | | | |   (129)  all_58_30 = e3
% 171.35/26.17  | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | BETA: splitting (47) gives:
% 171.35/26.17  | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | Case 1:
% 171.35/26.17  | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | |   (130)  all_54_6 = e1
% 171.35/26.17  | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | | REF_CLOSE: (9), (114), (130) are inconsistent by sub-proof
% 171.35/26.17  | | | | | | | | | | | | | | | |            #886.
% 171.35/26.17  | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | Case 2:
% 171.35/26.17  | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | |   (131)   ~ (all_54_6 = e1)
% 171.35/26.17  | | | | | | | | | | | | | | | |   (132)  all_54_6 = e3 | all_54_6 = e2
% 171.35/26.17  | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | | BETA: splitting (99) gives:
% 171.35/26.17  | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | | Case 1:
% 171.35/26.17  | | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | | |   (133)  all_58_16 = e3
% 171.35/26.17  | | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (24), (25), (56), (65), (106), (113), (117),
% 171.35/26.17  | | | | | | | | | | | | | | | | |            (133) are inconsistent by sub-proof #170.
% 171.35/26.17  | | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | | Case 2:
% 171.35/26.17  | | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | | |   (134)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 171.35/26.17  | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 171.35/26.17  | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.35/26.17  | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 171.35/26.17  | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 171.35/26.17  | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.35/26.17  | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 171.35/26.17  | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 171.35/26.17  | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.35/26.17  | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 171.35/26.17  | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 171.35/26.17  | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 171.35/26.17  | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 171.35/26.17  | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 171.35/26.17  | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 171.35/26.17  | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 171.35/26.17  | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 171.35/26.17  | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 171.35/26.17  | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 171.35/26.17  | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 171.35/26.17  | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 171.35/26.17  | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 171.35/26.17  | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 171.35/26.17  | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 171.35/26.17  | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 171.35/26.17  | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 171.35/26.17  | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 171.35/26.17  | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 171.35/26.17  | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 171.35/26.17  | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 171.35/26.17  | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 171.35/26.17  | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 171.35/26.17  | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 171.35/26.17  | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 171.35/26.17  | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 171.35/26.17  | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 171.35/26.17  | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 171.35/26.17  | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 171.35/26.17  | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 171.35/26.17  | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 171.35/26.17  | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 171.35/26.17  | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 171.35/26.17  | | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | | | BETA: splitting (132) gives:
% 171.35/26.17  | | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | | | Case 1:
% 171.35/26.17  | | | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | | | |   (135)  all_54_6 = e2
% 171.35/26.17  | | | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (120), (135) are inconsistent by sub-proof
% 171.35/26.17  | | | | | | | | | | | | | | | | | |            #885.
% 171.35/26.17  | | | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | | | Case 2:
% 171.35/26.17  | | | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | | | |   (136)  all_54_6 = e3
% 171.35/26.17  | | | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9), (136) imply:
% 171.35/26.17  | | | | | | | | | | | | | | | | | |   (137)  all_52_9 = e3
% 171.35/26.17  | | | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | | | | SIMP: (137) implies:
% 171.35/26.17  | | | | | | | | | | | | | | | | | |   (138)  all_52_9 = e3
% 171.35/26.17  | | | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (48), (138) imply:
% 171.35/26.17  | | | | | | | | | | | | | | | | | |   (139)  all_58_25 = e3
% 171.35/26.17  | | | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | | | | REDUCE: (114), (138) imply:
% 171.35/26.17  | | | | | | | | | | | | | | | | | |   (140)   ~ (e3 = e1)
% 171.35/26.17  | | | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | | | | BETA: splitting (134) gives:
% 171.35/26.17  | | | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | | | | Case 1:
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | | | | |   (141)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 171.35/26.17  | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 171.35/26.17  | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.35/26.17  | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 171.35/26.17  | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 171.35/26.17  | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.35/26.17  | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 171.35/26.17  | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 171.35/26.17  | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.35/26.17  | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 171.35/26.17  | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 171.35/26.17  | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 171.35/26.17  | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 171.35/26.17  | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 171.35/26.17  | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 171.35/26.17  | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 171.35/26.17  | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 171.35/26.17  | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 171.35/26.17  | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 171.35/26.17  | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 171.35/26.17  | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 171.35/26.17  | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | BETA: splitting (141) gives:
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | Case 1:
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | |   (142)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | | BETA: splitting (142) gives:
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | | |   (143)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2)
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (143) gives:
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.35/26.17  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |   (144)  all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (144) implies:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |   (145)  all_58_17 = e3
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (39), (145) imply:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |   (146)  e3 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (102), (106), (113), (117), (146) are
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #169.
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |   (147)  (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_17 = e3 & all_58_20
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_22 = e2 & all_58_25 = e2)
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (148)  all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (148) implies:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (149)  all_58_19 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (82), (149) imply:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (150)  e3 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (102), (106), (113), (117), (150) are
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #169.
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (151)  all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 &
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (83), (102), (113), (117), (139), (151) are
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #168.
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |   (152)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (152) gives:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |   (153)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3)
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (154)  all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (154) implies:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (155)  all_58_17 = e3
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (39), (155) imply:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (156)  e3 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (102), (106), (113), (117), (156) are
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #169.
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (157)  all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e3
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (157) implies:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (158)  all_58_20 = e2
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (24), (25), (56), (113), (117), (158) are
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #767.
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |   (159)  (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (24), (25), (56), (113), (117), (159) are
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #595.
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | Case 2:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |   (160)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0)
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |   (161)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |   (162)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2)
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (24), (25), (56), (113), (117), (162) are
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #594.
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |   (163)  (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1)
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (164)  all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (164) implies:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (165)  all_58_19 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (82), (165) imply:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (166)  e3 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (102), (106), (113), (117), (166) are
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #169.
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (167)  all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 &
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (167) implies:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (168)  all_58_25 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (169)  all_58_22 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (83), (102), (106), (113), (117), (139),
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |            (168), (169) are inconsistent by sub-proof #163.
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |   (170)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |   (171)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3)
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (172)  all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (172) implies:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (173)  all_58_30 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (174)  all_58_27 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (42), (174) imply:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (175)  e1 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (175) implies:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (176)  e1 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (102), (106), (113), (117), (129), (173),
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |            (176) are inconsistent by sub-proof #160.
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (177)  all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (83), (102), (106), (113), (117), (177) are
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #167.
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |   (178)  (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (83), (102), (106), (113), (117), (129),
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            (139), (178) are inconsistent by sub-proof #165.
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | Case 2:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | |   (179)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 171.35/26.18  | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 171.35/26.18  | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 171.35/26.18  | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 171.35/26.18  | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 171.35/26.18  | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 171.35/26.18  | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 171.35/26.18  | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 171.35/26.18  | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 171.35/26.18  | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 171.35/26.18  | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 171.35/26.18  | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 171.35/26.18  | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 171.35/26.18  | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 171.35/26.18  | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 171.35/26.18  | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 171.35/26.18  | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 171.35/26.18  | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | Case 1:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |   (180)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |   (181)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |   (182)  all_58_18 = e1 & all_58_24 = e1 & e3 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (182) implies:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |   (183)  e3 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (183) imply:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |   (184)  $false
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (184) is inconsistent.
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |   (185)  (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (186)  all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (186) implies:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (187)  all_58_29 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (5), (6), (19), (22), (24), (37), (38),
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |            (40), (43), (46), (52), (54), (55), (57), (92),
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |            (187) are inconsistent by sub-proof #173.
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (188)  all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (102), (106), (113), (117), (129), (188) are
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #164.
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |   (189)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |   (190)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1)
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (191)  all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (191) implies:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (192)  all_58_19 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (82), (192) imply:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (193)  e3 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (102), (106), (113), (117), (193) are
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #169.
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (194)  all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (194) implies:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (195)  all_58_30 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (196)  all_58_19 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (82), (196) imply:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (197)  e3 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (129), (195) imply:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (198)  e3 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (198) implies:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (199)  e3 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (197), (199) imply:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (200)  e1 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (102), (106), (113), (117), (197) are
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #169.
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |   (201)  (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (202)  all_58_19 = e0 & all_58_28 = e0 & e3 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (202) implies:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (203)  all_58_19 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (82), (203) imply:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (204)  e3 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (102), (106), (113), (117), (204) are
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #169.
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (205)  all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (205) implies:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (206)  all_58_29 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (5), (6), (19), (22), (24), (37), (38),
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |            (40), (43), (46), (52), (54), (55), (57), (92),
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |            (206) are inconsistent by sub-proof #173.
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | Case 2:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |   (207)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |   (208)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |   (209)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2)
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (210)  all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (210) implies:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (211)  all_58_30 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (212)  all_58_25 = e2
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (213)  all_58_22 = e2
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (24), (213) imply:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (214)  e2 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (139), (212) imply:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (215)  e3 = e2
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (215) implies:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (216)  e3 = e2
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (129), (211) imply:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (217)  e3 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (217) implies:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (218)  e3 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (216), (218) imply:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (219)  e2 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (219) implies:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (220)  e2 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (214), (220) imply:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (221)  e1 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (221) implies:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (222)  e1 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (218), (222) imply:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (223)  e3 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (102), (106), (113), (117), (223) are
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #169.
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (224)  all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (224) implies:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (225)  all_58_25 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (226)  all_58_22 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (83), (102), (106), (113), (117), (139),
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |            (225), (226) are inconsistent by sub-proof #163.
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |   (227)  (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (83), (102), (106), (113), (117), (129),
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            (139), (227) are inconsistent by sub-proof #162.
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |   (228)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |   (229)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1)
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (230)  all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (102), (106), (113), (117), (129), (230) are
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #161.
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (231)  all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (231) implies:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (232)  all_58_29 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (5), (6), (19), (22), (24), (37), (38),
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |            (40), (43), (46), (52), (54), (55), (57), (92),
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |            (232) are inconsistent by sub-proof #173.
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |   (233)  (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (234)  all_58_23 = e0 & all_58_29 = e0 & e2 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (234) implies:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (235)  all_58_29 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (5), (6), (19), (22), (24), (37), (38),
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |            (40), (43), (46), (52), (54), (55), (57), (92),
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |            (235) are inconsistent by sub-proof #173.
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (236)  all_58_27 = e0 & all_58_30 = e0 & e1 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (236) implies:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (237)  all_58_30 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (129), (237) imply:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (238)  e3 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (238) implies:
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |   (239)  e3 = e0
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (102), (106), (113), (117), (239) are
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #169.
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | Case 2:
% 171.35/26.18  | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | |   (240)  all_58_28 = e3
% 171.35/26.18  | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | COMBINE_EQS: (28), (240) imply:
% 171.35/26.18  | | | | | | | | | | | | |   (241)  e3 = e0
% 171.35/26.18  | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | SIMP: (241) implies:
% 171.35/26.18  | | | | | | | | | | | | |   (242)  e3 = e0
% 171.35/26.18  | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | | REF_CLOSE: (83), (102), (106), (113), (117), (242) are
% 171.35/26.18  | | | | | | | | | | | | |            inconsistent by sub-proof #169.
% 171.35/26.18  | | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | Case 2:
% 171.35/26.18  | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | |   (243)  all_54_5 = e3 | all_54_5 = e2
% 171.35/26.18  | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | | REF_CLOSE: (58), (100), (109), (243) are inconsistent by
% 171.35/26.18  | | | | | | | | | | | |            sub-proof #959.
% 171.35/26.18  | | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | | 
% 171.35/26.18  | | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | | 
% 171.35/26.18  | | | | | | | | End of split
% 171.35/26.18  | | | | | | | | 
% 171.35/26.18  | | | | | | | End of split
% 171.35/26.18  | | | | | | | 
% 171.35/26.18  | | | | | | End of split
% 171.35/26.18  | | | | | | 
% 171.35/26.18  | | | | | End of split
% 171.35/26.18  | | | | | 
% 171.35/26.18  | | | | End of split
% 171.35/26.18  | | | | 
% 171.35/26.18  | | | End of split
% 171.35/26.18  | | | 
% 171.35/26.18  | | Case 2:
% 171.35/26.18  | | | 
% 171.35/26.18  | | |   (244)  all_58_16 = e3 | all_58_17 = e2
% 171.35/26.18  | | | 
% 171.35/26.18  | | | REF_CLOSE: (25), (39), (54), (65), (244) are inconsistent by sub-proof
% 171.35/26.18  | | |            #705.
% 171.35/26.18  | | | 
% 171.35/26.18  | | End of split
% 171.35/26.18  | | 
% 171.35/26.18  | Case 2:
% 171.35/26.18  | | 
% 171.35/26.18  | |   (245)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 171.35/26.18  | | 
% 171.35/26.18  | | REF_CLOSE: (1), (2), (5), (18), (22), (24), (25), (36), (37), (52), (54),
% 171.35/26.18  | |            (56), (245) are inconsistent by sub-proof #211.
% 171.35/26.18  | | 
% 171.35/26.18  | End of split
% 171.35/26.18  | 
% 171.35/26.18  End of proof
% 171.35/26.18  
% 171.35/26.18  Sub-proof #144 shows that the following formulas are inconsistent:
% 171.35/26.18  ----------------------------------------------------------------
% 171.35/26.18    (1)   ~ (all_52_12 = all_14_2)
% 171.35/26.18    (2)  op(e0, e0) = all_14_2
% 171.35/26.18    (3)  all_56_1 = all_52_4
% 171.35/26.18    (4)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 171.35/26.18    (5)  all_56_12 = all_52_3
% 171.35/26.18    (6)   ~ (all_52_8 = all_52_12)
% 171.35/26.18    (7)   ~ (e3 = e1)
% 171.35/26.18    (8)  all_58_23 = all_52_7
% 171.35/26.18    (9)   ~ (all_52_4 = all_4_2)
% 171.35/26.18    (10)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.35/26.18    (11)  all_56_5 = all_52_9
% 171.35/26.18    (12)   ~ (all_52_3 = all_52_11)
% 171.35/26.18    (13)  op(all_6_2, e3) = all_6_1
% 171.35/26.18    (14)   ~ (all_52_12 = all_6_2)
% 171.35/26.18    (15)  op(e2, e0) = all_52_13
% 171.35/26.18    (16)  op(e3, all_6_2) = all_58_0
% 171.35/26.18    (17)  all_56_15 = all_14_2
% 171.35/26.18    (18)  all_54_1 = all_52_4
% 171.35/26.18    (19)   ~ (all_52_9 = all_4_2)
% 171.35/26.18    (20)  all_54_6 = all_52_9
% 171.35/26.18    (21)  all_56_14 = all_52_11
% 171.35/26.18    (22)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 171.35/26.18    (23)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 171.35/26.18    (24)   ~ (all_52_13 = all_4_2)
% 171.35/26.18    (25)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.35/26.18    (26)  all_56_8 = all_10_2
% 171.35/26.18    (27)  all_58_9 = all_52_14
% 171.35/26.18    (28)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.35/26.18    (29)  all_58_26 = all_10_2
% 171.35/26.18    (30)  all_58_31 = all_14_2
% 171.35/26.18    (31)   ~ (all_52_9 = all_52_13)
% 171.35/26.18    (32)   ~ (all_52_3 = all_6_2)
% 171.35/26.18    (33)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 171.35/26.18    (34)  all_54_2 = all_52_8
% 171.35/26.18    (35)  all_56_11 = all_52_14
% 171.35/26.18    (36)  all_56_0 = all_6_2
% 171.35/26.18    (37)  all_58_30 = all_52_14
% 171.35/26.18    (38)  all_58_27 = all_52_11
% 171.35/26.18    (39)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 171.35/26.18    (40)  all_58_17 = all_52_1
% 171.35/26.18    (41)  all_58_19 = all_52_3
% 171.35/26.18    (42)  all_56_9 = all_52_12
% 171.35/26.18    (43)  all_58_22 = e0
% 171.35/26.18    (44)   ~ (e3 = e2)
% 171.35/26.18    (45)   ~ (all_52_4 = all_52_7)
% 171.35/26.18    (46)   ~ (e2 = e1)
% 171.35/26.18    (47)  op(e0, all_52_11) = all_58_14
% 171.35/26.18    (48)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 171.35/26.18    (49)   ~ (all_52_13 = all_14_2)
% 171.35/26.18    (50)   ~ (all_52_1 = all_4_2)
% 171.35/26.18    (51)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.35/26.18    (52)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.35/26.18    (53)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 171.35/26.18    (54)   ~ (all_52_13 = all_52_14)
% 171.35/26.18    (55)  all_58_18 = all_52_2
% 171.35/26.18    (56)  all_58_16 = all_6_2
% 171.35/26.18    (57)  all_56_13 = all_52_7
% 171.35/26.18    (58)  op(e0, e3) = all_52_3
% 171.35/26.18    (59)   ~ (all_52_8 = all_52_9)
% 171.35/26.18    (60)   ~ (all_52_4 = all_6_2)
% 171.35/26.18    (61)  all_56_2 = all_52_1
% 171.35/26.18    (62)   ~ (e3 = e0)
% 171.35/26.18    (63)  op(e3, e0) = all_52_12
% 171.35/26.18    (64)  all_58_29 = all_52_13
% 171.35/26.18    (65)   ~ (all_52_1 = all_52_2)
% 171.35/26.18    (66)  all_56_7 = e0
% 171.35/26.18    (67)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 171.35/26.18    (68)   ~ (all_52_7 = all_4_2)
% 171.35/26.18    (69)   ~ (all_52_8 = all_10_2)
% 171.35/26.18    (70)  all_56_4 = all_52_8
% 171.35/26.18    (71)   ~ (all_52_1 = all_52_13)
% 171.35/26.19    (72)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 171.35/26.19    (73)  all_58_20 = all_52_4
% 171.35/26.19    (74)  all_54_15 = all_14_2
% 171.35/26.19    (75)   ~ (all_52_7 = all_52_11)
% 171.35/26.19    (76)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 171.35/26.19    (77)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 171.35/26.19    (78)   ~ (all_52_8 = all_52_11)
% 171.35/26.19    (79)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 171.35/26.19    (80)  all_56_6 = all_52_2
% 171.35/26.19    (81)   ~ (all_52_1 = all_52_9)
% 171.35/26.19    (82)   ~ (all_52_7 = e0)
% 171.35/26.19    (83)  all_58_24 = all_52_8
% 171.35/26.19    (84)   ~ (all_52_12 = all_52_14)
% 171.35/26.19    (85)   ~ (all_52_4 = all_52_12)
% 171.35/26.19    (86)  all_56_3 = all_4_2
% 171.35/26.19    (87)   ~ (all_52_14 = all_10_2)
% 171.35/26.19    (88)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 171.35/26.19    (89)   ~ (all_52_2 = all_52_3)
% 171.35/26.19    (90)   ~ (all_52_4 = all_52_8)
% 171.35/26.19    (91)   ~ (all_52_14 = all_14_2)
% 171.35/26.19    (92)  all_58_25 = all_52_9
% 171.35/26.19    (93)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.35/26.19            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.35/26.19    (94)   ~ (all_52_2 = all_52_14)
% 171.35/26.19    (95)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 171.35/26.19    (96)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.35/26.19    (97)  all_58_21 = all_4_2
% 171.35/26.19    (98)  all_56_10 = all_52_13
% 171.35/26.19    (99)  all_56_0 = e0
% 171.35/26.19    (100)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.35/26.19    (101)   ~ (e2 = e0)
% 171.35/26.19    (102)   ~ (all_52_1 = all_52_3)
% 171.35/26.19    (103)   ~ (all_52_14 = e0)
% 171.35/26.19    (104)  all_58_28 = all_52_12
% 171.35/26.19    (105)   ~ (e1 = e0)
% 171.35/26.19    (106)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 171.35/26.19             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 171.35/26.19             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 171.35/26.19             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 171.35/26.19             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 171.35/26.19             (all_58_15 = e0))
% 171.35/26.19    (107)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 171.35/26.19    (108)  all_54_5 = all_4_2
% 171.35/26.19    (109)  op(e2, all_52_13) = all_58_7
% 171.35/26.19    (110)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 171.35/26.19           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 171.35/26.19           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.35/26.19           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 171.35/26.19           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.35/26.19           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 171.35/26.19           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.35/26.19           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 171.35/26.19           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 171.35/26.19           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 171.35/26.19             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 171.35/26.19             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 171.35/26.19             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 171.35/26.19             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 171.35/26.19             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 171.35/26.19             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 171.35/26.19             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 171.35/26.19             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 171.35/26.19             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 171.35/26.19             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 171.35/26.19             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 171.35/26.19             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 171.35/26.19             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 171.35/26.19             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 171.35/26.19             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 171.35/26.19             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 171.35/26.19           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 171.35/26.19           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 171.35/26.19           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 171.35/26.19             all_58_30 = e0 & e1 = e0)
% 171.35/26.19    (111)  all_54_11 = all_52_14
% 171.35/26.19    (112)   ~ (all_52_12 = all_52_13)
% 171.35/26.19  
% 171.35/26.19  Begin of proof
% 171.35/26.19  | 
% 171.35/26.19  | COMBINE_EQS: (36), (99) imply:
% 171.35/26.19  |   (113)  all_6_2 = e0
% 171.35/26.19  | 
% 171.35/26.19  | COMBINE_EQS: (56), (113) imply:
% 171.35/26.19  |   (114)  all_58_16 = e0
% 171.35/26.19  | 
% 171.35/26.19  | REDUCE: (32), (113) imply:
% 171.35/26.19  |   (115)   ~ (all_52_3 = e0)
% 171.35/26.19  | 
% 171.35/26.19  | REDUCE: (60), (113) imply:
% 171.35/26.19  |   (116)   ~ (all_52_4 = e0)
% 171.35/26.19  | 
% 171.35/26.19  | REDUCE: (14), (113) imply:
% 171.35/26.19  |   (117)   ~ (all_52_12 = e0)
% 171.35/26.19  | 
% 171.35/26.19  | REDUCE: (13), (113) imply:
% 171.35/26.19  |   (118)  op(e0, e3) = all_6_1
% 171.35/26.19  | 
% 171.35/26.19  | REDUCE: (16), (113) imply:
% 171.35/26.19  |   (119)  op(e3, e0) = all_58_0
% 171.35/26.19  | 
% 171.35/26.19  | BETA: splitting (4) gives:
% 171.35/26.19  | 
% 171.35/26.19  | Case 1:
% 171.35/26.19  | | 
% 171.35/26.19  | |   (120)  all_56_12 = e0
% 171.35/26.19  | | 
% 171.35/26.19  | | REF_CLOSE: (5), (115), (120) are inconsistent by sub-proof #919.
% 171.35/26.19  | | 
% 171.35/26.19  | Case 2:
% 171.35/26.19  | | 
% 171.35/26.19  | |   (121)  all_56_13 = e0 | all_56_14 = e0
% 171.35/26.19  | | 
% 171.35/26.19  | | BETA: splitting (121) gives:
% 171.35/26.19  | | 
% 171.35/26.19  | | Case 1:
% 171.35/26.19  | | | 
% 171.35/26.19  | | |   (122)  all_56_13 = e0
% 171.35/26.19  | | | 
% 171.35/26.19  | | | REF_CLOSE: (57), (82), (122) are inconsistent by sub-proof #942.
% 171.35/26.19  | | | 
% 171.35/26.19  | | Case 2:
% 171.35/26.19  | | | 
% 171.35/26.19  | | |   (123)  all_56_14 = e0
% 171.35/26.19  | | | 
% 171.35/26.19  | | | COMBINE_EQS: (21), (123) imply:
% 171.35/26.19  | | |   (124)  all_52_11 = e0
% 171.35/26.19  | | | 
% 171.35/26.19  | | | SIMP: (124) implies:
% 171.35/26.19  | | |   (125)  all_52_11 = e0
% 171.35/26.19  | | | 
% 171.35/26.19  | | | COMBINE_EQS: (38), (125) imply:
% 171.35/26.19  | | |   (126)  all_58_27 = e0
% 171.35/26.19  | | | 
% 171.35/26.19  | | | REDUCE: (78), (125) imply:
% 171.35/26.19  | | |   (127)   ~ (all_52_8 = e0)
% 171.35/26.19  | | | 
% 171.35/26.19  | | | REDUCE: (47), (125) imply:
% 171.35/26.19  | | |   (128)  op(e0, e0) = all_58_14
% 171.35/26.19  | | | 
% 171.35/26.19  | | | GROUND_INST: instantiating (93) with all_14_2, all_58_14, e0, e0,
% 171.35/26.19  | | |              simplifying with (2), (128) gives:
% 171.35/26.19  | | |   (129)  all_58_14 = all_14_2
% 171.35/26.19  | | | 
% 171.35/26.19  | | | REF_CLOSE: (1), (3), (5), (6), (7), (8), (9), (10), (11), (15), (17),
% 171.35/26.19  | | |            (18), (19), (20), (22), (23), (24), (25), (26), (27), (28),
% 171.35/26.19  | | |            (29), (30), (31), (33), (34), (35), (37), (39), (40), (41),
% 171.35/26.19  | | |            (42), (43), (44), (45), (46), (48), (49), (50), (51), (52),
% 171.35/26.19  | | |            (53), (54), (55), (57), (58), (59), (61), (62), (63), (64),
% 171.35/26.19  | | |            (65), (66), (67), (68), (69), (70), (71), (72), (73), (74),
% 171.35/26.19  | | |            (76), (77), (79), (80), (81), (82), (83), (84), (85), (86),
% 171.35/26.19  | | |            (87), (88), (89), (90), (91), (92), (93), (94), (95), (96),
% 171.35/26.19  | | |            (97), (98), (99), (100), (101), (102), (103), (104), (105),
% 171.35/26.19  | | |            (106), (107), (108), (109), (110), (111), (112), (114), (115),
% 171.35/26.19  | | |            (116), (117), (118), (119), (126), (127), (129) are
% 171.35/26.19  | | |            inconsistent by sub-proof #145.
% 171.35/26.19  | | | 
% 171.35/26.19  | | End of split
% 171.35/26.19  | | 
% 171.35/26.19  | End of split
% 171.35/26.19  | 
% 171.35/26.19  End of proof
% 171.35/26.19  
% 171.35/26.19  Sub-proof #145 shows that the following formulas are inconsistent:
% 171.35/26.19  ----------------------------------------------------------------
% 171.35/26.19    (1)   ~ (all_52_12 = all_14_2)
% 171.35/26.19    (2)  all_56_1 = all_52_4
% 171.35/26.19    (3)  all_56_12 = all_52_3
% 171.35/26.19    (4)   ~ (all_52_8 = all_52_12)
% 171.35/26.19    (5)   ~ (e3 = e1)
% 171.35/26.19    (6)  all_58_23 = all_52_7
% 171.35/26.19    (7)   ~ (all_52_4 = all_4_2)
% 171.35/26.19    (8)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.35/26.19    (9)  all_56_5 = all_52_9
% 171.35/26.19    (10)  op(e2, e0) = all_52_13
% 171.35/26.19    (11)  all_56_15 = all_14_2
% 171.35/26.19    (12)  all_54_1 = all_52_4
% 171.35/26.19    (13)   ~ (all_52_9 = all_4_2)
% 171.35/26.19    (14)  all_54_6 = all_52_9
% 171.35/26.19    (15)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 171.35/26.19    (16)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 171.35/26.19    (17)   ~ (all_52_13 = all_4_2)
% 171.35/26.19    (18)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.35/26.19    (19)  all_56_8 = all_10_2
% 171.35/26.19    (20)  all_58_9 = all_52_14
% 171.35/26.19    (21)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.35/26.19    (22)  all_58_26 = all_10_2
% 171.35/26.19    (23)  all_58_31 = all_14_2
% 171.35/26.19    (24)   ~ (all_52_9 = all_52_13)
% 171.35/26.19    (25)   ~ (all_52_4 = e0)
% 171.35/26.19    (26)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 171.35/26.19    (27)  all_54_2 = all_52_8
% 171.35/26.19    (28)  all_56_11 = all_52_14
% 171.35/26.19    (29)  all_58_30 = all_52_14
% 171.35/26.19    (30)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 171.35/26.19    (31)  all_58_17 = all_52_1
% 171.35/26.19    (32)  all_58_19 = all_52_3
% 171.35/26.19    (33)  all_56_9 = all_52_12
% 171.35/26.19    (34)  all_58_22 = e0
% 171.35/26.19    (35)   ~ (e3 = e2)
% 171.35/26.19    (36)   ~ (all_52_4 = all_52_7)
% 171.35/26.19    (37)   ~ (e2 = e1)
% 171.35/26.19    (38)  all_58_14 = all_14_2
% 171.35/26.19    (39)  op(e3, e0) = all_58_0
% 171.35/26.19    (40)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 171.35/26.19    (41)   ~ (all_52_13 = all_14_2)
% 171.35/26.19    (42)   ~ (all_52_1 = all_4_2)
% 171.35/26.19    (43)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.35/26.19    (44)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.35/26.19    (45)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 171.35/26.19    (46)   ~ (all_52_13 = all_52_14)
% 171.35/26.19    (47)  all_58_18 = all_52_2
% 171.35/26.19    (48)  all_58_16 = e0
% 171.35/26.19    (49)  all_56_13 = all_52_7
% 171.35/26.19    (50)  op(e0, e3) = all_52_3
% 171.35/26.19    (51)   ~ (all_52_12 = e0)
% 171.35/26.19    (52)   ~ (all_52_8 = all_52_9)
% 171.35/26.19    (53)  all_56_2 = all_52_1
% 171.35/26.19    (54)  op(e0, e3) = all_6_1
% 171.35/26.19    (55)   ~ (e3 = e0)
% 171.35/26.19    (56)  op(e3, e0) = all_52_12
% 171.35/26.19    (57)  all_58_29 = all_52_13
% 171.35/26.19    (58)   ~ (all_52_1 = all_52_2)
% 171.35/26.19    (59)  all_56_7 = e0
% 171.35/26.19    (60)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 171.35/26.19    (61)   ~ (all_52_7 = all_4_2)
% 171.35/26.19    (62)   ~ (all_52_8 = all_10_2)
% 171.35/26.19    (63)  all_56_4 = all_52_8
% 171.35/26.19    (64)   ~ (all_52_1 = all_52_13)
% 171.35/26.19    (65)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 171.35/26.19    (66)  all_58_20 = all_52_4
% 171.35/26.19    (67)  all_54_15 = all_14_2
% 171.35/26.19    (68)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 171.35/26.19    (69)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 171.35/26.19    (70)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 171.35/26.19    (71)  all_56_6 = all_52_2
% 171.35/26.19    (72)   ~ (all_52_1 = all_52_9)
% 171.35/26.19    (73)   ~ (all_52_7 = e0)
% 171.35/26.19    (74)  all_58_24 = all_52_8
% 171.35/26.19    (75)   ~ (all_52_12 = all_52_14)
% 171.35/26.19    (76)  all_58_27 = e0
% 171.35/26.19    (77)   ~ (all_52_4 = all_52_12)
% 171.35/26.19    (78)  all_56_3 = all_4_2
% 171.35/26.19    (79)   ~ (all_52_14 = all_10_2)
% 171.35/26.19    (80)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 171.35/26.19    (81)   ~ (all_52_2 = all_52_3)
% 171.35/26.19    (82)   ~ (all_52_4 = all_52_8)
% 171.35/26.19    (83)   ~ (all_52_14 = all_14_2)
% 171.35/26.19    (84)  all_58_25 = all_52_9
% 171.35/26.19    (85)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.35/26.19            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.35/26.19    (86)   ~ (all_52_2 = all_52_14)
% 171.35/26.19    (87)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 171.35/26.19    (88)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.35/26.19    (89)  all_58_21 = all_4_2
% 171.35/26.19    (90)  all_56_10 = all_52_13
% 171.35/26.19    (91)   ~ (all_52_3 = e0)
% 171.35/26.19    (92)  all_56_0 = e0
% 171.35/26.19    (93)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.35/26.19    (94)   ~ (e2 = e0)
% 171.35/26.19    (95)   ~ (all_52_1 = all_52_3)
% 171.35/26.19    (96)   ~ (all_52_14 = e0)
% 171.35/26.19    (97)  all_58_28 = all_52_12
% 171.35/26.19    (98)   ~ (e1 = e0)
% 171.35/26.19    (99)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 171.35/26.19            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 171.35/26.19            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 171.35/26.19            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 171.35/26.19            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 171.35/26.19            (all_58_15 = e0))
% 171.35/26.19    (100)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 171.35/26.19    (101)   ~ (all_52_8 = e0)
% 171.35/26.19    (102)  all_54_5 = all_4_2
% 171.35/26.19    (103)  op(e2, all_52_13) = all_58_7
% 171.35/26.19    (104)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 171.35/26.19           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 171.35/26.19           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.35/26.19           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 171.35/26.19           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.35/26.19           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 171.35/26.19           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.35/26.19           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 171.35/26.19           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 171.35/26.19           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 171.35/26.19             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 171.35/26.19             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 171.35/26.19             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 171.35/26.19             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 171.35/26.19             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 171.35/26.19             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 171.35/26.19             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 171.35/26.19             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 171.35/26.19             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 171.35/26.19             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 171.35/26.19             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 171.35/26.19             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 171.35/26.19             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 171.35/26.19             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 171.35/26.19             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 171.35/26.19             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 171.35/26.19           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 171.35/26.19           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 171.35/26.19           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 171.35/26.19             all_58_30 = e0 & e1 = e0)
% 171.35/26.19    (105)  all_54_11 = all_52_14
% 171.35/26.19    (106)   ~ (all_52_12 = all_52_13)
% 171.35/26.19  
% 171.35/26.19  Begin of proof
% 171.35/26.19  | 
% 171.35/26.19  | BETA: splitting (87) gives:
% 171.35/26.19  | 
% 171.35/26.19  | Case 1:
% 171.35/26.19  | | 
% 171.35/26.19  | |   (107)  all_56_9 = e0
% 171.35/26.19  | | 
% 171.35/26.19  | | COMBINE_EQS: (33), (107) imply:
% 171.35/26.19  | |   (108)  all_52_12 = e0
% 171.35/26.19  | | 
% 171.35/26.19  | | REDUCE: (51), (108) imply:
% 171.35/26.19  | |   (109)  $false
% 171.35/26.19  | | 
% 171.35/26.19  | | CLOSE: (109) is inconsistent.
% 171.35/26.19  | | 
% 171.35/26.19  | Case 2:
% 171.35/26.19  | | 
% 171.35/26.19  | |   (110)  all_56_10 = e0 | all_56_11 = e0
% 171.35/26.19  | | 
% 171.35/26.19  | | BETA: splitting (110) gives:
% 171.35/26.19  | | 
% 171.35/26.19  | | Case 1:
% 171.35/26.19  | | | 
% 171.35/26.19  | | |   (111)  all_56_10 = e0
% 171.35/26.19  | | | 
% 171.35/26.19  | | | COMBINE_EQS: (90), (111) imply:
% 171.35/26.19  | | |   (112)  all_52_13 = e0
% 171.35/26.19  | | | 
% 171.35/26.19  | | | SIMP: (112) implies:
% 171.35/26.19  | | |   (113)  all_52_13 = e0
% 171.35/26.19  | | | 
% 171.35/26.19  | | | COMBINE_EQS: (57), (113) imply:
% 171.35/26.19  | | |   (114)  all_58_29 = e0
% 171.35/26.19  | | | 
% 171.35/26.19  | | | REDUCE: (64), (113) imply:
% 171.35/26.19  | | |   (115)   ~ (all_52_1 = e0)
% 171.35/26.19  | | | 
% 171.35/26.19  | | | REDUCE: (24), (113) imply:
% 171.35/26.19  | | |   (116)   ~ (all_52_9 = e0)
% 171.35/26.19  | | | 
% 171.35/26.19  | | | REDUCE: (46), (113) imply:
% 171.35/26.19  | | |   (117)   ~ (all_52_14 = e0)
% 171.35/26.19  | | | 
% 171.35/26.19  | | | REDUCE: (41), (113) imply:
% 171.35/26.19  | | |   (118)   ~ (all_14_2 = e0)
% 171.35/26.19  | | | 
% 171.35/26.19  | | | SIMP: (118) implies:
% 171.35/26.19  | | |   (119)   ~ (all_14_2 = e0)
% 171.35/26.19  | | | 
% 171.35/26.19  | | | REDUCE: (17), (113) imply:
% 171.35/26.19  | | |   (120)   ~ (all_4_2 = e0)
% 171.35/26.19  | | | 
% 171.35/26.19  | | | SIMP: (120) implies:
% 171.35/26.19  | | |   (121)   ~ (all_4_2 = e0)
% 171.35/26.19  | | | 
% 171.35/26.19  | | | REDUCE: (103), (113) imply:
% 171.35/26.19  | | |   (122)  op(e2, e0) = all_58_7
% 171.35/26.19  | | | 
% 171.35/26.19  | | | REDUCE: (10), (113) imply:
% 171.35/26.19  | | |   (123)  op(e2, e0) = e0
% 171.35/26.19  | | | 
% 171.35/26.19  | | | GROUND_INST: instantiating (85) with all_52_3, all_6_1, e3, e0,
% 171.35/26.19  | | |              simplifying with (50), (54) gives:
% 171.35/26.19  | | |   (124)  all_52_3 = all_6_1
% 171.35/26.19  | | | 
% 171.35/26.19  | | | GROUND_INST: instantiating (85) with e0, all_58_7, e0, e2, simplifying
% 171.35/26.19  | | |              with (122), (123) gives:
% 171.35/26.19  | | |   (125)  all_58_7 = e0
% 171.35/26.19  | | | 
% 171.35/26.19  | | | GROUND_INST: instantiating (85) with all_52_12, all_58_0, e0, e3,
% 171.35/26.19  | | |              simplifying with (39), (56) gives:
% 171.35/26.19  | | |   (126)  all_58_0 = all_52_12
% 171.35/26.19  | | | 
% 171.35/26.19  | | | COMBINE_EQS: (3), (124) imply:
% 171.35/26.19  | | |   (127)  all_56_12 = all_6_1
% 171.35/26.19  | | | 
% 171.35/26.19  | | | COMBINE_EQS: (32), (124) imply:
% 171.35/26.19  | | |   (128)  all_58_19 = all_6_1
% 171.35/26.19  | | | 
% 171.35/26.19  | | | REDUCE: (95), (124) imply:
% 171.35/26.19  | | |   (129)   ~ (all_52_1 = all_6_1)
% 171.35/26.19  | | | 
% 171.35/26.19  | | | REDUCE: (81), (124) imply:
% 171.35/26.19  | | |   (130)   ~ (all_52_2 = all_6_1)
% 171.35/26.19  | | | 
% 171.35/26.19  | | | REDUCE: (91), (124) imply:
% 171.35/26.19  | | |   (131)   ~ (all_6_1 = e0)
% 171.35/26.19  | | | 
% 171.35/26.19  | | | BETA: splitting (68) gives:
% 171.35/26.19  | | | 
% 171.35/26.19  | | | Case 1:
% 171.35/26.19  | | | | 
% 171.35/26.19  | | | |   (132)  all_54_2 = e0
% 171.35/26.19  | | | | 
% 171.35/26.19  | | | | REF_CLOSE: (27), (101), (132) are inconsistent by sub-proof #763.
% 171.35/26.19  | | | | 
% 171.35/26.19  | | | Case 2:
% 171.35/26.19  | | | | 
% 171.35/26.19  | | | |   (133)   ~ (all_54_2 = e0)
% 171.35/26.19  | | | |   (134)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1
% 171.35/26.19  | | | | 
% 171.35/26.19  | | | | BETA: splitting (15) gives:
% 171.35/26.19  | | | | 
% 171.35/26.19  | | | | Case 1:
% 171.35/26.19  | | | | | 
% 171.35/26.19  | | | | |   (135)  all_54_6 = e0
% 171.35/26.19  | | | | | 
% 171.35/26.19  | | | | | COMBINE_EQS: (14), (135) imply:
% 171.35/26.19  | | | | |   (136)  all_52_9 = e0
% 171.35/26.19  | | | | | 
% 171.35/26.19  | | | | | REDUCE: (116), (136) imply:
% 171.35/26.19  | | | | |   (137)  $false
% 171.35/26.19  | | | | | 
% 171.35/26.19  | | | | | CLOSE: (137) is inconsistent.
% 171.35/26.19  | | | | | 
% 171.35/26.19  | | | | Case 2:
% 171.35/26.19  | | | | | 
% 171.35/26.19  | | | | |   (138)   ~ (all_54_6 = e0)
% 171.35/26.19  | | | | |   (139)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 171.35/26.19  | | | | | 
% 171.35/26.19  | | | | | BETA: splitting (16) gives:
% 171.35/26.19  | | | | | 
% 171.35/26.19  | | | | | Case 1:
% 171.35/26.19  | | | | | | 
% 171.35/26.19  | | | | | |   (140)  all_54_11 = e0
% 171.35/26.19  | | | | | | 
% 171.35/26.19  | | | | | | COMBINE_EQS: (105), (140) imply:
% 171.35/26.19  | | | | | |   (141)  all_52_14 = e0
% 171.35/26.19  | | | | | | 
% 171.35/26.19  | | | | | | REDUCE: (96), (141) imply:
% 171.35/26.19  | | | | | |   (142)  $false
% 171.35/26.19  | | | | | | 
% 171.35/26.19  | | | | | | CLOSE: (142) is inconsistent.
% 171.35/26.19  | | | | | | 
% 171.35/26.19  | | | | | Case 2:
% 171.35/26.19  | | | | | | 
% 171.35/26.19  | | | | | |   (143)   ~ (all_54_11 = e0)
% 171.35/26.19  | | | | | |   (144)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 171.35/26.19  | | | | | | 
% 171.35/26.19  | | | | | | BETA: splitting (44) gives:
% 171.35/26.19  | | | | | | 
% 171.35/26.19  | | | | | | Case 1:
% 171.35/26.19  | | | | | | | 
% 171.35/26.19  | | | | | | |   (145)  all_54_1 = e0
% 171.35/26.19  | | | | | | | 
% 171.35/26.19  | | | | | | | REF_CLOSE: (12), (25), (145) are inconsistent by sub-proof #866.
% 171.35/26.19  | | | | | | | 
% 171.35/26.19  | | | | | | Case 2:
% 171.35/26.19  | | | | | | | 
% 171.35/26.19  | | | | | | |   (146)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 171.35/26.19  | | | | | | | 
% 171.35/26.19  | | | | | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (11), (12),
% 171.35/26.19  | | | | | | |            (13), (14), (18), (19), (20), (21), (22), (23), (26),
% 171.35/26.19  | | | | | | |            (27), (28), (29), (30), (31), (33), (34), (35), (36),
% 171.35/26.19  | | | | | | |            (37), (38), (40), (42), (43), (45), (47), (48), (49),
% 171.35/26.19  | | | | | | |            (51), (52), (53), (55), (57), (58), (59), (60), (61),
% 171.35/26.19  | | | | | | |            (62), (63), (65), (66), (67), (69), (70), (71), (72),
% 171.35/26.19  | | | | | | |            (73), (74), (75), (76), (77), (78), (79), (80), (82),
% 171.35/26.19  | | | | | | |            (83), (84), (86), (88), (89), (90), (92), (93), (94),
% 171.35/26.19  | | | | | | |            (96), (97), (98), (99), (100), (101), (102), (104),
% 171.35/26.19  | | | | | | |            (105), (114), (115), (116), (119), (121), (125), (126),
% 171.35/26.19  | | | | | | |            (127), (128), (129), (130), (131), (134), (139), (144),
% 171.35/26.19  | | | | | | |            (146) are inconsistent by sub-proof #581.
% 171.35/26.19  | | | | | | | 
% 171.35/26.19  | | | | | | End of split
% 171.35/26.19  | | | | | | 
% 171.35/26.19  | | | | | End of split
% 171.35/26.19  | | | | | 
% 171.35/26.19  | | | | End of split
% 171.35/26.19  | | | | 
% 171.35/26.19  | | | End of split
% 171.35/26.19  | | | 
% 171.35/26.19  | | Case 2:
% 171.35/26.19  | | | 
% 171.35/26.19  | | |   (147)  all_56_11 = e0
% 171.35/26.19  | | | 
% 171.35/26.19  | | | REF_CLOSE: (28), (96), (147) are inconsistent by sub-proof #873.
% 171.35/26.19  | | | 
% 171.35/26.19  | | End of split
% 171.35/26.19  | | 
% 171.35/26.19  | End of split
% 171.35/26.19  | 
% 171.35/26.19  End of proof
% 171.35/26.19  
% 171.35/26.19  Sub-proof #146 shows that the following formulas are inconsistent:
% 171.35/26.19  ----------------------------------------------------------------
% 171.35/26.19    (1)   ~ (all_52_12 = all_14_2)
% 171.35/26.19    (2)  all_54_8 = all_52_2
% 171.35/26.19    (3)  all_56_1 = all_52_4
% 171.35/26.19    (4)  all_56_12 = all_52_3
% 171.35/26.19    (5)  op(e1, e3) = all_52_2
% 171.35/26.19    (6)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.35/26.19    (7)  op(e1, all_52_14) = all_58_11
% 171.35/26.19    (8)   ~ (all_10_2 = e0)
% 171.35/26.19    (9)   ~ (all_52_8 = all_52_12)
% 171.35/26.19    (10)   ~ (e3 = e1)
% 171.35/26.19    (11)  all_58_23 = all_52_7
% 171.35/26.19    (12)   ~ (all_52_2 = all_6_2)
% 171.35/26.19    (13)  all_8_2 = all_6_2
% 171.35/26.19    (14)   ~ (all_52_4 = all_4_2)
% 171.35/26.19    (15)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.35/26.19    (16)  all_56_5 = all_52_9
% 171.35/26.19    (17)   ~ (all_52_3 = all_52_11)
% 171.35/26.19    (18)  op(all_6_2, e3) = all_6_1
% 171.35/26.19    (19)   ~ (all_52_12 = all_6_2)
% 171.35/26.19    (20)   ~ (all_52_6 = all_4_2)
% 171.35/26.19    (21)  op(e1, e0) = all_52_14
% 171.35/26.19    (22)  all_56_15 = all_14_2
% 171.35/26.19    (23)  all_54_1 = all_52_4
% 171.35/26.19    (24)   ~ (all_52_9 = all_4_2)
% 171.35/26.19    (25)   ~ (all_52_3 = all_52_7)
% 171.35/26.19    (26)  all_56_14 = all_52_11
% 171.35/26.19    (27)   ~ (all_52_13 = all_4_2)
% 171.35/26.19    (28)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.35/26.19    (29)  op(e0, all_52_3) = all_58_12
% 171.35/26.19    (30)  all_56_8 = all_10_2
% 171.35/26.19    (31)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.35/26.19    (32)  all_58_26 = all_10_2
% 171.35/26.19    (33)   ~ (all_52_4 = all_52_6)
% 171.35/26.19    (34)  all_58_31 = all_14_2
% 171.35/26.19    (35)   ~ (all_52_11 = all_10_2)
% 171.35/26.19    (36)   ~ (all_52_3 = all_6_2)
% 171.35/26.19    (37)   ~ (all_52_1 = all_6_2)
% 171.35/26.19    (38)  all_56_11 = all_52_14
% 171.35/26.19    (39)   ~ (all_52_6 = all_52_7)
% 171.35/26.19    (40)   ~ (all_4_1 = e0)
% 171.35/26.19    (41)  all_56_0 = all_6_2
% 171.35/26.19    (42)   ~ (all_52_9 = all_10_2)
% 171.35/26.19    (43)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.35/26.19    (44)  all_58_30 = all_52_14
% 171.35/26.19    (45)  all_58_27 = all_52_11
% 171.35/26.19    (46)  all_54_14 = all_52_11
% 171.35/26.19    (47)  op(e3, e2) = all_52_4
% 171.35/26.19    (48)  op(all_4_2, e2) = all_4_1
% 171.35/26.19    (49)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 171.35/26.19    (50)  all_58_17 = all_52_1
% 171.35/26.19    (51)  op(e3, e1) = all_52_8
% 171.35/26.19    (52)  op(e2, all_4_2) = all_58_5
% 171.35/26.19    (53)  all_58_20 = e0
% 171.35/26.19    (54)  all_58_19 = all_52_3
% 171.35/26.19    (55)  all_56_9 = all_52_12
% 171.35/26.19    (56)   ~ (all_52_2 = all_52_6)
% 171.35/26.19    (57)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 171.35/26.20    (58)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 171.35/26.20    (59)  op(e2, e2) = all_4_2
% 171.35/26.20    (60)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 171.35/26.20    (61)   ~ (e3 = e2)
% 171.35/26.20    (62)  op(e3, all_52_8) = all_58_2
% 171.35/26.20    (63)   ~ (all_52_4 = all_52_7)
% 171.35/26.20    (64)   ~ (e2 = e1)
% 171.35/26.20    (65)   ~ (all_52_6 = all_10_2)
% 171.35/26.20    (66)   ~ (all_52_7 = all_14_2)
% 171.35/26.20    (67)  all_56_1 = e0
% 171.35/26.20    (68)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 171.35/26.20    (69)   ~ (all_52_13 = all_14_2)
% 171.35/26.20    (70)   ~ (all_52_1 = all_4_2)
% 171.35/26.20    (71)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.35/26.20    (72)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.35/26.20    (73)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 171.35/26.20    (74)   ~ (all_52_13 = all_52_14)
% 171.35/26.20    (75)  op(e2, e3) = all_52_1
% 171.35/26.20    (76)  all_58_18 = all_52_2
% 171.35/26.20    (77)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.35/26.20    (78)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 171.35/26.20    (79)  all_58_16 = all_6_2
% 171.35/26.20    (80)  all_56_13 = all_52_7
% 171.35/26.20    (81)  op(e0, e3) = all_52_3
% 171.35/26.20    (82)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 171.35/26.20    (83)   ~ (all_52_8 = all_52_9)
% 171.35/26.20    (84)   ~ (all_52_4 = all_6_2)
% 171.35/26.20    (85)  all_56_2 = all_52_1
% 171.35/26.20    (86)   ~ (e3 = e0)
% 171.35/26.20    (87)  all_58_29 = all_52_13
% 171.35/26.20    (88)   ~ (all_52_1 = all_52_2)
% 171.35/26.20    (89)  op(e3, e2) = e0
% 171.35/26.20    (90)   ~ (all_4_2 = e0)
% 171.35/26.20    (91)   ~ (all_6_2 = e0)
% 171.35/26.20    (92)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 171.35/26.20    (93)   ~ (all_52_6 = all_52_14)
% 171.35/26.20    (94)   ~ (all_52_7 = all_4_2)
% 171.35/26.20    (95)  all_56_4 = all_52_8
% 171.35/26.20    (96)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.35/26.20    (97)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 171.35/26.20    (98)   ~ (all_52_1 = all_52_13)
% 171.35/26.20    (99)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 171.35/26.20    (100)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 171.35/26.20    (101)  all_58_20 = all_52_4
% 171.35/26.20    (102)  all_54_13 = all_52_7
% 171.35/26.20    (103)   ~ (all_52_7 = all_52_11)
% 171.35/26.20    (104)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 171.35/26.20    (105)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 171.35/26.20    (106)   ~ (all_52_8 = all_52_11)
% 171.35/26.20    (107)   ~ (all_52_8 = all_6_2)
% 171.35/26.20    (108)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 171.35/26.20    (109)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.35/26.20    (110)  all_56_6 = all_52_2
% 171.35/26.20    (111)   ~ (all_52_1 = all_52_9)
% 171.35/26.20    (112)   ~ (all_56_6 = e0)
% 171.35/26.20    (113)   ~ (all_52_7 = e0)
% 171.35/26.20    (114)  all_58_24 = all_52_8
% 171.35/26.20    (115)   ~ (all_52_12 = all_52_14)
% 171.35/26.20    (116)   ~ (all_52_9 = all_52_11)
% 171.35/26.20    (117)  all_58_22 = all_52_6
% 171.35/26.20    (118)   ~ (all_52_4 = all_52_12)
% 171.35/26.20    (119)  all_56_3 = all_4_2
% 171.35/26.20    (120)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 171.35/26.20    (121)  all_54_0 = all_6_2
% 171.35/26.20    (122)   ~ (all_52_14 = all_10_2)
% 171.35/26.20    (123)   ~ (all_52_2 = all_52_3)
% 171.35/26.20    (124)   ~ (all_52_4 = all_52_8)
% 171.35/26.20    (125)   ~ (all_52_14 = all_14_2)
% 171.35/26.20    (126)  all_58_25 = all_52_9
% 171.35/26.20    (127)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.35/26.20             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.35/26.20    (128)   ~ (all_52_6 = e0)
% 171.35/26.20    (129)  all_54_12 = all_52_3
% 171.35/26.20    (130)   ~ (all_52_2 = all_52_14)
% 171.35/26.20    (131)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.35/26.20    (132)  all_58_21 = all_4_2
% 171.35/26.20    (133)  all_56_10 = all_52_13
% 171.35/26.20    (134)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.35/26.20    (135)   ~ (e2 = e0)
% 171.35/26.20    (136)   ~ (all_52_1 = all_52_3)
% 171.35/26.20    (137)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 171.35/26.20    (138)  all_8_1 = all_6_1
% 171.35/26.20    (139)  all_58_28 = all_52_12
% 171.35/26.20    (140)   ~ (e1 = e0)
% 171.35/26.20    (141)  all_54_4 = all_52_1
% 171.35/26.20    (142)  all_56_7 = all_52_6
% 171.35/26.20    (143)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 171.35/26.20             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 171.35/26.20             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 171.35/26.20             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 171.35/26.20             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 171.35/26.20             (all_58_15 = e0))
% 171.35/26.20    (144)  all_54_5 = all_4_2
% 171.35/26.20    (145)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 171.35/26.20    (146)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 171.35/26.20    (147)   ~ (all_52_2 = all_10_2)
% 171.35/26.20    (148)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 171.35/26.20    (149)   ~ (all_52_12 = all_52_13)
% 171.35/26.20  
% 171.35/26.20  Begin of proof
% 171.35/26.20  | 
% 171.35/26.20  | REDUCE: (110), (112) imply:
% 171.35/26.20  |   (150)   ~ (all_52_2 = e0)
% 171.35/26.20  | 
% 171.35/26.20  | BETA: splitting (104) gives:
% 171.35/26.20  | 
% 171.35/26.20  | Case 1:
% 171.35/26.20  | | 
% 171.35/26.20  | |   (151)  all_56_0 = e0
% 171.35/26.20  | | 
% 171.35/26.20  | | COMBINE_EQS: (41), (151) imply:
% 171.35/26.20  | |   (152)  all_6_2 = e0
% 171.35/26.20  | | 
% 171.35/26.20  | | REDUCE: (91), (152) imply:
% 171.35/26.20  | |   (153)  $false
% 171.35/26.20  | | 
% 171.35/26.20  | | CLOSE: (153) is inconsistent.
% 171.35/26.20  | | 
% 171.35/26.20  | Case 2:
% 171.35/26.20  | | 
% 171.35/26.20  | |   (154)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 171.35/26.20  | | 
% 171.35/26.20  | | BETA: splitting (96) gives:
% 171.35/26.20  | | 
% 171.35/26.20  | | Case 1:
% 171.35/26.20  | | | 
% 171.35/26.20  | | |   (155)  all_56_2 = e0
% 171.35/26.20  | | | 
% 171.35/26.20  | | | REF_CLOSE: (4), (6), (7), (8), (10), (11), (12), (15), (19), (20), (21),
% 171.35/26.20  | | |            (27), (29), (30), (31), (34), (36), (37), (38), (40), (41),
% 171.35/26.20  | | |            (44), (48), (50), (51), (52), (53), (54), (55), (56), (59),
% 171.35/26.20  | | |            (60), (62), (67), (70), (71), (76), (77), (79), (81), (85),
% 171.35/26.20  | | |            (86), (87), (89), (95), (97), (99), (100), (105), (110), (113),
% 171.35/26.20  | | |            (117), (119), (120), (121), (123), (125), (127), (128), (129),
% 171.35/26.20  | | |            (130), (131), (132), (135), (136), (139), (140), (142), (143),
% 171.35/26.20  | | |            (144), (145), (148), (155) are inconsistent by sub-proof #184.
% 171.35/26.20  | | | 
% 171.35/26.20  | | Case 2:
% 171.35/26.20  | | | 
% 171.35/26.20  | | |   (156)   ~ (all_56_2 = e0)
% 171.35/26.20  | | | 
% 171.35/26.20  | | | REDUCE: (85), (156) imply:
% 171.35/26.20  | | |   (157)   ~ (all_52_1 = e0)
% 171.35/26.20  | | | 
% 171.35/26.20  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (11), (12), (13), (14),
% 171.35/26.20  | | |            (16), (17), (18), (19), (20), (22), (23), (24), (25), (26),
% 171.35/26.20  | | |            (27), (28), (30), (31), (32), (33), (34), (35), (36), (37),
% 171.35/26.20  | | |            (38), (39), (40), (41), (42), (43), (44), (45), (46), (47),
% 171.35/26.20  | | |            (48), (49), (55), (56), (57), (58), (60), (61), (63), (64),
% 171.35/26.20  | | |            (65), (66), (68), (69), (70), (71), (72), (73), (74), (75),
% 171.35/26.20  | | |            (77), (78), (80), (82), (83), (84), (85), (86), (87), (88),
% 171.35/26.20  | | |            (90), (92), (93), (94), (95), (96), (98), (101), (102), (103),
% 171.35/26.20  | | |            (105), (106), (107), (108), (109), (110), (111), (114), (115),
% 171.35/26.20  | | |            (116), (117), (118), (119), (121), (122), (124), (125), (126),
% 171.35/26.20  | | |            (127), (130), (131), (132), (133), (134), (135), (136), (137),
% 171.35/26.20  | | |            (138), (139), (140), (141), (142), (144), (146), (147), (148),
% 171.35/26.20  | | |            (149), (150), (154), (157) are inconsistent by sub-proof #158.
% 171.35/26.20  | | | 
% 171.35/26.20  | | End of split
% 171.35/26.20  | | 
% 171.35/26.20  | End of split
% 171.35/26.20  | 
% 171.35/26.20  End of proof
% 171.35/26.20  
% 171.35/26.20  Sub-proof #147 shows that the following formulas are inconsistent:
% 171.35/26.20  ----------------------------------------------------------------
% 171.35/26.20    (1)   ~ (all_52_12 = all_14_2)
% 171.35/26.20    (2)  all_56_1 = all_52_4
% 171.35/26.20    (3)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 171.35/26.20    (4)  all_56_12 = all_52_3
% 171.35/26.20    (5)  op(e1, e3) = all_52_2
% 171.35/26.20    (6)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.35/26.20    (7)  op(e1, all_52_14) = all_58_11
% 171.35/26.20    (8)   ~ (all_10_2 = e0)
% 171.35/26.20    (9)   ~ (all_52_8 = all_52_12)
% 171.35/26.20    (10)   ~ (e3 = e1)
% 171.35/26.20    (11)  all_58_23 = all_52_7
% 171.35/26.20    (12)   ~ (all_52_2 = all_6_2)
% 171.35/26.20    (13)   ~ (all_52_3 = all_14_2)
% 171.35/26.20    (14)   ~ (all_52_4 = all_4_2)
% 171.35/26.20    (15)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.35/26.20    (16)  all_54_3 = all_52_12
% 171.35/26.20    (17)  all_56_5 = all_52_9
% 171.35/26.20    (18)  op(e1, all_14_2) = all_14_0
% 171.35/26.20    (19)   ~ (all_52_3 = all_52_11)
% 171.35/26.20    (20)  op(all_6_2, e3) = all_6_1
% 171.35/26.20    (21)   ~ (all_52_12 = all_6_2)
% 171.35/26.20    (22)  op(e2, e0) = all_52_13
% 171.35/26.20    (23)  op(e3, all_6_2) = all_58_0
% 171.35/26.20    (24)  op(e1, e0) = all_52_14
% 171.35/26.20    (25)  all_54_1 = all_52_4
% 171.35/26.20    (26)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 171.35/26.20    (27)   ~ (all_52_9 = all_4_2)
% 171.35/26.20    (28)   ~ (all_52_3 = all_52_7)
% 171.35/26.20    (29)  all_56_14 = all_52_11
% 171.35/26.20    (30)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.35/26.20    (31)  all_56_8 = all_10_2
% 171.35/26.20    (32)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.35/26.20    (33)  all_58_26 = all_10_2
% 171.35/26.20    (34)   ~ (all_52_4 = all_52_6)
% 171.35/26.20    (35)  all_58_31 = all_14_2
% 171.35/26.20    (36)   ~ (all_52_11 = all_10_2)
% 171.35/26.20    (37)   ~ (all_52_9 = all_52_13)
% 171.35/26.20    (38)   ~ (all_52_3 = all_6_2)
% 171.35/26.20    (39)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 171.35/26.20    (40)   ~ (all_52_4 = e0)
% 171.35/26.20    (41)   ~ (all_52_1 = all_6_2)
% 171.35/26.20    (42)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 171.35/26.20    (43)  all_56_11 = all_52_14
% 171.35/26.20    (44)   ~ (all_52_6 = all_52_7)
% 171.35/26.20    (45)  all_56_0 = all_6_2
% 171.35/26.20    (46)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.35/26.20    (47)  all_58_30 = all_52_14
% 171.35/26.20    (48)  all_58_27 = all_52_11
% 171.35/26.20    (49)  all_54_14 = all_52_11
% 171.35/26.20    (50)  all_58_17 = all_52_1
% 171.35/26.20    (51)  all_58_19 = all_52_3
% 171.35/26.20    (52)  all_56_9 = all_52_12
% 171.35/26.20    (53)   ~ (all_52_2 = all_52_6)
% 171.35/26.20    (54)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 171.35/26.20    (55)  all_28_0 = all_14_0
% 171.35/26.20    (56)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 171.35/26.20    (57)   ~ (e3 = e2)
% 171.35/26.20    (58)   ~ (e2 = e1)
% 171.35/26.20    (59)   ~ (all_52_6 = all_10_2)
% 171.35/26.20    (60)   ~ (all_52_7 = all_14_2)
% 171.35/26.20    (61)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 171.35/26.20    (62)   ~ (all_52_13 = all_14_2)
% 171.35/26.20    (63)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.35/26.20    (64)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.35/26.20    (65)  all_54_9 = all_52_6
% 171.35/26.20    (66)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 171.35/26.20    (67)   ~ (all_52_13 = all_52_14)
% 171.35/26.20    (68)  all_58_18 = all_52_2
% 171.35/26.20    (69)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.35/26.20    (70)  all_58_16 = all_6_2
% 171.35/26.20    (71)  all_56_13 = all_52_7
% 171.35/26.20    (72)  op(e0, e3) = all_52_3
% 171.35/26.20    (73)   ~ (all_52_8 = all_52_9)
% 171.35/26.20    (74)   ~ (all_52_4 = all_6_2)
% 171.35/26.20    (75)  all_56_2 = all_52_1
% 171.35/26.20    (76)   ~ (e3 = e0)
% 171.35/26.20    (77)  op(e3, e0) = all_52_12
% 171.35/26.20    (78)  all_58_29 = all_52_13
% 171.35/26.20    (79)   ~ (all_52_1 = all_52_2)
% 171.35/26.20    (80)   ~ (all_4_2 = e0)
% 171.35/26.20    (81)   ~ (all_52_6 = all_52_14)
% 171.35/26.20    (82)  all_56_4 = all_52_8
% 171.35/26.20    (83)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.35/26.20    (84)   ~ (all_52_1 = all_52_13)
% 171.35/26.20    (85)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 171.35/26.20    (86)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 171.35/26.20    (87)  all_58_20 = all_52_4
% 171.35/26.20    (88)  all_54_15 = all_14_2
% 171.35/26.20    (89)   ~ (all_52_7 = all_52_11)
% 171.35/26.20    (90)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 171.35/26.20    (91)   ~ (all_52_8 = all_52_11)
% 171.35/26.20    (92)   ~ (all_52_8 = all_6_2)
% 171.35/26.20    (93)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 171.35/26.20    (94)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.35/26.20    (95)  all_56_6 = all_52_2
% 171.35/26.20    (96)  all_58_13 = all_14_2
% 171.35/26.20    (97)   ~ (all_52_1 = all_52_9)
% 171.35/26.20    (98)  all_58_24 = all_52_8
% 171.35/26.20    (99)   ~ (all_52_12 = all_52_14)
% 171.35/26.20    (100)   ~ (all_52_9 = all_52_11)
% 171.35/26.20    (101)  all_58_22 = all_52_6
% 171.35/26.20    (102)   ~ (all_52_4 = all_52_12)
% 171.35/26.20    (103)  all_56_3 = all_4_2
% 171.35/26.20    (104)  all_54_0 = all_6_2
% 171.35/26.20    (105)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 171.35/26.20    (106)   ~ (all_52_2 = all_52_3)
% 171.35/26.20    (107)   ~ (all_52_14 = all_14_2)
% 171.35/26.20    (108)  all_58_25 = all_52_9
% 171.35/26.20    (109)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.35/26.20    (110)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.35/26.20             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.35/26.20    (111)   ~ (all_52_6 = e0)
% 171.35/26.20    (112)  all_54_12 = all_52_3
% 171.35/26.20    (113)   ~ (all_52_2 = all_52_14)
% 171.35/26.20    (114)  all_58_21 = all_4_2
% 171.35/26.20    (115)  all_56_10 = all_52_13
% 171.35/26.20    (116)   ~ (all_52_3 = e0)
% 171.35/26.20    (117)  op(e2, all_52_9) = all_58_6
% 171.35/26.20    (118)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.35/26.20    (119)   ~ (e2 = e0)
% 171.35/26.20    (120)   ~ (all_52_1 = all_52_3)
% 171.35/26.20    (121)  all_58_28 = all_52_12
% 171.35/26.20    (122)  op(e1, all_52_6) = all_58_9
% 171.35/26.20    (123)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 171.35/26.20    (124)   ~ (e1 = e0)
% 171.35/26.20    (125)  all_54_4 = all_52_1
% 171.35/26.20    (126)  all_56_7 = all_52_6
% 171.35/26.20    (127)  all_28_2 = all_14_2
% 171.35/26.20    (128)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 171.35/26.20             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 171.35/26.20             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 171.35/26.20             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 171.35/26.20             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 171.35/26.20             (all_58_15 = e0))
% 171.35/26.20    (129)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 171.35/26.20    (130)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 171.35/26.20           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 171.35/26.20           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.35/26.20           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 171.35/26.20           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.35/26.20           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 171.35/26.20           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.35/26.20           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 171.35/26.20           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 171.35/26.20           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 171.35/26.20             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 171.35/26.20             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 171.35/26.20             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 171.35/26.20             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 171.35/26.20             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 171.35/26.20             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 171.35/26.20             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 171.35/26.20             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 171.35/26.20             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 171.35/26.20             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 171.35/26.20             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 171.35/26.20             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 171.35/26.20             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 171.35/26.20             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 171.35/26.20             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 171.35/26.20             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 171.35/26.20           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 171.35/26.20           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 171.35/26.20           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 171.35/26.20             all_58_30 = e0 & e1 = e0)
% 171.35/26.20    (131)  all_54_7 = all_52_13
% 171.35/26.20    (132)  all_58_23 = e0
% 171.35/26.20    (133)   ~ (all_52_2 = all_10_2)
% 171.35/26.20    (134)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 171.35/26.20    (135)   ~ (all_28_0 = e2) |  ~ (all_28_2 = e3)
% 171.35/26.20    (136)   ~ (all_52_12 = all_52_13)
% 171.35/26.20  
% 171.35/26.20  Begin of proof
% 171.35/26.20  | 
% 171.35/26.20  | BETA: splitting (56) gives:
% 171.35/26.20  | 
% 171.35/26.20  | Case 1:
% 171.35/26.20  | | 
% 171.35/26.20  | |   (137)  all_56_7 = e0
% 171.35/26.20  | | 
% 171.35/26.20  | | COMBINE_EQS: (126), (137) imply:
% 171.35/26.20  | |   (138)  all_52_6 = e0
% 171.35/26.20  | | 
% 171.35/26.20  | | REDUCE: (111), (138) imply:
% 171.35/26.20  | |   (139)  $false
% 171.35/26.20  | | 
% 171.35/26.20  | | CLOSE: (139) is inconsistent.
% 171.35/26.20  | | 
% 171.35/26.20  | Case 2:
% 171.35/26.20  | | 
% 171.35/26.20  | |   (140)  all_56_8 = e0 | all_56_11 = e0
% 171.35/26.20  | | 
% 171.35/26.20  | | BETA: splitting (140) gives:
% 171.35/26.20  | | 
% 171.35/26.20  | | Case 1:
% 171.35/26.20  | | | 
% 171.35/26.20  | | |   (141)  all_56_8 = e0
% 171.35/26.20  | | | 
% 171.35/26.20  | | | COMBINE_EQS: (31), (141) imply:
% 171.35/26.20  | | |   (142)  all_10_2 = e0
% 171.35/26.20  | | | 
% 171.35/26.20  | | | REDUCE: (8), (142) imply:
% 171.35/26.20  | | |   (143)  $false
% 171.35/26.20  | | | 
% 171.35/26.20  | | | CLOSE: (143) is inconsistent.
% 171.35/26.20  | | | 
% 171.35/26.20  | | Case 2:
% 171.35/26.20  | | | 
% 171.35/26.20  | | |   (144)  all_56_11 = e0
% 171.35/26.20  | | | 
% 171.35/26.20  | | | COMBINE_EQS: (43), (144) imply:
% 171.35/26.20  | | |   (145)  all_52_14 = e0
% 171.35/26.20  | | | 
% 171.35/26.20  | | | SIMP: (145) implies:
% 171.35/26.20  | | |   (146)  all_52_14 = e0
% 171.35/26.20  | | | 
% 171.35/26.20  | | | COMBINE_EQS: (47), (146) imply:
% 171.35/26.20  | | |   (147)  all_58_30 = e0
% 171.35/26.20  | | | 
% 171.35/26.20  | | | REDUCE: (113), (146) imply:
% 171.35/26.20  | | |   (148)   ~ (all_52_2 = e0)
% 171.35/26.20  | | | 
% 171.35/26.20  | | | REDUCE: (99), (146) imply:
% 171.35/26.20  | | |   (149)   ~ (all_52_12 = e0)
% 171.35/26.20  | | | 
% 171.35/26.20  | | | REDUCE: (67), (146) imply:
% 171.35/26.20  | | |   (150)   ~ (all_52_13 = e0)
% 171.35/26.20  | | | 
% 171.35/26.20  | | | REDUCE: (107), (146) imply:
% 171.35/26.20  | | |   (151)   ~ (all_14_2 = e0)
% 171.35/26.20  | | | 
% 171.35/26.20  | | | SIMP: (151) implies:
% 171.35/26.20  | | |   (152)   ~ (all_14_2 = e0)
% 171.35/26.20  | | | 
% 171.35/26.20  | | | REDUCE: (7), (146) imply:
% 171.35/26.20  | | |   (153)  op(e1, e0) = all_58_11
% 171.35/26.20  | | | 
% 171.35/26.20  | | | REDUCE: (24), (146) imply:
% 171.35/26.20  | | |   (154)  op(e1, e0) = e0
% 171.35/26.20  | | | 
% 171.35/26.20  | | | GROUND_INST: instantiating (110) with e0, all_58_11, e0, e1, simplifying
% 171.35/26.20  | | |              with (153), (154) gives:
% 171.35/26.20  | | |   (155)  all_58_11 = e0
% 171.35/26.20  | | | 
% 171.35/26.20  | | | BETA: splitting (90) gives:
% 171.35/26.20  | | | 
% 171.35/26.20  | | | Case 1:
% 171.35/26.20  | | | | 
% 171.35/26.20  | | | |   (156)  all_56_0 = e0
% 171.35/26.20  | | | | 
% 171.35/26.20  | | | | REF_CLOSE: (1), (2), (4), (9), (12), (14), (15), (16), (17), (19), (20),
% 171.35/26.20  | | | |            (21), (22), (23), (25), (26), (29), (31), (32), (33), (34),
% 171.35/26.20  | | | |            (35), (36), (37), (38), (39), (41), (42), (45), (46), (48),
% 171.35/26.20  | | | |            (49), (50), (51), (52), (53), (54), (57), (58), (59), (61),
% 171.35/26.20  | | | |            (62), (64), (65), (66), (68), (69), (70), (72), (74), (75),
% 171.35/26.20  | | | |            (76), (77), (78), (79), (80), (82), (83), (84), (85), (87),
% 171.35/26.20  | | | |            (88), (91), (93), (95), (96), (97), (98), (100), (101),
% 171.35/26.20  | | | |            (102), (103), (105), (108), (109), (110), (111), (114),
% 171.35/26.20  | | | |            (115), (117), (118), (119), (120), (121), (123), (124),
% 171.35/26.20  | | | |            (125), (126), (128), (129), (130), (131), (132), (133),
% 171.35/26.20  | | | |            (134), (136), (147), (150), (152), (155), (156) are
% 171.35/26.20  | | | |            inconsistent by sub-proof #150.
% 171.35/26.20  | | | | 
% 171.35/26.20  | | | Case 2:
% 171.35/26.20  | | | | 
% 171.35/26.20  | | | |   (157)   ~ (all_56_0 = e0)
% 171.35/26.20  | | | | 
% 171.35/26.20  | | | | REDUCE: (45), (157) imply:
% 171.35/26.20  | | | |   (158)   ~ (all_6_2 = e0)
% 171.35/26.20  | | | | 
% 171.35/26.20  | | | | REF_CLOSE: (2), (3), (4), (5), (6), (10), (11), (12), (13), (15), (17),
% 171.35/26.20  | | | |            (18), (21), (27), (28), (29), (30), (31), (32), (33), (35),
% 171.35/26.20  | | | |            (36), (37), (38), (39), (40), (44), (45), (46), (48), (50),
% 171.35/26.20  | | | |            (51), (52), (53), (55), (57), (58), (59), (60), (62), (63),
% 171.35/26.20  | | | |            (65), (68), (69), (70), (71), (73), (75), (76), (78), (80),
% 171.35/26.20  | | | |            (82), (83), (85), (86), (88), (89), (91), (92), (94), (95),
% 171.35/26.20  | | | |            (98), (100), (103), (104), (105), (106), (108), (109), (110),
% 171.35/26.20  | | | |            (112), (114), (115), (116), (119), (121), (122), (124),
% 171.35/26.20  | | | |            (126), (127), (130), (133), (135), (147), (148), (149),
% 171.35/26.20  | | | |            (150), (158) are inconsistent by sub-proof #148.
% 171.35/26.20  | | | | 
% 171.35/26.20  | | | End of split
% 171.35/26.20  | | | 
% 171.35/26.20  | | End of split
% 171.35/26.20  | | 
% 171.35/26.20  | End of split
% 171.35/26.20  | 
% 171.35/26.20  End of proof
% 171.35/26.20  
% 171.35/26.20  Sub-proof #148 shows that the following formulas are inconsistent:
% 171.35/26.20  ----------------------------------------------------------------
% 171.35/26.20    (1)  all_56_1 = all_52_4
% 171.35/26.20    (2)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 171.35/26.20    (3)  all_56_12 = all_52_3
% 171.35/26.20    (4)  op(e1, e3) = all_52_2
% 171.35/26.20    (5)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.35/26.20    (6)   ~ (e3 = e1)
% 171.35/26.20    (7)  all_58_23 = all_52_7
% 171.35/26.20    (8)   ~ (all_52_2 = all_6_2)
% 171.35/26.20    (9)   ~ (all_52_3 = all_14_2)
% 171.35/26.20    (10)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.35/26.20    (11)  all_56_5 = all_52_9
% 171.35/26.20    (12)  op(e1, all_14_2) = all_14_0
% 171.35/26.20    (13)   ~ (all_52_12 = all_6_2)
% 171.35/26.20    (14)   ~ (all_52_9 = all_4_2)
% 171.35/26.20    (15)   ~ (all_52_3 = all_52_7)
% 171.35/26.20    (16)  all_56_14 = all_52_11
% 171.35/26.20    (17)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.35/26.20    (18)  all_56_8 = all_10_2
% 171.35/26.20    (19)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.35/26.20    (20)  all_58_30 = e0
% 171.35/26.20    (21)  all_58_26 = all_10_2
% 171.35/26.20    (22)  all_58_31 = all_14_2
% 171.35/26.20    (23)   ~ (all_52_11 = all_10_2)
% 171.35/26.20    (24)   ~ (all_52_9 = all_52_13)
% 171.35/26.20    (25)   ~ (all_52_3 = all_6_2)
% 171.35/26.20    (26)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 171.35/26.20    (27)   ~ (all_52_4 = e0)
% 171.35/26.20    (28)   ~ (all_52_6 = all_52_7)
% 171.35/26.20    (29)  all_56_0 = all_6_2
% 171.35/26.20    (30)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.35/26.20    (31)  all_58_27 = all_52_11
% 171.35/26.20    (32)  all_58_17 = all_52_1
% 171.35/26.20    (33)  all_58_19 = all_52_3
% 171.35/26.20    (34)  all_56_9 = all_52_12
% 171.35/26.20    (35)   ~ (all_52_2 = all_52_6)
% 171.35/26.20    (36)  all_28_0 = all_14_0
% 171.35/26.20    (37)   ~ (e3 = e2)
% 171.35/26.20    (38)   ~ (e2 = e1)
% 171.35/26.20    (39)   ~ (all_52_6 = all_10_2)
% 171.35/26.20    (40)   ~ (all_52_2 = e0)
% 171.35/26.20    (41)   ~ (all_52_7 = all_14_2)
% 171.35/26.20    (42)   ~ (all_52_13 = all_14_2)
% 171.35/26.20    (43)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.35/26.20    (44)  all_54_9 = all_52_6
% 171.35/26.20    (45)  all_58_18 = all_52_2
% 171.35/26.20    (46)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.35/26.20    (47)  all_58_16 = all_6_2
% 171.35/26.20    (48)  all_56_13 = all_52_7
% 171.35/26.20    (49)   ~ (all_52_12 = e0)
% 171.35/26.20    (50)   ~ (all_52_8 = all_52_9)
% 171.35/26.20    (51)  all_56_2 = all_52_1
% 171.35/26.20    (52)   ~ (e3 = e0)
% 171.35/26.20    (53)  all_58_29 = all_52_13
% 171.35/26.20    (54)   ~ (all_52_13 = e0)
% 171.35/26.20    (55)   ~ (all_4_2 = e0)
% 171.35/26.20    (56)   ~ (all_6_2 = e0)
% 171.35/26.20    (57)  all_56_4 = all_52_8
% 171.35/26.21    (58)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.35/26.21    (59)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 171.35/26.21    (60)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 171.35/26.21    (61)  all_54_15 = all_14_2
% 171.35/26.21    (62)   ~ (all_52_7 = all_52_11)
% 171.35/26.21    (63)   ~ (all_52_8 = all_52_11)
% 171.35/26.21    (64)   ~ (all_52_8 = all_6_2)
% 171.35/26.21    (65)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.35/26.21    (66)  all_56_6 = all_52_2
% 171.35/26.21    (67)  all_58_24 = all_52_8
% 171.35/26.21    (68)   ~ (all_52_9 = all_52_11)
% 171.35/26.21    (69)  all_56_3 = all_4_2
% 171.35/26.21    (70)  all_54_0 = all_6_2
% 171.35/26.21    (71)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 171.35/26.21    (72)   ~ (all_52_2 = all_52_3)
% 171.35/26.21    (73)  all_58_25 = all_52_9
% 171.35/26.21    (74)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.35/26.21    (75)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.35/26.21            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.35/26.21    (76)  all_54_12 = all_52_3
% 171.35/26.21    (77)  all_58_21 = all_4_2
% 171.35/26.21    (78)  all_56_10 = all_52_13
% 171.35/26.21    (79)   ~ (all_52_3 = e0)
% 171.35/26.21    (80)   ~ (e2 = e0)
% 171.35/26.21    (81)  all_58_28 = all_52_12
% 171.35/26.21    (82)  op(e1, all_52_6) = all_58_9
% 171.35/26.21    (83)   ~ (e1 = e0)
% 171.35/26.21    (84)  all_56_7 = all_52_6
% 171.35/26.21    (85)  all_28_2 = all_14_2
% 171.35/26.21    (86)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 171.35/26.21          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 171.35/26.21          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.35/26.21          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 171.35/26.21          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.35/26.21          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 171.35/26.21          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.35/26.21          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 171.35/26.21          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 171.35/26.21          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 171.35/26.21            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 171.35/26.21            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 171.35/26.21            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 171.35/26.21            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 171.35/26.21            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 171.35/26.21            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 171.35/26.21            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 171.35/26.21            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 171.35/26.21            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 171.35/26.21            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 171.35/26.21            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 171.35/26.21            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 171.35/26.21            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 171.35/26.21            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 171.35/26.21            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 171.35/26.21            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 171.35/26.21          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 171.35/26.21          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 171.35/26.21          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 171.35/26.21            all_58_30 = e0 & e1 = e0)
% 171.35/26.21    (87)   ~ (all_52_2 = all_10_2)
% 171.35/26.21    (88)   ~ (all_28_0 = e2) |  ~ (all_28_2 = e3)
% 171.35/26.21  
% 171.35/26.21  Begin of proof
% 171.35/26.21  | 
% 171.35/26.21  | BETA: splitting (65) gives:
% 171.35/26.21  | 
% 171.35/26.21  | Case 1:
% 171.35/26.21  | | 
% 171.35/26.21  | |   (89)  all_56_0 = e0
% 171.35/26.21  | | 
% 171.35/26.21  | | COMBINE_EQS: (29), (89) imply:
% 171.35/26.21  | |   (90)  all_6_2 = e0
% 171.35/26.21  | | 
% 171.35/26.21  | | REDUCE: (56), (90) imply:
% 171.35/26.21  | |   (91)  $false
% 171.35/26.21  | | 
% 171.35/26.21  | | CLOSE: (91) is inconsistent.
% 171.35/26.21  | | 
% 171.35/26.21  | Case 2:
% 171.35/26.21  | | 
% 171.35/26.21  | |   (92)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.35/26.21  | | 
% 171.35/26.21  | | BETA: splitting (92) gives:
% 171.35/26.21  | | 
% 171.35/26.21  | | Case 1:
% 171.35/26.21  | | | 
% 171.35/26.21  | | |   (93)  all_56_1 = e0
% 171.35/26.21  | | | 
% 171.35/26.21  | | | COMBINE_EQS: (1), (93) imply:
% 171.35/26.21  | | |   (94)  all_52_4 = e0
% 171.35/26.21  | | | 
% 171.35/26.21  | | | REDUCE: (27), (94) imply:
% 171.35/26.21  | | |   (95)  $false
% 171.35/26.21  | | | 
% 171.35/26.21  | | | CLOSE: (95) is inconsistent.
% 171.35/26.21  | | | 
% 171.35/26.21  | | Case 2:
% 171.35/26.21  | | | 
% 171.35/26.21  | | |   (96)  all_56_4 = e0 | all_56_9 = e0
% 171.35/26.21  | | | 
% 171.35/26.21  | | | BETA: splitting (96) gives:
% 171.35/26.21  | | | 
% 171.35/26.21  | | | Case 1:
% 171.35/26.21  | | | | 
% 171.35/26.21  | | | |   (97)  all_56_4 = e0
% 171.35/26.21  | | | | 
% 171.35/26.21  | | | | COMBINE_EQS: (57), (97) imply:
% 171.35/26.21  | | | |   (98)  all_52_8 = e0
% 171.35/26.21  | | | | 
% 171.35/26.21  | | | | COMBINE_EQS: (67), (98) imply:
% 171.35/26.21  | | | |   (99)  all_58_24 = e0
% 171.35/26.21  | | | | 
% 171.35/26.21  | | | | REDUCE: (50), (98) imply:
% 171.35/26.21  | | | |   (100)   ~ (all_52_9 = e0)
% 171.35/26.21  | | | | 
% 171.35/26.21  | | | | SIMP: (100) implies:
% 171.35/26.21  | | | |   (101)   ~ (all_52_9 = e0)
% 171.35/26.21  | | | | 
% 171.35/26.21  | | | | REDUCE: (63), (98) imply:
% 171.35/26.21  | | | |   (102)   ~ (all_52_11 = e0)
% 171.35/26.21  | | | | 
% 171.35/26.21  | | | | SIMP: (102) implies:
% 171.35/26.21  | | | |   (103)   ~ (all_52_11 = e0)
% 171.35/26.21  | | | | 
% 171.35/26.21  | | | | REDUCE: (64), (98) imply:
% 171.35/26.21  | | | |   (104)   ~ (all_6_2 = e0)
% 171.35/26.21  | | | | 
% 171.35/26.21  | | | | BETA: splitting (58) gives:
% 171.35/26.21  | | | | 
% 171.35/26.21  | | | | Case 1:
% 171.35/26.21  | | | | | 
% 171.35/26.21  | | | | |   (105)  all_56_2 = e0
% 171.35/26.21  | | | | | 
% 171.35/26.21  | | | | | COMBINE_EQS: (51), (105) imply:
% 171.35/26.21  | | | | |   (106)  all_52_1 = e0
% 171.35/26.21  | | | | | 
% 171.35/26.21  | | | | | COMBINE_EQS: (32), (106) imply:
% 171.35/26.21  | | | | |   (107)  all_58_17 = e0
% 171.35/26.21  | | | | | 
% 171.35/26.21  | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 171.35/26.21  | | | | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 171.35/26.21  | | | | |            (23), (24), (25), (26), (28), (29), (30), (31), (33), (35),
% 171.35/26.21  | | | | |            (36), (37), (38), (39), (40), (41), (42), (43), (44), (45),
% 171.35/26.21  | | | | |            (46), (47), (48), (52), (53), (54), (56), (59), (60), (61),
% 171.35/26.21  | | | | |            (62), (66), (68), (70), (71), (72), (73), (74), (75), (76),
% 171.35/26.21  | | | | |            (77), (79), (80), (81), (82), (83), (84), (85), (86), (87),
% 171.35/26.21  | | | | |            (88), (97), (99), (101), (103), (105), (107) are
% 171.35/26.21  | | | | |            inconsistent by sub-proof #149.
% 171.35/26.21  | | | | | 
% 171.35/26.21  | | | | Case 2:
% 171.35/26.21  | | | | | 
% 171.35/26.21  | | | | |   (108)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.35/26.21  | | | | | 
% 171.35/26.21  | | | | | REF_CLOSE: (11), (54), (55), (69), (78), (101), (108) are inconsistent
% 171.35/26.21  | | | | |            by sub-proof #695.
% 171.35/26.21  | | | | | 
% 171.35/26.21  | | | | End of split
% 171.35/26.21  | | | | 
% 171.35/26.21  | | | Case 2:
% 171.35/26.21  | | | | 
% 171.35/26.21  | | | |   (109)  all_56_9 = e0
% 171.35/26.21  | | | | 
% 171.35/26.21  | | | | REF_CLOSE: (34), (49), (109) are inconsistent by sub-proof #908.
% 171.35/26.21  | | | | 
% 171.35/26.21  | | | End of split
% 171.35/26.21  | | | 
% 171.35/26.21  | | End of split
% 171.35/26.21  | | 
% 171.35/26.21  | End of split
% 171.35/26.21  | 
% 171.35/26.21  End of proof
% 171.35/26.21  
% 171.35/26.21  Sub-proof #149 shows that the following formulas are inconsistent:
% 171.35/26.21  ----------------------------------------------------------------
% 171.35/26.21    (1)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 171.35/26.21    (2)  all_56_12 = all_52_3
% 171.35/26.21    (3)  op(e1, e3) = all_52_2
% 171.35/26.21    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.35/26.21    (5)   ~ (e3 = e1)
% 171.35/26.21    (6)  all_58_23 = all_52_7
% 171.35/26.21    (7)   ~ (all_52_2 = all_6_2)
% 171.35/26.21    (8)   ~ (all_52_3 = all_14_2)
% 171.35/26.21    (9)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.35/26.21    (10)  all_56_5 = all_52_9
% 171.35/26.21    (11)  op(e1, all_14_2) = all_14_0
% 171.35/26.21    (12)   ~ (all_52_12 = all_6_2)
% 171.35/26.21    (13)   ~ (all_52_9 = all_4_2)
% 171.35/26.21    (14)   ~ (all_52_3 = all_52_7)
% 171.35/26.21    (15)  all_56_14 = all_52_11
% 171.35/26.21    (16)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.35/26.21    (17)  all_56_8 = all_10_2
% 171.35/26.21    (18)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.35/26.21    (19)  all_58_30 = e0
% 171.35/26.21    (20)   ~ (all_52_9 = e0)
% 171.35/26.21    (21)  all_58_26 = all_10_2
% 171.35/26.21    (22)  all_58_31 = all_14_2
% 171.35/26.21    (23)   ~ (all_52_11 = all_10_2)
% 171.35/26.21    (24)   ~ (all_52_9 = all_52_13)
% 171.35/26.21    (25)   ~ (all_52_3 = all_6_2)
% 171.35/26.21    (26)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 171.35/26.21    (27)   ~ (all_52_6 = all_52_7)
% 171.35/26.21    (28)  all_56_0 = all_6_2
% 171.35/26.21    (29)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.35/26.21    (30)  all_58_27 = all_52_11
% 171.35/26.21    (31)  all_58_19 = all_52_3
% 171.35/26.21    (32)   ~ (all_52_2 = all_52_6)
% 171.35/26.21    (33)  all_56_2 = e0
% 171.35/26.21    (34)  all_28_0 = all_14_0
% 171.35/26.21    (35)  all_56_4 = e0
% 171.35/26.21    (36)   ~ (e3 = e2)
% 171.35/26.21    (37)   ~ (e2 = e1)
% 171.35/26.21    (38)   ~ (all_52_6 = all_10_2)
% 171.35/26.21    (39)   ~ (all_52_2 = e0)
% 171.35/26.21    (40)   ~ (all_52_7 = all_14_2)
% 171.35/26.21    (41)   ~ (all_52_13 = all_14_2)
% 171.35/26.21    (42)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.35/26.21    (43)  all_54_9 = all_52_6
% 171.35/26.21    (44)  all_58_18 = all_52_2
% 171.35/26.21    (45)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.35/26.21    (46)  all_58_16 = all_6_2
% 171.35/26.21    (47)  all_56_13 = all_52_7
% 171.35/26.21    (48)   ~ (e3 = e0)
% 171.35/26.21    (49)  all_58_29 = all_52_13
% 171.35/26.21    (50)   ~ (all_52_13 = e0)
% 171.35/26.21    (51)   ~ (all_6_2 = e0)
% 171.35/26.21    (52)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 171.35/26.21    (53)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 171.35/26.21    (54)  all_54_15 = all_14_2
% 171.35/26.21    (55)   ~ (all_52_7 = all_52_11)
% 171.35/26.21    (56)  all_58_17 = e0
% 171.35/26.21    (57)  all_56_6 = all_52_2
% 171.35/26.21    (58)   ~ (all_52_9 = all_52_11)
% 171.35/26.21    (59)  all_54_0 = all_6_2
% 171.35/26.21    (60)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 171.35/26.21    (61)  all_58_24 = e0
% 171.35/26.21    (62)   ~ (all_52_11 = e0)
% 171.35/26.21    (63)   ~ (all_52_2 = all_52_3)
% 171.35/26.21    (64)  all_58_25 = all_52_9
% 171.35/26.21    (65)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.35/26.21    (66)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.35/26.21            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.35/26.21    (67)  all_54_12 = all_52_3
% 171.35/26.21    (68)  all_58_21 = all_4_2
% 171.35/26.21    (69)   ~ (all_52_3 = e0)
% 171.35/26.21    (70)   ~ (e2 = e0)
% 171.35/26.21    (71)  all_58_28 = all_52_12
% 171.35/26.21    (72)  op(e1, all_52_6) = all_58_9
% 171.35/26.21    (73)   ~ (e1 = e0)
% 171.35/26.21    (74)  all_56_7 = all_52_6
% 171.35/26.21    (75)  all_28_2 = all_14_2
% 171.35/26.21    (76)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 171.35/26.21          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 171.35/26.21          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.35/26.21          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 171.35/26.21          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.35/26.21          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 171.35/26.21          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.35/26.21          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 171.35/26.21          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 171.35/26.21          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 171.35/26.21            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 171.35/26.21            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 171.35/26.21            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 171.35/26.21            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 171.35/26.21            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 171.35/26.21            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 171.35/26.21            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 171.35/26.21            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 171.35/26.21            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 171.35/26.21            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 171.35/26.21            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 171.35/26.21            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 171.35/26.21            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 171.35/26.21            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 171.35/26.21            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 171.35/26.21            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 171.35/26.21          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 171.35/26.21          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 171.35/26.21          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 171.35/26.21            all_58_30 = e0 & e1 = e0)
% 171.35/26.21    (77)   ~ (all_52_2 = all_10_2)
% 171.35/26.21    (78)   ~ (all_28_0 = e2) |  ~ (all_28_2 = e3)
% 171.35/26.21  
% 171.35/26.21  Begin of proof
% 171.35/26.21  | 
% 171.35/26.21  | BETA: splitting (1) gives:
% 171.35/26.21  | 
% 171.35/26.21  | Case 1:
% 171.35/26.21  | | 
% 171.35/26.21  | |   (79)  all_56_12 = e0
% 171.35/26.21  | | 
% 171.35/26.21  | | REF_CLOSE: (2), (69), (79) are inconsistent by sub-proof #919.
% 171.35/26.21  | | 
% 171.35/26.21  | Case 2:
% 171.35/26.21  | | 
% 171.35/26.21  | |   (80)  all_56_13 = e0 | all_56_14 = e0
% 171.35/26.21  | | 
% 171.35/26.21  | | BETA: splitting (80) gives:
% 171.35/26.21  | | 
% 171.35/26.21  | | Case 1:
% 171.35/26.21  | | | 
% 171.35/26.21  | | |   (81)  all_56_13 = e0
% 171.35/26.21  | | | 
% 171.35/26.21  | | | COMBINE_EQS: (47), (81) imply:
% 171.35/26.21  | | |   (82)  all_52_7 = e0
% 171.35/26.21  | | | 
% 171.35/26.21  | | | SIMP: (82) implies:
% 171.35/26.21  | | |   (83)  all_52_7 = e0
% 171.35/26.21  | | | 
% 171.35/26.21  | | | COMBINE_EQS: (6), (83) imply:
% 171.35/26.21  | | |   (84)  all_58_23 = e0
% 171.35/26.21  | | | 
% 171.35/26.21  | | | REDUCE: (27), (83) imply:
% 171.35/26.21  | | |   (85)   ~ (all_52_6 = e0)
% 171.35/26.21  | | | 
% 171.35/26.21  | | | REDUCE: (55), (83) imply:
% 171.35/26.21  | | |   (86)   ~ (all_52_11 = e0)
% 171.35/26.21  | | | 
% 171.35/26.21  | | | REDUCE: (40), (83) imply:
% 171.35/26.21  | | |   (87)   ~ (all_14_2 = e0)
% 171.35/26.21  | | | 
% 171.35/26.21  | | | SIMP: (87) implies:
% 171.35/26.21  | | |   (88)   ~ (all_14_2 = e0)
% 171.35/26.21  | | | 
% 171.35/26.21  | | | BETA: splitting (4) gives:
% 171.35/26.21  | | | 
% 171.35/26.21  | | | Case 1:
% 171.35/26.21  | | | | 
% 171.35/26.21  | | | |   (89)  all_54_0 = e0
% 171.35/26.21  | | | | 
% 171.35/26.21  | | | | REF_CLOSE: (51), (59), (89) are inconsistent by sub-proof #984.
% 171.35/26.21  | | | | 
% 171.35/26.21  | | | Case 2:
% 171.35/26.21  | | | | 
% 171.35/26.21  | | | |   (90)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 171.35/26.21  | | | | 
% 171.35/26.21  | | | | REF_CLOSE: (2), (3), (5), (7), (8), (9), (10), (11), (12), (13), (15),
% 171.35/26.21  | | | |            (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 171.35/26.21  | | | |            (26), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 171.35/26.21  | | | |            (37), (38), (39), (41), (42), (43), (44), (45), (46), (48),
% 171.35/26.21  | | | |            (49), (50), (51), (52), (53), (54), (56), (57), (58), (59),
% 171.35/26.21  | | | |            (60), (61), (62), (63), (64), (65), (66), (67), (68), (69),
% 171.35/26.21  | | | |            (70), (71), (72), (73), (74), (75), (76), (77), (78), (84),
% 171.35/26.21  | | | |            (85), (88), (90) are inconsistent by sub-proof #408.
% 171.35/26.21  | | | | 
% 171.35/26.21  | | | End of split
% 171.35/26.21  | | | 
% 171.35/26.21  | | Case 2:
% 171.35/26.21  | | | 
% 171.35/26.21  | | |   (91)  all_56_14 = e0
% 171.35/26.21  | | | 
% 171.35/26.21  | | | REF_CLOSE: (15), (62), (91) are inconsistent by sub-proof #915.
% 171.35/26.21  | | | 
% 171.35/26.21  | | End of split
% 171.35/26.21  | | 
% 171.35/26.21  | End of split
% 171.35/26.21  | 
% 171.35/26.21  End of proof
% 171.35/26.21  
% 171.35/26.21  Sub-proof #150 shows that the following formulas are inconsistent:
% 171.35/26.21  ----------------------------------------------------------------
% 171.35/26.21    (1)   ~ (all_52_12 = all_14_2)
% 171.35/26.21    (2)  all_56_1 = all_52_4
% 171.35/26.21    (3)  all_56_12 = all_52_3
% 171.35/26.21    (4)   ~ (all_52_8 = all_52_12)
% 171.35/26.21    (5)   ~ (all_52_2 = all_6_2)
% 171.35/26.21    (6)   ~ (all_52_4 = all_4_2)
% 171.35/26.21    (7)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.35/26.21    (8)  all_54_3 = all_52_12
% 171.35/26.21    (9)  all_56_5 = all_52_9
% 171.35/26.21    (10)   ~ (all_52_3 = all_52_11)
% 171.35/26.21    (11)  op(all_6_2, e3) = all_6_1
% 171.35/26.21    (12)   ~ (all_52_12 = all_6_2)
% 171.35/26.21    (13)  op(e2, e0) = all_52_13
% 171.35/26.21    (14)  op(e3, all_6_2) = all_58_0
% 171.35/26.21    (15)  all_58_11 = e0
% 171.35/26.21    (16)  all_54_1 = all_52_4
% 171.35/26.21    (17)   ~ (all_14_2 = e0)
% 171.35/26.21    (18)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 171.35/26.21    (19)  all_56_14 = all_52_11
% 171.35/26.21    (20)  all_56_8 = all_10_2
% 171.35/26.21    (21)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.35/26.21    (22)  all_58_30 = e0
% 171.35/26.21    (23)  all_58_26 = all_10_2
% 171.35/26.21    (24)   ~ (all_52_4 = all_52_6)
% 171.35/26.21    (25)  all_58_31 = all_14_2
% 171.35/26.21    (26)   ~ (all_52_11 = all_10_2)
% 171.35/26.21    (27)   ~ (all_52_9 = all_52_13)
% 171.35/26.21    (28)   ~ (all_52_3 = all_6_2)
% 171.35/26.21    (29)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 171.35/26.21    (30)   ~ (all_52_1 = all_6_2)
% 171.35/26.21    (31)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 171.35/26.21    (32)  all_56_0 = all_6_2
% 171.35/26.21    (33)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.35/26.21    (34)  all_58_27 = all_52_11
% 171.35/26.21    (35)  all_54_14 = all_52_11
% 171.35/26.21    (36)  all_58_17 = all_52_1
% 171.35/26.21    (37)  all_58_19 = all_52_3
% 171.35/26.21    (38)  all_56_9 = all_52_12
% 171.35/26.21    (39)   ~ (all_52_2 = all_52_6)
% 171.35/26.21    (40)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 171.35/26.21    (41)   ~ (e3 = e2)
% 171.35/26.21    (42)   ~ (e2 = e1)
% 171.35/26.21    (43)   ~ (all_52_6 = all_10_2)
% 171.35/26.21    (44)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 171.35/26.21    (45)   ~ (all_52_13 = all_14_2)
% 171.35/26.21    (46)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.35/26.21    (47)  all_54_9 = all_52_6
% 171.35/26.21    (48)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 171.35/26.21    (49)  all_58_18 = all_52_2
% 171.35/26.21    (50)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.35/26.21    (51)  all_58_16 = all_6_2
% 171.35/26.21    (52)  op(e0, e3) = all_52_3
% 171.35/26.21    (53)   ~ (all_52_4 = all_6_2)
% 171.35/26.21    (54)  all_56_2 = all_52_1
% 171.35/26.21    (55)   ~ (e3 = e0)
% 171.35/26.21    (56)  op(e3, e0) = all_52_12
% 171.35/26.21    (57)  all_58_29 = all_52_13
% 171.35/26.21    (58)   ~ (all_52_1 = all_52_2)
% 171.35/26.21    (59)   ~ (all_52_13 = e0)
% 171.35/26.21    (60)   ~ (all_4_2 = e0)
% 171.35/26.21    (61)  all_56_4 = all_52_8
% 171.35/26.21    (62)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.35/26.21    (63)   ~ (all_52_1 = all_52_13)
% 171.35/26.21    (64)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 171.35/26.21    (65)  all_58_20 = all_52_4
% 171.35/26.21    (66)  all_54_15 = all_14_2
% 171.35/26.21    (67)   ~ (all_52_8 = all_52_11)
% 171.35/26.21    (68)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 171.35/26.21    (69)  all_56_6 = all_52_2
% 171.35/26.21    (70)  all_58_13 = all_14_2
% 171.35/26.21    (71)   ~ (all_52_1 = all_52_9)
% 171.35/26.21    (72)  all_58_24 = all_52_8
% 171.35/26.21    (73)   ~ (all_52_9 = all_52_11)
% 171.35/26.21    (74)  all_58_22 = all_52_6
% 171.35/26.21    (75)   ~ (all_52_4 = all_52_12)
% 171.35/26.21    (76)  all_56_3 = all_4_2
% 171.35/26.21    (77)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 171.35/26.21    (78)  all_58_25 = all_52_9
% 171.35/26.21    (79)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.35/26.21    (80)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.35/26.21            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.35/26.21    (81)   ~ (all_52_6 = e0)
% 171.35/26.21    (82)  all_58_21 = all_4_2
% 171.35/26.21    (83)  all_56_10 = all_52_13
% 171.35/26.21    (84)  op(e2, all_52_9) = all_58_6
% 171.35/26.21    (85)  all_56_0 = e0
% 171.35/26.21    (86)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.35/26.21    (87)   ~ (e2 = e0)
% 171.35/26.21    (88)   ~ (all_52_1 = all_52_3)
% 171.35/26.21    (89)  all_58_28 = all_52_12
% 171.35/26.21    (90)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 171.35/26.21    (91)   ~ (e1 = e0)
% 171.35/26.21    (92)  all_54_4 = all_52_1
% 171.35/26.21    (93)  all_56_7 = all_52_6
% 171.35/26.21    (94)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 171.35/26.21            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 171.35/26.21            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 171.35/26.21            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 171.35/26.21            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 171.35/26.21            (all_58_15 = e0))
% 171.35/26.21    (95)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 171.35/26.21    (96)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 171.35/26.21          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 171.35/26.21          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.35/26.21          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 171.35/26.21          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.35/26.21          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 171.35/26.21          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.35/26.21          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 171.35/26.21          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 171.35/26.21          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 171.35/26.21            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 171.35/26.21            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 171.35/26.21            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 171.35/26.21            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 171.35/26.21            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 171.35/26.21            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 171.35/26.21            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 171.35/26.21            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 171.35/26.21            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 171.35/26.21            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 171.35/26.21            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 171.35/26.21            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 171.35/26.21            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 171.35/26.21            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 171.35/26.21            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 171.35/26.21            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 171.35/26.21          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 171.35/26.21          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 171.35/26.21          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 171.35/26.21            all_58_30 = e0 & e1 = e0)
% 171.35/26.21    (97)  all_54_7 = all_52_13
% 171.35/26.21    (98)  all_58_23 = e0
% 171.35/26.21    (99)   ~ (all_52_2 = all_10_2)
% 171.35/26.21    (100)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 171.35/26.21    (101)   ~ (all_52_12 = all_52_13)
% 171.35/26.21  
% 171.35/26.21  Begin of proof
% 171.35/26.21  | 
% 171.35/26.21  | COMBINE_EQS: (32), (85) imply:
% 171.35/26.21  |   (102)  all_6_2 = e0
% 171.35/26.21  | 
% 171.35/26.21  | COMBINE_EQS: (51), (102) imply:
% 171.35/26.21  |   (103)  all_58_16 = e0
% 171.35/26.21  | 
% 171.35/26.21  | REDUCE: (30), (102) imply:
% 171.35/26.21  |   (104)   ~ (all_52_1 = e0)
% 171.35/26.21  | 
% 171.35/26.21  | REDUCE: (5), (102) imply:
% 171.35/26.21  |   (105)   ~ (all_52_2 = e0)
% 171.35/26.21  | 
% 171.35/26.21  | REDUCE: (28), (102) imply:
% 171.35/26.21  |   (106)   ~ (all_52_3 = e0)
% 171.35/26.21  | 
% 171.35/26.21  | REDUCE: (53), (102) imply:
% 171.35/26.21  |   (107)   ~ (all_52_4 = e0)
% 171.35/26.21  | 
% 171.35/26.21  | REDUCE: (12), (102) imply:
% 171.35/26.21  |   (108)   ~ (all_52_12 = e0)
% 171.35/26.21  | 
% 171.35/26.21  | REDUCE: (11), (102) imply:
% 171.35/26.21  |   (109)  op(e0, e3) = all_6_1
% 171.35/26.21  | 
% 171.35/26.21  | REDUCE: (14), (102) imply:
% 171.35/26.21  |   (110)  op(e3, e0) = all_58_0
% 171.35/26.21  | 
% 171.35/26.21  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (13), (15), (16),
% 171.35/26.21  |            (17), (18), (19), (20), (21), (22), (23), (24), (25), (26), (27),
% 171.35/26.21  |            (29), (31), (33), (34), (35), (36), (37), (38), (39), (40), (41),
% 171.35/26.21  |            (42), (43), (44), (45), (46), (47), (48), (49), (50), (52), (54),
% 171.35/26.21  |            (55), (56), (57), (58), (59), (60), (61), (62), (63), (64), (65),
% 171.35/26.21  |            (66), (67), (68), (69), (70), (71), (72), (73), (74), (75), (76),
% 171.35/26.21  |            (77), (78), (79), (80), (81), (82), (83), (84), (85), (86), (87),
% 171.35/26.21  |            (88), (89), (90), (91), (92), (93), (94), (95), (96), (97), (98),
% 171.35/26.21  |            (99), (100), (101), (103), (104), (105), (106), (107), (108),
% 171.35/26.21  |            (109), (110) are inconsistent by sub-proof #151.
% 171.35/26.21  | 
% 171.35/26.21  End of proof
% 171.35/26.21  
% 171.35/26.21  Sub-proof #151 shows that the following formulas are inconsistent:
% 171.35/26.21  ----------------------------------------------------------------
% 171.35/26.21    (1)   ~ (all_52_12 = all_14_2)
% 171.35/26.21    (2)  all_56_1 = all_52_4
% 171.35/26.21    (3)  all_56_12 = all_52_3
% 171.35/26.21    (4)   ~ (all_52_8 = all_52_12)
% 171.35/26.21    (5)   ~ (all_52_4 = all_4_2)
% 171.35/26.21    (6)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.35/26.21    (7)  all_54_3 = all_52_12
% 171.35/26.21    (8)  all_56_5 = all_52_9
% 171.35/26.21    (9)   ~ (all_52_3 = all_52_11)
% 171.35/26.21    (10)  op(e2, e0) = all_52_13
% 171.35/26.21    (11)  all_58_11 = e0
% 171.35/26.21    (12)  all_54_1 = all_52_4
% 171.35/26.21    (13)   ~ (all_14_2 = e0)
% 171.35/26.21    (14)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 171.35/26.21    (15)  all_56_14 = all_52_11
% 171.35/26.21    (16)  all_56_8 = all_10_2
% 171.35/26.21    (17)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.35/26.21    (18)  all_58_30 = e0
% 171.35/26.21    (19)  all_58_26 = all_10_2
% 171.35/26.21    (20)   ~ (all_52_4 = all_52_6)
% 171.35/26.21    (21)  all_58_31 = all_14_2
% 171.35/26.21    (22)   ~ (all_52_11 = all_10_2)
% 171.35/26.21    (23)   ~ (all_52_9 = all_52_13)
% 171.35/26.21    (24)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 171.35/26.21    (25)   ~ (all_52_4 = e0)
% 171.35/26.21    (26)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 171.35/26.21    (27)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.35/26.21    (28)  all_58_27 = all_52_11
% 171.35/26.21    (29)  all_54_14 = all_52_11
% 171.35/26.21    (30)  all_58_17 = all_52_1
% 171.35/26.21    (31)  all_58_19 = all_52_3
% 171.35/26.21    (32)  all_56_9 = all_52_12
% 171.35/26.22    (33)   ~ (all_52_2 = all_52_6)
% 171.35/26.22    (34)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 171.35/26.22    (35)   ~ (e3 = e2)
% 171.35/26.22    (36)   ~ (e2 = e1)
% 171.35/26.22    (37)   ~ (all_52_6 = all_10_2)
% 171.35/26.22    (38)  op(e3, e0) = all_58_0
% 171.35/26.22    (39)   ~ (all_52_2 = e0)
% 171.35/26.22    (40)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 171.35/26.22    (41)   ~ (all_52_13 = all_14_2)
% 171.35/26.22    (42)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.35/26.22    (43)  all_54_9 = all_52_6
% 171.35/26.22    (44)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 171.35/26.22    (45)  all_58_18 = all_52_2
% 171.35/26.22    (46)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.35/26.22    (47)  all_58_16 = e0
% 171.35/26.22    (48)  op(e0, e3) = all_52_3
% 171.35/26.22    (49)   ~ (all_52_12 = e0)
% 171.35/26.22    (50)  all_56_2 = all_52_1
% 171.35/26.22    (51)  op(e0, e3) = all_6_1
% 171.35/26.22    (52)   ~ (e3 = e0)
% 171.35/26.22    (53)  op(e3, e0) = all_52_12
% 171.35/26.22    (54)  all_58_29 = all_52_13
% 171.35/26.22    (55)   ~ (all_52_1 = all_52_2)
% 171.35/26.22    (56)   ~ (all_52_13 = e0)
% 171.35/26.22    (57)   ~ (all_4_2 = e0)
% 171.35/26.22    (58)  all_56_4 = all_52_8
% 171.35/26.22    (59)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.35/26.22    (60)   ~ (all_52_1 = all_52_13)
% 171.35/26.22    (61)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 171.35/26.22    (62)  all_58_20 = all_52_4
% 171.35/26.22    (63)  all_54_15 = all_14_2
% 171.35/26.22    (64)   ~ (all_52_8 = all_52_11)
% 171.35/26.22    (65)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 171.35/26.22    (66)  all_56_6 = all_52_2
% 171.35/26.22    (67)  all_58_13 = all_14_2
% 171.35/26.22    (68)   ~ (all_52_1 = all_52_9)
% 171.35/26.22    (69)  all_58_24 = all_52_8
% 171.35/26.22    (70)   ~ (all_52_9 = all_52_11)
% 171.35/26.22    (71)  all_58_22 = all_52_6
% 171.35/26.22    (72)   ~ (all_52_4 = all_52_12)
% 171.35/26.22    (73)  all_56_3 = all_4_2
% 171.35/26.22    (74)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 171.35/26.22    (75)   ~ (all_52_1 = e0)
% 171.35/26.22    (76)  all_58_25 = all_52_9
% 171.35/26.22    (77)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.35/26.22    (78)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.35/26.22            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.35/26.22    (79)   ~ (all_52_6 = e0)
% 171.35/26.22    (80)  all_58_21 = all_4_2
% 171.35/26.22    (81)  all_56_10 = all_52_13
% 171.35/26.22    (82)   ~ (all_52_3 = e0)
% 171.35/26.22    (83)  op(e2, all_52_9) = all_58_6
% 171.35/26.22    (84)  all_56_0 = e0
% 171.35/26.22    (85)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.35/26.22    (86)   ~ (e2 = e0)
% 171.35/26.22    (87)   ~ (all_52_1 = all_52_3)
% 171.35/26.22    (88)  all_58_28 = all_52_12
% 171.35/26.22    (89)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 171.35/26.22    (90)   ~ (e1 = e0)
% 171.35/26.22    (91)  all_54_4 = all_52_1
% 171.35/26.22    (92)  all_56_7 = all_52_6
% 171.35/26.22    (93)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 171.35/26.22            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 171.35/26.22            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 171.35/26.22            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 171.35/26.22            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 171.35/26.22            (all_58_15 = e0))
% 171.35/26.22    (94)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 171.35/26.22    (95)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 171.35/26.22          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 171.35/26.22          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.35/26.22          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 171.35/26.22          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.35/26.22          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 171.35/26.22          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.35/26.22          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 171.35/26.22          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 171.35/26.22          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 171.35/26.22            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 171.35/26.22            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 171.35/26.22            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 171.35/26.22            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 171.35/26.22            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 171.35/26.22            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 171.35/26.22            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 171.35/26.22            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 171.35/26.22            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 171.35/26.22            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 171.35/26.22            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 171.35/26.22            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 171.35/26.22            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 171.35/26.22            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 171.35/26.22            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 171.35/26.22            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 171.35/26.22          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 171.35/26.22          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 171.35/26.22          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 171.35/26.22            all_58_30 = e0 & e1 = e0)
% 171.35/26.22    (96)  all_54_7 = all_52_13
% 171.35/26.22    (97)  all_58_23 = e0
% 171.35/26.22    (98)   ~ (all_52_2 = all_10_2)
% 171.35/26.22    (99)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 171.35/26.22    (100)   ~ (all_52_12 = all_52_13)
% 171.35/26.22  
% 171.35/26.22  Begin of proof
% 171.35/26.22  | 
% 171.35/26.22  | BETA: splitting (59) gives:
% 171.35/26.22  | 
% 171.35/26.22  | Case 1:
% 171.35/26.22  | | 
% 171.35/26.22  | |   (101)  all_56_2 = e0
% 171.35/26.22  | | 
% 171.35/26.22  | | COMBINE_EQS: (50), (101) imply:
% 171.35/26.22  | |   (102)  all_52_1 = e0
% 171.35/26.22  | | 
% 171.35/26.22  | | REDUCE: (75), (102) imply:
% 171.35/26.22  | |   (103)  $false
% 171.35/26.22  | | 
% 171.35/26.22  | | CLOSE: (103) is inconsistent.
% 171.35/26.22  | | 
% 171.35/26.22  | Case 2:
% 171.35/26.22  | | 
% 171.35/26.22  | |   (104)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.35/26.22  | | 
% 171.35/26.22  | | BETA: splitting (104) gives:
% 171.35/26.22  | | 
% 171.35/26.22  | | Case 1:
% 171.35/26.22  | | | 
% 171.35/26.22  | | |   (105)  all_56_3 = e0
% 171.35/26.22  | | | 
% 171.35/26.22  | | | COMBINE_EQS: (73), (105) imply:
% 171.35/26.22  | | |   (106)  all_4_2 = e0
% 171.35/26.22  | | | 
% 171.35/26.22  | | | REDUCE: (57), (106) imply:
% 171.35/26.22  | | |   (107)  $false
% 171.35/26.22  | | | 
% 171.35/26.22  | | | CLOSE: (107) is inconsistent.
% 171.35/26.22  | | | 
% 171.35/26.22  | | Case 2:
% 171.35/26.22  | | | 
% 171.35/26.22  | | |   (108)  all_56_5 = e0 | all_56_10 = e0
% 171.35/26.22  | | | 
% 171.35/26.22  | | | BETA: splitting (108) gives:
% 171.35/26.22  | | | 
% 171.35/26.22  | | | Case 1:
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | |   (109)  all_56_5 = e0
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | | COMBINE_EQS: (8), (109) imply:
% 171.35/26.22  | | | |   (110)  all_52_9 = e0
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | | COMBINE_EQS: (76), (110) imply:
% 171.35/26.22  | | | |   (111)  all_58_25 = e0
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | | REDUCE: (70), (110) imply:
% 171.35/26.22  | | | |   (112)   ~ (all_52_11 = e0)
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | | SIMP: (112) implies:
% 171.35/26.22  | | | |   (113)   ~ (all_52_11 = e0)
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | | REDUCE: (23), (110) imply:
% 171.35/26.22  | | | |   (114)   ~ (all_52_13 = e0)
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | | REDUCE: (83), (110) imply:
% 171.35/26.22  | | | |   (115)  op(e2, e0) = all_58_6
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | | GROUND_INST: instantiating (78) with all_52_3, all_6_1, e3, e0,
% 171.35/26.22  | | | |              simplifying with (48), (51) gives:
% 171.35/26.22  | | | |   (116)  all_52_3 = all_6_1
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | | GROUND_INST: instantiating (78) with all_52_13, all_58_6, e0, e2,
% 171.35/26.22  | | | |              simplifying with (10), (115) gives:
% 171.35/26.22  | | | |   (117)  all_58_6 = all_52_13
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | | GROUND_INST: instantiating (78) with all_52_12, all_58_0, e0, e3,
% 171.35/26.22  | | | |              simplifying with (38), (53) gives:
% 171.35/26.22  | | | |   (118)  all_58_0 = all_52_12
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | | COMBINE_EQS: (3), (116) imply:
% 171.35/26.22  | | | |   (119)  all_56_12 = all_6_1
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | | COMBINE_EQS: (31), (116) imply:
% 171.35/26.22  | | | |   (120)  all_58_19 = all_6_1
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | | REDUCE: (87), (116) imply:
% 171.35/26.22  | | | |   (121)   ~ (all_52_1 = all_6_1)
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | | REDUCE: (9), (116) imply:
% 171.35/26.22  | | | |   (122)   ~ (all_52_11 = all_6_1)
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | | SIMP: (122) implies:
% 171.35/26.22  | | | |   (123)   ~ (all_52_11 = all_6_1)
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | | REDUCE: (82), (116) imply:
% 171.35/26.22  | | | |   (124)   ~ (all_6_1 = e0)
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | | BETA: splitting (77) gives:
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | | Case 1:
% 171.35/26.22  | | | | | 
% 171.35/26.22  | | | | |   (125)  all_54_9 = e0
% 171.35/26.22  | | | | | 
% 171.35/26.22  | | | | | COMBINE_EQS: (43), (125) imply:
% 171.35/26.22  | | | | |   (126)  all_52_6 = e0
% 171.35/26.22  | | | | | 
% 171.35/26.22  | | | | | REDUCE: (79), (126) imply:
% 171.35/26.22  | | | | |   (127)  $false
% 171.35/26.22  | | | | | 
% 171.35/26.22  | | | | | CLOSE: (127) is inconsistent.
% 171.35/26.22  | | | | | 
% 171.35/26.22  | | | | Case 2:
% 171.35/26.22  | | | | | 
% 171.35/26.22  | | | | |   (128)   ~ (all_54_9 = e0)
% 171.35/26.22  | | | | |   (129)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 171.35/26.22  | | | | | 
% 171.35/26.22  | | | | | BETA: splitting (42) gives:
% 171.35/26.22  | | | | | 
% 171.35/26.22  | | | | | Case 1:
% 171.35/26.22  | | | | | | 
% 171.35/26.22  | | | | | |   (130)  all_54_1 = e0
% 171.35/26.22  | | | | | | 
% 171.35/26.22  | | | | | | REF_CLOSE: (12), (25), (130) are inconsistent by sub-proof #866.
% 171.35/26.22  | | | | | | 
% 171.35/26.22  | | | | | Case 2:
% 171.35/26.22  | | | | | | 
% 171.35/26.22  | | | | | |   (131)   ~ (all_54_1 = e0)
% 171.35/26.22  | | | | | |   (132)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 171.35/26.22  | | | | | | 
% 171.35/26.22  | | | | | | BETA: splitting (14) gives:
% 171.35/26.22  | | | | | | 
% 171.35/26.22  | | | | | | Case 1:
% 171.35/26.22  | | | | | | | 
% 171.35/26.22  | | | | | | |   (133)  all_54_3 = e0
% 171.35/26.22  | | | | | | | 
% 171.35/26.22  | | | | | | | COMBINE_EQS: (7), (133) imply:
% 171.35/26.22  | | | | | | |   (134)  all_52_12 = e0
% 171.35/26.22  | | | | | | | 
% 171.35/26.22  | | | | | | | REDUCE: (49), (134) imply:
% 171.35/26.22  | | | | | | |   (135)  $false
% 171.35/26.22  | | | | | | | 
% 171.35/26.22  | | | | | | | CLOSE: (135) is inconsistent.
% 171.35/26.22  | | | | | | | 
% 171.35/26.22  | | | | | | Case 2:
% 171.35/26.22  | | | | | | | 
% 171.35/26.22  | | | | | | |   (136)   ~ (all_54_3 = e0)
% 171.35/26.22  | | | | | | |   (137)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 171.35/26.22  | | | | | | | 
% 171.35/26.22  | | | | | | | BETA: splitting (65) gives:
% 171.35/26.22  | | | | | | | 
% 171.35/26.22  | | | | | | | Case 1:
% 171.35/26.22  | | | | | | | | 
% 171.35/26.22  | | | | | | | |   (138)  all_54_4 = e0
% 171.35/26.22  | | | | | | | | 
% 171.35/26.22  | | | | | | | | COMBINE_EQS: (91), (138) imply:
% 171.35/26.22  | | | | | | | |   (139)  all_52_1 = e0
% 171.35/26.22  | | | | | | | | 
% 171.35/26.22  | | | | | | | | REDUCE: (75), (139) imply:
% 171.35/26.22  | | | | | | | |   (140)  $false
% 171.35/26.22  | | | | | | | | 
% 171.35/26.22  | | | | | | | | CLOSE: (140) is inconsistent.
% 171.35/26.22  | | | | | | | | 
% 171.35/26.22  | | | | | | | Case 2:
% 171.35/26.22  | | | | | | | | 
% 171.35/26.22  | | | | | | | |   (141)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 171.35/26.22  | | | | | | | | 
% 171.35/26.22  | | | | | | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (11), (12), (13), (15),
% 171.35/26.22  | | | | | | | |            (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 171.35/26.22  | | | | | | | |            (25), (26), (27), (28), (29), (30), (32), (33), (34),
% 171.35/26.22  | | | | | | | |            (35), (36), (37), (39), (40), (41), (43), (44), (45),
% 171.35/26.22  | | | | | | | |            (46), (47), (49), (50), (52), (54), (55), (56), (58),
% 171.35/26.22  | | | | | | | |            (60), (61), (62), (63), (64), (66), (67), (69), (71),
% 171.35/26.22  | | | | | | | |            (72), (74), (75), (76), (79), (80), (84), (85), (86),
% 171.35/26.22  | | | | | | | |            (88), (89), (90), (91), (92), (93), (94), (95), (96),
% 171.35/26.22  | | | | | | | |            (97), (98), (99), (100), (109), (111), (113), (117),
% 171.35/26.22  | | | | | | | |            (118), (119), (120), (121), (123), (124), (129),
% 171.35/26.22  | | | | | | | |            (132), (137), (141) are inconsistent by sub-proof
% 171.35/26.22  | | | | | | | |            #611.
% 171.35/26.22  | | | | | | | | 
% 171.35/26.22  | | | | | | | End of split
% 171.35/26.22  | | | | | | | 
% 171.35/26.22  | | | | | | End of split
% 171.35/26.22  | | | | | | 
% 171.35/26.22  | | | | | End of split
% 171.35/26.22  | | | | | 
% 171.35/26.22  | | | | End of split
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | Case 2:
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | |   (142)  all_56_10 = e0
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | | REF_CLOSE: (56), (81), (142) are inconsistent by sub-proof #943.
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | End of split
% 171.35/26.22  | | | 
% 171.35/26.22  | | End of split
% 171.35/26.22  | | 
% 171.35/26.22  | End of split
% 171.35/26.22  | 
% 171.35/26.22  End of proof
% 171.35/26.22  
% 171.35/26.22  Sub-proof #152 shows that the following formulas are inconsistent:
% 171.35/26.22  ----------------------------------------------------------------
% 171.35/26.22    (1)   ~ (all_52_12 = all_14_2)
% 171.35/26.22    (2)  all_56_1 = all_52_4
% 171.35/26.22    (3)  all_56_12 = all_52_3
% 171.35/26.22    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.35/26.22    (5)   ~ (all_52_8 = all_52_12)
% 171.35/26.22    (6)   ~ (e3 = e1)
% 171.35/26.22    (7)   ~ (all_52_4 = all_4_2)
% 171.35/26.22    (8)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.35/26.22    (9)  all_56_5 = all_52_9
% 171.35/26.22    (10)  op(all_6_2, e3) = all_6_1
% 171.35/26.22    (11)   ~ (all_52_12 = all_6_2)
% 171.35/26.22    (12)  op(e2, e0) = all_52_13
% 171.35/26.22    (13)   ~ (all_52_6 = all_4_2)
% 171.35/26.22    (14)  op(e3, all_6_2) = all_58_0
% 171.35/26.22    (15)  all_56_15 = all_14_2
% 171.35/26.22    (16)  op(e3, all_52_4) = all_58_1
% 171.35/26.22    (17)  all_54_1 = all_52_4
% 171.35/26.22    (18)  op(all_10_2, e1) = all_10_1
% 171.35/26.22    (19)  op(e1, all_10_2) = all_58_10
% 171.35/26.22    (20)   ~ (all_52_9 = all_4_2)
% 171.35/26.22    (21)  op(e1, e1) = all_10_2
% 171.35/26.22    (22)   ~ (all_52_13 = all_4_2)
% 171.35/26.22    (23)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.35/26.22    (24)  op(e0, all_52_3) = all_58_12
% 171.35/26.22    (25)  all_56_8 = all_10_2
% 171.35/26.22    (26)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.35/26.22    (27)  all_58_26 = all_10_2
% 171.35/26.22    (28)   ~ (all_52_4 = all_52_6)
% 171.35/26.22    (29)  all_58_31 = all_14_2
% 171.35/26.22    (30)   ~ (all_52_9 = all_52_13)
% 171.35/26.22    (31)   ~ (all_52_3 = all_6_2)
% 171.35/26.22    (32)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 171.35/26.22    (33)   ~ (all_52_4 = e0)
% 171.35/26.22    (34)  op(all_6_1, all_6_2) = e0
% 171.35/26.22    (35)  all_58_18 = e0
% 171.35/26.22    (36)   ~ (all_52_1 = all_6_2)
% 171.35/26.22    (37)  all_56_11 = all_52_14
% 171.35/26.22    (38)  all_56_0 = all_6_2
% 171.35/26.22    (39)   ~ (all_52_9 = all_10_2)
% 171.35/26.22    (40)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.35/26.22    (41)  all_58_30 = all_52_14
% 171.35/26.22    (42)  all_58_27 = all_52_11
% 171.35/26.22    (43)  op(e3, e2) = all_52_4
% 171.35/26.22    (44)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 171.35/26.22    (45)  all_58_17 = all_52_1
% 171.35/26.22    (46)  op(e3, e1) = all_52_8
% 171.35/26.22    (47)  all_58_19 = all_52_3
% 171.35/26.22    (48)  all_56_9 = all_52_12
% 171.35/26.22    (49)   ~ (e3 = e2)
% 171.35/26.22    (50)   ~ (e2 = e1)
% 171.35/26.22    (51)   ~ (all_52_6 = all_10_2)
% 171.35/26.22    (52)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 171.35/26.22    (53)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 171.35/26.22    (54)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 171.35/26.22    (55)   ~ (all_52_13 = all_14_2)
% 171.35/26.22    (56)   ~ (all_52_1 = all_4_2)
% 171.35/26.22    (57)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.35/26.22    (58)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.35/26.22    (59)  all_54_9 = all_52_6
% 171.35/26.22    (60)   ~ (all_52_13 = all_52_14)
% 171.35/26.22    (61)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.35/26.22    (62)  all_58_16 = all_6_2
% 171.35/26.22    (63)  op(e0, e3) = all_52_3
% 171.35/26.22    (64)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 171.35/26.22    (65)   ~ (all_52_8 = all_52_9)
% 171.35/26.22    (66)   ~ (all_52_4 = all_6_2)
% 171.35/26.22    (67)  all_56_2 = all_52_1
% 171.35/26.22    (68)   ~ (e3 = e0)
% 171.35/26.22    (69)  all_58_29 = all_52_13
% 171.35/26.22    (70)   ~ (all_4_2 = e0)
% 171.35/26.22    (71)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 171.35/26.22    (72)   ~ (all_6_2 = e0)
% 171.35/26.22    (73)   ~ (all_52_6 = all_52_14)
% 171.35/26.22    (74)   ~ (all_52_8 = all_10_2)
% 171.35/26.22    (75)  all_56_4 = all_52_8
% 171.35/26.22    (76)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.35/26.22    (77)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 171.35/26.22    (78)   ~ (all_52_1 = all_52_13)
% 171.35/26.22    (79)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 171.35/26.22    (80)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 171.35/26.22    (81)  all_54_10 = all_10_2
% 171.35/26.22    (82)   ~ (all_52_8 = all_52_11)
% 171.35/26.22    (83)   ~ (all_52_8 = all_6_2)
% 171.35/26.22    (84)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.35/26.22    (85)   ~ (all_52_1 = all_52_9)
% 171.35/26.22    (86)  op(e3, e3) = all_6_2
% 171.35/26.22    (87)  all_56_6 = e0
% 171.35/26.22    (88)  all_56_13 = e0
% 171.35/26.22    (89)  all_58_24 = all_52_8
% 171.35/26.22    (90)   ~ (all_52_12 = all_52_14)
% 171.35/26.22    (91)   ~ (all_52_9 = all_52_11)
% 171.35/26.22    (92)  all_58_22 = all_52_6
% 171.35/26.22    (93)   ~ (all_52_4 = all_52_12)
% 171.35/26.22    (94)  all_56_3 = all_4_2
% 171.35/26.22    (95)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 171.35/26.22    (96)  all_54_0 = all_6_2
% 171.35/26.22    (97)   ~ (all_52_14 = all_10_2)
% 171.35/26.22    (98)   ~ (all_52_1 = e0)
% 171.35/26.22    (99)   ~ (all_52_4 = all_52_8)
% 171.35/26.22    (100)   ~ (all_52_14 = all_14_2)
% 171.35/26.22    (101)  all_58_25 = all_52_9
% 171.35/26.22    (102)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.35/26.22    (103)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.35/26.22             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.35/26.22    (104)   ~ (all_52_6 = e0)
% 171.35/26.22    (105)  all_54_12 = all_52_3
% 171.35/26.22    (106)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 171.35/26.22    (107)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.35/26.22    (108)  all_58_21 = all_4_2
% 171.35/26.22    (109)  all_56_10 = all_52_13
% 171.35/26.22    (110)   ~ (all_52_3 = e0)
% 171.35/26.22    (111)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.35/26.22    (112)   ~ (e2 = e0)
% 171.35/26.22    (113)   ~ (all_52_1 = all_52_3)
% 171.35/26.22    (114)   ~ (all_52_14 = e0)
% 171.35/26.22    (115)  all_58_28 = all_52_12
% 171.35/26.22    (116)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 171.35/26.22    (117)   ~ (e1 = e0)
% 171.35/26.22    (118)  all_56_7 = all_52_6
% 171.35/26.22    (119)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 171.35/26.22             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 171.35/26.22             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 171.35/26.22             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 171.35/26.22             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 171.35/26.22             (all_58_15 = e0))
% 171.35/26.22    (120)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 171.35/26.22    (121)  all_54_5 = all_4_2
% 171.35/26.22    (122)  op(e2, all_52_13) = all_58_7
% 171.35/26.22    (123)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 171.35/26.22    (124)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 171.35/26.22           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 171.35/26.22           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.35/26.22           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 171.35/26.22           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.35/26.22           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 171.35/26.22           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.35/26.22           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 171.35/26.22           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 171.35/26.22           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 171.35/26.22             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 171.35/26.22             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 171.35/26.22             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 171.35/26.22             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 171.35/26.22             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 171.35/26.22             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 171.35/26.22             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 171.35/26.22             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 171.35/26.22             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 171.35/26.22             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 171.35/26.22             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 171.35/26.22             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 171.35/26.22             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 171.35/26.22             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 171.35/26.22             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 171.35/26.22             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 171.35/26.22           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 171.35/26.22           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 171.35/26.22           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 171.35/26.22             all_58_30 = e0 & e1 = e0)
% 171.35/26.22    (125)  all_54_7 = all_52_13
% 171.35/26.22    (126)  all_58_23 = e0
% 171.35/26.22    (127)   ~ (all_10_1 = e0)
% 171.35/26.22    (128)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 171.35/26.22    (129)   ~ (all_52_12 = all_52_13)
% 171.35/26.22  
% 171.35/26.22  Begin of proof
% 171.35/26.22  | 
% 171.35/26.22  | BETA: splitting (64) gives:
% 171.35/26.22  | 
% 171.35/26.22  | Case 1:
% 171.35/26.22  | | 
% 171.35/26.22  | |   (130)  all_56_4 = e0
% 171.35/26.22  | | 
% 171.35/26.22  | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (11), (12), (16), (17), (18), (19),
% 171.35/26.22  | |            (21), (23), (24), (26), (27), (28), (29), (30), (31), (35), (36),
% 171.35/26.22  | |            (37), (38), (39), (40), (41), (42), (43), (45), (46), (47), (48),
% 171.35/26.22  | |            (49), (51), (55), (57), (58), (59), (60), (61), (62), (63), (66),
% 171.35/26.22  | |            (67), (68), (69), (71), (73), (74), (75), (77), (78), (79), (80),
% 171.35/26.22  | |            (81), (82), (83), (85), (87), (89), (93), (96), (97), (99),
% 171.35/26.22  | |            (101), (102), (103), (104), (105), (106), (109), (110), (112),
% 171.35/26.22  | |            (113), (114), (115), (117), (118), (119), (120), (122), (123),
% 171.35/26.22  | |            (127), (129), (130) are inconsistent by sub-proof #153.
% 171.35/26.22  | | 
% 171.35/26.22  | Case 2:
% 171.35/26.22  | | 
% 171.35/26.22  | |   (131)   ~ (all_56_4 = e0)
% 171.35/26.22  | | 
% 171.35/26.22  | | REDUCE: (75), (131) imply:
% 171.35/26.22  | |   (132)   ~ (all_52_8 = e0)
% 171.35/26.22  | | 
% 171.35/26.22  | | BETA: splitting (84) gives:
% 171.35/26.22  | | 
% 171.35/26.22  | | Case 1:
% 171.35/26.22  | | | 
% 171.35/26.22  | | |   (133)  all_56_0 = e0
% 171.35/26.22  | | | 
% 171.35/26.22  | | | COMBINE_EQS: (38), (133) imply:
% 171.35/26.22  | | |   (134)  all_6_2 = e0
% 171.35/26.22  | | | 
% 171.35/26.22  | | | REDUCE: (72), (134) imply:
% 171.35/26.22  | | |   (135)  $false
% 171.35/26.22  | | | 
% 171.35/26.22  | | | CLOSE: (135) is inconsistent.
% 171.35/26.22  | | | 
% 171.35/26.22  | | Case 2:
% 171.35/26.22  | | | 
% 171.35/26.22  | | |   (136)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.35/26.22  | | | 
% 171.35/26.22  | | | BETA: splitting (136) gives:
% 171.35/26.22  | | | 
% 171.35/26.22  | | | Case 1:
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | |   (137)  all_56_1 = e0
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | | COMBINE_EQS: (2), (137) imply:
% 171.35/26.22  | | | |   (138)  all_52_4 = e0
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | | REDUCE: (33), (138) imply:
% 171.35/26.22  | | | |   (139)  $false
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | | CLOSE: (139) is inconsistent.
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | Case 2:
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | |   (140)  all_56_4 = e0 | all_56_9 = e0
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | | BETA: splitting (140) gives:
% 171.35/26.22  | | | | 
% 171.35/26.22  | | | | Case 1:
% 171.35/26.22  | | | | | 
% 171.35/26.22  | | | | |   (141)  all_56_4 = e0
% 171.35/26.22  | | | | | 
% 171.35/26.22  | | | | | COMBINE_EQS: (75), (141) imply:
% 171.35/26.22  | | | | |   (142)  all_52_8 = e0
% 171.35/26.22  | | | | | 
% 171.35/26.22  | | | | | REDUCE: (132), (142) imply:
% 171.35/26.22  | | | | |   (143)  $false
% 171.35/26.22  | | | | | 
% 171.35/26.22  | | | | | CLOSE: (143) is inconsistent.
% 171.35/26.22  | | | | | 
% 171.35/26.22  | | | | Case 2:
% 171.35/26.22  | | | | | 
% 171.35/26.22  | | | | |   (144)  all_56_9 = e0
% 171.35/26.22  | | | | | 
% 171.35/26.22  | | | | | COMBINE_EQS: (48), (144) imply:
% 171.35/26.22  | | | | |   (145)  all_52_12 = e0
% 171.35/26.22  | | | | | 
% 171.35/26.22  | | | | | COMBINE_EQS: (115), (145) imply:
% 171.35/26.22  | | | | |   (146)  all_58_28 = e0
% 171.35/26.22  | | | | | 
% 171.35/26.22  | | | | | REDUCE: (129), (145) imply:
% 171.35/26.22  | | | | |   (147)   ~ (all_52_13 = e0)
% 171.35/26.22  | | | | | 
% 171.35/26.22  | | | | | SIMP: (147) implies:
% 171.35/26.22  | | | | |   (148)   ~ (all_52_13 = e0)
% 171.35/26.22  | | | | | 
% 171.35/26.22  | | | | | REDUCE: (90), (145) imply:
% 171.35/26.22  | | | | |   (149)   ~ (all_52_14 = e0)
% 171.35/26.22  | | | | | 
% 171.35/26.22  | | | | | REDUCE: (1), (145) imply:
% 171.35/26.22  | | | | |   (150)   ~ (all_14_2 = e0)
% 171.35/26.22  | | | | | 
% 171.35/26.22  | | | | | SIMP: (150) implies:
% 171.35/26.22  | | | | |   (151)   ~ (all_14_2 = e0)
% 171.35/26.22  | | | | | 
% 171.35/26.22  | | | | | REDUCE: (11), (145) imply:
% 171.35/26.22  | | | | |   (152)   ~ (all_6_2 = e0)
% 171.35/26.22  | | | | | 
% 171.35/26.22  | | | | | BETA: splitting (80) gives:
% 171.35/26.22  | | | | | 
% 171.35/26.22  | | | | | Case 1:
% 171.35/26.22  | | | | | | 
% 171.35/26.22  | | | | | |   (153)  all_54_12 = e0
% 171.35/26.22  | | | | | | 
% 171.35/26.22  | | | | | | COMBINE_EQS: (105), (153) imply:
% 171.35/26.22  | | | | | |   (154)  all_52_3 = e0
% 171.35/26.22  | | | | | | 
% 171.35/26.22  | | | | | | REDUCE: (110), (154) imply:
% 171.35/26.23  | | | | | |   (155)  $false
% 171.35/26.23  | | | | | | 
% 171.35/26.23  | | | | | | CLOSE: (155) is inconsistent.
% 171.35/26.23  | | | | | | 
% 171.35/26.23  | | | | | Case 2:
% 171.35/26.23  | | | | | | 
% 171.35/26.23  | | | | | |   (156)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 171.35/26.23  | | | | | | 
% 171.35/26.23  | | | | | | REF_CLOSE: (2), (6), (7), (8), (9), (10), (13), (14), (15), (17),
% 171.35/26.23  | | | | | |            (20), (22), (25), (26), (27), (28), (29), (30), (31),
% 171.35/26.23  | | | | | |            (32), (33), (34), (35), (36), (37), (38), (40), (41),
% 171.35/26.23  | | | | | |            (42), (44), (45), (47), (49), (50), (51), (52), (53),
% 171.35/26.23  | | | | | |            (54), (55), (56), (58), (59), (60), (62), (65), (66),
% 171.35/26.23  | | | | | |            (67), (68), (69), (70), (72), (73), (74), (75), (76),
% 171.35/26.23  | | | | | |            (78), (83), (85), (86), (87), (88), (89), (91), (92),
% 171.35/26.23  | | | | | |            (94), (95), (97), (98), (99), (100), (101), (102), (103),
% 171.35/26.23  | | | | | |            (104), (105), (107), (108), (109), (110), (111), (112),
% 171.35/26.23  | | | | | |            (113), (114), (116), (117), (118), (120), (121), (124),
% 171.35/26.23  | | | | | |            (125), (126), (128), (144), (146), (148), (151), (156)
% 171.35/26.23  | | | | | |            are inconsistent by sub-proof #195.
% 171.35/26.23  | | | | | | 
% 171.35/26.23  | | | | | End of split
% 171.35/26.23  | | | | | 
% 171.35/26.23  | | | | End of split
% 171.35/26.23  | | | | 
% 171.35/26.23  | | | End of split
% 171.35/26.23  | | | 
% 171.35/26.23  | | End of split
% 171.35/26.23  | | 
% 171.35/26.23  | End of split
% 171.35/26.23  | 
% 171.35/26.23  End of proof
% 171.35/26.23  
% 171.35/26.23  Sub-proof #153 shows that the following formulas are inconsistent:
% 171.35/26.23  ----------------------------------------------------------------
% 171.35/26.23    (1)  all_56_1 = all_52_4
% 171.35/26.23    (2)  all_56_12 = all_52_3
% 171.35/26.23    (3)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.35/26.23    (4)   ~ (all_52_8 = all_52_12)
% 171.35/26.23    (5)   ~ (e3 = e1)
% 171.35/26.23    (6)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.35/26.23    (7)   ~ (all_52_12 = all_6_2)
% 171.35/26.23    (8)  op(e2, e0) = all_52_13
% 171.35/26.23    (9)  op(e3, all_52_4) = all_58_1
% 171.35/26.23    (10)  all_54_1 = all_52_4
% 171.35/26.23    (11)  op(all_10_2, e1) = all_10_1
% 171.35/26.23    (12)  op(e1, all_10_2) = all_58_10
% 171.35/26.23    (13)  op(e1, e1) = all_10_2
% 171.35/26.23    (14)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.35/26.23    (15)  op(e0, all_52_3) = all_58_12
% 171.35/26.23    (16)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.35/26.23    (17)  all_58_26 = all_10_2
% 171.35/26.23    (18)   ~ (all_52_4 = all_52_6)
% 171.35/26.23    (19)  all_58_31 = all_14_2
% 171.35/26.23    (20)   ~ (all_52_9 = all_52_13)
% 171.35/26.23    (21)   ~ (all_52_3 = all_6_2)
% 171.35/26.23    (22)  all_58_18 = e0
% 171.35/26.23    (23)   ~ (all_52_1 = all_6_2)
% 171.35/26.23    (24)  all_56_11 = all_52_14
% 171.35/26.23    (25)  all_56_0 = all_6_2
% 171.35/26.23    (26)   ~ (all_52_9 = all_10_2)
% 171.35/26.23    (27)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.35/26.23    (28)  all_58_30 = all_52_14
% 171.35/26.23    (29)  all_58_27 = all_52_11
% 171.35/26.23    (30)  op(e3, e2) = all_52_4
% 171.35/26.23    (31)  all_58_17 = all_52_1
% 171.35/26.23    (32)  op(e3, e1) = all_52_8
% 171.35/26.23    (33)  all_58_19 = all_52_3
% 171.35/26.23    (34)  all_56_9 = all_52_12
% 171.35/26.23    (35)  all_56_4 = e0
% 171.35/26.23    (36)   ~ (e3 = e2)
% 171.35/26.23    (37)   ~ (all_52_6 = all_10_2)
% 171.35/26.23    (38)   ~ (all_52_13 = all_14_2)
% 171.35/26.23    (39)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.35/26.23    (40)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.35/26.23    (41)  all_54_9 = all_52_6
% 171.35/26.23    (42)   ~ (all_52_13 = all_52_14)
% 171.35/26.23    (43)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.35/26.23    (44)  all_58_16 = all_6_2
% 171.35/26.23    (45)  op(e0, e3) = all_52_3
% 171.35/26.23    (46)   ~ (all_52_4 = all_6_2)
% 171.35/26.23    (47)  all_56_2 = all_52_1
% 171.35/26.23    (48)   ~ (e3 = e0)
% 171.35/26.23    (49)  all_58_29 = all_52_13
% 171.35/26.23    (50)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 171.35/26.23    (51)   ~ (all_52_6 = all_52_14)
% 171.35/26.23    (52)   ~ (all_52_8 = all_10_2)
% 171.35/26.23    (53)  all_56_4 = all_52_8
% 171.35/26.23    (54)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 171.35/26.23    (55)   ~ (all_52_1 = all_52_13)
% 171.35/26.23    (56)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 171.35/26.23    (57)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 171.35/26.23    (58)  all_54_10 = all_10_2
% 171.35/26.23    (59)   ~ (all_52_8 = all_52_11)
% 171.35/26.23    (60)   ~ (all_52_8 = all_6_2)
% 171.35/26.23    (61)   ~ (all_52_1 = all_52_9)
% 171.35/26.23    (62)  all_56_6 = e0
% 171.35/26.23    (63)  all_58_24 = all_52_8
% 171.35/26.23    (64)   ~ (all_52_4 = all_52_12)
% 171.35/26.23    (65)  all_54_0 = all_6_2
% 171.35/26.23    (66)   ~ (all_52_14 = all_10_2)
% 171.35/26.23    (67)   ~ (all_52_4 = all_52_8)
% 171.35/26.23    (68)  all_58_25 = all_52_9
% 171.35/26.23    (69)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.35/26.23    (70)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.35/26.23            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.35/26.23    (71)   ~ (all_52_6 = e0)
% 171.35/26.23    (72)  all_54_12 = all_52_3
% 171.35/26.23    (73)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 171.35/26.23    (74)  all_56_10 = all_52_13
% 171.35/26.23    (75)   ~ (all_52_3 = e0)
% 171.35/26.23    (76)   ~ (e2 = e0)
% 171.35/26.23    (77)   ~ (all_52_1 = all_52_3)
% 171.35/26.23    (78)   ~ (all_52_14 = e0)
% 171.35/26.23    (79)  all_58_28 = all_52_12
% 171.35/26.23    (80)   ~ (e1 = e0)
% 171.35/26.23    (81)  all_56_7 = all_52_6
% 171.35/26.23    (82)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 171.35/26.23            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 171.35/26.23            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 171.35/26.23            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 171.35/26.23            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 171.35/26.23            (all_58_15 = e0))
% 171.35/26.23    (83)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 171.35/26.23    (84)  op(e2, all_52_13) = all_58_7
% 171.35/26.23    (85)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 171.35/26.23    (86)   ~ (all_10_1 = e0)
% 171.35/26.23    (87)   ~ (all_52_12 = all_52_13)
% 171.35/26.23  
% 171.35/26.23  Begin of proof
% 171.35/26.23  | 
% 171.35/26.23  | COMBINE_EQS: (35), (53) imply:
% 171.35/26.23  |   (88)  all_52_8 = e0
% 171.35/26.23  | 
% 171.35/26.23  | COMBINE_EQS: (63), (88) imply:
% 171.35/26.23  |   (89)  all_58_24 = e0
% 171.35/26.23  | 
% 171.35/26.23  | REDUCE: (67), (88) imply:
% 171.35/26.23  |   (90)   ~ (all_52_4 = e0)
% 171.35/26.23  | 
% 171.35/26.23  | REDUCE: (59), (88) imply:
% 171.35/26.23  |   (91)   ~ (all_52_11 = e0)
% 171.35/26.23  | 
% 171.35/26.23  | SIMP: (91) implies:
% 171.35/26.23  |   (92)   ~ (all_52_11 = e0)
% 171.35/26.23  | 
% 171.35/26.23  | REDUCE: (4), (88) imply:
% 171.35/26.23  |   (93)   ~ (all_52_12 = e0)
% 171.35/26.23  | 
% 171.35/26.23  | SIMP: (93) implies:
% 171.35/26.23  |   (94)   ~ (all_52_12 = e0)
% 171.35/26.23  | 
% 171.35/26.23  | REDUCE: (52), (88) imply:
% 171.35/26.23  |   (95)   ~ (all_10_2 = e0)
% 171.35/26.23  | 
% 171.35/26.23  | SIMP: (95) implies:
% 171.35/26.23  |   (96)   ~ (all_10_2 = e0)
% 171.35/26.23  | 
% 171.35/26.23  | REDUCE: (60), (88) imply:
% 171.35/26.23  |   (97)   ~ (all_6_2 = e0)
% 171.35/26.23  | 
% 171.35/26.23  | SIMP: (97) implies:
% 171.35/26.23  |   (98)   ~ (all_6_2 = e0)
% 171.35/26.23  | 
% 171.35/26.23  | REDUCE: (32), (88) imply:
% 171.35/26.23  |   (99)  op(e3, e1) = e0
% 171.35/26.23  | 
% 171.35/26.23  | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 171.35/26.23  |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 171.35/26.23  |            (25), (26), (27), (28), (29), (30), (31), (33), (34), (36), (37),
% 171.35/26.23  |            (38), (39), (40), (41), (42), (43), (44), (45), (46), (47), (48),
% 171.35/26.23  |            (49), (50), (51), (54), (55), (56), (57), (58), (61), (62), (64),
% 171.35/26.23  |            (65), (66), (68), (69), (70), (71), (72), (73), (74), (75), (76),
% 171.35/26.23  |            (77), (78), (79), (80), (81), (82), (83), (84), (85), (86), (87),
% 171.35/26.23  |            (89), (90), (92), (94), (96), (98), (99) are inconsistent by
% 171.35/26.23  |            sub-proof #154.
% 171.35/26.23  | 
% 171.35/26.23  End of proof
% 171.35/26.23  
% 171.35/26.23  Sub-proof #154 shows that the following formulas are inconsistent:
% 171.35/26.23  ----------------------------------------------------------------
% 171.35/26.23    (1)  all_56_1 = all_52_4
% 171.35/26.23    (2)  all_56_12 = all_52_3
% 171.35/26.23    (3)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.35/26.23    (4)   ~ (all_10_2 = e0)
% 171.35/26.23    (5)   ~ (e3 = e1)
% 171.35/26.23    (6)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.35/26.23    (7)   ~ (all_52_12 = all_6_2)
% 171.35/26.23    (8)  op(e2, e0) = all_52_13
% 171.35/26.23    (9)  op(e3, all_52_4) = all_58_1
% 171.35/26.23    (10)  all_54_1 = all_52_4
% 171.35/26.23    (11)  op(all_10_2, e1) = all_10_1
% 171.35/26.23    (12)  op(e1, all_10_2) = all_58_10
% 171.35/26.23    (13)  op(e1, e1) = all_10_2
% 171.35/26.23    (14)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.35/26.23    (15)  op(e0, all_52_3) = all_58_12
% 171.35/26.23    (16)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.35/26.23    (17)  all_58_26 = all_10_2
% 171.35/26.23    (18)   ~ (all_52_4 = all_52_6)
% 171.35/26.23    (19)  all_58_31 = all_14_2
% 171.35/26.23    (20)   ~ (all_52_9 = all_52_13)
% 171.35/26.23    (21)   ~ (all_52_3 = all_6_2)
% 171.35/26.23    (22)   ~ (all_52_4 = e0)
% 171.35/26.23    (23)  all_58_18 = e0
% 171.35/26.23    (24)   ~ (all_52_1 = all_6_2)
% 171.35/26.23    (25)  all_56_11 = all_52_14
% 171.35/26.23    (26)  all_56_0 = all_6_2
% 171.35/26.23    (27)   ~ (all_52_9 = all_10_2)
% 171.35/26.23    (28)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.35/26.23    (29)  all_58_30 = all_52_14
% 171.35/26.23    (30)  all_58_27 = all_52_11
% 171.35/26.23    (31)  op(e3, e2) = all_52_4
% 171.35/26.23    (32)  all_58_17 = all_52_1
% 171.35/26.23    (33)  all_58_19 = all_52_3
% 171.35/26.23    (34)  all_56_9 = all_52_12
% 171.35/26.23    (35)   ~ (e3 = e2)
% 171.35/26.23    (36)   ~ (all_52_6 = all_10_2)
% 171.35/26.23    (37)   ~ (all_52_13 = all_14_2)
% 171.35/26.23    (38)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.35/26.23    (39)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.35/26.23    (40)  all_54_9 = all_52_6
% 171.35/26.23    (41)   ~ (all_52_13 = all_52_14)
% 171.35/26.23    (42)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.35/26.23    (43)  all_58_16 = all_6_2
% 171.35/26.23    (44)  op(e0, e3) = all_52_3
% 171.35/26.23    (45)   ~ (all_52_12 = e0)
% 171.35/26.23    (46)   ~ (all_52_4 = all_6_2)
% 171.35/26.23    (47)  all_56_2 = all_52_1
% 171.35/26.23    (48)   ~ (e3 = e0)
% 171.35/26.23    (49)  all_58_29 = all_52_13
% 171.35/26.23    (50)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 171.35/26.23    (51)   ~ (all_6_2 = e0)
% 171.35/26.23    (52)   ~ (all_52_6 = all_52_14)
% 171.35/26.23    (53)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 171.35/26.23    (54)   ~ (all_52_1 = all_52_13)
% 171.35/26.23    (55)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 171.35/26.23    (56)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 171.35/26.23    (57)  all_54_10 = all_10_2
% 171.35/26.23    (58)  op(e3, e1) = e0
% 171.35/26.23    (59)   ~ (all_52_1 = all_52_9)
% 171.35/26.23    (60)  all_56_6 = e0
% 171.35/26.23    (61)   ~ (all_52_4 = all_52_12)
% 171.35/26.23    (62)  all_54_0 = all_6_2
% 171.35/26.23    (63)   ~ (all_52_14 = all_10_2)
% 171.35/26.23    (64)  all_58_24 = e0
% 171.35/26.23    (65)   ~ (all_52_11 = e0)
% 171.35/26.23    (66)  all_58_25 = all_52_9
% 171.35/26.23    (67)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.35/26.23    (68)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.35/26.23            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.35/26.23    (69)   ~ (all_52_6 = e0)
% 171.35/26.23    (70)  all_54_12 = all_52_3
% 171.35/26.23    (71)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 171.35/26.23    (72)  all_56_10 = all_52_13
% 171.35/26.23    (73)   ~ (all_52_3 = e0)
% 171.35/26.23    (74)   ~ (e2 = e0)
% 171.35/26.23    (75)   ~ (all_52_1 = all_52_3)
% 171.35/26.23    (76)   ~ (all_52_14 = e0)
% 171.35/26.23    (77)  all_58_28 = all_52_12
% 171.35/26.23    (78)   ~ (e1 = e0)
% 171.35/26.23    (79)  all_56_7 = all_52_6
% 171.35/26.23    (80)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 171.35/26.23            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 171.35/26.23            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 171.35/26.23            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 171.35/26.23            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 171.35/26.23            (all_58_15 = e0))
% 171.35/26.23    (81)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 171.35/26.23    (82)  op(e2, all_52_13) = all_58_7
% 171.35/26.23    (83)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 171.35/26.23    (84)   ~ (all_10_1 = e0)
% 171.35/26.23    (85)   ~ (all_52_12 = all_52_13)
% 171.35/26.23  
% 171.35/26.23  Begin of proof
% 171.35/26.23  | 
% 171.35/26.23  | BETA: splitting (71) gives:
% 171.35/26.23  | 
% 171.35/26.23  | Case 1:
% 171.35/26.23  | | 
% 171.35/26.23  | |   (86)  all_56_9 = e0
% 171.35/26.23  | | 
% 171.35/26.23  | | COMBINE_EQS: (34), (86) imply:
% 171.35/26.23  | |   (87)  all_52_12 = e0
% 171.35/26.23  | | 
% 171.35/26.23  | | REDUCE: (45), (87) imply:
% 171.35/26.23  | |   (88)  $false
% 171.35/26.23  | | 
% 171.35/26.23  | | CLOSE: (88) is inconsistent.
% 171.35/26.23  | | 
% 171.35/26.23  | Case 2:
% 171.35/26.23  | | 
% 171.35/26.23  | |   (89)  all_56_10 = e0 | all_56_11 = e0
% 171.35/26.23  | | 
% 171.35/26.23  | | BETA: splitting (89) gives:
% 171.35/26.23  | | 
% 171.35/26.23  | | Case 1:
% 171.35/26.23  | | | 
% 171.35/26.23  | | |   (90)  all_56_10 = e0
% 171.35/26.23  | | | 
% 171.35/26.23  | | | COMBINE_EQS: (72), (90) imply:
% 171.35/26.23  | | |   (91)  all_52_13 = e0
% 171.35/26.23  | | | 
% 171.35/26.23  | | | SIMP: (91) implies:
% 171.35/26.23  | | |   (92)  all_52_13 = e0
% 171.35/26.23  | | | 
% 171.35/26.23  | | | COMBINE_EQS: (49), (92) imply:
% 171.35/26.23  | | |   (93)  all_58_29 = e0
% 171.35/26.23  | | | 
% 171.35/26.23  | | | REDUCE: (54), (92) imply:
% 171.35/26.23  | | |   (94)   ~ (all_52_1 = e0)
% 171.35/26.23  | | | 
% 171.35/26.23  | | | REDUCE: (20), (92) imply:
% 171.35/26.23  | | |   (95)   ~ (all_52_9 = e0)
% 171.35/26.23  | | | 
% 171.35/26.23  | | | REDUCE: (41), (92) imply:
% 171.35/26.23  | | |   (96)   ~ (all_52_14 = e0)
% 171.35/26.23  | | | 
% 171.35/26.23  | | | REDUCE: (37), (92) imply:
% 171.35/26.23  | | |   (97)   ~ (all_14_2 = e0)
% 171.35/26.23  | | | 
% 171.35/26.23  | | | SIMP: (97) implies:
% 171.35/26.23  | | |   (98)   ~ (all_14_2 = e0)
% 171.35/26.23  | | | 
% 171.35/26.23  | | | REDUCE: (82), (92) imply:
% 171.35/26.23  | | |   (99)  op(e2, e0) = all_58_7
% 171.35/26.23  | | | 
% 171.35/26.23  | | | REDUCE: (8), (92) imply:
% 171.35/26.23  | | |   (100)  op(e2, e0) = e0
% 171.35/26.23  | | | 
% 171.35/26.23  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13),
% 171.35/26.23  | | |            (14), (15), (16), (17), (18), (19), (21), (22), (23), (24),
% 171.35/26.23  | | |            (26), (27), (28), (29), (30), (31), (32), (33), (35), (36),
% 171.35/26.23  | | |            (38), (39), (40), (42), (43), (44), (45), (46), (47), (48),
% 171.35/26.23  | | |            (50), (51), (52), (53), (55), (56), (57), (58), (59), (60),
% 171.35/26.23  | | |            (61), (62), (63), (64), (65), (66), (67), (68), (69), (70),
% 171.35/26.23  | | |            (73), (74), (75), (76), (77), (78), (79), (80), (81), (83),
% 171.35/26.23  | | |            (84), (93), (94), (95), (98), (99), (100) are inconsistent by
% 171.35/26.23  | | |            sub-proof #155.
% 171.35/26.23  | | | 
% 171.35/26.23  | | Case 2:
% 171.35/26.23  | | | 
% 171.35/26.23  | | |   (101)  all_56_11 = e0
% 171.35/26.23  | | | 
% 171.35/26.23  | | | REF_CLOSE: (25), (76), (101) are inconsistent by sub-proof #873.
% 171.35/26.23  | | | 
% 171.35/26.23  | | End of split
% 171.35/26.23  | | 
% 171.35/26.23  | End of split
% 171.35/26.23  | 
% 171.35/26.23  End of proof
% 171.35/26.23  
% 171.35/26.23  Sub-proof #155 shows that the following formulas are inconsistent:
% 171.35/26.23  ----------------------------------------------------------------
% 171.35/26.23    (1)  all_56_1 = all_52_4
% 171.35/26.23    (2)  all_56_12 = all_52_3
% 171.35/26.23    (3)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.35/26.23    (4)   ~ (all_10_2 = e0)
% 171.35/26.23    (5)   ~ (e3 = e1)
% 171.35/26.23    (6)  op(e2, e0) = e0
% 171.35/26.23    (7)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.35/26.23    (8)   ~ (all_52_12 = all_6_2)
% 171.35/26.23    (9)  op(e3, all_52_4) = all_58_1
% 171.35/26.23    (10)  all_54_1 = all_52_4
% 171.35/26.23    (11)  op(all_10_2, e1) = all_10_1
% 171.35/26.23    (12)   ~ (all_14_2 = e0)
% 171.35/26.23    (13)  op(e1, all_10_2) = all_58_10
% 171.35/26.23    (14)  op(e1, e1) = all_10_2
% 171.35/26.23    (15)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.35/26.23    (16)  op(e0, all_52_3) = all_58_12
% 171.35/26.23    (17)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.35/26.23    (18)   ~ (all_52_9 = e0)
% 171.35/26.23    (19)  all_58_26 = all_10_2
% 171.35/26.23    (20)   ~ (all_52_4 = all_52_6)
% 171.35/26.23    (21)  all_58_31 = all_14_2
% 171.35/26.23    (22)   ~ (all_52_3 = all_6_2)
% 171.35/26.23    (23)   ~ (all_52_4 = e0)
% 171.35/26.23    (24)  all_58_18 = e0
% 171.35/26.23    (25)   ~ (all_52_1 = all_6_2)
% 171.35/26.23    (26)  all_56_0 = all_6_2
% 171.35/26.23    (27)   ~ (all_52_9 = all_10_2)
% 171.35/26.23    (28)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.35/26.23    (29)  all_58_30 = all_52_14
% 171.35/26.23    (30)  all_58_27 = all_52_11
% 171.35/26.23    (31)  op(e3, e2) = all_52_4
% 171.35/26.23    (32)  op(e2, e0) = all_58_7
% 171.35/26.23    (33)  all_58_17 = all_52_1
% 171.35/26.23    (34)  all_58_19 = all_52_3
% 171.35/26.23    (35)   ~ (e3 = e2)
% 171.35/26.23    (36)   ~ (all_52_6 = all_10_2)
% 171.35/26.23    (37)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.35/26.23    (38)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.35/26.23    (39)  all_54_9 = all_52_6
% 171.35/26.23    (40)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.35/26.23    (41)  all_58_16 = all_6_2
% 171.35/26.23    (42)  op(e0, e3) = all_52_3
% 171.35/26.23    (43)   ~ (all_52_12 = e0)
% 171.35/26.23    (44)   ~ (all_52_4 = all_6_2)
% 171.35/26.23    (45)  all_56_2 = all_52_1
% 171.35/26.23    (46)   ~ (e3 = e0)
% 171.35/26.23    (47)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 171.35/26.23    (48)   ~ (all_6_2 = e0)
% 171.35/26.23    (49)   ~ (all_52_6 = all_52_14)
% 171.35/26.23    (50)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 171.35/26.23    (51)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 171.35/26.23    (52)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 171.35/26.23    (53)  all_54_10 = all_10_2
% 171.35/26.23    (54)  op(e3, e1) = e0
% 171.35/26.23    (55)   ~ (all_52_1 = all_52_9)
% 171.35/26.23    (56)  all_56_6 = e0
% 171.35/26.23    (57)   ~ (all_52_4 = all_52_12)
% 171.35/26.23    (58)  all_54_0 = all_6_2
% 171.35/26.23    (59)  all_58_29 = e0
% 171.35/26.23    (60)   ~ (all_52_14 = all_10_2)
% 171.35/26.23    (61)  all_58_24 = e0
% 171.35/26.23    (62)   ~ (all_52_11 = e0)
% 171.35/26.23    (63)   ~ (all_52_1 = e0)
% 171.35/26.23    (64)  all_58_25 = all_52_9
% 171.35/26.23    (65)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.35/26.23    (66)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.35/26.23            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.35/26.23    (67)   ~ (all_52_6 = e0)
% 171.35/26.23    (68)  all_54_12 = all_52_3
% 171.35/26.23    (69)   ~ (all_52_3 = e0)
% 171.35/26.23    (70)   ~ (e2 = e0)
% 171.35/26.23    (71)   ~ (all_52_1 = all_52_3)
% 171.35/26.23    (72)   ~ (all_52_14 = e0)
% 171.35/26.23    (73)  all_58_28 = all_52_12
% 171.35/26.23    (74)   ~ (e1 = e0)
% 171.35/26.23    (75)  all_56_7 = all_52_6
% 171.35/26.23    (76)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 171.35/26.23            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 171.35/26.23            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 171.35/26.23            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 171.35/26.23            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 171.35/26.23            (all_58_15 = e0))
% 171.35/26.23    (77)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 171.35/26.23    (78)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 171.35/26.23    (79)   ~ (all_10_1 = e0)
% 171.35/26.23  
% 171.35/26.23  Begin of proof
% 171.35/26.23  | 
% 171.35/26.23  | GROUND_INST: instantiating (66) with e0, all_58_7, e0, e2, simplifying with
% 171.35/26.23  |              (6), (32) gives:
% 171.35/26.23  |   (80)  all_58_7 = e0
% 171.35/26.23  | 
% 171.35/26.23  | BETA: splitting (3) gives:
% 171.35/26.23  | 
% 171.35/26.23  | Case 1:
% 171.35/26.23  | | 
% 171.35/26.23  | |   (81)  all_54_0 = e0
% 171.35/26.23  | | 
% 171.35/26.23  | | REF_CLOSE: (48), (58), (81) are inconsistent by sub-proof #984.
% 171.35/26.23  | | 
% 171.35/26.23  | Case 2:
% 171.35/26.23  | | 
% 171.35/26.23  | |   (82)   ~ (all_54_0 = e0)
% 171.35/26.23  | |   (83)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 171.35/26.23  | | 
% 171.35/26.23  | | BETA: splitting (38) gives:
% 171.35/26.23  | | 
% 171.35/26.23  | | Case 1:
% 171.35/26.23  | | | 
% 171.35/26.23  | | |   (84)  all_54_1 = e0
% 171.35/26.23  | | | 
% 171.35/26.23  | | | REF_CLOSE: (10), (23), (84) are inconsistent by sub-proof #866.
% 171.35/26.23  | | | 
% 171.35/26.23  | | Case 2:
% 171.35/26.23  | | | 
% 171.35/26.23  | | |   (85)   ~ (all_54_1 = e0)
% 171.35/26.23  | | |   (86)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 171.35/26.23  | | | 
% 171.35/26.23  | | | BETA: splitting (52) gives:
% 171.35/26.23  | | | 
% 171.35/26.23  | | | Case 1:
% 171.35/26.23  | | | | 
% 171.35/26.23  | | | |   (87)  all_54_12 = e0
% 171.35/26.23  | | | | 
% 171.35/26.23  | | | | COMBINE_EQS: (68), (87) imply:
% 171.35/26.23  | | | |   (88)  all_52_3 = e0
% 171.35/26.23  | | | | 
% 171.35/26.23  | | | | REDUCE: (69), (88) imply:
% 171.35/26.23  | | | |   (89)  $false
% 171.35/26.23  | | | | 
% 171.35/26.23  | | | | CLOSE: (89) is inconsistent.
% 171.35/26.23  | | | | 
% 171.35/26.23  | | | Case 2:
% 171.35/26.23  | | | | 
% 171.35/26.23  | | | |   (90)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 171.35/26.23  | | | | 
% 171.35/26.23  | | | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 171.35/26.23  | | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 171.35/26.23  | | | |            (24), (25), (26), (27), (28), (29), (30), (31), (33), (34),
% 171.35/26.23  | | | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (44),
% 171.35/26.23  | | | |            (45), (46), (47), (48), (49), (50), (51), (53), (54), (55),
% 171.35/26.23  | | | |            (56), (57), (58), (59), (60), (61), (62), (63), (64), (65),
% 171.35/26.23  | | | |            (66), (67), (68), (69), (70), (71), (72), (73), (74), (75),
% 171.35/26.23  | | | |            (76), (77), (78), (79), (80), (83), (86), (90) are
% 171.35/26.23  | | | |            inconsistent by sub-proof #198.
% 171.35/26.23  | | | | 
% 171.35/26.23  | | | End of split
% 171.35/26.23  | | | 
% 171.35/26.23  | | End of split
% 171.35/26.23  | | 
% 171.35/26.23  | End of split
% 171.35/26.23  | 
% 171.35/26.23  End of proof
% 171.35/26.23  
% 171.35/26.23  Sub-proof #156 shows that the following formulas are inconsistent:
% 171.35/26.23  ----------------------------------------------------------------
% 171.35/26.23    (1)   ~ (all_52_12 = all_14_2)
% 171.35/26.23    (2)  all_56_1 = all_52_4
% 171.35/26.23    (3)  all_56_12 = all_52_3
% 171.35/26.23    (4)  op(e1, e3) = all_52_2
% 171.35/26.23    (5)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.35/26.23    (6)   ~ (all_52_8 = all_52_12)
% 171.35/26.23    (7)  all_58_23 = all_52_7
% 171.35/26.24    (8)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 171.35/26.24    (9)   ~ (all_52_2 = all_6_2)
% 171.35/26.24    (10)  all_8_2 = all_6_2
% 171.35/26.24    (11)   ~ (all_52_4 = all_4_2)
% 171.35/26.24    (12)  all_54_3 = all_52_12
% 171.35/26.24    (13)  all_56_5 = all_52_9
% 171.35/26.24    (14)   ~ (all_52_3 = all_52_11)
% 171.35/26.24    (15)  op(all_6_2, e3) = all_6_1
% 171.35/26.24    (16)   ~ (all_52_12 = all_6_2)
% 171.35/26.24    (17)  all_54_1 = all_52_4
% 171.35/26.24    (18)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 171.35/26.24    (19)  op(e1, all_10_2) = all_58_10
% 171.35/26.24    (20)   ~ (all_52_9 = all_4_2)
% 171.35/26.24    (21)   ~ (all_52_3 = all_52_7)
% 171.35/26.24    (22)  op(e1, e1) = all_10_2
% 171.35/26.24    (23)  all_56_14 = all_52_11
% 171.35/26.24    (24)  all_56_8 = all_10_2
% 171.35/26.24    (25)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.35/26.24    (26)  all_58_26 = all_10_2
% 171.35/26.24    (27)   ~ (all_52_4 = all_52_6)
% 171.35/26.24    (28)  all_58_31 = all_14_2
% 171.35/26.24    (29)   ~ (all_52_9 = all_52_13)
% 171.35/26.24    (30)   ~ (all_52_3 = all_6_2)
% 171.35/26.24    (31)   ~ (all_52_1 = all_6_2)
% 171.35/26.24    (32)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 171.35/26.24    (33)  all_56_11 = all_52_14
% 171.35/26.24    (34)  all_56_0 = all_6_2
% 171.35/26.24    (35)   ~ (all_52_9 = all_10_2)
% 171.35/26.24    (36)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.35/26.24    (37)  all_58_30 = all_52_14
% 171.35/26.24    (38)  all_58_27 = all_52_11
% 171.35/26.24    (39)  all_56_9 = all_52_12
% 171.35/26.24    (40)   ~ (all_52_2 = all_52_6)
% 171.35/26.24    (41)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 171.35/26.24    (42)   ~ (e3 = e2)
% 171.35/26.24    (43)  all_56_7 = e0 | all_56_13 = e0
% 171.35/26.24    (44)   ~ (e2 = e1)
% 171.35/26.24    (45)   ~ (all_52_6 = all_10_2)
% 171.35/26.24    (46)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 171.35/26.24    (47)   ~ (all_52_13 = all_14_2)
% 171.35/26.24    (48)   ~ (all_52_1 = all_4_2)
% 171.35/26.24    (49)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.35/26.24    (50)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.35/26.24    (51)   ~ (all_52_13 = all_52_14)
% 171.35/26.24    (52)  op(e2, e3) = all_52_1
% 171.35/26.24    (53)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.35/26.24    (54)  all_56_13 = all_52_7
% 171.35/26.24    (55)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 171.35/26.24    (56)   ~ (all_52_8 = all_52_9)
% 171.35/26.24    (57)   ~ (all_52_4 = all_6_2)
% 171.35/26.24    (58)  all_56_2 = all_52_1
% 171.35/26.24    (59)   ~ (e3 = e0)
% 171.35/26.24    (60)  all_58_29 = all_52_13
% 171.35/26.24    (61)   ~ (all_52_1 = all_52_2)
% 171.35/26.24    (62)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 171.35/26.24    (63)   ~ (all_52_6 = all_52_14)
% 171.35/26.24    (64)   ~ (all_52_8 = all_10_2)
% 171.35/26.24    (65)  all_56_4 = all_52_8
% 171.35/26.24    (66)   ~ (all_52_1 = all_52_13)
% 171.35/26.24    (67)  all_58_20 = all_52_4
% 171.35/26.24    (68)  op(all_10_2, e1) = e0
% 171.35/26.24    (69)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 171.35/26.24    (70)   ~ (all_52_8 = all_52_11)
% 171.35/26.24    (71)   ~ (all_52_8 = all_6_2)
% 171.35/26.24    (72)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 171.35/26.24    (73)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.35/26.24    (74)  all_56_6 = all_52_2
% 171.35/26.24    (75)   ~ (all_52_1 = all_52_9)
% 171.35/26.24    (76)   ~ (all_52_7 = e0)
% 171.35/26.24    (77)  all_58_24 = all_52_8
% 171.35/26.24    (78)   ~ (all_52_12 = all_52_14)
% 171.35/26.24    (79)   ~ (all_52_9 = all_52_11)
% 171.35/26.24    (80)  all_58_22 = all_52_6
% 171.35/26.24    (81)   ~ (all_52_4 = all_52_12)
% 171.35/26.24    (82)  all_56_3 = all_4_2
% 171.35/26.24    (83)  all_54_0 = all_6_2
% 171.35/26.24    (84)   ~ (all_52_14 = all_10_2)
% 171.35/26.24    (85)   ~ (all_52_1 = e0)
% 171.35/26.24    (86)   ~ (all_52_4 = all_52_8)
% 171.35/26.24    (87)  all_58_25 = all_52_9
% 171.35/26.24    (88)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.35/26.24            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.35/26.24    (89)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 171.35/26.24    (90)  all_58_21 = all_4_2
% 171.35/26.24    (91)  all_56_10 = all_52_13
% 171.35/26.24    (92)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.35/26.24    (93)   ~ (e2 = e0)
% 171.35/26.24    (94)  all_8_1 = all_6_1
% 171.35/26.24    (95)  all_58_28 = all_52_12
% 171.35/26.24    (96)   ~ (e1 = e0)
% 171.35/26.24    (97)  all_54_4 = all_52_1
% 171.35/26.24    (98)  all_56_7 = all_52_6
% 171.35/26.24    (99)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 171.35/26.24    (100)   ~ (all_52_2 = all_10_2)
% 171.35/26.24    (101)   ~ (all_52_12 = all_52_13)
% 171.35/26.24  
% 171.35/26.24  Begin of proof
% 171.35/26.24  | 
% 171.35/26.24  | BETA: splitting (43) gives:
% 171.35/26.24  | 
% 171.35/26.24  | Case 1:
% 171.35/26.24  | | 
% 171.35/26.24  | |   (102)  all_56_7 = e0
% 171.35/26.24  | | 
% 171.35/26.24  | | COMBINE_EQS: (98), (102) imply:
% 171.35/26.24  | |   (103)  all_52_6 = e0
% 171.35/26.24  | | 
% 171.35/26.24  | | COMBINE_EQS: (80), (103) imply:
% 171.35/26.24  | |   (104)  all_58_22 = e0
% 171.35/26.24  | | 
% 171.35/26.24  | | REDUCE: (40), (103) imply:
% 171.35/26.24  | |   (105)   ~ (all_52_2 = e0)
% 171.35/26.24  | | 
% 171.35/26.24  | | REDUCE: (27), (103) imply:
% 171.35/26.24  | |   (106)   ~ (all_52_4 = e0)
% 171.35/26.24  | | 
% 171.35/26.24  | | REDUCE: (63), (103) imply:
% 171.35/26.24  | |   (107)   ~ (all_52_14 = e0)
% 171.35/26.24  | | 
% 171.35/26.24  | | SIMP: (107) implies:
% 171.35/26.24  | |   (108)   ~ (all_52_14 = e0)
% 171.35/26.24  | | 
% 171.35/26.24  | | REDUCE: (45), (103) imply:
% 171.35/26.24  | |   (109)   ~ (all_10_2 = e0)
% 171.35/26.24  | | 
% 171.35/26.24  | | SIMP: (109) implies:
% 171.35/26.24  | |   (110)   ~ (all_10_2 = e0)
% 171.35/26.24  | | 
% 171.35/26.24  | | BETA: splitting (8) gives:
% 171.35/26.24  | | 
% 171.35/26.24  | | Case 1:
% 171.35/26.24  | | | 
% 171.35/26.24  | | |   (111)  all_56_2 = e0
% 171.35/26.24  | | | 
% 171.35/26.24  | | | COMBINE_EQS: (58), (111) imply:
% 171.35/26.24  | | |   (112)  all_52_1 = e0
% 171.35/26.24  | | | 
% 171.35/26.24  | | | REDUCE: (85), (112) imply:
% 171.35/26.24  | | |   (113)  $false
% 171.35/26.24  | | | 
% 171.35/26.24  | | | CLOSE: (113) is inconsistent.
% 171.35/26.24  | | | 
% 171.35/26.24  | | Case 2:
% 171.35/26.24  | | | 
% 171.35/26.24  | | |   (114)  all_56_6 = e0 | all_56_12 = e0
% 171.35/26.24  | | | 
% 171.35/26.24  | | | BETA: splitting (114) gives:
% 171.35/26.24  | | | 
% 171.35/26.24  | | | Case 1:
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | |   (115)  all_56_6 = e0
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | | COMBINE_EQS: (74), (115) imply:
% 171.35/26.24  | | | |   (116)  all_52_2 = e0
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | | REDUCE: (105), (116) imply:
% 171.35/26.24  | | | |   (117)  $false
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | | CLOSE: (117) is inconsistent.
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | Case 2:
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | |   (118)  all_56_12 = e0
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | | COMBINE_EQS: (3), (118) imply:
% 171.35/26.24  | | | |   (119)  all_52_3 = e0
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | | REDUCE: (21), (119) imply:
% 171.35/26.24  | | | |   (120)   ~ (all_52_7 = e0)
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | | REDUCE: (14), (119) imply:
% 171.35/26.24  | | | |   (121)   ~ (all_52_11 = e0)
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | | SIMP: (121) implies:
% 171.35/26.24  | | | |   (122)   ~ (all_52_11 = e0)
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | | REDUCE: (30), (119) imply:
% 171.35/26.24  | | | |   (123)   ~ (all_6_2 = e0)
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | | SIMP: (123) implies:
% 171.35/26.24  | | | |   (124)   ~ (all_6_2 = e0)
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (9), (10), (11), (12), (13),
% 171.35/26.24  | | | |            (15), (16), (17), (18), (19), (20), (22), (23), (24), (25),
% 171.35/26.24  | | | |            (26), (28), (29), (31), (32), (33), (34), (35), (36), (37),
% 171.35/26.24  | | | |            (38), (39), (41), (42), (44), (46), (47), (48), (49), (50),
% 171.35/26.24  | | | |            (51), (52), (53), (55), (56), (57), (58), (59), (60), (61),
% 171.35/26.24  | | | |            (62), (64), (65), (66), (67), (68), (69), (70), (71), (72),
% 171.35/26.24  | | | |            (73), (74), (75), (76), (77), (78), (79), (81), (82), (83),
% 171.35/26.24  | | | |            (84), (86), (87), (88), (89), (90), (91), (92), (93), (94),
% 171.35/26.24  | | | |            (95), (96), (97), (99), (100), (101), (104), (106), (108),
% 171.35/26.24  | | | |            (110), (118), (122), (124) are inconsistent by sub-proof
% 171.35/26.24  | | | |            #157.
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | End of split
% 171.35/26.24  | | | 
% 171.35/26.24  | | End of split
% 171.35/26.24  | | 
% 171.35/26.24  | Case 2:
% 171.35/26.24  | | 
% 171.35/26.24  | |   (125)  all_56_13 = e0
% 171.35/26.24  | | 
% 171.35/26.24  | | REF_CLOSE: (54), (76), (125) are inconsistent by sub-proof #942.
% 171.35/26.24  | | 
% 171.35/26.24  | End of split
% 171.35/26.24  | 
% 171.35/26.24  End of proof
% 171.35/26.24  
% 171.35/26.24  Sub-proof #157 shows that the following formulas are inconsistent:
% 171.35/26.24  ----------------------------------------------------------------
% 171.35/26.24    (1)   ~ (all_52_12 = all_14_2)
% 171.35/26.24    (2)  all_56_1 = all_52_4
% 171.35/26.24    (3)  op(e1, e3) = all_52_2
% 171.35/26.24    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.35/26.24    (5)   ~ (all_10_2 = e0)
% 171.35/26.24    (6)   ~ (all_52_8 = all_52_12)
% 171.35/26.24    (7)  all_58_23 = all_52_7
% 171.35/26.24    (8)   ~ (all_52_2 = all_6_2)
% 171.35/26.24    (9)  all_8_2 = all_6_2
% 171.35/26.24    (10)   ~ (all_52_4 = all_4_2)
% 171.35/26.24    (11)  all_54_3 = all_52_12
% 171.35/26.24    (12)  all_56_5 = all_52_9
% 171.35/26.24    (13)  op(all_6_2, e3) = all_6_1
% 171.35/26.24    (14)   ~ (all_52_12 = all_6_2)
% 171.35/26.24    (15)  all_54_1 = all_52_4
% 171.35/26.24    (16)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 171.35/26.24    (17)  op(e1, all_10_2) = all_58_10
% 171.35/26.24    (18)   ~ (all_52_9 = all_4_2)
% 171.35/26.24    (19)  op(e1, e1) = all_10_2
% 171.35/26.24    (20)  all_56_14 = all_52_11
% 171.35/26.24    (21)  all_56_12 = e0
% 171.35/26.24    (22)  all_56_8 = all_10_2
% 171.35/26.24    (23)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.35/26.24    (24)  all_58_26 = all_10_2
% 171.35/26.24    (25)  all_58_31 = all_14_2
% 171.35/26.24    (26)   ~ (all_52_9 = all_52_13)
% 171.35/26.24    (27)   ~ (all_52_4 = e0)
% 171.35/26.24    (28)   ~ (all_52_1 = all_6_2)
% 171.35/26.24    (29)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 171.35/26.24    (30)  all_56_11 = all_52_14
% 171.35/26.24    (31)  all_56_0 = all_6_2
% 171.35/26.24    (32)   ~ (all_52_9 = all_10_2)
% 171.35/26.24    (33)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.35/26.24    (34)  all_58_30 = all_52_14
% 171.35/26.24    (35)  all_58_27 = all_52_11
% 171.35/26.24    (36)  all_56_9 = all_52_12
% 171.35/26.24    (37)  all_58_22 = e0
% 171.35/26.24    (38)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 171.35/26.24    (39)   ~ (e3 = e2)
% 171.35/26.24    (40)   ~ (e2 = e1)
% 171.35/26.24    (41)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 171.35/26.24    (42)   ~ (all_52_13 = all_14_2)
% 171.35/26.24    (43)   ~ (all_52_1 = all_4_2)
% 171.35/26.24    (44)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.35/26.24    (45)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.35/26.24    (46)   ~ (all_52_13 = all_52_14)
% 171.35/26.24    (47)  op(e2, e3) = all_52_1
% 171.35/26.24    (48)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.35/26.24    (49)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 171.35/26.24    (50)   ~ (all_52_8 = all_52_9)
% 171.35/26.24    (51)   ~ (all_52_4 = all_6_2)
% 171.35/26.24    (52)  all_56_2 = all_52_1
% 171.35/26.24    (53)   ~ (e3 = e0)
% 171.35/26.24    (54)  all_58_29 = all_52_13
% 171.35/26.24    (55)   ~ (all_52_1 = all_52_2)
% 171.35/26.24    (56)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 171.35/26.24    (57)   ~ (all_6_2 = e0)
% 171.35/26.24    (58)   ~ (all_52_8 = all_10_2)
% 171.35/26.24    (59)  all_56_4 = all_52_8
% 171.35/26.24    (60)   ~ (all_52_1 = all_52_13)
% 171.35/26.24    (61)  all_58_20 = all_52_4
% 171.35/26.24    (62)  op(all_10_2, e1) = e0
% 171.35/26.24    (63)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 171.35/26.24    (64)   ~ (all_52_8 = all_52_11)
% 171.35/26.24    (65)   ~ (all_52_8 = all_6_2)
% 171.35/26.24    (66)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 171.35/26.24    (67)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.35/26.24    (68)  all_56_6 = all_52_2
% 171.35/26.24    (69)   ~ (all_52_1 = all_52_9)
% 171.35/26.24    (70)   ~ (all_52_7 = e0)
% 171.35/26.24    (71)  all_58_24 = all_52_8
% 171.35/26.24    (72)   ~ (all_52_12 = all_52_14)
% 171.35/26.24    (73)   ~ (all_52_9 = all_52_11)
% 171.35/26.24    (74)   ~ (all_52_4 = all_52_12)
% 171.35/26.24    (75)  all_56_3 = all_4_2
% 171.35/26.24    (76)  all_54_0 = all_6_2
% 171.35/26.24    (77)   ~ (all_52_14 = all_10_2)
% 171.35/26.24    (78)   ~ (all_52_11 = e0)
% 171.35/26.24    (79)   ~ (all_52_4 = all_52_8)
% 171.35/26.24    (80)  all_58_25 = all_52_9
% 171.35/26.24    (81)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.35/26.24            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.35/26.24    (82)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 171.35/26.24    (83)  all_58_21 = all_4_2
% 171.35/26.24    (84)  all_56_10 = all_52_13
% 171.35/26.24    (85)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.35/26.24    (86)   ~ (e2 = e0)
% 171.35/26.24    (87)   ~ (all_52_14 = e0)
% 171.35/26.24    (88)  all_8_1 = all_6_1
% 171.35/26.24    (89)  all_58_28 = all_52_12
% 171.35/26.24    (90)   ~ (e1 = e0)
% 171.35/26.24    (91)  all_54_4 = all_52_1
% 171.35/26.24    (92)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 171.35/26.24    (93)   ~ (all_52_2 = all_10_2)
% 171.35/26.24    (94)   ~ (all_52_12 = all_52_13)
% 171.35/26.24  
% 171.35/26.24  Begin of proof
% 171.35/26.24  | 
% 171.35/26.24  | BETA: splitting (49) gives:
% 171.35/26.24  | 
% 171.35/26.24  | Case 1:
% 171.35/26.24  | | 
% 171.35/26.24  | |   (95)  all_56_4 = e0
% 171.35/26.24  | | 
% 171.35/26.24  | | COMBINE_EQS: (59), (95) imply:
% 171.35/26.24  | |   (96)  all_52_8 = e0
% 171.35/26.24  | | 
% 171.35/26.24  | | COMBINE_EQS: (71), (96) imply:
% 171.35/26.24  | |   (97)  all_58_24 = e0
% 171.35/26.24  | | 
% 171.35/26.24  | | REDUCE: (64), (96) imply:
% 171.35/26.24  | |   (98)   ~ (all_52_11 = e0)
% 171.35/26.24  | | 
% 171.35/26.24  | | REDUCE: (6), (96) imply:
% 171.35/26.24  | |   (99)   ~ (all_52_12 = e0)
% 171.35/26.24  | | 
% 171.35/26.24  | | SIMP: (99) implies:
% 171.35/26.24  | |   (100)   ~ (all_52_12 = e0)
% 171.35/26.24  | | 
% 171.35/26.24  | | REDUCE: (58), (96) imply:
% 171.35/26.24  | |   (101)   ~ (all_10_2 = e0)
% 171.35/26.24  | | 
% 171.35/26.24  | | REDUCE: (65), (96) imply:
% 171.35/26.24  | |   (102)   ~ (all_6_2 = e0)
% 171.35/26.24  | | 
% 171.35/26.24  | | BETA: splitting (82) gives:
% 171.35/26.24  | | 
% 171.35/26.24  | | Case 1:
% 171.35/26.24  | | | 
% 171.35/26.24  | | |   (103)  all_56_9 = e0
% 171.35/26.24  | | | 
% 171.35/26.24  | | | COMBINE_EQS: (36), (103) imply:
% 171.35/26.24  | | |   (104)  all_52_12 = e0
% 171.35/26.24  | | | 
% 171.35/26.24  | | | REDUCE: (100), (104) imply:
% 171.35/26.24  | | |   (105)  $false
% 171.35/26.24  | | | 
% 171.35/26.24  | | | CLOSE: (105) is inconsistent.
% 171.35/26.24  | | | 
% 171.35/26.24  | | Case 2:
% 171.35/26.24  | | | 
% 171.35/26.24  | | |   (106)  all_56_10 = e0 | all_56_11 = e0
% 171.35/26.24  | | | 
% 171.35/26.24  | | | BETA: splitting (106) gives:
% 171.35/26.24  | | | 
% 171.35/26.24  | | | Case 1:
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | |   (107)  all_56_10 = e0
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | | COMBINE_EQS: (84), (107) imply:
% 171.35/26.24  | | | |   (108)  all_52_13 = e0
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | | SIMP: (108) implies:
% 171.35/26.24  | | | |   (109)  all_52_13 = e0
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | | COMBINE_EQS: (54), (109) imply:
% 171.35/26.24  | | | |   (110)  all_58_29 = e0
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | | REDUCE: (60), (109) imply:
% 171.35/26.24  | | | |   (111)   ~ (all_52_1 = e0)
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | | REDUCE: (42), (109) imply:
% 171.35/26.24  | | | |   (112)   ~ (all_14_2 = e0)
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | | SIMP: (112) implies:
% 171.35/26.24  | | | |   (113)   ~ (all_14_2 = e0)
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | | BETA: splitting (4) gives:
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | | Case 1:
% 171.35/26.24  | | | | | 
% 171.35/26.24  | | | | |   (114)  all_54_0 = e0
% 171.35/26.24  | | | | | 
% 171.35/26.24  | | | | | REF_CLOSE: (57), (76), (114) are inconsistent by sub-proof #984.
% 171.35/26.24  | | | | | 
% 171.35/26.24  | | | | Case 2:
% 171.35/26.24  | | | | | 
% 171.35/26.24  | | | | |   (115)   ~ (all_54_0 = e0)
% 171.35/26.24  | | | | |   (116)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 171.35/26.24  | | | | | 
% 171.35/26.24  | | | | | BETA: splitting (16) gives:
% 171.35/26.24  | | | | | 
% 171.35/26.24  | | | | | Case 1:
% 171.35/26.24  | | | | | | 
% 171.35/26.24  | | | | | |   (117)  all_54_3 = e0
% 171.35/26.24  | | | | | | 
% 171.35/26.24  | | | | | | REF_CLOSE: (11), (100), (117) are inconsistent by sub-proof #898.
% 171.35/26.24  | | | | | | 
% 171.35/26.24  | | | | | Case 2:
% 171.35/26.24  | | | | | | 
% 171.35/26.24  | | | | | |   (118)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 171.35/26.24  | | | | | | 
% 171.35/26.24  | | | | | | BETA: splitting (33) gives:
% 171.35/26.24  | | | | | | 
% 171.35/26.24  | | | | | | Case 1:
% 171.35/26.24  | | | | | | | 
% 171.35/26.24  | | | | | | |   (119)  all_58_27 = e0
% 171.35/26.24  | | | | | | | 
% 171.35/26.24  | | | | | | | COMBINE_EQS: (35), (119) imply:
% 171.35/26.24  | | | | | | |   (120)  all_52_11 = e0
% 171.35/26.24  | | | | | | | 
% 171.35/26.24  | | | | | | | REDUCE: (78), (120) imply:
% 171.35/26.24  | | | | | | |   (121)  $false
% 171.35/26.24  | | | | | | | 
% 171.35/26.24  | | | | | | | CLOSE: (121) is inconsistent.
% 171.35/26.24  | | | | | | | 
% 171.35/26.24  | | | | | | Case 2:
% 171.35/26.24  | | | | | | | 
% 171.35/26.24  | | | | | | |   (122)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 171.35/26.24  | | | | | | | 
% 171.35/26.24  | | | | | | | BETA: splitting (63) gives:
% 171.35/26.24  | | | | | | | 
% 171.35/26.24  | | | | | | | Case 1:
% 171.35/26.24  | | | | | | | | 
% 171.35/26.24  | | | | | | | |   (123)  all_58_23 = e0
% 171.35/26.24  | | | | | | | | 
% 171.35/26.24  | | | | | | | | COMBINE_EQS: (7), (123) imply:
% 171.35/26.24  | | | | | | | |   (124)  all_52_7 = e0
% 171.35/26.24  | | | | | | | | 
% 171.35/26.24  | | | | | | | | REDUCE: (70), (124) imply:
% 171.35/26.24  | | | | | | | |   (125)  $false
% 171.35/26.24  | | | | | | | | 
% 171.35/26.24  | | | | | | | | CLOSE: (125) is inconsistent.
% 171.35/26.24  | | | | | | | | 
% 171.35/26.24  | | | | | | | Case 2:
% 171.35/26.24  | | | | | | | | 
% 171.35/26.24  | | | | | | | |   (126)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 171.35/26.24  | | | | | | | | 
% 171.35/26.24  | | | | | | | | BETA: splitting (23) gives:
% 171.35/26.24  | | | | | | | | 
% 171.35/26.24  | | | | | | | | Case 1:
% 171.35/26.24  | | | | | | | | | 
% 171.35/26.24  | | | | | | | | |   (127)  all_58_31 = e0
% 171.35/26.24  | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | COMBINE_EQS: (25), (127) imply:
% 171.35/26.24  | | | | | | | | |   (128)  all_14_2 = e0
% 171.35/26.24  | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | REDUCE: (113), (128) imply:
% 171.35/26.24  | | | | | | | | |   (129)  $false
% 171.35/26.24  | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | CLOSE: (129) is inconsistent.
% 171.35/26.24  | | | | | | | | | 
% 171.35/26.24  | | | | | | | | Case 2:
% 171.35/26.24  | | | | | | | | | 
% 171.35/26.24  | | | | | | | | |   (130)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 171.35/26.24  | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | BETA: splitting (44) gives:
% 171.35/26.24  | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | Case 1:
% 171.35/26.24  | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | |   (131)  all_56_0 = e1
% 171.35/26.24  | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | COMBINE_EQS: (31), (131) imply:
% 171.35/26.24  | | | | | | | | | |   (132)  all_6_2 = e1
% 171.35/26.24  | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | COMBINE_EQS: (9), (132) imply:
% 171.35/26.24  | | | | | | | | | |   (133)  all_8_2 = e1
% 171.35/26.24  | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | REDUCE: (13), (132) imply:
% 171.35/26.24  | | | | | | | | | |   (134)  op(e1, e3) = all_6_1
% 171.35/26.24  | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | REF_CLOSE: (3), (21), (24), (27), (34), (37), (40), (43),
% 171.35/26.24  | | | | | | | | | |            (48), (52), (61), (68), (69), (74), (77), (80),
% 171.35/26.24  | | | | | | | | | |            (81), (83), (86), (88), (89), (90), (92), (97),
% 171.35/26.24  | | | | | | | | | |            (110), (111), (122), (126), (130), (131), (133),
% 171.35/26.24  | | | | | | | | | |            (134) are inconsistent by sub-proof #219.
% 171.35/26.24  | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | Case 2:
% 171.35/26.24  | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | |   (135)   ~ (all_56_0 = e1)
% 171.35/26.24  | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | REDUCE: (31), (135) imply:
% 171.35/26.24  | | | | | | | | | |   (136)   ~ (all_6_2 = e1)
% 171.35/26.24  | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | BETA: splitting (56) gives:
% 171.35/26.24  | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | Case 1:
% 171.35/26.24  | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | |   (137)  all_56_1 = e3
% 171.35/26.24  | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | COMBINE_EQS: (2), (137) imply:
% 171.35/26.24  | | | | | | | | | | |   (138)  all_52_4 = e3
% 171.35/26.24  | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | REDUCE: (74), (138) imply:
% 171.35/26.24  | | | | | | | | | | |   (139)   ~ (all_52_12 = e3)
% 171.35/26.24  | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | SIMP: (139) implies:
% 171.35/26.24  | | | | | | | | | | |   (140)   ~ (all_52_12 = e3)
% 171.35/26.24  | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | REDUCE: (51), (138) imply:
% 171.35/26.24  | | | | | | | | | | |   (141)   ~ (all_6_2 = e3)
% 171.35/26.24  | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | SIMP: (141) implies:
% 171.35/26.24  | | | | | | | | | | |   (142)   ~ (all_6_2 = e3)
% 171.35/26.24  | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | BETA: splitting (116) gives:
% 171.35/26.24  | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | Case 1:
% 171.35/26.24  | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | |   (143)  all_54_0 = e1
% 171.35/26.24  | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | REF_CLOSE: (76), (136), (143) are inconsistent by sub-proof
% 171.35/26.24  | | | | | | | | | | | |            #951.
% 171.35/26.24  | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | Case 2:
% 171.35/26.24  | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | |   (144)  all_54_0 = e3 | all_54_0 = e2
% 171.35/26.24  | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | BETA: splitting (130) gives:
% 171.35/26.24  | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | Case 1:
% 171.35/26.24  | | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | |   (145)  all_58_30 = e1
% 171.35/26.24  | | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | | COMBINE_EQS: (34), (145) imply:
% 171.35/26.24  | | | | | | | | | | | | |   (146)  all_52_14 = e1
% 171.35/26.24  | | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | | REDUCE: (72), (146) imply:
% 171.35/26.24  | | | | | | | | | | | | |   (147)   ~ (all_52_12 = e1)
% 171.35/26.24  | | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | | BETA: splitting (144) gives:
% 171.35/26.24  | | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | | Case 1:
% 171.35/26.24  | | | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | | |   (148)  all_54_0 = e2
% 171.35/26.24  | | | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | | | COMBINE_EQS: (76), (148) imply:
% 171.35/26.24  | | | | | | | | | | | | | |   (149)  all_6_2 = e2
% 171.35/26.24  | | | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | | | SIMP: (149) implies:
% 171.35/26.24  | | | | | | | | | | | | | |   (150)  all_6_2 = e2
% 171.35/26.24  | | | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | | | REDUCE: (14), (150) imply:
% 171.35/26.24  | | | | | | | | | | | | | |   (151)   ~ (all_52_12 = e2)
% 171.35/26.24  | | | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | | | REF_CLOSE: (11), (118), (140), (147), (151) are inconsistent
% 171.35/26.24  | | | | | | | | | | | | | |            by sub-proof #890.
% 171.35/26.24  | | | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | | Case 2:
% 171.35/26.24  | | | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | | |   (152)  all_54_0 = e3
% 171.35/26.24  | | | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | | | REF_CLOSE: (76), (142), (152) are inconsistent by sub-proof
% 171.35/26.24  | | | | | | | | | | | | | |            #945.
% 171.35/26.24  | | | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | | End of split
% 171.35/26.24  | | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | Case 2:
% 171.35/26.24  | | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | |   (153)  all_58_28 = e3 | all_58_29 = e2
% 171.35/26.24  | | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | | REF_CLOSE: (5), (17), (19), (24), (26), (53), (54), (62),
% 171.35/26.24  | | | | | | | | | | | | |            (80), (81), (89), (97), (122), (140), (153) are
% 171.35/26.24  | | | | | | | | | | | | |            inconsistent by sub-proof #376.
% 171.35/26.24  | | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | End of split
% 171.35/26.24  | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | End of split
% 171.35/26.24  | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | Case 2:
% 171.35/26.24  | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | |   (154)   ~ (all_56_1 = e3)
% 171.35/26.24  | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | REDUCE: (2), (154) imply:
% 171.35/26.24  | | | | | | | | | | |   (155)   ~ (all_52_4 = e3)
% 171.35/26.24  | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | BETA: splitting (126) gives:
% 171.35/26.24  | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | Case 1:
% 171.35/26.24  | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | |   (156)  all_58_22 = e1
% 171.35/26.24  | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | REF_CLOSE: (37), (90), (156) are inconsistent by sub-proof
% 171.35/26.24  | | | | | | | | | | | |            #923.
% 171.35/26.24  | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | Case 2:
% 171.35/26.24  | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | |   (157)  all_58_20 = e3 | all_58_21 = e2
% 171.35/26.24  | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | BETA: splitting (157) gives:
% 171.35/26.24  | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | Case 1:
% 171.35/26.24  | | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | |   (158)  all_58_21 = e2
% 171.35/26.24  | | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | | COMBINE_EQS: (83), (158) imply:
% 171.35/26.24  | | | | | | | | | | | | |   (159)  all_4_2 = e2
% 171.35/26.24  | | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | | REDUCE: (18), (159) imply:
% 171.35/26.24  | | | | | | | | | | | | |   (160)   ~ (all_52_9 = e2)
% 171.35/26.24  | | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | | REF_CLOSE: (5), (17), (19), (24), (53), (62), (80), (81),
% 171.35/26.24  | | | | | | | | | | | | |            (97), (122), (160) are inconsistent by sub-proof
% 171.35/26.24  | | | | | | | | | | | | |            #377.
% 171.35/26.24  | | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | Case 2:
% 171.35/26.24  | | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | |   (161)  all_58_20 = e3
% 171.35/26.24  | | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | | COMBINE_EQS: (61), (161) imply:
% 171.35/26.24  | | | | | | | | | | | | |   (162)  all_52_4 = e3
% 171.35/26.24  | | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | | REDUCE: (155), (162) imply:
% 171.35/26.24  | | | | | | | | | | | | |   (163)  $false
% 171.35/26.24  | | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | | CLOSE: (163) is inconsistent.
% 171.35/26.24  | | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | | End of split
% 171.35/26.24  | | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | | End of split
% 171.35/26.24  | | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | | End of split
% 171.35/26.24  | | | | | | | | | | 
% 171.35/26.24  | | | | | | | | | End of split
% 171.35/26.24  | | | | | | | | | 
% 171.35/26.24  | | | | | | | | End of split
% 171.35/26.24  | | | | | | | | 
% 171.35/26.24  | | | | | | | End of split
% 171.35/26.24  | | | | | | | 
% 171.35/26.24  | | | | | | End of split
% 171.35/26.24  | | | | | | 
% 171.35/26.24  | | | | | End of split
% 171.35/26.24  | | | | | 
% 171.35/26.24  | | | | End of split
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | Case 2:
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | |   (164)  all_56_11 = e0
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | | REF_CLOSE: (30), (87), (164) are inconsistent by sub-proof #873.
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | End of split
% 171.35/26.24  | | | 
% 171.35/26.24  | | End of split
% 171.35/26.24  | | 
% 171.35/26.24  | Case 2:
% 171.35/26.24  | | 
% 171.35/26.24  | |   (165)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 171.35/26.24  | | 
% 171.35/26.24  | | BETA: splitting (67) gives:
% 171.35/26.24  | | 
% 171.35/26.24  | | Case 1:
% 171.35/26.24  | | | 
% 171.35/26.24  | | |   (166)  all_56_0 = e0
% 171.35/26.24  | | | 
% 171.35/26.24  | | | COMBINE_EQS: (31), (166) imply:
% 171.35/26.24  | | |   (167)  all_6_2 = e0
% 171.35/26.24  | | | 
% 171.35/26.24  | | | REDUCE: (57), (167) imply:
% 171.35/26.24  | | |   (168)  $false
% 171.35/26.24  | | | 
% 171.35/26.24  | | | CLOSE: (168) is inconsistent.
% 171.35/26.24  | | | 
% 171.35/26.24  | | Case 2:
% 171.35/26.24  | | | 
% 171.35/26.24  | | |   (169)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.35/26.24  | | | 
% 171.35/26.24  | | | BETA: splitting (169) gives:
% 171.35/26.24  | | | 
% 171.35/26.24  | | | Case 1:
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | |   (170)  all_56_1 = e0
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | | COMBINE_EQS: (2), (170) imply:
% 171.35/26.24  | | | |   (171)  all_52_4 = e0
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | | REDUCE: (27), (171) imply:
% 171.35/26.24  | | | |   (172)  $false
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | | CLOSE: (172) is inconsistent.
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | Case 2:
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | |   (173)  all_56_4 = e0 | all_56_9 = e0
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | | BETA: splitting (165) gives:
% 171.35/26.24  | | | | 
% 171.35/26.24  | | | | Case 1:
% 171.35/26.24  | | | | | 
% 171.35/26.24  | | | | |   (174)  all_56_5 = e0
% 171.35/26.24  | | | | | 
% 171.35/26.24  | | | | | COMBINE_EQS: (12), (174) imply:
% 171.35/26.24  | | | | |   (175)  all_52_9 = e0
% 171.35/26.24  | | | | | 
% 171.35/26.24  | | | | | COMBINE_EQS: (80), (175) imply:
% 171.35/26.24  | | | | |   (176)  all_58_25 = e0
% 171.35/26.24  | | | | | 
% 171.35/26.24  | | | | | REDUCE: (69), (175) imply:
% 171.35/26.24  | | | | |   (177)   ~ (all_52_1 = e0)
% 171.35/26.24  | | | | | 
% 171.35/26.24  | | | | | REDUCE: (50), (175) imply:
% 171.35/26.24  | | | | |   (178)   ~ (all_52_8 = e0)
% 171.35/26.24  | | | | | 
% 171.35/26.24  | | | | | REDUCE: (73), (175) imply:
% 171.35/26.24  | | | | |   (179)   ~ (all_52_11 = e0)
% 171.35/26.24  | | | | | 
% 171.35/26.24  | | | | | REDUCE: (32), (175) imply:
% 171.35/26.24  | | | | |   (180)   ~ (all_10_2 = e0)
% 171.35/26.24  | | | | | 
% 171.35/26.24  | | | | | BETA: splitting (173) gives:
% 171.35/26.24  | | | | | 
% 171.35/26.25  | | | | | Case 1:
% 171.35/26.25  | | | | | | 
% 171.35/26.25  | | | | | |   (181)  all_56_4 = e0
% 171.35/26.25  | | | | | | 
% 171.35/26.25  | | | | | | COMBINE_EQS: (59), (181) imply:
% 171.35/26.25  | | | | | |   (182)  all_52_8 = e0
% 171.35/26.25  | | | | | | 
% 171.35/26.25  | | | | | | REDUCE: (178), (182) imply:
% 171.35/26.25  | | | | | |   (183)  $false
% 171.35/26.25  | | | | | | 
% 171.35/26.25  | | | | | | CLOSE: (183) is inconsistent.
% 171.35/26.25  | | | | | | 
% 171.35/26.25  | | | | | Case 2:
% 171.35/26.25  | | | | | | 
% 171.35/26.25  | | | | | |   (184)  all_56_9 = e0
% 171.35/26.25  | | | | | | 
% 171.35/26.25  | | | | | | COMBINE_EQS: (36), (184) imply:
% 171.35/26.25  | | | | | |   (185)  all_52_12 = e0
% 171.35/26.25  | | | | | | 
% 171.35/26.25  | | | | | | COMBINE_EQS: (89), (185) imply:
% 171.35/26.25  | | | | | |   (186)  all_58_28 = e0
% 171.35/26.25  | | | | | | 
% 171.35/26.25  | | | | | | REDUCE: (1), (185) imply:
% 171.35/26.25  | | | | | |   (187)   ~ (all_14_2 = e0)
% 171.35/26.25  | | | | | | 
% 171.35/26.25  | | | | | | SIMP: (187) implies:
% 171.35/26.25  | | | | | |   (188)   ~ (all_14_2 = e0)
% 171.35/26.25  | | | | | | 
% 171.35/26.25  | | | | | | REDUCE: (14), (185) imply:
% 171.35/26.25  | | | | | |   (189)   ~ (all_6_2 = e0)
% 171.35/26.25  | | | | | | 
% 171.35/26.25  | | | | | | BETA: splitting (66) gives:
% 171.35/26.25  | | | | | | 
% 171.35/26.25  | | | | | | Case 1:
% 171.35/26.25  | | | | | | | 
% 171.35/26.25  | | | | | | |   (190)  all_54_4 = e0
% 171.35/26.25  | | | | | | | 
% 171.35/26.25  | | | | | | | REF_CLOSE: (91), (177), (190) are inconsistent by sub-proof #902.
% 171.35/26.25  | | | | | | | 
% 171.35/26.25  | | | | | | Case 2:
% 171.35/26.25  | | | | | | | 
% 171.35/26.25  | | | | | | |   (191)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 171.35/26.25  | | | | | | | 
% 171.35/26.25  | | | | | | | BETA: splitting (45) gives:
% 171.35/26.25  | | | | | | | 
% 171.35/26.25  | | | | | | | Case 1:
% 171.35/26.25  | | | | | | | | 
% 171.35/26.25  | | | | | | | |   (192)  all_54_1 = e0
% 171.35/26.25  | | | | | | | | 
% 171.35/26.25  | | | | | | | | REF_CLOSE: (15), (27), (192) are inconsistent by sub-proof #866.
% 171.35/26.25  | | | | | | | | 
% 171.35/26.25  | | | | | | | Case 2:
% 171.35/26.25  | | | | | | | | 
% 171.35/26.25  | | | | | | | |   (193)   ~ (all_54_1 = e0)
% 171.35/26.25  | | | | | | | |   (194)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 171.35/26.25  | | | | | | | | 
% 171.35/26.25  | | | | | | | | BETA: splitting (63) gives:
% 171.35/26.25  | | | | | | | | 
% 171.35/26.25  | | | | | | | | Case 1:
% 171.35/26.25  | | | | | | | | | 
% 171.35/26.25  | | | | | | | | |   (195)  all_58_23 = e0
% 171.35/26.25  | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | COMBINE_EQS: (7), (195) imply:
% 171.35/26.25  | | | | | | | | |   (196)  all_52_7 = e0
% 171.35/26.25  | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | REDUCE: (70), (196) imply:
% 171.35/26.25  | | | | | | | | |   (197)  $false
% 171.35/26.25  | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | CLOSE: (197) is inconsistent.
% 171.35/26.25  | | | | | | | | | 
% 171.35/26.25  | | | | | | | | Case 2:
% 171.35/26.25  | | | | | | | | | 
% 171.35/26.25  | | | | | | | | |   (198)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 171.35/26.25  | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | BETA: splitting (33) gives:
% 171.35/26.25  | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | Case 1:
% 171.35/26.25  | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | |   (199)  all_58_27 = e0
% 171.35/26.25  | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | COMBINE_EQS: (35), (199) imply:
% 171.35/26.25  | | | | | | | | | |   (200)  all_52_11 = e0
% 171.35/26.25  | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | REDUCE: (78), (200) imply:
% 171.35/26.25  | | | | | | | | | |   (201)  $false
% 171.35/26.25  | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | CLOSE: (201) is inconsistent.
% 171.35/26.25  | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | Case 2:
% 171.35/26.25  | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | |   (202)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 171.35/26.25  | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | BETA: splitting (23) gives:
% 171.35/26.25  | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | Case 1:
% 171.35/26.25  | | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | |   (203)  all_58_31 = e0
% 171.35/26.25  | | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | | COMBINE_EQS: (25), (203) imply:
% 171.35/26.25  | | | | | | | | | | |   (204)  all_14_2 = e0
% 171.35/26.25  | | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | | REDUCE: (188), (204) imply:
% 171.35/26.25  | | | | | | | | | | |   (205)  $false
% 171.35/26.25  | | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | | CLOSE: (205) is inconsistent.
% 171.35/26.25  | | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | Case 2:
% 171.35/26.25  | | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | |   (206)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 171.35/26.25  | | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | | BETA: splitting (29) gives:
% 171.35/26.25  | | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | | Case 1:
% 171.35/26.25  | | | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | | |   (207)  all_56_4 = e2
% 171.35/26.25  | | | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | | | COMBINE_EQS: (59), (207) imply:
% 171.35/26.25  | | | | | | | | | | | |   (208)  all_52_8 = e2
% 171.35/26.25  | | | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | | | COMBINE_EQS: (71), (208) imply:
% 171.35/26.25  | | | | | | | | | | | |   (209)  all_58_24 = e2
% 171.35/26.25  | | | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | | | BETA: splitting (202) gives:
% 171.35/26.25  | | | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | | | Case 1:
% 171.35/26.25  | | | | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | | | |   (210)  all_58_26 = e1
% 171.35/26.25  | | | | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | | | | COMBINE_EQS: (24), (210) imply:
% 171.35/26.25  | | | | | | | | | | | | |   (211)  all_10_2 = e1
% 171.35/26.25  | | | | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | | | | SIMP: (211) implies:
% 171.35/26.25  | | | | | | | | | | | | |   (212)  all_10_2 = e1
% 171.35/26.25  | | | | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | | | | REF_CLOSE: (5), (17), (19), (62), (81), (212) are
% 171.35/26.25  | | | | | | | | | | | | |            inconsistent by sub-proof #378.
% 171.35/26.25  | | | | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | | | Case 2:
% 171.35/26.25  | | | | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | | | |   (213)  all_58_24 = e3 | all_58_25 = e2
% 171.35/26.25  | | | | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | | | | REF_CLOSE: (39), (86), (176), (209), (213) are inconsistent
% 171.35/26.25  | | | | | | | | | | | | |            by sub-proof #947.
% 171.35/26.25  | | | | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | | | End of split
% 171.35/26.25  | | | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | | Case 2:
% 171.35/26.25  | | | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | | |   (214)   ~ (all_56_4 = e2)
% 171.35/26.25  | | | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | | | REDUCE: (59), (214) imply:
% 171.35/26.25  | | | | | | | | | | | |   (215)   ~ (all_52_8 = e2)
% 171.35/26.25  | | | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | | | REF_CLOSE: (2), (8), (10), (13), (15), (21), (24), (27),
% 171.35/26.25  | | | | | | | | | | | |            (28), (31), (34), (37), (38), (39), (40), (41),
% 171.35/26.25  | | | | | | | | | | | |            (44), (46), (47), (48), (51), (52), (54), (55),
% 171.35/26.25  | | | | | | | | | | | |            (57), (59), (61), (68), (71), (75), (79), (81),
% 171.35/26.25  | | | | | | | | | | | |            (83), (84), (85), (86), (90), (91), (93), (174),
% 171.35/26.25  | | | | | | | | | | | |            (176), (178), (184), (186), (191), (194), (198),
% 171.35/26.25  | | | | | | | | | | | |            (202), (206), (215) are inconsistent by sub-proof
% 171.35/26.25  | | | | | | | | | | | |            #210.
% 171.35/26.25  | | | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | | End of split
% 171.35/26.25  | | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | | End of split
% 171.35/26.25  | | | | | | | | | | 
% 171.35/26.25  | | | | | | | | | End of split
% 171.35/26.25  | | | | | | | | | 
% 171.35/26.25  | | | | | | | | End of split
% 171.35/26.25  | | | | | | | | 
% 171.35/26.25  | | | | | | | End of split
% 171.35/26.25  | | | | | | | 
% 171.35/26.25  | | | | | | End of split
% 171.35/26.25  | | | | | | 
% 171.35/26.25  | | | | | End of split
% 171.35/26.25  | | | | | 
% 171.35/26.25  | | | | Case 2:
% 171.35/26.25  | | | | | 
% 171.35/26.25  | | | | |   (216)  all_56_8 = e0 | all_56_14 = e0
% 171.35/26.25  | | | | | 
% 171.35/26.25  | | | | | REF_CLOSE: (5), (20), (22), (78), (216) are inconsistent by sub-proof
% 171.35/26.25  | | | | |            #914.
% 171.35/26.25  | | | | | 
% 171.35/26.25  | | | | End of split
% 171.35/26.25  | | | | 
% 171.35/26.25  | | | End of split
% 171.35/26.25  | | | 
% 171.35/26.25  | | End of split
% 171.35/26.25  | | 
% 171.35/26.25  | End of split
% 171.35/26.25  | 
% 171.35/26.25  End of proof
% 171.35/26.25  
% 171.35/26.25  Sub-proof #158 shows that the following formulas are inconsistent:
% 171.35/26.25  ----------------------------------------------------------------
% 171.35/26.25    (1)   ~ (all_52_12 = all_14_2)
% 171.35/26.25    (2)  all_54_8 = all_52_2
% 171.35/26.25    (3)  all_56_1 = all_52_4
% 171.35/26.25    (4)  all_56_12 = all_52_3
% 171.35/26.25    (5)  op(e1, e3) = all_52_2
% 171.35/26.25    (6)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.35/26.25    (7)   ~ (all_10_2 = e0)
% 171.35/26.25    (8)   ~ (all_52_8 = all_52_12)
% 171.35/26.25    (9)  all_58_23 = all_52_7
% 171.35/26.25    (10)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 171.35/26.25    (11)   ~ (all_52_2 = all_6_2)
% 171.35/26.25    (12)  all_8_2 = all_6_2
% 171.35/26.25    (13)   ~ (all_52_4 = all_4_2)
% 171.35/26.25    (14)  all_56_5 = all_52_9
% 171.35/26.25    (15)   ~ (all_52_3 = all_52_11)
% 171.35/26.25    (16)  op(all_6_2, e3) = all_6_1
% 171.35/26.25    (17)   ~ (all_52_12 = all_6_2)
% 171.35/26.25    (18)   ~ (all_52_6 = all_4_2)
% 171.35/26.25    (19)  all_56_15 = all_14_2
% 171.35/26.25    (20)  all_54_1 = all_52_4
% 171.35/26.25    (21)   ~ (all_52_9 = all_4_2)
% 171.35/26.25    (22)   ~ (all_52_3 = all_52_7)
% 171.35/26.25    (23)  all_56_14 = all_52_11
% 171.71/26.25    (24)   ~ (all_52_13 = all_4_2)
% 171.71/26.25    (25)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.71/26.25    (26)  all_56_8 = all_10_2
% 171.71/26.25    (27)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.71/26.25    (28)  all_58_26 = all_10_2
% 171.71/26.25    (29)   ~ (all_52_4 = all_52_6)
% 171.71/26.25    (30)  all_58_31 = all_14_2
% 171.71/26.25    (31)   ~ (all_52_11 = all_10_2)
% 171.71/26.25    (32)   ~ (all_52_3 = all_6_2)
% 171.71/26.25    (33)   ~ (all_52_1 = all_6_2)
% 171.71/26.25    (34)  all_56_11 = all_52_14
% 171.71/26.25    (35)   ~ (all_52_6 = all_52_7)
% 171.71/26.25    (36)   ~ (all_4_1 = e0)
% 171.71/26.25    (37)  all_56_0 = all_6_2
% 171.71/26.25    (38)   ~ (all_52_9 = all_10_2)
% 171.71/26.25    (39)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.71/26.25    (40)  all_58_30 = all_52_14
% 171.71/26.25    (41)  all_58_27 = all_52_11
% 171.71/26.25    (42)  all_54_14 = all_52_11
% 171.71/26.25    (43)  op(e3, e2) = all_52_4
% 171.71/26.25    (44)  op(all_4_2, e2) = all_4_1
% 171.71/26.25    (45)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 171.71/26.25    (46)  all_56_9 = all_52_12
% 171.71/26.25    (47)   ~ (all_52_2 = all_52_6)
% 171.71/26.25    (48)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 171.71/26.25    (49)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 171.71/26.25    (50)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 171.71/26.25    (51)   ~ (e3 = e2)
% 171.71/26.25    (52)   ~ (all_52_4 = all_52_7)
% 171.71/26.25    (53)   ~ (e2 = e1)
% 171.71/26.25    (54)   ~ (all_52_6 = all_10_2)
% 171.71/26.25    (55)   ~ (all_52_2 = e0)
% 171.71/26.25    (56)   ~ (all_52_7 = all_14_2)
% 171.71/26.25    (57)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 171.71/26.25    (58)   ~ (all_52_13 = all_14_2)
% 171.71/26.25    (59)   ~ (all_52_1 = all_4_2)
% 171.71/26.25    (60)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.71/26.25    (61)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.71/26.25    (62)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 171.71/26.25    (63)   ~ (all_52_13 = all_52_14)
% 171.71/26.25    (64)  op(e2, e3) = all_52_1
% 171.71/26.25    (65)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.71/26.25    (66)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 171.71/26.25    (67)  all_56_13 = all_52_7
% 171.71/26.25    (68)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 171.71/26.25    (69)   ~ (all_52_8 = all_52_9)
% 171.71/26.25    (70)   ~ (all_52_4 = all_6_2)
% 171.71/26.25    (71)  all_56_2 = all_52_1
% 171.71/26.25    (72)   ~ (e3 = e0)
% 171.71/26.25    (73)  all_58_29 = all_52_13
% 171.71/26.25    (74)   ~ (all_52_1 = all_52_2)
% 171.71/26.25    (75)   ~ (all_4_2 = e0)
% 171.71/26.25    (76)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 171.71/26.25    (77)   ~ (all_52_6 = all_52_14)
% 171.71/26.25    (78)   ~ (all_52_7 = all_4_2)
% 171.71/26.25    (79)  all_56_4 = all_52_8
% 171.71/26.25    (80)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.71/26.25    (81)   ~ (all_52_1 = all_52_13)
% 171.71/26.25    (82)  all_58_20 = all_52_4
% 171.71/26.25    (83)  all_54_13 = all_52_7
% 171.71/26.25    (84)   ~ (all_52_7 = all_52_11)
% 171.71/26.25    (85)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 171.71/26.25    (86)   ~ (all_52_8 = all_52_11)
% 171.71/26.25    (87)   ~ (all_52_8 = all_6_2)
% 171.71/26.25    (88)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 171.71/26.25    (89)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.71/26.25    (90)  all_56_6 = all_52_2
% 171.71/26.25    (91)   ~ (all_52_1 = all_52_9)
% 171.71/26.25    (92)  all_58_24 = all_52_8
% 171.71/26.25    (93)   ~ (all_52_12 = all_52_14)
% 171.71/26.25    (94)   ~ (all_52_9 = all_52_11)
% 171.71/26.25    (95)  all_58_22 = all_52_6
% 171.71/26.25    (96)   ~ (all_52_4 = all_52_12)
% 171.71/26.25    (97)  all_56_3 = all_4_2
% 171.71/26.25    (98)  all_54_0 = all_6_2
% 171.71/26.25    (99)   ~ (all_52_14 = all_10_2)
% 171.71/26.25    (100)   ~ (all_52_1 = e0)
% 171.71/26.25    (101)   ~ (all_52_4 = all_52_8)
% 171.71/26.25    (102)   ~ (all_52_14 = all_14_2)
% 171.71/26.25    (103)  all_58_25 = all_52_9
% 171.71/26.25    (104)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.25             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.25    (105)   ~ (all_52_2 = all_52_14)
% 171.71/26.25    (106)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.71/26.25    (107)  all_58_21 = all_4_2
% 171.71/26.25    (108)  all_56_10 = all_52_13
% 171.71/26.25    (109)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.71/26.25    (110)   ~ (e2 = e0)
% 171.71/26.25    (111)   ~ (all_52_1 = all_52_3)
% 171.71/26.25    (112)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 171.71/26.25    (113)  all_8_1 = all_6_1
% 171.71/26.25    (114)  all_58_28 = all_52_12
% 171.71/26.25    (115)   ~ (e1 = e0)
% 171.71/26.25    (116)  all_54_4 = all_52_1
% 171.71/26.25    (117)  all_56_7 = all_52_6
% 171.71/26.25    (118)  all_54_5 = all_4_2
% 171.71/26.25    (119)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 171.71/26.25    (120)   ~ (all_52_2 = all_10_2)
% 171.71/26.25    (121)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 171.71/26.25    (122)   ~ (all_52_12 = all_52_13)
% 171.71/26.25  
% 171.71/26.25  Begin of proof
% 171.71/26.25  | 
% 171.71/26.25  | BETA: splitting (10) gives:
% 171.71/26.25  | 
% 171.71/26.25  | Case 1:
% 171.71/26.25  | | 
% 171.71/26.25  | |   (123)  all_56_2 = e0
% 171.71/26.25  | | 
% 171.71/26.25  | | COMBINE_EQS: (71), (123) imply:
% 171.71/26.25  | |   (124)  all_52_1 = e0
% 171.71/26.25  | | 
% 171.71/26.25  | | REDUCE: (100), (124) imply:
% 171.71/26.25  | |   (125)  $false
% 171.71/26.25  | | 
% 171.71/26.25  | | CLOSE: (125) is inconsistent.
% 171.71/26.25  | | 
% 171.71/26.25  | Case 2:
% 171.71/26.25  | | 
% 171.71/26.25  | |   (126)  all_56_6 = e0 | all_56_12 = e0
% 171.71/26.25  | | 
% 171.71/26.25  | | BETA: splitting (126) gives:
% 171.71/26.25  | | 
% 171.71/26.25  | | Case 1:
% 171.71/26.25  | | | 
% 171.71/26.25  | | |   (127)  all_56_6 = e0
% 171.71/26.25  | | | 
% 171.71/26.25  | | | COMBINE_EQS: (90), (127) imply:
% 171.71/26.25  | | |   (128)  all_52_2 = e0
% 171.71/26.25  | | | 
% 171.71/26.25  | | | REDUCE: (55), (128) imply:
% 171.71/26.25  | | |   (129)  $false
% 171.71/26.25  | | | 
% 171.71/26.25  | | | CLOSE: (129) is inconsistent.
% 171.71/26.25  | | | 
% 171.71/26.25  | | Case 2:
% 171.71/26.25  | | | 
% 171.71/26.25  | | |   (130)  all_56_12 = e0
% 171.71/26.25  | | | 
% 171.71/26.25  | | | COMBINE_EQS: (4), (130) imply:
% 171.71/26.25  | | |   (131)  all_52_3 = e0
% 171.71/26.25  | | | 
% 171.71/26.25  | | | SIMP: (131) implies:
% 171.71/26.25  | | |   (132)  all_52_3 = e0
% 171.71/26.25  | | | 
% 171.71/26.25  | | | REDUCE: (22), (132) imply:
% 171.71/26.25  | | |   (133)   ~ (all_52_7 = e0)
% 171.71/26.25  | | | 
% 171.71/26.25  | | | SIMP: (133) implies:
% 171.71/26.25  | | |   (134)   ~ (all_52_7 = e0)
% 171.71/26.25  | | | 
% 171.71/26.25  | | | REDUCE: (15), (132) imply:
% 171.71/26.25  | | |   (135)   ~ (all_52_11 = e0)
% 171.71/26.25  | | | 
% 171.71/26.25  | | | SIMP: (135) implies:
% 171.71/26.25  | | |   (136)   ~ (all_52_11 = e0)
% 171.71/26.25  | | | 
% 171.71/26.25  | | | REDUCE: (32), (132) imply:
% 171.71/26.25  | | |   (137)   ~ (all_6_2 = e0)
% 171.71/26.25  | | | 
% 171.71/26.25  | | | SIMP: (137) implies:
% 171.71/26.25  | | |   (138)   ~ (all_6_2 = e0)
% 171.71/26.25  | | | 
% 171.71/26.25  | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (11), (12), (13), (14),
% 171.71/26.25  | | |            (16), (17), (18), (19), (20), (21), (23), (24), (25), (26),
% 171.71/26.25  | | |            (27), (28), (29), (30), (31), (33), (34), (35), (36), (37),
% 171.71/26.25  | | |            (38), (39), (40), (41), (42), (43), (44), (45), (46), (47),
% 171.71/26.25  | | |            (48), (49), (50), (51), (52), (53), (54), (56), (57), (58),
% 171.71/26.25  | | |            (59), (60), (61), (62), (63), (64), (65), (66), (67), (68),
% 171.71/26.25  | | |            (69), (70), (71), (72), (73), (74), (75), (76), (77), (78),
% 171.71/26.25  | | |            (79), (80), (81), (82), (83), (84), (85), (86), (87), (88),
% 171.71/26.25  | | |            (89), (90), (91), (92), (93), (94), (95), (96), (97), (98),
% 171.71/26.25  | | |            (99), (100), (101), (102), (103), (104), (105), (106), (107),
% 171.71/26.25  | | |            (108), (109), (110), (112), (113), (114), (115), (116), (117),
% 171.71/26.25  | | |            (118), (119), (120), (121), (122), (130), (134), (136), (138)
% 171.71/26.25  | | |            are inconsistent by sub-proof #206.
% 171.71/26.25  | | | 
% 171.71/26.25  | | End of split
% 171.71/26.25  | | 
% 171.71/26.25  | End of split
% 171.71/26.25  | 
% 171.71/26.25  End of proof
% 171.71/26.25  
% 171.71/26.25  Sub-proof #159 shows that the following formulas are inconsistent:
% 171.71/26.25  ----------------------------------------------------------------
% 171.71/26.25    (1)  all_56_1 = all_52_4
% 171.71/26.25    (2)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 171.71/26.25    (3)  all_56_12 = all_52_3
% 171.71/26.25    (4)  op(e3, all_52_12) = all_58_3
% 171.71/26.25    (5)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.71/26.25    (6)   ~ (all_52_8 = all_52_12)
% 171.71/26.25    (7)   ~ (e3 = e1)
% 171.71/26.25    (8)  all_58_23 = all_52_7
% 171.71/26.25    (9)   ~ (all_52_2 = all_6_2)
% 171.71/26.25    (10)   ~ (all_52_4 = all_4_2)
% 171.71/26.25    (11)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.71/26.25    (12)  all_56_5 = all_52_9
% 171.71/26.25    (13)   ~ (all_52_12 = all_6_2)
% 171.71/26.25    (14)   ~ (all_52_6 = all_4_2)
% 171.71/26.25    (15)  all_56_15 = all_14_2
% 171.71/26.25    (16)  all_54_1 = all_52_4
% 171.71/26.25    (17)  op(e1, all_10_2) = all_58_10
% 171.71/26.25    (18)   ~ (all_52_9 = all_4_2)
% 171.71/26.25    (19)   ~ (all_52_3 = all_52_7)
% 171.71/26.25    (20)  op(e1, e1) = all_10_2
% 171.71/26.25    (21)  all_54_6 = all_52_9
% 171.71/26.25    (22)  all_56_14 = all_52_11
% 171.71/26.25    (23)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 171.71/26.25    (24)   ~ (all_52_13 = all_4_2)
% 171.71/26.25    (25)  all_56_8 = all_10_2
% 171.71/26.25    (26)  op(e2, all_52_1) = all_58_4
% 171.71/26.25    (27)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.71/26.25    (28)  all_58_26 = all_10_2
% 171.71/26.25    (29)   ~ (all_52_4 = all_52_6)
% 171.71/26.25    (30)  all_58_31 = all_14_2
% 171.71/26.25    (31)   ~ (all_52_9 = all_52_13)
% 171.71/26.25    (32)   ~ (all_52_3 = all_6_2)
% 171.71/26.25    (33)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 171.71/26.25    (34)  all_58_18 = e0
% 171.71/26.25    (35)   ~ (all_52_1 = all_6_2)
% 171.71/26.25    (36)  all_56_11 = all_52_14
% 171.71/26.25    (37)  op(e2, e1) = all_52_9
% 171.71/26.25    (38)   ~ (all_52_6 = all_52_7)
% 171.71/26.25    (39)   ~ (all_4_1 = e0)
% 171.71/26.25    (40)  all_56_0 = all_6_2
% 171.71/26.25    (41)   ~ (all_52_9 = all_10_2)
% 171.71/26.25    (42)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.71/26.25    (43)  all_58_30 = all_52_14
% 171.71/26.25    (44)  all_58_27 = all_52_11
% 171.71/26.25    (45)  op(e3, e2) = all_52_4
% 171.71/26.25    (46)  op(all_4_2, e2) = all_4_1
% 171.71/26.25    (47)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 171.71/26.25    (48)  all_58_17 = all_52_1
% 171.71/26.25    (49)  all_58_19 = all_52_3
% 171.71/26.25    (50)  all_56_9 = all_52_12
% 171.71/26.25    (51)   ~ (all_52_2 = all_52_6)
% 171.71/26.25    (52)   ~ (e3 = e2)
% 171.71/26.25    (53)   ~ (all_52_4 = all_52_7)
% 171.71/26.25    (54)   ~ (e2 = e1)
% 171.71/26.25    (55)   ~ (all_52_6 = all_10_2)
% 171.71/26.25    (56)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 171.71/26.25    (57)   ~ (all_52_7 = all_14_2)
% 171.71/26.25    (58)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 171.71/26.25    (59)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 171.71/26.25    (60)   ~ (all_52_13 = all_14_2)
% 171.71/26.25    (61)   ~ (all_52_1 = all_4_2)
% 171.71/26.25    (62)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.71/26.25    (63)  all_54_9 = all_52_6
% 171.71/26.25    (64)   ~ (all_52_13 = all_52_14)
% 171.71/26.25    (65)  all_58_18 = all_52_2
% 171.71/26.25    (66)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 171.71/26.25    (67)  all_58_16 = all_6_2
% 171.71/26.25    (68)  all_56_13 = all_52_7
% 171.71/26.25    (69)   ~ (all_52_8 = all_52_9)
% 171.71/26.25    (70)   ~ (all_52_4 = all_6_2)
% 171.71/26.25    (71)  all_56_2 = all_52_1
% 171.71/26.25    (72)   ~ (e3 = e0)
% 171.71/26.25    (73)  all_58_29 = all_52_13
% 171.71/26.25    (74)   ~ (all_52_1 = all_52_2)
% 171.71/26.25    (75)   ~ (all_4_2 = e0)
% 171.71/26.25    (76)   ~ (all_6_2 = e0)
% 171.71/26.25    (77)   ~ (all_52_6 = all_52_14)
% 171.71/26.25    (78)   ~ (all_52_7 = all_4_2)
% 171.71/26.25    (79)   ~ (all_52_8 = all_10_2)
% 171.71/26.25    (80)  all_56_4 = all_52_8
% 171.71/26.25    (81)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.71/26.25    (82)   ~ (all_52_1 = all_52_13)
% 171.71/26.25    (83)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 171.71/26.25    (84)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 171.71/26.25    (85)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 171.71/26.25    (86)  all_58_20 = all_52_4
% 171.71/26.25    (87)  all_54_10 = all_10_2
% 171.71/26.25    (88)   ~ (all_52_7 = all_52_11)
% 171.71/26.25    (89)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 171.71/26.25    (90)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 171.71/26.25    (91)  op(all_10_2, e1) = e0
% 171.71/26.25    (92)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 171.71/26.25    (93)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 171.71/26.25    (94)   ~ (all_52_8 = all_6_2)
% 171.71/26.25    (95)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 171.71/26.25    (96)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.71/26.25    (97)  all_56_6 = all_52_2
% 171.71/26.25    (98)   ~ (all_52_1 = all_52_9)
% 171.71/26.25    (99)  all_56_6 = e0
% 171.71/26.25    (100)  all_58_24 = all_52_8
% 171.71/26.25    (101)   ~ (all_52_12 = all_52_14)
% 171.71/26.25    (102)  all_58_22 = all_52_6
% 171.71/26.25    (103)   ~ (all_52_4 = all_52_12)
% 171.71/26.25    (104)  all_56_3 = all_4_2
% 171.71/26.25    (105)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 171.71/26.25    (106)  all_54_0 = all_6_2
% 171.71/26.25    (107)   ~ (all_52_14 = all_10_2)
% 171.71/26.25    (108)   ~ (all_52_1 = e0)
% 171.71/26.25    (109)   ~ (all_52_2 = all_52_3)
% 171.71/26.25    (110)   ~ (all_52_4 = all_52_8)
% 171.71/26.25    (111)   ~ (all_52_14 = all_14_2)
% 171.71/26.25    (112)  all_58_25 = all_52_9
% 171.71/26.25    (113)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.71/26.25    (114)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.25             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.25    (115)   ~ (all_52_6 = e0)
% 171.71/26.25    (116)  all_54_12 = all_52_3
% 171.71/26.25    (117)   ~ (all_52_2 = all_52_14)
% 171.71/26.25    (118)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 171.71/26.25    (119)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.71/26.25    (120)  all_58_21 = all_4_2
% 171.71/26.25    (121)  all_56_10 = all_52_13
% 171.71/26.25    (122)   ~ (all_52_3 = e0)
% 171.71/26.25    (123)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.71/26.25    (124)   ~ (e2 = e0)
% 171.71/26.25    (125)   ~ (all_52_1 = all_52_3)
% 171.71/26.25    (126)   ~ (all_52_14 = e0)
% 171.71/26.25    (127)  all_58_28 = all_52_12
% 171.71/26.25    (128)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 171.71/26.25    (129)   ~ (e1 = e0)
% 171.71/26.25    (130)  all_54_4 = all_52_1
% 171.71/26.25    (131)  all_56_7 = all_52_6
% 171.71/26.25    (132)   ~ (all_52_8 = e0)
% 171.71/26.25    (133)  all_54_5 = all_4_2
% 171.71/26.25    (134)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 171.71/26.25           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 171.71/26.25           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.71/26.25           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 171.71/26.25           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.71/26.25           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 171.71/26.25           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.71/26.25           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 171.71/26.25           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 171.71/26.25           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 171.71/26.25             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 171.71/26.25             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 171.71/26.25             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 171.71/26.25             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 171.71/26.25             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 171.71/26.25             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 171.71/26.25             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 171.71/26.25             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 171.71/26.25             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 171.71/26.25             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 171.71/26.25             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 171.71/26.25             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 171.71/26.25             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 171.71/26.25             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 171.71/26.25             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 171.71/26.25             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 171.71/26.25           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 171.71/26.25           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 171.71/26.25           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 171.71/26.25             all_58_30 = e0 & e1 = e0)
% 171.71/26.25    (135)  all_54_7 = all_52_13
% 171.71/26.25    (136)  all_56_0 = e3 | all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3
% 171.71/26.25    (137)   ~ (all_52_12 = all_52_13)
% 171.71/26.25  
% 171.71/26.25  Begin of proof
% 171.71/26.25  | 
% 171.71/26.25  | BETA: splitting (96) gives:
% 171.71/26.25  | 
% 171.71/26.25  | Case 1:
% 171.71/26.25  | | 
% 171.71/26.25  | |   (138)  all_56_0 = e0
% 171.71/26.25  | | 
% 171.71/26.25  | | COMBINE_EQS: (40), (138) imply:
% 171.71/26.25  | |   (139)  all_6_2 = e0
% 171.71/26.25  | | 
% 171.71/26.25  | | REDUCE: (76), (139) imply:
% 171.71/26.25  | |   (140)  $false
% 171.71/26.25  | | 
% 171.71/26.25  | | CLOSE: (140) is inconsistent.
% 171.71/26.25  | | 
% 171.71/26.25  | Case 2:
% 171.71/26.25  | | 
% 171.71/26.25  | |   (141)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.71/26.25  | | 
% 171.71/26.25  | | BETA: splitting (81) gives:
% 171.71/26.25  | | 
% 171.71/26.25  | | Case 1:
% 171.71/26.25  | | | 
% 171.71/26.26  | | |   (142)  all_56_2 = e0
% 171.71/26.26  | | | 
% 171.71/26.26  | | | COMBINE_EQS: (71), (142) imply:
% 171.71/26.26  | | |   (143)  all_52_1 = e0
% 171.71/26.26  | | | 
% 171.71/26.26  | | | REDUCE: (108), (143) imply:
% 171.71/26.26  | | |   (144)  $false
% 171.71/26.26  | | | 
% 171.71/26.26  | | | CLOSE: (144) is inconsistent.
% 171.71/26.26  | | | 
% 171.71/26.26  | | Case 2:
% 171.71/26.26  | | | 
% 171.71/26.26  | | |   (145)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.71/26.26  | | | 
% 171.71/26.26  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 171.71/26.26  | | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 171.71/26.26  | | |            (23), (24), (25), (26), (27), (28), (29), (30), (31), (32),
% 171.71/26.26  | | |            (33), (34), (35), (36), (37), (38), (39), (40), (41), (42),
% 171.71/26.26  | | |            (43), (44), (45), (46), (47), (48), (49), (50), (51), (52),
% 171.71/26.26  | | |            (53), (54), (55), (56), (57), (58), (59), (60), (61), (62),
% 171.71/26.26  | | |            (63), (64), (65), (66), (67), (68), (69), (70), (71), (72),
% 171.71/26.26  | | |            (73), (74), (75), (77), (78), (79), (80), (82), (83), (84),
% 171.71/26.26  | | |            (85), (86), (87), (88), (89), (90), (91), (92), (93), (94),
% 171.71/26.26  | | |            (95), (97), (98), (99), (100), (101), (102), (103), (104),
% 171.71/26.26  | | |            (105), (106), (107), (109), (110), (111), (112), (113), (114),
% 171.71/26.26  | | |            (115), (116), (117), (118), (119), (120), (121), (122), (123),
% 171.71/26.26  | | |            (124), (125), (126), (127), (128), (129), (130), (131), (132),
% 171.71/26.26  | | |            (133), (134), (135), (136), (137), (141), (145) are
% 171.71/26.26  | | |            inconsistent by sub-proof #361.
% 171.71/26.26  | | | 
% 171.71/26.26  | | End of split
% 171.71/26.26  | | 
% 171.71/26.26  | End of split
% 171.71/26.26  | 
% 171.71/26.26  End of proof
% 171.71/26.26  
% 171.71/26.26  Sub-proof #160 shows that the following formulas are inconsistent:
% 171.71/26.26  ----------------------------------------------------------------
% 171.71/26.26    (1)   ~ (e2 = e1)
% 171.71/26.26    (2)  all_58_30 = e1
% 171.71/26.26    (3)   ~ (e3 = e0)
% 171.71/26.26    (4)  all_58_21 = e1
% 171.71/26.26    (5)  all_58_20 = e3
% 171.71/26.26    (6)  all_58_20 = e3 | all_58_21 = e2
% 171.71/26.26    (7)  all_58_30 = e3
% 171.71/26.26    (8)  e1 = e0
% 171.71/26.26  
% 171.71/26.26  Begin of proof
% 171.71/26.26  | 
% 171.71/26.26  | COMBINE_EQS: (2), (7) imply:
% 171.71/26.26  |   (9)  e3 = e1
% 171.71/26.26  | 
% 171.71/26.26  | SIMP: (9) implies:
% 171.71/26.26  |   (10)  e3 = e1
% 171.71/26.26  | 
% 171.71/26.26  | COMBINE_EQS: (8), (10) imply:
% 171.71/26.26  |   (11)  e3 = e0
% 171.71/26.26  | 
% 171.71/26.26  | REF_CLOSE: (1), (3), (4), (5), (6), (11) are inconsistent by sub-proof #169.
% 171.71/26.26  | 
% 171.71/26.26  End of proof
% 171.71/26.26  
% 171.71/26.26  Sub-proof #161 shows that the following formulas are inconsistent:
% 171.71/26.26  ----------------------------------------------------------------
% 171.71/26.26    (1)  all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0
% 171.71/26.26    (2)   ~ (e2 = e1)
% 171.71/26.26    (3)   ~ (e3 = e0)
% 171.71/26.26    (4)  all_58_21 = e1
% 171.71/26.26    (5)  all_58_20 = e3
% 171.71/26.26    (6)  all_58_20 = e3 | all_58_21 = e2
% 171.71/26.26    (7)  all_58_30 = e3
% 171.71/26.26  
% 171.71/26.26  Begin of proof
% 171.71/26.26  | 
% 171.71/26.26  | ALPHA: (1) implies:
% 171.71/26.26  |   (8)  all_58_30 = e0
% 171.71/26.26  | 
% 171.71/26.26  | COMBINE_EQS: (7), (8) imply:
% 171.71/26.26  |   (9)  e3 = e0
% 171.71/26.26  | 
% 171.71/26.26  | SIMP: (9) implies:
% 171.71/26.26  |   (10)  e3 = e0
% 171.71/26.26  | 
% 171.71/26.26  | REF_CLOSE: (2), (3), (4), (5), (6), (10) are inconsistent by sub-proof #169.
% 171.71/26.26  | 
% 171.71/26.26  End of proof
% 171.71/26.26  
% 171.71/26.26  Sub-proof #162 shows that the following formulas are inconsistent:
% 171.71/26.26  ----------------------------------------------------------------
% 171.71/26.26    (1)  all_58_25 = e3
% 171.71/26.26    (2)  all_58_22 = e0
% 171.71/26.26    (3)   ~ (e2 = e1)
% 171.71/26.26    (4)   ~ (e3 = e0)
% 171.71/26.26    (5)  all_58_21 = e1
% 171.71/26.26    (6)  all_58_20 = e3
% 171.71/26.26    (7)  all_58_20 = e3 | all_58_21 = e2
% 171.71/26.26    (8)  all_58_30 = e3
% 171.71/26.26    (9)  (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 171.71/26.26         (all_58_22 = e1 & all_58_25 = e1 & e2 = e1)
% 171.71/26.26  
% 171.71/26.26  Begin of proof
% 171.71/26.26  | 
% 171.71/26.26  | BETA: splitting (9) gives:
% 171.71/26.26  | 
% 171.71/26.26  | Case 1:
% 171.71/26.26  | | 
% 171.71/26.26  | |   (10)  all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 & all_58_30 = e0
% 171.71/26.26  | | 
% 171.71/26.26  | | ALPHA: (10) implies:
% 171.71/26.26  | |   (11)  all_58_30 = e0
% 171.71/26.26  | |   (12)  all_58_25 = e1
% 171.71/26.26  | | 
% 171.71/26.26  | | COMBINE_EQS: (1), (12) imply:
% 171.71/26.26  | |   (13)  e3 = e1
% 171.71/26.26  | | 
% 171.71/26.26  | | SIMP: (13) implies:
% 171.71/26.26  | |   (14)  e3 = e1
% 171.71/26.26  | | 
% 171.71/26.26  | | COMBINE_EQS: (8), (11) imply:
% 171.71/26.26  | |   (15)  e3 = e0
% 171.71/26.26  | | 
% 171.71/26.26  | | SIMP: (15) implies:
% 171.71/26.26  | |   (16)  e3 = e0
% 171.71/26.26  | | 
% 171.71/26.26  | | COMBINE_EQS: (14), (16) imply:
% 171.71/26.26  | |   (17)  e1 = e0
% 171.71/26.26  | | 
% 171.71/26.26  | | REF_CLOSE: (3), (4), (5), (6), (7), (16) are inconsistent by sub-proof #169.
% 171.71/26.26  | | 
% 171.71/26.26  | Case 2:
% 171.71/26.26  | | 
% 171.71/26.26  | |   (18)  all_58_22 = e1 & all_58_25 = e1 & e2 = e1
% 171.71/26.26  | | 
% 171.71/26.26  | | ALPHA: (18) implies:
% 171.71/26.26  | |   (19)  all_58_25 = e1
% 171.71/26.26  | |   (20)  all_58_22 = e1
% 171.71/26.26  | | 
% 171.71/26.26  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (19), (20) are inconsistent by
% 171.71/26.26  | |            sub-proof #163.
% 171.71/26.26  | | 
% 171.71/26.26  | End of split
% 171.71/26.26  | 
% 171.71/26.26  End of proof
% 171.71/26.26  
% 171.71/26.26  Sub-proof #163 shows that the following formulas are inconsistent:
% 171.71/26.26  ----------------------------------------------------------------
% 171.71/26.26    (1)  all_58_25 = e1
% 171.71/26.26    (2)  all_58_25 = e3
% 171.71/26.26    (3)  all_58_22 = e0
% 171.71/26.26    (4)   ~ (e2 = e1)
% 171.71/26.26    (5)  all_58_22 = e1
% 171.71/26.26    (6)   ~ (e3 = e0)
% 171.71/26.26    (7)  all_58_21 = e1
% 171.71/26.26    (8)  all_58_20 = e3
% 171.71/26.26    (9)  all_58_20 = e3 | all_58_21 = e2
% 171.71/26.26  
% 171.71/26.26  Begin of proof
% 171.71/26.26  | 
% 171.71/26.26  | COMBINE_EQS: (3), (5) imply:
% 171.71/26.26  |   (10)  e1 = e0
% 171.71/26.26  | 
% 171.71/26.26  | COMBINE_EQS: (1), (2) imply:
% 171.71/26.26  |   (11)  e3 = e1
% 171.71/26.26  | 
% 171.71/26.26  | SIMP: (11) implies:
% 171.71/26.26  |   (12)  e3 = e1
% 171.71/26.26  | 
% 171.71/26.26  | COMBINE_EQS: (10), (12) imply:
% 171.71/26.26  |   (13)  e3 = e0
% 171.71/26.26  | 
% 171.71/26.26  | REF_CLOSE: (4), (6), (7), (8), (9), (13) are inconsistent by sub-proof #169.
% 171.71/26.26  | 
% 171.71/26.26  End of proof
% 171.71/26.26  
% 171.71/26.26  Sub-proof #164 shows that the following formulas are inconsistent:
% 171.71/26.26  ----------------------------------------------------------------
% 171.71/26.26    (1)   ~ (e2 = e1)
% 171.71/26.26    (2)   ~ (e3 = e0)
% 171.71/26.26    (3)  all_58_21 = e1
% 171.71/26.26    (4)  all_58_20 = e3
% 171.71/26.26    (5)  all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 & all_58_30 = e0
% 171.71/26.26    (6)  all_58_20 = e3 | all_58_21 = e2
% 171.71/26.26    (7)  all_58_30 = e3
% 171.71/26.26  
% 171.71/26.26  Begin of proof
% 171.71/26.26  | 
% 171.71/26.26  | ALPHA: (5) implies:
% 171.71/26.26  |   (8)  all_58_30 = e0
% 171.71/26.26  | 
% 171.71/26.26  | COMBINE_EQS: (7), (8) imply:
% 171.71/26.26  |   (9)  e3 = e0
% 171.71/26.26  | 
% 171.71/26.26  | SIMP: (9) implies:
% 171.71/26.26  |   (10)  e3 = e0
% 171.71/26.26  | 
% 171.71/26.26  | REF_CLOSE: (1), (2), (3), (4), (6), (10) are inconsistent by sub-proof #169.
% 171.71/26.26  | 
% 171.71/26.26  End of proof
% 171.71/26.26  
% 171.71/26.26  Sub-proof #165 shows that the following formulas are inconsistent:
% 171.71/26.26  ----------------------------------------------------------------
% 171.71/26.26    (1)  all_58_25 = e3
% 171.71/26.26    (2)  all_58_22 = e0
% 171.71/26.26    (3)   ~ (e2 = e1)
% 171.71/26.26    (4)  (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 171.71/26.26         (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0)
% 171.71/26.26    (5)   ~ (e3 = e0)
% 171.71/26.26    (6)  all_58_21 = e1
% 171.71/26.26    (7)  all_58_20 = e3
% 171.71/26.26    (8)  all_58_20 = e3 | all_58_21 = e2
% 171.71/26.26    (9)  all_58_30 = e3
% 171.71/26.26  
% 171.71/26.26  Begin of proof
% 171.71/26.26  | 
% 171.71/26.26  | BETA: splitting (4) gives:
% 171.71/26.26  | 
% 171.71/26.26  | Case 1:
% 171.71/26.26  | | 
% 171.71/26.26  | |   (10)  all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2
% 171.71/26.26  | | 
% 171.71/26.26  | | ALPHA: (10) implies:
% 171.71/26.26  | |   (11)  all_58_25 = e2
% 171.71/26.26  | |   (12)  all_58_22 = e2
% 171.71/26.26  | | 
% 171.71/26.26  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (11), (12) are inconsistent by
% 171.71/26.26  | |            sub-proof #166.
% 171.71/26.26  | | 
% 171.71/26.26  | Case 2:
% 171.71/26.26  | | 
% 171.71/26.26  | |   (13)  all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0
% 171.71/26.26  | | 
% 171.71/26.26  | | ALPHA: (13) implies:
% 171.71/26.26  | |   (14)  all_58_30 = e0
% 171.71/26.26  | | 
% 171.71/26.26  | | COMBINE_EQS: (9), (14) imply:
% 171.71/26.26  | |   (15)  e3 = e0
% 171.71/26.26  | | 
% 171.71/26.26  | | SIMP: (15) implies:
% 171.71/26.26  | |   (16)  e3 = e0
% 171.71/26.26  | | 
% 171.71/26.26  | | REF_CLOSE: (3), (5), (6), (7), (8), (16) are inconsistent by sub-proof #169.
% 171.71/26.26  | | 
% 171.71/26.26  | End of split
% 171.71/26.26  | 
% 171.71/26.26  End of proof
% 171.71/26.26  
% 171.71/26.26  Sub-proof #166 shows that the following formulas are inconsistent:
% 171.71/26.26  ----------------------------------------------------------------
% 171.71/26.26    (1)  all_58_22 = e2
% 171.71/26.26    (2)  all_58_25 = e3
% 171.71/26.26    (3)  all_58_22 = e0
% 171.71/26.26    (4)   ~ (e2 = e1)
% 171.71/26.26    (5)   ~ (e3 = e0)
% 171.71/26.26    (6)  all_58_21 = e1
% 171.71/26.26    (7)  all_58_20 = e3
% 171.71/26.26    (8)  all_58_20 = e3 | all_58_21 = e2
% 171.71/26.26    (9)  all_58_25 = e2
% 171.71/26.26  
% 171.71/26.26  Begin of proof
% 171.71/26.26  | 
% 171.71/26.26  | COMBINE_EQS: (1), (3) imply:
% 171.71/26.26  |   (10)  e2 = e0
% 171.71/26.26  | 
% 171.71/26.26  | COMBINE_EQS: (2), (9) imply:
% 171.71/26.26  |   (11)  e3 = e2
% 171.71/26.26  | 
% 171.71/26.26  | SIMP: (11) implies:
% 171.71/26.26  |   (12)  e3 = e2
% 171.71/26.26  | 
% 171.71/26.26  | COMBINE_EQS: (10), (12) imply:
% 171.71/26.26  |   (13)  e3 = e0
% 171.71/26.26  | 
% 171.71/26.26  | REF_CLOSE: (4), (5), (6), (7), (8), (13) are inconsistent by sub-proof #169.
% 171.71/26.26  | 
% 171.71/26.26  End of proof
% 171.71/26.26  
% 171.71/26.26  Sub-proof #167 shows that the following formulas are inconsistent:
% 171.71/26.26  ----------------------------------------------------------------
% 171.71/26.26    (1)  all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3
% 171.71/26.26    (2)   ~ (e2 = e1)
% 171.71/26.26    (3)  all_58_28 = e0
% 171.71/26.26    (4)   ~ (e3 = e0)
% 171.71/26.26    (5)  all_58_21 = e1
% 171.71/26.26    (6)  all_58_20 = e3
% 171.71/26.26    (7)  all_58_20 = e3 | all_58_21 = e2
% 171.71/26.26  
% 171.71/26.26  Begin of proof
% 171.71/26.26  | 
% 171.71/26.26  | ALPHA: (1) implies:
% 171.71/26.26  |   (8)  all_58_28 = e3
% 171.71/26.26  | 
% 171.71/26.26  | COMBINE_EQS: (3), (8) imply:
% 171.71/26.26  |   (9)  e3 = e0
% 171.71/26.26  | 
% 171.71/26.26  | SIMP: (9) implies:
% 171.71/26.26  |   (10)  e3 = e0
% 171.71/26.26  | 
% 171.71/26.26  | REF_CLOSE: (2), (4), (5), (6), (7), (10) are inconsistent by sub-proof #169.
% 171.71/26.26  | 
% 171.71/26.26  End of proof
% 171.71/26.26  
% 171.71/26.26  Sub-proof #168 shows that the following formulas are inconsistent:
% 171.71/26.26  ----------------------------------------------------------------
% 171.71/26.26    (1)  all_58_25 = e3
% 171.71/26.26    (2)   ~ (e2 = e1)
% 171.71/26.26    (3)   ~ (e3 = e0)
% 171.71/26.26    (4)  all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2
% 171.71/26.26    (5)  all_58_21 = e1
% 171.71/26.26    (6)  all_58_17 = e0
% 171.71/26.26    (7)  all_58_20 = e3 | all_58_21 = e2
% 171.71/26.26  
% 171.71/26.26  Begin of proof
% 171.71/26.26  | 
% 171.71/26.26  | ALPHA: (4) implies:
% 171.71/26.26  |   (8)  all_58_25 = e2
% 171.71/26.26  |   (9)  all_58_20 = e3
% 171.71/26.26  |   (10)  all_58_17 = e3
% 171.71/26.26  | 
% 171.71/26.26  | COMBINE_EQS: (6), (10) imply:
% 171.71/26.26  |   (11)  e3 = e0
% 171.71/26.26  | 
% 171.71/26.26  | COMBINE_EQS: (1), (8) imply:
% 171.71/26.26  |   (12)  e3 = e2
% 171.71/26.26  | 
% 171.71/26.26  | SIMP: (12) implies:
% 171.71/26.26  |   (13)  e3 = e2
% 171.71/26.26  | 
% 171.71/26.26  | COMBINE_EQS: (11), (13) imply:
% 171.71/26.26  |   (14)  e2 = e0
% 171.71/26.26  | 
% 171.71/26.26  | REF_CLOSE: (2), (3), (5), (7), (9), (11) are inconsistent by sub-proof #169.
% 171.71/26.26  | 
% 171.71/26.26  End of proof
% 171.71/26.26  
% 171.71/26.26  Sub-proof #169 shows that the following formulas are inconsistent:
% 171.71/26.26  ----------------------------------------------------------------
% 171.71/26.26    (1)   ~ (e2 = e1)
% 171.71/26.26    (2)   ~ (e3 = e0)
% 171.71/26.26    (3)  e3 = e0
% 171.71/26.26    (4)  all_58_21 = e1
% 171.71/26.26    (5)  all_58_20 = e3
% 171.71/26.26    (6)  all_58_20 = e3 | all_58_21 = e2
% 171.71/26.26  
% 171.71/26.26  Begin of proof
% 171.71/26.26  | 
% 171.71/26.26  | COMBINE_EQS: (3), (5) imply:
% 171.71/26.26  |   (7)  all_58_20 = e0
% 171.71/26.26  | 
% 171.71/26.26  | BETA: splitting (6) gives:
% 171.71/26.26  | 
% 171.71/26.26  | Case 1:
% 171.71/26.26  | | 
% 171.71/26.26  | |   (8)  all_58_21 = e2
% 171.71/26.26  | | 
% 171.71/26.26  | | REF_CLOSE: (1), (4), (8) are inconsistent by sub-proof #897.
% 171.71/26.26  | | 
% 171.71/26.26  | Case 2:
% 171.71/26.26  | | 
% 171.71/26.26  | | 
% 171.71/26.26  | | REF_CLOSE: (2), (5), (7) are inconsistent by sub-proof #948.
% 171.71/26.26  | | 
% 171.71/26.26  | End of split
% 171.71/26.26  | 
% 171.71/26.26  End of proof
% 171.71/26.26  
% 171.71/26.26  Sub-proof #170 shows that the following formulas are inconsistent:
% 171.71/26.26  ----------------------------------------------------------------
% 171.71/26.26    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 171.71/26.26    (2)  all_58_22 = e0
% 171.71/26.26    (3)   ~ (e3 = e2)
% 171.71/26.26    (4)   ~ (e2 = e1)
% 171.71/26.26    (5)  all_58_16 = e3
% 171.71/26.26    (6)  all_58_16 = e2
% 171.71/26.26    (7)  all_58_21 = e1
% 171.71/26.26    (8)  all_58_20 = e3
% 171.71/26.26    (9)   ~ (e1 = e0)
% 171.71/26.26  
% 171.71/26.26  Begin of proof
% 171.71/26.26  | 
% 171.71/26.26  | COMBINE_EQS: (5), (6) imply:
% 171.71/26.26  |   (10)  e3 = e2
% 171.71/26.26  | 
% 171.71/26.26  | SIMP: (10) implies:
% 171.71/26.26  |   (11)  e3 = e2
% 171.71/26.26  | 
% 171.71/26.26  | COMBINE_EQS: (8), (11) imply:
% 171.71/26.26  |   (12)  all_58_20 = e2
% 171.71/26.26  | 
% 171.71/26.26  | REF_CLOSE: (1), (2), (3), (4), (7), (9), (12) are inconsistent by sub-proof
% 171.71/26.26  |            #767.
% 171.71/26.26  | 
% 171.71/26.26  End of proof
% 171.71/26.26  
% 171.71/26.26  Sub-proof #171 shows that the following formulas are inconsistent:
% 171.71/26.26  ----------------------------------------------------------------
% 171.71/26.26    (1)  e3 = e2
% 171.71/26.26    (2)   ~ (e3 = e2)
% 171.71/26.26    (3)  all_58_20 = e3
% 171.71/26.26    (4)  all_58_20 = e3 | all_58_21 = e2
% 171.71/26.26    (5)  all_58_21 = all_4_2
% 171.71/26.26    (6)   ~ (all_4_2 = e2)
% 171.71/26.26  
% 171.71/26.26  Begin of proof
% 171.71/26.26  | 
% 171.71/26.26  | SIMP: (1) implies:
% 171.71/26.26  |   (7)  e3 = e2
% 171.71/26.26  | 
% 171.71/26.26  | COMBINE_EQS: (3), (7) imply:
% 171.71/26.26  |   (8)  all_58_20 = e2
% 171.71/26.26  | 
% 171.71/26.26  | REF_CLOSE: (2), (4), (5), (6), (8) are inconsistent by sub-proof #212.
% 171.71/26.26  | 
% 171.71/26.26  End of proof
% 171.71/26.26  
% 171.71/26.26  Sub-proof #172 shows that the following formulas are inconsistent:
% 171.71/26.26  ----------------------------------------------------------------
% 171.71/26.26    (1)  all_56_4 = all_52_8
% 171.71/26.26    (2)  all_56_4 = e3
% 171.71/26.26    (3)   ~ (all_52_8 = e3)
% 171.71/26.26  
% 171.71/26.26  Begin of proof
% 171.71/26.26  | 
% 171.71/26.26  | COMBINE_EQS: (1), (2) imply:
% 171.71/26.26  |   (4)  all_52_8 = e3
% 171.71/26.26  | 
% 171.71/26.26  | SIMP: (4) implies:
% 171.71/26.26  |   (5)  all_52_8 = e3
% 171.71/26.26  | 
% 171.71/26.26  | REDUCE: (3), (5) imply:
% 171.71/26.26  |   (6)  $false
% 171.71/26.26  | 
% 171.71/26.26  | CLOSE: (6) is inconsistent.
% 171.71/26.26  | 
% 171.71/26.26  End of proof
% 171.71/26.26  
% 171.71/26.26  Sub-proof #173 shows that the following formulas are inconsistent:
% 171.71/26.26  ----------------------------------------------------------------
% 171.71/26.26    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 171.71/26.26    (2)   ~ (all_52_8 = all_52_12)
% 171.71/26.26    (3)   ~ (all_52_4 = all_4_2)
% 171.71/26.26    (4)  all_54_1 = all_52_4
% 171.71/26.26    (5)  all_54_2 = all_52_8
% 171.71/26.26    (6)  all_58_28 = e3 | all_58_29 = e2
% 171.71/26.26    (7)   ~ (all_52_8 = e2)
% 171.71/26.26    (8)  all_58_22 = e0
% 171.71/26.26    (9)  all_58_20 = all_52_4
% 171.71/26.26    (10)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 171.71/26.26    (11)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 171.71/26.26    (12)   ~ (all_52_4 = all_52_12)
% 171.71/26.26    (13)  all_58_29 = e0
% 171.71/26.26    (14)   ~ (all_52_4 = all_52_8)
% 171.71/26.26    (15)  all_58_21 = all_4_2
% 171.71/26.26    (16)   ~ (e2 = e0)
% 171.71/26.26    (17)  all_58_28 = all_52_12
% 171.71/26.26    (18)   ~ (all_52_8 = e0)
% 171.71/26.26  
% 171.71/26.26  Begin of proof
% 171.71/26.26  | 
% 171.71/26.26  | BETA: splitting (10) gives:
% 171.71/26.26  | 
% 171.71/26.26  | Case 1:
% 171.71/26.26  | | 
% 171.71/26.26  | |   (19)  all_54_2 = e0
% 171.71/26.26  | | 
% 171.71/26.26  | | REF_CLOSE: (5), (18), (19) are inconsistent by sub-proof #763.
% 171.71/26.26  | | 
% 171.71/26.26  | Case 2:
% 171.71/26.26  | | 
% 171.71/26.26  | |   (20)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1
% 171.71/26.26  | | 
% 171.71/26.26  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13),
% 171.71/26.26  | |            (14), (15), (16), (17), (18), (20) are inconsistent by sub-proof
% 171.71/26.26  | |            #604.
% 171.71/26.26  | | 
% 171.71/26.26  | End of split
% 171.71/26.26  | 
% 171.71/26.26  End of proof
% 171.71/26.26  
% 171.71/26.26  Sub-proof #174 shows that the following formulas are inconsistent:
% 171.71/26.26  ----------------------------------------------------------------
% 171.71/26.26    (1)  all_58_19 = all_52_3
% 171.71/26.26    (2)  all_58_19 = e0
% 171.71/26.26    (3)   ~ (all_52_3 = e0)
% 171.71/26.26  
% 171.71/26.26  Begin of proof
% 171.71/26.26  | 
% 171.71/26.26  | COMBINE_EQS: (1), (2) imply:
% 171.71/26.26  |   (4)  all_52_3 = e0
% 171.71/26.26  | 
% 171.71/26.26  | SIMP: (4) implies:
% 171.71/26.26  |   (5)  all_52_3 = e0
% 171.71/26.26  | 
% 171.71/26.26  | REDUCE: (3), (5) imply:
% 171.71/26.26  |   (6)  $false
% 171.71/26.26  | 
% 171.71/26.26  | CLOSE: (6) is inconsistent.
% 171.71/26.26  | 
% 171.71/26.26  End of proof
% 171.71/26.26  
% 171.71/26.26  Sub-proof #175 shows that the following formulas are inconsistent:
% 171.71/26.26  ----------------------------------------------------------------
% 171.71/26.26    (1)  all_56_1 = all_52_4
% 171.71/26.26    (2)  all_56_12 = all_52_3
% 171.71/26.26    (3)  all_56_15 = e0 | ((all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 171.71/26.26           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0))
% 171.71/26.26    (4)   ~ (all_10_2 = e0)
% 171.71/26.26    (5)   ~ (all_52_8 = all_52_12)
% 171.71/26.26    (6)   ~ (all_14_1 = e1)
% 171.71/26.26    (7)   ~ (all_52_2 = all_6_2)
% 171.71/26.26    (8)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.71/26.26    (9)  all_50_0 = all_14_0
% 171.71/26.26    (10)  all_54_3 = all_52_12
% 171.71/26.26    (11)  all_56_5 = all_52_9
% 171.71/26.26    (12)   ~ (all_52_12 = all_6_2)
% 171.71/26.26    (13)  all_56_11 = all_14_1
% 171.71/26.26    (14)   ~ (all_52_13 = e1)
% 171.71/26.26    (15)  op(e3, all_52_4) = all_58_1
% 171.71/26.26    (16)  op(all_14_1, e1) = all_14_0
% 171.71/26.26    (17)  op(all_10_2, e1) = all_10_1
% 171.71/26.26    (18)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 171.71/26.26    (19)  op(e1, all_10_2) = all_58_10
% 171.71/26.26    (20)   ~ (all_52_3 = all_52_7)
% 171.71/26.26    (21)  op(e1, e1) = all_10_2
% 171.71/26.26    (22)  all_56_14 = all_52_11
% 171.71/26.26    (23)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 171.71/26.26    (24)  all_56_8 = all_10_2
% 171.71/26.26    (25)   ~ (all_52_13 = all_14_1)
% 171.71/26.26    (26)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.71/26.26    (27)   ~ (all_50_0 = e2) |  ~ (all_50_1 = e3)
% 171.71/26.26    (28)  all_58_26 = all_10_2
% 171.71/26.26    (29)   ~ (all_52_6 = all_14_1)
% 171.71/26.26    (30)   ~ (all_52_4 = e0)
% 171.71/26.26    (31)   ~ (all_52_1 = all_6_2)
% 171.71/26.26    (32)  all_54_2 = all_52_8
% 171.71/26.26    (33)  all_56_0 = all_6_2
% 171.71/26.26    (34)   ~ (all_52_9 = all_10_2)
% 171.71/26.26    (35)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.71/26.26    (36)  all_58_27 = all_52_11
% 171.71/26.26    (37)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 171.71/26.26    (38)  all_58_17 = all_52_1
% 171.71/26.26    (39)  op(e3, e1) = all_52_8
% 171.71/26.26    (40)  all_58_19 = all_52_3
% 171.71/26.26    (41)  all_56_9 = all_52_12
% 171.71/26.26    (42)   ~ (all_52_2 = all_52_6)
% 171.71/26.26    (43)   ~ (all_52_12 = e1)
% 171.71/26.26    (44)   ~ (all_52_12 = all_14_1)
% 171.71/26.26    (45)   ~ (e3 = e2)
% 171.71/26.26    (46)  all_58_30 = all_14_1
% 171.71/26.26    (47)   ~ (all_52_6 = all_10_2)
% 171.71/26.26    (48)   ~ (all_52_7 = e1)
% 171.71/26.26    (49)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 171.71/26.26    (50)  op(e0, e1) = all_52_11
% 171.71/26.26    (51)   ~ (all_52_1 = all_4_2)
% 171.71/26.26    (52)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.71/26.26    (53)   ~ (all_52_3 = e1)
% 171.71/26.26    (54)  all_54_9 = all_52_6
% 171.71/26.26    (55)  all_58_18 = all_52_2
% 171.71/26.26    (56)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 171.71/26.26    (57)  all_58_16 = all_6_2
% 171.71/26.26    (58)  all_56_13 = all_52_7
% 171.71/26.26    (59)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 171.71/26.26    (60)   ~ (all_52_8 = all_52_9)
% 171.71/26.26    (61)  all_50_1 = all_14_1
% 171.71/26.26    (62)  all_56_2 = all_52_1
% 171.71/26.26    (63)   ~ (e3 = e0)
% 171.71/26.26    (64)  all_54_11 = all_14_1
% 171.71/26.26    (65)  all_58_29 = all_52_13
% 171.71/26.26    (66)   ~ (all_52_1 = all_52_2)
% 171.71/26.26    (67)   ~ (all_4_2 = e0)
% 171.71/26.26    (68)   ~ (all_52_8 = all_10_2)
% 171.71/26.26    (69)  all_56_4 = all_52_8
% 171.71/26.26    (70)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.71/26.26    (71)   ~ (all_52_1 = all_52_13)
% 171.71/26.26    (72)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 171.71/26.26    (73)  all_54_10 = all_10_2
% 171.71/26.26    (74)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 171.71/26.26    (75)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 171.71/26.26    (76)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 171.71/26.26    (77)   ~ (all_52_2 = all_14_1)
% 171.71/26.26    (78)   ~ (all_52_8 = all_52_11)
% 171.71/26.26    (79)   ~ (all_52_8 = all_6_2)
% 171.71/26.26    (80)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.71/26.26    (81)  all_56_6 = all_52_2
% 171.71/26.26    (82)   ~ (all_52_1 = all_52_9)
% 171.71/26.26    (83)  all_56_13 = e0
% 171.71/26.26    (84)  all_52_7 = e0
% 171.71/26.26    (85)  all_58_24 = all_52_8
% 171.71/26.26    (86)   ~ (all_52_9 = all_52_11)
% 171.71/26.26    (87)  all_56_3 = all_4_2
% 171.71/26.26    (88)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 171.71/26.26    (89)   ~ (all_52_11 = e0)
% 171.71/26.26    (90)   ~ (all_52_2 = all_52_3)
% 171.71/26.26    (91)  all_58_25 = all_52_9
% 171.71/26.26    (92)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.71/26.26    (93)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.26            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.26    (94)   ~ (all_52_6 = e0)
% 171.71/26.26    (95)  all_56_10 = all_52_13
% 171.71/26.26    (96)  op(all_10_1, all_10_2) = e0
% 171.71/26.26    (97)   ~ (e2 = e0)
% 171.71/26.26    (98)   ~ (all_14_1 = all_10_2)
% 171.71/26.26    (99)   ~ (all_52_1 = all_52_3)
% 171.71/26.26    (100)  all_58_28 = all_52_12
% 171.71/26.26    (101)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 171.71/26.26    (102)  all_56_7 = all_52_6
% 171.71/26.26    (103)  all_58_31 = e1
% 171.71/26.26    (104)   ~ (all_52_2 = all_10_2)
% 171.71/26.26    (105)   ~ (all_10_1 = e0)
% 171.71/26.26    (106)  all_56_15 = e1
% 171.71/26.26    (107)   ~ (all_52_12 = all_52_13)
% 171.71/26.26  
% 171.71/26.26  Begin of proof
% 171.71/26.26  | 
% 171.71/26.26  | REDUCE: (48), (84) imply:
% 171.71/26.26  |   (108)   ~ (e1 = e0)
% 171.71/26.26  | 
% 171.71/26.26  | SIMP: (108) implies:
% 171.71/26.26  |   (109)   ~ (e1 = e0)
% 171.71/26.26  | 
% 171.71/26.26  | BETA: splitting (76) gives:
% 171.71/26.26  | 
% 171.71/26.26  | Case 1:
% 171.71/26.26  | | 
% 171.71/26.26  | |   (110)  all_56_6 = e0
% 171.71/26.26  | | 
% 171.71/26.26  | | COMBINE_EQS: (81), (110) imply:
% 171.71/26.26  | |   (111)  all_52_2 = e0
% 171.71/26.26  | | 
% 171.71/26.26  | | COMBINE_EQS: (55), (111) imply:
% 171.71/26.26  | |   (112)  all_58_18 = e0
% 171.71/26.26  | | 
% 171.71/26.26  | | REDUCE: (90), (111) imply:
% 171.71/26.26  | |   (113)   ~ (all_52_3 = e0)
% 171.71/26.26  | | 
% 171.71/26.26  | | SIMP: (113) implies:
% 171.71/26.26  | |   (114)   ~ (all_52_3 = e0)
% 171.71/26.26  | | 
% 171.71/26.26  | | REDUCE: (42), (111) imply:
% 171.71/26.26  | |   (115)   ~ (all_52_6 = e0)
% 171.71/26.26  | | 
% 171.71/26.26  | | REDUCE: (77), (111) imply:
% 171.71/26.26  | |   (116)   ~ (all_14_1 = e0)
% 171.71/26.26  | | 
% 171.71/26.26  | | SIMP: (116) implies:
% 171.71/26.26  | |   (117)   ~ (all_14_1 = e0)
% 171.71/26.26  | | 
% 171.71/26.26  | | REDUCE: (104), (111) imply:
% 171.71/26.26  | |   (118)   ~ (all_10_2 = e0)
% 171.71/26.26  | | 
% 171.71/26.26  | | REDUCE: (7), (111) imply:
% 171.71/26.26  | |   (119)   ~ (all_6_2 = e0)
% 171.71/26.26  | | 
% 171.71/26.26  | | SIMP: (119) implies:
% 171.71/26.26  | |   (120)   ~ (all_6_2 = e0)
% 171.71/26.26  | | 
% 171.71/26.26  | | BETA: splitting (23) gives:
% 171.71/26.26  | | 
% 171.71/26.26  | | Case 1:
% 171.71/26.26  | | | 
% 171.71/26.26  | | |   (121)  all_54_11 = e0
% 171.71/26.26  | | | 
% 171.71/26.26  | | | COMBINE_EQS: (64), (121) imply:
% 171.71/26.26  | | |   (122)  all_14_1 = e0
% 171.71/26.26  | | | 
% 171.71/26.26  | | | REDUCE: (117), (122) imply:
% 171.71/26.26  | | |   (123)  $false
% 171.71/26.26  | | | 
% 171.71/26.26  | | | CLOSE: (123) is inconsistent.
% 171.71/26.26  | | | 
% 171.71/26.26  | | Case 2:
% 171.71/26.26  | | | 
% 171.71/26.26  | | |   (124)   ~ (all_54_11 = e0)
% 171.71/26.26  | | |   (125)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 171.71/26.26  | | | 
% 171.71/26.26  | | | BETA: splitting (80) gives:
% 171.71/26.26  | | | 
% 171.71/26.26  | | | Case 1:
% 171.71/26.26  | | | | 
% 171.71/26.26  | | | |   (126)  all_56_0 = e0
% 171.71/26.26  | | | | 
% 171.71/26.26  | | | | COMBINE_EQS: (33), (126) imply:
% 171.71/26.26  | | | |   (127)  all_6_2 = e0
% 171.71/26.26  | | | | 
% 171.71/26.26  | | | | REDUCE: (120), (127) imply:
% 171.71/26.26  | | | |   (128)  $false
% 171.71/26.26  | | | | 
% 171.71/26.26  | | | | CLOSE: (128) is inconsistent.
% 171.71/26.26  | | | | 
% 171.71/26.26  | | | Case 2:
% 171.71/26.26  | | | | 
% 171.71/26.26  | | | |   (129)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.71/26.26  | | | | 
% 171.71/26.26  | | | | BETA: splitting (59) gives:
% 171.71/26.26  | | | | 
% 171.71/26.26  | | | | Case 1:
% 171.71/26.26  | | | | | 
% 171.71/26.26  | | | | |   (130)  all_56_4 = e0
% 171.71/26.26  | | | | | 
% 171.71/26.26  | | | | | COMBINE_EQS: (69), (130) imply:
% 171.71/26.26  | | | | |   (131)  all_52_8 = e0
% 171.71/26.26  | | | | | 
% 171.71/26.26  | | | | | COMBINE_EQS: (85), (131) imply:
% 171.71/26.26  | | | | |   (132)  all_58_24 = e0
% 171.71/26.26  | | | | | 
% 171.71/26.26  | | | | | REDUCE: (78), (131) imply:
% 171.71/26.26  | | | | |   (133)   ~ (all_52_11 = e0)
% 171.71/26.26  | | | | | 
% 171.71/26.26  | | | | | REDUCE: (5), (131) imply:
% 171.71/26.26  | | | | |   (134)   ~ (all_52_12 = e0)
% 171.71/26.26  | | | | | 
% 171.71/26.26  | | | | | SIMP: (134) implies:
% 171.71/26.26  | | | | |   (135)   ~ (all_52_12 = e0)
% 171.71/26.26  | | | | | 
% 171.71/26.26  | | | | | BETA: splitting (3) gives:
% 171.71/26.26  | | | | | 
% 171.71/26.26  | | | | | Case 1:
% 171.71/26.26  | | | | | | 
% 171.71/26.26  | | | | | |   (136)  all_56_15 = e0
% 171.71/26.26  | | | | | | 
% 171.71/26.26  | | | | | | REF_CLOSE: (106), (109), (136) are inconsistent by sub-proof #657.
% 171.71/26.26  | | | | | | 
% 171.71/26.26  | | | | | Case 2:
% 171.71/26.26  | | | | | | 
% 171.71/26.26  | | | | | |   (137)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 171.71/26.26  | | | | | |          (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0)
% 171.71/26.26  | | | | | | 
% 171.71/26.26  | | | | | | ALPHA: (137) implies:
% 171.71/26.27  | | | | | |   (138)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 171.71/26.27  | | | | | | 
% 171.71/26.27  | | | | | | BETA: splitting (138) gives:
% 171.71/26.27  | | | | | | 
% 171.71/26.27  | | | | | | Case 1:
% 171.71/26.27  | | | | | | | 
% 171.71/26.27  | | | | | | |   (139)  all_56_9 = e0
% 171.71/26.27  | | | | | | | 
% 171.71/26.27  | | | | | | | COMBINE_EQS: (41), (139) imply:
% 171.71/26.27  | | | | | | |   (140)  all_52_12 = e0
% 171.71/26.27  | | | | | | | 
% 171.71/26.27  | | | | | | | REDUCE: (135), (140) imply:
% 171.71/26.27  | | | | | | |   (141)  $false
% 171.71/26.27  | | | | | | | 
% 171.71/26.27  | | | | | | | CLOSE: (141) is inconsistent.
% 171.71/26.27  | | | | | | | 
% 171.71/26.27  | | | | | | Case 2:
% 171.71/26.27  | | | | | | | 
% 171.71/26.27  | | | | | | |   (142)  all_56_10 = e0 | all_56_11 = e0
% 171.71/26.27  | | | | | | | 
% 171.71/26.27  | | | | | | | BETA: splitting (142) gives:
% 171.71/26.27  | | | | | | | 
% 171.71/26.27  | | | | | | | Case 1:
% 171.71/26.27  | | | | | | | | 
% 171.71/26.27  | | | | | | | |   (143)  all_56_10 = e0
% 171.71/26.27  | | | | | | | | 
% 171.71/26.27  | | | | | | | | COMBINE_EQS: (95), (143) imply:
% 171.71/26.27  | | | | | | | |   (144)  all_52_13 = e0
% 171.71/26.27  | | | | | | | | 
% 171.71/26.27  | | | | | | | | SIMP: (144) implies:
% 171.71/26.27  | | | | | | | |   (145)  all_52_13 = e0
% 171.71/26.27  | | | | | | | | 
% 171.71/26.27  | | | | | | | | COMBINE_EQS: (65), (145) imply:
% 171.71/26.27  | | | | | | | |   (146)  all_58_29 = e0
% 171.71/26.27  | | | | | | | | 
% 171.71/26.27  | | | | | | | | BETA: splitting (26) gives:
% 171.71/26.27  | | | | | | | | 
% 171.71/26.27  | | | | | | | | Case 1:
% 171.71/26.27  | | | | | | | | | 
% 171.71/26.27  | | | | | | | | |   (147)  all_58_31 = e0
% 171.71/26.27  | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | COMBINE_EQS: (103), (147) imply:
% 171.71/26.27  | | | | | | | | |   (148)  e1 = e0
% 171.71/26.27  | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | REDUCE: (109), (148) imply:
% 171.71/26.27  | | | | | | | | |   (149)  $false
% 171.71/26.27  | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | CLOSE: (149) is inconsistent.
% 171.71/26.27  | | | | | | | | | 
% 171.71/26.27  | | | | | | | | Case 2:
% 171.71/26.27  | | | | | | | | | 
% 171.71/26.27  | | | | | | | | |   (150)   ~ (all_58_31 = e0)
% 171.71/26.27  | | | | | | | | |   (151)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 171.71/26.27  | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | BETA: splitting (151) gives:
% 171.71/26.27  | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | Case 1:
% 171.71/26.27  | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | |   (152)  all_58_30 = e1
% 171.71/26.27  | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | COMBINE_EQS: (46), (152) imply:
% 171.71/26.27  | | | | | | | | | |   (153)  all_14_1 = e1
% 171.71/26.27  | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | REDUCE: (6), (153) imply:
% 171.71/26.27  | | | | | | | | | |   (154)  $false
% 171.71/26.27  | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | CLOSE: (154) is inconsistent.
% 171.71/26.27  | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | Case 2:
% 171.71/26.27  | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | |   (155)  all_58_28 = e3 | all_58_29 = e2
% 171.71/26.27  | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | BETA: splitting (155) gives:
% 171.71/26.27  | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | Case 1:
% 171.71/26.27  | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | |   (156)  all_58_29 = e2
% 171.71/26.27  | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | REF_CLOSE: (97), (146), (156) are inconsistent by sub-proof
% 171.71/26.27  | | | | | | | | | | |            #889.
% 171.71/26.27  | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | Case 2:
% 171.71/26.27  | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | |   (157)  all_58_28 = e3
% 171.71/26.27  | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | COMBINE_EQS: (100), (157) imply:
% 171.71/26.27  | | | | | | | | | | |   (158)  all_52_12 = e3
% 171.71/26.27  | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | REDUCE: (12), (158) imply:
% 171.71/26.27  | | | | | | | | | | |   (159)   ~ (all_6_2 = e3)
% 171.71/26.27  | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | SIMP: (159) implies:
% 171.71/26.27  | | | | | | | | | | |   (160)   ~ (all_6_2 = e3)
% 171.71/26.27  | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | BETA: splitting (8) gives:
% 171.71/26.27  | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | Case 1:
% 171.71/26.27  | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | |   (161)  all_58_19 = e0
% 171.71/26.27  | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | COMBINE_EQS: (40), (161) imply:
% 171.71/26.27  | | | | | | | | | | | |   (162)  all_52_3 = e0
% 171.71/26.27  | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | REDUCE: (114), (162) imply:
% 171.71/26.27  | | | | | | | | | | | |   (163)  $false
% 171.71/26.27  | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | CLOSE: (163) is inconsistent.
% 171.71/26.27  | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | Case 2:
% 171.71/26.27  | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | |   (164)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 171.71/26.27  | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | BETA: splitting (164) gives:
% 171.71/26.27  | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | Case 1:
% 171.71/26.27  | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | |   (165)  all_58_18 = e1
% 171.71/26.27  | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | REF_CLOSE: (109), (112), (165) are inconsistent by sub-proof
% 171.71/26.27  | | | | | | | | | | | | |            #888.
% 171.71/26.27  | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | Case 2:
% 171.71/26.27  | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | |   (166)  all_58_16 = e3 | all_58_17 = e2
% 171.71/26.27  | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | BETA: splitting (166) gives:
% 171.71/26.27  | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | Case 1:
% 171.71/26.27  | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | |   (167)  all_58_17 = e2
% 171.71/26.27  | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | | COMBINE_EQS: (38), (167) imply:
% 171.71/26.27  | | | | | | | | | | | | | |   (168)  all_52_1 = e2
% 171.71/26.27  | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | | REDUCE: (82), (168) imply:
% 171.71/26.27  | | | | | | | | | | | | | |   (169)   ~ (all_52_9 = e2)
% 171.71/26.27  | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | | SIMP: (169) implies:
% 171.71/26.27  | | | | | | | | | | | | | |   (170)   ~ (all_52_9 = e2)
% 171.71/26.27  | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | | BETA: splitting (35) gives:
% 171.71/26.27  | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | | Case 1:
% 171.71/26.27  | | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | | |   (171)  all_58_27 = e0
% 171.71/26.27  | | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | | | REF_CLOSE: (36), (89), (171) are inconsistent by sub-proof
% 171.71/26.27  | | | | | | | | | | | | | | |            #663.
% 171.71/26.27  | | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | | Case 2:
% 171.71/26.27  | | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | | |   (172)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 171.71/26.27  | | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | | | BETA: splitting (172) gives:
% 171.71/26.27  | | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | | | Case 1:
% 171.71/26.27  | | | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | | | |   (173)  all_58_26 = e1
% 171.71/26.27  | | | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | | | | COMBINE_EQS: (28), (173) imply:
% 171.71/26.27  | | | | | | | | | | | | | | | |   (174)  all_10_2 = e1
% 171.71/26.27  | | | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | | | | SIMP: (174) implies:
% 171.71/26.27  | | | | | | | | | | | | | | | |   (175)  all_10_2 = e1
% 171.71/26.27  | | | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | | | | REDUCE: (47), (175) imply:
% 171.71/26.27  | | | | | | | | | | | | | | | |   (176)   ~ (all_52_6 = e1)
% 171.71/26.27  | | | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | | | | REDUCE: (96), (175) imply:
% 171.71/26.27  | | | | | | | | | | | | | | | |   (177)  op(all_10_1, e1) = e0
% 171.71/26.27  | | | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | | | | REDUCE: (17), (175) imply:
% 171.71/26.27  | | | | | | | | | | | | | | | |   (178)  op(e1, e1) = all_10_1
% 171.71/26.27  | | | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | | | | REDUCE: (19), (175) imply:
% 171.71/26.27  | | | | | | | | | | | | | | | |   (179)  op(e1, e1) = all_58_10
% 171.71/26.27  | | | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | | | | REDUCE: (21), (175) imply:
% 171.71/26.27  | | | | | | | | | | | | | | | |   (180)  op(e1, e1) = e1
% 171.71/26.27  | | | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | | | | REF_CLOSE: (54), (92), (93), (94), (105), (176), (177),
% 171.71/26.27  | | | | | | | | | | | | | | | |            (178), (179), (180) are inconsistent by sub-proof
% 171.71/26.27  | | | | | | | | | | | | | | | |            #178.
% 171.71/26.27  | | | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | | | Case 2:
% 171.71/26.27  | | | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | | | |   (181)  all_58_24 = e3 | all_58_25 = e2
% 171.71/26.27  | | | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | | | | REF_CLOSE: (63), (91), (132), (170), (181) are inconsistent
% 171.71/26.27  | | | | | | | | | | | | | | | |            by sub-proof #921.
% 171.71/26.27  | | | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | | | End of split
% 171.71/26.27  | | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | | End of split
% 171.71/26.27  | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | Case 2:
% 171.71/26.27  | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | |   (182)  all_58_16 = e3
% 171.71/26.27  | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | | COMBINE_EQS: (57), (182) imply:
% 171.71/26.27  | | | | | | | | | | | | | |   (183)  all_6_2 = e3
% 171.71/26.27  | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | | REDUCE: (160), (183) imply:
% 171.71/26.27  | | | | | | | | | | | | | |   (184)  $false
% 171.71/26.27  | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | | CLOSE: (184) is inconsistent.
% 171.71/26.27  | | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | | End of split
% 171.71/26.27  | | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | | End of split
% 171.71/26.27  | | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | | End of split
% 171.71/26.27  | | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | | End of split
% 171.71/26.27  | | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | End of split
% 171.71/26.27  | | | | | | | | | 
% 171.71/26.27  | | | | | | | | End of split
% 171.71/26.27  | | | | | | | | 
% 171.71/26.27  | | | | | | | Case 2:
% 171.71/26.27  | | | | | | | | 
% 171.71/26.27  | | | | | | | |   (185)  all_56_11 = e0
% 171.71/26.27  | | | | | | | | 
% 171.71/26.27  | | | | | | | | REF_CLOSE: (13), (117), (185) are inconsistent by sub-proof
% 171.71/26.27  | | | | | | | |            #651.
% 171.71/26.27  | | | | | | | | 
% 171.71/26.27  | | | | | | | End of split
% 171.71/26.27  | | | | | | | 
% 171.71/26.27  | | | | | | End of split
% 171.71/26.27  | | | | | | 
% 171.71/26.27  | | | | | End of split
% 171.71/26.27  | | | | | 
% 171.71/26.27  | | | | Case 2:
% 171.71/26.27  | | | | | 
% 171.71/26.27  | | | | |   (186)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 171.71/26.27  | | | | | 
% 171.71/26.27  | | | | | REF_CLOSE: (1), (2), (4), (5), (6), (8), (9), (11), (15), (16), (22),
% 171.71/26.27  | | | | |            (24), (25), (26), (27), (28), (30), (32), (33), (34), (35),
% 171.71/26.27  | | | | |            (36), (38), (39), (40), (41), (43), (46), (47), (51), (52),
% 171.71/26.27  | | | | |            (53), (57), (60), (61), (62), (63), (64), (65), (68), (69),
% 171.71/26.27  | | | | |            (71), (75), (79), (83), (85), (86), (87), (89), (91), (93),
% 171.71/26.27  | | | | |            (100), (101), (102), (103), (107), (110), (112), (114),
% 171.71/26.27  | | | | |            (125), (129), (186) are inconsistent by sub-proof #659.
% 171.71/26.27  | | | | | 
% 171.71/26.27  | | | | End of split
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | End of split
% 171.71/26.27  | | | 
% 171.71/26.27  | | End of split
% 171.71/26.27  | | 
% 171.71/26.27  | Case 2:
% 171.71/26.27  | | 
% 171.71/26.27  | |   (187)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 171.71/26.27  | | 
% 171.71/26.27  | | BETA: splitting (187) gives:
% 171.71/26.27  | | 
% 171.71/26.27  | | Case 1:
% 171.71/26.27  | | | 
% 171.71/26.27  | | |   (188)  all_56_7 = e0
% 171.71/26.27  | | | 
% 171.71/26.27  | | | COMBINE_EQS: (102), (188) imply:
% 171.71/26.27  | | |   (189)  all_52_6 = e0
% 171.71/26.27  | | | 
% 171.71/26.27  | | | REDUCE: (94), (189) imply:
% 171.71/26.27  | | |   (190)  $false
% 171.71/26.27  | | | 
% 171.71/26.27  | | | CLOSE: (190) is inconsistent.
% 171.71/26.27  | | | 
% 171.71/26.27  | | Case 2:
% 171.71/26.27  | | | 
% 171.71/26.27  | | |   (191)  all_56_8 = e0 | all_56_11 = e0
% 171.71/26.27  | | | 
% 171.71/26.27  | | | BETA: splitting (191) gives:
% 171.71/26.27  | | | 
% 171.71/26.27  | | | Case 1:
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | |   (192)  all_56_8 = e0
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | | COMBINE_EQS: (24), (192) imply:
% 171.71/26.27  | | | |   (193)  all_10_2 = e0
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | | REDUCE: (4), (193) imply:
% 171.71/26.27  | | | |   (194)  $false
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | | CLOSE: (194) is inconsistent.
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | Case 2:
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | |   (195)  all_56_11 = e0
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | | COMBINE_EQS: (13), (195) imply:
% 171.71/26.27  | | | |   (196)  all_14_1 = e0
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | | SIMP: (196) implies:
% 171.71/26.27  | | | |   (197)  all_14_1 = e0
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | | COMBINE_EQS: (46), (197) imply:
% 171.71/26.27  | | | |   (198)  all_58_30 = e0
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | | REDUCE: (77), (197) imply:
% 171.71/26.27  | | | |   (199)   ~ (all_52_2 = e0)
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | | REDUCE: (44), (197) imply:
% 171.71/26.27  | | | |   (200)   ~ (all_52_12 = e0)
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | | REDUCE: (25), (197) imply:
% 171.71/26.27  | | | |   (201)   ~ (all_52_13 = e0)
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | | REDUCE: (98), (197) imply:
% 171.71/26.27  | | | |   (202)   ~ (all_10_2 = e0)
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | | REDUCE: (16), (197) imply:
% 171.71/26.27  | | | |   (203)  op(e0, e1) = all_14_0
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | | GROUND_INST: instantiating (93) with all_52_11, all_14_0, e1, e0,
% 171.71/26.27  | | | |              simplifying with (50), (203) gives:
% 171.71/26.27  | | | |   (204)  all_52_11 = all_14_0
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | | COMBINE_EQS: (36), (204) imply:
% 171.71/26.27  | | | |   (205)  all_58_27 = all_14_0
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | | REDUCE: (78), (204) imply:
% 171.71/26.27  | | | |   (206)   ~ (all_52_8 = all_14_0)
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | | REDUCE: (86), (204) imply:
% 171.71/26.27  | | | |   (207)   ~ (all_52_9 = all_14_0)
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | | BETA: splitting (18) gives:
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | | Case 1:
% 171.71/26.27  | | | | | 
% 171.71/26.27  | | | | |   (208)  all_54_3 = e0
% 171.71/26.27  | | | | | 
% 171.71/26.27  | | | | | COMBINE_EQS: (10), (208) imply:
% 171.71/26.27  | | | | |   (209)  all_52_12 = e0
% 171.71/26.27  | | | | | 
% 171.71/26.27  | | | | | REDUCE: (200), (209) imply:
% 171.71/26.27  | | | | |   (210)  $false
% 171.71/26.27  | | | | | 
% 171.71/26.27  | | | | | CLOSE: (210) is inconsistent.
% 171.71/26.27  | | | | | 
% 171.71/26.27  | | | | Case 2:
% 171.71/26.27  | | | | | 
% 171.71/26.27  | | | | |   (211)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 171.71/26.27  | | | | | 
% 171.71/26.27  | | | | | BETA: splitting (74) gives:
% 171.71/26.27  | | | | | 
% 171.71/26.27  | | | | | Case 1:
% 171.71/26.27  | | | | | | 
% 171.71/26.27  | | | | | |   (212)  all_56_0 = e0
% 171.71/26.27  | | | | | | 
% 171.71/26.27  | | | | | | COMBINE_EQS: (33), (212) imply:
% 171.71/26.27  | | | | | |   (213)  all_6_2 = e0
% 171.71/26.27  | | | | | | 
% 171.71/26.27  | | | | | | REDUCE: (31), (213) imply:
% 171.71/26.27  | | | | | |   (214)   ~ (all_52_1 = e0)
% 171.71/26.27  | | | | | | 
% 171.71/26.27  | | | | | | BETA: splitting (70) gives:
% 171.71/26.27  | | | | | | 
% 171.71/26.27  | | | | | | Case 1:
% 171.71/26.27  | | | | | | | 
% 171.71/26.27  | | | | | | |   (215)  all_56_2 = e0
% 171.71/26.27  | | | | | | | 
% 171.71/26.27  | | | | | | | COMBINE_EQS: (62), (215) imply:
% 171.71/26.27  | | | | | | |   (216)  all_52_1 = e0
% 171.71/26.27  | | | | | | | 
% 171.71/26.27  | | | | | | | REDUCE: (214), (216) imply:
% 171.71/26.27  | | | | | | |   (217)  $false
% 171.71/26.27  | | | | | | | 
% 171.71/26.27  | | | | | | | CLOSE: (217) is inconsistent.
% 171.71/26.27  | | | | | | | 
% 171.71/26.27  | | | | | | Case 2:
% 171.71/26.27  | | | | | | | 
% 171.71/26.27  | | | | | | |   (218)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.71/26.27  | | | | | | | 
% 171.71/26.27  | | | | | | | BETA: splitting (218) gives:
% 171.71/26.27  | | | | | | | 
% 171.71/26.27  | | | | | | | Case 1:
% 171.71/26.27  | | | | | | | | 
% 171.71/26.27  | | | | | | | |   (219)  all_56_3 = e0
% 171.71/26.27  | | | | | | | | 
% 171.71/26.27  | | | | | | | | COMBINE_EQS: (87), (219) imply:
% 171.71/26.27  | | | | | | | |   (220)  all_4_2 = e0
% 171.71/26.27  | | | | | | | | 
% 171.71/26.27  | | | | | | | | REDUCE: (67), (220) imply:
% 171.71/26.27  | | | | | | | |   (221)  $false
% 171.71/26.27  | | | | | | | | 
% 171.71/26.27  | | | | | | | | CLOSE: (221) is inconsistent.
% 171.71/26.27  | | | | | | | | 
% 171.71/26.27  | | | | | | | Case 2:
% 171.71/26.27  | | | | | | | | 
% 171.71/26.27  | | | | | | | |   (222)  all_56_5 = e0 | all_56_10 = e0
% 171.71/26.27  | | | | | | | | 
% 171.71/26.27  | | | | | | | | BETA: splitting (222) gives:
% 171.71/26.27  | | | | | | | | 
% 171.71/26.27  | | | | | | | | Case 1:
% 171.71/26.27  | | | | | | | | | 
% 171.71/26.27  | | | | | | | | |   (223)  all_56_5 = e0
% 171.71/26.27  | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | COMBINE_EQS: (11), (223) imply:
% 171.71/26.27  | | | | | | | | |   (224)  all_52_9 = e0
% 171.71/26.27  | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | COMBINE_EQS: (91), (224) imply:
% 171.71/26.27  | | | | | | | | |   (225)  all_58_25 = e0
% 171.71/26.27  | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | REDUCE: (207), (224) imply:
% 171.71/26.27  | | | | | | | | |   (226)   ~ (all_14_0 = e0)
% 171.71/26.27  | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | SIMP: (226) implies:
% 171.71/26.27  | | | | | | | | |   (227)   ~ (all_14_0 = e0)
% 171.71/26.27  | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | REF_CLOSE: (5), (10), (17), (19), (21), (26), (28), (35),
% 171.71/26.27  | | | | | | | | |            (37), (41), (43), (45), (47), (54), (65), (85),
% 171.71/26.27  | | | | | | | | |            (92), (93), (94), (96), (97), (100), (103), (105),
% 171.71/26.27  | | | | | | | | |            (107), (109), (198), (205), (211), (225), (227) are
% 171.71/26.27  | | | | | | | | |            inconsistent by sub-proof #176.
% 171.71/26.27  | | | | | | | | | 
% 171.71/26.27  | | | | | | | | Case 2:
% 171.71/26.27  | | | | | | | | | 
% 171.71/26.27  | | | | | | | | |   (228)  all_56_10 = e0
% 171.71/26.27  | | | | | | | | | 
% 171.71/26.27  | | | | | | | | | REF_CLOSE: (95), (201), (228) are inconsistent by sub-proof
% 171.71/26.27  | | | | | | | | |            #943.
% 171.71/26.27  | | | | | | | | | 
% 171.71/26.27  | | | | | | | | End of split
% 171.71/26.27  | | | | | | | | 
% 171.71/26.27  | | | | | | | End of split
% 171.71/26.27  | | | | | | | 
% 171.71/26.27  | | | | | | End of split
% 171.71/26.27  | | | | | | 
% 171.71/26.27  | | | | | Case 2:
% 171.71/26.27  | | | | | | 
% 171.71/26.27  | | | | | |   (229)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 171.71/26.27  | | | | | | 
% 171.71/26.27  | | | | | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (10), (11), (12), (15),
% 171.71/26.27  | | | | | |            (17), (20), (22), (24), (26), (28), (30), (33), (34),
% 171.71/26.27  | | | | | |            (35), (38), (39), (40), (41), (43), (49), (55), (56),
% 171.71/26.27  | | | | | |            (57), (58), (59), (62), (65), (66), (67), (69), (72),
% 171.71/26.27  | | | | | |            (73), (81), (82), (85), (87), (88), (89), (91), (93),
% 171.71/26.27  | | | | | |            (94), (97), (99), (100), (102), (103), (104), (105),
% 171.71/26.27  | | | | | |            (107), (109), (198), (199), (205), (206), (211), (229)
% 171.71/26.27  | | | | | |            are inconsistent by sub-proof #187.
% 171.71/26.27  | | | | | | 
% 171.71/26.27  | | | | | End of split
% 171.71/26.27  | | | | | 
% 171.71/26.27  | | | | End of split
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | End of split
% 171.71/26.27  | | | 
% 171.71/26.27  | | End of split
% 171.71/26.27  | | 
% 171.71/26.27  | End of split
% 171.71/26.27  | 
% 171.71/26.27  End of proof
% 171.71/26.27  
% 171.71/26.27  Sub-proof #176 shows that the following formulas are inconsistent:
% 171.71/26.27  ----------------------------------------------------------------
% 171.71/26.27    (1)   ~ (all_52_8 = all_52_12)
% 171.71/26.27    (2)  all_54_3 = all_52_12
% 171.71/26.27    (3)  op(all_10_2, e1) = all_10_1
% 171.71/26.27    (4)  op(e1, all_10_2) = all_58_10
% 171.71/26.27    (5)  op(e1, e1) = all_10_2
% 171.71/26.27    (6)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.71/26.27    (7)  all_58_30 = e0
% 171.71/26.27    (8)  all_58_26 = all_10_2
% 171.71/26.27    (9)  all_58_25 = e0
% 171.71/26.27    (10)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.71/26.27    (11)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 171.71/26.27    (12)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 171.71/26.27    (13)  all_56_9 = all_52_12
% 171.71/26.27    (14)   ~ (all_52_12 = e1)
% 171.71/26.27    (15)   ~ (e3 = e2)
% 171.71/26.27    (16)   ~ (all_52_6 = all_10_2)
% 171.71/26.27    (17)  all_54_9 = all_52_6
% 171.71/26.27    (18)  all_58_29 = all_52_13
% 171.71/26.27    (19)  all_58_27 = all_14_0
% 171.71/26.27    (20)  all_58_24 = all_52_8
% 171.71/26.27    (21)   ~ (all_14_0 = e0)
% 171.71/26.27    (22)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.71/26.27    (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.27            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.27    (24)   ~ (all_52_6 = e0)
% 171.71/26.27    (25)  op(all_10_1, all_10_2) = e0
% 171.71/26.27    (26)   ~ (e2 = e0)
% 171.71/26.27    (27)  all_58_28 = all_52_12
% 171.71/26.27    (28)   ~ (e1 = e0)
% 171.71/26.27    (29)  all_58_31 = e1
% 171.71/26.27    (30)   ~ (all_10_1 = e0)
% 171.71/26.27    (31)   ~ (all_52_12 = all_52_13)
% 171.71/26.27  
% 171.71/26.27  Begin of proof
% 171.71/26.27  | 
% 171.71/26.27  | BETA: splitting (12) gives:
% 171.71/26.27  | 
% 171.71/26.27  | Case 1:
% 171.71/26.27  | | 
% 171.71/26.27  | |   (32)  all_56_9 = e2
% 171.71/26.27  | | 
% 171.71/26.27  | | COMBINE_EQS: (13), (32) imply:
% 171.71/26.27  | |   (33)  all_52_12 = e2
% 171.71/26.27  | | 
% 171.71/26.27  | | SIMP: (33) implies:
% 171.71/26.27  | |   (34)  all_52_12 = e2
% 171.71/26.27  | | 
% 171.71/26.27  | | COMBINE_EQS: (27), (34) imply:
% 171.71/26.27  | |   (35)  all_58_28 = e2
% 171.71/26.27  | | 
% 171.71/26.27  | | REDUCE: (31), (34) imply:
% 171.71/26.27  | |   (36)   ~ (all_52_13 = e2)
% 171.71/26.27  | | 
% 171.71/26.27  | | SIMP: (36) implies:
% 171.71/26.27  | |   (37)   ~ (all_52_13 = e2)
% 171.71/26.27  | | 
% 171.71/26.27  | | BETA: splitting (6) gives:
% 171.71/26.27  | | 
% 171.71/26.27  | | Case 1:
% 171.71/26.27  | | | 
% 171.71/26.27  | | |   (38)  all_58_31 = e0
% 171.71/26.27  | | | 
% 171.71/26.27  | | | COMBINE_EQS: (29), (38) imply:
% 171.71/26.27  | | |   (39)  e1 = e0
% 171.71/26.27  | | | 
% 171.71/26.27  | | | REDUCE: (28), (39) imply:
% 171.71/26.27  | | |   (40)  $false
% 171.71/26.27  | | | 
% 171.71/26.27  | | | CLOSE: (40) is inconsistent.
% 171.71/26.27  | | | 
% 171.71/26.27  | | Case 2:
% 171.71/26.27  | | | 
% 171.71/26.27  | | |   (41)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 171.71/26.27  | | | 
% 171.71/26.27  | | | BETA: splitting (41) gives:
% 171.71/26.27  | | | 
% 171.71/26.27  | | | Case 1:
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | |   (42)  all_58_30 = e1
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | | REF_CLOSE: (7), (28), (42) are inconsistent by sub-proof #838.
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | Case 2:
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | |   (43)  all_58_28 = e3 | all_58_29 = e2
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | | REF_CLOSE: (15), (18), (35), (37), (43) are inconsistent by sub-proof
% 171.71/26.27  | | | |            #757.
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | End of split
% 171.71/26.27  | | | 
% 171.71/26.27  | | End of split
% 171.71/26.27  | | 
% 171.71/26.27  | Case 2:
% 171.71/26.27  | | 
% 171.71/26.27  | |   (44)   ~ (all_56_9 = e2)
% 171.71/26.27  | | 
% 171.71/26.27  | | REDUCE: (13), (44) imply:
% 171.71/26.27  | |   (45)   ~ (all_52_12 = e2)
% 171.71/26.27  | | 
% 171.71/26.27  | | BETA: splitting (11) gives:
% 171.71/26.27  | | 
% 171.71/26.27  | | Case 1:
% 171.71/26.27  | | | 
% 171.71/26.27  | | |   (46)  all_54_3 = e1
% 171.71/26.27  | | | 
% 171.71/26.27  | | | REF_CLOSE: (2), (14), (46) are inconsistent by sub-proof #894.
% 171.71/26.27  | | | 
% 171.71/26.27  | | Case 2:
% 171.71/26.27  | | | 
% 171.71/26.27  | | |   (47)  all_54_3 = e3 | all_54_3 = e2
% 171.71/26.27  | | | 
% 171.71/26.27  | | | BETA: splitting (47) gives:
% 171.71/26.27  | | | 
% 171.71/26.27  | | | Case 1:
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | |   (48)  all_54_3 = e2
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | | REF_CLOSE: (2), (45), (48) are inconsistent by sub-proof #893.
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | Case 2:
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | |   (49)  all_54_3 = e3
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | | COMBINE_EQS: (2), (49) imply:
% 171.71/26.27  | | | |   (50)  all_52_12 = e3
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | | SIMP: (50) implies:
% 171.71/26.27  | | | |   (51)  all_52_12 = e3
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | | REDUCE: (1), (51) imply:
% 171.71/26.27  | | | |   (52)   ~ (all_52_8 = e3)
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | | BETA: splitting (10) gives:
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | | Case 1:
% 171.71/26.27  | | | | | 
% 171.71/26.27  | | | | |   (53)  all_58_27 = e0
% 171.71/26.27  | | | | | 
% 171.71/26.27  | | | | | COMBINE_EQS: (19), (53) imply:
% 171.71/26.27  | | | | |   (54)  all_14_0 = e0
% 171.71/26.27  | | | | | 
% 171.71/26.27  | | | | | REDUCE: (21), (54) imply:
% 171.71/26.27  | | | | |   (55)  $false
% 171.71/26.27  | | | | | 
% 171.71/26.27  | | | | | CLOSE: (55) is inconsistent.
% 171.71/26.27  | | | | | 
% 171.71/26.27  | | | | Case 2:
% 171.71/26.27  | | | | | 
% 171.71/26.27  | | | | |   (56)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 171.71/26.27  | | | | | 
% 171.71/26.27  | | | | | REF_CLOSE: (3), (4), (5), (8), (9), (16), (17), (20), (22), (23),
% 171.71/26.27  | | | | |            (24), (25), (26), (30), (52), (56) are inconsistent by
% 171.71/26.27  | | | | |            sub-proof #177.
% 171.71/26.27  | | | | | 
% 171.71/26.27  | | | | End of split
% 171.71/26.27  | | | | 
% 171.71/26.27  | | | End of split
% 171.71/26.27  | | | 
% 171.71/26.27  | | End of split
% 171.71/26.27  | | 
% 171.71/26.27  | End of split
% 171.71/26.27  | 
% 171.71/26.27  End of proof
% 171.71/26.27  
% 171.71/26.27  Sub-proof #177 shows that the following formulas are inconsistent:
% 171.71/26.27  ----------------------------------------------------------------
% 171.71/26.27    (1)  op(all_10_2, e1) = all_10_1
% 171.71/26.27    (2)  op(e1, all_10_2) = all_58_10
% 171.71/26.27    (3)  op(e1, e1) = all_10_2
% 171.71/26.27    (4)  all_58_26 = all_10_2
% 171.71/26.27    (5)  all_58_25 = e0
% 171.71/26.27    (6)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 171.71/26.27    (7)   ~ (all_52_6 = all_10_2)
% 171.71/26.27    (8)  all_54_9 = all_52_6
% 171.71/26.27    (9)   ~ (all_52_8 = e3)
% 171.71/26.27    (10)  all_58_24 = all_52_8
% 171.71/26.27    (11)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.71/26.27    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.27            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.27    (13)   ~ (all_52_6 = e0)
% 171.71/26.27    (14)  op(all_10_1, all_10_2) = e0
% 171.71/26.27    (15)   ~ (e2 = e0)
% 171.71/26.27    (16)   ~ (all_10_1 = e0)
% 171.71/26.27  
% 171.71/26.27  Begin of proof
% 171.71/26.27  | 
% 171.71/26.27  | BETA: splitting (6) gives:
% 171.71/26.27  | 
% 171.71/26.27  | Case 1:
% 171.71/26.27  | | 
% 171.71/26.27  | |   (17)  all_58_26 = e1
% 171.71/26.27  | | 
% 171.71/26.27  | | COMBINE_EQS: (4), (17) imply:
% 171.71/26.27  | |   (18)  all_10_2 = e1
% 171.71/26.27  | | 
% 171.71/26.27  | | REDUCE: (7), (18) imply:
% 171.71/26.27  | |   (19)   ~ (all_52_6 = e1)
% 171.71/26.27  | | 
% 171.71/26.27  | | REDUCE: (14), (18) imply:
% 171.71/26.27  | |   (20)  op(all_10_1, e1) = e0
% 171.71/26.27  | | 
% 171.71/26.27  | | REDUCE: (1), (18) imply:
% 171.71/26.27  | |   (21)  op(e1, e1) = all_10_1
% 171.71/26.27  | | 
% 171.71/26.27  | | REDUCE: (2), (18) imply:
% 171.71/26.27  | |   (22)  op(e1, e1) = all_58_10
% 171.71/26.27  | | 
% 171.71/26.27  | | REDUCE: (3), (18) imply:
% 171.71/26.27  | |   (23)  op(e1, e1) = e1
% 171.71/26.27  | | 
% 171.71/26.27  | | REF_CLOSE: (8), (11), (12), (13), (16), (19), (20), (21), (22), (23) are
% 171.71/26.27  | |            inconsistent by sub-proof #178.
% 171.71/26.27  | | 
% 171.71/26.27  | Case 2:
% 171.71/26.27  | | 
% 171.71/26.27  | |   (24)  all_58_24 = e3 | all_58_25 = e2
% 171.71/26.27  | | 
% 171.71/26.27  | | REF_CLOSE: (5), (9), (10), (15), (24) are inconsistent by sub-proof #849.
% 171.71/26.27  | | 
% 171.71/26.27  | End of split
% 171.71/26.27  | 
% 171.71/26.27  End of proof
% 171.71/26.27  
% 171.71/26.27  Sub-proof #178 shows that the following formulas are inconsistent:
% 171.71/26.27  ----------------------------------------------------------------
% 171.71/26.27    (1)  op(all_10_1, e1) = e0
% 171.71/26.27    (2)   ~ (all_52_6 = e1)
% 171.71/26.27    (3)  op(e1, e1) = all_58_10
% 171.71/26.27    (4)  all_54_9 = all_52_6
% 171.71/26.27    (5)  op(e1, e1) = e1
% 171.71/26.27    (6)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.71/26.27    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.27           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.27    (8)   ~ (all_52_6 = e0)
% 171.71/26.27    (9)  op(e1, e1) = all_10_1
% 171.71/26.27    (10)   ~ (all_10_1 = e0)
% 171.71/26.27  
% 171.71/26.27  Begin of proof
% 171.71/26.27  | 
% 171.71/26.27  | BETA: splitting (6) gives:
% 171.71/26.27  | 
% 171.71/26.27  | Case 1:
% 171.71/26.27  | | 
% 171.71/26.27  | |   (11)  all_54_9 = e0
% 171.71/26.27  | | 
% 171.71/26.27  | | REF_CLOSE: (4), (8), (11) are inconsistent by sub-proof #903.
% 171.71/26.27  | | 
% 171.71/26.27  | Case 2:
% 171.71/26.27  | | 
% 171.71/26.27  | |   (12)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 171.71/26.27  | | 
% 171.71/26.27  | | BETA: splitting (12) gives:
% 171.71/26.27  | | 
% 171.71/26.27  | | Case 1:
% 171.71/26.27  | | | 
% 171.71/26.27  | | |   (13)  all_54_9 = e1
% 171.71/26.27  | | | 
% 171.71/26.27  | | | REF_CLOSE: (2), (4), (13) are inconsistent by sub-proof #900.
% 171.71/26.27  | | | 
% 171.71/26.27  | | Case 2:
% 171.71/26.27  | | | 
% 171.71/26.27  | | | 
% 171.71/26.27  | | | REF_CLOSE: (1), (3), (5), (7), (9), (10) are inconsistent by sub-proof
% 171.71/26.27  | | |            #484.
% 171.71/26.27  | | | 
% 171.71/26.27  | | End of split
% 171.71/26.27  | | 
% 171.71/26.27  | End of split
% 171.71/26.27  | 
% 171.71/26.27  End of proof
% 171.71/26.27  
% 171.71/26.27  Sub-proof #179 shows that the following formulas are inconsistent:
% 171.71/26.27  ----------------------------------------------------------------
% 171.71/26.27    (1)   ~ (all_52_12 = all_14_2)
% 171.71/26.27    (2)  op(e0, e0) = all_14_2
% 171.71/26.27    (3)  all_54_8 = all_52_2
% 171.71/26.27    (4)  all_56_1 = all_52_4
% 171.71/26.27    (5)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 171.71/26.27    (6)  all_56_12 = all_52_3
% 171.71/26.27    (7)  op(e1, e3) = all_52_2
% 171.71/26.27    (8)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.71/26.27    (9)  op(e1, all_52_14) = all_58_11
% 171.71/26.27    (10)   ~ (all_10_2 = e0)
% 171.71/26.27    (11)   ~ (all_52_8 = all_52_12)
% 171.71/26.27    (12)   ~ (e3 = e1)
% 171.71/26.27    (13)  all_58_23 = all_52_7
% 171.71/26.27    (14)   ~ (all_52_2 = all_6_2)
% 171.71/26.27    (15)  all_8_2 = all_6_2
% 171.71/26.27    (16)   ~ (all_52_4 = all_4_2)
% 171.71/26.27    (17)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.71/26.27    (18)  all_54_3 = all_52_12
% 171.71/26.27    (19)  all_56_5 = all_52_9
% 171.71/26.27    (20)   ~ (all_52_3 = all_52_11)
% 171.71/26.27    (21)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.71/26.27    (22)  op(all_6_2, e3) = all_6_1
% 171.71/26.27    (23)   ~ (all_52_12 = all_6_2)
% 171.71/26.27    (24)  op(e2, e0) = all_52_13
% 171.71/26.27    (25)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 171.71/26.27    (26)   ~ (all_52_6 = all_4_2)
% 171.71/26.27    (27)  op(e3, all_6_2) = all_58_0
% 171.71/26.27    (28)  op(e1, e0) = all_52_14
% 171.71/26.27    (29)  all_56_15 = all_14_2
% 171.71/26.27    (30)  op(e3, all_52_4) = all_58_1
% 171.71/26.27    (31)  all_54_1 = all_52_4
% 171.71/26.27    (32)  op(all_10_2, e1) = all_10_1
% 171.71/26.27    (33)   ~ (all_14_2 = e0)
% 171.71/26.27    (34)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 171.71/26.27    (35)  op(e1, all_10_2) = all_58_10
% 171.71/26.27    (36)   ~ (all_52_9 = all_4_2)
% 171.71/26.27    (37)   ~ (all_52_3 = all_52_7)
% 171.71/26.27    (38)  op(e1, e1) = all_10_2
% 171.71/26.27    (39)  all_54_6 = all_52_9
% 171.71/26.27    (40)  all_56_14 = all_52_11
% 171.71/26.27    (41)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 171.71/26.27    (42)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 171.71/26.27    (43)   ~ (all_52_13 = all_4_2)
% 171.71/26.27    (44)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.71/26.27    (45)  op(e0, all_52_3) = all_58_12
% 171.71/26.27    (46)  all_56_8 = all_10_2
% 171.71/26.27    (47)  op(e2, all_52_1) = all_58_4
% 171.71/26.27    (48)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.71/26.27    (49)  all_58_26 = all_10_2
% 171.71/26.27    (50)   ~ (all_52_4 = all_52_6)
% 171.71/26.28    (51)  all_58_31 = all_14_2
% 171.71/26.28    (52)   ~ (all_52_11 = all_10_2)
% 171.71/26.28    (53)   ~ (all_52_9 = all_52_13)
% 171.71/26.28    (54)   ~ (all_52_3 = all_6_2)
% 171.71/26.28    (55)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 171.71/26.28    (56)  op(all_6_1, all_6_2) = e0
% 171.71/26.28    (57)   ~ (all_52_1 = all_6_2)
% 171.71/26.28    (58)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 171.71/26.28    (59)  all_54_2 = all_52_8
% 171.71/26.28    (60)  all_56_11 = all_52_14
% 171.71/26.28    (61)  op(e2, e1) = all_52_9
% 171.71/26.28    (62)   ~ (all_52_6 = all_52_7)
% 171.71/26.28    (63)   ~ (all_4_1 = e0)
% 171.71/26.28    (64)  all_56_0 = all_6_2
% 171.71/26.28    (65)   ~ (all_52_9 = all_10_2)
% 171.71/26.28    (66)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.71/26.28    (67)  all_58_30 = all_52_14
% 171.71/26.28    (68)  all_58_27 = all_52_11
% 171.71/26.28    (69)  all_54_14 = all_52_11
% 171.71/26.28    (70)  op(e3, e2) = all_52_4
% 171.71/26.28    (71)  op(all_4_2, e2) = all_4_1
% 171.71/26.28    (72)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 171.71/26.28    (73)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 171.71/26.28    (74)  all_58_17 = all_52_1
% 171.71/26.28    (75)  op(e3, e1) = all_52_8
% 171.71/26.28    (76)  all_58_19 = all_52_3
% 171.71/26.28    (77)  all_56_9 = all_52_12
% 171.71/26.28    (78)   ~ (all_52_2 = all_52_6)
% 171.71/26.28    (79)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 171.71/26.28    (80)   ~ (all_56_2 = e0)
% 171.71/26.28    (81)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 171.71/26.28    (82)   ~ (e3 = e2)
% 171.71/26.28    (83)   ~ (all_52_4 = all_52_7)
% 171.71/26.28    (84)   ~ (e2 = e1)
% 171.71/26.28    (85)   ~ (all_52_6 = all_10_2)
% 171.71/26.28    (86)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 171.71/26.28    (87)  op(e0, all_52_11) = all_58_14
% 171.71/26.28    (88)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 171.71/26.28    (89)   ~ (all_52_7 = all_14_2)
% 171.71/26.28    (90)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 171.71/26.28    (91)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 171.71/26.28    (92)   ~ (all_52_13 = all_14_2)
% 171.71/26.28    (93)   ~ (all_52_1 = all_4_2)
% 171.71/26.28    (94)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.71/26.28    (95)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.71/26.28    (96)  all_54_9 = all_52_6
% 171.71/26.28    (97)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 171.71/26.28    (98)   ~ (all_52_13 = all_52_14)
% 171.71/26.28    (99)  all_38_1 = all_10_1
% 171.71/26.28    (100)  op(e2, e3) = all_52_1
% 171.71/26.28    (101)  all_58_18 = all_52_2
% 171.71/26.28    (102)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.71/26.28    (103)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 171.71/26.28    (104)  all_58_16 = all_6_2
% 171.71/26.28    (105)  all_56_13 = all_52_7
% 171.71/26.28    (106)  op(e0, e3) = all_52_3
% 171.71/26.28    (107)  op(e0, all_52_7) = all_58_13
% 171.71/26.28    (108)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 171.71/26.28    (109)   ~ (all_52_8 = all_52_9)
% 171.71/26.28    (110)   ~ (all_52_4 = all_6_2)
% 171.71/26.28    (111)  all_56_2 = all_52_1
% 171.71/26.28    (112)   ~ (e3 = e0)
% 171.71/26.28    (113)  op(e3, e0) = all_52_12
% 171.71/26.28    (114)  all_58_29 = all_52_13
% 171.71/26.28    (115)   ~ (all_52_1 = all_52_2)
% 171.71/26.28    (116)   ~ (all_4_2 = e0)
% 171.71/26.28    (117)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 171.71/26.28    (118)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 171.71/26.28    (119)   ~ (all_52_6 = all_52_14)
% 171.71/26.28    (120)   ~ (all_52_7 = all_4_2)
% 171.71/26.28    (121)   ~ (all_52_8 = all_10_2)
% 171.71/26.28    (122)  all_56_4 = all_52_8
% 171.71/26.28    (123)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.71/26.28    (124)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 171.71/26.28    (125)   ~ (all_52_1 = all_52_13)
% 171.71/26.28    (126)  all_38_2 = all_10_2
% 171.71/26.28    (127)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 171.71/26.28    (128)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 171.71/26.28    (129)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 171.71/26.28    (130)  all_58_20 = all_52_4
% 171.71/26.28    (131)  all_54_10 = all_10_2
% 171.71/26.28    (132)  all_54_13 = all_52_7
% 171.71/26.28    (133)  all_54_15 = all_14_2
% 171.71/26.28    (134)   ~ (all_52_7 = all_52_11)
% 171.71/26.28    (135)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 171.71/26.28    (136)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 171.71/26.28    (137)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 171.71/26.28    (138)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 171.71/26.28    (139)   ~ (all_52_8 = all_52_11)
% 171.71/26.28    (140)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 171.71/26.28    (141)   ~ (all_52_8 = all_6_2)
% 171.71/26.28    (142)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 171.71/26.28    (143)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.71/26.28    (144)  all_56_6 = all_52_2
% 171.71/26.28    (145)   ~ (all_52_1 = all_52_9)
% 171.71/26.28    (146)  op(e3, e3) = all_6_2
% 171.71/26.28    (147)  all_58_24 = all_52_8
% 171.71/26.28    (148)   ~ (all_52_12 = all_52_14)
% 171.71/26.28    (149)   ~ (all_52_9 = all_52_11)
% 171.71/26.28    (150)  all_58_22 = all_52_6
% 171.71/26.28    (151)   ~ (all_38_1 = e3) |  ~ (all_38_2 = e2)
% 171.71/26.28    (152)   ~ (all_52_4 = all_52_12)
% 171.71/26.28    (153)  all_56_3 = all_4_2
% 171.71/26.28    (154)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 171.71/26.28    (155)  all_54_0 = all_6_2
% 171.71/26.28    (156)   ~ (all_52_14 = all_10_2)
% 171.71/26.28    (157)   ~ (all_52_2 = all_52_3)
% 171.71/26.28    (158)   ~ (all_52_4 = all_52_8)
% 171.71/26.28    (159)   ~ (all_52_14 = all_14_2)
% 171.71/26.28    (160)  all_58_25 = all_52_9
% 171.71/26.28    (161)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.71/26.28    (162)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.28             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.28    (163)  all_54_12 = all_52_3
% 171.71/26.28    (164)   ~ (all_52_2 = all_52_14)
% 171.71/26.28    (165)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 171.71/26.28    (166)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.71/26.28    (167)  all_58_21 = all_4_2
% 171.71/26.28    (168)  all_56_10 = all_52_13
% 171.71/26.28    (169)  op(e2, all_52_9) = all_58_6
% 171.71/26.28    (170)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.71/26.28    (171)   ~ (e2 = e0)
% 171.71/26.28    (172)   ~ (all_52_1 = all_52_3)
% 171.71/26.28    (173)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 171.71/26.28    (174)  all_8_1 = all_6_1
% 171.71/26.28    (175)  all_58_28 = all_52_12
% 171.71/26.28    (176)  op(e1, all_52_6) = all_58_9
% 171.71/26.28    (177)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 171.71/26.28    (178)   ~ (e1 = e0)
% 171.71/26.28    (179)  all_54_4 = all_52_1
% 171.71/26.28    (180)  all_56_7 = all_52_6
% 171.71/26.28    (181)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 171.71/26.28             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 171.71/26.28             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 171.71/26.28             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 171.71/26.28             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 171.71/26.28             (all_58_15 = e0))
% 171.71/26.28    (182)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 171.71/26.28    (183)  all_54_5 = all_4_2
% 171.71/26.28    (184)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 171.71/26.28    (185)  op(e2, all_52_13) = all_58_7
% 171.71/26.28    (186)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 171.71/26.28    (187)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 171.71/26.28    (188)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 171.71/26.28           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 171.71/26.28           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.71/26.28           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 171.71/26.28           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.71/26.28           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 171.71/26.28           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.71/26.28           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 171.71/26.28           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 171.71/26.28           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 171.71/26.28             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 171.71/26.28             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 171.71/26.28             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 171.71/26.28             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 171.71/26.28             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 171.71/26.28             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 171.71/26.28             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 171.71/26.28             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 171.71/26.28             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 171.71/26.28             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 171.71/26.28             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 171.71/26.28             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 171.71/26.28             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 171.71/26.28             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 171.71/26.28             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 171.71/26.28             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 171.71/26.28           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 171.71/26.28           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 171.71/26.28           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 171.71/26.28             all_58_30 = e0 & e1 = e0)
% 171.71/26.28    (189)  all_54_7 = all_52_13
% 171.71/26.28    (190)   ~ (all_52_2 = all_10_2)
% 171.71/26.28    (191)   ~ (all_10_1 = e0)
% 171.71/26.28    (192)  all_54_11 = all_52_14
% 171.71/26.28    (193)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 171.71/26.28    (194)   ~ (all_52_12 = all_52_13)
% 171.71/26.28  
% 171.71/26.28  Begin of proof
% 171.71/26.28  | 
% 171.71/26.28  | REDUCE: (80), (111) imply:
% 171.71/26.28  |   (195)   ~ (all_52_1 = e0)
% 171.71/26.28  | 
% 171.71/26.28  | BETA: splitting (129) gives:
% 171.71/26.28  | 
% 171.71/26.28  | Case 1:
% 171.71/26.28  | | 
% 171.71/26.28  | |   (196)  all_54_12 = e0
% 171.71/26.28  | | 
% 171.71/26.28  | | REF_CLOSE: (1), (3), (4), (6), (7), (8), (10), (11), (13), (14), (15), (16),
% 171.71/26.28  | |            (19), (20), (22), (23), (26), (29), (31), (36), (37), (40), (43),
% 171.71/26.28  | |            (44), (46), (48), (49), (50), (51), (52), (54), (57), (60), (62),
% 171.71/26.28  | |            (63), (64), (65), (66), (67), (68), (69), (70), (71), (72), (77),
% 171.71/26.28  | |            (78), (79), (81), (82), (83), (84), (85), (89), (90), (92), (93),
% 171.71/26.28  | |            (94), (95), (97), (98), (100), (102), (103), (105), (108), (109),
% 171.71/26.28  | |            (110), (111), (112), (114), (115), (116), (118), (119), (120),
% 171.71/26.28  | |            (122), (123), (125), (130), (132), (134), (137), (138), (139),
% 171.71/26.28  | |            (141), (142), (143), (144), (145), (147), (148), (149), (150),
% 171.71/26.28  | |            (152), (153), (155), (156), (157), (158), (159), (160), (162),
% 171.71/26.28  | |            (163), (164), (166), (167), (168), (170), (171), (172), (173),
% 171.71/26.28  | |            (174), (175), (178), (179), (180), (183), (187), (190), (193),
% 171.71/26.28  | |            (194), (196) are inconsistent by sub-proof #204.
% 171.71/26.28  | | 
% 171.71/26.28  | Case 2:
% 171.71/26.28  | | 
% 171.71/26.28  | |   (197)   ~ (all_54_12 = e0)
% 171.71/26.28  | |   (198)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 171.71/26.28  | | 
% 171.71/26.28  | | REDUCE: (163), (197) imply:
% 171.71/26.28  | |   (199)   ~ (all_52_3 = e0)
% 171.71/26.28  | | 
% 171.71/26.28  | | BETA: splitting (135) gives:
% 171.71/26.28  | | 
% 171.71/26.28  | | Case 1:
% 171.71/26.28  | | | 
% 171.71/26.28  | | |   (200)  all_56_0 = e0
% 171.71/26.28  | | | 
% 171.71/26.28  | | | COMBINE_EQS: (64), (200) imply:
% 171.71/26.28  | | |   (201)  all_6_2 = e0
% 171.71/26.28  | | | 
% 171.71/26.28  | | | COMBINE_EQS: (104), (201) imply:
% 171.71/26.28  | | |   (202)  all_58_16 = e0
% 171.71/26.28  | | | 
% 171.71/26.28  | | | REDUCE: (14), (201) imply:
% 171.71/26.28  | | |   (203)   ~ (all_52_2 = e0)
% 171.71/26.28  | | | 
% 171.71/26.28  | | | REDUCE: (110), (201) imply:
% 171.71/26.28  | | |   (204)   ~ (all_52_4 = e0)
% 171.71/26.28  | | | 
% 171.71/26.28  | | | REDUCE: (141), (201) imply:
% 171.71/26.28  | | |   (205)   ~ (all_52_8 = e0)
% 171.71/26.28  | | | 
% 171.71/26.28  | | | REDUCE: (23), (201) imply:
% 171.71/26.28  | | |   (206)   ~ (all_52_12 = e0)
% 171.71/26.28  | | | 
% 171.71/26.28  | | | REDUCE: (22), (201) imply:
% 171.71/26.28  | | |   (207)  op(e0, e3) = all_6_1
% 171.71/26.28  | | | 
% 171.71/26.28  | | | REDUCE: (27), (201) imply:
% 171.71/26.28  | | |   (208)  op(e3, e0) = all_58_0
% 171.71/26.28  | | | 
% 171.71/26.28  | | | GROUND_INST: instantiating (162) with all_52_3, all_6_1, e3, e0,
% 171.71/26.28  | | |              simplifying with (106), (207) gives:
% 171.71/26.28  | | |   (209)  all_52_3 = all_6_1
% 171.71/26.28  | | | 
% 171.71/26.28  | | | GROUND_INST: instantiating (162) with all_52_12, all_58_0, e0, e3,
% 171.71/26.28  | | |              simplifying with (113), (208) gives:
% 171.71/26.28  | | |   (210)  all_58_0 = all_52_12
% 171.71/26.28  | | | 
% 171.71/26.28  | | | COMBINE_EQS: (6), (209) imply:
% 171.71/26.28  | | |   (211)  all_56_12 = all_6_1
% 171.71/26.28  | | | 
% 171.71/26.28  | | | COMBINE_EQS: (76), (209) imply:
% 171.71/26.28  | | |   (212)  all_58_19 = all_6_1
% 171.71/26.28  | | | 
% 171.71/26.28  | | | REDUCE: (172), (209) imply:
% 171.71/26.28  | | |   (213)   ~ (all_52_1 = all_6_1)
% 171.71/26.28  | | | 
% 171.71/26.28  | | | REDUCE: (157), (209) imply:
% 171.71/26.28  | | |   (214)   ~ (all_52_2 = all_6_1)
% 171.71/26.28  | | | 
% 171.71/26.28  | | | REDUCE: (37), (209) imply:
% 171.71/26.28  | | |   (215)   ~ (all_52_7 = all_6_1)
% 171.71/26.28  | | | 
% 171.71/26.28  | | | SIMP: (215) implies:
% 171.71/26.28  | | |   (216)   ~ (all_52_7 = all_6_1)
% 171.71/26.28  | | | 
% 171.71/26.28  | | | REDUCE: (20), (209) imply:
% 171.71/26.28  | | |   (217)   ~ (all_52_11 = all_6_1)
% 171.71/26.28  | | | 
% 171.71/26.28  | | | SIMP: (217) implies:
% 171.71/26.28  | | |   (218)   ~ (all_52_11 = all_6_1)
% 171.71/26.28  | | | 
% 171.71/26.28  | | | REDUCE: (199), (209) imply:
% 171.71/26.28  | | |   (219)   ~ (all_6_1 = e0)
% 171.71/26.28  | | | 
% 171.71/26.28  | | | REF_CLOSE: (1), (2), (4), (5), (9), (10), (11), (12), (13), (16), (17),
% 171.71/26.28  | | |            (18), (19), (21), (24), (25), (26), (28), (29), (31), (33),
% 171.71/26.28  | | |            (34), (36), (39), (40), (41), (42), (44), (46), (48), (49),
% 171.71/26.28  | | |            (50), (51), (52), (53), (55), (58), (59), (60), (62), (65),
% 171.71/26.28  | | |            (66), (67), (68), (69), (72), (74), (77), (78), (79), (82),
% 171.71/26.28  | | |            (83), (84), (85), (86), (87), (90), (91), (92), (93), (94),
% 171.71/26.28  | | |            (95), (96), (97), (98), (101), (102), (105), (107), (108),
% 171.71/26.28  | | |            (109), (111), (112), (114), (115), (116), (117), (119), (120),
% 171.71/26.28  | | |            (121), (122), (125), (127), (130), (133), (134), (136), (137),
% 171.71/26.28  | | |            (138), (139), (140), (142), (144), (145), (147), (148), (149),
% 171.71/26.28  | | |            (150), (152), (153), (156), (158), (159), (160), (161), (162),
% 171.71/26.28  | | |            (164), (167), (168), (169), (170), (171), (175), (176), (177),
% 171.71/26.28  | | |            (178), (179), (180), (181), (182), (183), (185), (188), (189),
% 171.71/26.28  | | |            (190), (192), (193), (194), (195), (200), (202), (203), (204),
% 171.71/26.28  | | |            (205), (206), (210), (211), (212), (213), (214), (216), (218),
% 171.71/26.28  | | |            (219) are inconsistent by sub-proof #579.
% 171.71/26.28  | | | 
% 171.71/26.28  | | Case 2:
% 171.71/26.28  | | | 
% 171.71/26.28  | | |   (220)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 171.71/26.28  | | | 
% 171.71/26.28  | | | BETA: splitting (220) gives:
% 171.71/26.28  | | | 
% 171.71/26.28  | | | Case 1:
% 171.71/26.28  | | | | 
% 171.71/26.28  | | | |   (221)  all_56_2 = e0
% 171.71/26.28  | | | | 
% 171.71/26.28  | | | | COMBINE_EQS: (111), (221) imply:
% 171.71/26.28  | | | |   (222)  all_52_1 = e0
% 171.71/26.28  | | | | 
% 171.71/26.28  | | | | REDUCE: (195), (222) imply:
% 171.71/26.28  | | | |   (223)  $false
% 171.71/26.28  | | | | 
% 171.71/26.28  | | | | CLOSE: (223) is inconsistent.
% 171.71/26.28  | | | | 
% 171.71/26.28  | | | Case 2:
% 171.71/26.28  | | | | 
% 171.71/26.28  | | | |   (224)  all_56_6 = e0 | all_56_12 = e0
% 171.71/26.28  | | | | 
% 171.71/26.28  | | | | BETA: splitting (224) gives:
% 171.71/26.28  | | | | 
% 171.71/26.28  | | | | Case 1:
% 171.71/26.28  | | | | | 
% 171.71/26.28  | | | | |   (225)  all_56_6 = e0
% 171.71/26.28  | | | | | 
% 171.71/26.28  | | | | | COMBINE_EQS: (144), (225) imply:
% 171.71/26.28  | | | | |   (226)  all_52_2 = e0
% 171.71/26.28  | | | | | 
% 171.71/26.28  | | | | | COMBINE_EQS: (101), (226) imply:
% 171.71/26.28  | | | | |   (227)  all_58_18 = e0
% 171.71/26.28  | | | | | 
% 171.71/26.28  | | | | | REDUCE: (157), (226) imply:
% 171.71/26.28  | | | | |   (228)   ~ (all_52_3 = e0)
% 171.71/26.28  | | | | | 
% 171.71/26.28  | | | | | REDUCE: (78), (226) imply:
% 171.71/26.28  | | | | |   (229)   ~ (all_52_6 = e0)
% 171.71/26.28  | | | | | 
% 171.71/26.28  | | | | | SIMP: (229) implies:
% 171.71/26.28  | | | | |   (230)   ~ (all_52_6 = e0)
% 171.71/26.28  | | | | | 
% 171.71/26.28  | | | | | REDUCE: (164), (226) imply:
% 171.71/26.28  | | | | |   (231)   ~ (all_52_14 = e0)
% 171.71/26.28  | | | | | 
% 171.71/26.28  | | | | | SIMP: (231) implies:
% 171.71/26.28  | | | | |   (232)   ~ (all_52_14 = e0)
% 171.71/26.28  | | | | | 
% 171.71/26.28  | | | | | REDUCE: (14), (226) imply:
% 171.71/26.28  | | | | |   (233)   ~ (all_6_2 = e0)
% 171.71/26.28  | | | | | 
% 171.71/26.28  | | | | | SIMP: (233) implies:
% 171.71/26.28  | | | | |   (234)   ~ (all_6_2 = e0)
% 171.71/26.28  | | | | | 
% 171.71/26.28  | | | | | BETA: splitting (103) gives:
% 171.71/26.28  | | | | | 
% 171.71/26.28  | | | | | Case 1:
% 171.71/26.28  | | | | | | 
% 171.71/26.28  | | | | | |   (235)  all_56_1 = e0
% 171.71/26.28  | | | | | | 
% 171.71/26.28  | | | | | | COMBINE_EQS: (4), (235) imply:
% 171.71/26.28  | | | | | |   (236)  all_52_4 = e0
% 171.71/26.28  | | | | | | 
% 171.71/26.28  | | | | | | COMBINE_EQS: (130), (236) imply:
% 171.71/26.28  | | | | | |   (237)  all_58_20 = e0
% 171.71/26.28  | | | | | | 
% 171.71/26.28  | | | | | | REDUCE: (83), (236) imply:
% 171.71/26.28  | | | | | |   (238)   ~ (all_52_7 = e0)
% 171.71/26.28  | | | | | | 
% 171.71/26.28  | | | | | | SIMP: (238) implies:
% 171.71/26.28  | | | | | |   (239)   ~ (all_52_7 = e0)
% 171.71/26.28  | | | | | | 
% 171.71/26.28  | | | | | | REDUCE: (16), (236) imply:
% 171.71/26.28  | | | | | |   (240)   ~ (all_4_2 = e0)
% 171.71/26.28  | | | | | | 
% 171.71/26.28  | | | | | | REDUCE: (70), (236) imply:
% 171.71/26.28  | | | | | |   (241)  op(e3, e2) = e0
% 171.71/26.28  | | | | | | 
% 171.71/26.28  | | | | | | REF_CLOSE: (5), (6), (12), (13), (17), (19), (20), (23), (26), (29),
% 171.71/26.28  | | | | | |            (32), (36), (39), (40), (41), (43), (46), (47), (48),
% 171.71/26.28  | | | | | |            (49), (51), (53), (57), (60), (61), (63), (64), (65),
% 171.71/26.28  | | | | | |            (67), (71), (74), (76), (77), (82), (84), (85), (92),
% 171.71/26.28  | | | | | |            (93), (94), (97), (98), (99), (102), (104), (105), (111),
% 171.71/26.28  | | | | | |            (112), (114), (116), (117), (119), (122), (123), (125),
% 171.71/26.28  | | | | | |            (126), (127), (134), (138), (140), (141), (142), (145),
% 171.71/26.28  | | | | | |            (148), (149), (150), (151), (153), (154), (159), (162),
% 171.71/26.28  | | | | | |            (165), (166), (167), (168), (170), (171), (175), (178),
% 171.71/26.28  | | | | | |            (179), (180), (183), (184), (188), (193), (194), (195),
% 171.71/26.28  | | | | | |            (199), (225), (227), (234), (235), (237), (239), (241)
% 171.71/26.28  | | | | | |            are inconsistent by sub-proof #384.
% 171.71/26.28  | | | | | | 
% 171.71/26.28  | | | | | Case 2:
% 171.71/26.28  | | | | | | 
% 171.71/26.28  | | | | | |   (242)   ~ (all_56_1 = e0)
% 171.71/26.28  | | | | | |   (243)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 171.71/26.28  | | | | | | 
% 171.71/26.28  | | | | | | REDUCE: (4), (242) imply:
% 171.71/26.28  | | | | | |   (244)   ~ (all_52_4 = e0)
% 171.71/26.28  | | | | | | 
% 171.71/26.28  | | | | | | REF_CLOSE: (1), (4), (6), (8), (11), (12), (13), (16), (17), (19),
% 171.71/26.28  | | | | | |            (22), (23), (24), (26), (27), (29), (30), (31), (32),
% 171.71/26.28  | | | | | |            (35), (36), (38), (43), (44), (45), (46), (48), (49),
% 171.71/26.28  | | | | | |            (50), (51), (53), (54), (55), (56), (57), (60), (64),
% 171.71/26.28  | | | | | |            (65), (66), (67), (68), (70), (73), (74), (75), (76),
% 171.71/26.28  | | | | | |            (77), (82), (84), (85), (88), (90), (91), (92), (93),
% 171.71/26.28  | | | | | |            (94), (95), (96), (98), (102), (104), (105), (106),
% 171.71/26.28  | | | | | |            (108), (109), (110), (111), (112), (114), (116), (117),
% 171.71/26.28  | | | | | |            (119), (121), (122), (123), (124), (125), (128), (131),
% 171.71/26.28  | | | | | |            (139), (141), (143), (145), (146), (147), (148), (149),
% 171.71/26.28  | | | | | |            (150), (152), (153), (154), (155), (156), (158), (159),
% 171.71/26.28  | | | | | |            (160), (161), (162), (163), (165), (166), (167), (168),
% 171.71/26.28  | | | | | |            (170), (171), (172), (175), (177), (178), (180), (181),
% 171.71/26.28  | | | | | |            (182), (183), (185), (186), (188), (189), (191), (193),
% 171.71/26.28  | | | | | |            (194), (195), (198), (199), (225), (227), (230), (232),
% 171.71/26.28  | | | | | |            (234), (243), (244) are inconsistent by sub-proof #192.
% 171.71/26.28  | | | | | | 
% 171.71/26.28  | | | | | End of split
% 171.71/26.28  | | | | | 
% 171.71/26.28  | | | | Case 2:
% 171.71/26.28  | | | | | 
% 171.71/26.28  | | | | |   (245)  all_56_12 = e0
% 171.71/26.28  | | | | | 
% 171.71/26.28  | | | | | REF_CLOSE: (6), (199), (245) are inconsistent by sub-proof #919.
% 171.71/26.28  | | | | | 
% 171.71/26.28  | | | | End of split
% 171.71/26.28  | | | | 
% 171.71/26.28  | | | End of split
% 171.71/26.28  | | | 
% 171.71/26.28  | | End of split
% 171.71/26.28  | | 
% 171.71/26.28  | End of split
% 171.71/26.28  | 
% 171.71/26.28  End of proof
% 171.71/26.28  
% 171.71/26.28  Sub-proof #180 shows that the following formulas are inconsistent:
% 171.71/26.28  ----------------------------------------------------------------
% 171.71/26.28    (1)  all_54_8 = all_52_2
% 171.71/26.28    (2)  all_56_1 = all_52_4
% 171.71/26.28    (3)  all_56_12 = all_52_3
% 171.71/26.28    (4)  all_56_15 = e0 | ((all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 171.71/26.28           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0))
% 171.71/26.28    (5)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.71/26.28    (6)  op(e1, all_52_14) = all_58_11
% 171.71/26.28    (7)   ~ (all_10_2 = e0)
% 171.71/26.28    (8)   ~ (e3 = e1)
% 171.71/26.28    (9)  all_58_23 = all_52_7
% 171.71/26.28    (10)   ~ (all_14_1 = e1)
% 171.71/26.28    (11)   ~ (all_52_2 = all_6_2)
% 171.71/26.28    (12)   ~ (all_52_4 = all_4_2)
% 171.71/26.28    (13)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.71/26.28    (14)  all_56_5 = all_52_9
% 171.71/26.28    (15)   ~ (all_52_12 = all_6_2)
% 171.71/26.28    (16)   ~ (all_52_6 = all_4_2)
% 171.71/26.28    (17)  all_56_11 = all_14_1
% 171.71/26.28    (18)  op(e1, e0) = all_52_14
% 171.71/26.28    (19)   ~ (all_52_13 = e1)
% 171.71/26.28    (20)  op(all_14_1, e1) = all_14_0
% 171.71/26.28    (21)  all_48_0 = all_14_0
% 171.71/26.28    (22)  all_56_14 = all_52_11
% 171.71/26.28    (23)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 171.71/26.28    (24)   ~ (all_52_13 = all_4_2)
% 171.71/26.28    (25)  op(e0, all_52_3) = all_58_12
% 171.71/26.28    (26)  all_56_8 = all_10_2
% 171.71/26.28    (27)   ~ (all_52_13 = all_14_1)
% 171.71/26.28    (28)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.71/26.28    (29)  all_58_26 = all_10_2
% 171.71/26.28    (30)   ~ (all_52_4 = all_52_6)
% 171.71/26.28    (31)  all_58_31 = all_14_2
% 171.71/26.28    (32)   ~ (all_52_3 = all_6_2)
% 171.71/26.28    (33)   ~ (all_52_6 = all_14_1)
% 171.71/26.28    (34)   ~ (all_52_1 = all_6_2)
% 171.71/26.28    (35)   ~ (all_52_11 = e1)
% 171.71/26.28    (36)  all_56_11 = all_52_14
% 171.71/26.28    (37)  op(e2, e1) = all_52_9
% 171.71/26.28    (38)   ~ (all_52_6 = all_52_7)
% 171.71/26.28    (39)   ~ (all_4_1 = e0)
% 171.71/26.28    (40)  all_56_0 = all_6_2
% 171.71/26.29    (41)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.71/26.29    (42)  all_58_30 = all_52_14
% 171.71/26.29    (43)  all_58_27 = all_52_11
% 171.71/26.29    (44)  op(e3, e2) = all_52_4
% 171.71/26.29    (45)   ~ (all_48_0 = e3) |  ~ (all_48_1 = e2)
% 171.71/26.29    (46)  op(all_4_2, e2) = all_4_1
% 171.71/26.29    (47)  all_58_17 = all_52_1
% 171.71/26.29    (48)  op(e3, e1) = all_52_8
% 171.71/26.29    (49)  op(e2, all_4_2) = all_58_5
% 171.71/26.29    (50)  all_58_19 = all_52_3
% 171.71/26.29    (51)  all_56_9 = all_52_12
% 171.71/26.29    (52)   ~ (all_52_2 = all_52_6)
% 171.71/26.29    (53)   ~ (all_52_12 = e1)
% 171.71/26.29    (54)  op(e2, e2) = all_4_2
% 171.71/26.29    (55)   ~ (all_52_12 = all_14_1)
% 171.71/26.29    (56)   ~ (e3 = e2)
% 171.71/26.29    (57)  all_58_30 = all_14_1
% 171.71/26.29    (58)  op(e3, all_52_8) = all_58_2
% 171.71/26.29    (59)   ~ (all_52_4 = all_52_7)
% 171.71/26.29    (60)   ~ (e2 = e1)
% 171.71/26.29    (61)   ~ (all_52_7 = e1)
% 171.71/26.29    (62)  op(e0, e1) = all_52_11
% 171.71/26.29    (63)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 171.71/26.29    (64)   ~ (all_52_1 = all_4_2)
% 171.71/26.29    (65)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.71/26.29    (66)  all_58_18 = all_52_2
% 171.71/26.29    (67)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.71/26.29    (68)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 171.71/26.29    (69)  all_58_16 = all_6_2
% 171.71/26.29    (70)  all_56_13 = all_52_7
% 171.71/26.29    (71)  op(e0, e3) = all_52_3
% 171.71/26.29    (72)  all_56_2 = all_52_1
% 171.71/26.29    (73)   ~ (all_14_0 = e1)
% 171.71/26.29    (74)   ~ (e3 = e0)
% 171.71/26.29    (75)  all_54_11 = all_14_1
% 171.71/26.29    (76)  all_58_29 = all_52_13
% 171.71/26.29    (77)   ~ (all_52_1 = all_52_2)
% 171.71/26.29    (78)   ~ (all_4_2 = e0)
% 171.71/26.29    (79)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 171.71/26.29    (80)   ~ (all_52_8 = all_10_2)
% 171.71/26.29    (81)  all_56_4 = all_52_8
% 171.71/26.29    (82)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.71/26.29    (83)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 171.71/26.29    (84)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 171.71/26.29    (85)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 171.71/26.29    (86)  all_58_20 = all_52_4
% 171.71/26.29    (87)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 171.71/26.29    (88)   ~ (all_52_2 = all_14_1)
% 171.71/26.29    (89)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 171.71/26.29    (90)  all_56_6 = all_52_2
% 171.71/26.29    (91)   ~ (all_52_1 = all_52_9)
% 171.71/26.29    (92)   ~ (all_52_7 = e0)
% 171.71/26.29    (93)  all_58_24 = all_52_8
% 171.71/26.29    (94)   ~ (all_52_9 = all_52_11)
% 171.71/26.29    (95)  all_58_22 = all_52_6
% 171.71/26.29    (96)   ~ (all_52_4 = all_52_12)
% 171.71/26.29    (97)  all_56_3 = all_4_2
% 171.71/26.29    (98)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 171.71/26.29    (99)  all_54_0 = all_6_2
% 171.71/26.29    (100)   ~ (all_52_2 = all_52_3)
% 171.71/26.29    (101)   ~ (all_52_4 = all_52_8)
% 171.71/26.29    (102)   ~ (all_52_14 = all_14_2)
% 171.71/26.29    (103)  all_58_25 = all_52_9
% 171.71/26.29    (104)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.29             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.29    (105)  all_54_12 = all_52_3
% 171.71/26.29    (106)   ~ (all_52_2 = all_52_14)
% 171.71/26.29    (107)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.71/26.29    (108)  all_58_21 = all_4_2
% 171.71/26.29    (109)  all_56_10 = all_52_13
% 171.71/26.29    (110)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.71/26.29    (111)   ~ (e2 = e0)
% 171.71/26.29    (112)   ~ (all_14_1 = all_10_2)
% 171.71/26.29    (113)   ~ (all_52_1 = all_52_3)
% 171.71/26.29    (114)  all_58_28 = all_52_12
% 171.71/26.29    (115)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 171.71/26.29    (116)   ~ (e1 = e0)
% 171.71/26.29    (117)  all_56_7 = all_52_6
% 171.71/26.29    (118)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 171.71/26.29             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 171.71/26.29             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 171.71/26.29             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 171.71/26.29             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 171.71/26.29             (all_58_15 = e0))
% 171.71/26.29    (119)  all_58_31 = e1
% 171.71/26.29    (120)  all_54_5 = all_4_2
% 171.71/26.29    (121)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 171.71/26.29    (122)  all_54_7 = all_52_13
% 171.71/26.29    (123)   ~ (all_52_2 = all_10_2)
% 171.71/26.29    (124)  op(e1, e2) = all_52_6
% 171.71/26.29    (125)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 171.71/26.29    (126)  all_48_1 = all_14_1
% 171.71/26.29    (127)  all_56_15 = e1
% 171.71/26.29    (128)   ~ (all_52_12 = all_52_13)
% 171.71/26.29  
% 171.71/26.29  Begin of proof
% 171.71/26.29  | 
% 171.71/26.29  | BETA: splitting (68) gives:
% 171.71/26.29  | 
% 171.71/26.29  | Case 1:
% 171.71/26.29  | | 
% 171.71/26.29  | |   (129)  all_56_1 = e0
% 171.71/26.29  | | 
% 171.71/26.29  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 171.71/26.29  | |            (14), (15), (16), (17), (18), (19), (20), (24), (25), (26), (27),
% 171.71/26.29  | |            (28), (29), (30), (31), (32), (33), (34), (36), (39), (40), (41),
% 171.71/26.29  | |            (42), (43), (44), (46), (47), (48), (49), (50), (51), (52), (53),
% 171.71/26.29  | |            (54), (56), (57), (58), (59), (60), (62), (64), (65), (66), (67),
% 171.71/26.29  | |            (69), (71), (72), (74), (76), (80), (81), (82), (83), (84), (85),
% 171.71/26.29  | |            (86), (87), (88), (89), (90), (91), (93), (94), (95), (96), (97),
% 171.71/26.29  | |            (98), (99), (100), (102), (103), (104), (105), (106), (107),
% 171.71/26.29  | |            (108), (109), (110), (111), (112), (113), (114), (116), (117),
% 171.71/26.29  | |            (118), (119), (120), (121), (125), (127), (128), (129) are
% 171.71/26.29  | |            inconsistent by sub-proof #183.
% 171.71/26.29  | | 
% 171.71/26.29  | Case 2:
% 171.71/26.29  | | 
% 171.71/26.29  | |   (130)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 171.71/26.29  | | 
% 171.71/26.29  | | BETA: splitting (130) gives:
% 171.71/26.29  | | 
% 171.71/26.29  | | Case 1:
% 171.71/26.29  | | | 
% 171.71/26.29  | | |   (131)  all_56_3 = e0
% 171.71/26.29  | | | 
% 171.71/26.29  | | | COMBINE_EQS: (97), (131) imply:
% 171.71/26.29  | | |   (132)  all_4_2 = e0
% 171.71/26.29  | | | 
% 171.71/26.29  | | | REDUCE: (78), (132) imply:
% 171.71/26.29  | | |   (133)  $false
% 171.71/26.29  | | | 
% 171.71/26.29  | | | CLOSE: (133) is inconsistent.
% 171.71/26.29  | | | 
% 171.71/26.29  | | Case 2:
% 171.71/26.29  | | | 
% 171.71/26.29  | | |   (134)  all_56_7 = e0 | all_56_13 = e0
% 171.71/26.29  | | | 
% 171.71/26.29  | | | BETA: splitting (134) gives:
% 171.71/26.29  | | | 
% 171.71/26.29  | | | Case 1:
% 171.71/26.29  | | | | 
% 171.71/26.29  | | | |   (135)  all_56_7 = e0
% 171.71/26.29  | | | | 
% 171.71/26.29  | | | | COMBINE_EQS: (117), (135) imply:
% 171.71/26.29  | | | |   (136)  all_52_6 = e0
% 171.71/26.29  | | | | 
% 171.71/26.29  | | | | COMBINE_EQS: (95), (136) imply:
% 171.71/26.29  | | | |   (137)  all_58_22 = e0
% 171.71/26.29  | | | | 
% 171.71/26.29  | | | | REDUCE: (52), (136) imply:
% 171.71/26.29  | | | |   (138)   ~ (all_52_2 = e0)
% 171.71/26.29  | | | | 
% 171.71/26.29  | | | | REDUCE: (38), (136) imply:
% 171.71/26.29  | | | |   (139)   ~ (all_52_7 = e0)
% 171.71/26.29  | | | | 
% 171.71/26.29  | | | | REDUCE: (33), (136) imply:
% 171.71/26.29  | | | |   (140)   ~ (all_14_1 = e0)
% 171.71/26.29  | | | | 
% 171.71/26.29  | | | | SIMP: (140) implies:
% 171.71/26.29  | | | |   (141)   ~ (all_14_1 = e0)
% 171.71/26.29  | | | | 
% 171.71/26.29  | | | | REDUCE: (124), (136) imply:
% 171.71/26.29  | | | |   (142)  op(e1, e2) = e0
% 171.71/26.29  | | | | 
% 171.71/26.29  | | | | BETA: splitting (23) gives:
% 171.71/26.29  | | | | 
% 171.71/26.29  | | | | Case 1:
% 171.71/26.29  | | | | | 
% 171.71/26.29  | | | | |   (143)  all_54_11 = e0
% 171.71/26.29  | | | | | 
% 171.71/26.29  | | | | | COMBINE_EQS: (75), (143) imply:
% 171.71/26.29  | | | | |   (144)  all_14_1 = e0
% 171.71/26.29  | | | | | 
% 171.71/26.29  | | | | | REDUCE: (141), (144) imply:
% 171.71/26.29  | | | | |   (145)  $false
% 171.71/26.29  | | | | | 
% 171.71/26.29  | | | | | CLOSE: (145) is inconsistent.
% 171.71/26.29  | | | | | 
% 171.71/26.29  | | | | Case 2:
% 171.71/26.29  | | | | | 
% 171.71/26.29  | | | | |   (146)   ~ (all_54_11 = e0)
% 171.71/26.29  | | | | |   (147)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 171.71/26.29  | | | | | 
% 171.71/26.29  | | | | | BETA: splitting (63) gives:
% 171.71/26.29  | | | | | 
% 171.71/26.29  | | | | | Case 1:
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | |   (148)  all_54_7 = e0
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | | COMBINE_EQS: (122), (148) imply:
% 171.71/26.29  | | | | | |   (149)  all_52_13 = e0
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | | COMBINE_EQS: (109), (149) imply:
% 171.71/26.29  | | | | | |   (150)  all_56_10 = e0
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | | COMBINE_EQS: (76), (149) imply:
% 171.71/26.29  | | | | | |   (151)  all_58_29 = e0
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | | REDUCE: (128), (149) imply:
% 171.71/26.29  | | | | | |   (152)   ~ (all_52_12 = e0)
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | | REDUCE: (19), (149) imply:
% 171.71/26.29  | | | | | |   (153)   ~ (e1 = e0)
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | | BETA: splitting (28) gives:
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | | Case 1:
% 171.71/26.29  | | | | | | | 
% 171.71/26.29  | | | | | | |   (154)  all_58_31 = e0
% 171.71/26.29  | | | | | | | 
% 171.71/26.29  | | | | | | | COMBINE_EQS: (119), (154) imply:
% 171.71/26.29  | | | | | | |   (155)  e1 = e0
% 171.71/26.29  | | | | | | | 
% 171.71/26.29  | | | | | | | REDUCE: (116), (155) imply:
% 171.71/26.29  | | | | | | |   (156)  $false
% 171.71/26.29  | | | | | | | 
% 171.71/26.29  | | | | | | | CLOSE: (156) is inconsistent.
% 171.71/26.29  | | | | | | | 
% 171.71/26.29  | | | | | | Case 2:
% 171.71/26.29  | | | | | | | 
% 171.71/26.29  | | | | | | |   (157)   ~ (all_58_31 = e0)
% 171.71/26.29  | | | | | | |   (158)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 171.71/26.29  | | | | | | | 
% 171.71/26.29  | | | | | | | BETA: splitting (158) gives:
% 171.71/26.29  | | | | | | | 
% 171.71/26.29  | | | | | | | Case 1:
% 171.71/26.29  | | | | | | | | 
% 171.71/26.29  | | | | | | | |   (159)  all_58_30 = e1
% 171.71/26.29  | | | | | | | | 
% 171.71/26.29  | | | | | | | | COMBINE_EQS: (57), (159) imply:
% 171.71/26.29  | | | | | | | |   (160)  all_14_1 = e1
% 171.71/26.29  | | | | | | | | 
% 171.71/26.29  | | | | | | | | REDUCE: (10), (160) imply:
% 171.71/26.29  | | | | | | | |   (161)  $false
% 171.71/26.29  | | | | | | | | 
% 171.71/26.29  | | | | | | | | CLOSE: (161) is inconsistent.
% 171.71/26.29  | | | | | | | | 
% 171.71/26.29  | | | | | | | Case 2:
% 171.71/26.29  | | | | | | | | 
% 171.71/26.29  | | | | | | | |   (162)   ~ (all_58_30 = e1)
% 171.71/26.29  | | | | | | | |   (163)  all_58_28 = e3 | all_58_29 = e2
% 171.71/26.29  | | | | | | | | 
% 171.71/26.29  | | | | | | | | REF_CLOSE: (1), (2), (9), (10), (14), (20), (21), (22), (26),
% 171.71/26.29  | | | | | | | |            (35), (37), (45), (55), (60), (61), (70), (72), (73),
% 171.71/26.29  | | | | | | | |            (75), (77), (79), (81), (84), (86), (88), (89), (92),
% 171.71/26.29  | | | | | | | |            (96), (97), (101), (104), (108), (111), (114), (115),
% 171.71/26.29  | | | | | | | |            (116), (123), (125), (126), (135), (137), (138),
% 171.71/26.29  | | | | | | | |            (147), (150), (151), (152), (163) are inconsistent by
% 171.71/26.29  | | | | | | | |            sub-proof #182.
% 171.71/26.29  | | | | | | | | 
% 171.71/26.29  | | | | | | | End of split
% 171.71/26.29  | | | | | | | 
% 171.71/26.29  | | | | | | End of split
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | Case 2:
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | |   (164)   ~ (all_54_7 = e0)
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | | REDUCE: (122), (164) imply:
% 171.71/26.29  | | | | | |   (165)   ~ (all_52_13 = e0)
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | | BETA: splitting (4) gives:
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | | Case 1:
% 171.71/26.29  | | | | | | | 
% 171.71/26.29  | | | | | | |   (166)  all_56_15 = e0
% 171.71/26.29  | | | | | | | 
% 171.71/26.29  | | | | | | | REF_CLOSE: (116), (127), (166) are inconsistent by sub-proof #657.
% 171.71/26.29  | | | | | | | 
% 171.71/26.29  | | | | | | Case 2:
% 171.71/26.29  | | | | | | | 
% 171.71/26.29  | | | | | | |   (167)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 171.71/26.29  | | | | | | |          (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0)
% 171.71/26.29  | | | | | | | 
% 171.71/26.29  | | | | | | | ALPHA: (167) implies:
% 171.71/26.29  | | | | | | |   (168)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 171.71/26.29  | | | | | | | 
% 171.71/26.29  | | | | | | | BETA: splitting (168) gives:
% 171.71/26.29  | | | | | | | 
% 171.71/26.29  | | | | | | | Case 1:
% 171.71/26.29  | | | | | | | | 
% 171.71/26.29  | | | | | | | |   (169)  all_56_9 = e0
% 171.71/26.29  | | | | | | | | 
% 171.71/26.29  | | | | | | | | COMBINE_EQS: (51), (169) imply:
% 171.71/26.29  | | | | | | | |   (170)  all_52_12 = e0
% 171.71/26.29  | | | | | | | | 
% 171.71/26.29  | | | | | | | | SIMP: (170) implies:
% 171.71/26.29  | | | | | | | |   (171)  all_52_12 = e0
% 171.71/26.29  | | | | | | | | 
% 171.71/26.29  | | | | | | | | COMBINE_EQS: (114), (171) imply:
% 171.71/26.29  | | | | | | | |   (172)  all_58_28 = e0
% 171.71/26.29  | | | | | | | | 
% 171.71/26.29  | | | | | | | | REDUCE: (53), (171) imply:
% 171.71/26.29  | | | | | | | |   (173)   ~ (e1 = e0)
% 171.71/26.29  | | | | | | | | 
% 171.71/26.29  | | | | | | | | BETA: splitting (28) gives:
% 171.71/26.29  | | | | | | | | 
% 171.71/26.29  | | | | | | | | Case 1:
% 171.71/26.29  | | | | | | | | | 
% 171.71/26.29  | | | | | | | | |   (174)  all_58_31 = e0
% 171.71/26.29  | | | | | | | | | 
% 171.71/26.29  | | | | | | | | | COMBINE_EQS: (119), (174) imply:
% 171.71/26.29  | | | | | | | | |   (175)  e1 = e0
% 171.71/26.29  | | | | | | | | | 
% 171.71/26.29  | | | | | | | | | REDUCE: (116), (175) imply:
% 171.71/26.29  | | | | | | | | |   (176)  $false
% 171.71/26.29  | | | | | | | | | 
% 171.71/26.29  | | | | | | | | | CLOSE: (176) is inconsistent.
% 171.71/26.29  | | | | | | | | | 
% 171.71/26.29  | | | | | | | | Case 2:
% 171.71/26.29  | | | | | | | | | 
% 171.71/26.29  | | | | | | | | |   (177)   ~ (all_58_31 = e0)
% 171.71/26.29  | | | | | | | | |   (178)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 171.71/26.29  | | | | | | | | | 
% 171.71/26.29  | | | | | | | | | BETA: splitting (178) gives:
% 171.71/26.29  | | | | | | | | | 
% 171.71/26.29  | | | | | | | | | Case 1:
% 171.71/26.29  | | | | | | | | | | 
% 171.71/26.29  | | | | | | | | | |   (179)  all_58_30 = e1
% 171.71/26.29  | | | | | | | | | | 
% 171.71/26.29  | | | | | | | | | | COMBINE_EQS: (57), (179) imply:
% 171.71/26.29  | | | | | | | | | |   (180)  all_14_1 = e1
% 171.71/26.29  | | | | | | | | | | 
% 171.71/26.29  | | | | | | | | | | REDUCE: (10), (180) imply:
% 171.71/26.29  | | | | | | | | | |   (181)  $false
% 171.71/26.29  | | | | | | | | | | 
% 171.71/26.29  | | | | | | | | | | CLOSE: (181) is inconsistent.
% 171.71/26.29  | | | | | | | | | | 
% 171.71/26.29  | | | | | | | | | Case 2:
% 171.71/26.29  | | | | | | | | | | 
% 171.71/26.29  | | | | | | | | | |   (182)  all_58_28 = e3 | all_58_29 = e2
% 171.71/26.29  | | | | | | | | | | 
% 171.71/26.29  | | | | | | | | | | REF_CLOSE: (9), (12), (24), (39), (46), (74), (76), (86),
% 171.71/26.29  | | | | | | | | | |            (89), (92), (104), (107), (108), (116), (120),
% 171.71/26.29  | | | | | | | | | |            (137), (142), (172), (182) are inconsistent by
% 171.71/26.29  | | | | | | | | | |            sub-proof #181.
% 171.71/26.29  | | | | | | | | | | 
% 171.71/26.29  | | | | | | | | | End of split
% 171.71/26.29  | | | | | | | | | 
% 171.71/26.29  | | | | | | | | End of split
% 171.71/26.29  | | | | | | | | 
% 171.71/26.29  | | | | | | | Case 2:
% 171.71/26.29  | | | | | | | | 
% 171.71/26.29  | | | | | | | |   (183)  all_56_10 = e0 | all_56_11 = e0
% 171.71/26.29  | | | | | | | | 
% 171.71/26.29  | | | | | | | | REF_CLOSE: (17), (109), (141), (165), (183) are inconsistent by
% 171.71/26.29  | | | | | | | |            sub-proof #298.
% 171.71/26.29  | | | | | | | | 
% 171.71/26.29  | | | | | | | End of split
% 171.71/26.29  | | | | | | | 
% 171.71/26.29  | | | | | | End of split
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | End of split
% 171.71/26.29  | | | | | 
% 171.71/26.29  | | | | End of split
% 171.71/26.29  | | | | 
% 171.71/26.29  | | | Case 2:
% 171.71/26.29  | | | | 
% 171.71/26.29  | | | |   (184)  all_56_13 = e0
% 171.71/26.29  | | | | 
% 171.71/26.29  | | | | REF_CLOSE: (70), (92), (184) are inconsistent by sub-proof #942.
% 171.71/26.29  | | | | 
% 171.71/26.29  | | | End of split
% 171.71/26.29  | | | 
% 171.71/26.29  | | End of split
% 171.71/26.29  | | 
% 171.71/26.29  | End of split
% 171.71/26.29  | 
% 171.71/26.29  End of proof
% 171.71/26.29  
% 171.71/26.29  Sub-proof #181 shows that the following formulas are inconsistent:
% 171.71/26.29  ----------------------------------------------------------------
% 171.71/26.29    (1)  all_58_23 = all_52_7
% 171.71/26.29    (2)   ~ (all_52_4 = all_4_2)
% 171.71/26.29    (3)   ~ (all_52_13 = all_4_2)
% 171.71/26.29    (4)   ~ (all_4_1 = e0)
% 171.71/26.29    (5)  op(all_4_2, e2) = all_4_1
% 171.71/26.29    (6)  all_58_28 = e3 | all_58_29 = e2
% 171.71/26.29    (7)  all_58_22 = e0
% 171.71/26.29    (8)  op(e1, e2) = e0
% 171.71/26.29    (9)  all_58_28 = e0
% 171.71/26.29    (10)   ~ (e3 = e0)
% 171.71/26.29    (11)  all_58_29 = all_52_13
% 171.71/26.29    (12)  all_58_20 = all_52_4
% 171.71/26.29    (13)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 171.71/26.29    (14)   ~ (all_52_7 = e0)
% 171.71/26.29    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.29            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.29    (16)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.71/26.29    (17)  all_58_21 = all_4_2
% 171.71/26.29    (18)   ~ (e1 = e0)
% 171.71/26.29    (19)  all_54_5 = all_4_2
% 171.71/26.29  
% 171.71/26.29  Begin of proof
% 171.71/26.29  | 
% 171.71/26.29  | BETA: splitting (6) gives:
% 171.71/26.29  | 
% 171.71/26.29  | Case 1:
% 171.71/26.29  | | 
% 171.71/26.29  | |   (20)  all_58_29 = e2
% 171.71/26.29  | | 
% 171.71/26.29  | | COMBINE_EQS: (11), (20) imply:
% 171.71/26.29  | |   (21)  all_52_13 = e2
% 171.71/26.29  | | 
% 171.71/26.29  | | REDUCE: (3), (21) imply:
% 171.71/26.29  | |   (22)   ~ (all_4_2 = e2)
% 171.71/26.29  | | 
% 171.71/26.29  | | SIMP: (22) implies:
% 171.71/26.29  | |   (23)   ~ (all_4_2 = e2)
% 171.71/26.29  | | 
% 171.71/26.29  | | BETA: splitting (13) gives:
% 171.71/26.29  | | 
% 171.71/26.29  | | Case 1:
% 171.71/26.29  | | | 
% 171.71/26.29  | | |   (24)  all_58_23 = e0
% 171.71/26.29  | | | 
% 171.71/26.29  | | | COMBINE_EQS: (1), (24) imply:
% 171.71/26.29  | | |   (25)  all_52_7 = e0
% 171.71/26.29  | | | 
% 171.71/26.29  | | | REDUCE: (14), (25) imply:
% 171.71/26.29  | | |   (26)  $false
% 171.71/26.29  | | | 
% 171.71/26.29  | | | CLOSE: (26) is inconsistent.
% 171.71/26.29  | | | 
% 171.71/26.29  | | Case 2:
% 171.71/26.29  | | | 
% 171.71/26.29  | | |   (27)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 171.71/26.29  | | | 
% 171.71/26.29  | | | BETA: splitting (27) gives:
% 171.71/26.29  | | | 
% 171.71/26.29  | | | Case 1:
% 171.71/26.29  | | | | 
% 171.71/26.29  | | | |   (28)  all_58_22 = e1
% 171.71/26.29  | | | | 
% 171.71/26.29  | | | | REF_CLOSE: (7), (18), (28) are inconsistent by sub-proof #923.
% 171.71/26.29  | | | | 
% 171.71/26.29  | | | Case 2:
% 171.71/26.29  | | | | 
% 171.71/26.29  | | | |   (29)  all_58_20 = e3 | all_58_21 = e2
% 171.71/26.29  | | | | 
% 171.71/26.29  | | | | BETA: splitting (29) gives:
% 171.71/26.29  | | | | 
% 171.71/26.29  | | | | Case 1:
% 171.71/26.29  | | | | | 
% 171.71/26.29  | | | | |   (30)  all_58_21 = e2
% 171.71/26.29  | | | | | 
% 171.71/26.29  | | | | | COMBINE_EQS: (17), (30) imply:
% 171.71/26.29  | | | | |   (31)  all_4_2 = e2
% 171.71/26.29  | | | | | 
% 171.71/26.29  | | | | | REDUCE: (23), (31) imply:
% 171.71/26.29  | | | | |   (32)  $false
% 171.71/26.29  | | | | | 
% 171.71/26.29  | | | | | CLOSE: (32) is inconsistent.
% 171.71/26.29  | | | | | 
% 171.71/26.29  | | | | Case 2:
% 171.71/26.29  | | | | | 
% 171.71/26.29  | | | | |   (33)  all_58_20 = e3
% 171.71/26.29  | | | | |   (34)   ~ (all_58_21 = e2)
% 171.71/26.29  | | | | | 
% 171.71/26.29  | | | | | COMBINE_EQS: (12), (33) imply:
% 171.71/26.29  | | | | |   (35)  all_52_4 = e3
% 171.71/26.29  | | | | | 
% 171.71/26.29  | | | | | REDUCE: (2), (35) imply:
% 171.71/26.29  | | | | |   (36)   ~ (all_4_2 = e3)
% 171.71/26.29  | | | | | 
% 171.71/26.29  | | | | | SIMP: (36) implies:
% 171.71/26.29  | | | | |   (37)   ~ (all_4_2 = e3)
% 171.71/26.29  | | | | | 
% 171.71/26.29  | | | | | BETA: splitting (16) gives:
% 171.71/26.29  | | | | | 
% 171.71/26.29  | | | | | Case 1:
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | |   (38)  all_54_5 = e1
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | | COMBINE_EQS: (19), (38) imply:
% 171.71/26.29  | | | | | |   (39)  all_4_2 = e1
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | | SIMP: (39) implies:
% 171.71/26.29  | | | | | |   (40)  all_4_2 = e1
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | | REDUCE: (5), (40) imply:
% 171.71/26.29  | | | | | |   (41)  op(e1, e2) = all_4_1
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | | GROUND_INST: instantiating (15) with e0, all_4_1, e2, e1,
% 171.71/26.29  | | | | | |              simplifying with (8), (41) gives:
% 171.71/26.29  | | | | | |   (42)  all_4_1 = e0
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | | REDUCE: (4), (42) imply:
% 171.71/26.29  | | | | | |   (43)  $false
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | | CLOSE: (43) is inconsistent.
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | Case 2:
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | |   (44)  all_54_5 = e3 | all_54_5 = e2
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | | REF_CLOSE: (19), (23), (37), (44) are inconsistent by sub-proof
% 171.71/26.29  | | | | | |            #959.
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | End of split
% 171.71/26.29  | | | | | 
% 171.71/26.29  | | | | End of split
% 171.71/26.29  | | | | 
% 171.71/26.29  | | | End of split
% 171.71/26.29  | | | 
% 171.71/26.29  | | End of split
% 171.71/26.29  | | 
% 171.71/26.29  | Case 2:
% 171.71/26.29  | | 
% 171.71/26.29  | |   (45)  all_58_28 = e3
% 171.71/26.29  | | 
% 171.71/26.29  | | COMBINE_EQS: (9), (45) imply:
% 171.71/26.29  | |   (46)  e3 = e0
% 171.71/26.29  | | 
% 171.71/26.29  | | REDUCE: (10), (46) imply:
% 171.71/26.29  | |   (47)  $false
% 171.71/26.29  | | 
% 171.71/26.29  | | CLOSE: (47) is inconsistent.
% 171.71/26.29  | | 
% 171.71/26.29  | End of split
% 171.71/26.29  | 
% 171.71/26.29  End of proof
% 171.71/26.29  
% 171.71/26.29  Sub-proof #182 shows that the following formulas are inconsistent:
% 171.71/26.29  ----------------------------------------------------------------
% 171.71/26.29    (1)  all_54_8 = all_52_2
% 171.71/26.29    (2)  all_56_1 = all_52_4
% 171.71/26.29    (3)  all_58_23 = all_52_7
% 171.71/26.29    (4)   ~ (all_14_1 = e1)
% 171.71/26.29    (5)  all_56_5 = all_52_9
% 171.71/26.29    (6)  all_56_10 = e0
% 171.71/26.29    (7)  op(all_14_1, e1) = all_14_0
% 171.71/26.29    (8)  all_48_0 = all_14_0
% 171.71/26.29    (9)  all_56_14 = all_52_11
% 171.71/26.29    (10)  all_56_8 = all_10_2
% 171.71/26.29    (11)   ~ (all_52_11 = e1)
% 171.71/26.29    (12)  op(e2, e1) = all_52_9
% 171.71/26.29    (13)   ~ (all_48_0 = e3) |  ~ (all_48_1 = e2)
% 171.71/26.29    (14)  all_58_28 = e3 | all_58_29 = e2
% 171.71/26.29    (15)  all_58_22 = e0
% 171.71/26.29    (16)   ~ (all_52_12 = all_14_1)
% 171.71/26.29    (17)   ~ (e2 = e1)
% 171.71/26.29    (18)   ~ (all_52_7 = e1)
% 171.71/26.29    (19)   ~ (all_52_2 = e0)
% 171.71/26.29    (20)  all_56_13 = all_52_7
% 171.71/26.29    (21)   ~ (all_52_12 = e0)
% 171.71/26.29    (22)  all_56_2 = all_52_1
% 171.71/26.29    (23)   ~ (all_14_0 = e1)
% 171.71/26.29    (24)  all_54_11 = all_14_1
% 171.71/26.29    (25)   ~ (all_52_1 = all_52_2)
% 171.71/26.29    (26)  all_56_7 = e0
% 171.71/26.29    (27)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 171.71/26.29    (28)  all_56_4 = all_52_8
% 171.71/26.29    (29)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 171.71/26.29    (30)  all_58_20 = all_52_4
% 171.71/26.29    (31)   ~ (all_52_2 = all_14_1)
% 171.71/26.29    (32)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 171.71/26.29    (33)   ~ (all_52_7 = e0)
% 171.71/26.29    (34)   ~ (all_52_4 = all_52_12)
% 171.71/26.29    (35)  all_56_3 = all_4_2
% 171.71/26.29    (36)  all_58_29 = e0
% 171.71/26.29    (37)   ~ (all_52_4 = all_52_8)
% 171.71/26.29    (38)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.29            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.29    (39)  all_58_21 = all_4_2
% 171.71/26.29    (40)   ~ (e2 = e0)
% 171.71/26.29    (41)  all_58_28 = all_52_12
% 171.71/26.29    (42)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 171.71/26.29    (43)   ~ (e1 = e0)
% 171.71/26.29    (44)   ~ (all_52_2 = all_10_2)
% 171.71/26.29    (45)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 171.71/26.29    (46)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 171.71/26.29    (47)  all_48_1 = all_14_1
% 171.71/26.29  
% 171.71/26.29  Begin of proof
% 171.71/26.29  | 
% 171.71/26.29  | BETA: splitting (14) gives:
% 171.71/26.29  | 
% 171.71/26.29  | Case 1:
% 171.71/26.29  | | 
% 171.71/26.29  | |   (48)  all_58_29 = e2
% 171.71/26.29  | | 
% 171.71/26.29  | | REF_CLOSE: (36), (40), (48) are inconsistent by sub-proof #889.
% 171.71/26.29  | | 
% 171.71/26.29  | Case 2:
% 171.71/26.29  | | 
% 171.71/26.29  | |   (49)  all_58_28 = e3
% 171.71/26.29  | | 
% 171.71/26.29  | | COMBINE_EQS: (41), (49) imply:
% 171.71/26.29  | |   (50)  all_52_12 = e3
% 171.71/26.29  | | 
% 171.71/26.29  | | SIMP: (50) implies:
% 171.71/26.29  | |   (51)  all_52_12 = e3
% 171.71/26.29  | | 
% 171.71/26.29  | | REDUCE: (34), (51) imply:
% 171.71/26.29  | |   (52)   ~ (all_52_4 = e3)
% 171.71/26.29  | | 
% 171.71/26.29  | | REDUCE: (16), (51) imply:
% 171.71/26.29  | |   (53)   ~ (all_14_1 = e3)
% 171.71/26.29  | | 
% 171.71/26.29  | | SIMP: (53) implies:
% 171.71/26.29  | |   (54)   ~ (all_14_1 = e3)
% 171.71/26.29  | | 
% 171.71/26.29  | | REDUCE: (21), (51) imply:
% 171.71/26.29  | |   (55)   ~ (e3 = e0)
% 171.71/26.29  | | 
% 171.71/26.29  | | BETA: splitting (32) gives:
% 171.71/26.29  | | 
% 171.71/26.29  | | Case 1:
% 171.71/26.29  | | | 
% 171.71/26.29  | | |   (56)  all_58_23 = e0
% 171.71/26.29  | | | 
% 171.71/26.29  | | | COMBINE_EQS: (3), (56) imply:
% 171.71/26.29  | | |   (57)  all_52_7 = e0
% 171.71/26.29  | | | 
% 171.71/26.29  | | | REDUCE: (33), (57) imply:
% 171.71/26.29  | | |   (58)  $false
% 171.71/26.29  | | | 
% 171.71/26.29  | | | CLOSE: (58) is inconsistent.
% 171.71/26.29  | | | 
% 171.71/26.29  | | Case 2:
% 171.71/26.29  | | | 
% 171.71/26.29  | | |   (59)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 171.71/26.29  | | | 
% 171.71/26.29  | | | BETA: splitting (59) gives:
% 171.71/26.29  | | | 
% 171.71/26.29  | | | Case 1:
% 171.71/26.29  | | | | 
% 171.71/26.29  | | | |   (60)  all_58_22 = e1
% 171.71/26.29  | | | | 
% 171.71/26.29  | | | | REF_CLOSE: (15), (43), (60) are inconsistent by sub-proof #923.
% 171.71/26.29  | | | | 
% 171.71/26.29  | | | Case 2:
% 171.71/26.29  | | | | 
% 171.71/26.29  | | | |   (61)   ~ (all_58_22 = e1)
% 171.71/26.29  | | | |   (62)  all_58_20 = e3 | all_58_21 = e2
% 171.71/26.29  | | | | 
% 171.71/26.29  | | | | REDUCE: (15), (61) imply:
% 171.71/26.29  | | | |   (63)   ~ (e1 = e0)
% 171.71/26.29  | | | | 
% 171.71/26.29  | | | | BETA: splitting (62) gives:
% 171.71/26.29  | | | | 
% 171.71/26.29  | | | | Case 1:
% 171.71/26.29  | | | | | 
% 171.71/26.29  | | | | |   (64)  all_58_21 = e2
% 171.71/26.29  | | | | | 
% 171.71/26.29  | | | | | COMBINE_EQS: (39), (64) imply:
% 171.71/26.29  | | | | |   (65)  all_4_2 = e2
% 171.71/26.29  | | | | | 
% 171.71/26.29  | | | | | COMBINE_EQS: (35), (65) imply:
% 171.71/26.29  | | | | |   (66)  all_56_3 = e2
% 171.71/26.29  | | | | | 
% 171.71/26.29  | | | | | BETA: splitting (42) gives:
% 171.71/26.29  | | | | | 
% 171.71/26.29  | | | | | Case 1:
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | |   (67)  all_56_1 = e1
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | | COMBINE_EQS: (2), (67) imply:
% 171.71/26.29  | | | | | |   (68)  all_52_4 = e1
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | | REDUCE: (37), (68) imply:
% 171.71/26.29  | | | | | |   (69)   ~ (all_52_8 = e1)
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | | SIMP: (69) implies:
% 171.71/26.29  | | | | | |   (70)   ~ (all_52_8 = e1)
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | | BETA: splitting (46) gives:
% 171.71/26.29  | | | | | | 
% 171.71/26.29  | | | | | | Case 1:
% 171.71/26.29  | | | | | | | 
% 171.71/26.29  | | | | | | |   (71)  all_54_11 = e1
% 171.71/26.29  | | | | | | | 
% 171.71/26.29  | | | | | | | COMBINE_EQS: (24), (71) imply:
% 171.71/26.29  | | | | | | |   (72)  all_14_1 = e1
% 171.71/26.29  | | | | | | | 
% 171.71/26.29  | | | | | | | REDUCE: (4), (72) imply:
% 171.71/26.29  | | | | | | |   (73)  $false
% 171.71/26.29  | | | | | | | 
% 171.71/26.29  | | | | | | | CLOSE: (73) is inconsistent.
% 171.71/26.29  | | | | | | | 
% 171.71/26.29  | | | | | | Case 2:
% 171.71/26.29  | | | | | | | 
% 171.71/26.29  | | | | | | |   (74)  all_54_11 = e3 | all_54_11 = e2
% 171.71/26.29  | | | | | | | 
% 171.71/26.29  | | | | | | | BETA: splitting (74) gives:
% 171.71/26.29  | | | | | | | 
% 171.71/26.29  | | | | | | | Case 1:
% 171.71/26.29  | | | | | | | | 
% 171.71/26.29  | | | | | | | |   (75)  all_54_11 = e2
% 171.71/26.29  | | | | | | | | 
% 171.71/26.29  | | | | | | | | COMBINE_EQS: (24), (75) imply:
% 171.71/26.29  | | | | | | | |   (76)  all_14_1 = e2
% 171.71/26.29  | | | | | | | | 
% 171.71/26.29  | | | | | | | | COMBINE_EQS: (47), (76) imply:
% 171.71/26.29  | | | | | | | |   (77)  all_48_1 = e2
% 171.71/26.29  | | | | | | | | 
% 171.71/26.29  | | | | | | | | REDUCE: (31), (76) imply:
% 171.71/26.29  | | | | | | | |   (78)   ~ (all_52_2 = e2)
% 171.71/26.29  | | | | | | | | 
% 171.71/26.29  | | | | | | | | REDUCE: (54), (76) imply:
% 171.71/26.29  | | | | | | | |   (79)   ~ (e3 = e2)
% 171.71/26.29  | | | | | | | | 
% 171.71/26.29  | | | | | | | | SIMP: (79) implies:
% 171.71/26.29  | | | | | | | |   (80)   ~ (e3 = e2)
% 171.71/26.29  | | | | | | | | 
% 171.71/26.29  | | | | | | | | REDUCE: (7), (76) imply:
% 171.71/26.29  | | | | | | | |   (81)  op(e2, e1) = all_14_0
% 171.71/26.29  | | | | | | | | 
% 171.71/26.29  | | | | | | | | BETA: splitting (13) gives:
% 171.71/26.29  | | | | | | | | 
% 171.71/26.29  | | | | | | | | Case 1:
% 171.71/26.29  | | | | | | | | | 
% 171.71/26.29  | | | | | | | | |   (82)   ~ (all_48_1 = e2)
% 171.71/26.29  | | | | | | | | | 
% 171.71/26.29  | | | | | | | | | REDUCE: (77), (82) imply:
% 171.71/26.29  | | | | | | | | |   (83)  $false
% 171.71/26.29  | | | | | | | | | 
% 171.71/26.29  | | | | | | | | | CLOSE: (83) is inconsistent.
% 171.71/26.29  | | | | | | | | | 
% 171.71/26.29  | | | | | | | | Case 2:
% 171.71/26.29  | | | | | | | | | 
% 171.71/26.29  | | | | | | | | |   (84)   ~ (all_48_0 = e3)
% 171.71/26.29  | | | | | | | | | 
% 171.71/26.29  | | | | | | | | | REDUCE: (8), (84) imply:
% 171.71/26.29  | | | | | | | | |   (85)   ~ (all_14_0 = e3)
% 171.71/26.29  | | | | | | | | | 
% 171.71/26.29  | | | | | | | | | GROUND_INST: instantiating (38) with all_52_9, all_14_0, e1,
% 171.71/26.29  | | | | | | | | |              e2, simplifying with (12), (81) gives:
% 171.71/26.29  | | | | | | | | |   (86)  all_52_9 = all_14_0
% 171.71/26.29  | | | | | | | | | 
% 171.71/26.29  | | | | | | | | | COMBINE_EQS: (5), (86) imply:
% 171.71/26.29  | | | | | | | | |   (87)  all_56_5 = all_14_0
% 171.71/26.29  | | | | | | | | | 
% 171.71/26.29  | | | | | | | | | BETA: splitting (45) gives:
% 171.71/26.29  | | | | | | | | | 
% 171.71/26.29  | | | | | | | | | Case 1:
% 171.71/26.29  | | | | | | | | | | 
% 171.71/26.29  | | | | | | | | | |   (88)  all_56_2 = e3
% 171.71/26.30  | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | COMBINE_EQS: (22), (88) imply:
% 171.71/26.30  | | | | | | | | | |   (89)  all_52_1 = e3
% 171.71/26.30  | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | SIMP: (89) implies:
% 171.71/26.30  | | | | | | | | | |   (90)  all_52_1 = e3
% 171.71/26.30  | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | REDUCE: (25), (90) imply:
% 171.71/26.30  | | | | | | | | | |   (91)   ~ (all_52_2 = e3)
% 171.71/26.30  | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | SIMP: (91) implies:
% 171.71/26.30  | | | | | | | | | |   (92)   ~ (all_52_2 = e3)
% 171.71/26.30  | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | BETA: splitting (29) gives:
% 171.71/26.30  | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | Case 1:
% 171.71/26.30  | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | |   (93)  all_56_4 = e1
% 171.71/26.30  | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | REF_CLOSE: (28), (70), (93) are inconsistent by sub-proof
% 171.71/26.30  | | | | | | | | | | |            #504.
% 171.71/26.30  | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | Case 2:
% 171.71/26.30  | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | |   (94)  all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 171.71/26.30  | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | BETA: splitting (94) gives:
% 171.71/26.30  | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | Case 1:
% 171.71/26.30  | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | |   (95)  all_56_5 = e1
% 171.71/26.30  | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | COMBINE_EQS: (87), (95) imply:
% 171.71/26.30  | | | | | | | | | | | |   (96)  all_14_0 = e1
% 171.71/26.30  | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | SIMP: (96) implies:
% 171.71/26.30  | | | | | | | | | | | |   (97)  all_14_0 = e1
% 171.71/26.30  | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | REDUCE: (23), (97) imply:
% 171.71/26.30  | | | | | | | | | | | |   (98)  $false
% 171.71/26.30  | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | CLOSE: (98) is inconsistent.
% 171.71/26.30  | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | Case 2:
% 171.71/26.30  | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | |   (99)  all_56_8 = e1 | all_56_14 = e1
% 171.71/26.30  | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | BETA: splitting (27) gives:
% 171.71/26.30  | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | Case 1:
% 171.71/26.30  | | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | |   (100)  all_54_8 = e0
% 171.71/26.30  | | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | | REF_CLOSE: (1), (19), (100) are inconsistent by sub-proof
% 171.71/26.30  | | | | | | | | | | | | |            #839.
% 171.71/26.30  | | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | Case 2:
% 171.71/26.30  | | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | |   (101)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 171.71/26.30  | | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | | BETA: splitting (99) gives:
% 171.71/26.30  | | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | | Case 1:
% 171.71/26.30  | | | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | | |   (102)  all_56_8 = e1
% 171.71/26.30  | | | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | | | COMBINE_EQS: (10), (102) imply:
% 171.71/26.30  | | | | | | | | | | | | | |   (103)  all_10_2 = e1
% 171.71/26.30  | | | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | | | REDUCE: (44), (103) imply:
% 171.71/26.30  | | | | | | | | | | | | | |   (104)   ~ (all_52_2 = e1)
% 171.71/26.30  | | | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | | | REF_CLOSE: (1), (78), (92), (101), (104) are inconsistent by
% 171.71/26.30  | | | | | | | | | | | | | |            sub-proof #670.
% 171.71/26.30  | | | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | | Case 2:
% 171.71/26.30  | | | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | | |   (105)  all_56_14 = e1
% 171.71/26.30  | | | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | | | COMBINE_EQS: (9), (105) imply:
% 171.71/26.30  | | | | | | | | | | | | | |   (106)  all_52_11 = e1
% 171.71/26.30  | | | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | | | REDUCE: (11), (106) imply:
% 171.71/26.30  | | | | | | | | | | | | | |   (107)  $false
% 171.71/26.30  | | | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | | | CLOSE: (107) is inconsistent.
% 171.71/26.30  | | | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | | End of split
% 171.71/26.30  | | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | End of split
% 171.71/26.30  | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | End of split
% 171.71/26.30  | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | End of split
% 171.71/26.30  | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | Case 2:
% 171.71/26.30  | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | |   (108)  all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 171.71/26.30  | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | BETA: splitting (108) gives:
% 171.71/26.30  | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | Case 1:
% 171.71/26.30  | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | |   (109)  all_56_3 = e3
% 171.71/26.30  | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | COMBINE_EQS: (66), (109) imply:
% 171.71/26.30  | | | | | | | | | | |   (110)  e3 = e2
% 171.71/26.30  | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | REDUCE: (80), (110) imply:
% 171.71/26.30  | | | | | | | | | | |   (111)  $false
% 171.71/26.30  | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | CLOSE: (111) is inconsistent.
% 171.71/26.30  | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | Case 2:
% 171.71/26.30  | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | |   (112)  all_56_5 = e3 | all_56_10 = e3
% 171.71/26.30  | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | BETA: splitting (112) gives:
% 171.71/26.30  | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | Case 1:
% 171.71/26.30  | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | |   (113)  all_56_5 = e3
% 171.71/26.30  | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | COMBINE_EQS: (87), (113) imply:
% 171.71/26.30  | | | | | | | | | | | |   (114)  all_14_0 = e3
% 171.71/26.30  | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | SIMP: (114) implies:
% 171.71/26.30  | | | | | | | | | | | |   (115)  all_14_0 = e3
% 171.71/26.30  | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | REDUCE: (85), (115) imply:
% 171.71/26.30  | | | | | | | | | | | |   (116)  $false
% 171.71/26.30  | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | CLOSE: (116) is inconsistent.
% 171.71/26.30  | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | Case 2:
% 171.71/26.30  | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | |   (117)  all_56_10 = e3
% 171.71/26.30  | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | COMBINE_EQS: (6), (117) imply:
% 171.71/26.30  | | | | | | | | | | | |   (118)  e3 = e0
% 171.71/26.30  | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | REDUCE: (55), (118) imply:
% 171.71/26.30  | | | | | | | | | | | |   (119)  $false
% 171.71/26.30  | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | | CLOSE: (119) is inconsistent.
% 171.71/26.30  | | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | | End of split
% 171.71/26.30  | | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | | End of split
% 171.71/26.30  | | | | | | | | | | 
% 171.71/26.30  | | | | | | | | | End of split
% 171.71/26.30  | | | | | | | | | 
% 171.71/26.30  | | | | | | | | End of split
% 171.71/26.30  | | | | | | | | 
% 171.71/26.30  | | | | | | | Case 2:
% 171.71/26.30  | | | | | | | | 
% 171.71/26.30  | | | | | | | |   (120)  all_54_11 = e3
% 171.71/26.30  | | | | | | | | 
% 171.71/26.30  | | | | | | | | COMBINE_EQS: (24), (120) imply:
% 171.71/26.30  | | | | | | | |   (121)  all_14_1 = e3
% 171.71/26.30  | | | | | | | | 
% 171.71/26.30  | | | | | | | | REDUCE: (54), (121) imply:
% 171.71/26.30  | | | | | | | |   (122)  $false
% 171.71/26.30  | | | | | | | | 
% 171.71/26.30  | | | | | | | | CLOSE: (122) is inconsistent.
% 171.71/26.30  | | | | | | | | 
% 171.71/26.30  | | | | | | | End of split
% 171.71/26.30  | | | | | | | 
% 171.71/26.30  | | | | | | End of split
% 171.71/26.30  | | | | | | 
% 171.71/26.30  | | | | | Case 2:
% 171.71/26.30  | | | | | | 
% 171.71/26.30  | | | | | |   (123)  all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 171.71/26.30  | | | | | | 
% 171.71/26.30  | | | | | | BETA: splitting (123) gives:
% 171.71/26.30  | | | | | | 
% 171.71/26.30  | | | | | | Case 1:
% 171.71/26.30  | | | | | | | 
% 171.71/26.30  | | | | | | |   (124)  all_56_3 = e1
% 171.71/26.30  | | | | | | | 
% 171.71/26.30  | | | | | | | COMBINE_EQS: (66), (124) imply:
% 171.71/26.30  | | | | | | |   (125)  e2 = e1
% 171.71/26.30  | | | | | | | 
% 171.71/26.30  | | | | | | | REDUCE: (17), (125) imply:
% 171.71/26.30  | | | | | | |   (126)  $false
% 171.71/26.30  | | | | | | | 
% 171.71/26.30  | | | | | | | CLOSE: (126) is inconsistent.
% 171.71/26.30  | | | | | | | 
% 171.71/26.30  | | | | | | Case 2:
% 171.71/26.30  | | | | | | | 
% 171.71/26.30  | | | | | | |   (127)  all_56_7 = e1 | all_56_13 = e1
% 171.71/26.30  | | | | | | | 
% 171.71/26.30  | | | | | | | BETA: splitting (127) gives:
% 171.71/26.30  | | | | | | | 
% 171.71/26.30  | | | | | | | Case 1:
% 171.71/26.30  | | | | | | | | 
% 171.71/26.30  | | | | | | | |   (128)  all_56_7 = e1
% 171.71/26.30  | | | | | | | | 
% 171.71/26.30  | | | | | | | | COMBINE_EQS: (26), (128) imply:
% 171.71/26.30  | | | | | | | |   (129)  e1 = e0
% 171.71/26.30  | | | | | | | | 
% 171.71/26.30  | | | | | | | | SIMP: (129) implies:
% 171.71/26.30  | | | | | | | |   (130)  e1 = e0
% 171.71/26.30  | | | | | | | | 
% 171.71/26.30  | | | | | | | | REDUCE: (43), (130) imply:
% 171.71/26.30  | | | | | | | |   (131)  $false
% 171.71/26.30  | | | | | | | | 
% 171.71/26.30  | | | | | | | | CLOSE: (131) is inconsistent.
% 171.71/26.30  | | | | | | | | 
% 171.71/26.30  | | | | | | | Case 2:
% 171.71/26.30  | | | | | | | | 
% 171.71/26.30  | | | | | | | |   (132)  all_56_13 = e1
% 171.71/26.30  | | | | | | | | 
% 171.71/26.30  | | | | | | | | REF_CLOSE: (18), (20), (132) are inconsistent by sub-proof #748.
% 171.71/26.30  | | | | | | | | 
% 171.71/26.30  | | | | | | | End of split
% 171.71/26.30  | | | | | | | 
% 171.71/26.30  | | | | | | End of split
% 171.71/26.30  | | | | | | 
% 171.71/26.30  | | | | | End of split
% 171.71/26.30  | | | | | 
% 171.71/26.30  | | | | Case 2:
% 171.71/26.30  | | | | | 
% 171.71/26.30  | | | | |   (133)  all_58_20 = e3
% 171.71/26.30  | | | | | 
% 171.71/26.30  | | | | | COMBINE_EQS: (30), (133) imply:
% 171.71/26.30  | | | | |   (134)  all_52_4 = e3
% 171.71/26.30  | | | | | 
% 171.71/26.30  | | | | | REDUCE: (52), (134) imply:
% 171.71/26.30  | | | | |   (135)  $false
% 171.71/26.30  | | | | | 
% 171.71/26.30  | | | | | CLOSE: (135) is inconsistent.
% 171.71/26.30  | | | | | 
% 171.71/26.30  | | | | End of split
% 171.71/26.30  | | | | 
% 171.71/26.30  | | | End of split
% 171.71/26.30  | | | 
% 171.71/26.30  | | End of split
% 171.71/26.30  | | 
% 171.71/26.30  | End of split
% 171.71/26.30  | 
% 171.71/26.30  End of proof
% 171.71/26.30  
% 171.71/26.30  Sub-proof #183 shows that the following formulas are inconsistent:
% 171.71/26.30  ----------------------------------------------------------------
% 171.71/26.30    (1)  all_56_1 = all_52_4
% 171.71/26.30    (2)  all_56_12 = all_52_3
% 171.71/26.30    (3)  all_56_15 = e0 | ((all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 171.71/26.30           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0))
% 171.71/26.30    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.71/26.30    (5)  op(e1, all_52_14) = all_58_11
% 171.71/26.30    (6)   ~ (all_10_2 = e0)
% 171.71/26.30    (7)   ~ (e3 = e1)
% 171.71/26.30    (8)  all_58_23 = all_52_7
% 171.71/26.30    (9)   ~ (all_14_1 = e1)
% 171.71/26.30    (10)   ~ (all_52_2 = all_6_2)
% 171.71/26.30    (11)   ~ (all_52_4 = all_4_2)
% 171.71/26.30    (12)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.71/26.30    (13)  all_56_5 = all_52_9
% 171.71/26.30    (14)   ~ (all_52_12 = all_6_2)
% 171.71/26.30    (15)   ~ (all_52_6 = all_4_2)
% 171.71/26.30    (16)  all_56_11 = all_14_1
% 171.71/26.30    (17)  op(e1, e0) = all_52_14
% 171.71/26.30    (18)   ~ (all_52_13 = e1)
% 171.71/26.30    (19)  op(all_14_1, e1) = all_14_0
% 171.71/26.30    (20)   ~ (all_52_13 = all_4_2)
% 171.71/26.30    (21)  op(e0, all_52_3) = all_58_12
% 171.71/26.30    (22)  all_56_8 = all_10_2
% 171.71/26.30    (23)   ~ (all_52_13 = all_14_1)
% 171.71/26.30    (24)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.71/26.30    (25)  all_58_26 = all_10_2
% 171.71/26.30    (26)   ~ (all_52_4 = all_52_6)
% 171.71/26.30    (27)  all_58_31 = all_14_2
% 171.71/26.30    (28)   ~ (all_52_3 = all_6_2)
% 171.71/26.30    (29)   ~ (all_52_6 = all_14_1)
% 171.71/26.30    (30)   ~ (all_52_1 = all_6_2)
% 171.71/26.30    (31)  all_56_11 = all_52_14
% 171.71/26.30    (32)   ~ (all_4_1 = e0)
% 171.71/26.30    (33)  all_56_0 = all_6_2
% 171.71/26.30    (34)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.71/26.30    (35)  all_58_30 = all_52_14
% 171.71/26.30    (36)  all_58_27 = all_52_11
% 171.71/26.30    (37)  op(e3, e2) = all_52_4
% 171.71/26.30    (38)  op(all_4_2, e2) = all_4_1
% 171.71/26.30    (39)  all_58_17 = all_52_1
% 171.71/26.30    (40)  op(e3, e1) = all_52_8
% 171.71/26.30    (41)  op(e2, all_4_2) = all_58_5
% 171.71/26.30    (42)  all_58_19 = all_52_3
% 171.71/26.30    (43)  all_56_9 = all_52_12
% 171.71/26.30    (44)   ~ (all_52_2 = all_52_6)
% 171.71/26.30    (45)   ~ (all_52_12 = e1)
% 171.71/26.30    (46)  op(e2, e2) = all_4_2
% 171.71/26.30    (47)   ~ (e3 = e2)
% 171.71/26.30    (48)  all_58_30 = all_14_1
% 171.71/26.30    (49)  op(e3, all_52_8) = all_58_2
% 171.71/26.30    (50)   ~ (all_52_4 = all_52_7)
% 171.71/26.30    (51)   ~ (e2 = e1)
% 171.71/26.30    (52)  op(e0, e1) = all_52_11
% 171.71/26.30    (53)  all_56_1 = e0
% 171.71/26.30    (54)   ~ (all_52_1 = all_4_2)
% 171.71/26.30    (55)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.71/26.30    (56)  all_58_18 = all_52_2
% 171.71/26.30    (57)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.71/26.30    (58)  all_58_16 = all_6_2
% 171.71/26.30    (59)  op(e0, e3) = all_52_3
% 171.71/26.30    (60)  all_56_2 = all_52_1
% 171.71/26.30    (61)   ~ (e3 = e0)
% 171.71/26.30    (62)  all_58_29 = all_52_13
% 171.71/26.30    (63)   ~ (all_52_8 = all_10_2)
% 171.71/26.30    (64)  all_56_4 = all_52_8
% 171.71/26.30    (65)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.71/26.30    (66)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 171.71/26.30    (67)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 171.71/26.30    (68)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 171.71/26.30    (69)  all_58_20 = all_52_4
% 171.71/26.30    (70)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 171.71/26.30    (71)   ~ (all_52_2 = all_14_1)
% 171.71/26.30    (72)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 171.71/26.30    (73)  all_56_6 = all_52_2
% 171.71/26.30    (74)   ~ (all_52_1 = all_52_9)
% 171.71/26.30    (75)  all_58_24 = all_52_8
% 171.71/26.30    (76)   ~ (all_52_9 = all_52_11)
% 171.71/26.30    (77)  all_58_22 = all_52_6
% 171.71/26.30    (78)   ~ (all_52_4 = all_52_12)
% 171.71/26.30    (79)  all_56_3 = all_4_2
% 171.71/26.30    (80)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 171.71/26.30    (81)  all_54_0 = all_6_2
% 171.71/26.30    (82)   ~ (all_52_2 = all_52_3)
% 171.71/26.30    (83)   ~ (all_52_14 = all_14_2)
% 171.71/26.30    (84)  all_58_25 = all_52_9
% 171.71/26.30    (85)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.30            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.30    (86)  all_54_12 = all_52_3
% 171.71/26.30    (87)   ~ (all_52_2 = all_52_14)
% 171.71/26.30    (88)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.71/26.30    (89)  all_58_21 = all_4_2
% 171.71/26.30    (90)  all_56_10 = all_52_13
% 171.71/26.30    (91)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.71/26.30    (92)   ~ (e2 = e0)
% 171.71/26.30    (93)   ~ (all_14_1 = all_10_2)
% 171.71/26.30    (94)   ~ (all_52_1 = all_52_3)
% 171.71/26.30    (95)  all_58_28 = all_52_12
% 171.71/26.30    (96)   ~ (e1 = e0)
% 171.71/26.30    (97)  all_56_7 = all_52_6
% 171.71/26.30    (98)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 171.71/26.30            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 171.71/26.30            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 171.71/26.30            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 171.71/26.30            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 171.71/26.30            (all_58_15 = e0))
% 171.71/26.30    (99)  all_58_31 = e1
% 171.71/26.30    (100)  all_54_5 = all_4_2
% 171.71/26.30    (101)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 171.71/26.30    (102)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 171.71/26.30    (103)  all_56_15 = e1
% 171.71/26.30    (104)   ~ (all_52_12 = all_52_13)
% 171.71/26.30  
% 171.71/26.30  Begin of proof
% 171.71/26.30  | 
% 171.71/26.30  | COMBINE_EQS: (1), (53) imply:
% 171.71/26.30  |   (105)  all_52_4 = e0
% 171.71/26.30  | 
% 171.71/26.30  | COMBINE_EQS: (69), (105) imply:
% 171.71/26.30  |   (106)  all_58_20 = e0
% 171.71/26.30  | 
% 171.71/26.30  | REDUCE: (26), (105) imply:
% 171.71/26.30  |   (107)   ~ (all_52_6 = e0)
% 171.71/26.30  | 
% 171.71/26.30  | SIMP: (107) implies:
% 171.71/26.30  |   (108)   ~ (all_52_6 = e0)
% 171.71/26.30  | 
% 171.71/26.30  | REDUCE: (50), (105) imply:
% 171.71/26.30  |   (109)   ~ (all_52_7 = e0)
% 171.71/26.30  | 
% 171.71/26.30  | SIMP: (109) implies:
% 171.71/26.30  |   (110)   ~ (all_52_7 = e0)
% 171.71/26.30  | 
% 171.71/26.30  | REDUCE: (78), (105) imply:
% 171.71/26.30  |   (111)   ~ (all_52_12 = e0)
% 171.71/26.30  | 
% 171.71/26.30  | SIMP: (111) implies:
% 171.71/26.30  |   (112)   ~ (all_52_12 = e0)
% 171.71/26.30  | 
% 171.71/26.30  | REDUCE: (11), (105) imply:
% 171.71/26.30  |   (113)   ~ (all_4_2 = e0)
% 171.71/26.30  | 
% 171.71/26.30  | SIMP: (113) implies:
% 171.71/26.30  |   (114)   ~ (all_4_2 = e0)
% 171.71/26.30  | 
% 171.71/26.30  | REDUCE: (37), (105) imply:
% 171.71/26.30  |   (115)  op(e3, e2) = e0
% 171.71/26.30  | 
% 171.71/26.30  | BETA: splitting (70) gives:
% 171.71/26.30  | 
% 171.71/26.30  | Case 1:
% 171.71/26.30  | | 
% 171.71/26.30  | |   (116)  all_56_6 = e0
% 171.71/26.30  | | 
% 171.71/26.30  | | COMBINE_EQS: (73), (116) imply:
% 171.71/26.30  | |   (117)  all_52_2 = e0
% 171.71/26.30  | | 
% 171.71/26.30  | | COMBINE_EQS: (56), (117) imply:
% 171.71/26.30  | |   (118)  all_58_18 = e0
% 171.71/26.30  | | 
% 171.71/26.30  | | REDUCE: (82), (117) imply:
% 171.71/26.30  | |   (119)   ~ (all_52_3 = e0)
% 171.71/26.30  | | 
% 171.71/26.30  | | SIMP: (119) implies:
% 171.71/26.30  | |   (120)   ~ (all_52_3 = e0)
% 171.71/26.30  | | 
% 171.71/26.30  | | REDUCE: (71), (117) imply:
% 171.71/26.30  | |   (121)   ~ (all_14_1 = e0)
% 171.71/26.30  | | 
% 171.71/26.30  | | SIMP: (121) implies:
% 171.71/26.30  | |   (122)   ~ (all_14_1 = e0)
% 171.71/26.30  | | 
% 171.71/26.30  | | BETA: splitting (3) gives:
% 171.71/26.30  | | 
% 171.71/26.30  | | Case 1:
% 171.71/26.30  | | | 
% 171.71/26.30  | | |   (123)  all_56_15 = e0
% 171.71/26.30  | | | 
% 171.71/26.30  | | | REF_CLOSE: (96), (103), (123) are inconsistent by sub-proof #657.
% 171.71/26.30  | | | 
% 171.71/26.30  | | Case 2:
% 171.71/26.30  | | | 
% 171.71/26.30  | | |   (124)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) & (all_56_12 =
% 171.71/26.30  | | |            e0 | all_56_13 = e0 | all_56_14 = e0)
% 171.71/26.30  | | | 
% 171.71/26.30  | | | ALPHA: (124) implies:
% 171.71/26.30  | | |   (125)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 171.71/26.30  | | | 
% 171.71/26.30  | | | REF_CLOSE: (8), (9), (12), (14), (15), (16), (18), (24), (32), (38), (39),
% 171.71/26.30  | | |            (42), (43), (47), (48), (54), (58), (60), (62), (72), (77),
% 171.71/26.30  | | |            (79), (85), (88), (89), (90), (92), (95), (99), (100), (102),
% 171.71/26.30  | | |            (104), (106), (110), (112), (115), (118), (120), (122), (125)
% 171.71/26.30  | | |            are inconsistent by sub-proof #650.
% 171.71/26.30  | | | 
% 171.71/26.30  | | End of split
% 171.71/26.30  | | 
% 171.71/26.30  | Case 2:
% 171.71/26.30  | | 
% 171.71/26.30  | |   (126)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 171.71/26.30  | | 
% 171.71/26.30  | | BETA: splitting (126) gives:
% 171.71/26.30  | | 
% 171.71/26.30  | | Case 1:
% 171.71/26.30  | | | 
% 171.71/26.30  | | |   (127)  all_56_7 = e0
% 171.71/26.30  | | | 
% 171.71/26.30  | | | COMBINE_EQS: (97), (127) imply:
% 171.71/26.30  | | |   (128)  all_52_6 = e0
% 171.71/26.30  | | | 
% 171.71/26.30  | | | REDUCE: (108), (128) imply:
% 171.71/26.30  | | |   (129)  $false
% 171.71/26.30  | | | 
% 171.71/26.30  | | | CLOSE: (129) is inconsistent.
% 171.71/26.30  | | | 
% 171.71/26.30  | | Case 2:
% 171.71/26.30  | | | 
% 171.71/26.30  | | |   (130)  all_56_8 = e0 | all_56_11 = e0
% 171.71/26.30  | | | 
% 171.71/26.30  | | | BETA: splitting (130) gives:
% 171.71/26.30  | | | 
% 171.71/26.30  | | | Case 1:
% 171.71/26.30  | | | | 
% 171.71/26.30  | | | |   (131)  all_56_8 = e0
% 171.71/26.30  | | | | 
% 171.71/26.30  | | | | COMBINE_EQS: (22), (131) imply:
% 171.71/26.30  | | | |   (132)  all_10_2 = e0
% 171.71/26.30  | | | | 
% 171.71/26.30  | | | | REDUCE: (6), (132) imply:
% 171.71/26.30  | | | |   (133)  $false
% 171.71/26.30  | | | | 
% 171.71/26.30  | | | | CLOSE: (133) is inconsistent.
% 171.71/26.30  | | | | 
% 171.71/26.30  | | | Case 2:
% 171.71/26.30  | | | | 
% 171.71/26.30  | | | |   (134)  all_56_11 = e0
% 171.71/26.30  | | | | 
% 171.71/26.30  | | | | COMBINE_EQS: (16), (134) imply:
% 171.71/26.30  | | | |   (135)  all_14_1 = e0
% 171.71/26.30  | | | | 
% 171.71/26.30  | | | | SIMP: (135) implies:
% 171.71/26.30  | | | |   (136)  all_14_1 = e0
% 171.71/26.30  | | | | 
% 171.71/26.30  | | | | REDUCE: (23), (136) imply:
% 171.71/26.30  | | | |   (137)   ~ (all_52_13 = e0)
% 171.71/26.30  | | | | 
% 171.71/26.30  | | | | REDUCE: (93), (136) imply:
% 171.71/26.30  | | | |   (138)   ~ (all_10_2 = e0)
% 171.71/26.30  | | | | 
% 171.71/26.30  | | | | REDUCE: (9), (136) imply:
% 171.71/26.30  | | | |   (139)   ~ (e1 = e0)
% 171.71/26.30  | | | | 
% 171.71/26.30  | | | | REDUCE: (19), (136) imply:
% 171.71/26.30  | | | |   (140)  op(e0, e1) = all_14_0
% 171.71/26.30  | | | | 
% 171.71/26.30  | | | | GROUND_INST: instantiating (85) with all_52_11, all_14_0, e1, e0,
% 171.71/26.30  | | | |              simplifying with (52), (140) gives:
% 171.71/26.30  | | | |   (141)  all_52_11 = all_14_0
% 171.71/26.30  | | | | 
% 171.71/26.30  | | | | COMBINE_EQS: (36), (141) imply:
% 171.71/26.30  | | | |   (142)  all_58_27 = all_14_0
% 171.71/26.30  | | | | 
% 171.71/26.30  | | | | REDUCE: (76), (141) imply:
% 171.71/26.30  | | | |   (143)   ~ (all_52_9 = all_14_0)
% 171.71/26.30  | | | | 
% 171.71/26.30  | | | | BETA: splitting (65) gives:
% 171.71/26.30  | | | | 
% 171.71/26.30  | | | | Case 1:
% 171.71/26.30  | | | | | 
% 171.71/26.30  | | | | |   (144)  all_56_2 = e0
% 171.71/26.30  | | | | | 
% 171.71/26.30  | | | | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (10), (12), (14), (15), (17),
% 171.71/26.30  | | | | |            (20), (21), (22), (24), (27), (28), (30), (31), (32), (33),
% 171.71/26.30  | | | | |            (35), (38), (39), (40), (41), (42), (43), (44), (46), (49),
% 171.71/26.30  | | | | |            (53), (54), (55), (56), (57), (58), (59), (60), (61), (62),
% 171.71/26.30  | | | | |            (64), (66), (67), (68), (72), (73), (77), (79), (80), (81),
% 171.71/26.30  | | | | |            (82), (83), (85), (86), (87), (88), (89), (92), (94), (95),
% 171.71/26.30  | | | | |            (96), (97), (98), (100), (101), (102), (106), (108), (110),
% 171.71/26.30  | | | | |            (115), (126), (144) are inconsistent by sub-proof #184.
% 171.71/26.30  | | | | | 
% 171.71/26.30  | | | | Case 2:
% 171.71/26.30  | | | | | 
% 171.71/26.30  | | | | |   (145)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.71/26.30  | | | | | 
% 171.71/26.30  | | | | | BETA: splitting (145) gives:
% 171.71/26.30  | | | | | 
% 171.71/26.30  | | | | | Case 1:
% 171.71/26.30  | | | | | | 
% 171.71/26.30  | | | | | |   (146)  all_56_3 = e0
% 171.71/26.30  | | | | | | 
% 171.71/26.30  | | | | | | COMBINE_EQS: (79), (146) imply:
% 171.71/26.30  | | | | | |   (147)  all_4_2 = e0
% 171.71/26.30  | | | | | | 
% 171.71/26.30  | | | | | | REDUCE: (114), (147) imply:
% 171.71/26.30  | | | | | |   (148)  $false
% 171.71/26.30  | | | | | | 
% 171.71/26.30  | | | | | | CLOSE: (148) is inconsistent.
% 171.71/26.30  | | | | | | 
% 171.71/26.30  | | | | | Case 2:
% 171.71/26.30  | | | | | | 
% 171.71/26.30  | | | | | |   (149)  all_56_5 = e0 | all_56_10 = e0
% 171.71/26.30  | | | | | | 
% 171.71/26.30  | | | | | | BETA: splitting (149) gives:
% 171.71/26.30  | | | | | | 
% 171.71/26.30  | | | | | | Case 1:
% 171.71/26.30  | | | | | | | 
% 171.71/26.30  | | | | | | |   (150)  all_56_5 = e0
% 171.71/26.30  | | | | | | | 
% 171.71/26.30  | | | | | | | COMBINE_EQS: (13), (150) imply:
% 171.71/26.30  | | | | | | |   (151)  all_52_9 = e0
% 171.71/26.30  | | | | | | | 
% 171.71/26.30  | | | | | | | COMBINE_EQS: (84), (151) imply:
% 171.71/26.30  | | | | | | |   (152)  all_58_25 = e0
% 171.71/26.30  | | | | | | | 
% 171.71/26.30  | | | | | | | REDUCE: (74), (151) imply:
% 171.71/26.30  | | | | | | |   (153)   ~ (all_52_1 = e0)
% 171.71/26.30  | | | | | | | 
% 171.71/26.30  | | | | | | | REDUCE: (143), (151) imply:
% 171.71/26.30  | | | | | | |   (154)   ~ (all_14_0 = e0)
% 171.71/26.30  | | | | | | | 
% 171.71/26.30  | | | | | | | SIMP: (154) implies:
% 171.71/26.30  | | | | | | |   (155)   ~ (all_14_0 = e0)
% 171.71/26.30  | | | | | | | 
% 171.71/26.30  | | | | | | | REF_CLOSE: (7), (8), (15), (18), (25), (30), (33), (34), (43),
% 171.71/26.30  | | | | | | |            (45), (51), (53), (60), (61), (63), (64), (72), (75),
% 171.71/26.30  | | | | | | |            (77), (79), (80), (89), (90), (91), (92), (96), (106),
% 171.71/26.30  | | | | | | |            (110), (142), (150), (152), (153), (155) are
% 171.71/26.30  | | | | | | |            inconsistent by sub-proof #680.
% 171.71/26.30  | | | | | | | 
% 171.71/26.30  | | | | | | Case 2:
% 171.71/26.30  | | | | | | | 
% 171.71/26.30  | | | | | | |   (156)  all_56_10 = e0
% 171.71/26.30  | | | | | | | 
% 171.71/26.30  | | | | | | | REF_CLOSE: (90), (137), (156) are inconsistent by sub-proof #943.
% 171.71/26.30  | | | | | | | 
% 171.71/26.30  | | | | | | End of split
% 171.71/26.30  | | | | | | 
% 171.71/26.30  | | | | | End of split
% 171.71/26.30  | | | | | 
% 171.71/26.30  | | | | End of split
% 171.71/26.30  | | | | 
% 171.71/26.30  | | | End of split
% 171.71/26.30  | | | 
% 171.71/26.30  | | End of split
% 171.71/26.30  | | 
% 171.71/26.30  | End of split
% 171.71/26.30  | 
% 171.71/26.30  End of proof
% 171.71/26.30  
% 171.71/26.30  Sub-proof #184 shows that the following formulas are inconsistent:
% 171.71/26.30  ----------------------------------------------------------------
% 171.71/26.30    (1)  all_56_12 = all_52_3
% 171.71/26.30    (2)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.71/26.30    (3)  op(e1, all_52_14) = all_58_11
% 171.71/26.30    (4)   ~ (all_10_2 = e0)
% 171.71/26.30    (5)   ~ (e3 = e1)
% 171.71/26.30    (6)  all_58_23 = all_52_7
% 171.71/26.30    (7)   ~ (all_52_2 = all_6_2)
% 171.71/26.30    (8)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.71/26.30    (9)   ~ (all_52_12 = all_6_2)
% 171.71/26.30    (10)   ~ (all_52_6 = all_4_2)
% 171.71/26.30    (11)  op(e1, e0) = all_52_14
% 171.71/26.30    (12)   ~ (all_52_13 = all_4_2)
% 171.71/26.30    (13)  op(e0, all_52_3) = all_58_12
% 171.71/26.30    (14)  all_56_8 = all_10_2
% 171.71/26.30    (15)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.71/26.30    (16)  all_58_31 = all_14_2
% 171.71/26.30    (17)   ~ (all_52_3 = all_6_2)
% 171.71/26.30    (18)   ~ (all_52_1 = all_6_2)
% 171.71/26.30    (19)  all_56_11 = all_52_14
% 171.71/26.30    (20)   ~ (all_4_1 = e0)
% 171.71/26.30    (21)  all_56_0 = all_6_2
% 171.71/26.30    (22)  all_58_30 = all_52_14
% 171.71/26.30    (23)  op(all_4_2, e2) = all_4_1
% 171.71/26.30    (24)  all_58_17 = all_52_1
% 171.71/26.30    (25)  op(e3, e1) = all_52_8
% 171.71/26.30    (26)  op(e2, all_4_2) = all_58_5
% 171.71/26.30    (27)  all_58_20 = e0
% 171.71/26.30    (28)  all_58_19 = all_52_3
% 171.71/26.30    (29)  all_56_9 = all_52_12
% 171.71/26.30    (30)   ~ (all_52_2 = all_52_6)
% 171.71/26.30    (31)  all_56_2 = e0
% 171.71/26.30    (32)  op(e2, e2) = all_4_2
% 171.71/26.30    (33)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 171.71/26.30    (34)  op(e3, all_52_8) = all_58_2
% 171.71/26.30    (35)  all_56_1 = e0
% 171.71/26.30    (36)   ~ (all_52_1 = all_4_2)
% 171.71/26.30    (37)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.71/26.30    (38)  all_58_18 = all_52_2
% 171.71/26.30    (39)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.71/26.30    (40)  all_58_16 = all_6_2
% 171.71/26.30    (41)  op(e0, e3) = all_52_3
% 171.71/26.30    (42)  all_56_2 = all_52_1
% 171.71/26.30    (43)   ~ (e3 = e0)
% 171.71/26.30    (44)  all_58_29 = all_52_13
% 171.71/26.30    (45)  op(e3, e2) = e0
% 171.71/26.30    (46)  all_56_4 = all_52_8
% 171.71/26.30    (47)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 171.71/26.30    (48)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 171.71/26.30    (49)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 171.71/26.30    (50)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 171.71/26.30    (51)  all_56_6 = all_52_2
% 171.71/26.30    (52)   ~ (all_52_7 = e0)
% 171.71/26.30    (53)  all_58_22 = all_52_6
% 171.71/26.30    (54)  all_56_3 = all_4_2
% 171.71/26.30    (55)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 171.71/26.30    (56)  all_54_0 = all_6_2
% 171.71/26.30    (57)   ~ (all_52_2 = all_52_3)
% 171.71/26.30    (58)   ~ (all_52_14 = all_14_2)
% 171.71/26.30    (59)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.30            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.30    (60)   ~ (all_52_6 = e0)
% 171.71/26.30    (61)  all_54_12 = all_52_3
% 171.71/26.30    (62)   ~ (all_52_2 = all_52_14)
% 171.71/26.30    (63)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.71/26.30    (64)  all_58_21 = all_4_2
% 171.71/26.30    (65)   ~ (e2 = e0)
% 171.71/26.30    (66)   ~ (all_52_1 = all_52_3)
% 171.71/26.30    (67)  all_58_28 = all_52_12
% 171.71/26.30    (68)   ~ (e1 = e0)
% 171.71/26.30    (69)  all_56_7 = all_52_6
% 171.71/26.30    (70)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 171.71/26.30            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 171.71/26.30            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 171.71/26.30            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 171.71/26.30            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 171.71/26.30            (all_58_15 = e0))
% 171.71/26.30    (71)  all_54_5 = all_4_2
% 171.71/26.30    (72)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 171.71/26.30    (73)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 171.71/26.30  
% 171.71/26.30  Begin of proof
% 171.71/26.30  | 
% 171.71/26.31  | COMBINE_EQS: (31), (42) imply:
% 171.71/26.31  |   (74)  all_52_1 = e0
% 171.71/26.31  | 
% 171.71/26.31  | COMBINE_EQS: (24), (74) imply:
% 171.71/26.31  |   (75)  all_58_17 = e0
% 171.71/26.31  | 
% 171.71/26.31  | REDUCE: (66), (74) imply:
% 171.71/26.31  |   (76)   ~ (all_52_3 = e0)
% 171.71/26.31  | 
% 171.71/26.31  | SIMP: (76) implies:
% 171.71/26.31  |   (77)   ~ (all_52_3 = e0)
% 171.71/26.31  | 
% 171.71/26.31  | REDUCE: (18), (74) imply:
% 171.71/26.31  |   (78)   ~ (all_6_2 = e0)
% 171.71/26.31  | 
% 171.71/26.31  | SIMP: (78) implies:
% 171.71/26.31  |   (79)   ~ (all_6_2 = e0)
% 171.71/26.31  | 
% 171.71/26.31  | REDUCE: (36), (74) imply:
% 171.71/26.31  |   (80)   ~ (all_4_2 = e0)
% 171.71/26.31  | 
% 171.71/26.31  | SIMP: (80) implies:
% 171.71/26.31  |   (81)   ~ (all_4_2 = e0)
% 171.71/26.31  | 
% 171.71/26.31  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 171.71/26.31  |            (13), (14), (15), (16), (17), (19), (20), (21), (22), (23), (25),
% 171.71/26.31  |            (26), (27), (28), (29), (30), (31), (32), (33), (34), (35), (37),
% 171.71/26.31  |            (38), (39), (40), (41), (43), (44), (45), (46), (47), (48), (49),
% 171.71/26.31  |            (50), (51), (52), (53), (54), (55), (56), (57), (58), (59), (60),
% 171.71/26.31  |            (61), (62), (63), (64), (65), (67), (68), (69), (70), (71), (72),
% 171.71/26.31  |            (73), (75), (77), (79), (81) are inconsistent by sub-proof #222.
% 171.71/26.31  | 
% 171.71/26.31  End of proof
% 171.71/26.31  
% 171.71/26.31  Sub-proof #185 shows that the following formulas are inconsistent:
% 171.71/26.31  ----------------------------------------------------------------
% 171.71/26.31    (1)  all_56_1 = all_52_4
% 171.71/26.31    (2)  all_56_12 = all_52_3
% 171.71/26.31    (3)   ~ (all_10_2 = e0)
% 171.71/26.31    (4)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.71/26.31    (5)  all_56_5 = all_52_9
% 171.71/26.31    (6)  op(all_6_2, e3) = all_6_1
% 171.71/26.31    (7)   ~ (all_52_12 = all_6_2)
% 171.71/26.31    (8)  op(e3, all_6_2) = all_58_0
% 171.71/26.31    (9)  all_56_14 = all_52_11
% 171.71/26.31    (10)  all_56_8 = all_10_2
% 171.71/26.31    (11)  all_58_26 = all_10_2
% 171.71/26.31    (12)   ~ (all_52_3 = all_6_2)
% 171.71/26.31    (13)   ~ (all_52_4 = e0)
% 171.71/26.31    (14)  op(all_6_1, all_6_2) = e0
% 171.71/26.31    (15)  all_56_0 = all_6_2
% 171.71/26.31    (16)   ~ (all_52_9 = all_10_2)
% 171.71/26.31    (17)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.71/26.31    (18)  all_58_17 = all_52_1
% 171.71/26.31    (19)  all_58_19 = all_52_3
% 171.71/26.31    (20)  all_56_9 = all_52_12
% 171.71/26.31    (21)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.71/26.31    (22)   ~ (all_52_3 = e1)
% 171.71/26.31    (23)   ~ (all_52_9 = all_14_0)
% 171.71/26.31    (24)  all_58_18 = all_52_2
% 171.71/26.31    (25)  all_58_16 = all_6_2
% 171.71/26.31    (26)  op(e0, e3) = all_52_3
% 171.71/26.31    (27)   ~ (all_52_12 = e0)
% 171.71/26.31    (28)  all_56_2 = all_52_1
% 171.71/26.31    (29)   ~ (all_14_0 = e1)
% 171.71/26.31    (30)   ~ (all_14_0 = all_10_2)
% 171.71/26.31    (31)  op(e3, e0) = all_52_12
% 171.71/26.31    (32)  all_56_4 = all_52_8
% 171.71/26.31    (33)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 171.71/26.31    (34)   ~ (all_52_8 = all_14_0)
% 171.71/26.31    (35)   ~ (all_52_3 = all_14_0)
% 171.71/26.31    (36)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.71/26.31    (37)  all_56_6 = all_52_2
% 171.71/26.31    (38)  all_58_27 = all_14_0
% 171.71/26.31    (39)  all_58_24 = all_52_8
% 171.71/26.31    (40)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 171.71/26.31    (41)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 171.71/26.31    (42)   ~ (all_52_11 = e0)
% 171.71/26.31    (43)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 171.71/26.31    (44)  all_58_25 = all_52_9
% 171.71/26.31    (45)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.31            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.31    (46)  all_54_12 = all_52_3
% 171.71/26.31    (47)   ~ (all_52_1 = all_52_3)
% 171.71/26.31    (48)  all_54_14 = all_14_0
% 171.71/26.31    (49)   ~ (all_52_8 = e0)
% 171.71/26.31    (50)   ~ (all_52_2 = all_10_2)
% 171.71/26.31  
% 171.71/26.31  Begin of proof
% 171.71/26.31  | 
% 171.71/26.31  | BETA: splitting (36) gives:
% 171.71/26.31  | 
% 171.71/26.31  | Case 1:
% 171.71/26.31  | | 
% 171.71/26.31  | |   (51)  all_56_0 = e0
% 171.71/26.31  | | 
% 171.71/26.31  | | COMBINE_EQS: (15), (51) imply:
% 171.71/26.31  | |   (52)  all_6_2 = e0
% 171.71/26.31  | | 
% 171.71/26.31  | | COMBINE_EQS: (25), (52) imply:
% 171.71/26.31  | |   (53)  all_58_16 = e0
% 171.71/26.31  | | 
% 171.71/26.31  | | REDUCE: (12), (52) imply:
% 171.71/26.31  | |   (54)   ~ (all_52_3 = e0)
% 171.71/26.31  | | 
% 171.71/26.31  | | REDUCE: (14), (52) imply:
% 171.71/26.31  | |   (55)  op(all_6_1, e0) = e0
% 171.71/26.31  | | 
% 171.71/26.31  | | REDUCE: (6), (52) imply:
% 171.71/26.31  | |   (56)  op(e0, e3) = all_6_1
% 171.71/26.31  | | 
% 171.71/26.31  | | REDUCE: (8), (52) imply:
% 171.71/26.31  | |   (57)  op(e3, e0) = all_58_0
% 171.71/26.31  | | 
% 171.71/26.31  | | BETA: splitting (43) gives:
% 171.71/26.31  | | 
% 171.71/26.31  | | Case 1:
% 171.71/26.31  | | | 
% 171.71/26.31  | | |   (58)  all_56_5 = e0
% 171.71/26.31  | | | 
% 171.71/26.31  | | | COMBINE_EQS: (5), (58) imply:
% 171.71/26.31  | | |   (59)  all_52_9 = e0
% 171.71/26.31  | | | 
% 171.71/26.31  | | | COMBINE_EQS: (44), (59) imply:
% 171.71/26.31  | | |   (60)  all_58_25 = e0
% 171.71/26.31  | | | 
% 171.71/26.31  | | | REDUCE: (23), (59) imply:
% 171.71/26.31  | | |   (61)   ~ (all_14_0 = e0)
% 171.71/26.31  | | | 
% 171.71/26.31  | | | SIMP: (61) implies:
% 171.71/26.31  | | |   (62)   ~ (all_14_0 = e0)
% 171.71/26.31  | | | 
% 171.71/26.31  | | | REDUCE: (16), (59) imply:
% 171.71/26.31  | | |   (63)   ~ (all_10_2 = e0)
% 171.71/26.31  | | | 
% 171.71/26.31  | | | REF_CLOSE: (2), (3), (4), (11), (17), (18), (19), (21), (22), (24), (26),
% 171.71/26.31  | | |            (27), (28), (29), (30), (31), (33), (34), (35), (37), (38),
% 171.71/26.31  | | |            (39), (40), (41), (45), (46), (47), (48), (50), (51), (53),
% 171.71/26.31  | | |            (54), (55), (56), (57), (60), (62) are inconsistent by
% 171.71/26.31  | | |            sub-proof #186.
% 171.71/26.31  | | | 
% 171.71/26.31  | | Case 2:
% 171.71/26.31  | | | 
% 171.71/26.31  | | |   (64)  all_56_8 = e0 | all_56_14 = e0
% 171.71/26.31  | | | 
% 171.71/26.31  | | | REF_CLOSE: (3), (9), (10), (42), (64) are inconsistent by sub-proof #914.
% 171.71/26.31  | | | 
% 171.71/26.31  | | End of split
% 171.71/26.31  | | 
% 171.71/26.31  | Case 2:
% 171.71/26.31  | | 
% 171.71/26.31  | |   (65)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.71/26.31  | | 
% 171.71/26.31  | | REF_CLOSE: (1), (13), (20), (27), (32), (49), (65) are inconsistent by
% 171.71/26.31  | |            sub-proof #562.
% 171.71/26.31  | | 
% 171.71/26.31  | End of split
% 171.71/26.31  | 
% 171.71/26.31  End of proof
% 171.71/26.31  
% 171.71/26.31  Sub-proof #186 shows that the following formulas are inconsistent:
% 171.71/26.31  ----------------------------------------------------------------
% 171.71/26.31    (1)  all_56_12 = all_52_3
% 171.71/26.31    (2)   ~ (all_10_2 = e0)
% 171.71/26.31    (3)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.71/26.31    (4)  all_58_26 = all_10_2
% 171.71/26.31    (5)  all_58_25 = e0
% 171.71/26.31    (6)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.71/26.31    (7)  all_58_17 = all_52_1
% 171.71/26.31    (8)  all_58_19 = all_52_3
% 171.71/26.31    (9)  op(e3, e0) = all_58_0
% 171.71/26.31    (10)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.71/26.31    (11)   ~ (all_52_3 = e1)
% 171.71/26.31    (12)  all_58_18 = all_52_2
% 171.71/26.31    (13)  all_58_16 = e0
% 171.71/26.31    (14)  op(e0, e3) = all_52_3
% 171.71/26.31    (15)   ~ (all_52_12 = e0)
% 171.71/26.31    (16)  all_56_2 = all_52_1
% 171.71/26.31    (17)   ~ (all_14_0 = e1)
% 171.71/26.31    (18)   ~ (all_14_0 = all_10_2)
% 171.71/26.31    (19)  op(e0, e3) = all_6_1
% 171.71/26.31    (20)  op(e3, e0) = all_52_12
% 171.71/26.31    (21)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 171.71/26.31    (22)   ~ (all_52_8 = all_14_0)
% 171.71/26.31    (23)   ~ (all_52_3 = all_14_0)
% 171.71/26.31    (24)  all_56_6 = all_52_2
% 171.71/26.31    (25)  all_58_27 = all_14_0
% 171.71/26.31    (26)  all_58_24 = all_52_8
% 171.71/26.31    (27)  op(all_6_1, e0) = e0
% 171.71/26.31    (28)   ~ (all_14_0 = e0)
% 171.71/26.31    (29)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 171.71/26.31    (30)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 171.71/26.31    (31)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.31            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.31    (32)  all_54_12 = all_52_3
% 171.71/26.31    (33)   ~ (all_52_3 = e0)
% 171.71/26.31    (34)  all_56_0 = e0
% 171.71/26.31    (35)   ~ (all_52_1 = all_52_3)
% 171.71/26.31    (36)  all_54_14 = all_14_0
% 171.71/26.31    (37)   ~ (all_52_2 = all_10_2)
% 171.71/26.31  
% 171.71/26.31  Begin of proof
% 171.71/26.31  | 
% 171.71/26.31  | GROUND_INST: instantiating (31) with all_52_3, all_6_1, e3, e0, simplifying
% 171.71/26.31  |              with (14), (19) gives:
% 171.71/26.31  |   (38)  all_52_3 = all_6_1
% 171.71/26.31  | 
% 171.71/26.31  | GROUND_INST: instantiating (31) with all_52_12, all_58_0, e0, e3, simplifying
% 171.71/26.31  |              with (9), (20) gives:
% 171.71/26.31  |   (39)  all_58_0 = all_52_12
% 171.71/26.31  | 
% 171.71/26.31  | COMBINE_EQS: (32), (38) imply:
% 171.71/26.31  |   (40)  all_54_12 = all_6_1
% 171.71/26.31  | 
% 171.71/26.31  | COMBINE_EQS: (1), (38) imply:
% 171.71/26.31  |   (41)  all_56_12 = all_6_1
% 171.71/26.31  | 
% 171.71/26.31  | COMBINE_EQS: (8), (38) imply:
% 171.71/26.31  |   (42)  all_58_19 = all_6_1
% 171.71/26.31  | 
% 171.71/26.31  | REDUCE: (35), (38) imply:
% 171.71/26.31  |   (43)   ~ (all_52_1 = all_6_1)
% 171.71/26.31  | 
% 171.71/26.31  | REDUCE: (23), (38) imply:
% 171.71/26.31  |   (44)   ~ (all_14_0 = all_6_1)
% 171.71/26.31  | 
% 171.71/26.31  | SIMP: (44) implies:
% 171.71/26.31  |   (45)   ~ (all_14_0 = all_6_1)
% 171.71/26.31  | 
% 171.71/26.31  | REDUCE: (11), (38) imply:
% 171.71/26.31  |   (46)   ~ (all_6_1 = e1)
% 171.71/26.31  | 
% 171.71/26.31  | REDUCE: (33), (38) imply:
% 171.71/26.31  |   (47)   ~ (all_6_1 = e0)
% 171.71/26.31  | 
% 171.71/26.31  | BETA: splitting (21) gives:
% 171.71/26.31  | 
% 171.71/26.31  | Case 1:
% 171.71/26.31  | | 
% 171.71/26.31  | |   (48)  all_56_12 = e3
% 171.71/26.31  | | 
% 171.71/26.31  | | COMBINE_EQS: (41), (48) imply:
% 171.71/26.31  | |   (49)  all_6_1 = e3
% 171.71/26.31  | | 
% 171.71/26.31  | | SIMP: (49) implies:
% 171.71/26.31  | |   (50)  all_6_1 = e3
% 171.71/26.31  | | 
% 171.71/26.31  | | REDUCE: (27), (50) imply:
% 171.71/26.31  | |   (51)  op(e3, e0) = e0
% 171.71/26.31  | | 
% 171.71/26.31  | | GROUND_INST: instantiating (31) with all_52_12, e0, e0, e3, simplifying with
% 171.71/26.31  | |              (20), (51) gives:
% 171.71/26.31  | |   (52)  all_52_12 = e0
% 171.71/26.31  | | 
% 171.71/26.31  | | REDUCE: (15), (52) imply:
% 171.71/26.31  | |   (53)  $false
% 171.71/26.31  | | 
% 171.71/26.31  | | CLOSE: (53) is inconsistent.
% 171.71/26.31  | | 
% 171.71/26.31  | Case 2:
% 171.71/26.31  | | 
% 171.71/26.31  | |   (54)   ~ (all_56_12 = e3)
% 171.71/26.31  | | 
% 171.71/26.31  | | REDUCE: (41), (54) imply:
% 171.71/26.31  | |   (55)   ~ (all_6_1 = e3)
% 171.71/26.31  | | 
% 171.71/26.31  | | BETA: splitting (29) gives:
% 171.71/26.31  | | 
% 171.71/26.31  | | Case 1:
% 171.71/26.31  | | | 
% 171.71/26.31  | | |   (56)  all_54_12 = e1
% 171.71/26.31  | | | 
% 171.71/26.31  | | | REF_CLOSE: (40), (46), (56) are inconsistent by sub-proof #641.
% 171.71/26.31  | | | 
% 171.71/26.31  | | Case 2:
% 171.71/26.31  | | | 
% 171.71/26.31  | | |   (57)   ~ (all_54_12 = e1)
% 171.71/26.31  | | |   (58)  all_54_12 = e3 | all_54_12 = e2
% 171.71/26.31  | | | 
% 171.71/26.31  | | | BETA: splitting (58) gives:
% 171.71/26.31  | | | 
% 171.71/26.31  | | | Case 1:
% 171.71/26.31  | | | | 
% 171.71/26.31  | | | |   (59)  all_54_12 = e2
% 171.71/26.31  | | | | 
% 171.71/26.31  | | | | COMBINE_EQS: (40), (59) imply:
% 171.71/26.31  | | | |   (60)  all_6_1 = e2
% 171.71/26.31  | | | | 
% 171.71/26.31  | | | | SIMP: (60) implies:
% 171.71/26.31  | | | |   (61)  all_6_1 = e2
% 171.71/26.31  | | | | 
% 171.71/26.31  | | | | REDUCE: (45), (61) imply:
% 171.71/26.31  | | | |   (62)   ~ (all_14_0 = e2)
% 171.71/26.31  | | | | 
% 171.71/26.31  | | | | REDUCE: (46), (61) imply:
% 171.71/26.31  | | | |   (63)   ~ (e2 = e1)
% 171.71/26.31  | | | | 
% 171.71/26.31  | | | | REDUCE: (47), (61) imply:
% 171.71/26.31  | | | |   (64)   ~ (e2 = e0)
% 171.71/26.31  | | | | 
% 171.71/26.31  | | | | BETA: splitting (30) gives:
% 171.71/26.31  | | | | 
% 171.71/26.31  | | | | Case 1:
% 171.71/26.31  | | | | | 
% 171.71/26.31  | | | | |   (65)  all_54_14 = e1
% 171.71/26.31  | | | | | 
% 171.71/26.31  | | | | | COMBINE_EQS: (36), (65) imply:
% 171.71/26.31  | | | | |   (66)  all_14_0 = e1
% 171.71/26.31  | | | | | 
% 171.71/26.31  | | | | | REDUCE: (17), (66) imply:
% 171.71/26.31  | | | | |   (67)  $false
% 171.71/26.31  | | | | | 
% 171.71/26.31  | | | | | CLOSE: (67) is inconsistent.
% 171.71/26.31  | | | | | 
% 171.71/26.31  | | | | Case 2:
% 171.71/26.31  | | | | | 
% 171.71/26.31  | | | | |   (68)  all_54_14 = e3 | all_54_14 = e2
% 171.71/26.31  | | | | | 
% 171.71/26.31  | | | | | BETA: splitting (68) gives:
% 171.71/26.31  | | | | | 
% 171.71/26.31  | | | | | Case 1:
% 171.71/26.31  | | | | | | 
% 171.71/26.31  | | | | | |   (69)  all_54_14 = e2
% 171.71/26.31  | | | | | | 
% 171.71/26.31  | | | | | | COMBINE_EQS: (36), (69) imply:
% 171.71/26.31  | | | | | |   (70)  all_14_0 = e2
% 171.71/26.31  | | | | | | 
% 171.71/26.31  | | | | | | REDUCE: (62), (70) imply:
% 171.71/26.31  | | | | | |   (71)  $false
% 171.71/26.31  | | | | | | 
% 171.71/26.31  | | | | | | CLOSE: (71) is inconsistent.
% 171.71/26.31  | | | | | | 
% 171.71/26.31  | | | | | Case 2:
% 171.71/26.31  | | | | | | 
% 171.71/26.31  | | | | | |   (72)  all_54_14 = e3
% 171.71/26.31  | | | | | | 
% 171.71/26.31  | | | | | | COMBINE_EQS: (36), (72) imply:
% 171.71/26.31  | | | | | |   (73)  all_14_0 = e3
% 171.71/26.31  | | | | | | 
% 171.71/26.31  | | | | | | COMBINE_EQS: (25), (73) imply:
% 171.71/26.31  | | | | | |   (74)  all_58_27 = e3
% 171.71/26.31  | | | | | | 
% 171.71/26.31  | | | | | | REDUCE: (22), (73) imply:
% 171.71/26.31  | | | | | |   (75)   ~ (all_52_8 = e3)
% 171.71/26.31  | | | | | | 
% 171.71/26.31  | | | | | | REDUCE: (18), (73) imply:
% 171.71/26.31  | | | | | |   (76)   ~ (all_10_2 = e3)
% 171.71/26.31  | | | | | | 
% 171.71/26.31  | | | | | | SIMP: (76) implies:
% 171.71/26.31  | | | | | |   (77)   ~ (all_10_2 = e3)
% 171.71/26.31  | | | | | | 
% 171.71/26.31  | | | | | | REDUCE: (28), (73) imply:
% 171.71/26.31  | | | | | |   (78)   ~ (e3 = e0)
% 171.71/26.31  | | | | | | 
% 171.71/26.31  | | | | | | BETA: splitting (6) gives:
% 171.71/26.31  | | | | | | 
% 171.71/26.31  | | | | | | Case 1:
% 171.71/26.31  | | | | | | | 
% 171.71/26.31  | | | | | | |   (79)  all_58_27 = e0
% 171.71/26.31  | | | | | | | 
% 171.71/26.31  | | | | | | | COMBINE_EQS: (74), (79) imply:
% 171.71/26.31  | | | | | | |   (80)  e3 = e0
% 171.71/26.31  | | | | | | | 
% 171.71/26.31  | | | | | | | REDUCE: (78), (80) imply:
% 171.71/26.31  | | | | | | |   (81)  $false
% 171.71/26.31  | | | | | | | 
% 171.71/26.31  | | | | | | | CLOSE: (81) is inconsistent.
% 171.71/26.31  | | | | | | | 
% 171.71/26.31  | | | | | | Case 2:
% 171.71/26.31  | | | | | | | 
% 171.71/26.31  | | | | | | |   (82)   ~ (all_58_27 = e0)
% 171.71/26.31  | | | | | | |   (83)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 171.71/26.31  | | | | | | | 
% 171.71/26.31  | | | | | | | BETA: splitting (83) gives:
% 171.71/26.31  | | | | | | | 
% 171.71/26.31  | | | | | | | Case 1:
% 171.71/26.31  | | | | | | | | 
% 171.71/26.31  | | | | | | | |   (84)  all_58_26 = e1
% 171.71/26.31  | | | | | | | | 
% 171.71/26.31  | | | | | | | | COMBINE_EQS: (4), (84) imply:
% 171.71/26.31  | | | | | | | |   (85)  all_10_2 = e1
% 171.71/26.31  | | | | | | | | 
% 171.71/26.31  | | | | | | | | REDUCE: (37), (85) imply:
% 171.71/26.31  | | | | | | | |   (86)   ~ (all_52_2 = e1)
% 171.71/26.31  | | | | | | | | 
% 171.71/26.31  | | | | | | | | REDUCE: (77), (85) imply:
% 171.71/26.31  | | | | | | | |   (87)   ~ (e3 = e1)
% 171.71/26.31  | | | | | | | | 
% 171.71/26.31  | | | | | | | | SIMP: (87) implies:
% 171.71/26.31  | | | | | | | |   (88)   ~ (e3 = e1)
% 171.71/26.31  | | | | | | | | 
% 171.71/26.31  | | | | | | | | REDUCE: (2), (85) imply:
% 171.71/26.31  | | | | | | | |   (89)   ~ (e1 = e0)
% 171.71/26.31  | | | | | | | | 
% 171.71/26.31  | | | | | | | | BETA: splitting (10) gives:
% 171.71/26.31  | | | | | | | | 
% 171.71/26.31  | | | | | | | | Case 1:
% 171.71/26.31  | | | | | | | | | 
% 171.71/26.31  | | | | | | | | |   (90)  all_56_0 = e1
% 171.71/26.31  | | | | | | | | | 
% 171.71/26.31  | | | | | | | | | REF_CLOSE: (34), (89), (90) are inconsistent by sub-proof
% 171.71/26.31  | | | | | | | | |            #603.
% 171.71/26.31  | | | | | | | | | 
% 171.71/26.31  | | | | | | | | Case 2:
% 171.71/26.31  | | | | | | | | | 
% 171.71/26.31  | | | | | | | | |   (91)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.71/26.31  | | | | | | | | | 
% 171.71/26.31  | | | | | | | | | REF_CLOSE: (3), (7), (12), (13), (16), (24), (29), (40), (41),
% 171.71/26.31  | | | | | | | | |            (42), (43), (46), (47), (63), (78), (86), (88),
% 171.71/26.31  | | | | | | | | |            (91) are inconsistent by sub-proof #500.
% 171.71/26.31  | | | | | | | | | 
% 171.71/26.31  | | | | | | | | End of split
% 171.71/26.31  | | | | | | | | 
% 171.71/26.31  | | | | | | | Case 2:
% 171.71/26.31  | | | | | | | | 
% 171.71/26.31  | | | | | | | |   (92)  all_58_24 = e3 | all_58_25 = e2
% 171.71/26.31  | | | | | | | | 
% 171.71/26.31  | | | | | | | | REF_CLOSE: (5), (26), (64), (75), (92) are inconsistent by
% 171.71/26.31  | | | | | | | |            sub-proof #849.
% 171.71/26.31  | | | | | | | | 
% 171.71/26.31  | | | | | | | End of split
% 171.71/26.31  | | | | | | | 
% 171.71/26.31  | | | | | | End of split
% 171.71/26.31  | | | | | | 
% 171.71/26.31  | | | | | End of split
% 171.71/26.31  | | | | | 
% 171.71/26.31  | | | | End of split
% 171.71/26.31  | | | | 
% 171.71/26.31  | | | Case 2:
% 171.71/26.31  | | | | 
% 171.71/26.31  | | | |   (93)  all_54_12 = e3
% 171.71/26.31  | | | | 
% 171.71/26.31  | | | | REF_CLOSE: (40), (55), (93) are inconsistent by sub-proof #639.
% 171.71/26.31  | | | | 
% 171.71/26.31  | | | End of split
% 171.71/26.31  | | | 
% 171.71/26.31  | | End of split
% 171.71/26.31  | | 
% 171.71/26.31  | End of split
% 171.71/26.31  | 
% 171.71/26.31  End of proof
% 171.71/26.31  
% 171.71/26.31  Sub-proof #187 shows that the following formulas are inconsistent:
% 171.71/26.31  ----------------------------------------------------------------
% 171.71/26.31    (1)  all_56_1 = all_52_4
% 171.71/26.31    (2)  all_56_12 = all_52_3
% 171.71/26.31    (3)   ~ (all_10_2 = e0)
% 171.71/26.31    (4)   ~ (all_52_8 = all_52_12)
% 171.71/26.31    (5)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 171.71/26.31    (6)   ~ (all_52_2 = all_6_2)
% 171.71/26.31    (7)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.71/26.31    (8)  all_54_3 = all_52_12
% 171.71/26.31    (9)  all_56_5 = all_52_9
% 171.71/26.31    (10)   ~ (all_52_12 = all_6_2)
% 171.71/26.31    (11)  op(e3, all_52_4) = all_58_1
% 171.71/26.31    (12)  op(all_10_2, e1) = all_10_1
% 171.71/26.31    (13)   ~ (all_52_3 = all_52_7)
% 171.71/26.31    (14)  all_56_14 = all_52_11
% 171.71/26.31    (15)  all_56_8 = all_10_2
% 171.71/26.31    (16)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.71/26.31    (17)  all_58_30 = e0
% 171.71/26.31    (18)  all_58_26 = all_10_2
% 171.71/26.31    (19)   ~ (all_52_4 = e0)
% 171.71/26.31    (20)  all_56_0 = all_6_2
% 171.71/26.31    (21)   ~ (all_52_9 = all_10_2)
% 171.71/26.31    (22)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.71/26.31    (23)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 171.71/26.31    (24)  all_58_17 = all_52_1
% 171.71/26.31    (25)  op(e3, e1) = all_52_8
% 171.71/26.31    (26)  all_58_19 = all_52_3
% 171.71/26.31    (27)  all_56_9 = all_52_12
% 171.71/26.31    (28)   ~ (all_52_12 = e1)
% 171.71/26.31    (29)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 171.71/26.31    (30)   ~ (all_52_2 = e0)
% 171.71/26.31    (31)  all_58_18 = all_52_2
% 171.71/26.31    (32)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 171.71/26.31    (33)  all_58_16 = all_6_2
% 171.71/26.31    (34)  all_56_13 = all_52_7
% 171.71/26.31    (35)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 171.71/26.31    (36)  all_56_2 = all_52_1
% 171.71/26.31    (37)  all_58_29 = all_52_13
% 171.71/26.31    (38)   ~ (all_52_1 = all_52_2)
% 171.71/26.31    (39)   ~ (all_4_2 = e0)
% 171.71/26.31    (40)  all_56_4 = all_52_8
% 171.71/26.31    (41)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 171.71/26.31    (42)  all_54_10 = all_10_2
% 171.71/26.31    (43)   ~ (all_52_8 = all_14_0)
% 171.71/26.31    (44)  all_56_6 = all_52_2
% 171.71/26.31    (45)  all_58_27 = all_14_0
% 171.71/26.31    (46)   ~ (all_52_1 = all_52_9)
% 171.71/26.31    (47)  all_58_24 = all_52_8
% 171.71/26.31    (48)  all_56_3 = all_4_2
% 171.71/26.31    (49)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 171.71/26.31    (50)   ~ (all_52_11 = e0)
% 171.71/26.31    (51)  all_58_25 = all_52_9
% 171.71/26.31    (52)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.31            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.31    (53)   ~ (all_52_6 = e0)
% 171.71/26.31    (54)   ~ (e2 = e0)
% 171.71/26.31    (55)   ~ (all_52_1 = all_52_3)
% 171.71/26.31    (56)  all_58_28 = all_52_12
% 171.71/26.31    (57)   ~ (e1 = e0)
% 171.71/26.31    (58)  all_56_7 = all_52_6
% 171.71/26.31    (59)  all_58_31 = e1
% 171.71/26.31    (60)   ~ (all_52_2 = all_10_2)
% 171.71/26.31    (61)   ~ (all_10_1 = e0)
% 171.71/26.31    (62)   ~ (all_52_12 = all_52_13)
% 171.71/26.31  
% 171.71/26.31  Begin of proof
% 171.71/26.31  | 
% 171.71/26.31  | BETA: splitting (5) gives:
% 171.71/26.31  | 
% 171.71/26.31  | Case 1:
% 171.71/26.31  | | 
% 171.71/26.31  | |   (63)  all_56_2 = e0
% 171.71/26.31  | | 
% 171.71/26.31  | | COMBINE_EQS: (36), (63) imply:
% 171.71/26.31  | |   (64)  all_52_1 = e0
% 171.71/26.31  | | 
% 171.71/26.31  | | COMBINE_EQS: (24), (64) imply:
% 171.71/26.31  | |   (65)  all_58_17 = e0
% 171.71/26.31  | | 
% 171.71/26.31  | | REDUCE: (38), (64) imply:
% 171.71/26.31  | |   (66)   ~ (all_52_2 = e0)
% 171.71/26.31  | | 
% 171.71/26.31  | | REDUCE: (55), (64) imply:
% 171.71/26.31  | |   (67)   ~ (all_52_3 = e0)
% 171.71/26.31  | | 
% 171.71/26.31  | | SIMP: (67) implies:
% 171.71/26.31  | |   (68)   ~ (all_52_3 = e0)
% 171.71/26.31  | | 
% 171.71/26.31  | | BETA: splitting (35) gives:
% 171.71/26.31  | | 
% 171.71/26.31  | | Case 1:
% 171.71/26.31  | | | 
% 171.71/26.31  | | |   (69)  all_56_4 = e0
% 171.71/26.31  | | | 
% 171.71/26.31  | | | COMBINE_EQS: (40), (69) imply:
% 171.71/26.31  | | |   (70)  all_52_8 = e0
% 171.71/26.31  | | | 
% 171.71/26.31  | | | COMBINE_EQS: (47), (70) imply:
% 171.71/26.31  | | |   (71)  all_58_24 = e0
% 171.71/26.31  | | | 
% 171.71/26.31  | | | REDUCE: (4), (70) imply:
% 171.71/26.31  | | |   (72)   ~ (all_52_12 = e0)
% 171.71/26.31  | | | 
% 171.71/26.31  | | | SIMP: (72) implies:
% 171.71/26.31  | | |   (73)   ~ (all_52_12 = e0)
% 171.71/26.31  | | | 
% 171.71/26.31  | | | REDUCE: (43), (70) imply:
% 171.71/26.31  | | |   (74)   ~ (all_14_0 = e0)
% 171.71/26.31  | | | 
% 171.71/26.31  | | | SIMP: (74) implies:
% 171.71/26.31  | | |   (75)   ~ (all_14_0 = e0)
% 171.71/26.31  | | | 
% 171.71/26.31  | | | REDUCE: (25), (70) imply:
% 171.71/26.31  | | |   (76)  op(e3, e1) = e0
% 171.71/26.31  | | | 
% 171.71/26.31  | | | REF_CLOSE: (1), (6), (7), (8), (10), (11), (12), (16), (17), (18), (20),
% 171.71/26.31  | | |            (21), (22), (23), (26), (27), (28), (29), (30), (31), (33),
% 171.71/26.31  | | |            (37), (41), (42), (45), (49), (51), (52), (54), (56), (57),
% 171.71/26.31  | | |            (59), (60), (61), (62), (65), (68), (69), (71), (73), (75),
% 171.71/26.31  | | |            (76) are inconsistent by sub-proof #188.
% 171.71/26.31  | | | 
% 171.71/26.31  | | Case 2:
% 171.71/26.31  | | | 
% 171.71/26.31  | | |   (77)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 171.71/26.31  | | | 
% 171.71/26.31  | | | REF_CLOSE: (2), (3), (5), (9), (14), (15), (30), (36), (44), (46), (50),
% 171.71/26.31  | | |            (68), (77) are inconsistent by sub-proof #913.
% 171.71/26.31  | | | 
% 171.71/26.31  | | End of split
% 171.71/26.31  | | 
% 171.71/26.31  | Case 2:
% 171.71/26.31  | | 
% 171.71/26.31  | |   (78)  all_56_6 = e0 | all_56_12 = e0
% 171.71/26.31  | | 
% 171.71/26.31  | | REF_CLOSE: (1), (2), (13), (19), (30), (32), (34), (39), (44), (48), (53),
% 171.71/26.31  | |            (58), (78) are inconsistent by sub-proof #653.
% 171.71/26.31  | | 
% 171.71/26.31  | End of split
% 171.71/26.31  | 
% 171.71/26.31  End of proof
% 171.71/26.31  
% 171.71/26.31  Sub-proof #188 shows that the following formulas are inconsistent:
% 171.71/26.31  ----------------------------------------------------------------
% 171.71/26.31    (1)  all_56_1 = all_52_4
% 171.71/26.31    (2)   ~ (all_52_2 = all_6_2)
% 171.71/26.31    (3)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.71/26.31    (4)  all_54_3 = all_52_12
% 171.71/26.31    (5)   ~ (all_52_12 = all_6_2)
% 171.71/26.31    (6)  op(e3, all_52_4) = all_58_1
% 171.71/26.31    (7)  op(all_10_2, e1) = all_10_1
% 171.71/26.31    (8)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.71/26.31    (9)  all_58_30 = e0
% 171.71/26.31    (10)  all_58_26 = all_10_2
% 171.71/26.31    (11)  all_56_0 = all_6_2
% 171.71/26.31    (12)   ~ (all_52_9 = all_10_2)
% 171.71/26.31    (13)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.71/26.31    (14)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 171.71/26.31    (15)  all_58_19 = all_52_3
% 171.71/26.31    (16)  all_56_9 = all_52_12
% 171.71/26.31    (17)   ~ (all_52_12 = e1)
% 171.71/26.31    (18)  all_56_4 = e0
% 171.71/26.31    (19)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 171.71/26.31    (20)   ~ (all_52_2 = e0)
% 171.71/26.31    (21)  all_58_18 = all_52_2
% 171.71/26.31    (22)  all_58_16 = all_6_2
% 171.71/26.31    (23)   ~ (all_52_12 = e0)
% 171.71/26.31    (24)  all_58_29 = all_52_13
% 171.71/26.31    (25)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 171.71/26.31    (26)  all_54_10 = all_10_2
% 171.71/26.31    (27)  all_58_17 = e0
% 171.71/26.31    (28)  op(e3, e1) = e0
% 171.71/26.31    (29)  all_58_27 = all_14_0
% 171.71/26.31    (30)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 171.71/26.31    (31)   ~ (all_14_0 = e0)
% 171.71/26.31    (32)  all_58_24 = e0
% 171.71/26.31    (33)  all_58_25 = all_52_9
% 171.71/26.31    (34)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.31            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.31    (35)   ~ (all_52_3 = e0)
% 171.71/26.31    (36)   ~ (e2 = e0)
% 171.71/26.31    (37)  all_58_28 = all_52_12
% 171.71/26.31    (38)   ~ (e1 = e0)
% 171.71/26.31    (39)  all_58_31 = e1
% 171.71/26.31    (40)   ~ (all_52_2 = all_10_2)
% 171.71/26.31    (41)   ~ (all_10_1 = e0)
% 171.71/26.31    (42)   ~ (all_52_12 = all_52_13)
% 171.71/26.31  
% 171.71/26.31  Begin of proof
% 171.71/26.31  | 
% 171.71/26.31  | BETA: splitting (19) gives:
% 171.71/26.31  | 
% 171.71/26.31  | Case 1:
% 171.71/26.31  | | 
% 171.71/26.31  | |   (43)  all_56_9 = e3
% 171.71/26.31  | | 
% 171.71/26.31  | | COMBINE_EQS: (16), (43) imply:
% 171.71/26.31  | |   (44)  all_52_12 = e3
% 171.71/26.31  | | 
% 171.71/26.31  | | SIMP: (44) implies:
% 171.71/26.31  | |   (45)  all_52_12 = e3
% 171.71/26.31  | | 
% 171.71/26.31  | | REDUCE: (5), (45) imply:
% 171.71/26.31  | |   (46)   ~ (all_6_2 = e3)
% 171.71/26.31  | | 
% 171.71/26.31  | | SIMP: (46) implies:
% 171.71/26.31  | |   (47)   ~ (all_6_2 = e3)
% 171.71/26.31  | | 
% 171.71/26.31  | | REDUCE: (23), (45) imply:
% 171.71/26.31  | |   (48)   ~ (e3 = e0)
% 171.71/26.31  | | 
% 171.71/26.31  | | BETA: splitting (3) gives:
% 171.71/26.31  | | 
% 171.71/26.31  | | Case 1:
% 171.71/26.31  | | | 
% 171.71/26.31  | | |   (49)  all_58_19 = e0
% 171.71/26.31  | | | 
% 171.71/26.31  | | | COMBINE_EQS: (15), (49) imply:
% 171.71/26.31  | | |   (50)  all_52_3 = e0
% 171.71/26.31  | | | 
% 171.71/26.31  | | | REDUCE: (35), (50) imply:
% 171.71/26.31  | | |   (51)  $false
% 171.71/26.31  | | | 
% 171.71/26.31  | | | CLOSE: (51) is inconsistent.
% 171.71/26.31  | | | 
% 171.71/26.31  | | Case 2:
% 171.71/26.31  | | | 
% 171.71/26.31  | | |   (52)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 171.71/26.31  | | | 
% 171.71/26.31  | | | BETA: splitting (52) gives:
% 171.71/26.31  | | | 
% 171.71/26.31  | | | Case 1:
% 171.71/26.31  | | | | 
% 171.71/26.31  | | | |   (53)  all_58_18 = e1
% 171.71/26.31  | | | | 
% 171.71/26.31  | | | | COMBINE_EQS: (21), (53) imply:
% 171.71/26.31  | | | |   (54)  all_52_2 = e1
% 171.71/26.31  | | | | 
% 171.71/26.31  | | | | REDUCE: (40), (54) imply:
% 171.71/26.31  | | | |   (55)   ~ (all_10_2 = e1)
% 171.71/26.31  | | | | 
% 171.71/26.31  | | | | SIMP: (55) implies:
% 171.71/26.31  | | | |   (56)   ~ (all_10_2 = e1)
% 171.71/26.31  | | | | 
% 171.71/26.31  | | | | REDUCE: (2), (54) imply:
% 171.71/26.31  | | | |   (57)   ~ (all_6_2 = e1)
% 171.71/26.31  | | | | 
% 171.71/26.31  | | | | SIMP: (57) implies:
% 171.71/26.31  | | | |   (58)   ~ (all_6_2 = e1)
% 171.71/26.31  | | | | 
% 171.71/26.31  | | | | BETA: splitting (30) gives:
% 171.71/26.31  | | | | 
% 171.71/26.31  | | | | Case 1:
% 171.71/26.31  | | | | | 
% 171.71/26.31  | | | | |   (59)  all_56_0 = e1
% 171.71/26.31  | | | | | 
% 171.71/26.31  | | | | | COMBINE_EQS: (11), (59) imply:
% 171.71/26.31  | | | | |   (60)  all_6_2 = e1
% 171.71/26.31  | | | | | 
% 171.71/26.31  | | | | | REDUCE: (58), (60) imply:
% 171.71/26.31  | | | | |   (61)  $false
% 171.71/26.31  | | | | | 
% 171.71/26.31  | | | | | CLOSE: (61) is inconsistent.
% 171.71/26.31  | | | | | 
% 171.71/26.31  | | | | Case 2:
% 171.71/26.31  | | | | | 
% 171.71/26.31  | | | | |   (62)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 171.71/26.31  | | | | | 
% 171.71/26.31  | | | | | BETA: splitting (62) gives:
% 171.71/26.31  | | | | | 
% 171.71/26.32  | | | | | Case 1:
% 171.71/26.32  | | | | | | 
% 171.71/26.32  | | | | | |   (63)  all_56_1 = e1
% 171.71/26.32  | | | | | | 
% 171.71/26.32  | | | | | | COMBINE_EQS: (1), (63) imply:
% 171.71/26.32  | | | | | |   (64)  all_52_4 = e1
% 171.71/26.32  | | | | | | 
% 171.71/26.32  | | | | | | REDUCE: (6), (64) imply:
% 171.71/26.32  | | | | | |   (65)  op(e3, e1) = all_58_1
% 171.71/26.32  | | | | | | 
% 171.71/26.32  | | | | | | BETA: splitting (13) gives:
% 171.71/26.32  | | | | | | 
% 171.71/26.32  | | | | | | Case 1:
% 171.71/26.32  | | | | | | | 
% 171.71/26.32  | | | | | | |   (66)  all_58_27 = e0
% 171.71/26.32  | | | | | | | 
% 171.71/26.32  | | | | | | | COMBINE_EQS: (29), (66) imply:
% 171.71/26.32  | | | | | | |   (67)  all_14_0 = e0
% 171.71/26.32  | | | | | | | 
% 171.71/26.32  | | | | | | | REDUCE: (31), (67) imply:
% 171.71/26.32  | | | | | | |   (68)  $false
% 171.71/26.32  | | | | | | | 
% 171.71/26.32  | | | | | | | CLOSE: (68) is inconsistent.
% 171.71/26.32  | | | | | | | 
% 171.71/26.32  | | | | | | Case 2:
% 171.71/26.32  | | | | | | | 
% 171.71/26.32  | | | | | | |   (69)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 171.71/26.32  | | | | | | | 
% 171.71/26.32  | | | | | | | BETA: splitting (69) gives:
% 171.71/26.32  | | | | | | | 
% 171.71/26.32  | | | | | | | Case 1:
% 171.71/26.32  | | | | | | | | 
% 171.71/26.32  | | | | | | | |   (70)  all_58_26 = e1
% 171.71/26.32  | | | | | | | | 
% 171.71/26.32  | | | | | | | | COMBINE_EQS: (10), (70) imply:
% 171.71/26.32  | | | | | | | |   (71)  all_10_2 = e1
% 171.71/26.32  | | | | | | | | 
% 171.71/26.32  | | | | | | | | REDUCE: (56), (71) imply:
% 171.71/26.32  | | | | | | | |   (72)  $false
% 171.71/26.32  | | | | | | | | 
% 171.71/26.32  | | | | | | | | CLOSE: (72) is inconsistent.
% 171.71/26.32  | | | | | | | | 
% 171.71/26.32  | | | | | | | Case 2:
% 171.71/26.32  | | | | | | | | 
% 171.71/26.32  | | | | | | | |   (73)   ~ (all_58_26 = e1)
% 171.71/26.32  | | | | | | | |   (74)  all_58_24 = e3 | all_58_25 = e2
% 171.71/26.32  | | | | | | | | 
% 171.71/26.32  | | | | | | | | BETA: splitting (74) gives:
% 171.71/26.32  | | | | | | | | 
% 171.71/26.32  | | | | | | | | Case 1:
% 171.71/26.32  | | | | | | | | | 
% 171.71/26.32  | | | | | | | | |   (75)  all_58_25 = e2
% 171.71/26.32  | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | COMBINE_EQS: (33), (75) imply:
% 171.71/26.32  | | | | | | | | |   (76)  all_52_9 = e2
% 171.71/26.32  | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | SIMP: (76) implies:
% 171.71/26.32  | | | | | | | | |   (77)  all_52_9 = e2
% 171.71/26.32  | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | REDUCE: (12), (77) imply:
% 171.71/26.32  | | | | | | | | |   (78)   ~ (all_10_2 = e2)
% 171.71/26.32  | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | SIMP: (78) implies:
% 171.71/26.32  | | | | | | | | |   (79)   ~ (all_10_2 = e2)
% 171.71/26.32  | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | BETA: splitting (25) gives:
% 171.71/26.32  | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | Case 1:
% 171.71/26.32  | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | |   (80)  all_54_10 = e1
% 171.71/26.32  | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | COMBINE_EQS: (26), (80) imply:
% 171.71/26.32  | | | | | | | | | |   (81)  all_10_2 = e1
% 171.71/26.32  | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | REDUCE: (56), (81) imply:
% 171.71/26.32  | | | | | | | | | |   (82)  $false
% 171.71/26.32  | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | CLOSE: (82) is inconsistent.
% 171.71/26.32  | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | Case 2:
% 171.71/26.32  | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | |   (83)  all_54_10 = e3 | all_54_10 = e2
% 171.71/26.32  | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | BETA: splitting (83) gives:
% 171.71/26.32  | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | Case 1:
% 171.71/26.32  | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | |   (84)  all_54_10 = e2
% 171.71/26.32  | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | COMBINE_EQS: (26), (84) imply:
% 171.71/26.32  | | | | | | | | | | |   (85)  all_10_2 = e2
% 171.71/26.32  | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | REDUCE: (79), (85) imply:
% 171.71/26.32  | | | | | | | | | | |   (86)  $false
% 171.71/26.32  | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | CLOSE: (86) is inconsistent.
% 171.71/26.32  | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | Case 2:
% 171.71/26.32  | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | |   (87)  all_54_10 = e3
% 171.71/26.32  | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | COMBINE_EQS: (26), (87) imply:
% 171.71/26.32  | | | | | | | | | | |   (88)  all_10_2 = e3
% 171.71/26.32  | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | REDUCE: (7), (88) imply:
% 171.71/26.32  | | | | | | | | | | |   (89)  op(e3, e1) = all_10_1
% 171.71/26.32  | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | REF_CLOSE: (28), (34), (41), (65), (89) are inconsistent by
% 171.71/26.32  | | | | | | | | | | |            sub-proof #865.
% 171.71/26.32  | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | End of split
% 171.71/26.32  | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | End of split
% 171.71/26.32  | | | | | | | | | 
% 171.71/26.32  | | | | | | | | Case 2:
% 171.71/26.32  | | | | | | | | | 
% 171.71/26.32  | | | | | | | | |   (90)  all_58_24 = e3
% 171.71/26.32  | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | COMBINE_EQS: (32), (90) imply:
% 171.71/26.32  | | | | | | | | |   (91)  e3 = e0
% 171.71/26.32  | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | REDUCE: (48), (91) imply:
% 171.71/26.32  | | | | | | | | |   (92)  $false
% 171.71/26.32  | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | CLOSE: (92) is inconsistent.
% 171.71/26.32  | | | | | | | | | 
% 171.71/26.32  | | | | | | | | End of split
% 171.71/26.32  | | | | | | | | 
% 171.71/26.32  | | | | | | | End of split
% 171.71/26.32  | | | | | | | 
% 171.71/26.32  | | | | | | End of split
% 171.71/26.32  | | | | | | 
% 171.71/26.32  | | | | | Case 2:
% 171.71/26.32  | | | | | | 
% 171.71/26.32  | | | | | |   (93)  all_56_4 = e1 | all_56_9 = e1
% 171.71/26.32  | | | | | | 
% 171.71/26.32  | | | | | | REF_CLOSE: (16), (17), (18), (38), (93) are inconsistent by
% 171.71/26.32  | | | | | |            sub-proof #674.
% 171.71/26.32  | | | | | | 
% 171.71/26.32  | | | | | End of split
% 171.71/26.32  | | | | | 
% 171.71/26.32  | | | | End of split
% 171.71/26.32  | | | | 
% 171.71/26.32  | | | Case 2:
% 171.71/26.32  | | | | 
% 171.71/26.32  | | | |   (94)  all_58_16 = e3 | all_58_17 = e2
% 171.71/26.32  | | | | 
% 171.71/26.32  | | | | REF_CLOSE: (22), (27), (36), (47), (94) are inconsistent by sub-proof
% 171.71/26.32  | | | |            #814.
% 171.71/26.32  | | | | 
% 171.71/26.32  | | | End of split
% 171.71/26.32  | | | 
% 171.71/26.32  | | End of split
% 171.71/26.32  | | 
% 171.71/26.32  | Case 2:
% 171.71/26.32  | | 
% 171.71/26.32  | |   (95)   ~ (all_56_9 = e3)
% 171.71/26.32  | | 
% 171.71/26.32  | | REDUCE: (16), (95) imply:
% 171.71/26.32  | |   (96)   ~ (all_52_12 = e3)
% 171.71/26.32  | | 
% 171.71/26.32  | | REF_CLOSE: (4), (8), (9), (14), (17), (24), (37), (38), (39), (42), (96) are
% 171.71/26.32  | |            inconsistent by sub-proof #655.
% 171.71/26.32  | | 
% 171.71/26.32  | End of split
% 171.71/26.32  | 
% 171.71/26.32  End of proof
% 171.71/26.32  
% 171.71/26.32  Sub-proof #189 shows that the following formulas are inconsistent:
% 171.71/26.32  ----------------------------------------------------------------
% 171.71/26.32    (1)  all_56_1 = all_52_4
% 171.71/26.32    (2)  all_56_12 = all_52_3
% 171.71/26.32    (3)  all_56_15 = e0 | ((all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 171.71/26.32           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0))
% 171.71/26.32    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.71/26.32    (5)   ~ (all_10_2 = e0)
% 171.71/26.32    (6)   ~ (all_52_8 = all_52_12)
% 171.71/26.32    (7)   ~ (all_14_1 = e1)
% 171.71/26.32    (8)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.71/26.32    (9)  all_50_0 = all_14_0
% 171.71/26.32    (10)  all_56_5 = all_52_9
% 171.71/26.32    (11)   ~ (all_52_12 = all_6_2)
% 171.71/26.32    (12)  op(e2, e0) = all_52_13
% 171.71/26.32    (13)   ~ (all_52_6 = all_4_2)
% 171.71/26.32    (14)  all_56_11 = all_14_1
% 171.71/26.32    (15)   ~ (all_52_13 = e1)
% 171.71/26.32    (16)  op(e3, all_52_4) = all_58_1
% 171.71/26.32    (17)  op(all_14_1, e1) = all_14_0
% 171.71/26.32    (18)  all_54_1 = all_52_4
% 171.71/26.32    (19)  op(e1, all_10_2) = all_58_10
% 171.71/26.32    (20)  op(e1, e1) = all_10_2
% 171.71/26.32    (21)  all_56_14 = all_52_11
% 171.71/26.32    (22)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 171.71/26.32    (23)   ~ (all_52_13 = all_4_2)
% 171.71/26.32    (24)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.71/26.32    (25)  op(e0, all_52_3) = all_58_12
% 171.71/26.32    (26)  all_56_8 = all_10_2
% 171.71/26.32    (27)   ~ (all_52_13 = all_14_1)
% 171.71/26.32    (28)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.71/26.32    (29)   ~ (all_50_0 = e2) |  ~ (all_50_1 = e3)
% 171.71/26.32    (30)  all_58_26 = all_10_2
% 171.71/26.32    (31)   ~ (all_52_4 = all_52_6)
% 171.71/26.32    (32)   ~ (all_52_3 = all_6_2)
% 171.71/26.32    (33)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 171.71/26.32    (34)   ~ (all_52_6 = all_14_1)
% 171.71/26.32    (35)   ~ (all_52_4 = e0)
% 171.71/26.32    (36)  all_58_18 = e0
% 171.71/26.32    (37)   ~ (all_52_1 = all_6_2)
% 171.71/26.32    (38)  all_54_2 = all_52_8
% 171.71/26.32    (39)  all_56_0 = all_6_2
% 171.71/26.32    (40)   ~ (all_52_9 = all_10_2)
% 171.71/26.32    (41)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.71/26.32    (42)  all_58_27 = all_52_11
% 171.71/26.32    (43)  op(e3, e2) = all_52_4
% 171.71/26.32    (44)  all_58_17 = all_52_1
% 171.71/26.32    (45)  op(e3, e1) = all_52_8
% 171.71/26.32    (46)  all_58_19 = all_52_3
% 171.71/26.32    (47)  all_56_9 = all_52_12
% 171.71/26.32    (48)   ~ (all_52_12 = e1)
% 171.71/26.32    (49)   ~ (all_52_12 = all_14_1)
% 171.71/26.32    (50)  all_58_30 = all_14_1
% 171.71/26.32    (51)   ~ (all_52_6 = all_10_2)
% 171.71/26.32    (52)   ~ (all_52_1 = all_4_2)
% 171.71/26.32    (53)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.71/26.32    (54)   ~ (all_52_3 = e1)
% 171.71/26.32    (55)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.71/26.32    (56)  all_54_9 = all_52_6
% 171.71/26.32    (57)   ~ (all_14_1 = e0)
% 171.71/26.32    (58)  all_58_16 = all_6_2
% 171.71/26.32    (59)  op(e0, e3) = all_52_3
% 171.71/26.32    (60)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 171.71/26.32    (61)   ~ (all_52_8 = all_52_9)
% 171.71/26.32    (62)   ~ (all_52_4 = all_6_2)
% 171.71/26.32    (63)  all_50_1 = all_14_1
% 171.71/26.32    (64)  all_56_2 = all_52_1
% 171.71/26.32    (65)   ~ (e3 = e0)
% 171.71/26.32    (66)  all_54_11 = all_14_1
% 171.71/26.32    (67)  all_58_29 = all_52_13
% 171.71/26.32    (68)   ~ (all_6_2 = e0)
% 171.71/26.32    (69)   ~ (all_52_8 = all_10_2)
% 171.71/26.32    (70)  all_56_4 = all_52_8
% 171.71/26.32    (71)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 171.71/26.32    (72)   ~ (all_52_1 = all_52_13)
% 171.71/26.32    (73)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 171.71/26.32    (74)   ~ (all_52_8 = all_52_11)
% 171.71/26.32    (75)   ~ (all_52_8 = all_6_2)
% 171.71/26.32    (76)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.71/26.32    (77)   ~ (all_52_1 = all_52_9)
% 171.71/26.32    (78)  all_56_6 = e0
% 171.71/26.32    (79)  all_56_13 = e0
% 171.71/26.32    (80)  all_58_24 = all_52_8
% 171.71/26.32    (81)   ~ (all_52_9 = all_52_11)
% 171.71/26.32    (82)   ~ (all_52_4 = all_52_12)
% 171.71/26.32    (83)  all_56_3 = all_4_2
% 171.71/26.32    (84)  all_54_0 = all_6_2
% 171.71/26.32    (85)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 171.71/26.32    (86)   ~ (all_52_11 = e0)
% 171.71/26.32    (87)   ~ (all_52_4 = all_52_8)
% 171.71/26.32    (88)  all_58_25 = all_52_9
% 171.71/26.32    (89)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.71/26.32    (90)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.32            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.32    (91)   ~ (all_52_6 = e0)
% 171.71/26.32    (92)  all_54_12 = all_52_3
% 171.71/26.32    (93)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.71/26.32    (94)  all_56_10 = all_52_13
% 171.71/26.32    (95)   ~ (all_52_3 = e0)
% 171.71/26.32    (96)   ~ (e2 = e0)
% 171.71/26.32    (97)   ~ (all_52_1 = all_52_3)
% 171.71/26.32    (98)  all_58_28 = all_52_12
% 171.71/26.32    (99)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 171.71/26.32    (100)   ~ (e1 = e0)
% 171.71/26.32    (101)  all_56_7 = all_52_6
% 171.71/26.32    (102)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 171.71/26.32             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 171.71/26.32             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 171.71/26.32             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 171.71/26.32             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 171.71/26.32             (all_58_15 = e0))
% 171.71/26.32    (103)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 171.71/26.32    (104)  all_58_31 = e1
% 171.71/26.32    (105)  all_54_5 = all_4_2
% 171.71/26.32    (106)  op(e2, all_52_13) = all_58_7
% 171.71/26.32    (107)  all_56_15 = e1
% 171.71/26.32    (108)   ~ (all_52_12 = all_52_13)
% 171.71/26.32  
% 171.71/26.32  Begin of proof
% 171.71/26.32  | 
% 171.71/26.32  | BETA: splitting (22) gives:
% 171.71/26.32  | 
% 171.71/26.32  | Case 1:
% 171.71/26.32  | | 
% 171.71/26.32  | |   (109)  all_54_11 = e0
% 171.71/26.32  | | 
% 171.71/26.32  | | REF_CLOSE: (57), (66), (109) are inconsistent by sub-proof #190.
% 171.71/26.32  | | 
% 171.71/26.32  | Case 2:
% 171.71/26.32  | | 
% 171.71/26.32  | |   (110)   ~ (all_54_11 = e0)
% 171.71/26.32  | |   (111)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 171.71/26.32  | | 
% 171.71/26.32  | | BETA: splitting (76) gives:
% 171.71/26.32  | | 
% 171.71/26.32  | | Case 1:
% 171.71/26.32  | | | 
% 171.71/26.32  | | |   (112)  all_56_0 = e0
% 171.71/26.32  | | | 
% 171.71/26.32  | | | COMBINE_EQS: (39), (112) imply:
% 171.71/26.32  | | |   (113)  all_6_2 = e0
% 171.71/26.32  | | | 
% 171.71/26.32  | | | REDUCE: (68), (113) imply:
% 171.71/26.32  | | |   (114)  $false
% 171.71/26.32  | | | 
% 171.71/26.32  | | | CLOSE: (114) is inconsistent.
% 171.71/26.32  | | | 
% 171.71/26.32  | | Case 2:
% 171.71/26.32  | | | 
% 171.71/26.32  | | |   (115)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.71/26.32  | | | 
% 171.71/26.32  | | | BETA: splitting (60) gives:
% 171.71/26.32  | | | 
% 171.71/26.32  | | | Case 1:
% 171.71/26.32  | | | | 
% 171.71/26.32  | | | |   (116)  all_56_4 = e0
% 171.71/26.32  | | | | 
% 171.71/26.32  | | | | COMBINE_EQS: (70), (116) imply:
% 171.71/26.32  | | | |   (117)  all_52_8 = e0
% 171.71/26.32  | | | | 
% 171.71/26.32  | | | | COMBINE_EQS: (80), (117) imply:
% 171.71/26.32  | | | |   (118)  all_58_24 = e0
% 171.71/26.32  | | | | 
% 171.71/26.32  | | | | REDUCE: (74), (117) imply:
% 171.71/26.32  | | | |   (119)   ~ (all_52_11 = e0)
% 171.71/26.32  | | | | 
% 171.71/26.32  | | | | REDUCE: (6), (117) imply:
% 171.71/26.32  | | | |   (120)   ~ (all_52_12 = e0)
% 171.71/26.32  | | | | 
% 171.71/26.32  | | | | SIMP: (120) implies:
% 171.71/26.32  | | | |   (121)   ~ (all_52_12 = e0)
% 171.71/26.32  | | | | 
% 171.71/26.32  | | | | REDUCE: (75), (117) imply:
% 171.71/26.32  | | | |   (122)   ~ (all_6_2 = e0)
% 171.71/26.32  | | | | 
% 171.71/26.32  | | | | BETA: splitting (3) gives:
% 171.71/26.32  | | | | 
% 171.71/26.32  | | | | Case 1:
% 171.71/26.32  | | | | | 
% 171.71/26.32  | | | | |   (123)  all_56_15 = e0
% 171.71/26.32  | | | | | 
% 171.71/26.32  | | | | | REF_CLOSE: (100), (107), (123) are inconsistent by sub-proof #657.
% 171.71/26.32  | | | | | 
% 171.71/26.32  | | | | Case 2:
% 171.71/26.32  | | | | | 
% 171.71/26.32  | | | | |   (124)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 171.71/26.32  | | | | |          (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0)
% 171.71/26.32  | | | | | 
% 171.71/26.32  | | | | | ALPHA: (124) implies:
% 171.71/26.32  | | | | |   (125)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 171.71/26.32  | | | | | 
% 171.71/26.32  | | | | | BETA: splitting (125) gives:
% 171.71/26.32  | | | | | 
% 171.71/26.32  | | | | | Case 1:
% 171.71/26.32  | | | | | | 
% 171.71/26.32  | | | | | |   (126)  all_56_9 = e0
% 171.71/26.32  | | | | | | 
% 171.71/26.32  | | | | | | REF_CLOSE: (47), (121), (126) are inconsistent by sub-proof #908.
% 171.71/26.32  | | | | | | 
% 171.71/26.32  | | | | | Case 2:
% 171.71/26.32  | | | | | | 
% 171.71/26.32  | | | | | |   (127)  all_56_10 = e0 | all_56_11 = e0
% 171.71/26.32  | | | | | | 
% 171.71/26.32  | | | | | | BETA: splitting (127) gives:
% 171.71/26.32  | | | | | | 
% 171.71/26.32  | | | | | | Case 1:
% 171.71/26.32  | | | | | | | 
% 171.71/26.32  | | | | | | |   (128)  all_56_10 = e0
% 171.71/26.32  | | | | | | | 
% 171.71/26.32  | | | | | | | COMBINE_EQS: (94), (128) imply:
% 171.71/26.32  | | | | | | |   (129)  all_52_13 = e0
% 171.71/26.32  | | | | | | | 
% 171.71/26.32  | | | | | | | SIMP: (129) implies:
% 171.71/26.32  | | | | | | |   (130)  all_52_13 = e0
% 171.71/26.32  | | | | | | | 
% 171.71/26.32  | | | | | | | COMBINE_EQS: (67), (130) imply:
% 171.71/26.32  | | | | | | |   (131)  all_58_29 = e0
% 171.71/26.32  | | | | | | | 
% 171.71/26.32  | | | | | | | REDUCE: (23), (130) imply:
% 171.71/26.32  | | | | | | |   (132)   ~ (all_4_2 = e0)
% 171.71/26.32  | | | | | | | 
% 171.71/26.32  | | | | | | | SIMP: (132) implies:
% 171.71/26.32  | | | | | | |   (133)   ~ (all_4_2 = e0)
% 171.71/26.32  | | | | | | | 
% 171.71/26.32  | | | | | | | REDUCE: (15), (130) imply:
% 171.71/26.32  | | | | | | |   (134)   ~ (e1 = e0)
% 171.71/26.32  | | | | | | | 
% 171.71/26.32  | | | | | | | REDUCE: (106), (130) imply:
% 171.71/26.32  | | | | | | |   (135)  op(e2, e0) = all_58_7
% 171.71/26.32  | | | | | | | 
% 171.71/26.32  | | | | | | | REDUCE: (12), (130) imply:
% 171.71/26.32  | | | | | | |   (136)  op(e2, e0) = e0
% 171.71/26.32  | | | | | | | 
% 171.71/26.32  | | | | | | | BETA: splitting (28) gives:
% 171.71/26.32  | | | | | | | 
% 171.71/26.32  | | | | | | | Case 1:
% 171.71/26.32  | | | | | | | | 
% 171.71/26.32  | | | | | | | |   (137)  all_58_31 = e0
% 171.71/26.32  | | | | | | | | 
% 171.71/26.32  | | | | | | | | COMBINE_EQS: (104), (137) imply:
% 171.71/26.32  | | | | | | | |   (138)  e1 = e0
% 171.71/26.32  | | | | | | | | 
% 171.71/26.32  | | | | | | | | REDUCE: (100), (138) imply:
% 171.71/26.32  | | | | | | | |   (139)  $false
% 171.71/26.32  | | | | | | | | 
% 171.71/26.32  | | | | | | | | CLOSE: (139) is inconsistent.
% 171.71/26.32  | | | | | | | | 
% 171.71/26.32  | | | | | | | Case 2:
% 171.71/26.32  | | | | | | | | 
% 171.71/26.32  | | | | | | | |   (140)   ~ (all_58_31 = e0)
% 171.71/26.32  | | | | | | | |   (141)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 171.71/26.32  | | | | | | | | 
% 171.71/26.32  | | | | | | | | BETA: splitting (141) gives:
% 171.71/26.32  | | | | | | | | 
% 171.71/26.32  | | | | | | | | Case 1:
% 171.71/26.32  | | | | | | | | | 
% 171.71/26.32  | | | | | | | | |   (142)  all_58_30 = e1
% 171.71/26.32  | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | COMBINE_EQS: (50), (142) imply:
% 171.71/26.32  | | | | | | | | |   (143)  all_14_1 = e1
% 171.71/26.32  | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | REDUCE: (7), (143) imply:
% 171.71/26.32  | | | | | | | | |   (144)  $false
% 171.71/26.32  | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | CLOSE: (144) is inconsistent.
% 171.71/26.32  | | | | | | | | | 
% 171.71/26.32  | | | | | | | | Case 2:
% 171.71/26.32  | | | | | | | | | 
% 171.71/26.32  | | | | | | | | |   (145)   ~ (all_58_30 = e1)
% 171.71/26.32  | | | | | | | | |   (146)  all_58_28 = e3 | all_58_29 = e2
% 171.71/26.32  | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | BETA: splitting (146) gives:
% 171.71/26.32  | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | Case 1:
% 171.71/26.32  | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | |   (147)  all_58_29 = e2
% 171.71/26.32  | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | REF_CLOSE: (96), (131), (147) are inconsistent by sub-proof
% 171.71/26.32  | | | | | | | | | |            #889.
% 171.71/26.32  | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | Case 2:
% 171.71/26.32  | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | |   (148)  all_58_28 = e3
% 171.71/26.32  | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | COMBINE_EQS: (98), (148) imply:
% 171.71/26.32  | | | | | | | | | |   (149)  all_52_12 = e3
% 171.71/26.32  | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | REDUCE: (82), (149) imply:
% 171.71/26.32  | | | | | | | | | |   (150)   ~ (all_52_4 = e3)
% 171.71/26.32  | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | REDUCE: (49), (149) imply:
% 171.71/26.32  | | | | | | | | | |   (151)   ~ (all_14_1 = e3)
% 171.71/26.32  | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | SIMP: (151) implies:
% 171.71/26.32  | | | | | | | | | |   (152)   ~ (all_14_1 = e3)
% 171.71/26.32  | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | REDUCE: (11), (149) imply:
% 171.71/26.32  | | | | | | | | | |   (153)   ~ (all_6_2 = e3)
% 171.71/26.32  | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | SIMP: (153) implies:
% 171.71/26.32  | | | | | | | | | |   (154)   ~ (all_6_2 = e3)
% 171.71/26.32  | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | BETA: splitting (111) gives:
% 171.71/26.32  | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | Case 1:
% 171.71/26.32  | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | |   (155)  all_54_11 = e1
% 171.71/26.32  | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | REF_CLOSE: (7), (66), (155) are inconsistent by sub-proof
% 171.71/26.32  | | | | | | | | | | |            #665.
% 171.71/26.32  | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | Case 2:
% 171.71/26.32  | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | |   (156)  all_54_11 = e3 | all_54_11 = e2
% 171.71/26.32  | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | BETA: splitting (156) gives:
% 171.71/26.32  | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | Case 1:
% 171.71/26.32  | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | |   (157)  all_54_11 = e2
% 171.71/26.32  | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | COMBINE_EQS: (66), (157) imply:
% 171.71/26.32  | | | | | | | | | | | |   (158)  all_14_1 = e2
% 171.71/26.32  | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | SIMP: (158) implies:
% 171.71/26.32  | | | | | | | | | | | |   (159)  all_14_1 = e2
% 171.71/26.32  | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | REDUCE: (34), (159) imply:
% 171.71/26.32  | | | | | | | | | | | |   (160)   ~ (all_52_6 = e2)
% 171.71/26.32  | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | BETA: splitting (8) gives:
% 171.71/26.32  | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | Case 1:
% 171.71/26.32  | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | |   (161)  all_58_19 = e0
% 171.71/26.32  | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | COMBINE_EQS: (46), (161) imply:
% 171.71/26.32  | | | | | | | | | | | | |   (162)  all_52_3 = e0
% 171.71/26.32  | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | REDUCE: (95), (162) imply:
% 171.71/26.32  | | | | | | | | | | | | |   (163)  $false
% 171.71/26.32  | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | CLOSE: (163) is inconsistent.
% 171.71/26.32  | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | Case 2:
% 171.71/26.32  | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | |   (164)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 171.71/26.32  | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | BETA: splitting (164) gives:
% 171.71/26.32  | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | Case 1:
% 171.71/26.32  | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | |   (165)  all_58_18 = e1
% 171.71/26.32  | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | REF_CLOSE: (36), (100), (165) are inconsistent by sub-proof
% 171.71/26.32  | | | | | | | | | | | | | |            #888.
% 171.71/26.32  | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | Case 2:
% 171.71/26.32  | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | |   (166)  all_58_16 = e3 | all_58_17 = e2
% 171.71/26.32  | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 171.71/26.32  | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | Case 1:
% 171.71/26.32  | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | |   (167)  all_58_17 = e2
% 171.71/26.32  | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | COMBINE_EQS: (44), (167) imply:
% 171.71/26.32  | | | | | | | | | | | | | | |   (168)  all_52_1 = e2
% 171.71/26.32  | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | REDUCE: (77), (168) imply:
% 171.71/26.32  | | | | | | | | | | | | | | |   (169)   ~ (all_52_9 = e2)
% 171.71/26.32  | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | SIMP: (169) implies:
% 171.71/26.32  | | | | | | | | | | | | | | |   (170)   ~ (all_52_9 = e2)
% 171.71/26.32  | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | REDUCE: (37), (168) imply:
% 171.71/26.32  | | | | | | | | | | | | | | |   (171)   ~ (all_6_2 = e2)
% 171.71/26.32  | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | SIMP: (171) implies:
% 171.71/26.32  | | | | | | | | | | | | | | |   (172)   ~ (all_6_2 = e2)
% 171.71/26.32  | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | REDUCE: (52), (168) imply:
% 171.71/26.32  | | | | | | | | | | | | | | |   (173)   ~ (all_4_2 = e2)
% 171.71/26.32  | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | SIMP: (173) implies:
% 171.71/26.32  | | | | | | | | | | | | | | |   (174)   ~ (all_4_2 = e2)
% 171.71/26.32  | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | BETA: splitting (4) gives:
% 171.71/26.32  | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | Case 1:
% 171.71/26.32  | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | |   (175)  all_54_0 = e0
% 171.71/26.32  | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | REF_CLOSE: (68), (84), (175) are inconsistent by sub-proof
% 171.71/26.32  | | | | | | | | | | | | | | | |            #984.
% 171.71/26.32  | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | Case 2:
% 171.71/26.32  | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | |   (176)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 171.71/26.32  | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | BETA: splitting (41) gives:
% 171.71/26.32  | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | Case 1:
% 171.71/26.32  | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | |   (177)  all_58_27 = e0
% 171.71/26.32  | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | COMBINE_EQS: (42), (177) imply:
% 171.71/26.32  | | | | | | | | | | | | | | | | |   (178)  all_52_11 = e0
% 171.71/26.32  | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | REDUCE: (86), (178) imply:
% 171.71/26.32  | | | | | | | | | | | | | | | | |   (179)  $false
% 171.71/26.32  | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | CLOSE: (179) is inconsistent.
% 171.71/26.32  | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | Case 2:
% 171.71/26.32  | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | |   (180)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 171.71/26.32  | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | BETA: splitting (53) gives:
% 171.71/26.32  | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | Case 1:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | |   (181)  all_56_0 = e1
% 171.71/26.32  | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (39), (181) imply:
% 171.71/26.32  | | | | | | | | | | | | | | | | | |   (182)  all_6_2 = e1
% 171.71/26.32  | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | REDUCE: (62), (182) imply:
% 171.71/26.32  | | | | | | | | | | | | | | | | | |   (183)   ~ (all_52_4 = e1)
% 171.71/26.32  | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | Case 1:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | |   (184)  all_54_1 = e0
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (35), (184) are inconsistent by sub-proof
% 171.71/26.32  | | | | | | | | | | | | | | | | | | |            #866.
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | Case 2:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | |   (185)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | Case 1:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | |   (186)  all_58_26 = e1
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (30), (186) imply:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | |   (187)  all_10_2 = e1
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | SIMP: (187) implies:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | |   (188)  all_10_2 = e1
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (188) imply:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | |   (189)   ~ (all_52_6 = e1)
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (188) imply:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | |   (190)  op(e1, e1) = all_58_10
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (188) imply:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | |   (191)  op(e1, e1) = e1
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | BETA: splitting (89) gives:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | |   (192)  all_54_9 = e0
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (91), (192) are inconsistent by sub-proof
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | |            #903.
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | |   (193)   ~ (all_54_9 = e0)
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | |   (194)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (33) gives:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | |   (195)  all_56_6 = e3
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (78), (195) imply:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | |   (196)  e3 = e0
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (196) imply:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | |   (197)  $false
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (197) is inconsistent.
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | |   (198)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | |   (199)  all_56_7 = e3
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (101), (199) imply:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | |   (200)  all_52_6 = e3
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (200) implies:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | |   (201)  all_52_6 = e3
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (201) imply:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | |   (202)   ~ (all_4_2 = e3)
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (202) implies:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | |   (203)   ~ (all_4_2 = e3)
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (201) imply:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | |   (204)   ~ (e3 = e2)
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (93) gives:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | |   (205)  all_54_5 = e1
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (105), (205) imply:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | |   (206)  all_4_2 = e1
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (206) implies:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | |   (207)  all_4_2 = e1
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (203), (207) imply:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | |   (208)   ~ (e3 = e1)
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (208) implies:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | |   (209)   ~ (e3 = e1)
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (90) with e0, all_58_7, e0, e2,
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (135), (136) gives:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | |   (210)  all_58_7 = e0
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (16), (18), (24), (25), (32), (36),
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | |            (37), (39), (43), (44), (53), (58), (59), (62),
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | |            (64), (65), (71), (78), (84), (85), (90), (92),
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | |            (97), (100), (102), (103), (150), (154), (164),
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | |            (172), (176), (185), (190), (191), (204), (209),
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | |            (210) are inconsistent by sub-proof #200.
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | |   (211)  all_54_5 = e3 | all_54_5 = e2
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (174), (203), (211) are inconsistent by
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #959.
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | |   (212)   ~ (all_56_7 = e3)
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (212) imply:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | |   (213)   ~ (all_52_6 = e3)
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (31), (56), (150), (183), (185), (189),
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | |            (194), (213) are inconsistent by sub-proof #424.
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | End of split
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | End of split
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | End of split
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | Case 2:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | |   (214)  all_58_24 = e3 | all_58_25 = e2
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (65), (88), (118), (170), (214) are inconsistent
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | |            by sub-proof #921.
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | End of split
% 171.71/26.32  | | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | End of split
% 171.71/26.32  | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | Case 2:
% 171.71/26.32  | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | |   (215)   ~ (all_56_0 = e1)
% 171.71/26.32  | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | REDUCE: (39), (215) imply:
% 171.71/26.32  | | | | | | | | | | | | | | | | | |   (216)   ~ (all_6_2 = e1)
% 171.71/26.32  | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | | REF_CLOSE: (84), (154), (172), (176), (216) are inconsistent
% 171.71/26.32  | | | | | | | | | | | | | | | | | |            by sub-proof #848.
% 171.71/26.32  | | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | | End of split
% 171.71/26.32  | | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | | End of split
% 171.71/26.32  | | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | End of split
% 171.71/26.32  | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | Case 2:
% 171.71/26.32  | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | |   (217)  all_58_16 = e3
% 171.71/26.32  | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | COMBINE_EQS: (58), (217) imply:
% 171.71/26.32  | | | | | | | | | | | | | | |   (218)  all_6_2 = e3
% 171.71/26.32  | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | REDUCE: (154), (218) imply:
% 171.71/26.32  | | | | | | | | | | | | | | |   (219)  $false
% 171.71/26.32  | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | | CLOSE: (219) is inconsistent.
% 171.71/26.32  | | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | | End of split
% 171.71/26.32  | | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | | End of split
% 171.71/26.32  | | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | End of split
% 171.71/26.32  | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | Case 2:
% 171.71/26.32  | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | |   (220)  all_54_11 = e3
% 171.71/26.32  | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | | REF_CLOSE: (66), (152), (220) are inconsistent by sub-proof
% 171.71/26.32  | | | | | | | | | | | |            #285.
% 171.71/26.32  | | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | | End of split
% 171.71/26.32  | | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | | End of split
% 171.71/26.32  | | | | | | | | | | 
% 171.71/26.32  | | | | | | | | | End of split
% 171.71/26.32  | | | | | | | | | 
% 171.71/26.32  | | | | | | | | End of split
% 171.71/26.32  | | | | | | | | 
% 171.71/26.32  | | | | | | | End of split
% 171.71/26.32  | | | | | | | 
% 171.71/26.32  | | | | | | Case 2:
% 171.71/26.32  | | | | | | | 
% 171.71/26.32  | | | | | | |   (221)  all_56_11 = e0
% 171.71/26.32  | | | | | | | 
% 171.71/26.32  | | | | | | | REF_CLOSE: (14), (57), (221) are inconsistent by sub-proof #651.
% 171.71/26.32  | | | | | | | 
% 171.71/26.32  | | | | | | End of split
% 171.71/26.32  | | | | | | 
% 171.71/26.32  | | | | | End of split
% 171.71/26.32  | | | | | 
% 171.71/26.32  | | | | End of split
% 171.71/26.32  | | | | 
% 171.71/26.32  | | | Case 2:
% 171.71/26.32  | | | | 
% 171.71/26.32  | | | |   (222)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 171.71/26.32  | | | | 
% 171.71/26.32  | | | | REF_CLOSE: (1), (2), (5), (6), (7), (8), (9), (10), (16), (17), (21),
% 171.71/26.32  | | | |            (26), (27), (28), (29), (30), (35), (36), (38), (39), (40),
% 171.71/26.32  | | | |            (41), (42), (44), (45), (46), (47), (48), (50), (51), (52),
% 171.71/26.32  | | | |            (53), (54), (58), (61), (63), (64), (65), (66), (67), (69),
% 171.71/26.32  | | | |            (70), (72), (73), (75), (78), (79), (80), (81), (83), (86),
% 171.71/26.32  | | | |            (88), (90), (95), (98), (99), (101), (104), (108), (111),
% 171.71/26.32  | | | |            (115), (222) are inconsistent by sub-proof #659.
% 171.71/26.32  | | | | 
% 171.71/26.32  | | | End of split
% 171.71/26.32  | | | 
% 171.71/26.32  | | End of split
% 171.71/26.32  | | 
% 171.71/26.32  | End of split
% 171.71/26.32  | 
% 171.71/26.32  End of proof
% 171.71/26.32  
% 171.71/26.32  Sub-proof #190 shows that the following formulas are inconsistent:
% 171.71/26.32  ----------------------------------------------------------------
% 171.71/26.32    (1)  all_54_11 = all_14_1
% 171.71/26.32    (2)  all_54_11 = e0
% 171.71/26.32    (3)   ~ (all_14_1 = e0)
% 171.71/26.32  
% 171.71/26.32  Begin of proof
% 171.71/26.32  | 
% 171.71/26.32  | COMBINE_EQS: (1), (2) imply:
% 171.71/26.32  |   (4)  all_14_1 = e0
% 171.71/26.32  | 
% 171.71/26.32  | SIMP: (4) implies:
% 171.71/26.32  |   (5)  all_14_1 = e0
% 171.71/26.32  | 
% 171.71/26.32  | REDUCE: (3), (5) imply:
% 171.71/26.32  |   (6)  $false
% 171.71/26.32  | 
% 171.71/26.32  | CLOSE: (6) is inconsistent.
% 171.71/26.32  | 
% 171.71/26.32  End of proof
% 171.71/26.32  
% 171.71/26.32  Sub-proof #191 shows that the following formulas are inconsistent:
% 171.71/26.32  ----------------------------------------------------------------
% 171.71/26.32    (1)   ~ (all_52_12 = all_14_2)
% 171.71/26.32    (2)  op(e0, e0) = all_14_2
% 171.71/26.32    (3)  all_54_8 = all_52_2
% 171.71/26.32    (4)  all_56_1 = all_52_4
% 171.71/26.32    (5)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 171.71/26.32    (6)  all_56_12 = all_52_3
% 171.71/26.32    (7)  op(e1, e3) = all_52_2
% 171.71/26.32    (8)  op(e3, all_52_12) = all_58_3
% 171.71/26.33    (9)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.71/26.33    (10)  op(e1, all_52_14) = all_58_11
% 171.71/26.33    (11)   ~ (all_10_2 = e0)
% 171.71/26.33    (12)   ~ (all_52_8 = all_52_12)
% 171.71/26.33    (13)   ~ (e3 = e1)
% 171.71/26.33    (14)  all_58_23 = all_52_7
% 171.71/26.33    (15)   ~ (all_52_2 = all_6_2)
% 171.71/26.33    (16)  all_8_2 = all_6_2
% 171.71/26.33    (17)   ~ (all_52_4 = all_4_2)
% 171.71/26.33    (18)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.71/26.33    (19)  all_54_3 = all_52_12
% 171.71/26.33    (20)  all_56_5 = all_52_9
% 171.71/26.33    (21)   ~ (all_52_3 = all_52_11)
% 171.71/26.33    (22)  op(all_6_2, e3) = all_6_1
% 171.71/26.33    (23)   ~ (all_52_12 = all_6_2)
% 171.71/26.33    (24)  op(e2, e0) = all_52_13
% 171.71/26.33    (25)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 171.71/26.33    (26)   ~ (all_52_6 = all_4_2)
% 171.71/26.33    (27)  op(e3, all_6_2) = all_58_0
% 171.71/26.33    (28)  op(e1, e0) = all_52_14
% 171.71/26.33    (29)  all_56_15 = all_14_2
% 171.71/26.33    (30)  op(e3, all_52_4) = all_58_1
% 171.71/26.33    (31)  all_54_1 = all_52_4
% 171.71/26.33    (32)  op(all_10_2, e1) = all_10_1
% 171.71/26.33    (33)   ~ (all_14_2 = e0)
% 171.71/26.33    (34)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 171.71/26.33    (35)  op(e1, all_10_2) = all_58_10
% 171.71/26.33    (36)   ~ (all_52_9 = all_4_2)
% 171.71/26.33    (37)   ~ (all_52_3 = all_52_7)
% 171.71/26.33    (38)  op(e1, e1) = all_10_2
% 171.71/26.33    (39)  all_54_6 = all_52_9
% 171.71/26.33    (40)  all_56_14 = all_52_11
% 171.71/26.33    (41)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 171.71/26.33    (42)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 171.71/26.33    (43)   ~ (all_52_13 = all_4_2)
% 171.71/26.33    (44)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.71/26.33    (45)  op(e0, all_52_3) = all_58_12
% 171.71/26.33    (46)  all_56_8 = all_10_2
% 171.71/26.33    (47)  op(e2, all_52_1) = all_58_4
% 171.71/26.33    (48)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.71/26.33    (49)  all_58_26 = all_10_2
% 171.71/26.33    (50)   ~ (all_52_4 = all_52_6)
% 171.71/26.33    (51)  all_58_31 = all_14_2
% 171.71/26.33    (52)   ~ (all_52_11 = all_10_2)
% 171.71/26.33    (53)   ~ (all_52_9 = all_52_13)
% 171.71/26.33    (54)   ~ (all_52_3 = all_6_2)
% 171.71/26.33    (55)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 171.71/26.33    (56)  op(all_6_1, all_6_2) = e0
% 171.71/26.33    (57)   ~ (all_52_1 = all_6_2)
% 171.71/26.33    (58)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 171.71/26.33    (59)  all_54_2 = all_52_8
% 171.71/26.33    (60)  all_56_11 = all_52_14
% 171.71/26.33    (61)  op(e2, e1) = all_52_9
% 171.71/26.33    (62)   ~ (all_52_6 = all_52_7)
% 171.71/26.33    (63)   ~ (all_4_1 = e0)
% 171.71/26.33    (64)  all_56_0 = all_6_2
% 171.71/26.33    (65)   ~ (all_52_9 = all_10_2)
% 171.71/26.33    (66)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.71/26.33    (67)  all_58_30 = all_52_14
% 171.71/26.33    (68)  all_58_27 = all_52_11
% 171.71/26.33    (69)  all_54_14 = all_52_11
% 171.71/26.33    (70)  op(e3, e2) = all_52_4
% 171.71/26.33    (71)  op(all_4_2, e2) = all_4_1
% 171.71/26.33    (72)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 171.71/26.33    (73)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 171.71/26.33    (74)  all_58_17 = all_52_1
% 171.71/26.33    (75)  op(e3, e1) = all_52_8
% 171.71/26.33    (76)  op(e2, all_4_2) = all_58_5
% 171.71/26.33    (77)  all_58_19 = all_52_3
% 171.71/26.33    (78)  all_56_9 = all_52_12
% 171.71/26.33    (79)   ~ (all_52_2 = all_52_6)
% 171.71/26.33    (80)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 171.71/26.33    (81)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 171.71/26.33    (82)  op(e2, e2) = all_4_2
% 171.71/26.33    (83)   ~ (e3 = e2)
% 171.71/26.33    (84)  op(e3, all_52_8) = all_58_2
% 171.71/26.33    (85)   ~ (all_52_4 = all_52_7)
% 171.71/26.33    (86)   ~ (e2 = e1)
% 171.71/26.33    (87)   ~ (all_52_6 = all_10_2)
% 171.71/26.33    (88)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 171.71/26.33    (89)  op(e0, all_52_11) = all_58_14
% 171.71/26.33    (90)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 171.71/26.33    (91)   ~ (all_52_7 = all_14_2)
% 171.71/26.33    (92)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 171.71/26.33    (93)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 171.71/26.33    (94)   ~ (all_52_13 = all_14_2)
% 171.71/26.33    (95)   ~ (all_52_1 = all_4_2)
% 171.71/26.33    (96)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.71/26.33    (97)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.71/26.33    (98)  all_54_9 = all_52_6
% 171.71/26.33    (99)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 171.71/26.33    (100)   ~ (all_52_13 = all_52_14)
% 171.71/26.33    (101)  op(e2, e3) = all_52_1
% 171.71/26.33    (102)  all_58_18 = all_52_2
% 171.71/26.33    (103)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.71/26.33    (104)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 171.71/26.33    (105)  all_58_16 = all_6_2
% 171.71/26.33    (106)  all_56_13 = all_52_7
% 171.71/26.33    (107)  op(e0, e3) = all_52_3
% 171.71/26.33    (108)  op(e0, all_52_7) = all_58_13
% 171.71/26.33    (109)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 171.71/26.33    (110)   ~ (all_52_8 = all_52_9)
% 171.71/26.33    (111)   ~ (all_52_4 = all_6_2)
% 171.71/26.33    (112)  all_56_2 = all_52_1
% 171.71/26.33    (113)   ~ (e3 = e0)
% 171.71/26.33    (114)  op(e3, e0) = all_52_12
% 171.71/26.33    (115)  all_58_29 = all_52_13
% 171.71/26.33    (116)   ~ (all_52_1 = all_52_2)
% 171.71/26.33    (117)   ~ (all_4_2 = e0)
% 171.71/26.33    (118)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 171.71/26.33    (119)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 171.71/26.33    (120)   ~ (all_52_6 = all_52_14)
% 171.71/26.33    (121)   ~ (all_52_7 = all_4_2)
% 171.71/26.33    (122)   ~ (all_52_8 = all_10_2)
% 171.71/26.33    (123)  all_56_4 = all_52_8
% 171.71/26.33    (124)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.71/26.33    (125)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 171.71/26.33    (126)  op(e1, all_52_2) = all_58_8
% 171.71/26.33    (127)   ~ (all_52_1 = all_52_13)
% 171.71/26.33    (128)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 171.71/26.33    (129)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 171.71/26.33    (130)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 171.71/26.33    (131)  all_58_20 = all_52_4
% 171.71/26.33    (132)  all_54_10 = all_10_2
% 171.71/26.33    (133)  all_54_13 = all_52_7
% 171.71/26.33    (134)  all_54_15 = all_14_2
% 171.71/26.33    (135)   ~ (all_52_7 = all_52_11)
% 171.71/26.33    (136)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 171.71/26.33    (137)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 171.71/26.33    (138)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 171.71/26.33    (139)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 171.71/26.33    (140)   ~ (all_52_8 = all_52_11)
% 171.71/26.33    (141)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 171.71/26.33    (142)   ~ (all_52_8 = all_6_2)
% 171.71/26.33    (143)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 171.71/26.33    (144)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.71/26.33    (145)  all_56_6 = all_52_2
% 171.71/26.33    (146)   ~ (all_52_1 = all_52_9)
% 171.71/26.33    (147)  op(e3, e3) = all_6_2
% 171.71/26.33    (148)  all_58_24 = all_52_8
% 171.71/26.33    (149)   ~ (all_52_12 = all_52_14)
% 171.71/26.33    (150)   ~ (all_52_9 = all_52_11)
% 171.71/26.33    (151)  all_58_22 = all_52_6
% 171.71/26.33    (152)   ~ (all_52_4 = all_52_12)
% 171.71/26.33    (153)  all_56_3 = all_4_2
% 171.71/26.33    (154)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 171.71/26.33    (155)  all_54_0 = all_6_2
% 171.71/26.33    (156)   ~ (all_52_14 = all_10_2)
% 171.71/26.33    (157)   ~ (all_52_1 = e0)
% 171.71/26.33    (158)   ~ (all_52_2 = all_52_3)
% 171.71/26.33    (159)   ~ (all_52_4 = all_52_8)
% 171.71/26.33    (160)   ~ (all_52_14 = all_14_2)
% 171.71/26.33    (161)  all_58_25 = all_52_9
% 171.71/26.33    (162)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.71/26.33    (163)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.33             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.33    (164)  all_54_12 = all_52_3
% 171.71/26.33    (165)   ~ (all_52_2 = all_52_14)
% 171.71/26.33    (166)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 171.71/26.33    (167)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.71/26.33    (168)  all_58_21 = all_4_2
% 171.71/26.33    (169)  all_56_10 = all_52_13
% 171.71/26.33    (170)  op(e2, all_52_9) = all_58_6
% 171.71/26.33    (171)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.71/26.33    (172)   ~ (e2 = e0)
% 171.71/26.33    (173)   ~ (all_52_1 = all_52_3)
% 171.71/26.33    (174)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 171.71/26.33    (175)  all_8_1 = all_6_1
% 171.71/26.33    (176)  all_58_28 = all_52_12
% 171.71/26.33    (177)  op(e1, all_52_6) = all_58_9
% 171.71/26.33    (178)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 171.71/26.33    (179)   ~ (e1 = e0)
% 171.71/26.33    (180)  all_54_4 = all_52_1
% 171.71/26.33    (181)  all_56_7 = all_52_6
% 171.71/26.33    (182)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 171.71/26.33             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 171.71/26.33             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 171.71/26.33             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 171.71/26.33             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 171.71/26.33             (all_58_15 = e0))
% 171.71/26.33    (183)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 171.71/26.33    (184)  all_54_5 = all_4_2
% 171.71/26.33    (185)  op(all_10_1, all_10_2) = all_10_0
% 171.71/26.33    (186)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 171.71/26.33    (187)  op(e2, all_52_13) = all_58_7
% 171.71/26.33    (188)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 171.71/26.33    (189)   ~ (all_10_0 = e0)
% 171.71/26.33    (190)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 171.71/26.33    (191)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 171.71/26.33           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 171.71/26.33           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.71/26.33           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 171.71/26.33           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.71/26.33           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 171.71/26.33           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.71/26.33           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 171.71/26.33           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 171.71/26.33           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 171.71/26.33             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 171.71/26.33             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 171.71/26.33             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 171.71/26.33             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 171.71/26.33             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 171.71/26.33             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 171.71/26.33             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 171.71/26.33             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 171.71/26.33             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 171.71/26.33             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 171.71/26.33             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 171.71/26.33             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 171.71/26.33             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 171.71/26.33             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 171.71/26.33             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 171.71/26.33             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 171.71/26.33           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 171.71/26.33           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 171.71/26.33           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 171.71/26.33             all_58_30 = e0 & e1 = e0)
% 171.71/26.33    (192)  all_54_7 = all_52_13
% 171.71/26.33    (193)   ~ (all_52_2 = all_10_2)
% 171.71/26.33    (194)   ~ (all_10_1 = e0)
% 171.71/26.33    (195)  all_54_11 = all_52_14
% 171.71/26.33    (196)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 171.71/26.33    (197)   ~ (all_52_12 = all_52_13)
% 171.71/26.33  
% 171.71/26.33  Begin of proof
% 171.71/26.33  | 
% 171.71/26.33  | BETA: splitting (130) gives:
% 171.71/26.33  | 
% 171.71/26.33  | Case 1:
% 171.71/26.33  | | 
% 171.71/26.33  | |   (198)  all_54_12 = e0
% 171.71/26.33  | | 
% 171.71/26.33  | | REF_CLOSE: (1), (3), (4), (6), (7), (9), (11), (12), (14), (15), (16), (17),
% 171.71/26.33  | |            (20), (21), (22), (23), (26), (29), (31), (36), (37), (40), (43),
% 171.71/26.33  | |            (44), (46), (48), (49), (50), (51), (52), (54), (57), (60), (62),
% 171.71/26.33  | |            (63), (64), (65), (66), (67), (68), (69), (70), (71), (72), (78),
% 171.71/26.33  | |            (79), (80), (81), (83), (85), (86), (87), (91), (92), (94), (95),
% 171.71/26.33  | |            (96), (97), (99), (100), (101), (103), (104), (106), (109),
% 171.71/26.33  | |            (110), (111), (112), (113), (115), (116), (117), (119), (120),
% 171.71/26.33  | |            (121), (123), (124), (127), (131), (133), (135), (138), (139),
% 171.71/26.33  | |            (140), (142), (143), (144), (145), (146), (148), (149), (150),
% 171.71/26.33  | |            (151), (152), (153), (155), (156), (158), (159), (160), (161),
% 171.71/26.33  | |            (163), (164), (165), (167), (168), (169), (171), (172), (173),
% 171.71/26.33  | |            (174), (175), (176), (179), (180), (181), (184), (190), (193),
% 171.71/26.33  | |            (196), (197), (198) are inconsistent by sub-proof #204.
% 171.71/26.33  | | 
% 171.71/26.33  | Case 2:
% 171.71/26.33  | | 
% 171.71/26.33  | |   (199)   ~ (all_54_12 = e0)
% 171.71/26.33  | |   (200)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 171.71/26.33  | | 
% 171.71/26.33  | | REDUCE: (164), (199) imply:
% 171.71/26.33  | |   (201)   ~ (all_52_3 = e0)
% 171.71/26.33  | | 
% 171.71/26.33  | | BETA: splitting (136) gives:
% 171.71/26.33  | | 
% 171.71/26.33  | | Case 1:
% 171.71/26.33  | | | 
% 171.71/26.33  | | |   (202)  all_56_0 = e0
% 171.71/26.33  | | | 
% 171.71/26.33  | | | REF_CLOSE: (1), (2), (4), (5), (6), (10), (11), (12), (13), (14), (15),
% 171.71/26.33  | | |            (17), (18), (19), (20), (21), (22), (23), (24), (25), (26),
% 171.71/26.33  | | |            (27), (28), (29), (31), (33), (34), (36), (37), (39), (40),
% 171.71/26.33  | | |            (41), (42), (44), (46), (48), (49), (50), (51), (52), (53),
% 171.71/26.33  | | |            (54), (55), (57), (58), (59), (60), (62), (64), (65), (66),
% 171.71/26.33  | | |            (67), (68), (69), (72), (74), (77), (78), (79), (80), (83),
% 171.71/26.33  | | |            (85), (86), (87), (88), (89), (92), (93), (94), (95), (96),
% 171.71/26.33  | | |            (97), (98), (99), (100), (102), (103), (105), (106), (107),
% 171.71/26.33  | | |            (108), (109), (110), (111), (112), (113), (114), (115), (116),
% 171.71/26.33  | | |            (117), (118), (120), (121), (122), (123), (124), (127), (128),
% 171.71/26.33  | | |            (131), (134), (135), (137), (138), (139), (140), (141), (142),
% 171.71/26.33  | | |            (143), (145), (146), (148), (149), (150), (151), (152), (153),
% 171.71/26.33  | | |            (156), (158), (159), (160), (161), (162), (163), (165), (168),
% 171.71/26.33  | | |            (169), (170), (171), (172), (173), (176), (177), (178), (179),
% 171.71/26.33  | | |            (180), (181), (182), (183), (184), (187), (191), (192), (193),
% 171.71/26.33  | | |            (195), (196), (197), (202) are inconsistent by sub-proof #203.
% 171.71/26.33  | | | 
% 171.71/26.33  | | Case 2:
% 171.71/26.33  | | | 
% 171.71/26.33  | | |   (203)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 171.71/26.33  | | | 
% 171.71/26.33  | | | BETA: splitting (203) gives:
% 171.71/26.33  | | | 
% 171.71/26.33  | | | Case 1:
% 171.71/26.33  | | | | 
% 171.71/26.33  | | | |   (204)  all_56_2 = e0
% 171.71/26.33  | | | | 
% 171.71/26.33  | | | | COMBINE_EQS: (112), (204) imply:
% 171.71/26.33  | | | |   (205)  all_52_1 = e0
% 171.71/26.33  | | | | 
% 171.71/26.33  | | | | REDUCE: (157), (205) imply:
% 171.71/26.33  | | | |   (206)  $false
% 171.71/26.33  | | | | 
% 171.71/26.33  | | | | CLOSE: (206) is inconsistent.
% 171.71/26.33  | | | | 
% 171.71/26.33  | | | Case 2:
% 171.71/26.33  | | | | 
% 171.71/26.33  | | | |   (207)  all_56_6 = e0 | all_56_12 = e0
% 171.71/26.33  | | | | 
% 171.71/26.33  | | | | BETA: splitting (207) gives:
% 171.71/26.33  | | | | 
% 171.71/26.33  | | | | Case 1:
% 171.71/26.33  | | | | | 
% 171.71/26.33  | | | | |   (208)  all_56_6 = e0
% 171.71/26.33  | | | | | 
% 171.71/26.33  | | | | | COMBINE_EQS: (145), (208) imply:
% 171.71/26.33  | | | | |   (209)  all_52_2 = e0
% 171.71/26.33  | | | | | 
% 171.71/26.33  | | | | | COMBINE_EQS: (102), (209) imply:
% 171.71/26.33  | | | | |   (210)  all_58_18 = e0
% 171.71/26.33  | | | | | 
% 171.71/26.33  | | | | | REDUCE: (158), (209) imply:
% 171.71/26.33  | | | | |   (211)   ~ (all_52_3 = e0)
% 171.71/26.33  | | | | | 
% 171.71/26.33  | | | | | REDUCE: (79), (209) imply:
% 171.71/26.33  | | | | |   (212)   ~ (all_52_6 = e0)
% 171.71/26.33  | | | | | 
% 171.71/26.33  | | | | | SIMP: (212) implies:
% 171.71/26.33  | | | | |   (213)   ~ (all_52_6 = e0)
% 171.71/26.33  | | | | | 
% 171.71/26.33  | | | | | REDUCE: (165), (209) imply:
% 171.71/26.33  | | | | |   (214)   ~ (all_52_14 = e0)
% 171.71/26.33  | | | | | 
% 171.71/26.33  | | | | | SIMP: (214) implies:
% 171.71/26.33  | | | | |   (215)   ~ (all_52_14 = e0)
% 171.71/26.33  | | | | | 
% 171.71/26.33  | | | | | REDUCE: (193), (209) imply:
% 171.71/26.33  | | | | |   (216)   ~ (all_10_2 = e0)
% 171.71/26.33  | | | | | 
% 171.71/26.33  | | | | | REDUCE: (15), (209) imply:
% 171.71/26.33  | | | | |   (217)   ~ (all_6_2 = e0)
% 171.71/26.33  | | | | | 
% 171.71/26.33  | | | | | SIMP: (217) implies:
% 171.71/26.33  | | | | |   (218)   ~ (all_6_2 = e0)
% 171.71/26.33  | | | | | 
% 171.71/26.33  | | | | | REDUCE: (126), (209) imply:
% 171.71/26.33  | | | | |   (219)  op(e1, e0) = all_58_8
% 171.71/26.33  | | | | | 
% 171.71/26.33  | | | | | GROUND_INST: instantiating (163) with all_52_14, all_58_8, e0, e1,
% 171.71/26.33  | | | | |              simplifying with (28), (219) gives:
% 171.71/26.33  | | | | |   (220)  all_58_8 = all_52_14
% 171.71/26.33  | | | | | 
% 171.71/26.33  | | | | | BETA: splitting (104) gives:
% 171.71/26.33  | | | | | 
% 171.71/26.33  | | | | | Case 1:
% 171.71/26.33  | | | | | | 
% 171.71/26.33  | | | | | |   (221)  all_56_1 = e0
% 171.71/26.33  | | | | | | 
% 171.71/26.33  | | | | | | COMBINE_EQS: (4), (221) imply:
% 171.71/26.33  | | | | | |   (222)  all_52_4 = e0
% 171.71/26.33  | | | | | | 
% 171.71/26.33  | | | | | | COMBINE_EQS: (131), (222) imply:
% 171.71/26.33  | | | | | |   (223)  all_58_20 = e0
% 171.71/26.33  | | | | | | 
% 171.71/26.33  | | | | | | REDUCE: (85), (222) imply:
% 171.71/26.33  | | | | | |   (224)   ~ (all_52_7 = e0)
% 171.71/26.33  | | | | | | 
% 171.71/26.33  | | | | | | SIMP: (224) implies:
% 171.71/26.33  | | | | | |   (225)   ~ (all_52_7 = e0)
% 171.71/26.33  | | | | | | 
% 171.71/26.33  | | | | | | REDUCE: (17), (222) imply:
% 171.71/26.33  | | | | | |   (226)   ~ (all_4_2 = e0)
% 171.71/26.33  | | | | | | 
% 171.71/26.33  | | | | | | REDUCE: (70), (222) imply:
% 171.71/26.33  | | | | | |   (227)  op(e3, e2) = e0
% 171.71/26.33  | | | | | | 
% 171.71/26.33  | | | | | | REF_CLOSE: (5), (6), (8), (9), (10), (11), (13), (14), (15), (18),
% 171.71/26.33  | | | | | |            (19), (20), (21), (23), (26), (28), (29), (32), (34),
% 171.71/26.33  | | | | | |            (36), (39), (40), (41), (43), (45), (46), (47), (48),
% 171.71/26.33  | | | | | |            (49), (51), (53), (54), (57), (60), (61), (62), (63),
% 171.71/26.33  | | | | | |            (64), (67), (71), (73), (74), (75), (76), (77), (78),
% 171.71/26.33  | | | | | |            (79), (82), (83), (84), (86), (87), (94), (95), (96),
% 171.71/26.33  | | | | | |            (98), (100), (102), (103), (105), (106), (107), (112),
% 171.71/26.33  | | | | | |            (113), (115), (116), (117), (118), (123), (124), (125),
% 171.71/26.33  | | | | | |            (127), (128), (135), (136), (138), (139), (141), (142),
% 171.71/26.33  | | | | | |            (143), (145), (146), (149), (150), (151), (153), (154),
% 171.71/26.33  | | | | | |            (155), (158), (160), (162), (163), (164), (165), (167),
% 171.71/26.33  | | | | | |            (168), (169), (172), (173), (176), (179), (180), (181),
% 171.71/26.33  | | | | | |            (182), (184), (185), (186), (189), (191), (196), (197),
% 171.71/26.33  | | | | | |            (200), (201), (213), (218), (221), (223), (225), (227)
% 171.71/26.33  | | | | | |            are inconsistent by sub-proof #202.
% 171.71/26.33  | | | | | | 
% 171.71/26.33  | | | | | Case 2:
% 171.71/26.33  | | | | | | 
% 171.71/26.33  | | | | | |   (228)   ~ (all_56_1 = e0)
% 171.71/26.33  | | | | | |   (229)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 171.71/26.33  | | | | | | 
% 171.71/26.33  | | | | | | REDUCE: (4), (228) imply:
% 171.71/26.33  | | | | | |   (230)   ~ (all_52_4 = e0)
% 171.71/26.33  | | | | | | 
% 171.71/26.33  | | | | | | REF_CLOSE: (1), (4), (6), (9), (12), (13), (14), (17), (18), (20),
% 171.71/26.33  | | | | | |            (22), (23), (24), (26), (27), (29), (30), (31), (32),
% 171.71/26.33  | | | | | |            (35), (36), (38), (43), (44), (45), (46), (48), (49),
% 171.71/26.33  | | | | | |            (50), (51), (53), (54), (55), (56), (57), (60), (64),
% 171.71/26.33  | | | | | |            (65), (66), (67), (68), (70), (73), (74), (75), (77),
% 171.71/26.33  | | | | | |            (78), (83), (86), (87), (90), (92), (93), (94), (95),
% 171.71/26.33  | | | | | |            (96), (97), (98), (100), (103), (105), (106), (107),
% 171.71/26.33  | | | | | |            (109), (110), (111), (112), (113), (115), (117), (118),
% 171.71/26.33  | | | | | |            (120), (122), (123), (124), (125), (127), (129), (132),
% 171.71/26.33  | | | | | |            (140), (142), (144), (146), (147), (148), (149), (150),
% 171.71/26.33  | | | | | |            (151), (152), (153), (154), (155), (156), (157), (159),
% 171.71/26.33  | | | | | |            (160), (161), (162), (163), (164), (166), (167), (168),
% 171.71/26.33  | | | | | |            (169), (171), (172), (173), (176), (178), (179), (181),
% 171.71/26.33  | | | | | |            (182), (183), (184), (187), (188), (191), (192), (194),
% 171.71/26.33  | | | | | |            (196), (197), (200), (201), (208), (210), (213), (215),
% 171.71/26.33  | | | | | |            (218), (229), (230) are inconsistent by sub-proof #192.
% 171.71/26.33  | | | | | | 
% 171.71/26.33  | | | | | End of split
% 171.71/26.33  | | | | | 
% 171.71/26.33  | | | | Case 2:
% 171.71/26.33  | | | | | 
% 171.71/26.33  | | | | |   (231)  all_56_12 = e0
% 171.71/26.33  | | | | | 
% 171.71/26.33  | | | | | REF_CLOSE: (6), (201), (231) are inconsistent by sub-proof #919.
% 171.71/26.33  | | | | | 
% 171.71/26.33  | | | | End of split
% 171.71/26.33  | | | | 
% 171.71/26.33  | | | End of split
% 171.71/26.33  | | | 
% 171.71/26.33  | | End of split
% 171.71/26.33  | | 
% 171.71/26.33  | End of split
% 171.71/26.33  | 
% 171.71/26.33  End of proof
% 171.71/26.33  
% 171.71/26.33  Sub-proof #192 shows that the following formulas are inconsistent:
% 171.71/26.33  ----------------------------------------------------------------
% 171.71/26.33    (1)   ~ (all_52_12 = all_14_2)
% 171.71/26.33    (2)  all_56_1 = all_52_4
% 171.71/26.33    (3)  all_56_12 = all_52_3
% 171.71/26.33    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.71/26.33    (5)   ~ (all_52_8 = all_52_12)
% 171.71/26.33    (6)   ~ (e3 = e1)
% 171.71/26.33    (7)  all_58_23 = all_52_7
% 171.71/26.33    (8)   ~ (all_52_4 = all_4_2)
% 171.71/26.33    (9)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.71/26.33    (10)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 171.71/26.33    (11)  all_56_5 = all_52_9
% 171.71/26.33    (12)  op(all_6_2, e3) = all_6_1
% 171.71/26.33    (13)   ~ (all_52_12 = all_6_2)
% 171.71/26.33    (14)  op(e2, e0) = all_52_13
% 171.71/26.33    (15)   ~ (all_52_6 = all_4_2)
% 171.71/26.33    (16)  op(e3, all_6_2) = all_58_0
% 171.71/26.33    (17)  all_56_15 = all_14_2
% 171.71/26.33    (18)  op(e3, all_52_4) = all_58_1
% 171.71/26.33    (19)  all_54_1 = all_52_4
% 171.71/26.33    (20)  op(all_10_2, e1) = all_10_1
% 171.71/26.33    (21)  op(e1, all_10_2) = all_58_10
% 171.71/26.33    (22)   ~ (all_52_9 = all_4_2)
% 171.71/26.33    (23)  op(e1, e1) = all_10_2
% 171.71/26.33    (24)   ~ (all_52_13 = all_4_2)
% 171.71/26.33    (25)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.71/26.33    (26)  op(e0, all_52_3) = all_58_12
% 171.71/26.33    (27)  all_56_8 = all_10_2
% 171.71/26.33    (28)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.71/26.33    (29)  all_58_26 = all_10_2
% 171.71/26.33    (30)   ~ (all_52_4 = all_52_6)
% 171.71/26.33    (31)  all_58_31 = all_14_2
% 171.71/26.33    (32)   ~ (all_52_9 = all_52_13)
% 171.71/26.33    (33)   ~ (all_52_3 = all_6_2)
% 171.71/26.33    (34)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 171.71/26.33    (35)   ~ (all_52_4 = e0)
% 171.71/26.33    (36)  op(all_6_1, all_6_2) = e0
% 171.71/26.33    (37)  all_58_18 = e0
% 171.71/26.33    (38)   ~ (all_52_1 = all_6_2)
% 171.71/26.33    (39)  all_56_11 = all_52_14
% 171.71/26.33    (40)  all_56_0 = all_6_2
% 171.71/26.33    (41)   ~ (all_52_9 = all_10_2)
% 171.71/26.33    (42)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.71/26.33    (43)  all_58_30 = all_52_14
% 171.71/26.33    (44)  all_58_27 = all_52_11
% 171.71/26.33    (45)  op(e3, e2) = all_52_4
% 171.71/26.33    (46)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 171.71/26.33    (47)  all_58_17 = all_52_1
% 171.71/26.33    (48)  op(e3, e1) = all_52_8
% 171.71/26.33    (49)  all_58_19 = all_52_3
% 171.71/26.33    (50)  all_56_9 = all_52_12
% 171.71/26.33    (51)   ~ (e3 = e2)
% 171.71/26.33    (52)   ~ (e2 = e1)
% 171.71/26.33    (53)   ~ (all_52_6 = all_10_2)
% 171.71/26.33    (54)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 171.71/26.33    (55)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 171.71/26.33    (56)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 171.71/26.33    (57)   ~ (all_52_13 = all_14_2)
% 171.71/26.33    (58)   ~ (all_52_1 = all_4_2)
% 171.71/26.33    (59)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.71/26.34    (60)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.71/26.34    (61)  all_54_9 = all_52_6
% 171.71/26.34    (62)   ~ (all_52_13 = all_52_14)
% 171.71/26.34    (63)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.71/26.34    (64)  all_58_16 = all_6_2
% 171.71/26.34    (65)  all_56_13 = all_52_7
% 171.71/26.34    (66)  op(e0, e3) = all_52_3
% 171.71/26.34    (67)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 171.71/26.34    (68)   ~ (all_52_8 = all_52_9)
% 171.71/26.34    (69)   ~ (all_52_4 = all_6_2)
% 171.71/26.34    (70)  all_56_2 = all_52_1
% 171.71/26.34    (71)   ~ (e3 = e0)
% 171.71/26.34    (72)  all_58_29 = all_52_13
% 171.71/26.34    (73)   ~ (all_4_2 = e0)
% 171.71/26.34    (74)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 171.71/26.34    (75)   ~ (all_6_2 = e0)
% 171.71/26.34    (76)   ~ (all_52_6 = all_52_14)
% 171.71/26.34    (77)   ~ (all_52_8 = all_10_2)
% 171.71/26.34    (78)  all_56_4 = all_52_8
% 171.71/26.34    (79)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.71/26.34    (80)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 171.71/26.34    (81)   ~ (all_52_1 = all_52_13)
% 171.71/26.34    (82)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 171.71/26.34    (83)  all_54_10 = all_10_2
% 171.71/26.34    (84)   ~ (all_52_8 = all_52_11)
% 171.71/26.34    (85)   ~ (all_52_8 = all_6_2)
% 171.71/26.34    (86)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.71/26.34    (87)   ~ (all_52_1 = all_52_9)
% 171.71/26.34    (88)  op(e3, e3) = all_6_2
% 171.71/26.34    (89)  all_56_6 = e0
% 171.71/26.34    (90)  all_58_24 = all_52_8
% 171.71/26.34    (91)   ~ (all_52_12 = all_52_14)
% 171.71/26.34    (92)   ~ (all_52_9 = all_52_11)
% 171.71/26.34    (93)  all_58_22 = all_52_6
% 171.71/26.34    (94)   ~ (all_52_4 = all_52_12)
% 171.71/26.34    (95)  all_56_3 = all_4_2
% 171.71/26.34    (96)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 171.71/26.34    (97)  all_54_0 = all_6_2
% 171.71/26.34    (98)   ~ (all_52_14 = all_10_2)
% 171.71/26.34    (99)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 171.71/26.34    (100)   ~ (all_52_1 = e0)
% 171.71/26.34    (101)   ~ (all_52_4 = all_52_8)
% 171.71/26.34    (102)   ~ (all_52_14 = all_14_2)
% 171.71/26.34    (103)  all_58_25 = all_52_9
% 171.71/26.34    (104)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.71/26.34    (105)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.34             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.34    (106)   ~ (all_52_6 = e0)
% 171.71/26.34    (107)  all_54_12 = all_52_3
% 171.71/26.34    (108)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 171.71/26.34    (109)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.71/26.34    (110)  all_58_21 = all_4_2
% 171.71/26.34    (111)  all_56_10 = all_52_13
% 171.71/26.34    (112)   ~ (all_52_3 = e0)
% 171.71/26.34    (113)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.71/26.34    (114)   ~ (e2 = e0)
% 171.71/26.34    (115)   ~ (all_52_1 = all_52_3)
% 171.71/26.34    (116)   ~ (all_52_14 = e0)
% 171.71/26.34    (117)  all_58_28 = all_52_12
% 171.71/26.34    (118)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 171.71/26.34    (119)   ~ (e1 = e0)
% 171.71/26.34    (120)  all_56_7 = all_52_6
% 171.71/26.34    (121)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 171.71/26.34             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 171.71/26.34             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 171.71/26.34             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 171.71/26.34             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 171.71/26.34             (all_58_15 = e0))
% 171.71/26.34    (122)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 171.71/26.34    (123)  all_54_5 = all_4_2
% 171.71/26.34    (124)  op(e2, all_52_13) = all_58_7
% 171.71/26.34    (125)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 171.71/26.34    (126)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 171.71/26.34           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 171.71/26.34           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.71/26.34           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 171.71/26.34           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.71/26.34           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 171.71/26.34           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.71/26.34           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 171.71/26.34           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 171.71/26.34           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 171.71/26.34             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 171.71/26.34             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 171.71/26.34             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 171.71/26.34             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 171.71/26.34             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 171.71/26.34             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 171.71/26.34             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 171.71/26.34             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 171.71/26.34             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 171.71/26.34             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 171.71/26.34             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 171.71/26.34             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 171.71/26.34             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 171.71/26.34             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 171.71/26.34             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 171.71/26.34             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 171.71/26.34           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 171.71/26.34           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 171.71/26.34           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 171.71/26.34             all_58_30 = e0 & e1 = e0)
% 171.71/26.34    (127)  all_54_7 = all_52_13
% 171.71/26.34    (128)   ~ (all_10_1 = e0)
% 171.71/26.34    (129)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 171.71/26.34    (130)   ~ (all_52_12 = all_52_13)
% 171.71/26.34  
% 171.71/26.34  Begin of proof
% 171.71/26.34  | 
% 171.71/26.34  | BETA: splitting (10) gives:
% 171.71/26.34  | 
% 171.71/26.34  | Case 1:
% 171.71/26.34  | | 
% 171.71/26.34  | |   (131)  all_56_3 = e0
% 171.71/26.34  | | 
% 171.71/26.34  | | COMBINE_EQS: (95), (131) imply:
% 171.71/26.34  | |   (132)  all_4_2 = e0
% 171.71/26.34  | | 
% 171.71/26.34  | | REDUCE: (73), (132) imply:
% 171.71/26.34  | |   (133)  $false
% 171.71/26.34  | | 
% 171.71/26.34  | | CLOSE: (133) is inconsistent.
% 171.71/26.34  | | 
% 171.71/26.34  | Case 2:
% 171.71/26.34  | | 
% 171.71/26.34  | |   (134)   ~ (all_56_3 = e0)
% 171.71/26.34  | |   (135)  all_56_7 = e0 | all_56_13 = e0
% 171.71/26.34  | | 
% 171.71/26.34  | | BETA: splitting (135) gives:
% 171.71/26.34  | | 
% 171.71/26.34  | | Case 1:
% 171.71/26.34  | | | 
% 171.71/26.34  | | |   (136)  all_56_7 = e0
% 171.71/26.34  | | | 
% 171.71/26.34  | | | COMBINE_EQS: (120), (136) imply:
% 171.71/26.34  | | |   (137)  all_52_6 = e0
% 171.71/26.34  | | | 
% 171.71/26.34  | | | REDUCE: (106), (137) imply:
% 171.71/26.34  | | |   (138)  $false
% 171.71/26.34  | | | 
% 171.71/26.34  | | | CLOSE: (138) is inconsistent.
% 171.71/26.34  | | | 
% 171.71/26.34  | | Case 2:
% 171.71/26.34  | | | 
% 171.71/26.34  | | |   (139)  all_56_13 = e0
% 171.71/26.34  | | | 
% 171.71/26.34  | | | COMBINE_EQS: (65), (139) imply:
% 171.71/26.34  | | |   (140)  all_52_7 = e0
% 171.71/26.34  | | | 
% 171.71/26.34  | | | SIMP: (140) implies:
% 171.71/26.34  | | |   (141)  all_52_7 = e0
% 171.71/26.34  | | | 
% 171.71/26.34  | | | COMBINE_EQS: (7), (141) imply:
% 171.71/26.34  | | |   (142)  all_58_23 = e0
% 171.71/26.34  | | | 
% 171.71/26.34  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (11), (12), (13), (14),
% 171.71/26.34  | | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 171.71/26.34  | | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 171.71/26.34  | | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (44),
% 171.71/26.34  | | |            (45), (46), (47), (48), (49), (50), (51), (52), (53), (54),
% 171.71/26.34  | | |            (55), (56), (57), (58), (59), (60), (61), (62), (63), (64),
% 171.71/26.34  | | |            (66), (67), (68), (69), (70), (71), (72), (73), (74), (75),
% 171.71/26.34  | | |            (76), (77), (78), (79), (80), (81), (82), (83), (84), (85),
% 171.71/26.34  | | |            (86), (87), (88), (89), (90), (91), (92), (93), (94), (95),
% 171.71/26.34  | | |            (96), (97), (98), (99), (100), (101), (102), (103), (104),
% 171.71/26.34  | | |            (105), (106), (107), (108), (109), (110), (111), (112), (113),
% 171.71/26.34  | | |            (114), (115), (116), (117), (118), (119), (120), (121), (122),
% 171.71/26.34  | | |            (123), (124), (125), (126), (127), (128), (129), (130), (139),
% 171.71/26.34  | | |            (142) are inconsistent by sub-proof #193.
% 171.71/26.34  | | | 
% 171.71/26.34  | | End of split
% 171.71/26.34  | | 
% 171.71/26.34  | End of split
% 171.71/26.34  | 
% 171.71/26.34  End of proof
% 171.71/26.34  
% 171.71/26.34  Sub-proof #193 shows that the following formulas are inconsistent:
% 171.71/26.34  ----------------------------------------------------------------
% 171.71/26.34    (1)   ~ (all_52_12 = all_14_2)
% 171.71/26.34    (2)  all_56_1 = all_52_4
% 171.71/26.34    (3)  all_56_12 = all_52_3
% 171.71/26.34    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.71/26.34    (5)   ~ (all_52_8 = all_52_12)
% 171.71/26.34    (6)   ~ (e3 = e1)
% 171.71/26.34    (7)   ~ (all_52_4 = all_4_2)
% 171.71/26.34    (8)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.71/26.34    (9)  all_56_5 = all_52_9
% 171.71/26.34    (10)  op(all_6_2, e3) = all_6_1
% 171.71/26.34    (11)   ~ (all_52_12 = all_6_2)
% 171.71/26.34    (12)  op(e2, e0) = all_52_13
% 171.71/26.34    (13)   ~ (all_52_6 = all_4_2)
% 171.71/26.34    (14)  op(e3, all_6_2) = all_58_0
% 171.71/26.34    (15)  all_56_15 = all_14_2
% 171.71/26.34    (16)  op(e3, all_52_4) = all_58_1
% 171.71/26.34    (17)  all_54_1 = all_52_4
% 171.71/26.34    (18)  op(all_10_2, e1) = all_10_1
% 171.71/26.34    (19)  op(e1, all_10_2) = all_58_10
% 171.71/26.34    (20)   ~ (all_52_9 = all_4_2)
% 171.71/26.34    (21)  op(e1, e1) = all_10_2
% 171.71/26.34    (22)   ~ (all_52_13 = all_4_2)
% 171.71/26.34    (23)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.71/26.34    (24)  op(e0, all_52_3) = all_58_12
% 171.71/26.34    (25)  all_56_8 = all_10_2
% 171.71/26.34    (26)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.71/26.34    (27)  all_58_26 = all_10_2
% 171.71/26.34    (28)   ~ (all_52_4 = all_52_6)
% 171.71/26.34    (29)  all_58_31 = all_14_2
% 171.71/26.34    (30)   ~ (all_52_9 = all_52_13)
% 171.71/26.34    (31)   ~ (all_52_3 = all_6_2)
% 171.71/26.34    (32)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 171.71/26.34    (33)   ~ (all_52_4 = e0)
% 171.71/26.34    (34)  op(all_6_1, all_6_2) = e0
% 171.71/26.34    (35)  all_58_18 = e0
% 171.71/26.34    (36)   ~ (all_52_1 = all_6_2)
% 171.71/26.34    (37)  all_56_11 = all_52_14
% 171.71/26.34    (38)  all_56_0 = all_6_2
% 171.71/26.34    (39)   ~ (all_52_9 = all_10_2)
% 171.71/26.34    (40)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.71/26.34    (41)  all_58_30 = all_52_14
% 171.71/26.34    (42)  all_58_27 = all_52_11
% 171.71/26.34    (43)  op(e3, e2) = all_52_4
% 171.71/26.34    (44)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 171.71/26.34    (45)  all_58_17 = all_52_1
% 171.71/26.34    (46)  op(e3, e1) = all_52_8
% 171.71/26.34    (47)  all_58_19 = all_52_3
% 171.71/26.34    (48)  all_56_9 = all_52_12
% 171.71/26.34    (49)   ~ (e3 = e2)
% 171.71/26.34    (50)   ~ (e2 = e1)
% 171.71/26.34    (51)   ~ (all_52_6 = all_10_2)
% 171.71/26.34    (52)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 171.71/26.34    (53)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 171.71/26.34    (54)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 171.71/26.34    (55)   ~ (all_52_13 = all_14_2)
% 171.71/26.34    (56)   ~ (all_52_1 = all_4_2)
% 171.71/26.34    (57)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.71/26.34    (58)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.71/26.34    (59)  all_54_9 = all_52_6
% 171.71/26.34    (60)   ~ (all_52_13 = all_52_14)
% 171.71/26.34    (61)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.71/26.34    (62)  all_58_16 = all_6_2
% 171.71/26.34    (63)  op(e0, e3) = all_52_3
% 171.71/26.34    (64)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 171.71/26.34    (65)   ~ (all_52_8 = all_52_9)
% 171.71/26.34    (66)   ~ (all_52_4 = all_6_2)
% 171.71/26.34    (67)  all_56_2 = all_52_1
% 171.71/26.34    (68)   ~ (e3 = e0)
% 171.71/26.34    (69)  all_58_29 = all_52_13
% 171.71/26.34    (70)   ~ (all_4_2 = e0)
% 171.71/26.34    (71)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 171.71/26.34    (72)   ~ (all_6_2 = e0)
% 171.71/26.34    (73)   ~ (all_52_6 = all_52_14)
% 171.71/26.34    (74)   ~ (all_52_8 = all_10_2)
% 171.71/26.34    (75)  all_56_4 = all_52_8
% 171.71/26.34    (76)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.71/26.34    (77)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 171.71/26.34    (78)   ~ (all_52_1 = all_52_13)
% 171.71/26.34    (79)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 171.71/26.34    (80)  all_54_10 = all_10_2
% 171.71/26.34    (81)   ~ (all_52_8 = all_52_11)
% 171.71/26.34    (82)   ~ (all_52_8 = all_6_2)
% 171.71/26.34    (83)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.71/26.34    (84)   ~ (all_52_1 = all_52_9)
% 171.71/26.34    (85)  op(e3, e3) = all_6_2
% 171.71/26.34    (86)  all_56_6 = e0
% 171.71/26.34    (87)  all_56_13 = e0
% 171.71/26.34    (88)  all_58_24 = all_52_8
% 171.71/26.34    (89)   ~ (all_52_12 = all_52_14)
% 171.71/26.34    (90)   ~ (all_52_9 = all_52_11)
% 171.71/26.34    (91)  all_58_22 = all_52_6
% 171.71/26.34    (92)   ~ (all_52_4 = all_52_12)
% 171.71/26.34    (93)  all_56_3 = all_4_2
% 171.71/26.34    (94)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 171.71/26.34    (95)  all_54_0 = all_6_2
% 171.71/26.34    (96)   ~ (all_52_14 = all_10_2)
% 171.71/26.34    (97)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 171.71/26.34    (98)   ~ (all_52_1 = e0)
% 171.71/26.34    (99)   ~ (all_52_4 = all_52_8)
% 171.71/26.34    (100)   ~ (all_52_14 = all_14_2)
% 171.71/26.34    (101)  all_58_25 = all_52_9
% 171.71/26.34    (102)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.71/26.34    (103)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.34             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.34    (104)   ~ (all_52_6 = e0)
% 171.71/26.34    (105)  all_54_12 = all_52_3
% 171.71/26.34    (106)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 171.71/26.34    (107)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.71/26.34    (108)  all_58_21 = all_4_2
% 171.71/26.34    (109)  all_56_10 = all_52_13
% 171.71/26.34    (110)   ~ (all_52_3 = e0)
% 171.71/26.34    (111)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.71/26.34    (112)   ~ (e2 = e0)
% 171.71/26.34    (113)   ~ (all_52_1 = all_52_3)
% 171.71/26.34    (114)   ~ (all_52_14 = e0)
% 171.71/26.34    (115)  all_58_28 = all_52_12
% 171.71/26.34    (116)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 171.71/26.34    (117)   ~ (e1 = e0)
% 171.71/26.34    (118)  all_56_7 = all_52_6
% 171.71/26.34    (119)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 171.71/26.34             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 171.71/26.34             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 171.71/26.34             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 171.71/26.34             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 171.71/26.34             (all_58_15 = e0))
% 171.71/26.34    (120)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 171.71/26.34    (121)  all_54_5 = all_4_2
% 171.71/26.34    (122)  op(e2, all_52_13) = all_58_7
% 171.71/26.34    (123)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 171.71/26.34    (124)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 171.71/26.34           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 171.71/26.34           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.71/26.34           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 171.71/26.34           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.71/26.34           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 171.71/26.34           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.71/26.34           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 171.71/26.34           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 171.71/26.34           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 171.71/26.34             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 171.71/26.34             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 171.71/26.34             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 171.71/26.34             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 171.71/26.34             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 171.71/26.34             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 171.71/26.34             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 171.71/26.34             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 171.71/26.34             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 171.71/26.34             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 171.71/26.34             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 171.71/26.34             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 171.71/26.34             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 171.71/26.34             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 171.71/26.34             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 171.71/26.34             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 171.71/26.34           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 171.71/26.34           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 171.71/26.34           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 171.71/26.34             all_58_30 = e0 & e1 = e0)
% 171.71/26.34    (125)  all_54_7 = all_52_13
% 171.71/26.34    (126)  all_58_23 = e0
% 171.71/26.34    (127)   ~ (all_10_1 = e0)
% 171.71/26.34    (128)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 171.71/26.34    (129)   ~ (all_52_12 = all_52_13)
% 171.71/26.34  
% 171.71/26.34  Begin of proof
% 171.71/26.34  | 
% 171.71/26.34  | BETA: splitting (64) gives:
% 171.71/26.34  | 
% 171.71/26.34  | Case 1:
% 171.71/26.34  | | 
% 171.71/26.34  | |   (130)  all_56_4 = e0
% 171.71/26.34  | | 
% 171.71/26.34  | | COMBINE_EQS: (75), (130) imply:
% 171.71/26.34  | |   (131)  all_52_8 = e0
% 171.71/26.34  | | 
% 171.71/26.34  | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (11), (12), (16), (17), (18), (19),
% 171.71/26.34  | |            (21), (23), (24), (26), (27), (28), (29), (30), (31), (35), (36),
% 171.71/26.34  | |            (37), (38), (39), (40), (41), (42), (43), (45), (46), (47), (48),
% 171.71/26.34  | |            (49), (51), (55), (57), (58), (59), (60), (61), (62), (63), (66),
% 171.71/26.34  | |            (67), (68), (69), (71), (73), (74), (77), (78), (79), (80), (81),
% 171.71/26.34  | |            (82), (84), (86), (88), (92), (95), (96), (97), (99), (101),
% 171.71/26.34  | |            (102), (103), (104), (105), (106), (109), (110), (112), (113),
% 171.71/26.34  | |            (114), (115), (117), (118), (119), (120), (122), (123), (127),
% 171.71/26.34  | |            (129), (131) are inconsistent by sub-proof #197.
% 171.71/26.34  | | 
% 171.71/26.34  | Case 2:
% 171.71/26.34  | | 
% 171.71/26.34  | |   (132)   ~ (all_56_4 = e0)
% 171.71/26.34  | | 
% 171.71/26.34  | | REDUCE: (75), (132) imply:
% 171.71/26.34  | |   (133)   ~ (all_52_8 = e0)
% 171.71/26.34  | | 
% 171.71/26.34  | | REF_CLOSE: (1), (2), (6), (7), (8), (9), (10), (11), (13), (14), (15), (17),
% 171.71/26.34  | |            (20), (22), (25), (26), (27), (28), (29), (30), (31), (32), (33),
% 171.71/26.34  | |            (34), (35), (36), (37), (38), (40), (41), (42), (44), (45), (47),
% 171.71/26.34  | |            (48), (49), (50), (51), (52), (53), (54), (55), (56), (58), (59),
% 171.71/26.34  | |            (60), (62), (65), (66), (67), (68), (69), (70), (72), (73), (74),
% 171.71/26.34  | |            (75), (76), (78), (82), (83), (84), (85), (86), (87), (88), (89),
% 171.71/26.34  | |            (90), (91), (92), (93), (94), (96), (97), (98), (99), (100),
% 171.71/26.34  | |            (101), (102), (103), (104), (105), (107), (108), (109), (110),
% 171.71/26.34  | |            (111), (112), (113), (115), (116), (117), (118), (120), (121),
% 171.71/26.34  | |            (124), (125), (126), (128), (129), (133) are inconsistent by
% 171.71/26.34  | |            sub-proof #194.
% 171.71/26.34  | | 
% 171.71/26.34  | End of split
% 171.71/26.34  | 
% 171.71/26.34  End of proof
% 171.71/26.34  
% 171.71/26.34  Sub-proof #194 shows that the following formulas are inconsistent:
% 171.71/26.34  ----------------------------------------------------------------
% 171.71/26.34    (1)   ~ (all_52_12 = all_14_2)
% 171.71/26.34    (2)  all_56_1 = all_52_4
% 171.71/26.34    (3)   ~ (e3 = e1)
% 171.71/26.34    (4)   ~ (all_52_4 = all_4_2)
% 171.71/26.34    (5)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.71/26.34    (6)  all_56_5 = all_52_9
% 171.71/26.34    (7)  op(all_6_2, e3) = all_6_1
% 171.71/26.34    (8)   ~ (all_52_12 = all_6_2)
% 171.71/26.34    (9)   ~ (all_52_6 = all_4_2)
% 171.71/26.34    (10)  op(e3, all_6_2) = all_58_0
% 171.71/26.34    (11)  all_56_15 = all_14_2
% 171.71/26.34    (12)  all_54_1 = all_52_4
% 171.71/26.34    (13)   ~ (all_52_9 = all_4_2)
% 171.71/26.34    (14)   ~ (all_52_13 = all_4_2)
% 171.71/26.34    (15)  all_56_8 = all_10_2
% 171.71/26.34    (16)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.71/26.34    (17)  all_58_26 = all_10_2
% 171.71/26.34    (18)   ~ (all_52_4 = all_52_6)
% 171.71/26.34    (19)  all_58_31 = all_14_2
% 171.71/26.34    (20)   ~ (all_52_9 = all_52_13)
% 171.71/26.34    (21)   ~ (all_52_3 = all_6_2)
% 171.71/26.34    (22)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 171.71/26.34    (23)   ~ (all_52_4 = e0)
% 171.71/26.34    (24)  op(all_6_1, all_6_2) = e0
% 171.71/26.34    (25)  all_58_18 = e0
% 171.71/26.34    (26)   ~ (all_52_1 = all_6_2)
% 171.71/26.34    (27)  all_56_11 = all_52_14
% 171.71/26.34    (28)  all_56_0 = all_6_2
% 171.71/26.34    (29)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.71/26.34    (30)  all_58_30 = all_52_14
% 171.71/26.34    (31)  all_58_27 = all_52_11
% 171.71/26.34    (32)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 171.71/26.34    (33)  all_58_17 = all_52_1
% 171.71/26.34    (34)  all_58_19 = all_52_3
% 171.71/26.34    (35)  all_56_9 = all_52_12
% 171.71/26.34    (36)   ~ (e3 = e2)
% 171.71/26.34    (37)   ~ (e2 = e1)
% 171.71/26.34    (38)   ~ (all_52_6 = all_10_2)
% 171.71/26.34    (39)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 171.71/26.34    (40)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 171.71/26.34    (41)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 171.71/26.34    (42)   ~ (all_52_13 = all_14_2)
% 171.71/26.34    (43)   ~ (all_52_1 = all_4_2)
% 171.71/26.34    (44)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.71/26.34    (45)  all_54_9 = all_52_6
% 171.71/26.34    (46)   ~ (all_52_13 = all_52_14)
% 171.71/26.34    (47)  all_58_16 = all_6_2
% 171.71/26.34    (48)   ~ (all_52_8 = all_52_9)
% 171.71/26.34    (49)   ~ (all_52_4 = all_6_2)
% 171.71/26.34    (50)  all_56_2 = all_52_1
% 171.71/26.34    (51)   ~ (e3 = e0)
% 171.71/26.34    (52)  all_58_29 = all_52_13
% 171.71/26.34    (53)   ~ (all_4_2 = e0)
% 171.71/26.34    (54)   ~ (all_6_2 = e0)
% 171.71/26.34    (55)   ~ (all_52_6 = all_52_14)
% 171.71/26.34    (56)   ~ (all_52_8 = all_10_2)
% 171.71/26.34    (57)  all_56_4 = all_52_8
% 171.71/26.34    (58)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.71/26.34    (59)   ~ (all_52_1 = all_52_13)
% 171.71/26.34    (60)   ~ (all_52_8 = all_6_2)
% 171.71/26.34    (61)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.71/26.34    (62)   ~ (all_52_1 = all_52_9)
% 171.71/26.34    (63)  op(e3, e3) = all_6_2
% 171.71/26.34    (64)  all_56_6 = e0
% 171.71/26.34    (65)  all_56_13 = e0
% 171.71/26.34    (66)  all_58_24 = all_52_8
% 171.71/26.34    (67)   ~ (all_52_12 = all_52_14)
% 171.71/26.34    (68)   ~ (all_52_9 = all_52_11)
% 171.71/26.34    (69)  all_58_22 = all_52_6
% 171.71/26.34    (70)   ~ (all_52_4 = all_52_12)
% 171.71/26.34    (71)  all_56_3 = all_4_2
% 171.71/26.34    (72)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 171.71/26.34    (73)   ~ (all_52_14 = all_10_2)
% 171.71/26.34    (74)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 171.71/26.34    (75)   ~ (all_52_1 = e0)
% 171.71/26.34    (76)   ~ (all_52_4 = all_52_8)
% 171.71/26.34    (77)   ~ (all_52_14 = all_14_2)
% 171.71/26.34    (78)  all_58_25 = all_52_9
% 171.71/26.34    (79)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.71/26.34    (80)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.34            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.34    (81)   ~ (all_52_6 = e0)
% 171.71/26.34    (82)  all_54_12 = all_52_3
% 171.71/26.34    (83)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.71/26.34    (84)  all_58_21 = all_4_2
% 171.71/26.34    (85)  all_56_10 = all_52_13
% 171.71/26.34    (86)   ~ (all_52_3 = e0)
% 171.71/26.34    (87)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.71/26.34    (88)   ~ (e2 = e0)
% 171.71/26.34    (89)   ~ (all_52_1 = all_52_3)
% 171.71/26.34    (90)  all_58_28 = all_52_12
% 171.71/26.34    (91)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 171.71/26.34    (92)   ~ (e1 = e0)
% 171.71/26.34    (93)  all_56_7 = all_52_6
% 171.71/26.34    (94)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 171.71/26.34    (95)   ~ (all_52_8 = e0)
% 171.71/26.34    (96)  all_54_5 = all_4_2
% 171.71/26.34    (97)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 171.71/26.34          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 171.71/26.34          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.71/26.34          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 171.71/26.34          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.71/26.34          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 171.71/26.34          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.71/26.34          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 171.71/26.34          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 171.71/26.34          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 171.71/26.34            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 171.71/26.34            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 171.71/26.34            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 171.71/26.34            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 171.71/26.34            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 171.71/26.34            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 171.71/26.34            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 171.71/26.34            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 171.71/26.34            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 171.71/26.34            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 171.71/26.34            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 171.71/26.34            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 171.71/26.34            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 171.71/26.34            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 171.71/26.34            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 171.71/26.34            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 171.71/26.34          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 171.71/26.34          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 171.71/26.34          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 171.71/26.34            all_58_30 = e0 & e1 = e0)
% 171.71/26.34    (98)  all_54_7 = all_52_13
% 171.71/26.34    (99)  all_58_23 = e0
% 171.71/26.34    (100)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 171.71/26.34    (101)   ~ (all_52_12 = all_52_13)
% 171.71/26.34  
% 171.71/26.34  Begin of proof
% 171.71/26.34  | 
% 171.71/26.34  | BETA: splitting (61) gives:
% 171.71/26.34  | 
% 171.71/26.34  | Case 1:
% 171.71/26.34  | | 
% 171.71/26.34  | |   (102)  all_56_0 = e0
% 171.71/26.34  | | 
% 171.71/26.34  | | COMBINE_EQS: (28), (102) imply:
% 171.71/26.34  | |   (103)  all_6_2 = e0
% 171.71/26.34  | | 
% 171.71/26.34  | | REDUCE: (54), (103) imply:
% 171.71/26.34  | |   (104)  $false
% 171.71/26.34  | | 
% 171.71/26.34  | | CLOSE: (104) is inconsistent.
% 171.71/26.34  | | 
% 171.71/26.34  | Case 2:
% 171.71/26.34  | | 
% 171.71/26.34  | |   (105)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.71/26.34  | | 
% 171.71/26.35  | | BETA: splitting (105) gives:
% 171.71/26.35  | | 
% 171.71/26.35  | | Case 1:
% 171.71/26.35  | | | 
% 171.71/26.35  | | |   (106)  all_56_1 = e0
% 171.71/26.35  | | | 
% 171.71/26.35  | | | COMBINE_EQS: (2), (106) imply:
% 171.71/26.35  | | |   (107)  all_52_4 = e0
% 171.71/26.35  | | | 
% 171.71/26.35  | | | REDUCE: (23), (107) imply:
% 171.71/26.35  | | |   (108)  $false
% 171.71/26.35  | | | 
% 171.71/26.35  | | | CLOSE: (108) is inconsistent.
% 171.71/26.35  | | | 
% 171.71/26.35  | | Case 2:
% 171.71/26.35  | | | 
% 171.71/26.35  | | |   (109)  all_56_4 = e0 | all_56_9 = e0
% 171.71/26.35  | | | 
% 171.71/26.35  | | | BETA: splitting (109) gives:
% 171.71/26.35  | | | 
% 171.71/26.35  | | | Case 1:
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | |   (110)  all_56_4 = e0
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | | COMBINE_EQS: (57), (110) imply:
% 171.71/26.35  | | | |   (111)  all_52_8 = e0
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | | REDUCE: (95), (111) imply:
% 171.71/26.35  | | | |   (112)  $false
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | | CLOSE: (112) is inconsistent.
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | Case 2:
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | |   (113)  all_56_9 = e0
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | | COMBINE_EQS: (35), (113) imply:
% 171.71/26.35  | | | |   (114)  all_52_12 = e0
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | | SIMP: (114) implies:
% 171.71/26.35  | | | |   (115)  all_52_12 = e0
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | | COMBINE_EQS: (90), (115) imply:
% 171.71/26.35  | | | |   (116)  all_58_28 = e0
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | | REDUCE: (101), (115) imply:
% 171.71/26.35  | | | |   (117)   ~ (all_52_13 = e0)
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | | SIMP: (117) implies:
% 171.71/26.35  | | | |   (118)   ~ (all_52_13 = e0)
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | | REDUCE: (67), (115) imply:
% 171.71/26.35  | | | |   (119)   ~ (all_52_14 = e0)
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | | SIMP: (119) implies:
% 171.71/26.35  | | | |   (120)   ~ (all_52_14 = e0)
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | | REDUCE: (1), (115) imply:
% 171.71/26.35  | | | |   (121)   ~ (all_14_2 = e0)
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | | SIMP: (121) implies:
% 171.71/26.35  | | | |   (122)   ~ (all_14_2 = e0)
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | | REDUCE: (8), (115) imply:
% 171.71/26.35  | | | |   (123)   ~ (all_6_2 = e0)
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13),
% 171.71/26.35  | | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 171.71/26.35  | | | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33),
% 171.71/26.35  | | | |            (34), (36), (37), (38), (39), (40), (41), (42), (43), (44),
% 171.71/26.35  | | | |            (45), (46), (47), (48), (49), (50), (51), (52), (53), (54),
% 171.71/26.35  | | | |            (55), (56), (57), (58), (59), (60), (62), (63), (64), (65),
% 171.71/26.35  | | | |            (66), (68), (69), (71), (72), (73), (74), (75), (76), (77),
% 171.71/26.35  | | | |            (78), (79), (80), (81), (82), (83), (84), (85), (86), (87),
% 171.71/26.35  | | | |            (88), (89), (91), (92), (93), (94), (96), (97), (98), (99),
% 171.71/26.35  | | | |            (100), (113), (116), (118), (120), (122) are inconsistent by
% 171.71/26.35  | | | |            sub-proof #195.
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | End of split
% 171.71/26.35  | | | 
% 171.71/26.35  | | End of split
% 171.71/26.35  | | 
% 171.71/26.35  | End of split
% 171.71/26.35  | 
% 171.71/26.35  End of proof
% 171.71/26.35  
% 171.71/26.35  Sub-proof #195 shows that the following formulas are inconsistent:
% 171.71/26.35  ----------------------------------------------------------------
% 171.71/26.35    (1)  all_56_1 = all_52_4
% 171.71/26.35    (2)   ~ (e3 = e1)
% 171.71/26.35    (3)   ~ (all_52_4 = all_4_2)
% 171.71/26.35    (4)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.71/26.35    (5)  all_56_5 = all_52_9
% 171.71/26.35    (6)  op(all_6_2, e3) = all_6_1
% 171.71/26.35    (7)   ~ (all_52_6 = all_4_2)
% 171.71/26.35    (8)  op(e3, all_6_2) = all_58_0
% 171.71/26.35    (9)  all_56_15 = all_14_2
% 171.71/26.35    (10)  all_54_1 = all_52_4
% 171.71/26.35    (11)   ~ (all_14_2 = e0)
% 171.71/26.35    (12)   ~ (all_52_9 = all_4_2)
% 171.71/26.35    (13)   ~ (all_52_13 = all_4_2)
% 171.71/26.35    (14)  all_56_8 = all_10_2
% 171.71/26.35    (15)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.71/26.35    (16)  all_58_26 = all_10_2
% 171.71/26.35    (17)   ~ (all_52_4 = all_52_6)
% 171.71/26.35    (18)  all_58_31 = all_14_2
% 171.71/26.35    (19)   ~ (all_52_9 = all_52_13)
% 171.71/26.35    (20)   ~ (all_52_3 = all_6_2)
% 171.71/26.35    (21)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 171.71/26.35    (22)   ~ (all_52_4 = e0)
% 171.71/26.35    (23)  all_56_9 = e0
% 171.71/26.35    (24)  op(all_6_1, all_6_2) = e0
% 171.71/26.35    (25)  all_58_18 = e0
% 171.71/26.35    (26)   ~ (all_52_1 = all_6_2)
% 171.71/26.35    (27)  all_56_11 = all_52_14
% 171.71/26.35    (28)  all_56_0 = all_6_2
% 171.71/26.35    (29)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.71/26.35    (30)  all_58_30 = all_52_14
% 171.71/26.35    (31)  all_58_27 = all_52_11
% 171.71/26.35    (32)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 171.71/26.35    (33)  all_58_17 = all_52_1
% 171.71/26.35    (34)  all_58_19 = all_52_3
% 171.71/26.35    (35)   ~ (e3 = e2)
% 171.71/26.35    (36)   ~ (e2 = e1)
% 171.71/26.35    (37)   ~ (all_52_6 = all_10_2)
% 171.71/26.35    (38)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 171.71/26.35    (39)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 171.71/26.35    (40)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 171.71/26.35    (41)   ~ (all_52_13 = all_14_2)
% 171.71/26.35    (42)   ~ (all_52_1 = all_4_2)
% 171.71/26.35    (43)  all_58_28 = e0
% 171.71/26.35    (44)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.71/26.35    (45)  all_54_9 = all_52_6
% 171.71/26.35    (46)   ~ (all_52_13 = all_52_14)
% 171.71/26.35    (47)  all_58_16 = all_6_2
% 171.71/26.35    (48)   ~ (all_52_8 = all_52_9)
% 171.71/26.35    (49)   ~ (all_52_4 = all_6_2)
% 171.71/26.35    (50)  all_56_2 = all_52_1
% 171.71/26.35    (51)   ~ (e3 = e0)
% 171.71/26.35    (52)  all_58_29 = all_52_13
% 171.71/26.35    (53)   ~ (all_52_13 = e0)
% 171.71/26.35    (54)   ~ (all_4_2 = e0)
% 171.71/26.35    (55)   ~ (all_6_2 = e0)
% 171.71/26.35    (56)   ~ (all_52_6 = all_52_14)
% 171.71/26.35    (57)   ~ (all_52_8 = all_10_2)
% 171.71/26.35    (58)  all_56_4 = all_52_8
% 171.71/26.35    (59)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.71/26.35    (60)   ~ (all_52_1 = all_52_13)
% 171.71/26.35    (61)   ~ (all_52_8 = all_6_2)
% 171.71/26.35    (62)   ~ (all_52_1 = all_52_9)
% 171.71/26.35    (63)  op(e3, e3) = all_6_2
% 171.71/26.35    (64)  all_56_6 = e0
% 171.71/26.35    (65)  all_56_13 = e0
% 171.71/26.35    (66)  all_58_24 = all_52_8
% 171.71/26.35    (67)   ~ (all_52_9 = all_52_11)
% 171.71/26.35    (68)  all_58_22 = all_52_6
% 171.71/26.35    (69)  all_56_3 = all_4_2
% 171.71/26.35    (70)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 171.71/26.35    (71)   ~ (all_52_14 = all_10_2)
% 171.71/26.35    (72)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 171.71/26.35    (73)   ~ (all_52_1 = e0)
% 171.71/26.35    (74)   ~ (all_52_4 = all_52_8)
% 171.71/26.35    (75)   ~ (all_52_14 = all_14_2)
% 171.71/26.35    (76)  all_58_25 = all_52_9
% 171.71/26.35    (77)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.71/26.35    (78)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.35            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.35    (79)   ~ (all_52_6 = e0)
% 171.71/26.35    (80)  all_54_12 = all_52_3
% 171.71/26.35    (81)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.71/26.35    (82)  all_58_21 = all_4_2
% 171.71/26.35    (83)  all_56_10 = all_52_13
% 171.71/26.35    (84)   ~ (all_52_3 = e0)
% 171.71/26.35    (85)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.71/26.35    (86)   ~ (e2 = e0)
% 171.71/26.35    (87)   ~ (all_52_1 = all_52_3)
% 171.71/26.35    (88)   ~ (all_52_14 = e0)
% 171.71/26.35    (89)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 171.71/26.35    (90)   ~ (e1 = e0)
% 171.71/26.35    (91)  all_56_7 = all_52_6
% 171.71/26.35    (92)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 171.71/26.35    (93)  all_54_5 = all_4_2
% 171.71/26.35    (94)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 171.71/26.35          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 171.71/26.35          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.71/26.35          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 171.71/26.35          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.71/26.35          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 171.71/26.35          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.71/26.35          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 171.71/26.35          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 171.71/26.35          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 171.71/26.35            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 171.71/26.35            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 171.71/26.35            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 171.71/26.35            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 171.71/26.35            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 171.71/26.35            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 171.71/26.35            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 171.71/26.35            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 171.71/26.35            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 171.71/26.35            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 171.71/26.35            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 171.71/26.35            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 171.71/26.35            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 171.71/26.35            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 171.71/26.35            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 171.71/26.35            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 171.71/26.35          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 171.71/26.35          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 171.71/26.35          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 171.71/26.35            all_58_30 = e0 & e1 = e0)
% 171.71/26.35    (95)  all_54_7 = all_52_13
% 171.71/26.35    (96)  all_58_23 = e0
% 171.71/26.35    (97)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 171.71/26.35  
% 171.71/26.35  Begin of proof
% 171.71/26.35  | 
% 171.71/26.35  | BETA: splitting (59) gives:
% 171.71/26.35  | 
% 171.71/26.35  | Case 1:
% 171.71/26.35  | | 
% 171.71/26.35  | |   (98)  all_56_2 = e0
% 171.71/26.35  | | 
% 171.71/26.35  | | COMBINE_EQS: (50), (98) imply:
% 171.71/26.35  | |   (99)  all_52_1 = e0
% 171.71/26.35  | | 
% 171.71/26.35  | | REDUCE: (73), (99) imply:
% 171.71/26.35  | |   (100)  $false
% 171.71/26.35  | | 
% 171.71/26.35  | | CLOSE: (100) is inconsistent.
% 171.71/26.35  | | 
% 171.71/26.35  | Case 2:
% 171.71/26.35  | | 
% 171.71/26.35  | |   (101)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.71/26.35  | | 
% 171.71/26.35  | | BETA: splitting (101) gives:
% 171.71/26.35  | | 
% 171.71/26.35  | | Case 1:
% 171.71/26.35  | | | 
% 171.71/26.35  | | |   (102)  all_56_3 = e0
% 171.71/26.35  | | | 
% 171.71/26.35  | | | COMBINE_EQS: (69), (102) imply:
% 171.71/26.35  | | |   (103)  all_4_2 = e0
% 171.71/26.35  | | | 
% 171.71/26.35  | | | REDUCE: (54), (103) imply:
% 171.71/26.35  | | |   (104)  $false
% 171.71/26.35  | | | 
% 171.71/26.35  | | | CLOSE: (104) is inconsistent.
% 171.71/26.35  | | | 
% 171.71/26.35  | | Case 2:
% 171.71/26.35  | | | 
% 171.71/26.35  | | |   (105)  all_56_5 = e0 | all_56_10 = e0
% 171.71/26.35  | | | 
% 171.71/26.35  | | | BETA: splitting (105) gives:
% 171.71/26.35  | | | 
% 171.71/26.35  | | | Case 1:
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | |   (106)  all_56_5 = e0
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | | COMBINE_EQS: (5), (106) imply:
% 171.71/26.35  | | | |   (107)  all_52_9 = e0
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | | COMBINE_EQS: (76), (107) imply:
% 171.71/26.35  | | | |   (108)  all_58_25 = e0
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | | REDUCE: (48), (107) imply:
% 171.71/26.35  | | | |   (109)   ~ (all_52_8 = e0)
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | | REDUCE: (67), (107) imply:
% 171.71/26.35  | | | |   (110)   ~ (all_52_11 = e0)
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | | SIMP: (110) implies:
% 171.71/26.35  | | | |   (111)   ~ (all_52_11 = e0)
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | | REDUCE: (19), (107) imply:
% 171.71/26.35  | | | |   (112)   ~ (all_52_13 = e0)
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | | REDUCE: (12), (107) imply:
% 171.71/26.35  | | | |   (113)   ~ (all_4_2 = e0)
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | | BETA: splitting (40) gives:
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | | Case 1:
% 171.71/26.35  | | | | | 
% 171.71/26.35  | | | | |   (114)  all_54_7 = e0
% 171.71/26.35  | | | | | 
% 171.71/26.35  | | | | | REF_CLOSE: (53), (95), (114) are inconsistent by sub-proof #714.
% 171.71/26.35  | | | | | 
% 171.71/26.35  | | | | Case 2:
% 171.71/26.35  | | | | | 
% 171.71/26.35  | | | | |   (115)   ~ (all_54_7 = e0)
% 171.71/26.35  | | | | |   (116)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 171.71/26.35  | | | | | 
% 171.71/26.35  | | | | | BETA: splitting (15) gives:
% 171.71/26.35  | | | | | 
% 171.71/26.35  | | | | | Case 1:
% 171.71/26.35  | | | | | | 
% 171.71/26.35  | | | | | |   (117)  all_58_31 = e0
% 171.71/26.35  | | | | | | 
% 171.71/26.35  | | | | | | COMBINE_EQS: (18), (117) imply:
% 171.71/26.35  | | | | | |   (118)  all_14_2 = e0
% 171.71/26.35  | | | | | | 
% 171.71/26.35  | | | | | | REDUCE: (11), (118) imply:
% 171.71/26.35  | | | | | |   (119)  $false
% 171.71/26.35  | | | | | | 
% 171.71/26.35  | | | | | | CLOSE: (119) is inconsistent.
% 171.71/26.35  | | | | | | 
% 171.71/26.35  | | | | | Case 2:
% 171.71/26.35  | | | | | | 
% 171.71/26.35  | | | | | |   (120)   ~ (all_58_31 = e0)
% 171.71/26.35  | | | | | |   (121)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 171.71/26.35  | | | | | | 
% 171.71/26.35  | | | | | | BETA: splitting (4) gives:
% 171.71/26.35  | | | | | | 
% 171.71/26.35  | | | | | | Case 1:
% 171.71/26.35  | | | | | | | 
% 171.71/26.35  | | | | | | |   (122)  all_58_19 = e0
% 171.71/26.35  | | | | | | | 
% 171.71/26.35  | | | | | | | COMBINE_EQS: (34), (122) imply:
% 171.71/26.35  | | | | | | |   (123)  all_52_3 = e0
% 171.71/26.35  | | | | | | | 
% 171.71/26.35  | | | | | | | REDUCE: (84), (123) imply:
% 171.71/26.35  | | | | | | |   (124)  $false
% 171.71/26.35  | | | | | | | 
% 171.71/26.35  | | | | | | | CLOSE: (124) is inconsistent.
% 171.71/26.35  | | | | | | | 
% 171.71/26.35  | | | | | | Case 2:
% 171.71/26.35  | | | | | | | 
% 171.71/26.35  | | | | | | |   (125)   ~ (all_58_19 = e0)
% 171.71/26.35  | | | | | | |   (126)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 171.71/26.35  | | | | | | | 
% 171.71/26.35  | | | | | | | BETA: splitting (29) gives:
% 171.71/26.35  | | | | | | | 
% 171.71/26.35  | | | | | | | Case 1:
% 171.71/26.35  | | | | | | | | 
% 171.71/26.35  | | | | | | | |   (127)  all_58_27 = e0
% 171.71/26.35  | | | | | | | | 
% 171.71/26.35  | | | | | | | | COMBINE_EQS: (31), (127) imply:
% 171.71/26.35  | | | | | | | |   (128)  all_52_11 = e0
% 171.71/26.35  | | | | | | | | 
% 171.71/26.35  | | | | | | | | REDUCE: (111), (128) imply:
% 171.71/26.35  | | | | | | | |   (129)  $false
% 171.71/26.35  | | | | | | | | 
% 171.71/26.35  | | | | | | | | CLOSE: (129) is inconsistent.
% 171.71/26.35  | | | | | | | | 
% 171.71/26.35  | | | | | | | Case 2:
% 171.71/26.35  | | | | | | | | 
% 171.71/26.35  | | | | | | | |   (130)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 171.71/26.35  | | | | | | | | 
% 171.71/26.35  | | | | | | | | BETA: splitting (89) gives:
% 171.71/26.35  | | | | | | | | 
% 171.71/26.35  | | | | | | | | Case 1:
% 171.71/26.35  | | | | | | | | | 
% 171.71/26.35  | | | | | | | | |   (131)  all_56_1 = e1
% 171.71/26.35  | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | COMBINE_EQS: (1), (131) imply:
% 171.71/26.35  | | | | | | | | |   (132)  all_52_4 = e1
% 171.71/26.35  | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | REDUCE: (3), (132) imply:
% 171.71/26.35  | | | | | | | | |   (133)   ~ (all_4_2 = e1)
% 171.71/26.35  | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | SIMP: (133) implies:
% 171.71/26.35  | | | | | | | | |   (134)   ~ (all_4_2 = e1)
% 171.71/26.35  | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | BETA: splitting (92) gives:
% 171.71/26.35  | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | Case 1:
% 171.71/26.35  | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | |   (135)  all_56_1 = e2
% 171.71/26.35  | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | REF_CLOSE: (36), (131), (135) are inconsistent by sub-proof
% 171.71/26.35  | | | | | | | | | |            #724.
% 171.71/26.35  | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | Case 2:
% 171.71/26.35  | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | |   (136)   ~ (all_56_1 = e2)
% 171.71/26.35  | | | | | | | | | |   (137)  all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 171.71/26.35  | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | REDUCE: (131), (136) imply:
% 171.71/26.35  | | | | | | | | | |   (138)   ~ (e2 = e1)
% 171.71/26.35  | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | BETA: splitting (85) gives:
% 171.71/26.35  | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | Case 1:
% 171.71/26.35  | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | |   (139)  all_56_2 = e1
% 171.71/26.35  | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | COMBINE_EQS: (50), (139) imply:
% 171.71/26.35  | | | | | | | | | | |   (140)  all_52_1 = e1
% 171.71/26.35  | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | COMBINE_EQS: (33), (140) imply:
% 171.71/26.35  | | | | | | | | | | |   (141)  all_58_17 = e1
% 171.71/26.35  | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | REDUCE: (60), (140) imply:
% 171.71/26.35  | | | | | | | | | | |   (142)   ~ (all_52_13 = e1)
% 171.71/26.35  | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | SIMP: (142) implies:
% 171.71/26.35  | | | | | | | | | | |   (143)   ~ (all_52_13 = e1)
% 171.71/26.35  | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | REDUCE: (26), (140) imply:
% 171.71/26.35  | | | | | | | | | | |   (144)   ~ (all_6_2 = e1)
% 171.71/26.35  | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | SIMP: (144) implies:
% 171.71/26.35  | | | | | | | | | | |   (145)   ~ (all_6_2 = e1)
% 171.71/26.35  | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | BETA: splitting (126) gives:
% 171.71/26.35  | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | Case 1:
% 171.71/26.35  | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | |   (146)  all_58_18 = e1
% 171.71/26.35  | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | REF_CLOSE: (25), (90), (146) are inconsistent by sub-proof
% 171.71/26.35  | | | | | | | | | | | |            #888.
% 171.71/26.35  | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | Case 2:
% 171.71/26.35  | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | |   (147)  all_58_16 = e3 | all_58_17 = e2
% 171.71/26.35  | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | BETA: splitting (147) gives:
% 171.71/26.35  | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | Case 1:
% 171.71/26.35  | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | |   (148)  all_58_17 = e2
% 171.71/26.35  | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | COMBINE_EQS: (141), (148) imply:
% 171.71/26.35  | | | | | | | | | | | | |   (149)  e2 = e1
% 171.71/26.35  | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | REDUCE: (36), (149) imply:
% 171.71/26.35  | | | | | | | | | | | | |   (150)  $false
% 171.71/26.35  | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | CLOSE: (150) is inconsistent.
% 171.71/26.35  | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | Case 2:
% 171.71/26.35  | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | |   (151)  all_58_16 = e3
% 171.71/26.35  | | | | | | | | | | | | |   (152)   ~ (all_58_17 = e2)
% 171.71/26.35  | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | COMBINE_EQS: (47), (151) imply:
% 171.71/26.35  | | | | | | | | | | | | |   (153)  all_6_2 = e3
% 171.71/26.35  | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | COMBINE_EQS: (28), (153) imply:
% 171.71/26.35  | | | | | | | | | | | | |   (154)  all_56_0 = e3
% 171.71/26.35  | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | REDUCE: (61), (153) imply:
% 171.71/26.35  | | | | | | | | | | | | |   (155)   ~ (all_52_8 = e3)
% 171.71/26.35  | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | REDUCE: (24), (153) imply:
% 171.71/26.35  | | | | | | | | | | | | |   (156)  op(all_6_1, e3) = e0
% 171.71/26.35  | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | REDUCE: (6), (153) imply:
% 171.71/26.35  | | | | | | | | | | | | |   (157)  op(e3, e3) = all_6_1
% 171.71/26.35  | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | REDUCE: (8), (153) imply:
% 171.71/26.35  | | | | | | | | | | | | |   (158)  op(e3, e3) = all_58_0
% 171.71/26.35  | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | REDUCE: (63), (153) imply:
% 171.71/26.35  | | | | | | | | | | | | |   (159)  op(e3, e3) = e3
% 171.71/26.35  | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | BETA: splitting (39) gives:
% 171.71/26.35  | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | Case 1:
% 171.71/26.35  | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | |   (160)  all_56_0 = e2
% 171.71/26.35  | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | COMBINE_EQS: (154), (160) imply:
% 171.71/26.35  | | | | | | | | | | | | | |   (161)  e3 = e2
% 171.71/26.35  | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | REDUCE: (35), (161) imply:
% 171.71/26.35  | | | | | | | | | | | | | |   (162)  $false
% 171.71/26.35  | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | CLOSE: (162) is inconsistent.
% 171.71/26.35  | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | Case 2:
% 171.71/26.35  | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | |   (163)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 171.71/26.35  | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 171.71/26.35  | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | Case 1:
% 171.71/26.35  | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | |   (164)  all_56_1 = e2
% 171.71/26.35  | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | REF_CLOSE: (36), (131), (164) are inconsistent by sub-proof
% 171.71/26.35  | | | | | | | | | | | | | | |            #724.
% 171.71/26.35  | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | Case 2:
% 171.71/26.35  | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | |   (165)  all_56_4 = e2 | all_56_9 = e2
% 171.71/26.35  | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 171.71/26.35  | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | Case 1:
% 171.71/26.35  | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | |   (166)  all_56_4 = e2
% 171.71/26.35  | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | COMBINE_EQS: (58), (166) imply:
% 171.71/26.35  | | | | | | | | | | | | | | | |   (167)  all_52_8 = e2
% 171.71/26.35  | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | SIMP: (167) implies:
% 171.71/26.35  | | | | | | | | | | | | | | | |   (168)  all_52_8 = e2
% 171.71/26.35  | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | COMBINE_EQS: (66), (168) imply:
% 171.71/26.35  | | | | | | | | | | | | | | | |   (169)  all_58_24 = e2
% 171.71/26.35  | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | REDUCE: (57), (168) imply:
% 171.71/26.35  | | | | | | | | | | | | | | | |   (170)   ~ (all_10_2 = e2)
% 171.71/26.35  | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | SIMP: (170) implies:
% 171.71/26.35  | | | | | | | | | | | | | | | |   (171)   ~ (all_10_2 = e2)
% 171.71/26.35  | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | REDUCE: (155), (168) imply:
% 171.71/26.35  | | | | | | | | | | | | | | | |   (172)   ~ (e3 = e2)
% 171.71/26.35  | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | BETA: splitting (130) gives:
% 171.71/26.35  | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | Case 1:
% 171.71/26.35  | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | |   (173)  all_58_26 = e1
% 171.71/26.35  | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | COMBINE_EQS: (16), (173) imply:
% 171.71/26.35  | | | | | | | | | | | | | | | | |   (174)  all_10_2 = e1
% 171.71/26.35  | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | COMBINE_EQS: (14), (174) imply:
% 171.71/26.35  | | | | | | | | | | | | | | | | |   (175)  all_56_8 = e1
% 171.71/26.35  | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | REDUCE: (37), (174) imply:
% 171.71/26.35  | | | | | | | | | | | | | | | | |   (176)   ~ (all_52_6 = e1)
% 171.71/26.35  | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | REDUCE: (71), (174) imply:
% 171.71/26.35  | | | | | | | | | | | | | | | | |   (177)   ~ (all_52_14 = e1)
% 171.71/26.35  | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | BETA: splitting (121) gives:
% 171.71/26.35  | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | Case 1:
% 171.71/26.35  | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | |   (178)  all_58_30 = e1
% 171.71/26.35  | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (30), (178) imply:
% 171.71/26.35  | | | | | | | | | | | | | | | | | |   (179)  all_52_14 = e1
% 171.71/26.35  | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | REDUCE: (177), (179) imply:
% 171.71/26.35  | | | | | | | | | | | | | | | | | |   (180)  $false
% 171.71/26.35  | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | CLOSE: (180) is inconsistent.
% 171.71/26.35  | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | Case 2:
% 171.71/26.35  | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | |   (181)  all_58_28 = e3 | all_58_29 = e2
% 171.71/26.35  | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 171.71/26.35  | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | Case 1:
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | |   (182)  all_58_29 = e2
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (52), (182) imply:
% 171.71/26.35  | | | | | | | | | | | | | | | | | | |   (183)  all_52_13 = e2
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | REDUCE: (13), (183) imply:
% 171.71/26.35  | | | | | | | | | | | | | | | | | | |   (184)   ~ (all_4_2 = e2)
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | SIMP: (184) implies:
% 171.71/26.35  | | | | | | | | | | | | | | | | | | |   (185)   ~ (all_4_2 = e2)
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | BETA: splitting (21) gives:
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | Case 1:
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | |   (186)  all_56_6 = e3
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (64), (186) imply:
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | |   (187)  e3 = e0
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (51), (141), (147), (151), (187) are
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #566.
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | Case 2:
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | |   (188)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | |   (189)  all_56_2 = e3
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (139), (189) are inconsistent by sub-proof
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | |            #196.
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | |   (190)  all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | |   (191)  all_56_3 = e3
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (69), (191) imply:
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | |   (192)  all_4_2 = e3
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (78) with all_6_1, all_58_0, e3, e3,
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | |              simplifying with (157), (158) gives:
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | |   (193)  all_58_0 = all_6_1
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (78) with e3, all_58_0, e3, e3,
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | |              simplifying with (158), (159) gives:
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | |   (194)  all_58_0 = e3
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (193), (194) imply:
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | |   (195)  all_6_1 = e3
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | | SIMP: (195) implies:
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | |   (196)  all_6_1 = e3
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (156), (196) imply:
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | |   (197)  op(e3, e3) = e0
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (27), (35), (65), (69), (78), (86), (88),
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | |            (91), (137), (141), (147), (151), (158), (159),
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | |            (175), (176), (185), (188), (197) are inconsistent
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #344.
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | |   (198)   ~ (all_56_3 = e3)
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (198) imply:
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | |   (199)   ~ (all_4_2 = e3)
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (81), (93), (134), (185), (199) are inconsistent
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #958.
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | End of split
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | End of split
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | End of split
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | Case 2:
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | |   (200)  all_58_28 = e3
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (43), (200) imply:
% 171.71/26.35  | | | | | | | | | | | | | | | | | | |   (201)  e3 = e0
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (51), (141), (147), (151), (201) are
% 171.71/26.35  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #566.
% 171.71/26.35  | | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | | End of split
% 171.71/26.35  | | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | End of split
% 171.71/26.35  | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | Case 2:
% 171.71/26.35  | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | |   (202)  all_58_24 = e3 | all_58_25 = e2
% 171.71/26.35  | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (86), (108), (169), (202) are inconsistent
% 171.71/26.35  | | | | | | | | | | | | | | | | |            by sub-proof #947.
% 171.71/26.35  | | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | End of split
% 171.71/26.35  | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | Case 2:
% 171.71/26.35  | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | |   (203)  all_56_9 = e2
% 171.71/26.35  | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | COMBINE_EQS: (23), (203) imply:
% 171.71/26.35  | | | | | | | | | | | | | | | |   (204)  e2 = e0
% 171.71/26.35  | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | REDUCE: (86), (204) imply:
% 171.71/26.35  | | | | | | | | | | | | | | | |   (205)  $false
% 171.71/26.35  | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | | CLOSE: (205) is inconsistent.
% 171.71/26.35  | | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | | End of split
% 171.71/26.35  | | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | | End of split
% 171.71/26.35  | | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | | End of split
% 171.71/26.35  | | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | End of split
% 171.71/26.35  | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | End of split
% 171.71/26.35  | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | Case 2:
% 171.71/26.35  | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | |   (206)  all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.71/26.35  | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | REF_CLOSE: (30), (36), (43), (46), (51), (52), (69), (83),
% 171.71/26.35  | | | | | | | | | | |            (90), (106), (121), (134), (206) are inconsistent
% 171.71/26.35  | | | | | | | | | | |            by sub-proof #729.
% 171.71/26.35  | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | End of split
% 171.71/26.35  | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | End of split
% 171.71/26.35  | | | | | | | | | 
% 171.71/26.35  | | | | | | | | Case 2:
% 171.71/26.35  | | | | | | | | | 
% 171.71/26.35  | | | | | | | | |   (207)   ~ (all_56_1 = e1)
% 171.71/26.35  | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | REDUCE: (1), (207) imply:
% 171.71/26.35  | | | | | | | | |   (208)   ~ (all_52_4 = e1)
% 171.71/26.35  | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | BETA: splitting (70) gives:
% 171.71/26.35  | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | Case 1:
% 171.71/26.35  | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | |   (209)  all_56_0 = e1
% 171.71/26.35  | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | REF_CLOSE: (1), (2), (3), (7), (9), (10), (11), (16), (17),
% 171.71/26.35  | | | | | | | | | |            (18), (20), (21), (22), (23), (25), (26), (27),
% 171.71/26.35  | | | | | | | | | |            (28), (30), (32), (33), (34), (38), (39), (41),
% 171.71/26.35  | | | | | | | | | |            (43), (44), (45), (46), (47), (49), (51), (52),
% 171.71/26.35  | | | | | | | | | |            (54), (55), (56), (58), (60), (64), (65), (66),
% 171.71/26.35  | | | | | | | | | |            (68), (69), (71), (72), (73), (74), (75), (77),
% 171.71/26.35  | | | | | | | | | |            (79), (80), (81), (82), (83), (84), (87), (88),
% 171.71/26.35  | | | | | | | | | |            (89), (91), (93), (94), (95), (96), (108), (116),
% 171.71/26.35  | | | | | | | | | |            (121), (126), (130), (209) are inconsistent by
% 171.71/26.35  | | | | | | | | | |            sub-proof #363.
% 171.71/26.35  | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | Case 2:
% 171.71/26.35  | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | |   (210)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 171.71/26.35  | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | BETA: splitting (210) gives:
% 171.71/26.35  | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | Case 1:
% 171.71/26.35  | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | |   (211)  all_56_1 = e1
% 171.71/26.35  | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | COMBINE_EQS: (1), (211) imply:
% 171.71/26.35  | | | | | | | | | | |   (212)  all_52_4 = e1
% 171.71/26.35  | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | REDUCE: (208), (212) imply:
% 171.71/26.35  | | | | | | | | | | |   (213)  $false
% 171.71/26.35  | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | CLOSE: (213) is inconsistent.
% 171.71/26.35  | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | Case 2:
% 171.71/26.35  | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | |   (214)  all_56_4 = e1 | all_56_9 = e1
% 171.71/26.35  | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | BETA: splitting (214) gives:
% 171.71/26.35  | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | Case 1:
% 171.71/26.35  | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | |   (215)  all_56_4 = e1
% 171.71/26.35  | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | REF_CLOSE: (2), (16), (57), (58), (66), (86), (108), (130),
% 171.71/26.35  | | | | | | | | | | | |            (215) are inconsistent by sub-proof #965.
% 171.71/26.35  | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | Case 2:
% 171.71/26.35  | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | |   (216)  all_56_9 = e1
% 171.71/26.35  | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | COMBINE_EQS: (23), (216) imply:
% 171.71/26.35  | | | | | | | | | | | |   (217)  e1 = e0
% 171.71/26.35  | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | REDUCE: (90), (217) imply:
% 171.71/26.35  | | | | | | | | | | | |   (218)  $false
% 171.71/26.35  | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | | CLOSE: (218) is inconsistent.
% 171.71/26.35  | | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | | End of split
% 171.71/26.35  | | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | | End of split
% 171.71/26.35  | | | | | | | | | | 
% 171.71/26.35  | | | | | | | | | End of split
% 171.71/26.35  | | | | | | | | | 
% 171.71/26.35  | | | | | | | | End of split
% 171.71/26.35  | | | | | | | | 
% 171.71/26.35  | | | | | | | End of split
% 171.71/26.35  | | | | | | | 
% 171.71/26.35  | | | | | | End of split
% 171.71/26.35  | | | | | | 
% 171.71/26.35  | | | | | End of split
% 171.71/26.35  | | | | | 
% 171.71/26.35  | | | | End of split
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | Case 2:
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | |   (219)  all_56_10 = e0
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | | REF_CLOSE: (53), (83), (219) are inconsistent by sub-proof #943.
% 171.71/26.35  | | | | 
% 171.71/26.35  | | | End of split
% 171.71/26.35  | | | 
% 171.71/26.35  | | End of split
% 171.71/26.35  | | 
% 171.71/26.35  | End of split
% 171.71/26.35  | 
% 171.71/26.35  End of proof
% 171.71/26.35  
% 171.71/26.35  Sub-proof #196 shows that the following formulas are inconsistent:
% 171.71/26.35  ----------------------------------------------------------------
% 171.71/26.35    (1)  all_56_2 = e3
% 171.71/26.35    (2)  all_56_2 = e1
% 171.71/26.35    (3)   ~ (e3 = e1)
% 171.71/26.35  
% 171.71/26.35  Begin of proof
% 171.71/26.35  | 
% 171.71/26.35  | COMBINE_EQS: (1), (2) imply:
% 171.71/26.35  |   (4)  e3 = e1
% 171.71/26.35  | 
% 171.71/26.35  | SIMP: (4) implies:
% 171.71/26.35  |   (5)  e3 = e1
% 171.71/26.35  | 
% 171.71/26.35  | REDUCE: (3), (5) imply:
% 171.71/26.35  |   (6)  $false
% 171.71/26.35  | 
% 171.71/26.35  | CLOSE: (6) is inconsistent.
% 171.71/26.35  | 
% 171.71/26.35  End of proof
% 171.71/26.35  
% 171.71/26.35  Sub-proof #197 shows that the following formulas are inconsistent:
% 171.71/26.35  ----------------------------------------------------------------
% 171.71/26.35    (1)  all_56_1 = all_52_4
% 171.71/26.35    (2)  all_56_12 = all_52_3
% 171.71/26.35    (3)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.71/26.35    (4)   ~ (all_52_8 = all_52_12)
% 171.71/26.36    (5)   ~ (e3 = e1)
% 171.71/26.36    (6)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.71/26.36    (7)   ~ (all_52_12 = all_6_2)
% 171.71/26.36    (8)  op(e2, e0) = all_52_13
% 171.71/26.36    (9)  op(e3, all_52_4) = all_58_1
% 171.71/26.36    (10)  all_54_1 = all_52_4
% 171.71/26.36    (11)  op(all_10_2, e1) = all_10_1
% 171.71/26.36    (12)  op(e1, all_10_2) = all_58_10
% 171.71/26.36    (13)  op(e1, e1) = all_10_2
% 171.71/26.36    (14)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.71/26.36    (15)  op(e0, all_52_3) = all_58_12
% 171.71/26.36    (16)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.71/26.36    (17)  all_58_26 = all_10_2
% 171.71/26.36    (18)   ~ (all_52_4 = all_52_6)
% 171.71/26.36    (19)  all_58_31 = all_14_2
% 171.71/26.36    (20)   ~ (all_52_9 = all_52_13)
% 171.71/26.36    (21)   ~ (all_52_3 = all_6_2)
% 171.71/26.36    (22)  all_58_18 = e0
% 171.71/26.36    (23)   ~ (all_52_1 = all_6_2)
% 171.71/26.36    (24)  all_56_11 = all_52_14
% 171.71/26.36    (25)  all_56_0 = all_6_2
% 171.71/26.36    (26)   ~ (all_52_9 = all_10_2)
% 171.71/26.36    (27)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.71/26.36    (28)  all_58_30 = all_52_14
% 171.71/26.36    (29)  all_58_27 = all_52_11
% 171.71/26.36    (30)  op(e3, e2) = all_52_4
% 171.71/26.36    (31)  all_58_17 = all_52_1
% 171.71/26.36    (32)  op(e3, e1) = all_52_8
% 171.71/26.36    (33)  all_58_19 = all_52_3
% 171.71/26.36    (34)  all_56_9 = all_52_12
% 171.71/26.36    (35)   ~ (e3 = e2)
% 171.71/26.36    (36)   ~ (all_52_6 = all_10_2)
% 171.71/26.36    (37)   ~ (all_52_13 = all_14_2)
% 171.71/26.36    (38)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.71/26.36    (39)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.71/26.36    (40)  all_54_9 = all_52_6
% 171.71/26.36    (41)   ~ (all_52_13 = all_52_14)
% 171.71/26.36    (42)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.71/26.36    (43)  all_58_16 = all_6_2
% 171.71/26.36    (44)  op(e0, e3) = all_52_3
% 171.71/26.36    (45)   ~ (all_52_4 = all_6_2)
% 171.71/26.36    (46)  all_56_2 = all_52_1
% 171.71/26.36    (47)   ~ (e3 = e0)
% 171.71/26.36    (48)  all_58_29 = all_52_13
% 171.71/26.36    (49)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 171.71/26.36    (50)   ~ (all_52_6 = all_52_14)
% 171.71/26.36    (51)   ~ (all_52_8 = all_10_2)
% 171.71/26.36    (52)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 171.71/26.36    (53)   ~ (all_52_1 = all_52_13)
% 171.71/26.36    (54)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 171.71/26.36    (55)  all_54_10 = all_10_2
% 171.71/26.36    (56)   ~ (all_52_8 = all_52_11)
% 171.71/26.36    (57)   ~ (all_52_8 = all_6_2)
% 171.71/26.36    (58)   ~ (all_52_1 = all_52_9)
% 171.71/26.36    (59)  all_56_6 = e0
% 171.71/26.36    (60)  all_58_24 = all_52_8
% 171.71/26.36    (61)   ~ (all_52_4 = all_52_12)
% 171.71/26.36    (62)  all_54_0 = all_6_2
% 171.71/26.36    (63)   ~ (all_52_14 = all_10_2)
% 171.71/26.36    (64)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 171.71/26.36    (65)   ~ (all_52_4 = all_52_8)
% 171.71/26.36    (66)  all_58_25 = all_52_9
% 171.71/26.36    (67)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.71/26.36    (68)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.36            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.36    (69)   ~ (all_52_6 = e0)
% 171.71/26.36    (70)  all_54_12 = all_52_3
% 171.71/26.36    (71)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 171.71/26.36    (72)  all_56_10 = all_52_13
% 171.71/26.36    (73)   ~ (all_52_3 = e0)
% 171.71/26.36    (74)   ~ (e2 = e0)
% 171.71/26.36    (75)   ~ (all_52_1 = all_52_3)
% 171.71/26.36    (76)   ~ (all_52_14 = e0)
% 171.71/26.36    (77)  all_58_28 = all_52_12
% 171.71/26.36    (78)   ~ (e1 = e0)
% 171.71/26.36    (79)  all_56_7 = all_52_6
% 171.71/26.36    (80)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 171.71/26.36            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 171.71/26.36            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 171.71/26.36            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 171.71/26.36            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 171.71/26.36            (all_58_15 = e0))
% 171.71/26.36    (81)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 171.71/26.36    (82)  all_52_8 = e0
% 171.71/26.36    (83)  op(e2, all_52_13) = all_58_7
% 171.71/26.36    (84)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 171.71/26.36    (85)   ~ (all_10_1 = e0)
% 171.71/26.36    (86)   ~ (all_52_12 = all_52_13)
% 171.71/26.36  
% 171.71/26.36  Begin of proof
% 171.71/26.36  | 
% 171.71/26.36  | COMBINE_EQS: (60), (82) imply:
% 171.71/26.36  |   (87)  all_58_24 = e0
% 171.71/26.36  | 
% 171.71/26.36  | REDUCE: (65), (82) imply:
% 171.71/26.36  |   (88)   ~ (all_52_4 = e0)
% 171.71/26.36  | 
% 171.71/26.36  | REDUCE: (56), (82) imply:
% 171.71/26.36  |   (89)   ~ (all_52_11 = e0)
% 171.71/26.36  | 
% 171.71/26.36  | SIMP: (89) implies:
% 171.71/26.36  |   (90)   ~ (all_52_11 = e0)
% 171.71/26.36  | 
% 171.71/26.36  | REDUCE: (4), (82) imply:
% 171.71/26.36  |   (91)   ~ (all_52_12 = e0)
% 171.71/26.36  | 
% 171.71/26.36  | SIMP: (91) implies:
% 171.71/26.36  |   (92)   ~ (all_52_12 = e0)
% 171.71/26.36  | 
% 171.71/26.36  | REDUCE: (51), (82) imply:
% 171.71/26.36  |   (93)   ~ (all_10_2 = e0)
% 171.71/26.36  | 
% 171.71/26.36  | SIMP: (93) implies:
% 171.71/26.36  |   (94)   ~ (all_10_2 = e0)
% 171.71/26.36  | 
% 171.71/26.36  | REDUCE: (57), (82) imply:
% 171.71/26.36  |   (95)   ~ (all_6_2 = e0)
% 171.71/26.36  | 
% 171.71/26.36  | SIMP: (95) implies:
% 171.71/26.36  |   (96)   ~ (all_6_2 = e0)
% 171.71/26.36  | 
% 171.71/26.36  | REDUCE: (32), (82) imply:
% 171.71/26.36  |   (97)  op(e3, e1) = e0
% 171.71/26.36  | 
% 171.71/26.36  | BETA: splitting (71) gives:
% 171.71/26.36  | 
% 171.71/26.36  | Case 1:
% 171.71/26.36  | | 
% 171.71/26.36  | |   (98)  all_56_9 = e0
% 171.71/26.36  | | 
% 171.71/26.36  | | REF_CLOSE: (34), (92), (98) are inconsistent by sub-proof #908.
% 171.71/26.36  | | 
% 171.71/26.36  | Case 2:
% 171.71/26.36  | | 
% 171.71/26.36  | |   (99)  all_56_10 = e0 | all_56_11 = e0
% 171.71/26.36  | | 
% 171.71/26.36  | | BETA: splitting (99) gives:
% 171.71/26.36  | | 
% 171.71/26.36  | | Case 1:
% 171.71/26.36  | | | 
% 171.71/26.36  | | |   (100)  all_56_10 = e0
% 171.71/26.36  | | | 
% 171.71/26.36  | | | COMBINE_EQS: (72), (100) imply:
% 171.71/26.36  | | |   (101)  all_52_13 = e0
% 171.71/26.36  | | | 
% 171.71/26.36  | | | SIMP: (101) implies:
% 171.71/26.36  | | |   (102)  all_52_13 = e0
% 171.71/26.36  | | | 
% 171.71/26.36  | | | COMBINE_EQS: (48), (102) imply:
% 171.71/26.36  | | |   (103)  all_58_29 = e0
% 171.71/26.36  | | | 
% 171.71/26.36  | | | REDUCE: (53), (102) imply:
% 171.71/26.36  | | |   (104)   ~ (all_52_1 = e0)
% 171.71/26.36  | | | 
% 171.71/26.36  | | | REDUCE: (20), (102) imply:
% 171.71/26.36  | | |   (105)   ~ (all_52_9 = e0)
% 171.71/26.36  | | | 
% 171.71/26.36  | | | REDUCE: (41), (102) imply:
% 171.71/26.36  | | |   (106)   ~ (all_52_14 = e0)
% 171.71/26.36  | | | 
% 171.71/26.36  | | | REDUCE: (37), (102) imply:
% 171.71/26.36  | | |   (107)   ~ (all_14_2 = e0)
% 171.71/26.36  | | | 
% 171.71/26.36  | | | SIMP: (107) implies:
% 171.71/26.36  | | |   (108)   ~ (all_14_2 = e0)
% 171.71/26.36  | | | 
% 171.71/26.36  | | | REDUCE: (83), (102) imply:
% 171.71/26.36  | | |   (109)  op(e2, e0) = all_58_7
% 171.71/26.36  | | | 
% 171.71/26.36  | | | REDUCE: (8), (102) imply:
% 171.71/26.36  | | |   (110)  op(e2, e0) = e0
% 171.71/26.36  | | | 
% 171.71/26.36  | | | GROUND_INST: instantiating (68) with e0, all_58_7, e0, e2, simplifying
% 171.71/26.36  | | |              with (109), (110) gives:
% 171.71/26.36  | | |   (111)  all_58_7 = e0
% 171.71/26.36  | | | 
% 171.71/26.36  | | | BETA: splitting (39) gives:
% 171.71/26.36  | | | 
% 171.71/26.36  | | | Case 1:
% 171.71/26.36  | | | | 
% 171.71/26.36  | | | |   (112)  all_54_1 = e0
% 171.71/26.36  | | | | 
% 171.71/26.36  | | | | REF_CLOSE: (10), (88), (112) are inconsistent by sub-proof #866.
% 171.71/26.36  | | | | 
% 171.71/26.36  | | | Case 2:
% 171.71/26.36  | | | | 
% 171.71/26.36  | | | |   (113)   ~ (all_54_1 = e0)
% 171.71/26.36  | | | |   (114)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 171.71/26.36  | | | | 
% 171.71/26.36  | | | | BETA: splitting (3) gives:
% 171.71/26.36  | | | | 
% 171.71/26.36  | | | | Case 1:
% 171.71/26.36  | | | | | 
% 171.71/26.36  | | | | |   (115)  all_54_0 = e0
% 171.71/26.36  | | | | | 
% 171.71/26.36  | | | | | REF_CLOSE: (62), (96), (115) are inconsistent by sub-proof #984.
% 171.71/26.36  | | | | | 
% 171.71/26.36  | | | | Case 2:
% 171.71/26.36  | | | | | 
% 171.71/26.36  | | | | |   (116)   ~ (all_54_0 = e0)
% 171.71/26.36  | | | | |   (117)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 171.71/26.36  | | | | | 
% 171.71/26.36  | | | | | REF_CLOSE: (1), (2), (5), (6), (7), (9), (10), (11), (12), (13), (14),
% 171.71/26.36  | | | | |            (15), (16), (17), (18), (19), (21), (22), (23), (25), (26),
% 171.71/26.36  | | | | |            (27), (28), (29), (30), (31), (33), (35), (36), (38), (39),
% 171.71/26.36  | | | | |            (40), (42), (43), (44), (45), (46), (47), (49), (50), (52),
% 171.71/26.36  | | | | |            (54), (55), (58), (59), (61), (62), (63), (64), (66), (67),
% 171.71/26.36  | | | | |            (68), (69), (70), (73), (74), (75), (76), (77), (78), (79),
% 171.71/26.36  | | | | |            (80), (81), (84), (85), (87), (88), (90), (92), (94), (96),
% 171.71/26.36  | | | | |            (97), (103), (104), (105), (108), (111), (114), (117) are
% 171.71/26.36  | | | | |            inconsistent by sub-proof #198.
% 171.71/26.36  | | | | | 
% 171.71/26.36  | | | | End of split
% 171.71/26.36  | | | | 
% 171.71/26.36  | | | End of split
% 171.71/26.36  | | | 
% 171.71/26.36  | | Case 2:
% 171.71/26.36  | | | 
% 171.71/26.36  | | |   (118)  all_56_11 = e0
% 171.71/26.36  | | | 
% 171.71/26.36  | | | REF_CLOSE: (24), (76), (118) are inconsistent by sub-proof #873.
% 171.71/26.36  | | | 
% 171.71/26.36  | | End of split
% 171.71/26.36  | | 
% 171.71/26.36  | End of split
% 171.71/26.36  | 
% 171.71/26.36  End of proof
% 171.71/26.36  
% 171.71/26.36  Sub-proof #198 shows that the following formulas are inconsistent:
% 171.71/26.36  ----------------------------------------------------------------
% 171.71/26.36    (1)  all_56_1 = all_52_4
% 171.71/26.36    (2)  all_56_12 = all_52_3
% 171.71/26.36    (3)   ~ (all_10_2 = e0)
% 171.71/26.36    (4)   ~ (e3 = e1)
% 171.71/26.36    (5)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.71/26.36    (6)   ~ (all_52_12 = all_6_2)
% 171.71/26.36    (7)  op(e3, all_52_4) = all_58_1
% 171.71/26.36    (8)  all_54_1 = all_52_4
% 171.71/26.36    (9)  op(all_10_2, e1) = all_10_1
% 171.71/26.36    (10)   ~ (all_14_2 = e0)
% 171.71/26.36    (11)  op(e1, all_10_2) = all_58_10
% 171.71/26.36    (12)  op(e1, e1) = all_10_2
% 171.71/26.36    (13)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.71/26.36    (14)  op(e0, all_52_3) = all_58_12
% 171.71/26.36    (15)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.71/26.36    (16)   ~ (all_52_9 = e0)
% 171.71/26.36    (17)  all_58_26 = all_10_2
% 171.71/26.36    (18)   ~ (all_52_4 = all_52_6)
% 171.71/26.36    (19)  all_58_31 = all_14_2
% 171.71/26.36    (20)   ~ (all_52_3 = all_6_2)
% 171.71/26.36    (21)   ~ (all_52_4 = e0)
% 171.71/26.36    (22)  all_58_18 = e0
% 171.71/26.36    (23)   ~ (all_52_1 = all_6_2)
% 171.71/26.36    (24)  all_56_0 = all_6_2
% 171.71/26.36    (25)   ~ (all_52_9 = all_10_2)
% 171.71/26.36    (26)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.71/26.36    (27)  all_58_30 = all_52_14
% 171.71/26.36    (28)  all_58_27 = all_52_11
% 171.71/26.36    (29)  op(e3, e2) = all_52_4
% 171.71/26.36    (30)  all_58_17 = all_52_1
% 171.71/26.36    (31)  all_58_19 = all_52_3
% 171.71/26.36    (32)   ~ (e3 = e2)
% 171.71/26.36    (33)   ~ (all_52_6 = all_10_2)
% 171.71/26.36    (34)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 171.71/26.36    (35)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.71/26.36    (36)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.71/26.36    (37)  all_54_9 = all_52_6
% 171.71/26.36    (38)  all_58_7 = e0
% 171.71/26.36    (39)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.71/26.36    (40)  all_58_16 = all_6_2
% 171.71/26.36    (41)  op(e0, e3) = all_52_3
% 171.71/26.36    (42)   ~ (all_52_12 = e0)
% 171.71/26.36    (43)   ~ (all_52_4 = all_6_2)
% 171.71/26.36    (44)  all_56_2 = all_52_1
% 171.71/26.36    (45)   ~ (e3 = e0)
% 171.71/26.36    (46)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 171.71/26.36    (47)   ~ (all_6_2 = e0)
% 171.71/26.36    (48)   ~ (all_52_6 = all_52_14)
% 171.71/26.36    (49)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 171.71/26.36    (50)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 171.71/26.36    (51)  all_54_10 = all_10_2
% 171.71/26.36    (52)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 171.71/26.36    (53)  op(e3, e1) = e0
% 171.71/26.36    (54)   ~ (all_52_1 = all_52_9)
% 171.71/26.36    (55)  all_56_6 = e0
% 171.71/26.36    (56)   ~ (all_52_4 = all_52_12)
% 171.71/26.36    (57)  all_54_0 = all_6_2
% 171.71/26.36    (58)  all_58_29 = e0
% 171.71/26.36    (59)   ~ (all_52_14 = all_10_2)
% 171.71/26.36    (60)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 171.71/26.36    (61)  all_58_24 = e0
% 171.71/26.36    (62)   ~ (all_52_11 = e0)
% 171.71/26.36    (63)   ~ (all_52_1 = e0)
% 171.71/26.36    (64)  all_58_25 = all_52_9
% 171.71/26.36    (65)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.71/26.36    (66)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.36            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.36    (67)   ~ (all_52_6 = e0)
% 171.71/26.36    (68)  all_54_12 = all_52_3
% 171.71/26.36    (69)   ~ (all_52_3 = e0)
% 171.71/26.36    (70)   ~ (e2 = e0)
% 171.71/26.36    (71)   ~ (all_52_1 = all_52_3)
% 171.71/26.36    (72)   ~ (all_52_14 = e0)
% 171.71/26.36    (73)  all_58_28 = all_52_12
% 171.71/26.36    (74)   ~ (e1 = e0)
% 171.71/26.36    (75)  all_56_7 = all_52_6
% 171.71/26.36    (76)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 171.71/26.36            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 171.71/26.36            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 171.71/26.36            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 171.71/26.36            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 171.71/26.36            (all_58_15 = e0))
% 171.71/26.36    (77)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 171.71/26.36    (78)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 171.71/26.36    (79)   ~ (all_10_1 = e0)
% 171.71/26.36  
% 171.71/26.36  Begin of proof
% 171.71/26.36  | 
% 171.71/26.36  | BETA: splitting (65) gives:
% 171.71/26.36  | 
% 171.71/26.36  | Case 1:
% 171.71/26.36  | | 
% 171.71/26.36  | |   (80)  all_54_9 = e0
% 171.71/26.36  | | 
% 171.71/26.36  | | REF_CLOSE: (37), (67), (80) are inconsistent by sub-proof #903.
% 171.71/26.36  | | 
% 171.71/26.36  | Case 2:
% 171.71/26.36  | | 
% 171.71/26.36  | |   (81)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 171.71/26.36  | | 
% 171.71/26.36  | | BETA: splitting (5) gives:
% 171.71/26.36  | | 
% 171.71/26.36  | | Case 1:
% 171.71/26.36  | | | 
% 171.71/26.36  | | |   (82)  all_58_19 = e0
% 171.71/26.36  | | | 
% 171.71/26.36  | | | COMBINE_EQS: (31), (82) imply:
% 171.71/26.36  | | |   (83)  all_52_3 = e0
% 171.71/26.36  | | | 
% 171.71/26.36  | | | REDUCE: (69), (83) imply:
% 171.71/26.36  | | |   (84)  $false
% 171.71/26.36  | | | 
% 171.71/26.36  | | | CLOSE: (84) is inconsistent.
% 171.71/26.36  | | | 
% 171.71/26.36  | | Case 2:
% 171.71/26.36  | | | 
% 171.71/26.36  | | |   (85)   ~ (all_58_19 = e0)
% 171.71/26.36  | | |   (86)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 171.71/26.36  | | | 
% 171.71/26.36  | | | BETA: splitting (26) gives:
% 171.71/26.36  | | | 
% 171.71/26.36  | | | Case 1:
% 171.71/26.36  | | | | 
% 171.71/26.36  | | | |   (87)  all_58_27 = e0
% 171.71/26.36  | | | | 
% 171.71/26.36  | | | | COMBINE_EQS: (28), (87) imply:
% 171.71/26.36  | | | |   (88)  all_52_11 = e0
% 171.71/26.36  | | | | 
% 171.71/26.36  | | | | REDUCE: (62), (88) imply:
% 171.71/26.36  | | | |   (89)  $false
% 171.71/26.36  | | | | 
% 171.71/26.36  | | | | CLOSE: (89) is inconsistent.
% 171.71/26.36  | | | | 
% 171.71/26.36  | | | Case 2:
% 171.71/26.36  | | | | 
% 171.71/26.36  | | | |   (90)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 171.71/26.36  | | | | 
% 171.71/26.36  | | | | BETA: splitting (15) gives:
% 171.71/26.36  | | | | 
% 171.71/26.36  | | | | Case 1:
% 171.71/26.36  | | | | | 
% 171.71/26.36  | | | | |   (91)  all_58_31 = e0
% 171.71/26.36  | | | | | 
% 171.71/26.36  | | | | | COMBINE_EQS: (19), (91) imply:
% 171.71/26.36  | | | | |   (92)  all_14_2 = e0
% 171.71/26.36  | | | | | 
% 171.71/26.36  | | | | | REDUCE: (10), (92) imply:
% 171.71/26.36  | | | | |   (93)  $false
% 171.71/26.36  | | | | | 
% 171.71/26.36  | | | | | CLOSE: (93) is inconsistent.
% 171.71/26.36  | | | | | 
% 171.71/26.36  | | | | Case 2:
% 171.71/26.36  | | | | | 
% 171.71/26.36  | | | | |   (94)   ~ (all_58_31 = e0)
% 171.71/26.36  | | | | |   (95)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 171.71/26.36  | | | | | 
% 171.71/26.36  | | | | | BETA: splitting (78) gives:
% 171.71/26.36  | | | | | 
% 171.71/26.36  | | | | | Case 1:
% 171.71/26.36  | | | | | | 
% 171.71/26.36  | | | | | |   (96)  all_56_12 = e2
% 171.71/26.36  | | | | | | 
% 171.71/26.36  | | | | | | COMBINE_EQS: (2), (96) imply:
% 171.71/26.36  | | | | | |   (97)  all_52_3 = e2
% 171.71/26.36  | | | | | | 
% 171.71/26.36  | | | | | | SIMP: (97) implies:
% 171.71/26.36  | | | | | |   (98)  all_52_3 = e2
% 171.71/26.36  | | | | | | 
% 171.71/26.36  | | | | | | REDUCE: (71), (98) imply:
% 171.71/26.36  | | | | | |   (99)   ~ (all_52_1 = e2)
% 171.71/26.36  | | | | | | 
% 171.71/26.36  | | | | | | BETA: splitting (86) gives:
% 171.71/26.36  | | | | | | 
% 171.71/26.36  | | | | | | Case 1:
% 171.71/26.36  | | | | | | | 
% 171.71/26.36  | | | | | | |   (100)  all_58_18 = e1
% 171.71/26.36  | | | | | | | 
% 171.71/26.36  | | | | | | | COMBINE_EQS: (22), (100) imply:
% 171.71/26.36  | | | | | | |   (101)  e1 = e0
% 171.71/26.36  | | | | | | | 
% 171.71/26.36  | | | | | | | REDUCE: (74), (101) imply:
% 171.71/26.36  | | | | | | |   (102)  $false
% 171.71/26.36  | | | | | | | 
% 171.71/26.36  | | | | | | | CLOSE: (102) is inconsistent.
% 171.71/26.36  | | | | | | | 
% 171.71/26.36  | | | | | | Case 2:
% 171.71/26.36  | | | | | | | 
% 171.71/26.36  | | | | | | |   (103)  all_58_16 = e3 | all_58_17 = e2
% 171.71/26.36  | | | | | | | 
% 171.71/26.36  | | | | | | | BETA: splitting (103) gives:
% 171.71/26.36  | | | | | | | 
% 171.71/26.36  | | | | | | | Case 1:
% 171.71/26.36  | | | | | | | | 
% 171.71/26.36  | | | | | | | |   (104)  all_58_17 = e2
% 171.71/26.36  | | | | | | | | 
% 171.71/26.36  | | | | | | | | COMBINE_EQS: (30), (104) imply:
% 171.71/26.36  | | | | | | | |   (105)  all_52_1 = e2
% 171.71/26.36  | | | | | | | | 
% 171.71/26.36  | | | | | | | | REDUCE: (99), (105) imply:
% 171.71/26.36  | | | | | | | |   (106)  $false
% 171.71/26.36  | | | | | | | | 
% 171.71/26.36  | | | | | | | | CLOSE: (106) is inconsistent.
% 171.71/26.36  | | | | | | | | 
% 171.71/26.36  | | | | | | | Case 2:
% 171.71/26.36  | | | | | | | | 
% 171.71/26.36  | | | | | | | |   (107)  all_58_16 = e3
% 171.71/26.36  | | | | | | | | 
% 171.71/26.36  | | | | | | | | COMBINE_EQS: (40), (107) imply:
% 171.71/26.36  | | | | | | | |   (108)  all_6_2 = e3
% 171.71/26.36  | | | | | | | | 
% 171.71/26.36  | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (10), (15), (16), (17),
% 171.71/26.36  | | | | | | | |            (18), (19), (21), (22), (25), (27), (30), (31), (33),
% 171.71/26.36  | | | | | | | |            (36), (37), (40), (43), (46), (47), (48), (50), (51),
% 171.71/26.36  | | | | | | | |            (53), (54), (55), (58), (59), (61), (64), (66), (69),
% 171.71/26.36  | | | | | | | |            (70), (72), (73), (75), (79), (81), (90), (95), (108)
% 171.71/26.36  | | | | | | | |            are inconsistent by sub-proof #397.
% 171.71/26.36  | | | | | | | | 
% 171.71/26.36  | | | | | | | End of split
% 171.71/26.36  | | | | | | | 
% 171.71/26.36  | | | | | | End of split
% 171.71/26.36  | | | | | | 
% 171.71/26.36  | | | | | Case 2:
% 171.71/26.36  | | | | | | 
% 171.71/26.36  | | | | | |   (109)   ~ (all_56_12 = e2)
% 171.71/26.36  | | | | | | 
% 171.71/26.36  | | | | | | REDUCE: (2), (109) imply:
% 171.71/26.36  | | | | | |   (110)   ~ (all_52_3 = e2)
% 171.71/26.36  | | | | | | 
% 171.71/26.36  | | | | | | BETA: splitting (39) gives:
% 171.71/26.36  | | | | | | 
% 171.71/26.36  | | | | | | Case 1:
% 171.71/26.36  | | | | | | | 
% 171.71/26.36  | | | | | | |   (111)  all_56_0 = e2
% 171.71/26.36  | | | | | | | 
% 171.71/26.36  | | | | | | | REF_CLOSE: (5), (22), (23), (24), (30), (31), (32), (40), (69),
% 171.71/26.36  | | | | | | |            (74), (111) are inconsistent by sub-proof #907.
% 171.71/26.36  | | | | | | | 
% 171.71/26.36  | | | | | | Case 2:
% 171.71/26.36  | | | | | | | 
% 171.71/26.36  | | | | | | |   (112)  all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.71/26.36  | | | | | | | 
% 171.71/26.36  | | | | | | | BETA: splitting (112) gives:
% 171.71/26.36  | | | | | | | 
% 171.71/26.36  | | | | | | | Case 1:
% 171.71/26.36  | | | | | | | | 
% 171.71/26.36  | | | | | | | |   (113)  all_56_2 = e2
% 171.71/26.36  | | | | | | | | 
% 171.71/26.36  | | | | | | | | COMBINE_EQS: (44), (113) imply:
% 171.71/26.36  | | | | | | | |   (114)  all_52_1 = e2
% 171.71/26.36  | | | | | | | | 
% 171.71/26.36  | | | | | | | | REDUCE: (54), (114) imply:
% 171.71/26.36  | | | | | | | |   (115)   ~ (all_52_9 = e2)
% 171.71/26.36  | | | | | | | | 
% 171.71/26.36  | | | | | | | | SIMP: (115) implies:
% 171.71/26.36  | | | | | | | |   (116)   ~ (all_52_9 = e2)
% 171.71/26.36  | | | | | | | | 
% 171.71/26.36  | | | | | | | | REDUCE: (23), (114) imply:
% 171.71/26.36  | | | | | | | |   (117)   ~ (all_6_2 = e2)
% 171.71/26.36  | | | | | | | | 
% 171.71/26.36  | | | | | | | | SIMP: (117) implies:
% 171.71/26.36  | | | | | | | |   (118)   ~ (all_6_2 = e2)
% 171.71/26.36  | | | | | | | | 
% 171.71/26.36  | | | | | | | | BETA: splitting (90) gives:
% 171.71/26.36  | | | | | | | | 
% 171.71/26.36  | | | | | | | | Case 1:
% 171.71/26.36  | | | | | | | | | 
% 171.71/26.36  | | | | | | | | |   (119)  all_58_26 = e1
% 171.71/26.36  | | | | | | | | | 
% 171.71/26.36  | | | | | | | | | COMBINE_EQS: (17), (119) imply:
% 171.71/26.36  | | | | | | | | |   (120)  all_10_2 = e1
% 171.71/26.36  | | | | | | | | | 
% 171.71/26.36  | | | | | | | | | SIMP: (120) implies:
% 171.71/26.36  | | | | | | | | |   (121)  all_10_2 = e1
% 171.71/26.36  | | | | | | | | | 
% 171.71/26.36  | | | | | | | | | REDUCE: (59), (121) imply:
% 171.71/26.36  | | | | | | | | |   (122)   ~ (all_52_14 = e1)
% 171.71/26.36  | | | | | | | | | 
% 171.71/26.36  | | | | | | | | | REDUCE: (11), (121) imply:
% 171.71/26.36  | | | | | | | | |   (123)  op(e1, e1) = all_58_10
% 171.71/26.36  | | | | | | | | | 
% 171.71/26.36  | | | | | | | | | REDUCE: (12), (121) imply:
% 171.71/26.36  | | | | | | | | |   (124)  op(e1, e1) = e1
% 171.71/26.36  | | | | | | | | | 
% 171.71/26.36  | | | | | | | | | BETA: splitting (95) gives:
% 171.71/26.36  | | | | | | | | | 
% 171.71/26.36  | | | | | | | | | Case 1:
% 171.71/26.36  | | | | | | | | | | 
% 171.71/26.36  | | | | | | | | | |   (125)  all_58_30 = e1
% 171.71/26.36  | | | | | | | | | | 
% 171.71/26.36  | | | | | | | | | | COMBINE_EQS: (27), (125) imply:
% 171.71/26.36  | | | | | | | | | |   (126)  all_52_14 = e1
% 171.71/26.36  | | | | | | | | | | 
% 171.71/26.36  | | | | | | | | | | REDUCE: (122), (126) imply:
% 171.71/26.36  | | | | | | | | | |   (127)  $false
% 171.71/26.36  | | | | | | | | | | 
% 171.71/26.36  | | | | | | | | | | CLOSE: (127) is inconsistent.
% 171.71/26.36  | | | | | | | | | | 
% 171.71/26.36  | | | | | | | | | Case 2:
% 171.71/26.36  | | | | | | | | | | 
% 171.71/26.36  | | | | | | | | | |   (128)  all_58_28 = e3 | all_58_29 = e2
% 171.71/26.36  | | | | | | | | | | 
% 171.71/26.36  | | | | | | | | | | BETA: splitting (128) gives:
% 171.71/26.36  | | | | | | | | | | 
% 171.71/26.36  | | | | | | | | | | Case 1:
% 171.71/26.36  | | | | | | | | | | | 
% 171.71/26.36  | | | | | | | | | | |   (129)  all_58_29 = e2
% 171.71/26.36  | | | | | | | | | | | 
% 171.71/26.36  | | | | | | | | | | | REF_CLOSE: (58), (70), (129) are inconsistent by sub-proof
% 171.71/26.36  | | | | | | | | | | |            #889.
% 171.71/26.36  | | | | | | | | | | | 
% 171.71/26.36  | | | | | | | | | | Case 2:
% 171.71/26.36  | | | | | | | | | | | 
% 171.71/26.36  | | | | | | | | | | |   (130)  all_58_28 = e3
% 171.71/26.36  | | | | | | | | | | | 
% 171.71/26.36  | | | | | | | | | | | COMBINE_EQS: (73), (130) imply:
% 171.71/26.36  | | | | | | | | | | |   (131)  all_52_12 = e3
% 171.71/26.36  | | | | | | | | | | | 
% 171.71/26.36  | | | | | | | | | | | REDUCE: (56), (131) imply:
% 171.71/26.36  | | | | | | | | | | |   (132)   ~ (all_52_4 = e3)
% 171.71/26.36  | | | | | | | | | | | 
% 171.71/26.36  | | | | | | | | | | | REDUCE: (6), (131) imply:
% 171.71/26.36  | | | | | | | | | | |   (133)   ~ (all_6_2 = e3)
% 171.71/26.36  | | | | | | | | | | | 
% 171.71/26.36  | | | | | | | | | | | SIMP: (133) implies:
% 171.71/26.36  | | | | | | | | | | |   (134)   ~ (all_6_2 = e3)
% 171.71/26.36  | | | | | | | | | | | 
% 171.71/26.36  | | | | | | | | | | | REF_CLOSE: (1), (2), (4), (7), (8), (13), (14), (20), (22),
% 171.71/26.36  | | | | | | | | | | |            (23), (24), (29), (30), (32), (34), (35), (38),
% 171.71/26.36  | | | | | | | | | | |            (40), (41), (43), (44), (45), (49), (52), (55),
% 171.71/26.36  | | | | | | | | | | |            (57), (60), (66), (68), (71), (74), (76), (77),
% 171.71/26.36  | | | | | | | | | | |            (86), (118), (123), (124), (132), (134) are
% 171.71/26.36  | | | | | | | | | | |            inconsistent by sub-proof #200.
% 171.71/26.36  | | | | | | | | | | | 
% 171.71/26.36  | | | | | | | | | | End of split
% 171.71/26.36  | | | | | | | | | | 
% 171.71/26.36  | | | | | | | | | End of split
% 171.71/26.36  | | | | | | | | | 
% 171.71/26.36  | | | | | | | | Case 2:
% 171.71/26.36  | | | | | | | | | 
% 171.71/26.36  | | | | | | | | |   (135)  all_58_24 = e3 | all_58_25 = e2
% 171.71/26.36  | | | | | | | | | 
% 171.71/26.36  | | | | | | | | | REF_CLOSE: (45), (61), (64), (116), (135) are inconsistent by
% 171.71/26.36  | | | | | | | | |            sub-proof #921.
% 171.71/26.36  | | | | | | | | | 
% 171.71/26.36  | | | | | | | | End of split
% 171.71/26.36  | | | | | | | | 
% 171.71/26.36  | | | | | | | Case 2:
% 171.71/26.36  | | | | | | | | 
% 171.71/26.36  | | | | | | | |   (136)  all_56_6 = e2 | all_56_12 = e2
% 171.71/26.36  | | | | | | | | 
% 171.71/26.36  | | | | | | | | REF_CLOSE: (2), (55), (70), (110), (136) are inconsistent by
% 171.71/26.36  | | | | | | | |            sub-proof #199.
% 171.71/26.36  | | | | | | | | 
% 171.71/26.36  | | | | | | | End of split
% 171.71/26.36  | | | | | | | 
% 171.71/26.36  | | | | | | End of split
% 171.71/26.36  | | | | | | 
% 171.71/26.36  | | | | | End of split
% 171.71/26.36  | | | | | 
% 171.71/26.36  | | | | End of split
% 171.71/26.36  | | | | 
% 171.71/26.36  | | | End of split
% 171.71/26.36  | | | 
% 171.71/26.36  | | End of split
% 171.71/26.36  | | 
% 171.71/26.36  | End of split
% 171.71/26.36  | 
% 171.71/26.36  End of proof
% 171.71/26.36  
% 171.71/26.36  Sub-proof #199 shows that the following formulas are inconsistent:
% 171.71/26.36  ----------------------------------------------------------------
% 171.71/26.36    (1)  all_56_12 = all_52_3
% 171.71/26.36    (2)  all_56_6 = e2 | all_56_12 = e2
% 171.71/26.36    (3)   ~ (all_52_3 = e2)
% 171.71/26.36    (4)  all_56_6 = e0
% 171.71/26.36    (5)   ~ (e2 = e0)
% 171.71/26.36  
% 171.71/26.36  Begin of proof
% 171.71/26.36  | 
% 171.71/26.36  | BETA: splitting (2) gives:
% 171.71/26.36  | 
% 171.71/26.36  | Case 1:
% 171.71/26.36  | | 
% 171.71/26.36  | |   (6)  all_56_6 = e2
% 171.71/26.36  | | 
% 171.71/26.36  | | REF_CLOSE: (4), (5), (6) are inconsistent by sub-proof #954.
% 171.71/26.36  | | 
% 171.71/26.36  | Case 2:
% 171.71/26.36  | | 
% 171.71/26.36  | |   (7)  all_56_12 = e2
% 171.71/26.36  | | 
% 171.71/26.36  | | REF_CLOSE: (1), (3), (7) are inconsistent by sub-proof #953.
% 171.71/26.36  | | 
% 171.71/26.36  | End of split
% 171.71/26.36  | 
% 171.71/26.36  End of proof
% 171.71/26.36  
% 171.71/26.36  Sub-proof #200 shows that the following formulas are inconsistent:
% 171.71/26.36  ----------------------------------------------------------------
% 171.71/26.36    (1)  all_56_1 = all_52_4
% 171.71/26.36    (2)  all_56_12 = all_52_3
% 171.71/26.36    (3)   ~ (e3 = e1)
% 171.71/26.36    (4)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 171.71/26.36    (5)  op(e3, all_52_4) = all_58_1
% 171.71/26.36    (6)  all_54_1 = all_52_4
% 171.71/26.36    (7)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.71/26.36    (8)  op(e0, all_52_3) = all_58_12
% 171.71/26.36    (9)   ~ (all_52_4 = e3)
% 171.71/26.36    (10)   ~ (all_52_3 = all_6_2)
% 171.71/26.36    (11)  all_58_18 = e0
% 171.71/26.36    (12)   ~ (all_52_1 = all_6_2)
% 171.71/26.36    (13)  all_56_0 = all_6_2
% 171.71/26.36    (14)  op(e3, e2) = all_52_4
% 171.71/26.36    (15)  all_58_17 = all_52_1
% 171.71/26.36    (16)   ~ (e3 = e2)
% 171.71/26.36    (17)  op(e1, e1) = all_58_10
% 171.71/26.36    (18)   ~ (all_6_2 = e2)
% 171.71/26.36    (19)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 171.71/26.36    (20)   ~ (all_6_2 = e3)
% 171.71/26.36    (21)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.71/26.36    (22)  all_58_7 = e0
% 171.71/26.36    (23)  all_58_16 = all_6_2
% 171.71/26.36    (24)  op(e0, e3) = all_52_3
% 171.71/26.36    (25)   ~ (all_52_4 = all_6_2)
% 171.71/26.36    (26)  op(e1, e1) = e1
% 171.71/26.36    (27)  all_56_2 = all_52_1
% 171.71/26.36    (28)   ~ (e3 = e0)
% 171.71/26.36    (29)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 171.71/26.36    (30)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 171.71/26.36    (31)  all_56_6 = e0
% 171.71/26.36    (32)  all_54_0 = all_6_2
% 171.71/26.36    (33)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 171.71/26.36    (34)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.36            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.36    (35)  all_54_12 = all_52_3
% 171.71/26.36    (36)   ~ (all_52_1 = all_52_3)
% 171.71/26.36    (37)   ~ (e1 = e0)
% 171.71/26.36    (38)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 171.71/26.36            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 171.71/26.36            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 171.71/26.36            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 171.71/26.36            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 171.71/26.36            (all_58_15 = e0))
% 171.71/26.37    (39)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 171.71/26.37  
% 171.71/26.37  Begin of proof
% 171.71/26.37  | 
% 171.71/26.37  | BETA: splitting (29) gives:
% 171.71/26.37  | 
% 171.71/26.37  | Case 1:
% 171.71/26.37  | | 
% 171.71/26.37  | |   (40)  all_56_12 = e3
% 171.71/26.37  | | 
% 171.71/26.37  | | COMBINE_EQS: (2), (40) imply:
% 171.71/26.37  | |   (41)  all_52_3 = e3
% 171.71/26.37  | | 
% 171.71/26.37  | | SIMP: (41) implies:
% 171.71/26.37  | |   (42)  all_52_3 = e3
% 171.71/26.37  | | 
% 171.71/26.37  | | REDUCE: (10), (42) imply:
% 171.71/26.37  | |   (43)   ~ (all_6_2 = e3)
% 171.71/26.37  | | 
% 171.71/26.37  | | REDUCE: (8), (42) imply:
% 171.71/26.37  | |   (44)  op(e0, e3) = all_58_12
% 171.71/26.37  | | 
% 171.71/26.37  | | REDUCE: (24), (42) imply:
% 171.71/26.37  | |   (45)  op(e0, e3) = e3
% 171.71/26.37  | | 
% 171.71/26.37  | | BETA: splitting (39) gives:
% 171.71/26.37  | | 
% 171.71/26.37  | | Case 1:
% 171.71/26.37  | | | 
% 171.71/26.37  | | |   (46)  all_56_1 = e2
% 171.71/26.37  | | | 
% 171.71/26.37  | | | COMBINE_EQS: (1), (46) imply:
% 171.71/26.37  | | |   (47)  all_52_4 = e2
% 171.71/26.37  | | | 
% 171.71/26.37  | | | REDUCE: (5), (47) imply:
% 171.71/26.37  | | |   (48)  op(e3, e2) = all_58_1
% 171.71/26.37  | | | 
% 171.71/26.37  | | | REDUCE: (14), (47) imply:
% 171.71/26.37  | | |   (49)  op(e3, e2) = e2
% 171.71/26.37  | | | 
% 171.71/26.37  | | | GROUND_INST: instantiating (34) with e3, all_58_12, e3, e0, simplifying
% 171.71/26.37  | | |              with (44), (45) gives:
% 171.71/26.37  | | |   (50)  all_58_12 = e3
% 171.71/26.37  | | | 
% 171.71/26.37  | | | GROUND_INST: instantiating (34) with e1, all_58_10, e1, e1, simplifying
% 171.71/26.37  | | |              with (17), (26) gives:
% 171.71/26.37  | | |   (51)  all_58_10 = e1
% 171.71/26.37  | | | 
% 171.71/26.37  | | | GROUND_INST: instantiating (34) with e2, all_58_1, e2, e3, simplifying
% 171.71/26.37  | | |              with (48), (49) gives:
% 171.71/26.37  | | |   (52)  all_58_1 = e2
% 171.71/26.37  | | | 
% 171.71/26.37  | | | BETA: splitting (38) gives:
% 171.71/26.37  | | | 
% 171.71/26.37  | | | Case 1:
% 171.71/26.37  | | | | 
% 171.71/26.37  | | | |   (53)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) & 
% 171.71/26.37  | | | |           ~ (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2)
% 171.71/26.37  | | | |           &  ~ (all_58_6 = e1) &  ~ (all_58_7 = e0))
% 171.71/26.37  | | | | 
% 171.71/26.37  | | | | REF_CLOSE: (22), (52), (53) are inconsistent by sub-proof #324.
% 171.71/26.37  | | | | 
% 171.71/26.37  | | | Case 2:
% 171.71/26.37  | | | | 
% 171.71/26.37  | | | |   (54)  ( ~ (all_58_8 = e3) &  ~ (all_58_9 = e2) &  ~ (all_58_10 = e1) &
% 171.71/26.37  | | | |            ~ (all_58_11 = e0)) | ( ~ (all_58_12 = e3) &  ~ (all_58_13 =
% 171.71/26.37  | | | |             e2) &  ~ (all_58_14 = e1) &  ~ (all_58_15 = e0))
% 171.71/26.37  | | | | 
% 171.71/26.37  | | | | BETA: splitting (54) gives:
% 171.71/26.37  | | | | 
% 171.71/26.37  | | | | Case 1:
% 171.71/26.37  | | | | | 
% 171.71/26.37  | | | | |   (55)   ~ (all_58_8 = e3) &  ~ (all_58_9 = e2) &  ~ (all_58_10 = e1)
% 171.71/26.37  | | | | |         &  ~ (all_58_11 = e0)
% 171.71/26.37  | | | | | 
% 171.71/26.37  | | | | | ALPHA: (55) implies:
% 171.71/26.37  | | | | |   (56)   ~ (all_58_10 = e1)
% 171.71/26.37  | | | | | 
% 171.71/26.37  | | | | | REDUCE: (51), (56) imply:
% 171.71/26.37  | | | | |   (57)  $false
% 171.71/26.37  | | | | | 
% 171.71/26.37  | | | | | CLOSE: (57) is inconsistent.
% 171.71/26.37  | | | | | 
% 171.71/26.37  | | | | Case 2:
% 171.71/26.37  | | | | | 
% 171.71/26.37  | | | | |   (58)   ~ (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 =
% 171.71/26.37  | | | | |           e1) &  ~ (all_58_15 = e0)
% 171.71/26.37  | | | | | 
% 171.71/26.37  | | | | | ALPHA: (58) implies:
% 171.71/26.37  | | | | |   (59)   ~ (all_58_12 = e3)
% 171.71/26.37  | | | | | 
% 171.71/26.37  | | | | | REDUCE: (50), (59) imply:
% 171.71/26.37  | | | | |   (60)  $false
% 171.71/26.37  | | | | | 
% 171.71/26.37  | | | | | CLOSE: (60) is inconsistent.
% 171.71/26.37  | | | | | 
% 171.71/26.37  | | | | End of split
% 171.71/26.37  | | | | 
% 171.71/26.37  | | | End of split
% 171.71/26.37  | | | 
% 171.71/26.37  | | Case 2:
% 171.71/26.37  | | | 
% 171.71/26.37  | | |   (61)   ~ (all_56_1 = e2)
% 171.71/26.37  | | | 
% 171.71/26.37  | | | REDUCE: (1), (61) imply:
% 171.71/26.37  | | |   (62)   ~ (all_52_4 = e2)
% 171.71/26.37  | | | 
% 171.71/26.37  | | | REF_CLOSE: (6), (9), (13), (18), (19), (20), (21), (25), (30), (32), (62)
% 171.71/26.37  | | |            are inconsistent by sub-proof #201.
% 171.71/26.37  | | | 
% 171.71/26.37  | | End of split
% 171.71/26.37  | | 
% 171.71/26.37  | Case 2:
% 171.71/26.37  | | 
% 171.71/26.37  | |   (63)   ~ (all_56_12 = e3)
% 171.71/26.37  | | 
% 171.71/26.37  | | REDUCE: (2), (63) imply:
% 171.71/26.37  | |   (64)   ~ (all_52_3 = e3)
% 171.71/26.37  | | 
% 171.71/26.37  | | BETA: splitting (7) gives:
% 171.71/26.37  | | 
% 171.71/26.37  | | Case 1:
% 171.71/26.37  | | | 
% 171.71/26.37  | | |   (65)  all_56_0 = e3
% 171.71/26.37  | | | 
% 171.71/26.37  | | | COMBINE_EQS: (13), (65) imply:
% 171.71/26.37  | | |   (66)  all_6_2 = e3
% 171.71/26.37  | | | 
% 171.71/26.37  | | | REDUCE: (20), (66) imply:
% 171.71/26.37  | | |   (67)  $false
% 171.71/26.37  | | | 
% 171.71/26.37  | | | CLOSE: (67) is inconsistent.
% 171.71/26.37  | | | 
% 171.71/26.37  | | Case 2:
% 171.71/26.37  | | | 
% 171.71/26.37  | | |   (68)  all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.71/26.37  | | | 
% 171.71/26.37  | | | REF_CLOSE: (2), (3), (4), (11), (12), (15), (16), (20), (23), (27), (28),
% 171.71/26.37  | | |            (31), (33), (35), (36), (37), (64), (68) are inconsistent by
% 171.71/26.37  | | |            sub-proof #365.
% 171.71/26.37  | | | 
% 171.71/26.37  | | End of split
% 171.71/26.37  | | 
% 171.71/26.37  | End of split
% 171.71/26.37  | 
% 171.71/26.37  End of proof
% 171.71/26.37  
% 171.71/26.37  Sub-proof #201 shows that the following formulas are inconsistent:
% 171.71/26.37  ----------------------------------------------------------------
% 171.71/26.37    (1)  all_54_1 = all_52_4
% 171.71/26.37    (2)   ~ (all_52_4 = e3)
% 171.71/26.37    (3)  all_56_0 = all_6_2
% 171.71/26.37    (4)   ~ (all_6_2 = e2)
% 171.71/26.37    (5)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 171.71/26.37    (6)   ~ (all_6_2 = e3)
% 171.71/26.37    (7)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.71/26.37    (8)   ~ (all_52_4 = all_6_2)
% 171.71/26.37    (9)   ~ (all_52_4 = e2)
% 171.71/26.37    (10)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 171.71/26.37    (11)  all_54_0 = all_6_2
% 171.71/26.37  
% 171.71/26.37  Begin of proof
% 171.71/26.37  | 
% 171.71/26.37  | BETA: splitting (7) gives:
% 171.71/26.37  | 
% 171.71/26.37  | Case 1:
% 171.71/26.37  | | 
% 171.71/26.37  | |   (12)  all_56_0 = e1
% 171.71/26.37  | | 
% 171.71/26.37  | | COMBINE_EQS: (3), (12) imply:
% 171.71/26.37  | |   (13)  all_6_2 = e1
% 171.71/26.37  | | 
% 171.71/26.37  | | REDUCE: (8), (13) imply:
% 171.71/26.37  | |   (14)   ~ (all_52_4 = e1)
% 171.71/26.37  | | 
% 171.71/26.37  | | REF_CLOSE: (1), (2), (9), (10), (14) are inconsistent by sub-proof #689.
% 171.71/26.37  | | 
% 171.71/26.37  | Case 2:
% 171.71/26.37  | | 
% 171.71/26.37  | |   (15)   ~ (all_56_0 = e1)
% 171.71/26.37  | | 
% 171.71/26.37  | | REDUCE: (3), (15) imply:
% 171.71/26.37  | |   (16)   ~ (all_6_2 = e1)
% 171.71/26.37  | | 
% 171.71/26.37  | | REF_CLOSE: (4), (5), (6), (11), (16) are inconsistent by sub-proof #848.
% 171.71/26.37  | | 
% 171.71/26.37  | End of split
% 171.71/26.37  | 
% 171.71/26.37  End of proof
% 171.71/26.37  
% 171.71/26.37  Sub-proof #202 shows that the following formulas are inconsistent:
% 171.71/26.37  ----------------------------------------------------------------
% 171.71/26.37    (1)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 171.71/26.37    (2)  all_56_12 = all_52_3
% 171.71/26.37    (3)  op(e3, all_52_12) = all_58_3
% 171.71/26.37    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.71/26.37    (5)  op(e1, all_52_14) = all_58_11
% 171.71/26.37    (6)   ~ (all_10_2 = e0)
% 171.71/26.37    (7)   ~ (e3 = e1)
% 171.71/26.37    (8)  all_58_23 = all_52_7
% 171.71/26.37    (9)   ~ (all_52_2 = all_6_2)
% 171.71/26.37    (10)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.71/26.37    (11)  all_54_3 = all_52_12
% 171.71/26.37    (12)  all_56_5 = all_52_9
% 171.71/26.37    (13)   ~ (all_52_3 = all_52_11)
% 171.71/26.37    (14)   ~ (all_52_12 = all_6_2)
% 171.71/26.37    (15)   ~ (all_52_6 = all_4_2)
% 171.71/26.37    (16)  op(e1, e0) = all_52_14
% 171.71/26.37    (17)  all_56_15 = all_14_2
% 171.71/26.37    (18)  op(all_10_2, e1) = all_10_1
% 171.71/26.37    (19)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 171.71/26.37    (20)   ~ (all_52_9 = all_4_2)
% 171.71/26.37    (21)  all_54_6 = all_52_9
% 171.71/26.37    (22)  all_56_14 = all_52_11
% 171.71/26.37    (23)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 171.71/26.37    (24)   ~ (all_52_13 = all_4_2)
% 171.71/26.37    (25)  op(e0, all_52_3) = all_58_12
% 171.71/26.37    (26)  all_56_8 = all_10_2
% 171.71/26.37    (27)  op(e2, all_52_1) = all_58_4
% 171.71/26.37    (28)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.71/26.37    (29)  all_58_26 = all_10_2
% 171.71/26.37    (30)  all_58_31 = all_14_2
% 171.71/26.37    (31)   ~ (all_52_9 = all_52_13)
% 171.71/26.37    (32)   ~ (all_52_3 = all_6_2)
% 171.71/26.37    (33)   ~ (all_52_1 = all_6_2)
% 171.71/26.37    (34)  all_56_11 = all_52_14
% 171.71/26.37    (35)  op(e2, e1) = all_52_9
% 171.71/26.37    (36)   ~ (all_52_6 = all_52_7)
% 171.71/26.37    (37)   ~ (all_4_1 = e0)
% 171.71/26.37    (38)  all_56_0 = all_6_2
% 171.71/26.37    (39)  all_58_30 = all_52_14
% 171.71/26.37    (40)  op(all_4_2, e2) = all_4_1
% 171.71/26.37    (41)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 171.71/26.37    (42)  all_58_17 = all_52_1
% 171.71/26.37    (43)  op(e3, e1) = all_52_8
% 171.71/26.37    (44)  op(e2, all_4_2) = all_58_5
% 171.71/26.37    (45)  all_58_20 = e0
% 171.71/26.37    (46)  all_58_19 = all_52_3
% 171.71/26.37    (47)  all_56_9 = all_52_12
% 171.71/26.37    (48)   ~ (all_52_2 = all_52_6)
% 171.71/26.37    (49)  op(e2, e2) = all_4_2
% 171.71/26.37    (50)   ~ (e3 = e2)
% 171.71/26.37    (51)  op(e3, all_52_8) = all_58_2
% 171.71/26.37    (52)   ~ (e2 = e1)
% 171.71/26.37    (53)   ~ (all_52_6 = all_10_2)
% 171.71/26.37    (54)  all_56_1 = e0
% 171.71/26.37    (55)   ~ (all_52_13 = all_14_2)
% 171.71/26.37    (56)   ~ (all_52_1 = all_4_2)
% 171.71/26.37    (57)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.71/26.37    (58)  all_54_9 = all_52_6
% 171.71/26.37    (59)   ~ (all_52_13 = all_52_14)
% 171.71/26.37    (60)  all_58_18 = all_52_2
% 171.71/26.37    (61)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.71/26.37    (62)  all_58_16 = all_6_2
% 171.71/26.37    (63)  all_56_13 = all_52_7
% 171.71/26.37    (64)  op(e0, e3) = all_52_3
% 171.71/26.37    (65)  all_56_2 = all_52_1
% 171.71/26.37    (66)   ~ (e3 = e0)
% 171.71/26.37    (67)  all_58_29 = all_52_13
% 171.71/26.37    (68)   ~ (all_52_1 = all_52_2)
% 171.71/26.37    (69)  op(e3, e2) = e0
% 171.71/26.37    (70)   ~ (all_4_2 = e0)
% 171.71/26.37    (71)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 171.71/26.37    (72)   ~ (all_6_2 = e0)
% 171.71/26.37    (73)  all_56_4 = all_52_8
% 171.71/26.37    (74)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.71/26.37    (75)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 171.71/26.37    (76)   ~ (all_52_1 = all_52_13)
% 171.71/26.37    (77)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 171.71/26.37    (78)   ~ (all_52_7 = all_52_11)
% 171.71/26.37    (79)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 171.71/26.37    (80)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 171.71/26.37    (81)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 171.71/26.37    (82)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 171.71/26.37    (83)   ~ (all_52_8 = all_6_2)
% 171.71/26.37    (84)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 171.71/26.37    (85)  all_56_6 = all_52_2
% 171.71/26.37    (86)   ~ (all_52_1 = all_52_9)
% 171.71/26.37    (87)   ~ (all_52_7 = e0)
% 171.71/26.37    (88)   ~ (all_52_12 = all_52_14)
% 171.71/26.37    (89)   ~ (all_52_9 = all_52_11)
% 171.71/26.37    (90)  all_58_22 = all_52_6
% 171.71/26.37    (91)  all_56_3 = all_4_2
% 171.71/26.37    (92)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 171.71/26.37    (93)  all_54_0 = all_6_2
% 171.71/26.37    (94)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 171.71/26.37    (95)   ~ (all_52_2 = all_52_3)
% 171.71/26.37    (96)   ~ (all_52_14 = all_14_2)
% 171.71/26.37    (97)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.71/26.37    (98)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.37            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.37    (99)   ~ (all_52_6 = e0)
% 171.71/26.37    (100)  all_54_12 = all_52_3
% 171.71/26.37    (101)   ~ (all_52_2 = all_52_14)
% 171.71/26.37    (102)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.71/26.37    (103)  all_58_21 = all_4_2
% 171.71/26.37    (104)  all_56_10 = all_52_13
% 171.71/26.37    (105)   ~ (all_52_3 = e0)
% 171.71/26.37    (106)   ~ (e2 = e0)
% 171.71/26.37    (107)   ~ (all_52_1 = all_52_3)
% 171.71/26.37    (108)  all_58_28 = all_52_12
% 171.71/26.37    (109)   ~ (e1 = e0)
% 171.71/26.37    (110)  all_54_4 = all_52_1
% 171.71/26.37    (111)  all_56_7 = all_52_6
% 171.71/26.37    (112)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 171.71/26.37             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 171.71/26.37             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 171.71/26.37             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 171.71/26.37             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 171.71/26.37             (all_58_15 = e0))
% 171.71/26.37    (113)  all_54_5 = all_4_2
% 171.71/26.37    (114)  op(all_10_1, all_10_2) = all_10_0
% 171.71/26.37    (115)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 171.71/26.37    (116)   ~ (all_10_0 = e0)
% 171.71/26.37    (117)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 171.71/26.37           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 171.71/26.37           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.71/26.37           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 171.71/26.37           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.71/26.37           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 171.71/26.37           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.71/26.37           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 171.71/26.37           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 171.71/26.37           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 171.71/26.37             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 171.71/26.37             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 171.71/26.37             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 171.71/26.37             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 171.71/26.37             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 171.71/26.37             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 171.71/26.37             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 171.71/26.37             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 171.71/26.37             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 171.71/26.37             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 171.71/26.37             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 171.71/26.37             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 171.71/26.37             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 171.71/26.37             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 171.71/26.37             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 171.71/26.37             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 171.71/26.37           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 171.71/26.37           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 171.71/26.37           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 171.71/26.37             all_58_30 = e0 & e1 = e0)
% 171.71/26.37    (118)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 171.71/26.37    (119)   ~ (all_52_12 = all_52_13)
% 171.71/26.37  
% 171.71/26.37  Begin of proof
% 171.71/26.37  | 
% 171.71/26.37  | BETA: splitting (74) gives:
% 171.71/26.37  | 
% 171.71/26.37  | Case 1:
% 171.71/26.37  | | 
% 171.71/26.37  | |   (120)  all_56_2 = e0
% 171.71/26.37  | | 
% 171.71/26.37  | | COMBINE_EQS: (65), (120) imply:
% 171.71/26.37  | |   (121)  all_52_1 = e0
% 171.71/26.37  | | 
% 171.71/26.37  | | COMBINE_EQS: (42), (121) imply:
% 171.71/26.37  | |   (122)  all_58_17 = e0
% 171.71/26.37  | | 
% 171.71/26.37  | | REDUCE: (68), (121) imply:
% 171.71/26.37  | |   (123)   ~ (all_52_2 = e0)
% 171.71/26.37  | | 
% 171.71/26.37  | | SIMP: (123) implies:
% 171.71/26.37  | |   (124)   ~ (all_52_2 = e0)
% 171.71/26.37  | | 
% 171.71/26.37  | | REDUCE: (107), (121) imply:
% 171.71/26.37  | |   (125)   ~ (all_52_3 = e0)
% 171.71/26.37  | | 
% 171.71/26.37  | | REDUCE: (33), (121) imply:
% 171.71/26.37  | |   (126)   ~ (all_6_2 = e0)
% 171.71/26.37  | | 
% 171.71/26.37  | | REDUCE: (56), (121) imply:
% 171.71/26.37  | |   (127)   ~ (all_4_2 = e0)
% 171.71/26.37  | | 
% 171.71/26.37  | | BETA: splitting (80) gives:
% 171.71/26.37  | | 
% 171.71/26.37  | | Case 1:
% 171.71/26.37  | | | 
% 171.71/26.37  | | |   (128)  all_56_6 = e0
% 171.71/26.37  | | | 
% 171.71/26.37  | | | COMBINE_EQS: (85), (128) imply:
% 171.71/26.37  | | |   (129)  all_52_2 = e0
% 171.71/26.37  | | | 
% 171.71/26.37  | | | REDUCE: (124), (129) imply:
% 171.71/26.37  | | |   (130)  $false
% 171.71/26.37  | | | 
% 171.71/26.37  | | | CLOSE: (130) is inconsistent.
% 171.71/26.37  | | | 
% 171.71/26.37  | | Case 2:
% 171.71/26.37  | | | 
% 171.71/26.37  | | |   (131)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 171.71/26.37  | | | 
% 171.71/26.37  | | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (10), (14), (15), (16),
% 171.71/26.37  | | |            (24), (25), (26), (28), (30), (32), (34), (37), (38), (39),
% 171.71/26.37  | | |            (40), (43), (44), (45), (46), (47), (48), (49), (51), (54),
% 171.71/26.37  | | |            (57), (60), (61), (62), (64), (66), (67), (69), (70), (72),
% 171.71/26.37  | | |            (73), (75), (77), (81), (85), (87), (90), (91), (92), (93),
% 171.71/26.37  | | |            (94), (95), (96), (98), (99), (100), (101), (102), (103),
% 171.71/26.37  | | |            (105), (106), (108), (109), (111), (112), (113), (115), (118),
% 171.71/26.37  | | |            (120), (122), (131) are inconsistent by sub-proof #223.
% 171.71/26.37  | | | 
% 171.71/26.37  | | End of split
% 171.71/26.37  | | 
% 171.71/26.37  | Case 2:
% 171.71/26.37  | | 
% 171.71/26.37  | |   (132)   ~ (all_56_2 = e0)
% 171.71/26.37  | |   (133)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.71/26.37  | | 
% 171.71/26.37  | | REDUCE: (65), (132) imply:
% 171.71/26.37  | |   (134)   ~ (all_52_1 = e0)
% 171.71/26.37  | | 
% 171.71/26.37  | | BETA: splitting (79) gives:
% 171.71/26.37  | | 
% 171.71/26.37  | | Case 1:
% 171.71/26.37  | | | 
% 171.71/26.37  | | |   (135)  all_56_0 = e0
% 171.71/26.37  | | | 
% 171.71/26.37  | | | COMBINE_EQS: (38), (135) imply:
% 171.71/26.37  | | |   (136)  all_6_2 = e0
% 171.71/26.37  | | | 
% 171.71/26.37  | | | REDUCE: (72), (136) imply:
% 171.71/26.37  | | |   (137)  $false
% 171.71/26.37  | | | 
% 171.71/26.37  | | | CLOSE: (137) is inconsistent.
% 171.71/26.37  | | | 
% 171.71/26.37  | | Case 2:
% 171.71/26.37  | | | 
% 171.71/26.37  | | |   (138)   ~ (all_56_0 = e0)
% 171.71/26.37  | | |   (139)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 171.71/26.37  | | | 
% 171.71/26.37  | | | BETA: splitting (139) gives:
% 171.71/26.37  | | | 
% 171.71/26.37  | | | Case 1:
% 171.71/26.37  | | | | 
% 171.71/26.37  | | | |   (140)  all_56_2 = e0
% 171.71/26.37  | | | | 
% 171.71/26.37  | | | | COMBINE_EQS: (65), (140) imply:
% 171.71/26.37  | | | |   (141)  all_52_1 = e0
% 171.71/26.37  | | | | 
% 171.71/26.37  | | | | REDUCE: (134), (141) imply:
% 171.71/26.37  | | | |   (142)  $false
% 171.71/26.37  | | | | 
% 171.71/26.37  | | | | CLOSE: (142) is inconsistent.
% 171.71/26.37  | | | | 
% 171.71/26.37  | | | Case 2:
% 171.71/26.37  | | | | 
% 171.71/26.37  | | | |   (143)  all_56_6 = e0 | all_56_12 = e0
% 171.71/26.37  | | | | 
% 171.71/26.37  | | | | BETA: splitting (143) gives:
% 171.71/26.37  | | | | 
% 171.71/26.37  | | | | Case 1:
% 171.71/26.37  | | | | | 
% 171.71/26.37  | | | | |   (144)  all_56_6 = e0
% 171.71/26.37  | | | | | 
% 171.71/26.37  | | | | | COMBINE_EQS: (85), (144) imply:
% 171.71/26.37  | | | | |   (145)  all_52_2 = e0
% 171.71/26.37  | | | | | 
% 171.71/26.37  | | | | | COMBINE_EQS: (60), (145) imply:
% 171.71/26.37  | | | | |   (146)  all_58_18 = e0
% 171.71/26.37  | | | | | 
% 171.71/26.37  | | | | | REF_CLOSE: (1), (2), (3), (7), (8), (10), (11), (12), (13), (14),
% 171.71/26.37  | | | | |            (15), (17), (18), (19), (20), (21), (22), (23), (24), (26),
% 171.71/26.37  | | | | |            (27), (28), (29), (30), (31), (33), (34), (35), (36), (37),
% 171.71/26.37  | | | | |            (38), (39), (40), (41), (42), (45), (46), (47), (50), (52),
% 171.71/26.37  | | | | |            (53), (55), (56), (57), (58), (59), (61), (62), (63), (65),
% 171.71/26.37  | | | | |            (66), (67), (69), (70), (71), (72), (73), (76), (77), (78),
% 171.71/26.37  | | | | |            (81), (82), (83), (84), (86), (87), (88), (89), (90), (91),
% 171.71/26.37  | | | | |            (96), (97), (98), (99), (102), (103), (104), (105), (106),
% 171.71/26.37  | | | | |            (108), (109), (110), (111), (113), (114), (115), (116),
% 171.71/26.37  | | | | |            (117), (118), (119), (133), (144), (146) are inconsistent
% 171.71/26.37  | | | | |            by sub-proof #398.
% 171.71/26.37  | | | | | 
% 171.71/26.37  | | | | Case 2:
% 171.71/26.37  | | | | | 
% 171.71/26.37  | | | | |   (147)  all_56_12 = e0
% 171.71/26.37  | | | | | 
% 171.71/26.37  | | | | | REF_CLOSE: (2), (105), (147) are inconsistent by sub-proof #919.
% 171.71/26.37  | | | | | 
% 171.71/26.37  | | | | End of split
% 171.71/26.37  | | | | 
% 171.71/26.37  | | | End of split
% 171.71/26.37  | | | 
% 171.71/26.37  | | End of split
% 171.71/26.37  | | 
% 171.71/26.37  | End of split
% 171.71/26.37  | 
% 171.71/26.37  End of proof
% 171.71/26.37  
% 171.71/26.37  Sub-proof #203 shows that the following formulas are inconsistent:
% 171.71/26.37  ----------------------------------------------------------------
% 171.71/26.37    (1)   ~ (all_52_12 = all_14_2)
% 171.71/26.37    (2)  op(e0, e0) = all_14_2
% 171.71/26.37    (3)  all_56_1 = all_52_4
% 171.71/26.37    (4)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 171.71/26.37    (5)  all_56_12 = all_52_3
% 171.71/26.37    (6)  op(e1, all_52_14) = all_58_11
% 171.71/26.37    (7)   ~ (all_10_2 = e0)
% 171.71/26.37    (8)   ~ (all_52_8 = all_52_12)
% 171.71/26.37    (9)   ~ (e3 = e1)
% 171.71/26.37    (10)  all_58_23 = all_52_7
% 171.71/26.37    (11)   ~ (all_52_2 = all_6_2)
% 171.71/26.37    (12)   ~ (all_52_4 = all_4_2)
% 171.71/26.37    (13)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 171.71/26.37    (14)  all_54_3 = all_52_12
% 171.71/26.37    (15)  all_56_5 = all_52_9
% 171.71/26.37    (16)   ~ (all_52_3 = all_52_11)
% 171.71/26.37    (17)  op(all_6_2, e3) = all_6_1
% 171.71/26.37    (18)   ~ (all_52_12 = all_6_2)
% 171.71/26.37    (19)  op(e2, e0) = all_52_13
% 171.71/26.37    (20)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 171.71/26.37    (21)   ~ (all_52_6 = all_4_2)
% 171.71/26.37    (22)  op(e3, all_6_2) = all_58_0
% 171.71/26.37    (23)  op(e1, e0) = all_52_14
% 171.71/26.37    (24)  all_56_15 = all_14_2
% 171.71/26.37    (25)  all_54_1 = all_52_4
% 171.71/26.37    (26)   ~ (all_14_2 = e0)
% 171.71/26.37    (27)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 171.71/26.37    (28)   ~ (all_52_9 = all_4_2)
% 171.71/26.37    (29)   ~ (all_52_3 = all_52_7)
% 171.71/26.37    (30)  all_54_6 = all_52_9
% 171.71/26.37    (31)  all_56_14 = all_52_11
% 171.71/26.37    (32)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 171.71/26.37    (33)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 171.71/26.37    (34)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.71/26.37    (35)  all_56_8 = all_10_2
% 171.71/26.37    (36)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.71/26.37    (37)  all_58_26 = all_10_2
% 171.71/26.37    (38)   ~ (all_52_4 = all_52_6)
% 171.71/26.37    (39)  all_58_31 = all_14_2
% 171.71/26.37    (40)   ~ (all_52_11 = all_10_2)
% 171.71/26.37    (41)   ~ (all_52_9 = all_52_13)
% 171.71/26.37    (42)   ~ (all_52_3 = all_6_2)
% 171.71/26.37    (43)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 171.71/26.37    (44)   ~ (all_52_1 = all_6_2)
% 171.71/26.37    (45)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 171.71/26.37    (46)  all_54_2 = all_52_8
% 171.71/26.37    (47)  all_56_11 = all_52_14
% 171.71/26.37    (48)   ~ (all_52_6 = all_52_7)
% 171.71/26.37    (49)  all_56_0 = all_6_2
% 171.71/26.37    (50)   ~ (all_52_9 = all_10_2)
% 171.71/26.37    (51)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.71/26.37    (52)  all_58_30 = all_52_14
% 171.71/26.37    (53)  all_58_27 = all_52_11
% 171.71/26.37    (54)  all_54_14 = all_52_11
% 171.71/26.37    (55)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 171.71/26.37    (56)  all_58_17 = all_52_1
% 171.71/26.37    (57)  all_58_19 = all_52_3
% 171.71/26.37    (58)  all_56_9 = all_52_12
% 171.71/26.37    (59)   ~ (all_52_2 = all_52_6)
% 171.71/26.37    (60)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 171.71/26.37    (61)   ~ (e3 = e2)
% 171.71/26.37    (62)   ~ (all_52_4 = all_52_7)
% 171.71/26.37    (63)   ~ (e2 = e1)
% 171.71/26.37    (64)   ~ (all_52_6 = all_10_2)
% 171.71/26.37    (65)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 171.71/26.37    (66)  op(e0, all_52_11) = all_58_14
% 171.71/26.37    (67)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 171.71/26.37    (68)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 171.71/26.37    (69)   ~ (all_52_13 = all_14_2)
% 171.71/26.37    (70)   ~ (all_52_1 = all_4_2)
% 171.71/26.37    (71)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.71/26.37    (72)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.71/26.37    (73)  all_54_9 = all_52_6
% 171.71/26.37    (74)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 171.71/26.37    (75)   ~ (all_52_13 = all_52_14)
% 171.71/26.37    (76)  all_58_18 = all_52_2
% 171.71/26.37    (77)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.71/26.37    (78)  all_58_16 = all_6_2
% 171.71/26.37    (79)  all_56_13 = all_52_7
% 171.71/26.37    (80)  op(e0, e3) = all_52_3
% 171.71/26.37    (81)  op(e0, all_52_7) = all_58_13
% 171.71/26.37    (82)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 171.71/26.37    (83)   ~ (all_52_8 = all_52_9)
% 171.71/26.37    (84)   ~ (all_52_4 = all_6_2)
% 171.71/26.37    (85)  all_56_2 = all_52_1
% 171.71/26.37    (86)   ~ (e3 = e0)
% 171.71/26.37    (87)  op(e3, e0) = all_52_12
% 171.71/26.37    (88)  all_58_29 = all_52_13
% 171.71/26.37    (89)   ~ (all_52_1 = all_52_2)
% 171.71/26.37    (90)   ~ (all_4_2 = e0)
% 171.71/26.37    (91)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 171.71/26.37    (92)   ~ (all_52_6 = all_52_14)
% 171.71/26.37    (93)   ~ (all_52_7 = all_4_2)
% 171.71/26.37    (94)   ~ (all_52_8 = all_10_2)
% 171.71/26.37    (95)  all_56_4 = all_52_8
% 171.71/26.37    (96)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.71/26.37    (97)   ~ (all_52_1 = all_52_13)
% 171.71/26.37    (98)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 171.71/26.37    (99)  all_58_20 = all_52_4
% 171.71/26.37    (100)  all_54_15 = all_14_2
% 171.71/26.37    (101)   ~ (all_52_7 = all_52_11)
% 171.71/26.37    (102)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 171.71/26.37    (103)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 171.71/26.37    (104)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 171.71/26.37    (105)   ~ (all_52_8 = all_52_11)
% 171.71/26.37    (106)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 171.71/26.37    (107)   ~ (all_52_8 = all_6_2)
% 171.71/26.37    (108)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 171.71/26.37    (109)  all_56_6 = all_52_2
% 171.71/26.37    (110)   ~ (all_52_1 = all_52_9)
% 171.71/26.37    (111)  all_58_24 = all_52_8
% 171.71/26.37    (112)   ~ (all_52_12 = all_52_14)
% 171.71/26.37    (113)   ~ (all_52_9 = all_52_11)
% 171.71/26.37    (114)  all_58_22 = all_52_6
% 171.71/26.37    (115)   ~ (all_52_4 = all_52_12)
% 171.71/26.37    (116)  all_56_3 = all_4_2
% 171.71/26.37    (117)   ~ (all_52_14 = all_10_2)
% 171.71/26.37    (118)   ~ (all_52_2 = all_52_3)
% 171.71/26.37    (119)   ~ (all_52_4 = all_52_8)
% 171.71/26.37    (120)   ~ (all_52_14 = all_14_2)
% 171.71/26.37    (121)  all_58_25 = all_52_9
% 171.71/26.37    (122)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 171.71/26.37    (123)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.37             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.37    (124)   ~ (all_52_2 = all_52_14)
% 171.71/26.37    (125)  all_58_21 = all_4_2
% 171.71/26.37    (126)  all_56_10 = all_52_13
% 171.71/26.37    (127)  op(e2, all_52_9) = all_58_6
% 171.71/26.37    (128)  all_56_0 = e0
% 171.71/26.37    (129)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.71/26.37    (130)   ~ (e2 = e0)
% 171.71/26.37    (131)   ~ (all_52_1 = all_52_3)
% 171.71/26.37    (132)  all_58_28 = all_52_12
% 171.71/26.38    (133)  op(e1, all_52_6) = all_58_9
% 171.71/26.38    (134)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 171.71/26.38    (135)   ~ (e1 = e0)
% 171.71/26.38    (136)  all_54_4 = all_52_1
% 171.71/26.38    (137)  all_56_7 = all_52_6
% 171.71/26.38    (138)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 171.71/26.38             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 171.71/26.38             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 171.71/26.38             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 171.71/26.38             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 171.71/26.38             (all_58_15 = e0))
% 171.71/26.38    (139)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 171.71/26.38    (140)  all_54_5 = all_4_2
% 171.71/26.38    (141)  op(e2, all_52_13) = all_58_7
% 171.71/26.38    (142)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 171.71/26.38           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 171.71/26.38           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 171.71/26.38           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 171.71/26.38           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 171.71/26.38           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 171.71/26.38           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 171.71/26.38           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 171.71/26.38           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 171.71/26.38           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 171.71/26.38             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 171.71/26.38             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 171.71/26.38             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 171.71/26.38             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 171.71/26.38             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 171.71/26.38             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 171.71/26.38             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 171.71/26.38             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 171.71/26.38             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 171.71/26.38             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 171.71/26.38             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 171.71/26.38             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 171.71/26.38             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 171.71/26.38             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 171.71/26.38             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 171.71/26.38             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 171.71/26.38           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 171.71/26.38           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 171.71/26.38           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 171.71/26.38             all_58_30 = e0 & e1 = e0)
% 171.71/26.38    (143)  all_54_7 = all_52_13
% 171.71/26.38    (144)   ~ (all_52_2 = all_10_2)
% 171.71/26.38    (145)  all_54_11 = all_52_14
% 171.71/26.38    (146)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 171.71/26.38    (147)   ~ (all_52_12 = all_52_13)
% 171.71/26.38  
% 171.71/26.38  Begin of proof
% 171.71/26.38  | 
% 171.71/26.38  | COMBINE_EQS: (49), (128) imply:
% 171.71/26.38  |   (148)  all_6_2 = e0
% 171.71/26.38  | 
% 171.71/26.38  | COMBINE_EQS: (78), (148) imply:
% 171.71/26.38  |   (149)  all_58_16 = e0
% 171.71/26.38  | 
% 171.71/26.38  | REDUCE: (44), (148) imply:
% 171.71/26.38  |   (150)   ~ (all_52_1 = e0)
% 171.71/26.38  | 
% 171.71/26.38  | REDUCE: (11), (148) imply:
% 171.71/26.38  |   (151)   ~ (all_52_2 = e0)
% 171.71/26.38  | 
% 171.71/26.38  | REDUCE: (42), (148) imply:
% 171.71/26.38  |   (152)   ~ (all_52_3 = e0)
% 171.71/26.38  | 
% 171.71/26.38  | REDUCE: (84), (148) imply:
% 171.71/26.38  |   (153)   ~ (all_52_4 = e0)
% 171.71/26.38  | 
% 171.71/26.38  | REDUCE: (107), (148) imply:
% 171.71/26.38  |   (154)   ~ (all_52_8 = e0)
% 171.71/26.38  | 
% 171.71/26.38  | REDUCE: (18), (148) imply:
% 171.71/26.38  |   (155)   ~ (all_52_12 = e0)
% 171.71/26.38  | 
% 171.71/26.38  | REDUCE: (17), (148) imply:
% 171.71/26.38  |   (156)  op(e0, e3) = all_6_1
% 171.71/26.38  | 
% 171.71/26.38  | REDUCE: (22), (148) imply:
% 171.71/26.38  |   (157)  op(e3, e0) = all_58_0
% 171.71/26.38  | 
% 171.71/26.38  | GROUND_INST: instantiating (123) with all_52_3, all_6_1, e3, e0, simplifying
% 171.71/26.38  |              with (80), (156) gives:
% 171.71/26.38  |   (158)  all_52_3 = all_6_1
% 171.71/26.38  | 
% 171.71/26.38  | GROUND_INST: instantiating (123) with all_52_12, all_58_0, e0, e3, simplifying
% 171.71/26.38  |              with (87), (157) gives:
% 171.71/26.38  |   (159)  all_58_0 = all_52_12
% 171.71/26.38  | 
% 171.71/26.38  | COMBINE_EQS: (5), (158) imply:
% 171.71/26.38  |   (160)  all_56_12 = all_6_1
% 171.71/26.38  | 
% 171.71/26.38  | COMBINE_EQS: (57), (158) imply:
% 171.71/26.38  |   (161)  all_58_19 = all_6_1
% 171.71/26.38  | 
% 171.71/26.38  | REDUCE: (131), (158) imply:
% 171.71/26.38  |   (162)   ~ (all_52_1 = all_6_1)
% 171.71/26.38  | 
% 171.71/26.38  | REDUCE: (118), (158) imply:
% 171.71/26.38  |   (163)   ~ (all_52_2 = all_6_1)
% 171.71/26.38  | 
% 171.71/26.38  | REDUCE: (29), (158) imply:
% 171.71/26.38  |   (164)   ~ (all_52_7 = all_6_1)
% 171.71/26.38  | 
% 171.71/26.38  | SIMP: (164) implies:
% 171.71/26.38  |   (165)   ~ (all_52_7 = all_6_1)
% 171.71/26.38  | 
% 171.71/26.38  | REDUCE: (16), (158) imply:
% 171.71/26.38  |   (166)   ~ (all_52_11 = all_6_1)
% 171.71/26.38  | 
% 171.71/26.38  | SIMP: (166) implies:
% 171.71/26.38  |   (167)   ~ (all_52_11 = all_6_1)
% 171.71/26.38  | 
% 171.71/26.38  | REDUCE: (152), (158) imply:
% 171.71/26.38  |   (168)   ~ (all_6_1 = e0)
% 171.71/26.38  | 
% 171.71/26.38  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (12), (13), (14),
% 171.71/26.38  |            (15), (19), (20), (21), (23), (24), (25), (26), (27), (28), (30),
% 171.71/26.38  |            (31), (32), (33), (34), (35), (36), (37), (38), (39), (40), (41),
% 171.71/26.38  |            (43), (45), (46), (47), (48), (50), (51), (52), (53), (54), (55),
% 171.71/26.38  |            (56), (58), (59), (60), (61), (62), (63), (64), (65), (66), (67),
% 171.71/26.38  |            (68), (69), (70), (71), (72), (73), (74), (75), (76), (77), (79),
% 171.71/26.38  |            (81), (82), (83), (85), (86), (88), (89), (90), (91), (92), (93),
% 171.71/26.38  |            (94), (95), (96), (97), (98), (99), (100), (101), (102), (103),
% 171.71/26.38  |            (104), (105), (106), (108), (109), (110), (111), (112), (113),
% 171.71/26.38  |            (114), (115), (116), (117), (119), (120), (121), (122), (123),
% 171.71/26.38  |            (124), (125), (126), (127), (128), (129), (130), (132), (133),
% 171.71/26.38  |            (134), (135), (136), (137), (138), (139), (140), (141), (142),
% 171.71/26.38  |            (143), (144), (145), (146), (147), (149), (150), (151), (153),
% 171.71/26.38  |            (154), (155), (159), (160), (161), (162), (163), (165), (167),
% 171.71/26.38  |            (168) are inconsistent by sub-proof #578.
% 171.71/26.38  | 
% 171.71/26.38  End of proof
% 171.71/26.38  
% 171.71/26.38  Sub-proof #204 shows that the following formulas are inconsistent:
% 171.71/26.38  ----------------------------------------------------------------
% 171.71/26.38    (1)   ~ (all_52_12 = all_14_2)
% 171.71/26.38    (2)  all_54_8 = all_52_2
% 171.71/26.38    (3)  all_56_1 = all_52_4
% 171.71/26.38    (4)  all_56_12 = all_52_3
% 171.71/26.38    (5)  op(e1, e3) = all_52_2
% 171.71/26.38    (6)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.71/26.38    (7)   ~ (all_10_2 = e0)
% 171.71/26.38    (8)   ~ (all_52_8 = all_52_12)
% 171.71/26.38    (9)  all_58_23 = all_52_7
% 171.71/26.38    (10)   ~ (all_52_2 = all_6_2)
% 171.71/26.38    (11)  all_8_2 = all_6_2
% 171.71/26.38    (12)   ~ (all_52_4 = all_4_2)
% 171.71/26.38    (13)  all_56_5 = all_52_9
% 171.71/26.38    (14)   ~ (all_52_3 = all_52_11)
% 171.71/26.38    (15)  op(all_6_2, e3) = all_6_1
% 171.71/26.38    (16)   ~ (all_52_12 = all_6_2)
% 171.71/26.38    (17)  all_54_12 = e0
% 171.71/26.38    (18)   ~ (all_52_6 = all_4_2)
% 171.71/26.38    (19)  all_56_15 = all_14_2
% 171.71/26.38    (20)  all_54_1 = all_52_4
% 171.71/26.38    (21)   ~ (all_52_9 = all_4_2)
% 171.71/26.38    (22)   ~ (all_52_3 = all_52_7)
% 171.71/26.38    (23)  all_56_14 = all_52_11
% 171.71/26.38    (24)   ~ (all_52_13 = all_4_2)
% 171.71/26.38    (25)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.71/26.38    (26)  all_56_8 = all_10_2
% 171.71/26.38    (27)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.71/26.38    (28)  all_58_26 = all_10_2
% 171.71/26.38    (29)   ~ (all_52_4 = all_52_6)
% 171.71/26.38    (30)  all_58_31 = all_14_2
% 171.71/26.38    (31)   ~ (all_52_11 = all_10_2)
% 171.71/26.38    (32)   ~ (all_52_3 = all_6_2)
% 171.71/26.38    (33)   ~ (all_52_1 = all_6_2)
% 171.71/26.38    (34)  all_56_11 = all_52_14
% 171.71/26.38    (35)   ~ (all_52_6 = all_52_7)
% 171.71/26.38    (36)   ~ (all_4_1 = e0)
% 171.71/26.38    (37)  all_56_0 = all_6_2
% 171.71/26.38    (38)   ~ (all_52_9 = all_10_2)
% 171.71/26.38    (39)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.71/26.38    (40)  all_58_30 = all_52_14
% 171.71/26.38    (41)  all_58_27 = all_52_11
% 171.71/26.38    (42)  all_54_14 = all_52_11
% 171.71/26.38    (43)  op(e3, e2) = all_52_4
% 171.71/26.38    (44)  op(all_4_2, e2) = all_4_1
% 171.71/26.38    (45)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 171.71/26.38    (46)  all_56_9 = all_52_12
% 171.71/26.38    (47)   ~ (all_52_2 = all_52_6)
% 171.71/26.38    (48)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 171.71/26.38    (49)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 171.71/26.38    (50)   ~ (e3 = e2)
% 171.71/26.38    (51)   ~ (all_52_4 = all_52_7)
% 171.71/26.38    (52)   ~ (e2 = e1)
% 171.71/26.38    (53)   ~ (all_52_6 = all_10_2)
% 171.71/26.38    (54)   ~ (all_52_7 = all_14_2)
% 171.71/26.38    (55)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 171.71/26.38    (56)   ~ (all_52_13 = all_14_2)
% 171.71/26.38    (57)   ~ (all_52_1 = all_4_2)
% 171.71/26.38    (58)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.71/26.38    (59)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.71/26.38    (60)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 171.71/26.38    (61)   ~ (all_52_13 = all_52_14)
% 171.71/26.38    (62)  op(e2, e3) = all_52_1
% 171.71/26.38    (63)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.71/26.38    (64)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 171.71/26.38    (65)  all_56_13 = all_52_7
% 171.71/26.38    (66)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 171.71/26.38    (67)   ~ (all_52_8 = all_52_9)
% 171.71/26.38    (68)   ~ (all_52_4 = all_6_2)
% 171.71/26.38    (69)  all_56_2 = all_52_1
% 171.71/26.38    (70)   ~ (e3 = e0)
% 171.71/26.38    (71)  all_58_29 = all_52_13
% 171.71/26.38    (72)   ~ (all_52_1 = all_52_2)
% 171.71/26.38    (73)   ~ (all_4_2 = e0)
% 171.71/26.38    (74)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 171.71/26.38    (75)   ~ (all_52_6 = all_52_14)
% 171.71/26.38    (76)   ~ (all_52_7 = all_4_2)
% 171.71/26.38    (77)  all_56_4 = all_52_8
% 171.71/26.38    (78)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.71/26.38    (79)   ~ (all_52_1 = all_52_13)
% 171.71/26.38    (80)  all_58_20 = all_52_4
% 171.71/26.38    (81)  all_54_13 = all_52_7
% 171.71/26.38    (82)   ~ (all_52_7 = all_52_11)
% 171.71/26.38    (83)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 171.71/26.38    (84)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 171.71/26.38    (85)   ~ (all_52_8 = all_52_11)
% 171.71/26.38    (86)   ~ (all_52_8 = all_6_2)
% 171.71/26.38    (87)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 171.71/26.38    (88)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.71/26.38    (89)  all_56_6 = all_52_2
% 171.71/26.38    (90)   ~ (all_52_1 = all_52_9)
% 171.71/26.38    (91)  all_58_24 = all_52_8
% 171.71/26.38    (92)   ~ (all_52_12 = all_52_14)
% 171.71/26.38    (93)   ~ (all_52_9 = all_52_11)
% 171.71/26.38    (94)  all_58_22 = all_52_6
% 171.71/26.38    (95)   ~ (all_52_4 = all_52_12)
% 171.71/26.38    (96)  all_56_3 = all_4_2
% 171.71/26.38    (97)  all_54_0 = all_6_2
% 171.71/26.38    (98)   ~ (all_52_14 = all_10_2)
% 171.71/26.38    (99)   ~ (all_52_2 = all_52_3)
% 171.71/26.38    (100)   ~ (all_52_4 = all_52_8)
% 171.71/26.38    (101)   ~ (all_52_14 = all_14_2)
% 171.71/26.38    (102)  all_58_25 = all_52_9
% 171.71/26.38    (103)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.38             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.38    (104)  all_54_12 = all_52_3
% 171.71/26.38    (105)   ~ (all_52_2 = all_52_14)
% 171.71/26.38    (106)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.71/26.38    (107)  all_58_21 = all_4_2
% 171.71/26.38    (108)  all_56_10 = all_52_13
% 171.71/26.38    (109)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.71/26.38    (110)   ~ (e2 = e0)
% 171.71/26.38    (111)   ~ (all_52_1 = all_52_3)
% 171.71/26.38    (112)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 171.71/26.38    (113)  all_8_1 = all_6_1
% 171.71/26.38    (114)  all_58_28 = all_52_12
% 171.71/26.38    (115)   ~ (e1 = e0)
% 171.71/26.38    (116)  all_54_4 = all_52_1
% 171.71/26.38    (117)  all_56_7 = all_52_6
% 171.71/26.38    (118)  all_54_5 = all_4_2
% 171.71/26.38    (119)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 171.71/26.38    (120)   ~ (all_52_2 = all_10_2)
% 171.71/26.38    (121)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 171.71/26.38    (122)   ~ (all_52_12 = all_52_13)
% 171.71/26.38  
% 171.71/26.38  Begin of proof
% 171.71/26.38  | 
% 171.71/26.38  | COMBINE_EQS: (17), (104) imply:
% 171.71/26.38  |   (123)  all_52_3 = e0
% 171.71/26.38  | 
% 171.71/26.38  | COMBINE_EQS: (4), (123) imply:
% 171.71/26.38  |   (124)  all_56_12 = e0
% 171.71/26.38  | 
% 171.71/26.38  | REDUCE: (111), (123) imply:
% 171.71/26.38  |   (125)   ~ (all_52_1 = e0)
% 171.71/26.38  | 
% 171.71/26.38  | REDUCE: (99), (123) imply:
% 171.71/26.38  |   (126)   ~ (all_52_2 = e0)
% 171.71/26.38  | 
% 171.71/26.38  | REDUCE: (22), (123) imply:
% 171.71/26.38  |   (127)   ~ (all_52_7 = e0)
% 171.71/26.38  | 
% 171.71/26.38  | SIMP: (127) implies:
% 171.71/26.38  |   (128)   ~ (all_52_7 = e0)
% 171.71/26.38  | 
% 171.71/26.38  | REDUCE: (14), (123) imply:
% 171.71/26.38  |   (129)   ~ (all_52_11 = e0)
% 171.71/26.38  | 
% 171.71/26.38  | SIMP: (129) implies:
% 171.71/26.38  |   (130)   ~ (all_52_11 = e0)
% 171.71/26.38  | 
% 171.71/26.38  | REDUCE: (32), (123) imply:
% 171.71/26.38  |   (131)   ~ (all_6_2 = e0)
% 171.71/26.38  | 
% 171.71/26.38  | SIMP: (131) implies:
% 171.71/26.38  |   (132)   ~ (all_6_2 = e0)
% 171.71/26.38  | 
% 171.71/26.38  | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 171.71/26.38  |            (15), (16), (18), (19), (20), (21), (23), (24), (25), (26), (27),
% 171.71/26.38  |            (28), (29), (30), (31), (33), (34), (35), (36), (37), (38), (39),
% 171.71/26.38  |            (40), (41), (42), (43), (44), (45), (46), (47), (48), (49), (50),
% 171.71/26.38  |            (51), (52), (53), (54), (55), (56), (57), (58), (59), (60), (61),
% 171.71/26.38  |            (62), (63), (64), (65), (66), (67), (68), (69), (70), (71), (72),
% 171.71/26.38  |            (73), (74), (75), (76), (77), (78), (79), (80), (81), (82), (83),
% 171.71/26.38  |            (84), (85), (86), (87), (88), (89), (90), (91), (92), (93), (94),
% 171.71/26.38  |            (95), (96), (97), (98), (100), (101), (102), (103), (105), (106),
% 171.71/26.38  |            (107), (108), (109), (110), (112), (113), (114), (115), (116),
% 171.71/26.38  |            (117), (118), (119), (120), (121), (122), (124), (125), (126),
% 171.71/26.38  |            (128), (130), (132) are inconsistent by sub-proof #205.
% 171.71/26.38  | 
% 171.71/26.38  End of proof
% 171.71/26.38  
% 171.71/26.38  Sub-proof #205 shows that the following formulas are inconsistent:
% 171.71/26.38  ----------------------------------------------------------------
% 171.71/26.38    (1)   ~ (all_52_12 = all_14_2)
% 171.71/26.38    (2)  all_54_8 = all_52_2
% 171.71/26.38    (3)  all_56_1 = all_52_4
% 171.71/26.38    (4)  op(e1, e3) = all_52_2
% 171.71/26.38    (5)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.71/26.38    (6)   ~ (all_10_2 = e0)
% 171.71/26.38    (7)   ~ (all_52_8 = all_52_12)
% 171.71/26.38    (8)  all_58_23 = all_52_7
% 171.71/26.38    (9)   ~ (all_52_2 = all_6_2)
% 171.71/26.38    (10)  all_8_2 = all_6_2
% 171.71/26.38    (11)   ~ (all_52_4 = all_4_2)
% 171.71/26.38    (12)  all_56_5 = all_52_9
% 171.71/26.38    (13)  op(all_6_2, e3) = all_6_1
% 171.71/26.38    (14)   ~ (all_52_12 = all_6_2)
% 171.71/26.38    (15)   ~ (all_52_6 = all_4_2)
% 171.71/26.38    (16)  all_56_15 = all_14_2
% 171.71/26.38    (17)  all_54_1 = all_52_4
% 171.71/26.38    (18)   ~ (all_52_9 = all_4_2)
% 171.71/26.38    (19)  all_56_14 = all_52_11
% 171.71/26.38    (20)   ~ (all_52_13 = all_4_2)
% 171.71/26.38    (21)  all_56_12 = e0
% 171.71/26.38    (22)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.71/26.38    (23)  all_56_8 = all_10_2
% 171.71/26.38    (24)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.71/26.38    (25)  all_58_26 = all_10_2
% 171.71/26.38    (26)   ~ (all_52_4 = all_52_6)
% 171.71/26.38    (27)  all_58_31 = all_14_2
% 171.71/26.38    (28)   ~ (all_52_11 = all_10_2)
% 171.71/26.38    (29)   ~ (all_52_1 = all_6_2)
% 171.71/26.38    (30)  all_56_11 = all_52_14
% 171.71/26.38    (31)   ~ (all_52_6 = all_52_7)
% 171.71/26.38    (32)   ~ (all_4_1 = e0)
% 171.71/26.38    (33)  all_56_0 = all_6_2
% 171.71/26.38    (34)   ~ (all_52_9 = all_10_2)
% 171.71/26.38    (35)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.71/26.38    (36)  all_58_30 = all_52_14
% 171.71/26.38    (37)  all_58_27 = all_52_11
% 171.71/26.38    (38)  all_54_14 = all_52_11
% 171.71/26.38    (39)  op(e3, e2) = all_52_4
% 171.71/26.38    (40)  op(all_4_2, e2) = all_4_1
% 171.71/26.38    (41)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 171.71/26.38    (42)  all_56_9 = all_52_12
% 171.71/26.38    (43)   ~ (all_52_2 = all_52_6)
% 171.71/26.38    (44)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 171.71/26.38    (45)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 171.71/26.38    (46)   ~ (e3 = e2)
% 171.71/26.38    (47)   ~ (all_52_4 = all_52_7)
% 171.71/26.38    (48)   ~ (e2 = e1)
% 171.71/26.38    (49)   ~ (all_52_6 = all_10_2)
% 171.71/26.38    (50)   ~ (all_52_2 = e0)
% 171.71/26.38    (51)   ~ (all_52_7 = all_14_2)
% 171.71/26.38    (52)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 171.71/26.38    (53)   ~ (all_52_13 = all_14_2)
% 171.71/26.38    (54)   ~ (all_52_1 = all_4_2)
% 171.71/26.38    (55)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.71/26.38    (56)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.71/26.38    (57)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 171.71/26.38    (58)   ~ (all_52_13 = all_52_14)
% 171.71/26.38    (59)  op(e2, e3) = all_52_1
% 171.71/26.38    (60)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.71/26.38    (61)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 171.71/26.38    (62)  all_56_13 = all_52_7
% 171.71/26.38    (63)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 171.71/26.38    (64)   ~ (all_52_8 = all_52_9)
% 171.71/26.38    (65)   ~ (all_52_4 = all_6_2)
% 171.71/26.38    (66)  all_56_2 = all_52_1
% 171.71/26.38    (67)   ~ (e3 = e0)
% 171.71/26.38    (68)  all_58_29 = all_52_13
% 171.71/26.38    (69)   ~ (all_52_1 = all_52_2)
% 171.71/26.38    (70)   ~ (all_4_2 = e0)
% 171.71/26.38    (71)   ~ (all_6_2 = e0)
% 171.71/26.38    (72)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 171.71/26.38    (73)   ~ (all_52_6 = all_52_14)
% 171.71/26.38    (74)   ~ (all_52_7 = all_4_2)
% 171.71/26.38    (75)  all_56_4 = all_52_8
% 171.71/26.38    (76)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.71/26.38    (77)   ~ (all_52_1 = all_52_13)
% 171.71/26.38    (78)  all_58_20 = all_52_4
% 171.71/26.38    (79)  all_54_13 = all_52_7
% 171.71/26.38    (80)   ~ (all_52_7 = all_52_11)
% 171.71/26.38    (81)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 171.71/26.38    (82)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 171.71/26.38    (83)   ~ (all_52_8 = all_52_11)
% 171.71/26.38    (84)   ~ (all_52_8 = all_6_2)
% 171.71/26.38    (85)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 171.71/26.38    (86)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.71/26.38    (87)  all_56_6 = all_52_2
% 171.71/26.38    (88)   ~ (all_52_1 = all_52_9)
% 171.71/26.38    (89)   ~ (all_52_7 = e0)
% 171.71/26.38    (90)  all_58_24 = all_52_8
% 171.71/26.38    (91)   ~ (all_52_12 = all_52_14)
% 171.71/26.38    (92)   ~ (all_52_9 = all_52_11)
% 171.71/26.38    (93)  all_58_22 = all_52_6
% 171.71/26.38    (94)   ~ (all_52_4 = all_52_12)
% 171.71/26.38    (95)  all_56_3 = all_4_2
% 171.71/26.38    (96)  all_54_0 = all_6_2
% 171.71/26.38    (97)   ~ (all_52_14 = all_10_2)
% 171.71/26.38    (98)   ~ (all_52_11 = e0)
% 171.71/26.38    (99)   ~ (all_52_1 = e0)
% 171.71/26.38    (100)   ~ (all_52_4 = all_52_8)
% 171.71/26.38    (101)   ~ (all_52_14 = all_14_2)
% 171.71/26.38    (102)  all_58_25 = all_52_9
% 171.71/26.38    (103)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.38             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.38    (104)   ~ (all_52_2 = all_52_14)
% 171.71/26.38    (105)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.71/26.38    (106)  all_58_21 = all_4_2
% 171.71/26.38    (107)  all_56_10 = all_52_13
% 171.71/26.38    (108)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.71/26.38    (109)   ~ (e2 = e0)
% 171.71/26.38    (110)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 171.71/26.38    (111)  all_8_1 = all_6_1
% 171.71/26.38    (112)  all_58_28 = all_52_12
% 171.71/26.38    (113)   ~ (e1 = e0)
% 171.71/26.38    (114)  all_54_4 = all_52_1
% 171.71/26.38    (115)  all_56_7 = all_52_6
% 171.71/26.38    (116)  all_54_5 = all_4_2
% 171.71/26.38    (117)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 171.71/26.38    (118)   ~ (all_52_2 = all_10_2)
% 171.71/26.38    (119)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 171.71/26.38    (120)   ~ (all_52_12 = all_52_13)
% 171.71/26.38  
% 171.71/26.38  Begin of proof
% 171.71/26.38  | 
% 171.71/26.38  | BETA: splitting (81) gives:
% 171.71/26.38  | 
% 171.71/26.38  | Case 1:
% 171.71/26.38  | | 
% 171.71/26.38  | |   (121)  all_56_6 = e0
% 171.71/26.38  | | 
% 171.71/26.38  | | COMBINE_EQS: (87), (121) imply:
% 171.71/26.38  | |   (122)  all_52_2 = e0
% 171.71/26.38  | | 
% 171.71/26.38  | | REDUCE: (50), (122) imply:
% 171.71/26.38  | |   (123)  $false
% 171.71/26.38  | | 
% 171.71/26.38  | | CLOSE: (123) is inconsistent.
% 171.71/26.38  | | 
% 171.71/26.38  | Case 2:
% 171.71/26.38  | | 
% 171.71/26.38  | |   (124)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 171.71/26.38  | | 
% 171.71/26.38  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 171.71/26.38  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 171.71/26.38  | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 171.71/26.38  | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (44), (45),
% 171.71/26.38  | |            (46), (47), (48), (49), (51), (52), (53), (54), (55), (56), (57),
% 171.71/26.38  | |            (58), (59), (60), (61), (62), (63), (64), (65), (66), (67), (68),
% 171.71/26.38  | |            (69), (70), (71), (72), (73), (74), (75), (76), (77), (78), (79),
% 171.71/26.38  | |            (80), (82), (83), (84), (85), (86), (87), (88), (89), (90), (91),
% 171.71/26.38  | |            (92), (93), (94), (95), (96), (97), (98), (99), (100), (101),
% 171.71/26.38  | |            (102), (103), (104), (105), (106), (107), (108), (109), (110),
% 171.71/26.38  | |            (111), (112), (113), (114), (115), (116), (117), (118), (119),
% 171.71/26.38  | |            (120), (124) are inconsistent by sub-proof #206.
% 171.71/26.38  | | 
% 171.71/26.38  | End of split
% 171.71/26.38  | 
% 171.71/26.38  End of proof
% 171.71/26.38  
% 171.71/26.38  Sub-proof #206 shows that the following formulas are inconsistent:
% 171.71/26.38  ----------------------------------------------------------------
% 171.71/26.38    (1)   ~ (all_52_12 = all_14_2)
% 171.71/26.38    (2)  all_54_8 = all_52_2
% 171.71/26.38    (3)  all_56_1 = all_52_4
% 171.71/26.38    (4)  op(e1, e3) = all_52_2
% 171.71/26.38    (5)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.71/26.38    (6)   ~ (all_10_2 = e0)
% 171.71/26.38    (7)   ~ (all_52_8 = all_52_12)
% 171.71/26.38    (8)  all_58_23 = all_52_7
% 171.71/26.38    (9)   ~ (all_52_2 = all_6_2)
% 171.71/26.38    (10)  all_8_2 = all_6_2
% 171.71/26.38    (11)   ~ (all_52_4 = all_4_2)
% 171.71/26.38    (12)  all_56_5 = all_52_9
% 171.71/26.38    (13)  op(all_6_2, e3) = all_6_1
% 171.71/26.38    (14)   ~ (all_52_12 = all_6_2)
% 171.71/26.38    (15)   ~ (all_52_6 = all_4_2)
% 171.71/26.38    (16)  all_56_15 = all_14_2
% 171.71/26.38    (17)  all_54_1 = all_52_4
% 171.71/26.38    (18)   ~ (all_52_9 = all_4_2)
% 171.71/26.38    (19)  all_56_14 = all_52_11
% 171.71/26.38    (20)   ~ (all_52_13 = all_4_2)
% 171.71/26.38    (21)  all_56_12 = e0
% 171.71/26.38    (22)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.71/26.38    (23)  all_56_8 = all_10_2
% 171.71/26.38    (24)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.71/26.38    (25)  all_58_26 = all_10_2
% 171.71/26.38    (26)   ~ (all_52_4 = all_52_6)
% 171.71/26.38    (27)  all_58_31 = all_14_2
% 171.71/26.38    (28)   ~ (all_52_11 = all_10_2)
% 171.71/26.38    (29)   ~ (all_52_1 = all_6_2)
% 171.71/26.38    (30)  all_56_11 = all_52_14
% 171.71/26.38    (31)   ~ (all_52_6 = all_52_7)
% 171.71/26.38    (32)   ~ (all_4_1 = e0)
% 171.71/26.38    (33)  all_56_0 = all_6_2
% 171.71/26.38    (34)   ~ (all_52_9 = all_10_2)
% 171.71/26.38    (35)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.71/26.38    (36)  all_58_30 = all_52_14
% 171.71/26.38    (37)  all_58_27 = all_52_11
% 171.71/26.38    (38)  all_54_14 = all_52_11
% 171.71/26.38    (39)  op(e3, e2) = all_52_4
% 171.71/26.38    (40)  op(all_4_2, e2) = all_4_1
% 171.71/26.38    (41)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 171.71/26.38    (42)  all_56_9 = all_52_12
% 171.71/26.38    (43)   ~ (all_52_2 = all_52_6)
% 171.71/26.38    (44)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 171.71/26.38    (45)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 171.71/26.38    (46)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 171.71/26.38    (47)   ~ (e3 = e2)
% 171.71/26.38    (48)   ~ (all_52_4 = all_52_7)
% 171.71/26.38    (49)   ~ (e2 = e1)
% 171.71/26.38    (50)   ~ (all_52_6 = all_10_2)
% 171.71/26.38    (51)   ~ (all_52_7 = all_14_2)
% 171.71/26.38    (52)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 171.71/26.38    (53)   ~ (all_52_13 = all_14_2)
% 171.71/26.38    (54)   ~ (all_52_1 = all_4_2)
% 171.71/26.38    (55)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.71/26.38    (56)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.71/26.38    (57)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 171.71/26.39    (58)   ~ (all_52_13 = all_52_14)
% 171.71/26.39    (59)  op(e2, e3) = all_52_1
% 171.71/26.39    (60)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.71/26.39    (61)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 171.71/26.39    (62)  all_56_13 = all_52_7
% 171.71/26.39    (63)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 171.71/26.39    (64)   ~ (all_52_8 = all_52_9)
% 171.71/26.39    (65)   ~ (all_52_4 = all_6_2)
% 171.71/26.39    (66)  all_56_2 = all_52_1
% 171.71/26.39    (67)   ~ (e3 = e0)
% 171.71/26.39    (68)  all_58_29 = all_52_13
% 171.71/26.39    (69)   ~ (all_52_1 = all_52_2)
% 171.71/26.39    (70)   ~ (all_4_2 = e0)
% 171.71/26.39    (71)   ~ (all_6_2 = e0)
% 171.71/26.39    (72)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 171.71/26.39    (73)   ~ (all_52_6 = all_52_14)
% 171.71/26.39    (74)   ~ (all_52_7 = all_4_2)
% 171.71/26.39    (75)  all_56_4 = all_52_8
% 171.71/26.39    (76)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 171.71/26.39    (77)   ~ (all_52_1 = all_52_13)
% 171.71/26.39    (78)  all_58_20 = all_52_4
% 171.71/26.39    (79)  all_54_13 = all_52_7
% 171.71/26.39    (80)   ~ (all_52_7 = all_52_11)
% 171.71/26.39    (81)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 171.71/26.39    (82)   ~ (all_52_8 = all_52_11)
% 171.71/26.39    (83)   ~ (all_52_8 = all_6_2)
% 171.71/26.39    (84)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 171.71/26.39    (85)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.71/26.39    (86)  all_56_6 = all_52_2
% 171.71/26.39    (87)   ~ (all_52_1 = all_52_9)
% 171.71/26.39    (88)   ~ (all_52_7 = e0)
% 171.71/26.39    (89)  all_58_24 = all_52_8
% 171.71/26.39    (90)   ~ (all_52_12 = all_52_14)
% 171.71/26.39    (91)   ~ (all_52_9 = all_52_11)
% 171.71/26.39    (92)  all_58_22 = all_52_6
% 171.71/26.39    (93)   ~ (all_52_4 = all_52_12)
% 171.71/26.39    (94)  all_56_3 = all_4_2
% 171.71/26.39    (95)  all_54_0 = all_6_2
% 171.71/26.39    (96)   ~ (all_52_14 = all_10_2)
% 171.71/26.39    (97)   ~ (all_52_11 = e0)
% 171.71/26.39    (98)   ~ (all_52_1 = e0)
% 171.71/26.39    (99)   ~ (all_52_4 = all_52_8)
% 171.71/26.39    (100)   ~ (all_52_14 = all_14_2)
% 171.71/26.39    (101)  all_58_25 = all_52_9
% 171.71/26.39    (102)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.39             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.39    (103)   ~ (all_52_2 = all_52_14)
% 171.71/26.39    (104)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 171.71/26.39    (105)  all_58_21 = all_4_2
% 171.71/26.39    (106)  all_56_10 = all_52_13
% 171.71/26.39    (107)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.71/26.39    (108)   ~ (e2 = e0)
% 171.71/26.39    (109)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 171.71/26.39    (110)  all_8_1 = all_6_1
% 171.71/26.39    (111)  all_58_28 = all_52_12
% 171.71/26.39    (112)   ~ (e1 = e0)
% 171.71/26.39    (113)  all_54_4 = all_52_1
% 171.71/26.39    (114)  all_56_7 = all_52_6
% 171.71/26.39    (115)  all_54_5 = all_4_2
% 171.71/26.39    (116)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 171.71/26.39    (117)   ~ (all_52_2 = all_10_2)
% 171.71/26.39    (118)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 171.71/26.39    (119)   ~ (all_52_12 = all_52_13)
% 171.71/26.39  
% 171.71/26.39  Begin of proof
% 171.71/26.39  | 
% 171.71/26.39  | BETA: splitting (63) gives:
% 171.71/26.39  | 
% 171.71/26.39  | Case 1:
% 171.71/26.39  | | 
% 171.71/26.39  | |   (120)  all_56_4 = e0
% 171.71/26.39  | | 
% 171.71/26.39  | | COMBINE_EQS: (75), (120) imply:
% 171.71/26.39  | |   (121)  all_52_8 = e0
% 171.71/26.39  | | 
% 171.71/26.39  | | COMBINE_EQS: (89), (121) imply:
% 171.71/26.39  | |   (122)  all_58_24 = e0
% 171.71/26.39  | | 
% 171.71/26.39  | | REDUCE: (99), (121) imply:
% 171.71/26.39  | |   (123)   ~ (all_52_4 = e0)
% 171.71/26.39  | | 
% 171.71/26.39  | | REDUCE: (64), (121) imply:
% 171.71/26.39  | |   (124)   ~ (all_52_9 = e0)
% 171.71/26.39  | | 
% 171.71/26.39  | | SIMP: (124) implies:
% 171.71/26.39  | |   (125)   ~ (all_52_9 = e0)
% 171.71/26.39  | | 
% 171.71/26.39  | | REDUCE: (82), (121) imply:
% 171.71/26.39  | |   (126)   ~ (all_52_11 = e0)
% 171.71/26.39  | | 
% 171.71/26.39  | | REDUCE: (83), (121) imply:
% 171.71/26.39  | |   (127)   ~ (all_6_2 = e0)
% 171.71/26.39  | | 
% 171.71/26.39  | | REF_CLOSE: (2), (3), (4), (5), (8), (9), (10), (11), (12), (13), (14), (15),
% 171.71/26.39  | |            (17), (18), (20), (21), (22), (24), (25), (26), (27), (29), (31),
% 171.71/26.39  | |            (33), (35), (36), (37), (41), (43), (45), (49), (53), (54), (55),
% 171.71/26.39  | |            (56), (59), (60), (61), (62), (65), (66), (68), (69), (70), (71),
% 171.71/26.39  | |            (72), (76), (77), (78), (81), (84), (86), (87), (88), (92), (93),
% 171.71/26.39  | |            (94), (95), (96), (97), (98), (101), (102), (103), (105), (106),
% 171.71/26.39  | |            (107), (108), (110), (111), (112), (113), (114), (116), (117),
% 171.71/26.39  | |            (119), (122), (123), (125) are inconsistent by sub-proof #216.
% 171.71/26.39  | | 
% 171.71/26.39  | Case 2:
% 171.71/26.39  | | 
% 171.71/26.39  | |   (128)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 171.71/26.39  | | 
% 171.71/26.39  | | BETA: splitting (128) gives:
% 171.71/26.39  | | 
% 171.71/26.39  | | Case 1:
% 171.71/26.39  | | | 
% 171.71/26.39  | | |   (129)  all_56_5 = e0
% 171.71/26.39  | | | 
% 171.71/26.39  | | | COMBINE_EQS: (12), (129) imply:
% 171.71/26.39  | | |   (130)  all_52_9 = e0
% 171.71/26.39  | | | 
% 171.71/26.39  | | | COMBINE_EQS: (101), (130) imply:
% 171.71/26.39  | | |   (131)  all_58_25 = e0
% 171.71/26.39  | | | 
% 171.71/26.39  | | | REDUCE: (64), (130) imply:
% 171.71/26.39  | | |   (132)   ~ (all_52_8 = e0)
% 171.71/26.39  | | | 
% 171.71/26.39  | | | REDUCE: (91), (130) imply:
% 171.71/26.39  | | |   (133)   ~ (all_52_11 = e0)
% 171.71/26.39  | | | 
% 171.71/26.39  | | | REDUCE: (34), (130) imply:
% 171.71/26.39  | | |   (134)   ~ (all_10_2 = e0)
% 171.71/26.39  | | | 
% 171.71/26.39  | | | BETA: splitting (61) gives:
% 171.71/26.39  | | | 
% 171.71/26.39  | | | Case 1:
% 171.71/26.39  | | | | 
% 171.71/26.39  | | | |   (135)  all_56_1 = e0
% 171.71/26.39  | | | | 
% 171.71/26.39  | | | | COMBINE_EQS: (3), (135) imply:
% 171.71/26.39  | | | |   (136)  all_52_4 = e0
% 171.71/26.39  | | | | 
% 171.71/26.39  | | | | COMBINE_EQS: (78), (136) imply:
% 171.71/26.39  | | | |   (137)  all_58_20 = e0
% 171.71/26.39  | | | | 
% 171.71/26.39  | | | | REDUCE: (26), (136) imply:
% 171.71/26.39  | | | |   (138)   ~ (all_52_6 = e0)
% 171.71/26.39  | | | | 
% 171.71/26.39  | | | | SIMP: (138) implies:
% 171.71/26.39  | | | |   (139)   ~ (all_52_6 = e0)
% 171.71/26.39  | | | | 
% 171.71/26.39  | | | | REDUCE: (48), (136) imply:
% 171.71/26.39  | | | |   (140)   ~ (all_52_7 = e0)
% 171.71/26.39  | | | | 
% 171.71/26.39  | | | | REDUCE: (99), (136) imply:
% 171.71/26.39  | | | |   (141)   ~ (all_52_8 = e0)
% 171.71/26.39  | | | | 
% 171.71/26.39  | | | | REDUCE: (65), (136) imply:
% 171.71/26.39  | | | |   (142)   ~ (all_6_2 = e0)
% 171.71/26.39  | | | | 
% 171.71/26.39  | | | | REDUCE: (39), (136) imply:
% 171.71/26.39  | | | |   (143)  op(e3, e2) = e0
% 171.71/26.39  | | | | 
% 171.71/26.39  | | | | BETA: splitting (46) gives:
% 171.71/26.39  | | | | 
% 171.71/26.39  | | | | Case 1:
% 171.71/26.39  | | | | | 
% 171.71/26.39  | | | | |   (144)  all_56_7 = e0
% 171.71/26.39  | | | | | 
% 171.71/26.39  | | | | | COMBINE_EQS: (114), (144) imply:
% 171.71/26.39  | | | | |   (145)  all_52_6 = e0
% 171.71/26.39  | | | | | 
% 171.71/26.39  | | | | | REDUCE: (139), (145) imply:
% 171.71/26.39  | | | | |   (146)  $false
% 171.71/26.39  | | | | | 
% 171.71/26.39  | | | | | CLOSE: (146) is inconsistent.
% 171.71/26.39  | | | | | 
% 171.71/26.39  | | | | Case 2:
% 171.71/26.39  | | | | | 
% 171.71/26.39  | | | | |   (147)  all_56_8 = e0 | all_56_11 = e0
% 171.71/26.39  | | | | | 
% 171.71/26.39  | | | | | BETA: splitting (147) gives:
% 171.71/26.39  | | | | | 
% 171.71/26.39  | | | | | Case 1:
% 171.71/26.39  | | | | | | 
% 171.71/26.39  | | | | | |   (148)  all_56_8 = e0
% 171.71/26.39  | | | | | | 
% 171.71/26.39  | | | | | | REF_CLOSE: (6), (23), (148) are inconsistent by sub-proof #916.
% 171.71/26.39  | | | | | | 
% 171.71/26.39  | | | | | Case 2:
% 171.71/26.39  | | | | | | 
% 171.71/26.39  | | | | | |   (149)  all_56_11 = e0
% 171.71/26.39  | | | | | | 
% 171.71/26.39  | | | | | | COMBINE_EQS: (30), (149) imply:
% 171.71/26.39  | | | | | |   (150)  all_52_14 = e0
% 171.71/26.39  | | | | | | 
% 171.71/26.39  | | | | | | SIMP: (150) implies:
% 171.71/26.39  | | | | | |   (151)  all_52_14 = e0
% 171.71/26.39  | | | | | | 
% 171.71/26.39  | | | | | | COMBINE_EQS: (36), (151) imply:
% 171.71/26.39  | | | | | |   (152)  all_58_30 = e0
% 171.71/26.39  | | | | | | 
% 171.71/26.39  | | | | | | REDUCE: (103), (151) imply:
% 171.71/26.39  | | | | | |   (153)   ~ (all_52_2 = e0)
% 171.71/26.39  | | | | | | 
% 171.71/26.39  | | | | | | REDUCE: (100), (151) imply:
% 171.71/26.39  | | | | | |   (154)   ~ (all_14_2 = e0)
% 171.71/26.39  | | | | | | 
% 171.71/26.39  | | | | | | SIMP: (154) implies:
% 171.71/26.39  | | | | | |   (155)   ~ (all_14_2 = e0)
% 171.71/26.39  | | | | | | 
% 171.71/26.39  | | | | | | BETA: splitting (72) gives:
% 171.71/26.39  | | | | | | 
% 171.71/26.39  | | | | | | Case 1:
% 171.71/26.39  | | | | | | | 
% 171.71/26.39  | | | | | | |   (156)  all_54_8 = e0
% 171.71/26.39  | | | | | | | 
% 171.71/26.39  | | | | | | | REF_CLOSE: (2), (153), (156) are inconsistent by sub-proof #839.
% 171.71/26.39  | | | | | | | 
% 171.71/26.39  | | | | | | Case 2:
% 171.71/26.39  | | | | | | | 
% 171.71/26.39  | | | | | | |   (157)   ~ (all_54_8 = e0)
% 171.71/26.39  | | | | | | |   (158)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 171.71/26.39  | | | | | | | 
% 171.71/26.39  | | | | | | | BETA: splitting (5) gives:
% 171.71/26.39  | | | | | | | 
% 171.71/26.39  | | | | | | | Case 1:
% 171.71/26.39  | | | | | | | | 
% 171.71/26.39  | | | | | | | |   (159)  all_54_0 = e0
% 171.71/26.39  | | | | | | | | 
% 171.71/26.39  | | | | | | | | REF_CLOSE: (71), (95), (159) are inconsistent by sub-proof #984.
% 171.71/26.39  | | | | | | | | 
% 171.71/26.39  | | | | | | | Case 2:
% 171.71/26.39  | | | | | | | | 
% 171.71/26.39  | | | | | | | |   (160)   ~ (all_54_0 = e0)
% 171.71/26.39  | | | | | | | |   (161)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 171.71/26.39  | | | | | | | | 
% 171.71/26.39  | | | | | | | | BETA: splitting (35) gives:
% 171.71/26.39  | | | | | | | | 
% 171.71/26.39  | | | | | | | | Case 1:
% 171.71/26.39  | | | | | | | | | 
% 171.71/26.39  | | | | | | | | |   (162)  all_58_27 = e0
% 171.71/26.39  | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | COMBINE_EQS: (37), (162) imply:
% 171.71/26.39  | | | | | | | | |   (163)  all_52_11 = e0
% 171.71/26.39  | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | REDUCE: (97), (163) imply:
% 171.71/26.39  | | | | | | | | |   (164)  $false
% 171.71/26.39  | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | CLOSE: (164) is inconsistent.
% 171.71/26.39  | | | | | | | | | 
% 171.71/26.39  | | | | | | | | Case 2:
% 171.71/26.39  | | | | | | | | | 
% 171.71/26.39  | | | | | | | | |   (165)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 171.71/26.39  | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | BETA: splitting (24) gives:
% 171.71/26.39  | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | Case 1:
% 171.71/26.39  | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | |   (166)  all_58_31 = e0
% 171.71/26.39  | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | COMBINE_EQS: (27), (166) imply:
% 171.71/26.39  | | | | | | | | | |   (167)  all_14_2 = e0
% 171.71/26.39  | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | REDUCE: (155), (167) imply:
% 171.71/26.39  | | | | | | | | | |   (168)  $false
% 171.71/26.39  | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | CLOSE: (168) is inconsistent.
% 171.71/26.39  | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | Case 2:
% 171.71/26.39  | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | |   (169)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 171.71/26.39  | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | BETA: splitting (81) gives:
% 171.71/26.39  | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | Case 1:
% 171.71/26.39  | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | |   (170)  all_58_23 = e0
% 171.71/26.39  | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | COMBINE_EQS: (8), (170) imply:
% 171.71/26.39  | | | | | | | | | | |   (171)  all_52_7 = e0
% 171.71/26.39  | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | REDUCE: (88), (171) imply:
% 171.71/26.39  | | | | | | | | | | |   (172)  $false
% 171.71/26.39  | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | CLOSE: (172) is inconsistent.
% 171.71/26.39  | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | Case 2:
% 171.71/26.39  | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | |   (173)   ~ (all_58_23 = e0)
% 171.71/26.39  | | | | | | | | | | |   (174)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 171.71/26.39  | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | BETA: splitting (107) gives:
% 171.71/26.39  | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | Case 1:
% 171.71/26.39  | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | |   (175)  all_56_2 = e1
% 171.71/26.39  | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | COMBINE_EQS: (66), (175) imply:
% 171.71/26.39  | | | | | | | | | | | |   (176)  all_52_1 = e1
% 171.71/26.39  | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | REDUCE: (69), (176) imply:
% 171.71/26.39  | | | | | | | | | | | |   (177)   ~ (all_52_2 = e1)
% 171.71/26.39  | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | SIMP: (177) implies:
% 171.71/26.39  | | | | | | | | | | | |   (178)   ~ (all_52_2 = e1)
% 171.71/26.39  | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | REDUCE: (29), (176) imply:
% 171.71/26.39  | | | | | | | | | | | |   (179)   ~ (all_6_2 = e1)
% 171.71/26.39  | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | SIMP: (179) implies:
% 171.71/26.39  | | | | | | | | | | | |   (180)   ~ (all_6_2 = e1)
% 171.71/26.39  | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | REDUCE: (59), (176) imply:
% 171.71/26.39  | | | | | | | | | | | |   (181)  op(e2, e3) = e1
% 171.71/26.39  | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | BETA: splitting (60) gives:
% 171.71/26.39  | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | Case 1:
% 171.71/26.39  | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | |   (182)  all_56_0 = e2
% 171.71/26.39  | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | REF_CLOSE: (2), (9), (13), (33), (45), (95), (102), (158),
% 171.71/26.39  | | | | | | | | | | | | |            (161), (178), (180), (181), (182) are inconsistent
% 171.71/26.39  | | | | | | | | | | | | |            by sub-proof #218.
% 171.71/26.39  | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | Case 2:
% 171.71/26.39  | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | |   (183)   ~ (all_56_0 = e2)
% 171.71/26.39  | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | REDUCE: (33), (183) imply:
% 171.71/26.39  | | | | | | | | | | | | |   (184)   ~ (all_6_2 = e2)
% 171.71/26.39  | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | BETA: splitting (161) gives:
% 171.71/26.39  | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | Case 1:
% 171.71/26.39  | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | |   (185)  all_54_0 = e1
% 171.71/26.39  | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | REF_CLOSE: (95), (180), (185) are inconsistent by sub-proof
% 171.71/26.39  | | | | | | | | | | | | | |            #951.
% 171.71/26.39  | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | Case 2:
% 171.71/26.39  | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | |   (186)  all_54_0 = e3 | all_54_0 = e2
% 171.71/26.39  | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 171.71/26.39  | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | Case 1:
% 171.71/26.39  | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | |   (187)  all_54_0 = e2
% 171.71/26.39  | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | REF_CLOSE: (95), (184), (187) are inconsistent by sub-proof
% 171.71/26.39  | | | | | | | | | | | | | | |            #946.
% 171.71/26.39  | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | Case 2:
% 171.71/26.39  | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | |   (188)  all_54_0 = e3
% 171.71/26.39  | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | COMBINE_EQS: (95), (188) imply:
% 171.71/26.39  | | | | | | | | | | | | | | |   (189)  all_6_2 = e3
% 171.71/26.39  | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | SIMP: (189) implies:
% 171.71/26.39  | | | | | | | | | | | | | | |   (190)  all_6_2 = e3
% 171.71/26.39  | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | REDUCE: (83), (190) imply:
% 171.71/26.39  | | | | | | | | | | | | | | |   (191)   ~ (all_52_8 = e3)
% 171.71/26.39  | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | REDUCE: (14), (190) imply:
% 171.71/26.39  | | | | | | | | | | | | | | |   (192)   ~ (all_52_12 = e3)
% 171.71/26.39  | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 171.71/26.39  | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | Case 1:
% 171.71/26.39  | | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | |   (193)  all_58_26 = e1
% 171.71/26.39  | | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | | COMBINE_EQS: (25), (193) imply:
% 171.71/26.39  | | | | | | | | | | | | | | | |   (194)  all_10_2 = e1
% 171.71/26.39  | | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | | REDUCE: (50), (194) imply:
% 171.71/26.39  | | | | | | | | | | | | | | | |   (195)   ~ (all_52_6 = e1)
% 171.71/26.39  | | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 171.71/26.39  | | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | | Case 1:
% 171.71/26.39  | | | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | | |   (196)  all_58_30 = e1
% 171.71/26.39  | | | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (152), (196) are inconsistent by sub-proof
% 171.71/26.39  | | | | | | | | | | | | | | | | |            #838.
% 171.71/26.39  | | | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | | Case 2:
% 171.71/26.39  | | | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | | |   (197)  all_58_28 = e3 | all_58_29 = e2
% 171.71/26.39  | | | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 171.71/26.39  | | | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | | | Case 1:
% 171.71/26.39  | | | | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | | | |   (198)  all_58_29 = e2
% 171.71/26.39  | | | | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (68), (198) imply:
% 171.71/26.39  | | | | | | | | | | | | | | | | | |   (199)  all_52_13 = e2
% 171.71/26.39  | | | | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | | | | REDUCE: (20), (199) imply:
% 171.71/26.39  | | | | | | | | | | | | | | | | | |   (200)   ~ (all_4_2 = e2)
% 171.71/26.39  | | | | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | | | | SIMP: (200) implies:
% 171.71/26.39  | | | | | | | | | | | | | | | | | |   (201)   ~ (all_4_2 = e2)
% 171.71/26.39  | | | | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | | | | REF_CLOSE: (67), (92), (105), (137), (174), (195), (201) are
% 171.71/26.39  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #436.
% 171.71/26.39  | | | | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | | | Case 2:
% 171.71/26.39  | | | | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | | | |   (202)  all_58_28 = e3
% 171.71/26.39  | | | | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (111), (202) imply:
% 171.71/26.39  | | | | | | | | | | | | | | | | | |   (203)  all_52_12 = e3
% 171.71/26.39  | | | | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | | | | REDUCE: (192), (203) imply:
% 171.71/26.39  | | | | | | | | | | | | | | | | | |   (204)  $false
% 171.71/26.39  | | | | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | | | | CLOSE: (204) is inconsistent.
% 171.71/26.39  | | | | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | | | End of split
% 171.71/26.39  | | | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | | End of split
% 171.71/26.39  | | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | Case 2:
% 171.71/26.39  | | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | |   (205)  all_58_24 = e3 | all_58_25 = e2
% 171.71/26.39  | | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | | REF_CLOSE: (89), (108), (131), (191), (205) are inconsistent
% 171.71/26.39  | | | | | | | | | | | | | | | |            by sub-proof #849.
% 171.71/26.39  | | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | | End of split
% 171.71/26.39  | | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | End of split
% 171.71/26.39  | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | End of split
% 171.71/26.39  | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | End of split
% 171.71/26.39  | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | Case 2:
% 171.71/26.39  | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | |   (206)   ~ (all_56_2 = e1)
% 171.71/26.39  | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | REDUCE: (66), (206) imply:
% 171.71/26.39  | | | | | | | | | | | |   (207)   ~ (all_52_1 = e1)
% 171.71/26.39  | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | BETA: splitting (55) gives:
% 171.71/26.39  | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | Case 1:
% 171.71/26.39  | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | |   (208)  all_56_0 = e1
% 171.71/26.39  | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | COMBINE_EQS: (33), (208) imply:
% 171.71/26.39  | | | | | | | | | | | | |   (209)  all_6_2 = e1
% 171.71/26.39  | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | COMBINE_EQS: (10), (209) imply:
% 171.71/26.39  | | | | | | | | | | | | |   (210)  all_8_2 = e1
% 171.71/26.39  | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | REDUCE: (13), (209) imply:
% 171.71/26.39  | | | | | | | | | | | | |   (211)  op(e1, e3) = all_6_1
% 171.71/26.39  | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | REF_CLOSE: (4), (8), (15), (21), (32), (40), (47), (49),
% 171.71/26.39  | | | | | | | | | | | | |            (54), (60), (66), (67), (81), (86), (88), (92),
% 171.71/26.39  | | | | | | | | | | | | |            (94), (102), (104), (105), (108), (110), (115),
% 171.71/26.39  | | | | | | | | | | | | |            (116), (118), (137), (143), (208), (210), (211)
% 171.71/26.39  | | | | | | | | | | | | |            are inconsistent by sub-proof #215.
% 171.71/26.39  | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | Case 2:
% 171.71/26.39  | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | |   (212)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.71/26.39  | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | BETA: splitting (212) gives:
% 171.71/26.39  | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | Case 1:
% 171.71/26.39  | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | |   (213)  all_56_2 = e1
% 171.71/26.39  | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | COMBINE_EQS: (66), (213) imply:
% 171.71/26.39  | | | | | | | | | | | | | |   (214)  all_52_1 = e1
% 171.71/26.39  | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | REDUCE: (207), (214) imply:
% 171.71/26.39  | | | | | | | | | | | | | |   (215)  $false
% 171.71/26.39  | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | CLOSE: (215) is inconsistent.
% 171.71/26.39  | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | Case 2:
% 171.71/26.39  | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | |   (216)  all_56_6 = e1 | all_56_12 = e1
% 171.71/26.39  | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | | REF_CLOSE: (7), (20), (21), (25), (43), (68), (86), (89),
% 171.71/26.39  | | | | | | | | | | | | | |            (92), (105), (108), (111), (112), (117), (131),
% 171.71/26.39  | | | | | | | | | | | | | |            (132), (137), (152), (153), (165), (169), (174),
% 171.71/26.39  | | | | | | | | | | | | | |            (216) are inconsistent by sub-proof #213.
% 171.71/26.39  | | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | | End of split
% 171.71/26.39  | | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | | End of split
% 171.71/26.39  | | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | | End of split
% 171.71/26.39  | | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | | End of split
% 171.71/26.39  | | | | | | | | | | 
% 171.71/26.39  | | | | | | | | | End of split
% 171.71/26.39  | | | | | | | | | 
% 171.71/26.39  | | | | | | | | End of split
% 171.71/26.39  | | | | | | | | 
% 171.71/26.39  | | | | | | | End of split
% 171.71/26.39  | | | | | | | 
% 171.71/26.39  | | | | | | End of split
% 171.71/26.39  | | | | | | 
% 171.71/26.39  | | | | | End of split
% 171.71/26.39  | | | | | 
% 171.71/26.39  | | | | End of split
% 171.71/26.39  | | | | 
% 171.71/26.39  | | | Case 2:
% 171.71/26.39  | | | | 
% 171.71/26.39  | | | |   (217)   ~ (all_56_1 = e0)
% 171.71/26.39  | | | | 
% 171.71/26.39  | | | | REDUCE: (3), (217) imply:
% 171.71/26.39  | | | |   (218)   ~ (all_52_4 = e0)
% 171.71/26.39  | | | | 
% 171.71/26.39  | | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13),
% 171.71/26.39  | | | |            (14), (15), (16), (17), (21), (22), (23), (24), (25), (26),
% 171.71/26.39  | | | |            (27), (28), (29), (30), (31), (33), (35), (36), (37), (38),
% 171.71/26.39  | | | |            (42), (44), (45), (46), (47), (49), (51), (52), (54), (55),
% 171.71/26.39  | | | |            (56), (57), (58), (59), (60), (65), (66), (67), (68), (69),
% 171.71/26.39  | | | |            (71), (73), (74), (75), (77), (78), (79), (80), (81), (82),
% 171.71/26.39  | | | |            (83), (84), (85), (86), (89), (90), (92), (94), (95), (96),
% 171.71/26.39  | | | |            (97), (98), (99), (102), (105), (106), (107), (108), (109),
% 171.71/26.39  | | | |            (110), (111), (112), (113), (114), (116), (117), (129),
% 171.71/26.39  | | | |            (131), (132), (218) are inconsistent by sub-proof #207.
% 171.71/26.39  | | | | 
% 171.71/26.39  | | | End of split
% 171.71/26.39  | | | 
% 171.71/26.39  | | Case 2:
% 171.71/26.39  | | | 
% 171.71/26.39  | | |   (219)  all_56_8 = e0 | all_56_14 = e0
% 171.71/26.39  | | | 
% 171.71/26.39  | | | REF_CLOSE: (6), (19), (23), (97), (219) are inconsistent by sub-proof
% 171.71/26.39  | | |            #914.
% 171.71/26.39  | | | 
% 171.71/26.39  | | End of split
% 171.71/26.39  | | 
% 171.71/26.39  | End of split
% 171.71/26.39  | 
% 171.71/26.39  End of proof
% 171.71/26.39  
% 171.71/26.39  Sub-proof #207 shows that the following formulas are inconsistent:
% 171.71/26.39  ----------------------------------------------------------------
% 171.71/26.39    (1)   ~ (all_52_12 = all_14_2)
% 171.71/26.39    (2)  all_56_1 = all_52_4
% 171.71/26.39    (3)  op(e1, e3) = all_52_2
% 171.71/26.39    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.71/26.39    (5)   ~ (all_10_2 = e0)
% 171.71/26.39    (6)   ~ (all_52_8 = all_52_12)
% 171.71/26.39    (7)  all_58_23 = all_52_7
% 171.71/26.39    (8)   ~ (all_52_2 = all_6_2)
% 171.71/26.39    (9)  all_8_2 = all_6_2
% 171.71/26.39    (10)   ~ (all_52_4 = all_4_2)
% 171.71/26.39    (11)  op(all_6_2, e3) = all_6_1
% 171.71/26.39    (12)   ~ (all_52_12 = all_6_2)
% 171.71/26.39    (13)   ~ (all_52_6 = all_4_2)
% 171.71/26.39    (14)  all_56_15 = all_14_2
% 171.71/26.39    (15)  all_54_1 = all_52_4
% 171.71/26.39    (16)  all_56_12 = e0
% 171.71/26.39    (17)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.71/26.39    (18)  all_56_8 = all_10_2
% 171.71/26.39    (19)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.71/26.39    (20)  all_58_26 = all_10_2
% 171.71/26.39    (21)   ~ (all_52_4 = all_52_6)
% 171.71/26.39    (22)  all_58_31 = all_14_2
% 171.71/26.39    (23)   ~ (all_52_11 = all_10_2)
% 171.71/26.39    (24)  all_58_25 = e0
% 171.71/26.39    (25)   ~ (all_52_4 = e0)
% 171.71/26.39    (26)   ~ (all_52_1 = all_6_2)
% 171.71/26.39    (27)  all_56_11 = all_52_14
% 171.71/26.39    (28)   ~ (all_52_6 = all_52_7)
% 171.71/26.39    (29)  all_56_0 = all_6_2
% 171.71/26.39    (30)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 171.71/26.39    (31)  all_58_30 = all_52_14
% 171.71/26.39    (32)  all_58_27 = all_52_11
% 171.71/26.39    (33)  all_54_14 = all_52_11
% 171.71/26.39    (34)  all_56_9 = all_52_12
% 171.71/26.39    (35)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 171.71/26.39    (36)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 171.71/26.39    (37)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 171.71/26.39    (38)   ~ (e3 = e2)
% 171.71/26.39    (39)   ~ (e2 = e1)
% 171.71/26.39    (40)   ~ (all_52_7 = all_14_2)
% 171.71/26.39    (41)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 171.71/26.39    (42)   ~ (all_52_1 = all_4_2)
% 171.71/26.39    (43)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 171.71/26.39    (44)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 171.71/26.39    (45)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 171.71/26.39    (46)   ~ (all_52_13 = all_52_14)
% 171.71/26.39    (47)  op(e2, e3) = all_52_1
% 171.71/26.39    (48)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 171.71/26.39    (49)   ~ (all_52_4 = all_6_2)
% 171.71/26.39    (50)  all_56_2 = all_52_1
% 171.71/26.39    (51)   ~ (e3 = e0)
% 171.71/26.39    (52)  all_58_29 = all_52_13
% 171.71/26.39    (53)   ~ (all_52_1 = all_52_2)
% 171.71/26.39    (54)   ~ (all_6_2 = e0)
% 171.71/26.39    (55)   ~ (all_52_6 = all_52_14)
% 171.71/26.39    (56)   ~ (all_52_7 = all_4_2)
% 171.71/26.39    (57)  all_56_4 = all_52_8
% 171.71/26.39    (58)   ~ (all_52_1 = all_52_13)
% 171.71/26.39    (59)  all_58_20 = all_52_4
% 171.71/26.39    (60)  all_54_13 = all_52_7
% 171.71/26.39    (61)   ~ (all_52_7 = all_52_11)
% 171.71/26.39    (62)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 171.71/26.39    (63)   ~ (all_52_8 = all_52_11)
% 171.71/26.39    (64)   ~ (all_52_8 = all_6_2)
% 171.71/26.39    (65)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 171.71/26.40    (66)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.71/26.40    (67)  all_56_6 = all_52_2
% 171.71/26.40    (68)  all_58_24 = all_52_8
% 171.71/26.40    (69)   ~ (all_52_12 = all_52_14)
% 171.71/26.40    (70)  all_58_22 = all_52_6
% 171.71/26.40    (71)  all_56_3 = all_4_2
% 171.71/26.40    (72)  all_54_0 = all_6_2
% 171.71/26.40    (73)   ~ (all_52_14 = all_10_2)
% 171.71/26.40    (74)   ~ (all_52_11 = e0)
% 171.71/26.40    (75)   ~ (all_52_1 = e0)
% 171.71/26.40    (76)   ~ (all_52_4 = all_52_8)
% 171.71/26.40    (77)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 171.71/26.40            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 171.71/26.40    (78)  all_58_21 = all_4_2
% 171.71/26.40    (79)  all_56_10 = all_52_13
% 171.71/26.40    (80)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 171.71/26.40    (81)   ~ (e2 = e0)
% 171.71/26.40    (82)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 171.71/26.40    (83)  all_8_1 = all_6_1
% 171.71/26.40    (84)  all_58_28 = all_52_12
% 171.71/26.40    (85)   ~ (e1 = e0)
% 171.71/26.40    (86)  all_54_4 = all_52_1
% 171.71/26.40    (87)  all_56_5 = e0
% 171.71/26.40    (88)  all_56_7 = all_52_6
% 171.71/26.40    (89)   ~ (all_52_8 = e0)
% 171.71/26.40    (90)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 171.71/26.40    (91)   ~ (all_52_2 = all_10_2)
% 171.71/26.40  
% 171.71/26.40  Begin of proof
% 171.71/26.40  | 
% 171.71/26.40  | BETA: splitting (66) gives:
% 171.71/26.40  | 
% 171.71/26.40  | Case 1:
% 171.71/26.40  | | 
% 171.71/26.40  | |   (92)  all_56_0 = e0
% 171.71/26.40  | | 
% 171.71/26.40  | | COMBINE_EQS: (29), (92) imply:
% 171.71/26.40  | |   (93)  all_6_2 = e0
% 171.71/26.40  | | 
% 171.71/26.40  | | REDUCE: (54), (93) imply:
% 171.71/26.40  | |   (94)  $false
% 171.71/26.40  | | 
% 171.71/26.40  | | CLOSE: (94) is inconsistent.
% 171.71/26.40  | | 
% 171.71/26.40  | Case 2:
% 171.71/26.40  | | 
% 171.71/26.40  | |   (95)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 171.71/26.40  | | 
% 171.71/26.40  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 171.71/26.40  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 171.71/26.40  | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 171.71/26.40  | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (44), (45),
% 171.71/26.40  | |            (46), (47), (48), (49), (50), (51), (52), (53), (55), (56), (57),
% 171.71/26.40  | |            (58), (59), (60), (61), (62), (63), (64), (65), (67), (68), (69),
% 171.71/26.40  | |            (70), (71), (72), (73), (74), (75), (76), (77), (78), (79), (80),
% 171.71/26.40  | |            (81), (82), (83), (84), (85), (86), (87), (88), (89), (90), (91),
% 171.71/26.40  | |            (95) are inconsistent by sub-proof #208.
% 171.71/26.40  | | 
% 171.71/26.40  | End of split
% 171.71/26.40  | 
% 171.71/26.40  End of proof
% 171.71/26.40  
% 171.71/26.40  Sub-proof #208 shows that the following formulas are inconsistent:
% 171.71/26.40  ----------------------------------------------------------------
% 171.71/26.40    (1)   ~ (all_52_12 = all_14_2)
% 171.71/26.40    (2)  all_56_1 = all_52_4
% 171.71/26.40    (3)  op(e1, e3) = all_52_2
% 171.71/26.40    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 171.71/26.40    (5)   ~ (all_10_2 = e0)
% 171.71/26.40    (6)   ~ (all_52_8 = all_52_12)
% 171.71/26.40    (7)  all_58_23 = all_52_7
% 171.71/26.40    (8)   ~ (all_52_2 = all_6_2)
% 171.71/26.40    (9)  all_8_2 = all_6_2
% 171.71/26.40    (10)   ~ (all_52_4 = all_4_2)
% 171.71/26.40    (11)  op(all_6_2, e3) = all_6_1
% 171.71/26.40    (12)   ~ (all_52_12 = all_6_2)
% 171.71/26.40    (13)   ~ (all_52_6 = all_4_2)
% 171.71/26.40    (14)  all_56_15 = all_14_2
% 171.71/26.40    (15)  all_54_1 = all_52_4
% 171.71/26.40    (16)  all_56_12 = e0
% 171.71/26.40    (17)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 171.71/26.40    (18)  all_56_8 = all_10_2
% 171.71/26.40    (19)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 171.71/26.40    (20)  all_58_26 = all_10_2
% 171.71/26.40    (21)   ~ (all_52_4 = all_52_6)
% 172.06/26.40    (22)  all_58_31 = all_14_2
% 172.06/26.40    (23)   ~ (all_52_11 = all_10_2)
% 172.06/26.40    (24)  all_58_25 = e0
% 172.06/26.40    (25)   ~ (all_52_4 = e0)
% 172.06/26.40    (26)   ~ (all_52_1 = all_6_2)
% 172.06/26.40    (27)  all_56_11 = all_52_14
% 172.06/26.40    (28)   ~ (all_52_6 = all_52_7)
% 172.06/26.40    (29)  all_56_0 = all_6_2
% 172.06/26.40    (30)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.06/26.40    (31)  all_58_30 = all_52_14
% 172.06/26.40    (32)  all_58_27 = all_52_11
% 172.06/26.40    (33)  all_54_14 = all_52_11
% 172.06/26.40    (34)  all_56_9 = all_52_12
% 172.06/26.40    (35)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 172.06/26.40    (36)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 172.06/26.40    (37)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 172.06/26.40    (38)   ~ (e3 = e2)
% 172.06/26.40    (39)   ~ (e2 = e1)
% 172.06/26.40    (40)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 172.06/26.40    (41)   ~ (all_52_7 = all_14_2)
% 172.06/26.40    (42)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.06/26.40    (43)   ~ (all_52_1 = all_4_2)
% 172.06/26.40    (44)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.06/26.40    (45)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.06/26.40    (46)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.06/26.40    (47)   ~ (all_52_13 = all_52_14)
% 172.06/26.40    (48)  op(e2, e3) = all_52_1
% 172.06/26.40    (49)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.06/26.40    (50)   ~ (all_52_4 = all_6_2)
% 172.06/26.40    (51)  all_56_2 = all_52_1
% 172.06/26.40    (52)   ~ (e3 = e0)
% 172.06/26.40    (53)  all_58_29 = all_52_13
% 172.06/26.40    (54)   ~ (all_52_1 = all_52_2)
% 172.06/26.40    (55)   ~ (all_52_6 = all_52_14)
% 172.06/26.40    (56)   ~ (all_52_7 = all_4_2)
% 172.06/26.40    (57)  all_56_4 = all_52_8
% 172.06/26.40    (58)   ~ (all_52_1 = all_52_13)
% 172.06/26.40    (59)  all_58_20 = all_52_4
% 172.06/26.40    (60)  all_54_13 = all_52_7
% 172.06/26.40    (61)   ~ (all_52_7 = all_52_11)
% 172.06/26.40    (62)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.06/26.40    (63)   ~ (all_52_8 = all_52_11)
% 172.06/26.40    (64)   ~ (all_52_8 = all_6_2)
% 172.06/26.40    (65)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 172.06/26.40    (66)  all_56_6 = all_52_2
% 172.06/26.40    (67)  all_58_24 = all_52_8
% 172.06/26.40    (68)   ~ (all_52_12 = all_52_14)
% 172.06/26.40    (69)  all_58_22 = all_52_6
% 172.06/26.40    (70)  all_56_3 = all_4_2
% 172.06/26.40    (71)  all_54_0 = all_6_2
% 172.06/26.40    (72)   ~ (all_52_14 = all_10_2)
% 172.06/26.40    (73)   ~ (all_52_11 = e0)
% 172.06/26.40    (74)   ~ (all_52_1 = e0)
% 172.06/26.40    (75)   ~ (all_52_4 = all_52_8)
% 172.06/26.40    (76)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.06/26.40            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.06/26.40    (77)  all_58_21 = all_4_2
% 172.06/26.40    (78)  all_56_10 = all_52_13
% 172.06/26.40    (79)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.06/26.40    (80)   ~ (e2 = e0)
% 172.06/26.40    (81)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 172.06/26.40    (82)  all_8_1 = all_6_1
% 172.06/26.40    (83)  all_58_28 = all_52_12
% 172.06/26.40    (84)   ~ (e1 = e0)
% 172.06/26.40    (85)  all_54_4 = all_52_1
% 172.06/26.40    (86)  all_56_5 = e0
% 172.06/26.40    (87)  all_56_7 = all_52_6
% 172.06/26.40    (88)   ~ (all_52_8 = e0)
% 172.06/26.40    (89)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 172.06/26.40    (90)   ~ (all_52_2 = all_10_2)
% 172.06/26.40  
% 172.06/26.40  Begin of proof
% 172.06/26.40  | 
% 172.06/26.40  | BETA: splitting (40) gives:
% 172.06/26.40  | 
% 172.06/26.40  | Case 1:
% 172.06/26.40  | | 
% 172.06/26.40  | |   (91)  all_56_1 = e0
% 172.06/26.40  | | 
% 172.06/26.40  | | COMBINE_EQS: (2), (91) imply:
% 172.06/26.40  | |   (92)  all_52_4 = e0
% 172.06/26.40  | | 
% 172.06/26.40  | | REDUCE: (25), (92) imply:
% 172.06/26.40  | |   (93)  $false
% 172.06/26.40  | | 
% 172.06/26.40  | | CLOSE: (93) is inconsistent.
% 172.06/26.40  | | 
% 172.06/26.40  | Case 2:
% 172.06/26.40  | | 
% 172.06/26.40  | |   (94)  all_56_4 = e0 | all_56_9 = e0
% 172.06/26.40  | | 
% 172.06/26.40  | | BETA: splitting (94) gives:
% 172.06/26.40  | | 
% 172.06/26.40  | | Case 1:
% 172.06/26.40  | | | 
% 172.06/26.40  | | |   (95)  all_56_4 = e0
% 172.06/26.40  | | | 
% 172.06/26.40  | | | COMBINE_EQS: (57), (95) imply:
% 172.06/26.40  | | |   (96)  all_52_8 = e0
% 172.06/26.40  | | | 
% 172.06/26.40  | | | REDUCE: (88), (96) imply:
% 172.06/26.40  | | |   (97)  $false
% 172.06/26.40  | | | 
% 172.06/26.40  | | | CLOSE: (97) is inconsistent.
% 172.06/26.40  | | | 
% 172.06/26.40  | | Case 2:
% 172.06/26.40  | | | 
% 172.06/26.40  | | |   (98)  all_56_9 = e0
% 172.06/26.40  | | | 
% 172.06/26.40  | | | COMBINE_EQS: (34), (98) imply:
% 172.06/26.40  | | |   (99)  all_52_12 = e0
% 172.06/26.40  | | | 
% 172.06/26.40  | | | SIMP: (99) implies:
% 172.06/26.40  | | |   (100)  all_52_12 = e0
% 172.06/26.40  | | | 
% 172.06/26.40  | | | COMBINE_EQS: (83), (100) imply:
% 172.06/26.40  | | |   (101)  all_58_28 = e0
% 172.06/26.40  | | | 
% 172.06/26.40  | | | REDUCE: (68), (100) imply:
% 172.06/26.40  | | |   (102)   ~ (all_52_14 = e0)
% 172.06/26.40  | | | 
% 172.06/26.40  | | | SIMP: (102) implies:
% 172.06/26.40  | | |   (103)   ~ (all_52_14 = e0)
% 172.06/26.40  | | | 
% 172.06/26.40  | | | REDUCE: (1), (100) imply:
% 172.06/26.40  | | |   (104)   ~ (all_14_2 = e0)
% 172.06/26.40  | | | 
% 172.06/26.40  | | | SIMP: (104) implies:
% 172.06/26.40  | | |   (105)   ~ (all_14_2 = e0)
% 172.06/26.40  | | | 
% 172.06/26.40  | | | REDUCE: (12), (100) imply:
% 172.06/26.40  | | |   (106)   ~ (all_6_2 = e0)
% 172.06/26.40  | | | 
% 172.06/26.40  | | | SIMP: (106) implies:
% 172.06/26.40  | | |   (107)   ~ (all_6_2 = e0)
% 172.06/26.40  | | | 
% 172.06/26.40  | | | BETA: splitting (37) gives:
% 172.06/26.40  | | | 
% 172.06/26.40  | | | Case 1:
% 172.06/26.40  | | | | 
% 172.06/26.40  | | | |   (108)  all_56_7 = e0
% 172.06/26.40  | | | | 
% 172.06/26.40  | | | | COMBINE_EQS: (87), (108) imply:
% 172.06/26.40  | | | |   (109)  all_52_6 = e0
% 172.06/26.40  | | | | 
% 172.06/26.40  | | | | COMBINE_EQS: (69), (109) imply:
% 172.06/26.40  | | | |   (110)  all_58_22 = e0
% 172.06/26.40  | | | | 
% 172.06/26.40  | | | | REDUCE: (28), (109) imply:
% 172.06/26.40  | | | |   (111)   ~ (all_52_7 = e0)
% 172.06/26.40  | | | | 
% 172.06/26.40  | | | | SIMP: (111) implies:
% 172.06/26.40  | | | |   (112)   ~ (all_52_7 = e0)
% 172.06/26.40  | | | | 
% 172.06/26.40  | | | | REDUCE: (13), (109) imply:
% 172.06/26.40  | | | |   (113)   ~ (all_4_2 = e0)
% 172.06/26.40  | | | | 
% 172.06/26.40  | | | | SIMP: (113) implies:
% 172.06/26.40  | | | |   (114)   ~ (all_4_2 = e0)
% 172.06/26.40  | | | | 
% 172.06/26.40  | | | | REF_CLOSE: (2), (3), (4), (7), (8), (9), (10), (11), (14), (15), (16),
% 172.06/26.40  | | | |            (17), (19), (20), (22), (23), (24), (25), (26), (27), (29),
% 172.06/26.40  | | | |            (30), (31), (32), (33), (35), (36), (38), (39), (41), (42),
% 172.06/26.40  | | | |            (43), (44), (45), (46), (47), (48), (49), (50), (51), (52),
% 172.06/26.40  | | | |            (53), (54), (56), (57), (58), (59), (60), (61), (62), (63),
% 172.06/26.40  | | | |            (64), (65), (66), (67), (70), (71), (72), (73), (74), (75),
% 172.06/26.40  | | | |            (76), (77), (78), (79), (80), (81), (82), (84), (85), (86),
% 172.06/26.40  | | | |            (88), (89), (90), (98), (101), (103), (105), (107), (110),
% 172.06/26.40  | | | |            (112), (114) are inconsistent by sub-proof #209.
% 172.06/26.40  | | | | 
% 172.06/26.40  | | | Case 2:
% 172.06/26.40  | | | | 
% 172.06/26.40  | | | |   (115)  all_56_8 = e0 | all_56_11 = e0
% 172.06/26.40  | | | | 
% 172.06/26.40  | | | | REF_CLOSE: (5), (18), (27), (103), (115) are inconsistent by sub-proof
% 172.06/26.40  | | | |            #912.
% 172.06/26.40  | | | | 
% 172.06/26.40  | | | End of split
% 172.06/26.40  | | | 
% 172.06/26.40  | | End of split
% 172.06/26.40  | | 
% 172.06/26.40  | End of split
% 172.06/26.40  | 
% 172.06/26.40  End of proof
% 172.06/26.40  
% 172.06/26.40  Sub-proof #209 shows that the following formulas are inconsistent:
% 172.06/26.40  ----------------------------------------------------------------
% 172.06/26.40    (1)  all_56_1 = all_52_4
% 172.06/26.40    (2)  op(e1, e3) = all_52_2
% 172.06/26.40    (3)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 172.06/26.40    (4)  all_58_23 = all_52_7
% 172.06/26.40    (5)   ~ (all_52_2 = all_6_2)
% 172.06/26.40    (6)  all_8_2 = all_6_2
% 172.06/26.40    (7)   ~ (all_52_4 = all_4_2)
% 172.06/26.40    (8)  op(all_6_2, e3) = all_6_1
% 172.06/26.40    (9)  all_56_15 = all_14_2
% 172.06/26.40    (10)  all_54_1 = all_52_4
% 172.06/26.40    (11)   ~ (all_14_2 = e0)
% 172.06/26.40    (12)  all_56_12 = e0
% 172.06/26.40    (13)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.06/26.40    (14)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.06/26.40    (15)  all_58_26 = all_10_2
% 172.06/26.40    (16)  all_58_31 = all_14_2
% 172.06/26.40    (17)   ~ (all_52_11 = all_10_2)
% 172.06/26.40    (18)  all_58_25 = e0
% 172.06/26.40    (19)   ~ (all_52_4 = e0)
% 172.06/26.40    (20)  all_56_9 = e0
% 172.06/26.40    (21)   ~ (all_52_1 = all_6_2)
% 172.06/26.40    (22)  all_56_11 = all_52_14
% 172.06/26.40    (23)  all_56_0 = all_6_2
% 172.06/26.40    (24)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.06/26.40    (25)  all_58_30 = all_52_14
% 172.06/26.40    (26)  all_58_27 = all_52_11
% 172.06/26.40    (27)  all_54_14 = all_52_11
% 172.06/26.40    (28)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 172.06/26.40    (29)  all_58_22 = e0
% 172.06/26.40    (30)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 172.06/26.40    (31)   ~ (e3 = e2)
% 172.06/26.40    (32)   ~ (e2 = e1)
% 172.06/26.40    (33)   ~ (all_52_7 = all_14_2)
% 172.06/26.40    (34)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.06/26.40    (35)   ~ (all_52_1 = all_4_2)
% 172.06/26.40    (36)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.06/26.40    (37)  all_58_28 = e0
% 172.06/26.40    (38)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.06/26.40    (39)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.06/26.40    (40)   ~ (all_52_13 = all_52_14)
% 172.06/26.40    (41)  op(e2, e3) = all_52_1
% 172.06/26.40    (42)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.06/26.40    (43)   ~ (all_52_4 = all_6_2)
% 172.06/26.40    (44)  all_56_2 = all_52_1
% 172.06/26.40    (45)   ~ (e3 = e0)
% 172.06/26.40    (46)  all_58_29 = all_52_13
% 172.06/26.40    (47)   ~ (all_52_1 = all_52_2)
% 172.06/26.40    (48)   ~ (all_4_2 = e0)
% 172.06/26.40    (49)   ~ (all_6_2 = e0)
% 172.06/26.40    (50)   ~ (all_52_7 = all_4_2)
% 172.06/26.40    (51)  all_56_4 = all_52_8
% 172.06/26.40    (52)   ~ (all_52_1 = all_52_13)
% 172.06/26.40    (53)  all_58_20 = all_52_4
% 172.06/26.40    (54)  all_54_13 = all_52_7
% 172.06/26.40    (55)   ~ (all_52_7 = all_52_11)
% 172.06/26.40    (56)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.06/26.40    (57)   ~ (all_52_8 = all_52_11)
% 172.06/26.40    (58)   ~ (all_52_8 = all_6_2)
% 172.06/26.40    (59)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 172.06/26.40    (60)  all_56_6 = all_52_2
% 172.06/26.40    (61)   ~ (all_52_7 = e0)
% 172.06/26.40    (62)  all_58_24 = all_52_8
% 172.06/26.40    (63)  all_56_3 = all_4_2
% 172.06/26.40    (64)  all_54_0 = all_6_2
% 172.06/26.40    (65)   ~ (all_52_14 = all_10_2)
% 172.06/26.40    (66)   ~ (all_52_11 = e0)
% 172.06/26.40    (67)   ~ (all_52_1 = e0)
% 172.06/26.40    (68)   ~ (all_52_4 = all_52_8)
% 172.06/26.40    (69)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.06/26.40            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.06/26.40    (70)  all_58_21 = all_4_2
% 172.06/26.40    (71)  all_56_10 = all_52_13
% 172.06/26.40    (72)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.06/26.40    (73)   ~ (e2 = e0)
% 172.06/26.40    (74)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 172.06/26.40    (75)   ~ (all_52_14 = e0)
% 172.06/26.40    (76)  all_8_1 = all_6_1
% 172.06/26.40    (77)   ~ (e1 = e0)
% 172.06/26.40    (78)  all_54_4 = all_52_1
% 172.06/26.40    (79)  all_56_5 = e0
% 172.06/26.40    (80)   ~ (all_52_8 = e0)
% 172.06/26.40    (81)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 172.06/26.40    (82)   ~ (all_52_2 = all_10_2)
% 172.06/26.40  
% 172.06/26.40  Begin of proof
% 172.06/26.40  | 
% 172.06/26.40  | BETA: splitting (74) gives:
% 172.06/26.40  | 
% 172.06/26.40  | Case 1:
% 172.06/26.40  | | 
% 172.06/26.40  | |   (83)  all_54_13 = e0
% 172.06/26.40  | | 
% 172.06/26.40  | | REF_CLOSE: (54), (61), (83) are inconsistent by sub-proof #800.
% 172.06/26.40  | | 
% 172.06/26.40  | Case 2:
% 172.06/26.40  | | 
% 172.06/26.40  | |   (84)   ~ (all_54_13 = e0)
% 172.06/26.40  | |   (85)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 172.06/26.40  | | 
% 172.06/26.40  | | BETA: splitting (59) gives:
% 172.06/26.40  | | 
% 172.06/26.40  | | Case 1:
% 172.06/26.40  | | | 
% 172.06/26.40  | | |   (86)  all_54_4 = e0
% 172.06/26.40  | | | 
% 172.06/26.40  | | | REF_CLOSE: (67), (78), (86) are inconsistent by sub-proof #902.
% 172.06/26.40  | | | 
% 172.06/26.40  | | Case 2:
% 172.06/26.40  | | | 
% 172.06/26.40  | | |   (87)   ~ (all_54_4 = e0)
% 172.06/26.40  | | |   (88)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 172.06/26.40  | | | 
% 172.06/26.40  | | | BETA: splitting (3) gives:
% 172.06/26.40  | | | 
% 172.06/26.40  | | | Case 1:
% 172.06/26.40  | | | | 
% 172.06/26.40  | | | |   (89)  all_54_0 = e0
% 172.06/26.40  | | | | 
% 172.06/26.40  | | | | REF_CLOSE: (49), (64), (89) are inconsistent by sub-proof #984.
% 172.06/26.40  | | | | 
% 172.06/26.40  | | | Case 2:
% 172.06/26.40  | | | | 
% 172.06/26.40  | | | |   (90)   ~ (all_54_0 = e0)
% 172.06/26.40  | | | |   (91)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.06/26.40  | | | | 
% 172.06/26.40  | | | | BETA: splitting (28) gives:
% 172.06/26.40  | | | | 
% 172.06/26.40  | | | | Case 1:
% 172.06/26.40  | | | | | 
% 172.06/26.40  | | | | |   (92)  all_54_14 = e0
% 172.06/26.40  | | | | | 
% 172.06/26.40  | | | | | REF_CLOSE: (27), (66), (92) are inconsistent by sub-proof #799.
% 172.06/26.40  | | | | | 
% 172.06/26.40  | | | | Case 2:
% 172.06/26.40  | | | | | 
% 172.06/26.40  | | | | |   (93)   ~ (all_54_14 = e0)
% 172.06/26.40  | | | | |   (94)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 172.06/26.40  | | | | | 
% 172.06/26.40  | | | | | BETA: splitting (38) gives:
% 172.06/26.40  | | | | | 
% 172.06/26.40  | | | | | Case 1:
% 172.06/26.40  | | | | | | 
% 172.06/26.40  | | | | | |   (95)  all_54_1 = e0
% 172.06/26.40  | | | | | | 
% 172.06/26.40  | | | | | | REF_CLOSE: (10), (19), (95) are inconsistent by sub-proof #866.
% 172.06/26.40  | | | | | | 
% 172.06/26.40  | | | | | Case 2:
% 172.06/26.40  | | | | | | 
% 172.06/26.40  | | | | | |   (96)   ~ (all_54_1 = e0)
% 172.06/26.40  | | | | | |   (97)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 172.06/26.40  | | | | | | 
% 172.06/26.40  | | | | | | BETA: splitting (14) gives:
% 172.06/26.40  | | | | | | 
% 172.06/26.40  | | | | | | Case 1:
% 172.06/26.40  | | | | | | | 
% 172.06/26.40  | | | | | | |   (98)  all_58_31 = e0
% 172.06/26.40  | | | | | | | 
% 172.06/26.40  | | | | | | | COMBINE_EQS: (16), (98) imply:
% 172.06/26.40  | | | | | | |   (99)  all_14_2 = e0
% 172.06/26.40  | | | | | | | 
% 172.06/26.40  | | | | | | | REDUCE: (11), (99) imply:
% 172.06/26.40  | | | | | | |   (100)  $false
% 172.06/26.40  | | | | | | | 
% 172.06/26.40  | | | | | | | CLOSE: (100) is inconsistent.
% 172.06/26.40  | | | | | | | 
% 172.06/26.40  | | | | | | Case 2:
% 172.06/26.40  | | | | | | | 
% 172.06/26.40  | | | | | | |   (101)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.06/26.40  | | | | | | | 
% 172.06/26.40  | | | | | | | BETA: splitting (24) gives:
% 172.06/26.40  | | | | | | | 
% 172.06/26.40  | | | | | | | Case 1:
% 172.06/26.40  | | | | | | | | 
% 172.06/26.40  | | | | | | | |   (102)  all_58_27 = e0
% 172.06/26.40  | | | | | | | | 
% 172.06/26.40  | | | | | | | | COMBINE_EQS: (26), (102) imply:
% 172.06/26.40  | | | | | | | |   (103)  all_52_11 = e0
% 172.06/26.40  | | | | | | | | 
% 172.06/26.40  | | | | | | | | REDUCE: (66), (103) imply:
% 172.06/26.40  | | | | | | | |   (104)  $false
% 172.06/26.40  | | | | | | | | 
% 172.06/26.40  | | | | | | | | CLOSE: (104) is inconsistent.
% 172.06/26.40  | | | | | | | | 
% 172.06/26.40  | | | | | | | Case 2:
% 172.06/26.40  | | | | | | | | 
% 172.06/26.40  | | | | | | | |   (105)   ~ (all_58_27 = e0)
% 172.06/26.40  | | | | | | | |   (106)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.06/26.40  | | | | | | | | 
% 172.06/26.40  | | | | | | | | BETA: splitting (56) gives:
% 172.06/26.40  | | | | | | | | 
% 172.06/26.40  | | | | | | | | Case 1:
% 172.06/26.40  | | | | | | | | | 
% 172.06/26.40  | | | | | | | | |   (107)  all_58_23 = e0
% 172.06/26.40  | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | COMBINE_EQS: (4), (107) imply:
% 172.06/26.40  | | | | | | | | |   (108)  all_52_7 = e0
% 172.06/26.40  | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | REDUCE: (61), (108) imply:
% 172.06/26.40  | | | | | | | | |   (109)  $false
% 172.06/26.40  | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | CLOSE: (109) is inconsistent.
% 172.06/26.40  | | | | | | | | | 
% 172.06/26.40  | | | | | | | | Case 2:
% 172.06/26.40  | | | | | | | | | 
% 172.06/26.40  | | | | | | | | |   (110)   ~ (all_58_23 = e0)
% 172.06/26.40  | | | | | | | | |   (111)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.06/26.40  | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | BETA: splitting (42) gives:
% 172.06/26.40  | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | Case 1:
% 172.06/26.40  | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | |   (112)  all_56_0 = e2
% 172.06/26.40  | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | COMBINE_EQS: (23), (112) imply:
% 172.06/26.40  | | | | | | | | | |   (113)  all_6_2 = e2
% 172.06/26.40  | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | REDUCE: (58), (113) imply:
% 172.06/26.40  | | | | | | | | | |   (114)   ~ (all_52_8 = e2)
% 172.06/26.40  | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | REF_CLOSE: (1), (5), (7), (8), (10), (12), (15), (18), (19),
% 172.06/26.40  | | | | | | | | | |            (20), (21), (23), (25), (29), (30), (31), (32),
% 172.06/26.40  | | | | | | | | | |            (34), (36), (37), (40), (41), (42), (43), (44),
% 172.06/26.40  | | | | | | | | | |            (46), (47), (49), (51), (53), (60), (62), (63),
% 172.06/26.40  | | | | | | | | | |            (68), (69), (70), (71), (72), (73), (77), (78),
% 172.06/26.40  | | | | | | | | | |            (79), (80), (82), (88), (97), (101), (106), (111),
% 172.06/26.40  | | | | | | | | | |            (114) are inconsistent by sub-proof #210.
% 172.06/26.40  | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | Case 2:
% 172.06/26.40  | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | |   (115)   ~ (all_56_0 = e2)
% 172.06/26.40  | | | | | | | | | |   (116)  all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.06/26.40  | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | REDUCE: (23), (115) imply:
% 172.06/26.40  | | | | | | | | | |   (117)   ~ (all_6_2 = e2)
% 172.06/26.40  | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | BETA: splitting (34) gives:
% 172.06/26.40  | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | Case 1:
% 172.06/26.40  | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | |   (118)  all_56_0 = e2
% 172.06/26.40  | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | COMBINE_EQS: (23), (118) imply:
% 172.06/26.40  | | | | | | | | | | |   (119)  all_6_2 = e2
% 172.06/26.40  | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | REDUCE: (117), (119) imply:
% 172.06/26.40  | | | | | | | | | | |   (120)  $false
% 172.06/26.40  | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | CLOSE: (120) is inconsistent.
% 172.06/26.40  | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | Case 2:
% 172.06/26.40  | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | |   (121)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.06/26.40  | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | BETA: splitting (36) gives:
% 172.06/26.40  | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | Case 1:
% 172.06/26.40  | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | |   (122)  all_56_0 = e1
% 172.06/26.40  | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | | COMBINE_EQS: (23), (122) imply:
% 172.06/26.40  | | | | | | | | | | | |   (123)  all_6_2 = e1
% 172.06/26.40  | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | | COMBINE_EQS: (6), (123) imply:
% 172.06/26.40  | | | | | | | | | | | |   (124)  all_8_2 = e1
% 172.06/26.40  | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | | REDUCE: (8), (123) imply:
% 172.06/26.40  | | | | | | | | | | | |   (125)  op(e1, e3) = all_6_1
% 172.06/26.40  | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | | BETA: splitting (81) gives:
% 172.06/26.40  | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | | Case 1:
% 172.06/26.40  | | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | | |   (126)   ~ (all_8_2 = e1)
% 172.06/26.40  | | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | | | REDUCE: (124), (126) imply:
% 172.06/26.40  | | | | | | | | | | | | |   (127)  $false
% 172.06/26.40  | | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | | | CLOSE: (127) is inconsistent.
% 172.06/26.40  | | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | | Case 2:
% 172.06/26.40  | | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | | |   (128)   ~ (all_8_1 = e2)
% 172.06/26.40  | | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | | | REDUCE: (76), (128) imply:
% 172.06/26.40  | | | | | | | | | | | | |   (129)   ~ (all_6_1 = e2)
% 172.06/26.40  | | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | | | GROUND_INST: instantiating (69) with all_52_2, all_6_1, e3, e1,
% 172.06/26.40  | | | | | | | | | | | | |              simplifying with (2), (125) gives:
% 172.06/26.40  | | | | | | | | | | | | |   (130)  all_52_2 = all_6_1
% 172.06/26.40  | | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | | | COMBINE_EQS: (60), (130) imply:
% 172.06/26.40  | | | | | | | | | | | | |   (131)  all_56_6 = all_6_1
% 172.06/26.40  | | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | | | BETA: splitting (116) gives:
% 172.06/26.40  | | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | | | Case 1:
% 172.06/26.40  | | | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | | | |   (132)  all_56_2 = e2
% 172.06/26.40  | | | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | | | | COMBINE_EQS: (44), (132) imply:
% 172.06/26.40  | | | | | | | | | | | | | |   (133)  all_52_1 = e2
% 172.06/26.40  | | | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | | | | REDUCE: (52), (133) imply:
% 172.06/26.40  | | | | | | | | | | | | | |   (134)   ~ (all_52_13 = e2)
% 172.06/26.40  | | | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | | | | SIMP: (134) implies:
% 172.06/26.40  | | | | | | | | | | | | | |   (135)   ~ (all_52_13 = e2)
% 172.06/26.40  | | | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | | | | REDUCE: (35), (133) imply:
% 172.06/26.40  | | | | | | | | | | | | | |   (136)   ~ (all_4_2 = e2)
% 172.06/26.40  | | | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | | | | SIMP: (136) implies:
% 172.06/26.40  | | | | | | | | | | | | | |   (137)   ~ (all_4_2 = e2)
% 172.06/26.40  | | | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | | | | REF_CLOSE: (15), (18), (25), (29), (37), (45), (46), (53),
% 172.06/26.40  | | | | | | | | | | | | | |            (62), (65), (68), (70), (73), (75), (101), (106),
% 172.06/26.40  | | | | | | | | | | | | | |            (111), (135), (137) are inconsistent by sub-proof
% 172.06/26.40  | | | | | | | | | | | | | |            #717.
% 172.06/26.40  | | | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | | | Case 2:
% 172.06/26.40  | | | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | | | |   (138)  all_56_6 = e2 | all_56_12 = e2
% 172.06/26.40  | | | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | | | | REF_CLOSE: (12), (73), (129), (131), (138) are inconsistent
% 172.06/26.40  | | | | | | | | | | | | | |            by sub-proof #220.
% 172.06/26.40  | | | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | | | End of split
% 172.06/26.40  | | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | | End of split
% 172.06/26.40  | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | Case 2:
% 172.06/26.40  | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | |   (139)   ~ (all_56_0 = e1)
% 172.06/26.40  | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | | REDUCE: (23), (139) imply:
% 172.06/26.40  | | | | | | | | | | | |   (140)   ~ (all_6_2 = e1)
% 172.06/26.40  | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | | REF_CLOSE: (1), (7), (9), (10), (13), (15), (17), (18), (20),
% 172.06/26.40  | | | | | | | | | | | |            (22), (23), (25), (27), (29), (33), (37), (39),
% 172.06/26.40  | | | | | | | | | | | |            (43), (46), (48), (50), (51), (53), (54), (55),
% 172.06/26.40  | | | | | | | | | | | |            (57), (58), (61), (62), (64), (65), (66), (70),
% 172.06/26.40  | | | | | | | | | | | |            (71), (77), (85), (91), (94), (97), (101), (106),
% 172.06/26.40  | | | | | | | | | | | |            (111), (117), (121), (140) are inconsistent by
% 172.06/26.40  | | | | | | | | | | | |            sub-proof #718.
% 172.06/26.40  | | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | | End of split
% 172.06/26.40  | | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | | End of split
% 172.06/26.40  | | | | | | | | | | 
% 172.06/26.40  | | | | | | | | | End of split
% 172.06/26.40  | | | | | | | | | 
% 172.06/26.40  | | | | | | | | End of split
% 172.06/26.40  | | | | | | | | 
% 172.06/26.40  | | | | | | | End of split
% 172.06/26.40  | | | | | | | 
% 172.06/26.40  | | | | | | End of split
% 172.06/26.40  | | | | | | 
% 172.06/26.40  | | | | | End of split
% 172.06/26.40  | | | | | 
% 172.06/26.40  | | | | End of split
% 172.06/26.40  | | | | 
% 172.06/26.40  | | | End of split
% 172.06/26.40  | | | 
% 172.06/26.40  | | End of split
% 172.06/26.40  | | 
% 172.06/26.40  | End of split
% 172.06/26.40  | 
% 172.06/26.40  End of proof
% 172.06/26.40  
% 172.06/26.40  Sub-proof #210 shows that the following formulas are inconsistent:
% 172.06/26.40  ----------------------------------------------------------------
% 172.06/26.40    (1)  all_56_1 = all_52_4
% 172.06/26.40    (2)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.06/26.40    (3)   ~ (all_52_2 = all_6_2)
% 172.06/26.40    (4)   ~ (all_52_4 = all_4_2)
% 172.06/26.40    (5)  op(all_6_2, e3) = all_6_1
% 172.06/26.40    (6)  all_54_1 = all_52_4
% 172.06/26.40    (7)  all_56_12 = e0
% 172.06/26.40    (8)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.06/26.40    (9)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 172.06/26.40    (10)  all_58_26 = all_10_2
% 172.06/26.40    (11)  all_58_25 = e0
% 172.06/26.40    (12)   ~ (all_52_4 = e0)
% 172.06/26.40    (13)  all_56_9 = e0
% 172.06/26.40    (14)   ~ (all_52_1 = all_6_2)
% 172.06/26.40    (15)  all_56_0 = all_6_2
% 172.06/26.40    (16)  all_58_30 = all_52_14
% 172.06/26.40    (17)   ~ (all_52_8 = e2)
% 172.06/26.40    (18)  all_58_22 = e0
% 172.06/26.40    (19)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 172.06/26.40    (20)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.06/26.40    (21)   ~ (e3 = e2)
% 172.06/26.40    (22)   ~ (e2 = e1)
% 172.06/26.40    (23)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.06/26.40    (24)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.06/26.40    (25)  all_58_28 = e0
% 172.06/26.40    (26)   ~ (all_52_13 = all_52_14)
% 172.06/26.40    (27)  op(e2, e3) = all_52_1
% 172.06/26.40    (28)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.06/26.40    (29)   ~ (all_52_4 = all_6_2)
% 172.06/26.40    (30)  all_56_2 = all_52_1
% 172.06/26.40    (31)  all_58_29 = all_52_13
% 172.06/26.40    (32)   ~ (all_52_1 = all_52_2)
% 172.06/26.40    (33)   ~ (all_6_2 = e0)
% 172.06/26.40    (34)  all_56_4 = all_52_8
% 172.06/26.40    (35)  all_58_20 = all_52_4
% 172.06/26.40    (36)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 172.06/26.40    (37)  all_56_6 = all_52_2
% 172.06/26.40    (38)  all_58_24 = all_52_8
% 172.06/26.40    (39)  all_56_3 = all_4_2
% 172.06/26.40    (40)   ~ (all_52_4 = all_52_8)
% 172.06/26.40    (41)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.06/26.40            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.06/26.40    (42)  all_58_21 = all_4_2
% 172.06/26.40    (43)  all_56_10 = all_52_13
% 172.06/26.40    (44)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.06/26.40    (45)   ~ (e2 = e0)
% 172.06/26.40    (46)   ~ (e1 = e0)
% 172.06/26.41    (47)  all_54_4 = all_52_1
% 172.06/26.41    (48)  all_56_5 = e0
% 172.06/26.41    (49)   ~ (all_52_8 = e0)
% 172.06/26.41    (50)   ~ (all_52_2 = all_10_2)
% 172.06/26.41  
% 172.06/26.41  Begin of proof
% 172.06/26.41  | 
% 172.06/26.41  | BETA: splitting (23) gives:
% 172.06/26.41  | 
% 172.06/26.41  | Case 1:
% 172.06/26.41  | | 
% 172.06/26.41  | |   (51)  all_56_0 = e2
% 172.06/26.41  | | 
% 172.06/26.41  | | COMBINE_EQS: (15), (51) imply:
% 172.06/26.41  | |   (52)  all_6_2 = e2
% 172.06/26.41  | | 
% 172.06/26.41  | | REDUCE: (14), (52) imply:
% 172.06/26.41  | |   (53)   ~ (all_52_1 = e2)
% 172.06/26.41  | | 
% 172.06/26.41  | | REDUCE: (3), (52) imply:
% 172.06/26.41  | |   (54)   ~ (all_52_2 = e2)
% 172.06/26.41  | | 
% 172.06/26.41  | | REDUCE: (29), (52) imply:
% 172.06/26.41  | |   (55)   ~ (all_52_4 = e2)
% 172.06/26.41  | | 
% 172.06/26.41  | | REDUCE: (5), (52) imply:
% 172.06/26.41  | |   (56)  op(e2, e3) = all_6_1
% 172.06/26.41  | | 
% 172.06/26.41  | | BETA: splitting (19) gives:
% 172.06/26.41  | | 
% 172.06/26.41  | | Case 1:
% 172.06/26.41  | | | 
% 172.06/26.41  | | |   (57)   ~ (all_6_1 = e1)
% 172.06/26.41  | | | 
% 172.06/26.41  | | | GROUND_INST: instantiating (41) with all_52_1, all_6_1, e3, e2,
% 172.06/26.41  | | |              simplifying with (27), (56) gives:
% 172.06/26.41  | | |   (58)  all_52_1 = all_6_1
% 172.06/26.41  | | | 
% 172.06/26.41  | | | COMBINE_EQS: (47), (58) imply:
% 172.06/26.41  | | |   (59)  all_54_4 = all_6_1
% 172.06/26.41  | | | 
% 172.06/26.41  | | | COMBINE_EQS: (30), (58) imply:
% 172.06/26.41  | | |   (60)  all_56_2 = all_6_1
% 172.06/26.41  | | | 
% 172.06/26.41  | | | REDUCE: (32), (58) imply:
% 172.06/26.41  | | |   (61)   ~ (all_52_2 = all_6_1)
% 172.06/26.41  | | | 
% 172.06/26.41  | | | SIMP: (61) implies:
% 172.06/26.41  | | |   (62)   ~ (all_52_2 = all_6_1)
% 172.06/26.41  | | | 
% 172.06/26.41  | | | REDUCE: (53), (58) imply:
% 172.06/26.41  | | |   (63)   ~ (all_6_1 = e2)
% 172.06/26.41  | | | 
% 172.06/26.41  | | | BETA: splitting (24) gives:
% 172.06/26.41  | | | 
% 172.06/26.41  | | | Case 1:
% 172.06/26.41  | | | | 
% 172.06/26.41  | | | |   (64)  all_56_0 = e1
% 172.06/26.41  | | | | 
% 172.06/26.41  | | | | REF_CLOSE: (7), (22), (28), (30), (37), (45), (53), (54), (64) are
% 172.06/26.41  | | | |            inconsistent by sub-proof #731.
% 172.06/26.41  | | | | 
% 172.06/26.41  | | | Case 2:
% 172.06/26.41  | | | | 
% 172.06/26.41  | | | |   (65)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.06/26.41  | | | | 
% 172.06/26.41  | | | | BETA: splitting (65) gives:
% 172.06/26.41  | | | | 
% 172.06/26.41  | | | | Case 1:
% 172.06/26.41  | | | | | 
% 172.06/26.41  | | | | |   (66)  all_56_2 = e1
% 172.06/26.41  | | | | | 
% 172.06/26.41  | | | | | COMBINE_EQS: (60), (66) imply:
% 172.06/26.41  | | | | |   (67)  all_6_1 = e1
% 172.06/26.41  | | | | | 
% 172.06/26.41  | | | | | REDUCE: (57), (67) imply:
% 172.06/26.41  | | | | |   (68)  $false
% 172.06/26.41  | | | | | 
% 172.06/26.41  | | | | | CLOSE: (68) is inconsistent.
% 172.06/26.41  | | | | | 
% 172.06/26.41  | | | | Case 2:
% 172.06/26.41  | | | | | 
% 172.06/26.41  | | | | |   (69)  all_56_6 = e1 | all_56_12 = e1
% 172.06/26.41  | | | | | 
% 172.06/26.41  | | | | | BETA: splitting (69) gives:
% 172.06/26.41  | | | | | 
% 172.06/26.41  | | | | | Case 1:
% 172.06/26.41  | | | | | | 
% 172.06/26.41  | | | | | |   (70)  all_56_6 = e1
% 172.06/26.41  | | | | | | 
% 172.06/26.41  | | | | | | COMBINE_EQS: (37), (70) imply:
% 172.06/26.41  | | | | | |   (71)  all_52_2 = e1
% 172.06/26.41  | | | | | | 
% 172.06/26.41  | | | | | | REDUCE: (50), (71) imply:
% 172.06/26.41  | | | | | |   (72)   ~ (all_10_2 = e1)
% 172.06/26.41  | | | | | | 
% 172.06/26.41  | | | | | | SIMP: (72) implies:
% 172.06/26.41  | | | | | |   (73)   ~ (all_10_2 = e1)
% 172.06/26.41  | | | | | | 
% 172.06/26.41  | | | | | | REDUCE: (62), (71) imply:
% 172.06/26.41  | | | | | |   (74)   ~ (all_6_1 = e1)
% 172.06/26.41  | | | | | | 
% 172.06/26.41  | | | | | | BETA: splitting (9) gives:
% 172.06/26.41  | | | | | | 
% 172.06/26.41  | | | | | | Case 1:
% 172.06/26.41  | | | | | | | 
% 172.06/26.41  | | | | | | |   (75)  all_54_4 = e1
% 172.06/26.41  | | | | | | | 
% 172.06/26.41  | | | | | | | COMBINE_EQS: (59), (75) imply:
% 172.06/26.41  | | | | | | |   (76)  all_6_1 = e1
% 172.06/26.41  | | | | | | | 
% 172.06/26.41  | | | | | | | SIMP: (76) implies:
% 172.06/26.41  | | | | | | |   (77)  all_6_1 = e1
% 172.06/26.41  | | | | | | | 
% 172.06/26.41  | | | | | | | REDUCE: (57), (77) imply:
% 172.06/26.41  | | | | | | |   (78)  $false
% 172.06/26.41  | | | | | | | 
% 172.06/26.41  | | | | | | | CLOSE: (78) is inconsistent.
% 172.06/26.41  | | | | | | | 
% 172.06/26.41  | | | | | | Case 2:
% 172.06/26.41  | | | | | | | 
% 172.06/26.41  | | | | | | |   (79)  all_54_4 = e3 | all_54_4 = e2
% 172.06/26.41  | | | | | | | 
% 172.06/26.41  | | | | | | | BETA: splitting (79) gives:
% 172.06/26.41  | | | | | | | 
% 172.06/26.41  | | | | | | | Case 1:
% 172.06/26.41  | | | | | | | | 
% 172.06/26.41  | | | | | | | |   (80)  all_54_4 = e2
% 172.06/26.41  | | | | | | | | 
% 172.06/26.41  | | | | | | | | COMBINE_EQS: (59), (80) imply:
% 172.06/26.41  | | | | | | | |   (81)  all_6_1 = e2
% 172.06/26.41  | | | | | | | | 
% 172.06/26.41  | | | | | | | | SIMP: (81) implies:
% 172.06/26.41  | | | | | | | |   (82)  all_6_1 = e2
% 172.06/26.41  | | | | | | | | 
% 172.06/26.41  | | | | | | | | REDUCE: (63), (82) imply:
% 172.06/26.41  | | | | | | | |   (83)  $false
% 172.06/26.41  | | | | | | | | 
% 172.06/26.41  | | | | | | | | CLOSE: (83) is inconsistent.
% 172.06/26.41  | | | | | | | | 
% 172.06/26.41  | | | | | | | Case 2:
% 172.06/26.41  | | | | | | | | 
% 172.06/26.41  | | | | | | | |   (84)  all_54_4 = e3
% 172.06/26.41  | | | | | | | | 
% 172.06/26.41  | | | | | | | | COMBINE_EQS: (59), (84) imply:
% 172.06/26.41  | | | | | | | |   (85)  all_6_1 = e3
% 172.06/26.41  | | | | | | | | 
% 172.06/26.41  | | | | | | | | SIMP: (85) implies:
% 172.06/26.41  | | | | | | | |   (86)  all_6_1 = e3
% 172.06/26.41  | | | | | | | | 
% 172.06/26.41  | | | | | | | | COMBINE_EQS: (60), (86) imply:
% 172.06/26.41  | | | | | | | |   (87)  all_56_2 = e3
% 172.06/26.41  | | | | | | | | 
% 172.06/26.41  | | | | | | | | REF_CLOSE: (4), (6), (8), (10), (11), (12), (16), (20), (25),
% 172.06/26.41  | | | | | | | |            (26), (31), (36), (38), (39), (40), (43), (44), (45),
% 172.06/26.41  | | | | | | | |            (48), (49), (55), (73), (87) are inconsistent by
% 172.06/26.41  | | | | | | | |            sub-proof #728.
% 172.06/26.41  | | | | | | | | 
% 172.06/26.41  | | | | | | | End of split
% 172.06/26.41  | | | | | | | 
% 172.06/26.41  | | | | | | End of split
% 172.06/26.41  | | | | | | 
% 172.06/26.41  | | | | | Case 2:
% 172.06/26.41  | | | | | | 
% 172.06/26.41  | | | | | |   (88)  all_56_12 = e1
% 172.06/26.41  | | | | | | 
% 172.06/26.41  | | | | | | COMBINE_EQS: (7), (88) imply:
% 172.06/26.41  | | | | | |   (89)  e1 = e0
% 172.06/26.41  | | | | | | 
% 172.06/26.41  | | | | | | REDUCE: (46), (89) imply:
% 172.06/26.41  | | | | | |   (90)  $false
% 172.06/26.41  | | | | | | 
% 172.06/26.41  | | | | | | CLOSE: (90) is inconsistent.
% 172.06/26.41  | | | | | | 
% 172.06/26.41  | | | | | End of split
% 172.06/26.41  | | | | | 
% 172.06/26.41  | | | | End of split
% 172.06/26.41  | | | | 
% 172.06/26.41  | | | End of split
% 172.06/26.41  | | | 
% 172.06/26.41  | | Case 2:
% 172.06/26.41  | | | 
% 172.06/26.41  | | |   (91)   ~ (all_6_2 = e2)
% 172.06/26.41  | | | 
% 172.06/26.41  | | | REDUCE: (52), (91) imply:
% 172.06/26.41  | | |   (92)  $false
% 172.06/26.41  | | | 
% 172.06/26.41  | | | CLOSE: (92) is inconsistent.
% 172.06/26.41  | | | 
% 172.06/26.41  | | End of split
% 172.06/26.41  | | 
% 172.06/26.41  | Case 2:
% 172.06/26.41  | | 
% 172.06/26.41  | |   (93)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.06/26.41  | | 
% 172.06/26.41  | | REF_CLOSE: (1), (2), (4), (13), (17), (18), (21), (34), (35), (42), (45),
% 172.06/26.41  | |            (46), (93) are inconsistent by sub-proof #211.
% 172.06/26.41  | | 
% 172.06/26.41  | End of split
% 172.06/26.41  | 
% 172.06/26.41  End of proof
% 172.06/26.41  
% 172.06/26.41  Sub-proof #211 shows that the following formulas are inconsistent:
% 172.06/26.41  ----------------------------------------------------------------
% 172.06/26.41    (1)  all_56_1 = all_52_4
% 172.06/26.41    (2)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.06/26.41    (3)   ~ (all_52_4 = all_4_2)
% 172.06/26.41    (4)  all_56_9 = e0
% 172.06/26.41    (5)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.06/26.41    (6)   ~ (all_52_8 = e2)
% 172.06/26.41    (7)  all_58_22 = e0
% 172.06/26.41    (8)   ~ (e3 = e2)
% 172.06/26.41    (9)  all_56_4 = all_52_8
% 172.06/26.41    (10)  all_58_20 = all_52_4
% 172.06/26.41    (11)  all_58_21 = all_4_2
% 172.06/26.41    (12)   ~ (e2 = e0)
% 172.06/26.41    (13)   ~ (e1 = e0)
% 172.06/26.41  
% 172.06/26.41  Begin of proof
% 172.06/26.41  | 
% 172.06/26.41  | BETA: splitting (5) gives:
% 172.06/26.41  | 
% 172.06/26.41  | Case 1:
% 172.06/26.41  | | 
% 172.06/26.41  | |   (14)  all_56_1 = e2
% 172.06/26.41  | | 
% 172.06/26.41  | | COMBINE_EQS: (1), (14) imply:
% 172.06/26.41  | |   (15)  all_52_4 = e2
% 172.06/26.41  | | 
% 172.06/26.41  | | COMBINE_EQS: (10), (15) imply:
% 172.06/26.41  | |   (16)  all_58_20 = e2
% 172.06/26.41  | | 
% 172.06/26.41  | | REDUCE: (3), (15) imply:
% 172.06/26.41  | |   (17)   ~ (all_4_2 = e2)
% 172.06/26.41  | | 
% 172.06/26.41  | | SIMP: (17) implies:
% 172.06/26.41  | |   (18)   ~ (all_4_2 = e2)
% 172.06/26.41  | | 
% 172.06/26.41  | | BETA: splitting (2) gives:
% 172.06/26.41  | | 
% 172.06/26.41  | | Case 1:
% 172.06/26.41  | | | 
% 172.06/26.41  | | |   (19)  all_58_22 = e1
% 172.06/26.41  | | | 
% 172.06/26.41  | | | REF_CLOSE: (7), (13), (19) are inconsistent by sub-proof #923.
% 172.06/26.41  | | | 
% 172.06/26.41  | | Case 2:
% 172.06/26.41  | | | 
% 172.06/26.41  | | |   (20)  all_58_20 = e3 | all_58_21 = e2
% 172.06/26.41  | | | 
% 172.06/26.41  | | | REF_CLOSE: (8), (11), (16), (18), (20) are inconsistent by sub-proof #212.
% 172.06/26.41  | | | 
% 172.06/26.41  | | End of split
% 172.06/26.41  | | 
% 172.06/26.41  | Case 2:
% 172.06/26.41  | | 
% 172.06/26.41  | |   (21)  all_56_4 = e2 | all_56_9 = e2
% 172.06/26.41  | | 
% 172.06/26.41  | | BETA: splitting (21) gives:
% 172.06/26.41  | | 
% 172.06/26.41  | | Case 1:
% 172.06/26.41  | | | 
% 172.06/26.41  | | |   (22)  all_56_4 = e2
% 172.06/26.41  | | | 
% 172.06/26.41  | | | COMBINE_EQS: (9), (22) imply:
% 172.06/26.41  | | |   (23)  all_52_8 = e2
% 172.06/26.41  | | | 
% 172.06/26.41  | | | REDUCE: (6), (23) imply:
% 172.06/26.41  | | |   (24)  $false
% 172.06/26.41  | | | 
% 172.06/26.41  | | | CLOSE: (24) is inconsistent.
% 172.06/26.41  | | | 
% 172.06/26.41  | | Case 2:
% 172.06/26.41  | | | 
% 172.06/26.41  | | |   (25)  all_56_9 = e2
% 172.06/26.41  | | | 
% 172.06/26.41  | | | COMBINE_EQS: (4), (25) imply:
% 172.06/26.41  | | |   (26)  e2 = e0
% 172.06/26.41  | | | 
% 172.06/26.41  | | | REDUCE: (12), (26) imply:
% 172.06/26.41  | | |   (27)  $false
% 172.06/26.41  | | | 
% 172.06/26.41  | | | CLOSE: (27) is inconsistent.
% 172.06/26.41  | | | 
% 172.06/26.41  | | End of split
% 172.06/26.41  | | 
% 172.06/26.41  | End of split
% 172.06/26.41  | 
% 172.06/26.41  End of proof
% 172.06/26.41  
% 172.06/26.41  Sub-proof #212 shows that the following formulas are inconsistent:
% 172.06/26.41  ----------------------------------------------------------------
% 172.06/26.41    (1)   ~ (e3 = e2)
% 172.06/26.41    (2)  all_58_20 = e2
% 172.06/26.41    (3)  all_58_20 = e3 | all_58_21 = e2
% 172.06/26.41    (4)  all_58_21 = all_4_2
% 172.06/26.41    (5)   ~ (all_4_2 = e2)
% 172.06/26.41  
% 172.06/26.41  Begin of proof
% 172.06/26.41  | 
% 172.06/26.41  | BETA: splitting (3) gives:
% 172.06/26.41  | 
% 172.06/26.41  | Case 1:
% 172.06/26.41  | | 
% 172.06/26.41  | |   (6)  all_58_21 = e2
% 172.06/26.41  | | 
% 172.06/26.41  | | COMBINE_EQS: (4), (6) imply:
% 172.06/26.41  | |   (7)  all_4_2 = e2
% 172.06/26.41  | | 
% 172.06/26.41  | | REDUCE: (5), (7) imply:
% 172.06/26.41  | |   (8)  $false
% 172.06/26.41  | | 
% 172.06/26.41  | | CLOSE: (8) is inconsistent.
% 172.06/26.41  | | 
% 172.06/26.41  | Case 2:
% 172.06/26.41  | | 
% 172.06/26.41  | |   (9)  all_58_20 = e3
% 172.06/26.41  | | 
% 172.06/26.41  | | REF_CLOSE: (1), (2), (9) are inconsistent by sub-proof #768.
% 172.06/26.41  | | 
% 172.06/26.41  | End of split
% 172.06/26.41  | 
% 172.06/26.41  End of proof
% 172.06/26.41  
% 172.06/26.41  Sub-proof #213 shows that the following formulas are inconsistent:
% 172.06/26.41  ----------------------------------------------------------------
% 172.06/26.41    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.06/26.41    (2)   ~ (all_52_8 = all_52_12)
% 172.06/26.41    (3)   ~ (all_52_13 = all_4_2)
% 172.06/26.41    (4)  all_56_12 = e0
% 172.06/26.41    (5)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.06/26.41    (6)  all_58_30 = e0
% 172.06/26.41    (7)  all_58_26 = all_10_2
% 172.06/26.41    (8)  all_58_25 = e0
% 172.06/26.41    (9)  all_58_20 = e0
% 172.06/26.41    (10)   ~ (all_52_2 = all_52_6)
% 172.06/26.41    (11)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.06/26.41    (12)   ~ (all_52_2 = e0)
% 172.06/26.41    (13)  all_58_29 = all_52_13
% 172.06/26.41    (14)  all_56_6 = all_52_2
% 172.06/26.41    (15)  all_56_6 = e1 | all_56_12 = e1
% 172.06/26.41    (16)  all_58_24 = all_52_8
% 172.06/26.41    (17)  all_58_22 = all_52_6
% 172.06/26.41    (18)  all_58_21 = all_4_2
% 172.06/26.41    (19)   ~ (e2 = e0)
% 172.06/26.41    (20)  all_58_28 = all_52_12
% 172.06/26.41    (21)   ~ (e1 = e0)
% 172.06/26.41    (22)   ~ (all_52_8 = e0)
% 172.06/26.41    (23)   ~ (all_52_2 = all_10_2)
% 172.06/26.41  
% 172.06/26.41  Begin of proof
% 172.06/26.41  | 
% 172.06/26.41  | BETA: splitting (15) gives:
% 172.06/26.41  | 
% 172.06/26.41  | Case 1:
% 172.06/26.41  | | 
% 172.06/26.41  | |   (24)  all_56_6 = e1
% 172.06/26.41  | | 
% 172.06/26.41  | | COMBINE_EQS: (14), (24) imply:
% 172.06/26.41  | |   (25)  all_52_2 = e1
% 172.06/26.41  | | 
% 172.06/26.41  | | REDUCE: (10), (25) imply:
% 172.06/26.41  | |   (26)   ~ (all_52_6 = e1)
% 172.06/26.41  | | 
% 172.06/26.41  | | SIMP: (26) implies:
% 172.06/26.41  | |   (27)   ~ (all_52_6 = e1)
% 172.06/26.41  | | 
% 172.06/26.41  | | REDUCE: (23), (25) imply:
% 172.06/26.41  | |   (28)   ~ (all_10_2 = e1)
% 172.06/26.41  | | 
% 172.06/26.41  | | SIMP: (28) implies:
% 172.06/26.41  | |   (29)   ~ (all_10_2 = e1)
% 172.06/26.41  | | 
% 172.06/26.41  | | BETA: splitting (1) gives:
% 172.06/26.41  | | 
% 172.06/26.41  | | Case 1:
% 172.06/26.41  | | | 
% 172.06/26.41  | | |   (30)  all_58_22 = e1
% 172.06/26.41  | | | 
% 172.06/26.41  | | | COMBINE_EQS: (17), (30) imply:
% 172.06/26.41  | | |   (31)  all_52_6 = e1
% 172.06/26.41  | | | 
% 172.06/26.41  | | | REDUCE: (27), (31) imply:
% 172.06/26.41  | | |   (32)  $false
% 172.06/26.41  | | | 
% 172.06/26.41  | | | CLOSE: (32) is inconsistent.
% 172.06/26.41  | | | 
% 172.06/26.41  | | Case 2:
% 172.06/26.41  | | | 
% 172.06/26.41  | | |   (33)  all_58_20 = e3 | all_58_21 = e2
% 172.06/26.41  | | | 
% 172.06/26.41  | | | BETA: splitting (11) gives:
% 172.06/26.41  | | | 
% 172.06/26.41  | | | Case 1:
% 172.06/26.41  | | | | 
% 172.06/26.41  | | | |   (34)  all_58_26 = e1
% 172.06/26.41  | | | | 
% 172.06/26.41  | | | | COMBINE_EQS: (7), (34) imply:
% 172.06/26.41  | | | |   (35)  all_10_2 = e1
% 172.06/26.41  | | | | 
% 172.06/26.41  | | | | REDUCE: (29), (35) imply:
% 172.06/26.41  | | | |   (36)  $false
% 172.06/26.41  | | | | 
% 172.06/26.41  | | | | CLOSE: (36) is inconsistent.
% 172.06/26.41  | | | | 
% 172.06/26.41  | | | Case 2:
% 172.06/26.41  | | | | 
% 172.06/26.41  | | | |   (37)  all_58_24 = e3 | all_58_25 = e2
% 172.06/26.41  | | | | 
% 172.06/26.41  | | | | BETA: splitting (37) gives:
% 172.06/26.41  | | | | 
% 172.06/26.41  | | | | Case 1:
% 172.06/26.41  | | | | | 
% 172.06/26.41  | | | | |   (38)  all_58_25 = e2
% 172.06/26.41  | | | | | 
% 172.06/26.41  | | | | | REF_CLOSE: (8), (19), (38) are inconsistent by sub-proof #850.
% 172.06/26.41  | | | | | 
% 172.06/26.41  | | | | Case 2:
% 172.06/26.41  | | | | | 
% 172.06/26.41  | | | | |   (39)  all_58_24 = e3
% 172.06/26.41  | | | | | 
% 172.06/26.41  | | | | | COMBINE_EQS: (16), (39) imply:
% 172.06/26.41  | | | | |   (40)  all_52_8 = e3
% 172.06/26.41  | | | | | 
% 172.06/26.41  | | | | | REDUCE: (2), (40) imply:
% 172.06/26.41  | | | | |   (41)   ~ (all_52_12 = e3)
% 172.06/26.41  | | | | | 
% 172.06/26.41  | | | | | SIMP: (41) implies:
% 172.06/26.41  | | | | |   (42)   ~ (all_52_12 = e3)
% 172.06/26.41  | | | | | 
% 172.06/26.41  | | | | | REDUCE: (22), (40) imply:
% 172.06/26.41  | | | | |   (43)   ~ (e3 = e0)
% 172.06/26.41  | | | | | 
% 172.06/26.41  | | | | | BETA: splitting (5) gives:
% 172.06/26.41  | | | | | 
% 172.06/26.41  | | | | | Case 1:
% 172.06/26.41  | | | | | | 
% 172.06/26.41  | | | | | |   (44)  all_58_30 = e1
% 172.06/26.41  | | | | | | 
% 172.06/26.41  | | | | | | REF_CLOSE: (6), (21), (44) are inconsistent by sub-proof #838.
% 172.06/26.41  | | | | | | 
% 172.06/26.41  | | | | | Case 2:
% 172.06/26.41  | | | | | | 
% 172.06/26.41  | | | | | |   (45)  all_58_28 = e3 | all_58_29 = e2
% 172.06/26.41  | | | | | | 
% 172.06/26.41  | | | | | | REF_CLOSE: (3), (9), (13), (18), (20), (33), (42), (43), (45) are
% 172.06/26.41  | | | | | |            inconsistent by sub-proof #214.
% 172.06/26.41  | | | | | | 
% 172.06/26.41  | | | | | End of split
% 172.06/26.41  | | | | | 
% 172.06/26.41  | | | | End of split
% 172.06/26.41  | | | | 
% 172.06/26.41  | | | End of split
% 172.06/26.41  | | | 
% 172.06/26.41  | | End of split
% 172.06/26.41  | | 
% 172.06/26.41  | Case 2:
% 172.06/26.41  | | 
% 172.06/26.41  | |   (46)  all_56_12 = e1
% 172.06/26.41  | | 
% 172.06/26.41  | | COMBINE_EQS: (4), (46) imply:
% 172.06/26.41  | |   (47)  e1 = e0
% 172.06/26.41  | | 
% 172.06/26.41  | | REDUCE: (21), (47) imply:
% 172.06/26.41  | |   (48)  $false
% 172.06/26.41  | | 
% 172.06/26.41  | | CLOSE: (48) is inconsistent.
% 172.06/26.41  | | 
% 172.06/26.41  | End of split
% 172.06/26.41  | 
% 172.06/26.41  End of proof
% 172.06/26.41  
% 172.06/26.41  Sub-proof #214 shows that the following formulas are inconsistent:
% 172.06/26.41  ----------------------------------------------------------------
% 172.06/26.41    (1)   ~ (all_52_13 = all_4_2)
% 172.06/26.41    (2)   ~ (all_52_12 = e3)
% 172.06/26.41    (3)  all_58_28 = e3 | all_58_29 = e2
% 172.06/26.41    (4)  all_58_20 = e0
% 172.06/26.41    (5)   ~ (e3 = e0)
% 172.06/26.41    (6)  all_58_29 = all_52_13
% 172.06/26.41    (7)  all_58_20 = e3 | all_58_21 = e2
% 172.06/26.41    (8)  all_58_21 = all_4_2
% 172.06/26.41    (9)  all_58_28 = all_52_12
% 172.06/26.41  
% 172.06/26.41  Begin of proof
% 172.06/26.41  | 
% 172.06/26.41  | BETA: splitting (3) gives:
% 172.06/26.41  | 
% 172.06/26.41  | Case 1:
% 172.06/26.41  | | 
% 172.06/26.41  | |   (10)  all_58_29 = e2
% 172.06/26.41  | | 
% 172.06/26.41  | | COMBINE_EQS: (6), (10) imply:
% 172.06/26.41  | |   (11)  all_52_13 = e2
% 172.06/26.41  | | 
% 172.06/26.41  | | REDUCE: (1), (11) imply:
% 172.06/26.41  | |   (12)   ~ (all_4_2 = e2)
% 172.06/26.41  | | 
% 172.06/26.41  | | SIMP: (12) implies:
% 172.06/26.41  | |   (13)   ~ (all_4_2 = e2)
% 172.06/26.41  | | 
% 172.06/26.41  | | REF_CLOSE: (4), (5), (7), (8), (13) are inconsistent by sub-proof #974.
% 172.06/26.41  | | 
% 172.06/26.41  | Case 2:
% 172.06/26.41  | | 
% 172.06/26.41  | |   (14)  all_58_28 = e3
% 172.06/26.41  | | 
% 172.06/26.41  | | COMBINE_EQS: (9), (14) imply:
% 172.06/26.41  | |   (15)  all_52_12 = e3
% 172.06/26.41  | | 
% 172.06/26.41  | | REDUCE: (2), (15) imply:
% 172.06/26.41  | |   (16)  $false
% 172.06/26.41  | | 
% 172.06/26.41  | | CLOSE: (16) is inconsistent.
% 172.06/26.41  | | 
% 172.06/26.41  | End of split
% 172.06/26.41  | 
% 172.06/26.41  End of proof
% 172.06/26.41  
% 172.06/26.41  Sub-proof #215 shows that the following formulas are inconsistent:
% 172.06/26.41  ----------------------------------------------------------------
% 172.06/26.41    (1)  op(e1, e3) = all_52_2
% 172.06/26.41    (2)  all_58_23 = all_52_7
% 172.06/26.41    (3)   ~ (all_52_6 = all_4_2)
% 172.06/26.41    (4)  all_56_0 = e1
% 172.06/26.41    (5)  all_56_12 = e0
% 172.06/26.41    (6)   ~ (all_4_1 = e0)
% 172.06/26.41    (7)  op(all_4_2, e2) = all_4_1
% 172.06/26.41    (8)  all_58_20 = e0
% 172.06/26.41    (9)   ~ (e3 = e2)
% 172.06/26.41    (10)   ~ (e2 = e1)
% 172.06/26.41    (11)   ~ (all_52_1 = all_4_2)
% 172.06/26.41    (12)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.06/26.41    (13)  all_56_2 = all_52_1
% 172.06/26.41    (14)   ~ (e3 = e0)
% 172.06/26.41    (15)  op(e3, e2) = e0
% 172.06/26.41    (16)  all_8_2 = e1
% 172.06/26.41    (17)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.06/26.41    (18)  all_56_6 = all_52_2
% 172.06/26.41    (19)   ~ (all_52_7 = e0)
% 172.06/26.41    (20)  all_58_22 = all_52_6
% 172.06/26.41    (21)  all_56_3 = all_4_2
% 172.06/26.41    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.06/26.41            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.06/26.41    (23)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 172.06/26.41    (24)  all_58_21 = all_4_2
% 172.06/26.41    (25)   ~ (e2 = e0)
% 172.06/26.41    (26)  all_8_1 = all_6_1
% 172.06/26.41    (27)  all_54_5 = all_4_2
% 172.06/26.41    (28)  op(e1, e3) = all_6_1
% 172.06/26.41    (29)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 172.06/26.41    (30)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.06/26.41  
% 172.06/26.41  Begin of proof
% 172.06/26.41  | 
% 172.06/26.41  | BETA: splitting (29) gives:
% 172.06/26.41  | 
% 172.06/26.41  | Case 1:
% 172.06/26.41  | | 
% 172.06/26.41  | |   (31)   ~ (all_8_2 = e1)
% 172.06/26.41  | | 
% 172.06/26.41  | | REDUCE: (16), (31) imply:
% 172.06/26.41  | |   (32)  $false
% 172.06/26.41  | | 
% 172.06/26.41  | | CLOSE: (32) is inconsistent.
% 172.06/26.41  | | 
% 172.06/26.41  | Case 2:
% 172.06/26.41  | | 
% 172.06/26.41  | |   (33)   ~ (all_8_1 = e2)
% 172.06/26.41  | | 
% 172.06/26.41  | | REDUCE: (26), (33) imply:
% 172.06/26.41  | |   (34)   ~ (all_6_1 = e2)
% 172.06/26.41  | | 
% 172.06/26.41  | | GROUND_INST: instantiating (22) with all_52_2, all_6_1, e3, e1, simplifying
% 172.06/26.41  | |              with (1), (28) gives:
% 172.06/26.41  | |   (35)  all_52_2 = all_6_1
% 172.06/26.41  | | 
% 172.06/26.41  | | COMBINE_EQS: (18), (35) imply:
% 172.06/26.41  | |   (36)  all_56_6 = all_6_1
% 172.06/26.41  | | 
% 172.06/26.41  | | BETA: splitting (12) gives:
% 172.06/26.41  | | 
% 172.06/26.41  | | Case 1:
% 172.06/26.41  | | | 
% 172.06/26.41  | | |   (37)  all_56_0 = e2
% 172.06/26.41  | | | 
% 172.06/26.41  | | | REF_CLOSE: (4), (10), (37) are inconsistent by sub-proof #785.
% 172.06/26.41  | | | 
% 172.06/26.41  | | Case 2:
% 172.06/26.41  | | | 
% 172.06/26.41  | | |   (38)  all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.06/26.41  | | | 
% 172.06/26.41  | | | BETA: splitting (38) gives:
% 172.06/26.41  | | | 
% 172.06/26.41  | | | Case 1:
% 172.06/26.41  | | | | 
% 172.06/26.41  | | | |   (39)  all_56_2 = e2
% 172.06/26.41  | | | | 
% 172.06/26.41  | | | | COMBINE_EQS: (13), (39) imply:
% 172.06/26.41  | | | |   (40)  all_52_1 = e2
% 172.06/26.41  | | | | 
% 172.06/26.41  | | | | REF_CLOSE: (2), (3), (6), (7), (8), (9), (11), (13), (14), (15), (17),
% 172.06/26.41  | | | |            (19), (20), (21), (22), (23), (24), (27), (30), (40) are
% 172.06/26.41  | | | |            inconsistent by sub-proof #906.
% 172.06/26.41  | | | | 
% 172.06/26.41  | | | Case 2:
% 172.06/26.41  | | | | 
% 172.06/26.41  | | | |   (41)  all_56_6 = e2 | all_56_12 = e2
% 172.06/26.41  | | | | 
% 172.06/26.41  | | | | REF_CLOSE: (5), (25), (34), (36), (41) are inconsistent by sub-proof
% 172.06/26.41  | | | |            #220.
% 172.06/26.41  | | | | 
% 172.06/26.41  | | | End of split
% 172.06/26.41  | | | 
% 172.06/26.41  | | End of split
% 172.06/26.41  | | 
% 172.06/26.41  | End of split
% 172.06/26.41  | 
% 172.06/26.41  End of proof
% 172.06/26.41  
% 172.06/26.41  Sub-proof #216 shows that the following formulas are inconsistent:
% 172.06/26.41  ----------------------------------------------------------------
% 172.06/26.41    (1)  all_54_8 = all_52_2
% 172.06/26.41    (2)  all_56_1 = all_52_4
% 172.06/26.41    (3)  op(e1, e3) = all_52_2
% 172.06/26.41    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 172.06/26.41    (5)  all_58_23 = all_52_7
% 172.06/26.41    (6)   ~ (all_52_2 = all_6_2)
% 172.06/26.41    (7)  all_8_2 = all_6_2
% 172.06/26.41    (8)   ~ (all_52_4 = all_4_2)
% 172.06/26.41    (9)  all_56_5 = all_52_9
% 172.06/26.41    (10)  op(all_6_2, e3) = all_6_1
% 172.06/26.41    (11)   ~ (all_52_12 = all_6_2)
% 172.06/26.41    (12)   ~ (all_52_6 = all_4_2)
% 172.06/26.41    (13)  all_54_1 = all_52_4
% 172.06/26.41    (14)   ~ (all_52_9 = all_4_2)
% 172.06/26.41    (15)   ~ (all_52_13 = all_4_2)
% 172.06/26.41    (16)  all_56_12 = e0
% 172.06/26.41    (17)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.06/26.41    (18)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.06/26.41    (19)   ~ (all_52_9 = e0)
% 172.06/26.41    (20)  all_58_26 = all_10_2
% 172.06/26.41    (21)   ~ (all_52_4 = all_52_6)
% 172.06/26.41    (22)  all_58_31 = all_14_2
% 172.06/26.41    (23)   ~ (all_52_4 = e0)
% 172.06/26.41    (24)   ~ (all_52_1 = all_6_2)
% 172.06/26.41    (25)   ~ (all_52_6 = all_52_7)
% 172.06/26.41    (26)  all_56_0 = all_6_2
% 172.06/26.41    (27)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.06/26.41    (28)  all_58_30 = all_52_14
% 172.06/26.41    (29)  all_58_27 = all_52_11
% 172.06/26.41    (30)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 172.06/26.41    (31)   ~ (all_52_2 = all_52_6)
% 172.06/26.41    (32)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 172.06/26.41    (33)   ~ (e2 = e1)
% 172.06/26.41    (34)   ~ (all_52_13 = all_14_2)
% 172.06/26.41    (35)   ~ (all_52_1 = all_4_2)
% 172.06/26.41    (36)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.06/26.41    (37)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.06/26.41    (38)  op(e2, e3) = all_52_1
% 172.06/26.41    (39)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.06/26.41    (40)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.06/26.41    (41)  all_56_13 = all_52_7
% 172.06/26.41    (42)   ~ (all_52_4 = all_6_2)
% 172.06/26.41    (43)  all_56_2 = all_52_1
% 172.06/26.41    (44)  all_58_29 = all_52_13
% 172.06/26.41    (45)   ~ (all_52_1 = all_52_2)
% 172.06/26.41    (46)   ~ (all_4_2 = e0)
% 172.06/26.41    (47)   ~ (all_6_2 = e0)
% 172.06/26.41    (48)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 172.06/26.41    (49)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.06/26.41    (50)   ~ (all_52_1 = all_52_13)
% 172.06/26.41    (51)  all_58_20 = all_52_4
% 172.06/26.41    (52)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.06/26.41    (53)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 172.06/26.41    (54)  all_56_6 = all_52_2
% 172.06/26.41    (55)   ~ (all_52_1 = all_52_9)
% 172.06/26.41    (56)   ~ (all_52_7 = e0)
% 172.06/26.41    (57)  all_58_22 = all_52_6
% 172.06/26.41    (58)   ~ (all_52_4 = all_52_12)
% 172.06/26.41    (59)  all_56_3 = all_4_2
% 172.06/26.41    (60)  all_54_0 = all_6_2
% 172.06/26.41    (61)   ~ (all_52_14 = all_10_2)
% 172.06/26.41    (62)  all_58_24 = e0
% 172.06/26.41    (63)   ~ (all_52_11 = e0)
% 172.06/26.41    (64)   ~ (all_52_1 = e0)
% 172.06/26.41    (65)  all_58_25 = all_52_9
% 172.06/26.41    (66)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.06/26.41            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.06/26.41    (67)   ~ (all_52_2 = all_52_14)
% 172.06/26.41    (68)  all_58_21 = all_4_2
% 172.06/26.41    (69)  all_56_10 = all_52_13
% 172.06/26.41    (70)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.06/26.41    (71)   ~ (e2 = e0)
% 172.06/26.41    (72)  all_8_1 = all_6_1
% 172.06/26.41    (73)  all_58_28 = all_52_12
% 172.06/26.41    (74)   ~ (e1 = e0)
% 172.06/26.41    (75)  all_54_4 = all_52_1
% 172.06/26.41    (76)  all_56_7 = all_52_6
% 172.06/26.41    (77)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 172.06/26.41    (78)   ~ (all_52_2 = all_10_2)
% 172.06/26.41    (79)   ~ (all_52_12 = all_52_13)
% 172.06/26.41  
% 172.06/26.41  Begin of proof
% 172.06/26.41  | 
% 172.06/26.41  | BETA: splitting (49) gives:
% 172.06/26.41  | 
% 172.06/26.41  | Case 1:
% 172.06/26.41  | | 
% 172.06/26.41  | |   (80)  all_56_2 = e0
% 172.06/26.41  | | 
% 172.06/26.41  | | COMBINE_EQS: (43), (80) imply:
% 172.06/26.41  | |   (81)  all_52_1 = e0
% 172.06/26.41  | | 
% 172.06/26.41  | | REDUCE: (64), (81) imply:
% 172.06/26.41  | |   (82)  $false
% 172.06/26.41  | | 
% 172.06/26.41  | | CLOSE: (82) is inconsistent.
% 172.06/26.41  | | 
% 172.06/26.41  | Case 2:
% 172.06/26.41  | | 
% 172.06/26.41  | |   (83)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.06/26.41  | | 
% 172.06/26.41  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 172.06/26.41  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 172.06/26.41  | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 172.06/26.41  | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (44), (45),
% 172.06/26.41  | |            (46), (47), (48), (50), (51), (52), (53), (54), (55), (56), (57),
% 172.06/26.41  | |            (58), (59), (60), (61), (62), (63), (65), (66), (67), (68), (69),
% 172.06/26.41  | |            (70), (71), (72), (73), (74), (75), (76), (77), (78), (79), (83)
% 172.06/26.41  | |            are inconsistent by sub-proof #217.
% 172.06/26.41  | | 
% 172.06/26.41  | End of split
% 172.06/26.41  | 
% 172.06/26.41  End of proof
% 172.06/26.41  
% 172.06/26.41  Sub-proof #217 shows that the following formulas are inconsistent:
% 172.06/26.41  ----------------------------------------------------------------
% 172.06/26.41    (1)  all_54_8 = all_52_2
% 172.06/26.41    (2)  all_56_1 = all_52_4
% 172.06/26.41    (3)  op(e1, e3) = all_52_2
% 172.06/26.41    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 172.06/26.41    (5)  all_58_23 = all_52_7
% 172.06/26.41    (6)   ~ (all_52_2 = all_6_2)
% 172.06/26.41    (7)  all_8_2 = all_6_2
% 172.06/26.41    (8)   ~ (all_52_4 = all_4_2)
% 172.06/26.41    (9)  all_56_5 = all_52_9
% 172.06/26.41    (10)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.06/26.41    (11)  op(all_6_2, e3) = all_6_1
% 172.06/26.41    (12)   ~ (all_52_12 = all_6_2)
% 172.06/26.41    (13)   ~ (all_52_6 = all_4_2)
% 172.06/26.41    (14)  all_54_1 = all_52_4
% 172.06/26.41    (15)   ~ (all_52_9 = all_4_2)
% 172.06/26.41    (16)   ~ (all_52_13 = all_4_2)
% 172.06/26.41    (17)  all_56_12 = e0
% 172.06/26.41    (18)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.06/26.41    (19)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.06/26.41    (20)   ~ (all_52_9 = e0)
% 172.06/26.41    (21)  all_58_26 = all_10_2
% 172.06/26.41    (22)   ~ (all_52_4 = all_52_6)
% 172.06/26.41    (23)  all_58_31 = all_14_2
% 172.06/26.41    (24)   ~ (all_52_4 = e0)
% 172.06/26.41    (25)   ~ (all_52_1 = all_6_2)
% 172.06/26.41    (26)   ~ (all_52_6 = all_52_7)
% 172.06/26.41    (27)  all_56_0 = all_6_2
% 172.06/26.41    (28)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.06/26.41    (29)  all_58_30 = all_52_14
% 172.06/26.41    (30)  all_58_27 = all_52_11
% 172.06/26.41    (31)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 172.06/26.41    (32)   ~ (all_52_2 = all_52_6)
% 172.06/26.41    (33)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 172.06/26.41    (34)   ~ (e2 = e1)
% 172.06/26.41    (35)   ~ (all_52_13 = all_14_2)
% 172.06/26.41    (36)   ~ (all_52_1 = all_4_2)
% 172.06/26.41    (37)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.06/26.41    (38)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.06/26.41    (39)  op(e2, e3) = all_52_1
% 172.06/26.41    (40)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.06/26.41    (41)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.06/26.41    (42)  all_56_13 = all_52_7
% 172.06/26.41    (43)   ~ (all_52_4 = all_6_2)
% 172.06/26.41    (44)  all_56_2 = all_52_1
% 172.06/26.41    (45)  all_58_29 = all_52_13
% 172.06/26.41    (46)   ~ (all_52_1 = all_52_2)
% 172.06/26.41    (47)   ~ (all_4_2 = e0)
% 172.06/26.41    (48)   ~ (all_6_2 = e0)
% 172.06/26.41    (49)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 172.06/26.41    (50)   ~ (all_52_1 = all_52_13)
% 172.06/26.41    (51)  all_58_20 = all_52_4
% 172.06/26.41    (52)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.06/26.41    (53)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 172.06/26.41    (54)  all_56_6 = all_52_2
% 172.06/26.41    (55)   ~ (all_52_1 = all_52_9)
% 172.06/26.41    (56)   ~ (all_52_7 = e0)
% 172.06/26.41    (57)  all_58_22 = all_52_6
% 172.06/26.41    (58)   ~ (all_52_4 = all_52_12)
% 172.06/26.41    (59)  all_56_3 = all_4_2
% 172.06/26.41    (60)  all_54_0 = all_6_2
% 172.06/26.41    (61)   ~ (all_52_14 = all_10_2)
% 172.06/26.41    (62)  all_58_24 = e0
% 172.06/26.41    (63)   ~ (all_52_11 = e0)
% 172.06/26.41    (64)  all_58_25 = all_52_9
% 172.06/26.41    (65)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.06/26.41            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.06/26.41    (66)   ~ (all_52_2 = all_52_14)
% 172.06/26.41    (67)  all_58_21 = all_4_2
% 172.06/26.41    (68)  all_56_10 = all_52_13
% 172.06/26.41    (69)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.06/26.41    (70)   ~ (e2 = e0)
% 172.06/26.41    (71)  all_8_1 = all_6_1
% 172.06/26.41    (72)  all_58_28 = all_52_12
% 172.06/26.41    (73)   ~ (e1 = e0)
% 172.06/26.41    (74)  all_54_4 = all_52_1
% 172.06/26.41    (75)  all_56_7 = all_52_6
% 172.06/26.41    (76)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 172.06/26.41    (77)   ~ (all_52_2 = all_10_2)
% 172.06/26.41    (78)   ~ (all_52_12 = all_52_13)
% 172.06/26.41  
% 172.06/26.41  Begin of proof
% 172.06/26.41  | 
% 172.06/26.41  | BETA: splitting (41) gives:
% 172.06/26.41  | 
% 172.06/26.41  | Case 1:
% 172.06/26.41  | | 
% 172.06/26.41  | |   (79)  all_56_1 = e0
% 172.06/26.41  | | 
% 172.06/26.41  | | COMBINE_EQS: (2), (79) imply:
% 172.06/26.41  | |   (80)  all_52_4 = e0
% 172.06/26.41  | | 
% 172.06/26.41  | | REDUCE: (24), (80) imply:
% 172.06/26.41  | |   (81)  $false
% 172.06/26.41  | | 
% 172.06/26.41  | | CLOSE: (81) is inconsistent.
% 172.06/26.41  | | 
% 172.06/26.41  | Case 2:
% 172.06/26.41  | | 
% 172.06/26.41  | |   (82)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.06/26.41  | | 
% 172.06/26.41  | | BETA: splitting (82) gives:
% 172.06/26.41  | | 
% 172.06/26.41  | | Case 1:
% 172.06/26.41  | | | 
% 172.06/26.41  | | |   (83)  all_56_3 = e0
% 172.06/26.41  | | | 
% 172.06/26.41  | | | COMBINE_EQS: (59), (83) imply:
% 172.06/26.41  | | |   (84)  all_4_2 = e0
% 172.06/26.41  | | | 
% 172.06/26.41  | | | REDUCE: (47), (84) imply:
% 172.06/26.41  | | |   (85)  $false
% 172.06/26.41  | | | 
% 172.06/26.41  | | | CLOSE: (85) is inconsistent.
% 172.06/26.41  | | | 
% 172.06/26.41  | | Case 2:
% 172.06/26.41  | | | 
% 172.06/26.41  | | |   (86)  all_56_7 = e0 | all_56_13 = e0
% 172.06/26.42  | | | 
% 172.06/26.42  | | | BETA: splitting (86) gives:
% 172.06/26.42  | | | 
% 172.06/26.42  | | | Case 1:
% 172.06/26.42  | | | | 
% 172.06/26.42  | | | |   (87)  all_56_7 = e0
% 172.06/26.42  | | | | 
% 172.06/26.42  | | | | COMBINE_EQS: (75), (87) imply:
% 172.06/26.42  | | | |   (88)  all_52_6 = e0
% 172.06/26.42  | | | | 
% 172.06/26.42  | | | | COMBINE_EQS: (57), (88) imply:
% 172.06/26.42  | | | |   (89)  all_58_22 = e0
% 172.06/26.42  | | | | 
% 172.06/26.42  | | | | REDUCE: (32), (88) imply:
% 172.06/26.42  | | | |   (90)   ~ (all_52_2 = e0)
% 172.06/26.42  | | | | 
% 172.06/26.42  | | | | REDUCE: (26), (88) imply:
% 172.06/26.42  | | | |   (91)   ~ (all_52_7 = e0)
% 172.06/26.42  | | | | 
% 172.06/26.42  | | | | REDUCE: (13), (88) imply:
% 172.06/26.42  | | | |   (92)   ~ (all_4_2 = e0)
% 172.06/26.42  | | | | 
% 172.06/26.42  | | | | BETA: splitting (10) gives:
% 172.06/26.42  | | | | 
% 172.06/26.42  | | | | Case 1:
% 172.06/26.42  | | | | | 
% 172.06/26.42  | | | | |   (93)  all_56_3 = e0
% 172.06/26.42  | | | | | 
% 172.06/26.42  | | | | | COMBINE_EQS: (59), (93) imply:
% 172.06/26.42  | | | | |   (94)  all_4_2 = e0
% 172.06/26.42  | | | | | 
% 172.06/26.42  | | | | | REDUCE: (47), (94) imply:
% 172.06/26.42  | | | | |   (95)  $false
% 172.06/26.42  | | | | | 
% 172.06/26.42  | | | | | CLOSE: (95) is inconsistent.
% 172.06/26.42  | | | | | 
% 172.06/26.42  | | | | Case 2:
% 172.06/26.42  | | | | | 
% 172.06/26.42  | | | | |   (96)  all_56_5 = e0 | all_56_10 = e0
% 172.06/26.42  | | | | | 
% 172.06/26.42  | | | | | BETA: splitting (96) gives:
% 172.06/26.42  | | | | | 
% 172.06/26.42  | | | | | Case 1:
% 172.06/26.42  | | | | | | 
% 172.06/26.42  | | | | | |   (97)  all_56_5 = e0
% 172.06/26.42  | | | | | | 
% 172.06/26.42  | | | | | | COMBINE_EQS: (9), (97) imply:
% 172.06/26.42  | | | | | |   (98)  all_52_9 = e0
% 172.06/26.42  | | | | | | 
% 172.06/26.42  | | | | | | REDUCE: (20), (98) imply:
% 172.06/26.42  | | | | | |   (99)  $false
% 172.06/26.42  | | | | | | 
% 172.06/26.42  | | | | | | CLOSE: (99) is inconsistent.
% 172.06/26.42  | | | | | | 
% 172.06/26.42  | | | | | Case 2:
% 172.06/26.42  | | | | | | 
% 172.06/26.42  | | | | | |   (100)  all_56_10 = e0
% 172.06/26.42  | | | | | | 
% 172.06/26.42  | | | | | | COMBINE_EQS: (68), (100) imply:
% 172.06/26.42  | | | | | |   (101)  all_52_13 = e0
% 172.06/26.42  | | | | | | 
% 172.06/26.42  | | | | | | SIMP: (101) implies:
% 172.06/26.42  | | | | | |   (102)  all_52_13 = e0
% 172.06/26.42  | | | | | | 
% 172.06/26.42  | | | | | | COMBINE_EQS: (45), (102) imply:
% 172.06/26.42  | | | | | |   (103)  all_58_29 = e0
% 172.06/26.42  | | | | | | 
% 172.06/26.42  | | | | | | REDUCE: (50), (102) imply:
% 172.06/26.42  | | | | | |   (104)   ~ (all_52_1 = e0)
% 172.06/26.42  | | | | | | 
% 172.06/26.42  | | | | | | REDUCE: (78), (102) imply:
% 172.06/26.42  | | | | | |   (105)   ~ (all_52_12 = e0)
% 172.06/26.42  | | | | | | 
% 172.06/26.42  | | | | | | REDUCE: (35), (102) imply:
% 172.06/26.42  | | | | | |   (106)   ~ (all_14_2 = e0)
% 172.06/26.42  | | | | | | 
% 172.06/26.42  | | | | | | SIMP: (106) implies:
% 172.06/26.42  | | | | | |   (107)   ~ (all_14_2 = e0)
% 172.06/26.42  | | | | | | 
% 172.06/26.42  | | | | | | BETA: splitting (4) gives:
% 172.06/26.42  | | | | | | 
% 172.06/26.42  | | | | | | Case 1:
% 172.06/26.42  | | | | | | | 
% 172.06/26.42  | | | | | | |   (108)  all_54_0 = e0
% 172.06/26.42  | | | | | | | 
% 172.06/26.42  | | | | | | | REF_CLOSE: (48), (60), (108) are inconsistent by sub-proof #984.
% 172.06/26.42  | | | | | | | 
% 172.06/26.42  | | | | | | Case 2:
% 172.06/26.42  | | | | | | | 
% 172.06/26.42  | | | | | | |   (109)   ~ (all_54_0 = e0)
% 172.06/26.42  | | | | | | |   (110)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.06/26.42  | | | | | | | 
% 172.06/26.42  | | | | | | | BETA: splitting (38) gives:
% 172.06/26.42  | | | | | | | 
% 172.06/26.42  | | | | | | | Case 1:
% 172.06/26.42  | | | | | | | | 
% 172.06/26.42  | | | | | | | |   (111)  all_54_1 = e0
% 172.06/26.42  | | | | | | | | 
% 172.06/26.42  | | | | | | | | REF_CLOSE: (14), (24), (111) are inconsistent by sub-proof #866.
% 172.06/26.42  | | | | | | | | 
% 172.06/26.42  | | | | | | | Case 2:
% 172.06/26.42  | | | | | | | | 
% 172.06/26.42  | | | | | | | |   (112)   ~ (all_54_1 = e0)
% 172.06/26.42  | | | | | | | |   (113)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 172.06/26.42  | | | | | | | | 
% 172.06/26.42  | | | | | | | | BETA: splitting (53) gives:
% 172.06/26.42  | | | | | | | | 
% 172.06/26.42  | | | | | | | | Case 1:
% 172.06/26.42  | | | | | | | | | 
% 172.06/26.42  | | | | | | | | |   (114)  all_54_4 = e0
% 172.06/26.42  | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | REF_CLOSE: (74), (104), (114) are inconsistent by sub-proof
% 172.06/26.42  | | | | | | | | |            #902.
% 172.06/26.42  | | | | | | | | | 
% 172.06/26.42  | | | | | | | | Case 2:
% 172.06/26.42  | | | | | | | | | 
% 172.06/26.42  | | | | | | | | |   (115)   ~ (all_54_4 = e0)
% 172.06/26.42  | | | | | | | | |   (116)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 172.06/26.42  | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | BETA: splitting (49) gives:
% 172.06/26.42  | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | Case 1:
% 172.06/26.42  | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | |   (117)  all_54_8 = e0
% 172.06/26.42  | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | REF_CLOSE: (1), (90), (117) are inconsistent by sub-proof
% 172.06/26.42  | | | | | | | | | |            #839.
% 172.06/26.42  | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | Case 2:
% 172.06/26.42  | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | |   (118)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 172.06/26.42  | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | BETA: splitting (19) gives:
% 172.06/26.42  | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | Case 1:
% 172.06/26.42  | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | |   (119)  all_58_31 = e0
% 172.06/26.42  | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | COMBINE_EQS: (23), (119) imply:
% 172.06/26.42  | | | | | | | | | | |   (120)  all_14_2 = e0
% 172.06/26.42  | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | REDUCE: (107), (120) imply:
% 172.06/26.42  | | | | | | | | | | |   (121)  $false
% 172.06/26.42  | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | CLOSE: (121) is inconsistent.
% 172.06/26.42  | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | Case 2:
% 172.06/26.42  | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | |   (122)   ~ (all_58_31 = e0)
% 172.06/26.42  | | | | | | | | | | |   (123)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.06/26.42  | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | BETA: splitting (28) gives:
% 172.06/26.42  | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | Case 1:
% 172.06/26.42  | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | |   (124)  all_58_27 = e0
% 172.06/26.42  | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | COMBINE_EQS: (30), (124) imply:
% 172.06/26.42  | | | | | | | | | | | |   (125)  all_52_11 = e0
% 172.06/26.42  | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | REDUCE: (63), (125) imply:
% 172.06/26.42  | | | | | | | | | | | |   (126)  $false
% 172.06/26.42  | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | CLOSE: (126) is inconsistent.
% 172.06/26.42  | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | Case 2:
% 172.06/26.42  | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | |   (127)   ~ (all_58_27 = e0)
% 172.06/26.42  | | | | | | | | | | | |   (128)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.06/26.42  | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | BETA: splitting (52) gives:
% 172.06/26.42  | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | Case 1:
% 172.06/26.42  | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | |   (129)  all_58_23 = e0
% 172.06/26.42  | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | COMBINE_EQS: (5), (129) imply:
% 172.06/26.42  | | | | | | | | | | | | |   (130)  all_52_7 = e0
% 172.06/26.42  | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | REDUCE: (56), (130) imply:
% 172.06/26.42  | | | | | | | | | | | | |   (131)  $false
% 172.06/26.42  | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | CLOSE: (131) is inconsistent.
% 172.06/26.42  | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | Case 2:
% 172.06/26.42  | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | |   (132)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.06/26.42  | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | BETA: splitting (31) gives:
% 172.06/26.42  | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | Case 1:
% 172.06/26.42  | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | |   (133)  all_56_6 = e1
% 172.06/26.42  | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | COMBINE_EQS: (54), (133) imply:
% 172.06/26.42  | | | | | | | | | | | | | |   (134)  all_52_2 = e1
% 172.06/26.42  | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | SIMP: (134) implies:
% 172.06/26.42  | | | | | | | | | | | | | |   (135)  all_52_2 = e1
% 172.06/26.42  | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | REDUCE: (46), (135) imply:
% 172.06/26.42  | | | | | | | | | | | | | |   (136)   ~ (all_52_1 = e1)
% 172.06/26.42  | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | REDUCE: (66), (135) imply:
% 172.06/26.42  | | | | | | | | | | | | | |   (137)   ~ (all_52_14 = e1)
% 172.06/26.42  | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | SIMP: (137) implies:
% 172.06/26.42  | | | | | | | | | | | | | |   (138)   ~ (all_52_14 = e1)
% 172.06/26.42  | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | REDUCE: (77), (135) imply:
% 172.06/26.42  | | | | | | | | | | | | | |   (139)   ~ (all_10_2 = e1)
% 172.06/26.42  | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | SIMP: (139) implies:
% 172.06/26.42  | | | | | | | | | | | | | |   (140)   ~ (all_10_2 = e1)
% 172.06/26.42  | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | REDUCE: (6), (135) imply:
% 172.06/26.42  | | | | | | | | | | | | | |   (141)   ~ (all_6_2 = e1)
% 172.06/26.42  | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | SIMP: (141) implies:
% 172.06/26.42  | | | | | | | | | | | | | |   (142)   ~ (all_6_2 = e1)
% 172.06/26.42  | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | BETA: splitting (123) gives:
% 172.06/26.42  | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | Case 1:
% 172.06/26.42  | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | |   (143)  all_58_30 = e1
% 172.06/26.42  | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | COMBINE_EQS: (29), (143) imply:
% 172.06/26.42  | | | | | | | | | | | | | | |   (144)  all_52_14 = e1
% 172.06/26.42  | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | REDUCE: (138), (144) imply:
% 172.06/26.42  | | | | | | | | | | | | | | |   (145)  $false
% 172.06/26.42  | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | CLOSE: (145) is inconsistent.
% 172.06/26.42  | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | Case 2:
% 172.06/26.42  | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | |   (146)  all_58_28 = e3 | all_58_29 = e2
% 172.06/26.42  | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | BETA: splitting (128) gives:
% 172.06/26.42  | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | Case 1:
% 172.06/26.42  | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | |   (147)  all_58_26 = e1
% 172.06/26.42  | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | REF_CLOSE: (21), (140), (147) are inconsistent by sub-proof
% 172.06/26.42  | | | | | | | | | | | | | | | |            #968.
% 172.06/26.42  | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | Case 2:
% 172.06/26.42  | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | |   (148)  all_58_24 = e3 | all_58_25 = e2
% 172.06/26.42  | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | BETA: splitting (69) gives:
% 172.06/26.42  | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | Case 1:
% 172.06/26.42  | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | |   (149)  all_56_2 = e1
% 172.06/26.42  | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | COMBINE_EQS: (44), (149) imply:
% 172.06/26.42  | | | | | | | | | | | | | | | | |   (150)  all_52_1 = e1
% 172.06/26.42  | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | REDUCE: (136), (150) imply:
% 172.06/26.42  | | | | | | | | | | | | | | | | |   (151)  $false
% 172.06/26.42  | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | CLOSE: (151) is inconsistent.
% 172.06/26.42  | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | Case 2:
% 172.06/26.42  | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | |   (152)   ~ (all_56_2 = e1)
% 172.06/26.42  | | | | | | | | | | | | | | | | |   (153)  all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.06/26.42  | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | BETA: splitting (40) gives:
% 172.06/26.42  | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | Case 1:
% 172.06/26.42  | | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | |   (154)  all_56_0 = e2
% 172.06/26.42  | | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (27), (154) imply:
% 172.06/26.42  | | | | | | | | | | | | | | | | | |   (155)  all_6_2 = e2
% 172.06/26.42  | | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | | REDUCE: (43), (155) imply:
% 172.06/26.42  | | | | | | | | | | | | | | | | | |   (156)   ~ (all_52_4 = e2)
% 172.06/26.42  | | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (14), (24), (58), (59), (62), (64),
% 172.06/26.42  | | | | | | | | | | | | | | | | | |            (70), (72), (100), (103), (105), (113), (146),
% 172.06/26.42  | | | | | | | | | | | | | | | | | |            (148), (153), (156) are inconsistent by sub-proof
% 172.06/26.42  | | | | | | | | | | | | | | | | | |            #788.
% 172.06/26.42  | | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | Case 2:
% 172.06/26.42  | | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | |   (157)   ~ (all_56_0 = e2)
% 172.06/26.42  | | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | | REDUCE: (27), (157) imply:
% 172.06/26.42  | | | | | | | | | | | | | | | | | |   (158)   ~ (all_6_2 = e2)
% 172.06/26.42  | | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (19), (21), (23), (25), (28), (29), (30),
% 172.06/26.42  | | | | | | | | | | | | | | | | | |            (48), (55), (60), (61), (62), (63), (64), (72),
% 172.06/26.42  | | | | | | | | | | | | | | | | | |            (74), (103), (104), (107), (110), (116), (136),
% 172.06/26.42  | | | | | | | | | | | | | | | | | |            (142), (158) are inconsistent by sub-proof #868.
% 172.06/26.42  | | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | End of split
% 172.06/26.42  | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | End of split
% 172.06/26.42  | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | End of split
% 172.06/26.42  | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | End of split
% 172.06/26.42  | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | Case 2:
% 172.06/26.42  | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | |   (159)   ~ (all_56_6 = e1)
% 172.06/26.42  | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | REDUCE: (54), (159) imply:
% 172.06/26.42  | | | | | | | | | | | | | |   (160)   ~ (all_52_2 = e1)
% 172.06/26.42  | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | BETA: splitting (37) gives:
% 172.06/26.42  | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | Case 1:
% 172.06/26.42  | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | |   (161)  all_56_0 = e1
% 172.06/26.42  | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | COMBINE_EQS: (27), (161) imply:
% 172.06/26.42  | | | | | | | | | | | | | | |   (162)  all_6_2 = e1
% 172.06/26.42  | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | COMBINE_EQS: (7), (162) imply:
% 172.06/26.42  | | | | | | | | | | | | | | |   (163)  all_8_2 = e1
% 172.06/26.42  | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | REDUCE: (11), (162) imply:
% 172.06/26.42  | | | | | | | | | | | | | | |   (164)  op(e1, e3) = all_6_1
% 172.06/26.42  | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | REF_CLOSE: (3), (17), (21), (24), (29), (34), (36), (40),
% 172.06/26.42  | | | | | | | | | | | | | | |            (44), (51), (54), (55), (58), (61), (62), (64),
% 172.06/26.42  | | | | | | | | | | | | | | |            (65), (67), (70), (71), (72), (73), (76), (89),
% 172.06/26.42  | | | | | | | | | | | | | | |            (103), (104), (123), (128), (132), (161), (163),
% 172.06/26.42  | | | | | | | | | | | | | | |            (164) are inconsistent by sub-proof #219.
% 172.06/26.42  | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | Case 2:
% 172.06/26.42  | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | |   (165)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.06/26.42  | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 172.06/26.42  | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | Case 1:
% 172.06/26.42  | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | |   (166)  all_56_2 = e1
% 172.06/26.42  | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | COMBINE_EQS: (44), (166) imply:
% 172.06/26.42  | | | | | | | | | | | | | | | |   (167)  all_52_1 = e1
% 172.06/26.42  | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | REDUCE: (46), (167) imply:
% 172.06/26.42  | | | | | | | | | | | | | | | |   (168)   ~ (all_52_2 = e1)
% 172.06/26.42  | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | REDUCE: (25), (167) imply:
% 172.06/26.42  | | | | | | | | | | | | | | | |   (169)   ~ (all_6_2 = e1)
% 172.06/26.42  | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | SIMP: (169) implies:
% 172.06/26.42  | | | | | | | | | | | | | | | |   (170)   ~ (all_6_2 = e1)
% 172.06/26.42  | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | REDUCE: (39), (167) imply:
% 172.06/26.42  | | | | | | | | | | | | | | | |   (171)  op(e2, e3) = e1
% 172.06/26.42  | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | BETA: splitting (40) gives:
% 172.06/26.42  | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | Case 1:
% 172.06/26.42  | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | |   (172)  all_56_0 = e2
% 172.06/26.42  | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (11), (27), (33), (60), (65), (110),
% 172.06/26.42  | | | | | | | | | | | | | | | | |            (118), (160), (170), (171), (172) are inconsistent
% 172.06/26.42  | | | | | | | | | | | | | | | | |            by sub-proof #218.
% 172.06/26.42  | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | Case 2:
% 172.06/26.42  | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | |   (173)   ~ (all_56_0 = e2)
% 172.06/26.42  | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | REDUCE: (27), (173) imply:
% 172.06/26.42  | | | | | | | | | | | | | | | | |   (174)   ~ (all_6_2 = e2)
% 172.06/26.42  | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 172.06/26.42  | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | Case 1:
% 172.06/26.42  | | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | |   (175)  all_54_0 = e1
% 172.06/26.42  | | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (170), (175) are inconsistent by sub-proof
% 172.06/26.42  | | | | | | | | | | | | | | | | | |            #951.
% 172.06/26.42  | | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | Case 2:
% 172.06/26.42  | | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | |   (176)  all_54_0 = e3 | all_54_0 = e2
% 172.06/26.42  | | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | | BETA: splitting (18) gives:
% 172.06/26.42  | | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | | Case 1:
% 172.06/26.42  | | | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | | |   (177)  all_56_0 = e3
% 172.06/26.42  | | | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (27), (177) imply:
% 172.06/26.42  | | | | | | | | | | | | | | | | | | |   (178)  all_6_2 = e3
% 172.06/26.42  | | | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | | | REDUCE: (43), (178) imply:
% 172.06/26.42  | | | | | | | | | | | | | | | | | | |   (179)   ~ (all_52_4 = e3)
% 172.06/26.42  | | | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | | | REDUCE: (12), (178) imply:
% 172.06/26.42  | | | | | | | | | | | | | | | | | | |   (180)   ~ (all_52_12 = e3)
% 172.06/26.42  | | | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | | | REDUCE: (48), (178) imply:
% 172.06/26.42  | | | | | | | | | | | | | | | | | | |   (181)   ~ (e3 = e0)
% 172.06/26.42  | | | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (21), (29), (47), (51), (61), (62), (64),
% 172.06/26.42  | | | | | | | | | | | | | | | | | | |            (67), (72), (73), (89), (103), (123), (128),
% 172.06/26.42  | | | | | | | | | | | | | | | | | | |            (132), (179), (180), (181) are inconsistent by
% 172.06/26.42  | | | | | | | | | | | | | | | | | | |            sub-proof #790.
% 172.06/26.42  | | | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | | Case 2:
% 172.06/26.42  | | | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | | |   (182)   ~ (all_56_0 = e3)
% 172.06/26.42  | | | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | | | REDUCE: (27), (182) imply:
% 172.06/26.42  | | | | | | | | | | | | | | | | | | |   (183)   ~ (all_6_2 = e3)
% 172.06/26.42  | | | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (174), (176), (183) are inconsistent by
% 172.06/26.42  | | | | | | | | | | | | | | | | | | |            sub-proof #944.
% 172.06/26.42  | | | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | | End of split
% 172.06/26.42  | | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | End of split
% 172.06/26.42  | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | End of split
% 172.06/26.42  | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | Case 2:
% 172.06/26.42  | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | |   (184)  all_56_6 = e1 | all_56_12 = e1
% 172.06/26.42  | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 172.06/26.42  | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | Case 1:
% 172.06/26.42  | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | |   (185)  all_56_6 = e1
% 172.06/26.42  | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | REF_CLOSE: (54), (160), (185) are inconsistent by sub-proof
% 172.06/26.42  | | | | | | | | | | | | | | | | |            #583.
% 172.06/26.42  | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | Case 2:
% 172.06/26.42  | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | |   (186)  all_56_12 = e1
% 172.06/26.42  | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | COMBINE_EQS: (17), (186) imply:
% 172.06/26.42  | | | | | | | | | | | | | | | | |   (187)  e1 = e0
% 172.06/26.42  | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | REDUCE: (73), (187) imply:
% 172.06/26.42  | | | | | | | | | | | | | | | | |   (188)  $false
% 172.06/26.42  | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | | CLOSE: (188) is inconsistent.
% 172.06/26.42  | | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | | End of split
% 172.06/26.42  | | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | | End of split
% 172.06/26.42  | | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | | End of split
% 172.06/26.42  | | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | | End of split
% 172.06/26.42  | | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | | End of split
% 172.06/26.42  | | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | | End of split
% 172.06/26.42  | | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | | End of split
% 172.06/26.42  | | | | | | | | | | 
% 172.06/26.42  | | | | | | | | | End of split
% 172.06/26.42  | | | | | | | | | 
% 172.06/26.42  | | | | | | | | End of split
% 172.06/26.42  | | | | | | | | 
% 172.06/26.42  | | | | | | | End of split
% 172.06/26.42  | | | | | | | 
% 172.06/26.42  | | | | | | End of split
% 172.06/26.42  | | | | | | 
% 172.06/26.42  | | | | | End of split
% 172.06/26.42  | | | | | 
% 172.06/26.42  | | | | End of split
% 172.06/26.42  | | | | 
% 172.06/26.42  | | | Case 2:
% 172.06/26.42  | | | | 
% 172.06/26.42  | | | |   (189)  all_56_13 = e0
% 172.06/26.42  | | | | 
% 172.06/26.42  | | | | REF_CLOSE: (42), (56), (189) are inconsistent by sub-proof #942.
% 172.06/26.42  | | | | 
% 172.06/26.42  | | | End of split
% 172.06/26.42  | | | 
% 172.06/26.42  | | End of split
% 172.06/26.42  | | 
% 172.06/26.42  | End of split
% 172.06/26.42  | 
% 172.06/26.42  End of proof
% 172.06/26.42  
% 172.06/26.42  Sub-proof #218 shows that the following formulas are inconsistent:
% 172.06/26.42  ----------------------------------------------------------------
% 172.06/26.42    (1)  all_54_8 = all_52_2
% 172.06/26.42    (2)   ~ (all_52_2 = all_6_2)
% 172.06/26.42    (3)  op(all_6_2, e3) = all_6_1
% 172.06/26.42    (4)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 172.06/26.42    (5)  all_56_0 = all_6_2
% 172.06/26.42    (6)   ~ (all_6_1 = e1) |  ~ (all_6_2 = e2)
% 172.06/26.42    (7)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.06/26.42    (8)   ~ (all_52_2 = e1)
% 172.06/26.42    (9)   ~ (all_6_2 = e1)
% 172.06/26.42    (10)  all_56_0 = e2
% 172.06/26.42    (11)  all_54_0 = all_6_2
% 172.06/26.42    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.06/26.42            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.06/26.42    (13)  op(e2, e3) = e1
% 172.06/26.42  
% 172.06/26.42  Begin of proof
% 172.06/26.42  | 
% 172.06/26.42  | COMBINE_EQS: (5), (10) imply:
% 172.06/26.42  |   (14)  all_6_2 = e2
% 172.06/26.42  | 
% 172.06/26.42  | REDUCE: (2), (14) imply:
% 172.06/26.42  |   (15)   ~ (all_52_2 = e2)
% 172.06/26.42  | 
% 172.06/26.42  | REDUCE: (3), (14) imply:
% 172.06/26.42  |   (16)  op(e2, e3) = all_6_1
% 172.06/26.42  | 
% 172.06/26.42  | BETA: splitting (6) gives:
% 172.06/26.42  | 
% 172.06/26.42  | Case 1:
% 172.06/26.42  | | 
% 172.06/26.42  | |   (17)   ~ (all_6_1 = e1)
% 172.06/26.42  | | 
% 172.06/26.42  | | GROUND_INST: instantiating (12) with e1, all_6_1, e3, e2, simplifying with
% 172.06/26.42  | |              (13), (16) gives:
% 172.06/26.42  | |   (18)  all_6_1 = e1
% 172.06/26.42  | | 
% 172.06/26.42  | | REDUCE: (17), (18) imply:
% 172.06/26.42  | |   (19)  $false
% 172.06/26.42  | | 
% 172.06/26.42  | | CLOSE: (19) is inconsistent.
% 172.06/26.42  | | 
% 172.06/26.42  | Case 2:
% 172.06/26.42  | | 
% 172.06/26.42  | |   (20)   ~ (all_6_2 = e2)
% 172.06/26.42  | | 
% 172.06/26.42  | | REF_CLOSE: (1), (2), (4), (7), (8), (9), (11), (15), (20) are inconsistent
% 172.06/26.42  | |            by sub-proof #406.
% 172.06/26.42  | | 
% 172.06/26.42  | End of split
% 172.06/26.42  | 
% 172.06/26.42  End of proof
% 172.06/26.42  
% 172.06/26.42  Sub-proof #219 shows that the following formulas are inconsistent:
% 172.06/26.42  ----------------------------------------------------------------
% 172.06/26.42    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.06/26.42    (2)  op(e1, e3) = all_52_2
% 172.06/26.42    (3)  all_56_0 = e1
% 172.06/26.42    (4)  all_56_12 = e0
% 172.06/26.42    (5)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.06/26.42    (6)  all_58_26 = all_10_2
% 172.06/26.42    (7)   ~ (all_52_4 = e0)
% 172.06/26.42    (8)  all_58_30 = all_52_14
% 172.06/26.42    (9)  all_58_22 = e0
% 172.06/26.42    (10)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.06/26.42    (11)   ~ (e2 = e1)
% 172.06/26.42    (12)   ~ (all_52_1 = all_4_2)
% 172.06/26.42    (13)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.06/26.42    (14)  all_56_2 = all_52_1
% 172.06/26.42    (15)  all_58_20 = all_52_4
% 172.06/26.42    (16)  all_8_2 = e1
% 172.06/26.42    (17)  all_56_6 = all_52_2
% 172.06/26.42    (18)   ~ (all_52_1 = all_52_9)
% 172.06/26.42    (19)   ~ (all_52_4 = all_52_12)
% 172.06/26.42    (20)  all_58_29 = e0
% 172.06/26.42    (21)   ~ (all_52_14 = all_10_2)
% 172.06/26.42    (22)  all_58_24 = e0
% 172.06/26.42    (23)   ~ (all_52_1 = e0)
% 172.06/26.42    (24)  all_58_25 = all_52_9
% 172.06/26.42    (25)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.06/26.42            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.06/26.42    (26)  all_58_21 = all_4_2
% 172.06/26.42    (27)   ~ (e2 = e0)
% 172.06/26.42    (28)  all_8_1 = all_6_1
% 172.06/26.42    (29)  all_58_28 = all_52_12
% 172.06/26.42    (30)   ~ (e1 = e0)
% 172.06/26.42    (31)  op(e1, e3) = all_6_1
% 172.06/26.42    (32)   ~ (all_8_1 = e2) |  ~ (all_8_2 = e1)
% 172.06/26.42  
% 172.06/26.42  Begin of proof
% 172.06/26.42  | 
% 172.06/26.42  | BETA: splitting (32) gives:
% 172.06/26.42  | 
% 172.06/26.42  | Case 1:
% 172.06/26.42  | | 
% 172.06/26.42  | |   (33)   ~ (all_8_2 = e1)
% 172.06/26.42  | | 
% 172.06/26.42  | | REDUCE: (16), (33) imply:
% 172.06/26.42  | |   (34)  $false
% 172.06/26.42  | | 
% 172.06/26.42  | | CLOSE: (34) is inconsistent.
% 172.06/26.42  | | 
% 172.06/26.42  | Case 2:
% 172.06/26.42  | | 
% 172.06/26.42  | |   (35)   ~ (all_8_1 = e2)
% 172.06/26.42  | | 
% 172.06/26.42  | | REDUCE: (28), (35) imply:
% 172.06/26.42  | |   (36)   ~ (all_6_1 = e2)
% 172.06/26.42  | | 
% 172.06/26.42  | | GROUND_INST: instantiating (25) with all_52_2, all_6_1, e3, e1, simplifying
% 172.06/26.42  | |              with (2), (31) gives:
% 172.06/26.42  | |   (37)  all_52_2 = all_6_1
% 172.06/26.42  | | 
% 172.06/26.42  | | COMBINE_EQS: (17), (37) imply:
% 172.06/26.42  | |   (38)  all_56_6 = all_6_1
% 172.06/26.42  | | 
% 172.06/26.42  | | BETA: splitting (13) gives:
% 172.06/26.42  | | 
% 172.06/26.42  | | Case 1:
% 172.06/26.42  | | | 
% 172.06/26.42  | | |   (39)  all_56_0 = e2
% 172.06/26.42  | | | 
% 172.06/26.42  | | | REF_CLOSE: (3), (11), (39) are inconsistent by sub-proof #785.
% 172.06/26.42  | | | 
% 172.06/26.42  | | Case 2:
% 172.06/26.42  | | | 
% 172.06/26.42  | | |   (40)  all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.06/26.42  | | | 
% 172.06/26.42  | | | BETA: splitting (40) gives:
% 172.06/26.42  | | | 
% 172.06/26.42  | | | Case 1:
% 172.06/26.42  | | | | 
% 172.06/26.42  | | | |   (41)  all_56_2 = e2
% 172.06/26.42  | | | | 
% 172.06/26.42  | | | | REF_CLOSE: (1), (5), (6), (7), (8), (9), (10), (12), (14), (15), (18),
% 172.06/26.42  | | | |            (19), (20), (21), (22), (23), (24), (26), (29), (30), (41)
% 172.06/26.42  | | | |            are inconsistent by sub-proof #793.
% 172.06/26.42  | | | | 
% 172.06/26.42  | | | Case 2:
% 172.06/26.42  | | | | 
% 172.06/26.42  | | | |   (42)  all_56_6 = e2 | all_56_12 = e2
% 172.06/26.42  | | | | 
% 172.06/26.42  | | | | REF_CLOSE: (4), (27), (36), (38), (42) are inconsistent by sub-proof
% 172.06/26.42  | | | |            #220.
% 172.06/26.42  | | | | 
% 172.06/26.42  | | | End of split
% 172.06/26.42  | | | 
% 172.06/26.42  | | End of split
% 172.06/26.42  | | 
% 172.06/26.42  | End of split
% 172.06/26.42  | 
% 172.06/26.42  End of proof
% 172.06/26.42  
% 172.06/26.42  Sub-proof #220 shows that the following formulas are inconsistent:
% 172.06/26.42  ----------------------------------------------------------------
% 172.06/26.42    (1)  all_56_6 = e2 | all_56_12 = e2
% 172.06/26.42    (2)  all_56_12 = e0
% 172.06/26.42    (3)  all_56_6 = all_6_1
% 172.06/26.42    (4)   ~ (e2 = e0)
% 172.06/26.42    (5)   ~ (all_6_1 = e2)
% 172.06/26.42  
% 172.06/26.42  Begin of proof
% 172.06/26.42  | 
% 172.06/26.42  | BETA: splitting (1) gives:
% 172.06/26.42  | 
% 172.06/26.42  | Case 1:
% 172.06/26.42  | | 
% 172.06/26.42  | |   (6)  all_56_6 = e2
% 172.06/26.42  | | 
% 172.06/26.42  | | COMBINE_EQS: (3), (6) imply:
% 172.06/26.42  | |   (7)  all_6_1 = e2
% 172.06/26.42  | | 
% 172.06/26.42  | | REDUCE: (5), (7) imply:
% 172.06/26.42  | |   (8)  $false
% 172.06/26.42  | | 
% 172.06/26.42  | | CLOSE: (8) is inconsistent.
% 172.06/26.42  | | 
% 172.06/26.42  | Case 2:
% 172.06/26.42  | | 
% 172.06/26.42  | |   (9)  all_56_12 = e2
% 172.06/26.42  | | 
% 172.06/26.42  | | COMBINE_EQS: (2), (9) imply:
% 172.06/26.42  | |   (10)  e2 = e0
% 172.06/26.42  | | 
% 172.06/26.42  | | REDUCE: (4), (10) imply:
% 172.06/26.42  | |   (11)  $false
% 172.06/26.42  | | 
% 172.06/26.42  | | CLOSE: (11) is inconsistent.
% 172.06/26.42  | | 
% 172.06/26.42  | End of split
% 172.06/26.42  | 
% 172.06/26.42  End of proof
% 172.06/26.42  
% 172.06/26.42  Sub-proof #221 shows that the following formulas are inconsistent:
% 172.06/26.42  ----------------------------------------------------------------
% 172.06/26.42    (1)  all_56_1 = all_52_4
% 172.06/26.42    (2)  all_56_12 = all_52_3
% 172.06/26.42    (3)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 172.06/26.42    (4)  op(e1, all_52_14) = all_58_11
% 172.06/26.42    (5)   ~ (all_10_2 = e0)
% 172.06/26.42    (6)   ~ (e3 = e1)
% 172.06/26.42    (7)  all_58_23 = all_52_7
% 172.06/26.42    (8)   ~ (all_52_2 = all_6_2)
% 172.06/26.42    (9)   ~ (all_52_4 = all_4_2)
% 172.06/26.42    (10)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.06/26.42    (11)   ~ (all_52_12 = all_6_2)
% 172.06/26.42    (12)   ~ (all_52_6 = all_4_2)
% 172.06/26.42    (13)  op(e1, e0) = all_52_14
% 172.06/26.42    (14)   ~ (all_52_13 = all_4_2)
% 172.06/26.42    (15)  op(e0, all_52_3) = all_58_12
% 172.06/26.42    (16)  all_56_8 = all_10_2
% 172.06/26.42    (17)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.06/26.42    (18)   ~ (all_52_4 = all_52_6)
% 172.06/26.42    (19)  all_58_31 = all_14_2
% 172.06/26.42    (20)   ~ (all_52_3 = all_6_2)
% 172.06/26.42    (21)  all_56_11 = all_52_14
% 172.06/26.42    (22)   ~ (all_4_1 = e0)
% 172.06/26.42    (23)  all_56_0 = all_6_2
% 172.06/26.42    (24)  all_58_30 = all_52_14
% 172.06/26.42    (25)  op(e3, e2) = all_52_4
% 172.06/26.42    (26)  op(all_4_2, e2) = all_4_1
% 172.06/26.42    (27)  op(e3, e1) = all_52_8
% 172.06/26.42    (28)  op(e2, all_4_2) = all_58_5
% 172.06/26.42    (29)  all_58_19 = all_52_3
% 172.06/26.42    (30)  all_56_9 = all_52_12
% 172.06/26.42    (31)   ~ (all_52_2 = all_52_6)
% 172.06/26.42    (32)  all_56_2 = e0
% 172.06/26.42    (33)  op(e2, e2) = all_4_2
% 172.06/26.42    (34)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 172.06/26.42    (35)  op(e3, all_52_8) = all_58_2
% 172.06/26.42    (36)   ~ (all_52_4 = all_52_7)
% 172.06/26.42    (37)  all_56_1 = e0
% 172.06/26.42    (38)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.06/26.42    (39)  all_58_18 = all_52_2
% 172.06/26.42    (40)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.06/26.42    (41)  all_58_16 = all_6_2
% 172.06/26.42    (42)  op(e0, e3) = all_52_3
% 172.06/26.42    (43)   ~ (all_52_4 = all_6_2)
% 172.06/26.42    (44)   ~ (e3 = e0)
% 172.06/26.42    (45)  all_58_29 = all_52_13
% 172.06/26.42    (46)  all_56_4 = all_52_8
% 172.06/26.42    (47)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.06/26.42    (48)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.06/26.42    (49)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 172.06/26.42    (50)  all_58_20 = all_52_4
% 172.06/26.42    (51)  all_58_17 = e0
% 172.06/26.42    (52)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.06/26.42    (53)  all_56_6 = all_52_2
% 172.06/26.42    (54)  all_58_22 = all_52_6
% 172.06/26.42    (55)  all_56_3 = all_4_2
% 172.06/26.42    (56)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.06/26.42    (57)  all_54_0 = all_6_2
% 172.06/26.42    (58)   ~ (all_52_2 = all_52_3)
% 172.06/26.42    (59)   ~ (all_52_14 = all_14_2)
% 172.06/26.42    (60)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.06/26.42            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.06/26.42    (61)  all_54_12 = all_52_3
% 172.06/26.42    (62)   ~ (all_52_2 = all_52_14)
% 172.06/26.42    (63)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 172.06/26.42    (64)  all_58_21 = all_4_2
% 172.06/26.42    (65)   ~ (all_52_3 = e0)
% 172.06/26.42    (66)   ~ (e2 = e0)
% 172.06/26.42    (67)  all_58_28 = all_52_12
% 172.06/26.42    (68)   ~ (e1 = e0)
% 172.06/26.42    (69)  all_56_7 = all_52_6
% 172.06/26.42    (70)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.06/26.42            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.06/26.42            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.06/26.42            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.06/26.42            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.06/26.42            (all_58_15 = e0))
% 172.06/26.42    (71)  all_54_5 = all_4_2
% 172.06/26.42    (72)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.06/26.42    (73)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.06/26.42  
% 172.06/26.42  Begin of proof
% 172.06/26.42  | 
% 172.06/26.42  | COMBINE_EQS: (1), (37) imply:
% 172.06/26.42  |   (74)  all_52_4 = e0
% 172.06/26.42  | 
% 172.06/26.42  | COMBINE_EQS: (50), (74) imply:
% 172.06/26.42  |   (75)  all_58_20 = e0
% 172.06/26.42  | 
% 172.06/26.42  | REDUCE: (18), (74) imply:
% 172.06/26.42  |   (76)   ~ (all_52_6 = e0)
% 172.06/26.42  | 
% 172.06/26.42  | SIMP: (76) implies:
% 172.06/26.42  |   (77)   ~ (all_52_6 = e0)
% 172.06/26.42  | 
% 172.06/26.42  | REDUCE: (36), (74) imply:
% 172.06/26.42  |   (78)   ~ (all_52_7 = e0)
% 172.06/26.42  | 
% 172.06/26.42  | SIMP: (78) implies:
% 172.06/26.42  |   (79)   ~ (all_52_7 = e0)
% 172.06/26.42  | 
% 172.06/26.42  | REDUCE: (43), (74) imply:
% 172.06/26.42  |   (80)   ~ (all_6_2 = e0)
% 172.06/26.42  | 
% 172.06/26.42  | SIMP: (80) implies:
% 172.06/26.42  |   (81)   ~ (all_6_2 = e0)
% 172.06/26.42  | 
% 172.06/26.42  | REDUCE: (9), (74) imply:
% 172.06/26.42  |   (82)   ~ (all_4_2 = e0)
% 172.06/26.42  | 
% 172.06/26.42  | SIMP: (82) implies:
% 172.06/26.42  |   (83)   ~ (all_4_2 = e0)
% 172.06/26.42  | 
% 172.06/26.42  | REDUCE: (25), (74) imply:
% 172.06/26.42  |   (84)  op(e3, e2) = e0
% 172.06/26.42  | 
% 172.06/26.42  | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13), (14),
% 172.06/26.42  |            (15), (16), (17), (19), (20), (21), (22), (23), (24), (26), (27),
% 172.06/26.42  |            (28), (29), (30), (31), (32), (33), (34), (35), (37), (38), (39),
% 172.06/26.42  |            (40), (41), (42), (44), (45), (46), (47), (48), (49), (51), (52),
% 172.06/26.42  |            (53), (54), (55), (56), (57), (58), (59), (60), (61), (62), (63),
% 172.06/26.42  |            (64), (65), (66), (67), (68), (69), (70), (71), (72), (73), (75),
% 172.06/26.42  |            (77), (79), (81), (83), (84) are inconsistent by sub-proof #222.
% 172.06/26.42  | 
% 172.06/26.42  End of proof
% 172.06/26.42  
% 172.06/26.42  Sub-proof #222 shows that the following formulas are inconsistent:
% 172.06/26.42  ----------------------------------------------------------------
% 172.06/26.42    (1)  all_56_12 = all_52_3
% 172.06/26.42    (2)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 172.06/26.42    (3)  op(e1, all_52_14) = all_58_11
% 172.06/26.42    (4)   ~ (all_10_2 = e0)
% 172.06/26.42    (5)   ~ (e3 = e1)
% 172.06/26.42    (6)  all_58_23 = all_52_7
% 172.06/26.42    (7)   ~ (all_52_2 = all_6_2)
% 172.06/26.42    (8)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.06/26.42    (9)   ~ (all_52_12 = all_6_2)
% 172.06/26.42    (10)   ~ (all_52_6 = all_4_2)
% 172.06/26.42    (11)  op(e1, e0) = all_52_14
% 172.06/26.42    (12)   ~ (all_52_13 = all_4_2)
% 172.06/26.42    (13)  op(e0, all_52_3) = all_58_12
% 172.06/26.42    (14)  all_56_8 = all_10_2
% 172.06/26.42    (15)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.06/26.42    (16)  all_58_31 = all_14_2
% 172.06/26.42    (17)   ~ (all_52_3 = all_6_2)
% 172.06/26.42    (18)  all_56_11 = all_52_14
% 172.06/26.42    (19)   ~ (all_4_1 = e0)
% 172.06/26.42    (20)  all_56_0 = all_6_2
% 172.06/26.42    (21)  all_58_30 = all_52_14
% 172.06/26.42    (22)  op(all_4_2, e2) = all_4_1
% 172.06/26.42    (23)  op(e3, e1) = all_52_8
% 172.06/26.42    (24)  op(e2, all_4_2) = all_58_5
% 172.06/26.42    (25)  all_58_20 = e0
% 172.06/26.42    (26)  all_58_19 = all_52_3
% 172.06/26.42    (27)  all_56_9 = all_52_12
% 172.06/26.42    (28)   ~ (all_52_2 = all_52_6)
% 172.06/26.42    (29)  all_56_2 = e0
% 172.06/26.42    (30)  op(e2, e2) = all_4_2
% 172.06/26.42    (31)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 172.06/26.42    (32)  op(e3, all_52_8) = all_58_2
% 172.06/26.42    (33)  all_56_1 = e0
% 172.06/26.42    (34)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.06/26.42    (35)  all_58_18 = all_52_2
% 172.06/26.43    (36)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.06/26.43    (37)  all_58_16 = all_6_2
% 172.06/26.43    (38)  op(e0, e3) = all_52_3
% 172.06/26.43    (39)   ~ (e3 = e0)
% 172.06/26.43    (40)  all_58_29 = all_52_13
% 172.06/26.43    (41)  op(e3, e2) = e0
% 172.06/26.43    (42)   ~ (all_4_2 = e0)
% 172.06/26.43    (43)   ~ (all_6_2 = e0)
% 172.06/26.43    (44)  all_56_4 = all_52_8
% 172.06/26.43    (45)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.06/26.43    (46)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.06/26.43    (47)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 172.06/26.43    (48)  all_58_17 = e0
% 172.06/26.43    (49)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.06/26.43    (50)  all_56_6 = all_52_2
% 172.06/26.43    (51)   ~ (all_52_7 = e0)
% 172.06/26.43    (52)  all_58_22 = all_52_6
% 172.06/26.43    (53)  all_56_3 = all_4_2
% 172.06/26.43    (54)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.06/26.43    (55)  all_54_0 = all_6_2
% 172.06/26.43    (56)   ~ (all_52_2 = all_52_3)
% 172.06/26.43    (57)   ~ (all_52_14 = all_14_2)
% 172.06/26.43    (58)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.06/26.43            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.06/26.43    (59)   ~ (all_52_6 = e0)
% 172.06/26.43    (60)  all_54_12 = all_52_3
% 172.06/26.43    (61)   ~ (all_52_2 = all_52_14)
% 172.06/26.43    (62)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 172.06/26.43    (63)  all_58_21 = all_4_2
% 172.06/26.43    (64)   ~ (all_52_3 = e0)
% 172.06/26.43    (65)   ~ (e2 = e0)
% 172.06/26.43    (66)  all_58_28 = all_52_12
% 172.06/26.43    (67)   ~ (e1 = e0)
% 172.06/26.43    (68)  all_56_7 = all_52_6
% 172.06/26.43    (69)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.06/26.43            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.06/26.43            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.06/26.43            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.06/26.43            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.06/26.43            (all_58_15 = e0))
% 172.06/26.43    (70)  all_54_5 = all_4_2
% 172.06/26.43    (71)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.06/26.43    (72)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.06/26.43  
% 172.06/26.43  Begin of proof
% 172.06/26.43  | 
% 172.06/26.43  | BETA: splitting (47) gives:
% 172.06/26.43  | 
% 172.06/26.43  | Case 1:
% 172.06/26.43  | | 
% 172.06/26.43  | |   (73)  all_54_12 = e0
% 172.06/26.43  | | 
% 172.06/26.43  | | COMBINE_EQS: (60), (73) imply:
% 172.06/26.43  | |   (74)  all_52_3 = e0
% 172.06/26.43  | | 
% 172.06/26.43  | | REDUCE: (64), (74) imply:
% 172.06/26.43  | |   (75)  $false
% 172.06/26.43  | | 
% 172.06/26.43  | | CLOSE: (75) is inconsistent.
% 172.06/26.43  | | 
% 172.06/26.43  | Case 2:
% 172.06/26.43  | | 
% 172.06/26.43  | |   (76)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 172.06/26.43  | | 
% 172.06/26.43  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 172.06/26.43  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 172.06/26.43  | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 172.06/26.43  | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (44), (45),
% 172.06/26.43  | |            (46), (48), (49), (50), (51), (52), (53), (54), (55), (56), (57),
% 172.06/26.43  | |            (58), (59), (60), (61), (62), (63), (64), (65), (66), (67), (68),
% 172.06/26.43  | |            (69), (70), (71), (72), (76) are inconsistent by sub-proof #223.
% 172.06/26.43  | | 
% 172.06/26.43  | End of split
% 172.06/26.43  | 
% 172.06/26.43  End of proof
% 172.06/26.43  
% 172.06/26.43  Sub-proof #223 shows that the following formulas are inconsistent:
% 172.06/26.43  ----------------------------------------------------------------
% 172.06/26.43    (1)  all_56_12 = all_52_3
% 172.06/26.43    (2)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 172.06/26.43    (3)  op(e1, all_52_14) = all_58_11
% 172.06/26.43    (4)   ~ (all_10_2 = e0)
% 172.06/26.43    (5)   ~ (e3 = e1)
% 172.06/26.43    (6)  all_58_23 = all_52_7
% 172.06/26.43    (7)   ~ (all_52_2 = all_6_2)
% 172.06/26.43    (8)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.06/26.43    (9)   ~ (all_52_12 = all_6_2)
% 172.06/26.43    (10)   ~ (all_52_6 = all_4_2)
% 172.06/26.43    (11)  op(e1, e0) = all_52_14
% 172.06/26.43    (12)   ~ (all_52_13 = all_4_2)
% 172.06/26.43    (13)  op(e0, all_52_3) = all_58_12
% 172.06/26.43    (14)  all_56_8 = all_10_2
% 172.06/26.43    (15)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.06/26.43    (16)  all_58_31 = all_14_2
% 172.06/26.43    (17)   ~ (all_52_3 = all_6_2)
% 172.06/26.43    (18)  all_56_11 = all_52_14
% 172.06/26.43    (19)   ~ (all_4_1 = e0)
% 172.06/26.43    (20)  all_56_0 = all_6_2
% 172.06/26.43    (21)  all_58_30 = all_52_14
% 172.06/26.43    (22)  op(all_4_2, e2) = all_4_1
% 172.06/26.43    (23)  op(e3, e1) = all_52_8
% 172.06/26.43    (24)  op(e2, all_4_2) = all_58_5
% 172.06/26.43    (25)  all_58_20 = e0
% 172.06/26.43    (26)  all_58_19 = all_52_3
% 172.06/26.43    (27)  all_56_9 = all_52_12
% 172.06/26.43    (28)   ~ (all_52_2 = all_52_6)
% 172.06/26.43    (29)  all_56_2 = e0
% 172.06/26.43    (30)  op(e2, e2) = all_4_2
% 172.06/26.43    (31)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 172.06/26.43    (32)  op(e3, all_52_8) = all_58_2
% 172.06/26.43    (33)  all_56_1 = e0
% 172.06/26.43    (34)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.06/26.43    (35)  all_58_18 = all_52_2
% 172.06/26.43    (36)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.06/26.43    (37)  all_58_16 = all_6_2
% 172.06/26.43    (38)  op(e0, e3) = all_52_3
% 172.06/26.43    (39)   ~ (e3 = e0)
% 172.06/26.43    (40)  all_58_29 = all_52_13
% 172.06/26.43    (41)  op(e3, e2) = e0
% 172.06/26.43    (42)   ~ (all_4_2 = e0)
% 172.06/26.43    (43)   ~ (all_6_2 = e0)
% 172.06/26.43    (44)  all_56_4 = all_52_8
% 172.06/26.43    (45)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.06/26.43    (46)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.06/26.43    (47)  all_58_17 = e0
% 172.06/26.43    (48)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.06/26.43    (49)  all_56_6 = all_52_2
% 172.06/26.43    (50)   ~ (all_52_7 = e0)
% 172.06/26.43    (51)  all_58_22 = all_52_6
% 172.06/26.43    (52)  all_56_3 = all_4_2
% 172.06/26.43    (53)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.06/26.43    (54)  all_54_0 = all_6_2
% 172.06/26.43    (55)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 172.06/26.43    (56)   ~ (all_52_2 = all_52_3)
% 172.06/26.43    (57)   ~ (all_52_14 = all_14_2)
% 172.06/26.43    (58)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.06/26.43            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.06/26.43    (59)   ~ (all_52_6 = e0)
% 172.06/26.43    (60)  all_54_12 = all_52_3
% 172.06/26.43    (61)   ~ (all_52_2 = all_52_14)
% 172.06/26.43    (62)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 172.06/26.43    (63)  all_58_21 = all_4_2
% 172.06/26.43    (64)   ~ (all_52_3 = e0)
% 172.06/26.43    (65)   ~ (e2 = e0)
% 172.06/26.43    (66)  all_58_28 = all_52_12
% 172.06/26.43    (67)   ~ (e1 = e0)
% 172.06/26.43    (68)  all_56_7 = all_52_6
% 172.06/26.43    (69)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.06/26.43            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.06/26.43            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.06/26.43            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.06/26.43            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.06/26.43            (all_58_15 = e0))
% 172.06/26.43    (70)  all_54_5 = all_4_2
% 172.06/26.43    (71)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.06/26.43    (72)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.06/26.43  
% 172.06/26.43  Begin of proof
% 172.06/26.43  | 
% 172.06/26.43  | BETA: splitting (31) gives:
% 172.06/26.43  | 
% 172.06/26.43  | Case 1:
% 172.06/26.43  | | 
% 172.06/26.43  | |   (73)  all_56_7 = e0
% 172.06/26.43  | | 
% 172.06/26.43  | | COMBINE_EQS: (68), (73) imply:
% 172.06/26.43  | |   (74)  all_52_6 = e0
% 172.06/26.43  | | 
% 172.06/26.43  | | REDUCE: (59), (74) imply:
% 172.06/26.43  | |   (75)  $false
% 172.06/26.43  | | 
% 172.06/26.43  | | CLOSE: (75) is inconsistent.
% 172.06/26.43  | | 
% 172.06/26.43  | Case 2:
% 172.06/26.43  | | 
% 172.06/26.43  | |   (76)  all_56_8 = e0 | all_56_11 = e0
% 172.06/26.43  | | 
% 172.06/26.43  | | BETA: splitting (76) gives:
% 172.06/26.43  | | 
% 172.06/26.43  | | Case 1:
% 172.06/26.43  | | | 
% 172.06/26.43  | | |   (77)  all_56_8 = e0
% 172.06/26.43  | | | 
% 172.06/26.43  | | | REF_CLOSE: (4), (14), (77) are inconsistent by sub-proof #916.
% 172.06/26.43  | | | 
% 172.06/26.43  | | Case 2:
% 172.06/26.43  | | | 
% 172.06/26.43  | | |   (78)  all_56_11 = e0
% 172.06/26.43  | | | 
% 172.06/26.43  | | | COMBINE_EQS: (18), (78) imply:
% 172.06/26.43  | | |   (79)  all_52_14 = e0
% 172.06/26.43  | | | 
% 172.06/26.43  | | | SIMP: (79) implies:
% 172.06/26.43  | | |   (80)  all_52_14 = e0
% 172.06/26.43  | | | 
% 172.06/26.43  | | | COMBINE_EQS: (21), (80) imply:
% 172.06/26.43  | | |   (81)  all_58_30 = e0
% 172.06/26.43  | | | 
% 172.06/26.43  | | | REDUCE: (61), (80) imply:
% 172.06/26.43  | | |   (82)   ~ (all_52_2 = e0)
% 172.06/26.43  | | | 
% 172.06/26.43  | | | REDUCE: (57), (80) imply:
% 172.06/26.43  | | |   (83)   ~ (all_14_2 = e0)
% 172.06/26.43  | | | 
% 172.06/26.43  | | | SIMP: (83) implies:
% 172.06/26.43  | | |   (84)   ~ (all_14_2 = e0)
% 172.06/26.43  | | | 
% 172.06/26.43  | | | REDUCE: (3), (80) imply:
% 172.06/26.43  | | |   (85)  op(e1, e0) = all_58_11
% 172.06/26.43  | | | 
% 172.06/26.43  | | | REDUCE: (11), (80) imply:
% 172.06/26.43  | | |   (86)  op(e1, e0) = e0
% 172.06/26.43  | | | 
% 172.06/26.43  | | | GROUND_INST: instantiating (58) with e0, all_58_11, e0, e1, simplifying
% 172.06/26.43  | | |              with (85), (86) gives:
% 172.06/26.43  | | |   (87)  all_58_11 = e0
% 172.06/26.43  | | | 
% 172.06/26.43  | | | BETA: splitting (2) gives:
% 172.06/26.43  | | | 
% 172.06/26.43  | | | Case 1:
% 172.06/26.43  | | | | 
% 172.06/26.43  | | | |   (88)  all_54_0 = e0
% 172.06/26.43  | | | | 
% 172.06/26.43  | | | | REF_CLOSE: (43), (54), (88) are inconsistent by sub-proof #984.
% 172.06/26.43  | | | | 
% 172.06/26.43  | | | Case 2:
% 172.06/26.43  | | | | 
% 172.06/26.43  | | | |   (89)   ~ (all_54_0 = e0)
% 172.06/26.43  | | | |   (90)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.06/26.43  | | | | 
% 172.06/26.43  | | | | BETA: splitting (48) gives:
% 172.06/26.43  | | | | 
% 172.06/26.43  | | | | Case 1:
% 172.06/26.43  | | | | | 
% 172.06/26.43  | | | | |   (91)  all_58_23 = e0
% 172.06/26.43  | | | | | 
% 172.06/26.43  | | | | | COMBINE_EQS: (6), (91) imply:
% 172.06/26.43  | | | | |   (92)  all_52_7 = e0
% 172.06/26.43  | | | | | 
% 172.06/26.43  | | | | | REDUCE: (50), (92) imply:
% 172.06/26.43  | | | | |   (93)  $false
% 172.06/26.43  | | | | | 
% 172.06/26.43  | | | | | CLOSE: (93) is inconsistent.
% 172.06/26.43  | | | | | 
% 172.06/26.43  | | | | Case 2:
% 172.06/26.43  | | | | | 
% 172.06/26.43  | | | | |   (94)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.06/26.43  | | | | | 
% 172.06/26.43  | | | | | BETA: splitting (8) gives:
% 172.06/26.43  | | | | | 
% 172.06/26.43  | | | | | Case 1:
% 172.06/26.43  | | | | | | 
% 172.06/26.43  | | | | | |   (95)  all_58_19 = e0
% 172.06/26.43  | | | | | | 
% 172.06/26.43  | | | | | | COMBINE_EQS: (26), (95) imply:
% 172.06/26.43  | | | | | |   (96)  all_52_3 = e0
% 172.06/26.43  | | | | | | 
% 172.06/26.43  | | | | | | REDUCE: (64), (96) imply:
% 172.06/26.43  | | | | | |   (97)  $false
% 172.06/26.43  | | | | | | 
% 172.06/26.43  | | | | | | CLOSE: (97) is inconsistent.
% 172.06/26.43  | | | | | | 
% 172.06/26.43  | | | | | Case 2:
% 172.06/26.43  | | | | | | 
% 172.06/26.43  | | | | | |   (98)   ~ (all_58_19 = e0)
% 172.06/26.43  | | | | | |   (99)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.06/26.43  | | | | | | 
% 172.06/26.43  | | | | | | BETA: splitting (15) gives:
% 172.06/26.43  | | | | | | 
% 172.06/26.43  | | | | | | Case 1:
% 172.06/26.43  | | | | | | | 
% 172.06/26.43  | | | | | | |   (100)  all_58_31 = e0
% 172.06/26.43  | | | | | | | 
% 172.06/26.43  | | | | | | | COMBINE_EQS: (16), (100) imply:
% 172.06/26.43  | | | | | | |   (101)  all_14_2 = e0
% 172.06/26.43  | | | | | | | 
% 172.06/26.43  | | | | | | | REDUCE: (84), (101) imply:
% 172.06/26.43  | | | | | | |   (102)  $false
% 172.06/26.43  | | | | | | | 
% 172.06/26.43  | | | | | | | CLOSE: (102) is inconsistent.
% 172.06/26.43  | | | | | | | 
% 172.06/26.43  | | | | | | Case 2:
% 172.06/26.43  | | | | | | | 
% 172.06/26.43  | | | | | | |   (103)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.06/26.43  | | | | | | | 
% 172.06/26.43  | | | | | | | BETA: splitting (71) gives:
% 172.06/26.43  | | | | | | | 
% 172.06/26.43  | | | | | | | Case 1:
% 172.06/26.43  | | | | | | | | 
% 172.06/26.43  | | | | | | | |   (104)  all_56_12 = e1
% 172.06/26.43  | | | | | | | | 
% 172.06/26.43  | | | | | | | | COMBINE_EQS: (1), (104) imply:
% 172.06/26.43  | | | | | | | |   (105)  all_52_3 = e1
% 172.06/26.43  | | | | | | | | 
% 172.06/26.43  | | | | | | | | SIMP: (105) implies:
% 172.06/26.43  | | | | | | | |   (106)  all_52_3 = e1
% 172.06/26.43  | | | | | | | | 
% 172.06/26.43  | | | | | | | | REDUCE: (56), (106) imply:
% 172.06/26.43  | | | | | | | |   (107)   ~ (all_52_2 = e1)
% 172.06/26.43  | | | | | | | | 
% 172.06/26.43  | | | | | | | | BETA: splitting (99) gives:
% 172.06/26.43  | | | | | | | | 
% 172.06/26.43  | | | | | | | | Case 1:
% 172.06/26.43  | | | | | | | | | 
% 172.06/26.43  | | | | | | | | |   (108)  all_58_18 = e1
% 172.06/26.43  | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | REF_CLOSE: (35), (107), (108) are inconsistent by sub-proof
% 172.06/26.43  | | | | | | | | |            #924.
% 172.06/26.43  | | | | | | | | | 
% 172.06/26.43  | | | | | | | | Case 2:
% 172.06/26.43  | | | | | | | | | 
% 172.06/26.43  | | | | | | | | |   (109)  all_58_16 = e3 | all_58_17 = e2
% 172.06/26.43  | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | BETA: splitting (109) gives:
% 172.06/26.43  | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | Case 1:
% 172.06/26.43  | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | |   (110)  all_58_17 = e2
% 172.06/26.43  | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | REF_CLOSE: (47), (65), (110) are inconsistent by sub-proof
% 172.06/26.43  | | | | | | | | | |            #981.
% 172.06/26.43  | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | Case 2:
% 172.06/26.43  | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | |   (111)  all_58_16 = e3
% 172.06/26.43  | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | COMBINE_EQS: (37), (111) imply:
% 172.06/26.43  | | | | | | | | | |   (112)  all_6_2 = e3
% 172.06/26.43  | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | REDUCE: (9), (112) imply:
% 172.06/26.43  | | | | | | | | | |   (113)   ~ (all_52_12 = e3)
% 172.06/26.43  | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | BETA: splitting (103) gives:
% 172.06/26.43  | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | Case 1:
% 172.06/26.43  | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | |   (114)  all_58_30 = e1
% 172.06/26.43  | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | | REF_CLOSE: (67), (81), (114) are inconsistent by sub-proof
% 172.06/26.43  | | | | | | | | | | |            #838.
% 172.06/26.43  | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | Case 2:
% 172.06/26.43  | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | |   (115)  all_58_28 = e3 | all_58_29 = e2
% 172.06/26.43  | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | | BETA: splitting (115) gives:
% 172.06/26.43  | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | | Case 1:
% 172.06/26.43  | | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | | |   (116)  all_58_29 = e2
% 172.06/26.43  | | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | | | REF_CLOSE: (10), (12), (19), (22), (25), (29), (39), (40),
% 172.06/26.43  | | | | | | | | | | | |            (41), (51), (52), (58), (62), (63), (70), (72),
% 172.06/26.43  | | | | | | | | | | | |            (94), (116) are inconsistent by sub-proof #698.
% 172.06/26.43  | | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | | Case 2:
% 172.06/26.43  | | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | | |   (117)  all_58_28 = e3
% 172.06/26.43  | | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | | | COMBINE_EQS: (66), (117) imply:
% 172.06/26.43  | | | | | | | | | | | |   (118)  all_52_12 = e3
% 172.06/26.43  | | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | | | REDUCE: (113), (118) imply:
% 172.06/26.43  | | | | | | | | | | | |   (119)  $false
% 172.06/26.43  | | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | | | CLOSE: (119) is inconsistent.
% 172.06/26.43  | | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | | End of split
% 172.06/26.43  | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | End of split
% 172.06/26.43  | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | End of split
% 172.06/26.43  | | | | | | | | | 
% 172.06/26.43  | | | | | | | | End of split
% 172.06/26.43  | | | | | | | | 
% 172.06/26.43  | | | | | | | Case 2:
% 172.06/26.43  | | | | | | | | 
% 172.06/26.43  | | | | | | | |   (120)   ~ (all_56_12 = e1)
% 172.06/26.43  | | | | | | | | 
% 172.06/26.43  | | | | | | | | REDUCE: (1), (120) imply:
% 172.06/26.43  | | | | | | | |   (121)   ~ (all_52_3 = e1)
% 172.06/26.43  | | | | | | | | 
% 172.06/26.43  | | | | | | | | REF_CLOSE: (1), (5), (7), (9), (12), (13), (17), (20), (23),
% 172.06/26.43  | | | | | | | |            (24), (25), (27), (28), (29), (30), (32), (33), (34),
% 172.06/26.43  | | | | | | | |            (35), (36), (37), (38), (39), (40), (42), (43), (44),
% 172.06/26.43  | | | | | | | |            (45), (46), (47), (49), (51), (53), (54), (55), (56),
% 172.06/26.43  | | | | | | | |            (58), (60), (63), (65), (66), (67), (69), (81), (82),
% 172.06/26.43  | | | | | | | |            (87), (90), (94), (99), (103), (121) are inconsistent
% 172.06/26.43  | | | | | | | |            by sub-proof #224.
% 172.06/26.43  | | | | | | | | 
% 172.06/26.43  | | | | | | | End of split
% 172.06/26.43  | | | | | | | 
% 172.06/26.43  | | | | | | End of split
% 172.06/26.43  | | | | | | 
% 172.06/26.43  | | | | | End of split
% 172.06/26.43  | | | | | 
% 172.06/26.43  | | | | End of split
% 172.06/26.43  | | | | 
% 172.06/26.43  | | | End of split
% 172.06/26.43  | | | 
% 172.06/26.43  | | End of split
% 172.06/26.43  | | 
% 172.06/26.43  | End of split
% 172.06/26.43  | 
% 172.06/26.43  End of proof
% 172.06/26.43  
% 172.06/26.43  Sub-proof #224 shows that the following formulas are inconsistent:
% 172.06/26.43  ----------------------------------------------------------------
% 172.06/26.43    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.06/26.43    (2)  all_56_12 = all_52_3
% 172.06/26.43    (3)   ~ (e3 = e1)
% 172.06/26.43    (4)   ~ (all_52_2 = all_6_2)
% 172.06/26.43    (5)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.06/26.43    (6)   ~ (all_52_12 = all_6_2)
% 172.06/26.43    (7)  all_58_11 = e0
% 172.06/26.43    (8)   ~ (all_52_13 = all_4_2)
% 172.06/26.43    (9)  op(e0, all_52_3) = all_58_12
% 172.06/26.43    (10)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.06/26.43    (11)  all_58_30 = e0
% 172.06/26.43    (12)   ~ (all_52_3 = all_6_2)
% 172.06/26.43    (13)  all_56_0 = all_6_2
% 172.06/26.43    (14)  op(e3, e1) = all_52_8
% 172.06/26.43    (15)  op(e2, all_4_2) = all_58_5
% 172.06/26.43    (16)  all_58_20 = e0
% 172.06/26.43    (17)  all_56_9 = all_52_12
% 172.06/26.43    (18)   ~ (all_52_2 = all_52_6)
% 172.06/26.43    (19)  all_56_2 = e0
% 172.06/26.43    (20)  op(e2, e2) = all_4_2
% 172.06/26.43    (21)  op(e3, all_52_8) = all_58_2
% 172.06/26.43    (22)   ~ (all_52_2 = e0)
% 172.06/26.43    (23)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.06/26.43    (24)  all_56_1 = e0
% 172.06/26.43    (25)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.06/26.43    (26)   ~ (all_52_3 = e1)
% 172.06/26.43    (27)  all_58_18 = all_52_2
% 172.06/26.43    (28)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.06/26.43    (29)  all_58_16 = all_6_2
% 172.06/26.43    (30)  op(e0, e3) = all_52_3
% 172.06/26.43    (31)   ~ (e3 = e0)
% 172.06/26.43    (32)  all_58_29 = all_52_13
% 172.06/26.43    (33)   ~ (all_4_2 = e0)
% 172.06/26.43    (34)   ~ (all_6_2 = e0)
% 172.06/26.43    (35)  all_56_4 = all_52_8
% 172.06/26.43    (36)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.06/26.43    (37)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.06/26.43    (38)  all_58_17 = e0
% 172.06/26.43    (39)  all_56_6 = all_52_2
% 172.06/26.43    (40)  all_58_22 = all_52_6
% 172.06/26.43    (41)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.06/26.43    (42)  all_54_0 = all_6_2
% 172.06/26.43    (43)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 172.06/26.43    (44)   ~ (all_52_2 = all_52_3)
% 172.06/26.43    (45)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.06/26.43            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.06/26.43    (46)  all_54_12 = all_52_3
% 172.06/26.43    (47)  all_58_21 = all_4_2
% 172.06/26.43    (48)   ~ (e2 = e0)
% 172.06/26.43    (49)  all_58_28 = all_52_12
% 172.06/26.43    (50)   ~ (e1 = e0)
% 172.06/26.43    (51)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.06/26.43            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.06/26.43            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.06/26.43            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.06/26.43            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.06/26.43            (all_58_15 = e0))
% 172.06/26.43  
% 172.06/26.43  Begin of proof
% 172.06/26.43  | 
% 172.06/26.43  | BETA: splitting (25) gives:
% 172.06/26.43  | 
% 172.06/26.43  | Case 1:
% 172.06/26.43  | | 
% 172.06/26.43  | |   (52)  all_56_0 = e1
% 172.06/26.43  | | 
% 172.06/26.43  | | REF_CLOSE: (2), (3), (4), (5), (12), (13), (19), (25), (27), (29), (34),
% 172.06/26.43  | |            (38), (39), (48), (52) are inconsistent by sub-proof #701.
% 172.06/26.43  | | 
% 172.06/26.43  | Case 2:
% 172.06/26.43  | | 
% 172.06/26.43  | |   (53)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.06/26.43  | | 
% 172.06/26.43  | | BETA: splitting (53) gives:
% 172.06/26.43  | | 
% 172.06/26.43  | | Case 1:
% 172.06/26.43  | | | 
% 172.06/26.43  | | |   (54)  all_56_2 = e1
% 172.06/26.43  | | | 
% 172.06/26.43  | | | REF_CLOSE: (19), (50), (54) are inconsistent by sub-proof #935.
% 172.06/26.43  | | | 
% 172.06/26.43  | | Case 2:
% 172.06/26.43  | | | 
% 172.06/26.43  | | |   (55)  all_56_6 = e1 | all_56_12 = e1
% 172.06/26.43  | | | 
% 172.06/26.43  | | | BETA: splitting (55) gives:
% 172.06/26.43  | | | 
% 172.06/26.43  | | | Case 1:
% 172.06/26.43  | | | | 
% 172.06/26.43  | | | |   (56)  all_56_6 = e1
% 172.06/26.43  | | | | 
% 172.06/26.43  | | | | COMBINE_EQS: (39), (56) imply:
% 172.06/26.43  | | | |   (57)  all_52_2 = e1
% 172.06/26.43  | | | | 
% 172.06/26.43  | | | | SIMP: (57) implies:
% 172.06/26.43  | | | |   (58)  all_52_2 = e1
% 172.06/26.43  | | | | 
% 172.06/26.43  | | | | REDUCE: (44), (58) imply:
% 172.06/26.43  | | | |   (59)   ~ (all_52_3 = e1)
% 172.06/26.43  | | | | 
% 172.06/26.43  | | | | REDUCE: (18), (58) imply:
% 172.06/26.43  | | | |   (60)   ~ (all_52_6 = e1)
% 172.06/26.43  | | | | 
% 172.06/26.43  | | | | SIMP: (60) implies:
% 172.06/26.43  | | | |   (61)   ~ (all_52_6 = e1)
% 172.06/26.43  | | | | 
% 172.06/26.43  | | | | REDUCE: (4), (58) imply:
% 172.06/26.43  | | | |   (62)   ~ (all_6_2 = e1)
% 172.06/26.43  | | | | 
% 172.06/26.43  | | | | SIMP: (62) implies:
% 172.06/26.43  | | | |   (63)   ~ (all_6_2 = e1)
% 172.06/26.43  | | | | 
% 172.06/26.43  | | | | BETA: splitting (1) gives:
% 172.06/26.43  | | | | 
% 172.06/26.43  | | | | Case 1:
% 172.06/26.43  | | | | | 
% 172.06/26.43  | | | | |   (64)  all_58_22 = e1
% 172.06/26.43  | | | | | 
% 172.06/26.43  | | | | | COMBINE_EQS: (40), (64) imply:
% 172.06/26.43  | | | | |   (65)  all_52_6 = e1
% 172.06/26.43  | | | | | 
% 172.06/26.43  | | | | | REDUCE: (61), (65) imply:
% 172.06/26.43  | | | | |   (66)  $false
% 172.06/26.43  | | | | | 
% 172.06/26.43  | | | | | CLOSE: (66) is inconsistent.
% 172.06/26.43  | | | | | 
% 172.06/26.43  | | | | Case 2:
% 172.06/26.43  | | | | | 
% 172.06/26.43  | | | | |   (67)  all_58_20 = e3 | all_58_21 = e2
% 172.06/26.43  | | | | | 
% 172.06/26.43  | | | | | BETA: splitting (67) gives:
% 172.06/26.43  | | | | | 
% 172.06/26.43  | | | | | Case 1:
% 172.06/26.43  | | | | | | 
% 172.06/26.43  | | | | | |   (68)  all_58_21 = e2
% 172.06/26.43  | | | | | | 
% 172.06/26.43  | | | | | | COMBINE_EQS: (47), (68) imply:
% 172.06/26.43  | | | | | |   (69)  all_4_2 = e2
% 172.06/26.43  | | | | | | 
% 172.06/26.43  | | | | | | REDUCE: (8), (69) imply:
% 172.06/26.43  | | | | | |   (70)   ~ (all_52_13 = e2)
% 172.06/26.43  | | | | | | 
% 172.06/26.43  | | | | | | REDUCE: (15), (69) imply:
% 172.06/26.43  | | | | | |   (71)  op(e2, e2) = all_58_5
% 172.06/26.43  | | | | | | 
% 172.06/26.43  | | | | | | REDUCE: (20), (69) imply:
% 172.06/26.43  | | | | | |   (72)  op(e2, e2) = e2
% 172.06/26.43  | | | | | | 
% 172.06/26.43  | | | | | | BETA: splitting (10) gives:
% 172.06/26.43  | | | | | | 
% 172.06/26.43  | | | | | | Case 1:
% 172.06/26.43  | | | | | | | 
% 172.06/26.43  | | | | | | |   (73)  all_58_30 = e1
% 172.06/26.43  | | | | | | | 
% 172.06/26.43  | | | | | | | COMBINE_EQS: (11), (73) imply:
% 172.06/26.43  | | | | | | |   (74)  e1 = e0
% 172.06/26.43  | | | | | | | 
% 172.06/26.43  | | | | | | | REF_CLOSE: (2), (26), (50), (55), (56), (74) are inconsistent by
% 172.06/26.43  | | | | | | |            sub-proof #932.
% 172.06/26.43  | | | | | | | 
% 172.06/26.43  | | | | | | Case 2:
% 172.06/26.43  | | | | | | | 
% 172.06/26.43  | | | | | | |   (75)   ~ (all_58_30 = e1)
% 172.06/26.43  | | | | | | |   (76)  all_58_28 = e3 | all_58_29 = e2
% 172.06/26.43  | | | | | | | 
% 172.06/26.43  | | | | | | | REDUCE: (11), (75) imply:
% 172.06/26.43  | | | | | | |   (77)   ~ (e1 = e0)
% 172.06/26.43  | | | | | | | 
% 172.06/26.43  | | | | | | | BETA: splitting (76) gives:
% 172.06/26.43  | | | | | | | 
% 172.06/26.43  | | | | | | | Case 1:
% 172.06/26.43  | | | | | | | | 
% 172.06/26.43  | | | | | | | |   (78)  all_58_29 = e2
% 172.06/26.43  | | | | | | | | 
% 172.06/26.43  | | | | | | | | COMBINE_EQS: (32), (78) imply:
% 172.06/26.43  | | | | | | | |   (79)  all_52_13 = e2
% 172.06/26.43  | | | | | | | | 
% 172.06/26.43  | | | | | | | | REDUCE: (70), (79) imply:
% 172.06/26.43  | | | | | | | |   (80)  $false
% 172.06/26.43  | | | | | | | | 
% 172.06/26.43  | | | | | | | | CLOSE: (80) is inconsistent.
% 172.06/26.43  | | | | | | | | 
% 172.06/26.43  | | | | | | | Case 2:
% 172.06/26.43  | | | | | | | | 
% 172.06/26.43  | | | | | | | |   (81)  all_58_28 = e3
% 172.06/26.43  | | | | | | | | 
% 172.06/26.43  | | | | | | | | COMBINE_EQS: (49), (81) imply:
% 172.06/26.43  | | | | | | | |   (82)  all_52_12 = e3
% 172.06/26.43  | | | | | | | | 
% 172.06/26.43  | | | | | | | | COMBINE_EQS: (17), (82) imply:
% 172.06/26.43  | | | | | | | |   (83)  all_56_9 = e3
% 172.06/26.43  | | | | | | | | 
% 172.06/26.43  | | | | | | | | REDUCE: (6), (82) imply:
% 172.06/26.43  | | | | | | | |   (84)   ~ (all_6_2 = e3)
% 172.06/26.43  | | | | | | | | 
% 172.06/26.43  | | | | | | | | SIMP: (84) implies:
% 172.06/26.43  | | | | | | | |   (85)   ~ (all_6_2 = e3)
% 172.06/26.43  | | | | | | | | 
% 172.06/26.43  | | | | | | | | BETA: splitting (36) gives:
% 172.06/26.43  | | | | | | | | 
% 172.06/26.43  | | | | | | | | Case 1:
% 172.06/26.43  | | | | | | | | | 
% 172.06/26.43  | | | | | | | | |   (86)  all_56_12 = e3
% 172.06/26.43  | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | COMBINE_EQS: (2), (86) imply:
% 172.06/26.43  | | | | | | | | |   (87)  all_52_3 = e3
% 172.06/26.43  | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | SIMP: (87) implies:
% 172.06/26.43  | | | | | | | | |   (88)  all_52_3 = e3
% 172.06/26.43  | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | REDUCE: (9), (88) imply:
% 172.06/26.43  | | | | | | | | |   (89)  op(e0, e3) = all_58_12
% 172.06/26.43  | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | REDUCE: (30), (88) imply:
% 172.06/26.43  | | | | | | | | |   (90)  op(e0, e3) = e3
% 172.06/26.43  | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | BETA: splitting (28) gives:
% 172.06/26.43  | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | Case 1:
% 172.06/26.43  | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | |   (91)  all_56_0 = e2
% 172.06/26.43  | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | COMBINE_EQS: (13), (91) imply:
% 172.06/26.43  | | | | | | | | | |   (92)  all_6_2 = e2
% 172.06/26.43  | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | REDUCE: (63), (92) imply:
% 172.06/26.43  | | | | | | | | | |   (93)   ~ (e2 = e1)
% 172.06/26.43  | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | BETA: splitting (37) gives:
% 172.06/26.43  | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | Case 1:
% 172.06/26.43  | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | |   (94)  all_56_4 = e1
% 172.06/26.43  | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | | COMBINE_EQS: (35), (94) imply:
% 172.06/26.43  | | | | | | | | | | |   (95)  all_52_8 = e1
% 172.06/26.43  | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | | REDUCE: (21), (95) imply:
% 172.06/26.43  | | | | | | | | | | |   (96)  op(e3, e1) = all_58_2
% 172.06/26.43  | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | | REDUCE: (14), (95) imply:
% 172.06/26.43  | | | | | | | | | | |   (97)  op(e3, e1) = e1
% 172.06/26.43  | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | | REF_CLOSE: (7), (45), (51), (71), (72), (89), (90), (96),
% 172.06/26.43  | | | | | | | | | | |            (97) are inconsistent by sub-proof #225.
% 172.06/26.43  | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | Case 2:
% 172.06/26.43  | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | |   (98)   ~ (all_56_4 = e1)
% 172.06/26.43  | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | | REDUCE: (35), (98) imply:
% 172.06/26.43  | | | | | | | | | | |   (99)   ~ (all_52_8 = e1)
% 172.06/26.43  | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | | BETA: splitting (41) gives:
% 172.06/26.43  | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | | Case 1:
% 172.06/26.43  | | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | | |   (100)  all_56_0 = e1
% 172.06/26.43  | | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | | | REF_CLOSE: (91), (93), (100) are inconsistent by sub-proof
% 172.06/26.43  | | | | | | | | | | | |            #785.
% 172.06/26.43  | | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | | Case 2:
% 172.06/26.43  | | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | | |   (101)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.06/26.43  | | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | | | REF_CLOSE: (3), (24), (35), (50), (83), (99), (101) are
% 172.06/26.43  | | | | | | | | | | | |            inconsistent by sub-proof #287.
% 172.06/26.43  | | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | | End of split
% 172.06/26.43  | | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | End of split
% 172.06/26.43  | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | Case 2:
% 172.06/26.43  | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | |   (102)   ~ (all_56_0 = e2)
% 172.06/26.43  | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | REDUCE: (13), (102) imply:
% 172.06/26.43  | | | | | | | | | |   (103)   ~ (all_6_2 = e2)
% 172.06/26.43  | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | | REF_CLOSE: (23), (42), (63), (85), (103) are inconsistent by
% 172.06/26.43  | | | | | | | | | |            sub-proof #848.
% 172.06/26.43  | | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | End of split
% 172.06/26.43  | | | | | | | | | 
% 172.06/26.43  | | | | | | | | Case 2:
% 172.06/26.43  | | | | | | | | | 
% 172.06/26.43  | | | | | | | | |   (104)   ~ (all_56_12 = e3)
% 172.06/26.43  | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | REDUCE: (2), (104) imply:
% 172.06/26.43  | | | | | | | | |   (105)   ~ (all_52_3 = e3)
% 172.06/26.43  | | | | | | | | | 
% 172.06/26.43  | | | | | | | | | REF_CLOSE: (4), (5), (12), (23), (27), (29), (38), (42), (43),
% 172.06/26.43  | | | | | | | | |            (44), (46), (48), (85), (105) are inconsistent by
% 172.06/26.43  | | | | | | | | |            sub-proof #806.
% 172.06/26.43  | | | | | | | | | 
% 172.06/26.43  | | | | | | | | End of split
% 172.06/26.43  | | | | | | | | 
% 172.06/26.43  | | | | | | | End of split
% 172.06/26.43  | | | | | | | 
% 172.06/26.43  | | | | | | End of split
% 172.06/26.43  | | | | | | 
% 172.06/26.43  | | | | | Case 2:
% 172.06/26.43  | | | | | | 
% 172.06/26.43  | | | | | |   (106)  all_58_20 = e3
% 172.06/26.43  | | | | | | 
% 172.06/26.43  | | | | | | REF_CLOSE: (16), (31), (106) are inconsistent by sub-proof #948.
% 172.06/26.43  | | | | | | 
% 172.06/26.43  | | | | | End of split
% 172.06/26.43  | | | | | 
% 172.06/26.43  | | | | End of split
% 172.06/26.43  | | | | 
% 172.06/26.43  | | | Case 2:
% 172.06/26.43  | | | | 
% 172.06/26.43  | | | |   (107)  all_56_12 = e1
% 172.06/26.43  | | | | 
% 172.06/26.43  | | | | REF_CLOSE: (2), (26), (107) are inconsistent by sub-proof #934.
% 172.06/26.43  | | | | 
% 172.06/26.43  | | | End of split
% 172.06/26.43  | | | 
% 172.06/26.43  | | End of split
% 172.06/26.43  | | 
% 172.06/26.43  | End of split
% 172.06/26.43  | 
% 172.06/26.43  End of proof
% 172.06/26.43  
% 172.06/26.43  Sub-proof #225 shows that the following formulas are inconsistent:
% 172.06/26.43  ----------------------------------------------------------------
% 172.06/26.43    (1)  op(e2, e2) = e2
% 172.06/26.43    (2)  all_58_11 = e0
% 172.06/26.43    (3)  op(e3, e1) = all_58_2
% 172.06/26.43    (4)  op(e0, e3) = e3
% 172.06/26.43    (5)  op(e3, e1) = e1
% 172.06/26.43    (6)  op(e0, e3) = all_58_12
% 172.06/26.43    (7)  op(e2, e2) = all_58_5
% 172.06/26.43    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.06/26.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.06/26.43    (9)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.06/26.43           (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.06/26.43           (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.06/26.43           (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.06/26.43           (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.06/26.43           (all_58_15 = e0))
% 172.06/26.43  
% 172.06/26.43  Begin of proof
% 172.06/26.43  | 
% 172.06/26.43  | GROUND_INST: instantiating (8) with e3, all_58_12, e3, e0, simplifying with
% 172.06/26.43  |              (4), (6) gives:
% 172.06/26.43  |   (10)  all_58_12 = e3
% 172.06/26.43  | 
% 172.06/26.43  | GROUND_INST: instantiating (8) with e2, all_58_5, e2, e2, simplifying with
% 172.06/26.43  |              (1), (7) gives:
% 172.06/26.43  |   (11)  all_58_5 = e2
% 172.06/26.43  | 
% 172.06/26.43  | GROUND_INST: instantiating (8) with e1, all_58_2, e1, e3, simplifying with
% 172.06/26.43  |              (3), (5) gives:
% 172.06/26.43  |   (12)  all_58_2 = e1
% 172.06/26.43  | 
% 172.06/26.43  | BETA: splitting (9) gives:
% 172.06/26.43  | 
% 172.06/26.43  | Case 1:
% 172.06/26.43  | | 
% 172.06/26.43  | |   (13)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.06/26.43  | |           (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.06/26.43  | |           (all_58_6 = e1) &  ~ (all_58_7 = e0))
% 172.06/26.43  | | 
% 172.06/26.43  | | REF_CLOSE: (11), (12), (13) are inconsistent by sub-proof #536.
% 172.06/26.43  | | 
% 172.06/26.43  | Case 2:
% 172.06/26.43  | | 
% 172.06/26.43  | |   (14)  ( ~ (all_58_8 = e3) &  ~ (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~
% 172.06/26.43  | |           (all_58_11 = e0)) | ( ~ (all_58_12 = e3) &  ~ (all_58_13 = e2) & 
% 172.06/26.43  | |           ~ (all_58_14 = e1) &  ~ (all_58_15 = e0))
% 172.06/26.43  | | 
% 172.06/26.43  | | BETA: splitting (14) gives:
% 172.06/26.43  | | 
% 172.06/26.43  | | Case 1:
% 172.06/26.43  | | | 
% 172.06/26.43  | | |   (15)   ~ (all_58_8 = e3) &  ~ (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~
% 172.06/26.43  | | |         (all_58_11 = e0)
% 172.06/26.43  | | | 
% 172.06/26.43  | | | ALPHA: (15) implies:
% 172.06/26.43  | | |   (16)   ~ (all_58_11 = e0)
% 172.06/26.43  | | | 
% 172.06/26.43  | | | REDUCE: (2), (16) imply:
% 172.06/26.43  | | |   (17)  $false
% 172.06/26.43  | | | 
% 172.06/26.43  | | | CLOSE: (17) is inconsistent.
% 172.06/26.43  | | | 
% 172.06/26.43  | | Case 2:
% 172.06/26.43  | | | 
% 172.06/26.43  | | |   (18)   ~ (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) & 
% 172.06/26.43  | | |         ~ (all_58_15 = e0)
% 172.06/26.43  | | | 
% 172.06/26.43  | | | ALPHA: (18) implies:
% 172.06/26.43  | | |   (19)   ~ (all_58_12 = e3)
% 172.06/26.43  | | | 
% 172.06/26.43  | | | REDUCE: (10), (19) imply:
% 172.06/26.43  | | |   (20)  $false
% 172.06/26.43  | | | 
% 172.06/26.43  | | | CLOSE: (20) is inconsistent.
% 172.06/26.43  | | | 
% 172.06/26.43  | | End of split
% 172.06/26.43  | | 
% 172.06/26.43  | End of split
% 172.06/26.43  | 
% 172.06/26.43  End of proof
% 172.06/26.43  
% 172.06/26.43  Sub-proof #226 shows that the following formulas are inconsistent:
% 172.06/26.43  ----------------------------------------------------------------
% 172.06/26.43    (1)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 172.06/26.43    (2)  all_56_12 = all_52_3
% 172.06/26.43    (3)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 172.06/26.43    (4)   ~ (all_52_8 = all_52_12)
% 172.06/26.43    (5)   ~ (e3 = e1)
% 172.06/26.43    (6)  all_58_23 = all_52_7
% 172.06/26.43    (7)   ~ (all_14_1 = e1)
% 172.06/26.43    (8)   ~ (all_52_2 = all_6_2)
% 172.06/26.43    (9)   ~ (all_52_3 = all_14_2)
% 172.06/26.43    (10)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.06/26.43    (11)  all_56_5 = all_52_9
% 172.06/26.43    (12)   ~ (all_52_12 = all_6_2)
% 172.06/26.43    (13)   ~ (all_14_2 = e1)
% 172.06/26.43    (14)  all_56_15 = all_14_2
% 172.06/26.43    (15)   ~ (all_52_11 = all_14_2)
% 172.06/26.43    (16)   ~ (all_52_9 = all_4_2)
% 172.06/26.43    (17)   ~ (all_52_3 = all_52_7)
% 172.06/26.43    (18)  all_56_14 = all_52_11
% 172.06/26.43    (19)  all_56_8 = all_10_2
% 172.06/26.44    (20)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.06/26.44    (21)  all_58_26 = all_10_2
% 172.06/26.44    (22)  all_58_31 = all_14_2
% 172.06/26.44    (23)   ~ (all_52_11 = all_10_2)
% 172.06/26.44    (24)   ~ (all_52_9 = all_52_13)
% 172.06/26.44    (25)   ~ (all_52_3 = all_6_2)
% 172.06/26.44    (26)  all_56_11 = all_52_14
% 172.06/26.44    (27)  all_56_0 = all_6_2
% 172.06/26.44    (28)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.06/26.44    (29)  all_58_30 = all_52_14
% 172.06/26.44    (30)  all_58_27 = all_52_11
% 172.06/26.44    (31)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.06/26.44    (32)  all_58_19 = all_52_3
% 172.06/26.44    (33)  all_56_9 = all_52_12
% 172.06/26.44    (34)  all_56_4 = e0
% 172.06/26.44    (35)   ~ (e3 = e2)
% 172.06/26.44    (36)  op(e3, all_52_8) = all_58_2
% 172.06/26.44    (37)   ~ (e2 = e1)
% 172.06/26.44    (38)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.06/26.44    (39)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.06/26.44    (40)   ~ (all_52_13 = all_52_14)
% 172.06/26.44    (41)  all_58_18 = all_52_2
% 172.06/26.44    (42)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.06/26.44    (43)  all_58_16 = all_6_2
% 172.06/26.44    (44)  all_56_13 = all_52_7
% 172.06/26.44    (45)   ~ (all_52_8 = all_52_9)
% 172.06/26.44    (46)   ~ (e3 = e0)
% 172.06/26.44    (47)  op(e3, e0) = all_52_12
% 172.06/26.44    (48)  all_58_29 = all_52_13
% 172.06/26.44    (49)   ~ (all_52_13 = e0)
% 172.06/26.44    (50)  all_56_4 = all_52_8
% 172.06/26.44    (51)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.06/26.44    (52)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.06/26.44    (53)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 172.06/26.44    (54)   ~ (all_52_7 = all_52_11)
% 172.06/26.44    (55)  all_58_17 = e0
% 172.06/26.44    (56)   ~ (all_52_8 = all_52_11)
% 172.06/26.44    (57)   ~ (all_52_8 = all_6_2)
% 172.06/26.44    (58)  all_58_24 = all_52_8
% 172.06/26.44    (59)   ~ (all_52_12 = all_52_14)
% 172.06/26.44    (60)   ~ (all_52_9 = all_52_11)
% 172.06/26.44    (61)  op(all_14_2, e0) = all_14_1
% 172.06/26.44    (62)  all_54_0 = all_6_2
% 172.06/26.44    (63)   ~ (all_52_2 = all_52_3)
% 172.06/26.44    (64)   ~ (all_52_14 = all_14_2)
% 172.06/26.44    (65)  all_58_25 = all_52_9
% 172.06/26.44    (66)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.06/26.44            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.06/26.44    (67)  all_54_12 = all_52_3
% 172.06/26.44    (68)   ~ (all_52_2 = all_52_14)
% 172.06/26.44    (69)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 172.06/26.44    (70)  all_58_21 = all_4_2
% 172.06/26.44    (71)  all_56_10 = all_52_13
% 172.06/26.44    (72)   ~ (all_52_3 = e0)
% 172.06/26.44    (73)   ~ (e2 = e0)
% 172.06/26.44    (74)  all_58_28 = all_52_12
% 172.06/26.44    (75)   ~ (e1 = e0)
% 172.06/26.44    (76)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.06/26.44          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.06/26.44          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.06/26.44          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.06/26.44          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.06/26.44          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.06/26.44          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.06/26.44          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.06/26.44          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.06/26.44          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.06/26.44            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.06/26.44            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.06/26.44            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.06/26.44            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.06/26.44            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.06/26.44            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.06/26.44            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.06/26.44            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.06/26.44            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.06/26.44            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.06/26.44            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.06/26.44            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.06/26.44            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.06/26.44            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.06/26.44            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.06/26.44            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.06/26.44          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.06/26.44          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.06/26.44          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.06/26.44            all_58_30 = e0 & e1 = e0)
% 172.06/26.44    (77)   ~ (all_52_2 = all_10_2)
% 172.06/26.44  
% 172.06/26.44  Begin of proof
% 172.06/26.44  | 
% 172.06/26.44  | COMBINE_EQS: (34), (50) imply:
% 172.06/26.44  |   (78)  all_52_8 = e0
% 172.06/26.44  | 
% 172.06/26.44  | COMBINE_EQS: (58), (78) imply:
% 172.06/26.44  |   (79)  all_58_24 = e0
% 172.06/26.44  | 
% 172.06/26.44  | REDUCE: (45), (78) imply:
% 172.06/26.44  |   (80)   ~ (all_52_9 = e0)
% 172.06/26.44  | 
% 172.06/26.44  | SIMP: (80) implies:
% 172.06/26.44  |   (81)   ~ (all_52_9 = e0)
% 172.06/26.44  | 
% 172.06/26.44  | REDUCE: (56), (78) imply:
% 172.06/26.44  |   (82)   ~ (all_52_11 = e0)
% 172.06/26.44  | 
% 172.06/26.44  | SIMP: (82) implies:
% 172.06/26.44  |   (83)   ~ (all_52_11 = e0)
% 172.06/26.44  | 
% 172.06/26.44  | REDUCE: (4), (78) imply:
% 172.06/26.44  |   (84)   ~ (all_52_12 = e0)
% 172.06/26.44  | 
% 172.06/26.44  | SIMP: (84) implies:
% 172.06/26.44  |   (85)   ~ (all_52_12 = e0)
% 172.06/26.44  | 
% 172.06/26.44  | REDUCE: (57), (78) imply:
% 172.06/26.44  |   (86)   ~ (all_6_2 = e0)
% 172.06/26.44  | 
% 172.06/26.44  | SIMP: (86) implies:
% 172.06/26.44  |   (87)   ~ (all_6_2 = e0)
% 172.06/26.44  | 
% 172.06/26.44  | REDUCE: (36), (78) imply:
% 172.06/26.44  |   (88)  op(e3, e0) = all_58_2
% 172.06/26.44  | 
% 172.06/26.44  | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 172.06/26.44  |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 172.06/26.44  |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 172.06/26.44  |            (37), (38), (39), (40), (41), (42), (43), (44), (46), (47), (48),
% 172.06/26.44  |            (49), (51), (52), (53), (54), (55), (59), (60), (61), (62), (63),
% 172.06/26.44  |            (64), (65), (66), (67), (68), (69), (70), (71), (72), (73), (74),
% 172.06/26.44  |            (75), (76), (77), (79), (81), (83), (85), (87), (88) are
% 172.06/26.44  |            inconsistent by sub-proof #227.
% 172.06/26.44  | 
% 172.06/26.44  End of proof
% 172.06/26.44  
% 172.06/26.44  Sub-proof #227 shows that the following formulas are inconsistent:
% 172.06/26.44  ----------------------------------------------------------------
% 172.06/26.44    (1)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 172.06/26.44    (2)  all_56_12 = all_52_3
% 172.06/26.44    (3)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 172.06/26.44    (4)   ~ (e3 = e1)
% 172.06/26.44    (5)  all_58_23 = all_52_7
% 172.06/26.44    (6)   ~ (all_14_1 = e1)
% 172.06/26.44    (7)   ~ (all_52_2 = all_6_2)
% 172.06/26.44    (8)   ~ (all_52_3 = all_14_2)
% 172.06/26.44    (9)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.06/26.44    (10)  all_56_5 = all_52_9
% 172.06/26.44    (11)   ~ (all_52_12 = all_6_2)
% 172.06/26.44    (12)   ~ (all_14_2 = e1)
% 172.06/26.44    (13)  all_56_15 = all_14_2
% 172.06/26.44    (14)   ~ (all_52_11 = all_14_2)
% 172.06/26.44    (15)  op(e3, e0) = all_58_2
% 172.06/26.44    (16)   ~ (all_52_9 = all_4_2)
% 172.06/26.44    (17)   ~ (all_52_3 = all_52_7)
% 172.06/26.44    (18)  all_56_14 = all_52_11
% 172.06/26.44    (19)  all_56_8 = all_10_2
% 172.06/26.44    (20)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.06/26.44    (21)   ~ (all_52_9 = e0)
% 172.06/26.44    (22)  all_58_26 = all_10_2
% 172.06/26.44    (23)  all_58_31 = all_14_2
% 172.06/26.44    (24)   ~ (all_52_11 = all_10_2)
% 172.06/26.44    (25)   ~ (all_52_9 = all_52_13)
% 172.06/26.44    (26)   ~ (all_52_3 = all_6_2)
% 172.06/26.44    (27)  all_56_11 = all_52_14
% 172.06/26.44    (28)  all_56_0 = all_6_2
% 172.06/26.44    (29)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.06/26.44    (30)  all_58_30 = all_52_14
% 172.06/26.44    (31)  all_58_27 = all_52_11
% 172.06/26.44    (32)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.06/26.44    (33)  all_58_19 = all_52_3
% 172.06/26.44    (34)  all_56_9 = all_52_12
% 172.06/26.44    (35)  all_56_4 = e0
% 172.06/26.44    (36)   ~ (e3 = e2)
% 172.06/26.44    (37)   ~ (e2 = e1)
% 172.06/26.44    (38)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.06/26.44    (39)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.06/26.44    (40)   ~ (all_52_13 = all_52_14)
% 172.06/26.44    (41)  all_58_18 = all_52_2
% 172.06/26.44    (42)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.06/26.44    (43)  all_58_16 = all_6_2
% 172.06/26.44    (44)  all_56_13 = all_52_7
% 172.06/26.44    (45)   ~ (all_52_12 = e0)
% 172.06/26.44    (46)   ~ (e3 = e0)
% 172.06/26.44    (47)  op(e3, e0) = all_52_12
% 172.06/26.44    (48)  all_58_29 = all_52_13
% 172.06/26.44    (49)   ~ (all_52_13 = e0)
% 172.06/26.44    (50)   ~ (all_6_2 = e0)
% 172.06/26.44    (51)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.06/26.44    (52)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.06/26.44    (53)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 172.06/26.44    (54)   ~ (all_52_7 = all_52_11)
% 172.06/26.44    (55)  all_58_17 = e0
% 172.06/26.44    (56)   ~ (all_52_12 = all_52_14)
% 172.06/26.44    (57)   ~ (all_52_9 = all_52_11)
% 172.06/26.44    (58)  op(all_14_2, e0) = all_14_1
% 172.06/26.44    (59)  all_54_0 = all_6_2
% 172.06/26.44    (60)  all_58_24 = e0
% 172.06/26.44    (61)   ~ (all_52_11 = e0)
% 172.06/26.44    (62)   ~ (all_52_2 = all_52_3)
% 172.06/26.44    (63)   ~ (all_52_14 = all_14_2)
% 172.06/26.44    (64)  all_58_25 = all_52_9
% 172.06/26.44    (65)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.06/26.44            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.06/26.44    (66)  all_54_12 = all_52_3
% 172.06/26.44    (67)   ~ (all_52_2 = all_52_14)
% 172.06/26.44    (68)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 172.06/26.44    (69)  all_58_21 = all_4_2
% 172.06/26.44    (70)  all_56_10 = all_52_13
% 172.06/26.44    (71)   ~ (all_52_3 = e0)
% 172.06/26.44    (72)   ~ (e2 = e0)
% 172.06/26.44    (73)  all_58_28 = all_52_12
% 172.06/26.44    (74)   ~ (e1 = e0)
% 172.06/26.44    (75)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.06/26.44          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.06/26.44          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.06/26.44          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.06/26.44          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.06/26.44          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.06/26.44          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.06/26.44          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.06/26.44          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.06/26.44          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.06/26.44            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.06/26.44            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.06/26.44            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.06/26.44            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.06/26.44            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.06/26.44            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.06/26.44            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.06/26.44            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.06/26.44            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.06/26.44            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.06/26.44            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.06/26.44            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.06/26.44            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.06/26.44            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.06/26.44            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.06/26.44            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.06/26.44          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.06/26.44          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.06/26.44          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.06/26.44            all_58_30 = e0 & e1 = e0)
% 172.06/26.44    (76)   ~ (all_52_2 = all_10_2)
% 172.06/26.44  
% 172.06/26.44  Begin of proof
% 172.06/26.44  | 
% 172.06/26.44  | BETA: splitting (1) gives:
% 172.06/26.44  | 
% 172.06/26.44  | Case 1:
% 172.06/26.44  | | 
% 172.06/26.44  | |   (77)  all_56_12 = e0
% 172.06/26.44  | | 
% 172.06/26.44  | | REF_CLOSE: (2), (71), (77) are inconsistent by sub-proof #919.
% 172.06/26.44  | | 
% 172.06/26.44  | Case 2:
% 172.06/26.44  | | 
% 172.06/26.44  | |   (78)  all_56_13 = e0 | all_56_14 = e0
% 172.06/26.44  | | 
% 172.06/26.44  | | BETA: splitting (78) gives:
% 172.06/26.44  | | 
% 172.06/26.44  | | Case 1:
% 172.06/26.44  | | | 
% 172.06/26.44  | | |   (79)  all_56_13 = e0
% 172.06/26.44  | | | 
% 172.06/26.44  | | | COMBINE_EQS: (44), (79) imply:
% 172.06/26.44  | | |   (80)  all_52_7 = e0
% 172.06/26.44  | | | 
% 172.06/26.44  | | | SIMP: (80) implies:
% 172.06/26.44  | | |   (81)  all_52_7 = e0
% 172.06/26.44  | | | 
% 172.06/26.44  | | | COMBINE_EQS: (5), (81) imply:
% 172.06/26.44  | | |   (82)  all_58_23 = e0
% 172.06/26.44  | | | 
% 172.06/26.44  | | | REDUCE: (54), (81) imply:
% 172.06/26.44  | | |   (83)   ~ (all_52_11 = e0)
% 172.06/26.44  | | | 
% 172.06/26.44  | | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 172.06/26.44  | | |            (14), (15), (16), (18), (19), (20), (21), (22), (23), (24),
% 172.06/26.44  | | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 172.06/26.44  | | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (45),
% 172.06/26.44  | | |            (46), (47), (48), (49), (50), (51), (52), (53), (55), (56),
% 172.06/26.44  | | |            (57), (58), (59), (60), (61), (62), (63), (64), (65), (66),
% 172.06/26.44  | | |            (67), (68), (69), (70), (71), (72), (73), (74), (75), (76),
% 172.06/26.44  | | |            (82) are inconsistent by sub-proof #228.
% 172.06/26.44  | | | 
% 172.06/26.44  | | Case 2:
% 172.06/26.44  | | | 
% 172.06/26.44  | | |   (84)  all_56_14 = e0
% 172.06/26.44  | | | 
% 172.06/26.44  | | | REF_CLOSE: (18), (61), (84) are inconsistent by sub-proof #915.
% 172.06/26.44  | | | 
% 172.06/26.44  | | End of split
% 172.06/26.44  | | 
% 172.06/26.44  | End of split
% 172.06/26.44  | 
% 172.06/26.44  End of proof
% 172.06/26.44  
% 172.06/26.44  Sub-proof #228 shows that the following formulas are inconsistent:
% 172.06/26.44  ----------------------------------------------------------------
% 172.06/26.44    (1)  all_56_12 = all_52_3
% 172.06/26.44    (2)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 172.06/26.44    (3)   ~ (e3 = e1)
% 172.06/26.44    (4)   ~ (all_14_1 = e1)
% 172.06/26.44    (5)   ~ (all_52_2 = all_6_2)
% 172.06/26.44    (6)   ~ (all_52_3 = all_14_2)
% 172.06/26.44    (7)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.06/26.44    (8)  all_56_5 = all_52_9
% 172.06/26.44    (9)   ~ (all_52_12 = all_6_2)
% 172.06/26.44    (10)   ~ (all_14_2 = e1)
% 172.06/26.44    (11)  all_56_15 = all_14_2
% 172.06/26.44    (12)   ~ (all_52_11 = all_14_2)
% 172.06/26.44    (13)  op(e3, e0) = all_58_2
% 172.06/26.44    (14)   ~ (all_52_9 = all_4_2)
% 172.06/26.44    (15)  all_56_14 = all_52_11
% 172.06/26.44    (16)  all_56_8 = all_10_2
% 172.06/26.44    (17)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.06/26.44    (18)   ~ (all_52_9 = e0)
% 172.06/26.44    (19)  all_58_26 = all_10_2
% 172.06/26.44    (20)  all_58_31 = all_14_2
% 172.06/26.44    (21)   ~ (all_52_11 = all_10_2)
% 172.06/26.44    (22)   ~ (all_52_9 = all_52_13)
% 172.06/26.44    (23)   ~ (all_52_3 = all_6_2)
% 172.06/26.44    (24)  all_56_11 = all_52_14
% 172.06/26.44    (25)  all_56_0 = all_6_2
% 172.06/26.44    (26)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.06/26.44    (27)  all_58_30 = all_52_14
% 172.06/26.44    (28)  all_58_27 = all_52_11
% 172.06/26.44    (29)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.06/26.44    (30)  all_58_19 = all_52_3
% 172.06/26.44    (31)  all_56_9 = all_52_12
% 172.06/26.44    (32)  all_56_4 = e0
% 172.06/26.44    (33)   ~ (e3 = e2)
% 172.06/26.44    (34)   ~ (e2 = e1)
% 172.06/26.44    (35)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.06/26.44    (36)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.06/26.44    (37)   ~ (all_52_13 = all_52_14)
% 172.06/26.44    (38)  all_58_18 = all_52_2
% 172.06/26.44    (39)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.06/26.44    (40)  all_58_16 = all_6_2
% 172.06/26.44    (41)   ~ (all_52_12 = e0)
% 172.06/26.44    (42)   ~ (e3 = e0)
% 172.06/26.44    (43)  op(e3, e0) = all_52_12
% 172.06/26.44    (44)  all_58_29 = all_52_13
% 172.06/26.44    (45)   ~ (all_52_13 = e0)
% 172.06/26.44    (46)   ~ (all_6_2 = e0)
% 172.06/26.44    (47)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.06/26.44    (48)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.06/26.44    (49)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 172.06/26.44    (50)  all_58_17 = e0
% 172.06/26.44    (51)   ~ (all_52_12 = all_52_14)
% 172.06/26.44    (52)   ~ (all_52_9 = all_52_11)
% 172.06/26.44    (53)  op(all_14_2, e0) = all_14_1
% 172.06/26.44    (54)  all_54_0 = all_6_2
% 172.06/26.44    (55)  all_58_24 = e0
% 172.06/26.44    (56)   ~ (all_52_11 = e0)
% 172.06/26.44    (57)   ~ (all_52_2 = all_52_3)
% 172.06/26.44    (58)   ~ (all_52_14 = all_14_2)
% 172.06/26.44    (59)  all_58_25 = all_52_9
% 172.06/26.44    (60)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.06/26.44            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.06/26.44    (61)  all_54_12 = all_52_3
% 172.06/26.44    (62)   ~ (all_52_2 = all_52_14)
% 172.06/26.44    (63)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 172.06/26.44    (64)  all_58_21 = all_4_2
% 172.06/26.44    (65)  all_56_10 = all_52_13
% 172.06/26.44    (66)   ~ (all_52_3 = e0)
% 172.06/26.44    (67)   ~ (e2 = e0)
% 172.06/26.44    (68)  all_58_28 = all_52_12
% 172.06/26.44    (69)   ~ (e1 = e0)
% 172.06/26.44    (70)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.06/26.44          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.06/26.44          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.06/26.44          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.06/26.44          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.06/26.44          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.06/26.44          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.06/26.44          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.06/26.44          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.06/26.44          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.06/26.44            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.06/26.44            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.06/26.44            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.06/26.44            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.06/26.44            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.06/26.44            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.06/26.44            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.06/26.44            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.06/26.44            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.06/26.44            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.06/26.44            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.06/26.44            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.06/26.44            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.06/26.44            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.06/26.44            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.06/26.44            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.06/26.44          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.06/26.44          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.06/26.44          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.06/26.44            all_58_30 = e0 & e1 = e0)
% 172.06/26.44    (71)  all_58_23 = e0
% 172.06/26.44    (72)   ~ (all_52_2 = all_10_2)
% 172.06/26.44  
% 172.06/26.44  Begin of proof
% 172.06/26.44  | 
% 172.06/26.44  | GROUND_INST: instantiating (60) with all_52_12, all_58_2, e0, e3, simplifying
% 172.06/26.44  |              with (13), (43) gives:
% 172.06/26.44  |   (73)  all_58_2 = all_52_12
% 172.06/26.44  | 
% 172.06/26.44  | BETA: splitting (2) gives:
% 172.06/26.44  | 
% 172.06/26.44  | Case 1:
% 172.06/26.44  | | 
% 172.06/26.44  | |   (74)  all_54_0 = e0
% 172.06/26.44  | | 
% 172.06/26.44  | | REF_CLOSE: (46), (54), (74) are inconsistent by sub-proof #984.
% 172.06/26.44  | | 
% 172.06/26.44  | Case 2:
% 172.06/26.44  | | 
% 172.06/26.44  | |   (75)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.06/26.44  | | 
% 172.06/26.44  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 172.06/26.44  | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 172.06/26.44  | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 172.06/26.44  | |            (36), (37), (38), (39), (40), (41), (42), (43), (44), (45), (47),
% 172.06/26.44  | |            (48), (49), (50), (51), (52), (53), (54), (55), (56), (57), (58),
% 172.06/26.44  | |            (59), (60), (61), (62), (63), (64), (65), (66), (67), (68), (69),
% 172.06/26.44  | |            (70), (71), (72), (75) are inconsistent by sub-proof #802.
% 172.06/26.44  | | 
% 172.06/26.44  | End of split
% 172.06/26.44  | 
% 172.06/26.44  End of proof
% 172.06/26.44  
% 172.06/26.44  Sub-proof #229 shows that the following formulas are inconsistent:
% 172.06/26.44  ----------------------------------------------------------------
% 172.06/26.44    (1)  all_56_1 = all_52_4
% 172.06/26.44    (2)  all_56_12 = all_52_3
% 172.06/26.44    (3)  op(e3, all_52_12) = all_58_3
% 172.06/26.44    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 172.06/26.44    (5)  op(e1, all_52_14) = all_58_11
% 172.06/26.44    (6)   ~ (all_10_2 = e0)
% 172.06/26.44    (7)   ~ (all_52_8 = all_52_12)
% 172.06/26.44    (8)   ~ (e3 = e1)
% 172.06/26.44    (9)  all_58_23 = all_52_7
% 172.06/26.44    (10)   ~ (all_52_2 = all_6_2)
% 172.06/26.44    (11)   ~ (all_52_4 = all_4_2)
% 172.06/26.44    (12)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.06/26.44    (13)  op(all_14_1, e0) = all_14_0
% 172.06/26.44    (14)  op(e0, e0) = all_14_1
% 172.06/26.44    (15)  all_54_3 = all_52_12
% 172.06/26.44    (16)  all_56_5 = all_52_9
% 172.06/26.44    (17)  op(all_6_2, e3) = all_6_1
% 172.06/26.44    (18)   ~ (all_52_12 = all_6_2)
% 172.06/26.44    (19)  op(e2, e0) = all_52_13
% 172.06/26.44    (20)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 172.06/26.44    (21)   ~ (all_52_6 = all_4_2)
% 172.06/26.44    (22)   ~ (all_14_2 = e1)
% 172.06/26.44    (23)  op(e3, all_6_2) = all_58_0
% 172.06/26.44    (24)  all_56_15 = all_14_2
% 172.06/26.44    (25)  op(all_10_2, e1) = all_10_1
% 172.06/26.44    (26)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 172.06/26.44    (27)  op(e1, all_10_2) = all_58_10
% 172.06/26.44    (28)   ~ (all_52_9 = all_4_2)
% 172.06/26.44    (29)  op(e1, e1) = all_10_2
% 172.06/26.44    (30)  all_56_14 = all_52_11
% 172.06/26.44    (31)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 172.06/26.44    (32)   ~ (all_52_13 = all_4_2)
% 172.06/26.44    (33)  all_56_8 = all_10_2
% 172.06/26.44    (34)  all_58_26 = all_10_2
% 172.06/26.44    (35)   ~ (all_52_4 = all_52_6)
% 172.06/26.44    (36)   ~ (all_52_11 = all_10_2)
% 172.06/26.44    (37)   ~ (all_52_9 = all_52_13)
% 172.06/26.44    (38)   ~ (all_52_3 = all_6_2)
% 172.06/26.44    (39)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.06/26.44    (40)  op(all_6_1, all_6_2) = e0
% 172.06/26.44    (41)   ~ (all_52_1 = all_6_2)
% 172.06/26.44    (42)  all_56_11 = all_52_14
% 172.06/26.44    (43)  all_56_15 = e0
% 172.06/26.44    (44)   ~ (all_52_6 = all_52_7)
% 172.06/26.44    (45)   ~ (all_4_1 = e0)
% 172.06/26.44    (46)  all_56_2 = e2 | all_56_3 = e2 | all_56_5 = e2 | all_56_10 = e2
% 172.06/26.44    (47)  all_56_0 = all_6_2
% 172.06/26.44    (48)   ~ (all_52_9 = all_10_2)
% 172.06/26.44    (49)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.06/26.44    (50)  all_58_27 = all_52_11
% 172.06/26.44    (51)  all_54_14 = all_52_11
% 172.06/26.44    (52)  op(e3, e2) = all_52_4
% 172.06/26.44    (53)  op(all_4_2, e2) = all_4_1
% 172.06/26.44    (54)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 172.06/26.44    (55)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.06/26.44    (56)  all_58_17 = all_52_1
% 172.06/26.44    (57)  op(e2, all_4_2) = all_58_5
% 172.06/26.44    (58)  all_58_19 = all_52_3
% 172.06/26.44    (59)  all_56_9 = all_52_12
% 172.06/26.44    (60)   ~ (all_52_2 = all_52_6)
% 172.06/26.44    (61)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 172.06/26.44    (62)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 172.06/26.44    (63)  op(e2, e2) = all_4_2
% 172.06/26.44    (64)   ~ (e3 = e2)
% 172.06/26.44    (65)   ~ (all_52_4 = all_52_7)
% 172.06/26.44    (66)   ~ (e2 = e1)
% 172.06/26.44    (67)   ~ (all_52_6 = all_10_2)
% 172.06/26.44    (68)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.06/26.44    (69)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.06/26.44    (70)   ~ (all_52_1 = all_4_2)
% 172.06/26.44    (71)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.06/26.44    (72)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.06/26.44    (73)  all_58_18 = all_52_2
% 172.06/26.44    (74)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.06/26.44    (75)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.06/26.44    (76)  all_58_16 = all_6_2
% 172.06/26.44    (77)  all_56_13 = all_52_7
% 172.06/26.44    (78)  op(e0, e3) = all_52_3
% 172.06/26.44    (79)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 172.06/26.44    (80)   ~ (all_52_8 = all_52_9)
% 172.06/26.44    (81)   ~ (all_52_4 = all_6_2)
% 172.06/26.44    (82)  all_56_2 = all_52_1
% 172.06/26.44    (83)   ~ (all_14_0 = e1)
% 172.06/26.44    (84)   ~ (e3 = e0)
% 172.06/26.44    (85)  op(e3, e0) = all_52_12
% 172.06/26.44    (86)   ~ (all_52_1 = all_52_2)
% 172.06/26.44    (87)   ~ (all_52_13 = e0)
% 172.06/26.44    (88)   ~ (all_4_2 = e0)
% 172.06/26.44    (89)  op(e0, e0) = all_58_15
% 172.06/26.44    (90)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.06/26.44    (91)   ~ (all_52_6 = all_52_14)
% 172.06/26.44    (92)   ~ (all_52_8 = all_10_2)
% 172.06/26.44    (93)  all_56_4 = all_52_8
% 172.06/26.45    (94)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.06/26.45    (95)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.06/26.45    (96)  op(e0, e0) = e0
% 172.06/26.45    (97)   ~ (all_52_1 = all_52_13)
% 172.06/26.45    (98)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.06/26.45    (99)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 172.06/26.45    (100)  all_58_20 = all_52_4
% 172.06/26.45    (101)  all_54_10 = all_10_2
% 172.06/26.45    (102)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.06/26.45    (103)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 172.06/26.45    (104)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.06/26.45    (105)   ~ (all_52_8 = all_52_11)
% 172.06/26.45    (106)   ~ (all_52_8 = all_6_2)
% 172.06/26.45    (107)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 172.06/26.45    (108)  all_56_6 = all_52_2
% 172.06/26.45    (109)   ~ (all_52_1 = all_52_9)
% 172.06/26.45    (110)  op(e3, e3) = all_6_2
% 172.06/26.45    (111)   ~ (all_52_7 = e0)
% 172.06/26.45    (112)  all_58_24 = all_52_8
% 172.06/26.45    (113)   ~ (all_52_12 = all_52_14)
% 172.06/26.45    (114)   ~ (all_52_9 = all_52_11)
% 172.06/26.45    (115)  all_58_22 = all_52_6
% 172.06/26.45    (116)  all_56_3 = all_4_2
% 172.06/26.45    (117)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.06/26.45    (118)  all_54_0 = all_6_2
% 172.06/26.45    (119)   ~ (all_52_14 = all_10_2)
% 172.06/26.45    (120)   ~ (all_52_11 = e0)
% 172.06/26.45    (121)   ~ (all_52_2 = all_52_3)
% 172.06/26.45    (122)   ~ (all_52_4 = all_52_8)
% 172.06/26.45    (123)  all_58_25 = all_52_9
% 172.06/26.45    (124)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.06/26.45             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.06/26.45    (125)  all_54_12 = all_52_3
% 172.06/26.45    (126)   ~ (all_52_2 = all_52_14)
% 172.06/26.45    (127)  all_58_21 = all_4_2
% 172.06/26.45    (128)  all_56_10 = all_52_13
% 172.06/26.45    (129)   ~ (all_52_3 = e0)
% 172.06/26.45    (130)  op(e2, all_52_9) = all_58_6
% 172.06/26.45    (131)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.06/26.45    (132)   ~ (e2 = e0)
% 172.06/26.45    (133)   ~ (all_52_1 = all_52_3)
% 172.06/26.45    (134)   ~ (all_52_14 = e0)
% 172.06/26.45    (135)  all_54_4 = all_52_1
% 172.06/26.45    (136)  all_56_7 = all_52_6
% 172.06/26.45    (137)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.06/26.45             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.06/26.45             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.06/26.45             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.06/26.45             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.06/26.45             (all_58_15 = e0))
% 172.06/26.45    (138)  all_54_5 = all_4_2
% 172.06/26.45    (139)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.06/26.45    (140)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 172.06/26.45    (141)   ~ (all_52_2 = all_10_2)
% 172.06/26.45    (142)  op(e1, e2) = all_52_6
% 172.06/26.45    (143)  all_56_0 = e3 | all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3
% 172.06/26.45    (144)  all_54_11 = all_52_14
% 172.06/26.45    (145)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.06/26.45    (146)   ~ (all_52_12 = all_52_13)
% 172.06/26.45  
% 172.06/26.45  Begin of proof
% 172.06/26.45  | 
% 172.06/26.45  | GROUND_INST: instantiating (124) with all_14_1, all_58_15, e0, e0, simplifying
% 172.06/26.45  |              with (14), (89) gives:
% 172.06/26.45  |   (147)  all_58_15 = all_14_1
% 172.06/26.45  | 
% 172.06/26.45  | GROUND_INST: instantiating (124) with e0, all_58_15, e0, e0, simplifying with
% 172.06/26.45  |              (89), (96) gives:
% 172.17/26.45  |   (148)  all_58_15 = e0
% 172.17/26.45  | 
% 172.17/26.45  | COMBINE_EQS: (147), (148) imply:
% 172.17/26.45  |   (149)  all_14_1 = e0
% 172.17/26.45  | 
% 172.17/26.45  | SIMP: (149) implies:
% 172.17/26.45  |   (150)  all_14_1 = e0
% 172.17/26.45  | 
% 172.17/26.45  | REDUCE: (13), (150) imply:
% 172.17/26.45  |   (151)  op(e0, e0) = all_14_0
% 172.17/26.45  | 
% 172.17/26.45  | GROUND_INST: instantiating (124) with e0, all_14_0, e0, e0, simplifying with
% 172.17/26.45  |              (96), (151) gives:
% 172.17/26.45  |   (152)  all_14_0 = e0
% 172.17/26.45  | 
% 172.17/26.45  | REDUCE: (83), (152) imply:
% 172.17/26.45  |   (153)   ~ (e1 = e0)
% 172.17/26.45  | 
% 172.17/26.45  | SIMP: (153) implies:
% 172.17/26.45  |   (154)   ~ (e1 = e0)
% 172.17/26.45  | 
% 172.17/26.45  | BETA: splitting (94) gives:
% 172.17/26.45  | 
% 172.17/26.45  | Case 1:
% 172.17/26.45  | | 
% 172.17/26.45  | |   (155)  all_56_2 = e0
% 172.17/26.45  | | 
% 172.17/26.45  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13),
% 172.17/26.45  | |            (14), (16), (20), (21), (23), (25), (27), (28), (29), (30), (31),
% 172.17/26.45  | |            (33), (34), (38), (41), (42), (44), (45), (47), (48), (49), (50),
% 172.17/26.45  | |            (52), (53), (54), (56), (57), (58), (59), (60), (62), (63), (64),
% 172.17/26.45  | |            (65), (66), (67), (69), (70), (71), (73), (74), (75), (76), (77),
% 172.17/26.45  | |            (79), (80), (81), (82), (83), (84), (86), (89), (91), (92), (93),
% 172.17/26.45  | |            (94), (96), (97), (100), (101), (102), (103), (104), (105),
% 172.17/26.45  | |            (106), (108), (109), (110), (111), (112), (114), (115), (116),
% 172.17/26.45  | |            (117), (118), (119), (120), (121), (123), (124), (126), (127),
% 172.17/26.45  | |            (128), (132), (133), (134), (136), (137), (138), (141), (142),
% 172.17/26.45  | |            (143), (144), (145), (155) are inconsistent by sub-proof #236.
% 172.17/26.45  | | 
% 172.17/26.45  | Case 2:
% 172.17/26.45  | | 
% 172.17/26.45  | |   (156)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.17/26.45  | | 
% 172.17/26.45  | | BETA: splitting (156) gives:
% 172.17/26.45  | | 
% 172.17/26.45  | | Case 1:
% 172.17/26.45  | | | 
% 172.17/26.45  | | |   (157)  all_56_3 = e0
% 172.17/26.45  | | | 
% 172.17/26.45  | | | COMBINE_EQS: (116), (157) imply:
% 172.17/26.45  | | |   (158)  all_4_2 = e0
% 172.17/26.45  | | | 
% 172.17/26.45  | | | REDUCE: (88), (158) imply:
% 172.17/26.45  | | |   (159)  $false
% 172.17/26.45  | | | 
% 172.17/26.45  | | | CLOSE: (159) is inconsistent.
% 172.17/26.45  | | | 
% 172.17/26.45  | | Case 2:
% 172.17/26.45  | | | 
% 172.17/26.45  | | |   (160)  all_56_5 = e0 | all_56_10 = e0
% 172.17/26.45  | | | 
% 172.17/26.45  | | | BETA: splitting (160) gives:
% 172.17/26.45  | | | 
% 172.17/26.45  | | | Case 1:
% 172.17/26.45  | | | | 
% 172.17/26.45  | | | |   (161)  all_56_5 = e0
% 172.17/26.45  | | | | 
% 172.17/26.45  | | | | COMBINE_EQS: (16), (161) imply:
% 172.17/26.45  | | | |   (162)  all_52_9 = e0
% 172.17/26.45  | | | | 
% 172.17/26.45  | | | | COMBINE_EQS: (123), (162) imply:
% 172.17/26.45  | | | |   (163)  all_58_25 = e0
% 172.17/26.45  | | | | 
% 172.17/26.45  | | | | REDUCE: (114), (162) imply:
% 172.17/26.45  | | | |   (164)   ~ (all_52_11 = e0)
% 172.17/26.45  | | | | 
% 172.17/26.45  | | | | REDUCE: (37), (162) imply:
% 172.17/26.45  | | | |   (165)   ~ (all_52_13 = e0)
% 172.17/26.45  | | | | 
% 172.17/26.45  | | | | REDUCE: (48), (162) imply:
% 172.17/26.45  | | | |   (166)   ~ (all_10_2 = e0)
% 172.17/26.45  | | | | 
% 172.17/26.45  | | | | REDUCE: (28), (162) imply:
% 172.17/26.45  | | | |   (167)   ~ (all_4_2 = e0)
% 172.17/26.45  | | | | 
% 172.17/26.45  | | | | REDUCE: (130), (162) imply:
% 172.17/26.45  | | | |   (168)  op(e2, e0) = all_58_6
% 172.17/26.45  | | | | 
% 172.17/26.45  | | | | GROUND_INST: instantiating (124) with all_52_13, all_58_6, e0, e2,
% 172.17/26.45  | | | |              simplifying with (19), (168) gives:
% 172.17/26.45  | | | |   (169)  all_58_6 = all_52_13
% 172.17/26.45  | | | | 
% 172.17/26.45  | | | | BETA: splitting (102) gives:
% 172.17/26.45  | | | | 
% 172.17/26.45  | | | | Case 1:
% 172.17/26.45  | | | | | 
% 172.17/26.45  | | | | |   (170)  all_56_0 = e0
% 172.17/26.45  | | | | | 
% 172.17/26.45  | | | | | COMBINE_EQS: (47), (170) imply:
% 172.17/26.45  | | | | |   (171)  all_6_2 = e0
% 172.17/26.45  | | | | | 
% 172.17/26.45  | | | | | SIMP: (171) implies:
% 172.17/26.45  | | | | |   (172)  all_6_2 = e0
% 172.17/26.45  | | | | | 
% 172.17/26.45  | | | | | COMBINE_EQS: (76), (172) imply:
% 172.17/26.45  | | | | |   (173)  all_58_16 = e0
% 172.17/26.45  | | | | | 
% 172.17/26.45  | | | | | REDUCE: (41), (172) imply:
% 172.17/26.45  | | | | |   (174)   ~ (all_52_1 = e0)
% 172.17/26.45  | | | | | 
% 172.17/26.45  | | | | | REDUCE: (10), (172) imply:
% 172.17/26.45  | | | | |   (175)   ~ (all_52_2 = e0)
% 172.17/26.45  | | | | | 
% 172.17/26.45  | | | | | REDUCE: (106), (172) imply:
% 172.17/26.45  | | | | |   (176)   ~ (all_52_8 = e0)
% 172.17/26.45  | | | | | 
% 172.17/26.45  | | | | | REDUCE: (18), (172) imply:
% 172.17/26.45  | | | | |   (177)   ~ (all_52_12 = e0)
% 172.17/26.45  | | | | | 
% 172.17/26.45  | | | | | REDUCE: (40), (172) imply:
% 172.17/26.45  | | | | |   (178)  op(all_6_1, e0) = e0
% 172.17/26.45  | | | | | 
% 172.17/26.45  | | | | | REDUCE: (17), (172) imply:
% 172.17/26.45  | | | | |   (179)  op(e0, e3) = all_6_1
% 172.17/26.45  | | | | | 
% 172.17/26.45  | | | | | REDUCE: (23), (172) imply:
% 172.17/26.45  | | | | |   (180)  op(e3, e0) = all_58_0
% 172.17/26.45  | | | | | 
% 172.17/26.45  | | | | | REF_CLOSE: (2), (5), (6), (7), (8), (9), (11), (12), (15), (19), (20),
% 172.17/26.45  | | | | |            (21), (22), (24), (26), (30), (32), (33), (34), (35), (36),
% 172.17/26.45  | | | | |            (39), (42), (43), (44), (45), (46), (49), (50), (51), (53),
% 172.17/26.45  | | | | |            (55), (56), (58), (59), (61), (65), (66), (67), (68), (70),
% 172.17/26.45  | | | | |            (72), (73), (77), (78), (82), (84), (85), (86), (90), (93),
% 172.17/26.45  | | | | |            (95), (98), (99), (100), (103), (104), (105), (107), (108),
% 172.17/26.45  | | | | |            (112), (113), (115), (116), (120), (121), (122), (124),
% 172.17/26.45  | | | | |            (125), (126), (127), (128), (129), (131), (132), (133),
% 172.17/26.45  | | | | |            (134), (135), (136), (138), (139), (140), (141), (142),
% 172.17/26.45  | | | | |            (145), (146), (154), (161), (163), (173), (174), (175),
% 172.17/26.45  | | | | |            (176), (177), (178), (179), (180) are inconsistent by
% 172.17/26.45  | | | | |            sub-proof #230.
% 172.17/26.45  | | | | | 
% 172.17/26.45  | | | | Case 2:
% 172.17/26.45  | | | | | 
% 172.17/26.45  | | | | |   (181)   ~ (all_56_0 = e0)
% 172.17/26.45  | | | | | 
% 172.17/26.45  | | | | | REDUCE: (47), (181) imply:
% 172.17/26.45  | | | | |   (182)   ~ (all_6_2 = e0)
% 172.17/26.45  | | | | | 
% 172.17/26.45  | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (11), (12),
% 172.17/26.45  | | | | |            (13), (14), (16), (20), (21), (23), (25), (27), (28), (29),
% 172.17/26.45  | | | | |            (30), (31), (33), (34), (38), (41), (42), (44), (45), (47),
% 172.17/26.45  | | | | |            (48), (49), (50), (52), (53), (54), (56), (57), (58), (59),
% 172.17/26.45  | | | | |            (60), (62), (63), (64), (65), (66), (67), (69), (70), (71),
% 172.17/26.45  | | | | |            (73), (74), (75), (76), (77), (79), (80), (81), (82), (83),
% 172.17/26.45  | | | | |            (84), (86), (87), (88), (89), (91), (92), (93), (94), (96),
% 172.17/26.45  | | | | |            (100), (101), (102), (103), (104), (105), (106), (108),
% 172.17/26.45  | | | | |            (109), (110), (111), (112), (114), (115), (116), (117),
% 172.17/26.45  | | | | |            (118), (119), (120), (121), (123), (124), (126), (127),
% 172.17/26.45  | | | | |            (128), (129), (132), (133), (134), (136), (137), (138),
% 172.17/26.45  | | | | |            (141), (142), (143), (144), (145), (182) are inconsistent
% 172.17/26.45  | | | | |            by sub-proof #911.
% 172.17/26.45  | | | | | 
% 172.17/26.45  | | | | End of split
% 172.17/26.45  | | | | 
% 172.17/26.45  | | | Case 2:
% 172.17/26.45  | | | | 
% 172.17/26.45  | | | |   (183)  all_56_10 = e0
% 172.17/26.45  | | | | 
% 172.17/26.45  | | | | REF_CLOSE: (87), (128), (183) are inconsistent by sub-proof #943.
% 172.17/26.45  | | | | 
% 172.17/26.45  | | | End of split
% 172.17/26.45  | | | 
% 172.17/26.45  | | End of split
% 172.17/26.45  | | 
% 172.17/26.45  | End of split
% 172.17/26.45  | 
% 172.17/26.45  End of proof
% 172.17/26.45  
% 172.17/26.45  Sub-proof #230 shows that the following formulas are inconsistent:
% 172.17/26.45  ----------------------------------------------------------------
% 172.17/26.45    (1)  all_56_12 = all_52_3
% 172.17/26.45    (2)  op(e1, all_52_14) = all_58_11
% 172.17/26.45    (3)   ~ (all_10_2 = e0)
% 172.17/26.45    (4)   ~ (all_52_8 = all_52_12)
% 172.17/26.45    (5)   ~ (e3 = e1)
% 172.17/26.45    (6)  all_58_23 = all_52_7
% 172.17/26.45    (7)   ~ (all_52_4 = all_4_2)
% 172.17/26.45    (8)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.17/26.45    (9)  all_54_3 = all_52_12
% 172.17/26.45    (10)  op(e2, e0) = all_52_13
% 172.17/26.45    (11)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 172.17/26.45    (12)   ~ (all_52_6 = all_4_2)
% 172.17/26.45    (13)   ~ (all_14_2 = e1)
% 172.17/26.45    (14)  all_56_15 = all_14_2
% 172.17/26.45    (15)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 172.17/26.45    (16)  all_56_14 = all_52_11
% 172.17/26.45    (17)   ~ (all_52_13 = all_4_2)
% 172.17/26.45    (18)  all_56_8 = all_10_2
% 172.17/26.45    (19)  all_58_26 = all_10_2
% 172.17/26.45    (20)   ~ (all_52_4 = all_52_6)
% 172.17/26.45    (21)   ~ (all_52_11 = all_10_2)
% 172.17/26.45    (22)  all_58_25 = e0
% 172.17/26.45    (23)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.17/26.45    (24)  all_56_11 = all_52_14
% 172.17/26.45    (25)  all_56_15 = e0
% 172.17/26.45    (26)   ~ (all_52_6 = all_52_7)
% 172.17/26.45    (27)   ~ (all_4_1 = e0)
% 172.17/26.45    (28)  all_56_2 = e2 | all_56_3 = e2 | all_56_5 = e2 | all_56_10 = e2
% 172.17/26.45    (29)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.17/26.45    (30)  all_58_27 = all_52_11
% 172.17/26.45    (31)  all_54_14 = all_52_11
% 172.17/26.45    (32)  op(all_4_2, e2) = all_4_1
% 172.17/26.45    (33)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.17/26.45    (34)  all_58_17 = all_52_1
% 172.17/26.45    (35)  all_58_19 = all_52_3
% 172.17/26.45    (36)  all_56_9 = all_52_12
% 172.17/26.45    (37)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 172.17/26.45    (38)   ~ (all_52_4 = all_52_7)
% 172.17/26.45    (39)   ~ (e2 = e1)
% 172.17/26.45    (40)   ~ (all_52_6 = all_10_2)
% 172.17/26.45    (41)  op(e3, e0) = all_58_0
% 172.17/26.45    (42)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.17/26.45    (43)   ~ (all_52_2 = e0)
% 172.17/26.45    (44)   ~ (all_52_1 = all_4_2)
% 172.17/26.45    (45)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.17/26.45    (46)  all_58_18 = all_52_2
% 172.17/26.45    (47)  all_58_16 = e0
% 172.17/26.45    (48)  all_56_13 = all_52_7
% 172.17/26.45    (49)  op(e0, e3) = all_52_3
% 172.17/26.45    (50)   ~ (all_52_12 = e0)
% 172.17/26.45    (51)  all_56_2 = all_52_1
% 172.17/26.45    (52)  op(e0, e3) = all_6_1
% 172.17/26.45    (53)   ~ (e3 = e0)
% 172.17/26.45    (54)  op(e3, e0) = all_52_12
% 172.17/26.45    (55)   ~ (all_52_1 = all_52_2)
% 172.17/26.45    (56)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.17/26.45    (57)  all_56_4 = all_52_8
% 172.17/26.45    (58)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.17/26.45    (59)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.17/26.45    (60)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 172.17/26.45    (61)  all_58_20 = all_52_4
% 172.17/26.45    (62)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 172.17/26.45    (63)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.17/26.45    (64)   ~ (all_52_8 = all_52_11)
% 172.17/26.45    (65)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 172.17/26.45    (66)  all_56_6 = all_52_2
% 172.17/26.45    (67)  all_58_24 = all_52_8
% 172.17/26.45    (68)  op(all_6_1, e0) = e0
% 172.17/26.45    (69)   ~ (all_52_12 = all_52_14)
% 172.17/26.45    (70)  all_58_22 = all_52_6
% 172.17/26.45    (71)  all_56_3 = all_4_2
% 172.17/26.45    (72)   ~ (all_52_11 = e0)
% 172.17/26.45    (73)   ~ (all_52_1 = e0)
% 172.17/26.45    (74)   ~ (all_52_2 = all_52_3)
% 172.17/26.45    (75)   ~ (all_52_4 = all_52_8)
% 172.17/26.45    (76)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.17/26.45            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.17/26.45    (77)  all_54_12 = all_52_3
% 172.17/26.45    (78)   ~ (all_52_2 = all_52_14)
% 172.17/26.45    (79)  all_58_21 = all_4_2
% 172.17/26.45    (80)  all_56_10 = all_52_13
% 172.17/26.45    (81)   ~ (all_52_3 = e0)
% 172.17/26.45    (82)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.17/26.45    (83)   ~ (e2 = e0)
% 172.17/26.45    (84)   ~ (all_52_1 = all_52_3)
% 172.17/26.45    (85)   ~ (all_52_14 = e0)
% 172.17/26.45    (86)   ~ (e1 = e0)
% 172.17/26.45    (87)  all_54_4 = all_52_1
% 172.17/26.45    (88)  all_56_5 = e0
% 172.17/26.45    (89)  all_56_7 = all_52_6
% 172.17/26.45    (90)   ~ (all_52_8 = e0)
% 172.17/26.45    (91)  all_54_5 = all_4_2
% 172.17/26.45    (92)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.17/26.45    (93)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 172.17/26.45    (94)   ~ (all_52_2 = all_10_2)
% 172.17/26.45    (95)  op(e1, e2) = all_52_6
% 172.17/26.45    (96)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.17/26.45    (97)   ~ (all_52_12 = all_52_13)
% 172.17/26.45  
% 172.17/26.45  Begin of proof
% 172.17/26.45  | 
% 172.17/26.45  | BETA: splitting (62) gives:
% 172.17/26.45  | 
% 172.17/26.45  | Case 1:
% 172.17/26.45  | | 
% 172.17/26.45  | |   (98)  all_56_6 = e0
% 172.17/26.45  | | 
% 172.17/26.45  | | COMBINE_EQS: (66), (98) imply:
% 172.17/26.45  | |   (99)  all_52_2 = e0
% 172.17/26.45  | | 
% 172.17/26.45  | | REDUCE: (43), (99) imply:
% 172.17/26.45  | |   (100)  $false
% 172.17/26.45  | | 
% 172.17/26.45  | | CLOSE: (100) is inconsistent.
% 172.17/26.45  | | 
% 172.17/26.45  | Case 2:
% 172.17/26.45  | | 
% 172.17/26.45  | |   (101)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 172.17/26.45  | | 
% 172.17/26.45  | | BETA: splitting (101) gives:
% 172.17/26.45  | | 
% 172.17/26.45  | | Case 1:
% 172.17/26.45  | | | 
% 172.17/26.45  | | |   (102)  all_56_7 = e0
% 172.17/26.45  | | | 
% 172.17/26.45  | | | COMBINE_EQS: (89), (102) imply:
% 172.17/26.45  | | |   (103)  all_52_6 = e0
% 172.17/26.45  | | | 
% 172.17/26.45  | | | COMBINE_EQS: (70), (103) imply:
% 172.17/26.45  | | |   (104)  all_58_22 = e0
% 172.17/26.45  | | | 
% 172.17/26.45  | | | REDUCE: (20), (103) imply:
% 172.17/26.45  | | |   (105)   ~ (all_52_4 = e0)
% 172.17/26.45  | | | 
% 172.17/26.45  | | | REDUCE: (26), (103) imply:
% 172.17/26.45  | | |   (106)   ~ (all_52_7 = e0)
% 172.17/26.45  | | | 
% 172.17/26.45  | | | SIMP: (106) implies:
% 172.17/26.45  | | |   (107)   ~ (all_52_7 = e0)
% 172.17/26.45  | | | 
% 172.17/26.45  | | | REDUCE: (40), (103) imply:
% 172.17/26.45  | | |   (108)   ~ (all_10_2 = e0)
% 172.17/26.45  | | | 
% 172.17/26.45  | | | REDUCE: (12), (103) imply:
% 172.17/26.45  | | |   (109)   ~ (all_4_2 = e0)
% 172.17/26.45  | | | 
% 172.17/26.45  | | | SIMP: (109) implies:
% 172.17/26.45  | | |   (110)   ~ (all_4_2 = e0)
% 172.17/26.45  | | | 
% 172.17/26.45  | | | REDUCE: (95), (103) imply:
% 172.17/26.45  | | |   (111)  op(e1, e2) = e0
% 172.17/26.45  | | | 
% 172.17/26.45  | | | GROUND_INST: instantiating (76) with all_52_3, all_6_1, e3, e0,
% 172.17/26.45  | | |              simplifying with (49), (52) gives:
% 172.17/26.45  | | |   (112)  all_52_3 = all_6_1
% 172.17/26.45  | | | 
% 172.17/26.45  | | | GROUND_INST: instantiating (76) with all_52_12, all_58_0, e0, e3,
% 172.17/26.45  | | |              simplifying with (41), (54) gives:
% 172.17/26.45  | | |   (113)  all_58_0 = all_52_12
% 172.17/26.45  | | | 
% 172.17/26.45  | | | COMBINE_EQS: (77), (112) imply:
% 172.17/26.45  | | |   (114)  all_54_12 = all_6_1
% 172.17/26.45  | | | 
% 172.17/26.45  | | | COMBINE_EQS: (1), (112) imply:
% 172.17/26.45  | | |   (115)  all_56_12 = all_6_1
% 172.17/26.45  | | | 
% 172.17/26.45  | | | COMBINE_EQS: (35), (112) imply:
% 172.17/26.45  | | |   (116)  all_58_19 = all_6_1
% 172.17/26.45  | | | 
% 172.17/26.45  | | | REDUCE: (84), (112) imply:
% 172.17/26.45  | | |   (117)   ~ (all_52_1 = all_6_1)
% 172.17/26.45  | | | 
% 172.17/26.45  | | | REDUCE: (74), (112) imply:
% 172.17/26.45  | | |   (118)   ~ (all_52_2 = all_6_1)
% 172.17/26.45  | | | 
% 172.17/26.45  | | | REDUCE: (81), (112) imply:
% 172.17/26.45  | | |   (119)   ~ (all_6_1 = e0)
% 172.17/26.45  | | | 
% 172.17/26.45  | | | BETA: splitting (60) gives:
% 172.17/26.45  | | | 
% 172.17/26.45  | | | Case 1:
% 172.17/26.45  | | | | 
% 172.17/26.45  | | | |   (120)  all_54_12 = e0
% 172.17/26.45  | | | | 
% 172.17/26.45  | | | | REF_CLOSE: (114), (119), (120) are inconsistent by sub-proof #644.
% 172.17/26.45  | | | | 
% 172.17/26.45  | | | Case 2:
% 172.17/26.45  | | | | 
% 172.17/26.45  | | | |   (121)   ~ (all_54_12 = e0)
% 172.17/26.45  | | | |   (122)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 172.17/26.45  | | | | 
% 172.17/26.45  | | | | BETA: splitting (11) gives:
% 172.17/26.45  | | | | 
% 172.17/26.45  | | | | Case 1:
% 172.17/26.45  | | | | | 
% 172.17/26.45  | | | | |   (123)  all_54_5 = e0
% 172.17/26.45  | | | | | 
% 172.17/26.45  | | | | | REF_CLOSE: (91), (110), (123) are inconsistent by sub-proof #983.
% 172.17/26.45  | | | | | 
% 172.17/26.45  | | | | Case 2:
% 172.17/26.45  | | | | | 
% 172.17/26.45  | | | | |   (124)   ~ (all_54_5 = e0)
% 172.17/26.45  | | | | |   (125)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 172.17/26.45  | | | | | 
% 172.17/26.45  | | | | | BETA: splitting (15) gives:
% 172.17/26.45  | | | | | 
% 172.17/26.45  | | | | | Case 1:
% 172.17/26.45  | | | | | | 
% 172.17/26.45  | | | | | |   (126)  all_54_3 = e0
% 172.17/26.45  | | | | | | 
% 172.17/26.45  | | | | | | REF_CLOSE: (9), (50), (126) are inconsistent by sub-proof #898.
% 172.17/26.45  | | | | | | 
% 172.17/26.45  | | | | | Case 2:
% 172.17/26.45  | | | | | | 
% 172.17/26.45  | | | | | |   (127)   ~ (all_54_3 = e0)
% 172.17/26.45  | | | | | |   (128)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 172.17/26.45  | | | | | | 
% 172.17/26.45  | | | | | | BETA: splitting (37) gives:
% 172.17/26.45  | | | | | | 
% 172.17/26.45  | | | | | | Case 1:
% 172.17/26.45  | | | | | | | 
% 172.17/26.45  | | | | | | |   (129)  all_54_14 = e0
% 172.17/26.45  | | | | | | | 
% 172.17/26.45  | | | | | | | REF_CLOSE: (31), (72), (129) are inconsistent by sub-proof #799.
% 172.17/26.45  | | | | | | | 
% 172.17/26.45  | | | | | | Case 2:
% 172.17/26.45  | | | | | | | 
% 172.17/26.45  | | | | | | |   (130)   ~ (all_54_14 = e0)
% 172.17/26.45  | | | | | | |   (131)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 172.17/26.45  | | | | | | | 
% 172.17/26.45  | | | | | | | BETA: splitting (65) gives:
% 172.17/26.45  | | | | | | | 
% 172.17/26.45  | | | | | | | Case 1:
% 172.17/26.45  | | | | | | | | 
% 172.17/26.45  | | | | | | | |   (132)  all_54_4 = e0
% 172.17/26.45  | | | | | | | | 
% 172.17/26.45  | | | | | | | | REF_CLOSE: (73), (87), (132) are inconsistent by sub-proof #902.
% 172.17/26.45  | | | | | | | | 
% 172.17/26.45  | | | | | | | Case 2:
% 172.17/26.45  | | | | | | | | 
% 172.17/26.45  | | | | | | | |   (133)   ~ (all_54_4 = e0)
% 172.17/26.45  | | | | | | | |   (134)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 172.17/26.45  | | | | | | | | 
% 172.17/26.45  | | | | | | | | BETA: splitting (29) gives:
% 172.17/26.45  | | | | | | | | 
% 172.17/26.45  | | | | | | | | Case 1:
% 172.17/26.45  | | | | | | | | | 
% 172.17/26.45  | | | | | | | | |   (135)  all_58_27 = e0
% 172.17/26.45  | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | COMBINE_EQS: (30), (135) imply:
% 172.17/26.45  | | | | | | | | |   (136)  all_52_11 = e0
% 172.17/26.45  | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | REDUCE: (72), (136) imply:
% 172.17/26.45  | | | | | | | | |   (137)  $false
% 172.17/26.45  | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | CLOSE: (137) is inconsistent.
% 172.17/26.45  | | | | | | | | | 
% 172.17/26.45  | | | | | | | | Case 2:
% 172.17/26.45  | | | | | | | | | 
% 172.17/26.45  | | | | | | | | |   (138)   ~ (all_58_27 = e0)
% 172.17/26.45  | | | | | | | | |   (139)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.17/26.45  | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | BETA: splitting (8) gives:
% 172.17/26.45  | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | Case 1:
% 172.17/26.45  | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | |   (140)  all_58_19 = e0
% 172.17/26.45  | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | COMBINE_EQS: (116), (140) imply:
% 172.17/26.45  | | | | | | | | | |   (141)  all_6_1 = e0
% 172.17/26.45  | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | REDUCE: (119), (141) imply:
% 172.17/26.45  | | | | | | | | | |   (142)  $false
% 172.17/26.45  | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | CLOSE: (142) is inconsistent.
% 172.17/26.45  | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | Case 2:
% 172.17/26.45  | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | |   (143)   ~ (all_58_19 = e0)
% 172.17/26.45  | | | | | | | | | |   (144)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.17/26.45  | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | BETA: splitting (63) gives:
% 172.17/26.45  | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | Case 1:
% 172.17/26.45  | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | |   (145)  all_58_23 = e0
% 172.17/26.45  | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | COMBINE_EQS: (6), (145) imply:
% 172.17/26.45  | | | | | | | | | | |   (146)  all_52_7 = e0
% 172.17/26.45  | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | REDUCE: (107), (146) imply:
% 172.17/26.45  | | | | | | | | | | |   (147)  $false
% 172.17/26.45  | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | CLOSE: (147) is inconsistent.
% 172.17/26.45  | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | Case 2:
% 172.17/26.45  | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | |   (148)   ~ (all_58_23 = e0)
% 172.17/26.45  | | | | | | | | | | |   (149)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.17/26.45  | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | BETA: splitting (58) gives:
% 172.17/26.45  | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | Case 1:
% 172.17/26.45  | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | |   (150)  all_56_12 = e3
% 172.17/26.45  | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | COMBINE_EQS: (115), (150) imply:
% 172.17/26.45  | | | | | | | | | | | |   (151)  all_6_1 = e3
% 172.17/26.45  | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | SIMP: (151) implies:
% 172.17/26.45  | | | | | | | | | | | |   (152)  all_6_1 = e3
% 172.17/26.45  | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | REDUCE: (68), (152) imply:
% 172.17/26.45  | | | | | | | | | | | |   (153)  op(e3, e0) = e0
% 172.17/26.45  | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | GROUND_INST: instantiating (76) with all_52_12, e0, e0, e3,
% 172.17/26.45  | | | | | | | | | | | |              simplifying with (54), (153) gives:
% 172.17/26.45  | | | | | | | | | | | |   (154)  all_52_12 = e0
% 172.17/26.45  | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | REDUCE: (50), (154) imply:
% 172.17/26.45  | | | | | | | | | | | |   (155)  $false
% 172.17/26.45  | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | CLOSE: (155) is inconsistent.
% 172.17/26.45  | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | Case 2:
% 172.17/26.45  | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | |   (156)  all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.17/26.45  | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | BETA: splitting (42) gives:
% 172.17/26.45  | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | Case 1:
% 172.17/26.45  | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | |   (157)  all_56_9 = e3
% 172.17/26.45  | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | COMBINE_EQS: (36), (157) imply:
% 172.17/26.45  | | | | | | | | | | | | |   (158)  all_52_12 = e3
% 172.17/26.45  | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | SIMP: (158) implies:
% 172.17/26.45  | | | | | | | | | | | | |   (159)  all_52_12 = e3
% 172.17/26.45  | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | REDUCE: (4), (159) imply:
% 172.17/26.45  | | | | | | | | | | | | |   (160)   ~ (all_52_8 = e3)
% 172.17/26.45  | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | REF_CLOSE: (2), (3), (7), (18), (19), (22), (24), (27), (32),
% 172.17/26.45  | | | | | | | | | | | | |            (34), (44), (46), (47), (53), (55), (56), (61),
% 172.17/26.45  | | | | | | | | | | | | |            (66), (67), (73), (75), (76), (79), (83), (91),
% 172.17/26.45  | | | | | | | | | | | | |            (94), (102), (104), (105), (111), (125), (139),
% 172.17/26.45  | | | | | | | | | | | | |            (144), (149), (160) are inconsistent by sub-proof
% 172.17/26.45  | | | | | | | | | | | | |            #235.
% 172.17/26.45  | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | Case 2:
% 172.17/26.45  | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | |   (161)   ~ (all_56_9 = e3)
% 172.17/26.45  | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | REDUCE: (36), (161) imply:
% 172.17/26.45  | | | | | | | | | | | | |   (162)   ~ (all_52_12 = e3)
% 172.17/26.45  | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | BETA: splitting (33) gives:
% 172.17/26.45  | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | Case 1:
% 172.17/26.45  | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | |   (163)  all_56_9 = e2
% 172.17/26.45  | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | COMBINE_EQS: (36), (163) imply:
% 172.17/26.45  | | | | | | | | | | | | | |   (164)  all_52_12 = e2
% 172.17/26.45  | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | SIMP: (164) implies:
% 172.17/26.45  | | | | | | | | | | | | | |   (165)  all_52_12 = e2
% 172.17/26.45  | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | REDUCE: (69), (165) imply:
% 172.17/26.45  | | | | | | | | | | | | | |   (166)   ~ (all_52_14 = e2)
% 172.17/26.45  | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | SIMP: (166) implies:
% 172.17/26.45  | | | | | | | | | | | | | |   (167)   ~ (all_52_14 = e2)
% 172.17/26.45  | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | BETA: splitting (56) gives:
% 172.17/26.45  | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | Case 1:
% 172.17/26.45  | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | |   (168)  all_56_6 = e2
% 172.17/26.45  | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | COMBINE_EQS: (66), (168) imply:
% 172.17/26.45  | | | | | | | | | | | | | | |   (169)  all_52_2 = e2
% 172.17/26.45  | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | REDUCE: (55), (169) imply:
% 172.17/26.45  | | | | | | | | | | | | | | |   (170)   ~ (all_52_1 = e2)
% 172.17/26.45  | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | REDUCE: (118), (169) imply:
% 172.17/26.45  | | | | | | | | | | | | | | |   (171)   ~ (all_6_1 = e2)
% 172.17/26.45  | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | SIMP: (171) implies:
% 172.17/26.45  | | | | | | | | | | | | | | |   (172)   ~ (all_6_1 = e2)
% 172.17/26.45  | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | REF_CLOSE: (34), (46), (47), (51), (53), (55), (87), (96),
% 172.17/26.45  | | | | | | | | | | | | | | |            (114), (117), (118), (122), (134), (144), (170),
% 172.17/26.45  | | | | | | | | | | | | | | |            (172) are inconsistent by sub-proof #234.
% 172.17/26.45  | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | Case 2:
% 172.17/26.45  | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | |   (173)  all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.17/26.45  | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | BETA: splitting (173) gives:
% 172.17/26.45  | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | Case 1:
% 172.17/26.45  | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | |   (174)  all_56_7 = e2
% 172.17/26.45  | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | REF_CLOSE: (83), (102), (174) are inconsistent by sub-proof
% 172.17/26.45  | | | | | | | | | | | | | | | |            #636.
% 172.17/26.45  | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | Case 2:
% 172.17/26.45  | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | |   (175)  all_56_8 = e2 | all_56_11 = e2
% 172.17/26.45  | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 172.17/26.45  | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | Case 1:
% 172.17/26.45  | | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | |   (176)  all_56_8 = e2
% 172.17/26.45  | | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | | COMBINE_EQS: (18), (176) imply:
% 172.17/26.45  | | | | | | | | | | | | | | | | |   (177)  all_10_2 = e2
% 172.17/26.45  | | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | | SIMP: (177) implies:
% 172.17/26.45  | | | | | | | | | | | | | | | | |   (178)  all_10_2 = e2
% 172.17/26.45  | | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | | COMBINE_EQS: (19), (178) imply:
% 172.17/26.45  | | | | | | | | | | | | | | | | |   (179)  all_58_26 = e2
% 172.17/26.45  | | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | | REDUCE: (21), (178) imply:
% 172.17/26.45  | | | | | | | | | | | | | | | | |   (180)   ~ (all_52_11 = e2)
% 172.17/26.45  | | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | | BETA: splitting (139) gives:
% 172.17/26.45  | | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | | Case 1:
% 172.17/26.45  | | | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | | |   (181)  all_58_26 = e1
% 172.17/26.45  | | | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (179), (181) are inconsistent by sub-proof
% 172.17/26.45  | | | | | | | | | | | | | | | | | |            #233.
% 172.17/26.45  | | | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | | Case 2:
% 172.17/26.45  | | | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | | |   (182)   ~ (all_58_26 = e1)
% 172.17/26.45  | | | | | | | | | | | | | | | | | |   (183)  all_58_24 = e3 | all_58_25 = e2
% 172.17/26.45  | | | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 172.17/26.45  | | | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | | | Case 1:
% 172.17/26.45  | | | | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | | | |   (184)  all_58_25 = e2
% 172.17/26.45  | | | | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22), (184) imply:
% 172.17/26.45  | | | | | | | | | | | | | | | | | | |   (185)  e2 = e0
% 172.17/26.45  | | | | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | | | | REDUCE: (83), (185) imply:
% 172.17/26.45  | | | | | | | | | | | | | | | | | | |   (186)  $false
% 172.17/26.45  | | | | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | | | | CLOSE: (186) is inconsistent.
% 172.17/26.45  | | | | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | | | Case 2:
% 172.17/26.45  | | | | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | | | |   (187)  all_58_24 = e3
% 172.17/26.45  | | | | | | | | | | | | | | | | | | |   (188)   ~ (all_58_25 = e2)
% 172.17/26.45  | | | | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (67), (187) imply:
% 172.17/26.45  | | | | | | | | | | | | | | | | | | |   (189)  all_52_8 = e3
% 172.17/26.45  | | | | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | | | | SIMP: (189) implies:
% 172.17/26.45  | | | | | | | | | | | | | | | | | | |   (190)  all_52_8 = e3
% 172.17/26.45  | | | | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (57), (190) imply:
% 172.17/26.45  | | | | | | | | | | | | | | | | | | |   (191)  all_56_4 = e3
% 172.17/26.45  | | | | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | | | | REDUCE: (22), (188) imply:
% 172.17/26.45  | | | | | | | | | | | | | | | | | | |   (192)   ~ (e2 = e0)
% 172.17/26.45  | | | | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | | | | REDUCE: (64), (190) imply:
% 172.17/26.45  | | | | | | | | | | | | | | | | | | |   (193)   ~ (all_52_11 = e3)
% 172.17/26.45  | | | | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | | | | SIMP: (193) implies:
% 172.17/26.45  | | | | | | | | | | | | | | | | | | |   (194)   ~ (all_52_11 = e3)
% 172.17/26.45  | | | | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | | | | BETA: splitting (156) gives:
% 172.17/26.45  | | | | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.17/26.45  | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.45  | | | | | | | | | | | | | | | | | | | |   (195)  all_56_13 = e3
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (48), (195) imply:
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | |   (196)  all_52_7 = e3
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | SIMP: (196) implies:
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | |   (197)  all_52_7 = e3
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (197) imply:
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | |   (198)   ~ (all_52_4 = e3)
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | |   (199)  all_58_22 = e1
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (86), (104), (199) are inconsistent by sub-proof
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | |            #923.
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | |   (200)   ~ (all_58_22 = e1)
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | |   (201)  all_58_20 = e3 | all_58_21 = e2
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | REDUCE: (104), (200) imply:
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | |   (202)   ~ (e1 = e0)
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (93) gives:
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | |   (203)  all_56_12 = e2
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (115), (203) imply:
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | |   (204)  all_6_1 = e2
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | SIMP: (204) implies:
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | |   (205)  all_6_1 = e2
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (205) imply:
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | |   (206)   ~ (all_52_1 = e2)
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (205) imply:
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | |   (207)   ~ (all_52_2 = e2)
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (205) imply:
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | |   (208)  op(e2, e0) = e0
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (59) gives:
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | |   (209)  all_56_4 = e1
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (22), (83), (183), (187), (191), (209) are
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #626.
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | |   (210)   ~ (all_56_4 = e1)
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | |   (211)  all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (92) gives:
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | |   (212)  all_56_12 = e1
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (203), (212) are inconsistent by sub-proof
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | |            #410.
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | |   (213)  all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (28) gives:
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  all_56_2 = e2
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (51), (214) imply:
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | | |   (215)  all_52_1 = e2
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (206), (215) imply:
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | | |   (216)  $false
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (216) is inconsistent.
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | | |   (217)  all_56_3 = e2 | all_56_5 = e2 | all_56_10 = e2
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.17/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (218)  all_56_3 = e2
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (71), (218) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (219)  all_4_2 = e2
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (79), (219) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (220)  all_58_21 = e2
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (219) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)   ~ (all_52_13 = e2)
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  all_56_5 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (86), (88), (222) are inconsistent by sub-proof
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #730.
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)   ~ (all_56_5 = e1)
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)  all_56_8 = e1 | all_56_14 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  all_58_18 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (46), (225) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  all_52_2 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (66), (226) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)  all_56_6 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (226) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)   ~ (all_52_14 = e1)
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (228) implies:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)   ~ (all_52_14 = e1)
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (207), (226) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)   ~ (e2 = e1)
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (23) gives:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)  all_56_6 = e3
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (227), (231) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  e3 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (22), (83), (183), (187), (232) are
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #643.
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)   ~ (all_56_6 = e3)
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (227), (233) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)   ~ (e3 = e1)
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (236)  all_56_9 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (163), (236) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (237)  e2 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (220), (237) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (238)  all_58_21 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (7), (18), (19), (22), (24), (27), (32),
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (34), (39), (44), (46), (47), (55), (56), (61),
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (66), (67), (73), (75), (76), (79), (83), (91),
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (94), (102), (104), (105), (111), (125), (139),
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (144), (149), (201), (238) are inconsistent by
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #232.
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (239)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  all_56_10 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (80), (240) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (241)  all_52_13 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (241) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (242)  op(e2, e0) = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (243)  all_56_13 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (195), (243) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (244)  e3 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (22), (83), (183), (187), (244) are
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #643.
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (245)  all_56_14 = e1 | all_56_15 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (246)  all_56_8 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (176), (246) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (247)  e2 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (220), (247) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  all_58_21 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (7), (18), (19), (22), (24), (27), (32),
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (34), (39), (44), (46), (47), (55), (56), (61),
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (66), (67), (73), (75), (76), (79), (83), (91),
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (94), (102), (104), (105), (111), (125), (139),
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (144), (149), (201), (248) are inconsistent by
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #232.
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  all_56_14 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16), (249) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  all_52_11 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (250) implies:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (251)  all_52_11 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  all_56_7 = e3
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (53), (102), (252) are inconsistent by sub-proof
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #642.
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (76) with e0, e1, e0, e2,
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (208), (242) gives:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  e1 = e0
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (253) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  all_56_14 = e0
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (86), (245), (254) are inconsistent by
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #875.
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  all_56_11 = e1 | all_56_15 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (24), (229), (255) are inconsistent by
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #231.
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  all_58_16 = e3 | all_58_17 = e2
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (7), (18), (19), (22), (24), (27), (32),
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (34), (44), (47), (53), (55), (56), (61), (66),
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (67), (73), (75), (76), (79), (86), (91), (102),
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (104), (105), (111), (125), (139), (149), (256)
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #632.
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (257)   ~ (all_56_3 = e2)
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (257) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)   ~ (all_4_2 = e2)
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (61), (67), (75), (79), (83), (183), (201),
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | |            (258) are inconsistent by sub-proof #751.
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | |   (259)   ~ (all_56_12 = e2)
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (115), (259) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | |   (260)   ~ (all_6_1 = e2)
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | |   (261)  all_58_21 = e2
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (79), (261) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | |   (262)  all_4_2 = e2
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (262) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | |   (263)   ~ (all_52_1 = e2)
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (46), (47), (51), (53), (55), (87), (96),
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | |            (114), (117), (118), (122), (134), (144), (260),
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | |            (263) are inconsistent by sub-proof #234.
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | |   (264)  all_58_20 = e3
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (61), (264) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | |   (265)  all_52_4 = e3
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (198), (265) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | |   (266)  $false
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (266) is inconsistent.
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | |   (267)  all_56_14 = e3 | all_56_15 = e3
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | |   (268)  all_54_14 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (31), (268) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | |   (269)  all_52_11 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | SIMP: (269) implies:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | |   (270)  all_52_11 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16), (270) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | |   (271)  all_56_14 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | REDUCE: (194), (270) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | |   (272)   ~ (e3 = e1)
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | |   (273)  all_56_14 = e3
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (273) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | |   (274)  e3 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (187), (274) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | |   (275)  all_58_24 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (22), (83), (183), (275) are inconsistent by
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #967.
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | |   (276)  all_56_15 = e3
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25), (276) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | |   (277)  e3 = e0
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (277) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | |   (278)  $false
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (278) is inconsistent.
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | |   (279)  all_54_14 = e3 | all_54_14 = e2
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (180), (194), (279) are inconsistent by
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | |            sub-proof #772.
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.46  | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | |   (280)  all_56_11 = e2
% 172.19/26.46  | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (167), (280) are inconsistent by sub-proof
% 172.19/26.46  | | | | | | | | | | | | | | | | |            #442.
% 172.19/26.46  | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | Case 2:
% 172.19/26.46  | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | |   (281)   ~ (all_56_9 = e2)
% 172.19/26.46  | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | REDUCE: (36), (281) imply:
% 172.19/26.46  | | | | | | | | | | | | | |   (282)   ~ (all_52_12 = e2)
% 172.19/26.46  | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | BETA: splitting (128) gives:
% 172.19/26.46  | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | Case 1:
% 172.19/26.46  | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | |   (283)  all_54_3 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | COMBINE_EQS: (9), (283) imply:
% 172.19/26.46  | | | | | | | | | | | | | | |   (284)  all_52_12 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | SIMP: (284) implies:
% 172.19/26.46  | | | | | | | | | | | | | | |   (285)  all_52_12 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | REDUCE: (97), (285) imply:
% 172.19/26.46  | | | | | | | | | | | | | | |   (286)   ~ (all_52_13 = e1)
% 172.19/26.46  | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | SIMP: (286) implies:
% 172.19/26.46  | | | | | | | | | | | | | | |   (287)   ~ (all_52_13 = e1)
% 172.19/26.46  | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | REDUCE: (282), (285) imply:
% 172.19/26.46  | | | | | | | | | | | | | | |   (288)   ~ (e2 = e1)
% 172.19/26.46  | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 172.19/26.46  | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | Case 1:
% 172.19/26.46  | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | |   (289)  all_56_2 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (34), (39), (46), (47), (51), (53), (55),
% 172.19/26.46  | | | | | | | | | | | | | | | |            (116), (119), (289) are inconsistent by sub-proof
% 172.19/26.46  | | | | | | | | | | | | | | | |            #628.
% 172.19/26.46  | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | Case 2:
% 172.19/26.46  | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | |   (290)  all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 172.19/26.46  | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.46  | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | |   (291)  all_56_3 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | COMBINE_EQS: (71), (291) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | |   (292)  all_4_2 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | COMBINE_EQS: (79), (292) imply:
% 172.19/26.46  | | | | | | | | | | | | | | | | |   (293)  all_58_21 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 172.19/26.46  | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | |   (294)  all_58_22 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | REF_CLOSE: (86), (104), (294) are inconsistent by sub-proof
% 172.19/26.46  | | | | | | | | | | | | | | | | | |            #923.
% 172.19/26.46  | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.46  | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | |   (295)  all_58_20 = e3 | all_58_21 = e2
% 172.19/26.46  | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (7), (18), (19), (22), (24), (27), (32),
% 172.19/26.46  | | | | | | | | | | | | | | | | | |            (34), (39), (44), (46), (47), (55), (56), (61),
% 172.19/26.46  | | | | | | | | | | | | | | | | | |            (66), (67), (73), (75), (76), (79), (83), (91),
% 172.19/26.46  | | | | | | | | | | | | | | | | | |            (94), (102), (104), (105), (111), (125), (139),
% 172.19/26.46  | | | | | | | | | | | | | | | | | |            (144), (149), (293), (295) are inconsistent by
% 172.19/26.46  | | | | | | | | | | | | | | | | | |            sub-proof #232.
% 172.19/26.46  | | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.46  | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | |   (296)  all_56_5 = e1 | all_56_10 = e1
% 172.19/26.46  | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (86), (88), (287), (296) are inconsistent by
% 172.19/26.46  | | | | | | | | | | | | | | | | |            sub-proof #681.
% 172.19/26.46  | | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | Case 2:
% 172.19/26.46  | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | |   (297)  all_54_3 = e3 | all_54_3 = e2
% 172.19/26.46  | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | | REF_CLOSE: (9), (162), (282), (297) are inconsistent by
% 172.19/26.46  | | | | | | | | | | | | | | |            sub-proof #891.
% 172.19/26.46  | | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | | 
% 172.19/26.46  | | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | | 
% 172.19/26.46  | | | | | | | | End of split
% 172.19/26.46  | | | | | | | | 
% 172.19/26.46  | | | | | | | End of split
% 172.19/26.46  | | | | | | | 
% 172.19/26.46  | | | | | | End of split
% 172.19/26.46  | | | | | | 
% 172.19/26.46  | | | | | End of split
% 172.19/26.46  | | | | | 
% 172.19/26.46  | | | | End of split
% 172.19/26.46  | | | | 
% 172.19/26.46  | | | End of split
% 172.19/26.46  | | | 
% 172.19/26.46  | | Case 2:
% 172.19/26.46  | | | 
% 172.19/26.46  | | |   (298)  all_56_8 = e0 | all_56_11 = e0
% 172.19/26.46  | | | 
% 172.19/26.46  | | | REF_CLOSE: (3), (18), (24), (85), (298) are inconsistent by sub-proof
% 172.19/26.46  | | |            #912.
% 172.19/26.46  | | | 
% 172.19/26.46  | | End of split
% 172.19/26.46  | | 
% 172.19/26.46  | End of split
% 172.19/26.46  | 
% 172.19/26.46  End of proof
% 172.19/26.46  
% 172.19/26.46  Sub-proof #231 shows that the following formulas are inconsistent:
% 172.19/26.46  ----------------------------------------------------------------
% 172.19/26.46    (1)   ~ (all_14_2 = e1)
% 172.19/26.46    (2)  all_56_15 = all_14_2
% 172.19/26.46    (3)  all_56_11 = all_52_14
% 172.19/26.46    (4)  all_56_11 = e1 | all_56_15 = e1
% 172.19/26.46    (5)   ~ (all_52_14 = e1)
% 172.19/26.46  
% 172.19/26.46  Begin of proof
% 172.19/26.46  | 
% 172.19/26.46  | BETA: splitting (4) gives:
% 172.19/26.46  | 
% 172.19/26.46  | Case 1:
% 172.19/26.46  | | 
% 172.19/26.46  | |   (6)  all_56_11 = e1
% 172.19/26.46  | | 
% 172.19/26.46  | | REF_CLOSE: (3), (5), (6) are inconsistent by sub-proof #854.
% 172.19/26.46  | | 
% 172.19/26.46  | Case 2:
% 172.19/26.46  | | 
% 172.19/26.46  | |   (7)  all_56_15 = e1
% 172.19/26.46  | | 
% 172.19/26.46  | | REF_CLOSE: (1), (2), (7) are inconsistent by sub-proof #876.
% 172.19/26.46  | | 
% 172.19/26.46  | End of split
% 172.19/26.46  | 
% 172.19/26.46  End of proof
% 172.19/26.46  
% 172.19/26.46  Sub-proof #232 shows that the following formulas are inconsistent:
% 172.19/26.46  ----------------------------------------------------------------
% 172.19/26.46    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.19/26.46    (2)  op(e1, all_52_14) = all_58_11
% 172.19/26.46    (3)   ~ (all_10_2 = e0)
% 172.19/26.46    (4)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.19/26.46    (5)   ~ (all_52_4 = all_4_2)
% 172.19/26.46    (6)  all_56_8 = all_10_2
% 172.19/26.46    (7)  all_58_26 = all_10_2
% 172.19/26.46    (8)  all_58_25 = e0
% 172.19/26.46    (9)   ~ (all_52_4 = e0)
% 172.19/26.46    (10)  all_56_11 = all_52_14
% 172.19/26.46    (11)   ~ (all_4_1 = e0)
% 172.19/26.46    (12)  op(all_4_2, e2) = all_4_1
% 172.19/26.46    (13)  all_58_17 = all_52_1
% 172.19/26.46    (14)  all_58_22 = e0
% 172.19/26.46    (15)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.19/26.46    (16)   ~ (e2 = e1)
% 172.19/26.46    (17)  op(e1, e2) = e0
% 172.19/26.46    (18)   ~ (all_52_1 = all_4_2)
% 172.19/26.46    (19)  all_58_18 = all_52_2
% 172.19/26.46    (20)  all_58_16 = e0
% 172.19/26.46    (21)   ~ (all_52_1 = all_52_2)
% 172.19/26.46    (22)  all_56_7 = e0
% 172.19/26.46    (23)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.19/26.46    (24)  all_58_20 = all_52_4
% 172.19/26.46    (25)  all_58_21 = e1
% 172.19/26.46    (26)  all_56_6 = all_52_2
% 172.19/26.46    (27)  all_58_24 = all_52_8
% 172.19/26.46    (28)   ~ (all_52_1 = e0)
% 172.19/26.46    (29)  all_58_20 = e3 | all_58_21 = e2
% 172.19/26.46    (30)   ~ (all_52_4 = all_52_8)
% 172.19/26.46    (31)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.19/26.46            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.19/26.46    (32)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 172.19/26.46    (33)  all_58_21 = all_4_2
% 172.19/26.46    (34)   ~ (e2 = e0)
% 172.19/26.46    (35)  all_54_5 = all_4_2
% 172.19/26.46    (36)   ~ (all_52_2 = all_10_2)
% 172.19/26.46  
% 172.19/26.46  Begin of proof
% 172.19/26.46  | 
% 172.19/26.46  | BETA: splitting (29) gives:
% 172.19/26.46  | 
% 172.19/26.46  | Case 1:
% 172.19/26.46  | | 
% 172.19/26.46  | |   (37)  all_58_21 = e2
% 172.19/26.46  | | 
% 172.19/26.46  | | REF_CLOSE: (16), (25), (37) are inconsistent by sub-proof #897.
% 172.19/26.46  | | 
% 172.19/26.46  | Case 2:
% 172.19/26.46  | | 
% 172.19/26.46  | |   (38)  all_58_20 = e3
% 172.19/26.46  | | 
% 172.19/26.46  | | COMBINE_EQS: (24), (38) imply:
% 172.19/26.46  | |   (39)  all_52_4 = e3
% 172.19/26.46  | | 
% 172.19/26.46  | | REDUCE: (30), (39) imply:
% 172.19/26.46  | |   (40)   ~ (all_52_8 = e3)
% 172.19/26.46  | | 
% 172.19/26.46  | | SIMP: (40) implies:
% 172.19/26.46  | |   (41)   ~ (all_52_8 = e3)
% 172.19/26.46  | | 
% 172.19/26.46  | | REDUCE: (9), (39) imply:
% 172.19/26.46  | |   (42)   ~ (e3 = e0)
% 172.19/26.46  | | 
% 172.19/26.46  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 172.19/26.46  | |            (13), (14), (15), (17), (18), (19), (20), (21), (22), (23), (24),
% 172.19/26.46  | |            (26), (27), (28), (30), (31), (32), (33), (34), (35), (36), (41),
% 172.19/26.46  | |            (42) are inconsistent by sub-proof #235.
% 172.19/26.46  | | 
% 172.19/26.46  | End of split
% 172.19/26.46  | 
% 172.19/26.46  End of proof
% 172.19/26.46  
% 172.19/26.46  Sub-proof #233 shows that the following formulas are inconsistent:
% 172.19/26.46  ----------------------------------------------------------------
% 172.19/26.46    (1)  all_58_26 = e2
% 172.19/26.46    (2)  all_58_26 = e1
% 172.19/26.46    (3)   ~ (e2 = e1)
% 172.19/26.46  
% 172.19/26.46  Begin of proof
% 172.19/26.46  | 
% 172.19/26.46  | COMBINE_EQS: (1), (2) imply:
% 172.19/26.46  |   (4)  e2 = e1
% 172.19/26.46  | 
% 172.19/26.46  | SIMP: (4) implies:
% 172.19/26.46  |   (5)  e2 = e1
% 172.19/26.46  | 
% 172.19/26.46  | REDUCE: (3), (5) imply:
% 172.19/26.46  |   (6)  $false
% 172.19/26.46  | 
% 172.19/26.46  | CLOSE: (6) is inconsistent.
% 172.19/26.46  | 
% 172.19/26.46  End of proof
% 172.19/26.46  
% 172.19/26.46  Sub-proof #234 shows that the following formulas are inconsistent:
% 172.19/26.46  ----------------------------------------------------------------
% 172.19/26.46    (1)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.19/26.46    (2)   ~ (all_52_2 = all_6_1)
% 172.19/26.46    (3)   ~ (all_52_1 = all_6_1)
% 172.19/26.46    (4)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 172.19/26.46    (5)  all_58_17 = all_52_1
% 172.19/26.46    (6)  all_58_18 = all_52_2
% 172.19/26.46    (7)  all_58_16 = e0
% 172.19/26.46    (8)  all_56_2 = all_52_1
% 172.19/26.46    (9)   ~ (e3 = e0)
% 172.19/26.46    (10)   ~ (all_52_1 = all_52_2)
% 172.19/26.46    (11)  all_54_12 = all_6_1
% 172.19/26.46    (12)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 172.19/26.46    (13)   ~ (all_52_1 = e2)
% 172.19/26.46    (14)  all_54_4 = all_52_1
% 172.19/26.46    (15)   ~ (all_6_1 = e2)
% 172.19/26.46    (16)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.19/26.46  
% 172.19/26.46  Begin of proof
% 172.19/26.46  | 
% 172.19/26.46  | BETA: splitting (1) gives:
% 172.19/26.46  | 
% 172.19/26.46  | Case 1:
% 172.19/26.46  | | 
% 172.19/26.46  | |   (17)  all_58_18 = e1
% 172.19/26.46  | | 
% 172.19/26.46  | | COMBINE_EQS: (6), (17) imply:
% 172.19/26.46  | |   (18)  all_52_2 = e1
% 172.19/26.46  | | 
% 172.19/26.46  | | SIMP: (18) implies:
% 172.19/26.46  | |   (19)  all_52_2 = e1
% 172.19/26.46  | | 
% 172.19/26.46  | | REDUCE: (10), (19) imply:
% 172.19/26.46  | |   (20)   ~ (all_52_1 = e1)
% 172.19/26.46  | | 
% 172.19/26.46  | | REDUCE: (2), (19) imply:
% 172.19/26.46  | |   (21)   ~ (all_6_1 = e1)
% 172.19/26.46  | | 
% 172.19/26.46  | | SIMP: (21) implies:
% 172.19/26.46  | |   (22)   ~ (all_6_1 = e1)
% 172.19/26.46  | | 
% 172.19/26.46  | | REF_CLOSE: (3), (4), (8), (11), (12), (13), (14), (15), (16), (20), (22) are
% 172.19/26.46  | |            inconsistent by sub-proof #638.
% 172.19/26.46  | | 
% 172.19/26.46  | Case 2:
% 172.19/26.46  | | 
% 172.19/26.46  | |   (23)  all_58_16 = e3 | all_58_17 = e2
% 172.19/26.46  | | 
% 172.19/26.46  | | REF_CLOSE: (5), (7), (9), (13), (23) are inconsistent by sub-proof #608.
% 172.19/26.46  | | 
% 172.19/26.46  | End of split
% 172.19/26.46  | 
% 172.19/26.46  End of proof
% 172.19/26.46  
% 172.19/26.46  Sub-proof #235 shows that the following formulas are inconsistent:
% 172.19/26.46  ----------------------------------------------------------------
% 172.19/26.46    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.19/26.46    (2)  op(e1, all_52_14) = all_58_11
% 172.19/26.46    (3)   ~ (all_10_2 = e0)
% 172.19/26.46    (4)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.19/26.46    (5)   ~ (all_52_4 = all_4_2)
% 172.19/26.46    (6)  all_56_8 = all_10_2
% 172.19/26.46    (7)  all_58_26 = all_10_2
% 172.19/26.46    (8)  all_58_25 = e0
% 172.19/26.46    (9)   ~ (all_52_4 = e0)
% 172.19/26.46    (10)  all_56_11 = all_52_14
% 172.19/26.46    (11)   ~ (all_4_1 = e0)
% 172.19/26.46    (12)  op(all_4_2, e2) = all_4_1
% 172.19/26.46    (13)  all_58_17 = all_52_1
% 172.19/26.46    (14)  all_58_22 = e0
% 172.19/26.46    (15)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.19/26.46    (16)  op(e1, e2) = e0
% 172.19/26.46    (17)   ~ (all_52_1 = all_4_2)
% 172.19/26.46    (18)  all_58_18 = all_52_2
% 172.19/26.46    (19)  all_58_16 = e0
% 172.19/26.46    (20)   ~ (all_52_8 = e3)
% 172.19/26.46    (21)   ~ (e3 = e0)
% 172.19/26.46    (22)   ~ (all_52_1 = all_52_2)
% 172.19/26.46    (23)  all_56_7 = e0
% 172.19/26.46    (24)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.19/26.46    (25)  all_58_20 = all_52_4
% 172.19/26.46    (26)  all_56_6 = all_52_2
% 172.19/26.46    (27)  all_58_24 = all_52_8
% 172.19/26.46    (28)   ~ (all_52_1 = e0)
% 172.19/26.46    (29)   ~ (all_52_4 = all_52_8)
% 172.19/26.46    (30)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.19/26.46            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.19/26.46    (31)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 172.19/26.46    (32)  all_58_21 = all_4_2
% 172.19/26.46    (33)   ~ (e2 = e0)
% 172.19/26.46    (34)  all_54_5 = all_4_2
% 172.19/26.46    (35)   ~ (all_52_2 = all_10_2)
% 172.19/26.46  
% 172.19/26.46  Begin of proof
% 172.19/26.46  | 
% 172.19/26.46  | BETA: splitting (15) gives:
% 172.19/26.46  | 
% 172.19/26.46  | Case 1:
% 172.19/26.46  | | 
% 172.19/26.46  | |   (36)  all_58_26 = e1
% 172.19/26.46  | | 
% 172.19/26.46  | | COMBINE_EQS: (7), (36) imply:
% 172.19/26.46  | |   (37)  all_10_2 = e1
% 172.19/26.46  | | 
% 172.19/26.46  | | SIMP: (37) implies:
% 172.19/26.46  | |   (38)  all_10_2 = e1
% 172.19/26.46  | | 
% 172.19/26.46  | | REDUCE: (35), (38) imply:
% 172.19/26.46  | |   (39)   ~ (all_52_2 = e1)
% 172.19/26.46  | | 
% 172.19/26.46  | | REDUCE: (3), (38) imply:
% 172.19/26.46  | |   (40)   ~ (e1 = e0)
% 172.19/26.46  | | 
% 172.19/26.46  | | BETA: splitting (4) gives:
% 172.19/26.46  | | 
% 172.19/26.46  | | Case 1:
% 172.19/26.46  | | | 
% 172.19/26.46  | | |   (41)  all_58_18 = e1
% 172.19/26.46  | | | 
% 172.19/26.46  | | | REF_CLOSE: (18), (39), (41) are inconsistent by sub-proof #924.
% 172.19/26.46  | | | 
% 172.19/26.46  | | Case 2:
% 172.19/26.46  | | | 
% 172.19/26.46  | | |   (42)  all_58_16 = e3 | all_58_17 = e2
% 172.19/26.46  | | | 
% 172.19/26.46  | | | REF_CLOSE: (1), (2), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 172.19/26.46  | | |            (14), (15), (16), (17), (19), (21), (22), (23), (24), (25),
% 172.19/26.46  | | |            (26), (27), (28), (29), (30), (31), (32), (34), (40), (42) are
% 172.19/26.46  | | |            inconsistent by sub-proof #632.
% 172.19/26.46  | | | 
% 172.19/26.46  | | End of split
% 172.19/26.46  | | 
% 172.19/26.46  | Case 2:
% 172.19/26.46  | | 
% 172.19/26.46  | |   (43)  all_58_24 = e3 | all_58_25 = e2
% 172.19/26.46  | | 
% 172.19/26.46  | | REF_CLOSE: (8), (20), (27), (33), (43) are inconsistent by sub-proof #849.
% 172.19/26.46  | | 
% 172.19/26.46  | End of split
% 172.19/26.46  | 
% 172.19/26.46  End of proof
% 172.19/26.46  
% 172.19/26.46  Sub-proof #236 shows that the following formulas are inconsistent:
% 172.19/26.46  ----------------------------------------------------------------
% 172.19/26.46    (1)  all_56_1 = all_52_4
% 172.19/26.46    (2)  all_56_12 = all_52_3
% 172.19/26.46    (3)  op(e3, all_52_12) = all_58_3
% 172.19/26.46    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 172.19/26.46    (5)  op(e1, all_52_14) = all_58_11
% 172.19/26.46    (6)   ~ (all_10_2 = e0)
% 172.19/26.46    (7)   ~ (e3 = e1)
% 172.19/26.46    (8)  all_58_23 = all_52_7
% 172.19/26.46    (9)   ~ (all_52_2 = all_6_2)
% 172.19/26.46    (10)   ~ (all_52_4 = all_4_2)
% 172.19/26.46    (11)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.19/26.46    (12)  op(all_14_1, e0) = all_14_0
% 172.19/26.46    (13)  op(e0, e0) = all_14_1
% 172.19/26.46    (14)  all_56_5 = all_52_9
% 172.19/26.46    (15)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 172.19/26.46    (16)   ~ (all_52_6 = all_4_2)
% 172.19/26.46    (17)  op(e3, all_6_2) = all_58_0
% 172.19/26.46    (18)  op(all_10_2, e1) = all_10_1
% 172.19/26.46    (19)  op(e1, all_10_2) = all_58_10
% 172.19/26.46    (20)   ~ (all_52_9 = all_4_2)
% 172.19/26.46    (21)  op(e1, e1) = all_10_2
% 172.19/26.46    (22)  all_56_14 = all_52_11
% 172.19/26.46    (23)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 172.19/26.46    (24)  all_56_8 = all_10_2
% 172.19/26.46    (25)  all_58_26 = all_10_2
% 172.19/26.46    (26)   ~ (all_52_3 = all_6_2)
% 172.19/26.46    (27)   ~ (all_52_1 = all_6_2)
% 172.19/26.46    (28)  all_56_11 = all_52_14
% 172.19/26.46    (29)   ~ (all_52_6 = all_52_7)
% 172.19/26.46    (30)   ~ (all_4_1 = e0)
% 172.19/26.46    (31)  all_56_0 = all_6_2
% 172.19/26.46    (32)   ~ (all_52_9 = all_10_2)
% 172.19/26.46    (33)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.19/26.46    (34)  all_58_27 = all_52_11
% 172.19/26.46    (35)  op(e3, e2) = all_52_4
% 172.19/26.46    (36)  op(all_4_2, e2) = all_4_1
% 172.19/26.46    (37)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 172.19/26.46    (38)  all_58_17 = all_52_1
% 172.19/26.46    (39)  op(e2, all_4_2) = all_58_5
% 172.19/26.46    (40)  all_58_19 = all_52_3
% 172.19/26.46    (41)  all_56_9 = all_52_12
% 172.19/26.46    (42)   ~ (all_52_2 = all_52_6)
% 172.19/26.46    (43)  all_56_2 = e0
% 172.19/26.46    (44)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 172.19/26.46    (45)  op(e2, e2) = all_4_2
% 172.19/26.46    (46)   ~ (e3 = e2)
% 172.19/26.46    (47)   ~ (all_52_4 = all_52_7)
% 172.19/26.46    (48)   ~ (e2 = e1)
% 172.19/26.46    (49)   ~ (all_52_6 = all_10_2)
% 172.19/26.46    (50)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.19/26.46    (51)   ~ (all_52_1 = all_4_2)
% 172.19/26.46    (52)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.19/26.46    (53)  all_58_18 = all_52_2
% 172.19/26.46    (54)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.19/26.46    (55)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.19/26.46    (56)  all_58_16 = all_6_2
% 172.19/26.46    (57)  all_56_13 = all_52_7
% 172.19/26.46    (58)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 172.19/26.46    (59)   ~ (all_52_8 = all_52_9)
% 172.19/26.46    (60)   ~ (all_52_4 = all_6_2)
% 172.19/26.47    (61)  all_56_2 = all_52_1
% 172.19/26.47    (62)   ~ (all_14_0 = e1)
% 172.19/26.47    (63)   ~ (e3 = e0)
% 172.19/26.47    (64)   ~ (all_52_1 = all_52_2)
% 172.19/26.47    (65)  op(e0, e0) = all_58_15
% 172.19/26.47    (66)   ~ (all_52_6 = all_52_14)
% 172.19/26.47    (67)   ~ (all_52_8 = all_10_2)
% 172.19/26.47    (68)  all_56_4 = all_52_8
% 172.19/26.47    (69)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.19/26.47    (70)  op(e0, e0) = e0
% 172.19/26.47    (71)   ~ (all_52_1 = all_52_13)
% 172.19/26.47    (72)  all_58_20 = all_52_4
% 172.19/26.47    (73)  all_54_10 = all_10_2
% 172.19/26.47    (74)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.19/26.47    (75)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 172.19/26.47    (76)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.19/26.47    (77)   ~ (all_52_8 = all_52_11)
% 172.19/26.47    (78)   ~ (all_52_8 = all_6_2)
% 172.19/26.47    (79)  all_56_6 = all_52_2
% 172.19/26.47    (80)   ~ (all_52_1 = all_52_9)
% 172.19/26.47    (81)  op(e3, e3) = all_6_2
% 172.19/26.47    (82)   ~ (all_52_7 = e0)
% 172.19/26.47    (83)  all_58_24 = all_52_8
% 172.19/26.47    (84)   ~ (all_52_9 = all_52_11)
% 172.19/26.47    (85)  all_58_22 = all_52_6
% 172.19/26.47    (86)  all_56_3 = all_4_2
% 172.19/26.47    (87)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.19/26.47    (88)  all_54_0 = all_6_2
% 172.19/26.47    (89)   ~ (all_52_14 = all_10_2)
% 172.19/26.47    (90)   ~ (all_52_11 = e0)
% 172.19/26.47    (91)   ~ (all_52_2 = all_52_3)
% 172.19/26.47    (92)  all_58_25 = all_52_9
% 172.19/26.47    (93)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.19/26.47            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.19/26.47    (94)   ~ (all_52_2 = all_52_14)
% 172.19/26.47    (95)  all_58_21 = all_4_2
% 172.19/26.47    (96)  all_56_10 = all_52_13
% 172.19/26.47    (97)   ~ (e2 = e0)
% 172.19/26.47    (98)   ~ (all_52_1 = all_52_3)
% 172.19/26.47    (99)   ~ (all_52_14 = e0)
% 172.19/26.47    (100)  all_56_7 = all_52_6
% 172.19/26.47    (101)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.19/26.47             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.19/26.47             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.19/26.47             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.19/26.47             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.19/26.47             (all_58_15 = e0))
% 172.19/26.47    (102)  all_54_5 = all_4_2
% 172.19/26.47    (103)   ~ (all_52_2 = all_10_2)
% 172.19/26.47    (104)  op(e1, e2) = all_52_6
% 172.19/26.47    (105)  all_56_0 = e3 | all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3
% 172.19/26.47    (106)  all_54_11 = all_52_14
% 172.19/26.47    (107)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.19/26.47  
% 172.19/26.47  Begin of proof
% 172.19/26.47  | 
% 172.19/26.47  | COMBINE_EQS: (43), (61) imply:
% 172.19/26.47  |   (108)  all_52_1 = e0
% 172.19/26.47  | 
% 172.19/26.47  | REDUCE: (98), (108) imply:
% 172.19/26.47  |   (109)   ~ (all_52_3 = e0)
% 172.19/26.47  | 
% 172.19/26.47  | SIMP: (109) implies:
% 172.19/26.47  |   (110)   ~ (all_52_3 = e0)
% 172.19/26.47  | 
% 172.19/26.47  | REDUCE: (71), (108) imply:
% 172.19/26.47  |   (111)   ~ (all_52_13 = e0)
% 172.19/26.47  | 
% 172.19/26.47  | SIMP: (111) implies:
% 172.19/26.47  |   (112)   ~ (all_52_13 = e0)
% 172.19/26.47  | 
% 172.19/26.47  | REDUCE: (27), (108) imply:
% 172.19/26.47  |   (113)   ~ (all_6_2 = e0)
% 172.19/26.47  | 
% 172.19/26.47  | SIMP: (113) implies:
% 172.19/26.47  |   (114)   ~ (all_6_2 = e0)
% 172.19/26.47  | 
% 172.19/26.47  | REDUCE: (51), (108) imply:
% 172.19/26.47  |   (115)   ~ (all_4_2 = e0)
% 172.19/26.47  | 
% 172.19/26.47  | SIMP: (115) implies:
% 172.19/26.47  |   (116)   ~ (all_4_2 = e0)
% 172.19/26.47  | 
% 172.19/26.47  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 172.19/26.47  |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 172.19/26.47  |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 172.19/26.47  |            (35), (36), (37), (38), (39), (40), (41), (42), (44), (45), (46),
% 172.19/26.47  |            (47), (48), (49), (50), (51), (52), (53), (54), (55), (56), (57),
% 172.19/26.47  |            (58), (59), (60), (61), (62), (63), (64), (65), (66), (67), (68),
% 172.19/26.47  |            (69), (70), (72), (73), (74), (75), (76), (77), (78), (79), (80),
% 172.19/26.47  |            (81), (82), (83), (84), (85), (86), (87), (88), (89), (90), (91),
% 172.19/26.47  |            (92), (93), (94), (95), (96), (97), (98), (99), (100), (101),
% 172.19/26.47  |            (102), (103), (104), (105), (106), (107), (110), (112), (114),
% 172.19/26.47  |            (116) are inconsistent by sub-proof #911.
% 172.19/26.47  | 
% 172.19/26.47  End of proof
% 172.19/26.47  
% 172.19/26.47  Sub-proof #237 shows that the following formulas are inconsistent:
% 172.19/26.47  ----------------------------------------------------------------
% 172.19/26.47    (1)   ~ (all_52_12 = all_14_2)
% 172.19/26.47    (2)  op(e0, e0) = all_14_2
% 172.19/26.47    (3)  all_54_8 = all_52_2
% 172.19/26.47    (4)  all_56_1 = all_52_4
% 172.19/26.47    (5)  all_56_12 = all_52_3
% 172.19/26.47    (6)  all_56_15 = e0 | ((all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 172.19/26.47           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0))
% 172.19/26.47    (7)  op(e1, e3) = all_52_2
% 172.19/26.47    (8)  op(e3, all_52_12) = all_58_3
% 172.19/26.47    (9)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 172.19/26.47    (10)   ~ (all_52_8 = all_52_12)
% 172.19/26.47    (11)  all_26_1 = all_6_1
% 172.19/26.47    (12)   ~ (e3 = e1)
% 172.19/26.47    (13)  all_58_23 = all_52_7
% 172.19/26.47    (14)   ~ (all_52_2 = all_6_2)
% 172.19/26.47    (15)   ~ (all_52_3 = all_14_2)
% 172.19/26.47    (16)   ~ (all_52_4 = all_4_2)
% 172.19/26.47    (17)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.19/26.47    (18)  op(e0, e1) = all_10_1
% 172.19/26.47    (19)  all_24_2 = all_4_2
% 172.19/26.47    (20)  all_54_3 = all_52_12
% 172.19/26.47    (21)  all_56_5 = all_52_9
% 172.19/26.47    (22)   ~ (all_52_3 = all_52_11)
% 172.19/26.47    (23)  op(all_6_2, e3) = all_6_1
% 172.19/26.47    (24)   ~ (all_52_12 = all_6_2)
% 172.19/26.47    (25)  op(e2, e0) = all_52_13
% 172.19/26.47    (26)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 172.19/26.47    (27)   ~ (all_52_6 = all_4_2)
% 172.19/26.47    (28)  op(e3, all_6_2) = all_58_0
% 172.19/26.47    (29)  op(e1, e0) = all_52_14
% 172.19/26.47    (30)  all_56_15 = all_14_2
% 172.19/26.47    (31)   ~ (all_52_11 = all_14_2)
% 172.19/26.47    (32)  op(e0, e2) = all_52_7
% 172.19/26.47    (33)  op(e3, all_52_4) = all_58_1
% 172.19/26.47    (34)  all_54_1 = all_52_4
% 172.19/26.47    (35)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 172.19/26.47    (36)   ~ (all_52_9 = all_4_2)
% 172.19/26.47    (37)   ~ (all_52_3 = all_52_7)
% 172.19/26.47    (38)  all_54_6 = all_52_9
% 172.19/26.47    (39)  all_56_14 = all_52_11
% 172.19/26.47    (40)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 172.19/26.47    (41)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 172.19/26.47    (42)   ~ (all_52_13 = all_4_2)
% 172.19/26.47    (43)  op(e1, e0) = all_58_10
% 172.19/26.47    (44)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.19/26.47    (45)  op(e0, all_52_3) = all_58_12
% 172.19/26.47    (46)  all_48_2 = all_14_2
% 172.19/26.47    (47)  op(e2, all_52_1) = all_58_4
% 172.19/26.47    (48)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.19/26.47    (49)  all_26_0 = all_6_0
% 172.19/26.47    (50)   ~ (all_52_9 = e0)
% 172.19/26.47    (51)   ~ (all_52_4 = all_52_6)
% 172.19/26.47    (52)  all_58_31 = all_14_2
% 172.19/26.47    (53)   ~ (all_52_9 = all_52_13)
% 172.19/26.47    (54)   ~ (all_52_3 = all_6_2)
% 172.19/26.47    (55)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.19/26.47    (56)  op(all_6_1, all_6_2) = all_6_0
% 172.19/26.47    (57)   ~ (all_52_1 = all_6_2)
% 172.19/26.47    (58)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 172.19/26.47    (59)  all_54_2 = all_52_8
% 172.19/26.47    (60)  all_56_11 = all_52_14
% 172.19/26.47    (61)   ~ (all_14_0 = e1) |  ~ (all_14_1 = e2) |  ~ (all_14_2 = e3)
% 172.19/26.47    (62)  op(e2, e1) = all_52_9
% 172.19/26.47    (63)   ~ (all_52_6 = all_52_7)
% 172.19/26.47    (64)   ~ (all_4_1 = e0)
% 172.19/26.47    (65)  all_56_2 = e2 | all_56_3 = e2 | all_56_5 = e2 | all_56_10 = e2
% 172.19/26.47    (66)  all_56_0 = all_6_2
% 172.19/26.47    (67)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.19/26.47    (68)  all_58_30 = all_52_14
% 172.19/26.47    (69)  all_58_27 = all_52_11
% 172.19/26.47    (70)  all_24_1 = all_4_1
% 172.19/26.47    (71)  all_54_14 = all_52_11
% 172.19/26.47    (72)  op(e3, e2) = all_52_4
% 172.19/26.47    (73)  op(all_4_2, e2) = all_4_1
% 172.19/26.47    (74)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 172.19/26.47    (75)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.19/26.47    (76)  all_58_17 = all_52_1
% 172.19/26.47    (77)  all_42_2 = all_6_2
% 172.19/26.47    (78)   ~ (all_42_0 = e1) |  ~ (all_42_1 = e2) |  ~ (all_42_2 = e0)
% 172.19/26.47    (79)  all_58_19 = all_52_3
% 172.19/26.47    (80)  all_56_9 = all_52_12
% 172.19/26.47    (81)   ~ (all_40_0 = e3) |  ~ (all_40_1 = e1) |  ~ (all_40_2 = e0)
% 172.19/26.47    (82)   ~ (all_52_2 = all_52_6)
% 172.19/26.47    (83)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 172.19/26.47    (84)   ~ (e3 = e2)
% 172.19/26.47    (85)   ~ (all_52_4 = all_52_7)
% 172.19/26.47    (86)   ~ (e2 = e1)
% 172.19/26.47    (87)  all_58_26 = e0
% 172.19/26.47    (88)  all_56_8 = e0
% 172.19/26.47    (89)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 172.19/26.47    (90)  op(e0, all_52_11) = all_58_14
% 172.19/26.47    (91)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.19/26.47    (92)   ~ (all_52_2 = e0)
% 172.19/26.47    (93)  op(e0, e1) = all_52_11
% 172.19/26.47    (94)   ~ (all_52_7 = all_14_2)
% 172.19/26.47    (95)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.19/26.47    (96)  all_26_2 = all_6_2
% 172.19/26.47    (97)  all_24_0 = all_4_0
% 172.19/26.47    (98)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 172.19/26.47    (99)   ~ (all_52_13 = all_14_2)
% 172.19/26.47    (100)   ~ (all_52_1 = all_4_2)
% 172.19/26.47    (101)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.19/26.47    (102)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.19/26.47    (103)  all_54_9 = all_52_6
% 172.19/26.47    (104)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.19/26.47    (105)   ~ (all_52_13 = all_52_14)
% 172.19/26.47    (106)  op(e2, e3) = all_52_1
% 172.19/26.47    (107)   ~ (all_48_0 = e3) |  ~ (all_48_1 = e2) |  ~ (all_48_2 = e1)
% 172.19/26.47    (108)  all_58_18 = all_52_2
% 172.19/26.47    (109)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.19/26.47    (110)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.19/26.47    (111)  all_58_16 = all_6_2
% 172.19/26.47    (112)  all_56_13 = all_52_7
% 172.19/26.47    (113)  op(e0, e3) = all_52_3
% 172.19/26.47    (114)  op(e0, all_52_7) = all_58_13
% 172.19/26.47    (115)   ~ (all_52_8 = all_52_9)
% 172.19/26.47    (116)   ~ (all_52_4 = all_6_2)
% 172.19/26.47    (117)  op(all_4_1, all_4_2) = all_4_0
% 172.19/26.47    (118)  all_40_2 = all_4_2
% 172.19/26.47    (119)  all_56_2 = all_52_1
% 172.19/26.47    (120)   ~ (e3 = e0)
% 172.19/26.47    (121)  op(e3, e0) = all_52_12
% 172.19/26.47    (122)  all_58_29 = all_52_13
% 172.19/26.47    (123)   ~ (all_52_1 = all_52_2)
% 172.19/26.47    (124)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 172.19/26.47    (125)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.19/26.47    (126)  op(all_10_1, e0) = all_10_0
% 172.19/26.47    (127)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 172.19/26.47    (128)   ~ (all_52_6 = all_52_14)
% 172.19/26.47    (129)   ~ (all_52_7 = all_4_2)
% 172.19/26.47    (130)  all_56_4 = all_52_8
% 172.19/26.47    (131)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.19/26.47    (132)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.19/26.47    (133)  op(e1, all_52_2) = all_58_8
% 172.19/26.47    (134)  op(all_14_1, all_14_2) = all_14_0
% 172.19/26.47    (135)   ~ (all_52_1 = all_52_13)
% 172.19/26.47    (136)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.19/26.47    (137)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 172.19/26.47    (138)  all_58_20 = all_52_4
% 172.19/26.47    (139)  all_54_13 = all_52_7
% 172.19/26.47    (140)  all_54_15 = all_14_2
% 172.19/26.47    (141)   ~ (all_52_7 = all_52_11)
% 172.19/26.47    (142)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.19/26.47    (143)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 172.19/26.47    (144)  all_12_1 = all_6_1
% 172.19/26.47    (145)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.19/26.47    (146)   ~ (all_52_8 = all_52_11)
% 172.19/26.47    (147)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 172.19/26.47    (148)   ~ (all_52_8 = all_6_2)
% 172.19/26.47    (149)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 172.19/26.47    (150)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 172.19/26.47    (151)  all_56_6 = all_52_2
% 172.19/26.47    (152)   ~ (all_52_1 = all_52_9)
% 172.19/26.47    (153)  all_58_24 = all_52_8
% 172.19/26.47    (154)   ~ (all_52_12 = all_52_14)
% 172.19/26.47    (155)   ~ (all_52_9 = all_52_11)
% 172.19/26.47    (156)  all_58_22 = all_52_6
% 172.19/26.47    (157)  op(all_14_2, e0) = all_14_1
% 172.19/26.47    (158)   ~ (all_52_4 = all_52_12)
% 172.19/26.47    (159)  all_56_3 = all_4_2
% 172.19/26.47    (160)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.19/26.47    (161)  all_54_0 = all_6_2
% 172.19/26.47    (162)  all_40_0 = all_4_0
% 172.19/26.47    (163)   ~ (all_12_0 = e2) |  ~ (all_12_1 = e0) |  ~ (all_12_2 = e1)
% 172.19/26.47    (164)   ~ (all_52_11 = e0)
% 172.19/26.47    (165)   ~ (all_52_2 = all_52_3)
% 172.19/26.47    (166)   ~ (all_52_4 = all_52_8)
% 172.19/26.47    (167)   ~ (all_52_14 = all_14_2)
% 172.19/26.47    (168)  all_58_25 = all_52_9
% 172.19/26.47    (169)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 172.19/26.47    (170)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.19/26.47             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.19/26.47    (171)   ~ (all_52_6 = e0)
% 172.19/26.47    (172)  all_54_12 = all_52_3
% 172.19/26.47    (173)   ~ (all_52_2 = all_52_14)
% 172.19/26.47    (174)  op(e0, all_14_2) = all_58_15
% 172.19/26.47    (175)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3) |  ~ (all_24_2 = e0)
% 172.19/26.47    (176)  all_58_21 = all_4_2
% 172.19/26.47    (177)  all_40_1 = all_4_1
% 172.19/26.47    (178)  all_56_10 = all_52_13
% 172.19/26.47    (179)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.19/26.47    (180)   ~ (e2 = e0)
% 172.19/26.47    (181)   ~ (all_52_1 = all_52_3)
% 172.19/26.47    (182)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 172.19/26.47    (183)   ~ (all_52_14 = e0)
% 172.19/26.47    (184)  all_58_28 = all_52_12
% 172.19/26.47    (185)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.19/26.47    (186)   ~ (e1 = e0)
% 172.19/26.47    (187)  all_54_4 = all_52_1
% 172.19/26.47    (188)  all_56_7 = all_52_6
% 172.19/26.47    (189)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.19/26.47             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.19/26.47             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.19/26.47             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.19/26.47             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.19/26.47             (all_58_15 = e0))
% 172.19/26.47    (190)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 172.19/26.47    (191)   ~ (all_52_8 = e0)
% 172.19/26.47    (192)   ~ (all_26_0 = e1) |  ~ (all_26_1 = e0) |  ~ (all_26_2 = e2)
% 172.19/26.47    (193)  all_54_5 = all_4_2
% 172.19/26.47    (194)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.19/26.47    (195)  op(e2, all_52_13) = all_58_7
% 172.19/26.47    (196)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 172.19/26.47    (197)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.19/26.47           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.19/26.47           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.19/26.47           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.19/26.47           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.19/26.47           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.19/26.47           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.19/26.47           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.19/26.47           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.19/26.47           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.19/26.47             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.19/26.47             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.19/26.47             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.19/26.47             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.19/26.47             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.19/26.47             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.19/26.47             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.19/26.47             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.19/26.47             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.19/26.47             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.19/26.47             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.19/26.47             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.19/26.47             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.19/26.47             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.19/26.47             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.19/26.47             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.19/26.47           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.19/26.47           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.19/26.47           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.19/26.47             all_58_30 = e0 & e1 = e0)
% 172.19/26.47    (198)  all_54_7 = all_52_13
% 172.19/26.47    (199)  op(e1, e2) = all_52_6
% 172.19/26.47    (200)  all_54_11 = all_52_14
% 172.19/26.47    (201)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.19/26.47    (202)   ~ (all_52_12 = all_52_13)
% 172.19/26.47  
% 172.19/26.47  Begin of proof
% 172.19/26.47  | 
% 172.19/26.47  | GROUND_INST: instantiating (170) with all_52_11, all_10_1, e1, e0, simplifying
% 172.19/26.47  |              with (18), (93) gives:
% 172.19/26.47  |   (203)  all_52_11 = all_10_1
% 172.19/26.47  | 
% 172.19/26.47  | GROUND_INST: instantiating (170) with all_52_14, all_58_10, e0, e1,
% 172.19/26.47  |              simplifying with (29), (43) gives:
% 172.19/26.47  |   (204)  all_58_10 = all_52_14
% 172.19/26.47  | 
% 172.19/26.47  | COMBINE_EQS: (71), (203) imply:
% 172.19/26.47  |   (205)  all_54_14 = all_10_1
% 172.19/26.47  | 
% 172.19/26.47  | COMBINE_EQS: (39), (203) imply:
% 172.19/26.47  |   (206)  all_56_14 = all_10_1
% 172.19/26.47  | 
% 172.19/26.47  | COMBINE_EQS: (69), (203) imply:
% 172.19/26.47  |   (207)  all_58_27 = all_10_1
% 172.19/26.47  | 
% 172.19/26.47  | REDUCE: (22), (203) imply:
% 172.19/26.47  |   (208)   ~ (all_52_3 = all_10_1)
% 172.19/26.47  | 
% 172.19/26.47  | REDUCE: (141), (203) imply:
% 172.19/26.47  |   (209)   ~ (all_52_7 = all_10_1)
% 172.19/26.47  | 
% 172.19/26.47  | REDUCE: (146), (203) imply:
% 172.19/26.47  |   (210)   ~ (all_52_8 = all_10_1)
% 172.19/26.47  | 
% 172.19/26.47  | REDUCE: (155), (203) imply:
% 172.19/26.47  |   (211)   ~ (all_52_9 = all_10_1)
% 172.19/26.47  | 
% 172.19/26.47  | REDUCE: (31), (203) imply:
% 172.19/26.47  |   (212)   ~ (all_14_2 = all_10_1)
% 172.19/26.47  | 
% 172.19/26.47  | SIMP: (212) implies:
% 172.19/26.47  |   (213)   ~ (all_14_2 = all_10_1)
% 172.19/26.47  | 
% 172.19/26.47  | REDUCE: (164), (203) imply:
% 172.19/26.47  |   (214)   ~ (all_10_1 = e0)
% 172.19/26.47  | 
% 172.19/26.47  | REDUCE: (90), (203) imply:
% 172.19/26.47  |   (215)  op(e0, all_10_1) = all_58_14
% 172.19/26.47  | 
% 172.19/26.47  | BETA: splitting (163) gives:
% 172.19/26.47  | 
% 172.19/26.47  | Case 1:
% 172.19/26.47  | | 
% 172.19/26.47  | |   (216)   ~ (all_12_1 = e0)
% 172.19/26.47  | | 
% 172.19/26.47  | | REDUCE: (144), (216) imply:
% 172.19/26.47  | |   (217)   ~ (all_6_1 = e0)
% 172.19/26.47  | | 
% 172.19/26.47  | | BETA: splitting (61) gives:
% 172.19/26.47  | | 
% 172.19/26.47  | | Case 1:
% 172.19/26.47  | | | 
% 172.19/26.47  | | |   (218)   ~ (all_14_0 = e1)
% 172.19/26.47  | | | 
% 172.19/26.47  | | | BETA: splitting (175) gives:
% 172.19/26.47  | | | 
% 172.19/26.47  | | | Case 1:
% 172.19/26.47  | | | | 
% 172.19/26.47  | | | |   (219)   ~ (all_24_2 = e0)
% 172.19/26.47  | | | | 
% 172.19/26.47  | | | | REDUCE: (19), (219) imply:
% 172.19/26.47  | | | |   (220)   ~ (all_4_2 = e0)
% 172.19/26.47  | | | | 
% 172.19/26.47  | | | | BETA: splitting (78) gives:
% 172.19/26.47  | | | | 
% 172.19/26.47  | | | | Case 1:
% 172.19/26.47  | | | | | 
% 172.19/26.47  | | | | |   (221)   ~ (all_42_2 = e0)
% 172.19/26.47  | | | | | 
% 172.19/26.47  | | | | | REDUCE: (77), (221) imply:
% 172.19/26.47  | | | | |   (222)   ~ (all_6_2 = e0)
% 172.19/26.47  | | | | | 
% 172.19/26.47  | | | | | BETA: splitting (107) gives:
% 172.19/26.47  | | | | | 
% 172.19/26.47  | | | | | Case 1:
% 172.19/26.47  | | | | | | 
% 172.19/26.47  | | | | | |   (223)   ~ (all_48_2 = e1)
% 172.19/26.47  | | | | | | 
% 172.19/26.47  | | | | | | REDUCE: (46), (223) imply:
% 172.19/26.47  | | | | | |   (224)   ~ (all_14_2 = e1)
% 172.19/26.47  | | | | | | 
% 172.19/26.47  | | | | | | BETA: splitting (6) gives:
% 172.19/26.47  | | | | | | 
% 172.19/26.47  | | | | | | Case 1:
% 172.19/26.47  | | | | | | | 
% 172.19/26.47  | | | | | | |   (225)  all_56_15 = e0
% 172.19/26.47  | | | | | | | 
% 172.19/26.47  | | | | | | | COMBINE_EQS: (30), (225) imply:
% 172.19/26.47  | | | | | | |   (226)  all_14_2 = e0
% 172.19/26.47  | | | | | | | 
% 172.19/26.47  | | | | | | | SIMP: (226) implies:
% 172.19/26.47  | | | | | | |   (227)  all_14_2 = e0
% 172.19/26.47  | | | | | | | 
% 172.19/26.47  | | | | | | | REDUCE: (94), (227) imply:
% 172.19/26.47  | | | | | | |   (228)   ~ (all_52_7 = e0)
% 172.19/26.47  | | | | | | | 
% 172.19/26.47  | | | | | | | REDUCE: (99), (227) imply:
% 172.19/26.47  | | | | | | |   (229)   ~ (all_52_13 = e0)
% 172.19/26.47  | | | | | | | 
% 172.19/26.47  | | | | | | | REDUCE: (213), (227) imply:
% 172.19/26.47  | | | | | | |   (230)   ~ (all_10_1 = e0)
% 172.19/26.47  | | | | | | | 
% 172.19/26.47  | | | | | | | REDUCE: (134), (227) imply:
% 172.19/26.47  | | | | | | |   (231)  op(all_14_1, e0) = all_14_0
% 172.19/26.47  | | | | | | | 
% 172.19/26.47  | | | | | | | REDUCE: (157), (227) imply:
% 172.19/26.47  | | | | | | |   (232)  op(e0, e0) = all_14_1
% 172.19/26.47  | | | | | | | 
% 172.19/26.47  | | | | | | | REDUCE: (174), (227) imply:
% 172.19/26.47  | | | | | | |   (233)  op(e0, e0) = all_58_15
% 172.19/26.47  | | | | | | | 
% 172.19/26.47  | | | | | | | REDUCE: (2), (227) imply:
% 172.19/26.47  | | | | | | |   (234)  op(e0, e0) = e0
% 172.19/26.47  | | | | | | | 
% 172.19/26.47  | | | | | | | BETA: splitting (131) gives:
% 172.19/26.47  | | | | | | | 
% 172.19/26.47  | | | | | | | Case 1:
% 172.19/26.47  | | | | | | | | 
% 172.19/26.47  | | | | | | | |   (235)  all_56_2 = e0
% 172.19/26.47  | | | | | | | | 
% 172.19/26.47  | | | | | | | | COMBINE_EQS: (119), (235) imply:
% 172.19/26.47  | | | | | | | |   (236)  all_52_1 = e0
% 172.19/26.47  | | | | | | | | 
% 172.19/26.47  | | | | | | | | COMBINE_EQS: (76), (236) imply:
% 172.19/26.47  | | | | | | | |   (237)  all_58_17 = e0
% 172.19/26.47  | | | | | | | | 
% 172.19/26.47  | | | | | | | | REDUCE: (123), (236) imply:
% 172.19/26.47  | | | | | | | |   (238)   ~ (all_52_2 = e0)
% 172.19/26.47  | | | | | | | | 
% 172.19/26.47  | | | | | | | | REDUCE: (181), (236) imply:
% 172.19/26.47  | | | | | | | |   (239)   ~ (all_52_3 = e0)
% 172.19/26.47  | | | | | | | | 
% 172.19/26.47  | | | | | | | | SIMP: (239) implies:
% 172.19/26.47  | | | | | | | |   (240)   ~ (all_52_3 = e0)
% 172.19/26.47  | | | | | | | | 
% 172.19/26.47  | | | | | | | | REDUCE: (152), (236) imply:
% 172.19/26.47  | | | | | | | |   (241)   ~ (all_52_9 = e0)
% 172.19/26.47  | | | | | | | | 
% 172.19/26.47  | | | | | | | | REDUCE: (135), (236) imply:
% 172.19/26.47  | | | | | | | |   (242)   ~ (all_52_13 = e0)
% 172.19/26.47  | | | | | | | | 
% 172.19/26.47  | | | | | | | | REDUCE: (100), (236) imply:
% 172.19/26.47  | | | | | | | |   (243)   ~ (all_4_2 = e0)
% 172.19/26.47  | | | | | | | | 
% 172.19/26.47  | | | | | | | | REDUCE: (106), (236) imply:
% 172.19/26.47  | | | | | | | |   (244)  op(e2, e3) = e0
% 172.19/26.47  | | | | | | | | 
% 172.19/26.47  | | | | | | | | BETA: splitting (110) gives:
% 172.19/26.47  | | | | | | | | 
% 172.19/26.47  | | | | | | | | Case 1:
% 172.19/26.47  | | | | | | | | | 
% 172.19/26.47  | | | | | | | | |   (245)  all_56_1 = e0
% 172.19/26.47  | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | COMBINE_EQS: (4), (245) imply:
% 172.19/26.47  | | | | | | | | |   (246)  all_52_4 = e0
% 172.19/26.47  | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | COMBINE_EQS: (138), (246) imply:
% 172.19/26.47  | | | | | | | | |   (247)  all_58_20 = e0
% 172.19/26.47  | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | REDUCE: (85), (246) imply:
% 172.19/26.47  | | | | | | | | |   (248)   ~ (all_52_7 = e0)
% 172.19/26.47  | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | REDUCE: (166), (246) imply:
% 172.19/26.47  | | | | | | | | |   (249)   ~ (all_52_8 = e0)
% 172.19/26.47  | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | REDUCE: (116), (246) imply:
% 172.19/26.47  | | | | | | | | |   (250)   ~ (all_6_2 = e0)
% 172.19/26.47  | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | REDUCE: (72), (246) imply:
% 172.19/26.47  | | | | | | | | |   (251)  op(e3, e2) = e0
% 172.19/26.47  | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | GROUND_INST: instantiating (170) with all_14_1, all_58_15, e0,
% 172.19/26.47  | | | | | | | | |              e0, simplifying with (232), (233) gives:
% 172.19/26.47  | | | | | | | | |   (252)  all_58_15 = all_14_1
% 172.19/26.47  | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | GROUND_INST: instantiating (170) with e0, all_58_15, e0, e0,
% 172.19/26.47  | | | | | | | | |              simplifying with (233), (234) gives:
% 172.19/26.47  | | | | | | | | |   (253)  all_58_15 = e0
% 172.19/26.47  | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | COMBINE_EQS: (252), (253) imply:
% 172.19/26.47  | | | | | | | | |   (254)  all_14_1 = e0
% 172.19/26.47  | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | SIMP: (254) implies:
% 172.19/26.47  | | | | | | | | |   (255)  all_14_1 = e0
% 172.19/26.47  | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | REDUCE: (231), (255) imply:
% 172.19/26.47  | | | | | | | | |   (256)  op(e0, e0) = all_14_0
% 172.19/26.47  | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | GROUND_INST: instantiating (170) with e0, all_14_0, e0, e0,
% 172.19/26.47  | | | | | | | | |              simplifying with (234), (256) gives:
% 172.19/26.47  | | | | | | | | |   (257)  all_14_0 = e0
% 172.19/26.47  | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | REDUCE: (218), (257) imply:
% 172.19/26.47  | | | | | | | | |   (258)   ~ (e1 = e0)
% 172.19/26.47  | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | BETA: splitting (40) gives:
% 172.19/26.47  | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | Case 1:
% 172.19/26.47  | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | |   (259)  all_54_6 = e0
% 172.19/26.47  | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | COMBINE_EQS: (38), (259) imply:
% 172.19/26.47  | | | | | | | | | |   (260)  all_52_9 = e0
% 172.19/26.47  | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | REDUCE: (50), (260) imply:
% 172.19/26.47  | | | | | | | | | |   (261)  $false
% 172.19/26.47  | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | CLOSE: (261) is inconsistent.
% 172.19/26.47  | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | Case 2:
% 172.19/26.47  | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | |   (262)   ~ (all_54_6 = e0)
% 172.19/26.47  | | | | | | | | | |   (263)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 172.19/26.47  | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | BETA: splitting (26) gives:
% 172.19/26.47  | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | Case 1:
% 172.19/26.47  | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | |   (264)  all_54_5 = e0
% 172.19/26.47  | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | COMBINE_EQS: (193), (264) imply:
% 172.19/26.47  | | | | | | | | | | |   (265)  all_4_2 = e0
% 172.19/26.47  | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | REDUCE: (220), (265) imply:
% 172.19/26.47  | | | | | | | | | | |   (266)  $false
% 172.19/26.47  | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | CLOSE: (266) is inconsistent.
% 172.19/26.47  | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | Case 2:
% 172.19/26.47  | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | |   (267)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 172.19/26.47  | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | BETA: splitting (9) gives:
% 172.19/26.47  | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | Case 1:
% 172.19/26.47  | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | |   (268)  all_54_0 = e0
% 172.19/26.47  | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | REF_CLOSE: (161), (222), (268) are inconsistent by sub-proof
% 172.19/26.47  | | | | | | | | | | | |            #984.
% 172.19/26.47  | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | Case 2:
% 172.19/26.47  | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | |   (269)   ~ (all_54_0 = e0)
% 172.19/26.47  | | | | | | | | | | | |   (270)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.19/26.47  | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | BETA: splitting (98) gives:
% 172.19/26.47  | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | Case 1:
% 172.19/26.47  | | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | |   (271)  all_54_7 = e0
% 172.19/26.47  | | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | | REF_CLOSE: (198), (229), (271) are inconsistent by sub-proof
% 172.19/26.47  | | | | | | | | | | | | |            #714.
% 172.19/26.47  | | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | Case 2:
% 172.19/26.47  | | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | |   (272)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 172.19/26.47  | | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | | BETA: splitting (67) gives:
% 172.19/26.47  | | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | | Case 1:
% 172.19/26.47  | | | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | | |   (273)  all_58_27 = e0
% 172.19/26.47  | | | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | | | COMBINE_EQS: (207), (273) imply:
% 172.19/26.47  | | | | | | | | | | | | | |   (274)  all_10_1 = e0
% 172.19/26.47  | | | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | | | REDUCE: (214), (274) imply:
% 172.19/26.47  | | | | | | | | | | | | | |   (275)  $false
% 172.19/26.47  | | | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | | | CLOSE: (275) is inconsistent.
% 172.19/26.47  | | | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | | Case 2:
% 172.19/26.47  | | | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | | |   (276)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.19/26.47  | | | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | | | BETA: splitting (17) gives:
% 172.19/26.47  | | | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | | | Case 1:
% 172.19/26.47  | | | | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | | | |   (277)  all_58_19 = e0
% 172.19/26.47  | | | | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | | | | COMBINE_EQS: (79), (277) imply:
% 172.19/26.47  | | | | | | | | | | | | | | |   (278)  all_52_3 = e0
% 172.19/26.47  | | | | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | | | | REDUCE: (240), (278) imply:
% 172.19/26.47  | | | | | | | | | | | | | | |   (279)  $false
% 172.19/26.47  | | | | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | | | | CLOSE: (279) is inconsistent.
% 172.19/26.47  | | | | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | | | Case 2:
% 172.19/26.47  | | | | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | | | |   (280)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.19/26.47  | | | | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | | | | BETA: splitting (145) gives:
% 172.19/26.47  | | | | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | | | | Case 1:
% 172.19/26.47  | | | | | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | | | | |   (281)  all_58_23 = e0
% 172.19/26.47  | | | | | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | | | | | COMBINE_EQS: (13), (281) imply:
% 172.19/26.47  | | | | | | | | | | | | | | | |   (282)  all_52_7 = e0
% 172.19/26.47  | | | | | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | | | | | REDUCE: (228), (282) imply:
% 172.19/26.47  | | | | | | | | | | | | | | | |   (283)  $false
% 172.19/26.47  | | | | | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | | | | | CLOSE: (283) is inconsistent.
% 172.19/26.47  | | | | | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | | | | Case 2:
% 172.19/26.47  | | | | | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | | | | |   (284)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.19/26.47  | | | | | | | | | | | | | | | | 
% 172.19/26.47  | | | | | | | | | | | | | | | | BETA: splitting (44) gives:
% 172.19/26.48  | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.48  | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | |   (285)  all_56_0 = e3
% 172.19/26.48  | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | COMBINE_EQS: (66), (285) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | | |   (286)  all_6_2 = e3
% 172.19/26.48  | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | SIMP: (286) implies:
% 172.19/26.48  | | | | | | | | | | | | | | | | |   (287)  all_6_2 = e3
% 172.19/26.48  | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | REDUCE: (148), (287) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | | |   (288)   ~ (all_52_8 = e3)
% 172.19/26.48  | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | BETA: splitting (276) gives:
% 172.19/26.48  | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | |   (289)  all_58_26 = e1
% 172.19/26.48  | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (87), (289) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | | | |   (290)  e1 = e0
% 172.19/26.48  | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | REDUCE: (186), (290) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | | | |   (291)  $false
% 172.19/26.48  | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | CLOSE: (291) is inconsistent.
% 172.19/26.48  | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | |   (292)  all_58_24 = e3 | all_58_25 = e2
% 172.19/26.48  | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | |   (293)  all_58_25 = e2
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (168), (293) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | |   (294)  all_52_9 = e2
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | REDUCE: (115), (294) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | |   (295)   ~ (all_52_8 = e2)
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | REDUCE: (36), (294) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | |   (296)   ~ (all_4_2 = e2)
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | SIMP: (296) implies:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | |   (297)   ~ (all_4_2 = e2)
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (27), (64), (73), (80), (84), (95), (120),
% 172.19/26.48  | | | | | | | | | | | | | | | | | | |            (130), (156), (170), (176), (180), (193), (245),
% 172.19/26.48  | | | | | | | | | | | | | | | | | | |            (247), (251), (267), (284), (285), (295), (297)
% 172.19/26.48  | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #326.
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | |   (298)  all_58_24 = e3
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (153), (298) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | |   (299)  all_52_8 = e3
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | REDUCE: (288), (299) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | |   (300)  $false
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | CLOSE: (300) is inconsistent.
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.48  | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | End of split
% 172.19/26.48  | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.48  | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | |   (301)   ~ (all_56_0 = e3)
% 172.19/26.48  | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | REDUCE: (66), (301) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | | |   (302)   ~ (all_6_2 = e3)
% 172.19/26.48  | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 172.19/26.48  | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | |   (303)  all_58_18 = e1
% 172.19/26.48  | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (108), (303) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | | | |   (304)  all_52_2 = e1
% 172.19/26.48  | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | SIMP: (304) implies:
% 172.19/26.48  | | | | | | | | | | | | | | | | | |   (305)  all_52_2 = e1
% 172.19/26.48  | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | REDUCE: (82), (305) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | | | |   (306)   ~ (all_52_6 = e1)
% 172.19/26.48  | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | SIMP: (306) implies:
% 172.19/26.48  | | | | | | | | | | | | | | | | | |   (307)   ~ (all_52_6 = e1)
% 172.19/26.48  | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | REDUCE: (14), (305) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | | | |   (308)   ~ (all_6_2 = e1)
% 172.19/26.48  | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | SIMP: (308) implies:
% 172.19/26.48  | | | | | | | | | | | | | | | | | |   (309)   ~ (all_6_2 = e1)
% 172.19/26.48  | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | BETA: splitting (284) gives:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | |   (310)  all_58_22 = e1
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (156), (310) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | |   (311)  all_52_6 = e1
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | REDUCE: (307), (311) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | |   (312)  $false
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | CLOSE: (312) is inconsistent.
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | |   (313)  all_58_20 = e3 | all_58_21 = e2
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | |   (314)  all_58_21 = e2
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (176), (314) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | |   (315)  all_4_2 = e2
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (159), (315) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | |   (316)  all_56_3 = e2
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (315) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | |   (317)   ~ (all_52_9 = e2)
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (23), (38), (53), (87), (115), (148), (153),
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | |            (161), (168), (170), (178), (186), (191), (195),
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | |            (198), (201), (217), (235), (244), (263), (270),
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | |            (272), (276), (309), (316), (317) are inconsistent
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | |            by sub-proof #325.
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | |   (318)  all_58_20 = e3
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (247), (318) are inconsistent by sub-proof
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | |            #948.
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.48  | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | |   (319)  all_58_16 = e3 | all_58_17 = e2
% 172.19/26.48  | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | REF_CLOSE: (111), (180), (237), (302), (319) are inconsistent
% 172.19/26.48  | | | | | | | | | | | | | | | | | |            by sub-proof #814.
% 172.19/26.48  | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | End of split
% 172.19/26.48  | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | End of split
% 172.19/26.48  | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | End of split
% 172.19/26.48  | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | End of split
% 172.19/26.48  | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | End of split
% 172.19/26.48  | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | End of split
% 172.19/26.48  | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | End of split
% 172.19/26.48  | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | End of split
% 172.19/26.48  | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | End of split
% 172.19/26.48  | | | | | | | | | 
% 172.19/26.48  | | | | | | | | Case 2:
% 172.19/26.48  | | | | | | | | | 
% 172.19/26.48  | | | | | | | | |   (320)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.19/26.48  | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | REF_CLOSE: (112), (159), (171), (188), (220), (228), (320) are
% 172.19/26.48  | | | | | | | | |            inconsistent by sub-proof #940.
% 172.19/26.48  | | | | | | | | | 
% 172.19/26.48  | | | | | | | | End of split
% 172.19/26.48  | | | | | | | | 
% 172.19/26.48  | | | | | | | Case 2:
% 172.19/26.48  | | | | | | | | 
% 172.19/26.48  | | | | | | | |   (321)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.19/26.48  | | | | | | | | 
% 172.19/26.48  | | | | | | | | REF_CLOSE: (21), (50), (159), (178), (220), (229), (321) are
% 172.19/26.48  | | | | | | | |            inconsistent by sub-proof #695.
% 172.19/26.48  | | | | | | | | 
% 172.19/26.48  | | | | | | | End of split
% 172.19/26.48  | | | | | | | 
% 172.19/26.48  | | | | | | Case 2:
% 172.19/26.48  | | | | | | | 
% 172.19/26.48  | | | | | | |   (322)   ~ (all_56_15 = e0)
% 172.19/26.48  | | | | | | |   (323)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 172.19/26.48  | | | | | | |          (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0)
% 172.19/26.48  | | | | | | | 
% 172.19/26.48  | | | | | | | ALPHA: (323) implies:
% 172.19/26.48  | | | | | | |   (324)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 172.19/26.48  | | | | | | | 
% 172.19/26.48  | | | | | | | REDUCE: (30), (322) imply:
% 172.19/26.48  | | | | | | |   (325)   ~ (all_14_2 = e0)
% 172.19/26.48  | | | | | | | 
% 172.19/26.48  | | | | | | | BETA: splitting (89) gives:
% 172.19/26.48  | | | | | | | 
% 172.19/26.48  | | | | | | | Case 1:
% 172.19/26.48  | | | | | | | | 
% 172.19/26.48  | | | | | | | |   (326)  all_54_15 = e0
% 172.19/26.48  | | | | | | | | 
% 172.19/26.48  | | | | | | | | REF_CLOSE: (140), (325), (326) are inconsistent by sub-proof
% 172.19/26.48  | | | | | | | |            #910.
% 172.19/26.48  | | | | | | | | 
% 172.19/26.48  | | | | | | | Case 2:
% 172.19/26.48  | | | | | | | | 
% 172.19/26.48  | | | | | | | |   (327)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 172.19/26.48  | | | | | | | | 
% 172.19/26.48  | | | | | | | | REF_CLOSE: (2), (4), (5), (8), (10), (12), (13), (14), (16),
% 172.19/26.48  | | | | | | | |            (17), (20), (21), (24), (25), (29), (30), (33), (35),
% 172.19/26.48  | | | | | | | |            (36), (37), (42), (45), (47), (48), (50), (52), (54),
% 172.19/26.48  | | | | | | | |            (55), (57), (58), (60), (63), (66), (67), (68), (75),
% 172.19/26.48  | | | | | | | |            (76), (79), (80), (84), (85), (86), (87), (88), (91),
% 172.19/26.48  | | | | | | | |            (92), (94), (99), (100), (101), (104), (105), (108),
% 172.19/26.48  | | | | | | | |            (109), (110), (111), (112), (114), (119), (120),
% 172.19/26.48  | | | | | | | |            (121), (122), (125), (126), (128), (129), (130),
% 172.19/26.48  | | | | | | | |            (131), (132), (138), (139), (140), (142), (145),
% 172.19/26.48  | | | | | | | |            (147), (148), (150), (151), (152), (153), (154),
% 172.19/26.48  | | | | | | | |            (156), (159), (165), (166), (167), (168), (170),
% 172.19/26.48  | | | | | | | |            (171), (173), (176), (178), (180), (181), (182),
% 172.19/26.48  | | | | | | | |            (184), (186), (188), (189), (191), (194), (195),
% 172.19/26.48  | | | | | | | |            (196), (202), (204), (206), (207), (208), (209),
% 172.19/26.48  | | | | | | | |            (210), (211), (213), (214), (220), (222), (224),
% 172.19/26.48  | | | | | | | |            (324), (327) are inconsistent by sub-proof #313.
% 172.19/26.48  | | | | | | | | 
% 172.19/26.48  | | | | | | | End of split
% 172.19/26.48  | | | | | | | 
% 172.19/26.48  | | | | | | End of split
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | Case 2:
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | |   (328)  all_48_2 = e1
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | | COMBINE_EQS: (46), (328) imply:
% 172.19/26.48  | | | | | |   (329)  all_14_2 = e1
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | | SIMP: (329) implies:
% 172.19/26.48  | | | | | |   (330)  all_14_2 = e1
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | | COMBINE_EQS: (30), (330) imply:
% 172.19/26.48  | | | | | |   (331)  all_56_15 = e1
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | | COMBINE_EQS: (52), (330) imply:
% 172.19/26.48  | | | | | |   (332)  all_58_31 = e1
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | | REDUCE: (94), (330) imply:
% 172.19/26.48  | | | | | |   (333)   ~ (all_52_7 = e1)
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | | REDUCE: (1), (330) imply:
% 172.19/26.48  | | | | | |   (334)   ~ (all_52_12 = e1)
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | | REDUCE: (99), (330) imply:
% 172.19/26.48  | | | | | |   (335)   ~ (all_52_13 = e1)
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | | REDUCE: (167), (330) imply:
% 172.19/26.48  | | | | | |   (336)   ~ (all_52_14 = e1)
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | | REDUCE: (157), (330) imply:
% 172.19/26.48  | | | | | |   (337)  op(e1, e0) = all_14_1
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | | GROUND_INST: instantiating (170) with all_52_14, all_14_1, e0, e1,
% 172.19/26.48  | | | | | |              simplifying with (29), (337) gives:
% 172.19/26.48  | | | | | |   (338)  all_52_14 = all_14_1
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | | COMBINE_EQS: (200), (338) imply:
% 172.19/26.48  | | | | | |   (339)  all_54_11 = all_14_1
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | | COMBINE_EQS: (60), (338) imply:
% 172.19/26.48  | | | | | |   (340)  all_56_11 = all_14_1
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | | COMBINE_EQS: (68), (338) imply:
% 172.19/26.48  | | | | | |   (341)  all_58_30 = all_14_1
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | | REDUCE: (173), (338) imply:
% 172.19/26.48  | | | | | |   (342)   ~ (all_52_2 = all_14_1)
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | | REDUCE: (154), (338) imply:
% 172.19/26.48  | | | | | |   (343)   ~ (all_52_12 = all_14_1)
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | | REDUCE: (105), (338) imply:
% 172.19/26.48  | | | | | |   (344)   ~ (all_52_13 = all_14_1)
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | | REDUCE: (336), (338) imply:
% 172.19/26.48  | | | | | |   (345)   ~ (all_14_1 = e1)
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | | REDUCE: (183), (338) imply:
% 172.19/26.48  | | | | | |   (346)   ~ (all_14_1 = e0)
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | | BETA: splitting (41) gives:
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | | Case 1:
% 172.19/26.48  | | | | | | | 
% 172.19/26.48  | | | | | | |   (347)  all_54_11 = e0
% 172.19/26.48  | | | | | | | 
% 172.19/26.48  | | | | | | | COMBINE_EQS: (339), (347) imply:
% 172.19/26.48  | | | | | | |   (348)  all_14_1 = e0
% 172.19/26.48  | | | | | | | 
% 172.19/26.48  | | | | | | | REDUCE: (346), (348) imply:
% 172.19/26.48  | | | | | | |   (349)  $false
% 172.19/26.48  | | | | | | | 
% 172.19/26.48  | | | | | | | CLOSE: (349) is inconsistent.
% 172.19/26.48  | | | | | | | 
% 172.19/26.48  | | | | | | Case 2:
% 172.19/26.48  | | | | | | | 
% 172.19/26.48  | | | | | | |   (350)   ~ (all_54_11 = e0)
% 172.19/26.48  | | | | | | |   (351)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 172.19/26.48  | | | | | | | 
% 172.19/26.48  | | | | | | | REF_CLOSE: (4), (5), (6), (10), (13), (16), (17), (21), (27),
% 172.19/26.48  | | | | | | |            (34), (36), (37), (38), (40), (42), (48), (50), (51),
% 172.19/26.48  | | | | | | |            (53), (54), (55), (63), (66), (67), (76), (79), (80),
% 172.19/26.48  | | | | | | |            (82), (85), (87), (88), (92), (101), (102), (103),
% 172.19/26.48  | | | | | | |            (108), (109), (110), (111), (112), (115), (119), (120),
% 172.19/26.48  | | | | | | |            (122), (123), (124), (129), (130), (131), (132), (135),
% 172.19/26.48  | | | | | | |            (136), (138), (139), (142), (145), (147), (149), (151),
% 172.19/26.48  | | | | | | |            (152), (153), (156), (158), (159), (160), (165), (168),
% 172.19/26.48  | | | | | | |            (169), (171), (176), (178), (180), (181), (182), (184),
% 172.19/26.48  | | | | | | |            (185), (186), (187), (188), (196), (197), (201), (202),
% 172.19/26.48  | | | | | | |            (206), (207), (208), (209), (210), (211), (214), (220),
% 172.19/26.48  | | | | | | |            (222), (331), (332), (333), (334), (335), (339), (340),
% 172.19/26.48  | | | | | | |            (341), (342), (343), (344), (345), (346), (351) are
% 172.19/26.48  | | | | | | |            inconsistent by sub-proof #284.
% 172.19/26.48  | | | | | | | 
% 172.19/26.48  | | | | | | End of split
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | End of split
% 172.19/26.48  | | | | | 
% 172.19/26.48  | | | | Case 2:
% 172.19/26.48  | | | | | 
% 172.19/26.48  | | | | |   (352)  all_42_2 = e0
% 172.19/26.48  | | | | | 
% 172.19/26.48  | | | | | COMBINE_EQS: (77), (352) imply:
% 172.19/26.48  | | | | |   (353)  all_6_2 = e0
% 172.19/26.48  | | | | | 
% 172.19/26.48  | | | | | SIMP: (353) implies:
% 172.19/26.48  | | | | |   (354)  all_6_2 = e0
% 172.19/26.48  | | | | | 
% 172.19/26.48  | | | | | COMBINE_EQS: (66), (354) imply:
% 172.19/26.48  | | | | |   (355)  all_56_0 = e0
% 172.19/26.48  | | | | | 
% 172.19/26.48  | | | | | COMBINE_EQS: (111), (354) imply:
% 172.19/26.48  | | | | |   (356)  all_58_16 = e0
% 172.19/26.48  | | | | | 
% 172.19/26.48  | | | | | REDUCE: (57), (354) imply:
% 172.19/26.48  | | | | |   (357)   ~ (all_52_1 = e0)
% 172.19/26.48  | | | | | 
% 172.19/26.48  | | | | | REDUCE: (116), (354) imply:
% 172.19/26.48  | | | | |   (358)   ~ (all_52_4 = e0)
% 172.19/26.48  | | | | | 
% 172.19/26.48  | | | | | REDUCE: (23), (354) imply:
% 172.19/26.48  | | | | |   (359)  op(e0, e3) = all_6_1
% 172.19/26.48  | | | | | 
% 172.19/26.48  | | | | | REF_CLOSE: (1), (4), (5), (10), (12), (16), (17), (21), (27), (29),
% 172.19/26.48  | | | | |            (30), (34), (36), (37), (38), (40), (42), (44), (46), (48),
% 172.19/26.48  | | | | |            (50), (51), (52), (53), (60), (63), (67), (68), (75), (76),
% 172.19/26.48  | | | | |            (79), (80), (82), (83), (84), (85), (86), (87), (89), (92),
% 172.19/26.48  | | | | |            (95), (99), (100), (101), (102), (103), (104), (105),
% 172.19/26.48  | | | | |            (107), (108), (110), (112), (113), (115), (119), (120),
% 172.19/26.48  | | | | |            (122), (123), (124), (125), (126), (128), (130), (131),
% 172.19/26.48  | | | | |            (132), (135), (136), (137), (138), (140), (149), (151),
% 172.19/26.48  | | | | |            (152), (153), (154), (156), (159), (160), (165), (166),
% 172.19/26.48  | | | | |            (167), (168), (169), (170), (171), (172), (173), (176),
% 172.19/26.48  | | | | |            (178), (180), (181), (184), (185), (186), (187), (188),
% 172.19/26.48  | | | | |            (191), (194), (196), (197), (202), (205), (206), (207),
% 172.19/26.48  | | | | |            (208), (209), (210), (211), (213), (220), (355), (356),
% 172.19/26.48  | | | | |            (357), (358), (359) are inconsistent by sub-proof #268.
% 172.19/26.48  | | | | | 
% 172.19/26.48  | | | | End of split
% 172.19/26.48  | | | | 
% 172.19/26.48  | | | Case 2:
% 172.19/26.48  | | | | 
% 172.19/26.48  | | | |   (360)  all_24_2 = e0
% 172.19/26.48  | | | |   (361)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3)
% 172.19/26.48  | | | | 
% 172.19/26.48  | | | | COMBINE_EQS: (19), (360) imply:
% 172.19/26.48  | | | |   (362)  all_4_2 = e0
% 172.19/26.48  | | | | 
% 172.19/26.48  | | | | SIMP: (362) implies:
% 172.19/26.48  | | | |   (363)  all_4_2 = e0
% 172.19/26.48  | | | | 
% 172.19/26.48  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12),
% 172.19/26.48  | | | |            (13), (14), (15), (17), (21), (23), (24), (27), (28), (29),
% 172.19/26.48  | | | |            (30), (32), (34), (36), (37), (38), (40), (41), (42), (45),
% 172.19/26.48  | | | |            (46), (47), (48), (51), (52), (53), (54), (55), (56), (57),
% 172.19/26.48  | | | |            (58), (59), (60), (62), (63), (65), (66), (67), (68), (70),
% 172.19/26.48  | | | |            (73), (76), (77), (78), (79), (80), (81), (82), (84), (85),
% 172.19/26.48  | | | |            (86), (87), (88), (92), (94), (97), (98), (99), (100), (101),
% 172.19/26.48  | | | |            (102), (103), (104), (105), (106), (107), (108), (109),
% 172.19/26.48  | | | |            (111), (112), (113), (115), (116), (117), (118), (119),
% 172.19/26.48  | | | |            (120), (121), (122), (123), (125), (127), (128), (129),
% 172.19/26.48  | | | |            (130), (132), (133), (134), (135), (138), (139), (142),
% 172.19/26.48  | | | |            (143), (145), (147), (148), (149), (151), (152), (153),
% 172.19/26.48  | | | |            (154), (156), (157), (158), (159), (160), (161), (162),
% 172.19/26.48  | | | |            (165), (166), (167), (168), (169), (170), (173), (174),
% 172.19/26.48  | | | |            (176), (177), (178), (179), (180), (181), (182), (183),
% 172.19/26.48  | | | |            (184), (185), (186), (187), (188), (189), (190), (194),
% 172.19/26.48  | | | |            (196), (197), (198), (199), (200), (201), (202), (206),
% 172.19/26.48  | | | |            (207), (208), (209), (210), (211), (213), (214), (218),
% 172.19/26.48  | | | |            (361), (363) are inconsistent by sub-proof #256.
% 172.19/26.48  | | | | 
% 172.19/26.48  | | | End of split
% 172.19/26.48  | | | 
% 172.19/26.48  | | Case 2:
% 172.19/26.48  | | | 
% 172.19/26.48  | | |   (364)  all_14_0 = e1
% 172.19/26.48  | | | 
% 172.19/26.48  | | | REDUCE: (134), (364) imply:
% 172.19/26.48  | | |   (365)  op(all_14_1, all_14_2) = e1
% 172.19/26.48  | | | 
% 172.19/26.48  | | | BETA: splitting (175) gives:
% 172.19/26.48  | | | 
% 172.19/26.48  | | | Case 1:
% 172.19/26.48  | | | | 
% 172.19/26.48  | | | |   (366)   ~ (all_24_2 = e0)
% 172.19/26.48  | | | | 
% 172.19/26.48  | | | | REDUCE: (19), (366) imply:
% 172.19/26.48  | | | |   (367)   ~ (all_4_2 = e0)
% 172.19/26.48  | | | | 
% 172.19/26.48  | | | | BETA: splitting (78) gives:
% 172.19/26.48  | | | | 
% 172.19/26.48  | | | | Case 1:
% 172.19/26.48  | | | | | 
% 172.19/26.48  | | | | |   (368)   ~ (all_42_2 = e0)
% 172.19/26.48  | | | | | 
% 172.19/26.48  | | | | | REDUCE: (77), (368) imply:
% 172.19/26.48  | | | | |   (369)   ~ (all_6_2 = e0)
% 172.19/26.48  | | | | | 
% 172.19/26.48  | | | | | BETA: splitting (6) gives:
% 172.19/26.48  | | | | | 
% 172.19/26.48  | | | | | Case 1:
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | |   (370)  all_56_15 = e0
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | | REF_CLOSE: (2), (30), (157), (170), (174), (186), (365), (370) are
% 172.19/26.48  | | | | | |            inconsistent by sub-proof #400.
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | Case 2:
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | |   (371)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 172.19/26.48  | | | | | |          (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0)
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | | ALPHA: (371) implies:
% 172.19/26.48  | | | | | |   (372)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 172.19/26.48  | | | | | |   (373)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | | BETA: splitting (131) gives:
% 172.19/26.48  | | | | | | 
% 172.19/26.48  | | | | | | Case 1:
% 172.19/26.48  | | | | | | | 
% 172.19/26.48  | | | | | | |   (374)  all_56_2 = e0
% 172.19/26.48  | | | | | | | 
% 172.19/26.48  | | | | | | | COMBINE_EQS: (119), (374) imply:
% 172.19/26.48  | | | | | | |   (375)  all_52_1 = e0
% 172.19/26.48  | | | | | | | 
% 172.19/26.48  | | | | | | | COMBINE_EQS: (76), (375) imply:
% 172.19/26.48  | | | | | | |   (376)  all_58_17 = e0
% 172.19/26.48  | | | | | | | 
% 172.19/26.48  | | | | | | | REDUCE: (123), (375) imply:
% 172.19/26.48  | | | | | | |   (377)   ~ (all_52_2 = e0)
% 172.19/26.48  | | | | | | | 
% 172.19/26.48  | | | | | | | REDUCE: (181), (375) imply:
% 172.19/26.48  | | | | | | |   (378)   ~ (all_52_3 = e0)
% 172.19/26.48  | | | | | | | 
% 172.19/26.48  | | | | | | | SIMP: (378) implies:
% 172.19/26.48  | | | | | | |   (379)   ~ (all_52_3 = e0)
% 172.19/26.48  | | | | | | | 
% 172.19/26.48  | | | | | | | REDUCE: (152), (375) imply:
% 172.19/26.48  | | | | | | |   (380)   ~ (all_52_9 = e0)
% 172.19/26.48  | | | | | | | 
% 172.19/26.48  | | | | | | | REDUCE: (135), (375) imply:
% 172.19/26.48  | | | | | | |   (381)   ~ (all_52_13 = e0)
% 172.19/26.48  | | | | | | | 
% 172.19/26.48  | | | | | | | SIMP: (381) implies:
% 172.19/26.48  | | | | | | |   (382)   ~ (all_52_13 = e0)
% 172.19/26.48  | | | | | | | 
% 172.19/26.48  | | | | | | | REDUCE: (47), (375) imply:
% 172.19/26.48  | | | | | | |   (383)  op(e2, e0) = all_58_4
% 172.19/26.48  | | | | | | | 
% 172.19/26.48  | | | | | | | REDUCE: (106), (375) imply:
% 172.19/26.48  | | | | | | |   (384)  op(e2, e3) = e0
% 172.19/26.48  | | | | | | | 
% 172.19/26.48  | | | | | | | BETA: splitting (372) gives:
% 172.19/26.48  | | | | | | | 
% 172.19/26.48  | | | | | | | Case 1:
% 172.19/26.48  | | | | | | | | 
% 172.19/26.48  | | | | | | | |   (385)  all_56_12 = e0
% 172.19/26.48  | | | | | | | | 
% 172.19/26.48  | | | | | | | | REF_CLOSE: (5), (379), (385) are inconsistent by sub-proof #919.
% 172.19/26.48  | | | | | | | | 
% 172.19/26.48  | | | | | | | Case 2:
% 172.19/26.48  | | | | | | | | 
% 172.19/26.48  | | | | | | | |   (386)  all_56_13 = e0 | all_56_14 = e0
% 172.19/26.48  | | | | | | | | 
% 172.19/26.48  | | | | | | | | BETA: splitting (373) gives:
% 172.19/26.48  | | | | | | | | 
% 172.19/26.48  | | | | | | | | Case 1:
% 172.19/26.48  | | | | | | | | | 
% 172.19/26.48  | | | | | | | | |   (387)  all_56_9 = e0
% 172.19/26.48  | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | COMBINE_EQS: (80), (387) imply:
% 172.19/26.48  | | | | | | | | |   (388)  all_52_12 = e0
% 172.19/26.48  | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | SIMP: (388) implies:
% 172.19/26.48  | | | | | | | | |   (389)  all_52_12 = e0
% 172.19/26.48  | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | COMBINE_EQS: (184), (389) imply:
% 172.19/26.48  | | | | | | | | |   (390)  all_58_28 = e0
% 172.19/26.48  | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | REDUCE: (154), (389) imply:
% 172.19/26.48  | | | | | | | | |   (391)   ~ (all_52_14 = e0)
% 172.19/26.48  | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | REDUCE: (24), (389) imply:
% 172.19/26.48  | | | | | | | | |   (392)   ~ (all_6_2 = e0)
% 172.19/26.48  | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | REDUCE: (8), (389) imply:
% 172.19/26.48  | | | | | | | | |   (393)  op(e3, e0) = all_58_3
% 172.19/26.48  | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | REDUCE: (121), (389) imply:
% 172.19/26.48  | | | | | | | | |   (394)  op(e3, e0) = e0
% 172.19/26.48  | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | BETA: splitting (386) gives:
% 172.19/26.48  | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | Case 1:
% 172.19/26.48  | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | |   (395)  all_56_13 = e0
% 172.19/26.48  | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | COMBINE_EQS: (112), (395) imply:
% 172.19/26.48  | | | | | | | | | |   (396)  all_52_7 = e0
% 172.19/26.48  | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | SIMP: (396) implies:
% 172.19/26.48  | | | | | | | | | |   (397)  all_52_7 = e0
% 172.19/26.48  | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | COMBINE_EQS: (13), (397) imply:
% 172.19/26.48  | | | | | | | | | |   (398)  all_58_23 = e0
% 172.19/26.48  | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | REDUCE: (85), (397) imply:
% 172.19/26.48  | | | | | | | | | |   (399)   ~ (all_52_4 = e0)
% 172.19/26.48  | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | REDUCE: (94), (397) imply:
% 172.19/26.48  | | | | | | | | | |   (400)   ~ (all_14_2 = e0)
% 172.19/26.48  | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | SIMP: (400) implies:
% 172.19/26.48  | | | | | | | | | |   (401)   ~ (all_14_2 = e0)
% 172.19/26.48  | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | REDUCE: (209), (397) imply:
% 172.19/26.48  | | | | | | | | | |   (402)   ~ (all_10_1 = e0)
% 172.19/26.48  | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | REDUCE: (129), (397) imply:
% 172.19/26.48  | | | | | | | | | |   (403)   ~ (all_4_2 = e0)
% 172.19/26.48  | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | REDUCE: (114), (397) imply:
% 172.19/26.48  | | | | | | | | | |   (404)  op(e0, e0) = all_58_13
% 172.19/26.48  | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | GROUND_INST: instantiating (170) with all_14_2, all_58_13, e0,
% 172.19/26.48  | | | | | | | | | |              e0, simplifying with (2), (404) gives:
% 172.19/26.48  | | | | | | | | | |   (405)  all_58_13 = all_14_2
% 172.19/26.48  | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | GROUND_INST: instantiating (170) with all_52_13, all_58_4, e0,
% 172.19/26.48  | | | | | | | | | |              e2, simplifying with (25), (383) gives:
% 172.19/26.48  | | | | | | | | | |   (406)  all_58_4 = all_52_13
% 172.19/26.48  | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | GROUND_INST: instantiating (170) with e0, all_58_3, e0, e3,
% 172.19/26.48  | | | | | | | | | |              simplifying with (393), (394) gives:
% 172.19/26.48  | | | | | | | | | |   (407)  all_58_3 = e0
% 172.19/26.48  | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | BETA: splitting (40) gives:
% 172.19/26.48  | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | Case 1:
% 172.19/26.48  | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | |   (408)  all_54_6 = e0
% 172.19/26.48  | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | REF_CLOSE: (38), (50), (408) are inconsistent by sub-proof
% 172.19/26.48  | | | | | | | | | | |            #901.
% 172.19/26.48  | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | Case 2:
% 172.19/26.48  | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | |   (409)   ~ (all_54_6 = e0)
% 172.19/26.48  | | | | | | | | | | |   (410)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 172.19/26.48  | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | BETA: splitting (9) gives:
% 172.19/26.48  | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | Case 1:
% 172.19/26.48  | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | |   (411)  all_54_0 = e0
% 172.19/26.48  | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | REF_CLOSE: (161), (369), (411) are inconsistent by sub-proof
% 172.19/26.48  | | | | | | | | | | | |            #984.
% 172.19/26.48  | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | Case 2:
% 172.19/26.48  | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | |   (412)   ~ (all_54_0 = e0)
% 172.19/26.48  | | | | | | | | | | | |   (413)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.19/26.48  | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | BETA: splitting (98) gives:
% 172.19/26.48  | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | Case 1:
% 172.19/26.48  | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | |   (414)  all_54_7 = e0
% 172.19/26.48  | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | REF_CLOSE: (198), (382), (414) are inconsistent by sub-proof
% 172.19/26.48  | | | | | | | | | | | | |            #714.
% 172.19/26.48  | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | Case 2:
% 172.19/26.48  | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | |   (415)   ~ (all_54_7 = e0)
% 172.19/26.48  | | | | | | | | | | | | |   (416)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 172.19/26.48  | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | BETA: splitting (48) gives:
% 172.19/26.48  | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | Case 1:
% 172.19/26.48  | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | |   (417)  all_58_31 = e0
% 172.19/26.48  | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | COMBINE_EQS: (52), (417) imply:
% 172.19/26.48  | | | | | | | | | | | | | |   (418)  all_14_2 = e0
% 172.19/26.48  | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | REDUCE: (401), (418) imply:
% 172.19/26.48  | | | | | | | | | | | | | |   (419)  $false
% 172.19/26.48  | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | CLOSE: (419) is inconsistent.
% 172.19/26.48  | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | Case 2:
% 172.19/26.48  | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | |   (420)   ~ (all_58_31 = e0)
% 172.19/26.48  | | | | | | | | | | | | | |   (421)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.19/26.48  | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | BETA: splitting (17) gives:
% 172.19/26.48  | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | Case 1:
% 172.19/26.48  | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | |   (422)  all_58_19 = e0
% 172.19/26.48  | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | COMBINE_EQS: (79), (422) imply:
% 172.19/26.48  | | | | | | | | | | | | | | |   (423)  all_52_3 = e0
% 172.19/26.48  | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | REDUCE: (379), (423) imply:
% 172.19/26.48  | | | | | | | | | | | | | | |   (424)  $false
% 172.19/26.48  | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | CLOSE: (424) is inconsistent.
% 172.19/26.48  | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | Case 2:
% 172.19/26.48  | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | |   (425)   ~ (all_58_19 = e0)
% 172.19/26.48  | | | | | | | | | | | | | | |   (426)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.19/26.48  | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 172.19/26.48  | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | Case 1:
% 172.19/26.48  | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | |   (427)  all_58_27 = e0
% 172.19/26.48  | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | COMBINE_EQS: (207), (427) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | |   (428)  all_10_1 = e0
% 172.19/26.48  | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | REDUCE: (214), (428) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | |   (429)  $false
% 172.19/26.48  | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | CLOSE: (429) is inconsistent.
% 172.19/26.48  | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | Case 2:
% 172.19/26.48  | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | |   (430)   ~ (all_58_27 = e0)
% 172.19/26.48  | | | | | | | | | | | | | | | |   (431)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.19/26.48  | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | BETA: splitting (136) gives:
% 172.19/26.48  | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.48  | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | |   (432)  all_56_4 = e1
% 172.19/26.48  | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | COMBINE_EQS: (130), (432) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | | |   (433)  all_52_8 = e1
% 172.19/26.48  | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | COMBINE_EQS: (153), (433) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | | |   (434)  all_58_24 = e1
% 172.19/26.48  | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | REDUCE: (115), (433) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | | |   (435)   ~ (all_52_9 = e1)
% 172.19/26.48  | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | SIMP: (435) implies:
% 172.19/26.48  | | | | | | | | | | | | | | | | |   (436)   ~ (all_52_9 = e1)
% 172.19/26.48  | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12), (14), (17), (21), (29), (30), (48),
% 172.19/26.48  | | | | | | | | | | | | | | | | |            (50), (52), (53), (60), (66), (67), (68), (79),
% 172.19/26.48  | | | | | | | | | | | | | | | | |            (84), (87), (88), (91), (99), (101), (104), (105),
% 172.19/26.48  | | | | | | | | | | | | | | | | |            (108), (111), (120), (122), (126), (130), (147),
% 172.19/26.48  | | | | | | | | | | | | | | | | |            (148), (151), (153), (165), (167), (168), (170),
% 172.19/26.48  | | | | | | | | | | | | | | | | |            (173), (178), (183), (186), (189), (194), (196),
% 172.19/26.48  | | | | | | | | | | | | | | | | |            (204), (206), (207), (208), (211), (213), (214),
% 172.19/26.48  | | | | | | | | | | | | | | | | |            (369), (374), (376), (379), (387), (390), (395),
% 172.19/26.48  | | | | | | | | | | | | | | | | |            (401), (405), (406), (407), (421), (431), (434),
% 172.19/26.48  | | | | | | | | | | | | | | | | |            (436) are inconsistent by sub-proof #253.
% 172.19/26.48  | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.48  | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | |   (437)   ~ (all_56_4 = e1)
% 172.19/26.48  | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | REDUCE: (130), (437) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | | |   (438)   ~ (all_52_8 = e1)
% 172.19/26.48  | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 172.19/26.48  | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | |   (439)  all_56_0 = e1
% 172.19/26.48  | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (66), (439) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | | | |   (440)  all_6_2 = e1
% 172.19/26.48  | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (14), (108), (111), (180), (376), (426),
% 172.19/26.48  | | | | | | | | | | | | | | | | | |            (440) are inconsistent by sub-proof #252.
% 172.19/26.48  | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | |   (441)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.19/26.48  | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | BETA: splitting (441) gives:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | |   (442)  all_56_1 = e1
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4), (442) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | |   (443)  all_52_4 = e1
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | REDUCE: (51), (443) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | |   (444)   ~ (all_52_6 = e1)
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | SIMP: (444) implies:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | |   (445)   ~ (all_52_6 = e1)
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | REDUCE: (166), (443) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | |   (446)   ~ (all_52_8 = e1)
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | BETA: splitting (74) gives:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | |   (447)  all_56_6 = e1
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (151), (447) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | |   (448)  all_52_2 = e1
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | | SIMP: (448) implies:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | |   (449)  all_52_2 = e1
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | | REDUCE: (173), (449) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | |   (450)   ~ (all_52_14 = e1)
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | | SIMP: (450) implies:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | |   (451)   ~ (all_52_14 = e1)
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (449) imply:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | |   (452)   ~ (all_6_2 = e1)
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | | SIMP: (452) implies:
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | |   (453)   ~ (all_6_2 = e1)
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.48  | | | | | | | | | | | | | | | | | | | | BETA: splitting (421) gives:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | |   (454)  all_58_30 = e1
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (68), (454) imply:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | |   (455)  all_52_14 = e1
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | REDUCE: (451), (455) imply:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | |   (456)  $false
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | CLOSE: (456) is inconsistent.
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | |   (457)  all_58_28 = e3 | all_58_29 = e2
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (457) gives:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | |   (458)  all_58_29 = e2
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (122), (458) imply:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | |   (459)  all_52_13 = e2
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (178), (459) imply:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | |   (460)  all_56_10 = e2
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (459) imply:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | |   (461)   ~ (all_52_9 = e2)
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (459) imply:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | |   (462)   ~ (all_14_2 = e2)
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | SIMP: (462) implies:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | |   (463)   ~ (all_14_2 = e2)
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | |   (464)  all_56_1 = e2
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (86), (120), (390), (442), (457), (458), (464) are
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #251.
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | |   (465)   ~ (all_56_1 = e2)
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | |   (466)  all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (442), (465) imply:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | |   (467)   ~ (e2 = e1)
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (104) gives:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | |   (468)  all_56_9 = e1
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (387), (468) imply:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | |   (469)  e1 = e0
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (186), (469) imply:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | |   (470)  $false
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (470) is inconsistent.
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | |   (471)   ~ (all_56_9 = e1)
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | |   (472)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (387), (471) imply:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | |   (473)   ~ (e1 = e0)
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (472) gives:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | |   (474)  all_56_10 = e1
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (86), (120), (390), (457), (458), (460), (474) are
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #250.
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | |   (475)  all_56_11 = e1 | all_56_15 = e1
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (466) gives:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | |   (476)  all_56_3 = e2
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (23), (38), (53), (87), (115), (148), (153),
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | |            (161), (168), (170), (178), (186), (191), (195),
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | |            (198), (201), (217), (374), (384), (410), (413),
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | |            (416), (431), (453), (461), (476) are inconsistent
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #325.
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | |   (477)  all_56_7 = e2 | all_56_13 = e2
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (12), (16), (17), (21), (27), (30),
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | |            (34), (36), (38), (50), (51), (52), (54), (55),
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (66), (68), (79), (82), (84), (87), (88),
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | |            (95), (101), (102), (103), (108), (111), (115),
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | |            (120), (130), (132), (138), (148), (151), (153),
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | |            (159), (168), (169), (171), (176), (180), (185),
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | |            (186), (188), (191), (197), (201), (206), (210),
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | |            (367), (369), (374), (376), (379), (387), (390),
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | |            (395), (398), (399), (401), (410), (431), (438),
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | |            (442), (447), (458), (460), (461), (463), (475),
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | |            (477) are inconsistent by sub-proof #249.
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | |   (478)  all_58_28 = e3
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (390), (478) are inconsistent by sub-proof
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | |            #857.
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | |   (479)  all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12), (14), (17), (21), (29), (30), (48),
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | |            (50), (52), (60), (66), (67), (68), (79), (84),
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | |            (86), (87), (88), (91), (99), (101), (104), (105),
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | |            (108), (111), (120), (122), (126), (130), (147),
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | |            (148), (151), (153), (165), (167), (168), (170),
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | |            (173), (178), (180), (183), (186), (188), (189),
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | |            (194), (196), (204), (206), (207), (208), (211),
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | |            (213), (214), (369), (374), (376), (379), (387),
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | |            (390), (395), (401), (405), (406), (407), (445),
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | |            (479) are inconsistent by sub-proof #248.
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | |   (480)  all_56_4 = e1 | all_56_9 = e1
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (130), (186), (387), (438), (480) are inconsistent
% 172.19/26.49  | | | | | | | | | | | | | | | | | | |            by sub-proof #753.
% 172.19/26.49  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.49  | | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | | End of split
% 172.19/26.49  | | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | | End of split
% 172.19/26.49  | | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | End of split
% 172.19/26.49  | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | End of split
% 172.19/26.49  | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | End of split
% 172.19/26.49  | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | End of split
% 172.19/26.49  | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | End of split
% 172.19/26.49  | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | End of split
% 172.19/26.49  | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | Case 2:
% 172.19/26.49  | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | |   (481)  all_56_14 = e0
% 172.19/26.49  | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | REF_CLOSE: (206), (214), (481) are inconsistent by sub-proof
% 172.19/26.49  | | | | | | | | | |            #317.
% 172.19/26.49  | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | End of split
% 172.19/26.49  | | | | | | | | | 
% 172.19/26.49  | | | | | | | | Case 2:
% 172.19/26.49  | | | | | | | | | 
% 172.19/26.49  | | | | | | | | |   (482)  all_56_10 = e0 | all_56_11 = e0
% 172.19/26.49  | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | REF_CLOSE: (60), (178), (183), (382), (482) are inconsistent
% 172.19/26.49  | | | | | | | | |            by sub-proof #414.
% 172.19/26.49  | | | | | | | | | 
% 172.19/26.49  | | | | | | | | End of split
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | End of split
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | Case 2:
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | |   (483)   ~ (all_56_2 = e0)
% 172.19/26.49  | | | | | | |   (484)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | | REDUCE: (119), (483) imply:
% 172.19/26.49  | | | | | | |   (485)   ~ (all_52_1 = e0)
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | | BETA: splitting (484) gives:
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | | Case 1:
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | |   (486)  all_56_3 = e0
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | | COMBINE_EQS: (159), (486) imply:
% 172.19/26.49  | | | | | | | |   (487)  all_4_2 = e0
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | | REDUCE: (367), (487) imply:
% 172.19/26.49  | | | | | | | |   (488)  $false
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | | CLOSE: (488) is inconsistent.
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | Case 2:
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | |   (489)  all_56_5 = e0 | all_56_10 = e0
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | | REF_CLOSE: (2), (4), (5), (8), (10), (12), (13), (14), (15),
% 172.19/26.49  | | | | | | | |            (16), (20), (21), (24), (25), (26), (27), (30), (33),
% 172.19/26.49  | | | | | | | |            (35), (36), (37), (42), (45), (48), (50), (51), (52),
% 172.19/26.49  | | | | | | | |            (53), (54), (55), (57), (58), (59), (60), (63), (64),
% 172.19/26.49  | | | | | | | |            (66), (67), (68), (72), (73), (75), (76), (79), (80),
% 172.19/26.49  | | | | | | | |            (83), (84), (86), (87), (88), (89), (92), (95),
% 172.19/26.49  | | | | | | | |            (100), (104), (105), (109), (110), (111), (112),
% 172.19/26.49  | | | | | | | |            (115), (119), (120), (121), (122), (124), (125),
% 172.19/26.49  | | | | | | | |            (128), (129), (130), (132), (136), (138), (139),
% 172.19/26.49  | | | | | | | |            (140), (142), (143), (145), (147), (148), (150),
% 172.19/26.49  | | | | | | | |            (151), (152), (153), (154), (156), (158), (159),
% 172.19/26.49  | | | | | | | |            (166), (167), (168), (170), (171), (176), (178),
% 172.19/26.49  | | | | | | | |            (179), (180), (181), (182), (184), (186), (188),
% 172.19/26.49  | | | | | | | |            (189), (193), (195), (196), (197), (204), (205),
% 172.19/26.49  | | | | | | | |            (206), (207), (208), (209), (210), (211), (213),
% 172.19/26.49  | | | | | | | |            (369), (485), (489) are inconsistent by sub-proof
% 172.19/26.49  | | | | | | | |            #241.
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | End of split
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | End of split
% 172.19/26.49  | | | | | | 
% 172.19/26.49  | | | | | End of split
% 172.19/26.49  | | | | | 
% 172.19/26.49  | | | | Case 2:
% 172.19/26.49  | | | | | 
% 172.19/26.49  | | | | |   (490)  all_42_2 = e0
% 172.19/26.49  | | | | | 
% 172.19/26.49  | | | | | COMBINE_EQS: (77), (490) imply:
% 172.19/26.49  | | | | |   (491)  all_6_2 = e0
% 172.19/26.49  | | | | | 
% 172.19/26.49  | | | | | SIMP: (491) implies:
% 172.19/26.49  | | | | |   (492)  all_6_2 = e0
% 172.19/26.49  | | | | | 
% 172.19/26.49  | | | | | REF_CLOSE: (1), (4), (5), (10), (12), (14), (16), (17), (21), (23),
% 172.19/26.49  | | | | |            (27), (29), (30), (34), (36), (37), (38), (40), (42), (44),
% 172.19/26.49  | | | | |            (46), (48), (50), (51), (52), (53), (57), (60), (63), (66),
% 172.19/26.49  | | | | |            (67), (68), (75), (76), (79), (80), (82), (83), (84), (85),
% 172.19/26.49  | | | | |            (86), (87), (89), (95), (99), (100), (101), (102), (103),
% 172.19/26.49  | | | | |            (104), (105), (107), (108), (110), (111), (112), (113),
% 172.19/26.49  | | | | |            (115), (116), (119), (120), (122), (123), (124), (125),
% 172.19/26.49  | | | | |            (126), (128), (130), (131), (132), (135), (136), (137),
% 172.19/26.49  | | | | |            (138), (140), (148), (149), (151), (152), (153), (154),
% 172.19/26.49  | | | | |            (156), (159), (160), (165), (166), (167), (168), (169),
% 172.19/26.49  | | | | |            (170), (171), (172), (173), (176), (178), (180), (181),
% 172.19/26.49  | | | | |            (184), (185), (186), (187), (188), (194), (196), (197),
% 172.19/26.49  | | | | |            (202), (205), (206), (207), (208), (209), (210), (211),
% 172.19/26.49  | | | | |            (213), (367), (492) are inconsistent by sub-proof #240.
% 172.19/26.49  | | | | | 
% 172.19/26.49  | | | | End of split
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | Case 2:
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | |   (493)  all_24_2 = e0
% 172.19/26.49  | | | |   (494)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3)
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | | COMBINE_EQS: (19), (493) imply:
% 172.19/26.49  | | | |   (495)  all_4_2 = e0
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | | SIMP: (495) implies:
% 172.19/26.49  | | | |   (496)  all_4_2 = e0
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | | COMBINE_EQS: (118), (496) imply:
% 172.19/26.49  | | | |   (497)  all_40_2 = e0
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | | COMBINE_EQS: (159), (496) imply:
% 172.19/26.49  | | | |   (498)  all_56_3 = e0
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | | COMBINE_EQS: (176), (496) imply:
% 172.19/26.49  | | | |   (499)  all_58_21 = e0
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | | REDUCE: (100), (496) imply:
% 172.19/26.49  | | | |   (500)   ~ (all_52_1 = e0)
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | | REDUCE: (129), (496) imply:
% 172.19/26.49  | | | |   (501)   ~ (all_52_7 = e0)
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | | REDUCE: (42), (496) imply:
% 172.19/26.49  | | | |   (502)   ~ (all_52_13 = e0)
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | | REDUCE: (117), (496) imply:
% 172.19/26.49  | | | |   (503)  op(all_4_1, e0) = all_4_0
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | | REDUCE: (73), (496) imply:
% 172.19/26.49  | | | |   (504)  op(e0, e2) = all_4_1
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | | GROUND_INST: instantiating (170) with all_52_7, all_4_1, e2, e0,
% 172.19/26.49  | | | |              simplifying with (32), (504) gives:
% 172.19/26.49  | | | |   (505)  all_52_7 = all_4_1
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | | COMBINE_EQS: (139), (505) imply:
% 172.19/26.49  | | | |   (506)  all_54_13 = all_4_1
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | | COMBINE_EQS: (112), (505) imply:
% 172.19/26.49  | | | |   (507)  all_56_13 = all_4_1
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | | COMBINE_EQS: (13), (505) imply:
% 172.19/26.49  | | | |   (508)  all_58_23 = all_4_1
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | | REDUCE: (37), (505) imply:
% 172.19/26.49  | | | |   (509)   ~ (all_52_3 = all_4_1)
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | | REDUCE: (85), (505) imply:
% 172.19/26.49  | | | |   (510)   ~ (all_52_4 = all_4_1)
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | | REDUCE: (63), (505) imply:
% 172.19/26.49  | | | |   (511)   ~ (all_52_6 = all_4_1)
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | | REDUCE: (94), (505) imply:
% 172.19/26.49  | | | |   (512)   ~ (all_14_2 = all_4_1)
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | | SIMP: (512) implies:
% 172.19/26.49  | | | |   (513)   ~ (all_14_2 = all_4_1)
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | | REDUCE: (209), (505) imply:
% 172.19/26.49  | | | |   (514)   ~ (all_10_1 = all_4_1)
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | | SIMP: (514) implies:
% 172.19/26.49  | | | |   (515)   ~ (all_10_1 = all_4_1)
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | | BETA: splitting (81) gives:
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | | Case 1:
% 172.19/26.49  | | | | | 
% 172.19/26.49  | | | | |   (516)   ~ (all_40_2 = e0)
% 172.19/26.49  | | | | | 
% 172.19/26.49  | | | | | REDUCE: (497), (516) imply:
% 172.19/26.49  | | | | |   (517)  $false
% 172.19/26.49  | | | | | 
% 172.19/26.49  | | | | | CLOSE: (517) is inconsistent.
% 172.19/26.49  | | | | | 
% 172.19/26.49  | | | | Case 2:
% 172.19/26.49  | | | | | 
% 172.19/26.49  | | | | |   (518)   ~ (all_40_0 = e3) |  ~ (all_40_1 = e1)
% 172.19/26.49  | | | | | 
% 172.19/26.49  | | | | | BETA: splitting (78) gives:
% 172.19/26.49  | | | | | 
% 172.19/26.49  | | | | | Case 1:
% 172.19/26.49  | | | | | | 
% 172.19/26.49  | | | | | |   (519)   ~ (all_42_2 = e0)
% 172.19/26.49  | | | | | | 
% 172.19/26.49  | | | | | | REDUCE: (77), (519) imply:
% 172.19/26.49  | | | | | |   (520)   ~ (all_6_2 = e0)
% 172.19/26.49  | | | | | | 
% 172.19/26.49  | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12),
% 172.19/26.49  | | | | | |            (14), (15), (23), (24), (30), (34), (38), (40), (41),
% 172.19/26.49  | | | | | |            (45), (46), (47), (48), (50), (51), (52), (53), (55),
% 172.19/26.49  | | | | | |            (56), (57), (59), (60), (62), (66), (67), (68), (76),
% 172.19/26.49  | | | | | |            (80), (82), (84), (86), (87), (88), (92), (98), (99),
% 172.19/26.49  | | | | | |            (101), (102), (103), (104), (105), (106), (107), (108),
% 172.19/26.49  | | | | | |            (109), (111), (115), (116), (119), (120), (121), (122),
% 172.19/26.49  | | | | | |            (123), (125), (127), (128), (130), (132), (133), (135),
% 172.19/26.49  | | | | | |            (138), (142), (143), (145), (147), (148), (149), (151),
% 172.19/26.49  | | | | | |            (152), (153), (154), (156), (158), (160), (161), (165),
% 172.19/26.49  | | | | | |            (166), (167), (168), (169), (170), (171), (173), (178),
% 172.19/26.49  | | | | | |            (179), (180), (181), (183), (184), (185), (186), (187),
% 172.19/26.49  | | | | | |            (188), (189), (194), (196), (197), (198), (199), (200),
% 172.19/26.49  | | | | | |            (201), (202), (206), (207), (208), (210), (211), (498),
% 172.19/26.49  | | | | | |            (499), (500), (502), (507), (508), (509), (510), (511),
% 172.19/26.49  | | | | | |            (515), (520) are inconsistent by sub-proof #259.
% 172.19/26.49  | | | | | | 
% 172.19/26.49  | | | | | Case 2:
% 172.19/26.49  | | | | | | 
% 172.19/26.49  | | | | | |   (521)  all_42_2 = e0
% 172.19/26.49  | | | | | | 
% 172.19/26.49  | | | | | | COMBINE_EQS: (77), (521) imply:
% 172.19/26.49  | | | | | |   (522)  all_6_2 = e0
% 172.19/26.49  | | | | | | 
% 172.19/26.49  | | | | | | SIMP: (522) implies:
% 172.19/26.49  | | | | | |   (523)  all_6_2 = e0
% 172.19/26.49  | | | | | | 
% 172.19/26.49  | | | | | | COMBINE_EQS: (66), (523) imply:
% 172.19/26.49  | | | | | |   (524)  all_56_0 = e0
% 172.19/26.49  | | | | | | 
% 172.19/26.49  | | | | | | COMBINE_EQS: (111), (523) imply:
% 172.19/26.49  | | | | | |   (525)  all_58_16 = e0
% 172.19/26.49  | | | | | | 
% 172.19/26.49  | | | | | | REDUCE: (54), (523) imply:
% 172.19/26.49  | | | | | |   (526)   ~ (all_52_3 = e0)
% 172.19/26.49  | | | | | | 
% 172.19/26.49  | | | | | | REDUCE: (116), (523) imply:
% 172.19/26.49  | | | | | |   (527)   ~ (all_52_4 = e0)
% 172.19/26.49  | | | | | | 
% 172.19/26.49  | | | | | | REDUCE: (23), (523) imply:
% 172.19/26.49  | | | | | |   (528)  op(e0, e3) = all_6_1
% 172.19/26.49  | | | | | | 
% 172.19/26.49  | | | | | | BETA: splitting (6) gives:
% 172.19/26.49  | | | | | | 
% 172.19/26.49  | | | | | | Case 1:
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | |   (529)  all_56_15 = e0
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | | COMBINE_EQS: (30), (529) imply:
% 172.19/26.49  | | | | | | |   (530)  all_14_2 = e0
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | | SIMP: (530) implies:
% 172.19/26.49  | | | | | | |   (531)  all_14_2 = e0
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | | REDUCE: (213), (531) imply:
% 172.19/26.49  | | | | | | |   (532)   ~ (all_10_1 = e0)
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | | REDUCE: (513), (531) imply:
% 172.19/26.49  | | | | | | |   (533)   ~ (all_4_1 = e0)
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | | GROUND_INST: instantiating (170) with all_52_3, all_6_1, e3, e0,
% 172.19/26.49  | | | | | | |              simplifying with (113), (528) gives:
% 172.19/26.49  | | | | | | |   (534)  all_52_3 = all_6_1
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | | COMBINE_EQS: (79), (534) imply:
% 172.19/26.49  | | | | | | |   (535)  all_58_19 = all_6_1
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | | REF_CLOSE: (4), (12), (17), (21), (29), (51), (55), (58), (60),
% 172.19/26.49  | | | | | | |            (64), (65), (67), (70), (76), (80), (82), (84), (86),
% 172.19/26.49  | | | | | | |            (87), (88), (92), (97), (104), (108), (119), (120),
% 172.19/26.49  | | | | | | |            (121), (123), (125), (130), (138), (145), (151), (152),
% 172.19/26.49  | | | | | | |            (153), (156), (160), (162), (166), (168), (170), (171),
% 172.19/26.49  | | | | | | |            (177), (180), (182), (185), (186), (188), (190), (206),
% 172.19/26.49  | | | | | | |            (207), (214), (217), (494), (498), (499), (500), (503),
% 172.19/26.49  | | | | | | |            (506), (507), (508), (510), (511), (515), (518), (524),
% 172.19/26.49  | | | | | | |            (525), (527), (535) are inconsistent by sub-proof #257.
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | Case 2:
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | |   (536)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 172.19/26.49  | | | | | | |          (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0)
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | | ALPHA: (536) implies:
% 172.19/26.49  | | | | | | |   (537)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | | BETA: splitting (537) gives:
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | | Case 1:
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | |   (538)  all_56_12 = e0
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | | REF_CLOSE: (5), (526), (538) are inconsistent by sub-proof #919.
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | Case 2:
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | |   (539)  all_56_13 = e0 | all_56_14 = e0
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | | REF_CLOSE: (112), (206), (214), (501), (539) are inconsistent by
% 172.19/26.49  | | | | | | | |            sub-proof #316.
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | End of split
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | End of split
% 172.19/26.49  | | | | | | 
% 172.19/26.49  | | | | | End of split
% 172.19/26.49  | | | | | 
% 172.19/26.49  | | | | End of split
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | End of split
% 172.19/26.49  | | | 
% 172.19/26.49  | | End of split
% 172.19/26.49  | | 
% 172.19/26.49  | Case 2:
% 172.19/26.49  | | 
% 172.19/26.49  | |   (540)  all_12_1 = e0
% 172.19/26.49  | | 
% 172.19/26.49  | | COMBINE_EQS: (144), (540) imply:
% 172.19/26.49  | |   (541)  all_6_1 = e0
% 172.19/26.49  | | 
% 172.19/26.49  | | COMBINE_EQS: (11), (541) imply:
% 172.19/26.49  | |   (542)  all_26_1 = e0
% 172.19/26.49  | | 
% 172.19/26.49  | | REDUCE: (56), (541) imply:
% 172.19/26.49  | |   (543)  op(e0, all_6_2) = all_6_0
% 172.19/26.49  | | 
% 172.19/26.49  | | REDUCE: (23), (541) imply:
% 172.19/26.49  | |   (544)  op(all_6_2, e3) = e0
% 172.19/26.49  | | 
% 172.19/26.49  | | BETA: splitting (61) gives:
% 172.19/26.49  | | 
% 172.19/26.49  | | Case 1:
% 172.19/26.49  | | | 
% 172.19/26.49  | | |   (545)   ~ (all_14_0 = e1)
% 172.19/26.49  | | | 
% 172.19/26.49  | | | BETA: splitting (175) gives:
% 172.19/26.49  | | | 
% 172.19/26.49  | | | Case 1:
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | |   (546)   ~ (all_24_2 = e0)
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | | REDUCE: (19), (546) imply:
% 172.19/26.49  | | | |   (547)   ~ (all_4_2 = e0)
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | | BETA: splitting (192) gives:
% 172.19/26.49  | | | | 
% 172.19/26.49  | | | | Case 1:
% 172.19/26.49  | | | | | 
% 172.19/26.49  | | | | |   (548)   ~ (all_26_1 = e0)
% 172.19/26.49  | | | | | 
% 172.19/26.49  | | | | | REDUCE: (542), (548) imply:
% 172.19/26.49  | | | | |   (549)  $false
% 172.19/26.49  | | | | | 
% 172.19/26.49  | | | | | CLOSE: (549) is inconsistent.
% 172.19/26.49  | | | | | 
% 172.19/26.49  | | | | Case 2:
% 172.19/26.49  | | | | | 
% 172.19/26.49  | | | | |   (550)   ~ (all_26_0 = e1) |  ~ (all_26_2 = e2)
% 172.19/26.49  | | | | | 
% 172.19/26.49  | | | | | BETA: splitting (6) gives:
% 172.19/26.49  | | | | | 
% 172.19/26.49  | | | | | Case 1:
% 172.19/26.49  | | | | | | 
% 172.19/26.49  | | | | | |   (551)  all_56_15 = e0
% 172.19/26.49  | | | | | | 
% 172.19/26.49  | | | | | | COMBINE_EQS: (30), (551) imply:
% 172.19/26.49  | | | | | |   (552)  all_14_2 = e0
% 172.19/26.49  | | | | | | 
% 172.19/26.49  | | | | | | SIMP: (552) implies:
% 172.19/26.49  | | | | | |   (553)  all_14_2 = e0
% 172.19/26.49  | | | | | | 
% 172.19/26.49  | | | | | | REDUCE: (94), (553) imply:
% 172.19/26.49  | | | | | |   (554)   ~ (all_52_7 = e0)
% 172.19/26.49  | | | | | | 
% 172.19/26.49  | | | | | | REDUCE: (99), (553) imply:
% 172.19/26.49  | | | | | |   (555)   ~ (all_52_13 = e0)
% 172.19/26.49  | | | | | | 
% 172.19/26.49  | | | | | | REDUCE: (213), (553) imply:
% 172.19/26.49  | | | | | |   (556)   ~ (all_10_1 = e0)
% 172.19/26.49  | | | | | | 
% 172.19/26.49  | | | | | | REDUCE: (134), (553) imply:
% 172.19/26.49  | | | | | |   (557)  op(all_14_1, e0) = all_14_0
% 172.19/26.49  | | | | | | 
% 172.19/26.49  | | | | | | REDUCE: (157), (553) imply:
% 172.19/26.49  | | | | | |   (558)  op(e0, e0) = all_14_1
% 172.19/26.49  | | | | | | 
% 172.19/26.49  | | | | | | REDUCE: (174), (553) imply:
% 172.19/26.49  | | | | | |   (559)  op(e0, e0) = all_58_15
% 172.19/26.49  | | | | | | 
% 172.19/26.49  | | | | | | REDUCE: (2), (553) imply:
% 172.19/26.49  | | | | | |   (560)  op(e0, e0) = e0
% 172.19/26.49  | | | | | | 
% 172.19/26.49  | | | | | | BETA: splitting (131) gives:
% 172.19/26.49  | | | | | | 
% 172.19/26.49  | | | | | | Case 1:
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | |   (561)  all_56_2 = e0
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | | COMBINE_EQS: (119), (561) imply:
% 172.19/26.49  | | | | | | |   (562)  all_52_1 = e0
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | | COMBINE_EQS: (76), (562) imply:
% 172.19/26.49  | | | | | | |   (563)  all_58_17 = e0
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | | REDUCE: (123), (562) imply:
% 172.19/26.49  | | | | | | |   (564)   ~ (all_52_2 = e0)
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | | REDUCE: (181), (562) imply:
% 172.19/26.49  | | | | | | |   (565)   ~ (all_52_3 = e0)
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | | SIMP: (565) implies:
% 172.19/26.49  | | | | | | |   (566)   ~ (all_52_3 = e0)
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | | REDUCE: (152), (562) imply:
% 172.19/26.49  | | | | | | |   (567)   ~ (all_52_9 = e0)
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | | REDUCE: (100), (562) imply:
% 172.19/26.49  | | | | | | |   (568)   ~ (all_4_2 = e0)
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | | BETA: splitting (110) gives:
% 172.19/26.49  | | | | | | | 
% 172.19/26.49  | | | | | | | Case 1:
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | |   (569)  all_56_1 = e0
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | | COMBINE_EQS: (4), (569) imply:
% 172.19/26.49  | | | | | | | |   (570)  all_52_4 = e0
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | | COMBINE_EQS: (138), (570) imply:
% 172.19/26.49  | | | | | | | |   (571)  all_58_20 = e0
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | | REDUCE: (51), (570) imply:
% 172.19/26.49  | | | | | | | |   (572)   ~ (all_52_6 = e0)
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | | REDUCE: (85), (570) imply:
% 172.19/26.49  | | | | | | | |   (573)   ~ (all_52_7 = e0)
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | | REDUCE: (166), (570) imply:
% 172.19/26.49  | | | | | | | |   (574)   ~ (all_52_8 = e0)
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | | REDUCE: (158), (570) imply:
% 172.19/26.49  | | | | | | | |   (575)   ~ (all_52_12 = e0)
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | | SIMP: (575) implies:
% 172.19/26.49  | | | | | | | |   (576)   ~ (all_52_12 = e0)
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | | REDUCE: (116), (570) imply:
% 172.19/26.49  | | | | | | | |   (577)   ~ (all_6_2 = e0)
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | | SIMP: (577) implies:
% 172.19/26.49  | | | | | | | |   (578)   ~ (all_6_2 = e0)
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | | REDUCE: (72), (570) imply:
% 172.19/26.49  | | | | | | | |   (579)  op(e3, e2) = e0
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | | GROUND_INST: instantiating (170) with all_14_1, all_58_15, e0,
% 172.19/26.49  | | | | | | | |              e0, simplifying with (558), (559) gives:
% 172.19/26.49  | | | | | | | |   (580)  all_58_15 = all_14_1
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | | GROUND_INST: instantiating (170) with e0, all_58_15, e0, e0,
% 172.19/26.49  | | | | | | | |              simplifying with (559), (560) gives:
% 172.19/26.49  | | | | | | | |   (581)  all_58_15 = e0
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | | COMBINE_EQS: (580), (581) imply:
% 172.19/26.49  | | | | | | | |   (582)  all_14_1 = e0
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | | SIMP: (582) implies:
% 172.19/26.49  | | | | | | | |   (583)  all_14_1 = e0
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | | REDUCE: (557), (583) imply:
% 172.19/26.49  | | | | | | | |   (584)  op(e0, e0) = all_14_0
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | | GROUND_INST: instantiating (170) with e0, all_14_0, e0, e0,
% 172.19/26.49  | | | | | | | |              simplifying with (560), (584) gives:
% 172.19/26.49  | | | | | | | |   (585)  all_14_0 = e0
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | | REDUCE: (545), (585) imply:
% 172.19/26.49  | | | | | | | |   (586)   ~ (e1 = e0)
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | | BETA: splitting (40) gives:
% 172.19/26.49  | | | | | | | | 
% 172.19/26.49  | | | | | | | | Case 1:
% 172.19/26.49  | | | | | | | | | 
% 172.19/26.49  | | | | | | | | |   (587)  all_54_6 = e0
% 172.19/26.49  | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | REF_CLOSE: (38), (50), (587) are inconsistent by sub-proof
% 172.19/26.49  | | | | | | | | |            #901.
% 172.19/26.49  | | | | | | | | | 
% 172.19/26.49  | | | | | | | | Case 2:
% 172.19/26.49  | | | | | | | | | 
% 172.19/26.49  | | | | | | | | |   (588)   ~ (all_54_6 = e0)
% 172.19/26.49  | | | | | | | | |   (589)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 172.19/26.49  | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | BETA: splitting (83) gives:
% 172.19/26.49  | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | Case 1:
% 172.19/26.49  | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | |   (590)  all_54_14 = e0
% 172.19/26.49  | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | COMBINE_EQS: (205), (590) imply:
% 172.19/26.49  | | | | | | | | | |   (591)  all_10_1 = e0
% 172.19/26.49  | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | REDUCE: (214), (591) imply:
% 172.19/26.49  | | | | | | | | | |   (592)  $false
% 172.19/26.49  | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | CLOSE: (592) is inconsistent.
% 172.19/26.49  | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | Case 2:
% 172.19/26.49  | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | |   (593)   ~ (all_54_14 = e0)
% 172.19/26.49  | | | | | | | | | |   (594)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 172.19/26.49  | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | BETA: splitting (143) gives:
% 172.19/26.49  | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | Case 1:
% 172.19/26.49  | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | |   (595)  all_54_2 = e0
% 172.19/26.49  | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | REF_CLOSE: (59), (191), (595) are inconsistent by sub-proof
% 172.19/26.49  | | | | | | | | | | |            #763.
% 172.19/26.49  | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | Case 2:
% 172.19/26.49  | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | |   (596)   ~ (all_54_2 = e0)
% 172.19/26.49  | | | | | | | | | | |   (597)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1
% 172.19/26.49  | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | BETA: splitting (182) gives:
% 172.19/26.49  | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | Case 1:
% 172.19/26.49  | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | |   (598)  all_54_13 = e0
% 172.19/26.49  | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | REF_CLOSE: (139), (554), (598) are inconsistent by sub-proof
% 172.19/26.49  | | | | | | | | | | | |            #800.
% 172.19/26.49  | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | Case 2:
% 172.19/26.49  | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | |   (599)   ~ (all_54_13 = e0)
% 172.19/26.49  | | | | | | | | | | | |   (600)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 172.19/26.49  | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | BETA: splitting (35) gives:
% 172.19/26.49  | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | Case 1:
% 172.19/26.49  | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | |   (601)  all_54_3 = e0
% 172.19/26.49  | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | REF_CLOSE: (20), (576), (601) are inconsistent by sub-proof
% 172.19/26.49  | | | | | | | | | | | | |            #898.
% 172.19/26.49  | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | Case 2:
% 172.19/26.49  | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | |   (602)   ~ (all_54_3 = e0)
% 172.19/26.49  | | | | | | | | | | | | |   (603)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 172.19/26.49  | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | BETA: splitting (67) gives:
% 172.19/26.49  | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | Case 1:
% 172.19/26.49  | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | |   (604)  all_58_27 = e0
% 172.19/26.49  | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | COMBINE_EQS: (207), (604) imply:
% 172.19/26.49  | | | | | | | | | | | | | |   (605)  all_10_1 = e0
% 172.19/26.49  | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | REDUCE: (214), (605) imply:
% 172.19/26.49  | | | | | | | | | | | | | |   (606)  $false
% 172.19/26.49  | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | CLOSE: (606) is inconsistent.
% 172.19/26.49  | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | Case 2:
% 172.19/26.49  | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | |   (607)   ~ (all_58_27 = e0)
% 172.19/26.49  | | | | | | | | | | | | | |   (608)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.19/26.49  | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | BETA: splitting (17) gives:
% 172.19/26.49  | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | Case 1:
% 172.19/26.49  | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | |   (609)  all_58_19 = e0
% 172.19/26.49  | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | COMBINE_EQS: (79), (609) imply:
% 172.19/26.49  | | | | | | | | | | | | | | |   (610)  all_52_3 = e0
% 172.19/26.49  | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | REDUCE: (566), (610) imply:
% 172.19/26.49  | | | | | | | | | | | | | | |   (611)  $false
% 172.19/26.49  | | | | | | | | | | | | | | | 
% 172.19/26.49  | | | | | | | | | | | | | | | CLOSE: (611) is inconsistent.
% 172.19/26.49  | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | |   (612)   ~ (all_58_19 = e0)
% 172.19/26.50  | | | | | | | | | | | | | | |   (613)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | BETA: splitting (145) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | |   (614)  all_58_23 = e0
% 172.19/26.50  | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | COMBINE_EQS: (13), (614) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | |   (615)  all_52_7 = e0
% 172.19/26.50  | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | REDUCE: (554), (615) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | |   (616)  $false
% 172.19/26.50  | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | CLOSE: (616) is inconsistent.
% 172.19/26.50  | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | |   (617)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | BETA: splitting (104) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | |   (618)  all_56_9 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | COMBINE_EQS: (80), (618) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | |   (619)  all_52_12 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | REDUCE: (10), (619) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | |   (620)   ~ (all_52_8 = e1)
% 172.19/26.50  | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | BETA: splitting (95) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | |   (621)  all_56_0 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (66), (621) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | |   (622)  all_6_2 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | SIMP: (622) implies:
% 172.19/26.50  | | | | | | | | | | | | | | | | | |   (623)  all_6_2 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (96), (623) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | |   (624)  all_26_2 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (111), (623) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | |   (625)  all_58_16 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | REDUCE: (54), (623) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | |   (626)   ~ (all_52_3 = e2)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | REDUCE: (148), (623) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | |   (627)   ~ (all_52_8 = e2)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | REDUCE: (543), (623) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | |   (628)  op(e0, e2) = all_6_0
% 172.19/26.50  | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | BETA: splitting (550) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | |   (629)   ~ (all_26_0 = e1)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | REDUCE: (49), (629) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | |   (630)   ~ (all_6_0 = e1)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | BETA: splitting (597) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | |   (631)  all_54_2 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (620), (631) are inconsistent by sub-proof
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | |            #762.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | |   (632)   ~ (all_54_2 = e1)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | |   (633)  all_54_2 = e3 | all_54_2 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | BETA: splitting (633) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | |   (634)  all_54_2 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (627), (634) are inconsistent by sub-proof
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | |            #692.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | |   (635)  all_54_2 = e3
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (59), (635) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | |   (636)  all_52_8 = e3
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | SIMP: (636) implies:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | |   (637)  all_52_8 = e3
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (130), (637) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | |   (638)  all_56_4 = e3
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (153), (637) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | |   (639)  all_58_24 = e3
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | REDUCE: (115), (637) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | |   (640)   ~ (all_52_9 = e3)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | SIMP: (640) implies:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | |   (641)   ~ (all_52_9 = e3)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (613) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | |   (642)  all_58_18 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (108), (642) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | |   (643)  all_52_2 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (151), (643) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | |   (644)  all_56_6 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (82), (643) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | |   (645)   ~ (all_52_6 = e1)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | SIMP: (645) implies:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | |   (646)   ~ (all_52_6 = e1)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (44) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | |   (647)  all_56_0 = e3
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (621), (647) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | |   (648)  e3 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (648) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | |   (649)  $false
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (649) is inconsistent.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | |   (650)  all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (650) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | |   (651)  all_56_2 = e3
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (561), (651) are inconsistent by sub-proof
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | |            #699.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | |   (652)  all_56_6 = e3 | all_56_12 = e3
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (652) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (653)  all_56_6 = e3
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (644), (653) are inconsistent by sub-proof
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | |            #726.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (654)  all_56_12 = e3
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5), (654) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (655)  all_52_3 = e3
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (655) implies:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (656)  all_52_3 = e3
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (656) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (657)   ~ (all_52_7 = e3)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (657) implies:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (658)   ~ (all_52_7 = e3)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (617) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (659)  all_58_22 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (156), (659) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (660)  all_52_6 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (646), (660) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (661)  $false
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (661) is inconsistent.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (662)  all_58_20 = e3 | all_58_21 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (662) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (663)  all_58_21 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (176), (663) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (664)  all_4_2 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (664) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (665)   ~ (all_52_9 = e2)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (666)  all_56_4 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (638), (666) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (667)  e3 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (639), (667) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (668)  all_58_24 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (84), (87), (168), (186), (608), (665), (668) are
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #419.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (669)  all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (589) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (670)  all_54_6 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (38), (670) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (671)  all_52_9 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (671) implies:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (672)  all_52_9 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21), (672) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (673)  all_56_5 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (665), (672) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (674)   ~ (e2 = e1)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (669) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (675)  all_56_5 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (86), (673), (675) are inconsistent by sub-proof
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #830.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (676)  all_56_8 = e2 | all_56_14 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (676) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (677)  all_56_8 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (88), (180), (677) are inconsistent by sub-proof
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #258.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (678)  all_56_14 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (206), (678) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (679)  all_10_1 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (679) implies:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (680)  all_10_1 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (209), (680) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (681)   ~ (all_52_7 = e2)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (215), (680) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (682)  op(e0, e2) = all_58_14
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (600) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (683)  all_54_13 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (139), (683) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (684)  all_52_7 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (684) implies:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (685)  all_52_7 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (32), (685) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (686)  op(e0, e2) = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (170) with all_6_0, all_58_14, e2,
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, simplifying with (628), (682) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (687)  all_58_14 = all_6_0
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (170) with e1, all_58_14, e2, e0,
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (682), (686) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (688)  all_58_14 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (688) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (689)  all_6_0 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (689) implies:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (690)  all_6_0 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (630), (690) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (691)  $false
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (691) is inconsistent.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (692)  all_54_13 = e3 | all_54_13 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (139), (658), (681), (692) are inconsistent by
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #770.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (693)  all_54_6 = e3 | all_54_6 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (641), (665), (693) are inconsistent by
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #884.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (694)  all_58_20 = e3
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (571), (694) are inconsistent by sub-proof
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #948.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | |   (695)  all_58_16 = e3 | all_58_17 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (84), (180), (563), (625), (695) are inconsistent
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #705.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | |   (696)   ~ (all_26_2 = e2)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | REDUCE: (624), (696) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | |   (697)  $false
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | CLOSE: (697) is inconsistent.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | |   (698)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | REF_CLOSE: (84), (86), (87), (115), (130), (153), (168),
% 172.19/26.50  | | | | | | | | | | | | | | | | | |            (180), (186), (569), (608), (618), (698) are
% 172.19/26.50  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #416.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | |   (699)   ~ (all_56_9 = e1)
% 172.19/26.50  | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | REDUCE: (80), (699) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | |   (700)   ~ (all_52_12 = e1)
% 172.19/26.50  | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | |   (701)  all_56_0 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (66), (701) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | |   (702)  all_6_2 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | SIMP: (702) implies:
% 172.19/26.50  | | | | | | | | | | | | | | | | | |   (703)  all_6_2 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (14), (108), (111), (180), (563), (613),
% 172.19/26.50  | | | | | | | | | | | | | | | | | |            (703) are inconsistent by sub-proof #252.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | |   (704)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | BETA: splitting (704) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | |   (705)  all_56_1 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (569), (705) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | |   (706)  e1 = e0
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | REDUCE: (186), (706) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | |   (707)  $false
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | CLOSE: (707) is inconsistent.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | |   (708)  all_56_4 = e1 | all_56_9 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | BETA: splitting (708) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | |   (709)  all_56_4 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (130), (709) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | |   (710)  all_52_8 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (153), (710) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | |   (711)  all_58_24 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | REDUCE: (115), (710) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | |   (712)   ~ (all_52_9 = e1)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | SIMP: (712) implies:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | |   (713)   ~ (all_52_9 = e1)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | REDUCE: (210), (710) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | |   (714)   ~ (all_10_1 = e1)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | SIMP: (714) implies:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | |   (715)   ~ (all_10_1 = e1)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | BETA: splitting (608) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | |   (716)  all_58_26 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (87), (186), (716) are inconsistent by sub-proof
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | |            #312.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | |   (717)  all_58_24 = e3 | all_58_25 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (717) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | |   (718)  all_58_25 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (168), (718) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | |   (719)  all_52_9 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (211), (719) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | |   (720)   ~ (all_10_1 = e2)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | SIMP: (720) implies:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | |   (721)   ~ (all_10_1 = e2)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (719) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | |   (722)   ~ (all_4_2 = e2)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | SIMP: (722) implies:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | |   (723)   ~ (all_4_2 = e2)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (594) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | |   (724)  all_54_14 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (205), (715), (724) are inconsistent by sub-proof
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | |            #281.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | |   (725)   ~ (all_54_14 = e1)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | |   (726)  all_54_14 = e3 | all_54_14 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (726) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | |   (727)  all_54_14 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (205), (721), (727) are inconsistent by sub-proof
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | |            #273.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | |   (728)  all_54_14 = e3
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (205), (728) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | |   (729)  all_10_1 = e3
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (729) implies:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | |   (730)  all_10_1 = e3
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (209), (730) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | |   (731)   ~ (all_52_7 = e3)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (617) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (732)  all_58_22 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (156), (732) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (733)  all_52_6 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (188), (733) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (734)  all_56_7 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (82), (733) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (735)   ~ (all_52_2 = e1)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (124) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (736)  all_56_1 = e3
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (569), (736) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (737)  e3 = e0
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (737) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (738)  $false
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (738) is inconsistent.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (739)  all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (739) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (740)  all_56_3 = e3
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (159), (740) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (741)  all_4_2 = e3
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (73), (741) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (742)  op(e3, e2) = all_4_1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (613) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (743)  all_58_18 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (108), (743) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (744)  all_52_2 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (735), (744) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (745)  $false
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (745) is inconsistent.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (746)  all_58_16 = e3 | all_58_17 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (746) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (747)  all_58_17 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (180), (563), (747) are inconsistent by sub-proof
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #981.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (748)  all_58_16 = e3
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (749)   ~ (all_58_17 = e2)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (111), (748) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (750)  all_6_2 = e3
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (66), (750) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (751)  all_56_0 = e3
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (749) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (752)   ~ (e2 = e0)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (750) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (753)   ~ (all_52_12 = e3)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (95) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (754)  all_56_0 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (84), (180), (563), (746), (748), (751), (754) are
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #444.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (755)   ~ (all_56_0 = e2)
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (756)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (603) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (757)  all_54_3 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20), (757) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (758)  all_52_12 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (758) implies:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (759)  all_52_12 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (80), (759) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (760)  all_56_9 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (84), (86), (87), (115), (130), (153), (168),
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (180), (186), (569), (608), (756), (760) are
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #416.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (761)  all_54_3 = e3 | all_54_3 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (761) gives:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (762)  all_54_3 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20), (762) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (763)  all_52_12 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (763) implies:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (764)  all_52_12 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (764) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (765)  op(e3, e2) = all_58_3
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (64), (170), (579), (742), (765) are inconsistent
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #975.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (766)  all_54_3 = e3
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (753), (766) are inconsistent by sub-proof
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #892.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (767)  all_56_7 = e3 | all_56_13 = e3
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (112), (731), (734), (767) are inconsistent
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #738.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (768)  all_58_20 = e3 | all_58_21 = e2
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (176), (571), (723), (768) are inconsistent
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #974.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | |   (769)  all_58_24 = e3
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (711), (769) are inconsistent by sub-proof
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | |            #254.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | |   (770)  all_56_9 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (80), (770) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | |   (771)  all_52_12 = e1
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | REDUCE: (700), (771) imply:
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | |   (772)  $false
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | CLOSE: (772) is inconsistent.
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | | 
% 172.19/26.50  | | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | | 
% 172.19/26.50  | | | | | | | | End of split
% 172.19/26.50  | | | | | | | | 
% 172.19/26.50  | | | | | | | Case 2:
% 172.19/26.50  | | | | | | | | 
% 172.19/26.50  | | | | | | | |   (773)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.19/26.50  | | | | | | | | 
% 172.19/26.50  | | | | | | | | REF_CLOSE: (112), (159), (171), (188), (547), (554), (773) are
% 172.19/26.50  | | | | | | | |            inconsistent by sub-proof #940.
% 172.19/26.50  | | | | | | | | 
% 172.19/26.50  | | | | | | | End of split
% 172.19/26.50  | | | | | | | 
% 172.19/26.50  | | | | | | Case 2:
% 172.19/26.50  | | | | | | | 
% 172.19/26.50  | | | | | | |   (774)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.19/26.50  | | | | | | | 
% 172.19/26.50  | | | | | | | REF_CLOSE: (21), (50), (159), (178), (547), (555), (774) are
% 172.19/26.50  | | | | | | |            inconsistent by sub-proof #695.
% 172.19/26.50  | | | | | | | 
% 172.19/26.50  | | | | | | End of split
% 172.19/26.50  | | | | | | 
% 172.19/26.50  | | | | | Case 2:
% 172.19/26.50  | | | | | | 
% 172.19/26.50  | | | | | |   (775)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 172.19/26.50  | | | | | |          (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0)
% 172.19/26.50  | | | | | | 
% 172.19/26.50  | | | | | | REF_CLOSE: (2), (4), (5), (8), (10), (12), (13), (14), (15), (16),
% 172.19/26.50  | | | | | |            (17), (20), (21), (24), (25), (26), (27), (29), (30),
% 172.19/26.50  | | | | | |            (33), (34), (35), (36), (37), (38), (40), (42), (45),
% 172.19/26.50  | | | | | |            (47), (48), (50), (51), (52), (53), (54), (55), (57),
% 172.19/26.50  | | | | | |            (58), (59), (60), (63), (64), (66), (67), (68), (72),
% 172.19/26.50  | | | | | |            (73), (74), (75), (76), (79), (80), (82), (83), (84),
% 172.19/26.50  | | | | | |            (85), (86), (87), (88), (89), (91), (92), (94), (95),
% 172.19/26.50  | | | | | |            (99), (100), (101), (102), (103), (104), (105), (108),
% 172.19/26.50  | | | | | |            (109), (110), (111), (112), (113), (114), (115), (119),
% 172.19/26.50  | | | | | |            (120), (121), (122), (123), (124), (125), (126), (128),
% 172.19/26.50  | | | | | |            (129), (130), (131), (132), (135), (136), (138), (139),
% 172.19/26.50  | | | | | |            (140), (142), (143), (145), (147), (148), (150), (151),
% 172.19/26.50  | | | | | |            (152), (153), (154), (156), (158), (159), (160), (165),
% 172.19/26.50  | | | | | |            (166), (167), (168), (169), (170), (171), (173), (176),
% 172.19/26.50  | | | | | |            (178), (179), (180), (181), (182), (183), (184), (185),
% 172.19/26.50  | | | | | |            (186), (188), (189), (190), (193), (194), (195), (196),
% 172.19/26.50  | | | | | |            (197), (201), (202), (204), (205), (206), (207), (208),
% 172.19/26.50  | | | | | |            (209), (210), (211), (213), (544), (547), (775) are
% 172.19/26.50  | | | | | |            inconsistent by sub-proof #238.
% 172.19/26.50  | | | | | | 
% 172.19/26.50  | | | | | End of split
% 172.19/26.50  | | | | | 
% 172.19/26.50  | | | | End of split
% 172.19/26.50  | | | | 
% 172.19/26.50  | | | Case 2:
% 172.19/26.50  | | | | 
% 172.19/26.50  | | | |   (776)  all_24_2 = e0
% 172.19/26.50  | | | |   (777)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3)
% 172.19/26.50  | | | | 
% 172.19/26.50  | | | | COMBINE_EQS: (19), (776) imply:
% 172.19/26.50  | | | |   (778)  all_4_2 = e0
% 172.19/26.50  | | | | 
% 172.19/26.50  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12),
% 172.19/26.50  | | | |            (13), (14), (15), (17), (21), (23), (24), (27), (28), (29),
% 172.19/26.50  | | | |            (30), (32), (34), (36), (37), (38), (40), (41), (42), (45),
% 172.19/26.50  | | | |            (46), (47), (48), (51), (52), (53), (54), (55), (56), (57),
% 172.19/26.50  | | | |            (58), (59), (60), (62), (63), (65), (66), (67), (68), (70),
% 172.19/26.50  | | | |            (73), (76), (77), (78), (79), (80), (81), (82), (84), (85),
% 172.19/26.50  | | | |            (86), (87), (88), (92), (94), (97), (98), (99), (100), (101),
% 172.19/26.50  | | | |            (102), (103), (104), (105), (106), (107), (108), (109),
% 172.19/26.50  | | | |            (111), (112), (113), (115), (116), (117), (118), (119),
% 172.19/26.50  | | | |            (120), (121), (122), (123), (125), (127), (128), (129),
% 172.19/26.50  | | | |            (130), (132), (133), (134), (135), (138), (139), (142),
% 172.19/26.50  | | | |            (143), (145), (147), (148), (149), (151), (152), (153),
% 172.19/26.50  | | | |            (154), (156), (157), (158), (159), (160), (161), (162),
% 172.19/26.50  | | | |            (165), (166), (167), (168), (169), (170), (173), (174),
% 172.19/26.50  | | | |            (176), (177), (178), (179), (180), (181), (182), (183),
% 172.19/26.50  | | | |            (184), (185), (186), (187), (188), (189), (190), (194),
% 172.19/26.50  | | | |            (196), (197), (198), (199), (200), (201), (202), (206),
% 172.19/26.50  | | | |            (207), (208), (209), (210), (211), (213), (214), (545),
% 172.19/26.50  | | | |            (777), (778) are inconsistent by sub-proof #256.
% 172.19/26.50  | | | | 
% 172.19/26.50  | | | End of split
% 172.19/26.50  | | | 
% 172.19/26.50  | | Case 2:
% 172.19/26.50  | | | 
% 172.19/26.50  | | |   (779)  all_14_0 = e1
% 172.19/26.50  | | | 
% 172.19/26.50  | | | REDUCE: (134), (779) imply:
% 172.19/26.50  | | |   (780)  op(all_14_1, all_14_2) = e1
% 172.19/26.50  | | | 
% 172.19/26.50  | | | BETA: splitting (175) gives:
% 172.19/26.50  | | | 
% 172.19/26.50  | | | Case 1:
% 172.19/26.50  | | | | 
% 172.19/26.50  | | | |   (781)   ~ (all_24_2 = e0)
% 172.19/26.50  | | | | 
% 172.19/26.50  | | | | REDUCE: (19), (781) imply:
% 172.19/26.50  | | | |   (782)   ~ (all_4_2 = e0)
% 172.19/26.50  | | | | 
% 172.19/26.50  | | | | BETA: splitting (6) gives:
% 172.19/26.50  | | | | 
% 172.19/26.50  | | | | Case 1:
% 172.19/26.50  | | | | | 
% 172.19/26.50  | | | | |   (783)  all_56_15 = e0
% 172.19/26.50  | | | | | 
% 172.19/26.50  | | | | | REF_CLOSE: (2), (30), (157), (170), (174), (186), (780), (783) are
% 172.19/26.50  | | | | |            inconsistent by sub-proof #400.
% 172.19/26.50  | | | | | 
% 172.19/26.50  | | | | Case 2:
% 172.19/26.50  | | | | | 
% 172.19/26.50  | | | | |   (784)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 172.19/26.50  | | | | |          (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0)
% 172.19/26.50  | | | | | 
% 172.19/26.50  | | | | | REF_CLOSE: (2), (4), (5), (8), (10), (12), (13), (14), (15), (16),
% 172.19/26.50  | | | | |            (17), (20), (21), (24), (25), (26), (27), (29), (30), (33),
% 172.19/26.50  | | | | |            (34), (35), (36), (37), (38), (40), (42), (45), (47), (48),
% 172.19/26.50  | | | | |            (50), (51), (52), (53), (54), (55), (57), (58), (59), (60),
% 172.19/26.50  | | | | |            (63), (64), (66), (67), (68), (72), (73), (74), (75), (76),
% 172.19/26.50  | | | | |            (79), (80), (82), (83), (84), (85), (86), (87), (88), (89),
% 172.19/26.50  | | | | |            (91), (92), (94), (95), (99), (100), (101), (102), (103),
% 172.19/26.50  | | | | |            (104), (105), (108), (109), (110), (111), (112), (113),
% 172.19/26.50  | | | | |            (114), (115), (119), (120), (121), (122), (123), (124),
% 172.19/26.50  | | | | |            (125), (126), (128), (129), (130), (131), (132), (135),
% 172.19/26.50  | | | | |            (136), (138), (139), (140), (142), (143), (145), (147),
% 172.19/26.50  | | | | |            (148), (150), (151), (152), (153), (154), (156), (158),
% 172.19/26.50  | | | | |            (159), (160), (165), (166), (167), (168), (169), (170),
% 172.19/26.51  | | | | |            (171), (173), (176), (178), (179), (180), (181), (182),
% 172.19/26.51  | | | | |            (183), (184), (185), (186), (188), (189), (190), (193),
% 172.19/26.51  | | | | |            (194), (195), (196), (197), (201), (202), (204), (205),
% 172.19/26.51  | | | | |            (206), (207), (208), (209), (210), (211), (213), (544),
% 172.19/26.51  | | | | |            (782), (784) are inconsistent by sub-proof #238.
% 172.19/26.51  | | | | | 
% 172.19/26.51  | | | | End of split
% 172.19/26.51  | | | | 
% 172.19/26.51  | | | Case 2:
% 172.19/26.51  | | | | 
% 172.19/26.51  | | | |   (785)  all_24_2 = e0
% 172.19/26.51  | | | | 
% 172.19/26.51  | | | | COMBINE_EQS: (19), (785) imply:
% 172.19/26.51  | | | |   (786)  all_4_2 = e0
% 172.19/26.51  | | | | 
% 172.19/26.51  | | | | SIMP: (786) implies:
% 172.19/26.51  | | | |   (787)  all_4_2 = e0
% 172.19/26.51  | | | | 
% 172.19/26.51  | | | | COMBINE_EQS: (159), (787) imply:
% 172.19/26.51  | | | |   (788)  all_56_3 = e0
% 172.19/26.51  | | | | 
% 172.19/26.51  | | | | COMBINE_EQS: (176), (787) imply:
% 172.19/26.51  | | | |   (789)  all_58_21 = e0
% 172.19/26.51  | | | | 
% 172.19/26.51  | | | | REDUCE: (129), (787) imply:
% 172.19/26.51  | | | |   (790)   ~ (all_52_7 = e0)
% 172.19/26.51  | | | | 
% 172.19/26.51  | | | | REDUCE: (42), (787) imply:
% 172.19/26.51  | | | |   (791)   ~ (all_52_13 = e0)
% 172.19/26.51  | | | | 
% 172.19/26.51  | | | | REDUCE: (73), (787) imply:
% 172.19/26.51  | | | |   (792)  op(e0, e2) = all_4_1
% 172.19/26.51  | | | | 
% 172.19/26.51  | | | | GROUND_INST: instantiating (170) with all_52_7, all_4_1, e2, e0,
% 172.19/26.51  | | | |              simplifying with (32), (792) gives:
% 172.19/26.51  | | | |   (793)  all_52_7 = all_4_1
% 172.19/26.51  | | | | 
% 172.19/26.51  | | | | COMBINE_EQS: (112), (793) imply:
% 172.19/26.51  | | | |   (794)  all_56_13 = all_4_1
% 172.19/26.51  | | | | 
% 172.19/26.51  | | | | COMBINE_EQS: (13), (793) imply:
% 172.19/26.51  | | | |   (795)  all_58_23 = all_4_1
% 172.19/26.51  | | | | 
% 172.19/26.51  | | | | REDUCE: (37), (793) imply:
% 172.19/26.51  | | | |   (796)   ~ (all_52_3 = all_4_1)
% 172.19/26.51  | | | | 
% 172.19/26.51  | | | | REDUCE: (85), (793) imply:
% 172.19/26.51  | | | |   (797)   ~ (all_52_4 = all_4_1)
% 172.19/26.51  | | | | 
% 172.19/26.51  | | | | REDUCE: (63), (793) imply:
% 172.19/26.51  | | | |   (798)   ~ (all_52_6 = all_4_1)
% 172.19/26.51  | | | | 
% 172.19/26.51  | | | | REDUCE: (209), (793) imply:
% 172.19/26.51  | | | |   (799)   ~ (all_10_1 = all_4_1)
% 172.19/26.51  | | | | 
% 172.19/26.51  | | | | SIMP: (799) implies:
% 172.19/26.51  | | | |   (800)   ~ (all_10_1 = all_4_1)
% 172.19/26.51  | | | | 
% 172.19/26.51  | | | | BETA: splitting (6) gives:
% 172.19/26.51  | | | | 
% 172.19/26.51  | | | | Case 1:
% 172.19/26.51  | | | | | 
% 172.19/26.51  | | | | |   (801)  all_56_15 = e0
% 172.19/26.51  | | | | | 
% 172.19/26.51  | | | | | REF_CLOSE: (2), (30), (157), (170), (174), (186), (780), (801) are
% 172.19/26.51  | | | | |            inconsistent by sub-proof #400.
% 172.19/26.51  | | | | | 
% 172.19/26.51  | | | | Case 2:
% 172.19/26.51  | | | | | 
% 172.19/26.51  | | | | |   (802)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 172.19/26.51  | | | | |          (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0)
% 172.19/26.51  | | | | | 
% 172.19/26.51  | | | | | ALPHA: (802) implies:
% 172.19/26.51  | | | | |   (803)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 172.19/26.51  | | | | |   (804)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 172.19/26.51  | | | | | 
% 172.19/26.51  | | | | | BETA: splitting (803) gives:
% 172.19/26.51  | | | | | 
% 172.19/26.51  | | | | | Case 1:
% 172.19/26.51  | | | | | | 
% 172.19/26.51  | | | | | |   (805)  all_56_12 = e0
% 172.19/26.51  | | | | | | 
% 172.19/26.51  | | | | | | COMBINE_EQS: (5), (805) imply:
% 172.19/26.51  | | | | | |   (806)  all_52_3 = e0
% 172.19/26.51  | | | | | | 
% 172.19/26.51  | | | | | | SIMP: (806) implies:
% 172.19/26.51  | | | | | |   (807)  all_52_3 = e0
% 172.19/26.51  | | | | | | 
% 172.19/26.51  | | | | | | REDUCE: (181), (807) imply:
% 172.19/26.51  | | | | | |   (808)   ~ (all_52_1 = e0)
% 172.19/26.51  | | | | | | 
% 172.19/26.51  | | | | | | REDUCE: (208), (807) imply:
% 172.19/26.51  | | | | | |   (809)   ~ (all_10_1 = e0)
% 172.19/26.51  | | | | | | 
% 172.19/26.51  | | | | | | REDUCE: (796), (807) imply:
% 172.19/26.51  | | | | | |   (810)   ~ (all_4_1 = e0)
% 172.19/26.51  | | | | | | 
% 172.19/26.51  | | | | | | REDUCE: (45), (807) imply:
% 172.19/26.51  | | | | | |   (811)  op(e0, e0) = all_58_12
% 172.19/26.51  | | | | | | 
% 172.23/26.51  | | | | | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (10), (12), (14),
% 172.23/26.51  | | | | | |            (23), (24), (30), (34), (38), (40), (41), (46), (47),
% 172.23/26.51  | | | | | |            (48), (50), (51), (52), (53), (55), (56), (57), (59),
% 172.23/26.51  | | | | | |            (60), (62), (64), (66), (67), (68), (76), (80), (82),
% 172.23/26.51  | | | | | |            (84), (86), (87), (88), (92), (98), (99), (101), (102),
% 172.23/26.51  | | | | | |            (103), (104), (105), (106), (107), (108), (109), (111),
% 172.23/26.51  | | | | | |            (115), (116), (119), (120), (121), (122), (123), (125),
% 172.23/26.51  | | | | | |            (127), (128), (130), (132), (133), (135), (138), (143),
% 172.23/26.51  | | | | | |            (145), (147), (148), (149), (151), (152), (153), (154),
% 172.23/26.51  | | | | | |            (156), (158), (160), (161), (166), (167), (168), (169),
% 172.23/26.51  | | | | | |            (170), (171), (173), (178), (179), (180), (183), (184),
% 172.23/26.51  | | | | | |            (185), (186), (187), (188), (189), (194), (196), (197),
% 172.23/26.51  | | | | | |            (198), (199), (200), (201), (202), (206), (207), (210),
% 172.23/26.51  | | | | | |            (211), (214), (788), (789), (791), (794), (795), (797),
% 172.23/26.51  | | | | | |            (798), (800), (804), (805), (808), (811) are inconsistent
% 172.23/26.51  | | | | | |            by sub-proof #260.
% 172.23/26.51  | | | | | | 
% 172.23/26.51  | | | | | Case 2:
% 172.23/26.51  | | | | | | 
% 172.23/26.51  | | | | | |   (812)  all_56_13 = e0 | all_56_14 = e0
% 172.23/26.51  | | | | | | 
% 172.23/26.51  | | | | | | REF_CLOSE: (112), (206), (214), (790), (812) are inconsistent by
% 172.23/26.51  | | | | | |            sub-proof #316.
% 172.23/26.51  | | | | | | 
% 172.23/26.51  | | | | | End of split
% 172.23/26.51  | | | | | 
% 172.23/26.51  | | | | End of split
% 172.23/26.51  | | | | 
% 172.23/26.51  | | | End of split
% 172.23/26.51  | | | 
% 172.23/26.51  | | End of split
% 172.23/26.51  | | 
% 172.23/26.51  | End of split
% 172.23/26.51  | 
% 172.23/26.51  End of proof
% 172.23/26.51  
% 172.23/26.51  Sub-proof #238 shows that the following formulas are inconsistent:
% 172.23/26.51  ----------------------------------------------------------------
% 172.23/26.51    (1)  op(e0, e0) = all_14_2
% 172.23/26.51    (2)  all_56_1 = all_52_4
% 172.23/26.51    (3)  all_56_12 = all_52_3
% 172.23/26.51    (4)  op(e3, all_52_12) = all_58_3
% 172.23/26.51    (5)   ~ (all_52_8 = all_52_12)
% 172.23/26.51    (6)   ~ (e3 = e1)
% 172.23/26.51    (7)  all_58_23 = all_52_7
% 172.23/26.51    (8)   ~ (all_52_2 = all_6_2)
% 172.23/26.51    (9)   ~ (all_52_3 = all_14_2)
% 172.23/26.51    (10)   ~ (all_52_4 = all_4_2)
% 172.23/26.51    (11)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.23/26.51    (12)  all_54_3 = all_52_12
% 172.23/26.51    (13)  all_56_5 = all_52_9
% 172.23/26.51    (14)  all_58_10 = all_52_14
% 172.23/26.51    (15)   ~ (all_52_12 = all_6_2)
% 172.23/26.51    (16)  op(e2, e0) = all_52_13
% 172.23/26.51    (17)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 172.23/26.51    (18)   ~ (all_52_6 = all_4_2)
% 172.23/26.51    (19)  op(e1, e0) = all_52_14
% 172.23/26.51    (20)  all_56_15 = all_14_2
% 172.23/26.51    (21)  op(e3, all_52_4) = all_58_1
% 172.23/26.51    (22)  all_54_1 = all_52_4
% 172.23/26.51    (23)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 172.23/26.51    (24)   ~ (all_52_9 = all_4_2)
% 172.23/26.51    (25)   ~ (all_52_3 = all_52_7)
% 172.23/26.51    (26)  all_54_6 = all_52_9
% 172.23/26.51    (27)   ~ (all_52_7 = all_10_1)
% 172.23/26.51    (28)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 172.23/26.51    (29)   ~ (all_52_13 = all_4_2)
% 172.23/26.51    (30)  op(e0, all_52_3) = all_58_12
% 172.23/26.51    (31)  op(e2, all_52_1) = all_58_4
% 172.23/26.51    (32)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.23/26.51    (33)   ~ (all_52_9 = e0)
% 172.23/26.51    (34)   ~ (all_52_4 = all_52_6)
% 172.23/26.51    (35)  all_58_31 = all_14_2
% 172.23/26.51    (36)   ~ (all_52_9 = all_52_13)
% 172.23/26.51    (37)   ~ (all_52_3 = all_6_2)
% 172.23/26.51    (38)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.23/26.51    (39)   ~ (all_52_1 = all_6_2)
% 172.23/26.51    (40)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) & (all_56_12 = e0 |
% 172.23/26.51            all_56_13 = e0 | all_56_14 = e0)
% 172.23/26.51    (41)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 172.23/26.51    (42)  all_54_2 = all_52_8
% 172.23/26.51    (43)  all_56_11 = all_52_14
% 172.23/26.51    (44)   ~ (all_52_6 = all_52_7)
% 172.23/26.51    (45)   ~ (all_4_1 = e0)
% 172.23/26.51    (46)  all_56_0 = all_6_2
% 172.23/26.51    (47)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.23/26.51    (48)  all_58_30 = all_52_14
% 172.23/26.51    (49)  op(e3, e2) = all_52_4
% 172.23/26.51    (50)  op(all_4_2, e2) = all_4_1
% 172.23/26.51    (51)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 172.23/26.51    (52)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.23/26.51    (53)  all_58_17 = all_52_1
% 172.23/26.51    (54)  all_56_14 = all_10_1
% 172.23/26.51    (55)  all_58_19 = all_52_3
% 172.23/26.51    (56)  all_56_9 = all_52_12
% 172.23/26.51    (57)   ~ (all_52_2 = all_52_6)
% 172.23/26.51    (58)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 172.23/26.51    (59)   ~ (e3 = e2)
% 172.23/26.51    (60)   ~ (all_52_4 = all_52_7)
% 172.23/26.51    (61)   ~ (e2 = e1)
% 172.23/26.51    (62)  all_58_26 = e0
% 172.23/26.51    (63)  all_56_8 = e0
% 172.23/26.51    (64)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 172.23/26.51    (65)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.23/26.51    (66)   ~ (all_52_2 = e0)
% 172.23/26.51    (67)   ~ (all_52_7 = all_14_2)
% 172.23/26.51    (68)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.23/26.51    (69)   ~ (all_52_13 = all_14_2)
% 172.23/26.51    (70)   ~ (all_52_1 = all_4_2)
% 172.23/26.51    (71)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.23/26.51    (72)  all_54_14 = all_10_1
% 172.23/26.51    (73)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.23/26.51    (74)  all_54_9 = all_52_6
% 172.23/26.51    (75)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.23/26.51    (76)   ~ (all_52_13 = all_52_14)
% 172.23/26.51    (77)  all_58_18 = all_52_2
% 172.23/26.51    (78)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.23/26.51    (79)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.23/26.51    (80)  all_58_16 = all_6_2
% 172.23/26.51    (81)  all_56_13 = all_52_7
% 172.23/26.51    (82)  op(e0, e3) = all_52_3
% 172.23/26.51    (83)  op(e0, all_52_7) = all_58_13
% 172.23/26.51    (84)   ~ (all_52_8 = all_52_9)
% 172.23/26.51    (85)  all_56_2 = all_52_1
% 172.23/26.51    (86)   ~ (all_52_8 = all_10_1)
% 172.23/26.51    (87)   ~ (e3 = e0)
% 172.23/26.51    (88)  op(e3, e0) = all_52_12
% 172.23/26.51    (89)  all_58_29 = all_52_13
% 172.23/26.51    (90)   ~ (all_52_1 = all_52_2)
% 172.23/26.51    (91)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 172.23/26.51    (92)   ~ (all_4_2 = e0)
% 172.23/26.51    (93)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.23/26.51    (94)  op(all_10_1, e0) = all_10_0
% 172.23/26.51    (95)   ~ (all_52_6 = all_52_14)
% 172.23/26.51    (96)   ~ (all_52_7 = all_4_2)
% 172.23/26.51    (97)  all_56_4 = all_52_8
% 172.23/26.51    (98)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.23/26.51    (99)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.23/26.51    (100)   ~ (all_52_9 = all_10_1)
% 172.23/26.51    (101)   ~ (all_52_1 = all_52_13)
% 172.23/26.51    (102)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.23/26.51    (103)  all_58_20 = all_52_4
% 172.23/26.51    (104)  all_54_13 = all_52_7
% 172.23/26.51    (105)  all_54_15 = all_14_2
% 172.23/26.51    (106)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.23/26.51    (107)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 172.23/26.51    (108)   ~ (all_14_2 = all_10_1)
% 172.23/26.51    (109)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.23/26.51    (110)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 172.23/26.51    (111)   ~ (all_52_8 = all_6_2)
% 172.23/26.51    (112)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 172.23/26.51    (113)  all_56_6 = all_52_2
% 172.23/26.51    (114)   ~ (all_52_1 = all_52_9)
% 172.23/26.51    (115)  all_58_24 = all_52_8
% 172.23/26.51    (116)   ~ (all_52_12 = all_52_14)
% 172.23/26.51    (117)  all_58_22 = all_52_6
% 172.23/26.51    (118)   ~ (all_52_4 = all_52_12)
% 172.23/26.51    (119)  all_56_3 = all_4_2
% 172.23/26.51    (120)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.23/26.51    (121)  all_58_27 = all_10_1
% 172.23/26.51    (122)   ~ (all_52_2 = all_52_3)
% 172.23/26.51    (123)   ~ (all_52_4 = all_52_8)
% 172.23/26.51    (124)   ~ (all_52_14 = all_14_2)
% 172.23/26.51    (125)  all_58_25 = all_52_9
% 172.23/26.51    (126)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 172.23/26.51    (127)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.23/26.51             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.23/26.51    (128)   ~ (all_52_6 = e0)
% 172.23/26.51    (129)   ~ (all_52_2 = all_52_14)
% 172.23/26.51    (130)  all_58_21 = all_4_2
% 172.23/26.51    (131)  all_56_10 = all_52_13
% 172.23/26.51    (132)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.23/26.51    (133)   ~ (e2 = e0)
% 172.23/26.51    (134)   ~ (all_52_1 = all_52_3)
% 172.23/26.51    (135)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 172.23/26.51    (136)   ~ (all_52_3 = all_10_1)
% 172.23/26.51    (137)   ~ (all_52_14 = e0)
% 172.23/26.51    (138)  all_58_28 = all_52_12
% 172.23/26.51    (139)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.23/26.51    (140)   ~ (e1 = e0)
% 172.23/26.51    (141)  op(all_6_2, e3) = e0
% 172.23/26.51    (142)  all_56_7 = all_52_6
% 172.23/26.51    (143)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.23/26.51             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.23/26.51             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.23/26.51             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.23/26.51             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.23/26.51             (all_58_15 = e0))
% 172.23/26.51    (144)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 172.23/26.51    (145)  all_54_5 = all_4_2
% 172.23/26.51    (146)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.23/26.51    (147)  op(e2, all_52_13) = all_58_7
% 172.23/26.51    (148)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 172.23/26.51    (149)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.23/26.51           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.23/26.51           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.23/26.51           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.23/26.51           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.23/26.51           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.23/26.51           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.23/26.51           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.23/26.51           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.23/26.51           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.23/26.51             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.23/26.51             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.23/26.51             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.23/26.51             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.23/26.51             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.23/26.51             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.23/26.51             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.23/26.51             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.23/26.51             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.23/26.51             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.23/26.51             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.23/26.51             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.23/26.51             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.23/26.51             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.23/26.51             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.23/26.51             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.23/26.51           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.23/26.51           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.23/26.51           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.23/26.51             all_58_30 = e0 & e1 = e0)
% 172.23/26.51    (150)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.23/26.51    (151)   ~ (all_52_12 = all_52_13)
% 172.23/26.51  
% 172.23/26.51  Begin of proof
% 172.23/26.51  | 
% 172.23/26.51  | ALPHA: (40) implies:
% 172.23/26.51  |   (152)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 172.23/26.51  | 
% 172.23/26.51  | BETA: splitting (98) gives:
% 172.23/26.51  | 
% 172.23/26.51  | Case 1:
% 172.23/26.51  | | 
% 172.23/26.51  | |   (153)  all_56_2 = e0
% 172.23/26.51  | | 
% 172.23/26.51  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (13), (14),
% 172.23/26.51  | |            (15), (16), (18), (19), (20), (22), (24), (25), (26), (27), (28),
% 172.23/26.51  | |            (29), (31), (32), (34), (35), (36), (37), (38), (43), (44), (46),
% 172.23/26.51  | |            (47), (48), (51), (53), (54), (55), (56), (57), (59), (60), (61),
% 172.23/26.51  | |            (62), (63), (65), (67), (68), (69), (70), (71), (73), (74), (75),
% 172.23/26.51  | |            (76), (77), (79), (80), (81), (83), (84), (85), (86), (87), (88),
% 172.23/26.51  | |            (89), (90), (94), (96), (97), (99), (100), (101), (102), (103),
% 172.23/26.51  | |            (108), (110), (111), (113), (114), (115), (116), (118), (119),
% 172.23/26.51  | |            (120), (121), (122), (123), (124), (125), (126), (127), (128),
% 172.23/26.51  | |            (129), (130), (131), (133), (136), (137), (138), (139), (140),
% 172.23/26.51  | |            (142), (143), (144), (146), (148), (149), (150), (151), (152),
% 172.23/26.51  | |            (153) are inconsistent by sub-proof #239.
% 172.23/26.51  | | 
% 172.23/26.51  | Case 2:
% 172.23/26.51  | | 
% 172.23/26.51  | |   (154)   ~ (all_56_2 = e0)
% 172.23/26.51  | |   (155)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.23/26.51  | | 
% 172.23/26.51  | | REDUCE: (85), (154) imply:
% 172.23/26.51  | |   (156)   ~ (all_52_1 = e0)
% 172.23/26.51  | | 
% 172.23/26.51  | | BETA: splitting (155) gives:
% 172.23/26.51  | | 
% 172.23/26.51  | | Case 1:
% 172.23/26.51  | | | 
% 172.23/26.51  | | |   (157)  all_56_3 = e0
% 172.23/26.51  | | | 
% 172.23/26.51  | | | COMBINE_EQS: (119), (157) imply:
% 172.23/26.51  | | |   (158)  all_4_2 = e0
% 172.23/26.51  | | | 
% 172.23/26.51  | | | REDUCE: (92), (158) imply:
% 172.23/26.51  | | |   (159)  $false
% 172.23/26.51  | | | 
% 172.23/26.51  | | | CLOSE: (159) is inconsistent.
% 172.23/26.51  | | | 
% 172.23/26.51  | | Case 2:
% 172.23/26.51  | | | 
% 172.23/26.51  | | |   (160)  all_56_5 = e0 | all_56_10 = e0
% 172.23/26.51  | | | 
% 172.23/26.51  | | | BETA: splitting (112) gives:
% 172.23/26.51  | | | 
% 172.23/26.51  | | | Case 1:
% 172.23/26.51  | | | | 
% 172.23/26.51  | | | |   (161)  all_56_0 = e0
% 172.23/26.51  | | | | 
% 172.23/26.51  | | | | COMBINE_EQS: (46), (161) imply:
% 172.23/26.51  | | | |   (162)  all_6_2 = e0
% 172.23/26.51  | | | | 
% 172.23/26.51  | | | | REF_CLOSE: (37), (82), (127), (141), (162) are inconsistent by sub-proof
% 172.23/26.51  | | | |            #357.
% 172.23/26.51  | | | | 
% 172.23/26.51  | | | Case 2:
% 172.23/26.51  | | | | 
% 172.23/26.51  | | | |   (163)   ~ (all_56_0 = e0)
% 172.23/26.51  | | | | 
% 172.23/26.51  | | | | REDUCE: (46), (163) imply:
% 172.23/26.51  | | | |   (164)   ~ (all_6_2 = e0)
% 172.23/26.51  | | | | 
% 172.23/26.51  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12),
% 172.23/26.51  | | | |            (13), (14), (15), (16), (17), (18), (20), (21), (23), (24),
% 172.23/26.51  | | | |            (25), (27), (29), (30), (32), (33), (34), (35), (36), (37),
% 172.23/26.51  | | | |            (38), (39), (41), (42), (43), (44), (45), (46), (47), (48),
% 172.23/26.51  | | | |            (49), (50), (52), (53), (54), (55), (56), (58), (59), (61),
% 172.23/26.51  | | | |            (62), (63), (64), (66), (68), (70), (72), (75), (76), (78),
% 172.23/26.51  | | | |            (79), (80), (81), (84), (85), (86), (87), (88), (89), (91),
% 172.23/26.51  | | | |            (93), (95), (96), (97), (99), (100), (102), (103), (104),
% 172.23/26.51  | | | |            (105), (106), (107), (108), (109), (110), (111), (112),
% 172.23/26.51  | | | |            (113), (114), (115), (116), (117), (118), (119), (121),
% 172.23/26.51  | | | |            (123), (124), (125), (127), (128), (130), (131), (132),
% 172.23/26.51  | | | |            (133), (134), (135), (136), (138), (140), (142), (143),
% 172.23/26.51  | | | |            (145), (147), (148), (149), (156), (160), (164) are
% 172.23/26.51  | | | |            inconsistent by sub-proof #241.
% 172.23/26.51  | | | | 
% 172.23/26.51  | | | End of split
% 172.23/26.51  | | | 
% 172.23/26.51  | | End of split
% 172.23/26.51  | | 
% 172.23/26.51  | End of split
% 172.23/26.51  | 
% 172.23/26.51  End of proof
% 172.23/26.51  
% 172.23/26.51  Sub-proof #239 shows that the following formulas are inconsistent:
% 172.23/26.51  ----------------------------------------------------------------
% 172.23/26.51    (1)  op(e0, e0) = all_14_2
% 172.23/26.51    (2)  all_56_1 = all_52_4
% 172.23/26.51    (3)  all_56_12 = all_52_3
% 172.23/26.51    (4)  op(e3, all_52_12) = all_58_3
% 172.23/26.51    (5)   ~ (all_52_8 = all_52_12)
% 172.23/26.51    (6)   ~ (e3 = e1)
% 172.23/26.51    (7)  all_58_23 = all_52_7
% 172.23/26.51    (8)   ~ (all_52_2 = all_6_2)
% 172.23/26.51    (9)   ~ (all_52_4 = all_4_2)
% 172.23/26.51    (10)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.23/26.51    (11)  all_56_5 = all_52_9
% 172.23/26.51    (12)  all_58_10 = all_52_14
% 172.23/26.51    (13)   ~ (all_52_12 = all_6_2)
% 172.23/26.51    (14)  op(e2, e0) = all_52_13
% 172.23/26.51    (15)   ~ (all_52_6 = all_4_2)
% 172.23/26.51    (16)  op(e1, e0) = all_52_14
% 172.23/26.51    (17)  all_56_15 = all_14_2
% 172.23/26.51    (18)  all_54_1 = all_52_4
% 172.23/26.51    (19)   ~ (all_52_9 = all_4_2)
% 172.23/26.51    (20)   ~ (all_52_3 = all_52_7)
% 172.23/26.51    (21)  all_54_6 = all_52_9
% 172.23/26.51    (22)   ~ (all_52_7 = all_10_1)
% 172.23/26.51    (23)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 172.23/26.51    (24)   ~ (all_52_13 = all_4_2)
% 172.23/26.51    (25)  op(e2, all_52_1) = all_58_4
% 172.23/26.51    (26)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.23/26.51    (27)   ~ (all_52_4 = all_52_6)
% 172.23/26.51    (28)  all_58_31 = all_14_2
% 172.23/26.51    (29)   ~ (all_52_9 = all_52_13)
% 172.23/26.51    (30)   ~ (all_52_3 = all_6_2)
% 172.23/26.51    (31)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.23/26.51    (32)  all_56_11 = all_52_14
% 172.23/26.51    (33)   ~ (all_52_6 = all_52_7)
% 172.23/26.51    (34)  all_56_0 = all_6_2
% 172.23/26.51    (35)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.23/26.51    (36)  all_58_30 = all_52_14
% 172.23/26.51    (37)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 172.23/26.51    (38)  all_58_17 = all_52_1
% 172.23/26.51    (39)  all_56_14 = all_10_1
% 172.23/26.51    (40)  all_58_19 = all_52_3
% 172.23/26.51    (41)  all_56_9 = all_52_12
% 172.23/26.51    (42)   ~ (all_52_2 = all_52_6)
% 172.23/26.51    (43)  all_56_2 = e0
% 172.23/26.51    (44)   ~ (e3 = e2)
% 172.23/26.51    (45)   ~ (all_52_4 = all_52_7)
% 172.23/26.51    (46)   ~ (e2 = e1)
% 172.23/26.51    (47)  all_58_26 = e0
% 172.23/26.51    (48)  all_56_8 = e0
% 172.23/26.51    (49)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.23/26.51    (50)   ~ (all_52_7 = all_14_2)
% 172.23/26.51    (51)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.23/26.51    (52)   ~ (all_52_13 = all_14_2)
% 172.23/26.51    (53)   ~ (all_52_1 = all_4_2)
% 172.23/26.51    (54)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.23/26.51    (55)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.23/26.51    (56)  all_54_9 = all_52_6
% 172.23/26.51    (57)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.23/26.51    (58)   ~ (all_52_13 = all_52_14)
% 172.23/26.51    (59)  all_58_18 = all_52_2
% 172.23/26.51    (60)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.23/26.51    (61)  all_58_16 = all_6_2
% 172.23/26.51    (62)  all_56_13 = all_52_7
% 172.23/26.51    (63)  op(e0, all_52_7) = all_58_13
% 172.23/26.51    (64)   ~ (all_52_8 = all_52_9)
% 172.23/26.51    (65)  all_56_2 = all_52_1
% 172.23/26.51    (66)   ~ (all_52_8 = all_10_1)
% 172.23/26.51    (67)   ~ (e3 = e0)
% 172.23/26.51    (68)  op(e3, e0) = all_52_12
% 172.23/26.51    (69)  all_58_29 = all_52_13
% 172.23/26.51    (70)   ~ (all_52_1 = all_52_2)
% 172.23/26.51    (71)  op(all_10_1, e0) = all_10_0
% 172.23/26.51    (72)   ~ (all_52_7 = all_4_2)
% 172.23/26.51    (73)  all_56_4 = all_52_8
% 172.23/26.51    (74)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.23/26.51    (75)   ~ (all_52_9 = all_10_1)
% 172.23/26.51    (76)   ~ (all_52_1 = all_52_13)
% 172.23/26.51    (77)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.23/26.51    (78)  all_58_20 = all_52_4
% 172.23/26.51    (79)   ~ (all_14_2 = all_10_1)
% 172.23/26.51    (80)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 172.23/26.51    (81)   ~ (all_52_8 = all_6_2)
% 172.23/26.51    (82)  all_56_6 = all_52_2
% 172.23/26.51    (83)   ~ (all_52_1 = all_52_9)
% 172.23/26.51    (84)  all_58_24 = all_52_8
% 172.23/26.51    (85)   ~ (all_52_12 = all_52_14)
% 172.23/26.51    (86)   ~ (all_52_4 = all_52_12)
% 172.23/26.51    (87)  all_56_3 = all_4_2
% 172.23/26.51    (88)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.23/26.51    (89)  all_58_27 = all_10_1
% 172.23/26.51    (90)   ~ (all_52_2 = all_52_3)
% 172.23/26.51    (91)   ~ (all_52_4 = all_52_8)
% 172.23/26.51    (92)   ~ (all_52_14 = all_14_2)
% 172.23/26.51    (93)  all_58_25 = all_52_9
% 172.23/26.51    (94)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 172.23/26.51    (95)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.23/26.51            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.23/26.51    (96)   ~ (all_52_6 = e0)
% 172.23/26.51    (97)   ~ (all_52_2 = all_52_14)
% 172.23/26.51    (98)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 172.23/26.51    (99)  all_58_21 = all_4_2
% 172.23/26.51    (100)  all_56_10 = all_52_13
% 172.23/26.51    (101)   ~ (e2 = e0)
% 172.23/26.51    (102)   ~ (all_52_3 = all_10_1)
% 172.23/26.51    (103)   ~ (all_52_14 = e0)
% 172.23/26.51    (104)  all_58_28 = all_52_12
% 172.23/26.51    (105)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.23/26.51    (106)   ~ (e1 = e0)
% 172.23/26.51    (107)  all_56_7 = all_52_6
% 172.23/26.51    (108)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.23/26.51             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.23/26.51             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.23/26.51             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.23/26.51             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.23/26.51             (all_58_15 = e0))
% 172.23/26.51    (109)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 172.23/26.51    (110)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.23/26.51    (111)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 172.23/26.51    (112)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.23/26.51           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.23/26.51           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.23/26.51           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.23/26.51           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.23/26.51           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.23/26.51           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.23/26.51           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.23/26.51           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.23/26.51           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.23/26.51             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.23/26.51             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.23/26.51             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.23/26.51             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.23/26.51             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.23/26.51             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.23/26.51             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.23/26.51             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.23/26.51             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.23/26.51             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.23/26.51             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.23/26.51             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.23/26.51             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.23/26.51             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.23/26.51             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.23/26.51             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.23/26.51           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.23/26.51           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.23/26.51           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.23/26.51             all_58_30 = e0 & e1 = e0)
% 172.23/26.51    (113)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.23/26.51    (114)   ~ (all_52_12 = all_52_13)
% 172.23/26.51  
% 172.23/26.51  Begin of proof
% 172.23/26.51  | 
% 172.23/26.52  | COMBINE_EQS: (43), (65) imply:
% 172.23/26.52  |   (115)  all_52_1 = e0
% 172.23/26.52  | 
% 172.23/26.52  | COMBINE_EQS: (38), (115) imply:
% 172.23/26.52  |   (116)  all_58_17 = e0
% 172.23/26.52  | 
% 172.23/26.52  | REDUCE: (70), (115) imply:
% 172.23/26.52  |   (117)   ~ (all_52_2 = e0)
% 172.23/26.52  | 
% 172.23/26.52  | SIMP: (117) implies:
% 172.23/26.52  |   (118)   ~ (all_52_2 = e0)
% 172.23/26.52  | 
% 172.23/26.52  | REDUCE: (83), (115) imply:
% 172.23/26.52  |   (119)   ~ (all_52_9 = e0)
% 172.23/26.52  | 
% 172.23/26.52  | SIMP: (119) implies:
% 172.23/26.52  |   (120)   ~ (all_52_9 = e0)
% 172.23/26.52  | 
% 172.23/26.52  | REDUCE: (76), (115) imply:
% 172.23/26.52  |   (121)   ~ (all_52_13 = e0)
% 172.23/26.52  | 
% 172.23/26.52  | SIMP: (121) implies:
% 172.23/26.52  |   (122)   ~ (all_52_13 = e0)
% 172.23/26.52  | 
% 172.23/26.52  | REDUCE: (53), (115) imply:
% 172.23/26.52  |   (123)   ~ (all_4_2 = e0)
% 172.23/26.52  | 
% 172.23/26.52  | SIMP: (123) implies:
% 172.23/26.52  |   (124)   ~ (all_4_2 = e0)
% 172.23/26.52  | 
% 172.23/26.52  | REDUCE: (25), (115) imply:
% 172.23/26.52  |   (125)  op(e2, e0) = all_58_4
% 172.23/26.52  | 
% 172.23/26.52  | BETA: splitting (98) gives:
% 172.23/26.52  | 
% 172.23/26.52  | Case 1:
% 172.23/26.52  | | 
% 172.23/26.52  | |   (126)  all_56_9 = e0
% 172.23/26.52  | | 
% 172.23/26.52  | | COMBINE_EQS: (41), (126) imply:
% 172.23/26.52  | |   (127)  all_52_12 = e0
% 172.23/26.52  | | 
% 172.23/26.52  | | COMBINE_EQS: (104), (127) imply:
% 172.23/26.52  | |   (128)  all_58_28 = e0
% 172.23/26.52  | | 
% 172.23/26.52  | | REDUCE: (86), (127) imply:
% 172.23/26.52  | |   (129)   ~ (all_52_4 = e0)
% 172.23/26.52  | | 
% 172.23/26.52  | | REDUCE: (5), (127) imply:
% 172.23/26.52  | |   (130)   ~ (all_52_8 = e0)
% 172.23/26.52  | | 
% 172.23/26.52  | | REDUCE: (85), (127) imply:
% 172.23/26.52  | |   (131)   ~ (all_52_14 = e0)
% 172.23/26.52  | | 
% 172.23/26.52  | | REDUCE: (13), (127) imply:
% 172.23/26.52  | |   (132)   ~ (all_6_2 = e0)
% 172.23/26.52  | | 
% 172.23/26.52  | | SIMP: (132) implies:
% 172.23/26.52  | |   (133)   ~ (all_6_2 = e0)
% 172.23/26.52  | | 
% 172.23/26.52  | | REDUCE: (4), (127) imply:
% 172.23/26.52  | |   (134)  op(e3, e0) = all_58_3
% 172.23/26.52  | | 
% 172.23/26.52  | | REDUCE: (68), (127) imply:
% 172.23/26.52  | |   (135)  op(e3, e0) = e0
% 172.23/26.52  | | 
% 172.23/26.52  | | BETA: splitting (60) gives:
% 172.23/26.52  | | 
% 172.23/26.52  | | Case 1:
% 172.23/26.52  | | | 
% 172.23/26.52  | | |   (136)  all_56_1 = e0
% 172.23/26.52  | | | 
% 172.23/26.52  | | | COMBINE_EQS: (2), (136) imply:
% 172.23/26.52  | | |   (137)  all_52_4 = e0
% 172.23/26.52  | | | 
% 172.23/26.52  | | | REDUCE: (129), (137) imply:
% 172.23/26.52  | | |   (138)  $false
% 172.23/26.52  | | | 
% 172.23/26.52  | | | CLOSE: (138) is inconsistent.
% 172.23/26.52  | | | 
% 172.23/26.52  | | Case 2:
% 172.23/26.52  | | | 
% 172.23/26.52  | | |   (139)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.23/26.52  | | | 
% 172.23/26.52  | | | BETA: splitting (139) gives:
% 172.23/26.52  | | | 
% 172.23/26.52  | | | Case 1:
% 172.23/26.52  | | | | 
% 172.23/26.52  | | | |   (140)  all_56_3 = e0
% 172.23/26.52  | | | | 
% 172.23/26.52  | | | | COMBINE_EQS: (87), (140) imply:
% 172.23/26.52  | | | |   (141)  all_4_2 = e0
% 172.23/26.52  | | | | 
% 172.23/26.52  | | | | REDUCE: (124), (141) imply:
% 172.23/26.52  | | | |   (142)  $false
% 172.23/26.52  | | | | 
% 172.23/26.52  | | | | CLOSE: (142) is inconsistent.
% 172.23/26.52  | | | | 
% 172.23/26.52  | | | Case 2:
% 172.23/26.52  | | | | 
% 172.23/26.52  | | | |   (143)  all_56_7 = e0 | all_56_13 = e0
% 172.23/26.52  | | | | 
% 172.23/26.52  | | | | BETA: splitting (143) gives:
% 172.23/26.52  | | | | 
% 172.23/26.52  | | | | Case 1:
% 172.23/26.52  | | | | | 
% 172.23/26.52  | | | | |   (144)  all_56_7 = e0
% 172.23/26.52  | | | | | 
% 172.23/26.52  | | | | | COMBINE_EQS: (107), (144) imply:
% 172.23/26.52  | | | | |   (145)  all_52_6 = e0
% 172.23/26.52  | | | | | 
% 172.23/26.52  | | | | | REDUCE: (96), (145) imply:
% 172.23/26.52  | | | | |   (146)  $false
% 172.23/26.52  | | | | | 
% 172.23/26.52  | | | | | CLOSE: (146) is inconsistent.
% 172.23/26.52  | | | | | 
% 172.23/26.52  | | | | Case 2:
% 172.23/26.52  | | | | | 
% 172.23/26.52  | | | | |   (147)  all_56_13 = e0
% 172.23/26.52  | | | | | 
% 172.23/26.52  | | | | | COMBINE_EQS: (62), (147) imply:
% 172.23/26.52  | | | | |   (148)  all_52_7 = e0
% 172.23/26.52  | | | | | 
% 172.23/26.52  | | | | | SIMP: (148) implies:
% 172.23/26.52  | | | | |   (149)  all_52_7 = e0
% 172.23/26.52  | | | | | 
% 172.23/26.52  | | | | | COMBINE_EQS: (7), (149) imply:
% 172.23/26.52  | | | | |   (150)  all_58_23 = e0
% 172.23/26.52  | | | | | 
% 172.23/26.52  | | | | | REDUCE: (20), (149) imply:
% 172.23/26.52  | | | | |   (151)   ~ (all_52_3 = e0)
% 172.23/26.52  | | | | | 
% 172.23/26.52  | | | | | REDUCE: (50), (149) imply:
% 172.23/26.52  | | | | |   (152)   ~ (all_14_2 = e0)
% 172.23/26.52  | | | | | 
% 172.23/26.52  | | | | | SIMP: (152) implies:
% 172.23/26.52  | | | | |   (153)   ~ (all_14_2 = e0)
% 172.23/26.52  | | | | | 
% 172.23/26.52  | | | | | REDUCE: (22), (149) imply:
% 172.23/26.52  | | | | |   (154)   ~ (all_10_1 = e0)
% 172.23/26.52  | | | | | 
% 172.23/26.52  | | | | | SIMP: (154) implies:
% 172.23/26.52  | | | | |   (155)   ~ (all_10_1 = e0)
% 172.23/26.52  | | | | | 
% 172.23/26.52  | | | | | REDUCE: (63), (149) imply:
% 172.23/26.52  | | | | |   (156)  op(e0, e0) = all_58_13
% 172.23/26.52  | | | | | 
% 172.23/26.52  | | | | | GROUND_INST: instantiating (95) with all_14_2, all_58_13, e0, e0,
% 172.23/26.52  | | | | |              simplifying with (1), (156) gives:
% 172.23/26.52  | | | | |   (157)  all_58_13 = all_14_2
% 172.23/26.52  | | | | | 
% 172.23/26.52  | | | | | GROUND_INST: instantiating (95) with all_52_13, all_58_4, e0, e2,
% 172.23/26.52  | | | | |              simplifying with (14), (125) gives:
% 172.23/26.52  | | | | |   (158)  all_58_4 = all_52_13
% 172.23/26.52  | | | | | 
% 172.23/26.52  | | | | | GROUND_INST: instantiating (95) with e0, all_58_3, e0, e3, simplifying
% 172.23/26.52  | | | | |              with (134), (135) gives:
% 172.23/26.52  | | | | |   (159)  all_58_3 = e0
% 172.23/26.52  | | | | | 
% 172.23/26.52  | | | | | BETA: splitting (23) gives:
% 172.23/26.52  | | | | | 
% 172.23/26.52  | | | | | Case 1:
% 172.23/26.52  | | | | | | 
% 172.23/26.52  | | | | | |   (160)  all_54_6 = e0
% 172.23/26.52  | | | | | | 
% 172.23/26.52  | | | | | | REF_CLOSE: (21), (120), (160) are inconsistent by sub-proof #901.
% 172.23/26.52  | | | | | | 
% 172.23/26.52  | | | | | Case 2:
% 172.23/26.52  | | | | | | 
% 172.23/26.52  | | | | | |   (161)   ~ (all_54_6 = e0)
% 172.23/26.52  | | | | | |   (162)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 172.23/26.52  | | | | | | 
% 172.23/26.52  | | | | | | BETA: splitting (26) gives:
% 172.23/26.52  | | | | | | 
% 172.23/26.52  | | | | | | Case 1:
% 172.23/26.52  | | | | | | | 
% 172.23/26.52  | | | | | | |   (163)  all_58_31 = e0
% 172.23/26.52  | | | | | | | 
% 172.23/26.52  | | | | | | | COMBINE_EQS: (28), (163) imply:
% 172.23/26.52  | | | | | | |   (164)  all_14_2 = e0
% 172.23/26.52  | | | | | | | 
% 172.23/26.52  | | | | | | | REDUCE: (153), (164) imply:
% 172.23/26.52  | | | | | | |   (165)  $false
% 172.23/26.52  | | | | | | | 
% 172.23/26.52  | | | | | | | CLOSE: (165) is inconsistent.
% 172.23/26.52  | | | | | | | 
% 172.23/26.52  | | | | | | Case 2:
% 172.23/26.52  | | | | | | | 
% 172.23/26.52  | | | | | | |   (166)   ~ (all_58_31 = e0)
% 172.23/26.52  | | | | | | |   (167)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.23/26.52  | | | | | | | 
% 172.23/26.52  | | | | | | | BETA: splitting (35) gives:
% 172.23/26.52  | | | | | | | 
% 172.23/26.52  | | | | | | | Case 1:
% 172.23/26.52  | | | | | | | | 
% 172.23/26.52  | | | | | | | |   (168)  all_58_27 = e0
% 172.23/26.52  | | | | | | | | 
% 172.23/26.52  | | | | | | | | COMBINE_EQS: (89), (168) imply:
% 172.23/26.52  | | | | | | | |   (169)  all_10_1 = e0
% 172.23/26.52  | | | | | | | | 
% 172.23/26.52  | | | | | | | | REDUCE: (155), (169) imply:
% 172.23/26.52  | | | | | | | |   (170)  $false
% 172.23/26.52  | | | | | | | | 
% 172.23/26.52  | | | | | | | | CLOSE: (170) is inconsistent.
% 172.23/26.52  | | | | | | | | 
% 172.23/26.52  | | | | | | | Case 2:
% 172.23/26.52  | | | | | | | | 
% 172.23/26.52  | | | | | | | |   (171)   ~ (all_58_27 = e0)
% 172.23/26.52  | | | | | | | |   (172)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.23/26.52  | | | | | | | | 
% 172.23/26.52  | | | | | | | | BETA: splitting (10) gives:
% 172.23/26.52  | | | | | | | | 
% 172.23/26.52  | | | | | | | | Case 1:
% 172.23/26.52  | | | | | | | | | 
% 172.23/26.52  | | | | | | | | |   (173)  all_58_19 = e0
% 172.23/26.52  | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | COMBINE_EQS: (40), (173) imply:
% 172.23/26.52  | | | | | | | | |   (174)  all_52_3 = e0
% 172.23/26.52  | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | REDUCE: (151), (174) imply:
% 172.23/26.52  | | | | | | | | |   (175)  $false
% 172.23/26.52  | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | CLOSE: (175) is inconsistent.
% 172.23/26.52  | | | | | | | | | 
% 172.23/26.52  | | | | | | | | Case 2:
% 172.23/26.52  | | | | | | | | | 
% 172.23/26.52  | | | | | | | | |   (176)   ~ (all_58_19 = e0)
% 172.23/26.52  | | | | | | | | |   (177)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.23/26.52  | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | BETA: splitting (77) gives:
% 172.23/26.52  | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | Case 1:
% 172.23/26.52  | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | |   (178)  all_56_4 = e1
% 172.23/26.52  | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | COMBINE_EQS: (73), (178) imply:
% 172.23/26.52  | | | | | | | | | |   (179)  all_52_8 = e1
% 172.23/26.52  | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | COMBINE_EQS: (84), (179) imply:
% 172.23/26.52  | | | | | | | | | |   (180)  all_58_24 = e1
% 172.23/26.52  | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | REDUCE: (64), (179) imply:
% 172.23/26.52  | | | | | | | | | |   (181)   ~ (all_52_9 = e1)
% 172.23/26.52  | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | SIMP: (181) implies:
% 172.23/26.52  | | | | | | | | | |   (182)   ~ (all_52_9 = e1)
% 172.23/26.52  | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | REF_CLOSE: (3), (6), (8), (10), (11), (12), (16), (17), (26),
% 172.23/26.52  | | | | | | | | | |            (28), (29), (32), (34), (35), (36), (39), (40),
% 172.23/26.52  | | | | | | | | | |            (43), (44), (47), (48), (49), (52), (54), (57),
% 172.23/26.52  | | | | | | | | | |            (58), (59), (61), (67), (69), (71), (73), (75),
% 172.23/26.52  | | | | | | | | | |            (79), (80), (81), (82), (84), (89), (90), (92),
% 172.23/26.52  | | | | | | | | | |            (93), (95), (97), (100), (102), (103), (106),
% 172.23/26.52  | | | | | | | | | |            (108), (110), (111), (116), (120), (126), (128),
% 172.23/26.52  | | | | | | | | | |            (133), (147), (151), (153), (155), (157), (158),
% 172.23/26.52  | | | | | | | | | |            (159), (167), (172), (180), (182) are inconsistent
% 172.23/26.52  | | | | | | | | | |            by sub-proof #253.
% 172.23/26.52  | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | Case 2:
% 172.23/26.52  | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | |   (183)   ~ (all_56_4 = e1)
% 172.23/26.52  | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | REDUCE: (73), (183) imply:
% 172.23/26.52  | | | | | | | | | |   (184)   ~ (all_52_8 = e1)
% 172.23/26.52  | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | BETA: splitting (88) gives:
% 172.23/26.52  | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | Case 1:
% 172.23/26.52  | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | |   (185)  all_56_0 = e1
% 172.23/26.52  | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | COMBINE_EQS: (34), (185) imply:
% 172.23/26.52  | | | | | | | | | | |   (186)  all_6_2 = e1
% 172.23/26.52  | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | REF_CLOSE: (6), (8), (59), (61), (101), (116), (177), (186)
% 172.23/26.52  | | | | | | | | | | |            are inconsistent by sub-proof #252.
% 172.23/26.52  | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | Case 2:
% 172.23/26.52  | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | |   (187)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.23/26.52  | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | BETA: splitting (187) gives:
% 172.23/26.52  | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | Case 1:
% 172.23/26.52  | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | |   (188)  all_56_1 = e1
% 172.23/26.52  | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | COMBINE_EQS: (2), (188) imply:
% 172.23/26.52  | | | | | | | | | | | |   (189)  all_52_4 = e1
% 172.23/26.52  | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | REDUCE: (27), (189) imply:
% 172.23/26.52  | | | | | | | | | | | |   (190)   ~ (all_52_6 = e1)
% 172.23/26.52  | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | SIMP: (190) implies:
% 172.23/26.52  | | | | | | | | | | | |   (191)   ~ (all_52_6 = e1)
% 172.23/26.52  | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | REDUCE: (91), (189) imply:
% 172.23/26.52  | | | | | | | | | | | |   (192)   ~ (all_52_8 = e1)
% 172.23/26.52  | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | BETA: splitting (37) gives:
% 172.23/26.52  | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | Case 1:
% 172.23/26.52  | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | |   (193)  all_56_6 = e1
% 172.23/26.52  | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | COMBINE_EQS: (82), (193) imply:
% 172.23/26.52  | | | | | | | | | | | | |   (194)  all_52_2 = e1
% 172.23/26.52  | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | SIMP: (194) implies:
% 172.23/26.52  | | | | | | | | | | | | |   (195)  all_52_2 = e1
% 172.23/26.52  | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | REDUCE: (97), (195) imply:
% 172.23/26.52  | | | | | | | | | | | | |   (196)   ~ (all_52_14 = e1)
% 172.23/26.52  | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | SIMP: (196) implies:
% 172.23/26.52  | | | | | | | | | | | | |   (197)   ~ (all_52_14 = e1)
% 172.23/26.52  | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | BETA: splitting (167) gives:
% 172.23/26.52  | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | Case 1:
% 172.23/26.52  | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | |   (198)  all_58_30 = e1
% 172.23/26.52  | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | COMBINE_EQS: (36), (198) imply:
% 172.23/26.52  | | | | | | | | | | | | | |   (199)  all_52_14 = e1
% 172.23/26.52  | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | REDUCE: (197), (199) imply:
% 172.23/26.52  | | | | | | | | | | | | | |   (200)  $false
% 172.23/26.52  | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | CLOSE: (200) is inconsistent.
% 172.23/26.52  | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | Case 2:
% 172.23/26.52  | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | |   (201)  all_58_28 = e3 | all_58_29 = e2
% 172.23/26.52  | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 172.23/26.52  | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | Case 1:
% 172.23/26.52  | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | |   (202)  all_58_29 = e2
% 172.23/26.52  | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | COMBINE_EQS: (69), (202) imply:
% 172.23/26.52  | | | | | | | | | | | | | | |   (203)  all_52_13 = e2
% 172.23/26.52  | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | COMBINE_EQS: (100), (203) imply:
% 172.23/26.52  | | | | | | | | | | | | | | |   (204)  all_56_10 = e2
% 172.23/26.52  | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | REDUCE: (29), (203) imply:
% 172.23/26.52  | | | | | | | | | | | | | | |   (205)   ~ (all_52_9 = e2)
% 172.23/26.52  | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | REDUCE: (52), (203) imply:
% 172.23/26.52  | | | | | | | | | | | | | | |   (206)   ~ (all_14_2 = e2)
% 172.23/26.52  | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | SIMP: (206) implies:
% 172.23/26.52  | | | | | | | | | | | | | | |   (207)   ~ (all_14_2 = e2)
% 172.23/26.52  | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | REDUCE: (24), (203) imply:
% 172.23/26.52  | | | | | | | | | | | | | | |   (208)   ~ (all_4_2 = e2)
% 172.23/26.52  | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | SIMP: (208) implies:
% 172.23/26.52  | | | | | | | | | | | | | | |   (209)   ~ (all_4_2 = e2)
% 172.23/26.52  | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | BETA: splitting (109) gives:
% 172.23/26.52  | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | Case 1:
% 172.23/26.52  | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | |   (210)  all_56_1 = e2
% 172.23/26.52  | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | | REF_CLOSE: (46), (67), (128), (188), (201), (202), (210) are
% 172.23/26.52  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #251.
% 172.23/26.52  | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | Case 2:
% 172.23/26.52  | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | |   (211)   ~ (all_56_1 = e2)
% 172.23/26.52  | | | | | | | | | | | | | | | |   (212)  all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 172.23/26.52  | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | | REDUCE: (188), (211) imply:
% 172.23/26.52  | | | | | | | | | | | | | | | |   (213)   ~ (e2 = e1)
% 172.23/26.52  | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | | BETA: splitting (57) gives:
% 172.23/26.52  | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.52  | | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | | |   (214)  all_56_9 = e1
% 172.23/26.52  | | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | | | COMBINE_EQS: (126), (214) imply:
% 172.23/26.52  | | | | | | | | | | | | | | | | |   (215)  e1 = e0
% 172.23/26.52  | | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | | | REDUCE: (106), (215) imply:
% 172.23/26.52  | | | | | | | | | | | | | | | | |   (216)  $false
% 172.23/26.52  | | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | | | CLOSE: (216) is inconsistent.
% 172.23/26.52  | | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.52  | | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | | |   (217)   ~ (all_56_9 = e1)
% 172.23/26.52  | | | | | | | | | | | | | | | | |   (218)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.23/26.52  | | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | | | REDUCE: (126), (217) imply:
% 172.23/26.52  | | | | | | | | | | | | | | | | |   (219)   ~ (e1 = e0)
% 172.23/26.52  | | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 172.23/26.52  | | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.52  | | | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | | | |   (220)  all_56_10 = e1
% 172.23/26.52  | | | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (67), (128), (201), (202), (204), (220) are
% 172.23/26.52  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #250.
% 172.23/26.52  | | | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.52  | | | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | | | |   (221)  all_56_11 = e1 | all_56_15 = e1
% 172.23/26.52  | | | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 172.23/26.52  | | | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.52  | | | | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | | | | |   (222)  all_56_3 = e2
% 172.23/26.52  | | | | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (87), (222) imply:
% 172.23/26.52  | | | | | | | | | | | | | | | | | | |   (223)  all_4_2 = e2
% 172.23/26.52  | | | | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | | | | | REDUCE: (209), (223) imply:
% 172.23/26.52  | | | | | | | | | | | | | | | | | | |   (224)  $false
% 172.23/26.52  | | | | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | | | | | CLOSE: (224) is inconsistent.
% 172.23/26.52  | | | | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.52  | | | | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | | | | |   (225)  all_56_7 = e2 | all_56_13 = e2
% 172.23/26.52  | | | | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (6), (9), (10), (11), (15), (17), (18),
% 172.23/26.52  | | | | | | | | | | | | | | | | | | |            (19), (21), (27), (28), (30), (31), (32), (34),
% 172.23/26.52  | | | | | | | | | | | | | | | | | | |            (36), (39), (40), (42), (43), (44), (47), (48),
% 172.23/26.52  | | | | | | | | | | | | | | | | | | |            (51), (54), (55), (56), (59), (61), (64), (66),
% 172.23/26.52  | | | | | | | | | | | | | | | | | | |            (67), (73), (74), (78), (81), (82), (84), (87),
% 172.23/26.52  | | | | | | | | | | | | | | | | | | |            (93), (94), (96), (99), (101), (105), (106),
% 172.23/26.52  | | | | | | | | | | | | | | | | | | |            (107), (112), (113), (116), (120), (124), (126),
% 172.23/26.52  | | | | | | | | | | | | | | | | | | |            (128), (129), (130), (133), (147), (150), (151),
% 172.23/26.52  | | | | | | | | | | | | | | | | | | |            (153), (162), (172), (184), (188), (193), (202),
% 172.23/26.52  | | | | | | | | | | | | | | | | | | |            (204), (205), (207), (221), (225) are inconsistent
% 172.23/26.52  | | | | | | | | | | | | | | | | | | |            by sub-proof #249.
% 172.23/26.52  | | | | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.52  | | | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | | | End of split
% 172.23/26.52  | | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | | End of split
% 172.23/26.52  | | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | End of split
% 172.23/26.52  | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | Case 2:
% 172.23/26.52  | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | |   (226)  all_58_28 = e3
% 172.23/26.52  | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | | REF_CLOSE: (67), (128), (226) are inconsistent by sub-proof
% 172.23/26.52  | | | | | | | | | | | | | | |            #857.
% 172.23/26.52  | | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | | End of split
% 172.23/26.52  | | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | End of split
% 172.23/26.52  | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | Case 2:
% 172.23/26.52  | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | |   (227)  all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 172.23/26.52  | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | | REF_CLOSE: (3), (6), (8), (10), (11), (12), (16), (17), (26),
% 172.23/26.52  | | | | | | | | | | | | |            (28), (32), (34), (35), (36), (39), (40), (43),
% 172.23/26.52  | | | | | | | | | | | | |            (44), (46), (47), (48), (49), (52), (54), (57),
% 172.23/26.52  | | | | | | | | | | | | |            (58), (59), (61), (67), (69), (71), (73), (75),
% 172.23/26.52  | | | | | | | | | | | | |            (79), (80), (81), (82), (84), (89), (90), (92),
% 172.23/26.52  | | | | | | | | | | | | |            (93), (95), (97), (100), (101), (102), (103),
% 172.23/26.52  | | | | | | | | | | | | |            (106), (107), (108), (110), (111), (116), (120),
% 172.23/26.52  | | | | | | | | | | | | |            (126), (128), (133), (147), (151), (153), (155),
% 172.23/26.52  | | | | | | | | | | | | |            (157), (158), (159), (191), (227) are inconsistent
% 172.23/26.52  | | | | | | | | | | | | |            by sub-proof #248.
% 172.23/26.52  | | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | End of split
% 172.23/26.52  | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | Case 2:
% 172.23/26.52  | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | |   (228)  all_56_4 = e1 | all_56_9 = e1
% 172.23/26.52  | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | | REF_CLOSE: (73), (106), (126), (184), (228) are inconsistent
% 172.23/26.52  | | | | | | | | | | | |            by sub-proof #753.
% 172.23/26.52  | | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | | End of split
% 172.23/26.52  | | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | | End of split
% 172.23/26.52  | | | | | | | | | | 
% 172.23/26.52  | | | | | | | | | End of split
% 172.23/26.52  | | | | | | | | | 
% 172.23/26.52  | | | | | | | | End of split
% 172.23/26.52  | | | | | | | | 
% 172.23/26.52  | | | | | | | End of split
% 172.23/26.52  | | | | | | | 
% 172.23/26.52  | | | | | | End of split
% 172.23/26.52  | | | | | | 
% 172.23/26.52  | | | | | End of split
% 172.23/26.52  | | | | | 
% 172.23/26.52  | | | | End of split
% 172.23/26.52  | | | | 
% 172.23/26.52  | | | End of split
% 172.23/26.52  | | | 
% 172.23/26.52  | | End of split
% 172.23/26.52  | | 
% 172.23/26.52  | Case 2:
% 172.23/26.52  | | 
% 172.23/26.52  | |   (229)  all_56_10 = e0 | all_56_11 = e0
% 172.23/26.52  | | 
% 172.23/26.52  | | REF_CLOSE: (32), (100), (103), (122), (229) are inconsistent by sub-proof
% 172.23/26.52  | |            #414.
% 172.23/26.52  | | 
% 172.23/26.52  | End of split
% 172.23/26.52  | 
% 172.23/26.52  End of proof
% 172.23/26.52  
% 172.23/26.52  Sub-proof #240 shows that the following formulas are inconsistent:
% 172.23/26.52  ----------------------------------------------------------------
% 172.23/26.52    (1)   ~ (all_52_12 = all_14_2)
% 172.23/26.52    (2)  all_56_1 = all_52_4
% 172.23/26.52    (3)  all_56_12 = all_52_3
% 172.23/26.52    (4)   ~ (all_52_8 = all_52_12)
% 172.23/26.52    (5)   ~ (e3 = e1)
% 172.23/26.52    (6)   ~ (all_52_2 = all_6_2)
% 172.23/26.52    (7)   ~ (all_52_4 = all_4_2)
% 172.23/26.52    (8)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.23/26.52    (9)  all_56_5 = all_52_9
% 172.23/26.52    (10)  op(all_6_2, e3) = all_6_1
% 172.23/26.52    (11)   ~ (all_52_6 = all_4_2)
% 172.23/26.52    (12)  op(e1, e0) = all_52_14
% 172.23/26.52    (13)  all_56_15 = all_14_2
% 172.23/26.52    (14)  all_54_1 = all_52_4
% 172.23/26.52    (15)   ~ (all_52_9 = all_4_2)
% 172.23/26.52    (16)   ~ (all_52_3 = all_52_7)
% 172.23/26.52    (17)  all_54_6 = all_52_9
% 172.23/26.52    (18)   ~ (all_52_7 = all_10_1)
% 172.23/26.52    (19)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 172.23/26.52    (20)   ~ (all_52_13 = all_4_2)
% 172.23/26.52    (21)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.23/26.52    (22)  all_48_2 = all_14_2
% 172.23/26.52    (23)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.23/26.52    (24)   ~ (all_52_9 = e0)
% 172.23/26.52    (25)   ~ (all_52_4 = all_52_6)
% 172.23/26.52    (26)  all_58_31 = all_14_2
% 172.23/26.52    (27)   ~ (all_52_9 = all_52_13)
% 172.23/26.52    (28)   ~ (all_52_1 = all_6_2)
% 172.23/26.52    (29)  all_56_11 = all_52_14
% 172.23/26.52    (30)   ~ (all_52_6 = all_52_7)
% 172.23/26.52    (31)  all_56_0 = all_6_2
% 172.23/26.52    (32)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.23/26.52    (33)  all_58_30 = all_52_14
% 172.23/26.52    (34)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.23/26.52    (35)  all_58_17 = all_52_1
% 172.23/26.52    (36)  all_56_14 = all_10_1
% 172.23/26.52    (37)  all_58_19 = all_52_3
% 172.23/26.52    (38)  all_56_9 = all_52_12
% 172.23/26.52    (39)   ~ (all_52_2 = all_52_6)
% 172.23/26.52    (40)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 172.23/26.52    (41)   ~ (e3 = e2)
% 172.23/26.52    (42)   ~ (all_52_4 = all_52_7)
% 172.23/26.52    (43)   ~ (e2 = e1)
% 172.23/26.52    (44)  all_58_26 = e0
% 172.23/26.52    (45)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 172.23/26.52    (46)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.23/26.52    (47)   ~ (all_52_13 = all_14_2)
% 172.23/26.52    (48)   ~ (all_52_1 = all_4_2)
% 172.23/26.52    (49)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.23/26.52    (50)  all_54_14 = all_10_1
% 172.23/26.52    (51)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.23/26.52    (52)  all_54_9 = all_52_6
% 172.23/26.52    (53)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.23/26.52    (54)   ~ (all_52_13 = all_52_14)
% 172.23/26.52    (55)   ~ (all_48_0 = e3) |  ~ (all_48_1 = e2) |  ~ (all_48_2 = e1)
% 172.23/26.52    (56)  all_58_18 = all_52_2
% 172.23/26.52    (57)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.23/26.52    (58)  all_58_16 = all_6_2
% 172.23/26.52    (59)  all_56_13 = all_52_7
% 172.23/26.52    (60)  op(e0, e3) = all_52_3
% 172.23/26.52    (61)   ~ (all_52_8 = all_52_9)
% 172.23/26.52    (62)   ~ (all_52_4 = all_6_2)
% 172.23/26.52    (63)  all_56_2 = all_52_1
% 172.23/26.52    (64)   ~ (all_52_8 = all_10_1)
% 172.23/26.52    (65)   ~ (e3 = e0)
% 172.23/26.52    (66)  all_58_29 = all_52_13
% 172.23/26.52    (67)   ~ (all_52_1 = all_52_2)
% 172.23/26.52    (68)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 172.23/26.52    (69)   ~ (all_4_2 = e0)
% 172.23/26.52    (70)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.23/26.52    (71)  op(all_10_1, e0) = all_10_0
% 172.23/26.52    (72)  all_6_2 = e0
% 172.23/26.52    (73)   ~ (all_52_6 = all_52_14)
% 172.23/26.52    (74)  all_56_4 = all_52_8
% 172.23/26.52    (75)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.23/26.52    (76)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.23/26.52    (77)   ~ (all_52_9 = all_10_1)
% 172.23/26.52    (78)   ~ (all_52_1 = all_52_13)
% 172.23/26.52    (79)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.23/26.52    (80)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 172.23/26.52    (81)  all_58_20 = all_52_4
% 172.23/26.52    (82)  all_54_15 = all_14_2
% 172.23/26.52    (83)   ~ (all_14_2 = all_10_1)
% 172.23/26.52    (84)   ~ (all_52_8 = all_6_2)
% 172.23/26.52    (85)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 172.23/26.52    (86)  all_56_6 = all_52_2
% 172.23/26.52    (87)   ~ (all_52_1 = all_52_9)
% 172.23/26.52    (88)  all_58_24 = all_52_8
% 172.23/26.52    (89)   ~ (all_52_12 = all_52_14)
% 172.23/26.52    (90)  all_58_22 = all_52_6
% 172.23/26.52    (91)  all_56_3 = all_4_2
% 172.23/26.52    (92)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.23/26.52    (93)  all_58_27 = all_10_1
% 172.23/26.52    (94)   ~ (all_52_2 = all_52_3)
% 172.23/26.52    (95)   ~ (all_52_4 = all_52_8)
% 172.23/26.52    (96)   ~ (all_52_14 = all_14_2)
% 172.23/26.52    (97)  all_58_25 = all_52_9
% 172.23/26.52    (98)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 172.23/26.52    (99)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.23/26.52            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.23/26.52    (100)   ~ (all_52_6 = e0)
% 172.23/26.52    (101)  all_54_12 = all_52_3
% 172.23/26.52    (102)   ~ (all_52_2 = all_52_14)
% 172.23/26.52    (103)  all_58_21 = all_4_2
% 172.23/26.52    (104)  all_56_10 = all_52_13
% 172.23/26.52    (105)   ~ (e2 = e0)
% 172.23/26.52    (106)   ~ (all_52_1 = all_52_3)
% 172.23/26.52    (107)   ~ (all_52_3 = all_10_1)
% 172.23/26.52    (108)  all_58_28 = all_52_12
% 172.23/26.52    (109)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.23/26.52    (110)   ~ (e1 = e0)
% 172.23/26.52    (111)  all_54_4 = all_52_1
% 172.23/26.52    (112)  all_56_7 = all_52_6
% 172.23/26.52    (113)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.23/26.52    (114)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 172.23/26.52    (115)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.23/26.52           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.23/26.52           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.23/26.52           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.23/26.52           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.23/26.52           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.23/26.52           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.23/26.52           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.23/26.52           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.23/26.52           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.23/26.52             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.23/26.52             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.23/26.52             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.23/26.52             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.23/26.52             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.23/26.52             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.23/26.52             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.23/26.52             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.23/26.52             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.23/26.52             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.23/26.52             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.23/26.52             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.23/26.52             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.23/26.52             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.23/26.52             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.23/26.52             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.23/26.52           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.23/26.52           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.23/26.52           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.23/26.52             all_58_30 = e0 & e1 = e0)
% 172.23/26.52    (116)   ~ (all_52_12 = all_52_13)
% 172.23/26.52  
% 172.23/26.52  Begin of proof
% 172.23/26.52  | 
% 172.23/26.52  | COMBINE_EQS: (31), (72) imply:
% 172.23/26.52  |   (117)  all_56_0 = e0
% 172.23/26.52  | 
% 172.23/26.52  | COMBINE_EQS: (58), (72) imply:
% 172.23/26.52  |   (118)  all_58_16 = e0
% 172.23/26.52  | 
% 172.23/26.52  | REDUCE: (28), (72) imply:
% 172.23/26.52  |   (119)   ~ (all_52_1 = e0)
% 172.23/26.52  | 
% 172.23/26.52  | REDUCE: (6), (72) imply:
% 172.23/26.52  |   (120)   ~ (all_52_2 = e0)
% 172.23/26.52  | 
% 172.23/26.52  | REDUCE: (62), (72) imply:
% 172.23/26.52  |   (121)   ~ (all_52_4 = e0)
% 172.23/26.52  | 
% 172.23/26.52  | REDUCE: (72), (84) imply:
% 172.23/26.52  |   (122)   ~ (all_52_8 = e0)
% 172.23/26.52  | 
% 172.23/26.52  | REDUCE: (10), (72) imply:
% 172.23/26.52  |   (123)  op(e0, e3) = all_6_1
% 172.23/26.52  | 
% 172.23/26.52  | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (11), (12), (13), (14),
% 172.23/26.52  |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 172.23/26.52  |            (26), (27), (29), (30), (32), (33), (34), (35), (36), (37), (38),
% 172.23/26.52  |            (39), (40), (41), (42), (43), (44), (45), (46), (47), (48), (49),
% 172.23/26.52  |            (50), (51), (52), (53), (54), (55), (56), (57), (59), (60), (61),
% 172.23/26.52  |            (63), (64), (65), (66), (67), (68), (69), (70), (71), (73), (74),
% 172.23/26.52  |            (75), (76), (77), (78), (79), (80), (81), (82), (83), (85), (86),
% 172.23/26.52  |            (87), (88), (89), (90), (91), (92), (93), (94), (95), (96), (97),
% 172.23/26.52  |            (98), (99), (100), (101), (102), (103), (104), (105), (106), (107),
% 172.23/26.52  |            (108), (109), (110), (111), (112), (113), (114), (115), (116),
% 172.23/26.52  |            (117), (118), (119), (120), (121), (122), (123) are inconsistent by
% 172.23/26.52  |            sub-proof #268.
% 172.23/26.52  | 
% 172.23/26.52  End of proof
% 172.23/26.52  
% 172.23/26.52  Sub-proof #241 shows that the following formulas are inconsistent:
% 172.23/26.52  ----------------------------------------------------------------
% 172.23/26.52    (1)  op(e0, e0) = all_14_2
% 172.23/26.52    (2)  all_56_1 = all_52_4
% 172.23/26.52    (3)  all_56_12 = all_52_3
% 172.23/26.52    (4)  op(e3, all_52_12) = all_58_3
% 172.23/26.52    (5)   ~ (all_52_8 = all_52_12)
% 172.23/26.52    (6)   ~ (e3 = e1)
% 172.23/26.52    (7)  all_58_23 = all_52_7
% 172.23/26.52    (8)   ~ (all_52_2 = all_6_2)
% 172.23/26.52    (9)   ~ (all_52_3 = all_14_2)
% 172.23/26.52    (10)   ~ (all_52_4 = all_4_2)
% 172.23/26.52    (11)  all_54_3 = all_52_12
% 172.23/26.52    (12)  all_56_5 = all_52_9
% 172.23/26.52    (13)  all_58_10 = all_52_14
% 172.23/26.52    (14)   ~ (all_52_12 = all_6_2)
% 172.23/26.52    (15)  op(e2, e0) = all_52_13
% 172.23/26.52    (16)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 172.23/26.52    (17)   ~ (all_52_6 = all_4_2)
% 172.23/26.52    (18)  all_56_15 = all_14_2
% 172.23/26.52    (19)  op(e3, all_52_4) = all_58_1
% 172.23/26.52    (20)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 172.23/26.52    (21)   ~ (all_52_9 = all_4_2)
% 172.23/26.52    (22)   ~ (all_52_3 = all_52_7)
% 172.23/26.52    (23)   ~ (all_52_7 = all_10_1)
% 172.23/26.52    (24)   ~ (all_52_13 = all_4_2)
% 172.23/26.52    (25)  op(e0, all_52_3) = all_58_12
% 172.23/26.52    (26)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.23/26.53    (27)   ~ (all_52_9 = e0)
% 172.23/26.53    (28)   ~ (all_52_4 = all_52_6)
% 172.23/26.53    (29)  all_58_31 = all_14_2
% 172.23/26.53    (30)   ~ (all_52_9 = all_52_13)
% 172.23/26.53    (31)   ~ (all_52_3 = all_6_2)
% 172.23/26.53    (32)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.23/26.53    (33)   ~ (all_52_1 = all_6_2)
% 172.23/26.53    (34)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 172.23/26.53    (35)  all_54_2 = all_52_8
% 172.23/26.53    (36)  all_56_11 = all_52_14
% 172.23/26.53    (37)   ~ (all_52_6 = all_52_7)
% 172.23/26.53    (38)   ~ (all_4_1 = e0)
% 172.23/26.53    (39)  all_56_0 = all_6_2
% 172.23/26.53    (40)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.23/26.53    (41)  all_56_5 = e0 | all_56_10 = e0
% 172.23/26.53    (42)  all_58_30 = all_52_14
% 172.23/26.53    (43)  op(e3, e2) = all_52_4
% 172.23/26.53    (44)  op(all_4_2, e2) = all_4_1
% 172.23/26.53    (45)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.23/26.53    (46)  all_58_17 = all_52_1
% 172.23/26.53    (47)  all_56_14 = all_10_1
% 172.23/26.53    (48)  all_58_19 = all_52_3
% 172.23/26.53    (49)  all_56_9 = all_52_12
% 172.23/26.53    (50)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 172.23/26.53    (51)   ~ (e3 = e2)
% 172.23/26.53    (52)   ~ (e2 = e1)
% 172.23/26.53    (53)  all_58_26 = e0
% 172.23/26.53    (54)  all_56_8 = e0
% 172.23/26.53    (55)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 172.23/26.53    (56)   ~ (all_52_2 = e0)
% 172.23/26.53    (57)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.23/26.53    (58)   ~ (all_52_1 = all_4_2)
% 172.23/26.53    (59)  all_54_14 = all_10_1
% 172.23/26.53    (60)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.23/26.53    (61)   ~ (all_52_13 = all_52_14)
% 172.23/26.53    (62)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.23/26.53    (63)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.23/26.53    (64)  all_58_16 = all_6_2
% 172.23/26.53    (65)  all_56_13 = all_52_7
% 172.23/26.53    (66)   ~ (all_52_8 = all_52_9)
% 172.23/26.53    (67)  all_56_2 = all_52_1
% 172.23/26.53    (68)   ~ (all_52_8 = all_10_1)
% 172.23/26.53    (69)   ~ (e3 = e0)
% 172.23/26.53    (70)  op(e3, e0) = all_52_12
% 172.23/26.53    (71)  all_58_29 = all_52_13
% 172.23/26.53    (72)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 172.23/26.53    (73)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.23/26.53    (74)   ~ (all_6_2 = e0)
% 172.23/26.53    (75)   ~ (all_52_6 = all_52_14)
% 172.23/26.53    (76)   ~ (all_52_7 = all_4_2)
% 172.23/26.53    (77)  all_56_4 = all_52_8
% 172.23/26.53    (78)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.23/26.53    (79)   ~ (all_52_9 = all_10_1)
% 172.23/26.53    (80)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.23/26.53    (81)  all_58_20 = all_52_4
% 172.23/26.53    (82)  all_54_13 = all_52_7
% 172.23/26.53    (83)  all_54_15 = all_14_2
% 172.23/26.53    (84)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.23/26.53    (85)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 172.23/26.53    (86)   ~ (all_14_2 = all_10_1)
% 172.23/26.53    (87)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.23/26.53    (88)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 172.23/26.53    (89)   ~ (all_52_8 = all_6_2)
% 172.23/26.53    (90)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 172.23/26.53    (91)  all_56_6 = all_52_2
% 172.23/26.53    (92)   ~ (all_52_1 = all_52_9)
% 172.23/26.53    (93)  all_58_24 = all_52_8
% 172.23/26.53    (94)   ~ (all_52_12 = all_52_14)
% 172.23/26.53    (95)  all_58_22 = all_52_6
% 172.23/26.53    (96)   ~ (all_52_4 = all_52_12)
% 172.23/26.53    (97)  all_56_3 = all_4_2
% 172.23/26.53    (98)  all_58_27 = all_10_1
% 172.23/26.53    (99)   ~ (all_52_1 = e0)
% 172.23/26.53    (100)   ~ (all_52_4 = all_52_8)
% 172.23/26.53    (101)   ~ (all_52_14 = all_14_2)
% 172.23/26.53    (102)  all_58_25 = all_52_9
% 172.23/26.53    (103)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.23/26.53             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.23/26.53    (104)   ~ (all_52_6 = e0)
% 172.23/26.53    (105)  all_58_21 = all_4_2
% 172.23/26.53    (106)  all_56_10 = all_52_13
% 172.23/26.53    (107)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.23/26.53    (108)   ~ (e2 = e0)
% 172.23/26.53    (109)   ~ (all_52_1 = all_52_3)
% 172.23/26.53    (110)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 172.23/26.53    (111)   ~ (all_52_3 = all_10_1)
% 172.23/26.53    (112)  all_58_28 = all_52_12
% 172.23/26.53    (113)   ~ (e1 = e0)
% 172.23/26.53    (114)  all_56_7 = all_52_6
% 172.23/26.53    (115)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.23/26.53             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.23/26.53             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.23/26.53             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.23/26.53             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.23/26.53             (all_58_15 = e0))
% 172.23/26.53    (116)  all_54_5 = all_4_2
% 172.23/26.53    (117)  op(e2, all_52_13) = all_58_7
% 172.23/26.53    (118)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 172.23/26.53    (119)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.23/26.53           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.23/26.53           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.23/26.53           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.23/26.53           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.23/26.53           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.23/26.53           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.23/26.53           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.23/26.53           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.23/26.53           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.23/26.53             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.23/26.53             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.23/26.53             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.23/26.53             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.23/26.53             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.23/26.53             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.23/26.53             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.23/26.53             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.23/26.53             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.23/26.53             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.23/26.53             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.23/26.53             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.23/26.53             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.23/26.53             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.23/26.53             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.23/26.53             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.23/26.53           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.23/26.53           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.23/26.53           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.23/26.53             all_58_30 = e0 & e1 = e0)
% 172.23/26.53  
% 172.23/26.53  Begin of proof
% 172.23/26.53  | 
% 172.23/26.53  | BETA: splitting (84) gives:
% 172.23/26.53  | 
% 172.23/26.53  | Case 1:
% 172.23/26.53  | | 
% 172.23/26.53  | |   (120)  all_56_0 = e0
% 172.23/26.53  | | 
% 172.23/26.53  | | COMBINE_EQS: (39), (120) imply:
% 172.23/26.53  | |   (121)  all_6_2 = e0
% 172.23/26.53  | | 
% 172.23/26.53  | | REDUCE: (74), (121) imply:
% 172.23/26.53  | |   (122)  $false
% 172.23/26.53  | | 
% 172.23/26.53  | | CLOSE: (122) is inconsistent.
% 172.23/26.53  | | 
% 172.23/26.53  | Case 2:
% 172.23/26.53  | | 
% 172.23/26.53  | |   (123)   ~ (all_56_0 = e0)
% 172.23/26.53  | |   (124)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.23/26.53  | | 
% 172.23/26.53  | | BETA: splitting (124) gives:
% 172.23/26.53  | | 
% 172.23/26.53  | | Case 1:
% 172.23/26.53  | | | 
% 172.23/26.53  | | |   (125)  all_56_2 = e0
% 172.23/26.53  | | | 
% 172.23/26.53  | | | COMBINE_EQS: (67), (125) imply:
% 172.23/26.53  | | |   (126)  all_52_1 = e0
% 172.23/26.53  | | | 
% 172.23/26.53  | | | REDUCE: (99), (126) imply:
% 172.23/26.53  | | |   (127)  $false
% 172.23/26.53  | | | 
% 172.23/26.53  | | | CLOSE: (127) is inconsistent.
% 172.23/26.53  | | | 
% 172.23/26.53  | | Case 2:
% 172.23/26.53  | | | 
% 172.23/26.53  | | |   (128)  all_56_6 = e0 | all_56_12 = e0
% 172.23/26.53  | | | 
% 172.23/26.53  | | | BETA: splitting (41) gives:
% 172.23/26.53  | | | 
% 172.23/26.53  | | | Case 1:
% 172.23/26.53  | | | | 
% 172.23/26.53  | | | |   (129)  all_56_5 = e0
% 172.23/26.53  | | | | 
% 172.23/26.53  | | | | COMBINE_EQS: (12), (129) imply:
% 172.23/26.53  | | | |   (130)  all_52_9 = e0
% 172.23/26.53  | | | | 
% 172.23/26.53  | | | | REDUCE: (27), (130) imply:
% 172.23/26.53  | | | |   (131)  $false
% 172.23/26.53  | | | | 
% 172.23/26.53  | | | | CLOSE: (131) is inconsistent.
% 172.23/26.53  | | | | 
% 172.23/26.53  | | | Case 2:
% 172.23/26.53  | | | | 
% 172.23/26.53  | | | |   (132)  all_56_10 = e0
% 172.23/26.53  | | | | 
% 172.23/26.53  | | | | COMBINE_EQS: (106), (132) imply:
% 172.23/26.53  | | | |   (133)  all_52_13 = e0
% 172.23/26.53  | | | | 
% 172.23/26.53  | | | | SIMP: (133) implies:
% 172.23/26.53  | | | |   (134)  all_52_13 = e0
% 172.23/26.53  | | | | 
% 172.23/26.53  | | | | COMBINE_EQS: (71), (134) imply:
% 172.23/26.53  | | | |   (135)  all_58_29 = e0
% 172.23/26.53  | | | | 
% 172.23/26.53  | | | | REDUCE: (61), (134) imply:
% 172.23/26.53  | | | |   (136)   ~ (all_52_14 = e0)
% 172.23/26.53  | | | | 
% 172.23/26.53  | | | | SIMP: (136) implies:
% 172.23/26.53  | | | |   (137)   ~ (all_52_14 = e0)
% 172.23/26.53  | | | | 
% 172.23/26.53  | | | | REDUCE: (24), (134) imply:
% 172.23/26.53  | | | |   (138)   ~ (all_4_2 = e0)
% 172.23/26.53  | | | | 
% 172.23/26.53  | | | | SIMP: (138) implies:
% 172.23/26.53  | | | |   (139)   ~ (all_4_2 = e0)
% 172.23/26.53  | | | | 
% 172.23/26.53  | | | | REDUCE: (117), (134) imply:
% 172.23/26.53  | | | |   (140)  op(e2, e0) = all_58_7
% 172.23/26.53  | | | | 
% 172.23/26.53  | | | | REDUCE: (15), (134) imply:
% 172.23/26.53  | | | |   (141)  op(e2, e0) = e0
% 172.23/26.53  | | | | 
% 172.23/26.53  | | | | BETA: splitting (90) gives:
% 172.23/26.53  | | | | 
% 172.23/26.53  | | | | Case 1:
% 172.23/26.53  | | | | | 
% 172.23/26.53  | | | | |   (142)  all_56_0 = e0
% 172.23/26.53  | | | | | 
% 172.23/26.53  | | | | | COMBINE_EQS: (39), (142) imply:
% 172.23/26.53  | | | | |   (143)  all_6_2 = e0
% 172.23/26.53  | | | | | 
% 172.23/26.53  | | | | | REDUCE: (74), (143) imply:
% 172.23/26.53  | | | | |   (144)  $false
% 172.23/26.53  | | | | | 
% 172.23/26.53  | | | | | CLOSE: (144) is inconsistent.
% 172.23/26.53  | | | | | 
% 172.23/26.53  | | | | Case 2:
% 172.23/26.53  | | | | | 
% 172.23/26.53  | | | | |   (145)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 172.23/26.53  | | | | | 
% 172.23/26.53  | | | | | BETA: splitting (145) gives:
% 172.23/26.53  | | | | | 
% 172.23/26.53  | | | | | Case 1:
% 172.23/26.53  | | | | | | 
% 172.23/26.53  | | | | | |   (146)  all_56_1 = e0
% 172.23/26.53  | | | | | | 
% 172.23/26.53  | | | | | | COMBINE_EQS: (2), (146) imply:
% 172.23/26.53  | | | | | |   (147)  all_52_4 = e0
% 172.23/26.53  | | | | | | 
% 172.23/26.53  | | | | | | COMBINE_EQS: (81), (147) imply:
% 172.23/26.53  | | | | | |   (148)  all_58_20 = e0
% 172.23/26.53  | | | | | | 
% 172.23/26.53  | | | | | | REDUCE: (28), (147) imply:
% 172.23/26.53  | | | | | |   (149)   ~ (all_52_6 = e0)
% 172.23/26.53  | | | | | | 
% 172.23/26.53  | | | | | | REDUCE: (100), (147) imply:
% 172.23/26.53  | | | | | |   (150)   ~ (all_52_8 = e0)
% 172.23/26.53  | | | | | | 
% 172.23/26.53  | | | | | | SIMP: (150) implies:
% 172.23/26.53  | | | | | |   (151)   ~ (all_52_8 = e0)
% 172.23/26.53  | | | | | | 
% 172.23/26.53  | | | | | | REDUCE: (96), (147) imply:
% 172.23/26.53  | | | | | |   (152)   ~ (all_52_12 = e0)
% 172.23/26.53  | | | | | | 
% 172.23/26.53  | | | | | | SIMP: (152) implies:
% 172.23/26.53  | | | | | |   (153)   ~ (all_52_12 = e0)
% 172.23/26.53  | | | | | | 
% 172.23/26.53  | | | | | | REDUCE: (19), (147) imply:
% 172.23/26.53  | | | | | |   (154)  op(e3, e0) = all_58_1
% 172.23/26.53  | | | | | | 
% 172.23/26.53  | | | | | | REDUCE: (43), (147) imply:
% 172.23/26.53  | | | | | |   (155)  op(e3, e2) = e0
% 172.23/26.53  | | | | | | 
% 172.23/26.53  | | | | | | BETA: splitting (128) gives:
% 172.23/26.53  | | | | | | 
% 172.23/26.53  | | | | | | Case 1:
% 172.23/26.53  | | | | | | | 
% 172.23/26.53  | | | | | | |   (156)  all_56_6 = e0
% 172.23/26.53  | | | | | | | 
% 172.23/26.53  | | | | | | | COMBINE_EQS: (91), (156) imply:
% 172.23/26.53  | | | | | | |   (157)  all_52_2 = e0
% 172.23/26.53  | | | | | | | 
% 172.23/26.53  | | | | | | | REDUCE: (56), (157) imply:
% 172.23/26.53  | | | | | | |   (158)  $false
% 172.23/26.53  | | | | | | | 
% 172.23/26.53  | | | | | | | CLOSE: (158) is inconsistent.
% 172.23/26.53  | | | | | | | 
% 172.23/26.53  | | | | | | Case 2:
% 172.23/26.53  | | | | | | | 
% 172.23/26.53  | | | | | | |   (159)  all_56_12 = e0
% 172.23/26.53  | | | | | | | 
% 172.23/26.53  | | | | | | | COMBINE_EQS: (3), (159) imply:
% 172.23/26.53  | | | | | | |   (160)  all_52_3 = e0
% 172.23/26.53  | | | | | | | 
% 172.23/26.53  | | | | | | | SIMP: (160) implies:
% 172.23/26.53  | | | | | | |   (161)  all_52_3 = e0
% 172.23/26.53  | | | | | | | 
% 172.23/26.53  | | | | | | | COMBINE_EQS: (48), (161) imply:
% 172.23/26.53  | | | | | | |   (162)  all_58_19 = e0
% 172.23/26.53  | | | | | | | 
% 172.23/26.53  | | | | | | | REDUCE: (22), (161) imply:
% 172.23/26.53  | | | | | | |   (163)   ~ (all_52_7 = e0)
% 172.23/26.53  | | | | | | | 
% 172.23/26.53  | | | | | | | SIMP: (163) implies:
% 172.23/26.53  | | | | | | |   (164)   ~ (all_52_7 = e0)
% 172.23/26.53  | | | | | | | 
% 172.23/26.53  | | | | | | | REDUCE: (9), (161) imply:
% 172.23/26.53  | | | | | | |   (165)   ~ (all_14_2 = e0)
% 172.23/26.53  | | | | | | | 
% 172.23/26.53  | | | | | | | SIMP: (165) implies:
% 172.23/26.53  | | | | | | |   (166)   ~ (all_14_2 = e0)
% 172.23/26.53  | | | | | | | 
% 172.23/26.53  | | | | | | | REDUCE: (111), (161) imply:
% 172.23/26.53  | | | | | | |   (167)   ~ (all_10_1 = e0)
% 172.23/26.53  | | | | | | | 
% 172.23/26.53  | | | | | | | SIMP: (167) implies:
% 172.23/26.53  | | | | | | |   (168)   ~ (all_10_1 = e0)
% 172.23/26.53  | | | | | | | 
% 172.23/26.53  | | | | | | | REDUCE: (31), (161) imply:
% 172.23/26.53  | | | | | | |   (169)   ~ (all_6_2 = e0)
% 172.23/26.53  | | | | | | | 
% 172.23/26.53  | | | | | | | REDUCE: (25), (161) imply:
% 172.23/26.53  | | | | | | |   (170)  op(e0, e0) = all_58_12
% 172.23/26.53  | | | | | | | 
% 172.23/26.53  | | | | | | | GROUND_INST: instantiating (103) with all_14_2, all_58_12, e0, e0,
% 172.23/26.53  | | | | | | |              simplifying with (1), (170) gives:
% 172.23/26.53  | | | | | | |   (171)  all_58_12 = all_14_2
% 172.23/26.53  | | | | | | | 
% 172.23/26.53  | | | | | | | GROUND_INST: instantiating (103) with e0, all_58_7, e0, e2,
% 172.23/26.53  | | | | | | |              simplifying with (140), (141) gives:
% 172.23/26.53  | | | | | | |   (172)  all_58_7 = e0
% 172.23/26.53  | | | | | | | 
% 172.23/26.53  | | | | | | | GROUND_INST: instantiating (103) with all_52_12, all_58_1, e0, e3,
% 172.23/26.53  | | | | | | |              simplifying with (70), (154) gives:
% 172.23/26.53  | | | | | | |   (173)  all_58_1 = all_52_12
% 172.23/26.53  | | | | | | | 
% 172.23/26.53  | | | | | | | BETA: splitting (50) gives:
% 172.23/26.53  | | | | | | | 
% 172.23/26.53  | | | | | | | Case 1:
% 172.23/26.53  | | | | | | | | 
% 172.23/26.53  | | | | | | | |   (174)  all_54_14 = e0
% 172.23/26.53  | | | | | | | | 
% 172.23/26.53  | | | | | | | | REF_CLOSE: (59), (168), (174) are inconsistent by sub-proof
% 172.23/26.53  | | | | | | | |            #282.
% 172.23/26.53  | | | | | | | | 
% 172.23/26.53  | | | | | | | Case 2:
% 172.23/26.53  | | | | | | | | 
% 172.23/26.53  | | | | | | | |   (175)   ~ (all_54_14 = e0)
% 172.23/26.53  | | | | | | | |   (176)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 172.23/26.53  | | | | | | | | 
% 172.23/26.53  | | | | | | | | BETA: splitting (85) gives:
% 172.23/26.53  | | | | | | | | 
% 172.23/26.53  | | | | | | | | Case 1:
% 172.23/26.53  | | | | | | | | | 
% 172.23/26.53  | | | | | | | | |   (177)  all_54_2 = e0
% 172.23/26.53  | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | REF_CLOSE: (35), (151), (177) are inconsistent by sub-proof
% 172.23/26.53  | | | | | | | | |            #763.
% 172.23/26.53  | | | | | | | | | 
% 172.23/26.53  | | | | | | | | Case 2:
% 172.23/26.53  | | | | | | | | | 
% 172.23/26.53  | | | | | | | | |   (178)   ~ (all_54_2 = e0)
% 172.23/26.53  | | | | | | | | |   (179)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1
% 172.23/26.53  | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | BETA: splitting (55) gives:
% 172.23/26.53  | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | Case 1:
% 172.23/26.53  | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | |   (180)  all_54_15 = e0
% 172.23/26.53  | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | REF_CLOSE: (83), (166), (180) are inconsistent by sub-proof
% 172.23/26.53  | | | | | | | | | |            #910.
% 172.23/26.53  | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | Case 2:
% 172.23/26.53  | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | |   (181)   ~ (all_54_15 = e0)
% 172.23/26.53  | | | | | | | | | |   (182)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 172.23/26.53  | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | BETA: splitting (16) gives:
% 172.23/26.53  | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | Case 1:
% 172.23/26.53  | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | |   (183)  all_54_5 = e0
% 172.23/26.53  | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | REF_CLOSE: (116), (139), (183) are inconsistent by sub-proof
% 172.23/26.53  | | | | | | | | | | |            #983.
% 172.23/26.53  | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | Case 2:
% 172.23/26.53  | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | |   (184)   ~ (all_54_5 = e0)
% 172.23/26.53  | | | | | | | | | | |   (185)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 172.23/26.53  | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | BETA: splitting (110) gives:
% 172.23/26.53  | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | Case 1:
% 172.23/26.53  | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | |   (186)  all_54_13 = e0
% 172.23/26.53  | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | REF_CLOSE: (82), (164), (186) are inconsistent by sub-proof
% 172.23/26.53  | | | | | | | | | | | |            #800.
% 172.23/26.53  | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | Case 2:
% 172.23/26.53  | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | |   (187)   ~ (all_54_13 = e0)
% 172.23/26.53  | | | | | | | | | | | |   (188)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 172.23/26.53  | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | BETA: splitting (87) gives:
% 172.23/26.53  | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | Case 1:
% 172.23/26.53  | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | |   (189)  all_58_23 = e0
% 172.23/26.53  | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | COMBINE_EQS: (7), (189) imply:
% 172.23/26.53  | | | | | | | | | | | | |   (190)  all_52_7 = e0
% 172.23/26.53  | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | REDUCE: (164), (190) imply:
% 172.23/26.53  | | | | | | | | | | | | |   (191)  $false
% 172.23/26.53  | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | CLOSE: (191) is inconsistent.
% 172.23/26.53  | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | Case 2:
% 172.23/26.53  | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | |   (192)   ~ (all_58_23 = e0)
% 172.23/26.53  | | | | | | | | | | | | |   (193)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.23/26.53  | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | BETA: splitting (40) gives:
% 172.23/26.53  | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | Case 1:
% 172.23/26.53  | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | |   (194)  all_58_27 = e0
% 172.23/26.53  | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | COMBINE_EQS: (98), (194) imply:
% 172.23/26.53  | | | | | | | | | | | | | |   (195)  all_10_1 = e0
% 172.23/26.53  | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | REDUCE: (168), (195) imply:
% 172.23/26.53  | | | | | | | | | | | | | |   (196)  $false
% 172.23/26.53  | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | CLOSE: (196) is inconsistent.
% 172.23/26.53  | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | Case 2:
% 172.23/26.53  | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | |   (197)   ~ (all_58_27 = e0)
% 172.23/26.53  | | | | | | | | | | | | | |   (198)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.23/26.53  | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | BETA: splitting (26) gives:
% 172.23/26.53  | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | Case 1:
% 172.23/26.53  | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | |   (199)  all_58_31 = e0
% 172.23/26.53  | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | COMBINE_EQS: (29), (199) imply:
% 172.23/26.53  | | | | | | | | | | | | | | |   (200)  all_14_2 = e0
% 172.23/26.53  | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | REDUCE: (166), (200) imply:
% 172.23/26.53  | | | | | | | | | | | | | | |   (201)  $false
% 172.23/26.53  | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | CLOSE: (201) is inconsistent.
% 172.23/26.53  | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | Case 2:
% 172.23/26.53  | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | |   (202)   ~ (all_58_31 = e0)
% 172.23/26.53  | | | | | | | | | | | | | | |   (203)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 172.23/26.53  | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | Case 1:
% 172.23/26.53  | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | |   (204)  all_56_4 = e3
% 172.23/26.53  | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | COMBINE_EQS: (77), (204) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | |   (205)  all_52_8 = e3
% 172.23/26.53  | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | REDUCE: (5), (205) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | |   (206)   ~ (all_52_12 = e3)
% 172.23/26.53  | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | SIMP: (206) implies:
% 172.23/26.53  | | | | | | | | | | | | | | | |   (207)   ~ (all_52_12 = e3)
% 172.23/26.53  | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (11), (12), (13), (14), (18),
% 172.23/26.53  | | | | | | | | | | | | | | | |            (20), (21), (26), (29), (32), (33), (34), (36),
% 172.23/26.53  | | | | | | | | | | | | | | | |            (37), (39), (40), (42), (45), (47), (49), (51),
% 172.23/26.53  | | | | | | | | | | | | | | | |            (52), (53), (54), (58), (60), (62), (65), (67),
% 172.23/26.53  | | | | | | | | | | | | | | | |            (68), (69), (73), (74), (75), (76), (77), (78),
% 172.23/26.53  | | | | | | | | | | | | | | | |            (82), (83), (86), (87), (89), (91), (93), (94),
% 172.23/26.53  | | | | | | | | | | | | | | | |            (95), (98), (101), (102), (105), (108), (112),
% 172.23/26.53  | | | | | | | | | | | | | | | |            (114), (115), (132), (135), (137), (139), (148),
% 172.23/26.53  | | | | | | | | | | | | | | | |            (151), (153), (159), (164), (166), (168), (171),
% 172.23/26.53  | | | | | | | | | | | | | | | |            (172), (173), (182), (188), (203), (207) are
% 172.23/26.53  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #247.
% 172.23/26.53  | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | Case 2:
% 172.23/26.53  | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | |   (208)   ~ (all_56_4 = e3)
% 172.23/26.53  | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | REDUCE: (77), (208) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | |   (209)   ~ (all_52_8 = e3)
% 172.23/26.53  | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 172.23/26.53  | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.53  | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | |   (210)  all_58_26 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | COMBINE_EQS: (53), (210) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | |   (211)  e1 = e0
% 172.23/26.53  | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | REDUCE: (113), (211) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | |   (212)  $false
% 172.23/26.53  | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | CLOSE: (212) is inconsistent.
% 172.23/26.53  | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.53  | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | |   (213)   ~ (all_58_26 = e1)
% 172.23/26.53  | | | | | | | | | | | | | | | | |   (214)  all_58_24 = e3 | all_58_25 = e2
% 172.23/26.53  | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | REDUCE: (53), (213) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | |   (215)   ~ (e1 = e0)
% 172.23/26.53  | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 172.23/26.53  | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | |   (216)  all_58_25 = e2
% 172.23/26.53  | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (102), (216) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | |   (217)  all_52_9 = e2
% 172.23/26.53  | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | SIMP: (217) implies:
% 172.23/26.53  | | | | | | | | | | | | | | | | | |   (218)  all_52_9 = e2
% 172.23/26.53  | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (218) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | |   (219)  all_56_5 = e2
% 172.23/26.53  | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | REDUCE: (92), (218) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | |   (220)   ~ (all_52_1 = e2)
% 172.23/26.53  | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | REDUCE: (66), (218) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | |   (221)   ~ (all_52_8 = e2)
% 172.23/26.53  | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | REDUCE: (79), (218) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | |   (222)   ~ (all_10_1 = e2)
% 172.23/26.53  | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | SIMP: (222) implies:
% 172.23/26.53  | | | | | | | | | | | | | | | | | |   (223)   ~ (all_10_1 = e2)
% 172.23/26.53  | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | REDUCE: (21), (218) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | |   (224)   ~ (all_4_2 = e2)
% 172.23/26.53  | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | SIMP: (224) implies:
% 172.23/26.53  | | | | | | | | | | | | | | | | | |   (225)   ~ (all_4_2 = e2)
% 172.23/26.53  | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | |   (226)  all_54_2 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (35), (226) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | |   (227)  all_52_8 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | SIMP: (227) implies:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | |   (228)  all_52_8 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (93), (228) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | |   (229)  all_58_24 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | REDUCE: (68), (228) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | |   (230)   ~ (all_10_1 = e1)
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | SIMP: (230) implies:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | |   (231)   ~ (all_10_1 = e1)
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | REDUCE: (221), (228) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | |   (232)   ~ (e2 = e1)
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | BETA: splitting (176) gives:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | |   (233)  all_54_14 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (59), (233) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | |   (234)  all_10_1 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | REDUCE: (231), (234) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | |   (235)  $false
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | CLOSE: (235) is inconsistent.
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | |   (236)   ~ (all_54_14 = e1)
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | |   (237)  all_54_14 = e3 | all_54_14 = e2
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | |   (238)  all_58_22 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (95), (238) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | |   (239)  all_52_6 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (114), (239) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | |   (240)  all_56_7 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (239) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | |   (241)   ~ (all_52_14 = e1)
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | SIMP: (241) implies:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | |   (242)   ~ (all_52_14 = e1)
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (239) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | |   (243)   ~ (all_4_2 = e1)
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | SIMP: (243) implies:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | |   (244)   ~ (all_4_2 = e1)
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | |   (245)  all_56_2 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (67), (245) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | |   (246)  all_52_1 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (46), (246) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | |   (247)  all_58_17 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | |   (248)  all_54_14 = e2
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (59), (248) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | |   (249)  all_10_1 = e2
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (223), (249) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | |   (250)  $false
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (250) is inconsistent.
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | |   (251)  all_54_14 = e3
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (59), (251) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | |   (252)  all_10_1 = e3
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (98), (252) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | |   (253)  all_58_27 = e3
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (252) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | |   (254)   ~ (all_52_7 = e3)
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (86), (252) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | |   (255)   ~ (all_14_2 = e3)
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (72) gives:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | |   (256)  all_56_1 = e3
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (69), (146), (256) are inconsistent by sub-proof
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | |            #749.
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | |   (257)   ~ (all_56_1 = e3)
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | |   (258)  all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (257) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | |   (259)   ~ (e3 = e0)
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  all_56_3 = e3
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (97), (260) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  all_4_2 = e3
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (105), (261) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  all_58_21 = e3
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  all_58_30 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (42), (263) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  all_52_14 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (242), (264) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  $false
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (265) is inconsistent.
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)   ~ (all_58_30 = e1)
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  all_58_28 = e3 | all_58_29 = e2
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (60) gives:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  all_56_9 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (49), (268) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  all_52_12 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (269) implies:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  all_52_12 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (112), (270) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  all_58_28 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (108), (135), (267), (271) are inconsistent
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  all_56_10 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (132), (273) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  e1 = e0
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (274) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)  $false
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (275) is inconsistent.
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)  all_56_11 = e1 | all_56_15 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (276) gives:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)  all_56_11 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (242), (277) are inconsistent by sub-proof
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #854.
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  all_56_15 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18), (278) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  all_14_2 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (279) implies:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  all_14_2 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (29), (280) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  all_58_31 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (255), (280) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)   ~ (e3 = e1)
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (118) gives:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  all_56_12 = e2
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (159), (283) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  e2 = e0
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (284) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  $false
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (285) is inconsistent.
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)   ~ (all_56_12 = e2)
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (286) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)   ~ (e2 = e0)
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  all_58_31 = e0
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (289) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  e1 = e0
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (290) imply:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  $false
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (291) is inconsistent.
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 |
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  all_58_26 = e1
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (53), (113), (293) are inconsistent by sub-proof
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #312.
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_18 = e1 & all_58_20 = e3 & all_58_24 =
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_20 = e3 & all_58_28 = e0) | (all_58_17 =
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_17 = e3 & all_58_20 = e3 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_23 = e2 & all_58_29 = e2) | (all_58_17 =
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3) | (all_58_17 = e2 & all_58_19 = e3 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_20 = e2 & all_58_28 = e3) | (all_58_17 =
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_23 = e0 & all_58_29 = e0) | (all_58_17 =
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_19 = e0 & all_58_24 = e3 & all_58_28 =
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_24 = e3 & all_58_25 = e1) | (all_58_18 =
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_24 = e1 & all_58_28 = e3) | (all_58_18 =
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_18 =
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_28 = e3 & all_58_29 =
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 =
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 =
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_25 = e2 & all_58_29 =
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_22 = e2 & all_58_25 = e2 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e1 & all_58_30 = e1) | (all_58_22 =
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_22 = e1 & all_58_25 = e1 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_22 =
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_27 = e0 & all_58_29 = e2 & all_58_30 =
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_23 = e0 & all_58_27 = e1 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_29 = e0 & all_58_30 = e1) | (all_58_23 =
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0 & e1 = e0)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (294) gives:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  all_58_21 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (295) imply:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  e3 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (296) imply:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  $false
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (297) is inconsistent.
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)   ~ (all_58_21 = e2)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  all_58_16 = e3 | (all_58_17 = e3 & all_58_18 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_20 = e3 & all_58_24 = e1) | (all_58_17
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0) | (all_58_17 = e3 & all_58_20 =
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_18 = e1 & all_58_24
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 =
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e3 & all_58_29 = e0) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_19 = e0 & all_58_23
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_19 = e0 & all_58_28
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e3 = e0) | (all_58_22 = e2 & all_58_23 =
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_25 = e2 & all_58_29 = e0) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (299) gives:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  all_58_16 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (64), (300) imply:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  all_6_2 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (39), (301) imply:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  all_56_0 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (17), (38), (44), (49), (51), (57), (69),
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (77), (95), (103), (105), (108), (116), (146),
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (148), (155), (185), (193), (221), (225), (302)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #326.
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (307) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  all_58_20 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  all_58_17 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (309) imply:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  e3 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (310) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  e3 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (148), (308) imply:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  e3 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (311), (312) are inconsistent by sub-proof
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #306.
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_17 = e3 & all_58_20
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_22 = e2 & all_58_25 = e2)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (314) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  all_58_20 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  all_58_17 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (148), (247), (315), (316) are inconsistent
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #246.
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (317) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  all_58_20 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  all_58_17 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (148), (247), (318), (319) are inconsistent
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #246.
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (321) gives:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (322) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  all_58_29 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  all_58_23 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7), (324) imply:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  all_52_7 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (135), (323) imply:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  e2 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (52), (65), (108), (223), (278), (287),
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (325), (326) are inconsistent by sub-proof #245.
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (327) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  all_58_20 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  all_58_17 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (148), (247), (328), (329) are inconsistent
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #244.
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (330) gives:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (331) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  all_58_20 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  all_58_17 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (333) imply:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  e2 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (334) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  e2 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (148), (332) imply:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  e2 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (336) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  e2 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (335), (337) are inconsistent by sub-proof
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #308.
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (338) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  all_58_25 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  all_58_20 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (148), (340) imply:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  e2 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (341) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  e2 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (216), (339) imply:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  e2 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (343) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  e2 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (342), (344) are inconsistent by sub-proof
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #308.
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (345) gives:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (346)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (346) gives:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (347) gives:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (348) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  all_58_23 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (47), (52), (65), (108), (223), (278), (287),
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (349) are inconsistent by sub-proof #243.
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  all_58_17 = e2 & all_58_20 = e2 & e3 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (350) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  all_58_20 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (352)  all_58_17 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (148), (247), (351), (352) are inconsistent
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #244.
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (353)  (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (353) gives:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (354)  all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (354) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (355)  all_58_24 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (229), (355) are inconsistent by sub-proof
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #305.
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (356)  all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (356) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (357)  all_58_25 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (52), (216), (357) are inconsistent by sub-proof
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #817.
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (358)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (358) gives:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (359)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (360) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (361)  all_58_27 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (253), (361) imply:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (362)  e3 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (362) imply:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  $false
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (363) is inconsistent.
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (364) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (365)  all_58_19 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (69), (162), (365) are inconsistent by sub-proof
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #304.
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (366)  (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (366) gives:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (367)  all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (367) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (368)  all_58_22 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (52), (238), (368) are inconsistent by sub-proof
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #490.
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (369)  all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (369) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (370)  all_58_27 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (253), (370) imply:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (371)  e3 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (371) imply:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (372)  $false
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (372) is inconsistent.
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (373)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (373) gives:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (374)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (375)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (375) gives:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (376)  all_58_18 = e1 & all_58_24 = e1 & e3 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (376) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (377)  e3 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (377) imply:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (378)  $false
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (378) is inconsistent.
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (379)  (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (379) gives:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (380)  all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (380) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (381)  all_58_23 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (47), (52), (65), (108), (223), (278), (287),
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (381) are inconsistent by sub-proof #243.
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (382)  all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (382) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (383)  all_58_27 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (253), (383) imply:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (384)  e3 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (384) imply:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (385)  $false
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (385) is inconsistent.
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (386)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (386) gives:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (387)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (387) gives:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (388)  all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (388) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (389)  all_58_29 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (390)  all_58_23 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7), (390) imply:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (391)  all_52_7 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (135), (389) imply:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (392)  e2 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (52), (65), (108), (223), (278), (287),
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (391), (392) are inconsistent by sub-proof #245.
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (393)  all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (393) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (394)  all_58_27 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (253), (394) imply:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (395)  e3 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (395) imply:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (396)  $false
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (396) is inconsistent.
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (397)  (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (397) gives:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (398)  all_58_19 = e0 & all_58_28 = e0 & e3 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (398) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (399)  e3 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (399) imply:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (400)  $false
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (400) is inconsistent.
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (401)  all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (401) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (402)  all_58_23 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (47), (52), (65), (108), (223), (278), (287),
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (402) are inconsistent by sub-proof #243.
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (403)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (404)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (404) gives:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (405)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (405) gives:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (406)  all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (406) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (407)  all_58_22 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (52), (238), (407) are inconsistent by sub-proof
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #490.
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (408)  all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (408) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (409)  all_58_29 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (410)  all_58_23 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7), (410) imply:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (411)  all_52_7 = e2
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (135), (409) imply:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (412)  e2 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (52), (65), (108), (223), (278), (287),
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (411), (412) are inconsistent by sub-proof #245.
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (413)  (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (413) gives:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (414)  all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (414) implies:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (415)  all_58_25 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (216), (415) imply:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (416)  e2 = e1
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (416) imply:
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (417)  $false
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (417) is inconsistent.
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (418)  all_58_22 = e1 & all_58_25 = e1 & e2 = e1
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (418) implies:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (419)  all_58_25 = e1
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (216), (419) imply:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (420)  e2 = e1
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (420) imply:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (421)  $false
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (421) is inconsistent.
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (422)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (422) gives:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (423)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1)
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (423) gives:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (424)  all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (424) implies:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (425)  all_58_29 = e2
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (426)  all_58_23 = e2
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7), (426) imply:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (427)  all_52_7 = e2
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (135), (425) imply:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (428)  e2 = e0
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (428) implies:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (429)  e2 = e0
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (52), (65), (108), (223), (278), (287),
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (427), (429) are inconsistent by sub-proof #245.
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (430)  all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (430) implies:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (431)  all_58_23 = e0
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (47), (52), (65), (108), (223), (278), (287),
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (431) are inconsistent by sub-proof #243.
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (432)  (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (432) gives:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (433)  all_58_23 = e0 & all_58_29 = e0 & e2 = e0
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (433) implies:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (434)  all_58_23 = e0
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (47), (52), (65), (108), (223), (278), (287),
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (434) are inconsistent by sub-proof #243.
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (435)  all_58_27 = e0 & all_58_30 = e0 & e1 = e0
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (435) implies:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (436)  e1 = e0
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (436) imply:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (437)  $false
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (437) is inconsistent.
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (438)  all_56_7 = e3 | all_56_13 = e3
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (65), (240), (254), (438) are inconsistent by
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #738.
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | |   (439)  all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (52), (97), (113), (132), (219), (244), (439) are
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #242.
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | |   (440)  all_58_20 = e3 | all_58_21 = e2
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (69), (105), (148), (225), (440) are inconsistent
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #974.
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | End of split
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | |   (441)   ~ (all_54_2 = e1)
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | REDUCE: (35), (441) imply:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | |   (442)   ~ (all_52_8 = e1)
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | BETA: splitting (80) gives:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | |   (443)  all_56_4 = e1
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (77), (443) imply:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | |   (444)  all_52_8 = e1
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | REDUCE: (442), (444) imply:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | |   (445)  $false
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | CLOSE: (445) is inconsistent.
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | |   (446)  all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | BETA: splitting (446) gives:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | |   (447)  all_56_5 = e1
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (219), (447) imply:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | |   (448)  e2 = e1
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (448) imply:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | |   (449)  $false
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | CLOSE: (449) is inconsistent.
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | |   (450)  all_56_8 = e1 | all_56_14 = e1
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (450) gives:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | |   (451)  all_56_8 = e1
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (54), (451) imply:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | |   (452)  e1 = e0
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (452) imply:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | |   (453)  $false
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (453) is inconsistent.
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | |   (454)  all_56_14 = e1
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (47), (454) imply:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | |   (455)  all_10_1 = e1
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | SIMP: (455) implies:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | |   (456)  all_10_1 = e1
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (86), (456) imply:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | |   (457)   ~ (all_14_2 = e1)
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | 
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (223), (456) imply:
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | |   (458)   ~ (e2 = e1)
% 172.23/26.55  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.55  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (11), (12), (13), (14), (18),
% 172.28/26.55  | | | | | | | | | | | | | | | | | | | | | |            (20), (21), (26), (29), (32), (33), (34), (36),
% 172.28/26.55  | | | | | | | | | | | | | | | | | | | | | |            (37), (39), (40), (42), (45), (47), (49), (51),
% 172.28/26.55  | | | | | | | | | | | | | | | | | | | | | |            (52), (53), (54), (58), (60), (62), (65), (67),
% 172.28/26.55  | | | | | | | | | | | | | | | | | | | | | |            (68), (69), (73), (74), (75), (76), (77), (78),
% 172.28/26.55  | | | | | | | | | | | | | | | | | | | | | |            (82), (83), (86), (87), (89), (91), (93), (94),
% 172.28/26.55  | | | | | | | | | | | | | | | | | | | | | |            (95), (98), (101), (102), (105), (108), (112),
% 172.28/26.55  | | | | | | | | | | | | | | | | | | | | | |            (113), (114), (115), (132), (135), (137), (139),
% 172.28/26.55  | | | | | | | | | | | | | | | | | | | | | |            (148), (151), (153), (159), (164), (166), (168),
% 172.28/26.55  | | | | | | | | | | | | | | | | | | | | | |            (171), (172), (173), (182), (188), (457) are
% 172.28/26.55  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #319.
% 172.28/26.55  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.55  | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.55  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.55  | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.55  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.55  | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.55  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.55  | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.55  | | | | | | | | | | | | | | | | | | 
% 172.28/26.55  | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.55  | | | | | | | | | | | | | | | | | | 
% 172.28/26.55  | | | | | | | | | | | | | | | | | |   (459)  all_58_24 = e3
% 172.28/26.55  | | | | | | | | | | | | | | | | | | 
% 172.28/26.55  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (93), (459) imply:
% 172.28/26.55  | | | | | | | | | | | | | | | | | |   (460)  all_52_8 = e3
% 172.28/26.55  | | | | | | | | | | | | | | | | | | 
% 172.28/26.55  | | | | | | | | | | | | | | | | | | REDUCE: (209), (460) imply:
% 172.28/26.55  | | | | | | | | | | | | | | | | | |   (461)  $false
% 172.28/26.55  | | | | | | | | | | | | | | | | | | 
% 172.28/26.55  | | | | | | | | | | | | | | | | | | CLOSE: (461) is inconsistent.
% 172.28/26.55  | | | | | | | | | | | | | | | | | | 
% 172.28/26.55  | | | | | | | | | | | | | | | | | End of split
% 172.28/26.55  | | | | | | | | | | | | | | | | | 
% 172.28/26.55  | | | | | | | | | | | | | | | | End of split
% 172.28/26.55  | | | | | | | | | | | | | | | | 
% 172.28/26.55  | | | | | | | | | | | | | | | End of split
% 172.28/26.55  | | | | | | | | | | | | | | | 
% 172.28/26.55  | | | | | | | | | | | | | | End of split
% 172.28/26.55  | | | | | | | | | | | | | | 
% 172.28/26.55  | | | | | | | | | | | | | End of split
% 172.28/26.55  | | | | | | | | | | | | | 
% 172.28/26.55  | | | | | | | | | | | | End of split
% 172.28/26.55  | | | | | | | | | | | | 
% 172.28/26.55  | | | | | | | | | | | End of split
% 172.28/26.55  | | | | | | | | | | | 
% 172.28/26.55  | | | | | | | | | | End of split
% 172.28/26.55  | | | | | | | | | | 
% 172.28/26.55  | | | | | | | | | End of split
% 172.28/26.55  | | | | | | | | | 
% 172.28/26.55  | | | | | | | | End of split
% 172.28/26.55  | | | | | | | | 
% 172.28/26.55  | | | | | | | End of split
% 172.28/26.55  | | | | | | | 
% 172.28/26.55  | | | | | | End of split
% 172.28/26.55  | | | | | | 
% 172.28/26.55  | | | | | Case 2:
% 172.28/26.55  | | | | | | 
% 172.28/26.55  | | | | | |   (462)   ~ (all_56_1 = e0)
% 172.28/26.55  | | | | | | 
% 172.28/26.55  | | | | | | REDUCE: (2), (462) imply:
% 172.28/26.55  | | | | | |   (463)   ~ (all_52_4 = e0)
% 172.28/26.55  | | | | | | 
% 172.28/26.55  | | | | | | REF_CLOSE: (2), (3), (22), (56), (63), (65), (91), (97), (104),
% 172.28/26.55  | | | | | |            (114), (128), (139), (463) are inconsistent by sub-proof
% 172.28/26.55  | | | | | |            #653.
% 172.28/26.55  | | | | | | 
% 172.28/26.55  | | | | | End of split
% 172.28/26.55  | | | | | 
% 172.28/26.55  | | | | End of split
% 172.28/26.55  | | | | 
% 172.28/26.55  | | | End of split
% 172.28/26.55  | | | 
% 172.28/26.55  | | End of split
% 172.28/26.55  | | 
% 172.28/26.55  | End of split
% 172.28/26.55  | 
% 172.28/26.55  End of proof
% 172.28/26.55  
% 172.28/26.55  Sub-proof #242 shows that the following formulas are inconsistent:
% 172.28/26.55  ----------------------------------------------------------------
% 172.28/26.55    (1)  all_56_5 = e2
% 172.28/26.55    (2)  all_56_10 = e0
% 172.28/26.55    (3)   ~ (all_4_2 = e1)
% 172.28/26.55    (4)   ~ (e2 = e1)
% 172.28/26.55    (5)  all_56_3 = all_4_2
% 172.28/26.55    (6)  all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.28/26.55    (7)   ~ (e1 = e0)
% 172.28/26.55  
% 172.28/26.55  Begin of proof
% 172.28/26.55  | 
% 172.28/26.55  | BETA: splitting (6) gives:
% 172.28/26.55  | 
% 172.28/26.55  | Case 1:
% 172.28/26.55  | | 
% 172.28/26.55  | |   (8)  all_56_3 = e1
% 172.28/26.55  | | 
% 172.28/26.55  | | COMBINE_EQS: (5), (8) imply:
% 172.28/26.55  | |   (9)  all_4_2 = e1
% 172.28/26.55  | | 
% 172.28/26.55  | | REDUCE: (3), (9) imply:
% 172.28/26.55  | |   (10)  $false
% 172.28/26.55  | | 
% 172.28/26.55  | | CLOSE: (10) is inconsistent.
% 172.28/26.55  | | 
% 172.28/26.55  | Case 2:
% 172.28/26.55  | | 
% 172.28/26.55  | |   (11)  all_56_5 = e1 | all_56_10 = e1
% 172.28/26.55  | | 
% 172.28/26.55  | | BETA: splitting (11) gives:
% 172.28/26.55  | | 
% 172.28/26.55  | | Case 1:
% 172.28/26.55  | | | 
% 172.28/26.55  | | |   (12)  all_56_5 = e1
% 172.28/26.55  | | | 
% 172.28/26.55  | | | COMBINE_EQS: (1), (12) imply:
% 172.28/26.55  | | |   (13)  e2 = e1
% 172.28/26.55  | | | 
% 172.28/26.55  | | | REDUCE: (4), (13) imply:
% 172.28/26.55  | | |   (14)  $false
% 172.28/26.55  | | | 
% 172.28/26.55  | | | CLOSE: (14) is inconsistent.
% 172.28/26.55  | | | 
% 172.28/26.55  | | Case 2:
% 172.28/26.55  | | | 
% 172.28/26.55  | | |   (15)  all_56_10 = e1
% 172.28/26.55  | | | 
% 172.28/26.55  | | | COMBINE_EQS: (2), (15) imply:
% 172.28/26.55  | | |   (16)  e1 = e0
% 172.28/26.55  | | | 
% 172.28/26.55  | | | REDUCE: (7), (16) imply:
% 172.28/26.55  | | |   (17)  $false
% 172.28/26.55  | | | 
% 172.28/26.55  | | | CLOSE: (17) is inconsistent.
% 172.28/26.55  | | | 
% 172.28/26.55  | | End of split
% 172.28/26.55  | | 
% 172.28/26.55  | End of split
% 172.28/26.55  | 
% 172.28/26.55  End of proof
% 172.28/26.55  
% 172.28/26.55  Sub-proof #243 shows that the following formulas are inconsistent:
% 172.28/26.55  ----------------------------------------------------------------
% 172.28/26.55    (1)  all_58_23 = all_52_7
% 172.28/26.55    (2)   ~ (all_10_1 = e2)
% 172.28/26.55    (3)  all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 172.28/26.55    (4)  all_56_14 = all_10_1
% 172.28/26.55    (5)   ~ (e2 = e1)
% 172.28/26.55    (6)  all_56_13 = all_52_7
% 172.28/26.55    (7)   ~ (e2 = e0)
% 172.28/26.55    (8)  all_58_23 = e0
% 172.28/26.55    (9)  all_56_15 = e1
% 172.28/26.55  
% 172.28/26.55  Begin of proof
% 172.28/26.55  | 
% 172.28/26.55  | COMBINE_EQS: (1), (8) imply:
% 172.28/26.55  |   (10)  all_52_7 = e0
% 172.28/26.55  | 
% 172.28/26.55  | COMBINE_EQS: (6), (10) imply:
% 172.28/26.55  |   (11)  all_56_13 = e0
% 172.28/26.55  | 
% 172.28/26.55  | REF_CLOSE: (2), (3), (4), (5), (7), (9), (11) are inconsistent by sub-proof
% 172.28/26.55  |            #269.
% 172.28/26.55  | 
% 172.28/26.55  End of proof
% 172.28/26.55  
% 172.28/26.55  Sub-proof #244 shows that the following formulas are inconsistent:
% 172.28/26.55  ----------------------------------------------------------------
% 172.28/26.55    (1)  all_58_17 = e1
% 172.28/26.55    (2)  all_58_20 = e0
% 172.28/26.55    (3)  all_58_20 = e2
% 172.28/26.55    (4)  all_58_17 = e2
% 172.28/26.55    (5)   ~ (e1 = e0)
% 172.28/26.55  
% 172.28/26.55  Begin of proof
% 172.28/26.55  | 
% 172.28/26.55  | COMBINE_EQS: (1), (4) imply:
% 172.28/26.55  |   (6)  e2 = e1
% 172.28/26.55  | 
% 172.28/26.55  | SIMP: (6) implies:
% 172.28/26.55  |   (7)  e2 = e1
% 172.28/26.55  | 
% 172.28/26.55  | COMBINE_EQS: (2), (3) imply:
% 172.28/26.55  |   (8)  e2 = e0
% 172.28/26.55  | 
% 172.28/26.55  | REF_CLOSE: (5), (7), (8) are inconsistent by sub-proof #292.
% 172.28/26.55  | 
% 172.28/26.55  End of proof
% 172.28/26.55  
% 172.28/26.55  Sub-proof #245 shows that the following formulas are inconsistent:
% 172.28/26.55  ----------------------------------------------------------------
% 172.28/26.55    (1)   ~ (all_10_1 = e2)
% 172.28/26.55    (2)  all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 172.28/26.55    (3)  all_52_7 = e2
% 172.28/26.55    (4)  all_56_14 = all_10_1
% 172.28/26.55    (5)   ~ (e2 = e1)
% 172.28/26.55    (6)  all_56_13 = all_52_7
% 172.28/26.55    (7)   ~ (e2 = e0)
% 172.28/26.55    (8)  e2 = e0
% 172.28/26.55    (9)  all_56_15 = e1
% 172.28/26.55  
% 172.28/26.55  Begin of proof
% 172.28/26.55  | 
% 172.28/26.55  | COMBINE_EQS: (3), (8) imply:
% 172.28/26.55  |   (10)  all_52_7 = e0
% 172.28/26.55  | 
% 172.28/26.55  | COMBINE_EQS: (6), (10) imply:
% 172.28/26.55  |   (11)  all_56_13 = e0
% 172.28/26.55  | 
% 172.28/26.55  | REF_CLOSE: (1), (2), (4), (5), (7), (9), (11) are inconsistent by sub-proof
% 172.28/26.55  |            #269.
% 172.28/26.55  | 
% 172.28/26.55  End of proof
% 172.28/26.55  
% 172.28/26.55  Sub-proof #246 shows that the following formulas are inconsistent:
% 172.28/26.55  ----------------------------------------------------------------
% 172.28/26.55    (1)  all_58_17 = e1
% 172.28/26.55    (2)  all_58_17 = e3
% 172.28/26.55    (3)  all_58_20 = e0
% 172.28/26.55    (4)  all_58_20 = e3
% 172.28/26.55    (5)   ~ (e1 = e0)
% 172.28/26.55  
% 172.28/26.55  Begin of proof
% 172.28/26.55  | 
% 172.28/26.55  | COMBINE_EQS: (1), (2) imply:
% 172.28/26.55  |   (6)  e3 = e1
% 172.28/26.55  | 
% 172.28/26.55  | SIMP: (6) implies:
% 172.28/26.55  |   (7)  e3 = e1
% 172.28/26.55  | 
% 172.28/26.55  | COMBINE_EQS: (3), (4) imply:
% 172.28/26.55  |   (8)  e3 = e0
% 172.28/26.55  | 
% 172.28/26.55  | SIMP: (8) implies:
% 172.28/26.55  |   (9)  e3 = e0
% 172.28/26.55  | 
% 172.28/26.55  | REF_CLOSE: (5), (7), (9) are inconsistent by sub-proof #310.
% 172.28/26.55  | 
% 172.28/26.55  End of proof
% 172.28/26.55  
% 172.28/26.55  Sub-proof #247 shows that the following formulas are inconsistent:
% 172.28/26.55  ----------------------------------------------------------------
% 172.28/26.55    (1)   ~ (all_52_8 = all_52_12)
% 172.28/26.55    (2)   ~ (e3 = e1)
% 172.28/26.55    (3)  all_58_23 = all_52_7
% 172.28/26.55    (4)   ~ (all_52_2 = all_6_2)
% 172.28/26.55    (5)  all_54_3 = all_52_12
% 172.28/26.55    (6)  all_56_5 = all_52_9
% 172.28/26.55    (7)  all_58_10 = all_52_14
% 172.28/26.55    (8)   ~ (all_52_12 = all_6_2)
% 172.28/26.55    (9)  all_56_10 = e0
% 172.28/26.55    (10)  all_56_15 = all_14_2
% 172.28/26.55    (11)   ~ (all_14_2 = e0)
% 172.28/26.55    (12)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 172.28/26.55    (13)   ~ (all_52_9 = all_4_2)
% 172.28/26.55    (14)  all_58_12 = all_14_2
% 172.28/26.55    (15)  all_56_12 = e0
% 172.28/26.55    (16)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.28/26.55    (17)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.28/26.55    (18)   ~ (all_52_12 = e3)
% 172.28/26.55    (19)  all_58_31 = all_14_2
% 172.28/26.55    (20)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.28/26.55    (21)   ~ (all_52_1 = all_6_2)
% 172.28/26.55    (22)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 172.28/26.55    (23)  all_56_11 = all_52_14
% 172.28/26.55    (24)   ~ (all_52_6 = all_52_7)
% 172.28/26.55    (25)  all_56_0 = all_6_2
% 172.28/26.55    (26)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.28/26.55    (27)  all_58_30 = all_52_14
% 172.28/26.55    (28)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 172.28/26.55    (29)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.28/26.55    (30)  all_58_20 = e0
% 172.28/26.55    (31)  all_56_14 = all_10_1
% 172.28/26.55    (32)  all_56_9 = all_52_12
% 172.28/26.55    (33)   ~ (e3 = e2)
% 172.28/26.55    (34)   ~ (e2 = e1)
% 172.28/26.55    (35)  all_58_26 = e0
% 172.28/26.55    (36)  all_56_8 = e0
% 172.28/26.55    (37)   ~ (all_52_1 = all_4_2)
% 172.28/26.55    (38)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.28/26.55    (39)  all_58_7 = e0
% 172.28/26.55    (40)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.28/26.55    (41)  all_56_13 = all_52_7
% 172.28/26.55    (42)   ~ (all_52_12 = e0)
% 172.28/26.55    (43)  all_56_2 = all_52_1
% 172.28/26.55    (44)   ~ (all_52_8 = all_10_1)
% 172.28/26.55    (45)   ~ (e3 = e0)
% 172.28/26.55    (46)   ~ (all_4_2 = e0)
% 172.28/26.55    (47)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.28/26.55    (48)   ~ (all_6_2 = e0)
% 172.28/26.55    (49)   ~ (all_52_6 = all_52_14)
% 172.28/26.55    (50)   ~ (all_52_7 = all_4_2)
% 172.28/26.55    (51)  all_56_4 = all_52_8
% 172.28/26.55    (52)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.28/26.55    (53)  all_54_13 = all_52_7
% 172.28/26.55    (54)  all_54_15 = all_14_2
% 172.28/26.55    (55)   ~ (all_14_2 = all_10_1)
% 172.28/26.55    (56)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.28/26.55    (57)   ~ (all_52_8 = all_6_2)
% 172.28/26.55    (58)  all_56_6 = all_52_2
% 172.28/26.55    (59)   ~ (all_52_7 = e0)
% 172.28/26.55    (60)  all_58_24 = all_52_8
% 172.28/26.55    (61)   ~ (all_52_12 = all_52_14)
% 172.28/26.55    (62)  all_58_22 = all_52_6
% 172.28/26.55    (63)  all_58_29 = e0
% 172.28/26.55    (64)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 172.28/26.55    (65)  all_58_1 = all_52_12
% 172.28/26.55    (66)  all_58_27 = all_10_1
% 172.28/26.55    (67)   ~ (all_52_14 = all_14_2)
% 172.28/26.55    (68)  all_58_25 = all_52_9
% 172.28/26.55    (69)  all_58_21 = all_4_2
% 172.28/26.55    (70)   ~ (e2 = e0)
% 172.28/26.55    (71)   ~ (all_52_14 = e0)
% 172.28/26.55    (72)  all_58_28 = all_52_12
% 172.28/26.55    (73)  all_56_7 = all_52_6
% 172.28/26.55    (74)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.28/26.55            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.28/26.55            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.28/26.55            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.28/26.55            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.28/26.55            (all_58_15 = e0))
% 172.28/26.55    (75)   ~ (all_52_8 = e0)
% 172.28/26.55    (76)   ~ (all_10_1 = e0)
% 172.28/26.55  
% 172.28/26.55  Begin of proof
% 172.28/26.55  | 
% 172.28/26.55  | BETA: splitting (16) gives:
% 172.28/26.55  | 
% 172.28/26.55  | Case 1:
% 172.28/26.55  | | 
% 172.28/26.55  | |   (77)  all_58_30 = e1
% 172.28/26.55  | | 
% 172.28/26.55  | | COMBINE_EQS: (27), (77) imply:
% 172.28/26.55  | |   (78)  all_52_14 = e1
% 172.28/26.55  | | 
% 172.28/26.55  | | REDUCE: (67), (78) imply:
% 172.28/26.55  | |   (79)   ~ (all_14_2 = e1)
% 172.28/26.55  | | 
% 172.28/26.55  | | SIMP: (79) implies:
% 172.28/26.55  | |   (80)   ~ (all_14_2 = e1)
% 172.28/26.55  | | 
% 172.28/26.55  | | REDUCE: (71), (78) imply:
% 172.28/26.55  | |   (81)   ~ (e1 = e0)
% 172.28/26.55  | | 
% 172.28/26.55  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 172.28/26.55  | |            (13), (14), (15), (17), (19), (20), (21), (22), (23), (24), (25),
% 172.28/26.55  | |            (26), (27), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 172.28/26.55  | |            (37), (38), (39), (40), (41), (42), (43), (44), (45), (46), (47),
% 172.28/26.55  | |            (48), (49), (50), (51), (52), (53), (54), (55), (56), (57), (58),
% 172.28/26.55  | |            (59), (60), (61), (62), (63), (64), (65), (66), (67), (68), (69),
% 172.28/26.55  | |            (70), (71), (72), (73), (74), (75), (76), (80), (81) are
% 172.28/26.55  | |            inconsistent by sub-proof #319.
% 172.28/26.55  | | 
% 172.28/26.55  | Case 2:
% 172.28/26.55  | | 
% 172.28/26.55  | |   (82)  all_58_28 = e3 | all_58_29 = e2
% 172.28/26.55  | | 
% 172.28/26.55  | | REF_CLOSE: (18), (63), (70), (72), (82) are inconsistent by sub-proof #869.
% 172.28/26.55  | | 
% 172.28/26.55  | End of split
% 172.28/26.55  | 
% 172.28/26.55  End of proof
% 172.28/26.55  
% 172.28/26.55  Sub-proof #248 shows that the following formulas are inconsistent:
% 172.28/26.55  ----------------------------------------------------------------
% 172.28/26.55    (1)  all_56_12 = all_52_3
% 172.28/26.55    (2)   ~ (e3 = e1)
% 172.28/26.55    (3)   ~ (all_52_2 = all_6_2)
% 172.28/26.55    (4)  all_58_3 = e0
% 172.28/26.55    (5)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.28/26.55    (6)  all_56_5 = all_52_9
% 172.28/26.55    (7)  all_58_10 = all_52_14
% 172.28/26.55    (8)  op(e1, e0) = all_52_14
% 172.28/26.55    (9)  all_56_15 = all_14_2
% 172.28/26.55    (10)   ~ (all_52_6 = e1)
% 172.28/26.55    (11)   ~ (all_14_2 = e0)
% 172.28/26.55    (12)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.28/26.55    (13)   ~ (all_52_9 = e0)
% 172.28/26.55    (14)  all_58_31 = all_14_2
% 172.28/26.55    (15)  all_56_9 = e0
% 172.28/26.55    (16)  all_56_11 = all_52_14
% 172.28/26.55    (17)  all_56_0 = all_6_2
% 172.28/26.55    (18)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.28/26.55    (19)  all_58_30 = all_52_14
% 172.28/26.55    (20)  all_58_4 = all_52_13
% 172.28/26.55    (21)  all_56_14 = all_10_1
% 172.28/26.55    (22)  all_58_19 = all_52_3
% 172.28/26.55    (23)  all_56_2 = e0
% 172.28/26.55    (24)   ~ (e3 = e2)
% 172.28/26.55    (25)   ~ (e2 = e1)
% 172.28/26.55    (26)  all_58_26 = e0
% 172.28/26.55    (27)  all_56_8 = e0
% 172.28/26.55    (28)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.28/26.55    (29)   ~ (all_52_13 = all_14_2)
% 172.28/26.55    (30)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.28/26.55    (31)  all_58_28 = e0
% 172.28/26.55    (32)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.28/26.55    (33)   ~ (all_52_13 = all_52_14)
% 172.28/26.55    (34)  all_58_18 = all_52_2
% 172.28/26.55    (35)  all_58_16 = all_6_2
% 172.28/26.55    (36)   ~ (e3 = e0)
% 172.28/26.55    (37)  all_58_29 = all_52_13
% 172.28/26.55    (38)  op(all_10_1, e0) = all_10_0
% 172.28/26.55    (39)   ~ (all_6_2 = e0)
% 172.28/26.55    (40)  all_56_4 = all_52_8
% 172.28/26.55    (41)   ~ (all_52_9 = all_10_1)
% 172.28/26.55    (42)  all_58_17 = e0
% 172.28/26.55    (43)   ~ (all_14_2 = all_10_1)
% 172.28/26.55    (44)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 172.28/26.55    (45)   ~ (all_52_8 = all_6_2)
% 172.28/26.55    (46)  all_56_6 = all_52_2
% 172.28/26.55    (47)  all_58_13 = all_14_2
% 172.28/26.55    (48)  all_56_13 = e0
% 172.28/26.55    (49)  all_58_24 = all_52_8
% 172.28/26.55    (50)  all_58_27 = all_10_1
% 172.28/26.55    (51)   ~ (all_52_2 = all_52_3)
% 172.28/26.55    (52)   ~ (all_52_14 = all_14_2)
% 172.28/26.55    (53)  all_58_25 = all_52_9
% 172.28/26.55    (54)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.28/26.55            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.28/26.55    (55)   ~ (all_52_2 = all_52_14)
% 172.28/26.55    (56)  all_56_10 = all_52_13
% 172.28/26.55    (57)   ~ (all_52_3 = e0)
% 172.28/26.55    (58)   ~ (e2 = e0)
% 172.28/26.55    (59)   ~ (all_52_3 = all_10_1)
% 172.28/26.55    (60)   ~ (all_52_14 = e0)
% 172.28/26.55    (61)   ~ (e1 = e0)
% 172.28/26.55    (62)  all_56_7 = all_52_6
% 172.28/26.55    (63)  all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 172.28/26.55    (64)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.28/26.55            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.28/26.55            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.28/26.55            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.28/26.55            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.28/26.55            (all_58_15 = e0))
% 172.28/26.55    (65)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.28/26.55    (66)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 172.28/26.55    (67)   ~ (all_10_1 = e0)
% 172.28/26.55  
% 172.28/26.55  Begin of proof
% 172.28/26.55  | 
% 172.28/26.55  | BETA: splitting (63) gives:
% 172.28/26.55  | 
% 172.28/26.55  | Case 1:
% 172.28/26.55  | | 
% 172.28/26.55  | |   (68)  all_56_7 = e1
% 172.28/26.55  | | 
% 172.28/26.55  | | REF_CLOSE: (10), (62), (68) are inconsistent by sub-proof #662.
% 172.28/26.55  | | 
% 172.28/26.55  | Case 2:
% 172.28/26.55  | | 
% 172.28/26.55  | |   (69)  all_56_8 = e1 | all_56_11 = e1
% 172.28/26.55  | | 
% 172.28/26.55  | | BETA: splitting (69) gives:
% 172.28/26.55  | | 
% 172.28/26.55  | | Case 1:
% 172.28/26.55  | | | 
% 172.28/26.55  | | |   (70)  all_56_8 = e1
% 172.28/26.55  | | | 
% 172.28/26.55  | | | COMBINE_EQS: (27), (70) imply:
% 172.28/26.55  | | |   (71)  e1 = e0
% 172.28/26.55  | | | 
% 172.28/26.55  | | | REDUCE: (61), (71) imply:
% 172.28/26.55  | | |   (72)  $false
% 172.28/26.55  | | | 
% 172.28/26.55  | | | CLOSE: (72) is inconsistent.
% 172.28/26.55  | | | 
% 172.28/26.55  | | Case 2:
% 172.28/26.55  | | | 
% 172.28/26.55  | | |   (73)  all_56_11 = e1
% 172.28/26.55  | | | 
% 172.28/26.55  | | | COMBINE_EQS: (16), (73) imply:
% 172.28/26.55  | | |   (74)  all_52_14 = e1
% 172.28/26.55  | | | 
% 172.28/26.55  | | | SIMP: (74) implies:
% 172.28/26.55  | | |   (75)  all_52_14 = e1
% 172.28/26.55  | | | 
% 172.28/26.55  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13),
% 172.28/26.55  | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 172.28/26.55  | | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33),
% 172.28/26.55  | | |            (34), (35), (36), (37), (38), (39), (40), (41), (42), (43),
% 172.28/26.55  | | |            (44), (45), (46), (47), (48), (49), (50), (51), (52), (53),
% 172.28/26.55  | | |            (54), (55), (56), (57), (58), (59), (60), (64), (65), (66),
% 172.28/26.55  | | |            (67), (75) are inconsistent by sub-proof #255.
% 172.28/26.55  | | | 
% 172.28/26.55  | | End of split
% 172.28/26.55  | | 
% 172.28/26.55  | End of split
% 172.28/26.55  | 
% 172.28/26.55  End of proof
% 172.28/26.55  
% 172.28/26.55  Sub-proof #249 shows that the following formulas are inconsistent:
% 172.28/26.55  ----------------------------------------------------------------
% 172.28/26.55    (1)  all_56_1 = all_52_4
% 172.28/26.55    (2)   ~ (all_52_8 = e1)
% 172.28/26.55    (3)  all_56_12 = all_52_3
% 172.28/26.55    (4)   ~ (e3 = e1)
% 172.28/26.55    (5)   ~ (all_52_4 = all_4_2)
% 172.28/26.55    (6)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.28/26.55    (7)  all_56_5 = all_52_9
% 172.28/26.55    (8)   ~ (all_52_6 = all_4_2)
% 172.28/26.55    (9)  all_56_15 = all_14_2
% 172.28/26.55    (10)  all_56_1 = e1
% 172.28/26.55    (11)  all_54_1 = all_52_4
% 172.28/26.55    (12)   ~ (all_14_2 = e0)
% 172.28/26.55    (13)   ~ (all_52_9 = all_4_2)
% 172.28/26.55    (14)  all_54_6 = all_52_9
% 172.28/26.55    (15)   ~ (all_52_9 = e0)
% 172.28/26.55    (16)   ~ (all_52_4 = all_52_6)
% 172.28/26.55    (17)  all_58_31 = all_14_2
% 172.28/26.55    (18)   ~ (all_52_3 = all_6_2)
% 172.28/26.55    (19)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.28/26.55    (20)   ~ (all_52_4 = e0)
% 172.28/26.55    (21)  all_56_9 = e0
% 172.28/26.55    (22)  all_56_11 = all_52_14
% 172.28/26.55    (23)  all_56_0 = all_6_2
% 172.28/26.55    (24)  all_58_30 = all_52_14
% 172.28/26.55    (25)  all_56_6 = e1
% 172.28/26.55    (26)  all_56_14 = all_10_1
% 172.28/26.55    (27)  all_58_19 = all_52_3
% 172.28/26.55    (28)   ~ (all_52_2 = all_52_6)
% 172.28/26.55    (29)   ~ (all_52_9 = e2)
% 172.28/26.55    (30)  all_56_2 = e0
% 172.28/26.55    (31)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.28/26.55    (32)   ~ (e3 = e2)
% 172.28/26.55    (33)  all_56_11 = e1 | all_56_15 = e1
% 172.28/26.55    (34)  all_58_26 = e0
% 172.28/26.55    (35)  all_56_8 = e0
% 172.28/26.55    (36)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.28/26.55    (37)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.28/26.55    (38)  all_58_28 = e0
% 172.28/26.55    (39)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.28/26.55    (40)  all_54_9 = all_52_6
% 172.28/26.55    (41)  all_58_18 = all_52_2
% 172.28/26.55    (42)  all_58_16 = all_6_2
% 172.28/26.55    (43)  all_56_7 = e2 | all_56_13 = e2
% 172.28/26.55    (44)   ~ (all_52_8 = all_52_9)
% 172.28/26.55    (45)   ~ (all_52_8 = all_10_1)
% 172.28/26.55    (46)   ~ (e3 = e0)
% 172.28/26.55    (47)   ~ (all_14_2 = e2)
% 172.28/26.55    (48)   ~ (all_4_2 = e0)
% 172.28/26.55    (49)  all_56_10 = e2
% 172.28/26.55    (50)   ~ (all_6_2 = e0)
% 172.28/26.55    (51)  all_56_4 = all_52_8
% 172.28/26.55    (52)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.28/26.55    (53)  all_58_20 = all_52_4
% 172.28/26.55    (54)  all_58_17 = e0
% 172.28/26.55    (55)   ~ (all_52_8 = all_6_2)
% 172.28/26.55    (56)  all_56_6 = all_52_2
% 172.28/26.55    (57)  all_56_13 = e0
% 172.28/26.55    (58)  all_58_24 = all_52_8
% 172.28/26.55    (59)  all_56_3 = all_4_2
% 172.28/26.55    (60)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 172.28/26.55    (61)  all_58_25 = all_52_9
% 172.28/26.55    (62)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 172.28/26.55    (63)  all_58_29 = e2
% 172.28/26.55    (64)   ~ (all_52_6 = e0)
% 172.28/26.55    (65)  all_58_21 = all_4_2
% 172.28/26.55    (66)   ~ (all_52_3 = e0)
% 172.28/26.55    (67)   ~ (e2 = e0)
% 172.28/26.55    (68)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.28/26.55    (69)   ~ (e1 = e0)
% 172.28/26.55    (70)  all_56_7 = all_52_6
% 172.28/26.55    (71)   ~ (all_52_8 = e0)
% 172.28/26.56    (72)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.28/26.56          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.28/26.56          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.28/26.56          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.28/26.56          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.28/26.56          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.28/26.56          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.28/26.56          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.28/26.56          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.28/26.56          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.28/26.56            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.28/26.56            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.28/26.56            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.28/26.56            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.28/26.56            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.28/26.56            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.28/26.56            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.28/26.56            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.28/26.56            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.28/26.56            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.28/26.56            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.28/26.56            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.28/26.56            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.28/26.56            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.28/26.56            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.28/26.56            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.28/26.56          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.28/26.56          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.28/26.56          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.28/26.56            all_58_30 = e0 & e1 = e0)
% 172.28/26.56    (73)  all_58_23 = e0
% 172.28/26.56    (74)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.28/26.56  
% 172.28/26.56  Begin of proof
% 172.28/26.56  | 
% 172.28/26.56  | BETA: splitting (43) gives:
% 172.28/26.56  | 
% 172.28/26.56  | Case 1:
% 172.28/26.56  | | 
% 172.28/26.56  | |   (75)  all_56_7 = e2
% 172.28/26.56  | | 
% 172.28/26.56  | | COMBINE_EQS: (70), (75) imply:
% 172.28/26.56  | |   (76)  all_52_6 = e2
% 172.28/26.56  | | 
% 172.28/26.56  | | SIMP: (76) implies:
% 172.28/26.56  | |   (77)  all_52_6 = e2
% 172.28/26.56  | | 
% 172.28/26.56  | | REDUCE: (8), (77) imply:
% 172.28/26.56  | |   (78)   ~ (all_4_2 = e2)
% 172.28/26.56  | | 
% 172.28/26.56  | | SIMP: (78) implies:
% 172.28/26.56  | |   (79)   ~ (all_4_2 = e2)
% 172.28/26.56  | | 
% 172.28/26.56  | | BETA: splitting (19) gives:
% 172.28/26.56  | | 
% 172.28/26.56  | | Case 1:
% 172.28/26.56  | | | 
% 172.28/26.56  | | |   (80)  all_56_6 = e3
% 172.28/26.56  | | | 
% 172.28/26.56  | | | COMBINE_EQS: (25), (80) imply:
% 172.28/26.56  | | |   (81)  e3 = e1
% 172.28/26.56  | | | 
% 172.28/26.56  | | | REDUCE: (4), (81) imply:
% 172.28/26.56  | | |   (82)  $false
% 172.28/26.56  | | | 
% 172.28/26.56  | | | CLOSE: (82) is inconsistent.
% 172.28/26.56  | | | 
% 172.28/26.56  | | Case 2:
% 172.28/26.56  | | | 
% 172.28/26.56  | | |   (83)   ~ (all_56_6 = e3)
% 172.28/26.56  | | |   (84)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.28/26.56  | | | 
% 172.28/26.56  | | | REDUCE: (25), (83) imply:
% 172.28/26.56  | | |   (85)   ~ (e3 = e1)
% 172.28/26.56  | | | 
% 172.28/26.56  | | | BETA: splitting (84) gives:
% 172.28/26.56  | | | 
% 172.28/26.56  | | | Case 1:
% 172.28/26.56  | | | | 
% 172.28/26.56  | | | |   (86)  all_56_7 = e3
% 172.28/26.56  | | | | 
% 172.28/26.56  | | | | COMBINE_EQS: (75), (86) imply:
% 172.28/26.56  | | | |   (87)  e3 = e2
% 172.28/26.56  | | | | 
% 172.28/26.56  | | | | REDUCE: (32), (87) imply:
% 172.28/26.56  | | | |   (88)  $false
% 172.28/26.56  | | | | 
% 172.28/26.56  | | | | CLOSE: (88) is inconsistent.
% 172.28/26.56  | | | | 
% 172.28/26.56  | | | Case 2:
% 172.28/26.56  | | | | 
% 172.28/26.56  | | | |   (89)   ~ (all_56_7 = e3)
% 172.28/26.56  | | | |   (90)  all_56_8 = e3 | all_56_11 = e3
% 172.28/26.56  | | | | 
% 172.28/26.56  | | | | REDUCE: (75), (89) imply:
% 172.28/26.56  | | | |   (91)   ~ (e3 = e2)
% 172.28/26.56  | | | | 
% 172.28/26.56  | | | | BETA: splitting (72) gives:
% 172.28/26.56  | | | | 
% 172.28/26.56  | | | | Case 1:
% 172.28/26.56  | | | | | 
% 172.28/26.56  | | | | |   (92)  all_58_31 = e0
% 172.28/26.56  | | | | | 
% 172.28/26.56  | | | | | COMBINE_EQS: (17), (92) imply:
% 172.28/26.56  | | | | |   (93)  all_14_2 = e0
% 172.28/26.56  | | | | | 
% 172.28/26.56  | | | | | REDUCE: (12), (93) imply:
% 172.28/26.56  | | | | |   (94)  $false
% 172.28/26.56  | | | | | 
% 172.28/26.56  | | | | | CLOSE: (94) is inconsistent.
% 172.28/26.56  | | | | | 
% 172.28/26.56  | | | | Case 2:
% 172.28/26.56  | | | | | 
% 172.28/26.56  | | | | |   (95)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | (all_58_17
% 172.28/26.56  | | | | |           = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.28/26.56  | | | | |         (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28
% 172.28/26.56  | | | | |           = e0) | (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 &
% 172.28/26.56  | | | | |           all_58_25 = e2) | (all_58_17 = e3 & all_58_20 = e3 &
% 172.28/26.56  | | | | |           all_58_23 = e2 & all_58_29 = e2) | (all_58_17 = e2 &
% 172.28/26.56  | | | | |           all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.28/26.56  | | | | |         (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28
% 172.28/26.56  | | | | |           = e3) | (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 172.28/26.56  | | | | |           all_58_25 = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 172.28/26.56  | | | | |           all_58_23 = e0 & all_58_29 = e0) | (all_58_17 = e2 &
% 172.28/26.56  | | | | |           all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 = e0
% 172.28/26.56  | | | | |           & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.28/26.56  | | | | |           all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 172.28/26.56  | | | | |         (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30
% 172.28/26.56  | | | | |           = e1) | (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 172.28/26.56  | | | | |           all_58_28 = e3) | (all_58_18 = e1 & all_58_22 = e2 &
% 172.28/26.56  | | | | |           all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.28/26.56  | | | | |           all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.28/26.56  | | | | |         (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3
% 172.28/26.56  | | | | |           & all_58_23 = e0 & all_58_28 = e3 & all_58_29 = e0) |
% 172.28/26.56  | | | | |         (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 & all_58_30
% 172.28/26.56  | | | | |           = e0) | (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 172.28/26.56  | | | | |           all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.28/26.56  | | | | |           all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 &
% 172.28/26.56  | | | | |           all_58_28 = e0 & e3 = e0) | (all_58_22 = e2 & all_58_23 = e0
% 172.28/26.56  | | | | |           & all_58_25 = e2 & all_58_29 = e0) | (all_58_22 = e2 &
% 172.28/26.56  | | | | |           all_58_25 = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 172.28/26.56  | | | | |         (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29
% 172.28/26.56  | | | | |           = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.28/26.56  | | | | |           all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 =
% 172.28/26.56  | | | | |           e1) | (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 172.28/26.56  | | | | |           all_58_30 = e0) | (all_58_23 = e0 & all_58_27 = e1 &
% 172.28/26.56  | | | | |           all_58_29 = e0 & all_58_30 = e1) | (all_58_23 = e0 &
% 172.28/26.56  | | | | |           all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 = e0
% 172.28/26.56  | | | | |           & e1 = e0)
% 172.28/26.56  | | | | | 
% 172.28/26.56  | | | | | BETA: splitting (95) gives:
% 172.28/26.56  | | | | | 
% 172.28/26.56  | | | | | Case 1:
% 172.28/26.56  | | | | | | 
% 172.28/26.56  | | | | | |   (96)  all_58_26 = e1
% 172.28/26.56  | | | | | | 
% 172.28/26.56  | | | | | | REF_CLOSE: (34), (69), (96) are inconsistent by sub-proof #312.
% 172.28/26.56  | | | | | | 
% 172.28/26.56  | | | | | Case 2:
% 172.28/26.56  | | | | | | 
% 172.28/26.56  | | | | | |   (97)   ~ (all_58_26 = e1)
% 172.28/26.56  | | | | | |   (98)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3 &
% 172.28/26.56  | | | | | |           all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.28/26.56  | | | | | |         (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 172.28/26.56  | | | | | |           all_58_28 = e0) | (all_58_17 = e3 & all_58_20 = e3 &
% 172.28/26.56  | | | | | |           all_58_22 = e2 & all_58_25 = e2) | (all_58_17 = e3 &
% 172.28/26.56  | | | | | |           all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.28/26.56  | | | | | |         (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 172.28/26.56  | | | | | |           all_58_24 = e3) | (all_58_17 = e2 & all_58_19 = e3 &
% 172.28/26.56  | | | | | |           all_58_20 = e2 & all_58_28 = e3) | (all_58_17 = e2 &
% 172.28/26.56  | | | | | |           all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.28/26.56  | | | | | |         (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 172.28/26.56  | | | | | |           all_58_29 = e0) | (all_58_17 = e2 & all_58_20 = e2 & e3 =
% 172.28/26.56  | | | | | |           e2) | (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 172.28/26.56  | | | | | |           all_58_28 = e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 172.28/26.56  | | | | | |           all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.28/26.56  | | | | | |           all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 172.28/26.56  | | | | | |         (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 172.28/26.56  | | | | | |           all_58_28 = e3) | (all_58_18 = e1 & all_58_22 = e2 &
% 172.28/26.56  | | | | | |           all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.28/26.56  | | | | | |           all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.28/26.56  | | | | | |         (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 =
% 172.28/26.56  | | | | | |           e3 & all_58_23 = e0 & all_58_28 = e3 & all_58_29 = e0) |
% 172.28/26.56  | | | | | |         (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 172.28/26.56  | | | | | |           all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.28/26.56  | | | | | |           all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 &
% 172.28/26.56  | | | | | |           all_58_27 = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.28/26.56  | | | | | |         (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 =
% 172.28/26.56  | | | | | |           e2 & all_58_23 = e0 & all_58_25 = e2 & all_58_29 = e0) |
% 172.28/26.56  | | | | | |         (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.28/26.56  | | | | | |           all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 &
% 172.28/26.56  | | | | | |           all_58_25 = e1 & all_58_29 = e2) | (all_58_22 = e1 &
% 172.28/26.56  | | | | | |           all_58_25 = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.28/26.56  | | | | | |         (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 =
% 172.28/26.56  | | | | | |           e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.28/26.56  | | | | | |         (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 172.28/26.56  | | | | | |           all_58_30 = e1) | (all_58_23 = e0 & all_58_29 = e0 & e2 =
% 172.28/26.56  | | | | | |           e0) | (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.28/26.56  | | | | | | 
% 172.28/26.56  | | | | | | REDUCE: (34), (97) imply:
% 172.28/26.56  | | | | | |   (99)   ~ (e1 = e0)
% 172.28/26.56  | | | | | | 
% 172.28/26.56  | | | | | | BETA: splitting (31) gives:
% 172.28/26.56  | | | | | | 
% 172.28/26.56  | | | | | | Case 1:
% 172.28/26.56  | | | | | | | 
% 172.28/26.56  | | | | | | |   (100)  all_58_26 = e1
% 172.28/26.56  | | | | | | | 
% 172.28/26.56  | | | | | | | REF_CLOSE: (34), (69), (100) are inconsistent by sub-proof #312.
% 172.28/26.56  | | | | | | | 
% 172.28/26.56  | | | | | | Case 2:
% 172.28/26.56  | | | | | | | 
% 172.28/26.56  | | | | | | |   (101)  all_58_24 = e3 | all_58_25 = e2
% 172.28/26.56  | | | | | | | 
% 172.28/26.56  | | | | | | | BETA: splitting (33) gives:
% 172.28/26.56  | | | | | | | 
% 172.28/26.56  | | | | | | | Case 1:
% 172.28/26.56  | | | | | | | | 
% 172.28/26.56  | | | | | | | |   (102)  all_56_11 = e1
% 172.28/26.56  | | | | | | | | 
% 172.28/26.56  | | | | | | | | REF_CLOSE: (4), (35), (46), (90), (102) are inconsistent by
% 172.28/26.56  | | | | | | | |            sub-proof #780.
% 172.28/26.56  | | | | | | | | 
% 172.28/26.56  | | | | | | | Case 2:
% 172.28/26.56  | | | | | | | | 
% 172.28/26.56  | | | | | | | |   (103)  all_56_15 = e1
% 172.28/26.56  | | | | | | | | 
% 172.28/26.56  | | | | | | | | COMBINE_EQS: (9), (103) imply:
% 172.28/26.56  | | | | | | | |   (104)  all_14_2 = e1
% 172.28/26.56  | | | | | | | | 
% 172.28/26.56  | | | | | | | | SIMP: (104) implies:
% 172.28/26.56  | | | | | | | |   (105)  all_14_2 = e1
% 172.28/26.56  | | | | | | | | 
% 172.28/26.56  | | | | | | | | REDUCE: (47), (105) imply:
% 172.28/26.56  | | | | | | | |   (106)   ~ (e2 = e1)
% 172.28/26.56  | | | | | | | | 
% 172.28/26.56  | | | | | | | | SIMP: (106) implies:
% 172.28/26.56  | | | | | | | |   (107)   ~ (e2 = e1)
% 172.28/26.56  | | | | | | | | 
% 172.28/26.56  | | | | | | | | BETA: splitting (101) gives:
% 172.28/26.56  | | | | | | | | 
% 172.28/26.56  | | | | | | | | Case 1:
% 172.28/26.56  | | | | | | | | | 
% 172.28/26.56  | | | | | | | | |   (108)  all_58_25 = e2
% 172.28/26.56  | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | REF_CLOSE: (29), (61), (108) are inconsistent by sub-proof
% 172.28/26.56  | | | | | | | | |            #922.
% 172.28/26.56  | | | | | | | | | 
% 172.28/26.56  | | | | | | | | Case 2:
% 172.28/26.56  | | | | | | | | | 
% 172.28/26.56  | | | | | | | | |   (109)  all_58_24 = e3
% 172.28/26.56  | | | | | | | | |   (110)   ~ (all_58_25 = e2)
% 172.28/26.56  | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | COMBINE_EQS: (58), (109) imply:
% 172.28/26.56  | | | | | | | | |   (111)  all_52_8 = e3
% 172.28/26.56  | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | COMBINE_EQS: (51), (111) imply:
% 172.28/26.56  | | | | | | | | |   (112)  all_56_4 = e3
% 172.28/26.56  | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | REDUCE: (44), (111) imply:
% 172.28/26.56  | | | | | | | | |   (113)   ~ (all_52_9 = e3)
% 172.28/26.56  | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | SIMP: (113) implies:
% 172.28/26.56  | | | | | | | | |   (114)   ~ (all_52_9 = e3)
% 172.28/26.56  | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | REDUCE: (45), (111) imply:
% 172.28/26.56  | | | | | | | | |   (115)   ~ (all_10_1 = e3)
% 172.28/26.56  | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | SIMP: (115) implies:
% 172.28/26.56  | | | | | | | | |   (116)   ~ (all_10_1 = e3)
% 172.28/26.56  | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | REDUCE: (55), (111) imply:
% 172.28/26.56  | | | | | | | | |   (117)   ~ (all_6_2 = e3)
% 172.28/26.56  | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | SIMP: (117) implies:
% 172.28/26.56  | | | | | | | | |   (118)   ~ (all_6_2 = e3)
% 172.28/26.56  | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | BETA: splitting (36) gives:
% 172.28/26.56  | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | Case 1:
% 172.28/26.56  | | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | |   (119)  all_56_0 = e2
% 172.28/26.56  | | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | | COMBINE_EQS: (23), (119) imply:
% 172.28/26.56  | | | | | | | | | |   (120)  all_6_2 = e2
% 172.28/26.56  | | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | | REDUCE: (18), (120) imply:
% 172.28/26.56  | | | | | | | | | |   (121)   ~ (all_52_3 = e2)
% 172.28/26.56  | | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | | BETA: splitting (52) gives:
% 172.28/26.56  | | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | | Case 1:
% 172.28/26.56  | | | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | | |   (122)  all_56_12 = e3
% 172.28/26.56  | | | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | | | COMBINE_EQS: (3), (122) imply:
% 172.28/26.56  | | | | | | | | | | |   (123)  all_52_3 = e3
% 172.28/26.56  | | | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | | | SIMP: (123) implies:
% 172.28/26.56  | | | | | | | | | | |   (124)  all_52_3 = e3
% 172.28/26.56  | | | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | | | COMBINE_EQS: (27), (124) imply:
% 172.28/26.56  | | | | | | | | | | |   (125)  all_58_19 = e3
% 172.28/26.56  | | | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | | | BETA: splitting (90) gives:
% 172.28/26.56  | | | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | | | Case 1:
% 172.28/26.56  | | | | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | | | |   (126)  all_56_8 = e3
% 172.28/26.56  | | | | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | | | | REF_CLOSE: (35), (46), (126) are inconsistent by sub-proof
% 172.28/26.56  | | | | | | | | | | | |            #543.
% 172.28/26.56  | | | | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | | | Case 2:
% 172.28/26.56  | | | | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | | | |   (127)  all_56_11 = e3
% 172.28/26.56  | | | | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | | | | COMBINE_EQS: (22), (127) imply:
% 172.28/26.56  | | | | | | | | | | | |   (128)  all_52_14 = e3
% 172.28/26.56  | | | | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | | | | SIMP: (128) implies:
% 172.28/26.56  | | | | | | | | | | | |   (129)  all_52_14 = e3
% 172.28/26.56  | | | | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | | | | COMBINE_EQS: (24), (129) imply:
% 172.28/26.56  | | | | | | | | | | | |   (130)  all_58_30 = e3
% 172.28/26.56  | | | | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | | | | REF_CLOSE: (1), (5), (6), (7), (8), (11), (13), (14), (15),
% 172.28/26.56  | | | | | | | | | | | |            (16), (20), (23), (28), (29), (30), (32), (37),
% 172.28/26.56  | | | | | | | | | | | |            (38), (39), (40), (41), (42), (46), (48), (49),
% 172.28/26.56  | | | | | | | | | | | |            (53), (54), (56), (59), (60), (61), (62), (63),
% 172.28/26.56  | | | | | | | | | | | |            (64), (65), (67), (68), (73), (74), (79), (98),
% 172.28/26.56  | | | | | | | | | | | |            (109), (114), (118), (122), (125), (130) are
% 172.28/26.56  | | | | | | | | | | | |            inconsistent by sub-proof #301.
% 172.28/26.56  | | | | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | | | End of split
% 172.28/26.56  | | | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | | Case 2:
% 172.28/26.56  | | | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | | |   (131)  all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.28/26.56  | | | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | | | REF_CLOSE: (4), (26), (46), (57), (103), (116), (131) are
% 172.28/26.56  | | | | | | | | | | |            inconsistent by sub-proof #299.
% 172.28/26.56  | | | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | | End of split
% 172.28/26.56  | | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | Case 2:
% 172.28/26.56  | | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | |   (132)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.28/26.56  | | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | | REF_CLOSE: (10), (21), (32), (67), (107), (112), (132) are
% 172.28/26.56  | | | | | | | | | |            inconsistent by sub-proof #430.
% 172.28/26.56  | | | | | | | | | | 
% 172.28/26.56  | | | | | | | | | End of split
% 172.28/26.56  | | | | | | | | | 
% 172.28/26.56  | | | | | | | | End of split
% 172.28/26.56  | | | | | | | | 
% 172.28/26.56  | | | | | | | End of split
% 172.28/26.56  | | | | | | | 
% 172.28/26.56  | | | | | | End of split
% 172.28/26.56  | | | | | | 
% 172.28/26.56  | | | | | End of split
% 172.28/26.56  | | | | | 
% 172.28/26.56  | | | | End of split
% 172.28/26.56  | | | | 
% 172.28/26.56  | | | End of split
% 172.28/26.56  | | | 
% 172.28/26.56  | | End of split
% 172.28/26.56  | | 
% 172.28/26.56  | Case 2:
% 172.28/26.56  | | 
% 172.28/26.56  | |   (133)  all_56_13 = e2
% 172.28/26.56  | | 
% 172.28/26.56  | | COMBINE_EQS: (57), (133) imply:
% 172.28/26.56  | |   (134)  e2 = e0
% 172.28/26.56  | | 
% 172.28/26.56  | | REDUCE: (67), (134) imply:
% 172.28/26.56  | |   (135)  $false
% 172.28/26.56  | | 
% 172.28/26.56  | | CLOSE: (135) is inconsistent.
% 172.28/26.56  | | 
% 172.28/26.56  | End of split
% 172.28/26.56  | 
% 172.28/26.56  End of proof
% 172.28/26.56  
% 172.28/26.56  Sub-proof #250 shows that the following formulas are inconsistent:
% 172.28/26.56  ----------------------------------------------------------------
% 172.28/26.56    (1)  all_56_10 = e1
% 172.28/26.56    (2)  all_58_28 = e3 | all_58_29 = e2
% 172.28/26.56    (3)   ~ (e2 = e1)
% 172.28/26.56    (4)  all_58_28 = e0
% 172.28/26.56    (5)   ~ (e3 = e0)
% 172.28/26.56    (6)  all_56_10 = e2
% 172.28/26.56    (7)  all_58_29 = e2
% 172.28/26.56  
% 172.28/26.56  Begin of proof
% 172.28/26.56  | 
% 172.28/26.56  | COMBINE_EQS: (1), (6) imply:
% 172.28/26.56  |   (8)  e2 = e1
% 172.28/26.56  | 
% 172.28/26.56  | SIMP: (8) implies:
% 172.28/26.56  |   (9)  e2 = e1
% 172.28/26.56  | 
% 172.28/26.56  | COMBINE_EQS: (7), (9) imply:
% 172.28/26.56  |   (10)  all_58_29 = e1
% 172.28/26.56  | 
% 172.28/26.56  | REF_CLOSE: (2), (3), (4), (5), (10) are inconsistent by sub-proof #509.
% 172.28/26.56  | 
% 172.28/26.56  End of proof
% 172.28/26.56  
% 172.28/26.56  Sub-proof #251 shows that the following formulas are inconsistent:
% 172.28/26.56  ----------------------------------------------------------------
% 172.28/26.56    (1)  all_56_1 = e1
% 172.28/26.56    (2)  all_58_28 = e3 | all_58_29 = e2
% 172.28/26.56    (3)   ~ (e2 = e1)
% 172.28/26.56    (4)  all_58_28 = e0
% 172.28/26.56    (5)   ~ (e3 = e0)
% 172.28/26.56    (6)  all_56_1 = e2
% 172.28/26.56    (7)  all_58_29 = e2
% 172.28/26.56  
% 172.28/26.56  Begin of proof
% 172.28/26.56  | 
% 172.28/26.56  | COMBINE_EQS: (1), (6) imply:
% 172.28/26.56  |   (8)  e2 = e1
% 172.28/26.56  | 
% 172.28/26.56  | SIMP: (8) implies:
% 172.28/26.56  |   (9)  e2 = e1
% 172.28/26.56  | 
% 172.28/26.56  | COMBINE_EQS: (7), (9) imply:
% 172.28/26.56  |   (10)  all_58_29 = e1
% 172.28/26.56  | 
% 172.28/26.56  | REF_CLOSE: (2), (3), (4), (5), (10) are inconsistent by sub-proof #509.
% 172.28/26.56  | 
% 172.28/26.56  End of proof
% 172.28/26.56  
% 172.28/26.56  Sub-proof #252 shows that the following formulas are inconsistent:
% 172.28/26.56  ----------------------------------------------------------------
% 172.28/26.56    (1)   ~ (e3 = e1)
% 172.28/26.56    (2)   ~ (all_52_2 = all_6_2)
% 172.28/26.56    (3)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.28/26.56    (4)  all_6_2 = e1
% 172.28/26.56    (5)  all_58_18 = all_52_2
% 172.28/26.56    (6)  all_58_16 = all_6_2
% 172.28/26.56    (7)  all_58_17 = e0
% 172.28/26.56    (8)   ~ (e2 = e0)
% 172.28/26.56  
% 172.28/26.56  Begin of proof
% 172.28/26.56  | 
% 172.28/26.56  | COMBINE_EQS: (4), (6) imply:
% 172.28/26.56  |   (9)  all_58_16 = e1
% 172.28/26.56  | 
% 172.28/26.56  | REDUCE: (2), (4) imply:
% 172.28/26.56  |   (10)   ~ (all_52_2 = e1)
% 172.28/26.56  | 
% 172.28/26.56  | REF_CLOSE: (1), (3), (5), (7), (8), (9), (10) are inconsistent by sub-proof
% 172.28/26.56  |            #938.
% 172.28/26.56  | 
% 172.28/26.56  End of proof
% 172.28/26.56  
% 172.28/26.56  Sub-proof #253 shows that the following formulas are inconsistent:
% 172.28/26.56  ----------------------------------------------------------------
% 172.28/26.56    (1)   ~ (all_52_9 = e1)
% 172.28/26.56    (2)  all_56_12 = all_52_3
% 172.28/26.56    (3)   ~ (e3 = e1)
% 172.28/26.56    (4)   ~ (all_52_2 = all_6_2)
% 172.28/26.56    (5)  all_58_24 = e1
% 172.28/26.56    (6)  all_58_3 = e0
% 172.28/26.56    (7)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.28/26.56    (8)  all_56_5 = all_52_9
% 172.28/26.56    (9)  all_58_10 = all_52_14
% 172.28/26.56    (10)  op(e1, e0) = all_52_14
% 172.28/26.56    (11)  all_56_15 = all_14_2
% 172.28/26.56    (12)   ~ (all_14_2 = e0)
% 172.28/26.56    (13)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.28/26.56    (14)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.28/26.56    (15)   ~ (all_52_9 = e0)
% 172.28/26.56    (16)  all_58_31 = all_14_2
% 172.28/26.56    (17)   ~ (all_52_9 = all_52_13)
% 172.28/26.56    (18)  all_56_9 = e0
% 172.28/26.56    (19)  all_56_11 = all_52_14
% 172.28/26.56    (20)  all_56_0 = all_6_2
% 172.28/26.56    (21)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.28/26.56    (22)  all_58_30 = all_52_14
% 172.28/26.56    (23)  all_58_4 = all_52_13
% 172.28/26.56    (24)  all_56_14 = all_10_1
% 172.28/26.56    (25)  all_58_19 = all_52_3
% 172.28/26.56    (26)  all_56_2 = e0
% 172.28/26.56    (27)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.28/26.56    (28)   ~ (e3 = e2)
% 172.28/26.56    (29)  all_58_26 = e0
% 172.28/26.56    (30)  all_56_8 = e0
% 172.28/26.56    (31)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.28/26.56    (32)   ~ (all_52_13 = all_14_2)
% 172.28/26.56    (33)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.28/26.56    (34)  all_58_28 = e0
% 172.28/26.56    (35)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.28/26.56    (36)   ~ (all_52_13 = all_52_14)
% 172.28/26.56    (37)  all_58_18 = all_52_2
% 172.28/26.56    (38)  all_58_16 = all_6_2
% 172.28/26.56    (39)   ~ (e3 = e0)
% 172.28/26.56    (40)  all_58_29 = all_52_13
% 172.28/26.56    (41)  op(all_10_1, e0) = all_10_0
% 172.28/26.56    (42)   ~ (all_6_2 = e0)
% 172.28/26.56    (43)  all_56_4 = all_52_8
% 172.28/26.56    (44)   ~ (all_52_9 = all_10_1)
% 172.28/26.56    (45)  all_58_17 = e0
% 172.28/26.56    (46)   ~ (all_14_2 = all_10_1)
% 172.28/26.56    (47)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 172.28/26.56    (48)   ~ (all_52_8 = all_6_2)
% 172.28/26.56    (49)  all_56_6 = all_52_2
% 172.28/26.56    (50)  all_58_13 = all_14_2
% 172.28/26.56    (51)  all_56_13 = e0
% 172.28/26.56    (52)  all_58_24 = all_52_8
% 172.28/26.56    (53)  all_58_27 = all_10_1
% 172.28/26.56    (54)   ~ (all_52_2 = all_52_3)
% 172.28/26.56    (55)   ~ (all_52_14 = all_14_2)
% 172.28/26.56    (56)  all_58_25 = all_52_9
% 172.28/26.56    (57)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.28/26.56            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.28/26.56    (58)   ~ (all_52_2 = all_52_14)
% 172.28/26.56    (59)  all_56_10 = all_52_13
% 172.28/26.56    (60)   ~ (all_52_3 = e0)
% 172.28/26.56    (61)   ~ (all_52_3 = all_10_1)
% 172.28/26.56    (62)   ~ (all_52_14 = e0)
% 172.28/26.56    (63)   ~ (e1 = e0)
% 172.28/26.56    (64)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.28/26.56            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.28/26.56            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.28/26.56            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.28/26.56            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.28/26.56            (all_58_15 = e0))
% 172.28/26.56    (65)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.28/26.56    (66)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 172.28/26.56    (67)   ~ (all_10_1 = e0)
% 172.28/26.56  
% 172.28/26.56  Begin of proof
% 172.28/26.56  | 
% 172.28/26.56  | BETA: splitting (27) gives:
% 172.28/26.56  | 
% 172.28/26.56  | Case 1:
% 172.28/26.56  | | 
% 172.28/26.56  | |   (68)  all_58_26 = e1
% 172.28/26.56  | | 
% 172.28/26.56  | | COMBINE_EQS: (29), (68) imply:
% 172.28/26.56  | |   (69)  e1 = e0
% 172.28/26.56  | | 
% 172.28/26.56  | | REDUCE: (63), (69) imply:
% 172.28/26.56  | |   (70)  $false
% 172.28/26.56  | | 
% 172.28/26.56  | | CLOSE: (70) is inconsistent.
% 172.28/26.56  | | 
% 172.28/26.56  | Case 2:
% 172.28/26.56  | | 
% 172.28/26.56  | |   (71)  all_58_24 = e3 | all_58_25 = e2
% 172.28/26.56  | | 
% 172.28/26.56  | | BETA: splitting (71) gives:
% 172.28/26.56  | | 
% 172.28/26.56  | | Case 1:
% 172.28/26.56  | | | 
% 172.28/26.56  | | |   (72)  all_58_25 = e2
% 172.28/26.56  | | | 
% 172.28/26.56  | | | COMBINE_EQS: (56), (72) imply:
% 172.28/26.56  | | |   (73)  all_52_9 = e2
% 172.28/26.56  | | | 
% 172.28/26.56  | | | SIMP: (73) implies:
% 172.28/26.56  | | |   (74)  all_52_9 = e2
% 172.28/26.56  | | | 
% 172.28/26.56  | | | REDUCE: (17), (74) imply:
% 172.28/26.56  | | |   (75)   ~ (all_52_13 = e2)
% 172.28/26.56  | | | 
% 172.28/26.56  | | | SIMP: (75) implies:
% 172.28/26.56  | | |   (76)   ~ (all_52_13 = e2)
% 172.28/26.56  | | | 
% 172.28/26.56  | | | REDUCE: (1), (74) imply:
% 172.28/26.56  | | |   (77)   ~ (e2 = e1)
% 172.28/26.56  | | | 
% 172.28/26.56  | | | REDUCE: (15), (74) imply:
% 172.28/26.56  | | |   (78)   ~ (e2 = e0)
% 172.28/26.56  | | | 
% 172.28/26.56  | | | BETA: splitting (13) gives:
% 172.28/26.56  | | | 
% 172.28/26.56  | | | Case 1:
% 172.28/26.56  | | | | 
% 172.28/26.56  | | | |   (79)  all_58_30 = e1
% 172.28/26.56  | | | | 
% 172.28/26.56  | | | | COMBINE_EQS: (22), (79) imply:
% 172.28/26.56  | | | |   (80)  all_52_14 = e1
% 172.28/26.56  | | | | 
% 172.28/26.56  | | | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (14),
% 172.28/26.56  | | | |            (15), (16), (18), (19), (20), (21), (22), (23), (24), (25),
% 172.28/26.56  | | | |            (26), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 172.28/26.56  | | | |            (37), (38), (39), (40), (41), (42), (43), (44), (45), (46),
% 172.28/26.56  | | | |            (47), (48), (49), (50), (51), (52), (53), (54), (55), (56),
% 172.28/26.56  | | | |            (57), (58), (59), (60), (61), (62), (64), (65), (66), (67),
% 172.28/26.56  | | | |            (77), (78), (80) are inconsistent by sub-proof #255.
% 172.28/26.56  | | | | 
% 172.28/26.56  | | | Case 2:
% 172.28/26.56  | | | | 
% 172.28/26.56  | | | |   (81)  all_58_28 = e3 | all_58_29 = e2
% 172.28/26.56  | | | | 
% 172.28/26.56  | | | | REF_CLOSE: (34), (39), (40), (76), (81) are inconsistent by sub-proof
% 172.28/26.56  | | | |            #844.
% 172.28/26.56  | | | | 
% 172.28/26.56  | | | End of split
% 172.28/26.56  | | | 
% 172.28/26.56  | | Case 2:
% 172.28/26.56  | | | 
% 172.28/26.56  | | |   (82)  all_58_24 = e3
% 172.28/26.56  | | | 
% 172.28/26.56  | | | REF_CLOSE: (3), (5), (82) are inconsistent by sub-proof #254.
% 172.28/26.56  | | | 
% 172.28/26.56  | | End of split
% 172.28/26.56  | | 
% 172.28/26.56  | End of split
% 172.28/26.56  | 
% 172.28/26.56  End of proof
% 172.28/26.56  
% 172.28/26.56  Sub-proof #254 shows that the following formulas are inconsistent:
% 172.28/26.56  ----------------------------------------------------------------
% 172.28/26.56    (1)  all_58_24 = e3
% 172.28/26.56    (2)  all_58_24 = e1
% 172.28/26.56    (3)   ~ (e3 = e1)
% 172.28/26.56  
% 172.28/26.56  Begin of proof
% 172.28/26.56  | 
% 172.28/26.56  | COMBINE_EQS: (1), (2) imply:
% 172.28/26.56  |   (4)  e3 = e1
% 172.28/26.56  | 
% 172.28/26.56  | SIMP: (4) implies:
% 172.28/26.56  |   (5)  e3 = e1
% 172.28/26.56  | 
% 172.28/26.56  | REDUCE: (3), (5) imply:
% 172.28/26.56  |   (6)  $false
% 172.28/26.56  | 
% 172.28/26.56  | CLOSE: (6) is inconsistent.
% 172.28/26.56  | 
% 172.28/26.56  End of proof
% 172.28/26.56  
% 172.28/26.56  Sub-proof #255 shows that the following formulas are inconsistent:
% 172.28/26.56  ----------------------------------------------------------------
% 172.28/26.56    (1)  all_56_12 = all_52_3
% 172.28/26.56    (2)   ~ (e3 = e1)
% 172.28/26.56    (3)   ~ (all_52_2 = all_6_2)
% 172.28/26.56    (4)  all_58_3 = e0
% 172.28/26.56    (5)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.28/26.56    (6)  all_56_5 = all_52_9
% 172.28/26.56    (7)  all_58_10 = all_52_14
% 172.28/26.56    (8)  op(e1, e0) = all_52_14
% 172.28/26.56    (9)  all_56_15 = all_14_2
% 172.28/26.56    (10)   ~ (all_14_2 = e0)
% 172.28/26.56    (11)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.28/26.56    (12)   ~ (all_52_9 = e0)
% 172.28/26.56    (13)  all_58_31 = all_14_2
% 172.28/26.56    (14)  all_56_9 = e0
% 172.28/26.56    (15)  all_56_11 = all_52_14
% 172.28/26.56    (16)  all_56_0 = all_6_2
% 172.28/26.56    (17)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.28/26.56    (18)  all_58_30 = all_52_14
% 172.28/26.56    (19)  all_58_4 = all_52_13
% 172.28/26.56    (20)  all_56_14 = all_10_1
% 172.28/26.56    (21)  all_58_19 = all_52_3
% 172.28/26.56    (22)  all_56_2 = e0
% 172.28/26.56    (23)   ~ (e3 = e2)
% 172.28/26.56    (24)   ~ (e2 = e1)
% 172.28/26.56    (25)  all_58_26 = e0
% 172.28/26.56    (26)  all_56_8 = e0
% 172.28/26.56    (27)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.28/26.56    (28)  all_52_14 = e1
% 172.28/26.56    (29)   ~ (all_52_13 = all_14_2)
% 172.28/26.56    (30)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.28/26.56    (31)  all_58_28 = e0
% 172.28/26.56    (32)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.28/26.56    (33)   ~ (all_52_13 = all_52_14)
% 172.28/26.56    (34)  all_58_18 = all_52_2
% 172.28/26.56    (35)  all_58_16 = all_6_2
% 172.28/26.56    (36)   ~ (e3 = e0)
% 172.28/26.56    (37)  all_58_29 = all_52_13
% 172.28/26.56    (38)  op(all_10_1, e0) = all_10_0
% 172.28/26.56    (39)   ~ (all_6_2 = e0)
% 172.28/26.56    (40)  all_56_4 = all_52_8
% 172.28/26.56    (41)   ~ (all_52_9 = all_10_1)
% 172.28/26.56    (42)  all_58_17 = e0
% 172.28/26.56    (43)   ~ (all_14_2 = all_10_1)
% 172.28/26.56    (44)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 172.28/26.56    (45)   ~ (all_52_8 = all_6_2)
% 172.28/26.56    (46)  all_56_6 = all_52_2
% 172.28/26.56    (47)  all_58_13 = all_14_2
% 172.28/26.56    (48)  all_56_13 = e0
% 172.28/26.56    (49)  all_58_24 = all_52_8
% 172.28/26.56    (50)  all_58_27 = all_10_1
% 172.28/26.56    (51)   ~ (all_52_2 = all_52_3)
% 172.28/26.56    (52)   ~ (all_52_14 = all_14_2)
% 172.28/26.56    (53)  all_58_25 = all_52_9
% 172.28/26.56    (54)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.28/26.56            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.28/26.56    (55)   ~ (all_52_2 = all_52_14)
% 172.28/26.56    (56)  all_56_10 = all_52_13
% 172.28/26.56    (57)   ~ (all_52_3 = e0)
% 172.28/26.56    (58)   ~ (e2 = e0)
% 172.28/26.56    (59)   ~ (all_52_3 = all_10_1)
% 172.28/26.56    (60)   ~ (all_52_14 = e0)
% 172.28/26.56    (61)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.28/26.56            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.28/26.56            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.28/26.56            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.28/26.56            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.28/26.56            (all_58_15 = e0))
% 172.28/26.56    (62)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.28/26.56    (63)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 172.28/26.56    (64)   ~ (all_10_1 = e0)
% 172.28/26.56  
% 172.28/26.56  Begin of proof
% 172.28/26.56  | 
% 172.28/26.56  | REDUCE: (28), (52) imply:
% 172.28/26.56  |   (65)   ~ (all_14_2 = e1)
% 172.28/26.56  | 
% 172.28/26.56  | SIMP: (65) implies:
% 172.28/26.56  |   (66)   ~ (all_14_2 = e1)
% 172.28/26.56  | 
% 172.28/26.56  | REDUCE: (28), (60) imply:
% 172.28/26.56  |   (67)   ~ (e1 = e0)
% 172.28/26.56  | 
% 172.28/26.56  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 172.28/26.56  |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 172.28/26.56  |            (24), (25), (26), (27), (29), (30), (31), (32), (33), (34), (35),
% 172.28/26.56  |            (36), (37), (38), (39), (40), (41), (42), (43), (44), (45), (46),
% 172.28/26.56  |            (47), (48), (49), (50), (51), (53), (54), (55), (56), (57), (58),
% 172.28/26.56  |            (59), (61), (62), (63), (64), (66), (67) are inconsistent by
% 172.28/26.56  |            sub-proof #315.
% 172.28/26.56  | 
% 172.28/26.56  End of proof
% 172.28/26.56  
% 172.28/26.56  Sub-proof #256 shows that the following formulas are inconsistent:
% 172.28/26.56  ----------------------------------------------------------------
% 172.28/26.56    (1)   ~ (all_52_12 = all_14_2)
% 172.28/26.56    (2)  op(e0, e0) = all_14_2
% 172.28/26.56    (3)  all_54_8 = all_52_2
% 172.28/26.56    (4)  all_56_1 = all_52_4
% 172.28/26.56    (5)  all_56_12 = all_52_3
% 172.28/26.56    (6)  all_56_15 = e0 | ((all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 172.28/26.56           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0))
% 172.28/26.56    (7)  op(e1, e3) = all_52_2
% 172.28/26.56    (8)  op(e3, all_52_12) = all_58_3
% 172.28/26.56    (9)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 172.28/26.56    (10)   ~ (all_52_8 = all_52_12)
% 172.28/26.56    (11)   ~ (e3 = e1)
% 172.28/26.56    (12)  all_58_23 = all_52_7
% 172.28/26.56    (13)   ~ (all_52_2 = all_6_2)
% 172.28/26.56    (14)   ~ (all_52_3 = all_14_2)
% 172.28/26.56    (15)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.28/26.56    (16)  all_56_5 = all_52_9
% 172.28/26.56    (17)  op(all_6_2, e3) = all_6_1
% 172.28/26.56    (18)   ~ (all_52_12 = all_6_2)
% 172.28/26.56    (19)   ~ (all_52_6 = all_4_2)
% 172.28/26.56    (20)  op(e3, all_6_2) = all_58_0
% 172.28/26.56    (21)  op(e1, e0) = all_52_14
% 172.28/26.56    (22)  all_56_15 = all_14_2
% 172.28/26.56    (23)  op(e0, e2) = all_52_7
% 172.28/26.56    (24)  all_54_1 = all_52_4
% 172.28/26.56    (25)   ~ (all_52_9 = all_4_2)
% 172.28/26.56    (26)   ~ (all_52_3 = all_52_7)
% 172.28/26.56    (27)  all_54_6 = all_52_9
% 172.28/26.56    (28)   ~ (all_52_7 = all_10_1)
% 172.28/26.56    (29)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 172.28/26.56    (30)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 172.28/26.56    (31)   ~ (all_52_13 = all_4_2)
% 172.28/26.56    (32)  op(e0, all_52_3) = all_58_12
% 172.28/26.56    (33)  all_48_2 = all_14_2
% 172.28/26.56    (34)  op(e2, all_52_1) = all_58_4
% 172.28/26.56    (35)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.28/26.56    (36)   ~ (all_52_4 = all_52_6)
% 172.28/26.56    (37)  all_58_31 = all_14_2
% 172.28/26.56    (38)   ~ (all_52_9 = all_52_13)
% 172.28/26.56    (39)   ~ (all_52_3 = all_6_2)
% 172.28/26.56    (40)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.28/26.56    (41)  op(all_6_1, all_6_2) = all_6_0
% 172.28/26.56    (42)   ~ (all_52_1 = all_6_2)
% 172.28/26.56    (43)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 172.28/26.56    (44)  all_54_2 = all_52_8
% 172.28/26.56    (45)  all_56_11 = all_52_14
% 172.28/26.56    (46)  op(e2, e1) = all_52_9
% 172.28/26.56    (47)   ~ (all_52_6 = all_52_7)
% 172.28/26.56    (48)  all_56_2 = e2 | all_56_3 = e2 | all_56_5 = e2 | all_56_10 = e2
% 172.28/26.56    (49)  all_56_0 = all_6_2
% 172.28/26.56    (50)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.28/26.56    (51)  all_58_30 = all_52_14
% 172.28/26.56    (52)  all_24_1 = all_4_1
% 172.28/26.56    (53)  op(all_4_2, e2) = all_4_1
% 172.28/26.56    (54)  all_58_17 = all_52_1
% 172.28/26.56    (55)  all_42_2 = all_6_2
% 172.28/26.56    (56)   ~ (all_42_0 = e1) |  ~ (all_42_1 = e2) |  ~ (all_42_2 = e0)
% 172.28/26.56    (57)  all_56_14 = all_10_1
% 172.28/26.56    (58)  all_58_19 = all_52_3
% 172.28/26.56    (59)  all_56_9 = all_52_12
% 172.28/26.57    (60)   ~ (all_40_0 = e3) |  ~ (all_40_1 = e1) |  ~ (all_40_2 = e0)
% 172.28/26.57    (61)   ~ (all_52_2 = all_52_6)
% 172.28/26.57    (62)   ~ (e3 = e2)
% 172.28/26.57    (63)   ~ (all_52_4 = all_52_7)
% 172.28/26.57    (64)   ~ (e2 = e1)
% 172.28/26.57    (65)  all_58_26 = e0
% 172.28/26.57    (66)  all_56_8 = e0
% 172.28/26.57    (67)   ~ (all_52_2 = e0)
% 172.28/26.57    (68)   ~ (all_52_7 = all_14_2)
% 172.28/26.57    (69)  all_24_0 = all_4_0
% 172.28/26.57    (70)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 172.28/26.57    (71)   ~ (all_52_13 = all_14_2)
% 172.28/26.57    (72)   ~ (all_52_1 = all_4_2)
% 172.28/26.57    (73)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.28/26.57    (74)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.28/26.57    (75)  all_54_9 = all_52_6
% 172.28/26.57    (76)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.28/26.57    (77)   ~ (all_52_13 = all_52_14)
% 172.28/26.57    (78)  op(e2, e3) = all_52_1
% 172.28/26.57    (79)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3)
% 172.28/26.57    (80)   ~ (all_48_0 = e3) |  ~ (all_48_1 = e2) |  ~ (all_48_2 = e1)
% 172.28/26.57    (81)  all_58_18 = all_52_2
% 172.28/26.57    (82)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.28/26.57    (83)  all_58_16 = all_6_2
% 172.28/26.57    (84)  all_56_13 = all_52_7
% 172.28/26.57    (85)  op(e0, e3) = all_52_3
% 172.28/26.57    (86)   ~ (all_52_8 = all_52_9)
% 172.28/26.57    (87)   ~ (all_52_4 = all_6_2)
% 172.28/26.57    (88)  op(all_4_1, all_4_2) = all_4_0
% 172.28/26.57    (89)  all_40_2 = all_4_2
% 172.28/26.57    (90)  all_56_2 = all_52_1
% 172.28/26.57    (91)   ~ (all_14_0 = e1)
% 172.28/26.57    (92)   ~ (all_52_8 = all_10_1)
% 172.28/26.57    (93)   ~ (e3 = e0)
% 172.28/26.57    (94)  op(e3, e0) = all_52_12
% 172.28/26.57    (95)  all_58_29 = all_52_13
% 172.28/26.57    (96)   ~ (all_52_1 = all_52_2)
% 172.28/26.57    (97)  all_4_2 = e0
% 172.28/26.57    (98)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.28/26.57    (99)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 172.28/26.57    (100)   ~ (all_52_6 = all_52_14)
% 172.28/26.57    (101)   ~ (all_52_7 = all_4_2)
% 172.28/26.57    (102)  all_56_4 = all_52_8
% 172.28/26.57    (103)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.28/26.57    (104)   ~ (all_52_9 = all_10_1)
% 172.28/26.57    (105)  op(e1, all_52_2) = all_58_8
% 172.28/26.57    (106)  op(all_14_1, all_14_2) = all_14_0
% 172.28/26.57    (107)   ~ (all_52_1 = all_52_13)
% 172.28/26.57    (108)  all_58_20 = all_52_4
% 172.28/26.57    (109)  all_54_13 = all_52_7
% 172.28/26.57    (110)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.28/26.57    (111)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 172.28/26.57    (112)   ~ (all_14_2 = all_10_1)
% 172.28/26.57    (113)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.28/26.57    (114)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 172.28/26.57    (115)   ~ (all_52_8 = all_6_2)
% 172.28/26.57    (116)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 172.28/26.57    (117)  all_56_6 = all_52_2
% 172.28/26.57    (118)   ~ (all_52_1 = all_52_9)
% 172.28/26.57    (119)  all_58_24 = all_52_8
% 172.28/26.57    (120)   ~ (all_52_12 = all_52_14)
% 172.28/26.57    (121)  all_58_22 = all_52_6
% 172.28/26.57    (122)  op(all_14_2, e0) = all_14_1
% 172.28/26.57    (123)   ~ (all_52_4 = all_52_12)
% 172.28/26.57    (124)  all_56_3 = all_4_2
% 172.28/26.57    (125)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.28/26.57    (126)  all_54_0 = all_6_2
% 172.28/26.57    (127)  all_40_0 = all_4_0
% 172.28/26.57    (128)  all_58_27 = all_10_1
% 172.28/26.57    (129)   ~ (all_52_2 = all_52_3)
% 172.28/26.57    (130)   ~ (all_52_4 = all_52_8)
% 172.28/26.57    (131)   ~ (all_52_14 = all_14_2)
% 172.28/26.57    (132)  all_58_25 = all_52_9
% 172.28/26.57    (133)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 172.28/26.57    (134)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.28/26.57             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.28/26.57    (135)   ~ (all_52_2 = all_52_14)
% 172.28/26.57    (136)  op(e0, all_14_2) = all_58_15
% 172.28/26.57    (137)  all_58_21 = all_4_2
% 172.28/26.57    (138)  all_40_1 = all_4_1
% 172.28/26.57    (139)  all_56_10 = all_52_13
% 172.28/26.57    (140)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.28/26.57    (141)   ~ (e2 = e0)
% 172.28/26.57    (142)   ~ (all_52_1 = all_52_3)
% 172.28/26.57    (143)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 172.28/26.57    (144)   ~ (all_52_3 = all_10_1)
% 172.28/26.57    (145)   ~ (all_52_14 = e0)
% 172.28/26.57    (146)  all_58_28 = all_52_12
% 172.28/26.57    (147)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.28/26.57    (148)   ~ (e1 = e0)
% 172.28/26.57    (149)  all_54_4 = all_52_1
% 172.28/26.57    (150)  all_56_7 = all_52_6
% 172.28/26.57    (151)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.28/26.57             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.28/26.57             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.28/26.57             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.28/26.57             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.28/26.57             (all_58_15 = e0))
% 172.28/26.57    (152)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 172.28/26.57    (153)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.28/26.57    (154)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 172.28/26.57    (155)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.28/26.57           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.28/26.57           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.28/26.57           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.28/26.57           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.28/26.57           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.28/26.57           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.28/26.57           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.28/26.57           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.28/26.57           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.28/26.57             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.28/26.57             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.28/26.57             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.28/26.57             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.28/26.57             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.28/26.57             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.28/26.57             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.28/26.57             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.28/26.57             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.28/26.57             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.28/26.57             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.28/26.57             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.28/26.57             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.28/26.57             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.28/26.57             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.28/26.57             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.28/26.57           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.28/26.57           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.28/26.57           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.28/26.57             all_58_30 = e0 & e1 = e0)
% 172.28/26.57    (156)  all_54_7 = all_52_13
% 172.28/26.57    (157)  op(e1, e2) = all_52_6
% 172.28/26.57    (158)   ~ (all_10_1 = e0)
% 172.28/26.57    (159)  all_54_11 = all_52_14
% 172.28/26.57    (160)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.28/26.57    (161)   ~ (all_52_12 = all_52_13)
% 172.28/26.57  
% 172.28/26.57  Begin of proof
% 172.28/26.57  | 
% 172.28/26.57  | COMBINE_EQS: (89), (97) imply:
% 172.28/26.57  |   (162)  all_40_2 = e0
% 172.28/26.57  | 
% 172.28/26.57  | COMBINE_EQS: (97), (124) imply:
% 172.28/26.57  |   (163)  all_56_3 = e0
% 172.28/26.57  | 
% 172.28/26.57  | COMBINE_EQS: (97), (137) imply:
% 172.28/26.57  |   (164)  all_58_21 = e0
% 172.28/26.57  | 
% 172.28/26.57  | REDUCE: (72), (97) imply:
% 172.28/26.57  |   (165)   ~ (all_52_1 = e0)
% 172.28/26.57  | 
% 172.28/26.57  | REDUCE: (19), (97) imply:
% 172.28/26.57  |   (166)   ~ (all_52_6 = e0)
% 172.28/26.57  | 
% 172.28/26.57  | REDUCE: (97), (101) imply:
% 172.28/26.57  |   (167)   ~ (all_52_7 = e0)
% 172.28/26.57  | 
% 172.28/26.57  | REDUCE: (25), (97) imply:
% 172.28/26.57  |   (168)   ~ (all_52_9 = e0)
% 172.28/26.57  | 
% 172.28/26.57  | REDUCE: (31), (97) imply:
% 172.28/26.57  |   (169)   ~ (all_52_13 = e0)
% 172.28/26.57  | 
% 172.28/26.57  | REDUCE: (88), (97) imply:
% 172.28/26.57  |   (170)  op(all_4_1, e0) = all_4_0
% 172.28/26.57  | 
% 172.28/26.57  | REDUCE: (53), (97) imply:
% 172.28/26.57  |   (171)  op(e0, e2) = all_4_1
% 172.28/26.57  | 
% 172.28/26.57  | GROUND_INST: instantiating (134) with all_52_7, all_4_1, e2, e0, simplifying
% 172.28/26.57  |              with (23), (171) gives:
% 172.28/26.57  |   (172)  all_52_7 = all_4_1
% 172.28/26.57  | 
% 172.28/26.57  | COMBINE_EQS: (109), (172) imply:
% 172.28/26.57  |   (173)  all_54_13 = all_4_1
% 172.28/26.57  | 
% 172.28/26.57  | COMBINE_EQS: (84), (172) imply:
% 172.28/26.57  |   (174)  all_56_13 = all_4_1
% 172.28/26.57  | 
% 172.28/26.57  | COMBINE_EQS: (12), (172) imply:
% 172.28/26.57  |   (175)  all_58_23 = all_4_1
% 172.28/26.57  | 
% 172.28/26.57  | REDUCE: (26), (172) imply:
% 172.28/26.57  |   (176)   ~ (all_52_3 = all_4_1)
% 172.28/26.57  | 
% 172.28/26.57  | REDUCE: (63), (172) imply:
% 172.28/26.57  |   (177)   ~ (all_52_4 = all_4_1)
% 172.28/26.57  | 
% 172.28/26.57  | REDUCE: (47), (172) imply:
% 172.28/26.57  |   (178)   ~ (all_52_6 = all_4_1)
% 172.28/26.57  | 
% 172.28/26.57  | REDUCE: (68), (172) imply:
% 172.28/26.57  |   (179)   ~ (all_14_2 = all_4_1)
% 172.28/26.57  | 
% 172.28/26.57  | SIMP: (179) implies:
% 172.28/26.57  |   (180)   ~ (all_14_2 = all_4_1)
% 172.28/26.57  | 
% 172.28/26.57  | REDUCE: (28), (172) imply:
% 172.28/26.57  |   (181)   ~ (all_10_1 = all_4_1)
% 172.28/26.57  | 
% 172.28/26.57  | SIMP: (181) implies:
% 172.28/26.57  |   (182)   ~ (all_10_1 = all_4_1)
% 172.28/26.57  | 
% 172.28/26.57  | BETA: splitting (60) gives:
% 172.28/26.57  | 
% 172.28/26.57  | Case 1:
% 172.28/26.57  | | 
% 172.28/26.57  | |   (183)   ~ (all_40_2 = e0)
% 172.28/26.57  | | 
% 172.28/26.57  | | REDUCE: (162), (183) imply:
% 172.28/26.57  | |   (184)  $false
% 172.28/26.57  | | 
% 172.28/26.57  | | CLOSE: (184) is inconsistent.
% 172.28/26.57  | | 
% 172.28/26.57  | Case 2:
% 172.28/26.57  | | 
% 172.28/26.57  | |   (185)   ~ (all_40_0 = e3) |  ~ (all_40_1 = e1)
% 172.28/26.57  | | 
% 172.28/26.57  | | BETA: splitting (56) gives:
% 172.28/26.57  | | 
% 172.28/26.57  | | Case 1:
% 172.28/26.57  | | | 
% 172.28/26.57  | | |   (186)   ~ (all_42_2 = e0)
% 172.28/26.57  | | | 
% 172.28/26.57  | | | REDUCE: (55), (186) imply:
% 172.28/26.57  | | |   (187)   ~ (all_6_2 = e0)
% 172.28/26.57  | | | 
% 172.28/26.57  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13),
% 172.28/26.57  | | |            (14), (17), (18), (22), (24), (27), (29), (30), (32), (33),
% 172.28/26.57  | | |            (34), (35), (36), (37), (38), (40), (41), (42), (44), (45),
% 172.28/26.57  | | |            (46), (49), (50), (51), (54), (57), (59), (61), (62), (64),
% 172.28/26.57  | | |            (65), (66), (67), (70), (71), (73), (74), (75), (76), (77),
% 172.28/26.57  | | |            (78), (80), (81), (82), (83), (86), (87), (90), (92), (93),
% 172.28/26.57  | | |            (94), (95), (96), (98), (99), (100), (102), (103), (104),
% 172.28/26.57  | | |            (105), (107), (108), (110), (111), (113), (114), (115), (116),
% 172.28/26.57  | | |            (117), (118), (119), (120), (121), (123), (125), (126), (128),
% 172.28/26.57  | | |            (129), (130), (131), (132), (133), (134), (135), (139), (140),
% 172.28/26.57  | | |            (141), (142), (144), (145), (146), (147), (148), (149), (150),
% 172.28/26.57  | | |            (151), (153), (154), (155), (156), (157), (159), (160), (161),
% 172.28/26.57  | | |            (163), (164), (165), (166), (168), (169), (174), (175), (176),
% 172.28/26.57  | | |            (177), (178), (182), (187) are inconsistent by sub-proof #259.
% 172.28/26.57  | | | 
% 172.28/26.57  | | Case 2:
% 172.28/26.57  | | | 
% 172.28/26.57  | | |   (188)  all_42_2 = e0
% 172.28/26.57  | | | 
% 172.28/26.57  | | | COMBINE_EQS: (55), (188) imply:
% 172.28/26.57  | | |   (189)  all_6_2 = e0
% 172.28/26.57  | | | 
% 172.28/26.57  | | | SIMP: (189) implies:
% 172.28/26.57  | | |   (190)  all_6_2 = e0
% 172.28/26.57  | | | 
% 172.28/26.57  | | | COMBINE_EQS: (49), (190) imply:
% 172.28/26.57  | | |   (191)  all_56_0 = e0
% 172.28/26.57  | | | 
% 172.28/26.57  | | | COMBINE_EQS: (83), (190) imply:
% 172.28/26.57  | | |   (192)  all_58_16 = e0
% 172.28/26.57  | | | 
% 172.28/26.57  | | | REDUCE: (39), (190) imply:
% 172.28/26.57  | | |   (193)   ~ (all_52_3 = e0)
% 172.28/26.57  | | | 
% 172.28/26.57  | | | REDUCE: (87), (190) imply:
% 172.28/26.57  | | |   (194)   ~ (all_52_4 = e0)
% 172.28/26.57  | | | 
% 172.28/26.57  | | | REDUCE: (17), (190) imply:
% 172.28/26.57  | | |   (195)  op(e0, e3) = all_6_1
% 172.28/26.57  | | | 
% 172.28/26.57  | | | REDUCE: (20), (190) imply:
% 172.28/26.57  | | |   (196)  op(e3, e0) = all_58_0
% 172.28/26.57  | | | 
% 172.28/26.57  | | | BETA: splitting (6) gives:
% 172.28/26.57  | | | 
% 172.28/26.57  | | | Case 1:
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | |   (197)  all_56_15 = e0
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | | COMBINE_EQS: (22), (197) imply:
% 172.28/26.57  | | | |   (198)  all_14_2 = e0
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | | SIMP: (198) implies:
% 172.28/26.57  | | | |   (199)  all_14_2 = e0
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | | REDUCE: (112), (199) imply:
% 172.28/26.57  | | | |   (200)   ~ (all_10_1 = e0)
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | | REDUCE: (180), (199) imply:
% 172.28/26.57  | | | |   (201)   ~ (all_4_1 = e0)
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | | SIMP: (201) implies:
% 172.28/26.57  | | | |   (202)   ~ (all_4_1 = e0)
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | | REDUCE: (106), (199) imply:
% 172.28/26.57  | | | |   (203)  op(all_14_1, e0) = all_14_0
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | | REDUCE: (122), (199) imply:
% 172.28/26.57  | | | |   (204)  op(e0, e0) = all_14_1
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | | REDUCE: (136), (199) imply:
% 172.28/26.57  | | | |   (205)  op(e0, e0) = all_58_15
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | | REDUCE: (2), (199) imply:
% 172.28/26.57  | | | |   (206)  op(e0, e0) = e0
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | | GROUND_INST: instantiating (134) with all_14_1, all_58_15, e0, e0,
% 172.28/26.57  | | | |              simplifying with (204), (205) gives:
% 172.28/26.57  | | | |   (207)  all_58_15 = all_14_1
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | | GROUND_INST: instantiating (134) with e0, all_58_15, e0, e0, simplifying
% 172.28/26.57  | | | |              with (205), (206) gives:
% 172.28/26.57  | | | |   (208)  all_58_15 = e0
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | | GROUND_INST: instantiating (134) with all_52_3, all_6_1, e3, e0,
% 172.28/26.57  | | | |              simplifying with (85), (195) gives:
% 172.28/26.57  | | | |   (209)  all_52_3 = all_6_1
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | | GROUND_INST: instantiating (134) with all_52_12, all_58_0, e0, e3,
% 172.28/26.57  | | | |              simplifying with (94), (196) gives:
% 172.28/26.57  | | | |   (210)  all_58_0 = all_52_12
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | | COMBINE_EQS: (207), (208) imply:
% 172.28/26.57  | | | |   (211)  all_14_1 = e0
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | | SIMP: (211) implies:
% 172.28/26.57  | | | |   (212)  all_14_1 = e0
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | | COMBINE_EQS: (58), (209) imply:
% 172.28/26.57  | | | |   (213)  all_58_19 = all_6_1
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | | REDUCE: (193), (209) imply:
% 172.28/26.57  | | | |   (214)   ~ (all_6_1 = e0)
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | | REDUCE: (203), (212) imply:
% 172.28/26.57  | | | |   (215)  op(e0, e0) = all_14_0
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | | GROUND_INST: instantiating (134) with e0, all_14_0, e0, e0, simplifying
% 172.28/26.57  | | | |              with (206), (215) gives:
% 172.28/26.57  | | | |   (216)  all_14_0 = e0
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | | REDUCE: (91), (216) imply:
% 172.28/26.57  | | | |   (217)   ~ (e1 = e0)
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | | REF_CLOSE: (4), (11), (15), (16), (21), (36), (40), (43), (45), (48),
% 172.28/26.57  | | | |            (50), (52), (54), (57), (59), (61), (62), (64), (65), (66),
% 172.28/26.57  | | | |            (67), (69), (76), (79), (81), (90), (93), (94), (96), (98),
% 172.28/26.57  | | | |            (102), (108), (113), (117), (118), (119), (121), (125),
% 172.28/26.57  | | | |            (127), (128), (130), (132), (134), (138), (141), (143),
% 172.28/26.57  | | | |            (147), (148), (150), (152), (158), (163), (164), (165),
% 172.28/26.57  | | | |            (166), (170), (173), (174), (175), (177), (178), (182),
% 172.28/26.57  | | | |            (185), (191), (192), (194), (202), (213), (214) are
% 172.28/26.57  | | | |            inconsistent by sub-proof #257.
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | Case 2:
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | |   (218)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) & (all_56_12
% 172.28/26.57  | | | |            = e0 | all_56_13 = e0 | all_56_14 = e0)
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | | ALPHA: (218) implies:
% 172.28/26.57  | | | |   (219)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | | BETA: splitting (219) gives:
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | | Case 1:
% 172.28/26.57  | | | | | 
% 172.28/26.57  | | | | |   (220)  all_56_12 = e0
% 172.28/26.57  | | | | | 
% 172.28/26.57  | | | | | REF_CLOSE: (5), (193), (220) are inconsistent by sub-proof #919.
% 172.28/26.57  | | | | | 
% 172.28/26.57  | | | | Case 2:
% 172.28/26.57  | | | | | 
% 172.28/26.57  | | | | |   (221)  all_56_13 = e0 | all_56_14 = e0
% 172.28/26.57  | | | | | 
% 172.28/26.57  | | | | | REF_CLOSE: (57), (84), (158), (167), (221) are inconsistent by
% 172.28/26.57  | | | | |            sub-proof #316.
% 172.28/26.57  | | | | | 
% 172.28/26.57  | | | | End of split
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | End of split
% 172.28/26.57  | | | 
% 172.28/26.57  | | End of split
% 172.28/26.57  | | 
% 172.28/26.57  | End of split
% 172.28/26.57  | 
% 172.28/26.57  End of proof
% 172.28/26.57  
% 172.28/26.57  Sub-proof #257 shows that the following formulas are inconsistent:
% 172.28/26.57  ----------------------------------------------------------------
% 172.28/26.57    (1)  all_56_1 = all_52_4
% 172.28/26.57    (2)   ~ (e3 = e1)
% 172.28/26.57    (3)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.28/26.57    (4)  all_56_5 = all_52_9
% 172.28/26.57    (5)  all_58_23 = all_4_1
% 172.28/26.57    (6)  op(e1, e0) = all_52_14
% 172.28/26.57    (7)  all_58_19 = all_6_1
% 172.28/26.57    (8)  all_56_13 = all_4_1
% 172.28/26.57    (9)   ~ (all_52_4 = all_52_6)
% 172.28/26.57    (10)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.28/26.57    (11)   ~ (all_52_4 = e0)
% 172.28/26.57    (12)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 172.28/26.57    (13)  all_56_11 = all_52_14
% 172.28/26.57    (14)   ~ (all_4_1 = e0)
% 172.28/26.57    (15)  all_56_2 = e2 | all_56_3 = e2 | all_56_5 = e2 | all_56_10 = e2
% 172.28/26.57    (16)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.28/26.57    (17)  all_24_1 = all_4_1
% 172.28/26.57    (18)  all_58_17 = all_52_1
% 172.28/26.57    (19)  all_58_21 = e0
% 172.28/26.57    (20)  all_56_14 = all_10_1
% 172.28/26.57    (21)  all_56_9 = all_52_12
% 172.28/26.57    (22)   ~ (all_52_2 = all_52_6)
% 172.28/26.57    (23)   ~ (all_52_4 = all_4_1)
% 172.28/26.57    (24)   ~ (e3 = e2)
% 172.28/26.57    (25)   ~ (e2 = e1)
% 172.28/26.57    (26)  all_58_26 = e0
% 172.28/26.57    (27)  all_56_8 = e0
% 172.28/26.57    (28)   ~ (all_52_2 = e0)
% 172.28/26.57    (29)  all_24_0 = all_4_0
% 172.28/26.57    (30)   ~ (all_10_1 = all_4_1)
% 172.28/26.57    (31)   ~ (all_52_6 = all_4_1)
% 172.28/26.57    (32)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.28/26.57    (33)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3)
% 172.28/26.57    (34)  all_58_18 = all_52_2
% 172.28/26.57    (35)  all_58_16 = e0
% 172.28/26.57    (36)  all_56_2 = all_52_1
% 172.28/26.57    (37)   ~ (e3 = e0)
% 172.28/26.57    (38)  op(e3, e0) = all_52_12
% 172.28/26.57    (39)   ~ (all_40_0 = e3) |  ~ (all_40_1 = e1)
% 172.28/26.57    (40)   ~ (all_52_1 = all_52_2)
% 172.28/26.57    (41)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.28/26.57    (42)  all_56_4 = all_52_8
% 172.28/26.57    (43)  all_58_20 = all_52_4
% 172.28/26.57    (44)  all_54_13 = all_4_1
% 172.28/26.57    (45)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.28/26.57    (46)  all_56_6 = all_52_2
% 172.28/26.57    (47)   ~ (all_52_1 = all_52_9)
% 172.28/26.57    (48)  all_58_24 = all_52_8
% 172.28/26.57    (49)  all_56_3 = e0
% 172.28/26.57    (50)  all_58_22 = all_52_6
% 172.28/26.57    (51)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.28/26.57    (52)  all_40_0 = all_4_0
% 172.28/26.57    (53)  all_58_27 = all_10_1
% 172.28/26.57    (54)   ~ (all_52_1 = e0)
% 172.28/26.57    (55)  op(all_4_1, e0) = all_4_0
% 172.28/26.57    (56)   ~ (all_52_4 = all_52_8)
% 172.28/26.57    (57)  all_58_25 = all_52_9
% 172.28/26.57    (58)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.28/26.57            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.28/26.57    (59)   ~ (all_6_1 = e0)
% 172.28/26.57    (60)   ~ (all_52_6 = e0)
% 172.28/26.57    (61)  all_40_1 = all_4_1
% 172.28/26.57    (62)  all_56_0 = e0
% 172.28/26.57    (63)   ~ (e2 = e0)
% 172.28/26.57    (64)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 172.28/26.57    (65)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.28/26.57    (66)   ~ (e1 = e0)
% 172.28/26.57    (67)  all_56_7 = all_52_6
% 172.28/26.57    (68)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 172.28/26.57    (69)   ~ (all_10_1 = e0)
% 172.28/26.57  
% 172.28/26.57  Begin of proof
% 172.28/26.57  | 
% 172.28/26.57  | BETA: splitting (64) gives:
% 172.28/26.57  | 
% 172.28/26.57  | Case 1:
% 172.28/26.57  | | 
% 172.28/26.57  | |   (70)  all_54_13 = e0
% 172.28/26.57  | | 
% 172.28/26.57  | | REF_CLOSE: (14), (44), (70) are inconsistent by sub-proof #575.
% 172.28/26.57  | | 
% 172.28/26.57  | Case 2:
% 172.28/26.57  | | 
% 172.28/26.57  | |   (71)   ~ (all_54_13 = e0)
% 172.28/26.57  | |   (72)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 172.28/26.57  | | 
% 172.28/26.57  | | BETA: splitting (16) gives:
% 172.28/26.57  | | 
% 172.28/26.57  | | Case 1:
% 172.28/26.57  | | | 
% 172.28/26.57  | | |   (73)  all_58_27 = e0
% 172.28/26.57  | | | 
% 172.28/26.57  | | | COMBINE_EQS: (53), (73) imply:
% 172.28/26.57  | | |   (74)  all_10_1 = e0
% 172.28/26.57  | | | 
% 172.28/26.57  | | | REDUCE: (69), (74) imply:
% 172.28/26.57  | | |   (75)  $false
% 172.28/26.57  | | | 
% 172.28/26.57  | | | CLOSE: (75) is inconsistent.
% 172.28/26.57  | | | 
% 172.28/26.57  | | Case 2:
% 172.28/26.57  | | | 
% 172.28/26.57  | | |   (76)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.28/26.57  | | | 
% 172.28/26.57  | | | BETA: splitting (45) gives:
% 172.28/26.57  | | | 
% 172.28/26.57  | | | Case 1:
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | |   (77)  all_58_23 = e0
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | | COMBINE_EQS: (5), (77) imply:
% 172.28/26.57  | | | |   (78)  all_4_1 = e0
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | | REDUCE: (14), (78) imply:
% 172.28/26.57  | | | |   (79)  $false
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | | CLOSE: (79) is inconsistent.
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | Case 2:
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | |   (80)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | | BETA: splitting (3) gives:
% 172.28/26.57  | | | | 
% 172.28/26.57  | | | | Case 1:
% 172.28/26.57  | | | | | 
% 172.28/26.57  | | | | |   (81)  all_58_19 = e0
% 172.28/26.57  | | | | | 
% 172.28/26.57  | | | | | COMBINE_EQS: (7), (81) imply:
% 172.28/26.57  | | | | |   (82)  all_6_1 = e0
% 172.28/26.57  | | | | | 
% 172.28/26.57  | | | | | REDUCE: (59), (82) imply:
% 172.28/26.57  | | | | |   (83)  $false
% 172.28/26.57  | | | | | 
% 172.28/26.57  | | | | | CLOSE: (83) is inconsistent.
% 172.28/26.57  | | | | | 
% 172.28/26.57  | | | | Case 2:
% 172.28/26.57  | | | | | 
% 172.28/26.57  | | | | |   (84)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.28/26.57  | | | | | 
% 172.28/26.57  | | | | | BETA: splitting (41) gives:
% 172.28/26.57  | | | | | 
% 172.28/26.57  | | | | | Case 1:
% 172.28/26.57  | | | | | | 
% 172.28/26.57  | | | | | |   (85)  all_56_6 = e2
% 172.28/26.57  | | | | | | 
% 172.28/26.57  | | | | | | COMBINE_EQS: (46), (85) imply:
% 172.28/26.57  | | | | | |   (86)  all_52_2 = e2
% 172.28/26.57  | | | | | | 
% 172.28/26.57  | | | | | | COMBINE_EQS: (34), (86) imply:
% 172.28/26.57  | | | | | |   (87)  all_58_18 = e2
% 172.28/26.57  | | | | | | 
% 172.28/26.57  | | | | | | REDUCE: (40), (86) imply:
% 172.28/26.57  | | | | | |   (88)   ~ (all_52_1 = e2)
% 172.28/26.57  | | | | | | 
% 172.28/26.57  | | | | | | BETA: splitting (84) gives:
% 172.28/26.57  | | | | | | 
% 172.28/26.57  | | | | | | Case 1:
% 172.28/26.57  | | | | | | | 
% 172.28/26.57  | | | | | | |   (89)  all_58_18 = e1
% 172.28/26.57  | | | | | | | 
% 172.28/26.57  | | | | | | | REF_CLOSE: (25), (87), (89) are inconsistent by sub-proof #610.
% 172.28/26.57  | | | | | | | 
% 172.28/26.57  | | | | | | Case 2:
% 172.28/26.57  | | | | | | | 
% 172.28/26.57  | | | | | | |   (90)  all_58_16 = e3 | all_58_17 = e2
% 172.28/26.57  | | | | | | | 
% 172.28/26.57  | | | | | | | REF_CLOSE: (18), (35), (37), (88), (90) are inconsistent by
% 172.28/26.57  | | | | | | |            sub-proof #608.
% 172.28/26.57  | | | | | | | 
% 172.28/26.57  | | | | | | End of split
% 172.28/26.57  | | | | | | 
% 172.28/26.57  | | | | | Case 2:
% 172.28/26.57  | | | | | | 
% 172.28/26.57  | | | | | |   (91)   ~ (all_56_6 = e2)
% 172.28/26.57  | | | | | | 
% 172.28/26.57  | | | | | | REDUCE: (46), (91) imply:
% 172.28/26.57  | | | | | |   (92)   ~ (all_52_2 = e2)
% 172.28/26.57  | | | | | | 
% 172.28/26.57  | | | | | | BETA: splitting (15) gives:
% 172.28/26.57  | | | | | | 
% 172.28/26.57  | | | | | | Case 1:
% 172.28/26.57  | | | | | | | 
% 172.28/26.57  | | | | | | |   (93)  all_56_2 = e2
% 172.28/26.57  | | | | | | | 
% 172.28/26.57  | | | | | | | COMBINE_EQS: (36), (93) imply:
% 172.28/26.57  | | | | | | |   (94)  all_52_1 = e2
% 172.28/26.57  | | | | | | | 
% 172.28/26.57  | | | | | | | REDUCE: (47), (94) imply:
% 172.28/26.57  | | | | | | |   (95)   ~ (all_52_9 = e2)
% 172.28/26.57  | | | | | | | 
% 172.28/26.57  | | | | | | | SIMP: (95) implies:
% 172.28/26.57  | | | | | | |   (96)   ~ (all_52_9 = e2)
% 172.28/26.57  | | | | | | | 
% 172.28/26.57  | | | | | | | BETA: splitting (76) gives:
% 172.28/26.57  | | | | | | | 
% 172.28/26.57  | | | | | | | Case 1:
% 172.28/26.57  | | | | | | | | 
% 172.28/26.57  | | | | | | | |   (97)  all_58_26 = e1
% 172.28/26.57  | | | | | | | | 
% 172.28/26.57  | | | | | | | | REF_CLOSE: (26), (66), (97) are inconsistent by sub-proof #312.
% 172.28/26.57  | | | | | | | | 
% 172.28/26.57  | | | | | | | Case 2:
% 172.28/26.57  | | | | | | | | 
% 172.28/26.57  | | | | | | | |   (98)  all_58_24 = e3 | all_58_25 = e2
% 172.28/26.57  | | | | | | | | 
% 172.28/26.57  | | | | | | | | BETA: splitting (98) gives:
% 172.28/26.57  | | | | | | | | 
% 172.28/26.57  | | | | | | | | Case 1:
% 172.28/26.57  | | | | | | | | | 
% 172.28/26.57  | | | | | | | | |   (99)  all_58_25 = e2
% 172.28/26.57  | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | COMBINE_EQS: (57), (99) imply:
% 172.28/26.57  | | | | | | | | |   (100)  all_52_9 = e2
% 172.28/26.57  | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | REDUCE: (96), (100) imply:
% 172.28/26.57  | | | | | | | | |   (101)  $false
% 172.28/26.57  | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | CLOSE: (101) is inconsistent.
% 172.28/26.57  | | | | | | | | | 
% 172.28/26.57  | | | | | | | | Case 2:
% 172.28/26.57  | | | | | | | | | 
% 172.28/26.57  | | | | | | | | |   (102)  all_58_24 = e3
% 172.28/26.57  | | | | | | | | |   (103)   ~ (all_58_25 = e2)
% 172.28/26.57  | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | COMBINE_EQS: (48), (102) imply:
% 172.28/26.57  | | | | | | | | |   (104)  all_52_8 = e3
% 172.28/26.57  | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | COMBINE_EQS: (42), (104) imply:
% 172.28/26.57  | | | | | | | | |   (105)  all_56_4 = e3
% 172.28/26.57  | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | REDUCE: (56), (104) imply:
% 172.28/26.57  | | | | | | | | |   (106)   ~ (all_52_4 = e3)
% 172.28/26.57  | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | BETA: splitting (80) gives:
% 172.28/26.57  | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | Case 1:
% 172.28/26.57  | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | |   (107)  all_58_22 = e1
% 172.28/26.57  | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | COMBINE_EQS: (50), (107) imply:
% 172.28/26.57  | | | | | | | | | |   (108)  all_52_6 = e1
% 172.28/26.57  | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | REDUCE: (9), (108) imply:
% 172.28/26.57  | | | | | | | | | |   (109)   ~ (all_52_4 = e1)
% 172.28/26.57  | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | REDUCE: (31), (108) imply:
% 172.28/26.57  | | | | | | | | | |   (110)   ~ (all_4_1 = e1)
% 172.28/26.57  | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | SIMP: (110) implies:
% 172.28/26.57  | | | | | | | | | |   (111)   ~ (all_4_1 = e1)
% 172.28/26.57  | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | BETA: splitting (12) gives:
% 172.28/26.57  | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | Case 1:
% 172.28/26.57  | | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | |   (112)  all_56_4 = e2
% 172.28/26.57  | | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | | COMBINE_EQS: (105), (112) imply:
% 172.28/26.57  | | | | | | | | | | |   (113)  e3 = e2
% 172.28/26.57  | | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | | REDUCE: (24), (113) imply:
% 172.28/26.57  | | | | | | | | | | |   (114)  $false
% 172.28/26.57  | | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | | CLOSE: (114) is inconsistent.
% 172.28/26.57  | | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | Case 2:
% 172.28/26.57  | | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | |   (115)  all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 172.28/26.57  | | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | | BETA: splitting (115) gives:
% 172.28/26.57  | | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | | Case 1:
% 172.28/26.57  | | | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | | |   (116)  all_56_5 = e2
% 172.28/26.57  | | | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | | | COMBINE_EQS: (4), (116) imply:
% 172.28/26.57  | | | | | | | | | | | |   (117)  all_52_9 = e2
% 172.28/26.57  | | | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | | | REDUCE: (96), (117) imply:
% 172.28/26.57  | | | | | | | | | | | |   (118)  $false
% 172.28/26.57  | | | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | | | CLOSE: (118) is inconsistent.
% 172.28/26.57  | | | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | | Case 2:
% 172.28/26.57  | | | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | | |   (119)  all_56_8 = e2 | all_56_14 = e2
% 172.28/26.57  | | | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | | | BETA: splitting (119) gives:
% 172.28/26.57  | | | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | | | Case 1:
% 172.28/26.57  | | | | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | | | |   (120)  all_56_8 = e2
% 172.28/26.57  | | | | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | | | | REF_CLOSE: (27), (63), (120) are inconsistent by sub-proof
% 172.28/26.57  | | | | | | | | | | | | |            #258.
% 172.28/26.57  | | | | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | | | Case 2:
% 172.28/26.57  | | | | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | | | |   (121)  all_56_14 = e2
% 172.28/26.57  | | | | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | | | | COMBINE_EQS: (20), (121) imply:
% 172.28/26.57  | | | | | | | | | | | | |   (122)  all_10_1 = e2
% 172.28/26.57  | | | | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | | | | SIMP: (122) implies:
% 172.28/26.57  | | | | | | | | | | | | |   (123)  all_10_1 = e2
% 172.28/26.57  | | | | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | | | | REDUCE: (30), (123) imply:
% 172.28/26.57  | | | | | | | | | | | | |   (124)   ~ (all_4_1 = e2)
% 172.28/26.57  | | | | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | | | | SIMP: (124) implies:
% 172.28/26.57  | | | | | | | | | | | | |   (125)   ~ (all_4_1 = e2)
% 172.28/26.57  | | | | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | | | | REF_CLOSE: (1), (2), (17), (21), (29), (32), (33), (38),
% 172.28/26.57  | | | | | | | | | | | | |            (44), (51), (55), (58), (62), (66), (72), (105),
% 172.28/26.57  | | | | | | | | | | | | |            (109), (111), (125) are inconsistent by sub-proof
% 172.28/26.57  | | | | | | | | | | | | |            #510.
% 172.28/26.57  | | | | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | | | End of split
% 172.28/26.57  | | | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | | End of split
% 172.28/26.57  | | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | End of split
% 172.28/26.57  | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | Case 2:
% 172.28/26.57  | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | |   (126)  all_58_20 = e3 | all_58_21 = e2
% 172.28/26.57  | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | | REF_CLOSE: (19), (43), (63), (106), (126) are inconsistent by
% 172.28/26.57  | | | | | | | | | |            sub-proof #720.
% 172.28/26.57  | | | | | | | | | | 
% 172.28/26.57  | | | | | | | | | End of split
% 172.28/26.57  | | | | | | | | | 
% 172.28/26.57  | | | | | | | | End of split
% 172.28/26.57  | | | | | | | | 
% 172.28/26.57  | | | | | | | End of split
% 172.28/26.57  | | | | | | | 
% 172.28/26.57  | | | | | | Case 2:
% 172.28/26.57  | | | | | | | 
% 172.28/26.57  | | | | | | |   (127)   ~ (all_56_2 = e2)
% 172.28/26.57  | | | | | | | 
% 172.28/26.57  | | | | | | | REDUCE: (36), (127) imply:
% 172.28/26.58  | | | | | | |   (128)   ~ (all_52_1 = e2)
% 172.28/26.58  | | | | | | | 
% 172.28/26.58  | | | | | | | BETA: splitting (84) gives:
% 172.28/26.58  | | | | | | | 
% 172.28/26.58  | | | | | | | Case 1:
% 172.28/26.58  | | | | | | | | 
% 172.28/26.58  | | | | | | | |   (129)  all_58_18 = e1
% 172.28/26.58  | | | | | | | | 
% 172.28/26.58  | | | | | | | | COMBINE_EQS: (34), (129) imply:
% 172.28/26.58  | | | | | | | |   (130)  all_52_2 = e1
% 172.28/26.58  | | | | | | | | 
% 172.28/26.58  | | | | | | | | SIMP: (130) implies:
% 172.28/26.58  | | | | | | | |   (131)  all_52_2 = e1
% 172.28/26.58  | | | | | | | | 
% 172.28/26.58  | | | | | | | | COMBINE_EQS: (46), (131) imply:
% 172.28/26.58  | | | | | | | |   (132)  all_56_6 = e1
% 172.28/26.58  | | | | | | | | 
% 172.28/26.58  | | | | | | | | REDUCE: (22), (131) imply:
% 172.28/26.58  | | | | | | | |   (133)   ~ (all_52_6 = e1)
% 172.28/26.58  | | | | | | | | 
% 172.28/26.58  | | | | | | | | SIMP: (133) implies:
% 172.28/26.58  | | | | | | | |   (134)   ~ (all_52_6 = e1)
% 172.28/26.58  | | | | | | | | 
% 172.28/26.58  | | | | | | | | REDUCE: (92), (131) imply:
% 172.28/26.58  | | | | | | | |   (135)   ~ (e2 = e1)
% 172.28/26.58  | | | | | | | | 
% 172.28/26.58  | | | | | | | | BETA: splitting (80) gives:
% 172.28/26.58  | | | | | | | | 
% 172.28/26.58  | | | | | | | | Case 1:
% 172.28/26.58  | | | | | | | | | 
% 172.28/26.58  | | | | | | | | |   (136)  all_58_22 = e1
% 172.28/26.58  | | | | | | | | | 
% 172.28/26.58  | | | | | | | | | COMBINE_EQS: (50), (136) imply:
% 172.28/26.58  | | | | | | | | |   (137)  all_52_6 = e1
% 172.28/26.58  | | | | | | | | | 
% 172.28/26.58  | | | | | | | | | REDUCE: (134), (137) imply:
% 172.28/26.58  | | | | | | | | |   (138)  $false
% 172.28/26.58  | | | | | | | | | 
% 172.28/26.58  | | | | | | | | | CLOSE: (138) is inconsistent.
% 172.28/26.58  | | | | | | | | | 
% 172.28/26.58  | | | | | | | | Case 2:
% 172.28/26.58  | | | | | | | | | 
% 172.28/26.58  | | | | | | | | |   (139)   ~ (all_58_22 = e1)
% 172.28/26.58  | | | | | | | | |   (140)  all_58_20 = e3 | all_58_21 = e2
% 172.28/26.58  | | | | | | | | | 
% 172.28/26.58  | | | | | | | | | BETA: splitting (140) gives:
% 172.28/26.58  | | | | | | | | | 
% 172.28/26.58  | | | | | | | | | Case 1:
% 172.28/26.58  | | | | | | | | | | 
% 172.28/26.58  | | | | | | | | | |   (141)  all_58_21 = e2
% 172.28/26.58  | | | | | | | | | | 
% 172.28/26.58  | | | | | | | | | | REF_CLOSE: (19), (63), (141) are inconsistent by sub-proof
% 172.28/26.58  | | | | | | | | | |            #721.
% 172.28/26.58  | | | | | | | | | | 
% 172.28/26.58  | | | | | | | | | Case 2:
% 172.28/26.58  | | | | | | | | | | 
% 172.28/26.58  | | | | | | | | | |   (142)  all_58_20 = e3
% 172.28/26.58  | | | | | | | | | |   (143)   ~ (all_58_21 = e2)
% 172.28/26.58  | | | | | | | | | | 
% 172.28/26.58  | | | | | | | | | | COMBINE_EQS: (43), (142) imply:
% 172.28/26.58  | | | | | | | | | |   (144)  all_52_4 = e3
% 172.28/26.58  | | | | | | | | | | 
% 172.28/26.58  | | | | | | | | | | COMBINE_EQS: (1), (144) imply:
% 172.28/26.58  | | | | | | | | | |   (145)  all_56_1 = e3
% 172.28/26.58  | | | | | | | | | | 
% 172.28/26.58  | | | | | | | | | | REDUCE: (19), (143) imply:
% 172.28/26.58  | | | | | | | | | |   (146)   ~ (e2 = e0)
% 172.28/26.58  | | | | | | | | | | 
% 172.28/26.58  | | | | | | | | | | REDUCE: (9), (144) imply:
% 172.28/26.58  | | | | | | | | | |   (147)   ~ (all_52_6 = e3)
% 172.28/26.58  | | | | | | | | | | 
% 172.28/26.58  | | | | | | | | | | SIMP: (147) implies:
% 172.28/26.58  | | | | | | | | | |   (148)   ~ (all_52_6 = e3)
% 172.28/26.58  | | | | | | | | | | 
% 172.28/26.58  | | | | | | | | | | REDUCE: (23), (144) imply:
% 172.28/26.58  | | | | | | | | | |   (149)   ~ (all_4_1 = e3)
% 172.28/26.58  | | | | | | | | | | 
% 172.28/26.58  | | | | | | | | | | SIMP: (149) implies:
% 172.28/26.58  | | | | | | | | | |   (150)   ~ (all_4_1 = e3)
% 172.28/26.58  | | | | | | | | | | 
% 172.28/26.58  | | | | | | | | | | REF_CLOSE: (2), (6), (8), (10), (13), (24), (25), (27), (37),
% 172.28/26.58  | | | | | | | | | |            (39), (49), (52), (55), (58), (61), (63), (65),
% 172.28/26.58  | | | | | | | | | |            (66), (67), (68), (132), (134), (145), (148),
% 172.28/26.58  | | | | | | | | | |            (150) are inconsistent by sub-proof #330.
% 172.28/26.58  | | | | | | | | | | 
% 172.28/26.58  | | | | | | | | | End of split
% 172.28/26.58  | | | | | | | | | 
% 172.28/26.58  | | | | | | | | End of split
% 172.28/26.58  | | | | | | | | 
% 172.28/26.58  | | | | | | | Case 2:
% 172.28/26.58  | | | | | | | | 
% 172.28/26.58  | | | | | | | |   (151)  all_58_16 = e3 | all_58_17 = e2
% 172.28/26.58  | | | | | | | | 
% 172.28/26.58  | | | | | | | | REF_CLOSE: (18), (35), (37), (128), (151) are inconsistent by
% 172.28/26.58  | | | | | | | |            sub-proof #608.
% 172.28/26.58  | | | | | | | | 
% 172.28/26.58  | | | | | | | End of split
% 172.28/26.58  | | | | | | | 
% 172.28/26.58  | | | | | | End of split
% 172.28/26.58  | | | | | | 
% 172.28/26.58  | | | | | End of split
% 172.28/26.58  | | | | | 
% 172.28/26.58  | | | | End of split
% 172.28/26.58  | | | | 
% 172.28/26.58  | | | End of split
% 172.28/26.58  | | | 
% 172.28/26.58  | | End of split
% 172.28/26.58  | | 
% 172.28/26.58  | End of split
% 172.28/26.58  | 
% 172.28/26.58  End of proof
% 172.28/26.58  
% 172.28/26.58  Sub-proof #258 shows that the following formulas are inconsistent:
% 172.28/26.58  ----------------------------------------------------------------
% 172.28/26.58    (1)  all_56_8 = e2
% 172.28/26.58    (2)  all_56_8 = e0
% 172.28/26.58    (3)   ~ (e2 = e0)
% 172.28/26.58  
% 172.28/26.58  Begin of proof
% 172.28/26.58  | 
% 172.28/26.58  | COMBINE_EQS: (1), (2) imply:
% 172.28/26.58  |   (4)  e2 = e0
% 172.28/26.58  | 
% 172.28/26.58  | SIMP: (4) implies:
% 172.28/26.58  |   (5)  e2 = e0
% 172.28/26.58  | 
% 172.28/26.58  | REDUCE: (3), (5) imply:
% 172.28/26.58  |   (6)  $false
% 172.28/26.58  | 
% 172.28/26.58  | CLOSE: (6) is inconsistent.
% 172.28/26.58  | 
% 172.28/26.58  End of proof
% 172.28/26.58  
% 172.28/26.58  Sub-proof #259 shows that the following formulas are inconsistent:
% 172.28/26.58  ----------------------------------------------------------------
% 172.28/26.58    (1)   ~ (all_52_12 = all_14_2)
% 172.28/26.58    (2)  op(e0, e0) = all_14_2
% 172.28/26.58    (3)  all_54_8 = all_52_2
% 172.28/26.58    (4)  all_56_1 = all_52_4
% 172.28/26.58    (5)  all_56_12 = all_52_3
% 172.28/26.58    (6)  all_56_15 = e0 | ((all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 172.28/26.58           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0))
% 172.28/26.58    (7)  op(e1, e3) = all_52_2
% 172.28/26.58    (8)  op(e3, all_52_12) = all_58_3
% 172.28/26.58    (9)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 172.28/26.58    (10)   ~ (all_52_8 = all_52_12)
% 172.28/26.58    (11)   ~ (e3 = e1)
% 172.28/26.58    (12)   ~ (all_52_2 = all_6_2)
% 172.28/26.58    (13)   ~ (all_52_3 = all_14_2)
% 172.28/26.58    (14)  op(all_6_2, e3) = all_6_1
% 172.28/26.58    (15)   ~ (all_52_12 = all_6_2)
% 172.28/26.58    (16)  all_58_23 = all_4_1
% 172.28/26.58    (17)  all_56_15 = all_14_2
% 172.28/26.58    (18)  all_54_1 = all_52_4
% 172.28/26.58    (19)  all_56_13 = all_4_1
% 172.28/26.58    (20)  all_54_6 = all_52_9
% 172.28/26.58    (21)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 172.28/26.58    (22)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 172.28/26.58    (23)  op(e0, all_52_3) = all_58_12
% 172.28/26.58    (24)  all_48_2 = all_14_2
% 172.28/26.58    (25)  op(e2, all_52_1) = all_58_4
% 172.28/26.58    (26)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.28/26.58    (27)   ~ (all_52_9 = e0)
% 172.28/26.58    (28)   ~ (all_52_4 = all_52_6)
% 172.28/26.58    (29)  all_58_31 = all_14_2
% 172.28/26.58    (30)   ~ (all_52_9 = all_52_13)
% 172.28/26.58    (31)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.28/26.58    (32)  op(all_6_1, all_6_2) = all_6_0
% 172.28/26.58    (33)   ~ (all_52_1 = all_6_2)
% 172.28/26.58    (34)  all_54_2 = all_52_8
% 172.28/26.58    (35)  all_56_11 = all_52_14
% 172.28/26.58    (36)  op(e2, e1) = all_52_9
% 172.28/26.58    (37)  all_56_0 = all_6_2
% 172.28/26.58    (38)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.28/26.58    (39)  all_58_30 = all_52_14
% 172.28/26.58    (40)   ~ (all_52_3 = all_4_1)
% 172.28/26.58    (41)  all_58_17 = all_52_1
% 172.28/26.58    (42)  all_58_21 = e0
% 172.28/26.58    (43)  all_56_14 = all_10_1
% 172.28/26.58    (44)  all_56_9 = all_52_12
% 172.28/26.58    (45)   ~ (all_52_2 = all_52_6)
% 172.28/26.58    (46)   ~ (all_52_4 = all_4_1)
% 172.28/26.58    (47)   ~ (e3 = e2)
% 172.28/26.58    (48)   ~ (e2 = e1)
% 172.28/26.58    (49)  all_58_26 = e0
% 172.28/26.58    (50)  all_56_8 = e0
% 172.28/26.58    (51)   ~ (all_52_2 = e0)
% 172.28/26.58    (52)   ~ (all_10_1 = all_4_1)
% 172.28/26.58    (53)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 172.28/26.58    (54)   ~ (all_52_13 = all_14_2)
% 172.28/26.58    (55)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.28/26.58    (56)   ~ (all_52_6 = all_4_1)
% 172.28/26.58    (57)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.28/26.58    (58)  all_54_9 = all_52_6
% 172.28/26.58    (59)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.28/26.58    (60)   ~ (all_52_13 = all_52_14)
% 172.28/26.58    (61)  op(e2, e3) = all_52_1
% 172.28/26.58    (62)   ~ (all_48_0 = e3) |  ~ (all_48_1 = e2) |  ~ (all_48_2 = e1)
% 172.28/26.58    (63)  all_58_18 = all_52_2
% 172.28/26.58    (64)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.28/26.58    (65)  all_58_16 = all_6_2
% 172.28/26.58    (66)   ~ (all_52_8 = all_52_9)
% 172.28/26.58    (67)   ~ (all_52_4 = all_6_2)
% 172.28/26.58    (68)  all_56_2 = all_52_1
% 172.28/26.58    (69)   ~ (all_52_8 = all_10_1)
% 172.28/26.58    (70)   ~ (e3 = e0)
% 172.28/26.58    (71)  op(e3, e0) = all_52_12
% 172.28/26.58    (72)  all_58_29 = all_52_13
% 172.28/26.58    (73)   ~ (all_52_1 = all_52_2)
% 172.28/26.58    (74)   ~ (all_52_13 = e0)
% 172.28/26.58    (75)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.28/26.58    (76)   ~ (all_6_2 = e0)
% 172.28/26.58    (77)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 172.28/26.58    (78)   ~ (all_52_6 = all_52_14)
% 172.28/26.58    (79)  all_56_4 = all_52_8
% 172.28/26.58    (80)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.28/26.58    (81)   ~ (all_52_9 = all_10_1)
% 172.28/26.58    (82)  op(e1, all_52_2) = all_58_8
% 172.28/26.58    (83)   ~ (all_52_1 = all_52_13)
% 172.28/26.58    (84)  all_58_20 = all_52_4
% 172.28/26.58    (85)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.28/26.58    (86)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 172.28/26.58    (87)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.28/26.58    (88)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 172.28/26.58    (89)   ~ (all_52_8 = all_6_2)
% 172.28/26.58    (90)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 172.28/26.58    (91)  all_56_6 = all_52_2
% 172.28/26.58    (92)   ~ (all_52_1 = all_52_9)
% 172.28/26.58    (93)  all_58_24 = all_52_8
% 172.28/26.58    (94)   ~ (all_52_12 = all_52_14)
% 172.28/26.58    (95)  all_56_3 = e0
% 172.28/26.58    (96)  all_58_22 = all_52_6
% 172.28/26.58    (97)   ~ (all_52_4 = all_52_12)
% 172.28/26.58    (98)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.28/26.58    (99)  all_54_0 = all_6_2
% 172.28/26.58    (100)  all_58_27 = all_10_1
% 172.28/26.58    (101)   ~ (all_52_1 = e0)
% 172.28/26.58    (102)   ~ (all_52_2 = all_52_3)
% 172.28/26.58    (103)   ~ (all_52_4 = all_52_8)
% 172.28/26.58    (104)   ~ (all_52_14 = all_14_2)
% 172.28/26.58    (105)  all_58_25 = all_52_9
% 172.28/26.58    (106)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 172.28/26.58    (107)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.28/26.58             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.28/26.58    (108)   ~ (all_52_6 = e0)
% 172.28/26.58    (109)   ~ (all_52_2 = all_52_14)
% 172.28/26.58    (110)  all_56_10 = all_52_13
% 172.28/26.58    (111)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.28/26.58    (112)   ~ (e2 = e0)
% 172.28/26.58    (113)   ~ (all_52_1 = all_52_3)
% 172.28/26.58    (114)   ~ (all_52_3 = all_10_1)
% 172.28/26.58    (115)   ~ (all_52_14 = e0)
% 172.28/26.58    (116)  all_58_28 = all_52_12
% 172.28/26.58    (117)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.28/26.58    (118)   ~ (e1 = e0)
% 172.28/26.58    (119)  all_54_4 = all_52_1
% 172.28/26.58    (120)  all_56_7 = all_52_6
% 172.28/26.58    (121)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.28/26.58             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.28/26.58             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.28/26.58             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.28/26.58             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.28/26.58             (all_58_15 = e0))
% 172.28/26.58    (122)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.28/26.58    (123)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 172.28/26.58    (124)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.28/26.58           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.28/26.58           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.28/26.58           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.28/26.58           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.28/26.58           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.28/26.58           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.28/26.58           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.28/26.58           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.28/26.58           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.28/26.58             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.28/26.58             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.28/26.58             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.28/26.58             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.28/26.58             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.28/26.58             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.28/26.58             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.28/26.58             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.28/26.58             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.28/26.58             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.28/26.58             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.28/26.58             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.28/26.58             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.28/26.58             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.28/26.58             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.28/26.58             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.28/26.58           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.28/26.58           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.28/26.58           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.28/26.58             all_58_30 = e0 & e1 = e0)
% 172.28/26.58    (125)  all_54_7 = all_52_13
% 172.28/26.58    (126)  op(e1, e2) = all_52_6
% 172.28/26.58    (127)  all_54_11 = all_52_14
% 172.28/26.58    (128)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.28/26.58    (129)   ~ (all_52_12 = all_52_13)
% 172.28/26.58  
% 172.28/26.58  Begin of proof
% 172.28/26.58  | 
% 172.28/26.58  | BETA: splitting (85) gives:
% 172.28/26.58  | 
% 172.28/26.58  | Case 1:
% 172.28/26.58  | | 
% 172.28/26.58  | |   (130)  all_56_0 = e0
% 172.28/26.58  | | 
% 172.28/26.58  | | REF_CLOSE: (37), (76), (130) are inconsistent by sub-proof #939.
% 172.28/26.58  | | 
% 172.28/26.58  | Case 2:
% 172.28/26.58  | | 
% 172.28/26.58  | |   (131)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.28/26.58  | | 
% 172.28/26.58  | | BETA: splitting (131) gives:
% 172.28/26.58  | | 
% 172.28/26.58  | | Case 1:
% 172.28/26.58  | | | 
% 172.28/26.58  | | |   (132)  all_56_2 = e0
% 172.28/26.58  | | | 
% 172.28/26.58  | | | REF_CLOSE: (68), (101), (132) are inconsistent by sub-proof #335.
% 172.28/26.58  | | | 
% 172.28/26.58  | | Case 2:
% 172.28/26.58  | | | 
% 172.28/26.58  | | |   (133)  all_56_6 = e0 | all_56_12 = e0
% 172.28/26.58  | | | 
% 172.28/26.58  | | | BETA: splitting (133) gives:
% 172.28/26.58  | | | 
% 172.28/26.58  | | | Case 1:
% 172.28/26.58  | | | | 
% 172.28/26.58  | | | |   (134)  all_56_6 = e0
% 172.28/26.58  | | | | 
% 172.28/26.58  | | | | REF_CLOSE: (51), (91), (134) are inconsistent by sub-proof #520.
% 172.28/26.58  | | | | 
% 172.28/26.58  | | | Case 2:
% 172.28/26.58  | | | | 
% 172.28/26.58  | | | |   (135)  all_56_12 = e0
% 172.28/26.58  | | | | 
% 172.28/26.58  | | | | COMBINE_EQS: (5), (135) imply:
% 172.28/26.58  | | | |   (136)  all_52_3 = e0
% 172.28/26.58  | | | | 
% 172.28/26.58  | | | | SIMP: (136) implies:
% 172.28/26.58  | | | |   (137)  all_52_3 = e0
% 172.28/26.58  | | | | 
% 172.28/26.58  | | | | REDUCE: (13), (137) imply:
% 172.28/26.58  | | | |   (138)   ~ (all_14_2 = e0)
% 172.28/26.58  | | | | 
% 172.28/26.58  | | | | SIMP: (138) implies:
% 172.28/26.58  | | | |   (139)   ~ (all_14_2 = e0)
% 172.28/26.58  | | | | 
% 172.28/26.58  | | | | REDUCE: (114), (137) imply:
% 172.28/26.58  | | | |   (140)   ~ (all_10_1 = e0)
% 172.28/26.58  | | | | 
% 172.28/26.58  | | | | SIMP: (140) implies:
% 172.28/26.58  | | | |   (141)   ~ (all_10_1 = e0)
% 172.28/26.58  | | | | 
% 172.28/26.58  | | | | REDUCE: (40), (137) imply:
% 172.28/26.58  | | | |   (142)   ~ (all_4_1 = e0)
% 172.28/26.58  | | | | 
% 172.28/26.58  | | | | SIMP: (142) implies:
% 172.28/26.58  | | | |   (143)   ~ (all_4_1 = e0)
% 172.28/26.58  | | | | 
% 172.28/26.58  | | | | REDUCE: (23), (137) imply:
% 172.28/26.58  | | | |   (144)  op(e0, e0) = all_58_12
% 172.28/26.58  | | | | 
% 172.28/26.58  | | | | BETA: splitting (6) gives:
% 172.28/26.58  | | | | 
% 172.28/26.58  | | | | Case 1:
% 172.28/26.58  | | | | | 
% 172.28/26.58  | | | | |   (145)  all_56_15 = e0
% 172.28/26.58  | | | | | 
% 172.28/26.58  | | | | | COMBINE_EQS: (17), (145) imply:
% 172.28/26.58  | | | | |   (146)  all_14_2 = e0
% 172.28/26.58  | | | | | 
% 172.28/26.58  | | | | | SIMP: (146) implies:
% 172.28/26.58  | | | | |   (147)  all_14_2 = e0
% 172.28/26.58  | | | | | 
% 172.28/26.58  | | | | | REDUCE: (139), (147) imply:
% 172.28/26.58  | | | | |   (148)  $false
% 172.28/26.58  | | | | | 
% 172.28/26.58  | | | | | CLOSE: (148) is inconsistent.
% 172.28/26.58  | | | | | 
% 172.28/26.58  | | | | Case 2:
% 172.28/26.58  | | | | | 
% 172.28/26.58  | | | | |   (149)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 172.28/26.58  | | | | |          (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0)
% 172.28/26.58  | | | | | 
% 172.28/26.58  | | | | | ALPHA: (149) implies:
% 172.28/26.58  | | | | |   (150)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 172.28/26.58  | | | | | 
% 172.28/26.58  | | | | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (10), (11), (12), (14),
% 172.28/26.58  | | | | |            (15), (16), (17), (18), (19), (20), (21), (22), (24), (25),
% 172.28/26.58  | | | | |            (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 172.28/26.58  | | | | |            (36), (37), (38), (39), (41), (42), (43), (44), (45), (46),
% 172.28/26.58  | | | | |            (47), (48), (49), (50), (51), (52), (53), (54), (55), (56),
% 172.28/26.58  | | | | |            (57), (58), (59), (60), (61), (62), (63), (64), (65), (66),
% 172.28/26.58  | | | | |            (67), (68), (69), (70), (71), (72), (73), (74), (75), (77),
% 172.28/26.58  | | | | |            (78), (79), (80), (81), (82), (83), (84), (86), (87), (88),
% 172.28/26.58  | | | | |            (89), (90), (91), (92), (93), (94), (95), (96), (97), (98),
% 172.28/26.58  | | | | |            (99), (100), (101), (103), (104), (105), (106), (107),
% 172.28/26.58  | | | | |            (108), (109), (110), (111), (112), (115), (116), (117),
% 172.28/26.58  | | | | |            (118), (119), (120), (121), (122), (123), (124), (125),
% 172.28/26.58  | | | | |            (126), (127), (128), (129), (135), (141), (143), (144),
% 172.28/26.58  | | | | |            (150) are inconsistent by sub-proof #260.
% 172.28/26.58  | | | | | 
% 172.28/26.58  | | | | End of split
% 172.28/26.58  | | | | 
% 172.28/26.58  | | | End of split
% 172.28/26.58  | | | 
% 172.28/26.58  | | End of split
% 172.28/26.58  | | 
% 172.28/26.58  | End of split
% 172.28/26.58  | 
% 172.28/26.58  End of proof
% 172.28/26.58  
% 172.28/26.58  Sub-proof #260 shows that the following formulas are inconsistent:
% 172.28/26.58  ----------------------------------------------------------------
% 172.28/26.58    (1)   ~ (all_52_12 = all_14_2)
% 172.28/26.58    (2)  op(e0, e0) = all_14_2
% 172.28/26.58    (3)  all_54_8 = all_52_2
% 172.28/26.58    (4)  all_56_1 = all_52_4
% 172.28/26.58    (5)  op(e1, e3) = all_52_2
% 172.28/26.58    (6)  op(e3, all_52_12) = all_58_3
% 172.28/26.58    (7)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 172.28/26.58    (8)   ~ (all_52_8 = all_52_12)
% 172.28/26.58    (9)   ~ (e3 = e1)
% 172.28/26.58    (10)   ~ (all_52_2 = all_6_2)
% 172.28/26.58    (11)  op(all_6_2, e3) = all_6_1
% 172.28/26.58    (12)   ~ (all_52_12 = all_6_2)
% 172.28/26.58    (13)  all_58_23 = all_4_1
% 172.28/26.58    (14)  all_56_15 = all_14_2
% 172.28/26.58    (15)  all_54_1 = all_52_4
% 172.28/26.58    (16)  all_56_13 = all_4_1
% 172.28/26.58    (17)  all_54_6 = all_52_9
% 172.28/26.58    (18)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 172.28/26.58    (19)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 172.28/26.58    (20)  all_56_12 = e0
% 172.28/26.58    (21)  all_48_2 = all_14_2
% 172.28/26.58    (22)  op(e2, all_52_1) = all_58_4
% 172.28/26.58    (23)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.28/26.58    (24)  op(e0, e0) = all_58_12
% 172.28/26.58    (25)   ~ (all_52_9 = e0)
% 172.28/26.58    (26)   ~ (all_52_4 = all_52_6)
% 172.28/26.58    (27)  all_58_31 = all_14_2
% 172.28/26.58    (28)   ~ (all_52_9 = all_52_13)
% 172.28/26.58    (29)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.28/26.58    (30)  op(all_6_1, all_6_2) = all_6_0
% 172.28/26.58    (31)   ~ (all_52_1 = all_6_2)
% 172.28/26.58    (32)  all_54_2 = all_52_8
% 172.28/26.58    (33)  all_56_11 = all_52_14
% 172.28/26.58    (34)  op(e2, e1) = all_52_9
% 172.28/26.58    (35)   ~ (all_4_1 = e0)
% 172.28/26.58    (36)  all_56_0 = all_6_2
% 172.28/26.58    (37)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.28/26.58    (38)  all_58_30 = all_52_14
% 172.28/26.58    (39)  all_58_17 = all_52_1
% 172.28/26.58    (40)  all_58_21 = e0
% 172.28/26.58    (41)  all_56_14 = all_10_1
% 172.28/26.58    (42)  all_56_9 = all_52_12
% 172.28/26.58    (43)   ~ (all_52_2 = all_52_6)
% 172.28/26.58    (44)   ~ (all_52_4 = all_4_1)
% 172.28/26.58    (45)   ~ (e3 = e2)
% 172.28/26.58    (46)   ~ (e2 = e1)
% 172.28/26.58    (47)  all_58_26 = e0
% 172.28/26.58    (48)  all_56_8 = e0
% 172.28/26.58    (49)   ~ (all_52_2 = e0)
% 172.28/26.58    (50)   ~ (all_10_1 = all_4_1)
% 172.28/26.58    (51)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 172.28/26.58    (52)   ~ (all_52_13 = all_14_2)
% 172.28/26.58    (53)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.28/26.58    (54)   ~ (all_52_6 = all_4_1)
% 172.28/26.58    (55)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.28/26.58    (56)  all_54_9 = all_52_6
% 172.28/26.58    (57)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.28/26.58    (58)   ~ (all_52_13 = all_52_14)
% 172.28/26.58    (59)  op(e2, e3) = all_52_1
% 172.28/26.58    (60)   ~ (all_48_0 = e3) |  ~ (all_48_1 = e2) |  ~ (all_48_2 = e1)
% 172.28/26.58    (61)  all_58_18 = all_52_2
% 172.28/26.58    (62)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.28/26.58    (63)  all_58_16 = all_6_2
% 172.28/26.58    (64)   ~ (all_52_8 = all_52_9)
% 172.28/26.58    (65)   ~ (all_52_4 = all_6_2)
% 172.28/26.58    (66)  all_56_2 = all_52_1
% 172.28/26.58    (67)   ~ (all_52_8 = all_10_1)
% 172.28/26.58    (68)   ~ (e3 = e0)
% 172.28/26.58    (69)  op(e3, e0) = all_52_12
% 172.28/26.58    (70)  all_58_29 = all_52_13
% 172.28/26.58    (71)   ~ (all_52_1 = all_52_2)
% 172.28/26.58    (72)   ~ (all_52_13 = e0)
% 172.28/26.58    (73)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.28/26.58    (74)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 172.28/26.58    (75)   ~ (all_52_6 = all_52_14)
% 172.28/26.58    (76)  all_56_4 = all_52_8
% 172.28/26.58    (77)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.28/26.58    (78)   ~ (all_52_9 = all_10_1)
% 172.28/26.58    (79)  op(e1, all_52_2) = all_58_8
% 172.28/26.58    (80)   ~ (all_52_1 = all_52_13)
% 172.28/26.58    (81)  all_58_20 = all_52_4
% 172.28/26.58    (82)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 172.28/26.58    (83)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.28/26.58    (84)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 172.28/26.58    (85)   ~ (all_52_8 = all_6_2)
% 172.28/26.58    (86)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 172.28/26.58    (87)  all_56_6 = all_52_2
% 172.28/26.58    (88)   ~ (all_52_1 = all_52_9)
% 172.28/26.58    (89)  all_58_24 = all_52_8
% 172.28/26.58    (90)   ~ (all_52_12 = all_52_14)
% 172.28/26.58    (91)  all_56_3 = e0
% 172.28/26.58    (92)  all_58_22 = all_52_6
% 172.28/26.58    (93)   ~ (all_52_4 = all_52_12)
% 172.28/26.58    (94)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.28/26.58    (95)  all_54_0 = all_6_2
% 172.28/26.58    (96)  all_58_27 = all_10_1
% 172.28/26.58    (97)   ~ (all_52_1 = e0)
% 172.28/26.58    (98)   ~ (all_52_4 = all_52_8)
% 172.28/26.58    (99)   ~ (all_52_14 = all_14_2)
% 172.28/26.58    (100)  all_58_25 = all_52_9
% 172.28/26.58    (101)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 172.28/26.58    (102)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.28/26.58             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.28/26.58    (103)   ~ (all_52_6 = e0)
% 172.28/26.58    (104)   ~ (all_52_2 = all_52_14)
% 172.28/26.58    (105)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 172.28/26.58    (106)  all_56_10 = all_52_13
% 172.28/26.58    (107)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.28/26.58    (108)   ~ (e2 = e0)
% 172.28/26.58    (109)   ~ (all_52_14 = e0)
% 172.28/26.58    (110)  all_58_28 = all_52_12
% 172.28/26.58    (111)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.28/26.58    (112)   ~ (e1 = e0)
% 172.28/26.58    (113)  all_54_4 = all_52_1
% 172.28/26.58    (114)  all_56_7 = all_52_6
% 172.28/26.58    (115)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.28/26.58             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.28/26.58             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.28/26.58             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.28/26.58             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.28/26.58             (all_58_15 = e0))
% 172.28/26.58    (116)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.28/26.58    (117)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 172.28/26.58    (118)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.28/26.58           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.28/26.58           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.28/26.58           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.28/26.58           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.28/26.58           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.28/26.58           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.28/26.58           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.28/26.58           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.28/26.58           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.28/26.58             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.28/26.58             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.28/26.58             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.28/26.58             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.28/26.58             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.28/26.58             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.28/26.58             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.28/26.58             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.28/26.58             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.28/26.58             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.28/26.58             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.28/26.58             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.28/26.58             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.28/26.58             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.28/26.58             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.28/26.58             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.28/26.58           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.28/26.58           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.28/26.58           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.28/26.58             all_58_30 = e0 & e1 = e0)
% 172.28/26.58    (119)  all_54_7 = all_52_13
% 172.28/26.58    (120)  op(e1, e2) = all_52_6
% 172.28/26.58    (121)   ~ (all_10_1 = e0)
% 172.28/26.58    (122)  all_54_11 = all_52_14
% 172.28/26.58    (123)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.28/26.58    (124)   ~ (all_52_12 = all_52_13)
% 172.28/26.58  
% 172.28/26.58  Begin of proof
% 172.28/26.58  | 
% 172.28/26.58  | BETA: splitting (105) gives:
% 172.28/26.58  | 
% 172.28/26.58  | Case 1:
% 172.28/26.58  | | 
% 172.28/26.58  | |   (125)  all_56_9 = e0
% 172.28/26.58  | | 
% 172.28/26.58  | | COMBINE_EQS: (42), (125) imply:
% 172.28/26.58  | |   (126)  all_52_12 = e0
% 172.28/26.58  | | 
% 172.28/26.58  | | SIMP: (126) implies:
% 172.28/26.58  | |   (127)  all_52_12 = e0
% 172.28/26.58  | | 
% 172.28/26.58  | | COMBINE_EQS: (110), (127) imply:
% 172.28/26.58  | |   (128)  all_58_28 = e0
% 172.28/26.58  | | 
% 172.28/26.58  | | REDUCE: (93), (127) imply:
% 172.28/26.58  | |   (129)   ~ (all_52_4 = e0)
% 172.28/26.58  | | 
% 172.28/26.58  | | REDUCE: (8), (127) imply:
% 172.28/26.58  | |   (130)   ~ (all_52_8 = e0)
% 172.28/26.58  | | 
% 172.28/26.58  | | REDUCE: (124), (127) imply:
% 172.28/26.58  | |   (131)   ~ (all_52_13 = e0)
% 172.28/26.58  | | 
% 172.28/26.58  | | REDUCE: (90), (127) imply:
% 172.28/26.58  | |   (132)   ~ (all_52_14 = e0)
% 172.28/26.58  | | 
% 172.28/26.58  | | REDUCE: (1), (127) imply:
% 172.28/26.58  | |   (133)   ~ (all_14_2 = e0)
% 172.28/26.58  | | 
% 172.28/26.58  | | SIMP: (133) implies:
% 172.28/26.58  | |   (134)   ~ (all_14_2 = e0)
% 172.28/26.58  | | 
% 172.28/26.58  | | REDUCE: (12), (127) imply:
% 172.28/26.58  | |   (135)   ~ (all_6_2 = e0)
% 172.28/26.58  | | 
% 172.28/26.58  | | SIMP: (135) implies:
% 172.28/26.58  | |   (136)   ~ (all_6_2 = e0)
% 172.28/26.58  | | 
% 172.28/26.58  | | REDUCE: (6), (127) imply:
% 172.28/26.58  | |   (137)  op(e3, e0) = all_58_3
% 172.28/26.58  | | 
% 172.28/26.58  | | REDUCE: (69), (127) imply:
% 172.28/26.58  | |   (138)  op(e3, e0) = e0
% 172.28/26.58  | | 
% 172.28/26.58  | | GROUND_INST: instantiating (102) with all_14_2, all_58_12, e0, e0,
% 172.28/26.58  | |              simplifying with (2), (24) gives:
% 172.28/26.58  | |   (139)  all_58_12 = all_14_2
% 172.28/26.58  | | 
% 172.28/26.58  | | GROUND_INST: instantiating (102) with e0, all_58_3, e0, e3, simplifying with
% 172.28/26.58  | |              (137), (138) gives:
% 172.28/26.58  | |   (140)  all_58_3 = e0
% 172.28/26.58  | | 
% 172.28/26.58  | | BETA: splitting (60) gives:
% 172.28/26.58  | | 
% 172.28/26.58  | | Case 1:
% 172.28/26.58  | | | 
% 172.28/26.58  | | |   (141)   ~ (all_48_2 = e1)
% 172.28/26.58  | | | 
% 172.28/26.58  | | | REDUCE: (21), (141) imply:
% 172.28/26.58  | | |   (142)   ~ (all_14_2 = e1)
% 172.28/26.58  | | | 
% 172.28/26.58  | | | BETA: splitting (116) gives:
% 172.28/26.58  | | | 
% 172.28/26.58  | | | Case 1:
% 172.28/26.58  | | | | 
% 172.28/26.58  | | | |   (143)  all_56_12 = e1
% 172.28/26.58  | | | | 
% 172.28/26.58  | | | | COMBINE_EQS: (20), (143) imply:
% 172.28/26.58  | | | |   (144)  e1 = e0
% 172.28/26.58  | | | | 
% 172.28/26.58  | | | | REDUCE: (112), (144) imply:
% 172.28/26.58  | | | |   (145)  $false
% 172.28/26.58  | | | | 
% 172.28/26.58  | | | | CLOSE: (145) is inconsistent.
% 172.28/26.58  | | | | 
% 172.28/26.58  | | | Case 2:
% 172.28/26.58  | | | | 
% 172.28/26.58  | | | |   (146)   ~ (all_56_12 = e1)
% 172.28/26.58  | | | |   (147)  all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.28/26.58  | | | | 
% 172.28/26.58  | | | | REDUCE: (20), (146) imply:
% 172.28/26.58  | | | |   (148)   ~ (e1 = e0)
% 172.28/26.58  | | | | 
% 172.28/26.58  | | | | BETA: splitting (82) gives:
% 172.28/26.58  | | | | 
% 172.28/26.58  | | | | Case 1:
% 172.28/26.58  | | | | | 
% 172.28/26.58  | | | | |   (149)  all_54_2 = e0
% 172.28/26.58  | | | | | 
% 172.28/26.58  | | | | | COMBINE_EQS: (32), (149) imply:
% 172.28/26.58  | | | | |   (150)  all_52_8 = e0
% 172.28/26.58  | | | | | 
% 172.28/26.58  | | | | | REDUCE: (130), (150) imply:
% 172.28/26.58  | | | | |   (151)  $false
% 172.28/26.58  | | | | | 
% 172.28/26.58  | | | | | CLOSE: (151) is inconsistent.
% 172.28/26.58  | | | | | 
% 172.28/26.58  | | | | Case 2:
% 172.28/26.58  | | | | | 
% 172.28/26.58  | | | | |   (152)   ~ (all_54_2 = e0)
% 172.28/26.58  | | | | |   (153)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1
% 172.28/26.58  | | | | | 
% 172.28/26.58  | | | | | BETA: splitting (51) gives:
% 172.28/26.58  | | | | | 
% 172.28/26.58  | | | | | Case 1:
% 172.28/26.58  | | | | | | 
% 172.28/26.58  | | | | | |   (154)  all_54_7 = e0
% 172.28/26.58  | | | | | | 
% 172.28/26.58  | | | | | | COMBINE_EQS: (119), (154) imply:
% 172.28/26.58  | | | | | |   (155)  all_52_13 = e0
% 172.28/26.58  | | | | | | 
% 172.28/26.58  | | | | | | REDUCE: (72), (155) imply:
% 172.28/26.58  | | | | | |   (156)  $false
% 172.28/26.58  | | | | | | 
% 172.28/26.59  | | | | | | CLOSE: (156) is inconsistent.
% 172.28/26.59  | | | | | | 
% 172.28/26.59  | | | | | Case 2:
% 172.28/26.59  | | | | | | 
% 172.28/26.59  | | | | | |   (157)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 172.28/26.59  | | | | | | 
% 172.28/26.59  | | | | | | BETA: splitting (55) gives:
% 172.28/26.59  | | | | | | 
% 172.28/26.59  | | | | | | Case 1:
% 172.28/26.59  | | | | | | | 
% 172.28/26.59  | | | | | | |   (158)  all_54_1 = e0
% 172.28/26.59  | | | | | | | 
% 172.28/26.59  | | | | | | | REF_CLOSE: (15), (129), (158) are inconsistent by sub-proof #866.
% 172.28/26.59  | | | | | | | 
% 172.28/26.59  | | | | | | Case 2:
% 172.28/26.59  | | | | | | | 
% 172.28/26.59  | | | | | | |   (159)   ~ (all_54_1 = e0)
% 172.28/26.59  | | | | | | |   (160)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 172.28/26.59  | | | | | | | 
% 172.28/26.59  | | | | | | | BETA: splitting (74) gives:
% 172.28/26.59  | | | | | | | 
% 172.28/26.59  | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | 
% 172.28/26.59  | | | | | | | |   (161)  all_54_8 = e0
% 172.28/26.59  | | | | | | | | 
% 172.28/26.59  | | | | | | | | REF_CLOSE: (3), (49), (161) are inconsistent by sub-proof #839.
% 172.28/26.59  | | | | | | | | 
% 172.28/26.59  | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | 
% 172.28/26.59  | | | | | | | |   (162)   ~ (all_54_8 = e0)
% 172.28/26.59  | | | | | | | |   (163)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 172.28/26.59  | | | | | | | | 
% 172.28/26.59  | | | | | | | | BETA: splitting (7) gives:
% 172.28/26.59  | | | | | | | | 
% 172.28/26.59  | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | 
% 172.28/26.59  | | | | | | | | |   (164)  all_54_0 = e0
% 172.28/26.59  | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | REF_CLOSE: (95), (136), (164) are inconsistent by sub-proof
% 172.28/26.59  | | | | | | | | |            #984.
% 172.28/26.59  | | | | | | | | | 
% 172.28/26.59  | | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | | 
% 172.28/26.59  | | | | | | | | |   (165)   ~ (all_54_0 = e0)
% 172.28/26.59  | | | | | | | | |   (166)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.28/26.59  | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | BETA: splitting (86) gives:
% 172.28/26.59  | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | |   (167)  all_54_4 = e0
% 172.28/26.59  | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | COMBINE_EQS: (113), (167) imply:
% 172.28/26.59  | | | | | | | | | |   (168)  all_52_1 = e0
% 172.28/26.59  | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | REDUCE: (97), (168) imply:
% 172.28/26.59  | | | | | | | | | |   (169)  $false
% 172.28/26.59  | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | CLOSE: (169) is inconsistent.
% 172.28/26.59  | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | |   (170)   ~ (all_54_4 = e0)
% 172.28/26.59  | | | | | | | | | |   (171)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 172.28/26.59  | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | BETA: splitting (101) gives:
% 172.28/26.59  | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | |   (172)  all_54_9 = e0
% 172.28/26.59  | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | COMBINE_EQS: (56), (172) imply:
% 172.28/26.59  | | | | | | | | | | |   (173)  all_52_6 = e0
% 172.28/26.59  | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | REDUCE: (103), (173) imply:
% 172.28/26.59  | | | | | | | | | | |   (174)  $false
% 172.28/26.59  | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | CLOSE: (174) is inconsistent.
% 172.28/26.59  | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | |   (175)   ~ (all_54_9 = e0)
% 172.28/26.59  | | | | | | | | | | |   (176)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 172.28/26.59  | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | BETA: splitting (57) gives:
% 172.28/26.59  | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | |   (177)  all_56_9 = e1
% 172.28/26.59  | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | COMBINE_EQS: (125), (177) imply:
% 172.28/26.59  | | | | | | | | | | | |   (178)  e1 = e0
% 172.28/26.59  | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | REDUCE: (112), (178) imply:
% 172.28/26.59  | | | | | | | | | | | |   (179)  $false
% 172.28/26.59  | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | CLOSE: (179) is inconsistent.
% 172.28/26.59  | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | |   (180)   ~ (all_56_9 = e1)
% 172.28/26.59  | | | | | | | | | | | |   (181)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.28/26.59  | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | BETA: splitting (23) gives:
% 172.28/26.59  | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | |   (182)  all_58_31 = e0
% 172.28/26.59  | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | COMBINE_EQS: (27), (182) imply:
% 172.28/26.59  | | | | | | | | | | | | |   (183)  all_14_2 = e0
% 172.28/26.59  | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | REDUCE: (134), (183) imply:
% 172.28/26.59  | | | | | | | | | | | | |   (184)  $false
% 172.28/26.59  | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | CLOSE: (184) is inconsistent.
% 172.28/26.59  | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | |   (185)   ~ (all_58_31 = e0)
% 172.28/26.59  | | | | | | | | | | | | |   (186)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.28/26.59  | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | BETA: splitting (37) gives:
% 172.28/26.59  | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | |   (187)  all_58_27 = e0
% 172.28/26.59  | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | COMBINE_EQS: (96), (187) imply:
% 172.28/26.59  | | | | | | | | | | | | | |   (188)  all_10_1 = e0
% 172.28/26.59  | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | REDUCE: (121), (188) imply:
% 172.28/26.59  | | | | | | | | | | | | | |   (189)  $false
% 172.28/26.59  | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | CLOSE: (189) is inconsistent.
% 172.28/26.59  | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | |   (190)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.28/26.59  | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | BETA: splitting (83) gives:
% 172.28/26.59  | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | |   (191)  all_58_23 = e0
% 172.28/26.59  | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | COMBINE_EQS: (13), (191) imply:
% 172.28/26.59  | | | | | | | | | | | | | | |   (192)  all_4_1 = e0
% 172.28/26.59  | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | REDUCE: (35), (192) imply:
% 172.28/26.59  | | | | | | | | | | | | | | |   (193)  $false
% 172.28/26.59  | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | CLOSE: (193) is inconsistent.
% 172.28/26.59  | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | |   (194)   ~ (all_58_23 = e0)
% 172.28/26.59  | | | | | | | | | | | | | | |   (195)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | |   (196)  all_56_2 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | COMBINE_EQS: (66), (196) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | |   (197)  all_52_1 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | COMBINE_EQS: (39), (197) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | |   (198)  all_58_17 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | REDUCE: (80), (197) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | |   (199)   ~ (all_52_13 = e1)
% 172.28/26.59  | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | SIMP: (199) implies:
% 172.28/26.59  | | | | | | | | | | | | | | | |   (200)   ~ (all_52_13 = e1)
% 172.28/26.59  | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | REDUCE: (31), (197) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | |   (201)   ~ (all_6_2 = e1)
% 172.28/26.59  | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | SIMP: (201) implies:
% 172.28/26.59  | | | | | | | | | | | | | | | |   (202)   ~ (all_6_2 = e1)
% 172.28/26.59  | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | |   (203)  all_56_10 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | REF_CLOSE: (106), (200), (203) are inconsistent by sub-proof
% 172.28/26.59  | | | | | | | | | | | | | | | | |            #682.
% 172.28/26.59  | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | |   (204)  all_56_11 = e1 | all_56_15 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | |   (205)  all_56_11 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (33), (205) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | |   (206)  all_52_14 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | SIMP: (206) implies:
% 172.28/26.59  | | | | | | | | | | | | | | | | | |   (207)  all_52_14 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (38), (207) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | |   (208)  all_58_30 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | REDUCE: (104), (207) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | |   (209)   ~ (all_52_2 = e1)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | REDUCE: (75), (207) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | |   (210)   ~ (all_52_6 = e1)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | |   (211)  all_58_22 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (92), (211) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | |   (212)  all_52_6 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | REDUCE: (210), (212) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | |   (213)  $false
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | CLOSE: (213) is inconsistent.
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | |   (214)   ~ (all_58_22 = e1)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | |   (215)  all_58_20 = e3 | all_58_21 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | |   (216)  all_58_21 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (108), (216) are inconsistent by sub-proof
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | |            #721.
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | |   (217)  all_58_20 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (81), (217) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | |   (218)  all_52_4 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4), (218) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | |   (219)  all_56_1 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | REDUCE: (26), (218) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | |   (220)   ~ (all_52_6 = e3)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | SIMP: (220) implies:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | |   (221)   ~ (all_52_6 = e3)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | REDUCE: (98), (218) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | |   (222)   ~ (all_52_8 = e3)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | SIMP: (222) implies:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | |   (223)   ~ (all_52_8 = e3)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (218) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | |   (224)   ~ (all_4_1 = e3)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | SIMP: (224) implies:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | |   (225)   ~ (all_4_1 = e3)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | BETA: splitting (29) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | |   (226)  all_56_6 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (87), (226) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | |   (227)  all_52_2 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (61), (227) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | |   (228)  all_58_18 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (227) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | |   (229)   ~ (all_6_2 = e3)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | SIMP: (229) implies:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | |   (230)   ~ (all_6_2 = e3)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | |   (231)  all_54_0 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (95), (202), (231) are inconsistent by sub-proof
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | |            #951.
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | |   (232)  all_54_0 = e3 | all_54_0 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | |   (233)  all_54_0 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (95), (233) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | |   (234)  all_6_2 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (234) implies:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | |   (235)  all_6_2 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (36), (235) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | |   (236)  all_56_0 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (63), (235) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | |   (237)  all_58_16 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (235) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | |   (238)   ~ (all_52_8 = e2)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (235) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | |   (239)   ~ (e3 = e2)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | |   (240)  all_56_6 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (226), (240) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | |   (241)  e3 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (241) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | |   (242)  $false
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (242) is inconsistent.
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | |   (243)  all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | |   (244)  all_56_7 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (114), (244) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | |   (245)  all_52_6 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (92), (245) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | |   (246)  all_58_22 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (245) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | |   (247)   ~ (all_4_1 = e2)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (247) implies:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | |   (248)   ~ (all_4_1 = e2)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  all_56_0 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (236), (249) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  e2 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (250) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | |   (251)  $false
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (251) is inconsistent.
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  all_56_1 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (219), (253) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  e3 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (254) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  $false
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (255) is inconsistent.
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  all_56_4 = e1 | all_56_9 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  all_54_2 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (32), (257) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  all_52_8 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (258) implies:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  all_52_8 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (89), (259) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  all_58_24 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (223), (259) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)   ~ (e3 = e1)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (238), (259) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)   ~ (e2 = e1)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  all_56_13 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16), (263) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  all_4_1 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (264) implies:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  all_4_1 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13), (265) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  all_58_23 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (265) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)   ~ (all_10_1 = e1)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (118) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  all_58_31 = e0
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (27), (268) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  all_14_2 = e0
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (269) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  $false
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (270) is inconsistent.
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)  all_58_26 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (112), (272) are inconsistent by sub-proof
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #312.
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)   ~ (all_58_26 = e1)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_18 = e1 & all_58_20 = e3 & all_58_24 =
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_20 = e3 & all_58_28 = e0) | (all_58_17 =
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_17 = e3 & all_58_20 = e3 &
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_23 = e2 & all_58_29 = e2) | (all_58_17 =
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3) | (all_58_17 = e2 & all_58_19 = e3 &
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_20 = e2 & all_58_28 = e3) | (all_58_17 =
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_23 = e0 & all_58_29 = e0) | (all_58_17 =
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_19 = e0 & all_58_24 = e3 & all_58_28 =
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_24 = e3 & all_58_25 = e1) | (all_58_18 =
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_24 = e1 & all_58_28 = e3) | (all_58_18 =
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_18 =
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_28 = e3 & all_58_29 =
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 =
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 =
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_25 = e2 & all_58_29 =
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_22 = e2 & all_58_25 = e2 &
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e1 & all_58_30 = e1) | (all_58_22 =
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_22 = e1 & all_58_25 = e1 &
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_22 =
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_27 = e0 & all_58_29 = e2 & all_58_30 =
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_23 = e0 & all_58_27 = e1 &
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_29 = e0 & all_58_30 = e1) | (all_58_23 =
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0 & e1 = e0)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)  all_58_21 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (108), (275) are inconsistent by sub-proof
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #721.
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)  all_58_16 = e3 | (all_58_17 = e3 & all_58_18 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_20 = e3 & all_58_24 = e1) | (all_58_17
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0) | (all_58_17 = e3 & all_58_20 =
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_18 = e1 & all_58_24
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 =
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e3 & all_58_29 = e0) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_19 = e0 & all_58_23
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_19 = e0 & all_58_28
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e3 = e0) | (all_58_22 = e2 & all_58_23 =
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_25 = e2 & all_58_29 = e0) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (276) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)  all_58_16 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (237), (277) are inconsistent by sub-proof
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #964.
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (279) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (282) implies:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  all_58_18 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (228), (283) are inconsistent by sub-proof
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #589.
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_17 = e3 & all_58_20
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_22 = e2 & all_58_25 = e2)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (284) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (285) implies:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  all_58_17 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (198), (286) are inconsistent by sub-proof
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #267.
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 &
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (287) implies:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  all_58_17 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (198), (288) are inconsistent by sub-proof
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #267.
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (266), (291) are inconsistent by sub-proof
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #496.
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (292) implies:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  all_58_24 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  all_58_20 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (217), (294) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  e3 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (295) implies:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  e3 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (293) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  e3 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (296), (297) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  e2 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (298) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  $false
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (299) is inconsistent.
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 &
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (301) implies:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  all_58_28 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  all_58_20 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  all_58_17 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (198), (304) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  e2 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (305) implies:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)  e2 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (217), (303) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  e3 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (307) implies:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  e3 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (128), (302) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  e3 = e0
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (308), (309) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  e2 = e0
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (306), (310) are inconsistent by sub-proof
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #292.
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (311) implies:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  all_58_22 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (246), (312) are inconsistent by sub-proof
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #490.
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (314) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (315) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (316) implies:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  all_58_23 = e0
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (266), (317) are inconsistent by sub-proof
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #266.
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  all_58_17 = e2 & all_58_20 = e2 & e3 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (318) implies:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  all_58_17 = e2
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (198), (319) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  e2 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (320) implies:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  e2 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (321) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  $false
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (322) is inconsistent.
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (323) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (324) implies:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  all_58_24 = e3
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (325) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  e3 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (326) imply:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  $false
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (327) is inconsistent.
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 &
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (328) implies:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  all_58_22 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (246), (329) are inconsistent by sub-proof
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #490.
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (330) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3)
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (332) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  all_58_24 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (333) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  e3 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (334) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  $false
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (335) is inconsistent.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (336) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  all_58_28 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  all_58_18 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (228), (338) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  e3 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (128), (337), (339) are inconsistent by
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #270.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (340) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 &
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (341) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  all_58_18 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (228), (342) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  e3 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (343) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  $false
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (344) is inconsistent.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (345) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (346)  all_58_30 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (208), (346) are inconsistent by sub-proof
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #426.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (347) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (348) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (349) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  all_58_18 = e1 & all_58_24 = e1 & e3 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (350) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  all_58_18 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (228), (351) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (352)  e3 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (352) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (353)  $false
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (353) is inconsistent.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (354)  (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (354) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (355)  all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (355) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (356)  all_58_23 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (266), (356) are inconsistent by sub-proof
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #266.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (357)  all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (357) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (358)  all_58_30 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (208), (358) are inconsistent by sub-proof
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #426.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (359)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (361)  all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (361) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (362)  all_58_23 = e2
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (362) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  e2 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (363) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  $false
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (364) is inconsistent.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (365)  all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (365) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (366)  all_58_27 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (96), (366) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (367)  all_10_1 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (267), (367) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (368)  $false
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (368) is inconsistent.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (369)  (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (370)  all_58_19 = e0 & all_58_28 = e0 & e3 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (370) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (371)  e3 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (371) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (372)  $false
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (372) is inconsistent.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (373)  all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (373) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (374)  all_58_23 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (266), (374) are inconsistent by sub-proof
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #266.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (375)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (375) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (376)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (377)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (377) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (378)  all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (378) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (379)  all_58_27 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (96), (379) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (380)  all_10_1 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (267), (380) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (381)  $false
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (381) is inconsistent.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (382)  all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (266), (382) are inconsistent by sub-proof
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #491.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (383)  (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (384)  all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (384) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (385)  all_58_30 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (208), (385) are inconsistent by sub-proof
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #426.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (386)  all_58_22 = e1 & all_58_25 = e1 & e2 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (386) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (387)  all_58_22 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (387) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (388)  e2 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (388) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (389)  $false
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (389) is inconsistent.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (390)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (390) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (391)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (391) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (392)  all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (392) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (393)  all_58_30 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (208), (393) are inconsistent by sub-proof
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #426.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (394)  all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (394) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (395)  all_58_23 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (395) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (396)  e1 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (396) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (397)  $false
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (397) is inconsistent.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (398)  (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (398) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (399)  all_58_23 = e0 & all_58_29 = e0 & e2 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (399) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (400)  all_58_23 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (400) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (401)  e1 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (401) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (402)  $false
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (402) is inconsistent.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (403)  all_58_27 = e0 & all_58_30 = e0 & e1 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (403) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (404)  all_58_30 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (208), (404) are inconsistent by sub-proof
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #426.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (405)   ~ (all_56_13 = e1)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (405) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (406)   ~ (all_4_1 = e1)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16), (46), (91), (111), (112), (219), (244),
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (406) are inconsistent by sub-proof #569.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (407)   ~ (all_54_2 = e1)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (32), (407) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (408)   ~ (all_52_8 = e1)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (76), (112), (125), (256), (408) are inconsistent
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #753.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | |   (409)   ~ (all_56_7 = e2)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (409) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | |   (410)   ~ (all_52_6 = e2)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (176), (210), (221), (410) are inconsistent
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #861.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | |   (411)  all_54_0 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (95), (230), (411) are inconsistent by sub-proof
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | |            #945.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | |   (412)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (412) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | |   (413)  all_56_7 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (114), (413) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | |   (414)  all_52_6 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (221), (414) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | |   (415)  $false
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (415) is inconsistent.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | |   (416)  all_56_8 = e3 | all_56_11 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (48), (68), (205), (416) are inconsistent by
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #780.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | |   (417)  all_56_15 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (142), (417) are inconsistent by sub-proof
% 172.28/26.60  | | | | | | | | | | | | | | | | | |            #876.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | |   (418)   ~ (all_56_2 = e1)
% 172.28/26.60  | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | REDUCE: (66), (418) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | |   (419)   ~ (all_52_1 = e1)
% 172.28/26.60  | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | BETA: splitting (53) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | |   (420)  all_56_0 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | COMBINE_EQS: (36), (420) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | |   (421)  all_6_2 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | REDUCE: (10), (421) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | |   (422)   ~ (all_52_2 = e1)
% 172.28/26.60  | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | REDUCE: (65), (421) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | |   (423)   ~ (all_52_4 = e1)
% 172.28/26.60  | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | REDUCE: (85), (421) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | |   (424)   ~ (all_52_8 = e1)
% 172.28/26.60  | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | REDUCE: (30), (421) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | |   (425)  op(all_6_1, e1) = all_6_0
% 172.28/26.60  | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | REDUCE: (11), (421) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | |   (426)  op(e1, e3) = all_6_1
% 172.28/26.60  | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (102) with all_52_2, all_6_1, e3,
% 172.28/26.60  | | | | | | | | | | | | | | | | |              e1, simplifying with (5), (426) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | |   (427)  all_52_2 = all_6_1
% 172.28/26.60  | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | COMBINE_EQS: (3), (427) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | |   (428)  all_54_8 = all_6_1
% 172.28/26.60  | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | COMBINE_EQS: (87), (427) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | |   (429)  all_56_6 = all_6_1
% 172.28/26.60  | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | REDUCE: (71), (427) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | |   (430)   ~ (all_52_1 = all_6_1)
% 172.28/26.60  | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | REDUCE: (43), (427) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | |   (431)   ~ (all_52_6 = all_6_1)
% 172.28/26.60  | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | SIMP: (431) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | |   (432)   ~ (all_52_6 = all_6_1)
% 172.28/26.60  | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | REDUCE: (422), (427) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | |   (433)   ~ (all_6_1 = e1)
% 172.28/26.60  | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | REDUCE: (49), (427) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | |   (434)   ~ (all_6_1 = e0)
% 172.28/26.60  | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | REDUCE: (79), (427) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | |   (435)  op(e1, all_6_1) = all_58_8
% 172.28/26.60  | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | BETA: splitting (62) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | |   (436)  all_56_0 = e2
% 172.28/26.60  | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (420), (436) are inconsistent by sub-proof
% 172.28/26.60  | | | | | | | | | | | | | | | | | |            #785.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | |   (437)  all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.28/26.60  | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | BETA: splitting (111) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | |   (438)  all_56_1 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4), (438) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | |   (439)  all_52_4 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | REDUCE: (423), (439) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | |   (440)  $false
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | CLOSE: (440) is inconsistent.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | |   (441)   ~ (all_56_1 = e1)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | |   (442)  all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | BETA: splitting (29) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | |   (443)  all_56_6 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (443) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | |   (444)  all_6_1 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | SIMP: (444) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | |   (445)  all_6_1 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | REDUCE: (432), (445) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | |   (446)   ~ (all_52_6 = e3)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | BETA: splitting (437) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | |   (447)  all_56_2 = e2
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (66), (447) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | |   (448)  all_52_1 = e2
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | REDUCE: (88), (448) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | |   (449)   ~ (all_52_9 = e2)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | SIMP: (449) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | |   (450)   ~ (all_52_9 = e2)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (448) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | |   (451)   ~ (all_52_13 = e2)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | SIMP: (451) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | |   (452)   ~ (all_52_13 = e2)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | |   (453)  all_58_30 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (38), (453) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | |   (454)  all_52_14 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (454) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | |   (455)   ~ (all_52_6 = e1)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | |   (456)  all_58_26 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (112), (456) are inconsistent by sub-proof
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | |            #312.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | |   (457)  all_58_24 = e3 | all_58_25 = e2
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (457) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | |   (458)  all_58_25 = e2
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (100), (450), (458) are inconsistent by sub-proof
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | |            #922.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | |   (459)  all_58_24 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (89), (459) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | |   (460)  all_52_8 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (98), (460) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | |   (461)   ~ (all_52_4 = e3)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (26), (55), (56), (101), (103), (129),
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | |            (423), (446), (455), (461) are inconsistent by
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #423.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | |   (462)  all_58_28 = e3 | all_58_29 = e2
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (68), (70), (128), (452), (462) are inconsistent
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #844.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | |   (463)  all_56_6 = e2 | all_56_12 = e2
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (45), (108), (443), (463) are inconsistent
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #791.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | |   (464)   ~ (all_56_6 = e3)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | REDUCE: (429), (464) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | |   (465)   ~ (all_6_1 = e3)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | |   (466)  all_54_8 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (428), (433), (466) are inconsistent by sub-proof
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | |            #265.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | |   (467)  all_54_8 = e3 | all_54_8 = e2
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (467) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | |   (468)  all_54_8 = e2
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (428), (468) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | |   (469)  all_6_1 = e2
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | SIMP: (469) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | |   (470)  all_6_1 = e2
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (430), (470) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | |   (471)   ~ (all_52_1 = e2)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (432), (470) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | |   (472)   ~ (all_52_6 = e2)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (425), (470) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | |   (473)  op(e2, e1) = all_6_0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (435), (470) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | |   (474)  op(e1, e2) = all_58_8
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | |   (475)  all_54_4 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (113), (475) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | |   (476)  all_52_1 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (419), (476) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | |   (477)  $false
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (477) is inconsistent.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | |   (478)  all_54_4 = e3 | all_54_4 = e2
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (478) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | |   (479)  all_54_4 = e2
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (113), (479) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | |   (480)  all_52_1 = e2
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (471), (480) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | |   (481)  $false
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (481) is inconsistent.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | |   (482)  all_54_4 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (113), (482) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | |   (483)  all_52_1 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (483) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | |   (484)   ~ (all_52_13 = e3)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (484) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | |   (485)   ~ (all_52_13 = e3)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (483) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | |   (486)  op(e2, e3) = all_58_4
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (59), (483) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | |   (487)  op(e2, e3) = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (102) with all_52_6, all_58_8, e2,
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | |              e1, simplifying with (120), (474) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | |   (488)  all_58_8 = all_52_6
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (102) with all_52_9, all_6_0, e1,
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | |              e2, simplifying with (34), (473) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | |   (489)  all_52_9 = all_6_0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (102) with e3, all_58_4, e3, e2,
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (486), (487) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | |   (490)  all_58_4 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (100), (489) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | |   (491)  all_58_25 = all_6_0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (28), (489) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | |   (492)   ~ (all_52_13 = all_6_0)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (492) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | |   (493)   ~ (all_52_13 = all_6_0)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (84) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | |   (494)  all_56_4 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (76), (494) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | |   (495)  all_52_8 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (495) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | |   (496)  all_52_8 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (98), (496) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | |   (497)   ~ (all_52_4 = e3)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (67), (496) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | |   (498)   ~ (all_10_1 = e3)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (498) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | |   (499)   ~ (all_10_1 = e3)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | |   (500)  all_58_22 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (92), (500) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | |   (501)  all_52_6 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (501) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | |   (502)  all_52_6 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (502) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | |   (503)   ~ (all_52_14 = e1)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (503) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | |   (504)   ~ (all_52_14 = e1)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (472), (502) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | |   (505)   ~ (e2 = e1)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (33), (38), (46), (68), (70), (106), (128),
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | |            (142), (181), (186), (504) are inconsistent by
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #853.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | |   (506)   ~ (all_58_22 = e1)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (506) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | |   (507)   ~ (all_52_6 = e1)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (442) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (508)  all_56_3 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (91), (112), (508) are inconsistent by sub-proof
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #571.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (509)  all_56_7 = e1 | all_56_13 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (509) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (510)  all_56_7 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (114), (507), (510) are inconsistent by sub-proof
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #662.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (511)  all_56_13 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16), (511) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (512)  all_4_1 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (512) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (513)  all_4_1 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (77) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (514)  all_56_12 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20), (514) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (515)  e3 = e0
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (515) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (516)  $false
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (516) is inconsistent.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (517)  all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (517) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (518)  all_56_13 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (511), (518) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (519)  e3 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (519) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (520)  $false
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (520) is inconsistent.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (521)  all_56_14 = e3 | all_56_15 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (521) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (522)  all_56_14 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (41), (499), (522) are inconsistent by sub-proof
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #323.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (523)  all_56_15 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14), (523) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (524)  all_14_2 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (524) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (525)  all_14_2 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (139), (525) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (526)  all_58_12 = e3
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (115) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (527)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_58_2 = e1) &  ~ (all_58_3 = e0)) | ( ~
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_58_6 = e1) &  ~ (all_58_7 = e0))
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (140), (490), (527) are inconsistent by sub-proof
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #355.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (528)  ( ~ (all_58_8 = e3) &  ~ (all_58_9 = e2) &  ~
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_58_14 = e1) &  ~ (all_58_15 = e0))
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (528) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (529)   ~ (all_58_8 = e3) &  ~ (all_58_9 = e2) &  ~
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_10 = e1) &  ~ (all_58_11 = e0)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (529) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (530)   ~ (all_58_8 = e3)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (488), (530) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (531)   ~ (all_52_6 = e3)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (26), (56), (160), (176), (423), (497),
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (507), (531) are inconsistent by sub-proof #424.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (532)   ~ (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_14 = e1) &  ~ (all_58_15 = e0)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (532) implies:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (533)   ~ (all_58_12 = e3)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (526), (533) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (534)  $false
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (534) is inconsistent.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | |   (535)   ~ (all_56_4 = e3)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (535) imply:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | |   (536)   ~ (all_52_8 = e3)
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | |   (537)  all_58_26 = e1
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (112), (537) are inconsistent by sub-proof
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | |            #312.
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | |   (538)  all_58_24 = e3 | all_58_25 = e2
% 172.28/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (538) gives:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (539)  all_58_25 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (539) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (540)  all_6_0 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (493), (540) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (541)   ~ (all_52_13 = e2)
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (58), (68), (70), (119), (128), (157),
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (186), (485), (541) are inconsistent by sub-proof
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #529.
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (542)  all_58_24 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (89), (542) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (543)  all_52_8 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (543) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (544)  $false
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (544) is inconsistent.
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |   (545)  all_54_8 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (428), (545) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |   (546)  all_6_1 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | SIMP: (546) implies:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |   (547)  all_6_1 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (465), (547) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |   (548)  $false
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (548) is inconsistent.
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.61  | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | End of split
% 172.28/26.61  | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.61  | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | |   (549)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | BETA: splitting (549) gives:
% 172.28/26.61  | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | |   (550)  all_56_2 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (66), (550) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | |   (551)  all_52_1 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | REDUCE: (419), (551) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | |   (552)  $false
% 172.28/26.61  | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | CLOSE: (552) is inconsistent.
% 172.28/26.61  | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | |   (553)  all_56_6 = e1 | all_56_12 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (20), (33), (38), (46), (68), (70), (87),
% 172.28/26.61  | | | | | | | | | | | | | | | | | |            (104), (106), (112), (128), (142), (181), (186),
% 172.28/26.61  | | | | | | | | | | | | | | | | | |            (553) are inconsistent by sub-proof #588.
% 172.28/26.61  | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | End of split
% 172.28/26.61  | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | End of split
% 172.28/26.61  | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | End of split
% 172.28/26.61  | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | End of split
% 172.28/26.61  | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | End of split
% 172.28/26.61  | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | End of split
% 172.28/26.61  | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | End of split
% 172.28/26.61  | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | End of split
% 172.28/26.61  | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | End of split
% 172.28/26.61  | | | | | | | | | 
% 172.28/26.61  | | | | | | | | End of split
% 172.28/26.61  | | | | | | | | 
% 172.28/26.61  | | | | | | | End of split
% 172.28/26.61  | | | | | | | 
% 172.28/26.61  | | | | | | End of split
% 172.28/26.61  | | | | | | 
% 172.28/26.61  | | | | | End of split
% 172.28/26.61  | | | | | 
% 172.28/26.61  | | | | End of split
% 172.28/26.61  | | | | 
% 172.28/26.61  | | | End of split
% 172.28/26.61  | | | 
% 172.28/26.61  | | Case 2:
% 172.28/26.61  | | | 
% 172.28/26.61  | | |   (554)  all_48_2 = e1
% 172.28/26.61  | | | 
% 172.28/26.61  | | | COMBINE_EQS: (21), (554) imply:
% 172.28/26.61  | | |   (555)  all_14_2 = e1
% 172.28/26.61  | | | 
% 172.28/26.61  | | | SIMP: (555) implies:
% 172.28/26.61  | | |   (556)  all_14_2 = e1
% 172.28/26.61  | | | 
% 172.28/26.61  | | | COMBINE_EQS: (14), (556) imply:
% 172.28/26.61  | | |   (557)  all_56_15 = e1
% 172.28/26.61  | | | 
% 172.28/26.61  | | | COMBINE_EQS: (27), (556) imply:
% 172.28/26.61  | | |   (558)  all_58_31 = e1
% 172.28/26.61  | | | 
% 172.28/26.61  | | | REDUCE: (52), (556) imply:
% 172.28/26.61  | | |   (559)   ~ (all_52_13 = e1)
% 172.28/26.61  | | | 
% 172.28/26.61  | | | REDUCE: (99), (556) imply:
% 172.28/26.61  | | |   (560)   ~ (all_52_14 = e1)
% 172.28/26.61  | | | 
% 172.28/26.61  | | | BETA: splitting (23) gives:
% 172.28/26.61  | | | 
% 172.28/26.61  | | | Case 1:
% 172.28/26.61  | | | | 
% 172.28/26.61  | | | |   (561)  all_58_31 = e0
% 172.28/26.61  | | | | 
% 172.28/26.61  | | | | COMBINE_EQS: (558), (561) imply:
% 172.28/26.61  | | | |   (562)  e1 = e0
% 172.28/26.61  | | | | 
% 172.28/26.61  | | | | REDUCE: (112), (562) imply:
% 172.28/26.61  | | | |   (563)  $false
% 172.28/26.61  | | | | 
% 172.28/26.61  | | | | CLOSE: (563) is inconsistent.
% 172.28/26.61  | | | | 
% 172.28/26.61  | | | Case 2:
% 172.28/26.61  | | | | 
% 172.28/26.61  | | | |   (564)   ~ (all_58_31 = e0)
% 172.28/26.61  | | | |   (565)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.28/26.61  | | | | 
% 172.28/26.61  | | | | BETA: splitting (565) gives:
% 172.28/26.61  | | | | 
% 172.28/26.61  | | | | Case 1:
% 172.28/26.61  | | | | | 
% 172.28/26.61  | | | | |   (566)  all_58_30 = e1
% 172.28/26.61  | | | | | 
% 172.28/26.61  | | | | | COMBINE_EQS: (38), (566) imply:
% 172.28/26.61  | | | | |   (567)  all_52_14 = e1
% 172.28/26.61  | | | | | 
% 172.28/26.61  | | | | | REDUCE: (560), (567) imply:
% 172.28/26.61  | | | | |   (568)  $false
% 172.28/26.61  | | | | | 
% 172.28/26.61  | | | | | CLOSE: (568) is inconsistent.
% 172.28/26.61  | | | | | 
% 172.28/26.61  | | | | Case 2:
% 172.28/26.61  | | | | | 
% 172.28/26.61  | | | | |   (569)   ~ (all_58_30 = e1)
% 172.28/26.61  | | | | |   (570)  all_58_28 = e3 | all_58_29 = e2
% 172.28/26.61  | | | | | 
% 172.28/26.61  | | | | | BETA: splitting (570) gives:
% 172.28/26.61  | | | | | 
% 172.28/26.61  | | | | | Case 1:
% 172.28/26.61  | | | | | | 
% 172.28/26.61  | | | | | |   (571)  all_58_29 = e2
% 172.28/26.61  | | | | | | 
% 172.28/26.61  | | | | | | COMBINE_EQS: (70), (571) imply:
% 172.28/26.61  | | | | | |   (572)  all_52_13 = e2
% 172.28/26.61  | | | | | | 
% 172.28/26.61  | | | | | | REDUCE: (80), (572) imply:
% 172.28/26.61  | | | | | |   (573)   ~ (all_52_1 = e2)
% 172.28/26.61  | | | | | | 
% 172.28/26.61  | | | | | | REDUCE: (28), (572) imply:
% 172.28/26.61  | | | | | |   (574)   ~ (all_52_9 = e2)
% 172.28/26.61  | | | | | | 
% 172.28/26.61  | | | | | | REDUCE: (58), (572) imply:
% 172.28/26.61  | | | | | |   (575)   ~ (all_52_14 = e2)
% 172.28/26.61  | | | | | | 
% 172.28/26.61  | | | | | | SIMP: (575) implies:
% 172.28/26.61  | | | | | |   (576)   ~ (all_52_14 = e2)
% 172.28/26.61  | | | | | | 
% 172.28/26.61  | | | | | | BETA: splitting (19) gives:
% 172.28/26.61  | | | | | | 
% 172.28/26.61  | | | | | | Case 1:
% 172.28/26.61  | | | | | | | 
% 172.28/26.61  | | | | | | |   (577)  all_54_11 = e0
% 172.28/26.61  | | | | | | | 
% 172.28/26.61  | | | | | | | REF_CLOSE: (109), (122), (577) are inconsistent by sub-proof #558.
% 172.28/26.61  | | | | | | | 
% 172.28/26.61  | | | | | | Case 2:
% 172.28/26.61  | | | | | | | 
% 172.28/26.61  | | | | | | |   (578)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 172.28/26.61  | | | | | | | 
% 172.28/26.61  | | | | | | | BETA: splitting (37) gives:
% 172.28/26.61  | | | | | | | 
% 172.28/26.61  | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | 
% 172.28/26.61  | | | | | | | |   (579)  all_58_27 = e0
% 172.28/26.61  | | | | | | | | 
% 172.28/26.61  | | | | | | | | COMBINE_EQS: (96), (579) imply:
% 172.28/26.61  | | | | | | | |   (580)  all_10_1 = e0
% 172.28/26.61  | | | | | | | | 
% 172.28/26.61  | | | | | | | | REDUCE: (121), (580) imply:
% 172.28/26.61  | | | | | | | |   (581)  $false
% 172.28/26.61  | | | | | | | | 
% 172.28/26.61  | | | | | | | | CLOSE: (581) is inconsistent.
% 172.28/26.61  | | | | | | | | 
% 172.28/26.61  | | | | | | | Case 2:
% 172.28/26.61  | | | | | | | | 
% 172.28/26.61  | | | | | | | |   (582)   ~ (all_58_27 = e0)
% 172.28/26.61  | | | | | | | |   (583)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.28/26.61  | | | | | | | | 
% 172.28/26.61  | | | | | | | | BETA: splitting (583) gives:
% 172.28/26.61  | | | | | | | | 
% 172.28/26.61  | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | 
% 172.28/26.61  | | | | | | | | |   (584)  all_58_26 = e1
% 172.28/26.61  | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | REF_CLOSE: (47), (112), (584) are inconsistent by sub-proof
% 172.28/26.61  | | | | | | | | |            #312.
% 172.28/26.61  | | | | | | | | | 
% 172.28/26.61  | | | | | | | | Case 2:
% 172.28/26.61  | | | | | | | | | 
% 172.28/26.61  | | | | | | | | |   (585)  all_58_24 = e3 | all_58_25 = e2
% 172.28/26.61  | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | BETA: splitting (578) gives:
% 172.28/26.61  | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | |   (586)  all_54_11 = e1
% 172.28/26.61  | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | REF_CLOSE: (122), (560), (586) are inconsistent by sub-proof
% 172.28/26.61  | | | | | | | | | |            #929.
% 172.28/26.61  | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | Case 2:
% 172.28/26.61  | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | |   (587)  all_54_11 = e3 | all_54_11 = e2
% 172.28/26.61  | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | BETA: splitting (585) gives:
% 172.28/26.61  | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | |   (588)  all_58_25 = e2
% 172.28/26.61  | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | COMBINE_EQS: (100), (588) imply:
% 172.28/26.61  | | | | | | | | | | |   (589)  all_52_9 = e2
% 172.28/26.61  | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | REDUCE: (574), (589) imply:
% 172.28/26.61  | | | | | | | | | | |   (590)  $false
% 172.28/26.61  | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | CLOSE: (590) is inconsistent.
% 172.28/26.61  | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | Case 2:
% 172.28/26.61  | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | |   (591)  all_58_24 = e3
% 172.28/26.61  | | | | | | | | | | |   (592)   ~ (all_58_25 = e2)
% 172.28/26.61  | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | COMBINE_EQS: (89), (591) imply:
% 172.28/26.61  | | | | | | | | | | |   (593)  all_52_8 = e3
% 172.28/26.61  | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | REDUCE: (64), (593) imply:
% 172.28/26.61  | | | | | | | | | | |   (594)   ~ (all_52_9 = e3)
% 172.28/26.61  | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | SIMP: (594) implies:
% 172.28/26.61  | | | | | | | | | | |   (595)   ~ (all_52_9 = e3)
% 172.28/26.61  | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | REDUCE: (67), (593) imply:
% 172.28/26.61  | | | | | | | | | | |   (596)   ~ (all_10_1 = e3)
% 172.28/26.61  | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | SIMP: (596) implies:
% 172.28/26.61  | | | | | | | | | | |   (597)   ~ (all_10_1 = e3)
% 172.28/26.61  | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | BETA: splitting (18) gives:
% 172.28/26.61  | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | |   (598)  all_54_6 = e0
% 172.28/26.61  | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | REF_CLOSE: (17), (25), (598) are inconsistent by sub-proof
% 172.28/26.61  | | | | | | | | | | | |            #901.
% 172.28/26.61  | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | Case 2:
% 172.28/26.61  | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | |   (599)   ~ (all_54_6 = e0)
% 172.28/26.61  | | | | | | | | | | | |   (600)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 172.28/26.61  | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | BETA: splitting (77) gives:
% 172.28/26.61  | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | |   (601)  all_56_12 = e3
% 172.28/26.61  | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | COMBINE_EQS: (20), (601) imply:
% 172.28/26.61  | | | | | | | | | | | | |   (602)  e3 = e0
% 172.28/26.61  | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | REDUCE: (68), (602) imply:
% 172.28/26.61  | | | | | | | | | | | | |   (603)  $false
% 172.28/26.61  | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | CLOSE: (603) is inconsistent.
% 172.28/26.61  | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | Case 2:
% 172.28/26.61  | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | |   (604)  all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.28/26.61  | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | BETA: splitting (604) gives:
% 172.28/26.61  | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | |   (605)  all_56_13 = e3
% 172.28/26.61  | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | COMBINE_EQS: (16), (605) imply:
% 172.28/26.61  | | | | | | | | | | | | | |   (606)  all_4_1 = e3
% 172.28/26.61  | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | SIMP: (606) implies:
% 172.28/26.61  | | | | | | | | | | | | | |   (607)  all_4_1 = e3
% 172.28/26.61  | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | COMBINE_EQS: (13), (607) imply:
% 172.28/26.61  | | | | | | | | | | | | | |   (608)  all_58_23 = e3
% 172.28/26.61  | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | REDUCE: (44), (607) imply:
% 172.28/26.61  | | | | | | | | | | | | | |   (609)   ~ (all_52_4 = e3)
% 172.28/26.61  | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | BETA: splitting (587) gives:
% 172.28/26.61  | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | |   (610)  all_54_11 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | REF_CLOSE: (122), (576), (610) are inconsistent by sub-proof
% 172.28/26.61  | | | | | | | | | | | | | | |            #585.
% 172.28/26.61  | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | Case 2:
% 172.28/26.61  | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | |   (611)  all_54_11 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | COMBINE_EQS: (122), (611) imply:
% 172.28/26.61  | | | | | | | | | | | | | | |   (612)  all_52_14 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | SIMP: (612) implies:
% 172.28/26.61  | | | | | | | | | | | | | | |   (613)  all_52_14 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | COMBINE_EQS: (38), (613) imply:
% 172.28/26.61  | | | | | | | | | | | | | | |   (614)  all_58_30 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | BETA: splitting (123) gives:
% 172.28/26.61  | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | |   (615)  all_56_2 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | COMBINE_EQS: (66), (615) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | |   (616)  all_52_1 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | SIMP: (616) implies:
% 172.28/26.61  | | | | | | | | | | | | | | | |   (617)  all_52_1 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | COMBINE_EQS: (39), (617) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | |   (618)  all_58_17 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | REDUCE: (71), (617) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | |   (619)   ~ (all_52_2 = e3)
% 172.28/26.61  | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | SIMP: (619) implies:
% 172.28/26.61  | | | | | | | | | | | | | | | |   (620)   ~ (all_52_2 = e3)
% 172.28/26.61  | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | REDUCE: (31), (617) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | |   (621)   ~ (all_6_2 = e3)
% 172.28/26.61  | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | SIMP: (621) implies:
% 172.28/26.61  | | | | | | | | | | | | | | | |   (622)   ~ (all_6_2 = e3)
% 172.28/26.61  | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | BETA: splitting (117) gives:
% 172.28/26.61  | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | |   (623)  all_56_12 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | COMBINE_EQS: (20), (623) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | |   (624)  e2 = e0
% 172.28/26.61  | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | REDUCE: (108), (624) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | |   (625)  $false
% 172.28/26.61  | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | CLOSE: (625) is inconsistent.
% 172.28/26.61  | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.61  | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | |   (626)  all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | BETA: splitting (626) gives:
% 172.28/26.61  | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | |   (627)  all_56_13 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (605), (627) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | |   (628)  e3 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | SIMP: (628) implies:
% 172.28/26.61  | | | | | | | | | | | | | | | | | |   (629)  e3 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | REDUCE: (45), (629) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | |   (630)  $false
% 172.28/26.61  | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | CLOSE: (630) is inconsistent.
% 172.28/26.61  | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | |   (631)  all_56_14 = e2 | all_56_15 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | BETA: splitting (631) gives:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | |   (632)  all_56_14 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (41), (632) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | |   (633)  all_10_1 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | SIMP: (633) implies:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | |   (634)  all_10_1 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (96), (634) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | |   (635)  all_58_27 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | REDUCE: (597), (634) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | |   (636)   ~ (e3 = e2)
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | BETA: splitting (600) gives:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | |   (637)  all_54_6 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17), (637) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | |   (638)  all_52_9 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | SIMP: (638) implies:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | |   (639)  all_52_9 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (100), (639) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | |   (640)  all_58_25 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | REDUCE: (595), (639) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | |   (641)   ~ (e3 = e1)
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (639) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | |   (642)   ~ (e2 = e1)
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | BETA: splitting (118) gives:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |   (643)  all_58_31 = e0
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (558), (643) are inconsistent by sub-proof
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |            #311.
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |   (644)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (644) gives:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |   (645)  all_58_26 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (47), (645) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |   (646)  e1 = e0
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (646) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |   (647)  $false
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (647) is inconsistent.
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |   (648)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            & all_58_18 = e1 & all_58_20 = e3 & all_58_24 =
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            all_58_20 = e3 & all_58_28 = e0) | (all_58_17 =
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_17 = e3 & all_58_20 = e3 &
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            all_58_23 = e2 & all_58_29 = e2) | (all_58_17 =
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            = e3) | (all_58_17 = e2 & all_58_19 = e3 &
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            all_58_20 = e2 & all_58_28 = e3) | (all_58_17 =
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            all_58_23 = e0 & all_58_29 = e0) | (all_58_17 =
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            & all_58_19 = e0 & all_58_24 = e3 & all_58_28 =
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            all_58_24 = e3 & all_58_25 = e1) | (all_58_18 =
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            all_58_24 = e1 & all_58_28 = e3) | (all_58_18 =
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_18 =
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_28 = e3 & all_58_29 =
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 =
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 =
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_25 = e2 & all_58_29 =
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_22 = e2 & all_58_25 = e2 &
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e1 & all_58_30 = e1) | (all_58_22 =
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_22 = e1 & all_58_25 = e1 &
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_22 =
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            & all_58_27 = e0 & all_58_29 = e2 & all_58_30 =
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_23 = e0 & all_58_27 = e1 &
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            all_58_29 = e0 & all_58_30 = e1) | (all_58_23 =
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0 & e1 = e0)
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (648) gives:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |   (649)  all_58_21 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (40), (649) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |   (650)  e2 = e0
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (650) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |   (651)  $false
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (651) is inconsistent.
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |   (652)  all_58_16 = e3 | (all_58_17 = e3 & all_58_18 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_20 = e3 & all_58_24 = e1) | (all_58_17
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0) | (all_58_17 = e3 & all_58_20 =
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_18 = e1 & all_58_24
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 =
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e3 & all_58_29 = e0) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_19 = e0 & all_58_23
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_19 = e0 & all_58_28
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e3 = e0) | (all_58_22 = e2 & all_58_23 =
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_25 = e2 & all_58_29 = e0) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (652) gives:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |   (653)  all_58_16 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (622), (653) are inconsistent by sub-proof
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |            #451.
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |   (654)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (654) gives:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | |   (655)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (655) gives:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (656)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (656) gives:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (657)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2)
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (657) gives:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (658)  all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (658) implies:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (659)  all_58_24 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (591), (659) are inconsistent by sub-proof
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #305.
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (660)  (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_17 = e3 & all_58_20
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_22 = e2 & all_58_25 = e2)
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (660) gives:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (661)  all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (661) implies:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (662)  all_58_20 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (81), (662) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (663)  all_52_4 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (663) implies:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (664)  all_52_4 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (609), (664) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (665)  $false
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (665) is inconsistent.
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (666)  all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 &
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (666) implies:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (667)  all_58_25 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (640), (667) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (668)  e2 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (571), (668) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (669)  all_58_29 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (68), (128), (570), (669) are inconsistent
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #509.
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (670)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (670) gives:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (671)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3)
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (671) gives:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (672)  all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (672) implies:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (673)  all_58_23 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (608), (673) are inconsistent by sub-proof
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #264.
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (674)  all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (674) implies:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (675)  all_58_17 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (618), (675) are inconsistent by sub-proof
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #620.
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (676)  (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (676) gives:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (677)  all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 &
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (677) implies:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (678)  all_58_28 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (679)  all_58_17 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (618), (679) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (680)  e3 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (680) implies:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (681)  e3 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (128), (678) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (682)  e3 = e0
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (682) implies:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (683)  e3 = e0
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (683) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (684)  e2 = e0
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (605), (683) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (685)  all_56_13 = e0
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (41), (68), (557), (597), (604), (685) are
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #299.
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (686)  all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (686) implies:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (687)  all_58_17 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (618), (687) are inconsistent by sub-proof
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #620.
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (688)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0)
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (688) gives:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (689)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (689) gives:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (690)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2)
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (690) gives:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (691)  all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (691) implies:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (692)  all_58_23 = e0
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (608), (692) imply:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (693)  e3 = e0
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (41), (68), (557), (597), (604), (605), (693)
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #263.
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (694)  all_58_17 = e2 & all_58_20 = e2 & e3 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (694) implies:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (695)  all_58_17 = e2
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (618), (695) are inconsistent by sub-proof
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #620.
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (696)  (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1)
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (696) gives:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (697)  all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (697) implies:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (698)  all_58_18 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (620), (698) are inconsistent by sub-proof
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #262.
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (699)  all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 &
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (699) implies:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (700)  all_58_18 = e3
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (620), (700) are inconsistent by sub-proof
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #262.
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (701)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (701) gives:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (702)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3)
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (702) gives:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (703)  all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (703) implies:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (704)  all_58_27 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (635), (704) imply:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (705)  e2 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (571), (705) imply:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (706)  all_58_29 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (68), (128), (570), (706) are inconsistent
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #509.
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (707)  all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (707) implies:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (708)  all_58_28 = e3
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (709)  all_58_24 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (591), (709) imply:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (710)  e3 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (710) implies:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (711)  e3 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (128), (708) imply:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (712)  e3 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (712) implies:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (713)  e3 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (711), (713) imply:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (714)  e1 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (41), (68), (557), (597), (604), (605),
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (711), (714) are inconsistent by sub-proof #261.
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (715)  (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (715) gives:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (716)  all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 &
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (716) implies:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (717)  all_58_25 = e2
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (640), (717) imply:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (718)  e2 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (571), (718) imply:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (719)  all_58_29 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (68), (128), (570), (719) are inconsistent
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #509.
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (720)  all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (720) implies:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (721)  all_58_30 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (614), (721) imply:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (722)  e3 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (41), (68), (557), (597), (604), (605), (722)
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #263.
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | |   (723)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (723) gives:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (724)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (724) gives:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (725)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (725) gives:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (726)  all_58_18 = e1 & all_58_24 = e1 & e3 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (726) implies:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (727)  all_58_24 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (591), (727) are inconsistent by sub-proof
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #305.
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (728)  (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (728) gives:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (729)  all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (729) implies:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (730)  all_58_28 = e3
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (128), (730) imply:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (731)  e3 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (41), (68), (557), (597), (604), (605), (731)
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #263.
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (732)  all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (732) implies:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (733)  all_58_30 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (614), (733) imply:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (734)  e3 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (41), (68), (557), (597), (604), (605), (734)
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #263.
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (735)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (735) gives:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (736)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1)
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (736) gives:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (737)  all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (737) implies:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (738)  all_58_23 = e2
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (608), (738) are inconsistent by sub-proof
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #264.
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (739)  all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (739) implies:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (740)  all_58_27 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (635), (740) imply:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (741)  e2 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (571), (741) imply:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (742)  all_58_29 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (68), (128), (570), (742) are inconsistent
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #509.
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (743)  (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (743) gives:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (744)  all_58_19 = e0 & all_58_28 = e0 & e3 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (744) implies:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (745)  e3 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (605), (745) imply:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (746)  all_56_13 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (41), (68), (557), (597), (604), (746) are
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #299.
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (747)  all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (747) implies:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (748)  all_58_23 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (608), (748) imply:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (749)  e3 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (41), (68), (557), (597), (604), (605), (749)
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #263.
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (750)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (750) gives:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (751)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (751) gives:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (752)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2)
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (752) gives:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (753)  all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (753) implies:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (754)  all_58_27 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (635), (754) imply:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (755)  e2 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (571), (755) imply:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (756)  all_58_29 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (68), (128), (570), (756) are inconsistent
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #509.
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (757)  all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (757) implies:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (758)  all_58_23 = e2
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (608), (758) are inconsistent by sub-proof
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #264.
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (759)  (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (759) gives:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (760)  all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (760) implies:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (761)  all_58_30 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (614), (761) imply:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (762)  e3 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (41), (68), (557), (597), (604), (605), (762)
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #263.
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (763)  all_58_22 = e1 & all_58_25 = e1 & e2 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (763) implies:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (764)  e2 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (571), (764) imply:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (765)  all_58_29 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (68), (128), (570), (765) are inconsistent
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #509.
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (766)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (766) gives:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (767)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1)
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (767) gives:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (768)  all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (768) implies:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (769)  all_58_30 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (614), (769) imply:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (770)  e3 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (41), (68), (557), (597), (604), (605), (770)
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #263.
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (771)  all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (771) implies:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (772)  all_58_30 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (773)  all_58_29 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (774)  all_58_27 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (635), (774) imply:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (775)  e2 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (571), (773) imply:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (776)  e2 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (776) implies:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (777)  e2 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (614), (772) imply:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (778)  e3 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (778) implies:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (779)  e3 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (775), (777) imply:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (780)  e1 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (780) implies:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (781)  e1 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (41), (68), (557), (597), (604), (605),
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (779), (781) are inconsistent by sub-proof #261.
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (782)  (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (782) gives:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (783)  all_58_23 = e0 & all_58_29 = e0 & e2 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (783) implies:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (784)  all_58_23 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (608), (784) imply:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (785)  e3 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (41), (68), (557), (597), (604), (605), (785)
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #263.
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (786)  all_58_27 = e0 & all_58_30 = e0 & e1 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (786) implies:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (787)  all_58_30 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (614), (787) imply:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (788)  e3 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (41), (68), (557), (597), (604), (605), (788)
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #263.
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | |   (789)  all_54_6 = e3 | all_54_6 = e2
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (574), (595), (789) are inconsistent by
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | |            sub-proof #884.
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | |   (790)  all_56_15 = e2
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (557), (790) imply:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | |   (791)  e2 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (571), (791) imply:
% 172.28/26.62  | | | | | | | | | | | | | | | | | | |   (792)  all_58_29 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (68), (128), (570), (792) are inconsistent
% 172.28/26.62  | | | | | | | | | | | | | | | | | | |            by sub-proof #509.
% 172.28/26.62  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | Case 2:
% 172.28/26.62  | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | |   (793)   ~ (all_56_2 = e3)
% 172.28/26.62  | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | REDUCE: (66), (793) imply:
% 172.28/26.62  | | | | | | | | | | | | | | | |   (794)   ~ (all_52_1 = e3)
% 172.28/26.62  | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | BETA: splitting (86) gives:
% 172.28/26.62  | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.62  | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | |   (795)  all_54_4 = e0
% 172.28/26.62  | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | REF_CLOSE: (97), (113), (795) are inconsistent by sub-proof
% 172.28/26.62  | | | | | | | | | | | | | | | | |            #902.
% 172.28/26.62  | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.62  | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | |   (796)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 172.28/26.62  | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (88), (113), (573), (574), (595), (600),
% 172.28/26.62  | | | | | | | | | | | | | | | | |            (794), (796) are inconsistent by sub-proof #879.
% 172.28/26.62  | | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | Case 2:
% 172.28/26.62  | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | |   (797)  all_56_14 = e3 | all_56_15 = e3
% 172.28/26.62  | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | | REF_CLOSE: (9), (41), (557), (597), (797) are inconsistent by
% 172.28/26.62  | | | | | | | | | | | | | |            sub-proof #300.
% 172.28/26.62  | | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | | 
% 172.28/26.62  | | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | | 
% 172.28/26.62  | | | | | | | | End of split
% 172.28/26.62  | | | | | | | | 
% 172.28/26.62  | | | | | | | End of split
% 172.28/26.62  | | | | | | | 
% 172.28/26.62  | | | | | | End of split
% 172.28/26.62  | | | | | | 
% 172.28/26.62  | | | | | Case 2:
% 172.28/26.62  | | | | | | 
% 172.28/26.62  | | | | | |   (798)  all_58_28 = e3
% 172.28/26.62  | | | | | | 
% 172.28/26.62  | | | | | | REF_CLOSE: (68), (128), (798) are inconsistent by sub-proof #857.
% 172.28/26.62  | | | | | | 
% 172.28/26.62  | | | | | End of split
% 172.28/26.62  | | | | | 
% 172.28/26.62  | | | | End of split
% 172.28/26.62  | | | | 
% 172.28/26.62  | | | End of split
% 172.28/26.62  | | | 
% 172.28/26.62  | | End of split
% 172.28/26.62  | | 
% 172.28/26.62  | Case 2:
% 172.28/26.62  | | 
% 172.28/26.62  | |   (799)  all_56_10 = e0 | all_56_11 = e0
% 172.28/26.62  | | 
% 172.28/26.62  | | BETA: splitting (799) gives:
% 172.28/26.62  | | 
% 172.28/26.62  | | Case 1:
% 172.28/26.62  | | | 
% 172.28/26.62  | | |   (800)  all_56_10 = e0
% 172.28/26.62  | | | 
% 172.28/26.62  | | | REF_CLOSE: (72), (106), (800) are inconsistent by sub-proof #943.
% 172.28/26.62  | | | 
% 172.28/26.62  | | Case 2:
% 172.28/26.62  | | | 
% 172.28/26.62  | | |   (801)  all_56_11 = e0
% 172.28/26.62  | | | 
% 172.28/26.62  | | | REF_CLOSE: (33), (109), (801) are inconsistent by sub-proof #873.
% 172.28/26.62  | | | 
% 172.28/26.62  | | End of split
% 172.28/26.62  | | 
% 172.28/26.62  | End of split
% 172.28/26.62  | 
% 172.28/26.62  End of proof
% 172.28/26.62  
% 172.28/26.62  Sub-proof #261 shows that the following formulas are inconsistent:
% 172.28/26.62  ----------------------------------------------------------------
% 172.28/26.62    (1)   ~ (e3 = e1)
% 172.28/26.62    (2)  e3 = e1
% 172.28/26.62    (3)  all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.28/26.62    (4)  all_56_14 = all_10_1
% 172.28/26.62    (5)   ~ (all_10_1 = e3)
% 172.28/26.62    (6)   ~ (e3 = e0)
% 172.28/26.62    (7)  e1 = e0
% 172.28/26.62    (8)  all_56_13 = e3
% 172.28/26.62    (9)  all_56_15 = e1
% 172.28/26.62  
% 172.28/26.62  Begin of proof
% 172.28/26.62  | 
% 172.28/26.62  | COMBINE_EQS: (2), (7) imply:
% 172.28/26.62  |   (10)  e3 = e0
% 172.28/26.62  | 
% 172.28/26.62  | COMBINE_EQS: (8), (10) imply:
% 172.28/26.62  |   (11)  all_56_13 = e0
% 172.28/26.62  | 
% 172.28/26.62  | REF_CLOSE: (1), (3), (4), (5), (6), (9), (11) are inconsistent by sub-proof
% 172.28/26.62  |            #299.
% 172.28/26.62  | 
% 172.28/26.62  End of proof
% 172.28/26.62  
% 172.28/26.62  Sub-proof #262 shows that the following formulas are inconsistent:
% 172.28/26.62  ----------------------------------------------------------------
% 172.28/26.62    (1)  all_58_18 = all_52_2
% 172.28/26.62    (2)  all_58_18 = e3
% 172.28/26.62    (3)   ~ (all_52_2 = e3)
% 172.28/26.62  
% 172.28/26.62  Begin of proof
% 172.28/26.62  | 
% 172.28/26.62  | COMBINE_EQS: (1), (2) imply:
% 172.28/26.62  |   (4)  all_52_2 = e3
% 172.28/26.62  | 
% 172.28/26.62  | SIMP: (4) implies:
% 172.28/26.62  |   (5)  all_52_2 = e3
% 172.28/26.62  | 
% 172.28/26.62  | REDUCE: (3), (5) imply:
% 172.28/26.62  |   (6)  $false
% 172.28/26.62  | 
% 172.28/26.62  | CLOSE: (6) is inconsistent.
% 172.28/26.62  | 
% 172.28/26.62  End of proof
% 172.28/26.62  
% 172.28/26.62  Sub-proof #263 shows that the following formulas are inconsistent:
% 172.28/26.62  ----------------------------------------------------------------
% 172.28/26.62    (1)   ~ (e3 = e1)
% 172.28/26.62    (2)  all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.28/26.62    (3)  all_56_14 = all_10_1
% 172.28/26.62    (4)   ~ (all_10_1 = e3)
% 172.28/26.62    (5)   ~ (e3 = e0)
% 172.28/26.62    (6)  e3 = e0
% 172.28/26.62    (7)  all_56_13 = e3
% 172.28/26.62    (8)  all_56_15 = e1
% 172.28/26.62  
% 172.28/26.62  Begin of proof
% 172.28/26.62  | 
% 172.28/26.62  | SIMP: (6) implies:
% 172.28/26.62  |   (9)  e3 = e0
% 172.28/26.62  | 
% 172.28/26.62  | COMBINE_EQS: (7), (9) imply:
% 172.28/26.62  |   (10)  all_56_13 = e0
% 172.28/26.62  | 
% 172.28/26.62  | REF_CLOSE: (1), (2), (3), (4), (5), (8), (10) are inconsistent by sub-proof
% 172.28/26.62  |            #299.
% 172.28/26.62  | 
% 172.28/26.62  End of proof
% 172.28/26.62  
% 172.28/26.62  Sub-proof #264 shows that the following formulas are inconsistent:
% 172.28/26.62  ----------------------------------------------------------------
% 172.28/26.62    (1)  all_58_23 = e3
% 172.28/26.62    (2)  all_58_23 = e2
% 172.28/26.62    (3)   ~ (e3 = e2)
% 172.28/26.62  
% 172.28/26.62  Begin of proof
% 172.28/26.62  | 
% 172.28/26.62  | COMBINE_EQS: (1), (2) imply:
% 172.28/26.62  |   (4)  e3 = e2
% 172.28/26.62  | 
% 172.28/26.62  | SIMP: (4) implies:
% 172.28/26.62  |   (5)  e3 = e2
% 172.28/26.62  | 
% 172.28/26.62  | REDUCE: (3), (5) imply:
% 172.28/26.62  |   (6)  $false
% 172.28/26.62  | 
% 172.28/26.62  | CLOSE: (6) is inconsistent.
% 172.28/26.62  | 
% 172.28/26.62  End of proof
% 172.28/26.62  
% 172.28/26.62  Sub-proof #265 shows that the following formulas are inconsistent:
% 172.28/26.62  ----------------------------------------------------------------
% 172.28/26.62    (1)  all_54_8 = all_6_1
% 172.28/26.62    (2)  all_54_8 = e1
% 172.28/26.62    (3)   ~ (all_6_1 = e1)
% 172.28/26.62  
% 172.28/26.62  Begin of proof
% 172.28/26.62  | 
% 172.28/26.62  | COMBINE_EQS: (1), (2) imply:
% 172.28/26.62  |   (4)  all_6_1 = e1
% 172.28/26.62  | 
% 172.28/26.62  | SIMP: (4) implies:
% 172.28/26.62  |   (5)  all_6_1 = e1
% 172.28/26.62  | 
% 172.28/26.62  | REDUCE: (3), (5) imply:
% 172.28/26.62  |   (6)  $false
% 172.28/26.62  | 
% 172.28/26.62  | CLOSE: (6) is inconsistent.
% 172.28/26.62  | 
% 172.28/26.62  End of proof
% 172.28/26.62  
% 172.28/26.62  Sub-proof #266 shows that the following formulas are inconsistent:
% 172.28/26.62  ----------------------------------------------------------------
% 172.28/26.62    (1)  all_58_23 = e1
% 172.28/26.62    (2)  all_58_23 = e0
% 172.28/26.62    (3)   ~ (e1 = e0)
% 172.28/26.62  
% 172.28/26.62  Begin of proof
% 172.28/26.62  | 
% 172.28/26.62  | COMBINE_EQS: (1), (2) imply:
% 172.28/26.62  |   (4)  e1 = e0
% 172.28/26.62  | 
% 172.28/26.62  | SIMP: (4) implies:
% 172.28/26.62  |   (5)  e1 = e0
% 172.28/26.62  | 
% 172.28/26.62  | REDUCE: (3), (5) imply:
% 172.28/26.62  |   (6)  $false
% 172.28/26.62  | 
% 172.28/26.62  | CLOSE: (6) is inconsistent.
% 172.28/26.62  | 
% 172.28/26.62  End of proof
% 172.28/26.62  
% 172.28/26.62  Sub-proof #267 shows that the following formulas are inconsistent:
% 172.28/26.62  ----------------------------------------------------------------
% 172.28/26.62    (1)  all_58_17 = e3
% 172.28/26.62    (2)  all_58_17 = e1
% 172.28/26.62    (3)   ~ (e3 = e1)
% 172.28/26.62  
% 172.28/26.62  Begin of proof
% 172.28/26.62  | 
% 172.28/26.62  | COMBINE_EQS: (1), (2) imply:
% 172.28/26.62  |   (4)  e3 = e1
% 172.28/26.62  | 
% 172.28/26.62  | SIMP: (4) implies:
% 172.28/26.62  |   (5)  e3 = e1
% 172.28/26.62  | 
% 172.28/26.62  | REDUCE: (3), (5) imply:
% 172.28/26.62  |   (6)  $false
% 172.28/26.62  | 
% 172.28/26.62  | CLOSE: (6) is inconsistent.
% 172.28/26.62  | 
% 172.28/26.62  End of proof
% 172.28/26.62  
% 172.28/26.62  Sub-proof #268 shows that the following formulas are inconsistent:
% 172.28/26.62  ----------------------------------------------------------------
% 172.28/26.62    (1)   ~ (all_52_12 = all_14_2)
% 172.28/26.62    (2)  all_56_1 = all_52_4
% 172.28/26.62    (3)  all_56_12 = all_52_3
% 172.28/26.62    (4)   ~ (all_52_8 = all_52_12)
% 172.28/26.62    (5)   ~ (e3 = e1)
% 172.28/26.62    (6)   ~ (all_52_4 = all_4_2)
% 172.28/26.62    (7)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.28/26.62    (8)  all_56_5 = all_52_9
% 172.28/26.62    (9)   ~ (all_52_6 = all_4_2)
% 172.28/26.62    (10)  op(e1, e0) = all_52_14
% 172.28/26.62    (11)  all_56_15 = all_14_2
% 172.28/26.62    (12)  all_54_1 = all_52_4
% 172.28/26.62    (13)   ~ (all_52_9 = all_4_2)
% 172.28/26.62    (14)   ~ (all_52_3 = all_52_7)
% 172.28/26.62    (15)  all_54_6 = all_52_9
% 172.28/26.62    (16)   ~ (all_52_7 = all_10_1)
% 172.28/26.62    (17)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 172.28/26.62    (18)   ~ (all_52_13 = all_4_2)
% 172.28/26.62    (19)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.28/26.62    (20)  all_48_2 = all_14_2
% 172.28/26.62    (21)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.28/26.62    (22)   ~ (all_52_9 = e0)
% 172.28/26.62    (23)   ~ (all_52_4 = all_52_6)
% 172.28/26.62    (24)  all_58_31 = all_14_2
% 172.28/26.62    (25)   ~ (all_52_9 = all_52_13)
% 172.28/26.62    (26)   ~ (all_52_4 = e0)
% 172.28/26.62    (27)  all_56_11 = all_52_14
% 172.28/26.62    (28)   ~ (all_52_6 = all_52_7)
% 172.28/26.62    (29)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.28/26.62    (30)  all_58_30 = all_52_14
% 172.28/26.62    (31)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.28/26.62    (32)  all_58_17 = all_52_1
% 172.28/26.62    (33)  all_56_14 = all_10_1
% 172.28/26.62    (34)  all_58_19 = all_52_3
% 172.28/26.62    (35)  all_56_9 = all_52_12
% 172.28/26.62    (36)   ~ (all_52_2 = all_52_6)
% 172.28/26.62    (37)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 172.28/26.62    (38)   ~ (e3 = e2)
% 172.28/26.62    (39)   ~ (all_52_4 = all_52_7)
% 172.28/26.62    (40)   ~ (e2 = e1)
% 172.28/26.62    (41)  all_58_26 = e0
% 172.28/26.62    (42)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 172.28/26.62    (43)   ~ (all_52_2 = e0)
% 172.28/26.62    (44)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.28/26.62    (45)   ~ (all_52_13 = all_14_2)
% 172.28/26.62    (46)   ~ (all_52_1 = all_4_2)
% 172.28/26.62    (47)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.28/26.62    (48)  all_54_14 = all_10_1
% 172.28/26.62    (49)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.28/26.62    (50)  all_54_9 = all_52_6
% 172.28/26.62    (51)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.28/26.62    (52)   ~ (all_52_13 = all_52_14)
% 172.28/26.62    (53)   ~ (all_48_0 = e3) |  ~ (all_48_1 = e2) |  ~ (all_48_2 = e1)
% 172.28/26.62    (54)  all_58_18 = all_52_2
% 172.28/26.62    (55)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.28/26.62    (56)  all_58_16 = e0
% 172.28/26.62    (57)  all_56_13 = all_52_7
% 172.28/26.62    (58)  op(e0, e3) = all_52_3
% 172.28/26.62    (59)   ~ (all_52_8 = all_52_9)
% 172.28/26.62    (60)  all_56_2 = all_52_1
% 172.28/26.62    (61)   ~ (all_52_8 = all_10_1)
% 172.28/26.62    (62)  op(e0, e3) = all_6_1
% 172.28/26.62    (63)   ~ (e3 = e0)
% 172.28/26.62    (64)  all_58_29 = all_52_13
% 172.28/26.62    (65)   ~ (all_52_1 = all_52_2)
% 172.28/26.62    (66)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 172.28/26.62    (67)   ~ (all_4_2 = e0)
% 172.28/26.62    (68)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.28/26.62    (69)  op(all_10_1, e0) = all_10_0
% 172.28/26.62    (70)   ~ (all_52_6 = all_52_14)
% 172.28/26.62    (71)  all_56_4 = all_52_8
% 172.28/26.62    (72)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.28/26.62    (73)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.28/26.62    (74)   ~ (all_52_9 = all_10_1)
% 172.28/26.62    (75)   ~ (all_52_1 = all_52_13)
% 172.28/26.62    (76)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.28/26.62    (77)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 172.28/26.62    (78)  all_58_20 = all_52_4
% 172.28/26.62    (79)  all_54_15 = all_14_2
% 172.28/26.62    (80)   ~ (all_14_2 = all_10_1)
% 172.28/26.62    (81)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 172.28/26.62    (82)  all_56_6 = all_52_2
% 172.28/26.62    (83)   ~ (all_52_1 = all_52_9)
% 172.28/26.62    (84)  all_58_24 = all_52_8
% 172.28/26.62    (85)   ~ (all_52_12 = all_52_14)
% 172.28/26.62    (86)  all_58_22 = all_52_6
% 172.28/26.62    (87)  all_56_3 = all_4_2
% 172.28/26.62    (88)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.28/26.62    (89)  all_58_27 = all_10_1
% 172.28/26.62    (90)   ~ (all_52_1 = e0)
% 172.28/26.62    (91)   ~ (all_52_2 = all_52_3)
% 172.28/26.62    (92)   ~ (all_52_4 = all_52_8)
% 172.28/26.62    (93)   ~ (all_52_14 = all_14_2)
% 172.28/26.62    (94)  all_58_25 = all_52_9
% 172.28/26.62    (95)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 172.28/26.62    (96)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.28/26.62            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.28/26.62    (97)   ~ (all_52_6 = e0)
% 172.28/26.62    (98)  all_54_12 = all_52_3
% 172.28/26.62    (99)   ~ (all_52_2 = all_52_14)
% 172.28/26.62    (100)  all_58_21 = all_4_2
% 172.28/26.62    (101)  all_56_10 = all_52_13
% 172.28/26.62    (102)  all_56_0 = e0
% 172.28/26.62    (103)   ~ (e2 = e0)
% 172.28/26.62    (104)   ~ (all_52_1 = all_52_3)
% 172.28/26.62    (105)   ~ (all_52_3 = all_10_1)
% 172.28/26.62    (106)  all_58_28 = all_52_12
% 172.28/26.62    (107)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.28/26.62    (108)   ~ (e1 = e0)
% 172.28/26.62    (109)  all_54_4 = all_52_1
% 172.28/26.62    (110)  all_56_7 = all_52_6
% 172.28/26.62    (111)   ~ (all_52_8 = e0)
% 172.28/26.62    (112)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.28/26.62    (113)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 172.28/26.62    (114)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.28/26.62           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.28/26.62           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.28/26.62           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.28/26.62           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.28/26.62           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.28/26.62           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.28/26.62           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.28/26.62           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.28/26.62           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.28/26.62             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.28/26.62             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.28/26.62             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.28/26.62             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.28/26.62             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.28/26.62             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.28/26.62             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.28/26.62             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.28/26.62             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.28/26.62             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.28/26.62             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.28/26.62             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.28/26.62             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.28/26.62             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.28/26.62             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.28/26.62             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.28/26.62           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.28/26.62           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.28/26.62           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.28/26.62             all_58_30 = e0 & e1 = e0)
% 172.28/26.62    (115)   ~ (all_52_12 = all_52_13)
% 172.28/26.62  
% 172.28/26.62  Begin of proof
% 172.28/26.62  | 
% 172.28/26.62  | BETA: splitting (72) gives:
% 172.28/26.62  | 
% 172.28/26.62  | Case 1:
% 172.28/26.62  | | 
% 172.28/26.62  | |   (116)  all_56_2 = e0
% 172.28/26.62  | | 
% 172.28/26.62  | | REF_CLOSE: (60), (90), (116) are inconsistent by sub-proof #335.
% 172.28/26.62  | | 
% 172.28/26.62  | Case 2:
% 172.28/26.62  | | 
% 172.28/26.62  | |   (117)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.28/26.62  | | 
% 172.28/26.62  | | BETA: splitting (55) gives:
% 172.28/26.62  | | 
% 172.28/26.62  | | Case 1:
% 172.28/26.62  | | | 
% 172.28/26.62  | | |   (118)  all_56_1 = e0
% 172.28/26.62  | | | 
% 172.28/26.62  | | | REF_CLOSE: (2), (26), (118) are inconsistent by sub-proof #560.
% 172.28/26.62  | | | 
% 172.28/26.62  | | Case 2:
% 172.28/26.62  | | | 
% 172.28/26.62  | | |   (119)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.28/26.62  | | | 
% 172.28/26.62  | | | BETA: splitting (119) gives:
% 172.28/26.62  | | | 
% 172.28/26.62  | | | Case 1:
% 172.28/26.62  | | | | 
% 172.28/26.63  | | | |   (120)  all_56_3 = e0
% 172.28/26.63  | | | | 
% 172.28/26.63  | | | | REF_CLOSE: (67), (87), (120) are inconsistent by sub-proof #283.
% 172.28/26.63  | | | | 
% 172.28/26.63  | | | Case 2:
% 172.28/26.63  | | | | 
% 172.28/26.63  | | | |   (121)   ~ (all_56_3 = e0)
% 172.28/26.63  | | | |   (122)  all_56_7 = e0 | all_56_13 = e0
% 172.28/26.63  | | | | 
% 172.28/26.63  | | | | BETA: splitting (117) gives:
% 172.28/26.63  | | | | 
% 172.28/26.63  | | | | Case 1:
% 172.28/26.63  | | | | | 
% 172.28/26.63  | | | | |   (123)  all_56_3 = e0
% 172.28/26.63  | | | | | 
% 172.28/26.63  | | | | | REF_CLOSE: (67), (87), (123) are inconsistent by sub-proof #283.
% 172.28/26.63  | | | | | 
% 172.28/26.63  | | | | Case 2:
% 172.28/26.63  | | | | | 
% 172.28/26.63  | | | | |   (124)  all_56_5 = e0 | all_56_10 = e0
% 172.28/26.63  | | | | | 
% 172.28/26.63  | | | | | BETA: splitting (122) gives:
% 172.28/26.63  | | | | | 
% 172.28/26.63  | | | | | Case 1:
% 172.28/26.63  | | | | | | 
% 172.28/26.63  | | | | | |   (125)  all_56_7 = e0
% 172.28/26.63  | | | | | | 
% 172.28/26.63  | | | | | | REF_CLOSE: (97), (110), (125) are inconsistent by sub-proof #518.
% 172.28/26.63  | | | | | | 
% 172.28/26.63  | | | | | Case 2:
% 172.28/26.63  | | | | | | 
% 172.28/26.63  | | | | | |   (126)  all_56_13 = e0
% 172.28/26.63  | | | | | | 
% 172.28/26.63  | | | | | | COMBINE_EQS: (57), (126) imply:
% 172.28/26.63  | | | | | |   (127)  all_52_7 = e0
% 172.28/26.63  | | | | | | 
% 172.28/26.63  | | | | | | SIMP: (127) implies:
% 172.28/26.63  | | | | | |   (128)  all_52_7 = e0
% 172.28/26.63  | | | | | | 
% 172.28/26.63  | | | | | | REDUCE: (14), (128) imply:
% 172.28/26.63  | | | | | |   (129)   ~ (all_52_3 = e0)
% 172.28/26.63  | | | | | | 
% 172.28/26.63  | | | | | | REDUCE: (16), (128) imply:
% 172.28/26.63  | | | | | |   (130)   ~ (all_10_1 = e0)
% 172.28/26.63  | | | | | | 
% 172.28/26.63  | | | | | | SIMP: (130) implies:
% 172.28/26.63  | | | | | |   (131)   ~ (all_10_1 = e0)
% 172.28/26.63  | | | | | | 
% 172.28/26.63  | | | | | | BETA: splitting (124) gives:
% 172.28/26.63  | | | | | | 
% 172.28/26.63  | | | | | | Case 1:
% 172.28/26.63  | | | | | | | 
% 172.28/26.63  | | | | | | |   (132)  all_56_5 = e0
% 172.28/26.63  | | | | | | | 
% 172.28/26.63  | | | | | | | REF_CLOSE: (8), (22), (132) are inconsistent by sub-proof #519.
% 172.28/26.63  | | | | | | | 
% 172.28/26.63  | | | | | | Case 2:
% 172.28/26.63  | | | | | | | 
% 172.28/26.63  | | | | | | |   (133)  all_56_10 = e0
% 172.28/26.63  | | | | | | | 
% 172.28/26.63  | | | | | | | COMBINE_EQS: (101), (133) imply:
% 172.28/26.63  | | | | | | |   (134)  all_52_13 = e0
% 172.28/26.63  | | | | | | | 
% 172.28/26.63  | | | | | | | SIMP: (134) implies:
% 172.28/26.63  | | | | | | |   (135)  all_52_13 = e0
% 172.28/26.63  | | | | | | | 
% 172.28/26.63  | | | | | | | COMBINE_EQS: (64), (135) imply:
% 172.28/26.63  | | | | | | |   (136)  all_58_29 = e0
% 172.28/26.63  | | | | | | | 
% 172.28/26.63  | | | | | | | REDUCE: (115), (135) imply:
% 172.28/26.63  | | | | | | |   (137)   ~ (all_52_12 = e0)
% 172.28/26.63  | | | | | | | 
% 172.28/26.63  | | | | | | | REDUCE: (52), (135) imply:
% 172.28/26.63  | | | | | | |   (138)   ~ (all_52_14 = e0)
% 172.28/26.63  | | | | | | | 
% 172.28/26.63  | | | | | | | SIMP: (138) implies:
% 172.28/26.63  | | | | | | |   (139)   ~ (all_52_14 = e0)
% 172.28/26.63  | | | | | | | 
% 172.28/26.63  | | | | | | | REDUCE: (45), (135) imply:
% 172.28/26.63  | | | | | | |   (140)   ~ (all_14_2 = e0)
% 172.28/26.63  | | | | | | | 
% 172.28/26.63  | | | | | | | SIMP: (140) implies:
% 172.28/26.63  | | | | | | |   (141)   ~ (all_14_2 = e0)
% 172.28/26.63  | | | | | | | 
% 172.28/26.63  | | | | | | | REDUCE: (18), (135) imply:
% 172.28/26.63  | | | | | | |   (142)   ~ (all_4_2 = e0)
% 172.28/26.63  | | | | | | | 
% 172.28/26.63  | | | | | | | GROUND_INST: instantiating (96) with all_52_3, all_6_1, e3, e0,
% 172.28/26.63  | | | | | | |              simplifying with (58), (62) gives:
% 172.28/26.63  | | | | | | |   (143)  all_52_3 = all_6_1
% 172.28/26.63  | | | | | | | 
% 172.28/26.63  | | | | | | | COMBINE_EQS: (98), (143) imply:
% 172.28/26.63  | | | | | | |   (144)  all_54_12 = all_6_1
% 172.28/26.63  | | | | | | | 
% 172.28/26.63  | | | | | | | COMBINE_EQS: (3), (143) imply:
% 172.28/26.63  | | | | | | |   (145)  all_56_12 = all_6_1
% 172.28/26.63  | | | | | | | 
% 172.28/26.63  | | | | | | | COMBINE_EQS: (34), (143) imply:
% 172.28/26.63  | | | | | | |   (146)  all_58_19 = all_6_1
% 172.28/26.63  | | | | | | | 
% 172.28/26.63  | | | | | | | REDUCE: (104), (143) imply:
% 172.28/26.63  | | | | | | |   (147)   ~ (all_52_1 = all_6_1)
% 172.28/26.63  | | | | | | | 
% 172.28/26.63  | | | | | | | REDUCE: (91), (143) imply:
% 172.28/26.63  | | | | | | |   (148)   ~ (all_52_2 = all_6_1)
% 172.28/26.63  | | | | | | | 
% 172.28/26.63  | | | | | | | REDUCE: (105), (143) imply:
% 172.28/26.63  | | | | | | |   (149)   ~ (all_10_1 = all_6_1)
% 172.28/26.63  | | | | | | | 
% 172.28/26.63  | | | | | | | SIMP: (149) implies:
% 172.28/26.63  | | | | | | |   (150)   ~ (all_10_1 = all_6_1)
% 172.28/26.63  | | | | | | | 
% 172.28/26.63  | | | | | | | REDUCE: (129), (143) imply:
% 172.28/26.63  | | | | | | |   (151)   ~ (all_6_1 = e0)
% 172.28/26.63  | | | | | | | 
% 172.28/26.63  | | | | | | | BETA: splitting (53) gives:
% 172.28/26.63  | | | | | | | 
% 172.28/26.63  | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | 
% 172.28/26.63  | | | | | | | |   (152)   ~ (all_48_2 = e1)
% 172.28/26.63  | | | | | | | | 
% 172.28/26.63  | | | | | | | | REDUCE: (20), (152) imply:
% 172.28/26.63  | | | | | | | |   (153)   ~ (all_14_2 = e1)
% 172.28/26.63  | | | | | | | | 
% 172.28/26.63  | | | | | | | | BETA: splitting (42) gives:
% 172.28/26.63  | | | | | | | | 
% 172.28/26.63  | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | 
% 172.28/26.63  | | | | | | | | |   (154)  all_54_15 = e0
% 172.28/26.63  | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | COMBINE_EQS: (79), (154) imply:
% 172.28/26.63  | | | | | | | | |   (155)  all_14_2 = e0
% 172.28/26.63  | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | REDUCE: (141), (155) imply:
% 172.28/26.63  | | | | | | | | |   (156)  $false
% 172.28/26.63  | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | CLOSE: (156) is inconsistent.
% 172.28/26.63  | | | | | | | | | 
% 172.28/26.63  | | | | | | | | Case 2:
% 172.28/26.63  | | | | | | | | | 
% 172.28/26.63  | | | | | | | | |   (157)   ~ (all_54_15 = e0)
% 172.28/26.63  | | | | | | | | |   (158)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 172.28/26.63  | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | BETA: splitting (17) gives:
% 172.28/26.63  | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | |   (159)  all_54_6 = e0
% 172.28/26.63  | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | REF_CLOSE: (15), (22), (159) are inconsistent by sub-proof
% 172.28/26.63  | | | | | | | | | |            #901.
% 172.28/26.63  | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | Case 2:
% 172.28/26.63  | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | |   (160)   ~ (all_54_6 = e0)
% 172.28/26.63  | | | | | | | | | |   (161)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 172.28/26.63  | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | BETA: splitting (37) gives:
% 172.28/26.63  | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | |   (162)  all_54_14 = e0
% 172.28/26.63  | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | REF_CLOSE: (48), (131), (162) are inconsistent by sub-proof
% 172.28/26.63  | | | | | | | | | | |            #282.
% 172.28/26.63  | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | Case 2:
% 172.28/26.63  | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | |   (163)   ~ (all_54_14 = e0)
% 172.28/26.63  | | | | | | | | | | |   (164)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 172.28/26.63  | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | BETA: splitting (112) gives:
% 172.28/26.63  | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | |   (165)  all_56_12 = e1
% 172.28/26.63  | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | COMBINE_EQS: (145), (165) imply:
% 172.28/26.63  | | | | | | | | | | | |   (166)  all_6_1 = e1
% 172.28/26.63  | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | SIMP: (166) implies:
% 172.28/26.63  | | | | | | | | | | | |   (167)  all_6_1 = e1
% 172.28/26.63  | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | COMBINE_EQS: (146), (167) imply:
% 172.28/26.63  | | | | | | | | | | | |   (168)  all_58_19 = e1
% 172.28/26.63  | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | REDUCE: (147), (167) imply:
% 172.28/26.63  | | | | | | | | | | | |   (169)   ~ (all_52_1 = e1)
% 172.28/26.63  | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | REDUCE: (148), (167) imply:
% 172.28/26.63  | | | | | | | | | | | |   (170)   ~ (all_52_2 = e1)
% 172.28/26.63  | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | REDUCE: (150), (167) imply:
% 172.28/26.63  | | | | | | | | | | | |   (171)   ~ (all_10_1 = e1)
% 172.28/26.63  | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | BETA: splitting (7) gives:
% 172.28/26.63  | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | |   (172)  all_58_19 = e0
% 172.28/26.63  | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | COMBINE_EQS: (168), (172) imply:
% 172.28/26.63  | | | | | | | | | | | | |   (173)  e1 = e0
% 172.28/26.63  | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | REDUCE: (108), (173) imply:
% 172.28/26.63  | | | | | | | | | | | | |   (174)  $false
% 172.28/26.63  | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | CLOSE: (174) is inconsistent.
% 172.28/26.63  | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | Case 2:
% 172.28/26.63  | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | |   (175)   ~ (all_58_19 = e0)
% 172.28/26.63  | | | | | | | | | | | | |   (176)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.28/26.63  | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | BETA: splitting (176) gives:
% 172.28/26.63  | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | |   (177)  all_58_18 = e1
% 172.28/26.63  | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | COMBINE_EQS: (54), (177) imply:
% 172.28/26.63  | | | | | | | | | | | | | |   (178)  all_52_2 = e1
% 172.28/26.63  | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | REDUCE: (170), (178) imply:
% 172.28/26.63  | | | | | | | | | | | | | |   (179)  $false
% 172.28/26.63  | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | CLOSE: (179) is inconsistent.
% 172.28/26.63  | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | Case 2:
% 172.28/26.63  | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | |   (180)   ~ (all_58_18 = e1)
% 172.28/26.63  | | | | | | | | | | | | | |   (181)  all_58_16 = e3 | all_58_17 = e2
% 172.28/26.63  | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 172.28/26.63  | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | |   (182)  all_58_17 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | COMBINE_EQS: (32), (182) imply:
% 172.28/26.63  | | | | | | | | | | | | | | |   (183)  all_52_1 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | COMBINE_EQS: (60), (183) imply:
% 172.28/26.63  | | | | | | | | | | | | | | |   (184)  all_56_2 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | REDUCE: (83), (183) imply:
% 172.28/26.63  | | | | | | | | | | | | | | |   (185)   ~ (all_52_9 = e2)
% 172.28/26.63  | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | SIMP: (185) implies:
% 172.28/26.63  | | | | | | | | | | | | | | |   (186)   ~ (all_52_9 = e2)
% 172.28/26.63  | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | REDUCE: (46), (183) imply:
% 172.28/26.63  | | | | | | | | | | | | | | |   (187)   ~ (all_4_2 = e2)
% 172.28/26.63  | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | SIMP: (187) implies:
% 172.28/26.63  | | | | | | | | | | | | | | |   (188)   ~ (all_4_2 = e2)
% 172.28/26.63  | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | BETA: splitting (29) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | |   (189)  all_58_27 = e0
% 172.28/26.63  | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | COMBINE_EQS: (89), (189) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | |   (190)  all_10_1 = e0
% 172.28/26.63  | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | REDUCE: (131), (190) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | |   (191)  $false
% 172.28/26.63  | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | CLOSE: (191) is inconsistent.
% 172.28/26.63  | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | Case 2:
% 172.28/26.63  | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | |   (192)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | BETA: splitting (19) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | |   (193)  all_56_0 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (102), (193) are inconsistent by sub-proof
% 172.28/26.63  | | | | | | | | | | | | | | | | |            #601.
% 172.28/26.63  | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.63  | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | |   (194)  all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | |   (195)  all_56_2 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (184), (195) are inconsistent by sub-proof
% 172.28/26.63  | | | | | | | | | | | | | | | | | |            #960.
% 172.28/26.63  | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | |   (196)  all_56_6 = e3 | all_56_12 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | |   (197)  all_56_6 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (82), (197) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | |   (198)  all_52_2 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | REDUCE: (36), (198) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | |   (199)   ~ (all_52_6 = e3)
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | SIMP: (199) implies:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | |   (200)   ~ (all_52_6 = e3)
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | |   (201)  all_58_26 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (41), (108), (201) are inconsistent by sub-proof
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | |            #312.
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | |   (202)  all_58_24 = e3 | all_58_25 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | |   (203)  all_58_25 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (94), (203) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | |   (204)  all_52_9 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | REDUCE: (186), (204) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | |   (205)  $false
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | CLOSE: (205) is inconsistent.
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | |   (206)  all_58_24 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (84), (206) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | |   (207)  all_52_8 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (71), (207) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | |   (208)  all_56_4 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (207) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | |   (209)   ~ (all_52_4 = e3)
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (207) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | |   (210)   ~ (all_52_12 = e3)
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | SIMP: (210) implies:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | |   (211)   ~ (all_52_12 = e3)
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (207) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | |   (212)   ~ (all_10_1 = e3)
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | SIMP: (212) implies:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | |   (213)   ~ (all_10_1 = e3)
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (66) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | |   (214)  all_56_1 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2), (214) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | |   (215)  all_52_4 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (209), (215) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | |   (216)  $false
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (216) is inconsistent.
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | |   (217)  all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | |   (218)  all_56_3 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (87), (218) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | |   (219)  all_4_2 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (100), (219) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | |   (220)  all_58_21 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (219) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | |   (221)   ~ (all_52_9 = e3)
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | |   (222)  all_56_12 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (165), (222) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | |   (223)  e3 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (223) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | |   (224)  $false
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (224) is inconsistent.
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | |   (225)  all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (21) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  all_58_31 = e0
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (141), (226) are inconsistent by sub-proof
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | |            #831.
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (227)   ~ (all_58_31 = e0)
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)  all_58_30 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (30), (229) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)  all_52_14 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (230) implies:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)  all_52_14 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (231) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)   ~ (all_52_6 = e1)
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (95) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  all_54_9 = e0
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (97), (233) are inconsistent by sub-proof
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #903.
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)   ~ (all_54_9 = e0)
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (236)  all_56_1 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2), (236) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (237)  all_52_4 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (237) implies:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (238)  all_52_4 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (78), (238) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (239)  all_58_20 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (238) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (240)   ~ (all_52_6 = e1)
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (44) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (241)  all_56_0 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (102), (241) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (242)  e2 = e0
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (103), (242) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (243)  $false
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (243) is inconsistent.
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (244)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (245)  all_56_1 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (236), (245) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (246)  e2 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (182), (246) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (247)  all_58_17 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (56), (63), (181), (247) are inconsistent by
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #635.
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  all_56_4 = e2 | all_56_9 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (68) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  all_56_6 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (197), (249) are inconsistent by sub-proof
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #792.
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (251)  all_54_14 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (171), (251) are inconsistent by sub-proof
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #281.
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  all_54_14 = e3 | all_54_14 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  all_56_7 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (110), (253) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  all_52_6 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (254) implies:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  all_52_6 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (86), (255) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  all_58_22 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  all_54_14 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (48), (257) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  all_10_1 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (258) implies:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  all_10_1 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (89), (259) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  all_58_27 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (213), (259) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)   ~ (e3 = e2)
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (31) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  all_56_9 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (35), (262) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  all_52_12 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (263) implies:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  all_52_12 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (106), (264) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  all_58_28 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1), (264) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)   ~ (all_14_2 = e2)
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (266) implies:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)   ~ (all_14_2 = e2)
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  all_54_6 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15), (268) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  all_52_9 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (269) implies:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  all_52_9 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (94), (270) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  all_58_25 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (221), (270) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)   ~ (e3 = e1)
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (186), (270) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)   ~ (e2 = e1)
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (114) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  all_58_31 = e0
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (141), (274) are inconsistent by sub-proof
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #831.
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)  all_54_15 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (79), (276) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)  all_14_2 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (277) implies:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  all_14_2 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11), (278) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  all_56_15 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (33), (63), (126), (213), (225), (279) are
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #299.
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)   ~ (all_54_15 = e1)
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  all_54_15 = e3 | all_54_15 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  all_54_15 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (79), (267), (282) are inconsistent by sub-proof
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #615.
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  all_54_15 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (79), (283) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  all_14_2 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (284) implies:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  all_14_2 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11), (285) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  all_56_15 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (275) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  all_58_26 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (41), (287) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  e1 = e0
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (288) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  $false
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (289) is inconsistent.
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_18 = e1 & all_58_20 = e3 & all_58_24 =
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_20 = e3 & all_58_28 = e0) | (all_58_17 =
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_17 = e3 & all_58_20 = e3 &
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_23 = e2 & all_58_29 = e2) | (all_58_17 =
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3) | (all_58_17 = e2 & all_58_19 = e3 &
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_20 = e2 & all_58_28 = e3) | (all_58_17 =
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_23 = e0 & all_58_29 = e0) | (all_58_17 =
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_19 = e0 & all_58_24 = e3 & all_58_28 =
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_24 = e3 & all_58_25 = e1) | (all_58_18 =
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_24 = e1 & all_58_28 = e3) | (all_58_18 =
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_18 =
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_28 = e3 & all_58_29 =
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 =
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 =
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_25 = e2 & all_58_29 =
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_22 = e2 & all_58_25 = e2 &
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e1 & all_58_30 = e1) | (all_58_22 =
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_22 = e1 & all_58_25 = e1 &
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_22 =
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_27 = e0 & all_58_29 = e2 & all_58_30 =
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_23 = e0 & all_58_27 = e1 &
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_29 = e0 & all_58_30 = e1) | (all_58_23 =
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0 & e1 = e0)
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  all_58_21 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (220), (291) are inconsistent by sub-proof
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #746.
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)   ~ (all_58_21 = e2)
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  all_58_16 = e3 | (all_58_17 = e3 & all_58_18 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_20 = e3 & all_58_24 = e1) | (all_58_17
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0) | (all_58_17 = e3 & all_58_20 =
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_18 = e1 & all_58_24
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 =
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e3 & all_58_29 = e0) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_19 = e0 & all_58_23
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_19 = e0 & all_58_28
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e3 = e0) | (all_58_22 = e2 & all_58_23 =
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_25 = e2 & all_58_29 = e0) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (293) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  all_58_16 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (56), (294) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  e3 = e0
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (295) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  $false
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (296) is inconsistent.
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)   ~ (all_58_16 = e3)
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (297) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)   ~ (e3 = e0)
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2)
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (303) implies:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  all_58_24 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  all_58_17 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (182), (305) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)  e3 = e2
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (206), (304) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  e3 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (307) implies:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  e3 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (308) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  e2 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (305), (308) imply:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  all_58_17 = e1
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (56), (63), (181), (310) are inconsistent by
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #635.
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_17 = e3 & all_58_20
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_22 = e2 & all_58_25 = e2)
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (312) implies:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  all_58_28 = e0
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (40), (103), (208), (236), (244), (262),
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (265), (313) are inconsistent by sub-proof #280.
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 &
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (314) implies:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  all_58_20 = e3
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  all_58_17 = e3
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (239), (315) imply:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  e3 = e1
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (317) implies:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  e3 = e1
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (318) imply:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  all_58_17 = e1
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (56), (63), (181), (319) are inconsistent by
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #635.
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3)
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (321) gives:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (322) implies:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  all_58_29 = e2
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (40), (103), (136), (208), (236), (244),
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (262), (323) are inconsistent by sub-proof #279.
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e3
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (324) implies:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  all_58_20 = e2
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (239), (325) imply:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  e2 = e1
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (56), (63), (181), (182), (326) are
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #634.
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (327) gives:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 &
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (328) implies:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  all_58_28 = e3
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  all_58_19 = e3
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (168), (330) imply:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  e3 = e1
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (56), (63), (181), (182), (265), (329),
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (331) are inconsistent by sub-proof #278.
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (332) implies:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  all_58_22 = e1
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (333) imply:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  e2 = e1
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (56), (63), (181), (182), (334) are
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #634.
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0)
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2)
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (337) gives:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (338) implies:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  all_58_20 = e2
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (239), (339) imply:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  e2 = e1
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (56), (63), (181), (182), (340) are
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #634.
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  all_58_17 = e2 & all_58_20 = e2 & e3 = e2
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (341) implies:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  all_58_20 = e2
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (239), (342) imply:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  e2 = e1
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (56), (63), (181), (182), (343) are
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #634.
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1)
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (344) gives:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (345) implies:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (346)  all_58_28 = e0
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (40), (103), (208), (236), (244), (262),
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (265), (346) are inconsistent by sub-proof #280.
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 &
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.28/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (347) implies:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  all_58_22 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (348) imply:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  e2 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (56), (63), (181), (182), (349) are
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #634.
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (350) gives:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3)
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (351) gives:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (352)  all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (352) implies:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (353)  all_58_27 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (56), (63), (181), (182), (260), (353) are
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #277.
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (354)  all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (354) implies:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (355)  all_58_28 = e3
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (356)  all_58_24 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (206), (356) imply:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (357)  e3 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (56), (63), (181), (182), (265), (355),
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (357) are inconsistent by sub-proof #278.
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (358)  (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (358) gives:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (359)  all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 &
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (359) implies:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  all_58_25 = e2
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (56), (63), (181), (182), (271), (360) are
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #276.
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (361)  all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (361) implies:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (362)  all_58_27 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (40), (103), (208), (236), (244), (260),
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (262), (362) are inconsistent by sub-proof #275.
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (365)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (366)  all_58_18 = e1 & all_58_24 = e1 & e3 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (366) implies:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (367)  all_58_24 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (206), (367) imply:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (368)  e3 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (368) implies:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (369)  e3 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (369) imply:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (370)  all_56_15 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (33), (63), (126), (213), (225), (370) are
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #299.
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (371)  (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (372)  all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (372) implies:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (373)  all_58_28 = e3
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (374)  all_58_19 = e3
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (168), (374) imply:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (375)  e3 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (56), (63), (181), (182), (265), (373),
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (375) are inconsistent by sub-proof #278.
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (376)  all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (376) implies:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (377)  all_58_27 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (40), (103), (208), (236), (244), (260),
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (262), (377) are inconsistent by sub-proof #275.
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (378)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (379)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1)
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (379) gives:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (380)  all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (380) implies:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (381)  all_58_29 = e2
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (40), (103), (136), (208), (236), (244),
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (262), (381) are inconsistent by sub-proof #279.
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (382)  all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (382) implies:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (383)  all_58_28 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (384)  all_58_27 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (384) imply:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (385)  e2 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (383) imply:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (386)  e2 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (386) imply:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (387)  e1 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (386) imply:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (388)  all_56_9 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (40), (103), (208), (236), (244), (388) are
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #430.
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (389)  (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (389) gives:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (390)  all_58_19 = e0 & all_58_28 = e0 & e3 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (390) implies:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (391)  all_58_28 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (40), (103), (208), (236), (244), (262),
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (265), (391) are inconsistent by sub-proof #280.
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (392)  all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (392) implies:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (393)  all_58_25 = e2
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (56), (63), (181), (182), (271), (393) are
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #276.
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (394)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (394) gives:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (395)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (395) gives:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (396)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2)
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (396) gives:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (397)  all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (397) implies:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (398)  all_58_27 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (56), (63), (181), (182), (260), (398) are
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #277.
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (399)  all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (399) implies:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (400)  all_58_29 = e2
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (40), (103), (136), (208), (236), (244),
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (262), (400) are inconsistent by sub-proof #279.
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (401)  (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (401) gives:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (402)  all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (402) implies:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (403)  all_58_27 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (40), (103), (208), (236), (244), (260),
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (262), (403) are inconsistent by sub-proof #275.
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (404)  all_58_22 = e1 & all_58_25 = e1 & e2 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (404) implies:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (405)  all_58_22 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (405) imply:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (406)  e2 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (56), (63), (181), (182), (406) are
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #634.
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (407)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (407) gives:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (408)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1)
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (408) gives:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (409)  all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (409) implies:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (410)  all_58_29 = e2
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (136), (410) imply:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (411)  e2 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (411) implies:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (412)  e2 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (412) imply:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (413)  all_56_9 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (40), (103), (208), (236), (244), (413) are
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #430.
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (414)  all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (414) implies:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (415)  all_58_27 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (56), (63), (181), (182), (260), (415) are
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #277.
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (416)  (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (416) gives:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (417)  all_58_23 = e0 & all_58_29 = e0 & e2 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (417) implies:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (418)  e2 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (418) imply:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (419)  all_56_9 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (40), (103), (208), (236), (244), (419) are
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #430.
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (420)  all_58_27 = e0 & all_58_30 = e0 & e1 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (420) implies:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (421)  all_58_27 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (40), (103), (208), (236), (244), (260),
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (262), (421) are inconsistent by sub-proof #275.
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (422)  all_54_6 = e3 | all_54_6 = e2
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (186), (221), (422) are inconsistent by
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #884.
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (423)   ~ (all_56_9 = e2)
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (38), (208), (248), (423) are inconsistent
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #274.
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (424)  all_54_14 = e3
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (48), (424) imply:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (425)  all_10_1 = e3
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (425) implies:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (426)  all_10_1 = e3
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (213), (426) imply:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (427)  $false
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (427) is inconsistent.
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (428)   ~ (all_56_7 = e2)
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (428) imply:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (429)   ~ (all_52_6 = e2)
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (200), (232), (235), (429) are inconsistent
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #861.
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (430)   ~ (all_56_1 = e1)
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (430) imply:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (431)   ~ (all_52_4 = e1)
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (23), (26), (49), (50), (95), (97), (200),
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (232), (431) are inconsistent by sub-proof
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #423.
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | |   (432)  all_58_28 = e3 | all_58_29 = e2
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (103), (106), (136), (211), (432) are inconsistent
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #869.
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | |   (433)  all_56_7 = e3 | all_56_13 = e3
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (433) gives:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | |   (434)  all_56_7 = e3
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (110), (434) imply:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | |   (435)  all_52_6 = e3
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (200), (435) imply:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | |   (436)  $false
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (436) is inconsistent.
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | |   (437)  all_56_13 = e3
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (126), (437) imply:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | |   (438)  e3 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (438) imply:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | |   (439)  $false
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (439) is inconsistent.
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | |   (440)  all_56_12 = e3
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (165), (440) imply:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | |   (441)  e3 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | REDUCE: (5), (441) imply:
% 172.38/26.64  | | | | | | | | | | | | | | | | | | |   (442)  $false
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | CLOSE: (442) is inconsistent.
% 172.38/26.64  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | |   (443)  all_58_16 = e3
% 172.38/26.64  | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | REF_CLOSE: (56), (63), (443) are inconsistent by sub-proof
% 172.38/26.64  | | | | | | | | | | | | | | |            #633.
% 172.38/26.64  | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | End of split
% 172.38/26.64  | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | |   (444)  all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.38/26.64  | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | BETA: splitting (444) gives:
% 172.38/26.64  | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | Case 1:
% 172.38/26.64  | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | |   (445)  all_56_13 = e1
% 172.38/26.64  | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | COMBINE_EQS: (126), (445) imply:
% 172.38/26.64  | | | | | | | | | | | | |   (446)  e1 = e0
% 172.38/26.64  | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | REDUCE: (108), (446) imply:
% 172.38/26.64  | | | | | | | | | | | | |   (447)  $false
% 172.38/26.64  | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | CLOSE: (447) is inconsistent.
% 172.38/26.64  | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | |   (448)  all_56_14 = e1 | all_56_15 = e1
% 172.38/26.64  | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | BETA: splitting (448) gives:
% 172.38/26.64  | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | Case 1:
% 172.38/26.64  | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | |   (449)  all_56_14 = e1
% 172.38/26.64  | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | COMBINE_EQS: (33), (449) imply:
% 172.38/26.64  | | | | | | | | | | | | | |   (450)  all_10_1 = e1
% 172.38/26.64  | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | SIMP: (450) implies:
% 172.38/26.64  | | | | | | | | | | | | | |   (451)  all_10_1 = e1
% 172.38/26.64  | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | REDUCE: (150), (451) imply:
% 172.38/26.64  | | | | | | | | | | | | | |   (452)   ~ (all_6_1 = e1)
% 172.38/26.64  | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | SIMP: (452) implies:
% 172.38/26.64  | | | | | | | | | | | | | |   (453)   ~ (all_6_1 = e1)
% 172.38/26.64  | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | REDUCE: (69), (451) imply:
% 172.38/26.64  | | | | | | | | | | | | | |   (454)  op(e1, e0) = all_10_0
% 172.38/26.64  | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | GROUND_INST: instantiating (96) with all_52_14, all_10_0, e0,
% 172.38/26.64  | | | | | | | | | | | | | |              e1, simplifying with (10), (454) gives:
% 172.38/26.64  | | | | | | | | | | | | | |   (455)  all_52_14 = all_10_0
% 172.38/26.64  | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | COMBINE_EQS: (27), (455) imply:
% 172.38/26.64  | | | | | | | | | | | | | |   (456)  all_56_11 = all_10_0
% 172.38/26.64  | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | COMBINE_EQS: (30), (455) imply:
% 172.38/26.64  | | | | | | | | | | | | | |   (457)  all_58_30 = all_10_0
% 172.38/26.64  | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | REDUCE: (99), (455) imply:
% 172.38/26.64  | | | | | | | | | | | | | |   (458)   ~ (all_52_2 = all_10_0)
% 172.38/26.64  | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | REDUCE: (85), (455) imply:
% 172.38/26.64  | | | | | | | | | | | | | |   (459)   ~ (all_52_12 = all_10_0)
% 172.38/26.64  | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | BETA: splitting (77) gives:
% 172.38/26.64  | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | Case 1:
% 172.38/26.64  | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | |   (460)  all_54_12 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | COMBINE_EQS: (144), (460) imply:
% 172.38/26.64  | | | | | | | | | | | | | | |   (461)  all_6_1 = e0
% 172.38/26.64  | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | REDUCE: (151), (461) imply:
% 172.38/26.64  | | | | | | | | | | | | | | |   (462)  $false
% 172.38/26.64  | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | CLOSE: (462) is inconsistent.
% 172.38/26.64  | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | Case 2:
% 172.38/26.64  | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | |   (463)   ~ (all_54_12 = e0)
% 172.38/26.64  | | | | | | | | | | | | | | |   (464)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | BETA: splitting (51) gives:
% 172.38/26.64  | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | Case 1:
% 172.38/26.64  | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | |   (465)  all_56_9 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | COMBINE_EQS: (35), (465) imply:
% 172.38/26.64  | | | | | | | | | | | | | | | |   (466)  all_52_12 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | SIMP: (466) implies:
% 172.38/26.64  | | | | | | | | | | | | | | | |   (467)  all_52_12 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | COMBINE_EQS: (106), (467) imply:
% 172.38/26.64  | | | | | | | | | | | | | | | |   (468)  all_58_28 = e1
% 172.38/26.64  | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | REDUCE: (459), (467) imply:
% 172.38/26.64  | | | | | | | | | | | | | | | |   (469)   ~ (all_10_0 = e1)
% 172.38/26.64  | | | | | | | | | | | | | | | | 
% 172.38/26.64  | | | | | | | | | | | | | | | | SIMP: (469) implies:
% 172.38/26.65  | | | | | | | | | | | | | | | |   (470)   ~ (all_10_0 = e1)
% 172.38/26.65  | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | BETA: splitting (21) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | |   (471)  all_58_31 = e0
% 172.38/26.65  | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | COMBINE_EQS: (24), (471) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | |   (472)  all_14_2 = e0
% 172.38/26.65  | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | REDUCE: (141), (472) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | |   (473)  $false
% 172.38/26.65  | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | CLOSE: (473) is inconsistent.
% 172.38/26.65  | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | |   (474)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | BETA: splitting (474) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | |   (475)  all_58_30 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (457), (475) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | |   (476)  all_10_0 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | REDUCE: (470), (476) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | |   (477)  $false
% 172.38/26.65  | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | CLOSE: (477) is inconsistent.
% 172.38/26.65  | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | |   (478)  all_58_28 = e3 | all_58_29 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | BETA: splitting (478) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | |   (479)  all_58_29 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (103), (136), (479) are inconsistent by sub-proof
% 172.38/26.65  | | | | | | | | | | | | | | | | | | |            #889.
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | |   (480)  all_58_28 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (468), (480) are inconsistent by sub-proof
% 172.38/26.65  | | | | | | | | | | | | | | | | | | |            #837.
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.65  | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | End of split
% 172.38/26.65  | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | End of split
% 172.38/26.65  | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | |   (481)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | BETA: splitting (481) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | |   (482)  all_56_10 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | COMBINE_EQS: (133), (482) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | |   (483)  e1 = e0
% 172.38/26.65  | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | REDUCE: (108), (483) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | |   (484)  $false
% 172.38/26.65  | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | CLOSE: (484) is inconsistent.
% 172.38/26.65  | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | |   (485)   ~ (all_56_10 = e1)
% 172.38/26.65  | | | | | | | | | | | | | | | | |   (486)  all_56_11 = e1 | all_56_15 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | REDUCE: (133), (485) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | |   (487)   ~ (e1 = e0)
% 172.38/26.65  | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | BETA: splitting (47) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | |   (488)  all_56_0 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | REF_CLOSE: (102), (108), (488) are inconsistent by sub-proof
% 172.38/26.65  | | | | | | | | | | | | | | | | | |            #603.
% 172.38/26.65  | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | |   (489)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | BETA: splitting (486) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | |   (490)  all_56_11 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (490) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | |   (491)  all_10_0 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | SIMP: (491) implies:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | |   (492)  all_10_0 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | REDUCE: (458), (492) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | |   (493)   ~ (all_52_2 = e1)
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (32), (40), (54), (56), (60), (63),
% 172.38/26.65  | | | | | | | | | | | | | | | | | | |            (82), (144), (145), (146), (147), (151), (453),
% 172.38/26.65  | | | | | | | | | | | | | | | | | | |            (464), (489), (493) are inconsistent by sub-proof
% 172.38/26.65  | | | | | | | | | | | | | | | | | | |            #500.
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | |   (494)  all_56_15 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (153), (494) are inconsistent by sub-proof
% 172.38/26.65  | | | | | | | | | | | | | | | | | | |            #876.
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.65  | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | End of split
% 172.38/26.65  | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | End of split
% 172.38/26.65  | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | End of split
% 172.38/26.65  | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | End of split
% 172.38/26.65  | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | |   (495)  all_56_15 = e1
% 172.38/26.65  | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | REF_CLOSE: (11), (153), (495) are inconsistent by sub-proof
% 172.38/26.65  | | | | | | | | | | | | | |            #876.
% 172.38/26.65  | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | End of split
% 172.38/26.65  | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | End of split
% 172.38/26.65  | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | End of split
% 172.38/26.65  | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | End of split
% 172.38/26.65  | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | End of split
% 172.38/26.65  | | | | | | | | | 
% 172.38/26.65  | | | | | | | | End of split
% 172.38/26.65  | | | | | | | | 
% 172.38/26.65  | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | 
% 172.38/26.65  | | | | | | | |   (496)  all_48_2 = e1
% 172.38/26.65  | | | | | | | | 
% 172.38/26.65  | | | | | | | | COMBINE_EQS: (20), (496) imply:
% 172.38/26.65  | | | | | | | |   (497)  all_14_2 = e1
% 172.38/26.65  | | | | | | | | 
% 172.38/26.65  | | | | | | | | SIMP: (497) implies:
% 172.38/26.65  | | | | | | | |   (498)  all_14_2 = e1
% 172.38/26.65  | | | | | | | | 
% 172.38/26.65  | | | | | | | | COMBINE_EQS: (11), (498) imply:
% 172.38/26.65  | | | | | | | |   (499)  all_56_15 = e1
% 172.38/26.65  | | | | | | | | 
% 172.38/26.65  | | | | | | | | COMBINE_EQS: (24), (498) imply:
% 172.38/26.65  | | | | | | | |   (500)  all_58_31 = e1
% 172.38/26.65  | | | | | | | | 
% 172.38/26.65  | | | | | | | | REDUCE: (1), (498) imply:
% 172.38/26.65  | | | | | | | |   (501)   ~ (all_52_12 = e1)
% 172.38/26.65  | | | | | | | | 
% 172.38/26.65  | | | | | | | | REDUCE: (93), (498) imply:
% 172.38/26.65  | | | | | | | |   (502)   ~ (all_52_14 = e1)
% 172.38/26.65  | | | | | | | | 
% 172.38/26.65  | | | | | | | | REDUCE: (80), (498) imply:
% 172.38/26.65  | | | | | | | |   (503)   ~ (all_10_1 = e1)
% 172.38/26.65  | | | | | | | | 
% 172.38/26.65  | | | | | | | | SIMP: (503) implies:
% 172.38/26.65  | | | | | | | |   (504)   ~ (all_10_1 = e1)
% 172.38/26.65  | | | | | | | | 
% 172.38/26.65  | | | | | | | | BETA: splitting (21) gives:
% 172.38/26.65  | | | | | | | | 
% 172.38/26.65  | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | 
% 172.38/26.65  | | | | | | | | |   (505)  all_58_31 = e0
% 172.38/26.65  | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | REF_CLOSE: (108), (500), (505) are inconsistent by sub-proof
% 172.38/26.65  | | | | | | | | |            #311.
% 172.38/26.65  | | | | | | | | | 
% 172.38/26.65  | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | 
% 172.38/26.65  | | | | | | | | |   (506)   ~ (all_58_31 = e0)
% 172.38/26.65  | | | | | | | | |   (507)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.38/26.65  | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | BETA: splitting (507) gives:
% 172.38/26.65  | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | |   (508)  all_58_30 = e1
% 172.38/26.65  | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | REF_CLOSE: (30), (502), (508) are inconsistent by sub-proof
% 172.38/26.65  | | | | | | | | | |            #552.
% 172.38/26.65  | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | |   (509)  all_58_28 = e3 | all_58_29 = e2
% 172.38/26.65  | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | BETA: splitting (509) gives:
% 172.38/26.65  | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | |   (510)  all_58_29 = e2
% 172.38/26.65  | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | COMBINE_EQS: (136), (510) imply:
% 172.38/26.65  | | | | | | | | | | |   (511)  e2 = e0
% 172.38/26.65  | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | REDUCE: (103), (511) imply:
% 172.38/26.65  | | | | | | | | | | |   (512)  $false
% 172.38/26.65  | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | CLOSE: (512) is inconsistent.
% 172.38/26.65  | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | |   (513)  all_58_28 = e3
% 172.38/26.65  | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | COMBINE_EQS: (106), (513) imply:
% 172.38/26.65  | | | | | | | | | | |   (514)  all_52_12 = e3
% 172.38/26.65  | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | SIMP: (514) implies:
% 172.38/26.65  | | | | | | | | | | |   (515)  all_52_12 = e3
% 172.38/26.65  | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | COMBINE_EQS: (35), (515) imply:
% 172.38/26.65  | | | | | | | | | | |   (516)  all_56_9 = e3
% 172.38/26.65  | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | REDUCE: (4), (515) imply:
% 172.38/26.65  | | | | | | | | | | |   (517)   ~ (all_52_8 = e3)
% 172.38/26.65  | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | BETA: splitting (29) gives:
% 172.38/26.65  | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | |   (518)  all_58_27 = e0
% 172.38/26.65  | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | COMBINE_EQS: (89), (518) imply:
% 172.38/26.65  | | | | | | | | | | | |   (519)  all_10_1 = e0
% 172.38/26.65  | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | REDUCE: (131), (519) imply:
% 172.38/26.65  | | | | | | | | | | | |   (520)  $false
% 172.38/26.65  | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | CLOSE: (520) is inconsistent.
% 172.38/26.65  | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | |   (521)   ~ (all_58_27 = e0)
% 172.38/26.65  | | | | | | | | | | | |   (522)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.38/26.65  | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | BETA: splitting (522) gives:
% 172.38/26.65  | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | |   (523)  all_58_26 = e1
% 172.38/26.65  | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | COMBINE_EQS: (41), (523) imply:
% 172.38/26.65  | | | | | | | | | | | | |   (524)  e1 = e0
% 172.38/26.65  | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | REDUCE: (108), (524) imply:
% 172.38/26.65  | | | | | | | | | | | | |   (525)  $false
% 172.38/26.65  | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | CLOSE: (525) is inconsistent.
% 172.38/26.65  | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | |   (526)  all_58_24 = e3 | all_58_25 = e2
% 172.38/26.65  | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | BETA: splitting (526) gives:
% 172.38/26.65  | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | |   (527)  all_58_25 = e2
% 172.38/26.65  | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | COMBINE_EQS: (94), (527) imply:
% 172.38/26.65  | | | | | | | | | | | | | |   (528)  all_52_9 = e2
% 172.38/26.65  | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | SIMP: (528) implies:
% 172.38/26.65  | | | | | | | | | | | | | |   (529)  all_52_9 = e2
% 172.38/26.65  | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | REDUCE: (83), (529) imply:
% 172.38/26.65  | | | | | | | | | | | | | |   (530)   ~ (all_52_1 = e2)
% 172.38/26.65  | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | REDUCE: (59), (529) imply:
% 172.38/26.65  | | | | | | | | | | | | | |   (531)   ~ (all_52_8 = e2)
% 172.38/26.65  | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | REDUCE: (74), (529) imply:
% 172.38/26.65  | | | | | | | | | | | | | |   (532)   ~ (all_10_1 = e2)
% 172.38/26.65  | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | SIMP: (532) implies:
% 172.38/26.65  | | | | | | | | | | | | | |   (533)   ~ (all_10_1 = e2)
% 172.38/26.65  | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | BETA: splitting (7) gives:
% 172.38/26.65  | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | |   (534)  all_58_19 = e0
% 172.38/26.65  | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | COMBINE_EQS: (146), (534) imply:
% 172.38/26.65  | | | | | | | | | | | | | | |   (535)  all_6_1 = e0
% 172.38/26.65  | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | REDUCE: (151), (535) imply:
% 172.38/26.65  | | | | | | | | | | | | | | |   (536)  $false
% 172.38/26.65  | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | CLOSE: (536) is inconsistent.
% 172.38/26.65  | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | |   (537)   ~ (all_58_19 = e0)
% 172.38/26.65  | | | | | | | | | | | | | | |   (538)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | BETA: splitting (538) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | |   (539)  all_58_18 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | COMBINE_EQS: (54), (539) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | |   (540)  all_52_2 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | SIMP: (540) implies:
% 172.38/26.65  | | | | | | | | | | | | | | | |   (541)  all_52_2 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | REDUCE: (65), (541) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | |   (542)   ~ (all_52_1 = e1)
% 172.38/26.65  | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | REDUCE: (36), (541) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | |   (543)   ~ (all_52_6 = e1)
% 172.38/26.65  | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | SIMP: (543) implies:
% 172.38/26.65  | | | | | | | | | | | | | | | |   (544)   ~ (all_52_6 = e1)
% 172.38/26.65  | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | REDUCE: (99), (541) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | |   (545)   ~ (all_52_14 = e1)
% 172.38/26.65  | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | REDUCE: (148), (541) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | |   (546)   ~ (all_6_1 = e1)
% 172.38/26.65  | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | SIMP: (546) implies:
% 172.38/26.65  | | | | | | | | | | | | | | | |   (547)   ~ (all_6_1 = e1)
% 172.38/26.65  | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | BETA: splitting (81) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | |   (548)  all_54_4 = e0
% 172.38/26.65  | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | REF_CLOSE: (90), (109), (548) are inconsistent by sub-proof
% 172.38/26.65  | | | | | | | | | | | | | | | | |            #902.
% 172.38/26.65  | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | |   (549)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | BETA: splitting (37) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | |   (550)  all_54_14 = e0
% 172.38/26.65  | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (131), (550) are inconsistent by sub-proof
% 172.38/26.65  | | | | | | | | | | | | | | | | | |            #282.
% 172.38/26.65  | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | |   (551)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | BETA: splitting (113) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | |   (552)  all_56_12 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (145), (552) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | |   (553)  all_6_1 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (146), (553) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | |   (554)  all_58_19 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | BETA: splitting (551) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | |   (555)  all_54_14 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (504), (555) are inconsistent by sub-proof
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | |            #281.
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | |   (556)  all_54_14 = e3 | all_54_14 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | BETA: splitting (31) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | |   (557)  all_56_9 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (516), (557) are inconsistent by sub-proof
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | |            #835.
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | |   (558)   ~ (all_56_9 = e2)
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | |   (559)  all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (549) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | |   (560)  all_54_4 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (109), (542), (560) are inconsistent by sub-proof
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | |            #872.
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | |   (561)  all_54_4 = e3 | all_54_4 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | |   (562)  all_56_4 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (71), (562) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | |   (563)  all_52_8 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (563) implies:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | |   (564)  all_52_8 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (84), (564) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | |   (565)  all_58_24 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (564) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | |   (566)   ~ (all_52_4 = e1)
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | |   (567)  all_56_1 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (566), (567) are inconsistent by sub-proof
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | |            #513.
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | |   (568)   ~ (all_56_1 = e1)
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | |   (569)  all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (44) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (570)  all_56_0 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (102), (570) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (571)  e2 = e0
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (103), (571) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (572)  $false
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (572) is inconsistent.
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (573)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (561) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | |   (574)  all_54_4 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (109), (530), (574) are inconsistent by sub-proof
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | |            #882.
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | |   (575)  all_54_4 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (109), (575) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | |   (576)  all_52_1 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (576) implies:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | |   (577)  all_52_1 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (32), (577) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | |   (578)  all_58_17 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (569) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (579)  all_56_3 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (87), (579) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (580)  all_4_2 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (580) implies:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (581)  all_4_2 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (100), (581) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (582)  all_58_21 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (114) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (583)  all_58_31 = e0
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (108), (500), (583) are inconsistent by sub-proof
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #311.
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (584)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (556) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (585)  all_54_14 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (533), (585) are inconsistent by sub-proof
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #273.
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (586)  all_54_14 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (48), (586) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (587)  all_10_1 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (587) implies:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (588)  all_10_1 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (89), (588) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (589)  all_58_27 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (573) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (590)  all_56_1 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2), (590) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (591)  all_52_4 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (591) implies:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (592)  all_52_4 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (78), (592) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (593)  all_58_20 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (592) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (594)   ~ (all_52_6 = e2)
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (594) implies:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (595)   ~ (all_52_6 = e2)
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (95) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (596)  all_54_9 = e0
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (97), (596) are inconsistent by sub-proof
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #903.
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (597)   ~ (all_54_9 = e0)
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (598)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (559) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (599)  all_56_10 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (133), (599) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (600)  e2 = e0
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (103), (600) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (601)  $false
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (601) is inconsistent.
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (602)  all_56_11 = e2 | all_56_15 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (598) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (603)  all_54_9 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (544), (603) are inconsistent by sub-proof
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #900.
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (604)   ~ (all_54_9 = e1)
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (605)  all_54_9 = e3 | all_54_9 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (605) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (606)  all_54_9 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (595), (606) are inconsistent by sub-proof
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #899.
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (607)  all_54_9 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (50), (607) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (608)  all_52_6 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (608) implies:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (609)  all_52_6 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (86), (609) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (610)  all_58_22 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (609) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (611)   ~ (all_52_14 = e3)
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (611) implies:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (612)   ~ (all_52_14 = e3)
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (602) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (613)  all_56_11 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (27), (613) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (614)  all_52_14 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (30), (614) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (615)  all_58_30 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (612), (614) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (616)   ~ (e3 = e2)
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (584) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (617)  all_58_26 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (41), (617) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (618)  e1 = e0
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (618) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (619)  $false
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (619) is inconsistent.
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (620)   ~ (all_58_26 = e1)
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (621)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_18 = e1 & all_58_20 = e3 & all_58_24 =
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_20 = e3 & all_58_28 = e0) | (all_58_17 =
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_17 = e3 & all_58_20 = e3 &
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_23 = e2 & all_58_29 = e2) | (all_58_17 =
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3) | (all_58_17 = e2 & all_58_19 = e3 &
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_20 = e2 & all_58_28 = e3) | (all_58_17 =
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_23 = e0 & all_58_29 = e0) | (all_58_17 =
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_19 = e0 & all_58_24 = e3 & all_58_28 =
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_24 = e3 & all_58_25 = e1) | (all_58_18 =
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_24 = e1 & all_58_28 = e3) | (all_58_18 =
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_18 =
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_28 = e3 & all_58_29 =
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 =
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 =
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_25 = e2 & all_58_29 =
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_22 = e2 & all_58_25 = e2 &
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e1 & all_58_30 = e1) | (all_58_22 =
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_22 = e1 & all_58_25 = e1 &
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_22 =
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_27 = e0 & all_58_29 = e2 & all_58_30 =
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_23 = e0 & all_58_27 = e1 &
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_29 = e0 & all_58_30 = e1) | (all_58_23 =
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0 & e1 = e0)
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (620) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (622)   ~ (e1 = e0)
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (621) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (623)  all_58_21 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (582), (623) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (624)  e2 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (624) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (625)  $false
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (625) is inconsistent.
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (626)  all_58_16 = e3 | (all_58_17 = e3 & all_58_18 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_20 = e3 & all_58_24 = e1) | (all_58_17
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0) | (all_58_17 = e3 & all_58_20 =
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_18 = e1 & all_58_24
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 =
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e3 & all_58_29 = e0) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_19 = e0 & all_58_23
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_19 = e0 & all_58_28
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e3 = e0) | (all_58_22 = e2 & all_58_23 =
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_25 = e2 & all_58_29 = e0) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (626) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (627)  all_58_16 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (56), (627) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (628)  e3 = e0
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (628) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (629)  $false
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (629) is inconsistent.
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (630)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (630) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (631)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (631) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (632)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (632) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (633)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2)
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (633) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (634)  all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e1
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (634) implies:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (635)  all_58_20 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (593), (635) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (636)  e3 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (636) implies:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (637)  e3 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (637) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (638)  $false
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (638) is inconsistent.
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (639)  (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_17 = e3 & all_58_20
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_22 = e2 & all_58_25 = e2)
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (639) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (640)  all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (640) implies:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (641)  all_58_28 = e0
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (642)  all_58_20 = e3
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (593), (642) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (643)  e3 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (643) implies:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (644)  e3 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (513), (641) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (645)  e3 = e0
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (644), (645) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (646)  e2 = e0
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (103), (646) imply:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (647)  $false
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (647) is inconsistent.
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (648)  all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 &
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (648) implies:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (649)  all_58_22 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (610), (649) are inconsistent by sub-proof
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #272.
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (650)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (650) gives:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (651)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3)
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (651) gives:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (652)  all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (652) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (653)  all_58_29 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (103), (136), (653) are inconsistent by sub-proof
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #374.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (654)  all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e3
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (654) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (655)  all_58_24 = e3
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (565), (655) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (656)  e3 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (513), (656) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (657)  all_58_28 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (103), (136), (509), (657) are inconsistent
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (658)  (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (658) gives:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (659)  all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 &
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (659) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (660)  all_58_19 = e3
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (554), (660) are inconsistent by sub-proof
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #271.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (661)  all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (661) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (662)  all_58_22 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (663)  all_58_17 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (578), (663) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (664)  e3 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (664) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (665)  e3 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (610), (662) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (666)  e3 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (666) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (667)  e3 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (665), (667) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (668)  e2 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (513), (667) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (669)  all_58_28 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (103), (136), (509), (669) are inconsistent
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (670)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0)
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (670) gives:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (671)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (671) gives:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (672)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2)
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (672) gives:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (673)  all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (673) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (674)  all_58_17 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (578), (674) are inconsistent by sub-proof
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #620.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (675)  all_58_17 = e2 & all_58_20 = e2 & e3 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (675) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (676)  all_58_17 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (578), (676) are inconsistent by sub-proof
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #620.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (677)  (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1)
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (677) gives:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (678)  all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (678) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (679)  all_58_28 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (680)  all_58_24 = e3
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (565), (680) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (681)  e3 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (108), (513), (679), (681) are inconsistent by
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #270.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (682)  all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 &
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (682) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (683)  all_58_24 = e3
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (565), (683) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (684)  e3 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (513), (684) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (685)  all_58_28 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (103), (136), (509), (685) are inconsistent
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (686)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (686) gives:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (687)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3)
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (687) gives:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (688)  all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (688) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (689)  all_58_27 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (689) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (690)  e3 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (513), (690) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (691)  all_58_28 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (103), (136), (509), (691) are inconsistent
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (692)  all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (692) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (693)  all_58_19 = e3
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (554), (693) are inconsistent by sub-proof
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #271.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (694)  (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (694) gives:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (695)  all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 &
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (695) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (696)  all_58_22 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (610), (696) are inconsistent by sub-proof
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #272.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (697)  all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (697) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (698)  all_58_30 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (615), (698) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (699)  e2 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (103), (699) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (700)  $false
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (700) is inconsistent.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (701)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (701) gives:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (702)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (702) gives:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (703)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (703) gives:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (704)  all_58_18 = e1 & all_58_24 = e1 & e3 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (704) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (705)  e3 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (513), (705) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (706)  all_58_28 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (103), (136), (509), (706) are inconsistent
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (707)  (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (707) gives:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (708)  all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (708) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (709)  all_58_19 = e3
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (554), (709) are inconsistent by sub-proof
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #271.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (710)  all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (710) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (711)  all_58_27 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (712)  all_58_19 = e3
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (712) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (713)  e3 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (713) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (714)  e3 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (711) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (715)  e3 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (714), (715) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (716)  e2 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (103), (716) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (717)  $false
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (717) is inconsistent.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (718)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (718) gives:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (719)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1)
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (719) gives:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (720)  all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (720) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (721)  all_58_29 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (103), (136), (721) are inconsistent by sub-proof
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #374.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (722)  all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (722) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (723)  all_58_30 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (724)  all_58_19 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (724) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (725)  e2 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (615), (723) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (726)  e2 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (108), (725), (726) are inconsistent by sub-proof
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #308.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (727)  (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (727) gives:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (728)  all_58_19 = e0 & all_58_28 = e0 & e3 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (728) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (729)  all_58_19 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (554), (729) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (730)  e2 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (103), (730) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (731)  $false
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (731) is inconsistent.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (732)  all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (732) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (733)  all_58_22 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (610), (733) are inconsistent by sub-proof
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #272.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (734)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (734) gives:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (735)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (735) gives:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (736)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2)
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (736) gives:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (737)  all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (737) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (738)  all_58_27 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (738) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (739)  e3 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (513), (739) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (740)  all_58_28 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (103), (136), (509), (740) are inconsistent
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (741)  all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (741) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (742)  all_58_29 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (743)  all_58_25 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (527), (743) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (744)  e2 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (744) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (745)  e2 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (136), (742) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (746)  e2 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (746) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (747)  e2 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (108), (745), (747) are inconsistent by sub-proof
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #308.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (748)  (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (748) gives:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (749)  all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (108), (527), (615), (749) are inconsistent by
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #291.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (750)  all_58_22 = e1 & all_58_25 = e1 & e2 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (750) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (751)  all_58_22 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (610), (751) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (752)  e3 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (752) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (753)  e3 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (513), (753) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (754)  all_58_28 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (103), (136), (509), (754) are inconsistent
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (755)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (755) gives:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (756)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1)
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (756) gives:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (757)  all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (103), (615), (757) are inconsistent by sub-proof
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #290.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (758)  all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (758) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (759)  all_58_27 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (759) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (760)  e3 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (513), (760) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (761)  all_58_28 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (103), (136), (509), (761) are inconsistent
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (762)  (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (762) gives:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (763)  all_58_23 = e0 & all_58_29 = e0 & e2 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (763) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (764)  e2 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (103), (764) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (765)  $false
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (765) is inconsistent.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (766)  all_58_27 = e0 & all_58_30 = e0 & e1 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (766) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (767)  e1 = e0
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (767) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (768)  $false
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (768) is inconsistent.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (769)  all_56_15 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (769) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (770)  e2 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (770) implies:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (771)  e2 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (771) imply:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (772)  $false
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (772) is inconsistent.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (773)  all_56_4 = e2 | all_56_9 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (71), (516), (531), (773) are inconsistent
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #502.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (774)  all_56_7 = e1 | all_56_13 = e1
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (108), (110), (126), (544), (774) are inconsistent
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #661.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | |   (775)   ~ (all_56_4 = e1)
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (38), (40), (44), (71), (88), (102), (103),
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | |            (108), (516), (531), (775) are inconsistent by
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #501.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | |   (776)  all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (40), (103), (126), (499), (533), (776) are
% 172.38/26.66  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #269.
% 172.38/26.66  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | |   (777)  all_58_16 = e3 | all_58_17 = e2
% 172.38/26.66  | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | | REF_CLOSE: (32), (56), (63), (530), (777) are inconsistent by
% 172.38/26.66  | | | | | | | | | | | | | | | |            sub-proof #608.
% 172.38/26.66  | | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | Case 2:
% 172.38/26.66  | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | |   (778)  all_58_24 = e3
% 172.38/26.66  | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | | REF_CLOSE: (84), (517), (778) are inconsistent by sub-proof
% 172.38/26.66  | | | | | | | | | | | | | |            #286.
% 172.38/26.66  | | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | | 
% 172.38/26.66  | | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | | 
% 172.38/26.66  | | | | | | | | End of split
% 172.38/26.66  | | | | | | | | 
% 172.38/26.66  | | | | | | | End of split
% 172.38/26.66  | | | | | | | 
% 172.38/26.66  | | | | | | End of split
% 172.38/26.66  | | | | | | 
% 172.38/26.66  | | | | | End of split
% 172.38/26.66  | | | | | 
% 172.38/26.66  | | | | End of split
% 172.38/26.66  | | | | 
% 172.38/26.66  | | | End of split
% 172.38/26.66  | | | 
% 172.38/26.66  | | End of split
% 172.38/26.66  | | 
% 172.38/26.66  | End of split
% 172.38/26.66  | 
% 172.38/26.66  End of proof
% 172.38/26.66  
% 172.38/26.66  Sub-proof #269 shows that the following formulas are inconsistent:
% 172.38/26.66  ----------------------------------------------------------------
% 172.38/26.66    (1)   ~ (all_10_1 = e2)
% 172.38/26.66    (2)  all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 172.38/26.66    (3)  all_56_14 = all_10_1
% 172.38/26.66    (4)   ~ (e2 = e1)
% 172.38/26.66    (5)  all_56_13 = e0
% 172.38/26.66    (6)   ~ (e2 = e0)
% 172.38/26.66    (7)  all_56_15 = e1
% 172.38/26.66  
% 172.38/26.66  Begin of proof
% 172.38/26.66  | 
% 172.38/26.66  | BETA: splitting (2) gives:
% 172.38/26.66  | 
% 172.38/26.66  | Case 1:
% 172.38/26.66  | | 
% 172.38/26.66  | |   (8)  all_56_13 = e2
% 172.38/26.66  | | 
% 172.38/26.66  | | COMBINE_EQS: (5), (8) imply:
% 172.38/26.66  | |   (9)  e2 = e0
% 172.38/26.66  | | 
% 172.38/26.66  | | REDUCE: (6), (9) imply:
% 172.38/26.66  | |   (10)  $false
% 172.38/26.66  | | 
% 172.38/26.66  | | CLOSE: (10) is inconsistent.
% 172.38/26.66  | | 
% 172.38/26.66  | Case 2:
% 172.38/26.66  | | 
% 172.38/26.66  | |   (11)  all_56_14 = e2 | all_56_15 = e2
% 172.38/26.66  | | 
% 172.38/26.66  | | BETA: splitting (11) gives:
% 172.38/26.66  | | 
% 172.38/26.66  | | Case 1:
% 172.38/26.66  | | | 
% 172.38/26.66  | | |   (12)  all_56_14 = e2
% 172.38/26.66  | | | 
% 172.38/26.66  | | | COMBINE_EQS: (3), (12) imply:
% 172.38/26.66  | | |   (13)  all_10_1 = e2
% 172.38/26.66  | | | 
% 172.38/26.66  | | | SIMP: (13) implies:
% 172.38/26.66  | | |   (14)  all_10_1 = e2
% 172.38/26.66  | | | 
% 172.38/26.66  | | | REDUCE: (1), (14) imply:
% 172.38/26.66  | | |   (15)  $false
% 172.38/26.66  | | | 
% 172.38/26.66  | | | CLOSE: (15) is inconsistent.
% 172.38/26.66  | | | 
% 172.38/26.66  | | Case 2:
% 172.38/26.66  | | | 
% 172.38/26.66  | | |   (16)  all_56_15 = e2
% 172.38/26.66  | | | 
% 172.38/26.66  | | | COMBINE_EQS: (7), (16) imply:
% 172.38/26.66  | | |   (17)  e2 = e1
% 172.38/26.66  | | | 
% 172.38/26.66  | | | REDUCE: (4), (17) imply:
% 172.38/26.66  | | |   (18)  $false
% 172.38/26.66  | | | 
% 172.38/26.66  | | | CLOSE: (18) is inconsistent.
% 172.38/26.66  | | | 
% 172.38/26.66  | | End of split
% 172.38/26.66  | | 
% 172.38/26.66  | End of split
% 172.38/26.66  | 
% 172.38/26.66  End of proof
% 172.38/26.66  
% 172.38/26.66  Sub-proof #270 shows that the following formulas are inconsistent:
% 172.38/26.66  ----------------------------------------------------------------
% 172.38/26.66    (1)  all_58_28 = e0
% 172.38/26.66    (2)  all_58_28 = e3
% 172.38/26.66    (3)  e3 = e1
% 172.38/26.66    (4)   ~ (e1 = e0)
% 172.38/26.66  
% 172.38/26.66  Begin of proof
% 172.38/26.66  | 
% 172.38/26.66  | COMBINE_EQS: (1), (2) imply:
% 172.38/26.66  |   (5)  e3 = e0
% 172.38/26.66  | 
% 172.38/26.66  | COMBINE_EQS: (3), (5) imply:
% 172.38/26.66  |   (6)  e1 = e0
% 172.38/26.66  | 
% 172.38/26.66  | REDUCE: (4), (6) imply:
% 172.38/26.66  |   (7)  $false
% 172.38/26.66  | 
% 172.38/26.66  | CLOSE: (7) is inconsistent.
% 172.38/26.66  | 
% 172.38/26.66  End of proof
% 172.38/26.66  
% 172.38/26.66  Sub-proof #271 shows that the following formulas are inconsistent:
% 172.38/26.66  ----------------------------------------------------------------
% 172.38/26.66    (1)  all_58_19 = e3
% 172.38/26.66    (2)  all_58_19 = e2
% 172.38/26.66    (3)   ~ (e3 = e2)
% 172.38/26.66  
% 172.38/26.66  Begin of proof
% 172.38/26.66  | 
% 172.38/26.66  | COMBINE_EQS: (1), (2) imply:
% 172.38/26.66  |   (4)  e3 = e2
% 172.38/26.66  | 
% 172.38/26.66  | SIMP: (4) implies:
% 172.38/26.66  |   (5)  e3 = e2
% 172.38/26.66  | 
% 172.38/26.66  | REDUCE: (3), (5) imply:
% 172.38/26.66  |   (6)  $false
% 172.38/26.66  | 
% 172.38/26.66  | CLOSE: (6) is inconsistent.
% 172.38/26.66  | 
% 172.38/26.66  End of proof
% 172.38/26.66  
% 172.38/26.66  Sub-proof #272 shows that the following formulas are inconsistent:
% 172.38/26.66  ----------------------------------------------------------------
% 172.38/26.66    (1)  all_58_22 = e3
% 172.38/26.66    (2)  all_58_22 = e2
% 172.38/26.66    (3)   ~ (e3 = e2)
% 172.38/26.66  
% 172.38/26.66  Begin of proof
% 172.38/26.66  | 
% 172.38/26.66  | COMBINE_EQS: (1), (2) imply:
% 172.38/26.66  |   (4)  e3 = e2
% 172.38/26.66  | 
% 172.38/26.66  | SIMP: (4) implies:
% 172.38/26.66  |   (5)  e3 = e2
% 172.38/26.66  | 
% 172.38/26.66  | REDUCE: (3), (5) imply:
% 172.38/26.66  |   (6)  $false
% 172.38/26.66  | 
% 172.38/26.66  | CLOSE: (6) is inconsistent.
% 172.38/26.66  | 
% 172.38/26.66  End of proof
% 172.38/26.66  
% 172.38/26.66  Sub-proof #273 shows that the following formulas are inconsistent:
% 172.38/26.66  ----------------------------------------------------------------
% 172.38/26.66    (1)  all_54_14 = all_10_1
% 172.38/26.66    (2)  all_54_14 = e2
% 172.38/26.66    (3)   ~ (all_10_1 = e2)
% 172.38/26.66  
% 172.38/26.66  Begin of proof
% 172.38/26.66  | 
% 172.38/26.66  | COMBINE_EQS: (1), (2) imply:
% 172.38/26.66  |   (4)  all_10_1 = e2
% 172.38/26.66  | 
% 172.38/26.66  | SIMP: (4) implies:
% 172.38/26.66  |   (5)  all_10_1 = e2
% 172.38/26.66  | 
% 172.38/26.66  | REDUCE: (3), (5) imply:
% 172.38/26.66  |   (6)  $false
% 172.38/26.66  | 
% 172.38/26.66  | CLOSE: (6) is inconsistent.
% 172.38/26.66  | 
% 172.38/26.66  End of proof
% 172.38/26.66  
% 172.38/26.66  Sub-proof #274 shows that the following formulas are inconsistent:
% 172.38/26.66  ----------------------------------------------------------------
% 172.38/26.66    (1)  all_56_4 = e3
% 172.38/26.66    (2)  all_56_4 = e2 | all_56_9 = e2
% 172.38/26.66    (3)  all_56_9 = all_52_12
% 172.38/26.66    (4)   ~ (e3 = e2)
% 172.38/26.66    (5)   ~ (all_56_9 = e2)
% 172.38/26.66  
% 172.38/26.66  Begin of proof
% 172.38/26.66  | 
% 172.38/26.66  | REDUCE: (3), (5) imply:
% 172.38/26.66  |   (6)   ~ (all_52_12 = e2)
% 172.38/26.66  | 
% 172.38/26.66  | BETA: splitting (2) gives:
% 172.38/26.66  | 
% 172.38/26.66  | Case 1:
% 172.38/26.66  | | 
% 172.38/26.66  | |   (7)  all_56_4 = e2
% 172.38/26.66  | | 
% 172.38/26.66  | | REF_CLOSE: (1), (4), (7) are inconsistent by sub-proof #978.
% 172.38/26.66  | | 
% 172.38/26.66  | Case 2:
% 172.38/26.66  | | 
% 172.38/26.66  | |   (8)  all_56_9 = e2
% 172.38/26.66  | | 
% 172.38/26.66  | | REF_CLOSE: (3), (6), (8) are inconsistent by sub-proof #322.
% 172.38/26.66  | | 
% 172.38/26.66  | End of split
% 172.38/26.66  | 
% 172.38/26.66  End of proof
% 172.38/26.66  
% 172.38/26.66  Sub-proof #275 shows that the following formulas are inconsistent:
% 172.38/26.66  ----------------------------------------------------------------
% 172.38/26.66    (1)  all_56_4 = e3
% 172.38/26.66    (2)  all_58_27 = e2
% 172.38/26.66    (3)  all_56_1 = e1
% 172.38/26.66    (4)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.38/26.66    (5)   ~ (e3 = e2)
% 172.38/26.66    (6)   ~ (e2 = e1)
% 172.38/26.66    (7)  all_56_9 = e2
% 172.38/26.66    (8)  all_58_27 = e0
% 172.38/26.66    (9)   ~ (e2 = e0)
% 172.38/26.66  
% 172.38/26.66  Begin of proof
% 172.38/26.66  | 
% 172.38/26.66  | COMBINE_EQS: (2), (8) imply:
% 172.38/26.66  |   (10)  e2 = e0
% 172.38/26.66  | 
% 172.38/26.66  | COMBINE_EQS: (7), (10) imply:
% 172.38/26.66  |   (11)  all_56_9 = e0
% 172.38/26.66  | 
% 172.38/26.66  | REF_CLOSE: (1), (3), (4), (5), (6), (9), (11) are inconsistent by sub-proof
% 172.38/26.66  |            #430.
% 172.38/26.66  | 
% 172.38/26.66  End of proof
% 172.38/26.66  
% 172.38/26.66  Sub-proof #276 shows that the following formulas are inconsistent:
% 172.38/26.66  ----------------------------------------------------------------
% 172.38/26.66    (1)  all_58_25 = e1
% 172.38/26.66    (2)   ~ (e2 = e1)
% 172.38/26.66    (3)  all_58_16 = e0
% 172.38/26.66    (4)   ~ (e3 = e0)
% 172.38/26.66    (5)  all_58_17 = e2
% 172.38/26.66    (6)  all_58_16 = e3 | all_58_17 = e2
% 172.38/26.66    (7)  all_58_25 = e2
% 172.38/26.66  
% 172.38/26.66  Begin of proof
% 172.38/26.66  | 
% 172.38/26.66  | COMBINE_EQS: (1), (7) imply:
% 172.38/26.66  |   (8)  e2 = e1
% 172.38/26.66  | 
% 172.38/26.66  | COMBINE_EQS: (5), (8) imply:
% 172.38/26.66  |   (9)  all_58_17 = e1
% 172.38/26.66  | 
% 172.38/26.66  | REF_CLOSE: (2), (3), (4), (6), (9) are inconsistent by sub-proof #635.
% 172.38/26.66  | 
% 172.38/26.66  End of proof
% 172.38/26.66  
% 172.38/26.66  Sub-proof #277 shows that the following formulas are inconsistent:
% 172.38/26.66  ----------------------------------------------------------------
% 172.38/26.66    (1)  all_58_27 = e2
% 172.38/26.66    (2)   ~ (e2 = e1)
% 172.38/26.66    (3)  all_58_16 = e0
% 172.38/26.66    (4)  all_58_27 = e1
% 172.38/26.66    (5)   ~ (e3 = e0)
% 172.38/26.66    (6)  all_58_17 = e2
% 172.38/26.66    (7)  all_58_16 = e3 | all_58_17 = e2
% 172.38/26.66  
% 172.38/26.66  Begin of proof
% 172.38/26.66  | 
% 172.38/26.66  | COMBINE_EQS: (1), (4) imply:
% 172.38/26.66  |   (8)  e2 = e1
% 172.38/26.66  | 
% 172.38/26.66  | COMBINE_EQS: (6), (8) imply:
% 172.38/26.66  |   (9)  all_58_17 = e1
% 172.38/26.66  | 
% 172.38/26.66  | REF_CLOSE: (2), (3), (5), (7), (9) are inconsistent by sub-proof #635.
% 172.38/26.66  | 
% 172.38/26.66  End of proof
% 172.38/26.66  
% 172.38/26.66  Sub-proof #278 shows that the following formulas are inconsistent:
% 172.38/26.66  ----------------------------------------------------------------
% 172.38/26.66    (1)  all_58_28 = e3
% 172.38/26.66    (2)   ~ (e2 = e1)
% 172.38/26.66    (3)  all_58_16 = e0
% 172.38/26.66    (4)   ~ (e3 = e0)
% 172.38/26.66    (5)  e3 = e1
% 172.38/26.66    (6)  all_58_17 = e2
% 172.38/26.66    (7)  all_58_16 = e3 | all_58_17 = e2
% 172.38/26.66    (8)  all_58_28 = e2
% 172.38/26.66  
% 172.38/26.66  Begin of proof
% 172.38/26.66  | 
% 172.38/26.66  | SIMP: (5) implies:
% 172.38/26.66  |   (9)  e3 = e1
% 172.38/26.66  | 
% 172.38/26.66  | COMBINE_EQS: (1), (8) imply:
% 172.38/26.66  |   (10)  e3 = e2
% 172.38/26.66  | 
% 172.38/26.66  | SIMP: (10) implies:
% 172.38/26.66  |   (11)  e3 = e2
% 172.38/26.66  | 
% 172.38/26.66  | COMBINE_EQS: (9), (11) imply:
% 172.38/26.66  |   (12)  e2 = e1
% 172.38/26.66  | 
% 172.38/26.66  | REF_CLOSE: (2), (3), (4), (6), (7), (12) are inconsistent by sub-proof #634.
% 172.38/26.66  | 
% 172.38/26.66  End of proof
% 172.38/26.66  
% 172.38/26.66  Sub-proof #279 shows that the following formulas are inconsistent:
% 172.38/26.66  ----------------------------------------------------------------
% 172.38/26.66    (1)  all_56_4 = e3
% 172.38/26.67    (2)  all_56_1 = e1
% 172.38/26.67    (3)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.38/26.67    (4)   ~ (e3 = e2)
% 172.38/26.67    (5)   ~ (e2 = e1)
% 172.38/26.67    (6)  all_56_9 = e2
% 172.38/26.67    (7)  all_58_29 = e0
% 172.38/26.67    (8)  all_58_29 = e2
% 172.38/26.67    (9)   ~ (e2 = e0)
% 172.38/26.67  
% 172.38/26.67  Begin of proof
% 172.38/26.67  | 
% 172.38/26.67  | COMBINE_EQS: (7), (8) imply:
% 172.38/26.67  |   (10)  e2 = e0
% 172.38/26.67  | 
% 172.38/26.67  | COMBINE_EQS: (6), (10) imply:
% 172.38/26.67  |   (11)  all_56_9 = e0
% 172.38/26.67  | 
% 172.38/26.67  | REF_CLOSE: (1), (2), (3), (4), (5), (9), (11) are inconsistent by sub-proof
% 172.38/26.67  |            #430.
% 172.38/26.67  | 
% 172.38/26.67  End of proof
% 172.38/26.67  
% 172.38/26.67  Sub-proof #280 shows that the following formulas are inconsistent:
% 172.38/26.67  ----------------------------------------------------------------
% 172.38/26.67    (1)  all_56_4 = e3
% 172.38/26.67    (2)  all_56_1 = e1
% 172.38/26.67    (3)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.38/26.67    (4)   ~ (e3 = e2)
% 172.38/26.67    (5)   ~ (e2 = e1)
% 172.38/26.67    (6)  all_58_28 = e0
% 172.38/26.67    (7)  all_56_9 = e2
% 172.38/26.67    (8)   ~ (e2 = e0)
% 172.38/26.67    (9)  all_58_28 = e2
% 172.38/26.67  
% 172.38/26.67  Begin of proof
% 172.38/26.67  | 
% 172.38/26.67  | COMBINE_EQS: (6), (9) imply:
% 172.38/26.67  |   (10)  e2 = e0
% 172.38/26.67  | 
% 172.38/26.67  | COMBINE_EQS: (7), (10) imply:
% 172.38/26.67  |   (11)  all_56_9 = e0
% 172.38/26.67  | 
% 172.38/26.67  | REF_CLOSE: (1), (2), (3), (4), (5), (8), (11) are inconsistent by sub-proof
% 172.38/26.67  |            #430.
% 172.38/26.67  | 
% 172.38/26.67  End of proof
% 172.38/26.67  
% 172.38/26.67  Sub-proof #281 shows that the following formulas are inconsistent:
% 172.38/26.67  ----------------------------------------------------------------
% 172.38/26.67    (1)  all_54_14 = all_10_1
% 172.38/26.67    (2)  all_54_14 = e1
% 172.38/26.67    (3)   ~ (all_10_1 = e1)
% 172.38/26.67  
% 172.38/26.67  Begin of proof
% 172.38/26.67  | 
% 172.38/26.67  | COMBINE_EQS: (1), (2) imply:
% 172.38/26.67  |   (4)  all_10_1 = e1
% 172.38/26.67  | 
% 172.38/26.67  | SIMP: (4) implies:
% 172.38/26.67  |   (5)  all_10_1 = e1
% 172.38/26.67  | 
% 172.38/26.67  | REDUCE: (3), (5) imply:
% 172.38/26.67  |   (6)  $false
% 172.38/26.67  | 
% 172.38/26.67  | CLOSE: (6) is inconsistent.
% 172.38/26.67  | 
% 172.38/26.67  End of proof
% 172.38/26.67  
% 172.38/26.67  Sub-proof #282 shows that the following formulas are inconsistent:
% 172.38/26.67  ----------------------------------------------------------------
% 172.38/26.67    (1)  all_54_14 = all_10_1
% 172.38/26.67    (2)  all_54_14 = e0
% 172.38/26.67    (3)   ~ (all_10_1 = e0)
% 172.38/26.67  
% 172.38/26.67  Begin of proof
% 172.38/26.67  | 
% 172.38/26.67  | COMBINE_EQS: (1), (2) imply:
% 172.38/26.67  |   (4)  all_10_1 = e0
% 172.38/26.67  | 
% 172.38/26.67  | SIMP: (4) implies:
% 172.38/26.67  |   (5)  all_10_1 = e0
% 172.38/26.67  | 
% 172.38/26.67  | REDUCE: (3), (5) imply:
% 172.38/26.67  |   (6)  $false
% 172.38/26.67  | 
% 172.38/26.67  | CLOSE: (6) is inconsistent.
% 172.38/26.67  | 
% 172.38/26.67  End of proof
% 172.38/26.67  
% 172.38/26.67  Sub-proof #283 shows that the following formulas are inconsistent:
% 172.38/26.67  ----------------------------------------------------------------
% 172.38/26.67    (1)  all_56_3 = all_4_2
% 172.38/26.67    (2)  all_56_3 = e0
% 172.38/26.67    (3)   ~ (all_4_2 = e0)
% 172.38/26.67  
% 172.38/26.67  Begin of proof
% 172.38/26.67  | 
% 172.38/26.67  | COMBINE_EQS: (1), (2) imply:
% 172.38/26.67  |   (4)  all_4_2 = e0
% 172.38/26.67  | 
% 172.38/26.67  | SIMP: (4) implies:
% 172.38/26.67  |   (5)  all_4_2 = e0
% 172.38/26.67  | 
% 172.38/26.67  | REDUCE: (3), (5) imply:
% 172.38/26.67  |   (6)  $false
% 172.38/26.67  | 
% 172.38/26.67  | CLOSE: (6) is inconsistent.
% 172.38/26.67  | 
% 172.38/26.67  End of proof
% 172.38/26.67  
% 172.38/26.67  Sub-proof #284 shows that the following formulas are inconsistent:
% 172.38/26.67  ----------------------------------------------------------------
% 172.38/26.67    (1)  all_56_1 = all_52_4
% 172.38/26.67    (2)  all_56_12 = all_52_3
% 172.38/26.67    (3)  all_56_15 = e0 | ((all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 172.38/26.67           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0))
% 172.38/26.67    (4)   ~ (all_52_8 = all_52_12)
% 172.38/26.67    (5)  all_58_23 = all_52_7
% 172.38/26.67    (6)   ~ (all_14_1 = e1)
% 172.38/26.67    (7)   ~ (all_52_4 = all_4_2)
% 172.38/26.67    (8)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.38/26.67    (9)  all_56_5 = all_52_9
% 172.38/26.67    (10)   ~ (all_52_6 = all_4_2)
% 172.38/26.67    (11)  all_56_11 = all_14_1
% 172.38/26.67    (12)   ~ (all_52_13 = e1)
% 172.38/26.67    (13)  all_54_1 = all_52_4
% 172.38/26.67    (14)   ~ (all_52_9 = all_4_2)
% 172.38/26.67    (15)   ~ (all_52_3 = all_52_7)
% 172.38/26.67    (16)  all_54_6 = all_52_9
% 172.38/26.67    (17)   ~ (all_52_7 = all_10_1)
% 172.38/26.67    (18)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 172.38/26.67    (19)   ~ (all_52_13 = all_4_2)
% 172.38/26.67    (20)   ~ (all_52_13 = all_14_1)
% 172.38/26.67    (21)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.38/26.67    (22)   ~ (all_52_9 = e0)
% 172.38/26.67    (23)   ~ (all_52_4 = all_52_6)
% 172.38/26.67    (24)   ~ (all_52_9 = all_52_13)
% 172.38/26.67    (25)   ~ (all_52_3 = all_6_2)
% 172.38/26.67    (26)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.38/26.67    (27)   ~ (all_52_6 = all_52_7)
% 172.38/26.67    (28)  all_56_0 = all_6_2
% 172.38/26.67    (29)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.38/26.67    (30)  all_58_17 = all_52_1
% 172.38/26.67    (31)  all_56_14 = all_10_1
% 172.38/26.67    (32)  all_58_19 = all_52_3
% 172.38/26.67    (33)  all_56_9 = all_52_12
% 172.38/26.67    (34)   ~ (all_52_2 = all_52_6)
% 172.38/26.67    (35)   ~ (all_52_12 = e1)
% 172.38/26.67    (36)   ~ (all_52_12 = all_14_1)
% 172.38/26.67    (37)  all_58_30 = all_14_1
% 172.38/26.67    (38)   ~ (all_52_4 = all_52_7)
% 172.38/26.67    (39)  all_58_26 = e0
% 172.38/26.67    (40)   ~ (all_52_7 = e1)
% 172.38/26.67    (41)  all_56_8 = e0
% 172.38/26.67    (42)   ~ (all_52_2 = e0)
% 172.38/26.67    (43)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.38/26.67    (44)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.38/26.67    (45)  all_54_9 = all_52_6
% 172.38/26.67    (46)   ~ (all_14_1 = e0)
% 172.38/26.67    (47)  all_58_18 = all_52_2
% 172.38/26.67    (48)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.38/26.67    (49)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.38/26.67    (50)  all_58_16 = all_6_2
% 172.38/26.67    (51)  all_56_13 = all_52_7
% 172.38/26.67    (52)   ~ (all_52_8 = all_52_9)
% 172.38/26.67    (53)  all_56_2 = all_52_1
% 172.38/26.67    (54)   ~ (all_52_8 = all_10_1)
% 172.38/26.67    (55)   ~ (e3 = e0)
% 172.38/26.67    (56)  all_54_11 = all_14_1
% 172.38/26.67    (57)  all_58_29 = all_52_13
% 172.38/26.67    (58)   ~ (all_52_1 = all_52_2)
% 172.38/26.67    (59)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 172.38/26.67    (60)   ~ (all_4_2 = e0)
% 172.38/26.67    (61)   ~ (all_6_2 = e0)
% 172.38/26.67    (62)   ~ (all_52_7 = all_4_2)
% 172.38/26.67    (63)  all_56_4 = all_52_8
% 172.38/26.67    (64)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.38/26.67    (65)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.38/26.67    (66)   ~ (all_52_9 = all_10_1)
% 172.38/26.67    (67)   ~ (all_52_1 = all_52_13)
% 172.38/26.67    (68)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.38/26.67    (69)  all_58_20 = all_52_4
% 172.38/26.67    (70)  all_54_13 = all_52_7
% 172.38/26.67    (71)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.38/26.67    (72)   ~ (all_52_2 = all_14_1)
% 172.38/26.67    (73)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.38/26.67    (74)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 172.38/26.67    (75)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 172.38/26.67    (76)  all_56_6 = all_52_2
% 172.38/26.67    (77)   ~ (all_52_1 = all_52_9)
% 172.38/26.67    (78)  all_58_24 = all_52_8
% 172.38/26.67    (79)  all_58_22 = all_52_6
% 172.38/26.67    (80)   ~ (all_52_4 = all_52_12)
% 172.38/26.67    (81)  all_56_3 = all_4_2
% 172.38/26.67    (82)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.38/26.67    (83)  all_58_27 = all_10_1
% 172.38/26.67    (84)   ~ (all_52_2 = all_52_3)
% 172.38/26.67    (85)  all_58_25 = all_52_9
% 172.38/26.67    (86)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 172.38/26.67    (87)   ~ (all_52_6 = e0)
% 172.38/26.67    (88)  all_58_21 = all_4_2
% 172.38/26.67    (89)  all_56_10 = all_52_13
% 172.38/26.67    (90)   ~ (e2 = e0)
% 172.38/26.67    (91)   ~ (all_52_1 = all_52_3)
% 172.38/26.67    (92)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 172.38/26.67    (93)   ~ (all_52_3 = all_10_1)
% 172.38/26.67    (94)  all_58_28 = all_52_12
% 172.38/26.67    (95)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.38/26.67    (96)   ~ (e1 = e0)
% 172.38/26.67    (97)  all_54_4 = all_52_1
% 172.38/26.67    (98)  all_56_7 = all_52_6
% 172.38/26.67    (99)  all_58_31 = e1
% 172.38/26.67    (100)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 172.38/26.67    (101)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.38/26.67           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.38/26.67           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.38/26.67           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.38/26.67           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.38/26.67           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.38/26.67           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.38/26.67           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.38/26.67           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.38/26.67           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.38/26.67             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.38/26.67             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.38/26.67             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.38/26.67             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.38/26.67             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.38/26.67             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.38/26.67             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.38/26.67             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.38/26.67             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.38/26.67             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.38/26.67             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.38/26.67             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.38/26.67             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.38/26.67             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.38/26.67             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.38/26.67             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.38/26.67           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.38/26.67           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.38/26.67           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.38/26.67             all_58_30 = e0 & e1 = e0)
% 172.38/26.67    (102)   ~ (all_10_1 = e0)
% 172.38/26.67    (103)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.38/26.67    (104)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 172.38/26.67    (105)  all_56_15 = e1
% 172.38/26.67    (106)   ~ (all_52_12 = all_52_13)
% 172.38/26.67  
% 172.38/26.67  Begin of proof
% 172.38/26.67  | 
% 172.38/26.67  | BETA: splitting (71) gives:
% 172.38/26.67  | 
% 172.38/26.67  | Case 1:
% 172.38/26.67  | | 
% 172.38/26.67  | |   (107)  all_56_0 = e0
% 172.38/26.67  | | 
% 172.38/26.67  | | COMBINE_EQS: (28), (107) imply:
% 172.38/26.67  | |   (108)  all_6_2 = e0
% 172.38/26.67  | | 
% 172.38/26.67  | | REDUCE: (61), (108) imply:
% 172.38/26.67  | |   (109)  $false
% 172.38/26.67  | | 
% 172.38/26.67  | | CLOSE: (109) is inconsistent.
% 172.38/26.67  | | 
% 172.38/26.67  | Case 2:
% 172.38/26.67  | | 
% 172.38/26.67  | |   (110)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.38/26.67  | | 
% 172.38/26.67  | | BETA: splitting (64) gives:
% 172.38/26.67  | | 
% 172.38/26.67  | | Case 1:
% 172.38/26.67  | | | 
% 172.38/26.67  | | |   (111)  all_56_2 = e0
% 172.38/26.67  | | | 
% 172.38/26.67  | | | COMBINE_EQS: (53), (111) imply:
% 172.38/26.67  | | |   (112)  all_52_1 = e0
% 172.38/26.67  | | | 
% 172.38/26.67  | | | COMBINE_EQS: (30), (112) imply:
% 172.38/26.67  | | |   (113)  all_58_17 = e0
% 172.38/26.67  | | | 
% 172.38/26.67  | | | REDUCE: (91), (112) imply:
% 172.38/26.67  | | |   (114)   ~ (all_52_3 = e0)
% 172.38/26.67  | | | 
% 172.38/26.67  | | | SIMP: (114) implies:
% 172.38/26.67  | | |   (115)   ~ (all_52_3 = e0)
% 172.38/26.67  | | | 
% 172.38/26.67  | | | REDUCE: (77), (112) imply:
% 172.38/26.67  | | |   (116)   ~ (all_52_9 = e0)
% 172.38/26.67  | | | 
% 172.38/26.67  | | | REDUCE: (67), (112) imply:
% 172.38/26.67  | | |   (117)   ~ (all_52_13 = e0)
% 172.38/26.67  | | | 
% 172.38/26.67  | | | SIMP: (117) implies:
% 172.38/26.67  | | |   (118)   ~ (all_52_13 = e0)
% 172.38/26.67  | | | 
% 172.38/26.67  | | | BETA: splitting (3) gives:
% 172.38/26.67  | | | 
% 172.38/26.67  | | | Case 1:
% 172.38/26.67  | | | | 
% 172.38/26.67  | | | |   (119)  all_56_15 = e0
% 172.38/26.67  | | | | 
% 172.38/26.67  | | | | REF_CLOSE: (96), (105), (119) are inconsistent by sub-proof #657.
% 172.38/26.67  | | | | 
% 172.38/26.67  | | | Case 2:
% 172.38/26.67  | | | | 
% 172.38/26.67  | | | |   (120)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) & (all_56_12
% 172.38/26.67  | | | |            = e0 | all_56_13 = e0 | all_56_14 = e0)
% 172.38/26.67  | | | | 
% 172.38/26.67  | | | | ALPHA: (120) implies:
% 172.38/26.67  | | | |   (121)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 172.38/26.67  | | | |   (122)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 172.38/26.67  | | | | 
% 172.38/26.67  | | | | BETA: splitting (121) gives:
% 172.38/26.67  | | | | 
% 172.38/26.67  | | | | Case 1:
% 172.38/26.67  | | | | | 
% 172.38/26.67  | | | | |   (123)  all_56_12 = e0
% 172.38/26.67  | | | | | 
% 172.38/26.67  | | | | | REF_CLOSE: (2), (115), (123) are inconsistent by sub-proof #919.
% 172.38/26.67  | | | | | 
% 172.38/26.67  | | | | Case 2:
% 172.38/26.67  | | | | | 
% 172.38/26.67  | | | | |   (124)  all_56_13 = e0 | all_56_14 = e0
% 172.38/26.67  | | | | | 
% 172.38/26.67  | | | | | BETA: splitting (124) gives:
% 172.38/26.67  | | | | | 
% 172.38/26.67  | | | | | Case 1:
% 172.38/26.67  | | | | | | 
% 172.38/26.67  | | | | | |   (125)  all_56_13 = e0
% 172.38/26.67  | | | | | | 
% 172.38/26.67  | | | | | | COMBINE_EQS: (51), (125) imply:
% 172.38/26.67  | | | | | |   (126)  all_52_7 = e0
% 172.38/26.67  | | | | | | 
% 172.38/26.67  | | | | | | SIMP: (126) implies:
% 172.38/26.67  | | | | | |   (127)  all_52_7 = e0
% 172.38/26.67  | | | | | | 
% 172.38/26.67  | | | | | | COMBINE_EQS: (5), (127) imply:
% 172.38/26.67  | | | | | |   (128)  all_58_23 = e0
% 172.38/26.67  | | | | | | 
% 172.38/26.67  | | | | | | REDUCE: (17), (127) imply:
% 172.38/26.67  | | | | | |   (129)   ~ (all_10_1 = e0)
% 172.38/26.67  | | | | | | 
% 172.38/26.67  | | | | | | REDUCE: (62), (127) imply:
% 172.38/26.67  | | | | | |   (130)   ~ (all_4_2 = e0)
% 172.38/26.67  | | | | | | 
% 172.38/26.67  | | | | | | BETA: splitting (122) gives:
% 172.38/26.67  | | | | | | 
% 172.38/26.67  | | | | | | Case 1:
% 172.38/26.67  | | | | | | | 
% 172.38/26.67  | | | | | | |   (131)  all_56_9 = e0
% 172.38/26.67  | | | | | | | 
% 172.38/26.67  | | | | | | | COMBINE_EQS: (33), (131) imply:
% 172.38/26.67  | | | | | | |   (132)  all_52_12 = e0
% 172.38/26.67  | | | | | | | 
% 172.38/26.67  | | | | | | | COMBINE_EQS: (94), (132) imply:
% 172.38/26.67  | | | | | | |   (133)  all_58_28 = e0
% 172.38/26.67  | | | | | | | 
% 172.38/26.67  | | | | | | | REDUCE: (80), (132) imply:
% 172.38/26.67  | | | | | | |   (134)   ~ (all_52_4 = e0)
% 172.38/26.67  | | | | | | | 
% 172.38/26.67  | | | | | | | REDUCE: (4), (132) imply:
% 172.38/26.67  | | | | | | |   (135)   ~ (all_52_8 = e0)
% 172.38/26.67  | | | | | | | 
% 172.38/26.67  | | | | | | | REDUCE: (35), (132) imply:
% 172.38/26.67  | | | | | | |   (136)   ~ (e1 = e0)
% 172.38/26.67  | | | | | | | 
% 172.38/26.67  | | | | | | | BETA: splitting (21) gives:
% 172.38/26.67  | | | | | | | 
% 172.38/26.67  | | | | | | | Case 1:
% 172.38/26.67  | | | | | | | | 
% 172.38/26.67  | | | | | | | |   (137)  all_58_31 = e0
% 172.38/26.67  | | | | | | | | 
% 172.38/26.67  | | | | | | | | COMBINE_EQS: (99), (137) imply:
% 172.38/26.67  | | | | | | | |   (138)  e1 = e0
% 172.38/26.67  | | | | | | | | 
% 172.38/26.67  | | | | | | | | REDUCE: (96), (138) imply:
% 172.38/26.67  | | | | | | | |   (139)  $false
% 172.38/26.67  | | | | | | | | 
% 172.38/26.67  | | | | | | | | CLOSE: (139) is inconsistent.
% 172.38/26.67  | | | | | | | | 
% 172.38/26.67  | | | | | | | Case 2:
% 172.38/26.67  | | | | | | | | 
% 172.38/26.67  | | | | | | | |   (140)   ~ (all_58_31 = e0)
% 172.38/26.67  | | | | | | | |   (141)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.38/26.67  | | | | | | | | 
% 172.38/26.67  | | | | | | | | BETA: splitting (141) gives:
% 172.38/26.67  | | | | | | | | 
% 172.38/26.67  | | | | | | | | Case 1:
% 172.38/26.67  | | | | | | | | | 
% 172.38/26.67  | | | | | | | | |   (142)  all_58_30 = e1
% 172.38/26.67  | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | COMBINE_EQS: (37), (142) imply:
% 172.38/26.67  | | | | | | | | |   (143)  all_14_1 = e1
% 172.38/26.67  | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | REDUCE: (6), (143) imply:
% 172.38/26.67  | | | | | | | | |   (144)  $false
% 172.38/26.67  | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | CLOSE: (144) is inconsistent.
% 172.38/26.67  | | | | | | | | | 
% 172.38/26.67  | | | | | | | | Case 2:
% 172.38/26.67  | | | | | | | | | 
% 172.38/26.67  | | | | | | | | |   (145)   ~ (all_58_30 = e1)
% 172.38/26.67  | | | | | | | | |   (146)  all_58_28 = e3 | all_58_29 = e2
% 172.38/26.67  | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | BETA: splitting (146) gives:
% 172.38/26.67  | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | Case 1:
% 172.38/26.67  | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | |   (147)  all_58_29 = e2
% 172.38/26.67  | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | COMBINE_EQS: (57), (147) imply:
% 172.38/26.67  | | | | | | | | | |   (148)  all_52_13 = e2
% 172.38/26.67  | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | COMBINE_EQS: (89), (148) imply:
% 172.38/26.67  | | | | | | | | | |   (149)  all_56_10 = e2
% 172.38/26.67  | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | REDUCE: (24), (148) imply:
% 172.38/26.67  | | | | | | | | | |   (150)   ~ (all_52_9 = e2)
% 172.38/26.67  | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | REDUCE: (20), (148) imply:
% 172.38/26.67  | | | | | | | | | |   (151)   ~ (all_14_1 = e2)
% 172.38/26.67  | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | SIMP: (151) implies:
% 172.38/26.67  | | | | | | | | | |   (152)   ~ (all_14_1 = e2)
% 172.38/26.67  | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | REDUCE: (19), (148) imply:
% 172.38/26.67  | | | | | | | | | |   (153)   ~ (all_4_2 = e2)
% 172.38/26.67  | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | SIMP: (153) implies:
% 172.38/26.67  | | | | | | | | | |   (154)   ~ (all_4_2 = e2)
% 172.38/26.67  | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | BETA: splitting (104) gives:
% 172.38/26.67  | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | Case 1:
% 172.38/26.67  | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | |   (155)  all_54_11 = e1
% 172.38/26.67  | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | REF_CLOSE: (6), (56), (155) are inconsistent by sub-proof
% 172.38/26.67  | | | | | | | | | | |            #665.
% 172.38/26.67  | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | Case 2:
% 172.38/26.67  | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | |   (156)   ~ (all_54_11 = e1)
% 172.38/26.67  | | | | | | | | | | |   (157)  all_54_11 = e3 | all_54_11 = e2
% 172.38/26.67  | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | BETA: splitting (29) gives:
% 172.38/26.67  | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | Case 1:
% 172.38/26.67  | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | |   (158)  all_58_27 = e0
% 172.38/26.67  | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | COMBINE_EQS: (83), (158) imply:
% 172.38/26.67  | | | | | | | | | | | |   (159)  all_10_1 = e0
% 172.38/26.67  | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | REDUCE: (102), (159) imply:
% 172.38/26.67  | | | | | | | | | | | |   (160)  $false
% 172.38/26.67  | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | CLOSE: (160) is inconsistent.
% 172.38/26.67  | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | Case 2:
% 172.38/26.67  | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | |   (161)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.38/26.67  | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | BETA: splitting (161) gives:
% 172.38/26.67  | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | Case 1:
% 172.38/26.67  | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | |   (162)  all_58_26 = e1
% 172.38/26.67  | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | REF_CLOSE: (39), (96), (162) are inconsistent by sub-proof
% 172.38/26.67  | | | | | | | | | | | | |            #312.
% 172.38/26.67  | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | Case 2:
% 172.38/26.67  | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | |   (163)   ~ (all_58_26 = e1)
% 172.38/26.67  | | | | | | | | | | | | |   (164)  all_58_24 = e3 | all_58_25 = e2
% 172.38/26.67  | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | BETA: splitting (157) gives:
% 172.38/26.67  | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | Case 1:
% 172.38/26.67  | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | |   (165)  all_54_11 = e2
% 172.38/26.67  | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | REF_CLOSE: (56), (152), (165) are inconsistent by sub-proof
% 172.38/26.67  | | | | | | | | | | | | | |            #664.
% 172.38/26.67  | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | Case 2:
% 172.38/26.67  | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | |   (166)  all_54_11 = e3
% 172.38/26.67  | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | COMBINE_EQS: (56), (166) imply:
% 172.38/26.67  | | | | | | | | | | | | | |   (167)  all_14_1 = e3
% 172.38/26.67  | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | SIMP: (167) implies:
% 172.38/26.67  | | | | | | | | | | | | | |   (168)  all_14_1 = e3
% 172.38/26.67  | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | COMBINE_EQS: (37), (168) imply:
% 172.38/26.67  | | | | | | | | | | | | | |   (169)  all_58_30 = e3
% 172.38/26.67  | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | REDUCE: (152), (168) imply:
% 172.38/26.67  | | | | | | | | | | | | | |   (170)   ~ (e3 = e2)
% 172.38/26.67  | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | REDUCE: (6), (168) imply:
% 172.38/26.67  | | | | | | | | | | | | | |   (171)   ~ (e3 = e1)
% 172.38/26.67  | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 172.38/26.67  | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | Case 1:
% 172.38/26.67  | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | |   (172)  all_58_31 = e0
% 172.38/26.67  | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | REF_CLOSE: (96), (99), (172) are inconsistent by sub-proof
% 172.38/26.67  | | | | | | | | | | | | | | |            #311.
% 172.38/26.67  | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | Case 2:
% 172.38/26.67  | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | |   (173)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 |
% 172.38/26.67  | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.38/26.67  | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.38/26.67  | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.38/26.67  | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.38/26.67  | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 172.38/26.67  | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.38/26.67  | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 172.38/26.67  | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 172.38/26.67  | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.38/26.67  | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 172.38/26.67  | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 172.38/26.67  | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.38/26.67  | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 172.38/26.67  | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 172.38/26.67  | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 172.38/26.67  | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 172.38/26.67  | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.38/26.67  | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.38/26.67  | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.38/26.67  | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.38/26.67  | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.38/26.67  | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.38/26.67  | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.38/26.67  | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.38/26.67  | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.38/26.67  | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.38/26.67  | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.38/26.67  | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.38/26.67  | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.38/26.67  | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.38/26.67  | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.38/26.67  | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 172.38/26.67  | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 172.38/26.67  | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 172.38/26.67  | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 172.38/26.67  | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.38/26.67  | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.38/26.67  | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.38/26.67  | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.38/26.67  | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.38/26.67  | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.38/26.67  | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.38/26.67  | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | BETA: splitting (173) gives:
% 172.38/26.67  | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | Case 1:
% 172.38/26.67  | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | |   (174)  all_58_26 = e1
% 172.38/26.67  | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | COMBINE_EQS: (39), (174) imply:
% 172.38/26.67  | | | | | | | | | | | | | | | |   (175)  e1 = e0
% 172.38/26.67  | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | REDUCE: (96), (175) imply:
% 172.38/26.67  | | | | | | | | | | | | | | | |   (176)  $false
% 172.38/26.67  | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | CLOSE: (176) is inconsistent.
% 172.38/26.67  | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | Case 2:
% 172.38/26.67  | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | |   (177)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3
% 172.38/26.67  | | | | | | | | | | | | | | | |            & all_58_18 = e1 & all_58_20 = e3 & all_58_24 =
% 172.38/26.67  | | | | | | | | | | | | | | | |            e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 172.38/26.67  | | | | | | | | | | | | | | | |            all_58_20 = e3 & all_58_28 = e0) | (all_58_17 =
% 172.38/26.67  | | | | | | | | | | | | | | | |            e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25
% 172.38/26.67  | | | | | | | | | | | | | | | |            = e2) | (all_58_17 = e3 & all_58_20 = e3 &
% 172.38/26.67  | | | | | | | | | | | | | | | |            all_58_23 = e2 & all_58_29 = e2) | (all_58_17 =
% 172.38/26.67  | | | | | | | | | | | | | | | |            e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24
% 172.38/26.67  | | | | | | | | | | | | | | | |            = e3) | (all_58_17 = e2 & all_58_19 = e3 &
% 172.38/26.67  | | | | | | | | | | | | | | | |            all_58_20 = e2 & all_58_28 = e3) | (all_58_17 =
% 172.38/26.67  | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25
% 172.38/26.67  | | | | | | | | | | | | | | | |            = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 172.38/26.67  | | | | | | | | | | | | | | | |            all_58_23 = e0 & all_58_29 = e0) | (all_58_17 =
% 172.38/26.67  | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3
% 172.38/26.67  | | | | | | | | | | | | | | | |            & all_58_19 = e0 & all_58_24 = e3 & all_58_28 =
% 172.38/26.67  | | | | | | | | | | | | | | | |            e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 172.38/26.67  | | | | | | | | | | | | | | | |            all_58_24 = e3 & all_58_25 = e1) | (all_58_18 =
% 172.38/26.67  | | | | | | | | | | | | | | | |            e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30
% 172.38/26.67  | | | | | | | | | | | | | | | |            = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 172.38/26.67  | | | | | | | | | | | | | | | |            all_58_24 = e1 & all_58_28 = e3) | (all_58_18 =
% 172.38/26.67  | | | | | | | | | | | | | | | |            e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25
% 172.38/26.67  | | | | | | | | | | | | | | | |            = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 172.38/26.67  | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_18 =
% 172.38/26.67  | | | | | | | | | | | | | | | |            e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3
% 172.38/26.67  | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_28 = e3 & all_58_29 =
% 172.38/26.67  | | | | | | | | | | | | | | | |            e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.38/26.67  | | | | | | | | | | | | | | | |            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 =
% 172.38/26.67  | | | | | | | | | | | | | | | |            e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29
% 172.38/26.67  | | | | | | | | | | | | | | | |            = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.38/26.67  | | | | | | | | | | | | | | | |            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 =
% 172.38/26.67  | | | | | | | | | | | | | | | |            e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2
% 172.38/26.67  | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_25 = e2 & all_58_29 =
% 172.38/26.67  | | | | | | | | | | | | | | | |            e0) | (all_58_22 = e2 & all_58_25 = e2 &
% 172.38/26.67  | | | | | | | | | | | | | | | |            all_58_27 = e1 & all_58_30 = e1) | (all_58_22 =
% 172.38/26.67  | | | | | | | | | | | | | | | |            e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29
% 172.38/26.67  | | | | | | | | | | | | | | | |            = e2) | (all_58_22 = e1 & all_58_25 = e1 &
% 172.38/26.67  | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_22 =
% 172.38/26.67  | | | | | | | | | | | | | | | |            e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 = e2
% 172.38/26.67  | | | | | | | | | | | | | | | |            & all_58_27 = e0 & all_58_29 = e2 & all_58_30 =
% 172.38/26.67  | | | | | | | | | | | | | | | |            e0) | (all_58_23 = e0 & all_58_27 = e1 &
% 172.38/26.67  | | | | | | | | | | | | | | | |            all_58_29 = e0 & all_58_30 = e1) | (all_58_23 =
% 172.38/26.67  | | | | | | | | | | | | | | | |            e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0
% 172.38/26.67  | | | | | | | | | | | | | | | |            & all_58_30 = e0 & e1 = e0)
% 172.38/26.67  | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 172.38/26.67  | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.67  | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | |   (178)  all_58_25 = e2
% 172.38/26.67  | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | | REF_CLOSE: (85), (150), (178) are inconsistent by sub-proof
% 172.38/26.67  | | | | | | | | | | | | | | | | |            #922.
% 172.38/26.67  | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.67  | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | |   (179)  all_58_24 = e3
% 172.38/26.67  | | | | | | | | | | | | | | | | |   (180)   ~ (all_58_25 = e2)
% 172.38/26.67  | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | | COMBINE_EQS: (78), (179) imply:
% 172.38/26.67  | | | | | | | | | | | | | | | | |   (181)  all_52_8 = e3
% 172.38/26.67  | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | | SIMP: (181) implies:
% 172.38/26.67  | | | | | | | | | | | | | | | | |   (182)  all_52_8 = e3
% 172.38/26.67  | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | | REDUCE: (52), (182) imply:
% 172.38/26.67  | | | | | | | | | | | | | | | | |   (183)   ~ (all_52_9 = e3)
% 172.38/26.67  | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | | SIMP: (183) implies:
% 172.38/26.67  | | | | | | | | | | | | | | | | |   (184)   ~ (all_52_9 = e3)
% 172.38/26.67  | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | | REDUCE: (54), (182) imply:
% 172.38/26.67  | | | | | | | | | | | | | | | | |   (185)   ~ (all_10_1 = e3)
% 172.38/26.67  | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | | SIMP: (185) implies:
% 172.38/26.67  | | | | | | | | | | | | | | | | |   (186)   ~ (all_10_1 = e3)
% 172.38/26.67  | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | | BETA: splitting (65) gives:
% 172.38/26.67  | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.67  | | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | | |   (187)  all_56_12 = e3
% 172.38/26.67  | | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2), (187) imply:
% 172.38/26.67  | | | | | | | | | | | | | | | | | |   (188)  all_52_3 = e3
% 172.38/26.67  | | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | | | SIMP: (188) implies:
% 172.38/26.67  | | | | | | | | | | | | | | | | | |   (189)  all_52_3 = e3
% 172.38/26.67  | | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (32), (189) imply:
% 172.38/26.67  | | | | | | | | | | | | | | | | | |   (190)  all_58_19 = e3
% 172.38/26.67  | | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | | | REDUCE: (25), (189) imply:
% 172.38/26.67  | | | | | | | | | | | | | | | | | |   (191)   ~ (all_6_2 = e3)
% 172.38/26.67  | | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | | | SIMP: (191) implies:
% 172.38/26.67  | | | | | | | | | | | | | | | | | |   (192)   ~ (all_6_2 = e3)
% 172.38/26.67  | | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | | | BETA: splitting (18) gives:
% 172.38/26.67  | | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.67  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | | | |   (193)  all_54_6 = e0
% 172.38/26.67  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (22), (193) are inconsistent by sub-proof
% 172.38/26.67  | | | | | | | | | | | | | | | | | | |            #901.
% 172.38/26.67  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.67  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | | | |   (194)   ~ (all_54_6 = e0)
% 172.38/26.67  | | | | | | | | | | | | | | | | | | |   (195)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 172.38/26.67  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (7), (8), (9), (10), (13), (14), (16), (22),
% 172.38/26.67  | | | | | | | | | | | | | | | | | | |            (23), (28), (34), (43), (44), (45), (47), (50),
% 172.38/26.67  | | | | | | | | | | | | | | | | | | |            (55), (60), (69), (76), (81), (85), (86), (87),
% 172.38/26.67  | | | | | | | | | | | | | | | | | | |            (88), (90), (95), (103), (111), (113), (128),
% 172.38/26.67  | | | | | | | | | | | | | | | | | | |            (133), (134), (147), (149), (150), (154), (169),
% 172.38/26.67  | | | | | | | | | | | | | | | | | | |            (170), (177), (179), (184), (187), (190), (192),
% 172.38/26.67  | | | | | | | | | | | | | | | | | | |            (195) are inconsistent by sub-proof #301.
% 172.38/26.67  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.67  | | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.67  | | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | | |   (196)  all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.38/26.67  | | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (55), (105), (125), (171), (186), (196) are
% 172.38/26.67  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #299.
% 172.38/26.67  | | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | | End of split
% 172.38/26.67  | | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | | End of split
% 172.38/26.67  | | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | | End of split
% 172.38/26.67  | | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | | End of split
% 172.38/26.67  | | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | | End of split
% 172.38/26.67  | | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | | End of split
% 172.38/26.67  | | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | | End of split
% 172.38/26.67  | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | End of split
% 172.38/26.67  | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | Case 2:
% 172.38/26.67  | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | |   (197)  all_58_28 = e3
% 172.38/26.67  | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | REF_CLOSE: (55), (133), (197) are inconsistent by sub-proof
% 172.38/26.67  | | | | | | | | | |            #857.
% 172.38/26.67  | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | End of split
% 172.38/26.67  | | | | | | | | | 
% 172.38/26.67  | | | | | | | | End of split
% 172.38/26.67  | | | | | | | | 
% 172.38/26.67  | | | | | | | End of split
% 172.38/26.67  | | | | | | | 
% 172.38/26.67  | | | | | | Case 2:
% 172.38/26.67  | | | | | | | 
% 172.38/26.67  | | | | | | |   (198)  all_56_10 = e0 | all_56_11 = e0
% 172.38/26.67  | | | | | | | 
% 172.38/26.67  | | | | | | | REF_CLOSE: (11), (46), (89), (118), (198) are inconsistent by
% 172.38/26.67  | | | | | | |            sub-proof #298.
% 172.38/26.67  | | | | | | | 
% 172.38/26.67  | | | | | | End of split
% 172.38/26.67  | | | | | | 
% 172.38/26.67  | | | | | Case 2:
% 172.38/26.67  | | | | | | 
% 172.38/26.67  | | | | | |   (199)  all_56_14 = e0
% 172.38/26.67  | | | | | | 
% 172.38/26.67  | | | | | | REF_CLOSE: (31), (102), (199) are inconsistent by sub-proof #317.
% 172.38/26.67  | | | | | | 
% 172.38/26.67  | | | | | End of split
% 172.38/26.67  | | | | | 
% 172.38/26.67  | | | | End of split
% 172.38/26.67  | | | | 
% 172.38/26.67  | | | End of split
% 172.38/26.67  | | | 
% 172.38/26.67  | | Case 2:
% 172.38/26.67  | | | 
% 172.38/26.67  | | |   (200)   ~ (all_56_2 = e0)
% 172.38/26.67  | | |   (201)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.38/26.67  | | | 
% 172.38/26.67  | | | REDUCE: (53), (200) imply:
% 172.38/26.67  | | |   (202)   ~ (all_52_1 = e0)
% 172.38/26.67  | | | 
% 172.38/26.67  | | | BETA: splitting (110) gives:
% 172.38/26.67  | | | 
% 172.38/26.67  | | | Case 1:
% 172.38/26.67  | | | | 
% 172.38/26.67  | | | |   (203)  all_56_2 = e0
% 172.38/26.67  | | | | 
% 172.38/26.67  | | | | COMBINE_EQS: (53), (203) imply:
% 172.38/26.67  | | | |   (204)  all_52_1 = e0
% 172.38/26.67  | | | | 
% 172.38/26.67  | | | | REDUCE: (202), (204) imply:
% 172.38/26.67  | | | |   (205)  $false
% 172.38/26.67  | | | | 
% 172.38/26.67  | | | | CLOSE: (205) is inconsistent.
% 172.38/26.67  | | | | 
% 172.38/26.67  | | | Case 2:
% 172.38/26.67  | | | | 
% 172.38/26.67  | | | |   (206)  all_56_6 = e0 | all_56_12 = e0
% 172.38/26.67  | | | | 
% 172.38/26.67  | | | | BETA: splitting (206) gives:
% 172.38/26.67  | | | | 
% 172.38/26.67  | | | | Case 1:
% 172.38/26.67  | | | | | 
% 172.38/26.67  | | | | |   (207)  all_56_6 = e0
% 172.38/26.67  | | | | | 
% 172.38/26.67  | | | | | COMBINE_EQS: (76), (207) imply:
% 172.38/26.67  | | | | |   (208)  all_52_2 = e0
% 172.38/26.67  | | | | | 
% 172.38/26.67  | | | | | REDUCE: (42), (208) imply:
% 172.38/26.67  | | | | |   (209)  $false
% 172.38/26.67  | | | | | 
% 172.38/26.67  | | | | | CLOSE: (209) is inconsistent.
% 172.38/26.67  | | | | | 
% 172.38/26.67  | | | | Case 2:
% 172.38/26.67  | | | | | 
% 172.38/26.67  | | | | |   (210)  all_56_12 = e0
% 172.38/26.67  | | | | | 
% 172.38/26.67  | | | | | COMBINE_EQS: (2), (210) imply:
% 172.38/26.67  | | | | |   (211)  all_52_3 = e0
% 172.38/26.67  | | | | | 
% 172.38/26.67  | | | | | SIMP: (211) implies:
% 172.38/26.67  | | | | |   (212)  all_52_3 = e0
% 172.38/26.67  | | | | | 
% 172.38/26.67  | | | | | COMBINE_EQS: (32), (212) imply:
% 172.38/26.67  | | | | |   (213)  all_58_19 = e0
% 172.38/26.67  | | | | | 
% 172.38/26.67  | | | | | REDUCE: (15), (212) imply:
% 172.38/26.67  | | | | |   (214)   ~ (all_52_7 = e0)
% 172.38/26.67  | | | | | 
% 172.38/26.67  | | | | | SIMP: (214) implies:
% 172.38/26.67  | | | | |   (215)   ~ (all_52_7 = e0)
% 172.38/26.67  | | | | | 
% 172.38/26.67  | | | | | REDUCE: (93), (212) imply:
% 172.38/26.67  | | | | |   (216)   ~ (all_10_1 = e0)
% 172.38/26.67  | | | | | 
% 172.38/26.67  | | | | | BETA: splitting (49) gives:
% 172.38/26.67  | | | | | 
% 172.38/26.67  | | | | | Case 1:
% 172.38/26.67  | | | | | | 
% 172.38/26.67  | | | | | |   (217)  all_56_1 = e0
% 172.38/26.67  | | | | | | 
% 172.38/26.67  | | | | | | COMBINE_EQS: (1), (217) imply:
% 172.38/26.67  | | | | | |   (218)  all_52_4 = e0
% 172.38/26.67  | | | | | | 
% 172.38/26.67  | | | | | | COMBINE_EQS: (69), (218) imply:
% 172.38/26.67  | | | | | |   (219)  all_58_20 = e0
% 172.38/26.67  | | | | | | 
% 172.38/26.67  | | | | | | REDUCE: (23), (218) imply:
% 172.38/26.67  | | | | | |   (220)   ~ (all_52_6 = e0)
% 172.38/26.67  | | | | | | 
% 172.38/26.67  | | | | | | REDUCE: (7), (218) imply:
% 172.38/26.67  | | | | | |   (221)   ~ (all_4_2 = e0)
% 172.38/26.67  | | | | | | 
% 172.38/26.67  | | | | | | BETA: splitting (201) gives:
% 172.38/26.67  | | | | | | 
% 172.38/26.67  | | | | | | Case 1:
% 172.38/26.67  | | | | | | | 
% 172.38/26.67  | | | | | | |   (222)  all_56_3 = e0
% 172.38/26.67  | | | | | | | 
% 172.38/26.67  | | | | | | | COMBINE_EQS: (81), (222) imply:
% 172.38/26.67  | | | | | | |   (223)  all_4_2 = e0
% 172.38/26.67  | | | | | | | 
% 172.38/26.67  | | | | | | | REDUCE: (60), (223) imply:
% 172.38/26.67  | | | | | | |   (224)  $false
% 172.38/26.67  | | | | | | | 
% 172.38/26.67  | | | | | | | CLOSE: (224) is inconsistent.
% 172.38/26.67  | | | | | | | 
% 172.38/26.67  | | | | | | Case 2:
% 172.38/26.67  | | | | | | | 
% 172.38/26.67  | | | | | | |   (225)  all_56_5 = e0 | all_56_10 = e0
% 172.38/26.67  | | | | | | | 
% 172.38/26.67  | | | | | | | BETA: splitting (225) gives:
% 172.38/26.67  | | | | | | | 
% 172.38/26.67  | | | | | | | Case 1:
% 172.38/26.67  | | | | | | | | 
% 172.38/26.67  | | | | | | | |   (226)  all_56_5 = e0
% 172.38/26.67  | | | | | | | | 
% 172.38/26.67  | | | | | | | | COMBINE_EQS: (9), (226) imply:
% 172.38/26.67  | | | | | | | |   (227)  all_52_9 = e0
% 172.38/26.67  | | | | | | | | 
% 172.38/26.67  | | | | | | | | REDUCE: (22), (227) imply:
% 172.38/26.67  | | | | | | | |   (228)  $false
% 172.38/26.67  | | | | | | | | 
% 172.38/26.67  | | | | | | | | CLOSE: (228) is inconsistent.
% 172.38/26.67  | | | | | | | | 
% 172.38/26.67  | | | | | | | Case 2:
% 172.38/26.67  | | | | | | | | 
% 172.38/26.67  | | | | | | | |   (229)  all_56_10 = e0
% 172.38/26.67  | | | | | | | | 
% 172.38/26.67  | | | | | | | | COMBINE_EQS: (89), (229) imply:
% 172.38/26.67  | | | | | | | |   (230)  all_52_13 = e0
% 172.38/26.67  | | | | | | | | 
% 172.38/26.67  | | | | | | | | COMBINE_EQS: (57), (230) imply:
% 172.38/26.67  | | | | | | | |   (231)  all_58_29 = e0
% 172.38/26.67  | | | | | | | | 
% 172.38/26.67  | | | | | | | | REDUCE: (106), (230) imply:
% 172.38/26.67  | | | | | | | |   (232)   ~ (all_52_12 = e0)
% 172.38/26.67  | | | | | | | | 
% 172.38/26.67  | | | | | | | | REDUCE: (12), (230) imply:
% 172.38/26.67  | | | | | | | |   (233)   ~ (e1 = e0)
% 172.38/26.67  | | | | | | | | 
% 172.38/26.67  | | | | | | | | BETA: splitting (21) gives:
% 172.38/26.67  | | | | | | | | 
% 172.38/26.67  | | | | | | | | Case 1:
% 172.38/26.67  | | | | | | | | | 
% 172.38/26.67  | | | | | | | | |   (234)  all_58_31 = e0
% 172.38/26.67  | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | COMBINE_EQS: (99), (234) imply:
% 172.38/26.67  | | | | | | | | |   (235)  e1 = e0
% 172.38/26.67  | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | REDUCE: (96), (235) imply:
% 172.38/26.67  | | | | | | | | |   (236)  $false
% 172.38/26.67  | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | CLOSE: (236) is inconsistent.
% 172.38/26.67  | | | | | | | | | 
% 172.38/26.67  | | | | | | | | Case 2:
% 172.38/26.67  | | | | | | | | | 
% 172.38/26.67  | | | | | | | | |   (237)   ~ (all_58_31 = e0)
% 172.38/26.67  | | | | | | | | |   (238)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.38/26.67  | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | BETA: splitting (238) gives:
% 172.38/26.67  | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | Case 1:
% 172.38/26.67  | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | |   (239)  all_58_30 = e1
% 172.38/26.67  | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | COMBINE_EQS: (37), (239) imply:
% 172.38/26.67  | | | | | | | | | |   (240)  all_14_1 = e1
% 172.38/26.67  | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | REDUCE: (6), (240) imply:
% 172.38/26.67  | | | | | | | | | |   (241)  $false
% 172.38/26.67  | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | CLOSE: (241) is inconsistent.
% 172.38/26.67  | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | Case 2:
% 172.38/26.67  | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | |   (242)   ~ (all_58_30 = e1)
% 172.38/26.67  | | | | | | | | | |   (243)  all_58_28 = e3 | all_58_29 = e2
% 172.38/26.67  | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | BETA: splitting (243) gives:
% 172.38/26.67  | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | Case 1:
% 172.38/26.67  | | | | | | | | | | | 
% 172.38/26.67  | | | | | | | | | | |   (244)  all_58_29 = e2
% 172.38/26.68  | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | REF_CLOSE: (90), (231), (244) are inconsistent by sub-proof
% 172.38/26.68  | | | | | | | | | | |            #889.
% 172.38/26.68  | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | Case 2:
% 172.38/26.68  | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | |   (245)  all_58_28 = e3
% 172.38/26.68  | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | COMBINE_EQS: (94), (245) imply:
% 172.38/26.68  | | | | | | | | | | |   (246)  all_52_12 = e3
% 172.38/26.68  | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | COMBINE_EQS: (33), (246) imply:
% 172.38/26.68  | | | | | | | | | | |   (247)  all_56_9 = e3
% 172.38/26.68  | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | REDUCE: (4), (246) imply:
% 172.38/26.68  | | | | | | | | | | |   (248)   ~ (all_52_8 = e3)
% 172.38/26.68  | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | REDUCE: (36), (246) imply:
% 172.38/26.68  | | | | | | | | | | |   (249)   ~ (all_14_1 = e3)
% 172.38/26.68  | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | SIMP: (249) implies:
% 172.38/26.68  | | | | | | | | | | |   (250)   ~ (all_14_1 = e3)
% 172.38/26.68  | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | REDUCE: (35), (246) imply:
% 172.38/26.68  | | | | | | | | | | |   (251)   ~ (e3 = e1)
% 172.38/26.68  | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | BETA: splitting (104) gives:
% 172.38/26.68  | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | Case 1:
% 172.38/26.68  | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | |   (252)  all_54_11 = e1
% 172.38/26.68  | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | REF_CLOSE: (6), (56), (252) are inconsistent by sub-proof
% 172.38/26.68  | | | | | | | | | | | |            #665.
% 172.38/26.68  | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | Case 2:
% 172.38/26.68  | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | |   (253)   ~ (all_54_11 = e1)
% 172.38/26.68  | | | | | | | | | | | |   (254)  all_54_11 = e3 | all_54_11 = e2
% 172.38/26.68  | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | BETA: splitting (29) gives:
% 172.38/26.68  | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | Case 1:
% 172.38/26.68  | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | |   (255)  all_58_27 = e0
% 172.38/26.68  | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | COMBINE_EQS: (83), (255) imply:
% 172.38/26.68  | | | | | | | | | | | | |   (256)  all_10_1 = e0
% 172.38/26.68  | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | REDUCE: (102), (256) imply:
% 172.38/26.68  | | | | | | | | | | | | |   (257)  $false
% 172.38/26.68  | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | CLOSE: (257) is inconsistent.
% 172.38/26.68  | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | Case 2:
% 172.38/26.68  | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | |   (258)   ~ (all_58_27 = e0)
% 172.38/26.68  | | | | | | | | | | | | |   (259)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.38/26.68  | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | BETA: splitting (254) gives:
% 172.38/26.68  | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | Case 1:
% 172.38/26.68  | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | |   (260)  all_54_11 = e2
% 172.38/26.68  | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | COMBINE_EQS: (56), (260) imply:
% 172.38/26.68  | | | | | | | | | | | | | |   (261)  all_14_1 = e2
% 172.38/26.68  | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | SIMP: (261) implies:
% 172.38/26.68  | | | | | | | | | | | | | |   (262)  all_14_1 = e2
% 172.38/26.68  | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | COMBINE_EQS: (11), (262) imply:
% 172.38/26.68  | | | | | | | | | | | | | |   (263)  all_56_11 = e2
% 172.38/26.68  | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | COMBINE_EQS: (37), (262) imply:
% 172.38/26.68  | | | | | | | | | | | | | |   (264)  all_58_30 = e2
% 172.38/26.68  | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | REDUCE: (72), (262) imply:
% 172.38/26.68  | | | | | | | | | | | | | |   (265)   ~ (all_52_2 = e2)
% 172.38/26.68  | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | REDUCE: (250), (262) imply:
% 172.38/26.68  | | | | | | | | | | | | | |   (266)   ~ (e3 = e2)
% 172.38/26.68  | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | SIMP: (266) implies:
% 172.38/26.68  | | | | | | | | | | | | | |   (267)   ~ (e3 = e2)
% 172.38/26.68  | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | REDUCE: (6), (262) imply:
% 172.38/26.68  | | | | | | | | | | | | | |   (268)   ~ (e2 = e1)
% 172.38/26.68  | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 172.38/26.68  | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | Case 1:
% 172.38/26.68  | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | |   (269)  all_58_26 = e1
% 172.38/26.68  | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | COMBINE_EQS: (39), (269) imply:
% 172.38/26.68  | | | | | | | | | | | | | | |   (270)  e1 = e0
% 172.38/26.68  | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | REDUCE: (96), (270) imply:
% 172.38/26.68  | | | | | | | | | | | | | | |   (271)  $false
% 172.38/26.68  | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | CLOSE: (271) is inconsistent.
% 172.38/26.68  | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | Case 2:
% 172.38/26.68  | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | |   (272)   ~ (all_58_26 = e1)
% 172.38/26.68  | | | | | | | | | | | | | | |   (273)  all_58_24 = e3 | all_58_25 = e2
% 172.38/26.68  | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 172.38/26.68  | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | Case 1:
% 172.38/26.68  | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | |   (274)  all_58_25 = e2
% 172.38/26.68  | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | COMBINE_EQS: (85), (274) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | |   (275)  all_52_9 = e2
% 172.38/26.68  | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | SIMP: (275) implies:
% 172.38/26.68  | | | | | | | | | | | | | | | |   (276)  all_52_9 = e2
% 172.38/26.68  | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | COMBINE_EQS: (9), (276) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | |   (277)  all_56_5 = e2
% 172.38/26.68  | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | REDUCE: (77), (276) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | |   (278)   ~ (all_52_1 = e2)
% 172.38/26.68  | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | REDUCE: (66), (276) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | |   (279)   ~ (all_10_1 = e2)
% 172.38/26.68  | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | SIMP: (279) implies:
% 172.38/26.68  | | | | | | | | | | | | | | | |   (280)   ~ (all_10_1 = e2)
% 172.38/26.68  | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | REDUCE: (14), (276) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | |   (281)   ~ (all_4_2 = e2)
% 172.38/26.68  | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | SIMP: (281) implies:
% 172.38/26.68  | | | | | | | | | | | | | | | |   (282)   ~ (all_4_2 = e2)
% 172.38/26.68  | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 172.38/26.68  | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.68  | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | |   (283)  all_56_12 = e2
% 172.38/26.68  | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | COMBINE_EQS: (210), (283) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | |   (284)  e2 = e0
% 172.38/26.68  | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | REDUCE: (90), (284) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | |   (285)  $false
% 172.38/26.68  | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | CLOSE: (285) is inconsistent.
% 172.38/26.68  | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.68  | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | |   (286)   ~ (all_56_12 = e2)
% 172.38/26.68  | | | | | | | | | | | | | | | | |   (287)  all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 172.38/26.68  | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | REDUCE: (210), (286) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | |   (288)   ~ (e2 = e0)
% 172.38/26.68  | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 172.38/26.68  | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | |   (289)  all_58_23 = e0
% 172.38/26.68  | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (215), (289) are inconsistent by sub-proof
% 172.38/26.68  | | | | | | | | | | | | | | | | | |            #982.
% 172.38/26.68  | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | |   (290)   ~ (all_58_23 = e0)
% 172.38/26.68  | | | | | | | | | | | | | | | | | |   (291)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.38/26.68  | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | BETA: splitting (68) gives:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | |   (292)  all_56_4 = e1
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (63), (292) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | |   (293)  all_52_8 = e1
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | SIMP: (293) implies:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | |   (294)  all_52_8 = e1
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (78), (294) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | |   (295)  all_58_24 = e1
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | REDUCE: (54), (294) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | |   (296)   ~ (all_10_1 = e1)
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | SIMP: (296) implies:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | |   (297)   ~ (all_10_1 = e1)
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | REDUCE: (248), (294) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | |   (298)   ~ (e3 = e1)
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | BETA: splitting (74) gives:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | |   (299)  all_56_4 = e3
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (299) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | |   (300)  e3 = e1
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | REDUCE: (251), (300) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | |   (301)  $false
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | CLOSE: (301) is inconsistent.
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | |   (302)  all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | |   (303)  all_56_5 = e3
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (277), (303) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | |   (304)  e3 = e2
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | REDUCE: (267), (304) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | |   (305)  $false
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | CLOSE: (305) is inconsistent.
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | |   (306)  all_56_8 = e3 | all_56_14 = e3
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | |   (307)  all_56_8 = e3
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (41), (307) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | |   (308)  e3 = e0
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (308) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | |   (309)  $false
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (309) is inconsistent.
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | |   (310)  all_56_14 = e3
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (31), (310) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | |   (311)  all_10_1 = e3
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | SIMP: (311) implies:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | |   (312)  all_10_1 = e3
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (83), (312) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | |   (313)  all_58_27 = e3
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (312) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | |   (314)   ~ (all_52_7 = e3)
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (92) gives:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | |   (315)  all_54_13 = e0
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (70), (215), (315) are inconsistent by sub-proof
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | |            #800.
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | |   (316)   ~ (all_54_13 = e0)
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | |   (317)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | |   (318)  all_54_13 = e1
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (70), (318) are inconsistent by sub-proof
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | |            #338.
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | |   (319)  all_54_13 = e3 | all_54_13 = e2
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  all_58_22 = e1
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (79), (320) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  all_52_6 = e1
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (321) implies:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  all_52_6 = e1
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (98), (322) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  all_56_7 = e1
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (322) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (324)   ~ (all_52_2 = e1)
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (27), (322) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (325)   ~ (all_52_7 = e1)
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (322) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (326)   ~ (all_4_2 = e1)
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (326) implies:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (327)   ~ (all_4_2 = e1)
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (26) gives:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  all_56_6 = e3
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (76), (328) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  all_52_2 = e3
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (329) implies:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  all_52_2 = e3
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (47), (330) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  all_58_18 = e3
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (330) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)   ~ (all_52_1 = e3)
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (75) gives:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  all_54_4 = e0
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (97), (202), (333) are inconsistent by sub-proof
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #902.
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (59) gives:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  all_56_1 = e3
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (217), (335) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  e3 = e0
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (336) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  $false
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (337) is inconsistent.
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  all_54_4 = e1
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (97), (339) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  all_52_1 = e1
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (340) implies:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  all_52_1 = e1
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (30), (341) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  all_58_17 = e1
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (48) gives:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  all_56_0 = e2
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (28), (343) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  all_6_2 = e2
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (344) implies:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  all_6_2 = e2
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (50), (345) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (346)  all_58_16 = e2
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  all_56_3 = e3
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (81), (347) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  all_4_2 = e3
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (348) implies:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  all_4_2 = e3
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (88), (349) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  all_58_21 = e3
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  all_58_31 = e0
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (99), (351) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (352)  e1 = e0
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (96), (352) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (353)  $false
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (353) is inconsistent.
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (354)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 |
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (287) gives:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (355)  all_56_13 = e2
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (51), (355) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (356)  all_52_7 = e2
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5), (356) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (357)  all_58_23 = e2
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (48), (53), (55), (76), (90), (96), (210),
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (213), (219), (231), (245), (251), (264), (265),
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (267), (268), (274), (278), (295), (313), (320),
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (331), (342), (343), (346), (350), (354), (357)
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #289.
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (358)   ~ (all_56_13 = e2)
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (358) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (359)   ~ (all_52_7 = e2)
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (70), (314), (319), (359) are inconsistent by
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #770.
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  all_56_7 = e3 | all_56_13 = e3
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (251), (314), (323), (360) are inconsistent
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #738.
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (361)  all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (53), (76), (90), (210), (265), (278), (361) are
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #732.
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (362)  all_54_4 = e3 | all_54_4 = e2
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (97), (278), (332), (362) are inconsistent by
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #880.
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (41), (55), (251), (263), (267), (323), (363) are
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #288.
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  all_58_20 = e3 | all_58_21 = e2
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (55), (88), (219), (282), (364) are inconsistent
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #974.
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | |   (365)   ~ (all_56_4 = e1)
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | REDUCE: (63), (365) imply:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | |   (366)   ~ (all_52_8 = e1)
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | |   (367)  all_56_0 = e1
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (53), (76), (90), (210), (265), (268),
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | |            (278), (367) are inconsistent by sub-proof #731.
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | |   (368)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (96), (217), (247), (251), (366), (368) are
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #287.
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.68  | | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | | End of split
% 172.38/26.68  | | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | | End of split
% 172.38/26.68  | | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | End of split
% 172.38/26.68  | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | Case 2:
% 172.38/26.68  | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | |   (369)  all_58_24 = e3
% 172.38/26.68  | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | | REF_CLOSE: (78), (248), (369) are inconsistent by sub-proof
% 172.38/26.68  | | | | | | | | | | | | | | | |            #286.
% 172.38/26.68  | | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | | End of split
% 172.38/26.68  | | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | End of split
% 172.38/26.68  | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | Case 2:
% 172.38/26.68  | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | |   (370)  all_54_11 = e3
% 172.38/26.68  | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | | REF_CLOSE: (56), (250), (370) are inconsistent by sub-proof
% 172.38/26.68  | | | | | | | | | | | | | |            #285.
% 172.38/26.68  | | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | | End of split
% 172.38/26.68  | | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | | End of split
% 172.38/26.68  | | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | | End of split
% 172.38/26.68  | | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | | End of split
% 172.38/26.68  | | | | | | | | | | 
% 172.38/26.68  | | | | | | | | | End of split
% 172.38/26.68  | | | | | | | | | 
% 172.38/26.68  | | | | | | | | End of split
% 172.38/26.68  | | | | | | | | 
% 172.38/26.68  | | | | | | | End of split
% 172.38/26.68  | | | | | | | 
% 172.38/26.68  | | | | | | End of split
% 172.38/26.68  | | | | | | 
% 172.38/26.68  | | | | | Case 2:
% 172.38/26.68  | | | | | | 
% 172.38/26.68  | | | | | |   (371)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.38/26.68  | | | | | | 
% 172.38/26.68  | | | | | | REF_CLOSE: (51), (60), (81), (87), (98), (215), (371) are
% 172.38/26.68  | | | | | |            inconsistent by sub-proof #940.
% 172.38/26.68  | | | | | | 
% 172.38/26.68  | | | | | End of split
% 172.38/26.68  | | | | | 
% 172.38/26.68  | | | | End of split
% 172.38/26.68  | | | | 
% 172.38/26.68  | | | End of split
% 172.38/26.68  | | | 
% 172.38/26.68  | | End of split
% 172.38/26.68  | | 
% 172.38/26.68  | End of split
% 172.38/26.68  | 
% 172.38/26.68  End of proof
% 172.38/26.68  
% 172.38/26.68  Sub-proof #285 shows that the following formulas are inconsistent:
% 172.38/26.68  ----------------------------------------------------------------
% 172.38/26.68    (1)  all_54_11 = all_14_1
% 172.38/26.68    (2)  all_54_11 = e3
% 172.38/26.68    (3)   ~ (all_14_1 = e3)
% 172.38/26.68  
% 172.38/26.68  Begin of proof
% 172.38/26.68  | 
% 172.38/26.68  | COMBINE_EQS: (1), (2) imply:
% 172.38/26.68  |   (4)  all_14_1 = e3
% 172.38/26.68  | 
% 172.38/26.68  | SIMP: (4) implies:
% 172.38/26.68  |   (5)  all_14_1 = e3
% 172.38/26.68  | 
% 172.38/26.68  | REDUCE: (3), (5) imply:
% 172.38/26.68  |   (6)  $false
% 172.38/26.68  | 
% 172.38/26.68  | CLOSE: (6) is inconsistent.
% 172.38/26.68  | 
% 172.38/26.68  End of proof
% 172.38/26.68  
% 172.38/26.68  Sub-proof #286 shows that the following formulas are inconsistent:
% 172.38/26.68  ----------------------------------------------------------------
% 172.38/26.68    (1)  all_58_24 = all_52_8
% 172.38/26.68    (2)  all_58_24 = e3
% 172.38/26.68    (3)   ~ (all_52_8 = e3)
% 172.38/26.68  
% 172.38/26.68  Begin of proof
% 172.38/26.68  | 
% 172.38/26.68  | COMBINE_EQS: (1), (2) imply:
% 172.38/26.68  |   (4)  all_52_8 = e3
% 172.38/26.68  | 
% 172.38/26.68  | SIMP: (4) implies:
% 172.38/26.68  |   (5)  all_52_8 = e3
% 172.38/26.68  | 
% 172.38/26.68  | REDUCE: (3), (5) imply:
% 172.38/26.68  |   (6)  $false
% 172.38/26.68  | 
% 172.38/26.68  | CLOSE: (6) is inconsistent.
% 172.38/26.68  | 
% 172.38/26.68  End of proof
% 172.38/26.68  
% 172.38/26.68  Sub-proof #287 shows that the following formulas are inconsistent:
% 172.38/26.68  ----------------------------------------------------------------
% 172.38/26.68    (1)   ~ (all_52_8 = e1)
% 172.38/26.68    (2)   ~ (e3 = e1)
% 172.38/26.68    (3)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.38/26.68    (4)  all_56_9 = e3
% 172.38/26.68    (5)  all_56_1 = e0
% 172.38/26.68    (6)  all_56_4 = all_52_8
% 172.38/26.68    (7)   ~ (e1 = e0)
% 172.38/26.68  
% 172.38/26.68  Begin of proof
% 172.38/26.68  | 
% 172.38/26.68  | BETA: splitting (3) gives:
% 172.38/26.68  | 
% 172.38/26.68  | Case 1:
% 172.38/26.68  | | 
% 172.38/26.68  | |   (8)  all_56_1 = e1
% 172.38/26.68  | | 
% 172.38/26.68  | | COMBINE_EQS: (5), (8) imply:
% 172.38/26.68  | |   (9)  e1 = e0
% 172.38/26.68  | | 
% 172.38/26.68  | | REDUCE: (7), (9) imply:
% 172.38/26.68  | |   (10)  $false
% 172.38/26.68  | | 
% 172.38/26.68  | | CLOSE: (10) is inconsistent.
% 172.38/26.68  | | 
% 172.38/26.68  | Case 2:
% 172.38/26.68  | | 
% 172.38/26.68  | |   (11)  all_56_4 = e1 | all_56_9 = e1
% 172.38/26.68  | | 
% 172.38/26.68  | | REF_CLOSE: (1), (2), (4), (6), (11) are inconsistent by sub-proof #503.
% 172.38/26.68  | | 
% 172.38/26.68  | End of split
% 172.38/26.68  | 
% 172.38/26.68  End of proof
% 172.38/26.68  
% 172.38/26.68  Sub-proof #288 shows that the following formulas are inconsistent:
% 172.38/26.68  ----------------------------------------------------------------
% 172.38/26.68    (1)   ~ (e3 = e1)
% 172.38/26.68    (2)  all_56_7 = e1
% 172.38/26.68    (3)   ~ (e3 = e2)
% 172.38/26.68    (4)  all_56_8 = e0
% 172.38/26.68    (5)  all_56_11 = e2
% 172.38/26.68    (6)   ~ (e3 = e0)
% 172.38/26.68    (7)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.38/26.68  
% 172.38/26.68  Begin of proof
% 172.38/26.68  | 
% 172.38/26.68  | BETA: splitting (7) gives:
% 172.38/26.68  | 
% 172.38/26.68  | Case 1:
% 172.38/26.68  | | 
% 172.38/26.68  | |   (8)  all_56_7 = e3
% 172.38/26.68  | | 
% 172.38/26.68  | | COMBINE_EQS: (2), (8) imply:
% 172.38/26.68  | |   (9)  e3 = e1
% 172.38/26.68  | | 
% 172.38/26.68  | | REDUCE: (1), (9) imply:
% 172.38/26.68  | |   (10)  $false
% 172.38/26.68  | | 
% 172.38/26.68  | | CLOSE: (10) is inconsistent.
% 172.38/26.68  | | 
% 172.38/26.68  | Case 2:
% 172.38/26.68  | | 
% 172.38/26.68  | |   (11)  all_56_8 = e3 | all_56_11 = e3
% 172.38/26.68  | | 
% 172.38/26.68  | | BETA: splitting (11) gives:
% 172.38/26.68  | | 
% 172.38/26.68  | | Case 1:
% 172.38/26.68  | | | 
% 172.38/26.68  | | |   (12)  all_56_8 = e3
% 172.38/26.68  | | | 
% 172.38/26.68  | | | COMBINE_EQS: (4), (12) imply:
% 172.38/26.68  | | |   (13)  e3 = e0
% 172.38/26.68  | | | 
% 172.38/26.68  | | | REDUCE: (6), (13) imply:
% 172.38/26.68  | | |   (14)  $false
% 172.38/26.68  | | | 
% 172.38/26.68  | | | CLOSE: (14) is inconsistent.
% 172.38/26.68  | | | 
% 172.38/26.68  | | Case 2:
% 172.38/26.68  | | | 
% 172.38/26.68  | | |   (15)  all_56_11 = e3
% 172.38/26.68  | | | 
% 172.38/26.68  | | | COMBINE_EQS: (5), (15) imply:
% 172.38/26.68  | | |   (16)  e3 = e2
% 172.38/26.68  | | | 
% 172.38/26.68  | | | REDUCE: (3), (16) imply:
% 172.38/26.68  | | |   (17)  $false
% 172.38/26.68  | | | 
% 172.38/26.68  | | | CLOSE: (17) is inconsistent.
% 172.38/26.68  | | | 
% 172.38/26.68  | | End of split
% 172.38/26.68  | | 
% 172.38/26.68  | End of split
% 172.38/26.68  | 
% 172.38/26.68  End of proof
% 172.38/26.68  
% 172.38/26.68  Sub-proof #289 shows that the following formulas are inconsistent:
% 172.38/26.68  ----------------------------------------------------------------
% 172.38/26.68    (1)  all_58_27 = e3
% 172.38/26.68    (2)   ~ (e3 = e1)
% 172.38/26.68    (3)  all_58_24 = e1
% 172.38/26.68    (4)  all_58_21 = e3
% 172.38/26.68    (5)  all_56_12 = e0
% 172.38/26.68    (6)  all_58_17 = e1
% 172.38/26.68    (7)  all_58_23 = e2
% 172.38/26.68    (8)  all_58_18 = e3
% 172.38/26.68    (9)  all_58_28 = e3
% 172.38/26.68    (10)  all_58_20 = e0
% 172.38/26.68    (11)   ~ (e3 = e2)
% 172.38/26.68    (12)   ~ (e2 = e1)
% 172.38/26.68    (13)  all_58_26 = e0
% 172.38/26.68    (14)   ~ (all_52_2 = e2)
% 172.38/26.68    (15)  all_58_16 = e2
% 172.38/26.68    (16)  all_58_19 = e0
% 172.38/26.68    (17)  all_58_22 = e1
% 172.38/26.68    (18)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.38/26.68    (19)  all_56_2 = all_52_1
% 172.38/26.68    (20)   ~ (e3 = e0)
% 172.38/26.68    (21)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | (all_58_17 = e3 &
% 172.38/26.68            all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) | (all_58_17 = e3 &
% 172.38/26.68            all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) | (all_58_17 = e3 &
% 172.38/26.68            all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) | (all_58_17 = e3 &
% 172.38/26.68            all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) | (all_58_17 = e2 &
% 172.38/26.68            all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) | (all_58_17 = e2 &
% 172.38/26.68            all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) | (all_58_17 = e2 &
% 172.38/26.68            all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) | (all_58_17 = e2 &
% 172.38/26.68            all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) | (all_58_17 = e2 &
% 172.38/26.68            all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 = e0 &
% 172.38/26.68            all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 172.38/26.68            all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 & all_58_24 = e3 &
% 172.38/26.68            all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 172.38/26.68            all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 & all_58_22 = e2 &
% 172.38/26.68            all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 172.38/26.68            all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 & all_58_24 = e1 &
% 172.38/26.68            e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 172.38/26.68            all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 172.38/26.68            all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 172.38/26.68            all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 172.38/26.68            all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.38/26.68          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 & all_58_29 = e0) |
% 172.38/26.68          (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 172.38/26.68          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 172.38/26.68          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.38/26.68          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 = e2 &
% 172.38/26.68            all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) | (all_58_23 = e0 &
% 172.38/26.68            all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) | (all_58_23 = e0 &
% 172.38/26.68            all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 = e0 & e1 =
% 172.38/26.68            e0)
% 172.38/26.68    (22)  all_56_0 = e2
% 172.38/26.68    (23)  all_56_6 = all_52_2
% 172.38/26.68    (24)  all_58_29 = e0
% 172.38/26.68    (25)   ~ (all_52_1 = e2)
% 172.38/26.68    (26)   ~ (e2 = e0)
% 172.38/26.68    (27)  all_58_30 = e2
% 172.38/26.68    (28)   ~ (e1 = e0)
% 172.38/26.68    (29)  all_58_25 = e2
% 172.38/26.68  
% 172.38/26.68  Begin of proof
% 172.38/26.68  | 
% 172.38/26.68  | BETA: splitting (21) gives:
% 172.38/26.68  | 
% 172.38/26.68  | Case 1:
% 172.38/26.68  | | 
% 172.38/26.68  | |   (30)  all_58_26 = e1
% 172.38/26.68  | | 
% 172.38/26.68  | | COMBINE_EQS: (13), (30) imply:
% 172.38/26.68  | |   (31)  e1 = e0
% 172.38/26.68  | | 
% 172.38/26.68  | | REDUCE: (28), (31) imply:
% 172.38/26.68  | |   (32)  $false
% 172.38/26.68  | | 
% 172.38/26.68  | | CLOSE: (32) is inconsistent.
% 172.38/26.68  | | 
% 172.38/26.68  | Case 2:
% 172.38/26.68  | | 
% 172.38/26.68  | |   (33)   ~ (all_58_26 = e1)
% 172.38/26.68  | |   (34)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3 & all_58_18 = e1 &
% 172.38/26.68  | |           all_58_20 = e3 & all_58_24 = e1) | (all_58_17 = e3 & all_58_19 =
% 172.38/26.68  | |           e0 & all_58_20 = e3 & all_58_28 = e0) | (all_58_17 = e3 &
% 172.38/26.68  | |           all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) | (all_58_17 =
% 172.38/26.68  | |           e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.38/26.68  | |         (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3)
% 172.38/26.68  | |         | (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 =
% 172.38/26.68  | |           e3) | (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 172.38/26.68  | |           all_58_25 = e1) | (all_58_17 = e2 & all_58_20 = e2 & all_58_23 =
% 172.38/26.68  | |           e0 & all_58_29 = e0) | (all_58_17 = e2 & all_58_20 = e2 & e3 = e2)
% 172.38/26.68  | |         | (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 & all_58_28 =
% 172.38/26.68  | |           e0) | (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 &
% 172.38/26.68  | |           all_58_25 = e1) | (all_58_18 = e3 & all_58_24 = e3 & all_58_27 =
% 172.38/26.68  | |           e1 & all_58_30 = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 172.38/26.68  | |           all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 & all_58_22 =
% 172.38/26.68  | |           e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.38/26.68  | |           all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 =
% 172.38/26.68  | |           e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0
% 172.38/26.68  | |           & all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 =
% 172.38/26.68  | |           e0 & all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 &
% 172.38/26.68  | |           all_58_23 = e2 & all_58_28 = e0 & all_58_29 = e2) | (all_58_19 =
% 172.38/26.68  | |           e0 & all_58_27 = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.38/26.68  | |         (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2 &
% 172.38/26.68  | |           all_58_23 = e0 & all_58_25 = e2 & all_58_29 = e0) | (all_58_22 =
% 172.38/26.68  | |           e2 & all_58_25 = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 172.38/26.68  | |         (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29 = e2)
% 172.38/26.68  | |         | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 & all_58_30 =
% 172.38/26.68  | |           e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 =
% 172.38/26.68  | |           e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.38/26.68  | |         (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1)
% 172.38/26.68  | |         | (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.38/26.68  | |           all_58_30 = e0 & e1 = e0)
% 172.38/26.68  | | 
% 172.38/26.68  | | REDUCE: (13), (33) imply:
% 172.38/26.68  | |   (35)   ~ (e1 = e0)
% 172.38/26.68  | | 
% 172.38/26.68  | | BETA: splitting (34) gives:
% 172.38/26.68  | | 
% 172.38/26.68  | | Case 1:
% 172.38/26.68  | | | 
% 172.38/26.68  | | |   (36)  all_58_21 = e2
% 172.38/26.68  | | | 
% 172.38/26.68  | | | COMBINE_EQS: (4), (36) imply:
% 172.38/26.68  | | |   (37)  e3 = e2
% 172.38/26.68  | | | 
% 172.38/26.68  | | | REDUCE: (11), (37) imply:
% 172.38/26.68  | | |   (38)  $false
% 172.38/26.68  | | | 
% 172.38/26.68  | | | CLOSE: (38) is inconsistent.
% 172.38/26.68  | | | 
% 172.38/26.68  | | Case 2:
% 172.38/26.68  | | | 
% 172.38/26.68  | | |   (39)   ~ (all_58_21 = e2)
% 172.38/26.68  | | |   (40)  all_58_16 = e3 | (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.38/26.68  | | |           & all_58_24 = e1) | (all_58_17 = e3 & all_58_19 = e0 & all_58_20
% 172.38/26.68  | | |           = e3 & all_58_28 = e0) | (all_58_17 = e3 & all_58_20 = e3 &
% 172.38/26.68  | | |           all_58_22 = e2 & all_58_25 = e2) | (all_58_17 = e3 & all_58_20 =
% 172.38/26.68  | | |           e3 & all_58_23 = e2 & all_58_29 = e2) | (all_58_17 = e2 &
% 172.38/26.68  | | |           all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) | (all_58_17 =
% 172.38/26.68  | | |           e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.38/26.68  | | |         (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 =
% 172.38/26.68  | | |           e1) | (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 172.38/26.68  | | |           all_58_29 = e0) | (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 172.38/26.68  | | |         (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 & all_58_28 =
% 172.38/26.68  | | |           e0) | (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 &
% 172.38/26.68  | | |           all_58_25 = e1) | (all_58_18 = e3 & all_58_24 = e3 & all_58_27 =
% 172.38/26.68  | | |           e1 & all_58_30 = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 172.38/26.68  | | |           all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 & all_58_22 =
% 172.38/26.68  | | |           e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.38/26.68  | | |           all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 =
% 172.38/26.68  | | |           e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 =
% 172.38/26.68  | | |           e0 & all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 &
% 172.38/26.68  | | |           all_58_27 = e0 & all_58_28 = e3 & all_58_30 = e0) | (all_58_19 =
% 172.38/26.68  | | |           e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 172.38/26.68  | | |         (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 & all_58_30 =
% 172.38/26.68  | | |           e1) | (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 =
% 172.38/26.68  | | |           e2 & all_58_23 = e0 & all_58_25 = e2 & all_58_29 = e0) |
% 172.38/26.68  | | |         (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 & all_58_30 =
% 172.38/26.68  | | |           e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.38/26.68  | | |           all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 =
% 172.38/26.68  | | |           e0 & all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 =
% 172.38/26.68  | | |           e1) | (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 172.38/26.68  | | |           all_58_30 = e0) | (all_58_23 = e0 & all_58_27 = e1 & all_58_29 =
% 172.38/26.68  | | |           e0 & all_58_30 = e1) | (all_58_23 = e0 & all_58_29 = e0 & e2 =
% 172.38/26.68  | | |           e0) | (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.38/26.68  | | | 
% 172.38/26.68  | | | BETA: splitting (40) gives:
% 172.38/26.68  | | | 
% 172.38/26.68  | | | Case 1:
% 172.38/26.68  | | | | 
% 172.38/26.68  | | | |   (41)  all_58_16 = e3
% 172.38/26.68  | | | | 
% 172.38/26.68  | | | | COMBINE_EQS: (15), (41) imply:
% 172.38/26.68  | | | |   (42)  e3 = e2
% 172.38/26.68  | | | | 
% 172.38/26.68  | | | | REDUCE: (11), (42) imply:
% 172.38/26.68  | | | |   (43)  $false
% 172.38/26.68  | | | | 
% 172.38/26.68  | | | | CLOSE: (43) is inconsistent.
% 172.38/26.68  | | | | 
% 172.38/26.68  | | | Case 2:
% 172.38/26.68  | | | | 
% 172.38/26.68  | | | |   (44)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 =
% 172.38/26.68  | | | |           e1) | (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 172.38/26.68  | | | |           all_58_28 = e0) | (all_58_17 = e3 & all_58_20 = e3 & all_58_22
% 172.38/26.68  | | | |           = e2 & all_58_25 = e2) | (all_58_17 = e3 & all_58_20 = e3 &
% 172.38/26.68  | | | |           all_58_23 = e2 & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 172.38/26.68  | | | |           = e3 & all_58_20 = e2 & all_58_24 = e3) | (all_58_17 = e2 &
% 172.38/26.68  | | | |           all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) | (all_58_17
% 172.38/26.68  | | | |           = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.38/26.68  | | | |         (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 =
% 172.38/26.68  | | | |           e0) | (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18
% 172.38/26.68  | | | |           = e3 & all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) |
% 172.38/26.68  | | | |         (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 & all_58_25 =
% 172.38/26.68  | | | |           e1) | (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 172.38/26.68  | | | |           all_58_30 = e1) | (all_58_18 = e1 & all_58_19 = e3 & all_58_24
% 172.38/26.68  | | | |           = e1 & all_58_28 = e3) | (all_58_18 = e1 & all_58_22 = e2 &
% 172.38/26.68  | | | |           all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.38/26.68  | | | |           = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.38/26.69  | | | |           all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.38/26.69  | | | |           all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.38/26.69  | | | |           = e0 & all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 &
% 172.38/26.69  | | | |           all_58_23 = e2 & all_58_28 = e0 & all_58_29 = e2) | (all_58_19
% 172.38/26.69  | | | |           = e0 & all_58_27 = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.38/26.69  | | | |         (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2 &
% 172.38/26.69  | | | |           all_58_23 = e0 & all_58_25 = e2 & all_58_29 = e0) | (all_58_22
% 172.38/26.69  | | | |           = e2 & all_58_25 = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 172.38/26.69  | | | |         (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29 =
% 172.38/26.69  | | | |           e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.38/26.69  | | | |           all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1)
% 172.38/26.69  | | | |         | (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30
% 172.38/26.69  | | | |           = e0) | (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 172.38/26.69  | | | |           all_58_30 = e1) | (all_58_23 = e0 & all_58_29 = e0 & e2 = e0)
% 172.38/26.69  | | | |         | (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.38/26.69  | | | | 
% 172.38/26.69  | | | | BETA: splitting (44) gives:
% 172.38/26.69  | | | | 
% 172.38/26.69  | | | | Case 1:
% 172.38/26.69  | | | | | 
% 172.38/26.69  | | | | |   (45)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24
% 172.38/26.69  | | | | |           = e1) | (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 172.38/26.69  | | | | |           all_58_28 = e0) | (all_58_17 = e3 & all_58_20 = e3 &
% 172.38/26.69  | | | | |           all_58_22 = e2 & all_58_25 = e2) | (all_58_17 = e3 &
% 172.38/26.69  | | | | |           all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.38/26.69  | | | | |         (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24
% 172.38/26.69  | | | | |           = e3) | (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 &
% 172.38/26.69  | | | | |           all_58_28 = e3) | (all_58_17 = e2 & all_58_20 = e2 &
% 172.38/26.69  | | | | |           all_58_22 = e1 & all_58_25 = e1) | (all_58_17 = e2 &
% 172.38/26.69  | | | | |           all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.38/26.69  | | | | |         (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3
% 172.38/26.69  | | | | |           & all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) |
% 172.38/26.69  | | | | |         (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 & all_58_25
% 172.38/26.69  | | | | |           = e1) | (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 172.38/26.69  | | | | |           all_58_30 = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 172.38/26.69  | | | | |           all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.38/26.69  | | | | |           all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 172.38/26.69  | | | | |         (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 & all_58_30
% 172.38/26.69  | | | | |           = e0)
% 172.38/26.69  | | | | | 
% 172.38/26.69  | | | | | BETA: splitting (45) gives:
% 172.38/26.69  | | | | | 
% 172.38/26.69  | | | | | Case 1:
% 172.38/26.69  | | | | | | 
% 172.38/26.69  | | | | | |   (46)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 172.38/26.69  | | | | | |           all_58_24 = e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 172.38/26.69  | | | | | |           all_58_20 = e3 & all_58_28 = e0) | (all_58_17 = e3 &
% 172.38/26.69  | | | | | |           all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.38/26.69  | | | | | |         (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 172.38/26.69  | | | | | |           all_58_29 = e2) | (all_58_17 = e2 & all_58_18 = e3 &
% 172.38/26.69  | | | | | |           all_58_20 = e2 & all_58_24 = e3) | (all_58_17 = e2 &
% 172.38/26.69  | | | | | |           all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.38/26.69  | | | | | |         (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 172.38/26.69  | | | | | |           all_58_25 = e1)
% 172.38/26.69  | | | | | | 
% 172.38/26.69  | | | | | | BETA: splitting (46) gives:
% 172.38/26.69  | | | | | | 
% 172.38/26.69  | | | | | | Case 1:
% 172.38/26.69  | | | | | | | 
% 172.38/26.69  | | | | | | |   (47)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 172.38/26.69  | | | | | | |           all_58_24 = e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 172.38/26.69  | | | | | | |           all_58_20 = e3 & all_58_28 = e0) | (all_58_17 = e3 &
% 172.38/26.69  | | | | | | |           all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2)
% 172.38/26.69  | | | | | | | 
% 172.38/26.69  | | | | | | | BETA: splitting (47) gives:
% 172.38/26.69  | | | | | | | 
% 172.38/26.69  | | | | | | | Case 1:
% 172.38/26.69  | | | | | | | | 
% 172.38/26.69  | | | | | | | |   (48)  all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 172.38/26.69  | | | | | | | |         all_58_24 = e1
% 172.38/26.69  | | | | | | | | 
% 172.38/26.69  | | | | | | | | ALPHA: (48) implies:
% 172.38/26.69  | | | | | | | |   (49)  all_58_20 = e3
% 172.38/26.69  | | | | | | | |   (50)  all_58_18 = e1
% 172.38/26.69  | | | | | | | | 
% 172.38/26.69  | | | | | | | | COMBINE_EQS: (8), (50) imply:
% 172.38/26.69  | | | | | | | |   (51)  e3 = e1
% 172.38/26.69  | | | | | | | | 
% 172.38/26.69  | | | | | | | | REF_CLOSE: (10), (28), (49), (51) are inconsistent by sub-proof
% 172.38/26.69  | | | | | | | |            #297.
% 172.38/26.69  | | | | | | | | 
% 172.38/26.69  | | | | | | | Case 2:
% 172.38/26.69  | | | | | | | | 
% 172.38/26.69  | | | | | | | |   (52)  (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 172.38/26.69  | | | | | | | |           all_58_28 = e0) | (all_58_17 = e3 & all_58_20 = e3 &
% 172.38/26.69  | | | | | | | |           all_58_22 = e2 & all_58_25 = e2)
% 172.38/26.69  | | | | | | | | 
% 172.38/26.69  | | | | | | | | BETA: splitting (52) gives:
% 172.38/26.69  | | | | | | | | 
% 172.38/26.69  | | | | | | | | Case 1:
% 172.38/26.69  | | | | | | | | | 
% 172.38/26.69  | | | | | | | | |   (53)  all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 172.38/26.69  | | | | | | | | |         all_58_28 = e0
% 172.38/26.69  | | | | | | | | | 
% 172.38/26.69  | | | | | | | | | ALPHA: (53) implies:
% 172.38/26.69  | | | | | | | | |   (54)  all_58_28 = e0
% 172.38/26.69  | | | | | | | | |   (55)  all_58_17 = e3
% 172.38/26.69  | | | | | | | | | 
% 172.38/26.69  | | | | | | | | | COMBINE_EQS: (6), (55) imply:
% 172.38/26.69  | | | | | | | | |   (56)  e3 = e1
% 172.38/26.69  | | | | | | | | | 
% 172.38/26.69  | | | | | | | | | REF_CLOSE: (9), (28), (54), (56) are inconsistent by sub-proof
% 172.38/26.69  | | | | | | | | |            #296.
% 172.38/26.69  | | | | | | | | | 
% 172.38/26.69  | | | | | | | | Case 2:
% 172.38/26.69  | | | | | | | | | 
% 172.38/26.69  | | | | | | | | |   (57)  all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 &
% 172.38/26.69  | | | | | | | | |         all_58_25 = e2
% 172.38/26.69  | | | | | | | | | 
% 172.38/26.69  | | | | | | | | | ALPHA: (57) implies:
% 172.38/26.69  | | | | | | | | |   (58)  all_58_20 = e3
% 172.38/26.69  | | | | | | | | |   (59)  all_58_17 = e3
% 172.38/26.69  | | | | | | | | | 
% 172.38/26.69  | | | | | | | | | COMBINE_EQS: (6), (59) imply:
% 172.38/26.69  | | | | | | | | |   (60)  e3 = e1
% 172.38/26.69  | | | | | | | | | 
% 172.38/26.69  | | | | | | | | | SIMP: (60) implies:
% 172.38/26.69  | | | | | | | | |   (61)  e3 = e1
% 172.38/26.69  | | | | | | | | | 
% 172.38/26.69  | | | | | | | | | COMBINE_EQS: (10), (58) imply:
% 172.38/26.69  | | | | | | | | |   (62)  e3 = e0
% 172.38/26.69  | | | | | | | | | 
% 172.38/26.69  | | | | | | | | | REF_CLOSE: (28), (61), (62) are inconsistent by sub-proof
% 172.38/26.69  | | | | | | | | |            #310.
% 172.38/26.69  | | | | | | | | | 
% 172.38/26.69  | | | | | | | | End of split
% 172.38/26.69  | | | | | | | | 
% 172.38/26.69  | | | | | | | End of split
% 172.38/26.69  | | | | | | | 
% 172.38/26.69  | | | | | | Case 2:
% 172.38/26.69  | | | | | | | 
% 172.38/26.69  | | | | | | |   (63)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 172.38/26.69  | | | | | | |           all_58_29 = e2) | (all_58_17 = e2 & all_58_18 = e3 &
% 172.38/26.69  | | | | | | |           all_58_20 = e2 & all_58_24 = e3) | (all_58_17 = e2 &
% 172.38/26.69  | | | | | | |           all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.38/26.69  | | | | | | |         (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 172.38/26.69  | | | | | | |           all_58_25 = e1)
% 172.38/26.69  | | | | | | | 
% 172.38/26.69  | | | | | | | BETA: splitting (63) gives:
% 172.38/26.69  | | | | | | | 
% 172.38/26.69  | | | | | | | Case 1:
% 172.38/26.69  | | | | | | | | 
% 172.38/26.69  | | | | | | | |   (64)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 172.38/26.69  | | | | | | | |           all_58_29 = e2) | (all_58_17 = e2 & all_58_18 = e3 &
% 172.38/26.69  | | | | | | | |           all_58_20 = e2 & all_58_24 = e3)
% 172.38/26.69  | | | | | | | | 
% 172.38/26.69  | | | | | | | | BETA: splitting (64) gives:
% 172.38/26.69  | | | | | | | | 
% 172.38/26.69  | | | | | | | | Case 1:
% 172.38/26.69  | | | | | | | | | 
% 172.38/26.69  | | | | | | | | |   (65)  all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 172.38/26.69  | | | | | | | | |         all_58_29 = e2
% 172.38/26.69  | | | | | | | | | 
% 172.38/26.69  | | | | | | | | | ALPHA: (65) implies:
% 172.38/26.69  | | | | | | | | |   (66)  all_58_20 = e3
% 172.38/26.69  | | | | | | | | |   (67)  all_58_17 = e3
% 172.38/26.69  | | | | | | | | | 
% 172.38/26.69  | | | | | | | | | COMBINE_EQS: (6), (67) imply:
% 172.38/26.69  | | | | | | | | |   (68)  e3 = e1
% 172.38/26.69  | | | | | | | | | 
% 172.38/26.69  | | | | | | | | | REF_CLOSE: (10), (28), (66), (68) are inconsistent by
% 172.38/26.69  | | | | | | | | |            sub-proof #297.
% 172.38/26.69  | | | | | | | | | 
% 172.38/26.69  | | | | | | | | Case 2:
% 172.38/26.69  | | | | | | | | | 
% 172.38/26.69  | | | | | | | | |   (69)  all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 172.38/26.69  | | | | | | | | |         all_58_24 = e3
% 172.38/26.69  | | | | | | | | | 
% 172.38/26.69  | | | | | | | | | ALPHA: (69) implies:
% 172.38/26.69  | | | | | | | | |   (70)  all_58_20 = e2
% 172.38/26.69  | | | | | | | | |   (71)  all_58_17 = e2
% 172.38/26.69  | | | | | | | | | 
% 172.38/26.69  | | | | | | | | | COMBINE_EQS: (6), (71) imply:
% 172.38/26.69  | | | | | | | | |   (72)  e2 = e1
% 172.38/26.69  | | | | | | | | | 
% 172.38/26.69  | | | | | | | | | SIMP: (72) implies:
% 172.38/26.69  | | | | | | | | |   (73)  e2 = e1
% 172.38/26.69  | | | | | | | | | 
% 172.38/26.69  | | | | | | | | | COMBINE_EQS: (10), (70) imply:
% 172.38/26.69  | | | | | | | | |   (74)  e2 = e0
% 172.38/26.69  | | | | | | | | | 
% 172.38/26.69  | | | | | | | | | COMBINE_EQS: (73), (74) imply:
% 172.38/26.69  | | | | | | | | |   (75)  e1 = e0
% 172.38/26.69  | | | | | | | | | 
% 172.38/26.69  | | | | | | | | | REDUCE: (28), (75) imply:
% 172.38/26.69  | | | | | | | | |   (76)  $false
% 172.38/26.69  | | | | | | | | | 
% 172.38/26.69  | | | | | | | | | CLOSE: (76) is inconsistent.
% 172.38/26.69  | | | | | | | | | 
% 172.38/26.69  | | | | | | | | End of split
% 172.38/26.69  | | | | | | | | 
% 172.38/26.69  | | | | | | | Case 2:
% 172.38/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | |   (77)  (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 &
% 172.42/26.69  | | | | | | | |           all_58_28 = e3) | (all_58_17 = e2 & all_58_20 = e2 &
% 172.42/26.69  | | | | | | | |           all_58_22 = e1 & all_58_25 = e1)
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | | BETA: splitting (77) gives:
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | | Case 1:
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | |   (78)  all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 &
% 172.42/26.69  | | | | | | | | |         all_58_28 = e3
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | ALPHA: (78) implies:
% 172.42/26.69  | | | | | | | | |   (79)  all_58_20 = e2
% 172.42/26.69  | | | | | | | | |   (80)  all_58_17 = e2
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | REF_CLOSE: (6), (10), (28), (79), (80) are inconsistent by
% 172.42/26.69  | | | | | | | | |            sub-proof #295.
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | Case 2:
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | |   (81)  all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 172.42/26.69  | | | | | | | | |         all_58_25 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | ALPHA: (81) implies:
% 172.42/26.69  | | | | | | | | |   (82)  all_58_25 = e1
% 172.42/26.69  | | | | | | | | |   (83)  all_58_20 = e2
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | COMBINE_EQS: (10), (83) imply:
% 172.42/26.69  | | | | | | | | |   (84)  e2 = e0
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | COMBINE_EQS: (29), (82) imply:
% 172.42/26.69  | | | | | | | | |   (85)  e2 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | SIMP: (85) implies:
% 172.42/26.69  | | | | | | | | |   (86)  e2 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | COMBINE_EQS: (84), (86) imply:
% 172.42/26.69  | | | | | | | | |   (87)  e1 = e0
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | REDUCE: (28), (87) imply:
% 172.42/26.69  | | | | | | | | |   (88)  $false
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | CLOSE: (88) is inconsistent.
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | End of split
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | End of split
% 172.42/26.69  | | | | | | | 
% 172.42/26.69  | | | | | | End of split
% 172.42/26.69  | | | | | | 
% 172.42/26.69  | | | | | Case 2:
% 172.42/26.69  | | | | | | 
% 172.42/26.69  | | | | | |   (89)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 172.42/26.69  | | | | | |           all_58_29 = e0) | (all_58_17 = e2 & all_58_20 = e2 & e3 =
% 172.42/26.69  | | | | | |           e2) | (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 172.42/26.69  | | | | | |           all_58_28 = e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 172.42/26.69  | | | | | |           all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.42/26.69  | | | | | |           all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 172.42/26.69  | | | | | |         (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 172.42/26.69  | | | | | |           all_58_28 = e3) | (all_58_18 = e1 & all_58_22 = e2 &
% 172.42/26.69  | | | | | |           all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.42/26.69  | | | | | |           all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0)
% 172.42/26.69  | | | | | | 
% 172.42/26.69  | | | | | | BETA: splitting (89) gives:
% 172.42/26.69  | | | | | | 
% 172.42/26.69  | | | | | | Case 1:
% 172.42/26.69  | | | | | | | 
% 172.42/26.69  | | | | | | |   (90)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 172.42/26.69  | | | | | | |           all_58_29 = e0) | (all_58_17 = e2 & all_58_20 = e2 & e3
% 172.42/26.69  | | | | | | |           = e2) | (all_58_18 = e3 & all_58_19 = e0 & all_58_24 =
% 172.42/26.69  | | | | | | |           e3 & all_58_28 = e0) | (all_58_18 = e3 & all_58_22 = e1
% 172.42/26.69  | | | | | | |           & all_58_24 = e3 & all_58_25 = e1)
% 172.42/26.69  | | | | | | | 
% 172.42/26.69  | | | | | | | BETA: splitting (90) gives:
% 172.42/26.69  | | | | | | | 
% 172.42/26.69  | | | | | | | Case 1:
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | |   (91)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 172.42/26.69  | | | | | | | |           all_58_29 = e0) | (all_58_17 = e2 & all_58_20 = e2 &
% 172.42/26.69  | | | | | | | |           e3 = e2)
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | | BETA: splitting (91) gives:
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | | Case 1:
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | |   (92)  all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 172.42/26.69  | | | | | | | | |         all_58_29 = e0
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | ALPHA: (92) implies:
% 172.42/26.69  | | | | | | | | |   (93)  all_58_23 = e0
% 172.42/26.69  | | | | | | | | |   (94)  all_58_17 = e2
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | COMBINE_EQS: (6), (94) imply:
% 172.42/26.69  | | | | | | | | |   (95)  e2 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | REF_CLOSE: (7), (28), (93), (95) are inconsistent by sub-proof
% 172.42/26.69  | | | | | | | | |            #294.
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | Case 2:
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | |   (96)  all_58_17 = e2 & all_58_20 = e2 & e3 = e2
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | ALPHA: (96) implies:
% 172.42/26.69  | | | | | | | | |   (97)  all_58_20 = e2
% 172.42/26.69  | | | | | | | | |   (98)  all_58_17 = e2
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | REF_CLOSE: (6), (10), (28), (97), (98) are inconsistent by
% 172.42/26.69  | | | | | | | | |            sub-proof #295.
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | End of split
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | Case 2:
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | |   (99)  (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 172.42/26.69  | | | | | | | |           all_58_28 = e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 172.42/26.69  | | | | | | | |           all_58_24 = e3 & all_58_25 = e1)
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | | BETA: splitting (99) gives:
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | | Case 1:
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | |   (100)  all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 172.42/26.69  | | | | | | | | |          all_58_28 = e0
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | ALPHA: (100) implies:
% 172.42/26.69  | | | | | | | | |   (101)  all_58_28 = e0
% 172.42/26.69  | | | | | | | | |   (102)  all_58_24 = e3
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | COMBINE_EQS: (3), (102) imply:
% 172.42/26.69  | | | | | | | | |   (103)  e3 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | COMBINE_EQS: (9), (101) imply:
% 172.42/26.69  | | | | | | | | |   (104)  e3 = e0
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | SIMP: (104) implies:
% 172.42/26.69  | | | | | | | | |   (105)  e3 = e0
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | REF_CLOSE: (28), (103), (105) are inconsistent by sub-proof
% 172.42/26.69  | | | | | | | | |            #310.
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | Case 2:
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | |   (106)  all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 &
% 172.42/26.69  | | | | | | | | |          all_58_25 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | ALPHA: (106) implies:
% 172.42/26.69  | | | | | | | | |   (107)  all_58_25 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | COMBINE_EQS: (29), (107) imply:
% 172.42/26.69  | | | | | | | | |   (108)  e2 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | REF_CLOSE: (5), (12), (14), (18), (19), (22), (23), (25),
% 172.42/26.69  | | | | | | | | |            (26), (108) are inconsistent by sub-proof #321.
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | End of split
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | End of split
% 172.42/26.69  | | | | | | | 
% 172.42/26.69  | | | | | | Case 2:
% 172.42/26.69  | | | | | | | 
% 172.42/26.69  | | | | | | |   (109)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 172.42/26.69  | | | | | | |            all_58_30 = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 172.42/26.69  | | | | | | |            all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.42/26.69  | | | | | | |            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 172.42/26.69  | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 172.42/26.69  | | | | | | |            all_58_30 = e0)
% 172.42/26.69  | | | | | | | 
% 172.42/26.69  | | | | | | | BETA: splitting (109) gives:
% 172.42/26.69  | | | | | | | 
% 172.42/26.69  | | | | | | | Case 1:
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | |   (110)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 172.42/26.69  | | | | | | | |            all_58_30 = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 172.42/26.69  | | | | | | | |            all_58_24 = e1 & all_58_28 = e3)
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | | BETA: splitting (110) gives:
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | | Case 1:
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | |   (111)  all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 172.42/26.69  | | | | | | | | |          all_58_30 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | ALPHA: (111) implies:
% 172.42/26.69  | | | | | | | | |   (112)  all_58_30 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | REF_CLOSE: (5), (12), (14), (18), (19), (22), (23), (25),
% 172.42/26.69  | | | | | | | | |            (26), (27), (112) are inconsistent by sub-proof
% 172.42/26.69  | | | | | | | | |            #293.
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | Case 2:
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | |   (113)  all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 172.42/26.69  | | | | | | | | |          all_58_28 = e3
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | ALPHA: (113) implies:
% 172.42/26.69  | | | | | | | | |   (114)  all_58_19 = e3
% 172.42/26.69  | | | | | | | | |   (115)  all_58_18 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | COMBINE_EQS: (8), (115) imply:
% 172.42/26.69  | | | | | | | | |   (116)  e3 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | SIMP: (116) implies:
% 172.42/26.69  | | | | | | | | |   (117)  e3 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | COMBINE_EQS: (16), (114) imply:
% 172.42/26.69  | | | | | | | | |   (118)  e3 = e0
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | REF_CLOSE: (28), (117), (118) are inconsistent by sub-proof
% 172.42/26.69  | | | | | | | | |            #310.
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | End of split
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | Case 2:
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | |   (119)  (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 &
% 172.42/26.69  | | | | | | | |            all_58_25 = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 172.42/26.69  | | | | | | | |            all_58_27 = e0 & all_58_30 = e0)
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | | BETA: splitting (119) gives:
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | | Case 1:
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | |   (120)  all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 &
% 172.42/26.69  | | | | | | | | |          all_58_25 = e2
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | ALPHA: (120) implies:
% 172.42/26.69  | | | | | | | | |   (121)  all_58_22 = e2
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | COMBINE_EQS: (17), (121) imply:
% 172.42/26.69  | | | | | | | | |   (122)  e2 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | REF_CLOSE: (5), (12), (14), (18), (19), (22), (23), (25),
% 172.42/26.69  | | | | | | | | |            (26), (122) are inconsistent by sub-proof #321.
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | Case 2:
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | |   (123)  all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 172.42/26.69  | | | | | | | | |          all_58_30 = e0
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | ALPHA: (123) implies:
% 172.42/26.69  | | | | | | | | |   (124)  all_58_27 = e0
% 172.42/26.69  | | | | | | | | |   (125)  all_58_18 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | COMBINE_EQS: (8), (125) imply:
% 172.42/26.69  | | | | | | | | |   (126)  e3 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | SIMP: (126) implies:
% 172.42/26.69  | | | | | | | | |   (127)  e3 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | COMBINE_EQS: (1), (124) imply:
% 172.42/26.69  | | | | | | | | |   (128)  e3 = e0
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | REF_CLOSE: (28), (127), (128) are inconsistent by sub-proof
% 172.42/26.69  | | | | | | | | |            #306.
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | End of split
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | End of split
% 172.42/26.69  | | | | | | | 
% 172.42/26.69  | | | | | | End of split
% 172.42/26.69  | | | | | | 
% 172.42/26.69  | | | | | End of split
% 172.42/26.69  | | | | | 
% 172.42/26.69  | | | | Case 2:
% 172.42/26.69  | | | | | 
% 172.42/26.69  | | | | |   (129)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3
% 172.42/26.69  | | | | |            & all_58_23 = e0 & all_58_28 = e3 & all_58_29 = e0) |
% 172.42/26.69  | | | | |          (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 & all_58_30
% 172.42/26.69  | | | | |            = e0) | (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 172.42/26.69  | | | | |            all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.42/26.69  | | | | |            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 &
% 172.42/26.69  | | | | |            all_58_28 = e0 & e3 = e0) | (all_58_22 = e2 & all_58_23 =
% 172.42/26.69  | | | | |            e0 & all_58_25 = e2 & all_58_29 = e0) | (all_58_22 = e2 &
% 172.42/26.69  | | | | |            all_58_25 = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 172.42/26.69  | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29
% 172.42/26.69  | | | | |            = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.42/26.69  | | | | |            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 =
% 172.42/26.69  | | | | |            e1) | (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 172.42/26.69  | | | | |            all_58_30 = e0) | (all_58_23 = e0 & all_58_27 = e1 &
% 172.42/26.69  | | | | |            all_58_29 = e0 & all_58_30 = e1) | (all_58_23 = e0 &
% 172.42/26.69  | | | | |            all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 172.42/26.69  | | | | |            e0 & e1 = e0)
% 172.42/26.69  | | | | | 
% 172.42/26.69  | | | | | BETA: splitting (129) gives:
% 172.42/26.69  | | | | | 
% 172.42/26.69  | | | | | Case 1:
% 172.42/26.69  | | | | | | 
% 172.42/26.69  | | | | | |   (130)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 =
% 172.42/26.69  | | | | | |            e3 & all_58_23 = e0 & all_58_28 = e3 & all_58_29 = e0) |
% 172.42/26.69  | | | | | |          (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 172.42/26.69  | | | | | |            all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.42/26.69  | | | | | |            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 &
% 172.42/26.69  | | | | | |            all_58_27 = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.42/26.69  | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 =
% 172.42/26.69  | | | | | |            e2 & all_58_23 = e0 & all_58_25 = e2 & all_58_29 = e0)
% 172.42/26.69  | | | | | | 
% 172.42/26.69  | | | | | | BETA: splitting (130) gives:
% 172.42/26.69  | | | | | | 
% 172.42/26.69  | | | | | | Case 1:
% 172.42/26.69  | | | | | | | 
% 172.42/26.69  | | | | | | |   (131)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) | (all_58_19
% 172.42/26.69  | | | | | | |            = e3 & all_58_23 = e0 & all_58_28 = e3 & all_58_29 =
% 172.42/26.69  | | | | | | |            e0) | (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3
% 172.42/26.69  | | | | | | |            & all_58_30 = e0)
% 172.42/26.69  | | | | | | | 
% 172.42/26.69  | | | | | | | BETA: splitting (131) gives:
% 172.42/26.69  | | | | | | | 
% 172.42/26.69  | | | | | | | Case 1:
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | |   (132)  all_58_18 = e1 & all_58_24 = e1 & e3 = e1
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | | ALPHA: (132) implies:
% 172.42/26.69  | | | | | | | |   (133)  all_58_18 = e1
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | | REF_CLOSE: (2), (8), (133) are inconsistent by sub-proof #589.
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | Case 2:
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | |   (134)  (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 172.42/26.69  | | | | | | | |            all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.42/26.69  | | | | | | | |            all_58_28 = e3 & all_58_30 = e0)
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | | BETA: splitting (134) gives:
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | | Case 1:
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | |   (135)  all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 172.42/26.69  | | | | | | | | |          all_58_29 = e0
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | ALPHA: (135) implies:
% 172.42/26.69  | | | | | | | | |   (136)  all_58_23 = e0
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | REF_CLOSE: (7), (26), (136) are inconsistent by sub-proof
% 172.42/26.69  | | | | | | | | |            #586.
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | Case 2:
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | |   (137)  all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 172.42/26.69  | | | | | | | | |          all_58_30 = e0
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | ALPHA: (137) implies:
% 172.42/26.69  | | | | | | | | |   (138)  all_58_30 = e0
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | COMBINE_EQS: (27), (138) imply:
% 172.42/26.69  | | | | | | | | |   (139)  e2 = e0
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | REDUCE: (26), (139) imply:
% 172.42/26.69  | | | | | | | | |   (140)  $false
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | CLOSE: (140) is inconsistent.
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | End of split
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | End of split
% 172.42/26.69  | | | | | | | 
% 172.42/26.69  | | | | | | Case 2:
% 172.42/26.69  | | | | | | | 
% 172.42/26.69  | | | | | | |   (141)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 172.42/26.69  | | | | | | |            all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.42/26.69  | | | | | | |            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 &
% 172.42/26.69  | | | | | | |            all_58_28 = e0 & e3 = e0) | (all_58_22 = e2 & all_58_23
% 172.42/26.69  | | | | | | |            = e0 & all_58_25 = e2 & all_58_29 = e0)
% 172.42/26.69  | | | | | | | 
% 172.42/26.69  | | | | | | | BETA: splitting (141) gives:
% 172.42/26.69  | | | | | | | 
% 172.42/26.69  | | | | | | | Case 1:
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | |   (142)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 172.42/26.69  | | | | | | | |            all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.42/26.69  | | | | | | | |            all_58_28 = e0 & all_58_30 = e1)
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | | BETA: splitting (142) gives:
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | | Case 1:
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | |   (143)  all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 172.42/26.69  | | | | | | | | |          all_58_29 = e2
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | ALPHA: (143) implies:
% 172.42/26.69  | | | | | | | | |   (144)  all_58_29 = e2
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | REF_CLOSE: (24), (26), (144) are inconsistent by sub-proof
% 172.42/26.69  | | | | | | | | |            #374.
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | Case 2:
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | |   (145)  all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 172.42/26.69  | | | | | | | | |          all_58_30 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | ALPHA: (145) implies:
% 172.42/26.69  | | | | | | | | |   (146)  all_58_28 = e0
% 172.42/26.69  | | | | | | | | |   (147)  all_58_27 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | COMBINE_EQS: (1), (147) imply:
% 172.42/26.69  | | | | | | | | |   (148)  e3 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | REF_CLOSE: (9), (28), (146), (148) are inconsistent by
% 172.42/26.69  | | | | | | | | |            sub-proof #296.
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | End of split
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | Case 2:
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | |   (149)  (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.42/26.69  | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.42/26.69  | | | | | | | |            all_58_29 = e0)
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | | BETA: splitting (149) gives:
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | | Case 1:
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | |   (150)  all_58_19 = e0 & all_58_28 = e0 & e3 = e0
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | ALPHA: (150) implies:
% 172.42/26.69  | | | | | | | | |   (151)  all_58_28 = e0
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | REF_CLOSE: (9), (20), (151) are inconsistent by sub-proof
% 172.42/26.69  | | | | | | | | |            #429.
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | Case 2:
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | |   (152)  all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.42/26.69  | | | | | | | | |          all_58_29 = e0
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | ALPHA: (152) implies:
% 172.42/26.69  | | | | | | | | |   (153)  all_58_23 = e0
% 172.42/26.69  | | | | | | | | |   (154)  all_58_22 = e2
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | COMBINE_EQS: (17), (154) imply:
% 172.42/26.69  | | | | | | | | |   (155)  e2 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | REF_CLOSE: (7), (28), (153), (155) are inconsistent by
% 172.42/26.69  | | | | | | | | |            sub-proof #294.
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | End of split
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | End of split
% 172.42/26.69  | | | | | | | 
% 172.42/26.69  | | | | | | End of split
% 172.42/26.69  | | | | | | 
% 172.42/26.69  | | | | | Case 2:
% 172.42/26.69  | | | | | | 
% 172.42/26.69  | | | | | |   (156)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.42/26.69  | | | | | |            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 &
% 172.42/26.69  | | | | | |            all_58_25 = e1 & all_58_29 = e2) | (all_58_22 = e1 &
% 172.42/26.69  | | | | | |            all_58_25 = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.42/26.69  | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 =
% 172.42/26.69  | | | | | |            e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.42/26.69  | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 172.42/26.69  | | | | | |            all_58_30 = e1) | (all_58_23 = e0 & all_58_29 = e0 & e2 =
% 172.42/26.69  | | | | | |            e0) | (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.42/26.69  | | | | | | 
% 172.42/26.69  | | | | | | BETA: splitting (156) gives:
% 172.42/26.69  | | | | | | 
% 172.42/26.69  | | | | | | Case 1:
% 172.42/26.69  | | | | | | | 
% 172.42/26.69  | | | | | | |   (157)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.42/26.69  | | | | | | |            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 &
% 172.42/26.69  | | | | | | |            all_58_25 = e1 & all_58_29 = e2) | (all_58_22 = e1 &
% 172.42/26.69  | | | | | | |            all_58_25 = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.42/26.69  | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1)
% 172.42/26.69  | | | | | | | 
% 172.42/26.69  | | | | | | | BETA: splitting (157) gives:
% 172.42/26.69  | | | | | | | 
% 172.42/26.69  | | | | | | | Case 1:
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | |   (158)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.42/26.69  | | | | | | | |            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 &
% 172.42/26.69  | | | | | | | |            all_58_25 = e1 & all_58_29 = e2)
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | | BETA: splitting (158) gives:
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | | Case 1:
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | |   (159)  all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.42/26.69  | | | | | | | | |          all_58_30 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | ALPHA: (159) implies:
% 172.42/26.69  | | | | | | | | |   (160)  all_58_30 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | REF_CLOSE: (5), (12), (14), (18), (19), (22), (23), (25),
% 172.42/26.69  | | | | | | | | |            (26), (27), (160) are inconsistent by sub-proof
% 172.42/26.69  | | | | | | | | |            #293.
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | Case 2:
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | |   (161)  all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.42/26.69  | | | | | | | | |          all_58_29 = e2
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | ALPHA: (161) implies:
% 172.42/26.69  | | | | | | | | |   (162)  all_58_29 = e2
% 172.42/26.69  | | | | | | | | |   (163)  all_58_25 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | COMBINE_EQS: (29), (163) imply:
% 172.42/26.69  | | | | | | | | |   (164)  e2 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | SIMP: (164) implies:
% 172.42/26.69  | | | | | | | | |   (165)  e2 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | COMBINE_EQS: (24), (162) imply:
% 172.42/26.69  | | | | | | | | |   (166)  e2 = e0
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | REF_CLOSE: (28), (165), (166) are inconsistent by sub-proof
% 172.42/26.69  | | | | | | | | |            #292.
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | End of split
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | Case 2:
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | |   (167)  (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.42/26.69  | | | | | | | |            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 &
% 172.42/26.69  | | | | | | | |            e2 = e1)
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | | BETA: splitting (167) gives:
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | | Case 1:
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | |   (168)  all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.42/26.69  | | | | | | | | |          all_58_30 = e0
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | REF_CLOSE: (27), (28), (29), (168) are inconsistent by
% 172.42/26.69  | | | | | | | | |            sub-proof #291.
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | Case 2:
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | |   (169)  all_58_22 = e1 & all_58_25 = e1 & e2 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | ALPHA: (169) implies:
% 172.42/26.69  | | | | | | | | |   (170)  all_58_25 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | COMBINE_EQS: (29), (170) imply:
% 172.42/26.69  | | | | | | | | |   (171)  e2 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | REF_CLOSE: (5), (12), (14), (18), (19), (22), (23), (25),
% 172.42/26.69  | | | | | | | | |            (26), (171) are inconsistent by sub-proof #321.
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | End of split
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | End of split
% 172.42/26.69  | | | | | | | 
% 172.42/26.69  | | | | | | Case 2:
% 172.42/26.69  | | | | | | | 
% 172.42/26.69  | | | | | | |   (172)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 172.42/26.69  | | | | | | |            all_58_30 = e0) | (all_58_23 = e0 & all_58_27 = e1 &
% 172.42/26.69  | | | | | | |            all_58_29 = e0 & all_58_30 = e1) | (all_58_23 = e0 &
% 172.42/26.69  | | | | | | |            all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30
% 172.42/26.69  | | | | | | |            = e0 & e1 = e0)
% 172.42/26.69  | | | | | | | 
% 172.42/26.69  | | | | | | | BETA: splitting (172) gives:
% 172.42/26.69  | | | | | | | 
% 172.42/26.69  | | | | | | | Case 1:
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | |   (173)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 172.42/26.69  | | | | | | | |            all_58_30 = e0) | (all_58_23 = e0 & all_58_27 = e1 &
% 172.42/26.69  | | | | | | | |            all_58_29 = e0 & all_58_30 = e1)
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | | BETA: splitting (173) gives:
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | | Case 1:
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | |   (174)  all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 172.42/26.69  | | | | | | | | |          all_58_30 = e0
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | REF_CLOSE: (26), (27), (174) are inconsistent by sub-proof
% 172.42/26.69  | | | | | | | | |            #290.
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | Case 2:
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | |   (175)  all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 172.42/26.69  | | | | | | | | |          all_58_30 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | ALPHA: (175) implies:
% 172.42/26.69  | | | | | | | | |   (176)  all_58_30 = e1
% 172.42/26.69  | | | | | | | | |   (177)  all_58_23 = e0
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | COMBINE_EQS: (7), (177) imply:
% 172.42/26.69  | | | | | | | | |   (178)  e2 = e0
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | SIMP: (178) implies:
% 172.42/26.69  | | | | | | | | |   (179)  e2 = e0
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | COMBINE_EQS: (27), (176) imply:
% 172.42/26.69  | | | | | | | | |   (180)  e2 = e1
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | COMBINE_EQS: (179), (180) imply:
% 172.42/26.69  | | | | | | | | |   (181)  e1 = e0
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | REDUCE: (28), (181) imply:
% 172.42/26.69  | | | | | | | | |   (182)  $false
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | CLOSE: (182) is inconsistent.
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | End of split
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | Case 2:
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | |   (183)  (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.42/26.69  | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | | BETA: splitting (183) gives:
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | | Case 1:
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | |   (184)  all_58_23 = e0 & all_58_29 = e0 & e2 = e0
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | ALPHA: (184) implies:
% 172.42/26.69  | | | | | | | | |   (185)  all_58_23 = e0
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | REF_CLOSE: (7), (26), (185) are inconsistent by sub-proof
% 172.42/26.69  | | | | | | | | |            #586.
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | Case 2:
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | |   (186)  all_58_27 = e0 & all_58_30 = e0 & e1 = e0
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | ALPHA: (186) implies:
% 172.42/26.69  | | | | | | | | |   (187)  e1 = e0
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | REDUCE: (28), (187) imply:
% 172.42/26.69  | | | | | | | | |   (188)  $false
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | | CLOSE: (188) is inconsistent.
% 172.42/26.69  | | | | | | | | | 
% 172.42/26.69  | | | | | | | | End of split
% 172.42/26.69  | | | | | | | | 
% 172.42/26.69  | | | | | | | End of split
% 172.42/26.69  | | | | | | | 
% 172.42/26.69  | | | | | | End of split
% 172.42/26.69  | | | | | | 
% 172.42/26.69  | | | | | End of split
% 172.42/26.69  | | | | | 
% 172.42/26.69  | | | | End of split
% 172.42/26.69  | | | | 
% 172.42/26.69  | | | End of split
% 172.42/26.69  | | | 
% 172.42/26.69  | | End of split
% 172.42/26.69  | | 
% 172.42/26.69  | End of split
% 172.42/26.69  | 
% 172.42/26.69  End of proof
% 172.42/26.69  
% 172.42/26.69  Sub-proof #290 shows that the following formulas are inconsistent:
% 172.42/26.69  ----------------------------------------------------------------
% 172.42/26.69    (1)  all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0
% 172.42/26.69    (2)  all_58_30 = e2
% 172.42/26.69    (3)   ~ (e2 = e0)
% 172.42/26.69  
% 172.42/26.69  Begin of proof
% 172.42/26.69  | 
% 172.42/26.69  | ALPHA: (1) implies:
% 172.42/26.69  |   (4)  all_58_30 = e0
% 172.42/26.69  | 
% 172.42/26.69  | COMBINE_EQS: (2), (4) imply:
% 172.42/26.69  |   (5)  e2 = e0
% 172.42/26.69  | 
% 172.42/26.69  | REDUCE: (3), (5) imply:
% 172.42/26.69  |   (6)  $false
% 172.42/26.69  | 
% 172.42/26.69  | CLOSE: (6) is inconsistent.
% 172.42/26.69  | 
% 172.42/26.69  End of proof
% 172.42/26.69  
% 172.42/26.69  Sub-proof #291 shows that the following formulas are inconsistent:
% 172.42/26.69  ----------------------------------------------------------------
% 172.42/26.69    (1)  all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 & all_58_30 = e0
% 172.42/26.69    (2)  all_58_25 = e2
% 172.42/26.69    (3)  all_58_30 = e2
% 172.42/26.69    (4)   ~ (e1 = e0)
% 172.42/26.69  
% 172.42/26.69  Begin of proof
% 172.42/26.69  | 
% 172.42/26.69  | ALPHA: (1) implies:
% 172.42/26.69  |   (5)  all_58_30 = e0
% 172.42/26.69  |   (6)  all_58_25 = e1
% 172.42/26.69  | 
% 172.42/26.69  | COMBINE_EQS: (2), (6) imply:
% 172.42/26.69  |   (7)  e2 = e1
% 172.42/26.69  | 
% 172.42/26.69  | SIMP: (7) implies:
% 172.42/26.69  |   (8)  e2 = e1
% 172.42/26.69  | 
% 172.42/26.69  | COMBINE_EQS: (3), (5) imply:
% 172.42/26.69  |   (9)  e2 = e0
% 172.42/26.69  | 
% 172.42/26.69  | COMBINE_EQS: (8), (9) imply:
% 172.42/26.69  |   (10)  e1 = e0
% 172.42/26.69  | 
% 172.42/26.69  | REDUCE: (4), (10) imply:
% 172.42/26.69  |   (11)  $false
% 172.42/26.69  | 
% 172.42/26.69  | CLOSE: (11) is inconsistent.
% 172.42/26.69  | 
% 172.42/26.69  End of proof
% 172.42/26.69  
% 172.42/26.69  Sub-proof #292 shows that the following formulas are inconsistent:
% 172.42/26.69  ----------------------------------------------------------------
% 172.42/26.69    (1)  e2 = e0
% 172.42/26.69    (2)  e2 = e1
% 172.42/26.69    (3)   ~ (e1 = e0)
% 172.42/26.69  
% 172.42/26.69  Begin of proof
% 172.42/26.69  | 
% 172.42/26.69  | SIMP: (1) implies:
% 172.42/26.69  |   (4)  e2 = e0
% 172.42/26.69  | 
% 172.42/26.69  | COMBINE_EQS: (2), (4) imply:
% 172.42/26.69  |   (5)  e1 = e0
% 172.42/26.69  | 
% 172.42/26.69  | REDUCE: (3), (5) imply:
% 172.42/26.69  |   (6)  $false
% 172.42/26.69  | 
% 172.42/26.69  | CLOSE: (6) is inconsistent.
% 172.42/26.69  | 
% 172.42/26.69  End of proof
% 172.42/26.69  
% 172.42/26.69  Sub-proof #293 shows that the following formulas are inconsistent:
% 172.42/26.69  ----------------------------------------------------------------
% 172.42/26.69    (1)  all_56_12 = e0
% 172.42/26.69    (2)   ~ (e2 = e1)
% 172.42/26.69    (3)   ~ (all_52_2 = e2)
% 172.42/26.69    (4)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.42/26.69    (5)  all_56_2 = all_52_1
% 172.42/26.69    (6)  all_58_30 = e1
% 172.42/26.69    (7)  all_56_0 = e2
% 172.42/26.69    (8)  all_56_6 = all_52_2
% 172.42/26.69    (9)   ~ (all_52_1 = e2)
% 172.42/26.69    (10)   ~ (e2 = e0)
% 172.42/26.69    (11)  all_58_30 = e2
% 172.42/26.69  
% 172.42/26.69  Begin of proof
% 172.42/26.69  | 
% 172.42/26.69  | COMBINE_EQS: (6), (11) imply:
% 172.42/26.69  |   (12)  e2 = e1
% 172.42/26.69  | 
% 172.42/26.69  | COMBINE_EQS: (7), (12) imply:
% 172.42/26.69  |   (13)  all_56_0 = e1
% 172.42/26.69  | 
% 172.42/26.69  | REF_CLOSE: (1), (2), (3), (4), (5), (8), (9), (10), (13) are inconsistent by
% 172.42/26.69  |            sub-proof #731.
% 172.42/26.69  | 
% 172.42/26.69  End of proof
% 172.42/26.69  
% 172.42/26.69  Sub-proof #294 shows that the following formulas are inconsistent:
% 172.42/26.69  ----------------------------------------------------------------
% 172.42/26.69    (1)  e2 = e1
% 172.42/26.69    (2)  all_58_23 = e2
% 172.42/26.69    (3)  all_58_23 = e0
% 172.42/26.69    (4)   ~ (e1 = e0)
% 172.42/26.69  
% 172.42/26.69  Begin of proof
% 172.42/26.69  | 
% 172.42/26.69  | SIMP: (1) implies:
% 172.42/26.69  |   (5)  e2 = e1
% 172.42/26.69  | 
% 172.42/26.69  | COMBINE_EQS: (2), (3) imply:
% 172.42/26.69  |   (6)  e2 = e0
% 172.42/26.69  | 
% 172.42/26.69  | SIMP: (6) implies:
% 172.42/26.69  |   (7)  e2 = e0
% 172.42/26.69  | 
% 172.42/26.69  | REF_CLOSE: (4), (5), (7) are inconsistent by sub-proof #308.
% 172.42/26.69  | 
% 172.42/26.69  End of proof
% 172.42/26.69  
% 172.42/26.69  Sub-proof #295 shows that the following formulas are inconsistent:
% 172.42/26.69  ----------------------------------------------------------------
% 172.42/26.69    (1)  all_58_17 = e1
% 172.42/26.69    (2)  all_58_20 = e0
% 172.42/26.69    (3)  all_58_20 = e2
% 172.42/26.69    (4)  all_58_17 = e2
% 172.42/26.69    (5)   ~ (e1 = e0)
% 172.42/26.69  
% 172.42/26.69  Begin of proof
% 172.42/26.69  | 
% 172.42/26.69  | COMBINE_EQS: (1), (4) imply:
% 172.42/26.69  |   (6)  e2 = e1
% 172.42/26.69  | 
% 172.42/26.69  | SIMP: (6) implies:
% 172.42/26.69  |   (7)  e2 = e1
% 172.42/26.69  | 
% 172.42/26.69  | COMBINE_EQS: (2), (3) imply:
% 172.42/26.69  |   (8)  e2 = e0
% 172.42/26.69  | 
% 172.42/26.69  | REF_CLOSE: (5), (7), (8) are inconsistent by sub-proof #308.
% 172.42/26.69  | 
% 172.42/26.69  End of proof
% 172.42/26.69  
% 172.42/26.69  Sub-proof #296 shows that the following formulas are inconsistent:
% 172.42/26.69  ----------------------------------------------------------------
% 172.42/26.69    (1)  e3 = e1
% 172.42/26.69    (2)  all_58_28 = e3
% 172.42/26.69    (3)  all_58_28 = e0
% 172.42/26.69    (4)   ~ (e1 = e0)
% 172.42/26.69  
% 172.42/26.69  Begin of proof
% 172.42/26.69  | 
% 172.42/26.69  | SIMP: (1) implies:
% 172.42/26.70  |   (5)  e3 = e1
% 172.42/26.70  | 
% 172.42/26.70  | COMBINE_EQS: (2), (3) imply:
% 172.42/26.70  |   (6)  e3 = e0
% 172.42/26.70  | 
% 172.42/26.70  | SIMP: (6) implies:
% 172.42/26.70  |   (7)  e3 = e0
% 172.42/26.70  | 
% 172.42/26.70  | REF_CLOSE: (4), (5), (7) are inconsistent by sub-proof #310.
% 172.42/26.70  | 
% 172.42/26.70  End of proof
% 172.42/26.70  
% 172.42/26.70  Sub-proof #297 shows that the following formulas are inconsistent:
% 172.42/26.70  ----------------------------------------------------------------
% 172.42/26.70    (1)  e3 = e1
% 172.42/26.70    (2)  all_58_20 = e0
% 172.42/26.70    (3)  all_58_20 = e3
% 172.42/26.70    (4)   ~ (e1 = e0)
% 172.42/26.70  
% 172.42/26.70  Begin of proof
% 172.42/26.70  | 
% 172.42/26.70  | SIMP: (1) implies:
% 172.42/26.70  |   (5)  e3 = e1
% 172.42/26.70  | 
% 172.42/26.70  | COMBINE_EQS: (2), (3) imply:
% 172.42/26.70  |   (6)  e3 = e0
% 172.42/26.70  | 
% 172.42/26.70  | COMBINE_EQS: (5), (6) imply:
% 172.42/26.70  |   (7)  e1 = e0
% 172.42/26.70  | 
% 172.42/26.70  | REDUCE: (4), (7) imply:
% 172.42/26.70  |   (8)  $false
% 172.42/26.70  | 
% 172.42/26.70  | CLOSE: (8) is inconsistent.
% 172.42/26.70  | 
% 172.42/26.70  End of proof
% 172.42/26.70  
% 172.42/26.70  Sub-proof #298 shows that the following formulas are inconsistent:
% 172.42/26.70  ----------------------------------------------------------------
% 172.42/26.70    (1)  all_56_11 = all_14_1
% 172.42/26.70    (2)   ~ (all_14_1 = e0)
% 172.42/26.70    (3)   ~ (all_52_13 = e0)
% 172.42/26.70    (4)  all_56_10 = all_52_13
% 172.42/26.70    (5)  all_56_10 = e0 | all_56_11 = e0
% 172.42/26.70  
% 172.42/26.70  Begin of proof
% 172.42/26.70  | 
% 172.42/26.70  | BETA: splitting (5) gives:
% 172.42/26.70  | 
% 172.42/26.70  | Case 1:
% 172.42/26.70  | | 
% 172.42/26.70  | |   (6)  all_56_10 = e0
% 172.42/26.70  | | 
% 172.42/26.70  | | COMBINE_EQS: (4), (6) imply:
% 172.42/26.70  | |   (7)  all_52_13 = e0
% 172.42/26.70  | | 
% 172.42/26.70  | | REDUCE: (3), (7) imply:
% 172.42/26.70  | |   (8)  $false
% 172.42/26.70  | | 
% 172.42/26.70  | | CLOSE: (8) is inconsistent.
% 172.42/26.70  | | 
% 172.42/26.70  | Case 2:
% 172.42/26.70  | | 
% 172.42/26.70  | |   (9)  all_56_11 = e0
% 172.42/26.70  | | 
% 172.42/26.70  | | REF_CLOSE: (1), (2), (9) are inconsistent by sub-proof #651.
% 172.42/26.70  | | 
% 172.42/26.70  | End of split
% 172.42/26.70  | 
% 172.42/26.70  End of proof
% 172.42/26.70  
% 172.42/26.70  Sub-proof #299 shows that the following formulas are inconsistent:
% 172.42/26.70  ----------------------------------------------------------------
% 172.42/26.70    (1)   ~ (e3 = e1)
% 172.42/26.70    (2)  all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.42/26.70    (3)  all_56_14 = all_10_1
% 172.42/26.70    (4)   ~ (all_10_1 = e3)
% 172.42/26.70    (5)   ~ (e3 = e0)
% 172.42/26.70    (6)  all_56_13 = e0
% 172.42/26.70    (7)  all_56_15 = e1
% 172.42/26.70  
% 172.42/26.70  Begin of proof
% 172.42/26.70  | 
% 172.42/26.70  | BETA: splitting (2) gives:
% 172.42/26.70  | 
% 172.42/26.70  | Case 1:
% 172.42/26.70  | | 
% 172.42/26.70  | |   (8)  all_56_13 = e3
% 172.42/26.70  | | 
% 172.42/26.70  | | COMBINE_EQS: (6), (8) imply:
% 172.42/26.70  | |   (9)  e3 = e0
% 172.42/26.70  | | 
% 172.42/26.70  | | REDUCE: (5), (9) imply:
% 172.42/26.70  | |   (10)  $false
% 172.42/26.70  | | 
% 172.42/26.70  | | CLOSE: (10) is inconsistent.
% 172.42/26.70  | | 
% 172.42/26.70  | Case 2:
% 172.42/26.70  | | 
% 172.42/26.70  | |   (11)  all_56_14 = e3 | all_56_15 = e3
% 172.42/26.70  | | 
% 172.42/26.70  | | REF_CLOSE: (1), (3), (4), (7), (11) are inconsistent by sub-proof #300.
% 172.42/26.70  | | 
% 172.42/26.70  | End of split
% 172.42/26.70  | 
% 172.42/26.70  End of proof
% 172.42/26.70  
% 172.42/26.70  Sub-proof #300 shows that the following formulas are inconsistent:
% 172.42/26.70  ----------------------------------------------------------------
% 172.42/26.70    (1)   ~ (e3 = e1)
% 172.42/26.70    (2)  all_56_14 = all_10_1
% 172.42/26.70    (3)   ~ (all_10_1 = e3)
% 172.42/26.70    (4)  all_56_14 = e3 | all_56_15 = e3
% 172.42/26.70    (5)  all_56_15 = e1
% 172.42/26.70  
% 172.42/26.70  Begin of proof
% 172.42/26.70  | 
% 172.42/26.70  | BETA: splitting (4) gives:
% 172.42/26.70  | 
% 172.42/26.70  | Case 1:
% 172.42/26.70  | | 
% 172.42/26.70  | |   (6)  all_56_14 = e3
% 172.42/26.70  | | 
% 172.42/26.70  | | REF_CLOSE: (2), (3), (6) are inconsistent by sub-proof #323.
% 172.42/26.70  | | 
% 172.42/26.70  | Case 2:
% 172.42/26.70  | | 
% 172.42/26.70  | |   (7)  all_56_15 = e3
% 172.42/26.70  | | 
% 172.42/26.70  | | COMBINE_EQS: (5), (7) imply:
% 172.42/26.70  | |   (8)  e3 = e1
% 172.42/26.70  | | 
% 172.42/26.70  | | REDUCE: (1), (8) imply:
% 172.42/26.70  | |   (9)  $false
% 172.42/26.70  | | 
% 172.42/26.70  | | CLOSE: (9) is inconsistent.
% 172.42/26.70  | | 
% 172.42/26.70  | End of split
% 172.42/26.70  | 
% 172.42/26.70  End of proof
% 172.42/26.70  
% 172.42/26.70  Sub-proof #301 shows that the following formulas are inconsistent:
% 172.42/26.70  ----------------------------------------------------------------
% 172.42/26.70    (1)  all_56_1 = all_52_4
% 172.42/26.70    (2)   ~ (all_52_4 = all_4_2)
% 172.42/26.70    (3)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.42/26.70    (4)  all_58_24 = e3
% 172.42/26.70    (5)  all_56_5 = all_52_9
% 172.42/26.70    (6)   ~ (all_52_6 = all_4_2)
% 172.42/26.70    (7)  all_54_1 = all_52_4
% 172.42/26.70    (8)   ~ (all_52_9 = all_4_2)
% 172.42/26.70    (9)  all_54_6 = all_52_9
% 172.42/26.70    (10)   ~ (all_52_9 = e0)
% 172.42/26.70    (11)   ~ (all_52_4 = all_52_6)
% 172.42/26.70    (12)   ~ (all_52_4 = e0)
% 172.42/26.70    (13)  all_56_0 = all_6_2
% 172.42/26.70    (14)   ~ (all_52_9 = e3)
% 172.42/26.70    (15)   ~ (all_52_2 = all_52_6)
% 172.42/26.70    (16)   ~ (all_52_9 = e2)
% 172.42/26.70    (17)  all_56_2 = e0
% 172.42/26.70    (18)   ~ (e3 = e2)
% 172.42/26.70    (19)  all_58_19 = e3
% 172.42/26.70    (20)  all_56_12 = e3
% 172.42/26.70    (21)   ~ (all_6_2 = e3)
% 172.42/26.70    (22)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.42/26.70    (23)  all_58_28 = e0
% 172.42/26.70    (24)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.42/26.70    (25)  all_54_9 = all_52_6
% 172.42/26.70    (26)  all_58_18 = all_52_2
% 172.42/26.70    (27)  all_58_16 = all_6_2
% 172.42/26.70    (28)   ~ (e3 = e0)
% 172.42/26.70    (29)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3 & all_58_18 = e1 &
% 172.42/26.70            all_58_20 = e3 & all_58_24 = e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 172.42/26.70            all_58_20 = e3 & all_58_28 = e0) | (all_58_17 = e3 & all_58_20 = e3 &
% 172.42/26.70            all_58_22 = e2 & all_58_25 = e2) | (all_58_17 = e3 & all_58_20 = e3 &
% 172.42/26.70            all_58_23 = e2 & all_58_29 = e2) | (all_58_17 = e2 & all_58_18 = e3 &
% 172.42/26.70            all_58_20 = e2 & all_58_24 = e3) | (all_58_17 = e2 & all_58_19 = e3 &
% 172.42/26.70            all_58_20 = e2 & all_58_28 = e3) | (all_58_17 = e2 & all_58_20 = e2 &
% 172.42/26.70            all_58_22 = e1 & all_58_25 = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 172.42/26.70            all_58_23 = e0 & all_58_29 = e0) | (all_58_17 = e2 & all_58_20 = e2 &
% 172.42/26.70            e3 = e2) | (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 172.42/26.70            all_58_28 = e0) | (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 &
% 172.42/26.70            all_58_25 = e1) | (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 172.42/26.70            all_58_30 = e1) | (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 172.42/26.70            all_58_28 = e3) | (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 &
% 172.42/26.70            all_58_25 = e2) | (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 172.42/26.70            all_58_30 = e0) | (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.42/26.70          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 & all_58_29 = e0) |
% 172.42/26.70          (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.42/26.70          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 172.42/26.70          (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.42/26.70          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2 &
% 172.42/26.70            all_58_23 = e0 & all_58_25 = e2 & all_58_29 = e0) | (all_58_22 = e2 &
% 172.42/26.70            all_58_25 = e2 & all_58_27 = e1 & all_58_30 = e1) | (all_58_22 = e1 &
% 172.42/26.70            all_58_23 = e2 & all_58_25 = e1 & all_58_29 = e2) | (all_58_22 = e1 &
% 172.42/26.70            all_58_25 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_22 = e1 &
% 172.42/26.70            all_58_25 = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 = e0 &
% 172.42/26.70            all_58_29 = e2 & all_58_30 = e0) | (all_58_23 = e0 & all_58_27 = e1 &
% 172.42/26.70            all_58_29 = e0 & all_58_30 = e1) | (all_58_23 = e0 & all_58_29 = e0 &
% 172.42/26.70            e2 = e0) | (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.42/26.70    (30)   ~ (all_4_2 = e0)
% 172.42/26.70    (31)  all_56_10 = e2
% 172.42/26.70    (32)  all_58_20 = all_52_4
% 172.42/26.70    (33)  all_58_17 = e0
% 172.42/26.70    (34)  all_56_6 = all_52_2
% 172.42/26.70    (35)  all_56_3 = all_4_2
% 172.42/26.70    (36)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 172.42/26.70    (37)  all_58_25 = all_52_9
% 172.42/26.70    (38)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 172.42/26.70    (39)  all_58_30 = e3
% 172.42/26.70    (40)  all_58_29 = e2
% 172.42/26.70    (41)   ~ (all_52_6 = e0)
% 172.42/26.70    (42)  all_58_21 = all_4_2
% 172.42/26.70    (43)   ~ (e2 = e0)
% 172.42/26.70    (44)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.42/26.70    (45)  all_58_23 = e0
% 172.42/26.70    (46)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.42/26.70    (47)   ~ (all_4_2 = e2)
% 172.42/26.70  
% 172.42/26.70  Begin of proof
% 172.42/26.70  | 
% 172.42/26.70  | BETA: splitting (46) gives:
% 172.42/26.70  | 
% 172.42/26.70  | Case 1:
% 172.42/26.70  | | 
% 172.42/26.70  | |   (48)  all_56_2 = e3
% 172.42/26.70  | | 
% 172.42/26.70  | | COMBINE_EQS: (17), (48) imply:
% 172.42/26.70  | |   (49)  e3 = e0
% 172.42/26.70  | | 
% 172.42/26.70  | | REDUCE: (28), (49) imply:
% 172.42/26.70  | |   (50)  $false
% 172.42/26.70  | | 
% 172.42/26.70  | | CLOSE: (50) is inconsistent.
% 172.42/26.70  | | 
% 172.42/26.70  | Case 2:
% 172.42/26.70  | | 
% 172.42/26.70  | |   (51)   ~ (all_56_2 = e3)
% 172.42/26.70  | |   (52)  all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.42/26.70  | | 
% 172.42/26.70  | | REDUCE: (17), (51) imply:
% 172.42/26.70  | |   (53)   ~ (e3 = e0)
% 172.42/26.70  | | 
% 172.42/26.70  | | BETA: splitting (3) gives:
% 172.42/26.70  | | 
% 172.42/26.70  | | Case 1:
% 172.42/26.70  | | | 
% 172.42/26.70  | | |   (54)  all_58_19 = e0
% 172.42/26.70  | | | 
% 172.42/26.70  | | | COMBINE_EQS: (19), (54) imply:
% 172.42/26.70  | | |   (55)  e3 = e0
% 172.42/26.70  | | | 
% 172.42/26.70  | | | SIMP: (55) implies:
% 172.42/26.70  | | |   (56)  e3 = e0
% 172.42/26.70  | | | 
% 172.42/26.70  | | | REDUCE: (28), (56) imply:
% 172.42/26.70  | | |   (57)  $false
% 172.42/26.70  | | | 
% 172.42/26.70  | | | CLOSE: (57) is inconsistent.
% 172.42/26.70  | | | 
% 172.42/26.70  | | Case 2:
% 172.42/26.70  | | | 
% 172.42/26.70  | | |   (58)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.42/26.70  | | | 
% 172.42/26.70  | | | BETA: splitting (52) gives:
% 172.42/26.70  | | | 
% 172.42/26.70  | | | Case 1:
% 172.42/26.70  | | | | 
% 172.42/26.70  | | | |   (59)  all_56_3 = e3
% 172.42/26.70  | | | | 
% 172.42/26.70  | | | | COMBINE_EQS: (35), (59) imply:
% 172.42/26.70  | | | |   (60)  all_4_2 = e3
% 172.42/26.70  | | | | 
% 172.42/26.70  | | | | SIMP: (60) implies:
% 172.42/26.70  | | | |   (61)  all_4_2 = e3
% 172.42/26.70  | | | | 
% 172.42/26.70  | | | | COMBINE_EQS: (42), (61) imply:
% 172.42/26.70  | | | |   (62)  all_58_21 = e3
% 172.42/26.70  | | | | 
% 172.42/26.70  | | | | REDUCE: (2), (61) imply:
% 172.42/26.70  | | | |   (63)   ~ (all_52_4 = e3)
% 172.42/26.70  | | | | 
% 172.42/26.70  | | | | REDUCE: (6), (61) imply:
% 172.42/26.70  | | | |   (64)   ~ (all_52_6 = e3)
% 172.42/26.70  | | | | 
% 172.42/26.70  | | | | BETA: splitting (29) gives:
% 172.42/26.70  | | | | 
% 172.42/26.70  | | | | Case 1:
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | |   (65)  all_58_21 = e2
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | | COMBINE_EQS: (62), (65) imply:
% 172.42/26.70  | | | | |   (66)  e3 = e2
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | | REDUCE: (18), (66) imply:
% 172.42/26.70  | | | | |   (67)  $false
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | | CLOSE: (67) is inconsistent.
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | Case 2:
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | |   (68)  all_58_16 = e3 | (all_58_17 = e3 & all_58_18 = e1 & all_58_20
% 172.42/26.70  | | | | |           = e3 & all_58_24 = e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 172.42/26.70  | | | | |           all_58_20 = e3 & all_58_28 = e0) | (all_58_17 = e3 &
% 172.42/26.70  | | | | |           all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.42/26.70  | | | | |         (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29
% 172.42/26.70  | | | | |           = e2) | (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 172.42/26.70  | | | | |           all_58_24 = e3) | (all_58_17 = e2 & all_58_19 = e3 &
% 172.42/26.70  | | | | |           all_58_20 = e2 & all_58_28 = e3) | (all_58_17 = e2 &
% 172.42/26.70  | | | | |           all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.42/26.70  | | | | |         (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29
% 172.42/26.70  | | | | |           = e0) | (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 172.42/26.70  | | | | |         (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 & all_58_28
% 172.42/26.70  | | | | |           = e0) | (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 &
% 172.42/26.70  | | | | |           all_58_25 = e1) | (all_58_18 = e3 & all_58_24 = e3 &
% 172.42/26.70  | | | | |           all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.42/26.70  | | | | |           all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.42/26.70  | | | | |         (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25
% 172.42/26.70  | | | | |           = e2) | (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 172.42/26.70  | | | | |           all_58_30 = e0) | (all_58_18 = e1 & all_58_24 = e1 & e3 =
% 172.42/26.70  | | | | |           e1) | (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 172.42/26.70  | | | | |           all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.42/26.70  | | | | |           all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 &
% 172.42/26.70  | | | | |           all_58_23 = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 172.42/26.70  | | | | |         (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 & all_58_30
% 172.42/26.70  | | | | |           = e1) | (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.42/26.70  | | | | |         (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 & all_58_29
% 172.42/26.70  | | | | |           = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.42/26.70  | | | | |           all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 &
% 172.42/26.70  | | | | |           all_58_25 = e1 & all_58_29 = e2) | (all_58_22 = e1 &
% 172.42/26.70  | | | | |           all_58_25 = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.42/26.70  | | | | |         (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 = e2
% 172.42/26.70  | | | | |           & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.42/26.70  | | | | |         (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30
% 172.42/26.70  | | | | |           = e1) | (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.42/26.70  | | | | |         (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | | BETA: splitting (68) gives:
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | | Case 1:
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | |   (69)  all_58_16 = e3
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | | REF_CLOSE: (21), (27), (69) are inconsistent by sub-proof #451.
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | Case 2:
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | |   (70)   ~ (all_58_16 = e3)
% 172.42/26.70  | | | | | |   (71)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 172.42/26.70  | | | | | |           all_58_24 = e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 172.42/26.70  | | | | | |           all_58_20 = e3 & all_58_28 = e0) | (all_58_17 = e3 &
% 172.42/26.70  | | | | | |           all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.42/26.70  | | | | | |         (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 172.42/26.70  | | | | | |           all_58_29 = e2) | (all_58_17 = e2 & all_58_18 = e3 &
% 172.42/26.70  | | | | | |           all_58_20 = e2 & all_58_24 = e3) | (all_58_17 = e2 &
% 172.42/26.70  | | | | | |           all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.42/26.70  | | | | | |         (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 172.42/26.70  | | | | | |           all_58_25 = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 172.42/26.70  | | | | | |           all_58_23 = e0 & all_58_29 = e0) | (all_58_17 = e2 &
% 172.42/26.70  | | | | | |           all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 172.42/26.70  | | | | | |           e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.42/26.70  | | | | | |           all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 172.42/26.70  | | | | | |         (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 172.42/26.70  | | | | | |           all_58_30 = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 172.42/26.70  | | | | | |           all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.42/26.70  | | | | | |           all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 172.42/26.70  | | | | | |         (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 172.42/26.70  | | | | | |           all_58_30 = e0) | (all_58_18 = e1 & all_58_24 = e1 & e3 =
% 172.42/26.70  | | | | | |           e1) | (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 172.42/26.70  | | | | | |           all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.42/26.70  | | | | | |           all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 &
% 172.42/26.70  | | | | | |           all_58_23 = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 172.42/26.70  | | | | | |         (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 172.42/26.70  | | | | | |           all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 & e3 =
% 172.42/26.70  | | | | | |           e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.42/26.70  | | | | | |           all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 &
% 172.42/26.70  | | | | | |           all_58_27 = e1 & all_58_30 = e1) | (all_58_22 = e1 &
% 172.42/26.70  | | | | | |           all_58_23 = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 172.42/26.70  | | | | | |         (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.42/26.70  | | | | | |           all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 =
% 172.42/26.70  | | | | | |           e1) | (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 172.42/26.70  | | | | | |           all_58_30 = e0) | (all_58_23 = e0 & all_58_27 = e1 &
% 172.42/26.70  | | | | | |           all_58_29 = e0 & all_58_30 = e1) | (all_58_23 = e0 &
% 172.42/26.70  | | | | | |           all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 172.42/26.70  | | | | | |           e0 & e1 = e0)
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | | BETA: splitting (36) gives:
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | | Case 1:
% 172.42/26.70  | | | | | | | 
% 172.42/26.70  | | | | | | |   (72)  all_54_6 = e1
% 172.42/26.70  | | | | | | | 
% 172.42/26.70  | | | | | | | COMBINE_EQS: (9), (72) imply:
% 172.42/26.70  | | | | | | |   (73)  all_52_9 = e1
% 172.42/26.70  | | | | | | | 
% 172.42/26.70  | | | | | | | SIMP: (73) implies:
% 172.42/26.70  | | | | | | |   (74)  all_52_9 = e1
% 172.42/26.70  | | | | | | | 
% 172.42/26.70  | | | | | | | COMBINE_EQS: (37), (74) imply:
% 172.42/26.70  | | | | | | |   (75)  all_58_25 = e1
% 172.42/26.70  | | | | | | | 
% 172.42/26.70  | | | | | | | REDUCE: (14), (74) imply:
% 172.42/26.70  | | | | | | |   (76)   ~ (e3 = e1)
% 172.42/26.70  | | | | | | | 
% 172.42/26.70  | | | | | | | SIMP: (76) implies:
% 172.42/26.70  | | | | | | |   (77)   ~ (e3 = e1)
% 172.42/26.70  | | | | | | | 
% 172.42/26.70  | | | | | | | REDUCE: (16), (74) imply:
% 172.42/26.70  | | | | | | |   (78)   ~ (e2 = e1)
% 172.42/26.70  | | | | | | | 
% 172.42/26.70  | | | | | | | SIMP: (78) implies:
% 172.42/26.70  | | | | | | |   (79)   ~ (e2 = e1)
% 172.42/26.70  | | | | | | | 
% 172.42/26.70  | | | | | | | REDUCE: (10), (74) imply:
% 172.42/26.70  | | | | | | |   (80)   ~ (e1 = e0)
% 172.42/26.70  | | | | | | | 
% 172.42/26.70  | | | | | | | BETA: splitting (58) gives:
% 172.42/26.70  | | | | | | | 
% 172.42/26.70  | | | | | | | Case 1:
% 172.42/26.70  | | | | | | | | 
% 172.42/26.70  | | | | | | | |   (81)  all_58_18 = e1
% 172.42/26.70  | | | | | | | | 
% 172.42/26.70  | | | | | | | | COMBINE_EQS: (26), (81) imply:
% 172.42/26.70  | | | | | | | |   (82)  all_52_2 = e1
% 172.42/26.70  | | | | | | | | 
% 172.42/26.70  | | | | | | | | SIMP: (82) implies:
% 172.42/26.70  | | | | | | | |   (83)  all_52_2 = e1
% 172.42/26.70  | | | | | | | | 
% 172.42/26.70  | | | | | | | | REDUCE: (15), (83) imply:
% 172.42/26.70  | | | | | | | |   (84)   ~ (all_52_6 = e1)
% 172.42/26.70  | | | | | | | | 
% 172.42/26.70  | | | | | | | | SIMP: (84) implies:
% 172.42/26.70  | | | | | | | |   (85)   ~ (all_52_6 = e1)
% 172.42/26.70  | | | | | | | | 
% 172.42/26.70  | | | | | | | | BETA: splitting (44) gives:
% 172.42/26.70  | | | | | | | | 
% 172.42/26.70  | | | | | | | | Case 1:
% 172.42/26.70  | | | | | | | | | 
% 172.42/26.70  | | | | | | | | |   (86)  all_56_1 = e1
% 172.42/26.70  | | | | | | | | | 
% 172.42/26.70  | | | | | | | | | COMBINE_EQS: (1), (86) imply:
% 172.42/26.70  | | | | | | | | |   (87)  all_52_4 = e1
% 172.42/26.70  | | | | | | | | | 
% 172.42/26.70  | | | | | | | | | SIMP: (87) implies:
% 172.42/26.70  | | | | | | | | |   (88)  all_52_4 = e1
% 172.42/26.70  | | | | | | | | | 
% 172.42/26.70  | | | | | | | | | COMBINE_EQS: (32), (88) imply:
% 172.42/26.70  | | | | | | | | |   (89)  all_58_20 = e1
% 172.42/26.70  | | | | | | | | | 
% 172.42/26.70  | | | | | | | | | REF_CLOSE: (4), (19), (23), (28), (33), (39), (40), (43),
% 172.42/26.70  | | | | | | | | |            (45), (71), (75), (77), (79), (80), (81), (89) are
% 172.42/26.70  | | | | | | | | |            inconsistent by sub-proof #302.
% 172.42/26.70  | | | | | | | | | 
% 172.42/26.70  | | | | | | | | Case 2:
% 172.42/26.70  | | | | | | | | | 
% 172.42/26.70  | | | | | | | | |   (90)   ~ (all_56_1 = e1)
% 172.42/26.70  | | | | | | | | | 
% 172.42/26.70  | | | | | | | | | REDUCE: (1), (90) imply:
% 172.42/26.70  | | | | | | | | |   (91)   ~ (all_52_4 = e1)
% 172.42/26.70  | | | | | | | | | 
% 172.42/26.70  | | | | | | | | | REF_CLOSE: (7), (11), (12), (24), (25), (38), (41), (63),
% 172.42/26.70  | | | | | | | | |            (64), (85), (91) are inconsistent by sub-proof
% 172.42/26.70  | | | | | | | | |            #423.
% 172.42/26.70  | | | | | | | | | 
% 172.42/26.70  | | | | | | | | End of split
% 172.42/26.70  | | | | | | | | 
% 172.42/26.70  | | | | | | | Case 2:
% 172.42/26.70  | | | | | | | | 
% 172.42/26.70  | | | | | | | |   (92)   ~ (all_58_18 = e1)
% 172.42/26.70  | | | | | | | |   (93)  all_58_16 = e3 | all_58_17 = e2
% 172.42/26.70  | | | | | | | | 
% 172.42/26.70  | | | | | | | | REDUCE: (26), (92) imply:
% 172.42/26.70  | | | | | | | |   (94)   ~ (all_52_2 = e1)
% 172.42/26.70  | | | | | | | | 
% 172.42/26.70  | | | | | | | | BETA: splitting (22) gives:
% 172.42/26.70  | | | | | | | | 
% 172.42/26.70  | | | | | | | | Case 1:
% 172.42/26.70  | | | | | | | | | 
% 172.42/26.70  | | | | | | | | |   (95)  all_56_0 = e1
% 172.42/26.70  | | | | | | | | | 
% 172.42/26.70  | | | | | | | | | COMBINE_EQS: (13), (95) imply:
% 172.42/26.70  | | | | | | | | |   (96)  all_6_2 = e1
% 172.42/26.70  | | | | | | | | | 
% 172.42/26.70  | | | | | | | | | SIMP: (96) implies:
% 172.42/26.70  | | | | | | | | |   (97)  all_6_2 = e1
% 172.42/26.70  | | | | | | | | | 
% 172.42/26.70  | | | | | | | | | COMBINE_EQS: (27), (97) imply:
% 172.42/26.70  | | | | | | | | |   (98)  all_58_16 = e1
% 172.42/26.70  | | | | | | | | | 
% 172.42/26.70  | | | | | | | | | REF_CLOSE: (33), (43), (77), (93), (98) are inconsistent by
% 172.42/26.70  | | | | | | | | |            sub-proof #980.
% 172.42/26.70  | | | | | | | | | 
% 172.42/26.70  | | | | | | | | Case 2:
% 172.42/26.70  | | | | | | | | | 
% 172.42/26.70  | | | | | | | | |   (99)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.42/26.70  | | | | | | | | | 
% 172.42/26.70  | | | | | | | | | BETA: splitting (99) gives:
% 172.42/26.70  | | | | | | | | | 
% 172.42/26.70  | | | | | | | | | Case 1:
% 172.42/26.70  | | | | | | | | | | 
% 172.42/26.70  | | | | | | | | | |   (100)  all_56_2 = e1
% 172.42/26.70  | | | | | | | | | | 
% 172.42/26.70  | | | | | | | | | | COMBINE_EQS: (17), (100) imply:
% 172.42/26.70  | | | | | | | | | |   (101)  e1 = e0
% 172.42/26.70  | | | | | | | | | | 
% 172.42/26.70  | | | | | | | | | | REDUCE: (80), (101) imply:
% 172.42/26.70  | | | | | | | | | |   (102)  $false
% 172.42/26.70  | | | | | | | | | | 
% 172.42/26.70  | | | | | | | | | | CLOSE: (102) is inconsistent.
% 172.42/26.70  | | | | | | | | | | 
% 172.42/26.70  | | | | | | | | | Case 2:
% 172.42/26.70  | | | | | | | | | | 
% 172.42/26.70  | | | | | | | | | |   (103)  all_56_6 = e1 | all_56_12 = e1
% 172.42/26.70  | | | | | | | | | | 
% 172.42/26.70  | | | | | | | | | | BETA: splitting (103) gives:
% 172.42/26.70  | | | | | | | | | | 
% 172.42/26.70  | | | | | | | | | | Case 1:
% 172.42/26.70  | | | | | | | | | | | 
% 172.42/26.70  | | | | | | | | | | |   (104)  all_56_6 = e1
% 172.42/26.70  | | | | | | | | | | | 
% 172.42/26.70  | | | | | | | | | | | REF_CLOSE: (34), (94), (104) are inconsistent by sub-proof
% 172.42/26.70  | | | | | | | | | | |            #583.
% 172.42/26.70  | | | | | | | | | | | 
% 172.42/26.70  | | | | | | | | | | Case 2:
% 172.42/26.70  | | | | | | | | | | | 
% 172.42/26.70  | | | | | | | | | | |   (105)  all_56_12 = e1
% 172.42/26.70  | | | | | | | | | | | 
% 172.42/26.70  | | | | | | | | | | | REF_CLOSE: (20), (77), (105) are inconsistent by sub-proof
% 172.42/26.70  | | | | | | | | | | |            #582.
% 172.42/26.70  | | | | | | | | | | | 
% 172.42/26.70  | | | | | | | | | | End of split
% 172.42/26.70  | | | | | | | | | | 
% 172.42/26.70  | | | | | | | | | End of split
% 172.42/26.70  | | | | | | | | | 
% 172.42/26.70  | | | | | | | | End of split
% 172.42/26.70  | | | | | | | | 
% 172.42/26.70  | | | | | | | End of split
% 172.42/26.70  | | | | | | | 
% 172.42/26.70  | | | | | | Case 2:
% 172.42/26.70  | | | | | | | 
% 172.42/26.70  | | | | | | |   (106)  all_54_6 = e3 | all_54_6 = e2
% 172.42/26.70  | | | | | | | 
% 172.42/26.70  | | | | | | | REF_CLOSE: (9), (14), (16), (106) are inconsistent by sub-proof
% 172.42/26.70  | | | | | | |            #884.
% 172.42/26.70  | | | | | | | 
% 172.42/26.70  | | | | | | End of split
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | End of split
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | End of split
% 172.42/26.70  | | | | 
% 172.42/26.70  | | | Case 2:
% 172.42/26.70  | | | | 
% 172.42/26.70  | | | |   (107)  all_56_5 = e3 | all_56_10 = e3
% 172.42/26.70  | | | | 
% 172.42/26.70  | | | | REF_CLOSE: (5), (14), (18), (31), (107) are inconsistent by sub-proof
% 172.42/26.70  | | | |            #648.
% 172.42/26.70  | | | | 
% 172.42/26.70  | | | End of split
% 172.42/26.70  | | | 
% 172.42/26.70  | | End of split
% 172.42/26.70  | | 
% 172.42/26.70  | End of split
% 172.42/26.70  | 
% 172.42/26.70  End of proof
% 172.42/26.70  
% 172.42/26.70  Sub-proof #302 shows that the following formulas are inconsistent:
% 172.42/26.70  ----------------------------------------------------------------
% 172.42/26.70    (1)   ~ (e3 = e1)
% 172.42/26.70    (2)  all_58_24 = e3
% 172.42/26.70    (3)  all_58_20 = e1
% 172.42/26.70    (4)  all_58_25 = e1
% 172.42/26.70    (5)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.42/26.70         (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.42/26.70         (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.42/26.70         (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.42/26.70         (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.42/26.70         (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.42/26.70         (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.42/26.70         (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.42/26.70         (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19
% 172.42/26.70           = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 & all_58_22 =
% 172.42/26.70           e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 & all_58_24 =
% 172.42/26.70           e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 & all_58_19 =
% 172.42/26.70           e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 & all_58_22 =
% 172.42/26.70           e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 & all_58_24 =
% 172.42/26.70           e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 & all_58_24 =
% 172.42/26.70           e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 172.42/26.70           all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 172.42/26.70           all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 172.42/26.70           all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 172.42/26.70           all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.42/26.70         (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 & all_58_29 = e0) |
% 172.42/26.70         (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 172.42/26.70         (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 172.42/26.70         (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.42/26.70         (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27
% 172.42/26.70           = e0 & all_58_29 = e2 & all_58_30 = e0) | (all_58_23 = e0 & all_58_27 =
% 172.42/26.70           e1 & all_58_29 = e0 & all_58_30 = e1) | (all_58_23 = e0 & all_58_29 =
% 172.42/26.70           e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.42/26.70    (6)  all_58_18 = e1
% 172.42/26.70    (7)   ~ (e2 = e1)
% 172.42/26.70    (8)  all_58_19 = e3
% 172.42/26.70    (9)  all_58_28 = e0
% 172.42/26.70    (10)   ~ (e3 = e0)
% 172.42/26.70    (11)  all_58_17 = e0
% 172.42/26.70    (12)  all_58_30 = e3
% 172.42/26.70    (13)  all_58_29 = e2
% 172.42/26.70    (14)   ~ (e2 = e0)
% 172.42/26.70    (15)   ~ (e1 = e0)
% 172.42/26.70    (16)  all_58_23 = e0
% 172.42/26.70  
% 172.42/26.70  Begin of proof
% 172.42/26.70  | 
% 172.42/26.70  | BETA: splitting (5) gives:
% 172.42/26.70  | 
% 172.42/26.70  | Case 1:
% 172.42/26.70  | | 
% 172.42/26.70  | |   (17)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1)
% 172.42/26.70  | |         | (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 =
% 172.42/26.70  | |           e0) | (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 &
% 172.42/26.70  | |           all_58_25 = e2) | (all_58_17 = e3 & all_58_20 = e3 & all_58_23 =
% 172.42/26.70  | |           e2 & all_58_29 = e2) | (all_58_17 = e2 & all_58_18 = e3 &
% 172.42/26.70  | |           all_58_20 = e2 & all_58_24 = e3) | (all_58_17 = e2 & all_58_19 =
% 172.42/26.70  | |           e3 & all_58_20 = e2 & all_58_28 = e3) | (all_58_17 = e2 &
% 172.42/26.70  | |           all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) | (all_58_17 =
% 172.42/26.70  | |           e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.42/26.70  | |         (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.42/26.70  | |           all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 =
% 172.42/26.70  | |           e3 & all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 172.42/26.70  | |         (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1)
% 172.42/26.70  | |         | (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 & all_58_28 =
% 172.42/26.70  | |           e3) | (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 &
% 172.42/26.70  | |           all_58_25 = e2) | (all_58_18 = e1 & all_58_24 = e1 & all_58_27 =
% 172.42/26.70  | |           e0 & all_58_30 = e0)
% 172.42/26.70  | | 
% 172.42/26.70  | | BETA: splitting (17) gives:
% 172.42/26.70  | | 
% 172.42/26.70  | | Case 1:
% 172.42/26.70  | | | 
% 172.42/26.70  | | |   (18)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 =
% 172.42/26.70  | | |           e1) | (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 172.42/26.70  | | |           all_58_28 = e0) | (all_58_17 = e3 & all_58_20 = e3 & all_58_22 =
% 172.42/26.70  | | |           e2 & all_58_25 = e2) | (all_58_17 = e3 & all_58_20 = e3 &
% 172.42/26.70  | | |           all_58_23 = e2 & all_58_29 = e2) | (all_58_17 = e2 & all_58_18 =
% 172.42/26.70  | | |           e3 & all_58_20 = e2 & all_58_24 = e3) | (all_58_17 = e2 &
% 172.42/26.70  | | |           all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) | (all_58_17 =
% 172.42/26.70  | | |           e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1)
% 172.42/26.70  | | | 
% 172.42/26.70  | | | BETA: splitting (18) gives:
% 172.42/26.70  | | | 
% 172.42/26.70  | | | Case 1:
% 172.42/26.70  | | | | 
% 172.42/26.70  | | | |   (19)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 =
% 172.42/26.70  | | | |           e1) | (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 172.42/26.70  | | | |           all_58_28 = e0) | (all_58_17 = e3 & all_58_20 = e3 & all_58_22
% 172.42/26.70  | | | |           = e2 & all_58_25 = e2)
% 172.42/26.70  | | | | 
% 172.42/26.70  | | | | BETA: splitting (19) gives:
% 172.42/26.70  | | | | 
% 172.42/26.70  | | | | Case 1:
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | |   (20)  all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 =
% 172.42/26.70  | | | | |         e1
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | | ALPHA: (20) implies:
% 172.42/26.70  | | | | |   (21)  all_58_24 = e1
% 172.42/26.70  | | | | |   (22)  all_58_17 = e3
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | | COMBINE_EQS: (11), (22) imply:
% 172.42/26.70  | | | | |   (23)  e3 = e0
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | | SIMP: (23) implies:
% 172.42/26.70  | | | | |   (24)  e3 = e0
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | | COMBINE_EQS: (2), (21) imply:
% 172.42/26.70  | | | | |   (25)  e3 = e1
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | | REF_CLOSE: (15), (24), (25) are inconsistent by sub-proof #427.
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | Case 2:
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | |   (26)  (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28
% 172.42/26.70  | | | | |           = e0) | (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 &
% 172.42/26.70  | | | | |           all_58_25 = e2)
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | | BETA: splitting (26) gives:
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | | Case 1:
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | |   (27)  all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28
% 172.42/26.70  | | | | | |         = e0
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | | ALPHA: (27) implies:
% 172.42/26.70  | | | | | |   (28)  all_58_20 = e3
% 172.42/26.70  | | | | | |   (29)  all_58_19 = e0
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | | COMBINE_EQS: (8), (29) imply:
% 172.42/26.70  | | | | | |   (30)  e3 = e0
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | | SIMP: (30) implies:
% 172.42/26.70  | | | | | |   (31)  e3 = e0
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | | COMBINE_EQS: (3), (28) imply:
% 172.42/26.70  | | | | | |   (32)  e3 = e1
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | | REF_CLOSE: (15), (31), (32) are inconsistent by sub-proof #310.
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | Case 2:
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | |   (33)  all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25
% 172.42/26.70  | | | | | |         = e2
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | | ALPHA: (33) implies:
% 172.42/26.70  | | | | | |   (34)  all_58_20 = e3
% 172.42/26.70  | | | | | |   (35)  all_58_17 = e3
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | | REF_CLOSE: (3), (11), (15), (34), (35) are inconsistent by sub-proof
% 172.42/26.70  | | | | | |            #309.
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | End of split
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | End of split
% 172.42/26.70  | | | | 
% 172.42/26.70  | | | Case 2:
% 172.42/26.70  | | | | 
% 172.42/26.70  | | | |   (36)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 =
% 172.42/26.70  | | | |           e2) | (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 172.42/26.70  | | | |           all_58_24 = e3) | (all_58_17 = e2 & all_58_19 = e3 & all_58_20
% 172.42/26.70  | | | |           = e2 & all_58_28 = e3) | (all_58_17 = e2 & all_58_20 = e2 &
% 172.42/26.70  | | | |           all_58_22 = e1 & all_58_25 = e1)
% 172.42/26.70  | | | | 
% 172.42/26.70  | | | | BETA: splitting (36) gives:
% 172.42/26.70  | | | | 
% 172.42/26.70  | | | | Case 1:
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | |   (37)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29
% 172.42/26.70  | | | | |           = e2) | (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 172.42/26.70  | | | | |           all_58_24 = e3)
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | | BETA: splitting (37) gives:
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | | Case 1:
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | |   (38)  all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29
% 172.42/26.70  | | | | | |         = e2
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | | ALPHA: (38) implies:
% 172.42/26.70  | | | | | |   (39)  all_58_20 = e3
% 172.42/26.70  | | | | | |   (40)  all_58_17 = e3
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | | REF_CLOSE: (3), (11), (15), (39), (40) are inconsistent by sub-proof
% 172.42/26.70  | | | | | |            #309.
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | Case 2:
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | |   (41)  all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24
% 172.42/26.70  | | | | | |         = e3
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | | ALPHA: (41) implies:
% 172.42/26.70  | | | | | |   (42)  all_58_20 = e2
% 172.42/26.70  | | | | | |   (43)  all_58_17 = e2
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | | REF_CLOSE: (3), (11), (15), (42), (43) are inconsistent by sub-proof
% 172.42/26.70  | | | | | |            #307.
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | End of split
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | Case 2:
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | |   (44)  (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28
% 172.42/26.70  | | | | |           = e3) | (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 172.42/26.70  | | | | |           all_58_25 = e1)
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | | BETA: splitting (44) gives:
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | | Case 1:
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | |   (45)  all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28
% 172.42/26.70  | | | | | |         = e3
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | | ALPHA: (45) implies:
% 172.42/26.70  | | | | | |   (46)  all_58_20 = e2
% 172.42/26.70  | | | | | |   (47)  all_58_17 = e2
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | | REF_CLOSE: (3), (11), (15), (46), (47) are inconsistent by sub-proof
% 172.42/26.70  | | | | | |            #307.
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | Case 2:
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | |   (48)  all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25
% 172.42/26.70  | | | | | |         = e1
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | | ALPHA: (48) implies:
% 172.42/26.70  | | | | | |   (49)  all_58_20 = e2
% 172.42/26.70  | | | | | |   (50)  all_58_17 = e2
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | | COMBINE_EQS: (11), (50) imply:
% 172.42/26.70  | | | | | |   (51)  e2 = e0
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | | SIMP: (51) implies:
% 172.42/26.70  | | | | | |   (52)  e2 = e0
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | | COMBINE_EQS: (3), (49) imply:
% 172.42/26.70  | | | | | |   (53)  e2 = e1
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | | COMBINE_EQS: (52), (53) imply:
% 172.42/26.70  | | | | | |   (54)  e1 = e0
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | | REDUCE: (15), (54) imply:
% 172.42/26.70  | | | | | |   (55)  $false
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | | CLOSE: (55) is inconsistent.
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | End of split
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | End of split
% 172.42/26.70  | | | | 
% 172.42/26.70  | | | End of split
% 172.42/26.70  | | | 
% 172.42/26.70  | | Case 2:
% 172.42/26.70  | | | 
% 172.42/26.70  | | |   (56)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 =
% 172.42/26.70  | | |           e0) | (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 =
% 172.42/26.70  | | |           e3 & all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) |
% 172.42/26.70  | | |         (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 & all_58_25 =
% 172.42/26.70  | | |           e1) | (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 172.42/26.70  | | |           all_58_30 = e1) | (all_58_18 = e1 & all_58_19 = e3 & all_58_24 =
% 172.42/26.70  | | |           e1 & all_58_28 = e3) | (all_58_18 = e1 & all_58_22 = e2 &
% 172.42/26.70  | | |           all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 & all_58_24 =
% 172.42/26.70  | | |           e1 & all_58_27 = e0 & all_58_30 = e0)
% 172.42/26.70  | | | 
% 172.42/26.70  | | | BETA: splitting (56) gives:
% 172.42/26.70  | | | 
% 172.42/26.70  | | | Case 1:
% 172.42/26.70  | | | | 
% 172.42/26.70  | | | |   (57)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 =
% 172.42/26.70  | | | |           e0) | (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18
% 172.42/26.70  | | | |           = e3 & all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) |
% 172.42/26.70  | | | |         (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 & all_58_25 =
% 172.42/26.70  | | | |           e1)
% 172.42/26.70  | | | | 
% 172.42/26.70  | | | | BETA: splitting (57) gives:
% 172.42/26.70  | | | | 
% 172.42/26.70  | | | | Case 1:
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | |   (58)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29
% 172.42/26.70  | | | | |           = e0) | (all_58_17 = e2 & all_58_20 = e2 & e3 = e2)
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | | BETA: splitting (58) gives:
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | | Case 1:
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | |   (59)  all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29
% 172.42/26.70  | | | | | |         = e0
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | | ALPHA: (59) implies:
% 172.42/26.70  | | | | | |   (60)  all_58_29 = e0
% 172.42/26.70  | | | | | |   (61)  all_58_20 = e2
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | | COMBINE_EQS: (3), (61) imply:
% 172.42/26.70  | | | | | |   (62)  e2 = e1
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | | COMBINE_EQS: (13), (60) imply:
% 172.42/26.70  | | | | | |   (63)  e2 = e0
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | | REF_CLOSE: (15), (62), (63) are inconsistent by sub-proof #308.
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | Case 2:
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | |   (64)  all_58_17 = e2 & all_58_20 = e2 & e3 = e2
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | | ALPHA: (64) implies:
% 172.42/26.70  | | | | | |   (65)  all_58_20 = e2
% 172.42/26.70  | | | | | |   (66)  all_58_17 = e2
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | | REF_CLOSE: (3), (11), (15), (65), (66) are inconsistent by sub-proof
% 172.42/26.70  | | | | | |            #307.
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | End of split
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | Case 2:
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | |   (67)  (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 & all_58_28
% 172.42/26.70  | | | | |           = e0) | (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 &
% 172.42/26.70  | | | | |           all_58_25 = e1)
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | | BETA: splitting (67) gives:
% 172.42/26.70  | | | | | 
% 172.42/26.70  | | | | | Case 1:
% 172.42/26.70  | | | | | | 
% 172.42/26.70  | | | | | |   (68)  all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 & all_58_28
% 172.42/26.70  | | | | | |         = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | ALPHA: (68) implies:
% 172.42/26.71  | | | | | |   (69)  all_58_19 = e0
% 172.42/26.71  | | | | | |   (70)  all_58_18 = e3
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | COMBINE_EQS: (6), (70) imply:
% 172.42/26.71  | | | | | |   (71)  e3 = e1
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | COMBINE_EQS: (8), (69) imply:
% 172.42/26.71  | | | | | |   (72)  e3 = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | REF_CLOSE: (15), (71), (72) are inconsistent by sub-proof #306.
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | Case 2:
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | |   (73)  all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 & all_58_25
% 172.42/26.71  | | | | | |         = e1
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | ALPHA: (73) implies:
% 172.42/26.71  | | | | | |   (74)  all_58_18 = e3
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | COMBINE_EQS: (6), (74) imply:
% 172.42/26.71  | | | | | |   (75)  e3 = e1
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | REDUCE: (1), (75) imply:
% 172.42/26.71  | | | | | |   (76)  $false
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | CLOSE: (76) is inconsistent.
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | End of split
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | End of split
% 172.42/26.71  | | | | 
% 172.42/26.71  | | | Case 2:
% 172.42/26.71  | | | | 
% 172.42/26.71  | | | |   (77)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30 =
% 172.42/26.71  | | | |           e1) | (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 172.42/26.71  | | | |           all_58_28 = e3) | (all_58_18 = e1 & all_58_22 = e2 & all_58_24
% 172.42/26.71  | | | |           = e1 & all_58_25 = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 172.42/26.71  | | | |           all_58_27 = e0 & all_58_30 = e0)
% 172.42/26.71  | | | | 
% 172.42/26.71  | | | | BETA: splitting (77) gives:
% 172.42/26.71  | | | | 
% 172.42/26.71  | | | | Case 1:
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | |   (78)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30
% 172.42/26.71  | | | | |           = e1) | (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 172.42/26.71  | | | | |           all_58_28 = e3)
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | | BETA: splitting (78) gives:
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | | Case 1:
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | |   (79)  all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30
% 172.42/26.71  | | | | | |         = e1
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | ALPHA: (79) implies:
% 172.42/26.71  | | | | | |   (80)  all_58_30 = e1
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | COMBINE_EQS: (12), (80) imply:
% 172.42/26.71  | | | | | |   (81)  e3 = e1
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | REDUCE: (1), (81) imply:
% 172.42/26.71  | | | | | |   (82)  $false
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | CLOSE: (82) is inconsistent.
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | Case 2:
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | |   (83)  all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 & all_58_28
% 172.42/26.71  | | | | | |         = e3
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | ALPHA: (83) implies:
% 172.42/26.71  | | | | | |   (84)  all_58_28 = e3
% 172.42/26.71  | | | | | |   (85)  all_58_24 = e1
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | COMBINE_EQS: (2), (85) imply:
% 172.42/26.71  | | | | | |   (86)  e3 = e1
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | SIMP: (86) implies:
% 172.42/26.71  | | | | | |   (87)  e3 = e1
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | COMBINE_EQS: (9), (84) imply:
% 172.42/26.71  | | | | | |   (88)  e3 = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | REF_CLOSE: (15), (87), (88) are inconsistent by sub-proof #310.
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | End of split
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | Case 2:
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | |   (89)  (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25
% 172.42/26.71  | | | | |           = e2) | (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 172.42/26.71  | | | | |           all_58_30 = e0)
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | | BETA: splitting (89) gives:
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | | Case 1:
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | |   (90)  all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25
% 172.42/26.71  | | | | | |         = e2
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | REF_CLOSE: (4), (7), (90) are inconsistent by sub-proof #492.
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | Case 2:
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | |   (91)  all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 & all_58_30
% 172.42/26.71  | | | | | |         = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | ALPHA: (91) implies:
% 172.42/26.71  | | | | | |   (92)  all_58_30 = e0
% 172.42/26.71  | | | | | |   (93)  all_58_24 = e1
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | COMBINE_EQS: (2), (93) imply:
% 172.42/26.71  | | | | | |   (94)  e3 = e1
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | SIMP: (94) implies:
% 172.42/26.71  | | | | | |   (95)  e3 = e1
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | COMBINE_EQS: (12), (92) imply:
% 172.42/26.71  | | | | | |   (96)  e3 = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | REF_CLOSE: (15), (95), (96) are inconsistent by sub-proof #310.
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | End of split
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | End of split
% 172.42/26.71  | | | | 
% 172.42/26.71  | | | End of split
% 172.42/26.71  | | | 
% 172.42/26.71  | | End of split
% 172.42/26.71  | | 
% 172.42/26.71  | Case 2:
% 172.42/26.71  | | 
% 172.42/26.71  | |   (97)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 &
% 172.42/26.71  | |           all_58_23 = e0 & all_58_28 = e3 & all_58_29 = e0) | (all_58_19 =
% 172.42/26.71  | |           e3 & all_58_27 = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.42/26.71  | |         (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29 = e2)
% 172.42/26.71  | |         | (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 & all_58_30 =
% 172.42/26.71  | |           e1) | (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 =
% 172.42/26.71  | |           e2 & all_58_23 = e0 & all_58_25 = e2 & all_58_29 = e0) |
% 172.42/26.71  | |         (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 & all_58_30 = e1)
% 172.42/26.71  | |         | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29 =
% 172.42/26.71  | |           e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.42/26.71  | |           all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.42/26.71  | |         (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0)
% 172.42/26.71  | |         | (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 =
% 172.42/26.71  | |           e1) | (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 =
% 172.42/26.71  | |           e0 & all_58_30 = e0 & e1 = e0)
% 172.42/26.71  | | 
% 172.42/26.71  | | BETA: splitting (97) gives:
% 172.42/26.71  | | 
% 172.42/26.71  | | Case 1:
% 172.42/26.71  | | | 
% 172.42/26.71  | | |   (98)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 &
% 172.42/26.71  | | |           all_58_23 = e0 & all_58_28 = e3 & all_58_29 = e0) | (all_58_19 =
% 172.42/26.71  | | |           e3 & all_58_27 = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.42/26.71  | | |         (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29 =
% 172.42/26.71  | | |           e2) | (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 172.42/26.71  | | |           all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.42/26.71  | | |         (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 & all_58_29 =
% 172.42/26.71  | | |           e0)
% 172.42/26.71  | | | 
% 172.42/26.71  | | | BETA: splitting (98) gives:
% 172.42/26.71  | | | 
% 172.42/26.71  | | | Case 1:
% 172.42/26.71  | | | | 
% 172.42/26.71  | | | |   (99)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 &
% 172.42/26.71  | | | |           all_58_23 = e0 & all_58_28 = e3 & all_58_29 = e0) | (all_58_19
% 172.42/26.71  | | | |           = e3 & all_58_27 = e0 & all_58_28 = e3 & all_58_30 = e0)
% 172.42/26.71  | | | | 
% 172.42/26.71  | | | | BETA: splitting (99) gives:
% 172.42/26.71  | | | | 
% 172.42/26.71  | | | | Case 1:
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | |   (100)  all_58_18 = e1 & all_58_24 = e1 & e3 = e1
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | | ALPHA: (100) implies:
% 172.42/26.71  | | | | |   (101)  all_58_24 = e1
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | | REF_CLOSE: (1), (2), (101) are inconsistent by sub-proof #305.
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | Case 2:
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | |   (102)  (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 & all_58_29
% 172.42/26.71  | | | | |            = e0) | (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 172.42/26.71  | | | | |            all_58_30 = e0)
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | | BETA: splitting (102) gives:
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | | Case 1:
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | |   (103)  all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 172.42/26.71  | | | | | |          all_58_29 = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | ALPHA: (103) implies:
% 172.42/26.71  | | | | | |   (104)  all_58_29 = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | COMBINE_EQS: (13), (104) imply:
% 172.42/26.71  | | | | | |   (105)  e2 = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | REDUCE: (14), (105) imply:
% 172.42/26.71  | | | | | |   (106)  $false
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | CLOSE: (106) is inconsistent.
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | Case 2:
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | |   (107)  all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 172.42/26.71  | | | | | |          all_58_30 = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | ALPHA: (107) implies:
% 172.42/26.71  | | | | | |   (108)  all_58_30 = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | COMBINE_EQS: (12), (108) imply:
% 172.42/26.71  | | | | | |   (109)  e3 = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | REDUCE: (10), (109) imply:
% 172.42/26.71  | | | | | |   (110)  $false
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | CLOSE: (110) is inconsistent.
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | End of split
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | End of split
% 172.42/26.71  | | | | 
% 172.42/26.71  | | | Case 2:
% 172.42/26.71  | | | | 
% 172.42/26.71  | | | |   (111)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29 =
% 172.42/26.71  | | | |            e2) | (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 172.42/26.71  | | | |            all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 & e3 = e0)
% 172.42/26.71  | | | |          | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 & all_58_29
% 172.42/26.71  | | | |            = e0)
% 172.42/26.71  | | | | 
% 172.42/26.71  | | | | BETA: splitting (111) gives:
% 172.42/26.71  | | | | 
% 172.42/26.71  | | | | Case 1:
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | |   (112)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29
% 172.42/26.71  | | | | |            = e2) | (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 172.42/26.71  | | | | |            all_58_30 = e1)
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | | BETA: splitting (112) gives:
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | | Case 1:
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | |   (113)  all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 172.42/26.71  | | | | | |          all_58_29 = e2
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | REF_CLOSE: (14), (16), (113) are inconsistent by sub-proof #819.
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | Case 2:
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | |   (114)  all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 172.42/26.71  | | | | | |          all_58_30 = e1
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | ALPHA: (114) implies:
% 172.42/26.71  | | | | | |   (115)  all_58_30 = e1
% 172.42/26.71  | | | | | |   (116)  all_58_19 = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | COMBINE_EQS: (8), (116) imply:
% 172.42/26.71  | | | | | |   (117)  e3 = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | SIMP: (117) implies:
% 172.42/26.71  | | | | | |   (118)  e3 = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | COMBINE_EQS: (12), (115) imply:
% 172.42/26.71  | | | | | |   (119)  e3 = e1
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | COMBINE_EQS: (118), (119) imply:
% 172.42/26.71  | | | | | |   (120)  e1 = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | REDUCE: (15), (120) imply:
% 172.42/26.71  | | | | | |   (121)  $false
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | CLOSE: (121) is inconsistent.
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | End of split
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | Case 2:
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | |   (122)  (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2
% 172.42/26.71  | | | | |            & all_58_23 = e0 & all_58_25 = e2 & all_58_29 = e0)
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | | BETA: splitting (122) gives:
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | | Case 1:
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | |   (123)  all_58_19 = e0 & all_58_28 = e0 & e3 = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | ALPHA: (123) implies:
% 172.42/26.71  | | | | | |   (124)  all_58_19 = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | REF_CLOSE: (8), (10), (124) are inconsistent by sub-proof #304.
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | Case 2:
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | |   (125)  all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.42/26.71  | | | | | |          all_58_29 = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | ALPHA: (125) implies:
% 172.42/26.71  | | | | | |   (126)  all_58_29 = e0
% 172.42/26.71  | | | | | |   (127)  all_58_25 = e2
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | COMBINE_EQS: (4), (127) imply:
% 172.42/26.71  | | | | | |   (128)  e2 = e1
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | COMBINE_EQS: (13), (126) imply:
% 172.42/26.71  | | | | | |   (129)  e2 = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | REF_CLOSE: (15), (128), (129) are inconsistent by sub-proof #308.
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | End of split
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | End of split
% 172.42/26.71  | | | | 
% 172.42/26.71  | | | End of split
% 172.42/26.71  | | | 
% 172.42/26.71  | | Case 2:
% 172.42/26.71  | | | 
% 172.42/26.71  | | |   (130)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 & all_58_30 =
% 172.42/26.71  | | |            e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.42/26.71  | | |            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27
% 172.42/26.71  | | |            = e0 & all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2
% 172.42/26.71  | | |            = e1) | (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 172.42/26.71  | | |            all_58_30 = e0) | (all_58_23 = e0 & all_58_27 = e1 & all_58_29
% 172.42/26.71  | | |            = e0 & all_58_30 = e1) | (all_58_23 = e0 & all_58_29 = e0 & e2
% 172.42/26.71  | | |            = e0) | (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.42/26.71  | | | 
% 172.42/26.71  | | | BETA: splitting (130) gives:
% 172.42/26.71  | | | 
% 172.42/26.71  | | | Case 1:
% 172.42/26.71  | | | | 
% 172.42/26.71  | | | |   (131)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 & all_58_30 =
% 172.42/26.71  | | | |            e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.42/26.71  | | | |            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 &
% 172.42/26.71  | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_22 = e1 &
% 172.42/26.71  | | | |            all_58_25 = e1 & e2 = e1)
% 172.42/26.71  | | | | 
% 172.42/26.71  | | | | BETA: splitting (131) gives:
% 172.42/26.71  | | | | 
% 172.42/26.71  | | | | Case 1:
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | |   (132)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 & all_58_30
% 172.42/26.71  | | | | |            = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.42/26.71  | | | | |            all_58_29 = e2)
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | | BETA: splitting (132) gives:
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | | Case 1:
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | |   (133)  all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.42/26.71  | | | | | |          all_58_30 = e1
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | ALPHA: (133) implies:
% 172.42/26.71  | | | | | |   (134)  all_58_25 = e2
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | COMBINE_EQS: (4), (134) imply:
% 172.42/26.71  | | | | | |   (135)  e2 = e1
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | REDUCE: (7), (135) imply:
% 172.42/26.71  | | | | | |   (136)  $false
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | CLOSE: (136) is inconsistent.
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | Case 2:
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | |   (137)  all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.42/26.71  | | | | | |          all_58_29 = e2
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | ALPHA: (137) implies:
% 172.42/26.71  | | | | | |   (138)  all_58_23 = e2
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | COMBINE_EQS: (16), (138) imply:
% 172.42/26.71  | | | | | |   (139)  e2 = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | REDUCE: (14), (139) imply:
% 172.42/26.71  | | | | | |   (140)  $false
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | CLOSE: (140) is inconsistent.
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | End of split
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | Case 2:
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | |   (141)  (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 & all_58_30
% 172.42/26.71  | | | | |            = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1)
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | | BETA: splitting (141) gives:
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | | Case 1:
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | |   (142)  all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.42/26.71  | | | | | |          all_58_30 = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | ALPHA: (142) implies:
% 172.42/26.71  | | | | | |   (143)  all_58_30 = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | COMBINE_EQS: (12), (143) imply:
% 172.42/26.71  | | | | | |   (144)  e3 = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | REDUCE: (10), (144) imply:
% 172.42/26.71  | | | | | |   (145)  $false
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | CLOSE: (145) is inconsistent.
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | Case 2:
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | |   (146)  all_58_22 = e1 & all_58_25 = e1 & e2 = e1
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | ALPHA: (146) implies:
% 172.42/26.71  | | | | | |   (147)  e2 = e1
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | REDUCE: (7), (147) imply:
% 172.42/26.71  | | | | | |   (148)  $false
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | CLOSE: (148) is inconsistent.
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | End of split
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | End of split
% 172.42/26.71  | | | | 
% 172.42/26.71  | | | Case 2:
% 172.42/26.71  | | | | 
% 172.42/26.71  | | | |   (149)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 =
% 172.42/26.71  | | | |            e0) | (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 172.42/26.71  | | | |            all_58_30 = e1) | (all_58_23 = e0 & all_58_29 = e0 & e2 = e0)
% 172.42/26.71  | | | |          | (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.42/26.71  | | | | 
% 172.42/26.71  | | | | BETA: splitting (149) gives:
% 172.42/26.71  | | | | 
% 172.42/26.71  | | | | Case 1:
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | |   (150)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30
% 172.42/26.71  | | | | |            = e0) | (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 172.42/26.71  | | | | |            all_58_30 = e1)
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | | BETA: splitting (150) gives:
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | | Case 1:
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | |   (151)  all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 172.42/26.71  | | | | | |          all_58_30 = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | ALPHA: (151) implies:
% 172.42/26.71  | | | | | |   (152)  all_58_23 = e2
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | COMBINE_EQS: (16), (152) imply:
% 172.42/26.71  | | | | | |   (153)  e2 = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | REDUCE: (14), (153) imply:
% 172.42/26.71  | | | | | |   (154)  $false
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | CLOSE: (154) is inconsistent.
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | Case 2:
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | |   (155)  all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 172.42/26.71  | | | | | |          all_58_30 = e1
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | ALPHA: (155) implies:
% 172.42/26.71  | | | | | |   (156)  all_58_29 = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | COMBINE_EQS: (13), (156) imply:
% 172.42/26.71  | | | | | |   (157)  e2 = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | REDUCE: (14), (157) imply:
% 172.42/26.71  | | | | | |   (158)  $false
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | CLOSE: (158) is inconsistent.
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | End of split
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | Case 2:
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | |   (159)  (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0
% 172.42/26.71  | | | | |            & all_58_30 = e0 & e1 = e0)
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | | BETA: splitting (159) gives:
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | | Case 1:
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | |   (160)  all_58_23 = e0 & all_58_29 = e0 & e2 = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | REF_CLOSE: (13), (14), (160) are inconsistent by sub-proof #303.
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | Case 2:
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | |   (161)  all_58_27 = e0 & all_58_30 = e0 & e1 = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | ALPHA: (161) implies:
% 172.42/26.71  | | | | | |   (162)  e1 = e0
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | REDUCE: (15), (162) imply:
% 172.42/26.71  | | | | | |   (163)  $false
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | | CLOSE: (163) is inconsistent.
% 172.42/26.71  | | | | | | 
% 172.42/26.71  | | | | | End of split
% 172.42/26.71  | | | | | 
% 172.42/26.71  | | | | End of split
% 172.42/26.71  | | | | 
% 172.42/26.71  | | | End of split
% 172.42/26.71  | | | 
% 172.42/26.71  | | End of split
% 172.42/26.71  | | 
% 172.42/26.71  | End of split
% 172.42/26.71  | 
% 172.42/26.71  End of proof
% 172.42/26.71  
% 172.42/26.71  Sub-proof #303 shows that the following formulas are inconsistent:
% 172.42/26.71  ----------------------------------------------------------------
% 172.42/26.71    (1)  all_58_23 = e0 & all_58_29 = e0 & e2 = e0
% 172.42/26.71    (2)  all_58_29 = e2
% 172.42/26.71    (3)   ~ (e2 = e0)
% 172.42/26.71  
% 172.42/26.71  Begin of proof
% 172.42/26.71  | 
% 172.42/26.71  | ALPHA: (1) implies:
% 172.42/26.71  |   (4)  all_58_29 = e0
% 172.42/26.71  | 
% 172.42/26.71  | COMBINE_EQS: (2), (4) imply:
% 172.42/26.71  |   (5)  e2 = e0
% 172.42/26.71  | 
% 172.42/26.71  | REDUCE: (3), (5) imply:
% 172.42/26.71  |   (6)  $false
% 172.42/26.71  | 
% 172.42/26.71  | CLOSE: (6) is inconsistent.
% 172.42/26.71  | 
% 172.42/26.71  End of proof
% 172.42/26.71  
% 172.42/26.71  Sub-proof #304 shows that the following formulas are inconsistent:
% 172.42/26.71  ----------------------------------------------------------------
% 172.42/26.71    (1)  all_58_19 = e3
% 172.42/26.71    (2)  all_58_19 = e0
% 172.42/26.71    (3)   ~ (e3 = e0)
% 172.42/26.71  
% 172.42/26.71  Begin of proof
% 172.42/26.71  | 
% 172.42/26.71  | COMBINE_EQS: (1), (2) imply:
% 172.42/26.71  |   (4)  e3 = e0
% 172.42/26.71  | 
% 172.42/26.71  | SIMP: (4) implies:
% 172.42/26.71  |   (5)  e3 = e0
% 172.42/26.71  | 
% 172.42/26.71  | REDUCE: (3), (5) imply:
% 172.42/26.71  |   (6)  $false
% 172.42/26.71  | 
% 172.42/26.71  | CLOSE: (6) is inconsistent.
% 172.42/26.71  | 
% 172.42/26.71  End of proof
% 172.42/26.71  
% 172.42/26.71  Sub-proof #305 shows that the following formulas are inconsistent:
% 172.42/26.71  ----------------------------------------------------------------
% 172.42/26.71    (1)  all_58_24 = e3
% 172.42/26.71    (2)  all_58_24 = e1
% 172.42/26.71    (3)   ~ (e3 = e1)
% 172.42/26.71  
% 172.42/26.71  Begin of proof
% 172.42/26.71  | 
% 172.42/26.71  | COMBINE_EQS: (1), (2) imply:
% 172.42/26.71  |   (4)  e3 = e1
% 172.42/26.71  | 
% 172.42/26.71  | SIMP: (4) implies:
% 172.42/26.71  |   (5)  e3 = e1
% 172.42/26.71  | 
% 172.42/26.71  | REDUCE: (3), (5) imply:
% 172.42/26.71  |   (6)  $false
% 172.42/26.71  | 
% 172.42/26.71  | CLOSE: (6) is inconsistent.
% 172.42/26.71  | 
% 172.42/26.71  End of proof
% 172.42/26.71  
% 172.42/26.71  Sub-proof #306 shows that the following formulas are inconsistent:
% 172.42/26.71  ----------------------------------------------------------------
% 172.42/26.71    (1)  e3 = e0
% 172.42/26.71    (2)  e3 = e1
% 172.42/26.71    (3)   ~ (e1 = e0)
% 172.42/26.71  
% 172.42/26.71  Begin of proof
% 172.42/26.71  | 
% 172.42/26.71  | SIMP: (1) implies:
% 172.42/26.71  |   (4)  e3 = e0
% 172.42/26.71  | 
% 172.42/26.71  | COMBINE_EQS: (2), (4) imply:
% 172.42/26.71  |   (5)  e1 = e0
% 172.42/26.71  | 
% 172.42/26.71  | REDUCE: (3), (5) imply:
% 172.42/26.71  |   (6)  $false
% 172.42/26.71  | 
% 172.42/26.71  | CLOSE: (6) is inconsistent.
% 172.42/26.71  | 
% 172.42/26.71  End of proof
% 172.42/26.71  
% 172.42/26.71  Sub-proof #307 shows that the following formulas are inconsistent:
% 172.42/26.71  ----------------------------------------------------------------
% 172.42/26.71    (1)  all_58_20 = e1
% 172.42/26.71    (2)  all_58_20 = e2
% 172.42/26.71    (3)  all_58_17 = e0
% 172.42/26.71    (4)  all_58_17 = e2
% 172.42/26.71    (5)   ~ (e1 = e0)
% 172.42/26.71  
% 172.42/26.71  Begin of proof
% 172.42/26.71  | 
% 172.42/26.71  | COMBINE_EQS: (3), (4) imply:
% 172.42/26.71  |   (6)  e2 = e0
% 172.42/26.71  | 
% 172.42/26.71  | SIMP: (6) implies:
% 172.42/26.71  |   (7)  e2 = e0
% 172.42/26.71  | 
% 172.42/26.71  | COMBINE_EQS: (1), (2) imply:
% 172.42/26.71  |   (8)  e2 = e1
% 172.42/26.71  | 
% 172.42/26.71  | REF_CLOSE: (5), (7), (8) are inconsistent by sub-proof #308.
% 172.42/26.71  | 
% 172.42/26.71  End of proof
% 172.42/26.71  
% 172.42/26.71  Sub-proof #308 shows that the following formulas are inconsistent:
% 172.42/26.71  ----------------------------------------------------------------
% 172.42/26.71    (1)  e2 = e1
% 172.42/26.71    (2)  e2 = e0
% 172.42/26.71    (3)   ~ (e1 = e0)
% 172.42/26.71  
% 172.42/26.71  Begin of proof
% 172.42/26.71  | 
% 172.42/26.71  | COMBINE_EQS: (1), (2) imply:
% 172.42/26.71  |   (4)  e1 = e0
% 172.42/26.71  | 
% 172.42/26.71  | SIMP: (4) implies:
% 172.42/26.71  |   (5)  e1 = e0
% 172.42/26.71  | 
% 172.42/26.71  | REDUCE: (3), (5) imply:
% 172.42/26.71  |   (6)  $false
% 172.42/26.71  | 
% 172.42/26.71  | CLOSE: (6) is inconsistent.
% 172.42/26.71  | 
% 172.42/26.71  End of proof
% 172.42/26.71  
% 172.42/26.71  Sub-proof #309 shows that the following formulas are inconsistent:
% 172.42/26.71  ----------------------------------------------------------------
% 172.42/26.71    (1)  all_58_20 = e1
% 172.42/26.71    (2)  all_58_17 = e3
% 172.42/26.71    (3)  all_58_17 = e0
% 172.42/26.71    (4)  all_58_20 = e3
% 172.42/26.71    (5)   ~ (e1 = e0)
% 172.42/26.71  
% 172.42/26.71  Begin of proof
% 172.42/26.71  | 
% 172.42/26.71  | COMBINE_EQS: (2), (3) imply:
% 172.42/26.71  |   (6)  e3 = e0
% 172.42/26.71  | 
% 172.42/26.71  | SIMP: (6) implies:
% 172.42/26.71  |   (7)  e3 = e0
% 172.42/26.71  | 
% 172.42/26.71  | COMBINE_EQS: (1), (4) imply:
% 172.42/26.71  |   (8)  e3 = e1
% 172.42/26.71  | 
% 172.42/26.71  | REF_CLOSE: (5), (7), (8) are inconsistent by sub-proof #310.
% 172.42/26.71  | 
% 172.42/26.71  End of proof
% 172.42/26.71  
% 172.42/26.71  Sub-proof #310 shows that the following formulas are inconsistent:
% 172.42/26.71  ----------------------------------------------------------------
% 172.42/26.71    (1)  e3 = e1
% 172.42/26.71    (2)  e3 = e0
% 172.42/26.71    (3)   ~ (e1 = e0)
% 172.42/26.71  
% 172.42/26.71  Begin of proof
% 172.42/26.71  | 
% 172.42/26.71  | COMBINE_EQS: (1), (2) imply:
% 172.42/26.71  |   (4)  e1 = e0
% 172.42/26.71  | 
% 172.42/26.71  | SIMP: (4) implies:
% 172.42/26.71  |   (5)  e1 = e0
% 172.42/26.71  | 
% 172.42/26.71  | REDUCE: (3), (5) imply:
% 172.42/26.71  |   (6)  $false
% 172.42/26.71  | 
% 172.42/26.71  | CLOSE: (6) is inconsistent.
% 172.42/26.71  | 
% 172.42/26.71  End of proof
% 172.42/26.71  
% 172.42/26.71  Sub-proof #311 shows that the following formulas are inconsistent:
% 172.42/26.71  ----------------------------------------------------------------
% 172.42/26.71    (1)  all_58_31 = e1
% 172.42/26.71    (2)  all_58_31 = e0
% 172.42/26.71    (3)   ~ (e1 = e0)
% 172.42/26.71  
% 172.42/26.71  Begin of proof
% 172.42/26.71  | 
% 172.42/26.71  | COMBINE_EQS: (1), (2) imply:
% 172.42/26.71  |   (4)  e1 = e0
% 172.42/26.71  | 
% 172.42/26.71  | SIMP: (4) implies:
% 172.42/26.71  |   (5)  e1 = e0
% 172.42/26.71  | 
% 172.42/26.71  | REDUCE: (3), (5) imply:
% 172.42/26.71  |   (6)  $false
% 172.42/26.71  | 
% 172.42/26.71  | CLOSE: (6) is inconsistent.
% 172.42/26.71  | 
% 172.42/26.71  End of proof
% 172.42/26.71  
% 172.42/26.71  Sub-proof #312 shows that the following formulas are inconsistent:
% 172.42/26.71  ----------------------------------------------------------------
% 172.42/26.71    (1)  all_58_26 = e1
% 172.42/26.71    (2)  all_58_26 = e0
% 172.42/26.71    (3)   ~ (e1 = e0)
% 172.42/26.71  
% 172.42/26.71  Begin of proof
% 172.42/26.71  | 
% 172.42/26.71  | COMBINE_EQS: (1), (2) imply:
% 172.42/26.71  |   (4)  e1 = e0
% 172.42/26.71  | 
% 172.42/26.71  | SIMP: (4) implies:
% 172.42/26.71  |   (5)  e1 = e0
% 172.42/26.71  | 
% 172.42/26.71  | REDUCE: (3), (5) imply:
% 172.42/26.71  |   (6)  $false
% 172.42/26.71  | 
% 172.42/26.71  | CLOSE: (6) is inconsistent.
% 172.42/26.71  | 
% 172.42/26.71  End of proof
% 172.42/26.71  
% 172.42/26.71  Sub-proof #313 shows that the following formulas are inconsistent:
% 172.42/26.71  ----------------------------------------------------------------
% 172.42/26.71    (1)  op(e0, e0) = all_14_2
% 172.42/26.71    (2)  all_56_1 = all_52_4
% 172.42/26.71    (3)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 172.42/26.71    (4)  all_56_12 = all_52_3
% 172.42/26.71    (5)  op(e3, all_52_12) = all_58_3
% 172.42/26.71    (6)   ~ (all_52_8 = all_52_12)
% 172.42/26.71    (7)   ~ (e3 = e1)
% 172.42/26.71    (8)  all_58_23 = all_52_7
% 172.42/26.71    (9)   ~ (all_52_2 = all_6_2)
% 172.42/26.71    (10)   ~ (all_52_4 = all_4_2)
% 172.42/26.71    (11)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.42/26.71    (12)  all_54_3 = all_52_12
% 172.42/26.71    (13)  all_56_5 = all_52_9
% 172.42/26.71    (14)  all_58_10 = all_52_14
% 172.42/26.71    (15)   ~ (all_52_12 = all_6_2)
% 172.42/26.71    (16)  op(e2, e0) = all_52_13
% 172.42/26.71    (17)   ~ (all_14_2 = e1)
% 172.42/26.71    (18)  op(e1, e0) = all_52_14
% 172.42/26.71    (19)  all_56_15 = all_14_2
% 172.42/26.71    (20)  op(e3, all_52_4) = all_58_1
% 172.42/26.71    (21)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 172.42/26.71    (22)   ~ (all_52_9 = all_4_2)
% 172.42/26.71    (23)   ~ (all_52_3 = all_52_7)
% 172.42/26.71    (24)   ~ (all_52_7 = all_10_1)
% 172.42/26.71    (25)   ~ (all_52_13 = all_4_2)
% 172.42/26.71    (26)  op(e0, all_52_3) = all_58_12
% 172.42/26.71    (27)  op(e2, all_52_1) = all_58_4
% 172.42/26.71    (28)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.42/26.71    (29)   ~ (all_52_9 = e0)
% 172.42/26.71    (30)  all_58_31 = all_14_2
% 172.42/26.71    (31)   ~ (all_52_3 = all_6_2)
% 172.42/26.71    (32)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.42/26.71    (33)   ~ (all_52_1 = all_6_2)
% 172.42/26.71    (34)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 172.42/26.71    (35)  all_56_11 = all_52_14
% 172.42/26.71    (36)   ~ (all_52_6 = all_52_7)
% 172.42/26.71    (37)  all_56_0 = all_6_2
% 172.42/26.71    (38)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.42/26.71    (39)  all_58_30 = all_52_14
% 172.42/26.71    (40)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.42/26.71    (41)  all_58_17 = all_52_1
% 172.42/26.71    (42)  all_56_14 = all_10_1
% 172.42/26.71    (43)  all_58_19 = all_52_3
% 172.42/26.71    (44)  all_56_9 = all_52_12
% 172.42/26.71    (45)   ~ (e3 = e2)
% 172.42/26.71    (46)   ~ (all_52_4 = all_52_7)
% 172.42/26.71    (47)   ~ (e2 = e1)
% 172.42/26.71    (48)  all_58_26 = e0
% 172.42/26.71    (49)  all_56_8 = e0
% 172.42/26.71    (50)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.42/26.71    (51)   ~ (all_52_2 = e0)
% 172.42/26.71    (52)   ~ (all_52_7 = all_14_2)
% 172.42/26.71    (53)   ~ (all_52_13 = all_14_2)
% 172.42/26.71    (54)   ~ (all_52_1 = all_4_2)
% 172.42/26.71    (55)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.42/26.71    (56)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.42/26.71    (57)   ~ (all_52_13 = all_52_14)
% 172.42/26.71    (58)  all_58_18 = all_52_2
% 172.42/26.71    (59)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.42/26.71    (60)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.42/26.71    (61)  all_58_16 = all_6_2
% 172.42/26.71    (62)  all_56_13 = all_52_7
% 172.42/26.71    (63)  op(e0, all_52_7) = all_58_13
% 172.42/26.71    (64)  all_56_2 = all_52_1
% 172.42/26.71    (65)   ~ (all_52_8 = all_10_1)
% 172.42/26.71    (66)   ~ (e3 = e0)
% 172.42/26.71    (67)  op(e3, e0) = all_52_12
% 172.42/26.71    (68)  all_58_29 = all_52_13
% 172.42/26.71    (69)   ~ (all_4_2 = e0)
% 172.42/26.71    (70)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.42/26.71    (71)  op(all_10_1, e0) = all_10_0
% 172.42/26.71    (72)   ~ (all_6_2 = e0)
% 172.42/26.71    (73)   ~ (all_52_6 = all_52_14)
% 172.42/26.71    (74)   ~ (all_52_7 = all_4_2)
% 172.42/26.71    (75)  all_56_4 = all_52_8
% 172.42/26.71    (76)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.42/26.71    (77)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.42/26.71    (78)   ~ (all_52_9 = all_10_1)
% 172.42/26.71    (79)  all_58_20 = all_52_4
% 172.42/26.71    (80)  all_54_13 = all_52_7
% 172.42/26.71    (81)  all_54_15 = all_14_2
% 172.42/26.71    (82)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.42/26.71    (83)   ~ (all_14_2 = all_10_1)
% 172.42/26.71    (84)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.42/26.71    (85)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 172.42/26.71    (86)   ~ (all_52_8 = all_6_2)
% 172.42/26.71    (87)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 172.42/26.71    (88)  all_56_6 = all_52_2
% 172.42/26.71    (89)   ~ (all_52_1 = all_52_9)
% 172.42/26.71    (90)  all_58_24 = all_52_8
% 172.42/26.71    (91)   ~ (all_52_12 = all_52_14)
% 172.42/26.71    (92)  all_58_22 = all_52_6
% 172.42/26.71    (93)  all_56_3 = all_4_2
% 172.42/26.71    (94)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 172.42/26.71    (95)  all_58_27 = all_10_1
% 172.42/26.71    (96)   ~ (all_52_2 = all_52_3)
% 172.42/26.71    (97)   ~ (all_52_4 = all_52_8)
% 172.42/26.71    (98)   ~ (all_52_14 = all_14_2)
% 172.42/26.71    (99)  all_58_25 = all_52_9
% 172.42/26.71    (100)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.42/26.71             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.42/26.71    (101)   ~ (all_52_6 = e0)
% 172.42/26.71    (102)   ~ (all_52_2 = all_52_14)
% 172.42/26.71    (103)  all_58_21 = all_4_2
% 172.42/26.71    (104)  all_56_10 = all_52_13
% 172.42/26.71    (105)   ~ (e2 = e0)
% 172.42/26.71    (106)   ~ (all_52_1 = all_52_3)
% 172.42/26.71    (107)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 172.42/26.71    (108)   ~ (all_52_3 = all_10_1)
% 172.42/26.71    (109)  all_58_28 = all_52_12
% 172.42/26.71    (110)   ~ (e1 = e0)
% 172.42/26.71    (111)  all_56_7 = all_52_6
% 172.42/26.71    (112)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.42/26.71             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.42/26.71             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.42/26.71             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.42/26.71             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.42/26.71             (all_58_15 = e0))
% 172.42/26.71    (113)   ~ (all_52_8 = e0)
% 172.42/26.71    (114)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.42/26.71    (115)  op(e2, all_52_13) = all_58_7
% 172.42/26.71    (116)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 172.42/26.71    (117)   ~ (all_10_1 = e0)
% 172.42/26.71    (118)   ~ (all_52_12 = all_52_13)
% 172.42/26.71  
% 172.42/26.71  Begin of proof
% 172.42/26.71  | 
% 172.42/26.71  | BETA: splitting (60) gives:
% 172.42/26.71  | 
% 172.42/26.71  | Case 1:
% 172.42/26.71  | | 
% 172.42/26.71  | |   (119)  all_56_1 = e0
% 172.42/26.71  | | 
% 172.42/26.71  | | COMBINE_EQS: (2), (119) imply:
% 172.42/26.71  | |   (120)  all_52_4 = e0
% 172.42/26.71  | | 
% 172.42/26.71  | | COMBINE_EQS: (79), (120) imply:
% 172.42/26.71  | |   (121)  all_58_20 = e0
% 172.42/26.71  | | 
% 172.42/26.71  | | REDUCE: (46), (120) imply:
% 172.42/26.71  | |   (122)   ~ (all_52_7 = e0)
% 172.42/26.71  | | 
% 172.42/26.71  | | SIMP: (122) implies:
% 172.42/26.71  | |   (123)   ~ (all_52_7 = e0)
% 172.42/26.71  | | 
% 172.42/26.71  | | REDUCE: (97), (120) imply:
% 172.42/26.71  | |   (124)   ~ (all_52_8 = e0)
% 172.42/26.71  | | 
% 172.42/26.71  | | REDUCE: (10), (120) imply:
% 172.42/26.71  | |   (125)   ~ (all_4_2 = e0)
% 172.42/26.71  | | 
% 172.42/26.71  | | REDUCE: (20), (120) imply:
% 172.42/26.71  | |   (126)  op(e3, e0) = all_58_1
% 172.42/26.71  | | 
% 172.42/26.71  | | BETA: splitting (3) gives:
% 172.42/26.71  | | 
% 172.42/26.71  | | Case 1:
% 172.42/26.71  | | | 
% 172.42/26.71  | | |   (127)  all_56_12 = e0
% 172.42/26.71  | | | 
% 172.42/26.71  | | | COMBINE_EQS: (4), (127) imply:
% 172.42/26.71  | | |   (128)  all_52_3 = e0
% 172.42/26.71  | | | 
% 172.42/26.71  | | | SIMP: (128) implies:
% 172.42/26.71  | | |   (129)  all_52_3 = e0
% 172.42/26.71  | | | 
% 172.42/26.71  | | | REDUCE: (106), (129) imply:
% 172.42/26.71  | | |   (130)   ~ (all_52_1 = e0)
% 172.42/26.71  | | | 
% 172.42/26.71  | | | REDUCE: (108), (129) imply:
% 172.42/26.71  | | |   (131)   ~ (all_10_1 = e0)
% 172.42/26.71  | | | 
% 172.42/26.71  | | | REDUCE: (31), (129) imply:
% 172.42/26.71  | | |   (132)   ~ (all_6_2 = e0)
% 172.42/26.71  | | | 
% 172.42/26.71  | | | REDUCE: (26), (129) imply:
% 172.42/26.71  | | |   (133)  op(e0, e0) = all_58_12
% 172.42/26.71  | | | 
% 172.42/26.71  | | | BETA: splitting (76) gives:
% 172.42/26.71  | | | 
% 172.42/26.71  | | | Case 1:
% 172.42/26.71  | | | | 
% 172.42/26.71  | | | |   (134)  all_56_2 = e0
% 172.42/26.71  | | | | 
% 172.42/26.71  | | | | COMBINE_EQS: (64), (134) imply:
% 172.42/26.71  | | | |   (135)  all_52_1 = e0
% 172.42/26.71  | | | | 
% 172.42/26.71  | | | | REDUCE: (130), (135) imply:
% 172.42/26.71  | | | |   (136)  $false
% 172.42/26.71  | | | | 
% 172.42/26.71  | | | | CLOSE: (136) is inconsistent.
% 172.42/26.71  | | | | 
% 172.42/26.71  | | | Case 2:
% 172.42/26.71  | | | | 
% 172.42/26.71  | | | |   (137)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.42/26.71  | | | | 
% 172.42/26.71  | | | | REF_CLOSE: (1), (6), (7), (8), (9), (12), (13), (14), (15), (16), (17),
% 172.42/26.71  | | | |            (19), (21), (22), (25), (28), (29), (30), (32), (33), (34),
% 172.42/26.71  | | | |            (35), (36), (37), (38), (39), (40), (42), (44), (45), (47),
% 172.42/26.71  | | | |            (48), (49), (53), (54), (56), (57), (59), (62), (64), (65),
% 172.42/26.71  | | | |            (66), (67), (68), (69), (70), (72), (73), (74), (75), (77),
% 172.42/26.71  | | | |            (80), (81), (83), (84), (86), (88), (90), (91), (92), (93),
% 172.42/26.71  | | | |            (94), (95), (98), (99), (100), (103), (104), (105), (107),
% 172.42/26.71  | | | |            (109), (110), (111), (112), (113), (115), (117), (118),
% 172.42/26.71  | | | |            (121), (123), (126), (127), (133), (137) are inconsistent by
% 172.42/26.71  | | | |            sub-proof #318.
% 172.42/26.71  | | | | 
% 172.42/26.71  | | | End of split
% 172.42/26.71  | | | 
% 172.42/26.71  | | Case 2:
% 172.42/26.71  | | | 
% 172.42/26.71  | | |   (138)  all_56_13 = e0 | all_56_14 = e0
% 172.42/26.71  | | | 
% 172.42/26.71  | | | REF_CLOSE: (42), (62), (117), (123), (138) are inconsistent by sub-proof
% 172.42/26.71  | | |            #316.
% 172.42/26.71  | | | 
% 172.42/26.71  | | End of split
% 172.42/26.71  | | 
% 172.42/26.71  | Case 2:
% 172.42/26.71  | | 
% 172.42/26.71  | |   (139)   ~ (all_56_1 = e0)
% 172.42/26.72  | |   (140)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.42/26.72  | | 
% 172.42/26.72  | | REDUCE: (2), (139) imply:
% 172.42/26.72  | |   (141)   ~ (all_52_4 = e0)
% 172.42/26.72  | | 
% 172.42/26.72  | | BETA: splitting (87) gives:
% 172.42/26.72  | | 
% 172.42/26.72  | | Case 1:
% 172.42/26.72  | | | 
% 172.42/26.72  | | |   (142)  all_56_0 = e0
% 172.42/26.72  | | | 
% 172.42/26.72  | | | COMBINE_EQS: (37), (142) imply:
% 172.42/26.72  | | |   (143)  all_6_2 = e0
% 172.42/26.72  | | | 
% 172.42/26.72  | | | REDUCE: (72), (143) imply:
% 172.42/26.72  | | |   (144)  $false
% 172.42/26.72  | | | 
% 172.42/26.72  | | | CLOSE: (144) is inconsistent.
% 172.42/26.72  | | | 
% 172.42/26.72  | | Case 2:
% 172.42/26.72  | | | 
% 172.42/26.72  | | |   (145)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 172.42/26.72  | | | 
% 172.42/26.72  | | | BETA: splitting (145) gives:
% 172.42/26.72  | | | 
% 172.42/26.72  | | | Case 1:
% 172.42/26.72  | | | | 
% 172.42/26.72  | | | |   (146)  all_56_1 = e0
% 172.42/26.72  | | | | 
% 172.42/26.72  | | | | COMBINE_EQS: (2), (146) imply:
% 172.42/26.72  | | | |   (147)  all_52_4 = e0
% 172.42/26.72  | | | | 
% 172.42/26.72  | | | | REDUCE: (141), (147) imply:
% 172.42/26.72  | | | |   (148)  $false
% 172.42/26.72  | | | | 
% 172.42/26.72  | | | | CLOSE: (148) is inconsistent.
% 172.42/26.72  | | | | 
% 172.42/26.72  | | | Case 2:
% 172.42/26.72  | | | | 
% 172.42/26.72  | | | |   (149)  all_56_4 = e0 | all_56_9 = e0
% 172.42/26.72  | | | | 
% 172.42/26.72  | | | | BETA: splitting (149) gives:
% 172.42/26.72  | | | | 
% 172.42/26.72  | | | | Case 1:
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | |   (150)  all_56_4 = e0
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | | COMBINE_EQS: (75), (150) imply:
% 172.42/26.72  | | | | |   (151)  all_52_8 = e0
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | | REDUCE: (113), (151) imply:
% 172.42/26.72  | | | | |   (152)  $false
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | | CLOSE: (152) is inconsistent.
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | Case 2:
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | |   (153)  all_56_9 = e0
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | | COMBINE_EQS: (44), (153) imply:
% 172.42/26.72  | | | | |   (154)  all_52_12 = e0
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | | SIMP: (154) implies:
% 172.42/26.72  | | | | |   (155)  all_52_12 = e0
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | | COMBINE_EQS: (109), (155) imply:
% 172.42/26.72  | | | | |   (156)  all_58_28 = e0
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | | REDUCE: (15), (155) imply:
% 172.42/26.72  | | | | |   (157)   ~ (all_6_2 = e0)
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | | REDUCE: (5), (155) imply:
% 172.42/26.72  | | | | |   (158)  op(e3, e0) = all_58_3
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | | REDUCE: (67), (155) imply:
% 172.42/26.72  | | | | |   (159)  op(e3, e0) = e0
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | | BETA: splitting (140) gives:
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | | Case 1:
% 172.42/26.72  | | | | | | 
% 172.42/26.72  | | | | | |   (160)  all_56_3 = e0
% 172.42/26.72  | | | | | | 
% 172.42/26.72  | | | | | | COMBINE_EQS: (93), (160) imply:
% 172.42/26.72  | | | | | |   (161)  all_4_2 = e0
% 172.42/26.72  | | | | | | 
% 172.42/26.72  | | | | | | REDUCE: (69), (161) imply:
% 172.42/26.72  | | | | | |   (162)  $false
% 172.42/26.72  | | | | | | 
% 172.42/26.72  | | | | | | CLOSE: (162) is inconsistent.
% 172.42/26.72  | | | | | | 
% 172.42/26.72  | | | | | Case 2:
% 172.42/26.72  | | | | | | 
% 172.42/26.72  | | | | | |   (163)  all_56_7 = e0 | all_56_13 = e0
% 172.42/26.72  | | | | | | 
% 172.42/26.72  | | | | | | BETA: splitting (76) gives:
% 172.42/26.72  | | | | | | 
% 172.42/26.72  | | | | | | Case 1:
% 172.42/26.72  | | | | | | | 
% 172.42/26.72  | | | | | | |   (164)  all_56_2 = e0
% 172.42/26.72  | | | | | | | 
% 172.42/26.72  | | | | | | | COMBINE_EQS: (64), (164) imply:
% 172.42/26.72  | | | | | | |   (165)  all_52_1 = e0
% 172.42/26.72  | | | | | | | 
% 172.42/26.72  | | | | | | | COMBINE_EQS: (41), (165) imply:
% 172.42/26.72  | | | | | | |   (166)  all_58_17 = e0
% 172.42/26.72  | | | | | | | 
% 172.42/26.72  | | | | | | | REDUCE: (89), (165) imply:
% 172.42/26.72  | | | | | | |   (167)   ~ (all_52_9 = e0)
% 172.42/26.72  | | | | | | | 
% 172.42/26.72  | | | | | | | REDUCE: (27), (165) imply:
% 172.42/26.72  | | | | | | |   (168)  op(e2, e0) = all_58_4
% 172.42/26.72  | | | | | | | 
% 172.42/26.72  | | | | | | | BETA: splitting (163) gives:
% 172.42/26.72  | | | | | | | 
% 172.42/26.72  | | | | | | | Case 1:
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | |   (169)  all_56_7 = e0
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | | COMBINE_EQS: (111), (169) imply:
% 172.42/26.72  | | | | | | | |   (170)  all_52_6 = e0
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | | REDUCE: (101), (170) imply:
% 172.42/26.72  | | | | | | | |   (171)  $false
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | | CLOSE: (171) is inconsistent.
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | Case 2:
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | |   (172)  all_56_13 = e0
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | | COMBINE_EQS: (62), (172) imply:
% 172.42/26.72  | | | | | | | |   (173)  all_52_7 = e0
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | | SIMP: (173) implies:
% 172.42/26.72  | | | | | | | |   (174)  all_52_7 = e0
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | | REDUCE: (23), (174) imply:
% 172.42/26.72  | | | | | | | |   (175)   ~ (all_52_3 = e0)
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | | REDUCE: (52), (174) imply:
% 172.42/26.72  | | | | | | | |   (176)   ~ (all_14_2 = e0)
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | | SIMP: (176) implies:
% 172.42/26.72  | | | | | | | |   (177)   ~ (all_14_2 = e0)
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | | REDUCE: (24), (174) imply:
% 172.42/26.72  | | | | | | | |   (178)   ~ (all_10_1 = e0)
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | | REDUCE: (63), (174) imply:
% 172.42/26.72  | | | | | | | |   (179)  op(e0, e0) = all_58_13
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | | GROUND_INST: instantiating (100) with all_14_2, all_58_13, e0,
% 172.42/26.72  | | | | | | | |              e0, simplifying with (1), (179) gives:
% 172.42/26.72  | | | | | | | |   (180)  all_58_13 = all_14_2
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | | GROUND_INST: instantiating (100) with all_52_13, all_58_4, e0,
% 172.42/26.72  | | | | | | | |              e2, simplifying with (16), (168) gives:
% 172.42/26.72  | | | | | | | |   (181)  all_58_4 = all_52_13
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | | GROUND_INST: instantiating (100) with e0, all_58_3, e0, e3,
% 172.42/26.72  | | | | | | | |              simplifying with (158), (159) gives:
% 172.42/26.72  | | | | | | | |   (182)  all_58_3 = e0
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | | REF_CLOSE: (4), (7), (9), (11), (13), (14), (17), (18), (19),
% 172.42/26.72  | | | | | | | |            (28), (29), (30), (35), (37), (38), (39), (42), (43),
% 172.42/26.72  | | | | | | | |            (45), (47), (48), (49), (50), (53), (55), (56), (57),
% 172.42/26.72  | | | | | | | |            (58), (61), (66), (68), (71), (72), (75), (78), (83),
% 172.42/26.72  | | | | | | | |            (85), (86), (88), (90), (95), (96), (99), (100),
% 172.42/26.72  | | | | | | | |            (102), (104), (105), (108), (110), (112), (114),
% 172.42/26.72  | | | | | | | |            (116), (117), (153), (156), (164), (166), (172),
% 172.42/26.72  | | | | | | | |            (175), (177), (180), (181), (182) are inconsistent by
% 172.42/26.72  | | | | | | | |            sub-proof #315.
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | End of split
% 172.42/26.72  | | | | | | | 
% 172.42/26.72  | | | | | | Case 2:
% 172.42/26.72  | | | | | | | 
% 172.42/26.72  | | | | | | |   (183)   ~ (all_56_2 = e0)
% 172.42/26.72  | | | | | | | 
% 172.42/26.72  | | | | | | | REDUCE: (64), (183) imply:
% 172.42/26.72  | | | | | | |   (184)   ~ (all_52_1 = e0)
% 172.42/26.72  | | | | | | | 
% 172.42/26.72  | | | | | | | REF_CLOSE: (4), (23), (37), (51), (62), (64), (72), (82), (88),
% 172.42/26.72  | | | | | | |            (101), (111), (163), (184) are inconsistent by
% 172.42/26.72  | | | | | | |            sub-proof #314.
% 172.42/26.72  | | | | | | | 
% 172.42/26.72  | | | | | | End of split
% 172.42/26.72  | | | | | | 
% 172.42/26.72  | | | | | End of split
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | End of split
% 172.42/26.72  | | | | 
% 172.42/26.72  | | | End of split
% 172.42/26.72  | | | 
% 172.42/26.72  | | End of split
% 172.42/26.72  | | 
% 172.42/26.72  | End of split
% 172.42/26.72  | 
% 172.42/26.72  End of proof
% 172.42/26.72  
% 172.42/26.72  Sub-proof #314 shows that the following formulas are inconsistent:
% 172.42/26.72  ----------------------------------------------------------------
% 172.42/26.72    (1)  all_56_12 = all_52_3
% 172.42/26.72    (2)   ~ (all_52_3 = all_52_7)
% 172.42/26.72    (3)  all_56_0 = all_6_2
% 172.42/26.72    (4)  all_56_7 = e0 | all_56_13 = e0
% 172.42/26.72    (5)   ~ (all_52_2 = e0)
% 172.42/26.72    (6)  all_56_13 = all_52_7
% 172.42/26.72    (7)  all_56_2 = all_52_1
% 172.42/26.72    (8)   ~ (all_6_2 = e0)
% 172.42/26.72    (9)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.42/26.72    (10)  all_56_6 = all_52_2
% 172.42/26.72    (11)   ~ (all_52_1 = e0)
% 172.42/26.72    (12)   ~ (all_52_6 = e0)
% 172.42/26.72    (13)  all_56_7 = all_52_6
% 172.42/26.72  
% 172.42/26.72  Begin of proof
% 172.42/26.72  | 
% 172.42/26.72  | BETA: splitting (9) gives:
% 172.42/26.72  | 
% 172.42/26.72  | Case 1:
% 172.42/26.72  | | 
% 172.42/26.72  | |   (14)  all_56_0 = e0
% 172.42/26.72  | | 
% 172.42/26.72  | | COMBINE_EQS: (3), (14) imply:
% 172.42/26.72  | |   (15)  all_6_2 = e0
% 172.42/26.72  | | 
% 172.42/26.72  | | REDUCE: (8), (15) imply:
% 172.42/26.72  | |   (16)  $false
% 172.42/26.72  | | 
% 172.42/26.72  | | CLOSE: (16) is inconsistent.
% 172.42/26.72  | | 
% 172.42/26.72  | Case 2:
% 172.42/26.72  | | 
% 172.42/26.72  | |   (17)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.42/26.72  | | 
% 172.42/26.72  | | BETA: splitting (4) gives:
% 172.42/26.72  | | 
% 172.42/26.72  | | Case 1:
% 172.42/26.72  | | | 
% 172.42/26.72  | | |   (18)  all_56_7 = e0
% 172.42/26.72  | | | 
% 172.42/26.72  | | | COMBINE_EQS: (13), (18) imply:
% 172.42/26.72  | | |   (19)  all_52_6 = e0
% 172.42/26.72  | | | 
% 172.42/26.72  | | | REDUCE: (12), (19) imply:
% 172.42/26.72  | | |   (20)  $false
% 172.42/26.72  | | | 
% 172.42/26.72  | | | CLOSE: (20) is inconsistent.
% 172.42/26.72  | | | 
% 172.42/26.72  | | Case 2:
% 172.42/26.72  | | | 
% 172.42/26.72  | | |   (21)  all_56_13 = e0
% 172.42/26.72  | | | 
% 172.42/26.72  | | | COMBINE_EQS: (6), (21) imply:
% 172.42/26.72  | | |   (22)  all_52_7 = e0
% 172.42/26.72  | | | 
% 172.42/26.72  | | | SIMP: (22) implies:
% 172.42/26.72  | | |   (23)  all_52_7 = e0
% 172.42/26.72  | | | 
% 172.42/26.72  | | | REDUCE: (2), (23) imply:
% 172.42/26.72  | | |   (24)   ~ (all_52_3 = e0)
% 172.42/26.72  | | | 
% 172.42/26.72  | | | REF_CLOSE: (1), (5), (7), (10), (11), (17), (24) are inconsistent by
% 172.42/26.72  | | |            sub-proof #917.
% 172.42/26.72  | | | 
% 172.42/26.72  | | End of split
% 172.42/26.72  | | 
% 172.42/26.72  | End of split
% 172.42/26.72  | 
% 172.42/26.72  End of proof
% 172.42/26.72  
% 172.42/26.72  Sub-proof #315 shows that the following formulas are inconsistent:
% 172.42/26.72  ----------------------------------------------------------------
% 172.42/26.72    (1)  all_56_12 = all_52_3
% 172.42/26.72    (2)   ~ (e3 = e1)
% 172.42/26.72    (3)   ~ (all_52_2 = all_6_2)
% 172.42/26.72    (4)  all_58_3 = e0
% 172.42/26.72    (5)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.42/26.72    (6)  all_56_5 = all_52_9
% 172.42/26.72    (7)  all_58_10 = all_52_14
% 172.42/26.72    (8)   ~ (all_14_2 = e1)
% 172.42/26.72    (9)  op(e1, e0) = all_52_14
% 172.42/26.72    (10)  all_56_15 = all_14_2
% 172.42/26.72    (11)   ~ (all_14_2 = e0)
% 172.42/26.72    (12)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.42/26.72    (13)   ~ (all_52_9 = e0)
% 172.42/26.72    (14)  all_58_31 = all_14_2
% 172.42/26.72    (15)  all_56_9 = e0
% 172.42/26.72    (16)  all_56_11 = all_52_14
% 172.42/26.72    (17)  all_56_0 = all_6_2
% 172.42/26.72    (18)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.42/26.72    (19)  all_58_30 = all_52_14
% 172.42/26.72    (20)  all_58_4 = all_52_13
% 172.42/26.72    (21)  all_56_14 = all_10_1
% 172.42/26.72    (22)  all_58_19 = all_52_3
% 172.42/26.72    (23)  all_56_2 = e0
% 172.42/26.72    (24)   ~ (e3 = e2)
% 172.42/26.72    (25)   ~ (e2 = e1)
% 172.42/26.72    (26)  all_58_26 = e0
% 172.42/26.72    (27)  all_56_8 = e0
% 172.42/26.72    (28)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.42/26.72    (29)   ~ (all_52_13 = all_14_2)
% 172.42/26.72    (30)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.42/26.72    (31)  all_58_28 = e0
% 172.42/26.72    (32)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.42/26.72    (33)   ~ (all_52_13 = all_52_14)
% 172.42/26.72    (34)  all_58_18 = all_52_2
% 172.42/26.72    (35)  all_58_16 = all_6_2
% 172.42/26.72    (36)   ~ (e3 = e0)
% 172.42/26.72    (37)  all_58_29 = all_52_13
% 172.42/26.72    (38)  op(all_10_1, e0) = all_10_0
% 172.42/26.72    (39)   ~ (all_6_2 = e0)
% 172.42/26.72    (40)  all_56_4 = all_52_8
% 172.42/26.72    (41)   ~ (all_52_9 = all_10_1)
% 172.42/26.72    (42)  all_58_17 = e0
% 172.42/26.72    (43)   ~ (all_14_2 = all_10_1)
% 172.42/26.72    (44)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 172.42/26.72    (45)   ~ (all_52_8 = all_6_2)
% 172.42/26.72    (46)  all_56_6 = all_52_2
% 172.42/26.72    (47)  all_58_13 = all_14_2
% 172.42/26.72    (48)  all_56_13 = e0
% 172.42/26.72    (49)  all_58_24 = all_52_8
% 172.42/26.72    (50)  all_58_27 = all_10_1
% 172.42/26.72    (51)   ~ (all_52_2 = all_52_3)
% 172.42/26.72    (52)  all_58_25 = all_52_9
% 172.42/26.72    (53)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.42/26.72            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.42/26.72    (54)   ~ (all_52_2 = all_52_14)
% 172.42/26.72    (55)  all_56_10 = all_52_13
% 172.42/26.72    (56)   ~ (all_52_3 = e0)
% 172.42/26.72    (57)   ~ (e2 = e0)
% 172.42/26.72    (58)   ~ (all_52_3 = all_10_1)
% 172.42/26.72    (59)   ~ (e1 = e0)
% 172.42/26.72    (60)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.42/26.72            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.42/26.72            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.42/26.72            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.42/26.72            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.42/26.72            (all_58_15 = e0))
% 172.42/26.72    (61)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.42/26.72    (62)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 172.42/26.72    (63)   ~ (all_10_1 = e0)
% 172.42/26.72  
% 172.42/26.72  Begin of proof
% 172.42/26.72  | 
% 172.42/26.72  | BETA: splitting (32) gives:
% 172.42/26.72  | 
% 172.42/26.72  | Case 1:
% 172.42/26.72  | | 
% 172.42/26.72  | |   (64)  all_56_9 = e1
% 172.42/26.72  | | 
% 172.42/26.72  | | COMBINE_EQS: (15), (64) imply:
% 172.42/26.72  | |   (65)  e1 = e0
% 172.42/26.72  | | 
% 172.42/26.72  | | REDUCE: (59), (65) imply:
% 172.42/26.72  | |   (66)  $false
% 172.42/26.72  | | 
% 172.42/26.72  | | CLOSE: (66) is inconsistent.
% 172.42/26.72  | | 
% 172.42/26.72  | Case 2:
% 172.42/26.72  | | 
% 172.42/26.72  | |   (67)   ~ (all_56_9 = e1)
% 172.42/26.72  | |   (68)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.42/26.72  | | 
% 172.42/26.72  | | REDUCE: (15), (67) imply:
% 172.42/26.72  | |   (69)   ~ (e1 = e0)
% 172.42/26.72  | | 
% 172.42/26.72  | | BETA: splitting (61) gives:
% 172.42/26.72  | | 
% 172.42/26.72  | | Case 1:
% 172.42/26.72  | | | 
% 172.42/26.72  | | |   (70)  all_56_12 = e1
% 172.42/26.72  | | | 
% 172.42/26.72  | | | COMBINE_EQS: (1), (70) imply:
% 172.42/26.72  | | |   (71)  all_52_3 = e1
% 172.42/26.72  | | | 
% 172.42/26.72  | | | SIMP: (71) implies:
% 172.42/26.72  | | |   (72)  all_52_3 = e1
% 172.42/26.72  | | | 
% 172.42/26.72  | | | COMBINE_EQS: (22), (72) imply:
% 172.42/26.72  | | |   (73)  all_58_19 = e1
% 172.42/26.72  | | | 
% 172.42/26.72  | | | REDUCE: (51), (72) imply:
% 172.42/26.72  | | |   (74)   ~ (all_52_2 = e1)
% 172.42/26.72  | | | 
% 172.42/26.72  | | | REDUCE: (58), (72) imply:
% 172.42/26.72  | | |   (75)   ~ (all_10_1 = e1)
% 172.42/26.72  | | | 
% 172.42/26.72  | | | SIMP: (75) implies:
% 172.42/26.72  | | |   (76)   ~ (all_10_1 = e1)
% 172.42/26.72  | | | 
% 172.42/26.72  | | | BETA: splitting (5) gives:
% 172.42/26.72  | | | 
% 172.42/26.72  | | | Case 1:
% 172.42/26.72  | | | | 
% 172.42/26.72  | | | |   (77)  all_58_19 = e0
% 172.42/26.72  | | | | 
% 172.42/26.72  | | | | COMBINE_EQS: (73), (77) imply:
% 172.42/26.72  | | | |   (78)  e1 = e0
% 172.42/26.72  | | | | 
% 172.42/26.72  | | | | REDUCE: (59), (78) imply:
% 172.42/26.72  | | | |   (79)  $false
% 172.42/26.72  | | | | 
% 172.42/26.72  | | | | CLOSE: (79) is inconsistent.
% 172.42/26.72  | | | | 
% 172.42/26.72  | | | Case 2:
% 172.42/26.72  | | | | 
% 172.42/26.72  | | | |   (80)   ~ (all_58_19 = e0)
% 172.42/26.72  | | | |   (81)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.42/26.72  | | | | 
% 172.42/26.72  | | | | BETA: splitting (81) gives:
% 172.42/26.72  | | | | 
% 172.42/26.72  | | | | Case 1:
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | |   (82)  all_58_18 = e1
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | | COMBINE_EQS: (34), (82) imply:
% 172.42/26.72  | | | | |   (83)  all_52_2 = e1
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | | REDUCE: (74), (83) imply:
% 172.42/26.72  | | | | |   (84)  $false
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | | CLOSE: (84) is inconsistent.
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | Case 2:
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | |   (85)  all_58_16 = e3 | all_58_17 = e2
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | | BETA: splitting (85) gives:
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | | Case 1:
% 172.42/26.72  | | | | | | 
% 172.42/26.72  | | | | | |   (86)  all_58_17 = e2
% 172.42/26.72  | | | | | | 
% 172.42/26.72  | | | | | | REF_CLOSE: (42), (57), (86) are inconsistent by sub-proof #981.
% 172.42/26.72  | | | | | | 
% 172.42/26.72  | | | | | Case 2:
% 172.42/26.72  | | | | | | 
% 172.42/26.72  | | | | | |   (87)  all_58_16 = e3
% 172.42/26.72  | | | | | | 
% 172.42/26.72  | | | | | | COMBINE_EQS: (35), (87) imply:
% 172.42/26.72  | | | | | |   (88)  all_6_2 = e3
% 172.42/26.72  | | | | | | 
% 172.42/26.72  | | | | | | REDUCE: (45), (88) imply:
% 172.42/26.72  | | | | | |   (89)   ~ (all_52_8 = e3)
% 172.42/26.72  | | | | | | 
% 172.42/26.72  | | | | | | BETA: splitting (18) gives:
% 172.42/26.72  | | | | | | 
% 172.42/26.72  | | | | | | Case 1:
% 172.42/26.72  | | | | | | | 
% 172.42/26.72  | | | | | | |   (90)  all_58_27 = e0
% 172.42/26.72  | | | | | | | 
% 172.42/26.72  | | | | | | | COMBINE_EQS: (50), (90) imply:
% 172.42/26.72  | | | | | | |   (91)  all_10_1 = e0
% 172.42/26.72  | | | | | | | 
% 172.42/26.72  | | | | | | | REDUCE: (63), (91) imply:
% 172.42/26.72  | | | | | | |   (92)  $false
% 172.42/26.72  | | | | | | | 
% 172.42/26.72  | | | | | | | CLOSE: (92) is inconsistent.
% 172.42/26.72  | | | | | | | 
% 172.42/26.72  | | | | | | Case 2:
% 172.42/26.72  | | | | | | | 
% 172.42/26.72  | | | | | | |   (93)   ~ (all_58_27 = e0)
% 172.42/26.72  | | | | | | |   (94)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.42/26.72  | | | | | | | 
% 172.42/26.72  | | | | | | | BETA: splitting (94) gives:
% 172.42/26.72  | | | | | | | 
% 172.42/26.72  | | | | | | | Case 1:
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | |   (95)  all_58_26 = e1
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | | COMBINE_EQS: (26), (95) imply:
% 172.42/26.72  | | | | | | | |   (96)  e1 = e0
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | | REDUCE: (59), (96) imply:
% 172.42/26.72  | | | | | | | |   (97)  $false
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | | CLOSE: (97) is inconsistent.
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | Case 2:
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | |   (98)  all_58_24 = e3 | all_58_25 = e2
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | | BETA: splitting (98) gives:
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | | Case 1:
% 172.42/26.72  | | | | | | | | | 
% 172.42/26.72  | | | | | | | | |   (99)  all_58_25 = e2
% 172.42/26.72  | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | COMBINE_EQS: (52), (99) imply:
% 172.42/26.72  | | | | | | | | |   (100)  all_52_9 = e2
% 172.42/26.72  | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | COMBINE_EQS: (6), (100) imply:
% 172.42/26.72  | | | | | | | | |   (101)  all_56_5 = e2
% 172.42/26.72  | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | REDUCE: (41), (100) imply:
% 172.42/26.72  | | | | | | | | |   (102)   ~ (all_10_1 = e2)
% 172.42/26.72  | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | SIMP: (102) implies:
% 172.42/26.72  | | | | | | | | |   (103)   ~ (all_10_1 = e2)
% 172.42/26.72  | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | BETA: splitting (44) gives:
% 172.42/26.72  | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | Case 1:
% 172.42/26.72  | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | |   (104)  all_56_4 = e3
% 172.42/26.72  | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | COMBINE_EQS: (40), (104) imply:
% 172.42/26.72  | | | | | | | | | |   (105)  all_52_8 = e3
% 172.42/26.72  | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | REDUCE: (89), (105) imply:
% 172.42/26.72  | | | | | | | | | |   (106)  $false
% 172.42/26.72  | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | CLOSE: (106) is inconsistent.
% 172.42/26.72  | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | Case 2:
% 172.42/26.72  | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | |   (107)  all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 172.42/26.72  | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | BETA: splitting (62) gives:
% 172.42/26.72  | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | Case 1:
% 172.42/26.72  | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | |   (108)  all_56_12 = e2
% 172.42/26.72  | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | COMBINE_EQS: (70), (108) imply:
% 172.42/26.72  | | | | | | | | | | |   (109)  e2 = e1
% 172.42/26.72  | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | REDUCE: (25), (109) imply:
% 172.42/26.72  | | | | | | | | | | |   (110)  $false
% 172.42/26.72  | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | CLOSE: (110) is inconsistent.
% 172.42/26.72  | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | Case 2:
% 172.42/26.72  | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | |   (111)  all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 172.42/26.72  | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | BETA: splitting (111) gives:
% 172.42/26.72  | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | Case 1:
% 172.42/26.72  | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | |   (112)  all_56_13 = e2
% 172.42/26.72  | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | COMBINE_EQS: (48), (112) imply:
% 172.42/26.72  | | | | | | | | | | | |   (113)  e2 = e0
% 172.42/26.72  | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | REDUCE: (57), (113) imply:
% 172.42/26.72  | | | | | | | | | | | |   (114)  $false
% 172.42/26.72  | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | CLOSE: (114) is inconsistent.
% 172.42/26.72  | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | Case 2:
% 172.42/26.72  | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | |   (115)  all_56_14 = e2 | all_56_15 = e2
% 172.42/26.72  | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | BETA: splitting (107) gives:
% 172.42/26.72  | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | Case 1:
% 172.42/26.72  | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | |   (116)  all_56_5 = e3
% 172.42/26.72  | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | REF_CLOSE: (24), (101), (116) are inconsistent by sub-proof
% 172.42/26.72  | | | | | | | | | | | | |            #356.
% 172.42/26.72  | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | Case 2:
% 172.42/26.72  | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | |   (117)  all_56_8 = e3 | all_56_14 = e3
% 172.42/26.72  | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | BETA: splitting (117) gives:
% 172.42/26.72  | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | Case 1:
% 172.42/26.72  | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | |   (118)  all_56_8 = e3
% 172.42/26.72  | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | REF_CLOSE: (27), (36), (118) are inconsistent by sub-proof
% 172.42/26.72  | | | | | | | | | | | | | |            #543.
% 172.42/26.72  | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | Case 2:
% 172.42/26.72  | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | |   (119)  all_56_14 = e3
% 172.42/26.72  | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | COMBINE_EQS: (21), (119) imply:
% 172.42/26.72  | | | | | | | | | | | | | |   (120)  all_10_1 = e3
% 172.42/26.72  | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | SIMP: (120) implies:
% 172.42/26.72  | | | | | | | | | | | | | |   (121)  all_10_1 = e3
% 172.42/26.72  | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | REDUCE: (43), (121) imply:
% 172.42/26.72  | | | | | | | | | | | | | |   (122)   ~ (all_14_2 = e3)
% 172.42/26.72  | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | BETA: splitting (115) gives:
% 172.42/26.72  | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | Case 1:
% 172.42/26.72  | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | |   (123)  all_56_14 = e2
% 172.42/26.72  | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | COMBINE_EQS: (119), (123) imply:
% 172.42/26.72  | | | | | | | | | | | | | | |   (124)  e3 = e2
% 172.42/26.72  | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | SIMP: (124) implies:
% 172.42/26.72  | | | | | | | | | | | | | | |   (125)  e3 = e2
% 172.42/26.72  | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | REDUCE: (24), (125) imply:
% 172.42/26.72  | | | | | | | | | | | | | | |   (126)  $false
% 172.42/26.72  | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | CLOSE: (126) is inconsistent.
% 172.42/26.72  | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | Case 2:
% 172.42/26.72  | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | |   (127)  all_56_15 = e2
% 172.42/26.72  | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | COMBINE_EQS: (10), (127) imply:
% 172.42/26.72  | | | | | | | | | | | | | | |   (128)  all_14_2 = e2
% 172.42/26.72  | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | SIMP: (128) implies:
% 172.42/26.72  | | | | | | | | | | | | | | |   (129)  all_14_2 = e2
% 172.42/26.72  | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | COMBINE_EQS: (14), (129) imply:
% 172.42/26.72  | | | | | | | | | | | | | | |   (130)  all_58_31 = e2
% 172.42/26.72  | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | COMBINE_EQS: (47), (129) imply:
% 172.42/26.72  | | | | | | | | | | | | | | |   (131)  all_58_13 = e2
% 172.42/26.72  | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | REDUCE: (29), (129) imply:
% 172.42/26.72  | | | | | | | | | | | | | | |   (132)   ~ (all_52_13 = e2)
% 172.42/26.72  | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | REDUCE: (122), (129) imply:
% 172.42/26.72  | | | | | | | | | | | | | | |   (133)   ~ (e3 = e2)
% 172.42/26.72  | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 172.42/26.72  | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | Case 1:
% 172.42/26.72  | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | |   (134)  all_58_31 = e0
% 172.42/26.72  | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | COMBINE_EQS: (130), (134) imply:
% 172.42/26.72  | | | | | | | | | | | | | | | |   (135)  e2 = e0
% 172.42/26.72  | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | REDUCE: (57), (135) imply:
% 172.42/26.72  | | | | | | | | | | | | | | | |   (136)  $false
% 172.42/26.72  | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | CLOSE: (136) is inconsistent.
% 172.42/26.72  | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | Case 2:
% 172.42/26.72  | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | |   (137)   ~ (all_58_31 = e0)
% 172.42/26.72  | | | | | | | | | | | | | | | |   (138)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.42/26.72  | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | BETA: splitting (138) gives:
% 172.42/26.72  | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | Case 1:
% 172.42/26.72  | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | |   (139)  all_58_30 = e1
% 172.42/26.72  | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | COMBINE_EQS: (19), (139) imply:
% 172.42/26.72  | | | | | | | | | | | | | | | | |   (140)  all_52_14 = e1
% 172.42/26.72  | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | COMBINE_EQS: (16), (140) imply:
% 172.42/26.72  | | | | | | | | | | | | | | | | |   (141)  all_56_11 = e1
% 172.42/26.72  | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | COMBINE_EQS: (7), (140) imply:
% 172.42/26.72  | | | | | | | | | | | | | | | | |   (142)  all_58_10 = e1
% 172.42/26.72  | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | BETA: splitting (28) gives:
% 172.42/26.72  | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | Case 1:
% 172.42/26.72  | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | |   (143)  all_56_9 = e3
% 172.42/26.72  | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15), (143) imply:
% 172.42/26.72  | | | | | | | | | | | | | | | | | |   (144)  e3 = e0
% 172.42/26.72  | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | REDUCE: (36), (144) imply:
% 172.42/26.72  | | | | | | | | | | | | | | | | | |   (145)  $false
% 172.42/26.72  | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | CLOSE: (145) is inconsistent.
% 172.42/26.72  | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | Case 2:
% 172.42/26.72  | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | |   (146)  all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.42/26.72  | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | BETA: splitting (146) gives:
% 172.42/26.72  | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | Case 1:
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | |   (147)  all_56_10 = e3
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (55), (147) imply:
% 172.42/26.72  | | | | | | | | | | | | | | | | | | |   (148)  all_52_13 = e3
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | SIMP: (148) implies:
% 172.42/26.72  | | | | | | | | | | | | | | | | | | |   (149)  all_52_13 = e3
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20), (149) imply:
% 172.42/26.72  | | | | | | | | | | | | | | | | | | |   (150)  all_58_4 = e3
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | BETA: splitting (60) gives:
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | |   (151)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | |            (all_58_2 = e1) &  ~ (all_58_3 = e0)) | ( ~
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | |            (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | |            (all_58_6 = e1) &  ~ (all_58_7 = e0))
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (150), (151) are inconsistent by sub-proof
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | |            #355.
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | |   (152)  ( ~ (all_58_8 = e3) &  ~ (all_58_9 = e2) &  ~
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | |            (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | |            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | |            (all_58_14 = e1) &  ~ (all_58_15 = e0))
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | BETA: splitting (152) gives:
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | |   (153)   ~ (all_58_8 = e3) &  ~ (all_58_9 = e2) &  ~
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | |          (all_58_10 = e1) &  ~ (all_58_11 = e0)
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | | ALPHA: (153) implies:
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | |   (154)   ~ (all_58_10 = e1)
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (154) imply:
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | |   (155)  $false
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | | CLOSE: (155) is inconsistent.
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | |   (156)   ~ (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | |          (all_58_14 = e1) &  ~ (all_58_15 = e0)
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | | ALPHA: (156) implies:
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | |   (157)   ~ (all_58_13 = e2)
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (157) imply:
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | |   (158)  $false
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | | CLOSE: (158) is inconsistent.
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | End of split
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | End of split
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | Case 2:
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | |   (159)  all_56_11 = e3 | all_56_15 = e3
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | |   (160)  all_56_11 = e3
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (42), (57), (85), (87), (141), (160) are
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #404.
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | |   (161)  all_56_15 = e3
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (127), (161) imply:
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | |   (162)  e3 = e2
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (162) imply:
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | |   (163)  $false
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | CLOSE: (163) is inconsistent.
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | End of split
% 172.42/26.72  | | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | | End of split
% 172.42/26.72  | | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | End of split
% 172.42/26.72  | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | Case 2:
% 172.42/26.72  | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | |   (164)  all_58_28 = e3 | all_58_29 = e2
% 172.42/26.72  | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (36), (37), (132), (164) are inconsistent by
% 172.42/26.72  | | | | | | | | | | | | | | | | |            sub-proof #844.
% 172.42/26.72  | | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | | End of split
% 172.42/26.72  | | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | | End of split
% 172.42/26.72  | | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | | End of split
% 172.42/26.72  | | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | | End of split
% 172.42/26.72  | | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | End of split
% 172.42/26.72  | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | End of split
% 172.42/26.72  | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | End of split
% 172.42/26.72  | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | End of split
% 172.42/26.72  | | | | | | | | | 
% 172.42/26.72  | | | | | | | | Case 2:
% 172.42/26.72  | | | | | | | | | 
% 172.42/26.72  | | | | | | | | |   (165)  all_58_24 = e3
% 172.42/26.72  | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | COMBINE_EQS: (49), (165) imply:
% 172.42/26.72  | | | | | | | | |   (166)  all_52_8 = e3
% 172.42/26.72  | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | REDUCE: (89), (166) imply:
% 172.42/26.72  | | | | | | | | |   (167)  $false
% 172.42/26.72  | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | CLOSE: (167) is inconsistent.
% 172.42/26.72  | | | | | | | | | 
% 172.42/26.72  | | | | | | | | End of split
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | End of split
% 172.42/26.72  | | | | | | | 
% 172.42/26.72  | | | | | | End of split
% 172.42/26.72  | | | | | | 
% 172.42/26.72  | | | | | End of split
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | End of split
% 172.42/26.72  | | | | 
% 172.42/26.72  | | | End of split
% 172.42/26.72  | | | 
% 172.42/26.72  | | Case 2:
% 172.42/26.72  | | | 
% 172.42/26.72  | | |   (168)  all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.42/26.72  | | | 
% 172.42/26.72  | | | BETA: splitting (168) gives:
% 172.42/26.72  | | | 
% 172.42/26.72  | | | Case 1:
% 172.42/26.72  | | | | 
% 172.42/26.72  | | | |   (169)  all_56_13 = e1
% 172.42/26.72  | | | | 
% 172.42/26.72  | | | | COMBINE_EQS: (48), (169) imply:
% 172.42/26.72  | | | |   (170)  e1 = e0
% 172.42/26.72  | | | | 
% 172.42/26.72  | | | | REDUCE: (59), (170) imply:
% 172.42/26.72  | | | |   (171)  $false
% 172.42/26.72  | | | | 
% 172.42/26.72  | | | | CLOSE: (171) is inconsistent.
% 172.42/26.72  | | | | 
% 172.42/26.72  | | | Case 2:
% 172.42/26.72  | | | | 
% 172.42/26.72  | | | |   (172)  all_56_14 = e1 | all_56_15 = e1
% 172.42/26.72  | | | | 
% 172.42/26.72  | | | | BETA: splitting (172) gives:
% 172.42/26.72  | | | | 
% 172.42/26.72  | | | | Case 1:
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | |   (173)  all_56_14 = e1
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | | COMBINE_EQS: (21), (173) imply:
% 172.42/26.72  | | | | |   (174)  all_10_1 = e1
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | | SIMP: (174) implies:
% 172.42/26.72  | | | | |   (175)  all_10_1 = e1
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | | REDUCE: (58), (175) imply:
% 172.42/26.72  | | | | |   (176)   ~ (all_52_3 = e1)
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | | REDUCE: (38), (175) imply:
% 172.42/26.72  | | | | |   (177)  op(e1, e0) = all_10_0
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | | GROUND_INST: instantiating (53) with all_52_14, all_10_0, e0, e1,
% 172.42/26.72  | | | | |              simplifying with (9), (177) gives:
% 172.42/26.72  | | | | |   (178)  all_52_14 = all_10_0
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | | COMBINE_EQS: (16), (178) imply:
% 172.42/26.72  | | | | |   (179)  all_56_11 = all_10_0
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | | COMBINE_EQS: (19), (178) imply:
% 172.42/26.72  | | | | |   (180)  all_58_30 = all_10_0
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | | REDUCE: (54), (178) imply:
% 172.42/26.72  | | | | |   (181)   ~ (all_52_2 = all_10_0)
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | | REDUCE: (33), (178) imply:
% 172.42/26.72  | | | | |   (182)   ~ (all_52_13 = all_10_0)
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | | BETA: splitting (30) gives:
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | | Case 1:
% 172.42/26.72  | | | | | | 
% 172.42/26.72  | | | | | |   (183)  all_56_0 = e1
% 172.42/26.72  | | | | | | 
% 172.42/26.72  | | | | | | COMBINE_EQS: (17), (183) imply:
% 172.42/26.72  | | | | | |   (184)  all_6_2 = e1
% 172.42/26.72  | | | | | | 
% 172.42/26.72  | | | | | | COMBINE_EQS: (35), (184) imply:
% 172.42/26.72  | | | | | |   (185)  all_58_16 = e1
% 172.42/26.72  | | | | | | 
% 172.42/26.72  | | | | | | REDUCE: (3), (184) imply:
% 172.42/26.72  | | | | | |   (186)   ~ (all_52_2 = e1)
% 172.42/26.72  | | | | | | 
% 172.42/26.72  | | | | | | REF_CLOSE: (2), (5), (22), (34), (42), (56), (57), (185), (186) are
% 172.42/26.72  | | | | | |            inconsistent by sub-proof #937.
% 172.42/26.72  | | | | | | 
% 172.42/26.72  | | | | | Case 2:
% 172.42/26.72  | | | | | | 
% 172.42/26.72  | | | | | |   (187)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.42/26.72  | | | | | | 
% 172.42/26.72  | | | | | | BETA: splitting (187) gives:
% 172.42/26.72  | | | | | | 
% 172.42/26.72  | | | | | | Case 1:
% 172.42/26.72  | | | | | | | 
% 172.42/26.72  | | | | | | |   (188)  all_56_2 = e1
% 172.42/26.72  | | | | | | | 
% 172.42/26.72  | | | | | | | REF_CLOSE: (23), (59), (188) are inconsistent by sub-proof #935.
% 172.42/26.72  | | | | | | | 
% 172.42/26.72  | | | | | | Case 2:
% 172.42/26.72  | | | | | | | 
% 172.42/26.72  | | | | | | |   (189)  all_56_6 = e1 | all_56_12 = e1
% 172.42/26.72  | | | | | | | 
% 172.42/26.72  | | | | | | | BETA: splitting (189) gives:
% 172.42/26.72  | | | | | | | 
% 172.42/26.72  | | | | | | | Case 1:
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | |   (190)  all_56_6 = e1
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | | COMBINE_EQS: (46), (190) imply:
% 172.42/26.72  | | | | | | | |   (191)  all_52_2 = e1
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | | SIMP: (191) implies:
% 172.42/26.72  | | | | | | | |   (192)  all_52_2 = e1
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | | REDUCE: (181), (192) imply:
% 172.42/26.72  | | | | | | | |   (193)   ~ (all_10_0 = e1)
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | | SIMP: (193) implies:
% 172.42/26.72  | | | | | | | |   (194)   ~ (all_10_0 = e1)
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | | BETA: splitting (68) gives:
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | | Case 1:
% 172.42/26.72  | | | | | | | | | 
% 172.42/26.72  | | | | | | | | |   (195)  all_56_10 = e1
% 172.42/26.72  | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | COMBINE_EQS: (55), (195) imply:
% 172.42/26.72  | | | | | | | | |   (196)  all_52_13 = e1
% 172.42/26.72  | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | SIMP: (196) implies:
% 172.42/26.72  | | | | | | | | |   (197)  all_52_13 = e1
% 172.42/26.72  | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | COMBINE_EQS: (37), (197) imply:
% 172.42/26.72  | | | | | | | | |   (198)  all_58_29 = e1
% 172.42/26.72  | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | BETA: splitting (12) gives:
% 172.42/26.72  | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | Case 1:
% 172.42/26.72  | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | |   (199)  all_58_31 = e0
% 172.42/26.72  | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | COMBINE_EQS: (14), (199) imply:
% 172.42/26.72  | | | | | | | | | |   (200)  all_14_2 = e0
% 172.42/26.72  | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | REDUCE: (11), (200) imply:
% 172.42/26.72  | | | | | | | | | |   (201)  $false
% 172.42/26.72  | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | CLOSE: (201) is inconsistent.
% 172.42/26.72  | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | Case 2:
% 172.42/26.72  | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | |   (202)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.42/26.72  | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | BETA: splitting (202) gives:
% 172.42/26.72  | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | Case 1:
% 172.42/26.72  | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | |   (203)  all_58_30 = e1
% 172.42/26.72  | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | COMBINE_EQS: (180), (203) imply:
% 172.42/26.72  | | | | | | | | | | |   (204)  all_10_0 = e1
% 172.42/26.72  | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | REDUCE: (194), (204) imply:
% 172.42/26.72  | | | | | | | | | | |   (205)  $false
% 172.42/26.72  | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | CLOSE: (205) is inconsistent.
% 172.42/26.72  | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | Case 2:
% 172.42/26.72  | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | |   (206)  all_58_28 = e3 | all_58_29 = e2
% 172.42/26.72  | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | BETA: splitting (206) gives:
% 172.42/26.72  | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | Case 1:
% 172.42/26.72  | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | |   (207)  all_58_29 = e2
% 172.42/26.72  | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | REF_CLOSE: (25), (198), (207) are inconsistent by sub-proof
% 172.42/26.72  | | | | | | | | | | | |            #858.
% 172.42/26.72  | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | Case 2:
% 172.42/26.72  | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | |   (208)  all_58_28 = e3
% 172.42/26.72  | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | | REF_CLOSE: (31), (36), (208) are inconsistent by sub-proof
% 172.42/26.72  | | | | | | | | | | | |            #857.
% 172.42/26.72  | | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | | End of split
% 172.42/26.72  | | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | End of split
% 172.42/26.72  | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | End of split
% 172.42/26.72  | | | | | | | | | 
% 172.42/26.72  | | | | | | | | Case 2:
% 172.42/26.72  | | | | | | | | | 
% 172.42/26.72  | | | | | | | | |   (209)  all_56_11 = e1 | all_56_15 = e1
% 172.42/26.72  | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | BETA: splitting (209) gives:
% 172.42/26.72  | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | Case 1:
% 172.42/26.72  | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | |   (210)  all_56_11 = e1
% 172.42/26.72  | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | COMBINE_EQS: (179), (210) imply:
% 172.42/26.72  | | | | | | | | | |   (211)  all_10_0 = e1
% 172.42/26.72  | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | SIMP: (211) implies:
% 172.42/26.72  | | | | | | | | | |   (212)  all_10_0 = e1
% 172.42/26.72  | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | REDUCE: (194), (212) imply:
% 172.42/26.72  | | | | | | | | | |   (213)  $false
% 172.42/26.72  | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | CLOSE: (213) is inconsistent.
% 172.42/26.72  | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | Case 2:
% 172.42/26.72  | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | |   (214)  all_56_15 = e1
% 172.42/26.72  | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | | REF_CLOSE: (8), (10), (214) are inconsistent by sub-proof
% 172.42/26.72  | | | | | | | | | |            #876.
% 172.42/26.72  | | | | | | | | | | 
% 172.42/26.72  | | | | | | | | | End of split
% 172.42/26.72  | | | | | | | | | 
% 172.42/26.72  | | | | | | | | End of split
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | Case 2:
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | |   (215)  all_56_12 = e1
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | | REF_CLOSE: (1), (176), (215) are inconsistent by sub-proof #934.
% 172.42/26.72  | | | | | | | | 
% 172.42/26.72  | | | | | | | End of split
% 172.42/26.72  | | | | | | | 
% 172.42/26.72  | | | | | | End of split
% 172.42/26.72  | | | | | | 
% 172.42/26.72  | | | | | End of split
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | Case 2:
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | |   (216)  all_56_15 = e1
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | | REF_CLOSE: (8), (10), (216) are inconsistent by sub-proof #876.
% 172.42/26.72  | | | | | 
% 172.42/26.72  | | | | End of split
% 172.42/26.72  | | | | 
% 172.42/26.72  | | | End of split
% 172.42/26.72  | | | 
% 172.42/26.72  | | End of split
% 172.42/26.72  | | 
% 172.42/26.72  | End of split
% 172.42/26.72  | 
% 172.42/26.72  End of proof
% 172.42/26.72  
% 172.42/26.72  Sub-proof #316 shows that the following formulas are inconsistent:
% 172.42/26.72  ----------------------------------------------------------------
% 172.42/26.72    (1)  all_56_13 = e0 | all_56_14 = e0
% 172.42/26.72    (2)  all_56_14 = all_10_1
% 172.42/26.72    (3)  all_56_13 = all_52_7
% 172.42/26.72    (4)   ~ (all_52_7 = e0)
% 172.42/26.72    (5)   ~ (all_10_1 = e0)
% 172.42/26.72  
% 172.42/26.72  Begin of proof
% 172.42/26.72  | 
% 172.42/26.73  | BETA: splitting (1) gives:
% 172.42/26.73  | 
% 172.42/26.73  | Case 1:
% 172.42/26.73  | | 
% 172.42/26.73  | |   (6)  all_56_13 = e0
% 172.42/26.73  | | 
% 172.42/26.73  | | REF_CLOSE: (3), (4), (6) are inconsistent by sub-proof #942.
% 172.42/26.73  | | 
% 172.42/26.73  | Case 2:
% 172.42/26.73  | | 
% 172.42/26.73  | |   (7)  all_56_14 = e0
% 172.42/26.73  | | 
% 172.42/26.73  | | REF_CLOSE: (2), (5), (7) are inconsistent by sub-proof #317.
% 172.42/26.73  | | 
% 172.42/26.73  | End of split
% 172.42/26.73  | 
% 172.42/26.73  End of proof
% 172.42/26.73  
% 172.42/26.73  Sub-proof #317 shows that the following formulas are inconsistent:
% 172.42/26.73  ----------------------------------------------------------------
% 172.42/26.73    (1)  all_56_14 = all_10_1
% 172.42/26.73    (2)  all_56_14 = e0
% 172.42/26.73    (3)   ~ (all_10_1 = e0)
% 172.42/26.73  
% 172.42/26.73  Begin of proof
% 172.42/26.73  | 
% 172.42/26.73  | COMBINE_EQS: (1), (2) imply:
% 172.42/26.73  |   (4)  all_10_1 = e0
% 172.42/26.73  | 
% 172.42/26.73  | SIMP: (4) implies:
% 172.42/26.73  |   (5)  all_10_1 = e0
% 172.42/26.73  | 
% 172.42/26.73  | REDUCE: (3), (5) imply:
% 172.42/26.73  |   (6)  $false
% 172.42/26.73  | 
% 172.42/26.73  | CLOSE: (6) is inconsistent.
% 172.42/26.73  | 
% 172.42/26.73  End of proof
% 172.42/26.73  
% 172.42/26.73  Sub-proof #318 shows that the following formulas are inconsistent:
% 172.42/26.73  ----------------------------------------------------------------
% 172.42/26.73    (1)  op(e0, e0) = all_14_2
% 172.42/26.73    (2)   ~ (all_52_8 = all_52_12)
% 172.42/26.73    (3)   ~ (e3 = e1)
% 172.42/26.73    (4)  all_58_23 = all_52_7
% 172.42/26.73    (5)   ~ (all_52_2 = all_6_2)
% 172.42/26.73    (6)  all_54_3 = all_52_12
% 172.42/26.73    (7)  all_56_5 = all_52_9
% 172.42/26.73    (8)  all_58_10 = all_52_14
% 172.42/26.73    (9)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.42/26.73    (10)   ~ (all_52_12 = all_6_2)
% 172.42/26.73    (11)  op(e2, e0) = all_52_13
% 172.42/26.73    (12)   ~ (all_14_2 = e1)
% 172.42/26.73    (13)  all_56_15 = all_14_2
% 172.42/26.73    (14)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 172.42/26.73    (15)   ~ (all_52_9 = all_4_2)
% 172.42/26.73    (16)   ~ (all_52_13 = all_4_2)
% 172.42/26.73    (17)  all_56_12 = e0
% 172.42/26.73    (18)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.42/26.73    (19)  op(e0, e0) = all_58_12
% 172.42/26.73    (20)   ~ (all_52_9 = e0)
% 172.42/26.73    (21)  all_58_31 = all_14_2
% 172.42/26.73    (22)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.42/26.73    (23)   ~ (all_52_1 = all_6_2)
% 172.42/26.73    (24)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 172.42/26.73    (25)  all_56_11 = all_52_14
% 172.42/26.73    (26)   ~ (all_52_6 = all_52_7)
% 172.42/26.73    (27)  all_56_0 = all_6_2
% 172.42/26.73    (28)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.42/26.73    (29)  all_58_30 = all_52_14
% 172.42/26.73    (30)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.42/26.73    (31)  all_58_20 = e0
% 172.42/26.73    (32)  all_56_14 = all_10_1
% 172.42/26.73    (33)  all_56_9 = all_52_12
% 172.42/26.73    (34)   ~ (e3 = e2)
% 172.42/26.73    (35)   ~ (e2 = e1)
% 172.42/26.73    (36)  all_58_26 = e0
% 172.42/26.73    (37)  all_56_8 = e0
% 172.42/26.73    (38)   ~ (all_52_13 = all_14_2)
% 172.42/26.73    (39)   ~ (all_52_1 = all_4_2)
% 172.42/26.73    (40)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.42/26.73    (41)   ~ (all_52_13 = all_52_14)
% 172.42/26.73    (42)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.42/26.73    (43)  all_56_13 = all_52_7
% 172.42/26.73    (44)  all_56_2 = all_52_1
% 172.42/26.73    (45)   ~ (all_52_8 = all_10_1)
% 172.42/26.73    (46)   ~ (e3 = e0)
% 172.42/26.73    (47)  op(e3, e0) = all_52_12
% 172.42/26.73    (48)  all_58_29 = all_52_13
% 172.42/26.73    (49)   ~ (all_4_2 = e0)
% 172.42/26.73    (50)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.42/26.73    (51)   ~ (all_6_2 = e0)
% 172.42/26.73    (52)   ~ (all_52_6 = all_52_14)
% 172.42/26.73    (53)   ~ (all_52_7 = all_4_2)
% 172.42/26.73    (54)  all_56_4 = all_52_8
% 172.42/26.73    (55)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.42/26.73    (56)  all_54_13 = all_52_7
% 172.42/26.73    (57)  all_54_15 = all_14_2
% 172.42/26.73    (58)  op(e3, e0) = all_58_1
% 172.42/26.73    (59)   ~ (all_14_2 = all_10_1)
% 172.42/26.73    (60)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.42/26.73    (61)   ~ (all_52_8 = all_6_2)
% 172.42/26.73    (62)  all_56_6 = all_52_2
% 172.42/26.73    (63)   ~ (all_52_7 = e0)
% 172.42/26.73    (64)  all_58_24 = all_52_8
% 172.42/26.73    (65)   ~ (all_52_12 = all_52_14)
% 172.42/26.73    (66)  all_58_22 = all_52_6
% 172.42/26.73    (67)  all_56_3 = all_4_2
% 172.42/26.73    (68)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 172.42/26.73    (69)  all_58_27 = all_10_1
% 172.42/26.73    (70)   ~ (all_52_14 = all_14_2)
% 172.42/26.73    (71)  all_58_25 = all_52_9
% 172.42/26.73    (72)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.42/26.73            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.42/26.73    (73)  all_58_21 = all_4_2
% 172.42/26.73    (74)  all_56_10 = all_52_13
% 172.42/26.73    (75)   ~ (e2 = e0)
% 172.42/26.73    (76)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 172.42/26.73    (77)  all_58_28 = all_52_12
% 172.42/26.73    (78)   ~ (e1 = e0)
% 172.42/26.73    (79)  all_56_7 = all_52_6
% 172.42/26.73    (80)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.42/26.73            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.42/26.73            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.42/26.73            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.42/26.73            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.42/26.73            (all_58_15 = e0))
% 172.42/26.73    (81)   ~ (all_52_8 = e0)
% 172.42/26.73    (82)  op(e2, all_52_13) = all_58_7
% 172.42/26.73    (83)   ~ (all_10_1 = e0)
% 172.42/26.73    (84)   ~ (all_52_12 = all_52_13)
% 172.42/26.73  
% 172.42/26.73  Begin of proof
% 172.42/26.73  | 
% 172.42/26.73  | BETA: splitting (9) gives:
% 172.42/26.73  | 
% 172.42/26.73  | Case 1:
% 172.42/26.73  | | 
% 172.42/26.73  | |   (85)  all_56_3 = e0
% 172.42/26.73  | | 
% 172.42/26.73  | | COMBINE_EQS: (67), (85) imply:
% 172.42/26.73  | |   (86)  all_4_2 = e0
% 172.42/26.73  | | 
% 172.42/26.73  | | REDUCE: (49), (86) imply:
% 172.42/26.73  | |   (87)  $false
% 172.42/26.73  | | 
% 172.42/26.73  | | CLOSE: (87) is inconsistent.
% 172.42/26.73  | | 
% 172.42/26.73  | Case 2:
% 172.42/26.73  | | 
% 172.42/26.73  | |   (88)  all_56_5 = e0 | all_56_10 = e0
% 172.42/26.73  | | 
% 172.42/26.73  | | BETA: splitting (88) gives:
% 172.42/26.73  | | 
% 172.42/26.73  | | Case 1:
% 172.42/26.73  | | | 
% 172.42/26.73  | | |   (89)  all_56_5 = e0
% 172.42/26.73  | | | 
% 172.42/26.73  | | | COMBINE_EQS: (7), (89) imply:
% 172.42/26.73  | | |   (90)  all_52_9 = e0
% 172.42/26.73  | | | 
% 172.42/26.73  | | | REDUCE: (20), (90) imply:
% 172.42/26.73  | | |   (91)  $false
% 172.42/26.73  | | | 
% 172.42/26.73  | | | CLOSE: (91) is inconsistent.
% 172.42/26.73  | | | 
% 172.42/26.73  | | Case 2:
% 172.42/26.73  | | | 
% 172.42/26.73  | | |   (92)  all_56_10 = e0
% 172.42/26.73  | | | 
% 172.42/26.73  | | | COMBINE_EQS: (74), (92) imply:
% 172.42/26.73  | | |   (93)  all_52_13 = e0
% 172.42/26.73  | | | 
% 172.42/26.73  | | | SIMP: (93) implies:
% 172.42/26.73  | | |   (94)  all_52_13 = e0
% 172.42/26.73  | | | 
% 172.42/26.73  | | | COMBINE_EQS: (48), (94) imply:
% 172.42/26.73  | | |   (95)  all_58_29 = e0
% 172.42/26.73  | | | 
% 172.42/26.73  | | | REDUCE: (84), (94) imply:
% 172.42/26.73  | | |   (96)   ~ (all_52_12 = e0)
% 172.42/26.73  | | | 
% 172.42/26.73  | | | REDUCE: (41), (94) imply:
% 172.42/26.73  | | |   (97)   ~ (all_52_14 = e0)
% 172.42/26.73  | | | 
% 172.42/26.73  | | | SIMP: (97) implies:
% 172.42/26.73  | | |   (98)   ~ (all_52_14 = e0)
% 172.42/26.73  | | | 
% 172.42/26.73  | | | REDUCE: (38), (94) imply:
% 172.42/26.73  | | |   (99)   ~ (all_14_2 = e0)
% 172.42/26.73  | | | 
% 172.42/26.73  | | | SIMP: (99) implies:
% 172.42/26.73  | | |   (100)   ~ (all_14_2 = e0)
% 172.42/26.73  | | | 
% 172.42/26.73  | | | REDUCE: (16), (94) imply:
% 172.42/26.73  | | |   (101)   ~ (all_4_2 = e0)
% 172.42/26.73  | | | 
% 172.42/26.73  | | | REDUCE: (82), (94) imply:
% 172.42/26.73  | | |   (102)  op(e2, e0) = all_58_7
% 172.42/26.73  | | | 
% 172.42/26.73  | | | REDUCE: (11), (94) imply:
% 172.42/26.73  | | |   (103)  op(e2, e0) = e0
% 172.42/26.73  | | | 
% 172.42/26.73  | | | GROUND_INST: instantiating (72) with all_14_2, all_58_12, e0, e0,
% 172.42/26.73  | | |              simplifying with (1), (19) gives:
% 172.42/26.73  | | |   (104)  all_58_12 = all_14_2
% 172.42/26.73  | | | 
% 172.42/26.73  | | | GROUND_INST: instantiating (72) with e0, all_58_7, e0, e2, simplifying
% 172.42/26.73  | | |              with (102), (103) gives:
% 172.42/26.73  | | |   (105)  all_58_7 = e0
% 172.42/26.73  | | | 
% 172.42/26.73  | | | GROUND_INST: instantiating (72) with all_52_12, all_58_1, e0, e3,
% 172.42/26.73  | | |              simplifying with (47), (58) gives:
% 172.42/26.73  | | |   (106)  all_58_1 = all_52_12
% 172.42/26.73  | | | 
% 172.42/26.73  | | | BETA: splitting (76) gives:
% 172.42/26.73  | | | 
% 172.42/26.73  | | | Case 1:
% 172.42/26.73  | | | | 
% 172.42/26.73  | | | |   (107)  all_54_13 = e0
% 172.42/26.73  | | | | 
% 172.42/26.73  | | | | REF_CLOSE: (56), (63), (107) are inconsistent by sub-proof #800.
% 172.42/26.73  | | | | 
% 172.42/26.73  | | | Case 2:
% 172.42/26.73  | | | | 
% 172.42/26.73  | | | |   (108)   ~ (all_54_13 = e0)
% 172.42/26.73  | | | |   (109)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 172.42/26.73  | | | | 
% 172.42/26.73  | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (12), (13), (14),
% 172.42/26.73  | | | |            (15), (17), (18), (21), (22), (23), (24), (25), (26), (27),
% 172.42/26.73  | | | |            (28), (29), (30), (31), (32), (33), (34), (35), (36), (37),
% 172.42/26.73  | | | |            (39), (40), (42), (43), (44), (45), (46), (49), (50), (51),
% 172.42/26.73  | | | |            (52), (53), (54), (55), (56), (57), (59), (60), (61), (62),
% 172.42/26.73  | | | |            (63), (64), (65), (66), (68), (69), (70), (71), (73), (75),
% 172.42/26.73  | | | |            (77), (78), (79), (80), (81), (83), (92), (95), (96), (98),
% 172.42/26.73  | | | |            (100), (104), (105), (106), (109) are inconsistent by
% 172.42/26.73  | | | |            sub-proof #319.
% 172.42/26.73  | | | | 
% 172.42/26.73  | | | End of split
% 172.42/26.73  | | | 
% 172.42/26.73  | | End of split
% 172.42/26.73  | | 
% 172.42/26.73  | End of split
% 172.42/26.73  | 
% 172.42/26.73  End of proof
% 172.42/26.73  
% 172.42/26.73  Sub-proof #319 shows that the following formulas are inconsistent:
% 172.42/26.73  ----------------------------------------------------------------
% 172.42/26.73    (1)   ~ (all_52_8 = all_52_12)
% 172.42/26.73    (2)   ~ (e3 = e1)
% 172.42/26.73    (3)  all_58_23 = all_52_7
% 172.42/26.73    (4)   ~ (all_52_2 = all_6_2)
% 172.42/26.73    (5)  all_54_3 = all_52_12
% 172.42/26.73    (6)  all_56_5 = all_52_9
% 172.42/26.73    (7)  all_58_10 = all_52_14
% 172.42/26.73    (8)   ~ (all_52_12 = all_6_2)
% 172.42/26.73    (9)   ~ (all_14_2 = e1)
% 172.42/26.73    (10)  all_56_10 = e0
% 172.42/26.73    (11)  all_56_15 = all_14_2
% 172.42/26.73    (12)   ~ (all_14_2 = e0)
% 172.42/26.73    (13)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 172.42/26.73    (14)   ~ (all_52_9 = all_4_2)
% 172.42/26.73    (15)  all_58_12 = all_14_2
% 172.42/26.73    (16)  all_56_12 = e0
% 172.42/26.73    (17)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.42/26.73    (18)  all_58_31 = all_14_2
% 172.42/26.73    (19)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.42/26.73    (20)   ~ (all_52_1 = all_6_2)
% 172.42/26.73    (21)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 172.42/26.73    (22)  all_56_11 = all_52_14
% 172.42/26.73    (23)   ~ (all_52_6 = all_52_7)
% 172.42/26.73    (24)  all_56_0 = all_6_2
% 172.42/26.73    (25)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.42/26.73    (26)  all_58_30 = all_52_14
% 172.42/26.73    (27)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 172.42/26.73    (28)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.42/26.73    (29)  all_58_20 = e0
% 172.42/26.73    (30)  all_56_14 = all_10_1
% 172.42/26.73    (31)  all_56_9 = all_52_12
% 172.42/26.73    (32)   ~ (e3 = e2)
% 172.42/26.73    (33)   ~ (e2 = e1)
% 172.42/26.73    (34)  all_58_26 = e0
% 172.42/26.73    (35)  all_56_8 = e0
% 172.42/26.73    (36)   ~ (all_52_1 = all_4_2)
% 172.42/26.73    (37)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.42/26.73    (38)  all_58_7 = e0
% 172.42/26.73    (39)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.42/26.73    (40)  all_56_13 = all_52_7
% 172.42/26.73    (41)   ~ (all_52_12 = e0)
% 172.42/26.73    (42)  all_56_2 = all_52_1
% 172.42/26.73    (43)   ~ (all_52_8 = all_10_1)
% 172.42/26.73    (44)   ~ (e3 = e0)
% 172.42/26.73    (45)   ~ (all_4_2 = e0)
% 172.42/26.73    (46)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.42/26.73    (47)   ~ (all_6_2 = e0)
% 172.42/26.73    (48)   ~ (all_52_6 = all_52_14)
% 172.42/26.73    (49)   ~ (all_52_7 = all_4_2)
% 172.42/26.73    (50)  all_56_4 = all_52_8
% 172.42/26.73    (51)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.42/26.73    (52)  all_54_13 = all_52_7
% 172.42/26.73    (53)  all_54_15 = all_14_2
% 172.42/26.73    (54)   ~ (all_14_2 = all_10_1)
% 172.42/26.73    (55)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.42/26.73    (56)   ~ (all_52_8 = all_6_2)
% 172.42/26.73    (57)  all_56_6 = all_52_2
% 172.42/26.73    (58)   ~ (all_52_7 = e0)
% 172.42/26.73    (59)  all_58_24 = all_52_8
% 172.42/26.73    (60)   ~ (all_52_12 = all_52_14)
% 172.42/26.73    (61)  all_58_22 = all_52_6
% 172.42/26.73    (62)  all_58_29 = e0
% 172.42/26.73    (63)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 172.42/26.73    (64)  all_58_1 = all_52_12
% 172.42/26.73    (65)  all_58_27 = all_10_1
% 172.42/26.73    (66)   ~ (all_52_14 = all_14_2)
% 172.42/26.73    (67)  all_58_25 = all_52_9
% 172.42/26.73    (68)  all_58_21 = all_4_2
% 172.42/26.73    (69)   ~ (e2 = e0)
% 172.42/26.73    (70)   ~ (all_52_14 = e0)
% 172.42/26.73    (71)  all_58_28 = all_52_12
% 172.42/26.73    (72)   ~ (e1 = e0)
% 172.42/26.73    (73)  all_56_7 = all_52_6
% 172.42/26.73    (74)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.42/26.73            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.42/26.73            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.42/26.73            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.42/26.73            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.42/26.73            (all_58_15 = e0))
% 172.42/26.73    (75)   ~ (all_52_8 = e0)
% 172.42/26.73    (76)   ~ (all_10_1 = e0)
% 172.42/26.73  
% 172.42/26.73  Begin of proof
% 172.42/26.73  | 
% 172.42/26.73  | BETA: splitting (13) gives:
% 172.42/26.73  | 
% 172.42/26.73  | Case 1:
% 172.42/26.73  | | 
% 172.42/26.73  | |   (77)  all_54_3 = e0
% 172.42/26.73  | | 
% 172.42/26.73  | | COMBINE_EQS: (5), (77) imply:
% 172.42/26.73  | |   (78)  all_52_12 = e0
% 172.42/26.73  | | 
% 172.42/26.73  | | REDUCE: (41), (78) imply:
% 172.42/26.73  | |   (79)  $false
% 172.42/26.73  | | 
% 172.42/26.73  | | CLOSE: (79) is inconsistent.
% 172.42/26.73  | | 
% 172.42/26.73  | Case 2:
% 172.42/26.73  | | 
% 172.42/26.73  | |   (80)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 172.42/26.73  | | 
% 172.42/26.73  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 172.42/26.73  | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 172.42/26.73  | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 172.42/26.73  | |            (36), (37), (38), (39), (40), (42), (43), (44), (45), (46), (47),
% 172.42/26.73  | |            (48), (49), (50), (51), (52), (53), (54), (55), (56), (57), (58),
% 172.42/26.73  | |            (59), (60), (61), (62), (63), (64), (65), (66), (67), (68), (69),
% 172.42/26.73  | |            (70), (71), (72), (73), (74), (75), (76), (80) are inconsistent
% 172.42/26.73  | |            by sub-proof #320.
% 172.42/26.73  | | 
% 172.42/26.73  | End of split
% 172.42/26.73  | 
% 172.42/26.73  End of proof
% 172.42/26.73  
% 172.42/26.73  Sub-proof #320 shows that the following formulas are inconsistent:
% 172.42/26.73  ----------------------------------------------------------------
% 172.42/26.73    (1)   ~ (all_52_8 = all_52_12)
% 172.42/26.73    (2)   ~ (e3 = e1)
% 172.42/26.73    (3)  all_58_23 = all_52_7
% 172.42/26.73    (4)   ~ (all_52_2 = all_6_2)
% 172.42/26.73    (5)  all_54_3 = all_52_12
% 172.42/26.73    (6)  all_56_5 = all_52_9
% 172.42/26.73    (7)  all_58_10 = all_52_14
% 172.42/26.73    (8)   ~ (all_52_12 = all_6_2)
% 172.42/26.73    (9)   ~ (all_14_2 = e1)
% 172.42/26.73    (10)  all_56_10 = e0
% 172.42/26.73    (11)  all_56_15 = all_14_2
% 172.42/26.73    (12)   ~ (all_14_2 = e0)
% 172.42/26.73    (13)   ~ (all_52_9 = all_4_2)
% 172.42/26.73    (14)  all_58_12 = all_14_2
% 172.42/26.73    (15)  all_56_12 = e0
% 172.42/26.73    (16)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.42/26.73    (17)  all_58_31 = all_14_2
% 172.42/26.73    (18)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.42/26.73    (19)   ~ (all_52_1 = all_6_2)
% 172.42/26.73    (20)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 172.42/26.73    (21)  all_56_11 = all_52_14
% 172.42/26.73    (22)   ~ (all_52_6 = all_52_7)
% 172.42/26.73    (23)  all_56_0 = all_6_2
% 172.42/26.73    (24)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.42/26.73    (25)  all_58_30 = all_52_14
% 172.42/26.73    (26)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 172.42/26.73    (27)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 172.42/26.73    (28)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.42/26.73    (29)  all_58_20 = e0
% 172.42/26.73    (30)  all_56_14 = all_10_1
% 172.42/26.73    (31)  all_56_9 = all_52_12
% 172.42/26.73    (32)   ~ (e3 = e2)
% 172.42/26.73    (33)   ~ (e2 = e1)
% 172.42/26.73    (34)  all_58_26 = e0
% 172.42/26.73    (35)  all_56_8 = e0
% 172.42/26.73    (36)   ~ (all_52_1 = all_4_2)
% 172.42/26.73    (37)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.42/26.73    (38)  all_58_7 = e0
% 172.42/26.73    (39)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.42/26.73    (40)  all_56_13 = all_52_7
% 172.42/26.73    (41)  all_56_2 = all_52_1
% 172.42/26.73    (42)   ~ (all_52_8 = all_10_1)
% 172.42/26.73    (43)   ~ (e3 = e0)
% 172.42/26.73    (44)   ~ (all_4_2 = e0)
% 172.42/26.73    (45)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.42/26.73    (46)   ~ (all_6_2 = e0)
% 172.42/26.73    (47)   ~ (all_52_6 = all_52_14)
% 172.42/26.73    (48)   ~ (all_52_7 = all_4_2)
% 172.42/26.73    (49)  all_56_4 = all_52_8
% 172.42/26.73    (50)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.42/26.73    (51)  all_54_13 = all_52_7
% 172.42/26.73    (52)  all_54_15 = all_14_2
% 172.42/26.73    (53)   ~ (all_14_2 = all_10_1)
% 172.42/26.73    (54)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.42/26.73    (55)   ~ (all_52_8 = all_6_2)
% 172.42/26.73    (56)  all_56_6 = all_52_2
% 172.42/26.73    (57)   ~ (all_52_7 = e0)
% 172.42/26.73    (58)  all_58_24 = all_52_8
% 172.42/26.73    (59)   ~ (all_52_12 = all_52_14)
% 172.42/26.73    (60)  all_58_22 = all_52_6
% 172.42/26.73    (61)  all_58_29 = e0
% 172.42/26.73    (62)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 172.42/26.73    (63)  all_58_1 = all_52_12
% 172.42/26.73    (64)  all_58_27 = all_10_1
% 172.42/26.73    (65)   ~ (all_52_14 = all_14_2)
% 172.42/26.73    (66)  all_58_25 = all_52_9
% 172.42/26.73    (67)  all_58_21 = all_4_2
% 172.42/26.73    (68)   ~ (e2 = e0)
% 172.42/26.73    (69)   ~ (all_52_14 = e0)
% 172.42/26.73    (70)  all_58_28 = all_52_12
% 172.42/26.73    (71)   ~ (e1 = e0)
% 172.42/26.73    (72)  all_56_7 = all_52_6
% 172.42/26.73    (73)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.42/26.73            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.42/26.73            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.42/26.73            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.42/26.73            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.42/26.73            (all_58_15 = e0))
% 172.42/26.73    (74)   ~ (all_52_8 = e0)
% 172.42/26.73    (75)   ~ (all_10_1 = e0)
% 172.42/26.73  
% 172.42/26.73  Begin of proof
% 172.42/26.73  | 
% 172.42/26.73  | BETA: splitting (37) gives:
% 172.42/26.73  | 
% 172.42/26.73  | Case 1:
% 172.42/26.73  | | 
% 172.42/26.73  | |   (76)  all_56_9 = e1
% 172.42/26.73  | | 
% 172.42/26.73  | | COMBINE_EQS: (31), (76) imply:
% 172.42/26.73  | |   (77)  all_52_12 = e1
% 172.42/26.73  | | 
% 172.42/26.73  | | SIMP: (77) implies:
% 172.42/26.73  | |   (78)  all_52_12 = e1
% 172.42/26.73  | | 
% 172.42/26.73  | | COMBINE_EQS: (70), (78) imply:
% 172.42/26.73  | |   (79)  all_58_28 = e1
% 172.42/26.73  | | 
% 172.42/26.73  | | REDUCE: (59), (78) imply:
% 172.42/26.73  | |   (80)   ~ (all_52_14 = e1)
% 172.42/26.73  | | 
% 172.42/26.73  | | SIMP: (80) implies:
% 172.42/26.73  | |   (81)   ~ (all_52_14 = e1)
% 172.42/26.73  | | 
% 172.42/26.73  | | REF_CLOSE: (2), (12), (16), (17), (25), (61), (68), (79), (81) are
% 172.42/26.73  | |            inconsistent by sub-proof #477.
% 172.42/26.73  | | 
% 172.42/26.73  | Case 2:
% 172.42/26.73  | | 
% 172.42/26.73  | |   (82)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.42/26.73  | | 
% 172.42/26.73  | | BETA: splitting (82) gives:
% 172.42/26.73  | | 
% 172.42/26.73  | | Case 1:
% 172.42/26.73  | | | 
% 172.42/26.73  | | |   (83)  all_56_10 = e1
% 172.42/26.73  | | | 
% 172.42/26.73  | | | COMBINE_EQS: (10), (83) imply:
% 172.42/26.73  | | |   (84)  e1 = e0
% 172.42/26.73  | | | 
% 172.42/26.73  | | | REDUCE: (71), (84) imply:
% 172.42/26.73  | | |   (85)  $false
% 172.42/26.73  | | | 
% 172.42/26.73  | | | CLOSE: (85) is inconsistent.
% 172.42/26.73  | | | 
% 172.42/26.73  | | Case 2:
% 172.42/26.73  | | | 
% 172.42/26.73  | | |   (86)  all_56_11 = e1 | all_56_15 = e1
% 172.42/26.73  | | | 
% 172.42/26.73  | | | BETA: splitting (86) gives:
% 172.42/26.73  | | | 
% 172.42/26.73  | | | Case 1:
% 172.42/26.73  | | | | 
% 172.42/26.73  | | | |   (87)  all_56_11 = e1
% 172.42/26.73  | | | | 
% 172.42/26.73  | | | | COMBINE_EQS: (21), (87) imply:
% 172.42/26.73  | | | |   (88)  all_52_14 = e1
% 172.42/26.73  | | | | 
% 172.42/26.73  | | | | SIMP: (88) implies:
% 172.42/26.73  | | | |   (89)  all_52_14 = e1
% 172.42/26.73  | | | | 
% 172.42/26.73  | | | | COMBINE_EQS: (7), (89) imply:
% 172.42/26.73  | | | |   (90)  all_58_10 = e1
% 172.42/26.73  | | | | 
% 172.42/26.73  | | | | REDUCE: (47), (89) imply:
% 172.42/26.73  | | | |   (91)   ~ (all_52_6 = e1)
% 172.42/26.73  | | | | 
% 172.42/26.73  | | | | REDUCE: (59), (89) imply:
% 172.42/26.73  | | | |   (92)   ~ (all_52_12 = e1)
% 172.42/26.73  | | | | 
% 172.42/26.73  | | | | REDUCE: (65), (89) imply:
% 172.42/26.73  | | | |   (93)   ~ (all_14_2 = e1)
% 172.42/26.73  | | | | 
% 172.42/26.73  | | | | BETA: splitting (54) gives:
% 172.42/26.73  | | | | 
% 172.42/26.73  | | | | Case 1:
% 172.42/26.73  | | | | | 
% 172.42/26.73  | | | | |   (94)  all_58_23 = e0
% 172.42/26.73  | | | | | 
% 172.42/26.73  | | | | | COMBINE_EQS: (3), (94) imply:
% 172.42/26.73  | | | | |   (95)  all_52_7 = e0
% 172.42/26.73  | | | | | 
% 172.42/26.73  | | | | | REDUCE: (57), (95) imply:
% 172.42/26.73  | | | | |   (96)  $false
% 172.42/26.73  | | | | | 
% 172.42/26.73  | | | | | CLOSE: (96) is inconsistent.
% 172.42/26.73  | | | | | 
% 172.42/26.73  | | | | Case 2:
% 172.42/26.73  | | | | | 
% 172.42/26.73  | | | | |   (97)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.42/26.73  | | | | | 
% 172.42/26.73  | | | | | BETA: splitting (97) gives:
% 172.42/26.73  | | | | | 
% 172.42/26.73  | | | | | Case 1:
% 172.42/26.73  | | | | | | 
% 172.42/26.73  | | | | | |   (98)  all_58_22 = e1
% 172.42/26.73  | | | | | | 
% 172.42/26.73  | | | | | | COMBINE_EQS: (60), (98) imply:
% 172.42/26.73  | | | | | |   (99)  all_52_6 = e1
% 172.42/26.73  | | | | | | 
% 172.42/26.73  | | | | | | REDUCE: (91), (99) imply:
% 172.42/26.73  | | | | | |   (100)  $false
% 172.42/26.73  | | | | | | 
% 172.42/26.73  | | | | | | CLOSE: (100) is inconsistent.
% 172.42/26.73  | | | | | | 
% 172.42/26.73  | | | | | Case 2:
% 172.42/26.73  | | | | | | 
% 172.42/26.73  | | | | | |   (101)  all_58_20 = e3 | all_58_21 = e2
% 172.42/26.73  | | | | | | 
% 172.42/26.73  | | | | | | BETA: splitting (101) gives:
% 172.42/26.73  | | | | | | 
% 172.42/26.73  | | | | | | Case 1:
% 172.42/26.73  | | | | | | | 
% 172.42/26.73  | | | | | | |   (102)  all_58_21 = e2
% 172.42/26.73  | | | | | | | 
% 172.42/26.73  | | | | | | | COMBINE_EQS: (67), (102) imply:
% 172.42/26.73  | | | | | | |   (103)  all_4_2 = e2
% 172.42/26.73  | | | | | | | 
% 172.42/26.73  | | | | | | | REDUCE: (36), (103) imply:
% 172.42/26.73  | | | | | | |   (104)   ~ (all_52_1 = e2)
% 172.42/26.73  | | | | | | | 
% 172.42/26.73  | | | | | | | REDUCE: (48), (103) imply:
% 172.42/26.73  | | | | | | |   (105)   ~ (all_52_7 = e2)
% 172.42/26.73  | | | | | | | 
% 172.42/26.73  | | | | | | | REDUCE: (13), (103) imply:
% 172.42/26.73  | | | | | | |   (106)   ~ (all_52_9 = e2)
% 172.42/26.73  | | | | | | | 
% 172.42/26.73  | | | | | | | BETA: splitting (24) gives:
% 172.42/26.73  | | | | | | | 
% 172.42/26.73  | | | | | | | Case 1:
% 172.42/26.73  | | | | | | | | 
% 172.42/26.73  | | | | | | | |   (107)  all_58_27 = e0
% 172.42/26.73  | | | | | | | | 
% 172.42/26.73  | | | | | | | | COMBINE_EQS: (64), (107) imply:
% 172.42/26.73  | | | | | | | |   (108)  all_10_1 = e0
% 172.42/26.73  | | | | | | | | 
% 172.42/26.73  | | | | | | | | REDUCE: (75), (108) imply:
% 172.42/26.73  | | | | | | | |   (109)  $false
% 172.42/26.73  | | | | | | | | 
% 172.42/26.73  | | | | | | | | CLOSE: (109) is inconsistent.
% 172.42/26.73  | | | | | | | | 
% 172.42/26.73  | | | | | | | Case 2:
% 172.42/26.73  | | | | | | | | 
% 172.42/26.73  | | | | | | | |   (110)   ~ (all_58_27 = e0)
% 172.42/26.73  | | | | | | | |   (111)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.42/26.73  | | | | | | | | 
% 172.42/26.73  | | | | | | | | BETA: splitting (45) gives:
% 172.42/26.73  | | | | | | | | 
% 172.42/26.73  | | | | | | | | Case 1:
% 172.42/26.73  | | | | | | | | | 
% 172.42/26.73  | | | | | | | | |   (112)  all_56_6 = e2
% 172.42/26.73  | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | COMBINE_EQS: (56), (112) imply:
% 172.42/26.73  | | | | | | | | |   (113)  all_52_2 = e2
% 172.42/26.73  | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | BETA: splitting (111) gives:
% 172.42/26.73  | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | Case 1:
% 172.42/26.73  | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | |   (114)  all_58_26 = e1
% 172.42/26.73  | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | COMBINE_EQS: (34), (114) imply:
% 172.42/26.73  | | | | | | | | | |   (115)  e1 = e0
% 172.42/26.73  | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | REDUCE: (71), (115) imply:
% 172.42/26.73  | | | | | | | | | |   (116)  $false
% 172.42/26.73  | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | CLOSE: (116) is inconsistent.
% 172.42/26.73  | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | Case 2:
% 172.42/26.73  | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | |   (117)  all_58_24 = e3 | all_58_25 = e2
% 172.42/26.73  | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | BETA: splitting (18) gives:
% 172.42/26.73  | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | Case 1:
% 172.42/26.73  | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | |   (118)  all_56_6 = e3
% 172.42/26.73  | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | REF_CLOSE: (32), (112), (118) are inconsistent by sub-proof
% 172.42/26.73  | | | | | | | | | | |            #792.
% 172.42/26.73  | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | Case 2:
% 172.42/26.73  | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | |   (119)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.42/26.73  | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | BETA: splitting (119) gives:
% 172.42/26.73  | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | Case 1:
% 172.42/26.73  | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | |   (120)  all_56_7 = e3
% 172.42/26.73  | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | COMBINE_EQS: (72), (120) imply:
% 172.42/26.73  | | | | | | | | | | | |   (121)  all_52_6 = e3
% 172.42/26.73  | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | REDUCE: (22), (121) imply:
% 172.42/26.73  | | | | | | | | | | | |   (122)   ~ (all_52_7 = e3)
% 172.42/26.73  | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | SIMP: (122) implies:
% 172.42/26.73  | | | | | | | | | | | |   (123)   ~ (all_52_7 = e3)
% 172.42/26.73  | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | BETA: splitting (26) gives:
% 172.42/26.73  | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | Case 1:
% 172.42/26.73  | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | |   (124)  all_54_13 = e1
% 172.42/26.73  | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | COMBINE_EQS: (51), (124) imply:
% 172.42/26.73  | | | | | | | | | | | | |   (125)  all_52_7 = e1
% 172.42/26.73  | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | COMBINE_EQS: (40), (125) imply:
% 172.42/26.73  | | | | | | | | | | | | |   (126)  all_56_13 = e1
% 172.42/26.73  | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | REDUCE: (123), (125) imply:
% 172.42/26.73  | | | | | | | | | | | | |   (127)   ~ (e3 = e1)
% 172.42/26.73  | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | BETA: splitting (117) gives:
% 172.42/26.73  | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | Case 1:
% 172.42/26.73  | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | |   (128)  all_58_25 = e2
% 172.42/26.73  | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | COMBINE_EQS: (66), (128) imply:
% 172.42/26.73  | | | | | | | | | | | | | |   (129)  all_52_9 = e2
% 172.42/26.73  | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | REDUCE: (106), (129) imply:
% 172.42/26.73  | | | | | | | | | | | | | |   (130)  $false
% 172.42/26.73  | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | CLOSE: (130) is inconsistent.
% 172.42/26.73  | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | Case 2:
% 172.42/26.73  | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | |   (131)  all_58_24 = e3
% 172.42/26.73  | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | COMBINE_EQS: (58), (131) imply:
% 172.42/26.73  | | | | | | | | | | | | | |   (132)  all_52_8 = e3
% 172.42/26.73  | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | REDUCE: (1), (132) imply:
% 172.42/26.73  | | | | | | | | | | | | | |   (133)   ~ (all_52_12 = e3)
% 172.42/26.73  | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | SIMP: (133) implies:
% 172.42/26.73  | | | | | | | | | | | | | |   (134)   ~ (all_52_12 = e3)
% 172.42/26.73  | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | REDUCE: (42), (132) imply:
% 172.42/26.73  | | | | | | | | | | | | | |   (135)   ~ (all_10_1 = e3)
% 172.42/26.73  | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | SIMP: (135) implies:
% 172.42/26.73  | | | | | | | | | | | | | |   (136)   ~ (all_10_1 = e3)
% 172.42/26.73  | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | BETA: splitting (50) gives:
% 172.42/26.73  | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | Case 1:
% 172.42/26.73  | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | |   (137)  all_56_12 = e3
% 172.42/26.73  | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | COMBINE_EQS: (15), (137) imply:
% 172.42/26.73  | | | | | | | | | | | | | | |   (138)  e3 = e0
% 172.42/26.73  | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | REDUCE: (43), (138) imply:
% 172.42/26.73  | | | | | | | | | | | | | | |   (139)  $false
% 172.42/26.73  | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | CLOSE: (139) is inconsistent.
% 172.42/26.73  | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | Case 2:
% 172.42/26.73  | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | |   (140)  all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.42/26.73  | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | BETA: splitting (140) gives:
% 172.42/26.73  | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | Case 1:
% 172.42/26.73  | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | |   (141)  all_56_13 = e3
% 172.42/26.73  | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | COMBINE_EQS: (126), (141) imply:
% 172.42/26.73  | | | | | | | | | | | | | | | |   (142)  e3 = e1
% 172.42/26.73  | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | REDUCE: (2), (142) imply:
% 172.42/26.73  | | | | | | | | | | | | | | | |   (143)  $false
% 172.42/26.73  | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | CLOSE: (143) is inconsistent.
% 172.42/26.73  | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | Case 2:
% 172.42/26.73  | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | |   (144)  all_56_14 = e3 | all_56_15 = e3
% 172.42/26.73  | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | BETA: splitting (27) gives:
% 172.42/26.73  | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | Case 1:
% 172.42/26.73  | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | |   (145)  all_54_3 = e1
% 172.42/26.73  | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (92), (145) are inconsistent by sub-proof
% 172.42/26.73  | | | | | | | | | | | | | | | | |            #894.
% 172.42/26.73  | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | Case 2:
% 172.42/26.73  | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | |   (146)  all_54_3 = e3 | all_54_3 = e2
% 172.42/26.73  | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | BETA: splitting (146) gives:
% 172.42/26.73  | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | Case 1:
% 172.42/26.73  | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | |   (147)  all_54_3 = e2
% 172.42/26.73  | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5), (147) imply:
% 172.42/26.73  | | | | | | | | | | | | | | | | | |   (148)  all_52_12 = e2
% 172.42/26.73  | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | SIMP: (148) implies:
% 172.42/26.73  | | | | | | | | | | | | | | | | | |   (149)  all_52_12 = e2
% 172.42/26.73  | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (63), (149) imply:
% 172.42/26.73  | | | | | | | | | | | | | | | | | |   (150)  all_58_1 = e2
% 172.42/26.73  | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 172.42/26.73  | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | Case 1:
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | |   (151)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~
% 172.42/26.73  | | | | | | | | | | | | | | | | | | |            (all_58_2 = e1) &  ~ (all_58_3 = e0)) | ( ~
% 172.42/26.73  | | | | | | | | | | | | | | | | | | |            (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.42/26.73  | | | | | | | | | | | | | | | | | | |            (all_58_6 = e1) &  ~ (all_58_7 = e0))
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (150), (151) are inconsistent by sub-proof
% 172.42/26.73  | | | | | | | | | | | | | | | | | | |            #324.
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | Case 2:
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | |   (152)  ( ~ (all_58_8 = e3) &  ~ (all_58_9 = e2) &  ~
% 172.42/26.73  | | | | | | | | | | | | | | | | | | |            (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.42/26.73  | | | | | | | | | | | | | | | | | | |            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~
% 172.42/26.73  | | | | | | | | | | | | | | | | | | |            (all_58_14 = e1) &  ~ (all_58_15 = e0))
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | BETA: splitting (152) gives:
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | |   (153)   ~ (all_58_8 = e3) &  ~ (all_58_9 = e2) &  ~
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | |          (all_58_10 = e1) &  ~ (all_58_11 = e0)
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | ALPHA: (153) implies:
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | |   (154)   ~ (all_58_10 = e1)
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (154) imply:
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | |   (155)  $false
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | CLOSE: (155) is inconsistent.
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | |   (156)   ~ (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | |          (all_58_14 = e1) &  ~ (all_58_15 = e0)
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | ALPHA: (156) implies:
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | |   (157)   ~ (all_58_12 = e3)
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (157) imply:
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | |   (158)   ~ (all_14_2 = e3)
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | |   (159)  all_56_14 = e3
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (136), (159) are inconsistent by sub-proof
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | |            #323.
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | |   (160)  all_56_15 = e3
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (158), (160) are inconsistent by sub-proof
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | |            #535.
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | End of split
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | End of split
% 172.42/26.73  | | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | End of split
% 172.42/26.73  | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | Case 2:
% 172.42/26.73  | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | |   (161)  all_54_3 = e3
% 172.42/26.73  | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (134), (161) are inconsistent by sub-proof
% 172.42/26.73  | | | | | | | | | | | | | | | | | |            #892.
% 172.42/26.73  | | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | | End of split
% 172.42/26.73  | | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | | End of split
% 172.42/26.73  | | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | | End of split
% 172.42/26.73  | | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | | End of split
% 172.42/26.73  | | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | | End of split
% 172.42/26.73  | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | Case 2:
% 172.42/26.73  | | | | | | | | | | | | | 
% 172.42/26.73  | | | | | | | | | | | | |   (162)  all_54_13 = e3 | all_54_13 = e2
% 172.42/26.73  | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | REF_CLOSE: (51), (105), (123), (162) are inconsistent by
% 172.42/26.74  | | | | | | | | | | | | |            sub-proof #770.
% 172.42/26.74  | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | End of split
% 172.42/26.74  | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | Case 2:
% 172.42/26.74  | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | |   (163)  all_56_8 = e3 | all_56_11 = e3
% 172.42/26.74  | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | REF_CLOSE: (2), (35), (43), (87), (163) are inconsistent by
% 172.42/26.74  | | | | | | | | | | | |            sub-proof #780.
% 172.42/26.74  | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | End of split
% 172.42/26.74  | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | End of split
% 172.42/26.74  | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | End of split
% 172.42/26.74  | | | | | | | | | 
% 172.42/26.74  | | | | | | | | Case 2:
% 172.42/26.74  | | | | | | | | | 
% 172.42/26.74  | | | | | | | | |   (164)   ~ (all_56_6 = e2)
% 172.42/26.74  | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | REDUCE: (56), (164) imply:
% 172.42/26.74  | | | | | | | | |   (165)   ~ (all_52_2 = e2)
% 172.42/26.74  | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | BETA: splitting (39) gives:
% 172.42/26.74  | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | Case 1:
% 172.42/26.74  | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | |   (166)  all_56_0 = e2
% 172.42/26.74  | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | COMBINE_EQS: (23), (166) imply:
% 172.42/26.74  | | | | | | | | | |   (167)  all_6_2 = e2
% 172.42/26.74  | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | REDUCE: (55), (167) imply:
% 172.42/26.74  | | | | | | | | | |   (168)   ~ (all_52_8 = e2)
% 172.42/26.74  | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | REDUCE: (8), (167) imply:
% 172.42/26.74  | | | | | | | | | |   (169)   ~ (all_52_12 = e2)
% 172.42/26.74  | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | BETA: splitting (28) gives:
% 172.42/26.74  | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | Case 1:
% 172.42/26.74  | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | |   (170)  all_56_9 = e2
% 172.42/26.74  | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | REF_CLOSE: (31), (169), (170) are inconsistent by sub-proof
% 172.42/26.74  | | | | | | | | | | |            #322.
% 172.42/26.74  | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | Case 2:
% 172.42/26.74  | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | |   (171)  all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.42/26.74  | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | BETA: splitting (171) gives:
% 172.42/26.74  | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | Case 1:
% 172.42/26.74  | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | |   (172)  all_56_10 = e2
% 172.42/26.74  | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | COMBINE_EQS: (10), (172) imply:
% 172.42/26.74  | | | | | | | | | | | |   (173)  e2 = e0
% 172.42/26.74  | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | REDUCE: (68), (173) imply:
% 172.42/26.74  | | | | | | | | | | | |   (174)  $false
% 172.42/26.74  | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | CLOSE: (174) is inconsistent.
% 172.42/26.74  | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | Case 2:
% 172.42/26.74  | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | |   (175)   ~ (all_56_10 = e2)
% 172.42/26.74  | | | | | | | | | | | |   (176)  all_56_11 = e2 | all_56_15 = e2
% 172.42/26.74  | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | REDUCE: (10), (175) imply:
% 172.42/26.74  | | | | | | | | | | | |   (177)   ~ (e2 = e0)
% 172.42/26.74  | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | BETA: splitting (20) gives:
% 172.42/26.74  | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | Case 1:
% 172.42/26.74  | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | |   (178)  all_56_4 = e2
% 172.42/26.74  | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | COMBINE_EQS: (49), (178) imply:
% 172.42/26.74  | | | | | | | | | | | | |   (179)  all_52_8 = e2
% 172.42/26.74  | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | REDUCE: (168), (179) imply:
% 172.42/26.74  | | | | | | | | | | | | |   (180)  $false
% 172.42/26.74  | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | CLOSE: (180) is inconsistent.
% 172.42/26.74  | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | Case 2:
% 172.42/26.74  | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | |   (181)  all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 172.42/26.74  | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | BETA: splitting (181) gives:
% 172.42/26.74  | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | Case 1:
% 172.42/26.74  | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | |   (182)  all_56_5 = e2
% 172.42/26.74  | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | COMBINE_EQS: (6), (182) imply:
% 172.42/26.74  | | | | | | | | | | | | | |   (183)  all_52_9 = e2
% 172.42/26.74  | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | REDUCE: (106), (183) imply:
% 172.42/26.74  | | | | | | | | | | | | | |   (184)  $false
% 172.42/26.74  | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | CLOSE: (184) is inconsistent.
% 172.42/26.74  | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | Case 2:
% 172.42/26.74  | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | |   (185)  all_56_8 = e2 | all_56_14 = e2
% 172.42/26.74  | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 172.42/26.74  | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | Case 1:
% 172.42/26.74  | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | |   (186)  all_56_8 = e2
% 172.42/26.74  | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | COMBINE_EQS: (35), (186) imply:
% 172.42/26.74  | | | | | | | | | | | | | | |   (187)  e2 = e0
% 172.42/26.74  | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | REDUCE: (68), (187) imply:
% 172.42/26.74  | | | | | | | | | | | | | | |   (188)  $false
% 172.42/26.74  | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | CLOSE: (188) is inconsistent.
% 172.42/26.74  | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | Case 2:
% 172.42/26.74  | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | |   (189)  all_56_14 = e2
% 172.42/26.74  | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | COMBINE_EQS: (30), (189) imply:
% 172.42/26.74  | | | | | | | | | | | | | | |   (190)  all_10_1 = e2
% 172.42/26.74  | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | SIMP: (190) implies:
% 172.42/26.74  | | | | | | | | | | | | | | |   (191)  all_10_1 = e2
% 172.42/26.74  | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | REDUCE: (53), (191) imply:
% 172.42/26.74  | | | | | | | | | | | | | | |   (192)   ~ (all_14_2 = e2)
% 172.42/26.74  | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | BETA: splitting (62) gives:
% 172.42/26.74  | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | Case 1:
% 172.42/26.74  | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | |   (193)  all_54_15 = e1
% 172.42/26.74  | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | REF_CLOSE: (9), (52), (193) are inconsistent by sub-proof
% 172.42/26.74  | | | | | | | | | | | | | | | |            #752.
% 172.42/26.74  | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | Case 2:
% 172.42/26.74  | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | |   (194)  all_54_15 = e3 | all_54_15 = e2
% 172.42/26.74  | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 172.42/26.74  | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | Case 1:
% 172.42/26.74  | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | |   (195)  all_54_15 = e2
% 172.42/26.74  | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | | REF_CLOSE: (52), (192), (195) are inconsistent by sub-proof
% 172.42/26.74  | | | | | | | | | | | | | | | | |            #615.
% 172.42/26.74  | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | Case 2:
% 172.42/26.74  | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | |   (196)  all_54_15 = e3
% 172.42/26.74  | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | | COMBINE_EQS: (52), (196) imply:
% 172.42/26.74  | | | | | | | | | | | | | | | | |   (197)  all_14_2 = e3
% 172.42/26.74  | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | | SIMP: (197) implies:
% 172.42/26.74  | | | | | | | | | | | | | | | | |   (198)  all_14_2 = e3
% 172.42/26.74  | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | | COMBINE_EQS: (11), (198) imply:
% 172.42/26.74  | | | | | | | | | | | | | | | | |   (199)  all_56_15 = e3
% 172.42/26.74  | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | | BETA: splitting (176) gives:
% 172.42/26.74  | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | | Case 1:
% 172.42/26.74  | | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | | |   (200)  all_56_11 = e2
% 172.42/26.74  | | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (87), (200) imply:
% 172.42/26.74  | | | | | | | | | | | | | | | | | |   (201)  e2 = e1
% 172.42/26.74  | | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (102), (201) imply:
% 172.42/26.74  | | | | | | | | | | | | | | | | | |   (202)  all_58_21 = e1
% 172.42/26.74  | | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 172.42/26.74  | | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | | | Case 1:
% 172.42/26.74  | | | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (102), (202) imply:
% 172.42/26.74  | | | | | | | | | | | | | | | | | | |   (203)  e2 = e1
% 172.42/26.74  | | | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (33), (39), (41), (56), (68), (104), (165),
% 172.42/26.74  | | | | | | | | | | | | | | | | | | |            (166), (203) are inconsistent by sub-proof #321.
% 172.42/26.74  | | | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | | | Case 2:
% 172.42/26.74  | | | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | | | |   (204)  all_58_20 = e3
% 172.42/26.74  | | | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (29), (204) imply:
% 172.42/26.74  | | | | | | | | | | | | | | | | | | |   (205)  e3 = e0
% 172.42/26.74  | | | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | | | | REDUCE: (43), (205) imply:
% 172.42/26.74  | | | | | | | | | | | | | | | | | | |   (206)  $false
% 172.42/26.74  | | | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | | | | CLOSE: (206) is inconsistent.
% 172.42/26.74  | | | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | | | End of split
% 172.42/26.74  | | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | | Case 2:
% 172.42/26.74  | | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | | |   (207)  all_56_15 = e2
% 172.42/26.74  | | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (199), (207) imply:
% 172.42/26.74  | | | | | | | | | | | | | | | | | |   (208)  e3 = e2
% 172.42/26.74  | | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | | | SIMP: (208) implies:
% 172.42/26.74  | | | | | | | | | | | | | | | | | |   (209)  e3 = e2
% 172.42/26.74  | | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | | | REDUCE: (32), (209) imply:
% 172.42/26.74  | | | | | | | | | | | | | | | | | |   (210)  $false
% 172.42/26.74  | | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | | | CLOSE: (210) is inconsistent.
% 172.42/26.74  | | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | | End of split
% 172.42/26.74  | | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | | End of split
% 172.42/26.74  | | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | | End of split
% 172.42/26.74  | | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | | End of split
% 172.42/26.74  | | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | | End of split
% 172.42/26.74  | | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | | End of split
% 172.42/26.74  | | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | | End of split
% 172.42/26.74  | | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | End of split
% 172.42/26.74  | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | Case 2:
% 172.42/26.74  | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | |   (211)  all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.42/26.74  | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | REF_CLOSE: (15), (41), (56), (68), (104), (165), (211) are
% 172.42/26.74  | | | | | | | | | |            inconsistent by sub-proof #732.
% 172.42/26.74  | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | End of split
% 172.42/26.74  | | | | | | | | | 
% 172.42/26.74  | | | | | | | | End of split
% 172.42/26.74  | | | | | | | | 
% 172.42/26.74  | | | | | | | End of split
% 172.42/26.74  | | | | | | | 
% 172.42/26.74  | | | | | | Case 2:
% 172.42/26.74  | | | | | | | 
% 172.42/26.74  | | | | | | |   (212)  all_58_20 = e3
% 172.42/26.74  | | | | | | | 
% 172.42/26.74  | | | | | | | REF_CLOSE: (29), (43), (212) are inconsistent by sub-proof #948.
% 172.42/26.74  | | | | | | | 
% 172.42/26.74  | | | | | | End of split
% 172.42/26.74  | | | | | | 
% 172.42/26.74  | | | | | End of split
% 172.42/26.74  | | | | | 
% 172.42/26.74  | | | | End of split
% 172.42/26.74  | | | | 
% 172.42/26.74  | | | Case 2:
% 172.42/26.74  | | | | 
% 172.42/26.74  | | | |   (213)  all_56_15 = e1
% 172.42/26.74  | | | | 
% 172.42/26.74  | | | | REF_CLOSE: (9), (11), (213) are inconsistent by sub-proof #876.
% 172.42/26.74  | | | | 
% 172.42/26.74  | | | End of split
% 172.42/26.74  | | | 
% 172.42/26.74  | | End of split
% 172.42/26.74  | | 
% 172.42/26.74  | End of split
% 172.42/26.74  | 
% 172.42/26.74  End of proof
% 172.42/26.74  
% 172.42/26.74  Sub-proof #321 shows that the following formulas are inconsistent:
% 172.42/26.74  ----------------------------------------------------------------
% 172.42/26.74    (1)  all_56_12 = e0
% 172.42/26.74    (2)   ~ (e2 = e1)
% 172.42/26.74    (3)   ~ (all_52_2 = e2)
% 172.42/26.74    (4)  e2 = e1
% 172.42/26.74    (5)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.42/26.74    (6)  all_56_2 = all_52_1
% 172.42/26.74    (7)  all_56_0 = e2
% 172.42/26.74    (8)  all_56_6 = all_52_2
% 172.42/26.74    (9)   ~ (all_52_1 = e2)
% 172.42/26.74    (10)   ~ (e2 = e0)
% 172.42/26.74  
% 172.42/26.74  Begin of proof
% 172.42/26.74  | 
% 172.42/26.74  | SIMP: (4) implies:
% 172.42/26.74  |   (11)  e2 = e1
% 172.42/26.74  | 
% 172.42/26.74  | COMBINE_EQS: (7), (11) imply:
% 172.42/26.74  |   (12)  all_56_0 = e1
% 172.42/26.74  | 
% 172.42/26.74  | REF_CLOSE: (1), (2), (3), (5), (6), (8), (9), (10), (12) are inconsistent by
% 172.42/26.74  |            sub-proof #731.
% 172.42/26.74  | 
% 172.42/26.74  End of proof
% 172.42/26.74  
% 172.42/26.74  Sub-proof #322 shows that the following formulas are inconsistent:
% 172.42/26.74  ----------------------------------------------------------------
% 172.42/26.74    (1)  all_56_9 = all_52_12
% 172.42/26.74    (2)  all_56_9 = e2
% 172.42/26.74    (3)   ~ (all_52_12 = e2)
% 172.42/26.74  
% 172.42/26.74  Begin of proof
% 172.42/26.74  | 
% 172.42/26.74  | COMBINE_EQS: (1), (2) imply:
% 172.42/26.74  |   (4)  all_52_12 = e2
% 172.42/26.74  | 
% 172.42/26.74  | SIMP: (4) implies:
% 172.42/26.74  |   (5)  all_52_12 = e2
% 172.42/26.74  | 
% 172.42/26.74  | REDUCE: (3), (5) imply:
% 172.42/26.74  |   (6)  $false
% 172.42/26.74  | 
% 172.42/26.74  | CLOSE: (6) is inconsistent.
% 172.42/26.74  | 
% 172.42/26.74  End of proof
% 172.42/26.74  
% 172.42/26.74  Sub-proof #323 shows that the following formulas are inconsistent:
% 172.42/26.74  ----------------------------------------------------------------
% 172.42/26.74    (1)  all_56_14 = all_10_1
% 172.42/26.74    (2)  all_56_14 = e3
% 172.42/26.74    (3)   ~ (all_10_1 = e3)
% 172.42/26.74  
% 172.42/26.74  Begin of proof
% 172.42/26.74  | 
% 172.42/26.74  | COMBINE_EQS: (1), (2) imply:
% 172.42/26.74  |   (4)  all_10_1 = e3
% 172.42/26.74  | 
% 172.42/26.74  | SIMP: (4) implies:
% 172.42/26.74  |   (5)  all_10_1 = e3
% 172.42/26.74  | 
% 172.42/26.74  | REDUCE: (3), (5) imply:
% 172.42/26.74  |   (6)  $false
% 172.42/26.74  | 
% 172.42/26.74  | CLOSE: (6) is inconsistent.
% 172.42/26.74  | 
% 172.42/26.74  End of proof
% 172.42/26.74  
% 172.42/26.74  Sub-proof #324 shows that the following formulas are inconsistent:
% 172.42/26.74  ----------------------------------------------------------------
% 172.42/26.74    (1)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.42/26.74           (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.42/26.74           (all_58_6 = e1) &  ~ (all_58_7 = e0))
% 172.42/26.74    (2)  all_58_1 = e2
% 172.42/26.74    (3)  all_58_7 = e0
% 172.42/26.74  
% 172.42/26.74  Begin of proof
% 172.42/26.74  | 
% 172.42/26.74  | BETA: splitting (1) gives:
% 172.42/26.74  | 
% 172.42/26.74  | Case 1:
% 172.42/26.74  | | 
% 172.42/26.74  | |   (4)   ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.42/26.74  | |        (all_58_3 = e0)
% 172.42/26.74  | | 
% 172.42/26.74  | | ALPHA: (4) implies:
% 172.42/26.74  | |   (5)   ~ (all_58_1 = e2)
% 172.42/26.74  | | 
% 172.42/26.74  | | REDUCE: (2), (5) imply:
% 172.42/26.74  | |   (6)  $false
% 172.42/26.74  | | 
% 172.42/26.74  | | CLOSE: (6) is inconsistent.
% 172.42/26.74  | | 
% 172.42/26.74  | Case 2:
% 172.42/26.74  | | 
% 172.42/26.74  | |   (7)   ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~ (all_58_6 = e1) &  ~
% 172.42/26.74  | |        (all_58_7 = e0)
% 172.42/26.74  | | 
% 172.42/26.74  | | ALPHA: (7) implies:
% 172.42/26.74  | |   (8)   ~ (all_58_7 = e0)
% 172.42/26.74  | | 
% 172.42/26.74  | | REDUCE: (3), (8) imply:
% 172.42/26.74  | |   (9)  $false
% 172.42/26.74  | | 
% 172.42/26.74  | | CLOSE: (9) is inconsistent.
% 172.42/26.74  | | 
% 172.42/26.74  | End of split
% 172.42/26.74  | 
% 172.42/26.74  End of proof
% 172.42/26.74  
% 172.42/26.74  Sub-proof #325 shows that the following formulas are inconsistent:
% 172.42/26.74  ----------------------------------------------------------------
% 172.42/26.74    (1)  all_56_5 = all_52_9
% 172.42/26.74    (2)  op(all_6_2, e3) = all_6_1
% 172.42/26.74    (3)  op(e2, e3) = e0
% 172.42/26.74    (4)  all_54_6 = all_52_9
% 172.42/26.74    (5)   ~ (all_52_9 = all_52_13)
% 172.42/26.74    (6)   ~ (all_52_9 = e2)
% 172.42/26.74    (7)  all_56_2 = e0
% 172.42/26.74    (8)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.42/26.74    (9)  all_58_26 = e0
% 172.42/26.74    (10)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.42/26.74    (11)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 172.42/26.74    (12)   ~ (all_6_2 = e1)
% 172.42/26.74    (13)  all_56_3 = e2
% 172.42/26.74    (14)   ~ (all_52_8 = all_52_9)
% 172.42/26.74    (15)   ~ (all_52_8 = all_6_2)
% 172.42/26.74    (16)  all_58_24 = all_52_8
% 172.42/26.74    (17)  all_54_0 = all_6_2
% 172.42/26.74    (18)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 172.42/26.74    (19)  all_58_25 = all_52_9
% 172.42/26.74    (20)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.42/26.74            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.42/26.74    (21)   ~ (all_6_1 = e0)
% 172.42/26.74    (22)  all_56_10 = all_52_13
% 172.42/26.74    (23)   ~ (e1 = e0)
% 172.42/26.74    (24)   ~ (all_52_8 = e0)
% 172.42/26.74    (25)  op(e2, all_52_13) = all_58_7
% 172.42/26.74    (26)  all_54_7 = all_52_13
% 172.42/26.74    (27)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.42/26.74  
% 172.42/26.74  Begin of proof
% 172.42/26.74  | 
% 172.42/26.74  | BETA: splitting (8) gives:
% 172.42/26.74  | 
% 172.42/26.74  | Case 1:
% 172.42/26.74  | | 
% 172.42/26.74  | |   (28)  all_58_26 = e1
% 172.42/26.74  | | 
% 172.42/26.74  | | COMBINE_EQS: (9), (28) imply:
% 172.42/26.74  | |   (29)  e1 = e0
% 172.42/26.74  | | 
% 172.42/26.74  | | REDUCE: (23), (29) imply:
% 172.42/26.74  | |   (30)  $false
% 172.42/26.74  | | 
% 172.42/26.74  | | CLOSE: (30) is inconsistent.
% 172.42/26.74  | | 
% 172.42/26.74  | Case 2:
% 172.42/26.74  | | 
% 172.42/26.74  | |   (31)  all_58_24 = e3 | all_58_25 = e2
% 172.42/26.74  | | 
% 172.42/26.74  | | BETA: splitting (31) gives:
% 172.42/26.74  | | 
% 172.42/26.74  | | Case 1:
% 172.42/26.74  | | | 
% 172.42/26.74  | | |   (32)  all_58_25 = e2
% 172.42/26.74  | | | 
% 172.42/26.74  | | | COMBINE_EQS: (19), (32) imply:
% 172.42/26.74  | | |   (33)  all_52_9 = e2
% 172.42/26.74  | | | 
% 172.42/26.74  | | | REDUCE: (6), (33) imply:
% 172.42/26.74  | | |   (34)  $false
% 172.42/26.74  | | | 
% 172.42/26.74  | | | CLOSE: (34) is inconsistent.
% 172.42/26.74  | | | 
% 172.42/26.74  | | Case 2:
% 172.42/26.74  | | | 
% 172.42/26.74  | | |   (35)  all_58_24 = e3
% 172.42/26.74  | | |   (36)   ~ (all_58_25 = e2)
% 172.42/26.74  | | | 
% 172.42/26.74  | | | COMBINE_EQS: (16), (35) imply:
% 172.42/26.74  | | |   (37)  all_52_8 = e3
% 172.42/26.74  | | | 
% 172.42/26.74  | | | REDUCE: (14), (37) imply:
% 172.42/26.74  | | |   (38)   ~ (all_52_9 = e3)
% 172.42/26.74  | | | 
% 172.42/26.74  | | | SIMP: (38) implies:
% 172.42/26.74  | | |   (39)   ~ (all_52_9 = e3)
% 172.42/26.74  | | | 
% 172.42/26.74  | | | REDUCE: (15), (37) imply:
% 172.42/26.74  | | |   (40)   ~ (all_6_2 = e3)
% 172.42/26.74  | | | 
% 172.42/26.74  | | | SIMP: (40) implies:
% 172.42/26.74  | | |   (41)   ~ (all_6_2 = e3)
% 172.42/26.74  | | | 
% 172.42/26.74  | | | REDUCE: (24), (37) imply:
% 172.42/26.74  | | |   (42)   ~ (e3 = e0)
% 172.42/26.74  | | | 
% 172.42/26.74  | | | BETA: splitting (10) gives:
% 172.42/26.74  | | | 
% 172.42/26.74  | | | Case 1:
% 172.42/26.74  | | | | 
% 172.42/26.74  | | | |   (43)  all_54_0 = e1
% 172.42/26.74  | | | | 
% 172.42/26.74  | | | | REF_CLOSE: (12), (17), (43) are inconsistent by sub-proof #951.
% 172.42/26.74  | | | | 
% 172.42/26.74  | | | Case 2:
% 172.42/26.74  | | | | 
% 172.42/26.74  | | | |   (44)  all_54_0 = e3 | all_54_0 = e2
% 172.42/26.74  | | | | 
% 172.42/26.74  | | | | BETA: splitting (44) gives:
% 172.42/26.74  | | | | 
% 172.42/26.74  | | | | Case 1:
% 172.42/26.74  | | | | | 
% 172.42/26.74  | | | | |   (45)  all_54_0 = e2
% 172.42/26.74  | | | | | 
% 172.42/26.74  | | | | | COMBINE_EQS: (17), (45) imply:
% 172.42/26.74  | | | | |   (46)  all_6_2 = e2
% 172.42/26.74  | | | | | 
% 172.42/26.74  | | | | | SIMP: (46) implies:
% 172.42/26.74  | | | | |   (47)  all_6_2 = e2
% 172.42/26.74  | | | | | 
% 172.42/26.74  | | | | | REDUCE: (41), (47) imply:
% 172.42/26.74  | | | | |   (48)   ~ (e3 = e2)
% 172.42/26.74  | | | | | 
% 172.42/26.74  | | | | | SIMP: (48) implies:
% 172.42/26.74  | | | | |   (49)   ~ (e3 = e2)
% 172.42/26.74  | | | | | 
% 172.42/26.74  | | | | | REDUCE: (2), (47) imply:
% 172.42/26.74  | | | | |   (50)  op(e2, e3) = all_6_1
% 172.42/26.74  | | | | | 
% 172.42/26.74  | | | | | BETA: splitting (18) gives:
% 172.42/26.74  | | | | | 
% 172.42/26.74  | | | | | Case 1:
% 172.42/26.74  | | | | | | 
% 172.42/26.74  | | | | | |   (51)  all_54_6 = e1
% 172.42/26.74  | | | | | | 
% 172.42/26.74  | | | | | | COMBINE_EQS: (4), (51) imply:
% 172.42/26.74  | | | | | |   (52)  all_52_9 = e1
% 172.42/26.74  | | | | | | 
% 172.42/26.74  | | | | | | SIMP: (52) implies:
% 172.42/26.74  | | | | | |   (53)  all_52_9 = e1
% 172.42/26.74  | | | | | | 
% 172.42/26.74  | | | | | | REDUCE: (5), (53) imply:
% 172.42/26.74  | | | | | |   (54)   ~ (all_52_13 = e1)
% 172.42/26.74  | | | | | | 
% 172.42/26.74  | | | | | | SIMP: (54) implies:
% 172.42/26.74  | | | | | |   (55)   ~ (all_52_13 = e1)
% 172.42/26.74  | | | | | | 
% 172.42/26.74  | | | | | | BETA: splitting (27) gives:
% 172.42/26.74  | | | | | | 
% 172.42/26.74  | | | | | | Case 1:
% 172.42/26.74  | | | | | | | 
% 172.42/26.74  | | | | | | |   (56)  all_56_2 = e3
% 172.42/26.74  | | | | | | | 
% 172.42/26.74  | | | | | | | REF_CLOSE: (7), (42), (56) are inconsistent by sub-proof #699.
% 172.42/26.74  | | | | | | | 
% 172.42/26.74  | | | | | | Case 2:
% 172.42/26.74  | | | | | | | 
% 172.42/26.74  | | | | | | |   (57)  all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.42/26.74  | | | | | | | 
% 172.42/26.74  | | | | | | | BETA: splitting (57) gives:
% 172.42/26.74  | | | | | | | 
% 172.42/26.74  | | | | | | | Case 1:
% 172.42/26.74  | | | | | | | | 
% 172.42/26.74  | | | | | | | |   (58)  all_56_3 = e3
% 172.42/26.74  | | | | | | | | 
% 172.42/26.74  | | | | | | | | REF_CLOSE: (13), (49), (58) are inconsistent by sub-proof #432.
% 172.42/26.74  | | | | | | | | 
% 172.42/26.74  | | | | | | | Case 2:
% 172.42/26.74  | | | | | | | | 
% 172.42/26.74  | | | | | | | |   (59)   ~ (all_56_3 = e3)
% 172.42/26.74  | | | | | | | |   (60)  all_56_5 = e3 | all_56_10 = e3
% 172.42/26.74  | | | | | | | | 
% 172.42/26.74  | | | | | | | | BETA: splitting (11) gives:
% 172.42/26.74  | | | | | | | | 
% 172.42/26.74  | | | | | | | | Case 1:
% 172.42/26.74  | | | | | | | | | 
% 172.42/26.74  | | | | | | | | |   (61)  all_54_7 = e1
% 172.42/26.74  | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | REF_CLOSE: (26), (55), (61) are inconsistent by sub-proof
% 172.42/26.74  | | | | | | | | |            #712.
% 172.42/26.74  | | | | | | | | | 
% 172.42/26.74  | | | | | | | | Case 2:
% 172.42/26.74  | | | | | | | | | 
% 172.42/26.74  | | | | | | | | |   (62)  all_54_7 = e3 | all_54_7 = e2
% 172.42/26.74  | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | BETA: splitting (62) gives:
% 172.42/26.74  | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | Case 1:
% 172.42/26.74  | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | |   (63)  all_54_7 = e2
% 172.42/26.74  | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | COMBINE_EQS: (26), (63) imply:
% 172.42/26.74  | | | | | | | | | |   (64)  all_52_13 = e2
% 172.42/26.74  | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | SIMP: (64) implies:
% 172.42/26.74  | | | | | | | | | |   (65)  all_52_13 = e2
% 172.42/26.74  | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | COMBINE_EQS: (22), (65) imply:
% 172.42/26.74  | | | | | | | | | |   (66)  all_56_10 = e2
% 172.42/26.74  | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | REF_CLOSE: (1), (39), (49), (60), (66) are inconsistent by
% 172.42/26.74  | | | | | | | | | |            sub-proof #648.
% 172.42/26.74  | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | Case 2:
% 172.42/26.74  | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | |   (67)  all_54_7 = e3
% 172.42/26.74  | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | COMBINE_EQS: (26), (67) imply:
% 172.42/26.74  | | | | | | | | | |   (68)  all_52_13 = e3
% 172.42/26.74  | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | SIMP: (68) implies:
% 172.42/26.74  | | | | | | | | | |   (69)  all_52_13 = e3
% 172.42/26.74  | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | REDUCE: (25), (69) imply:
% 172.42/26.74  | | | | | | | | | |   (70)  op(e2, e3) = all_58_7
% 172.42/26.74  | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | GROUND_INST: instantiating (20) with e0, all_58_7, e3, e2,
% 172.42/26.74  | | | | | | | | | |              simplifying with (3), (70) gives:
% 172.42/26.74  | | | | | | | | | |   (71)  all_58_7 = e0
% 172.42/26.74  | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | GROUND_INST: instantiating (20) with all_6_1, all_58_7, e3, e2,
% 172.42/26.74  | | | | | | | | | |              simplifying with (50), (70) gives:
% 172.42/26.74  | | | | | | | | | |   (72)  all_58_7 = all_6_1
% 172.42/26.74  | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | COMBINE_EQS: (71), (72) imply:
% 172.42/26.74  | | | | | | | | | |   (73)  all_6_1 = e0
% 172.42/26.74  | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | REDUCE: (21), (73) imply:
% 172.42/26.74  | | | | | | | | | |   (74)  $false
% 172.42/26.74  | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | | CLOSE: (74) is inconsistent.
% 172.42/26.74  | | | | | | | | | | 
% 172.42/26.74  | | | | | | | | | End of split
% 172.42/26.74  | | | | | | | | | 
% 172.42/26.74  | | | | | | | | End of split
% 172.42/26.74  | | | | | | | | 
% 172.42/26.74  | | | | | | | End of split
% 172.42/26.74  | | | | | | | 
% 172.42/26.74  | | | | | | End of split
% 172.42/26.74  | | | | | | 
% 172.42/26.74  | | | | | Case 2:
% 172.42/26.74  | | | | | | 
% 172.42/26.74  | | | | | |   (75)  all_54_6 = e3 | all_54_6 = e2
% 172.42/26.74  | | | | | | 
% 172.42/26.74  | | | | | | REF_CLOSE: (4), (6), (39), (75) are inconsistent by sub-proof #884.
% 172.42/26.74  | | | | | | 
% 172.42/26.74  | | | | | End of split
% 172.42/26.74  | | | | | 
% 172.42/26.74  | | | | Case 2:
% 172.42/26.74  | | | | | 
% 172.42/26.74  | | | | |   (76)  all_54_0 = e3
% 172.42/26.74  | | | | | 
% 172.42/26.74  | | | | | REF_CLOSE: (17), (41), (76) are inconsistent by sub-proof #945.
% 172.42/26.74  | | | | | 
% 172.42/26.74  | | | | End of split
% 172.42/26.74  | | | | 
% 172.42/26.74  | | | End of split
% 172.42/26.74  | | | 
% 172.42/26.74  | | End of split
% 172.42/26.74  | | 
% 172.42/26.74  | End of split
% 172.42/26.74  | 
% 172.42/26.74  End of proof
% 172.42/26.74  
% 172.42/26.74  Sub-proof #326 shows that the following formulas are inconsistent:
% 172.42/26.74  ----------------------------------------------------------------
% 172.42/26.74    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.42/26.74    (2)  op(e3, all_52_12) = all_58_3
% 172.42/26.74    (3)   ~ (all_52_6 = all_4_2)
% 172.42/26.74    (4)  all_56_0 = e3
% 172.42/26.74    (5)   ~ (all_4_1 = e0)
% 172.42/26.74    (6)  op(all_4_2, e2) = all_4_1
% 172.42/26.74    (7)  all_58_20 = e0
% 172.42/26.74    (8)   ~ (all_52_8 = e2)
% 172.42/26.74    (9)  all_56_9 = all_52_12
% 172.42/26.74    (10)   ~ (e3 = e2)
% 172.42/26.74    (11)  all_56_1 = e0
% 172.42/26.74    (12)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.42/26.74    (13)   ~ (e3 = e0)
% 172.42/26.74    (14)  op(e3, e2) = e0
% 172.42/26.74    (15)  all_56_4 = all_52_8
% 172.42/26.74    (16)  all_58_22 = all_52_6
% 172.42/26.74    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.42/26.74            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.42/26.74    (18)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 172.42/26.74    (19)  all_58_21 = all_4_2
% 172.42/26.74    (20)   ~ (e2 = e0)
% 172.42/26.74    (21)  all_54_5 = all_4_2
% 172.42/26.74    (22)   ~ (all_4_2 = e2)
% 172.42/26.74  
% 172.42/26.74  Begin of proof
% 172.42/26.74  | 
% 172.42/26.74  | BETA: splitting (12) gives:
% 172.42/26.74  | 
% 172.42/26.74  | Case 1:
% 172.42/26.74  | | 
% 172.42/26.74  | |   (23)  all_56_0 = e2
% 172.42/26.74  | | 
% 172.42/26.74  | | REF_CLOSE: (4), (10), (23) are inconsistent by sub-proof #735.
% 172.42/26.74  | | 
% 172.42/26.74  | Case 2:
% 172.42/26.74  | | 
% 172.42/26.74  | |   (24)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.42/26.74  | | 
% 172.42/26.74  | | BETA: splitting (24) gives:
% 172.42/26.74  | | 
% 172.42/26.74  | | Case 1:
% 172.42/26.74  | | | 
% 172.42/26.74  | | |   (25)  all_56_1 = e2
% 172.42/26.74  | | | 
% 172.42/26.74  | | | COMBINE_EQS: (11), (25) imply:
% 172.42/26.74  | | |   (26)  e2 = e0
% 172.42/26.74  | | | 
% 172.42/26.74  | | | REDUCE: (20), (26) imply:
% 172.42/26.74  | | |   (27)  $false
% 172.42/26.74  | | | 
% 172.42/26.74  | | | CLOSE: (27) is inconsistent.
% 172.42/26.74  | | | 
% 172.42/26.74  | | Case 2:
% 172.42/26.74  | | | 
% 172.42/26.74  | | |   (28)  all_56_4 = e2 | all_56_9 = e2
% 172.42/26.74  | | | 
% 172.42/26.74  | | | BETA: splitting (28) gives:
% 172.42/26.74  | | | 
% 172.42/26.74  | | | Case 1:
% 172.42/26.74  | | | | 
% 172.42/26.74  | | | |   (29)  all_56_4 = e2
% 172.42/26.74  | | | | 
% 172.42/26.74  | | | | COMBINE_EQS: (15), (29) imply:
% 172.42/26.74  | | | |   (30)  all_52_8 = e2
% 172.42/26.74  | | | | 
% 172.42/26.74  | | | | REDUCE: (8), (30) imply:
% 172.42/26.74  | | | |   (31)  $false
% 172.42/26.74  | | | | 
% 172.42/26.74  | | | | CLOSE: (31) is inconsistent.
% 172.42/26.74  | | | | 
% 172.42/26.74  | | | Case 2:
% 172.42/26.74  | | | | 
% 172.42/26.74  | | | |   (32)  all_56_9 = e2
% 172.42/26.74  | | | | 
% 172.42/26.74  | | | | COMBINE_EQS: (9), (32) imply:
% 172.42/26.74  | | | |   (33)  all_52_12 = e2
% 172.42/26.74  | | | | 
% 172.42/26.74  | | | | REDUCE: (2), (33) imply:
% 172.42/26.74  | | | |   (34)  op(e3, e2) = all_58_3
% 172.42/26.74  | | | | 
% 172.42/26.74  | | | | REF_CLOSE: (1), (3), (5), (6), (7), (13), (14), (16), (17), (18), (19),
% 172.42/26.74  | | | |            (21), (22), (34) are inconsistent by sub-proof #973.
% 172.42/26.74  | | | | 
% 172.42/26.74  | | | End of split
% 172.42/26.74  | | | 
% 172.42/26.74  | | End of split
% 172.42/26.74  | | 
% 172.42/26.74  | End of split
% 172.42/26.74  | 
% 172.42/26.74  End of proof
% 172.42/26.74  
% 172.42/26.74  Sub-proof #327 shows that the following formulas are inconsistent:
% 172.42/26.74  ----------------------------------------------------------------
% 172.42/26.74    (1)   ~ (all_52_12 = all_14_2)
% 172.42/26.74    (2)  op(e0, e0) = all_14_2
% 172.42/26.74    (3)  all_56_1 = all_52_4
% 172.42/26.74    (4)  all_56_12 = all_52_3
% 172.42/26.74    (5)  all_56_15 = e0 | ((all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 172.42/26.74           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0))
% 172.42/26.74    (6)  op(e1, e3) = all_52_2
% 172.42/26.74    (7)  op(e3, all_52_12) = all_58_3
% 172.42/26.74    (8)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 172.42/26.74    (9)  op(e1, all_52_14) = all_58_11
% 172.42/26.74    (10)   ~ (all_10_2 = e0)
% 172.42/26.74    (11)   ~ (all_52_8 = all_52_12)
% 172.42/26.74    (12)   ~ (e3 = e1)
% 172.42/26.74    (13)  all_58_23 = all_52_7
% 172.42/26.74    (14)   ~ (all_52_2 = all_6_2)
% 172.42/26.74    (15)   ~ (all_52_3 = all_14_2)
% 172.42/26.74    (16)   ~ (all_52_4 = all_4_2)
% 172.42/26.74    (17)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.42/26.74    (18)  all_24_2 = all_4_2
% 172.42/26.74    (19)  all_54_3 = all_52_12
% 172.42/26.74    (20)  all_56_5 = all_52_9
% 172.42/26.74    (21)   ~ (all_52_3 = all_52_11)
% 172.42/26.74    (22)   ~ (all_52_12 = all_6_2)
% 172.42/26.74    (23)  op(e2, e0) = all_52_13
% 172.42/26.74    (24)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 172.42/26.74    (25)   ~ (all_52_6 = all_4_2)
% 172.42/26.74    (26)  op(e3, all_6_2) = all_58_0
% 172.42/26.74    (27)  op(e1, e0) = all_52_14
% 172.42/26.74    (28)  all_56_15 = all_14_2
% 172.42/26.74    (29)  op(e0, e2) = all_52_7
% 172.42/26.74    (30)  all_54_1 = all_52_4
% 172.42/26.74    (31)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 172.42/26.74    (32)   ~ (all_52_9 = all_4_2)
% 172.42/26.74    (33)   ~ (all_52_3 = all_52_7)
% 172.42/26.74    (34)  all_54_6 = all_52_9
% 172.42/26.74    (35)  all_56_14 = all_52_11
% 172.42/26.74    (36)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 172.42/26.74    (37)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 172.42/26.74    (38)   ~ (all_52_13 = all_4_2)
% 172.42/26.74    (39)  all_12_2 = all_6_2
% 172.42/26.74    (40)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.42/26.74    (41)  op(e0, all_52_3) = all_58_12
% 172.42/26.74    (42)  all_56_8 = all_10_2
% 172.42/26.74    (43)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.42/26.74    (44)  all_26_0 = all_6_0
% 172.42/26.74    (45)  all_58_26 = all_10_2
% 172.42/26.74    (46)   ~ (all_52_4 = all_52_6)
% 172.42/26.74    (47)  all_58_31 = all_14_2
% 172.42/26.74    (48)   ~ (all_52_11 = all_10_2)
% 172.42/26.74    (49)   ~ (all_52_9 = all_52_13)
% 172.42/26.74    (50)   ~ (all_52_3 = all_6_2)
% 172.42/26.74    (51)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.42/26.74    (52)   ~ (all_52_1 = all_6_2)
% 172.42/26.74    (53)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 172.42/26.74    (54)  all_54_2 = all_52_8
% 172.42/26.74    (55)  all_56_11 = all_52_14
% 172.42/26.74    (56)   ~ (all_52_6 = all_52_7)
% 172.42/26.74    (57)  all_56_0 = all_6_2
% 172.42/26.74    (58)   ~ (all_52_9 = all_10_2)
% 172.42/26.74    (59)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.42/26.74    (60)  all_58_30 = all_52_14
% 172.42/26.74    (61)  all_58_27 = all_52_11
% 172.42/26.74    (62)  all_54_14 = all_52_11
% 172.42/26.74    (63)  op(all_4_2, e2) = all_4_1
% 172.42/26.74    (64)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.42/26.74    (65)  all_58_17 = all_52_1
% 172.42/26.74    (66)  op(e2, all_4_2) = all_58_5
% 172.42/26.74    (67)  all_58_19 = all_52_3
% 172.42/26.74    (68)  all_56_9 = all_52_12
% 172.42/26.74    (69)   ~ (all_40_0 = e3) |  ~ (all_40_1 = e1) |  ~ (all_40_2 = e0)
% 172.42/26.74    (70)   ~ (all_52_2 = all_52_6)
% 172.42/26.74    (71)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 172.42/26.74    (72)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 172.42/26.74    (73)   ~ (e3 = e2)
% 172.42/26.74    (74)  op(e3, all_52_8) = all_58_2
% 172.42/26.74    (75)   ~ (all_52_4 = all_52_7)
% 172.42/26.74    (76)   ~ (e2 = e1)
% 172.42/26.74    (77)   ~ (all_52_6 = all_10_2)
% 172.42/26.74    (78)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 172.42/26.74    (79)  op(e0, all_52_11) = all_58_14
% 172.42/26.74    (80)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.42/26.74    (81)  op(e0, e1) = all_52_11
% 172.42/26.74    (82)   ~ (all_52_7 = all_14_2)
% 172.42/26.74    (83)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.42/26.74    (84)  all_26_2 = all_6_2
% 172.42/26.74    (85)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 172.42/26.74    (86)   ~ (all_52_13 = all_14_2)
% 172.42/26.74    (87)   ~ (all_52_1 = all_4_2)
% 172.42/26.74    (88)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.42/26.74    (89)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.42/26.74    (90)  all_54_9 = all_52_6
% 172.42/26.74    (91)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.42/26.74    (92)   ~ (all_52_13 = all_52_14)
% 172.42/26.74    (93)  op(e2, e3) = all_52_1
% 172.42/26.74    (94)  all_58_18 = all_52_2
% 172.42/26.74    (95)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.42/26.74    (96)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.42/26.74    (97)  all_58_16 = all_6_2
% 172.42/26.74    (98)  all_56_13 = all_52_7
% 172.42/26.74    (99)  op(e0, e3) = all_52_3
% 172.42/26.74    (100)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 172.42/26.74    (101)   ~ (all_52_8 = all_52_9)
% 172.42/26.74    (102)   ~ (all_52_4 = all_6_2)
% 172.42/26.74    (103)  op(all_4_1, all_4_2) = all_4_0
% 172.42/26.74    (104)  all_40_2 = all_4_2
% 172.42/26.74    (105)  all_56_2 = all_52_1
% 172.42/26.74    (106)   ~ (all_12_0 = e2) |  ~ (all_12_2 = e1)
% 172.42/26.74    (107)  all_14_0 = e1
% 172.42/26.74    (108)   ~ (e3 = e0)
% 172.42/26.74    (109)  op(e3, e0) = all_52_12
% 172.42/26.74    (110)  all_58_29 = all_52_13
% 172.42/26.74    (111)   ~ (all_52_1 = all_52_2)
% 172.42/26.74    (112)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 172.42/26.74    (113)   ~ (all_52_6 = all_52_14)
% 172.42/26.74    (114)   ~ (all_52_7 = all_4_2)
% 172.42/26.74    (115)   ~ (all_52_8 = all_10_2)
% 172.42/26.74    (116)  all_56_4 = all_52_8
% 172.42/26.74    (117)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.42/26.74    (118)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.42/26.74    (119)  op(e1, all_52_2) = all_58_8
% 172.42/26.74    (120)  all_26_1 = e0
% 172.42/26.74    (121)  op(all_14_1, all_14_2) = all_14_0
% 172.42/26.74    (122)   ~ (all_52_1 = all_52_13)
% 172.42/26.74    (123)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.42/26.74    (124)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 172.42/26.74    (125)  all_58_20 = all_52_4
% 172.42/26.74    (126)  all_54_10 = all_10_2
% 172.42/26.74    (127)  all_54_13 = all_52_7
% 172.42/26.74    (128)  all_54_15 = all_14_2
% 172.42/26.74    (129)   ~ (all_52_7 = all_52_11)
% 172.42/26.74    (130)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.42/26.74    (131)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 172.42/26.74    (132)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 172.42/26.74    (133)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.42/26.74    (134)   ~ (all_52_8 = all_52_11)
% 172.42/26.74    (135)   ~ (all_52_8 = all_6_2)
% 172.42/26.74    (136)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 172.42/26.74    (137)  all_56_6 = all_52_2
% 172.42/26.74    (138)   ~ (all_52_1 = all_52_9)
% 172.42/26.74    (139)  op(e3, e3) = all_6_2
% 172.42/26.74    (140)  all_58_24 = all_52_8
% 172.42/26.74    (141)   ~ (all_52_12 = all_52_14)
% 172.42/26.74    (142)   ~ (all_52_9 = all_52_11)
% 172.42/26.74    (143)  all_58_22 = all_52_6
% 172.42/26.74    (144)  op(all_14_2, e0) = all_14_1
% 172.42/26.74    (145)   ~ (all_52_4 = all_52_12)
% 172.42/26.74    (146)  all_56_3 = all_4_2
% 172.42/26.74    (147)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.42/26.74    (148)  all_54_0 = all_6_2
% 172.42/26.74    (149)  all_40_0 = all_4_0
% 172.42/26.74    (150)   ~ (all_52_14 = all_10_2)
% 172.42/26.74    (151)   ~ (all_52_2 = all_52_3)
% 172.42/26.74    (152)   ~ (all_52_4 = all_52_8)
% 172.42/26.74    (153)   ~ (all_52_14 = all_14_2)
% 172.42/26.74    (154)  all_58_25 = all_52_9
% 172.42/26.74    (155)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 172.42/26.74    (156)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.42/26.74             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.42/26.74    (157)  all_54_12 = all_52_3
% 172.42/26.74    (158)   ~ (all_52_2 = all_52_14)
% 172.42/26.74    (159)  op(e0, all_14_2) = all_58_15
% 172.42/26.74    (160)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3) |  ~ (all_24_2 = e0)
% 172.42/26.75    (161)  all_58_21 = all_4_2
% 172.42/26.75    (162)  all_40_1 = all_4_1
% 172.42/26.75    (163)  all_56_10 = all_52_13
% 172.42/26.75    (164)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.42/26.75    (165)   ~ (e2 = e0)
% 172.42/26.75    (166)   ~ (all_52_1 = all_52_3)
% 172.42/26.75    (167)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 172.42/26.75    (168)  all_58_28 = all_52_12
% 172.42/26.75    (169)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.42/26.75    (170)   ~ (e1 = e0)
% 172.42/26.75    (171)  op(all_6_2, e3) = e0
% 172.42/26.75    (172)  all_56_7 = all_52_6
% 172.42/26.75    (173)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.42/26.75             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.42/26.75             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.42/26.75             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.42/26.75             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.42/26.75             (all_58_15 = e0))
% 172.42/26.75    (174)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 172.42/26.75    (175)   ~ (all_26_0 = e1) |  ~ (all_26_1 = e0) |  ~ (all_26_2 = e2)
% 172.42/26.75    (176)  all_54_5 = all_4_2
% 172.42/26.75    (177)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.42/26.75    (178)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.42/26.75           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.42/26.75           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.42/26.75           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.42/26.75           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.42/26.75           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.42/26.75           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.42/26.75           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.42/26.75           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.42/26.75           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.42/26.75             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.42/26.75             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.42/26.75             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.42/26.75             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.42/26.75             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.42/26.75             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.42/26.75             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.42/26.75             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.42/26.75             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.42/26.75             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.42/26.75             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.42/26.75             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.42/26.75             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.42/26.75             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.42/26.75             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.42/26.75             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.42/26.75           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.42/26.75           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.42/26.75           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.42/26.75             all_58_30 = e0 & e1 = e0)
% 172.42/26.75    (179)  all_54_7 = all_52_13
% 172.42/26.75    (180)   ~ (all_52_2 = all_10_2)
% 172.42/26.75    (181)  all_56_0 = e3 | all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3
% 172.42/26.75    (182)  op(e0, all_6_2) = all_6_0
% 172.42/26.75    (183)  all_54_11 = all_52_14
% 172.42/26.75    (184)  all_12_0 = all_6_0
% 172.42/26.75    (185)   ~ (all_52_12 = all_52_13)
% 172.42/26.75  
% 172.42/26.75  Begin of proof
% 172.42/26.75  | 
% 172.42/26.75  | REDUCE: (107), (121) imply:
% 172.42/26.75  |   (186)  op(all_14_1, all_14_2) = e1
% 172.42/26.75  | 
% 172.42/26.75  | BETA: splitting (160) gives:
% 172.42/26.75  | 
% 172.42/26.75  | Case 1:
% 172.42/26.75  | | 
% 172.42/26.75  | |   (187)   ~ (all_24_2 = e0)
% 172.42/26.75  | | 
% 172.42/26.75  | | REDUCE: (18), (187) imply:
% 172.42/26.75  | |   (188)   ~ (all_4_2 = e0)
% 172.42/26.75  | | 
% 172.42/26.75  | | BETA: splitting (175) gives:
% 172.42/26.75  | | 
% 172.42/26.75  | | Case 1:
% 172.42/26.75  | | | 
% 172.42/26.75  | | |   (189)   ~ (all_26_1 = e0)
% 172.42/26.75  | | | 
% 172.42/26.75  | | | REDUCE: (120), (189) imply:
% 172.42/26.75  | | |   (190)  $false
% 172.42/26.75  | | | 
% 172.42/26.75  | | | CLOSE: (190) is inconsistent.
% 172.42/26.75  | | | 
% 172.42/26.75  | | Case 2:
% 172.42/26.75  | | | 
% 172.50/26.75  | | |   (191)   ~ (all_26_0 = e1) |  ~ (all_26_2 = e2)
% 172.50/26.75  | | | 
% 172.50/26.75  | | | BETA: splitting (5) gives:
% 172.50/26.75  | | | 
% 172.50/26.75  | | | Case 1:
% 172.50/26.75  | | | | 
% 172.50/26.75  | | | |   (192)  all_56_15 = e0
% 172.50/26.75  | | | | 
% 172.50/26.75  | | | | REF_CLOSE: (2), (28), (144), (156), (159), (170), (186), (192) are
% 172.50/26.75  | | | |            inconsistent by sub-proof #400.
% 172.50/26.75  | | | | 
% 172.50/26.75  | | | Case 2:
% 172.50/26.75  | | | | 
% 172.50/26.75  | | | |   (193)   ~ (all_56_15 = e0)
% 172.50/26.75  | | | |   (194)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) & (all_56_12
% 172.50/26.75  | | | |            = e0 | all_56_13 = e0 | all_56_14 = e0)
% 172.50/26.75  | | | | 
% 172.50/26.75  | | | | ALPHA: (194) implies:
% 172.50/26.75  | | | |   (195)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 172.50/26.75  | | | |   (196)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 172.50/26.75  | | | | 
% 172.50/26.75  | | | | REDUCE: (28), (193) imply:
% 172.50/26.75  | | | |   (197)   ~ (all_14_2 = e0)
% 172.50/26.75  | | | | 
% 172.50/26.75  | | | | REF_CLOSE: (1), (3), (4), (6), (8), (10), (12), (13), (14), (15), (16),
% 172.50/26.75  | | | |            (17), (20), (21), (22), (24), (25), (26), (28), (29), (30),
% 172.50/26.75  | | | |            (32), (33), (34), (35), (36), (38), (39), (40), (42), (43),
% 172.50/26.75  | | | |            (44), (45), (46), (47), (48), (49), (50), (51), (52), (55),
% 172.50/26.75  | | | |            (56), (57), (59), (60), (61), (62), (64), (65), (67), (68),
% 172.50/26.75  | | | |            (70), (71), (73), (75), (76), (77), (78), (80), (81), (82),
% 172.50/26.75  | | | |            (83), (84), (85), (86), (87), (88), (89), (90), (91), (92),
% 172.50/26.75  | | | |            (93), (94), (95), (96), (97), (98), (99), (100), (101),
% 172.50/26.75  | | | |            (102), (105), (106), (108), (110), (111), (112), (113),
% 172.50/26.75  | | | |            (114), (115), (116), (117), (118), (122), (123), (124),
% 172.50/26.75  | | | |            (125), (127), (128), (129), (130), (132), (133), (134),
% 172.50/26.75  | | | |            (135), (136), (137), (138), (139), (140), (141), (142),
% 172.50/26.75  | | | |            (143), (145), (146), (147), (148), (150), (151), (152),
% 172.50/26.75  | | | |            (153), (154), (155), (156), (157), (158), (159), (161),
% 172.50/26.75  | | | |            (163), (164), (165), (166), (167), (168), (169), (170),
% 172.50/26.75  | | | |            (171), (172), (174), (176), (177), (178), (179), (180),
% 172.50/26.75  | | | |            (181), (182), (184), (185), (188), (191), (195), (196), (197)
% 172.50/26.75  | | | |            are inconsistent by sub-proof #336.
% 172.50/26.75  | | | | 
% 172.50/26.75  | | | End of split
% 172.50/26.75  | | | 
% 172.50/26.75  | | End of split
% 172.50/26.75  | | 
% 172.50/26.75  | Case 2:
% 172.50/26.75  | | 
% 172.50/26.75  | |   (198)  all_24_2 = e0
% 172.50/26.75  | | 
% 172.50/26.75  | | COMBINE_EQS: (18), (198) imply:
% 172.50/26.75  | |   (199)  all_4_2 = e0
% 172.50/26.75  | | 
% 172.50/26.75  | | COMBINE_EQS: (104), (199) imply:
% 172.50/26.75  | |   (200)  all_40_2 = e0
% 172.50/26.75  | | 
% 172.50/26.75  | | COMBINE_EQS: (146), (199) imply:
% 172.50/26.75  | |   (201)  all_56_3 = e0
% 172.50/26.75  | | 
% 172.50/26.75  | | COMBINE_EQS: (161), (199) imply:
% 172.50/26.75  | |   (202)  all_58_21 = e0
% 172.50/26.75  | | 
% 172.50/26.75  | | REDUCE: (87), (199) imply:
% 172.50/26.75  | |   (203)   ~ (all_52_1 = e0)
% 172.50/26.75  | | 
% 172.50/26.75  | | REDUCE: (16), (199) imply:
% 172.50/26.75  | |   (204)   ~ (all_52_4 = e0)
% 172.50/26.75  | | 
% 172.50/26.75  | | REDUCE: (25), (199) imply:
% 172.50/26.75  | |   (205)   ~ (all_52_6 = e0)
% 172.50/26.75  | | 
% 172.50/26.75  | | REDUCE: (114), (199) imply:
% 172.50/26.75  | |   (206)   ~ (all_52_7 = e0)
% 172.50/26.75  | | 
% 172.50/26.75  | | REDUCE: (32), (199) imply:
% 172.50/26.75  | |   (207)   ~ (all_52_9 = e0)
% 172.50/26.75  | | 
% 172.50/26.75  | | REDUCE: (103), (199) imply:
% 172.50/26.75  | |   (208)  op(all_4_1, e0) = all_4_0
% 172.50/26.75  | | 
% 172.50/26.75  | | REDUCE: (63), (199) imply:
% 172.50/26.75  | |   (209)  op(e0, e2) = all_4_1
% 172.50/26.75  | | 
% 172.50/26.75  | | REDUCE: (66), (199) imply:
% 172.50/26.75  | |   (210)  op(e2, e0) = all_58_5
% 172.50/26.75  | | 
% 172.50/26.75  | | GROUND_INST: instantiating (156) with all_52_7, all_4_1, e2, e0, simplifying
% 172.50/26.75  | |              with (29), (209) gives:
% 172.50/26.75  | |   (211)  all_52_7 = all_4_1
% 172.50/26.75  | | 
% 172.50/26.75  | | GROUND_INST: instantiating (156) with all_52_13, all_58_5, e0, e2,
% 172.50/26.75  | |              simplifying with (23), (210) gives:
% 172.50/26.75  | |   (212)  all_58_5 = all_52_13
% 172.50/26.75  | | 
% 172.50/26.75  | | COMBINE_EQS: (98), (211) imply:
% 172.50/26.75  | |   (213)  all_56_13 = all_4_1
% 172.50/26.75  | | 
% 172.50/26.75  | | COMBINE_EQS: (13), (211) imply:
% 172.50/26.75  | |   (214)  all_58_23 = all_4_1
% 172.50/26.75  | | 
% 172.50/26.75  | | REDUCE: (33), (211) imply:
% 172.50/26.75  | |   (215)   ~ (all_52_3 = all_4_1)
% 172.50/26.75  | | 
% 172.50/26.75  | | REDUCE: (75), (211) imply:
% 172.50/26.75  | |   (216)   ~ (all_52_4 = all_4_1)
% 172.50/26.75  | | 
% 172.50/26.75  | | REDUCE: (56), (211) imply:
% 172.50/26.75  | |   (217)   ~ (all_52_6 = all_4_1)
% 172.50/26.75  | | 
% 172.50/26.75  | | REDUCE: (129), (211) imply:
% 172.50/26.75  | |   (218)   ~ (all_52_11 = all_4_1)
% 172.50/26.75  | | 
% 172.50/26.75  | | SIMP: (218) implies:
% 172.50/26.75  | |   (219)   ~ (all_52_11 = all_4_1)
% 172.50/26.75  | | 
% 172.50/26.75  | | REDUCE: (206), (211) imply:
% 172.50/26.75  | |   (220)   ~ (all_4_1 = e0)
% 172.50/26.75  | | 
% 172.50/26.75  | | BETA: splitting (69) gives:
% 172.50/26.75  | | 
% 172.50/26.75  | | Case 1:
% 172.50/26.75  | | | 
% 172.50/26.75  | | |   (221)   ~ (all_40_2 = e0)
% 172.50/26.75  | | | 
% 172.50/26.75  | | | REDUCE: (200), (221) imply:
% 172.50/26.75  | | |   (222)  $false
% 172.50/26.75  | | | 
% 172.50/26.75  | | | CLOSE: (222) is inconsistent.
% 172.50/26.75  | | | 
% 172.50/26.75  | | Case 2:
% 172.50/26.75  | | | 
% 172.50/26.75  | | |   (223)   ~ (all_40_0 = e3) |  ~ (all_40_1 = e1)
% 172.50/26.75  | | | 
% 172.50/26.75  | | | BETA: splitting (5) gives:
% 172.50/26.75  | | | 
% 172.50/26.75  | | | Case 1:
% 172.50/26.75  | | | | 
% 172.50/26.75  | | | |   (224)  all_56_15 = e0
% 172.50/26.75  | | | | 
% 172.50/26.75  | | | | REF_CLOSE: (2), (28), (144), (156), (159), (170), (186), (224) are
% 172.50/26.75  | | | |            inconsistent by sub-proof #400.
% 172.50/26.75  | | | | 
% 172.50/26.75  | | | Case 2:
% 172.50/26.75  | | | | 
% 172.50/26.75  | | | |   (225)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) & (all_56_12
% 172.50/26.75  | | | |            = e0 | all_56_13 = e0 | all_56_14 = e0)
% 172.50/26.75  | | | | 
% 172.50/26.75  | | | | ALPHA: (225) implies:
% 172.50/26.75  | | | |   (226)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 172.50/26.75  | | | | 
% 172.50/26.75  | | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12),
% 172.50/26.75  | | | |            (14), (15), (17), (19), (20), (21), (22), (27), (28), (31),
% 172.50/26.75  | | | |            (34), (35), (36), (37), (40), (41), (42), (43), (45), (46),
% 172.50/26.75  | | | |            (47), (48), (49), (50), (51), (52), (53), (54), (55), (57),
% 172.50/26.75  | | | |            (58), (59), (60), (61), (65), (67), (68), (70), (72), (73),
% 172.50/26.75  | | | |            (74), (76), (77), (79), (80), (85), (88), (91), (92), (94),
% 172.50/26.75  | | | |            (95), (97), (99), (100), (101), (102), (105), (108), (109),
% 172.50/26.75  | | | |            (110), (111), (113), (115), (116), (119), (122), (124),
% 172.50/26.75  | | | |            (125), (126), (130), (131), (132), (133), (134), (135),
% 172.50/26.75  | | | |            (136), (137), (138), (140), (141), (142), (143), (145),
% 172.50/26.75  | | | |            (147), (148), (149), (150), (151), (152), (153), (154),
% 172.50/26.75  | | | |            (156), (157), (158), (162), (163), (164), (165), (166),
% 172.50/26.75  | | | |            (168), (169), (170), (171), (172), (173), (174), (177),
% 172.50/26.75  | | | |            (178), (179), (180), (183), (185), (201), (202), (203),
% 172.50/26.75  | | | |            (204), (205), (207), (208), (212), (213), (214), (215),
% 172.50/26.75  | | | |            (216), (217), (219), (220), (223), (226) are inconsistent by
% 172.50/26.75  | | | |            sub-proof #328.
% 172.50/26.75  | | | | 
% 172.50/26.75  | | | End of split
% 172.50/26.75  | | | 
% 172.50/26.75  | | End of split
% 172.50/26.75  | | 
% 172.50/26.75  | End of split
% 172.50/26.75  | 
% 172.50/26.75  End of proof
% 172.50/26.75  
% 172.50/26.75  Sub-proof #328 shows that the following formulas are inconsistent:
% 172.50/26.75  ----------------------------------------------------------------
% 172.50/26.75    (1)   ~ (all_52_12 = all_14_2)
% 172.50/26.75    (2)  op(e0, e0) = all_14_2
% 172.50/26.75    (3)  all_56_1 = all_52_4
% 172.50/26.75    (4)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 172.50/26.75    (5)  all_56_12 = all_52_3
% 172.50/26.75    (6)  op(e1, e3) = all_52_2
% 172.50/26.75    (7)  op(e3, all_52_12) = all_58_3
% 172.50/26.75    (8)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 172.50/26.75    (9)  op(e1, all_52_14) = all_58_11
% 172.50/26.75    (10)   ~ (all_10_2 = e0)
% 172.50/26.75    (11)   ~ (all_52_8 = all_52_12)
% 172.50/26.75    (12)   ~ (e3 = e1)
% 172.50/26.75    (13)   ~ (all_52_2 = all_6_2)
% 172.50/26.75    (14)   ~ (all_52_3 = all_14_2)
% 172.50/26.75    (15)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.50/26.75    (16)  all_54_3 = all_52_12
% 172.50/26.75    (17)  all_56_5 = all_52_9
% 172.50/26.75    (18)   ~ (all_52_3 = all_52_11)
% 172.50/26.75    (19)   ~ (all_52_12 = all_6_2)
% 172.50/26.75    (20)  all_58_23 = all_4_1
% 172.50/26.75    (21)  op(e1, e0) = all_52_14
% 172.50/26.75    (22)  all_56_15 = all_14_2
% 172.50/26.75    (23)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 172.50/26.75    (24)  all_56_13 = all_4_1
% 172.50/26.75    (25)  all_54_6 = all_52_9
% 172.50/26.75    (26)  all_56_14 = all_52_11
% 172.50/26.75    (27)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 172.50/26.75    (28)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 172.50/26.75    (29)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.50/26.75    (30)  op(e0, all_52_3) = all_58_12
% 172.50/26.75    (31)  all_56_8 = all_10_2
% 172.50/26.75    (32)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.50/26.75    (33)   ~ (all_52_9 = e0)
% 172.50/26.75    (34)  all_58_26 = all_10_2
% 172.50/26.75    (35)   ~ (all_52_4 = all_52_6)
% 172.50/26.75    (36)  all_58_31 = all_14_2
% 172.50/26.75    (37)   ~ (all_52_11 = all_10_2)
% 172.50/26.75    (38)   ~ (all_52_9 = all_52_13)
% 172.50/26.75    (39)   ~ (all_52_3 = all_6_2)
% 172.50/26.75    (40)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.50/26.75    (41)   ~ (all_52_4 = e0)
% 172.50/26.75    (42)   ~ (all_52_1 = all_6_2)
% 172.50/26.75    (43)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 172.50/26.75    (44)  all_54_2 = all_52_8
% 172.50/26.75    (45)  all_56_11 = all_52_14
% 172.50/26.75    (46)   ~ (all_4_1 = e0)
% 172.50/26.75    (47)  all_56_0 = all_6_2
% 172.50/26.75    (48)   ~ (all_52_9 = all_10_2)
% 172.50/26.75    (49)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.50/26.75    (50)  all_58_30 = all_52_14
% 172.50/26.75    (51)  all_58_27 = all_52_11
% 172.50/26.75    (52)   ~ (all_52_3 = all_4_1)
% 172.50/26.75    (53)  all_58_17 = all_52_1
% 172.50/26.75    (54)  all_58_21 = e0
% 172.50/26.75    (55)  all_58_19 = all_52_3
% 172.50/26.75    (56)  all_56_9 = all_52_12
% 172.50/26.75    (57)   ~ (all_52_2 = all_52_6)
% 172.50/26.75    (58)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 172.50/26.75    (59)   ~ (all_52_4 = all_4_1)
% 172.50/26.75    (60)   ~ (e3 = e2)
% 172.50/26.75    (61)  op(e3, all_52_8) = all_58_2
% 172.50/26.75    (62)   ~ (e2 = e1)
% 172.50/26.75    (63)   ~ (all_52_6 = all_10_2)
% 172.50/26.75    (64)  op(e0, all_52_11) = all_58_14
% 172.50/26.75    (65)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.50/26.75    (66)   ~ (all_52_11 = all_4_1)
% 172.50/26.75    (67)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 172.50/26.75    (68)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.50/26.75    (69)   ~ (all_52_6 = all_4_1)
% 172.50/26.75    (70)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.50/26.75    (71)   ~ (all_52_13 = all_52_14)
% 172.50/26.75    (72)  all_58_18 = all_52_2
% 172.50/26.75    (73)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.50/26.75    (74)  all_58_16 = all_6_2
% 172.50/26.75    (75)  op(e0, e3) = all_52_3
% 172.50/26.75    (76)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 172.50/26.75    (77)   ~ (all_52_8 = all_52_9)
% 172.50/26.75    (78)   ~ (all_52_4 = all_6_2)
% 172.50/26.75    (79)  all_56_2 = all_52_1
% 172.50/26.75    (80)  all_58_5 = all_52_13
% 172.50/26.75    (81)   ~ (e3 = e0)
% 172.50/26.75    (82)  op(e3, e0) = all_52_12
% 172.50/26.75    (83)  all_58_29 = all_52_13
% 172.50/26.75    (84)   ~ (all_40_0 = e3) |  ~ (all_40_1 = e1)
% 172.50/26.75    (85)   ~ (all_52_1 = all_52_2)
% 172.50/26.75    (86)   ~ (all_52_6 = all_52_14)
% 172.50/26.75    (87)   ~ (all_52_8 = all_10_2)
% 172.50/26.75    (88)  all_56_4 = all_52_8
% 172.50/26.75    (89)  op(e1, all_52_2) = all_58_8
% 172.50/26.75    (90)   ~ (all_52_1 = all_52_13)
% 172.50/26.75    (91)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 172.50/26.75    (92)  all_58_20 = all_52_4
% 172.50/26.75    (93)  all_54_10 = all_10_2
% 172.50/26.75    (94)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.50/26.75    (95)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 172.50/26.75    (96)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 172.50/26.75    (97)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.50/26.75    (98)   ~ (all_52_8 = all_52_11)
% 172.50/26.75    (99)   ~ (all_52_8 = all_6_2)
% 172.50/26.75    (100)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 172.50/26.75    (101)  all_56_6 = all_52_2
% 172.50/26.75    (102)   ~ (all_52_1 = all_52_9)
% 172.50/26.75    (103)  all_58_24 = all_52_8
% 172.50/26.75    (104)   ~ (all_52_12 = all_52_14)
% 172.50/26.75    (105)  all_56_3 = e0
% 172.50/26.75    (106)   ~ (all_52_9 = all_52_11)
% 172.50/26.75    (107)  all_58_22 = all_52_6
% 172.50/26.75    (108)   ~ (all_52_4 = all_52_12)
% 172.50/26.75    (109)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.50/26.75    (110)  all_54_0 = all_6_2
% 172.50/26.75    (111)  all_40_0 = all_4_0
% 172.50/26.75    (112)   ~ (all_52_14 = all_10_2)
% 172.50/26.75    (113)   ~ (all_52_1 = e0)
% 172.50/26.75    (114)   ~ (all_52_2 = all_52_3)
% 172.50/26.75    (115)  op(all_4_1, e0) = all_4_0
% 172.50/26.75    (116)   ~ (all_52_4 = all_52_8)
% 172.50/26.75    (117)   ~ (all_52_14 = all_14_2)
% 172.50/26.75    (118)  all_58_25 = all_52_9
% 172.50/26.75    (119)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.50/26.75             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.50/26.75    (120)   ~ (all_52_6 = e0)
% 172.50/26.75    (121)  all_54_12 = all_52_3
% 172.50/26.75    (122)   ~ (all_52_2 = all_52_14)
% 172.50/26.75    (123)  all_40_1 = all_4_1
% 172.50/26.75    (124)  all_56_10 = all_52_13
% 172.50/26.75    (125)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.50/26.75    (126)   ~ (e2 = e0)
% 172.50/26.75    (127)   ~ (all_52_1 = all_52_3)
% 172.50/26.75    (128)  all_58_28 = all_52_12
% 172.50/26.75    (129)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.50/26.75    (130)   ~ (e1 = e0)
% 172.50/26.75    (131)  op(all_6_2, e3) = e0
% 172.50/26.75    (132)  all_56_7 = all_52_6
% 172.50/26.75    (133)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.50/26.75             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.50/26.75             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.50/26.75             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.50/26.75             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.50/26.75             (all_58_15 = e0))
% 172.50/26.75    (134)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 172.50/26.75    (135)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.50/26.75    (136)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.50/26.75           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.50/26.75           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.50/26.75           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.50/26.75           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.50/26.75           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.50/26.75           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.50/26.75           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.50/26.75           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.50/26.75           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.50/26.75             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.50/26.75             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.50/26.75             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.50/26.75             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.50/26.75             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.50/26.75             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.50/26.75             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.50/26.75             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.50/26.75             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.50/26.75             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.50/26.75             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.50/26.75             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.50/26.75             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.50/26.75             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.50/26.75             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.50/26.75             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.50/26.75           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.50/26.75           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.50/26.75           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.50/26.75             all_58_30 = e0 & e1 = e0)
% 172.50/26.75    (137)  all_54_7 = all_52_13
% 172.50/26.75    (138)   ~ (all_52_2 = all_10_2)
% 172.50/26.75    (139)  all_54_11 = all_52_14
% 172.50/26.75    (140)   ~ (all_52_12 = all_52_13)
% 172.50/26.75  
% 172.50/26.75  Begin of proof
% 172.50/26.75  | 
% 172.50/26.75  | BETA: splitting (96) gives:
% 172.50/26.75  | 
% 172.50/26.75  | Case 1:
% 172.50/26.75  | | 
% 172.50/26.75  | |   (141)  all_56_6 = e0
% 172.50/26.75  | | 
% 172.50/26.75  | | COMBINE_EQS: (101), (141) imply:
% 172.50/26.75  | |   (142)  all_52_2 = e0
% 172.50/26.75  | | 
% 172.50/26.75  | | COMBINE_EQS: (72), (142) imply:
% 172.50/26.75  | |   (143)  all_58_18 = e0
% 172.50/26.75  | | 
% 172.50/26.75  | | REDUCE: (114), (142) imply:
% 172.50/26.75  | |   (144)   ~ (all_52_3 = e0)
% 172.50/26.75  | | 
% 172.50/26.75  | | SIMP: (144) implies:
% 172.50/26.75  | |   (145)   ~ (all_52_3 = e0)
% 172.50/26.75  | | 
% 172.50/26.75  | | REDUCE: (57), (142) imply:
% 172.50/26.75  | |   (146)   ~ (all_52_6 = e0)
% 172.50/26.75  | | 
% 172.50/26.75  | | REDUCE: (13), (142) imply:
% 172.50/26.75  | |   (147)   ~ (all_6_2 = e0)
% 172.50/26.75  | | 
% 172.50/26.75  | | SIMP: (147) implies:
% 172.50/26.75  | |   (148)   ~ (all_6_2 = e0)
% 172.50/26.75  | | 
% 172.50/26.75  | | REDUCE: (89), (142) imply:
% 172.50/26.75  | |   (149)  op(e1, e0) = all_58_8
% 172.50/26.75  | | 
% 172.50/26.75  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (11), (12), (14), (15), (18),
% 172.50/26.75  | |            (19), (20), (21), (22), (24), (25), (26), (27), (28), (29), (31),
% 172.50/26.75  | |            (32), (34), (36), (37), (38), (39), (40), (41), (42), (43), (44),
% 172.50/26.75  | |            (45), (46), (47), (50), (51), (53), (54), (55), (56), (58), (59),
% 172.50/26.75  | |            (60), (62), (64), (65), (66), (67), (68), (69), (70), (71), (73),
% 172.50/26.75  | |            (74), (78), (79), (80), (81), (82), (83), (84), (86), (87), (88),
% 172.50/26.75  | |            (90), (91), (92), (93), (95), (97), (98), (99), (100), (102),
% 172.50/26.75  | |            (103), (104), (105), (106), (107), (108), (110), (111), (112),
% 172.50/26.75  | |            (113), (115), (116), (117), (118), (119), (120), (121), (123),
% 172.50/26.75  | |            (124), (126), (127), (128), (129), (130), (132), (133), (134),
% 172.50/26.75  | |            (135), (136), (137), (139), (140), (141), (143), (145), (148),
% 172.50/26.75  | |            (149) are inconsistent by sub-proof #537.
% 172.50/26.75  | | 
% 172.50/26.75  | Case 2:
% 172.50/26.75  | | 
% 172.50/26.75  | |   (150)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 172.50/26.75  | | 
% 172.50/26.75  | | REF_CLOSE: (2), (3), (5), (6), (8), (9), (10), (11), (12), (13), (14), (16),
% 172.50/26.75  | |            (17), (18), (19), (20), (21), (22), (23), (24), (25), (26), (27),
% 172.50/26.75  | |            (29), (30), (31), (32), (33), (34), (35), (36), (38), (39), (40),
% 172.50/26.75  | |            (42), (45), (47), (48), (49), (50), (51), (52), (54), (56), (57),
% 172.50/26.75  | |            (59), (60), (61), (62), (63), (65), (67), (68), (70), (71), (73),
% 172.50/26.75  | |            (75), (76), (77), (78), (79), (80), (81), (82), (83), (84), (87),
% 172.50/26.75  | |            (88), (90), (92), (94), (97), (99), (100), (101), (103), (105),
% 172.50/26.75  | |            (107), (108), (109), (110), (111), (112), (113), (114), (115),
% 172.50/26.75  | |            (116), (118), (119), (120), (122), (123), (124), (125), (126),
% 172.50/26.75  | |            (127), (128), (129), (130), (131), (132), (133), (134), (137),
% 172.50/26.75  | |            (138), (140), (150) are inconsistent by sub-proof #329.
% 172.50/26.75  | | 
% 172.50/26.75  | End of split
% 172.50/26.75  | 
% 172.50/26.75  End of proof
% 172.50/26.75  
% 172.50/26.75  Sub-proof #329 shows that the following formulas are inconsistent:
% 172.50/26.75  ----------------------------------------------------------------
% 172.50/26.75    (1)  op(e0, e0) = all_14_2
% 172.50/26.75    (2)  all_56_1 = all_52_4
% 172.50/26.75    (3)  all_56_12 = all_52_3
% 172.50/26.75    (4)  op(e1, e3) = all_52_2
% 172.50/26.75    (5)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 172.50/26.75    (6)  op(e1, all_52_14) = all_58_11
% 172.50/26.75    (7)   ~ (all_10_2 = e0)
% 172.50/26.75    (8)   ~ (all_52_8 = all_52_12)
% 172.50/26.75    (9)   ~ (e3 = e1)
% 172.50/26.75    (10)   ~ (all_52_2 = all_6_2)
% 172.50/26.75    (11)   ~ (all_52_3 = all_14_2)
% 172.50/26.75    (12)  all_54_3 = all_52_12
% 172.50/26.75    (13)  all_56_5 = all_52_9
% 172.50/26.75    (14)   ~ (all_52_3 = all_52_11)
% 172.50/26.75    (15)   ~ (all_52_12 = all_6_2)
% 172.50/26.75    (16)  all_58_23 = all_4_1
% 172.50/26.75    (17)  op(e1, e0) = all_52_14
% 172.50/26.75    (18)  all_56_15 = all_14_2
% 172.50/26.75    (19)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 172.50/26.75    (20)  all_56_13 = all_4_1
% 172.50/26.75    (21)  all_54_6 = all_52_9
% 172.50/26.75    (22)  all_56_14 = all_52_11
% 172.50/26.75    (23)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 172.50/26.75    (24)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.50/26.75    (25)  op(e0, all_52_3) = all_58_12
% 172.50/26.75    (26)  all_56_8 = all_10_2
% 172.50/26.75    (27)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.50/26.75    (28)   ~ (all_52_9 = e0)
% 172.50/26.75    (29)  all_58_26 = all_10_2
% 172.50/26.75    (30)   ~ (all_52_4 = all_52_6)
% 172.50/26.75    (31)  all_58_31 = all_14_2
% 172.50/26.75    (32)   ~ (all_52_9 = all_52_13)
% 172.50/26.75    (33)   ~ (all_52_3 = all_6_2)
% 172.50/26.75    (34)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.50/26.75    (35)   ~ (all_52_1 = all_6_2)
% 172.50/26.75    (36)  all_56_11 = all_52_14
% 172.50/26.75    (37)  all_56_0 = all_6_2
% 172.50/26.75    (38)   ~ (all_52_9 = all_10_2)
% 172.50/26.75    (39)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.50/26.75    (40)  all_58_30 = all_52_14
% 172.50/26.75    (41)  all_58_27 = all_52_11
% 172.50/26.75    (42)   ~ (all_52_3 = all_4_1)
% 172.50/26.75    (43)  all_58_21 = e0
% 172.50/26.75    (44)  all_56_9 = all_52_12
% 172.50/26.75    (45)   ~ (all_52_2 = all_52_6)
% 172.50/26.75    (46)   ~ (all_52_4 = all_4_1)
% 172.50/26.75    (47)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 172.50/26.75    (48)   ~ (e3 = e2)
% 172.50/26.75    (49)  op(e3, all_52_8) = all_58_2
% 172.50/26.75    (50)   ~ (e2 = e1)
% 172.50/26.75    (51)   ~ (all_52_6 = all_10_2)
% 172.50/26.75    (52)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.50/26.75    (53)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 172.50/26.75    (54)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.50/26.75    (55)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.50/26.75    (56)   ~ (all_52_13 = all_52_14)
% 172.50/26.75    (57)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.50/26.75    (58)  op(e0, e3) = all_52_3
% 172.50/26.76    (59)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 172.50/26.76    (60)   ~ (all_52_8 = all_52_9)
% 172.50/26.76    (61)   ~ (all_52_4 = all_6_2)
% 172.50/26.76    (62)  all_56_2 = all_52_1
% 172.50/26.76    (63)  all_58_5 = all_52_13
% 172.50/26.76    (64)   ~ (e3 = e0)
% 172.50/26.76    (65)  op(e3, e0) = all_52_12
% 172.50/26.76    (66)  all_58_29 = all_52_13
% 172.50/26.76    (67)   ~ (all_40_0 = e3) |  ~ (all_40_1 = e1)
% 172.50/26.76    (68)   ~ (all_52_8 = all_10_2)
% 172.50/26.76    (69)  all_56_4 = all_52_8
% 172.50/26.76    (70)   ~ (all_52_1 = all_52_13)
% 172.50/26.76    (71)  all_58_20 = all_52_4
% 172.50/26.76    (72)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.50/26.76    (73)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.50/26.76    (74)   ~ (all_52_8 = all_6_2)
% 172.50/26.76    (75)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 172.50/26.76    (76)  all_56_6 = all_52_2
% 172.50/26.76    (77)  all_58_24 = all_52_8
% 172.50/26.76    (78)  all_56_3 = e0
% 172.50/26.76    (79)  all_58_22 = all_52_6
% 172.50/26.76    (80)   ~ (all_52_4 = all_52_12)
% 172.50/26.76    (81)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.50/26.76    (82)  all_54_0 = all_6_2
% 172.50/26.76    (83)  all_40_0 = all_4_0
% 172.50/26.76    (84)   ~ (all_52_14 = all_10_2)
% 172.50/26.76    (85)   ~ (all_52_1 = e0)
% 172.50/26.76    (86)   ~ (all_52_2 = all_52_3)
% 172.50/26.76    (87)  op(all_4_1, e0) = all_4_0
% 172.50/26.76    (88)   ~ (all_52_4 = all_52_8)
% 172.50/26.76    (89)  all_58_25 = all_52_9
% 172.50/26.76    (90)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.50/26.76            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.50/26.76    (91)   ~ (all_52_6 = e0)
% 172.50/26.76    (92)   ~ (all_52_2 = all_52_14)
% 172.50/26.76    (93)  all_40_1 = all_4_1
% 172.50/26.76    (94)  all_56_10 = all_52_13
% 172.50/26.76    (95)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.50/26.76    (96)   ~ (e2 = e0)
% 172.50/26.76    (97)   ~ (all_52_1 = all_52_3)
% 172.50/26.76    (98)  all_58_28 = all_52_12
% 172.50/26.76    (99)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.50/26.76    (100)   ~ (e1 = e0)
% 172.50/26.76    (101)  op(all_6_2, e3) = e0
% 172.50/26.76    (102)  all_56_7 = all_52_6
% 172.50/26.76    (103)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.50/26.76             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.50/26.76             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.50/26.76             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.50/26.76             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.50/26.76             (all_58_15 = e0))
% 172.50/26.76    (104)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 172.50/26.76    (105)  all_54_7 = all_52_13
% 172.50/26.76    (106)   ~ (all_52_2 = all_10_2)
% 172.50/26.76    (107)   ~ (all_52_12 = all_52_13)
% 172.50/26.76  
% 172.50/26.76  Begin of proof
% 172.50/26.76  | 
% 172.50/26.76  | BETA: splitting (47) gives:
% 172.50/26.76  | 
% 172.50/26.76  | Case 1:
% 172.50/26.76  | | 
% 172.50/26.76  | |   (108)  all_56_7 = e0
% 172.50/26.76  | | 
% 172.50/26.76  | | COMBINE_EQS: (102), (108) imply:
% 172.51/26.76  | |   (109)  all_52_6 = e0
% 172.51/26.76  | | 
% 172.51/26.76  | | REDUCE: (91), (109) imply:
% 172.51/26.76  | |   (110)  $false
% 172.51/26.76  | | 
% 172.51/26.76  | | CLOSE: (110) is inconsistent.
% 172.51/26.76  | | 
% 172.51/26.76  | Case 2:
% 172.51/26.76  | | 
% 172.51/26.76  | |   (111)  all_56_8 = e0 | all_56_11 = e0
% 172.51/26.76  | | 
% 172.51/26.76  | | BETA: splitting (111) gives:
% 172.51/26.76  | | 
% 172.51/26.76  | | Case 1:
% 172.51/26.76  | | | 
% 172.51/26.76  | | |   (112)  all_56_8 = e0
% 172.51/26.76  | | | 
% 172.51/26.76  | | | COMBINE_EQS: (26), (112) imply:
% 172.51/26.76  | | |   (113)  all_10_2 = e0
% 172.51/26.76  | | | 
% 172.51/26.76  | | | REDUCE: (7), (113) imply:
% 172.51/26.76  | | |   (114)  $false
% 172.51/26.76  | | | 
% 172.51/26.76  | | | CLOSE: (114) is inconsistent.
% 172.51/26.76  | | | 
% 172.51/26.76  | | Case 2:
% 172.51/26.76  | | | 
% 172.51/26.76  | | |   (115)  all_56_11 = e0
% 172.51/26.76  | | | 
% 172.51/26.76  | | | COMBINE_EQS: (36), (115) imply:
% 172.51/26.76  | | |   (116)  all_52_14 = e0
% 172.51/26.76  | | | 
% 172.51/26.76  | | | COMBINE_EQS: (40), (116) imply:
% 172.51/26.76  | | |   (117)  all_58_30 = e0
% 172.51/26.76  | | | 
% 172.51/26.76  | | | REDUCE: (92), (116) imply:
% 172.51/26.76  | | |   (118)   ~ (all_52_2 = e0)
% 172.51/26.76  | | | 
% 172.51/26.76  | | | REDUCE: (56), (116) imply:
% 172.51/26.76  | | |   (119)   ~ (all_52_13 = e0)
% 172.51/26.76  | | | 
% 172.51/26.76  | | | REDUCE: (84), (116) imply:
% 172.51/26.76  | | |   (120)   ~ (all_10_2 = e0)
% 172.51/26.76  | | | 
% 172.51/26.76  | | | REDUCE: (6), (116) imply:
% 172.51/26.76  | | |   (121)  op(e1, e0) = all_58_11
% 172.51/26.76  | | | 
% 172.51/26.76  | | | REDUCE: (17), (116) imply:
% 172.51/26.76  | | |   (122)  op(e1, e0) = e0
% 172.51/26.76  | | | 
% 172.51/26.76  | | | GROUND_INST: instantiating (90) with e0, all_58_11, e0, e1, simplifying
% 172.51/26.76  | | |              with (121), (122) gives:
% 172.51/26.76  | | |   (123)  all_58_11 = e0
% 172.51/26.76  | | | 
% 172.51/26.76  | | | BETA: splitting (59) gives:
% 172.51/26.76  | | | 
% 172.51/26.76  | | | Case 1:
% 172.51/26.76  | | | | 
% 172.51/26.76  | | | |   (124)  all_56_4 = e0
% 172.51/26.76  | | | | 
% 172.51/26.76  | | | | COMBINE_EQS: (69), (124) imply:
% 172.51/26.76  | | | |   (125)  all_52_8 = e0
% 172.51/26.76  | | | | 
% 172.51/26.76  | | | | COMBINE_EQS: (77), (125) imply:
% 172.51/26.76  | | | |   (126)  all_58_24 = e0
% 172.51/26.76  | | | | 
% 172.51/26.76  | | | | REDUCE: (88), (125) imply:
% 172.51/26.76  | | | |   (127)   ~ (all_52_4 = e0)
% 172.51/26.76  | | | | 
% 172.51/26.76  | | | | REDUCE: (60), (125) imply:
% 172.51/26.76  | | | |   (128)   ~ (all_52_9 = e0)
% 172.51/26.76  | | | | 
% 172.51/26.76  | | | | REDUCE: (8), (125) imply:
% 172.51/26.76  | | | |   (129)   ~ (all_52_12 = e0)
% 172.51/26.76  | | | | 
% 172.51/26.76  | | | | SIMP: (129) implies:
% 172.51/26.76  | | | |   (130)   ~ (all_52_12 = e0)
% 172.51/26.76  | | | | 
% 172.51/26.76  | | | | REDUCE: (74), (125) imply:
% 172.51/26.76  | | | |   (131)   ~ (all_6_2 = e0)
% 172.51/26.76  | | | | 
% 172.51/26.76  | | | | SIMP: (131) implies:
% 172.51/26.76  | | | |   (132)   ~ (all_6_2 = e0)
% 172.51/26.76  | | | | 
% 172.51/26.76  | | | | REDUCE: (49), (125) imply:
% 172.51/26.76  | | | |   (133)  op(e3, e0) = all_58_2
% 172.51/26.76  | | | | 
% 172.51/26.76  | | | | BETA: splitting (72) gives:
% 172.51/26.76  | | | | 
% 172.51/26.76  | | | | Case 1:
% 172.51/26.76  | | | | | 
% 172.51/26.76  | | | | |   (134)  all_56_0 = e0
% 172.51/26.76  | | | | | 
% 172.51/26.76  | | | | | REF_CLOSE: (37), (132), (134) are inconsistent by sub-proof #939.
% 172.51/26.76  | | | | | 
% 172.51/26.76  | | | | Case 2:
% 172.51/26.76  | | | | | 
% 172.51/26.76  | | | | |   (135)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.51/26.76  | | | | | 
% 172.51/26.76  | | | | | BETA: splitting (135) gives:
% 172.51/26.76  | | | | | 
% 172.51/26.76  | | | | | Case 1:
% 172.51/26.76  | | | | | | 
% 172.51/26.76  | | | | | |   (136)  all_56_2 = e0
% 172.51/26.76  | | | | | | 
% 172.51/26.76  | | | | | | REF_CLOSE: (62), (85), (136) are inconsistent by sub-proof #335.
% 172.51/26.76  | | | | | | 
% 172.51/26.76  | | | | | Case 2:
% 172.51/26.76  | | | | | | 
% 172.51/26.76  | | | | | |   (137)  all_56_6 = e0 | all_56_12 = e0
% 172.51/26.76  | | | | | | 
% 172.51/26.76  | | | | | | BETA: splitting (137) gives:
% 172.51/26.76  | | | | | | 
% 172.51/26.76  | | | | | | Case 1:
% 172.51/26.76  | | | | | | | 
% 172.51/26.76  | | | | | | |   (138)  all_56_6 = e0
% 172.51/26.76  | | | | | | | 
% 172.51/26.76  | | | | | | | REF_CLOSE: (76), (118), (138) are inconsistent by sub-proof #520.
% 172.51/26.76  | | | | | | | 
% 172.51/26.76  | | | | | | Case 2:
% 172.51/26.76  | | | | | | | 
% 172.51/26.76  | | | | | | |   (139)  all_56_12 = e0
% 172.51/26.76  | | | | | | | 
% 172.51/26.76  | | | | | | | COMBINE_EQS: (3), (139) imply:
% 172.51/26.76  | | | | | | |   (140)  all_52_3 = e0
% 172.51/26.76  | | | | | | | 
% 172.51/26.76  | | | | | | | SIMP: (140) implies:
% 172.51/26.76  | | | | | | |   (141)  all_52_3 = e0
% 172.51/26.76  | | | | | | | 
% 172.51/26.76  | | | | | | | REDUCE: (14), (141) imply:
% 172.51/26.76  | | | | | | |   (142)   ~ (all_52_11 = e0)
% 172.51/26.76  | | | | | | | 
% 172.51/26.76  | | | | | | | SIMP: (142) implies:
% 172.51/26.76  | | | | | | |   (143)   ~ (all_52_11 = e0)
% 172.51/26.76  | | | | | | | 
% 172.51/26.76  | | | | | | | REDUCE: (11), (141) imply:
% 172.51/26.76  | | | | | | |   (144)   ~ (all_14_2 = e0)
% 172.51/26.76  | | | | | | | 
% 172.51/26.76  | | | | | | | SIMP: (144) implies:
% 172.51/26.76  | | | | | | |   (145)   ~ (all_14_2 = e0)
% 172.51/26.76  | | | | | | | 
% 172.51/26.76  | | | | | | | REDUCE: (42), (141) imply:
% 172.51/26.76  | | | | | | |   (146)   ~ (all_4_1 = e0)
% 172.51/26.76  | | | | | | | 
% 172.51/26.76  | | | | | | | SIMP: (146) implies:
% 172.51/26.76  | | | | | | |   (147)   ~ (all_4_1 = e0)
% 172.51/26.76  | | | | | | | 
% 172.51/26.76  | | | | | | | REDUCE: (25), (141) imply:
% 172.51/26.76  | | | | | | |   (148)  op(e0, e0) = all_58_12
% 172.51/26.76  | | | | | | | 
% 172.51/26.76  | | | | | | | GROUND_INST: instantiating (90) with all_14_2, all_58_12, e0, e0,
% 172.51/26.76  | | | | | | |              simplifying with (1), (148) gives:
% 172.51/26.76  | | | | | | |   (149)  all_58_12 = all_14_2
% 172.51/26.76  | | | | | | | 
% 172.51/26.76  | | | | | | | GROUND_INST: instantiating (90) with all_52_12, all_58_2, e0, e3,
% 172.51/26.76  | | | | | | |              simplifying with (65), (133) gives:
% 172.51/26.76  | | | | | | |   (150)  all_58_2 = all_52_12
% 172.51/26.76  | | | | | | | 
% 172.51/26.76  | | | | | | | BETA: splitting (23) gives:
% 172.51/26.76  | | | | | | | 
% 172.51/26.76  | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | 
% 172.51/26.76  | | | | | | | |   (151)  all_54_6 = e0
% 172.51/26.76  | | | | | | | | 
% 172.51/26.76  | | | | | | | | REF_CLOSE: (21), (28), (151) are inconsistent by sub-proof #901.
% 172.51/26.76  | | | | | | | | 
% 172.51/26.76  | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | 
% 172.51/26.76  | | | | | | | |   (152)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 172.51/26.76  | | | | | | | | 
% 172.51/26.76  | | | | | | | | BETA: splitting (53) gives:
% 172.51/26.76  | | | | | | | | 
% 172.51/26.76  | | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | | 
% 172.51/26.76  | | | | | | | | |   (153)  all_54_7 = e0
% 172.51/26.76  | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | REF_CLOSE: (105), (119), (153) are inconsistent by sub-proof
% 172.51/26.76  | | | | | | | | |            #714.
% 172.51/26.76  | | | | | | | | | 
% 172.51/26.76  | | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | | 
% 172.51/26.76  | | | | | | | | |   (154)   ~ (all_54_7 = e0)
% 172.51/26.76  | | | | | | | | |   (155)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 172.51/26.76  | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | BETA: splitting (19) gives:
% 172.51/26.76  | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | |   (156)  all_54_3 = e0
% 172.51/26.76  | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | REF_CLOSE: (12), (130), (156) are inconsistent by sub-proof
% 172.51/26.76  | | | | | | | | | |            #898.
% 172.51/26.76  | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | |   (157)   ~ (all_54_3 = e0)
% 172.51/26.76  | | | | | | | | | |   (158)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 172.51/26.76  | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | BETA: splitting (5) gives:
% 172.51/26.76  | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | |   (159)  all_54_0 = e0
% 172.51/26.76  | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | REF_CLOSE: (82), (132), (159) are inconsistent by sub-proof
% 172.51/26.76  | | | | | | | | | | |            #984.
% 172.51/26.76  | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | |   (160)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.51/26.76  | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | BETA: splitting (27) gives:
% 172.51/26.76  | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | |   (161)  all_58_31 = e0
% 172.51/26.76  | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | COMBINE_EQS: (31), (161) imply:
% 172.51/26.76  | | | | | | | | | | | |   (162)  all_14_2 = e0
% 172.51/26.76  | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | REDUCE: (145), (162) imply:
% 172.51/26.76  | | | | | | | | | | | |   (163)  $false
% 172.51/26.76  | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | CLOSE: (163) is inconsistent.
% 172.51/26.76  | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | |   (164)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.51/26.76  | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | BETA: splitting (39) gives:
% 172.51/26.76  | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | |   (165)  all_58_27 = e0
% 172.51/26.76  | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | COMBINE_EQS: (41), (165) imply:
% 172.51/26.76  | | | | | | | | | | | | |   (166)  all_52_11 = e0
% 172.51/26.76  | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | REDUCE: (143), (166) imply:
% 172.51/26.76  | | | | | | | | | | | | |   (167)  $false
% 172.51/26.76  | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | CLOSE: (167) is inconsistent.
% 172.51/26.76  | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | |   (168)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.51/26.76  | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | BETA: splitting (73) gives:
% 172.51/26.76  | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | |   (169)  all_58_23 = e0
% 172.51/26.76  | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | COMBINE_EQS: (16), (169) imply:
% 172.51/26.76  | | | | | | | | | | | | | |   (170)  all_4_1 = e0
% 172.51/26.76  | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | REDUCE: (147), (170) imply:
% 172.51/26.76  | | | | | | | | | | | | | |   (171)  $false
% 172.51/26.76  | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | CLOSE: (171) is inconsistent.
% 172.51/26.76  | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | |   (172)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.51/26.76  | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | BETA: splitting (95) gives:
% 172.51/26.76  | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | |   (173)  all_56_2 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | COMBINE_EQS: (62), (173) imply:
% 172.51/26.76  | | | | | | | | | | | | | | |   (174)  all_52_1 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | REDUCE: (35), (174) imply:
% 172.51/26.76  | | | | | | | | | | | | | | |   (175)   ~ (all_6_2 = e1)
% 172.51/26.76  | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | SIMP: (175) implies:
% 172.51/26.76  | | | | | | | | | | | | | | |   (176)   ~ (all_6_2 = e1)
% 172.51/26.76  | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | REF_CLOSE: (2), (9), (18), (30), (37), (43), (44), (48),
% 172.51/26.76  | | | | | | | | | | | | | | |            (52), (55), (63), (64), (66), (71), (79), (81),
% 172.51/26.76  | | | | | | | | | | | | | | |            (94), (96), (98), (100), (103), (115), (117),
% 172.51/26.76  | | | | | | | | | | | | | | |            (123), (124), (130), (149), (150), (164), (172),
% 172.51/26.76  | | | | | | | | | | | | | | |            (176) are inconsistent by sub-proof #524.
% 172.51/26.76  | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | |   (177)   ~ (all_56_2 = e1)
% 172.51/26.76  | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | REDUCE: (62), (177) imply:
% 172.51/26.76  | | | | | | | | | | | | | | |   (178)   ~ (all_52_1 = e1)
% 172.51/26.76  | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | BETA: splitting (54) gives:
% 172.51/26.76  | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | |   (179)  all_56_0 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | COMBINE_EQS: (37), (179) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | |   (180)  all_6_2 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (90), (101), (118), (180) are inconsistent by
% 172.51/26.76  | | | | | | | | | | | | | | | |            sub-proof #353.
% 172.51/26.76  | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | |   (181)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 172.51/26.76  | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | |   (182)  all_56_2 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | COMBINE_EQS: (62), (182) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | |   (183)  all_52_1 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | REDUCE: (178), (183) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | |   (184)  $false
% 172.51/26.76  | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | CLOSE: (184) is inconsistent.
% 172.51/26.76  | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | |   (185)  all_56_6 = e1 | all_56_12 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 172.51/26.76  | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | |   (186)  all_56_6 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (76), (186) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | |   (187)  all_52_2 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | REDUCE: (45), (187) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | |   (188)   ~ (all_52_6 = e1)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | SIMP: (188) implies:
% 172.51/26.76  | | | | | | | | | | | | | | | | | |   (189)   ~ (all_52_6 = e1)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | REDUCE: (106), (187) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | |   (190)   ~ (all_10_2 = e1)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | SIMP: (190) implies:
% 172.51/26.76  | | | | | | | | | | | | | | | | | |   (191)   ~ (all_10_2 = e1)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | REDUCE: (10), (187) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | |   (192)   ~ (all_6_2 = e1)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | SIMP: (192) implies:
% 172.51/26.76  | | | | | | | | | | | | | | | | | |   (193)   ~ (all_6_2 = e1)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | BETA: splitting (172) gives:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | |   (194)  all_58_22 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (79), (189), (194) are inconsistent by sub-proof
% 172.51/26.76  | | | | | | | | | | | | | | | | | | |            #677.
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | |   (195)   ~ (all_58_22 = e1)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | |   (196)  all_58_20 = e3 | all_58_21 = e2
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | |   (197)  all_58_21 = e2
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (43), (197) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | |   (198)  e2 = e0
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | REDUCE: (96), (198) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | |   (199)  $false
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | CLOSE: (199) is inconsistent.
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | |   (200)  all_58_20 = e3
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | |   (201)   ~ (all_58_21 = e2)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (71), (200) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | |   (202)  all_52_4 = e3
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | SIMP: (202) implies:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | |   (203)  all_52_4 = e3
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2), (203) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | |   (204)  all_56_1 = e3
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (201) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | |   (205)   ~ (e2 = e0)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (203) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | |   (206)   ~ (all_52_6 = e3)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | SIMP: (206) implies:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | |   (207)   ~ (all_52_6 = e3)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (203) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | |   (208)   ~ (all_52_12 = e3)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | SIMP: (208) implies:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | |   (209)   ~ (all_52_12 = e3)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (203) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | |   (210)   ~ (all_6_2 = e3)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | SIMP: (210) implies:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | |   (211)   ~ (all_6_2 = e3)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (203) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | |   (212)   ~ (all_4_1 = e3)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | SIMP: (212) implies:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | |   (213)   ~ (all_4_1 = e3)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | BETA: splitting (99) gives:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | |   (214)  all_56_1 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (204), (214) are inconsistent by sub-proof
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | |            #334.
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | |   (215)   ~ (all_56_1 = e1)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | |   (216)  all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | |   (217)  all_56_3 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (78), (217) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | |   (218)  e1 = e0
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (218) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | |   (219)  $false
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (219) is inconsistent.
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | |   (220)   ~ (all_56_3 = e1)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | |   (221)  all_56_7 = e1 | all_56_13 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (220) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | |   (222)   ~ (e1 = e0)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | |   (223)  all_56_6 = e3
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (186), (223) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | |   (224)  e3 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (224) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | |   (225)  $false
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (225) is inconsistent.
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | |   (226)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | |   (227)  all_56_7 = e3
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (102), (227) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | |   (228)  all_52_6 = e3
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (228) implies:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | |   (229)  all_52_6 = e3
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (207), (229) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | |   (230)  $false
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (230) is inconsistent.
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | |   (231)  all_56_8 = e3 | all_56_11 = e3
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (24) gives:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  all_56_0 = e3
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (211), (232) are inconsistent by sub-proof
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | |            #333.
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  all_56_2 = e3
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (62), (234) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  all_52_1 = e3
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (235) implies:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | |   (236)  all_52_1 = e3
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (236) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | |   (237)   ~ (all_52_13 = e3)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (237) implies:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | |   (238)   ~ (all_52_13 = e3)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (57) gives:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (239)  all_56_0 = e2
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (37), (239) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  all_6_2 = e2
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (240) implies:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (241)  all_6_2 = e2
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (241) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (242)   ~ (all_52_12 = e2)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (243)  all_54_3 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (243) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (244)  all_52_12 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (244) implies:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (245)  all_52_12 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (245) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (246)   ~ (all_52_13 = e1)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (246) implies:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (247)   ~ (all_52_13 = e1)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (155) gives:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  all_54_7 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (247), (248) are inconsistent by sub-proof
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #712.
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  all_54_7 = e3 | all_54_7 = e2
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  all_54_7 = e2
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (105), (250) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (251)  all_52_13 = e2
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (251) implies:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  all_52_13 = e2
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (32), (252) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)   ~ (all_52_9 = e2)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (238), (252) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)   ~ (e3 = e2)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  all_56_8 = e3
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (26), (255) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  all_10_2 = e3
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (256) implies:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  all_10_2 = e3
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (29), (257) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  all_58_26 = e3
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (257) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)   ~ (all_52_9 = e3)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  all_56_7 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (102), (189), (260) are inconsistent by sub-proof
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #662.
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  all_56_13 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20), (261) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  all_4_1 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (93), (262) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  all_40_1 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (87), (262) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  op(e1, e0) = all_4_0
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (152) gives:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  all_54_6 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21), (265) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  all_52_9 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (266) implies:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  all_52_9 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (89), (267) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  all_58_25 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (259), (267) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)   ~ (e3 = e1)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (253), (267) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)   ~ (e2 = e1)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  all_58_26 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (271) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)  e3 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (272) implies:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  e3 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (273) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  $false
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (274) is inconsistent.
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)   ~ (all_58_26 = e1)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)  all_58_24 = e3 | all_58_25 = e2
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (276) gives:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)  all_58_25 = e2
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (277) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  e2 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (278) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  $false
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (279) is inconsistent.
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  all_58_24 = e3
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (126), (280) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  e3 = e0
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (281) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  all_56_8 = e0
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (17), (34), (36), (48), (50), (64), (67),
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (78), (83), (90), (96), (102), (104), (186),
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (204), (207), (261), (263), (264), (282) are
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #332.
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  all_54_6 = e3 | all_54_6 = e2
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (253), (259), (283) are inconsistent by
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #884.
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  all_56_11 = e3
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (64), (115), (284) are inconsistent by sub-proof
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #331.
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  all_54_7 = e3
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (238), (285) are inconsistent by sub-proof
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #710.
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  all_54_3 = e3 | all_54_3 = e2
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (209), (242), (286) are inconsistent by
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #891.
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)   ~ (all_56_0 = e2)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (287) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)   ~ (all_6_2 = e2)
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (82), (160), (193), (211), (288) are inconsistent
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #848.
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  all_56_6 = e3 | all_56_12 = e3
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  all_56_8 = e3
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (26), (290) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  all_10_2 = e3
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (291) implies:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  all_10_2 = e3
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  all_56_6 = e3
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (186), (293) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  e3 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (294) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  $false
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (295) is inconsistent.
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  all_56_12 = e3
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (139), (296) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  e3 = e0
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (297) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  all_56_8 = e0
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (17), (20), (34), (36), (48), (50), (64),
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (67), (78), (83), (87), (90), (93), (96), (99),
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (100), (102), (104), (186), (189), (204), (207),
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (213), (298) are inconsistent by sub-proof #330.
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  all_56_11 = e3
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (115), (299) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  e3 = e0
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (300) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  $false
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (301) is inconsistent.
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.76  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.76  | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.76  | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | |   (302)  all_56_12 = e1
% 172.51/26.76  | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (139), (302) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | |   (303)  e1 = e0
% 172.51/26.76  | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | REDUCE: (100), (303) imply:
% 172.51/26.76  | | | | | | | | | | | | | | | | | |   (304)  $false
% 172.51/26.76  | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | | CLOSE: (304) is inconsistent.
% 172.51/26.76  | | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | | End of split
% 172.51/26.76  | | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | | End of split
% 172.51/26.76  | | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | | End of split
% 172.51/26.76  | | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | | End of split
% 172.51/26.76  | | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | | End of split
% 172.51/26.76  | | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | | End of split
% 172.51/26.76  | | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | | End of split
% 172.51/26.76  | | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | | End of split
% 172.51/26.76  | | | | | | | | | | 
% 172.51/26.76  | | | | | | | | | End of split
% 172.51/26.76  | | | | | | | | | 
% 172.51/26.76  | | | | | | | | End of split
% 172.51/26.76  | | | | | | | | 
% 172.51/26.76  | | | | | | | End of split
% 172.51/26.76  | | | | | | | 
% 172.51/26.76  | | | | | | End of split
% 172.51/26.76  | | | | | | 
% 172.51/26.76  | | | | | End of split
% 172.51/26.76  | | | | | 
% 172.51/26.76  | | | | End of split
% 172.51/26.76  | | | | 
% 172.51/26.76  | | | Case 2:
% 172.51/26.76  | | | | 
% 172.51/26.76  | | | |   (305)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 172.51/26.76  | | | | 
% 172.51/26.76  | | | | BETA: splitting (75) gives:
% 172.51/26.76  | | | | 
% 172.51/26.76  | | | | Case 1:
% 172.51/26.76  | | | | | 
% 172.51/26.76  | | | | |   (306)  all_56_0 = e0
% 172.51/26.76  | | | | | 
% 172.51/26.76  | | | | | COMBINE_EQS: (37), (306) imply:
% 172.51/26.76  | | | | |   (307)  all_6_2 = e0
% 172.51/26.76  | | | | | 
% 172.51/26.76  | | | | | REF_CLOSE: (33), (58), (90), (101), (307) are inconsistent by
% 172.51/26.76  | | | | |            sub-proof #357.
% 172.51/26.76  | | | | | 
% 172.51/26.76  | | | | Case 2:
% 172.51/26.76  | | | | | 
% 172.51/26.76  | | | | |   (308)   ~ (all_56_0 = e0)
% 172.51/26.76  | | | | | 
% 172.51/26.76  | | | | | REDUCE: (37), (308) imply:
% 172.51/26.76  | | | | |   (309)   ~ (all_6_2 = e0)
% 172.51/26.76  | | | | | 
% 172.51/26.76  | | | | | BETA: splitting (72) gives:
% 172.51/26.76  | | | | | 
% 172.51/26.76  | | | | | Case 1:
% 172.51/26.76  | | | | | | 
% 172.51/26.76  | | | | | |   (310)  all_56_0 = e0
% 172.51/26.76  | | | | | | 
% 172.51/26.76  | | | | | | COMBINE_EQS: (37), (310) imply:
% 172.51/26.76  | | | | | |   (311)  all_6_2 = e0
% 172.51/26.76  | | | | | | 
% 172.51/26.76  | | | | | | REDUCE: (309), (311) imply:
% 172.51/26.76  | | | | | |   (312)  $false
% 172.51/26.76  | | | | | | 
% 172.51/26.76  | | | | | | CLOSE: (312) is inconsistent.
% 172.51/26.76  | | | | | | 
% 172.51/26.76  | | | | | Case 2:
% 172.51/26.76  | | | | | | 
% 172.51/26.77  | | | | | |   (313)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.51/26.77  | | | | | | 
% 172.51/26.77  | | | | | | BETA: splitting (313) gives:
% 172.51/26.77  | | | | | | 
% 172.51/26.77  | | | | | | Case 1:
% 172.51/26.77  | | | | | | | 
% 172.51/26.77  | | | | | | |   (314)  all_56_2 = e0
% 172.51/26.77  | | | | | | | 
% 172.51/26.77  | | | | | | | COMBINE_EQS: (62), (314) imply:
% 172.51/26.77  | | | | | | |   (315)  all_52_1 = e0
% 172.51/26.77  | | | | | | | 
% 172.51/26.77  | | | | | | | REDUCE: (85), (315) imply:
% 172.51/26.77  | | | | | | |   (316)  $false
% 172.51/26.77  | | | | | | | 
% 172.51/26.77  | | | | | | | CLOSE: (316) is inconsistent.
% 172.51/26.77  | | | | | | | 
% 172.51/26.77  | | | | | | Case 2:
% 172.51/26.77  | | | | | | | 
% 172.51/26.77  | | | | | | |   (317)  all_56_6 = e0 | all_56_12 = e0
% 172.51/26.77  | | | | | | | 
% 172.51/26.77  | | | | | | | BETA: splitting (305) gives:
% 172.51/26.77  | | | | | | | 
% 172.51/26.77  | | | | | | | Case 1:
% 172.51/26.77  | | | | | | | | 
% 172.51/26.77  | | | | | | | |   (318)  all_56_5 = e0
% 172.51/26.77  | | | | | | | | 
% 172.51/26.77  | | | | | | | | COMBINE_EQS: (13), (318) imply:
% 172.51/26.77  | | | | | | | |   (319)  all_52_9 = e0
% 172.51/26.77  | | | | | | | | 
% 172.51/26.77  | | | | | | | | REDUCE: (28), (319) imply:
% 172.51/26.77  | | | | | | | |   (320)  $false
% 172.51/26.77  | | | | | | | | 
% 172.51/26.77  | | | | | | | | CLOSE: (320) is inconsistent.
% 172.51/26.77  | | | | | | | | 
% 172.51/26.77  | | | | | | | Case 2:
% 172.51/26.77  | | | | | | | | 
% 172.51/26.77  | | | | | | | |   (321)  all_56_8 = e0 | all_56_14 = e0
% 172.51/26.77  | | | | | | | | 
% 172.51/26.77  | | | | | | | | REF_CLOSE: (3), (7), (14), (22), (26), (76), (118), (317), (321)
% 172.51/26.77  | | | | | | | |            are inconsistent by sub-proof #382.
% 172.51/26.77  | | | | | | | | 
% 172.51/26.77  | | | | | | | End of split
% 172.51/26.77  | | | | | | | 
% 172.51/26.77  | | | | | | End of split
% 172.51/26.77  | | | | | | 
% 172.51/26.77  | | | | | End of split
% 172.51/26.77  | | | | | 
% 172.51/26.77  | | | | End of split
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | End of split
% 172.51/26.77  | | | 
% 172.51/26.77  | | End of split
% 172.51/26.77  | | 
% 172.51/26.77  | End of split
% 172.51/26.77  | 
% 172.51/26.77  End of proof
% 172.51/26.77  
% 172.51/26.77  Sub-proof #330 shows that the following formulas are inconsistent:
% 172.51/26.77  ----------------------------------------------------------------
% 172.51/26.77    (1)   ~ (e3 = e1)
% 172.51/26.77    (2)  op(e1, e0) = all_52_14
% 172.51/26.77    (3)   ~ (all_52_6 = e1)
% 172.51/26.77    (4)  all_56_13 = all_4_1
% 172.51/26.77    (5)  all_56_1 = e3
% 172.51/26.77    (6)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.51/26.77    (7)  all_56_11 = all_52_14
% 172.51/26.77    (8)  all_56_6 = e1
% 172.51/26.77    (9)   ~ (e3 = e2)
% 172.51/26.77    (10)   ~ (e2 = e1)
% 172.51/26.77    (11)  all_56_8 = e0
% 172.51/26.77    (12)   ~ (all_4_1 = e3)
% 172.51/26.77    (13)   ~ (e3 = e0)
% 172.51/26.77    (14)   ~ (all_40_0 = e3) |  ~ (all_40_1 = e1)
% 172.51/26.77    (15)  all_56_3 = e0
% 172.51/26.77    (16)  all_40_0 = all_4_0
% 172.51/26.77    (17)   ~ (all_52_6 = e3)
% 172.51/26.77    (18)  op(all_4_1, e0) = all_4_0
% 172.51/26.77    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.51/26.77            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.51/26.77    (20)  all_40_1 = all_4_1
% 172.51/26.77    (21)   ~ (e2 = e0)
% 172.51/26.77    (22)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.51/26.77    (23)   ~ (e1 = e0)
% 172.51/26.77    (24)  all_56_7 = all_52_6
% 172.51/26.77    (25)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 172.51/26.77  
% 172.51/26.77  Begin of proof
% 172.51/26.77  | 
% 172.51/26.77  | BETA: splitting (22) gives:
% 172.51/26.77  | 
% 172.51/26.77  | Case 1:
% 172.51/26.77  | | 
% 172.51/26.77  | |   (26)  all_56_1 = e1
% 172.51/26.77  | | 
% 172.51/26.77  | | REF_CLOSE: (1), (5), (26) are inconsistent by sub-proof #334.
% 172.51/26.77  | | 
% 172.51/26.77  | Case 2:
% 172.51/26.77  | | 
% 172.51/26.77  | |   (27)  all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.51/26.77  | | 
% 172.51/26.77  | | BETA: splitting (27) gives:
% 172.51/26.77  | | 
% 172.51/26.77  | | Case 1:
% 172.51/26.77  | | | 
% 172.51/26.77  | | |   (28)  all_56_3 = e1
% 172.51/26.77  | | | 
% 172.51/26.77  | | | REF_CLOSE: (15), (23), (28) are inconsistent by sub-proof #571.
% 172.51/26.77  | | | 
% 172.51/26.77  | | Case 2:
% 172.51/26.77  | | | 
% 172.51/26.77  | | |   (29)  all_56_7 = e1 | all_56_13 = e1
% 172.51/26.77  | | | 
% 172.51/26.77  | | | BETA: splitting (29) gives:
% 172.51/26.77  | | | 
% 172.51/26.77  | | | Case 1:
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | |   (30)  all_56_7 = e1
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | | COMBINE_EQS: (24), (30) imply:
% 172.51/26.77  | | | |   (31)  all_52_6 = e1
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | | REDUCE: (3), (31) imply:
% 172.51/26.77  | | | |   (32)  $false
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | | CLOSE: (32) is inconsistent.
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | Case 2:
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | |   (33)  all_56_13 = e1
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | | COMBINE_EQS: (4), (33) imply:
% 172.51/26.77  | | | |   (34)  all_4_1 = e1
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | | SIMP: (34) implies:
% 172.51/26.77  | | | |   (35)  all_4_1 = e1
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | | COMBINE_EQS: (20), (35) imply:
% 172.51/26.77  | | | |   (36)  all_40_1 = e1
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | | REDUCE: (12), (35) imply:
% 172.51/26.77  | | | |   (37)   ~ (e3 = e1)
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | | REDUCE: (18), (35) imply:
% 172.51/26.77  | | | |   (38)  op(e1, e0) = all_4_0
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | | REF_CLOSE: (1), (2), (5), (6), (7), (8), (9), (10), (11), (13), (14),
% 172.51/26.77  | | | |            (15), (16), (17), (19), (21), (24), (25), (33), (36), (38)
% 172.51/26.77  | | | |            are inconsistent by sub-proof #332.
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | End of split
% 172.51/26.77  | | | 
% 172.51/26.77  | | End of split
% 172.51/26.77  | | 
% 172.51/26.77  | End of split
% 172.51/26.77  | 
% 172.51/26.77  End of proof
% 172.51/26.77  
% 172.51/26.77  Sub-proof #331 shows that the following formulas are inconsistent:
% 172.51/26.77  ----------------------------------------------------------------
% 172.51/26.77    (1)  all_56_11 = e3
% 172.51/26.77    (2)  all_56_11 = e0
% 172.51/26.77    (3)   ~ (e3 = e0)
% 172.51/26.77  
% 172.51/26.77  Begin of proof
% 172.51/26.77  | 
% 172.51/26.77  | COMBINE_EQS: (1), (2) imply:
% 172.51/26.77  |   (4)  e3 = e0
% 172.51/26.77  | 
% 172.51/26.77  | SIMP: (4) implies:
% 172.51/26.77  |   (5)  e3 = e0
% 172.51/26.77  | 
% 172.51/26.77  | REDUCE: (3), (5) imply:
% 172.51/26.77  |   (6)  $false
% 172.51/26.77  | 
% 172.51/26.77  | CLOSE: (6) is inconsistent.
% 172.51/26.77  | 
% 172.51/26.77  End of proof
% 172.51/26.77  
% 172.51/26.77  Sub-proof #332 shows that the following formulas are inconsistent:
% 172.51/26.77  ----------------------------------------------------------------
% 172.51/26.77    (1)   ~ (e3 = e1)
% 172.51/26.77    (2)  op(e1, e0) = all_52_14
% 172.51/26.77    (3)  all_56_1 = e3
% 172.51/26.77    (4)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.51/26.77    (5)  all_56_11 = all_52_14
% 172.51/26.77    (6)  all_56_6 = e1
% 172.51/26.77    (7)   ~ (e3 = e2)
% 172.51/26.77    (8)   ~ (e2 = e1)
% 172.51/26.77    (9)  all_40_1 = e1
% 172.51/26.77    (10)  all_56_8 = e0
% 172.51/26.77    (11)   ~ (e3 = e0)
% 172.51/26.77    (12)   ~ (all_40_0 = e3) |  ~ (all_40_1 = e1)
% 172.51/26.77    (13)  all_56_3 = e0
% 172.51/26.77    (14)  all_40_0 = all_4_0
% 172.51/26.77    (15)   ~ (all_52_6 = e3)
% 172.51/26.77    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.51/26.77            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.51/26.77    (17)   ~ (e2 = e0)
% 172.51/26.77    (18)  op(e1, e0) = all_4_0
% 172.51/26.77    (19)  all_56_7 = all_52_6
% 172.51/26.77    (20)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 172.51/26.77    (21)  all_56_13 = e1
% 172.51/26.77  
% 172.51/26.77  Begin of proof
% 172.51/26.77  | 
% 172.51/26.77  | BETA: splitting (4) gives:
% 172.51/26.77  | 
% 172.51/26.77  | Case 1:
% 172.51/26.77  | | 
% 172.51/26.77  | |   (22)  all_56_6 = e3
% 172.51/26.77  | | 
% 172.51/26.77  | | REF_CLOSE: (1), (6), (22) are inconsistent by sub-proof #726.
% 172.51/26.77  | | 
% 172.51/26.77  | Case 2:
% 172.51/26.77  | | 
% 172.51/26.77  | |   (23)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.51/26.77  | | 
% 172.51/26.77  | | BETA: splitting (20) gives:
% 172.51/26.77  | | 
% 172.51/26.77  | | Case 1:
% 172.51/26.77  | | | 
% 172.51/26.77  | | |   (24)  all_56_1 = e2
% 172.51/26.77  | | | 
% 172.51/26.77  | | | REF_CLOSE: (3), (7), (24) are inconsistent by sub-proof #573.
% 172.51/26.77  | | | 
% 172.51/26.77  | | Case 2:
% 172.51/26.77  | | | 
% 172.51/26.77  | | |   (25)  all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 172.51/26.77  | | | 
% 172.51/26.77  | | | BETA: splitting (25) gives:
% 172.51/26.77  | | | 
% 172.51/26.77  | | | Case 1:
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | |   (26)  all_56_3 = e2
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | | COMBINE_EQS: (13), (26) imply:
% 172.51/26.77  | | | |   (27)  e2 = e0
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | | SIMP: (27) implies:
% 172.51/26.77  | | | |   (28)  e2 = e0
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | | REDUCE: (17), (28) imply:
% 172.51/26.77  | | | |   (29)  $false
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | | CLOSE: (29) is inconsistent.
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | Case 2:
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | |   (30)  all_56_7 = e2 | all_56_13 = e2
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | | BETA: splitting (30) gives:
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | | Case 1:
% 172.51/26.77  | | | | | 
% 172.51/26.77  | | | | |   (31)  all_56_7 = e2
% 172.51/26.77  | | | | | 
% 172.51/26.77  | | | | | COMBINE_EQS: (19), (31) imply:
% 172.51/26.77  | | | | |   (32)  all_52_6 = e2
% 172.51/26.77  | | | | | 
% 172.51/26.77  | | | | | REDUCE: (15), (32) imply:
% 172.51/26.77  | | | | |   (33)   ~ (e3 = e2)
% 172.51/26.77  | | | | | 
% 172.51/26.77  | | | | | REF_CLOSE: (2), (5), (7), (9), (10), (11), (12), (14), (16), (18),
% 172.51/26.77  | | | | |            (23), (31) are inconsistent by sub-proof #498.
% 172.51/26.77  | | | | | 
% 172.51/26.77  | | | | Case 2:
% 172.51/26.77  | | | | | 
% 172.51/26.77  | | | | |   (34)  all_56_13 = e2
% 172.51/26.77  | | | | | 
% 172.51/26.77  | | | | | COMBINE_EQS: (21), (34) imply:
% 172.51/26.77  | | | | |   (35)  e2 = e1
% 172.51/26.77  | | | | | 
% 172.51/26.77  | | | | | REDUCE: (8), (35) imply:
% 172.51/26.77  | | | | |   (36)  $false
% 172.51/26.77  | | | | | 
% 172.51/26.77  | | | | | CLOSE: (36) is inconsistent.
% 172.51/26.77  | | | | | 
% 172.51/26.77  | | | | End of split
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | End of split
% 172.51/26.77  | | | 
% 172.51/26.77  | | End of split
% 172.51/26.77  | | 
% 172.51/26.77  | End of split
% 172.51/26.77  | 
% 172.51/26.77  End of proof
% 172.51/26.77  
% 172.51/26.77  Sub-proof #333 shows that the following formulas are inconsistent:
% 172.51/26.77  ----------------------------------------------------------------
% 172.51/26.77    (1)  all_56_0 = all_6_2
% 172.51/26.77    (2)  all_56_0 = e3
% 172.51/26.77    (3)   ~ (all_6_2 = e3)
% 172.51/26.77  
% 172.51/26.77  Begin of proof
% 172.51/26.77  | 
% 172.51/26.77  | COMBINE_EQS: (1), (2) imply:
% 172.51/26.77  |   (4)  all_6_2 = e3
% 172.51/26.77  | 
% 172.51/26.77  | SIMP: (4) implies:
% 172.51/26.77  |   (5)  all_6_2 = e3
% 172.51/26.77  | 
% 172.51/26.77  | REDUCE: (3), (5) imply:
% 172.51/26.77  |   (6)  $false
% 172.51/26.77  | 
% 172.51/26.77  | CLOSE: (6) is inconsistent.
% 172.51/26.77  | 
% 172.51/26.77  End of proof
% 172.51/26.77  
% 172.51/26.77  Sub-proof #334 shows that the following formulas are inconsistent:
% 172.51/26.77  ----------------------------------------------------------------
% 172.51/26.77    (1)  all_56_1 = e3
% 172.51/26.77    (2)  all_56_1 = e1
% 172.51/26.77    (3)   ~ (e3 = e1)
% 172.51/26.77  
% 172.51/26.77  Begin of proof
% 172.51/26.77  | 
% 172.51/26.77  | COMBINE_EQS: (1), (2) imply:
% 172.51/26.77  |   (4)  e3 = e1
% 172.51/26.77  | 
% 172.51/26.77  | SIMP: (4) implies:
% 172.51/26.77  |   (5)  e3 = e1
% 172.51/26.77  | 
% 172.51/26.77  | REDUCE: (3), (5) imply:
% 172.51/26.77  |   (6)  $false
% 172.51/26.77  | 
% 172.51/26.77  | CLOSE: (6) is inconsistent.
% 172.51/26.77  | 
% 172.51/26.77  End of proof
% 172.51/26.77  
% 172.51/26.77  Sub-proof #335 shows that the following formulas are inconsistent:
% 172.51/26.77  ----------------------------------------------------------------
% 172.51/26.77    (1)  all_56_2 = all_52_1
% 172.51/26.77    (2)  all_56_2 = e0
% 172.51/26.77    (3)   ~ (all_52_1 = e0)
% 172.51/26.77  
% 172.51/26.77  Begin of proof
% 172.51/26.77  | 
% 172.51/26.77  | COMBINE_EQS: (1), (2) imply:
% 172.51/26.77  |   (4)  all_52_1 = e0
% 172.51/26.77  | 
% 172.51/26.77  | SIMP: (4) implies:
% 172.51/26.77  |   (5)  all_52_1 = e0
% 172.51/26.77  | 
% 172.51/26.77  | REDUCE: (3), (5) imply:
% 172.51/26.77  |   (6)  $false
% 172.51/26.77  | 
% 172.51/26.77  | CLOSE: (6) is inconsistent.
% 172.51/26.77  | 
% 172.51/26.77  End of proof
% 172.51/26.77  
% 172.51/26.77  Sub-proof #336 shows that the following formulas are inconsistent:
% 172.51/26.77  ----------------------------------------------------------------
% 172.51/26.77    (1)   ~ (all_52_12 = all_14_2)
% 172.51/26.77    (2)  all_56_1 = all_52_4
% 172.51/26.77    (3)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 172.51/26.77    (4)  all_56_12 = all_52_3
% 172.51/26.77    (5)  op(e1, e3) = all_52_2
% 172.51/26.77    (6)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 172.51/26.77    (7)   ~ (all_10_2 = e0)
% 172.51/26.77    (8)   ~ (e3 = e1)
% 172.51/26.77    (9)  all_58_23 = all_52_7
% 172.51/26.77    (10)   ~ (all_52_2 = all_6_2)
% 172.51/26.77    (11)   ~ (all_52_3 = all_14_2)
% 172.51/26.77    (12)   ~ (all_52_4 = all_4_2)
% 172.51/26.77    (13)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.51/26.77    (14)  all_56_5 = all_52_9
% 172.51/26.77    (15)   ~ (all_52_3 = all_52_11)
% 172.51/26.77    (16)   ~ (all_52_12 = all_6_2)
% 172.51/26.77    (17)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 172.51/26.77    (18)   ~ (all_52_6 = all_4_2)
% 172.51/26.77    (19)  op(e3, all_6_2) = all_58_0
% 172.51/26.77    (20)  all_56_15 = all_14_2
% 172.51/26.77    (21)  op(e0, e2) = all_52_7
% 172.51/26.77    (22)  all_54_1 = all_52_4
% 172.51/26.77    (23)   ~ (all_14_2 = e0)
% 172.51/26.77    (24)   ~ (all_52_9 = all_4_2)
% 172.51/26.77    (25)   ~ (all_52_3 = all_52_7)
% 172.51/26.77    (26)  all_54_6 = all_52_9
% 172.51/26.77    (27)  all_56_14 = all_52_11
% 172.51/26.77    (28)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 172.51/26.77    (29)   ~ (all_26_0 = e1) |  ~ (all_26_2 = e2)
% 172.51/26.77    (30)   ~ (all_52_13 = all_4_2)
% 172.51/26.77    (31)  all_12_2 = all_6_2
% 172.51/26.77    (32)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.51/26.77    (33)  all_56_8 = all_10_2
% 172.51/26.77    (34)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.51/26.77    (35)  all_26_0 = all_6_0
% 172.51/26.77    (36)  all_58_26 = all_10_2
% 172.51/26.77    (37)   ~ (all_52_4 = all_52_6)
% 172.51/26.77    (38)  all_58_31 = all_14_2
% 172.51/26.77    (39)   ~ (all_52_11 = all_10_2)
% 172.51/26.77    (40)   ~ (all_52_9 = all_52_13)
% 172.51/26.77    (41)   ~ (all_52_3 = all_6_2)
% 172.51/26.77    (42)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.51/26.77    (43)   ~ (all_52_1 = all_6_2)
% 172.51/26.77    (44)  all_56_11 = all_52_14
% 172.51/26.77    (45)   ~ (all_52_6 = all_52_7)
% 172.51/26.77    (46)  all_56_0 = all_6_2
% 172.51/26.77    (47)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.51/26.77    (48)  all_58_30 = all_52_14
% 172.51/26.77    (49)  all_58_27 = all_52_11
% 172.51/26.77    (50)  all_54_14 = all_52_11
% 172.51/26.77    (51)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.51/26.77    (52)  all_58_17 = all_52_1
% 172.51/26.77    (53)  all_58_19 = all_52_3
% 172.51/26.77    (54)  all_56_9 = all_52_12
% 172.51/26.77    (55)   ~ (all_52_2 = all_52_6)
% 172.51/26.77    (56)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 172.51/26.77    (57)   ~ (e3 = e2)
% 172.51/26.77    (58)   ~ (all_52_4 = all_52_7)
% 172.51/26.77    (59)   ~ (e2 = e1)
% 172.51/26.77    (60)   ~ (all_52_6 = all_10_2)
% 172.51/26.77    (61)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 172.51/26.77    (62)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.51/26.77    (63)  op(e0, e1) = all_52_11
% 172.51/26.77    (64)   ~ (all_52_7 = all_14_2)
% 172.51/26.77    (65)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.51/26.77    (66)  all_26_2 = all_6_2
% 172.51/26.77    (67)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 172.51/26.77    (68)   ~ (all_52_13 = all_14_2)
% 172.51/26.77    (69)   ~ (all_52_1 = all_4_2)
% 172.51/26.77    (70)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.51/26.77    (71)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.51/26.77    (72)  all_54_9 = all_52_6
% 172.51/26.77    (73)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.51/26.77    (74)   ~ (all_52_13 = all_52_14)
% 172.51/26.77    (75)  op(e2, e3) = all_52_1
% 172.51/26.77    (76)  all_58_18 = all_52_2
% 172.51/26.77    (77)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.51/26.77    (78)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.51/26.77    (79)  all_58_16 = all_6_2
% 172.51/26.77    (80)  all_56_13 = all_52_7
% 172.51/26.77    (81)  op(e0, e3) = all_52_3
% 172.51/26.77    (82)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 172.51/26.77    (83)   ~ (all_52_8 = all_52_9)
% 172.51/26.77    (84)   ~ (all_52_4 = all_6_2)
% 172.51/26.77    (85)  all_56_2 = all_52_1
% 172.51/26.77    (86)   ~ (all_12_0 = e2) |  ~ (all_12_2 = e1)
% 172.51/26.77    (87)   ~ (e3 = e0)
% 172.51/26.77    (88)  all_58_29 = all_52_13
% 172.51/26.77    (89)   ~ (all_52_1 = all_52_2)
% 172.51/26.77    (90)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 172.51/26.77    (91)   ~ (all_4_2 = e0)
% 172.51/26.77    (92)   ~ (all_52_6 = all_52_14)
% 172.51/26.77    (93)   ~ (all_52_7 = all_4_2)
% 172.51/26.77    (94)   ~ (all_52_8 = all_10_2)
% 172.51/26.77    (95)  all_56_4 = all_52_8
% 172.51/26.77    (96)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.51/26.77    (97)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.51/26.77    (98)   ~ (all_52_1 = all_52_13)
% 172.51/26.77    (99)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.51/26.77    (100)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 172.51/26.77    (101)  all_58_20 = all_52_4
% 172.51/26.77    (102)  all_54_13 = all_52_7
% 172.51/26.77    (103)  all_54_15 = all_14_2
% 172.51/26.77    (104)   ~ (all_52_7 = all_52_11)
% 172.51/26.77    (105)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.51/26.77    (106)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 172.51/26.77    (107)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.51/26.77    (108)   ~ (all_52_8 = all_52_11)
% 172.51/26.77    (109)   ~ (all_52_8 = all_6_2)
% 172.51/26.77    (110)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 172.51/26.77    (111)  all_56_6 = all_52_2
% 172.51/26.77    (112)   ~ (all_52_1 = all_52_9)
% 172.51/26.77    (113)  op(e3, e3) = all_6_2
% 172.51/26.77    (114)  all_58_24 = all_52_8
% 172.51/26.77    (115)   ~ (all_52_12 = all_52_14)
% 172.51/26.77    (116)   ~ (all_52_9 = all_52_11)
% 172.51/26.77    (117)  all_58_22 = all_52_6
% 172.51/26.77    (118)   ~ (all_52_4 = all_52_12)
% 172.51/26.77    (119)  all_56_3 = all_4_2
% 172.51/26.77    (120)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.51/26.77    (121)  all_54_0 = all_6_2
% 172.51/26.77    (122)   ~ (all_52_14 = all_10_2)
% 172.51/26.77    (123)   ~ (all_52_2 = all_52_3)
% 172.51/26.77    (124)   ~ (all_52_4 = all_52_8)
% 172.51/26.77    (125)   ~ (all_52_14 = all_14_2)
% 172.51/26.77    (126)  all_58_25 = all_52_9
% 172.51/26.77    (127)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 172.51/26.77    (128)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.51/26.77             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.51/26.77    (129)  all_54_12 = all_52_3
% 172.51/26.77    (130)   ~ (all_52_2 = all_52_14)
% 172.51/26.77    (131)  op(e0, all_14_2) = all_58_15
% 172.51/26.77    (132)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 172.51/26.77    (133)  all_58_21 = all_4_2
% 172.51/26.77    (134)  all_56_10 = all_52_13
% 172.51/26.77    (135)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.51/26.77    (136)   ~ (e2 = e0)
% 172.51/26.77    (137)   ~ (all_52_1 = all_52_3)
% 172.51/26.77    (138)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 172.51/26.77    (139)  all_58_28 = all_52_12
% 172.51/26.77    (140)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.51/26.77    (141)   ~ (e1 = e0)
% 172.51/26.77    (142)  op(all_6_2, e3) = e0
% 172.51/26.77    (143)  all_56_7 = all_52_6
% 172.51/26.77    (144)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 172.51/26.77    (145)  all_54_5 = all_4_2
% 172.51/26.77    (146)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.51/26.77    (147)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.51/26.77           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.51/26.77           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.51/26.77           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.51/26.77           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.51/26.77           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.51/26.77           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.51/26.77           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.51/26.77           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.51/26.77           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.51/26.77             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.51/26.77             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.51/26.77             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.51/26.77             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.51/26.77             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.51/26.77             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.51/26.77             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.51/26.77             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.51/26.77             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.51/26.77             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.51/26.77             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.51/26.77             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.51/26.77             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.51/26.77             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.51/26.77             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.51/26.77             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.51/26.77           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.51/26.77           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.51/26.77           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.51/26.77             all_58_30 = e0 & e1 = e0)
% 172.51/26.77    (148)  all_54_7 = all_52_13
% 172.51/26.77    (149)   ~ (all_52_2 = all_10_2)
% 172.51/26.77    (150)  all_56_0 = e3 | all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3
% 172.51/26.77    (151)  op(e0, all_6_2) = all_6_0
% 172.51/26.77    (152)  all_12_0 = all_6_0
% 172.51/26.77    (153)   ~ (all_52_12 = all_52_13)
% 172.51/26.77  
% 172.51/26.77  Begin of proof
% 172.51/26.77  | 
% 172.51/26.77  | BETA: splitting (17) gives:
% 172.51/26.77  | 
% 172.51/26.77  | Case 1:
% 172.51/26.77  | | 
% 172.51/26.77  | |   (154)  all_54_5 = e0
% 172.51/26.77  | | 
% 172.51/26.77  | | REF_CLOSE: (91), (145), (154) are inconsistent by sub-proof #983.
% 172.51/26.77  | | 
% 172.51/26.77  | Case 2:
% 172.51/26.77  | | 
% 172.51/26.77  | |   (155)   ~ (all_54_5 = e0)
% 172.51/26.77  | |   (156)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 172.51/26.77  | | 
% 172.51/26.77  | | BETA: splitting (61) gives:
% 172.51/26.77  | | 
% 172.51/26.77  | | Case 1:
% 172.51/26.77  | | | 
% 172.51/26.77  | | |   (157)  all_54_15 = e0
% 172.51/26.77  | | | 
% 172.51/26.77  | | | REF_CLOSE: (23), (103), (157) are inconsistent by sub-proof #910.
% 172.51/26.77  | | | 
% 172.51/26.77  | | Case 2:
% 172.51/26.77  | | | 
% 172.51/26.77  | | |   (158)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 172.51/26.77  | | | 
% 172.51/26.77  | | | BETA: splitting (100) gives:
% 172.51/26.77  | | | 
% 172.51/26.77  | | | Case 1:
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | |   (159)  all_54_12 = e0
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | | COMBINE_EQS: (129), (159) imply:
% 172.51/26.77  | | | |   (160)  all_52_3 = e0
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | | REDUCE: (137), (160) imply:
% 172.51/26.77  | | | |   (161)   ~ (all_52_1 = e0)
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | | REDUCE: (123), (160) imply:
% 172.51/26.77  | | | |   (162)   ~ (all_52_2 = e0)
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | | REDUCE: (41), (160) imply:
% 172.51/26.77  | | | |   (163)   ~ (all_6_2 = e0)
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | | SIMP: (163) implies:
% 172.51/26.77  | | | |   (164)   ~ (all_6_2 = e0)
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | | REF_CLOSE: (5), (6), (19), (32), (46), (75), (77), (113), (121), (128),
% 172.51/26.77  | | | |            (142), (161), (162), (164) are inconsistent by sub-proof
% 172.51/26.77  | | | |            #348.
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | Case 2:
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | |   (165)   ~ (all_54_12 = e0)
% 172.51/26.77  | | | |   (166)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | | REDUCE: (129), (165) imply:
% 172.51/26.77  | | | |   (167)   ~ (all_52_3 = e0)
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | | BETA: splitting (138) gives:
% 172.51/26.77  | | | | 
% 172.51/26.77  | | | | Case 1:
% 172.51/26.77  | | | | | 
% 172.51/26.77  | | | | |   (168)  all_54_13 = e0
% 172.51/26.77  | | | | | 
% 172.51/26.77  | | | | | COMBINE_EQS: (102), (168) imply:
% 172.51/26.77  | | | | |   (169)  all_52_7 = e0
% 172.51/26.77  | | | | | 
% 172.51/26.77  | | | | | SIMP: (169) implies:
% 172.51/26.77  | | | | |   (170)  all_52_7 = e0
% 172.51/26.77  | | | | | 
% 172.51/26.77  | | | | | COMBINE_EQS: (80), (170) imply:
% 172.51/26.77  | | | | |   (171)  all_56_13 = e0
% 172.51/26.77  | | | | | 
% 172.51/26.77  | | | | | COMBINE_EQS: (9), (170) imply:
% 172.51/26.77  | | | | |   (172)  all_58_23 = e0
% 172.51/26.77  | | | | | 
% 172.51/26.77  | | | | | REDUCE: (45), (170) imply:
% 172.51/26.77  | | | | |   (173)   ~ (all_52_6 = e0)
% 172.51/26.77  | | | | | 
% 172.51/26.77  | | | | | REDUCE: (104), (170) imply:
% 172.51/26.77  | | | | |   (174)   ~ (all_52_11 = e0)
% 172.51/26.77  | | | | | 
% 172.51/26.77  | | | | | SIMP: (174) implies:
% 172.51/26.77  | | | | |   (175)   ~ (all_52_11 = e0)
% 172.51/26.77  | | | | | 
% 172.51/26.77  | | | | | REDUCE: (93), (170) imply:
% 172.51/26.77  | | | | |   (176)   ~ (all_4_2 = e0)
% 172.51/26.77  | | | | | 
% 172.51/26.77  | | | | | BETA: splitting (106) gives:
% 172.51/26.77  | | | | | 
% 172.51/26.77  | | | | | Case 1:
% 172.51/26.77  | | | | | | 
% 172.51/26.77  | | | | | |   (177)  all_56_6 = e0
% 172.51/26.77  | | | | | | 
% 172.51/26.77  | | | | | | COMBINE_EQS: (111), (177) imply:
% 172.51/26.77  | | | | | |   (178)  all_52_2 = e0
% 172.51/26.77  | | | | | | 
% 172.51/26.77  | | | | | | COMBINE_EQS: (76), (178) imply:
% 172.51/26.77  | | | | | |   (179)  all_58_18 = e0
% 172.51/26.77  | | | | | | 
% 172.51/26.77  | | | | | | REDUCE: (123), (178) imply:
% 172.51/26.77  | | | | | |   (180)   ~ (all_52_3 = e0)
% 172.51/26.77  | | | | | | 
% 172.51/26.77  | | | | | | REDUCE: (55), (178) imply:
% 172.51/26.77  | | | | | |   (181)   ~ (all_52_6 = e0)
% 172.51/26.77  | | | | | | 
% 172.51/26.77  | | | | | | REDUCE: (130), (178) imply:
% 172.51/26.77  | | | | | |   (182)   ~ (all_52_14 = e0)
% 172.51/26.77  | | | | | | 
% 172.51/26.77  | | | | | | SIMP: (182) implies:
% 172.51/26.77  | | | | | |   (183)   ~ (all_52_14 = e0)
% 172.51/26.77  | | | | | | 
% 172.51/26.77  | | | | | | REDUCE: (149), (178) imply:
% 172.51/26.77  | | | | | |   (184)   ~ (all_10_2 = e0)
% 172.51/26.77  | | | | | | 
% 172.51/26.77  | | | | | | BETA: splitting (82) gives:
% 172.51/26.77  | | | | | | 
% 172.51/26.77  | | | | | | Case 1:
% 172.51/26.77  | | | | | | | 
% 172.51/26.77  | | | | | | |   (185)  all_56_4 = e0
% 172.51/26.77  | | | | | | | 
% 172.51/26.77  | | | | | | | COMBINE_EQS: (95), (185) imply:
% 172.51/26.77  | | | | | | |   (186)  all_52_8 = e0
% 172.51/26.77  | | | | | | | 
% 172.51/26.77  | | | | | | | COMBINE_EQS: (114), (186) imply:
% 172.51/26.77  | | | | | | |   (187)  all_58_24 = e0
% 172.51/26.77  | | | | | | | 
% 172.51/26.77  | | | | | | | REDUCE: (109), (186) imply:
% 172.51/26.77  | | | | | | |   (188)   ~ (all_6_2 = e0)
% 172.51/26.77  | | | | | | | 
% 172.51/26.77  | | | | | | | SIMP: (188) implies:
% 172.51/26.77  | | | | | | |   (189)   ~ (all_6_2 = e0)
% 172.51/26.77  | | | | | | | 
% 172.51/26.77  | | | | | | | BETA: splitting (6) gives:
% 172.51/26.77  | | | | | | | 
% 172.51/26.77  | | | | | | | Case 1:
% 172.51/26.77  | | | | | | | | 
% 172.51/26.77  | | | | | | | |   (190)  all_54_0 = e0
% 172.51/26.77  | | | | | | | | 
% 172.51/26.77  | | | | | | | | REF_CLOSE: (121), (189), (190) are inconsistent by sub-proof
% 172.51/26.77  | | | | | | | |            #984.
% 172.51/26.77  | | | | | | | | 
% 172.51/26.77  | | | | | | | Case 2:
% 172.51/26.77  | | | | | | | | 
% 172.51/26.77  | | | | | | | |   (191)   ~ (all_54_0 = e0)
% 172.51/26.77  | | | | | | | |   (192)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.51/26.77  | | | | | | | | 
% 172.51/26.77  | | | | | | | | BETA: splitting (56) gives:
% 172.51/26.77  | | | | | | | | 
% 172.51/26.77  | | | | | | | | Case 1:
% 172.51/26.77  | | | | | | | | | 
% 172.51/26.77  | | | | | | | | |   (193)  all_54_14 = e0
% 172.51/26.77  | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | COMBINE_EQS: (50), (193) imply:
% 172.51/26.77  | | | | | | | | |   (194)  all_52_11 = e0
% 172.51/26.77  | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | REDUCE: (175), (194) imply:
% 172.51/26.77  | | | | | | | | |   (195)  $false
% 172.51/26.77  | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | CLOSE: (195) is inconsistent.
% 172.51/26.77  | | | | | | | | | 
% 172.51/26.77  | | | | | | | | Case 2:
% 172.51/26.77  | | | | | | | | | 
% 172.51/26.77  | | | | | | | | |   (196)   ~ (all_54_14 = e0)
% 172.51/26.77  | | | | | | | | |   (197)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 172.51/26.77  | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | BETA: splitting (13) gives:
% 172.51/26.77  | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | Case 1:
% 172.51/26.77  | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | |   (198)  all_58_19 = e0
% 172.51/26.77  | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | COMBINE_EQS: (53), (198) imply:
% 172.51/26.77  | | | | | | | | | |   (199)  all_52_3 = e0
% 172.51/26.77  | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | REDUCE: (167), (199) imply:
% 172.51/26.77  | | | | | | | | | |   (200)  $false
% 172.51/26.77  | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | CLOSE: (200) is inconsistent.
% 172.51/26.77  | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | Case 2:
% 172.51/26.77  | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | |   (201)   ~ (all_58_19 = e0)
% 172.51/26.77  | | | | | | | | | |   (202)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.51/26.77  | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | BETA: splitting (47) gives:
% 172.51/26.77  | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | Case 1:
% 172.51/26.77  | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | |   (203)  all_58_27 = e0
% 172.51/26.77  | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | COMBINE_EQS: (49), (203) imply:
% 172.51/26.77  | | | | | | | | | | |   (204)  all_52_11 = e0
% 172.51/26.77  | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | REDUCE: (175), (204) imply:
% 172.51/26.77  | | | | | | | | | | |   (205)  $false
% 172.51/26.77  | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | CLOSE: (205) is inconsistent.
% 172.51/26.77  | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | Case 2:
% 172.51/26.77  | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | |   (206)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.51/26.77  | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | BETA: splitting (97) gives:
% 172.51/26.77  | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | Case 1:
% 172.51/26.77  | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | |   (207)  all_56_12 = e3
% 172.51/26.77  | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | COMBINE_EQS: (4), (207) imply:
% 172.51/26.77  | | | | | | | | | | | |   (208)  all_52_3 = e3
% 172.51/26.77  | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | SIMP: (208) implies:
% 172.51/26.77  | | | | | | | | | | | |   (209)  all_52_3 = e3
% 172.51/26.77  | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | REDUCE: (15), (209) imply:
% 172.51/26.77  | | | | | | | | | | | |   (210)   ~ (all_52_11 = e3)
% 172.51/26.77  | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | SIMP: (210) implies:
% 172.51/26.77  | | | | | | | | | | | |   (211)   ~ (all_52_11 = e3)
% 172.51/26.77  | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | REDUCE: (41), (209) imply:
% 172.51/26.77  | | | | | | | | | | | |   (212)   ~ (all_6_2 = e3)
% 172.51/26.77  | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | SIMP: (212) implies:
% 172.51/26.77  | | | | | | | | | | | |   (213)   ~ (all_6_2 = e3)
% 172.51/26.77  | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | BETA: splitting (202) gives:
% 172.51/26.77  | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | Case 1:
% 172.51/26.77  | | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | |   (214)  all_58_18 = e1
% 172.51/26.77  | | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | | REF_CLOSE: (141), (179), (214) are inconsistent by sub-proof
% 172.51/26.77  | | | | | | | | | | | | |            #888.
% 172.51/26.77  | | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | Case 2:
% 172.51/26.77  | | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | |   (215)  all_58_16 = e3 | all_58_17 = e2
% 172.51/26.77  | | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | | BETA: splitting (215) gives:
% 172.51/26.77  | | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | | Case 1:
% 172.51/26.77  | | | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | | |   (216)  all_58_17 = e2
% 172.51/26.77  | | | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | | | COMBINE_EQS: (52), (216) imply:
% 172.51/26.77  | | | | | | | | | | | | | |   (217)  all_52_1 = e2
% 172.51/26.77  | | | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | | | REDUCE: (112), (217) imply:
% 172.51/26.77  | | | | | | | | | | | | | |   (218)   ~ (all_52_9 = e2)
% 172.51/26.77  | | | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | | | SIMP: (218) implies:
% 172.51/26.77  | | | | | | | | | | | | | |   (219)   ~ (all_52_9 = e2)
% 172.51/26.77  | | | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | | | REDUCE: (43), (217) imply:
% 172.51/26.77  | | | | | | | | | | | | | |   (220)   ~ (all_6_2 = e2)
% 172.51/26.77  | | | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | | | SIMP: (220) implies:
% 172.51/26.77  | | | | | | | | | | | | | |   (221)   ~ (all_6_2 = e2)
% 172.51/26.77  | | | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 172.51/26.77  | | | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | | | Case 1:
% 172.51/26.77  | | | | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | | | |   (222)  all_54_0 = e1
% 172.51/26.77  | | | | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | | | | COMBINE_EQS: (121), (222) imply:
% 172.51/26.77  | | | | | | | | | | | | | | |   (223)  all_6_2 = e1
% 172.51/26.77  | | | | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | | | | SIMP: (223) implies:
% 172.51/26.77  | | | | | | | | | | | | | | |   (224)  all_6_2 = e1
% 172.51/26.77  | | | | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | | | | COMBINE_EQS: (31), (224) imply:
% 172.51/26.77  | | | | | | | | | | | | | | |   (225)  all_12_2 = e1
% 172.51/26.77  | | | | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | | | | REDUCE: (213), (224) imply:
% 172.51/26.77  | | | | | | | | | | | | | | |   (226)   ~ (e3 = e1)
% 172.51/26.77  | | | | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | | | | REDUCE: (151), (224) imply:
% 172.51/26.77  | | | | | | | | | | | | | | |   (227)  op(e0, e1) = all_6_0
% 172.51/26.77  | | | | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | | | | BETA: splitting (86) gives:
% 172.51/26.77  | | | | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | | | | Case 1:
% 172.51/26.77  | | | | | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | | | | |   (228)   ~ (all_12_2 = e1)
% 172.51/26.77  | | | | | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | | | | | REDUCE: (225), (228) imply:
% 172.51/26.77  | | | | | | | | | | | | | | | |   (229)  $false
% 172.51/26.77  | | | | | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | | | | | CLOSE: (229) is inconsistent.
% 172.51/26.77  | | | | | | | | | | | | | | | | 
% 172.51/26.77  | | | | | | | | | | | | | | | Case 2:
% 172.51/26.77  | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | |   (230)   ~ (all_12_0 = e2)
% 172.51/26.78  | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | REDUCE: (152), (230) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | |   (231)   ~ (all_6_0 = e2)
% 172.51/26.78  | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 172.51/26.78  | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | |   (232)  all_58_26 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | COMBINE_EQS: (36), (232) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | |   (233)  all_10_2 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | SIMP: (233) implies:
% 172.51/26.78  | | | | | | | | | | | | | | | | |   (234)  all_10_2 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | REDUCE: (39), (234) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | |   (235)   ~ (all_52_11 = e1)
% 172.51/26.78  | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | BETA: splitting (146) gives:
% 172.51/26.78  | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | |   (236)  all_56_12 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (207), (236) are inconsistent by sub-proof
% 172.51/26.78  | | | | | | | | | | | | | | | | | |            #582.
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | |   (237)  all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | |   (238)  all_54_14 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (235), (238) are inconsistent by sub-proof
% 172.51/26.78  | | | | | | | | | | | | | | | | | | |            #723.
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | |   (239)   ~ (all_54_14 = e1)
% 172.51/26.78  | | | | | | | | | | | | | | | | | | |   (240)  all_54_14 = e3 | all_54_14 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | |   (241)  all_54_14 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (50), (241) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | |   (242)  all_52_11 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (27), (242) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | |   (243)  all_56_14 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (242) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | |   (244)  op(e0, e1) = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (245)  all_54_15 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (103), (245) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (246)  all_14_2 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | SIMP: (246) implies:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (247)  all_14_2 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (247) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (248)  op(e0, e1) = all_58_15
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (128) with all_6_0, all_58_15, e1,
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |              e0, simplifying with (227), (248) gives:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (249)  all_58_15 = all_6_0
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (128) with e2, all_58_15, e1, e0,
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |              simplifying with (244), (248) gives:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (250)  all_58_15 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (250) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (251)  all_6_0 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | SIMP: (251) implies:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (252)  all_6_0 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | REDUCE: (231), (252) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (253)  $false
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | CLOSE: (253) is inconsistent.
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (254)   ~ (all_54_15 = e1)
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | REDUCE: (103), (254) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (255)   ~ (all_14_2 = e1)
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | |   (256)  all_56_13 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (171), (256) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | |   (257)  e1 = e0
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (257) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | |   (258)  $false
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (258) is inconsistent.
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | |   (259)  all_56_14 = e1 | all_56_15 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | |   (260)  all_56_14 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (243), (260) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | |   (261)  e2 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (59), (79), (113), (128), (142), (189),
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | |            (215), (216), (261) are inconsistent by sub-proof
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | |            #346.
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | |   (262)  all_56_15 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (255), (262) are inconsistent by sub-proof
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | |            #876.
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | |   (263)  all_54_14 = e3
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (50), (263) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | |   (264)  all_52_11 = e3
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | REDUCE: (211), (264) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | |   (265)  $false
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | CLOSE: (265) is inconsistent.
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | |   (266)  all_58_24 = e3 | all_58_25 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | REF_CLOSE: (87), (126), (187), (219), (266) are inconsistent
% 172.51/26.78  | | | | | | | | | | | | | | | | |            by sub-proof #921.
% 172.51/26.78  | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | |   (267)  all_54_0 = e3 | all_54_0 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | REF_CLOSE: (121), (213), (221), (267) are inconsistent by
% 172.51/26.78  | | | | | | | | | | | | | | |            sub-proof #843.
% 172.51/26.78  | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | |   (268)  all_58_16 = e3
% 172.51/26.78  | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | COMBINE_EQS: (79), (268) imply:
% 172.51/26.78  | | | | | | | | | | | | | |   (269)  all_6_2 = e3
% 172.51/26.78  | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | REDUCE: (213), (269) imply:
% 172.51/26.78  | | | | | | | | | | | | | |   (270)  $false
% 172.51/26.78  | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | CLOSE: (270) is inconsistent.
% 172.51/26.78  | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | |   (271)   ~ (all_56_12 = e3)
% 172.51/26.78  | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | REDUCE: (4), (271) imply:
% 172.51/26.78  | | | | | | | | | | | |   (272)   ~ (all_52_3 = e3)
% 172.51/26.78  | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | REF_CLOSE: (4), (8), (19), (32), (43), (46), (52), (57),
% 172.51/26.78  | | | | | | | | | | | |            (79), (85), (87), (113), (128), (129), (137),
% 172.51/26.78  | | | | | | | | | | | |            (141), (142), (166), (177), (179), (189), (202),
% 172.51/26.78  | | | | | | | | | | | |            (272) are inconsistent by sub-proof #345.
% 172.51/26.78  | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | 
% 172.51/26.78  | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | 
% 172.51/26.78  | | | | | | | End of split
% 172.51/26.78  | | | | | | | 
% 172.51/26.78  | | | | | | Case 2:
% 172.51/26.78  | | | | | | | 
% 172.51/26.78  | | | | | | |   (273)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 172.51/26.78  | | | | | | | 
% 172.51/26.78  | | | | | | | BETA: splitting (273) gives:
% 172.51/26.78  | | | | | | | 
% 172.51/26.78  | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | 
% 172.51/26.78  | | | | | | | |   (274)  all_56_5 = e0
% 172.51/26.78  | | | | | | | | 
% 172.51/26.78  | | | | | | | | COMBINE_EQS: (14), (274) imply:
% 172.51/26.78  | | | | | | | |   (275)  all_52_9 = e0
% 172.51/26.78  | | | | | | | | 
% 172.51/26.78  | | | | | | | | COMBINE_EQS: (126), (275) imply:
% 172.51/26.78  | | | | | | | |   (276)  all_58_25 = e0
% 172.51/26.78  | | | | | | | | 
% 172.51/26.78  | | | | | | | | REDUCE: (112), (275) imply:
% 172.51/26.78  | | | | | | | |   (277)   ~ (all_52_1 = e0)
% 172.51/26.78  | | | | | | | | 
% 172.51/26.78  | | | | | | | | REDUCE: (40), (275) imply:
% 172.51/26.78  | | | | | | | |   (278)   ~ (all_52_13 = e0)
% 172.51/26.78  | | | | | | | | 
% 172.51/26.78  | | | | | | | | SIMP: (278) implies:
% 172.51/26.78  | | | | | | | |   (279)   ~ (all_52_13 = e0)
% 172.51/26.78  | | | | | | | | 
% 172.51/26.78  | | | | | | | | BETA: splitting (132) gives:
% 172.51/26.78  | | | | | | | | 
% 172.51/26.78  | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | 
% 172.51/26.78  | | | | | | | | |   (280)  all_56_9 = e0
% 172.51/26.78  | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | COMBINE_EQS: (54), (280) imply:
% 172.51/26.78  | | | | | | | | |   (281)  all_52_12 = e0
% 172.51/26.78  | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | SIMP: (281) implies:
% 172.51/26.78  | | | | | | | | |   (282)  all_52_12 = e0
% 172.51/26.78  | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | COMBINE_EQS: (139), (282) imply:
% 172.51/26.78  | | | | | | | | |   (283)  all_58_28 = e0
% 172.51/26.78  | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | REDUCE: (118), (282) imply:
% 172.51/26.78  | | | | | | | | |   (284)   ~ (all_52_4 = e0)
% 172.51/26.78  | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | REDUCE: (1), (282) imply:
% 172.51/26.78  | | | | | | | | |   (285)   ~ (all_14_2 = e0)
% 172.51/26.78  | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | REDUCE: (16), (282) imply:
% 172.51/26.78  | | | | | | | | |   (286)   ~ (all_6_2 = e0)
% 172.51/26.78  | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | SIMP: (286) implies:
% 172.51/26.78  | | | | | | | | |   (287)   ~ (all_6_2 = e0)
% 172.51/26.78  | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | BETA: splitting (67) gives:
% 172.51/26.78  | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | |   (288)  all_54_7 = e0
% 172.51/26.78  | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | REF_CLOSE: (148), (279), (288) are inconsistent by sub-proof
% 172.51/26.78  | | | | | | | | | |            #714.
% 172.51/26.78  | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | |   (289)   ~ (all_54_7 = e0)
% 172.51/26.78  | | | | | | | | | |   (290)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 172.51/26.78  | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | BETA: splitting (13) gives:
% 172.51/26.78  | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | |   (291)  all_58_19 = e0
% 172.51/26.78  | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | COMBINE_EQS: (53), (291) imply:
% 172.51/26.78  | | | | | | | | | | |   (292)  all_52_3 = e0
% 172.51/26.78  | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | REDUCE: (167), (292) imply:
% 172.51/26.78  | | | | | | | | | | |   (293)  $false
% 172.51/26.78  | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | CLOSE: (293) is inconsistent.
% 172.51/26.78  | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | |   (294)   ~ (all_58_19 = e0)
% 172.51/26.78  | | | | | | | | | | |   (295)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.51/26.78  | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | BETA: splitting (47) gives:
% 172.51/26.78  | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | |   (296)  all_58_27 = e0
% 172.51/26.78  | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | COMBINE_EQS: (49), (296) imply:
% 172.51/26.78  | | | | | | | | | | | |   (297)  all_52_11 = e0
% 172.51/26.78  | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | REDUCE: (175), (297) imply:
% 172.51/26.78  | | | | | | | | | | | |   (298)  $false
% 172.51/26.78  | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | CLOSE: (298) is inconsistent.
% 172.51/26.78  | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | |   (299)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.51/26.78  | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | BETA: splitting (34) gives:
% 172.51/26.78  | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | |   (300)  all_58_31 = e0
% 172.51/26.78  | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | COMBINE_EQS: (38), (300) imply:
% 172.51/26.78  | | | | | | | | | | | | |   (301)  all_14_2 = e0
% 172.51/26.78  | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | REDUCE: (23), (301) imply:
% 172.51/26.78  | | | | | | | | | | | | |   (302)  $false
% 172.51/26.78  | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | CLOSE: (302) is inconsistent.
% 172.51/26.78  | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | |   (303)   ~ (all_58_31 = e0)
% 172.51/26.78  | | | | | | | | | | | | |   (304)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.51/26.78  | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | BETA: splitting (42) gives:
% 172.51/26.78  | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | |   (305)  all_56_6 = e3
% 172.51/26.78  | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | REF_CLOSE: (87), (177), (305) are inconsistent by sub-proof
% 172.51/26.78  | | | | | | | | | | | | | |            #574.
% 172.51/26.78  | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | |   (306)   ~ (all_56_6 = e3)
% 172.51/26.78  | | | | | | | | | | | | | |   (307)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.51/26.78  | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | REDUCE: (177), (306) imply:
% 172.51/26.78  | | | | | | | | | | | | | |   (308)   ~ (e3 = e0)
% 172.51/26.78  | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | BETA: splitting (99) gives:
% 172.51/26.78  | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | |   (309)  all_56_4 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | COMBINE_EQS: (95), (309) imply:
% 172.51/26.78  | | | | | | | | | | | | | | |   (310)  all_52_8 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | COMBINE_EQS: (114), (310) imply:
% 172.51/26.78  | | | | | | | | | | | | | | |   (311)  all_58_24 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | REDUCE: (94), (310) imply:
% 172.51/26.78  | | | | | | | | | | | | | | |   (312)   ~ (all_10_2 = e1)
% 172.51/26.78  | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | SIMP: (312) implies:
% 172.51/26.78  | | | | | | | | | | | | | | |   (313)   ~ (all_10_2 = e1)
% 172.51/26.78  | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | BETA: splitting (299) gives:
% 172.51/26.78  | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | |   (314)  all_58_26 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | REF_CLOSE: (36), (313), (314) are inconsistent by sub-proof
% 172.51/26.78  | | | | | | | | | | | | | | | |            #968.
% 172.51/26.78  | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | |   (315)  all_58_24 = e3 | all_58_25 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (136), (276), (311), (315) are inconsistent
% 172.51/26.78  | | | | | | | | | | | | | | | |            by sub-proof #967.
% 172.51/26.78  | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | |   (316)   ~ (all_56_4 = e1)
% 172.51/26.78  | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | REDUCE: (95), (316) imply:
% 172.51/26.78  | | | | | | | | | | | | | | |   (317)   ~ (all_52_8 = e1)
% 172.51/26.78  | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | BETA: splitting (120) gives:
% 172.51/26.78  | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | |   (318)  all_56_0 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | COMBINE_EQS: (46), (318) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | |   (319)  all_6_2 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | COMBINE_EQS: (79), (319) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | |   (320)  all_58_16 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | REDUCE: (43), (319) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | |   (321)   ~ (all_52_1 = e1)
% 172.51/26.78  | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | REDUCE: (41), (319) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | |   (322)   ~ (all_52_3 = e1)
% 172.51/26.78  | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | REDUCE: (84), (319) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | |   (323)   ~ (all_52_4 = e1)
% 172.51/26.78  | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | BETA: splitting (295) gives:
% 172.51/26.78  | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | |   (324)  all_58_18 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | COMBINE_EQS: (179), (324) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | |   (325)  e1 = e0
% 172.51/26.78  | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | REDUCE: (141), (325) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | |   (326)  $false
% 172.51/26.78  | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | CLOSE: (326) is inconsistent.
% 172.51/26.78  | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | |   (327)  all_58_16 = e3 | all_58_17 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | BETA: splitting (327) gives:
% 172.51/26.78  | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | |   (328)  all_58_17 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (52), (328) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | |   (329)  all_52_1 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | SIMP: (329) implies:
% 172.51/26.78  | | | | | | | | | | | | | | | | | |   (330)  all_52_1 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | REDUCE: (137), (330) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | |   (331)   ~ (all_52_3 = e2)
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | SIMP: (331) implies:
% 172.51/26.78  | | | | | | | | | | | | | | | | | |   (332)   ~ (all_52_3 = e2)
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | REDUCE: (98), (330) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | |   (333)   ~ (all_52_13 = e2)
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | SIMP: (333) implies:
% 172.51/26.78  | | | | | | | | | | | | | | | | | |   (334)   ~ (all_52_13 = e2)
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | |   (335)  all_54_12 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (129), (322), (335) are inconsistent by sub-proof
% 172.51/26.78  | | | | | | | | | | | | | | | | | | |            #812.
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | |   (336)   ~ (all_54_12 = e1)
% 172.51/26.78  | | | | | | | | | | | | | | | | | | |   (337)  all_54_12 = e3 | all_54_12 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | BETA: splitting (337) gives:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | |   (338)  all_54_12 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (129), (332), (338) are inconsistent by sub-proof
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | |            #811.
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | |   (339)  all_54_12 = e3
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (129), (339) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | |   (340)  all_52_3 = e3
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | SIMP: (340) implies:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | |   (341)  all_52_3 = e3
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (53), (341) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | |   (342)  all_58_19 = e3
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (343)  all_58_30 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (48), (343) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (344)  all_52_14 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | SIMP: (344) implies:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (345)  all_52_14 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (44), (345) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (346)  all_56_11 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (345) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (347)   ~ (all_52_6 = e1)
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (345) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (348)   ~ (all_52_13 = e1)
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (345) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (349)   ~ (all_14_2 = e1)
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | SIMP: (349) implies:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (350)   ~ (all_14_2 = e1)
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (345) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (351)   ~ (all_10_2 = e1)
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | SIMP: (351) implies:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (352)   ~ (all_10_2 = e1)
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (51) gives:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | |   (353)  all_56_9 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (136), (280), (320), (327), (328), (353) are
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #431.
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | |   (354)  all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (12), (18), (20), (22), (23), (36), (37),
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | |            (38), (59), (62), (65), (68), (71), (72), (87),
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | |            (88), (91), (95), (114), (117), (119), (124),
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | |            (127), (133), (134), (140), (141), (143), (145),
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | |            (147), (148), (156), (171), (172), (173), (179),
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | |            (276), (280), (283), (284), (290), (299), (307),
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | |            (318), (320), (323), (327), (328), (334), (342),
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | |            (343), (346), (347), (348), (350), (352), (354)
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #422.
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (355)  all_58_28 = e3 | all_58_29 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (87), (88), (283), (334), (355) are inconsistent
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #844.
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | |   (356)  all_58_16 = e3
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (320), (356) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | |   (357)  e3 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | REDUCE: (8), (357) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | |   (358)  $false
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | CLOSE: (358) is inconsistent.
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | |   (359)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 172.51/26.78  | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | |   (360)  all_56_1 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | COMBINE_EQS: (2), (360) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | |   (361)  all_52_4 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | REDUCE: (12), (361) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | |   (362)   ~ (all_4_2 = e1)
% 172.51/26.78  | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | SIMP: (362) implies:
% 172.51/26.78  | | | | | | | | | | | | | | | | |   (363)   ~ (all_4_2 = e1)
% 172.51/26.78  | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 172.51/26.78  | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | |   (364)  all_56_1 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (360), (364) are inconsistent by sub-proof
% 172.51/26.78  | | | | | | | | | | | | | | | | | |            #724.
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | |   (365)   ~ (all_56_1 = e2)
% 172.51/26.78  | | | | | | | | | | | | | | | | | |   (366)  all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | REDUCE: (360), (365) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | |   (367)   ~ (e2 = e1)
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | BETA: splitting (135) gives:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | |   (368)  all_56_2 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (85), (368) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | |   (369)  all_52_1 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (52), (369) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | |   (370)  all_58_17 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | REDUCE: (43), (369) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | |   (371)   ~ (all_6_2 = e1)
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | SIMP: (371) implies:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | |   (372)   ~ (all_6_2 = e1)
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | BETA: splitting (295) gives:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | |   (373)  all_58_18 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (179), (373) are inconsistent by sub-proof
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | |            #888.
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | |   (374)  all_58_16 = e3 | all_58_17 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (375)  all_58_17 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (370), (375) are inconsistent by sub-proof
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |            #466.
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (376)  all_58_16 = e3
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (377)   ~ (all_58_17 = e2)
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (79), (376) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (378)  all_6_2 = e3
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (46), (378) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (379)  all_56_0 = e3
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (378) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (380)  op(e3, e3) = e0
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (378) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (381)  op(e3, e3) = all_58_0
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (378) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | |   (382)  op(e3, e3) = e3
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (299) gives:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | |   (383)  all_58_26 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (36), (383) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | |   (384)  all_10_2 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (33), (384) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | |   (385)  all_56_8 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (384) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | |   (386)   ~ (all_52_6 = e1)
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (384) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | |   (387)   ~ (all_52_14 = e1)
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | |   (388)  all_58_30 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (387), (388) are inconsistent by sub-proof
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | |            #552.
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | |   (389)  all_58_28 = e3 | all_58_29 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (389) gives:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | |   (390)  all_58_29 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (88), (390) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | |   (391)  all_52_13 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (391) implies:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | |   (392)  all_52_13 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (392) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | |   (393)   ~ (all_4_2 = e2)
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (393) implies:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | |   (394)   ~ (all_4_2 = e2)
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (44), (57), (119), (128), (136), (143),
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | |            (171), (183), (307), (366), (370), (374), (376),
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | |            (380), (381), (382), (385), (386), (394) are
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #344.
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | |   (395)  all_58_28 = e3
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (395) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | |   (396)  e3 = e0
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (376), (396) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | |   (397)  all_58_16 = e0
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (87), (370), (374), (397) are inconsistent
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #635.
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | |   (398)  all_58_24 = e3 | all_58_25 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (65) gives:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | |   (399)  all_56_0 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (399) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | |   (400)  e3 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (400) imply:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | |   (401)  $false
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (401) is inconsistent.
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | |   (402)   ~ (all_56_0 = e2)
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | |   (403)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | |   (404)  all_56_1 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (360), (404) are inconsistent by sub-proof
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | |            #724.
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | |   (405)  all_56_4 = e2 | all_56_9 = e2
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (57), (95), (114), (136), (276), (280), (398),
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | |            (405) are inconsistent by sub-proof #782.
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | |   (406)  all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (59), (74), (87), (88), (119), (134), (141),
% 172.51/26.78  | | | | | | | | | | | | | | | | | | |            (274), (283), (304), (363), (406) are inconsistent
% 172.51/26.78  | | | | | | | | | | | | | | | | | | |            by sub-proof #729.
% 172.51/26.78  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | |   (407)  all_56_4 = e1 | all_56_9 = e1
% 172.51/26.78  | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | | REF_CLOSE: (95), (141), (280), (317), (407) are inconsistent
% 172.51/26.78  | | | | | | | | | | | | | | | | |            by sub-proof #753.
% 172.51/26.78  | | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | 
% 172.51/26.78  | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | 
% 172.51/26.78  | | | | | | | | |   (408)  all_56_10 = e0 | all_56_11 = e0
% 172.51/26.78  | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | REF_CLOSE: (44), (134), (183), (279), (408) are inconsistent
% 172.51/26.78  | | | | | | | | |            by sub-proof #414.
% 172.51/26.78  | | | | | | | | | 
% 172.51/26.78  | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | 
% 172.51/26.78  | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | 
% 172.51/26.78  | | | | | | | |   (409)  all_56_8 = e0 | all_56_14 = e0
% 172.51/26.78  | | | | | | | | 
% 172.51/26.78  | | | | | | | | REF_CLOSE: (7), (27), (33), (175), (409) are inconsistent by
% 172.51/26.78  | | | | | | | |            sub-proof #914.
% 172.51/26.78  | | | | | | | | 
% 172.51/26.78  | | | | | | | End of split
% 172.51/26.78  | | | | | | | 
% 172.51/26.78  | | | | | | End of split
% 172.51/26.78  | | | | | | 
% 172.51/26.78  | | | | | Case 2:
% 172.51/26.78  | | | | | | 
% 172.51/26.78  | | | | | |   (410)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 172.51/26.78  | | | | | | 
% 172.51/26.78  | | | | | | BETA: splitting (410) gives:
% 172.51/26.78  | | | | | | 
% 172.51/26.78  | | | | | | Case 1:
% 172.51/26.78  | | | | | | | 
% 172.51/26.78  | | | | | | |   (411)  all_56_7 = e0
% 172.51/26.78  | | | | | | | 
% 172.51/26.78  | | | | | | | COMBINE_EQS: (143), (411) imply:
% 172.51/26.78  | | | | | | |   (412)  all_52_6 = e0
% 172.51/26.78  | | | | | | | 
% 172.51/26.78  | | | | | | | REDUCE: (173), (412) imply:
% 172.51/26.78  | | | | | | |   (413)  $false
% 172.51/26.78  | | | | | | | 
% 172.51/26.78  | | | | | | | CLOSE: (413) is inconsistent.
% 172.51/26.78  | | | | | | | 
% 172.51/26.78  | | | | | | Case 2:
% 172.51/26.78  | | | | | | | 
% 172.51/26.78  | | | | | | |   (414)  all_56_8 = e0 | all_56_11 = e0
% 172.51/26.78  | | | | | | | 
% 172.51/26.78  | | | | | | | BETA: splitting (414) gives:
% 172.51/26.78  | | | | | | | 
% 172.51/26.78  | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | 
% 172.51/26.78  | | | | | | | |   (415)  all_56_8 = e0
% 172.51/26.78  | | | | | | | | 
% 172.51/26.78  | | | | | | | | COMBINE_EQS: (33), (415) imply:
% 172.51/26.78  | | | | | | | |   (416)  all_10_2 = e0
% 172.51/26.78  | | | | | | | | 
% 172.51/26.78  | | | | | | | | REDUCE: (7), (416) imply:
% 172.51/26.78  | | | | | | | |   (417)  $false
% 172.51/26.78  | | | | | | | | 
% 172.51/26.78  | | | | | | | | CLOSE: (417) is inconsistent.
% 172.51/26.78  | | | | | | | | 
% 172.51/26.78  | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | 
% 172.51/26.78  | | | | | | | |   (418)  all_56_11 = e0
% 172.51/26.78  | | | | | | | | 
% 172.51/26.78  | | | | | | | | COMBINE_EQS: (44), (418) imply:
% 172.51/26.78  | | | | | | | |   (419)  all_52_14 = e0
% 172.51/26.78  | | | | | | | | 
% 172.51/26.78  | | | | | | | | SIMP: (419) implies:
% 172.51/26.78  | | | | | | | |   (420)  all_52_14 = e0
% 172.51/26.78  | | | | | | | | 
% 172.51/26.78  | | | | | | | | COMBINE_EQS: (48), (420) imply:
% 172.51/26.78  | | | | | | | |   (421)  all_58_30 = e0
% 172.51/26.78  | | | | | | | | 
% 172.51/26.78  | | | | | | | | REDUCE: (130), (420) imply:
% 172.51/26.78  | | | | | | | |   (422)   ~ (all_52_2 = e0)
% 172.51/26.78  | | | | | | | | 
% 172.51/26.78  | | | | | | | | REDUCE: (74), (420) imply:
% 172.51/26.78  | | | | | | | |   (423)   ~ (all_52_13 = e0)
% 172.51/26.78  | | | | | | | | 
% 172.51/26.78  | | | | | | | | REDUCE: (125), (420) imply:
% 172.51/26.78  | | | | | | | |   (424)   ~ (all_14_2 = e0)
% 172.51/26.78  | | | | | | | | 
% 172.51/26.78  | | | | | | | | REDUCE: (122), (420) imply:
% 172.51/26.78  | | | | | | | |   (425)   ~ (all_10_2 = e0)
% 172.51/26.78  | | | | | | | | 
% 172.51/26.78  | | | | | | | | BETA: splitting (82) gives:
% 172.51/26.78  | | | | | | | | 
% 172.51/26.78  | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | 
% 172.51/26.78  | | | | | | | | |   (426)  all_56_4 = e0
% 172.51/26.78  | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | COMBINE_EQS: (95), (426) imply:
% 172.51/26.78  | | | | | | | | |   (427)  all_52_8 = e0
% 172.51/26.78  | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | COMBINE_EQS: (114), (427) imply:
% 172.51/26.78  | | | | | | | | |   (428)  all_58_24 = e0
% 172.51/26.78  | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | REDUCE: (83), (427) imply:
% 172.51/26.78  | | | | | | | | |   (429)   ~ (all_52_9 = e0)
% 172.51/26.78  | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | SIMP: (429) implies:
% 172.51/26.78  | | | | | | | | |   (430)   ~ (all_52_9 = e0)
% 172.51/26.78  | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | BETA: splitting (96) gives:
% 172.51/26.78  | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | |   (431)  all_56_2 = e0
% 172.51/26.78  | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | COMBINE_EQS: (85), (431) imply:
% 172.51/26.78  | | | | | | | | | |   (432)  all_52_1 = e0
% 172.51/26.78  | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | COMBINE_EQS: (52), (432) imply:
% 172.51/26.78  | | | | | | | | | |   (433)  all_58_17 = e0
% 172.51/26.78  | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | REDUCE: (89), (432) imply:
% 172.51/26.78  | | | | | | | | | |   (434)   ~ (all_52_2 = e0)
% 172.51/26.78  | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | REDUCE: (137), (432) imply:
% 172.51/26.78  | | | | | | | | | |   (435)   ~ (all_52_3 = e0)
% 172.51/26.78  | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | REDUCE: (98), (432) imply:
% 172.51/26.78  | | | | | | | | | |   (436)   ~ (all_52_13 = e0)
% 172.51/26.78  | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | REDUCE: (43), (432) imply:
% 172.51/26.78  | | | | | | | | | |   (437)   ~ (all_6_2 = e0)
% 172.51/26.78  | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | SIMP: (437) implies:
% 172.51/26.78  | | | | | | | | | |   (438)   ~ (all_6_2 = e0)
% 172.51/26.78  | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | BETA: splitting (6) gives:
% 172.51/26.78  | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | |   (439)  all_54_0 = e0
% 172.51/26.78  | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | REF_CLOSE: (121), (438), (439) are inconsistent by sub-proof
% 172.51/26.78  | | | | | | | | | | |            #984.
% 172.51/26.78  | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | |   (440)   ~ (all_54_0 = e0)
% 172.51/26.78  | | | | | | | | | | |   (441)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.51/26.78  | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | BETA: splitting (13) gives:
% 172.51/26.78  | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | |   (442)  all_58_19 = e0
% 172.51/26.78  | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | COMBINE_EQS: (53), (442) imply:
% 172.51/26.78  | | | | | | | | | | | |   (443)  all_52_3 = e0
% 172.51/26.78  | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | REDUCE: (167), (443) imply:
% 172.51/26.78  | | | | | | | | | | | |   (444)  $false
% 172.51/26.78  | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | CLOSE: (444) is inconsistent.
% 172.51/26.78  | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | |   (445)   ~ (all_58_19 = e0)
% 172.51/26.78  | | | | | | | | | | | |   (446)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.51/26.78  | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | BETA: splitting (47) gives:
% 172.51/26.78  | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | |   (447)  all_58_27 = e0
% 172.51/26.78  | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | COMBINE_EQS: (49), (447) imply:
% 172.51/26.78  | | | | | | | | | | | | |   (448)  all_52_11 = e0
% 172.51/26.78  | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | REDUCE: (175), (448) imply:
% 172.51/26.78  | | | | | | | | | | | | |   (449)  $false
% 172.51/26.78  | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | CLOSE: (449) is inconsistent.
% 172.51/26.78  | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | |   (450)   ~ (all_58_27 = e0)
% 172.51/26.78  | | | | | | | | | | | | |   (451)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.51/26.78  | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | BETA: splitting (97) gives:
% 172.51/26.78  | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | Case 1:
% 172.51/26.78  | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | |   (452)  all_56_12 = e3
% 172.51/26.78  | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | COMBINE_EQS: (4), (452) imply:
% 172.51/26.78  | | | | | | | | | | | | | |   (453)  all_52_3 = e3
% 172.51/26.78  | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | SIMP: (453) implies:
% 172.51/26.78  | | | | | | | | | | | | | |   (454)  all_52_3 = e3
% 172.51/26.78  | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | COMBINE_EQS: (53), (454) imply:
% 172.51/26.78  | | | | | | | | | | | | | |   (455)  all_58_19 = e3
% 172.51/26.78  | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | REDUCE: (41), (454) imply:
% 172.51/26.78  | | | | | | | | | | | | | |   (456)   ~ (all_6_2 = e3)
% 172.51/26.78  | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | SIMP: (456) implies:
% 172.51/26.78  | | | | | | | | | | | | | |   (457)   ~ (all_6_2 = e3)
% 172.51/26.78  | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | REF_CLOSE: (10), (14), (23), (24), (27), (33), (36), (38),
% 172.51/26.78  | | | | | | | | | | | | | |            (39), (46), (49), (57), (59), (76), (77), (79),
% 172.51/26.78  | | | | | | | | | | | | | |            (87), (88), (99), (116), (121), (126), (133),
% 172.51/26.78  | | | | | | | | | | | | | |            (136), (147), (149), (172), (175), (421), (422),
% 172.51/26.78  | | | | | | | | | | | | | |            (423), (426), (428), (430), (433), (441), (446),
% 172.51/26.78  | | | | | | | | | | | | | |            (451), (455), (457) are inconsistent by sub-proof
% 172.51/26.78  | | | | | | | | | | | | | |            #813.
% 172.51/26.78  | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | |   (458)   ~ (all_56_12 = e3)
% 172.51/26.78  | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | REDUCE: (4), (458) imply:
% 172.51/26.78  | | | | | | | | | | | | | |   (459)   ~ (all_52_3 = e3)
% 172.51/26.78  | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | | REF_CLOSE: (10), (19), (32), (41), (46), (76), (79), (113),
% 172.51/26.78  | | | | | | | | | | | | | |            (121), (123), (128), (129), (136), (142), (166),
% 172.51/26.78  | | | | | | | | | | | | | |            (433), (438), (441), (446), (459) are inconsistent
% 172.51/26.78  | | | | | | | | | | | | | |            by sub-proof #343.
% 172.51/26.78  | | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | | End of split
% 172.51/26.78  | | | | | | | | | | 
% 172.51/26.78  | | | | | | | | | Case 2:
% 172.51/26.78  | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | |   (460)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.51/26.79  | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | REF_CLOSE: (14), (91), (119), (134), (423), (430), (460) are
% 172.51/26.79  | | | | | | | | | |            inconsistent by sub-proof #695.
% 172.51/26.79  | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | End of split
% 172.51/26.79  | | | | | | | | | 
% 172.51/26.79  | | | | | | | | Case 2:
% 172.51/26.79  | | | | | | | | | 
% 172.51/26.79  | | | | | | | | |   (461)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 172.51/26.79  | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | BETA: splitting (110) gives:
% 172.51/26.79  | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | Case 1:
% 172.51/26.79  | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | |   (462)  all_56_0 = e0
% 172.51/26.79  | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | COMBINE_EQS: (46), (462) imply:
% 172.51/26.79  | | | | | | | | | |   (463)  all_6_2 = e0
% 172.51/26.79  | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | REF_CLOSE: (41), (81), (128), (142), (463) are inconsistent
% 172.51/26.79  | | | | | | | | | |            by sub-proof #357.
% 172.51/26.79  | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | Case 2:
% 172.51/26.79  | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | |   (464)   ~ (all_56_0 = e0)
% 172.51/26.79  | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | REDUCE: (46), (464) imply:
% 172.51/26.79  | | | | | | | | | |   (465)   ~ (all_6_2 = e0)
% 172.51/26.79  | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | REF_CLOSE: (4), (7), (14), (27), (33), (46), (85), (105),
% 172.51/26.79  | | | | | | | | | |            (111), (112), (167), (175), (422), (461), (465)
% 172.51/26.79  | | | | | | | | | |            are inconsistent by sub-proof #481.
% 172.51/26.79  | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | End of split
% 172.51/26.79  | | | | | | | | | 
% 172.51/26.79  | | | | | | | | End of split
% 172.51/26.79  | | | | | | | | 
% 172.51/26.79  | | | | | | | End of split
% 172.51/26.79  | | | | | | | 
% 172.51/26.79  | | | | | | End of split
% 172.51/26.79  | | | | | | 
% 172.51/26.79  | | | | | End of split
% 172.51/26.79  | | | | | 
% 172.51/26.79  | | | | Case 2:
% 172.51/26.79  | | | | | 
% 172.51/26.79  | | | | |   (466)   ~ (all_54_13 = e0)
% 172.51/26.79  | | | | |   (467)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 172.51/26.79  | | | | | 
% 172.51/26.79  | | | | | REDUCE: (102), (466) imply:
% 172.51/26.79  | | | | |   (468)   ~ (all_52_7 = e0)
% 172.51/26.79  | | | | | 
% 172.51/26.79  | | | | | BETA: splitting (3) gives:
% 172.51/26.79  | | | | | 
% 172.51/26.79  | | | | | Case 1:
% 172.51/26.79  | | | | | | 
% 172.51/26.79  | | | | | |   (469)  all_56_12 = e0
% 172.51/26.79  | | | | | | 
% 172.51/26.79  | | | | | | REF_CLOSE: (4), (167), (469) are inconsistent by sub-proof #919.
% 172.51/26.79  | | | | | | 
% 172.51/26.79  | | | | | Case 2:
% 172.51/26.79  | | | | | | 
% 172.51/26.79  | | | | | |   (470)  all_56_13 = e0 | all_56_14 = e0
% 172.51/26.79  | | | | | | 
% 172.51/26.79  | | | | | | BETA: splitting (470) gives:
% 172.51/26.79  | | | | | | 
% 172.51/26.79  | | | | | | Case 1:
% 172.51/26.79  | | | | | | | 
% 172.51/26.79  | | | | | | |   (471)  all_56_13 = e0
% 172.51/26.79  | | | | | | | 
% 172.51/26.79  | | | | | | | REF_CLOSE: (80), (468), (471) are inconsistent by sub-proof #942.
% 172.51/26.79  | | | | | | | 
% 172.51/26.79  | | | | | | Case 2:
% 172.51/26.79  | | | | | | | 
% 172.51/26.79  | | | | | | |   (472)  all_56_14 = e0
% 172.51/26.79  | | | | | | | 
% 172.51/26.79  | | | | | | | COMBINE_EQS: (27), (472) imply:
% 172.51/26.79  | | | | | | |   (473)  all_52_11 = e0
% 172.51/26.79  | | | | | | | 
% 172.51/26.79  | | | | | | | SIMP: (473) implies:
% 172.51/26.79  | | | | | | |   (474)  all_52_11 = e0
% 172.51/26.79  | | | | | | | 
% 172.51/26.79  | | | | | | | COMBINE_EQS: (49), (474) imply:
% 172.51/26.79  | | | | | | |   (475)  all_58_27 = e0
% 172.51/26.79  | | | | | | | 
% 172.51/26.79  | | | | | | | REDUCE: (116), (474) imply:
% 172.51/26.79  | | | | | | |   (476)   ~ (all_52_9 = e0)
% 172.51/26.79  | | | | | | | 
% 172.51/26.79  | | | | | | | REF_CLOSE: (1), (2), (4), (5), (6), (8), (9), (10), (11), (12),
% 172.51/26.79  | | | | | | |            (13), (14), (16), (18), (19), (20), (21), (22), (24),
% 172.51/26.79  | | | | | | |            (25), (26), (28), (29), (30), (32), (34), (35), (36),
% 172.51/26.79  | | | | | | |            (38), (40), (41), (43), (44), (45), (46), (48), (51),
% 172.51/26.79  | | | | | | |            (52), (53), (54), (55), (57), (58), (59), (60), (62),
% 172.51/26.79  | | | | | | |            (64), (65), (66), (68), (69), (70), (71), (73), (74),
% 172.51/26.79  | | | | | | |            (76), (77), (78), (79), (80), (81), (84), (85), (87),
% 172.51/26.79  | | | | | | |            (88), (89), (90), (91), (92), (93), (96), (97), (98),
% 172.51/26.79  | | | | | | |            (101), (102), (105), (107), (110), (111), (112), (113),
% 172.51/26.79  | | | | | | |            (117), (118), (119), (120), (121), (123), (126), (128),
% 172.51/26.79  | | | | | | |            (129), (130), (131), (132), (133), (134), (135), (136),
% 172.51/26.79  | | | | | | |            (137), (139), (141), (142), (143), (144), (147), (149),
% 172.51/26.79  | | | | | | |            (150), (151), (153), (166), (167), (467), (468), (475),
% 172.51/26.79  | | | | | | |            (476) are inconsistent by sub-proof #337.
% 172.51/26.79  | | | | | | | 
% 172.51/26.79  | | | | | | End of split
% 172.51/26.79  | | | | | | 
% 172.51/26.79  | | | | | End of split
% 172.51/26.79  | | | | | 
% 172.51/26.79  | | | | End of split
% 172.51/26.79  | | | | 
% 172.51/26.79  | | | End of split
% 172.51/26.79  | | | 
% 172.51/26.79  | | End of split
% 172.51/26.79  | | 
% 172.51/26.79  | End of split
% 172.51/26.79  | 
% 172.51/26.79  End of proof
% 172.51/26.79  
% 172.51/26.79  Sub-proof #337 shows that the following formulas are inconsistent:
% 172.51/26.79  ----------------------------------------------------------------
% 172.51/26.79    (1)   ~ (all_52_12 = all_14_2)
% 172.51/26.79    (2)  all_56_1 = all_52_4
% 172.51/26.79    (3)  all_56_12 = all_52_3
% 172.51/26.79    (4)  op(e1, e3) = all_52_2
% 172.51/26.79    (5)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 172.51/26.79    (6)   ~ (e3 = e1)
% 172.51/26.79    (7)  all_58_23 = all_52_7
% 172.51/26.79    (8)   ~ (all_52_2 = all_6_2)
% 172.51/26.79    (9)   ~ (all_52_3 = all_14_2)
% 172.51/26.79    (10)   ~ (all_52_4 = all_4_2)
% 172.51/26.79    (11)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.51/26.79    (12)  all_56_5 = all_52_9
% 172.51/26.79    (13)   ~ (all_52_12 = all_6_2)
% 172.51/26.79    (14)   ~ (all_52_6 = all_4_2)
% 172.51/26.79    (15)  op(e3, all_6_2) = all_58_0
% 172.51/26.79    (16)  all_56_15 = all_14_2
% 172.51/26.79    (17)  op(e0, e2) = all_52_7
% 172.51/26.79    (18)  all_54_1 = all_52_4
% 172.51/26.79    (19)   ~ (all_52_9 = all_4_2)
% 172.51/26.79    (20)   ~ (all_52_3 = all_52_7)
% 172.51/26.79    (21)  all_54_6 = all_52_9
% 172.51/26.79    (22)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 172.51/26.79    (23)   ~ (all_26_0 = e1) |  ~ (all_26_2 = e2)
% 172.51/26.79    (24)   ~ (all_52_13 = all_4_2)
% 172.51/26.79    (25)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.51/26.79    (26)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.51/26.79    (27)  all_26_0 = all_6_0
% 172.51/26.79    (28)   ~ (all_52_9 = e0)
% 172.51/26.79    (29)  all_58_26 = all_10_2
% 172.51/26.79    (30)  all_58_31 = all_14_2
% 172.51/26.79    (31)   ~ (all_52_9 = all_52_13)
% 172.51/26.79    (32)   ~ (all_52_3 = all_6_2)
% 172.51/26.79    (33)   ~ (all_52_1 = all_6_2)
% 172.51/26.79    (34)  all_56_11 = all_52_14
% 172.51/26.79    (35)   ~ (all_52_6 = all_52_7)
% 172.51/26.79    (36)  all_56_0 = all_6_2
% 172.51/26.79    (37)  all_58_30 = all_52_14
% 172.51/26.79    (38)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 172.51/26.79    (39)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.51/26.79    (40)  all_58_17 = all_52_1
% 172.51/26.79    (41)  all_58_19 = all_52_3
% 172.51/26.79    (42)  all_56_9 = all_52_12
% 172.51/26.79    (43)   ~ (all_52_2 = all_52_6)
% 172.51/26.79    (44)   ~ (e3 = e2)
% 172.51/26.79    (45)   ~ (all_52_4 = all_52_7)
% 172.51/26.79    (46)   ~ (e2 = e1)
% 172.51/26.79    (47)   ~ (all_52_6 = all_10_2)
% 172.51/26.79    (48)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.51/26.79    (49)   ~ (all_52_7 = all_14_2)
% 172.51/26.79    (50)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.51/26.79    (51)  all_26_2 = all_6_2
% 172.51/26.79    (52)   ~ (all_52_13 = all_14_2)
% 172.51/26.79    (53)   ~ (all_52_1 = all_4_2)
% 172.51/26.79    (54)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.51/26.79    (55)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.51/26.79    (56)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.51/26.79    (57)   ~ (all_52_13 = all_52_14)
% 172.51/26.79    (58)  all_58_18 = all_52_2
% 172.51/26.79    (59)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.51/26.79    (60)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.51/26.79    (61)  all_58_16 = all_6_2
% 172.51/26.79    (62)  all_56_13 = all_52_7
% 172.51/26.79    (63)  op(e0, e3) = all_52_3
% 172.51/26.79    (64)   ~ (all_52_4 = all_6_2)
% 172.51/26.79    (65)  all_56_2 = all_52_1
% 172.51/26.79    (66)   ~ (e3 = e0)
% 172.51/26.79    (67)  all_58_29 = all_52_13
% 172.51/26.79    (68)   ~ (all_52_1 = all_52_2)
% 172.51/26.79    (69)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 172.51/26.79    (70)   ~ (all_4_2 = e0)
% 172.51/26.79    (71)   ~ (all_52_6 = all_52_14)
% 172.51/26.79    (72)   ~ (all_52_7 = all_4_2)
% 172.51/26.79    (73)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.51/26.79    (74)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.51/26.79    (75)   ~ (all_52_1 = all_52_13)
% 172.51/26.79    (76)  all_58_20 = all_52_4
% 172.51/26.79    (77)  all_54_13 = all_52_7
% 172.51/26.79    (78)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.51/26.79    (79)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.51/26.79    (80)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 172.51/26.79    (81)  all_56_6 = all_52_2
% 172.51/26.79    (82)   ~ (all_52_1 = all_52_9)
% 172.51/26.79    (83)  op(e3, e3) = all_6_2
% 172.51/26.79    (84)   ~ (all_52_7 = e0)
% 172.51/26.79    (85)  all_58_22 = all_52_6
% 172.51/26.79    (86)  all_58_27 = e0
% 172.51/26.79    (87)   ~ (all_52_4 = all_52_12)
% 172.51/26.79    (88)  all_56_3 = all_4_2
% 172.51/26.79    (89)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.51/26.79    (90)  all_54_0 = all_6_2
% 172.51/26.79    (91)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 172.51/26.79    (92)   ~ (all_52_2 = all_52_3)
% 172.51/26.79    (93)  all_58_25 = all_52_9
% 172.51/26.79    (94)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.51/26.79            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.51/26.79    (95)  all_54_12 = all_52_3
% 172.51/26.79    (96)   ~ (all_52_2 = all_52_14)
% 172.51/26.79    (97)  op(e0, all_14_2) = all_58_15
% 172.51/26.79    (98)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 172.51/26.79    (99)  all_58_21 = all_4_2
% 172.51/26.79    (100)  all_56_10 = all_52_13
% 172.51/26.79    (101)   ~ (all_52_3 = e0)
% 172.51/26.79    (102)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.51/26.79    (103)   ~ (e2 = e0)
% 172.51/26.79    (104)   ~ (all_52_1 = all_52_3)
% 172.51/26.79    (105)  all_58_28 = all_52_12
% 172.51/26.79    (106)   ~ (e1 = e0)
% 172.51/26.79    (107)  op(all_6_2, e3) = e0
% 172.51/26.79    (108)  all_56_7 = all_52_6
% 172.51/26.79    (109)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 172.51/26.79    (110)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.51/26.79           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.51/26.79           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.51/26.79           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.51/26.79           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.51/26.79           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.51/26.79           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.51/26.79           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.51/26.79           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.51/26.79           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.51/26.79             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.51/26.79             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.51/26.79             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.51/26.79             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.51/26.79             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.51/26.79             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.51/26.79             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.51/26.79             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.51/26.79             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.51/26.79             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.51/26.79             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.51/26.79             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.51/26.79             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.51/26.79             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.51/26.79             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.51/26.79             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.51/26.79           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.51/26.79           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.51/26.79           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.51/26.79             all_58_30 = e0 & e1 = e0)
% 172.51/26.79    (111)   ~ (all_52_2 = all_10_2)
% 172.51/26.79    (112)  all_56_0 = e3 | all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3
% 172.51/26.79    (113)  op(e0, all_6_2) = all_6_0
% 172.51/26.79    (114)   ~ (all_52_12 = all_52_13)
% 172.51/26.79  
% 172.51/26.79  Begin of proof
% 172.51/26.79  | 
% 172.51/26.79  | BETA: splitting (60) gives:
% 172.51/26.79  | 
% 172.51/26.79  | Case 1:
% 172.51/26.79  | | 
% 172.51/26.79  | |   (115)  all_56_1 = e0
% 172.51/26.79  | | 
% 172.51/26.79  | | COMBINE_EQS: (2), (115) imply:
% 172.51/26.79  | |   (116)  all_52_4 = e0
% 172.51/26.79  | | 
% 172.51/26.79  | | COMBINE_EQS: (76), (116) imply:
% 172.51/26.79  | |   (117)  all_58_20 = e0
% 172.51/26.79  | | 
% 172.51/26.79  | | REDUCE: (45), (116) imply:
% 172.51/26.79  | |   (118)   ~ (all_52_7 = e0)
% 172.51/26.79  | | 
% 172.51/26.79  | | REDUCE: (87), (116) imply:
% 172.51/26.79  | |   (119)   ~ (all_52_12 = e0)
% 172.51/26.79  | | 
% 172.51/26.79  | | SIMP: (119) implies:
% 172.51/26.79  | |   (120)   ~ (all_52_12 = e0)
% 172.51/26.79  | | 
% 172.51/26.79  | | REDUCE: (64), (116) imply:
% 172.51/26.79  | |   (121)   ~ (all_6_2 = e0)
% 172.51/26.79  | | 
% 172.51/26.79  | | SIMP: (121) implies:
% 172.51/26.79  | |   (122)   ~ (all_6_2 = e0)
% 172.51/26.79  | | 
% 172.51/26.79  | | REDUCE: (10), (116) imply:
% 172.51/26.79  | |   (123)   ~ (all_4_2 = e0)
% 172.51/26.79  | | 
% 172.51/26.79  | | BETA: splitting (73) gives:
% 172.51/26.79  | | 
% 172.51/26.79  | | Case 1:
% 172.51/26.79  | | | 
% 172.51/26.79  | | |   (124)  all_56_2 = e0
% 172.51/26.79  | | | 
% 172.51/26.79  | | | COMBINE_EQS: (65), (124) imply:
% 172.51/26.79  | | |   (125)  all_52_1 = e0
% 172.51/26.79  | | | 
% 172.51/26.79  | | | COMBINE_EQS: (40), (125) imply:
% 172.51/26.79  | | |   (126)  all_58_17 = e0
% 172.51/26.79  | | | 
% 172.51/26.79  | | | REDUCE: (104), (125) imply:
% 172.51/26.79  | | |   (127)   ~ (all_52_3 = e0)
% 172.51/26.79  | | | 
% 172.51/26.79  | | | REDUCE: (75), (125) imply:
% 172.51/26.79  | | |   (128)   ~ (all_52_13 = e0)
% 172.51/26.79  | | | 
% 172.51/26.79  | | | SIMP: (128) implies:
% 172.51/26.79  | | |   (129)   ~ (all_52_13 = e0)
% 172.51/26.79  | | | 
% 172.51/26.79  | | | BETA: splitting (98) gives:
% 172.51/26.79  | | | 
% 172.51/26.79  | | | Case 1:
% 172.51/26.79  | | | | 
% 172.51/26.79  | | | |   (130)  all_56_9 = e0
% 172.51/26.79  | | | | 
% 172.51/26.79  | | | | COMBINE_EQS: (42), (130) imply:
% 172.51/26.79  | | | |   (131)  all_52_12 = e0
% 172.51/26.79  | | | | 
% 172.51/26.79  | | | | REDUCE: (120), (131) imply:
% 172.51/26.79  | | | |   (132)  $false
% 172.51/26.79  | | | | 
% 172.51/26.79  | | | | CLOSE: (132) is inconsistent.
% 172.51/26.79  | | | | 
% 172.51/26.79  | | | Case 2:
% 172.51/26.79  | | | | 
% 172.51/26.79  | | | |   (133)  all_56_10 = e0 | all_56_11 = e0
% 172.51/26.79  | | | | 
% 172.51/26.79  | | | | BETA: splitting (133) gives:
% 172.51/26.79  | | | | 
% 172.51/26.79  | | | | Case 1:
% 172.51/26.79  | | | | | 
% 172.51/26.79  | | | | |   (134)  all_56_10 = e0
% 172.51/26.79  | | | | | 
% 172.51/26.79  | | | | | COMBINE_EQS: (100), (134) imply:
% 172.51/26.79  | | | | |   (135)  all_52_13 = e0
% 172.51/26.79  | | | | | 
% 172.51/26.79  | | | | | REDUCE: (129), (135) imply:
% 172.51/26.79  | | | | |   (136)  $false
% 172.51/26.79  | | | | | 
% 172.51/26.79  | | | | | CLOSE: (136) is inconsistent.
% 172.51/26.79  | | | | | 
% 172.51/26.79  | | | | Case 2:
% 172.51/26.79  | | | | | 
% 172.51/26.79  | | | | |   (137)  all_56_11 = e0
% 172.51/26.79  | | | | | 
% 172.51/26.79  | | | | | BETA: splitting (5) gives:
% 172.51/26.79  | | | | | 
% 172.51/26.79  | | | | | Case 1:
% 172.51/26.79  | | | | | | 
% 172.51/26.79  | | | | | |   (138)  all_54_0 = e0
% 172.51/26.79  | | | | | | 
% 172.51/26.79  | | | | | | REF_CLOSE: (90), (122), (138) are inconsistent by sub-proof #984.
% 172.51/26.79  | | | | | | 
% 172.51/26.79  | | | | | Case 2:
% 172.51/26.79  | | | | | | 
% 172.51/26.79  | | | | | |   (139)   ~ (all_54_0 = e0)
% 172.51/26.79  | | | | | |   (140)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.51/26.79  | | | | | | 
% 172.51/26.79  | | | | | | BETA: splitting (79) gives:
% 172.51/26.79  | | | | | | 
% 172.51/26.79  | | | | | | Case 1:
% 172.51/26.79  | | | | | | | 
% 172.51/26.79  | | | | | | |   (141)  all_58_23 = e0
% 172.51/26.79  | | | | | | | 
% 172.51/26.79  | | | | | | | COMBINE_EQS: (7), (141) imply:
% 172.51/26.79  | | | | | | |   (142)  all_52_7 = e0
% 172.51/26.79  | | | | | | | 
% 172.51/26.79  | | | | | | | REDUCE: (84), (142) imply:
% 172.51/26.79  | | | | | | |   (143)  $false
% 172.51/26.79  | | | | | | | 
% 172.51/26.79  | | | | | | | CLOSE: (143) is inconsistent.
% 172.51/26.79  | | | | | | | 
% 172.51/26.79  | | | | | | Case 2:
% 172.51/26.79  | | | | | | | 
% 172.51/26.79  | | | | | | |   (144)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.51/26.79  | | | | | | | 
% 172.51/26.79  | | | | | | | BETA: splitting (11) gives:
% 172.51/26.79  | | | | | | | 
% 172.51/26.79  | | | | | | | Case 1:
% 172.51/26.79  | | | | | | | | 
% 172.51/26.79  | | | | | | | |   (145)  all_58_19 = e0
% 172.51/26.79  | | | | | | | | 
% 172.51/26.79  | | | | | | | | COMBINE_EQS: (41), (145) imply:
% 172.51/26.79  | | | | | | | |   (146)  all_52_3 = e0
% 172.51/26.79  | | | | | | | | 
% 172.51/26.79  | | | | | | | | REDUCE: (101), (146) imply:
% 172.51/26.79  | | | | | | | |   (147)  $false
% 172.51/26.79  | | | | | | | | 
% 172.51/26.79  | | | | | | | | CLOSE: (147) is inconsistent.
% 172.51/26.79  | | | | | | | | 
% 172.51/26.79  | | | | | | | Case 2:
% 172.51/26.79  | | | | | | | | 
% 172.51/26.79  | | | | | | | |   (148)   ~ (all_58_19 = e0)
% 172.51/26.79  | | | | | | | |   (149)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.51/26.79  | | | | | | | | 
% 172.51/26.79  | | | | | | | | BETA: splitting (74) gives:
% 172.51/26.79  | | | | | | | | 
% 172.51/26.79  | | | | | | | | Case 1:
% 172.51/26.79  | | | | | | | | | 
% 172.51/26.79  | | | | | | | | |   (150)  all_56_12 = e3
% 172.51/26.79  | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | COMBINE_EQS: (3), (150) imply:
% 172.51/26.79  | | | | | | | | |   (151)  all_52_3 = e3
% 172.51/26.79  | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | SIMP: (151) implies:
% 172.51/26.79  | | | | | | | | |   (152)  all_52_3 = e3
% 172.51/26.79  | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | REDUCE: (20), (152) imply:
% 172.51/26.79  | | | | | | | | |   (153)   ~ (all_52_7 = e3)
% 172.51/26.79  | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | SIMP: (153) implies:
% 172.51/26.79  | | | | | | | | |   (154)   ~ (all_52_7 = e3)
% 172.51/26.79  | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | REDUCE: (32), (152) imply:
% 172.51/26.79  | | | | | | | | |   (155)   ~ (all_6_2 = e3)
% 172.51/26.79  | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | SIMP: (155) implies:
% 172.51/26.79  | | | | | | | | |   (156)   ~ (all_6_2 = e3)
% 172.51/26.79  | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | BETA: splitting (149) gives:
% 172.51/26.79  | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | Case 1:
% 172.51/26.79  | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | |   (157)  all_58_18 = e1
% 172.51/26.79  | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | COMBINE_EQS: (58), (157) imply:
% 172.51/26.79  | | | | | | | | | |   (158)  all_52_2 = e1
% 172.51/26.79  | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | REDUCE: (43), (158) imply:
% 172.51/26.79  | | | | | | | | | |   (159)   ~ (all_52_6 = e1)
% 172.51/26.79  | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | SIMP: (159) implies:
% 172.51/26.79  | | | | | | | | | |   (160)   ~ (all_52_6 = e1)
% 172.51/26.79  | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | REDUCE: (8), (158) imply:
% 172.51/26.79  | | | | | | | | | |   (161)   ~ (all_6_2 = e1)
% 172.51/26.79  | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | SIMP: (161) implies:
% 172.51/26.79  | | | | | | | | | |   (162)   ~ (all_6_2 = e1)
% 172.51/26.79  | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | BETA: splitting (140) gives:
% 172.51/26.79  | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | Case 1:
% 172.51/26.79  | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | |   (163)  all_54_0 = e1
% 172.51/26.79  | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | REF_CLOSE: (90), (162), (163) are inconsistent by sub-proof
% 172.51/26.79  | | | | | | | | | | |            #951.
% 172.51/26.79  | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | Case 2:
% 172.51/26.79  | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | |   (164)  all_54_0 = e3 | all_54_0 = e2
% 172.51/26.79  | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | BETA: splitting (59) gives:
% 172.51/26.79  | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | Case 1:
% 172.51/26.79  | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | |   (165)  all_56_0 = e2
% 172.51/26.79  | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | COMBINE_EQS: (36), (165) imply:
% 172.51/26.79  | | | | | | | | | | | |   (166)  all_6_2 = e2
% 172.51/26.79  | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | COMBINE_EQS: (51), (166) imply:
% 172.51/26.79  | | | | | | | | | | | |   (167)  all_26_2 = e2
% 172.51/26.79  | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | REDUCE: (13), (166) imply:
% 172.51/26.79  | | | | | | | | | | | |   (168)   ~ (all_52_12 = e2)
% 172.51/26.79  | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | REDUCE: (113), (166) imply:
% 172.51/26.79  | | | | | | | | | | | |   (169)  op(e0, e2) = all_6_0
% 172.51/26.79  | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | BETA: splitting (144) gives:
% 172.51/26.79  | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | Case 1:
% 172.51/26.79  | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | |   (170)  all_58_22 = e1
% 172.51/26.79  | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | COMBINE_EQS: (85), (170) imply:
% 172.51/26.79  | | | | | | | | | | | | |   (171)  all_52_6 = e1
% 172.51/26.79  | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | REDUCE: (160), (171) imply:
% 172.51/26.79  | | | | | | | | | | | | |   (172)  $false
% 172.51/26.79  | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | CLOSE: (172) is inconsistent.
% 172.51/26.79  | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | Case 2:
% 172.51/26.79  | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | |   (173)  all_58_20 = e3 | all_58_21 = e2
% 172.51/26.79  | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | BETA: splitting (173) gives:
% 172.51/26.79  | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | Case 1:
% 172.51/26.79  | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | |   (174)  all_58_21 = e2
% 172.51/26.79  | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | COMBINE_EQS: (99), (174) imply:
% 172.51/26.79  | | | | | | | | | | | | | |   (175)  all_4_2 = e2
% 172.51/26.79  | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | REDUCE: (72), (175) imply:
% 172.51/26.79  | | | | | | | | | | | | | |   (176)   ~ (all_52_7 = e2)
% 172.51/26.79  | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | REDUCE: (24), (175) imply:
% 172.51/26.79  | | | | | | | | | | | | | |   (177)   ~ (all_52_13 = e2)
% 172.51/26.79  | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | BETA: splitting (39) gives:
% 172.51/26.79  | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | Case 1:
% 172.51/26.79  | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | |   (178)  all_56_9 = e2
% 172.51/26.79  | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | COMBINE_EQS: (42), (178) imply:
% 172.51/26.79  | | | | | | | | | | | | | | |   (179)  all_52_12 = e2
% 172.51/26.79  | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | REDUCE: (168), (179) imply:
% 172.51/26.79  | | | | | | | | | | | | | | |   (180)  $false
% 172.51/26.79  | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | CLOSE: (180) is inconsistent.
% 172.51/26.79  | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | Case 2:
% 172.51/26.79  | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | |   (181)  all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.51/26.79  | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 172.51/26.79  | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | Case 1:
% 172.51/26.79  | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | |   (182)  all_56_10 = e2
% 172.51/26.79  | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | REF_CLOSE: (100), (177), (182) are inconsistent by sub-proof
% 172.51/26.79  | | | | | | | | | | | | | | | |            #517.
% 172.51/26.79  | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | Case 2:
% 172.51/26.79  | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | |   (183)  all_56_11 = e2 | all_56_15 = e2
% 172.51/26.79  | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | BETA: splitting (38) gives:
% 172.51/26.79  | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.79  | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | |   (184)  all_54_13 = e1
% 172.51/26.79  | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | COMBINE_EQS: (77), (184) imply:
% 172.51/26.79  | | | | | | | | | | | | | | | | |   (185)  all_52_7 = e1
% 172.51/26.79  | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | SIMP: (185) implies:
% 172.51/26.79  | | | | | | | | | | | | | | | | |   (186)  all_52_7 = e1
% 172.51/26.79  | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | REDUCE: (17), (186) imply:
% 172.51/26.79  | | | | | | | | | | | | | | | | |   (187)  op(e0, e2) = e1
% 172.51/26.79  | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 172.51/26.79  | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.79  | | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | |   (188)  all_56_11 = e2
% 172.51/26.79  | | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (137), (188) imply:
% 172.51/26.79  | | | | | | | | | | | | | | | | | |   (189)  e2 = e0
% 172.51/26.79  | | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | | REDUCE: (103), (189) imply:
% 172.51/26.79  | | | | | | | | | | | | | | | | | |   (190)  $false
% 172.51/26.79  | | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | | CLOSE: (190) is inconsistent.
% 172.51/26.79  | | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.79  | | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | |   (191)  all_56_15 = e2
% 172.51/26.79  | | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16), (191) imply:
% 172.51/26.79  | | | | | | | | | | | | | | | | | |   (192)  all_14_2 = e2
% 172.51/26.79  | | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | | SIMP: (192) implies:
% 172.51/26.79  | | | | | | | | | | | | | | | | | |   (193)  all_14_2 = e2
% 172.51/26.79  | | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | | REDUCE: (97), (193) imply:
% 172.51/26.79  | | | | | | | | | | | | | | | | | |   (194)  op(e0, e2) = all_58_15
% 172.51/26.79  | | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | | BETA: splitting (23) gives:
% 172.51/26.79  | | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.79  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | | |   (195)   ~ (all_26_0 = e1)
% 172.51/26.79  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | | | REDUCE: (27), (195) imply:
% 172.51/26.79  | | | | | | | | | | | | | | | | | | |   (196)   ~ (all_6_0 = e1)
% 172.51/26.79  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (94) with all_6_0, all_58_15, e2,
% 172.51/26.79  | | | | | | | | | | | | | | | | | | |              e0, simplifying with (169), (194) gives:
% 172.51/26.79  | | | | | | | | | | | | | | | | | | |   (197)  all_58_15 = all_6_0
% 172.51/26.79  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (94) with e1, all_58_15, e2, e0,
% 172.51/26.79  | | | | | | | | | | | | | | | | | | |              simplifying with (187), (194) gives:
% 172.51/26.79  | | | | | | | | | | | | | | | | | | |   (198)  all_58_15 = e1
% 172.51/26.79  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (197), (198) imply:
% 172.51/26.79  | | | | | | | | | | | | | | | | | | |   (199)  all_6_0 = e1
% 172.51/26.79  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | | | SIMP: (199) implies:
% 172.51/26.79  | | | | | | | | | | | | | | | | | | |   (200)  all_6_0 = e1
% 172.51/26.79  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | | | REDUCE: (196), (200) imply:
% 172.51/26.79  | | | | | | | | | | | | | | | | | | |   (201)  $false
% 172.51/26.79  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | | | CLOSE: (201) is inconsistent.
% 172.51/26.79  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.79  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | | |   (202)   ~ (all_26_2 = e2)
% 172.51/26.79  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | | | REDUCE: (167), (202) imply:
% 172.51/26.79  | | | | | | | | | | | | | | | | | | |   (203)  $false
% 172.51/26.79  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | | | CLOSE: (203) is inconsistent.
% 172.51/26.79  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.79  | | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | End of split
% 172.51/26.79  | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.79  | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | |   (204)  all_54_13 = e3 | all_54_13 = e2
% 172.51/26.79  | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | | REF_CLOSE: (77), (154), (176), (204) are inconsistent by
% 172.51/26.79  | | | | | | | | | | | | | | | | |            sub-proof #770.
% 172.51/26.79  | | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | | End of split
% 172.51/26.79  | | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | | End of split
% 172.51/26.79  | | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | End of split
% 172.51/26.79  | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | Case 2:
% 172.51/26.79  | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | |   (205)  all_58_20 = e3
% 172.51/26.79  | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | REF_CLOSE: (66), (117), (205) are inconsistent by sub-proof
% 172.51/26.79  | | | | | | | | | | | | | |            #948.
% 172.51/26.79  | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | End of split
% 172.51/26.79  | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | End of split
% 172.51/26.79  | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | Case 2:
% 172.51/26.79  | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | |   (206)   ~ (all_56_0 = e2)
% 172.51/26.79  | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | REDUCE: (36), (206) imply:
% 172.51/26.79  | | | | | | | | | | | |   (207)   ~ (all_6_2 = e2)
% 172.51/26.79  | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | REF_CLOSE: (90), (156), (164), (207) are inconsistent by
% 172.51/26.79  | | | | | | | | | | | |            sub-proof #944.
% 172.51/26.79  | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | End of split
% 172.51/26.79  | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | End of split
% 172.51/26.79  | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | Case 2:
% 172.51/26.79  | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | |   (208)  all_58_16 = e3 | all_58_17 = e2
% 172.51/26.79  | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | REF_CLOSE: (61), (103), (126), (156), (208) are inconsistent
% 172.51/26.79  | | | | | | | | | |            by sub-proof #814.
% 172.51/26.79  | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | End of split
% 172.51/26.79  | | | | | | | | | 
% 172.51/26.79  | | | | | | | | Case 2:
% 172.51/26.79  | | | | | | | | | 
% 172.51/26.79  | | | | | | | | |   (209)   ~ (all_56_12 = e3)
% 172.51/26.79  | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | REDUCE: (3), (209) imply:
% 172.51/26.79  | | | | | | | | |   (210)   ~ (all_52_3 = e3)
% 172.51/26.79  | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | REF_CLOSE: (8), (15), (25), (32), (36), (58), (61), (83),
% 172.51/26.79  | | | | | | | | |            (90), (91), (92), (94), (95), (103), (107), (122),
% 172.51/26.79  | | | | | | | | |            (126), (140), (149), (210) are inconsistent by
% 172.51/26.79  | | | | | | | | |            sub-proof #343.
% 172.51/26.79  | | | | | | | | | 
% 172.51/26.79  | | | | | | | | End of split
% 172.51/26.79  | | | | | | | | 
% 172.51/26.79  | | | | | | | End of split
% 172.51/26.79  | | | | | | | 
% 172.51/26.79  | | | | | | End of split
% 172.51/26.79  | | | | | | 
% 172.51/26.79  | | | | | End of split
% 172.51/26.79  | | | | | 
% 172.51/26.79  | | | | End of split
% 172.51/26.79  | | | | 
% 172.51/26.79  | | | End of split
% 172.51/26.79  | | | 
% 172.51/26.79  | | Case 2:
% 172.51/26.79  | | | 
% 172.51/26.79  | | |   (211)   ~ (all_56_2 = e0)
% 172.51/26.79  | | |   (212)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.51/26.79  | | | 
% 172.51/26.79  | | | REDUCE: (65), (211) imply:
% 172.51/26.79  | | |   (213)   ~ (all_52_1 = e0)
% 172.51/26.79  | | | 
% 172.51/26.79  | | | BETA: splitting (78) gives:
% 172.51/26.79  | | | 
% 172.51/26.79  | | | Case 1:
% 172.51/26.79  | | | | 
% 172.51/26.79  | | | |   (214)  all_56_0 = e0
% 172.51/26.79  | | | | 
% 172.51/26.79  | | | | COMBINE_EQS: (36), (214) imply:
% 172.51/26.79  | | | |   (215)  all_6_2 = e0
% 172.51/26.79  | | | | 
% 172.51/26.79  | | | | REDUCE: (122), (215) imply:
% 172.51/26.79  | | | |   (216)  $false
% 172.51/26.79  | | | | 
% 172.51/26.79  | | | | CLOSE: (216) is inconsistent.
% 172.51/26.79  | | | | 
% 172.51/26.79  | | | Case 2:
% 172.51/26.79  | | | | 
% 172.51/26.79  | | | |   (217)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.51/26.79  | | | | 
% 172.51/26.79  | | | | BETA: splitting (217) gives:
% 172.51/26.79  | | | | 
% 172.51/26.79  | | | | Case 1:
% 172.51/26.79  | | | | | 
% 172.51/26.79  | | | | |   (218)  all_56_2 = e0
% 172.51/26.79  | | | | | 
% 172.51/26.79  | | | | | COMBINE_EQS: (65), (218) imply:
% 172.51/26.79  | | | | |   (219)  all_52_1 = e0
% 172.51/26.79  | | | | | 
% 172.51/26.79  | | | | | REDUCE: (213), (219) imply:
% 172.51/26.79  | | | | |   (220)  $false
% 172.51/26.79  | | | | | 
% 172.51/26.79  | | | | | CLOSE: (220) is inconsistent.
% 172.51/26.79  | | | | | 
% 172.51/26.79  | | | | Case 2:
% 172.51/26.79  | | | | | 
% 172.51/26.79  | | | | |   (221)  all_56_6 = e0 | all_56_12 = e0
% 172.51/26.79  | | | | | 
% 172.51/26.79  | | | | | BETA: splitting (212) gives:
% 172.51/26.79  | | | | | 
% 172.51/26.79  | | | | | Case 1:
% 172.51/26.79  | | | | | | 
% 172.51/26.79  | | | | | |   (222)  all_56_3 = e0
% 172.51/26.79  | | | | | | 
% 172.51/26.79  | | | | | | COMBINE_EQS: (88), (222) imply:
% 172.51/26.79  | | | | | |   (223)  all_4_2 = e0
% 172.51/26.79  | | | | | | 
% 172.51/26.79  | | | | | | REDUCE: (70), (223) imply:
% 172.51/26.79  | | | | | |   (224)  $false
% 172.51/26.79  | | | | | | 
% 172.51/26.79  | | | | | | CLOSE: (224) is inconsistent.
% 172.51/26.79  | | | | | | 
% 172.51/26.79  | | | | | Case 2:
% 172.51/26.79  | | | | | | 
% 172.51/26.79  | | | | | |   (225)  all_56_5 = e0 | all_56_10 = e0
% 172.51/26.79  | | | | | | 
% 172.51/26.79  | | | | | | BETA: splitting (221) gives:
% 172.51/26.79  | | | | | | 
% 172.51/26.79  | | | | | | Case 1:
% 172.51/26.79  | | | | | | | 
% 172.51/26.79  | | | | | | |   (226)  all_56_6 = e0
% 172.51/26.79  | | | | | | | 
% 172.51/26.79  | | | | | | | COMBINE_EQS: (81), (226) imply:
% 172.51/26.79  | | | | | | |   (227)  all_52_2 = e0
% 172.51/26.79  | | | | | | | 
% 172.51/26.79  | | | | | | | COMBINE_EQS: (58), (227) imply:
% 172.51/26.79  | | | | | | |   (228)  all_58_18 = e0
% 172.51/26.79  | | | | | | | 
% 172.51/26.79  | | | | | | | REDUCE: (92), (227) imply:
% 172.51/26.79  | | | | | | |   (229)   ~ (all_52_3 = e0)
% 172.51/26.79  | | | | | | | 
% 172.51/26.79  | | | | | | | BETA: splitting (225) gives:
% 172.51/26.79  | | | | | | | 
% 172.51/26.79  | | | | | | | Case 1:
% 172.51/26.79  | | | | | | | | 
% 172.51/26.79  | | | | | | | |   (230)  all_56_5 = e0
% 172.51/26.79  | | | | | | | | 
% 172.51/26.79  | | | | | | | | COMBINE_EQS: (12), (230) imply:
% 172.51/26.79  | | | | | | | |   (231)  all_52_9 = e0
% 172.51/26.79  | | | | | | | | 
% 172.51/26.79  | | | | | | | | REDUCE: (28), (231) imply:
% 172.51/26.79  | | | | | | | |   (232)  $false
% 172.51/26.79  | | | | | | | | 
% 172.51/26.79  | | | | | | | | CLOSE: (232) is inconsistent.
% 172.51/26.79  | | | | | | | | 
% 172.51/26.79  | | | | | | | Case 2:
% 172.51/26.79  | | | | | | | | 
% 172.51/26.79  | | | | | | | |   (233)  all_56_10 = e0
% 172.51/26.79  | | | | | | | | 
% 172.51/26.79  | | | | | | | | COMBINE_EQS: (100), (233) imply:
% 172.51/26.79  | | | | | | | |   (234)  all_52_13 = e0
% 172.51/26.79  | | | | | | | | 
% 172.51/26.79  | | | | | | | | COMBINE_EQS: (67), (234) imply:
% 172.51/26.79  | | | | | | | |   (235)  all_58_29 = e0
% 172.51/26.79  | | | | | | | | 
% 172.51/26.79  | | | | | | | | REDUCE: (57), (234) imply:
% 172.51/26.79  | | | | | | | |   (236)   ~ (all_52_14 = e0)
% 172.51/26.79  | | | | | | | | 
% 172.51/26.79  | | | | | | | | SIMP: (236) implies:
% 172.51/26.79  | | | | | | | |   (237)   ~ (all_52_14 = e0)
% 172.51/26.79  | | | | | | | | 
% 172.51/26.79  | | | | | | | | REDUCE: (52), (234) imply:
% 172.51/26.79  | | | | | | | |   (238)   ~ (all_14_2 = e0)
% 172.51/26.79  | | | | | | | | 
% 172.51/26.79  | | | | | | | | SIMP: (238) implies:
% 172.51/26.79  | | | | | | | |   (239)   ~ (all_14_2 = e0)
% 172.51/26.79  | | | | | | | | 
% 172.51/26.79  | | | | | | | | BETA: splitting (5) gives:
% 172.51/26.79  | | | | | | | | 
% 172.51/26.79  | | | | | | | | Case 1:
% 172.51/26.79  | | | | | | | | | 
% 172.51/26.79  | | | | | | | | |   (240)  all_54_0 = e0
% 172.51/26.79  | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | REF_CLOSE: (90), (122), (240) are inconsistent by sub-proof
% 172.51/26.79  | | | | | | | | |            #984.
% 172.51/26.79  | | | | | | | | | 
% 172.51/26.79  | | | | | | | | Case 2:
% 172.51/26.79  | | | | | | | | | 
% 172.51/26.79  | | | | | | | | |   (241)   ~ (all_54_0 = e0)
% 172.51/26.79  | | | | | | | | |   (242)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.51/26.79  | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | BETA: splitting (22) gives:
% 172.51/26.79  | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | Case 1:
% 172.51/26.79  | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | |   (243)  all_54_6 = e0
% 172.51/26.79  | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | REF_CLOSE: (21), (28), (243) are inconsistent by sub-proof
% 172.51/26.79  | | | | | | | | | |            #901.
% 172.51/26.79  | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | Case 2:
% 172.51/26.79  | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | |   (244)   ~ (all_54_6 = e0)
% 172.51/26.79  | | | | | | | | | |   (245)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 172.51/26.79  | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | BETA: splitting (79) gives:
% 172.51/26.79  | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | Case 1:
% 172.51/26.79  | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | |   (246)  all_58_23 = e0
% 172.51/26.79  | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | COMBINE_EQS: (7), (246) imply:
% 172.51/26.79  | | | | | | | | | | |   (247)  all_52_7 = e0
% 172.51/26.79  | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | REDUCE: (84), (247) imply:
% 172.51/26.79  | | | | | | | | | | |   (248)  $false
% 172.51/26.79  | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | CLOSE: (248) is inconsistent.
% 172.51/26.79  | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | Case 2:
% 172.51/26.79  | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | |   (249)   ~ (all_58_23 = e0)
% 172.51/26.79  | | | | | | | | | | |   (250)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.51/26.79  | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | BETA: splitting (11) gives:
% 172.51/26.79  | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | Case 1:
% 172.51/26.79  | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | |   (251)  all_58_19 = e0
% 172.51/26.79  | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | COMBINE_EQS: (41), (251) imply:
% 172.51/26.79  | | | | | | | | | | | |   (252)  all_52_3 = e0
% 172.51/26.79  | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | REDUCE: (101), (252) imply:
% 172.51/26.79  | | | | | | | | | | | |   (253)  $false
% 172.51/26.79  | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | CLOSE: (253) is inconsistent.
% 172.51/26.79  | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | Case 2:
% 172.51/26.79  | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | |   (254)   ~ (all_58_19 = e0)
% 172.51/26.79  | | | | | | | | | | | |   (255)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.51/26.79  | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | BETA: splitting (26) gives:
% 172.51/26.79  | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | Case 1:
% 172.51/26.79  | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | |   (256)  all_58_31 = e0
% 172.51/26.79  | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | COMBINE_EQS: (30), (256) imply:
% 172.51/26.79  | | | | | | | | | | | | |   (257)  all_14_2 = e0
% 172.51/26.79  | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | REDUCE: (239), (257) imply:
% 172.51/26.79  | | | | | | | | | | | | |   (258)  $false
% 172.51/26.79  | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | CLOSE: (258) is inconsistent.
% 172.51/26.79  | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | Case 2:
% 172.51/26.79  | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | |   (259)   ~ (all_58_31 = e0)
% 172.51/26.79  | | | | | | | | | | | | |   (260)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.51/26.79  | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | BETA: splitting (74) gives:
% 172.51/26.79  | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | Case 1:
% 172.51/26.79  | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | |   (261)  all_56_12 = e3
% 172.51/26.79  | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | COMBINE_EQS: (3), (261) imply:
% 172.51/26.79  | | | | | | | | | | | | | |   (262)  all_52_3 = e3
% 172.51/26.79  | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | SIMP: (262) implies:
% 172.51/26.79  | | | | | | | | | | | | | |   (263)  all_52_3 = e3
% 172.51/26.79  | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | COMBINE_EQS: (41), (263) imply:
% 172.51/26.79  | | | | | | | | | | | | | |   (264)  all_58_19 = e3
% 172.51/26.79  | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | REDUCE: (20), (263) imply:
% 172.51/26.79  | | | | | | | | | | | | | |   (265)   ~ (all_52_7 = e3)
% 172.51/26.79  | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | SIMP: (265) implies:
% 172.51/26.79  | | | | | | | | | | | | | |   (266)   ~ (all_52_7 = e3)
% 172.51/26.79  | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | REDUCE: (32), (263) imply:
% 172.51/26.79  | | | | | | | | | | | | | |   (267)   ~ (all_6_2 = e3)
% 172.51/26.79  | | | | | | | | | | | | | | 
% 172.51/26.79  | | | | | | | | | | | | | | SIMP: (267) implies:
% 172.51/26.79  | | | | | | | | | | | | | |   (268)   ~ (all_6_2 = e3)
% 172.51/26.79  | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | REF_CLOSE: (7), (12), (14), (19), (21), (28), (29), (30),
% 172.51/26.80  | | | | | | | | | | | | | |            (33), (35), (36), (37), (40), (47), (53), (54),
% 172.51/26.80  | | | | | | | | | | | | | |            (57), (61), (62), (65), (66), (67), (69), (70),
% 172.51/26.80  | | | | | | | | | | | | | |            (72), (82), (84), (85), (86), (88), (90), (93),
% 172.51/26.80  | | | | | | | | | | | | | |            (99), (100), (102), (105), (106), (108), (109),
% 172.51/26.80  | | | | | | | | | | | | | |            (110), (115), (117), (213), (228), (235), (237),
% 172.51/26.80  | | | | | | | | | | | | | |            (239), (242), (245), (250), (255), (260), (264),
% 172.51/26.80  | | | | | | | | | | | | | |            (266), (268) are inconsistent by sub-proof #340.
% 172.51/26.80  | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | Case 2:
% 172.51/26.80  | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | |   (269)   ~ (all_56_12 = e3)
% 172.51/26.80  | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | REDUCE: (3), (269) imply:
% 172.51/26.80  | | | | | | | | | | | | | |   (270)   ~ (all_52_3 = e3)
% 172.51/26.80  | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | REF_CLOSE: (3), (6), (15), (25), (33), (36), (40), (44),
% 172.51/26.80  | | | | | | | | | | | | | |            (61), (65), (66), (83), (91), (94), (95), (104),
% 172.51/26.80  | | | | | | | | | | | | | |            (106), (107), (122), (226), (228), (255), (270)
% 172.51/26.80  | | | | | | | | | | | | | |            are inconsistent by sub-proof #345.
% 172.51/26.80  | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | End of split
% 172.51/26.80  | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | End of split
% 172.51/26.80  | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | End of split
% 172.51/26.80  | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | End of split
% 172.51/26.80  | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | End of split
% 172.51/26.80  | | | | | | | | | 
% 172.51/26.80  | | | | | | | | End of split
% 172.51/26.80  | | | | | | | | 
% 172.51/26.80  | | | | | | | End of split
% 172.51/26.80  | | | | | | | 
% 172.51/26.80  | | | | | | Case 2:
% 172.51/26.80  | | | | | | | 
% 172.51/26.80  | | | | | | |   (271)  all_56_12 = e0
% 172.51/26.80  | | | | | | | 
% 172.51/26.80  | | | | | | | REF_CLOSE: (3), (101), (271) are inconsistent by sub-proof #919.
% 172.51/26.80  | | | | | | | 
% 172.51/26.80  | | | | | | End of split
% 172.51/26.80  | | | | | | 
% 172.51/26.80  | | | | | End of split
% 172.51/26.80  | | | | | 
% 172.51/26.80  | | | | End of split
% 172.51/26.80  | | | | 
% 172.51/26.80  | | | End of split
% 172.51/26.80  | | | 
% 172.51/26.80  | | End of split
% 172.51/26.80  | | 
% 172.51/26.80  | Case 2:
% 172.51/26.80  | | 
% 172.51/26.80  | |   (272)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.51/26.80  | | 
% 172.51/26.80  | | BETA: splitting (272) gives:
% 172.51/26.80  | | 
% 172.51/26.80  | | Case 1:
% 172.51/26.80  | | | 
% 172.51/26.80  | | |   (273)  all_56_3 = e0
% 172.51/26.80  | | | 
% 172.51/26.80  | | | COMBINE_EQS: (88), (273) imply:
% 172.51/26.80  | | |   (274)  all_4_2 = e0
% 172.51/26.80  | | | 
% 172.51/26.80  | | | REDUCE: (70), (274) imply:
% 172.51/26.80  | | |   (275)  $false
% 172.51/26.80  | | | 
% 172.51/26.80  | | | CLOSE: (275) is inconsistent.
% 172.51/26.80  | | | 
% 172.51/26.80  | | Case 2:
% 172.51/26.80  | | | 
% 172.51/26.80  | | |   (276)  all_56_7 = e0 | all_56_13 = e0
% 172.51/26.80  | | | 
% 172.51/26.80  | | | BETA: splitting (276) gives:
% 172.51/26.80  | | | 
% 172.51/26.80  | | | Case 1:
% 172.51/26.80  | | | | 
% 172.51/26.80  | | | |   (277)  all_56_7 = e0
% 172.51/26.80  | | | | 
% 172.51/26.80  | | | | COMBINE_EQS: (108), (277) imply:
% 172.51/26.80  | | | |   (278)  all_52_6 = e0
% 172.51/26.80  | | | | 
% 172.51/26.80  | | | | COMBINE_EQS: (85), (278) imply:
% 172.51/26.80  | | | |   (279)  all_58_22 = e0
% 172.51/26.80  | | | | 
% 172.51/26.80  | | | | REDUCE: (43), (278) imply:
% 172.51/26.80  | | | |   (280)   ~ (all_52_2 = e0)
% 172.51/26.80  | | | | 
% 172.51/26.80  | | | | REDUCE: (35), (278) imply:
% 172.51/26.80  | | | |   (281)   ~ (all_52_7 = e0)
% 172.51/26.80  | | | | 
% 172.51/26.80  | | | | REDUCE: (71), (278) imply:
% 172.51/26.80  | | | |   (282)   ~ (all_52_14 = e0)
% 172.51/26.80  | | | | 
% 172.51/26.80  | | | | SIMP: (282) implies:
% 172.51/26.80  | | | |   (283)   ~ (all_52_14 = e0)
% 172.51/26.80  | | | | 
% 172.51/26.80  | | | | BETA: splitting (80) gives:
% 172.51/26.80  | | | | 
% 172.51/26.80  | | | | Case 1:
% 172.51/26.80  | | | | | 
% 172.51/26.80  | | | | |   (284)  all_56_0 = e0
% 172.51/26.80  | | | | | 
% 172.51/26.80  | | | | | COMBINE_EQS: (36), (284) imply:
% 172.51/26.80  | | | | |   (285)  all_6_2 = e0
% 172.51/26.80  | | | | | 
% 172.51/26.80  | | | | | REF_CLOSE: (32), (63), (94), (107), (285) are inconsistent by
% 172.51/26.80  | | | | |            sub-proof #357.
% 172.51/26.80  | | | | | 
% 172.51/26.80  | | | | Case 2:
% 172.51/26.80  | | | | | 
% 172.51/26.80  | | | | |   (286)   ~ (all_56_0 = e0)
% 172.51/26.80  | | | | | 
% 172.51/26.80  | | | | | REDUCE: (36), (286) imply:
% 172.51/26.80  | | | | |   (287)   ~ (all_6_2 = e0)
% 172.51/26.80  | | | | | 
% 172.51/26.80  | | | | | BETA: splitting (78) gives:
% 172.51/26.80  | | | | | 
% 172.51/26.80  | | | | | Case 1:
% 172.51/26.80  | | | | | | 
% 172.51/26.80  | | | | | |   (288)  all_56_0 = e0
% 172.51/26.80  | | | | | | 
% 172.51/26.80  | | | | | | COMBINE_EQS: (36), (288) imply:
% 172.51/26.80  | | | | | |   (289)  all_6_2 = e0
% 172.51/26.80  | | | | | | 
% 172.51/26.80  | | | | | | REDUCE: (287), (289) imply:
% 172.51/26.80  | | | | | |   (290)  $false
% 172.51/26.80  | | | | | | 
% 172.51/26.80  | | | | | | CLOSE: (290) is inconsistent.
% 172.51/26.80  | | | | | | 
% 172.51/26.80  | | | | | Case 2:
% 172.51/26.80  | | | | | | 
% 172.51/26.80  | | | | | |   (291)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.51/26.80  | | | | | | 
% 172.51/26.80  | | | | | | BETA: splitting (291) gives:
% 172.51/26.80  | | | | | | 
% 172.51/26.80  | | | | | | Case 1:
% 172.51/26.80  | | | | | | | 
% 172.51/26.80  | | | | | | |   (292)  all_56_2 = e0
% 172.51/26.80  | | | | | | | 
% 172.51/26.80  | | | | | | | COMBINE_EQS: (65), (292) imply:
% 172.51/26.80  | | | | | | |   (293)  all_52_1 = e0
% 172.51/26.80  | | | | | | | 
% 172.51/26.80  | | | | | | | COMBINE_EQS: (40), (293) imply:
% 172.51/26.80  | | | | | | |   (294)  all_58_17 = e0
% 172.51/26.80  | | | | | | | 
% 172.51/26.80  | | | | | | | REDUCE: (68), (293) imply:
% 172.51/26.80  | | | | | | |   (295)   ~ (all_52_2 = e0)
% 172.51/26.80  | | | | | | | 
% 172.51/26.80  | | | | | | | REDUCE: (104), (293) imply:
% 172.51/26.80  | | | | | | |   (296)   ~ (all_52_3 = e0)
% 172.51/26.80  | | | | | | | 
% 172.51/26.80  | | | | | | | REDUCE: (75), (293) imply:
% 172.51/26.80  | | | | | | |   (297)   ~ (all_52_13 = e0)
% 172.51/26.80  | | | | | | | 
% 172.51/26.80  | | | | | | | SIMP: (297) implies:
% 172.51/26.80  | | | | | | |   (298)   ~ (all_52_13 = e0)
% 172.51/26.80  | | | | | | | 
% 172.51/26.80  | | | | | | | BETA: splitting (98) gives:
% 172.51/26.80  | | | | | | | 
% 172.51/26.80  | | | | | | | Case 1:
% 172.51/26.80  | | | | | | | | 
% 172.51/26.80  | | | | | | | |   (299)  all_56_9 = e0
% 172.51/26.80  | | | | | | | | 
% 172.51/26.80  | | | | | | | | COMBINE_EQS: (42), (299) imply:
% 172.51/26.80  | | | | | | | |   (300)  all_52_12 = e0
% 172.51/26.80  | | | | | | | | 
% 172.51/26.80  | | | | | | | | COMBINE_EQS: (105), (300) imply:
% 172.51/26.80  | | | | | | | |   (301)  all_58_28 = e0
% 172.51/26.80  | | | | | | | | 
% 172.51/26.80  | | | | | | | | REDUCE: (87), (300) imply:
% 172.51/26.80  | | | | | | | |   (302)   ~ (all_52_4 = e0)
% 172.51/26.80  | | | | | | | | 
% 172.51/26.80  | | | | | | | | REDUCE: (1), (300) imply:
% 172.51/26.80  | | | | | | | |   (303)   ~ (all_14_2 = e0)
% 172.51/26.80  | | | | | | | | 
% 172.51/26.80  | | | | | | | | SIMP: (303) implies:
% 172.51/26.80  | | | | | | | |   (304)   ~ (all_14_2 = e0)
% 172.51/26.80  | | | | | | | | 
% 172.51/26.80  | | | | | | | | REDUCE: (13), (300) imply:
% 172.51/26.80  | | | | | | | |   (305)   ~ (all_6_2 = e0)
% 172.51/26.80  | | | | | | | | 
% 172.51/26.80  | | | | | | | | BETA: splitting (5) gives:
% 172.51/26.80  | | | | | | | | 
% 172.51/26.80  | | | | | | | | Case 1:
% 172.51/26.80  | | | | | | | | | 
% 172.51/26.80  | | | | | | | | |   (306)  all_54_0 = e0
% 172.51/26.80  | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | REF_CLOSE: (90), (287), (306) are inconsistent by sub-proof
% 172.51/26.80  | | | | | | | | |            #984.
% 172.51/26.80  | | | | | | | | | 
% 172.51/26.80  | | | | | | | | Case 2:
% 172.51/26.80  | | | | | | | | | 
% 172.51/26.80  | | | | | | | | |   (307)   ~ (all_54_0 = e0)
% 172.51/26.80  | | | | | | | | |   (308)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.51/26.80  | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | BETA: splitting (55) gives:
% 172.51/26.80  | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | Case 1:
% 172.51/26.80  | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | |   (309)  all_54_1 = e0
% 172.51/26.80  | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | REF_CLOSE: (18), (302), (309) are inconsistent by sub-proof
% 172.51/26.80  | | | | | | | | | |            #866.
% 172.51/26.80  | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | Case 2:
% 172.51/26.80  | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | |   (310)   ~ (all_54_1 = e0)
% 172.51/26.80  | | | | | | | | | |   (311)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 172.51/26.80  | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | BETA: splitting (79) gives:
% 172.51/26.80  | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | Case 1:
% 172.51/26.80  | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | |   (312)  all_58_23 = e0
% 172.51/26.80  | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | COMBINE_EQS: (7), (312) imply:
% 172.51/26.80  | | | | | | | | | | |   (313)  all_52_7 = e0
% 172.51/26.80  | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | REDUCE: (84), (313) imply:
% 172.51/26.80  | | | | | | | | | | |   (314)  $false
% 172.51/26.80  | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | CLOSE: (314) is inconsistent.
% 172.51/26.80  | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | Case 2:
% 172.51/26.80  | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | |   (315)   ~ (all_58_23 = e0)
% 172.51/26.80  | | | | | | | | | | |   (316)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.51/26.80  | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | BETA: splitting (11) gives:
% 172.51/26.80  | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | Case 1:
% 172.51/26.80  | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | |   (317)  all_58_19 = e0
% 172.51/26.80  | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | COMBINE_EQS: (41), (317) imply:
% 172.51/26.80  | | | | | | | | | | | |   (318)  all_52_3 = e0
% 172.51/26.80  | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | REDUCE: (101), (318) imply:
% 172.51/26.80  | | | | | | | | | | | |   (319)  $false
% 172.51/26.80  | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | CLOSE: (319) is inconsistent.
% 172.51/26.80  | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | Case 2:
% 172.51/26.80  | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | |   (320)   ~ (all_58_19 = e0)
% 172.51/26.80  | | | | | | | | | | | |   (321)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.51/26.80  | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | BETA: splitting (26) gives:
% 172.51/26.80  | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | Case 1:
% 172.51/26.80  | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | |   (322)  all_58_31 = e0
% 172.51/26.80  | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | COMBINE_EQS: (30), (322) imply:
% 172.51/26.80  | | | | | | | | | | | | |   (323)  all_14_2 = e0
% 172.51/26.80  | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | REDUCE: (304), (323) imply:
% 172.51/26.80  | | | | | | | | | | | | |   (324)  $false
% 172.51/26.80  | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | CLOSE: (324) is inconsistent.
% 172.51/26.80  | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | Case 2:
% 172.51/26.80  | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | |   (325)   ~ (all_58_31 = e0)
% 172.51/26.80  | | | | | | | | | | | | |   (326)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.51/26.80  | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | BETA: splitting (112) gives:
% 172.51/26.80  | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | Case 1:
% 172.51/26.80  | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | |   (327)  all_56_0 = e3
% 172.51/26.80  | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | COMBINE_EQS: (36), (327) imply:
% 172.51/26.80  | | | | | | | | | | | | | |   (328)  all_6_2 = e3
% 172.51/26.80  | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | REF_CLOSE: (15), (83), (94), (107), (287), (328) are
% 172.51/26.80  | | | | | | | | | | | | | |            inconsistent by sub-proof #360.
% 172.51/26.80  | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | Case 2:
% 172.51/26.80  | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | |   (329)   ~ (all_56_0 = e3)
% 172.51/26.80  | | | | | | | | | | | | | |   (330)  all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3
% 172.51/26.80  | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | REDUCE: (36), (329) imply:
% 172.51/26.80  | | | | | | | | | | | | | |   (331)   ~ (all_6_2 = e3)
% 172.51/26.80  | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | BETA: splitting (330) gives:
% 172.51/26.80  | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | Case 1:
% 172.51/26.80  | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | |   (332)  all_56_1 = e3
% 172.51/26.80  | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | COMBINE_EQS: (2), (332) imply:
% 172.51/26.80  | | | | | | | | | | | | | | |   (333)  all_52_4 = e3
% 172.51/26.80  | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | REDUCE: (45), (333) imply:
% 172.51/26.80  | | | | | | | | | | | | | | |   (334)   ~ (all_52_7 = e3)
% 172.51/26.80  | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | SIMP: (334) implies:
% 172.51/26.80  | | | | | | | | | | | | | | |   (335)   ~ (all_52_7 = e3)
% 172.51/26.80  | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | REDUCE: (64), (333) imply:
% 172.51/26.80  | | | | | | | | | | | | | | |   (336)   ~ (all_6_2 = e3)
% 172.51/26.80  | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | REF_CLOSE: (3), (6), (8), (9), (16), (25), (29), (30), (34),
% 172.51/26.80  | | | | | | | | | | | | | | |            (36), (37), (38), (41), (48), (49), (50), (56),
% 172.51/26.80  | | | | | | | | | | | | | | |            (58), (59), (61), (66), (67), (72), (77), (81),
% 172.51/26.80  | | | | | | | | | | | | | | |            (84), (86), (90), (92), (96), (99), (100), (101),
% 172.51/26.80  | | | | | | | | | | | | | | |            (103), (110), (111), (279), (280), (292), (294),
% 172.51/26.80  | | | | | | | | | | | | | | |            (298), (299), (301), (304), (308), (321), (326),
% 172.51/26.80  | | | | | | | | | | | | | | |            (331), (335) are inconsistent by sub-proof #339.
% 172.51/26.80  | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | Case 2:
% 172.51/26.80  | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | |   (337)   ~ (all_56_1 = e3)
% 172.51/26.80  | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | REDUCE: (2), (337) imply:
% 172.51/26.80  | | | | | | | | | | | | | | |   (338)   ~ (all_52_4 = e3)
% 172.51/26.80  | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 172.51/26.80  | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | Case 1:
% 172.51/26.80  | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | |   (339)  all_58_22 = e1
% 172.51/26.80  | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | REF_CLOSE: (106), (279), (339) are inconsistent by sub-proof
% 172.51/26.80  | | | | | | | | | | | | | | | |            #923.
% 172.51/26.80  | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | Case 2:
% 172.51/26.80  | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | |   (340)  all_58_20 = e3 | all_58_21 = e2
% 172.51/26.80  | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | BETA: splitting (340) gives:
% 172.51/26.80  | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.80  | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | |   (341)  all_58_21 = e2
% 172.51/26.80  | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | COMBINE_EQS: (99), (341) imply:
% 172.51/26.80  | | | | | | | | | | | | | | | | |   (342)  all_4_2 = e2
% 172.51/26.80  | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | REDUCE: (72), (342) imply:
% 172.51/26.80  | | | | | | | | | | | | | | | | |   (343)   ~ (all_52_7 = e2)
% 172.51/26.80  | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | BETA: splitting (50) gives:
% 172.51/26.80  | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.80  | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | |   (344)  all_56_0 = e2
% 172.51/26.80  | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (36), (344) imply:
% 172.51/26.80  | | | | | | | | | | | | | | | | | |   (345)  all_6_2 = e2
% 172.51/26.80  | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | REDUCE: (64), (345) imply:
% 172.51/26.80  | | | | | | | | | | | | | | | | | |   (346)   ~ (all_52_4 = e2)
% 172.51/26.80  | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | BETA: splitting (89) gives:
% 172.51/26.80  | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | |   (347)  all_56_0 = e1
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (344), (347) imply:
% 172.51/26.80  | | | | | | | | | | | | | | | | | | |   (348)  e2 = e1
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | REDUCE: (46), (348) imply:
% 172.51/26.80  | | | | | | | | | | | | | | | | | | |   (349)  $false
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | CLOSE: (349) is inconsistent.
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | |   (350)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | BETA: splitting (350) gives:
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | |   (351)  all_56_1 = e1
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2), (351) imply:
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | |   (352)  all_52_4 = e1
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (352) imply:
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | |   (353)   ~ (all_52_7 = e1)
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | SIMP: (353) implies:
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | |   (354)   ~ (all_52_7 = e1)
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | BETA: splitting (38) gives:
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | |   (355)  all_54_13 = e1
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (77), (354), (355) are inconsistent by sub-proof
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | |            #338.
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | |   (356)  all_54_13 = e3 | all_54_13 = e2
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (356) gives:
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | |   (357)  all_54_13 = e2
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (77), (343), (357) are inconsistent by sub-proof
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | |            #771.
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | |   (358)  all_54_13 = e3
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (77), (358) imply:
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | |   (359)  all_52_7 = e3
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | | SIMP: (359) implies:
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | |   (360)  all_52_7 = e3
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (360) imply:
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | |   (361)   ~ (all_52_3 = e3)
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (32), (58), (61), (90), (91), (92), (95),
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | |            (103), (294), (308), (321), (331), (361) are
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #806.
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | |   (362)   ~ (all_56_1 = e1)
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (362) imply:
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | |   (363)   ~ (all_52_4 = e1)
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (311), (338), (346), (363) are inconsistent
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | |            by sub-proof #689.
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.80  | | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | End of split
% 172.51/26.80  | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.80  | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | |   (364)   ~ (all_56_0 = e2)
% 172.51/26.80  | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | REDUCE: (36), (364) imply:
% 172.51/26.80  | | | | | | | | | | | | | | | | | |   (365)   ~ (all_6_2 = e2)
% 172.51/26.80  | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (90), (94), (107), (280), (308), (331), (365)
% 172.51/26.80  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #352.
% 172.51/26.80  | | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | End of split
% 172.51/26.80  | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | Case 2:
% 172.51/26.80  | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | |   (366)  all_58_20 = e3
% 172.51/26.80  | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | COMBINE_EQS: (76), (366) imply:
% 172.51/26.80  | | | | | | | | | | | | | | | | |   (367)  all_52_4 = e3
% 172.51/26.80  | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | REDUCE: (338), (367) imply:
% 172.51/26.80  | | | | | | | | | | | | | | | | |   (368)  $false
% 172.51/26.80  | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | | CLOSE: (368) is inconsistent.
% 172.51/26.80  | | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | | End of split
% 172.51/26.80  | | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | | End of split
% 172.51/26.80  | | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | | End of split
% 172.51/26.80  | | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | | End of split
% 172.51/26.80  | | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | | End of split
% 172.51/26.80  | | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | | End of split
% 172.51/26.80  | | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | | End of split
% 172.51/26.80  | | | | | | | | | | 
% 172.51/26.80  | | | | | | | | | End of split
% 172.51/26.80  | | | | | | | | | 
% 172.51/26.80  | | | | | | | | End of split
% 172.51/26.80  | | | | | | | | 
% 172.51/26.80  | | | | | | | Case 2:
% 172.51/26.80  | | | | | | | | 
% 172.51/26.80  | | | | | | | |   (369)  all_56_10 = e0 | all_56_11 = e0
% 172.51/26.80  | | | | | | | | 
% 172.51/26.80  | | | | | | | | REF_CLOSE: (34), (100), (283), (298), (369) are inconsistent by
% 172.51/26.80  | | | | | | | |            sub-proof #414.
% 172.51/26.80  | | | | | | | | 
% 172.51/26.80  | | | | | | | End of split
% 172.51/26.80  | | | | | | | 
% 172.51/26.80  | | | | | | Case 2:
% 172.51/26.80  | | | | | | | 
% 172.51/26.80  | | | | | | |   (370)  all_56_6 = e0 | all_56_12 = e0
% 172.51/26.80  | | | | | | | 
% 172.51/26.80  | | | | | | | REF_CLOSE: (3), (81), (101), (280), (370) are inconsistent by
% 172.51/26.80  | | | | | | |            sub-proof #918.
% 172.51/26.80  | | | | | | | 
% 172.51/26.80  | | | | | | End of split
% 172.51/26.80  | | | | | | 
% 172.51/26.80  | | | | | End of split
% 172.51/26.80  | | | | | 
% 172.51/26.80  | | | | End of split
% 172.51/26.80  | | | | 
% 172.51/26.80  | | | Case 2:
% 172.51/26.80  | | | | 
% 172.51/26.80  | | | |   (371)  all_56_13 = e0
% 172.51/26.80  | | | | 
% 172.51/26.80  | | | | REF_CLOSE: (62), (84), (371) are inconsistent by sub-proof #942.
% 172.51/26.80  | | | | 
% 172.51/26.80  | | | End of split
% 172.51/26.80  | | | 
% 172.51/26.80  | | End of split
% 172.51/26.80  | | 
% 172.51/26.80  | End of split
% 172.51/26.80  | 
% 172.51/26.80  End of proof
% 172.51/26.80  
% 172.51/26.80  Sub-proof #338 shows that the following formulas are inconsistent:
% 172.51/26.80  ----------------------------------------------------------------
% 172.51/26.80    (1)  all_54_13 = all_52_7
% 172.51/26.80    (2)  all_54_13 = e1
% 172.51/26.80    (3)   ~ (all_52_7 = e1)
% 172.51/26.80  
% 172.51/26.80  Begin of proof
% 172.51/26.80  | 
% 172.51/26.80  | COMBINE_EQS: (1), (2) imply:
% 172.51/26.80  |   (4)  all_52_7 = e1
% 172.51/26.80  | 
% 172.51/26.80  | SIMP: (4) implies:
% 172.51/26.80  |   (5)  all_52_7 = e1
% 172.51/26.80  | 
% 172.51/26.80  | REDUCE: (3), (5) imply:
% 172.51/26.80  |   (6)  $false
% 172.51/26.80  | 
% 172.51/26.80  | CLOSE: (6) is inconsistent.
% 172.51/26.80  | 
% 172.51/26.80  End of proof
% 172.51/26.80  
% 172.51/26.80  Sub-proof #339 shows that the following formulas are inconsistent:
% 172.51/26.80  ----------------------------------------------------------------
% 172.51/26.80    (1)  all_56_12 = all_52_3
% 172.51/26.80    (2)   ~ (e3 = e1)
% 172.51/26.80    (3)   ~ (all_52_2 = all_6_2)
% 172.51/26.80    (4)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.51/26.80    (5)   ~ (all_52_3 = all_14_2)
% 172.51/26.80    (6)  all_56_15 = all_14_2
% 172.51/26.80    (7)   ~ (all_14_2 = e0)
% 172.51/26.80    (8)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.51/26.80    (9)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.51/26.80    (10)  all_58_26 = all_10_2
% 172.51/26.80    (11)  all_58_31 = all_14_2
% 172.51/26.80    (12)  all_56_9 = e0
% 172.51/26.80    (13)  all_56_11 = all_52_14
% 172.51/26.80    (14)  all_56_0 = all_6_2
% 172.51/26.80    (15)  all_58_30 = all_52_14
% 172.51/26.80    (16)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 172.51/26.80    (17)  all_58_19 = all_52_3
% 172.51/26.80    (18)  all_58_22 = e0
% 172.51/26.80    (19)  all_56_2 = e0
% 172.51/26.80    (20)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.51/26.80    (21)   ~ (all_52_2 = e0)
% 172.51/26.80    (22)   ~ (all_52_7 = all_14_2)
% 172.51/26.80    (23)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.51/26.80    (24)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.51/26.80    (25)   ~ (all_6_2 = e3)
% 172.51/26.80    (26)  all_58_28 = e0
% 172.51/26.80    (27)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.51/26.80    (28)  all_58_18 = all_52_2
% 172.51/26.80    (29)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.51/26.80    (30)  all_58_16 = all_6_2
% 172.51/26.80    (31)   ~ (e3 = e0)
% 172.51/26.80    (32)  all_58_29 = all_52_13
% 172.51/26.80    (33)   ~ (all_52_13 = e0)
% 172.51/26.80    (34)   ~ (all_52_7 = all_4_2)
% 172.51/26.80    (35)  all_54_13 = all_52_7
% 172.51/26.80    (36)  all_58_17 = e0
% 172.51/26.80    (37)   ~ (all_52_7 = e3)
% 172.51/26.80    (38)  all_56_6 = all_52_2
% 172.51/26.80    (39)   ~ (all_52_7 = e0)
% 172.51/26.80    (40)  all_58_27 = e0
% 172.51/26.80    (41)  all_54_0 = all_6_2
% 172.51/26.80    (42)   ~ (all_52_2 = all_52_3)
% 172.51/26.80    (43)   ~ (all_52_2 = all_52_14)
% 172.51/26.80    (44)  all_58_21 = all_4_2
% 172.51/26.80    (45)  all_56_10 = all_52_13
% 172.51/26.80    (46)   ~ (all_52_3 = e0)
% 172.51/26.80    (47)   ~ (e2 = e0)
% 172.51/26.80    (48)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.51/26.80          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.51/26.80          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.51/26.80          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.51/26.80          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.51/26.80          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.51/26.80          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.51/26.80          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.51/26.80          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.51/26.80          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.51/26.80            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.51/26.80            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.51/26.80            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.51/26.80            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.51/26.80            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.51/26.80            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.51/26.80            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.51/26.80            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.51/26.80            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.51/26.80            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.51/26.80            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.51/26.80            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.51/26.80            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.51/26.80            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.51/26.80            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.51/26.80            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.51/26.80          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.51/26.80          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.51/26.80          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.51/26.80            all_58_30 = e0 & e1 = e0)
% 172.51/26.80    (49)   ~ (all_52_2 = all_10_2)
% 172.51/26.80  
% 172.51/26.80  Begin of proof
% 172.51/26.80  | 
% 172.51/26.80  | BETA: splitting (4) gives:
% 172.51/26.80  | 
% 172.51/26.80  | Case 1:
% 172.51/26.80  | | 
% 172.51/26.80  | |   (50)  all_58_18 = e1
% 172.51/26.80  | | 
% 172.51/26.80  | | COMBINE_EQS: (28), (50) imply:
% 172.51/26.80  | |   (51)  all_52_2 = e1
% 172.51/26.80  | | 
% 172.51/26.80  | | COMBINE_EQS: (38), (51) imply:
% 172.51/26.80  | |   (52)  all_56_6 = e1
% 172.51/26.80  | | 
% 172.51/26.80  | | REDUCE: (42), (51) imply:
% 172.51/26.80  | |   (53)   ~ (all_52_3 = e1)
% 172.51/26.80  | | 
% 172.51/26.80  | | SIMP: (53) implies:
% 172.51/26.80  | |   (54)   ~ (all_52_3 = e1)
% 172.51/26.80  | | 
% 172.51/26.80  | | REDUCE: (43), (51) imply:
% 172.51/26.80  | |   (55)   ~ (all_52_14 = e1)
% 172.51/26.80  | | 
% 172.51/26.80  | | SIMP: (55) implies:
% 172.51/26.80  | |   (56)   ~ (all_52_14 = e1)
% 172.51/26.80  | | 
% 172.51/26.80  | | REDUCE: (49), (51) imply:
% 172.51/26.80  | |   (57)   ~ (all_10_2 = e1)
% 172.51/26.80  | | 
% 172.51/26.80  | | SIMP: (57) implies:
% 172.51/26.80  | |   (58)   ~ (all_10_2 = e1)
% 172.51/26.80  | | 
% 172.51/26.80  | | REDUCE: (3), (51) imply:
% 172.51/26.80  | |   (59)   ~ (all_6_2 = e1)
% 172.51/26.80  | | 
% 172.51/26.80  | | SIMP: (59) implies:
% 172.51/26.80  | |   (60)   ~ (all_6_2 = e1)
% 172.51/26.80  | | 
% 172.51/26.80  | | REDUCE: (21), (51) imply:
% 172.51/26.80  | |   (61)   ~ (e1 = e0)
% 172.51/26.80  | | 
% 172.51/26.80  | | BETA: splitting (24) gives:
% 172.51/26.80  | | 
% 172.51/26.80  | | Case 1:
% 172.51/26.80  | | | 
% 172.51/26.80  | | |   (62)  all_56_0 = e2
% 172.51/26.80  | | | 
% 172.51/26.80  | | | COMBINE_EQS: (14), (62) imply:
% 172.51/26.80  | | |   (63)  all_6_2 = e2
% 172.51/26.80  | | | 
% 172.51/26.80  | | | REDUCE: (25), (63) imply:
% 172.51/26.80  | | |   (64)   ~ (e3 = e2)
% 172.51/26.80  | | | 
% 172.51/26.80  | | | SIMP: (64) implies:
% 172.51/26.80  | | |   (65)   ~ (e3 = e2)
% 172.51/26.80  | | | 
% 172.51/26.80  | | | BETA: splitting (8) gives:
% 172.51/26.80  | | | 
% 172.51/26.80  | | | Case 1:
% 172.51/26.80  | | | | 
% 172.51/26.80  | | | |   (66)  all_56_0 = e3
% 172.51/26.80  | | | | 
% 172.51/26.80  | | | | COMBINE_EQS: (62), (66) imply:
% 172.51/26.80  | | | |   (67)  e3 = e2
% 172.51/26.80  | | | | 
% 172.51/26.80  | | | | REDUCE: (65), (67) imply:
% 172.51/26.80  | | | |   (68)  $false
% 172.51/26.80  | | | | 
% 172.51/26.80  | | | | CLOSE: (68) is inconsistent.
% 172.51/26.80  | | | | 
% 172.51/26.80  | | | Case 2:
% 172.51/26.80  | | | | 
% 172.51/26.80  | | | |   (69)  all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.51/26.80  | | | | 
% 172.51/26.80  | | | | BETA: splitting (69) gives:
% 172.51/26.80  | | | | 
% 172.51/26.80  | | | | Case 1:
% 172.51/26.80  | | | | | 
% 172.51/26.80  | | | | |   (70)  all_56_2 = e3
% 172.51/26.80  | | | | | 
% 172.51/26.80  | | | | | COMBINE_EQS: (19), (70) imply:
% 172.51/26.80  | | | | |   (71)  e3 = e0
% 172.51/26.80  | | | | | 
% 172.51/26.80  | | | | | REDUCE: (31), (71) imply:
% 172.51/26.80  | | | | |   (72)  $false
% 172.51/26.80  | | | | | 
% 172.51/26.80  | | | | | CLOSE: (72) is inconsistent.
% 172.51/26.80  | | | | | 
% 172.51/26.80  | | | | Case 2:
% 172.51/26.80  | | | | | 
% 172.51/26.80  | | | | |   (73)  all_56_6 = e3 | all_56_12 = e3
% 172.51/26.80  | | | | | 
% 172.51/26.80  | | | | | BETA: splitting (73) gives:
% 172.51/26.80  | | | | | 
% 172.51/26.80  | | | | | Case 1:
% 172.51/26.80  | | | | | | 
% 172.51/26.80  | | | | | |   (74)  all_56_6 = e3
% 172.51/26.80  | | | | | | 
% 172.51/26.80  | | | | | | COMBINE_EQS: (52), (74) imply:
% 172.51/26.80  | | | | | |   (75)  e3 = e1
% 172.51/26.80  | | | | | | 
% 172.51/26.80  | | | | | | REDUCE: (2), (75) imply:
% 172.51/26.80  | | | | | |   (76)  $false
% 172.51/26.80  | | | | | | 
% 172.51/26.80  | | | | | | CLOSE: (76) is inconsistent.
% 172.51/26.80  | | | | | | 
% 172.51/26.80  | | | | | Case 2:
% 172.51/26.80  | | | | | | 
% 172.51/26.80  | | | | | |   (77)  all_56_12 = e3
% 172.51/26.80  | | | | | | 
% 172.51/26.80  | | | | | | COMBINE_EQS: (1), (77) imply:
% 172.51/26.80  | | | | | |   (78)  all_52_3 = e3
% 172.51/26.80  | | | | | | 
% 172.51/26.80  | | | | | | SIMP: (78) implies:
% 172.51/26.80  | | | | | |   (79)  all_52_3 = e3
% 172.51/26.80  | | | | | | 
% 172.51/26.80  | | | | | | COMBINE_EQS: (17), (79) imply:
% 172.51/26.80  | | | | | |   (80)  all_58_19 = e3
% 172.51/26.80  | | | | | | 
% 172.51/26.80  | | | | | | REDUCE: (5), (79) imply:
% 172.51/26.80  | | | | | |   (81)   ~ (all_14_2 = e3)
% 172.51/26.80  | | | | | | 
% 172.51/26.80  | | | | | | SIMP: (81) implies:
% 172.51/26.80  | | | | | |   (82)   ~ (all_14_2 = e3)
% 172.51/26.80  | | | | | | 
% 172.51/26.80  | | | | | | BETA: splitting (48) gives:
% 172.51/26.80  | | | | | | 
% 172.51/26.80  | | | | | | Case 1:
% 172.51/26.80  | | | | | | | 
% 172.51/26.80  | | | | | | |   (83)  all_58_31 = e0
% 172.51/26.80  | | | | | | | 
% 172.51/26.80  | | | | | | | REF_CLOSE: (7), (11), (83) are inconsistent by sub-proof #831.
% 172.51/26.80  | | | | | | | 
% 172.51/26.80  | | | | | | Case 2:
% 172.51/26.80  | | | | | | | 
% 172.51/26.80  | | | | | | |   (84)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 |
% 172.51/26.80  | | | | | | |         (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 172.51/26.80  | | | | | | |           all_58_24 = e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 172.51/26.80  | | | | | | |           all_58_20 = e3 & all_58_28 = e0) | (all_58_17 = e3 &
% 172.51/26.80  | | | | | | |           all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.51/26.80  | | | | | | |         (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 172.51/26.80  | | | | | | |           all_58_29 = e2) | (all_58_17 = e2 & all_58_18 = e3 &
% 172.51/26.80  | | | | | | |           all_58_20 = e2 & all_58_24 = e3) | (all_58_17 = e2 &
% 172.51/26.80  | | | | | | |           all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.51/26.80  | | | | | | |         (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 172.51/26.80  | | | | | | |           all_58_25 = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 172.51/26.80  | | | | | | |           all_58_23 = e0 & all_58_29 = e0) | (all_58_17 = e2 &
% 172.51/26.80  | | | | | | |           all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19
% 172.51/26.80  | | | | | | |           = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 =
% 172.51/26.80  | | | | | | |           e3 & all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 172.51/26.80  | | | | | | |         (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 172.51/26.80  | | | | | | |           all_58_30 = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 172.51/26.80  | | | | | | |           all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.51/26.80  | | | | | | |           all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 172.51/26.80  | | | | | | |         (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 172.51/26.80  | | | | | | |           all_58_30 = e0) | (all_58_18 = e1 & all_58_24 = e1 & e3
% 172.51/26.80  | | | | | | |           = e1) | (all_58_19 = e3 & all_58_23 = e0 & all_58_28 =
% 172.51/26.80  | | | | | | |           e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0
% 172.51/26.80  | | | | | | |           & all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 &
% 172.51/26.80  | | | | | | |           all_58_23 = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 172.51/26.80  | | | | | | |         (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 172.51/26.80  | | | | | | |           all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 & e3
% 172.51/26.80  | | | | | | |           = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 =
% 172.51/26.80  | | | | | | |           e2 & all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2
% 172.51/26.80  | | | | | | |           & all_58_27 = e1 & all_58_30 = e1) | (all_58_22 = e1 &
% 172.51/26.80  | | | | | | |           all_58_23 = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 172.51/26.80  | | | | | | |         (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.51/26.80  | | | | | | |           all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2
% 172.51/26.80  | | | | | | |           = e1) | (all_58_23 = e2 & all_58_27 = e0 & all_58_29 =
% 172.51/26.80  | | | | | | |           e2 & all_58_30 = e0) | (all_58_23 = e0 & all_58_27 = e1
% 172.51/26.80  | | | | | | |           & all_58_29 = e0 & all_58_30 = e1) | (all_58_23 = e0 &
% 172.51/26.80  | | | | | | |           all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30
% 172.51/26.80  | | | | | | |           = e0 & e1 = e0)
% 172.51/26.80  | | | | | | | 
% 172.51/26.80  | | | | | | | REF_CLOSE: (2), (4), (6), (9), (10), (12), (13), (14), (15), (16),
% 172.51/26.80  | | | | | | |            (18), (20), (22), (23), (25), (26), (27), (29), (30),
% 172.51/26.80  | | | | | | |            (31), (32), (33), (34), (35), (36), (37), (39), (40),
% 172.51/26.80  | | | | | | |            (41), (44), (45), (56), (58), (60), (61), (80), (82),
% 172.51/26.80  | | | | | | |            (84) are inconsistent by sub-proof #370.
% 172.51/26.80  | | | | | | | 
% 172.51/26.80  | | | | | | End of split
% 172.51/26.80  | | | | | | 
% 172.51/26.80  | | | | | End of split
% 172.51/26.80  | | | | | 
% 172.51/26.80  | | | | End of split
% 172.51/26.80  | | | | 
% 172.51/26.80  | | | End of split
% 172.51/26.80  | | | 
% 172.51/26.80  | | Case 2:
% 172.51/26.80  | | | 
% 172.51/26.80  | | |   (85)   ~ (all_56_0 = e2)
% 172.51/26.80  | | | 
% 172.51/26.80  | | | REDUCE: (14), (85) imply:
% 172.51/26.80  | | |   (86)   ~ (all_6_2 = e2)
% 172.51/26.80  | | | 
% 172.51/26.80  | | | REF_CLOSE: (23), (25), (41), (60), (86) are inconsistent by sub-proof
% 172.51/26.80  | | |            #848.
% 172.51/26.80  | | | 
% 172.51/26.80  | | End of split
% 172.51/26.80  | | 
% 172.51/26.80  | Case 2:
% 172.51/26.80  | | 
% 172.51/26.80  | |   (87)  all_58_16 = e3 | all_58_17 = e2
% 172.51/26.80  | | 
% 172.51/26.80  | | REF_CLOSE: (25), (30), (36), (47), (87) are inconsistent by sub-proof #814.
% 172.51/26.80  | | 
% 172.51/26.80  | End of split
% 172.51/26.80  | 
% 172.51/26.80  End of proof
% 172.51/26.80  
% 172.51/26.80  Sub-proof #340 shows that the following formulas are inconsistent:
% 172.51/26.80  ----------------------------------------------------------------
% 172.51/26.80    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.51/26.80    (2)  all_58_23 = all_52_7
% 172.51/26.80    (3)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.51/26.80    (4)  all_56_5 = all_52_9
% 172.51/26.80    (5)   ~ (all_52_6 = all_4_2)
% 172.51/26.80    (6)   ~ (all_14_2 = e0)
% 172.51/26.80    (7)   ~ (all_52_9 = all_4_2)
% 172.51/26.80    (8)  all_54_6 = all_52_9
% 172.51/26.80    (9)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.51/26.80    (10)   ~ (all_52_9 = e0)
% 172.51/26.80    (11)  all_58_26 = all_10_2
% 172.51/26.80    (12)  all_58_31 = all_14_2
% 172.51/26.80    (13)  all_58_18 = e0
% 172.51/26.80    (14)   ~ (all_52_1 = all_6_2)
% 172.51/26.80    (15)   ~ (all_52_6 = all_52_7)
% 172.51/26.80    (16)  all_56_0 = all_6_2
% 172.51/26.80    (17)  all_58_30 = all_52_14
% 172.51/26.80    (18)  all_58_17 = all_52_1
% 172.51/26.80    (19)  all_58_20 = e0
% 172.51/26.80    (20)  all_58_19 = e3
% 172.51/26.80    (21)   ~ (all_52_6 = all_10_2)
% 172.51/26.80    (22)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.51/26.80    (23)  all_56_1 = e0
% 172.51/26.80    (24)   ~ (all_6_2 = e3)
% 172.51/26.80    (25)   ~ (all_52_1 = all_4_2)
% 172.51/26.80    (26)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.51/26.80    (27)   ~ (all_52_13 = all_52_14)
% 172.51/26.80    (28)  all_58_16 = all_6_2
% 172.51/26.80    (29)  all_56_13 = all_52_7
% 172.51/26.80    (30)  all_56_2 = all_52_1
% 172.51/26.80    (31)   ~ (e3 = e0)
% 172.51/26.80    (32)  all_58_29 = all_52_13
% 172.51/26.80    (33)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 172.51/26.80    (34)   ~ (all_4_2 = e0)
% 172.51/26.80    (35)   ~ (all_52_7 = all_4_2)
% 172.51/26.80    (36)   ~ (all_52_7 = e3)
% 172.51/26.80    (37)   ~ (all_52_1 = all_52_9)
% 172.51/26.80    (38)   ~ (all_52_7 = e0)
% 172.51/26.80    (39)  all_58_22 = all_52_6
% 172.51/26.80    (40)  all_58_27 = e0
% 172.51/26.80    (41)  all_56_3 = all_4_2
% 172.51/26.80    (42)  all_54_0 = all_6_2
% 172.51/26.80    (43)  all_58_29 = e0
% 172.51/26.80    (44)   ~ (all_52_1 = e0)
% 172.51/26.80    (45)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 172.51/26.80    (46)  all_58_25 = all_52_9
% 172.51/26.80    (47)  all_58_21 = all_4_2
% 172.51/26.80    (48)  all_56_10 = all_52_13
% 172.51/26.80    (49)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.51/26.80    (50)   ~ (all_52_14 = e0)
% 172.51/26.80    (51)  all_58_28 = all_52_12
% 172.51/26.80    (52)   ~ (e1 = e0)
% 172.51/26.80    (53)  all_56_7 = all_52_6
% 172.51/26.80    (54)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 172.51/26.80    (55)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.51/26.80          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.51/26.80          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.51/26.80          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.51/26.80          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.51/26.80          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.51/26.80          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.51/26.80          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.51/26.80          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.51/26.80          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.51/26.80            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.51/26.80            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.51/26.80            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.51/26.80            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.51/26.80            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.51/26.80            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.51/26.80            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.51/26.80            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.51/26.80            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.51/26.80            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.51/26.80            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.51/26.81            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.51/26.81            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.51/26.81            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.51/26.81            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.51/26.81            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.51/26.81          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.51/26.81          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.51/26.81          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.51/26.81            all_58_30 = e0 & e1 = e0)
% 172.51/26.81  
% 172.51/26.81  Begin of proof
% 172.51/26.81  | 
% 172.51/26.81  | BETA: splitting (3) gives:
% 172.51/26.81  | 
% 172.51/26.81  | Case 1:
% 172.51/26.81  | | 
% 172.51/26.81  | |   (56)  all_58_18 = e1
% 172.51/26.81  | | 
% 172.51/26.81  | | REF_CLOSE: (13), (52), (56) are inconsistent by sub-proof #888.
% 172.51/26.81  | | 
% 172.51/26.81  | Case 2:
% 172.51/26.81  | | 
% 172.51/26.81  | |   (57)  all_58_16 = e3 | all_58_17 = e2
% 172.51/26.81  | | 
% 172.51/26.81  | | BETA: splitting (57) gives:
% 172.51/26.81  | | 
% 172.51/26.81  | | Case 1:
% 172.51/26.81  | | | 
% 172.51/26.81  | | |   (58)  all_58_17 = e2
% 172.51/26.81  | | | 
% 172.51/26.81  | | | COMBINE_EQS: (18), (58) imply:
% 172.51/26.81  | | |   (59)  all_52_1 = e2
% 172.51/26.81  | | | 
% 172.51/26.81  | | | COMBINE_EQS: (30), (59) imply:
% 172.51/26.81  | | |   (60)  all_56_2 = e2
% 172.51/26.81  | | | 
% 172.51/26.81  | | | REDUCE: (37), (59) imply:
% 172.51/26.81  | | |   (61)   ~ (all_52_9 = e2)
% 172.51/26.81  | | | 
% 172.51/26.81  | | | SIMP: (61) implies:
% 172.51/26.81  | | |   (62)   ~ (all_52_9 = e2)
% 172.51/26.81  | | | 
% 172.51/26.81  | | | REDUCE: (14), (59) imply:
% 172.51/26.81  | | |   (63)   ~ (all_6_2 = e2)
% 172.51/26.81  | | | 
% 172.51/26.81  | | | SIMP: (63) implies:
% 172.51/26.81  | | |   (64)   ~ (all_6_2 = e2)
% 172.51/26.81  | | | 
% 172.51/26.81  | | | REDUCE: (25), (59) imply:
% 172.51/26.81  | | |   (65)   ~ (all_4_2 = e2)
% 172.51/26.81  | | | 
% 172.51/26.81  | | | SIMP: (65) implies:
% 172.51/26.81  | | |   (66)   ~ (all_4_2 = e2)
% 172.51/26.81  | | | 
% 172.51/26.81  | | | REDUCE: (44), (59) imply:
% 172.51/26.81  | | |   (67)   ~ (e2 = e0)
% 172.51/26.81  | | | 
% 172.51/26.81  | | | BETA: splitting (55) gives:
% 172.51/26.81  | | | 
% 172.51/26.81  | | | Case 1:
% 172.51/26.81  | | | | 
% 172.51/26.81  | | | |   (68)  all_58_31 = e0
% 172.51/26.81  | | | | 
% 172.51/26.81  | | | | COMBINE_EQS: (12), (68) imply:
% 172.51/26.81  | | | |   (69)  all_14_2 = e0
% 172.51/26.81  | | | | 
% 172.51/26.81  | | | | REDUCE: (6), (69) imply:
% 172.51/26.81  | | | |   (70)  $false
% 172.51/26.81  | | | | 
% 172.51/26.81  | | | | CLOSE: (70) is inconsistent.
% 172.51/26.81  | | | | 
% 172.51/26.81  | | | Case 2:
% 172.51/26.81  | | | | 
% 172.51/26.81  | | | |   (71)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | (all_58_17 =
% 172.51/26.81  | | | |           e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.51/26.81  | | | |         (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 =
% 172.51/26.81  | | | |           e0) | (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 &
% 172.51/26.81  | | | |           all_58_25 = e2) | (all_58_17 = e3 & all_58_20 = e3 & all_58_23
% 172.51/26.81  | | | |           = e2 & all_58_29 = e2) | (all_58_17 = e2 & all_58_18 = e3 &
% 172.51/26.81  | | | |           all_58_20 = e2 & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 172.51/26.81  | | | |           = e3 & all_58_20 = e2 & all_58_28 = e3) | (all_58_17 = e2 &
% 172.51/26.81  | | | |           all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) | (all_58_17
% 172.51/26.81  | | | |           = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.51/26.81  | | | |         (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.51/26.81  | | | |           all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18
% 172.51/26.81  | | | |           = e3 & all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 172.51/26.81  | | | |         (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30 =
% 172.51/26.81  | | | |           e1) | (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 172.51/26.81  | | | |           all_58_28 = e3) | (all_58_18 = e1 & all_58_22 = e2 & all_58_24
% 172.51/26.81  | | | |           = e1 & all_58_25 = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 172.51/26.81  | | | |           all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 & all_58_24
% 172.51/26.81  | | | |           = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 & all_58_28
% 172.51/26.81  | | | |           = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.51/26.81  | | | |           all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23
% 172.51/26.81  | | | |           = e2 & all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 &
% 172.51/26.81  | | | |           all_58_27 = e1 & all_58_28 = e0 & all_58_30 = e1) | (all_58_19
% 172.51/26.81  | | | |           = e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2 & all_58_23
% 172.51/26.81  | | | |           = e0 & all_58_25 = e2 & all_58_29 = e0) | (all_58_22 = e2 &
% 172.51/26.81  | | | |           all_58_25 = e2 & all_58_27 = e1 & all_58_30 = e1) | (all_58_22
% 172.51/26.81  | | | |           = e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 172.51/26.81  | | | |         (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 & all_58_30 =
% 172.51/26.81  | | | |           e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) | (all_58_23
% 172.51/26.81  | | | |           = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.51/26.81  | | | |         (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 =
% 172.51/26.81  | | | |           e1) | (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27
% 172.51/26.81  | | | |           = e0 & all_58_30 = e0 & e1 = e0)
% 172.51/26.81  | | | | 
% 172.51/26.81  | | | | BETA: splitting (71) gives:
% 172.51/26.81  | | | | 
% 172.51/26.81  | | | | Case 1:
% 172.51/26.81  | | | | | 
% 172.51/26.81  | | | | |   (72)  all_58_26 = e1
% 172.51/26.81  | | | | | 
% 172.51/26.81  | | | | | COMBINE_EQS: (11), (72) imply:
% 172.51/26.81  | | | | |   (73)  all_10_2 = e1
% 172.51/26.81  | | | | | 
% 172.51/26.81  | | | | | REDUCE: (21), (73) imply:
% 172.51/26.81  | | | | |   (74)   ~ (all_52_6 = e1)
% 172.51/26.81  | | | | | 
% 172.51/26.81  | | | | | REF_CLOSE: (1), (19), (31), (39), (47), (66), (74) are inconsistent by
% 172.51/26.81  | | | | |            sub-proof #436.
% 172.51/26.81  | | | | | 
% 172.51/26.81  | | | | Case 2:
% 172.51/26.81  | | | | | 
% 172.57/26.81  | | | | |   (75)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3 & all_58_18
% 172.57/26.81  | | | | |           = e1 & all_58_20 = e3 & all_58_24 = e1) | (all_58_17 = e3 &
% 172.57/26.81  | | | | |           all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.57/26.81  | | | | |         (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25
% 172.57/26.81  | | | | |           = e2) | (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 172.57/26.81  | | | | |           all_58_29 = e2) | (all_58_17 = e2 & all_58_18 = e3 &
% 172.57/26.81  | | | | |           all_58_20 = e2 & all_58_24 = e3) | (all_58_17 = e2 &
% 172.57/26.81  | | | | |           all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.57/26.81  | | | | |         (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25
% 172.57/26.81  | | | | |           = e1) | (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 172.57/26.81  | | | | |           all_58_29 = e0) | (all_58_17 = e2 & all_58_20 = e2 & e3 =
% 172.57/26.81  | | | | |           e2) | (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 172.57/26.81  | | | | |           all_58_28 = e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 172.57/26.81  | | | | |           all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.57/26.81  | | | | |           all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 172.57/26.81  | | | | |         (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 & all_58_28
% 172.57/26.81  | | | | |           = e3) | (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 &
% 172.57/26.81  | | | | |           all_58_25 = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 172.57/26.81  | | | | |           all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.57/26.81  | | | | |           all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0
% 172.57/26.81  | | | | |           & all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 &
% 172.57/26.81  | | | | |           all_58_27 = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.57/26.81  | | | | |         (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29
% 172.57/26.81  | | | | |           = e2) | (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 172.57/26.81  | | | | |           all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 & e3 =
% 172.57/26.81  | | | | |           e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.57/26.81  | | | | |           all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 &
% 172.57/26.81  | | | | |           all_58_27 = e1 & all_58_30 = e1) | (all_58_22 = e1 &
% 172.57/26.81  | | | | |           all_58_23 = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 172.57/26.81  | | | | |         (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 & all_58_30
% 172.57/26.81  | | | | |           = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.57/26.81  | | | | |         (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30
% 172.57/26.81  | | | | |           = e0) | (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 172.57/26.81  | | | | |           all_58_30 = e1) | (all_58_23 = e0 & all_58_29 = e0 & e2 =
% 172.57/26.81  | | | | |           e0) | (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.57/26.81  | | | | | 
% 172.57/26.81  | | | | | BETA: splitting (26) gives:
% 172.57/26.81  | | | | | 
% 172.57/26.81  | | | | | Case 1:
% 172.57/26.81  | | | | | | 
% 172.57/26.81  | | | | | |   (76)  all_56_0 = e1
% 172.57/26.81  | | | | | | 
% 172.57/26.81  | | | | | | COMBINE_EQS: (16), (76) imply:
% 172.57/26.81  | | | | | |   (77)  all_6_2 = e1
% 172.57/26.81  | | | | | | 
% 172.57/26.81  | | | | | | COMBINE_EQS: (28), (77) imply:
% 172.57/26.81  | | | | | |   (78)  all_58_16 = e1
% 172.57/26.81  | | | | | | 
% 172.57/26.81  | | | | | | REDUCE: (24), (77) imply:
% 172.57/26.81  | | | | | |   (79)   ~ (e3 = e1)
% 172.57/26.81  | | | | | | 
% 172.57/26.81  | | | | | | SIMP: (79) implies:
% 172.57/26.81  | | | | | |   (80)   ~ (e3 = e1)
% 172.57/26.81  | | | | | | 
% 172.57/26.81  | | | | | | REDUCE: (64), (77) imply:
% 172.57/26.81  | | | | | |   (81)   ~ (e2 = e1)
% 172.57/26.81  | | | | | | 
% 172.57/26.81  | | | | | | SIMP: (81) implies:
% 172.57/26.81  | | | | | |   (82)   ~ (e2 = e1)
% 172.57/26.81  | | | | | | 
% 172.57/26.81  | | | | | | BETA: splitting (1) gives:
% 172.57/26.81  | | | | | | 
% 172.57/26.81  | | | | | | Case 1:
% 172.57/26.81  | | | | | | | 
% 172.57/26.81  | | | | | | |   (83)  all_58_22 = e1
% 172.57/26.81  | | | | | | | 
% 172.57/26.81  | | | | | | | COMBINE_EQS: (39), (83) imply:
% 172.57/26.81  | | | | | | |   (84)  all_52_6 = e1
% 172.57/26.81  | | | | | | | 
% 172.57/26.81  | | | | | | | COMBINE_EQS: (53), (84) imply:
% 172.57/26.81  | | | | | | |   (85)  all_56_7 = e1
% 172.57/26.81  | | | | | | | 
% 172.57/26.81  | | | | | | | REDUCE: (15), (84) imply:
% 172.57/26.81  | | | | | | |   (86)   ~ (all_52_7 = e1)
% 172.57/26.81  | | | | | | | 
% 172.57/26.81  | | | | | | | SIMP: (86) implies:
% 172.57/26.81  | | | | | | |   (87)   ~ (all_52_7 = e1)
% 172.57/26.81  | | | | | | | 
% 172.57/26.81  | | | | | | | REDUCE: (5), (84) imply:
% 172.57/26.81  | | | | | | |   (88)   ~ (all_4_2 = e1)
% 172.57/26.81  | | | | | | | 
% 172.57/26.81  | | | | | | | SIMP: (88) implies:
% 172.57/26.81  | | | | | | |   (89)   ~ (all_4_2 = e1)
% 172.57/26.81  | | | | | | | 
% 172.57/26.81  | | | | | | | BETA: splitting (54) gives:
% 172.57/26.81  | | | | | | | 
% 172.57/26.81  | | | | | | | Case 1:
% 172.57/26.81  | | | | | | | | 
% 172.57/26.81  | | | | | | | |   (90)  all_56_1 = e2
% 172.57/26.81  | | | | | | | | 
% 172.57/26.81  | | | | | | | | COMBINE_EQS: (23), (90) imply:
% 172.57/26.81  | | | | | | | |   (91)  e2 = e0
% 172.57/26.81  | | | | | | | | 
% 172.57/26.81  | | | | | | | | REF_CLOSE: (57), (58), (67), (78), (80), (91) are inconsistent
% 172.57/26.81  | | | | | | | |            by sub-proof #979.
% 172.57/26.81  | | | | | | | | 
% 172.57/26.81  | | | | | | | Case 2:
% 172.57/26.81  | | | | | | | | 
% 172.57/26.81  | | | | | | | |   (92)  all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 172.57/26.81  | | | | | | | | 
% 172.57/26.81  | | | | | | | | BETA: splitting (49) gives:
% 172.57/26.81  | | | | | | | | 
% 172.57/26.81  | | | | | | | | Case 1:
% 172.57/26.81  | | | | | | | | | 
% 172.57/26.81  | | | | | | | | |   (93)  all_56_2 = e1
% 172.57/26.81  | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | COMBINE_EQS: (60), (93) imply:
% 172.57/26.81  | | | | | | | | |   (94)  e2 = e1
% 172.57/26.81  | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | REDUCE: (82), (94) imply:
% 172.57/26.81  | | | | | | | | |   (95)  $false
% 172.57/26.81  | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | CLOSE: (95) is inconsistent.
% 172.57/26.81  | | | | | | | | | 
% 172.57/26.81  | | | | | | | | Case 2:
% 172.57/26.81  | | | | | | | | | 
% 172.57/26.81  | | | | | | | | |   (96)  all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.57/26.81  | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | BETA: splitting (33) gives:
% 172.57/26.81  | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | Case 1:
% 172.57/26.81  | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | |   (97)  all_56_1 = e3
% 172.57/26.81  | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | REF_CLOSE: (23), (31), (97) are inconsistent by sub-proof
% 172.57/26.81  | | | | | | | | | |            #749.
% 172.57/26.81  | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | Case 2:
% 172.57/26.81  | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | |   (98)  all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 172.57/26.81  | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | BETA: splitting (98) gives:
% 172.57/26.81  | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | Case 1:
% 172.57/26.81  | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | |   (99)  all_56_3 = e3
% 172.57/26.81  | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | COMBINE_EQS: (41), (99) imply:
% 172.57/26.81  | | | | | | | | | | |   (100)  all_4_2 = e3
% 172.57/26.81  | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | COMBINE_EQS: (47), (100) imply:
% 172.57/26.81  | | | | | | | | | | |   (101)  all_58_21 = e3
% 172.57/26.81  | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | REDUCE: (7), (100) imply:
% 172.57/26.81  | | | | | | | | | | |   (102)   ~ (all_52_9 = e3)
% 172.57/26.81  | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | REDUCE: (66), (100) imply:
% 172.57/26.81  | | | | | | | | | | |   (103)   ~ (e3 = e2)
% 172.57/26.81  | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | BETA: splitting (45) gives:
% 172.57/26.81  | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | Case 1:
% 172.57/26.81  | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | |   (104)  all_54_6 = e1
% 172.57/26.81  | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | COMBINE_EQS: (8), (104) imply:
% 172.57/26.81  | | | | | | | | | | | |   (105)  all_52_9 = e1
% 172.57/26.81  | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | SIMP: (105) implies:
% 172.57/26.81  | | | | | | | | | | | |   (106)  all_52_9 = e1
% 172.57/26.81  | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | COMBINE_EQS: (4), (106) imply:
% 172.57/26.81  | | | | | | | | | | | |   (107)  all_56_5 = e1
% 172.57/26.81  | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | COMBINE_EQS: (46), (106) imply:
% 172.57/26.81  | | | | | | | | | | | |   (108)  all_58_25 = e1
% 172.57/26.81  | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | BETA: splitting (92) gives:
% 172.57/26.81  | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | Case 1:
% 172.57/26.81  | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | |   (109)  all_56_3 = e2
% 172.57/26.81  | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | REF_CLOSE: (99), (103), (109) are inconsistent by sub-proof
% 172.57/26.81  | | | | | | | | | | | | |            #432.
% 172.57/26.81  | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | Case 2:
% 172.57/26.81  | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | |   (110)  all_56_7 = e2 | all_56_13 = e2
% 172.57/26.81  | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | BETA: splitting (110) gives:
% 172.57/26.81  | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | Case 1:
% 172.57/26.81  | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | |   (111)  all_56_7 = e2
% 172.57/26.81  | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | COMBINE_EQS: (85), (111) imply:
% 172.57/26.81  | | | | | | | | | | | | | |   (112)  e2 = e1
% 172.57/26.81  | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | REDUCE: (82), (112) imply:
% 172.57/26.81  | | | | | | | | | | | | | |   (113)  $false
% 172.57/26.81  | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | CLOSE: (113) is inconsistent.
% 172.57/26.81  | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | Case 2:
% 172.57/26.81  | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | |   (114)  all_56_13 = e2
% 172.57/26.81  | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | COMBINE_EQS: (29), (114) imply:
% 172.57/26.81  | | | | | | | | | | | | | |   (115)  all_52_7 = e2
% 172.57/26.81  | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | SIMP: (115) implies:
% 172.57/26.81  | | | | | | | | | | | | | |   (116)  all_52_7 = e2
% 172.57/26.81  | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | COMBINE_EQS: (2), (116) imply:
% 172.57/26.81  | | | | | | | | | | | | | |   (117)  all_58_23 = e2
% 172.57/26.81  | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | REDUCE: (36), (116) imply:
% 172.57/26.81  | | | | | | | | | | | | | |   (118)   ~ (e3 = e2)
% 172.57/26.81  | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | BETA: splitting (75) gives:
% 172.57/26.81  | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | Case 1:
% 172.57/26.81  | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | |   (119)  all_58_21 = e2
% 172.57/26.81  | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | REF_CLOSE: (101), (103), (119) are inconsistent by sub-proof
% 172.57/26.81  | | | | | | | | | | | | | | |            #746.
% 172.57/26.81  | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | Case 2:
% 172.57/26.81  | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | |   (120)   ~ (all_58_21 = e2)
% 172.57/26.81  | | | | | | | | | | | | | | |   (121)  all_58_16 = e3 | (all_58_17 = e3 & all_58_18 = e1
% 172.57/26.81  | | | | | | | | | | | | | | |            & all_58_20 = e3 & all_58_24 = e1) | (all_58_17
% 172.57/26.81  | | | | | | | | | | | | | | |            = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 172.57/26.81  | | | | | | | | | | | | | | |            all_58_28 = e0) | (all_58_17 = e3 & all_58_20 =
% 172.57/26.81  | | | | | | | | | | | | | | |            e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.57/26.81  | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 172.57/26.81  | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 172.57/26.81  | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.57/26.81  | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 172.57/26.81  | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 172.57/26.81  | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.57/26.81  | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 172.57/26.81  | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 172.57/26.81  | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 172.57/26.81  | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 172.57/26.81  | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 172.57/26.81  | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 172.57/26.81  | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 172.57/26.81  | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 172.57/26.81  | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 172.57/26.81  | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 172.57/26.81  | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 172.57/26.81  | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_18 = e1 & all_58_24
% 172.57/26.81  | | | | | | | | | | | | | | |            = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 =
% 172.57/26.81  | | | | | | | | | | | | | | |            e0 & all_58_28 = e3 & all_58_29 = e0) |
% 172.57/26.81  | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3
% 172.57/26.81  | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_19 = e0 & all_58_23
% 172.57/26.81  | | | | | | | | | | | | | | |            = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 172.57/26.81  | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0
% 172.57/26.81  | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_19 = e0 & all_58_28
% 172.57/26.81  | | | | | | | | | | | | | | |            = e0 & e3 = e0) | (all_58_22 = e2 & all_58_23 =
% 172.57/26.81  | | | | | | | | | | | | | | |            e0 & all_58_25 = e2 & all_58_29 = e0) |
% 172.57/26.81  | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 172.57/26.81  | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 172.57/26.81  | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 172.57/26.81  | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 172.57/26.81  | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 172.57/26.81  | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 172.57/26.81  | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.57/26.81  | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 172.57/26.81  | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 172.57/26.81  | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 172.57/26.81  | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 172.57/26.81  | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | BETA: splitting (121) gives:
% 172.57/26.81  | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | Case 1:
% 172.57/26.81  | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | |   (122)  all_58_16 = e3
% 172.57/26.81  | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | COMBINE_EQS: (78), (122) imply:
% 172.57/26.81  | | | | | | | | | | | | | | | |   (123)  e3 = e1
% 172.57/26.81  | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | REDUCE: (80), (123) imply:
% 172.57/26.81  | | | | | | | | | | | | | | | |   (124)  $false
% 172.57/26.81  | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | CLOSE: (124) is inconsistent.
% 172.57/26.81  | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | Case 2:
% 172.57/26.81  | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | |   (125)   ~ (all_58_16 = e3)
% 172.57/26.81  | | | | | | | | | | | | | | | |   (126)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.57/26.81  | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.57/26.81  | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.57/26.81  | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.57/26.81  | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 172.57/26.81  | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.57/26.81  | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 172.57/26.81  | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 172.57/26.81  | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.57/26.81  | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 172.57/26.81  | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 172.57/26.81  | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.57/26.81  | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 172.57/26.81  | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 172.57/26.81  | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 172.57/26.81  | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 172.57/26.81  | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.57/26.81  | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.57/26.81  | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.57/26.81  | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.57/26.81  | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.57/26.81  | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.57/26.81  | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.57/26.81  | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.57/26.81  | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.57/26.81  | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.57/26.81  | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.57/26.81  | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.57/26.81  | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.57/26.81  | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.57/26.81  | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 172.57/26.81  | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 172.57/26.81  | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 172.57/26.81  | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 172.57/26.81  | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.57/26.81  | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.57/26.81  | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.57/26.81  | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.57/26.81  | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.57/26.81  | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.57/26.81  | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.57/26.81  | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | BETA: splitting (126) gives:
% 172.57/26.81  | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.81  | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | |   (127)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.57/26.81  | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.57/26.81  | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.57/26.81  | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.57/26.81  | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 172.57/26.81  | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.57/26.81  | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 172.57/26.81  | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 172.57/26.81  | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.57/26.81  | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 172.57/26.81  | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 172.57/26.81  | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.57/26.81  | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 172.57/26.81  | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 172.57/26.81  | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 172.57/26.81  | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 172.57/26.81  | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.57/26.81  | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.57/26.81  | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.57/26.81  | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.57/26.81  | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.57/26.81  | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 172.57/26.81  | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | BETA: splitting (127) gives:
% 172.57/26.81  | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | |   (128)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.57/26.81  | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.57/26.81  | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.57/26.81  | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.57/26.81  | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 172.57/26.81  | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.57/26.81  | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 172.57/26.81  | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 172.57/26.81  | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.57/26.81  | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 172.57/26.81  | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 172.57/26.81  | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | BETA: splitting (128) gives:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |   (129)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2)
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (28), (57), (103), (129) are inconsistent by
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |            sub-proof #342.
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |   (130)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | BETA: splitting (130) gives:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |   (131)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3)
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (132)  all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | ALPHA: (132) implies:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (133)  all_58_17 = e3
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (28), (57), (103), (133) are inconsistent by
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |            sub-proof #366.
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (134)  all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e3
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | ALPHA: (134) implies:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (135)  all_58_20 = e2
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (136)  all_58_18 = e3
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19), (135) imply:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (137)  e2 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (58), (137) imply:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (138)  all_58_17 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (24), (28), (67), (80), (136), (138) are
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #461.
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |   (139)  (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | BETA: splitting (139) gives:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (140)  all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 &
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | ALPHA: (140) implies:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (141)  all_58_20 = e2
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (57), (58), (67), (78), (80), (141) are
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #341.
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (142)  all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | ALPHA: (142) implies:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (143)  all_58_20 = e2
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (57), (58), (67), (78), (80), (143) are
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #341.
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.81  | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | |   (144)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 172.57/26.81  | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 172.57/26.81  | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 172.57/26.81  | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 172.57/26.81  | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 172.57/26.81  | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 172.57/26.81  | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 172.57/26.81  | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 172.57/26.81  | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 172.57/26.81  | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | |            & all_58_30 = e0)
% 172.57/26.81  | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |   (145)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | BETA: splitting (145) gives:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |   (146)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2)
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | BETA: splitting (146) gives:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (147)  all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | ALPHA: (147) implies:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (148)  all_58_23 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (117), (148) imply:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (149)  e2 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (57), (58), (67), (78), (80), (149) are
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (150)  all_58_17 = e2 & all_58_20 = e2 & e3 = e2
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | ALPHA: (150) implies:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (151)  all_58_20 = e2
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (57), (58), (67), (78), (80), (151) are
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #341.
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |   (152)  (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1)
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | BETA: splitting (152) gives:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (153)  all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (31), (153) are inconsistent by sub-proof
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |            #428.
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (154)  all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 &
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | ALPHA: (154) implies:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (155)  all_58_18 = e3
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13), (155) imply:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (156)  e3 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (156) imply:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (157)  $false
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | CLOSE: (157) is inconsistent.
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |   (158)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |   (159)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3)
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (160)  all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | ALPHA: (160) implies:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (161)  all_58_27 = e1
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (52), (161) are inconsistent by sub-proof
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |            #454.
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (162)  all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | ALPHA: (162) implies:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (163)  all_58_18 = e1
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13), (163) imply:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (164)  e1 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (164) imply:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (165)  $false
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | CLOSE: (165) is inconsistent.
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |   (166)  (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (167)  all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 &
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (57), (58), (67), (78), (80), (108), (167)
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #545.
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (168)  all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | ALPHA: (168) implies:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (169)  all_58_18 = e1
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13), (169) imply:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (170)  e1 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (170) imply:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (171)  $false
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | CLOSE: (171) is inconsistent.
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.81  | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | End of split
% 172.57/26.81  | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.81  | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | |   (172)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.57/26.81  | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.57/26.81  | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.57/26.81  | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.57/26.81  | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.57/26.81  | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.57/26.81  | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.57/26.81  | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.57/26.81  | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 172.57/26.81  | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 172.57/26.81  | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 172.57/26.81  | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 172.57/26.81  | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.57/26.81  | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.57/26.81  | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.57/26.81  | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.57/26.81  | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.57/26.81  | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.57/26.81  | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.57/26.81  | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | BETA: splitting (172) gives:
% 172.57/26.81  | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | |   (173)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.57/26.81  | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.57/26.81  | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.57/26.81  | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.57/26.81  | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.57/26.81  | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.57/26.81  | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.57/26.81  | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.57/26.81  | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 172.57/26.81  | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | BETA: splitting (173) gives:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |   (174)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | BETA: splitting (174) gives:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |   (175)  all_58_18 = e1 & all_58_24 = e1 & e3 = e1
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | ALPHA: (175) implies:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |   (176)  all_58_18 = e1
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13), (176) imply:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |   (177)  e1 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (177) imply:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |   (178)  $false
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | CLOSE: (178) is inconsistent.
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |   (179)  (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (180)  all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | ALPHA: (180) implies:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (181)  all_58_23 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (117), (181) imply:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (182)  e2 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (57), (58), (67), (78), (80), (182) are
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (183)  all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | ALPHA: (183) implies:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (184)  all_58_30 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (50), (184) are inconsistent by sub-proof
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |            #456.
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |   (185)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.57/26.81  | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |   (186)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1)
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (187)  all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | ALPHA: (187) implies:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (188)  all_58_29 = e2
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (57), (58), (67), (78), (80), (188) are
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #455.
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (189)  all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | ALPHA: (189) implies:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (190)  all_58_28 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (191)  all_58_27 = e1
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (40), (191) imply:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (192)  e1 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | SIMP: (192) implies:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (193)  e1 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (51), (190) imply:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (194)  all_52_12 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (107), (193) imply:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (195)  all_56_5 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (17), (27), (31), (32), (41), (48), (52),
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |            (82), (89), (96), (190), (195) are inconsistent by
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |            sub-proof #729.
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |   (196)  (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (197)  all_58_19 = e0 & all_58_28 = e0 & e3 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (31), (197) are inconsistent by sub-proof
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |            #818.
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (198)  all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | ALPHA: (198) implies:
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | |   (199)  all_58_23 = e0
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.81  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (117), (199) imply:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | |   (200)  e2 = e0
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (57), (58), (67), (78), (80), (200) are
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.82  | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | |   (201)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 172.57/26.82  | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 172.57/26.82  | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 172.57/26.82  | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 172.57/26.82  | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 172.57/26.82  | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 172.57/26.82  | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.57/26.82  | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 172.57/26.82  | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 172.57/26.82  | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 172.57/26.82  | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 172.57/26.82  | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | |   (202)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 172.57/26.82  | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 172.57/26.82  | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 172.57/26.82  | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 172.57/26.82  | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 172.57/26.82  | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | |   (203)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2)
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (43), (57), (58), (67), (78), (80), (108),
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | |            (203) are inconsistent by sub-proof #452.
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | |   (204)  (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | |   (205)  all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | ALPHA: (205) implies:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | |   (206)  all_58_30 = e0
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (50), (206) are inconsistent by sub-proof
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | |            #456.
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | |   (207)  all_58_22 = e1 & all_58_25 = e1 & e2 = e1
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | ALPHA: (207) implies:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | |   (208)  e2 = e1
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | REDUCE: (82), (208) imply:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | |   (209)  $false
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | CLOSE: (209) is inconsistent.
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | |   (210)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.57/26.82  | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.57/26.82  | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.57/26.82  | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.57/26.82  | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | |   (211)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1)
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | |   (212)  all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | ALPHA: (212) implies:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | |   (213)  all_58_29 = e2
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (43), (213) imply:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | |   (214)  e2 = e0
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (57), (58), (67), (78), (80), (214) are
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | |   (215)  all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | ALPHA: (215) implies:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | |   (216)  all_58_23 = e0
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (117), (216) imply:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | |   (217)  e2 = e0
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (57), (58), (67), (78), (80), (217) are
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | |   (218)  (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | |   (219)  all_58_23 = e0 & all_58_29 = e0 & e2 = e0
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | ALPHA: (219) implies:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | |   (220)  all_58_23 = e0
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (117), (220) imply:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | |   (221)  e2 = e0
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (57), (58), (67), (78), (80), (221) are
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | |   (222)  all_58_27 = e0 & all_58_30 = e0 & e1 = e0
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | ALPHA: (222) implies:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | |   (223)  e1 = e0
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (223) imply:
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | |   (224)  $false
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | CLOSE: (224) is inconsistent.
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.82  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.82  | | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | | End of split
% 172.57/26.82  | | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | | End of split
% 172.57/26.82  | | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | | End of split
% 172.57/26.82  | | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | | End of split
% 172.57/26.82  | | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | | End of split
% 172.57/26.82  | | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | End of split
% 172.57/26.82  | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | Case 2:
% 172.57/26.82  | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | |   (225)  all_54_6 = e3 | all_54_6 = e2
% 172.57/26.82  | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | | REF_CLOSE: (8), (62), (102), (225) are inconsistent by
% 172.57/26.82  | | | | | | | | | | | |            sub-proof #884.
% 172.57/26.82  | | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | End of split
% 172.57/26.82  | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | Case 2:
% 172.57/26.82  | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | |   (226)  all_56_7 = e3 | all_56_13 = e3
% 172.57/26.82  | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | | REF_CLOSE: (29), (36), (80), (85), (226) are inconsistent by
% 172.57/26.82  | | | | | | | | | | |            sub-proof #738.
% 172.57/26.82  | | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | | End of split
% 172.57/26.82  | | | | | | | | | | 
% 172.57/26.82  | | | | | | | | | End of split
% 172.57/26.82  | | | | | | | | | 
% 172.57/26.82  | | | | | | | | End of split
% 172.57/26.82  | | | | | | | | 
% 172.57/26.82  | | | | | | | End of split
% 172.57/26.82  | | | | | | | 
% 172.57/26.82  | | | | | | Case 2:
% 172.57/26.82  | | | | | | | 
% 172.57/26.82  | | | | | | |   (227)  all_58_20 = e3 | all_58_21 = e2
% 172.57/26.82  | | | | | | | 
% 172.57/26.82  | | | | | | | REF_CLOSE: (19), (31), (47), (66), (227) are inconsistent by
% 172.57/26.82  | | | | | | |            sub-proof #974.
% 172.57/26.82  | | | | | | | 
% 172.57/26.82  | | | | | | End of split
% 172.57/26.82  | | | | | | 
% 172.57/26.82  | | | | | Case 2:
% 172.57/26.82  | | | | | | 
% 172.57/26.82  | | | | | |   (228)   ~ (all_56_0 = e1)
% 172.57/26.82  | | | | | | 
% 172.57/26.82  | | | | | | REDUCE: (16), (228) imply:
% 172.57/26.82  | | | | | |   (229)   ~ (all_6_2 = e1)
% 172.57/26.82  | | | | | | 
% 172.57/26.82  | | | | | | REF_CLOSE: (22), (24), (42), (64), (229) are inconsistent by
% 172.57/26.82  | | | | | |            sub-proof #848.
% 172.57/26.82  | | | | | | 
% 172.57/26.82  | | | | | End of split
% 172.57/26.82  | | | | | 
% 172.57/26.82  | | | | End of split
% 172.57/26.82  | | | | 
% 172.57/26.82  | | | End of split
% 172.57/26.82  | | | 
% 172.57/26.82  | | Case 2:
% 172.57/26.82  | | | 
% 172.57/26.82  | | |   (230)  all_58_16 = e3
% 172.57/26.82  | | | 
% 172.57/26.82  | | | COMBINE_EQS: (28), (230) imply:
% 172.57/26.82  | | |   (231)  all_6_2 = e3
% 172.57/26.82  | | | 
% 172.57/26.82  | | | REDUCE: (24), (231) imply:
% 172.57/26.82  | | |   (232)  $false
% 172.57/26.82  | | | 
% 172.57/26.82  | | | CLOSE: (232) is inconsistent.
% 172.57/26.82  | | | 
% 172.57/26.82  | | End of split
% 172.57/26.82  | | 
% 172.57/26.82  | End of split
% 172.57/26.82  | 
% 172.57/26.82  End of proof
% 172.57/26.82  
% 172.57/26.82  Sub-proof #341 shows that the following formulas are inconsistent:
% 172.57/26.82  ----------------------------------------------------------------
% 172.57/26.82    (1)   ~ (e3 = e1)
% 172.57/26.82    (2)  all_58_20 = e0
% 172.57/26.82    (3)  all_58_16 = e1
% 172.57/26.82    (4)  all_58_20 = e2
% 172.57/26.82    (5)  all_58_17 = e2
% 172.57/26.82    (6)  all_58_16 = e3 | all_58_17 = e2
% 172.57/26.82    (7)   ~ (e2 = e0)
% 172.57/26.82  
% 172.57/26.82  Begin of proof
% 172.57/26.82  | 
% 172.57/26.82  | COMBINE_EQS: (2), (4) imply:
% 172.57/26.82  |   (8)  e2 = e0
% 172.57/26.82  | 
% 172.57/26.82  | COMBINE_EQS: (5), (8) imply:
% 172.57/26.82  |   (9)  all_58_17 = e0
% 172.57/26.82  | 
% 172.57/26.82  | REF_CLOSE: (1), (3), (6), (7), (9) are inconsistent by sub-proof #980.
% 172.57/26.82  | 
% 172.57/26.82  End of proof
% 172.57/26.82  
% 172.57/26.82  Sub-proof #342 shows that the following formulas are inconsistent:
% 172.57/26.82  ----------------------------------------------------------------
% 172.57/26.82    (1)   ~ (e3 = e2)
% 172.57/26.82    (2)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.57/26.82         (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.57/26.82         (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2)
% 172.57/26.82    (3)   ~ (all_6_2 = e3)
% 172.57/26.82    (4)  all_58_16 = all_6_2
% 172.57/26.82    (5)  all_58_16 = e3 | all_58_17 = e2
% 172.57/26.82  
% 172.57/26.82  Begin of proof
% 172.57/26.82  | 
% 172.57/26.82  | BETA: splitting (2) gives:
% 172.57/26.82  | 
% 172.57/26.82  | Case 1:
% 172.57/26.82  | | 
% 172.57/26.82  | |   (6)  all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1
% 172.57/26.82  | | 
% 172.57/26.82  | | ALPHA: (6) implies:
% 172.57/26.82  | |   (7)  all_58_17 = e3
% 172.57/26.82  | | 
% 172.57/26.82  | | REF_CLOSE: (1), (3), (4), (5), (7) are inconsistent by sub-proof #366.
% 172.57/26.82  | | 
% 172.57/26.82  | Case 2:
% 172.57/26.82  | | 
% 172.57/26.82  | |   (8)  (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.57/26.82  | |        (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2)
% 172.57/26.82  | | 
% 172.57/26.82  | | BETA: splitting (8) gives:
% 172.57/26.82  | | 
% 172.57/26.82  | | Case 1:
% 172.57/26.82  | | | 
% 172.57/26.82  | | |   (9)  all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0
% 172.57/26.82  | | | 
% 172.57/26.82  | | | ALPHA: (9) implies:
% 172.57/26.82  | | |   (10)  all_58_17 = e3
% 172.57/26.82  | | | 
% 172.57/26.82  | | | REF_CLOSE: (1), (3), (4), (5), (10) are inconsistent by sub-proof #366.
% 172.57/26.82  | | | 
% 172.57/26.82  | | Case 2:
% 172.57/26.82  | | | 
% 172.57/26.82  | | |   (11)  all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2
% 172.57/26.82  | | | 
% 172.57/26.82  | | | ALPHA: (11) implies:
% 172.57/26.82  | | |   (12)  all_58_17 = e3
% 172.57/26.82  | | | 
% 172.57/26.82  | | | REF_CLOSE: (1), (3), (4), (5), (12) are inconsistent by sub-proof #366.
% 172.57/26.82  | | | 
% 172.57/26.82  | | End of split
% 172.57/26.82  | | 
% 172.57/26.82  | End of split
% 172.57/26.82  | 
% 172.57/26.82  End of proof
% 172.57/26.82  
% 172.57/26.82  Sub-proof #343 shows that the following formulas are inconsistent:
% 172.57/26.82  ----------------------------------------------------------------
% 172.57/26.82    (1)   ~ (all_52_2 = all_6_2)
% 172.57/26.82    (2)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.57/26.82    (3)  op(e3, all_6_2) = all_58_0
% 172.57/26.82    (4)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.57/26.82    (5)   ~ (all_52_3 = all_6_2)
% 172.57/26.82    (6)  all_56_0 = all_6_2
% 172.57/26.82    (7)   ~ (all_52_3 = e3)
% 172.57/26.82    (8)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.57/26.82    (9)  all_58_18 = all_52_2
% 172.57/26.82    (10)  all_58_16 = all_6_2
% 172.57/26.82    (11)   ~ (all_6_2 = e0)
% 172.57/26.82    (12)  all_58_17 = e0
% 172.57/26.82    (13)  op(e3, e3) = all_6_2
% 172.57/26.82    (14)  all_54_0 = all_6_2
% 172.57/26.82    (15)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 172.57/26.82    (16)   ~ (all_52_2 = all_52_3)
% 172.57/26.82    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.57/26.82            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.57/26.82    (18)  all_54_12 = all_52_3
% 172.57/26.82    (19)   ~ (e2 = e0)
% 172.57/26.82    (20)  op(all_6_2, e3) = e0
% 172.57/26.82  
% 172.57/26.82  Begin of proof
% 172.57/26.82  | 
% 172.57/26.82  | BETA: splitting (4) gives:
% 172.57/26.82  | 
% 172.57/26.82  | Case 1:
% 172.57/26.82  | | 
% 172.57/26.82  | |   (21)  all_56_0 = e3
% 172.57/26.82  | | 
% 172.57/26.82  | | COMBINE_EQS: (6), (21) imply:
% 172.57/26.82  | |   (22)  all_6_2 = e3
% 172.57/26.82  | | 
% 172.57/26.82  | | REF_CLOSE: (3), (11), (13), (17), (20), (22) are inconsistent by sub-proof
% 172.57/26.82  | |            #360.
% 172.57/26.82  | | 
% 172.57/26.82  | Case 2:
% 172.57/26.82  | | 
% 172.57/26.82  | |   (23)   ~ (all_56_0 = e3)
% 172.57/26.82  | | 
% 172.57/26.82  | | REDUCE: (6), (23) imply:
% 172.57/26.82  | |   (24)   ~ (all_6_2 = e3)
% 172.57/26.82  | | 
% 172.57/26.82  | | REF_CLOSE: (1), (2), (5), (7), (8), (9), (10), (12), (14), (15), (16), (18),
% 172.57/26.82  | |            (19), (24) are inconsistent by sub-proof #806.
% 172.57/26.82  | | 
% 172.57/26.82  | End of split
% 172.57/26.82  | 
% 172.57/26.82  End of proof
% 172.57/26.82  
% 172.57/26.82  Sub-proof #344 shows that the following formulas are inconsistent:
% 172.57/26.82  ----------------------------------------------------------------
% 172.57/26.82    (1)  all_56_8 = e1
% 172.57/26.82    (2)   ~ (e3 = e1)
% 172.57/26.82    (3)  op(e3, e3) = all_58_0
% 172.57/26.82    (4)   ~ (all_52_6 = e1)
% 172.57/26.82    (5)  op(e3, e3) = e3
% 172.57/26.82    (6)  all_58_17 = e1
% 172.57/26.82    (7)  all_56_11 = all_52_14
% 172.57/26.82    (8)  op(e3, e3) = e0
% 172.57/26.82    (9)   ~ (e3 = e2)
% 172.57/26.82    (10)  all_58_16 = e3
% 172.57/26.82    (11)  all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 172.57/26.82    (12)  all_56_13 = e0
% 172.57/26.82    (13)  all_56_3 = all_4_2
% 172.57/26.82    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.57/26.82            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.57/26.82    (15)  all_58_16 = e3 | all_58_17 = e2
% 172.57/26.82    (16)   ~ (e2 = e0)
% 172.57/26.82    (17)   ~ (all_52_14 = e0)
% 172.57/26.82    (18)  all_56_7 = all_52_6
% 172.57/26.82    (19)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.57/26.82    (20)   ~ (all_4_2 = e2)
% 172.57/26.82  
% 172.57/26.82  Begin of proof
% 172.57/26.82  | 
% 172.57/26.82  | BETA: splitting (11) gives:
% 172.57/26.82  | 
% 172.57/26.82  | Case 1:
% 172.57/26.82  | | 
% 172.57/26.82  | |   (21)  all_56_3 = e2
% 172.57/26.82  | | 
% 172.57/26.82  | | COMBINE_EQS: (13), (21) imply:
% 172.57/26.82  | |   (22)  all_4_2 = e2
% 172.57/26.82  | | 
% 172.57/26.82  | | SIMP: (22) implies:
% 172.57/26.82  | |   (23)  all_4_2 = e2
% 172.57/26.82  | | 
% 172.57/26.82  | | REDUCE: (20), (23) imply:
% 172.57/26.82  | |   (24)  $false
% 172.57/26.82  | | 
% 172.57/26.82  | | CLOSE: (24) is inconsistent.
% 172.57/26.82  | | 
% 172.57/26.82  | Case 2:
% 172.57/26.82  | | 
% 172.57/26.82  | |   (25)  all_56_7 = e2 | all_56_13 = e2
% 172.57/26.82  | | 
% 172.57/26.82  | | BETA: splitting (25) gives:
% 172.57/26.82  | | 
% 172.57/26.82  | | Case 1:
% 172.57/26.82  | | | 
% 172.57/26.82  | | |   (26)  all_56_7 = e2
% 172.57/26.82  | | | 
% 172.57/26.82  | | | COMBINE_EQS: (18), (26) imply:
% 172.57/26.82  | | |   (27)  all_52_6 = e2
% 172.57/26.82  | | | 
% 172.57/26.82  | | | SIMP: (27) implies:
% 172.57/26.82  | | |   (28)  all_52_6 = e2
% 172.57/26.82  | | | 
% 172.57/26.82  | | | REDUCE: (4), (28) imply:
% 172.57/26.82  | | |   (29)   ~ (e2 = e1)
% 172.57/26.82  | | | 
% 172.57/26.82  | | | BETA: splitting (19) gives:
% 172.57/26.82  | | | 
% 172.57/26.82  | | | Case 1:
% 172.57/26.82  | | | | 
% 172.57/26.82  | | | |   (30)  all_56_7 = e3
% 172.57/26.82  | | | | 
% 172.57/26.82  | | | | COMBINE_EQS: (26), (30) imply:
% 172.57/26.82  | | | |   (31)  e3 = e2
% 172.57/26.82  | | | | 
% 172.57/26.82  | | | | REDUCE: (9), (31) imply:
% 172.57/26.82  | | | |   (32)  $false
% 172.57/26.82  | | | | 
% 172.57/26.82  | | | | CLOSE: (32) is inconsistent.
% 172.57/26.82  | | | | 
% 172.57/26.82  | | | Case 2:
% 172.57/26.82  | | | | 
% 172.57/26.82  | | | |   (33)  all_56_8 = e3 | all_56_11 = e3
% 172.57/26.82  | | | | 
% 172.57/26.82  | | | | BETA: splitting (33) gives:
% 172.57/26.82  | | | | 
% 172.57/26.82  | | | | Case 1:
% 172.57/26.82  | | | | | 
% 172.57/26.82  | | | | |   (34)  all_56_8 = e3
% 172.57/26.82  | | | | | 
% 172.57/26.82  | | | | | COMBINE_EQS: (1), (34) imply:
% 172.57/26.82  | | | | |   (35)  e3 = e1
% 172.57/26.82  | | | | | 
% 172.57/26.82  | | | | | REDUCE: (2), (35) imply:
% 172.57/26.82  | | | | |   (36)  $false
% 172.57/26.82  | | | | | 
% 172.57/26.82  | | | | | CLOSE: (36) is inconsistent.
% 172.57/26.82  | | | | | 
% 172.57/26.82  | | | | Case 2:
% 172.57/26.82  | | | | | 
% 172.57/26.82  | | | | |   (37)  all_56_11 = e3
% 172.57/26.82  | | | | | 
% 172.57/26.82  | | | | | COMBINE_EQS: (7), (37) imply:
% 172.57/26.82  | | | | |   (38)  all_52_14 = e3
% 172.57/26.82  | | | | | 
% 172.57/26.82  | | | | | REDUCE: (17), (38) imply:
% 172.57/26.82  | | | | |   (39)   ~ (e3 = e0)
% 172.57/26.82  | | | | | 
% 172.57/26.82  | | | | | GROUND_INST: instantiating (14) with e3, all_58_0, e3, e3, simplifying
% 172.57/26.82  | | | | |              with (3), (5) gives:
% 172.57/26.82  | | | | |   (40)  all_58_0 = e3
% 172.57/26.82  | | | | | 
% 172.57/26.82  | | | | | GROUND_INST: instantiating (14) with e0, all_58_0, e3, e3, simplifying
% 172.57/26.82  | | | | |              with (3), (8) gives:
% 172.57/26.82  | | | | |   (41)  all_58_0 = e0
% 172.57/26.82  | | | | | 
% 172.57/26.82  | | | | | COMBINE_EQS: (40), (41) imply:
% 172.57/26.82  | | | | |   (42)  e3 = e0
% 172.57/26.82  | | | | | 
% 172.57/26.82  | | | | | REF_CLOSE: (6), (10), (15), (29), (39), (42) are inconsistent by
% 172.57/26.82  | | | | |            sub-proof #566.
% 172.57/26.82  | | | | | 
% 172.57/26.82  | | | | End of split
% 172.57/26.82  | | | | 
% 172.57/26.82  | | | End of split
% 172.57/26.82  | | | 
% 172.57/26.82  | | Case 2:
% 172.57/26.82  | | | 
% 172.57/26.82  | | |   (43)  all_56_13 = e2
% 172.57/26.82  | | | 
% 172.57/26.82  | | | COMBINE_EQS: (12), (43) imply:
% 172.57/26.82  | | |   (44)  e2 = e0
% 172.57/26.82  | | | 
% 172.57/26.82  | | | REDUCE: (16), (44) imply:
% 172.57/26.82  | | |   (45)  $false
% 172.57/26.82  | | | 
% 172.57/26.82  | | | CLOSE: (45) is inconsistent.
% 172.57/26.82  | | | 
% 172.57/26.82  | | End of split
% 172.57/26.82  | | 
% 172.57/26.82  | End of split
% 172.57/26.82  | 
% 172.57/26.82  End of proof
% 172.57/26.82  
% 172.57/26.82  Sub-proof #345 shows that the following formulas are inconsistent:
% 172.57/26.82  ----------------------------------------------------------------
% 172.57/26.82    (1)  all_56_12 = all_52_3
% 172.57/26.82    (2)   ~ (e3 = e1)
% 172.57/26.82    (3)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.57/26.82    (4)  op(e3, all_6_2) = all_58_0
% 172.57/26.82    (5)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.57/26.82    (6)  all_58_18 = e0
% 172.57/26.82    (7)   ~ (all_52_1 = all_6_2)
% 172.57/26.82    (8)  all_56_0 = all_6_2
% 172.57/26.82    (9)  all_58_17 = all_52_1
% 172.57/26.82    (10)   ~ (e3 = e2)
% 172.57/26.82    (11)   ~ (all_52_3 = e3)
% 172.57/26.82    (12)  all_58_16 = all_6_2
% 172.57/26.82    (13)  all_56_2 = all_52_1
% 172.57/26.82    (14)   ~ (e3 = e0)
% 172.57/26.82    (15)   ~ (all_6_2 = e0)
% 172.57/26.82    (16)  op(e3, e3) = all_6_2
% 172.57/26.82    (17)  all_56_6 = e0
% 172.57/26.82    (18)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 172.57/26.82    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.57/26.82            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.57/26.82    (20)  all_54_12 = all_52_3
% 172.57/26.82    (21)   ~ (all_52_1 = all_52_3)
% 172.57/26.82    (22)   ~ (e1 = e0)
% 172.57/26.82    (23)  op(all_6_2, e3) = e0
% 172.57/26.82  
% 172.57/26.82  Begin of proof
% 172.57/26.82  | 
% 172.57/26.82  | BETA: splitting (5) gives:
% 172.57/26.82  | 
% 172.57/26.82  | Case 1:
% 172.57/26.82  | | 
% 172.57/26.82  | |   (24)  all_56_0 = e3
% 172.57/26.82  | | 
% 172.57/26.82  | | COMBINE_EQS: (8), (24) imply:
% 172.57/26.82  | |   (25)  all_6_2 = e3
% 172.57/26.82  | | 
% 172.57/26.82  | | REF_CLOSE: (4), (15), (16), (19), (23), (25) are inconsistent by sub-proof
% 172.57/26.82  | |            #360.
% 172.57/26.82  | | 
% 172.57/26.82  | Case 2:
% 172.57/26.82  | | 
% 172.57/26.82  | |   (26)   ~ (all_56_0 = e3)
% 172.57/26.82  | |   (27)  all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.57/26.82  | | 
% 172.57/26.82  | | REDUCE: (8), (26) imply:
% 172.57/26.82  | |   (28)   ~ (all_6_2 = e3)
% 172.57/26.82  | | 
% 172.57/26.82  | | REF_CLOSE: (1), (2), (3), (6), (7), (9), (10), (11), (12), (13), (14), (17),
% 172.57/26.82  | |            (18), (20), (21), (22), (27), (28) are inconsistent by sub-proof
% 172.57/26.82  | |            #365.
% 172.57/26.82  | | 
% 172.57/26.82  | End of split
% 172.57/26.82  | 
% 172.57/26.82  End of proof
% 172.57/26.82  
% 172.57/26.82  Sub-proof #346 shows that the following formulas are inconsistent:
% 172.57/26.82  ----------------------------------------------------------------
% 172.57/26.82    (1)  op(e3, all_6_2) = all_58_0
% 172.57/26.82    (2)   ~ (e2 = e1)
% 172.57/26.82    (3)  e2 = e1
% 172.57/26.82    (4)  all_58_16 = all_6_2
% 172.57/26.82    (5)   ~ (all_6_2 = e0)
% 172.57/26.82    (6)  op(e3, e3) = all_6_2
% 172.57/26.82    (7)  all_58_17 = e2
% 172.57/26.82    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.57/26.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.57/26.82    (9)  all_58_16 = e3 | all_58_17 = e2
% 172.57/26.82    (10)  op(all_6_2, e3) = e0
% 172.57/26.82  
% 172.57/26.82  Begin of proof
% 172.57/26.82  | 
% 172.57/26.82  | SIMP: (3) implies:
% 172.57/26.82  |   (11)  e2 = e1
% 172.57/26.82  | 
% 172.57/26.82  | COMBINE_EQS: (7), (11) imply:
% 172.57/26.82  |   (12)  all_58_17 = e1
% 172.57/26.82  | 
% 172.57/26.82  | REF_CLOSE: (1), (2), (4), (5), (6), (8), (9), (10), (12) are inconsistent by
% 172.57/26.82  |            sub-proof #347.
% 172.57/26.82  | 
% 172.57/26.82  End of proof
% 172.57/26.82  
% 172.57/26.82  Sub-proof #347 shows that the following formulas are inconsistent:
% 172.57/26.82  ----------------------------------------------------------------
% 172.57/26.82    (1)  op(e3, all_6_2) = all_58_0
% 172.57/26.82    (2)  all_58_17 = e1
% 172.57/26.82    (3)   ~ (e2 = e1)
% 172.57/26.82    (4)  all_58_16 = all_6_2
% 172.57/26.82    (5)   ~ (all_6_2 = e0)
% 172.57/26.82    (6)  op(e3, e3) = all_6_2
% 172.57/26.82    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.57/26.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.57/26.82    (8)  all_58_16 = e3 | all_58_17 = e2
% 172.57/26.82    (9)  op(all_6_2, e3) = e0
% 172.57/26.82  
% 172.57/26.82  Begin of proof
% 172.57/26.82  | 
% 172.57/26.82  | BETA: splitting (8) gives:
% 172.57/26.82  | 
% 172.57/26.82  | Case 1:
% 172.57/26.82  | | 
% 172.57/26.82  | |   (10)  all_58_17 = e2
% 172.57/26.82  | | 
% 172.57/26.82  | | REF_CLOSE: (2), (3), (10) are inconsistent by sub-proof #466.
% 172.57/26.82  | | 
% 172.57/26.82  | Case 2:
% 172.57/26.82  | | 
% 172.57/26.82  | |   (11)  all_58_16 = e3
% 172.57/26.82  | | 
% 172.57/26.82  | | COMBINE_EQS: (4), (11) imply:
% 172.57/26.82  | |   (12)  all_6_2 = e3
% 172.57/26.82  | | 
% 172.57/26.82  | | REF_CLOSE: (1), (5), (6), (7), (9), (12) are inconsistent by sub-proof #360.
% 172.57/26.82  | | 
% 172.57/26.82  | End of split
% 172.57/26.82  | 
% 172.57/26.82  End of proof
% 172.57/26.82  
% 172.57/26.82  Sub-proof #348 shows that the following formulas are inconsistent:
% 172.57/26.82  ----------------------------------------------------------------
% 172.57/26.82    (1)  op(e1, e3) = all_52_2
% 172.57/26.82    (2)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 172.57/26.82    (3)  op(e3, all_6_2) = all_58_0
% 172.57/26.82    (4)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.57/26.82    (5)  all_56_0 = all_6_2
% 172.57/26.82    (6)   ~ (all_52_2 = e0)
% 172.57/26.82    (7)  op(e2, e3) = all_52_1
% 172.57/26.82    (8)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.57/26.82    (9)   ~ (all_6_2 = e0)
% 172.57/26.82    (10)  op(e3, e3) = all_6_2
% 172.57/26.82    (11)  all_54_0 = all_6_2
% 172.57/26.82    (12)   ~ (all_52_1 = e0)
% 172.57/26.82    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.57/26.82            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.57/26.82    (14)  op(all_6_2, e3) = e0
% 172.57/26.82  
% 172.57/26.82  Begin of proof
% 172.57/26.82  | 
% 172.57/26.82  | BETA: splitting (2) gives:
% 172.57/26.82  | 
% 172.57/26.82  | Case 1:
% 172.57/26.82  | | 
% 172.57/26.82  | |   (15)  all_54_0 = e0
% 172.57/26.82  | | 
% 172.57/26.82  | | REF_CLOSE: (9), (11), (15) are inconsistent by sub-proof #984.
% 172.57/26.82  | | 
% 172.57/26.82  | Case 2:
% 172.57/26.82  | | 
% 172.57/26.82  | |   (16)   ~ (all_54_0 = e0)
% 172.57/26.82  | |   (17)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.57/26.82  | | 
% 172.57/26.82  | | BETA: splitting (8) gives:
% 172.57/26.82  | | 
% 172.57/26.82  | | Case 1:
% 172.57/26.82  | | | 
% 172.57/26.82  | | |   (18)  all_56_0 = e2
% 172.57/26.82  | | | 
% 172.57/26.82  | | | COMBINE_EQS: (5), (18) imply:
% 172.57/26.82  | | |   (19)  all_6_2 = e2
% 172.57/26.82  | | | 
% 172.57/26.82  | | | REF_CLOSE: (7), (12), (13), (14), (19) are inconsistent by sub-proof #359.
% 172.57/26.82  | | | 
% 172.57/26.82  | | Case 2:
% 172.57/26.82  | | | 
% 172.57/26.82  | | |   (20)   ~ (all_56_0 = e2)
% 172.57/26.82  | | | 
% 172.57/26.82  | | | REF_CLOSE: (1), (3), (4), (5), (6), (9), (10), (11), (13), (14), (17),
% 172.57/26.82  | | |            (20) are inconsistent by sub-proof #351.
% 172.57/26.82  | | | 
% 172.57/26.82  | | End of split
% 172.57/26.82  | | 
% 172.57/26.82  | End of split
% 172.57/26.82  | 
% 172.57/26.82  End of proof
% 172.57/26.82  
% 172.57/26.82  Sub-proof #349 shows that the following formulas are inconsistent:
% 172.57/26.82  ----------------------------------------------------------------
% 172.57/26.82    (1)  all_56_1 = all_52_4
% 172.57/26.82    (2)  op(e1, e3) = all_52_2
% 172.57/26.82    (3)  op(e3, all_52_12) = all_58_3
% 172.57/26.82    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 172.57/26.82    (5)   ~ (all_10_2 = e0)
% 172.57/26.82    (6)   ~ (e3 = e1)
% 172.57/26.82    (7)  all_58_23 = all_52_7
% 172.57/26.82    (8)   ~ (all_52_4 = all_4_2)
% 172.57/26.82    (9)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.57/26.82    (10)  all_56_5 = all_52_9
% 172.57/26.82    (11)  op(e2, e0) = all_52_13
% 172.57/26.82    (12)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 172.57/26.82    (13)   ~ (all_52_6 = all_4_2)
% 172.57/26.82    (14)  op(e3, all_6_2) = all_58_0
% 172.57/26.82    (15)  op(e1, e0) = all_52_14
% 172.57/26.82    (16)  all_54_1 = all_52_4
% 172.57/26.82    (17)   ~ (all_52_9 = all_4_2)
% 172.57/26.82    (18)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 172.57/26.82    (19)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.57/26.82    (20)  all_56_8 = all_10_2
% 172.57/26.82    (21)  op(e2, all_52_1) = all_58_4
% 172.57/26.82    (22)  all_58_26 = all_10_2
% 172.57/26.82    (23)   ~ (all_52_4 = all_52_6)
% 172.57/26.82    (24)   ~ (all_52_3 = all_6_2)
% 172.57/26.82    (25)   ~ (all_52_1 = all_6_2)
% 172.57/26.82    (26)  all_56_11 = all_52_14
% 172.57/26.82    (27)   ~ (all_52_6 = all_52_7)
% 172.57/26.82    (28)  all_56_0 = all_6_2
% 172.57/26.82    (29)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.57/26.82    (30)  all_58_27 = all_52_11
% 172.57/26.82    (31)  all_58_17 = all_52_1
% 172.57/26.82    (32)  op(e3, e1) = all_52_8
% 172.57/26.82    (33)  all_58_19 = all_52_3
% 172.57/26.82    (34)  all_56_9 = all_52_12
% 172.57/26.82    (35)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 172.57/26.82    (36)   ~ (e3 = e2)
% 172.57/26.82    (37)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.57/26.82    (38)   ~ (all_52_1 = all_4_2)
% 172.57/26.82    (39)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.57/26.82    (40)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.57/26.82    (41)   ~ (all_52_13 = all_52_14)
% 172.57/26.82    (42)  all_58_18 = all_52_2
% 172.57/26.82    (43)  all_58_16 = all_6_2
% 172.57/26.82    (44)  op(e0, e3) = all_52_3
% 172.57/26.82    (45)   ~ (all_52_12 = e0)
% 172.57/26.82    (46)   ~ (all_52_8 = all_52_9)
% 172.57/26.82    (47)   ~ (all_52_4 = all_6_2)
% 172.57/26.82    (48)  all_56_2 = all_52_1
% 172.57/26.82    (49)   ~ (e3 = e0)
% 172.57/26.82    (50)   ~ (all_52_1 = all_52_2)
% 172.57/26.82    (51)   ~ (all_52_13 = e0)
% 172.57/26.82    (52)   ~ (all_52_6 = all_52_14)
% 172.57/26.82    (53)   ~ (all_52_8 = all_10_2)
% 172.57/26.82    (54)  all_56_4 = all_52_8
% 172.57/26.82    (55)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.57/26.82    (56)  all_58_20 = all_52_4
% 172.57/26.82    (57)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.57/26.82    (58)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.57/26.82    (59)   ~ (all_52_8 = all_52_11)
% 172.57/26.82    (60)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 172.57/26.82    (61)  op(e3, e3) = all_6_2
% 172.57/26.82    (62)  all_58_24 = all_52_8
% 172.57/26.82    (63)  all_58_22 = all_52_6
% 172.57/26.82    (64)   ~ (all_52_4 = all_52_12)
% 172.57/26.82    (65)  all_56_3 = all_4_2
% 172.57/26.82    (66)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.57/26.82    (67)  all_54_0 = all_6_2
% 172.57/26.82    (68)   ~ (all_52_4 = all_52_8)
% 172.57/26.82    (69)  all_58_25 = all_52_9
% 172.57/26.82    (70)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.57/26.82            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.57/26.82    (71)  all_58_15 = e0
% 172.57/26.82    (72)   ~ (all_52_2 = all_52_14)
% 172.57/26.82    (73)  all_58_21 = all_4_2
% 172.57/26.82    (74)  all_56_10 = all_52_13
% 172.57/26.82    (75)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.57/26.82    (76)   ~ (all_52_1 = all_52_3)
% 172.57/26.82    (77)   ~ (all_52_14 = e0)
% 172.57/26.82    (78)  op(e1, all_52_6) = all_58_9
% 172.57/26.82    (79)   ~ (e1 = e0)
% 172.57/26.82    (80)  op(all_6_2, e3) = e0
% 172.57/26.82    (81)  all_56_7 = all_52_6
% 172.57/26.82    (82)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.57/26.82            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.57/26.82            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.57/26.82            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.57/26.82            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.57/26.82            (all_58_15 = e0))
% 172.57/26.82    (83)  all_54_5 = all_4_2
% 172.57/26.82    (84)   ~ (all_52_2 = all_10_2)
% 172.57/26.82    (85)  all_56_0 = e3 | all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3
% 172.57/26.82    (86)  all_54_11 = all_52_14
% 172.57/26.82    (87)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.57/26.82  
% 172.57/26.82  Begin of proof
% 172.57/26.82  | 
% 172.57/26.82  | BETA: splitting (35) gives:
% 172.57/26.82  | 
% 172.57/26.82  | Case 1:
% 172.57/26.82  | | 
% 172.57/26.82  | |   (88)  all_56_7 = e0
% 172.57/26.82  | | 
% 172.57/26.82  | | COMBINE_EQS: (81), (88) imply:
% 172.57/26.82  | |   (89)  all_52_6 = e0
% 172.57/26.82  | | 
% 172.57/26.82  | | COMBINE_EQS: (63), (89) imply:
% 172.57/26.82  | |   (90)  all_58_22 = e0
% 172.57/26.82  | | 
% 172.57/26.82  | | REDUCE: (23), (89) imply:
% 172.57/26.82  | |   (91)   ~ (all_52_4 = e0)
% 172.57/26.82  | | 
% 172.57/26.82  | | REDUCE: (27), (89) imply:
% 172.57/26.82  | |   (92)   ~ (all_52_7 = e0)
% 172.57/26.82  | | 
% 172.57/26.82  | | SIMP: (92) implies:
% 172.57/26.82  | |   (93)   ~ (all_52_7 = e0)
% 172.57/26.82  | | 
% 172.57/26.82  | | REDUCE: (52), (89) imply:
% 172.57/26.82  | |   (94)   ~ (all_52_14 = e0)
% 172.57/26.82  | | 
% 172.57/26.82  | | REDUCE: (13), (89) imply:
% 172.57/26.82  | |   (95)   ~ (all_4_2 = e0)
% 172.57/26.82  | | 
% 172.57/26.82  | | SIMP: (95) implies:
% 172.57/26.82  | |   (96)   ~ (all_4_2 = e0)
% 172.57/26.82  | | 
% 172.57/26.82  | | REDUCE: (78), (89) imply:
% 172.57/26.82  | |   (97)  op(e1, e0) = all_58_9
% 172.57/26.82  | | 
% 172.57/26.82  | | GROUND_INST: instantiating (70) with all_52_14, all_58_9, e0, e1,
% 172.57/26.82  | |              simplifying with (15), (97) gives:
% 172.57/26.82  | |   (98)  all_58_9 = all_52_14
% 172.57/26.82  | | 
% 172.57/26.82  | | BETA: splitting (57) gives:
% 172.57/26.82  | | 
% 172.57/26.82  | | Case 1:
% 172.57/26.82  | | | 
% 172.57/26.82  | | |   (99)  all_56_0 = e0
% 172.57/26.82  | | | 
% 172.57/26.82  | | | COMBINE_EQS: (28), (99) imply:
% 172.57/26.82  | | |   (100)  all_6_2 = e0
% 172.57/26.82  | | | 
% 172.57/26.82  | | | SIMP: (100) implies:
% 172.57/26.82  | | |   (101)  all_6_2 = e0
% 172.57/26.82  | | | 
% 172.57/26.82  | | | REF_CLOSE: (24), (44), (70), (80), (101) are inconsistent by sub-proof
% 172.57/26.82  | | |            #357.
% 172.57/26.82  | | | 
% 172.57/26.82  | | Case 2:
% 172.57/26.82  | | | 
% 172.57/26.82  | | |   (102)   ~ (all_56_0 = e0)
% 172.57/26.82  | | | 
% 172.57/26.82  | | | REDUCE: (28), (102) imply:
% 172.57/26.82  | | |   (103)   ~ (all_6_2 = e0)
% 172.57/26.82  | | | 
% 172.57/26.82  | | | BETA: splitting (60) gives:
% 172.57/26.82  | | | 
% 172.57/26.82  | | | Case 1:
% 172.57/26.82  | | | | 
% 172.57/26.82  | | | |   (104)  all_56_0 = e0
% 172.57/26.82  | | | | 
% 172.57/26.82  | | | | REF_CLOSE: (28), (103), (104) are inconsistent by sub-proof #939.
% 172.57/26.82  | | | | 
% 172.57/26.82  | | | Case 2:
% 172.57/26.82  | | | | 
% 172.57/26.82  | | | |   (105)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 172.57/26.82  | | | | 
% 172.57/26.82  | | | | BETA: splitting (105) gives:
% 172.57/26.83  | | | | 
% 172.57/26.83  | | | | Case 1:
% 172.57/26.83  | | | | | 
% 172.57/26.83  | | | | |   (106)  all_56_1 = e0
% 172.57/26.83  | | | | | 
% 172.57/26.83  | | | | | COMBINE_EQS: (1), (106) imply:
% 172.57/26.83  | | | | |   (107)  all_52_4 = e0
% 172.57/26.83  | | | | | 
% 172.57/26.83  | | | | | REDUCE: (91), (107) imply:
% 172.57/26.83  | | | | |   (108)  $false
% 172.57/26.83  | | | | | 
% 172.57/26.83  | | | | | CLOSE: (108) is inconsistent.
% 172.57/26.83  | | | | | 
% 172.57/26.83  | | | | Case 2:
% 172.57/26.83  | | | | | 
% 172.57/26.83  | | | | |   (109)  all_56_4 = e0 | all_56_9 = e0
% 172.57/26.83  | | | | | 
% 172.57/26.83  | | | | | BETA: splitting (109) gives:
% 172.57/26.83  | | | | | 
% 172.57/26.83  | | | | | Case 1:
% 172.57/26.83  | | | | | | 
% 172.57/26.83  | | | | | |   (110)  all_56_4 = e0
% 172.57/26.83  | | | | | | 
% 172.57/26.83  | | | | | | COMBINE_EQS: (54), (110) imply:
% 172.57/26.83  | | | | | |   (111)  all_52_8 = e0
% 172.57/26.83  | | | | | | 
% 172.57/26.83  | | | | | | COMBINE_EQS: (62), (111) imply:
% 172.57/26.83  | | | | | |   (112)  all_58_24 = e0
% 172.57/26.83  | | | | | | 
% 172.57/26.83  | | | | | | REDUCE: (46), (111) imply:
% 172.57/26.83  | | | | | |   (113)   ~ (all_52_9 = e0)
% 172.57/26.83  | | | | | | 
% 172.57/26.83  | | | | | | SIMP: (113) implies:
% 172.57/26.83  | | | | | |   (114)   ~ (all_52_9 = e0)
% 172.57/26.83  | | | | | | 
% 172.57/26.83  | | | | | | REDUCE: (59), (111) imply:
% 172.57/26.83  | | | | | |   (115)   ~ (all_52_11 = e0)
% 172.57/26.83  | | | | | | 
% 172.57/26.83  | | | | | | SIMP: (115) implies:
% 172.57/26.83  | | | | | |   (116)   ~ (all_52_11 = e0)
% 172.57/26.83  | | | | | | 
% 172.57/26.83  | | | | | | REDUCE: (53), (111) imply:
% 172.57/26.83  | | | | | |   (117)   ~ (all_10_2 = e0)
% 172.57/26.83  | | | | | | 
% 172.57/26.83  | | | | | | REDUCE: (32), (111) imply:
% 172.57/26.83  | | | | | |   (118)  op(e3, e1) = e0
% 172.57/26.83  | | | | | | 
% 172.57/26.83  | | | | | | BETA: splitting (55) gives:
% 172.57/26.83  | | | | | | 
% 172.57/26.83  | | | | | | Case 1:
% 172.57/26.83  | | | | | | | 
% 172.57/26.83  | | | | | | |   (119)  all_56_2 = e0
% 172.57/26.83  | | | | | | | 
% 172.57/26.83  | | | | | | | COMBINE_EQS: (48), (119) imply:
% 172.57/26.83  | | | | | | |   (120)  all_52_1 = e0
% 172.57/26.83  | | | | | | | 
% 172.57/26.83  | | | | | | | COMBINE_EQS: (31), (120) imply:
% 172.57/26.83  | | | | | | |   (121)  all_58_17 = e0
% 172.57/26.83  | | | | | | | 
% 172.57/26.83  | | | | | | | REDUCE: (50), (120) imply:
% 172.57/26.83  | | | | | | |   (122)   ~ (all_52_2 = e0)
% 172.57/26.83  | | | | | | | 
% 172.57/26.83  | | | | | | | SIMP: (122) implies:
% 172.57/26.83  | | | | | | |   (123)   ~ (all_52_2 = e0)
% 172.57/26.83  | | | | | | | 
% 172.57/26.83  | | | | | | | REDUCE: (76), (120) imply:
% 172.57/26.83  | | | | | | |   (124)   ~ (all_52_3 = e0)
% 172.57/26.83  | | | | | | | 
% 172.57/26.83  | | | | | | | SIMP: (124) implies:
% 172.57/26.83  | | | | | | |   (125)   ~ (all_52_3 = e0)
% 172.57/26.83  | | | | | | | 
% 172.57/26.83  | | | | | | | REDUCE: (25), (120) imply:
% 172.57/26.83  | | | | | | |   (126)   ~ (all_6_2 = e0)
% 172.57/26.83  | | | | | | | 
% 172.57/26.83  | | | | | | | REDUCE: (21), (120) imply:
% 172.57/26.83  | | | | | | |   (127)  op(e2, e0) = all_58_4
% 172.57/26.83  | | | | | | | 
% 172.57/26.83  | | | | | | | GROUND_INST: instantiating (70) with all_52_13, all_58_4, e0, e2,
% 172.57/26.83  | | | | | | |              simplifying with (11), (127) gives:
% 172.57/26.83  | | | | | | |   (128)  all_58_4 = all_52_13
% 172.57/26.83  | | | | | | | 
% 172.57/26.83  | | | | | | | BETA: splitting (18) gives:
% 172.57/26.83  | | | | | | | 
% 172.57/26.83  | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | 
% 172.57/26.83  | | | | | | | |   (129)  all_54_11 = e0
% 172.57/26.83  | | | | | | | | 
% 172.57/26.83  | | | | | | | | REF_CLOSE: (77), (86), (129) are inconsistent by sub-proof #558.
% 172.57/26.83  | | | | | | | | 
% 172.57/26.83  | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | 
% 172.57/26.83  | | | | | | | |   (130)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 172.57/26.83  | | | | | | | | 
% 172.57/26.83  | | | | | | | | BETA: splitting (12) gives:
% 172.57/26.83  | | | | | | | | 
% 172.57/26.83  | | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | | 
% 172.57/26.83  | | | | | | | | |   (131)  all_54_5 = e0
% 172.57/26.83  | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | REF_CLOSE: (83), (96), (131) are inconsistent by sub-proof
% 172.57/26.83  | | | | | | | | |            #983.
% 172.57/26.83  | | | | | | | | | 
% 172.57/26.83  | | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | | 
% 172.57/26.83  | | | | | | | | |   (132)   ~ (all_54_5 = e0)
% 172.57/26.83  | | | | | | | | |   (133)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 172.57/26.83  | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | BETA: splitting (39) gives:
% 172.57/26.83  | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | |   (134)  all_54_1 = e0
% 172.57/26.83  | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | REF_CLOSE: (16), (91), (134) are inconsistent by sub-proof
% 172.57/26.83  | | | | | | | | | |            #866.
% 172.57/26.83  | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | |   (135)   ~ (all_54_1 = e0)
% 172.57/26.83  | | | | | | | | | |   (136)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 172.57/26.83  | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | BETA: splitting (4) gives:
% 172.57/26.83  | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | |   (137)  all_54_0 = e0
% 172.57/26.83  | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | REF_CLOSE: (67), (103), (137) are inconsistent by sub-proof
% 172.57/26.83  | | | | | | | | | | |            #984.
% 172.57/26.83  | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | |   (138)   ~ (all_54_0 = e0)
% 172.57/26.83  | | | | | | | | | | |   (139)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.57/26.83  | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | BETA: splitting (58) gives:
% 172.57/26.83  | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | |   (140)  all_58_23 = e0
% 172.57/26.83  | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | COMBINE_EQS: (7), (140) imply:
% 172.57/26.83  | | | | | | | | | | | |   (141)  all_52_7 = e0
% 172.57/26.83  | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | REDUCE: (93), (141) imply:
% 172.57/26.83  | | | | | | | | | | | |   (142)  $false
% 172.57/26.83  | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | CLOSE: (142) is inconsistent.
% 172.57/26.83  | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | |   (143)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.57/26.83  | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | BETA: splitting (29) gives:
% 172.57/26.83  | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | |   (144)  all_58_27 = e0
% 172.57/26.83  | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | REF_CLOSE: (30), (116), (144) are inconsistent by sub-proof
% 172.57/26.83  | | | | | | | | | | | | |            #663.
% 172.57/26.83  | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | |   (145)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.57/26.83  | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | BETA: splitting (9) gives:
% 172.57/26.83  | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | |   (146)  all_58_19 = e0
% 172.57/26.83  | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | COMBINE_EQS: (33), (146) imply:
% 172.57/26.83  | | | | | | | | | | | | | |   (147)  all_52_3 = e0
% 172.57/26.83  | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | REDUCE: (125), (147) imply:
% 172.57/26.83  | | | | | | | | | | | | | |   (148)  $false
% 172.57/26.83  | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | CLOSE: (148) is inconsistent.
% 172.57/26.83  | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | |   (149)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.57/26.83  | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | BETA: splitting (40) gives:
% 172.57/26.83  | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | |   (150)  all_56_9 = e1
% 172.57/26.83  | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | COMBINE_EQS: (34), (150) imply:
% 172.57/26.83  | | | | | | | | | | | | | | |   (151)  all_52_12 = e1
% 172.57/26.83  | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | REDUCE: (64), (151) imply:
% 172.57/26.83  | | | | | | | | | | | | | | |   (152)   ~ (all_52_4 = e1)
% 172.57/26.83  | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | REDUCE: (3), (151) imply:
% 172.57/26.83  | | | | | | | | | | | | | | |   (153)  op(e3, e1) = all_58_3
% 172.57/26.83  | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | GROUND_INST: instantiating (70) with e0, all_58_3, e1, e3,
% 172.57/26.83  | | | | | | | | | | | | | | |              simplifying with (118), (153) gives:
% 172.57/26.83  | | | | | | | | | | | | | | |   (154)  all_58_3 = e0
% 172.57/26.83  | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | BETA: splitting (37) gives:
% 172.57/26.83  | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | |   (155)  all_56_0 = e2
% 172.57/26.83  | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | COMBINE_EQS: (28), (155) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | |   (156)  all_6_2 = e2
% 172.57/26.83  | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | SIMP: (156) implies:
% 172.57/26.83  | | | | | | | | | | | | | | | |   (157)  all_6_2 = e2
% 172.57/26.83  | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | COMBINE_EQS: (43), (157) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | |   (158)  all_58_16 = e2
% 172.57/26.83  | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | REDUCE: (47), (157) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | |   (159)   ~ (all_52_4 = e2)
% 172.57/26.83  | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | REDUCE: (103), (157) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | |   (160)   ~ (e2 = e0)
% 172.57/26.83  | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 172.57/26.83  | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | |   (161)  all_58_18 = e1
% 172.57/26.83  | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | COMBINE_EQS: (42), (161) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | |   (162)  all_52_2 = e1
% 172.57/26.83  | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | REDUCE: (72), (162) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | |   (163)   ~ (all_52_14 = e1)
% 172.57/26.83  | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | SIMP: (163) implies:
% 172.57/26.83  | | | | | | | | | | | | | | | | |   (164)   ~ (all_52_14 = e1)
% 172.57/26.83  | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | REDUCE: (84), (162) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | |   (165)   ~ (all_10_2 = e1)
% 172.57/26.83  | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | SIMP: (165) implies:
% 172.57/26.83  | | | | | | | | | | | | | | | | |   (166)   ~ (all_10_2 = e1)
% 172.57/26.83  | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 172.57/26.83  | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | |   (167)  all_56_0 = e3
% 172.57/26.83  | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (155), (167) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | | |   (168)  e3 = e2
% 172.57/26.83  | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | REDUCE: (36), (168) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | | |   (169)  $false
% 172.57/26.83  | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | CLOSE: (169) is inconsistent.
% 172.57/26.83  | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | |   (170)  all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3
% 172.57/26.83  | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | BETA: splitting (136) gives:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | |   (171)  all_54_1 = e1
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (152), (171) are inconsistent by sub-proof
% 172.57/26.83  | | | | | | | | | | | | | | | | | | |            #769.
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | |   (172)  all_54_1 = e3 | all_54_1 = e2
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | BETA: splitting (145) gives:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | |   (173)  all_58_26 = e1
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (166), (173) are inconsistent by sub-proof
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | |            #968.
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | |   (174)  all_58_24 = e3 | all_58_25 = e2
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | BETA: splitting (174) gives:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | |   (175)  all_58_25 = e2
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (69), (175) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | |   (176)  all_52_9 = e2
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | SIMP: (176) implies:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | |   (177)  all_52_9 = e2
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10), (177) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | |   (178)  all_56_5 = e2
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (177) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | |   (179)   ~ (all_4_2 = e2)
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | SIMP: (179) implies:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | |   (180)   ~ (all_4_2 = e2)
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (75) gives:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | |   (181)  all_56_2 = e1
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (79), (119), (181) are inconsistent by sub-proof
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | |            #935.
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | |   (182)  all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | |   (183)  all_56_1 = e3
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1), (183) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | |   (184)  all_52_4 = e3
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (184) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | |   (185)   ~ (all_4_2 = e3)
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (185) implies:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | |   (186)   ~ (all_4_2 = e3)
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (87) gives:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | |   (187)  all_56_2 = e3
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (119), (187) are inconsistent by sub-proof
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | |            #699.
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | |   (188)  all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (189)  all_56_3 = e1
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (65), (189) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (190)  all_4_2 = e1
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (186), (190) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (191)   ~ (e3 = e1)
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (130) gives:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | |   (192)  all_54_11 = e1
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (86), (164), (192) are inconsistent by sub-proof
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | |            #929.
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | |   (193)  all_54_11 = e3 | all_54_11 = e2
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (194)  all_56_3 = e3
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (189), (194) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (195)  e3 = e1
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (195) implies:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (196)  e3 = e1
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (196) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (197)  $false
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (197) is inconsistent.
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (198)  all_56_5 = e3 | all_56_10 = e3
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (199)  all_56_5 = e3
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (178), (199) are inconsistent by sub-proof
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #356.
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (200)  all_56_10 = e3
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (74), (200) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (201)  all_52_13 = e3
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (128), (201) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (202)  all_58_4 = e3
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (201) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (203)   ~ (all_52_14 = e3)
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (203) implies:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (204)   ~ (all_52_14 = e3)
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (205)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_58_2 = e1) &  ~ (all_58_3 = e0)) | ( ~
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_58_6 = e1) &  ~ (all_58_7 = e0))
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (154), (202), (205) are inconsistent by sub-proof
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #355.
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (206)  ( ~ (all_58_8 = e3) &  ~ (all_58_9 = e2) &  ~
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_58_14 = e1) &  ~ (all_58_15 = e0))
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (207)   ~ (all_58_8 = e3) &  ~ (all_58_9 = e2) &  ~
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_10 = e1) &  ~ (all_58_11 = e0)
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (207) implies:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (208)   ~ (all_58_9 = e2)
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (98), (208) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (209)   ~ (all_52_14 = e2)
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (86), (193), (204), (209) are inconsistent by
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #354.
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (210)   ~ (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_14 = e1) &  ~ (all_58_15 = e0)
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (210) implies:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (211)   ~ (all_58_15 = e0)
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (211) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  $false
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (212) is inconsistent.
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (213)   ~ (all_56_3 = e1)
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (213) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (214)   ~ (all_4_2 = e1)
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (133), (180), (186), (214) are inconsistent
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #958.
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | |   (215)   ~ (all_56_1 = e3)
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1), (215) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | |   (216)   ~ (all_52_4 = e3)
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (159), (172), (216) are inconsistent by
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #863.
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | |   (217)  all_58_24 = e3
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (112), (217) are inconsistent by sub-proof
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | |            #926.
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.83  | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | End of split
% 172.57/26.83  | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | |   (218)  all_58_16 = e3 | all_58_17 = e2
% 172.57/26.83  | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (121), (158), (160), (218) are inconsistent
% 172.57/26.83  | | | | | | | | | | | | | | | | |            by sub-proof #705.
% 172.57/26.83  | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | End of split
% 172.57/26.83  | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | |   (219)   ~ (all_56_0 = e2)
% 172.57/26.83  | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | REF_CLOSE: (2), (14), (19), (28), (61), (67), (70), (80),
% 172.57/26.83  | | | | | | | | | | | | | | | |            (103), (123), (139), (219) are inconsistent by
% 172.57/26.83  | | | | | | | | | | | | | | | |            sub-proof #351.
% 172.57/26.83  | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | End of split
% 172.57/26.83  | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | |   (220)   ~ (all_56_9 = e1)
% 172.57/26.83  | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | REDUCE: (34), (220) imply:
% 172.57/26.83  | | | | | | | | | | | | | | |   (221)   ~ (all_52_12 = e1)
% 172.57/26.83  | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | BETA: splitting (66) gives:
% 172.57/26.83  | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | |   (222)  all_56_0 = e1
% 172.57/26.83  | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | COMBINE_EQS: (28), (222) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | |   (223)  all_6_2 = e1
% 172.57/26.83  | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | SIMP: (223) implies:
% 172.57/26.83  | | | | | | | | | | | | | | | |   (224)  all_6_2 = e1
% 172.57/26.83  | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | REF_CLOSE: (2), (70), (80), (123), (224) are inconsistent by
% 172.57/26.83  | | | | | | | | | | | | | | | |            sub-proof #353.
% 172.57/26.83  | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | |   (225)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.57/26.83  | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 172.57/26.83  | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | |   (226)  all_56_1 = e1
% 172.57/26.83  | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | COMBINE_EQS: (1), (226) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | |   (227)  all_52_4 = e1
% 172.57/26.83  | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | SIMP: (227) implies:
% 172.57/26.83  | | | | | | | | | | | | | | | | |   (228)  all_52_4 = e1
% 172.57/26.83  | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | COMBINE_EQS: (56), (228) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | |   (229)  all_58_20 = e1
% 172.57/26.83  | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | REDUCE: (64), (228) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | |   (230)   ~ (all_52_12 = e1)
% 172.57/26.83  | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | BETA: splitting (143) gives:
% 172.57/26.83  | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | |   (231)  all_58_22 = e1
% 172.57/26.83  | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | REF_CLOSE: (79), (90), (231) are inconsistent by sub-proof
% 172.57/26.83  | | | | | | | | | | | | | | | | | |            #923.
% 172.57/26.83  | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | |   (232)  all_58_20 = e3 | all_58_21 = e2
% 172.57/26.83  | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | |   (233)  all_58_21 = e2
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (73), (233) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | |   (234)  all_4_2 = e2
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | REDUCE: (17), (234) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | |   (235)   ~ (all_52_9 = e2)
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | REDUCE: (96), (234) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | |   (236)   ~ (e2 = e0)
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | BETA: splitting (145) gives:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | |   (237)  all_58_26 = e1
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22), (237) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | |   (238)  all_10_2 = e1
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (238) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | |   (239)   ~ (all_52_2 = e1)
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | |   (240)  all_58_18 = e1
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (42), (240) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | |   (241)  all_52_2 = e1
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | REDUCE: (239), (241) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | |   (242)  $false
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | CLOSE: (242) is inconsistent.
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | |   (243)  all_58_16 = e3 | all_58_17 = e2
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | |   (244)  all_58_17 = e2
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (121), (244) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | |   (245)  e2 = e0
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | SIMP: (245) implies:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | |   (246)  e2 = e0
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (233), (246) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | |   (247)  all_58_21 = e0
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (23), (34), (56), (63), (79), (110),
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | |            (143), (221), (225), (236), (247) are inconsistent
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #673.
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | |   (248)  all_58_16 = e3
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (43), (248) imply:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | |   (249)  all_6_2 = e3
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (61), (70), (80), (103), (249) are
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #360.
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | |   (250)  all_58_24 = e3 | all_58_25 = e2
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (69), (112), (235), (250) are inconsistent
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | |            by sub-proof #921.
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | |   (251)  all_58_20 = e3
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (229), (251) are inconsistent by sub-proof
% 172.57/26.83  | | | | | | | | | | | | | | | | | | |            #350.
% 172.57/26.83  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.83  | | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | End of split
% 172.57/26.83  | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.83  | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | |   (252)  all_56_4 = e1 | all_56_9 = e1
% 172.57/26.83  | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (79), (110), (221), (252) are inconsistent
% 172.57/26.83  | | | | | | | | | | | | | | | | |            by sub-proof #674.
% 172.57/26.83  | | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | | End of split
% 172.57/26.83  | | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | | End of split
% 172.57/26.83  | | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | | End of split
% 172.57/26.83  | | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | | End of split
% 172.57/26.83  | | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | | End of split
% 172.57/26.83  | | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | | End of split
% 172.57/26.83  | | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | | End of split
% 172.57/26.83  | | | | | | | | | | 
% 172.57/26.83  | | | | | | | | | End of split
% 172.57/26.83  | | | | | | | | | 
% 172.57/26.83  | | | | | | | | End of split
% 172.57/26.83  | | | | | | | | 
% 172.57/26.83  | | | | | | | End of split
% 172.57/26.83  | | | | | | | 
% 172.57/26.83  | | | | | | Case 2:
% 172.57/26.83  | | | | | | | 
% 172.57/26.83  | | | | | | |   (253)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.57/26.83  | | | | | | | 
% 172.57/26.83  | | | | | | | REF_CLOSE: (10), (51), (65), (74), (96), (114), (253) are
% 172.57/26.83  | | | | | | |            inconsistent by sub-proof #695.
% 172.57/26.83  | | | | | | | 
% 172.57/26.83  | | | | | | End of split
% 172.57/26.83  | | | | | | 
% 172.57/26.83  | | | | | Case 2:
% 172.57/26.83  | | | | | | 
% 172.57/26.83  | | | | | |   (254)  all_56_9 = e0
% 172.57/26.83  | | | | | | 
% 172.57/26.83  | | | | | | COMBINE_EQS: (34), (254) imply:
% 172.57/26.83  | | | | | |   (255)  all_52_12 = e0
% 172.57/26.83  | | | | | | 
% 172.57/26.83  | | | | | | REDUCE: (45), (255) imply:
% 172.57/26.83  | | | | | |   (256)  $false
% 172.57/26.83  | | | | | | 
% 172.57/26.83  | | | | | | CLOSE: (256) is inconsistent.
% 172.57/26.83  | | | | | | 
% 172.57/26.83  | | | | | End of split
% 172.57/26.83  | | | | | 
% 172.57/26.83  | | | | End of split
% 172.57/26.83  | | | | 
% 172.57/26.83  | | | End of split
% 172.57/26.83  | | | 
% 172.57/26.83  | | End of split
% 172.57/26.83  | | 
% 172.57/26.83  | Case 2:
% 172.57/26.83  | | 
% 172.57/26.83  | |   (257)  all_56_8 = e0 | all_56_11 = e0
% 172.57/26.83  | | 
% 172.57/26.83  | | REF_CLOSE: (5), (20), (26), (77), (257) are inconsistent by sub-proof #912.
% 172.57/26.83  | | 
% 172.57/26.83  | End of split
% 172.57/26.83  | 
% 172.57/26.83  End of proof
% 172.57/26.83  
% 172.57/26.83  Sub-proof #350 shows that the following formulas are inconsistent:
% 172.57/26.83  ----------------------------------------------------------------
% 172.57/26.83    (1)  all_58_20 = e3
% 172.57/26.83    (2)  all_58_20 = e1
% 172.57/26.83    (3)   ~ (e3 = e1)
% 172.57/26.83  
% 172.57/26.83  Begin of proof
% 172.57/26.83  | 
% 172.57/26.83  | COMBINE_EQS: (1), (2) imply:
% 172.57/26.83  |   (4)  e3 = e1
% 172.57/26.83  | 
% 172.57/26.83  | SIMP: (4) implies:
% 172.57/26.83  |   (5)  e3 = e1
% 172.57/26.83  | 
% 172.57/26.83  | REDUCE: (3), (5) imply:
% 172.57/26.83  |   (6)  $false
% 172.57/26.83  | 
% 172.57/26.83  | CLOSE: (6) is inconsistent.
% 172.57/26.83  | 
% 172.57/26.83  End of proof
% 172.57/26.83  
% 172.57/26.83  Sub-proof #351 shows that the following formulas are inconsistent:
% 172.57/26.83  ----------------------------------------------------------------
% 172.57/26.83    (1)  op(e1, e3) = all_52_2
% 172.57/26.83    (2)  op(e3, all_6_2) = all_58_0
% 172.57/26.83    (3)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.57/26.83    (4)  all_56_0 = all_6_2
% 172.57/26.83    (5)   ~ (all_52_2 = e0)
% 172.57/26.83    (6)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.57/26.83    (7)   ~ (all_6_2 = e0)
% 172.57/26.83    (8)   ~ (all_56_0 = e2)
% 172.57/26.83    (9)  op(e3, e3) = all_6_2
% 172.57/26.83    (10)  all_54_0 = all_6_2
% 172.57/26.83    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.57/26.83            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.57/26.83    (12)  op(all_6_2, e3) = e0
% 172.57/26.83  
% 172.57/26.83  Begin of proof
% 172.57/26.83  | 
% 172.57/26.83  | REDUCE: (4), (8) imply:
% 172.57/26.83  |   (13)   ~ (all_6_2 = e2)
% 172.57/26.83  | 
% 172.57/26.83  | BETA: splitting (3) gives:
% 172.57/26.83  | 
% 172.57/26.83  | Case 1:
% 172.57/26.83  | | 
% 172.57/26.83  | |   (14)  all_56_0 = e3
% 172.57/26.83  | | 
% 172.57/26.83  | | COMBINE_EQS: (4), (14) imply:
% 172.57/26.83  | |   (15)  all_6_2 = e3
% 172.57/26.83  | | 
% 172.57/26.83  | | REF_CLOSE: (2), (7), (9), (11), (12), (15) are inconsistent by sub-proof
% 172.57/26.83  | |            #360.
% 172.57/26.83  | | 
% 172.57/26.83  | Case 2:
% 172.57/26.83  | | 
% 172.57/26.83  | |   (16)   ~ (all_56_0 = e3)
% 172.57/26.83  | | 
% 172.57/26.83  | | REDUCE: (4), (16) imply:
% 172.57/26.83  | |   (17)   ~ (all_6_2 = e3)
% 172.57/26.83  | | 
% 172.57/26.83  | | REF_CLOSE: (1), (5), (6), (10), (11), (12), (13), (17) are inconsistent by
% 172.57/26.83  | |            sub-proof #352.
% 172.57/26.83  | | 
% 172.57/26.83  | End of split
% 172.57/26.83  | 
% 172.57/26.83  End of proof
% 172.57/26.83  
% 172.57/26.83  Sub-proof #352 shows that the following formulas are inconsistent:
% 172.57/26.83  ----------------------------------------------------------------
% 172.57/26.83    (1)  op(e1, e3) = all_52_2
% 172.57/26.83    (2)   ~ (all_52_2 = e0)
% 172.57/26.83    (3)   ~ (all_6_2 = e2)
% 172.57/26.83    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.57/26.83    (5)   ~ (all_6_2 = e3)
% 172.57/26.83    (6)  all_54_0 = all_6_2
% 172.57/26.83    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.57/26.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.57/26.83    (8)  op(all_6_2, e3) = e0
% 172.57/26.83  
% 172.57/26.83  Begin of proof
% 172.57/26.83  | 
% 172.57/26.83  | BETA: splitting (4) gives:
% 172.57/26.83  | 
% 172.57/26.83  | Case 1:
% 172.57/26.83  | | 
% 172.57/26.83  | |   (9)  all_54_0 = e1
% 172.57/26.83  | | 
% 172.57/26.83  | | COMBINE_EQS: (6), (9) imply:
% 172.57/26.83  | |   (10)  all_6_2 = e1
% 172.57/26.83  | | 
% 172.57/26.83  | | SIMP: (10) implies:
% 172.57/26.83  | |   (11)  all_6_2 = e1
% 172.57/26.83  | | 
% 172.57/26.83  | | REF_CLOSE: (1), (2), (7), (8), (11) are inconsistent by sub-proof #353.
% 172.57/26.83  | | 
% 172.57/26.83  | Case 2:
% 172.57/26.83  | | 
% 172.57/26.83  | |   (12)  all_54_0 = e3 | all_54_0 = e2
% 172.57/26.83  | | 
% 172.57/26.83  | | REF_CLOSE: (3), (5), (6), (12) are inconsistent by sub-proof #843.
% 172.57/26.83  | | 
% 172.57/26.83  | End of split
% 172.57/26.83  | 
% 172.57/26.83  End of proof
% 172.57/26.83  
% 172.57/26.83  Sub-proof #353 shows that the following formulas are inconsistent:
% 172.57/26.83  ----------------------------------------------------------------
% 172.57/26.84    (1)  op(e1, e3) = all_52_2
% 172.57/26.84    (2)   ~ (all_52_2 = e0)
% 172.57/26.84    (3)  all_6_2 = e1
% 172.57/26.84    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.57/26.84           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.57/26.84    (5)  op(all_6_2, e3) = e0
% 172.57/26.84  
% 172.57/26.84  Begin of proof
% 172.57/26.84  | 
% 172.57/26.84  | REDUCE: (3), (5) imply:
% 172.57/26.84  |   (6)  op(e1, e3) = e0
% 172.57/26.84  | 
% 172.57/26.84  | GROUND_INST: instantiating (4) with all_52_2, e0, e3, e1, simplifying with
% 172.57/26.84  |              (1), (6) gives:
% 172.57/26.84  |   (7)  all_52_2 = e0
% 172.57/26.84  | 
% 172.57/26.84  | REDUCE: (2), (7) imply:
% 172.57/26.84  |   (8)  $false
% 172.57/26.84  | 
% 172.57/26.84  | CLOSE: (8) is inconsistent.
% 172.57/26.84  | 
% 172.57/26.84  End of proof
% 172.57/26.84  
% 172.57/26.84  Sub-proof #354 shows that the following formulas are inconsistent:
% 172.57/26.84  ----------------------------------------------------------------
% 172.57/26.84    (1)  all_54_11 = e3 | all_54_11 = e2
% 172.57/26.84    (2)  all_54_11 = all_52_14
% 172.57/26.84    (3)   ~ (all_52_14 = e2)
% 172.57/26.84    (4)   ~ (all_52_14 = e3)
% 172.57/26.84  
% 172.57/26.84  Begin of proof
% 172.57/26.84  | 
% 172.57/26.84  | BETA: splitting (1) gives:
% 172.57/26.84  | 
% 172.57/26.84  | Case 1:
% 172.57/26.84  | | 
% 172.57/26.84  | |   (5)  all_54_11 = e2
% 172.57/26.84  | | 
% 172.57/26.84  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #585.
% 172.57/26.84  | | 
% 172.57/26.84  | Case 2:
% 172.57/26.84  | | 
% 172.57/26.84  | |   (6)  all_54_11 = e3
% 172.57/26.84  | | 
% 172.57/26.84  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #927.
% 172.57/26.84  | | 
% 172.57/26.84  | End of split
% 172.57/26.84  | 
% 172.57/26.84  End of proof
% 172.57/26.84  
% 172.57/26.84  Sub-proof #355 shows that the following formulas are inconsistent:
% 172.57/26.84  ----------------------------------------------------------------
% 172.57/26.84    (1)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.57/26.84           (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.57/26.84           (all_58_6 = e1) &  ~ (all_58_7 = e0))
% 172.57/26.84    (2)  all_58_3 = e0
% 172.57/26.84    (3)  all_58_4 = e3
% 172.57/26.84  
% 172.57/26.84  Begin of proof
% 172.57/26.84  | 
% 172.57/26.84  | BETA: splitting (1) gives:
% 172.57/26.84  | 
% 172.57/26.84  | Case 1:
% 172.57/26.84  | | 
% 172.57/26.84  | |   (4)   ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.57/26.84  | |        (all_58_3 = e0)
% 172.57/26.84  | | 
% 172.57/26.84  | | ALPHA: (4) implies:
% 172.57/26.84  | |   (5)   ~ (all_58_3 = e0)
% 172.57/26.84  | | 
% 172.57/26.84  | | REDUCE: (2), (5) imply:
% 172.57/26.84  | |   (6)  $false
% 172.57/26.84  | | 
% 172.57/26.84  | | CLOSE: (6) is inconsistent.
% 172.57/26.84  | | 
% 172.57/26.84  | Case 2:
% 172.57/26.84  | | 
% 172.57/26.84  | |   (7)   ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~ (all_58_6 = e1) &  ~
% 172.57/26.84  | |        (all_58_7 = e0)
% 172.57/26.84  | | 
% 172.57/26.84  | | ALPHA: (7) implies:
% 172.57/26.84  | |   (8)   ~ (all_58_4 = e3)
% 172.57/26.84  | | 
% 172.57/26.84  | | REDUCE: (3), (8) imply:
% 172.57/26.84  | |   (9)  $false
% 172.57/26.84  | | 
% 172.57/26.84  | | CLOSE: (9) is inconsistent.
% 172.57/26.84  | | 
% 172.57/26.84  | End of split
% 172.57/26.84  | 
% 172.57/26.84  End of proof
% 172.57/26.84  
% 172.57/26.84  Sub-proof #356 shows that the following formulas are inconsistent:
% 172.57/26.84  ----------------------------------------------------------------
% 172.57/26.84    (1)  all_56_5 = e3
% 172.57/26.84    (2)  all_56_5 = e2
% 172.57/26.84    (3)   ~ (e3 = e2)
% 172.57/26.84  
% 172.57/26.84  Begin of proof
% 172.57/26.84  | 
% 172.57/26.84  | COMBINE_EQS: (1), (2) imply:
% 172.57/26.84  |   (4)  e3 = e2
% 172.57/26.84  | 
% 172.57/26.84  | SIMP: (4) implies:
% 172.57/26.84  |   (5)  e3 = e2
% 172.57/26.84  | 
% 172.57/26.84  | REDUCE: (3), (5) imply:
% 172.57/26.84  |   (6)  $false
% 172.57/26.84  | 
% 172.57/26.84  | CLOSE: (6) is inconsistent.
% 172.57/26.84  | 
% 172.57/26.84  End of proof
% 172.57/26.84  
% 172.57/26.84  Sub-proof #357 shows that the following formulas are inconsistent:
% 172.57/26.84  ----------------------------------------------------------------
% 172.57/26.84    (1)   ~ (all_52_3 = all_6_2)
% 172.57/26.84    (2)  op(e0, e3) = all_52_3
% 172.57/26.84    (3)  all_6_2 = e0
% 172.57/26.84    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.57/26.84           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.57/26.84    (5)  op(all_6_2, e3) = e0
% 172.57/26.84  
% 172.57/26.84  Begin of proof
% 172.57/26.84  | 
% 172.57/26.84  | REDUCE: (1), (3) imply:
% 172.57/26.84  |   (6)   ~ (all_52_3 = e0)
% 172.57/26.84  | 
% 172.57/26.84  | REDUCE: (3), (5) imply:
% 172.57/26.84  |   (7)  op(e0, e3) = e0
% 172.57/26.84  | 
% 172.57/26.84  | GROUND_INST: instantiating (4) with all_52_3, e0, e3, e0, simplifying with
% 172.57/26.84  |              (2), (7) gives:
% 172.57/26.84  |   (8)  all_52_3 = e0
% 172.57/26.84  | 
% 172.57/26.84  | REDUCE: (6), (8) imply:
% 172.57/26.84  |   (9)  $false
% 172.57/26.84  | 
% 172.57/26.84  | CLOSE: (9) is inconsistent.
% 172.57/26.84  | 
% 172.57/26.84  End of proof
% 172.57/26.84  
% 172.57/26.84  Sub-proof #358 shows that the following formulas are inconsistent:
% 172.57/26.84  ----------------------------------------------------------------
% 172.57/26.84    (1)  op(e3, all_6_2) = all_58_0
% 172.57/26.84    (2)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.57/26.84    (3)  all_56_0 = all_6_2
% 172.57/26.84    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.57/26.84    (5)   ~ (all_6_2 = e1)
% 172.57/26.84    (6)  op(e2, e3) = all_52_1
% 172.57/26.84    (7)   ~ (all_6_2 = e0)
% 172.57/26.84    (8)  op(e3, e3) = all_6_2
% 172.57/26.84    (9)  all_54_0 = all_6_2
% 172.57/26.84    (10)   ~ (all_52_1 = e0)
% 172.57/26.84    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.57/26.84            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.57/26.84    (12)  op(all_6_2, e3) = e0
% 172.57/26.84  
% 172.57/26.84  Begin of proof
% 172.57/26.84  | 
% 172.57/26.84  | BETA: splitting (4) gives:
% 172.57/26.84  | 
% 172.57/26.84  | Case 1:
% 172.57/26.84  | | 
% 172.57/26.84  | |   (13)  all_54_0 = e1
% 172.57/26.84  | | 
% 172.57/26.84  | | REF_CLOSE: (5), (9), (13) are inconsistent by sub-proof #951.
% 172.57/26.84  | | 
% 172.57/26.84  | Case 2:
% 172.57/26.84  | | 
% 172.57/26.84  | |   (14)  all_54_0 = e3 | all_54_0 = e2
% 172.57/26.84  | | 
% 172.57/26.84  | | BETA: splitting (2) gives:
% 172.57/26.84  | | 
% 172.57/26.84  | | Case 1:
% 172.57/26.84  | | | 
% 172.57/26.84  | | |   (15)  all_56_0 = e3
% 172.57/26.84  | | | 
% 172.57/26.84  | | | COMBINE_EQS: (3), (15) imply:
% 172.57/26.84  | | |   (16)  all_6_2 = e3
% 172.57/26.84  | | | 
% 172.57/26.84  | | | SIMP: (16) implies:
% 172.57/26.84  | | |   (17)  all_6_2 = e3
% 172.57/26.84  | | | 
% 172.57/26.84  | | | REF_CLOSE: (1), (7), (8), (11), (12), (17) are inconsistent by sub-proof
% 172.57/26.84  | | |            #360.
% 172.57/26.84  | | | 
% 172.57/26.84  | | Case 2:
% 172.57/26.84  | | | 
% 172.57/26.84  | | |   (18)   ~ (all_56_0 = e3)
% 172.57/26.84  | | | 
% 172.57/26.84  | | | REDUCE: (3), (18) imply:
% 172.57/26.84  | | |   (19)   ~ (all_6_2 = e3)
% 172.57/26.84  | | | 
% 172.57/26.84  | | | BETA: splitting (14) gives:
% 172.57/26.84  | | | 
% 172.57/26.84  | | | Case 1:
% 172.57/26.84  | | | | 
% 172.57/26.84  | | | |   (20)  all_54_0 = e2
% 172.57/26.84  | | | | 
% 172.57/26.84  | | | | COMBINE_EQS: (9), (20) imply:
% 172.57/26.84  | | | |   (21)  all_6_2 = e2
% 172.57/26.84  | | | | 
% 172.57/26.84  | | | | SIMP: (21) implies:
% 172.57/26.84  | | | |   (22)  all_6_2 = e2
% 172.57/26.84  | | | | 
% 172.57/26.84  | | | | REF_CLOSE: (6), (10), (11), (12), (22) are inconsistent by sub-proof
% 172.57/26.84  | | | |            #359.
% 172.57/26.84  | | | | 
% 172.57/26.84  | | | Case 2:
% 172.57/26.84  | | | | 
% 172.57/26.84  | | | |   (23)  all_54_0 = e3
% 172.57/26.84  | | | | 
% 172.57/26.84  | | | | REF_CLOSE: (9), (19), (23) are inconsistent by sub-proof #945.
% 172.57/26.84  | | | | 
% 172.57/26.84  | | | End of split
% 172.57/26.84  | | | 
% 172.57/26.84  | | End of split
% 172.57/26.84  | | 
% 172.57/26.84  | End of split
% 172.57/26.84  | 
% 172.57/26.84  End of proof
% 172.57/26.84  
% 172.57/26.84  Sub-proof #359 shows that the following formulas are inconsistent:
% 172.57/26.84  ----------------------------------------------------------------
% 172.57/26.84    (1)  all_6_2 = e2
% 172.57/26.84    (2)  op(e2, e3) = all_52_1
% 172.57/26.84    (3)   ~ (all_52_1 = e0)
% 172.57/26.84    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.57/26.84           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.57/26.84    (5)  op(all_6_2, e3) = e0
% 172.57/26.84  
% 172.57/26.84  Begin of proof
% 172.57/26.84  | 
% 172.57/26.84  | REDUCE: (1), (5) imply:
% 172.57/26.84  |   (6)  op(e2, e3) = e0
% 172.57/26.84  | 
% 172.57/26.84  | GROUND_INST: instantiating (4) with all_52_1, e0, e3, e2, simplifying with
% 172.57/26.84  |              (2), (6) gives:
% 172.57/26.84  |   (7)  all_52_1 = e0
% 172.57/26.84  | 
% 172.57/26.84  | REDUCE: (3), (7) imply:
% 172.57/26.84  |   (8)  $false
% 172.57/26.84  | 
% 172.57/26.84  | CLOSE: (8) is inconsistent.
% 172.57/26.84  | 
% 172.57/26.84  End of proof
% 172.57/26.84  
% 172.57/26.84  Sub-proof #360 shows that the following formulas are inconsistent:
% 172.57/26.84  ----------------------------------------------------------------
% 172.57/26.84    (1)  op(e3, all_6_2) = all_58_0
% 172.57/26.84    (2)  all_6_2 = e3
% 172.57/26.84    (3)   ~ (all_6_2 = e0)
% 172.57/26.84    (4)  op(e3, e3) = all_6_2
% 172.57/26.84    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.57/26.84           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.57/26.84    (6)  op(all_6_2, e3) = e0
% 172.57/26.84  
% 172.57/26.84  Begin of proof
% 172.57/26.84  | 
% 172.57/26.84  | REDUCE: (2), (3) imply:
% 172.57/26.84  |   (7)   ~ (e3 = e0)
% 172.57/26.84  | 
% 172.57/26.84  | REDUCE: (2), (6) imply:
% 172.57/26.84  |   (8)  op(e3, e3) = e0
% 172.57/26.84  | 
% 172.57/26.84  | REDUCE: (1), (2) imply:
% 172.57/26.84  |   (9)  op(e3, e3) = all_58_0
% 172.57/26.84  | 
% 172.57/26.84  | REDUCE: (2), (4) imply:
% 172.57/26.84  |   (10)  op(e3, e3) = e3
% 172.57/26.84  | 
% 172.57/26.84  | GROUND_INST: instantiating (5) with e3, all_58_0, e3, e3, simplifying with
% 172.57/26.84  |              (9), (10) gives:
% 172.57/26.84  |   (11)  all_58_0 = e3
% 172.57/26.84  | 
% 172.57/26.84  | GROUND_INST: instantiating (5) with e0, all_58_0, e3, e3, simplifying with
% 172.57/26.84  |              (8), (9) gives:
% 172.57/26.84  |   (12)  all_58_0 = e0
% 172.57/26.84  | 
% 172.57/26.84  | COMBINE_EQS: (11), (12) imply:
% 172.57/26.84  |   (13)  e3 = e0
% 172.57/26.84  | 
% 172.57/26.84  | SIMP: (13) implies:
% 172.57/26.84  |   (14)  e3 = e0
% 172.57/26.84  | 
% 172.57/26.84  | REDUCE: (7), (14) imply:
% 172.57/26.84  |   (15)  $false
% 172.57/26.84  | 
% 172.57/26.84  | CLOSE: (15) is inconsistent.
% 172.57/26.84  | 
% 172.57/26.84  End of proof
% 172.57/26.84  
% 172.57/26.84  Sub-proof #361 shows that the following formulas are inconsistent:
% 172.57/26.84  ----------------------------------------------------------------
% 172.57/26.84    (1)  all_56_1 = all_52_4
% 172.57/26.84    (2)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 172.57/26.84    (3)  all_56_12 = all_52_3
% 172.57/26.84    (4)  op(e3, all_52_12) = all_58_3
% 172.57/26.84    (5)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 172.57/26.84    (6)   ~ (all_52_8 = all_52_12)
% 172.57/26.84    (7)   ~ (e3 = e1)
% 172.57/26.84    (8)  all_58_23 = all_52_7
% 172.57/26.84    (9)   ~ (all_52_2 = all_6_2)
% 172.57/26.84    (10)   ~ (all_52_4 = all_4_2)
% 172.57/26.84    (11)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.57/26.84    (12)  all_56_5 = all_52_9
% 172.57/26.84    (13)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.57/26.84    (14)   ~ (all_52_12 = all_6_2)
% 172.57/26.84    (15)   ~ (all_52_6 = all_4_2)
% 172.57/26.84    (16)  all_56_15 = all_14_2
% 172.57/26.84    (17)  all_54_1 = all_52_4
% 172.57/26.84    (18)  op(e1, all_10_2) = all_58_10
% 172.57/26.84    (19)   ~ (all_52_9 = all_4_2)
% 172.57/26.84    (20)   ~ (all_52_3 = all_52_7)
% 172.57/26.84    (21)  op(e1, e1) = all_10_2
% 172.57/26.84    (22)  all_54_6 = all_52_9
% 172.57/26.84    (23)  all_56_14 = all_52_11
% 172.57/26.84    (24)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 172.57/26.84    (25)   ~ (all_52_13 = all_4_2)
% 172.57/26.84    (26)  all_56_8 = all_10_2
% 172.57/26.84    (27)  op(e2, all_52_1) = all_58_4
% 172.57/26.84    (28)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.57/26.84    (29)  all_58_26 = all_10_2
% 172.57/26.84    (30)   ~ (all_52_4 = all_52_6)
% 172.57/26.84    (31)  all_58_31 = all_14_2
% 172.57/26.84    (32)   ~ (all_52_9 = all_52_13)
% 172.57/26.84    (33)   ~ (all_52_3 = all_6_2)
% 172.57/26.84    (34)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.57/26.84    (35)  all_58_18 = e0
% 172.57/26.84    (36)   ~ (all_52_1 = all_6_2)
% 172.57/26.84    (37)  all_56_11 = all_52_14
% 172.57/26.84    (38)  op(e2, e1) = all_52_9
% 172.57/26.84    (39)   ~ (all_52_6 = all_52_7)
% 172.57/26.84    (40)   ~ (all_4_1 = e0)
% 172.57/26.84    (41)  all_56_0 = all_6_2
% 172.57/26.84    (42)   ~ (all_52_9 = all_10_2)
% 172.57/26.84    (43)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.57/26.84    (44)  all_58_30 = all_52_14
% 172.57/26.84    (45)  all_58_27 = all_52_11
% 172.57/26.84    (46)  op(e3, e2) = all_52_4
% 172.57/26.84    (47)  op(all_4_2, e2) = all_4_1
% 172.57/26.84    (48)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.57/26.84    (49)  all_58_17 = all_52_1
% 172.57/26.84    (50)  all_58_19 = all_52_3
% 172.57/26.84    (51)  all_56_9 = all_52_12
% 172.57/26.84    (52)   ~ (all_52_2 = all_52_6)
% 172.57/26.84    (53)   ~ (e3 = e2)
% 172.57/26.84    (54)   ~ (all_52_4 = all_52_7)
% 172.57/26.84    (55)   ~ (e2 = e1)
% 172.57/26.84    (56)   ~ (all_52_6 = all_10_2)
% 172.57/26.84    (57)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 172.57/26.84    (58)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.57/26.84    (59)   ~ (all_52_7 = all_14_2)
% 172.57/26.84    (60)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.57/26.84    (61)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 172.57/26.84    (62)   ~ (all_52_13 = all_14_2)
% 172.57/26.84    (63)   ~ (all_52_1 = all_4_2)
% 172.57/26.84    (64)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.57/26.84    (65)  all_54_9 = all_52_6
% 172.57/26.84    (66)   ~ (all_52_13 = all_52_14)
% 172.57/26.84    (67)  all_58_18 = all_52_2
% 172.57/26.84    (68)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.57/26.84    (69)  all_58_16 = all_6_2
% 172.57/26.84    (70)  all_56_13 = all_52_7
% 172.57/26.84    (71)   ~ (all_52_8 = all_52_9)
% 172.57/26.84    (72)   ~ (all_52_4 = all_6_2)
% 172.57/26.84    (73)  all_56_2 = all_52_1
% 172.57/26.84    (74)   ~ (e3 = e0)
% 172.57/26.84    (75)  all_58_29 = all_52_13
% 172.57/26.84    (76)   ~ (all_52_1 = all_52_2)
% 172.57/26.84    (77)   ~ (all_4_2 = e0)
% 172.57/26.84    (78)   ~ (all_52_6 = all_52_14)
% 172.57/26.84    (79)   ~ (all_52_7 = all_4_2)
% 172.57/26.84    (80)   ~ (all_52_8 = all_10_2)
% 172.57/26.84    (81)  all_56_4 = all_52_8
% 172.57/26.84    (82)   ~ (all_52_1 = all_52_13)
% 172.57/26.84    (83)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.57/26.84    (84)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 172.57/26.84    (85)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 172.57/26.84    (86)  all_58_20 = all_52_4
% 172.57/26.84    (87)  all_54_10 = all_10_2
% 172.57/26.84    (88)   ~ (all_52_7 = all_52_11)
% 172.57/26.84    (89)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.57/26.84    (90)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 172.57/26.84    (91)  op(all_10_2, e1) = e0
% 172.57/26.84    (92)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.57/26.84    (93)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 172.57/26.84    (94)   ~ (all_52_8 = all_6_2)
% 172.57/26.84    (95)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 172.57/26.84    (96)  all_56_6 = all_52_2
% 172.57/26.84    (97)   ~ (all_52_1 = all_52_9)
% 172.57/26.84    (98)  all_56_6 = e0
% 172.57/26.84    (99)  all_58_24 = all_52_8
% 172.57/26.84    (100)   ~ (all_52_12 = all_52_14)
% 172.57/26.84    (101)  all_58_22 = all_52_6
% 172.57/26.84    (102)   ~ (all_52_4 = all_52_12)
% 172.57/26.84    (103)  all_56_3 = all_4_2
% 172.57/26.84    (104)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.57/26.84    (105)  all_54_0 = all_6_2
% 172.57/26.84    (106)   ~ (all_52_14 = all_10_2)
% 172.57/26.84    (107)   ~ (all_52_2 = all_52_3)
% 172.57/26.84    (108)   ~ (all_52_4 = all_52_8)
% 172.57/26.84    (109)   ~ (all_52_14 = all_14_2)
% 172.57/26.84    (110)  all_58_25 = all_52_9
% 172.57/26.84    (111)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 172.57/26.84    (112)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.57/26.84             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.57/26.84    (113)   ~ (all_52_6 = e0)
% 172.57/26.84    (114)  all_54_12 = all_52_3
% 172.57/26.84    (115)   ~ (all_52_2 = all_52_14)
% 172.57/26.84    (116)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 172.57/26.84    (117)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 172.57/26.84    (118)  all_58_21 = all_4_2
% 172.57/26.84    (119)  all_56_10 = all_52_13
% 172.57/26.84    (120)   ~ (all_52_3 = e0)
% 172.57/26.84    (121)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.57/26.84    (122)   ~ (e2 = e0)
% 172.57/26.84    (123)   ~ (all_52_1 = all_52_3)
% 172.57/26.84    (124)   ~ (all_52_14 = e0)
% 172.57/26.84    (125)  all_58_28 = all_52_12
% 172.57/26.84    (126)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.57/26.84    (127)   ~ (e1 = e0)
% 172.57/26.84    (128)  all_54_4 = all_52_1
% 172.57/26.84    (129)  all_56_7 = all_52_6
% 172.57/26.84    (130)   ~ (all_52_8 = e0)
% 172.57/26.84    (131)  all_54_5 = all_4_2
% 172.57/26.84    (132)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.57/26.84           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.57/26.84           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.57/26.84           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.57/26.84           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.57/26.84           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.57/26.84           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.57/26.84           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.57/26.84           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.57/26.84           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.57/26.84             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.57/26.84             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.57/26.84             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.57/26.84             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.57/26.84             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.57/26.84             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.57/26.84             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.57/26.84             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.57/26.84             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.57/26.84             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.57/26.84             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.57/26.84             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.57/26.84             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.57/26.84             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.57/26.84             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.57/26.84             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.57/26.84           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.57/26.84           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.57/26.84           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.57/26.84             all_58_30 = e0 & e1 = e0)
% 172.57/26.84    (133)  all_54_7 = all_52_13
% 172.57/26.84    (134)  all_56_0 = e3 | all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3
% 172.57/26.84    (135)   ~ (all_52_12 = all_52_13)
% 172.57/26.84  
% 172.57/26.84  Begin of proof
% 172.57/26.84  | 
% 172.57/26.84  | BETA: splitting (68) gives:
% 172.57/26.84  | 
% 172.57/26.84  | Case 1:
% 172.57/26.84  | | 
% 172.57/26.84  | |   (136)  all_56_1 = e0
% 172.57/26.84  | | 
% 172.57/26.84  | | COMBINE_EQS: (1), (136) imply:
% 172.57/26.84  | |   (137)  all_52_4 = e0
% 172.57/26.84  | | 
% 172.57/26.84  | | COMBINE_EQS: (86), (137) imply:
% 172.57/26.84  | |   (138)  all_58_20 = e0
% 172.57/26.84  | | 
% 172.57/26.84  | | REDUCE: (54), (137) imply:
% 172.57/26.84  | |   (139)   ~ (all_52_7 = e0)
% 172.57/26.84  | | 
% 172.57/26.84  | | SIMP: (139) implies:
% 172.57/26.84  | |   (140)   ~ (all_52_7 = e0)
% 172.57/26.84  | | 
% 172.57/26.84  | | REDUCE: (108), (137) imply:
% 172.57/26.84  | |   (141)   ~ (all_52_8 = e0)
% 172.57/26.84  | | 
% 172.57/26.84  | | REDUCE: (102), (137) imply:
% 172.57/26.84  | |   (142)   ~ (all_52_12 = e0)
% 172.57/26.84  | | 
% 172.57/26.84  | | SIMP: (142) implies:
% 172.57/26.84  | |   (143)   ~ (all_52_12 = e0)
% 172.57/26.84  | | 
% 172.57/26.84  | | REDUCE: (72), (137) imply:
% 172.57/26.84  | |   (144)   ~ (all_6_2 = e0)
% 172.57/26.84  | | 
% 172.57/26.84  | | SIMP: (144) implies:
% 172.57/26.84  | |   (145)   ~ (all_6_2 = e0)
% 172.57/26.84  | | 
% 172.57/26.84  | | REDUCE: (46), (137) imply:
% 172.57/26.84  | |   (146)  op(e3, e2) = e0
% 172.57/26.84  | | 
% 172.57/26.84  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13), (14),
% 172.57/26.84  | |            (15), (19), (22), (23), (24), (25), (26), (27), (28), (29), (31),
% 172.57/26.84  | |            (32), (34), (36), (37), (38), (40), (41), (42), (44), (45), (47),
% 172.57/26.84  | |            (49), (50), (51), (52), (53), (55), (56), (60), (62), (63), (67),
% 172.57/26.84  | |            (69), (70), (71), (73), (74), (75), (76), (78), (81), (82), (83),
% 172.57/26.84  | |            (84), (87), (89), (90), (91), (92), (93), (94), (95), (96), (97),
% 172.57/26.84  | |            (99), (100), (101), (103), (104), (105), (106), (107), (110),
% 172.57/26.84  | |            (112), (115), (116), (117), (118), (119), (120), (121), (122),
% 172.57/26.84  | |            (124), (125), (127), (128), (129), (130), (131), (132), (134),
% 172.57/26.84  | |            (135), (136), (138), (140), (143), (145), (146) are inconsistent
% 172.57/26.84  | |            by sub-proof #449.
% 172.57/26.84  | | 
% 172.57/26.84  | Case 2:
% 172.57/26.84  | | 
% 172.57/26.84  | |   (147)   ~ (all_56_1 = e0)
% 172.57/26.84  | |   (148)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.57/26.84  | | 
% 172.57/26.84  | | REDUCE: (1), (147) imply:
% 172.57/26.84  | |   (149)   ~ (all_52_4 = e0)
% 172.57/26.84  | | 
% 172.57/26.84  | | BETA: splitting (57) gives:
% 172.57/26.84  | | 
% 172.57/26.84  | | Case 1:
% 172.57/26.84  | | | 
% 172.57/26.84  | | |   (150)  all_56_1 = e0
% 172.57/26.84  | | | 
% 172.57/26.84  | | | COMBINE_EQS: (1), (150) imply:
% 172.57/26.84  | | |   (151)  all_52_4 = e0
% 172.57/26.84  | | | 
% 172.57/26.84  | | | REDUCE: (149), (151) imply:
% 172.57/26.84  | | |   (152)  $false
% 172.57/26.84  | | | 
% 172.57/26.84  | | | CLOSE: (152) is inconsistent.
% 172.57/26.84  | | | 
% 172.57/26.84  | | Case 2:
% 172.57/26.84  | | | 
% 172.57/26.84  | | |   (153)  all_56_4 = e0 | all_56_9 = e0
% 172.57/26.84  | | | 
% 172.57/26.84  | | | BETA: splitting (153) gives:
% 172.57/26.84  | | | 
% 172.57/26.84  | | | Case 1:
% 172.57/26.84  | | | | 
% 172.57/26.84  | | | |   (154)  all_56_4 = e0
% 172.57/26.84  | | | | 
% 172.57/26.84  | | | | COMBINE_EQS: (81), (154) imply:
% 172.57/26.84  | | | |   (155)  all_52_8 = e0
% 172.57/26.84  | | | | 
% 172.57/26.84  | | | | REDUCE: (130), (155) imply:
% 172.57/26.84  | | | |   (156)  $false
% 172.57/26.84  | | | | 
% 172.57/26.84  | | | | CLOSE: (156) is inconsistent.
% 172.57/26.84  | | | | 
% 172.57/26.84  | | | Case 2:
% 172.57/26.84  | | | | 
% 172.57/26.84  | | | |   (157)  all_56_9 = e0
% 172.57/26.84  | | | | 
% 172.57/26.84  | | | | COMBINE_EQS: (51), (157) imply:
% 172.57/26.84  | | | |   (158)  all_52_12 = e0
% 172.57/26.84  | | | | 
% 172.57/26.84  | | | | COMBINE_EQS: (125), (158) imply:
% 172.57/26.84  | | | |   (159)  all_58_28 = e0
% 172.57/26.84  | | | | 
% 172.57/26.84  | | | | REDUCE: (135), (158) imply:
% 172.57/26.84  | | | |   (160)   ~ (all_52_13 = e0)
% 172.57/26.84  | | | | 
% 172.57/26.84  | | | | SIMP: (160) implies:
% 172.57/26.84  | | | |   (161)   ~ (all_52_13 = e0)
% 172.57/26.84  | | | | 
% 172.57/26.84  | | | | REDUCE: (100), (158) imply:
% 172.57/26.84  | | | |   (162)   ~ (all_52_14 = e0)
% 172.57/26.84  | | | | 
% 172.57/26.84  | | | | REDUCE: (14), (158) imply:
% 172.57/26.84  | | | |   (163)   ~ (all_6_2 = e0)
% 172.57/26.84  | | | | 
% 172.57/26.84  | | | | SIMP: (163) implies:
% 172.57/26.84  | | | |   (164)   ~ (all_6_2 = e0)
% 172.57/26.84  | | | | 
% 172.57/26.84  | | | | BETA: splitting (13) gives:
% 172.57/26.84  | | | | 
% 172.57/26.84  | | | | Case 1:
% 172.57/26.84  | | | | | 
% 172.57/26.84  | | | | |   (165)  all_56_3 = e0
% 172.57/26.84  | | | | | 
% 172.57/26.84  | | | | | COMBINE_EQS: (103), (165) imply:
% 172.57/26.84  | | | | |   (166)  all_4_2 = e0
% 172.57/26.84  | | | | | 
% 172.57/26.84  | | | | | REDUCE: (77), (166) imply:
% 172.57/26.84  | | | | |   (167)  $false
% 172.57/26.84  | | | | | 
% 172.57/26.84  | | | | | CLOSE: (167) is inconsistent.
% 172.57/26.84  | | | | | 
% 172.57/26.84  | | | | Case 2:
% 172.57/26.84  | | | | | 
% 172.57/26.84  | | | | |   (168)  all_56_5 = e0 | all_56_10 = e0
% 172.57/26.84  | | | | | 
% 172.57/26.84  | | | | | BETA: splitting (168) gives:
% 172.57/26.84  | | | | | 
% 172.57/26.84  | | | | | Case 1:
% 172.57/26.84  | | | | | | 
% 172.57/26.84  | | | | | |   (169)  all_56_5 = e0
% 172.57/26.84  | | | | | | 
% 172.57/26.84  | | | | | | COMBINE_EQS: (12), (169) imply:
% 172.57/26.84  | | | | | |   (170)  all_52_9 = e0
% 172.57/26.84  | | | | | | 
% 172.57/26.84  | | | | | | COMBINE_EQS: (110), (170) imply:
% 172.57/26.84  | | | | | |   (171)  all_58_25 = e0
% 172.57/26.84  | | | | | | 
% 172.57/26.84  | | | | | | REDUCE: (97), (170) imply:
% 172.57/26.84  | | | | | |   (172)   ~ (all_52_1 = e0)
% 172.57/26.84  | | | | | | 
% 172.57/26.84  | | | | | | REDUCE: (42), (170) imply:
% 172.57/26.84  | | | | | |   (173)   ~ (all_10_2 = e0)
% 172.57/26.84  | | | | | | 
% 172.57/26.84  | | | | | | SIMP: (173) implies:
% 172.57/26.84  | | | | | |   (174)   ~ (all_10_2 = e0)
% 172.57/26.84  | | | | | | 
% 172.57/26.84  | | | | | | REDUCE: (19), (170) imply:
% 172.57/26.84  | | | | | |   (175)   ~ (all_4_2 = e0)
% 172.57/26.84  | | | | | | 
% 172.57/26.84  | | | | | | BETA: splitting (148) gives:
% 172.57/26.84  | | | | | | 
% 172.57/26.84  | | | | | | Case 1:
% 172.57/26.84  | | | | | | | 
% 172.57/26.84  | | | | | | |   (176)  all_56_3 = e0
% 172.57/26.84  | | | | | | | 
% 172.57/26.84  | | | | | | | COMBINE_EQS: (103), (176) imply:
% 172.57/26.84  | | | | | | |   (177)  all_4_2 = e0
% 172.57/26.84  | | | | | | | 
% 172.57/26.84  | | | | | | | REDUCE: (77), (177) imply:
% 172.57/26.84  | | | | | | |   (178)  $false
% 172.57/26.84  | | | | | | | 
% 172.57/26.84  | | | | | | | CLOSE: (178) is inconsistent.
% 172.57/26.84  | | | | | | | 
% 172.57/26.84  | | | | | | Case 2:
% 172.57/26.84  | | | | | | | 
% 172.57/26.84  | | | | | | |   (179)  all_56_7 = e0 | all_56_13 = e0
% 172.57/26.84  | | | | | | | 
% 172.57/26.84  | | | | | | | BETA: splitting (179) gives:
% 172.57/26.84  | | | | | | | 
% 172.57/26.84  | | | | | | | Case 1:
% 172.57/26.84  | | | | | | | | 
% 172.57/26.84  | | | | | | | |   (180)  all_56_7 = e0
% 172.57/26.84  | | | | | | | | 
% 172.57/26.84  | | | | | | | | COMBINE_EQS: (129), (180) imply:
% 172.57/26.84  | | | | | | | |   (181)  all_52_6 = e0
% 172.57/26.84  | | | | | | | | 
% 172.57/26.84  | | | | | | | | REDUCE: (113), (181) imply:
% 172.57/26.84  | | | | | | | |   (182)  $false
% 172.57/26.84  | | | | | | | | 
% 172.57/26.84  | | | | | | | | CLOSE: (182) is inconsistent.
% 172.57/26.84  | | | | | | | | 
% 172.57/26.84  | | | | | | | Case 2:
% 172.57/26.84  | | | | | | | | 
% 172.57/26.84  | | | | | | | |   (183)  all_56_13 = e0
% 172.57/26.84  | | | | | | | | 
% 172.57/26.84  | | | | | | | | COMBINE_EQS: (70), (183) imply:
% 172.57/26.84  | | | | | | | |   (184)  all_52_7 = e0
% 172.57/26.84  | | | | | | | | 
% 172.57/26.84  | | | | | | | | SIMP: (184) implies:
% 172.57/26.84  | | | | | | | |   (185)  all_52_7 = e0
% 172.57/26.84  | | | | | | | | 
% 172.57/26.84  | | | | | | | | COMBINE_EQS: (8), (185) imply:
% 172.57/26.84  | | | | | | | |   (186)  all_58_23 = e0
% 172.57/26.84  | | | | | | | | 
% 172.57/26.84  | | | | | | | | REDUCE: (88), (185) imply:
% 172.57/26.84  | | | | | | | |   (187)   ~ (all_52_11 = e0)
% 172.57/26.84  | | | | | | | | 
% 172.57/26.84  | | | | | | | | SIMP: (187) implies:
% 172.57/26.84  | | | | | | | |   (188)   ~ (all_52_11 = e0)
% 172.57/26.84  | | | | | | | | 
% 172.57/26.84  | | | | | | | | REDUCE: (59), (185) imply:
% 172.57/26.84  | | | | | | | |   (189)   ~ (all_14_2 = e0)
% 172.57/26.84  | | | | | | | | 
% 172.57/26.84  | | | | | | | | SIMP: (189) implies:
% 172.57/26.84  | | | | | | | |   (190)   ~ (all_14_2 = e0)
% 172.57/26.84  | | | | | | | | 
% 172.57/26.84  | | | | | | | | BETA: splitting (61) gives:
% 172.57/26.84  | | | | | | | | 
% 172.57/26.84  | | | | | | | | Case 1:
% 172.57/26.84  | | | | | | | | | 
% 172.57/26.84  | | | | | | | | |   (191)  all_54_7 = e0
% 172.57/26.84  | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | REF_CLOSE: (133), (161), (191) are inconsistent by sub-proof
% 172.57/26.84  | | | | | | | | |            #714.
% 172.57/26.84  | | | | | | | | | 
% 172.57/26.84  | | | | | | | | Case 2:
% 172.57/26.84  | | | | | | | | | 
% 172.57/26.84  | | | | | | | | |   (192)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 172.57/26.84  | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | BETA: splitting (85) gives:
% 172.57/26.84  | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | Case 1:
% 172.57/26.84  | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | |   (193)  all_54_12 = e0
% 172.57/26.84  | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | COMBINE_EQS: (114), (193) imply:
% 172.57/26.84  | | | | | | | | | |   (194)  all_52_3 = e0
% 172.57/26.84  | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | REDUCE: (120), (194) imply:
% 172.57/26.84  | | | | | | | | | |   (195)  $false
% 172.57/26.84  | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | CLOSE: (195) is inconsistent.
% 172.57/26.84  | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | Case 2:
% 172.57/26.84  | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | |   (196)   ~ (all_54_12 = e0)
% 172.57/26.84  | | | | | | | | | |   (197)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 172.57/26.84  | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | BETA: splitting (11) gives:
% 172.57/26.84  | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | Case 1:
% 172.57/26.84  | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | |   (198)  all_58_19 = e0
% 172.57/26.84  | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | | COMBINE_EQS: (50), (198) imply:
% 172.57/26.84  | | | | | | | | | | |   (199)  all_52_3 = e0
% 172.57/26.84  | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | | REDUCE: (120), (199) imply:
% 172.57/26.84  | | | | | | | | | | |   (200)  $false
% 172.57/26.84  | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | | CLOSE: (200) is inconsistent.
% 172.57/26.84  | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | Case 2:
% 172.57/26.84  | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | |   (201)   ~ (all_58_19 = e0)
% 172.57/26.84  | | | | | | | | | | |   (202)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.57/26.84  | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | | BETA: splitting (43) gives:
% 172.57/26.84  | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | | Case 1:
% 172.57/26.84  | | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | | |   (203)  all_58_27 = e0
% 172.57/26.84  | | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | | | COMBINE_EQS: (45), (203) imply:
% 172.57/26.84  | | | | | | | | | | | |   (204)  all_52_11 = e0
% 172.57/26.84  | | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | | | REDUCE: (188), (204) imply:
% 172.57/26.84  | | | | | | | | | | | |   (205)  $false
% 172.57/26.84  | | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | | | CLOSE: (205) is inconsistent.
% 172.57/26.84  | | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | | Case 2:
% 172.57/26.84  | | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | | |   (206)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.57/26.84  | | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | | | BETA: splitting (28) gives:
% 172.57/26.84  | | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | | | Case 1:
% 172.57/26.84  | | | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | | | |   (207)  all_58_31 = e0
% 172.57/26.84  | | | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | | | | COMBINE_EQS: (31), (207) imply:
% 172.57/26.84  | | | | | | | | | | | | |   (208)  all_14_2 = e0
% 172.57/26.84  | | | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | | | | REDUCE: (190), (208) imply:
% 172.57/26.84  | | | | | | | | | | | | |   (209)  $false
% 172.57/26.84  | | | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | | | | CLOSE: (209) is inconsistent.
% 172.57/26.84  | | | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | | | Case 2:
% 172.57/26.84  | | | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | | | |   (210)   ~ (all_58_31 = e0)
% 172.57/26.84  | | | | | | | | | | | | |   (211)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.57/26.84  | | | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | | | | BETA: splitting (83) gives:
% 172.57/26.84  | | | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | | | | Case 1:
% 172.57/26.84  | | | | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | | | | |   (212)  all_56_4 = e1
% 172.57/26.84  | | | | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | | | | | REF_CLOSE: (7), (29), (80), (81), (99), (122), (171), (206),
% 172.57/26.84  | | | | | | | | | | | | | |            (212) are inconsistent by sub-proof #965.
% 172.57/26.84  | | | | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | | | | Case 2:
% 172.57/26.84  | | | | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | | | | |   (213)   ~ (all_56_4 = e1)
% 172.57/26.84  | | | | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | | | | | REDUCE: (81), (213) imply:
% 172.57/26.84  | | | | | | | | | | | | | |   (214)   ~ (all_52_8 = e1)
% 172.57/26.84  | | | | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | | | | | BETA: splitting (104) gives:
% 172.57/26.84  | | | | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | | | | | Case 1:
% 172.57/26.84  | | | | | | | | | | | | | | | 
% 172.57/26.84  | | | | | | | | | | | | | | |   (215)  all_56_0 = e1
% 172.57/26.84  | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | REF_CLOSE: (1), (7), (10), (15), (16), (17), (29), (30),
% 172.57/26.85  | | | | | | | | | | | | | | |            (31), (33), (34), (35), (36), (37), (41), (44),
% 172.57/26.85  | | | | | | | | | | | | | | |            (48), (49), (50), (58), (60), (62), (64), (65),
% 172.57/26.85  | | | | | | | | | | | | | | |            (66), (69), (72), (74), (75), (77), (78), (81),
% 172.57/26.85  | | | | | | | | | | | | | | |            (82), (98), (99), (101), (103), (106), (108),
% 172.57/26.85  | | | | | | | | | | | | | | |            (109), (111), (113), (114), (117), (118), (119),
% 172.57/26.85  | | | | | | | | | | | | | | |            (120), (123), (124), (126), (129), (131), (132),
% 172.57/26.85  | | | | | | | | | | | | | | |            (133), (149), (157), (159), (164), (171), (172),
% 172.57/26.85  | | | | | | | | | | | | | | |            (183), (186), (190), (192), (197), (202), (206),
% 172.57/26.85  | | | | | | | | | | | | | | |            (211), (215) are inconsistent by sub-proof #363.
% 172.57/26.85  | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | Case 2:
% 172.57/26.85  | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | |   (216)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.57/26.85  | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 172.57/26.85  | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | Case 1:
% 172.57/26.85  | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | |   (217)  all_56_1 = e1
% 172.57/26.85  | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | | COMBINE_EQS: (1), (217) imply:
% 172.57/26.85  | | | | | | | | | | | | | | | |   (218)  all_52_4 = e1
% 172.57/26.85  | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | | REDUCE: (10), (218) imply:
% 172.57/26.85  | | | | | | | | | | | | | | | |   (219)   ~ (all_4_2 = e1)
% 172.57/26.85  | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | | SIMP: (219) implies:
% 172.57/26.85  | | | | | | | | | | | | | | | |   (220)   ~ (all_4_2 = e1)
% 172.57/26.85  | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | | BETA: splitting (121) gives:
% 172.57/26.85  | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.85  | | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | | |   (221)  all_56_2 = e1
% 172.57/26.85  | | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | | | COMBINE_EQS: (73), (221) imply:
% 172.57/26.85  | | | | | | | | | | | | | | | | |   (222)  all_52_1 = e1
% 172.57/26.85  | | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | | | COMBINE_EQS: (49), (222) imply:
% 172.57/26.85  | | | | | | | | | | | | | | | | |   (223)  all_58_17 = e1
% 172.57/26.85  | | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 172.57/26.85  | | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.85  | | | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | | | |   (224)  all_58_18 = e1
% 172.57/26.85  | | | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (127), (224) are inconsistent by sub-proof
% 172.57/26.85  | | | | | | | | | | | | | | | | | |            #888.
% 172.57/26.85  | | | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.85  | | | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | | | |   (225)  all_58_16 = e3 | all_58_17 = e2
% 172.57/26.85  | | | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 172.57/26.85  | | | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | | | | Case 1:
% 172.57/26.85  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | | | | |   (226)  all_58_17 = e2
% 172.57/26.85  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (55), (223), (226) are inconsistent by sub-proof
% 172.57/26.85  | | | | | | | | | | | | | | | | | | |            #466.
% 172.57/26.85  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.85  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | | | | |   (227)  all_58_16 = e3
% 172.57/26.85  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (69), (227) imply:
% 172.57/26.85  | | | | | | | | | | | | | | | | | | |   (228)  all_6_2 = e3
% 172.57/26.85  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (21), (29), (91), (94), (99), (112), (122),
% 172.57/26.85  | | | | | | | | | | | | | | | | | | |            (171), (174), (206), (228) are inconsistent by
% 172.57/26.85  | | | | | | | | | | | | | | | | | | |            sub-proof #362.
% 172.57/26.85  | | | | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | | | | End of split
% 172.57/26.85  | | | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | | | End of split
% 172.57/26.85  | | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | | Case 2:
% 172.57/26.85  | | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | | |   (229)  all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.57/26.85  | | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (55), (66), (74), (75), (103), (119), (127),
% 172.57/26.85  | | | | | | | | | | | | | | | | |            (159), (169), (211), (220), (229) are inconsistent
% 172.57/26.85  | | | | | | | | | | | | | | | | |            by sub-proof #729.
% 172.57/26.85  | | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | | End of split
% 172.57/26.85  | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | Case 2:
% 172.57/26.85  | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | |   (230)  all_56_4 = e1 | all_56_9 = e1
% 172.57/26.85  | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | | REF_CLOSE: (81), (127), (157), (214), (230) are inconsistent
% 172.57/26.85  | | | | | | | | | | | | | | | |            by sub-proof #753.
% 172.57/26.85  | | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | | End of split
% 172.57/26.85  | | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | | End of split
% 172.57/26.85  | | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | | End of split
% 172.57/26.85  | | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | | End of split
% 172.57/26.85  | | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | | End of split
% 172.57/26.85  | | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | | End of split
% 172.57/26.85  | | | | | | | | | | 
% 172.57/26.85  | | | | | | | | | End of split
% 172.57/26.85  | | | | | | | | | 
% 172.57/26.85  | | | | | | | | End of split
% 172.57/26.85  | | | | | | | | 
% 172.57/26.85  | | | | | | | End of split
% 172.57/26.85  | | | | | | | 
% 172.57/26.85  | | | | | | End of split
% 172.57/26.85  | | | | | | 
% 172.57/26.85  | | | | | Case 2:
% 172.57/26.85  | | | | | | 
% 172.57/26.85  | | | | | |   (231)  all_56_10 = e0
% 172.57/26.85  | | | | | | 
% 172.57/26.85  | | | | | | COMBINE_EQS: (119), (231) imply:
% 172.57/26.85  | | | | | |   (232)  all_52_13 = e0
% 172.57/26.85  | | | | | | 
% 172.57/26.85  | | | | | | REDUCE: (161), (232) imply:
% 172.57/26.85  | | | | | |   (233)  $false
% 172.57/26.85  | | | | | | 
% 172.57/26.85  | | | | | | CLOSE: (233) is inconsistent.
% 172.57/26.85  | | | | | | 
% 172.57/26.85  | | | | | End of split
% 172.57/26.85  | | | | | 
% 172.57/26.85  | | | | End of split
% 172.57/26.85  | | | | 
% 172.57/26.85  | | | End of split
% 172.57/26.85  | | | 
% 172.57/26.85  | | End of split
% 172.57/26.85  | | 
% 172.57/26.85  | End of split
% 172.57/26.85  | 
% 172.57/26.85  End of proof
% 172.57/26.85  
% 172.57/26.85  Sub-proof #362 shows that the following formulas are inconsistent:
% 172.57/26.85  ----------------------------------------------------------------
% 172.57/26.85    (1)   ~ (all_10_2 = e0)
% 172.57/26.85    (2)  op(e1, all_10_2) = all_58_10
% 172.57/26.85    (3)  op(e1, e1) = all_10_2
% 172.57/26.85    (4)  all_58_26 = all_10_2
% 172.57/26.85    (5)  all_58_25 = e0
% 172.57/26.85    (6)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.57/26.85    (7)  all_6_2 = e3
% 172.57/26.85    (8)  op(all_10_2, e1) = e0
% 172.57/26.85    (9)   ~ (all_52_8 = all_6_2)
% 172.57/26.85    (10)  all_58_24 = all_52_8
% 172.57/26.85    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.57/26.85            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.57/26.85    (12)   ~ (e2 = e0)
% 172.57/26.85  
% 172.57/26.85  Begin of proof
% 172.57/26.85  | 
% 172.57/26.85  | REDUCE: (7), (9) imply:
% 172.57/26.85  |   (13)   ~ (all_52_8 = e3)
% 172.57/26.85  | 
% 172.57/26.85  | BETA: splitting (6) gives:
% 172.57/26.85  | 
% 172.57/26.85  | Case 1:
% 172.57/26.85  | | 
% 172.57/26.85  | |   (14)  all_58_26 = e1
% 172.57/26.85  | | 
% 172.57/26.85  | | COMBINE_EQS: (4), (14) imply:
% 172.57/26.85  | |   (15)  all_10_2 = e1
% 172.57/26.85  | | 
% 172.57/26.85  | | REF_CLOSE: (1), (2), (3), (8), (11), (15) are inconsistent by sub-proof
% 172.57/26.85  | |            #378.
% 172.57/26.85  | | 
% 172.57/26.85  | Case 2:
% 172.57/26.85  | | 
% 172.57/26.85  | |   (16)  all_58_24 = e3 | all_58_25 = e2
% 172.57/26.85  | | 
% 172.57/26.85  | | REF_CLOSE: (5), (10), (12), (13), (16) are inconsistent by sub-proof #849.
% 172.57/26.85  | | 
% 172.57/26.85  | End of split
% 172.57/26.85  | 
% 172.57/26.85  End of proof
% 172.57/26.85  
% 172.57/26.85  Sub-proof #363 shows that the following formulas are inconsistent:
% 172.57/26.85  ----------------------------------------------------------------
% 172.57/26.85    (1)  all_56_1 = all_52_4
% 172.57/26.85    (2)   ~ (e3 = e1)
% 172.57/26.85    (3)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.57/26.85    (4)   ~ (all_52_4 = all_4_2)
% 172.57/26.85    (5)   ~ (all_52_6 = all_4_2)
% 172.57/26.85    (6)  all_56_15 = all_14_2
% 172.57/26.85    (7)  all_56_0 = e1
% 172.57/26.85    (8)  all_54_1 = all_52_4
% 172.57/26.85    (9)   ~ (all_14_2 = e0)
% 172.57/26.85    (10)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.57/26.85    (11)  all_58_26 = all_10_2
% 172.57/26.85    (12)   ~ (all_52_4 = all_52_6)
% 172.57/26.85    (13)  all_58_31 = all_14_2
% 172.57/26.85    (14)   ~ (all_52_3 = all_6_2)
% 172.57/26.85    (15)  all_58_25 = e0
% 172.57/26.85    (16)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.57/26.85    (17)   ~ (all_52_4 = e0)
% 172.57/26.85    (18)  all_56_9 = e0
% 172.57/26.85    (19)  all_58_18 = e0
% 172.57/26.85    (20)   ~ (all_52_1 = all_6_2)
% 172.57/26.85    (21)  all_56_11 = all_52_14
% 172.57/26.85    (22)  all_56_0 = all_6_2
% 172.57/26.85    (23)  all_58_30 = all_52_14
% 172.57/26.85    (24)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.57/26.85    (25)  all_58_17 = all_52_1
% 172.57/26.85    (26)  all_58_19 = all_52_3
% 172.57/26.85    (27)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.57/26.85    (28)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.57/26.85    (29)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.57/26.85    (30)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 172.57/26.85    (31)   ~ (all_52_13 = all_14_2)
% 172.57/26.85    (32)  all_58_28 = e0
% 172.57/26.85    (33)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.57/26.85    (34)  all_54_9 = all_52_6
% 172.57/26.85    (35)   ~ (all_52_13 = all_52_14)
% 172.64/26.85    (36)  all_58_16 = all_6_2
% 172.64/26.85    (37)   ~ (all_52_4 = all_6_2)
% 172.64/26.85    (38)   ~ (e3 = e0)
% 172.64/26.85    (39)  all_58_29 = all_52_13
% 172.64/26.85    (40)   ~ (all_4_2 = e0)
% 172.64/26.85    (41)   ~ (all_6_2 = e0)
% 172.64/26.85    (42)   ~ (all_52_6 = all_52_14)
% 172.64/26.85    (43)  all_56_4 = all_52_8
% 172.64/26.85    (44)   ~ (all_52_1 = all_52_13)
% 172.64/26.85    (45)  all_56_6 = e0
% 172.64/26.85    (46)  all_56_13 = e0
% 172.64/26.85    (47)  all_58_24 = all_52_8
% 172.64/26.85    (48)  all_58_22 = all_52_6
% 172.64/26.85    (49)  all_56_3 = all_4_2
% 172.64/26.85    (50)   ~ (all_52_14 = all_10_2)
% 172.64/26.85    (51)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 172.64/26.85    (52)   ~ (all_52_1 = e0)
% 172.64/26.85    (53)   ~ (all_52_4 = all_52_8)
% 172.64/26.85    (54)   ~ (all_52_14 = all_14_2)
% 172.64/26.85    (55)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 172.64/26.85    (56)   ~ (all_52_6 = e0)
% 172.64/26.85    (57)  all_54_12 = all_52_3
% 172.64/26.85    (58)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 172.64/26.85    (59)  all_58_21 = all_4_2
% 172.64/26.85    (60)  all_56_10 = all_52_13
% 172.64/26.85    (61)   ~ (all_52_3 = e0)
% 172.64/26.85    (62)   ~ (all_52_1 = all_52_3)
% 172.64/26.85    (63)   ~ (all_52_14 = e0)
% 172.64/26.85    (64)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.64/26.85    (65)  all_56_7 = all_52_6
% 172.64/26.85    (66)  all_54_5 = all_4_2
% 172.64/26.85    (67)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.64/26.85          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.64/26.85          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/26.85          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/26.85          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/26.85          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/26.85          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/26.85          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.64/26.85          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.64/26.85          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.64/26.85            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.64/26.85            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.64/26.85            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.64/26.85            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.64/26.85            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.64/26.85            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.64/26.85            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.64/26.85            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.64/26.85            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/26.85            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.64/26.85            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.64/26.85            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/26.85            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.64/26.85            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.64/26.85            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.64/26.85            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.64/26.85          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.64/26.85          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/26.85          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.64/26.85            all_58_30 = e0 & e1 = e0)
% 172.64/26.85    (68)  all_54_7 = all_52_13
% 172.64/26.85    (69)  all_58_23 = e0
% 172.64/26.85  
% 172.64/26.85  Begin of proof
% 172.64/26.85  | 
% 172.64/26.85  | COMBINE_EQS: (7), (22) imply:
% 172.64/26.85  |   (70)  all_6_2 = e1
% 172.64/26.85  | 
% 172.64/26.85  | COMBINE_EQS: (36), (70) imply:
% 172.64/26.85  |   (71)  all_58_16 = e1
% 172.64/26.85  | 
% 172.64/26.85  | REDUCE: (20), (70) imply:
% 172.64/26.85  |   (72)   ~ (all_52_1 = e1)
% 172.64/26.85  | 
% 172.64/26.85  | REDUCE: (14), (70) imply:
% 172.64/26.85  |   (73)   ~ (all_52_3 = e1)
% 172.64/26.85  | 
% 172.64/26.85  | REDUCE: (37), (70) imply:
% 172.64/26.85  |   (74)   ~ (all_52_4 = e1)
% 172.64/26.85  | 
% 172.64/26.85  | REDUCE: (41), (70) imply:
% 172.64/26.85  |   (75)   ~ (e1 = e0)
% 172.64/26.85  | 
% 172.64/26.85  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 172.64/26.85  |            (13), (15), (16), (17), (18), (19), (21), (23), (24), (25), (26),
% 172.64/26.85  |            (27), (28), (29), (30), (31), (32), (33), (34), (35), (38), (39),
% 172.64/26.85  |            (40), (42), (43), (44), (45), (46), (47), (48), (49), (50), (51),
% 172.64/26.85  |            (52), (53), (54), (55), (56), (57), (58), (59), (60), (61), (62),
% 172.64/26.85  |            (63), (64), (65), (66), (67), (68), (69), (71), (72), (73), (74),
% 172.64/26.85  |            (75) are inconsistent by sub-proof #420.
% 172.64/26.85  | 
% 172.64/26.85  End of proof
% 172.64/26.85  
% 172.64/26.85  Sub-proof #364 shows that the following formulas are inconsistent:
% 172.64/26.85  ----------------------------------------------------------------
% 172.64/26.85    (1)   ~ (all_34_0 = e2) |  ~ (all_34_2 = e3)
% 172.64/26.85    (2)  all_56_12 = all_52_3
% 172.64/26.85    (3)   ~ (all_10_2 = e0)
% 172.64/26.85    (4)   ~ (e3 = e1)
% 172.64/26.85    (5)   ~ (all_52_3 = all_14_2)
% 172.64/26.85    (6)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.64/26.85    (7)   ~ (all_52_12 = all_6_2)
% 172.64/26.85    (8)  all_56_15 = all_14_2
% 172.64/26.85    (9)   ~ (all_52_11 = all_14_2)
% 172.64/26.85    (10)   ~ (all_14_2 = e0)
% 172.64/26.85    (11)  op(e1, all_10_2) = all_58_10
% 172.64/26.85    (12)  op(e1, e1) = all_10_2
% 172.64/26.85    (13)  all_56_14 = all_52_11
% 172.64/26.85    (14)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.64/26.85    (15)  all_34_2 = all_10_2
% 172.64/26.85    (16)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.64/26.85    (17)  all_58_26 = all_10_2
% 172.64/26.85    (18)  all_58_31 = all_14_2
% 172.64/26.85    (19)   ~ (all_52_11 = all_10_2)
% 172.64/26.85    (20)   ~ (all_52_9 = all_52_13)
% 172.64/26.85    (21)   ~ (all_52_3 = all_6_2)
% 172.64/26.85    (22)  all_58_18 = e0
% 172.64/26.85    (23)   ~ (all_52_1 = all_6_2)
% 172.64/26.85    (24)  all_56_11 = all_52_14
% 172.64/26.85    (25)  all_56_0 = all_6_2
% 172.64/26.85    (26)   ~ (all_52_9 = all_10_2)
% 172.64/26.85    (27)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.64/26.85    (28)  all_58_30 = all_52_14
% 172.64/26.85    (29)  all_58_27 = all_52_11
% 172.64/26.85    (30)  all_58_17 = all_52_1
% 172.64/26.85    (31)  all_58_19 = all_52_3
% 172.64/26.85    (32)  all_56_9 = all_52_12
% 172.64/26.85    (33)   ~ (e3 = e2)
% 172.64/26.85    (34)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.64/26.85    (35)   ~ (all_52_13 = all_14_2)
% 172.64/26.85    (36)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.64/26.85    (37)  all_58_16 = all_6_2
% 172.64/26.85    (38)  op(e0, e3) = all_52_3
% 172.64/26.85    (39)   ~ (all_52_12 = e0)
% 172.64/26.85    (40)  all_56_2 = all_52_1
% 172.64/26.85    (41)   ~ (e3 = e0)
% 172.64/26.85    (42)  all_58_29 = all_52_13
% 172.64/26.85    (43)   ~ (all_6_2 = e0)
% 172.64/26.85    (44)  op(e0, all_10_2) = all_10_0
% 172.64/26.85    (45)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.64/26.85    (46)   ~ (all_52_1 = all_52_13)
% 172.64/26.85    (47)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 172.64/26.85    (48)  all_54_10 = all_10_2
% 172.64/26.85    (49)  all_54_15 = all_14_2
% 172.64/26.85    (50)  op(all_10_2, e1) = e0
% 172.64/26.85    (51)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 172.64/26.85    (52)   ~ (all_52_1 = all_52_9)
% 172.64/26.85    (53)  all_56_6 = e0
% 172.64/26.85    (54)  all_56_13 = e0
% 172.64/26.85    (55)  all_54_0 = all_6_2
% 172.64/26.85    (56)  all_58_29 = e0
% 172.64/26.85    (57)   ~ (all_52_14 = all_10_2)
% 172.64/26.85    (58)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 172.64/26.85    (59)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 172.64/26.85    (60)  all_58_24 = e0
% 172.64/26.85    (61)   ~ (all_52_11 = e0)
% 172.64/26.85    (62)   ~ (all_52_14 = all_14_2)
% 172.64/26.85    (63)  all_58_25 = all_52_9
% 172.64/26.85    (64)  all_34_0 = all_10_0
% 172.64/26.85    (65)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/26.85            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/26.85    (66)  all_54_12 = all_52_3
% 172.64/26.85    (67)  op(e0, all_14_2) = all_58_15
% 172.64/26.85    (68)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 172.64/26.85    (69)  all_56_10 = all_52_13
% 172.64/26.85    (70)   ~ (all_52_3 = e0)
% 172.64/26.85    (71)   ~ (e2 = e0)
% 172.64/26.85    (72)   ~ (all_52_1 = all_52_3)
% 172.64/26.85    (73)   ~ (all_52_14 = e0)
% 172.64/26.85    (74)  all_58_28 = all_52_12
% 172.64/26.85    (75)   ~ (e1 = e0)
% 172.64/26.85    (76)  all_54_4 = all_52_1
% 172.64/26.85    (77)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.64/26.85  
% 172.64/26.85  Begin of proof
% 172.64/26.85  | 
% 172.64/26.85  | BETA: splitting (27) gives:
% 172.64/26.85  | 
% 172.64/26.85  | Case 1:
% 172.64/26.85  | | 
% 172.64/26.85  | |   (78)  all_58_27 = e0
% 172.64/26.85  | | 
% 172.64/26.85  | | COMBINE_EQS: (29), (78) imply:
% 172.64/26.85  | |   (79)  all_52_11 = e0
% 172.64/26.85  | | 
% 172.64/26.85  | | REDUCE: (61), (79) imply:
% 172.64/26.85  | |   (80)  $false
% 172.64/26.85  | | 
% 172.64/26.85  | | CLOSE: (80) is inconsistent.
% 172.64/26.85  | | 
% 172.64/26.85  | Case 2:
% 172.64/26.85  | | 
% 172.64/26.85  | |   (81)   ~ (all_58_27 = e0)
% 172.64/26.85  | |   (82)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.64/26.85  | | 
% 172.64/26.85  | | BETA: splitting (6) gives:
% 172.64/26.85  | | 
% 172.64/26.85  | | Case 1:
% 172.64/26.85  | | | 
% 172.64/26.85  | | |   (83)  all_58_19 = e0
% 172.64/26.85  | | | 
% 172.64/26.85  | | | COMBINE_EQS: (31), (83) imply:
% 172.64/26.85  | | |   (84)  all_52_3 = e0
% 172.64/26.85  | | | 
% 172.64/26.85  | | | REDUCE: (70), (84) imply:
% 172.64/26.85  | | |   (85)  $false
% 172.64/26.85  | | | 
% 172.64/26.85  | | | CLOSE: (85) is inconsistent.
% 172.64/26.85  | | | 
% 172.64/26.85  | | Case 2:
% 172.64/26.85  | | | 
% 172.64/26.85  | | |   (86)   ~ (all_58_19 = e0)
% 172.64/26.85  | | |   (87)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.64/26.85  | | | 
% 172.64/26.85  | | | BETA: splitting (16) gives:
% 172.64/26.85  | | | 
% 172.64/26.85  | | | Case 1:
% 172.64/26.85  | | | | 
% 172.64/26.85  | | | |   (88)  all_58_31 = e0
% 172.64/26.85  | | | | 
% 172.64/26.85  | | | | COMBINE_EQS: (18), (88) imply:
% 172.64/26.85  | | | |   (89)  all_14_2 = e0
% 172.64/26.85  | | | | 
% 172.64/26.85  | | | | REDUCE: (10), (89) imply:
% 172.64/26.85  | | | |   (90)  $false
% 172.64/26.85  | | | | 
% 172.64/26.85  | | | | CLOSE: (90) is inconsistent.
% 172.64/26.85  | | | | 
% 172.64/26.85  | | | Case 2:
% 172.64/26.85  | | | | 
% 172.64/26.85  | | | |   (91)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.64/26.85  | | | | 
% 172.64/26.85  | | | | BETA: splitting (45) gives:
% 172.64/26.85  | | | | 
% 172.64/26.85  | | | | Case 1:
% 172.64/26.85  | | | | | 
% 172.64/26.85  | | | | |   (92)  all_56_12 = e3
% 172.64/26.85  | | | | | 
% 172.64/26.85  | | | | | COMBINE_EQS: (2), (92) imply:
% 172.64/26.85  | | | | |   (93)  all_52_3 = e3
% 172.64/26.85  | | | | | 
% 172.64/26.85  | | | | | SIMP: (93) implies:
% 172.64/26.85  | | | | |   (94)  all_52_3 = e3
% 172.64/26.85  | | | | | 
% 172.64/26.85  | | | | | REDUCE: (21), (94) imply:
% 172.64/26.85  | | | | |   (95)   ~ (all_6_2 = e3)
% 172.64/26.85  | | | | | 
% 172.64/26.85  | | | | | SIMP: (95) implies:
% 172.64/26.85  | | | | |   (96)   ~ (all_6_2 = e3)
% 172.64/26.85  | | | | | 
% 172.64/26.85  | | | | | BETA: splitting (87) gives:
% 172.64/26.85  | | | | | 
% 172.64/26.85  | | | | | Case 1:
% 172.64/26.85  | | | | | | 
% 172.64/26.85  | | | | | |   (97)  all_58_18 = e1
% 172.64/26.85  | | | | | | 
% 172.64/26.85  | | | | | | REF_CLOSE: (22), (75), (97) are inconsistent by sub-proof #888.
% 172.64/26.85  | | | | | | 
% 172.64/26.85  | | | | | Case 2:
% 172.64/26.85  | | | | | | 
% 172.64/26.85  | | | | | |   (98)  all_58_16 = e3 | all_58_17 = e2
% 172.64/26.85  | | | | | | 
% 172.64/26.85  | | | | | | BETA: splitting (98) gives:
% 172.64/26.85  | | | | | | 
% 172.64/26.85  | | | | | | Case 1:
% 172.64/26.85  | | | | | | | 
% 172.64/26.85  | | | | | | |   (99)  all_58_17 = e2
% 172.64/26.85  | | | | | | | 
% 172.64/26.85  | | | | | | | COMBINE_EQS: (30), (99) imply:
% 172.64/26.85  | | | | | | |   (100)  all_52_1 = e2
% 172.64/26.85  | | | | | | | 
% 172.64/26.85  | | | | | | | REDUCE: (52), (100) imply:
% 172.64/26.85  | | | | | | |   (101)   ~ (all_52_9 = e2)
% 172.64/26.85  | | | | | | | 
% 172.64/26.85  | | | | | | | SIMP: (101) implies:
% 172.64/26.85  | | | | | | |   (102)   ~ (all_52_9 = e2)
% 172.64/26.85  | | | | | | | 
% 172.64/26.85  | | | | | | | REF_CLOSE: (3), (11), (12), (17), (41), (50), (60), (63), (65),
% 172.64/26.85  | | | | | | |            (82), (102) are inconsistent by sub-proof #377.
% 172.64/26.85  | | | | | | | 
% 172.64/26.85  | | | | | | Case 2:
% 172.64/26.85  | | | | | | | 
% 172.64/26.85  | | | | | | |   (103)  all_58_16 = e3
% 172.64/26.85  | | | | | | | 
% 172.64/26.85  | | | | | | | COMBINE_EQS: (37), (103) imply:
% 172.64/26.85  | | | | | | |   (104)  all_6_2 = e3
% 172.64/26.85  | | | | | | | 
% 172.64/26.85  | | | | | | | REDUCE: (96), (104) imply:
% 172.64/26.85  | | | | | | |   (105)  $false
% 172.64/26.85  | | | | | | | 
% 172.64/26.85  | | | | | | | CLOSE: (105) is inconsistent.
% 172.64/26.85  | | | | | | | 
% 172.64/26.85  | | | | | | End of split
% 172.64/26.85  | | | | | | 
% 172.64/26.85  | | | | | End of split
% 172.64/26.85  | | | | | 
% 172.64/26.85  | | | | Case 2:
% 172.64/26.85  | | | | | 
% 172.64/26.85  | | | | |   (106)   ~ (all_56_12 = e3)
% 172.64/26.85  | | | | | 
% 172.64/26.85  | | | | | REDUCE: (2), (106) imply:
% 172.64/26.85  | | | | |   (107)   ~ (all_52_3 = e3)
% 172.64/26.85  | | | | | 
% 172.64/26.85  | | | | | BETA: splitting (14) gives:
% 172.64/26.85  | | | | | 
% 172.64/26.85  | | | | | Case 1:
% 172.64/26.85  | | | | | | 
% 172.64/26.85  | | | | | |   (108)  all_56_0 = e3
% 172.64/26.85  | | | | | | 
% 172.64/26.85  | | | | | | COMBINE_EQS: (25), (108) imply:
% 172.64/26.85  | | | | | |   (109)  all_6_2 = e3
% 172.64/26.85  | | | | | | 
% 172.64/26.85  | | | | | | REDUCE: (7), (109) imply:
% 172.64/26.85  | | | | | |   (110)   ~ (all_52_12 = e3)
% 172.64/26.85  | | | | | | 
% 172.64/26.85  | | | | | | BETA: splitting (91) gives:
% 172.64/26.85  | | | | | | 
% 172.64/26.85  | | | | | | Case 1:
% 172.64/26.85  | | | | | | | 
% 172.64/26.85  | | | | | | |   (111)  all_58_30 = e1
% 172.64/26.85  | | | | | | | 
% 172.64/26.85  | | | | | | | COMBINE_EQS: (28), (111) imply:
% 172.64/26.85  | | | | | | |   (112)  all_52_14 = e1
% 172.64/26.85  | | | | | | | 
% 172.64/26.85  | | | | | | | REDUCE: (62), (112) imply:
% 172.64/26.85  | | | | | | |   (113)   ~ (all_14_2 = e1)
% 172.64/26.85  | | | | | | | 
% 172.64/26.85  | | | | | | | SIMP: (113) implies:
% 172.64/26.85  | | | | | | |   (114)   ~ (all_14_2 = e1)
% 172.64/26.85  | | | | | | | 
% 172.64/26.85  | | | | | | | REF_CLOSE: (1), (2), (5), (6), (7), (8), (9), (13), (15), (16),
% 172.64/26.85  | | | | | | |            (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 172.64/26.85  | | | | | | |            (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 172.64/26.85  | | | | | | |            (35), (36), (37), (38), (39), (40), (41), (42), (43),
% 172.64/26.85  | | | | | | |            (44), (46), (47), (48), (49), (51), (52), (53), (54),
% 172.64/26.85  | | | | | | |            (55), (57), (58), (60), (61), (63), (64), (65), (67),
% 172.64/26.85  | | | | | | |            (68), (69), (70), (72), (73), (74), (75), (76), (77),
% 172.64/26.85  | | | | | | |            (114) are inconsistent by sub-proof #446.
% 172.64/26.85  | | | | | | | 
% 172.64/26.85  | | | | | | Case 2:
% 172.64/26.85  | | | | | | | 
% 172.64/26.85  | | | | | | |   (115)  all_58_28 = e3 | all_58_29 = e2
% 172.64/26.85  | | | | | | | 
% 172.64/26.85  | | | | | | | REF_CLOSE: (56), (71), (74), (110), (115) are inconsistent by
% 172.64/26.85  | | | | | | |            sub-proof #869.
% 172.64/26.85  | | | | | | | 
% 172.64/26.85  | | | | | | End of split
% 172.64/26.85  | | | | | | 
% 172.64/26.85  | | | | | Case 2:
% 172.64/26.85  | | | | | | 
% 172.64/26.85  | | | | | |   (116)   ~ (all_56_0 = e3)
% 172.64/26.85  | | | | | |   (117)  all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.64/26.85  | | | | | | 
% 172.64/26.85  | | | | | | REDUCE: (25), (116) imply:
% 172.64/26.85  | | | | | |   (118)   ~ (all_6_2 = e3)
% 172.64/26.85  | | | | | | 
% 172.64/26.85  | | | | | | REF_CLOSE: (2), (4), (22), (23), (30), (33), (37), (40), (41), (53),
% 172.64/26.85  | | | | | |            (59), (66), (72), (75), (87), (107), (117), (118) are
% 172.64/26.85  | | | | | |            inconsistent by sub-proof #365.
% 172.64/26.85  | | | | | | 
% 172.64/26.85  | | | | | End of split
% 172.64/26.85  | | | | | 
% 172.64/26.85  | | | | End of split
% 172.64/26.85  | | | | 
% 172.64/26.85  | | | End of split
% 172.64/26.85  | | | 
% 172.64/26.85  | | End of split
% 172.64/26.85  | | 
% 172.64/26.85  | End of split
% 172.64/26.85  | 
% 172.64/26.85  End of proof
% 172.64/26.85  
% 172.64/26.85  Sub-proof #365 shows that the following formulas are inconsistent:
% 172.64/26.85  ----------------------------------------------------------------
% 172.64/26.85    (1)  all_56_12 = all_52_3
% 172.64/26.85    (2)   ~ (e3 = e1)
% 172.64/26.85    (3)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.64/26.85    (4)  all_58_18 = e0
% 172.64/26.85    (5)   ~ (all_52_1 = all_6_2)
% 172.64/26.85    (6)  all_58_17 = all_52_1
% 172.64/26.85    (7)   ~ (e3 = e2)
% 172.64/26.85    (8)   ~ (all_52_3 = e3)
% 172.64/26.85    (9)   ~ (all_6_2 = e3)
% 172.64/26.85    (10)  all_58_16 = all_6_2
% 172.64/26.85    (11)  all_56_2 = all_52_1
% 172.64/26.85    (12)   ~ (e3 = e0)
% 172.64/26.85    (13)  all_56_6 = e0
% 172.64/26.85    (14)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 172.64/26.85    (15)  all_54_12 = all_52_3
% 172.64/26.85    (16)   ~ (all_52_1 = all_52_3)
% 172.64/26.85    (17)   ~ (e1 = e0)
% 172.64/26.85    (18)  all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.64/26.85  
% 172.64/26.85  Begin of proof
% 172.64/26.85  | 
% 172.64/26.85  | BETA: splitting (18) gives:
% 172.64/26.85  | 
% 172.64/26.85  | Case 1:
% 172.64/26.85  | | 
% 172.64/26.85  | |   (19)  all_56_2 = e3
% 172.64/26.85  | | 
% 172.64/26.85  | | COMBINE_EQS: (11), (19) imply:
% 172.64/26.85  | |   (20)  all_52_1 = e3
% 172.64/26.85  | | 
% 172.64/26.85  | | COMBINE_EQS: (6), (20) imply:
% 172.64/26.85  | |   (21)  all_58_17 = e3
% 172.64/26.85  | | 
% 172.64/26.85  | | REDUCE: (5), (20) imply:
% 172.64/26.85  | |   (22)   ~ (all_6_2 = e3)
% 172.64/26.85  | | 
% 172.64/26.85  | | BETA: splitting (3) gives:
% 172.64/26.85  | | 
% 172.64/26.85  | | Case 1:
% 172.64/26.85  | | | 
% 172.64/26.85  | | |   (23)  all_58_18 = e1
% 172.64/26.85  | | | 
% 172.64/26.85  | | | REF_CLOSE: (4), (17), (23) are inconsistent by sub-proof #888.
% 172.64/26.85  | | | 
% 172.64/26.85  | | Case 2:
% 172.64/26.85  | | | 
% 172.64/26.85  | | |   (24)  all_58_16 = e3 | all_58_17 = e2
% 172.64/26.85  | | | 
% 172.64/26.85  | | | REF_CLOSE: (7), (9), (10), (21), (24) are inconsistent by sub-proof #366.
% 172.64/26.85  | | | 
% 172.64/26.85  | | End of split
% 172.64/26.85  | | 
% 172.64/26.85  | Case 2:
% 172.64/26.85  | | 
% 172.64/26.85  | |   (25)  all_56_6 = e3 | all_56_12 = e3
% 172.64/26.85  | | 
% 172.64/26.85  | | BETA: splitting (3) gives:
% 172.64/26.85  | | 
% 172.64/26.85  | | Case 1:
% 172.64/26.85  | | | 
% 172.64/26.85  | | |   (26)  all_58_18 = e1
% 172.64/26.85  | | | 
% 172.64/26.85  | | | REF_CLOSE: (4), (17), (26) are inconsistent by sub-proof #888.
% 172.64/26.85  | | | 
% 172.64/26.85  | | Case 2:
% 172.64/26.85  | | | 
% 172.64/26.85  | | |   (27)  all_58_16 = e3 | all_58_17 = e2
% 172.64/26.85  | | | 
% 172.64/26.85  | | | BETA: splitting (27) gives:
% 172.64/26.85  | | | 
% 172.64/26.85  | | | Case 1:
% 172.64/26.85  | | | | 
% 172.64/26.85  | | | |   (28)  all_58_17 = e2
% 172.64/26.85  | | | | 
% 172.64/26.85  | | | | COMBINE_EQS: (6), (28) imply:
% 172.64/26.85  | | | |   (29)  all_52_1 = e2
% 172.64/26.85  | | | | 
% 172.64/26.85  | | | | REDUCE: (16), (29) imply:
% 172.64/26.85  | | | |   (30)   ~ (all_52_3 = e2)
% 172.64/26.85  | | | | 
% 172.64/26.85  | | | | SIMP: (30) implies:
% 172.64/26.85  | | | |   (31)   ~ (all_52_3 = e2)
% 172.64/26.85  | | | | 
% 172.64/26.85  | | | | BETA: splitting (14) gives:
% 172.64/26.85  | | | | 
% 172.64/26.85  | | | | Case 1:
% 172.64/26.85  | | | | | 
% 172.64/26.85  | | | | |   (32)  all_54_12 = e1
% 172.64/26.85  | | | | | 
% 172.64/26.85  | | | | | COMBINE_EQS: (15), (32) imply:
% 172.64/26.85  | | | | |   (33)  all_52_3 = e1
% 172.64/26.85  | | | | | 
% 172.64/26.85  | | | | | SIMP: (33) implies:
% 172.64/26.85  | | | | |   (34)  all_52_3 = e1
% 172.64/26.85  | | | | | 
% 172.64/26.85  | | | | | COMBINE_EQS: (1), (34) imply:
% 172.64/26.85  | | | | |   (35)  all_56_12 = e1
% 172.64/26.85  | | | | | 
% 172.64/26.85  | | | | | REF_CLOSE: (2), (12), (13), (25), (35) are inconsistent by sub-proof
% 172.64/26.85  | | | | |            #557.
% 172.64/26.85  | | | | | 
% 172.64/26.85  | | | | Case 2:
% 172.64/26.85  | | | | | 
% 172.64/26.85  | | | | |   (36)  all_54_12 = e3 | all_54_12 = e2
% 172.64/26.85  | | | | | 
% 172.64/26.85  | | | | | REF_CLOSE: (8), (15), (31), (36) are inconsistent by sub-proof #411.
% 172.64/26.85  | | | | | 
% 172.64/26.85  | | | | End of split
% 172.64/26.85  | | | | 
% 172.64/26.85  | | | Case 2:
% 172.64/26.85  | | | | 
% 172.64/26.85  | | | |   (37)  all_58_16 = e3
% 172.64/26.85  | | | | 
% 172.64/26.85  | | | | COMBINE_EQS: (10), (37) imply:
% 172.64/26.85  | | | |   (38)  all_6_2 = e3
% 172.64/26.85  | | | | 
% 172.64/26.85  | | | | REDUCE: (9), (38) imply:
% 172.64/26.85  | | | |   (39)  $false
% 172.64/26.85  | | | | 
% 172.64/26.85  | | | | CLOSE: (39) is inconsistent.
% 172.64/26.85  | | | | 
% 172.64/26.85  | | | End of split
% 172.64/26.85  | | | 
% 172.64/26.85  | | End of split
% 172.64/26.85  | | 
% 172.64/26.85  | End of split
% 172.64/26.85  | 
% 172.64/26.85  End of proof
% 172.64/26.85  
% 172.64/26.85  Sub-proof #366 shows that the following formulas are inconsistent:
% 172.64/26.85  ----------------------------------------------------------------
% 172.64/26.85    (1)  all_58_17 = e3
% 172.64/26.85    (2)   ~ (e3 = e2)
% 172.64/26.85    (3)   ~ (all_6_2 = e3)
% 172.64/26.85    (4)  all_58_16 = all_6_2
% 172.64/26.85    (5)  all_58_16 = e3 | all_58_17 = e2
% 172.64/26.85  
% 172.64/26.85  Begin of proof
% 172.64/26.85  | 
% 172.64/26.85  | BETA: splitting (5) gives:
% 172.64/26.85  | 
% 172.64/26.85  | Case 1:
% 172.64/26.85  | | 
% 172.64/26.85  | |   (6)  all_58_17 = e2
% 172.64/26.85  | | 
% 172.64/26.85  | | COMBINE_EQS: (1), (6) imply:
% 172.64/26.85  | |   (7)  e3 = e2
% 172.64/26.85  | | 
% 172.64/26.85  | | REDUCE: (2), (7) imply:
% 172.64/26.85  | |   (8)  $false
% 172.64/26.85  | | 
% 172.64/26.85  | | CLOSE: (8) is inconsistent.
% 172.64/26.85  | | 
% 172.64/26.85  | Case 2:
% 172.64/26.85  | | 
% 172.64/26.85  | |   (9)  all_58_16 = e3
% 172.64/26.85  | | 
% 172.64/26.85  | | COMBINE_EQS: (4), (9) imply:
% 172.64/26.85  | |   (10)  all_6_2 = e3
% 172.64/26.85  | | 
% 172.64/26.85  | | REDUCE: (3), (10) imply:
% 172.64/26.85  | |   (11)  $false
% 172.64/26.85  | | 
% 172.64/26.85  | | CLOSE: (11) is inconsistent.
% 172.64/26.85  | | 
% 172.64/26.85  | End of split
% 172.64/26.85  | 
% 172.64/26.85  End of proof
% 172.64/26.85  
% 172.64/26.85  Sub-proof #367 shows that the following formulas are inconsistent:
% 172.64/26.85  ----------------------------------------------------------------
% 172.64/26.85    (1)   ~ (all_52_12 = all_14_2)
% 172.64/26.85    (2)  all_56_1 = all_52_4
% 172.64/26.85    (3)  all_56_12 = all_52_3
% 172.64/26.85    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 172.64/26.85    (5)   ~ (all_52_8 = all_52_12)
% 172.64/26.85    (6)  all_58_23 = all_52_7
% 172.64/26.85    (7)   ~ (all_52_2 = all_6_2)
% 172.64/26.85    (8)   ~ (all_52_3 = all_14_2)
% 172.64/26.85    (9)   ~ (all_52_4 = all_4_2)
% 172.64/26.85    (10)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.64/26.85    (11)   ~ (all_52_12 = all_6_2)
% 172.64/26.85    (12)  all_56_15 = all_14_2
% 172.64/26.85    (13)  op(e3, all_52_4) = all_58_1
% 172.64/26.85    (14)  all_54_1 = all_52_4
% 172.64/26.85    (15)   ~ (all_52_3 = all_52_7)
% 172.64/26.85    (16)   ~ (all_52_13 = all_4_2)
% 172.64/26.85    (17)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.64/26.85    (18)  all_56_8 = all_10_2
% 172.64/26.85    (19)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.64/26.85    (20)  all_56_14 = e0
% 172.64/26.85    (21)  all_58_26 = all_10_2
% 172.64/26.85    (22)  all_58_31 = all_14_2
% 172.64/26.85    (23)   ~ (all_52_3 = all_6_2)
% 172.64/26.85    (24)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.64/26.85    (25)  all_56_11 = all_52_14
% 172.64/26.85    (26)  all_56_0 = all_6_2
% 172.64/26.85    (27)  all_58_30 = all_52_14
% 172.64/26.85    (28)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 172.64/26.85    (29)  op(e3, e1) = all_52_8
% 172.64/26.85    (30)  all_16_2 = all_14_2
% 172.64/26.85    (31)  all_58_19 = all_52_3
% 172.64/26.85    (32)  all_56_9 = all_52_12
% 172.64/26.85    (33)  all_58_22 = e0
% 172.64/26.85    (34)  all_56_2 = e0
% 172.64/26.85    (35)   ~ (e3 = e2)
% 172.64/26.85    (36)   ~ (all_52_4 = all_52_7)
% 172.64/26.85    (37)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.64/26.85    (38)   ~ (all_52_2 = e0)
% 172.64/26.85    (39)   ~ (all_52_7 = all_14_2)
% 172.64/26.85    (40)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.64/26.85    (41)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.64/26.85    (42)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.64/26.85    (43)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.64/26.85    (44)  all_58_18 = all_52_2
% 172.64/26.85    (45)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.64/26.85    (46)  all_58_16 = all_6_2
% 172.64/26.85    (47)  all_56_13 = all_52_7
% 172.64/26.85    (48)   ~ (all_52_4 = all_6_2)
% 172.64/26.85    (49)   ~ (all_16_1 = e3) |  ~ (all_16_2 = e2)
% 172.64/26.85    (50)  all_58_29 = all_52_13
% 172.64/26.85    (51)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 172.64/26.85    (52)   ~ (all_52_13 = e0)
% 172.64/26.85    (53)  all_56_7 = e0
% 172.64/26.85    (54)   ~ (all_4_2 = e0)
% 172.64/26.86    (55)   ~ (all_52_7 = all_4_2)
% 172.64/26.86    (56)   ~ (all_52_8 = all_10_2)
% 172.64/26.86    (57)  all_56_4 = all_52_8
% 172.64/26.86    (58)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.64/26.86    (59)  all_58_20 = all_52_4
% 172.64/26.86    (60)  all_54_13 = all_52_7
% 172.64/26.86    (61)  all_58_17 = e0
% 172.64/26.86    (62)  op(all_10_2, e1) = e0
% 172.64/26.86    (63)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.64/26.86    (64)   ~ (all_52_8 = all_6_2)
% 172.64/26.86    (65)  all_56_6 = all_52_2
% 172.64/26.86    (66)   ~ (all_52_7 = e0)
% 172.64/26.86    (67)   ~ (all_52_12 = all_52_14)
% 172.64/26.86    (68)  all_58_27 = e0
% 172.64/26.86    (69)   ~ (all_52_4 = all_52_12)
% 172.64/26.86    (70)  all_56_3 = all_4_2
% 172.64/26.86    (71)  all_54_0 = all_6_2
% 172.64/26.86    (72)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 172.64/26.86    (73)   ~ (all_52_2 = all_52_3)
% 172.64/26.86    (74)   ~ (all_52_4 = all_52_8)
% 172.64/26.86    (75)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/26.86            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/26.86    (76)  all_54_12 = all_52_3
% 172.64/26.86    (77)   ~ (all_52_2 = all_52_14)
% 172.64/26.86    (78)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 172.64/26.86    (79)  all_58_21 = all_4_2
% 172.64/26.86    (80)  all_56_10 = all_52_13
% 172.64/26.86    (81)   ~ (all_52_3 = e0)
% 172.64/26.86    (82)   ~ (e2 = e0)
% 172.64/26.86    (83)   ~ (all_52_14 = e0)
% 172.64/26.86    (84)  all_58_28 = all_52_12
% 172.64/26.86    (85)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.64/26.86    (86)   ~ (e1 = e0)
% 172.64/26.86    (87)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.64/26.86    (88)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 172.64/26.86    (89)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.64/26.86          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.64/26.86          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/26.86          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/26.86          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/26.86          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/26.86          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/26.86          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.64/26.86          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.64/26.86          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.64/26.86            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.64/26.86            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.64/26.86            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.64/26.86            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.64/26.86            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.64/26.86            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.64/26.86            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.64/26.86            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.64/26.86            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/26.86            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.64/26.86            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.64/26.86            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/26.86            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.64/26.86            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.64/26.86            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.64/26.86            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.64/26.86          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.64/26.86          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/26.86          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.64/26.86            all_58_30 = e0 & e1 = e0)
% 172.64/26.86    (90)   ~ (all_52_2 = all_10_2)
% 172.64/26.86    (91)   ~ (all_52_12 = all_52_13)
% 172.64/26.86  
% 172.64/26.86  Begin of proof
% 172.64/26.86  | 
% 172.64/26.86  | BETA: splitting (78) gives:
% 172.64/26.86  | 
% 172.64/26.86  | Case 1:
% 172.64/26.86  | | 
% 172.64/26.86  | |   (92)  all_56_9 = e0
% 172.64/26.86  | | 
% 172.64/26.86  | | COMBINE_EQS: (32), (92) imply:
% 172.64/26.86  | |   (93)  all_52_12 = e0
% 172.64/26.86  | | 
% 172.64/26.86  | | SIMP: (93) implies:
% 172.64/26.86  | |   (94)  all_52_12 = e0
% 172.64/26.86  | | 
% 172.64/26.86  | | COMBINE_EQS: (84), (94) imply:
% 172.64/26.86  | |   (95)  all_58_28 = e0
% 172.64/26.86  | | 
% 172.64/26.86  | | REDUCE: (69), (94) imply:
% 172.64/26.86  | |   (96)   ~ (all_52_4 = e0)
% 172.64/26.86  | | 
% 172.64/26.86  | | REDUCE: (5), (94) imply:
% 172.64/26.86  | |   (97)   ~ (all_52_8 = e0)
% 172.64/26.86  | | 
% 172.64/26.86  | | REDUCE: (91), (94) imply:
% 172.64/26.86  | |   (98)   ~ (all_52_13 = e0)
% 172.64/26.86  | | 
% 172.64/26.86  | | REDUCE: (67), (94) imply:
% 172.64/26.86  | |   (99)   ~ (all_52_14 = e0)
% 172.64/26.86  | | 
% 172.64/26.86  | | REDUCE: (1), (94) imply:
% 172.64/26.86  | |   (100)   ~ (all_14_2 = e0)
% 172.64/26.86  | | 
% 172.64/26.86  | | SIMP: (100) implies:
% 172.64/26.86  | |   (101)   ~ (all_14_2 = e0)
% 172.64/26.86  | | 
% 172.64/26.86  | | REDUCE: (11), (94) imply:
% 172.64/26.86  | |   (102)   ~ (all_6_2 = e0)
% 172.64/26.86  | | 
% 172.64/26.86  | | SIMP: (102) implies:
% 172.64/26.86  | |   (103)   ~ (all_6_2 = e0)
% 172.64/26.86  | | 
% 172.64/26.86  | | BETA: splitting (42) gives:
% 172.64/26.86  | | 
% 172.64/26.86  | | Case 1:
% 172.64/26.86  | | | 
% 172.64/26.86  | | |   (104)  all_54_1 = e0
% 172.64/26.86  | | | 
% 172.64/26.86  | | | REF_CLOSE: (14), (96), (104) are inconsistent by sub-proof #866.
% 172.64/26.86  | | | 
% 172.64/26.86  | | Case 2:
% 172.64/26.86  | | | 
% 172.64/26.86  | | |   (105)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 172.64/26.86  | | | 
% 172.64/26.86  | | | BETA: splitting (4) gives:
% 172.64/26.86  | | | 
% 172.64/26.86  | | | Case 1:
% 172.64/26.86  | | | | 
% 172.64/26.86  | | | |   (106)  all_54_0 = e0
% 172.64/26.86  | | | | 
% 172.64/26.86  | | | | REF_CLOSE: (71), (103), (106) are inconsistent by sub-proof #984.
% 172.64/26.86  | | | | 
% 172.64/26.86  | | | Case 2:
% 172.64/26.86  | | | | 
% 172.64/26.86  | | | |   (107)   ~ (all_54_0 = e0)
% 172.64/26.86  | | | |   (108)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.64/26.86  | | | | 
% 172.64/26.86  | | | | BETA: splitting (19) gives:
% 172.64/26.86  | | | | 
% 172.64/26.86  | | | | Case 1:
% 172.64/26.86  | | | | | 
% 172.64/26.86  | | | | |   (109)  all_58_31 = e0
% 172.64/26.86  | | | | | 
% 172.64/26.86  | | | | | COMBINE_EQS: (22), (109) imply:
% 172.64/26.86  | | | | |   (110)  all_14_2 = e0
% 172.64/26.86  | | | | | 
% 172.64/26.86  | | | | | REDUCE: (101), (110) imply:
% 172.64/26.86  | | | | |   (111)  $false
% 172.64/26.86  | | | | | 
% 172.64/26.86  | | | | | CLOSE: (111) is inconsistent.
% 172.64/26.86  | | | | | 
% 172.64/26.86  | | | | Case 2:
% 172.64/26.86  | | | | | 
% 172.64/26.86  | | | | |   (112)   ~ (all_58_31 = e0)
% 172.64/26.86  | | | | |   (113)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.64/26.86  | | | | | 
% 172.64/26.86  | | | | | BETA: splitting (63) gives:
% 172.64/26.86  | | | | | 
% 172.64/26.86  | | | | | Case 1:
% 172.64/26.86  | | | | | | 
% 172.64/26.86  | | | | | |   (114)  all_58_23 = e0
% 172.64/26.86  | | | | | | 
% 172.64/26.86  | | | | | | COMBINE_EQS: (6), (114) imply:
% 172.64/26.86  | | | | | |   (115)  all_52_7 = e0
% 172.64/26.86  | | | | | | 
% 172.64/26.86  | | | | | | REDUCE: (66), (115) imply:
% 172.64/26.86  | | | | | |   (116)  $false
% 172.64/26.86  | | | | | | 
% 172.64/26.86  | | | | | | CLOSE: (116) is inconsistent.
% 172.64/26.86  | | | | | | 
% 172.64/26.86  | | | | | Case 2:
% 172.64/26.86  | | | | | | 
% 172.64/26.86  | | | | | |   (117)   ~ (all_58_23 = e0)
% 172.64/26.86  | | | | | |   (118)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.64/26.86  | | | | | | 
% 172.64/26.86  | | | | | | BETA: splitting (10) gives:
% 172.64/26.86  | | | | | | 
% 172.64/26.86  | | | | | | Case 1:
% 172.64/26.86  | | | | | | | 
% 172.64/26.86  | | | | | | |   (119)  all_58_19 = e0
% 172.64/26.86  | | | | | | | 
% 172.64/26.86  | | | | | | | COMBINE_EQS: (31), (119) imply:
% 172.64/26.86  | | | | | | |   (120)  all_52_3 = e0
% 172.64/26.86  | | | | | | | 
% 172.64/26.86  | | | | | | | REDUCE: (81), (120) imply:
% 172.64/26.86  | | | | | | |   (121)  $false
% 172.64/26.86  | | | | | | | 
% 172.64/26.86  | | | | | | | CLOSE: (121) is inconsistent.
% 172.64/26.86  | | | | | | | 
% 172.64/26.86  | | | | | | Case 2:
% 172.64/26.86  | | | | | | | 
% 172.64/26.86  | | | | | | |   (122)   ~ (all_58_19 = e0)
% 172.64/26.86  | | | | | | |   (123)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.64/26.86  | | | | | | | 
% 172.64/26.86  | | | | | | | BETA: splitting (58) gives:
% 172.64/26.86  | | | | | | | 
% 172.64/26.86  | | | | | | | Case 1:
% 172.64/26.86  | | | | | | | | 
% 172.64/26.86  | | | | | | | |   (124)  all_56_12 = e3
% 172.64/26.86  | | | | | | | | 
% 172.64/26.86  | | | | | | | | COMBINE_EQS: (3), (124) imply:
% 172.64/26.86  | | | | | | | |   (125)  all_52_3 = e3
% 172.64/26.86  | | | | | | | | 
% 172.64/26.86  | | | | | | | | SIMP: (125) implies:
% 172.64/26.86  | | | | | | | |   (126)  all_52_3 = e3
% 172.64/26.86  | | | | | | | | 
% 172.64/26.86  | | | | | | | | COMBINE_EQS: (31), (126) imply:
% 172.64/26.86  | | | | | | | |   (127)  all_58_19 = e3
% 172.64/26.86  | | | | | | | | 
% 172.64/26.86  | | | | | | | | REDUCE: (73), (126) imply:
% 172.64/26.86  | | | | | | | |   (128)   ~ (all_52_2 = e3)
% 172.64/26.86  | | | | | | | | 
% 172.64/26.86  | | | | | | | | REDUCE: (15), (126) imply:
% 172.64/26.86  | | | | | | | |   (129)   ~ (all_52_7 = e3)
% 172.64/26.86  | | | | | | | | 
% 172.64/26.86  | | | | | | | | SIMP: (129) implies:
% 172.64/26.86  | | | | | | | |   (130)   ~ (all_52_7 = e3)
% 172.64/26.86  | | | | | | | | 
% 172.64/26.86  | | | | | | | | REDUCE: (8), (126) imply:
% 172.64/26.86  | | | | | | | |   (131)   ~ (all_14_2 = e3)
% 172.64/26.86  | | | | | | | | 
% 172.64/26.86  | | | | | | | | SIMP: (131) implies:
% 172.64/26.86  | | | | | | | |   (132)   ~ (all_14_2 = e3)
% 172.64/26.86  | | | | | | | | 
% 172.64/26.86  | | | | | | | | REDUCE: (23), (126) imply:
% 172.64/26.86  | | | | | | | |   (133)   ~ (all_6_2 = e3)
% 172.64/26.86  | | | | | | | | 
% 172.64/26.86  | | | | | | | | SIMP: (133) implies:
% 172.64/26.86  | | | | | | | |   (134)   ~ (all_6_2 = e3)
% 172.64/26.86  | | | | | | | | 
% 172.64/26.86  | | | | | | | | REDUCE: (81), (126) imply:
% 172.64/26.86  | | | | | | | |   (135)   ~ (e3 = e0)
% 172.64/26.86  | | | | | | | | 
% 172.64/26.86  | | | | | | | | BETA: splitting (123) gives:
% 172.64/26.86  | | | | | | | | 
% 172.64/26.86  | | | | | | | | Case 1:
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | |   (136)  all_58_18 = e1
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | COMBINE_EQS: (44), (136) imply:
% 172.64/26.86  | | | | | | | | |   (137)  all_52_2 = e1
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | SIMP: (137) implies:
% 172.64/26.86  | | | | | | | | |   (138)  all_52_2 = e1
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | REDUCE: (77), (138) imply:
% 172.64/26.86  | | | | | | | | |   (139)   ~ (all_52_14 = e1)
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | SIMP: (139) implies:
% 172.64/26.86  | | | | | | | | |   (140)   ~ (all_52_14 = e1)
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | REDUCE: (90), (138) imply:
% 172.64/26.86  | | | | | | | | |   (141)   ~ (all_10_2 = e1)
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | SIMP: (141) implies:
% 172.64/26.86  | | | | | | | | |   (142)   ~ (all_10_2 = e1)
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | REDUCE: (7), (138) imply:
% 172.64/26.86  | | | | | | | | |   (143)   ~ (all_6_2 = e1)
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | SIMP: (143) implies:
% 172.64/26.86  | | | | | | | | |   (144)   ~ (all_6_2 = e1)
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | REDUCE: (128), (138) imply:
% 172.64/26.86  | | | | | | | | |   (145)   ~ (e3 = e1)
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | SIMP: (145) implies:
% 172.64/26.86  | | | | | | | | |   (146)   ~ (e3 = e1)
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | BETA: splitting (89) gives:
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | Case 1:
% 172.64/26.86  | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | |   (147)  all_58_31 = e0
% 172.64/26.86  | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | REF_CLOSE: (22), (101), (147) are inconsistent by sub-proof
% 172.64/26.86  | | | | | | | | | |            #831.
% 172.64/26.86  | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | Case 2:
% 172.64/26.86  | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | |   (148)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 |
% 172.64/26.86  | | | | | | | | | |          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 172.64/26.86  | | | | | | | | | |            all_58_24 = e1) | (all_58_17 = e3 & all_58_19 =
% 172.64/26.86  | | | | | | | | | |            e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/26.86  | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 &
% 172.64/26.86  | | | | | | | | | |            all_58_25 = e2) | (all_58_17 = e3 & all_58_20 =
% 172.64/26.86  | | | | | | | | | |            e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/26.86  | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 172.64/26.86  | | | | | | | | | |            all_58_24 = e3) | (all_58_17 = e2 & all_58_19 =
% 172.64/26.86  | | | | | | | | | |            e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/26.86  | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 172.64/26.86  | | | | | | | | | |            all_58_25 = e1) | (all_58_17 = e2 & all_58_20 =
% 172.64/26.86  | | | | | | | | | |            e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.64/26.86  | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 172.64/26.86  | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 172.64/26.86  | | | | | | | | | |            all_58_28 = e0) | (all_58_18 = e3 & all_58_22 =
% 172.64/26.86  | | | | | | | | | |            e1 & all_58_24 = e3 & all_58_25 = e1) |
% 172.64/26.86  | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 172.64/26.86  | | | | | | | | | |            all_58_30 = e1) | (all_58_18 = e1 & all_58_19 =
% 172.64/26.86  | | | | | | | | | |            e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.64/26.86  | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 &
% 172.64/26.86  | | | | | | | | | |            all_58_25 = e2) | (all_58_18 = e1 & all_58_24 =
% 172.64/26.86  | | | | | | | | | |            e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.64/26.86  | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.64/26.86  | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 172.64/26.86  | | | | | | | | | |            all_58_29 = e0) | (all_58_19 = e3 & all_58_27 =
% 172.64/26.86  | | | | | | | | | |            e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.64/26.86  | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 172.64/26.86  | | | | | | | | | |            all_58_29 = e2) | (all_58_19 = e0 & all_58_27 =
% 172.64/26.86  | | | | | | | | | |            e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.64/26.86  | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.64/26.86  | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/26.86  | | | | | | | | | |            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 =
% 172.64/26.86  | | | | | | | | | |            e2 & all_58_27 = e1 & all_58_30 = e1) |
% 172.64/26.86  | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.64/26.86  | | | | | | | | | |            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 =
% 172.64/26.86  | | | | | | | | | |            e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.64/26.86  | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.64/26.86  | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 172.64/26.86  | | | | | | | | | |            all_58_30 = e0) | (all_58_23 = e0 & all_58_27 =
% 172.64/26.86  | | | | | | | | | |            e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/26.86  | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.64/26.86  | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.64/26.86  | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | REF_CLOSE: (12), (21), (25), (26), (27), (28), (33), (37),
% 172.64/26.86  | | | | | | | | | |            (39), (43), (45), (46), (50), (52), (55), (60),
% 172.64/26.86  | | | | | | | | | |            (61), (66), (68), (71), (79), (80), (86), (92),
% 172.64/26.86  | | | | | | | | | |            (95), (108), (113), (123), (127), (130), (132),
% 172.64/26.86  | | | | | | | | | |            (134), (135), (140), (142), (144), (146), (148)
% 172.64/26.86  | | | | | | | | | |            are inconsistent by sub-proof #370.
% 172.64/26.86  | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | End of split
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | Case 2:
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | |   (149)  all_58_16 = e3 | all_58_17 = e2
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | REF_CLOSE: (46), (61), (82), (134), (149) are inconsistent by
% 172.64/26.86  | | | | | | | | |            sub-proof #814.
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | End of split
% 172.64/26.86  | | | | | | | | 
% 172.64/26.86  | | | | | | | Case 2:
% 172.64/26.86  | | | | | | | | 
% 172.64/26.86  | | | | | | | |   (150)   ~ (all_56_12 = e3)
% 172.64/26.86  | | | | | | | | 
% 172.64/26.86  | | | | | | | | REDUCE: (3), (150) imply:
% 172.64/26.86  | | | | | | | |   (151)   ~ (all_52_3 = e3)
% 172.64/26.86  | | | | | | | | 
% 172.64/26.86  | | | | | | | | BETA: splitting (17) gives:
% 172.64/26.86  | | | | | | | | 
% 172.64/26.86  | | | | | | | | Case 1:
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | |   (152)  all_56_0 = e3
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | COMBINE_EQS: (26), (152) imply:
% 172.64/26.86  | | | | | | | | |   (153)  all_6_2 = e3
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | COMBINE_EQS: (46), (153) imply:
% 172.64/26.86  | | | | | | | | |   (154)  all_58_16 = e3
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | REDUCE: (7), (153) imply:
% 172.64/26.86  | | | | | | | | |   (155)   ~ (all_52_2 = e3)
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | REDUCE: (48), (153) imply:
% 172.64/26.86  | | | | | | | | |   (156)   ~ (all_52_4 = e3)
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | REDUCE: (64), (153) imply:
% 172.64/26.86  | | | | | | | | |   (157)   ~ (all_52_8 = e3)
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | REDUCE: (103), (153) imply:
% 172.64/26.86  | | | | | | | | |   (158)   ~ (e3 = e0)
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | BETA: splitting (118) gives:
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | Case 1:
% 172.64/26.86  | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | |   (159)  all_58_22 = e1
% 172.64/26.86  | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | COMBINE_EQS: (33), (159) imply:
% 172.64/26.86  | | | | | | | | | |   (160)  e1 = e0
% 172.64/26.86  | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | REDUCE: (86), (160) imply:
% 172.64/26.86  | | | | | | | | | |   (161)  $false
% 172.64/26.86  | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | CLOSE: (161) is inconsistent.
% 172.64/26.86  | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | Case 2:
% 172.64/26.86  | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | |   (162)  all_58_20 = e3 | all_58_21 = e2
% 172.64/26.86  | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | BETA: splitting (162) gives:
% 172.64/26.86  | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | Case 1:
% 172.64/26.86  | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | |   (163)  all_58_21 = e2
% 172.64/26.86  | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | COMBINE_EQS: (79), (163) imply:
% 172.64/26.86  | | | | | | | | | | |   (164)  all_4_2 = e2
% 172.64/26.86  | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | SIMP: (164) implies:
% 172.64/26.86  | | | | | | | | | | |   (165)  all_4_2 = e2
% 172.64/26.86  | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | COMBINE_EQS: (70), (165) imply:
% 172.64/26.86  | | | | | | | | | | |   (166)  all_56_3 = e2
% 172.64/26.86  | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | REDUCE: (9), (165) imply:
% 172.64/26.86  | | | | | | | | | | |   (167)   ~ (all_52_4 = e2)
% 172.64/26.86  | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | REDUCE: (16), (165) imply:
% 172.64/26.86  | | | | | | | | | | |   (168)   ~ (all_52_13 = e2)
% 172.64/26.86  | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | BETA: splitting (40) gives:
% 172.64/26.86  | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | Case 1:
% 172.64/26.86  | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | |   (169)  all_56_0 = e2
% 172.64/26.86  | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | REF_CLOSE: (35), (152), (169) are inconsistent by sub-proof
% 172.64/26.86  | | | | | | | | | | | |            #735.
% 172.64/26.86  | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | Case 2:
% 172.64/26.86  | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | |   (170)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.64/26.86  | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | BETA: splitting (170) gives:
% 172.64/26.86  | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | Case 1:
% 172.64/26.86  | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | |   (171)  all_56_1 = e2
% 172.64/26.86  | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | COMBINE_EQS: (2), (171) imply:
% 172.64/26.86  | | | | | | | | | | | | |   (172)  all_52_4 = e2
% 172.64/26.86  | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | SIMP: (172) implies:
% 172.64/26.86  | | | | | | | | | | | | |   (173)  all_52_4 = e2
% 172.64/26.86  | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | REDUCE: (167), (173) imply:
% 172.64/26.86  | | | | | | | | | | | | |   (174)  $false
% 172.64/26.86  | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | CLOSE: (174) is inconsistent.
% 172.64/26.86  | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | Case 2:
% 172.64/26.86  | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | |   (175)  all_56_4 = e2 | all_56_9 = e2
% 172.64/26.86  | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | BETA: splitting (175) gives:
% 172.64/26.86  | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | Case 1:
% 172.64/26.86  | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | |   (176)  all_56_4 = e2
% 172.64/26.86  | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | COMBINE_EQS: (57), (176) imply:
% 172.64/26.86  | | | | | | | | | | | | | |   (177)  all_52_8 = e2
% 172.64/26.86  | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | SIMP: (177) implies:
% 172.64/26.86  | | | | | | | | | | | | | |   (178)  all_52_8 = e2
% 172.64/26.86  | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | REDUCE: (56), (178) imply:
% 172.64/26.86  | | | | | | | | | | | | | |   (179)   ~ (all_10_2 = e2)
% 172.64/26.86  | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | SIMP: (179) implies:
% 172.64/26.86  | | | | | | | | | | | | | |   (180)   ~ (all_10_2 = e2)
% 172.64/26.86  | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | REDUCE: (157), (178) imply:
% 172.64/26.86  | | | | | | | | | | | | | |   (181)   ~ (e3 = e2)
% 172.64/26.86  | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | REDUCE: (29), (178) imply:
% 172.64/26.86  | | | | | | | | | | | | | |   (182)  op(e3, e1) = e2
% 172.64/26.86  | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | BETA: splitting (51) gives:
% 172.64/26.86  | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | Case 1:
% 172.64/26.86  | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | |   (183)  all_56_1 = e3
% 172.64/26.86  | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | REF_CLOSE: (2), (156), (183) are inconsistent by sub-proof
% 172.64/26.86  | | | | | | | | | | | | | | |            #567.
% 172.64/26.86  | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | Case 2:
% 172.64/26.86  | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | |   (184)  all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 172.64/26.86  | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 172.64/26.86  | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | Case 1:
% 172.64/26.86  | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | |   (185)  all_56_3 = e3
% 172.64/26.86  | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | COMBINE_EQS: (166), (185) imply:
% 172.64/26.86  | | | | | | | | | | | | | | | |   (186)  e3 = e2
% 172.64/26.86  | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | REDUCE: (35), (186) imply:
% 172.64/26.86  | | | | | | | | | | | | | | | |   (187)  $false
% 172.64/26.86  | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | CLOSE: (187) is inconsistent.
% 172.64/26.86  | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | Case 2:
% 172.64/26.86  | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | |   (188)  all_56_7 = e3 | all_56_13 = e3
% 172.64/26.86  | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 172.64/26.86  | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | Case 1:
% 172.64/26.86  | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | |   (189)  all_56_7 = e3
% 172.64/26.86  | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | COMBINE_EQS: (53), (189) imply:
% 172.64/26.86  | | | | | | | | | | | | | | | | |   (190)  e3 = e0
% 172.64/26.86  | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | REDUCE: (158), (190) imply:
% 172.64/26.86  | | | | | | | | | | | | | | | | |   (191)  $false
% 172.64/26.86  | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | CLOSE: (191) is inconsistent.
% 172.64/26.86  | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | Case 2:
% 172.64/26.86  | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | |   (192)  all_56_13 = e3
% 172.64/26.86  | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | COMBINE_EQS: (47), (192) imply:
% 172.64/26.86  | | | | | | | | | | | | | | | | |   (193)  all_52_7 = e3
% 172.64/26.86  | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | SIMP: (193) implies:
% 172.64/26.86  | | | | | | | | | | | | | | | | |   (194)  all_52_7 = e3
% 172.64/26.86  | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 172.64/26.86  | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | Case 1:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | |   (195)  all_56_1 = e1
% 172.64/26.86  | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2), (195) imply:
% 172.64/26.86  | | | | | | | | | | | | | | | | | |   (196)  all_52_4 = e1
% 172.64/26.86  | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | SIMP: (196) implies:
% 172.64/26.86  | | | | | | | | | | | | | | | | | |   (197)  all_52_4 = e1
% 172.64/26.86  | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (59), (197) imply:
% 172.64/26.86  | | | | | | | | | | | | | | | | | |   (198)  all_58_20 = e1
% 172.64/26.86  | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | REDUCE: (156), (197) imply:
% 172.64/26.86  | | | | | | | | | | | | | | | | | |   (199)   ~ (e3 = e1)
% 172.64/26.86  | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | SIMP: (199) implies:
% 172.64/26.86  | | | | | | | | | | | | | | | | | |   (200)   ~ (e3 = e1)
% 172.64/26.86  | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | REDUCE: (167), (197) imply:
% 172.64/26.86  | | | | | | | | | | | | | | | | | |   (201)   ~ (e2 = e1)
% 172.64/26.86  | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | SIMP: (201) implies:
% 172.64/26.86  | | | | | | | | | | | | | | | | | |   (202)   ~ (e2 = e1)
% 172.64/26.86  | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | REDUCE: (13), (197) imply:
% 172.64/26.86  | | | | | | | | | | | | | | | | | |   (203)  op(e3, e1) = all_58_1
% 172.64/26.86  | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | BETA: splitting (113) gives:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | |   (204)  all_58_30 = e1
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (27), (204) imply:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | |   (205)  all_52_14 = e1
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | SIMP: (205) implies:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | |   (206)  all_52_14 = e1
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25), (206) imply:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | |   (207)  all_56_11 = e1
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | REDUCE: (77), (206) imply:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | |   (208)   ~ (all_52_2 = e1)
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | BETA: splitting (24) gives:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | |   (209)  all_56_6 = e3
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (65), (155), (209) are inconsistent by sub-proof
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | |            #766.
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | |   (210)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | BETA: splitting (41) gives:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | |   (211)  all_56_0 = e1
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (152), (211) imply:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | |   (212)  e3 = e1
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (31), (44), (61), (81), (82), (154), (200),
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | |            (208), (212) are inconsistent by sub-proof #369.
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | |   (213)   ~ (all_56_0 = e1)
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | |   (214)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | |   (215)  all_56_7 = e3
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (53), (215) imply:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | |   (216)  e3 = e0
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (216) imply:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | |   (217)  $false
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (217) is inconsistent.
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | |   (218)  all_56_8 = e3 | all_56_11 = e3
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | |   (219)  all_56_8 = e3
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18), (219) imply:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | |   (220)  all_10_2 = e3
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (220) implies:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | |   (221)  all_10_2 = e3
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (221) imply:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | |   (222)  op(e3, e1) = e0
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (87) gives:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | |   (223)  all_56_12 = e1
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3), (223) imply:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | |   (224)  all_52_3 = e1
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  all_56_12 = e2
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (202), (223), (225) are inconsistent by sub-proof
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | |            #410.
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)  all_56_13 = e2
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (192), (227) imply:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  e3 = e2
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (228) imply:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)  $false
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (229) is inconsistent.
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)  all_56_14 = e2 | all_56_15 = e2
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)  all_56_14 = e2
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20), (231) imply:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  e2 = e0
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (82), (162), (163), (198), (200), (232) are
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #368.
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  all_56_15 = e2
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (233) imply:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  all_14_2 = e2
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (30), (234) imply:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  all_16_2 = e2
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (49) gives:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (236)   ~ (all_16_2 = e2)
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (235), (236) imply:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (237)  $false
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (237) is inconsistent.
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (75) with e2, all_58_1, e1, e3,
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (182), (203) gives:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (238)  all_58_1 = e2
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (75) with e0, all_58_1, e1, e3,
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (203), (222) gives:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (239)  all_58_1 = e0
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (238), (239) imply:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  e2 = e0
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (82), (162), (163), (198), (200), (240) are
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #368.
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | |   (241)   ~ (all_56_12 = e1)
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (241) imply:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | |   (242)   ~ (all_52_3 = e1)
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (34), (65), (86), (208), (214), (242) are
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #703.
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | |   (243)  all_56_11 = e3
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (207), (243) imply:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | |   (244)  e3 = e1
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (31), (44), (61), (81), (82), (154), (200),
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | |            (208), (244) are inconsistent by sub-proof #369.
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | End of split
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | End of split
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | End of split
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | |   (245)  all_58_28 = e3 | all_58_29 = e2
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (95), (158), (168), (245) are inconsistent
% 172.64/26.86  | | | | | | | | | | | | | | | | | | |            by sub-proof #844.
% 172.64/26.86  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | End of split
% 172.64/26.86  | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | Case 2:
% 172.64/26.86  | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | |   (246)   ~ (all_56_1 = e1)
% 172.64/26.86  | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | REDUCE: (2), (246) imply:
% 172.64/26.86  | | | | | | | | | | | | | | | | | |   (247)   ~ (all_52_4 = e1)
% 172.64/26.86  | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (105), (156), (167), (247) are inconsistent
% 172.64/26.86  | | | | | | | | | | | | | | | | | |            by sub-proof #689.
% 172.64/26.86  | | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | | End of split
% 172.64/26.86  | | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | | End of split
% 172.64/26.86  | | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | | End of split
% 172.64/26.86  | | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | End of split
% 172.64/26.86  | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | Case 2:
% 172.64/26.86  | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | |   (248)  all_56_9 = e2
% 172.64/26.86  | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | | REF_CLOSE: (59), (82), (92), (156), (162), (163), (248) are
% 172.64/26.86  | | | | | | | | | | | | | |            inconsistent by sub-proof #719.
% 172.64/26.86  | | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | | End of split
% 172.64/26.86  | | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | | End of split
% 172.64/26.86  | | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | End of split
% 172.64/26.86  | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | Case 2:
% 172.64/26.86  | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | |   (249)  all_58_20 = e3
% 172.64/26.86  | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | COMBINE_EQS: (59), (249) imply:
% 172.64/26.86  | | | | | | | | | | |   (250)  all_52_4 = e3
% 172.64/26.86  | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | SIMP: (250) implies:
% 172.64/26.86  | | | | | | | | | | |   (251)  all_52_4 = e3
% 172.64/26.86  | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | REDUCE: (156), (251) imply:
% 172.64/26.86  | | | | | | | | | | |   (252)  $false
% 172.64/26.86  | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | | CLOSE: (252) is inconsistent.
% 172.64/26.86  | | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | | End of split
% 172.64/26.86  | | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | End of split
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | Case 2:
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | |   (253)   ~ (all_56_0 = e3)
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | REDUCE: (26), (253) imply:
% 172.64/26.86  | | | | | | | | |   (254)   ~ (all_6_2 = e3)
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | | REF_CLOSE: (7), (23), (44), (46), (61), (71), (72), (73),
% 172.64/26.86  | | | | | | | | |            (76), (82), (108), (123), (151), (254) are
% 172.64/26.86  | | | | | | | | |            inconsistent by sub-proof #806.
% 172.64/26.86  | | | | | | | | | 
% 172.64/26.86  | | | | | | | | End of split
% 172.64/26.86  | | | | | | | | 
% 172.64/26.86  | | | | | | | End of split
% 172.64/26.86  | | | | | | | 
% 172.64/26.86  | | | | | | End of split
% 172.64/26.86  | | | | | | 
% 172.64/26.86  | | | | | End of split
% 172.64/26.86  | | | | | 
% 172.64/26.86  | | | | End of split
% 172.64/26.86  | | | | 
% 172.64/26.86  | | | End of split
% 172.64/26.86  | | | 
% 172.64/26.86  | | End of split
% 172.64/26.86  | | 
% 172.64/26.86  | Case 2:
% 172.64/26.86  | | 
% 172.64/26.86  | |   (255)  all_56_10 = e0 | all_56_11 = e0
% 172.64/26.86  | | 
% 172.64/26.86  | | REF_CLOSE: (25), (52), (80), (83), (255) are inconsistent by sub-proof #414.
% 172.64/26.86  | | 
% 172.64/26.86  | End of split
% 172.64/26.86  | 
% 172.64/26.86  End of proof
% 172.64/26.86  
% 172.64/26.86  Sub-proof #368 shows that the following formulas are inconsistent:
% 172.64/26.86  ----------------------------------------------------------------
% 172.64/26.86    (1)   ~ (e3 = e1)
% 172.64/26.86    (2)  all_58_20 = e1
% 172.64/26.86    (3)  all_58_21 = e2
% 172.64/26.86    (4)  all_58_20 = e3 | all_58_21 = e2
% 172.64/26.86    (5)  e2 = e0
% 172.64/26.86    (6)   ~ (e2 = e0)
% 172.64/26.86  
% 172.64/26.86  Begin of proof
% 172.64/26.86  | 
% 172.64/26.86  | SIMP: (5) implies:
% 172.64/26.86  |   (7)  e2 = e0
% 172.64/26.86  | 
% 172.64/26.86  | COMBINE_EQS: (3), (7) imply:
% 172.64/26.86  |   (8)  all_58_21 = e0
% 172.64/26.86  | 
% 172.64/26.86  | REF_CLOSE: (1), (2), (4), (6), (8) are inconsistent by sub-proof #676.
% 172.64/26.86  | 
% 172.64/26.86  End of proof
% 172.64/26.86  
% 172.64/26.86  Sub-proof #369 shows that the following formulas are inconsistent:
% 172.64/26.86  ----------------------------------------------------------------
% 172.64/26.86    (1)   ~ (e3 = e1)
% 172.64/26.86    (2)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.64/26.86    (3)  all_58_19 = all_52_3
% 172.64/26.86    (4)  all_58_16 = e3
% 172.64/26.86    (5)   ~ (all_52_2 = e1)
% 172.64/26.86    (6)  all_58_18 = all_52_2
% 172.64/26.86    (7)  all_58_17 = e0
% 172.64/26.86    (8)  e3 = e1
% 172.64/26.86    (9)   ~ (all_52_3 = e0)
% 172.64/26.86    (10)   ~ (e2 = e0)
% 172.64/26.86  
% 172.64/26.86  Begin of proof
% 172.64/26.86  | 
% 172.64/26.86  | SIMP: (8) implies:
% 172.64/26.86  |   (11)  e3 = e1
% 172.64/26.86  | 
% 172.64/26.86  | COMBINE_EQS: (4), (11) imply:
% 172.64/26.86  |   (12)  all_58_16 = e1
% 172.64/26.86  | 
% 172.64/26.86  | REF_CLOSE: (1), (2), (3), (5), (6), (7), (9), (10), (12) are inconsistent by
% 172.64/26.86  |            sub-proof #937.
% 172.64/26.86  | 
% 172.64/26.86  End of proof
% 172.64/26.86  
% 172.64/26.86  Sub-proof #370 shows that the following formulas are inconsistent:
% 172.64/26.86  ----------------------------------------------------------------
% 172.64/26.86    (1)   ~ (e3 = e1)
% 172.64/26.86    (2)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.64/26.86    (3)  all_56_15 = all_14_2
% 172.64/26.86    (4)   ~ (all_14_2 = e3)
% 172.64/26.86    (5)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.64/26.86    (6)  all_58_26 = all_10_2
% 172.64/26.86    (7)  all_56_9 = e0
% 172.64/26.86    (8)  all_56_11 = all_52_14
% 172.64/26.86    (9)  all_56_0 = all_6_2
% 172.64/26.86    (10)  all_58_30 = all_52_14
% 172.64/26.86    (11)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 172.64/26.86    (12)   ~ (all_10_2 = e1)
% 172.64/26.86    (13)  all_58_22 = e0
% 172.64/26.86    (14)  all_58_19 = e3
% 172.64/26.86    (15)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.64/26.86    (16)   ~ (all_52_7 = all_14_2)
% 172.64/26.86    (17)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.64/26.86    (18)   ~ (all_52_14 = e1)
% 172.64/26.86    (19)   ~ (all_6_2 = e3)
% 172.64/26.86    (20)  all_58_28 = e0
% 172.64/26.86    (21)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.64/26.86    (22)   ~ (all_6_2 = e1)
% 172.64/26.86    (23)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.64/26.86    (24)  all_58_16 = all_6_2
% 172.64/26.86    (25)   ~ (e3 = e0)
% 172.64/26.86    (26)  all_58_29 = all_52_13
% 172.64/26.86    (27)   ~ (all_52_13 = e0)
% 172.64/26.86    (28)   ~ (all_52_7 = all_4_2)
% 172.64/26.86    (29)  all_54_13 = all_52_7
% 172.64/26.87    (30)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | (all_58_17 = e3 &
% 172.64/26.87            all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) | (all_58_17 = e3 &
% 172.64/26.87            all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) | (all_58_17 = e3 &
% 172.64/26.87            all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) | (all_58_17 = e3 &
% 172.64/26.87            all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) | (all_58_17 = e2 &
% 172.64/26.87            all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) | (all_58_17 = e2 &
% 172.64/26.87            all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) | (all_58_17 = e2 &
% 172.64/26.87            all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) | (all_58_17 = e2 &
% 172.64/26.87            all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) | (all_58_17 = e2 &
% 172.64/26.87            all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 = e0 &
% 172.64/26.87            all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 172.64/26.87            all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 & all_58_24 = e3 &
% 172.64/26.87            all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 172.64/26.87            all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 & all_58_22 = e2 &
% 172.64/26.87            all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 172.64/26.87            all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 & all_58_24 = e1 &
% 172.64/26.87            e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 172.64/26.87            all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 172.64/26.87            all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 172.64/26.87            all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 172.64/26.87            all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.64/26.87          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 & all_58_29 = e0) |
% 172.64/26.87          (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 172.64/26.87          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 172.64/26.87          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.64/26.87          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 = e2 &
% 172.64/26.87            all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) | (all_58_23 = e0 &
% 172.64/26.87            all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) | (all_58_23 = e0 &
% 172.64/26.87            all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 = e0 & e1 =
% 172.64/26.87            e0)
% 172.64/26.87    (31)  all_58_17 = e0
% 172.64/26.87    (32)   ~ (all_52_7 = e3)
% 172.64/26.87    (33)   ~ (all_52_7 = e0)
% 172.64/26.87    (34)  all_58_27 = e0
% 172.64/26.87    (35)  all_54_0 = all_6_2
% 172.64/26.87    (36)  all_58_21 = all_4_2
% 172.64/26.87    (37)  all_56_10 = all_52_13
% 172.64/26.87    (38)   ~ (e1 = e0)
% 172.64/26.87  
% 172.64/26.87  Begin of proof
% 172.64/26.87  | 
% 172.64/26.87  | BETA: splitting (23) gives:
% 172.64/26.87  | 
% 172.64/26.87  | Case 1:
% 172.64/26.87  | | 
% 172.64/26.87  | |   (39)  all_56_0 = e2
% 172.64/26.87  | | 
% 172.64/26.87  | | COMBINE_EQS: (9), (39) imply:
% 172.64/26.87  | |   (40)  all_6_2 = e2
% 172.64/26.87  | | 
% 172.64/26.87  | | SIMP: (40) implies:
% 172.64/26.87  | |   (41)  all_6_2 = e2
% 172.64/26.87  | | 
% 172.64/26.87  | | COMBINE_EQS: (24), (41) imply:
% 172.64/26.87  | |   (42)  all_58_16 = e2
% 172.64/26.87  | | 
% 172.64/26.87  | | REDUCE: (19), (41) imply:
% 172.64/26.87  | |   (43)   ~ (e3 = e2)
% 172.64/26.87  | | 
% 172.64/26.87  | | SIMP: (43) implies:
% 172.64/26.87  | |   (44)   ~ (e3 = e2)
% 172.64/26.87  | | 
% 172.64/26.87  | | BETA: splitting (30) gives:
% 172.64/26.87  | | 
% 172.64/26.87  | | Case 1:
% 172.64/26.87  | | | 
% 172.64/26.87  | | |   (45)  all_58_26 = e1
% 172.64/26.87  | | | 
% 172.64/26.87  | | | REF_CLOSE: (6), (12), (45) are inconsistent by sub-proof #968.
% 172.64/26.87  | | | 
% 172.64/26.87  | | Case 2:
% 172.64/26.87  | | | 
% 172.64/26.87  | | |   (46)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3 & all_58_18 = e1
% 172.64/26.87  | | |           & all_58_20 = e3 & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.64/26.87  | | |           = e0 & all_58_20 = e3 & all_58_28 = e0) | (all_58_17 = e3 &
% 172.64/26.87  | | |           all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) | (all_58_17 =
% 172.64/26.87  | | |           e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/26.87  | | |         (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 =
% 172.64/26.87  | | |           e3) | (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 &
% 172.64/26.87  | | |           all_58_28 = e3) | (all_58_17 = e2 & all_58_20 = e2 & all_58_22 =
% 172.64/26.87  | | |           e1 & all_58_25 = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 172.64/26.87  | | |           all_58_23 = e0 & all_58_29 = e0) | (all_58_17 = e2 & all_58_20 =
% 172.64/26.87  | | |           e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 = e0 & all_58_24 =
% 172.64/26.87  | | |           e3 & all_58_28 = e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 172.64/26.87  | | |           all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 & all_58_24 =
% 172.64/26.87  | | |           e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.64/26.87  | | |           all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 =
% 172.64/26.87  | | |           e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 172.64/26.87  | | |         (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 & all_58_30 =
% 172.64/26.87  | | |           e0) | (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 =
% 172.64/26.87  | | |           e3 & all_58_23 = e0 & all_58_28 = e3 & all_58_29 = e0) |
% 172.64/26.87  | | |         (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 & all_58_30 =
% 172.64/26.87  | | |           e0) | (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 172.64/26.87  | | |           all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 & all_58_28 =
% 172.64/26.87  | | |           e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 & e3 =
% 172.64/26.87  | | |           e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/26.87  | | |           all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 =
% 172.64/26.87  | | |           e1 & all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 &
% 172.64/26.87  | | |           all_58_25 = e1 & all_58_29 = e2) | (all_58_22 = e1 & all_58_25 =
% 172.64/26.87  | | |           e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_22 = e1 &
% 172.64/26.87  | | |           all_58_25 = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 = e0 &
% 172.64/26.87  | | |           all_58_29 = e2 & all_58_30 = e0) | (all_58_23 = e0 & all_58_27 =
% 172.64/26.87  | | |           e1 & all_58_29 = e0 & all_58_30 = e1) | (all_58_23 = e0 &
% 172.64/26.87  | | |           all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 = e0 &
% 172.64/26.87  | | |           e1 = e0)
% 172.64/26.87  | | | 
% 172.64/26.87  | | | BETA: splitting (46) gives:
% 172.64/26.87  | | | 
% 172.64/26.87  | | | Case 1:
% 172.64/26.87  | | | | 
% 172.64/26.87  | | | |   (47)  all_58_21 = e2
% 172.64/26.87  | | | | 
% 172.64/26.87  | | | | COMBINE_EQS: (36), (47) imply:
% 172.64/26.87  | | | |   (48)  all_4_2 = e2
% 172.64/26.87  | | | | 
% 172.64/26.87  | | | | SIMP: (48) implies:
% 172.64/26.87  | | | |   (49)  all_4_2 = e2
% 172.64/26.87  | | | | 
% 172.64/26.87  | | | | REDUCE: (28), (49) imply:
% 172.64/26.87  | | | |   (50)   ~ (all_52_7 = e2)
% 172.64/26.87  | | | | 
% 172.64/26.87  | | | | REF_CLOSE: (3), (5), (7), (8), (10), (11), (16), (18), (20), (21), (25),
% 172.64/26.87  | | | |            (26), (29), (32), (33), (37), (50) are inconsistent by
% 172.64/26.87  | | | |            sub-proof #722.
% 172.64/26.87  | | | | 
% 172.64/26.87  | | | Case 2:
% 172.64/26.87  | | | | 
% 172.64/26.87  | | | |   (51)  all_58_16 = e3 | (all_58_17 = e3 & all_58_18 = e1 & all_58_20 =
% 172.64/26.87  | | | |           e3 & all_58_24 = e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 172.64/26.87  | | | |           all_58_20 = e3 & all_58_28 = e0) | (all_58_17 = e3 & all_58_20
% 172.64/26.87  | | | |           = e3 & all_58_22 = e2 & all_58_25 = e2) | (all_58_17 = e3 &
% 172.64/26.87  | | | |           all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) | (all_58_17
% 172.64/26.87  | | | |           = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/26.87  | | | |         (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 =
% 172.64/26.87  | | | |           e3) | (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 172.64/26.87  | | | |           all_58_25 = e1) | (all_58_17 = e2 & all_58_20 = e2 & all_58_23
% 172.64/26.87  | | | |           = e0 & all_58_29 = e0) | (all_58_17 = e2 & all_58_20 = e2 & e3
% 172.64/26.87  | | | |           = e2) | (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 172.64/26.87  | | | |           all_58_28 = e0) | (all_58_18 = e3 & all_58_22 = e1 & all_58_24
% 172.64/26.87  | | | |           = e3 & all_58_25 = e1) | (all_58_18 = e3 & all_58_24 = e3 &
% 172.64/26.87  | | | |           all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.64/26.87  | | | |           = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.64/26.87  | | | |           all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18
% 172.64/26.87  | | | |           = e1 & all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.64/26.87  | | | |         (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 &
% 172.64/26.87  | | | |           all_58_23 = e0 & all_58_28 = e3 & all_58_29 = e0) | (all_58_19
% 172.64/26.87  | | | |           = e3 & all_58_27 = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.64/26.87  | | | |         (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29 =
% 172.64/26.87  | | | |           e2) | (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 172.64/26.87  | | | |           all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 & e3 = e0)
% 172.64/26.87  | | | |         | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 & all_58_29
% 172.64/26.87  | | | |           = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.64/26.87  | | | |           all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25
% 172.64/26.87  | | | |           = e1 & all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 &
% 172.64/26.87  | | | |           all_58_27 = e0 & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 172.64/26.87  | | | |           = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 = e0 & all_58_29
% 172.64/26.87  | | | |           = e2 & all_58_30 = e0) | (all_58_23 = e0 & all_58_27 = e1 &
% 172.64/26.87  | | | |           all_58_29 = e0 & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 172.64/26.87  | | | |           = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.64/26.87  | | | | 
% 172.64/26.87  | | | | BETA: splitting (5) gives:
% 172.64/26.87  | | | | 
% 172.64/26.87  | | | | Case 1:
% 172.64/26.87  | | | | | 
% 172.64/26.87  | | | | |   (52)  all_58_30 = e1
% 172.64/26.87  | | | | | 
% 172.64/26.87  | | | | | REF_CLOSE: (10), (18), (52) are inconsistent by sub-proof #552.
% 172.64/26.87  | | | | | 
% 172.64/26.87  | | | | Case 2:
% 172.64/26.87  | | | | | 
% 172.64/26.87  | | | | |   (53)  all_58_28 = e3 | all_58_29 = e2
% 172.64/26.87  | | | | | 
% 172.64/26.87  | | | | | BETA: splitting (53) gives:
% 172.64/26.87  | | | | | 
% 172.64/26.87  | | | | | Case 1:
% 172.64/26.87  | | | | | | 
% 172.64/26.87  | | | | | |   (54)  all_58_29 = e2
% 172.64/26.87  | | | | | | 
% 172.64/26.87  | | | | | | COMBINE_EQS: (26), (54) imply:
% 172.64/26.87  | | | | | |   (55)  all_52_13 = e2
% 172.64/26.87  | | | | | | 
% 172.64/26.87  | | | | | | SIMP: (55) implies:
% 172.64/26.87  | | | | | |   (56)  all_52_13 = e2
% 172.64/26.87  | | | | | | 
% 172.64/26.87  | | | | | | COMBINE_EQS: (37), (56) imply:
% 172.64/26.87  | | | | | |   (57)  all_56_10 = e2
% 172.64/26.87  | | | | | | 
% 172.64/26.87  | | | | | | REDUCE: (27), (56) imply:
% 172.64/26.87  | | | | | |   (58)   ~ (e2 = e0)
% 172.64/26.87  | | | | | | 
% 172.64/26.87  | | | | | | BETA: splitting (15) gives:
% 172.64/26.87  | | | | | | 
% 172.64/26.87  | | | | | | Case 1:
% 172.64/26.87  | | | | | | | 
% 172.64/26.87  | | | | | | |   (59)  all_56_9 = e3
% 172.64/26.87  | | | | | | | 
% 172.64/26.87  | | | | | | | COMBINE_EQS: (7), (59) imply:
% 172.64/26.87  | | | | | | |   (60)  e3 = e0
% 172.64/26.87  | | | | | | | 
% 172.64/26.87  | | | | | | | REDUCE: (25), (60) imply:
% 172.64/26.87  | | | | | | |   (61)  $false
% 172.64/26.87  | | | | | | | 
% 172.64/26.87  | | | | | | | CLOSE: (61) is inconsistent.
% 172.64/26.87  | | | | | | | 
% 172.64/26.87  | | | | | | Case 2:
% 172.64/26.87  | | | | | | | 
% 172.64/26.87  | | | | | | |   (62)   ~ (all_56_9 = e3)
% 172.64/26.87  | | | | | | |   (63)  all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.64/26.87  | | | | | | | 
% 172.64/26.87  | | | | | | | REDUCE: (7), (62) imply:
% 172.64/26.87  | | | | | | |   (64)   ~ (e3 = e0)
% 172.64/26.87  | | | | | | | 
% 172.64/26.87  | | | | | | | BETA: splitting (63) gives:
% 172.64/26.87  | | | | | | | 
% 172.64/26.87  | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | 
% 172.64/26.87  | | | | | | | |   (65)  all_56_10 = e3
% 172.64/26.87  | | | | | | | | 
% 172.64/26.87  | | | | | | | | COMBINE_EQS: (57), (65) imply:
% 172.64/26.87  | | | | | | | |   (66)  e3 = e2
% 172.64/26.87  | | | | | | | | 
% 172.64/26.87  | | | | | | | | REDUCE: (44), (66) imply:
% 172.64/26.87  | | | | | | | |   (67)  $false
% 172.64/26.87  | | | | | | | | 
% 172.64/26.87  | | | | | | | | CLOSE: (67) is inconsistent.
% 172.64/26.87  | | | | | | | | 
% 172.64/26.87  | | | | | | | Case 2:
% 172.64/26.87  | | | | | | | | 
% 172.64/26.87  | | | | | | | |   (68)   ~ (all_56_10 = e3)
% 172.64/26.87  | | | | | | | |   (69)  all_56_11 = e3 | all_56_15 = e3
% 172.64/26.87  | | | | | | | | 
% 172.64/26.87  | | | | | | | | BETA: splitting (51) gives:
% 172.64/26.87  | | | | | | | | 
% 172.64/26.87  | | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | | 
% 172.64/26.87  | | | | | | | | |   (70)  all_58_16 = e3
% 172.64/26.87  | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | COMBINE_EQS: (42), (70) imply:
% 172.64/26.87  | | | | | | | | |   (71)  e3 = e2
% 172.64/26.87  | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | REDUCE: (44), (71) imply:
% 172.64/26.87  | | | | | | | | |   (72)  $false
% 172.64/26.87  | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | CLOSE: (72) is inconsistent.
% 172.64/26.87  | | | | | | | | | 
% 172.64/26.87  | | | | | | | | Case 2:
% 172.64/26.87  | | | | | | | | | 
% 172.64/26.87  | | | | | | | | |   (73)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 172.64/26.87  | | | | | | | | |           all_58_24 = e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 172.64/26.87  | | | | | | | | |           all_58_20 = e3 & all_58_28 = e0) | (all_58_17 = e3 &
% 172.64/26.87  | | | | | | | | |           all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/26.87  | | | | | | | | |         (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 172.64/26.87  | | | | | | | | |           all_58_29 = e2) | (all_58_17 = e2 & all_58_18 = e3 &
% 172.64/26.87  | | | | | | | | |           all_58_20 = e2 & all_58_24 = e3) | (all_58_17 = e2 &
% 172.64/26.87  | | | | | | | | |           all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/26.87  | | | | | | | | |         (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 172.64/26.87  | | | | | | | | |           all_58_25 = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 172.64/26.87  | | | | | | | | |           all_58_23 = e0 & all_58_29 = e0) | (all_58_17 = e2 &
% 172.64/26.87  | | | | | | | | |           all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.64/26.87  | | | | | | | | |           all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) |
% 172.64/26.87  | | | | | | | | |         (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 &
% 172.64/26.87  | | | | | | | | |           all_58_25 = e1) | (all_58_18 = e3 & all_58_24 = e3 &
% 172.64/26.87  | | | | | | | | |           all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.64/26.87  | | | | | | | | |           all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.64/26.87  | | | | | | | | |         (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 &
% 172.64/26.87  | | | | | | | | |           all_58_25 = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 172.64/26.87  | | | | | | | | |           all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.64/26.87  | | | | | | | | |           all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 &
% 172.64/26.87  | | | | | | | | |           all_58_23 = e0 & all_58_28 = e3 & all_58_29 = e0) |
% 172.64/26.87  | | | | | | | | |         (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 172.64/26.87  | | | | | | | | |           all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/26.87  | | | | | | | | |           all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 &
% 172.64/26.87  | | | | | | | | |           all_58_27 = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.64/26.87  | | | | | | | | |         (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.64/26.87  | | | | | | | | |         (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/26.87  | | | | | | | | |           all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 &
% 172.64/26.87  | | | | | | | | |           all_58_27 = e1 & all_58_30 = e1) | (all_58_22 = e1 &
% 172.64/26.87  | | | | | | | | |           all_58_23 = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 172.64/26.87  | | | | | | | | |         (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.64/26.87  | | | | | | | | |           all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 &
% 172.64/26.87  | | | | | | | | |           e2 = e1) | (all_58_23 = e2 & all_58_27 = e0 &
% 172.64/26.87  | | | | | | | | |           all_58_29 = e2 & all_58_30 = e0) | (all_58_23 = e0 &
% 172.64/26.87  | | | | | | | | |           all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/26.87  | | | | | | | | |         (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.64/26.87  | | | | | | | | |         (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.64/26.87  | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | BETA: splitting (73) gives:
% 172.64/26.87  | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | |   (74)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 172.64/26.87  | | | | | | | | | |           all_58_24 = e1) | (all_58_17 = e3 & all_58_19 = e0
% 172.64/26.87  | | | | | | | | | |           & all_58_20 = e3 & all_58_28 = e0) | (all_58_17 =
% 172.64/26.87  | | | | | | | | | |           e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 =
% 172.64/26.87  | | | | | | | | | |           e2) | (all_58_17 = e3 & all_58_20 = e3 & all_58_23
% 172.64/26.87  | | | | | | | | | |           = e2 & all_58_29 = e2) | (all_58_17 = e2 &
% 172.64/26.87  | | | | | | | | | |           all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3)
% 172.64/26.87  | | | | | | | | | |         | (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 172.64/26.87  | | | | | | | | | |           & all_58_28 = e3) | (all_58_17 = e2 & all_58_20 =
% 172.64/26.87  | | | | | | | | | |           e2 & all_58_22 = e1 & all_58_25 = e1) | (all_58_17
% 172.64/26.87  | | | | | | | | | |           = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29
% 172.64/26.87  | | | | | | | | | |           = e0) | (all_58_17 = e2 & all_58_20 = e2 & e3 =
% 172.64/26.87  | | | | | | | | | |           e2) | (all_58_18 = e3 & all_58_19 = e0 & all_58_24
% 172.64/26.87  | | | | | | | | | |           = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.64/26.87  | | | | | | | | | |           all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1)
% 172.64/26.87  | | | | | | | | | |         | (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.64/26.87  | | | | | | | | | |           & all_58_30 = e1) | (all_58_18 = e1 & all_58_19 =
% 172.64/26.87  | | | | | | | | | |           e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18
% 172.64/26.87  | | | | | | | | | |           = e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25
% 172.64/26.87  | | | | | | | | | |           = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 172.64/26.87  | | | | | | | | | |           all_58_27 = e0 & all_58_30 = e0)
% 172.64/26.87  | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | BETA: splitting (74) gives:
% 172.64/26.87  | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | |   (75)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.64/26.87  | | | | | | | | | | |           & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.64/26.87  | | | | | | | | | | |           = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/26.87  | | | | | | | | | | |         (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.64/26.87  | | | | | | | | | | |           & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 172.64/26.87  | | | | | | | | | | |           = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/26.87  | | | | | | | | | | |         (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 172.64/26.87  | | | | | | | | | | |           & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 172.64/26.87  | | | | | | | | | | |           = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/26.87  | | | | | | | | | | |         (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 172.64/26.87  | | | | | | | | | | |           & all_58_25 = e1)
% 172.64/26.87  | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | BETA: splitting (75) gives:
% 172.64/26.87  | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | |   (76)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 172.64/26.87  | | | | | | | | | | | |           & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 172.64/26.87  | | | | | | | | | | | |           = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/26.87  | | | | | | | | | | | |         (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 172.64/26.87  | | | | | | | | | | | |           & all_58_25 = e2)
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | BETA: splitting (76) gives:
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | |   (77)  all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 172.64/26.87  | | | | | | | | | | | | |         all_58_24 = e1
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | ALPHA: (77) implies:
% 172.64/26.87  | | | | | | | | | | | | |   (78)  all_58_17 = e3
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | COMBINE_EQS: (31), (78) imply:
% 172.64/26.87  | | | | | | | | | | | | |   (79)  e3 = e0
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | REDUCE: (25), (79) imply:
% 172.64/26.87  | | | | | | | | | | | | |   (80)  $false
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | CLOSE: (80) is inconsistent.
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | Case 2:
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | |   (81)  (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3
% 172.64/26.87  | | | | | | | | | | | | |           & all_58_28 = e0) | (all_58_17 = e3 & all_58_20
% 172.64/26.87  | | | | | | | | | | | | |           = e3 & all_58_22 = e2 & all_58_25 = e2)
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | BETA: splitting (81) gives:
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | |   (82)  all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 172.64/26.87  | | | | | | | | | | | | | |         all_58_28 = e0
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | REF_CLOSE: (14), (25), (82) are inconsistent by sub-proof
% 172.64/26.87  | | | | | | | | | | | | | |            #827.
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | Case 2:
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | |   (83)  all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 &
% 172.64/26.87  | | | | | | | | | | | | | |         all_58_25 = e2
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | ALPHA: (83) implies:
% 172.64/26.87  | | | | | | | | | | | | | |   (84)  all_58_22 = e2
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | COMBINE_EQS: (13), (84) imply:
% 172.64/26.87  | | | | | | | | | | | | | |   (85)  e2 = e0
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | REDUCE: (58), (85) imply:
% 172.64/26.87  | | | | | | | | | | | | | |   (86)  $false
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | CLOSE: (86) is inconsistent.
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | End of split
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | End of split
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | Case 2:
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | |   (87)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 172.64/26.87  | | | | | | | | | | | |           & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 172.64/26.87  | | | | | | | | | | | |           = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/26.87  | | | | | | | | | | | |         (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 172.64/26.87  | | | | | | | | | | | |           & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 172.64/26.87  | | | | | | | | | | | |           = e2 & all_58_22 = e1 & all_58_25 = e1)
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | BETA: splitting (87) gives:
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | |   (88)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 172.64/26.87  | | | | | | | | | | | | |           & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 172.64/26.87  | | | | | | | | | | | | |           = e3 & all_58_20 = e2 & all_58_24 = e3)
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | BETA: splitting (88) gives:
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | |   (89)  all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 172.64/26.87  | | | | | | | | | | | | | |         all_58_29 = e2
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | ALPHA: (89) implies:
% 172.64/26.87  | | | | | | | | | | | | | |   (90)  all_58_17 = e3
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | COMBINE_EQS: (31), (90) imply:
% 172.64/26.87  | | | | | | | | | | | | | |   (91)  e3 = e0
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | REDUCE: (25), (91) imply:
% 172.64/26.87  | | | | | | | | | | | | | |   (92)  $false
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | CLOSE: (92) is inconsistent.
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | Case 2:
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | |   (93)  all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 172.64/26.87  | | | | | | | | | | | | | |         all_58_24 = e3
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | ALPHA: (93) implies:
% 172.64/26.87  | | | | | | | | | | | | | |   (94)  all_58_18 = e3
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (19), (24), (31), (58), (94) are
% 172.64/26.87  | | | | | | | | | | | | | |            inconsistent by sub-proof #461.
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | End of split
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | Case 2:
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | |   (95)  (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 172.64/26.87  | | | | | | | | | | | | |           & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 172.64/26.87  | | | | | | | | | | | | |           = e2 & all_58_22 = e1 & all_58_25 = e1)
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | BETA: splitting (95) gives:
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | |   (96)  all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 &
% 172.64/26.87  | | | | | | | | | | | | | |         all_58_28 = e3
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | REF_CLOSE: (31), (58), (96) are inconsistent by sub-proof
% 172.64/26.87  | | | | | | | | | | | | | |            #824.
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | Case 2:
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | |   (97)  all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 172.64/26.87  | | | | | | | | | | | | | |         all_58_25 = e1
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | ALPHA: (97) implies:
% 172.64/26.87  | | | | | | | | | | | | | |   (98)  all_58_22 = e1
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | COMBINE_EQS: (13), (98) imply:
% 172.64/26.87  | | | | | | | | | | | | | |   (99)  e1 = e0
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | REDUCE: (38), (99) imply:
% 172.64/26.87  | | | | | | | | | | | | | |   (100)  $false
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | CLOSE: (100) is inconsistent.
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | End of split
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | End of split
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | End of split
% 172.64/26.87  | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | Case 2:
% 172.64/26.87  | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | |   (101)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 172.64/26.87  | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 172.64/26.87  | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 172.64/26.87  | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 172.64/26.87  | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 172.64/26.87  | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 172.64/26.87  | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 172.64/26.87  | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 172.64/26.87  | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 172.64/26.87  | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 172.64/26.87  | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 172.64/26.87  | | | | | | | | | | |            & all_58_30 = e0)
% 172.64/26.87  | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | BETA: splitting (101) gives:
% 172.64/26.87  | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | |   (102)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 172.64/26.87  | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 172.64/26.87  | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 172.64/26.87  | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 172.64/26.87  | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 172.64/26.87  | | | | | | | | | | | |            & all_58_25 = e1)
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | BETA: splitting (102) gives:
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | |   (103)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 172.64/26.87  | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 172.64/26.87  | | | | | | | | | | | | |            = e2 & e3 = e2)
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | BETA: splitting (103) gives:
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | |   (104)  all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 172.64/26.87  | | | | | | | | | | | | | |          all_58_29 = e0
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | ALPHA: (104) implies:
% 172.64/26.87  | | | | | | | | | | | | | |   (105)  all_58_29 = e0
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | REF_CLOSE: (54), (58), (105) are inconsistent by sub-proof
% 172.64/26.87  | | | | | | | | | | | | | |            #374.
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | Case 2:
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | |   (106)  all_58_17 = e2 & all_58_20 = e2 & e3 = e2
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | REF_CLOSE: (31), (58), (106) are inconsistent by sub-proof
% 172.64/26.87  | | | | | | | | | | | | | |            #823.
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | End of split
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | Case 2:
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | |   (107)  (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 172.64/26.87  | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 172.64/26.87  | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1)
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | REF_CLOSE: (1), (2), (19), (24), (31), (58), (107) are
% 172.64/26.87  | | | | | | | | | | | | |            inconsistent by sub-proof #373.
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | End of split
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | Case 2:
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | |   (108)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.64/26.87  | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.64/26.87  | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.64/26.87  | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.64/26.87  | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.64/26.87  | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | BETA: splitting (108) gives:
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | |   (109)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 172.64/26.87  | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 172.64/26.87  | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3)
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | BETA: splitting (109) gives:
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | |   (110)  all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 172.64/26.87  | | | | | | | | | | | | | |          all_58_30 = e1
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | ALPHA: (110) implies:
% 172.64/26.87  | | | | | | | | | | | | | |   (111)  all_58_18 = e3
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (19), (24), (31), (58), (111) are
% 172.64/26.87  | | | | | | | | | | | | | |            inconsistent by sub-proof #461.
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | Case 2:
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | |   (112)  all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 172.64/26.87  | | | | | | | | | | | | | |          all_58_28 = e3
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | ALPHA: (112) implies:
% 172.64/26.87  | | | | | | | | | | | | | |   (113)  all_58_28 = e3
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | COMBINE_EQS: (20), (113) imply:
% 172.64/26.87  | | | | | | | | | | | | | |   (114)  e3 = e0
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | REDUCE: (25), (114) imply:
% 172.64/26.87  | | | | | | | | | | | | | |   (115)  $false
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | CLOSE: (115) is inconsistent.
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | End of split
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | Case 2:
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | |   (116)  (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 172.64/26.87  | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 172.64/26.87  | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | BETA: splitting (116) gives:
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | |   (117)  all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 &
% 172.64/26.87  | | | | | | | | | | | | | |          all_58_25 = e2
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | ALPHA: (117) implies:
% 172.64/26.87  | | | | | | | | | | | | | |   (118)  all_58_22 = e2
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | COMBINE_EQS: (13), (118) imply:
% 172.64/26.87  | | | | | | | | | | | | | |   (119)  e2 = e0
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | REDUCE: (58), (119) imply:
% 172.64/26.87  | | | | | | | | | | | | | |   (120)  $false
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | CLOSE: (120) is inconsistent.
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | Case 2:
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | |   (121)  all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 172.64/26.87  | | | | | | | | | | | | | |          all_58_30 = e0
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | ALPHA: (121) implies:
% 172.64/26.87  | | | | | | | | | | | | | |   (122)  all_58_30 = e0
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (8), (10), (25), (69), (122) are
% 172.64/26.87  | | | | | | | | | | | | | |            inconsistent by sub-proof #372.
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | End of split
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | End of split
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | End of split
% 172.64/26.87  | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | End of split
% 172.64/26.87  | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | Case 2:
% 172.64/26.87  | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | |   (123)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.64/26.87  | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 172.64/26.87  | | | | | | | | | |            all_58_29 = e0) | (all_58_19 = e3 & all_58_27 =
% 172.64/26.87  | | | | | | | | | |            e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.64/26.87  | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 172.64/26.87  | | | | | | | | | |            all_58_29 = e2) | (all_58_19 = e0 & all_58_27 =
% 172.64/26.87  | | | | | | | | | |            e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.64/26.87  | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.64/26.87  | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/26.87  | | | | | | | | | |            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 =
% 172.64/26.87  | | | | | | | | | |            e2 & all_58_27 = e1 & all_58_30 = e1) |
% 172.64/26.87  | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.64/26.87  | | | | | | | | | |            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 =
% 172.64/26.87  | | | | | | | | | |            e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.64/26.87  | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.64/26.87  | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 172.64/26.87  | | | | | | | | | |            all_58_30 = e0) | (all_58_23 = e0 & all_58_27 =
% 172.64/26.87  | | | | | | | | | |            e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/26.87  | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.64/26.87  | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.64/26.87  | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | BETA: splitting (123) gives:
% 172.64/26.87  | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | |   (124)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.64/26.87  | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.64/26.87  | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.64/26.87  | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 172.64/26.87  | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.64/26.87  | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.64/26.87  | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.64/26.87  | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.64/26.87  | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.64/26.87  | | | | | | | | | | |            & all_58_29 = e0)
% 172.64/26.87  | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | BETA: splitting (124) gives:
% 172.64/26.87  | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | |   (125)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 172.64/26.87  | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.64/26.87  | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.64/26.87  | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | BETA: splitting (125) gives:
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | |   (126)  all_58_18 = e1 & all_58_24 = e1 & e3 = e1
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | ALPHA: (126) implies:
% 172.64/26.87  | | | | | | | | | | | | |   (127)  e3 = e1
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | REDUCE: (1), (127) imply:
% 172.64/26.87  | | | | | | | | | | | | |   (128)  $false
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | CLOSE: (128) is inconsistent.
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | Case 2:
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | |   (129)  (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 172.64/26.87  | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 172.64/26.87  | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | BETA: splitting (129) gives:
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | |   (130)  all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 172.64/26.87  | | | | | | | | | | | | | |          all_58_29 = e0
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | ALPHA: (130) implies:
% 172.64/26.87  | | | | | | | | | | | | | |   (131)  all_58_29 = e0
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | REF_CLOSE: (54), (58), (131) are inconsistent by sub-proof
% 172.64/26.87  | | | | | | | | | | | | | |            #374.
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | Case 2:
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | |   (132)  all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 172.64/26.87  | | | | | | | | | | | | | |          all_58_30 = e0
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | ALPHA: (132) implies:
% 172.64/26.87  | | | | | | | | | | | | | |   (133)  all_58_30 = e0
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (8), (10), (25), (69), (133) are
% 172.64/26.87  | | | | | | | | | | | | | |            inconsistent by sub-proof #372.
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | End of split
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | End of split
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | Case 2:
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | |   (134)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.64/26.87  | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.64/26.87  | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 172.64/26.87  | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.64/26.87  | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.64/26.87  | | | | | | | | | | | |            & all_58_29 = e0)
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | BETA: splitting (134) gives:
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | |   (135)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 172.64/26.87  | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 172.64/26.87  | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1)
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | BETA: splitting (135) gives:
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | |   (136)  all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 172.64/26.87  | | | | | | | | | | | | | |          all_58_29 = e2
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | ALPHA: (136) implies:
% 172.64/26.87  | | | | | | | | | | | | | |   (137)  all_58_19 = e0
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | COMBINE_EQS: (14), (137) imply:
% 172.64/26.87  | | | | | | | | | | | | | |   (138)  e3 = e0
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | REDUCE: (25), (138) imply:
% 172.64/26.87  | | | | | | | | | | | | | |   (139)  $false
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | CLOSE: (139) is inconsistent.
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | Case 2:
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | |   (140)  all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 172.64/26.87  | | | | | | | | | | | | | |          all_58_30 = e1
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | ALPHA: (140) implies:
% 172.64/26.87  | | | | | | | | | | | | | |   (141)  all_58_30 = e1
% 172.64/26.87  | | | | | | | | | | | | | |   (142)  all_58_27 = e1
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (8), (10), (25), (34), (69), (141),
% 172.64/26.87  | | | | | | | | | | | | | |            (142) are inconsistent by sub-proof #371.
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | End of split
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | Case 2:
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | |   (143)  (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 172.64/26.87  | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 172.64/26.87  | | | | | | | | | | | | |            & all_58_29 = e0)
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | BETA: splitting (143) gives:
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | |   (144)  all_58_19 = e0 & all_58_28 = e0 & e3 = e0
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | REF_CLOSE: (14), (25), (144) are inconsistent by sub-proof
% 172.64/26.87  | | | | | | | | | | | | | |            #818.
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | Case 2:
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | |   (145)  all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/26.87  | | | | | | | | | | | | | |          all_58_29 = e0
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | ALPHA: (145) implies:
% 172.64/26.87  | | | | | | | | | | | | | |   (146)  all_58_29 = e0
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | REF_CLOSE: (54), (58), (146) are inconsistent by sub-proof
% 172.64/26.87  | | | | | | | | | | | | | |            #374.
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | End of split
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | End of split
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | End of split
% 172.64/26.87  | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | Case 2:
% 172.64/26.87  | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | |   (147)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 172.64/26.87  | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 172.64/26.87  | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 172.64/26.87  | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 172.64/26.87  | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 172.64/26.87  | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 172.64/26.87  | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.64/26.87  | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 172.64/26.87  | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 172.64/26.87  | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 172.64/26.87  | | | | | | | | | | |            e0 & e1 = e0)
% 172.64/26.87  | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | BETA: splitting (147) gives:
% 172.64/26.87  | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | |   (148)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 172.64/26.87  | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 172.64/26.87  | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 172.64/26.87  | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 172.64/26.87  | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 172.64/26.87  | | | | | | | | | | | |            = e1 & e2 = e1)
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | BETA: splitting (148) gives:
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | |   (149)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 172.64/26.87  | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 172.64/26.87  | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2)
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | BETA: splitting (149) gives:
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | |   (150)  all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.64/26.87  | | | | | | | | | | | | | |          all_58_30 = e1
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | ALPHA: (150) implies:
% 172.64/26.87  | | | | | | | | | | | | | |   (151)  all_58_30 = e1
% 172.64/26.87  | | | | | | | | | | | | | |   (152)  all_58_27 = e1
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (8), (10), (25), (34), (69), (151),
% 172.64/26.87  | | | | | | | | | | | | | |            (152) are inconsistent by sub-proof #371.
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | Case 2:
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | |   (153)  all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.64/26.87  | | | | | | | | | | | | | |          all_58_29 = e2
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | ALPHA: (153) implies:
% 172.64/26.87  | | | | | | | | | | | | | |   (154)  all_58_22 = e1
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | COMBINE_EQS: (13), (154) imply:
% 172.64/26.87  | | | | | | | | | | | | | |   (155)  e1 = e0
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | REDUCE: (38), (155) imply:
% 172.64/26.87  | | | | | | | | | | | | | |   (156)  $false
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | CLOSE: (156) is inconsistent.
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | End of split
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | Case 2:
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | |   (157)  (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 172.64/26.87  | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 172.64/26.87  | | | | | | | | | | | | |            = e1 & e2 = e1)
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | BETA: splitting (157) gives:
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | |   (158)  all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.64/26.87  | | | | | | | | | | | | | |          all_58_30 = e0
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | ALPHA: (158) implies:
% 172.64/26.87  | | | | | | | | | | | | | |   (159)  all_58_30 = e0
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (8), (10), (25), (69), (159) are
% 172.64/26.87  | | | | | | | | | | | | | |            inconsistent by sub-proof #372.
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | Case 2:
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | |   (160)  all_58_22 = e1 & all_58_25 = e1 & e2 = e1
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | ALPHA: (160) implies:
% 172.64/26.87  | | | | | | | | | | | | | |   (161)  all_58_22 = e1
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | COMBINE_EQS: (13), (161) imply:
% 172.64/26.87  | | | | | | | | | | | | | |   (162)  e1 = e0
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | REDUCE: (38), (162) imply:
% 172.64/26.87  | | | | | | | | | | | | | |   (163)  $false
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | CLOSE: (163) is inconsistent.
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | End of split
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | End of split
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | Case 2:
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | |   (164)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.64/26.87  | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.64/26.87  | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/26.87  | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.64/26.87  | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | BETA: splitting (164) gives:
% 172.64/26.87  | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | |   (165)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 172.64/26.87  | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 172.64/26.87  | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1)
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | BETA: splitting (165) gives:
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | |   (166)  all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 172.64/26.87  | | | | | | | | | | | | | |          all_58_30 = e0
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | ALPHA: (166) implies:
% 172.64/26.87  | | | | | | | | | | | | | |   (167)  all_58_30 = e0
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (8), (10), (25), (69), (167) are
% 172.64/26.87  | | | | | | | | | | | | | |            inconsistent by sub-proof #372.
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | Case 2:
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | |   (168)  all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 172.64/26.87  | | | | | | | | | | | | | |          all_58_30 = e1
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | ALPHA: (168) implies:
% 172.64/26.87  | | | | | | | | | | | | | |   (169)  all_58_30 = e1
% 172.64/26.87  | | | | | | | | | | | | | |   (170)  all_58_27 = e1
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (8), (10), (25), (34), (69), (169),
% 172.64/26.87  | | | | | | | | | | | | | |            (170) are inconsistent by sub-proof #371.
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | End of split
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | Case 2:
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | |   (171)  (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 172.64/26.87  | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | BETA: splitting (171) gives:
% 172.64/26.87  | | | | | | | | | | | | | 
% 172.64/26.87  | | | | | | | | | | | | | Case 1:
% 172.64/26.87  | | | | | | | | | | | | | | 
% 172.64/26.88  | | | | | | | | | | | | | |   (172)  all_58_23 = e0 & all_58_29 = e0 & e2 = e0
% 172.64/26.88  | | | | | | | | | | | | | | 
% 172.64/26.88  | | | | | | | | | | | | | | ALPHA: (172) implies:
% 172.64/26.88  | | | | | | | | | | | | | |   (173)  all_58_29 = e0
% 172.64/26.88  | | | | | | | | | | | | | | 
% 172.64/26.88  | | | | | | | | | | | | | | REF_CLOSE: (54), (58), (173) are inconsistent by sub-proof
% 172.64/26.88  | | | | | | | | | | | | | |            #374.
% 172.64/26.88  | | | | | | | | | | | | | | 
% 172.64/26.88  | | | | | | | | | | | | | Case 2:
% 172.64/26.88  | | | | | | | | | | | | | | 
% 172.64/26.88  | | | | | | | | | | | | | |   (174)  all_58_27 = e0 & all_58_30 = e0 & e1 = e0
% 172.64/26.88  | | | | | | | | | | | | | | 
% 172.64/26.88  | | | | | | | | | | | | | | ALPHA: (174) implies:
% 172.64/26.88  | | | | | | | | | | | | | |   (175)  all_58_30 = e0
% 172.64/26.88  | | | | | | | | | | | | | | 
% 172.64/26.88  | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (8), (10), (25), (69), (175) are
% 172.64/26.88  | | | | | | | | | | | | | |            inconsistent by sub-proof #372.
% 172.64/26.88  | | | | | | | | | | | | | | 
% 172.64/26.88  | | | | | | | | | | | | | End of split
% 172.64/26.88  | | | | | | | | | | | | | 
% 172.64/26.88  | | | | | | | | | | | | End of split
% 172.64/26.88  | | | | | | | | | | | | 
% 172.64/26.88  | | | | | | | | | | | End of split
% 172.64/26.88  | | | | | | | | | | | 
% 172.64/26.88  | | | | | | | | | | End of split
% 172.64/26.88  | | | | | | | | | | 
% 172.64/26.88  | | | | | | | | | End of split
% 172.64/26.88  | | | | | | | | | 
% 172.64/26.88  | | | | | | | | End of split
% 172.64/26.88  | | | | | | | | 
% 172.64/26.88  | | | | | | | End of split
% 172.64/26.88  | | | | | | | 
% 172.64/26.88  | | | | | | End of split
% 172.64/26.88  | | | | | | 
% 172.64/26.88  | | | | | Case 2:
% 172.64/26.88  | | | | | | 
% 172.64/26.88  | | | | | |   (176)  all_58_28 = e3
% 172.64/26.88  | | | | | | 
% 172.64/26.88  | | | | | | COMBINE_EQS: (20), (176) imply:
% 172.64/26.88  | | | | | |   (177)  e3 = e0
% 172.64/26.88  | | | | | | 
% 172.64/26.88  | | | | | | REDUCE: (25), (177) imply:
% 172.64/26.88  | | | | | |   (178)  $false
% 172.64/26.88  | | | | | | 
% 172.64/26.88  | | | | | | CLOSE: (178) is inconsistent.
% 172.64/26.88  | | | | | | 
% 172.64/26.88  | | | | | End of split
% 172.64/26.88  | | | | | 
% 172.64/26.88  | | | | End of split
% 172.64/26.88  | | | | 
% 172.64/26.88  | | | End of split
% 172.64/26.88  | | | 
% 172.64/26.88  | | End of split
% 172.64/26.88  | | 
% 172.64/26.88  | Case 2:
% 172.64/26.88  | | 
% 172.64/26.88  | |   (179)   ~ (all_56_0 = e2)
% 172.64/26.88  | | 
% 172.64/26.88  | | REDUCE: (9), (179) imply:
% 172.64/26.88  | |   (180)   ~ (all_6_2 = e2)
% 172.64/26.88  | | 
% 172.64/26.88  | | REF_CLOSE: (17), (19), (22), (35), (180) are inconsistent by sub-proof #848.
% 172.64/26.88  | | 
% 172.64/26.88  | End of split
% 172.64/26.88  | 
% 172.64/26.88  End of proof
% 172.64/26.88  
% 172.64/26.88  Sub-proof #371 shows that the following formulas are inconsistent:
% 172.64/26.88  ----------------------------------------------------------------
% 172.64/26.88    (1)  all_56_15 = all_14_2
% 172.64/26.88    (2)   ~ (all_14_2 = e3)
% 172.64/26.88    (3)  all_56_11 = all_52_14
% 172.64/26.88    (4)  all_58_30 = all_52_14
% 172.64/26.88    (5)  all_58_27 = e1
% 172.64/26.88    (6)  all_58_30 = e1
% 172.64/26.88    (7)   ~ (e3 = e0)
% 172.64/26.88    (8)  all_58_27 = e0
% 172.64/26.88    (9)  all_56_11 = e3 | all_56_15 = e3
% 172.64/26.88  
% 172.64/26.88  Begin of proof
% 172.64/26.88  | 
% 172.64/26.88  | COMBINE_EQS: (5), (8) imply:
% 172.64/26.88  |   (10)  e1 = e0
% 172.64/26.88  | 
% 172.64/26.88  | SIMP: (10) implies:
% 172.64/26.88  |   (11)  e1 = e0
% 172.64/26.88  | 
% 172.64/26.88  | COMBINE_EQS: (4), (6) imply:
% 172.64/26.88  |   (12)  all_52_14 = e1
% 172.64/26.88  | 
% 172.64/26.88  | SIMP: (12) implies:
% 172.64/26.88  |   (13)  all_52_14 = e1
% 172.64/26.88  | 
% 172.64/26.88  | COMBINE_EQS: (11), (13) imply:
% 172.64/26.88  |   (14)  all_52_14 = e0
% 172.64/26.88  | 
% 172.64/26.88  | COMBINE_EQS: (3), (14) imply:
% 172.64/26.88  |   (15)  all_56_11 = e0
% 172.64/26.88  | 
% 172.64/26.88  | REF_CLOSE: (1), (2), (7), (9), (15) are inconsistent by sub-proof #534.
% 172.64/26.88  | 
% 172.64/26.88  End of proof
% 172.64/26.88  
% 172.64/26.88  Sub-proof #372 shows that the following formulas are inconsistent:
% 172.64/26.88  ----------------------------------------------------------------
% 172.64/26.88    (1)  all_56_15 = all_14_2
% 172.64/26.88    (2)   ~ (all_14_2 = e3)
% 172.64/26.88    (3)  all_58_30 = e0
% 172.64/26.88    (4)  all_56_11 = all_52_14
% 172.64/26.88    (5)  all_58_30 = all_52_14
% 172.64/26.88    (6)   ~ (e3 = e0)
% 172.64/26.88    (7)  all_56_11 = e3 | all_56_15 = e3
% 172.64/26.88  
% 172.64/26.88  Begin of proof
% 172.64/26.88  | 
% 172.64/26.88  | COMBINE_EQS: (3), (5) imply:
% 172.64/26.88  |   (8)  all_52_14 = e0
% 172.64/26.88  | 
% 172.64/26.88  | SIMP: (8) implies:
% 172.64/26.88  |   (9)  all_52_14 = e0
% 172.64/26.88  | 
% 172.64/26.88  | COMBINE_EQS: (4), (9) imply:
% 172.64/26.88  |   (10)  all_56_11 = e0
% 172.64/26.88  | 
% 172.64/26.88  | REF_CLOSE: (1), (2), (6), (7), (10) are inconsistent by sub-proof #534.
% 172.64/26.88  | 
% 172.64/26.88  End of proof
% 172.64/26.88  
% 172.64/26.88  Sub-proof #373 shows that the following formulas are inconsistent:
% 172.64/26.88  ----------------------------------------------------------------
% 172.64/26.88    (1)   ~ (e3 = e1)
% 172.64/26.88    (2)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.64/26.88    (3)  (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) |
% 172.64/26.88         (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1)
% 172.64/26.88    (4)   ~ (all_6_2 = e3)
% 172.64/26.88    (5)  all_58_16 = all_6_2
% 172.64/26.88    (6)  all_58_17 = e0
% 172.64/26.88    (7)   ~ (e2 = e0)
% 172.64/26.88  
% 172.64/26.88  Begin of proof
% 172.64/26.88  | 
% 172.64/26.88  | BETA: splitting (3) gives:
% 172.64/26.88  | 
% 172.64/26.88  | Case 1:
% 172.64/26.88  | | 
% 172.64/26.88  | |   (8)  all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0
% 172.64/26.88  | | 
% 172.64/26.88  | | ALPHA: (8) implies:
% 172.64/26.88  | |   (9)  all_58_18 = e3
% 172.64/26.88  | | 
% 172.64/26.88  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (9) are inconsistent by sub-proof
% 172.64/26.88  | |            #461.
% 172.64/26.88  | | 
% 172.64/26.88  | Case 2:
% 172.64/26.88  | | 
% 172.64/26.88  | |   (10)  all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1
% 172.64/26.88  | | 
% 172.64/26.88  | | ALPHA: (10) implies:
% 172.64/26.88  | |   (11)  all_58_18 = e3
% 172.64/26.88  | | 
% 172.64/26.88  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (11) are inconsistent by sub-proof
% 172.64/26.88  | |            #461.
% 172.64/26.88  | | 
% 172.64/26.88  | End of split
% 172.64/26.88  | 
% 172.64/26.88  End of proof
% 172.64/26.88  
% 172.64/26.88  Sub-proof #374 shows that the following formulas are inconsistent:
% 172.64/26.88  ----------------------------------------------------------------
% 172.64/26.88    (1)  all_58_29 = e2
% 172.64/26.88    (2)  all_58_29 = e0
% 172.64/26.88    (3)   ~ (e2 = e0)
% 172.64/26.88  
% 172.64/26.88  Begin of proof
% 172.64/26.88  | 
% 172.64/26.88  | COMBINE_EQS: (1), (2) imply:
% 172.64/26.88  |   (4)  e2 = e0
% 172.64/26.88  | 
% 172.64/26.88  | SIMP: (4) implies:
% 172.64/26.88  |   (5)  e2 = e0
% 172.64/26.88  | 
% 172.64/26.88  | REDUCE: (3), (5) imply:
% 172.64/26.88  |   (6)  $false
% 172.64/26.88  | 
% 172.64/26.88  | CLOSE: (6) is inconsistent.
% 172.64/26.88  | 
% 172.64/26.88  End of proof
% 172.64/26.88  
% 172.64/26.88  Sub-proof #375 shows that the following formulas are inconsistent:
% 172.64/26.88  ----------------------------------------------------------------
% 172.64/26.88    (1)  all_56_12 = all_52_3
% 172.64/26.88    (2)   ~ (all_10_2 = e0)
% 172.64/26.88    (3)   ~ (e3 = e1)
% 172.64/26.88    (4)   ~ (all_52_2 = all_6_2)
% 172.64/26.88    (5)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.64/26.88    (6)  all_56_5 = all_52_9
% 172.64/26.88    (7)   ~ (all_52_12 = all_6_2)
% 172.64/26.88    (8)   ~ (all_14_2 = e0)
% 172.64/26.88    (9)  op(e1, all_10_2) = all_58_10
% 172.64/26.88    (10)   ~ (all_52_9 = all_4_2)
% 172.64/26.88    (11)  op(e1, e1) = all_10_2
% 172.64/26.88    (12)  all_56_14 = all_52_11
% 172.64/26.88    (13)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.64/26.88    (14)  all_56_8 = all_10_2
% 172.64/26.88    (15)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.64/26.88    (16)  all_58_30 = e0
% 172.64/26.88    (17)   ~ (all_52_9 = e0)
% 172.64/26.88    (18)  all_58_26 = all_10_2
% 172.64/26.88    (19)  all_58_31 = all_14_2
% 172.64/26.88    (20)   ~ (all_52_11 = all_10_2)
% 172.64/26.88    (21)   ~ (all_52_9 = all_52_13)
% 172.64/26.88    (22)   ~ (all_52_3 = all_6_2)
% 172.64/26.88    (23)  all_56_0 = all_6_2
% 172.64/26.88    (24)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.64/26.88    (25)  all_58_27 = all_52_11
% 172.64/26.88    (26)  all_58_19 = all_52_3
% 172.64/26.88    (27)  all_56_2 = e0
% 172.64/26.88    (28)  all_56_4 = e0
% 172.64/26.88    (29)   ~ (e3 = e2)
% 172.64/26.88    (30)   ~ (e2 = e1)
% 172.64/26.88    (31)   ~ (all_52_2 = e0)
% 172.64/26.88    (32)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.64/26.88    (33)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.64/26.88    (34)  all_58_18 = all_52_2
% 172.64/26.88    (35)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.64/26.88    (36)  all_58_16 = all_6_2
% 172.64/26.88    (37)   ~ (e3 = e0)
% 172.64/26.88    (38)  all_58_29 = all_52_13
% 172.64/26.88    (39)   ~ (all_52_13 = e0)
% 172.64/26.88    (40)   ~ (all_6_2 = e0)
% 172.64/26.88    (41)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.64/26.88    (42)  all_58_17 = e0
% 172.64/26.88    (43)  op(all_10_2, e1) = e0
% 172.64/26.88    (44)  all_56_6 = all_52_2
% 172.64/26.88    (45)   ~ (all_52_9 = all_52_11)
% 172.64/26.88    (46)  all_54_0 = all_6_2
% 172.64/26.88    (47)  all_58_24 = e0
% 172.64/26.88    (48)   ~ (all_52_11 = e0)
% 172.64/26.88    (49)  all_58_25 = all_52_9
% 172.64/26.88    (50)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/26.88            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/26.88    (51)  all_58_21 = all_4_2
% 172.64/26.88    (52)   ~ (all_52_3 = e0)
% 172.64/26.88    (53)   ~ (e2 = e0)
% 172.64/26.88    (54)  all_58_28 = all_52_12
% 172.64/26.88    (55)   ~ (e1 = e0)
% 172.64/26.88    (56)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.64/26.88          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.64/26.88          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/26.88          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/26.88          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/26.88          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/26.88          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/26.88          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.64/26.88          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.64/26.88          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.64/26.88            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.64/26.88            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.64/26.88            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.64/26.88            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.64/26.88            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.64/26.88            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.64/26.88            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.64/26.88            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.64/26.88            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/26.88            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.64/26.88            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.64/26.88            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/26.88            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.64/26.88            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.64/26.88            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.64/26.88            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.64/26.88          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.64/26.88          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/26.88          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.64/26.88            all_58_30 = e0 & e1 = e0)
% 172.64/26.88    (57)  all_58_23 = e0
% 172.64/26.88    (58)   ~ (all_52_2 = all_10_2)
% 172.64/26.88  
% 172.64/26.88  Begin of proof
% 172.64/26.88  | 
% 172.64/26.88  | BETA: splitting (15) gives:
% 172.64/26.88  | 
% 172.64/26.88  | Case 1:
% 172.64/26.88  | | 
% 172.64/26.88  | |   (59)  all_58_31 = e0
% 172.64/26.88  | | 
% 172.64/26.88  | | COMBINE_EQS: (19), (59) imply:
% 172.64/26.88  | |   (60)  all_14_2 = e0
% 172.64/26.88  | | 
% 172.64/26.88  | | REDUCE: (8), (60) imply:
% 172.64/26.88  | |   (61)  $false
% 172.64/26.88  | | 
% 172.64/26.88  | | CLOSE: (61) is inconsistent.
% 172.64/26.88  | | 
% 172.64/26.88  | Case 2:
% 172.64/26.88  | | 
% 172.64/26.88  | |   (62)   ~ (all_58_31 = e0)
% 172.64/26.88  | |   (63)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.64/26.88  | | 
% 172.64/26.88  | | BETA: splitting (5) gives:
% 172.64/26.88  | | 
% 172.64/26.88  | | Case 1:
% 172.64/26.88  | | | 
% 172.64/26.88  | | |   (64)  all_58_19 = e0
% 172.64/26.88  | | | 
% 172.64/26.88  | | | COMBINE_EQS: (26), (64) imply:
% 172.64/26.88  | | |   (65)  all_52_3 = e0
% 172.64/26.88  | | | 
% 172.64/26.88  | | | REDUCE: (52), (65) imply:
% 172.64/26.88  | | |   (66)  $false
% 172.64/26.88  | | | 
% 172.64/26.88  | | | CLOSE: (66) is inconsistent.
% 172.64/26.88  | | | 
% 172.64/26.88  | | Case 2:
% 172.64/26.88  | | | 
% 172.64/26.88  | | |   (67)   ~ (all_58_19 = e0)
% 172.64/26.88  | | |   (68)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.64/26.88  | | | 
% 172.64/26.88  | | | BETA: splitting (24) gives:
% 172.64/26.88  | | | 
% 172.64/26.88  | | | Case 1:
% 172.64/26.88  | | | | 
% 172.64/26.88  | | | |   (69)  all_58_27 = e0
% 172.64/26.88  | | | | 
% 172.64/26.88  | | | | COMBINE_EQS: (25), (69) imply:
% 172.64/26.88  | | | |   (70)  all_52_11 = e0
% 172.64/26.88  | | | | 
% 172.64/26.88  | | | | REDUCE: (48), (70) imply:
% 172.64/26.88  | | | |   (71)  $false
% 172.64/26.88  | | | | 
% 172.64/26.88  | | | | CLOSE: (71) is inconsistent.
% 172.64/26.88  | | | | 
% 172.64/26.88  | | | Case 2:
% 172.64/26.88  | | | | 
% 172.64/26.88  | | | |   (72)   ~ (all_58_27 = e0)
% 172.64/26.88  | | | |   (73)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.64/26.88  | | | | 
% 172.64/26.88  | | | | BETA: splitting (35) gives:
% 172.64/26.88  | | | | 
% 172.64/26.88  | | | | Case 1:
% 172.64/26.88  | | | | | 
% 172.64/26.88  | | | | |   (74)  all_56_0 = e2
% 172.64/26.88  | | | | | 
% 172.64/26.88  | | | | | REF_CLOSE: (1), (3), (4), (6), (8), (10), (12), (13), (14), (16),
% 172.64/26.88  | | | | |            (17), (18), (19), (20), (22), (23), (25), (26), (27), (28),
% 172.64/26.88  | | | | |            (29), (31), (34), (36), (37), (38), (39), (40), (41), (42),
% 172.64/26.88  | | | | |            (44), (45), (47), (48), (49), (51), (52), (56), (57), (58),
% 172.64/26.88  | | | | |            (68), (73), (74) are inconsistent by sub-proof #413.
% 172.64/26.88  | | | | | 
% 172.64/26.88  | | | | Case 2:
% 172.64/26.88  | | | | | 
% 172.64/26.88  | | | | |   (75)   ~ (all_56_0 = e2)
% 172.64/26.88  | | | | |   (76)  all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.64/26.88  | | | | | 
% 172.64/26.88  | | | | | REDUCE: (23), (75) imply:
% 172.64/26.88  | | | | |   (77)   ~ (all_6_2 = e2)
% 172.64/26.88  | | | | | 
% 172.64/26.88  | | | | | BETA: splitting (76) gives:
% 172.64/26.88  | | | | | 
% 172.64/26.88  | | | | | Case 1:
% 172.64/26.88  | | | | | | 
% 172.64/26.88  | | | | | |   (78)  all_56_2 = e2
% 172.64/26.88  | | | | | | 
% 172.64/26.88  | | | | | | REF_CLOSE: (27), (53), (78) are inconsistent by sub-proof #443.
% 172.64/26.88  | | | | | | 
% 172.64/26.88  | | | | | Case 2:
% 172.64/26.88  | | | | | | 
% 172.64/26.88  | | | | | |   (79)   ~ (all_56_2 = e2)
% 172.64/26.88  | | | | | |   (80)  all_56_6 = e2 | all_56_12 = e2
% 172.64/26.88  | | | | | | 
% 172.64/26.88  | | | | | | REDUCE: (27), (79) imply:
% 172.64/26.88  | | | | | |   (81)   ~ (e2 = e0)
% 172.64/26.88  | | | | | | 
% 172.64/26.88  | | | | | | BETA: splitting (80) gives:
% 172.64/26.88  | | | | | | 
% 172.64/26.88  | | | | | | Case 1:
% 172.64/26.88  | | | | | | | 
% 172.64/26.88  | | | | | | |   (82)  all_56_6 = e2
% 172.64/26.88  | | | | | | | 
% 172.64/26.88  | | | | | | | COMBINE_EQS: (44), (82) imply:
% 172.64/26.88  | | | | | | |   (83)  all_52_2 = e2
% 172.64/26.88  | | | | | | | 
% 172.64/26.88  | | | | | | | COMBINE_EQS: (34), (83) imply:
% 172.64/26.88  | | | | | | |   (84)  all_58_18 = e2
% 172.64/26.88  | | | | | | | 
% 172.64/26.88  | | | | | | | BETA: splitting (68) gives:
% 172.64/26.88  | | | | | | | 
% 172.64/26.88  | | | | | | | Case 1:
% 172.64/26.88  | | | | | | | | 
% 172.64/26.88  | | | | | | | |   (85)  all_58_18 = e1
% 172.64/26.88  | | | | | | | | 
% 172.64/26.88  | | | | | | | | REF_CLOSE: (30), (84), (85) are inconsistent by sub-proof #610.
% 172.64/26.88  | | | | | | | | 
% 172.64/26.88  | | | | | | | Case 2:
% 172.64/26.88  | | | | | | | | 
% 172.64/26.88  | | | | | | | |   (86)  all_58_16 = e3 | all_58_17 = e2
% 172.64/26.88  | | | | | | | | 
% 172.64/26.88  | | | | | | | | BETA: splitting (86) gives:
% 172.64/26.88  | | | | | | | | 
% 172.64/26.88  | | | | | | | | Case 1:
% 172.64/26.88  | | | | | | | | | 
% 172.64/26.88  | | | | | | | | |   (87)  all_58_17 = e2
% 172.64/26.88  | | | | | | | | | 
% 172.64/26.88  | | | | | | | | | COMBINE_EQS: (42), (87) imply:
% 172.64/26.88  | | | | | | | | |   (88)  e2 = e0
% 172.64/26.88  | | | | | | | | | 
% 172.64/26.88  | | | | | | | | | REDUCE: (53), (88) imply:
% 172.64/26.88  | | | | | | | | |   (89)  $false
% 172.64/26.88  | | | | | | | | | 
% 172.64/26.88  | | | | | | | | | CLOSE: (89) is inconsistent.
% 172.64/26.88  | | | | | | | | | 
% 172.64/26.88  | | | | | | | | Case 2:
% 172.64/26.88  | | | | | | | | | 
% 172.64/26.88  | | | | | | | | |   (90)  all_58_16 = e3
% 172.64/26.88  | | | | | | | | | 
% 172.64/26.88  | | | | | | | | | COMBINE_EQS: (36), (90) imply:
% 172.64/26.88  | | | | | | | | |   (91)  all_6_2 = e3
% 172.64/26.88  | | | | | | | | | 
% 172.64/26.88  | | | | | | | | | SIMP: (91) implies:
% 172.64/26.88  | | | | | | | | |   (92)  all_6_2 = e3
% 172.64/26.88  | | | | | | | | | 
% 172.64/26.88  | | | | | | | | | REDUCE: (7), (92) imply:
% 172.64/26.88  | | | | | | | | |   (93)   ~ (all_52_12 = e3)
% 172.64/26.88  | | | | | | | | | 
% 172.64/26.88  | | | | | | | | | BETA: splitting (63) gives:
% 172.64/26.88  | | | | | | | | | 
% 172.64/26.88  | | | | | | | | | Case 1:
% 172.64/26.88  | | | | | | | | | | 
% 172.64/26.88  | | | | | | | | | |   (94)  all_58_30 = e1
% 172.64/26.88  | | | | | | | | | | 
% 172.64/26.88  | | | | | | | | | | COMBINE_EQS: (16), (94) imply:
% 172.64/26.88  | | | | | | | | | |   (95)  e1 = e0
% 172.64/26.88  | | | | | | | | | | 
% 172.64/26.88  | | | | | | | | | | REDUCE: (55), (95) imply:
% 172.64/26.88  | | | | | | | | | |   (96)  $false
% 172.64/26.88  | | | | | | | | | | 
% 172.64/26.88  | | | | | | | | | | CLOSE: (96) is inconsistent.
% 172.64/26.88  | | | | | | | | | | 
% 172.64/26.88  | | | | | | | | | Case 2:
% 172.64/26.88  | | | | | | | | | | 
% 172.64/26.88  | | | | | | | | | |   (97)  all_58_28 = e3 | all_58_29 = e2
% 172.64/26.88  | | | | | | | | | | 
% 172.64/26.88  | | | | | | | | | | REF_CLOSE: (2), (9), (11), (18), (21), (37), (38), (43),
% 172.64/26.88  | | | | | | | | | |            (47), (49), (50), (54), (73), (93), (97) are
% 172.64/26.88  | | | | | | | | | |            inconsistent by sub-proof #376.
% 172.64/26.88  | | | | | | | | | | 
% 172.64/26.88  | | | | | | | | | End of split
% 172.64/26.88  | | | | | | | | | 
% 172.64/26.88  | | | | | | | | End of split
% 172.64/26.88  | | | | | | | | 
% 172.64/26.88  | | | | | | | End of split
% 172.64/26.88  | | | | | | | 
% 172.64/26.88  | | | | | | Case 2:
% 172.64/26.88  | | | | | | | 
% 172.64/26.88  | | | | | | |   (98)  all_56_12 = e2
% 172.64/26.88  | | | | | | | 
% 172.64/26.88  | | | | | | | REF_CLOSE: (3), (4), (5), (7), (16), (18), (21), (23), (26), (27),
% 172.64/26.88  | | | | | | |            (30), (32), (33), (34), (36), (38), (40), (42), (44),
% 172.64/26.88  | | | | | | |            (46), (47), (49), (52), (53), (54), (55), (58), (63),
% 172.64/26.88  | | | | | | |            (73), (77), (98) are inconsistent by sub-proof #409.
% 172.64/26.88  | | | | | | | 
% 172.64/26.88  | | | | | | End of split
% 172.64/26.88  | | | | | | 
% 172.64/26.88  | | | | | End of split
% 172.64/26.88  | | | | | 
% 172.64/26.88  | | | | End of split
% 172.64/26.88  | | | | 
% 172.64/26.88  | | | End of split
% 172.64/26.88  | | | 
% 172.64/26.88  | | End of split
% 172.64/26.88  | | 
% 172.64/26.88  | End of split
% 172.64/26.88  | 
% 172.64/26.88  End of proof
% 172.64/26.88  
% 172.64/26.88  Sub-proof #376 shows that the following formulas are inconsistent:
% 172.64/26.88  ----------------------------------------------------------------
% 172.64/26.88    (1)   ~ (all_10_2 = e0)
% 172.64/26.88    (2)  op(e1, all_10_2) = all_58_10
% 172.64/26.88    (3)  op(e1, e1) = all_10_2
% 172.64/26.88    (4)  all_58_26 = all_10_2
% 172.64/26.88    (5)   ~ (all_52_12 = e3)
% 172.64/26.88    (6)   ~ (all_52_9 = all_52_13)
% 172.64/26.88    (7)  all_58_28 = e3 | all_58_29 = e2
% 172.64/26.88    (8)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.64/26.88    (9)   ~ (e3 = e0)
% 172.64/26.88    (10)  all_58_29 = all_52_13
% 172.64/26.88    (11)  op(all_10_2, e1) = e0
% 172.64/26.88    (12)  all_58_24 = e0
% 172.64/26.88    (13)  all_58_25 = all_52_9
% 172.64/26.88    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/26.88            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/26.88    (15)  all_58_28 = all_52_12
% 172.64/26.88  
% 172.64/26.88  Begin of proof
% 172.64/26.88  | 
% 172.64/26.88  | BETA: splitting (7) gives:
% 172.64/26.88  | 
% 172.64/26.88  | Case 1:
% 172.64/26.88  | | 
% 172.64/26.88  | |   (16)  all_58_29 = e2
% 172.64/26.88  | | 
% 172.64/26.88  | | COMBINE_EQS: (10), (16) imply:
% 172.64/26.88  | |   (17)  all_52_13 = e2
% 172.64/26.88  | | 
% 172.64/26.88  | | SIMP: (17) implies:
% 172.64/26.88  | |   (18)  all_52_13 = e2
% 172.64/26.88  | | 
% 172.64/26.88  | | REDUCE: (6), (18) imply:
% 172.64/26.88  | |   (19)   ~ (all_52_9 = e2)
% 172.64/26.88  | | 
% 172.64/26.88  | | REF_CLOSE: (1), (2), (3), (4), (8), (9), (11), (12), (13), (14), (19) are
% 172.64/26.88  | |            inconsistent by sub-proof #377.
% 172.64/26.88  | | 
% 172.64/26.88  | Case 2:
% 172.64/26.88  | | 
% 172.64/26.88  | |   (20)  all_58_28 = e3
% 172.64/26.88  | | 
% 172.64/26.88  | | REF_CLOSE: (5), (15), (20) are inconsistent by sub-proof #870.
% 172.64/26.88  | | 
% 172.64/26.88  | End of split
% 172.64/26.88  | 
% 172.64/26.88  End of proof
% 172.64/26.88  
% 172.64/26.88  Sub-proof #377 shows that the following formulas are inconsistent:
% 172.64/26.88  ----------------------------------------------------------------
% 172.64/26.88    (1)   ~ (all_10_2 = e0)
% 172.64/26.88    (2)  op(e1, all_10_2) = all_58_10
% 172.64/26.88    (3)  op(e1, e1) = all_10_2
% 172.64/26.88    (4)  all_58_26 = all_10_2
% 172.64/26.88    (5)   ~ (all_52_9 = e2)
% 172.64/26.88    (6)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.64/26.88    (7)   ~ (e3 = e0)
% 172.64/26.88    (8)  op(all_10_2, e1) = e0
% 172.64/26.88    (9)  all_58_24 = e0
% 172.64/26.88    (10)  all_58_25 = all_52_9
% 172.64/26.88    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/26.88            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/26.88  
% 172.64/26.88  Begin of proof
% 172.64/26.88  | 
% 172.64/26.88  | BETA: splitting (6) gives:
% 172.64/26.88  | 
% 172.64/26.88  | Case 1:
% 172.64/26.88  | | 
% 172.64/26.88  | |   (12)  all_58_26 = e1
% 172.64/26.88  | | 
% 172.64/26.88  | | COMBINE_EQS: (4), (12) imply:
% 172.64/26.88  | |   (13)  all_10_2 = e1
% 172.64/26.88  | | 
% 172.64/26.88  | | SIMP: (13) implies:
% 172.64/26.88  | |   (14)  all_10_2 = e1
% 172.64/26.88  | | 
% 172.64/26.88  | | REF_CLOSE: (1), (2), (3), (8), (11), (14) are inconsistent by sub-proof
% 172.64/26.88  | |            #378.
% 172.64/26.88  | | 
% 172.64/26.88  | Case 2:
% 172.64/26.88  | | 
% 172.64/26.88  | |   (15)  all_58_24 = e3 | all_58_25 = e2
% 172.64/26.88  | | 
% 172.64/26.88  | | REF_CLOSE: (5), (7), (9), (10), (15) are inconsistent by sub-proof #921.
% 172.64/26.88  | | 
% 172.64/26.88  | End of split
% 172.64/26.88  | 
% 172.64/26.88  End of proof
% 172.64/26.88  
% 172.64/26.88  Sub-proof #378 shows that the following formulas are inconsistent:
% 172.64/26.88  ----------------------------------------------------------------
% 172.64/26.88    (1)   ~ (all_10_2 = e0)
% 172.64/26.88    (2)  op(e1, all_10_2) = all_58_10
% 172.64/26.88    (3)  op(e1, e1) = all_10_2
% 172.64/26.88    (4)  all_10_2 = e1
% 172.64/26.88    (5)  op(all_10_2, e1) = e0
% 172.64/26.88    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/26.88           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/26.88  
% 172.64/26.88  Begin of proof
% 172.64/26.88  | 
% 172.64/26.88  | REDUCE: (1), (4) imply:
% 172.64/26.88  |   (7)   ~ (e1 = e0)
% 172.64/26.88  | 
% 172.64/26.88  | REDUCE: (4), (5) imply:
% 172.64/26.88  |   (8)  op(e1, e1) = e0
% 172.64/26.88  | 
% 172.64/26.88  | REDUCE: (2), (4) imply:
% 172.64/26.88  |   (9)  op(e1, e1) = all_58_10
% 172.64/26.88  | 
% 172.64/26.88  | REDUCE: (3), (4) imply:
% 172.64/26.88  |   (10)  op(e1, e1) = e1
% 172.64/26.88  | 
% 172.64/26.88  | REF_CLOSE: (6), (7), (8), (9), (10) are inconsistent by sub-proof #485.
% 172.64/26.88  | 
% 172.64/26.88  End of proof
% 172.64/26.88  
% 172.64/26.88  Sub-proof #379 shows that the following formulas are inconsistent:
% 172.64/26.88  ----------------------------------------------------------------
% 172.64/26.88    (1)   ~ (all_52_12 = all_14_2)
% 172.64/26.88    (2)  all_54_8 = all_52_2
% 172.64/26.88    (3)  all_56_1 = all_52_4
% 172.64/26.88    (4)   ~ (all_6_0 = e0)
% 172.64/26.88    (5)  all_56_12 = all_52_3
% 172.64/26.88    (6)  op(e1, e3) = all_52_2
% 172.64/26.88    (7)   ~ (all_10_2 = e0)
% 172.64/26.88    (8)   ~ (all_52_8 = all_52_12)
% 172.64/26.88    (9)   ~ (e3 = e1)
% 172.64/26.88    (10)  all_58_23 = all_52_7
% 172.64/26.88    (11)   ~ (all_52_2 = all_6_2)
% 172.64/26.88    (12)   ~ (all_52_4 = all_4_2)
% 172.64/26.88    (13)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.64/26.88    (14)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.64/26.88    (15)  all_54_3 = all_52_12
% 172.64/26.88    (16)  all_56_5 = all_52_9
% 172.64/26.88    (17)   ~ (all_52_3 = all_52_11)
% 172.64/26.88    (18)  op(all_6_2, e3) = all_6_1
% 172.64/26.88    (19)   ~ (all_52_12 = all_6_2)
% 172.64/26.88    (20)   ~ (all_52_6 = all_4_2)
% 172.64/26.88    (21)  op(e3, all_6_2) = all_58_0
% 172.64/26.88    (22)  op(e1, e0) = all_52_14
% 172.64/26.88    (23)  all_56_15 = all_14_2
% 172.64/26.88    (24)   ~ (all_52_11 = all_14_2)
% 172.64/26.88    (25)  op(e3, all_52_4) = all_58_1
% 172.64/26.88    (26)  all_54_1 = all_52_4
% 172.64/26.88    (27)  op(all_10_2, e1) = all_10_1
% 172.64/26.88    (28)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 172.64/26.88    (29)   ~ (all_52_9 = all_4_2)
% 172.64/26.88    (30)   ~ (all_52_3 = all_52_7)
% 172.64/26.88    (31)  all_56_14 = all_52_11
% 172.64/26.88    (32)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 172.64/26.88    (33)   ~ (all_52_13 = all_4_2)
% 172.64/26.88    (34)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.64/26.88    (35)  all_56_8 = all_10_2
% 172.64/26.88    (36)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.64/26.88    (37)  all_58_26 = all_10_2
% 172.64/26.88    (38)   ~ (all_52_4 = all_52_6)
% 172.64/26.88    (39)  all_58_31 = all_14_2
% 172.64/26.88    (40)   ~ (all_52_11 = all_10_2)
% 172.64/26.88    (41)   ~ (all_52_9 = all_52_13)
% 172.64/26.88    (42)   ~ (all_52_3 = all_6_2)
% 172.64/26.88    (43)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.64/26.88    (44)  op(all_6_1, all_6_2) = all_6_0
% 172.64/26.88    (45)   ~ (all_52_1 = all_6_2)
% 172.64/26.88    (46)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 172.64/26.88    (47)  all_54_2 = all_52_8
% 172.64/26.88    (48)  all_56_11 = all_52_14
% 172.64/26.88    (49)  op(e2, e1) = all_52_9
% 172.64/26.88    (50)   ~ (all_52_6 = all_52_7)
% 172.64/26.88    (51)  all_56_0 = all_6_2
% 172.64/26.88    (52)   ~ (all_52_9 = all_10_2)
% 172.64/26.88    (53)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.64/26.88    (54)  all_58_30 = all_52_14
% 172.64/26.88    (55)  all_58_27 = all_52_11
% 172.64/26.88    (56)  all_54_14 = all_52_11
% 172.64/26.88    (57)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.64/26.88    (58)  all_58_17 = all_52_1
% 172.64/26.88    (59)  op(e3, e1) = all_52_8
% 172.64/26.88    (60)  all_58_19 = all_52_3
% 172.64/26.88    (61)  all_56_9 = all_52_12
% 172.64/26.88    (62)   ~ (all_52_2 = all_52_6)
% 172.64/26.88    (63)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 172.64/26.88    (64)   ~ (e3 = e2)
% 172.64/26.88    (65)   ~ (all_52_4 = all_52_7)
% 172.64/26.88    (66)   ~ (e2 = e1)
% 172.64/26.88    (67)   ~ (all_52_6 = all_10_2)
% 172.64/26.88    (68)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.64/26.88    (69)   ~ (all_52_7 = all_14_2)
% 172.64/26.88    (70)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.64/26.88    (71)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.64/26.88    (72)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 172.64/26.88    (73)   ~ (all_52_13 = all_14_2)
% 172.64/26.88    (74)   ~ (all_52_1 = all_4_2)
% 172.64/26.88    (75)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.64/26.88    (76)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.64/26.88    (77)  all_54_9 = all_52_6
% 172.64/26.88    (78)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.64/26.88    (79)   ~ (all_52_13 = all_52_14)
% 172.64/26.88    (80)  op(e2, e3) = all_52_1
% 172.64/26.88    (81)  all_58_18 = all_52_2
% 172.64/26.88    (82)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.64/26.88    (83)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.64/26.88    (84)  all_58_16 = all_6_2
% 172.64/26.88    (85)  all_56_13 = all_52_7
% 172.64/26.88    (86)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 172.64/26.88    (87)   ~ (all_52_8 = all_52_9)
% 172.64/26.88    (88)   ~ (all_52_4 = all_6_2)
% 172.64/26.88    (89)  all_56_2 = all_52_1
% 172.64/26.88    (90)   ~ (e3 = e0)
% 172.64/26.88    (91)  all_58_29 = all_52_13
% 172.64/26.88    (92)   ~ (all_52_1 = all_52_2)
% 172.64/26.88    (93)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 172.64/26.88    (94)   ~ (all_4_2 = e0)
% 172.64/26.88    (95)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.64/26.88    (96)   ~ (all_6_2 = e0)
% 172.64/26.88    (97)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 172.64/26.88    (98)   ~ (all_52_6 = all_52_14)
% 172.64/26.88    (99)   ~ (all_52_7 = all_4_2)
% 172.64/26.88    (100)   ~ (all_52_8 = all_10_2)
% 172.64/26.88    (101)  all_56_4 = all_52_8
% 172.64/26.88    (102)   ~ (all_52_1 = all_52_13)
% 172.64/26.88    (103)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.64/26.88    (104)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 172.64/26.88    (105)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 172.64/26.88    (106)  all_58_20 = all_52_4
% 172.64/26.88    (107)  all_54_10 = all_10_2
% 172.64/26.88    (108)  all_54_13 = all_52_7
% 172.64/26.88    (109)  all_54_15 = all_14_2
% 172.64/26.88    (110)   ~ (all_52_7 = all_52_11)
% 172.64/26.88    (111)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.64/26.88    (112)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 172.64/26.88    (113)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 172.64/26.88    (114)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.64/26.88    (115)   ~ (all_52_8 = all_52_11)
% 172.64/26.88    (116)   ~ (all_52_8 = all_6_2)
% 172.64/26.88    (117)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 172.64/26.88    (118)  all_56_6 = all_52_2
% 172.64/26.88    (119)   ~ (all_52_1 = all_52_9)
% 172.64/26.88    (120)  op(e3, e3) = all_6_2
% 172.64/26.88    (121)  all_58_24 = all_52_8
% 172.64/26.88    (122)   ~ (all_52_12 = all_52_14)
% 172.64/26.88    (123)   ~ (all_52_9 = all_52_11)
% 172.64/26.88    (124)  all_58_22 = all_52_6
% 172.64/26.89    (125)  op(all_14_2, e0) = all_14_1
% 172.64/26.89    (126)   ~ (all_52_4 = all_52_12)
% 172.64/26.89    (127)  all_56_3 = all_4_2
% 172.64/26.89    (128)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.64/26.89    (129)  all_54_0 = all_6_2
% 172.64/26.89    (130)   ~ (all_52_14 = all_10_2)
% 172.64/26.89    (131)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 172.64/26.89    (132)   ~ (all_52_1 = e0)
% 172.64/26.89    (133)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 172.64/26.89    (134)   ~ (all_52_2 = all_52_3)
% 172.64/26.89    (135)   ~ (all_52_4 = all_52_8)
% 172.64/26.89    (136)   ~ (all_52_14 = all_14_2)
% 172.64/26.89    (137)  all_58_25 = all_52_9
% 172.64/26.89    (138)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 172.64/26.89    (139)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/26.89             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/26.89    (140)   ~ (all_6_1 = e0)
% 172.64/26.89    (141)  all_54_12 = all_52_3
% 172.64/26.89    (142)   ~ (all_52_2 = all_52_14)
% 172.64/26.89    (143)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 172.64/26.89    (144)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 172.64/26.89    (145)  all_58_21 = all_4_2
% 172.64/26.89    (146)  all_56_10 = all_52_13
% 172.64/26.89    (147)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.64/26.89    (148)   ~ (e2 = e0)
% 172.64/26.89    (149)   ~ (all_52_1 = all_52_3)
% 172.64/26.89    (150)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 172.64/26.89    (151)  all_58_28 = all_52_12
% 172.64/26.89    (152)  op(e1, all_52_6) = all_58_9
% 172.64/26.89    (153)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.64/26.89    (154)   ~ (e1 = e0)
% 172.64/26.89    (155)  all_56_7 = all_52_6
% 172.64/26.89    (156)  all_54_5 = all_4_2
% 172.64/26.89    (157)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.64/26.89    (158)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.64/26.89           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.64/26.89           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/26.89           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/26.89           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/26.89           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/26.89           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/26.89           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.64/26.89           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.64/26.89           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.64/26.89             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.64/26.89             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.64/26.89             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.64/26.89             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.64/26.89             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.64/26.89             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.64/26.89             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.64/26.89             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.64/26.89             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/26.89             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.64/26.89             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.64/26.89             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/26.89             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.64/26.89             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.64/26.89             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.64/26.89             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.64/26.89           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.64/26.89           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/26.89           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.64/26.89             all_58_30 = e0 & e1 = e0)
% 172.64/26.89    (159)  all_54_7 = all_52_13
% 172.64/26.89    (160)   ~ (all_52_2 = all_10_2)
% 172.64/26.89    (161)  op(e1, e2) = all_52_6
% 172.64/26.89    (162)   ~ (all_10_1 = e0)
% 172.64/26.89    (163)  all_54_11 = all_52_14
% 172.64/26.89    (164)  op(all_14_1, all_14_2) = e1
% 172.64/26.89    (165)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.64/26.89    (166)   ~ (all_52_12 = all_52_13)
% 172.64/26.89  
% 172.64/26.89  Begin of proof
% 172.64/26.89  | 
% 172.64/26.89  | BETA: splitting (113) gives:
% 172.64/26.89  | 
% 172.64/26.89  | Case 1:
% 172.64/26.89  | | 
% 172.64/26.89  | |   (167)  all_56_6 = e0
% 172.64/26.89  | | 
% 172.64/26.89  | | REF_CLOSE: (1), (3), (6), (8), (10), (12), (13), (14), (16), (18), (19),
% 172.64/26.89  | |            (20), (21), (22), (23), (25), (26), (27), (29), (30), (31), (32),
% 172.64/26.89  | |            (34), (35), (36), (37), (38), (39), (41), (42), (43), (45), (46),
% 172.64/26.89  | |            (47), (48), (50), (51), (52), (53), (54), (55), (57), (58), (59),
% 172.64/26.89  | |            (60), (61), (62), (67), (68), (70), (71), (72), (73), (75), (76),
% 172.64/26.89  | |            (77), (78), (79), (81), (84), (85), (86), (88), (90), (91), (94),
% 172.64/26.89  | |            (95), (98), (100), (101), (102), (104), (105), (107), (110),
% 172.64/26.89  | |            (112), (115), (116), (118), (119), (120), (121), (122), (123),
% 172.64/26.89  | |            (124), (125), (126), (127), (129), (130), (135), (136), (137),
% 172.64/26.89  | |            (138), (139), (140), (141), (142), (143), (144), (145), (146),
% 172.64/26.89  | |            (148), (149), (151), (152), (153), (154), (155), (156), (158),
% 172.64/26.89  | |            (159), (160), (162), (163), (164), (166), (167) are inconsistent
% 172.64/26.89  | |            by sub-proof #386.
% 172.64/26.89  | | 
% 172.64/26.89  | Case 2:
% 172.64/26.89  | | 
% 172.64/26.89  | |   (168)   ~ (all_56_6 = e0)
% 172.64/26.89  | | 
% 172.64/26.89  | | REDUCE: (118), (168) imply:
% 172.64/26.89  | |   (169)   ~ (all_52_2 = e0)
% 172.64/26.89  | | 
% 172.64/26.89  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 172.64/26.89  | |            (15), (16), (17), (18), (19), (20), (23), (24), (26), (28), (29),
% 172.64/26.89  | |            (30), (31), (33), (34), (35), (36), (37), (38), (39), (40), (41),
% 172.64/26.89  | |            (42), (44), (45), (47), (48), (49), (50), (51), (53), (54), (55),
% 172.64/26.89  | |            (56), (58), (60), (61), (62), (63), (64), (65), (66), (67), (68),
% 172.64/26.89  | |            (69), (70), (71), (73), (74), (75), (76), (78), (79), (80), (82),
% 172.64/26.89  | |            (83), (84), (85), (87), (88), (89), (90), (91), (92), (93), (95),
% 172.64/26.89  | |            (96), (97), (98), (99), (100), (101), (102), (103), (106), (108),
% 172.64/26.89  | |            (109), (110), (111), (112), (114), (115), (116), (117), (118),
% 172.64/26.89  | |            (119), (121), (122), (123), (124), (126), (127), (128), (129),
% 172.64/26.89  | |            (130), (131), (132), (133), (134), (135), (136), (137), (139),
% 172.64/26.89  | |            (143), (145), (146), (147), (148), (150), (151), (154), (155),
% 172.64/26.89  | |            (157), (158), (160), (161), (165), (166), (169) are inconsistent
% 172.64/26.89  | |            by sub-proof #380.
% 172.64/26.89  | | 
% 172.64/26.89  | End of split
% 172.64/26.89  | 
% 172.64/26.89  End of proof
% 172.64/26.89  
% 172.64/26.89  Sub-proof #380 shows that the following formulas are inconsistent:
% 172.64/26.89  ----------------------------------------------------------------
% 172.64/26.89    (1)   ~ (all_52_12 = all_14_2)
% 172.64/26.89    (2)  all_54_8 = all_52_2
% 172.64/26.89    (3)  all_56_1 = all_52_4
% 172.64/26.89    (4)   ~ (all_6_0 = e0)
% 172.64/26.89    (5)  all_56_12 = all_52_3
% 172.64/26.89    (6)  op(e1, e3) = all_52_2
% 172.64/26.89    (7)   ~ (all_10_2 = e0)
% 172.64/26.89    (8)   ~ (all_52_8 = all_52_12)
% 172.64/26.89    (9)   ~ (e3 = e1)
% 172.64/26.89    (10)  all_58_23 = all_52_7
% 172.64/26.89    (11)   ~ (all_52_2 = all_6_2)
% 172.64/26.89    (12)   ~ (all_52_4 = all_4_2)
% 172.64/26.89    (13)  all_54_3 = all_52_12
% 172.64/26.89    (14)  all_56_5 = all_52_9
% 172.64/26.89    (15)   ~ (all_52_3 = all_52_11)
% 172.64/26.89    (16)  op(all_6_2, e3) = all_6_1
% 172.64/26.89    (17)   ~ (all_52_12 = all_6_2)
% 172.64/26.89    (18)   ~ (all_52_6 = all_4_2)
% 172.64/26.89    (19)  all_56_15 = all_14_2
% 172.64/26.89    (20)   ~ (all_52_11 = all_14_2)
% 172.64/26.89    (21)  all_54_1 = all_52_4
% 172.64/26.89    (22)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 172.64/26.89    (23)   ~ (all_52_9 = all_4_2)
% 172.64/26.89    (24)   ~ (all_52_3 = all_52_7)
% 172.64/26.89    (25)  all_56_14 = all_52_11
% 172.64/26.89    (26)   ~ (all_52_13 = all_4_2)
% 172.64/26.89    (27)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.64/26.89    (28)  all_56_8 = all_10_2
% 172.64/26.89    (29)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.64/26.89    (30)  all_58_26 = all_10_2
% 172.64/26.89    (31)   ~ (all_52_4 = all_52_6)
% 172.64/26.89    (32)  all_58_31 = all_14_2
% 172.64/26.89    (33)   ~ (all_52_11 = all_10_2)
% 172.64/26.89    (34)   ~ (all_52_9 = all_52_13)
% 172.64/26.89    (35)   ~ (all_52_3 = all_6_2)
% 172.64/26.89    (36)  op(all_6_1, all_6_2) = all_6_0
% 172.64/26.89    (37)   ~ (all_52_1 = all_6_2)
% 172.64/26.89    (38)  all_54_2 = all_52_8
% 172.64/26.89    (39)  all_56_11 = all_52_14
% 172.64/26.89    (40)  op(e2, e1) = all_52_9
% 172.64/26.89    (41)   ~ (all_52_6 = all_52_7)
% 172.64/26.89    (42)  all_56_0 = all_6_2
% 172.64/26.89    (43)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.64/26.89    (44)  all_58_30 = all_52_14
% 172.64/26.89    (45)  all_58_27 = all_52_11
% 172.64/26.89    (46)  all_54_14 = all_52_11
% 172.64/26.89    (47)  all_58_17 = all_52_1
% 172.64/26.89    (48)  all_58_19 = all_52_3
% 172.64/26.89    (49)  all_56_9 = all_52_12
% 172.64/26.89    (50)   ~ (all_52_2 = all_52_6)
% 172.64/26.89    (51)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 172.64/26.89    (52)   ~ (e3 = e2)
% 172.64/26.89    (53)   ~ (all_52_4 = all_52_7)
% 172.64/26.89    (54)   ~ (e2 = e1)
% 172.64/26.89    (55)   ~ (all_52_6 = all_10_2)
% 172.64/26.89    (56)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.64/26.89    (57)   ~ (all_52_2 = e0)
% 172.64/26.89    (58)   ~ (all_52_7 = all_14_2)
% 172.64/26.89    (59)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.64/26.89    (60)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.64/26.89    (61)   ~ (all_52_13 = all_14_2)
% 172.64/26.89    (62)   ~ (all_52_1 = all_4_2)
% 172.64/26.89    (63)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.64/26.89    (64)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.64/26.89    (65)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.64/26.89    (66)   ~ (all_52_13 = all_52_14)
% 172.64/26.89    (67)  op(e2, e3) = all_52_1
% 172.64/26.89    (68)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.64/26.89    (69)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.64/26.89    (70)  all_58_16 = all_6_2
% 172.64/26.89    (71)  all_56_13 = all_52_7
% 172.64/26.89    (72)   ~ (all_52_8 = all_52_9)
% 172.64/26.89    (73)   ~ (all_52_4 = all_6_2)
% 172.64/26.89    (74)  all_56_2 = all_52_1
% 172.64/26.89    (75)   ~ (e3 = e0)
% 172.64/26.89    (76)  all_58_29 = all_52_13
% 172.64/26.89    (77)   ~ (all_52_1 = all_52_2)
% 172.64/26.89    (78)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 172.64/26.89    (79)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.64/26.89    (80)   ~ (all_6_2 = e0)
% 172.64/26.89    (81)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 172.64/26.89    (82)   ~ (all_52_6 = all_52_14)
% 172.64/26.89    (83)   ~ (all_52_7 = all_4_2)
% 172.64/26.89    (84)   ~ (all_52_8 = all_10_2)
% 172.64/26.89    (85)  all_56_4 = all_52_8
% 172.64/26.89    (86)   ~ (all_52_1 = all_52_13)
% 172.64/26.89    (87)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.64/26.89    (88)  all_58_20 = all_52_4
% 172.64/26.89    (89)  all_54_13 = all_52_7
% 172.64/26.89    (90)  all_54_15 = all_14_2
% 172.64/26.89    (91)   ~ (all_52_7 = all_52_11)
% 172.64/26.89    (92)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.64/26.89    (93)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 172.64/26.89    (94)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.64/26.89    (95)   ~ (all_52_8 = all_52_11)
% 172.64/26.89    (96)   ~ (all_52_8 = all_6_2)
% 172.64/26.89    (97)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 172.64/26.89    (98)  all_56_6 = all_52_2
% 172.64/26.89    (99)   ~ (all_52_1 = all_52_9)
% 172.64/26.89    (100)  all_58_24 = all_52_8
% 172.64/26.89    (101)   ~ (all_52_12 = all_52_14)
% 172.64/26.89    (102)   ~ (all_52_9 = all_52_11)
% 172.64/26.89    (103)  all_58_22 = all_52_6
% 172.64/26.89    (104)   ~ (all_52_4 = all_52_12)
% 172.64/26.89    (105)  all_56_3 = all_4_2
% 172.64/26.89    (106)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.64/26.89    (107)  all_54_0 = all_6_2
% 172.64/26.89    (108)   ~ (all_52_14 = all_10_2)
% 172.64/26.89    (109)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 172.64/26.89    (110)   ~ (all_52_1 = e0)
% 172.64/26.89    (111)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 172.64/26.89    (112)   ~ (all_52_2 = all_52_3)
% 172.64/26.89    (113)   ~ (all_52_4 = all_52_8)
% 172.64/26.89    (114)   ~ (all_52_14 = all_14_2)
% 172.64/26.89    (115)  all_58_25 = all_52_9
% 172.64/26.89    (116)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/26.89             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/26.89    (117)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 172.64/26.89    (118)  all_58_21 = all_4_2
% 172.64/26.89    (119)  all_56_10 = all_52_13
% 172.64/26.89    (120)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.64/26.89    (121)   ~ (e2 = e0)
% 172.64/26.89    (122)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 172.64/26.89    (123)  all_58_28 = all_52_12
% 172.64/26.89    (124)   ~ (e1 = e0)
% 172.64/26.89    (125)  all_56_7 = all_52_6
% 172.64/26.89    (126)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.64/26.89    (127)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.64/26.89           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.64/26.89           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/26.89           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/26.89           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/26.89           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/26.89           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/26.89           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.64/26.89           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.64/26.89           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.64/26.89             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.64/26.89             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.64/26.89             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.64/26.89             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.64/26.89             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.64/26.89             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.64/26.89             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.64/26.89             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.64/26.89             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/26.89             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.64/26.89             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.64/26.89             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/26.89             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.64/26.89             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.64/26.89             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.64/26.89             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.64/26.89           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.64/26.89           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/26.89           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.64/26.89             all_58_30 = e0 & e1 = e0)
% 172.64/26.89    (128)   ~ (all_52_2 = all_10_2)
% 172.64/26.89    (129)  op(e1, e2) = all_52_6
% 172.64/26.89    (130)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.64/26.89    (131)   ~ (all_52_12 = all_52_13)
% 172.64/26.89  
% 172.64/26.89  Begin of proof
% 172.64/26.89  | 
% 172.64/26.89  | BETA: splitting (92) gives:
% 172.64/26.89  | 
% 172.64/26.89  | Case 1:
% 172.64/26.89  | | 
% 172.64/26.89  | |   (132)  all_56_0 = e0
% 172.64/26.89  | | 
% 172.64/26.89  | | COMBINE_EQS: (42), (132) imply:
% 172.64/26.89  | |   (133)  all_6_2 = e0
% 172.64/26.89  | | 
% 172.64/26.89  | | REDUCE: (80), (133) imply:
% 172.64/26.89  | |   (134)  $false
% 172.64/26.89  | | 
% 172.64/26.89  | | CLOSE: (134) is inconsistent.
% 172.64/26.89  | | 
% 172.64/26.89  | Case 2:
% 172.64/26.89  | | 
% 172.64/26.89  | |   (135)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.64/26.89  | | 
% 172.64/26.89  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 172.64/26.89  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 172.64/26.89  | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 172.64/26.89  | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (44), (45),
% 172.64/26.89  | |            (46), (47), (48), (49), (50), (51), (52), (53), (54), (55), (56),
% 172.64/26.89  | |            (57), (58), (59), (60), (61), (62), (63), (64), (65), (66), (67),
% 172.64/26.89  | |            (68), (69), (70), (71), (72), (73), (74), (75), (76), (77), (78),
% 172.64/26.89  | |            (79), (81), (82), (83), (84), (85), (86), (87), (88), (89), (90),
% 172.64/26.89  | |            (91), (93), (94), (95), (96), (97), (98), (99), (100), (101),
% 172.64/26.89  | |            (102), (103), (104), (105), (106), (107), (108), (109), (110),
% 172.64/26.89  | |            (111), (112), (113), (114), (115), (116), (117), (118), (119),
% 172.64/26.89  | |            (120), (121), (122), (123), (124), (125), (126), (127), (128),
% 172.64/26.89  | |            (129), (130), (131), (135) are inconsistent by sub-proof #381.
% 172.64/26.89  | | 
% 172.64/26.89  | End of split
% 172.64/26.89  | 
% 172.64/26.89  End of proof
% 172.64/26.89  
% 172.64/26.89  Sub-proof #381 shows that the following formulas are inconsistent:
% 172.64/26.89  ----------------------------------------------------------------
% 172.64/26.89    (1)   ~ (all_52_12 = all_14_2)
% 172.64/26.89    (2)  all_54_8 = all_52_2
% 172.64/26.89    (3)  all_56_1 = all_52_4
% 172.64/26.89    (4)   ~ (all_6_0 = e0)
% 172.64/26.89    (5)  all_56_12 = all_52_3
% 172.64/26.89    (6)  op(e1, e3) = all_52_2
% 172.64/26.89    (7)   ~ (all_10_2 = e0)
% 172.64/26.89    (8)   ~ (all_52_8 = all_52_12)
% 172.64/26.89    (9)   ~ (e3 = e1)
% 172.64/26.89    (10)  all_58_23 = all_52_7
% 172.64/26.89    (11)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.64/26.89    (12)   ~ (all_52_2 = all_6_2)
% 172.64/26.89    (13)   ~ (all_52_4 = all_4_2)
% 172.64/26.89    (14)  all_54_3 = all_52_12
% 172.64/26.89    (15)  all_56_5 = all_52_9
% 172.64/26.89    (16)   ~ (all_52_3 = all_52_11)
% 172.64/26.89    (17)  op(all_6_2, e3) = all_6_1
% 172.64/26.89    (18)   ~ (all_52_12 = all_6_2)
% 172.64/26.89    (19)   ~ (all_52_6 = all_4_2)
% 172.64/26.89    (20)  all_56_15 = all_14_2
% 172.64/26.89    (21)   ~ (all_52_11 = all_14_2)
% 172.64/26.89    (22)  all_54_1 = all_52_4
% 172.64/26.89    (23)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 172.64/26.89    (24)   ~ (all_52_9 = all_4_2)
% 172.64/26.89    (25)   ~ (all_52_3 = all_52_7)
% 172.64/26.89    (26)  all_56_14 = all_52_11
% 172.64/26.89    (27)   ~ (all_52_13 = all_4_2)
% 172.64/26.89    (28)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.64/26.89    (29)  all_56_8 = all_10_2
% 172.64/26.89    (30)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.64/26.89    (31)  all_58_26 = all_10_2
% 172.64/26.89    (32)   ~ (all_52_4 = all_52_6)
% 172.64/26.89    (33)  all_58_31 = all_14_2
% 172.64/26.89    (34)   ~ (all_52_11 = all_10_2)
% 172.64/26.89    (35)   ~ (all_52_9 = all_52_13)
% 172.64/26.89    (36)   ~ (all_52_3 = all_6_2)
% 172.64/26.89    (37)  op(all_6_1, all_6_2) = all_6_0
% 172.64/26.89    (38)   ~ (all_52_1 = all_6_2)
% 172.64/26.89    (39)  all_54_2 = all_52_8
% 172.64/26.89    (40)  all_56_11 = all_52_14
% 172.64/26.89    (41)  op(e2, e1) = all_52_9
% 172.64/26.89    (42)   ~ (all_52_6 = all_52_7)
% 172.64/26.89    (43)  all_56_0 = all_6_2
% 172.64/26.89    (44)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.64/26.89    (45)  all_58_30 = all_52_14
% 172.64/26.89    (46)  all_58_27 = all_52_11
% 172.64/26.89    (47)  all_54_14 = all_52_11
% 172.64/26.89    (48)  all_58_17 = all_52_1
% 172.64/26.89    (49)  all_58_19 = all_52_3
% 172.64/26.89    (50)  all_56_9 = all_52_12
% 172.64/26.89    (51)   ~ (all_52_2 = all_52_6)
% 172.64/26.89    (52)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 172.64/26.89    (53)   ~ (e3 = e2)
% 172.64/26.89    (54)   ~ (all_52_4 = all_52_7)
% 172.64/26.89    (55)   ~ (e2 = e1)
% 172.64/26.89    (56)   ~ (all_52_6 = all_10_2)
% 172.64/26.89    (57)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.64/26.89    (58)   ~ (all_52_2 = e0)
% 172.64/26.89    (59)   ~ (all_52_7 = all_14_2)
% 172.64/26.89    (60)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.64/26.89    (61)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.64/26.89    (62)   ~ (all_52_13 = all_14_2)
% 172.64/26.89    (63)   ~ (all_52_1 = all_4_2)
% 172.64/26.89    (64)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.64/26.89    (65)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.64/26.89    (66)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.64/26.89    (67)   ~ (all_52_13 = all_52_14)
% 172.64/26.89    (68)  op(e2, e3) = all_52_1
% 172.64/26.89    (69)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.64/26.89    (70)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.64/26.89    (71)  all_58_16 = all_6_2
% 172.64/26.89    (72)  all_56_13 = all_52_7
% 172.64/26.89    (73)   ~ (all_52_8 = all_52_9)
% 172.64/26.89    (74)   ~ (all_52_4 = all_6_2)
% 172.64/26.89    (75)  all_56_2 = all_52_1
% 172.64/26.89    (76)   ~ (e3 = e0)
% 172.64/26.89    (77)  all_58_29 = all_52_13
% 172.64/26.89    (78)   ~ (all_52_1 = all_52_2)
% 172.64/26.89    (79)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 172.64/26.89    (80)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.64/26.89    (81)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 172.64/26.89    (82)   ~ (all_52_6 = all_52_14)
% 172.64/26.89    (83)   ~ (all_52_7 = all_4_2)
% 172.64/26.89    (84)   ~ (all_52_8 = all_10_2)
% 172.64/26.89    (85)  all_56_4 = all_52_8
% 172.64/26.89    (86)   ~ (all_52_1 = all_52_13)
% 172.64/26.89    (87)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.64/26.89    (88)  all_58_20 = all_52_4
% 172.64/26.89    (89)  all_54_13 = all_52_7
% 172.64/26.89    (90)  all_54_15 = all_14_2
% 172.64/26.89    (91)   ~ (all_52_7 = all_52_11)
% 172.64/26.89    (92)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 172.64/26.89    (93)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.64/26.89    (94)   ~ (all_52_8 = all_52_11)
% 172.64/26.89    (95)   ~ (all_52_8 = all_6_2)
% 172.64/26.89    (96)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 172.64/26.89    (97)  all_56_6 = all_52_2
% 172.64/26.89    (98)   ~ (all_52_1 = all_52_9)
% 172.64/26.89    (99)  all_58_24 = all_52_8
% 172.64/26.89    (100)   ~ (all_52_12 = all_52_14)
% 172.64/26.89    (101)   ~ (all_52_9 = all_52_11)
% 172.64/26.89    (102)  all_58_22 = all_52_6
% 172.64/26.89    (103)   ~ (all_52_4 = all_52_12)
% 172.64/26.89    (104)  all_56_3 = all_4_2
% 172.64/26.89    (105)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.64/26.89    (106)  all_54_0 = all_6_2
% 172.64/26.89    (107)   ~ (all_52_14 = all_10_2)
% 172.64/26.89    (108)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 172.64/26.89    (109)   ~ (all_52_1 = e0)
% 172.64/26.89    (110)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 172.64/26.89    (111)   ~ (all_52_2 = all_52_3)
% 172.64/26.89    (112)   ~ (all_52_4 = all_52_8)
% 172.64/26.89    (113)   ~ (all_52_14 = all_14_2)
% 172.64/26.89    (114)  all_58_25 = all_52_9
% 172.64/26.89    (115)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/26.89             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/26.89    (116)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 172.64/26.89    (117)  all_58_21 = all_4_2
% 172.64/26.89    (118)  all_56_10 = all_52_13
% 172.64/26.89    (119)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.64/26.89    (120)   ~ (e2 = e0)
% 172.64/26.89    (121)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 172.64/26.89    (122)  all_58_28 = all_52_12
% 172.64/26.89    (123)   ~ (e1 = e0)
% 172.64/26.89    (124)  all_56_7 = all_52_6
% 172.64/26.89    (125)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.64/26.89    (126)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.64/26.89           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.64/26.89           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/26.89           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/26.89           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/26.89           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/26.89           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/26.89           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.64/26.89           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.64/26.89           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.64/26.89             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.64/26.89             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.64/26.89             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.64/26.89             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.64/26.89             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.64/26.89             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.64/26.89             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.64/26.89             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.64/26.89             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/26.89             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.64/26.89             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.64/26.89             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/26.89             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.64/26.89             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.64/26.89             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.64/26.89             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.64/26.89           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.64/26.89           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/26.89           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.64/26.89             all_58_30 = e0 & e1 = e0)
% 172.64/26.89    (127)   ~ (all_52_2 = all_10_2)
% 172.64/26.89    (128)  op(e1, e2) = all_52_6
% 172.64/26.89    (129)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.64/26.89    (130)   ~ (all_52_12 = all_52_13)
% 172.64/26.89  
% 172.64/26.89  Begin of proof
% 172.64/26.89  | 
% 172.64/26.89  | BETA: splitting (11) gives:
% 172.64/26.89  | 
% 172.64/26.89  | Case 1:
% 172.64/26.89  | | 
% 172.64/26.89  | |   (131)  all_56_2 = e0
% 172.64/26.89  | | 
% 172.64/26.89  | | COMBINE_EQS: (75), (131) imply:
% 172.64/26.89  | |   (132)  all_52_1 = e0
% 172.64/26.89  | | 
% 172.64/26.89  | | REDUCE: (109), (132) imply:
% 172.64/26.89  | |   (133)  $false
% 172.64/26.89  | | 
% 172.64/26.89  | | CLOSE: (133) is inconsistent.
% 172.64/26.89  | | 
% 172.64/26.89  | Case 2:
% 172.64/26.89  | | 
% 172.64/26.89  | |   (134)  all_56_6 = e0 | all_56_12 = e0
% 172.64/26.89  | | 
% 172.64/26.89  | | BETA: splitting (134) gives:
% 172.64/26.89  | | 
% 172.64/26.89  | | Case 1:
% 172.64/26.89  | | | 
% 172.64/26.89  | | |   (135)  all_56_6 = e0
% 172.64/26.89  | | | 
% 172.64/26.89  | | | COMBINE_EQS: (97), (135) imply:
% 172.64/26.89  | | |   (136)  all_52_2 = e0
% 172.64/26.89  | | | 
% 172.64/26.89  | | | REDUCE: (58), (136) imply:
% 172.64/26.89  | | |   (137)  $false
% 172.64/26.89  | | | 
% 172.64/26.89  | | | CLOSE: (137) is inconsistent.
% 172.64/26.89  | | | 
% 172.64/26.89  | | Case 2:
% 172.64/26.89  | | | 
% 172.64/26.89  | | |   (138)  all_56_12 = e0
% 172.64/26.89  | | | 
% 172.64/26.89  | | | COMBINE_EQS: (5), (138) imply:
% 172.64/26.89  | | |   (139)  all_52_3 = e0
% 172.64/26.89  | | | 
% 172.64/26.89  | | | SIMP: (139) implies:
% 172.64/26.89  | | |   (140)  all_52_3 = e0
% 172.64/26.89  | | | 
% 172.64/26.89  | | | COMBINE_EQS: (49), (140) imply:
% 172.64/26.89  | | |   (141)  all_58_19 = e0
% 172.64/26.89  | | | 
% 172.64/26.89  | | | REDUCE: (25), (140) imply:
% 172.64/26.89  | | |   (142)   ~ (all_52_7 = e0)
% 172.64/26.89  | | | 
% 172.64/26.89  | | | SIMP: (142) implies:
% 172.64/26.89  | | |   (143)   ~ (all_52_7 = e0)
% 172.64/26.89  | | | 
% 172.64/26.89  | | | REDUCE: (36), (140) imply:
% 172.64/26.89  | | |   (144)   ~ (all_6_2 = e0)
% 172.64/26.89  | | | 
% 172.64/26.89  | | | SIMP: (144) implies:
% 172.64/26.89  | | |   (145)   ~ (all_6_2 = e0)
% 172.64/26.89  | | | 
% 172.64/26.89  | | | BETA: splitting (110) gives:
% 172.64/26.89  | | | 
% 172.64/26.89  | | | Case 1:
% 172.64/26.89  | | | | 
% 172.64/26.89  | | | |   (146)  all_56_5 = e0
% 172.64/26.89  | | | | 
% 172.64/26.89  | | | | COMBINE_EQS: (15), (146) imply:
% 172.64/26.89  | | | |   (147)  all_52_9 = e0
% 172.64/26.89  | | | | 
% 172.64/26.89  | | | | COMBINE_EQS: (114), (147) imply:
% 172.64/26.90  | | | |   (148)  all_58_25 = e0
% 172.64/26.90  | | | | 
% 172.64/26.90  | | | | REDUCE: (73), (147) imply:
% 172.64/26.90  | | | |   (149)   ~ (all_52_8 = e0)
% 172.64/26.90  | | | | 
% 172.64/26.90  | | | | REDUCE: (101), (147) imply:
% 172.64/26.90  | | | |   (150)   ~ (all_52_11 = e0)
% 172.64/26.90  | | | | 
% 172.64/26.90  | | | | SIMP: (150) implies:
% 172.64/26.90  | | | |   (151)   ~ (all_52_11 = e0)
% 172.64/26.90  | | | | 
% 172.64/26.90  | | | | REDUCE: (35), (147) imply:
% 172.64/26.90  | | | |   (152)   ~ (all_52_13 = e0)
% 172.64/26.90  | | | | 
% 172.64/26.90  | | | | SIMP: (152) implies:
% 172.64/26.90  | | | |   (153)   ~ (all_52_13 = e0)
% 172.64/26.90  | | | | 
% 172.64/26.90  | | | | REDUCE: (24), (147) imply:
% 172.64/26.90  | | | |   (154)   ~ (all_4_2 = e0)
% 172.64/26.90  | | | | 
% 172.64/26.90  | | | | SIMP: (154) implies:
% 172.64/26.90  | | | |   (155)   ~ (all_4_2 = e0)
% 172.64/26.90  | | | | 
% 172.64/26.90  | | | | REDUCE: (41), (147) imply:
% 172.64/26.90  | | | |   (156)  op(e2, e1) = e0
% 172.64/26.90  | | | | 
% 172.64/26.90  | | | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (9), (10), (12), (13), (14),
% 172.64/26.90  | | | |            (17), (18), (19), (20), (21), (22), (23), (26), (27), (28),
% 172.64/26.90  | | | |            (29), (30), (31), (32), (33), (34), (37), (38), (39), (40),
% 172.64/26.90  | | | |            (42), (43), (44), (45), (46), (47), (48), (50), (51), (52),
% 172.64/26.90  | | | |            (53), (54), (55), (56), (57), (58), (59), (60), (61), (62),
% 172.64/26.90  | | | |            (63), (64), (65), (66), (67), (68), (69), (70), (71), (72),
% 172.64/26.90  | | | |            (74), (75), (76), (77), (78), (79), (80), (81), (82), (83),
% 172.64/26.90  | | | |            (84), (85), (86), (87), (88), (89), (90), (91), (92), (93),
% 172.64/26.90  | | | |            (94), (95), (96), (97), (99), (100), (102), (103), (104),
% 172.64/26.90  | | | |            (105), (106), (107), (108), (109), (112), (113), (115),
% 172.64/26.90  | | | |            (116), (117), (118), (119), (120), (121), (122), (123),
% 172.64/26.90  | | | |            (124), (125), (126), (127), (128), (129), (130), (138),
% 172.64/26.90  | | | |            (141), (143), (145), (146), (148), (149), (151), (153),
% 172.64/26.90  | | | |            (155), (156) are inconsistent by sub-proof #383.
% 172.64/26.90  | | | | 
% 172.64/26.90  | | | Case 2:
% 172.64/26.90  | | | | 
% 172.64/26.90  | | | |   (157)  all_56_8 = e0 | all_56_14 = e0
% 172.64/26.90  | | | | 
% 172.64/26.90  | | | | REF_CLOSE: (5), (7), (16), (26), (29), (58), (97), (134), (157) are
% 172.64/26.90  | | | |            inconsistent by sub-proof #382.
% 172.64/26.90  | | | | 
% 172.64/26.90  | | | End of split
% 172.64/26.90  | | | 
% 172.64/26.90  | | End of split
% 172.64/26.90  | | 
% 172.64/26.90  | End of split
% 172.64/26.90  | 
% 172.64/26.90  End of proof
% 172.64/26.90  
% 172.64/26.90  Sub-proof #382 shows that the following formulas are inconsistent:
% 172.64/26.90  ----------------------------------------------------------------
% 172.64/26.90    (1)  all_56_12 = all_52_3
% 172.64/26.90    (2)   ~ (all_10_2 = e0)
% 172.64/26.90    (3)   ~ (all_52_3 = all_52_11)
% 172.64/26.90    (4)  all_56_14 = all_52_11
% 172.64/26.90    (5)  all_56_8 = all_10_2
% 172.64/26.90    (6)   ~ (all_52_2 = e0)
% 172.64/26.90    (7)  all_56_6 = e0 | all_56_12 = e0
% 172.64/26.90    (8)  all_56_6 = all_52_2
% 172.64/26.90    (9)  all_56_8 = e0 | all_56_14 = e0
% 172.64/26.90  
% 172.64/26.90  Begin of proof
% 172.64/26.90  | 
% 172.64/26.90  | BETA: splitting (7) gives:
% 172.64/26.90  | 
% 172.64/26.90  | Case 1:
% 172.64/26.90  | | 
% 172.64/26.90  | |   (10)  all_56_6 = e0
% 172.64/26.90  | | 
% 172.64/26.90  | | COMBINE_EQS: (8), (10) imply:
% 172.64/26.90  | |   (11)  all_52_2 = e0
% 172.64/26.90  | | 
% 172.64/26.90  | | REDUCE: (6), (11) imply:
% 172.64/26.90  | |   (12)  $false
% 172.64/26.90  | | 
% 172.64/26.90  | | CLOSE: (12) is inconsistent.
% 172.64/26.90  | | 
% 172.64/26.90  | Case 2:
% 172.64/26.90  | | 
% 172.64/26.90  | |   (13)  all_56_12 = e0
% 172.64/26.90  | | 
% 172.64/26.90  | | COMBINE_EQS: (1), (13) imply:
% 172.64/26.90  | |   (14)  all_52_3 = e0
% 172.64/26.90  | | 
% 172.64/26.90  | | SIMP: (14) implies:
% 172.64/26.90  | |   (15)  all_52_3 = e0
% 172.64/26.90  | | 
% 172.64/26.90  | | REDUCE: (3), (15) imply:
% 172.64/26.90  | |   (16)   ~ (all_52_11 = e0)
% 172.64/26.90  | | 
% 172.64/26.90  | | SIMP: (16) implies:
% 172.64/26.90  | |   (17)   ~ (all_52_11 = e0)
% 172.64/26.90  | | 
% 172.64/26.90  | | BETA: splitting (9) gives:
% 172.64/26.90  | | 
% 172.64/26.90  | | Case 1:
% 172.64/26.90  | | | 
% 172.64/26.90  | | |   (18)  all_56_8 = e0
% 172.64/26.90  | | | 
% 172.64/26.90  | | | REF_CLOSE: (2), (5), (18) are inconsistent by sub-proof #916.
% 172.64/26.90  | | | 
% 172.64/26.90  | | Case 2:
% 172.64/26.90  | | | 
% 172.64/26.90  | | |   (19)  all_56_14 = e0
% 172.64/26.90  | | | 
% 172.64/26.90  | | | REF_CLOSE: (4), (17), (19) are inconsistent by sub-proof #915.
% 172.64/26.90  | | | 
% 172.64/26.90  | | End of split
% 172.64/26.90  | | 
% 172.64/26.90  | End of split
% 172.64/26.90  | 
% 172.64/26.90  End of proof
% 172.64/26.90  
% 172.64/26.90  Sub-proof #383 shows that the following formulas are inconsistent:
% 172.64/26.90  ----------------------------------------------------------------
% 172.64/26.90    (1)   ~ (all_52_12 = all_14_2)
% 172.64/26.90    (2)  all_54_8 = all_52_2
% 172.64/26.90    (3)  all_56_1 = all_52_4
% 172.64/26.90    (4)   ~ (all_6_0 = e0)
% 172.64/26.90    (5)  op(e1, e3) = all_52_2
% 172.64/26.90    (6)   ~ (all_52_8 = all_52_12)
% 172.64/26.90    (7)   ~ (e3 = e1)
% 172.64/26.90    (8)  all_58_23 = all_52_7
% 172.64/26.90    (9)   ~ (all_52_2 = all_6_2)
% 172.64/26.90    (10)   ~ (all_52_4 = all_4_2)
% 172.64/26.90    (11)  all_54_3 = all_52_12
% 172.64/26.90    (12)  op(all_6_2, e3) = all_6_1
% 172.64/26.90    (13)   ~ (all_52_12 = all_6_2)
% 172.64/26.90    (14)   ~ (all_52_6 = all_4_2)
% 172.64/26.90    (15)  op(e2, e1) = e0
% 172.64/26.90    (16)  all_56_15 = all_14_2
% 172.64/26.90    (17)   ~ (all_52_11 = all_14_2)
% 172.64/26.90    (18)  all_54_1 = all_52_4
% 172.64/26.90    (19)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 172.64/26.90    (20)  all_56_14 = all_52_11
% 172.64/26.90    (21)   ~ (all_52_13 = all_4_2)
% 172.64/26.90    (22)  all_56_12 = e0
% 172.64/26.90    (23)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.64/26.90    (24)  all_56_8 = all_10_2
% 172.64/26.90    (25)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.64/26.90    (26)  all_58_26 = all_10_2
% 172.64/26.90    (27)   ~ (all_52_4 = all_52_6)
% 172.64/26.90    (28)  all_58_31 = all_14_2
% 172.64/26.90    (29)   ~ (all_52_11 = all_10_2)
% 172.64/26.90    (30)  all_58_25 = e0
% 172.64/26.90    (31)  op(all_6_1, all_6_2) = all_6_0
% 172.64/26.90    (32)   ~ (all_52_1 = all_6_2)
% 172.64/26.90    (33)  all_54_2 = all_52_8
% 172.64/26.90    (34)  all_56_11 = all_52_14
% 172.64/26.90    (35)   ~ (all_52_6 = all_52_7)
% 172.64/26.90    (36)  all_56_0 = all_6_2
% 172.64/26.90    (37)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.64/26.90    (38)  all_58_30 = all_52_14
% 172.64/26.90    (39)  all_58_27 = all_52_11
% 172.64/26.90    (40)  all_54_14 = all_52_11
% 172.64/26.90    (41)  all_58_17 = all_52_1
% 172.64/26.90    (42)  all_56_9 = all_52_12
% 172.64/26.90    (43)   ~ (all_52_2 = all_52_6)
% 172.64/26.90    (44)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 172.64/26.90    (45)   ~ (e3 = e2)
% 172.64/26.90    (46)   ~ (all_52_4 = all_52_7)
% 172.64/26.90    (47)   ~ (e2 = e1)
% 172.64/26.90    (48)   ~ (all_52_6 = all_10_2)
% 172.64/26.90    (49)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.64/26.90    (50)   ~ (all_52_2 = e0)
% 172.64/26.90    (51)   ~ (all_52_7 = all_14_2)
% 172.64/26.90    (52)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.64/26.90    (53)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.64/26.90    (54)   ~ (all_52_13 = all_14_2)
% 172.64/26.90    (55)   ~ (all_52_1 = all_4_2)
% 172.64/26.90    (56)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.64/26.90    (57)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.64/26.90    (58)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.64/26.90    (59)   ~ (all_52_13 = all_52_14)
% 172.64/26.90    (60)  op(e2, e3) = all_52_1
% 172.64/26.90    (61)  all_58_19 = e0
% 172.64/26.90    (62)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.64/26.90    (63)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.64/26.90    (64)  all_58_16 = all_6_2
% 172.64/26.90    (65)  all_56_13 = all_52_7
% 172.64/26.90    (66)   ~ (all_52_4 = all_6_2)
% 172.64/26.90    (67)  all_56_2 = all_52_1
% 172.64/26.90    (68)   ~ (e3 = e0)
% 172.64/26.90    (69)  all_58_29 = all_52_13
% 172.64/26.90    (70)   ~ (all_52_1 = all_52_2)
% 172.64/26.90    (71)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 172.64/26.90    (72)   ~ (all_52_13 = e0)
% 172.64/26.90    (73)   ~ (all_4_2 = e0)
% 172.64/26.90    (74)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.64/26.90    (75)   ~ (all_6_2 = e0)
% 172.64/26.90    (76)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 172.64/26.90    (77)   ~ (all_52_6 = all_52_14)
% 172.64/26.90    (78)   ~ (all_52_7 = all_4_2)
% 172.64/26.90    (79)   ~ (all_52_8 = all_10_2)
% 172.64/26.90    (80)  all_56_4 = all_52_8
% 172.64/26.90    (81)   ~ (all_52_1 = all_52_13)
% 172.64/26.90    (82)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.64/26.90    (83)  all_58_20 = all_52_4
% 172.64/26.90    (84)  all_54_13 = all_52_7
% 172.64/26.90    (85)  all_54_15 = all_14_2
% 172.64/26.90    (86)   ~ (all_52_7 = all_52_11)
% 172.64/26.90    (87)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 172.64/26.90    (88)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.64/26.90    (89)   ~ (all_52_8 = all_52_11)
% 172.64/26.90    (90)   ~ (all_52_8 = all_6_2)
% 172.64/26.90    (91)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 172.64/26.90    (92)  all_56_6 = all_52_2
% 172.64/26.90    (93)   ~ (all_52_7 = e0)
% 172.64/26.90    (94)  all_58_24 = all_52_8
% 172.64/26.90    (95)   ~ (all_52_12 = all_52_14)
% 172.64/26.90    (96)  all_58_22 = all_52_6
% 172.64/26.90    (97)   ~ (all_52_4 = all_52_12)
% 172.64/26.90    (98)  all_56_3 = all_4_2
% 172.64/26.90    (99)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.64/26.90    (100)  all_54_0 = all_6_2
% 172.64/26.90    (101)   ~ (all_52_14 = all_10_2)
% 172.64/26.90    (102)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 172.64/26.90    (103)   ~ (all_52_11 = e0)
% 172.64/26.90    (104)   ~ (all_52_1 = e0)
% 172.64/26.90    (105)   ~ (all_52_4 = all_52_8)
% 172.64/26.90    (106)   ~ (all_52_14 = all_14_2)
% 172.64/26.90    (107)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/26.90             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/26.90    (108)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 172.64/26.90    (109)  all_58_21 = all_4_2
% 172.64/26.90    (110)  all_56_10 = all_52_13
% 172.64/26.90    (111)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.64/26.90    (112)   ~ (e2 = e0)
% 172.64/26.90    (113)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 172.64/26.90    (114)  all_58_28 = all_52_12
% 172.64/26.90    (115)   ~ (e1 = e0)
% 172.64/26.90    (116)  all_56_5 = e0
% 172.64/26.90    (117)  all_56_7 = all_52_6
% 172.64/26.90    (118)   ~ (all_52_8 = e0)
% 172.64/26.90    (119)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.64/26.90    (120)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.64/26.90           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.64/26.90           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/26.90           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/26.90           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/26.90           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/26.90           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/26.90           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.64/26.90           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.64/26.90           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.64/26.90             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.64/26.90             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.64/26.90             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.64/26.90             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.64/26.90             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.64/26.90             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.64/26.90             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.64/26.90             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.64/26.90             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/26.90             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.64/26.90             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.64/26.90             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/26.90             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.64/26.90             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.64/26.90             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.64/26.90             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.64/26.90           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.64/26.90           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/26.90           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.64/26.90             all_58_30 = e0 & e1 = e0)
% 172.64/26.90    (121)   ~ (all_52_2 = all_10_2)
% 172.64/26.90    (122)  op(e1, e2) = all_52_6
% 172.64/26.90    (123)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.64/26.90    (124)   ~ (all_52_12 = all_52_13)
% 172.64/26.90  
% 172.64/26.90  Begin of proof
% 172.64/26.90  | 
% 172.64/26.90  | BETA: splitting (63) gives:
% 172.64/26.90  | 
% 172.64/26.90  | Case 1:
% 172.64/26.90  | | 
% 172.64/26.90  | |   (125)  all_56_1 = e0
% 172.64/26.90  | | 
% 172.64/26.90  | | COMBINE_EQS: (3), (125) imply:
% 172.64/26.90  | |   (126)  all_52_4 = e0
% 172.64/26.90  | | 
% 172.64/26.90  | | COMBINE_EQS: (83), (126) imply:
% 172.64/26.90  | |   (127)  all_58_20 = e0
% 172.64/26.90  | | 
% 172.64/26.90  | | REDUCE: (46), (126) imply:
% 172.64/26.90  | |   (128)   ~ (all_52_7 = e0)
% 172.64/26.90  | | 
% 172.64/26.90  | | REDUCE: (105), (126) imply:
% 172.64/26.90  | |   (129)   ~ (all_52_8 = e0)
% 172.64/26.90  | | 
% 172.64/26.90  | | REDUCE: (97), (126) imply:
% 172.64/26.90  | |   (130)   ~ (all_52_12 = e0)
% 172.64/26.90  | | 
% 172.64/26.90  | | SIMP: (130) implies:
% 172.64/26.90  | |   (131)   ~ (all_52_12 = e0)
% 172.64/26.90  | | 
% 172.64/26.90  | | REDUCE: (66), (126) imply:
% 172.64/26.90  | |   (132)   ~ (all_6_2 = e0)
% 172.64/26.90  | | 
% 172.64/26.90  | | REDUCE: (10), (126) imply:
% 172.64/26.90  | |   (133)   ~ (all_4_2 = e0)
% 172.64/26.90  | | 
% 172.64/26.90  | | REF_CLOSE: (1), (4), (5), (6), (7), (8), (11), (12), (13), (14), (15), (16),
% 172.64/26.90  | |            (17), (19), (20), (21), (22), (24), (25), (26), (28), (29), (30),
% 172.64/26.90  | |            (31), (33), (34), (35), (36), (37), (38), (39), (41), (42), (43),
% 172.64/26.90  | |            (48), (49), (51), (52), (53), (54), (56), (59), (61), (64), (65),
% 172.64/26.90  | |            (67), (68), (69), (71), (72), (73), (74), (75), (77), (79), (80),
% 172.64/26.90  | |            (82), (83), (85), (87), (88), (89), (90), (92), (93), (94), (95),
% 172.64/26.90  | |            (96), (98), (99), (100), (102), (103), (105), (106), (107),
% 172.64/26.90  | |            (108), (109), (110), (112), (114), (115), (117), (118), (119),
% 172.64/26.90  | |            (120), (124), (125), (127), (131) are inconsistent by sub-proof
% 172.64/26.90  | |            #736.
% 172.64/26.90  | | 
% 172.64/26.90  | Case 2:
% 172.64/26.90  | | 
% 172.64/26.90  | |   (134)   ~ (all_56_1 = e0)
% 172.64/26.90  | |   (135)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.64/26.90  | | 
% 172.64/26.90  | | REDUCE: (3), (134) imply:
% 172.64/26.90  | |   (136)   ~ (all_52_4 = e0)
% 172.64/26.90  | | 
% 172.64/26.90  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13),
% 172.64/26.90  | |            (14), (15), (16), (18), (22), (23), (25), (26), (27), (28), (29),
% 172.64/26.90  | |            (30), (31), (32), (34), (35), (36), (37), (38), (39), (40), (42),
% 172.64/26.90  | |            (44), (45), (47), (50), (51), (52), (53), (55), (56), (57), (58),
% 172.64/26.90  | |            (59), (60), (62), (65), (66), (67), (68), (69), (70), (73), (74),
% 172.64/26.90  | |            (75), (76), (77), (78), (80), (81), (83), (84), (86), (88), (89),
% 172.64/26.90  | |            (90), (91), (92), (93), (94), (96), (98), (100), (101), (103),
% 172.64/26.90  | |            (104), (105), (107), (109), (110), (111), (112), (113), (114),
% 172.64/26.90  | |            (115), (116), (117), (118), (121), (122), (123), (135), (136) are
% 172.64/26.90  | |            inconsistent by sub-proof #669.
% 172.64/26.90  | | 
% 172.64/26.90  | End of split
% 172.64/26.90  | 
% 172.64/26.90  End of proof
% 172.64/26.90  
% 172.64/26.90  Sub-proof #384 shows that the following formulas are inconsistent:
% 172.64/26.90  ----------------------------------------------------------------
% 172.64/26.90    (1)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 172.64/26.90    (2)  all_56_12 = all_52_3
% 172.64/26.90    (3)   ~ (e3 = e1)
% 172.64/26.90    (4)  all_58_23 = all_52_7
% 172.64/26.90    (5)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.64/26.90    (6)  all_56_5 = all_52_9
% 172.64/26.90    (7)   ~ (all_52_3 = all_52_11)
% 172.64/26.90    (8)   ~ (all_52_12 = all_6_2)
% 172.64/26.90    (9)   ~ (all_52_6 = all_4_2)
% 172.64/26.90    (10)  all_56_15 = all_14_2
% 172.64/26.90    (11)  op(all_10_2, e1) = all_10_1
% 172.64/26.90    (12)   ~ (all_52_9 = all_4_2)
% 172.64/26.90    (13)  all_54_6 = all_52_9
% 172.64/26.90    (14)  all_56_14 = all_52_11
% 172.64/26.90    (15)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 172.64/26.90    (16)   ~ (all_52_13 = all_4_2)
% 172.64/26.90    (17)  all_56_8 = all_10_2
% 172.64/26.90    (18)  op(e2, all_52_1) = all_58_4
% 172.64/26.90    (19)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.64/26.90    (20)  all_58_26 = all_10_2
% 172.64/26.90    (21)  all_58_31 = all_14_2
% 172.64/26.90    (22)   ~ (all_52_9 = all_52_13)
% 172.64/26.90    (23)  all_58_18 = e0
% 172.64/26.90    (24)   ~ (all_52_1 = all_6_2)
% 172.64/26.90    (25)  all_56_11 = all_52_14
% 172.64/26.90    (26)  op(e2, e1) = all_52_9
% 172.64/26.90    (27)   ~ (all_4_1 = e0)
% 172.64/26.90    (28)  all_56_0 = all_6_2
% 172.64/26.90    (29)   ~ (all_52_9 = all_10_2)
% 172.64/26.90    (30)  all_58_30 = all_52_14
% 172.64/26.90    (31)  op(all_4_2, e2) = all_4_1
% 172.64/26.90    (32)  all_58_17 = all_52_1
% 172.64/26.90    (33)  all_58_20 = e0
% 172.64/26.90    (34)  all_58_19 = all_52_3
% 172.64/26.90    (35)  all_56_9 = all_52_12
% 172.64/26.90    (36)   ~ (e3 = e2)
% 172.64/26.90    (37)   ~ (e2 = e1)
% 172.64/26.90    (38)   ~ (all_52_6 = all_10_2)
% 172.64/26.90    (39)  all_56_1 = e0
% 172.64/26.90    (40)   ~ (all_52_13 = all_14_2)
% 172.64/26.90    (41)   ~ (all_52_1 = all_4_2)
% 172.64/26.90    (42)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.64/26.90    (43)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.64/26.90    (44)   ~ (all_52_13 = all_52_14)
% 172.64/26.90    (45)  all_38_1 = all_10_1
% 172.64/26.90    (46)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.64/26.90    (47)  all_58_16 = all_6_2
% 172.64/26.90    (48)  all_56_13 = all_52_7
% 172.64/26.90    (49)  all_56_2 = all_52_1
% 172.64/26.90    (50)   ~ (e3 = e0)
% 172.64/26.90    (51)  all_58_29 = all_52_13
% 172.64/26.90    (52)  op(e3, e2) = e0
% 172.64/26.90    (53)   ~ (all_4_2 = e0)
% 172.64/26.90    (54)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.64/26.90    (55)   ~ (all_6_2 = e0)
% 172.64/26.90    (56)   ~ (all_52_6 = all_52_14)
% 172.64/26.90    (57)  all_56_4 = all_52_8
% 172.64/26.90    (58)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.64/26.90    (59)   ~ (all_52_1 = all_52_13)
% 172.64/26.90    (60)  all_38_2 = all_10_2
% 172.64/26.90    (61)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.64/26.90    (62)   ~ (all_52_7 = all_52_11)
% 172.64/26.90    (63)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.64/26.90    (64)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 172.64/26.90    (65)   ~ (all_52_8 = all_6_2)
% 172.64/26.90    (66)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 172.64/26.90    (67)   ~ (all_52_1 = all_52_9)
% 172.64/26.90    (68)  all_56_6 = e0
% 172.64/26.90    (69)   ~ (all_52_7 = e0)
% 172.64/26.90    (70)   ~ (all_52_12 = all_52_14)
% 172.64/26.90    (71)   ~ (all_52_9 = all_52_11)
% 172.64/26.90    (72)  all_58_22 = all_52_6
% 172.64/26.90    (73)   ~ (all_38_1 = e3) |  ~ (all_38_2 = e2)
% 172.64/26.90    (74)  all_56_3 = all_4_2
% 172.64/26.90    (75)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.64/26.90    (76)   ~ (all_52_1 = e0)
% 172.64/26.90    (77)   ~ (all_52_14 = all_14_2)
% 172.64/26.90    (78)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/26.90            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/26.90    (79)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 172.64/26.90    (80)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 172.64/26.90    (81)  all_58_21 = all_4_2
% 172.64/26.90    (82)  all_56_10 = all_52_13
% 172.64/26.90    (83)   ~ (all_52_3 = e0)
% 172.64/26.90    (84)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.64/26.90    (85)   ~ (e2 = e0)
% 172.64/26.90    (86)  all_58_28 = all_52_12
% 172.64/26.90    (87)   ~ (e1 = e0)
% 172.64/26.90    (88)  all_54_4 = all_52_1
% 172.64/26.90    (89)  all_56_7 = all_52_6
% 172.64/26.90    (90)  all_54_5 = all_4_2
% 172.64/26.90    (91)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.64/26.90    (92)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.64/26.90          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.64/26.90          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/26.90          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/26.90          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/26.90          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/26.90          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/26.90          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.64/26.90          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.64/26.90          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.64/26.90            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.64/26.90            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.64/26.90            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.64/26.90            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.64/26.90            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.64/26.90            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.64/26.90            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.64/26.90            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.64/26.90            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/26.90            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.64/26.90            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.64/26.90            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/26.90            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.64/26.90            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.64/26.90            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.64/26.90            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.64/26.90          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.64/26.90          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/26.90          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.64/26.90            all_58_30 = e0 & e1 = e0)
% 172.64/26.90    (93)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.64/26.90    (94)   ~ (all_52_12 = all_52_13)
% 172.64/26.90  
% 172.64/26.90  Begin of proof
% 172.64/26.90  | 
% 172.64/26.90  | BETA: splitting (1) gives:
% 172.64/26.90  | 
% 172.64/26.90  | Case 1:
% 172.64/26.90  | | 
% 172.64/26.90  | |   (95)  all_56_12 = e0
% 172.64/26.90  | | 
% 172.64/26.90  | | REF_CLOSE: (2), (83), (95) are inconsistent by sub-proof #919.
% 172.64/26.90  | | 
% 172.64/26.90  | Case 2:
% 172.64/26.90  | | 
% 172.64/26.90  | |   (96)  all_56_13 = e0 | all_56_14 = e0
% 172.64/26.90  | | 
% 172.64/26.90  | | BETA: splitting (96) gives:
% 172.64/26.90  | | 
% 172.64/26.90  | | Case 1:
% 172.64/26.90  | | | 
% 172.64/26.90  | | |   (97)  all_56_13 = e0
% 172.64/26.90  | | | 
% 172.64/26.90  | | | REF_CLOSE: (48), (69), (97) are inconsistent by sub-proof #942.
% 172.64/26.90  | | | 
% 172.64/26.90  | | Case 2:
% 172.64/26.90  | | | 
% 172.64/26.90  | | |   (98)  all_56_14 = e0
% 172.64/26.90  | | | 
% 172.64/26.90  | | | COMBINE_EQS: (14), (98) imply:
% 172.64/26.90  | | |   (99)  all_52_11 = e0
% 172.64/26.90  | | | 
% 172.64/26.90  | | | SIMP: (99) implies:
% 172.64/26.90  | | |   (100)  all_52_11 = e0
% 172.64/26.90  | | | 
% 172.64/26.90  | | | REDUCE: (71), (100) imply:
% 172.64/26.90  | | |   (101)   ~ (all_52_9 = e0)
% 172.64/26.90  | | | 
% 172.64/26.90  | | | BETA: splitting (58) gives:
% 172.64/26.90  | | | 
% 172.64/26.90  | | | Case 1:
% 172.64/26.90  | | | | 
% 172.64/26.90  | | | |   (102)  all_56_2 = e0
% 172.64/26.90  | | | | 
% 172.64/26.90  | | | | COMBINE_EQS: (49), (102) imply:
% 172.64/26.90  | | | |   (103)  all_52_1 = e0
% 172.64/26.90  | | | | 
% 172.64/26.90  | | | | REDUCE: (76), (103) imply:
% 172.64/26.90  | | | |   (104)  $false
% 172.64/26.90  | | | | 
% 172.64/26.90  | | | | CLOSE: (104) is inconsistent.
% 172.64/26.90  | | | | 
% 172.64/26.90  | | | Case 2:
% 172.64/26.90  | | | | 
% 172.64/26.90  | | | |   (105)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.64/26.90  | | | | 
% 172.64/26.90  | | | | BETA: splitting (105) gives:
% 172.64/26.90  | | | | 
% 172.64/26.90  | | | | Case 1:
% 172.64/26.90  | | | | | 
% 172.64/26.90  | | | | |   (106)  all_56_3 = e0
% 172.64/26.90  | | | | | 
% 172.64/26.90  | | | | | COMBINE_EQS: (74), (106) imply:
% 172.64/26.90  | | | | |   (107)  all_4_2 = e0
% 172.64/26.90  | | | | | 
% 172.64/26.90  | | | | | REDUCE: (53), (107) imply:
% 172.64/26.90  | | | | |   (108)  $false
% 172.64/26.90  | | | | | 
% 172.64/26.90  | | | | | CLOSE: (108) is inconsistent.
% 172.64/26.90  | | | | | 
% 172.64/26.90  | | | | Case 2:
% 172.64/26.90  | | | | | 
% 172.64/26.90  | | | | |   (109)  all_56_5 = e0 | all_56_10 = e0
% 172.64/26.90  | | | | | 
% 172.64/26.90  | | | | | BETA: splitting (109) gives:
% 172.64/26.90  | | | | | 
% 172.64/26.90  | | | | | Case 1:
% 172.64/26.90  | | | | | | 
% 172.64/26.90  | | | | | |   (110)  all_56_5 = e0
% 172.64/26.90  | | | | | | 
% 172.64/26.90  | | | | | | COMBINE_EQS: (6), (110) imply:
% 172.64/26.90  | | | | | |   (111)  all_52_9 = e0
% 172.64/26.90  | | | | | | 
% 172.64/26.90  | | | | | | REDUCE: (101), (111) imply:
% 172.64/26.90  | | | | | |   (112)  $false
% 172.64/26.90  | | | | | | 
% 172.64/26.90  | | | | | | CLOSE: (112) is inconsistent.
% 172.64/26.90  | | | | | | 
% 172.64/26.90  | | | | | Case 2:
% 172.64/26.90  | | | | | | 
% 172.64/26.90  | | | | | |   (113)  all_56_10 = e0
% 172.64/26.90  | | | | | | 
% 172.64/26.90  | | | | | | COMBINE_EQS: (82), (113) imply:
% 172.64/26.90  | | | | | |   (114)  all_52_13 = e0
% 172.64/26.90  | | | | | | 
% 172.64/26.90  | | | | | | SIMP: (114) implies:
% 172.64/26.90  | | | | | |   (115)  all_52_13 = e0
% 172.64/26.90  | | | | | | 
% 172.64/26.90  | | | | | | COMBINE_EQS: (51), (115) imply:
% 172.64/26.90  | | | | | |   (116)  all_58_29 = e0
% 172.64/26.90  | | | | | | 
% 172.64/26.90  | | | | | | REDUCE: (94), (115) imply:
% 172.64/26.90  | | | | | |   (117)   ~ (all_52_12 = e0)
% 172.64/26.90  | | | | | | 
% 172.64/26.90  | | | | | | REDUCE: (44), (115) imply:
% 172.64/26.90  | | | | | |   (118)   ~ (all_52_14 = e0)
% 172.64/26.90  | | | | | | 
% 172.64/26.90  | | | | | | SIMP: (118) implies:
% 172.64/26.90  | | | | | |   (119)   ~ (all_52_14 = e0)
% 172.64/26.90  | | | | | | 
% 172.64/26.90  | | | | | | REDUCE: (40), (115) imply:
% 172.64/26.90  | | | | | |   (120)   ~ (all_14_2 = e0)
% 172.64/26.90  | | | | | | 
% 172.64/26.90  | | | | | | SIMP: (120) implies:
% 172.64/26.90  | | | | | |   (121)   ~ (all_14_2 = e0)
% 172.64/26.90  | | | | | | 
% 172.64/26.90  | | | | | | BETA: splitting (63) gives:
% 172.64/26.90  | | | | | | 
% 172.64/26.90  | | | | | | Case 1:
% 172.64/26.90  | | | | | | | 
% 172.64/26.90  | | | | | | |   (122)  all_58_23 = e0
% 172.64/26.90  | | | | | | | 
% 172.64/26.90  | | | | | | | COMBINE_EQS: (4), (122) imply:
% 172.64/26.90  | | | | | | |   (123)  all_52_7 = e0
% 172.64/26.90  | | | | | | | 
% 172.64/26.90  | | | | | | | REDUCE: (69), (123) imply:
% 172.64/26.90  | | | | | | |   (124)  $false
% 172.64/26.90  | | | | | | | 
% 172.64/26.90  | | | | | | | CLOSE: (124) is inconsistent.
% 172.64/26.90  | | | | | | | 
% 172.64/26.90  | | | | | | Case 2:
% 172.64/26.90  | | | | | | | 
% 172.64/26.90  | | | | | | |   (125)   ~ (all_58_23 = e0)
% 172.64/26.90  | | | | | | |   (126)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.64/26.90  | | | | | | | 
% 172.64/26.90  | | | | | | | BETA: splitting (5) gives:
% 172.64/26.90  | | | | | | | 
% 172.64/26.90  | | | | | | | Case 1:
% 172.64/26.90  | | | | | | | | 
% 172.64/26.90  | | | | | | | |   (127)  all_58_19 = e0
% 172.64/26.90  | | | | | | | | 
% 172.64/26.90  | | | | | | | | COMBINE_EQS: (34), (127) imply:
% 172.64/26.90  | | | | | | | |   (128)  all_52_3 = e0
% 172.64/26.90  | | | | | | | | 
% 172.64/26.90  | | | | | | | | REDUCE: (83), (128) imply:
% 172.64/26.90  | | | | | | | |   (129)  $false
% 172.64/26.90  | | | | | | | | 
% 172.64/26.90  | | | | | | | | CLOSE: (129) is inconsistent.
% 172.64/26.91  | | | | | | | | 
% 172.64/26.91  | | | | | | | Case 2:
% 172.64/26.91  | | | | | | | | 
% 172.64/26.91  | | | | | | | |   (130)   ~ (all_58_19 = e0)
% 172.64/26.91  | | | | | | | |   (131)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.64/26.91  | | | | | | | | 
% 172.64/26.91  | | | | | | | | BETA: splitting (19) gives:
% 172.64/26.91  | | | | | | | | 
% 172.64/26.91  | | | | | | | | Case 1:
% 172.64/26.91  | | | | | | | | | 
% 172.64/26.91  | | | | | | | | |   (132)  all_58_31 = e0
% 172.64/26.91  | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | COMBINE_EQS: (21), (132) imply:
% 172.64/26.91  | | | | | | | | |   (133)  all_14_2 = e0
% 172.64/26.91  | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | REDUCE: (121), (133) imply:
% 172.64/26.91  | | | | | | | | |   (134)  $false
% 172.64/26.91  | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | CLOSE: (134) is inconsistent.
% 172.64/26.91  | | | | | | | | | 
% 172.64/26.91  | | | | | | | | Case 2:
% 172.64/26.91  | | | | | | | | | 
% 172.64/26.91  | | | | | | | | |   (135)   ~ (all_58_31 = e0)
% 172.64/26.91  | | | | | | | | |   (136)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.64/26.91  | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | BETA: splitting (91) gives:
% 172.64/26.91  | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | Case 1:
% 172.64/26.91  | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | |   (137)  all_56_12 = e1
% 172.64/26.91  | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | REF_CLOSE: (4), (5), (9), (23), (24), (27), (28), (31), (32),
% 172.64/26.91  | | | | | | | | | |            (33), (34), (36), (37), (41), (46), (47), (49),
% 172.64/26.91  | | | | | | | | | |            (50), (52), (63), (68), (69), (72), (74), (78),
% 172.64/26.91  | | | | | | | | | |            (80), (81), (83), (85), (87), (90), (93), (137)
% 172.64/26.91  | | | | | | | | | |            are inconsistent by sub-proof #904.
% 172.64/26.91  | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | Case 2:
% 172.64/26.91  | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | |   (138)   ~ (all_56_12 = e1)
% 172.64/26.91  | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | REDUCE: (2), (138) imply:
% 172.64/26.91  | | | | | | | | | |   (139)   ~ (all_52_3 = e1)
% 172.64/26.91  | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | BETA: splitting (42) gives:
% 172.64/26.91  | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | Case 1:
% 172.64/26.91  | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | |   (140)  all_56_0 = e1
% 172.64/26.91  | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | REF_CLOSE: (3), (6), (12), (17), (20), (21), (23), (27),
% 172.64/26.91  | | | | | | | | | | |            (28), (31), (32), (33), (36), (38), (41), (47),
% 172.64/26.91  | | | | | | | | | | |            (49), (50), (52), (55), (57), (61), (65), (72),
% 172.64/26.91  | | | | | | | | | | |            (74), (78), (80), (81), (90), (92), (93), (98),
% 172.64/26.91  | | | | | | | | | | |            (121), (126), (131), (140) are inconsistent by
% 172.64/26.91  | | | | | | | | | | |            sub-proof #399.
% 172.64/26.91  | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | Case 2:
% 172.64/26.91  | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | |   (141)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.64/26.91  | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | BETA: splitting (141) gives:
% 172.64/26.91  | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | Case 1:
% 172.64/26.91  | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | |   (142)  all_56_2 = e1
% 172.64/26.91  | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | COMBINE_EQS: (49), (142) imply:
% 172.64/26.91  | | | | | | | | | | | |   (143)  all_52_1 = e1
% 172.64/26.91  | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | COMBINE_EQS: (32), (143) imply:
% 172.64/26.91  | | | | | | | | | | | |   (144)  all_58_17 = e1
% 172.64/26.91  | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | REDUCE: (24), (143) imply:
% 172.64/26.91  | | | | | | | | | | | |   (145)   ~ (all_6_2 = e1)
% 172.64/26.91  | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | SIMP: (145) implies:
% 172.64/26.91  | | | | | | | | | | | |   (146)   ~ (all_6_2 = e1)
% 172.64/26.91  | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | BETA: splitting (131) gives:
% 172.64/26.91  | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | Case 1:
% 172.64/26.91  | | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | |   (147)  all_58_18 = e1
% 172.64/26.91  | | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | | REF_CLOSE: (23), (87), (147) are inconsistent by sub-proof
% 172.64/26.91  | | | | | | | | | | | | |            #888.
% 172.64/26.91  | | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | Case 2:
% 172.64/26.91  | | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | |   (148)  all_58_16 = e3 | all_58_17 = e2
% 172.64/26.91  | | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | | BETA: splitting (148) gives:
% 172.64/26.91  | | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | | Case 1:
% 172.64/26.91  | | | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | | |   (149)  all_58_17 = e2
% 172.64/26.91  | | | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | | | REF_CLOSE: (37), (144), (149) are inconsistent by sub-proof
% 172.64/26.91  | | | | | | | | | | | | | |            #466.
% 172.64/26.91  | | | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | | Case 2:
% 172.64/26.91  | | | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | | |   (150)  all_58_16 = e3
% 172.64/26.91  | | | | | | | | | | | | | |   (151)   ~ (all_58_17 = e2)
% 172.64/26.91  | | | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | | | COMBINE_EQS: (47), (150) imply:
% 172.64/26.91  | | | | | | | | | | | | | |   (152)  all_6_2 = e3
% 172.64/26.91  | | | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | | | REDUCE: (144), (151) imply:
% 172.64/26.91  | | | | | | | | | | | | | |   (153)   ~ (e2 = e1)
% 172.64/26.91  | | | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | | | REDUCE: (8), (152) imply:
% 172.64/26.91  | | | | | | | | | | | | | |   (154)   ~ (all_52_12 = e3)
% 172.64/26.91  | | | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | | | BETA: splitting (136) gives:
% 172.64/26.91  | | | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | | | Case 1:
% 172.64/26.91  | | | | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | | | |   (155)  all_58_30 = e1
% 172.64/26.91  | | | | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | | | | COMBINE_EQS: (30), (155) imply:
% 172.64/26.91  | | | | | | | | | | | | | | |   (156)  all_52_14 = e1
% 172.64/26.91  | | | | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | | | | REDUCE: (77), (156) imply:
% 172.64/26.91  | | | | | | | | | | | | | | |   (157)   ~ (all_14_2 = e1)
% 172.64/26.91  | | | | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | | | | SIMP: (157) implies:
% 172.64/26.91  | | | | | | | | | | | | | | |   (158)   ~ (all_14_2 = e1)
% 172.64/26.91  | | | | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (6), (9), (10), (11), (13), (15),
% 172.64/26.91  | | | | | | | | | | | | | | |            (16), (17), (18), (19), (21), (22), (23), (24),
% 172.64/26.91  | | | | | | | | | | | | | | |            (25), (26), (28), (29), (30), (32), (33), (34),
% 172.64/26.91  | | | | | | | | | | | | | | |            (35), (37), (39), (40), (41), (43), (44), (45),
% 172.64/26.91  | | | | | | | | | | | | | | |            (47), (49), (50), (51), (54), (56), (59), (60),
% 172.64/26.91  | | | | | | | | | | | | | | |            (63), (64), (66), (67), (68), (69), (70), (72),
% 172.64/26.91  | | | | | | | | | | | | | | |            (73), (75), (78), (79), (81), (82), (83), (84),
% 172.64/26.91  | | | | | | | | | | | | | | |            (85), (86), (87), (88), (89), (117), (119), (158)
% 172.64/26.91  | | | | | | | | | | | | | | |            are inconsistent by sub-proof #473.
% 172.64/26.91  | | | | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | | | Case 2:
% 172.64/26.91  | | | | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | | | |   (159)  all_58_28 = e3 | all_58_29 = e2
% 172.64/26.91  | | | | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | | | | REF_CLOSE: (85), (86), (116), (154), (159) are inconsistent
% 172.64/26.91  | | | | | | | | | | | | | | |            by sub-proof #869.
% 172.64/26.91  | | | | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | | | End of split
% 172.64/26.91  | | | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | | End of split
% 172.64/26.91  | | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | End of split
% 172.64/26.91  | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | Case 2:
% 172.64/26.91  | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | |   (160)  all_56_6 = e1 | all_56_12 = e1
% 172.64/26.91  | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | | REF_CLOSE: (2), (68), (87), (139), (160) are inconsistent by
% 172.64/26.91  | | | | | | | | | | | |            sub-proof #933.
% 172.64/26.91  | | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | | End of split
% 172.64/26.91  | | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | | End of split
% 172.64/26.91  | | | | | | | | | | 
% 172.64/26.91  | | | | | | | | | End of split
% 172.64/26.91  | | | | | | | | | 
% 172.64/26.91  | | | | | | | | End of split
% 172.64/26.91  | | | | | | | | 
% 172.64/26.91  | | | | | | | End of split
% 172.64/26.91  | | | | | | | 
% 172.64/26.91  | | | | | | End of split
% 172.64/26.91  | | | | | | 
% 172.64/26.91  | | | | | End of split
% 172.64/26.91  | | | | | 
% 172.64/26.91  | | | | End of split
% 172.64/26.91  | | | | 
% 172.64/26.91  | | | End of split
% 172.64/26.91  | | | 
% 172.64/26.91  | | End of split
% 172.64/26.91  | | 
% 172.64/26.91  | End of split
% 172.64/26.91  | 
% 172.64/26.91  End of proof
% 172.64/26.91  
% 172.64/26.91  Sub-proof #385 shows that the following formulas are inconsistent:
% 172.64/26.91  ----------------------------------------------------------------
% 172.64/26.91    (1)  all_54_8 = all_52_2
% 172.64/26.91    (2)  all_56_1 = all_52_4
% 172.64/26.91    (3)   ~ (all_6_0 = e0)
% 172.64/26.91    (4)  op(e1, e3) = all_52_2
% 172.64/26.91    (5)   ~ (all_10_2 = e0)
% 172.64/26.91    (6)   ~ (e3 = e1)
% 172.64/26.91    (7)  all_58_23 = all_52_7
% 172.64/26.91    (8)   ~ (all_52_2 = all_6_2)
% 172.64/26.91    (9)   ~ (all_52_4 = all_4_2)
% 172.64/26.91    (10)  all_56_5 = all_52_9
% 172.64/26.91    (11)  op(all_6_2, e3) = all_6_1
% 172.64/26.91    (12)   ~ (all_52_12 = all_6_2)
% 172.64/26.91    (13)  all_56_10 = e0
% 172.64/26.91    (14)  all_54_1 = all_52_4
% 172.64/26.91    (15)   ~ (all_14_2 = e0)
% 172.64/26.91    (16)   ~ (all_52_9 = all_4_2)
% 172.64/26.91    (17)  all_56_14 = all_52_11
% 172.64/26.91    (18)  all_56_12 = e0
% 172.64/26.91    (19)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.64/26.91    (20)  all_56_8 = all_10_2
% 172.64/26.91    (21)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.64/26.91    (22)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 172.64/26.91    (23)  all_58_26 = all_10_2
% 172.64/26.91    (24)  all_58_31 = all_14_2
% 172.64/26.91    (25)   ~ (all_52_11 = all_10_2)
% 172.64/26.91    (26)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.64/26.91    (27)   ~ (all_52_4 = e0)
% 172.64/26.91    (28)  op(all_6_1, all_6_2) = all_6_0
% 172.64/26.91    (29)   ~ (all_52_1 = all_6_2)
% 172.64/26.91    (30)  all_56_11 = all_52_14
% 172.64/26.91    (31)  op(e2, e1) = all_52_9
% 172.64/26.91    (32)  all_56_0 = all_6_2
% 172.64/26.91    (33)   ~ (all_52_9 = all_10_2)
% 172.64/26.91    (34)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.64/26.91    (35)  all_58_30 = all_52_14
% 172.64/26.91    (36)  all_58_27 = all_52_11
% 172.64/26.91    (37)  all_54_14 = all_52_11
% 172.64/26.91    (38)  all_56_9 = all_52_12
% 172.64/26.91    (39)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 172.64/26.91    (40)  all_58_22 = e0
% 172.64/26.91    (41)  all_56_4 = e0
% 172.64/26.91    (42)   ~ (e3 = e2)
% 172.64/26.91    (43)   ~ (all_52_4 = all_52_7)
% 172.64/26.91    (44)   ~ (e2 = e1)
% 172.64/26.91    (45)   ~ (all_52_2 = e0)
% 172.64/26.91    (46)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.64/26.91    (47)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.64/26.91    (48)  op(e1, e2) = e0
% 172.64/26.91    (49)   ~ (all_52_1 = all_4_2)
% 172.64/26.91    (50)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.64/26.91    (51)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.64/26.91    (52)  op(e2, e3) = all_52_1
% 172.64/26.91    (53)  all_58_19 = e0
% 172.64/26.91    (54)  all_58_18 = all_52_2
% 172.64/26.91    (55)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.64/26.91    (56)  all_58_16 = all_6_2
% 172.64/26.91    (57)  all_56_13 = all_52_7
% 172.64/26.91    (58)   ~ (all_52_12 = e0)
% 172.64/26.91    (59)   ~ (all_52_4 = all_6_2)
% 172.64/26.91    (60)  all_56_2 = all_52_1
% 172.64/26.91    (61)   ~ (e3 = e0)
% 172.64/26.91    (62)   ~ (all_52_1 = all_52_2)
% 172.64/26.91    (63)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 172.64/26.91    (64)  all_56_7 = e0
% 172.64/26.91    (65)   ~ (all_4_2 = e0)
% 172.64/26.91    (66)   ~ (all_6_2 = e0)
% 172.64/26.91    (67)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 172.64/26.91    (68)   ~ (all_52_7 = all_4_2)
% 172.64/26.91    (69)  all_56_4 = all_52_8
% 172.64/26.91    (70)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.64/26.91    (71)  all_58_20 = all_52_4
% 172.64/26.91    (72)  all_54_13 = all_52_7
% 172.64/26.91    (73)   ~ (all_52_7 = all_52_11)
% 172.64/26.91    (74)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.64/26.91    (75)  all_56_6 = all_52_2
% 172.64/26.91    (76)   ~ (all_52_1 = all_52_9)
% 172.64/26.91    (77)   ~ (all_52_7 = e0)
% 172.64/26.91    (78)  all_58_24 = all_52_8
% 172.64/26.91    (79)   ~ (all_52_4 = all_52_12)
% 172.64/26.91    (80)  all_56_3 = all_4_2
% 172.64/26.91    (81)  all_54_0 = all_6_2
% 172.64/26.91    (82)  all_58_29 = e0
% 172.64/26.91    (83)   ~ (all_52_14 = all_10_2)
% 172.64/26.91    (84)  all_58_24 = e0
% 172.64/26.91    (85)   ~ (all_52_11 = e0)
% 172.64/26.91    (86)   ~ (all_52_1 = e0)
% 172.64/26.91    (87)  all_58_25 = all_52_9
% 172.64/26.91    (88)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/26.91            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/26.91    (89)   ~ (all_6_1 = e0)
% 172.64/26.91    (90)   ~ (all_52_2 = all_52_14)
% 172.64/26.91    (91)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 172.64/26.91    (92)  all_58_21 = all_4_2
% 172.64/26.91    (93)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.64/26.91    (94)   ~ (e2 = e0)
% 172.64/26.91    (95)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 172.64/26.91    (96)   ~ (all_52_14 = e0)
% 172.64/26.91    (97)  all_58_28 = all_52_12
% 172.64/26.91    (98)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.64/26.91    (99)   ~ (e1 = e0)
% 172.64/26.91    (100)  all_54_4 = all_52_1
% 172.64/26.91    (101)  all_54_5 = all_4_2
% 172.64/26.91    (102)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 172.64/26.91    (103)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.64/26.91           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.64/26.91           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/26.91           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/26.91           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/26.91           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/26.91           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/26.91           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.64/26.91           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.64/26.91           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.64/26.91             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.64/26.91             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.64/26.91             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.64/26.91             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.64/26.91             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.64/26.91             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.64/26.91             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.64/26.91             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.64/26.91             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/26.91             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.64/26.91             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.64/26.91             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/26.91             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.64/26.91             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.64/26.91             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.64/26.91             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.64/26.91           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.64/26.91           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/26.91           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.64/26.91             all_58_30 = e0 & e1 = e0)
% 172.64/26.91    (104)   ~ (all_52_2 = all_10_2)
% 172.64/26.91  
% 172.64/26.91  Begin of proof
% 172.64/26.91  | 
% 172.64/26.91  | BETA: splitting (67) gives:
% 172.64/26.91  | 
% 172.64/26.91  | Case 1:
% 172.64/26.91  | | 
% 172.64/26.91  | |   (105)  all_54_8 = e0
% 172.64/26.91  | | 
% 172.64/26.91  | | COMBINE_EQS: (1), (105) imply:
% 172.64/26.91  | |   (106)  all_52_2 = e0
% 172.64/26.91  | | 
% 172.64/26.91  | | REDUCE: (45), (106) imply:
% 172.64/26.91  | |   (107)  $false
% 172.64/26.91  | | 
% 172.64/26.91  | | CLOSE: (107) is inconsistent.
% 172.64/26.91  | | 
% 172.64/26.91  | Case 2:
% 172.64/26.91  | | 
% 172.64/26.91  | |   (108)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 172.64/26.91  | | 
% 172.64/26.91  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 172.64/26.91  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 172.64/26.91  | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 172.64/26.91  | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (44), (46),
% 172.64/26.91  | |            (47), (48), (49), (50), (51), (52), (53), (54), (55), (56), (57),
% 172.64/26.91  | |            (58), (59), (60), (61), (62), (63), (64), (65), (66), (68), (69),
% 172.64/26.91  | |            (70), (71), (72), (73), (74), (75), (76), (77), (78), (79), (80),
% 172.64/26.91  | |            (81), (82), (83), (84), (85), (86), (87), (88), (89), (90), (91),
% 172.64/26.91  | |            (92), (93), (94), (95), (96), (97), (98), (99), (100), (101),
% 172.64/26.91  | |            (102), (103), (104), (108) are inconsistent by sub-proof #765.
% 172.64/26.91  | | 
% 172.64/26.91  | End of split
% 172.64/26.91  | 
% 172.64/26.91  End of proof
% 172.64/26.91  
% 172.64/26.91  Sub-proof #386 shows that the following formulas are inconsistent:
% 172.64/26.91  ----------------------------------------------------------------
% 172.64/26.91    (1)   ~ (all_52_12 = all_14_2)
% 172.64/26.91    (2)  all_56_1 = all_52_4
% 172.64/26.91    (3)  op(e1, e3) = all_52_2
% 172.64/26.91    (4)   ~ (all_52_8 = all_52_12)
% 172.64/26.91    (5)  all_58_23 = all_52_7
% 172.64/26.91    (6)   ~ (all_52_4 = all_4_2)
% 172.64/26.91    (7)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.64/26.91    (8)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.64/26.91    (9)  all_56_5 = all_52_9
% 172.64/26.91    (10)  op(all_6_2, e3) = all_6_1
% 172.64/26.91    (11)   ~ (all_52_12 = all_6_2)
% 172.64/26.91    (12)   ~ (all_52_6 = all_4_2)
% 172.64/26.91    (13)  op(e3, all_6_2) = all_58_0
% 172.64/26.91    (14)  op(e1, e0) = all_52_14
% 172.64/26.91    (15)  all_56_15 = all_14_2
% 172.64/26.91    (16)  op(e3, all_52_4) = all_58_1
% 172.64/26.91    (17)  all_54_1 = all_52_4
% 172.64/26.91    (18)  op(all_10_2, e1) = all_10_1
% 172.64/26.91    (19)   ~ (all_52_9 = all_4_2)
% 172.64/26.91    (20)   ~ (all_52_3 = all_52_7)
% 172.64/26.91    (21)  all_56_14 = all_52_11
% 172.64/26.91    (22)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 172.64/26.91    (23)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.64/26.91    (24)  all_56_8 = all_10_2
% 172.64/26.91    (25)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.64/26.91    (26)  all_58_26 = all_10_2
% 172.64/26.91    (27)   ~ (all_52_4 = all_52_6)
% 172.64/26.91    (28)  all_58_31 = all_14_2
% 172.64/26.91    (29)   ~ (all_52_9 = all_52_13)
% 172.64/26.91    (30)   ~ (all_52_3 = all_6_2)
% 172.64/26.91    (31)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.64/26.91    (32)   ~ (all_52_1 = all_6_2)
% 172.64/26.91    (33)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 172.64/26.91    (34)  all_54_2 = all_52_8
% 172.64/26.91    (35)  all_56_11 = all_52_14
% 172.64/26.91    (36)   ~ (all_52_6 = all_52_7)
% 172.64/26.91    (37)  all_56_0 = all_6_2
% 172.64/26.91    (38)   ~ (all_52_9 = all_10_2)
% 172.64/26.91    (39)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.64/26.91    (40)  all_58_30 = all_52_14
% 172.64/26.91    (41)  all_58_27 = all_52_11
% 172.64/26.91    (42)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.64/26.91    (43)  all_58_17 = all_52_1
% 172.64/26.91    (44)  op(e3, e1) = all_52_8
% 172.64/26.91    (45)  all_58_19 = all_52_3
% 172.64/26.91    (46)  all_56_9 = all_52_12
% 172.64/26.91    (47)   ~ (all_52_2 = all_52_6)
% 172.64/26.91    (48)   ~ (all_52_6 = all_10_2)
% 172.64/26.91    (49)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.64/26.91    (50)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.64/26.91    (51)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.64/26.91    (52)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 172.64/26.91    (53)   ~ (all_52_13 = all_14_2)
% 172.64/26.91    (54)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.64/26.91    (55)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.64/26.91    (56)  all_54_9 = all_52_6
% 172.64/26.91    (57)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.64/26.91    (58)   ~ (all_52_13 = all_52_14)
% 172.64/26.91    (59)  all_58_18 = all_52_2
% 172.64/26.91    (60)  all_58_16 = all_6_2
% 172.64/26.91    (61)  all_56_13 = all_52_7
% 172.64/26.91    (62)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 172.64/26.91    (63)   ~ (all_52_4 = all_6_2)
% 172.64/26.91    (64)   ~ (e3 = e0)
% 172.64/26.91    (65)  all_58_29 = all_52_13
% 172.64/26.91    (66)   ~ (all_4_2 = e0)
% 172.64/26.91    (67)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.64/26.91    (68)   ~ (all_52_6 = all_52_14)
% 172.64/26.91    (69)   ~ (all_52_8 = all_10_2)
% 172.64/26.91    (70)  all_56_4 = all_52_8
% 172.64/26.91    (71)   ~ (all_52_1 = all_52_13)
% 172.64/26.91    (72)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 172.64/26.91    (73)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 172.64/26.91    (74)  all_54_10 = all_10_2
% 172.64/26.91    (75)   ~ (all_52_7 = all_52_11)
% 172.64/26.91    (76)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 172.64/26.91    (77)   ~ (all_52_8 = all_52_11)
% 172.64/26.91    (78)   ~ (all_52_8 = all_6_2)
% 172.64/26.91    (79)  all_56_6 = all_52_2
% 172.64/26.91    (80)   ~ (all_52_1 = all_52_9)
% 172.64/26.91    (81)  op(e3, e3) = all_6_2
% 172.64/26.91    (82)  all_56_6 = e0
% 172.64/26.91    (83)  all_58_24 = all_52_8
% 172.64/26.91    (84)   ~ (all_52_12 = all_52_14)
% 172.64/26.91    (85)   ~ (all_52_9 = all_52_11)
% 172.64/26.91    (86)  all_58_22 = all_52_6
% 172.64/26.91    (87)  op(all_14_2, e0) = all_14_1
% 172.64/26.91    (88)   ~ (all_52_4 = all_52_12)
% 172.64/26.91    (89)  all_56_3 = all_4_2
% 172.64/26.91    (90)  all_54_0 = all_6_2
% 172.64/26.91    (91)   ~ (all_52_14 = all_10_2)
% 172.64/26.91    (92)   ~ (all_52_4 = all_52_8)
% 172.64/26.91    (93)   ~ (all_52_14 = all_14_2)
% 172.64/26.91    (94)  all_58_25 = all_52_9
% 172.64/26.91    (95)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 172.64/26.91    (96)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/26.91            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/26.91    (97)   ~ (all_6_1 = e0)
% 172.64/26.91    (98)  all_54_12 = all_52_3
% 172.64/26.91    (99)   ~ (all_52_2 = all_52_14)
% 172.64/26.91    (100)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 172.64/26.91    (101)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 172.64/26.91    (102)  all_58_21 = all_4_2
% 172.64/26.91    (103)  all_56_10 = all_52_13
% 172.64/26.91    (104)   ~ (e2 = e0)
% 172.64/26.91    (105)   ~ (all_52_1 = all_52_3)
% 172.64/26.91    (106)  all_58_28 = all_52_12
% 172.64/26.91    (107)  op(e1, all_52_6) = all_58_9
% 172.64/26.91    (108)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.64/26.91    (109)   ~ (e1 = e0)
% 172.64/26.91    (110)  all_56_7 = all_52_6
% 172.64/26.91    (111)  all_54_5 = all_4_2
% 172.64/26.91    (112)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.64/26.91           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.64/26.91           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/26.91           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/26.91           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/26.91           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/26.91           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/26.91           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.64/26.91           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.64/26.91           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.64/26.91             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.64/26.91             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.64/26.91             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.64/26.91             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.64/26.91             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.64/26.91             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.64/26.91             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.64/26.91             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.64/26.91             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/26.91             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.64/26.91             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.64/26.91             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/26.91             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.64/26.91             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.64/26.91             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.64/26.91             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.64/26.91           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.64/26.91           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/26.91           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.64/26.91             all_58_30 = e0 & e1 = e0)
% 172.64/26.91    (113)  all_54_7 = all_52_13
% 172.64/26.91    (114)   ~ (all_52_2 = all_10_2)
% 172.64/26.91    (115)   ~ (all_10_1 = e0)
% 172.64/26.91    (116)  all_54_11 = all_52_14
% 172.64/26.91    (117)  op(all_14_1, all_14_2) = e1
% 172.64/26.91    (118)   ~ (all_52_12 = all_52_13)
% 172.64/26.91  
% 172.64/26.91  Begin of proof
% 172.64/26.91  | 
% 172.64/26.91  | COMBINE_EQS: (79), (82) imply:
% 172.64/26.91  |   (119)  all_52_2 = e0
% 172.64/26.91  | 
% 172.64/26.91  | COMBINE_EQS: (59), (119) imply:
% 172.64/26.91  |   (120)  all_58_18 = e0
% 172.64/26.91  | 
% 172.64/26.91  | REDUCE: (47), (119) imply:
% 172.64/26.91  |   (121)   ~ (all_52_6 = e0)
% 172.64/26.91  | 
% 172.64/26.91  | SIMP: (121) implies:
% 172.64/26.91  |   (122)   ~ (all_52_6 = e0)
% 172.64/26.91  | 
% 172.64/26.91  | REDUCE: (99), (119) imply:
% 172.64/26.91  |   (123)   ~ (all_52_14 = e0)
% 172.64/26.91  | 
% 172.64/26.91  | SIMP: (123) implies:
% 172.64/26.91  |   (124)   ~ (all_52_14 = e0)
% 172.64/26.91  | 
% 172.64/26.91  | REDUCE: (114), (119) imply:
% 172.64/26.91  |   (125)   ~ (all_10_2 = e0)
% 172.64/26.91  | 
% 172.64/26.91  | SIMP: (125) implies:
% 172.64/26.91  |   (126)   ~ (all_10_2 = e0)
% 172.64/26.91  | 
% 172.64/26.91  | REDUCE: (3), (119) imply:
% 172.64/26.91  |   (127)  op(e1, e3) = e0
% 172.64/26.91  | 
% 172.64/26.91  | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 172.64/26.91  |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 172.64/26.91  |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 172.64/26.91  |            (36), (37), (38), (39), (40), (41), (42), (43), (44), (45), (46),
% 172.64/26.91  |            (48), (49), (50), (51), (52), (53), (54), (55), (56), (57), (58),
% 172.64/26.91  |            (60), (61), (62), (63), (64), (65), (66), (67), (68), (69), (70),
% 172.64/26.91  |            (71), (72), (73), (74), (75), (76), (77), (78), (80), (81), (82),
% 172.64/26.91  |            (83), (84), (85), (86), (87), (88), (89), (90), (91), (92), (93),
% 172.64/26.91  |            (94), (95), (96), (97), (98), (100), (101), (102), (103), (104),
% 172.64/26.91  |            (105), (106), (107), (108), (109), (110), (111), (112), (113),
% 172.64/26.91  |            (115), (116), (117), (118), (120), (122), (124), (126), (127) are
% 172.64/26.91  |            inconsistent by sub-proof #395.
% 172.64/26.91  | 
% 172.64/26.91  End of proof
% 172.64/26.91  
% 172.64/26.91  Sub-proof #387 shows that the following formulas are inconsistent:
% 172.64/26.91  ----------------------------------------------------------------
% 172.64/26.91    (1)   ~ (all_52_12 = all_14_2)
% 172.64/26.91    (2)  all_54_8 = all_52_2
% 172.64/26.91    (3)  all_56_12 = all_52_3
% 172.64/26.91    (4)  op(e1, e3) = all_52_2
% 172.64/26.91    (5)   ~ (e3 = e1)
% 172.64/26.91    (6)   ~ (all_52_2 = all_6_2)
% 172.64/26.91    (7)   ~ (all_52_3 = all_14_2)
% 172.64/26.91    (8)   ~ (all_52_4 = all_4_2)
% 172.64/26.91    (9)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.64/26.91    (10)  all_56_5 = all_52_9
% 172.64/26.91    (11)   ~ (all_52_12 = all_6_2)
% 172.64/26.91    (12)   ~ (all_52_6 = all_4_2)
% 172.64/26.91    (13)  all_56_15 = all_14_2
% 172.64/26.91    (14)   ~ (all_52_11 = all_14_2)
% 172.64/26.91    (15)  all_54_1 = all_52_4
% 172.64/26.91    (16)  op(all_10_2, e1) = all_10_1
% 172.64/26.91    (17)   ~ (all_14_2 = e0)
% 172.64/26.91    (18)  op(e1, all_10_2) = all_58_10
% 172.64/26.91    (19)   ~ (all_52_9 = all_4_2)
% 172.64/26.91    (20)  op(e1, e1) = all_10_2
% 172.64/26.91    (21)  all_54_6 = all_52_9
% 172.64/26.91    (22)  all_56_14 = all_52_11
% 172.64/26.91    (23)   ~ (all_52_13 = all_4_2)
% 172.64/26.91    (24)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.64/26.91    (25)  all_56_8 = all_10_2
% 172.64/26.91    (26)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.64/26.91    (27)  all_58_30 = e0
% 172.64/26.91    (28)   ~ (all_52_9 = e0)
% 172.64/26.91    (29)  all_58_26 = all_10_2
% 172.64/26.91    (30)   ~ (all_52_4 = all_52_6)
% 172.64/26.91    (31)  all_58_31 = all_14_2
% 172.64/26.91    (32)   ~ (all_52_11 = all_10_2)
% 172.64/26.91    (33)   ~ (all_52_9 = all_52_13)
% 172.64/26.91    (34)   ~ (all_52_3 = all_6_2)
% 172.64/26.91    (35)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.64/26.91    (36)   ~ (all_52_4 = e0)
% 172.64/26.91    (37)  all_56_0 = all_6_2
% 172.64/26.91    (38)   ~ (all_52_9 = all_10_2)
% 172.64/26.91    (39)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.64/26.91    (40)  all_58_27 = all_52_11
% 172.64/26.91    (41)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 172.64/26.91    (42)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.64/26.91    (43)  all_58_19 = all_52_3
% 172.64/26.91    (44)  all_56_9 = all_52_12
% 172.64/26.91    (45)   ~ (all_52_2 = all_52_6)
% 172.64/26.91    (46)  all_56_2 = e0
% 172.64/26.91    (47)  all_56_4 = e0
% 172.64/26.92    (48)   ~ (e3 = e2)
% 172.64/26.92    (49)   ~ (e2 = e1)
% 172.64/26.92    (50)   ~ (all_14_1 = e2) |  ~ (all_14_2 = e3)
% 172.64/26.92    (51)   ~ (all_52_2 = e0)
% 172.64/26.92    (52)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.64/26.92    (53)   ~ (all_52_13 = all_14_2)
% 172.64/26.92    (54)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.64/26.92    (55)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.64/26.92    (56)  all_54_9 = all_52_6
% 172.64/26.92    (57)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.64/26.92    (58)  all_58_18 = all_52_2
% 172.64/26.92    (59)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.64/26.92    (60)  all_58_16 = all_6_2
% 172.64/26.92    (61)   ~ (all_52_4 = all_6_2)
% 172.64/26.92    (62)   ~ (e3 = e0)
% 172.64/26.92    (63)  op(e3, e0) = all_52_12
% 172.64/26.92    (64)  all_58_29 = all_52_13
% 172.64/26.92    (65)   ~ (all_52_13 = e0)
% 172.64/26.92    (66)   ~ (all_4_2 = e0)
% 172.64/26.92    (67)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.64/26.92    (68)   ~ (all_6_2 = e0)
% 172.64/26.92    (69)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 172.64/26.92    (70)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.64/26.92    (71)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.64/26.92    (72)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 172.64/26.92    (73)  all_54_15 = all_14_2
% 172.64/26.92    (74)  all_58_17 = e0
% 172.64/26.92    (75)  all_56_11 = e0
% 172.64/26.92    (76)  all_56_6 = all_52_2
% 172.64/26.92    (77)   ~ (all_52_9 = all_52_11)
% 172.64/26.92    (78)  op(all_14_2, e0) = all_14_1
% 172.64/26.92    (79)  all_56_3 = all_4_2
% 172.64/26.92    (80)  all_54_0 = all_6_2
% 172.64/26.92    (81)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 172.64/26.92    (82)  all_58_24 = e0
% 172.64/26.92    (83)   ~ (all_52_11 = e0)
% 172.64/26.92    (84)   ~ (all_52_2 = all_52_3)
% 172.64/26.92    (85)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 172.64/26.92    (86)  all_58_25 = all_52_9
% 172.64/26.92    (87)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 172.64/26.92    (88)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/26.92            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/26.92    (89)   ~ (all_52_6 = e0)
% 172.64/26.92    (90)  all_54_12 = all_52_3
% 172.64/26.92    (91)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 172.64/26.92    (92)  all_58_21 = all_4_2
% 172.64/26.92    (93)  all_56_10 = all_52_13
% 172.64/26.92    (94)   ~ (all_52_3 = e0)
% 172.64/26.92    (95)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.64/26.92    (96)   ~ (e2 = e0)
% 172.64/26.92    (97)  all_58_28 = all_52_12
% 172.64/26.92    (98)  op(e1, all_52_6) = all_58_9
% 172.64/26.92    (99)   ~ (e1 = e0)
% 172.64/26.92    (100)  all_56_7 = all_52_6
% 172.64/26.92    (101)  all_54_5 = all_4_2
% 172.64/26.92    (102)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.64/26.92           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.64/26.92           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/26.92           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/26.92           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/26.92           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/26.92           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/26.92           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.64/26.92           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.64/26.92           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.64/26.92             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.64/26.92             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.64/26.92             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.64/26.92             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.64/26.92             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.64/26.92             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.64/26.92             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.64/26.92             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.64/26.92             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/26.92             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.64/26.92             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.64/26.92             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/26.92             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.64/26.92             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.64/26.92             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.64/26.92             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.64/26.92           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.64/26.92           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/26.92           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.64/26.92             all_58_30 = e0 & e1 = e0)
% 172.64/26.92    (103)  all_58_23 = e0
% 172.64/26.92    (104)   ~ (all_52_2 = all_10_2)
% 172.64/26.92    (105)   ~ (all_10_1 = e0)
% 172.64/26.92    (106)  op(all_14_1, all_14_2) = e1
% 172.64/26.92  
% 172.64/26.92  Begin of proof
% 172.64/26.92  | 
% 172.64/26.92  | BETA: splitting (87) gives:
% 172.64/26.92  | 
% 172.64/26.92  | Case 1:
% 172.64/26.92  | | 
% 172.64/26.92  | |   (107)  all_54_9 = e0
% 172.64/26.92  | | 
% 172.64/26.92  | | COMBINE_EQS: (56), (107) imply:
% 172.64/26.92  | |   (108)  all_52_6 = e0
% 172.64/26.92  | | 
% 172.64/26.92  | | REDUCE: (89), (108) imply:
% 172.64/26.92  | |   (109)  $false
% 172.64/26.92  | | 
% 172.64/26.92  | | CLOSE: (109) is inconsistent.
% 172.64/26.92  | | 
% 172.64/26.92  | Case 2:
% 172.64/26.92  | | 
% 172.64/26.92  | |   (110)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 172.64/26.92  | | 
% 172.64/26.92  | | BETA: splitting (55) gives:
% 172.64/26.92  | | 
% 172.64/26.92  | | Case 1:
% 172.64/26.92  | | | 
% 172.64/26.92  | | |   (111)  all_54_1 = e0
% 172.64/26.92  | | | 
% 172.64/26.92  | | | REF_CLOSE: (15), (36), (111) are inconsistent by sub-proof #866.
% 172.64/26.92  | | | 
% 172.64/26.92  | | Case 2:
% 172.64/26.92  | | | 
% 172.64/26.92  | | |   (112)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 172.64/26.92  | | | 
% 172.64/26.92  | | | BETA: splitting (69) gives:
% 172.64/26.92  | | | 
% 172.64/26.92  | | | Case 1:
% 172.64/26.92  | | | | 
% 172.64/26.92  | | | |   (113)  all_54_8 = e0
% 172.64/26.92  | | | | 
% 172.64/26.92  | | | | REF_CLOSE: (2), (51), (113) are inconsistent by sub-proof #839.
% 172.64/26.92  | | | | 
% 172.64/26.92  | | | Case 2:
% 172.64/26.92  | | | | 
% 172.64/26.92  | | | |   (114)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 172.64/26.92  | | | | 
% 172.64/26.92  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 172.64/26.92  | | | |            (12), (13), (14), (15), (16), (17), (18), (19), (20), (21),
% 172.64/26.92  | | | |            (22), (23), (24), (25), (26), (27), (28), (29), (30), (31),
% 172.64/26.92  | | | |            (32), (33), (34), (35), (37), (38), (39), (40), (41), (42),
% 172.64/26.92  | | | |            (43), (44), (45), (46), (47), (48), (49), (50), (51), (52),
% 172.64/26.92  | | | |            (53), (54), (56), (57), (58), (59), (60), (61), (62), (63),
% 172.64/26.92  | | | |            (64), (65), (66), (67), (68), (70), (71), (72), (73), (74),
% 172.64/26.92  | | | |            (75), (76), (77), (78), (79), (80), (81), (82), (83), (84),
% 172.64/26.92  | | | |            (85), (86), (88), (90), (91), (92), (93), (94), (95), (96),
% 172.64/26.92  | | | |            (97), (98), (99), (100), (101), (102), (103), (104), (105),
% 172.64/26.92  | | | |            (106), (110), (112), (114) are inconsistent by sub-proof
% 172.64/26.92  | | | |            #394.
% 172.64/26.92  | | | | 
% 172.64/26.92  | | | End of split
% 172.64/26.92  | | | 
% 172.64/26.92  | | End of split
% 172.64/26.92  | | 
% 172.64/26.92  | End of split
% 172.64/26.92  | 
% 172.64/26.92  End of proof
% 172.64/26.92  
% 172.64/26.92  Sub-proof #388 shows that the following formulas are inconsistent:
% 172.64/26.92  ----------------------------------------------------------------
% 172.64/26.92    (1)   ~ (all_52_12 = all_14_2)
% 172.64/26.92    (2)  op(e0, e0) = all_14_2
% 172.64/26.92    (3)  all_54_8 = all_52_2
% 172.64/26.92    (4)  all_56_1 = all_52_4
% 172.64/26.92    (5)  all_56_12 = all_52_3
% 172.64/26.92    (6)  all_56_15 = e0 | ((all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 172.64/26.92           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0))
% 172.64/26.92    (7)  op(e1, e3) = all_52_2
% 172.64/26.92    (8)  op(e3, all_52_12) = all_58_3
% 172.64/26.92    (9)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 172.64/26.92    (10)  op(e1, all_52_14) = all_58_11
% 172.64/26.92    (11)   ~ (all_10_2 = e0)
% 172.64/26.92    (12)   ~ (all_52_8 = all_52_12)
% 172.64/26.92    (13)   ~ (e3 = e1)
% 172.64/26.92    (14)  all_58_23 = all_52_7
% 172.64/26.92    (15)   ~ (all_52_2 = all_6_2)
% 172.64/26.92    (16)   ~ (all_52_3 = all_14_2)
% 172.64/26.92    (17)   ~ (all_52_4 = all_4_2)
% 172.64/26.92    (18)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.64/26.92    (19)  all_54_3 = all_52_12
% 172.64/26.92    (20)  all_56_5 = all_52_9
% 172.64/26.92    (21)   ~ (all_52_3 = all_52_11)
% 172.64/26.92    (22)  op(all_6_2, e3) = all_6_1
% 172.64/26.92    (23)   ~ (all_52_12 = all_6_2)
% 172.64/26.92    (24)  op(e2, e0) = all_52_13
% 172.64/26.92    (25)   ~ (all_52_6 = all_4_2)
% 172.64/26.92    (26)  op(e3, all_6_2) = all_58_0
% 172.64/26.92    (27)  op(e1, e0) = all_52_14
% 172.64/26.92    (28)  all_56_15 = all_14_2
% 172.64/26.92    (29)   ~ (all_52_11 = all_14_2)
% 172.64/26.92    (30)  op(e0, e2) = all_52_7
% 172.64/26.92    (31)  all_54_1 = all_52_4
% 172.64/26.92    (32)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 172.64/26.92    (33)   ~ (all_52_9 = all_4_2)
% 172.64/26.92    (34)   ~ (all_52_3 = all_52_7)
% 172.64/26.92    (35)  all_54_6 = all_52_9
% 172.64/26.92    (36)  all_56_14 = all_52_11
% 172.64/26.92    (37)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 172.64/26.92    (38)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 172.64/26.92    (39)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.64/26.92    (40)  op(e0, all_52_3) = all_58_12
% 172.64/26.92    (41)  all_56_8 = all_10_2
% 172.64/26.92    (42)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.64/26.92    (43)  all_58_26 = all_10_2
% 172.64/26.92    (44)   ~ (all_52_4 = all_52_6)
% 172.64/26.92    (45)  all_58_31 = all_14_2
% 172.64/26.92    (46)   ~ (all_52_11 = all_10_2)
% 172.64/26.92    (47)   ~ (all_52_9 = all_52_13)
% 172.64/26.92    (48)   ~ (all_52_3 = all_6_2)
% 172.64/26.92    (49)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.64/26.92    (50)  op(all_6_1, all_6_2) = all_6_0
% 172.64/26.92    (51)   ~ (all_52_1 = all_6_2)
% 172.64/26.92    (52)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 172.64/26.92    (53)  all_54_2 = all_52_8
% 172.64/26.92    (54)  all_56_11 = all_52_14
% 172.64/26.92    (55)  op(e2, e1) = all_52_9
% 172.64/26.92    (56)   ~ (all_52_6 = all_52_7)
% 172.64/26.92    (57)  all_56_2 = e2 | all_56_3 = e2 | all_56_5 = e2 | all_56_10 = e2
% 172.64/26.92    (58)  all_56_0 = all_6_2
% 172.64/26.92    (59)   ~ (all_52_9 = all_10_2)
% 172.64/26.92    (60)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.64/26.92    (61)  all_58_30 = all_52_14
% 172.64/26.92    (62)  all_58_27 = all_52_11
% 172.64/26.92    (63)  all_24_1 = all_4_1
% 172.64/26.92    (64)  all_54_14 = all_52_11
% 172.64/26.92    (65)  op(all_4_2, e2) = all_4_1
% 172.64/26.92    (66)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.64/26.92    (67)  all_58_17 = all_52_1
% 172.64/26.92    (68)  all_42_2 = all_6_2
% 172.64/26.92    (69)   ~ (all_42_0 = e1) |  ~ (all_42_1 = e2) |  ~ (all_42_2 = e0)
% 172.64/26.92    (70)  op(e2, all_4_2) = all_58_5
% 172.64/26.92    (71)  all_58_19 = all_52_3
% 172.64/26.92    (72)  all_56_9 = all_52_12
% 172.64/26.92    (73)   ~ (all_40_0 = e3) |  ~ (all_40_1 = e1) |  ~ (all_40_2 = e0)
% 172.64/26.92    (74)   ~ (all_52_2 = all_52_6)
% 172.64/26.92    (75)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 172.64/26.92    (76)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 172.64/26.92    (77)   ~ (e3 = e2)
% 172.64/26.92    (78)  op(e3, all_52_8) = all_58_2
% 172.64/26.92    (79)   ~ (all_52_4 = all_52_7)
% 172.64/26.92    (80)   ~ (e2 = e1)
% 172.64/26.92    (81)   ~ (all_52_6 = all_10_2)
% 172.64/26.92    (82)  op(e0, all_52_11) = all_58_14
% 172.64/26.92    (83)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.64/26.92    (84)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.64/26.92    (85)  all_24_0 = all_4_0
% 172.64/26.92    (86)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 172.64/26.92    (87)   ~ (all_52_13 = all_14_2)
% 172.64/26.92    (88)   ~ (all_52_1 = all_4_2)
% 172.64/26.92    (89)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.64/26.92    (90)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.64/26.92    (91)  all_54_9 = all_52_6
% 172.64/26.92    (92)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.64/26.92    (93)   ~ (all_52_13 = all_52_14)
% 172.64/26.92    (94)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3)
% 172.64/26.92    (95)  all_58_18 = all_52_2
% 172.64/26.92    (96)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.64/26.92    (97)  all_58_16 = all_6_2
% 172.64/26.92    (98)  all_56_13 = all_52_7
% 172.64/26.92    (99)  op(e0, e3) = all_52_3
% 172.64/26.92    (100)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 172.64/26.92    (101)   ~ (all_52_8 = all_52_9)
% 172.64/26.92    (102)   ~ (all_52_4 = all_6_2)
% 172.64/26.92    (103)  op(all_4_1, all_4_2) = all_4_0
% 172.64/26.92    (104)  all_40_2 = all_4_2
% 172.64/26.92    (105)  all_56_2 = all_52_1
% 172.64/26.92    (106)   ~ (e3 = e0)
% 172.64/26.92    (107)  op(e3, e0) = all_52_12
% 172.64/26.92    (108)  all_58_29 = all_52_13
% 172.64/26.92    (109)   ~ (all_52_1 = all_52_2)
% 172.64/26.92    (110)  all_4_2 = e0
% 172.64/26.92    (111)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.64/26.92    (112)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 172.64/26.92    (113)   ~ (all_52_6 = all_52_14)
% 172.64/26.92    (114)   ~ (all_52_7 = all_4_2)
% 172.64/26.92    (115)   ~ (all_52_8 = all_10_2)
% 172.64/26.92    (116)  all_56_4 = all_52_8
% 172.64/26.92    (117)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.64/26.92    (118)  op(e1, all_52_2) = all_58_8
% 172.64/26.92    (119)   ~ (all_52_1 = all_52_13)
% 172.64/26.92    (120)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.64/26.92    (121)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 172.64/26.92    (122)  all_58_20 = all_52_4
% 172.64/26.92    (123)  all_54_10 = all_10_2
% 172.64/26.92    (124)  all_54_13 = all_52_7
% 172.64/26.92    (125)   ~ (all_52_7 = all_52_11)
% 172.64/26.92    (126)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 172.64/26.92    (127)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 172.64/26.92    (128)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 172.64/26.92    (129)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.64/26.92    (130)   ~ (all_52_8 = all_52_11)
% 172.64/26.92    (131)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 172.64/26.92    (132)   ~ (all_52_8 = all_6_2)
% 172.64/26.92    (133)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 172.64/26.92    (134)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 172.64/26.92    (135)  all_56_6 = all_52_2
% 172.64/26.92    (136)   ~ (all_52_1 = all_52_9)
% 172.64/26.92    (137)  all_58_24 = all_52_8
% 172.64/26.92    (138)   ~ (all_52_12 = all_52_14)
% 172.64/26.92    (139)   ~ (all_52_9 = all_52_11)
% 172.64/26.92    (140)  all_58_22 = all_52_6
% 172.64/26.92    (141)  op(all_14_2, e0) = all_14_1
% 172.64/26.92    (142)   ~ (all_52_4 = all_52_12)
% 172.64/26.92    (143)  all_56_3 = all_4_2
% 172.64/26.92    (144)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.64/26.92    (145)  all_54_0 = all_6_2
% 172.64/26.92    (146)  all_40_0 = all_4_0
% 172.64/26.92    (147)   ~ (all_52_14 = all_10_2)
% 172.64/26.92    (148)   ~ (all_52_2 = all_52_3)
% 172.64/26.92    (149)   ~ (all_52_4 = all_52_8)
% 172.64/26.92    (150)   ~ (all_52_14 = all_14_2)
% 172.64/26.92    (151)  all_58_25 = all_52_9
% 172.64/26.92    (152)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 172.64/26.92    (153)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/26.92             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/26.92    (154)  all_54_12 = all_52_3
% 172.64/26.92    (155)   ~ (all_52_2 = all_52_14)
% 172.64/26.92    (156)  op(e0, all_14_2) = all_58_15
% 172.64/26.92    (157)  all_58_21 = all_4_2
% 172.64/26.92    (158)  all_40_1 = all_4_1
% 172.64/26.92    (159)  all_56_10 = all_52_13
% 172.64/26.92    (160)   ~ (e2 = e0)
% 172.64/26.92    (161)   ~ (all_52_1 = all_52_3)
% 172.64/26.92    (162)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 172.64/26.92    (163)  all_58_28 = all_52_12
% 172.64/26.92    (164)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.64/26.92    (165)   ~ (e1 = e0)
% 172.64/26.92    (166)  all_54_4 = all_52_1
% 172.64/26.92    (167)  all_56_7 = all_52_6
% 172.64/26.92    (168)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.64/26.92             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.64/26.92             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.64/26.92             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.64/26.92             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.64/26.92             (all_58_15 = e0))
% 172.64/26.92    (169)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 172.64/26.92    (170)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.64/26.92    (171)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.64/26.92           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.64/26.92           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/26.92           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/26.92           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/26.92           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/26.92           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/26.92           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.64/26.92           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.64/26.92           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.64/26.92             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.64/26.92             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.64/26.92             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.64/26.92             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.64/26.92             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.64/26.92             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.64/26.92             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.64/26.92             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.64/26.92             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/26.92             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.64/26.92             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.64/26.92             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/26.92             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.64/26.92             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.64/26.92             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.64/26.92             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.64/26.92           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.64/26.92           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/26.92           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.64/26.92             all_58_30 = e0 & e1 = e0)
% 172.64/26.92    (172)  all_54_7 = all_52_13
% 172.64/26.92    (173)   ~ (all_52_2 = all_10_2)
% 172.64/26.92    (174)  all_54_11 = all_52_14
% 172.64/26.92    (175)  op(all_14_1, all_14_2) = e1
% 172.64/26.92    (176)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.64/26.92    (177)   ~ (all_52_12 = all_52_13)
% 172.64/26.92  
% 172.64/26.92  Begin of proof
% 172.64/26.92  | 
% 172.64/26.92  | COMBINE_EQS: (104), (110) imply:
% 172.64/26.92  |   (178)  all_40_2 = e0
% 172.64/26.92  | 
% 172.64/26.92  | COMBINE_EQS: (110), (143) imply:
% 172.64/26.92  |   (179)  all_56_3 = e0
% 172.64/26.92  | 
% 172.64/26.92  | COMBINE_EQS: (110), (157) imply:
% 172.64/26.92  |   (180)  all_58_21 = e0
% 172.64/26.92  | 
% 172.64/26.92  | REDUCE: (88), (110) imply:
% 172.64/26.92  |   (181)   ~ (all_52_1 = e0)
% 172.64/26.92  | 
% 172.64/26.92  | REDUCE: (17), (110) imply:
% 172.64/26.92  |   (182)   ~ (all_52_4 = e0)
% 172.64/26.92  | 
% 172.64/26.92  | REDUCE: (25), (110) imply:
% 172.64/26.92  |   (183)   ~ (all_52_6 = e0)
% 172.64/26.92  | 
% 172.64/26.92  | REDUCE: (110), (114) imply:
% 172.64/26.92  |   (184)   ~ (all_52_7 = e0)
% 172.64/26.92  | 
% 172.64/26.92  | REDUCE: (33), (110) imply:
% 172.64/26.92  |   (185)   ~ (all_52_9 = e0)
% 172.64/26.92  | 
% 172.64/26.92  | REDUCE: (103), (110) imply:
% 172.64/26.92  |   (186)  op(all_4_1, e0) = all_4_0
% 172.64/26.92  | 
% 172.64/26.92  | REDUCE: (65), (110) imply:
% 172.64/26.92  |   (187)  op(e0, e2) = all_4_1
% 172.64/26.92  | 
% 172.64/26.92  | REDUCE: (70), (110) imply:
% 172.64/26.92  |   (188)  op(e2, e0) = all_58_5
% 172.64/26.92  | 
% 172.64/26.92  | GROUND_INST: instantiating (153) with all_52_7, all_4_1, e2, e0, simplifying
% 172.64/26.92  |              with (30), (187) gives:
% 172.64/26.92  |   (189)  all_52_7 = all_4_1
% 172.64/26.92  | 
% 172.64/26.92  | GROUND_INST: instantiating (153) with all_52_13, all_58_5, e0, e2, simplifying
% 172.64/26.92  |              with (24), (188) gives:
% 172.64/26.92  |   (190)  all_58_5 = all_52_13
% 172.64/26.92  | 
% 172.64/26.92  | COMBINE_EQS: (124), (189) imply:
% 172.64/26.92  |   (191)  all_54_13 = all_4_1
% 172.64/26.92  | 
% 172.64/26.92  | COMBINE_EQS: (98), (189) imply:
% 172.64/26.92  |   (192)  all_56_13 = all_4_1
% 172.64/26.92  | 
% 172.64/26.92  | COMBINE_EQS: (14), (189) imply:
% 172.64/26.92  |   (193)  all_58_23 = all_4_1
% 172.64/26.92  | 
% 172.64/26.92  | REDUCE: (34), (189) imply:
% 172.64/26.92  |   (194)   ~ (all_52_3 = all_4_1)
% 172.64/26.92  | 
% 172.64/26.92  | REDUCE: (79), (189) imply:
% 172.64/26.92  |   (195)   ~ (all_52_4 = all_4_1)
% 172.64/26.92  | 
% 172.64/26.92  | REDUCE: (56), (189) imply:
% 172.64/26.92  |   (196)   ~ (all_52_6 = all_4_1)
% 172.64/26.92  | 
% 172.64/26.92  | REDUCE: (125), (189) imply:
% 172.64/26.92  |   (197)   ~ (all_52_11 = all_4_1)
% 172.64/26.92  | 
% 172.64/26.92  | SIMP: (197) implies:
% 172.64/26.92  |   (198)   ~ (all_52_11 = all_4_1)
% 172.64/26.92  | 
% 172.64/26.92  | REDUCE: (184), (189) imply:
% 172.64/26.92  |   (199)   ~ (all_4_1 = e0)
% 172.64/26.92  | 
% 172.64/26.92  | BETA: splitting (73) gives:
% 172.64/26.92  | 
% 172.64/26.92  | Case 1:
% 172.64/26.92  | | 
% 172.64/26.92  | |   (200)   ~ (all_40_2 = e0)
% 172.64/26.92  | | 
% 172.64/26.92  | | REDUCE: (178), (200) imply:
% 172.64/26.92  | |   (201)  $false
% 172.64/26.92  | | 
% 172.64/26.92  | | CLOSE: (201) is inconsistent.
% 172.64/26.92  | | 
% 172.64/26.92  | Case 2:
% 172.64/26.92  | | 
% 172.64/26.92  | |   (202)   ~ (all_40_0 = e3) |  ~ (all_40_1 = e1)
% 172.64/26.92  | | 
% 172.64/26.92  | | BETA: splitting (69) gives:
% 172.64/26.92  | | 
% 172.64/26.92  | | Case 1:
% 172.64/26.92  | | | 
% 172.64/26.92  | | |   (203)   ~ (all_42_2 = e0)
% 172.64/26.92  | | | 
% 172.64/26.92  | | | REDUCE: (68), (203) imply:
% 172.64/26.92  | | |   (204)   ~ (all_6_2 = e0)
% 172.64/26.92  | | | 
% 172.64/26.92  | | | BETA: splitting (6) gives:
% 172.64/26.92  | | | 
% 172.64/26.92  | | | Case 1:
% 172.64/26.92  | | | | 
% 172.64/26.92  | | | |   (205)  all_56_15 = e0
% 172.64/26.92  | | | | 
% 172.64/26.92  | | | | REF_CLOSE: (2), (28), (141), (153), (156), (165), (175), (205) are
% 172.64/26.92  | | | |            inconsistent by sub-proof #400.
% 172.64/26.92  | | | | 
% 172.64/26.92  | | | Case 2:
% 172.64/26.92  | | | | 
% 172.64/26.92  | | | |   (206)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) & (all_56_12
% 172.64/26.92  | | | |            = e0 | all_56_13 = e0 | all_56_14 = e0)
% 172.64/26.92  | | | | 
% 172.64/26.92  | | | | ALPHA: (206) implies:
% 172.64/26.92  | | | |   (207)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 172.64/26.92  | | | | 
% 172.64/26.92  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12),
% 172.64/26.92  | | | |            (13), (15), (16), (17), (18), (19), (21), (22), (23), (27),
% 172.64/26.92  | | | |            (28), (31), (32), (35), (36), (37), (38), (39), (40), (41),
% 172.64/26.92  | | | |            (42), (43), (44), (45), (46), (47), (48), (49), (50), (51),
% 172.64/26.92  | | | |            (52), (53), (54), (55), (58), (59), (60), (61), (62), (64),
% 172.64/26.92  | | | |            (67), (71), (72), (74), (75), (76), (77), (78), (80), (81),
% 172.64/26.92  | | | |            (82), (83), (86), (89), (90), (92), (93), (95), (96), (97),
% 172.64/26.92  | | | |            (101), (102), (105), (106), (107), (108), (109), (111),
% 172.64/26.92  | | | |            (112), (113), (115), (116), (118), (119), (121), (122),
% 172.64/26.92  | | | |            (123), (126), (127), (128), (129), (130), (132), (133),
% 172.64/26.92  | | | |            (134), (135), (136), (137), (138), (139), (140), (142),
% 172.64/26.92  | | | |            (144), (145), (146), (147), (148), (149), (150), (151),
% 172.64/26.92  | | | |            (153), (154), (155), (157), (158), (159), (160), (161),
% 172.64/26.92  | | | |            (163), (164), (165), (166), (167), (168), (169), (170),
% 172.64/26.92  | | | |            (171), (172), (173), (174), (176), (177), (179), (180),
% 172.64/26.92  | | | |            (181), (182), (183), (186), (190), (192), (193), (194),
% 172.64/26.92  | | | |            (195), (196), (198), (199), (202), (204), (207) are
% 172.64/26.92  | | | |            inconsistent by sub-proof #521.
% 172.64/26.92  | | | | 
% 172.64/26.92  | | | End of split
% 172.64/26.92  | | | 
% 172.64/26.92  | | Case 2:
% 172.64/26.92  | | | 
% 172.64/26.92  | | |   (208)  all_42_2 = e0
% 172.64/26.92  | | | 
% 172.64/26.92  | | | COMBINE_EQS: (68), (208) imply:
% 172.64/26.92  | | |   (209)  all_6_2 = e0
% 172.64/26.92  | | | 
% 172.64/26.92  | | | SIMP: (209) implies:
% 172.64/26.92  | | |   (210)  all_6_2 = e0
% 172.64/26.92  | | | 
% 172.64/26.93  | | | REF_CLOSE: (1), (3), (4), (5), (11), (12), (13), (15), (16), (17), (18),
% 172.64/26.93  | | |            (19), (20), (21), (22), (26), (27), (28), (29), (31), (32),
% 172.64/26.93  | | |            (35), (36), (37), (41), (42), (43), (44), (45), (46), (47),
% 172.64/26.93  | | |            (49), (51), (52), (53), (54), (57), (58), (59), (61), (63),
% 172.64/26.93  | | |            (66), (67), (71), (72), (74), (77), (80), (81), (84), (85),
% 172.64/26.93  | | |            (86), (87), (89), (90), (91), (92), (93), (94), (95), (96),
% 172.64/26.93  | | |            (97), (99), (100), (101), (102), (105), (106), (107), (108),
% 172.64/26.93  | | |            (109), (111), (112), (113), (115), (116), (117), (119), (120),
% 172.64/26.93  | | |            (121), (122), (127), (128), (129), (130), (131), (132), (135),
% 172.64/26.93  | | |            (137), (138), (139), (140), (142), (144), (146), (147), (148),
% 172.64/26.93  | | |            (149), (151), (152), (153), (154), (155), (157), (158), (159),
% 172.64/26.93  | | |            (160), (161), (162), (163), (164), (165), (167), (169), (170),
% 172.64/26.93  | | |            (171), (172), (173), (177), (179), (180), (183), (185), (186),
% 172.64/26.93  | | |            (191), (192), (193), (194), (195), (198), (202), (210) are
% 172.64/26.93  | | |            inconsistent by sub-proof #488.
% 172.64/26.93  | | | 
% 172.64/26.93  | | End of split
% 172.64/26.93  | | 
% 172.64/26.93  | End of split
% 172.64/26.93  | 
% 172.64/26.93  End of proof
% 172.64/26.93  
% 172.64/26.93  Sub-proof #389 shows that the following formulas are inconsistent:
% 172.64/26.93  ----------------------------------------------------------------
% 172.64/26.93    (1)   ~ (all_52_12 = all_14_2)
% 172.64/26.93    (2)  op(e0, e0) = all_14_2
% 172.64/26.93    (3)  all_56_1 = all_52_4
% 172.64/26.93    (4)  all_56_12 = all_52_3
% 172.64/26.93    (5)  all_56_15 = e0 | ((all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 172.64/26.93           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0))
% 172.64/26.93    (6)  op(e1, all_52_14) = all_58_11
% 172.64/26.93    (7)   ~ (all_10_2 = e0)
% 172.64/26.93    (8)   ~ (all_52_8 = all_52_12)
% 172.64/26.93    (9)   ~ (e3 = e1)
% 172.64/26.93    (10)  all_58_23 = all_52_7
% 172.64/26.93    (11)   ~ (all_52_2 = all_6_2)
% 172.64/26.93    (12)   ~ (all_52_4 = all_4_2)
% 172.64/26.93    (13)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.64/26.93    (14)  all_54_3 = all_52_12
% 172.64/26.93    (15)  all_56_5 = all_52_9
% 172.64/26.93    (16)   ~ (all_52_3 = all_52_11)
% 172.64/26.93    (17)  op(all_6_2, e3) = all_6_1
% 172.64/26.93    (18)   ~ (all_52_12 = all_6_2)
% 172.64/26.93    (19)  op(e2, e0) = all_52_13
% 172.64/26.93    (20)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 172.64/26.93    (21)   ~ (all_52_6 = all_4_2)
% 172.64/26.93    (22)  op(e3, all_6_2) = all_58_0
% 172.64/26.93    (23)  op(e1, e0) = all_52_14
% 172.64/26.93    (24)  all_56_15 = all_14_2
% 172.64/26.93    (25)  all_54_1 = all_52_4
% 172.64/26.93    (26)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 172.64/26.93    (27)   ~ (all_52_9 = all_4_2)
% 172.64/26.93    (28)   ~ (all_52_3 = all_52_7)
% 172.64/26.93    (29)  all_54_6 = all_52_9
% 172.64/26.93    (30)  all_56_14 = all_52_11
% 172.64/26.93    (31)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 172.64/26.93    (32)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 172.64/26.93    (33)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.64/26.93    (34)  all_56_8 = all_10_2
% 172.64/26.93    (35)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.64/26.93    (36)  all_58_26 = all_10_2
% 172.64/26.93    (37)   ~ (all_52_4 = all_52_6)
% 172.64/26.93    (38)  all_58_31 = all_14_2
% 172.64/26.93    (39)   ~ (all_52_11 = all_10_2)
% 172.64/26.93    (40)   ~ (all_52_9 = all_52_13)
% 172.64/26.93    (41)   ~ (all_52_3 = all_6_2)
% 172.64/26.93    (42)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.64/26.93    (43)   ~ (all_52_1 = all_6_2)
% 172.64/26.93    (44)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 172.64/26.93    (45)  all_54_2 = all_52_8
% 172.64/26.93    (46)  all_56_11 = all_52_14
% 172.64/26.93    (47)   ~ (all_52_6 = all_52_7)
% 172.64/26.93    (48)  all_56_0 = all_6_2
% 172.64/26.93    (49)   ~ (all_52_9 = all_10_2)
% 172.64/26.93    (50)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.64/26.93    (51)  all_58_30 = all_52_14
% 172.64/26.93    (52)  all_58_27 = all_52_11
% 172.64/26.93    (53)  all_54_14 = all_52_11
% 172.64/26.93    (54)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 172.64/26.93    (55)  all_58_17 = all_52_1
% 172.64/26.93    (56)  all_42_2 = all_6_2
% 172.64/26.93    (57)  all_58_19 = all_52_3
% 172.64/26.93    (58)  all_56_9 = all_52_12
% 172.64/26.93    (59)   ~ (all_52_2 = all_52_6)
% 172.64/26.93    (60)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 172.64/26.93    (61)   ~ (e3 = e2)
% 172.64/26.93    (62)   ~ (all_52_4 = all_52_7)
% 172.64/26.93    (63)   ~ (e2 = e1)
% 172.64/26.93    (64)   ~ (all_52_6 = all_10_2)
% 172.64/26.93    (65)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 172.64/26.93    (66)  op(e0, all_52_11) = all_58_14
% 172.64/26.93    (67)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.64/26.93    (68)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 172.64/26.93    (69)   ~ (all_52_13 = all_14_2)
% 172.64/26.93    (70)   ~ (all_52_1 = all_4_2)
% 172.64/26.93    (71)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.64/26.93    (72)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.64/26.93    (73)  all_54_9 = all_52_6
% 172.64/26.93    (74)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.64/26.93    (75)   ~ (all_52_13 = all_52_14)
% 172.64/26.93    (76)  all_58_18 = all_52_2
% 172.64/26.93    (77)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.64/26.93    (78)  all_42_2 = e0
% 172.64/26.93    (79)  all_58_16 = all_6_2
% 172.64/26.93    (80)  all_56_13 = all_52_7
% 172.64/26.93    (81)  op(e0, e3) = all_52_3
% 172.64/26.93    (82)  op(e0, all_52_7) = all_58_13
% 172.64/26.93    (83)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 172.64/26.93    (84)   ~ (all_52_8 = all_52_9)
% 172.64/26.93    (85)   ~ (all_52_4 = all_6_2)
% 172.64/26.93    (86)  all_56_2 = all_52_1
% 172.64/26.93    (87)   ~ (e3 = e0)
% 172.64/26.93    (88)  op(e3, e0) = all_52_12
% 172.64/26.93    (89)  all_58_29 = all_52_13
% 172.64/26.93    (90)   ~ (all_52_1 = all_52_2)
% 172.64/26.93    (91)   ~ (all_4_2 = e0)
% 172.64/26.93    (92)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.64/26.93    (93)   ~ (all_52_6 = all_52_14)
% 172.64/26.93    (94)   ~ (all_52_7 = all_4_2)
% 172.64/26.93    (95)   ~ (all_52_8 = all_10_2)
% 172.64/26.93    (96)  all_56_4 = all_52_8
% 172.64/26.93    (97)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.64/26.93    (98)   ~ (all_52_1 = all_52_13)
% 172.64/26.93    (99)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.64/26.93    (100)  all_58_20 = all_52_4
% 172.64/26.93    (101)  all_54_15 = all_14_2
% 172.64/26.93    (102)   ~ (all_52_7 = all_52_11)
% 172.64/26.93    (103)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 172.64/26.93    (104)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 172.64/26.93    (105)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.64/26.93    (106)   ~ (all_52_8 = all_52_11)
% 172.64/26.93    (107)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 172.64/26.93    (108)   ~ (all_52_8 = all_6_2)
% 172.64/26.93    (109)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 172.64/26.93    (110)  all_56_6 = all_52_2
% 172.64/26.93    (111)   ~ (all_52_1 = all_52_9)
% 172.64/26.93    (112)  all_58_24 = all_52_8
% 172.64/26.93    (113)   ~ (all_52_12 = all_52_14)
% 172.64/26.93    (114)   ~ (all_52_9 = all_52_11)
% 172.64/26.93    (115)  all_58_22 = all_52_6
% 172.64/26.93    (116)  op(all_14_2, e0) = all_14_1
% 172.64/26.93    (117)   ~ (all_52_4 = all_52_12)
% 172.64/26.93    (118)  all_56_3 = all_4_2
% 172.64/26.93    (119)   ~ (all_52_14 = all_10_2)
% 172.64/26.93    (120)   ~ (all_52_2 = all_52_3)
% 172.64/26.93    (121)   ~ (all_52_4 = all_52_8)
% 172.64/26.93    (122)   ~ (all_52_14 = all_14_2)
% 172.64/26.93    (123)  all_58_25 = all_52_9
% 172.64/26.93    (124)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 172.64/26.93    (125)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/26.93             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/26.93    (126)   ~ (all_52_2 = all_52_14)
% 172.64/26.93    (127)  op(e0, all_14_2) = all_58_15
% 172.64/26.93    (128)  all_58_21 = all_4_2
% 172.64/26.93    (129)  all_56_10 = all_52_13
% 172.64/26.93    (130)  op(e2, all_52_9) = all_58_6
% 172.64/26.93    (131)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.64/26.93    (132)   ~ (e2 = e0)
% 172.64/26.93    (133)   ~ (all_52_1 = all_52_3)
% 172.64/26.93    (134)  all_58_28 = all_52_12
% 172.64/26.93    (135)  op(e1, all_52_6) = all_58_9
% 172.64/26.93    (136)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.64/26.93    (137)   ~ (e1 = e0)
% 172.64/26.93    (138)  all_54_4 = all_52_1
% 172.64/26.93    (139)  all_56_7 = all_52_6
% 172.64/26.93    (140)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.64/26.93             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.64/26.93             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.64/26.93             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.64/26.93             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.64/26.93             (all_58_15 = e0))
% 172.64/26.93    (141)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 172.64/26.93    (142)  all_54_5 = all_4_2
% 172.64/26.93    (143)  op(e2, all_52_13) = all_58_7
% 172.64/26.93    (144)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.64/26.93           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.64/26.93           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/26.93           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/26.93           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/26.93           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/26.93           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/26.93           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.64/26.93           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.64/26.93           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.64/26.93             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.64/26.93             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.64/26.93             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.64/26.93             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.64/26.93             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.64/26.93             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.64/26.93             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.64/26.93             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.64/26.93             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/26.93             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.64/26.93             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.64/26.93             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/26.93             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.64/26.93             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.64/26.93             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.64/26.93             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.64/26.93           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.64/26.93           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/26.93           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.64/26.93             all_58_30 = e0 & e1 = e0)
% 172.64/26.93    (145)  all_54_7 = all_52_13
% 172.64/26.93    (146)   ~ (all_52_2 = all_10_2)
% 172.64/26.93    (147)  all_54_11 = all_52_14
% 172.64/26.93    (148)  op(all_14_1, all_14_2) = e1
% 172.64/26.93    (149)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.64/26.93    (150)   ~ (all_52_12 = all_52_13)
% 172.64/26.93  
% 172.64/26.93  Begin of proof
% 172.64/26.93  | 
% 172.64/26.93  | COMBINE_EQS: (56), (78) imply:
% 172.64/26.93  |   (151)  all_6_2 = e0
% 172.64/26.93  | 
% 172.64/26.93  | SIMP: (151) implies:
% 172.64/26.93  |   (152)  all_6_2 = e0
% 172.64/26.93  | 
% 172.64/26.93  | COMBINE_EQS: (48), (152) imply:
% 172.64/26.93  |   (153)  all_56_0 = e0
% 172.64/26.93  | 
% 172.64/26.93  | COMBINE_EQS: (79), (152) imply:
% 172.64/26.93  |   (154)  all_58_16 = e0
% 172.64/26.93  | 
% 172.64/26.93  | REDUCE: (43), (152) imply:
% 172.64/26.93  |   (155)   ~ (all_52_1 = e0)
% 172.64/26.93  | 
% 172.64/26.93  | REDUCE: (11), (152) imply:
% 172.64/26.93  |   (156)   ~ (all_52_2 = e0)
% 172.64/26.93  | 
% 172.64/26.93  | REDUCE: (41), (152) imply:
% 172.64/26.93  |   (157)   ~ (all_52_3 = e0)
% 172.64/26.93  | 
% 172.64/26.93  | REDUCE: (85), (152) imply:
% 172.64/26.93  |   (158)   ~ (all_52_4 = e0)
% 172.64/26.93  | 
% 172.64/26.93  | REDUCE: (108), (152) imply:
% 172.64/26.93  |   (159)   ~ (all_52_8 = e0)
% 172.64/26.93  | 
% 172.64/26.93  | REDUCE: (18), (152) imply:
% 172.64/26.93  |   (160)   ~ (all_52_12 = e0)
% 172.64/26.93  | 
% 172.64/26.93  | REDUCE: (17), (152) imply:
% 172.64/26.93  |   (161)  op(e0, e3) = all_6_1
% 172.64/26.93  | 
% 172.64/26.93  | REDUCE: (22), (152) imply:
% 172.64/26.93  |   (162)  op(e3, e0) = all_58_0
% 172.64/26.93  | 
% 172.64/26.93  | GROUND_INST: instantiating (125) with all_52_3, all_6_1, e3, e0, simplifying
% 172.64/26.93  |              with (81), (161) gives:
% 172.64/26.93  |   (163)  all_52_3 = all_6_1
% 172.64/26.93  | 
% 172.64/26.93  | GROUND_INST: instantiating (125) with all_52_12, all_58_0, e0, e3, simplifying
% 172.64/26.93  |              with (88), (162) gives:
% 172.64/26.93  |   (164)  all_58_0 = all_52_12
% 172.64/26.93  | 
% 172.64/26.93  | COMBINE_EQS: (4), (163) imply:
% 172.64/26.93  |   (165)  all_56_12 = all_6_1
% 172.64/26.93  | 
% 172.64/26.93  | COMBINE_EQS: (57), (163) imply:
% 172.64/26.93  |   (166)  all_58_19 = all_6_1
% 172.64/26.93  | 
% 172.64/26.93  | REDUCE: (133), (163) imply:
% 172.64/26.93  |   (167)   ~ (all_52_1 = all_6_1)
% 172.64/26.93  | 
% 172.64/26.93  | REDUCE: (120), (163) imply:
% 172.64/26.93  |   (168)   ~ (all_52_2 = all_6_1)
% 172.64/26.93  | 
% 172.64/26.93  | REDUCE: (28), (163) imply:
% 172.64/26.93  |   (169)   ~ (all_52_7 = all_6_1)
% 172.64/26.93  | 
% 172.64/26.93  | SIMP: (169) implies:
% 172.64/26.93  |   (170)   ~ (all_52_7 = all_6_1)
% 172.64/26.93  | 
% 172.64/26.93  | REDUCE: (16), (163) imply:
% 172.64/26.93  |   (171)   ~ (all_52_11 = all_6_1)
% 172.64/26.93  | 
% 172.64/26.93  | SIMP: (171) implies:
% 172.64/26.93  |   (172)   ~ (all_52_11 = all_6_1)
% 172.64/26.93  | 
% 172.64/26.93  | REDUCE: (157), (163) imply:
% 172.64/26.93  |   (173)   ~ (all_6_1 = e0)
% 172.64/26.93  | 
% 172.64/26.93  | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (12), (13), (14),
% 172.64/26.93  |            (15), (19), (20), (21), (23), (24), (25), (26), (27), (29), (30),
% 172.64/26.93  |            (31), (32), (33), (34), (35), (36), (37), (38), (39), (40), (42),
% 172.64/26.93  |            (44), (45), (46), (47), (49), (50), (51), (52), (53), (54), (55),
% 172.64/26.93  |            (58), (59), (60), (61), (62), (63), (64), (65), (66), (67), (68),
% 172.64/26.93  |            (69), (70), (71), (72), (73), (74), (75), (76), (77), (80), (82),
% 172.64/26.93  |            (83), (84), (86), (87), (89), (90), (91), (92), (93), (94), (95),
% 172.64/26.93  |            (96), (97), (98), (99), (100), (101), (102), (103), (104), (105),
% 172.64/26.93  |            (106), (107), (109), (110), (111), (112), (113), (114), (115),
% 172.64/26.93  |            (116), (117), (118), (119), (121), (122), (123), (124), (125),
% 172.64/26.93  |            (126), (127), (128), (129), (130), (131), (132), (134), (135),
% 172.64/26.93  |            (136), (137), (138), (139), (140), (141), (142), (143), (144),
% 172.64/26.93  |            (145), (146), (147), (148), (149), (150), (153), (154), (155),
% 172.64/26.93  |            (156), (158), (159), (160), (164), (165), (166), (167), (168),
% 172.64/26.93  |            (170), (172), (173) are inconsistent by sub-proof #390.
% 172.64/26.93  | 
% 172.64/26.93  End of proof
% 172.64/26.93  
% 172.64/26.93  Sub-proof #390 shows that the following formulas are inconsistent:
% 172.64/26.93  ----------------------------------------------------------------
% 172.64/26.93    (1)   ~ (all_52_12 = all_14_2)
% 172.64/26.93    (2)  op(e0, e0) = all_14_2
% 172.64/26.93    (3)  all_56_1 = all_52_4
% 172.64/26.93    (4)  all_56_15 = e0 | ((all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 172.64/26.93           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0))
% 172.64/26.93    (5)  op(e1, all_52_14) = all_58_11
% 172.64/26.93    (6)   ~ (all_10_2 = e0)
% 172.64/26.93    (7)   ~ (all_52_8 = all_52_12)
% 172.64/26.93    (8)   ~ (e3 = e1)
% 172.64/26.93    (9)  all_58_23 = all_52_7
% 172.64/26.93    (10)   ~ (all_52_4 = all_4_2)
% 172.64/26.93    (11)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.64/26.93    (12)  all_54_3 = all_52_12
% 172.64/26.93    (13)  all_56_5 = all_52_9
% 172.64/26.93    (14)  op(e2, e0) = all_52_13
% 172.64/26.93    (15)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 172.64/26.93    (16)   ~ (all_52_6 = all_4_2)
% 172.64/26.93    (17)   ~ (all_52_7 = all_6_1)
% 172.64/26.93    (18)   ~ (all_52_2 = all_6_1)
% 172.64/26.93    (19)  op(e1, e0) = all_52_14
% 172.64/26.93    (20)  all_56_15 = all_14_2
% 172.64/26.93    (21)  all_58_19 = all_6_1
% 172.64/26.93    (22)  all_54_1 = all_52_4
% 172.64/26.93    (23)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 172.64/26.93    (24)   ~ (all_52_9 = all_4_2)
% 172.64/26.93    (25)   ~ (all_52_1 = all_6_1)
% 172.64/26.93    (26)  all_54_6 = all_52_9
% 172.64/26.93    (27)  all_56_14 = all_52_11
% 172.64/26.93    (28)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 172.64/26.93    (29)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 172.64/26.93    (30)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.64/26.93    (31)  all_56_8 = all_10_2
% 172.64/26.93    (32)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.64/26.93    (33)  all_58_26 = all_10_2
% 172.64/26.93    (34)   ~ (all_52_4 = all_52_6)
% 172.64/26.93    (35)  all_58_31 = all_14_2
% 172.64/26.93    (36)   ~ (all_52_11 = all_10_2)
% 172.64/26.93    (37)   ~ (all_52_9 = all_52_13)
% 172.64/26.93    (38)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.64/26.93    (39)   ~ (all_52_4 = e0)
% 172.64/26.93    (40)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 172.64/26.93    (41)  all_54_2 = all_52_8
% 172.64/26.93    (42)  all_56_11 = all_52_14
% 172.64/26.93    (43)   ~ (all_52_6 = all_52_7)
% 172.64/26.93    (44)   ~ (all_52_9 = all_10_2)
% 172.64/26.93    (45)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.64/26.93    (46)  all_58_30 = all_52_14
% 172.64/26.93    (47)  all_58_27 = all_52_11
% 172.64/26.93    (48)  all_54_14 = all_52_11
% 172.64/26.93    (49)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 172.64/26.93    (50)  all_58_17 = all_52_1
% 172.64/26.93    (51)  all_56_9 = all_52_12
% 172.64/26.93    (52)   ~ (all_52_2 = all_52_6)
% 172.64/26.93    (53)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 172.64/26.93    (54)   ~ (e3 = e2)
% 172.64/26.93    (55)   ~ (all_52_11 = all_6_1)
% 172.64/26.93    (56)   ~ (all_52_4 = all_52_7)
% 172.64/26.93    (57)  all_58_0 = all_52_12
% 172.64/26.93    (58)   ~ (e2 = e1)
% 172.64/26.93    (59)   ~ (all_52_6 = all_10_2)
% 172.64/26.93    (60)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 172.64/26.93    (61)  op(e0, all_52_11) = all_58_14
% 172.64/26.93    (62)   ~ (all_52_2 = e0)
% 172.64/26.93    (63)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.64/26.93    (64)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 172.64/26.93    (65)   ~ (all_52_13 = all_14_2)
% 172.64/26.93    (66)   ~ (all_52_1 = all_4_2)
% 172.64/26.93    (67)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.64/26.93    (68)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.64/26.93    (69)  all_54_9 = all_52_6
% 172.64/26.93    (70)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.64/26.93    (71)   ~ (all_52_13 = all_52_14)
% 172.64/26.93    (72)  all_58_18 = all_52_2
% 172.64/26.93    (73)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.64/26.93    (74)  all_58_16 = e0
% 172.64/26.93    (75)  all_56_13 = all_52_7
% 172.64/26.93    (76)   ~ (all_52_12 = e0)
% 172.64/26.93    (77)  op(e0, all_52_7) = all_58_13
% 172.64/26.93    (78)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 172.64/26.93    (79)   ~ (all_52_8 = all_52_9)
% 172.64/26.93    (80)  all_56_2 = all_52_1
% 172.64/26.93    (81)   ~ (e3 = e0)
% 172.64/26.93    (82)  all_58_29 = all_52_13
% 172.64/26.93    (83)   ~ (all_52_1 = all_52_2)
% 172.64/26.93    (84)   ~ (all_4_2 = e0)
% 172.64/26.93    (85)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.64/26.93    (86)   ~ (all_52_6 = all_52_14)
% 172.64/26.93    (87)   ~ (all_52_7 = all_4_2)
% 172.64/26.93    (88)   ~ (all_52_8 = all_10_2)
% 172.64/26.93    (89)  all_56_4 = all_52_8
% 172.64/26.93    (90)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.64/26.93    (91)   ~ (all_52_1 = all_52_13)
% 172.64/26.93    (92)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.64/26.93    (93)  all_58_20 = all_52_4
% 172.64/26.93    (94)  all_54_15 = all_14_2
% 172.64/26.93    (95)   ~ (all_52_7 = all_52_11)
% 172.64/26.93    (96)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 172.64/26.93    (97)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 172.64/26.93    (98)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.64/26.93    (99)   ~ (all_52_8 = all_52_11)
% 172.64/26.93    (100)  all_56_12 = all_6_1
% 172.64/26.93    (101)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 172.64/26.93    (102)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 172.64/26.93    (103)  all_56_6 = all_52_2
% 172.64/26.93    (104)   ~ (all_52_1 = all_52_9)
% 172.64/26.93    (105)  all_58_24 = all_52_8
% 172.64/26.93    (106)   ~ (all_52_12 = all_52_14)
% 172.64/26.93    (107)   ~ (all_52_9 = all_52_11)
% 172.64/26.93    (108)  all_58_22 = all_52_6
% 172.64/26.93    (109)  op(all_14_2, e0) = all_14_1
% 172.64/26.93    (110)   ~ (all_52_4 = all_52_12)
% 172.64/26.93    (111)  all_56_3 = all_4_2
% 172.64/26.93    (112)   ~ (all_52_14 = all_10_2)
% 172.64/26.93    (113)   ~ (all_52_1 = e0)
% 172.64/26.93    (114)   ~ (all_52_4 = all_52_8)
% 172.64/26.93    (115)   ~ (all_52_14 = all_14_2)
% 172.64/26.93    (116)  all_58_25 = all_52_9
% 172.64/26.93    (117)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 172.64/26.93    (118)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/26.93             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/26.93    (119)   ~ (all_6_1 = e0)
% 172.64/26.93    (120)   ~ (all_52_2 = all_52_14)
% 172.64/26.93    (121)  op(e0, all_14_2) = all_58_15
% 172.64/26.93    (122)  all_58_21 = all_4_2
% 172.64/26.93    (123)  all_56_10 = all_52_13
% 172.64/26.93    (124)  op(e2, all_52_9) = all_58_6
% 172.64/26.93    (125)  all_56_0 = e0
% 172.64/26.93    (126)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.64/26.93    (127)   ~ (e2 = e0)
% 172.64/26.93    (128)  all_58_28 = all_52_12
% 172.64/26.93    (129)  op(e1, all_52_6) = all_58_9
% 172.64/26.93    (130)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.64/26.93    (131)   ~ (e1 = e0)
% 172.64/26.93    (132)  all_54_4 = all_52_1
% 172.64/26.93    (133)  all_56_7 = all_52_6
% 172.64/26.93    (134)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.64/26.93             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.64/26.93             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.64/26.93             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.64/26.93             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.64/26.93             (all_58_15 = e0))
% 172.64/26.93    (135)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 172.64/26.93    (136)   ~ (all_52_8 = e0)
% 172.64/26.93    (137)  all_54_5 = all_4_2
% 172.64/26.93    (138)  op(e2, all_52_13) = all_58_7
% 172.64/26.93    (139)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.64/26.93           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.64/26.93           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/26.93           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/26.93           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/26.93           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/26.93           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/26.93           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.64/26.93           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.64/26.93           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.64/26.93             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.64/26.93             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.64/26.93             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.64/26.93             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.64/26.93             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.64/26.93             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.64/26.93             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.64/26.93             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.64/26.93             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/26.93             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.64/26.93             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.64/26.93             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/26.93             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.64/26.93             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.64/26.93             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.64/26.93             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.64/26.93           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.64/26.93           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/26.93           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.64/26.93             all_58_30 = e0 & e1 = e0)
% 172.64/26.93    (140)  all_54_7 = all_52_13
% 172.64/26.93    (141)   ~ (all_52_2 = all_10_2)
% 172.64/26.93    (142)  all_54_11 = all_52_14
% 172.64/26.93    (143)  op(all_14_1, all_14_2) = e1
% 172.64/26.93    (144)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.64/26.93    (145)   ~ (all_52_12 = all_52_13)
% 172.64/26.93  
% 172.64/26.93  Begin of proof
% 172.64/26.93  | 
% 172.64/26.93  | BETA: splitting (4) gives:
% 172.64/26.93  | 
% 172.64/26.93  | Case 1:
% 172.64/26.93  | | 
% 172.64/26.93  | |   (146)  all_56_15 = e0
% 172.64/26.93  | | 
% 172.64/26.94  | | REF_CLOSE: (2), (20), (109), (118), (121), (131), (143), (146) are
% 172.64/26.94  | |            inconsistent by sub-proof #400.
% 172.64/26.94  | | 
% 172.64/26.94  | Case 2:
% 172.64/26.94  | | 
% 172.64/26.94  | |   (147)   ~ (all_56_15 = e0)
% 172.64/26.94  | |   (148)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) & (all_56_12 = e0
% 172.64/26.94  | |            | all_56_13 = e0 | all_56_14 = e0)
% 172.64/26.94  | | 
% 172.64/26.94  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 172.64/26.94  | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 172.64/26.94  | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 172.64/26.94  | |            (36), (37), (38), (39), (40), (41), (42), (43), (44), (45), (46),
% 172.64/26.94  | |            (47), (48), (49), (50), (51), (52), (53), (54), (55), (56), (57),
% 172.64/26.94  | |            (58), (59), (60), (61), (62), (63), (64), (65), (66), (67), (68),
% 172.64/26.94  | |            (69), (70), (71), (72), (73), (74), (75), (76), (77), (78), (79),
% 172.64/26.94  | |            (80), (81), (82), (83), (84), (85), (86), (87), (88), (89), (90),
% 172.64/26.94  | |            (91), (92), (93), (94), (95), (96), (97), (98), (99), (100),
% 172.64/26.94  | |            (101), (102), (103), (104), (105), (106), (107), (108), (110),
% 172.64/26.94  | |            (111), (112), (113), (114), (115), (116), (117), (118), (119),
% 172.64/26.94  | |            (120), (122), (123), (124), (125), (126), (127), (128), (129),
% 172.64/26.94  | |            (130), (131), (132), (133), (134), (135), (136), (137), (138),
% 172.64/26.94  | |            (139), (140), (141), (142), (144), (145), (147), (148) are
% 172.64/26.94  | |            inconsistent by sub-proof #577.
% 172.64/26.94  | | 
% 172.64/26.94  | End of split
% 172.64/26.94  | 
% 172.64/26.94  End of proof
% 172.64/26.94  
% 172.64/26.94  Sub-proof #391 shows that the following formulas are inconsistent:
% 172.64/26.94  ----------------------------------------------------------------
% 172.64/26.94    (1)  all_56_12 = all_52_3
% 172.64/26.94    (2)   ~ (all_52_8 = all_52_12)
% 172.64/26.94    (3)   ~ (e3 = e1)
% 172.64/26.94    (4)  all_58_23 = all_52_7
% 172.64/26.94    (5)   ~ (all_52_2 = all_6_2)
% 172.64/26.94    (6)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.64/26.94    (7)  all_56_5 = all_52_9
% 172.64/26.94    (8)  op(all_6_2, e3) = all_6_1
% 172.64/26.94    (9)   ~ (all_52_6 = all_4_2)
% 172.64/26.94    (10)   ~ (all_52_9 = all_4_2)
% 172.64/26.94    (11)  all_54_6 = all_52_9
% 172.64/26.94    (12)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 172.64/26.94    (13)   ~ (all_52_13 = all_4_2)
% 172.64/26.94    (14)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.64/26.94    (15)  all_58_31 = all_14_2
% 172.64/26.94    (16)   ~ (all_52_9 = all_52_13)
% 172.64/26.94    (17)   ~ (all_52_3 = all_6_2)
% 172.64/26.94    (18)   ~ (all_52_1 = all_6_2)
% 172.64/26.94    (19)  all_56_11 = all_52_14
% 172.64/26.94    (20)   ~ (all_4_1 = e0)
% 172.64/26.94    (21)  all_56_0 = all_6_2
% 172.64/26.94    (22)  all_58_30 = all_52_14
% 172.64/26.94    (23)  op(all_4_2, e2) = all_4_1
% 172.64/26.94    (24)  all_58_17 = all_52_1
% 172.64/26.94    (25)  all_58_20 = e0
% 172.64/26.94    (26)  all_58_19 = all_52_3
% 172.64/26.94    (27)  all_56_9 = all_52_12
% 172.64/26.94    (28)   ~ (all_52_2 = all_52_6)
% 172.64/26.94    (29)  all_56_2 = e0
% 172.64/26.94    (30)   ~ (e3 = e2)
% 172.64/26.94    (31)   ~ (e2 = e1)
% 172.64/26.94    (32)  all_56_1 = e0
% 172.64/26.94    (33)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.64/26.94    (34)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 172.64/26.94    (35)   ~ (all_52_1 = all_4_2)
% 172.64/26.94    (36)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.64/26.94    (37)   ~ (all_52_13 = all_52_14)
% 172.64/26.94    (38)  op(e2, e3) = all_52_1
% 172.64/26.94    (39)  all_58_18 = all_52_2
% 172.64/26.94    (40)  all_58_16 = all_6_2
% 172.64/26.94    (41)   ~ (all_52_12 = e0)
% 172.64/26.94    (42)  all_56_2 = all_52_1
% 172.64/26.94    (43)   ~ (e3 = e0)
% 172.64/26.94    (44)  all_58_29 = all_52_13
% 172.64/26.94    (45)  op(e3, e2) = e0
% 172.64/26.94    (46)  all_56_4 = all_52_8
% 172.64/26.94    (47)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.64/26.94    (48)   ~ (all_52_1 = all_52_13)
% 172.64/26.94    (49)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.64/26.94    (50)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 172.64/26.94    (51)  all_56_6 = all_52_2
% 172.64/26.94    (52)   ~ (all_52_1 = all_52_9)
% 172.64/26.94    (53)   ~ (all_52_7 = e0)
% 172.64/26.94    (54)   ~ (all_52_12 = all_52_14)
% 172.64/26.94    (55)  all_58_22 = all_52_6
% 172.64/26.94    (56)  all_56_3 = all_4_2
% 172.64/26.94    (57)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.64/26.94    (58)   ~ (all_52_14 = all_14_2)
% 172.64/26.94    (59)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/26.94            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/26.94    (60)   ~ (all_6_1 = e0)
% 172.64/26.94    (61)   ~ (all_52_2 = all_52_14)
% 172.64/26.94    (62)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 172.64/26.94    (63)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 172.64/26.94    (64)  all_58_21 = all_4_2
% 172.64/26.94    (65)  all_56_10 = all_52_13
% 172.64/26.94    (66)  op(e2, all_52_9) = all_58_6
% 172.64/26.94    (67)   ~ (e2 = e0)
% 172.64/26.94    (68)   ~ (all_52_1 = all_52_3)
% 172.64/26.94    (69)  all_58_28 = all_52_12
% 172.64/26.94    (70)   ~ (e1 = e0)
% 172.64/26.94    (71)  all_54_5 = all_4_2
% 172.64/26.94    (72)  all_54_7 = all_52_13
% 172.64/26.94    (73)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.64/26.94    (74)   ~ (all_52_12 = all_52_13)
% 172.64/26.94  
% 172.64/26.94  Begin of proof
% 172.64/26.94  | 
% 172.64/26.94  | COMBINE_EQS: (29), (42) imply:
% 172.64/26.94  |   (75)  all_52_1 = e0
% 172.64/26.94  | 
% 172.64/26.94  | REDUCE: (52), (75) imply:
% 172.64/26.94  |   (76)   ~ (all_52_9 = e0)
% 172.64/26.94  | 
% 172.64/26.94  | SIMP: (76) implies:
% 172.64/26.94  |   (77)   ~ (all_52_9 = e0)
% 172.64/26.94  | 
% 172.64/26.94  | REDUCE: (48), (75) imply:
% 172.64/26.94  |   (78)   ~ (all_52_13 = e0)
% 172.64/26.94  | 
% 172.64/26.94  | SIMP: (78) implies:
% 172.64/26.94  |   (79)   ~ (all_52_13 = e0)
% 172.64/26.94  | 
% 172.64/26.94  | REDUCE: (35), (75) imply:
% 172.64/26.94  |   (80)   ~ (all_4_2 = e0)
% 172.64/26.94  | 
% 172.64/26.94  | SIMP: (80) implies:
% 172.64/26.94  |   (81)   ~ (all_4_2 = e0)
% 172.64/26.94  | 
% 172.64/26.94  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 172.64/26.94  |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 172.64/26.94  |            (24), (25), (26), (27), (28), (30), (31), (32), (33), (34), (36),
% 172.64/26.94  |            (37), (38), (39), (40), (41), (42), (43), (44), (45), (46), (47),
% 172.64/26.94  |            (48), (49), (50), (51), (52), (53), (54), (55), (56), (57), (58),
% 172.64/26.94  |            (59), (60), (61), (62), (63), (64), (65), (66), (67), (68), (69),
% 172.64/26.94  |            (70), (71), (72), (73), (74), (77), (79), (81) are inconsistent by
% 172.64/26.94  |            sub-proof #694.
% 172.64/26.94  | 
% 172.64/26.94  End of proof
% 172.64/26.94  
% 172.64/26.94  Sub-proof #392 shows that the following formulas are inconsistent:
% 172.64/26.94  ----------------------------------------------------------------
% 172.64/26.94    (1)  all_56_1 = all_52_4
% 172.64/26.94    (2)  all_58_23 = all_52_7
% 172.64/26.94    (3)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.64/26.94    (4)   ~ (all_52_4 = all_4_2)
% 172.64/26.94    (5)  op(e2, e3) = e0
% 172.64/26.94    (6)  op(e3, all_52_4) = all_58_1
% 172.64/26.94    (7)  all_54_1 = all_52_4
% 172.64/26.94    (8)  op(all_10_2, e1) = all_10_1
% 172.64/26.94    (9)   ~ (all_14_2 = e0)
% 172.64/26.94    (10)   ~ (all_52_13 = all_4_2)
% 172.64/26.94    (11)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.64/26.94    (12)  all_58_31 = all_14_2
% 172.64/26.94    (13)   ~ (all_52_4 = e0)
% 172.64/26.94    (14)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 172.64/26.94    (15)  all_54_2 = all_52_8
% 172.64/26.94    (16)  all_58_30 = all_52_14
% 172.64/26.94    (17)  op(e3, e1) = all_52_8
% 172.64/26.94    (18)  all_58_22 = e0
% 172.64/26.94    (19)   ~ (e2 = e1)
% 172.64/26.94    (20)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 172.64/26.94    (21)  all_58_28 = e0
% 172.64/26.94    (22)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.64/26.94    (23)   ~ (all_52_13 = all_52_14)
% 172.64/26.94    (24)  all_58_16 = all_6_2
% 172.64/26.94    (25)   ~ (all_52_4 = all_6_2)
% 172.64/26.94    (26)  all_58_29 = all_52_13
% 172.64/26.94    (27)   ~ (all_6_2 = e0)
% 172.64/26.94    (28)   ~ (all_52_8 = all_10_2)
% 172.64/26.94    (29)  all_56_4 = all_52_8
% 172.64/26.94    (30)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 172.64/26.94    (31)  all_58_20 = all_52_4
% 172.64/26.94    (32)  all_54_10 = all_10_2
% 172.64/26.94    (33)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 172.64/26.94    (34)  all_58_17 = e0
% 172.64/26.94    (35)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.64/26.94    (36)   ~ (all_52_8 = all_6_2)
% 172.64/26.94    (37)   ~ (all_52_7 = e0)
% 172.64/26.94    (38)   ~ (all_52_14 = all_10_2)
% 172.64/26.94    (39)   ~ (all_52_4 = all_52_8)
% 172.64/26.94    (40)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/26.94            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/26.94    (41)  all_58_18 = e2
% 172.64/26.94    (42)  all_58_21 = all_4_2
% 172.64/26.94    (43)   ~ (e2 = e0)
% 172.64/26.94    (44)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.64/26.94    (45)   ~ (e1 = e0)
% 172.64/26.94    (46)   ~ (all_52_8 = e0)
% 172.64/26.94    (47)  op(all_10_1, all_10_2) = all_10_0
% 172.64/26.94    (48)  op(e2, all_52_13) = all_58_7
% 172.64/26.94    (49)   ~ (all_10_0 = e0)
% 172.64/26.94    (50)  all_54_7 = all_52_13
% 172.64/26.94  
% 172.64/26.94  Begin of proof
% 172.64/26.94  | 
% 172.64/26.94  | BETA: splitting (3) gives:
% 172.64/26.94  | 
% 172.64/26.94  | Case 1:
% 172.64/26.94  | | 
% 172.64/26.94  | |   (51)  all_58_18 = e1
% 172.64/26.94  | | 
% 172.64/26.94  | | COMBINE_EQS: (41), (51) imply:
% 172.64/26.94  | |   (52)  e2 = e1
% 172.64/26.94  | | 
% 172.64/26.94  | | REDUCE: (19), (52) imply:
% 172.64/26.94  | |   (53)  $false
% 172.64/26.94  | | 
% 172.64/26.94  | | CLOSE: (53) is inconsistent.
% 172.64/26.94  | | 
% 172.64/26.94  | Case 2:
% 172.64/26.94  | | 
% 172.64/26.94  | |   (54)  all_58_16 = e3 | all_58_17 = e2
% 172.64/26.94  | | 
% 172.64/26.94  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 172.64/26.94  | |            (14), (15), (16), (17), (18), (20), (21), (22), (23), (24), (25),
% 172.64/26.94  | |            (26), (27), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 172.64/26.94  | |            (37), (38), (39), (40), (42), (43), (44), (45), (46), (47), (48),
% 172.64/26.94  | |            (49), (50), (54) are inconsistent by sub-proof #687.
% 172.64/26.94  | | 
% 172.64/26.94  | End of split
% 172.64/26.94  | 
% 172.64/26.94  End of proof
% 172.64/26.94  
% 172.64/26.94  Sub-proof #393 shows that the following formulas are inconsistent:
% 172.64/26.94  ----------------------------------------------------------------
% 172.64/26.94    (1)  all_56_1 = all_52_4
% 172.64/26.94    (2)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.64/26.94    (3)   ~ (all_52_8 = all_52_12)
% 172.64/26.94    (4)   ~ (e3 = e1)
% 172.64/26.94    (5)   ~ (all_52_2 = all_6_2)
% 172.64/26.94    (6)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.64/26.94    (7)  all_56_5 = all_52_9
% 172.64/26.94    (8)  op(all_6_2, e3) = all_6_1
% 172.64/26.94    (9)  op(e2, e3) = e0
% 172.64/26.94    (10)   ~ (all_14_2 = e0)
% 172.64/26.94    (11)   ~ (all_52_9 = all_4_2)
% 172.64/26.94    (12)  all_54_6 = all_52_9
% 172.64/26.94    (13)   ~ (all_52_13 = all_4_2)
% 172.64/26.94    (14)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.64/26.94    (15)  all_58_26 = all_10_2
% 172.64/26.94    (16)  all_58_31 = all_14_2
% 172.64/26.94    (17)   ~ (all_52_9 = all_52_13)
% 172.64/26.94    (18)   ~ (all_52_4 = e0)
% 172.64/26.94    (19)  all_56_9 = e0
% 172.64/26.94    (20)  all_56_0 = all_6_2
% 172.64/26.94    (21)  all_58_30 = all_52_14
% 172.64/26.94    (22)  all_58_22 = e0
% 172.64/26.94    (23)   ~ (e3 = e2)
% 172.64/26.94    (24)   ~ (all_52_2 = e0)
% 172.64/26.94    (25)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 172.64/26.94    (26)  all_58_28 = e0
% 172.64/26.94    (27)  all_58_18 = all_52_2
% 172.64/26.94    (28)  all_58_16 = all_6_2
% 172.64/26.94    (29)   ~ (all_52_8 = all_52_9)
% 172.64/26.94    (30)  all_58_29 = all_52_13
% 172.64/26.94    (31)   ~ (all_6_2 = e0)
% 172.64/26.94    (32)  all_56_4 = all_52_8
% 172.64/26.94    (33)  all_58_20 = all_52_4
% 172.64/26.94    (34)  all_58_17 = e0
% 172.64/26.94    (35)  all_56_0 = e2
% 172.64/26.94    (36)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 172.64/26.94    (37)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.64/26.94    (38)   ~ (all_52_4 = all_52_8)
% 172.64/26.94    (39)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 172.64/26.94    (40)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/26.94            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/26.94    (41)   ~ (all_6_1 = e0)
% 172.64/26.94    (42)   ~ (all_52_2 = all_52_14)
% 172.64/26.94    (43)  all_58_21 = all_4_2
% 172.64/26.94    (44)  op(e2, all_52_9) = all_58_6
% 172.64/26.94    (45)  all_58_28 = all_52_12
% 172.64/26.94    (46)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.64/26.94          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.64/26.94          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/26.94          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/26.94          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/26.94          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/26.94          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/26.94          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.64/26.94          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.64/26.94          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.64/26.94            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.64/26.94            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.64/26.94            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.64/26.94            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.64/26.94            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.64/26.94            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.64/26.94            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.64/26.94            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.64/26.94            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/26.94            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.64/26.94            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.64/26.94            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/26.94            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.64/26.94            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.64/26.94            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.64/26.94            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.64/26.94          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.64/26.94          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/26.94          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.64/26.94            all_58_30 = e0 & e1 = e0)
% 172.64/26.94    (47)  all_54_7 = all_52_13
% 172.64/26.94    (48)   ~ (all_52_2 = all_10_2)
% 172.64/26.94    (49)   ~ (all_52_12 = all_52_13)
% 172.64/26.94  
% 172.64/26.94  Begin of proof
% 172.64/26.94  | 
% 172.64/26.94  | COMBINE_EQS: (20), (35) imply:
% 172.64/26.94  |   (50)  all_6_2 = e2
% 172.64/26.94  | 
% 172.64/26.94  | COMBINE_EQS: (28), (50) imply:
% 172.64/26.94  |   (51)  all_58_16 = e2
% 172.64/26.94  | 
% 172.64/26.94  | REDUCE: (5), (50) imply:
% 172.64/26.94  |   (52)   ~ (all_52_2 = e2)
% 172.64/26.94  | 
% 172.64/26.94  | REDUCE: (31), (50) imply:
% 172.64/26.94  |   (53)   ~ (e2 = e0)
% 172.64/26.94  | 
% 172.64/26.94  | REDUCE: (8), (50) imply:
% 172.64/26.94  |   (54)  op(e2, e3) = all_6_1
% 172.64/26.94  | 
% 172.64/26.94  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (9), (10), (11), (12), (13), (14),
% 172.64/26.94  |            (15), (16), (17), (18), (19), (21), (22), (23), (24), (25), (26),
% 172.64/26.94  |            (27), (29), (30), (32), (33), (34), (35), (36), (37), (38), (39),
% 172.64/26.94  |            (40), (41), (42), (43), (44), (45), (46), (47), (48), (49), (51),
% 172.64/26.94  |            (52), (53), (54) are inconsistent by sub-proof #407.
% 172.64/26.94  | 
% 172.64/26.94  End of proof
% 172.64/26.94  
% 172.64/26.94  Sub-proof #394 shows that the following formulas are inconsistent:
% 172.64/26.94  ----------------------------------------------------------------
% 172.64/26.94    (1)   ~ (all_52_12 = all_14_2)
% 172.64/26.94    (2)  all_54_8 = all_52_2
% 172.64/26.94    (3)  all_56_12 = all_52_3
% 172.64/26.94    (4)  op(e1, e3) = all_52_2
% 172.64/26.94    (5)   ~ (e3 = e1)
% 172.64/26.94    (6)   ~ (all_52_2 = all_6_2)
% 172.64/26.94    (7)   ~ (all_52_3 = all_14_2)
% 172.64/26.94    (8)   ~ (all_52_4 = all_4_2)
% 172.64/26.94    (9)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.64/26.94    (10)  all_56_5 = all_52_9
% 172.64/26.94    (11)   ~ (all_52_12 = all_6_2)
% 172.64/26.94    (12)   ~ (all_52_6 = all_4_2)
% 172.64/26.94    (13)  all_56_15 = all_14_2
% 172.64/26.94    (14)   ~ (all_52_11 = all_14_2)
% 172.64/26.94    (15)  all_54_1 = all_52_4
% 172.64/26.94    (16)  op(all_10_2, e1) = all_10_1
% 172.64/26.94    (17)   ~ (all_14_2 = e0)
% 172.64/26.94    (18)  op(e1, all_10_2) = all_58_10
% 172.64/26.94    (19)   ~ (all_52_9 = all_4_2)
% 172.64/26.94    (20)  op(e1, e1) = all_10_2
% 172.64/26.94    (21)  all_54_6 = all_52_9
% 172.64/26.94    (22)  all_56_14 = all_52_11
% 172.64/26.94    (23)   ~ (all_52_13 = all_4_2)
% 172.64/26.94    (24)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.64/26.94    (25)  all_56_8 = all_10_2
% 172.64/26.94    (26)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.64/26.94    (27)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 172.64/26.94    (28)  all_58_30 = e0
% 172.64/26.94    (29)   ~ (all_52_9 = e0)
% 172.64/26.94    (30)  all_58_26 = all_10_2
% 172.64/26.94    (31)   ~ (all_52_4 = all_52_6)
% 172.64/26.94    (32)  all_58_31 = all_14_2
% 172.64/26.94    (33)   ~ (all_52_11 = all_10_2)
% 172.64/26.94    (34)   ~ (all_52_9 = all_52_13)
% 172.64/26.94    (35)   ~ (all_52_3 = all_6_2)
% 172.64/26.94    (36)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.64/26.94    (37)  all_56_0 = all_6_2
% 172.64/26.94    (38)   ~ (all_52_9 = all_10_2)
% 172.64/26.94    (39)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.64/26.94    (40)  all_58_27 = all_52_11
% 172.64/26.94    (41)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 172.64/26.94    (42)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.64/26.94    (43)  all_58_19 = all_52_3
% 172.64/26.94    (44)  all_56_9 = all_52_12
% 172.64/26.94    (45)   ~ (all_52_2 = all_52_6)
% 172.64/26.94    (46)  all_56_2 = e0
% 172.64/26.94    (47)  all_56_4 = e0
% 172.64/26.94    (48)   ~ (e3 = e2)
% 172.64/26.94    (49)   ~ (e2 = e1)
% 172.64/26.94    (50)   ~ (all_14_1 = e2) |  ~ (all_14_2 = e3)
% 172.64/26.94    (51)   ~ (all_52_2 = e0)
% 172.64/26.94    (52)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.64/26.94    (53)   ~ (all_52_13 = all_14_2)
% 172.64/26.94    (54)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.64/26.94    (55)  all_54_9 = all_52_6
% 172.64/26.94    (56)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.64/26.94    (57)  all_58_18 = all_52_2
% 172.64/26.94    (58)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.64/26.94    (59)  all_58_16 = all_6_2
% 172.64/26.94    (60)   ~ (all_52_4 = all_6_2)
% 172.64/26.94    (61)   ~ (e3 = e0)
% 172.64/26.94    (62)  op(e3, e0) = all_52_12
% 172.64/26.94    (63)  all_58_29 = all_52_13
% 172.64/26.94    (64)   ~ (all_52_13 = e0)
% 172.64/26.94    (65)   ~ (all_4_2 = e0)
% 172.64/26.94    (66)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.64/26.94    (67)   ~ (all_6_2 = e0)
% 172.64/26.94    (68)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 172.64/26.94    (69)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.64/26.94    (70)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 172.64/26.94    (71)  all_54_15 = all_14_2
% 172.64/26.94    (72)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 172.64/26.94    (73)  all_58_17 = e0
% 172.64/26.94    (74)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 172.64/26.94    (75)  all_56_11 = e0
% 172.64/26.94    (76)  all_56_6 = all_52_2
% 172.64/26.94    (77)   ~ (all_52_9 = all_52_11)
% 172.64/26.94    (78)  op(all_14_2, e0) = all_14_1
% 172.64/26.94    (79)  all_56_3 = all_4_2
% 172.64/26.94    (80)  all_54_0 = all_6_2
% 172.64/26.94    (81)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 172.64/26.94    (82)  all_58_24 = e0
% 172.64/26.94    (83)   ~ (all_52_11 = e0)
% 172.64/26.94    (84)   ~ (all_52_2 = all_52_3)
% 172.64/26.94    (85)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 172.64/26.94    (86)  all_58_25 = all_52_9
% 172.64/26.94    (87)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/26.94            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/26.94    (88)  all_54_12 = all_52_3
% 172.64/26.94    (89)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 172.64/26.94    (90)  all_58_21 = all_4_2
% 172.64/26.94    (91)  all_56_10 = all_52_13
% 172.64/26.94    (92)   ~ (all_52_3 = e0)
% 172.64/26.94    (93)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.64/26.94    (94)   ~ (e2 = e0)
% 172.64/26.94    (95)  all_58_28 = all_52_12
% 172.64/26.94    (96)  op(e1, all_52_6) = all_58_9
% 172.64/26.94    (97)   ~ (e1 = e0)
% 172.64/26.94    (98)  all_56_7 = all_52_6
% 172.64/26.94    (99)  all_54_5 = all_4_2
% 172.64/26.94    (100)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.64/26.94           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.64/26.94           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/26.94           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/26.94           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/26.94           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/26.94           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/26.94           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.64/26.94           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.64/26.94           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.64/26.94             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.64/26.94             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.64/26.94             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.64/26.94             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.64/26.94             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.64/26.94             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.64/26.94             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.64/26.94             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.64/26.94             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/26.94             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.64/26.94             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.64/26.94             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/26.94             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.64/26.94             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.64/26.94             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.64/26.94             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.64/26.94           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.64/26.94           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/26.94           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.64/26.94             all_58_30 = e0 & e1 = e0)
% 172.64/26.94    (101)  all_58_23 = e0
% 172.64/26.94    (102)   ~ (all_52_2 = all_10_2)
% 172.64/26.94    (103)   ~ (all_10_1 = e0)
% 172.64/26.94    (104)  op(all_14_1, all_14_2) = e1
% 172.64/26.94  
% 172.64/26.94  Begin of proof
% 172.64/26.94  | 
% 172.64/26.94  | BETA: splitting (26) gives:
% 172.64/26.94  | 
% 172.64/26.94  | Case 1:
% 172.64/26.94  | | 
% 172.64/26.94  | |   (105)  all_58_31 = e0
% 172.64/26.94  | | 
% 172.64/26.94  | | COMBINE_EQS: (32), (105) imply:
% 172.64/26.94  | |   (106)  all_14_2 = e0
% 172.64/26.94  | | 
% 172.64/26.94  | | REDUCE: (17), (106) imply:
% 172.64/26.94  | |   (107)  $false
% 172.64/26.94  | | 
% 172.64/26.94  | | CLOSE: (107) is inconsistent.
% 172.64/26.94  | | 
% 172.64/26.94  | Case 2:
% 172.64/26.94  | | 
% 172.64/26.94  | |   (108)   ~ (all_58_31 = e0)
% 172.64/26.94  | |   (109)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.64/26.94  | | 
% 172.64/26.94  | | BETA: splitting (9) gives:
% 172.64/26.94  | | 
% 172.64/26.94  | | Case 1:
% 172.64/26.94  | | | 
% 172.64/26.94  | | |   (110)  all_58_19 = e0
% 172.64/26.94  | | | 
% 172.64/26.94  | | | COMBINE_EQS: (43), (110) imply:
% 172.64/26.94  | | |   (111)  all_52_3 = e0
% 172.64/26.94  | | | 
% 172.64/26.94  | | | REDUCE: (92), (111) imply:
% 172.64/26.94  | | |   (112)  $false
% 172.64/26.94  | | | 
% 172.64/26.94  | | | CLOSE: (112) is inconsistent.
% 172.64/26.94  | | | 
% 172.64/26.94  | | Case 2:
% 172.64/26.94  | | | 
% 172.64/26.94  | | |   (113)   ~ (all_58_19 = e0)
% 172.64/26.94  | | |   (114)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.64/26.94  | | | 
% 172.64/26.94  | | | BETA: splitting (39) gives:
% 172.64/26.94  | | | 
% 172.64/26.94  | | | Case 1:
% 172.64/26.94  | | | | 
% 172.64/26.94  | | | |   (115)  all_58_27 = e0
% 172.64/26.94  | | | | 
% 172.64/26.94  | | | | COMBINE_EQS: (40), (115) imply:
% 172.64/26.94  | | | |   (116)  all_52_11 = e0
% 172.64/26.94  | | | | 
% 172.64/26.94  | | | | REDUCE: (83), (116) imply:
% 172.64/26.94  | | | |   (117)  $false
% 172.64/26.94  | | | | 
% 172.64/26.94  | | | | CLOSE: (117) is inconsistent.
% 172.64/26.94  | | | | 
% 172.64/26.94  | | | Case 2:
% 172.64/26.94  | | | | 
% 172.64/26.94  | | | |   (118)   ~ (all_58_27 = e0)
% 172.64/26.94  | | | |   (119)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.64/26.94  | | | | 
% 172.64/26.94  | | | | BETA: splitting (93) gives:
% 172.64/26.94  | | | | 
% 172.64/26.94  | | | | Case 1:
% 172.64/26.94  | | | | | 
% 172.64/26.94  | | | | |   (120)  all_56_2 = e1
% 172.64/26.94  | | | | | 
% 172.64/26.94  | | | | | REF_CLOSE: (46), (97), (120) are inconsistent by sub-proof #935.
% 172.64/26.94  | | | | | 
% 172.64/26.94  | | | | Case 2:
% 172.64/26.94  | | | | | 
% 172.64/26.94  | | | | |   (121)   ~ (all_56_2 = e1)
% 172.64/26.94  | | | | |   (122)  all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.64/26.94  | | | | | 
% 172.64/26.94  | | | | | REDUCE: (46), (121) imply:
% 172.64/26.94  | | | | |   (123)   ~ (e1 = e0)
% 172.64/26.94  | | | | | 
% 172.64/26.94  | | | | | BETA: splitting (41) gives:
% 172.64/26.94  | | | | | 
% 172.64/26.94  | | | | | Case 1:
% 172.64/26.94  | | | | | | 
% 172.64/26.94  | | | | | |   (124)  all_56_6 = e1
% 172.64/26.95  | | | | | | 
% 172.64/26.95  | | | | | | COMBINE_EQS: (76), (124) imply:
% 172.64/26.95  | | | | | |   (125)  all_52_2 = e1
% 172.64/26.95  | | | | | | 
% 172.64/26.95  | | | | | | SIMP: (125) implies:
% 172.64/26.95  | | | | | |   (126)  all_52_2 = e1
% 172.64/26.95  | | | | | | 
% 172.64/26.95  | | | | | | COMBINE_EQS: (57), (126) imply:
% 172.64/26.95  | | | | | |   (127)  all_58_18 = e1
% 172.64/26.95  | | | | | | 
% 172.64/26.95  | | | | | | REDUCE: (102), (126) imply:
% 172.64/26.95  | | | | | |   (128)   ~ (all_10_2 = e1)
% 172.64/26.95  | | | | | | 
% 172.64/26.95  | | | | | | SIMP: (128) implies:
% 172.64/26.95  | | | | | |   (129)   ~ (all_10_2 = e1)
% 172.64/26.95  | | | | | | 
% 172.64/26.95  | | | | | | REDUCE: (6), (126) imply:
% 172.64/26.95  | | | | | |   (130)   ~ (all_6_2 = e1)
% 172.64/26.95  | | | | | | 
% 172.64/26.95  | | | | | | SIMP: (130) implies:
% 172.64/26.95  | | | | | |   (131)   ~ (all_6_2 = e1)
% 172.64/26.95  | | | | | | 
% 172.64/26.95  | | | | | | BETA: splitting (119) gives:
% 172.64/26.95  | | | | | | 
% 172.64/26.95  | | | | | | Case 1:
% 172.64/26.95  | | | | | | | 
% 172.64/26.95  | | | | | | |   (132)  all_58_26 = e1
% 172.64/26.95  | | | | | | | 
% 172.64/26.95  | | | | | | | REF_CLOSE: (30), (129), (132) are inconsistent by sub-proof #968.
% 172.64/26.95  | | | | | | | 
% 172.64/26.95  | | | | | | Case 2:
% 172.64/26.95  | | | | | | | 
% 172.64/26.95  | | | | | | |   (133)   ~ (all_58_26 = e1)
% 172.64/26.95  | | | | | | |   (134)  all_58_24 = e3 | all_58_25 = e2
% 172.64/26.95  | | | | | | | 
% 172.64/26.95  | | | | | | | BETA: splitting (134) gives:
% 172.64/26.95  | | | | | | | 
% 172.64/26.95  | | | | | | | Case 1:
% 172.64/26.95  | | | | | | | | 
% 172.64/26.95  | | | | | | | |   (135)  all_58_25 = e2
% 172.64/26.95  | | | | | | | | 
% 172.64/26.95  | | | | | | | | COMBINE_EQS: (86), (135) imply:
% 172.64/26.95  | | | | | | | |   (136)  all_52_9 = e2
% 172.64/26.95  | | | | | | | | 
% 172.64/26.95  | | | | | | | | SIMP: (136) implies:
% 172.64/26.95  | | | | | | | |   (137)  all_52_9 = e2
% 172.64/26.95  | | | | | | | | 
% 172.64/26.95  | | | | | | | | REDUCE: (19), (137) imply:
% 172.64/26.95  | | | | | | | |   (138)   ~ (all_4_2 = e2)
% 172.64/26.95  | | | | | | | | 
% 172.64/26.95  | | | | | | | | SIMP: (138) implies:
% 172.64/26.95  | | | | | | | |   (139)   ~ (all_4_2 = e2)
% 172.64/26.95  | | | | | | | | 
% 172.64/26.95  | | | | | | | | BETA: splitting (100) gives:
% 172.64/26.95  | | | | | | | | 
% 172.64/26.95  | | | | | | | | Case 1:
% 172.64/26.95  | | | | | | | | | 
% 172.64/26.95  | | | | | | | | |   (140)  all_58_31 = e0
% 172.64/26.95  | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | COMBINE_EQS: (32), (140) imply:
% 172.64/26.95  | | | | | | | | |   (141)  all_14_2 = e0
% 172.64/26.95  | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | REDUCE: (17), (141) imply:
% 172.64/26.95  | | | | | | | | |   (142)  $false
% 172.64/26.95  | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | CLOSE: (142) is inconsistent.
% 172.64/26.95  | | | | | | | | | 
% 172.64/26.95  | | | | | | | | Case 2:
% 172.64/26.95  | | | | | | | | | 
% 172.64/26.95  | | | | | | | | |   (143)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 |
% 172.64/26.95  | | | | | | | | |          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 172.64/26.95  | | | | | | | | |            all_58_24 = e1) | (all_58_17 = e3 & all_58_19 = e0
% 172.64/26.95  | | | | | | | | |            & all_58_20 = e3 & all_58_28 = e0) | (all_58_17 =
% 172.64/26.95  | | | | | | | | |            e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 =
% 172.64/26.95  | | | | | | | | |            e2) | (all_58_17 = e3 & all_58_20 = e3 & all_58_23
% 172.64/26.95  | | | | | | | | |            = e2 & all_58_29 = e2) | (all_58_17 = e2 &
% 172.64/26.95  | | | | | | | | |            all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/26.95  | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 &
% 172.64/26.95  | | | | | | | | |            all_58_28 = e3) | (all_58_17 = e2 & all_58_20 = e2
% 172.64/26.95  | | | | | | | | |            & all_58_22 = e1 & all_58_25 = e1) | (all_58_17 =
% 172.64/26.95  | | | | | | | | |            e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 =
% 172.64/26.95  | | | | | | | | |            e0) | (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 172.64/26.95  | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 172.64/26.95  | | | | | | | | |            all_58_28 = e0) | (all_58_18 = e3 & all_58_22 = e1
% 172.64/26.95  | | | | | | | | |            & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 =
% 172.64/26.95  | | | | | | | | |            e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30 =
% 172.64/26.95  | | | | | | | | |            e1) | (all_58_18 = e1 & all_58_19 = e3 & all_58_24
% 172.64/26.95  | | | | | | | | |            = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.64/26.95  | | | | | | | | |            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 172.64/26.95  | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 172.64/26.95  | | | | | | | | |            all_58_30 = e0) | (all_58_18 = e1 & all_58_24 = e1
% 172.64/26.95  | | | | | | | | |            & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.64/26.95  | | | | | | | | |            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3
% 172.64/26.95  | | | | | | | | |            & all_58_27 = e0 & all_58_28 = e3 & all_58_30 = e0)
% 172.64/26.95  | | | | | | | | |          | (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 172.64/26.95  | | | | | | | | |            all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1
% 172.64/26.95  | | | | | | | | |            & all_58_28 = e0 & all_58_30 = e1) | (all_58_19 =
% 172.64/26.95  | | | | | | | | |            e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2 &
% 172.64/26.95  | | | | | | | | |            all_58_23 = e0 & all_58_25 = e2 & all_58_29 = e0) |
% 172.64/26.95  | | | | | | | | |          (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.64/26.95  | | | | | | | | |            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2
% 172.64/26.95  | | | | | | | | |            & all_58_25 = e1 & all_58_29 = e2) | (all_58_22 =
% 172.64/26.95  | | | | | | | | |            e1 & all_58_25 = e1 & all_58_27 = e0 & all_58_30 =
% 172.64/26.95  | | | | | | | | |            e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.64/26.95  | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 172.64/26.95  | | | | | | | | |            all_58_30 = e0) | (all_58_23 = e0 & all_58_27 = e1
% 172.64/26.95  | | | | | | | | |            & all_58_29 = e0 & all_58_30 = e1) | (all_58_23 =
% 172.64/26.95  | | | | | | | | |            e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.64/26.95  | | | | | | | | |            all_58_30 = e0 & e1 = e0)
% 172.64/26.95  | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | BETA: splitting (143) gives:
% 172.64/26.95  | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | Case 1:
% 172.64/26.95  | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | |   (144)  all_58_26 = e1
% 172.64/26.95  | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | REF_CLOSE: (30), (129), (144) are inconsistent by sub-proof
% 172.64/26.95  | | | | | | | | | |            #968.
% 172.64/26.95  | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | Case 2:
% 172.64/26.95  | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | |   (145)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3 &
% 172.64/26.95  | | | | | | | | | |            all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1)
% 172.64/26.95  | | | | | | | | | |          | (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3
% 172.64/26.95  | | | | | | | | | |            & all_58_28 = e0) | (all_58_17 = e3 & all_58_20 =
% 172.64/26.95  | | | | | | | | | |            e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/26.95  | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 172.64/26.95  | | | | | | | | | |            all_58_29 = e2) | (all_58_17 = e2 & all_58_18 =
% 172.64/26.95  | | | | | | | | | |            e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/26.95  | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 &
% 172.64/26.95  | | | | | | | | | |            all_58_28 = e3) | (all_58_17 = e2 & all_58_20 =
% 172.64/26.95  | | | | | | | | | |            e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.64/26.95  | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 172.64/26.95  | | | | | | | | | |            all_58_29 = e0) | (all_58_17 = e2 & all_58_20 =
% 172.64/26.95  | | | | | | | | | |            e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 = e0
% 172.64/26.95  | | | | | | | | | |            & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 =
% 172.64/26.95  | | | | | | | | | |            e3 & all_58_22 = e1 & all_58_24 = e3 & all_58_25
% 172.64/26.95  | | | | | | | | | |            = e1) | (all_58_18 = e3 & all_58_24 = e3 &
% 172.64/26.95  | | | | | | | | | |            all_58_27 = e1 & all_58_30 = e1) | (all_58_18 =
% 172.64/26.95  | | | | | | | | | |            e1 & all_58_19 = e3 & all_58_24 = e1 & all_58_28
% 172.64/26.95  | | | | | | | | | |            = e3) | (all_58_18 = e1 & all_58_22 = e2 &
% 172.64/26.95  | | | | | | | | | |            all_58_24 = e1 & all_58_25 = e2) | (all_58_18 =
% 172.64/26.95  | | | | | | | | | |            e1 & all_58_24 = e1 & all_58_27 = e0 & all_58_30
% 172.64/26.95  | | | | | | | | | |            = e0) | (all_58_18 = e1 & all_58_24 = e1 & e3 =
% 172.64/26.95  | | | | | | | | | |            e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.64/26.95  | | | | | | | | | |            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 =
% 172.64/26.95  | | | | | | | | | |            e3 & all_58_27 = e0 & all_58_28 = e3 & all_58_30
% 172.64/26.95  | | | | | | | | | |            = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/26.95  | | | | | | | | | |            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 =
% 172.64/26.95  | | | | | | | | | |            e0 & all_58_27 = e1 & all_58_28 = e0 & all_58_30
% 172.64/26.95  | | | | | | | | | |            = e1) | (all_58_19 = e0 & all_58_28 = e0 & e3 =
% 172.64/26.95  | | | | | | | | | |            e0) | (all_58_22 = e2 & all_58_23 = e0 &
% 172.64/26.95  | | | | | | | | | |            all_58_25 = e2 & all_58_29 = e0) | (all_58_22 =
% 172.64/26.95  | | | | | | | | | |            e2 & all_58_25 = e2 & all_58_27 = e1 & all_58_30
% 172.64/26.95  | | | | | | | | | |            = e1) | (all_58_22 = e1 & all_58_23 = e2 &
% 172.64/26.95  | | | | | | | | | |            all_58_25 = e1 & all_58_29 = e2) | (all_58_22 =
% 172.64/26.95  | | | | | | | | | |            e1 & all_58_25 = e1 & all_58_27 = e0 & all_58_30
% 172.64/26.95  | | | | | | | | | |            = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 =
% 172.64/26.95  | | | | | | | | | |            e1) | (all_58_23 = e2 & all_58_27 = e0 &
% 172.64/26.95  | | | | | | | | | |            all_58_29 = e2 & all_58_30 = e0) | (all_58_23 =
% 172.64/26.95  | | | | | | | | | |            e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30
% 172.64/26.95  | | | | | | | | | |            = e1) | (all_58_23 = e0 & all_58_29 = e0 & e2 =
% 172.64/26.95  | | | | | | | | | |            e0) | (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 172.64/26.95  | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | BETA: splitting (145) gives:
% 172.64/26.95  | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | Case 1:
% 172.64/26.95  | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | |   (146)  all_58_21 = e2
% 172.64/26.95  | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | COMBINE_EQS: (90), (146) imply:
% 172.64/26.95  | | | | | | | | | | |   (147)  all_4_2 = e2
% 172.64/26.95  | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | REDUCE: (139), (147) imply:
% 172.64/26.95  | | | | | | | | | | |   (148)  $false
% 172.64/26.95  | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | CLOSE: (148) is inconsistent.
% 172.64/26.95  | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | Case 2:
% 172.64/26.95  | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | |   (149)  all_58_16 = e3 | (all_58_17 = e3 & all_58_18 = e1
% 172.64/26.95  | | | | | | | | | | |            & all_58_20 = e3 & all_58_24 = e1) | (all_58_17
% 172.64/26.95  | | | | | | | | | | |            = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 172.64/26.95  | | | | | | | | | | |            all_58_28 = e0) | (all_58_17 = e3 & all_58_20 =
% 172.64/26.95  | | | | | | | | | | |            e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/26.95  | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 172.64/26.95  | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 172.64/26.95  | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/26.95  | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 172.64/26.95  | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 172.64/26.95  | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.64/26.95  | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 172.64/26.95  | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 172.64/26.95  | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 172.64/26.95  | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 172.64/26.95  | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 172.64/26.95  | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 172.64/26.95  | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 172.64/26.95  | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 172.64/26.95  | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 172.64/26.95  | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 172.64/26.95  | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 172.64/26.95  | | | | | | | | | | |            & all_58_30 = e0) | (all_58_18 = e1 & all_58_24
% 172.64/26.95  | | | | | | | | | | |            = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 =
% 172.64/26.95  | | | | | | | | | | |            e0 & all_58_28 = e3 & all_58_29 = e0) |
% 172.64/26.95  | | | | | | | | | | |          (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3
% 172.64/26.95  | | | | | | | | | | |            & all_58_30 = e0) | (all_58_19 = e0 & all_58_23
% 172.64/26.95  | | | | | | | | | | |            = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 172.64/26.95  | | | | | | | | | | |          (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0
% 172.64/26.95  | | | | | | | | | | |            & all_58_30 = e1) | (all_58_19 = e0 & all_58_28
% 172.64/26.95  | | | | | | | | | | |            = e0 & e3 = e0) | (all_58_22 = e2 & all_58_23 =
% 172.64/26.95  | | | | | | | | | | |            e0 & all_58_25 = e2 & all_58_29 = e0) |
% 172.64/26.95  | | | | | | | | | | |          (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 172.64/26.95  | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 172.64/26.95  | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 172.64/26.95  | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 172.64/26.95  | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 172.64/26.95  | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 172.64/26.95  | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.64/26.95  | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 172.64/26.95  | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 172.64/26.95  | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 172.64/26.95  | | | | | | | | | | |            e0 & e1 = e0)
% 172.64/26.95  | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | BETA: splitting (149) gives:
% 172.64/26.95  | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | Case 1:
% 172.64/26.95  | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | |   (150)  all_58_16 = e3
% 172.64/26.95  | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | COMBINE_EQS: (59), (150) imply:
% 172.64/26.95  | | | | | | | | | | | |   (151)  all_6_2 = e3
% 172.64/26.95  | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | REDUCE: (11), (151) imply:
% 172.64/26.95  | | | | | | | | | | | |   (152)   ~ (all_52_12 = e3)
% 172.64/26.95  | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | BETA: splitting (109) gives:
% 172.64/26.95  | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | Case 1:
% 172.64/26.95  | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | |   (153)  all_58_30 = e1
% 172.64/26.95  | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | REF_CLOSE: (28), (97), (153) are inconsistent by sub-proof
% 172.64/26.95  | | | | | | | | | | | | |            #838.
% 172.64/26.95  | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | Case 2:
% 172.64/26.95  | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | |   (154)  all_58_28 = e3 | all_58_29 = e2
% 172.64/26.95  | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | REF_CLOSE: (30), (34), (61), (63), (82), (86), (95), (119),
% 172.64/26.95  | | | | | | | | | | | | |            (129), (152), (154) are inconsistent by sub-proof
% 172.64/26.95  | | | | | | | | | | | | |            #624.
% 172.64/26.95  | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | End of split
% 172.64/26.95  | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | Case 2:
% 172.64/26.95  | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | |   (155)   ~ (all_58_16 = e3)
% 172.64/26.95  | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | REDUCE: (59), (155) imply:
% 172.64/26.95  | | | | | | | | | | | |   (156)   ~ (all_6_2 = e3)
% 172.64/26.95  | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | BETA: splitting (24) gives:
% 172.64/26.95  | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | Case 1:
% 172.64/26.95  | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | |   (157)  all_56_0 = e3
% 172.64/26.95  | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | COMBINE_EQS: (37), (157) imply:
% 172.64/26.95  | | | | | | | | | | | | |   (158)  all_6_2 = e3
% 172.64/26.95  | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | REDUCE: (156), (158) imply:
% 172.64/26.95  | | | | | | | | | | | | |   (159)  $false
% 172.64/26.95  | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | CLOSE: (159) is inconsistent.
% 172.64/26.95  | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | Case 2:
% 172.64/26.95  | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | |   (160)   ~ (all_56_0 = e3)
% 172.64/26.95  | | | | | | | | | | | | |   (161)  all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.64/26.95  | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | BETA: splitting (161) gives:
% 172.64/26.95  | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | Case 1:
% 172.64/26.95  | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | |   (162)  all_56_2 = e3
% 172.64/26.95  | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | REF_CLOSE: (46), (61), (162) are inconsistent by sub-proof
% 172.64/26.95  | | | | | | | | | | | | | |            #699.
% 172.64/26.95  | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | Case 2:
% 172.64/26.95  | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | |   (163)   ~ (all_56_2 = e3)
% 172.64/26.95  | | | | | | | | | | | | | |   (164)  all_56_6 = e3 | all_56_12 = e3
% 172.64/26.95  | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | REDUCE: (46), (163) imply:
% 172.64/26.95  | | | | | | | | | | | | | |   (165)   ~ (e3 = e0)
% 172.64/26.95  | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 172.64/26.95  | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | Case 1:
% 172.64/26.95  | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | |   (166)  all_56_6 = e3
% 172.64/26.95  | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | COMBINE_EQS: (124), (166) imply:
% 172.64/26.95  | | | | | | | | | | | | | | |   (167)  e3 = e1
% 172.64/26.95  | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | REDUCE: (5), (167) imply:
% 172.64/26.95  | | | | | | | | | | | | | | |   (168)  $false
% 172.64/26.95  | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | CLOSE: (168) is inconsistent.
% 172.64/26.95  | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | Case 2:
% 172.64/26.95  | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | |   (169)  all_56_12 = e3
% 172.64/26.95  | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | COMBINE_EQS: (3), (169) imply:
% 172.64/26.95  | | | | | | | | | | | | | | |   (170)  all_52_3 = e3
% 172.64/26.95  | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | SIMP: (170) implies:
% 172.64/26.95  | | | | | | | | | | | | | | |   (171)  all_52_3 = e3
% 172.64/26.95  | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | COMBINE_EQS: (43), (171) imply:
% 172.64/26.95  | | | | | | | | | | | | | | |   (172)  all_58_19 = e3
% 172.64/26.95  | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | REF_CLOSE: (10), (17), (19), (22), (25), (28), (29), (30),
% 172.64/26.95  | | | | | | | | | | | | | | |            (32), (33), (37), (40), (47), (48), (49), (52),
% 172.64/26.95  | | | | | | | | | | | | | | |            (58), (59), (61), (63), (64), (69), (73), (77),
% 172.64/26.95  | | | | | | | | | | | | | | |            (80), (82), (83), (86), (90), (97), (100), (101),
% 172.64/26.95  | | | | | | | | | | | | | | |            (114), (119), (127), (129), (131), (156), (172)
% 172.64/26.95  | | | | | | | | | | | | | | |            are inconsistent by sub-proof #815.
% 172.64/26.95  | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | End of split
% 172.64/26.95  | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | End of split
% 172.64/26.95  | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | End of split
% 172.64/26.95  | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | End of split
% 172.64/26.95  | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | End of split
% 172.64/26.95  | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | End of split
% 172.64/26.95  | | | | | | | | | 
% 172.64/26.95  | | | | | | | | End of split
% 172.64/26.95  | | | | | | | | 
% 172.64/26.95  | | | | | | | Case 2:
% 172.64/26.95  | | | | | | | | 
% 172.64/26.95  | | | | | | | |   (173)  all_58_24 = e3
% 172.64/26.95  | | | | | | | | 
% 172.64/26.95  | | | | | | | | REF_CLOSE: (61), (82), (173) are inconsistent by sub-proof #926.
% 172.64/26.95  | | | | | | | | 
% 172.64/26.95  | | | | | | | End of split
% 172.64/26.95  | | | | | | | 
% 172.64/26.95  | | | | | | End of split
% 172.64/26.95  | | | | | | 
% 172.64/26.95  | | | | | Case 2:
% 172.64/26.95  | | | | | | 
% 172.64/26.95  | | | | | |   (174)   ~ (all_56_6 = e1)
% 172.64/26.95  | | | | | | 
% 172.64/26.95  | | | | | | REDUCE: (76), (174) imply:
% 172.64/26.95  | | | | | |   (175)   ~ (all_52_2 = e1)
% 172.64/26.95  | | | | | | 
% 172.64/26.95  | | | | | | BETA: splitting (114) gives:
% 172.64/26.95  | | | | | | 
% 172.64/26.95  | | | | | | Case 1:
% 172.64/26.95  | | | | | | | 
% 172.64/26.95  | | | | | | |   (176)  all_58_18 = e1
% 172.64/26.95  | | | | | | | 
% 172.64/26.95  | | | | | | | REF_CLOSE: (57), (175), (176) are inconsistent by sub-proof #924.
% 172.64/26.95  | | | | | | | 
% 172.64/26.95  | | | | | | Case 2:
% 172.64/26.95  | | | | | | | 
% 172.64/26.95  | | | | | | |   (177)   ~ (all_58_18 = e1)
% 172.64/26.95  | | | | | | |   (178)  all_58_16 = e3 | all_58_17 = e2
% 172.64/26.95  | | | | | | | 
% 172.64/26.95  | | | | | | | BETA: splitting (178) gives:
% 172.64/26.95  | | | | | | | 
% 172.64/26.95  | | | | | | | Case 1:
% 172.64/26.95  | | | | | | | | 
% 172.64/26.95  | | | | | | | |   (179)  all_58_17 = e2
% 172.64/26.95  | | | | | | | | 
% 172.64/26.95  | | | | | | | | REF_CLOSE: (73), (94), (179) are inconsistent by sub-proof #981.
% 172.64/26.95  | | | | | | | | 
% 172.64/26.95  | | | | | | | Case 2:
% 172.64/26.95  | | | | | | | | 
% 172.64/26.95  | | | | | | | |   (180)  all_58_16 = e3
% 172.64/26.95  | | | | | | | | 
% 172.64/26.95  | | | | | | | | COMBINE_EQS: (59), (180) imply:
% 172.64/26.95  | | | | | | | |   (181)  all_6_2 = e3
% 172.64/26.95  | | | | | | | | 
% 172.64/26.95  | | | | | | | | COMBINE_EQS: (37), (181) imply:
% 172.64/26.95  | | | | | | | |   (182)  all_56_0 = e3
% 172.64/26.95  | | | | | | | | 
% 172.64/26.95  | | | | | | | | REDUCE: (6), (181) imply:
% 172.64/26.95  | | | | | | | |   (183)   ~ (all_52_2 = e3)
% 172.64/26.95  | | | | | | | | 
% 172.64/26.95  | | | | | | | | REDUCE: (60), (181) imply:
% 172.64/26.95  | | | | | | | |   (184)   ~ (all_52_4 = e3)
% 172.64/26.95  | | | | | | | | 
% 172.64/26.95  | | | | | | | | REDUCE: (11), (181) imply:
% 172.64/26.95  | | | | | | | |   (185)   ~ (all_52_12 = e3)
% 172.64/26.95  | | | | | | | | 
% 172.64/26.95  | | | | | | | | BETA: splitting (27) gives:
% 172.64/26.95  | | | | | | | | 
% 172.64/26.95  | | | | | | | | Case 1:
% 172.64/26.95  | | | | | | | | | 
% 172.64/26.95  | | | | | | | | |   (186)  all_54_8 = e1
% 172.64/26.95  | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | REF_CLOSE: (2), (175), (186) are inconsistent by sub-proof
% 172.64/26.95  | | | | | | | | |            #671.
% 172.64/26.95  | | | | | | | | | 
% 172.64/26.95  | | | | | | | | Case 2:
% 172.64/26.95  | | | | | | | | | 
% 172.64/26.95  | | | | | | | | |   (187)  all_54_8 = e3 | all_54_8 = e2
% 172.64/26.95  | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | BETA: splitting (109) gives:
% 172.64/26.95  | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | Case 1:
% 172.64/26.95  | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | |   (188)  all_58_30 = e1
% 172.64/26.95  | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | REF_CLOSE: (28), (97), (188) are inconsistent by sub-proof
% 172.64/26.95  | | | | | | | | | |            #838.
% 172.64/26.95  | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | Case 2:
% 172.64/26.95  | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | |   (189)  all_58_28 = e3 | all_58_29 = e2
% 172.64/26.95  | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | BETA: splitting (189) gives:
% 172.64/26.95  | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | Case 1:
% 172.64/26.95  | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | |   (190)  all_58_29 = e2
% 172.64/26.95  | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | COMBINE_EQS: (63), (190) imply:
% 172.64/26.95  | | | | | | | | | | |   (191)  all_52_13 = e2
% 172.64/26.95  | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | COMBINE_EQS: (91), (191) imply:
% 172.64/26.95  | | | | | | | | | | |   (192)  all_56_10 = e2
% 172.64/26.95  | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | REDUCE: (34), (191) imply:
% 172.64/26.95  | | | | | | | | | | |   (193)   ~ (all_52_9 = e2)
% 172.64/26.95  | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | REDUCE: (53), (191) imply:
% 172.64/26.95  | | | | | | | | | | |   (194)   ~ (all_14_2 = e2)
% 172.64/26.95  | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | SIMP: (194) implies:
% 172.64/26.95  | | | | | | | | | | |   (195)   ~ (all_14_2 = e2)
% 172.64/26.95  | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | REDUCE: (23), (191) imply:
% 172.64/26.95  | | | | | | | | | | |   (196)   ~ (all_4_2 = e2)
% 172.64/26.95  | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | SIMP: (196) implies:
% 172.64/26.95  | | | | | | | | | | |   (197)   ~ (all_4_2 = e2)
% 172.64/26.95  | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | BETA: splitting (54) gives:
% 172.64/26.95  | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | Case 1:
% 172.64/26.95  | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | |   (198)  all_56_0 = e1
% 172.64/26.95  | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | COMBINE_EQS: (182), (198) imply:
% 172.64/26.95  | | | | | | | | | | | |   (199)  e3 = e1
% 172.64/26.95  | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | COMBINE_EQS: (180), (199) imply:
% 172.64/26.95  | | | | | | | | | | | |   (200)  all_58_16 = e1
% 172.64/26.95  | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | REF_CLOSE: (5), (73), (94), (178), (200) are inconsistent by
% 172.64/26.95  | | | | | | | | | | | |            sub-proof #980.
% 172.64/26.95  | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | Case 2:
% 172.64/26.95  | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | |   (201)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.64/26.95  | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | BETA: splitting (119) gives:
% 172.64/26.95  | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | Case 1:
% 172.64/26.95  | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | |   (202)  all_58_26 = e1
% 172.64/26.95  | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | COMBINE_EQS: (30), (202) imply:
% 172.64/26.95  | | | | | | | | | | | | |   (203)  all_10_2 = e1
% 172.64/26.95  | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | SIMP: (203) implies:
% 172.64/26.95  | | | | | | | | | | | | |   (204)  all_10_2 = e1
% 172.64/26.95  | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | REDUCE: (38), (204) imply:
% 172.64/26.95  | | | | | | | | | | | | |   (205)   ~ (all_52_9 = e1)
% 172.64/26.95  | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | REDUCE: (16), (204) imply:
% 172.64/26.95  | | | | | | | | | | | | |   (206)  op(e1, e1) = all_10_1
% 172.64/26.95  | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | REDUCE: (18), (204) imply:
% 172.64/26.95  | | | | | | | | | | | | |   (207)  op(e1, e1) = all_58_10
% 172.64/26.95  | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | REDUCE: (20), (204) imply:
% 172.64/26.95  | | | | | | | | | | | | |   (208)  op(e1, e1) = e1
% 172.64/26.95  | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | BETA: splitting (122) gives:
% 172.64/26.95  | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | Case 1:
% 172.64/26.95  | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | |   (209)  all_56_3 = e1
% 172.64/26.95  | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | COMBINE_EQS: (79), (209) imply:
% 172.64/26.95  | | | | | | | | | | | | | |   (210)  all_4_2 = e1
% 172.64/26.95  | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | REDUCE: (8), (210) imply:
% 172.64/26.95  | | | | | | | | | | | | | |   (211)   ~ (all_52_4 = e1)
% 172.64/26.95  | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | REDUCE: (12), (210) imply:
% 172.64/26.95  | | | | | | | | | | | | | |   (212)   ~ (all_52_6 = e1)
% 172.64/26.95  | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | BETA: splitting (36) gives:
% 172.64/26.95  | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | Case 1:
% 172.64/26.95  | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | |   (213)  all_56_6 = e3
% 172.64/26.95  | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | REF_CLOSE: (76), (183), (213) are inconsistent by sub-proof
% 172.64/26.95  | | | | | | | | | | | | | | |            #766.
% 172.64/26.95  | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | Case 2:
% 172.64/26.95  | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | |   (214)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.64/26.95  | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 172.64/26.95  | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | Case 1:
% 172.64/26.95  | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | |   (215)  all_56_7 = e3
% 172.64/26.95  | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | COMBINE_EQS: (98), (215) imply:
% 172.64/26.95  | | | | | | | | | | | | | | | |   (216)  all_52_6 = e3
% 172.64/26.95  | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | SIMP: (216) implies:
% 172.64/26.95  | | | | | | | | | | | | | | | |   (217)  all_52_6 = e3
% 172.64/26.95  | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | REDUCE: (96), (217) imply:
% 172.64/26.95  | | | | | | | | | | | | | | | |   (218)  op(e1, e3) = all_58_9
% 172.64/26.95  | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | BETA: splitting (66) gives:
% 172.64/26.95  | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | Case 1:
% 172.64/26.95  | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | |   (219)  all_56_6 = e2
% 172.64/26.95  | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | COMBINE_EQS: (76), (219) imply:
% 172.64/26.95  | | | | | | | | | | | | | | | | |   (220)  all_52_2 = e2
% 172.64/26.95  | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | REDUCE: (183), (220) imply:
% 172.64/26.95  | | | | | | | | | | | | | | | | |   (221)   ~ (e3 = e2)
% 172.64/26.95  | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | REDUCE: (4), (220) imply:
% 172.64/26.95  | | | | | | | | | | | | | | | | |   (222)  op(e1, e3) = e2
% 172.64/26.95  | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | BETA: splitting (56) gives:
% 172.64/26.95  | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | Case 1:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | |   (223)  all_56_9 = e1
% 172.64/26.95  | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (44), (223) imply:
% 172.64/26.95  | | | | | | | | | | | | | | | | | |   (224)  all_52_12 = e1
% 172.64/26.95  | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | SIMP: (224) implies:
% 172.64/26.95  | | | | | | | | | | | | | | | | | |   (225)  all_52_12 = e1
% 172.64/26.95  | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | REDUCE: (1), (225) imply:
% 172.64/26.95  | | | | | | | | | | | | | | | | | |   (226)   ~ (all_14_2 = e1)
% 172.64/26.95  | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | SIMP: (226) implies:
% 172.64/26.95  | | | | | | | | | | | | | | | | | |   (227)   ~ (all_14_2 = e1)
% 172.64/26.95  | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | REDUCE: (62), (225) imply:
% 172.64/26.95  | | | | | | | | | | | | | | | | | |   (228)  op(e3, e0) = e1
% 172.64/26.95  | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | BETA: splitting (81) gives:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | |   (229)  all_54_15 = e1
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (71), (227), (229) are inconsistent by sub-proof
% 172.64/26.95  | | | | | | | | | | | | | | | | | | |            #752.
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | |   (230)  all_54_15 = e3 | all_54_15 = e2
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | |   (231)  all_54_15 = e2
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (71), (195), (231) are inconsistent by sub-proof
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | |            #615.
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | |   (232)  all_54_15 = e3
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (71), (232) imply:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | |   (233)  all_14_2 = e3
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | SIMP: (233) implies:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | |   (234)  all_14_2 = e3
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | REDUCE: (104), (234) imply:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | |   (235)  op(all_14_1, e3) = e1
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (234) imply:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | |   (236)  op(e3, e0) = all_14_1
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | BETA: splitting (50) gives:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | |   (237)   ~ (all_14_1 = e2)
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (87) with all_10_1, all_58_10, e1,
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | |              e1, simplifying with (206), (207) gives:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | |   (238)  all_58_10 = all_10_1
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (87) with e1, all_58_10, e1, e1,
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | |              simplifying with (207), (208) gives:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | |   (239)  all_58_10 = e1
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (87) with e2, all_58_9, e3, e1,
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | |              simplifying with (218), (222) gives:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | |   (240)  all_58_9 = e2
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (87) with e1, all_14_1, e0, e3,
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | |              simplifying with (228), (236) gives:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | |   (241)  all_14_1 = e1
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (238), (239) imply:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | |   (242)  all_10_1 = e1
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | SIMP: (242) implies:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | |   (243)  all_10_1 = e1
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | REDUCE: (237), (241) imply:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | |   (244)   ~ (e2 = e1)
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | REDUCE: (235), (241) imply:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | |   (245)  op(e1, e3) = e1
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (87) with e2, e1, e3, e1,
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | |              simplifying with (222), (245) gives:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | |   (246)  e2 = e1
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (192), (246) imply:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | |   (247)  all_56_10 = e1
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (190), (246) imply:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | |   (248)  all_58_29 = e1
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (6), (7), (9), (10), (11), (13), (14), (17),
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | |            (19), (22), (25), (28), (29), (30), (32), (33),
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | |            (35), (37), (39), (40), (42), (43), (44), (47),
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | |            (48), (49), (51), (52), (57), (58), (59), (63),
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | |            (64), (68), (69), (70), (73), (75), (77), (80),
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | |            (82), (83), (84), (86), (88), (90), (92), (94),
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | |            (95), (97), (100), (101), (102), (109), (205),
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | |            (247), (248) are inconsistent by sub-proof #805.
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | |   (249)   ~ (all_14_2 = e3)
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (71), (195), (230), (249) are inconsistent by
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | |            sub-proof #613.
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | End of split
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | End of split
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | End of split
% 172.64/26.95  | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | Case 2:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | |   (250)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.64/26.95  | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | |   (251)  all_56_2 = e1
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (97), (251) are inconsistent by sub-proof
% 172.64/26.95  | | | | | | | | | | | | | | | | | | |            #935.
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | |   (252)  all_56_6 = e1 | all_56_12 = e1
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | |   (253)  all_56_6 = e1
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (76), (175), (253) are inconsistent by sub-proof
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | |            #583.
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | |   (254)  all_56_12 = e1
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3), (254) imply:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | |   (255)  all_52_3 = e1
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | SIMP: (255) implies:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | |   (256)  all_52_3 = e1
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (256) imply:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | |   (257)   ~ (all_14_2 = e1)
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | SIMP: (257) implies:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | |   (258)   ~ (all_14_2 = e1)
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (6), (7), (9), (10), (11), (13), (14), (17),
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | |            (19), (22), (25), (26), (28), (29), (30), (32),
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | |            (33), (34), (35), (37), (39), (40), (42), (43),
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | |            (44), (47), (48), (49), (51), (52), (57), (58),
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | |            (59), (63), (64), (68), (69), (70), (73), (75),
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | |            (77), (80), (82), (83), (84), (86), (88), (90),
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | |            (91), (92), (94), (95), (97), (100), (101), (102),
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | |            (250), (258) are inconsistent by sub-proof #803.
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | End of split
% 172.64/26.95  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | End of split
% 172.64/26.95  | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | End of split
% 172.64/26.95  | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | Case 2:
% 172.64/26.95  | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | |   (259)   ~ (all_56_6 = e2)
% 172.64/26.95  | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | REDUCE: (76), (259) imply:
% 172.64/26.95  | | | | | | | | | | | | | | | | |   (260)   ~ (all_52_2 = e2)
% 172.64/26.95  | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | BETA: splitting (187) gives:
% 172.64/26.95  | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | Case 1:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | |   (261)  all_54_8 = e2
% 172.64/26.95  | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (260), (261) are inconsistent by sub-proof
% 172.64/26.95  | | | | | | | | | | | | | | | | | |            #787.
% 172.64/26.95  | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | Case 2:
% 172.64/26.95  | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | |   (262)  all_54_8 = e3
% 172.64/26.95  | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (183), (262) are inconsistent by sub-proof
% 172.64/26.95  | | | | | | | | | | | | | | | | | |            #786.
% 172.64/26.95  | | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | | End of split
% 172.64/26.95  | | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | End of split
% 172.64/26.95  | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | Case 2:
% 172.64/26.95  | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | |   (263)   ~ (all_56_7 = e3)
% 172.64/26.95  | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | REDUCE: (98), (263) imply:
% 172.64/26.95  | | | | | | | | | | | | | | | |   (264)   ~ (all_52_6 = e3)
% 172.64/26.95  | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | REF_CLOSE: (15), (31), (55), (72), (74), (184), (211), (212),
% 172.64/26.95  | | | | | | | | | | | | | | | |            (264) are inconsistent by sub-proof #424.
% 172.64/26.95  | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | End of split
% 172.64/26.95  | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | End of split
% 172.64/26.95  | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | Case 2:
% 172.64/26.95  | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | |   (265)   ~ (all_56_3 = e1)
% 172.64/26.95  | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | REDUCE: (79), (265) imply:
% 172.64/26.95  | | | | | | | | | | | | | |   (266)   ~ (all_4_2 = e1)
% 172.64/26.95  | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | BETA: splitting (89) gives:
% 172.64/26.95  | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | Case 1:
% 172.64/26.95  | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | |   (267)  all_54_5 = e1
% 172.64/26.95  | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | REF_CLOSE: (99), (266), (267) are inconsistent by sub-proof
% 172.64/26.95  | | | | | | | | | | | | | | |            #977.
% 172.64/26.95  | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | Case 2:
% 172.64/26.95  | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | |   (268)  all_54_5 = e3 | all_54_5 = e2
% 172.64/26.95  | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 172.64/26.95  | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | Case 1:
% 172.64/26.95  | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | |   (269)  all_54_5 = e2
% 172.64/26.95  | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | REF_CLOSE: (99), (197), (269) are inconsistent by sub-proof
% 172.64/26.95  | | | | | | | | | | | | | | | |            #976.
% 172.64/26.95  | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | Case 2:
% 172.64/26.95  | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | |   (270)  all_54_5 = e3
% 172.64/26.95  | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | COMBINE_EQS: (99), (270) imply:
% 172.64/26.95  | | | | | | | | | | | | | | | |   (271)  all_4_2 = e3
% 172.64/26.95  | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | SIMP: (271) implies:
% 172.64/26.95  | | | | | | | | | | | | | | | |   (272)  all_4_2 = e3
% 172.64/26.95  | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | REDUCE: (19), (272) imply:
% 172.64/26.95  | | | | | | | | | | | | | | | |   (273)   ~ (all_52_9 = e3)
% 172.64/26.95  | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | | REF_CLOSE: (21), (85), (193), (205), (273) are inconsistent
% 172.64/26.95  | | | | | | | | | | | | | | | |            by sub-proof #883.
% 172.64/26.95  | | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | | End of split
% 172.64/26.95  | | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | | End of split
% 172.64/26.95  | | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | End of split
% 172.64/26.95  | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | Case 2:
% 172.64/26.95  | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | |   (274)  all_58_24 = e3 | all_58_25 = e2
% 172.64/26.95  | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | | REF_CLOSE: (61), (82), (86), (193), (274) are inconsistent by
% 172.64/26.95  | | | | | | | | | | | | |            sub-proof #921.
% 172.64/26.95  | | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | | End of split
% 172.64/26.95  | | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | End of split
% 172.64/26.95  | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | Case 2:
% 172.64/26.95  | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | |   (275)  all_58_28 = e3
% 172.64/26.95  | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | COMBINE_EQS: (95), (275) imply:
% 172.64/26.95  | | | | | | | | | | |   (276)  all_52_12 = e3
% 172.64/26.95  | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | REDUCE: (185), (276) imply:
% 172.64/26.95  | | | | | | | | | | |   (277)  $false
% 172.64/26.95  | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | | CLOSE: (277) is inconsistent.
% 172.64/26.95  | | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | | End of split
% 172.64/26.95  | | | | | | | | | | 
% 172.64/26.95  | | | | | | | | | End of split
% 172.64/26.95  | | | | | | | | | 
% 172.64/26.95  | | | | | | | | End of split
% 172.64/26.95  | | | | | | | | 
% 172.64/26.95  | | | | | | | End of split
% 172.64/26.95  | | | | | | | 
% 172.64/26.95  | | | | | | End of split
% 172.64/26.95  | | | | | | 
% 172.64/26.95  | | | | | End of split
% 172.64/26.95  | | | | | 
% 172.64/26.95  | | | | End of split
% 172.64/26.95  | | | | 
% 172.64/26.95  | | | End of split
% 172.64/26.95  | | | 
% 172.64/26.95  | | End of split
% 172.64/26.95  | | 
% 172.64/26.95  | End of split
% 172.64/26.95  | 
% 172.64/26.95  End of proof
% 172.64/26.95  
% 172.64/26.95  Sub-proof #395 shows that the following formulas are inconsistent:
% 172.64/26.95  ----------------------------------------------------------------
% 172.64/26.95    (1)   ~ (all_52_12 = all_14_2)
% 172.64/26.95    (2)  all_56_1 = all_52_4
% 172.64/26.95    (3)   ~ (all_10_2 = e0)
% 172.64/26.95    (4)   ~ (all_52_8 = all_52_12)
% 172.64/26.96    (5)  all_58_23 = all_52_7
% 172.64/26.96    (6)   ~ (all_52_4 = all_4_2)
% 172.64/26.96    (7)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.64/26.96    (8)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 172.64/26.96    (9)  all_56_5 = all_52_9
% 172.64/26.96    (10)  op(all_6_2, e3) = all_6_1
% 172.64/26.96    (11)   ~ (all_52_12 = all_6_2)
% 172.64/26.96    (12)   ~ (all_52_6 = all_4_2)
% 172.64/26.96    (13)  op(e3, all_6_2) = all_58_0
% 172.64/26.96    (14)  op(e1, e0) = all_52_14
% 172.64/26.96    (15)  all_56_15 = all_14_2
% 172.64/26.96    (16)  op(e3, all_52_4) = all_58_1
% 172.64/26.96    (17)  all_54_1 = all_52_4
% 172.64/26.96    (18)  op(all_10_2, e1) = all_10_1
% 172.64/26.96    (19)   ~ (all_52_9 = all_4_2)
% 172.64/26.96    (20)   ~ (all_52_3 = all_52_7)
% 172.64/26.96    (21)  all_56_14 = all_52_11
% 172.64/26.96    (22)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 172.64/26.96    (23)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.64/26.96    (24)  all_56_8 = all_10_2
% 172.64/26.96    (25)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.64/26.96    (26)  all_58_26 = all_10_2
% 172.64/26.96    (27)   ~ (all_52_4 = all_52_6)
% 172.64/26.96    (28)  all_58_31 = all_14_2
% 172.64/26.96    (29)   ~ (all_52_9 = all_52_13)
% 172.64/26.96    (30)   ~ (all_52_3 = all_6_2)
% 172.64/26.96    (31)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.64/26.96    (32)  all_58_18 = e0
% 172.64/26.96    (33)   ~ (all_52_1 = all_6_2)
% 172.64/26.96    (34)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 172.64/26.96    (35)  all_54_2 = all_52_8
% 172.64/26.96    (36)  all_56_11 = all_52_14
% 172.64/26.96    (37)   ~ (all_52_6 = all_52_7)
% 172.64/26.96    (38)  all_56_0 = all_6_2
% 172.64/26.96    (39)   ~ (all_52_9 = all_10_2)
% 172.64/26.96    (40)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.64/26.96    (41)  all_58_30 = all_52_14
% 172.64/26.96    (42)  all_58_27 = all_52_11
% 172.64/26.96    (43)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.64/26.96    (44)  all_58_17 = all_52_1
% 172.64/26.96    (45)  op(e3, e1) = all_52_8
% 172.64/26.96    (46)  all_58_19 = all_52_3
% 172.64/26.96    (47)  all_56_9 = all_52_12
% 172.64/26.96    (48)   ~ (all_52_6 = all_10_2)
% 172.64/26.96    (49)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.64/26.96    (50)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.64/26.96    (51)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.64/26.96    (52)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 172.64/26.96    (53)   ~ (all_52_13 = all_14_2)
% 172.64/26.96    (54)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.64/26.96    (55)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.64/26.96    (56)  all_54_9 = all_52_6
% 172.64/26.96    (57)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.64/26.96    (58)   ~ (all_52_13 = all_52_14)
% 172.64/26.96    (59)  all_58_16 = all_6_2
% 172.64/26.96    (60)  all_56_13 = all_52_7
% 172.64/26.96    (61)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 172.64/26.96    (62)   ~ (all_52_4 = all_6_2)
% 172.64/26.96    (63)   ~ (e3 = e0)
% 172.64/26.96    (64)  all_58_29 = all_52_13
% 172.64/26.96    (65)   ~ (all_4_2 = e0)
% 172.64/26.96    (66)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.64/26.96    (67)   ~ (all_52_6 = all_52_14)
% 172.64/26.96    (68)   ~ (all_52_8 = all_10_2)
% 172.64/26.96    (69)  all_56_4 = all_52_8
% 172.64/26.96    (70)   ~ (all_52_1 = all_52_13)
% 172.64/26.96    (71)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 172.64/26.96    (72)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 172.64/26.96    (73)  all_54_10 = all_10_2
% 172.64/26.96    (74)   ~ (all_52_7 = all_52_11)
% 172.64/26.96    (75)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 172.64/26.96    (76)   ~ (all_52_8 = all_52_11)
% 172.64/26.96    (77)   ~ (all_52_8 = all_6_2)
% 172.64/26.96    (78)   ~ (all_52_1 = all_52_9)
% 172.64/26.96    (79)  op(e3, e3) = all_6_2
% 172.64/26.96    (80)  all_56_6 = e0
% 172.64/26.96    (81)  all_58_24 = all_52_8
% 172.64/26.96    (82)   ~ (all_52_12 = all_52_14)
% 172.64/26.96    (83)   ~ (all_52_9 = all_52_11)
% 172.64/26.96    (84)  all_58_22 = all_52_6
% 172.64/26.96    (85)  op(all_14_2, e0) = all_14_1
% 172.64/26.96    (86)   ~ (all_52_4 = all_52_12)
% 172.64/26.96    (87)  all_56_3 = all_4_2
% 172.64/26.96    (88)  all_54_0 = all_6_2
% 172.64/26.96    (89)   ~ (all_52_14 = all_10_2)
% 172.64/26.96    (90)   ~ (all_52_4 = all_52_8)
% 172.64/26.96    (91)   ~ (all_52_14 = all_14_2)
% 172.64/26.96    (92)  all_58_25 = all_52_9
% 172.64/26.96    (93)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 172.64/26.96    (94)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/26.96            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/26.96    (95)   ~ (all_6_1 = e0)
% 172.64/26.96    (96)   ~ (all_52_6 = e0)
% 172.64/26.96    (97)  all_54_12 = all_52_3
% 172.64/26.96    (98)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 172.64/26.96    (99)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 172.64/26.96    (100)  all_58_21 = all_4_2
% 172.64/26.96    (101)  all_56_10 = all_52_13
% 172.64/26.96    (102)   ~ (e2 = e0)
% 172.64/26.96    (103)   ~ (all_52_1 = all_52_3)
% 172.64/26.96    (104)   ~ (all_52_14 = e0)
% 172.64/26.96    (105)  all_58_28 = all_52_12
% 172.64/26.96    (106)  op(e1, all_52_6) = all_58_9
% 172.64/26.96    (107)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.64/26.96    (108)   ~ (e1 = e0)
% 172.64/26.96    (109)  all_56_7 = all_52_6
% 172.64/26.96    (110)  op(e1, e3) = e0
% 172.64/26.96    (111)  all_54_5 = all_4_2
% 172.64/26.96    (112)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.64/26.96           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.64/26.96           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/26.96           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/26.96           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/26.96           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/26.96           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/26.96           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.64/26.96           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.64/26.96           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.64/26.96             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.64/26.96             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.64/26.96             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.64/26.96             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.64/26.96             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.64/26.96             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.64/26.96             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.64/26.96             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.64/26.96             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/26.96             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.64/26.96             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.64/26.96             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/26.96             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.64/26.96             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.64/26.96             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.64/26.96             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.64/26.96           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.64/26.96           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/26.96           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.64/26.96             all_58_30 = e0 & e1 = e0)
% 172.64/26.96    (113)  all_54_7 = all_52_13
% 172.64/26.96    (114)   ~ (all_10_1 = e0)
% 172.64/26.96    (115)  all_54_11 = all_52_14
% 172.64/26.96    (116)  op(all_14_1, all_14_2) = e1
% 172.64/26.96    (117)   ~ (all_52_12 = all_52_13)
% 172.64/26.96  
% 172.64/26.96  Begin of proof
% 172.64/26.96  | 
% 172.64/26.96  | BETA: splitting (8) gives:
% 172.64/26.96  | 
% 172.64/26.96  | Case 1:
% 172.64/26.96  | | 
% 172.64/26.96  | |   (118)  all_56_3 = e0
% 172.64/26.96  | | 
% 172.64/26.96  | | COMBINE_EQS: (87), (118) imply:
% 172.64/26.96  | |   (119)  all_4_2 = e0
% 172.64/26.96  | | 
% 172.64/26.96  | | REDUCE: (65), (119) imply:
% 172.64/26.96  | |   (120)  $false
% 172.64/26.96  | | 
% 172.64/26.96  | | CLOSE: (120) is inconsistent.
% 172.64/26.96  | | 
% 172.64/26.96  | Case 2:
% 172.64/26.96  | | 
% 172.64/26.96  | |   (121)  all_56_7 = e0 | all_56_13 = e0
% 172.64/26.96  | | 
% 172.64/26.96  | | BETA: splitting (121) gives:
% 172.64/26.96  | | 
% 172.64/26.96  | | Case 1:
% 172.64/26.96  | | | 
% 172.64/26.96  | | |   (122)  all_56_7 = e0
% 172.64/26.96  | | | 
% 172.64/26.96  | | | REF_CLOSE: (96), (109), (122) are inconsistent by sub-proof #518.
% 172.64/26.96  | | | 
% 172.64/26.96  | | Case 2:
% 172.64/26.96  | | | 
% 172.64/26.96  | | |   (123)  all_56_13 = e0
% 172.64/26.96  | | | 
% 172.64/26.96  | | | COMBINE_EQS: (60), (123) imply:
% 172.64/26.96  | | |   (124)  all_52_7 = e0
% 172.64/26.96  | | | 
% 172.64/26.96  | | | SIMP: (124) implies:
% 172.64/26.96  | | |   (125)  all_52_7 = e0
% 172.64/26.96  | | | 
% 172.64/26.96  | | | COMBINE_EQS: (5), (125) imply:
% 172.64/26.96  | | |   (126)  all_58_23 = e0
% 172.64/26.96  | | | 
% 172.64/26.96  | | | REDUCE: (20), (125) imply:
% 172.64/26.96  | | |   (127)   ~ (all_52_3 = e0)
% 172.64/26.96  | | | 
% 172.64/26.96  | | | REDUCE: (74), (125) imply:
% 172.64/26.96  | | |   (128)   ~ (all_52_11 = e0)
% 172.64/26.96  | | | 
% 172.64/26.96  | | | SIMP: (128) implies:
% 172.64/26.96  | | |   (129)   ~ (all_52_11 = e0)
% 172.64/26.96  | | | 
% 172.64/26.96  | | | BETA: splitting (61) gives:
% 172.64/26.96  | | | 
% 172.64/26.96  | | | Case 1:
% 172.64/26.96  | | | | 
% 172.64/26.96  | | | |   (130)  all_56_4 = e0
% 172.64/26.96  | | | | 
% 172.64/26.96  | | | | COMBINE_EQS: (69), (130) imply:
% 172.64/26.96  | | | |   (131)  all_52_8 = e0
% 172.64/26.96  | | | | 
% 172.64/26.96  | | | | COMBINE_EQS: (81), (131) imply:
% 172.64/26.96  | | | |   (132)  all_58_24 = e0
% 172.64/26.96  | | | | 
% 172.64/26.96  | | | | REDUCE: (90), (131) imply:
% 172.64/26.96  | | | |   (133)   ~ (all_52_4 = e0)
% 172.64/26.96  | | | | 
% 172.64/26.96  | | | | REDUCE: (4), (131) imply:
% 172.64/26.96  | | | |   (134)   ~ (all_52_12 = e0)
% 172.64/26.96  | | | | 
% 172.64/26.96  | | | | SIMP: (134) implies:
% 172.64/26.96  | | | |   (135)   ~ (all_52_12 = e0)
% 172.64/26.96  | | | | 
% 172.64/26.96  | | | | REDUCE: (77), (131) imply:
% 172.64/26.96  | | | |   (136)   ~ (all_6_2 = e0)
% 172.64/26.96  | | | | 
% 172.64/26.96  | | | | SIMP: (136) implies:
% 172.64/26.96  | | | |   (137)   ~ (all_6_2 = e0)
% 172.64/26.96  | | | | 
% 172.64/26.96  | | | | REDUCE: (45), (131) imply:
% 172.64/26.96  | | | |   (138)  op(e3, e1) = e0
% 172.64/26.96  | | | | 
% 172.64/26.96  | | | | BETA: splitting (98) gives:
% 172.64/26.96  | | | | 
% 172.64/26.96  | | | | Case 1:
% 172.64/26.96  | | | | | 
% 172.64/26.96  | | | | |   (139)  all_56_9 = e0
% 172.64/26.96  | | | | | 
% 172.64/26.96  | | | | | REF_CLOSE: (47), (135), (139) are inconsistent by sub-proof #908.
% 172.64/26.96  | | | | | 
% 172.64/26.96  | | | | Case 2:
% 172.64/26.96  | | | | | 
% 172.64/26.96  | | | | |   (140)  all_56_10 = e0 | all_56_11 = e0
% 172.64/26.96  | | | | | 
% 172.64/26.96  | | | | | BETA: splitting (140) gives:
% 172.64/26.96  | | | | | 
% 172.64/26.96  | | | | | Case 1:
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | |   (141)  all_56_10 = e0
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | | COMBINE_EQS: (101), (141) imply:
% 172.64/26.96  | | | | | |   (142)  all_52_13 = e0
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | | SIMP: (142) implies:
% 172.64/26.96  | | | | | |   (143)  all_52_13 = e0
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | | COMBINE_EQS: (64), (143) imply:
% 172.64/26.96  | | | | | |   (144)  all_58_29 = e0
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | | REDUCE: (70), (143) imply:
% 172.64/26.96  | | | | | |   (145)   ~ (all_52_1 = e0)
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | | REDUCE: (29), (143) imply:
% 172.64/26.96  | | | | | |   (146)   ~ (all_52_9 = e0)
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | | REDUCE: (58), (143) imply:
% 172.64/26.96  | | | | | |   (147)   ~ (all_52_14 = e0)
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | | REDUCE: (53), (143) imply:
% 172.64/26.96  | | | | | |   (148)   ~ (all_14_2 = e0)
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | | SIMP: (148) implies:
% 172.64/26.96  | | | | | |   (149)   ~ (all_14_2 = e0)
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | | BETA: splitting (93) gives:
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | | Case 1:
% 172.64/26.96  | | | | | | | 
% 172.64/26.96  | | | | | | |   (150)  all_54_9 = e0
% 172.64/26.96  | | | | | | | 
% 172.64/26.96  | | | | | | | REF_CLOSE: (56), (96), (150) are inconsistent by sub-proof #903.
% 172.64/26.96  | | | | | | | 
% 172.64/26.96  | | | | | | Case 2:
% 172.64/26.96  | | | | | | | 
% 172.64/26.96  | | | | | | |   (151)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 172.64/26.96  | | | | | | | 
% 172.64/26.96  | | | | | | | BETA: splitting (25) gives:
% 172.64/26.96  | | | | | | | 
% 172.64/26.96  | | | | | | | Case 1:
% 172.64/26.96  | | | | | | | | 
% 172.64/26.96  | | | | | | | |   (152)  all_58_31 = e0
% 172.64/26.96  | | | | | | | | 
% 172.64/26.96  | | | | | | | | COMBINE_EQS: (28), (152) imply:
% 172.64/26.96  | | | | | | | |   (153)  all_14_2 = e0
% 172.64/26.96  | | | | | | | | 
% 172.64/26.96  | | | | | | | | REDUCE: (149), (153) imply:
% 172.64/26.96  | | | | | | | |   (154)  $false
% 172.64/26.96  | | | | | | | | 
% 172.64/26.96  | | | | | | | | CLOSE: (154) is inconsistent.
% 172.64/26.96  | | | | | | | | 
% 172.64/26.96  | | | | | | | Case 2:
% 172.64/26.96  | | | | | | | | 
% 172.64/26.96  | | | | | | | |   (155)   ~ (all_58_31 = e0)
% 172.64/26.96  | | | | | | | |   (156)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.64/26.96  | | | | | | | | 
% 172.64/26.96  | | | | | | | | BETA: splitting (7) gives:
% 172.64/26.96  | | | | | | | | 
% 172.64/26.96  | | | | | | | | Case 1:
% 172.64/26.96  | | | | | | | | | 
% 172.64/26.96  | | | | | | | | |   (157)  all_58_19 = e0
% 172.64/26.96  | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | COMBINE_EQS: (46), (157) imply:
% 172.64/26.96  | | | | | | | | |   (158)  all_52_3 = e0
% 172.64/26.96  | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | REDUCE: (127), (158) imply:
% 172.64/26.96  | | | | | | | | |   (159)  $false
% 172.64/26.96  | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | CLOSE: (159) is inconsistent.
% 172.64/26.96  | | | | | | | | | 
% 172.64/26.96  | | | | | | | | Case 2:
% 172.64/26.96  | | | | | | | | | 
% 172.64/26.96  | | | | | | | | |   (160)   ~ (all_58_19 = e0)
% 172.64/26.96  | | | | | | | | |   (161)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.64/26.96  | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | BETA: splitting (40) gives:
% 172.64/26.96  | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | Case 1:
% 172.64/26.96  | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | |   (162)  all_58_27 = e0
% 172.64/26.96  | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | COMBINE_EQS: (42), (162) imply:
% 172.64/26.96  | | | | | | | | | |   (163)  all_52_11 = e0
% 172.64/26.96  | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | REDUCE: (129), (163) imply:
% 172.64/26.96  | | | | | | | | | |   (164)  $false
% 172.64/26.96  | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | CLOSE: (164) is inconsistent.
% 172.64/26.96  | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | Case 2:
% 172.64/26.96  | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | |   (165)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.64/26.96  | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | BETA: splitting (23) gives:
% 172.64/26.96  | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | Case 1:
% 172.64/26.96  | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | |   (166)  all_56_0 = e3
% 172.64/26.96  | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | COMBINE_EQS: (38), (166) imply:
% 172.64/26.96  | | | | | | | | | | |   (167)  all_6_2 = e3
% 172.64/26.96  | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | REF_CLOSE: (7), (11), (16), (17), (18), (25), (26), (27),
% 172.64/26.96  | | | | | | | | | | |            (28), (32), (39), (41), (44), (46), (48), (55),
% 172.64/26.96  | | | | | | | | | | |            (56), (59), (62), (66), (67), (71), (73), (78),
% 172.64/26.96  | | | | | | | | | | |            (80), (89), (92), (94), (102), (104), (105),
% 172.64/26.96  | | | | | | | | | | |            (109), (114), (127), (132), (133), (137), (138),
% 172.64/26.96  | | | | | | | | | | |            (144), (146), (149), (151), (156), (165), (167)
% 172.64/26.96  | | | | | | | | | | |            are inconsistent by sub-proof #397.
% 172.64/26.96  | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | Case 2:
% 172.64/26.96  | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | |   (168)   ~ (all_56_0 = e3)
% 172.64/26.96  | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | REDUCE: (38), (168) imply:
% 172.64/26.96  | | | | | | | | | | |   (169)   ~ (all_6_2 = e3)
% 172.64/26.96  | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | BETA: splitting (161) gives:
% 172.64/26.96  | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | Case 1:
% 172.64/26.96  | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | |   (170)  all_58_18 = e1
% 172.64/26.96  | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | COMBINE_EQS: (32), (170) imply:
% 172.64/26.96  | | | | | | | | | | | |   (171)  e1 = e0
% 172.64/26.96  | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | REDUCE: (108), (171) imply:
% 172.64/26.96  | | | | | | | | | | | |   (172)  $false
% 172.64/26.96  | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | CLOSE: (172) is inconsistent.
% 172.64/26.96  | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | Case 2:
% 172.64/26.96  | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | |   (173)  all_58_16 = e3 | all_58_17 = e2
% 172.64/26.96  | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | BETA: splitting (173) gives:
% 172.64/26.96  | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | Case 1:
% 172.64/26.96  | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | |   (174)  all_58_17 = e2
% 172.64/26.96  | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | COMBINE_EQS: (44), (174) imply:
% 172.64/26.96  | | | | | | | | | | | | |   (175)  all_52_1 = e2
% 172.64/26.96  | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | REDUCE: (78), (175) imply:
% 172.64/26.96  | | | | | | | | | | | | |   (176)   ~ (all_52_9 = e2)
% 172.64/26.96  | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | SIMP: (176) implies:
% 172.64/26.96  | | | | | | | | | | | | |   (177)   ~ (all_52_9 = e2)
% 172.64/26.96  | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | REDUCE: (33), (175) imply:
% 172.64/26.96  | | | | | | | | | | | | |   (178)   ~ (all_6_2 = e2)
% 172.64/26.96  | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | SIMP: (178) implies:
% 172.64/26.96  | | | | | | | | | | | | |   (179)   ~ (all_6_2 = e2)
% 172.64/26.96  | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | BETA: splitting (165) gives:
% 172.64/26.96  | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | Case 1:
% 172.64/26.96  | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | |   (180)  all_58_26 = e1
% 172.64/26.96  | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | COMBINE_EQS: (26), (180) imply:
% 172.64/26.96  | | | | | | | | | | | | | |   (181)  all_10_2 = e1
% 172.64/26.96  | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | SIMP: (181) implies:
% 172.64/26.96  | | | | | | | | | | | | | |   (182)  all_10_2 = e1
% 172.64/26.96  | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | COMBINE_EQS: (24), (182) imply:
% 172.64/26.96  | | | | | | | | | | | | | |   (183)  all_56_8 = e1
% 172.64/26.96  | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | REDUCE: (89), (182) imply:
% 172.64/26.96  | | | | | | | | | | | | | |   (184)   ~ (all_52_14 = e1)
% 172.64/26.96  | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | BETA: splitting (54) gives:
% 172.64/26.96  | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | Case 1:
% 172.64/26.96  | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | |   (185)  all_56_0 = e1
% 172.64/26.96  | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | COMBINE_EQS: (38), (185) imply:
% 172.64/26.96  | | | | | | | | | | | | | | |   (186)  all_6_2 = e1
% 172.64/26.96  | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | COMBINE_EQS: (59), (186) imply:
% 172.64/26.96  | | | | | | | | | | | | | | |   (187)  all_58_16 = e1
% 172.64/26.96  | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | REDUCE: (11), (186) imply:
% 172.64/26.96  | | | | | | | | | | | | | | |   (188)   ~ (all_52_12 = e1)
% 172.64/26.96  | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | REDUCE: (169), (186) imply:
% 172.64/26.96  | | | | | | | | | | | | | | |   (189)   ~ (e3 = e1)
% 172.64/26.96  | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | SIMP: (189) implies:
% 172.64/26.96  | | | | | | | | | | | | | | |   (190)   ~ (e3 = e1)
% 172.64/26.96  | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | REDUCE: (10), (186) imply:
% 172.64/26.96  | | | | | | | | | | | | | | |   (191)  op(e1, e3) = all_6_1
% 172.64/26.96  | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | BETA: splitting (156) gives:
% 172.64/26.96  | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | Case 1:
% 172.64/26.96  | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | |   (192)  all_58_30 = e1
% 172.64/26.96  | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | COMBINE_EQS: (41), (192) imply:
% 172.64/26.96  | | | | | | | | | | | | | | | |   (193)  all_52_14 = e1
% 172.64/26.96  | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | REDUCE: (184), (193) imply:
% 172.64/26.96  | | | | | | | | | | | | | | | |   (194)  $false
% 172.64/26.96  | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | CLOSE: (194) is inconsistent.
% 172.64/26.96  | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | Case 2:
% 172.64/26.96  | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | |   (195)   ~ (all_58_30 = e1)
% 172.64/26.96  | | | | | | | | | | | | | | | |   (196)  all_58_28 = e3 | all_58_29 = e2
% 172.64/26.96  | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 172.64/26.96  | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | Case 1:
% 172.64/26.96  | | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | |   (197)  all_58_29 = e2
% 172.64/26.96  | | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | | COMBINE_EQS: (144), (197) imply:
% 172.64/26.96  | | | | | | | | | | | | | | | | |   (198)  e2 = e0
% 172.64/26.96  | | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | | REF_CLOSE: (102), (173), (174), (187), (190), (198) are
% 172.64/26.96  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 172.64/26.96  | | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | Case 2:
% 172.64/26.96  | | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | |   (199)  all_58_28 = e3
% 172.64/26.96  | | | | | | | | | | | | | | | | |   (200)   ~ (all_58_29 = e2)
% 172.64/26.96  | | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | | COMBINE_EQS: (105), (199) imply:
% 172.64/26.96  | | | | | | | | | | | | | | | | |   (201)  all_52_12 = e3
% 172.64/26.96  | | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | | REDUCE: (144), (200) imply:
% 172.64/26.96  | | | | | | | | | | | | | | | | |   (202)   ~ (e2 = e0)
% 172.64/26.96  | | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | | REDUCE: (82), (201) imply:
% 172.64/26.96  | | | | | | | | | | | | | | | | |   (203)   ~ (all_52_14 = e3)
% 172.64/26.96  | | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | | SIMP: (203) implies:
% 172.64/26.96  | | | | | | | | | | | | | | | | |   (204)   ~ (all_52_14 = e3)
% 172.64/26.96  | | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | | BETA: splitting (31) gives:
% 172.64/26.96  | | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | | Case 1:
% 172.64/26.96  | | | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | | |   (205)  all_56_6 = e3
% 172.64/26.96  | | | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (80), (205) are inconsistent by sub-proof
% 172.64/26.96  | | | | | | | | | | | | | | | | | |            #574.
% 172.64/26.96  | | | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | | Case 2:
% 172.64/26.96  | | | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | | |   (206)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.64/26.96  | | | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 172.64/26.96  | | | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/26.96  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | | | |   (207)  all_56_7 = e3
% 172.64/26.96  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (109), (207) imply:
% 172.64/26.96  | | | | | | | | | | | | | | | | | | |   (208)  all_52_6 = e3
% 172.64/26.96  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | | | | SIMP: (208) implies:
% 172.64/26.96  | | | | | | | | | | | | | | | | | | |   (209)  all_52_6 = e3
% 172.64/26.96  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | | | | REDUCE: (106), (209) imply:
% 172.64/26.96  | | | | | | | | | | | | | | | | | | |   (210)  op(e1, e3) = all_58_9
% 172.64/26.96  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (95), (110), (191), (210) are inconsistent
% 172.64/26.96  | | | | | | | | | | | | | | | | | | |            by sub-proof #846.
% 172.64/26.96  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/26.96  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | | | |   (211)  all_56_8 = e3 | all_56_11 = e3
% 172.64/26.96  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (28), (36), (41), (102), (144), (149),
% 172.64/26.96  | | | | | | | | | | | | | | | | | | |            (183), (184), (190), (199), (204), (211) are
% 172.64/26.96  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #463.
% 172.64/26.96  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | | | End of split
% 172.64/26.96  | | | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | | End of split
% 172.64/26.96  | | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | | End of split
% 172.64/26.96  | | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | End of split
% 172.64/26.96  | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | Case 2:
% 172.64/26.96  | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | |   (212)   ~ (all_56_0 = e1)
% 172.64/26.96  | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | REDUCE: (38), (212) imply:
% 172.64/26.96  | | | | | | | | | | | | | | |   (213)   ~ (all_6_2 = e1)
% 172.64/26.96  | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | | REF_CLOSE: (50), (88), (169), (179), (213) are inconsistent
% 172.64/26.96  | | | | | | | | | | | | | | |            by sub-proof #848.
% 172.64/26.96  | | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | End of split
% 172.64/26.96  | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | Case 2:
% 172.64/26.96  | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | |   (214)  all_58_24 = e3 | all_58_25 = e2
% 172.64/26.96  | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | | REF_CLOSE: (63), (92), (132), (177), (214) are inconsistent
% 172.64/26.96  | | | | | | | | | | | | | |            by sub-proof #921.
% 172.64/26.96  | | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | End of split
% 172.64/26.96  | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | Case 2:
% 172.64/26.96  | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | |   (215)  all_58_16 = e3
% 172.64/26.96  | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | COMBINE_EQS: (59), (215) imply:
% 172.64/26.96  | | | | | | | | | | | | |   (216)  all_6_2 = e3
% 172.64/26.96  | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | REDUCE: (169), (216) imply:
% 172.64/26.96  | | | | | | | | | | | | |   (217)  $false
% 172.64/26.96  | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | | CLOSE: (217) is inconsistent.
% 172.64/26.96  | | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | | End of split
% 172.64/26.96  | | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | | End of split
% 172.64/26.96  | | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | | End of split
% 172.64/26.96  | | | | | | | | | | 
% 172.64/26.96  | | | | | | | | | End of split
% 172.64/26.96  | | | | | | | | | 
% 172.64/26.96  | | | | | | | | End of split
% 172.64/26.96  | | | | | | | | 
% 172.64/26.96  | | | | | | | End of split
% 172.64/26.96  | | | | | | | 
% 172.64/26.96  | | | | | | End of split
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | Case 2:
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | |   (218)  all_56_11 = e0
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | | REF_CLOSE: (36), (104), (218) are inconsistent by sub-proof #873.
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | End of split
% 172.64/26.96  | | | | | 
% 172.64/26.96  | | | | End of split
% 172.64/26.96  | | | | 
% 172.64/26.96  | | | Case 2:
% 172.64/26.96  | | | | 
% 172.64/26.96  | | | |   (219)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 172.64/26.96  | | | | 
% 172.64/26.96  | | | | BETA: splitting (219) gives:
% 172.64/26.96  | | | | 
% 172.64/26.96  | | | | Case 1:
% 172.64/26.96  | | | | | 
% 172.64/26.96  | | | | |   (220)  all_56_5 = e0
% 172.64/26.96  | | | | | 
% 172.64/26.96  | | | | | COMBINE_EQS: (9), (220) imply:
% 172.64/26.96  | | | | |   (221)  all_52_9 = e0
% 172.64/26.96  | | | | | 
% 172.64/26.96  | | | | | COMBINE_EQS: (92), (221) imply:
% 172.64/26.96  | | | | |   (222)  all_58_25 = e0
% 172.64/26.96  | | | | | 
% 172.64/26.96  | | | | | REDUCE: (78), (221) imply:
% 172.64/26.96  | | | | |   (223)   ~ (all_52_1 = e0)
% 172.64/26.96  | | | | | 
% 172.64/26.96  | | | | | REDUCE: (29), (221) imply:
% 172.64/26.96  | | | | |   (224)   ~ (all_52_13 = e0)
% 172.64/26.96  | | | | | 
% 172.64/26.96  | | | | | SIMP: (224) implies:
% 172.64/26.96  | | | | |   (225)   ~ (all_52_13 = e0)
% 172.64/26.96  | | | | | 
% 172.64/26.96  | | | | | REDUCE: (39), (221) imply:
% 172.64/26.96  | | | | |   (226)   ~ (all_10_2 = e0)
% 172.64/26.96  | | | | | 
% 172.64/26.96  | | | | | REDUCE: (19), (221) imply:
% 172.64/26.96  | | | | |   (227)   ~ (all_4_2 = e0)
% 172.64/26.96  | | | | | 
% 172.64/26.96  | | | | | BETA: splitting (98) gives:
% 172.64/26.96  | | | | | 
% 172.64/26.96  | | | | | Case 1:
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | |   (228)  all_56_9 = e0
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | | COMBINE_EQS: (47), (228) imply:
% 172.64/26.96  | | | | | |   (229)  all_52_12 = e0
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | | SIMP: (229) implies:
% 172.64/26.96  | | | | | |   (230)  all_52_12 = e0
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | | COMBINE_EQS: (105), (230) imply:
% 172.64/26.96  | | | | | |   (231)  all_58_28 = e0
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | | REDUCE: (86), (230) imply:
% 172.64/26.96  | | | | | |   (232)   ~ (all_52_4 = e0)
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | | REDUCE: (4), (230) imply:
% 172.64/26.96  | | | | | |   (233)   ~ (all_52_8 = e0)
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | | REDUCE: (82), (230) imply:
% 172.64/26.96  | | | | | |   (234)   ~ (all_52_14 = e0)
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | | REDUCE: (1), (230) imply:
% 172.64/26.96  | | | | | |   (235)   ~ (all_14_2 = e0)
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | | SIMP: (235) implies:
% 172.64/26.96  | | | | | |   (236)   ~ (all_14_2 = e0)
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | | REDUCE: (11), (230) imply:
% 172.64/26.96  | | | | | |   (237)   ~ (all_6_2 = e0)
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | | SIMP: (237) implies:
% 172.64/26.96  | | | | | |   (238)   ~ (all_6_2 = e0)
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | | REF_CLOSE: (2), (3), (6), (7), (10), (12), (13), (14), (15), (16),
% 172.64/26.96  | | | | | |            (17), (22), (23), (25), (26), (27), (28), (30), (31),
% 172.64/26.96  | | | | | |            (32), (33), (34), (35), (36), (38), (40), (41), (42),
% 172.64/26.96  | | | | | |            (43), (44), (45), (46), (49), (50), (51), (52), (53),
% 172.64/26.96  | | | | | |            (55), (56), (57), (58), (59), (62), (63), (64), (65),
% 172.64/26.96  | | | | | |            (67), (68), (69), (70), (72), (75), (77), (79), (80),
% 172.64/26.96  | | | | | |            (81), (84), (85), (87), (88), (89), (90), (91), (93),
% 172.64/26.96  | | | | | |            (94), (95), (96), (97), (99), (100), (101), (102), (103),
% 172.64/26.96  | | | | | |            (104), (107), (108), (109), (111), (112), (113), (115),
% 172.64/26.96  | | | | | |            (116), (123), (126), (127), (129), (222), (223), (225),
% 172.64/26.96  | | | | | |            (228), (231), (232), (233), (236), (238) are inconsistent
% 172.64/26.96  | | | | | |            by sub-proof #396.
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | Case 2:
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | |   (239)  all_56_10 = e0 | all_56_11 = e0
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | | REF_CLOSE: (36), (101), (104), (225), (239) are inconsistent by
% 172.64/26.96  | | | | | |            sub-proof #414.
% 172.64/26.96  | | | | | | 
% 172.64/26.96  | | | | | End of split
% 172.64/26.96  | | | | | 
% 172.64/26.96  | | | | Case 2:
% 172.64/26.96  | | | | | 
% 172.64/26.96  | | | | |   (240)  all_56_8 = e0 | all_56_14 = e0
% 172.64/26.96  | | | | | 
% 172.64/26.96  | | | | | REF_CLOSE: (3), (21), (24), (129), (240) are inconsistent by sub-proof
% 172.64/26.96  | | | | |            #914.
% 172.64/26.96  | | | | | 
% 172.64/26.96  | | | | End of split
% 172.64/26.96  | | | | 
% 172.64/26.96  | | | End of split
% 172.64/26.96  | | | 
% 172.64/26.96  | | End of split
% 172.64/26.96  | | 
% 172.64/26.96  | End of split
% 172.64/26.96  | 
% 172.64/26.96  End of proof
% 172.64/26.96  
% 172.64/26.96  Sub-proof #396 shows that the following formulas are inconsistent:
% 172.64/26.96  ----------------------------------------------------------------
% 172.64/26.96    (1)  all_56_1 = all_52_4
% 172.64/26.96    (2)   ~ (all_10_2 = e0)
% 172.64/26.96    (3)   ~ (all_52_4 = all_4_2)
% 172.64/26.96    (4)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.64/26.96    (5)  op(all_6_2, e3) = all_6_1
% 172.64/26.96    (6)   ~ (all_52_6 = all_4_2)
% 172.64/26.96    (7)  op(e3, all_6_2) = all_58_0
% 172.64/26.96    (8)  op(e1, e0) = all_52_14
% 172.64/26.96    (9)  all_56_15 = all_14_2
% 172.64/26.96    (10)  op(e3, all_52_4) = all_58_1
% 172.64/26.96    (11)  all_54_1 = all_52_4
% 172.64/26.96    (12)   ~ (all_14_2 = e0)
% 172.64/26.96    (13)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 172.64/26.96    (14)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.64/26.96    (15)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.64/26.96    (16)  all_58_26 = all_10_2
% 172.64/26.96    (17)   ~ (all_52_4 = all_52_6)
% 172.64/26.96    (18)  all_58_31 = all_14_2
% 172.64/26.96    (19)   ~ (all_52_3 = all_6_2)
% 172.64/26.96    (20)  all_58_25 = e0
% 172.64/26.96    (21)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.64/26.96    (22)   ~ (all_52_4 = e0)
% 172.64/26.96    (23)  all_56_9 = e0
% 172.64/26.96    (24)  all_58_18 = e0
% 172.64/26.97    (25)   ~ (all_52_1 = all_6_2)
% 172.64/26.97    (26)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 172.64/26.97    (27)  all_54_2 = all_52_8
% 172.64/26.97    (28)  all_56_11 = all_52_14
% 172.64/26.97    (29)  all_56_0 = all_6_2
% 172.64/26.97    (30)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.64/26.97    (31)  all_58_30 = all_52_14
% 172.64/26.97    (32)  all_58_27 = all_52_11
% 172.64/26.97    (33)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.64/26.97    (34)  all_58_17 = all_52_1
% 172.64/26.97    (35)  op(e3, e1) = all_52_8
% 172.64/26.97    (36)  all_58_19 = all_52_3
% 172.64/26.97    (37)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.64/26.97    (38)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.64/26.97    (39)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.64/26.97    (40)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 172.64/26.97    (41)   ~ (all_52_13 = all_14_2)
% 172.64/26.97    (42)  all_58_28 = e0
% 172.64/26.97    (43)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.64/26.97    (44)  all_54_9 = all_52_6
% 172.64/26.97    (45)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.64/26.97    (46)   ~ (all_52_13 = all_52_14)
% 172.64/26.97    (47)  all_58_16 = all_6_2
% 172.64/26.97    (48)   ~ (all_52_4 = all_6_2)
% 172.64/26.97    (49)   ~ (e3 = e0)
% 172.64/26.97    (50)  all_58_29 = all_52_13
% 172.64/26.97    (51)   ~ (all_52_13 = e0)
% 172.64/26.97    (52)   ~ (all_4_2 = e0)
% 172.64/26.97    (53)   ~ (all_6_2 = e0)
% 172.64/26.97    (54)   ~ (all_52_6 = all_52_14)
% 172.64/26.97    (55)   ~ (all_52_8 = all_10_2)
% 172.64/26.97    (56)  all_56_4 = all_52_8
% 172.64/26.97    (57)   ~ (all_52_1 = all_52_13)
% 172.64/26.97    (58)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 172.64/26.97    (59)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 172.64/26.97    (60)   ~ (all_52_8 = all_6_2)
% 172.64/26.97    (61)  op(e3, e3) = all_6_2
% 172.64/26.97    (62)  all_56_6 = e0
% 172.64/26.97    (63)  all_56_13 = e0
% 172.64/26.97    (64)  all_58_24 = all_52_8
% 172.64/26.97    (65)  all_58_22 = all_52_6
% 172.64/26.97    (66)  op(all_14_2, e0) = all_14_1
% 172.64/26.97    (67)  all_56_3 = all_4_2
% 172.64/26.97    (68)  all_54_0 = all_6_2
% 172.64/26.97    (69)   ~ (all_52_14 = all_10_2)
% 172.64/26.97    (70)   ~ (all_52_11 = e0)
% 172.64/26.97    (71)   ~ (all_52_1 = e0)
% 172.64/26.97    (72)   ~ (all_52_4 = all_52_8)
% 172.64/26.97    (73)   ~ (all_52_14 = all_14_2)
% 172.64/26.97    (74)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 172.64/26.97    (75)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/26.97            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/26.97    (76)   ~ (all_6_1 = e0)
% 172.64/26.97    (77)   ~ (all_52_6 = e0)
% 172.64/26.97    (78)  all_54_12 = all_52_3
% 172.64/26.97    (79)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 172.64/26.97    (80)  all_58_21 = all_4_2
% 172.64/26.97    (81)  all_56_10 = all_52_13
% 172.64/26.97    (82)   ~ (all_52_3 = e0)
% 172.64/26.97    (83)   ~ (e2 = e0)
% 172.64/26.97    (84)   ~ (all_52_1 = all_52_3)
% 172.64/26.97    (85)   ~ (all_52_14 = e0)
% 172.64/26.97    (86)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.64/26.97    (87)   ~ (e1 = e0)
% 172.64/26.97    (88)  all_56_7 = all_52_6
% 172.64/26.97    (89)   ~ (all_52_8 = e0)
% 172.64/26.97    (90)  all_54_5 = all_4_2
% 172.64/26.97    (91)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.64/26.97          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.64/26.97          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/26.97          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/26.97          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/26.97          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/26.97          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/26.97          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.64/26.97          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.64/26.97          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.64/26.97            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.64/26.97            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.64/26.97            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.64/26.97            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.64/26.97            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.64/26.97            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.64/26.97            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.64/26.97            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.64/26.97            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/26.97            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.64/26.97            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.64/26.97            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/26.97            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.64/26.97            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.64/26.97            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.64/26.97            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.64/26.97          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.64/26.97          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/26.97          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.64/26.97            all_58_30 = e0 & e1 = e0)
% 172.64/26.97    (92)  all_54_7 = all_52_13
% 172.64/26.97    (93)  all_58_23 = e0
% 172.64/26.97    (94)  all_54_11 = all_52_14
% 172.64/26.97    (95)  op(all_14_1, all_14_2) = e1
% 172.64/26.97  
% 172.64/26.97  Begin of proof
% 172.64/26.97  | 
% 172.64/26.97  | BETA: splitting (40) gives:
% 172.64/26.97  | 
% 172.64/26.97  | Case 1:
% 172.64/26.97  | | 
% 172.64/26.97  | |   (96)  all_54_7 = e0
% 172.64/26.97  | | 
% 172.64/26.97  | | COMBINE_EQS: (92), (96) imply:
% 172.64/26.97  | |   (97)  all_52_13 = e0
% 172.64/26.97  | | 
% 172.64/26.97  | | REDUCE: (51), (97) imply:
% 172.64/26.97  | |   (98)  $false
% 172.64/26.97  | | 
% 172.64/26.97  | | CLOSE: (98) is inconsistent.
% 172.64/26.97  | | 
% 172.64/26.97  | Case 2:
% 172.64/26.97  | | 
% 172.64/26.97  | |   (99)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 172.64/26.97  | | 
% 172.64/26.97  | | BETA: splitting (58) gives:
% 172.64/26.97  | | 
% 172.64/26.97  | | Case 1:
% 172.64/26.97  | | | 
% 172.64/26.97  | | |   (100)  all_54_12 = e0
% 172.64/26.97  | | | 
% 172.64/26.97  | | | COMBINE_EQS: (78), (100) imply:
% 172.64/26.97  | | |   (101)  all_52_3 = e0
% 172.64/26.97  | | | 
% 172.64/26.97  | | | REDUCE: (82), (101) imply:
% 172.64/26.97  | | |   (102)  $false
% 172.64/26.97  | | | 
% 172.64/26.97  | | | CLOSE: (102) is inconsistent.
% 172.64/26.97  | | | 
% 172.64/26.97  | | Case 2:
% 172.64/26.97  | | | 
% 172.64/26.97  | | |   (103)   ~ (all_54_12 = e0)
% 172.64/26.97  | | |   (104)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 172.64/26.97  | | | 
% 172.64/26.97  | | | BETA: splitting (13) gives:
% 172.64/26.97  | | | 
% 172.64/26.97  | | | Case 1:
% 172.64/26.97  | | | | 
% 172.64/26.97  | | | |   (105)  all_54_11 = e0
% 172.64/26.97  | | | | 
% 172.64/26.97  | | | | COMBINE_EQS: (94), (105) imply:
% 172.64/26.97  | | | |   (106)  all_52_14 = e0
% 172.64/26.97  | | | | 
% 172.64/26.97  | | | | REDUCE: (85), (106) imply:
% 172.64/26.97  | | | |   (107)  $false
% 172.64/26.97  | | | | 
% 172.64/26.97  | | | | CLOSE: (107) is inconsistent.
% 172.64/26.97  | | | | 
% 172.64/26.97  | | | Case 2:
% 172.64/26.97  | | | | 
% 172.64/26.97  | | | |   (108)   ~ (all_54_11 = e0)
% 172.64/26.97  | | | |   (109)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 172.64/26.97  | | | | 
% 172.64/26.97  | | | | BETA: splitting (59) gives:
% 172.64/26.97  | | | | 
% 172.64/26.97  | | | | Case 1:
% 172.64/26.97  | | | | | 
% 172.64/26.97  | | | | |   (110)  all_54_2 = e0
% 172.64/26.97  | | | | | 
% 172.64/26.97  | | | | | REF_CLOSE: (27), (89), (110) are inconsistent by sub-proof #763.
% 172.64/26.97  | | | | | 
% 172.64/26.97  | | | | Case 2:
% 172.64/26.97  | | | | | 
% 172.64/26.97  | | | | |   (111)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1
% 172.64/26.97  | | | | | 
% 172.64/26.97  | | | | | BETA: splitting (43) gives:
% 172.64/26.97  | | | | | 
% 172.64/26.97  | | | | | Case 1:
% 172.64/26.97  | | | | | | 
% 172.64/26.97  | | | | | |   (112)  all_54_1 = e0
% 172.64/26.97  | | | | | | 
% 172.64/26.97  | | | | | | REF_CLOSE: (11), (22), (112) are inconsistent by sub-proof #866.
% 172.64/26.97  | | | | | | 
% 172.64/26.97  | | | | | Case 2:
% 172.64/26.97  | | | | | | 
% 172.64/26.97  | | | | | |   (113)   ~ (all_54_1 = e0)
% 172.64/26.97  | | | | | |   (114)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 172.64/26.97  | | | | | | 
% 172.64/26.97  | | | | | | BETA: splitting (4) gives:
% 172.64/26.97  | | | | | | 
% 172.64/26.97  | | | | | | Case 1:
% 172.64/26.97  | | | | | | | 
% 172.64/26.97  | | | | | | |   (115)  all_58_19 = e0
% 172.64/26.97  | | | | | | | 
% 172.64/26.97  | | | | | | | COMBINE_EQS: (36), (115) imply:
% 172.64/26.97  | | | | | | |   (116)  all_52_3 = e0
% 172.64/26.97  | | | | | | | 
% 172.64/26.97  | | | | | | | REDUCE: (82), (116) imply:
% 172.64/26.97  | | | | | | |   (117)  $false
% 172.64/26.97  | | | | | | | 
% 172.64/26.97  | | | | | | | CLOSE: (117) is inconsistent.
% 172.64/26.97  | | | | | | | 
% 172.64/26.97  | | | | | | Case 2:
% 172.64/26.97  | | | | | | | 
% 172.64/26.97  | | | | | | |   (118)   ~ (all_58_19 = e0)
% 172.64/26.97  | | | | | | |   (119)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.64/26.97  | | | | | | | 
% 172.64/26.97  | | | | | | | BETA: splitting (15) gives:
% 172.64/26.97  | | | | | | | 
% 172.64/26.97  | | | | | | | Case 1:
% 172.64/26.97  | | | | | | | | 
% 172.64/26.97  | | | | | | | |   (120)  all_58_31 = e0
% 172.64/26.97  | | | | | | | | 
% 172.64/26.97  | | | | | | | | COMBINE_EQS: (18), (120) imply:
% 172.64/26.97  | | | | | | | |   (121)  all_14_2 = e0
% 172.64/26.97  | | | | | | | | 
% 172.64/26.97  | | | | | | | | REDUCE: (12), (121) imply:
% 172.64/26.97  | | | | | | | |   (122)  $false
% 172.64/26.97  | | | | | | | | 
% 172.64/26.97  | | | | | | | | CLOSE: (122) is inconsistent.
% 172.64/26.97  | | | | | | | | 
% 172.64/26.97  | | | | | | | Case 2:
% 172.64/26.97  | | | | | | | | 
% 172.64/26.97  | | | | | | | |   (123)   ~ (all_58_31 = e0)
% 172.64/26.97  | | | | | | | |   (124)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.64/26.97  | | | | | | | | 
% 172.64/26.97  | | | | | | | | BETA: splitting (30) gives:
% 172.64/26.97  | | | | | | | | 
% 172.64/26.97  | | | | | | | | Case 1:
% 172.64/26.97  | | | | | | | | | 
% 172.64/26.97  | | | | | | | | |   (125)  all_58_27 = e0
% 172.64/26.97  | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | COMBINE_EQS: (32), (125) imply:
% 172.64/26.97  | | | | | | | | |   (126)  all_52_11 = e0
% 172.64/26.97  | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | REDUCE: (70), (126) imply:
% 172.64/26.97  | | | | | | | | |   (127)  $false
% 172.64/26.97  | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | CLOSE: (127) is inconsistent.
% 172.64/26.97  | | | | | | | | | 
% 172.64/26.97  | | | | | | | | Case 2:
% 172.64/26.97  | | | | | | | | | 
% 172.64/26.97  | | | | | | | | |   (128)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.64/26.97  | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | BETA: splitting (14) gives:
% 172.64/26.97  | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | Case 1:
% 172.64/26.97  | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | |   (129)  all_56_0 = e3
% 172.64/26.97  | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | COMBINE_EQS: (29), (129) imply:
% 172.64/26.97  | | | | | | | | | |   (130)  all_6_2 = e3
% 172.64/26.97  | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | REDUCE: (48), (130) imply:
% 172.64/26.97  | | | | | | | | | |   (131)   ~ (all_52_4 = e3)
% 172.64/26.97  | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | REDUCE: (60), (130) imply:
% 172.64/26.97  | | | | | | | | | |   (132)   ~ (all_52_8 = e3)
% 172.64/26.97  | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | REDUCE: (5), (130) imply:
% 172.64/26.97  | | | | | | | | | |   (133)  op(e3, e3) = all_6_1
% 172.64/26.97  | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | REDUCE: (7), (130) imply:
% 172.64/26.97  | | | | | | | | | |   (134)  op(e3, e3) = all_58_0
% 172.64/26.97  | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | REDUCE: (61), (130) imply:
% 172.64/26.97  | | | | | | | | | |   (135)  op(e3, e3) = e3
% 172.64/26.97  | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | BETA: splitting (128) gives:
% 172.64/26.97  | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | Case 1:
% 172.64/26.97  | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | |   (136)  all_58_26 = e1
% 172.64/26.97  | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | COMBINE_EQS: (16), (136) imply:
% 172.64/26.97  | | | | | | | | | | |   (137)  all_10_2 = e1
% 172.64/26.97  | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | SIMP: (137) implies:
% 172.64/26.97  | | | | | | | | | | |   (138)  all_10_2 = e1
% 172.64/26.97  | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | REDUCE: (55), (138) imply:
% 172.64/26.97  | | | | | | | | | | |   (139)   ~ (all_52_8 = e1)
% 172.64/26.97  | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | REDUCE: (69), (138) imply:
% 172.64/26.97  | | | | | | | | | | |   (140)   ~ (all_52_14 = e1)
% 172.64/26.97  | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | BETA: splitting (124) gives:
% 172.64/26.97  | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | Case 1:
% 172.64/26.97  | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | |   (141)  all_58_30 = e1
% 172.64/26.97  | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | COMBINE_EQS: (31), (141) imply:
% 172.64/26.97  | | | | | | | | | | | |   (142)  all_52_14 = e1
% 172.64/26.97  | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | REDUCE: (140), (142) imply:
% 172.64/26.97  | | | | | | | | | | | |   (143)  $false
% 172.64/26.97  | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | CLOSE: (143) is inconsistent.
% 172.64/26.97  | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | Case 2:
% 172.64/26.97  | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | |   (144)   ~ (all_58_30 = e1)
% 172.64/26.97  | | | | | | | | | | | |   (145)  all_58_28 = e3 | all_58_29 = e2
% 172.64/26.97  | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | BETA: splitting (111) gives:
% 172.64/26.97  | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | Case 1:
% 172.64/26.97  | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | |   (146)  all_54_2 = e1
% 172.64/26.97  | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | COMBINE_EQS: (27), (146) imply:
% 172.64/26.97  | | | | | | | | | | | | |   (147)  all_52_8 = e1
% 172.64/26.97  | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | REDUCE: (139), (147) imply:
% 172.64/26.97  | | | | | | | | | | | | |   (148)  $false
% 172.64/26.97  | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | CLOSE: (148) is inconsistent.
% 172.64/26.97  | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | Case 2:
% 172.64/26.97  | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | |   (149)  all_54_2 = e3 | all_54_2 = e2
% 172.64/26.97  | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | BETA: splitting (145) gives:
% 172.64/26.97  | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | Case 1:
% 172.64/26.97  | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | |   (150)  all_58_29 = e2
% 172.64/26.97  | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | COMBINE_EQS: (50), (150) imply:
% 172.64/26.97  | | | | | | | | | | | | | |   (151)  all_52_13 = e2
% 172.64/26.97  | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | COMBINE_EQS: (81), (151) imply:
% 172.64/26.97  | | | | | | | | | | | | | |   (152)  all_56_10 = e2
% 172.64/26.97  | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | REDUCE: (46), (151) imply:
% 172.64/26.97  | | | | | | | | | | | | | |   (153)   ~ (all_52_14 = e2)
% 172.64/26.97  | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | SIMP: (153) implies:
% 172.64/26.97  | | | | | | | | | | | | | |   (154)   ~ (all_52_14 = e2)
% 172.64/26.97  | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 172.64/26.97  | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | Case 1:
% 172.64/26.97  | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | |   (155)  all_56_9 = e1
% 172.64/26.97  | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | COMBINE_EQS: (23), (155) imply:
% 172.64/26.97  | | | | | | | | | | | | | | |   (156)  e1 = e0
% 172.64/26.97  | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | REDUCE: (87), (156) imply:
% 172.64/26.97  | | | | | | | | | | | | | | |   (157)  $false
% 172.64/26.97  | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | CLOSE: (157) is inconsistent.
% 172.64/26.97  | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | Case 2:
% 172.64/26.97  | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | |   (158)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.64/26.97  | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 172.64/26.97  | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | Case 1:
% 172.64/26.97  | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | |   (159)  all_54_2 = e2
% 172.64/26.97  | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | COMBINE_EQS: (27), (159) imply:
% 172.64/26.97  | | | | | | | | | | | | | | | |   (160)  all_52_8 = e2
% 172.64/26.97  | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | SIMP: (160) implies:
% 172.64/26.97  | | | | | | | | | | | | | | | |   (161)  all_52_8 = e2
% 172.64/26.97  | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | REDUCE: (72), (161) imply:
% 172.64/26.97  | | | | | | | | | | | | | | | |   (162)   ~ (all_52_4 = e2)
% 172.64/26.97  | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | BETA: splitting (114) gives:
% 172.64/26.97  | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | Case 1:
% 172.64/26.97  | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | |   (163)  all_54_1 = e1
% 172.64/26.97  | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | COMBINE_EQS: (11), (163) imply:
% 172.64/26.97  | | | | | | | | | | | | | | | | |   (164)  all_52_4 = e1
% 172.64/26.97  | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | SIMP: (164) implies:
% 172.64/26.97  | | | | | | | | | | | | | | | | |   (165)  all_52_4 = e1
% 172.64/26.97  | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | REDUCE: (72), (165) imply:
% 172.64/26.97  | | | | | | | | | | | | | | | | |   (166)   ~ (all_52_8 = e1)
% 172.64/26.97  | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | REDUCE: (162), (165) imply:
% 172.64/26.97  | | | | | | | | | | | | | | | | |   (167)   ~ (e2 = e1)
% 172.64/26.97  | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | SIMP: (167) implies:
% 172.64/26.97  | | | | | | | | | | | | | | | | |   (168)   ~ (e2 = e1)
% 172.64/26.97  | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | REDUCE: (10), (165) imply:
% 172.64/26.97  | | | | | | | | | | | | | | | | |   (169)  op(e3, e1) = all_58_1
% 172.64/26.97  | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 172.64/26.97  | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | Case 1:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | |   (170)  all_56_10 = e1
% 172.64/26.97  | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (152), (170) imply:
% 172.64/26.97  | | | | | | | | | | | | | | | | | |   (171)  e2 = e1
% 172.64/26.97  | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | SIMP: (171) implies:
% 172.64/26.97  | | | | | | | | | | | | | | | | | |   (172)  e2 = e1
% 172.64/26.97  | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (150), (172) imply:
% 172.64/26.97  | | | | | | | | | | | | | | | | | |   (173)  all_58_29 = e1
% 172.64/26.97  | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (42), (49), (124), (140), (168), (173) are
% 172.64/26.97  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #856.
% 172.64/26.97  | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | Case 2:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | |   (174)  all_56_11 = e1 | all_56_15 = e1
% 172.64/26.97  | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | BETA: splitting (174) gives:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | |   (175)  all_56_11 = e1
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (140), (175) are inconsistent by sub-proof
% 172.64/26.97  | | | | | | | | | | | | | | | | | | |            #854.
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | |   (176)  all_56_15 = e1
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9), (176) imply:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | |   (177)  all_14_2 = e1
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | SIMP: (177) implies:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | |   (178)  all_14_2 = e1
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | REDUCE: (95), (178) imply:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | |   (179)  op(all_14_1, e1) = e1
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | REDUCE: (66), (178) imply:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | |   (180)  op(e1, e0) = all_14_1
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | BETA: splitting (26) gives:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | |   (181)  all_56_4 = e2
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (161) imply:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | |   (182)  op(e3, e1) = e2
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | BETA: splitting (109) gives:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | |   (183)  all_54_11 = e1
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (140), (183) are inconsistent by sub-proof
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | |            #929.
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | |   (184)   ~ (all_54_11 = e1)
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | |   (185)  all_54_11 = e3 | all_54_11 = e2
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | |   (186)  all_54_11 = e2
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (154), (186) are inconsistent by sub-proof
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | |            #585.
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | |   (187)  all_54_11 = e3
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (94), (187) imply:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | |   (188)  all_52_14 = e3
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | SIMP: (188) implies:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | |   (189)  all_52_14 = e3
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (189) imply:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | |   (190)  op(e1, e0) = e3
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (75) with e3, all_14_1, e0, e1,
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | |              simplifying with (180), (190) gives:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | |   (191)  all_14_1 = e3
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (75) with e2, all_58_1, e1, e3,
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | |              simplifying with (169), (182) gives:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | |   (192)  all_58_1 = e2
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (75) with all_6_1, all_58_0, e3, e3,
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | |              simplifying with (133), (134) gives:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | |   (193)  all_58_0 = all_6_1
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (75) with e3, all_58_0, e3, e3,
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | |              simplifying with (134), (135) gives:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | |   (194)  all_58_0 = e3
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (193), (194) imply:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | |   (195)  all_6_1 = e3
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | SIMP: (195) implies:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | |   (196)  all_6_1 = e3
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (191) imply:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | |   (197)  op(e3, e1) = e1
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (75) with e2, e1, e1, e3,
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | |              simplifying with (182), (197) gives:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | |   (198)  e2 = e1
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (150), (198) imply:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | |   (199)  all_58_29 = e1
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (42), (49), (124), (140), (168), (199) are
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #856.
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | End of split
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | End of split
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | |   (200)   ~ (all_56_4 = e2)
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (56), (132), (149), (200) are inconsistent
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | |            by sub-proof #538.
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | End of split
% 172.64/26.97  | | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | | End of split
% 172.64/26.97  | | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | End of split
% 172.64/26.97  | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | Case 2:
% 172.64/26.97  | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | |   (201)  all_54_1 = e3 | all_54_1 = e2
% 172.64/26.97  | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (131), (162), (201) are inconsistent by
% 172.64/26.97  | | | | | | | | | | | | | | | | |            sub-proof #863.
% 172.64/26.97  | | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | End of split
% 172.64/26.97  | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | Case 2:
% 172.64/26.97  | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | |   (202)  all_54_2 = e3
% 172.64/26.97  | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | | REF_CLOSE: (27), (132), (202) are inconsistent by sub-proof
% 172.64/26.97  | | | | | | | | | | | | | | | |            #758.
% 172.64/26.97  | | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | | End of split
% 172.64/26.97  | | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | End of split
% 172.64/26.97  | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | Case 2:
% 172.64/26.97  | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | |   (203)  all_58_28 = e3
% 172.64/26.97  | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | | REF_CLOSE: (42), (49), (203) are inconsistent by sub-proof
% 172.64/26.97  | | | | | | | | | | | | | |            #857.
% 172.64/26.97  | | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | End of split
% 172.64/26.97  | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | End of split
% 172.64/26.97  | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | End of split
% 172.64/26.97  | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | Case 2:
% 172.64/26.97  | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | |   (204)  all_58_24 = e3 | all_58_25 = e2
% 172.64/26.97  | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | REF_CLOSE: (20), (64), (83), (132), (204) are inconsistent by
% 172.64/26.97  | | | | | | | | | | |            sub-proof #849.
% 172.64/26.97  | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | End of split
% 172.64/26.97  | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | Case 2:
% 172.64/26.97  | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | |   (205)   ~ (all_56_0 = e3)
% 172.64/26.97  | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | REDUCE: (29), (205) imply:
% 172.64/26.97  | | | | | | | | | |   (206)   ~ (all_6_2 = e3)
% 172.64/26.97  | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | BETA: splitting (119) gives:
% 172.64/26.97  | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | Case 1:
% 172.64/26.97  | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | |   (207)  all_58_18 = e1
% 172.64/26.97  | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | COMBINE_EQS: (24), (207) imply:
% 172.64/26.97  | | | | | | | | | | |   (208)  e1 = e0
% 172.64/26.97  | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | REDUCE: (87), (208) imply:
% 172.64/26.97  | | | | | | | | | | |   (209)  $false
% 172.64/26.97  | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | CLOSE: (209) is inconsistent.
% 172.64/26.97  | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | Case 2:
% 172.64/26.97  | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | |   (210)  all_58_16 = e3 | all_58_17 = e2
% 172.64/26.97  | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | BETA: splitting (210) gives:
% 172.64/26.97  | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | Case 1:
% 172.64/26.97  | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | |   (211)  all_58_17 = e2
% 172.64/26.97  | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | COMBINE_EQS: (34), (211) imply:
% 172.64/26.97  | | | | | | | | | | | |   (212)  all_52_1 = e2
% 172.64/26.97  | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | REDUCE: (84), (212) imply:
% 172.64/26.97  | | | | | | | | | | | |   (213)   ~ (all_52_3 = e2)
% 172.64/26.97  | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | SIMP: (213) implies:
% 172.64/26.97  | | | | | | | | | | | |   (214)   ~ (all_52_3 = e2)
% 172.64/26.97  | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | REDUCE: (57), (212) imply:
% 172.64/26.97  | | | | | | | | | | | |   (215)   ~ (all_52_13 = e2)
% 172.64/26.97  | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | SIMP: (215) implies:
% 172.64/26.97  | | | | | | | | | | | |   (216)   ~ (all_52_13 = e2)
% 172.64/26.97  | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | REDUCE: (25), (212) imply:
% 172.64/26.97  | | | | | | | | | | | |   (217)   ~ (all_6_2 = e2)
% 172.64/26.97  | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | SIMP: (217) implies:
% 172.64/26.97  | | | | | | | | | | | |   (218)   ~ (all_6_2 = e2)
% 172.64/26.97  | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | BETA: splitting (38) gives:
% 172.64/26.97  | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | Case 1:
% 172.64/26.97  | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | |   (219)  all_54_0 = e1
% 172.64/26.97  | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | COMBINE_EQS: (68), (219) imply:
% 172.64/26.97  | | | | | | | | | | | | |   (220)  all_6_2 = e1
% 172.64/26.97  | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | SIMP: (220) implies:
% 172.64/26.97  | | | | | | | | | | | | |   (221)  all_6_2 = e1
% 172.64/26.97  | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | COMBINE_EQS: (29), (221) imply:
% 172.64/26.97  | | | | | | | | | | | | |   (222)  all_56_0 = e1
% 172.64/26.97  | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | COMBINE_EQS: (47), (221) imply:
% 172.64/26.97  | | | | | | | | | | | | |   (223)  all_58_16 = e1
% 172.64/26.97  | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | REDUCE: (19), (221) imply:
% 172.64/26.97  | | | | | | | | | | | | |   (224)   ~ (all_52_3 = e1)
% 172.64/26.97  | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | REDUCE: (48), (221) imply:
% 172.64/26.97  | | | | | | | | | | | | |   (225)   ~ (all_52_4 = e1)
% 172.64/26.97  | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | REDUCE: (206), (221) imply:
% 172.64/26.97  | | | | | | | | | | | | |   (226)   ~ (e3 = e1)
% 172.64/26.97  | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | SIMP: (226) implies:
% 172.64/26.97  | | | | | | | | | | | | |   (227)   ~ (e3 = e1)
% 172.64/26.97  | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | REDUCE: (218), (221) imply:
% 172.64/26.97  | | | | | | | | | | | | |   (228)   ~ (e2 = e1)
% 172.64/26.97  | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | SIMP: (228) implies:
% 172.64/26.97  | | | | | | | | | | | | |   (229)   ~ (e2 = e1)
% 172.64/26.97  | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | REF_CLOSE: (1), (3), (6), (9), (11), (12), (16), (17), (18),
% 172.64/26.97  | | | | | | | | | | | | |            (20), (21), (22), (23), (24), (28), (31), (33),
% 172.64/26.97  | | | | | | | | | | | | |            (36), (37), (39), (41), (42), (43), (44), (46),
% 172.64/26.97  | | | | | | | | | | | | |            (49), (50), (52), (54), (56), (62), (63), (64),
% 172.64/26.97  | | | | | | | | | | | | |            (65), (67), (69), (72), (73), (74), (77), (78),
% 172.64/26.97  | | | | | | | | | | | | |            (79), (80), (81), (82), (83), (85), (86), (88),
% 172.64/26.97  | | | | | | | | | | | | |            (90), (91), (92), (93), (99), (104), (124), (128),
% 172.64/26.97  | | | | | | | | | | | | |            (210), (211), (214), (216), (222), (223), (224),
% 172.64/26.97  | | | | | | | | | | | | |            (225), (227), (229) are inconsistent by sub-proof
% 172.64/26.97  | | | | | | | | | | | | |            #421.
% 172.64/26.97  | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | Case 2:
% 172.64/26.97  | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | |   (230)  all_54_0 = e3 | all_54_0 = e2
% 172.64/26.97  | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | | REF_CLOSE: (68), (206), (218), (230) are inconsistent by
% 172.64/26.97  | | | | | | | | | | | | |            sub-proof #843.
% 172.64/26.97  | | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | End of split
% 172.64/26.97  | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | Case 2:
% 172.64/26.97  | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | |   (231)  all_58_16 = e3
% 172.64/26.97  | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | COMBINE_EQS: (47), (231) imply:
% 172.64/26.97  | | | | | | | | | | | |   (232)  all_6_2 = e3
% 172.64/26.97  | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | REDUCE: (206), (232) imply:
% 172.64/26.97  | | | | | | | | | | | |   (233)  $false
% 172.64/26.97  | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | | CLOSE: (233) is inconsistent.
% 172.64/26.97  | | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | | End of split
% 172.64/26.97  | | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | | End of split
% 172.64/26.97  | | | | | | | | | | 
% 172.64/26.97  | | | | | | | | | End of split
% 172.64/26.97  | | | | | | | | | 
% 172.64/26.97  | | | | | | | | End of split
% 172.64/26.97  | | | | | | | | 
% 172.64/26.97  | | | | | | | End of split
% 172.64/26.97  | | | | | | | 
% 172.64/26.97  | | | | | | End of split
% 172.64/26.97  | | | | | | 
% 172.64/26.97  | | | | | End of split
% 172.64/26.97  | | | | | 
% 172.64/26.97  | | | | End of split
% 172.64/26.97  | | | | 
% 172.64/26.97  | | | End of split
% 172.64/26.97  | | | 
% 172.64/26.97  | | End of split
% 172.64/26.97  | | 
% 172.64/26.97  | End of split
% 172.64/26.97  | 
% 172.64/26.97  End of proof
% 172.64/26.97  
% 172.64/26.97  Sub-proof #397 shows that the following formulas are inconsistent:
% 172.64/26.97  ----------------------------------------------------------------
% 172.64/26.97    (1)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.64/26.97    (2)   ~ (all_52_12 = all_6_2)
% 172.64/26.97    (3)  op(e3, all_52_4) = all_58_1
% 172.64/26.97    (4)  all_54_1 = all_52_4
% 172.64/26.97    (5)  op(all_10_2, e1) = all_10_1
% 172.64/26.97    (6)   ~ (all_14_2 = e0)
% 172.64/26.97    (7)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.64/26.97    (8)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.64/26.97    (9)   ~ (all_52_9 = e0)
% 172.64/26.97    (10)  all_58_26 = all_10_2
% 172.64/26.97    (11)   ~ (all_52_4 = all_52_6)
% 172.64/26.97    (12)  all_58_31 = all_14_2
% 172.64/26.97    (13)   ~ (all_52_4 = e0)
% 172.64/26.97    (14)  all_58_18 = e0
% 172.64/26.97    (15)   ~ (all_52_9 = all_10_2)
% 172.64/26.97    (16)  all_58_30 = all_52_14
% 172.64/26.97    (17)  all_58_17 = all_52_1
% 172.64/26.97    (18)  all_58_19 = all_52_3
% 172.64/26.97    (19)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.64/26.97    (20)   ~ (all_52_6 = all_10_2)
% 172.64/26.97    (21)  all_6_2 = e3
% 172.64/26.97    (22)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.64/26.97    (23)  all_54_9 = all_52_6
% 172.64/26.97    (24)  all_58_16 = all_6_2
% 172.64/26.97    (25)   ~ (all_52_4 = all_6_2)
% 172.64/26.97    (26)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.64/26.97    (27)   ~ (all_6_2 = e0)
% 172.64/26.97    (28)   ~ (all_52_6 = all_52_14)
% 172.64/26.97    (29)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 172.64/26.97    (30)  all_54_10 = all_10_2
% 172.64/26.97    (31)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 172.64/26.97    (32)  op(e3, e1) = e0
% 172.64/26.97    (33)   ~ (all_52_1 = all_52_9)
% 172.64/26.97    (34)  all_56_6 = e0
% 172.64/26.97    (35)  all_58_29 = e0
% 172.64/26.97    (36)   ~ (all_52_14 = all_10_2)
% 172.64/26.97    (37)  all_58_24 = e0
% 172.64/26.97    (38)  all_58_25 = all_52_9
% 172.64/26.97    (39)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/26.97            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/26.97    (40)   ~ (all_52_3 = e0)
% 172.64/26.97    (41)   ~ (e2 = e0)
% 172.64/26.97    (42)   ~ (all_52_14 = e0)
% 172.64/26.97    (43)  all_58_28 = all_52_12
% 172.64/26.97    (44)  all_56_7 = all_52_6
% 172.64/26.97    (45)   ~ (all_10_1 = e0)
% 172.64/26.97  
% 172.64/26.97  Begin of proof
% 172.64/26.97  | 
% 172.64/26.98  | REDUCE: (2), (21) imply:
% 172.64/26.98  |   (46)   ~ (all_52_12 = e3)
% 172.64/26.98  | 
% 172.64/26.98  | REDUCE: (21), (27) imply:
% 172.64/26.98  |   (47)   ~ (e3 = e0)
% 172.64/26.98  | 
% 172.64/26.98  | BETA: splitting (7) gives:
% 172.64/26.98  | 
% 172.64/26.98  | Case 1:
% 172.64/26.98  | | 
% 172.64/26.98  | |   (48)  all_58_30 = e1
% 172.64/26.98  | | 
% 172.64/26.98  | | COMBINE_EQS: (16), (48) imply:
% 172.64/26.98  | |   (49)  all_52_14 = e1
% 172.64/26.98  | | 
% 172.64/26.98  | | REDUCE: (36), (49) imply:
% 172.64/26.98  | |   (50)   ~ (all_10_2 = e1)
% 172.64/26.98  | | 
% 172.64/26.98  | | SIMP: (50) implies:
% 172.64/26.98  | |   (51)   ~ (all_10_2 = e1)
% 172.64/26.98  | | 
% 172.64/26.98  | | REDUCE: (42), (49) imply:
% 172.64/26.98  | |   (52)   ~ (e1 = e0)
% 172.64/26.98  | | 
% 172.64/26.98  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13),
% 172.64/26.98  | |            (14), (15), (16), (17), (18), (19), (20), (22), (23), (24), (25),
% 172.64/26.98  | |            (26), (28), (29), (30), (31), (32), (33), (34), (35), (37), (38),
% 172.64/26.98  | |            (39), (40), (43), (44), (45), (47), (51), (52) are inconsistent
% 172.64/26.98  | |            by sub-proof #859.
% 172.64/26.98  | | 
% 172.64/26.98  | Case 2:
% 172.64/26.98  | | 
% 172.64/26.98  | |   (53)  all_58_28 = e3 | all_58_29 = e2
% 172.64/26.98  | | 
% 172.64/26.98  | | REF_CLOSE: (35), (41), (43), (46), (53) are inconsistent by sub-proof #869.
% 172.64/26.98  | | 
% 172.64/26.98  | End of split
% 172.64/26.98  | 
% 172.64/26.98  End of proof
% 172.64/26.98  
% 172.64/26.98  Sub-proof #398 shows that the following formulas are inconsistent:
% 172.64/26.98  ----------------------------------------------------------------
% 172.64/26.98    (1)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 172.64/26.98    (2)  all_56_12 = all_52_3
% 172.64/26.98    (3)  op(e3, all_52_12) = all_58_3
% 172.64/26.98    (4)   ~ (e3 = e1)
% 172.64/26.98    (5)  all_58_23 = all_52_7
% 172.64/26.98    (6)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.64/26.98    (7)  all_54_3 = all_52_12
% 172.64/26.98    (8)  all_56_5 = all_52_9
% 172.64/26.98    (9)   ~ (all_52_3 = all_52_11)
% 172.64/26.98    (10)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.64/26.98    (11)   ~ (all_52_12 = all_6_2)
% 172.64/26.98    (12)   ~ (all_52_6 = all_4_2)
% 172.64/26.98    (13)  all_56_15 = all_14_2
% 172.64/26.98    (14)  op(all_10_2, e1) = all_10_1
% 172.64/26.98    (15)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 172.64/26.98    (16)   ~ (all_52_9 = all_4_2)
% 172.64/26.98    (17)  all_54_6 = all_52_9
% 172.64/26.98    (18)  all_56_14 = all_52_11
% 172.64/26.98    (19)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 172.64/26.98    (20)   ~ (all_52_13 = all_4_2)
% 172.64/26.98    (21)  all_56_8 = all_10_2
% 172.64/26.98    (22)  op(e2, all_52_1) = all_58_4
% 172.64/26.98    (23)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.64/26.98    (24)  all_58_26 = all_10_2
% 172.64/26.98    (25)  all_58_31 = all_14_2
% 172.64/26.98    (26)   ~ (all_52_9 = all_52_13)
% 172.64/26.98    (27)  all_58_18 = e0
% 172.64/26.98    (28)   ~ (all_52_1 = all_6_2)
% 172.64/26.98    (29)  all_56_11 = all_52_14
% 172.64/26.98    (30)  op(e2, e1) = all_52_9
% 172.64/26.98    (31)   ~ (all_52_6 = all_52_7)
% 172.64/26.98    (32)   ~ (all_4_1 = e0)
% 172.64/26.98    (33)  all_56_0 = all_6_2
% 172.64/26.98    (34)  all_58_30 = all_52_14
% 172.64/26.98    (35)  op(all_4_2, e2) = all_4_1
% 172.64/26.98    (36)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.64/26.98    (37)  all_58_17 = all_52_1
% 172.64/26.98    (38)  all_58_20 = e0
% 172.64/26.98    (39)  all_58_19 = all_52_3
% 172.64/26.98    (40)  all_56_9 = all_52_12
% 172.64/26.98    (41)   ~ (e3 = e2)
% 172.64/26.98    (42)   ~ (e2 = e1)
% 172.64/26.98    (43)   ~ (all_52_6 = all_10_2)
% 172.64/26.98    (44)   ~ (all_52_13 = all_14_2)
% 172.64/26.98    (45)   ~ (all_52_1 = all_4_2)
% 172.64/26.98    (46)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.64/26.98    (47)  all_54_9 = all_52_6
% 172.64/26.98    (48)   ~ (all_52_13 = all_52_14)
% 172.64/26.98    (49)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.64/26.98    (50)  all_58_16 = all_6_2
% 172.64/26.98    (51)  all_56_13 = all_52_7
% 172.64/26.98    (52)  all_56_2 = all_52_1
% 172.64/26.98    (53)   ~ (e3 = e0)
% 172.64/26.98    (54)  all_58_29 = all_52_13
% 172.64/26.98    (55)  op(e3, e2) = e0
% 172.64/26.98    (56)   ~ (all_4_2 = e0)
% 172.64/26.98    (57)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.64/26.98    (58)   ~ (all_6_2 = e0)
% 172.64/26.98    (59)  all_56_4 = all_52_8
% 172.64/26.98    (60)   ~ (all_52_1 = all_52_13)
% 172.64/26.98    (61)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.64/26.98    (62)   ~ (all_52_7 = all_52_11)
% 172.64/26.98    (63)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.64/26.98    (64)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 172.64/26.98    (65)   ~ (all_52_8 = all_6_2)
% 172.64/26.98    (66)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 172.64/26.98    (67)   ~ (all_52_1 = all_52_9)
% 172.64/26.98    (68)  all_56_6 = e0
% 172.64/26.98    (69)   ~ (all_52_7 = e0)
% 172.64/26.98    (70)   ~ (all_52_12 = all_52_14)
% 172.64/26.98    (71)   ~ (all_52_9 = all_52_11)
% 172.64/26.98    (72)  all_58_22 = all_52_6
% 172.64/26.98    (73)  all_56_3 = all_4_2
% 172.64/26.98    (74)   ~ (all_52_14 = all_14_2)
% 172.64/26.98    (75)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 172.64/26.98    (76)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/26.98            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/26.98    (77)   ~ (all_52_6 = e0)
% 172.64/26.98    (78)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 172.64/26.98    (79)  all_58_21 = all_4_2
% 172.64/26.98    (80)  all_56_10 = all_52_13
% 172.64/26.98    (81)   ~ (all_52_3 = e0)
% 172.64/26.98    (82)   ~ (e2 = e0)
% 172.64/26.98    (83)  all_58_28 = all_52_12
% 172.64/26.98    (84)   ~ (e1 = e0)
% 172.64/26.98    (85)  all_54_4 = all_52_1
% 172.64/26.98    (86)  all_56_7 = all_52_6
% 172.64/26.98    (87)  all_54_5 = all_4_2
% 172.64/26.98    (88)  op(all_10_1, all_10_2) = all_10_0
% 172.64/26.98    (89)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 172.64/26.98    (90)   ~ (all_10_0 = e0)
% 172.64/26.98    (91)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.64/26.98          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.64/26.98          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/26.98          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/26.98          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/26.98          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/26.98          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/26.98          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.64/26.98          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.64/26.98          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.64/26.98            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.64/26.98            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.64/26.98            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.64/26.98            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.64/26.98            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.64/26.98            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.64/26.98            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.64/26.98            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.64/26.98            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/26.98            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.64/26.98            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.64/26.98            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/26.98            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.64/26.98            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.64/26.98            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.64/26.98            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.64/26.98          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.64/26.98          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/26.98          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.64/26.98            all_58_30 = e0 & e1 = e0)
% 172.64/26.98    (92)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.64/26.98    (93)   ~ (all_52_12 = all_52_13)
% 172.64/26.98  
% 172.64/26.98  Begin of proof
% 172.64/26.98  | 
% 172.64/26.98  | BETA: splitting (1) gives:
% 172.64/26.98  | 
% 172.64/26.98  | Case 1:
% 172.64/26.98  | | 
% 172.64/26.98  | |   (94)  all_56_12 = e0
% 172.64/26.98  | | 
% 172.64/26.98  | | REF_CLOSE: (2), (81), (94) are inconsistent by sub-proof #919.
% 172.64/26.98  | | 
% 172.64/26.98  | Case 2:
% 172.64/26.98  | | 
% 172.64/26.98  | |   (95)  all_56_13 = e0 | all_56_14 = e0
% 172.64/26.98  | | 
% 172.64/26.98  | | BETA: splitting (95) gives:
% 172.64/26.98  | | 
% 172.64/26.98  | | Case 1:
% 172.64/26.98  | | | 
% 172.64/26.98  | | |   (96)  all_56_13 = e0
% 172.64/26.98  | | | 
% 172.64/26.98  | | | REF_CLOSE: (51), (69), (96) are inconsistent by sub-proof #942.
% 172.64/26.98  | | | 
% 172.64/26.98  | | Case 2:
% 172.64/26.98  | | | 
% 172.64/26.98  | | |   (97)  all_56_14 = e0
% 172.64/26.98  | | | 
% 172.64/26.98  | | | COMBINE_EQS: (18), (97) imply:
% 172.64/26.98  | | |   (98)  all_52_11 = e0
% 172.64/26.98  | | | 
% 172.64/26.98  | | | SIMP: (98) implies:
% 172.64/26.98  | | |   (99)  all_52_11 = e0
% 172.64/26.98  | | | 
% 172.64/26.98  | | | REDUCE: (71), (99) imply:
% 172.64/26.98  | | |   (100)   ~ (all_52_9 = e0)
% 172.64/26.98  | | | 
% 172.64/26.98  | | | BETA: splitting (10) gives:
% 172.64/26.98  | | | 
% 172.64/26.98  | | | Case 1:
% 172.64/26.98  | | | | 
% 172.64/26.98  | | | |   (101)  all_56_3 = e0
% 172.64/26.98  | | | | 
% 172.64/26.98  | | | | COMBINE_EQS: (73), (101) imply:
% 172.64/26.98  | | | |   (102)  all_4_2 = e0
% 172.64/26.98  | | | | 
% 172.64/26.98  | | | | REDUCE: (56), (102) imply:
% 172.64/26.98  | | | |   (103)  $false
% 172.64/26.98  | | | | 
% 172.64/26.98  | | | | CLOSE: (103) is inconsistent.
% 172.64/26.98  | | | | 
% 172.64/26.98  | | | Case 2:
% 172.64/26.98  | | | | 
% 172.64/26.98  | | | |   (104)  all_56_5 = e0 | all_56_10 = e0
% 172.64/26.98  | | | | 
% 172.64/26.98  | | | | BETA: splitting (104) gives:
% 172.64/26.98  | | | | 
% 172.64/26.98  | | | | Case 1:
% 172.64/26.98  | | | | | 
% 172.64/26.98  | | | | |   (105)  all_56_5 = e0
% 172.64/26.98  | | | | | 
% 172.64/26.98  | | | | | COMBINE_EQS: (8), (105) imply:
% 172.64/26.98  | | | | |   (106)  all_52_9 = e0
% 172.64/26.98  | | | | | 
% 172.64/26.98  | | | | | REDUCE: (100), (106) imply:
% 172.64/26.98  | | | | |   (107)  $false
% 172.64/26.98  | | | | | 
% 172.64/26.98  | | | | | CLOSE: (107) is inconsistent.
% 172.64/26.98  | | | | | 
% 172.64/26.98  | | | | Case 2:
% 172.64/26.98  | | | | | 
% 172.64/26.98  | | | | |   (108)  all_56_10 = e0
% 172.64/26.98  | | | | | 
% 172.64/26.98  | | | | | COMBINE_EQS: (80), (108) imply:
% 172.64/26.98  | | | | |   (109)  all_52_13 = e0
% 172.64/26.98  | | | | | 
% 172.64/26.98  | | | | | SIMP: (109) implies:
% 172.64/26.98  | | | | |   (110)  all_52_13 = e0
% 172.64/26.98  | | | | | 
% 172.64/26.98  | | | | | COMBINE_EQS: (54), (110) imply:
% 172.64/26.98  | | | | |   (111)  all_58_29 = e0
% 172.64/26.98  | | | | | 
% 172.64/26.98  | | | | | REDUCE: (60), (110) imply:
% 172.64/26.98  | | | | |   (112)   ~ (all_52_1 = e0)
% 172.64/26.98  | | | | | 
% 172.64/26.98  | | | | | REDUCE: (93), (110) imply:
% 172.64/26.98  | | | | |   (113)   ~ (all_52_12 = e0)
% 172.64/26.98  | | | | | 
% 172.64/26.98  | | | | | REDUCE: (48), (110) imply:
% 172.64/26.98  | | | | |   (114)   ~ (all_52_14 = e0)
% 172.64/26.98  | | | | | 
% 172.64/26.98  | | | | | SIMP: (114) implies:
% 172.64/26.98  | | | | |   (115)   ~ (all_52_14 = e0)
% 172.64/26.98  | | | | | 
% 172.64/26.98  | | | | | REDUCE: (44), (110) imply:
% 172.64/26.98  | | | | |   (116)   ~ (all_14_2 = e0)
% 172.64/26.98  | | | | | 
% 172.64/26.98  | | | | | SIMP: (116) implies:
% 172.64/26.98  | | | | |   (117)   ~ (all_14_2 = e0)
% 172.64/26.98  | | | | | 
% 172.64/26.98  | | | | | REDUCE: (20), (110) imply:
% 172.64/26.98  | | | | |   (118)   ~ (all_4_2 = e0)
% 172.64/26.98  | | | | | 
% 172.64/26.98  | | | | | BETA: splitting (6) gives:
% 172.64/26.98  | | | | | 
% 172.64/26.98  | | | | | Case 1:
% 172.64/26.98  | | | | | | 
% 172.64/26.98  | | | | | |   (119)  all_58_19 = e0
% 172.64/26.98  | | | | | | 
% 172.64/26.98  | | | | | | COMBINE_EQS: (39), (119) imply:
% 172.64/26.98  | | | | | |   (120)  all_52_3 = e0
% 172.64/26.98  | | | | | | 
% 172.64/26.98  | | | | | | REDUCE: (81), (120) imply:
% 172.64/26.98  | | | | | |   (121)  $false
% 172.64/26.98  | | | | | | 
% 172.64/26.98  | | | | | | CLOSE: (121) is inconsistent.
% 172.64/26.98  | | | | | | 
% 172.64/26.98  | | | | | Case 2:
% 172.64/26.98  | | | | | | 
% 172.64/26.98  | | | | | |   (122)   ~ (all_58_19 = e0)
% 172.64/26.98  | | | | | |   (123)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.64/26.98  | | | | | | 
% 172.64/26.98  | | | | | | BETA: splitting (23) gives:
% 172.64/26.98  | | | | | | 
% 172.64/26.98  | | | | | | Case 1:
% 172.64/26.98  | | | | | | | 
% 172.64/26.98  | | | | | | |   (124)  all_58_31 = e0
% 172.64/26.98  | | | | | | | 
% 172.64/26.98  | | | | | | | COMBINE_EQS: (25), (124) imply:
% 172.64/26.98  | | | | | | |   (125)  all_14_2 = e0
% 172.64/26.98  | | | | | | | 
% 172.64/26.98  | | | | | | | REDUCE: (117), (125) imply:
% 172.64/26.98  | | | | | | |   (126)  $false
% 172.64/26.98  | | | | | | | 
% 172.64/26.98  | | | | | | | CLOSE: (126) is inconsistent.
% 172.64/26.98  | | | | | | | 
% 172.64/26.98  | | | | | | Case 2:
% 172.64/26.98  | | | | | | | 
% 172.64/26.98  | | | | | | |   (127)   ~ (all_58_31 = e0)
% 172.64/26.98  | | | | | | |   (128)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.64/26.98  | | | | | | | 
% 172.64/26.98  | | | | | | | BETA: splitting (63) gives:
% 172.64/26.98  | | | | | | | 
% 172.64/26.98  | | | | | | | Case 1:
% 172.64/26.98  | | | | | | | | 
% 172.64/26.98  | | | | | | | |   (129)  all_58_23 = e0
% 172.64/26.98  | | | | | | | | 
% 172.64/26.98  | | | | | | | | COMBINE_EQS: (5), (129) imply:
% 172.64/26.98  | | | | | | | |   (130)  all_52_7 = e0
% 172.64/26.98  | | | | | | | | 
% 172.64/26.98  | | | | | | | | REDUCE: (69), (130) imply:
% 172.64/26.98  | | | | | | | |   (131)  $false
% 172.64/26.98  | | | | | | | | 
% 172.64/26.98  | | | | | | | | CLOSE: (131) is inconsistent.
% 172.64/26.98  | | | | | | | | 
% 172.64/26.98  | | | | | | | Case 2:
% 172.64/26.98  | | | | | | | | 
% 172.64/26.98  | | | | | | | |   (132)   ~ (all_58_23 = e0)
% 172.64/26.98  | | | | | | | |   (133)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.64/26.98  | | | | | | | | 
% 172.64/26.98  | | | | | | | | BETA: splitting (89) gives:
% 172.64/26.98  | | | | | | | | 
% 172.64/26.98  | | | | | | | | Case 1:
% 172.64/26.98  | | | | | | | | | 
% 172.64/26.98  | | | | | | | | |   (134)  all_56_12 = e1
% 172.64/26.98  | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | REF_CLOSE: (5), (6), (12), (27), (28), (32), (33), (35), (37),
% 172.64/26.98  | | | | | | | | |            (38), (39), (41), (42), (45), (49), (50), (52),
% 172.64/26.98  | | | | | | | | |            (53), (55), (63), (68), (69), (72), (73), (76),
% 172.64/26.98  | | | | | | | | |            (78), (79), (81), (82), (84), (87), (92), (134) are
% 172.64/26.98  | | | | | | | | |            inconsistent by sub-proof #904.
% 172.64/26.98  | | | | | | | | | 
% 172.64/26.98  | | | | | | | | Case 2:
% 172.64/26.98  | | | | | | | | | 
% 172.64/26.98  | | | | | | | | |   (135)   ~ (all_56_12 = e1)
% 172.64/26.98  | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | REDUCE: (2), (135) imply:
% 172.64/26.98  | | | | | | | | |   (136)   ~ (all_52_3 = e1)
% 172.64/26.98  | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | BETA: splitting (46) gives:
% 172.64/26.98  | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | Case 1:
% 172.64/26.98  | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | |   (137)  all_56_0 = e1
% 172.64/26.98  | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | REF_CLOSE: (4), (8), (16), (21), (24), (25), (27), (32),
% 172.64/26.98  | | | | | | | | | |            (33), (35), (37), (38), (41), (43), (45), (50),
% 172.64/26.98  | | | | | | | | | |            (52), (53), (55), (58), (59), (61), (65), (72),
% 172.64/26.98  | | | | | | | | | |            (73), (76), (78), (79), (87), (91), (92), (97),
% 172.64/26.98  | | | | | | | | | |            (117), (123), (133), (137) are inconsistent by
% 172.64/26.98  | | | | | | | | | |            sub-proof #399.
% 172.64/26.98  | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | Case 2:
% 172.64/26.98  | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | |   (138)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.64/26.98  | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | BETA: splitting (138) gives:
% 172.64/26.98  | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | Case 1:
% 172.64/26.98  | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | |   (139)  all_56_2 = e1
% 172.64/26.98  | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | COMBINE_EQS: (52), (139) imply:
% 172.64/26.98  | | | | | | | | | | |   (140)  all_52_1 = e1
% 172.64/26.98  | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | COMBINE_EQS: (37), (140) imply:
% 172.64/26.98  | | | | | | | | | | |   (141)  all_58_17 = e1
% 172.64/26.98  | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | BETA: splitting (123) gives:
% 172.64/26.98  | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | Case 1:
% 172.64/26.98  | | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | |   (142)  all_58_18 = e1
% 172.64/26.98  | | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | | REF_CLOSE: (27), (84), (142) are inconsistent by sub-proof
% 172.64/26.98  | | | | | | | | | | | |            #888.
% 172.64/26.98  | | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | Case 2:
% 172.64/26.98  | | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | |   (143)  all_58_16 = e3 | all_58_17 = e2
% 172.64/26.98  | | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | | BETA: splitting (143) gives:
% 172.64/26.98  | | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | | Case 1:
% 172.64/26.98  | | | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | | |   (144)  all_58_17 = e2
% 172.64/26.98  | | | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | | | REF_CLOSE: (42), (141), (144) are inconsistent by sub-proof
% 172.64/26.98  | | | | | | | | | | | | |            #466.
% 172.64/26.98  | | | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | | Case 2:
% 172.64/26.98  | | | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | | |   (145)  all_58_16 = e3
% 172.64/26.98  | | | | | | | | | | | | |   (146)   ~ (all_58_17 = e2)
% 172.64/26.98  | | | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | | | COMBINE_EQS: (50), (145) imply:
% 172.64/26.98  | | | | | | | | | | | | |   (147)  all_6_2 = e3
% 172.64/26.98  | | | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | | | REDUCE: (141), (146) imply:
% 172.64/26.98  | | | | | | | | | | | | |   (148)   ~ (e2 = e1)
% 172.64/26.98  | | | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | | | REDUCE: (11), (147) imply:
% 172.64/26.98  | | | | | | | | | | | | |   (149)   ~ (all_52_12 = e3)
% 172.64/26.98  | | | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | | | BETA: splitting (128) gives:
% 172.64/26.98  | | | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | | | Case 1:
% 172.64/26.98  | | | | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | | | |   (150)  all_58_30 = e1
% 172.64/26.98  | | | | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | | | | COMBINE_EQS: (34), (150) imply:
% 172.64/26.98  | | | | | | | | | | | | | |   (151)  all_52_14 = e1
% 172.64/26.98  | | | | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | | | | REDUCE: (74), (151) imply:
% 172.64/26.98  | | | | | | | | | | | | | |   (152)   ~ (all_14_2 = e1)
% 172.64/26.98  | | | | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | | | | SIMP: (152) implies:
% 172.64/26.98  | | | | | | | | | | | | | |   (153)   ~ (all_14_2 = e1)
% 172.64/26.98  | | | | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (6), (7), (8), (11), (12), (13), (14),
% 172.64/26.98  | | | | | | | | | | | | | |            (15), (16), (17), (19), (21), (22), (23), (25),
% 172.64/26.98  | | | | | | | | | | | | | |            (27), (28), (29), (30), (31), (32), (33), (34),
% 172.64/26.98  | | | | | | | | | | | | | |            (35), (36), (37), (38), (39), (40), (41), (42),
% 172.64/26.98  | | | | | | | | | | | | | |            (45), (47), (49), (50), (51), (52), (53), (55),
% 172.64/26.98  | | | | | | | | | | | | | |            (56), (57), (58), (59), (63), (64), (65), (66),
% 172.64/26.98  | | | | | | | | | | | | | |            (67), (68), (69), (70), (72), (73), (75), (76),
% 172.64/26.98  | | | | | | | | | | | | | |            (77), (78), (79), (81), (82), (83), (84), (85),
% 172.64/26.98  | | | | | | | | | | | | | |            (86), (87), (88), (89), (90), (92), (97), (100),
% 172.64/26.98  | | | | | | | | | | | | | |            (111), (112), (113), (115), (117), (153) are
% 172.64/26.98  | | | | | | | | | | | | | |            inconsistent by sub-proof #874.
% 172.64/26.98  | | | | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | | | Case 2:
% 172.64/26.98  | | | | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | | | |   (154)  all_58_28 = e3 | all_58_29 = e2
% 172.64/26.98  | | | | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | | | | REF_CLOSE: (82), (83), (111), (149), (154) are inconsistent
% 172.64/26.98  | | | | | | | | | | | | | |            by sub-proof #869.
% 172.64/26.98  | | | | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | | | End of split
% 172.64/26.98  | | | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | | End of split
% 172.64/26.98  | | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | End of split
% 172.64/26.98  | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | Case 2:
% 172.64/26.98  | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | |   (155)  all_56_6 = e1 | all_56_12 = e1
% 172.64/26.98  | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | | REF_CLOSE: (2), (68), (84), (136), (155) are inconsistent by
% 172.64/26.98  | | | | | | | | | | |            sub-proof #933.
% 172.64/26.98  | | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | | End of split
% 172.64/26.98  | | | | | | | | | | 
% 172.64/26.98  | | | | | | | | | End of split
% 172.64/26.98  | | | | | | | | | 
% 172.64/26.98  | | | | | | | | End of split
% 172.64/26.98  | | | | | | | | 
% 172.64/26.98  | | | | | | | End of split
% 172.64/26.98  | | | | | | | 
% 172.64/26.98  | | | | | | End of split
% 172.64/26.98  | | | | | | 
% 172.64/26.98  | | | | | End of split
% 172.64/26.98  | | | | | 
% 172.64/26.98  | | | | End of split
% 172.64/26.98  | | | | 
% 172.64/26.98  | | | End of split
% 172.64/26.98  | | | 
% 172.64/26.98  | | End of split
% 172.64/26.98  | | 
% 172.64/26.98  | End of split
% 172.64/26.98  | 
% 172.64/26.98  End of proof
% 172.64/26.98  
% 172.64/26.98  Sub-proof #399 shows that the following formulas are inconsistent:
% 172.64/26.98  ----------------------------------------------------------------
% 172.64/26.98    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.64/26.98    (2)   ~ (e3 = e1)
% 172.64/26.98    (3)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.64/26.98    (4)  all_56_5 = all_52_9
% 172.64/26.98    (5)  all_56_0 = e1
% 172.64/26.98    (6)   ~ (all_14_2 = e0)
% 172.64/26.98    (7)   ~ (all_52_9 = all_4_2)
% 172.64/26.98    (8)  all_56_8 = all_10_2
% 172.64/26.98    (9)  all_56_14 = e0
% 172.64/26.98    (10)  all_58_26 = all_10_2
% 172.64/26.98    (11)  all_58_31 = all_14_2
% 172.64/26.98    (12)  all_58_18 = e0
% 172.64/26.98    (13)   ~ (all_4_1 = e0)
% 172.64/26.98    (14)  all_56_0 = all_6_2
% 172.64/26.98    (15)  op(all_4_2, e2) = all_4_1
% 172.64/26.98    (16)  all_58_17 = all_52_1
% 172.64/26.98    (17)  all_58_20 = e0
% 172.64/26.98    (18)   ~ (e3 = e2)
% 172.64/26.98    (19)   ~ (all_52_6 = all_10_2)
% 172.64/26.98    (20)   ~ (all_52_1 = all_4_2)
% 172.64/26.98    (21)  all_58_16 = all_6_2
% 172.64/26.98    (22)  all_56_2 = all_52_1
% 172.64/26.98    (23)   ~ (e3 = e0)
% 172.64/26.98    (24)  op(e3, e2) = e0
% 172.64/26.98    (25)   ~ (all_6_2 = e0)
% 172.64/26.98    (26)  all_56_4 = all_52_8
% 172.64/26.98    (27)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.64/26.98    (28)   ~ (all_52_8 = all_6_2)
% 172.64/26.98    (29)  all_58_22 = all_52_6
% 172.64/26.98    (30)  all_56_3 = all_4_2
% 172.64/26.98    (31)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/26.98            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/26.98    (32)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 172.64/26.98    (33)  all_58_21 = all_4_2
% 172.64/26.98    (34)  all_54_5 = all_4_2
% 172.64/26.98    (35)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.64/26.98          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.64/26.98          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/26.98          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/26.98          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/26.98          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/26.98          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/26.98          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.64/26.98          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.64/26.98          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.64/26.98            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.64/26.98            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.64/26.98            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.64/26.98            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.64/26.98            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.64/26.98            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.64/26.98            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.64/26.98            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.64/26.98            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/26.98            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.64/26.98            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.64/26.98            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/26.98            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.64/26.98            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.64/26.98            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.64/26.98            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.64/26.98          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.64/26.98          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/26.98          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.64/26.98            all_58_30 = e0 & e1 = e0)
% 172.64/26.98    (36)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.64/26.98  
% 172.64/26.98  Begin of proof
% 172.64/26.98  | 
% 172.64/26.98  | COMBINE_EQS: (5), (14) imply:
% 172.64/26.98  |   (37)  all_6_2 = e1
% 172.64/26.98  | 
% 172.64/26.98  | COMBINE_EQS: (21), (37) imply:
% 172.64/26.98  |   (38)  all_58_16 = e1
% 172.64/26.98  | 
% 172.64/26.98  | REDUCE: (28), (37) imply:
% 172.64/26.98  |   (39)   ~ (all_52_8 = e1)
% 172.64/26.98  | 
% 172.64/26.98  | REDUCE: (25), (37) imply:
% 172.64/26.98  |   (40)   ~ (e1 = e0)
% 172.64/26.98  | 
% 172.64/26.98  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 172.64/26.98  |            (15), (16), (17), (18), (19), (20), (22), (23), (24), (26), (27),
% 172.64/26.98  |            (29), (30), (31), (32), (33), (34), (35), (36), (38), (39), (40)
% 172.64/26.98  |            are inconsistent by sub-proof #435.
% 172.64/26.98  | 
% 172.64/26.98  End of proof
% 172.64/26.98  
% 172.64/26.98  Sub-proof #400 shows that the following formulas are inconsistent:
% 172.64/26.98  ----------------------------------------------------------------
% 172.64/26.98    (1)  op(e0, e0) = all_14_2
% 172.64/26.98    (2)  all_56_15 = all_14_2
% 172.64/26.98    (3)  all_56_15 = e0
% 172.64/26.98    (4)  op(all_14_2, e0) = all_14_1
% 172.64/26.98    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/26.98           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/26.98    (6)  op(e0, all_14_2) = all_58_15
% 172.64/26.98    (7)   ~ (e1 = e0)
% 172.64/26.98    (8)  op(all_14_1, all_14_2) = e1
% 172.64/26.98  
% 172.64/26.98  Begin of proof
% 172.64/26.98  | 
% 172.64/26.98  | COMBINE_EQS: (2), (3) imply:
% 172.64/26.98  |   (9)  all_14_2 = e0
% 172.64/26.98  | 
% 172.64/26.98  | SIMP: (9) implies:
% 172.64/26.98  |   (10)  all_14_2 = e0
% 172.64/26.98  | 
% 172.64/26.98  | REDUCE: (8), (10) imply:
% 172.64/26.98  |   (11)  op(all_14_1, e0) = e1
% 172.64/26.98  | 
% 172.64/26.98  | REDUCE: (4), (10) imply:
% 172.64/26.98  |   (12)  op(e0, e0) = all_14_1
% 172.64/26.98  | 
% 172.64/26.98  | REDUCE: (6), (10) imply:
% 172.64/26.98  |   (13)  op(e0, e0) = all_58_15
% 172.64/26.98  | 
% 172.64/26.98  | REDUCE: (1), (10) imply:
% 172.64/26.98  |   (14)  op(e0, e0) = e0
% 172.64/26.98  | 
% 172.64/26.98  | GROUND_INST: instantiating (5) with all_14_1, all_58_15, e0, e0, simplifying
% 172.64/26.98  |              with (12), (13) gives:
% 172.64/26.98  |   (15)  all_58_15 = all_14_1
% 172.64/26.98  | 
% 172.64/26.98  | GROUND_INST: instantiating (5) with e0, all_58_15, e0, e0, simplifying with
% 172.64/26.98  |              (13), (14) gives:
% 172.64/26.98  |   (16)  all_58_15 = e0
% 172.64/26.98  | 
% 172.64/26.98  | COMBINE_EQS: (15), (16) imply:
% 172.64/26.98  |   (17)  all_14_1 = e0
% 172.64/26.98  | 
% 172.64/26.98  | SIMP: (17) implies:
% 172.64/26.98  |   (18)  all_14_1 = e0
% 172.64/26.98  | 
% 172.64/26.98  | REDUCE: (11), (18) imply:
% 172.64/26.98  |   (19)  op(e0, e0) = e1
% 172.64/26.98  | 
% 172.64/26.98  | GROUND_INST: instantiating (5) with e0, e1, e0, e0, simplifying with (14),
% 172.64/26.98  |              (19) gives:
% 172.64/26.98  |   (20)  e1 = e0
% 172.64/26.98  | 
% 172.64/26.98  | REDUCE: (7), (20) imply:
% 172.64/26.98  |   (21)  $false
% 172.64/26.98  | 
% 172.64/26.98  | CLOSE: (21) is inconsistent.
% 172.64/26.98  | 
% 172.64/26.98  End of proof
% 172.64/26.98  
% 172.64/26.98  Sub-proof #401 shows that the following formulas are inconsistent:
% 172.64/26.98  ----------------------------------------------------------------
% 172.64/26.98    (1)   ~ (all_52_12 = all_14_2)
% 172.64/26.98    (2)  op(e0, e0) = all_14_2
% 172.64/26.98    (3)  all_56_1 = all_52_4
% 172.64/26.98    (4)  all_56_12 = all_52_3
% 172.64/26.98    (5)  all_56_15 = e0 | ((all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 172.64/26.98           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0))
% 172.64/26.98    (6)  op(e1, all_52_14) = all_58_11
% 172.64/26.98    (7)   ~ (all_10_2 = e0)
% 172.64/26.98    (8)   ~ (all_52_8 = all_52_12)
% 172.64/26.98    (9)   ~ (e3 = e1)
% 172.64/26.98    (10)  all_58_23 = all_52_7
% 172.64/26.98    (11)   ~ (all_52_2 = all_6_2)
% 172.64/26.98    (12)   ~ (all_52_4 = all_4_2)
% 172.64/26.98    (13)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.64/26.98    (14)  all_54_3 = all_52_12
% 172.64/26.98    (15)  all_56_5 = all_52_9
% 172.64/26.98    (16)   ~ (all_52_3 = all_52_11)
% 172.64/26.98    (17)  op(all_6_2, e3) = all_6_1
% 172.64/26.98    (18)   ~ (all_52_12 = all_6_2)
% 172.64/26.98    (19)  op(e2, e0) = all_52_13
% 172.64/26.98    (20)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 172.64/26.98    (21)   ~ (all_52_6 = all_4_2)
% 172.64/26.98    (22)  op(e3, all_6_2) = all_58_0
% 172.64/26.98    (23)  op(e1, e0) = all_52_14
% 172.64/26.98    (24)  all_56_15 = all_14_2
% 172.64/26.98    (25)  all_54_1 = all_52_4
% 172.64/26.98    (26)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 172.64/26.98    (27)   ~ (all_52_9 = all_4_2)
% 172.64/26.98    (28)   ~ (all_52_3 = all_52_7)
% 172.64/26.98    (29)  all_54_6 = all_52_9
% 172.64/26.98    (30)  all_56_14 = all_52_11
% 172.64/26.98    (31)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 172.64/26.98    (32)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 172.64/26.99    (33)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.64/26.99    (34)  all_56_8 = all_10_2
% 172.64/26.99    (35)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.64/26.99    (36)  all_58_26 = all_10_2
% 172.64/26.99    (37)   ~ (all_52_4 = all_52_6)
% 172.64/26.99    (38)  all_58_31 = all_14_2
% 172.64/26.99    (39)   ~ (all_52_11 = all_10_2)
% 172.64/26.99    (40)   ~ (all_52_9 = all_52_13)
% 172.64/26.99    (41)   ~ (all_52_3 = all_6_2)
% 172.64/26.99    (42)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.64/26.99    (43)   ~ (all_52_1 = all_6_2)
% 172.64/26.99    (44)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 172.64/26.99    (45)  all_54_2 = all_52_8
% 172.64/26.99    (46)  all_56_11 = all_52_14
% 172.64/26.99    (47)   ~ (all_52_6 = all_52_7)
% 172.64/26.99    (48)  all_56_0 = all_6_2
% 172.64/26.99    (49)   ~ (all_52_9 = all_10_2)
% 172.64/26.99    (50)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.64/26.99    (51)  all_58_30 = all_52_14
% 172.64/26.99    (52)  all_58_27 = all_52_11
% 172.64/26.99    (53)  all_54_14 = all_52_11
% 172.64/26.99    (54)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 172.64/26.99    (55)  all_58_17 = all_52_1
% 172.64/26.99    (56)  all_58_19 = all_52_3
% 172.64/26.99    (57)  all_56_9 = all_52_12
% 172.64/26.99    (58)   ~ (all_52_2 = all_52_6)
% 172.64/26.99    (59)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 172.64/26.99    (60)  op(all_14_2, e0) = e1
% 172.64/26.99    (61)   ~ (e3 = e2)
% 172.64/26.99    (62)   ~ (all_52_4 = all_52_7)
% 172.64/26.99    (63)   ~ (e2 = e1)
% 172.64/26.99    (64)   ~ (all_52_6 = all_10_2)
% 172.64/26.99    (65)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 172.64/26.99    (66)  op(e0, all_52_11) = all_58_14
% 172.64/26.99    (67)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.64/26.99    (68)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 172.64/26.99    (69)   ~ (all_52_13 = all_14_2)
% 172.64/26.99    (70)   ~ (all_52_1 = all_4_2)
% 172.64/26.99    (71)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.64/26.99    (72)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.64/26.99    (73)  all_54_9 = all_52_6
% 172.64/26.99    (74)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.64/26.99    (75)   ~ (all_52_13 = all_52_14)
% 172.64/26.99    (76)  all_58_18 = all_52_2
% 172.64/26.99    (77)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.64/26.99    (78)  all_58_16 = all_6_2
% 172.64/26.99    (79)  all_56_13 = all_52_7
% 172.64/26.99    (80)  op(e0, e3) = all_52_3
% 172.64/26.99    (81)  op(e0, all_52_7) = all_58_13
% 172.64/26.99    (82)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 172.64/26.99    (83)   ~ (all_52_8 = all_52_9)
% 172.64/26.99    (84)   ~ (all_52_4 = all_6_2)
% 172.64/26.99    (85)  all_56_2 = all_52_1
% 172.64/26.99    (86)   ~ (e3 = e0)
% 172.64/26.99    (87)  op(e3, e0) = all_52_12
% 172.64/26.99    (88)  all_58_29 = all_52_13
% 172.64/26.99    (89)   ~ (all_52_1 = all_52_2)
% 172.64/26.99    (90)   ~ (all_4_2 = e0)
% 172.64/26.99    (91)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.64/26.99    (92)  all_6_2 = e0
% 172.64/26.99    (93)   ~ (all_52_6 = all_52_14)
% 172.64/26.99    (94)   ~ (all_52_7 = all_4_2)
% 172.64/26.99    (95)   ~ (all_52_8 = all_10_2)
% 172.64/26.99    (96)  all_56_4 = all_52_8
% 172.64/26.99    (97)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.64/26.99    (98)   ~ (all_52_1 = all_52_13)
% 172.64/26.99    (99)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.64/26.99    (100)  all_58_20 = all_52_4
% 172.64/26.99    (101)  all_54_15 = all_14_2
% 172.64/26.99    (102)   ~ (all_52_7 = all_52_11)
% 172.64/26.99    (103)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 172.64/26.99    (104)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 172.64/26.99    (105)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.64/26.99    (106)   ~ (all_52_8 = all_52_11)
% 172.64/26.99    (107)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 172.64/26.99    (108)   ~ (all_52_8 = all_6_2)
% 172.64/26.99    (109)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 172.64/26.99    (110)  all_56_6 = all_52_2
% 172.64/26.99    (111)   ~ (all_52_1 = all_52_9)
% 172.64/26.99    (112)  all_58_24 = all_52_8
% 172.64/26.99    (113)   ~ (all_52_12 = all_52_14)
% 172.64/26.99    (114)   ~ (all_52_9 = all_52_11)
% 172.64/26.99    (115)  all_58_22 = all_52_6
% 172.64/26.99    (116)   ~ (all_52_4 = all_52_12)
% 172.64/26.99    (117)  all_56_3 = all_4_2
% 172.64/26.99    (118)   ~ (all_52_14 = all_10_2)
% 172.64/26.99    (119)   ~ (all_52_2 = all_52_3)
% 172.64/26.99    (120)   ~ (all_52_4 = all_52_8)
% 172.64/26.99    (121)   ~ (all_52_14 = all_14_2)
% 172.64/26.99    (122)  all_58_25 = all_52_9
% 172.64/26.99    (123)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 172.64/26.99    (124)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/26.99             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/26.99    (125)   ~ (all_52_2 = all_52_14)
% 172.64/26.99    (126)  op(e0, all_14_2) = all_58_15
% 172.64/26.99    (127)  all_58_21 = all_4_2
% 172.64/26.99    (128)  all_56_10 = all_52_13
% 172.64/26.99    (129)  op(e2, all_52_9) = all_58_6
% 172.64/26.99    (130)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.64/26.99    (131)   ~ (e2 = e0)
% 172.64/26.99    (132)   ~ (all_52_1 = all_52_3)
% 172.64/26.99    (133)  all_58_28 = all_52_12
% 172.64/26.99    (134)  op(e1, all_52_6) = all_58_9
% 172.64/26.99    (135)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.64/26.99    (136)   ~ (e1 = e0)
% 172.64/26.99    (137)  all_54_4 = all_52_1
% 172.64/26.99    (138)  all_56_7 = all_52_6
% 172.64/26.99    (139)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.64/26.99             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.64/26.99             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.64/26.99             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.64/26.99             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.64/26.99             (all_58_15 = e0))
% 172.64/26.99    (140)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 172.64/26.99    (141)  all_54_5 = all_4_2
% 172.64/26.99    (142)  op(e2, all_52_13) = all_58_7
% 172.64/26.99    (143)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.64/26.99           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.64/26.99           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/26.99           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/26.99           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/26.99           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/26.99           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/26.99           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.64/26.99           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.64/26.99           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.64/26.99             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.64/26.99             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.64/26.99             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.64/26.99             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.64/26.99             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.64/26.99             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.64/26.99             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.64/26.99             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.64/26.99             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/26.99             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.64/26.99             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.64/26.99             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/26.99             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.64/26.99             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.64/26.99             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.64/26.99             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.64/26.99           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.64/26.99           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/26.99           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.64/26.99             all_58_30 = e0 & e1 = e0)
% 172.64/26.99    (144)  all_54_7 = all_52_13
% 172.64/26.99    (145)   ~ (all_52_2 = all_10_2)
% 172.64/26.99    (146)  all_54_11 = all_52_14
% 172.64/26.99    (147)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.64/26.99    (148)   ~ (all_52_12 = all_52_13)
% 172.64/26.99  
% 172.64/26.99  Begin of proof
% 172.64/26.99  | 
% 172.64/26.99  | COMBINE_EQS: (48), (92) imply:
% 172.64/26.99  |   (149)  all_56_0 = e0
% 172.64/26.99  | 
% 172.64/26.99  | COMBINE_EQS: (78), (92) imply:
% 172.64/26.99  |   (150)  all_58_16 = e0
% 172.64/26.99  | 
% 172.64/26.99  | REDUCE: (43), (92) imply:
% 172.64/26.99  |   (151)   ~ (all_52_1 = e0)
% 172.64/26.99  | 
% 172.64/26.99  | REDUCE: (11), (92) imply:
% 172.64/26.99  |   (152)   ~ (all_52_2 = e0)
% 172.64/26.99  | 
% 172.64/26.99  | REDUCE: (41), (92) imply:
% 172.64/26.99  |   (153)   ~ (all_52_3 = e0)
% 172.64/26.99  | 
% 172.64/26.99  | REDUCE: (84), (92) imply:
% 172.64/26.99  |   (154)   ~ (all_52_4 = e0)
% 172.64/26.99  | 
% 172.64/26.99  | REDUCE: (92), (108) imply:
% 172.64/26.99  |   (155)   ~ (all_52_8 = e0)
% 172.64/26.99  | 
% 172.64/26.99  | REDUCE: (18), (92) imply:
% 172.64/26.99  |   (156)   ~ (all_52_12 = e0)
% 172.64/26.99  | 
% 172.64/26.99  | REDUCE: (17), (92) imply:
% 172.64/26.99  |   (157)  op(e0, e3) = all_6_1
% 172.64/26.99  | 
% 172.64/26.99  | REDUCE: (22), (92) imply:
% 172.64/26.99  |   (158)  op(e3, e0) = all_58_0
% 172.64/26.99  | 
% 172.64/26.99  | GROUND_INST: instantiating (124) with all_52_3, all_6_1, e3, e0, simplifying
% 172.64/26.99  |              with (80), (157) gives:
% 172.64/26.99  |   (159)  all_52_3 = all_6_1
% 172.64/26.99  | 
% 172.64/26.99  | GROUND_INST: instantiating (124) with all_52_12, all_58_0, e0, e3, simplifying
% 172.64/26.99  |              with (87), (158) gives:
% 172.64/26.99  |   (160)  all_58_0 = all_52_12
% 172.64/26.99  | 
% 172.64/26.99  | COMBINE_EQS: (4), (159) imply:
% 172.64/26.99  |   (161)  all_56_12 = all_6_1
% 172.64/26.99  | 
% 172.64/26.99  | COMBINE_EQS: (56), (159) imply:
% 172.64/26.99  |   (162)  all_58_19 = all_6_1
% 172.64/26.99  | 
% 172.64/26.99  | REDUCE: (132), (159) imply:
% 172.64/26.99  |   (163)   ~ (all_52_1 = all_6_1)
% 172.64/26.99  | 
% 172.64/26.99  | REDUCE: (119), (159) imply:
% 172.64/26.99  |   (164)   ~ (all_52_2 = all_6_1)
% 172.64/26.99  | 
% 172.64/26.99  | REDUCE: (28), (159) imply:
% 172.64/26.99  |   (165)   ~ (all_52_7 = all_6_1)
% 172.64/26.99  | 
% 172.64/26.99  | SIMP: (165) implies:
% 172.64/26.99  |   (166)   ~ (all_52_7 = all_6_1)
% 172.64/26.99  | 
% 172.64/26.99  | REDUCE: (16), (159) imply:
% 172.64/26.99  |   (167)   ~ (all_52_11 = all_6_1)
% 172.64/26.99  | 
% 172.64/26.99  | SIMP: (167) implies:
% 172.64/26.99  |   (168)   ~ (all_52_11 = all_6_1)
% 172.64/26.99  | 
% 172.64/26.99  | REDUCE: (153), (159) imply:
% 172.64/26.99  |   (169)   ~ (all_6_1 = e0)
% 172.64/26.99  | 
% 172.64/26.99  | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (12), (13), (14),
% 172.64/26.99  |            (15), (19), (20), (21), (23), (24), (25), (26), (27), (29), (30),
% 172.64/26.99  |            (31), (32), (33), (34), (35), (36), (37), (38), (39), (40), (42),
% 172.64/26.99  |            (44), (45), (46), (47), (49), (50), (51), (52), (53), (54), (55),
% 172.64/26.99  |            (57), (58), (59), (60), (61), (62), (63), (64), (65), (66), (67),
% 172.64/26.99  |            (68), (69), (70), (71), (72), (73), (74), (75), (76), (77), (79),
% 172.64/26.99  |            (81), (82), (83), (85), (86), (88), (89), (90), (91), (93), (94),
% 172.64/26.99  |            (95), (96), (97), (98), (99), (100), (101), (102), (103), (104),
% 172.64/26.99  |            (105), (106), (107), (109), (110), (111), (112), (113), (114),
% 172.64/26.99  |            (115), (116), (117), (118), (120), (121), (122), (123), (124),
% 172.64/26.99  |            (125), (126), (127), (128), (129), (130), (131), (133), (134),
% 172.64/26.99  |            (135), (136), (137), (138), (139), (140), (141), (142), (143),
% 172.64/26.99  |            (144), (145), (146), (147), (148), (149), (150), (151), (152),
% 172.64/26.99  |            (154), (155), (156), (160), (161), (162), (163), (164), (166),
% 172.64/26.99  |            (168), (169) are inconsistent by sub-proof #402.
% 172.64/26.99  | 
% 172.64/26.99  End of proof
% 172.64/26.99  
% 172.64/26.99  Sub-proof #402 shows that the following formulas are inconsistent:
% 172.64/26.99  ----------------------------------------------------------------
% 172.64/26.99    (1)   ~ (all_52_12 = all_14_2)
% 172.64/26.99    (2)  op(e0, e0) = all_14_2
% 172.64/26.99    (3)  all_56_1 = all_52_4
% 172.64/26.99    (4)  all_56_15 = e0 | ((all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 172.64/26.99           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0))
% 172.64/26.99    (5)  op(e1, all_52_14) = all_58_11
% 172.64/26.99    (6)   ~ (all_10_2 = e0)
% 172.64/26.99    (7)   ~ (all_52_8 = all_52_12)
% 172.64/26.99    (8)   ~ (e3 = e1)
% 172.64/26.99    (9)  all_58_23 = all_52_7
% 172.64/26.99    (10)   ~ (all_52_4 = all_4_2)
% 172.64/26.99    (11)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.64/26.99    (12)  all_54_3 = all_52_12
% 172.64/26.99    (13)  all_56_5 = all_52_9
% 172.64/26.99    (14)  op(e2, e0) = all_52_13
% 172.64/26.99    (15)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 172.64/26.99    (16)   ~ (all_52_6 = all_4_2)
% 172.64/26.99    (17)   ~ (all_52_7 = all_6_1)
% 172.64/26.99    (18)   ~ (all_52_2 = all_6_1)
% 172.64/26.99    (19)  op(e1, e0) = all_52_14
% 172.64/26.99    (20)  all_56_15 = all_14_2
% 172.64/26.99    (21)  all_58_19 = all_6_1
% 172.64/26.99    (22)  all_54_1 = all_52_4
% 172.64/26.99    (23)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 172.64/26.99    (24)   ~ (all_52_9 = all_4_2)
% 172.64/26.99    (25)   ~ (all_52_1 = all_6_1)
% 172.64/26.99    (26)  all_54_6 = all_52_9
% 172.64/26.99    (27)  all_56_14 = all_52_11
% 172.64/26.99    (28)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 172.64/26.99    (29)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 172.64/26.99    (30)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.64/26.99    (31)  all_56_8 = all_10_2
% 172.64/26.99    (32)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.64/26.99    (33)  all_58_26 = all_10_2
% 172.64/26.99    (34)   ~ (all_52_4 = all_52_6)
% 172.64/26.99    (35)  all_58_31 = all_14_2
% 172.64/26.99    (36)   ~ (all_52_11 = all_10_2)
% 172.64/26.99    (37)   ~ (all_52_9 = all_52_13)
% 172.64/26.99    (38)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.64/26.99    (39)   ~ (all_52_4 = e0)
% 172.64/26.99    (40)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 172.64/26.99    (41)  all_54_2 = all_52_8
% 172.64/26.99    (42)  all_56_11 = all_52_14
% 172.64/26.99    (43)   ~ (all_52_6 = all_52_7)
% 172.64/26.99    (44)   ~ (all_52_9 = all_10_2)
% 172.64/26.99    (45)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.64/26.99    (46)  all_58_30 = all_52_14
% 172.64/26.99    (47)  all_58_27 = all_52_11
% 172.64/26.99    (48)  all_54_14 = all_52_11
% 172.64/26.99    (49)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 172.64/26.99    (50)  all_58_17 = all_52_1
% 172.64/26.99    (51)  all_56_9 = all_52_12
% 172.64/26.99    (52)   ~ (all_52_2 = all_52_6)
% 172.64/26.99    (53)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 172.64/26.99    (54)  op(all_14_2, e0) = e1
% 172.64/26.99    (55)   ~ (e3 = e2)
% 172.64/26.99    (56)   ~ (all_52_11 = all_6_1)
% 172.64/26.99    (57)   ~ (all_52_4 = all_52_7)
% 172.64/26.99    (58)  all_58_0 = all_52_12
% 172.64/26.99    (59)   ~ (e2 = e1)
% 172.64/26.99    (60)   ~ (all_52_6 = all_10_2)
% 172.64/26.99    (61)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 172.64/26.99    (62)  op(e0, all_52_11) = all_58_14
% 172.64/26.99    (63)   ~ (all_52_2 = e0)
% 172.64/26.99    (64)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.64/26.99    (65)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 172.64/26.99    (66)   ~ (all_52_13 = all_14_2)
% 172.64/26.99    (67)   ~ (all_52_1 = all_4_2)
% 172.64/26.99    (68)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.64/26.99    (69)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.64/26.99    (70)  all_54_9 = all_52_6
% 172.64/26.99    (71)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.64/26.99    (72)   ~ (all_52_13 = all_52_14)
% 172.64/26.99    (73)  all_58_18 = all_52_2
% 172.64/26.99    (74)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.64/26.99    (75)  all_58_16 = e0
% 172.64/26.99    (76)  all_56_13 = all_52_7
% 172.64/26.99    (77)   ~ (all_52_12 = e0)
% 172.64/26.99    (78)  op(e0, all_52_7) = all_58_13
% 172.64/26.99    (79)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 172.64/26.99    (80)   ~ (all_52_8 = all_52_9)
% 172.64/26.99    (81)  all_56_2 = all_52_1
% 172.64/26.99    (82)   ~ (e3 = e0)
% 172.64/26.99    (83)  all_58_29 = all_52_13
% 172.64/26.99    (84)   ~ (all_52_1 = all_52_2)
% 172.64/26.99    (85)   ~ (all_4_2 = e0)
% 172.64/26.99    (86)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 172.64/26.99    (87)   ~ (all_52_6 = all_52_14)
% 172.64/26.99    (88)   ~ (all_52_7 = all_4_2)
% 172.64/26.99    (89)   ~ (all_52_8 = all_10_2)
% 172.64/26.99    (90)  all_56_4 = all_52_8
% 172.64/26.99    (91)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 172.64/26.99    (92)   ~ (all_52_1 = all_52_13)
% 172.64/26.99    (93)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.64/26.99    (94)  all_58_20 = all_52_4
% 172.64/26.99    (95)  all_54_15 = all_14_2
% 172.64/26.99    (96)   ~ (all_52_7 = all_52_11)
% 172.64/26.99    (97)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 172.64/26.99    (98)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 172.64/26.99    (99)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.64/26.99    (100)   ~ (all_52_8 = all_52_11)
% 172.64/26.99    (101)  all_56_12 = all_6_1
% 172.64/26.99    (102)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 172.64/26.99    (103)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 172.64/26.99    (104)  all_56_6 = all_52_2
% 172.64/26.99    (105)   ~ (all_52_1 = all_52_9)
% 172.64/26.99    (106)  all_58_24 = all_52_8
% 172.64/26.99    (107)   ~ (all_52_12 = all_52_14)
% 172.64/26.99    (108)   ~ (all_52_9 = all_52_11)
% 172.64/26.99    (109)  all_58_22 = all_52_6
% 172.64/26.99    (110)   ~ (all_52_4 = all_52_12)
% 172.64/26.99    (111)  all_56_3 = all_4_2
% 172.64/26.99    (112)   ~ (all_52_14 = all_10_2)
% 172.64/26.99    (113)   ~ (all_52_1 = e0)
% 172.64/26.99    (114)   ~ (all_52_4 = all_52_8)
% 172.64/26.99    (115)   ~ (all_52_14 = all_14_2)
% 172.64/26.99    (116)  all_58_25 = all_52_9
% 172.64/26.99    (117)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 172.64/26.99    (118)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/26.99             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/26.99    (119)   ~ (all_6_1 = e0)
% 172.64/26.99    (120)   ~ (all_52_2 = all_52_14)
% 172.64/26.99    (121)  op(e0, all_14_2) = all_58_15
% 172.64/26.99    (122)  all_58_21 = all_4_2
% 172.64/26.99    (123)  all_56_10 = all_52_13
% 172.64/26.99    (124)  op(e2, all_52_9) = all_58_6
% 172.64/26.99    (125)  all_56_0 = e0
% 172.64/26.99    (126)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 172.64/26.99    (127)   ~ (e2 = e0)
% 172.64/26.99    (128)  all_58_28 = all_52_12
% 172.64/26.99    (129)  op(e1, all_52_6) = all_58_9
% 172.64/26.99    (130)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.64/26.99    (131)   ~ (e1 = e0)
% 172.64/26.99    (132)  all_54_4 = all_52_1
% 172.64/26.99    (133)  all_56_7 = all_52_6
% 172.64/26.99    (134)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 172.64/26.99             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 172.64/26.99             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 172.64/26.99             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 172.64/26.99             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 172.64/26.99             (all_58_15 = e0))
% 172.64/26.99    (135)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 172.64/26.99    (136)   ~ (all_52_8 = e0)
% 172.64/26.99    (137)  all_54_5 = all_4_2
% 172.64/26.99    (138)  op(e2, all_52_13) = all_58_7
% 172.64/26.99    (139)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.64/26.99           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.64/26.99           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/26.99           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/26.99           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/26.99           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/26.99           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/26.99           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.64/26.99           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.64/26.99           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.64/26.99             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.64/26.99             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.64/26.99             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.64/26.99             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.64/26.99             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.64/26.99             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.64/26.99             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.64/26.99             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.64/26.99             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/26.99             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.64/26.99             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.64/26.99             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/26.99             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.64/26.99             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.64/26.99             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.64/26.99             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.64/26.99           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.64/26.99           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/26.99           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.64/26.99             all_58_30 = e0 & e1 = e0)
% 172.64/26.99    (140)  all_54_7 = all_52_13
% 172.64/26.99    (141)   ~ (all_52_2 = all_10_2)
% 172.64/26.99    (142)  all_54_11 = all_52_14
% 172.64/26.99    (143)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 172.64/26.99    (144)   ~ (all_52_12 = all_52_13)
% 172.64/26.99  
% 172.64/26.99  Begin of proof
% 172.64/26.99  | 
% 172.64/26.99  | BETA: splitting (4) gives:
% 172.64/26.99  | 
% 172.64/26.99  | Case 1:
% 172.64/26.99  | | 
% 172.64/26.99  | |   (145)  all_56_15 = e0
% 172.64/26.99  | | 
% 172.64/26.99  | | REF_CLOSE: (2), (20), (54), (118), (121), (131), (145) are inconsistent by
% 172.64/26.99  | |            sub-proof #437.
% 172.64/26.99  | | 
% 172.64/26.99  | Case 2:
% 172.64/26.99  | | 
% 172.64/26.99  | |   (146)   ~ (all_56_15 = e0)
% 172.64/26.99  | |   (147)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) & (all_56_12 = e0
% 172.64/26.99  | |            | all_56_13 = e0 | all_56_14 = e0)
% 172.64/26.99  | | 
% 172.64/26.99  | | ALPHA: (147) implies:
% 172.64/26.99  | |   (148)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 172.64/26.99  | | 
% 172.64/26.99  | | REDUCE: (20), (146) imply:
% 172.64/26.99  | |   (149)   ~ (all_14_2 = e0)
% 172.64/26.99  | | 
% 172.64/26.99  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 172.64/26.99  | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 172.64/26.99  | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 172.64/26.99  | |            (36), (37), (38), (39), (40), (41), (42), (43), (44), (45), (46),
% 172.64/26.99  | |            (47), (48), (49), (50), (51), (52), (53), (55), (56), (57), (58),
% 172.64/26.99  | |            (59), (60), (61), (62), (63), (64), (65), (66), (67), (68), (69),
% 172.64/26.99  | |            (70), (71), (72), (73), (74), (75), (76), (77), (78), (79), (80),
% 172.64/26.99  | |            (81), (82), (83), (84), (85), (86), (87), (88), (89), (90), (91),
% 172.64/26.99  | |            (92), (93), (94), (95), (96), (97), (98), (99), (100), (101),
% 172.64/26.99  | |            (102), (103), (104), (105), (106), (107), (108), (109), (110),
% 172.64/26.99  | |            (111), (112), (113), (114), (115), (116), (117), (118), (119),
% 172.64/26.99  | |            (120), (122), (123), (124), (125), (126), (127), (128), (129),
% 172.64/26.99  | |            (130), (131), (132), (133), (134), (135), (136), (137), (138),
% 172.64/26.99  | |            (139), (140), (141), (142), (143), (144), (148), (149) are
% 172.64/26.99  | |            inconsistent by sub-proof #578.
% 172.64/26.99  | | 
% 172.64/26.99  | End of split
% 172.64/26.99  | 
% 172.64/26.99  End of proof
% 172.64/26.99  
% 172.64/26.99  Sub-proof #403 shows that the following formulas are inconsistent:
% 172.64/26.99  ----------------------------------------------------------------
% 172.64/26.99    (1)  all_54_8 = all_52_2
% 172.64/26.99    (2)  all_56_1 = all_52_4
% 172.64/26.99    (3)  all_56_12 = all_52_3
% 172.64/26.99    (4)   ~ (all_52_8 = all_52_12)
% 172.64/26.99    (5)   ~ (e3 = e1)
% 172.64/26.99    (6)  all_58_23 = all_52_7
% 172.64/26.99    (7)   ~ (all_52_2 = all_6_2)
% 172.64/26.99    (8)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.64/26.99    (9)  all_56_5 = all_52_9
% 172.64/26.99    (10)  op(all_6_2, e3) = all_6_1
% 172.64/27.00    (11)  op(e2, e3) = e0
% 172.64/27.00    (12)  op(e2, e0) = all_52_13
% 172.64/27.00    (13)  all_56_15 = all_14_2
% 172.64/27.00    (14)   ~ (all_14_2 = e0)
% 172.64/27.00    (15)   ~ (all_52_9 = all_4_2)
% 172.64/27.00    (16)  all_54_6 = all_52_9
% 172.64/27.00    (17)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 172.64/27.00    (18)   ~ (all_52_13 = all_4_2)
% 172.64/27.00    (19)  all_56_8 = all_10_2
% 172.64/27.00    (20)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.64/27.00    (21)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 172.64/27.00    (22)   ~ (all_52_9 = e0)
% 172.64/27.00    (23)  all_58_26 = all_10_2
% 172.64/27.00    (24)  all_58_31 = all_14_2
% 172.64/27.00    (25)   ~ (all_52_9 = all_52_13)
% 172.64/27.00    (26)   ~ (all_52_3 = all_6_2)
% 172.64/27.00    (27)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.64/27.00    (28)   ~ (all_52_4 = e0)
% 172.64/27.00    (29)  all_56_9 = e0
% 172.64/27.00    (30)  all_56_11 = all_52_14
% 172.64/27.00    (31)  all_56_0 = all_6_2
% 172.64/27.00    (32)  all_58_30 = all_52_14
% 172.64/27.00    (33)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.64/27.00    (34)  all_58_19 = all_52_3
% 172.64/27.00    (35)  all_58_22 = e0
% 172.64/27.00    (36)  all_56_2 = e0
% 172.64/27.00    (37)  op(all_14_2, e0) = e1
% 172.64/27.00    (38)   ~ (e3 = e2)
% 172.64/27.00    (39)   ~ (e2 = e1)
% 172.64/27.00    (40)   ~ (all_52_2 = e0)
% 172.64/27.00    (41)   ~ (all_52_7 = all_14_2)
% 172.64/27.00    (42)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.64/27.00    (43)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 172.64/27.00    (44)   ~ (all_52_13 = all_14_2)
% 172.64/27.00    (45)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.64/27.00    (46)  all_58_28 = e0
% 172.64/27.00    (47)   ~ (all_52_13 = all_52_14)
% 172.64/27.00    (48)  all_58_18 = all_52_2
% 172.64/27.00    (49)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.64/27.00    (50)  all_58_16 = all_6_2
% 172.64/27.00    (51)  all_56_13 = all_52_7
% 172.64/27.00    (52)   ~ (all_52_8 = all_52_9)
% 172.64/27.00    (53)   ~ (all_52_4 = all_6_2)
% 172.64/27.00    (54)  all_58_29 = all_52_13
% 172.64/27.00    (55)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 172.64/27.00    (56)   ~ (all_52_13 = e0)
% 172.64/27.00    (57)  all_56_7 = e0
% 172.64/27.00    (58)   ~ (all_4_2 = e0)
% 172.64/27.00    (59)   ~ (all_6_2 = e0)
% 172.64/27.00    (60)  all_56_4 = all_52_8
% 172.64/27.00    (61)  all_58_20 = all_52_4
% 172.64/27.00    (62)  all_58_17 = e0
% 172.64/27.00    (63)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 172.64/27.00    (64)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 172.64/27.00    (65)  all_56_6 = all_52_2
% 172.64/27.00    (66)   ~ (all_52_7 = e0)
% 172.64/27.00    (67)  all_56_3 = all_4_2
% 172.64/27.00    (68)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.64/27.00    (69)  all_54_0 = all_6_2
% 172.64/27.00    (70)   ~ (all_52_14 = all_10_2)
% 172.64/27.00    (71)   ~ (all_52_2 = all_52_3)
% 172.64/27.00    (72)   ~ (all_52_4 = all_52_8)
% 172.64/27.00    (73)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/27.00            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/27.00    (74)   ~ (all_6_1 = e0)
% 172.64/27.00    (75)   ~ (all_52_2 = all_52_14)
% 172.64/27.00    (76)  all_58_21 = all_4_2
% 172.64/27.00    (77)  all_56_10 = all_52_13
% 172.64/27.00    (78)   ~ (all_52_3 = e0)
% 172.64/27.00    (79)  op(e2, all_52_9) = all_58_6
% 172.64/27.00    (80)   ~ (e2 = e0)
% 172.64/27.00    (81)  all_58_28 = all_52_12
% 172.64/27.00    (82)   ~ (e1 = e0)
% 172.64/27.00    (83)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 172.64/27.00    (84)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.64/27.00          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.64/27.00          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/27.00          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/27.00          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/27.00          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/27.00          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/27.00          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.64/27.00          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.64/27.00          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.64/27.00            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.64/27.00            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.64/27.00            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.64/27.00            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.64/27.00            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.64/27.00            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.64/27.00            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.64/27.00            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.64/27.00            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/27.00            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.64/27.00            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.64/27.00            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/27.00            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.64/27.00            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.64/27.00            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.64/27.00            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.64/27.00          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.64/27.00          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/27.00          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.64/27.00            all_58_30 = e0 & e1 = e0)
% 172.64/27.00    (85)  all_54_7 = all_52_13
% 172.64/27.00    (86)   ~ (all_52_2 = all_10_2)
% 172.64/27.00    (87)   ~ (all_52_12 = all_52_13)
% 172.64/27.00  
% 172.64/27.00  Begin of proof
% 172.64/27.00  | 
% 172.64/27.00  | BETA: splitting (17) gives:
% 172.64/27.00  | 
% 172.64/27.00  | Case 1:
% 172.64/27.00  | | 
% 172.64/27.00  | |   (88)  all_54_6 = e0
% 172.64/27.00  | | 
% 172.64/27.00  | | REF_CLOSE: (16), (22), (88) are inconsistent by sub-proof #901.
% 172.64/27.00  | | 
% 172.64/27.00  | Case 2:
% 172.64/27.00  | | 
% 172.64/27.00  | |   (89)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 172.64/27.00  | | 
% 172.64/27.00  | | BETA: splitting (43) gives:
% 172.64/27.00  | | 
% 172.64/27.00  | | Case 1:
% 172.64/27.00  | | | 
% 172.64/27.00  | | |   (90)  all_54_7 = e0
% 172.64/27.00  | | | 
% 172.64/27.00  | | | REF_CLOSE: (56), (85), (90) are inconsistent by sub-proof #714.
% 172.64/27.00  | | | 
% 172.64/27.00  | | Case 2:
% 172.64/27.00  | | | 
% 172.64/27.00  | | |   (91)   ~ (all_54_7 = e0)
% 172.64/27.00  | | |   (92)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 172.64/27.00  | | | 
% 172.64/27.00  | | | BETA: splitting (8) gives:
% 172.64/27.00  | | | 
% 172.64/27.00  | | | Case 1:
% 172.64/27.00  | | | | 
% 172.64/27.00  | | | |   (93)  all_58_19 = e0
% 172.64/27.00  | | | | 
% 172.64/27.00  | | | | COMBINE_EQS: (34), (93) imply:
% 172.64/27.00  | | | |   (94)  all_52_3 = e0
% 172.64/27.00  | | | | 
% 172.64/27.00  | | | | REDUCE: (78), (94) imply:
% 172.64/27.00  | | | |   (95)  $false
% 172.64/27.00  | | | | 
% 172.64/27.00  | | | | CLOSE: (95) is inconsistent.
% 172.64/27.00  | | | | 
% 172.64/27.00  | | | Case 2:
% 172.64/27.00  | | | | 
% 172.64/27.00  | | | |   (96)   ~ (all_58_19 = e0)
% 172.64/27.00  | | | |   (97)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.64/27.00  | | | | 
% 172.64/27.00  | | | | BETA: splitting (20) gives:
% 172.64/27.00  | | | | 
% 172.64/27.00  | | | | Case 1:
% 172.64/27.00  | | | | | 
% 172.64/27.00  | | | | |   (98)  all_58_31 = e0
% 172.64/27.00  | | | | | 
% 172.64/27.00  | | | | | COMBINE_EQS: (24), (98) imply:
% 172.64/27.00  | | | | |   (99)  all_14_2 = e0
% 172.64/27.00  | | | | | 
% 172.64/27.00  | | | | | REDUCE: (14), (99) imply:
% 172.64/27.00  | | | | |   (100)  $false
% 172.64/27.00  | | | | | 
% 172.64/27.00  | | | | | CLOSE: (100) is inconsistent.
% 172.64/27.00  | | | | | 
% 172.64/27.00  | | | | Case 2:
% 172.64/27.00  | | | | | 
% 172.64/27.00  | | | | |   (101)   ~ (all_58_31 = e0)
% 172.64/27.00  | | | | |   (102)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.64/27.00  | | | | | 
% 172.64/27.00  | | | | | BETA: splitting (63) gives:
% 172.64/27.00  | | | | | 
% 172.64/27.00  | | | | | Case 1:
% 172.64/27.00  | | | | | | 
% 172.64/27.00  | | | | | |   (103)  all_58_23 = e0
% 172.64/27.00  | | | | | | 
% 172.64/27.00  | | | | | | COMBINE_EQS: (6), (103) imply:
% 172.64/27.00  | | | | | |   (104)  all_52_7 = e0
% 172.64/27.00  | | | | | | 
% 172.64/27.00  | | | | | | REDUCE: (66), (104) imply:
% 172.64/27.00  | | | | | |   (105)  $false
% 172.64/27.00  | | | | | | 
% 172.64/27.00  | | | | | | CLOSE: (105) is inconsistent.
% 172.64/27.00  | | | | | | 
% 172.64/27.00  | | | | | Case 2:
% 172.64/27.00  | | | | | | 
% 172.64/27.00  | | | | | |   (106)   ~ (all_58_23 = e0)
% 172.64/27.00  | | | | | |   (107)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.64/27.00  | | | | | | 
% 172.64/27.00  | | | | | | BETA: splitting (49) gives:
% 172.64/27.00  | | | | | | 
% 172.64/27.00  | | | | | | Case 1:
% 172.64/27.00  | | | | | | | 
% 172.64/27.00  | | | | | | |   (108)  all_56_0 = e2
% 172.64/27.00  | | | | | | | 
% 172.64/27.00  | | | | | | | COMBINE_EQS: (31), (108) imply:
% 172.64/27.00  | | | | | | |   (109)  all_6_2 = e2
% 172.64/27.00  | | | | | | | 
% 172.64/27.00  | | | | | | | COMBINE_EQS: (50), (109) imply:
% 172.64/27.00  | | | | | | |   (110)  all_58_16 = e2
% 172.64/27.00  | | | | | | | 
% 172.64/27.00  | | | | | | | REDUCE: (7), (109) imply:
% 172.64/27.00  | | | | | | |   (111)   ~ (all_52_2 = e2)
% 172.64/27.00  | | | | | | | 
% 172.64/27.00  | | | | | | | REDUCE: (10), (109) imply:
% 172.64/27.00  | | | | | | |   (112)  op(e2, e3) = all_6_1
% 172.64/27.00  | | | | | | | 
% 172.64/27.00  | | | | | | | REF_CLOSE: (2), (4), (5), (9), (11), (14), (15), (16), (18), (23),
% 172.64/27.00  | | | | | | |            (24), (25), (28), (29), (32), (35), (38), (40), (46),
% 172.64/27.00  | | | | | | |            (48), (52), (54), (60), (61), (62), (64), (68), (72),
% 172.64/27.00  | | | | | | |            (73), (74), (75), (76), (79), (80), (81), (84), (85),
% 172.64/27.00  | | | | | | |            (86), (87), (89), (92), (97), (102), (107), (108),
% 172.64/27.00  | | | | | | |            (110), (111), (112) are inconsistent by sub-proof #407.
% 172.64/27.00  | | | | | | | 
% 172.64/27.00  | | | | | | Case 2:
% 172.64/27.00  | | | | | | | 
% 172.64/27.00  | | | | | | |   (113)  all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.64/27.00  | | | | | | | 
% 172.64/27.00  | | | | | | | BETA: splitting (83) gives:
% 172.64/27.00  | | | | | | | 
% 172.64/27.00  | | | | | | | Case 1:
% 172.64/27.00  | | | | | | | | 
% 172.64/27.00  | | | | | | | |   (114)  all_56_12 = e2
% 172.64/27.00  | | | | | | | | 
% 172.64/27.00  | | | | | | | | COMBINE_EQS: (3), (114) imply:
% 172.64/27.00  | | | | | | | |   (115)  all_52_3 = e2
% 172.64/27.00  | | | | | | | | 
% 172.64/27.00  | | | | | | | | SIMP: (115) implies:
% 172.64/27.00  | | | | | | | |   (116)  all_52_3 = e2
% 172.64/27.00  | | | | | | | | 
% 172.64/27.00  | | | | | | | | REDUCE: (71), (116) imply:
% 172.64/27.00  | | | | | | | |   (117)   ~ (all_52_2 = e2)
% 172.64/27.00  | | | | | | | | 
% 172.64/27.00  | | | | | | | | REDUCE: (26), (116) imply:
% 172.64/27.00  | | | | | | | |   (118)   ~ (all_6_2 = e2)
% 172.64/27.00  | | | | | | | | 
% 172.64/27.00  | | | | | | | | SIMP: (118) implies:
% 172.64/27.00  | | | | | | | |   (119)   ~ (all_6_2 = e2)
% 172.64/27.00  | | | | | | | | 
% 172.64/27.00  | | | | | | | | REF_CLOSE: (1), (5), (7), (8), (18), (21), (31), (32), (34),
% 172.64/27.00  | | | | | | | |            (35), (42), (45), (46), (48), (50), (53), (54), (59),
% 172.64/27.00  | | | | | | | |            (61), (62), (69), (75), (76), (78), (80), (82),
% 172.64/27.00  | | | | | | | |            (102), (107), (117), (119) are inconsistent by
% 172.64/27.00  | | | | | | | |            sub-proof #405.
% 172.64/27.00  | | | | | | | | 
% 172.64/27.00  | | | | | | | Case 2:
% 172.64/27.00  | | | | | | | | 
% 172.64/27.00  | | | | | | | |   (120)   ~ (all_56_12 = e2)
% 172.64/27.00  | | | | | | | | 
% 172.64/27.00  | | | | | | | | REDUCE: (3), (120) imply:
% 172.64/27.00  | | | | | | | |   (121)   ~ (all_52_3 = e2)
% 172.64/27.00  | | | | | | | | 
% 172.64/27.00  | | | | | | | | BETA: splitting (113) gives:
% 172.64/27.00  | | | | | | | | 
% 172.64/27.00  | | | | | | | | Case 1:
% 172.64/27.00  | | | | | | | | | 
% 172.64/27.00  | | | | | | | | |   (122)  all_56_2 = e2
% 172.64/27.00  | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | REF_CLOSE: (36), (80), (122) are inconsistent by sub-proof
% 172.64/27.00  | | | | | | | | |            #443.
% 172.64/27.00  | | | | | | | | | 
% 172.64/27.00  | | | | | | | | Case 2:
% 172.64/27.00  | | | | | | | | | 
% 172.64/27.00  | | | | | | | | |   (123)  all_56_6 = e2 | all_56_12 = e2
% 172.64/27.00  | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | BETA: splitting (123) gives:
% 172.64/27.00  | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | Case 1:
% 172.64/27.00  | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | |   (124)  all_56_6 = e2
% 172.64/27.00  | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | COMBINE_EQS: (65), (124) imply:
% 172.64/27.00  | | | | | | | | | |   (125)  all_52_2 = e2
% 172.64/27.00  | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | SIMP: (125) implies:
% 172.64/27.00  | | | | | | | | | |   (126)  all_52_2 = e2
% 172.64/27.00  | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | COMBINE_EQS: (48), (126) imply:
% 172.64/27.00  | | | | | | | | | |   (127)  all_58_18 = e2
% 172.64/27.00  | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | REDUCE: (75), (126) imply:
% 172.64/27.00  | | | | | | | | | |   (128)   ~ (all_52_14 = e2)
% 172.64/27.00  | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | SIMP: (128) implies:
% 172.64/27.00  | | | | | | | | | |   (129)   ~ (all_52_14 = e2)
% 172.64/27.00  | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | REDUCE: (7), (126) imply:
% 172.64/27.00  | | | | | | | | | |   (130)   ~ (all_6_2 = e2)
% 172.64/27.00  | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | SIMP: (130) implies:
% 172.64/27.00  | | | | | | | | | |   (131)   ~ (all_6_2 = e2)
% 172.64/27.00  | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | BETA: splitting (97) gives:
% 172.64/27.00  | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | Case 1:
% 172.64/27.00  | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | |   (132)  all_58_18 = e1
% 172.64/27.00  | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | REF_CLOSE: (39), (127), (132) are inconsistent by sub-proof
% 172.64/27.00  | | | | | | | | | | |            #610.
% 172.64/27.00  | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | Case 2:
% 172.64/27.00  | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | |   (133)  all_58_16 = e3 | all_58_17 = e2
% 172.64/27.00  | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | BETA: splitting (133) gives:
% 172.64/27.00  | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | Case 1:
% 172.64/27.00  | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | |   (134)  all_58_17 = e2
% 172.64/27.00  | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | REF_CLOSE: (62), (80), (134) are inconsistent by sub-proof
% 172.64/27.00  | | | | | | | | | | | |            #981.
% 172.64/27.00  | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | Case 2:
% 172.64/27.00  | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | |   (135)  all_58_16 = e3
% 172.64/27.00  | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | COMBINE_EQS: (50), (135) imply:
% 172.64/27.00  | | | | | | | | | | | |   (136)  all_6_2 = e3
% 172.64/27.00  | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | REDUCE: (53), (136) imply:
% 172.64/27.00  | | | | | | | | | | | |   (137)   ~ (all_52_4 = e3)
% 172.64/27.00  | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | REDUCE: (59), (136) imply:
% 172.64/27.00  | | | | | | | | | | | |   (138)   ~ (e3 = e0)
% 172.64/27.00  | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | BETA: splitting (107) gives:
% 172.64/27.00  | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | Case 1:
% 172.64/27.00  | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | |   (139)  all_58_22 = e1
% 172.64/27.00  | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | REF_CLOSE: (35), (82), (139) are inconsistent by sub-proof
% 172.64/27.00  | | | | | | | | | | | | |            #923.
% 172.64/27.00  | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | Case 2:
% 172.64/27.00  | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | |   (140)  all_58_20 = e3 | all_58_21 = e2
% 172.64/27.00  | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | BETA: splitting (140) gives:
% 172.64/27.00  | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | Case 1:
% 172.64/27.00  | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | |   (141)  all_58_21 = e2
% 172.64/27.00  | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | COMBINE_EQS: (76), (141) imply:
% 172.64/27.00  | | | | | | | | | | | | | |   (142)  all_4_2 = e2
% 172.64/27.00  | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | COMBINE_EQS: (67), (142) imply:
% 172.64/27.00  | | | | | | | | | | | | | |   (143)  all_56_3 = e2
% 172.64/27.00  | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | REDUCE: (18), (142) imply:
% 172.64/27.00  | | | | | | | | | | | | | |   (144)   ~ (all_52_13 = e2)
% 172.64/27.00  | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | BETA: splitting (33) gives:
% 172.64/27.00  | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | Case 1:
% 172.64/27.00  | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | |   (145)  all_56_9 = e2
% 172.64/27.00  | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | REF_CLOSE: (29), (61), (80), (137), (140), (141), (145) are
% 172.64/27.00  | | | | | | | | | | | | | | |            inconsistent by sub-proof #719.
% 172.64/27.00  | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | Case 2:
% 172.64/27.00  | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | |   (146)   ~ (all_56_9 = e2)
% 172.64/27.00  | | | | | | | | | | | | | | |   (147)  all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.64/27.00  | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | REDUCE: (29), (146) imply:
% 172.64/27.00  | | | | | | | | | | | | | | |   (148)   ~ (e2 = e0)
% 172.64/27.00  | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 172.64/27.00  | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | Case 1:
% 172.64/27.00  | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | |   (149)  all_56_1 = e3
% 172.64/27.00  | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | COMBINE_EQS: (2), (149) imply:
% 172.64/27.00  | | | | | | | | | | | | | | | |   (150)  all_52_4 = e3
% 172.64/27.00  | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | REDUCE: (137), (150) imply:
% 172.64/27.00  | | | | | | | | | | | | | | | |   (151)  $false
% 172.64/27.00  | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | CLOSE: (151) is inconsistent.
% 172.64/27.00  | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | Case 2:
% 172.64/27.00  | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | |   (152)  all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 172.64/27.00  | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | BETA: splitting (152) gives:
% 172.64/27.00  | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | Case 1:
% 172.64/27.00  | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | |   (153)  all_56_3 = e3
% 172.64/27.00  | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | COMBINE_EQS: (143), (153) imply:
% 172.64/27.00  | | | | | | | | | | | | | | | | |   (154)  e3 = e2
% 172.64/27.00  | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (62), (80), (133), (135), (154) are
% 172.64/27.00  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #412.
% 172.64/27.00  | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | Case 2:
% 172.64/27.00  | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | |   (155)  all_56_7 = e3 | all_56_13 = e3
% 172.64/27.00  | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | BETA: splitting (155) gives:
% 172.64/27.00  | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | Case 1:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | |   (156)  all_56_7 = e3
% 172.64/27.00  | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | REF_CLOSE: (57), (138), (156) are inconsistent by sub-proof
% 172.64/27.00  | | | | | | | | | | | | | | | | | |            #642.
% 172.64/27.00  | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | Case 2:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | |   (157)  all_56_13 = e3
% 172.64/27.00  | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (51), (157) imply:
% 172.64/27.00  | | | | | | | | | | | | | | | | | |   (158)  all_52_7 = e3
% 172.64/27.00  | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | SIMP: (158) implies:
% 172.64/27.00  | | | | | | | | | | | | | | | | | |   (159)  all_52_7 = e3
% 172.64/27.00  | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | REDUCE: (41), (159) imply:
% 172.64/27.00  | | | | | | | | | | | | | | | | | |   (160)   ~ (all_14_2 = e3)
% 172.64/27.00  | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | SIMP: (160) implies:
% 172.64/27.00  | | | | | | | | | | | | | | | | | |   (161)   ~ (all_14_2 = e3)
% 172.64/27.00  | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | |   (162)  all_56_10 = e2
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (77), (144), (162) are inconsistent by sub-proof
% 172.64/27.00  | | | | | | | | | | | | | | | | | | |            #517.
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | |   (163)  all_56_11 = e2 | all_56_15 = e2
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | |   (164)  all_56_11 = e2
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (129), (164) are inconsistent by sub-proof
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | |            #442.
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | |   (165)  all_56_15 = e2
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13), (165) imply:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | |   (166)  all_14_2 = e2
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | SIMP: (166) implies:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | |   (167)  all_14_2 = e2
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | REDUCE: (161), (167) imply:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | |   (168)   ~ (e3 = e2)
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (167) imply:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | |   (169)  op(e2, e0) = e1
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | BETA: splitting (102) gives:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | |   (170)  all_58_30 = e1
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (32), (170) imply:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | |   (171)  all_52_14 = e1
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (30), (171) imply:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | |   (172)  all_56_11 = e1
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (171) imply:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | |   (173)   ~ (all_52_13 = e1)
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (171) imply:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | |   (174)   ~ (all_10_2 = e1)
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | SIMP: (174) implies:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | |   (175)   ~ (all_10_2 = e1)
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (92) gives:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | |   (176)  all_54_7 = e1
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (85), (173), (176) are inconsistent by sub-proof
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | |            #712.
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | |   (177)   ~ (all_54_7 = e1)
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | |   (178)  all_54_7 = e3 | all_54_7 = e2
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (27) gives:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | |   (179)  all_56_6 = e3
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (124), (179) imply:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | |   (180)  e3 = e2
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (62), (80), (133), (135), (180) are
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #412.
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | |   (181)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | |   (182)  all_54_7 = e2
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (85), (144), (182) are inconsistent by sub-proof
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | |            #711.
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | |   (183)  all_54_7 = e3
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (85), (183) imply:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | |   (184)  all_52_13 = e3
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (184) implies:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | |   (185)  all_52_13 = e3
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (185) imply:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | |   (186)  op(e2, e0) = e3
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (187)  all_56_7 = e3
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (57), (187) imply:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (188)  e3 = e0
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (188) imply:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (189)  $false
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (189) is inconsistent.
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (190)  all_56_8 = e3 | all_56_11 = e3
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | |   (191)  all_56_8 = e3
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19), (191) imply:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | |   (192)  all_10_2 = e3
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (192) implies:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | |   (193)  all_10_2 = e3
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (73) with e1, e3, e0, e2,
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (169), (186) gives:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | |   (194)  e3 = e1
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (135), (194) imply:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | |   (195)  all_58_16 = e1
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (62), (80), (133), (195) are inconsistent by
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #980.
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | |   (196)  all_56_11 = e3
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (62), (80), (133), (135), (172), (196) are
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #404.
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | End of split
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | End of split
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | |   (197)  all_58_28 = e3 | all_58_29 = e2
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (54), (138), (144), (197) are inconsistent
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #844.
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | End of split
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | End of split
% 172.64/27.00  | | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | | End of split
% 172.64/27.00  | | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | | End of split
% 172.64/27.00  | | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | | End of split
% 172.64/27.00  | | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | | End of split
% 172.64/27.00  | | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | End of split
% 172.64/27.00  | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | Case 2:
% 172.64/27.00  | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | |   (198)  all_58_20 = e3
% 172.64/27.00  | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | COMBINE_EQS: (61), (198) imply:
% 172.64/27.00  | | | | | | | | | | | | | |   (199)  all_52_4 = e3
% 172.64/27.00  | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | REDUCE: (137), (199) imply:
% 172.64/27.00  | | | | | | | | | | | | | |   (200)  $false
% 172.64/27.00  | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | | CLOSE: (200) is inconsistent.
% 172.64/27.00  | | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | | End of split
% 172.64/27.00  | | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | | End of split
% 172.64/27.00  | | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | | End of split
% 172.64/27.00  | | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | End of split
% 172.64/27.00  | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | Case 2:
% 172.64/27.00  | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | |   (201)  all_56_12 = e2
% 172.64/27.00  | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | | REF_CLOSE: (3), (121), (201) are inconsistent by sub-proof
% 172.64/27.00  | | | | | | | | | |            #953.
% 172.64/27.00  | | | | | | | | | | 
% 172.64/27.00  | | | | | | | | | End of split
% 172.64/27.00  | | | | | | | | | 
% 172.64/27.00  | | | | | | | | End of split
% 172.64/27.00  | | | | | | | | 
% 172.64/27.00  | | | | | | | End of split
% 172.64/27.00  | | | | | | | 
% 172.64/27.00  | | | | | | End of split
% 172.64/27.00  | | | | | | 
% 172.64/27.00  | | | | | End of split
% 172.64/27.00  | | | | | 
% 172.64/27.00  | | | | End of split
% 172.64/27.00  | | | | 
% 172.64/27.00  | | | End of split
% 172.64/27.00  | | | 
% 172.64/27.00  | | End of split
% 172.64/27.00  | | 
% 172.64/27.00  | End of split
% 172.64/27.00  | 
% 172.64/27.00  End of proof
% 172.64/27.00  
% 172.64/27.00  Sub-proof #404 shows that the following formulas are inconsistent:
% 172.64/27.00  ----------------------------------------------------------------
% 172.64/27.00    (1)   ~ (e3 = e1)
% 172.64/27.00    (2)  all_56_11 = e3
% 172.64/27.00    (3)  all_56_11 = e1
% 172.64/27.00    (4)  all_58_16 = e3
% 172.64/27.00    (5)  all_58_17 = e0
% 172.64/27.00    (6)  all_58_16 = e3 | all_58_17 = e2
% 172.64/27.00    (7)   ~ (e2 = e0)
% 172.64/27.00  
% 172.64/27.00  Begin of proof
% 172.64/27.00  | 
% 172.64/27.00  | COMBINE_EQS: (2), (3) imply:
% 172.64/27.00  |   (8)  e3 = e1
% 172.64/27.00  | 
% 172.64/27.00  | COMBINE_EQS: (4), (8) imply:
% 172.64/27.00  |   (9)  all_58_16 = e1
% 172.64/27.00  | 
% 172.64/27.00  | REF_CLOSE: (1), (5), (6), (7), (9) are inconsistent by sub-proof #980.
% 172.64/27.00  | 
% 172.64/27.00  End of proof
% 172.64/27.00  
% 172.64/27.00  Sub-proof #405 shows that the following formulas are inconsistent:
% 172.64/27.00  ----------------------------------------------------------------
% 172.64/27.00    (1)  all_54_8 = all_52_2
% 172.64/27.00    (2)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.64/27.00    (3)   ~ (e3 = e1)
% 172.64/27.00    (4)   ~ (all_52_2 = all_6_2)
% 172.64/27.00    (5)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.64/27.00    (6)   ~ (all_52_13 = all_4_2)
% 172.64/27.00    (7)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.64/27.00    (8)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 172.64/27.00    (9)  all_56_0 = all_6_2
% 172.64/27.00    (10)  all_58_30 = all_52_14
% 172.64/27.00    (11)  all_58_19 = all_52_3
% 172.64/27.00    (12)  all_58_22 = e0
% 172.64/27.00    (13)   ~ (all_6_2 = e2)
% 172.64/27.00    (14)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.64/27.00    (15)   ~ (all_52_2 = e2)
% 172.64/27.00    (16)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.64/27.00    (17)  all_58_28 = e0
% 172.64/27.00    (18)  all_58_18 = all_52_2
% 172.64/27.00    (19)  all_58_16 = all_6_2
% 172.64/27.00    (20)   ~ (all_52_4 = all_6_2)
% 172.64/27.00    (21)  all_58_29 = all_52_13
% 172.64/27.00    (22)   ~ (all_6_2 = e0)
% 172.64/27.00    (23)  all_58_20 = all_52_4
% 172.64/27.00    (24)  all_58_17 = e0
% 172.64/27.00    (25)  all_54_0 = all_6_2
% 172.64/27.00    (26)   ~ (all_52_2 = all_52_14)
% 172.64/27.00    (27)  all_58_21 = all_4_2
% 172.64/27.00    (28)   ~ (all_52_3 = e0)
% 172.64/27.00    (29)   ~ (e2 = e0)
% 172.64/27.00    (30)   ~ (e1 = e0)
% 172.64/27.00  
% 172.64/27.00  Begin of proof
% 172.64/27.00  | 
% 172.64/27.00  | BETA: splitting (16) gives:
% 172.64/27.00  | 
% 172.64/27.00  | Case 1:
% 172.64/27.00  | | 
% 172.64/27.00  | |   (31)  all_56_0 = e1
% 172.64/27.00  | | 
% 172.64/27.00  | | COMBINE_EQS: (9), (31) imply:
% 172.64/27.00  | |   (32)  all_6_2 = e1
% 172.64/27.00  | | 
% 172.64/27.00  | | REF_CLOSE: (3), (4), (5), (11), (18), (19), (24), (28), (29), (32) are
% 172.64/27.00  | |            inconsistent by sub-proof #936.
% 172.64/27.00  | | 
% 172.64/27.00  | Case 2:
% 172.64/27.00  | | 
% 172.64/27.00  | |   (33)   ~ (all_56_0 = e1)
% 172.64/27.00  | | 
% 172.64/27.00  | | REDUCE: (9), (33) imply:
% 172.64/27.00  | |   (34)   ~ (all_6_2 = e1)
% 172.64/27.00  | | 
% 172.64/27.00  | | BETA: splitting (14) gives:
% 172.64/27.00  | | 
% 172.64/27.00  | | Case 1:
% 172.64/27.00  | | | 
% 172.64/27.00  | | |   (35)  all_54_0 = e1
% 172.64/27.00  | | | 
% 172.64/27.00  | | | REF_CLOSE: (25), (34), (35) are inconsistent by sub-proof #951.
% 172.64/27.00  | | | 
% 172.64/27.00  | | Case 2:
% 172.64/27.00  | | | 
% 172.64/27.00  | | |   (36)   ~ (all_54_0 = e1)
% 172.64/27.00  | | |   (37)  all_54_0 = e3 | all_54_0 = e2
% 172.64/27.00  | | | 
% 172.64/27.00  | | | BETA: splitting (37) gives:
% 172.64/27.00  | | | 
% 172.64/27.00  | | | Case 1:
% 172.64/27.00  | | | | 
% 172.64/27.00  | | | |   (38)  all_54_0 = e2
% 172.64/27.00  | | | | 
% 172.64/27.00  | | | | REF_CLOSE: (13), (25), (38) are inconsistent by sub-proof #946.
% 172.64/27.00  | | | | 
% 172.64/27.00  | | | Case 2:
% 172.64/27.00  | | | | 
% 172.64/27.00  | | | |   (39)  all_54_0 = e3
% 172.64/27.00  | | | | 
% 172.64/27.00  | | | | COMBINE_EQS: (25), (39) imply:
% 172.64/27.00  | | | |   (40)  all_6_2 = e3
% 172.64/27.00  | | | | 
% 172.64/27.00  | | | | SIMP: (40) implies:
% 172.64/27.00  | | | |   (41)  all_6_2 = e3
% 172.64/27.00  | | | | 
% 172.64/27.00  | | | | REDUCE: (20), (41) imply:
% 172.64/27.00  | | | |   (42)   ~ (all_52_4 = e3)
% 172.64/27.00  | | | | 
% 172.64/27.00  | | | | REDUCE: (22), (41) imply:
% 172.64/27.00  | | | |   (43)   ~ (e3 = e0)
% 172.64/27.00  | | | | 
% 172.64/27.00  | | | | BETA: splitting (2) gives:
% 172.64/27.00  | | | | 
% 172.64/27.00  | | | | Case 1:
% 172.64/27.00  | | | | | 
% 172.64/27.00  | | | | |   (44)  all_58_22 = e1
% 172.64/27.00  | | | | | 
% 172.64/27.00  | | | | | REF_CLOSE: (12), (30), (44) are inconsistent by sub-proof #923.
% 172.64/27.00  | | | | | 
% 172.64/27.00  | | | | Case 2:
% 172.64/27.00  | | | | | 
% 172.64/27.00  | | | | |   (45)  all_58_20 = e3 | all_58_21 = e2
% 172.64/27.00  | | | | | 
% 172.64/27.00  | | | | | BETA: splitting (45) gives:
% 172.64/27.00  | | | | | 
% 172.64/27.00  | | | | | Case 1:
% 172.64/27.00  | | | | | | 
% 172.64/27.00  | | | | | |   (46)  all_58_21 = e2
% 172.64/27.00  | | | | | | 
% 172.64/27.00  | | | | | | COMBINE_EQS: (27), (46) imply:
% 172.64/27.00  | | | | | |   (47)  all_4_2 = e2
% 172.64/27.00  | | | | | | 
% 172.64/27.00  | | | | | | REDUCE: (6), (47) imply:
% 172.64/27.00  | | | | | |   (48)   ~ (all_52_13 = e2)
% 172.64/27.00  | | | | | | 
% 172.64/27.00  | | | | | | BETA: splitting (7) gives:
% 172.64/27.00  | | | | | | 
% 172.64/27.00  | | | | | | Case 1:
% 172.64/27.00  | | | | | | | 
% 172.64/27.00  | | | | | | |   (49)  all_58_30 = e1
% 172.64/27.00  | | | | | | | 
% 172.64/27.00  | | | | | | | COMBINE_EQS: (10), (49) imply:
% 172.64/27.00  | | | | | | |   (50)  all_52_14 = e1
% 172.64/27.00  | | | | | | | 
% 172.64/27.00  | | | | | | | REDUCE: (26), (50) imply:
% 172.64/27.00  | | | | | | |   (51)   ~ (all_52_2 = e1)
% 172.64/27.00  | | | | | | | 
% 172.64/27.00  | | | | | | | REF_CLOSE: (1), (4), (8), (13), (14), (15), (25), (34), (51) are
% 172.64/27.00  | | | | | | |            inconsistent by sub-proof #406.
% 172.64/27.00  | | | | | | | 
% 172.64/27.00  | | | | | | Case 2:
% 172.64/27.00  | | | | | | | 
% 172.64/27.00  | | | | | | |   (52)  all_58_28 = e3 | all_58_29 = e2
% 172.64/27.00  | | | | | | | 
% 172.64/27.00  | | | | | | | REF_CLOSE: (17), (21), (43), (48), (52) are inconsistent by
% 172.64/27.00  | | | | | | |            sub-proof #844.
% 172.64/27.00  | | | | | | | 
% 172.64/27.00  | | | | | | End of split
% 172.64/27.00  | | | | | | 
% 172.64/27.00  | | | | | Case 2:
% 172.64/27.00  | | | | | | 
% 172.64/27.00  | | | | | |   (53)  all_58_20 = e3
% 172.64/27.00  | | | | | | 
% 172.64/27.00  | | | | | | COMBINE_EQS: (23), (53) imply:
% 172.64/27.00  | | | | | |   (54)  all_52_4 = e3
% 172.64/27.01  | | | | | | 
% 172.64/27.01  | | | | | | REDUCE: (42), (54) imply:
% 172.64/27.01  | | | | | |   (55)  $false
% 172.64/27.01  | | | | | | 
% 172.64/27.01  | | | | | | CLOSE: (55) is inconsistent.
% 172.64/27.01  | | | | | | 
% 172.64/27.01  | | | | | End of split
% 172.64/27.01  | | | | | 
% 172.64/27.01  | | | | End of split
% 172.64/27.01  | | | | 
% 172.64/27.01  | | | End of split
% 172.64/27.01  | | | 
% 172.64/27.01  | | End of split
% 172.64/27.01  | | 
% 172.64/27.01  | End of split
% 172.64/27.01  | 
% 172.64/27.01  End of proof
% 172.64/27.01  
% 172.64/27.01  Sub-proof #406 shows that the following formulas are inconsistent:
% 172.64/27.01  ----------------------------------------------------------------
% 172.64/27.01    (1)  all_54_8 = all_52_2
% 172.64/27.01    (2)   ~ (all_52_2 = all_6_2)
% 172.64/27.01    (3)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 172.64/27.01    (4)   ~ (all_6_2 = e2)
% 172.64/27.01    (5)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.64/27.01    (6)   ~ (all_52_2 = e2)
% 172.64/27.01    (7)   ~ (all_52_2 = e1)
% 172.64/27.01    (8)   ~ (all_6_2 = e1)
% 172.64/27.01    (9)  all_54_0 = all_6_2
% 172.64/27.01  
% 172.64/27.01  Begin of proof
% 172.64/27.01  | 
% 172.64/27.01  | BETA: splitting (3) gives:
% 172.64/27.01  | 
% 172.64/27.01  | Case 1:
% 172.64/27.01  | | 
% 172.64/27.01  | |   (10)  all_54_8 = e1
% 172.64/27.01  | | 
% 172.64/27.01  | | REF_CLOSE: (1), (7), (10) are inconsistent by sub-proof #671.
% 172.64/27.01  | | 
% 172.64/27.01  | Case 2:
% 172.64/27.01  | | 
% 172.64/27.01  | |   (11)  all_54_8 = e3 | all_54_8 = e2
% 172.64/27.01  | | 
% 172.64/27.01  | | BETA: splitting (11) gives:
% 172.64/27.01  | | 
% 172.64/27.01  | | Case 1:
% 172.64/27.01  | | | 
% 172.64/27.01  | | |   (12)  all_54_8 = e2
% 172.64/27.01  | | | 
% 172.64/27.01  | | | REF_CLOSE: (1), (6), (12) are inconsistent by sub-proof #787.
% 172.64/27.01  | | | 
% 172.64/27.01  | | Case 2:
% 172.64/27.01  | | | 
% 172.64/27.01  | | |   (13)  all_54_8 = e3
% 172.64/27.01  | | | 
% 172.64/27.01  | | | COMBINE_EQS: (1), (13) imply:
% 172.64/27.01  | | |   (14)  all_52_2 = e3
% 172.64/27.01  | | | 
% 172.64/27.01  | | | SIMP: (14) implies:
% 172.64/27.01  | | |   (15)  all_52_2 = e3
% 172.64/27.01  | | | 
% 172.64/27.01  | | | REDUCE: (2), (15) imply:
% 172.64/27.01  | | |   (16)   ~ (all_6_2 = e3)
% 172.64/27.01  | | | 
% 172.64/27.01  | | | SIMP: (16) implies:
% 172.64/27.01  | | |   (17)   ~ (all_6_2 = e3)
% 172.64/27.01  | | | 
% 172.64/27.01  | | | REF_CLOSE: (4), (5), (8), (9), (17) are inconsistent by sub-proof #848.
% 172.64/27.01  | | | 
% 172.64/27.01  | | End of split
% 172.64/27.01  | | 
% 172.64/27.01  | End of split
% 172.64/27.01  | 
% 172.64/27.01  End of proof
% 172.64/27.01  
% 172.64/27.01  Sub-proof #407 shows that the following formulas are inconsistent:
% 172.64/27.01  ----------------------------------------------------------------
% 172.64/27.01    (1)  all_56_1 = all_52_4
% 172.64/27.01    (2)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 172.64/27.01    (3)   ~ (all_52_8 = all_52_12)
% 172.64/27.01    (4)   ~ (e3 = e1)
% 172.64/27.01    (5)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.64/27.01    (6)  all_56_5 = all_52_9
% 172.64/27.01    (7)  op(e2, e3) = e0
% 172.64/27.01    (8)   ~ (all_14_2 = e0)
% 172.64/27.01    (9)   ~ (all_52_9 = all_4_2)
% 172.64/27.01    (10)  all_54_6 = all_52_9
% 172.64/27.01    (11)   ~ (all_52_13 = all_4_2)
% 172.64/27.01    (12)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.64/27.01    (13)  op(e2, e3) = all_6_1
% 172.64/27.01    (14)  all_58_26 = all_10_2
% 172.64/27.01    (15)  all_58_31 = all_14_2
% 172.64/27.01    (16)   ~ (all_52_9 = all_52_13)
% 172.64/27.01    (17)   ~ (all_52_4 = e0)
% 172.64/27.01    (18)  all_56_9 = e0
% 172.64/27.01    (19)  all_58_30 = all_52_14
% 172.64/27.01    (20)  all_58_22 = e0
% 172.64/27.01    (21)   ~ (e3 = e2)
% 172.64/27.01    (22)   ~ (all_52_2 = e0)
% 172.64/27.01    (23)   ~ (all_52_2 = e2)
% 172.64/27.01    (24)  all_58_16 = e2
% 172.64/27.01    (25)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 172.64/27.01    (26)  all_58_28 = e0
% 172.64/27.01    (27)  all_58_18 = all_52_2
% 172.64/27.01    (28)   ~ (all_52_8 = all_52_9)
% 172.64/27.01    (29)  all_58_29 = all_52_13
% 172.64/27.01    (30)  all_56_4 = all_52_8
% 172.64/27.01    (31)  all_58_20 = all_52_4
% 172.64/27.01    (32)  all_58_17 = e0
% 172.64/27.01    (33)  all_56_0 = e2
% 172.64/27.01    (34)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 172.64/27.01    (35)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.64/27.01    (36)   ~ (all_52_4 = all_52_8)
% 172.64/27.01    (37)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 172.64/27.01    (38)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/27.01            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/27.01    (39)   ~ (all_6_1 = e0)
% 172.64/27.01    (40)   ~ (all_52_2 = all_52_14)
% 172.64/27.01    (41)  all_58_21 = all_4_2
% 172.64/27.01    (42)  op(e2, all_52_9) = all_58_6
% 172.64/27.01    (43)   ~ (e2 = e0)
% 172.64/27.01    (44)  all_58_28 = all_52_12
% 172.64/27.01    (45)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.64/27.01          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.64/27.01          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/27.01          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/27.01          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/27.01          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/27.01          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/27.01          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.64/27.01          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.64/27.01          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.64/27.01            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.64/27.01            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.64/27.01            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.64/27.01            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.64/27.01            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.64/27.01            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.64/27.01            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.64/27.01            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.64/27.01            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/27.01            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.64/27.01            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.64/27.01            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/27.01            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.64/27.01            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.64/27.01            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.64/27.01            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.64/27.01          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.64/27.01          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/27.01          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.64/27.01            all_58_30 = e0 & e1 = e0)
% 172.64/27.01    (46)  all_54_7 = all_52_13
% 172.64/27.01    (47)   ~ (all_52_2 = all_10_2)
% 172.64/27.01    (48)   ~ (all_52_12 = all_52_13)
% 172.64/27.01  
% 172.64/27.01  Begin of proof
% 172.64/27.01  | 
% 172.64/27.01  | BETA: splitting (5) gives:
% 172.64/27.01  | 
% 172.64/27.01  | Case 1:
% 172.64/27.01  | | 
% 172.64/27.01  | |   (49)  all_58_18 = e1
% 172.64/27.01  | | 
% 172.64/27.01  | | COMBINE_EQS: (27), (49) imply:
% 172.64/27.01  | |   (50)  all_52_2 = e1
% 172.64/27.01  | | 
% 172.64/27.01  | | SIMP: (50) implies:
% 172.64/27.01  | |   (51)  all_52_2 = e1
% 172.64/27.01  | | 
% 172.64/27.01  | | REDUCE: (40), (51) imply:
% 172.64/27.01  | |   (52)   ~ (all_52_14 = e1)
% 172.64/27.01  | | 
% 172.64/27.01  | | SIMP: (52) implies:
% 172.64/27.01  | |   (53)   ~ (all_52_14 = e1)
% 172.64/27.01  | | 
% 172.64/27.01  | | REDUCE: (47), (51) imply:
% 172.64/27.01  | |   (54)   ~ (all_10_2 = e1)
% 172.64/27.01  | | 
% 172.64/27.01  | | SIMP: (54) implies:
% 172.64/27.01  | |   (55)   ~ (all_10_2 = e1)
% 172.64/27.01  | | 
% 172.64/27.01  | | REDUCE: (23), (51) imply:
% 172.64/27.01  | |   (56)   ~ (e2 = e1)
% 172.64/27.01  | | 
% 172.64/27.01  | | SIMP: (56) implies:
% 172.64/27.01  | |   (57)   ~ (e2 = e1)
% 172.64/27.01  | | 
% 172.64/27.01  | | REDUCE: (22), (51) imply:
% 172.64/27.01  | |   (58)   ~ (e1 = e0)
% 172.64/27.01  | | 
% 172.64/27.01  | | BETA: splitting (45) gives:
% 172.64/27.01  | | 
% 172.64/27.01  | | Case 1:
% 172.64/27.01  | | | 
% 172.64/27.01  | | |   (59)  all_58_31 = e0
% 172.64/27.01  | | | 
% 172.64/27.01  | | | COMBINE_EQS: (15), (59) imply:
% 172.64/27.01  | | |   (60)  all_14_2 = e0
% 172.64/27.01  | | | 
% 172.64/27.01  | | | REDUCE: (8), (60) imply:
% 172.64/27.01  | | |   (61)  $false
% 172.64/27.01  | | | 
% 172.64/27.01  | | | CLOSE: (61) is inconsistent.
% 172.64/27.01  | | | 
% 172.64/27.01  | | Case 2:
% 172.64/27.01  | | | 
% 172.64/27.01  | | |   (62)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | (all_58_17 = e3
% 172.64/27.01  | | |           & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) | (all_58_17
% 172.64/27.01  | | |           = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/27.01  | | |         (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 =
% 172.64/27.01  | | |           e2) | (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 172.64/27.01  | | |           all_58_29 = e2) | (all_58_17 = e2 & all_58_18 = e3 & all_58_20 =
% 172.64/27.01  | | |           e2 & all_58_24 = e3) | (all_58_17 = e2 & all_58_19 = e3 &
% 172.64/27.01  | | |           all_58_20 = e2 & all_58_28 = e3) | (all_58_17 = e2 & all_58_20 =
% 172.64/27.01  | | |           e2 & all_58_22 = e1 & all_58_25 = e1) | (all_58_17 = e2 &
% 172.64/27.01  | | |           all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) | (all_58_17 =
% 172.64/27.01  | | |           e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 172.64/27.01  | | |           e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.64/27.01  | | |           all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 =
% 172.64/27.01  | | |           e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 172.64/27.01  | | |         (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 & all_58_28 =
% 172.64/27.01  | | |           e3) | (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 &
% 172.64/27.01  | | |           all_58_25 = e2) | (all_58_18 = e1 & all_58_24 = e1 & all_58_27 =
% 172.64/27.01  | | |           e0 & all_58_30 = e0) | (all_58_18 = e1 & all_58_24 = e1 & e3 =
% 172.64/27.01  | | |           e1) | (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 172.64/27.01  | | |           all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 & all_58_28 =
% 172.64/27.01  | | |           e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/27.01  | | |           all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 =
% 172.64/27.01  | | |           e1 & all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 &
% 172.64/27.01  | | |           all_58_28 = e0 & e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 &
% 172.64/27.01  | | |           all_58_25 = e2 & all_58_29 = e0) | (all_58_22 = e2 & all_58_25 =
% 172.64/27.01  | | |           e2 & all_58_27 = e1 & all_58_30 = e1) | (all_58_22 = e1 &
% 172.64/27.01  | | |           all_58_23 = e2 & all_58_25 = e1 & all_58_29 = e2) | (all_58_22 =
% 172.64/27.01  | | |           e1 & all_58_25 = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 172.64/27.01  | | |         (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 = e2 &
% 172.64/27.01  | | |           all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) | (all_58_23 =
% 172.64/27.01  | | |           e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/27.01  | | |         (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.64/27.01  | | |           all_58_30 = e0 & e1 = e0)
% 172.64/27.01  | | | 
% 172.64/27.01  | | | BETA: splitting (62) gives:
% 172.64/27.01  | | | 
% 172.64/27.01  | | | Case 1:
% 172.64/27.01  | | | | 
% 172.64/27.01  | | | |   (63)  all_58_26 = e1
% 172.64/27.01  | | | | 
% 172.64/27.01  | | | | REF_CLOSE: (14), (55), (63) are inconsistent by sub-proof #968.
% 172.64/27.01  | | | | 
% 172.64/27.01  | | | Case 2:
% 172.64/27.01  | | | | 
% 172.64/27.01  | | | |   (64)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3 & all_58_18 =
% 172.64/27.01  | | | |           e1 & all_58_20 = e3 & all_58_24 = e1) | (all_58_17 = e3 &
% 172.64/27.01  | | | |           all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) | (all_58_17
% 172.64/27.01  | | | |           = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/27.01  | | | |         (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 =
% 172.64/27.01  | | | |           e2) | (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 172.64/27.01  | | | |           all_58_24 = e3) | (all_58_17 = e2 & all_58_19 = e3 & all_58_20
% 172.64/27.01  | | | |           = e2 & all_58_28 = e3) | (all_58_17 = e2 & all_58_20 = e2 &
% 172.64/27.01  | | | |           all_58_22 = e1 & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 172.64/27.01  | | | |           = e2 & all_58_23 = e0 & all_58_29 = e0) | (all_58_17 = e2 &
% 172.64/27.01  | | | |           all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 = e0 &
% 172.64/27.01  | | | |           all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 172.64/27.01  | | | |           = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.64/27.01  | | | |           all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18
% 172.64/27.01  | | | |           = e1 & all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 172.64/27.01  | | | |         (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25 =
% 172.64/27.01  | | | |           e2) | (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 172.64/27.01  | | | |           all_58_30 = e0) | (all_58_18 = e1 & all_58_24 = e1 & e3 = e1)
% 172.64/27.01  | | | |         | (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 & all_58_29
% 172.64/27.01  | | | |           = e0) | (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 172.64/27.01  | | | |           all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 & all_58_28
% 172.64/27.01  | | | |           = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.64/27.01  | | | |           all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28
% 172.64/27.01  | | | |           = e0 & e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25
% 172.64/27.01  | | | |           = e2 & all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 &
% 172.64/27.01  | | | |           all_58_27 = e1 & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 172.64/27.01  | | | |           = e2 & all_58_25 = e1 & all_58_29 = e2) | (all_58_22 = e1 &
% 172.64/27.01  | | | |           all_58_25 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_22
% 172.64/27.01  | | | |           = e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27
% 172.64/27.01  | | | |           = e0 & all_58_29 = e2 & all_58_30 = e0) | (all_58_23 = e0 &
% 172.64/27.01  | | | |           all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) | (all_58_23
% 172.64/27.01  | | | |           = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30
% 172.64/27.01  | | | |           = e0 & e1 = e0)
% 172.64/27.01  | | | | 
% 172.64/27.01  | | | | BETA: splitting (64) gives:
% 172.64/27.01  | | | | 
% 172.64/27.01  | | | | Case 1:
% 172.64/27.01  | | | | | 
% 172.64/27.01  | | | | |   (65)  all_58_21 = e2
% 172.64/27.01  | | | | | 
% 172.64/27.01  | | | | | COMBINE_EQS: (41), (65) imply:
% 172.64/27.01  | | | | |   (66)  all_4_2 = e2
% 172.64/27.01  | | | | | 
% 172.64/27.01  | | | | | REDUCE: (9), (66) imply:
% 172.64/27.01  | | | | |   (67)   ~ (all_52_9 = e2)
% 172.64/27.01  | | | | | 
% 172.64/27.01  | | | | | REDUCE: (11), (66) imply:
% 172.64/27.01  | | | | |   (68)   ~ (all_52_13 = e2)
% 172.64/27.01  | | | | | 
% 172.64/27.01  | | | | | BETA: splitting (12) gives:
% 172.64/27.01  | | | | | 
% 172.64/27.01  | | | | | Case 1:
% 172.64/27.01  | | | | | | 
% 172.64/27.01  | | | | | |   (69)  all_58_30 = e1
% 172.64/27.01  | | | | | | 
% 172.64/27.01  | | | | | | COMBINE_EQS: (19), (69) imply:
% 172.64/27.01  | | | | | |   (70)  all_52_14 = e1
% 172.64/27.01  | | | | | | 
% 172.64/27.01  | | | | | | REDUCE: (53), (70) imply:
% 172.64/27.01  | | | | | |   (71)  $false
% 172.64/27.01  | | | | | | 
% 172.64/27.01  | | | | | | CLOSE: (71) is inconsistent.
% 172.64/27.01  | | | | | | 
% 172.64/27.01  | | | | | Case 2:
% 172.64/27.01  | | | | | | 
% 172.64/27.01  | | | | | |   (72)  all_58_28 = e3 | all_58_29 = e2
% 172.64/27.01  | | | | | | 
% 172.64/27.01  | | | | | | REF_CLOSE: (3), (6), (7), (10), (13), (16), (25), (29), (30), (34),
% 172.64/27.01  | | | | | |            (37), (38), (39), (42), (44), (46), (48), (67), (68),
% 172.64/27.01  | | | | | |            (72) are inconsistent by sub-proof #706.
% 172.64/27.01  | | | | | | 
% 172.64/27.01  | | | | | End of split
% 172.64/27.01  | | | | | 
% 172.64/27.01  | | | | Case 2:
% 172.64/27.01  | | | | | 
% 172.64/27.01  | | | | |   (73)   ~ (all_58_21 = e2)
% 172.64/27.01  | | | | | 
% 172.64/27.01  | | | | | REDUCE: (41), (73) imply:
% 172.64/27.01  | | | | |   (74)   ~ (all_4_2 = e2)
% 172.64/27.01  | | | | | 
% 172.64/27.01  | | | | | BETA: splitting (12) gives:
% 172.64/27.01  | | | | | 
% 172.64/27.01  | | | | | Case 1:
% 172.64/27.01  | | | | | | 
% 172.64/27.01  | | | | | |   (75)  all_58_30 = e1
% 172.64/27.01  | | | | | | 
% 172.64/27.01  | | | | | | COMBINE_EQS: (19), (75) imply:
% 172.64/27.01  | | | | | |   (76)  all_52_14 = e1
% 172.64/27.01  | | | | | | 
% 172.64/27.01  | | | | | | REDUCE: (53), (76) imply:
% 172.64/27.01  | | | | | |   (77)  $false
% 172.64/27.01  | | | | | | 
% 172.64/27.01  | | | | | | CLOSE: (77) is inconsistent.
% 172.64/27.01  | | | | | | 
% 172.64/27.01  | | | | | Case 2:
% 172.64/27.01  | | | | | | 
% 172.64/27.01  | | | | | |   (78)  all_58_28 = e3 | all_58_29 = e2
% 172.64/27.01  | | | | | | 
% 172.64/27.01  | | | | | | BETA: splitting (2) gives:
% 172.64/27.01  | | | | | | 
% 172.64/27.01  | | | | | | Case 1:
% 172.64/27.01  | | | | | | | 
% 172.64/27.01  | | | | | | |   (79)  all_58_22 = e1
% 172.64/27.01  | | | | | | | 
% 172.64/27.01  | | | | | | | REF_CLOSE: (20), (58), (79) are inconsistent by sub-proof #923.
% 172.64/27.01  | | | | | | | 
% 172.64/27.01  | | | | | | Case 2:
% 172.64/27.01  | | | | | | | 
% 172.64/27.01  | | | | | | |   (80)   ~ (all_58_22 = e1)
% 172.64/27.01  | | | | | | |   (81)  all_58_20 = e3 | all_58_21 = e2
% 172.64/27.01  | | | | | | | 
% 172.64/27.01  | | | | | | | REDUCE: (20), (80) imply:
% 172.64/27.01  | | | | | | |   (82)   ~ (e1 = e0)
% 172.64/27.01  | | | | | | | 
% 172.64/27.01  | | | | | | | BETA: splitting (81) gives:
% 172.64/27.01  | | | | | | | 
% 172.64/27.01  | | | | | | | Case 1:
% 172.64/27.01  | | | | | | | | 
% 172.64/27.01  | | | | | | | |   (83)  all_58_21 = e2
% 172.64/27.01  | | | | | | | | 
% 172.64/27.01  | | | | | | | | COMBINE_EQS: (41), (83) imply:
% 172.64/27.01  | | | | | | | |   (84)  all_4_2 = e2
% 172.64/27.01  | | | | | | | | 
% 172.64/27.01  | | | | | | | | REDUCE: (74), (84) imply:
% 172.64/27.01  | | | | | | | |   (85)  $false
% 172.64/27.01  | | | | | | | | 
% 172.64/27.01  | | | | | | | | CLOSE: (85) is inconsistent.
% 172.64/27.01  | | | | | | | | 
% 172.64/27.01  | | | | | | | Case 2:
% 172.64/27.01  | | | | | | | | 
% 172.64/27.01  | | | | | | | |   (86)  all_58_20 = e3
% 172.64/27.01  | | | | | | | | 
% 172.64/27.01  | | | | | | | | COMBINE_EQS: (31), (86) imply:
% 172.64/27.01  | | | | | | | |   (87)  all_52_4 = e3
% 172.64/27.01  | | | | | | | | 
% 172.64/27.01  | | | | | | | | COMBINE_EQS: (1), (87) imply:
% 172.64/27.01  | | | | | | | |   (88)  all_56_1 = e3
% 172.64/27.01  | | | | | | | | 
% 172.64/27.01  | | | | | | | | REDUCE: (36), (87) imply:
% 172.64/27.01  | | | | | | | |   (89)   ~ (all_52_8 = e3)
% 172.64/27.01  | | | | | | | | 
% 172.64/27.01  | | | | | | | | SIMP: (89) implies:
% 172.64/27.01  | | | | | | | |   (90)   ~ (all_52_8 = e3)
% 172.64/27.01  | | | | | | | | 
% 172.64/27.01  | | | | | | | | REDUCE: (17), (87) imply:
% 172.64/27.01  | | | | | | | |   (91)   ~ (e3 = e0)
% 172.64/27.01  | | | | | | | | 
% 172.64/27.01  | | | | | | | | BETA: splitting (35) gives:
% 172.64/27.01  | | | | | | | | 
% 172.64/27.01  | | | | | | | | Case 1:
% 172.64/27.01  | | | | | | | | | 
% 172.64/27.01  | | | | | | | | |   (92)  all_56_0 = e1
% 172.64/27.01  | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | COMBINE_EQS: (33), (92) imply:
% 172.64/27.01  | | | | | | | | |   (93)  e2 = e1
% 172.64/27.01  | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | REDUCE: (57), (93) imply:
% 172.64/27.01  | | | | | | | | |   (94)  $false
% 172.64/27.01  | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | CLOSE: (94) is inconsistent.
% 172.64/27.01  | | | | | | | | | 
% 172.64/27.01  | | | | | | | | Case 2:
% 172.64/27.01  | | | | | | | | | 
% 172.64/27.01  | | | | | | | | |   (95)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 172.64/27.01  | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | BETA: splitting (78) gives:
% 172.64/27.01  | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | Case 1:
% 172.64/27.01  | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | |   (96)  all_58_29 = e2
% 172.64/27.01  | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | COMBINE_EQS: (29), (96) imply:
% 172.64/27.01  | | | | | | | | | |   (97)  all_52_13 = e2
% 172.64/27.01  | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | REDUCE: (16), (97) imply:
% 172.64/27.01  | | | | | | | | | |   (98)   ~ (all_52_9 = e2)
% 172.64/27.01  | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | BETA: splitting (34) gives:
% 172.64/27.01  | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | Case 1:
% 172.64/27.01  | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | |   (99)  all_56_4 = e3
% 172.64/27.01  | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | COMBINE_EQS: (30), (99) imply:
% 172.64/27.01  | | | | | | | | | | |   (100)  all_52_8 = e3
% 172.64/27.01  | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | REDUCE: (90), (100) imply:
% 172.64/27.01  | | | | | | | | | | |   (101)  $false
% 172.64/27.01  | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | CLOSE: (101) is inconsistent.
% 172.64/27.01  | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | Case 2:
% 172.64/27.01  | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | |   (102)  all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 172.64/27.01  | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | BETA: splitting (95) gives:
% 172.64/27.01  | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | Case 1:
% 172.64/27.01  | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | |   (103)  all_56_1 = e1
% 172.64/27.01  | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | | COMBINE_EQS: (88), (103) imply:
% 172.64/27.01  | | | | | | | | | | | |   (104)  e3 = e1
% 172.64/27.01  | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | | REDUCE: (4), (104) imply:
% 172.64/27.01  | | | | | | | | | | | |   (105)  $false
% 172.64/27.01  | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | | CLOSE: (105) is inconsistent.
% 172.64/27.01  | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | Case 2:
% 172.64/27.01  | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | |   (106)  all_56_4 = e1 | all_56_9 = e1
% 172.64/27.01  | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | | BETA: splitting (106) gives:
% 172.64/27.01  | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | | Case 1:
% 172.64/27.01  | | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | | |   (107)  all_56_4 = e1
% 172.64/27.01  | | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | | | COMBINE_EQS: (30), (107) imply:
% 172.64/27.01  | | | | | | | | | | | | |   (108)  all_52_8 = e1
% 172.64/27.01  | | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | | | REDUCE: (28), (108) imply:
% 172.64/27.01  | | | | | | | | | | | | |   (109)   ~ (all_52_9 = e1)
% 172.64/27.01  | | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | | | SIMP: (109) implies:
% 172.64/27.01  | | | | | | | | | | | | |   (110)   ~ (all_52_9 = e1)
% 172.64/27.01  | | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | | | BETA: splitting (102) gives:
% 172.64/27.01  | | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | | | Case 1:
% 172.64/27.01  | | | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | | | |   (111)  all_56_5 = e3
% 172.64/27.01  | | | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | | | | COMBINE_EQS: (6), (111) imply:
% 172.64/27.01  | | | | | | | | | | | | | |   (112)  all_52_9 = e3
% 172.64/27.01  | | | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | | | | REDUCE: (42), (112) imply:
% 172.64/27.01  | | | | | | | | | | | | | |   (113)  op(e2, e3) = all_58_6
% 172.64/27.01  | | | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | | | | REF_CLOSE: (7), (13), (38), (39), (113) are inconsistent by
% 172.64/27.01  | | | | | | | | | | | | | |            sub-proof #713.
% 172.64/27.01  | | | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | | | Case 2:
% 172.64/27.01  | | | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | | | |   (114)   ~ (all_56_5 = e3)
% 172.64/27.01  | | | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | | | | REDUCE: (6), (114) imply:
% 172.64/27.01  | | | | | | | | | | | | | |   (115)   ~ (all_52_9 = e3)
% 172.64/27.01  | | | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | | | | REF_CLOSE: (10), (37), (98), (110), (115) are inconsistent by
% 172.64/27.01  | | | | | | | | | | | | | |            sub-proof #883.
% 172.64/27.01  | | | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | | | End of split
% 172.64/27.01  | | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | | Case 2:
% 172.64/27.01  | | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | | |   (116)  all_56_9 = e1
% 172.64/27.01  | | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | | | COMBINE_EQS: (18), (116) imply:
% 172.64/27.01  | | | | | | | | | | | | |   (117)  e1 = e0
% 172.64/27.01  | | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | | | REDUCE: (58), (117) imply:
% 172.64/27.01  | | | | | | | | | | | | |   (118)  $false
% 172.64/27.01  | | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | | | CLOSE: (118) is inconsistent.
% 172.64/27.01  | | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | | End of split
% 172.64/27.01  | | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | | End of split
% 172.64/27.01  | | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | End of split
% 172.64/27.01  | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | Case 2:
% 172.64/27.01  | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | |   (119)  all_58_28 = e3
% 172.64/27.01  | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | COMBINE_EQS: (26), (119) imply:
% 172.64/27.01  | | | | | | | | | |   (120)  e3 = e0
% 172.64/27.01  | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | | REF_CLOSE: (41), (74), (81), (86), (91), (120) are
% 172.64/27.01  | | | | | | | | | |            inconsistent by sub-proof #649.
% 172.64/27.01  | | | | | | | | | | 
% 172.64/27.01  | | | | | | | | | End of split
% 172.64/27.01  | | | | | | | | | 
% 172.64/27.01  | | | | | | | | End of split
% 172.64/27.01  | | | | | | | | 
% 172.64/27.01  | | | | | | | End of split
% 172.64/27.01  | | | | | | | 
% 172.64/27.01  | | | | | | End of split
% 172.64/27.01  | | | | | | 
% 172.64/27.01  | | | | | End of split
% 172.64/27.01  | | | | | 
% 172.64/27.01  | | | | End of split
% 172.64/27.01  | | | | 
% 172.64/27.01  | | | End of split
% 172.64/27.01  | | | 
% 172.64/27.01  | | End of split
% 172.64/27.01  | | 
% 172.64/27.01  | Case 2:
% 172.64/27.01  | | 
% 172.64/27.01  | |   (121)  all_58_16 = e3 | all_58_17 = e2
% 172.64/27.01  | | 
% 172.64/27.01  | | REF_CLOSE: (21), (24), (32), (43), (121) are inconsistent by sub-proof #705.
% 172.64/27.01  | | 
% 172.64/27.01  | End of split
% 172.64/27.01  | 
% 172.64/27.01  End of proof
% 172.64/27.01  
% 172.64/27.01  Sub-proof #408 shows that the following formulas are inconsistent:
% 172.64/27.01  ----------------------------------------------------------------
% 172.64/27.01    (1)  all_56_12 = all_52_3
% 172.64/27.01    (2)  op(e1, e3) = all_52_2
% 172.64/27.01    (3)   ~ (e3 = e1)
% 172.64/27.01    (4)   ~ (all_52_2 = all_6_2)
% 172.64/27.01    (5)   ~ (all_52_3 = all_14_2)
% 172.64/27.01    (6)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.64/27.01    (7)  all_56_5 = all_52_9
% 172.64/27.01    (8)  op(e1, all_14_2) = all_14_0
% 172.64/27.01    (9)   ~ (all_52_12 = all_6_2)
% 172.64/27.01    (10)   ~ (all_14_2 = e0)
% 172.64/27.01    (11)   ~ (all_52_9 = all_4_2)
% 172.64/27.01    (12)  all_56_14 = all_52_11
% 172.64/27.01    (13)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.64/27.01    (14)  all_56_8 = all_10_2
% 172.64/27.01    (15)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.64/27.01    (16)  all_58_30 = e0
% 172.64/27.01    (17)   ~ (all_52_9 = e0)
% 172.64/27.01    (18)  all_58_26 = all_10_2
% 172.64/27.01    (19)  all_58_31 = all_14_2
% 172.64/27.01    (20)   ~ (all_52_11 = all_10_2)
% 172.64/27.01    (21)   ~ (all_52_9 = all_52_13)
% 172.64/27.01    (22)   ~ (all_52_3 = all_6_2)
% 172.64/27.01    (23)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.64/27.01    (24)  all_56_0 = all_6_2
% 172.64/27.01    (25)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.64/27.01    (26)  all_58_27 = all_52_11
% 172.64/27.01    (27)  all_58_19 = all_52_3
% 172.64/27.01    (28)   ~ (all_52_2 = all_52_6)
% 172.64/27.01    (29)  all_56_2 = e0
% 172.64/27.01    (30)  all_28_0 = all_14_0
% 172.64/27.01    (31)  all_56_4 = e0
% 172.64/27.01    (32)   ~ (e3 = e2)
% 172.64/27.01    (33)   ~ (e2 = e1)
% 172.64/27.01    (34)   ~ (all_52_6 = all_10_2)
% 172.64/27.01    (35)   ~ (all_52_2 = e0)
% 172.64/27.01    (36)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.64/27.01    (37)   ~ (all_52_13 = all_14_2)
% 172.64/27.01    (38)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.64/27.01    (39)  all_54_9 = all_52_6
% 172.64/27.01    (40)  all_58_18 = all_52_2
% 172.64/27.01    (41)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.64/27.01    (42)  all_58_16 = all_6_2
% 172.64/27.01    (43)   ~ (e3 = e0)
% 172.64/27.01    (44)  all_58_29 = all_52_13
% 172.64/27.01    (45)   ~ (all_52_13 = e0)
% 172.64/27.01    (46)   ~ (all_6_2 = e0)
% 172.64/27.01    (47)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.64/27.01    (48)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 172.64/27.01    (49)  all_54_15 = all_14_2
% 172.64/27.01    (50)  all_58_17 = e0
% 172.64/27.01    (51)  all_56_6 = all_52_2
% 172.64/27.01    (52)   ~ (all_52_9 = all_52_11)
% 172.64/27.01    (53)  all_54_0 = all_6_2
% 172.64/27.01    (54)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 172.64/27.01    (55)  all_58_24 = e0
% 172.64/27.01    (56)   ~ (all_52_11 = e0)
% 172.64/27.01    (57)   ~ (all_52_2 = all_52_3)
% 172.64/27.01    (58)  all_58_25 = all_52_9
% 172.64/27.01    (59)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 172.64/27.01    (60)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/27.01            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/27.01    (61)   ~ (all_52_6 = e0)
% 172.64/27.01    (62)  all_54_12 = all_52_3
% 172.64/27.01    (63)  all_58_21 = all_4_2
% 172.64/27.01    (64)   ~ (all_52_3 = e0)
% 172.64/27.01    (65)   ~ (e2 = e0)
% 172.64/27.01    (66)  all_58_28 = all_52_12
% 172.64/27.01    (67)  op(e1, all_52_6) = all_58_9
% 172.64/27.01    (68)   ~ (e1 = e0)
% 172.64/27.01    (69)  all_56_7 = all_52_6
% 172.64/27.01    (70)  all_28_2 = all_14_2
% 172.64/27.01    (71)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.64/27.01          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.64/27.01          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/27.01          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/27.01          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/27.01          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/27.01          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/27.01          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.64/27.01          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.64/27.01          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.64/27.01            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.64/27.01            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.64/27.01            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.64/27.01            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.64/27.01            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.64/27.01            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.64/27.01            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.64/27.01            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.64/27.01            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/27.01            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.64/27.01            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.64/27.01            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/27.01            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.64/27.01            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.64/27.01            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.64/27.01            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.64/27.01          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.64/27.01          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/27.01          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.64/27.01            all_58_30 = e0 & e1 = e0)
% 172.64/27.01    (72)  all_58_23 = e0
% 172.64/27.01    (73)   ~ (all_52_2 = all_10_2)
% 172.64/27.01    (74)   ~ (all_28_0 = e2) |  ~ (all_28_2 = e3)
% 172.64/27.01  
% 172.64/27.01  Begin of proof
% 172.64/27.01  | 
% 172.64/27.01  | BETA: splitting (48) gives:
% 172.64/27.01  | 
% 172.64/27.01  | Case 1:
% 172.64/27.01  | | 
% 172.64/27.01  | |   (75)  all_54_12 = e0
% 172.64/27.01  | | 
% 172.64/27.01  | | REF_CLOSE: (62), (64), (75) are inconsistent by sub-proof #559.
% 172.64/27.01  | | 
% 172.64/27.01  | Case 2:
% 172.64/27.01  | | 
% 172.64/27.01  | |   (76)   ~ (all_54_12 = e0)
% 172.64/27.01  | |   (77)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 172.64/27.01  | | 
% 172.64/27.01  | | BETA: splitting (59) gives:
% 172.64/27.01  | | 
% 172.64/27.01  | | Case 1:
% 172.64/27.01  | | | 
% 172.64/27.01  | | |   (78)  all_54_9 = e0
% 172.64/27.01  | | | 
% 172.64/27.01  | | | REF_CLOSE: (39), (61), (78) are inconsistent by sub-proof #903.
% 172.64/27.01  | | | 
% 172.64/27.01  | | Case 2:
% 172.64/27.01  | | | 
% 172.64/27.01  | | |   (79)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 172.64/27.01  | | | 
% 172.64/27.01  | | | BETA: splitting (25) gives:
% 172.64/27.01  | | | 
% 172.64/27.01  | | | Case 1:
% 172.64/27.01  | | | | 
% 172.64/27.01  | | | |   (80)  all_58_27 = e0
% 172.64/27.01  | | | | 
% 172.64/27.01  | | | | COMBINE_EQS: (26), (80) imply:
% 172.64/27.01  | | | |   (81)  all_52_11 = e0
% 172.64/27.01  | | | | 
% 172.64/27.01  | | | | REDUCE: (56), (81) imply:
% 172.64/27.01  | | | |   (82)  $false
% 172.64/27.01  | | | | 
% 172.64/27.01  | | | | CLOSE: (82) is inconsistent.
% 172.64/27.01  | | | | 
% 172.64/27.01  | | | Case 2:
% 172.64/27.01  | | | | 
% 172.64/27.01  | | | |   (83)   ~ (all_58_27 = e0)
% 172.64/27.01  | | | |   (84)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.64/27.01  | | | | 
% 172.64/27.01  | | | | BETA: splitting (6) gives:
% 172.64/27.01  | | | | 
% 172.64/27.01  | | | | Case 1:
% 172.64/27.01  | | | | | 
% 172.64/27.01  | | | | |   (85)  all_58_19 = e0
% 172.64/27.01  | | | | | 
% 172.64/27.01  | | | | | COMBINE_EQS: (27), (85) imply:
% 172.64/27.01  | | | | |   (86)  all_52_3 = e0
% 172.64/27.01  | | | | | 
% 172.64/27.01  | | | | | REDUCE: (64), (86) imply:
% 172.64/27.01  | | | | |   (87)  $false
% 172.64/27.01  | | | | | 
% 172.64/27.01  | | | | | CLOSE: (87) is inconsistent.
% 172.64/27.01  | | | | | 
% 172.64/27.01  | | | | Case 2:
% 172.64/27.01  | | | | | 
% 172.64/27.01  | | | | |   (88)   ~ (all_58_19 = e0)
% 172.64/27.01  | | | | |   (89)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.64/27.01  | | | | | 
% 172.64/27.01  | | | | | BETA: splitting (15) gives:
% 172.64/27.01  | | | | | 
% 172.64/27.01  | | | | | Case 1:
% 172.64/27.01  | | | | | | 
% 172.64/27.01  | | | | | |   (90)  all_58_31 = e0
% 172.64/27.01  | | | | | | 
% 172.64/27.01  | | | | | | COMBINE_EQS: (19), (90) imply:
% 172.64/27.01  | | | | | |   (91)  all_14_2 = e0
% 172.64/27.01  | | | | | | 
% 172.64/27.01  | | | | | | REDUCE: (10), (91) imply:
% 172.64/27.01  | | | | | |   (92)  $false
% 172.64/27.01  | | | | | | 
% 172.64/27.01  | | | | | | CLOSE: (92) is inconsistent.
% 172.64/27.01  | | | | | | 
% 172.64/27.01  | | | | | Case 2:
% 172.64/27.01  | | | | | | 
% 172.64/27.01  | | | | | |   (93)   ~ (all_58_31 = e0)
% 172.64/27.01  | | | | | |   (94)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.64/27.01  | | | | | | 
% 172.64/27.01  | | | | | | BETA: splitting (41) gives:
% 172.64/27.01  | | | | | | 
% 172.64/27.01  | | | | | | Case 1:
% 172.64/27.01  | | | | | | | 
% 172.64/27.01  | | | | | | |   (95)  all_56_0 = e2
% 172.64/27.01  | | | | | | | 
% 172.64/27.02  | | | | | | | REF_CLOSE: (1), (3), (4), (7), (10), (11), (12), (13), (14), (16),
% 172.64/27.02  | | | | | | |            (17), (18), (19), (20), (22), (24), (26), (27), (29),
% 172.64/27.02  | | | | | | |            (31), (32), (35), (40), (42), (43), (44), (45), (46),
% 172.64/27.02  | | | | | | |            (47), (50), (51), (52), (55), (56), (58), (63), (64),
% 172.64/27.02  | | | | | | |            (71), (72), (73), (84), (89), (95) are inconsistent by
% 172.64/27.02  | | | | | | |            sub-proof #413.
% 172.64/27.02  | | | | | | | 
% 172.64/27.02  | | | | | | Case 2:
% 172.64/27.02  | | | | | | | 
% 172.64/27.02  | | | | | | |   (96)   ~ (all_56_0 = e2)
% 172.64/27.02  | | | | | | |   (97)  all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.64/27.02  | | | | | | | 
% 172.64/27.02  | | | | | | | REDUCE: (24), (96) imply:
% 172.64/27.02  | | | | | | |   (98)   ~ (all_6_2 = e2)
% 172.64/27.02  | | | | | | | 
% 172.64/27.02  | | | | | | | BETA: splitting (97) gives:
% 172.64/27.02  | | | | | | | 
% 172.64/27.02  | | | | | | | Case 1:
% 172.64/27.02  | | | | | | | | 
% 172.64/27.02  | | | | | | | |   (99)  all_56_2 = e2
% 172.64/27.02  | | | | | | | | 
% 172.64/27.02  | | | | | | | | REF_CLOSE: (29), (65), (99) are inconsistent by sub-proof #443.
% 172.64/27.02  | | | | | | | | 
% 172.64/27.02  | | | | | | | Case 2:
% 172.64/27.02  | | | | | | | | 
% 172.64/27.02  | | | | | | | |   (100)   ~ (all_56_2 = e2)
% 172.64/27.02  | | | | | | | |   (101)  all_56_6 = e2 | all_56_12 = e2
% 172.64/27.02  | | | | | | | | 
% 172.64/27.02  | | | | | | | | REDUCE: (29), (100) imply:
% 172.64/27.02  | | | | | | | |   (102)   ~ (e2 = e0)
% 172.64/27.02  | | | | | | | | 
% 172.64/27.02  | | | | | | | | BETA: splitting (101) gives:
% 172.64/27.02  | | | | | | | | 
% 172.64/27.02  | | | | | | | | Case 1:
% 172.64/27.02  | | | | | | | | | 
% 172.64/27.02  | | | | | | | | |   (103)  all_56_6 = e2
% 172.64/27.02  | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | COMBINE_EQS: (51), (103) imply:
% 172.64/27.02  | | | | | | | | |   (104)  all_52_2 = e2
% 172.64/27.02  | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | SIMP: (104) implies:
% 172.64/27.02  | | | | | | | | |   (105)  all_52_2 = e2
% 172.64/27.02  | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | COMBINE_EQS: (40), (105) imply:
% 172.64/27.02  | | | | | | | | |   (106)  all_58_18 = e2
% 172.64/27.02  | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | REDUCE: (57), (105) imply:
% 172.64/27.02  | | | | | | | | |   (107)   ~ (all_52_3 = e2)
% 172.64/27.02  | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | SIMP: (107) implies:
% 172.64/27.02  | | | | | | | | |   (108)   ~ (all_52_3 = e2)
% 172.64/27.02  | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | REDUCE: (28), (105) imply:
% 172.64/27.02  | | | | | | | | |   (109)   ~ (all_52_6 = e2)
% 172.64/27.02  | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | SIMP: (109) implies:
% 172.64/27.02  | | | | | | | | |   (110)   ~ (all_52_6 = e2)
% 172.64/27.02  | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | REDUCE: (4), (105) imply:
% 172.64/27.02  | | | | | | | | |   (111)   ~ (all_6_2 = e2)
% 172.64/27.02  | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | REDUCE: (2), (105) imply:
% 172.64/27.02  | | | | | | | | |   (112)  op(e1, e3) = e2
% 172.64/27.02  | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | BETA: splitting (89) gives:
% 172.64/27.02  | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | Case 1:
% 172.64/27.02  | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | |   (113)  all_58_18 = e1
% 172.64/27.02  | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | REF_CLOSE: (33), (106), (113) are inconsistent by sub-proof
% 172.64/27.02  | | | | | | | | | |            #610.
% 172.64/27.02  | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | Case 2:
% 172.64/27.02  | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | |   (114)  all_58_16 = e3 | all_58_17 = e2
% 172.64/27.02  | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | BETA: splitting (114) gives:
% 172.64/27.02  | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | Case 1:
% 172.64/27.02  | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | |   (115)  all_58_17 = e2
% 172.64/27.02  | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | REF_CLOSE: (50), (65), (115) are inconsistent by sub-proof
% 172.64/27.02  | | | | | | | | | | |            #981.
% 172.64/27.02  | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | Case 2:
% 172.64/27.02  | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | |   (116)  all_58_16 = e3
% 172.64/27.02  | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | COMBINE_EQS: (42), (116) imply:
% 172.64/27.02  | | | | | | | | | | |   (117)  all_6_2 = e3
% 172.64/27.02  | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | REDUCE: (22), (117) imply:
% 172.64/27.02  | | | | | | | | | | |   (118)   ~ (all_52_3 = e3)
% 172.64/27.02  | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | REDUCE: (9), (117) imply:
% 172.64/27.02  | | | | | | | | | | |   (119)   ~ (all_52_12 = e3)
% 172.64/27.02  | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | BETA: splitting (94) gives:
% 172.64/27.02  | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | Case 1:
% 172.64/27.02  | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | |   (120)  all_58_30 = e1
% 172.64/27.02  | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | REF_CLOSE: (16), (68), (120) are inconsistent by sub-proof
% 172.64/27.02  | | | | | | | | | | | |            #838.
% 172.64/27.02  | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | Case 2:
% 172.64/27.02  | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | |   (121)  all_58_28 = e3 | all_58_29 = e2
% 172.64/27.02  | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | BETA: splitting (121) gives:
% 172.64/27.02  | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | Case 1:
% 172.64/27.02  | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | |   (122)  all_58_29 = e2
% 172.64/27.02  | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | COMBINE_EQS: (44), (122) imply:
% 172.64/27.02  | | | | | | | | | | | | |   (123)  all_52_13 = e2
% 172.64/27.02  | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | REDUCE: (21), (123) imply:
% 172.64/27.02  | | | | | | | | | | | | |   (124)   ~ (all_52_9 = e2)
% 172.64/27.02  | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | REDUCE: (37), (123) imply:
% 172.64/27.02  | | | | | | | | | | | | |   (125)   ~ (all_14_2 = e2)
% 172.64/27.02  | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | SIMP: (125) implies:
% 172.64/27.02  | | | | | | | | | | | | |   (126)   ~ (all_14_2 = e2)
% 172.64/27.02  | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | BETA: splitting (77) gives:
% 172.64/27.02  | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | Case 1:
% 172.64/27.02  | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | |   (127)  all_54_12 = e1
% 172.64/27.02  | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | COMBINE_EQS: (62), (127) imply:
% 172.64/27.02  | | | | | | | | | | | | | |   (128)  all_52_3 = e1
% 172.64/27.02  | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | REDUCE: (5), (128) imply:
% 172.64/27.02  | | | | | | | | | | | | | |   (129)   ~ (all_14_2 = e1)
% 172.64/27.02  | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | SIMP: (129) implies:
% 172.64/27.02  | | | | | | | | | | | | | |   (130)   ~ (all_14_2 = e1)
% 172.64/27.02  | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | BETA: splitting (54) gives:
% 172.64/27.02  | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | Case 1:
% 172.64/27.02  | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | |   (131)  all_54_15 = e1
% 172.64/27.02  | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | REF_CLOSE: (49), (130), (131) are inconsistent by sub-proof
% 172.64/27.02  | | | | | | | | | | | | | | |            #752.
% 172.64/27.02  | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | Case 2:
% 172.64/27.02  | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | |   (132)  all_54_15 = e3 | all_54_15 = e2
% 172.64/27.02  | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | BETA: splitting (84) gives:
% 172.64/27.02  | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | Case 1:
% 172.64/27.02  | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | |   (133)  all_58_26 = e1
% 172.64/27.02  | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | COMBINE_EQS: (18), (133) imply:
% 172.64/27.02  | | | | | | | | | | | | | | | |   (134)  all_10_2 = e1
% 172.64/27.02  | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | SIMP: (134) implies:
% 172.64/27.02  | | | | | | | | | | | | | | | |   (135)  all_10_2 = e1
% 172.64/27.02  | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | REDUCE: (34), (135) imply:
% 172.64/27.02  | | | | | | | | | | | | | | | |   (136)   ~ (all_52_6 = e1)
% 172.64/27.02  | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | BETA: splitting (23) gives:
% 172.64/27.02  | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | Case 1:
% 172.64/27.02  | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | |   (137)  all_56_6 = e3
% 172.64/27.02  | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | COMBINE_EQS: (103), (137) imply:
% 172.64/27.02  | | | | | | | | | | | | | | | | |   (138)  e3 = e2
% 172.64/27.02  | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (50), (65), (114), (116), (138) are
% 172.64/27.02  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #412.
% 172.64/27.02  | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | Case 2:
% 172.64/27.02  | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | |   (139)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.64/27.02  | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | BETA: splitting (139) gives:
% 172.64/27.02  | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | Case 1:
% 172.64/27.02  | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | |   (140)  all_56_7 = e3
% 172.64/27.02  | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (69), (140) imply:
% 172.64/27.02  | | | | | | | | | | | | | | | | | |   (141)  all_52_6 = e3
% 172.64/27.02  | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | REDUCE: (67), (141) imply:
% 172.64/27.02  | | | | | | | | | | | | | | | | | |   (142)  op(e1, e3) = all_58_9
% 172.64/27.02  | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | BETA: splitting (132) gives:
% 172.64/27.02  | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | |   (143)  all_54_15 = e2
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (126), (143) are inconsistent by sub-proof
% 172.64/27.02  | | | | | | | | | | | | | | | | | | |            #615.
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | |   (144)  all_54_15 = e3
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (49), (144) imply:
% 172.64/27.02  | | | | | | | | | | | | | | | | | | |   (145)  all_14_2 = e3
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | SIMP: (145) implies:
% 172.64/27.02  | | | | | | | | | | | | | | | | | | |   (146)  all_14_2 = e3
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (70), (146) imply:
% 172.64/27.02  | | | | | | | | | | | | | | | | | | |   (147)  all_28_2 = e3
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | REDUCE: (8), (146) imply:
% 172.64/27.02  | | | | | | | | | | | | | | | | | | |   (148)  op(e1, e3) = all_14_0
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | BETA: splitting (74) gives:
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | Case 1:
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | |   (149)   ~ (all_28_0 = e2)
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (149) imply:
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | |   (150)   ~ (all_14_0 = e2)
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with all_14_0, all_58_9, e3,
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | |              e1, simplifying with (142), (148) gives:
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | |   (151)  all_58_9 = all_14_0
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e2, all_58_9, e3, e1,
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | |              simplifying with (112), (142) gives:
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | |   (152)  all_58_9 = e2
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (151), (152) imply:
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | |   (153)  all_14_0 = e2
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | | SIMP: (153) implies:
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | |   (154)  all_14_0 = e2
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (154) imply:
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | |   (155)  $false
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | | CLOSE: (155) is inconsistent.
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | Case 2:
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | |   (156)   ~ (all_28_2 = e3)
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (156) imply:
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | |   (157)  $false
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | | CLOSE: (157) is inconsistent.
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | End of split
% 172.64/27.02  | | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | End of split
% 172.64/27.02  | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | Case 2:
% 172.64/27.02  | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | |   (158)   ~ (all_56_7 = e3)
% 172.64/27.02  | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | REDUCE: (69), (158) imply:
% 172.64/27.02  | | | | | | | | | | | | | | | | | |   (159)   ~ (all_52_6 = e3)
% 172.64/27.02  | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (79), (110), (136), (159) are inconsistent
% 172.64/27.02  | | | | | | | | | | | | | | | | | |            by sub-proof #861.
% 172.64/27.02  | | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | | End of split
% 172.64/27.02  | | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | End of split
% 172.64/27.02  | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | Case 2:
% 172.64/27.02  | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | |   (160)  all_58_24 = e3 | all_58_25 = e2
% 172.64/27.02  | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | | REF_CLOSE: (43), (55), (58), (124), (160) are inconsistent by
% 172.64/27.02  | | | | | | | | | | | | | | | |            sub-proof #921.
% 172.64/27.02  | | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | | End of split
% 172.64/27.02  | | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | End of split
% 172.64/27.02  | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | Case 2:
% 172.64/27.02  | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | |   (161)  all_54_12 = e3 | all_54_12 = e2
% 172.64/27.02  | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | | REF_CLOSE: (62), (108), (118), (161) are inconsistent by
% 172.64/27.02  | | | | | | | | | | | | | |            sub-proof #411.
% 172.64/27.02  | | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | End of split
% 172.64/27.02  | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | Case 2:
% 172.64/27.02  | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | |   (162)  all_58_28 = e3
% 172.64/27.02  | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | COMBINE_EQS: (66), (162) imply:
% 172.64/27.02  | | | | | | | | | | | | |   (163)  all_52_12 = e3
% 172.64/27.02  | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | REDUCE: (119), (163) imply:
% 172.64/27.02  | | | | | | | | | | | | |   (164)  $false
% 172.64/27.02  | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | | CLOSE: (164) is inconsistent.
% 172.64/27.02  | | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | | End of split
% 172.64/27.02  | | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | | End of split
% 172.64/27.02  | | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | | End of split
% 172.64/27.02  | | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | End of split
% 172.64/27.02  | | | | | | | | | 
% 172.64/27.02  | | | | | | | | Case 2:
% 172.64/27.02  | | | | | | | | | 
% 172.64/27.02  | | | | | | | | |   (165)  all_56_12 = e2
% 172.64/27.02  | | | | | | | | | 
% 172.64/27.02  | | | | | | | | | REF_CLOSE: (3), (4), (6), (9), (16), (18), (21), (24), (27),
% 172.64/27.02  | | | | | | | | |            (29), (33), (36), (38), (40), (42), (44), (46),
% 172.64/27.02  | | | | | | | | |            (50), (51), (53), (55), (58), (64), (65), (66),
% 172.64/27.02  | | | | | | | | |            (68), (73), (84), (94), (98), (165) are
% 172.64/27.02  | | | | | | | | |            inconsistent by sub-proof #409.
% 172.64/27.02  | | | | | | | | | 
% 172.64/27.02  | | | | | | | | End of split
% 172.64/27.02  | | | | | | | | 
% 172.64/27.02  | | | | | | | End of split
% 172.64/27.02  | | | | | | | 
% 172.64/27.02  | | | | | | End of split
% 172.64/27.02  | | | | | | 
% 172.64/27.02  | | | | | End of split
% 172.64/27.02  | | | | | 
% 172.64/27.02  | | | | End of split
% 172.64/27.02  | | | | 
% 172.64/27.02  | | | End of split
% 172.64/27.02  | | | 
% 172.64/27.02  | | End of split
% 172.64/27.02  | | 
% 172.64/27.02  | End of split
% 172.64/27.02  | 
% 172.64/27.02  End of proof
% 172.64/27.02  
% 172.64/27.02  Sub-proof #409 shows that the following formulas are inconsistent:
% 172.64/27.02  ----------------------------------------------------------------
% 172.64/27.02    (1)   ~ (e3 = e1)
% 172.64/27.02    (2)   ~ (all_52_2 = all_6_2)
% 172.64/27.02    (3)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.64/27.02    (4)  all_56_12 = e2
% 172.64/27.02    (5)   ~ (all_52_12 = all_6_2)
% 172.64/27.02    (6)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 172.64/27.02    (7)  all_58_30 = e0
% 172.64/27.02    (8)  all_58_26 = all_10_2
% 172.64/27.02    (9)   ~ (all_52_9 = all_52_13)
% 172.64/27.02    (10)  all_56_0 = all_6_2
% 172.64/27.02    (11)  all_58_19 = all_52_3
% 172.64/27.02    (12)  all_56_2 = e0
% 172.64/27.02    (13)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.64/27.02    (14)   ~ (e2 = e1)
% 172.64/27.02    (15)   ~ (all_6_2 = e2)
% 172.64/27.02    (16)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.64/27.02    (17)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.64/27.02    (18)  all_58_18 = all_52_2
% 172.64/27.02    (19)  all_58_16 = all_6_2
% 172.64/27.02    (20)  all_58_29 = all_52_13
% 172.64/27.02    (21)   ~ (all_6_2 = e0)
% 172.64/27.02    (22)  all_58_17 = e0
% 172.64/27.02    (23)  all_56_6 = all_52_2
% 172.64/27.02    (24)  all_54_0 = all_6_2
% 172.64/27.02    (25)  all_58_24 = e0
% 172.64/27.02    (26)  all_58_25 = all_52_9
% 172.64/27.02    (27)   ~ (all_52_3 = e0)
% 172.64/27.02    (28)   ~ (e2 = e0)
% 172.64/27.02    (29)  all_58_28 = all_52_12
% 172.64/27.02    (30)   ~ (e1 = e0)
% 172.64/27.02    (31)   ~ (all_52_2 = all_10_2)
% 172.64/27.02  
% 172.64/27.02  Begin of proof
% 172.64/27.02  | 
% 172.64/27.02  | BETA: splitting (17) gives:
% 172.64/27.02  | 
% 172.64/27.02  | Case 1:
% 172.64/27.02  | | 
% 172.64/27.02  | |   (32)  all_56_0 = e1
% 172.64/27.02  | | 
% 172.64/27.02  | | COMBINE_EQS: (10), (32) imply:
% 172.64/27.02  | |   (33)  all_6_2 = e1
% 172.64/27.02  | | 
% 172.64/27.02  | | REF_CLOSE: (1), (2), (3), (11), (18), (19), (22), (27), (28), (33) are
% 172.64/27.02  | |            inconsistent by sub-proof #936.
% 172.64/27.02  | | 
% 172.64/27.02  | Case 2:
% 172.64/27.02  | | 
% 172.64/27.02  | |   (34)   ~ (all_56_0 = e1)
% 172.64/27.02  | |   (35)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.64/27.02  | | 
% 172.64/27.02  | | REDUCE: (10), (34) imply:
% 172.64/27.02  | |   (36)   ~ (all_6_2 = e1)
% 172.64/27.02  | | 
% 172.64/27.02  | | BETA: splitting (35) gives:
% 172.64/27.02  | | 
% 172.64/27.02  | | Case 1:
% 172.64/27.02  | | | 
% 172.64/27.02  | | |   (37)  all_56_2 = e1
% 172.64/27.02  | | | 
% 172.64/27.02  | | | REF_CLOSE: (12), (30), (37) are inconsistent by sub-proof #935.
% 172.64/27.02  | | | 
% 172.64/27.02  | | Case 2:
% 172.64/27.02  | | | 
% 172.64/27.02  | | |   (38)   ~ (all_56_2 = e1)
% 172.64/27.02  | | |   (39)  all_56_6 = e1 | all_56_12 = e1
% 172.64/27.02  | | | 
% 172.64/27.02  | | | REDUCE: (12), (38) imply:
% 172.64/27.02  | | |   (40)   ~ (e1 = e0)
% 172.64/27.02  | | | 
% 172.64/27.02  | | | BETA: splitting (16) gives:
% 172.64/27.02  | | | 
% 172.64/27.02  | | | Case 1:
% 172.64/27.02  | | | | 
% 172.64/27.02  | | | |   (41)  all_54_0 = e1
% 172.64/27.02  | | | | 
% 172.64/27.02  | | | | REF_CLOSE: (24), (36), (41) are inconsistent by sub-proof #951.
% 172.64/27.02  | | | | 
% 172.64/27.02  | | | Case 2:
% 172.64/27.02  | | | | 
% 172.64/27.02  | | | |   (42)  all_54_0 = e3 | all_54_0 = e2
% 172.64/27.02  | | | | 
% 172.64/27.02  | | | | BETA: splitting (42) gives:
% 172.64/27.02  | | | | 
% 172.64/27.02  | | | | Case 1:
% 172.64/27.02  | | | | | 
% 172.64/27.02  | | | | |   (43)  all_54_0 = e2
% 172.64/27.02  | | | | | 
% 172.64/27.02  | | | | | REF_CLOSE: (15), (24), (43) are inconsistent by sub-proof #946.
% 172.64/27.02  | | | | | 
% 172.64/27.02  | | | | Case 2:
% 172.64/27.02  | | | | | 
% 172.64/27.02  | | | | |   (44)  all_54_0 = e3
% 172.64/27.02  | | | | | 
% 172.64/27.02  | | | | | COMBINE_EQS: (24), (44) imply:
% 172.64/27.02  | | | | |   (45)  all_6_2 = e3
% 172.64/27.02  | | | | | 
% 172.64/27.02  | | | | | SIMP: (45) implies:
% 172.64/27.02  | | | | |   (46)  all_6_2 = e3
% 172.64/27.02  | | | | | 
% 172.64/27.02  | | | | | REDUCE: (5), (46) imply:
% 172.64/27.02  | | | | |   (47)   ~ (all_52_12 = e3)
% 172.64/27.02  | | | | | 
% 172.64/27.02  | | | | | REDUCE: (21), (46) imply:
% 172.64/27.02  | | | | |   (48)   ~ (e3 = e0)
% 172.64/27.02  | | | | | 
% 172.64/27.02  | | | | | BETA: splitting (6) gives:
% 172.64/27.02  | | | | | 
% 172.64/27.02  | | | | | Case 1:
% 172.64/27.02  | | | | | | 
% 172.64/27.02  | | | | | |   (49)  all_58_30 = e1
% 172.64/27.02  | | | | | | 
% 172.64/27.02  | | | | | | REF_CLOSE: (7), (30), (49) are inconsistent by sub-proof #838.
% 172.64/27.02  | | | | | | 
% 172.64/27.02  | | | | | Case 2:
% 172.64/27.02  | | | | | | 
% 172.64/27.02  | | | | | |   (50)  all_58_28 = e3 | all_58_29 = e2
% 172.64/27.02  | | | | | | 
% 172.64/27.02  | | | | | | BETA: splitting (39) gives:
% 172.64/27.02  | | | | | | 
% 172.64/27.02  | | | | | | Case 1:
% 172.64/27.02  | | | | | | | 
% 172.64/27.02  | | | | | | |   (51)  all_56_6 = e1
% 172.64/27.02  | | | | | | | 
% 172.64/27.02  | | | | | | | COMBINE_EQS: (23), (51) imply:
% 172.64/27.02  | | | | | | |   (52)  all_52_2 = e1
% 172.64/27.02  | | | | | | | 
% 172.64/27.02  | | | | | | | SIMP: (52) implies:
% 172.64/27.02  | | | | | | |   (53)  all_52_2 = e1
% 172.64/27.02  | | | | | | | 
% 172.64/27.02  | | | | | | | REDUCE: (31), (53) imply:
% 172.64/27.02  | | | | | | |   (54)   ~ (all_10_2 = e1)
% 172.64/27.02  | | | | | | | 
% 172.64/27.02  | | | | | | | SIMP: (54) implies:
% 172.64/27.02  | | | | | | |   (55)   ~ (all_10_2 = e1)
% 172.64/27.02  | | | | | | | 
% 172.64/27.02  | | | | | | | REF_CLOSE: (8), (9), (13), (20), (25), (26), (29), (47), (48),
% 172.64/27.02  | | | | | | |            (50), (55) are inconsistent by sub-proof #624.
% 172.64/27.02  | | | | | | | 
% 172.64/27.02  | | | | | | Case 2:
% 172.64/27.02  | | | | | | | 
% 172.64/27.02  | | | | | | |   (56)  all_56_12 = e1
% 172.64/27.02  | | | | | | | 
% 172.64/27.02  | | | | | | | REF_CLOSE: (4), (14), (56) are inconsistent by sub-proof #410.
% 172.64/27.02  | | | | | | | 
% 172.64/27.02  | | | | | | End of split
% 172.64/27.02  | | | | | | 
% 172.64/27.02  | | | | | End of split
% 172.64/27.02  | | | | | 
% 172.64/27.02  | | | | End of split
% 172.64/27.02  | | | | 
% 172.64/27.02  | | | End of split
% 172.64/27.02  | | | 
% 172.64/27.02  | | End of split
% 172.64/27.02  | | 
% 172.64/27.02  | End of split
% 172.64/27.02  | 
% 172.64/27.02  End of proof
% 172.64/27.02  
% 172.64/27.02  Sub-proof #410 shows that the following formulas are inconsistent:
% 172.64/27.02  ----------------------------------------------------------------
% 172.64/27.02    (1)  all_56_12 = e2
% 172.64/27.02    (2)  all_56_12 = e1
% 172.64/27.02    (3)   ~ (e2 = e1)
% 172.64/27.02  
% 172.64/27.02  Begin of proof
% 172.64/27.02  | 
% 172.64/27.02  | COMBINE_EQS: (1), (2) imply:
% 172.64/27.02  |   (4)  e2 = e1
% 172.64/27.02  | 
% 172.64/27.02  | SIMP: (4) implies:
% 172.64/27.02  |   (5)  e2 = e1
% 172.64/27.02  | 
% 172.64/27.02  | REDUCE: (3), (5) imply:
% 172.64/27.02  |   (6)  $false
% 172.64/27.02  | 
% 172.64/27.02  | CLOSE: (6) is inconsistent.
% 172.64/27.02  | 
% 172.64/27.02  End of proof
% 172.64/27.02  
% 172.64/27.02  Sub-proof #411 shows that the following formulas are inconsistent:
% 172.64/27.02  ----------------------------------------------------------------
% 172.64/27.02    (1)  all_54_12 = e3 | all_54_12 = e2
% 172.64/27.02    (2)  all_54_12 = all_52_3
% 172.64/27.02    (3)   ~ (all_52_3 = e2)
% 172.64/27.02    (4)   ~ (all_52_3 = e3)
% 172.64/27.02  
% 172.64/27.02  Begin of proof
% 172.64/27.02  | 
% 172.64/27.02  | BETA: splitting (1) gives:
% 172.64/27.02  | 
% 172.64/27.02  | Case 1:
% 172.64/27.02  | | 
% 172.64/27.02  | |   (5)  all_54_12 = e2
% 172.64/27.02  | | 
% 172.64/27.02  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #811.
% 172.64/27.02  | | 
% 172.64/27.02  | Case 2:
% 172.64/27.02  | | 
% 172.64/27.02  | |   (6)  all_54_12 = e3
% 172.64/27.02  | | 
% 172.64/27.02  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #810.
% 172.64/27.02  | | 
% 172.64/27.02  | End of split
% 172.64/27.02  | 
% 172.64/27.02  End of proof
% 172.64/27.02  
% 172.64/27.02  Sub-proof #412 shows that the following formulas are inconsistent:
% 172.64/27.02  ----------------------------------------------------------------
% 172.64/27.02    (1)  e3 = e2
% 172.64/27.02    (2)   ~ (e3 = e2)
% 172.64/27.02    (3)  all_58_16 = e3
% 172.64/27.02    (4)  all_58_17 = e0
% 172.64/27.02    (5)  all_58_16 = e3 | all_58_17 = e2
% 172.64/27.02    (6)   ~ (e2 = e0)
% 172.64/27.02  
% 172.64/27.02  Begin of proof
% 172.64/27.02  | 
% 172.64/27.02  | SIMP: (1) implies:
% 172.64/27.02  |   (7)  e3 = e2
% 172.64/27.02  | 
% 172.64/27.02  | COMBINE_EQS: (3), (7) imply:
% 172.64/27.02  |   (8)  all_58_16 = e2
% 172.64/27.02  | 
% 172.64/27.02  | REF_CLOSE: (2), (4), (5), (6), (8) are inconsistent by sub-proof #705.
% 172.64/27.02  | 
% 172.64/27.02  End of proof
% 172.64/27.02  
% 172.64/27.02  Sub-proof #413 shows that the following formulas are inconsistent:
% 172.64/27.02  ----------------------------------------------------------------
% 172.64/27.02    (1)  all_56_12 = all_52_3
% 172.64/27.02    (2)   ~ (e3 = e1)
% 172.64/27.02    (3)   ~ (all_52_2 = all_6_2)
% 172.64/27.02    (4)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 172.64/27.02    (5)  all_56_5 = all_52_9
% 172.64/27.02    (6)   ~ (all_14_2 = e0)
% 172.64/27.02    (7)   ~ (all_52_9 = all_4_2)
% 172.64/27.02    (8)  all_56_14 = all_52_11
% 172.64/27.02    (9)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.64/27.02    (10)  all_56_8 = all_10_2
% 172.64/27.02    (11)  all_58_30 = e0
% 172.64/27.02    (12)   ~ (all_52_9 = e0)
% 172.64/27.02    (13)  all_58_26 = all_10_2
% 172.64/27.02    (14)  all_58_31 = all_14_2
% 172.64/27.02    (15)   ~ (all_52_11 = all_10_2)
% 172.64/27.02    (16)   ~ (all_52_3 = all_6_2)
% 172.64/27.02    (17)  all_56_0 = all_6_2
% 172.64/27.02    (18)  all_58_27 = all_52_11
% 172.64/27.02    (19)  all_58_19 = all_52_3
% 172.64/27.02    (20)  all_56_2 = e0
% 172.64/27.02    (21)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 172.64/27.02    (22)  all_56_4 = e0
% 172.64/27.02    (23)   ~ (e3 = e2)
% 172.64/27.02    (24)   ~ (all_52_2 = e0)
% 172.64/27.02    (25)  all_58_18 = all_52_2
% 172.64/27.02    (26)  all_58_16 = all_6_2
% 172.64/27.02    (27)   ~ (e3 = e0)
% 172.64/27.02    (28)  all_58_29 = all_52_13
% 172.64/27.02    (29)   ~ (all_52_13 = e0)
% 172.64/27.02    (30)   ~ (all_6_2 = e0)
% 172.64/27.02    (31)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 172.64/27.02    (32)  all_58_17 = e0
% 172.64/27.02    (33)  all_56_0 = e2
% 172.64/27.02    (34)  all_56_6 = all_52_2
% 172.64/27.02    (35)   ~ (all_52_9 = all_52_11)
% 172.64/27.02    (36)  all_58_24 = e0
% 172.64/27.02    (37)   ~ (all_52_11 = e0)
% 172.64/27.02    (38)  all_58_25 = all_52_9
% 172.64/27.02    (39)  all_58_21 = all_4_2
% 172.64/27.02    (40)   ~ (all_52_3 = e0)
% 172.64/27.02    (41)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.64/27.02          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.64/27.02          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/27.02          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/27.02          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/27.02          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/27.02          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/27.02          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.64/27.02          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.64/27.02          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.64/27.02            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.64/27.02            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.64/27.02            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.64/27.02            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.64/27.02            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.64/27.02            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.64/27.02            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.64/27.02            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.64/27.02            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/27.02            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.64/27.02            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 172.64/27.02            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 172.64/27.02            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 172.64/27.02            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 172.64/27.02            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 172.64/27.02            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 172.64/27.02          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 172.64/27.02          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 172.64/27.02          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 172.64/27.02            all_58_30 = e0 & e1 = e0)
% 172.64/27.02    (42)  all_58_23 = e0
% 172.64/27.02    (43)   ~ (all_52_2 = all_10_2)
% 172.64/27.02  
% 172.64/27.02  Begin of proof
% 172.64/27.02  | 
% 172.64/27.02  | COMBINE_EQS: (17), (33) imply:
% 172.64/27.02  |   (44)  all_6_2 = e2
% 172.64/27.02  | 
% 172.64/27.02  | COMBINE_EQS: (26), (44) imply:
% 172.64/27.02  |   (45)  all_58_16 = e2
% 172.64/27.02  | 
% 172.64/27.02  | REDUCE: (3), (44) imply:
% 172.64/27.02  |   (46)   ~ (all_52_2 = e2)
% 172.64/27.02  | 
% 172.64/27.02  | REDUCE: (16), (44) imply:
% 172.64/27.02  |   (47)   ~ (all_52_3 = e2)
% 172.64/27.02  | 
% 172.64/27.02  | REDUCE: (30), (44) imply:
% 172.64/27.02  |   (48)   ~ (e2 = e0)
% 172.64/27.02  | 
% 172.64/27.02  | BETA: splitting (4) gives:
% 172.64/27.02  | 
% 172.64/27.02  | Case 1:
% 172.64/27.02  | | 
% 172.64/27.02  | |   (49)  all_58_18 = e1
% 172.64/27.02  | | 
% 172.64/27.02  | | COMBINE_EQS: (25), (49) imply:
% 172.64/27.02  | |   (50)  all_52_2 = e1
% 172.64/27.02  | | 
% 172.64/27.02  | | SIMP: (50) implies:
% 172.64/27.02  | |   (51)  all_52_2 = e1
% 172.64/27.02  | | 
% 172.64/27.02  | | COMBINE_EQS: (34), (51) imply:
% 172.64/27.02  | |   (52)  all_56_6 = e1
% 172.64/27.02  | | 
% 172.64/27.02  | | REDUCE: (43), (51) imply:
% 172.64/27.02  | |   (53)   ~ (all_10_2 = e1)
% 172.64/27.02  | | 
% 172.64/27.02  | | SIMP: (53) implies:
% 172.64/27.02  | |   (54)   ~ (all_10_2 = e1)
% 172.64/27.02  | | 
% 172.64/27.02  | | REDUCE: (46), (51) imply:
% 172.64/27.02  | |   (55)   ~ (e2 = e1)
% 172.64/27.02  | | 
% 172.64/27.02  | | SIMP: (55) implies:
% 172.64/27.02  | |   (56)   ~ (e2 = e1)
% 172.64/27.02  | | 
% 172.64/27.02  | | REDUCE: (24), (51) imply:
% 172.64/27.02  | |   (57)   ~ (e1 = e0)
% 172.64/27.02  | | 
% 172.64/27.02  | | BETA: splitting (9) gives:
% 172.64/27.02  | | 
% 172.64/27.02  | | Case 1:
% 172.64/27.02  | | | 
% 172.64/27.02  | | |   (58)  all_56_0 = e3
% 172.64/27.02  | | | 
% 172.64/27.02  | | | COMBINE_EQS: (33), (58) imply:
% 172.64/27.02  | | |   (59)  e3 = e2
% 172.64/27.02  | | | 
% 172.64/27.02  | | | REDUCE: (23), (59) imply:
% 172.64/27.02  | | |   (60)  $false
% 172.64/27.02  | | | 
% 172.64/27.02  | | | CLOSE: (60) is inconsistent.
% 172.64/27.02  | | | 
% 172.64/27.02  | | Case 2:
% 172.64/27.02  | | | 
% 172.64/27.02  | | |   (61)  all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 172.64/27.02  | | | 
% 172.64/27.02  | | | BETA: splitting (61) gives:
% 172.64/27.02  | | | 
% 172.64/27.02  | | | Case 1:
% 172.64/27.02  | | | | 
% 172.64/27.02  | | | |   (62)  all_56_2 = e3
% 172.64/27.02  | | | | 
% 172.64/27.02  | | | | COMBINE_EQS: (20), (62) imply:
% 172.64/27.02  | | | |   (63)  e3 = e0
% 172.64/27.02  | | | | 
% 172.64/27.02  | | | | REDUCE: (27), (63) imply:
% 172.64/27.02  | | | |   (64)  $false
% 172.64/27.02  | | | | 
% 172.64/27.02  | | | | CLOSE: (64) is inconsistent.
% 172.64/27.02  | | | | 
% 172.64/27.02  | | | Case 2:
% 172.64/27.02  | | | | 
% 172.64/27.02  | | | |   (65)  all_56_6 = e3 | all_56_12 = e3
% 172.64/27.02  | | | | 
% 172.64/27.02  | | | | BETA: splitting (65) gives:
% 172.64/27.02  | | | | 
% 172.64/27.02  | | | | Case 1:
% 172.64/27.02  | | | | | 
% 172.64/27.02  | | | | |   (66)  all_56_6 = e3
% 172.64/27.02  | | | | | 
% 172.64/27.02  | | | | | COMBINE_EQS: (52), (66) imply:
% 172.64/27.02  | | | | |   (67)  e3 = e1
% 172.64/27.02  | | | | | 
% 172.64/27.02  | | | | | REDUCE: (2), (67) imply:
% 172.64/27.02  | | | | |   (68)  $false
% 172.64/27.02  | | | | | 
% 172.64/27.02  | | | | | CLOSE: (68) is inconsistent.
% 172.64/27.02  | | | | | 
% 172.64/27.02  | | | | Case 2:
% 172.64/27.02  | | | | | 
% 172.64/27.02  | | | | |   (69)  all_56_12 = e3
% 172.64/27.02  | | | | | 
% 172.64/27.02  | | | | | COMBINE_EQS: (1), (69) imply:
% 172.64/27.02  | | | | |   (70)  all_52_3 = e3
% 172.64/27.02  | | | | | 
% 172.64/27.02  | | | | | SIMP: (70) implies:
% 172.64/27.02  | | | | |   (71)  all_52_3 = e3
% 172.64/27.02  | | | | | 
% 172.64/27.02  | | | | | COMBINE_EQS: (19), (71) imply:
% 172.64/27.02  | | | | |   (72)  all_58_19 = e3
% 172.64/27.02  | | | | | 
% 172.64/27.02  | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (10), (11), (12), (13), (14),
% 172.64/27.02  | | | | |            (15), (18), (21), (22), (23), (27), (28), (29), (31), (32),
% 172.64/27.02  | | | | |            (35), (36), (37), (38), (39), (41), (42), (45), (49), (54),
% 172.64/27.02  | | | | |            (56), (57), (72) are inconsistent by sub-proof #816.
% 172.64/27.02  | | | | | 
% 172.64/27.02  | | | | End of split
% 172.64/27.02  | | | | 
% 172.64/27.02  | | | End of split
% 172.64/27.02  | | | 
% 172.64/27.02  | | End of split
% 172.64/27.02  | | 
% 172.64/27.02  | Case 2:
% 172.64/27.02  | | 
% 172.64/27.02  | |   (73)  all_58_16 = e3 | all_58_17 = e2
% 172.64/27.02  | | 
% 172.64/27.02  | | REF_CLOSE: (23), (32), (45), (48), (73) are inconsistent by sub-proof #705.
% 172.64/27.02  | | 
% 172.64/27.02  | End of split
% 172.64/27.02  | 
% 172.64/27.02  End of proof
% 172.64/27.02  
% 172.64/27.02  Sub-proof #414 shows that the following formulas are inconsistent:
% 172.64/27.02  ----------------------------------------------------------------
% 172.64/27.02    (1)  all_56_11 = all_52_14
% 172.64/27.02    (2)   ~ (all_52_13 = e0)
% 172.64/27.02    (3)  all_56_10 = all_52_13
% 172.64/27.02    (4)   ~ (all_52_14 = e0)
% 172.64/27.02    (5)  all_56_10 = e0 | all_56_11 = e0
% 172.64/27.02  
% 172.64/27.02  Begin of proof
% 172.64/27.02  | 
% 172.64/27.02  | BETA: splitting (5) gives:
% 172.64/27.02  | 
% 172.64/27.02  | Case 1:
% 172.64/27.02  | | 
% 172.64/27.02  | |   (6)  all_56_10 = e0
% 172.64/27.02  | | 
% 172.64/27.02  | | REF_CLOSE: (2), (3), (6) are inconsistent by sub-proof #943.
% 172.64/27.02  | | 
% 172.64/27.02  | Case 2:
% 172.64/27.02  | | 
% 172.64/27.02  | |   (7)  all_56_11 = e0
% 172.64/27.02  | | 
% 172.64/27.02  | | REF_CLOSE: (1), (4), (7) are inconsistent by sub-proof #873.
% 172.64/27.02  | | 
% 172.64/27.02  | End of split
% 172.64/27.02  | 
% 172.64/27.02  End of proof
% 172.64/27.02  
% 172.64/27.02  Sub-proof #415 shows that the following formulas are inconsistent:
% 172.64/27.02  ----------------------------------------------------------------
% 172.64/27.02    (1)  all_56_1 = all_52_4
% 172.64/27.02    (2)   ~ (e3 = e1)
% 172.64/27.02    (3)   ~ (all_52_4 = all_4_2)
% 172.64/27.02    (4)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 172.64/27.02    (5)   ~ (all_52_6 = all_4_2)
% 172.64/27.02    (6)  op(e1, e0) = all_52_14
% 172.64/27.02    (7)  all_56_15 = all_14_2
% 172.64/27.02    (8)  all_54_1 = all_52_4
% 172.64/27.02    (9)   ~ (all_14_2 = e0)
% 172.64/27.02    (10)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 172.64/27.02    (11)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 172.64/27.02    (12)  all_58_26 = all_10_2
% 172.64/27.02    (13)   ~ (all_52_4 = all_52_6)
% 172.64/27.02    (14)  all_58_31 = all_14_2
% 172.64/27.02    (15)   ~ (all_52_3 = all_6_2)
% 172.64/27.02    (16)  all_58_25 = e0
% 172.64/27.02    (17)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 172.64/27.02    (18)   ~ (all_52_4 = e0)
% 172.64/27.02    (19)  all_56_9 = e0
% 172.64/27.02    (20)  all_58_18 = e0
% 172.64/27.02    (21)   ~ (all_52_1 = all_6_2)
% 172.64/27.02    (22)  all_54_2 = all_52_8
% 172.64/27.02    (23)  all_56_11 = all_52_14
% 172.64/27.02    (24)  all_56_0 = all_6_2
% 172.64/27.02    (25)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 172.64/27.02    (26)  all_58_30 = all_52_14
% 172.64/27.02    (27)  all_58_27 = all_52_11
% 172.64/27.02    (28)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 172.64/27.02    (29)  all_58_17 = all_52_1
% 172.64/27.02    (30)  all_58_19 = all_52_3
% 172.64/27.02    (31)  op(all_14_2, e0) = e1
% 172.64/27.02    (32)   ~ (e3 = e2)
% 172.64/27.02    (33)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 172.64/27.02    (34)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 172.64/27.02    (35)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 172.64/27.02    (36)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 172.64/27.02    (37)   ~ (all_52_13 = all_14_2)
% 172.64/27.02    (38)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 172.64/27.02    (39)  all_58_28 = e0
% 172.64/27.02    (40)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 172.64/27.02    (41)  all_54_9 = all_52_6
% 172.64/27.02    (42)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 172.64/27.02    (43)   ~ (all_52_13 = all_52_14)
% 172.64/27.02    (44)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 172.64/27.02    (45)  all_58_16 = all_6_2
% 172.64/27.02    (46)   ~ (all_52_8 = all_52_9)
% 172.64/27.02    (47)   ~ (all_52_4 = all_6_2)
% 172.64/27.02    (48)   ~ (e3 = e0)
% 172.64/27.03    (49)  all_58_29 = all_52_13
% 172.64/27.03    (50)   ~ (all_52_13 = e0)
% 172.64/27.03    (51)   ~ (all_4_2 = e0)
% 172.64/27.03    (52)   ~ (all_6_2 = e0)
% 172.64/27.03    (53)   ~ (all_52_6 = all_52_14)
% 172.64/27.03    (54)   ~ (all_52_8 = all_10_2)
% 172.64/27.03    (55)  all_56_4 = all_52_8
% 172.64/27.03    (56)   ~ (all_52_1 = all_52_13)
% 172.64/27.03    (57)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 172.64/27.03    (58)  all_54_15 = all_14_2
% 172.64/27.03    (59)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 172.64/27.03    (60)   ~ (all_52_8 = all_6_2)
% 172.64/27.03    (61)  all_56_6 = e0
% 172.64/27.03    (62)  all_56_13 = e0
% 172.64/27.03    (63)  all_58_24 = all_52_8
% 172.64/27.03    (64)  all_58_22 = all_52_6
% 172.64/27.03    (65)  all_56_3 = all_4_2
% 172.64/27.03    (66)  all_54_0 = all_6_2
% 172.64/27.03    (67)   ~ (all_52_14 = all_10_2)
% 172.64/27.03    (68)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 172.64/27.03    (69)   ~ (all_52_11 = e0)
% 172.64/27.03    (70)   ~ (all_52_1 = e0)
% 172.64/27.03    (71)   ~ (all_52_4 = all_52_8)
% 172.64/27.03    (72)   ~ (all_52_14 = all_14_2)
% 172.64/27.03    (73)  all_58_25 = all_52_9
% 172.64/27.03    (74)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 172.64/27.03    (75)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 172.64/27.03            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.64/27.03    (76)   ~ (all_52_6 = e0)
% 172.64/27.03    (77)  all_54_12 = all_52_3
% 172.64/27.03    (78)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 172.64/27.03    (79)  all_58_21 = all_4_2
% 172.64/27.03    (80)  all_56_10 = all_52_13
% 172.64/27.03    (81)   ~ (all_52_3 = e0)
% 172.64/27.03    (82)   ~ (e2 = e0)
% 172.64/27.03    (83)   ~ (all_52_1 = all_52_3)
% 172.64/27.03    (84)   ~ (all_52_14 = e0)
% 172.64/27.03    (85)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 172.64/27.03    (86)   ~ (e1 = e0)
% 172.64/27.03    (87)  all_56_7 = all_52_6
% 172.64/27.03    (88)   ~ (all_52_8 = e0)
% 172.64/27.03    (89)  all_54_5 = all_4_2
% 172.64/27.03    (90)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 172.64/27.03          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 172.64/27.03          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 172.64/27.03          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 172.64/27.03          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 172.64/27.03          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 172.64/27.03          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 172.64/27.03          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 172.64/27.03          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 172.64/27.03          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 172.64/27.03            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 172.64/27.03            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 172.64/27.03            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 172.64/27.03            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 172.64/27.03            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 172.64/27.03            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 172.64/27.03            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 172.64/27.03            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 172.64/27.03            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 172.64/27.03            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 172.64/27.03            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 173.13/27.03            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 173.13/27.03            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 173.13/27.03            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 173.13/27.03            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 173.13/27.03            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 173.13/27.03          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 173.13/27.03          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.13/27.03          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 173.13/27.03            all_58_30 = e0 & e1 = e0)
% 173.13/27.03    (91)  all_54_7 = all_52_13
% 173.13/27.03    (92)  all_58_23 = e0
% 173.13/27.03    (93)  all_54_11 = all_52_14
% 173.13/27.03  
% 173.13/27.03  Begin of proof
% 173.13/27.03  | 
% 173.13/27.03  | BETA: splitting (36) gives:
% 173.13/27.03  | 
% 173.13/27.03  | Case 1:
% 173.13/27.03  | | 
% 173.13/27.03  | |   (94)  all_54_7 = e0
% 173.13/27.03  | | 
% 173.13/27.03  | | REF_CLOSE: (50), (91), (94) are inconsistent by sub-proof #714.
% 173.13/27.03  | | 
% 173.13/27.03  | Case 2:
% 173.13/27.03  | | 
% 173.13/27.03  | |   (95)   ~ (all_54_7 = e0)
% 173.13/27.03  | |   (96)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 173.13/27.03  | | 
% 173.13/27.03  | | BETA: splitting (10) gives:
% 173.13/27.03  | | 
% 173.13/27.03  | | Case 1:
% 173.13/27.03  | | | 
% 173.13/27.03  | | |   (97)  all_54_11 = e0
% 173.13/27.03  | | | 
% 173.13/27.03  | | | REF_CLOSE: (84), (93), (97) are inconsistent by sub-proof #558.
% 173.13/27.03  | | | 
% 173.13/27.03  | | Case 2:
% 173.13/27.03  | | | 
% 173.13/27.03  | | |   (98)   ~ (all_54_11 = e0)
% 173.13/27.03  | | |   (99)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 173.13/27.03  | | | 
% 173.13/27.03  | | | BETA: splitting (57) gives:
% 173.13/27.03  | | | 
% 173.13/27.03  | | | Case 1:
% 173.13/27.03  | | | | 
% 173.13/27.03  | | | |   (100)  all_54_12 = e0
% 173.13/27.03  | | | | 
% 173.13/27.03  | | | | REF_CLOSE: (77), (81), (100) are inconsistent by sub-proof #559.
% 173.13/27.03  | | | | 
% 173.13/27.03  | | | Case 2:
% 173.13/27.03  | | | | 
% 173.13/27.03  | | | |   (101)   ~ (all_54_12 = e0)
% 173.13/27.03  | | | |   (102)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 173.13/27.03  | | | | 
% 173.13/27.03  | | | | BETA: splitting (59) gives:
% 173.13/27.03  | | | | 
% 173.13/27.03  | | | | Case 1:
% 173.13/27.03  | | | | | 
% 173.13/27.03  | | | | |   (103)  all_54_2 = e0
% 173.13/27.03  | | | | | 
% 173.13/27.03  | | | | | COMBINE_EQS: (22), (103) imply:
% 173.13/27.03  | | | | |   (104)  all_52_8 = e0
% 173.13/27.03  | | | | | 
% 173.13/27.03  | | | | | REDUCE: (88), (104) imply:
% 173.13/27.03  | | | | |   (105)  $false
% 173.13/27.03  | | | | | 
% 173.13/27.03  | | | | | CLOSE: (105) is inconsistent.
% 173.13/27.03  | | | | | 
% 173.13/27.03  | | | | Case 2:
% 173.13/27.03  | | | | | 
% 173.13/27.03  | | | | |   (106)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1
% 173.13/27.03  | | | | | 
% 173.13/27.03  | | | | | BETA: splitting (40) gives:
% 173.13/27.03  | | | | | 
% 173.13/27.03  | | | | | Case 1:
% 173.13/27.03  | | | | | | 
% 173.13/27.03  | | | | | |   (107)  all_54_1 = e0
% 173.13/27.03  | | | | | | 
% 173.13/27.03  | | | | | | REF_CLOSE: (8), (18), (107) are inconsistent by sub-proof #866.
% 173.13/27.03  | | | | | | 
% 173.13/27.03  | | | | | Case 2:
% 173.13/27.03  | | | | | | 
% 173.13/27.03  | | | | | |   (108)   ~ (all_54_1 = e0)
% 173.13/27.03  | | | | | |   (109)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 173.13/27.03  | | | | | | 
% 173.13/27.03  | | | | | | BETA: splitting (4) gives:
% 173.13/27.03  | | | | | | 
% 173.13/27.03  | | | | | | Case 1:
% 173.13/27.03  | | | | | | | 
% 173.13/27.03  | | | | | | |   (110)  all_58_19 = e0
% 173.13/27.03  | | | | | | | 
% 173.13/27.03  | | | | | | | COMBINE_EQS: (30), (110) imply:
% 173.13/27.03  | | | | | | |   (111)  all_52_3 = e0
% 173.13/27.03  | | | | | | | 
% 173.13/27.03  | | | | | | | REDUCE: (81), (111) imply:
% 173.13/27.03  | | | | | | |   (112)  $false
% 173.13/27.03  | | | | | | | 
% 173.13/27.03  | | | | | | | CLOSE: (112) is inconsistent.
% 173.13/27.03  | | | | | | | 
% 173.13/27.03  | | | | | | Case 2:
% 173.13/27.03  | | | | | | | 
% 173.13/27.03  | | | | | | |   (113)   ~ (all_58_19 = e0)
% 173.13/27.03  | | | | | | |   (114)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 173.13/27.03  | | | | | | | 
% 173.13/27.03  | | | | | | | BETA: splitting (11) gives:
% 173.13/27.03  | | | | | | | 
% 173.13/27.03  | | | | | | | Case 1:
% 173.13/27.03  | | | | | | | | 
% 173.13/27.03  | | | | | | | |   (115)  all_58_31 = e0
% 173.13/27.03  | | | | | | | | 
% 173.13/27.03  | | | | | | | | COMBINE_EQS: (14), (115) imply:
% 173.13/27.03  | | | | | | | |   (116)  all_14_2 = e0
% 173.13/27.03  | | | | | | | | 
% 173.13/27.03  | | | | | | | | REDUCE: (9), (116) imply:
% 173.13/27.03  | | | | | | | |   (117)  $false
% 173.13/27.03  | | | | | | | | 
% 173.13/27.03  | | | | | | | | CLOSE: (117) is inconsistent.
% 173.13/27.03  | | | | | | | | 
% 173.13/27.03  | | | | | | | Case 2:
% 173.13/27.03  | | | | | | | | 
% 173.13/27.03  | | | | | | | |   (118)   ~ (all_58_31 = e0)
% 173.13/27.03  | | | | | | | |   (119)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 173.13/27.03  | | | | | | | | 
% 173.13/27.03  | | | | | | | | BETA: splitting (25) gives:
% 173.13/27.03  | | | | | | | | 
% 173.13/27.03  | | | | | | | | Case 1:
% 173.13/27.03  | | | | | | | | | 
% 173.13/27.03  | | | | | | | | |   (120)  all_58_27 = e0
% 173.13/27.03  | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | COMBINE_EQS: (27), (120) imply:
% 173.13/27.03  | | | | | | | | |   (121)  all_52_11 = e0
% 173.13/27.03  | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | REDUCE: (69), (121) imply:
% 173.13/27.03  | | | | | | | | |   (122)  $false
% 173.13/27.03  | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | CLOSE: (122) is inconsistent.
% 173.13/27.03  | | | | | | | | | 
% 173.13/27.03  | | | | | | | | Case 2:
% 173.13/27.03  | | | | | | | | | 
% 173.13/27.03  | | | | | | | | |   (123)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 173.13/27.03  | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | BETA: splitting (44) gives:
% 173.13/27.03  | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | Case 1:
% 173.13/27.03  | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | |   (124)  all_56_0 = e2
% 173.13/27.03  | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | COMBINE_EQS: (24), (124) imply:
% 173.13/27.03  | | | | | | | | | |   (125)  all_6_2 = e2
% 173.13/27.03  | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | COMBINE_EQS: (45), (125) imply:
% 173.13/27.03  | | | | | | | | | |   (126)  all_58_16 = e2
% 173.13/27.03  | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | REDUCE: (21), (125) imply:
% 173.13/27.03  | | | | | | | | | |   (127)   ~ (all_52_1 = e2)
% 173.13/27.03  | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | REF_CLOSE: (20), (29), (32), (86), (114), (126), (127) are
% 173.13/27.03  | | | | | | | | | |            inconsistent by sub-proof #963.
% 173.13/27.03  | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | Case 2:
% 173.13/27.03  | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | |   (128)   ~ (all_56_0 = e2)
% 173.13/27.03  | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | REDUCE: (24), (128) imply:
% 173.13/27.03  | | | | | | | | | |   (129)   ~ (all_6_2 = e2)
% 173.13/27.03  | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | BETA: splitting (35) gives:
% 173.13/27.03  | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | Case 1:
% 173.13/27.03  | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | |   (130)  all_56_0 = e2
% 173.13/27.03  | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | COMBINE_EQS: (24), (130) imply:
% 173.13/27.03  | | | | | | | | | | |   (131)  all_6_2 = e2
% 173.13/27.03  | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | REDUCE: (129), (131) imply:
% 173.13/27.03  | | | | | | | | | | |   (132)  $false
% 173.13/27.03  | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | CLOSE: (132) is inconsistent.
% 173.13/27.03  | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | Case 2:
% 173.13/27.03  | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | |   (133)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 173.13/27.03  | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | BETA: splitting (38) gives:
% 173.13/27.03  | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | Case 1:
% 173.13/27.03  | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | |   (134)  all_56_0 = e1
% 173.13/27.03  | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | COMBINE_EQS: (24), (134) imply:
% 173.13/27.03  | | | | | | | | | | | |   (135)  all_6_2 = e1
% 173.13/27.03  | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | COMBINE_EQS: (45), (135) imply:
% 173.13/27.03  | | | | | | | | | | | |   (136)  all_58_16 = e1
% 173.13/27.03  | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | REDUCE: (21), (135) imply:
% 173.13/27.03  | | | | | | | | | | | |   (137)   ~ (all_52_1 = e1)
% 173.13/27.03  | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | REDUCE: (15), (135) imply:
% 173.13/27.03  | | | | | | | | | | | |   (138)   ~ (all_52_3 = e1)
% 173.13/27.03  | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | REDUCE: (47), (135) imply:
% 173.13/27.03  | | | | | | | | | | | |   (139)   ~ (all_52_4 = e1)
% 173.13/27.03  | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (9), (12), (13),
% 173.13/27.03  | | | | | | | | | | | |            (14), (16), (17), (18), (19), (20), (23), (26),
% 173.13/27.03  | | | | | | | | | | | |            (28), (29), (30), (33), (35), (37), (39), (40),
% 173.13/27.03  | | | | | | | | | | | |            (41), (43), (48), (49), (51), (53), (55), (56),
% 173.13/27.03  | | | | | | | | | | | |            (61), (62), (63), (64), (65), (67), (70), (71),
% 173.13/27.03  | | | | | | | | | | | |            (72), (74), (76), (77), (78), (79), (80), (81),
% 173.13/27.03  | | | | | | | | | | | |            (83), (84), (85), (86), (87), (89), (90), (91),
% 173.13/27.03  | | | | | | | | | | | |            (92), (96), (102), (114), (119), (123), (134),
% 173.13/27.03  | | | | | | | | | | | |            (136), (137), (138), (139) are inconsistent by
% 173.13/27.03  | | | | | | | | | | | |            sub-proof #420.
% 173.13/27.03  | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | Case 2:
% 173.13/27.03  | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | |   (140)   ~ (all_56_0 = e1)
% 173.13/27.03  | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | REDUCE: (24), (140) imply:
% 173.13/27.03  | | | | | | | | | | | |   (141)   ~ (all_6_2 = e1)
% 173.13/27.03  | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | BETA: splitting (34) gives:
% 173.13/27.03  | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | Case 1:
% 173.13/27.03  | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | |   (142)  all_54_0 = e1
% 173.13/27.03  | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | REF_CLOSE: (66), (141), (142) are inconsistent by sub-proof
% 173.13/27.03  | | | | | | | | | | | | |            #951.
% 173.13/27.03  | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | Case 2:
% 173.13/27.03  | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | |   (143)  all_54_0 = e3 | all_54_0 = e2
% 173.13/27.03  | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | BETA: splitting (143) gives:
% 173.13/27.03  | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | Case 1:
% 173.13/27.03  | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | |   (144)  all_54_0 = e2
% 173.13/27.03  | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | REF_CLOSE: (66), (129), (144) are inconsistent by sub-proof
% 173.13/27.03  | | | | | | | | | | | | | |            #946.
% 173.13/27.03  | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | Case 2:
% 173.13/27.03  | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | |   (145)  all_54_0 = e3
% 173.13/27.03  | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | COMBINE_EQS: (66), (145) imply:
% 173.13/27.03  | | | | | | | | | | | | | |   (146)  all_6_2 = e3
% 173.13/27.03  | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | SIMP: (146) implies:
% 173.13/27.03  | | | | | | | | | | | | | |   (147)  all_6_2 = e3
% 173.13/27.03  | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | REDUCE: (47), (147) imply:
% 173.13/27.03  | | | | | | | | | | | | | |   (148)   ~ (all_52_4 = e3)
% 173.13/27.03  | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | REDUCE: (60), (147) imply:
% 173.13/27.03  | | | | | | | | | | | | | |   (149)   ~ (all_52_8 = e3)
% 173.13/27.03  | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | BETA: splitting (123) gives:
% 173.13/27.03  | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | Case 1:
% 173.13/27.03  | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | |   (150)  all_58_26 = e1
% 173.13/27.03  | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | COMBINE_EQS: (12), (150) imply:
% 173.13/27.03  | | | | | | | | | | | | | | |   (151)  all_10_2 = e1
% 173.13/27.03  | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | SIMP: (151) implies:
% 173.13/27.03  | | | | | | | | | | | | | | |   (152)  all_10_2 = e1
% 173.13/27.03  | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | REDUCE: (54), (152) imply:
% 173.13/27.03  | | | | | | | | | | | | | | |   (153)   ~ (all_52_8 = e1)
% 173.13/27.03  | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | REDUCE: (67), (152) imply:
% 173.13/27.03  | | | | | | | | | | | | | | |   (154)   ~ (all_52_14 = e1)
% 173.13/27.03  | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 173.13/27.03  | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | Case 1:
% 173.13/27.03  | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | |   (155)  all_58_30 = e1
% 173.13/27.03  | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | COMBINE_EQS: (26), (155) imply:
% 173.13/27.03  | | | | | | | | | | | | | | | |   (156)  all_52_14 = e1
% 173.13/27.03  | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | REDUCE: (154), (156) imply:
% 173.13/27.03  | | | | | | | | | | | | | | | |   (157)  $false
% 173.13/27.03  | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | CLOSE: (157) is inconsistent.
% 173.13/27.03  | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | Case 2:
% 173.13/27.03  | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | |   (158)   ~ (all_58_30 = e1)
% 173.13/27.03  | | | | | | | | | | | | | | | |   (159)  all_58_28 = e3 | all_58_29 = e2
% 173.13/27.03  | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 173.13/27.03  | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.03  | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | |   (160)  all_54_2 = e1
% 173.13/27.03  | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (153), (160) are inconsistent by sub-proof
% 173.13/27.03  | | | | | | | | | | | | | | | | |            #762.
% 173.13/27.03  | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.03  | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | |   (161)  all_54_2 = e3 | all_54_2 = e2
% 173.13/27.03  | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 173.13/27.03  | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | |   (162)  all_54_2 = e2
% 173.13/27.03  | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22), (162) imply:
% 173.13/27.03  | | | | | | | | | | | | | | | | | |   (163)  all_52_8 = e2
% 173.13/27.03  | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | SIMP: (163) implies:
% 173.13/27.03  | | | | | | | | | | | | | | | | | |   (164)  all_52_8 = e2
% 173.13/27.03  | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | REDUCE: (71), (164) imply:
% 173.13/27.03  | | | | | | | | | | | | | | | | | |   (165)   ~ (all_52_4 = e2)
% 173.13/27.03  | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | REDUCE: (149), (164) imply:
% 173.13/27.03  | | | | | | | | | | | | | | | | | |   (166)   ~ (e3 = e2)
% 173.13/27.03  | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | BETA: splitting (109) gives:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | |   (167)  all_54_1 = e1
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8), (167) imply:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | |   (168)  all_52_4 = e1
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | SIMP: (168) implies:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | |   (169)  all_52_4 = e1
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1), (169) imply:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | |   (170)  all_56_1 = e1
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | REDUCE: (165), (169) imply:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | |   (171)   ~ (e2 = e1)
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | SIMP: (171) implies:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | |   (172)   ~ (e2 = e1)
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | |   (173)  all_58_29 = e2
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (49), (173) imply:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | |   (174)  all_52_13 = e2
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (174) imply:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | |   (175)   ~ (all_52_14 = e2)
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | SIMP: (175) implies:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | |   (176)   ~ (all_52_14 = e2)
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | BETA: splitting (42) gives:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | |   (177)  all_56_9 = e1
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19), (177) imply:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | |   (178)  e1 = e0
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (170), (178) imply:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | |   (179)  all_56_1 = e0
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (150), (178) imply:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | |   (180)  all_58_26 = e0
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (46), (55), (63), (73), (82), (86), (123),
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | |            (133), (172), (177), (179), (180) are inconsistent
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #416.
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | |   (181)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (99) gives:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | |   (182)  all_54_11 = e1
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (93), (182) imply:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | |   (183)  all_52_14 = e1
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (154), (183) imply:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | |   (184)  $false
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (184) is inconsistent.
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | |   (185)   ~ (all_54_11 = e1)
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | |   (186)  all_54_11 = e3 | all_54_11 = e2
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (68) gives:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | |   (187)  all_54_15 = e1
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (58), (187) imply:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | |   (188)  all_14_2 = e1
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (188) implies:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | |   (189)  all_14_2 = e1
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (189) imply:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | |   (190)  op(e1, e0) = e1
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | |   (191)  all_54_11 = e2
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (93), (176), (191) are inconsistent by sub-proof
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | |            #585.
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | |   (192)  all_54_11 = e3
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (93), (192) imply:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | |   (193)  all_52_14 = e3
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (193) implies:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | |   (194)  all_52_14 = e3
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (194) imply:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | |   (195)  op(e1, e0) = e3
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (75) with e1, e3, e0, e1,
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (190), (195) gives:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | |   (196)  e3 = e1
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (196) imply:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | |   (197)  $false
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (197) is inconsistent.
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | |   (198)   ~ (all_54_15 = e1)
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (198) imply:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | |   (199)   ~ (all_14_2 = e1)
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (23), (26), (39), (48), (49), (80), (119),
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | |            (154), (172), (181), (199) are inconsistent by
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #853.
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | |   (200)  all_58_28 = e3
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (48), (200) are inconsistent by sub-proof
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | |            #857.
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | |   (201)  all_54_1 = e3 | all_54_1 = e2
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (148), (165), (201) are inconsistent by
% 173.13/27.03  | | | | | | | | | | | | | | | | | | |            sub-proof #863.
% 173.13/27.03  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.03  | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.03  | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | |   (202)  all_54_2 = e3
% 173.13/27.03  | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (149), (202) are inconsistent by sub-proof
% 173.13/27.03  | | | | | | | | | | | | | | | | | |            #758.
% 173.13/27.03  | | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | | End of split
% 173.13/27.03  | | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | | End of split
% 173.13/27.03  | | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | End of split
% 173.13/27.03  | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | Case 2:
% 173.13/27.03  | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | |   (203)  all_58_24 = e3 | all_58_25 = e2
% 173.13/27.03  | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | | REF_CLOSE: (16), (63), (82), (149), (203) are inconsistent by
% 173.13/27.03  | | | | | | | | | | | | | | |            sub-proof #849.
% 173.13/27.03  | | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | | End of split
% 173.13/27.03  | | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | | End of split
% 173.13/27.03  | | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | | End of split
% 173.13/27.03  | | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | | End of split
% 173.13/27.03  | | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | | End of split
% 173.13/27.03  | | | | | | | | | | 
% 173.13/27.03  | | | | | | | | | End of split
% 173.13/27.03  | | | | | | | | | 
% 173.13/27.03  | | | | | | | | End of split
% 173.13/27.03  | | | | | | | | 
% 173.13/27.03  | | | | | | | End of split
% 173.13/27.03  | | | | | | | 
% 173.13/27.03  | | | | | | End of split
% 173.13/27.03  | | | | | | 
% 173.13/27.03  | | | | | End of split
% 173.13/27.03  | | | | | 
% 173.13/27.03  | | | | End of split
% 173.13/27.03  | | | | 
% 173.13/27.03  | | | End of split
% 173.13/27.03  | | | 
% 173.13/27.03  | | End of split
% 173.13/27.03  | | 
% 173.13/27.03  | End of split
% 173.13/27.03  | 
% 173.13/27.03  End of proof
% 173.13/27.03  
% 173.13/27.03  Sub-proof #416 shows that the following formulas are inconsistent:
% 173.13/27.03  ----------------------------------------------------------------
% 173.13/27.03    (1)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 173.13/27.03    (2)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 173.13/27.03    (3)   ~ (e3 = e2)
% 173.13/27.03    (4)   ~ (e2 = e1)
% 173.13/27.03    (5)  all_58_26 = e0
% 173.13/27.03    (6)  all_56_1 = e0
% 173.13/27.03    (7)   ~ (all_52_8 = all_52_9)
% 173.13/27.03    (8)  all_56_4 = all_52_8
% 173.13/27.03    (9)  all_58_24 = all_52_8
% 173.13/27.03    (10)  all_58_25 = all_52_9
% 173.13/27.03    (11)   ~ (e2 = e0)
% 173.13/27.03    (12)  all_56_9 = e1
% 173.13/27.03    (13)   ~ (e1 = e0)
% 173.13/27.03  
% 173.13/27.03  Begin of proof
% 173.13/27.03  | 
% 173.13/27.03  | BETA: splitting (1) gives:
% 173.13/27.03  | 
% 173.13/27.03  | Case 1:
% 173.13/27.03  | | 
% 173.13/27.03  | |   (14)  all_56_1 = e2
% 173.13/27.03  | | 
% 173.13/27.03  | | REF_CLOSE: (6), (11), (14) are inconsistent by sub-proof #950.
% 173.13/27.03  | | 
% 173.13/27.03  | Case 2:
% 173.13/27.03  | | 
% 173.13/27.03  | |   (15)  all_56_4 = e2 | all_56_9 = e2
% 173.13/27.03  | | 
% 173.13/27.03  | | BETA: splitting (15) gives:
% 173.13/27.03  | | 
% 173.13/27.03  | | Case 1:
% 173.13/27.03  | | | 
% 173.13/27.03  | | |   (16)  all_56_4 = e2
% 173.13/27.03  | | | 
% 173.13/27.03  | | | REF_CLOSE: (2), (3), (5), (7), (8), (9), (10), (13), (16) are inconsistent
% 173.13/27.03  | | |            by sub-proof #418.
% 173.13/27.03  | | | 
% 173.13/27.03  | | Case 2:
% 173.13/27.03  | | | 
% 173.13/27.03  | | |   (17)  all_56_9 = e2
% 173.13/27.03  | | | 
% 173.13/27.03  | | | REF_CLOSE: (4), (12), (17) are inconsistent by sub-proof #417.
% 173.13/27.03  | | | 
% 173.13/27.03  | | End of split
% 173.13/27.03  | | 
% 173.13/27.03  | End of split
% 173.13/27.03  | 
% 173.13/27.03  End of proof
% 173.13/27.03  
% 173.13/27.03  Sub-proof #417 shows that the following formulas are inconsistent:
% 173.13/27.03  ----------------------------------------------------------------
% 173.13/27.03    (1)  all_56_9 = e2
% 173.13/27.03    (2)  all_56_9 = e1
% 173.13/27.03    (3)   ~ (e2 = e1)
% 173.13/27.03  
% 173.13/27.03  Begin of proof
% 173.13/27.03  | 
% 173.13/27.03  | COMBINE_EQS: (1), (2) imply:
% 173.13/27.03  |   (4)  e2 = e1
% 173.13/27.03  | 
% 173.13/27.03  | SIMP: (4) implies:
% 173.13/27.03  |   (5)  e2 = e1
% 173.13/27.03  | 
% 173.13/27.03  | REDUCE: (3), (5) imply:
% 173.13/27.03  |   (6)  $false
% 173.13/27.03  | 
% 173.13/27.03  | CLOSE: (6) is inconsistent.
% 173.13/27.03  | 
% 173.13/27.03  End of proof
% 173.13/27.03  
% 173.13/27.03  Sub-proof #418 shows that the following formulas are inconsistent:
% 173.13/27.03  ----------------------------------------------------------------
% 173.13/27.03    (1)  all_56_4 = e2
% 173.13/27.03    (2)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 173.13/27.03    (3)   ~ (e3 = e2)
% 173.13/27.03    (4)  all_58_26 = e0
% 173.13/27.03    (5)   ~ (all_52_8 = all_52_9)
% 173.13/27.03    (6)  all_56_4 = all_52_8
% 173.13/27.03    (7)  all_58_24 = all_52_8
% 173.13/27.03    (8)  all_58_25 = all_52_9
% 173.13/27.03    (9)   ~ (e1 = e0)
% 173.13/27.03  
% 173.13/27.03  Begin of proof
% 173.13/27.03  | 
% 173.13/27.03  | COMBINE_EQS: (1), (6) imply:
% 173.13/27.03  |   (10)  all_52_8 = e2
% 173.13/27.03  | 
% 173.13/27.03  | COMBINE_EQS: (7), (10) imply:
% 173.13/27.03  |   (11)  all_58_24 = e2
% 173.13/27.03  | 
% 173.13/27.03  | REDUCE: (5), (10) imply:
% 173.13/27.03  |   (12)   ~ (all_52_9 = e2)
% 173.13/27.03  | 
% 173.13/27.03  | SIMP: (12) implies:
% 173.13/27.03  |   (13)   ~ (all_52_9 = e2)
% 173.13/27.03  | 
% 173.13/27.03  | REF_CLOSE: (2), (3), (4), (8), (9), (11), (13) are inconsistent by sub-proof
% 173.13/27.03  |            #419.
% 173.13/27.03  | 
% 173.13/27.03  End of proof
% 173.13/27.03  
% 173.13/27.03  Sub-proof #419 shows that the following formulas are inconsistent:
% 173.13/27.03  ----------------------------------------------------------------
% 173.13/27.03    (1)  all_58_24 = e2
% 173.13/27.03    (2)   ~ (all_52_9 = e2)
% 173.13/27.03    (3)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 173.13/27.03    (4)   ~ (e3 = e2)
% 173.13/27.03    (5)  all_58_26 = e0
% 173.13/27.03    (6)  all_58_25 = all_52_9
% 173.13/27.03    (7)   ~ (e1 = e0)
% 173.13/27.03  
% 173.13/27.03  Begin of proof
% 173.13/27.03  | 
% 173.13/27.03  | BETA: splitting (3) gives:
% 173.13/27.03  | 
% 173.13/27.03  | Case 1:
% 173.13/27.03  | | 
% 173.13/27.03  | |   (8)  all_58_26 = e1
% 173.13/27.03  | | 
% 173.13/27.03  | | COMBINE_EQS: (5), (8) imply:
% 173.13/27.03  | |   (9)  e1 = e0
% 173.13/27.03  | | 
% 173.13/27.03  | | REDUCE: (7), (9) imply:
% 173.13/27.03  | |   (10)  $false
% 173.13/27.03  | | 
% 173.13/27.03  | | CLOSE: (10) is inconsistent.
% 173.13/27.03  | | 
% 173.13/27.03  | Case 2:
% 173.13/27.03  | | 
% 173.13/27.03  | |   (11)  all_58_24 = e3 | all_58_25 = e2
% 173.13/27.03  | | 
% 173.13/27.03  | | BETA: splitting (11) gives:
% 173.13/27.03  | | 
% 173.13/27.03  | | Case 1:
% 173.13/27.03  | | | 
% 173.13/27.03  | | |   (12)  all_58_25 = e2
% 173.13/27.03  | | | 
% 173.13/27.03  | | | COMBINE_EQS: (6), (12) imply:
% 173.13/27.03  | | |   (13)  all_52_9 = e2
% 173.13/27.03  | | | 
% 173.13/27.03  | | | REDUCE: (2), (13) imply:
% 173.13/27.03  | | |   (14)  $false
% 173.13/27.03  | | | 
% 173.13/27.03  | | | CLOSE: (14) is inconsistent.
% 173.13/27.03  | | | 
% 173.13/27.03  | | Case 2:
% 173.13/27.03  | | | 
% 173.13/27.03  | | |   (15)  all_58_24 = e3
% 173.13/27.03  | | | 
% 173.13/27.03  | | | COMBINE_EQS: (1), (15) imply:
% 173.13/27.03  | | |   (16)  e3 = e2
% 173.13/27.03  | | | 
% 173.13/27.03  | | | SIMP: (16) implies:
% 173.13/27.03  | | |   (17)  e3 = e2
% 173.13/27.03  | | | 
% 173.13/27.03  | | | REDUCE: (4), (17) imply:
% 173.13/27.03  | | |   (18)  $false
% 173.13/27.03  | | | 
% 173.13/27.03  | | | CLOSE: (18) is inconsistent.
% 173.13/27.03  | | | 
% 173.13/27.03  | | End of split
% 173.13/27.03  | | 
% 173.13/27.03  | End of split
% 173.13/27.03  | 
% 173.13/27.03  End of proof
% 173.13/27.03  
% 173.13/27.03  Sub-proof #420 shows that the following formulas are inconsistent:
% 173.13/27.03  ----------------------------------------------------------------
% 173.13/27.03    (1)  all_56_1 = all_52_4
% 173.13/27.03    (2)   ~ (e3 = e1)
% 173.13/27.03    (3)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 173.13/27.03    (4)   ~ (all_52_4 = all_4_2)
% 173.13/27.03    (5)   ~ (all_52_6 = all_4_2)
% 173.13/27.03    (6)  all_56_15 = all_14_2
% 173.13/27.03    (7)  all_56_0 = e1
% 173.13/27.03    (8)  all_54_1 = all_52_4
% 173.13/27.03    (9)   ~ (all_14_2 = e0)
% 173.13/27.03    (10)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 173.13/27.03    (11)   ~ (all_52_4 = e1)
% 173.13/27.03    (12)  all_58_26 = all_10_2
% 173.13/27.03    (13)   ~ (all_52_4 = all_52_6)
% 173.13/27.03    (14)  all_58_31 = all_14_2
% 173.13/27.03    (15)  all_58_25 = e0
% 173.13/27.03    (16)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 173.13/27.03    (17)   ~ (all_52_4 = e0)
% 173.13/27.03    (18)  all_56_9 = e0
% 173.13/27.03    (19)  all_58_18 = e0
% 173.13/27.03    (20)  all_56_11 = all_52_14
% 173.13/27.03    (21)  all_58_30 = all_52_14
% 173.13/27.03    (22)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 173.13/27.03    (23)  all_58_17 = all_52_1
% 173.13/27.03    (24)  all_58_19 = all_52_3
% 173.13/27.03    (25)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 173.13/27.03    (26)  all_58_16 = e1
% 173.13/27.03    (27)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 173.13/27.03    (28)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 173.13/27.03    (29)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 173.13/27.03    (30)   ~ (all_52_13 = all_14_2)
% 173.13/27.03    (31)   ~ (all_52_3 = e1)
% 173.13/27.03    (32)  all_58_28 = e0
% 173.13/27.03    (33)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 173.13/27.03    (34)  all_54_9 = all_52_6
% 173.13/27.03    (35)   ~ (all_52_13 = all_52_14)
% 173.13/27.03    (36)   ~ (e3 = e0)
% 173.13/27.03    (37)  all_58_29 = all_52_13
% 173.13/27.03    (38)   ~ (all_4_2 = e0)
% 173.13/27.03    (39)   ~ (all_52_6 = all_52_14)
% 173.13/27.03    (40)  all_56_4 = all_52_8
% 173.13/27.03    (41)   ~ (all_52_1 = all_52_13)
% 173.13/27.03    (42)   ~ (all_52_1 = e1)
% 173.13/27.03    (43)  all_56_6 = e0
% 173.13/27.03    (44)  all_56_13 = e0
% 173.13/27.03    (45)  all_58_24 = all_52_8
% 173.13/27.03    (46)  all_58_22 = all_52_6
% 173.13/27.03    (47)  all_56_3 = all_4_2
% 173.13/27.03    (48)   ~ (all_52_14 = all_10_2)
% 173.13/27.03    (49)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 173.13/27.03    (50)   ~ (all_52_1 = e0)
% 173.13/27.03    (51)   ~ (all_52_4 = all_52_8)
% 173.13/27.03    (52)   ~ (all_52_14 = all_14_2)
% 173.13/27.03    (53)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 173.13/27.03    (54)   ~ (all_52_6 = e0)
% 173.13/27.03    (55)  all_54_12 = all_52_3
% 173.13/27.03    (56)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 173.13/27.03    (57)  all_58_21 = all_4_2
% 173.13/27.03    (58)  all_56_10 = all_52_13
% 173.13/27.03    (59)   ~ (all_52_3 = e0)
% 173.13/27.03    (60)   ~ (all_52_1 = all_52_3)
% 173.13/27.03    (61)   ~ (all_52_14 = e0)
% 173.13/27.03    (62)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 173.13/27.03    (63)   ~ (e1 = e0)
% 173.13/27.03    (64)  all_56_7 = all_52_6
% 173.13/27.03    (65)  all_54_5 = all_4_2
% 173.13/27.04    (66)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 173.13/27.04          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 173.13/27.04          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.13/27.04          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 173.13/27.04          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.13/27.04          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 173.13/27.04          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.13/27.04          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 173.13/27.04          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 173.13/27.04          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 173.13/27.04            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 173.13/27.04            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 173.13/27.04            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 173.13/27.04            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 173.13/27.04            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 173.13/27.04            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 173.13/27.04            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 173.13/27.04            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 173.13/27.04            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 173.13/27.04            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 173.13/27.04            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 173.13/27.04            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 173.13/27.04            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 173.13/27.04            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 173.13/27.04            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 173.13/27.04            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 173.13/27.04          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 173.13/27.04          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.13/27.04          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 173.13/27.04            all_58_30 = e0 & e1 = e0)
% 173.13/27.04    (67)  all_54_7 = all_52_13
% 173.13/27.04    (68)  all_58_23 = e0
% 173.13/27.04  
% 173.13/27.04  Begin of proof
% 173.13/27.04  | 
% 173.13/27.04  | BETA: splitting (3) gives:
% 173.13/27.04  | 
% 173.13/27.04  | Case 1:
% 173.13/27.04  | | 
% 173.13/27.04  | |   (69)  all_58_18 = e1
% 173.13/27.04  | | 
% 173.13/27.04  | | COMBINE_EQS: (19), (69) imply:
% 173.13/27.04  | |   (70)  e1 = e0
% 173.13/27.04  | | 
% 173.13/27.04  | | REDUCE: (63), (70) imply:
% 173.13/27.04  | |   (71)  $false
% 173.13/27.04  | | 
% 173.13/27.04  | | CLOSE: (71) is inconsistent.
% 173.13/27.04  | | 
% 173.13/27.04  | Case 2:
% 173.13/27.04  | | 
% 173.13/27.04  | |   (72)  all_58_16 = e3 | all_58_17 = e2
% 173.13/27.04  | | 
% 173.13/27.04  | | BETA: splitting (72) gives:
% 173.13/27.04  | | 
% 173.13/27.04  | | Case 1:
% 173.13/27.04  | | | 
% 173.13/27.04  | | |   (73)  all_58_17 = e2
% 173.13/27.04  | | | 
% 173.13/27.04  | | | COMBINE_EQS: (23), (73) imply:
% 173.13/27.04  | | |   (74)  all_52_1 = e2
% 173.13/27.04  | | | 
% 173.13/27.04  | | | REDUCE: (60), (74) imply:
% 173.13/27.04  | | |   (75)   ~ (all_52_3 = e2)
% 173.13/27.04  | | | 
% 173.13/27.04  | | | SIMP: (75) implies:
% 173.13/27.04  | | |   (76)   ~ (all_52_3 = e2)
% 173.13/27.04  | | | 
% 173.13/27.04  | | | REDUCE: (41), (74) imply:
% 173.13/27.04  | | |   (77)   ~ (all_52_13 = e2)
% 173.13/27.04  | | | 
% 173.13/27.04  | | | SIMP: (77) implies:
% 173.13/27.04  | | |   (78)   ~ (all_52_13 = e2)
% 173.13/27.04  | | | 
% 173.13/27.04  | | | REDUCE: (42), (74) imply:
% 173.13/27.04  | | |   (79)   ~ (e2 = e1)
% 173.13/27.04  | | | 
% 173.13/27.04  | | | REDUCE: (50), (74) imply:
% 173.13/27.04  | | |   (80)   ~ (e2 = e0)
% 173.13/27.04  | | | 
% 173.13/27.04  | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 173.13/27.04  | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (24),
% 173.13/27.04  | | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 173.13/27.04  | | |            (35), (36), (37), (38), (39), (40), (43), (44), (45), (46),
% 173.13/27.04  | | |            (47), (48), (49), (51), (52), (53), (54), (55), (56), (57),
% 173.13/27.04  | | |            (58), (59), (61), (62), (64), (65), (66), (67), (68), (72),
% 173.13/27.04  | | |            (73), (76), (78), (79), (80) are inconsistent by sub-proof
% 173.13/27.04  | | |            #421.
% 173.13/27.04  | | | 
% 173.13/27.04  | | Case 2:
% 173.13/27.04  | | | 
% 173.13/27.04  | | |   (81)  all_58_16 = e3
% 173.13/27.04  | | | 
% 173.13/27.04  | | | REF_CLOSE: (2), (26), (81) are inconsistent by sub-proof #970.
% 173.13/27.04  | | | 
% 173.13/27.04  | | End of split
% 173.13/27.04  | | 
% 173.13/27.04  | End of split
% 173.13/27.04  | 
% 173.13/27.04  End of proof
% 173.13/27.04  
% 173.13/27.04  Sub-proof #421 shows that the following formulas are inconsistent:
% 173.13/27.04  ----------------------------------------------------------------
% 173.13/27.04    (1)  all_56_1 = all_52_4
% 173.13/27.04    (2)   ~ (e3 = e1)
% 173.13/27.04    (3)   ~ (all_52_4 = all_4_2)
% 173.13/27.04    (4)   ~ (all_52_6 = all_4_2)
% 173.13/27.04    (5)  all_56_15 = all_14_2
% 173.13/27.04    (6)  all_56_0 = e1
% 173.13/27.04    (7)  all_54_1 = all_52_4
% 173.13/27.04    (8)   ~ (all_14_2 = e0)
% 173.13/27.04    (9)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 173.13/27.04    (10)   ~ (all_52_4 = e1)
% 173.13/27.04    (11)  all_58_26 = all_10_2
% 173.13/27.04    (12)   ~ (all_52_4 = all_52_6)
% 173.13/27.04    (13)  all_58_31 = all_14_2
% 173.13/27.04    (14)  all_58_25 = e0
% 173.13/27.04    (15)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 173.13/27.04    (16)   ~ (all_52_4 = e0)
% 173.13/27.04    (17)  all_56_9 = e0
% 173.13/27.04    (18)  all_58_18 = e0
% 173.13/27.04    (19)  all_56_11 = all_52_14
% 173.13/27.04    (20)   ~ (all_52_3 = e2)
% 173.13/27.04    (21)  all_58_30 = all_52_14
% 173.13/27.04    (22)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 173.13/27.04    (23)  all_58_19 = all_52_3
% 173.13/27.04    (24)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 173.13/27.04    (25)   ~ (e2 = e1)
% 173.13/27.04    (26)  all_58_16 = e1
% 173.13/27.04    (27)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 173.13/27.04    (28)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 173.13/27.04    (29)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 173.13/27.04    (30)   ~ (all_52_13 = all_14_2)
% 173.13/27.04    (31)   ~ (all_52_3 = e1)
% 173.13/27.04    (32)  all_58_28 = e0
% 173.13/27.04    (33)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 173.13/27.04    (34)  all_54_9 = all_52_6
% 173.13/27.04    (35)   ~ (all_52_13 = all_52_14)
% 173.13/27.04    (36)   ~ (all_52_13 = e2)
% 173.13/27.04    (37)   ~ (e3 = e0)
% 173.13/27.04    (38)  all_58_29 = all_52_13
% 173.13/27.04    (39)   ~ (all_4_2 = e0)
% 173.13/27.04    (40)   ~ (all_52_6 = all_52_14)
% 173.13/27.04    (41)  all_56_4 = all_52_8
% 173.13/27.04    (42)  all_58_17 = e2
% 173.13/27.04    (43)  all_56_6 = e0
% 173.13/27.04    (44)  all_56_13 = e0
% 173.13/27.04    (45)  all_58_24 = all_52_8
% 173.13/27.04    (46)  all_58_22 = all_52_6
% 173.13/27.04    (47)  all_56_3 = all_4_2
% 173.13/27.04    (48)   ~ (all_52_14 = all_10_2)
% 173.13/27.04    (49)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 173.13/27.04    (50)   ~ (all_52_4 = all_52_8)
% 173.13/27.04    (51)   ~ (all_52_14 = all_14_2)
% 173.13/27.04    (52)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 173.13/27.04    (53)  all_58_16 = e3 | all_58_17 = e2
% 173.13/27.04    (54)   ~ (all_52_6 = e0)
% 173.13/27.04    (55)  all_54_12 = all_52_3
% 173.13/27.04    (56)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 173.13/27.04    (57)  all_58_21 = all_4_2
% 173.13/27.04    (58)  all_56_10 = all_52_13
% 173.13/27.04    (59)   ~ (all_52_3 = e0)
% 173.13/27.04    (60)   ~ (e2 = e0)
% 173.13/27.04    (61)   ~ (all_52_14 = e0)
% 173.13/27.04    (62)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 173.13/27.04    (63)  all_56_7 = all_52_6
% 173.13/27.04    (64)  all_54_5 = all_4_2
% 173.13/27.04    (65)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 173.13/27.04          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 173.13/27.04          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.13/27.04          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 173.13/27.04          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.13/27.04          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 173.13/27.04          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.13/27.04          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 173.13/27.04          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 173.13/27.04          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 173.13/27.04            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 173.13/27.04            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 173.13/27.04            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 173.13/27.04            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 173.13/27.04            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 173.13/27.04            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 173.13/27.04            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 173.13/27.04            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 173.13/27.04            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 173.13/27.04            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 173.13/27.04            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 173.13/27.04            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 173.13/27.04            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 173.13/27.04            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 173.13/27.04            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 173.13/27.04            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 173.13/27.04          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 173.13/27.04          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.13/27.04          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 173.13/27.04            all_58_30 = e0 & e1 = e0)
% 173.13/27.04    (66)  all_54_7 = all_52_13
% 173.13/27.04    (67)  all_58_23 = e0
% 173.13/27.04  
% 173.13/27.04  Begin of proof
% 173.13/27.04  | 
% 173.13/27.04  | BETA: splitting (49) gives:
% 173.13/27.04  | 
% 173.13/27.04  | Case 1:
% 173.13/27.04  | | 
% 173.13/27.04  | |   (68)  all_54_12 = e1
% 173.13/27.04  | | 
% 173.13/27.04  | | REF_CLOSE: (31), (55), (68) are inconsistent by sub-proof #812.
% 173.13/27.04  | | 
% 173.13/27.04  | Case 2:
% 173.13/27.04  | | 
% 173.13/27.04  | |   (69)  all_54_12 = e3 | all_54_12 = e2
% 173.13/27.04  | | 
% 173.13/27.04  | | BETA: splitting (9) gives:
% 173.13/27.04  | | 
% 173.13/27.04  | | Case 1:
% 173.13/27.04  | | | 
% 173.13/27.04  | | |   (70)  all_58_30 = e1
% 173.13/27.04  | | | 
% 173.13/27.04  | | | COMBINE_EQS: (21), (70) imply:
% 173.13/27.04  | | |   (71)  all_52_14 = e1
% 173.13/27.04  | | | 
% 173.13/27.04  | | | COMBINE_EQS: (19), (71) imply:
% 173.13/27.04  | | |   (72)  all_56_11 = e1
% 173.13/27.04  | | | 
% 173.13/27.04  | | | REDUCE: (40), (71) imply:
% 173.13/27.04  | | |   (73)   ~ (all_52_6 = e1)
% 173.13/27.04  | | | 
% 173.13/27.04  | | | REDUCE: (35), (71) imply:
% 173.13/27.04  | | |   (74)   ~ (all_52_13 = e1)
% 173.13/27.04  | | | 
% 173.13/27.04  | | | REDUCE: (51), (71) imply:
% 173.13/27.04  | | |   (75)   ~ (all_14_2 = e1)
% 173.13/27.04  | | | 
% 173.13/27.04  | | | SIMP: (75) implies:
% 173.13/27.04  | | |   (76)   ~ (all_14_2 = e1)
% 173.13/27.04  | | | 
% 173.13/27.04  | | | REDUCE: (48), (71) imply:
% 173.13/27.04  | | |   (77)   ~ (all_10_2 = e1)
% 173.13/27.04  | | | 
% 173.13/27.04  | | | SIMP: (77) implies:
% 173.13/27.04  | | |   (78)   ~ (all_10_2 = e1)
% 173.13/27.04  | | | 
% 173.13/27.04  | | | REDUCE: (61), (71) imply:
% 173.13/27.04  | | |   (79)   ~ (e1 = e0)
% 173.13/27.04  | | | 
% 173.13/27.04  | | | BETA: splitting (22) gives:
% 173.13/27.04  | | | 
% 173.13/27.04  | | | Case 1:
% 173.13/27.04  | | | | 
% 173.13/27.04  | | | |   (80)  all_56_9 = e2
% 173.13/27.04  | | | | 
% 173.13/27.04  | | | | REF_CLOSE: (2), (17), (26), (42), (53), (60), (80) are inconsistent by
% 173.13/27.04  | | | |            sub-proof #431.
% 173.13/27.04  | | | | 
% 173.13/27.04  | | | Case 2:
% 173.13/27.04  | | | | 
% 173.13/27.04  | | | |   (81)  all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 173.13/27.04  | | | | 
% 173.13/27.04  | | | | BETA: splitting (69) gives:
% 173.13/27.04  | | | | 
% 173.13/27.04  | | | | Case 1:
% 173.13/27.04  | | | | | 
% 173.13/27.04  | | | | |   (82)  all_54_12 = e2
% 173.13/27.04  | | | | | 
% 173.13/27.04  | | | | | REF_CLOSE: (20), (55), (82) are inconsistent by sub-proof #811.
% 173.13/27.04  | | | | | 
% 173.13/27.04  | | | | Case 2:
% 173.13/27.04  | | | | | 
% 173.13/27.04  | | | | |   (83)  all_54_12 = e3
% 173.13/27.04  | | | | | 
% 173.13/27.04  | | | | | COMBINE_EQS: (55), (83) imply:
% 173.13/27.04  | | | | |   (84)  all_52_3 = e3
% 173.13/27.04  | | | | | 
% 173.13/27.04  | | | | | SIMP: (84) implies:
% 173.13/27.04  | | | | |   (85)  all_52_3 = e3
% 173.13/27.04  | | | | | 
% 173.13/27.04  | | | | | COMBINE_EQS: (23), (85) imply:
% 173.13/27.04  | | | | |   (86)  all_58_19 = e3
% 173.13/27.04  | | | | | 
% 173.13/27.04  | | | | | BETA: splitting (15) gives:
% 173.13/27.04  | | | | | 
% 173.13/27.04  | | | | | Case 1:
% 173.13/27.04  | | | | | | 
% 173.13/27.04  | | | | | |   (87)  all_56_6 = e3
% 173.13/27.04  | | | | | | 
% 173.13/27.04  | | | | | | REF_CLOSE: (37), (43), (87) are inconsistent by sub-proof #574.
% 173.13/27.04  | | | | | | 
% 173.13/27.04  | | | | | Case 2:
% 173.13/27.04  | | | | | | 
% 173.13/27.04  | | | | | |   (88)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 173.13/27.04  | | | | | | 
% 173.13/27.04  | | | | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (10), (11), (12),
% 173.13/27.04  | | | | | |            (13), (14), (16), (17), (18), (24), (25), (26), (27),
% 173.13/27.04  | | | | | |            (28), (29), (30), (32), (33), (34), (36), (37), (38),
% 173.13/27.04  | | | | | |            (39), (41), (42), (44), (45), (46), (47), (50), (52),
% 173.13/27.04  | | | | | |            (53), (54), (56), (57), (58), (62), (63), (64), (65),
% 173.13/27.04  | | | | | |            (66), (67), (70), (72), (73), (74), (76), (78), (79),
% 173.13/27.04  | | | | | |            (81), (86), (88) are inconsistent by sub-proof #422.
% 173.13/27.04  | | | | | | 
% 173.13/27.04  | | | | | End of split
% 173.13/27.04  | | | | | 
% 173.13/27.04  | | | | End of split
% 173.13/27.04  | | | | 
% 173.13/27.04  | | | End of split
% 173.13/27.04  | | | 
% 173.13/27.04  | | Case 2:
% 173.13/27.04  | | | 
% 173.13/27.04  | | |   (89)  all_58_28 = e3 | all_58_29 = e2
% 173.13/27.04  | | | 
% 173.13/27.04  | | | REF_CLOSE: (32), (36), (37), (38), (89) are inconsistent by sub-proof
% 173.13/27.04  | | |            #844.
% 173.13/27.04  | | | 
% 173.13/27.04  | | End of split
% 173.13/27.04  | | 
% 173.13/27.04  | End of split
% 173.13/27.04  | 
% 173.13/27.04  End of proof
% 173.13/27.04  
% 173.13/27.04  Sub-proof #422 shows that the following formulas are inconsistent:
% 173.13/27.04  ----------------------------------------------------------------
% 173.13/27.04    (1)  all_56_1 = all_52_4
% 173.13/27.04    (2)   ~ (all_52_4 = all_4_2)
% 173.13/27.04    (3)   ~ (all_52_6 = all_4_2)
% 173.13/27.04    (4)   ~ (all_14_2 = e1)
% 173.13/27.04    (5)   ~ (all_52_13 = e1)
% 173.13/27.04    (6)  all_56_15 = all_14_2
% 173.13/27.04    (7)  all_56_0 = e1
% 173.13/27.04    (8)   ~ (all_52_6 = e1)
% 173.13/27.04    (9)  all_54_1 = all_52_4
% 173.13/27.04    (10)   ~ (all_14_2 = e0)
% 173.13/27.04    (11)   ~ (all_52_4 = e1)
% 173.13/27.04    (12)  all_58_26 = all_10_2
% 173.13/27.04    (13)   ~ (all_52_4 = all_52_6)
% 173.13/27.04    (14)  all_58_31 = all_14_2
% 173.13/27.04    (15)  all_58_25 = e0
% 173.13/27.04    (16)   ~ (all_52_4 = e0)
% 173.13/27.04    (17)  all_56_9 = e0
% 173.13/27.04    (18)  all_58_18 = e0
% 173.13/27.04    (19)  all_56_11 = e1
% 173.13/27.04    (20)   ~ (all_10_2 = e1)
% 173.13/27.04    (21)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 173.13/27.04    (22)  all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 173.13/27.04    (23)   ~ (e2 = e1)
% 173.13/27.04    (24)  all_58_19 = e3
% 173.13/27.04    (25)  all_58_16 = e1
% 173.13/27.04    (26)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 173.13/27.04    (27)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 173.13/27.04    (28)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 173.13/27.04    (29)   ~ (all_52_13 = all_14_2)
% 173.13/27.04    (30)  all_58_28 = e0
% 173.13/27.04    (31)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 173.13/27.04    (32)  all_54_9 = all_52_6
% 173.13/27.04    (33)   ~ (all_52_13 = e2)
% 173.13/27.04    (34)  all_58_30 = e1
% 173.13/27.04    (35)   ~ (e3 = e0)
% 173.13/27.04    (36)  all_58_29 = all_52_13
% 173.13/27.04    (37)   ~ (all_4_2 = e0)
% 173.13/27.04    (38)  all_56_4 = all_52_8
% 173.13/27.04    (39)  all_58_17 = e2
% 173.13/27.04    (40)  all_56_13 = e0
% 173.13/27.04    (41)  all_58_24 = all_52_8
% 173.13/27.04    (42)  all_58_22 = all_52_6
% 173.13/27.04    (43)  all_56_3 = all_4_2
% 173.13/27.04    (44)   ~ (all_52_4 = all_52_8)
% 173.13/27.04    (45)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 173.13/27.04    (46)  all_58_16 = e3 | all_58_17 = e2
% 173.13/27.04    (47)   ~ (all_52_6 = e0)
% 173.13/27.04    (48)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 173.13/27.04    (49)  all_58_21 = all_4_2
% 173.13/27.04    (50)  all_56_10 = all_52_13
% 173.13/27.04    (51)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 173.13/27.04    (52)   ~ (e1 = e0)
% 173.13/27.04    (53)  all_56_7 = all_52_6
% 173.13/27.04    (54)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 173.13/27.04    (55)  all_54_5 = all_4_2
% 173.13/27.04    (56)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 173.13/27.04          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 173.13/27.04          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.13/27.04          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 173.13/27.04          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.13/27.04          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 173.13/27.04          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.13/27.04          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 173.13/27.04          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 173.13/27.04          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 173.13/27.04            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 173.13/27.04            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 173.13/27.04            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 173.13/27.04            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 173.13/27.04            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 173.13/27.04            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 173.13/27.04            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 173.13/27.04            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 173.13/27.04            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 173.13/27.04            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 173.13/27.04            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 173.13/27.04            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 173.13/27.04            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 173.13/27.04            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 173.13/27.04            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 173.13/27.04            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 173.13/27.04          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 173.13/27.04          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.13/27.04          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 173.13/27.04            all_58_30 = e0 & e1 = e0)
% 173.13/27.04    (57)  all_54_7 = all_52_13
% 173.13/27.04    (58)  all_58_23 = e0
% 173.13/27.04  
% 173.13/27.04  Begin of proof
% 173.13/27.04  | 
% 173.13/27.04  | BETA: splitting (22) gives:
% 173.13/27.04  | 
% 173.13/27.04  | Case 1:
% 173.13/27.04  | | 
% 173.13/27.04  | |   (59)  all_56_10 = e2
% 173.13/27.04  | | 
% 173.13/27.04  | | REF_CLOSE: (33), (50), (59) are inconsistent by sub-proof #517.
% 173.13/27.04  | | 
% 173.13/27.04  | Case 2:
% 173.13/27.04  | | 
% 173.13/27.04  | |   (60)  all_56_11 = e2 | all_56_15 = e2
% 173.13/27.04  | | 
% 173.13/27.04  | | BETA: splitting (60) gives:
% 173.13/27.04  | | 
% 173.13/27.04  | | Case 1:
% 173.13/27.04  | | | 
% 173.13/27.04  | | |   (61)  all_56_11 = e2
% 173.13/27.04  | | | 
% 173.13/27.04  | | | COMBINE_EQS: (19), (61) imply:
% 173.13/27.04  | | |   (62)  e2 = e1
% 173.13/27.04  | | | 
% 173.13/27.04  | | | SIMP: (62) implies:
% 173.13/27.04  | | |   (63)  e2 = e1
% 173.13/27.04  | | | 
% 173.13/27.04  | | | REDUCE: (23), (63) imply:
% 173.13/27.04  | | |   (64)  $false
% 173.13/27.04  | | | 
% 173.13/27.04  | | | CLOSE: (64) is inconsistent.
% 173.13/27.04  | | | 
% 173.13/27.04  | | Case 2:
% 173.13/27.04  | | | 
% 173.13/27.04  | | |   (65)  all_56_15 = e2
% 173.13/27.04  | | | 
% 173.13/27.04  | | | COMBINE_EQS: (6), (65) imply:
% 173.13/27.04  | | |   (66)  all_14_2 = e2
% 173.13/27.04  | | | 
% 173.13/27.04  | | | SIMP: (66) implies:
% 173.13/27.04  | | |   (67)  all_14_2 = e2
% 173.13/27.04  | | | 
% 173.13/27.04  | | | COMBINE_EQS: (14), (67) imply:
% 173.13/27.04  | | |   (68)  all_58_31 = e2
% 173.13/27.04  | | | 
% 173.13/27.04  | | | REDUCE: (10), (67) imply:
% 173.13/27.04  | | |   (69)   ~ (e2 = e0)
% 173.13/27.04  | | | 
% 173.13/27.04  | | | BETA: splitting (26) gives:
% 173.13/27.04  | | | 
% 173.13/27.04  | | | Case 1:
% 173.13/27.04  | | | | 
% 173.13/27.04  | | | |   (70)  all_56_9 = e3
% 173.13/27.04  | | | | 
% 173.13/27.04  | | | | COMBINE_EQS: (17), (70) imply:
% 173.13/27.04  | | | |   (71)  e3 = e0
% 173.13/27.04  | | | | 
% 173.13/27.04  | | | | REDUCE: (35), (71) imply:
% 173.13/27.04  | | | |   (72)  $false
% 173.13/27.04  | | | | 
% 173.13/27.04  | | | | CLOSE: (72) is inconsistent.
% 173.13/27.04  | | | | 
% 173.13/27.04  | | | Case 2:
% 173.13/27.04  | | | | 
% 173.13/27.04  | | | |   (73)  all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 173.13/27.04  | | | | 
% 173.13/27.04  | | | | BETA: splitting (28) gives:
% 173.13/27.04  | | | | 
% 173.13/27.04  | | | | Case 1:
% 173.13/27.04  | | | | | 
% 173.13/27.04  | | | | |   (74)  all_54_7 = e1
% 173.13/27.04  | | | | | 
% 173.13/27.04  | | | | | REF_CLOSE: (5), (57), (74) are inconsistent by sub-proof #712.
% 173.13/27.04  | | | | | 
% 173.13/27.04  | | | | Case 2:
% 173.13/27.04  | | | | | 
% 173.13/27.04  | | | | |   (75)   ~ (all_54_7 = e1)
% 173.13/27.04  | | | | |   (76)  all_54_7 = e3 | all_54_7 = e2
% 173.13/27.04  | | | | | 
% 173.13/27.04  | | | | | BETA: splitting (73) gives:
% 173.13/27.04  | | | | | 
% 173.13/27.04  | | | | | Case 1:
% 173.13/27.04  | | | | | | 
% 173.13/27.04  | | | | | |   (77)  all_56_10 = e3
% 173.13/27.04  | | | | | | 
% 173.13/27.04  | | | | | | COMBINE_EQS: (50), (77) imply:
% 173.13/27.04  | | | | | |   (78)  all_52_13 = e3
% 173.13/27.04  | | | | | | 
% 173.13/27.04  | | | | | | SIMP: (78) implies:
% 173.13/27.04  | | | | | |   (79)  all_52_13 = e3
% 173.13/27.04  | | | | | | 
% 173.13/27.04  | | | | | | COMBINE_EQS: (36), (79) imply:
% 173.13/27.04  | | | | | |   (80)  all_58_29 = e3
% 173.13/27.04  | | | | | | 
% 173.13/27.04  | | | | | | REDUCE: (33), (79) imply:
% 173.13/27.04  | | | | | |   (81)   ~ (e3 = e2)
% 173.13/27.04  | | | | | | 
% 173.13/27.04  | | | | | | REDUCE: (5), (79) imply:
% 173.13/27.04  | | | | | |   (82)   ~ (e3 = e1)
% 173.13/27.04  | | | | | | 
% 173.13/27.04  | | | | | | BETA: splitting (56) gives:
% 173.13/27.04  | | | | | | 
% 173.13/27.04  | | | | | | Case 1:
% 173.13/27.04  | | | | | | | 
% 173.13/27.04  | | | | | | |   (83)  all_58_31 = e0
% 173.13/27.04  | | | | | | | 
% 173.13/27.04  | | | | | | | COMBINE_EQS: (68), (83) imply:
% 173.13/27.04  | | | | | | |   (84)  e2 = e0
% 173.13/27.04  | | | | | | | 
% 173.13/27.04  | | | | | | | REF_CLOSE: (25), (39), (46), (69), (82), (84) are inconsistent by
% 173.13/27.04  | | | | | | |            sub-proof #979.
% 173.13/27.04  | | | | | | | 
% 173.13/27.04  | | | | | | Case 2:
% 173.13/27.04  | | | | | | | 
% 173.13/27.04  | | | | | | |   (85)   ~ (all_58_31 = e0)
% 173.13/27.04  | | | | | | |   (86)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 |
% 173.13/27.04  | | | | | | |         (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 173.13/27.04  | | | | | | |           all_58_24 = e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 173.13/27.04  | | | | | | |           all_58_20 = e3 & all_58_28 = e0) | (all_58_17 = e3 &
% 173.13/27.04  | | | | | | |           all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 173.13/27.04  | | | | | | |         (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 173.13/27.04  | | | | | | |           all_58_29 = e2) | (all_58_17 = e2 & all_58_18 = e3 &
% 173.13/27.04  | | | | | | |           all_58_20 = e2 & all_58_24 = e3) | (all_58_17 = e2 &
% 173.13/27.04  | | | | | | |           all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.13/27.04  | | | | | | |         (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 173.13/27.04  | | | | | | |           all_58_25 = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 173.13/27.04  | | | | | | |           all_58_23 = e0 & all_58_29 = e0) | (all_58_17 = e2 &
% 173.13/27.04  | | | | | | |           all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19
% 173.13/27.04  | | | | | | |           = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 =
% 173.13/27.04  | | | | | | |           e3 & all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 173.13/27.04  | | | | | | |         (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 173.13/27.04  | | | | | | |           all_58_30 = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 173.13/27.04  | | | | | | |           all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 173.13/27.04  | | | | | | |           all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 173.13/27.04  | | | | | | |         (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 173.13/27.04  | | | | | | |           all_58_30 = e0) | (all_58_18 = e1 & all_58_24 = e1 & e3
% 173.13/27.04  | | | | | | |           = e1) | (all_58_19 = e3 & all_58_23 = e0 & all_58_28 =
% 173.13/27.04  | | | | | | |           e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0
% 173.13/27.04  | | | | | | |           & all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 &
% 173.13/27.04  | | | | | | |           all_58_23 = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 173.13/27.04  | | | | | | |         (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 173.13/27.04  | | | | | | |           all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 & e3
% 173.13/27.04  | | | | | | |           = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 =
% 173.13/27.04  | | | | | | |           e2 & all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2
% 173.13/27.04  | | | | | | |           & all_58_27 = e1 & all_58_30 = e1) | (all_58_22 = e1 &
% 173.13/27.04  | | | | | | |           all_58_23 = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 173.13/27.04  | | | | | | |         (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 173.13/27.04  | | | | | | |           all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2
% 173.13/27.04  | | | | | | |           = e1) | (all_58_23 = e2 & all_58_27 = e0 & all_58_29 =
% 173.13/27.04  | | | | | | |           e2 & all_58_30 = e0) | (all_58_23 = e0 & all_58_27 = e1
% 173.13/27.04  | | | | | | |           & all_58_29 = e0 & all_58_30 = e1) | (all_58_23 = e0 &
% 173.13/27.04  | | | | | | |           all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30
% 173.13/27.04  | | | | | | |           = e0 & e1 = e0)
% 173.13/27.04  | | | | | | | 
% 173.13/27.04  | | | | | | | BETA: splitting (86) gives:
% 173.13/27.04  | | | | | | | 
% 173.13/27.04  | | | | | | | Case 1:
% 173.13/27.04  | | | | | | | | 
% 173.13/27.04  | | | | | | | |   (87)  all_58_26 = e1
% 173.13/27.04  | | | | | | | | 
% 173.13/27.04  | | | | | | | | REF_CLOSE: (12), (20), (87) are inconsistent by sub-proof #968.
% 173.13/27.04  | | | | | | | | 
% 173.13/27.04  | | | | | | | Case 2:
% 173.13/27.04  | | | | | | | | 
% 173.13/27.04  | | | | | | | |   (88)   ~ (all_58_26 = e1)
% 173.13/27.04  | | | | | | | |   (89)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3 &
% 173.13/27.04  | | | | | | | |           all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 173.13/27.04  | | | | | | | |         (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 173.13/27.04  | | | | | | | |           all_58_28 = e0) | (all_58_17 = e3 & all_58_20 = e3 &
% 173.13/27.04  | | | | | | | |           all_58_22 = e2 & all_58_25 = e2) | (all_58_17 = e3 &
% 173.13/27.04  | | | | | | | |           all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.13/27.04  | | | | | | | |         (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 173.13/27.04  | | | | | | | |           all_58_24 = e3) | (all_58_17 = e2 & all_58_19 = e3 &
% 173.13/27.04  | | | | | | | |           all_58_20 = e2 & all_58_28 = e3) | (all_58_17 = e2 &
% 173.13/27.04  | | | | | | | |           all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 173.13/27.04  | | | | | | | |         (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 173.13/27.04  | | | | | | | |           all_58_29 = e0) | (all_58_17 = e2 & all_58_20 = e2 &
% 173.13/27.04  | | | | | | | |           e3 = e2) | (all_58_18 = e3 & all_58_19 = e0 &
% 173.13/27.04  | | | | | | | |           all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 173.13/27.04  | | | | | | | |           all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 173.13/27.04  | | | | | | | |         (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 173.13/27.04  | | | | | | | |           all_58_30 = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 173.13/27.04  | | | | | | | |           all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 173.13/27.04  | | | | | | | |           all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 173.13/27.04  | | | | | | | |         (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 173.13/27.04  | | | | | | | |           all_58_30 = e0) | (all_58_18 = e1 & all_58_24 = e1 &
% 173.13/27.04  | | | | | | | |           e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 173.13/27.04  | | | | | | | |           all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 &
% 173.13/27.04  | | | | | | | |           all_58_27 = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 173.13/27.04  | | | | | | | |         (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 173.13/27.04  | | | | | | | |           all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 173.13/27.04  | | | | | | | |           all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 &
% 173.13/27.04  | | | | | | | |           all_58_28 = e0 & e3 = e0) | (all_58_22 = e2 &
% 173.13/27.04  | | | | | | | |           all_58_23 = e0 & all_58_25 = e2 & all_58_29 = e0) |
% 173.13/27.04  | | | | | | | |         (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 173.13/27.04  | | | | | | | |           all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 &
% 173.13/27.04  | | | | | | | |           all_58_25 = e1 & all_58_29 = e2) | (all_58_22 = e1 &
% 173.13/27.04  | | | | | | | |           all_58_25 = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 173.13/27.04  | | | | | | | |         (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) | (all_58_23
% 173.13/27.04  | | | | | | | |           = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 =
% 173.13/27.04  | | | | | | | |           e0) | (all_58_23 = e0 & all_58_27 = e1 & all_58_29 =
% 173.13/27.04  | | | | | | | |           e0 & all_58_30 = e1) | (all_58_23 = e0 & all_58_29 =
% 173.13/27.04  | | | | | | | |           e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 = e0 & e1
% 173.13/27.04  | | | | | | | |           = e0)
% 173.13/27.04  | | | | | | | | 
% 173.13/27.04  | | | | | | | | BETA: splitting (21) gives:
% 173.13/27.04  | | | | | | | | 
% 173.13/27.04  | | | | | | | | Case 1:
% 173.13/27.04  | | | | | | | | | 
% 173.13/27.04  | | | | | | | | |   (90)  all_58_26 = e1
% 173.13/27.04  | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | REF_CLOSE: (12), (20), (90) are inconsistent by sub-proof
% 173.13/27.04  | | | | | | | | |            #968.
% 173.13/27.04  | | | | | | | | | 
% 173.13/27.04  | | | | | | | | Case 2:
% 173.13/27.04  | | | | | | | | | 
% 173.13/27.04  | | | | | | | | |   (91)  all_58_24 = e3 | all_58_25 = e2
% 173.13/27.04  | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | BETA: splitting (91) gives:
% 173.13/27.04  | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | Case 1:
% 173.13/27.04  | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | |   (92)  all_58_25 = e2
% 173.13/27.04  | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | COMBINE_EQS: (15), (92) imply:
% 173.13/27.04  | | | | | | | | | |   (93)  e2 = e0
% 173.13/27.04  | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | COMBINE_EQS: (39), (93) imply:
% 173.13/27.04  | | | | | | | | | |   (94)  all_58_17 = e0
% 173.13/27.04  | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | REF_CLOSE: (25), (46), (69), (82), (94) are inconsistent by
% 173.13/27.04  | | | | | | | | | |            sub-proof #980.
% 173.13/27.04  | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | Case 2:
% 173.13/27.04  | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | |   (95)  all_58_24 = e3
% 173.13/27.04  | | | | | | | | | |   (96)   ~ (all_58_25 = e2)
% 173.13/27.04  | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | COMBINE_EQS: (41), (95) imply:
% 173.13/27.04  | | | | | | | | | |   (97)  all_52_8 = e3
% 173.13/27.04  | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | SIMP: (97) implies:
% 173.13/27.04  | | | | | | | | | |   (98)  all_52_8 = e3
% 173.13/27.04  | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | COMBINE_EQS: (38), (98) imply:
% 173.13/27.04  | | | | | | | | | |   (99)  all_56_4 = e3
% 173.13/27.04  | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | REDUCE: (15), (96) imply:
% 173.13/27.04  | | | | | | | | | |   (100)   ~ (e2 = e0)
% 173.13/27.04  | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | REDUCE: (44), (98) imply:
% 173.13/27.04  | | | | | | | | | |   (101)   ~ (all_52_4 = e3)
% 173.13/27.04  | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | BETA: splitting (27) gives:
% 173.13/27.04  | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | Case 1:
% 173.13/27.04  | | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | |   (102)  all_56_0 = e2
% 173.13/27.04  | | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | | COMBINE_EQS: (7), (102) imply:
% 173.13/27.04  | | | | | | | | | | |   (103)  e2 = e1
% 173.13/27.04  | | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | | REDUCE: (23), (103) imply:
% 173.13/27.04  | | | | | | | | | | |   (104)  $false
% 173.13/27.04  | | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | | CLOSE: (104) is inconsistent.
% 173.13/27.04  | | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | Case 2:
% 173.13/27.04  | | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | |   (105)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 173.13/27.04  | | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | | BETA: splitting (105) gives:
% 173.13/27.04  | | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | | Case 1:
% 173.13/27.04  | | | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | | |   (106)  all_56_1 = e2
% 173.13/27.04  | | | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | | | COMBINE_EQS: (1), (106) imply:
% 173.13/27.04  | | | | | | | | | | | |   (107)  all_52_4 = e2
% 173.13/27.04  | | | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | | | SIMP: (107) implies:
% 173.13/27.04  | | | | | | | | | | | |   (108)  all_52_4 = e2
% 173.13/27.04  | | | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | | | REDUCE: (13), (108) imply:
% 173.13/27.04  | | | | | | | | | | | |   (109)   ~ (all_52_6 = e2)
% 173.13/27.04  | | | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | | | SIMP: (109) implies:
% 173.13/27.04  | | | | | | | | | | | |   (110)   ~ (all_52_6 = e2)
% 173.13/27.04  | | | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | | | REDUCE: (2), (108) imply:
% 173.13/27.04  | | | | | | | | | | | |   (111)   ~ (all_4_2 = e2)
% 173.13/27.04  | | | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | | | SIMP: (111) implies:
% 173.13/27.04  | | | | | | | | | | | |   (112)   ~ (all_4_2 = e2)
% 173.13/27.04  | | | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | | | BETA: splitting (48) gives:
% 173.13/27.04  | | | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | | | Case 1:
% 173.13/27.04  | | | | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | | | |   (113)  all_54_5 = e1
% 173.13/27.04  | | | | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | | | | COMBINE_EQS: (55), (113) imply:
% 173.13/27.04  | | | | | | | | | | | | |   (114)  all_4_2 = e1
% 173.13/27.04  | | | | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | | | | SIMP: (114) implies:
% 173.13/27.04  | | | | | | | | | | | | |   (115)  all_4_2 = e1
% 173.13/27.04  | | | | | | | | | | | | | 
% 173.13/27.04  | | | | | | | | | | | | | COMBINE_EQS: (49), (115) imply:
% 173.13/27.05  | | | | | | | | | | | | |   (116)  all_58_21 = e1
% 173.13/27.05  | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | REDUCE: (112), (115) imply:
% 173.13/27.05  | | | | | | | | | | | | |   (117)   ~ (e2 = e1)
% 173.13/27.05  | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | BETA: splitting (54) gives:
% 173.13/27.05  | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | |   (118)  all_56_7 = e3
% 173.13/27.05  | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | COMBINE_EQS: (53), (118) imply:
% 173.13/27.05  | | | | | | | | | | | | | |   (119)  all_52_6 = e3
% 173.13/27.05  | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | SIMP: (119) implies:
% 173.13/27.05  | | | | | | | | | | | | | |   (120)  all_52_6 = e3
% 173.13/27.05  | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | COMBINE_EQS: (42), (120) imply:
% 173.13/27.05  | | | | | | | | | | | | | |   (121)  all_58_22 = e3
% 173.13/27.05  | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | BETA: splitting (89) gives:
% 173.13/27.05  | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | |   (122)  all_58_21 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | COMBINE_EQS: (116), (122) imply:
% 173.13/27.05  | | | | | | | | | | | | | | |   (123)  e2 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | COMBINE_EQS: (106), (123) imply:
% 173.13/27.05  | | | | | | | | | | | | | | |   (124)  all_56_1 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (69), (81), (99), (105), (124) are
% 173.13/27.05  | | | | | | | | | | | | | | |            inconsistent by sub-proof #430.
% 173.13/27.05  | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | Case 2:
% 173.13/27.05  | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | |   (125)  all_58_16 = e3 | (all_58_17 = e3 & all_58_18 = e1
% 173.13/27.05  | | | | | | | | | | | | | | |            & all_58_20 = e3 & all_58_24 = e1) | (all_58_17
% 173.13/27.05  | | | | | | | | | | | | | | |            = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 173.13/27.05  | | | | | | | | | | | | | | |            all_58_28 = e0) | (all_58_17 = e3 & all_58_20 =
% 173.13/27.05  | | | | | | | | | | | | | | |            e3 & all_58_22 = e2 & all_58_25 = e2) |
% 173.13/27.05  | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 173.13/27.05  | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 173.13/27.05  | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 173.13/27.05  | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 173.13/27.05  | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 173.13/27.05  | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 173.13/27.05  | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 173.13/27.05  | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 173.13/27.05  | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 173.13/27.05  | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 173.13/27.05  | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 173.13/27.05  | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 173.13/27.05  | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 173.13/27.05  | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 173.13/27.05  | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 173.13/27.05  | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 173.13/27.05  | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 173.13/27.05  | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_18 = e1 & all_58_24
% 173.13/27.05  | | | | | | | | | | | | | | |            = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 =
% 173.13/27.05  | | | | | | | | | | | | | | |            e0 & all_58_28 = e3 & all_58_29 = e0) |
% 173.13/27.05  | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3
% 173.13/27.05  | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_19 = e0 & all_58_23
% 173.13/27.05  | | | | | | | | | | | | | | |            = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 173.13/27.05  | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0
% 173.13/27.05  | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_19 = e0 & all_58_28
% 173.13/27.05  | | | | | | | | | | | | | | |            = e0 & e3 = e0) | (all_58_22 = e2 & all_58_23 =
% 173.13/27.05  | | | | | | | | | | | | | | |            e0 & all_58_25 = e2 & all_58_29 = e0) |
% 173.13/27.05  | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 173.13/27.05  | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 173.13/27.05  | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 173.13/27.05  | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 173.13/27.05  | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 173.13/27.05  | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 173.13/27.05  | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 173.13/27.05  | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 173.13/27.05  | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 173.13/27.05  | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 173.13/27.05  | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 173.13/27.05  | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | BETA: splitting (125) gives:
% 173.13/27.05  | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | |   (126)  all_58_16 = e3
% 173.13/27.05  | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | COMBINE_EQS: (25), (126) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | |   (127)  e3 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | COMBINE_EQS: (95), (127) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | |   (128)  all_58_24 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | REF_CLOSE: (15), (69), (82), (91), (128) are inconsistent by
% 173.13/27.05  | | | | | | | | | | | | | | | |            sub-proof #967.
% 173.13/27.05  | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | Case 2:
% 173.13/27.05  | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | |   (129)   ~ (all_58_16 = e3)
% 173.13/27.05  | | | | | | | | | | | | | | | |   (130)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 173.13/27.05  | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 173.13/27.05  | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.13/27.05  | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 173.13/27.05  | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.13/27.05  | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 173.13/27.05  | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.13/27.05  | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 173.13/27.05  | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 173.13/27.05  | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 173.13/27.05  | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 173.13/27.05  | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 173.13/27.05  | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 173.13/27.05  | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 173.13/27.05  | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 173.13/27.05  | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 173.13/27.05  | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 173.13/27.05  | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 173.13/27.05  | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.13/27.05  | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.13/27.05  | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 173.13/27.05  | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.13/27.05  | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 173.13/27.05  | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.13/27.05  | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 173.13/27.05  | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 173.13/27.05  | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 173.13/27.05  | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 173.13/27.05  | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 173.13/27.05  | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 173.13/27.05  | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.13/27.05  | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 173.13/27.05  | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 173.13/27.05  | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | REDUCE: (25), (129) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | |   (131)   ~ (e3 = e1)
% 173.13/27.05  | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | BETA: splitting (130) gives:
% 173.13/27.05  | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | |   (132)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 173.13/27.05  | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 173.13/27.05  | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.13/27.05  | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 173.13/27.05  | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.13/27.05  | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 173.13/27.05  | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.13/27.05  | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 173.13/27.05  | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 173.13/27.05  | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 173.13/27.05  | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 173.13/27.05  | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 173.13/27.05  | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 173.13/27.05  | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 173.13/27.05  | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 173.13/27.05  | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 173.13/27.05  | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 173.13/27.05  | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | BETA: splitting (132) gives:
% 173.13/27.05  | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | |   (133)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 173.13/27.05  | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 173.13/27.05  | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.13/27.05  | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 173.13/27.05  | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.13/27.05  | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 173.13/27.05  | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.13/27.05  | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 173.13/27.05  | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | BETA: splitting (133) gives:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |   (134)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2)
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | BETA: splitting (134) gives:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |   (135)  all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |          all_58_24 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | ALPHA: (135) implies:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |   (136)  all_58_24 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (69), (82), (91), (136) are inconsistent by
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |            sub-proof #967.
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |   (137)  (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_17 = e3 & all_58_20
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_22 = e2 & all_58_25 = e2)
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | BETA: splitting (137) gives:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (138)  all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (25), (46), (69), (82), (138) are
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #553.
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (139)  all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 &
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | ALPHA: (139) implies:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (140)  all_58_25 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (141)  all_58_22 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (142)  all_58_17 = e3
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (121), (141) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (143)  e3 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | SIMP: (143) implies:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (144)  e3 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15), (140) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (145)  e2 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (46), (69), (82), (142), (144), (145) are
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #554.
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |   (146)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | BETA: splitting (146) gives:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |   (147)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3)
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (148)  all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | ALPHA: (148) implies:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (149)  all_58_29 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (150)  all_58_23 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (151)  all_58_17 = e3
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (58), (150) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (152)  e2 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (80), (149) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (153)  e3 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (46), (69), (82), (151), (152), (153) are
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #554.
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (154)  all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e3
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | ALPHA: (154) implies:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (155)  all_58_18 = e3
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18), (155) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (156)  e3 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (156) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (157)  $false
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | CLOSE: (157) is inconsistent.
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |   (158)  (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (159)  all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 &
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | ALPHA: (159) implies:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (160)  all_58_28 = e3
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (35), (160) are inconsistent by sub-proof
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |            #429.
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (161)  all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | ALPHA: (161) implies:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (162)  all_58_25 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15), (162) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (163)  e1 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (163) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (164)  $false
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | CLOSE: (164) is inconsistent.
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.05  | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | |   (165)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 173.13/27.05  | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 173.13/27.05  | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 173.13/27.05  | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 173.13/27.05  | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 173.13/27.05  | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 173.13/27.05  | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 173.13/27.05  | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 173.13/27.05  | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | |            & all_58_30 = e0)
% 173.13/27.05  | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |   (166)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |   (167)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2)
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (168)  all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | ALPHA: (168) implies:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (169)  all_58_29 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (80), (169) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (170)  e3 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (170) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (171)  $false
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | CLOSE: (171) is inconsistent.
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (172)  all_58_17 = e2 & all_58_20 = e2 & e3 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | ALPHA: (172) implies:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (173)  e3 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (173) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (174)  $false
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | CLOSE: (174) is inconsistent.
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |   (175)  (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1)
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (176)  all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (35), (176) are inconsistent by sub-proof
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |            #428.
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (177)  all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 &
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | ALPHA: (177) implies:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (178)  all_58_22 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (179)  all_58_18 = e3
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18), (179) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (180)  e3 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (121), (178) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (181)  e3 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (52), (180), (181) are inconsistent by sub-proof
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |            #427.
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |   (182)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |   (183)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3)
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (184)  all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | ALPHA: (184) implies:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (185)  all_58_18 = e3
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18), (185) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (186)  e3 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (186) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (187)  $false
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | CLOSE: (187) is inconsistent.
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (188)  all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | ALPHA: (188) implies:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (189)  all_58_24 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (69), (82), (91), (189) are inconsistent by
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |            sub-proof #967.
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |   (190)  (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (69), (82), (91), (190) are inconsistent by
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |            sub-proof #740.
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.05  | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | End of split
% 173.13/27.05  | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.05  | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | |   (191)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 173.13/27.05  | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.13/27.05  | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.13/27.05  | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 173.13/27.05  | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.13/27.05  | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 173.13/27.05  | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.13/27.05  | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 173.13/27.05  | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 173.13/27.05  | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 173.13/27.05  | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 173.13/27.05  | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 173.13/27.05  | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 173.13/27.05  | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.13/27.05  | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 173.13/27.05  | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 173.13/27.05  | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 173.13/27.05  | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | |   (192)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 173.13/27.05  | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.13/27.05  | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.13/27.05  | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 173.13/27.05  | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.13/27.05  | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 173.13/27.05  | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.13/27.05  | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 173.13/27.05  | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |   (193)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |   (194)  all_58_18 = e1 & all_58_24 = e1 & e3 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | ALPHA: (194) implies:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |   (195)  all_58_24 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (69), (82), (91), (195) are inconsistent by
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |            sub-proof #967.
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |   (196)  (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (197)  all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | ALPHA: (197) implies:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (198)  all_58_29 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (80), (198) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (199)  e3 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (199) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (200)  $false
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | CLOSE: (200) is inconsistent.
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (201)  all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | ALPHA: (201) implies:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (202)  all_58_30 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (52), (202) are inconsistent by sub-proof
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |            #426.
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |   (203)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |   (204)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1)
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (205)  all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | ALPHA: (205) implies:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (206)  all_58_29 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (207)  all_58_19 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (24), (207) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (208)  e3 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (80), (206) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (209)  e3 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (39), (46), (69), (82), (208), (209) are
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #548.
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (210)  all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | ALPHA: (210) implies:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (211)  all_58_19 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (24), (211) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (212)  e3 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (212) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (213)  $false
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | CLOSE: (213) is inconsistent.
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |   (214)  (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (215)  all_58_19 = e0 & all_58_28 = e0 & e3 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (35), (215) are inconsistent by sub-proof
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |            #818.
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (216)  all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | ALPHA: (216) implies:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (217)  all_58_29 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (218)  all_58_22 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (121), (218) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (219)  e3 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | SIMP: (219) implies:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (220)  e3 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (80), (217) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (221)  e3 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (220), (221) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (222)  e2 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (39), (46), (69), (82), (222) are
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.05  | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | |   (223)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 173.13/27.05  | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 173.13/27.05  | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 173.13/27.05  | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 173.13/27.05  | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 173.13/27.05  | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 173.13/27.05  | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 173.13/27.05  | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 173.13/27.05  | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |   (224)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |   (225)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2)
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (226)  all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | ALPHA: (226) implies:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (227)  all_58_25 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15), (227) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (228)  e2 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (39), (228) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (229)  all_58_17 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (46), (69), (82), (229) are inconsistent by
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |            sub-proof #980.
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (230)  all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | ALPHA: (230) implies:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (231)  all_58_23 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (39), (46), (58), (69), (82), (231) are
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #425.
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |   (232)  (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (233)  all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | ALPHA: (233) implies:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (234)  all_58_30 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (52), (234) are inconsistent by sub-proof
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |            #426.
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (235)  all_58_22 = e1 & all_58_25 = e1 & e2 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | ALPHA: (235) implies:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (236)  e2 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (237)  all_58_25 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15), (237) imply:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (238)  e1 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (39), (46), (69), (82), (236), (238) are
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #547.
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |   (239)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 173.13/27.05  | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |   (240)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1)
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (241)  all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | ALPHA: (241) implies:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (242)  all_58_23 = e2
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (39), (46), (58), (69), (82), (242) are
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #425.
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (243)  all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | | ALPHA: (243) implies:
% 173.13/27.05  | | | | | | | | | | | | | | | | | | | | |   (244)  all_58_29 = e0
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (80), (244) imply:
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | |   (245)  e3 = e0
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (245) imply:
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | |   (246)  $false
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | | CLOSE: (246) is inconsistent.
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | |   (247)  (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | |   (248)  all_58_23 = e0 & all_58_29 = e0 & e2 = e0
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (39), (46), (69), (82), (248) are
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #539.
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | |   (249)  all_58_27 = e0 & all_58_30 = e0 & e1 = e0
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | | ALPHA: (249) implies:
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | |   (250)  all_58_30 = e0
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (34), (250) imply:
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | |   (251)  e1 = e0
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (251) imply:
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | |   (252)  $false
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | | CLOSE: (252) is inconsistent.
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.06  | | | | | | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | | | | | | End of split
% 173.13/27.06  | | | | | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | | | | | End of split
% 173.13/27.06  | | | | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | | | | End of split
% 173.13/27.06  | | | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | | | End of split
% 173.13/27.06  | | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | | End of split
% 173.13/27.06  | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | Case 2:
% 173.13/27.06  | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | |   (253)   ~ (all_56_7 = e3)
% 173.13/27.06  | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | | REDUCE: (53), (253) imply:
% 173.13/27.06  | | | | | | | | | | | | | |   (254)   ~ (all_52_6 = e3)
% 173.13/27.06  | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (11), (13), (16), (31), (32), (45),
% 173.13/27.06  | | | | | | | | | | | | | |            (47), (101), (254) are inconsistent by sub-proof
% 173.13/27.06  | | | | | | | | | | | | | |            #423.
% 173.13/27.06  | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | End of split
% 173.13/27.06  | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | Case 2:
% 173.13/27.06  | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | |   (255)   ~ (all_54_5 = e1)
% 173.13/27.06  | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | REDUCE: (55), (255) imply:
% 173.13/27.06  | | | | | | | | | | | | |   (256)   ~ (all_4_2 = e1)
% 173.13/27.06  | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | BETA: splitting (51) gives:
% 173.13/27.06  | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | Case 1:
% 173.13/27.06  | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | |   (257)  all_56_1 = e1
% 173.13/27.06  | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | | REF_CLOSE: (1), (11), (257) are inconsistent by sub-proof
% 173.13/27.06  | | | | | | | | | | | | | |            #513.
% 173.13/27.06  | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | Case 2:
% 173.13/27.06  | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | |   (258)  all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 173.13/27.06  | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | | REF_CLOSE: (8), (40), (43), (52), (53), (256), (258) are
% 173.13/27.06  | | | | | | | | | | | | | |            inconsistent by sub-proof #660.
% 173.13/27.06  | | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | | End of split
% 173.13/27.06  | | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | End of split
% 173.13/27.06  | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | Case 2:
% 173.13/27.06  | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | |   (259)  all_56_4 = e2 | all_56_9 = e2
% 173.13/27.06  | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | | REF_CLOSE: (17), (69), (81), (99), (259) are inconsistent by
% 173.13/27.06  | | | | | | | | | | | |            sub-proof #783.
% 173.13/27.06  | | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | | End of split
% 173.13/27.06  | | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | | End of split
% 173.13/27.06  | | | | | | | | | | 
% 173.13/27.06  | | | | | | | | | End of split
% 173.13/27.06  | | | | | | | | | 
% 173.13/27.06  | | | | | | | | End of split
% 173.13/27.06  | | | | | | | | 
% 173.13/27.06  | | | | | | | End of split
% 173.13/27.06  | | | | | | | 
% 173.13/27.06  | | | | | | End of split
% 173.13/27.06  | | | | | | 
% 173.13/27.06  | | | | | Case 2:
% 173.13/27.06  | | | | | | 
% 173.13/27.06  | | | | | |   (260)   ~ (all_56_10 = e3)
% 173.13/27.06  | | | | | | 
% 173.13/27.06  | | | | | | REDUCE: (50), (260) imply:
% 173.13/27.06  | | | | | |   (261)   ~ (all_52_13 = e3)
% 173.13/27.06  | | | | | | 
% 173.13/27.06  | | | | | | REF_CLOSE: (33), (57), (76), (261) are inconsistent by sub-proof
% 173.13/27.06  | | | | | |            #522.
% 173.13/27.06  | | | | | | 
% 173.13/27.06  | | | | | End of split
% 173.13/27.06  | | | | | 
% 173.13/27.06  | | | | End of split
% 173.13/27.06  | | | | 
% 173.13/27.06  | | | End of split
% 173.13/27.06  | | | 
% 173.13/27.06  | | End of split
% 173.13/27.06  | | 
% 173.13/27.06  | End of split
% 173.13/27.06  | 
% 173.13/27.06  End of proof
% 173.13/27.06  
% 173.13/27.06  Sub-proof #423 shows that the following formulas are inconsistent:
% 173.13/27.06  ----------------------------------------------------------------
% 173.13/27.06    (1)   ~ (all_52_6 = e1)
% 173.13/27.06    (2)  all_54_1 = all_52_4
% 173.13/27.06    (3)   ~ (all_52_4 = e3)
% 173.13/27.06    (4)   ~ (all_52_4 = e1)
% 173.13/27.06    (5)   ~ (all_52_4 = all_52_6)
% 173.13/27.06    (6)   ~ (all_52_4 = e0)
% 173.13/27.06    (7)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 173.13/27.06    (8)  all_54_9 = all_52_6
% 173.13/27.06    (9)   ~ (all_52_6 = e3)
% 173.13/27.06    (10)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 173.13/27.06    (11)   ~ (all_52_6 = e0)
% 173.13/27.06  
% 173.13/27.06  Begin of proof
% 173.13/27.06  | 
% 173.13/27.06  | BETA: splitting (7) gives:
% 173.13/27.06  | 
% 173.13/27.06  | Case 1:
% 173.13/27.06  | | 
% 173.13/27.06  | |   (12)  all_54_1 = e0
% 173.13/27.06  | | 
% 173.13/27.06  | | REF_CLOSE: (2), (6), (12) are inconsistent by sub-proof #866.
% 173.13/27.06  | | 
% 173.13/27.06  | Case 2:
% 173.13/27.06  | | 
% 173.13/27.06  | |   (13)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 173.13/27.06  | | 
% 173.13/27.06  | | BETA: splitting (10) gives:
% 173.13/27.06  | | 
% 173.13/27.06  | | Case 1:
% 173.13/27.06  | | | 
% 173.13/27.06  | | |   (14)  all_54_9 = e0
% 173.13/27.06  | | | 
% 173.13/27.06  | | | REF_CLOSE: (8), (11), (14) are inconsistent by sub-proof #903.
% 173.13/27.06  | | | 
% 173.13/27.06  | | Case 2:
% 173.13/27.06  | | | 
% 173.13/27.06  | | |   (15)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 173.13/27.06  | | | 
% 173.13/27.06  | | | REF_CLOSE: (1), (2), (3), (4), (5), (8), (9), (13), (15) are inconsistent
% 173.13/27.06  | | |            by sub-proof #424.
% 173.13/27.06  | | | 
% 173.13/27.06  | | End of split
% 173.13/27.06  | | 
% 173.13/27.06  | End of split
% 173.13/27.06  | 
% 173.13/27.06  End of proof
% 173.13/27.06  
% 173.13/27.06  Sub-proof #424 shows that the following formulas are inconsistent:
% 173.13/27.06  ----------------------------------------------------------------
% 173.13/27.06    (1)   ~ (all_52_6 = e1)
% 173.13/27.06    (2)  all_54_1 = all_52_4
% 173.13/27.06    (3)   ~ (all_52_4 = e3)
% 173.13/27.06    (4)   ~ (all_52_4 = e1)
% 173.13/27.06    (5)   ~ (all_52_4 = all_52_6)
% 173.13/27.06    (6)  all_54_9 = all_52_6
% 173.13/27.06    (7)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 173.13/27.06    (8)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 173.13/27.06    (9)   ~ (all_52_6 = e3)
% 173.13/27.06  
% 173.13/27.06  Begin of proof
% 173.13/27.06  | 
% 173.13/27.06  | BETA: splitting (7) gives:
% 173.13/27.06  | 
% 173.13/27.06  | Case 1:
% 173.13/27.06  | | 
% 173.13/27.06  | |   (10)  all_54_9 = e1
% 173.13/27.06  | | 
% 173.13/27.06  | | REF_CLOSE: (1), (6), (10) are inconsistent by sub-proof #900.
% 173.13/27.06  | | 
% 173.13/27.06  | Case 2:
% 173.13/27.06  | | 
% 173.13/27.06  | |   (11)  all_54_9 = e3 | all_54_9 = e2
% 173.13/27.06  | | 
% 173.13/27.06  | | BETA: splitting (8) gives:
% 173.13/27.06  | | 
% 173.13/27.06  | | Case 1:
% 173.13/27.06  | | | 
% 173.13/27.06  | | |   (12)  all_54_1 = e1
% 173.13/27.06  | | | 
% 173.13/27.06  | | | REF_CLOSE: (2), (4), (12) are inconsistent by sub-proof #769.
% 173.13/27.06  | | | 
% 173.13/27.06  | | Case 2:
% 173.13/27.06  | | | 
% 173.13/27.06  | | |   (13)  all_54_1 = e3 | all_54_1 = e2
% 173.13/27.06  | | | 
% 173.13/27.06  | | | BETA: splitting (13) gives:
% 173.13/27.06  | | | 
% 173.13/27.06  | | | Case 1:
% 173.13/27.06  | | | | 
% 173.13/27.06  | | | |   (14)  all_54_1 = e2
% 173.13/27.06  | | | | 
% 173.13/27.06  | | | | COMBINE_EQS: (2), (14) imply:
% 173.13/27.06  | | | |   (15)  all_52_4 = e2
% 173.13/27.06  | | | | 
% 173.13/27.06  | | | | SIMP: (15) implies:
% 173.13/27.06  | | | |   (16)  all_52_4 = e2
% 173.13/27.06  | | | | 
% 173.13/27.06  | | | | REDUCE: (5), (16) imply:
% 173.13/27.06  | | | |   (17)   ~ (all_52_6 = e2)
% 173.13/27.06  | | | | 
% 173.13/27.06  | | | | SIMP: (17) implies:
% 173.13/27.06  | | | |   (18)   ~ (all_52_6 = e2)
% 173.13/27.06  | | | | 
% 173.13/27.06  | | | | BETA: splitting (11) gives:
% 173.13/27.06  | | | | 
% 173.13/27.06  | | | | Case 1:
% 173.13/27.06  | | | | | 
% 173.13/27.06  | | | | |   (19)  all_54_9 = e2
% 173.13/27.06  | | | | | 
% 173.13/27.06  | | | | | REF_CLOSE: (6), (18), (19) are inconsistent by sub-proof #899.
% 173.13/27.06  | | | | | 
% 173.13/27.06  | | | | Case 2:
% 173.13/27.06  | | | | | 
% 173.13/27.06  | | | | |   (20)  all_54_9 = e3
% 173.13/27.06  | | | | | 
% 173.13/27.06  | | | | | REF_CLOSE: (6), (9), (20) are inconsistent by sub-proof #862.
% 173.13/27.06  | | | | | 
% 173.13/27.06  | | | | End of split
% 173.13/27.06  | | | | 
% 173.13/27.06  | | | Case 2:
% 173.13/27.06  | | | | 
% 173.13/27.06  | | | |   (21)  all_54_1 = e3
% 173.13/27.06  | | | | 
% 173.13/27.06  | | | | REF_CLOSE: (2), (3), (21) are inconsistent by sub-proof #864.
% 173.13/27.06  | | | | 
% 173.13/27.06  | | | End of split
% 173.13/27.06  | | | 
% 173.13/27.06  | | End of split
% 173.13/27.06  | | 
% 173.13/27.06  | End of split
% 173.13/27.06  | 
% 173.13/27.06  End of proof
% 173.13/27.06  
% 173.13/27.06  Sub-proof #425 shows that the following formulas are inconsistent:
% 173.13/27.06  ----------------------------------------------------------------
% 173.13/27.06    (1)   ~ (e3 = e1)
% 173.13/27.06    (2)  all_58_23 = e2
% 173.13/27.06    (3)  all_58_16 = e1
% 173.13/27.06    (4)  all_58_17 = e2
% 173.13/27.06    (5)  all_58_16 = e3 | all_58_17 = e2
% 173.13/27.06    (6)   ~ (e2 = e0)
% 173.13/27.06    (7)  all_58_23 = e0
% 173.13/27.06  
% 173.13/27.06  Begin of proof
% 173.13/27.06  | 
% 173.13/27.06  | COMBINE_EQS: (2), (7) imply:
% 173.13/27.06  |   (8)  e2 = e0
% 173.13/27.06  | 
% 173.13/27.06  | COMBINE_EQS: (4), (8) imply:
% 173.13/27.06  |   (9)  all_58_17 = e0
% 173.13/27.06  | 
% 173.13/27.06  | REF_CLOSE: (1), (3), (5), (6), (9) are inconsistent by sub-proof #980.
% 173.13/27.06  | 
% 173.13/27.06  End of proof
% 173.13/27.06  
% 173.13/27.06  Sub-proof #426 shows that the following formulas are inconsistent:
% 173.13/27.06  ----------------------------------------------------------------
% 173.13/27.06    (1)  all_58_30 = e1
% 173.13/27.06    (2)  all_58_30 = e0
% 173.13/27.06    (3)   ~ (e1 = e0)
% 173.13/27.06  
% 173.13/27.06  Begin of proof
% 173.13/27.06  | 
% 173.13/27.06  | COMBINE_EQS: (1), (2) imply:
% 173.13/27.06  |   (4)  e1 = e0
% 173.13/27.06  | 
% 173.13/27.06  | SIMP: (4) implies:
% 173.13/27.06  |   (5)  e1 = e0
% 173.13/27.06  | 
% 173.13/27.06  | REDUCE: (3), (5) imply:
% 173.13/27.06  |   (6)  $false
% 173.13/27.06  | 
% 173.13/27.06  | CLOSE: (6) is inconsistent.
% 173.13/27.06  | 
% 173.13/27.06  End of proof
% 173.13/27.06  
% 173.13/27.06  Sub-proof #427 shows that the following formulas are inconsistent:
% 173.13/27.06  ----------------------------------------------------------------
% 173.13/27.06    (1)  e3 = e1
% 173.13/27.06    (2)  e3 = e0
% 173.13/27.06    (3)   ~ (e1 = e0)
% 173.13/27.06  
% 173.13/27.06  Begin of proof
% 173.13/27.06  | 
% 173.13/27.06  | SIMP: (1) implies:
% 173.13/27.06  |   (4)  e3 = e1
% 173.13/27.06  | 
% 173.13/27.06  | COMBINE_EQS: (2), (4) imply:
% 173.13/27.06  |   (5)  e1 = e0
% 173.13/27.06  | 
% 173.13/27.06  | REDUCE: (3), (5) imply:
% 173.13/27.06  |   (6)  $false
% 173.13/27.06  | 
% 173.13/27.06  | CLOSE: (6) is inconsistent.
% 173.13/27.06  | 
% 173.13/27.06  End of proof
% 173.13/27.06  
% 173.13/27.06  Sub-proof #428 shows that the following formulas are inconsistent:
% 173.13/27.06  ----------------------------------------------------------------
% 173.13/27.06    (1)  all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0
% 173.13/27.06    (2)  all_58_19 = e3
% 173.13/27.06    (3)   ~ (e3 = e0)
% 173.13/27.06  
% 173.13/27.06  Begin of proof
% 173.13/27.06  | 
% 173.13/27.06  | ALPHA: (1) implies:
% 173.13/27.06  |   (4)  all_58_19 = e0
% 173.13/27.06  | 
% 173.13/27.06  | COMBINE_EQS: (2), (4) imply:
% 173.13/27.06  |   (5)  e3 = e0
% 173.13/27.06  | 
% 173.13/27.06  | REDUCE: (3), (5) imply:
% 173.13/27.06  |   (6)  $false
% 173.13/27.06  | 
% 173.13/27.06  | CLOSE: (6) is inconsistent.
% 173.13/27.06  | 
% 173.13/27.06  End of proof
% 173.13/27.06  
% 173.13/27.06  Sub-proof #429 shows that the following formulas are inconsistent:
% 173.13/27.06  ----------------------------------------------------------------
% 173.13/27.06    (1)  all_58_28 = e3
% 173.13/27.06    (2)  all_58_28 = e0
% 173.13/27.06    (3)   ~ (e3 = e0)
% 173.13/27.06  
% 173.13/27.06  Begin of proof
% 173.13/27.06  | 
% 173.13/27.06  | COMBINE_EQS: (1), (2) imply:
% 173.13/27.06  |   (4)  e3 = e0
% 173.13/27.06  | 
% 173.13/27.06  | SIMP: (4) implies:
% 173.13/27.06  |   (5)  e3 = e0
% 173.13/27.06  | 
% 173.13/27.06  | REDUCE: (3), (5) imply:
% 173.13/27.06  |   (6)  $false
% 173.13/27.06  | 
% 173.13/27.06  | CLOSE: (6) is inconsistent.
% 173.13/27.06  | 
% 173.13/27.06  End of proof
% 173.13/27.06  
% 173.13/27.06  Sub-proof #430 shows that the following formulas are inconsistent:
% 173.13/27.06  ----------------------------------------------------------------
% 173.13/27.06    (1)  all_56_4 = e3
% 173.13/27.06    (2)  all_56_1 = e1
% 173.13/27.06    (3)  all_56_9 = e0
% 173.13/27.06    (4)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 173.13/27.06    (5)   ~ (e3 = e2)
% 173.13/27.06    (6)   ~ (e2 = e1)
% 173.13/27.06    (7)   ~ (e2 = e0)
% 173.13/27.06  
% 173.13/27.06  Begin of proof
% 173.13/27.06  | 
% 173.13/27.06  | BETA: splitting (4) gives:
% 173.13/27.06  | 
% 173.13/27.06  | Case 1:
% 173.13/27.06  | | 
% 173.13/27.06  | |   (8)  all_56_1 = e2
% 173.13/27.06  | | 
% 173.13/27.06  | | COMBINE_EQS: (2), (8) imply:
% 173.13/27.06  | |   (9)  e2 = e1
% 173.13/27.06  | | 
% 173.13/27.06  | | REDUCE: (6), (9) imply:
% 173.13/27.06  | |   (10)  $false
% 173.13/27.06  | | 
% 173.13/27.06  | | CLOSE: (10) is inconsistent.
% 173.13/27.06  | | 
% 173.13/27.06  | Case 2:
% 173.13/27.06  | | 
% 173.13/27.06  | |   (11)  all_56_4 = e2 | all_56_9 = e2
% 173.13/27.06  | | 
% 173.13/27.06  | | REF_CLOSE: (1), (3), (5), (7), (11) are inconsistent by sub-proof #783.
% 173.13/27.06  | | 
% 173.13/27.06  | End of split
% 173.13/27.06  | 
% 173.13/27.06  End of proof
% 173.13/27.06  
% 173.13/27.06  Sub-proof #431 shows that the following formulas are inconsistent:
% 173.13/27.06  ----------------------------------------------------------------
% 173.13/27.06    (1)   ~ (e3 = e1)
% 173.13/27.06    (2)  all_56_9 = e0
% 173.13/27.06    (3)  all_58_16 = e1
% 173.13/27.06    (4)  all_56_9 = e2
% 173.13/27.06    (5)  all_58_17 = e2
% 173.13/27.06    (6)  all_58_16 = e3 | all_58_17 = e2
% 173.13/27.06    (7)   ~ (e2 = e0)
% 173.13/27.06  
% 173.13/27.06  Begin of proof
% 173.13/27.06  | 
% 173.13/27.06  | COMBINE_EQS: (2), (4) imply:
% 173.13/27.06  |   (8)  e2 = e0
% 173.13/27.06  | 
% 173.13/27.06  | COMBINE_EQS: (5), (8) imply:
% 173.13/27.06  |   (9)  all_58_17 = e0
% 173.13/27.06  | 
% 173.13/27.06  | REF_CLOSE: (1), (3), (6), (7), (9) are inconsistent by sub-proof #980.
% 173.13/27.06  | 
% 173.13/27.06  End of proof
% 173.13/27.06  
% 173.13/27.06  Sub-proof #432 shows that the following formulas are inconsistent:
% 173.13/27.06  ----------------------------------------------------------------
% 173.13/27.06    (1)  all_56_3 = e3
% 173.13/27.06    (2)  all_56_3 = e2
% 173.13/27.06    (3)   ~ (e3 = e2)
% 173.13/27.06  
% 173.13/27.06  Begin of proof
% 173.13/27.06  | 
% 173.13/27.06  | COMBINE_EQS: (1), (2) imply:
% 173.13/27.06  |   (4)  e3 = e2
% 173.13/27.06  | 
% 173.13/27.06  | SIMP: (4) implies:
% 173.13/27.06  |   (5)  e3 = e2
% 173.13/27.06  | 
% 173.13/27.06  | REDUCE: (3), (5) imply:
% 173.13/27.06  |   (6)  $false
% 173.13/27.06  | 
% 173.13/27.06  | CLOSE: (6) is inconsistent.
% 173.13/27.06  | 
% 173.13/27.06  End of proof
% 173.13/27.06  
% 173.13/27.06  Sub-proof #433 shows that the following formulas are inconsistent:
% 173.13/27.06  ----------------------------------------------------------------
% 173.13/27.06    (1)  all_56_10 = e0
% 173.13/27.06    (2)  all_58_17 = e1
% 173.13/27.06    (3)   ~ (e2 = e1)
% 173.13/27.06    (4)  all_58_16 = e3
% 173.13/27.06    (5)   ~ (e3 = e0)
% 173.13/27.06    (6)  all_56_10 = e3
% 173.13/27.06    (7)  all_58_16 = e3 | all_58_17 = e2
% 173.13/27.06  
% 173.13/27.06  Begin of proof
% 173.13/27.06  | 
% 173.13/27.06  | COMBINE_EQS: (1), (6) imply:
% 173.13/27.06  |   (8)  e3 = e0
% 173.13/27.06  | 
% 173.13/27.06  | COMBINE_EQS: (4), (8) imply:
% 173.13/27.06  |   (9)  all_58_16 = e0
% 173.13/27.06  | 
% 173.13/27.06  | REF_CLOSE: (2), (3), (5), (7), (9) are inconsistent by sub-proof #635.
% 173.13/27.06  | 
% 173.13/27.06  End of proof
% 173.13/27.06  
% 173.13/27.06  Sub-proof #434 shows that the following formulas are inconsistent:
% 173.13/27.06  ----------------------------------------------------------------
% 173.13/27.06    (1)  all_56_9 = all_52_12
% 173.13/27.06    (2)  all_56_9 = e3
% 173.13/27.06    (3)   ~ (all_52_12 = e3)
% 173.13/27.06  
% 173.13/27.06  Begin of proof
% 173.13/27.06  | 
% 173.13/27.06  | COMBINE_EQS: (1), (2) imply:
% 173.13/27.06  |   (4)  all_52_12 = e3
% 173.13/27.06  | 
% 173.13/27.06  | SIMP: (4) implies:
% 173.13/27.06  |   (5)  all_52_12 = e3
% 173.13/27.06  | 
% 173.13/27.06  | REDUCE: (3), (5) imply:
% 173.13/27.06  |   (6)  $false
% 173.13/27.06  | 
% 173.13/27.06  | CLOSE: (6) is inconsistent.
% 173.13/27.06  | 
% 173.13/27.06  End of proof
% 173.13/27.06  
% 173.13/27.06  Sub-proof #435 shows that the following formulas are inconsistent:
% 173.13/27.06  ----------------------------------------------------------------
% 173.13/27.06    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 173.13/27.06    (2)   ~ (all_52_8 = e1)
% 173.13/27.06    (3)   ~ (e3 = e1)
% 173.13/27.06    (4)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 173.13/27.06    (5)  all_56_5 = all_52_9
% 173.13/27.06    (6)   ~ (all_14_2 = e0)
% 173.13/27.06    (7)   ~ (all_52_9 = all_4_2)
% 173.13/27.06    (8)  all_56_8 = all_10_2
% 173.13/27.06    (9)  all_56_14 = e0
% 173.13/27.06    (10)  all_58_26 = all_10_2
% 173.13/27.06    (11)  all_58_31 = all_14_2
% 173.13/27.06    (12)  all_58_18 = e0
% 173.13/27.06    (13)   ~ (all_4_1 = e0)
% 173.13/27.06    (14)  op(all_4_2, e2) = all_4_1
% 173.13/27.06    (15)  all_58_17 = all_52_1
% 173.13/27.06    (16)  all_58_20 = e0
% 173.13/27.06    (17)   ~ (e3 = e2)
% 173.13/27.06    (18)   ~ (all_52_6 = all_10_2)
% 173.13/27.06    (19)  all_58_16 = e1
% 173.13/27.06    (20)   ~ (all_52_1 = all_4_2)
% 173.13/27.06    (21)  all_56_2 = all_52_1
% 173.13/27.06    (22)   ~ (e3 = e0)
% 173.13/27.06    (23)  op(e3, e2) = e0
% 173.13/27.06    (24)  all_56_4 = all_52_8
% 173.13/27.06    (25)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 173.13/27.06    (26)  all_58_22 = all_52_6
% 173.13/27.06    (27)  all_56_3 = all_4_2
% 173.13/27.06    (28)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.13/27.06            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.13/27.06    (29)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 173.13/27.06    (30)  all_58_21 = all_4_2
% 173.13/27.06    (31)   ~ (e1 = e0)
% 173.13/27.06    (32)  all_54_5 = all_4_2
% 173.13/27.06    (33)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 173.13/27.06          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 173.13/27.06          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.13/27.06          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 173.13/27.06          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.13/27.06          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 173.13/27.06          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.13/27.06          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 173.13/27.06          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 173.13/27.06          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 173.13/27.06            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 173.13/27.06            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 173.13/27.06            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 173.13/27.06            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 173.13/27.06            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 173.13/27.06            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 173.13/27.06            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 173.13/27.06            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 173.13/27.06            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 173.13/27.06            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 173.13/27.06            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 173.13/27.06            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 173.13/27.06            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 173.13/27.06            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 173.13/27.06            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 173.13/27.06            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 173.13/27.06          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 173.13/27.06          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.13/27.06          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 173.13/27.06            all_58_30 = e0 & e1 = e0)
% 173.13/27.06    (34)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 173.13/27.06  
% 173.13/27.06  Begin of proof
% 173.13/27.06  | 
% 173.13/27.06  | BETA: splitting (4) gives:
% 173.13/27.06  | 
% 173.13/27.06  | Case 1:
% 173.13/27.06  | | 
% 173.13/27.06  | |   (35)  all_58_18 = e1
% 173.13/27.06  | | 
% 173.13/27.06  | | COMBINE_EQS: (12), (35) imply:
% 173.13/27.06  | |   (36)  e1 = e0
% 173.13/27.06  | | 
% 173.13/27.06  | | REDUCE: (31), (36) imply:
% 173.13/27.06  | |   (37)  $false
% 173.13/27.06  | | 
% 173.13/27.06  | | CLOSE: (37) is inconsistent.
% 173.13/27.06  | | 
% 173.13/27.06  | Case 2:
% 173.13/27.06  | | 
% 173.13/27.06  | |   (38)   ~ (all_58_18 = e1)
% 173.13/27.06  | |   (39)  all_58_16 = e3 | all_58_17 = e2
% 173.13/27.06  | | 
% 173.13/27.06  | | REDUCE: (12), (38) imply:
% 173.13/27.06  | |   (40)   ~ (e1 = e0)
% 173.13/27.06  | | 
% 173.13/27.06  | | BETA: splitting (39) gives:
% 173.13/27.06  | | 
% 173.13/27.06  | | Case 1:
% 173.13/27.06  | | | 
% 173.13/27.06  | | |   (41)  all_58_17 = e2
% 173.13/27.06  | | | 
% 173.13/27.06  | | | COMBINE_EQS: (15), (41) imply:
% 173.13/27.06  | | |   (42)  all_52_1 = e2
% 173.13/27.06  | | | 
% 173.13/27.06  | | | COMBINE_EQS: (21), (42) imply:
% 173.13/27.06  | | |   (43)  all_56_2 = e2
% 173.13/27.06  | | | 
% 173.13/27.06  | | | REDUCE: (20), (42) imply:
% 173.13/27.06  | | |   (44)   ~ (all_4_2 = e2)
% 173.13/27.06  | | | 
% 173.13/27.06  | | | SIMP: (44) implies:
% 173.13/27.06  | | |   (45)   ~ (all_4_2 = e2)
% 173.13/27.06  | | | 
% 173.13/27.06  | | | BETA: splitting (33) gives:
% 173.13/27.06  | | | 
% 173.13/27.06  | | | Case 1:
% 173.13/27.06  | | | | 
% 173.13/27.06  | | | |   (46)  all_58_31 = e0
% 173.13/27.06  | | | | 
% 173.13/27.06  | | | | COMBINE_EQS: (11), (46) imply:
% 173.13/27.06  | | | |   (47)  all_14_2 = e0
% 173.13/27.06  | | | | 
% 173.13/27.06  | | | | REDUCE: (6), (47) imply:
% 173.13/27.06  | | | |   (48)  $false
% 173.13/27.06  | | | | 
% 173.13/27.06  | | | | CLOSE: (48) is inconsistent.
% 173.13/27.06  | | | | 
% 173.13/27.06  | | | Case 2:
% 173.13/27.06  | | | | 
% 173.13/27.06  | | | |   (49)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | (all_58_17 =
% 173.13/27.06  | | | |           e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 173.13/27.06  | | | |         (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 =
% 173.13/27.06  | | | |           e0) | (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 &
% 173.13/27.06  | | | |           all_58_25 = e2) | (all_58_17 = e3 & all_58_20 = e3 & all_58_23
% 173.13/27.06  | | | |           = e2 & all_58_29 = e2) | (all_58_17 = e2 & all_58_18 = e3 &
% 173.13/27.06  | | | |           all_58_20 = e2 & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 173.13/27.06  | | | |           = e3 & all_58_20 = e2 & all_58_28 = e3) | (all_58_17 = e2 &
% 173.13/27.06  | | | |           all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) | (all_58_17
% 173.13/27.06  | | | |           = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 173.13/27.06  | | | |         (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 173.13/27.06  | | | |           all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18
% 173.13/27.06  | | | |           = e3 & all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 173.13/27.06  | | | |         (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30 =
% 173.13/27.06  | | | |           e1) | (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 173.13/27.06  | | | |           all_58_28 = e3) | (all_58_18 = e1 & all_58_22 = e2 & all_58_24
% 173.13/27.06  | | | |           = e1 & all_58_25 = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 173.13/27.06  | | | |           all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 & all_58_24
% 173.13/27.06  | | | |           = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 & all_58_28
% 173.13/27.06  | | | |           = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 173.13/27.06  | | | |           all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23
% 173.13/27.06  | | | |           = e2 & all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 &
% 173.13/27.06  | | | |           all_58_27 = e1 & all_58_28 = e0 & all_58_30 = e1) | (all_58_19
% 173.13/27.06  | | | |           = e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2 & all_58_23
% 173.13/27.06  | | | |           = e0 & all_58_25 = e2 & all_58_29 = e0) | (all_58_22 = e2 &
% 173.13/27.06  | | | |           all_58_25 = e2 & all_58_27 = e1 & all_58_30 = e1) | (all_58_22
% 173.13/27.06  | | | |           = e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 173.13/27.06  | | | |         (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 & all_58_30 =
% 173.13/27.06  | | | |           e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) | (all_58_23
% 173.13/27.06  | | | |           = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 173.13/27.06  | | | |         (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 =
% 173.13/27.06  | | | |           e1) | (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27
% 173.13/27.06  | | | |           = e0 & all_58_30 = e0 & e1 = e0)
% 173.13/27.06  | | | | 
% 173.13/27.06  | | | | BETA: splitting (49) gives:
% 173.13/27.06  | | | | 
% 173.13/27.06  | | | | Case 1:
% 173.13/27.06  | | | | | 
% 173.13/27.06  | | | | |   (50)  all_58_26 = e1
% 173.13/27.06  | | | | | 
% 173.13/27.06  | | | | | COMBINE_EQS: (10), (50) imply:
% 173.13/27.06  | | | | |   (51)  all_10_2 = e1
% 173.13/27.06  | | | | | 
% 173.13/27.06  | | | | | SIMP: (51) implies:
% 173.13/27.06  | | | | |   (52)  all_10_2 = e1
% 173.13/27.06  | | | | | 
% 173.13/27.06  | | | | | REDUCE: (18), (52) imply:
% 173.13/27.06  | | | | |   (53)   ~ (all_52_6 = e1)
% 173.13/27.06  | | | | | 
% 173.13/27.06  | | | | | REF_CLOSE: (1), (16), (22), (26), (30), (45), (53) are inconsistent by
% 173.13/27.06  | | | | |            sub-proof #436.
% 173.13/27.06  | | | | | 
% 173.13/27.06  | | | | Case 2:
% 173.13/27.06  | | | | | 
% 173.13/27.06  | | | | |   (54)   ~ (all_58_26 = e1)
% 173.13/27.06  | | | | | 
% 173.13/27.06  | | | | | REDUCE: (10), (54) imply:
% 173.13/27.06  | | | | |   (55)   ~ (all_10_2 = e1)
% 173.13/27.06  | | | | | 
% 173.13/27.06  | | | | | BETA: splitting (25) gives:
% 173.13/27.06  | | | | | 
% 173.13/27.06  | | | | | Case 1:
% 173.13/27.06  | | | | | | 
% 173.13/27.06  | | | | | |   (56)  all_56_4 = e1
% 173.13/27.06  | | | | | | 
% 173.13/27.06  | | | | | | COMBINE_EQS: (24), (56) imply:
% 173.13/27.06  | | | | | |   (57)  all_52_8 = e1
% 173.13/27.06  | | | | | | 
% 173.13/27.06  | | | | | | REDUCE: (2), (57) imply:
% 173.13/27.06  | | | | | |   (58)  $false
% 173.13/27.06  | | | | | | 
% 173.13/27.06  | | | | | | CLOSE: (58) is inconsistent.
% 173.13/27.06  | | | | | | 
% 173.13/27.06  | | | | | Case 2:
% 173.13/27.06  | | | | | | 
% 173.13/27.06  | | | | | |   (59)  all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 173.13/27.06  | | | | | | 
% 173.13/27.06  | | | | | | BETA: splitting (59) gives:
% 173.13/27.06  | | | | | | 
% 173.13/27.06  | | | | | | Case 1:
% 173.13/27.06  | | | | | | | 
% 173.13/27.06  | | | | | | |   (60)  all_56_5 = e1
% 173.13/27.06  | | | | | | | 
% 173.13/27.06  | | | | | | | COMBINE_EQS: (5), (60) imply:
% 173.13/27.06  | | | | | | |   (61)  all_52_9 = e1
% 173.13/27.06  | | | | | | | 
% 173.13/27.06  | | | | | | | REDUCE: (7), (61) imply:
% 173.13/27.06  | | | | | | |   (62)   ~ (all_4_2 = e1)
% 173.13/27.06  | | | | | | | 
% 173.13/27.06  | | | | | | | REF_CLOSE: (13), (14), (17), (23), (27), (28), (29), (32), (34),
% 173.13/27.06  | | | | | | |            (43), (45), (62) are inconsistent by sub-proof #956.
% 173.13/27.06  | | | | | | | 
% 173.13/27.06  | | | | | | Case 2:
% 173.13/27.06  | | | | | | | 
% 173.13/27.06  | | | | | | |   (63)  all_56_8 = e1 | all_56_14 = e1
% 173.13/27.06  | | | | | | | 
% 173.13/27.06  | | | | | | | REF_CLOSE: (8), (9), (31), (55), (63) are inconsistent by
% 173.13/27.06  | | | | | | |            sub-proof #832.
% 173.13/27.06  | | | | | | | 
% 173.13/27.06  | | | | | | End of split
% 173.13/27.06  | | | | | | 
% 173.13/27.06  | | | | | End of split
% 173.13/27.06  | | | | | 
% 173.13/27.06  | | | | End of split
% 173.13/27.06  | | | | 
% 173.13/27.06  | | | End of split
% 173.13/27.06  | | | 
% 173.13/27.06  | | Case 2:
% 173.13/27.06  | | | 
% 173.13/27.06  | | |   (64)  all_58_16 = e3
% 173.13/27.06  | | | 
% 173.13/27.06  | | | REF_CLOSE: (3), (19), (64) are inconsistent by sub-proof #970.
% 173.13/27.06  | | | 
% 173.13/27.06  | | End of split
% 173.13/27.06  | | 
% 173.13/27.06  | End of split
% 173.13/27.06  | 
% 173.13/27.06  End of proof
% 173.13/27.06  
% 173.13/27.06  Sub-proof #436 shows that the following formulas are inconsistent:
% 173.13/27.06  ----------------------------------------------------------------
% 173.13/27.06    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 173.13/27.06    (2)   ~ (all_52_6 = e1)
% 173.13/27.06    (3)  all_58_20 = e0
% 173.13/27.06    (4)   ~ (e3 = e0)
% 173.13/27.06    (5)  all_58_22 = all_52_6
% 173.13/27.06    (6)  all_58_21 = all_4_2
% 173.13/27.06    (7)   ~ (all_4_2 = e2)
% 173.13/27.06  
% 173.13/27.06  Begin of proof
% 173.13/27.06  | 
% 173.13/27.06  | BETA: splitting (1) gives:
% 173.13/27.06  | 
% 173.13/27.06  | Case 1:
% 173.13/27.06  | | 
% 173.13/27.06  | |   (8)  all_58_22 = e1
% 173.13/27.06  | | 
% 173.13/27.06  | | COMBINE_EQS: (5), (8) imply:
% 173.13/27.06  | |   (9)  all_52_6 = e1
% 173.13/27.06  | | 
% 173.13/27.06  | | REDUCE: (2), (9) imply:
% 173.13/27.06  | |   (10)  $false
% 173.13/27.06  | | 
% 173.13/27.06  | | CLOSE: (10) is inconsistent.
% 173.13/27.06  | | 
% 173.13/27.06  | Case 2:
% 173.13/27.06  | | 
% 173.13/27.06  | |   (11)  all_58_20 = e3 | all_58_21 = e2
% 173.13/27.06  | | 
% 173.13/27.06  | | REF_CLOSE: (3), (4), (6), (7), (11) are inconsistent by sub-proof #974.
% 173.13/27.06  | | 
% 173.13/27.06  | End of split
% 173.13/27.06  | 
% 173.13/27.06  End of proof
% 173.13/27.06  
% 173.13/27.06  Sub-proof #437 shows that the following formulas are inconsistent:
% 173.13/27.06  ----------------------------------------------------------------
% 173.13/27.06    (1)  op(e0, e0) = all_14_2
% 173.13/27.06    (2)  all_56_15 = all_14_2
% 173.13/27.06    (3)  all_56_15 = e0
% 173.13/27.06    (4)  op(all_14_2, e0) = e1
% 173.13/27.06    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.13/27.06           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.13/27.06    (6)  op(e0, all_14_2) = all_58_15
% 173.13/27.06    (7)   ~ (e1 = e0)
% 173.13/27.06  
% 173.13/27.06  Begin of proof
% 173.13/27.06  | 
% 173.13/27.06  | COMBINE_EQS: (2), (3) imply:
% 173.13/27.06  |   (8)  all_14_2 = e0
% 173.13/27.06  | 
% 173.13/27.06  | SIMP: (8) implies:
% 173.13/27.06  |   (9)  all_14_2 = e0
% 173.13/27.06  | 
% 173.13/27.06  | REDUCE: (4), (9) imply:
% 173.13/27.06  |   (10)  op(e0, e0) = e1
% 173.13/27.06  | 
% 173.13/27.06  | REDUCE: (6), (9) imply:
% 173.13/27.06  |   (11)  op(e0, e0) = all_58_15
% 173.13/27.06  | 
% 173.13/27.06  | REDUCE: (1), (9) imply:
% 173.13/27.06  |   (12)  op(e0, e0) = e0
% 173.13/27.06  | 
% 173.13/27.06  | GROUND_INST: instantiating (5) with e1, all_58_15, e0, e0, simplifying with
% 173.13/27.06  |              (10), (11) gives:
% 173.13/27.06  |   (13)  all_58_15 = e1
% 173.13/27.06  | 
% 173.13/27.06  | GROUND_INST: instantiating (5) with e0, all_58_15, e0, e0, simplifying with
% 173.13/27.06  |              (11), (12) gives:
% 173.13/27.06  |   (14)  all_58_15 = e0
% 173.13/27.06  | 
% 173.13/27.06  | COMBINE_EQS: (13), (14) imply:
% 173.13/27.06  |   (15)  e1 = e0
% 173.13/27.06  | 
% 173.13/27.06  | SIMP: (15) implies:
% 173.13/27.06  |   (16)  e1 = e0
% 173.13/27.06  | 
% 173.13/27.06  | REDUCE: (7), (16) imply:
% 173.13/27.06  |   (17)  $false
% 173.13/27.06  | 
% 173.13/27.06  | CLOSE: (17) is inconsistent.
% 173.13/27.06  | 
% 173.13/27.06  End of proof
% 173.13/27.06  
% 173.13/27.06  Sub-proof #438 shows that the following formulas are inconsistent:
% 173.13/27.06  ----------------------------------------------------------------
% 173.13/27.06    (1)   ~ (all_52_12 = all_14_2)
% 173.13/27.06    (2)  op(e0, e0) = all_14_2
% 173.13/27.06    (3)  all_54_8 = all_52_2
% 173.13/27.06    (4)  all_56_1 = all_52_4
% 173.13/27.06    (5)  all_56_12 = all_52_3
% 173.13/27.06    (6)  all_56_15 = e0 | ((all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 173.13/27.06           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0))
% 173.13/27.06    (7)  op(e1, e3) = all_52_2
% 173.13/27.06    (8)  op(e3, all_52_12) = all_58_3
% 173.13/27.06    (9)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 173.13/27.06    (10)  op(e1, all_52_14) = all_58_11
% 173.13/27.06    (11)   ~ (all_10_2 = e0)
% 173.13/27.06    (12)   ~ (all_52_8 = all_52_12)
% 173.13/27.06    (13)   ~ (e3 = e1)
% 173.13/27.06    (14)  all_58_23 = all_52_7
% 173.13/27.06    (15)   ~ (all_52_2 = all_6_2)
% 173.13/27.06    (16)   ~ (all_52_3 = all_14_2)
% 173.13/27.06    (17)   ~ (all_52_4 = all_4_2)
% 173.13/27.06    (18)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 173.13/27.06    (19)  all_54_3 = all_52_12
% 173.13/27.06    (20)  all_56_5 = all_52_9
% 173.13/27.06    (21)   ~ (all_52_3 = all_52_11)
% 173.13/27.06    (22)  op(all_6_2, e3) = all_6_1
% 173.13/27.06    (23)   ~ (all_52_12 = all_6_2)
% 173.13/27.06    (24)  op(e2, e0) = all_52_13
% 173.13/27.06    (25)   ~ (all_52_6 = all_4_2)
% 173.13/27.06    (26)  op(e3, all_6_2) = all_58_0
% 173.13/27.06    (27)  op(e1, e0) = all_52_14
% 173.13/27.06    (28)  all_56_15 = all_14_2
% 173.13/27.06    (29)   ~ (all_52_11 = all_14_2)
% 173.13/27.06    (30)  op(e0, e2) = all_52_7
% 173.13/27.06    (31)  all_54_1 = all_52_4
% 173.13/27.06    (32)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 173.13/27.06    (33)   ~ (all_52_9 = all_4_2)
% 173.13/27.06    (34)   ~ (all_52_3 = all_52_7)
% 173.13/27.06    (35)  all_54_6 = all_52_9
% 173.13/27.07    (36)  all_56_14 = all_52_11
% 173.13/27.07    (37)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 173.13/27.07    (38)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 173.13/27.07    (39)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 173.13/27.07    (40)  op(e0, all_52_3) = all_58_12
% 173.13/27.07    (41)  all_56_8 = all_10_2
% 173.13/27.07    (42)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 173.13/27.07    (43)  all_58_26 = all_10_2
% 173.13/27.07    (44)   ~ (all_52_4 = all_52_6)
% 173.13/27.07    (45)  all_58_31 = all_14_2
% 173.13/27.07    (46)   ~ (all_52_11 = all_10_2)
% 173.13/27.07    (47)   ~ (all_52_9 = all_52_13)
% 173.13/27.07    (48)   ~ (all_52_3 = all_6_2)
% 173.13/27.07    (49)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 173.13/27.07    (50)  op(all_6_1, all_6_2) = all_6_0
% 173.13/27.07    (51)   ~ (all_52_1 = all_6_2)
% 173.13/27.07    (52)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 173.13/27.07    (53)  all_54_2 = all_52_8
% 173.13/27.07    (54)  all_56_11 = all_52_14
% 173.13/27.07    (55)  op(e2, e1) = all_52_9
% 173.13/27.07    (56)   ~ (all_52_6 = all_52_7)
% 173.13/27.07    (57)  all_56_2 = e2 | all_56_3 = e2 | all_56_5 = e2 | all_56_10 = e2
% 173.13/27.07    (58)  all_56_0 = all_6_2
% 173.13/27.07    (59)   ~ (all_52_9 = all_10_2)
% 173.13/27.07    (60)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 173.13/27.07    (61)  all_58_30 = all_52_14
% 173.13/27.07    (62)  all_58_27 = all_52_11
% 173.13/27.07    (63)  all_24_1 = all_4_1
% 173.13/27.07    (64)  all_54_14 = all_52_11
% 173.13/27.07    (65)  op(all_4_2, e2) = all_4_1
% 173.13/27.07    (66)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 173.13/27.07    (67)  all_58_17 = all_52_1
% 173.13/27.07    (68)  all_42_2 = all_6_2
% 173.13/27.07    (69)   ~ (all_42_0 = e1) |  ~ (all_42_1 = e2) |  ~ (all_42_2 = e0)
% 173.13/27.07    (70)  op(e2, all_4_2) = all_58_5
% 173.13/27.07    (71)  all_58_19 = all_52_3
% 173.13/27.07    (72)  all_56_9 = all_52_12
% 173.13/27.07    (73)   ~ (all_40_0 = e3) |  ~ (all_40_1 = e1) |  ~ (all_40_2 = e0)
% 173.13/27.07    (74)   ~ (all_52_2 = all_52_6)
% 173.13/27.07    (75)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 173.13/27.07    (76)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 173.13/27.07    (77)   ~ (e3 = e2)
% 173.13/27.07    (78)  op(e3, all_52_8) = all_58_2
% 173.13/27.07    (79)   ~ (all_52_4 = all_52_7)
% 173.13/27.07    (80)   ~ (e2 = e1)
% 173.13/27.07    (81)   ~ (all_52_6 = all_10_2)
% 173.13/27.07    (82)  op(e0, all_52_11) = all_58_14
% 173.13/27.07    (83)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 173.13/27.07    (84)   ~ (all_52_7 = all_14_2)
% 173.13/27.07    (85)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 173.13/27.07    (86)  all_24_0 = all_4_0
% 173.13/27.07    (87)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 173.13/27.07    (88)   ~ (all_52_13 = all_14_2)
% 173.13/27.07    (89)   ~ (all_52_1 = all_4_2)
% 173.13/27.07    (90)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 173.13/27.07    (91)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 173.13/27.07    (92)  all_54_9 = all_52_6
% 173.13/27.07    (93)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 173.13/27.07    (94)   ~ (all_52_13 = all_52_14)
% 173.13/27.07    (95)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3)
% 173.13/27.07    (96)  all_58_18 = all_52_2
% 173.13/27.07    (97)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 173.13/27.07    (98)  all_58_16 = all_6_2
% 173.13/27.07    (99)  all_56_13 = all_52_7
% 173.13/27.07    (100)  op(e0, e3) = all_52_3
% 173.13/27.07    (101)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 173.13/27.07    (102)   ~ (all_52_8 = all_52_9)
% 173.13/27.07    (103)   ~ (all_52_4 = all_6_2)
% 173.13/27.07    (104)  op(all_4_1, all_4_2) = all_4_0
% 173.13/27.07    (105)  all_40_2 = all_4_2
% 173.13/27.07    (106)  all_56_2 = all_52_1
% 173.13/27.07    (107)   ~ (all_14_0 = e1)
% 173.13/27.07    (108)   ~ (e3 = e0)
% 173.13/27.07    (109)  op(e3, e0) = all_52_12
% 173.13/27.07    (110)  all_58_29 = all_52_13
% 173.13/27.07    (111)   ~ (all_52_1 = all_52_2)
% 173.13/27.07    (112)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 173.13/27.07    (113)  all_4_2 = e0
% 173.13/27.07    (114)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 173.13/27.07    (115)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 173.13/27.07    (116)   ~ (all_52_6 = all_52_14)
% 173.13/27.07    (117)   ~ (all_52_7 = all_4_2)
% 173.13/27.07    (118)   ~ (all_52_8 = all_10_2)
% 173.13/27.07    (119)  all_56_4 = all_52_8
% 173.13/27.07    (120)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 173.13/27.07    (121)  op(e1, all_52_2) = all_58_8
% 173.13/27.07    (122)  op(all_14_1, all_14_2) = all_14_0
% 173.13/27.07    (123)   ~ (all_52_1 = all_52_13)
% 173.13/27.07    (124)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 173.13/27.07    (125)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 173.13/27.07    (126)  all_58_20 = all_52_4
% 173.13/27.07    (127)  all_54_10 = all_10_2
% 173.13/27.07    (128)  all_54_13 = all_52_7
% 173.13/27.07    (129)   ~ (all_52_7 = all_52_11)
% 173.13/27.07    (130)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 173.13/27.07    (131)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 173.13/27.07    (132)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 173.13/27.07    (133)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 173.13/27.07    (134)   ~ (all_52_8 = all_52_11)
% 173.13/27.07    (135)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 173.13/27.07    (136)   ~ (all_52_8 = all_6_2)
% 173.13/27.07    (137)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 173.13/27.07    (138)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 173.13/27.07    (139)  all_56_6 = all_52_2
% 173.13/27.07    (140)   ~ (all_52_1 = all_52_9)
% 173.13/27.07    (141)  all_58_24 = all_52_8
% 173.13/27.07    (142)   ~ (all_52_12 = all_52_14)
% 173.13/27.07    (143)   ~ (all_52_9 = all_52_11)
% 173.13/27.07    (144)  all_58_22 = all_52_6
% 173.13/27.07    (145)  op(all_14_2, e0) = all_14_1
% 173.13/27.07    (146)   ~ (all_52_4 = all_52_12)
% 173.13/27.07    (147)  all_56_3 = all_4_2
% 173.13/27.07    (148)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 173.13/27.07    (149)  all_54_0 = all_6_2
% 173.13/27.07    (150)  all_40_0 = all_4_0
% 173.13/27.07    (151)   ~ (all_52_14 = all_10_2)
% 173.13/27.07    (152)   ~ (all_52_2 = all_52_3)
% 173.13/27.07    (153)   ~ (all_52_4 = all_52_8)
% 173.13/27.07    (154)   ~ (all_52_14 = all_14_2)
% 173.13/27.07    (155)  all_58_25 = all_52_9
% 173.13/27.07    (156)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 173.13/27.07    (157)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.13/27.07             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.13/27.07    (158)  all_54_12 = all_52_3
% 173.13/27.07    (159)   ~ (all_52_2 = all_52_14)
% 173.13/27.07    (160)  op(e0, all_14_2) = all_58_15
% 173.13/27.07    (161)  all_58_21 = all_4_2
% 173.13/27.07    (162)  all_40_1 = all_4_1
% 173.13/27.07    (163)  all_56_10 = all_52_13
% 173.13/27.07    (164)   ~ (e2 = e0)
% 173.13/27.07    (165)   ~ (all_52_1 = all_52_3)
% 173.13/27.07    (166)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 173.13/27.07    (167)  all_58_28 = all_52_12
% 173.13/27.07    (168)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 173.13/27.07    (169)   ~ (e1 = e0)
% 173.13/27.07    (170)  all_54_4 = all_52_1
% 173.13/27.07    (171)  all_56_7 = all_52_6
% 173.13/27.07    (172)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 173.13/27.07             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 173.13/27.07             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 173.13/27.07             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 173.13/27.07             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 173.13/27.07             (all_58_15 = e0))
% 173.13/27.07    (173)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 173.13/27.07    (174)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 173.13/27.07    (175)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 173.13/27.07           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 173.13/27.07           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.13/27.07           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 173.13/27.07           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.13/27.07           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 173.13/27.07           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.13/27.07           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 173.13/27.07           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 173.13/27.07           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 173.13/27.07             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 173.13/27.07             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 173.13/27.07             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 173.13/27.07             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 173.13/27.07             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 173.13/27.07             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 173.13/27.07             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 173.13/27.07             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 173.13/27.07             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 173.13/27.07             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 173.13/27.07             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 173.13/27.07             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 173.13/27.07             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 173.13/27.07             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 173.13/27.07             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 173.13/27.07             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 173.13/27.07           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 173.13/27.07           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.13/27.07           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 173.13/27.07             all_58_30 = e0 & e1 = e0)
% 173.13/27.07    (176)  all_54_7 = all_52_13
% 173.13/27.07    (177)   ~ (all_52_2 = all_10_2)
% 173.13/27.07    (178)  all_54_11 = all_52_14
% 173.13/27.07    (179)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 173.13/27.07    (180)   ~ (all_52_12 = all_52_13)
% 173.13/27.07  
% 173.13/27.07  Begin of proof
% 173.13/27.07  | 
% 173.13/27.07  | COMBINE_EQS: (105), (113) imply:
% 173.13/27.07  |   (181)  all_40_2 = e0
% 173.13/27.07  | 
% 173.13/27.07  | COMBINE_EQS: (113), (147) imply:
% 173.13/27.07  |   (182)  all_56_3 = e0
% 173.13/27.07  | 
% 173.13/27.07  | COMBINE_EQS: (113), (161) imply:
% 173.13/27.07  |   (183)  all_58_21 = e0
% 173.13/27.07  | 
% 173.13/27.07  | REDUCE: (89), (113) imply:
% 173.13/27.07  |   (184)   ~ (all_52_1 = e0)
% 173.13/27.07  | 
% 173.13/27.07  | REDUCE: (17), (113) imply:
% 173.13/27.07  |   (185)   ~ (all_52_4 = e0)
% 173.13/27.07  | 
% 173.13/27.07  | REDUCE: (25), (113) imply:
% 173.13/27.07  |   (186)   ~ (all_52_6 = e0)
% 173.13/27.07  | 
% 173.13/27.07  | REDUCE: (113), (117) imply:
% 173.13/27.07  |   (187)   ~ (all_52_7 = e0)
% 173.13/27.07  | 
% 173.13/27.07  | REDUCE: (33), (113) imply:
% 173.13/27.07  |   (188)   ~ (all_52_9 = e0)
% 173.13/27.07  | 
% 173.13/27.07  | REDUCE: (104), (113) imply:
% 173.13/27.07  |   (189)  op(all_4_1, e0) = all_4_0
% 173.13/27.07  | 
% 173.13/27.07  | REDUCE: (65), (113) imply:
% 173.13/27.07  |   (190)  op(e0, e2) = all_4_1
% 173.13/27.07  | 
% 173.13/27.07  | REDUCE: (70), (113) imply:
% 173.13/27.07  |   (191)  op(e2, e0) = all_58_5
% 173.13/27.07  | 
% 173.13/27.07  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 173.13/27.07  |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 173.13/27.07  |            (24), (26), (27), (28), (29), (30), (31), (32), (34), (35), (36),
% 173.13/27.07  |            (37), (38), (39), (40), (41), (42), (43), (44), (45), (46), (47),
% 173.13/27.07  |            (48), (49), (50), (51), (52), (53), (54), (55), (56), (57), (58),
% 173.13/27.07  |            (59), (60), (61), (62), (63), (64), (66), (67), (68), (69), (71),
% 173.13/27.07  |            (72), (73), (74), (75), (76), (77), (78), (79), (80), (81), (82),
% 173.13/27.07  |            (83), (84), (85), (86), (87), (88), (90), (91), (92), (93), (94),
% 173.13/27.07  |            (95), (96), (97), (98), (99), (100), (101), (102), (103), (106),
% 173.13/27.07  |            (107), (108), (109), (110), (111), (112), (114), (115), (116),
% 173.13/27.07  |            (118), (119), (120), (121), (122), (123), (124), (125), (126),
% 173.13/27.07  |            (127), (128), (129), (130), (131), (132), (133), (134), (135),
% 173.13/27.07  |            (136), (137), (138), (139), (140), (141), (142), (143), (144),
% 173.13/27.07  |            (145), (146), (148), (149), (150), (151), (152), (153), (154),
% 173.13/27.07  |            (155), (156), (157), (158), (159), (160), (161), (162), (163),
% 173.13/27.07  |            (164), (165), (166), (167), (168), (169), (170), (171), (172),
% 173.13/27.07  |            (173), (174), (175), (176), (177), (178), (179), (180), (181),
% 173.13/27.07  |            (182), (183), (184), (185), (186), (187), (188), (189), (190),
% 173.13/27.07  |            (191) are inconsistent by sub-proof #487.
% 173.13/27.07  | 
% 173.13/27.07  End of proof
% 173.13/27.07  
% 173.13/27.07  Sub-proof #439 shows that the following formulas are inconsistent:
% 173.13/27.07  ----------------------------------------------------------------
% 173.13/27.07    (1)   ~ (all_52_12 = all_14_2)
% 173.13/27.07    (2)  all_56_1 = all_52_4
% 173.13/27.07    (3)  all_56_12 = all_52_3
% 173.13/27.07    (4)   ~ (all_10_2 = e0)
% 173.13/27.07    (5)   ~ (all_52_8 = all_52_12)
% 173.13/27.07    (6)   ~ (e3 = e1)
% 173.13/27.07    (7)  all_58_23 = all_52_7
% 173.13/27.07    (8)   ~ (all_52_2 = all_6_2)
% 173.13/27.07    (9)   ~ (all_52_4 = all_4_2)
% 173.13/27.07    (10)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 173.13/27.07    (11)   ~ (all_52_12 = all_6_2)
% 173.13/27.07    (12)   ~ (all_14_2 = e1)
% 173.13/27.07    (13)  all_56_15 = all_14_2
% 173.13/27.07    (14)  op(e3, all_52_4) = all_58_1
% 173.13/27.07    (15)  all_54_1 = all_52_4
% 173.13/27.07    (16)   ~ (all_52_13 = all_4_2)
% 173.13/27.07    (17)  all_56_8 = all_10_2
% 173.13/27.07    (18)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 173.13/27.07    (19)   ~ (all_52_4 = all_52_6)
% 173.13/27.07    (20)  all_58_31 = all_14_2
% 173.13/27.07    (21)   ~ (all_52_4 = e0)
% 173.13/27.07    (22)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 173.13/27.07    (23)  all_54_2 = all_52_8
% 173.13/27.07    (24)  all_56_11 = all_52_14
% 173.13/27.07    (25)   ~ (all_52_6 = all_52_7)
% 173.13/27.07    (26)  all_56_0 = all_6_2
% 173.13/27.07    (27)  all_58_30 = all_52_14
% 173.13/27.07    (28)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 173.13/27.07    (29)  op(e3, e1) = all_52_8
% 173.13/27.07    (30)  all_58_19 = all_52_3
% 173.13/27.07    (31)  all_56_9 = all_52_12
% 173.13/27.07    (32)   ~ (all_52_2 = all_52_6)
% 173.13/27.07    (33)  all_56_2 = e0
% 173.13/27.07    (34)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 173.13/27.07    (35)   ~ (e3 = e2)
% 173.13/27.07    (36)   ~ (e2 = e1)
% 173.13/27.07    (37)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 173.13/27.07    (38)   ~ (all_52_13 = all_14_2)
% 173.13/27.07    (39)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 173.13/27.07    (40)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 173.13/27.07    (41)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 173.13/27.07    (42)  all_58_18 = all_52_2
% 173.13/27.07    (43)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 173.13/27.07    (44)  all_58_16 = all_6_2
% 173.13/27.07    (45)   ~ (all_52_4 = all_6_2)
% 173.13/27.07    (46)   ~ (e3 = e0)
% 173.13/27.07    (47)  all_58_29 = all_52_13
% 173.13/27.07    (48)   ~ (all_52_8 = all_10_2)
% 173.13/27.07    (49)  all_56_4 = all_52_8
% 173.13/27.07    (50)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 173.13/27.07    (51)  all_58_20 = all_52_4
% 173.13/27.07    (52)  all_54_10 = all_10_2
% 173.13/27.07    (53)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 173.13/27.07    (54)  all_58_17 = e0
% 173.13/27.07    (55)  op(all_10_2, e1) = e0
% 173.13/27.07    (56)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 173.13/27.07    (57)   ~ (all_52_8 = all_6_2)
% 173.13/27.07    (58)  all_56_6 = all_52_2
% 173.13/27.07    (59)   ~ (all_52_12 = all_52_14)
% 173.13/27.07    (60)  all_58_22 = all_52_6
% 173.13/27.07    (61)   ~ (all_52_14 = all_10_2)
% 173.13/27.07    (62)   ~ (all_52_2 = all_52_3)
% 173.13/27.07    (63)   ~ (all_52_4 = all_52_8)
% 173.13/27.07    (64)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.13/27.07            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.13/27.07    (65)   ~ (all_52_2 = all_52_14)
% 173.13/27.07    (66)  all_58_21 = all_4_2
% 173.13/27.07    (67)  all_56_10 = all_52_13
% 173.13/27.07    (68)   ~ (all_52_3 = e0)
% 173.13/27.07    (69)   ~ (e2 = e0)
% 173.13/27.07    (70)  all_58_28 = all_52_12
% 173.13/27.07    (71)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 173.13/27.07    (72)   ~ (e1 = e0)
% 173.13/27.07    (73)  all_56_7 = all_52_6
% 173.13/27.07    (74)   ~ (all_52_8 = e0)
% 173.13/27.07    (75)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 173.13/27.07  
% 173.13/27.07  Begin of proof
% 173.13/27.07  | 
% 173.13/27.07  | BETA: splitting (37) gives:
% 173.13/27.07  | 
% 173.13/27.07  | Case 1:
% 173.13/27.07  | | 
% 173.13/27.07  | |   (76)  all_56_1 = e0
% 173.13/27.07  | | 
% 173.13/27.07  | | COMBINE_EQS: (2), (76) imply:
% 173.13/27.07  | |   (77)  all_52_4 = e0
% 173.13/27.07  | | 
% 173.13/27.07  | | REDUCE: (21), (77) imply:
% 173.13/27.07  | |   (78)  $false
% 173.13/27.07  | | 
% 173.13/27.07  | | CLOSE: (78) is inconsistent.
% 173.13/27.07  | | 
% 173.13/27.07  | Case 2:
% 173.13/27.07  | | 
% 173.13/27.07  | |   (79)  all_56_4 = e0 | all_56_9 = e0
% 173.13/27.07  | | 
% 173.13/27.07  | | BETA: splitting (79) gives:
% 173.13/27.07  | | 
% 173.13/27.07  | | Case 1:
% 173.13/27.07  | | | 
% 173.13/27.07  | | |   (80)  all_56_4 = e0
% 173.13/27.07  | | | 
% 173.13/27.07  | | | COMBINE_EQS: (49), (80) imply:
% 173.13/27.07  | | |   (81)  all_52_8 = e0
% 173.13/27.07  | | | 
% 173.13/27.07  | | | REDUCE: (74), (81) imply:
% 173.13/27.07  | | |   (82)  $false
% 173.13/27.07  | | | 
% 173.13/27.07  | | | CLOSE: (82) is inconsistent.
% 173.13/27.07  | | | 
% 173.13/27.07  | | Case 2:
% 173.13/27.07  | | | 
% 173.13/27.07  | | |   (83)  all_56_9 = e0
% 173.13/27.07  | | | 
% 173.13/27.07  | | | COMBINE_EQS: (31), (83) imply:
% 173.13/27.07  | | |   (84)  all_52_12 = e0
% 173.13/27.07  | | | 
% 173.13/27.07  | | | SIMP: (84) implies:
% 173.13/27.07  | | |   (85)  all_52_12 = e0
% 173.13/27.07  | | | 
% 173.13/27.07  | | | COMBINE_EQS: (70), (85) imply:
% 173.13/27.07  | | |   (86)  all_58_28 = e0
% 173.13/27.07  | | | 
% 173.13/27.07  | | | REDUCE: (59), (85) imply:
% 173.13/27.07  | | |   (87)   ~ (all_52_14 = e0)
% 173.13/27.07  | | | 
% 173.13/27.07  | | | SIMP: (87) implies:
% 173.13/27.07  | | |   (88)   ~ (all_52_14 = e0)
% 173.13/27.07  | | | 
% 173.13/27.07  | | | REDUCE: (1), (85) imply:
% 173.13/27.07  | | |   (89)   ~ (all_14_2 = e0)
% 173.13/27.07  | | | 
% 173.13/27.07  | | | SIMP: (89) implies:
% 173.13/27.07  | | |   (90)   ~ (all_14_2 = e0)
% 173.13/27.07  | | | 
% 173.13/27.07  | | | REDUCE: (11), (85) imply:
% 173.13/27.07  | | |   (91)   ~ (all_6_2 = e0)
% 173.13/27.07  | | | 
% 173.13/27.07  | | | SIMP: (91) implies:
% 173.13/27.07  | | |   (92)   ~ (all_6_2 = e0)
% 173.13/27.07  | | | 
% 173.13/27.07  | | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (9), (10), (12), (13), (14),
% 173.13/27.07  | | |            (15), (16), (17), (18), (19), (20), (22), (23), (24), (25),
% 173.13/27.07  | | |            (26), (27), (28), (29), (30), (32), (33), (34), (35), (36),
% 173.13/27.07  | | |            (38), (39), (40), (41), (42), (43), (44), (45), (46), (47),
% 173.13/27.07  | | |            (48), (49), (50), (51), (52), (53), (54), (55), (56), (57),
% 173.13/27.07  | | |            (58), (60), (61), (62), (63), (64), (65), (66), (67), (68),
% 173.13/27.07  | | |            (69), (71), (72), (73), (74), (75), (83), (86), (88), (90),
% 173.13/27.07  | | |            (92) are inconsistent by sub-proof #440.
% 173.13/27.07  | | | 
% 173.13/27.07  | | End of split
% 173.13/27.07  | | 
% 173.13/27.07  | End of split
% 173.13/27.07  | 
% 173.13/27.07  End of proof
% 173.13/27.07  
% 173.13/27.07  Sub-proof #440 shows that the following formulas are inconsistent:
% 173.13/27.07  ----------------------------------------------------------------
% 173.13/27.07    (1)  all_56_1 = all_52_4
% 173.13/27.07    (2)  all_56_12 = all_52_3
% 173.13/27.07    (3)   ~ (all_10_2 = e0)
% 173.13/27.07    (4)   ~ (e3 = e1)
% 173.13/27.07    (5)  all_58_23 = all_52_7
% 173.13/27.07    (6)   ~ (all_52_2 = all_6_2)
% 173.13/27.07    (7)   ~ (all_52_4 = all_4_2)
% 173.13/27.07    (8)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 173.13/27.07    (9)   ~ (all_14_2 = e1)
% 173.13/27.07    (10)  all_56_15 = all_14_2
% 173.13/27.07    (11)  op(e3, all_52_4) = all_58_1
% 173.13/27.07    (12)  all_54_1 = all_52_4
% 173.13/27.07    (13)   ~ (all_14_2 = e0)
% 173.13/27.07    (14)   ~ (all_52_13 = all_4_2)
% 173.13/27.07    (15)  all_56_8 = all_10_2
% 173.13/27.07    (16)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 173.13/27.07    (17)   ~ (all_52_4 = all_52_6)
% 173.13/27.07    (18)  all_58_31 = all_14_2
% 173.13/27.07    (19)  all_56_9 = e0
% 173.13/27.07    (20)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 173.13/27.07    (21)  all_54_2 = all_52_8
% 173.13/27.07    (22)  all_56_11 = all_52_14
% 173.13/27.07    (23)   ~ (all_52_6 = all_52_7)
% 173.13/27.07    (24)  all_56_0 = all_6_2
% 173.13/27.07    (25)  all_58_30 = all_52_14
% 173.13/27.07    (26)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 173.13/27.07    (27)  op(e3, e1) = all_52_8
% 173.13/27.07    (28)  all_58_19 = all_52_3
% 173.13/27.07    (29)   ~ (all_52_2 = all_52_6)
% 173.13/27.07    (30)  all_56_2 = e0
% 173.13/27.07    (31)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 173.13/27.07    (32)   ~ (e3 = e2)
% 173.13/27.07    (33)   ~ (e2 = e1)
% 173.13/27.07    (34)   ~ (all_52_13 = all_14_2)
% 173.13/27.07    (35)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 173.13/27.07    (36)  all_58_28 = e0
% 173.13/27.07    (37)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 173.13/27.07    (38)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 173.13/27.07    (39)  all_58_18 = all_52_2
% 173.13/27.07    (40)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 173.13/27.07    (41)  all_58_16 = all_6_2
% 173.13/27.07    (42)   ~ (all_52_4 = all_6_2)
% 173.13/27.07    (43)   ~ (e3 = e0)
% 173.13/27.07    (44)  all_58_29 = all_52_13
% 173.13/27.07    (45)   ~ (all_6_2 = e0)
% 173.13/27.07    (46)   ~ (all_52_8 = all_10_2)
% 173.13/27.07    (47)  all_56_4 = all_52_8
% 173.13/27.07    (48)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 173.13/27.07    (49)  all_58_20 = all_52_4
% 173.13/27.07    (50)  all_54_10 = all_10_2
% 173.13/27.07    (51)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 173.13/27.07    (52)  all_58_17 = e0
% 173.13/27.07    (53)  op(all_10_2, e1) = e0
% 173.13/27.07    (54)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 173.13/27.07    (55)   ~ (all_52_8 = all_6_2)
% 173.13/27.07    (56)  all_56_6 = all_52_2
% 173.13/27.07    (57)  all_58_22 = all_52_6
% 173.13/27.07    (58)   ~ (all_52_14 = all_10_2)
% 173.13/27.07    (59)   ~ (all_52_2 = all_52_3)
% 173.13/27.07    (60)   ~ (all_52_4 = all_52_8)
% 173.13/27.07    (61)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.13/27.07            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.13/27.07    (62)   ~ (all_52_2 = all_52_14)
% 173.13/27.07    (63)  all_58_21 = all_4_2
% 173.13/27.07    (64)  all_56_10 = all_52_13
% 173.13/27.07    (65)   ~ (all_52_3 = e0)
% 173.13/27.07    (66)   ~ (e2 = e0)
% 173.13/27.07    (67)   ~ (all_52_14 = e0)
% 173.13/27.07    (68)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 173.13/27.07    (69)   ~ (e1 = e0)
% 173.13/27.07    (70)  all_56_7 = all_52_6
% 173.13/27.07    (71)   ~ (all_52_8 = e0)
% 173.13/27.07    (72)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 173.13/27.07  
% 173.13/27.07  Begin of proof
% 173.13/27.07  | 
% 173.13/27.07  | BETA: splitting (31) gives:
% 173.13/27.07  | 
% 173.13/27.07  | Case 1:
% 173.13/27.07  | | 
% 173.13/27.07  | |   (73)  all_56_7 = e0
% 173.13/27.07  | | 
% 173.13/27.07  | | COMBINE_EQS: (70), (73) imply:
% 173.13/27.07  | |   (74)  all_52_6 = e0
% 173.13/27.07  | | 
% 173.13/27.07  | | COMBINE_EQS: (57), (74) imply:
% 173.13/27.07  | |   (75)  all_58_22 = e0
% 173.13/27.07  | | 
% 173.13/27.07  | | REDUCE: (29), (74) imply:
% 173.13/27.07  | |   (76)   ~ (all_52_2 = e0)
% 173.13/27.07  | | 
% 173.13/27.07  | | REDUCE: (17), (74) imply:
% 173.13/27.07  | |   (77)   ~ (all_52_4 = e0)
% 173.13/27.07  | | 
% 173.13/27.07  | | REDUCE: (23), (74) imply:
% 173.13/27.07  | |   (78)   ~ (all_52_7 = e0)
% 173.13/27.07  | | 
% 173.13/27.07  | | SIMP: (78) implies:
% 173.13/27.07  | |   (79)   ~ (all_52_7 = e0)
% 173.13/27.07  | | 
% 173.13/27.08  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 173.13/27.08  | |            (14), (16), (18), (19), (20), (21), (22), (24), (25), (26), (27),
% 173.13/27.08  | |            (28), (30), (32), (33), (34), (35), (36), (37), (38), (39), (40),
% 173.13/27.08  | |            (41), (42), (43), (44), (45), (46), (47), (48), (49), (50), (51),
% 173.13/27.08  | |            (52), (53), (54), (55), (56), (58), (59), (60), (61), (62), (63),
% 173.13/27.08  | |            (64), (65), (66), (68), (69), (71), (72), (75), (76), (77), (79)
% 173.13/27.08  | |            are inconsistent by sub-proof #441.
% 173.13/27.08  | | 
% 173.13/27.08  | Case 2:
% 173.13/27.08  | | 
% 173.13/27.08  | |   (80)  all_56_8 = e0 | all_56_11 = e0
% 173.13/27.08  | | 
% 173.13/27.08  | | REF_CLOSE: (3), (15), (22), (67), (80) are inconsistent by sub-proof #912.
% 173.13/27.08  | | 
% 173.13/27.08  | End of split
% 173.13/27.08  | 
% 173.13/27.08  End of proof
% 173.13/27.08  
% 173.13/27.08  Sub-proof #441 shows that the following formulas are inconsistent:
% 173.13/27.08  ----------------------------------------------------------------
% 173.13/27.08    (1)  all_56_1 = all_52_4
% 173.13/27.08    (2)  all_56_12 = all_52_3
% 173.13/27.08    (3)   ~ (e3 = e1)
% 173.13/27.08    (4)  all_58_23 = all_52_7
% 173.13/27.08    (5)   ~ (all_52_2 = all_6_2)
% 173.13/27.08    (6)   ~ (all_52_4 = all_4_2)
% 173.13/27.08    (7)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 173.13/27.08    (8)   ~ (all_14_2 = e1)
% 173.13/27.08    (9)  all_56_15 = all_14_2
% 173.13/27.08    (10)  op(e3, all_52_4) = all_58_1
% 173.13/27.08    (11)  all_54_1 = all_52_4
% 173.13/27.08    (12)   ~ (all_14_2 = e0)
% 173.13/27.08    (13)   ~ (all_52_13 = all_4_2)
% 173.13/27.08    (14)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 173.13/27.08    (15)  all_58_31 = all_14_2
% 173.13/27.08    (16)   ~ (all_52_4 = e0)
% 173.13/27.08    (17)  all_56_9 = e0
% 173.13/27.08    (18)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 173.13/27.08    (19)  all_54_2 = all_52_8
% 173.13/27.08    (20)  all_56_11 = all_52_14
% 173.13/27.08    (21)  all_56_0 = all_6_2
% 173.13/27.08    (22)  all_58_30 = all_52_14
% 173.13/27.08    (23)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 173.13/27.08    (24)  op(e3, e1) = all_52_8
% 173.13/27.08    (25)  all_58_19 = all_52_3
% 173.13/27.08    (26)  all_58_22 = e0
% 173.13/27.08    (27)  all_56_2 = e0
% 173.13/27.08    (28)   ~ (e3 = e2)
% 173.13/27.08    (29)   ~ (e2 = e1)
% 173.13/27.08    (30)   ~ (all_52_2 = e0)
% 173.13/27.08    (31)   ~ (all_52_13 = all_14_2)
% 173.13/27.08    (32)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 173.13/27.08    (33)  all_58_28 = e0
% 173.13/27.08    (34)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 173.13/27.08    (35)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 173.13/27.08    (36)  all_58_18 = all_52_2
% 173.13/27.08    (37)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 173.13/27.08    (38)  all_58_16 = all_6_2
% 173.13/27.08    (39)   ~ (all_52_4 = all_6_2)
% 173.13/27.08    (40)   ~ (e3 = e0)
% 173.13/27.08    (41)  all_58_29 = all_52_13
% 173.13/27.08    (42)   ~ (all_6_2 = e0)
% 173.13/27.08    (43)   ~ (all_52_8 = all_10_2)
% 173.13/27.08    (44)  all_56_4 = all_52_8
% 173.13/27.08    (45)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 173.13/27.08    (46)  all_58_20 = all_52_4
% 173.13/27.08    (47)  all_54_10 = all_10_2
% 173.13/27.08    (48)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 173.13/27.08    (49)  all_58_17 = e0
% 173.13/27.08    (50)  op(all_10_2, e1) = e0
% 173.13/27.08    (51)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 173.13/27.08    (52)   ~ (all_52_8 = all_6_2)
% 173.13/27.08    (53)  all_56_6 = all_52_2
% 173.13/27.08    (54)   ~ (all_52_7 = e0)
% 173.13/27.08    (55)   ~ (all_52_14 = all_10_2)
% 173.13/27.08    (56)   ~ (all_52_2 = all_52_3)
% 173.13/27.08    (57)   ~ (all_52_4 = all_52_8)
% 173.13/27.08    (58)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.13/27.08            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.13/27.08    (59)   ~ (all_52_2 = all_52_14)
% 173.13/27.08    (60)  all_58_21 = all_4_2
% 173.13/27.08    (61)  all_56_10 = all_52_13
% 173.13/27.08    (62)   ~ (all_52_3 = e0)
% 173.13/27.08    (63)   ~ (e2 = e0)
% 173.13/27.08    (64)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 173.13/27.08    (65)   ~ (e1 = e0)
% 173.13/27.08    (66)   ~ (all_52_8 = e0)
% 173.13/27.08    (67)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 173.13/27.08  
% 173.13/27.08  Begin of proof
% 173.13/27.08  | 
% 173.13/27.08  | BETA: splitting (67) gives:
% 173.13/27.08  | 
% 173.13/27.08  | Case 1:
% 173.13/27.08  | | 
% 173.13/27.08  | |   (68)  all_56_12 = e1
% 173.13/27.08  | | 
% 173.13/27.08  | | COMBINE_EQS: (2), (68) imply:
% 173.50/27.08  | |   (69)  all_52_3 = e1
% 173.50/27.08  | | 
% 173.50/27.08  | | SIMP: (69) implies:
% 173.50/27.08  | |   (70)  all_52_3 = e1
% 173.50/27.08  | | 
% 173.50/27.08  | | COMBINE_EQS: (25), (70) imply:
% 173.50/27.08  | |   (71)  all_58_19 = e1
% 173.50/27.08  | | 
% 173.50/27.08  | | REDUCE: (56), (70) imply:
% 173.50/27.08  | |   (72)   ~ (all_52_2 = e1)
% 173.50/27.08  | | 
% 173.50/27.08  | | BETA: splitting (7) gives:
% 173.50/27.08  | | 
% 173.50/27.08  | | Case 1:
% 173.50/27.08  | | | 
% 173.50/27.08  | | |   (73)  all_58_19 = e0
% 173.50/27.08  | | | 
% 173.50/27.08  | | | COMBINE_EQS: (71), (73) imply:
% 173.50/27.08  | | |   (74)  e1 = e0
% 173.50/27.08  | | | 
% 173.50/27.08  | | | REDUCE: (65), (74) imply:
% 173.50/27.08  | | |   (75)  $false
% 173.50/27.08  | | | 
% 173.50/27.08  | | | CLOSE: (75) is inconsistent.
% 173.50/27.08  | | | 
% 173.50/27.08  | | Case 2:
% 173.50/27.08  | | | 
% 173.50/27.08  | | |   (76)   ~ (all_58_19 = e0)
% 173.50/27.08  | | |   (77)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 173.50/27.08  | | | 
% 173.50/27.08  | | | BETA: splitting (77) gives:
% 173.50/27.08  | | | 
% 173.50/27.08  | | | Case 1:
% 173.50/27.08  | | | | 
% 173.50/27.08  | | | |   (78)  all_58_18 = e1
% 173.50/27.08  | | | | 
% 173.50/27.08  | | | | REF_CLOSE: (36), (72), (78) are inconsistent by sub-proof #924.
% 173.50/27.08  | | | | 
% 173.50/27.08  | | | Case 2:
% 173.50/27.08  | | | | 
% 173.50/27.08  | | | |   (79)  all_58_16 = e3 | all_58_17 = e2
% 173.50/27.08  | | | | 
% 173.50/27.08  | | | | BETA: splitting (79) gives:
% 173.50/27.08  | | | | 
% 173.50/27.08  | | | | Case 1:
% 173.50/27.08  | | | | | 
% 173.50/27.08  | | | | |   (80)  all_58_17 = e2
% 173.50/27.08  | | | | | 
% 173.50/27.08  | | | | | REF_CLOSE: (49), (63), (80) are inconsistent by sub-proof #981.
% 173.50/27.08  | | | | | 
% 173.50/27.08  | | | | Case 2:
% 173.50/27.08  | | | | | 
% 173.50/27.08  | | | | |   (81)  all_58_16 = e3
% 173.50/27.08  | | | | |   (82)   ~ (all_58_17 = e2)
% 173.50/27.08  | | | | | 
% 173.50/27.08  | | | | | COMBINE_EQS: (38), (81) imply:
% 173.50/27.08  | | | | |   (83)  all_6_2 = e3
% 173.50/27.08  | | | | | 
% 173.50/27.08  | | | | | COMBINE_EQS: (21), (83) imply:
% 173.50/27.08  | | | | |   (84)  all_56_0 = e3
% 173.50/27.08  | | | | | 
% 173.50/27.08  | | | | | REDUCE: (49), (82) imply:
% 173.50/27.08  | | | | |   (85)   ~ (e2 = e0)
% 173.50/27.08  | | | | | 
% 173.50/27.08  | | | | | REDUCE: (39), (83) imply:
% 173.50/27.08  | | | | |   (86)   ~ (all_52_4 = e3)
% 173.50/27.08  | | | | | 
% 173.50/27.08  | | | | | REDUCE: (52), (83) imply:
% 173.50/27.08  | | | | |   (87)   ~ (all_52_8 = e3)
% 173.50/27.08  | | | | | 
% 173.50/27.08  | | | | | BETA: splitting (37) gives:
% 173.50/27.08  | | | | | 
% 173.50/27.08  | | | | | Case 1:
% 173.50/27.08  | | | | | | 
% 173.50/27.08  | | | | | |   (88)  all_56_0 = e2
% 173.50/27.08  | | | | | | 
% 173.50/27.08  | | | | | | REF_CLOSE: (28), (49), (63), (79), (81), (84), (88) are inconsistent
% 173.50/27.08  | | | | | |            by sub-proof #444.
% 173.50/27.08  | | | | | | 
% 173.50/27.08  | | | | | Case 2:
% 173.50/27.08  | | | | | | 
% 173.50/27.08  | | | | | |   (89)  all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 173.50/27.08  | | | | | | 
% 173.50/27.08  | | | | | | BETA: splitting (89) gives:
% 173.50/27.08  | | | | | | 
% 173.50/27.08  | | | | | | Case 1:
% 173.50/27.08  | | | | | | | 
% 173.50/27.08  | | | | | | |   (90)  all_56_2 = e2
% 173.50/27.08  | | | | | | | 
% 173.50/27.08  | | | | | | | REF_CLOSE: (27), (63), (90) are inconsistent by sub-proof #443.
% 173.50/27.08  | | | | | | | 
% 173.50/27.08  | | | | | | Case 2:
% 173.50/27.08  | | | | | | | 
% 173.50/27.08  | | | | | | |   (91)  all_56_6 = e2 | all_56_12 = e2
% 173.50/27.08  | | | | | | | 
% 173.50/27.08  | | | | | | | BETA: splitting (51) gives:
% 173.50/27.08  | | | | | | | 
% 173.50/27.08  | | | | | | | Case 1:
% 173.50/27.08  | | | | | | | | 
% 173.50/27.08  | | | | | | | |   (92)  all_58_23 = e0
% 173.50/27.08  | | | | | | | | 
% 173.50/27.08  | | | | | | | | COMBINE_EQS: (4), (92) imply:
% 173.50/27.08  | | | | | | | |   (93)  all_52_7 = e0
% 173.50/27.08  | | | | | | | | 
% 173.50/27.08  | | | | | | | | REDUCE: (54), (93) imply:
% 173.50/27.08  | | | | | | | |   (94)  $false
% 173.50/27.08  | | | | | | | | 
% 173.50/27.08  | | | | | | | | CLOSE: (94) is inconsistent.
% 173.50/27.08  | | | | | | | | 
% 173.50/27.08  | | | | | | | Case 2:
% 173.50/27.08  | | | | | | | | 
% 173.50/27.08  | | | | | | | |   (95)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 173.50/27.08  | | | | | | | | 
% 173.50/27.08  | | | | | | | | BETA: splitting (95) gives:
% 173.50/27.08  | | | | | | | | 
% 173.50/27.08  | | | | | | | | Case 1:
% 173.50/27.08  | | | | | | | | | 
% 173.50/27.08  | | | | | | | | |   (96)  all_58_22 = e1
% 173.50/27.08  | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | REF_CLOSE: (26), (65), (96) are inconsistent by sub-proof
% 173.50/27.08  | | | | | | | | |            #923.
% 173.50/27.08  | | | | | | | | | 
% 173.50/27.08  | | | | | | | | Case 2:
% 173.50/27.08  | | | | | | | | | 
% 173.50/27.08  | | | | | | | | |   (97)  all_58_20 = e3 | all_58_21 = e2
% 173.50/27.08  | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | BETA: splitting (91) gives:
% 173.50/27.08  | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | Case 1:
% 173.50/27.08  | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | |   (98)  all_56_6 = e2
% 173.50/27.08  | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | COMBINE_EQS: (53), (98) imply:
% 173.50/27.08  | | | | | | | | | |   (99)  all_52_2 = e2
% 173.50/27.08  | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | SIMP: (99) implies:
% 173.50/27.08  | | | | | | | | | |   (100)  all_52_2 = e2
% 173.50/27.08  | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | REDUCE: (59), (100) imply:
% 173.50/27.08  | | | | | | | | | |   (101)   ~ (all_52_14 = e2)
% 173.50/27.08  | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | SIMP: (101) implies:
% 173.50/27.08  | | | | | | | | | |   (102)   ~ (all_52_14 = e2)
% 173.50/27.08  | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | BETA: splitting (97) gives:
% 173.50/27.08  | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | Case 1:
% 173.50/27.08  | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | |   (103)  all_58_21 = e2
% 173.50/27.08  | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | COMBINE_EQS: (60), (103) imply:
% 173.50/27.08  | | | | | | | | | | |   (104)  all_4_2 = e2
% 173.50/27.08  | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | REDUCE: (13), (104) imply:
% 173.50/27.08  | | | | | | | | | | |   (105)   ~ (all_52_13 = e2)
% 173.50/27.08  | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | BETA: splitting (34) gives:
% 173.50/27.08  | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | Case 1:
% 173.50/27.08  | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | |   (106)  all_54_1 = e0
% 173.50/27.08  | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | REF_CLOSE: (11), (16), (106) are inconsistent by sub-proof
% 173.50/27.08  | | | | | | | | | | | |            #866.
% 173.50/27.08  | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | Case 2:
% 173.50/27.08  | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | |   (107)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 173.50/27.08  | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | BETA: splitting (64) gives:
% 173.50/27.08  | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | Case 1:
% 173.50/27.08  | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | |   (108)  all_56_1 = e1
% 173.50/27.08  | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | COMBINE_EQS: (1), (108) imply:
% 173.50/27.08  | | | | | | | | | | | | |   (109)  all_52_4 = e1
% 173.50/27.08  | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | COMBINE_EQS: (46), (109) imply:
% 173.50/27.08  | | | | | | | | | | | | |   (110)  all_58_20 = e1
% 173.50/27.08  | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | REDUCE: (57), (109) imply:
% 173.50/27.08  | | | | | | | | | | | | |   (111)   ~ (all_52_8 = e1)
% 173.50/27.08  | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | SIMP: (111) implies:
% 173.50/27.08  | | | | | | | | | | | | |   (112)   ~ (all_52_8 = e1)
% 173.50/27.08  | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | REDUCE: (86), (109) imply:
% 173.50/27.08  | | | | | | | | | | | | |   (113)   ~ (e3 = e1)
% 173.50/27.08  | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | REDUCE: (10), (109) imply:
% 173.50/27.08  | | | | | | | | | | | | |   (114)  op(e3, e1) = all_58_1
% 173.50/27.08  | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | BETA: splitting (48) gives:
% 173.50/27.08  | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | Case 1:
% 173.50/27.08  | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | |   (115)  all_54_2 = e0
% 173.50/27.08  | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | REF_CLOSE: (19), (66), (115) are inconsistent by sub-proof
% 173.50/27.08  | | | | | | | | | | | | | |            #763.
% 173.50/27.08  | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | Case 2:
% 173.50/27.08  | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | |   (116)   ~ (all_54_2 = e0)
% 173.50/27.08  | | | | | | | | | | | | | |   (117)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1
% 173.50/27.08  | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | BETA: splitting (18) gives:
% 173.50/27.08  | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | Case 1:
% 173.50/27.08  | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | |   (118)  all_56_4 = e2
% 173.50/27.08  | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | COMBINE_EQS: (44), (118) imply:
% 173.50/27.08  | | | | | | | | | | | | | | |   (119)  all_52_8 = e2
% 173.50/27.08  | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | REDUCE: (43), (119) imply:
% 173.50/27.08  | | | | | | | | | | | | | | |   (120)   ~ (all_10_2 = e2)
% 173.50/27.08  | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | SIMP: (120) implies:
% 173.50/27.08  | | | | | | | | | | | | | | |   (121)   ~ (all_10_2 = e2)
% 173.50/27.08  | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | REDUCE: (24), (119) imply:
% 173.50/27.08  | | | | | | | | | | | | | | |   (122)  op(e3, e1) = e2
% 173.50/27.08  | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | BETA: splitting (23) gives:
% 173.50/27.08  | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | Case 1:
% 173.50/27.08  | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | |   (123)  all_56_9 = e2
% 173.50/27.08  | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | COMBINE_EQS: (17), (123) imply:
% 173.50/27.08  | | | | | | | | | | | | | | | |   (124)  e2 = e0
% 173.50/27.08  | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | COMBINE_EQS: (103), (124) imply:
% 173.50/27.08  | | | | | | | | | | | | | | | |   (125)  all_58_21 = e0
% 173.50/27.08  | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | REF_CLOSE: (3), (63), (97), (110), (125) are inconsistent by
% 173.50/27.08  | | | | | | | | | | | | | | | |            sub-proof #676.
% 173.50/27.08  | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | Case 2:
% 173.50/27.08  | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | |   (126)  all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 173.50/27.08  | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | BETA: splitting (126) gives:
% 173.50/27.08  | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.08  | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | |   (127)  all_56_10 = e2
% 173.50/27.08  | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (105), (127) are inconsistent by sub-proof
% 173.50/27.08  | | | | | | | | | | | | | | | | |            #517.
% 173.50/27.08  | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.08  | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | |   (128)  all_56_11 = e2 | all_56_15 = e2
% 173.50/27.08  | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | BETA: splitting (128) gives:
% 173.50/27.08  | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.08  | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | |   (129)  all_56_11 = e2
% 173.50/27.08  | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (102), (129) are inconsistent by sub-proof
% 173.50/27.08  | | | | | | | | | | | | | | | | | |            #442.
% 173.50/27.08  | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.08  | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | |   (130)  all_56_15 = e2
% 173.50/27.08  | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9), (130) imply:
% 173.50/27.08  | | | | | | | | | | | | | | | | | |   (131)  all_14_2 = e2
% 173.50/27.08  | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | SIMP: (131) implies:
% 173.50/27.08  | | | | | | | | | | | | | | | | | |   (132)  all_14_2 = e2
% 173.50/27.08  | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15), (132) imply:
% 173.50/27.08  | | | | | | | | | | | | | | | | | |   (133)  all_58_31 = e2
% 173.50/27.08  | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | BETA: splitting (14) gives:
% 173.50/27.08  | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | |   (134)  all_58_31 = e0
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (133), (134) imply:
% 173.50/27.08  | | | | | | | | | | | | | | | | | | |   (135)  e2 = e0
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (103), (135) imply:
% 173.50/27.08  | | | | | | | | | | | | | | | | | | |   (136)  all_58_21 = e0
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (63), (97), (110), (136) are inconsistent by
% 173.50/27.08  | | | | | | | | | | | | | | | | | | |            sub-proof #676.
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | |   (137)   ~ (all_58_31 = e0)
% 173.50/27.08  | | | | | | | | | | | | | | | | | | |   (138)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | BETA: splitting (138) gives:
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | |   (139)  all_58_30 = e1
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22), (139) imply:
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | |   (140)  all_52_14 = e1
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (140) imply:
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | |   (141)   ~ (all_10_2 = e1)
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | SIMP: (141) implies:
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | |   (142)   ~ (all_10_2 = e1)
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | |   (143)  all_54_10 = e1
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (142), (143) are inconsistent by sub-proof
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | |            #931.
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | |   (144)   ~ (all_54_10 = e1)
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | |   (145)  all_54_10 = e3 | all_54_10 = e2
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (145) gives:
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | |   (146)  all_54_10 = e2
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (121), (146) are inconsistent by sub-proof
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | |            #930.
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | |   (147)  all_54_10 = e3
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (47), (147) imply:
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | |   (148)  all_10_2 = e3
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | | SIMP: (148) implies:
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | |   (149)  all_10_2 = e3
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (149) imply:
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | |   (150)  op(e3, e1) = e0
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e2, all_58_1, e1, e3,
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | |              simplifying with (114), (122) gives:
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | |   (151)  all_58_1 = e2
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (58) with e0, all_58_1, e1, e3,
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | |              simplifying with (114), (150) gives:
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | |   (152)  all_58_1 = e0
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (151), (152) imply:
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | |   (153)  e2 = e0
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (103), (153) imply:
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | |   (154)  all_58_21 = e0
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (63), (97), (110), (154) are inconsistent by
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #676.
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | |   (155)  all_58_28 = e3 | all_58_29 = e2
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (40), (41), (105), (155) are inconsistent by
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | |            sub-proof #844.
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.08  | | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.08  | | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | | End of split
% 173.50/27.08  | | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | | End of split
% 173.50/27.08  | | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | End of split
% 173.50/27.08  | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | Case 2:
% 173.50/27.08  | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | |   (156)   ~ (all_56_4 = e2)
% 173.50/27.08  | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | REDUCE: (44), (156) imply:
% 173.50/27.08  | | | | | | | | | | | | | | |   (157)   ~ (all_52_8 = e2)
% 173.50/27.08  | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | | REF_CLOSE: (19), (87), (112), (117), (157) are inconsistent
% 173.50/27.08  | | | | | | | | | | | | | | |            by sub-proof #690.
% 173.50/27.08  | | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | | End of split
% 173.50/27.08  | | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | End of split
% 173.50/27.08  | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | Case 2:
% 173.50/27.08  | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | |   (158)   ~ (all_56_1 = e1)
% 173.50/27.08  | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | REDUCE: (1), (158) imply:
% 173.50/27.08  | | | | | | | | | | | | |   (159)   ~ (all_52_4 = e1)
% 173.50/27.08  | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | | REF_CLOSE: (6), (11), (46), (60), (86), (97), (107), (159)
% 173.50/27.08  | | | | | | | | | | | | |            are inconsistent by sub-proof #688.
% 173.50/27.08  | | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | | End of split
% 173.50/27.08  | | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | End of split
% 173.50/27.08  | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | Case 2:
% 173.50/27.08  | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | |   (160)  all_58_20 = e3
% 173.50/27.08  | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | COMBINE_EQS: (46), (160) imply:
% 173.50/27.08  | | | | | | | | | | |   (161)  all_52_4 = e3
% 173.50/27.08  | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | REDUCE: (86), (161) imply:
% 173.50/27.08  | | | | | | | | | | |   (162)  $false
% 173.50/27.08  | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | | CLOSE: (162) is inconsistent.
% 173.50/27.08  | | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | End of split
% 173.50/27.08  | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | Case 2:
% 173.50/27.08  | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | |   (163)  all_56_12 = e2
% 173.50/27.08  | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | COMBINE_EQS: (68), (163) imply:
% 173.50/27.08  | | | | | | | | | |   (164)  e2 = e1
% 173.50/27.08  | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | REDUCE: (29), (164) imply:
% 173.50/27.08  | | | | | | | | | |   (165)  $false
% 173.50/27.08  | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | | CLOSE: (165) is inconsistent.
% 173.50/27.08  | | | | | | | | | | 
% 173.50/27.08  | | | | | | | | | End of split
% 173.50/27.08  | | | | | | | | | 
% 173.50/27.08  | | | | | | | | End of split
% 173.50/27.08  | | | | | | | | 
% 173.50/27.08  | | | | | | | End of split
% 173.50/27.08  | | | | | | | 
% 173.50/27.08  | | | | | | End of split
% 173.50/27.08  | | | | | | 
% 173.50/27.08  | | | | | End of split
% 173.50/27.08  | | | | | 
% 173.50/27.08  | | | | End of split
% 173.50/27.08  | | | | 
% 173.50/27.08  | | | End of split
% 173.50/27.08  | | | 
% 173.50/27.08  | | End of split
% 173.50/27.08  | | 
% 173.50/27.08  | Case 2:
% 173.50/27.08  | | 
% 173.50/27.08  | |   (166)   ~ (all_56_12 = e1)
% 173.50/27.08  | | 
% 173.50/27.08  | | REF_CLOSE: (2), (3), (5), (7), (8), (9), (12), (14), (15), (17), (20), (21),
% 173.50/27.08  | |            (22), (25), (27), (29), (30), (32), (33), (35), (36), (38), (40),
% 173.50/27.08  | |            (41), (49), (53), (59), (61), (62), (63), (65), (166) are
% 173.50/27.08  | |            inconsistent by sub-proof #686.
% 173.50/27.08  | | 
% 173.50/27.08  | End of split
% 173.50/27.08  | 
% 173.50/27.08  End of proof
% 173.50/27.08  
% 173.50/27.08  Sub-proof #442 shows that the following formulas are inconsistent:
% 173.50/27.08  ----------------------------------------------------------------
% 173.50/27.08    (1)  all_56_11 = all_52_14
% 173.50/27.08    (2)  all_56_11 = e2
% 173.50/27.08    (3)   ~ (all_52_14 = e2)
% 173.50/27.08  
% 173.50/27.08  Begin of proof
% 173.50/27.08  | 
% 173.50/27.08  | COMBINE_EQS: (1), (2) imply:
% 173.50/27.08  |   (4)  all_52_14 = e2
% 173.50/27.08  | 
% 173.50/27.08  | SIMP: (4) implies:
% 173.50/27.08  |   (5)  all_52_14 = e2
% 173.50/27.08  | 
% 173.50/27.08  | REDUCE: (3), (5) imply:
% 173.50/27.08  |   (6)  $false
% 173.50/27.08  | 
% 173.50/27.08  | CLOSE: (6) is inconsistent.
% 173.50/27.08  | 
% 173.50/27.08  End of proof
% 173.50/27.08  
% 173.50/27.08  Sub-proof #443 shows that the following formulas are inconsistent:
% 173.50/27.08  ----------------------------------------------------------------
% 173.50/27.08    (1)  all_56_2 = e2
% 173.50/27.08    (2)  all_56_2 = e0
% 173.50/27.08    (3)   ~ (e2 = e0)
% 173.50/27.08  
% 173.50/27.08  Begin of proof
% 173.50/27.08  | 
% 173.50/27.08  | COMBINE_EQS: (1), (2) imply:
% 173.50/27.08  |   (4)  e2 = e0
% 173.50/27.08  | 
% 173.50/27.08  | SIMP: (4) implies:
% 173.50/27.08  |   (5)  e2 = e0
% 173.50/27.08  | 
% 173.50/27.08  | REDUCE: (3), (5) imply:
% 173.50/27.08  |   (6)  $false
% 173.50/27.08  | 
% 173.50/27.08  | CLOSE: (6) is inconsistent.
% 173.50/27.08  | 
% 173.50/27.08  End of proof
% 173.50/27.08  
% 173.50/27.08  Sub-proof #444 shows that the following formulas are inconsistent:
% 173.50/27.08  ----------------------------------------------------------------
% 173.50/27.08    (1)  all_56_0 = e3
% 173.50/27.08    (2)   ~ (e3 = e2)
% 173.50/27.08    (3)  all_58_16 = e3
% 173.50/27.08    (4)  all_58_17 = e0
% 173.50/27.08    (5)  all_56_0 = e2
% 173.50/27.08    (6)  all_58_16 = e3 | all_58_17 = e2
% 173.50/27.08    (7)   ~ (e2 = e0)
% 173.50/27.08  
% 173.50/27.08  Begin of proof
% 173.50/27.08  | 
% 173.50/27.08  | COMBINE_EQS: (1), (5) imply:
% 173.50/27.08  |   (8)  e3 = e2
% 173.50/27.08  | 
% 173.50/27.08  | COMBINE_EQS: (3), (8) imply:
% 173.50/27.08  |   (9)  all_58_16 = e2
% 173.50/27.08  | 
% 173.50/27.08  | REF_CLOSE: (2), (4), (6), (7), (9) are inconsistent by sub-proof #705.
% 173.50/27.08  | 
% 173.50/27.08  End of proof
% 173.50/27.08  
% 173.50/27.08  Sub-proof #445 shows that the following formulas are inconsistent:
% 173.50/27.08  ----------------------------------------------------------------
% 173.50/27.08    (1)   ~ (all_52_12 = all_14_2)
% 173.50/27.08    (2)   ~ (all_34_0 = e2) |  ~ (all_34_2 = e3)
% 173.50/27.08    (3)  all_56_1 = all_52_4
% 173.50/27.08    (4)  all_56_12 = all_52_3
% 173.50/27.08    (5)   ~ (all_10_2 = e0)
% 173.50/27.08    (6)   ~ (all_52_8 = all_52_12)
% 173.50/27.08    (7)   ~ (all_52_3 = all_14_2)
% 173.50/27.08    (8)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 173.50/27.08    (9)  all_56_5 = all_52_9
% 173.50/27.08    (10)  op(all_6_2, e3) = all_6_1
% 173.50/27.08    (11)   ~ (all_52_12 = all_6_2)
% 173.50/27.08    (12)   ~ (all_14_2 = e1)
% 173.50/27.08    (13)  all_56_15 = all_14_2
% 173.50/27.08    (14)   ~ (all_52_11 = all_14_2)
% 173.50/27.08    (15)  all_56_14 = all_52_11
% 173.50/27.08    (16)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 173.50/27.08    (17)  all_56_8 = all_10_2
% 173.50/27.08    (18)  all_34_2 = all_10_2
% 173.50/27.08    (19)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 173.50/27.08    (20)  all_58_26 = all_10_2
% 173.50/27.08    (21)  all_58_31 = all_14_2
% 173.50/27.08    (22)   ~ (all_52_11 = all_10_2)
% 173.50/27.08    (23)   ~ (all_52_9 = all_52_13)
% 173.50/27.08    (24)   ~ (all_52_3 = all_6_2)
% 173.50/27.08    (25)   ~ (all_52_4 = e0)
% 173.50/27.08    (26)  all_58_18 = e0
% 173.50/27.08    (27)   ~ (all_52_1 = all_6_2)
% 173.50/27.08    (28)  all_56_11 = all_52_14
% 173.50/27.08    (29)  all_56_0 = all_6_2
% 173.50/27.08    (30)   ~ (all_52_9 = all_10_2)
% 173.50/27.08    (31)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 173.50/27.08    (32)  all_58_30 = all_52_14
% 173.50/27.08    (33)  all_58_27 = all_52_11
% 173.50/27.08    (34)  all_58_17 = all_52_1
% 173.50/27.08    (35)  all_58_19 = all_52_3
% 173.50/27.08    (36)  all_56_9 = all_52_12
% 173.50/27.08    (37)   ~ (e3 = e2)
% 173.50/27.08    (38)   ~ (e2 = e1)
% 173.50/27.08    (39)   ~ (all_52_6 = all_10_2)
% 173.50/27.08    (40)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 173.50/27.08    (41)   ~ (all_52_13 = all_14_2)
% 173.50/27.08    (42)  all_54_9 = all_52_6
% 173.50/27.08    (43)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 173.50/27.08    (44)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 173.50/27.08    (45)  all_58_16 = all_6_2
% 173.50/27.08    (46)  op(e0, e3) = all_52_3
% 173.50/27.08    (47)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 173.50/27.08    (48)   ~ (all_52_8 = all_52_9)
% 173.50/27.08    (49)  all_56_2 = all_52_1
% 173.50/27.08    (50)   ~ (e3 = e0)
% 173.50/27.08    (51)  all_58_29 = all_52_13
% 173.50/27.08    (52)   ~ (all_6_2 = e0)
% 173.50/27.08    (53)   ~ (all_52_6 = all_52_14)
% 173.50/27.08    (54)   ~ (all_52_8 = all_10_2)
% 173.50/27.08    (55)  all_56_4 = all_52_8
% 173.50/27.08    (56)  op(e0, all_10_2) = all_10_0
% 173.50/27.08    (57)   ~ (all_52_1 = all_52_13)
% 173.50/27.08    (58)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 173.50/27.08    (59)  all_54_10 = all_10_2
% 173.50/27.08    (60)  all_54_15 = all_14_2
% 173.50/27.08    (61)   ~ (all_52_8 = all_52_11)
% 173.50/27.08    (62)   ~ (all_52_8 = all_6_2)
% 173.50/27.08    (63)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 173.50/27.08    (64)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 173.50/27.08    (65)   ~ (all_52_1 = all_52_9)
% 173.50/27.08    (66)  all_56_6 = e0
% 173.50/27.08    (67)  all_56_13 = e0
% 173.50/27.08    (68)  all_58_24 = all_52_8
% 173.50/27.08    (69)   ~ (all_52_9 = all_52_11)
% 173.50/27.08    (70)  all_54_0 = all_6_2
% 173.50/27.08    (71)   ~ (all_52_14 = all_10_2)
% 173.50/27.08    (72)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 173.50/27.08    (73)   ~ (all_52_11 = e0)
% 173.50/27.08    (74)  all_58_25 = all_52_9
% 173.50/27.08    (75)  all_34_0 = all_10_0
% 173.50/27.08    (76)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 173.50/27.08    (77)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.50/27.08            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.50/27.08    (78)   ~ (all_6_1 = e0)
% 173.50/27.08    (79)   ~ (all_52_6 = e0)
% 173.50/27.08    (80)  op(e0, all_14_2) = all_58_15
% 173.50/27.08    (81)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 173.50/27.08    (82)  all_56_10 = all_52_13
% 173.50/27.08    (83)   ~ (all_52_3 = e0)
% 173.50/27.08    (84)   ~ (e2 = e0)
% 173.50/27.08    (85)   ~ (all_52_1 = all_52_3)
% 173.50/27.08    (86)   ~ (all_52_14 = e0)
% 173.50/27.08    (87)  all_58_28 = all_52_12
% 173.50/27.08    (88)  op(e1, all_52_6) = all_58_9
% 173.50/27.08    (89)   ~ (e1 = e0)
% 173.50/27.08    (90)  all_54_4 = all_52_1
% 173.50/27.08    (91)  op(e1, e3) = e0
% 173.50/27.08    (92)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 173.50/27.08  
% 173.50/27.08  Begin of proof
% 173.50/27.08  | 
% 173.50/27.08  | BETA: splitting (64) gives:
% 173.50/27.08  | 
% 173.50/27.08  | Case 1:
% 173.50/27.08  | | 
% 173.50/27.08  | |   (93)  all_56_0 = e0
% 173.50/27.08  | | 
% 173.50/27.08  | | COMBINE_EQS: (29), (93) imply:
% 173.50/27.08  | |   (94)  all_6_2 = e0
% 173.50/27.08  | | 
% 173.50/27.08  | | REDUCE: (52), (94) imply:
% 173.50/27.08  | |   (95)  $false
% 173.50/27.08  | | 
% 173.50/27.08  | | CLOSE: (95) is inconsistent.
% 173.50/27.08  | | 
% 173.50/27.08  | Case 2:
% 173.50/27.08  | | 
% 173.50/27.08  | |   (96)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 173.50/27.08  | | 
% 173.50/27.08  | | BETA: splitting (47) gives:
% 173.50/27.08  | | 
% 173.50/27.08  | | Case 1:
% 173.50/27.08  | | | 
% 173.50/27.08  | | |   (97)  all_56_4 = e0
% 173.50/27.08  | | | 
% 173.50/27.08  | | | COMBINE_EQS: (55), (97) imply:
% 173.50/27.08  | | |   (98)  all_52_8 = e0
% 173.50/27.08  | | | 
% 173.50/27.08  | | | COMBINE_EQS: (68), (98) imply:
% 173.50/27.08  | | |   (99)  all_58_24 = e0
% 173.50/27.08  | | | 
% 173.50/27.08  | | | REDUCE: (61), (98) imply:
% 173.50/27.08  | | |   (100)   ~ (all_52_11 = e0)
% 173.50/27.08  | | | 
% 173.50/27.08  | | | REDUCE: (6), (98) imply:
% 173.50/27.08  | | |   (101)   ~ (all_52_12 = e0)
% 173.50/27.08  | | | 
% 173.50/27.08  | | | SIMP: (101) implies:
% 173.50/27.08  | | |   (102)   ~ (all_52_12 = e0)
% 173.50/27.08  | | | 
% 173.50/27.08  | | | REDUCE: (62), (98) imply:
% 173.50/27.08  | | |   (103)   ~ (all_6_2 = e0)
% 173.50/27.08  | | | 
% 173.50/27.08  | | | REF_CLOSE: (2), (4), (7), (8), (11), (12), (13), (14), (15), (18), (19),
% 173.50/27.08  | | |            (20), (21), (22), (23), (24), (26), (27), (28), (29), (30),
% 173.50/27.08  | | |            (31), (32), (33), (34), (35), (36), (37), (40), (41), (44),
% 173.50/27.08  | | |            (45), (46), (49), (50), (51), (52), (56), (57), (58), (59),
% 173.50/27.08  | | |            (60), (63), (65), (66), (67), (70), (71), (72), (73), (74),
% 173.50/27.08  | | |            (75), (77), (80), (81), (82), (83), (85), (86), (87), (89),
% 173.50/27.08  | | |            (90), (92), (99), (102) are inconsistent by sub-proof #446.
% 173.50/27.08  | | | 
% 173.50/27.08  | | Case 2:
% 173.50/27.08  | | | 
% 173.50/27.08  | | |   (104)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 173.50/27.08  | | | 
% 173.50/27.09  | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 173.50/27.09  | | |            (15), (16), (17), (19), (20), (21), (22), (24), (25), (26),
% 173.50/27.09  | | |            (27), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 173.50/27.09  | | |            (37), (38), (39), (40), (42), (43), (44), (45), (48), (51),
% 173.50/27.09  | | |            (53), (54), (55), (57), (58), (59), (62), (67), (68), (69),
% 173.50/27.09  | | |            (70), (71), (73), (74), (76), (77), (78), (79), (82), (83),
% 173.50/27.09  | | |            (84), (87), (88), (89), (91), (92), (96), (104) are
% 173.50/27.09  | | |            inconsistent by sub-proof #842.
% 173.50/27.09  | | | 
% 173.50/27.09  | | End of split
% 173.50/27.09  | | 
% 173.50/27.09  | End of split
% 173.50/27.09  | 
% 173.50/27.09  End of proof
% 173.50/27.09  
% 173.50/27.09  Sub-proof #446 shows that the following formulas are inconsistent:
% 173.50/27.09  ----------------------------------------------------------------
% 173.50/27.09    (1)   ~ (all_34_0 = e2) |  ~ (all_34_2 = e3)
% 173.50/27.09    (2)  all_56_12 = all_52_3
% 173.50/27.09    (3)   ~ (all_52_3 = all_14_2)
% 173.50/27.09    (4)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 173.50/27.09    (5)   ~ (all_52_12 = all_6_2)
% 173.50/27.09    (6)   ~ (all_14_2 = e1)
% 173.50/27.09    (7)  all_56_15 = all_14_2
% 173.50/27.09    (8)   ~ (all_52_11 = all_14_2)
% 173.50/27.09    (9)  all_56_14 = all_52_11
% 173.50/27.09    (10)  all_34_2 = all_10_2
% 173.50/27.09    (11)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 173.50/27.09    (12)  all_58_26 = all_10_2
% 173.50/27.09    (13)  all_58_31 = all_14_2
% 173.50/27.09    (14)   ~ (all_52_11 = all_10_2)
% 173.50/27.09    (15)   ~ (all_52_9 = all_52_13)
% 173.50/27.09    (16)   ~ (all_52_3 = all_6_2)
% 173.50/27.09    (17)  all_58_18 = e0
% 173.50/27.09    (18)   ~ (all_52_1 = all_6_2)
% 173.50/27.09    (19)  all_56_11 = all_52_14
% 173.50/27.09    (20)  all_56_0 = all_6_2
% 173.50/27.09    (21)   ~ (all_52_9 = all_10_2)
% 173.50/27.09    (22)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 173.50/27.09    (23)  all_58_30 = all_52_14
% 173.50/27.09    (24)  all_58_27 = all_52_11
% 173.50/27.09    (25)  all_58_17 = all_52_1
% 173.50/27.09    (26)  all_58_19 = all_52_3
% 173.50/27.09    (27)  all_56_9 = all_52_12
% 173.50/27.09    (28)   ~ (e3 = e2)
% 173.50/27.09    (29)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 173.50/27.09    (30)   ~ (all_52_13 = all_14_2)
% 173.50/27.09    (31)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 173.50/27.09    (32)  all_58_16 = all_6_2
% 173.50/27.09    (33)  op(e0, e3) = all_52_3
% 173.50/27.09    (34)   ~ (all_52_12 = e0)
% 173.50/27.09    (35)  all_56_2 = all_52_1
% 173.50/27.09    (36)   ~ (e3 = e0)
% 173.50/27.09    (37)  all_58_29 = all_52_13
% 173.50/27.09    (38)   ~ (all_6_2 = e0)
% 173.50/27.09    (39)  op(e0, all_10_2) = all_10_0
% 173.50/27.09    (40)   ~ (all_52_1 = all_52_13)
% 173.50/27.09    (41)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 173.50/27.09    (42)  all_54_10 = all_10_2
% 173.50/27.09    (43)  all_54_15 = all_14_2
% 173.50/27.09    (44)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 173.50/27.09    (45)   ~ (all_52_1 = all_52_9)
% 173.50/27.09    (46)  all_56_6 = e0
% 173.50/27.09    (47)  all_56_13 = e0
% 173.50/27.09    (48)  all_54_0 = all_6_2
% 173.50/27.09    (49)   ~ (all_52_14 = all_10_2)
% 173.50/27.09    (50)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 173.50/27.09    (51)  all_58_24 = e0
% 173.50/27.09    (52)   ~ (all_52_11 = e0)
% 173.50/27.09    (53)  all_58_25 = all_52_9
% 173.50/27.09    (54)  all_34_0 = all_10_0
% 173.50/27.09    (55)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.50/27.09            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.50/27.09    (56)  op(e0, all_14_2) = all_58_15
% 173.50/27.09    (57)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 173.50/27.09    (58)  all_56_10 = all_52_13
% 173.50/27.09    (59)   ~ (all_52_3 = e0)
% 173.50/27.09    (60)   ~ (all_52_1 = all_52_3)
% 173.50/27.09    (61)   ~ (all_52_14 = e0)
% 173.50/27.09    (62)  all_58_28 = all_52_12
% 173.50/27.09    (63)   ~ (e1 = e0)
% 173.50/27.09    (64)  all_54_4 = all_52_1
% 173.50/27.09    (65)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 173.50/27.09  
% 173.50/27.09  Begin of proof
% 173.50/27.09  | 
% 173.50/27.09  | BETA: splitting (57) gives:
% 173.50/27.09  | 
% 173.50/27.09  | Case 1:
% 173.50/27.09  | | 
% 173.50/27.09  | |   (66)  all_56_9 = e0
% 173.50/27.09  | | 
% 173.50/27.09  | | REF_CLOSE: (27), (34), (66) are inconsistent by sub-proof #908.
% 173.50/27.09  | | 
% 173.50/27.09  | Case 2:
% 173.50/27.09  | | 
% 173.50/27.09  | |   (67)  all_56_10 = e0 | all_56_11 = e0
% 173.50/27.09  | | 
% 173.50/27.09  | | BETA: splitting (67) gives:
% 173.50/27.09  | | 
% 173.50/27.09  | | Case 1:
% 173.50/27.09  | | | 
% 173.50/27.09  | | |   (68)  all_56_10 = e0
% 173.50/27.09  | | | 
% 173.50/27.09  | | | COMBINE_EQS: (58), (68) imply:
% 173.50/27.09  | | |   (69)  all_52_13 = e0
% 173.50/27.09  | | | 
% 173.50/27.09  | | | SIMP: (69) implies:
% 173.50/27.09  | | |   (70)  all_52_13 = e0
% 173.50/27.09  | | | 
% 173.50/27.09  | | | COMBINE_EQS: (37), (70) imply:
% 173.50/27.09  | | |   (71)  all_58_29 = e0
% 173.50/27.09  | | | 
% 173.50/27.09  | | | REDUCE: (40), (70) imply:
% 173.50/27.09  | | |   (72)   ~ (all_52_1 = e0)
% 173.50/27.09  | | | 
% 173.50/27.09  | | | REDUCE: (15), (70) imply:
% 173.50/27.09  | | |   (73)   ~ (all_52_9 = e0)
% 173.50/27.09  | | | 
% 173.50/27.09  | | | REDUCE: (30), (70) imply:
% 173.50/27.09  | | |   (74)   ~ (all_14_2 = e0)
% 173.50/27.09  | | | 
% 173.50/27.09  | | | SIMP: (74) implies:
% 173.50/27.09  | | |   (75)   ~ (all_14_2 = e0)
% 173.50/27.09  | | | 
% 173.50/27.09  | | | BETA: splitting (65) gives:
% 173.50/27.09  | | | 
% 173.50/27.09  | | | Case 1:
% 173.50/27.09  | | | | 
% 173.50/27.09  | | | |   (76)  all_56_12 = e1
% 173.50/27.09  | | | | 
% 173.50/27.09  | | | | COMBINE_EQS: (2), (76) imply:
% 173.50/27.09  | | | |   (77)  all_52_3 = e1
% 173.50/27.09  | | | | 
% 173.50/27.09  | | | | SIMP: (77) implies:
% 173.50/27.09  | | | |   (78)  all_52_3 = e1
% 173.50/27.09  | | | | 
% 173.50/27.09  | | | | REDUCE: (60), (78) imply:
% 173.50/27.09  | | | |   (79)   ~ (all_52_1 = e1)
% 173.50/27.09  | | | | 
% 173.50/27.09  | | | | REDUCE: (16), (78) imply:
% 173.50/27.09  | | | |   (80)   ~ (all_6_2 = e1)
% 173.50/27.09  | | | | 
% 173.50/27.09  | | | | SIMP: (80) implies:
% 173.50/27.09  | | | |   (81)   ~ (all_6_2 = e1)
% 173.50/27.09  | | | | 
% 173.50/27.09  | | | | BETA: splitting (44) gives:
% 173.50/27.09  | | | | 
% 173.50/27.09  | | | | Case 1:
% 173.50/27.09  | | | | | 
% 173.50/27.09  | | | | |   (82)  all_54_4 = e0
% 173.50/27.09  | | | | | 
% 173.50/27.09  | | | | | REF_CLOSE: (64), (72), (82) are inconsistent by sub-proof #902.
% 173.50/27.09  | | | | | 
% 173.50/27.09  | | | | Case 2:
% 173.50/27.09  | | | | | 
% 173.50/27.09  | | | | |   (83)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 173.50/27.09  | | | | | 
% 173.50/27.09  | | | | | REF_CLOSE: (4), (5), (11), (12), (13), (17), (18), (20), (22), (23),
% 173.50/27.09  | | | | |            (24), (25), (26), (28), (29), (31), (32), (38), (45), (48),
% 173.50/27.09  | | | | |            (49), (51), (52), (53), (59), (62), (63), (64), (71), (72),
% 173.50/27.09  | | | | |            (75), (79), (81), (83) are inconsistent by sub-proof #867.
% 173.50/27.09  | | | | | 
% 173.50/27.09  | | | | End of split
% 173.50/27.09  | | | | 
% 173.50/27.09  | | | Case 2:
% 173.50/27.09  | | | | 
% 173.50/27.09  | | | |   (84)  all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 173.50/27.09  | | | | 
% 173.50/27.09  | | | | BETA: splitting (84) gives:
% 173.50/27.09  | | | | 
% 173.50/27.09  | | | | Case 1:
% 173.50/27.09  | | | | | 
% 173.50/27.09  | | | | |   (85)  all_56_13 = e1
% 173.50/27.09  | | | | | 
% 173.50/27.09  | | | | | COMBINE_EQS: (47), (85) imply:
% 173.50/27.09  | | | | |   (86)  e1 = e0
% 173.50/27.09  | | | | | 
% 173.50/27.09  | | | | | REDUCE: (63), (86) imply:
% 173.50/27.09  | | | | |   (87)  $false
% 173.50/27.09  | | | | | 
% 173.50/27.09  | | | | | CLOSE: (87) is inconsistent.
% 173.50/27.09  | | | | | 
% 173.50/27.09  | | | | Case 2:
% 173.50/27.09  | | | | | 
% 173.50/27.09  | | | | |   (88)  all_56_14 = e1 | all_56_15 = e1
% 173.50/27.09  | | | | | 
% 173.50/27.09  | | | | | BETA: splitting (88) gives:
% 173.50/27.09  | | | | | 
% 173.50/27.09  | | | | | Case 1:
% 173.50/27.09  | | | | | | 
% 173.50/27.09  | | | | | |   (89)  all_56_14 = e1
% 173.50/27.09  | | | | | | 
% 173.50/27.09  | | | | | | COMBINE_EQS: (9), (89) imply:
% 173.50/27.09  | | | | | |   (90)  all_52_11 = e1
% 173.50/27.09  | | | | | | 
% 173.50/27.09  | | | | | | SIMP: (90) implies:
% 173.50/27.09  | | | | | |   (91)  all_52_11 = e1
% 173.50/27.09  | | | | | | 
% 173.50/27.09  | | | | | | COMBINE_EQS: (24), (91) imply:
% 173.50/27.09  | | | | | |   (92)  all_58_27 = e1
% 173.50/27.09  | | | | | | 
% 173.50/27.09  | | | | | | REDUCE: (8), (91) imply:
% 173.50/27.09  | | | | | |   (93)   ~ (all_14_2 = e1)
% 173.50/27.09  | | | | | | 
% 173.50/27.09  | | | | | | REDUCE: (14), (91) imply:
% 173.50/27.09  | | | | | |   (94)   ~ (all_10_2 = e1)
% 173.50/27.09  | | | | | | 
% 173.50/27.09  | | | | | | SIMP: (94) implies:
% 173.50/27.09  | | | | | |   (95)   ~ (all_10_2 = e1)
% 173.50/27.09  | | | | | | 
% 173.50/27.09  | | | | | | BETA: splitting (22) gives:
% 173.50/27.09  | | | | | | 
% 173.50/27.09  | | | | | | Case 1:
% 173.50/27.09  | | | | | | | 
% 173.50/27.09  | | | | | | |   (96)  all_58_27 = e0
% 173.50/27.09  | | | | | | | 
% 173.50/27.09  | | | | | | | REF_CLOSE: (6), (7), (63), (88), (89), (92), (96) are inconsistent
% 173.50/27.09  | | | | | | |            by sub-proof #448.
% 173.50/27.09  | | | | | | | 
% 173.50/27.09  | | | | | | Case 2:
% 173.50/27.09  | | | | | | | 
% 173.50/27.09  | | | | | | |   (97)   ~ (all_58_27 = e0)
% 173.50/27.09  | | | | | | |   (98)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 173.50/27.09  | | | | | | | 
% 173.50/27.09  | | | | | | | BETA: splitting (98) gives:
% 173.50/27.09  | | | | | | | 
% 173.50/27.09  | | | | | | | Case 1:
% 173.50/27.09  | | | | | | | | 
% 173.50/27.09  | | | | | | | |   (99)  all_58_26 = e1
% 173.50/27.09  | | | | | | | | 
% 173.50/27.09  | | | | | | | | REF_CLOSE: (12), (95), (99) are inconsistent by sub-proof #968.
% 173.50/27.09  | | | | | | | | 
% 173.50/27.09  | | | | | | | Case 2:
% 173.50/27.09  | | | | | | | | 
% 173.50/27.09  | | | | | | | |   (100)   ~ (all_58_26 = e1)
% 173.50/27.09  | | | | | | | |   (101)  all_58_24 = e3 | all_58_25 = e2
% 173.50/27.09  | | | | | | | | 
% 173.50/27.09  | | | | | | | | BETA: splitting (101) gives:
% 173.50/27.09  | | | | | | | | 
% 173.50/27.09  | | | | | | | | Case 1:
% 173.50/27.09  | | | | | | | | | 
% 173.50/27.09  | | | | | | | | |   (102)  all_58_25 = e2
% 173.50/27.09  | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | COMBINE_EQS: (53), (102) imply:
% 173.50/27.09  | | | | | | | | |   (103)  all_52_9 = e2
% 173.50/27.09  | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | SIMP: (103) implies:
% 173.50/27.09  | | | | | | | | |   (104)  all_52_9 = e2
% 173.50/27.09  | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | REDUCE: (45), (104) imply:
% 173.50/27.09  | | | | | | | | |   (105)   ~ (all_52_1 = e2)
% 173.50/27.09  | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | REDUCE: (21), (104) imply:
% 173.50/27.09  | | | | | | | | |   (106)   ~ (all_10_2 = e2)
% 173.50/27.09  | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | SIMP: (106) implies:
% 173.50/27.09  | | | | | | | | |   (107)   ~ (all_10_2 = e2)
% 173.50/27.09  | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | REDUCE: (73), (104) imply:
% 173.50/27.09  | | | | | | | | |   (108)   ~ (e2 = e0)
% 173.50/27.09  | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | BETA: splitting (4) gives:
% 173.50/27.09  | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | Case 1:
% 173.50/27.09  | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | |   (109)  all_58_19 = e0
% 173.50/27.09  | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | COMBINE_EQS: (26), (109) imply:
% 173.50/27.09  | | | | | | | | | |   (110)  all_52_3 = e0
% 173.50/27.09  | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | REDUCE: (59), (110) imply:
% 173.50/27.09  | | | | | | | | | |   (111)  $false
% 173.50/27.09  | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | CLOSE: (111) is inconsistent.
% 173.50/27.09  | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | Case 2:
% 173.50/27.09  | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | |   (112)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 173.50/27.09  | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | BETA: splitting (41) gives:
% 173.50/27.09  | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | Case 1:
% 173.50/27.09  | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | |   (113)  all_54_10 = e1
% 173.50/27.09  | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | COMBINE_EQS: (42), (113) imply:
% 173.50/27.09  | | | | | | | | | | |   (114)  all_10_2 = e1
% 173.50/27.09  | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | REDUCE: (95), (114) imply:
% 173.50/27.09  | | | | | | | | | | |   (115)  $false
% 173.50/27.09  | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | CLOSE: (115) is inconsistent.
% 173.50/27.09  | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | Case 2:
% 173.50/27.09  | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | |   (116)  all_54_10 = e3 | all_54_10 = e2
% 173.50/27.09  | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | BETA: splitting (116) gives:
% 173.50/27.09  | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | Case 1:
% 173.50/27.09  | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | |   (117)  all_54_10 = e2
% 173.50/27.09  | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | COMBINE_EQS: (42), (117) imply:
% 173.50/27.09  | | | | | | | | | | | |   (118)  all_10_2 = e2
% 173.50/27.09  | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | REDUCE: (107), (118) imply:
% 173.50/27.09  | | | | | | | | | | | |   (119)  $false
% 173.50/27.09  | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | CLOSE: (119) is inconsistent.
% 173.50/27.09  | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | Case 2:
% 173.50/27.09  | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | |   (120)  all_54_10 = e3
% 173.50/27.09  | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | COMBINE_EQS: (42), (120) imply:
% 173.50/27.09  | | | | | | | | | | | |   (121)  all_10_2 = e3
% 173.50/27.09  | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | COMBINE_EQS: (10), (121) imply:
% 173.50/27.09  | | | | | | | | | | | |   (122)  all_34_2 = e3
% 173.50/27.09  | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | REDUCE: (39), (121) imply:
% 173.50/27.09  | | | | | | | | | | | |   (123)  op(e0, e3) = all_10_0
% 173.50/27.09  | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | BETA: splitting (1) gives:
% 173.50/27.09  | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | Case 1:
% 173.50/27.09  | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | |   (124)   ~ (all_34_0 = e2)
% 173.50/27.09  | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | REDUCE: (54), (124) imply:
% 173.50/27.09  | | | | | | | | | | | | |   (125)   ~ (all_10_0 = e2)
% 173.50/27.09  | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | BETA: splitting (112) gives:
% 173.50/27.09  | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | Case 1:
% 173.50/27.09  | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | |   (126)  all_58_18 = e1
% 173.50/27.09  | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | COMBINE_EQS: (17), (126) imply:
% 173.50/27.09  | | | | | | | | | | | | | |   (127)  e1 = e0
% 173.50/27.09  | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (63), (88), (89), (127) are inconsistent
% 173.50/27.09  | | | | | | | | | | | | | |            by sub-proof #447.
% 173.50/27.09  | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | Case 2:
% 173.50/27.09  | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | |   (128)   ~ (all_58_18 = e1)
% 173.50/27.09  | | | | | | | | | | | | | |   (129)  all_58_16 = e3 | all_58_17 = e2
% 173.50/27.09  | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | REDUCE: (17), (128) imply:
% 173.50/27.09  | | | | | | | | | | | | | |   (130)   ~ (e1 = e0)
% 173.50/27.09  | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | BETA: splitting (129) gives:
% 173.50/27.09  | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | Case 1:
% 173.50/27.09  | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | |   (131)  all_58_17 = e2
% 173.50/27.09  | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | COMBINE_EQS: (25), (131) imply:
% 173.50/27.09  | | | | | | | | | | | | | | |   (132)  all_52_1 = e2
% 173.50/27.09  | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | REDUCE: (105), (132) imply:
% 173.50/27.09  | | | | | | | | | | | | | | |   (133)  $false
% 173.50/27.09  | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | CLOSE: (133) is inconsistent.
% 173.50/27.09  | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | Case 2:
% 173.50/27.09  | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | |   (134)  all_58_16 = e3
% 173.50/27.09  | | | | | | | | | | | | | | |   (135)   ~ (all_58_17 = e2)
% 173.50/27.09  | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | COMBINE_EQS: (32), (134) imply:
% 173.50/27.09  | | | | | | | | | | | | | | |   (136)  all_6_2 = e3
% 173.50/27.09  | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | COMBINE_EQS: (20), (136) imply:
% 173.50/27.09  | | | | | | | | | | | | | | |   (137)  all_56_0 = e3
% 173.50/27.09  | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | BETA: splitting (31) gives:
% 173.50/27.09  | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | Case 1:
% 173.50/27.09  | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | |   (138)  all_56_0 = e2
% 173.50/27.09  | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | COMBINE_EQS: (137), (138) imply:
% 173.50/27.09  | | | | | | | | | | | | | | | |   (139)  e3 = e2
% 173.50/27.09  | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | COMBINE_EQS: (134), (139) imply:
% 173.50/27.09  | | | | | | | | | | | | | | | |   (140)  all_58_16 = e2
% 173.50/27.09  | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | REF_CLOSE: (17), (25), (28), (63), (105), (112), (140) are
% 173.50/27.09  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #963.
% 173.50/27.09  | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | Case 2:
% 173.50/27.09  | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | |   (141)  all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 173.50/27.09  | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | BETA: splitting (141) gives:
% 173.50/27.09  | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.09  | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | |   (142)  all_56_2 = e2
% 173.50/27.09  | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | COMBINE_EQS: (35), (142) imply:
% 173.50/27.09  | | | | | | | | | | | | | | | | |   (143)  all_52_1 = e2
% 173.50/27.09  | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | REDUCE: (105), (143) imply:
% 173.50/27.09  | | | | | | | | | | | | | | | | |   (144)  $false
% 173.50/27.09  | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | CLOSE: (144) is inconsistent.
% 173.50/27.09  | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.09  | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | |   (145)  all_56_6 = e2 | all_56_12 = e2
% 173.50/27.09  | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | BETA: splitting (145) gives:
% 173.50/27.09  | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.09  | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | |   (146)  all_56_6 = e2
% 173.50/27.09  | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (108), (146) are inconsistent by sub-proof
% 173.50/27.09  | | | | | | | | | | | | | | | | | |            #954.
% 173.50/27.09  | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.09  | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | |   (147)  all_56_12 = e2
% 173.50/27.09  | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2), (147) imply:
% 173.50/27.09  | | | | | | | | | | | | | | | | | |   (148)  all_52_3 = e2
% 173.50/27.09  | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | | SIMP: (148) implies:
% 173.50/27.09  | | | | | | | | | | | | | | | | | |   (149)  all_52_3 = e2
% 173.50/27.09  | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | | REDUCE: (3), (149) imply:
% 173.50/27.09  | | | | | | | | | | | | | | | | | |   (150)   ~ (all_14_2 = e2)
% 173.50/27.09  | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | | SIMP: (150) implies:
% 173.50/27.09  | | | | | | | | | | | | | | | | | |   (151)   ~ (all_14_2 = e2)
% 173.50/27.09  | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | | REDUCE: (33), (149) imply:
% 173.50/27.09  | | | | | | | | | | | | | | | | | |   (152)  op(e0, e3) = e2
% 173.50/27.09  | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | | BETA: splitting (50) gives:
% 173.50/27.09  | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | | |   (153)  all_54_15 = e1
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (43), (153) are inconsistent by sub-proof
% 173.50/27.09  | | | | | | | | | | | | | | | | | | |            #752.
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | | |   (154)  all_54_15 = e3 | all_54_15 = e2
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | BETA: splitting (154) gives:
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | |   (155)  all_54_15 = e2
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (151), (155) are inconsistent by sub-proof
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | |            #615.
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | |   (156)  all_54_15 = e3
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (43), (156) imply:
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | |   (157)  all_14_2 = e3
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | | SIMP: (157) implies:
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | |   (158)  all_14_2 = e3
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (158) imply:
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | |   (159)  op(e0, e3) = all_58_15
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (55) with all_10_0, all_58_15, e3,
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | |              e0, simplifying with (123), (159) gives:
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | |   (160)  all_58_15 = all_10_0
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (55) with e2, all_58_15, e3, e0,
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | |              simplifying with (152), (159) gives:
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | |   (161)  all_58_15 = e2
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (160), (161) imply:
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | |   (162)  all_10_0 = e2
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (162) imply:
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | |   (163)  $false
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | | CLOSE: (163) is inconsistent.
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.09  | | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.09  | | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | | End of split
% 173.50/27.09  | | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | | End of split
% 173.50/27.09  | | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | | End of split
% 173.50/27.09  | | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | | End of split
% 173.50/27.09  | | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | End of split
% 173.50/27.09  | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | Case 2:
% 173.50/27.09  | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | |   (164)   ~ (all_34_2 = e3)
% 173.50/27.09  | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | REDUCE: (122), (164) imply:
% 173.50/27.09  | | | | | | | | | | | | |   (165)  $false
% 173.50/27.09  | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | | CLOSE: (165) is inconsistent.
% 173.50/27.09  | | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | | End of split
% 173.50/27.09  | | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | | End of split
% 173.50/27.09  | | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | | End of split
% 173.50/27.09  | | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | End of split
% 173.50/27.09  | | | | | | | | | 
% 173.50/27.09  | | | | | | | | Case 2:
% 173.50/27.09  | | | | | | | | | 
% 173.50/27.09  | | | | | | | | |   (166)  all_58_24 = e3
% 173.50/27.09  | | | | | | | | | 
% 173.50/27.09  | | | | | | | | | REF_CLOSE: (36), (51), (166) are inconsistent by sub-proof
% 173.50/27.09  | | | | | | | | |            #926.
% 173.50/27.09  | | | | | | | | | 
% 173.50/27.09  | | | | | | | | End of split
% 173.50/27.09  | | | | | | | | 
% 173.50/27.09  | | | | | | | End of split
% 173.50/27.09  | | | | | | | 
% 173.50/27.09  | | | | | | End of split
% 173.50/27.09  | | | | | | 
% 173.50/27.09  | | | | | Case 2:
% 173.50/27.09  | | | | | | 
% 173.50/27.09  | | | | | |   (167)  all_56_15 = e1
% 173.50/27.09  | | | | | | 
% 173.50/27.09  | | | | | | REF_CLOSE: (6), (7), (167) are inconsistent by sub-proof #876.
% 173.50/27.09  | | | | | | 
% 173.50/27.09  | | | | | End of split
% 173.50/27.09  | | | | | 
% 173.50/27.09  | | | | End of split
% 173.50/27.09  | | | | 
% 173.50/27.09  | | | End of split
% 173.50/27.09  | | | 
% 173.50/27.09  | | Case 2:
% 173.50/27.09  | | | 
% 173.50/27.09  | | |   (168)  all_56_11 = e0
% 173.50/27.09  | | | 
% 173.50/27.09  | | | REF_CLOSE: (19), (61), (168) are inconsistent by sub-proof #873.
% 173.50/27.09  | | | 
% 173.50/27.09  | | End of split
% 173.50/27.09  | | 
% 173.50/27.09  | End of split
% 173.50/27.09  | 
% 173.50/27.09  End of proof
% 173.50/27.09  
% 173.50/27.09  Sub-proof #447 shows that the following formulas are inconsistent:
% 173.50/27.09  ----------------------------------------------------------------
% 173.50/27.09    (1)  e1 = e0
% 173.50/27.09    (2)   ~ (all_14_2 = e1)
% 173.50/27.09    (3)  all_56_15 = all_14_2
% 173.50/27.09    (4)  all_56_14 = e1 | all_56_15 = e1
% 173.50/27.09    (5)  all_56_14 = e1
% 173.50/27.09    (6)   ~ (e1 = e0)
% 173.50/27.09  
% 173.50/27.09  Begin of proof
% 173.50/27.09  | 
% 173.50/27.09  | SIMP: (1) implies:
% 173.50/27.09  |   (7)  e1 = e0
% 173.50/27.09  | 
% 173.50/27.09  | COMBINE_EQS: (5), (7) imply:
% 173.50/27.09  |   (8)  all_56_14 = e0
% 173.50/27.09  | 
% 173.50/27.09  | REF_CLOSE: (2), (3), (4), (6), (8) are inconsistent by sub-proof #875.
% 173.50/27.09  | 
% 173.50/27.09  End of proof
% 173.50/27.09  
% 173.50/27.09  Sub-proof #448 shows that the following formulas are inconsistent:
% 173.50/27.09  ----------------------------------------------------------------
% 173.50/27.09    (1)   ~ (all_14_2 = e1)
% 173.50/27.09    (2)  all_56_15 = all_14_2
% 173.50/27.09    (3)  all_56_14 = e1 | all_56_15 = e1
% 173.50/27.09    (4)  all_56_14 = e1
% 173.50/27.09    (5)  all_58_27 = e1
% 173.50/27.09    (6)  all_58_27 = e0
% 173.50/27.09    (7)   ~ (e1 = e0)
% 173.50/27.09  
% 173.50/27.09  Begin of proof
% 173.50/27.09  | 
% 173.50/27.09  | COMBINE_EQS: (5), (6) imply:
% 173.50/27.09  |   (8)  e1 = e0
% 173.50/27.09  | 
% 173.50/27.09  | COMBINE_EQS: (4), (8) imply:
% 173.50/27.09  |   (9)  all_56_14 = e0
% 173.50/27.09  | 
% 173.50/27.09  | REF_CLOSE: (1), (2), (3), (7), (9) are inconsistent by sub-proof #875.
% 173.50/27.09  | 
% 173.50/27.09  End of proof
% 173.50/27.09  
% 173.50/27.09  Sub-proof #449 shows that the following formulas are inconsistent:
% 173.50/27.09  ----------------------------------------------------------------
% 173.50/27.09    (1)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 173.50/27.09    (2)  all_56_12 = all_52_3
% 173.50/27.09    (3)  op(e3, all_52_12) = all_58_3
% 173.50/27.09    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 173.50/27.09    (5)   ~ (all_52_8 = all_52_12)
% 173.50/27.09    (6)   ~ (e3 = e1)
% 173.50/27.09    (7)  all_58_23 = all_52_7
% 173.50/27.09    (8)   ~ (all_52_2 = all_6_2)
% 173.50/27.09    (9)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 173.50/27.09    (10)  all_56_5 = all_52_9
% 173.50/27.09    (11)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 173.50/27.09    (12)   ~ (all_52_12 = all_6_2)
% 173.50/27.09    (13)   ~ (all_52_6 = all_4_2)
% 173.50/27.09    (14)   ~ (all_52_9 = all_4_2)
% 173.50/27.09    (15)  all_54_6 = all_52_9
% 173.50/27.09    (16)  all_56_14 = all_52_11
% 173.50/27.09    (17)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 173.50/27.09    (18)   ~ (all_52_13 = all_4_2)
% 173.50/27.09    (19)  all_56_8 = all_10_2
% 173.50/27.09    (20)  op(e2, all_52_1) = all_58_4
% 173.50/27.09    (21)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 173.50/27.09    (22)  all_58_26 = all_10_2
% 173.50/27.09    (23)  all_58_31 = all_14_2
% 173.50/27.09    (24)   ~ (all_52_9 = all_52_13)
% 173.50/27.09    (25)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 173.50/27.09    (26)   ~ (all_52_1 = all_6_2)
% 173.50/27.09    (27)  all_56_11 = all_52_14
% 173.50/27.09    (28)  op(e2, e1) = all_52_9
% 173.50/27.09    (29)   ~ (all_4_1 = e0)
% 173.50/27.09    (30)  all_56_0 = all_6_2
% 173.50/27.09    (31)   ~ (all_52_9 = all_10_2)
% 173.50/27.09    (32)  all_58_30 = all_52_14
% 173.50/27.09    (33)  all_58_27 = all_52_11
% 173.50/27.09    (34)  op(all_4_2, e2) = all_4_1
% 173.50/27.09    (35)  all_58_17 = all_52_1
% 173.50/27.09    (36)  all_58_20 = e0
% 173.50/27.09    (37)  all_58_19 = all_52_3
% 173.50/27.09    (38)  all_56_9 = all_52_12
% 173.50/27.09    (39)   ~ (all_52_2 = all_52_6)
% 173.50/27.09    (40)   ~ (e3 = e2)
% 173.50/27.09    (41)   ~ (e2 = e1)
% 173.50/27.09    (42)   ~ (all_52_6 = all_10_2)
% 173.50/27.09    (43)  all_56_1 = e0
% 173.50/27.09    (44)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 173.50/27.09    (45)   ~ (all_52_13 = all_14_2)
% 173.50/27.09    (46)   ~ (all_52_1 = all_4_2)
% 173.50/27.09    (47)  all_58_18 = all_52_2
% 173.50/27.09    (48)  all_58_16 = all_6_2
% 173.50/27.09    (49)  all_56_13 = all_52_7
% 173.50/27.09    (50)   ~ (all_52_12 = e0)
% 173.50/27.09    (51)   ~ (all_52_8 = all_52_9)
% 173.50/27.09    (52)  all_56_2 = all_52_1
% 173.50/27.09    (53)   ~ (e3 = e0)
% 173.50/27.09    (54)  all_58_29 = all_52_13
% 173.50/27.09    (55)   ~ (all_52_1 = all_52_2)
% 173.50/27.09    (56)  op(e3, e2) = e0
% 173.50/27.09    (57)   ~ (all_6_2 = e0)
% 173.50/27.09    (58)   ~ (all_52_6 = all_52_14)
% 173.50/27.09    (59)  all_56_4 = all_52_8
% 173.50/27.09    (60)   ~ (all_52_1 = all_52_13)
% 173.50/27.09    (61)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 173.50/27.09    (62)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 173.50/27.09    (63)  all_54_10 = all_10_2
% 173.50/27.09    (64)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 173.50/27.09    (65)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 173.50/27.09    (66)  op(all_10_2, e1) = e0
% 173.50/27.09    (67)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 173.50/27.09    (68)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 173.50/27.09    (69)   ~ (all_52_8 = all_6_2)
% 173.50/27.09    (70)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 173.50/27.09    (71)  all_56_6 = all_52_2
% 173.50/27.09    (72)   ~ (all_52_1 = all_52_9)
% 173.50/27.09    (73)   ~ (all_52_7 = e0)
% 173.50/27.09    (74)  all_58_24 = all_52_8
% 173.50/27.09    (75)   ~ (all_52_12 = all_52_14)
% 173.50/27.09    (76)  all_58_22 = all_52_6
% 173.50/27.09    (77)  all_56_3 = all_4_2
% 173.50/27.09    (78)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 173.50/27.09    (79)  all_54_0 = all_6_2
% 173.50/27.09    (80)   ~ (all_52_14 = all_10_2)
% 173.50/27.09    (81)   ~ (all_52_2 = all_52_3)
% 173.50/27.09    (82)  all_58_25 = all_52_9
% 173.50/27.09    (83)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.50/27.09            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.50/27.09    (84)   ~ (all_52_2 = all_52_14)
% 173.50/27.09    (85)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 173.50/27.09    (86)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 173.50/27.09    (87)  all_58_21 = all_4_2
% 173.50/27.09    (88)  all_56_10 = all_52_13
% 173.50/27.09    (89)   ~ (all_52_3 = e0)
% 173.50/27.09    (90)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 173.50/27.09    (91)   ~ (e2 = e0)
% 173.50/27.09    (92)   ~ (all_52_14 = e0)
% 173.50/27.09    (93)  all_58_28 = all_52_12
% 173.50/27.09    (94)   ~ (e1 = e0)
% 173.50/27.09    (95)  all_54_4 = all_52_1
% 173.50/27.09    (96)  all_56_7 = all_52_6
% 173.50/27.09    (97)   ~ (all_52_8 = e0)
% 173.50/27.09    (98)  all_54_5 = all_4_2
% 173.50/27.09    (99)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 173.50/27.09          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 173.50/27.09          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.50/27.09          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 173.50/27.09          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.50/27.09          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 173.50/27.09          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.50/27.09          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 173.50/27.09          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 173.50/27.09          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 173.50/27.09            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 173.50/27.09            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 173.50/27.09            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 173.50/27.09            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 173.50/27.09            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 173.50/27.09            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 173.50/27.09            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 173.50/27.09            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 173.50/27.09            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 173.50/27.09            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 173.50/27.09            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 173.50/27.09            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 173.50/27.09            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 173.50/27.09            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 173.50/27.09            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 173.50/27.09            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 173.50/27.09          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 173.50/27.09          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.50/27.09          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 173.50/27.09            all_58_30 = e0 & e1 = e0)
% 173.50/27.09    (100)  all_56_0 = e3 | all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3
% 173.50/27.09    (101)   ~ (all_52_12 = all_52_13)
% 173.50/27.09  
% 173.50/27.09  Begin of proof
% 173.50/27.09  | 
% 173.50/27.09  | BETA: splitting (1) gives:
% 173.50/27.09  | 
% 173.50/27.09  | Case 1:
% 173.50/27.09  | | 
% 173.50/27.09  | |   (102)  all_56_12 = e0
% 173.50/27.09  | | 
% 173.50/27.09  | | REF_CLOSE: (2), (89), (102) are inconsistent by sub-proof #919.
% 173.50/27.09  | | 
% 173.50/27.09  | Case 2:
% 173.50/27.09  | | 
% 173.50/27.09  | |   (103)   ~ (all_56_12 = e0)
% 173.50/27.09  | |   (104)  all_56_13 = e0 | all_56_14 = e0
% 173.50/27.09  | | 
% 173.50/27.09  | | BETA: splitting (85) gives:
% 173.50/27.09  | | 
% 173.50/27.09  | | Case 1:
% 173.50/27.09  | | | 
% 173.50/27.09  | | |   (105)  all_56_9 = e0
% 173.50/27.09  | | | 
% 173.50/27.10  | | | REF_CLOSE: (38), (50), (105) are inconsistent by sub-proof #908.
% 173.50/27.10  | | | 
% 173.50/27.10  | | Case 2:
% 173.50/27.10  | | | 
% 173.50/27.10  | | |   (106)  all_56_10 = e0 | all_56_11 = e0
% 173.50/27.10  | | | 
% 173.50/27.10  | | | BETA: splitting (106) gives:
% 173.50/27.10  | | | 
% 173.50/27.10  | | | Case 1:
% 173.50/27.10  | | | | 
% 173.50/27.10  | | | |   (107)  all_56_10 = e0
% 173.50/27.10  | | | | 
% 173.50/27.10  | | | | COMBINE_EQS: (88), (107) imply:
% 173.50/27.10  | | | |   (108)  all_52_13 = e0
% 173.50/27.10  | | | | 
% 173.50/27.10  | | | | SIMP: (108) implies:
% 173.50/27.10  | | | |   (109)  all_52_13 = e0
% 173.50/27.10  | | | | 
% 173.50/27.10  | | | | REDUCE: (24), (109) imply:
% 173.50/27.10  | | | |   (110)   ~ (all_52_9 = e0)
% 173.50/27.10  | | | | 
% 173.50/27.10  | | | | REDUCE: (18), (109) imply:
% 173.50/27.10  | | | |   (111)   ~ (all_4_2 = e0)
% 173.50/27.10  | | | | 
% 173.50/27.10  | | | | SIMP: (111) implies:
% 173.50/27.10  | | | |   (112)   ~ (all_4_2 = e0)
% 173.50/27.10  | | | | 
% 173.50/27.10  | | | | BETA: splitting (104) gives:
% 173.50/27.10  | | | | 
% 173.50/27.10  | | | | Case 1:
% 173.50/27.10  | | | | | 
% 173.50/27.10  | | | | |   (113)  all_56_13 = e0
% 173.50/27.10  | | | | | 
% 173.50/27.10  | | | | | REF_CLOSE: (49), (73), (113) are inconsistent by sub-proof #942.
% 173.50/27.10  | | | | | 
% 173.50/27.10  | | | | Case 2:
% 173.50/27.10  | | | | | 
% 173.50/27.10  | | | | |   (114)  all_56_14 = e0
% 173.50/27.10  | | | | | 
% 173.50/27.10  | | | | | COMBINE_EQS: (16), (114) imply:
% 173.50/27.10  | | | | |   (115)  all_52_11 = e0
% 173.50/27.10  | | | | | 
% 173.50/27.10  | | | | | SIMP: (115) implies:
% 173.50/27.10  | | | | |   (116)  all_52_11 = e0
% 173.50/27.10  | | | | | 
% 173.50/27.10  | | | | | COMBINE_EQS: (33), (116) imply:
% 173.50/27.10  | | | | |   (117)  all_58_27 = e0
% 173.50/27.10  | | | | | 
% 173.50/27.10  | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 173.50/27.10  | | | | |            (13), (14), (15), (17), (19), (20), (21), (22), (23), (24),
% 173.50/27.10  | | | | |            (25), (26), (27), (28), (29), (30), (31), (32), (34), (35),
% 173.50/27.10  | | | | |            (36), (37), (38), (39), (40), (41), (42), (43), (44), (45),
% 173.50/27.10  | | | | |            (46), (47), (48), (51), (52), (53), (54), (55), (56), (57),
% 173.50/27.10  | | | | |            (58), (59), (60), (61), (62), (63), (64), (65), (66), (67),
% 173.50/27.10  | | | | |            (68), (69), (70), (71), (72), (73), (74), (75), (76), (77),
% 173.50/27.10  | | | | |            (78), (79), (80), (81), (82), (83), (84), (86), (87), (88),
% 173.50/27.10  | | | | |            (89), (90), (91), (93), (94), (95), (96), (97), (98), (99),
% 173.50/27.10  | | | | |            (100), (101), (110), (112), (114), (117) are inconsistent
% 173.50/27.10  | | | | |            by sub-proof #450.
% 173.50/27.10  | | | | | 
% 173.50/27.10  | | | | End of split
% 173.50/27.10  | | | | 
% 173.50/27.10  | | | Case 2:
% 173.50/27.10  | | | | 
% 173.50/27.10  | | | |   (118)  all_56_11 = e0
% 173.50/27.10  | | | | 
% 173.50/27.10  | | | | REF_CLOSE: (27), (92), (118) are inconsistent by sub-proof #873.
% 173.50/27.10  | | | | 
% 173.50/27.10  | | | End of split
% 173.50/27.10  | | | 
% 173.50/27.10  | | End of split
% 173.50/27.10  | | 
% 173.50/27.10  | End of split
% 173.50/27.10  | 
% 173.50/27.10  End of proof
% 173.50/27.10  
% 173.50/27.10  Sub-proof #450 shows that the following formulas are inconsistent:
% 173.50/27.10  ----------------------------------------------------------------
% 173.50/27.10    (1)  all_56_12 = all_52_3
% 173.50/27.10    (2)  op(e3, all_52_12) = all_58_3
% 173.50/27.10    (3)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 173.50/27.10    (4)   ~ (all_52_8 = all_52_12)
% 173.50/27.10    (5)   ~ (e3 = e1)
% 173.50/27.10    (6)  all_58_23 = all_52_7
% 173.50/27.10    (7)   ~ (all_52_2 = all_6_2)
% 173.50/27.10    (8)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 173.50/27.10    (9)  all_56_5 = all_52_9
% 173.50/27.10    (10)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 173.50/27.10    (11)   ~ (all_52_12 = all_6_2)
% 173.50/27.10    (12)   ~ (all_52_6 = all_4_2)
% 173.50/27.10    (13)   ~ (all_52_9 = all_4_2)
% 173.50/27.10    (14)  all_54_6 = all_52_9
% 173.50/27.10    (15)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 173.50/27.10    (16)  all_56_8 = all_10_2
% 173.50/27.10    (17)  op(e2, all_52_1) = all_58_4
% 173.50/27.10    (18)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 173.50/27.10    (19)  all_56_14 = e0
% 173.50/27.10    (20)   ~ (all_52_9 = e0)
% 173.50/27.10    (21)  all_58_26 = all_10_2
% 173.50/27.10    (22)  all_58_31 = all_14_2
% 173.50/27.10    (23)   ~ (all_52_9 = all_52_13)
% 173.50/27.10    (24)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 173.50/27.10    (25)   ~ (all_52_1 = all_6_2)
% 173.50/27.10    (26)  all_56_11 = all_52_14
% 173.50/27.10    (27)  op(e2, e1) = all_52_9
% 173.50/27.10    (28)   ~ (all_4_1 = e0)
% 173.50/27.10    (29)  all_56_0 = all_6_2
% 173.50/27.10    (30)   ~ (all_52_9 = all_10_2)
% 173.50/27.10    (31)  all_58_30 = all_52_14
% 173.50/27.10    (32)  op(all_4_2, e2) = all_4_1
% 173.50/27.10    (33)  all_58_17 = all_52_1
% 173.50/27.10    (34)  all_58_20 = e0
% 173.50/27.10    (35)  all_58_19 = all_52_3
% 173.50/27.10    (36)  all_56_9 = all_52_12
% 173.50/27.10    (37)   ~ (all_52_2 = all_52_6)
% 173.50/27.10    (38)   ~ (e3 = e2)
% 173.50/27.10    (39)   ~ (e2 = e1)
% 173.50/27.10    (40)   ~ (all_52_6 = all_10_2)
% 173.50/27.10    (41)  all_56_1 = e0
% 173.50/27.10    (42)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 173.50/27.10    (43)   ~ (all_52_13 = all_14_2)
% 173.50/27.10    (44)   ~ (all_52_1 = all_4_2)
% 173.50/27.10    (45)  all_58_18 = all_52_2
% 173.50/27.10    (46)  all_58_16 = all_6_2
% 173.50/27.10    (47)   ~ (all_52_8 = all_52_9)
% 173.50/27.10    (48)  all_56_2 = all_52_1
% 173.50/27.10    (49)   ~ (e3 = e0)
% 173.50/27.10    (50)  all_58_29 = all_52_13
% 173.50/27.10    (51)   ~ (all_52_1 = all_52_2)
% 173.50/27.10    (52)  op(e3, e2) = e0
% 173.50/27.10    (53)   ~ (all_4_2 = e0)
% 173.50/27.10    (54)   ~ (all_6_2 = e0)
% 173.50/27.10    (55)   ~ (all_52_6 = all_52_14)
% 173.50/27.10    (56)  all_56_4 = all_52_8
% 173.50/27.10    (57)   ~ (all_52_1 = all_52_13)
% 173.50/27.10    (58)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 173.50/27.10    (59)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 173.50/27.10    (60)  all_54_10 = all_10_2
% 173.50/27.10    (61)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 173.50/27.10    (62)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 173.50/27.10    (63)  op(all_10_2, e1) = e0
% 173.50/27.10    (64)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 173.50/27.10    (65)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 173.50/27.10    (66)   ~ (all_52_8 = all_6_2)
% 173.50/27.10    (67)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 173.50/27.10    (68)  all_56_6 = all_52_2
% 173.50/27.10    (69)   ~ (all_52_1 = all_52_9)
% 173.50/27.10    (70)   ~ (all_52_7 = e0)
% 173.50/27.10    (71)  all_58_24 = all_52_8
% 173.50/27.10    (72)   ~ (all_52_12 = all_52_14)
% 173.50/27.10    (73)  all_58_22 = all_52_6
% 173.50/27.10    (74)  all_58_27 = e0
% 173.50/27.10    (75)  all_56_3 = all_4_2
% 173.50/27.10    (76)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 173.50/27.10    (77)  all_54_0 = all_6_2
% 173.50/27.10    (78)   ~ (all_52_14 = all_10_2)
% 173.50/27.10    (79)   ~ (all_52_2 = all_52_3)
% 173.50/27.10    (80)  all_58_25 = all_52_9
% 173.50/27.10    (81)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.50/27.10            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.50/27.10    (82)   ~ (all_52_2 = all_52_14)
% 173.50/27.10    (83)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 173.50/27.10    (84)  all_58_21 = all_4_2
% 173.50/27.10    (85)  all_56_10 = all_52_13
% 173.50/27.10    (86)   ~ (all_52_3 = e0)
% 173.50/27.10    (87)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 173.50/27.10    (88)   ~ (e2 = e0)
% 173.50/27.10    (89)  all_58_28 = all_52_12
% 173.50/27.10    (90)   ~ (e1 = e0)
% 173.50/27.10    (91)  all_54_4 = all_52_1
% 173.50/27.10    (92)  all_56_7 = all_52_6
% 173.50/27.10    (93)   ~ (all_52_8 = e0)
% 173.50/27.10    (94)  all_54_5 = all_4_2
% 173.50/27.10    (95)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 173.50/27.10          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 173.50/27.10          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.50/27.10          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 173.50/27.10          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.50/27.10          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 173.50/27.10          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.50/27.10          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 173.50/27.10          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 173.50/27.10          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 173.50/27.10            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 173.50/27.10            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 173.50/27.10            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 173.50/27.10            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 173.50/27.10            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 173.50/27.10            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 173.50/27.10            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 173.50/27.10            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 173.50/27.10            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 173.50/27.10            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 173.50/27.10            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 173.50/27.10            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 173.50/27.10            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 173.50/27.10            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 173.50/27.10            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 173.50/27.10            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 173.50/27.10          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 173.50/27.10          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.50/27.10          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 173.50/27.10            all_58_30 = e0 & e1 = e0)
% 173.50/27.10    (96)  all_56_0 = e3 | all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3
% 173.50/27.10    (97)   ~ (all_52_12 = all_52_13)
% 173.50/27.10  
% 173.50/27.10  Begin of proof
% 173.50/27.10  | 
% 173.50/27.10  | BETA: splitting (61) gives:
% 173.50/27.10  | 
% 173.50/27.10  | Case 1:
% 173.50/27.10  | | 
% 173.50/27.10  | |   (98)  all_56_0 = e0
% 173.50/27.10  | | 
% 173.50/27.10  | | COMBINE_EQS: (29), (98) imply:
% 173.50/27.10  | |   (99)  all_6_2 = e0
% 173.50/27.10  | | 
% 173.50/27.10  | | REDUCE: (54), (99) imply:
% 173.50/27.10  | |   (100)  $false
% 173.50/27.10  | | 
% 173.50/27.10  | | CLOSE: (100) is inconsistent.
% 173.50/27.10  | | 
% 173.50/27.10  | Case 2:
% 173.50/27.10  | | 
% 173.50/27.10  | |   (101)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 173.50/27.10  | | 
% 173.50/27.10  | | BETA: splitting (10) gives:
% 173.50/27.10  | | 
% 173.50/27.10  | | Case 1:
% 173.50/27.10  | | | 
% 173.50/27.10  | | |   (102)  all_56_3 = e0
% 173.50/27.10  | | | 
% 173.50/27.10  | | | COMBINE_EQS: (75), (102) imply:
% 173.50/27.10  | | |   (103)  all_4_2 = e0
% 173.50/27.10  | | | 
% 173.50/27.10  | | | REDUCE: (53), (103) imply:
% 173.50/27.10  | | |   (104)  $false
% 173.50/27.10  | | | 
% 173.50/27.10  | | | CLOSE: (104) is inconsistent.
% 173.50/27.10  | | | 
% 173.50/27.10  | | Case 2:
% 173.50/27.10  | | | 
% 173.50/27.10  | | |   (105)  all_56_5 = e0 | all_56_10 = e0
% 173.50/27.10  | | | 
% 173.50/27.10  | | | BETA: splitting (105) gives:
% 173.50/27.10  | | | 
% 173.50/27.10  | | | Case 1:
% 173.50/27.10  | | | | 
% 173.50/27.10  | | | |   (106)  all_56_5 = e0
% 173.50/27.10  | | | | 
% 173.50/27.10  | | | | COMBINE_EQS: (9), (106) imply:
% 173.50/27.10  | | | |   (107)  all_52_9 = e0
% 173.50/27.10  | | | | 
% 173.50/27.10  | | | | REDUCE: (20), (107) imply:
% 173.50/27.10  | | | |   (108)  $false
% 173.50/27.10  | | | | 
% 173.50/27.10  | | | | CLOSE: (108) is inconsistent.
% 173.50/27.10  | | | | 
% 173.50/27.10  | | | Case 2:
% 173.50/27.10  | | | | 
% 173.50/27.10  | | | |   (109)  all_56_10 = e0
% 173.50/27.10  | | | | 
% 173.50/27.10  | | | | COMBINE_EQS: (85), (109) imply:
% 173.50/27.10  | | | |   (110)  all_52_13 = e0
% 173.50/27.10  | | | | 
% 173.50/27.10  | | | | COMBINE_EQS: (50), (110) imply:
% 173.50/27.10  | | | |   (111)  all_58_29 = e0
% 173.50/27.10  | | | | 
% 173.50/27.10  | | | | REDUCE: (57), (110) imply:
% 173.50/27.10  | | | |   (112)   ~ (all_52_1 = e0)
% 173.50/27.10  | | | | 
% 173.50/27.10  | | | | REDUCE: (97), (110) imply:
% 173.50/27.10  | | | |   (113)   ~ (all_52_12 = e0)
% 173.50/27.10  | | | | 
% 173.50/27.10  | | | | REDUCE: (43), (110) imply:
% 173.50/27.10  | | | |   (114)   ~ (all_14_2 = e0)
% 173.50/27.10  | | | | 
% 173.50/27.10  | | | | SIMP: (114) implies:
% 173.50/27.10  | | | |   (115)   ~ (all_14_2 = e0)
% 173.50/27.10  | | | | 
% 173.50/27.10  | | | | BETA: splitting (62) gives:
% 173.50/27.10  | | | | 
% 173.50/27.10  | | | | Case 1:
% 173.50/27.10  | | | | | 
% 173.50/27.10  | | | | |   (116)  all_56_6 = e0
% 173.50/27.10  | | | | | 
% 173.50/27.10  | | | | | COMBINE_EQS: (68), (116) imply:
% 173.50/27.10  | | | | |   (117)  all_52_2 = e0
% 173.50/27.10  | | | | | 
% 173.50/27.10  | | | | | SIMP: (117) implies:
% 173.50/27.10  | | | | |   (118)  all_52_2 = e0
% 173.50/27.10  | | | | | 
% 173.50/27.10  | | | | | COMBINE_EQS: (45), (118) imply:
% 173.50/27.10  | | | | |   (119)  all_58_18 = e0
% 173.50/27.10  | | | | | 
% 173.50/27.10  | | | | | REDUCE: (79), (118) imply:
% 173.50/27.10  | | | | |   (120)   ~ (all_52_3 = e0)
% 173.50/27.10  | | | | | 
% 173.50/27.10  | | | | | REDUCE: (37), (118) imply:
% 173.50/27.10  | | | | |   (121)   ~ (all_52_6 = e0)
% 173.50/27.10  | | | | | 
% 173.50/27.10  | | | | | SIMP: (121) implies:
% 173.50/27.10  | | | | |   (122)   ~ (all_52_6 = e0)
% 173.50/27.10  | | | | | 
% 173.50/27.10  | | | | | REDUCE: (82), (118) imply:
% 173.50/27.10  | | | | |   (123)   ~ (all_52_14 = e0)
% 173.50/27.10  | | | | | 
% 173.50/27.10  | | | | | SIMP: (123) implies:
% 173.50/27.10  | | | | |   (124)   ~ (all_52_14 = e0)
% 173.50/27.10  | | | | | 
% 173.50/27.10  | | | | | REDUCE: (7), (118) imply:
% 173.50/27.10  | | | | |   (125)   ~ (all_6_2 = e0)
% 173.50/27.10  | | | | | 
% 173.50/27.10  | | | | | BETA: splitting (3) gives:
% 173.50/27.10  | | | | | 
% 173.50/27.10  | | | | | Case 1:
% 173.50/27.10  | | | | | | 
% 173.50/27.10  | | | | | |   (126)  all_54_0 = e0
% 173.50/27.10  | | | | | | 
% 173.50/27.10  | | | | | | REF_CLOSE: (54), (77), (126) are inconsistent by sub-proof #984.
% 173.50/27.10  | | | | | | 
% 173.50/27.10  | | | | | Case 2:
% 173.50/27.10  | | | | | | 
% 173.50/27.10  | | | | | |   (127)   ~ (all_54_0 = e0)
% 173.50/27.10  | | | | | |   (128)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 173.50/27.10  | | | | | | 
% 173.50/27.10  | | | | | | BETA: splitting (67) gives:
% 173.50/27.10  | | | | | | 
% 173.50/27.10  | | | | | | Case 1:
% 173.50/27.10  | | | | | | | 
% 173.50/27.10  | | | | | | |   (129)  all_54_4 = e0
% 173.50/27.10  | | | | | | | 
% 173.50/27.10  | | | | | | | REF_CLOSE: (91), (112), (129) are inconsistent by sub-proof #902.
% 173.50/27.10  | | | | | | | 
% 173.50/27.10  | | | | | | Case 2:
% 173.50/27.10  | | | | | | | 
% 173.50/27.10  | | | | | | |   (130)   ~ (all_54_4 = e0)
% 173.50/27.10  | | | | | | |   (131)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 173.50/27.10  | | | | | | | 
% 173.50/27.10  | | | | | | | BETA: splitting (15) gives:
% 173.50/27.10  | | | | | | | 
% 173.50/27.10  | | | | | | | Case 1:
% 173.50/27.10  | | | | | | | | 
% 173.50/27.10  | | | | | | | |   (132)  all_54_6 = e0
% 173.50/27.10  | | | | | | | | 
% 173.50/27.10  | | | | | | | | REF_CLOSE: (14), (20), (132) are inconsistent by sub-proof #901.
% 173.50/27.10  | | | | | | | | 
% 173.50/27.10  | | | | | | | Case 2:
% 173.50/27.10  | | | | | | | | 
% 173.50/27.10  | | | | | | | |   (133)   ~ (all_54_6 = e0)
% 173.50/27.10  | | | | | | | |   (134)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 173.50/27.10  | | | | | | | | 
% 173.50/27.10  | | | | | | | | BETA: splitting (64) gives:
% 173.50/27.10  | | | | | | | | 
% 173.50/27.10  | | | | | | | | Case 1:
% 173.50/27.10  | | | | | | | | | 
% 173.50/27.10  | | | | | | | | |   (135)  all_58_23 = e0
% 173.50/27.10  | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | COMBINE_EQS: (6), (135) imply:
% 173.50/27.10  | | | | | | | | |   (136)  all_52_7 = e0
% 173.50/27.10  | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | REDUCE: (70), (136) imply:
% 173.50/27.10  | | | | | | | | |   (137)  $false
% 173.50/27.10  | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | CLOSE: (137) is inconsistent.
% 173.50/27.10  | | | | | | | | | 
% 173.50/27.10  | | | | | | | | Case 2:
% 173.50/27.10  | | | | | | | | | 
% 173.50/27.10  | | | | | | | | |   (138)   ~ (all_58_23 = e0)
% 173.50/27.10  | | | | | | | | |   (139)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 173.50/27.10  | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | BETA: splitting (8) gives:
% 173.50/27.10  | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | Case 1:
% 173.50/27.10  | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | |   (140)  all_58_19 = e0
% 173.50/27.10  | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | COMBINE_EQS: (35), (140) imply:
% 173.50/27.10  | | | | | | | | | |   (141)  all_52_3 = e0
% 173.50/27.10  | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | REDUCE: (86), (141) imply:
% 173.50/27.10  | | | | | | | | | |   (142)  $false
% 173.50/27.10  | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | CLOSE: (142) is inconsistent.
% 173.50/27.10  | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | Case 2:
% 173.50/27.10  | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | |   (143)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 173.50/27.10  | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | BETA: splitting (18) gives:
% 173.50/27.10  | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | Case 1:
% 173.50/27.10  | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | |   (144)  all_58_31 = e0
% 173.50/27.10  | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | COMBINE_EQS: (22), (144) imply:
% 173.50/27.10  | | | | | | | | | | |   (145)  all_14_2 = e0
% 173.50/27.10  | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | REDUCE: (115), (145) imply:
% 173.50/27.10  | | | | | | | | | | |   (146)  $false
% 173.50/27.10  | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | CLOSE: (146) is inconsistent.
% 173.50/27.10  | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | Case 2:
% 173.50/27.10  | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | |   (147)   ~ (all_58_31 = e0)
% 173.50/27.10  | | | | | | | | | | |   (148)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 173.50/27.10  | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | BETA: splitting (65) gives:
% 173.50/27.10  | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | Case 1:
% 173.50/27.10  | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | |   (149)  all_56_4 = e3
% 173.50/27.10  | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | COMBINE_EQS: (56), (149) imply:
% 173.50/27.10  | | | | | | | | | | | |   (150)  all_52_8 = e3
% 173.50/27.10  | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | REDUCE: (4), (150) imply:
% 173.50/27.10  | | | | | | | | | | | |   (151)   ~ (all_52_12 = e3)
% 173.50/27.10  | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | SIMP: (151) implies:
% 173.50/27.10  | | | | | | | | | | | |   (152)   ~ (all_52_12 = e3)
% 173.50/27.10  | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | REDUCE: (66), (150) imply:
% 173.50/27.10  | | | | | | | | | | | |   (153)   ~ (all_6_2 = e3)
% 173.50/27.10  | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | SIMP: (153) implies:
% 173.50/27.10  | | | | | | | | | | | |   (154)   ~ (all_6_2 = e3)
% 173.50/27.10  | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | BETA: splitting (143) gives:
% 173.50/27.10  | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | Case 1:
% 173.50/27.10  | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | |   (155)  all_58_18 = e1
% 173.50/27.10  | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | COMBINE_EQS: (119), (155) imply:
% 173.50/27.10  | | | | | | | | | | | | |   (156)  e1 = e0
% 173.50/27.10  | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | REDUCE: (90), (156) imply:
% 173.50/27.10  | | | | | | | | | | | | |   (157)  $false
% 173.50/27.10  | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | CLOSE: (157) is inconsistent.
% 173.50/27.10  | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | Case 2:
% 173.50/27.10  | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | |   (158)  all_58_16 = e3 | all_58_17 = e2
% 173.50/27.10  | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | BETA: splitting (148) gives:
% 173.50/27.10  | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | Case 1:
% 173.50/27.10  | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | |   (159)  all_58_30 = e1
% 173.50/27.10  | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | COMBINE_EQS: (31), (159) imply:
% 173.50/27.10  | | | | | | | | | | | | | |   (160)  all_52_14 = e1
% 173.50/27.10  | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | SIMP: (160) implies:
% 173.50/27.10  | | | | | | | | | | | | | |   (161)  all_52_14 = e1
% 173.50/27.10  | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | REDUCE: (72), (161) imply:
% 173.50/27.10  | | | | | | | | | | | | | |   (162)   ~ (all_52_12 = e1)
% 173.50/27.10  | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 173.50/27.10  | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | Case 1:
% 173.50/27.10  | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | |   (163)  all_56_0 = e1
% 173.50/27.10  | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | COMBINE_EQS: (29), (163) imply:
% 173.50/27.10  | | | | | | | | | | | | | | |   (164)  all_6_2 = e1
% 173.50/27.10  | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | SIMP: (164) implies:
% 173.50/27.10  | | | | | | | | | | | | | | |   (165)  all_6_2 = e1
% 173.50/27.10  | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | COMBINE_EQS: (46), (165) imply:
% 173.50/27.10  | | | | | | | | | | | | | | |   (166)  all_58_16 = e1
% 173.50/27.10  | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | REDUCE: (154), (165) imply:
% 173.50/27.10  | | | | | | | | | | | | | | |   (167)   ~ (e3 = e1)
% 173.50/27.10  | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (12), (28), (32), (33), (34), (36),
% 173.50/27.10  | | | | | | | | | | | | | | |            (38), (39), (41), (42), (44), (49), (52), (73),
% 173.50/27.10  | | | | | | | | | | | | | | |            (81), (83), (84), (88), (94), (139), (149), (158),
% 173.50/27.10  | | | | | | | | | | | | | | |            (163), (166) are inconsistent by sub-proof #971.
% 173.50/27.10  | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | Case 2:
% 173.50/27.10  | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | |   (168)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 173.50/27.10  | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (41), (90), (149), (162), (168) are
% 173.50/27.10  | | | | | | | | | | | | | | |            inconsistent by sub-proof #475.
% 173.50/27.10  | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | End of split
% 173.50/27.10  | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | Case 2:
% 173.50/27.10  | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | |   (169)  all_58_28 = e3 | all_58_29 = e2
% 173.50/27.10  | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | REF_CLOSE: (88), (89), (111), (152), (169) are inconsistent
% 173.50/27.10  | | | | | | | | | | | | | |            by sub-proof #869.
% 173.50/27.10  | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | End of split
% 173.50/27.10  | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | End of split
% 173.50/27.10  | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | Case 2:
% 173.50/27.10  | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | |   (170)   ~ (all_56_4 = e3)
% 173.50/27.10  | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | REDUCE: (56), (170) imply:
% 173.50/27.10  | | | | | | | | | | | |   (171)   ~ (all_52_8 = e3)
% 173.50/27.10  | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | BETA: splitting (96) gives:
% 173.50/27.10  | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | Case 1:
% 173.50/27.10  | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | |   (172)  all_56_0 = e3
% 173.50/27.10  | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | COMBINE_EQS: (29), (172) imply:
% 173.50/27.10  | | | | | | | | | | | | |   (173)  all_6_2 = e3
% 173.50/27.10  | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | REDUCE: (25), (173) imply:
% 173.50/27.10  | | | | | | | | | | | | |   (174)   ~ (all_52_1 = e3)
% 173.50/27.10  | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | REDUCE: (11), (173) imply:
% 173.50/27.10  | | | | | | | | | | | | |   (175)   ~ (all_52_12 = e3)
% 173.50/27.10  | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | REF_CLOSE: (13), (14), (17), (20), (27), (30), (31), (34),
% 173.50/27.10  | | | | | | | | | | | | |            (44), (48), (49), (55), (59), (60), (63), (69),
% 173.50/27.10  | | | | | | | | | | | | |            (73), (78), (81), (84), (87), (88), (89), (91),
% 173.50/27.10  | | | | | | | | | | | | |            (111), (131), (134), (139), (148), (174), (175)
% 173.50/27.10  | | | | | | | | | | | | |            are inconsistent by sub-proof #464.
% 173.50/27.10  | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | Case 2:
% 173.50/27.10  | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | |   (176)  all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3
% 173.50/27.10  | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | BETA: splitting (176) gives:
% 173.50/27.10  | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | Case 1:
% 173.50/27.10  | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | |   (177)  all_56_1 = e3
% 173.50/27.10  | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | REF_CLOSE: (41), (49), (177) are inconsistent by sub-proof
% 173.50/27.10  | | | | | | | | | | | | | |            #749.
% 173.50/27.10  | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | Case 2:
% 173.50/27.10  | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | |   (178)  all_56_4 = e3 | all_56_9 = e3
% 173.50/27.10  | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 173.50/27.10  | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | Case 1:
% 173.50/27.10  | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | |   (179)  all_56_4 = e3
% 173.50/27.10  | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | COMBINE_EQS: (56), (179) imply:
% 173.50/27.10  | | | | | | | | | | | | | | |   (180)  all_52_8 = e3
% 173.50/27.10  | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | REDUCE: (171), (180) imply:
% 173.50/27.10  | | | | | | | | | | | | | | |   (181)  $false
% 173.50/27.10  | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | CLOSE: (181) is inconsistent.
% 173.50/27.10  | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | Case 2:
% 173.50/27.10  | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | |   (182)  all_56_9 = e3
% 173.50/27.10  | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | COMBINE_EQS: (36), (182) imply:
% 173.50/27.10  | | | | | | | | | | | | | | |   (183)  all_52_12 = e3
% 173.50/27.10  | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | COMBINE_EQS: (89), (183) imply:
% 173.50/27.10  | | | | | | | | | | | | | | |   (184)  all_58_28 = e3
% 173.50/27.10  | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | REDUCE: (72), (183) imply:
% 173.50/27.10  | | | | | | | | | | | | | | |   (185)   ~ (all_52_14 = e3)
% 173.50/27.10  | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | SIMP: (185) implies:
% 173.50/27.10  | | | | | | | | | | | | | | |   (186)   ~ (all_52_14 = e3)
% 173.50/27.10  | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | REDUCE: (11), (183) imply:
% 173.50/27.10  | | | | | | | | | | | | | | |   (187)   ~ (all_6_2 = e3)
% 173.50/27.10  | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | SIMP: (187) implies:
% 173.50/27.10  | | | | | | | | | | | | | | |   (188)   ~ (all_6_2 = e3)
% 173.50/27.10  | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | BETA: splitting (143) gives:
% 173.50/27.10  | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | Case 1:
% 173.50/27.10  | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | |   (189)  all_58_18 = e1
% 173.50/27.10  | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | COMBINE_EQS: (119), (189) imply:
% 173.50/27.10  | | | | | | | | | | | | | | | |   (190)  e1 = e0
% 173.50/27.10  | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | REDUCE: (90), (190) imply:
% 173.50/27.10  | | | | | | | | | | | | | | | |   (191)  $false
% 173.50/27.10  | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | CLOSE: (191) is inconsistent.
% 173.50/27.10  | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | Case 2:
% 173.50/27.10  | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | |   (192)  all_58_16 = e3 | all_58_17 = e2
% 173.50/27.10  | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 173.50/27.10  | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.10  | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | |   (193)  all_58_17 = e2
% 173.50/27.10  | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | COMBINE_EQS: (33), (193) imply:
% 173.50/27.10  | | | | | | | | | | | | | | | | |   (194)  all_52_1 = e2
% 173.50/27.10  | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | SIMP: (194) implies:
% 173.50/27.10  | | | | | | | | | | | | | | | | |   (195)  all_52_1 = e2
% 173.50/27.10  | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | REDUCE: (25), (195) imply:
% 173.50/27.10  | | | | | | | | | | | | | | | | |   (196)   ~ (all_6_2 = e2)
% 173.50/27.10  | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | SIMP: (196) implies:
% 173.50/27.10  | | | | | | | | | | | | | | | | |   (197)   ~ (all_6_2 = e2)
% 173.50/27.10  | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | REDUCE: (44), (195) imply:
% 173.50/27.10  | | | | | | | | | | | | | | | | |   (198)   ~ (all_4_2 = e2)
% 173.50/27.10  | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | SIMP: (198) implies:
% 173.50/27.10  | | | | | | | | | | | | | | | | |   (199)   ~ (all_4_2 = e2)
% 173.50/27.10  | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | BETA: splitting (42) gives:
% 173.50/27.10  | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | |   (200)  all_56_0 = e2
% 173.50/27.10  | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (29), (200) imply:
% 173.50/27.10  | | | | | | | | | | | | | | | | | |   (201)  all_6_2 = e2
% 173.50/27.10  | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | SIMP: (201) implies:
% 173.50/27.10  | | | | | | | | | | | | | | | | | |   (202)  all_6_2 = e2
% 173.50/27.10  | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | REDUCE: (197), (202) imply:
% 173.50/27.10  | | | | | | | | | | | | | | | | | |   (203)  $false
% 173.50/27.10  | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | CLOSE: (203) is inconsistent.
% 173.50/27.10  | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | |   (204)   ~ (all_56_0 = e2)
% 173.50/27.10  | | | | | | | | | | | | | | | | | |   (205)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 173.50/27.10  | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | BETA: splitting (128) gives:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | |   (206)  all_54_0 = e1
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (77), (206) imply:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | |   (207)  all_6_2 = e1
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | SIMP: (207) implies:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | |   (208)  all_6_2 = e1
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (46), (208) imply:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | |   (209)  all_58_16 = e1
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | REDUCE: (66), (208) imply:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | |   (210)   ~ (all_52_8 = e1)
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | REDUCE: (188), (208) imply:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | |   (211)   ~ (e3 = e1)
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | BETA: splitting (95) gives:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |   (212)  all_58_31 = e0
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (115), (212) are inconsistent by sub-proof
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |            #831.
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |   (213)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 |
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | |   (214)  all_58_26 = e1
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21), (214) imply:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | |   (215)  all_10_2 = e1
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | SIMP: (215) implies:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | |   (216)  all_10_2 = e1
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16), (216) imply:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | |   (217)  all_56_8 = e1
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (216) imply:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | |   (218)   ~ (all_52_6 = e1)
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (216) imply:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | |   (219)   ~ (all_52_14 = e1)
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (24) gives:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | |   (220)  all_56_6 = e3
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (116), (220) imply:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | |   (221)  e3 = e0
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (221) imply:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | |   (222)  $false
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (222) is inconsistent.
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | |   (223)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | | |   (224)  all_56_7 = e3
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (92), (224) imply:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | | |   (225)  all_52_6 = e3
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (225) implies:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | | |   (226)  all_52_6 = e3
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (73), (226) imply:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | | |   (227)  all_58_22 = e3
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (139) gives:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | |   (228)  all_58_22 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (227), (228) imply:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | |   (229)  e3 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (229) implies:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | |   (230)  e3 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (184), (230) imply:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | |   (231)  all_58_28 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (18), (22), (31), (88), (111), (115), (219),
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | |            (231) are inconsistent by sub-proof #477.
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | |   (232)  all_58_20 = e3 | all_58_21 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (49), (84), (199), (232) are inconsistent by
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #974.
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |   (233)  all_56_8 = e3 | all_56_11 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (18), (22), (26), (31), (88), (111), (115),
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |            (184), (186), (217), (219), (233) are inconsistent
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #463.
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |   (234)   ~ (all_58_26 = e1)
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |   (235)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            & all_58_18 = e1 & all_58_20 = e3 & all_58_24 =
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            all_58_20 = e3 & all_58_28 = e0) | (all_58_17 =
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_17 = e3 & all_58_20 = e3 &
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            all_58_23 = e2 & all_58_29 = e2) | (all_58_17 =
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            = e3) | (all_58_17 = e2 & all_58_19 = e3 &
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            all_58_20 = e2 & all_58_28 = e3) | (all_58_17 =
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            all_58_23 = e0 & all_58_29 = e0) | (all_58_17 =
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            & all_58_19 = e0 & all_58_24 = e3 & all_58_28 =
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            all_58_24 = e3 & all_58_25 = e1) | (all_58_18 =
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            all_58_24 = e1 & all_58_28 = e3) | (all_58_18 =
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_18 =
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_28 = e3 & all_58_29 =
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 =
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 =
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_25 = e2 & all_58_29 =
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_22 = e2 & all_58_25 = e2 &
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e1 & all_58_30 = e1) | (all_58_22 =
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_22 = e1 & all_58_25 = e1 &
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_22 =
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            & all_58_27 = e0 & all_58_29 = e2 & all_58_30 =
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_23 = e0 & all_58_27 = e1 &
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            all_58_29 = e0 & all_58_30 = e1) | (all_58_23 =
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0 & e1 = e0)
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (234) imply:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | |   (236)   ~ (all_10_2 = e1)
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |   (237)  all_58_21 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (84), (199), (237) are inconsistent by sub-proof
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            #829.
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |   (238)   ~ (all_58_21 = e2)
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |   (239)  all_58_16 = e3 | (all_58_17 = e3 & all_58_18 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            & all_58_20 = e3 & all_58_24 = e1) | (all_58_17
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0) | (all_58_17 = e3 & all_58_20 =
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_22 = e2 & all_58_25 = e2) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_18 = e1 & all_58_24
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 =
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e3 & all_58_29 = e0) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_19 = e0 & all_58_23
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_19 = e0 & all_58_28
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            = e0 & e3 = e0) | (all_58_22 = e2 & all_58_23 =
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_25 = e2 & all_58_29 = e0) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |   (240)  all_58_16 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (209), (240) imply:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |   (241)  e3 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (241) imply:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |   (242)  $false
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (242) is inconsistent.
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |   (243)   ~ (all_58_16 = e3)
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |   (244)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | |   (245)  all_56_4 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (210), (245) are inconsistent by sub-proof
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | |            #504.
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | |   (246)  all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (247)  all_56_5 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9), (247) imply:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  all_52_9 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (248) implies:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  all_52_9 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (80), (249) imply:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  all_58_25 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | |   (251)  all_56_1 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (41), (88), (192), (193), (209), (251) are
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #462.
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  all_56_4 = e2 | all_56_9 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  all_56_4 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (56), (253) imply:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  all_52_8 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (254) implies:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  all_52_8 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (71), (255) imply:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  all_58_24 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2)
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (260) implies:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  all_58_24 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  all_58_20 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  all_58_17 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (193), (263) imply:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  e3 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (34), (262) imply:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  e3 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (265) implies:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  e3 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (261) imply:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  e2 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (267) implies:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  e2 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (266) imply:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  e2 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (269) imply:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  e1 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (88), (192), (209), (263), (264), (269) are
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #554.
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_17 = e3 & all_58_20
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_22 = e2 & all_58_25 = e2)
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)  all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (272) implies:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  all_58_28 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  all_58_17 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (193), (274) imply:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)  e3 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (184), (273) imply:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)  e3 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (276) imply:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)  e2 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (88), (192), (209), (274), (275), (277) are
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #554.
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 &
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (278) implies:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  all_58_20 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  all_58_17 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (34), (279) imply:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  e3 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (281) implies:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  e3 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (282) imply:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  all_58_17 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (88), (192), (209), (283) are inconsistent by
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #980.
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (284) gives:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3)
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (286) implies:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  all_58_20 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  all_58_17 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (193), (288) imply:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  e3 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (34), (287) imply:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  e3 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (290) implies:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  e3 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (289), (291) imply:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  e2 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (88), (192), (209), (288), (289), (292) are
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #554.
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (293) implies:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  all_58_24 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  all_58_18 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (46), (88), (119), (143), (188), (193),
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (256), (294), (295) are inconsistent by sub-proof
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #460.
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (34), (88), (192), (209), (296) are
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #459.
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0)
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (297) gives:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2)
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (299) gives:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (300) implies:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  all_58_20 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (34), (301) imply:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  e2 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (88), (192), (193), (209), (302) are
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  all_58_17 = e2 & all_58_20 = e2 & e3 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (303) implies:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  all_58_20 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (34), (304) imply:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  e2 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (88), (192), (193), (209), (305) are
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)  (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1)
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (46), (88), (143), (184), (188), (193),
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (256), (307) are inconsistent by sub-proof #457.
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 &
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (308) implies:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  all_58_24 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  all_58_18 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (119), (310) imply:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  e3 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (309) imply:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  e3 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (46), (88), (143), (188), (193), (310),
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (311), (312) are inconsistent by sub-proof #458.
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3)
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (314) gives:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (315) implies:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  all_58_24 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  all_58_18 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (46), (88), (119), (143), (188), (193),
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (256), (316), (317) are inconsistent by sub-proof
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #460.
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (318) implies:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  all_58_24 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  all_58_18 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (88), (119), (192), (193), (209), (256),
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (319), (320) are inconsistent by sub-proof #546.
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (321) gives:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 &
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (88), (119), (192), (193), (209), (250),
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (322) are inconsistent by sub-proof #545.
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (323) implies:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  all_58_24 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  all_58_18 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (88), (119), (192), (193), (209), (256),
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (324), (325) are inconsistent by sub-proof #546.
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (326) gives:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (327) gives:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  all_58_18 = e1 & all_58_24 = e1 & e3 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (329) implies:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  all_58_24 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  all_58_18 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (88), (119), (192), (193), (209), (256),
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (330), (331) are inconsistent by sub-proof #546.
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (333) implies:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  all_58_23 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6), (334) imply:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  all_52_7 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (335) implies:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  all_52_7 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (336) imply:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  $false
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (337) is inconsistent.
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (338) implies:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  all_58_30 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (124), (339) are inconsistent by sub-proof
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #456.
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (340) gives:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1)
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (341) gives:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (342) implies:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  all_58_29 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (88), (111), (192), (193), (209), (343) are
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #455.
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (344) implies:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  all_58_27 = e1
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (74), (90), (345) are inconsistent by sub-proof
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #454.
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (346)  (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (346) gives:
% 173.50/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  all_58_19 = e0 & all_58_28 = e0 & e3 = e0
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (347) implies:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  all_58_28 = e0
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (184), (348) imply:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  e3 = e0
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (349) imply:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  $false
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (350) is inconsistent.
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (351) implies:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (352)  all_58_25 = e2
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (352) imply:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (353)  e2 = e1
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (12), (28), (32), (34), (36), (39), (49),
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (52), (73), (81), (83), (84), (94), (139), (199),
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (252), (253), (353) are inconsistent by sub-proof
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #453.
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (354)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (354) gives:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (355)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (355) gives:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (356)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2)
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (74), (88), (111), (192), (193), (209),
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (250), (356) are inconsistent by sub-proof #452.
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (357)  (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (357) gives:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (358)  all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (358) implies:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (359)  all_58_30 = e0
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (124), (359) are inconsistent by sub-proof
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #456.
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  all_58_22 = e1 & all_58_25 = e1 & e2 = e1
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (360) implies:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (361)  e2 = e1
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (12), (28), (32), (34), (36), (39), (49),
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (52), (73), (81), (83), (84), (94), (139), (199),
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (252), (253), (361) are inconsistent by sub-proof
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #453.
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (362)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (362) gives:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1)
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (364) implies:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (365)  all_58_29 = e2
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (111), (365) imply:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (366)  e2 = e0
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (88), (192), (193), (209), (366) are
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (367)  all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (367) implies:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (368)  all_58_27 = e1
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (74), (90), (368) are inconsistent by sub-proof
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #454.
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (369)  (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (370)  all_58_23 = e0 & all_58_29 = e0 & e2 = e0
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (88), (192), (193), (209), (370) are
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #539.
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (371)  all_58_27 = e0 & all_58_30 = e0 & e1 = e0
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (371) implies:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (372)  e1 = e0
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (372) imply:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (373)  $false
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (373) is inconsistent.
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (374)  all_56_9 = e2
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (182), (374) are inconsistent by sub-proof
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #835.
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | |   (375)  all_56_8 = e1 | all_56_14 = e1
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (19), (90), (236), (375) are inconsistent by
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #832.
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | |   (376)  all_54_0 = e3 | all_54_0 = e2
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (77), (188), (197), (376) are inconsistent by
% 173.50/27.12  | | | | | | | | | | | | | | | | | | |            sub-proof #843.
% 173.50/27.12  | | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.12  | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | |   (377)  all_58_16 = e3
% 173.50/27.12  | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (188), (377) are inconsistent by sub-proof
% 173.50/27.12  | | | | | | | | | | | | | | | | |            #451.
% 173.50/27.12  | | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | | 
% 173.50/27.12  | | | | | | | | End of split
% 173.50/27.12  | | | | | | | | 
% 173.50/27.12  | | | | | | | End of split
% 173.50/27.12  | | | | | | | 
% 173.50/27.12  | | | | | | End of split
% 173.50/27.12  | | | | | | 
% 173.50/27.12  | | | | | End of split
% 173.50/27.12  | | | | | 
% 173.50/27.12  | | | | Case 2:
% 173.50/27.12  | | | | | 
% 173.50/27.12  | | | | |   (378)   ~ (all_56_6 = e0)
% 173.50/27.12  | | | | | 
% 173.50/27.12  | | | | | REDUCE: (68), (378) imply:
% 173.50/27.12  | | | | |   (379)   ~ (all_52_2 = e0)
% 173.50/27.12  | | | | | 
% 173.50/27.12  | | | | | REF_CLOSE: (1), (48), (68), (86), (101), (112), (379) are inconsistent
% 173.50/27.12  | | | | |            by sub-proof #917.
% 173.50/27.12  | | | | | 
% 173.50/27.12  | | | | End of split
% 173.50/27.12  | | | | 
% 173.50/27.12  | | | End of split
% 173.50/27.12  | | | 
% 173.50/27.12  | | End of split
% 173.50/27.12  | | 
% 173.50/27.12  | End of split
% 173.50/27.12  | 
% 173.50/27.12  End of proof
% 173.50/27.12  
% 173.50/27.12  Sub-proof #451 shows that the following formulas are inconsistent:
% 173.50/27.12  ----------------------------------------------------------------
% 173.50/27.12    (1)  all_58_16 = all_6_2
% 173.50/27.12    (2)  all_58_16 = e3
% 173.50/27.12    (3)   ~ (all_6_2 = e3)
% 173.50/27.12  
% 173.50/27.12  Begin of proof
% 173.50/27.12  | 
% 173.50/27.12  | COMBINE_EQS: (1), (2) imply:
% 173.50/27.12  |   (4)  all_6_2 = e3
% 173.50/27.12  | 
% 173.50/27.12  | SIMP: (4) implies:
% 173.50/27.12  |   (5)  all_6_2 = e3
% 173.50/27.12  | 
% 173.50/27.12  | REDUCE: (3), (5) imply:
% 173.50/27.12  |   (6)  $false
% 173.50/27.12  | 
% 173.50/27.12  | CLOSE: (6) is inconsistent.
% 173.50/27.12  | 
% 173.50/27.12  End of proof
% 173.50/27.12  
% 173.50/27.12  Sub-proof #452 shows that the following formulas are inconsistent:
% 173.50/27.12  ----------------------------------------------------------------
% 173.50/27.12    (1)   ~ (e3 = e1)
% 173.50/27.12    (2)  all_58_25 = e1
% 173.50/27.12    (3)  all_58_16 = e1
% 173.50/27.12    (4)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 173.50/27.12         (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29 = e2)
% 173.50/27.12    (5)  all_58_17 = e2
% 173.50/27.12    (6)  all_58_27 = e0
% 173.50/27.12    (7)  all_58_29 = e0
% 173.50/27.12    (8)  all_58_16 = e3 | all_58_17 = e2
% 173.50/27.12    (9)   ~ (e2 = e0)
% 173.50/27.12  
% 173.50/27.12  Begin of proof
% 173.50/27.12  | 
% 173.50/27.12  | BETA: splitting (4) gives:
% 173.50/27.12  | 
% 173.50/27.12  | Case 1:
% 173.50/27.12  | | 
% 173.50/27.12  | |   (10)  all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 & all_58_30 = e1
% 173.50/27.12  | | 
% 173.50/27.12  | | REF_CLOSE: (1), (2), (3), (5), (6), (8), (9), (10) are inconsistent by
% 173.50/27.12  | |            sub-proof #540.
% 173.50/27.12  | | 
% 173.50/27.12  | Case 2:
% 173.50/27.12  | | 
% 173.50/27.12  | |   (11)  all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29 = e2
% 173.50/27.12  | | 
% 173.50/27.12  | | ALPHA: (11) implies:
% 173.50/27.12  | |   (12)  all_58_29 = e2
% 173.50/27.12  | | 
% 173.50/27.12  | | REF_CLOSE: (1), (3), (5), (7), (8), (9), (12) are inconsistent by sub-proof
% 173.50/27.12  | |            #455.
% 173.50/27.12  | | 
% 173.50/27.12  | End of split
% 173.50/27.12  | 
% 173.50/27.12  End of proof
% 173.50/27.12  
% 173.50/27.12  Sub-proof #453 shows that the following formulas are inconsistent:
% 173.50/27.12  ----------------------------------------------------------------
% 173.50/27.12    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 173.50/27.12    (2)  op(e3, all_52_12) = all_58_3
% 173.50/27.12    (3)   ~ (all_52_6 = all_4_2)
% 173.50/27.12    (4)  all_56_4 = e2 | all_56_9 = e2
% 173.50/27.12    (5)  all_56_4 = e2
% 173.50/27.12    (6)   ~ (all_4_1 = e0)
% 173.50/27.12    (7)  op(all_4_2, e2) = all_4_1
% 173.50/27.12    (8)  all_58_20 = e0
% 173.50/27.12    (9)  all_56_9 = all_52_12
% 173.50/27.12    (10)   ~ (e2 = e1)
% 173.50/27.12    (11)  e2 = e1
% 173.50/27.12    (12)   ~ (e3 = e0)
% 173.50/27.12    (13)  op(e3, e2) = e0
% 173.50/27.12    (14)  all_58_22 = all_52_6
% 173.50/27.12    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.50/27.12            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.50/27.12    (16)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 173.50/27.12    (17)  all_58_21 = all_4_2
% 173.50/27.12    (18)  all_54_5 = all_4_2
% 173.50/27.12    (19)   ~ (all_4_2 = e2)
% 173.50/27.12  
% 173.50/27.12  Begin of proof
% 173.50/27.12  | 
% 173.50/27.12  | COMBINE_EQS: (5), (11) imply:
% 173.50/27.12  |   (20)  all_56_4 = e1
% 173.50/27.12  | 
% 173.50/27.12  | BETA: splitting (4) gives:
% 173.50/27.12  | 
% 173.50/27.12  | Case 1:
% 173.50/27.12  | | 
% 173.50/27.12  | | 
% 173.50/27.12  | | REF_CLOSE: (5), (10), (20) are inconsistent by sub-proof #700.
% 173.50/27.12  | | 
% 173.50/27.12  | Case 2:
% 173.50/27.12  | | 
% 173.50/27.12  | |   (21)  all_56_9 = e2
% 173.50/27.12  | | 
% 173.50/27.12  | | COMBINE_EQS: (9), (21) imply:
% 173.50/27.12  | |   (22)  all_52_12 = e2
% 173.50/27.12  | | 
% 173.50/27.12  | | REDUCE: (2), (22) imply:
% 173.50/27.12  | |   (23)  op(e3, e2) = all_58_3
% 173.50/27.12  | | 
% 173.50/27.12  | | REF_CLOSE: (1), (3), (6), (7), (8), (12), (13), (14), (15), (16), (17),
% 173.50/27.12  | |            (18), (19), (23) are inconsistent by sub-proof #973.
% 173.50/27.12  | | 
% 173.50/27.12  | End of split
% 173.50/27.12  | 
% 173.50/27.12  End of proof
% 173.50/27.12  
% 173.50/27.12  Sub-proof #454 shows that the following formulas are inconsistent:
% 173.50/27.12  ----------------------------------------------------------------
% 173.50/27.12    (1)  all_58_27 = e1
% 173.50/27.12    (2)  all_58_27 = e0
% 173.50/27.12    (3)   ~ (e1 = e0)
% 173.50/27.12  
% 173.50/27.12  Begin of proof
% 173.50/27.12  | 
% 173.50/27.12  | COMBINE_EQS: (1), (2) imply:
% 173.50/27.12  |   (4)  e1 = e0
% 173.50/27.12  | 
% 173.50/27.12  | SIMP: (4) implies:
% 173.50/27.12  |   (5)  e1 = e0
% 173.50/27.12  | 
% 173.50/27.12  | REDUCE: (3), (5) imply:
% 173.50/27.12  |   (6)  $false
% 173.50/27.12  | 
% 173.50/27.12  | CLOSE: (6) is inconsistent.
% 173.50/27.12  | 
% 173.50/27.12  End of proof
% 173.50/27.12  
% 173.50/27.12  Sub-proof #455 shows that the following formulas are inconsistent:
% 173.50/27.12  ----------------------------------------------------------------
% 173.50/27.12    (1)   ~ (e3 = e1)
% 173.50/27.12    (2)  all_58_16 = e1
% 173.50/27.12    (3)  all_58_17 = e2
% 173.50/27.12    (4)  all_58_29 = e0
% 173.50/27.12    (5)  all_58_16 = e3 | all_58_17 = e2
% 173.50/27.12    (6)  all_58_29 = e2
% 173.50/27.12    (7)   ~ (e2 = e0)
% 173.50/27.12  
% 173.50/27.12  Begin of proof
% 173.50/27.12  | 
% 173.50/27.12  | COMBINE_EQS: (4), (6) imply:
% 173.50/27.12  |   (8)  e2 = e0
% 173.50/27.12  | 
% 173.50/27.12  | COMBINE_EQS: (3), (8) imply:
% 173.50/27.12  |   (9)  all_58_17 = e0
% 173.50/27.12  | 
% 173.50/27.12  | REF_CLOSE: (1), (2), (5), (7), (9) are inconsistent by sub-proof #980.
% 173.50/27.12  | 
% 173.50/27.12  End of proof
% 173.50/27.12  
% 173.50/27.12  Sub-proof #456 shows that the following formulas are inconsistent:
% 173.50/27.12  ----------------------------------------------------------------
% 173.50/27.12    (1)  all_58_30 = all_52_14
% 173.50/27.12    (2)  all_58_30 = e0
% 173.50/27.12    (3)   ~ (all_52_14 = e0)
% 173.50/27.12  
% 173.50/27.12  Begin of proof
% 173.50/27.12  | 
% 173.50/27.12  | COMBINE_EQS: (1), (2) imply:
% 173.50/27.12  |   (4)  all_52_14 = e0
% 173.50/27.12  | 
% 173.50/27.12  | SIMP: (4) implies:
% 173.50/27.12  |   (5)  all_52_14 = e0
% 173.50/27.12  | 
% 173.50/27.12  | REDUCE: (3), (5) imply:
% 173.50/27.12  |   (6)  $false
% 173.50/27.12  | 
% 173.50/27.12  | CLOSE: (6) is inconsistent.
% 173.50/27.12  | 
% 173.50/27.12  End of proof
% 173.50/27.12  
% 173.50/27.12  Sub-proof #457 shows that the following formulas are inconsistent:
% 173.50/27.12  ----------------------------------------------------------------
% 173.50/27.12    (1)   ~ (e3 = e1)
% 173.50/27.12    (2)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 173.50/27.12    (3)  all_58_24 = e2
% 173.50/27.12    (4)  all_58_28 = e3
% 173.50/27.12    (5)  all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0
% 173.50/27.12    (6)   ~ (all_6_2 = e3)
% 173.50/27.12    (7)  all_58_16 = all_6_2
% 173.50/27.12    (8)  all_58_17 = e2
% 173.50/27.12    (9)   ~ (e2 = e0)
% 173.50/27.12  
% 173.50/27.12  Begin of proof
% 173.50/27.12  | 
% 173.50/27.12  | ALPHA: (5) implies:
% 173.50/27.12  |   (10)  all_58_28 = e0
% 173.50/27.12  |   (11)  all_58_24 = e3
% 173.50/27.12  |   (12)  all_58_18 = e3
% 173.50/27.12  | 
% 173.50/27.12  | COMBINE_EQS: (3), (11) imply:
% 173.50/27.12  |   (13)  e3 = e2
% 173.50/27.12  | 
% 173.50/27.12  | COMBINE_EQS: (4), (10) imply:
% 173.50/27.12  |   (14)  e3 = e0
% 173.50/27.12  | 
% 173.50/27.12  | REF_CLOSE: (1), (2), (6), (7), (8), (9), (12), (13), (14) are inconsistent by
% 173.50/27.12  |            sub-proof #458.
% 173.50/27.12  | 
% 173.50/27.12  End of proof
% 173.50/27.12  
% 173.50/27.12  Sub-proof #458 shows that the following formulas are inconsistent:
% 173.50/27.12  ----------------------------------------------------------------
% 173.50/27.12    (1)   ~ (e3 = e1)
% 173.50/27.12    (2)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 173.50/27.12    (3)  all_58_18 = e3
% 173.50/27.12    (4)  e3 = e2
% 173.50/27.12    (5)   ~ (all_6_2 = e3)
% 173.50/27.12    (6)  all_58_16 = all_6_2
% 173.50/27.12    (7)  e3 = e0
% 173.50/27.12    (8)  all_58_17 = e2
% 173.50/27.12    (9)   ~ (e2 = e0)
% 173.50/27.12  
% 173.50/27.12  Begin of proof
% 173.50/27.12  | 
% 173.50/27.12  | COMBINE_EQS: (4), (7) imply:
% 173.50/27.12  |   (10)  e2 = e0
% 173.50/27.12  | 
% 173.50/27.12  | SIMP: (10) implies:
% 173.50/27.12  |   (11)  e2 = e0
% 173.50/27.12  | 
% 173.50/27.12  | COMBINE_EQS: (8), (11) imply:
% 173.50/27.12  |   (12)  all_58_17 = e0
% 173.50/27.12  | 
% 173.50/27.12  | REF_CLOSE: (1), (2), (3), (5), (6), (9), (12) are inconsistent by sub-proof
% 173.50/27.12  |            #461.
% 173.50/27.12  | 
% 173.50/27.12  End of proof
% 173.50/27.12  
% 173.50/27.12  Sub-proof #459 shows that the following formulas are inconsistent:
% 173.50/27.12  ----------------------------------------------------------------
% 173.50/27.12    (1)   ~ (e3 = e1)
% 173.50/27.12    (2)  all_58_20 = e0
% 173.50/27.12    (3)  all_58_16 = e1
% 173.50/27.12    (4)  (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.50/27.12         (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1)
% 173.50/27.12    (5)  all_58_16 = e3 | all_58_17 = e2
% 173.50/27.12    (6)   ~ (e2 = e0)
% 173.50/27.12  
% 173.50/27.12  Begin of proof
% 173.50/27.12  | 
% 173.50/27.12  | BETA: splitting (4) gives:
% 173.50/27.12  | 
% 173.50/27.12  | Case 1:
% 173.50/27.12  | | 
% 173.50/27.12  | |   (7)  all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3
% 173.50/27.12  | | 
% 173.50/27.12  | | ALPHA: (7) implies:
% 173.50/27.12  | |   (8)  all_58_20 = e2
% 173.50/27.12  | |   (9)  all_58_17 = e2
% 173.50/27.12  | | 
% 173.50/27.12  | | COMBINE_EQS: (2), (8) imply:
% 173.50/27.12  | |   (10)  e2 = e0
% 173.50/27.12  | | 
% 173.50/27.12  | | REF_CLOSE: (1), (3), (5), (6), (9), (10) are inconsistent by sub-proof #979.
% 173.50/27.12  | | 
% 173.50/27.12  | Case 2:
% 173.50/27.12  | | 
% 173.50/27.12  | |   (11)  all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1
% 173.50/27.12  | | 
% 173.50/27.12  | | ALPHA: (11) implies:
% 173.50/27.12  | |   (12)  all_58_20 = e2
% 173.50/27.12  | |   (13)  all_58_17 = e2
% 173.50/27.12  | | 
% 173.50/27.12  | | COMBINE_EQS: (2), (12) imply:
% 173.50/27.12  | |   (14)  e2 = e0
% 173.50/27.12  | | 
% 173.50/27.12  | | REF_CLOSE: (1), (3), (5), (6), (13), (14) are inconsistent by sub-proof
% 173.50/27.12  | |            #979.
% 173.50/27.12  | | 
% 173.50/27.12  | End of split
% 173.50/27.12  | 
% 173.50/27.12  End of proof
% 173.50/27.12  
% 173.50/27.12  Sub-proof #460 shows that the following formulas are inconsistent:
% 173.50/27.12  ----------------------------------------------------------------
% 173.50/27.12    (1)   ~ (e3 = e1)
% 173.50/27.12    (2)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 173.50/27.12    (3)  all_58_24 = e2
% 173.50/27.12    (4)  all_58_24 = e3
% 173.50/27.12    (5)  all_58_18 = e0
% 173.50/27.12    (6)  all_58_18 = e3
% 173.50/27.12    (7)   ~ (all_6_2 = e3)
% 173.50/27.12    (8)  all_58_16 = all_6_2
% 173.50/27.12    (9)  all_58_17 = e2
% 173.50/27.12    (10)   ~ (e2 = e0)
% 173.50/27.12  
% 173.50/27.12  Begin of proof
% 173.50/27.12  | 
% 173.50/27.12  | COMBINE_EQS: (5), (6) imply:
% 173.50/27.12  |   (11)  e3 = e0
% 173.50/27.12  | 
% 173.50/27.12  | COMBINE_EQS: (3), (4) imply:
% 173.50/27.12  |   (12)  e3 = e2
% 173.50/27.12  | 
% 173.50/27.12  | COMBINE_EQS: (11), (12) imply:
% 173.50/27.12  |   (13)  e2 = e0
% 173.50/27.12  | 
% 173.50/27.12  | COMBINE_EQS: (9), (13) imply:
% 173.50/27.12  |   (14)  all_58_17 = e0
% 173.50/27.12  | 
% 173.50/27.12  | REF_CLOSE: (1), (2), (6), (7), (8), (10), (14) are inconsistent by sub-proof
% 173.50/27.12  |            #461.
% 173.50/27.12  | 
% 173.50/27.12  End of proof
% 173.50/27.12  
% 173.50/27.12  Sub-proof #461 shows that the following formulas are inconsistent:
% 173.50/27.12  ----------------------------------------------------------------
% 173.50/27.12    (1)   ~ (e3 = e1)
% 173.50/27.12    (2)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 173.50/27.12    (3)  all_58_18 = e3
% 173.50/27.12    (4)   ~ (all_6_2 = e3)
% 173.50/27.12    (5)  all_58_16 = all_6_2
% 173.50/27.12    (6)  all_58_17 = e0
% 173.50/27.12    (7)   ~ (e2 = e0)
% 173.50/27.12  
% 173.50/27.12  Begin of proof
% 173.50/27.12  | 
% 173.50/27.12  | BETA: splitting (2) gives:
% 173.50/27.12  | 
% 173.50/27.12  | Case 1:
% 173.50/27.12  | | 
% 173.50/27.12  | |   (8)  all_58_18 = e1
% 173.50/27.12  | | 
% 173.50/27.12  | | COMBINE_EQS: (3), (8) imply:
% 173.50/27.12  | |   (9)  e3 = e1
% 173.50/27.12  | | 
% 173.50/27.12  | | SIMP: (9) implies:
% 173.50/27.12  | |   (10)  e3 = e1
% 173.50/27.12  | | 
% 173.50/27.12  | | REDUCE: (1), (10) imply:
% 173.50/27.12  | |   (11)  $false
% 173.50/27.12  | | 
% 173.50/27.12  | | CLOSE: (11) is inconsistent.
% 173.50/27.12  | | 
% 173.50/27.12  | Case 2:
% 173.50/27.12  | | 
% 173.50/27.12  | |   (12)  all_58_16 = e3 | all_58_17 = e2
% 173.50/27.12  | | 
% 173.50/27.12  | | REF_CLOSE: (4), (5), (6), (7), (12) are inconsistent by sub-proof #814.
% 173.50/27.12  | | 
% 173.50/27.12  | End of split
% 173.50/27.12  | 
% 173.50/27.12  End of proof
% 173.50/27.12  
% 173.50/27.12  Sub-proof #462 shows that the following formulas are inconsistent:
% 173.50/27.12  ----------------------------------------------------------------
% 173.50/27.12    (1)   ~ (e3 = e1)
% 173.50/27.12    (2)  all_58_16 = e1
% 173.50/27.12    (3)  all_56_1 = e0
% 173.50/27.12    (4)  all_56_1 = e2
% 173.50/27.12    (5)  all_58_17 = e2
% 173.50/27.12    (6)  all_58_16 = e3 | all_58_17 = e2
% 173.50/27.12    (7)   ~ (e2 = e0)
% 173.50/27.12  
% 173.50/27.12  Begin of proof
% 173.50/27.12  | 
% 173.50/27.12  | COMBINE_EQS: (3), (4) imply:
% 173.50/27.12  |   (8)  e2 = e0
% 173.50/27.12  | 
% 173.50/27.12  | COMBINE_EQS: (5), (8) imply:
% 173.50/27.12  |   (9)  all_58_17 = e0
% 173.50/27.12  | 
% 173.50/27.12  | REF_CLOSE: (1), (2), (6), (7), (9) are inconsistent by sub-proof #980.
% 173.50/27.12  | 
% 173.50/27.12  End of proof
% 173.50/27.12  
% 173.50/27.12  Sub-proof #463 shows that the following formulas are inconsistent:
% 173.50/27.12  ----------------------------------------------------------------
% 173.50/27.12    (1)  all_56_8 = e1
% 173.50/27.12    (2)   ~ (e3 = e1)
% 173.50/27.12    (3)   ~ (all_14_2 = e0)
% 173.50/27.12    (4)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 173.50/27.12    (5)  all_58_31 = all_14_2
% 173.50/27.12    (6)  all_56_11 = all_52_14
% 173.50/27.12    (7)   ~ (all_52_14 = e3)
% 173.50/27.12    (8)  all_58_30 = all_52_14
% 173.50/27.12    (9)  all_58_28 = e3
% 173.50/27.12    (10)   ~ (all_52_14 = e1)
% 173.50/27.12    (11)  all_56_8 = e3 | all_56_11 = e3
% 173.50/27.12    (12)  all_58_29 = e0
% 173.50/27.12    (13)   ~ (e2 = e0)
% 173.50/27.12  
% 173.50/27.12  Begin of proof
% 173.50/27.12  | 
% 173.50/27.12  | BETA: splitting (11) gives:
% 173.50/27.12  | 
% 173.50/27.12  | Case 1:
% 173.50/27.12  | | 
% 173.50/27.12  | |   (14)  all_56_8 = e3
% 173.50/27.12  | | 
% 173.50/27.12  | | COMBINE_EQS: (1), (14) imply:
% 173.50/27.12  | |   (15)  e3 = e1
% 173.50/27.12  | | 
% 173.50/27.12  | | COMBINE_EQS: (9), (15) imply:
% 173.50/27.12  | |   (16)  all_58_28 = e1
% 173.50/27.12  | | 
% 173.50/27.12  | | REF_CLOSE: (2), (3), (4), (5), (8), (10), (12), (13), (16) are inconsistent
% 173.50/27.12  | |            by sub-proof #477.
% 173.50/27.12  | | 
% 173.50/27.12  | Case 2:
% 173.50/27.12  | | 
% 173.50/27.12  | |   (17)  all_56_11 = e3
% 173.50/27.12  | | 
% 173.50/27.12  | | COMBINE_EQS: (6), (17) imply:
% 173.50/27.12  | |   (18)  all_52_14 = e3
% 173.50/27.12  | | 
% 173.50/27.12  | | REDUCE: (7), (18) imply:
% 173.50/27.12  | |   (19)  $false
% 173.50/27.12  | | 
% 173.50/27.12  | | CLOSE: (19) is inconsistent.
% 173.50/27.12  | | 
% 173.50/27.12  | End of split
% 173.50/27.12  | 
% 173.50/27.12  End of proof
% 173.50/27.12  
% 173.50/27.12  Sub-proof #464 shows that the following formulas are inconsistent:
% 173.50/27.12  ----------------------------------------------------------------
% 173.50/27.12    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 173.50/27.12    (2)   ~ (all_52_9 = all_4_2)
% 173.50/27.12    (3)  all_54_6 = all_52_9
% 173.50/27.12    (4)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 173.50/27.12    (5)  op(e2, all_52_1) = all_58_4
% 173.50/27.12    (6)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 173.50/27.12    (7)   ~ (all_52_9 = e0)
% 173.50/27.12    (8)   ~ (all_52_12 = e3)
% 173.50/27.12    (9)   ~ (all_52_1 = e3)
% 173.50/27.12    (10)  op(e2, e1) = all_52_9
% 173.50/27.12    (11)   ~ (all_52_9 = all_10_2)
% 173.50/27.12    (12)  all_58_30 = all_52_14
% 173.50/27.12    (13)  all_58_20 = e0
% 173.50/27.12    (14)   ~ (all_52_1 = all_4_2)
% 173.50/27.12    (15)  all_56_2 = all_52_1
% 173.50/27.12    (16)   ~ (e3 = e0)
% 173.50/27.12    (17)   ~ (all_52_6 = all_52_14)
% 173.50/27.12    (18)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 173.50/27.12    (19)  all_54_10 = all_10_2
% 173.50/27.12    (20)  op(all_10_2, e1) = e0
% 173.50/27.12    (21)   ~ (all_52_1 = all_52_9)
% 173.50/27.12    (22)  all_58_22 = all_52_6
% 173.50/27.12    (23)  all_58_29 = e0
% 173.50/27.12    (24)   ~ (all_52_14 = all_10_2)
% 173.50/27.12    (25)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 173.50/27.12    (26)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.50/27.12            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.50/27.12    (27)  all_58_21 = all_4_2
% 173.50/27.12    (28)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 173.50/27.12    (29)   ~ (e2 = e0)
% 173.50/27.12    (30)  all_58_28 = all_52_12
% 173.50/27.12    (31)  all_54_4 = all_52_1
% 173.50/27.12  
% 173.50/27.12  Begin of proof
% 173.50/27.12  | 
% 173.50/27.12  | BETA: splitting (4) gives:
% 173.50/27.12  | 
% 173.50/27.12  | Case 1:
% 173.50/27.12  | | 
% 173.50/27.12  | |   (32)  all_58_30 = e1
% 173.50/27.12  | | 
% 173.50/27.12  | | COMBINE_EQS: (12), (32) imply:
% 173.50/27.12  | |   (33)  all_52_14 = e1
% 173.50/27.12  | | 
% 173.50/27.12  | | SIMP: (33) implies:
% 173.50/27.12  | |   (34)  all_52_14 = e1
% 173.50/27.12  | | 
% 173.50/27.12  | | REDUCE: (17), (34) imply:
% 173.50/27.12  | |   (35)   ~ (all_52_6 = e1)
% 173.50/27.12  | | 
% 173.50/27.12  | | REDUCE: (24), (34) imply:
% 173.50/27.12  | |   (36)   ~ (all_10_2 = e1)
% 173.50/27.12  | | 
% 173.50/27.12  | | SIMP: (36) implies:
% 173.50/27.12  | |   (37)   ~ (all_10_2 = e1)
% 173.50/27.12  | | 
% 173.50/27.12  | | BETA: splitting (1) gives:
% 173.50/27.12  | | 
% 173.50/27.12  | | Case 1:
% 173.50/27.12  | | | 
% 173.50/27.12  | | |   (38)  all_58_22 = e1
% 173.50/27.12  | | | 
% 173.50/27.12  | | | REF_CLOSE: (22), (35), (38) are inconsistent by sub-proof #677.
% 173.50/27.12  | | | 
% 173.50/27.12  | | Case 2:
% 173.50/27.12  | | | 
% 173.50/27.12  | | |   (39)  all_58_20 = e3 | all_58_21 = e2
% 173.50/27.12  | | | 
% 173.50/27.12  | | | BETA: splitting (39) gives:
% 173.50/27.12  | | | 
% 173.50/27.12  | | | Case 1:
% 173.50/27.12  | | | | 
% 173.50/27.12  | | | |   (40)  all_58_21 = e2
% 173.50/27.12  | | | | 
% 173.50/27.12  | | | | COMBINE_EQS: (27), (40) imply:
% 173.50/27.12  | | | |   (41)  all_4_2 = e2
% 173.50/27.12  | | | | 
% 173.50/27.12  | | | | SIMP: (41) implies:
% 173.50/27.12  | | | |   (42)  all_4_2 = e2
% 173.50/27.12  | | | | 
% 173.50/27.12  | | | | REDUCE: (14), (42) imply:
% 173.50/27.12  | | | |   (43)   ~ (all_52_1 = e2)
% 173.50/27.12  | | | | 
% 173.50/27.12  | | | | REDUCE: (2), (42) imply:
% 173.50/27.12  | | | |   (44)   ~ (all_52_9 = e2)
% 173.50/27.12  | | | | 
% 173.50/27.12  | | | | BETA: splitting (28) gives:
% 173.50/27.12  | | | | 
% 173.50/27.12  | | | | Case 1:
% 173.50/27.12  | | | | | 
% 173.50/27.12  | | | | |   (45)  all_56_2 = e1
% 173.50/27.12  | | | | | 
% 173.50/27.12  | | | | | COMBINE_EQS: (15), (45) imply:
% 173.50/27.12  | | | | |   (46)  all_52_1 = e1
% 173.50/27.12  | | | | | 
% 173.50/27.12  | | | | | SIMP: (46) implies:
% 173.50/27.12  | | | | |   (47)  all_52_1 = e1
% 173.50/27.12  | | | | | 
% 173.50/27.12  | | | | | REDUCE: (21), (47) imply:
% 173.50/27.12  | | | | |   (48)   ~ (all_52_9 = e1)
% 173.50/27.12  | | | | | 
% 173.50/27.12  | | | | | SIMP: (48) implies:
% 173.50/27.12  | | | | |   (49)   ~ (all_52_9 = e1)
% 173.50/27.12  | | | | | 
% 173.50/27.12  | | | | | REDUCE: (5), (47) imply:
% 173.50/27.12  | | | | |   (50)  op(e2, e1) = all_58_4
% 173.50/27.12  | | | | | 
% 173.50/27.12  | | | | | BETA: splitting (25) gives:
% 173.50/27.12  | | | | | 
% 173.50/27.12  | | | | | Case 1:
% 173.50/27.12  | | | | | | 
% 173.50/27.12  | | | | | |   (51)  all_54_6 = e1
% 173.50/27.12  | | | | | | 
% 173.50/27.12  | | | | | | REF_CLOSE: (3), (49), (51) are inconsistent by sub-proof #886.
% 173.50/27.12  | | | | | | 
% 173.50/27.12  | | | | | Case 2:
% 173.50/27.12  | | | | | | 
% 173.50/27.12  | | | | | |   (52)  all_54_6 = e3 | all_54_6 = e2
% 173.50/27.12  | | | | | | 
% 173.50/27.12  | | | | | | BETA: splitting (52) gives:
% 173.50/27.12  | | | | | | 
% 173.50/27.12  | | | | | | Case 1:
% 173.50/27.12  | | | | | | | 
% 173.50/27.12  | | | | | | |   (53)  all_54_6 = e2
% 173.50/27.12  | | | | | | | 
% 173.50/27.12  | | | | | | | REF_CLOSE: (3), (44), (53) are inconsistent by sub-proof #885.
% 173.50/27.12  | | | | | | | 
% 173.50/27.12  | | | | | | Case 2:
% 173.50/27.12  | | | | | | | 
% 173.50/27.12  | | | | | | |   (54)  all_54_6 = e3
% 173.50/27.12  | | | | | | | 
% 173.50/27.12  | | | | | | | COMBINE_EQS: (3), (54) imply:
% 173.50/27.12  | | | | | | |   (55)  all_52_9 = e3
% 173.50/27.12  | | | | | | | 
% 173.50/27.12  | | | | | | | SIMP: (55) implies:
% 173.50/27.12  | | | | | | |   (56)  all_52_9 = e3
% 173.50/27.12  | | | | | | | 
% 173.50/27.12  | | | | | | | REDUCE: (11), (56) imply:
% 173.50/27.12  | | | | | | |   (57)   ~ (all_10_2 = e3)
% 173.50/27.12  | | | | | | | 
% 173.50/27.12  | | | | | | | SIMP: (57) implies:
% 173.50/27.12  | | | | | | |   (58)   ~ (all_10_2 = e3)
% 173.50/27.12  | | | | | | | 
% 173.50/27.12  | | | | | | | REDUCE: (10), (56) imply:
% 173.50/27.12  | | | | | | |   (59)  op(e2, e1) = e3
% 173.50/27.12  | | | | | | | 
% 173.50/27.12  | | | | | | | BETA: splitting (18) gives:
% 173.50/27.12  | | | | | | | 
% 173.50/27.12  | | | | | | | Case 1:
% 173.50/27.12  | | | | | | | | 
% 173.50/27.12  | | | | | | | |   (60)  all_54_10 = e1
% 173.50/27.12  | | | | | | | | 
% 173.50/27.12  | | | | | | | | REF_CLOSE: (19), (37), (60) are inconsistent by sub-proof #931.
% 173.50/27.12  | | | | | | | | 
% 173.50/27.12  | | | | | | | Case 2:
% 173.50/27.12  | | | | | | | | 
% 173.50/27.12  | | | | | | | |   (61)  all_54_10 = e3 | all_54_10 = e2
% 173.50/27.12  | | | | | | | | 
% 173.50/27.12  | | | | | | | | BETA: splitting (61) gives:
% 173.50/27.12  | | | | | | | | 
% 173.50/27.12  | | | | | | | | Case 1:
% 173.50/27.12  | | | | | | | | | 
% 173.50/27.12  | | | | | | | | |   (62)  all_54_10 = e2
% 173.50/27.12  | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | COMBINE_EQS: (19), (62) imply:
% 173.50/27.12  | | | | | | | | |   (63)  all_10_2 = e2
% 173.50/27.12  | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | SIMP: (63) implies:
% 173.50/27.12  | | | | | | | | |   (64)  all_10_2 = e2
% 173.50/27.12  | | | | | | | | | 
% 173.50/27.12  | | | | | | | | | REDUCE: (20), (64) imply:
% 173.50/27.12  | | | | | | | | |   (65)  op(e2, e1) = e0
% 173.50/27.12  | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | GROUND_INST: instantiating (26) with e3, all_58_4, e1, e2,
% 173.50/27.13  | | | | | | | | |              simplifying with (50), (59) gives:
% 173.50/27.13  | | | | | | | | |   (66)  all_58_4 = e3
% 173.50/27.13  | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | GROUND_INST: instantiating (26) with e0, all_58_4, e1, e2,
% 173.50/27.13  | | | | | | | | |              simplifying with (50), (65) gives:
% 173.50/27.13  | | | | | | | | |   (67)  all_58_4 = e0
% 173.50/27.13  | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | COMBINE_EQS: (66), (67) imply:
% 173.50/27.13  | | | | | | | | |   (68)  e3 = e0
% 173.50/27.13  | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | SIMP: (68) implies:
% 173.50/27.13  | | | | | | | | |   (69)  e3 = e0
% 173.50/27.13  | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | REDUCE: (16), (69) imply:
% 173.50/27.13  | | | | | | | | |   (70)  $false
% 173.50/27.13  | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | CLOSE: (70) is inconsistent.
% 173.50/27.13  | | | | | | | | | 
% 173.50/27.13  | | | | | | | | Case 2:
% 173.50/27.13  | | | | | | | | | 
% 173.50/27.13  | | | | | | | | |   (71)  all_54_10 = e3
% 173.50/27.13  | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | REF_CLOSE: (19), (58), (71) are inconsistent by sub-proof
% 173.50/27.13  | | | | | | | | |            #637.
% 173.50/27.13  | | | | | | | | | 
% 173.50/27.13  | | | | | | | | End of split
% 173.50/27.13  | | | | | | | | 
% 173.50/27.13  | | | | | | | End of split
% 173.50/27.13  | | | | | | | 
% 173.50/27.13  | | | | | | End of split
% 173.50/27.13  | | | | | | 
% 173.50/27.13  | | | | | End of split
% 173.50/27.13  | | | | | 
% 173.50/27.13  | | | | Case 2:
% 173.50/27.13  | | | | | 
% 173.50/27.13  | | | | |   (72)   ~ (all_56_2 = e1)
% 173.50/27.13  | | | | | 
% 173.50/27.13  | | | | | REF_CLOSE: (6), (9), (15), (31), (43), (72) are inconsistent by
% 173.50/27.13  | | | | |            sub-proof #797.
% 173.50/27.13  | | | | | 
% 173.50/27.13  | | | | End of split
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | Case 2:
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | |   (73)  all_58_20 = e3
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | | COMBINE_EQS: (13), (73) imply:
% 173.50/27.13  | | | |   (74)  e3 = e0
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | | REDUCE: (16), (74) imply:
% 173.50/27.13  | | | |   (75)  $false
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | | CLOSE: (75) is inconsistent.
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | End of split
% 173.50/27.13  | | | 
% 173.50/27.13  | | End of split
% 173.50/27.13  | | 
% 173.50/27.13  | Case 2:
% 173.50/27.13  | | 
% 173.50/27.13  | |   (76)  all_58_28 = e3 | all_58_29 = e2
% 173.50/27.13  | | 
% 173.50/27.13  | | REF_CLOSE: (8), (23), (29), (30), (76) are inconsistent by sub-proof #869.
% 173.50/27.13  | | 
% 173.50/27.13  | End of split
% 173.50/27.13  | 
% 173.50/27.13  End of proof
% 173.50/27.13  
% 173.50/27.13  Sub-proof #465 shows that the following formulas are inconsistent:
% 173.50/27.13  ----------------------------------------------------------------
% 173.50/27.13    (1)  all_56_1 = all_52_4
% 173.50/27.13    (2)   ~ (all_52_4 = e0)
% 173.50/27.13    (3)  all_56_0 = all_6_2
% 173.50/27.13    (4)  all_56_9 = all_52_12
% 173.50/27.13    (5)   ~ (all_52_12 = e0)
% 173.50/27.13    (6)   ~ (all_6_2 = e0)
% 173.50/27.13    (7)  all_56_4 = all_52_8
% 173.50/27.13    (8)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 173.50/27.13    (9)   ~ (all_52_8 = e0)
% 173.50/27.13  
% 173.50/27.13  Begin of proof
% 173.50/27.13  | 
% 173.50/27.13  | BETA: splitting (8) gives:
% 173.50/27.13  | 
% 173.50/27.13  | Case 1:
% 173.50/27.13  | | 
% 173.50/27.13  | |   (10)  all_56_0 = e0
% 173.50/27.13  | | 
% 173.50/27.13  | | COMBINE_EQS: (3), (10) imply:
% 173.50/27.13  | |   (11)  all_6_2 = e0
% 173.50/27.13  | | 
% 173.50/27.13  | | REDUCE: (6), (11) imply:
% 173.50/27.13  | |   (12)  $false
% 173.50/27.13  | | 
% 173.50/27.13  | | CLOSE: (12) is inconsistent.
% 173.50/27.13  | | 
% 173.50/27.13  | Case 2:
% 173.50/27.13  | | 
% 173.50/27.13  | |   (13)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 173.50/27.13  | | 
% 173.50/27.13  | | REF_CLOSE: (1), (2), (4), (5), (7), (9), (13) are inconsistent by sub-proof
% 173.50/27.13  | |            #562.
% 173.50/27.13  | | 
% 173.50/27.13  | End of split
% 173.50/27.13  | 
% 173.50/27.13  End of proof
% 173.50/27.13  
% 173.50/27.13  Sub-proof #466 shows that the following formulas are inconsistent:
% 173.50/27.13  ----------------------------------------------------------------
% 173.50/27.13    (1)  all_58_17 = e2
% 173.50/27.13    (2)  all_58_17 = e1
% 173.50/27.13    (3)   ~ (e2 = e1)
% 173.50/27.13  
% 173.50/27.13  Begin of proof
% 173.50/27.13  | 
% 173.50/27.13  | COMBINE_EQS: (1), (2) imply:
% 173.50/27.13  |   (4)  e2 = e1
% 173.50/27.13  | 
% 173.50/27.13  | SIMP: (4) implies:
% 173.50/27.13  |   (5)  e2 = e1
% 173.50/27.13  | 
% 173.50/27.13  | REDUCE: (3), (5) imply:
% 173.50/27.13  |   (6)  $false
% 173.50/27.13  | 
% 173.50/27.13  | CLOSE: (6) is inconsistent.
% 173.50/27.13  | 
% 173.50/27.13  End of proof
% 173.50/27.13  
% 173.50/27.13  Sub-proof #467 shows that the following formulas are inconsistent:
% 173.50/27.13  ----------------------------------------------------------------
% 173.50/27.13    (1)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 173.50/27.13    (2)  all_56_5 = all_52_9
% 173.50/27.13    (3)  all_56_12 = e1
% 173.50/27.13    (4)  op(all_10_2, e1) = all_10_1
% 173.50/27.13    (5)  op(e1, all_10_2) = all_58_10
% 173.50/27.13    (6)  op(e1, e1) = all_10_2
% 173.50/27.13    (7)  all_54_6 = all_52_9
% 173.50/27.13    (8)  all_58_26 = all_10_2
% 173.50/27.13    (9)   ~ (all_52_9 = all_52_13)
% 173.50/27.13    (10)  all_58_18 = e0
% 173.50/27.13    (11)   ~ (all_52_1 = all_6_2)
% 173.50/27.13    (12)  all_56_0 = all_6_2
% 173.50/27.13    (13)   ~ (all_52_9 = all_10_2)
% 173.50/27.13    (14)  all_58_17 = all_52_1
% 173.50/27.13    (15)  all_58_19 = all_52_3
% 173.50/27.13    (16)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 173.50/27.13    (17)  all_56_4 = e0
% 173.50/27.13    (18)   ~ (e3 = e2)
% 173.50/27.13    (19)   ~ (e2 = e1)
% 173.50/27.13    (20)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 173.50/27.13    (21)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 173.50/27.13    (22)  all_58_16 = all_6_2
% 173.50/27.13    (23)  all_56_2 = all_52_1
% 173.50/27.13    (24)   ~ (e3 = e0)
% 173.50/27.13    (25)   ~ (all_52_1 = all_52_13)
% 173.50/27.13    (26)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 173.50/27.13    (27)   ~ (all_52_1 = all_52_9)
% 173.50/27.13    (28)  all_56_6 = e0
% 173.50/27.13    (29)  all_58_24 = e0
% 173.50/27.13    (30)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 173.50/27.13    (31)  all_58_25 = all_52_9
% 173.50/27.13    (32)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.50/27.13            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.50/27.13    (33)  op(all_10_1, all_10_2) = e0
% 173.50/27.13    (34)   ~ (all_52_3 = e0)
% 173.50/27.13    (35)   ~ (e2 = e0)
% 173.50/27.13    (36)   ~ (e1 = e0)
% 173.50/27.13    (37)  all_54_7 = all_52_13
% 173.50/27.13    (38)   ~ (all_10_1 = e0)
% 173.50/27.13  
% 173.50/27.13  Begin of proof
% 173.50/27.13  | 
% 173.50/27.13  | BETA: splitting (21) gives:
% 173.50/27.13  | 
% 173.50/27.13  | Case 1:
% 173.50/27.13  | | 
% 173.50/27.13  | |   (39)  all_56_0 = e2
% 173.50/27.13  | | 
% 173.50/27.13  | | REF_CLOSE: (1), (10), (11), (12), (14), (15), (18), (22), (34), (36), (39)
% 173.50/27.13  | |            are inconsistent by sub-proof #961.
% 173.50/27.13  | | 
% 173.50/27.13  | Case 2:
% 173.50/27.13  | | 
% 173.50/27.13  | |   (40)  all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 173.50/27.13  | | 
% 173.50/27.13  | | BETA: splitting (40) gives:
% 173.50/27.13  | | 
% 173.50/27.13  | | Case 1:
% 173.50/27.13  | | | 
% 173.50/27.13  | | |   (41)  all_56_2 = e2
% 173.50/27.13  | | | 
% 173.50/27.13  | | | COMBINE_EQS: (23), (41) imply:
% 173.50/27.13  | | |   (42)  all_52_1 = e2
% 173.50/27.13  | | | 
% 173.50/27.13  | | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (13), (16), (17), (20),
% 173.50/27.13  | | |            (24), (25), (26), (27), (29), (30), (31), (32), (33), (37),
% 173.50/27.13  | | |            (38), (42) are inconsistent by sub-proof #468.
% 173.50/27.13  | | | 
% 173.50/27.13  | | Case 2:
% 173.50/27.13  | | | 
% 173.50/27.13  | | |   (43)  all_56_6 = e2 | all_56_12 = e2
% 173.50/27.13  | | | 
% 173.50/27.13  | | | REF_CLOSE: (3), (19), (28), (35), (43) are inconsistent by sub-proof #905.
% 173.50/27.13  | | | 
% 173.50/27.13  | | End of split
% 173.50/27.13  | | 
% 173.50/27.13  | End of split
% 173.50/27.13  | 
% 173.50/27.13  End of proof
% 173.50/27.13  
% 173.50/27.13  Sub-proof #468 shows that the following formulas are inconsistent:
% 173.50/27.13  ----------------------------------------------------------------
% 173.50/27.13    (1)  all_56_5 = all_52_9
% 173.50/27.13    (2)  op(all_10_2, e1) = all_10_1
% 173.50/27.13    (3)  op(e1, all_10_2) = all_58_10
% 173.50/27.13    (4)  op(e1, e1) = all_10_2
% 173.50/27.13    (5)  all_54_6 = all_52_9
% 173.50/27.13    (6)  all_58_26 = all_10_2
% 173.50/27.13    (7)   ~ (all_52_9 = all_52_13)
% 173.50/27.13    (8)   ~ (all_52_9 = all_10_2)
% 173.50/27.13    (9)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 173.50/27.13    (10)  all_56_4 = e0
% 173.50/27.13    (11)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 173.50/27.13    (12)   ~ (e3 = e0)
% 173.50/27.13    (13)   ~ (all_52_1 = all_52_13)
% 173.50/27.13    (14)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 173.50/27.13    (15)   ~ (all_52_1 = all_52_9)
% 173.50/27.13    (16)  all_58_24 = e0
% 173.50/27.13    (17)  all_52_1 = e2
% 173.50/27.13    (18)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 173.50/27.13    (19)  all_58_25 = all_52_9
% 173.50/27.13    (20)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.50/27.13            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.50/27.13    (21)  op(all_10_1, all_10_2) = e0
% 173.50/27.13    (22)  all_54_7 = all_52_13
% 173.50/27.13    (23)   ~ (all_10_1 = e0)
% 173.50/27.13  
% 173.50/27.13  Begin of proof
% 173.50/27.13  | 
% 173.50/27.13  | REDUCE: (15), (17) imply:
% 173.50/27.13  |   (24)   ~ (all_52_9 = e2)
% 173.50/27.13  | 
% 173.50/27.13  | SIMP: (24) implies:
% 173.50/27.13  |   (25)   ~ (all_52_9 = e2)
% 173.50/27.13  | 
% 173.50/27.13  | REDUCE: (13), (17) imply:
% 173.50/27.13  |   (26)   ~ (all_52_13 = e2)
% 173.50/27.13  | 
% 173.50/27.13  | SIMP: (26) implies:
% 173.50/27.13  |   (27)   ~ (all_52_13 = e2)
% 173.50/27.13  | 
% 173.50/27.13  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 173.50/27.13  |            (14), (16), (18), (19), (20), (21), (22), (23), (25), (27) are
% 173.50/27.13  |            inconsistent by sub-proof #483.
% 173.50/27.13  | 
% 173.50/27.13  End of proof
% 173.50/27.13  
% 173.50/27.13  Sub-proof #469 shows that the following formulas are inconsistent:
% 173.50/27.13  ----------------------------------------------------------------
% 173.50/27.13    (1)   ~ (all_52_12 = all_14_2)
% 173.50/27.13    (2)  all_56_1 = all_52_4
% 173.50/27.13    (3)  all_56_12 = all_52_3
% 173.50/27.13    (4)   ~ (all_10_2 = e0)
% 173.50/27.13    (5)   ~ (all_52_8 = all_52_12)
% 173.50/27.13    (6)   ~ (e3 = e1)
% 173.50/27.13    (7)  all_58_23 = all_52_7
% 173.50/27.13    (8)   ~ (all_52_2 = all_6_2)
% 173.50/27.13    (9)   ~ (all_52_4 = all_4_2)
% 173.50/27.13    (10)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 173.50/27.13    (11)   ~ (all_52_12 = all_6_2)
% 173.50/27.13    (12)   ~ (all_52_6 = all_4_2)
% 173.50/27.13    (13)   ~ (all_14_2 = e1)
% 173.50/27.13    (14)  all_56_15 = all_14_2
% 173.50/27.13    (15)  op(e3, all_52_4) = all_58_1
% 173.50/27.13    (16)  all_54_1 = all_52_4
% 173.50/27.13    (17)  op(all_10_2, e1) = all_10_1
% 173.50/27.13    (18)  all_56_8 = all_10_2
% 173.50/27.13    (19)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 173.50/27.13    (20)  all_56_14 = e0
% 173.50/27.13    (21)   ~ (all_52_4 = all_52_6)
% 173.50/27.13    (22)  all_58_31 = all_14_2
% 173.50/27.13    (23)   ~ (all_52_4 = e0)
% 173.50/27.13    (24)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 173.50/27.13    (25)  all_54_2 = all_52_8
% 173.50/27.13    (26)  all_56_11 = all_52_14
% 173.50/27.13    (27)   ~ (all_52_6 = all_52_7)
% 173.50/27.13    (28)  all_56_0 = all_6_2
% 173.50/27.13    (29)  all_58_30 = all_52_14
% 173.50/27.13    (30)  op(e3, e1) = all_52_8
% 173.50/27.13    (31)   ~ (all_22_1 = e2) |  ~ (all_22_2 = e3)
% 173.50/27.13    (32)  all_58_19 = all_52_3
% 173.50/27.13    (33)  all_56_9 = all_52_12
% 173.50/27.13    (34)   ~ (all_52_2 = all_52_6)
% 173.50/27.13    (35)  all_56_2 = e0
% 173.50/27.13    (36)  all_22_1 = all_10_1
% 173.50/27.13    (37)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 173.50/27.13    (38)   ~ (e2 = e1)
% 173.50/27.13    (39)   ~ (all_52_13 = all_14_2)
% 173.50/27.13    (40)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 173.50/27.13    (41)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 173.50/27.13    (42)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 173.50/27.13    (43)  all_58_18 = all_52_2
% 173.50/27.13    (44)  all_58_16 = all_6_2
% 173.50/27.13    (45)  all_56_13 = all_52_7
% 173.50/27.13    (46)   ~ (all_52_4 = all_6_2)
% 173.50/27.13    (47)   ~ (e3 = e0)
% 173.50/27.13    (48)  all_58_29 = all_52_13
% 173.50/27.13    (49)   ~ (all_6_2 = e0)
% 173.50/27.13    (50)   ~ (all_52_7 = all_4_2)
% 173.50/27.13    (51)   ~ (all_52_8 = all_10_2)
% 173.50/27.13    (52)  all_56_4 = all_52_8
% 173.50/27.13    (53)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 173.50/27.13    (54)  all_58_20 = all_52_4
% 173.50/27.13    (55)  all_54_10 = all_10_2
% 173.50/27.13    (56)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 173.50/27.13    (57)  all_58_17 = e0
% 173.50/27.13    (58)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 173.50/27.13    (59)   ~ (all_52_8 = all_6_2)
% 173.50/27.13    (60)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 173.50/27.13    (61)  all_56_6 = all_52_2
% 173.50/27.13    (62)  all_22_2 = all_10_2
% 173.50/27.13    (63)   ~ (all_52_12 = all_52_14)
% 173.50/27.13    (64)  all_58_22 = all_52_6
% 173.50/27.13    (65)   ~ (all_52_14 = all_10_2)
% 173.50/27.13    (66)   ~ (all_52_2 = all_52_3)
% 173.50/27.13    (67)   ~ (all_52_4 = all_52_8)
% 173.50/27.13    (68)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.50/27.13            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.50/27.13    (69)   ~ (all_52_2 = all_52_14)
% 173.50/27.13    (70)  all_58_21 = all_4_2
% 173.50/27.13    (71)  all_56_10 = all_52_13
% 173.50/27.13    (72)   ~ (all_52_3 = e0)
% 173.50/27.13    (73)   ~ (e2 = e0)
% 173.50/27.13    (74)  all_58_28 = all_52_12
% 173.50/27.13    (75)   ~ (e1 = e0)
% 173.50/27.13    (76)  all_56_7 = all_52_6
% 173.50/27.13    (77)   ~ (all_52_8 = e0)
% 173.50/27.13    (78)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 173.50/27.13    (79)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 173.50/27.13  
% 173.50/27.13  Begin of proof
% 173.50/27.13  | 
% 173.50/27.13  | BETA: splitting (60) gives:
% 173.50/27.13  | 
% 173.50/27.13  | Case 1:
% 173.50/27.13  | | 
% 173.50/27.13  | |   (80)  all_56_0 = e0
% 173.50/27.13  | | 
% 173.50/27.13  | | COMBINE_EQS: (28), (80) imply:
% 173.50/27.13  | |   (81)  all_6_2 = e0
% 173.50/27.13  | | 
% 173.50/27.13  | | REDUCE: (49), (81) imply:
% 173.50/27.13  | |   (82)  $false
% 173.50/27.13  | | 
% 173.50/27.13  | | CLOSE: (82) is inconsistent.
% 173.50/27.13  | | 
% 173.50/27.13  | Case 2:
% 173.50/27.13  | | 
% 173.50/27.13  | |   (83)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 173.50/27.13  | | 
% 173.50/27.13  | | BETA: splitting (83) gives:
% 173.50/27.13  | | 
% 173.50/27.13  | | Case 1:
% 173.50/27.13  | | | 
% 173.50/27.13  | | |   (84)  all_56_1 = e0
% 173.50/27.13  | | | 
% 173.50/27.13  | | | COMBINE_EQS: (2), (84) imply:
% 173.50/27.13  | | |   (85)  all_52_4 = e0
% 173.50/27.13  | | | 
% 173.50/27.13  | | | REDUCE: (23), (85) imply:
% 173.50/27.13  | | |   (86)  $false
% 173.50/27.13  | | | 
% 173.50/27.13  | | | CLOSE: (86) is inconsistent.
% 173.50/27.13  | | | 
% 173.50/27.13  | | Case 2:
% 173.50/27.13  | | | 
% 173.50/27.13  | | |   (87)  all_56_4 = e0 | all_56_9 = e0
% 173.50/27.13  | | | 
% 173.50/27.13  | | | BETA: splitting (87) gives:
% 173.50/27.13  | | | 
% 173.50/27.13  | | | Case 1:
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | |   (88)  all_56_4 = e0
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | | COMBINE_EQS: (52), (88) imply:
% 173.50/27.13  | | | |   (89)  all_52_8 = e0
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | | REDUCE: (77), (89) imply:
% 173.50/27.13  | | | |   (90)  $false
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | | CLOSE: (90) is inconsistent.
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | Case 2:
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | |   (91)  all_56_9 = e0
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | | COMBINE_EQS: (33), (91) imply:
% 173.50/27.13  | | | |   (92)  all_52_12 = e0
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | | SIMP: (92) implies:
% 173.50/27.13  | | | |   (93)  all_52_12 = e0
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | | COMBINE_EQS: (74), (93) imply:
% 173.50/27.13  | | | |   (94)  all_58_28 = e0
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | | REDUCE: (63), (93) imply:
% 173.50/27.13  | | | |   (95)   ~ (all_52_14 = e0)
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | | SIMP: (95) implies:
% 173.50/27.13  | | | |   (96)   ~ (all_52_14 = e0)
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | | REDUCE: (1), (93) imply:
% 173.50/27.13  | | | |   (97)   ~ (all_14_2 = e0)
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | | SIMP: (97) implies:
% 173.50/27.13  | | | |   (98)   ~ (all_14_2 = e0)
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | | REDUCE: (11), (93) imply:
% 173.50/27.13  | | | |   (99)   ~ (all_6_2 = e0)
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | | REF_CLOSE: (3), (4), (6), (7), (8), (9), (10), (12), (13), (14), (15),
% 173.50/27.13  | | | |            (16), (17), (18), (19), (20), (21), (22), (24), (25), (26),
% 173.50/27.13  | | | |            (27), (28), (29), (30), (31), (32), (34), (35), (36), (37),
% 173.50/27.13  | | | |            (38), (39), (40), (41), (42), (43), (44), (45), (46), (47),
% 173.50/27.13  | | | |            (48), (49), (50), (51), (52), (53), (54), (55), (56), (57),
% 173.50/27.13  | | | |            (58), (59), (61), (62), (64), (65), (66), (67), (68), (69),
% 173.50/27.13  | | | |            (70), (71), (72), (73), (75), (76), (77), (78), (79), (91),
% 173.50/27.13  | | | |            (94), (96), (98) are inconsistent by sub-proof #470.
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | End of split
% 173.50/27.13  | | | 
% 173.50/27.13  | | End of split
% 173.50/27.13  | | 
% 173.50/27.13  | End of split
% 173.50/27.13  | 
% 173.50/27.13  End of proof
% 173.50/27.13  
% 173.50/27.13  Sub-proof #470 shows that the following formulas are inconsistent:
% 173.50/27.13  ----------------------------------------------------------------
% 173.50/27.13    (1)  all_56_12 = all_52_3
% 173.50/27.13    (2)   ~ (all_10_2 = e0)
% 173.50/27.13    (3)   ~ (e3 = e1)
% 173.50/27.13    (4)  all_58_23 = all_52_7
% 173.50/27.13    (5)   ~ (all_52_2 = all_6_2)
% 173.50/27.13    (6)   ~ (all_52_4 = all_4_2)
% 173.50/27.13    (7)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 173.50/27.13    (8)   ~ (all_52_6 = all_4_2)
% 173.50/27.13    (9)   ~ (all_14_2 = e1)
% 173.50/27.13    (10)  all_56_15 = all_14_2
% 173.50/27.13    (11)  op(e3, all_52_4) = all_58_1
% 173.50/27.13    (12)  all_54_1 = all_52_4
% 173.50/27.13    (13)  op(all_10_2, e1) = all_10_1
% 173.50/27.13    (14)   ~ (all_14_2 = e0)
% 173.50/27.13    (15)  all_56_8 = all_10_2
% 173.50/27.13    (16)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 173.50/27.13    (17)  all_56_14 = e0
% 173.50/27.13    (18)   ~ (all_52_4 = all_52_6)
% 173.50/27.13    (19)  all_58_31 = all_14_2
% 173.50/27.13    (20)  all_56_9 = e0
% 173.50/27.13    (21)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 173.50/27.13    (22)  all_54_2 = all_52_8
% 173.50/27.13    (23)  all_56_11 = all_52_14
% 173.50/27.13    (24)   ~ (all_52_6 = all_52_7)
% 173.50/27.13    (25)  all_56_0 = all_6_2
% 173.50/27.13    (26)  all_58_30 = all_52_14
% 173.50/27.13    (27)  op(e3, e1) = all_52_8
% 173.50/27.13    (28)   ~ (all_22_1 = e2) |  ~ (all_22_2 = e3)
% 173.50/27.13    (29)  all_58_19 = all_52_3
% 173.50/27.13    (30)   ~ (all_52_2 = all_52_6)
% 173.50/27.13    (31)  all_56_2 = e0
% 173.50/27.13    (32)  all_22_1 = all_10_1
% 173.50/27.13    (33)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 173.50/27.13    (34)   ~ (e2 = e1)
% 173.50/27.13    (35)   ~ (all_52_13 = all_14_2)
% 173.50/27.13    (36)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 173.50/27.13    (37)  all_58_28 = e0
% 173.50/27.13    (38)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 173.50/27.13    (39)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 173.50/27.13    (40)  all_58_18 = all_52_2
% 173.50/27.13    (41)  all_58_16 = all_6_2
% 173.50/27.13    (42)  all_56_13 = all_52_7
% 173.50/27.13    (43)   ~ (all_52_4 = all_6_2)
% 173.50/27.13    (44)   ~ (e3 = e0)
% 173.50/27.13    (45)  all_58_29 = all_52_13
% 173.50/27.13    (46)   ~ (all_6_2 = e0)
% 173.50/27.13    (47)   ~ (all_52_7 = all_4_2)
% 173.50/27.13    (48)   ~ (all_52_8 = all_10_2)
% 173.50/27.13    (49)  all_56_4 = all_52_8
% 173.50/27.13    (50)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 173.50/27.13    (51)  all_58_20 = all_52_4
% 173.50/27.13    (52)  all_54_10 = all_10_2
% 173.50/27.13    (53)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 173.50/27.13    (54)  all_58_17 = e0
% 173.50/27.13    (55)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 173.50/27.13    (56)   ~ (all_52_8 = all_6_2)
% 173.50/27.13    (57)  all_56_6 = all_52_2
% 173.50/27.13    (58)  all_22_2 = all_10_2
% 173.50/27.13    (59)  all_58_22 = all_52_6
% 173.50/27.13    (60)   ~ (all_52_14 = all_10_2)
% 173.50/27.13    (61)   ~ (all_52_2 = all_52_3)
% 173.50/27.13    (62)   ~ (all_52_4 = all_52_8)
% 173.50/27.13    (63)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.50/27.13            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.50/27.13    (64)   ~ (all_52_2 = all_52_14)
% 173.50/27.13    (65)  all_58_21 = all_4_2
% 173.50/27.13    (66)  all_56_10 = all_52_13
% 173.50/27.13    (67)   ~ (all_52_3 = e0)
% 173.50/27.13    (68)   ~ (e2 = e0)
% 173.50/27.13    (69)   ~ (all_52_14 = e0)
% 173.50/27.13    (70)   ~ (e1 = e0)
% 173.50/27.13    (71)  all_56_7 = all_52_6
% 173.50/27.13    (72)   ~ (all_52_8 = e0)
% 173.50/27.13    (73)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 173.50/27.13    (74)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 173.50/27.13  
% 173.50/27.13  Begin of proof
% 173.50/27.13  | 
% 173.50/27.13  | BETA: splitting (33) gives:
% 173.50/27.13  | 
% 173.50/27.13  | Case 1:
% 173.50/27.13  | | 
% 173.50/27.13  | |   (75)  all_56_7 = e0
% 173.50/27.13  | | 
% 173.50/27.13  | | COMBINE_EQS: (71), (75) imply:
% 173.50/27.13  | |   (76)  all_52_6 = e0
% 173.50/27.13  | | 
% 173.50/27.13  | | COMBINE_EQS: (59), (76) imply:
% 173.50/27.13  | |   (77)  all_58_22 = e0
% 173.50/27.13  | | 
% 173.50/27.13  | | REDUCE: (30), (76) imply:
% 173.50/27.13  | |   (78)   ~ (all_52_2 = e0)
% 173.50/27.13  | | 
% 173.50/27.13  | | REDUCE: (18), (76) imply:
% 173.50/27.13  | |   (79)   ~ (all_52_4 = e0)
% 173.50/27.13  | | 
% 173.50/27.13  | | REDUCE: (24), (76) imply:
% 173.50/27.13  | |   (80)   ~ (all_52_7 = e0)
% 173.50/27.13  | | 
% 173.50/27.13  | | SIMP: (80) implies:
% 173.50/27.13  | |   (81)   ~ (all_52_7 = e0)
% 173.50/27.13  | | 
% 173.50/27.13  | | REDUCE: (8), (76) imply:
% 173.50/27.13  | |   (82)   ~ (all_4_2 = e0)
% 173.50/27.13  | | 
% 173.50/27.13  | | SIMP: (82) implies:
% 173.50/27.13  | |   (83)   ~ (all_4_2 = e0)
% 173.50/27.13  | | 
% 173.50/27.13  | | BETA: splitting (73) gives:
% 173.50/27.13  | | 
% 173.50/27.13  | | Case 1:
% 173.50/27.13  | | | 
% 173.50/27.13  | | |   (84)  all_56_12 = e1
% 173.50/27.13  | | | 
% 173.50/27.13  | | | COMBINE_EQS: (1), (84) imply:
% 173.50/27.13  | | |   (85)  all_52_3 = e1
% 173.50/27.13  | | | 
% 173.50/27.13  | | | SIMP: (85) implies:
% 173.50/27.13  | | |   (86)  all_52_3 = e1
% 173.50/27.13  | | | 
% 173.50/27.13  | | | COMBINE_EQS: (29), (86) imply:
% 173.50/27.13  | | |   (87)  all_58_19 = e1
% 173.50/27.13  | | | 
% 173.50/27.13  | | | REDUCE: (61), (86) imply:
% 173.50/27.13  | | |   (88)   ~ (all_52_2 = e1)
% 173.50/27.13  | | | 
% 173.50/27.13  | | | BETA: splitting (7) gives:
% 173.50/27.13  | | | 
% 173.50/27.13  | | | Case 1:
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | |   (89)  all_58_19 = e0
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | | COMBINE_EQS: (87), (89) imply:
% 173.50/27.13  | | | |   (90)  e1 = e0
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | | REDUCE: (70), (90) imply:
% 173.50/27.13  | | | |   (91)  $false
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | | CLOSE: (91) is inconsistent.
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | Case 2:
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | |   (92)   ~ (all_58_19 = e0)
% 173.50/27.13  | | | |   (93)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | | BETA: splitting (93) gives:
% 173.50/27.13  | | | | 
% 173.50/27.13  | | | | Case 1:
% 173.50/27.13  | | | | | 
% 173.50/27.13  | | | | |   (94)  all_58_18 = e1
% 173.50/27.13  | | | | | 
% 173.50/27.13  | | | | | REF_CLOSE: (40), (88), (94) are inconsistent by sub-proof #924.
% 173.50/27.13  | | | | | 
% 173.50/27.13  | | | | Case 2:
% 173.50/27.13  | | | | | 
% 173.50/27.13  | | | | |   (95)  all_58_16 = e3 | all_58_17 = e2
% 173.50/27.13  | | | | | 
% 173.50/27.13  | | | | | BETA: splitting (95) gives:
% 173.50/27.13  | | | | | 
% 173.50/27.13  | | | | | Case 1:
% 173.50/27.13  | | | | | | 
% 173.50/27.13  | | | | | |   (96)  all_58_17 = e2
% 173.50/27.13  | | | | | | 
% 173.50/27.13  | | | | | | REF_CLOSE: (54), (68), (96) are inconsistent by sub-proof #981.
% 173.50/27.13  | | | | | | 
% 173.50/27.13  | | | | | Case 2:
% 173.50/27.13  | | | | | | 
% 173.50/27.13  | | | | | |   (97)  all_58_16 = e3
% 173.50/27.13  | | | | | | 
% 173.50/27.13  | | | | | | COMBINE_EQS: (41), (97) imply:
% 173.50/27.13  | | | | | |   (98)  all_6_2 = e3
% 173.50/27.13  | | | | | | 
% 173.50/27.13  | | | | | | REDUCE: (43), (98) imply:
% 173.50/27.13  | | | | | |   (99)   ~ (all_52_4 = e3)
% 173.50/27.13  | | | | | | 
% 173.50/27.13  | | | | | | REDUCE: (56), (98) imply:
% 173.50/27.13  | | | | | |   (100)   ~ (all_52_8 = e3)
% 173.50/27.13  | | | | | | 
% 173.50/27.13  | | | | | | BETA: splitting (55) gives:
% 173.50/27.13  | | | | | | 
% 173.50/27.13  | | | | | | Case 1:
% 173.50/27.13  | | | | | | | 
% 173.50/27.13  | | | | | | |   (101)  all_58_23 = e0
% 173.50/27.13  | | | | | | | 
% 173.50/27.13  | | | | | | | COMBINE_EQS: (4), (101) imply:
% 173.50/27.13  | | | | | | |   (102)  all_52_7 = e0
% 173.50/27.13  | | | | | | | 
% 173.50/27.13  | | | | | | | REDUCE: (81), (102) imply:
% 173.50/27.13  | | | | | | |   (103)  $false
% 173.50/27.13  | | | | | | | 
% 173.50/27.13  | | | | | | | CLOSE: (103) is inconsistent.
% 173.50/27.13  | | | | | | | 
% 173.50/27.13  | | | | | | Case 2:
% 173.50/27.13  | | | | | | | 
% 173.50/27.13  | | | | | | |   (104)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 173.50/27.13  | | | | | | | 
% 173.50/27.13  | | | | | | | BETA: splitting (104) gives:
% 173.50/27.13  | | | | | | | 
% 173.50/27.13  | | | | | | | Case 1:
% 173.50/27.13  | | | | | | | | 
% 173.50/27.13  | | | | | | | |   (105)  all_58_22 = e1
% 173.50/27.13  | | | | | | | | 
% 173.50/27.13  | | | | | | | | REF_CLOSE: (70), (77), (105) are inconsistent by sub-proof #923.
% 173.50/27.13  | | | | | | | | 
% 173.50/27.13  | | | | | | | Case 2:
% 173.50/27.13  | | | | | | | | 
% 173.50/27.13  | | | | | | | |   (106)  all_58_20 = e3 | all_58_21 = e2
% 173.50/27.13  | | | | | | | | 
% 173.50/27.13  | | | | | | | | BETA: splitting (106) gives:
% 173.50/27.13  | | | | | | | | 
% 173.50/27.13  | | | | | | | | Case 1:
% 173.50/27.13  | | | | | | | | | 
% 173.50/27.13  | | | | | | | | |   (107)  all_58_21 = e2
% 173.50/27.13  | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | COMBINE_EQS: (65), (107) imply:
% 173.50/27.13  | | | | | | | | |   (108)  all_4_2 = e2
% 173.50/27.13  | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | REDUCE: (6), (108) imply:
% 173.50/27.13  | | | | | | | | |   (109)   ~ (all_52_4 = e2)
% 173.50/27.13  | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | REDUCE: (47), (108) imply:
% 173.50/27.13  | | | | | | | | |   (110)   ~ (all_52_7 = e2)
% 173.50/27.13  | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | BETA: splitting (74) gives:
% 173.50/27.13  | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | Case 1:
% 173.50/27.13  | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | |   (111)  all_56_12 = e2
% 173.50/27.13  | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | | COMBINE_EQS: (84), (111) imply:
% 173.50/27.13  | | | | | | | | | |   (112)  e2 = e1
% 173.50/27.13  | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | | REDUCE: (34), (112) imply:
% 173.50/27.13  | | | | | | | | | |   (113)  $false
% 173.50/27.13  | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | | CLOSE: (113) is inconsistent.
% 173.50/27.13  | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | Case 2:
% 173.50/27.13  | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | |   (114)  all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 173.50/27.13  | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | | BETA: splitting (38) gives:
% 173.50/27.13  | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | | Case 1:
% 173.50/27.13  | | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | | |   (115)  all_54_1 = e0
% 173.50/27.13  | | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | | | REF_CLOSE: (12), (79), (115) are inconsistent by sub-proof
% 173.50/27.13  | | | | | | | | | | |            #866.
% 173.50/27.13  | | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | | Case 2:
% 173.50/27.13  | | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | | |   (116)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 173.50/27.13  | | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | | | BETA: splitting (114) gives:
% 173.50/27.13  | | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | | | Case 1:
% 173.50/27.13  | | | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | | | |   (117)  all_56_13 = e2
% 173.50/27.13  | | | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | | | | REF_CLOSE: (42), (110), (117) are inconsistent by sub-proof
% 173.50/27.13  | | | | | | | | | | | |            #678.
% 173.50/27.13  | | | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | | | Case 2:
% 173.50/27.13  | | | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | | | |   (118)  all_56_14 = e2 | all_56_15 = e2
% 173.50/27.13  | | | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | | | | BETA: splitting (118) gives:
% 173.50/27.13  | | | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | | | | Case 1:
% 173.50/27.13  | | | | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | | | | |   (119)  all_56_14 = e2
% 173.50/27.13  | | | | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | | | | | COMBINE_EQS: (17), (119) imply:
% 173.50/27.13  | | | | | | | | | | | | |   (120)  e2 = e0
% 173.50/27.13  | | | | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | | | | | COMBINE_EQS: (107), (120) imply:
% 173.50/27.13  | | | | | | | | | | | | |   (121)  all_58_21 = e0
% 173.50/27.13  | | | | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | | | | | REF_CLOSE: (51), (68), (99), (106), (121) are inconsistent by
% 173.50/27.13  | | | | | | | | | | | | |            sub-proof #720.
% 173.50/27.13  | | | | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | | | | Case 2:
% 173.50/27.13  | | | | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | | | | |   (122)  all_56_15 = e2
% 173.50/27.13  | | | | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | | | | | COMBINE_EQS: (10), (122) imply:
% 173.50/27.13  | | | | | | | | | | | | |   (123)  all_14_2 = e2
% 173.50/27.13  | | | | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | | | | | SIMP: (123) implies:
% 173.50/27.13  | | | | | | | | | | | | |   (124)  all_14_2 = e2
% 173.50/27.13  | | | | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | | | | | COMBINE_EQS: (19), (124) imply:
% 173.50/27.13  | | | | | | | | | | | | |   (125)  all_58_31 = e2
% 173.50/27.13  | | | | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | | | | | REDUCE: (35), (124) imply:
% 173.50/27.13  | | | | | | | | | | | | |   (126)   ~ (all_52_13 = e2)
% 173.50/27.13  | | | | | | | | | | | | | 
% 173.50/27.13  | | | | | | | | | | | | | BETA: splitting (116) gives:
% 173.50/27.14  | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | Case 1:
% 173.50/27.14  | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | |   (127)  all_54_1 = e1
% 173.50/27.14  | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | COMBINE_EQS: (12), (127) imply:
% 173.50/27.14  | | | | | | | | | | | | | |   (128)  all_52_4 = e1
% 173.50/27.14  | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | SIMP: (128) implies:
% 173.50/27.14  | | | | | | | | | | | | | |   (129)  all_52_4 = e1
% 173.50/27.14  | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | REDUCE: (62), (129) imply:
% 173.50/27.14  | | | | | | | | | | | | | |   (130)   ~ (all_52_8 = e1)
% 173.50/27.14  | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | SIMP: (130) implies:
% 173.50/27.14  | | | | | | | | | | | | | |   (131)   ~ (all_52_8 = e1)
% 173.50/27.14  | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | REDUCE: (11), (129) imply:
% 173.50/27.14  | | | | | | | | | | | | | |   (132)  op(e3, e1) = all_58_1
% 173.50/27.14  | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | BETA: splitting (53) gives:
% 173.50/27.14  | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | Case 1:
% 173.50/27.14  | | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | |   (133)  all_54_2 = e0
% 173.50/27.14  | | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | | REF_CLOSE: (22), (72), (133) are inconsistent by sub-proof
% 173.50/27.14  | | | | | | | | | | | | | | |            #763.
% 173.50/27.14  | | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | Case 2:
% 173.50/27.14  | | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | |   (134)   ~ (all_54_2 = e0)
% 173.50/27.14  | | | | | | | | | | | | | | |   (135)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1
% 173.50/27.14  | | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | | BETA: splitting (21) gives:
% 173.50/27.14  | | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | | Case 1:
% 173.50/27.14  | | | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | | |   (136)  all_56_4 = e2
% 173.50/27.14  | | | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | | | COMBINE_EQS: (49), (136) imply:
% 173.50/27.14  | | | | | | | | | | | | | | | |   (137)  all_52_8 = e2
% 173.50/27.14  | | | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | | | REDUCE: (48), (137) imply:
% 173.50/27.14  | | | | | | | | | | | | | | | |   (138)   ~ (all_10_2 = e2)
% 173.50/27.14  | | | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | | | SIMP: (138) implies:
% 173.50/27.14  | | | | | | | | | | | | | | | |   (139)   ~ (all_10_2 = e2)
% 173.50/27.14  | | | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | | | REDUCE: (27), (137) imply:
% 173.50/27.14  | | | | | | | | | | | | | | | |   (140)  op(e3, e1) = e2
% 173.50/27.14  | | | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | | | BETA: splitting (16) gives:
% 173.50/27.14  | | | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | | | Case 1:
% 173.50/27.14  | | | | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | | | |   (141)  all_58_31 = e0
% 173.50/27.14  | | | | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | | | | COMBINE_EQS: (125), (141) imply:
% 173.50/27.14  | | | | | | | | | | | | | | | | |   (142)  e2 = e0
% 173.50/27.14  | | | | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | | | | COMBINE_EQS: (107), (142) imply:
% 173.50/27.14  | | | | | | | | | | | | | | | | |   (143)  all_58_21 = e0
% 173.50/27.14  | | | | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (68), (99), (106), (143) are inconsistent by
% 173.50/27.14  | | | | | | | | | | | | | | | | |            sub-proof #720.
% 173.50/27.14  | | | | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | | | Case 2:
% 173.50/27.14  | | | | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | | | |   (144)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 173.50/27.14  | | | | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (26), (28), (32), (37), (44), (45), (50),
% 173.50/27.14  | | | | | | | | | | | | | | | | |            (52), (58), (60), (63), (126), (132), (139),
% 173.50/27.14  | | | | | | | | | | | | | | | | |            (140), (144) are inconsistent by sub-proof #471.
% 173.50/27.14  | | | | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | | | End of split
% 173.50/27.14  | | | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | | Case 2:
% 173.50/27.14  | | | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | | |   (145)   ~ (all_56_4 = e2)
% 173.50/27.14  | | | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | | | REDUCE: (49), (145) imply:
% 173.50/27.14  | | | | | | | | | | | | | | | |   (146)   ~ (all_52_8 = e2)
% 173.50/27.14  | | | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | | | REF_CLOSE: (22), (100), (131), (135), (146) are inconsistent
% 173.50/27.14  | | | | | | | | | | | | | | | |            by sub-proof #690.
% 173.50/27.14  | | | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | | End of split
% 173.50/27.14  | | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | End of split
% 173.50/27.14  | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | Case 2:
% 173.50/27.14  | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | |   (147)  all_54_1 = e3 | all_54_1 = e2
% 173.50/27.14  | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | | REF_CLOSE: (12), (99), (109), (147) are inconsistent by
% 173.50/27.14  | | | | | | | | | | | | | |            sub-proof #863.
% 173.50/27.14  | | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | | End of split
% 173.50/27.14  | | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | | End of split
% 173.50/27.14  | | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | | End of split
% 173.50/27.14  | | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | | End of split
% 173.50/27.14  | | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | End of split
% 173.50/27.14  | | | | | | | | | 
% 173.50/27.14  | | | | | | | | Case 2:
% 173.50/27.14  | | | | | | | | | 
% 173.50/27.14  | | | | | | | | |   (148)  all_58_20 = e3
% 173.50/27.14  | | | | | | | | | 
% 173.50/27.14  | | | | | | | | | COMBINE_EQS: (51), (148) imply:
% 173.50/27.14  | | | | | | | | |   (149)  all_52_4 = e3
% 173.74/27.14  | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | REDUCE: (99), (149) imply:
% 173.74/27.14  | | | | | | | | |   (150)  $false
% 173.74/27.14  | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | CLOSE: (150) is inconsistent.
% 173.74/27.14  | | | | | | | | | 
% 173.74/27.14  | | | | | | | | End of split
% 173.74/27.14  | | | | | | | | 
% 173.74/27.14  | | | | | | | End of split
% 173.74/27.14  | | | | | | | 
% 173.74/27.14  | | | | | | End of split
% 173.74/27.14  | | | | | | 
% 173.74/27.14  | | | | | End of split
% 173.74/27.14  | | | | | 
% 173.74/27.14  | | | | End of split
% 173.74/27.14  | | | | 
% 173.74/27.14  | | | End of split
% 173.74/27.14  | | | 
% 173.74/27.14  | | Case 2:
% 173.74/27.14  | | | 
% 173.74/27.14  | | |   (151)   ~ (all_56_12 = e1)
% 173.74/27.14  | | | 
% 173.74/27.14  | | | REF_CLOSE: (1), (3), (5), (7), (9), (10), (14), (16), (19), (20), (23),
% 173.74/27.14  | | |            (25), (26), (29), (31), (34), (36), (37), (39), (40), (41),
% 173.74/27.14  | | |            (44), (45), (54), (57), (64), (66), (67), (68), (70), (78),
% 173.74/27.14  | | |            (151) are inconsistent by sub-proof #686.
% 173.74/27.14  | | | 
% 173.74/27.14  | | End of split
% 173.74/27.14  | | 
% 173.74/27.14  | Case 2:
% 173.74/27.14  | | 
% 173.74/27.14  | |   (152)  all_56_8 = e0 | all_56_11 = e0
% 173.74/27.14  | | 
% 173.74/27.14  | | REF_CLOSE: (2), (15), (23), (69), (152) are inconsistent by sub-proof #912.
% 173.74/27.14  | | 
% 173.74/27.14  | End of split
% 173.74/27.14  | 
% 173.74/27.14  End of proof
% 173.74/27.14  
% 173.74/27.14  Sub-proof #471 shows that the following formulas are inconsistent:
% 173.74/27.14  ----------------------------------------------------------------
% 173.74/27.14    (1)  op(all_10_2, e1) = all_10_1
% 173.74/27.14    (2)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 173.74/27.14    (3)   ~ (all_10_2 = e2)
% 173.74/27.14    (4)  all_58_30 = all_52_14
% 173.74/27.14    (5)   ~ (all_22_1 = e2) |  ~ (all_22_2 = e3)
% 173.74/27.14    (6)  op(e3, e1) = all_58_1
% 173.74/27.14    (7)  all_22_1 = all_10_1
% 173.74/27.14    (8)  all_58_28 = e0
% 173.74/27.14    (9)   ~ (all_52_13 = e2)
% 173.74/27.14    (10)   ~ (e3 = e0)
% 173.74/27.14    (11)  all_58_29 = all_52_13
% 173.74/27.14    (12)  op(e3, e1) = e2
% 173.74/27.14    (13)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 173.74/27.14    (14)  all_54_10 = all_10_2
% 173.74/27.14    (15)  all_22_2 = all_10_2
% 173.74/27.14    (16)   ~ (all_52_14 = all_10_2)
% 173.74/27.14    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.74/27.14            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.74/27.14  
% 173.74/27.14  Begin of proof
% 173.74/27.14  | 
% 173.74/27.14  | BETA: splitting (2) gives:
% 173.74/27.14  | 
% 173.74/27.14  | Case 1:
% 173.74/27.14  | | 
% 173.74/27.14  | |   (18)  all_58_30 = e1
% 173.74/27.14  | | 
% 173.74/27.14  | | COMBINE_EQS: (4), (18) imply:
% 173.74/27.14  | |   (19)  all_52_14 = e1
% 173.74/27.14  | | 
% 173.74/27.14  | | REDUCE: (16), (19) imply:
% 173.74/27.14  | |   (20)   ~ (all_10_2 = e1)
% 173.74/27.14  | | 
% 173.74/27.14  | | REF_CLOSE: (1), (3), (5), (6), (7), (12), (13), (14), (15), (17), (20) are
% 173.74/27.14  | |            inconsistent by sub-proof #472.
% 173.74/27.14  | | 
% 173.74/27.14  | Case 2:
% 173.74/27.14  | | 
% 173.74/27.14  | |   (21)  all_58_28 = e3 | all_58_29 = e2
% 173.74/27.14  | | 
% 173.74/27.14  | | REF_CLOSE: (8), (9), (10), (11), (21) are inconsistent by sub-proof #844.
% 173.74/27.14  | | 
% 173.74/27.14  | End of split
% 173.74/27.14  | 
% 173.74/27.14  End of proof
% 173.74/27.14  
% 173.74/27.14  Sub-proof #472 shows that the following formulas are inconsistent:
% 173.74/27.14  ----------------------------------------------------------------
% 173.74/27.14    (1)  op(all_10_2, e1) = all_10_1
% 173.74/27.14    (2)   ~ (all_10_2 = e2)
% 173.74/27.14    (3)   ~ (all_22_1 = e2) |  ~ (all_22_2 = e3)
% 173.74/27.14    (4)  op(e3, e1) = all_58_1
% 173.74/27.14    (5)  all_22_1 = all_10_1
% 173.74/27.14    (6)   ~ (all_10_2 = e1)
% 173.74/27.14    (7)  op(e3, e1) = e2
% 173.74/27.14    (8)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 173.74/27.14    (9)  all_54_10 = all_10_2
% 173.74/27.14    (10)  all_22_2 = all_10_2
% 173.74/27.14    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.74/27.14            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.74/27.14  
% 173.74/27.14  Begin of proof
% 173.74/27.14  | 
% 173.74/27.14  | SIMP: (6) implies:
% 173.74/27.14  |   (12)   ~ (all_10_2 = e1)
% 173.74/27.14  | 
% 173.74/27.14  | BETA: splitting (8) gives:
% 173.74/27.14  | 
% 173.74/27.14  | Case 1:
% 173.74/27.14  | | 
% 173.74/27.14  | |   (13)  all_54_10 = e1
% 173.74/27.14  | | 
% 173.74/27.14  | | REF_CLOSE: (9), (12), (13) are inconsistent by sub-proof #931.
% 173.74/27.14  | | 
% 173.74/27.14  | Case 2:
% 173.74/27.14  | | 
% 173.74/27.14  | |   (14)  all_54_10 = e3 | all_54_10 = e2
% 173.74/27.14  | | 
% 173.74/27.14  | | BETA: splitting (14) gives:
% 173.74/27.14  | | 
% 173.74/27.14  | | Case 1:
% 173.74/27.14  | | | 
% 173.74/27.14  | | |   (15)  all_54_10 = e2
% 173.74/27.14  | | | 
% 173.74/27.14  | | | REF_CLOSE: (2), (9), (15) are inconsistent by sub-proof #930.
% 173.74/27.14  | | | 
% 173.74/27.14  | | Case 2:
% 173.74/27.14  | | | 
% 173.74/27.14  | | |   (16)  all_54_10 = e3
% 173.74/27.14  | | | 
% 173.74/27.14  | | | COMBINE_EQS: (9), (16) imply:
% 173.74/27.14  | | |   (17)  all_10_2 = e3
% 173.74/27.14  | | | 
% 173.74/27.14  | | | SIMP: (17) implies:
% 173.74/27.14  | | |   (18)  all_10_2 = e3
% 173.74/27.14  | | | 
% 173.74/27.14  | | | COMBINE_EQS: (10), (18) imply:
% 173.74/27.14  | | |   (19)  all_22_2 = e3
% 173.74/27.14  | | | 
% 173.74/27.14  | | | REDUCE: (1), (18) imply:
% 173.74/27.14  | | |   (20)  op(e3, e1) = all_10_1
% 173.74/27.14  | | | 
% 173.74/27.14  | | | BETA: splitting (3) gives:
% 173.74/27.14  | | | 
% 173.74/27.14  | | | Case 1:
% 173.74/27.14  | | | | 
% 173.74/27.14  | | | |   (21)   ~ (all_22_1 = e2)
% 173.74/27.14  | | | | 
% 173.74/27.14  | | | | REDUCE: (5), (21) imply:
% 173.74/27.14  | | | |   (22)   ~ (all_10_1 = e2)
% 173.74/27.14  | | | | 
% 173.74/27.14  | | | | GROUND_INST: instantiating (11) with all_10_1, all_58_1, e1, e3,
% 173.74/27.14  | | | |              simplifying with (4), (20) gives:
% 173.74/27.14  | | | |   (23)  all_58_1 = all_10_1
% 173.74/27.14  | | | | 
% 173.74/27.14  | | | | GROUND_INST: instantiating (11) with e2, all_58_1, e1, e3, simplifying
% 173.74/27.14  | | | |              with (4), (7) gives:
% 173.74/27.14  | | | |   (24)  all_58_1 = e2
% 173.74/27.14  | | | | 
% 173.74/27.14  | | | | COMBINE_EQS: (23), (24) imply:
% 173.74/27.14  | | | |   (25)  all_10_1 = e2
% 173.74/27.14  | | | | 
% 173.74/27.14  | | | | REDUCE: (22), (25) imply:
% 173.74/27.14  | | | |   (26)  $false
% 173.74/27.14  | | | | 
% 173.74/27.14  | | | | CLOSE: (26) is inconsistent.
% 173.74/27.14  | | | | 
% 173.74/27.14  | | | Case 2:
% 173.74/27.14  | | | | 
% 173.74/27.14  | | | |   (27)   ~ (all_22_2 = e3)
% 173.74/27.14  | | | | 
% 173.74/27.14  | | | | REDUCE: (19), (27) imply:
% 173.74/27.14  | | | |   (28)  $false
% 173.74/27.14  | | | | 
% 173.74/27.14  | | | | CLOSE: (28) is inconsistent.
% 173.74/27.14  | | | | 
% 173.74/27.14  | | | End of split
% 173.74/27.14  | | | 
% 173.74/27.14  | | End of split
% 173.74/27.14  | | 
% 173.74/27.14  | End of split
% 173.74/27.14  | 
% 173.74/27.14  End of proof
% 173.74/27.14  
% 173.74/27.14  Sub-proof #473 shows that the following formulas are inconsistent:
% 173.74/27.14  ----------------------------------------------------------------
% 173.74/27.14    (1)   ~ (e3 = e1)
% 173.74/27.14    (2)  all_58_23 = all_52_7
% 173.74/27.14    (3)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 173.74/27.14    (4)  all_56_5 = all_52_9
% 173.74/27.14    (5)   ~ (all_52_6 = all_4_2)
% 173.74/27.14    (6)   ~ (all_14_2 = e1)
% 173.74/27.14    (7)  all_56_15 = all_14_2
% 173.74/27.14    (8)  op(all_10_2, e1) = all_10_1
% 173.74/27.14    (9)  all_54_6 = all_52_9
% 173.74/27.14    (10)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 173.74/27.14    (11)   ~ (all_52_13 = all_4_2)
% 173.74/27.14    (12)  all_56_8 = all_10_2
% 173.74/27.14    (13)  op(e2, all_52_1) = all_58_4
% 173.74/27.14    (14)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 173.74/27.14    (15)  all_58_31 = all_14_2
% 173.74/27.14    (16)   ~ (all_52_9 = all_52_13)
% 173.74/27.14    (17)  all_58_18 = e0
% 173.74/27.14    (18)   ~ (all_52_1 = all_6_2)
% 173.74/27.14    (19)  all_56_11 = all_52_14
% 173.74/27.14    (20)  op(e2, e1) = all_52_9
% 173.74/27.14    (21)  all_56_0 = all_6_2
% 173.74/27.14    (22)   ~ (all_52_9 = all_10_2)
% 173.74/27.14    (23)  all_58_30 = all_52_14
% 173.74/27.14    (24)  all_58_17 = all_52_1
% 173.74/27.14    (25)  all_58_20 = e0
% 173.74/27.14    (26)  all_58_19 = all_52_3
% 173.74/27.14    (27)  all_56_9 = all_52_12
% 173.74/27.14    (28)   ~ (e2 = e1)
% 173.74/27.14    (29)  all_56_1 = e0
% 173.74/27.14    (30)   ~ (all_52_13 = all_14_2)
% 173.74/27.14    (31)   ~ (all_52_1 = all_4_2)
% 173.74/27.14    (32)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 173.74/27.14    (33)   ~ (all_52_13 = all_52_14)
% 173.74/27.14    (34)  all_38_1 = all_10_1
% 173.74/27.14    (35)  all_58_16 = all_6_2
% 173.74/27.14    (36)   ~ (all_52_12 = e0)
% 173.74/27.14    (37)  all_56_2 = all_52_1
% 173.74/27.14    (38)   ~ (e3 = e0)
% 173.74/27.14    (39)  all_58_29 = all_52_13
% 173.74/27.14    (40)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 173.74/27.14    (41)   ~ (all_52_6 = all_52_14)
% 173.74/27.14    (42)   ~ (all_52_1 = all_52_13)
% 173.74/27.14    (43)  all_38_2 = all_10_2
% 173.74/27.14    (44)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 173.74/27.14    (45)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 173.74/27.14    (46)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 173.74/27.14    (47)   ~ (all_52_1 = all_52_9)
% 173.74/27.14    (48)  all_56_6 = e0
% 173.74/27.14    (49)   ~ (all_52_7 = e0)
% 173.74/27.14    (50)   ~ (all_52_12 = all_52_14)
% 173.74/27.14    (51)  all_58_22 = all_52_6
% 173.74/27.14    (52)   ~ (all_38_1 = e3) |  ~ (all_38_2 = e2)
% 173.74/27.14    (53)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 173.74/27.14    (54)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.74/27.14            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.74/27.14    (55)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 173.74/27.14    (56)  all_58_21 = all_4_2
% 173.74/27.14    (57)  all_56_10 = all_52_13
% 173.74/27.14    (58)   ~ (all_52_3 = e0)
% 173.74/27.14    (59)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 173.74/27.14    (60)   ~ (e2 = e0)
% 173.74/27.14    (61)   ~ (all_52_14 = e0)
% 173.74/27.14    (62)  all_58_28 = all_52_12
% 173.74/27.14    (63)   ~ (e1 = e0)
% 173.74/27.14    (64)  all_54_4 = all_52_1
% 173.74/27.14    (65)  all_56_7 = all_52_6
% 173.74/27.14  
% 173.74/27.14  Begin of proof
% 173.74/27.14  | 
% 173.74/27.14  | BETA: splitting (55) gives:
% 173.74/27.14  | 
% 173.74/27.14  | Case 1:
% 173.74/27.14  | | 
% 173.74/27.14  | |   (66)  all_56_9 = e0
% 173.74/27.14  | | 
% 173.74/27.14  | | REF_CLOSE: (27), (36), (66) are inconsistent by sub-proof #908.
% 173.74/27.14  | | 
% 173.74/27.14  | Case 2:
% 173.74/27.14  | | 
% 173.74/27.14  | |   (67)  all_56_10 = e0 | all_56_11 = e0
% 173.74/27.14  | | 
% 173.74/27.14  | | BETA: splitting (67) gives:
% 173.74/27.14  | | 
% 173.74/27.14  | | Case 1:
% 173.74/27.14  | | | 
% 173.74/27.14  | | |   (68)  all_56_10 = e0
% 173.74/27.14  | | | 
% 173.74/27.14  | | | COMBINE_EQS: (57), (68) imply:
% 173.74/27.14  | | |   (69)  all_52_13 = e0
% 173.74/27.14  | | | 
% 173.74/27.14  | | | SIMP: (69) implies:
% 173.74/27.14  | | |   (70)  all_52_13 = e0
% 173.74/27.14  | | | 
% 173.74/27.14  | | | COMBINE_EQS: (39), (70) imply:
% 173.74/27.14  | | |   (71)  all_58_29 = e0
% 173.74/27.14  | | | 
% 173.74/27.14  | | | REDUCE: (42), (70) imply:
% 173.74/27.14  | | |   (72)   ~ (all_52_1 = e0)
% 173.74/27.14  | | | 
% 173.74/27.14  | | | REDUCE: (16), (70) imply:
% 173.74/27.14  | | |   (73)   ~ (all_52_9 = e0)
% 173.74/27.14  | | | 
% 173.74/27.14  | | | REDUCE: (33), (70) imply:
% 173.74/27.14  | | |   (74)   ~ (all_52_14 = e0)
% 173.74/27.14  | | | 
% 173.74/27.14  | | | REDUCE: (30), (70) imply:
% 173.74/27.14  | | |   (75)   ~ (all_14_2 = e0)
% 173.74/27.14  | | | 
% 173.74/27.14  | | | SIMP: (75) implies:
% 173.74/27.14  | | |   (76)   ~ (all_14_2 = e0)
% 173.74/27.14  | | | 
% 173.74/27.14  | | | REDUCE: (11), (70) imply:
% 173.74/27.14  | | |   (77)   ~ (all_4_2 = e0)
% 173.74/27.14  | | | 
% 173.74/27.14  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13),
% 173.74/27.14  | | |            (14), (15), (17), (18), (19), (20), (21), (22), (23), (24),
% 173.74/27.14  | | |            (25), (26), (27), (28), (29), (31), (32), (34), (35), (37),
% 173.74/27.14  | | |            (38), (40), (41), (43), (44), (45), (46), (47), (48), (49),
% 173.74/27.14  | | |            (50), (51), (52), (53), (54), (56), (58), (59), (60), (61),
% 173.74/27.14  | | |            (62), (63), (64), (65), (68), (71), (72), (73), (76), (77) are
% 173.74/27.14  | | |            inconsistent by sub-proof #474.
% 173.74/27.14  | | | 
% 173.74/27.14  | | Case 2:
% 173.74/27.14  | | | 
% 173.74/27.14  | | |   (78)  all_56_11 = e0
% 173.74/27.14  | | | 
% 173.74/27.14  | | | REF_CLOSE: (19), (61), (78) are inconsistent by sub-proof #873.
% 173.74/27.14  | | | 
% 173.74/27.14  | | End of split
% 173.74/27.14  | | 
% 173.74/27.14  | End of split
% 173.74/27.14  | 
% 173.74/27.14  End of proof
% 173.74/27.14  
% 173.74/27.14  Sub-proof #474 shows that the following formulas are inconsistent:
% 173.74/27.14  ----------------------------------------------------------------
% 173.74/27.14    (1)   ~ (e3 = e1)
% 173.74/27.14    (2)  all_58_23 = all_52_7
% 173.74/27.14    (3)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 173.74/27.14    (4)  all_56_5 = all_52_9
% 173.74/27.14    (5)   ~ (all_52_6 = all_4_2)
% 173.74/27.14    (6)   ~ (all_14_2 = e1)
% 173.74/27.14    (7)  all_56_10 = e0
% 173.74/27.14    (8)  all_56_15 = all_14_2
% 173.74/27.14    (9)  op(all_10_2, e1) = all_10_1
% 173.74/27.14    (10)   ~ (all_14_2 = e0)
% 173.74/27.14    (11)  all_54_6 = all_52_9
% 173.74/27.14    (12)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 173.74/27.14    (13)  all_56_8 = all_10_2
% 173.74/27.14    (14)  op(e2, all_52_1) = all_58_4
% 173.74/27.14    (15)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 173.74/27.14    (16)   ~ (all_52_9 = e0)
% 173.74/27.14    (17)  all_58_31 = all_14_2
% 173.74/27.14    (18)  all_58_18 = e0
% 173.74/27.14    (19)   ~ (all_52_1 = all_6_2)
% 173.74/27.14    (20)  all_56_11 = all_52_14
% 173.74/27.14    (21)  op(e2, e1) = all_52_9
% 173.74/27.14    (22)  all_56_0 = all_6_2
% 173.74/27.14    (23)   ~ (all_52_9 = all_10_2)
% 173.74/27.14    (24)  all_58_30 = all_52_14
% 173.74/27.14    (25)  all_58_17 = all_52_1
% 173.74/27.14    (26)   ~ (all_4_2 = e0)
% 173.74/27.14    (27)  all_58_20 = e0
% 173.74/27.14    (28)  all_58_19 = all_52_3
% 173.74/27.14    (29)  all_56_9 = all_52_12
% 173.74/27.14    (30)   ~ (e2 = e1)
% 173.74/27.14    (31)  all_56_1 = e0
% 173.74/27.14    (32)   ~ (all_52_1 = all_4_2)
% 173.74/27.14    (33)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 173.74/27.14    (34)  all_38_1 = all_10_1
% 173.74/27.14    (35)  all_58_16 = all_6_2
% 173.74/27.14    (36)  all_56_2 = all_52_1
% 173.74/27.14    (37)   ~ (e3 = e0)
% 173.74/27.14    (38)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 173.74/27.14    (39)   ~ (all_52_6 = all_52_14)
% 173.74/27.14    (40)  all_38_2 = all_10_2
% 173.74/27.14    (41)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 173.74/27.14    (42)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 173.74/27.14    (43)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 173.74/27.14    (44)   ~ (all_52_1 = all_52_9)
% 173.74/27.14    (45)  all_56_6 = e0
% 173.74/27.14    (46)   ~ (all_52_7 = e0)
% 173.74/27.14    (47)   ~ (all_52_12 = all_52_14)
% 173.74/27.14    (48)  all_58_22 = all_52_6
% 173.74/27.14    (49)   ~ (all_38_1 = e3) |  ~ (all_38_2 = e2)
% 173.74/27.14    (50)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 173.74/27.14    (51)  all_58_29 = e0
% 173.74/27.14    (52)   ~ (all_52_1 = e0)
% 173.74/27.14    (53)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.74/27.14            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.74/27.14    (54)  all_58_21 = all_4_2
% 173.74/27.14    (55)   ~ (all_52_3 = e0)
% 173.74/27.14    (56)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 173.74/27.14    (57)   ~ (e2 = e0)
% 173.74/27.14    (58)   ~ (all_52_14 = e0)
% 173.74/27.14    (59)  all_58_28 = all_52_12
% 173.74/27.14    (60)   ~ (e1 = e0)
% 173.74/27.14    (61)  all_54_4 = all_52_1
% 173.74/27.14    (62)  all_56_7 = all_52_6
% 173.74/27.14  
% 173.74/27.14  Begin of proof
% 173.74/27.14  | 
% 173.74/27.14  | SIMP: (26) implies:
% 173.74/27.14  |   (63)   ~ (all_4_2 = e0)
% 173.74/27.14  | 
% 173.74/27.14  | BETA: splitting (33) gives:
% 173.74/27.14  | 
% 173.74/27.14  | Case 1:
% 173.74/27.14  | | 
% 173.74/27.14  | |   (64)  all_56_9 = e1
% 173.74/27.14  | | 
% 173.74/27.14  | | REF_CLOSE: (1), (10), (15), (17), (24), (29), (47), (51), (57), (59), (64)
% 173.74/27.14  | |            are inconsistent by sub-proof #476.
% 173.74/27.14  | | 
% 173.74/27.14  | Case 2:
% 173.74/27.14  | | 
% 173.74/27.14  | |   (65)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 173.74/27.14  | | 
% 173.74/27.14  | | BETA: splitting (65) gives:
% 173.74/27.14  | | 
% 173.74/27.14  | | Case 1:
% 173.74/27.14  | | | 
% 173.74/27.14  | | |   (66)  all_56_10 = e1
% 173.74/27.14  | | | 
% 173.74/27.14  | | | COMBINE_EQS: (7), (66) imply:
% 173.74/27.14  | | |   (67)  e1 = e0
% 173.74/27.14  | | | 
% 173.74/27.14  | | | REDUCE: (60), (67) imply:
% 173.74/27.14  | | |   (68)  $false
% 173.74/27.14  | | | 
% 173.74/27.14  | | | CLOSE: (68) is inconsistent.
% 173.74/27.14  | | | 
% 173.74/27.14  | | Case 2:
% 173.74/27.14  | | | 
% 173.74/27.14  | | |   (69)  all_56_11 = e1 | all_56_15 = e1
% 173.74/27.14  | | | 
% 173.74/27.14  | | | BETA: splitting (69) gives:
% 173.74/27.14  | | | 
% 173.74/27.14  | | | Case 1:
% 173.74/27.14  | | | | 
% 173.74/27.14  | | | |   (70)  all_56_11 = e1
% 173.74/27.14  | | | | 
% 173.74/27.14  | | | | COMBINE_EQS: (20), (70) imply:
% 173.74/27.14  | | | |   (71)  all_52_14 = e1
% 173.74/27.14  | | | | 
% 173.74/27.14  | | | | SIMP: (71) implies:
% 173.74/27.14  | | | |   (72)  all_52_14 = e1
% 173.74/27.14  | | | | 
% 173.74/27.14  | | | | REDUCE: (39), (72) imply:
% 173.74/27.14  | | | |   (73)   ~ (all_52_6 = e1)
% 173.74/27.14  | | | | 
% 173.74/27.14  | | | | REDUCE: (47), (72) imply:
% 173.74/27.14  | | | |   (74)   ~ (all_52_12 = e1)
% 173.74/27.14  | | | | 
% 173.74/27.14  | | | | BETA: splitting (41) gives:
% 173.74/27.14  | | | | 
% 173.74/27.14  | | | | Case 1:
% 173.74/27.14  | | | | | 
% 173.74/27.14  | | | | |   (75)  all_58_23 = e0
% 173.74/27.14  | | | | | 
% 173.74/27.14  | | | | | COMBINE_EQS: (2), (75) imply:
% 173.74/27.14  | | | | |   (76)  all_52_7 = e0
% 173.74/27.14  | | | | | 
% 173.74/27.14  | | | | | REDUCE: (46), (76) imply:
% 173.74/27.14  | | | | |   (77)  $false
% 173.74/27.14  | | | | | 
% 173.74/27.14  | | | | | CLOSE: (77) is inconsistent.
% 173.74/27.14  | | | | | 
% 173.74/27.14  | | | | Case 2:
% 173.74/27.14  | | | | | 
% 173.74/27.14  | | | | |   (78)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 173.74/27.14  | | | | | 
% 173.74/27.14  | | | | | BETA: splitting (78) gives:
% 173.74/27.14  | | | | | 
% 173.74/27.14  | | | | | Case 1:
% 173.74/27.14  | | | | | | 
% 173.74/27.14  | | | | | |   (79)  all_58_22 = e1
% 173.74/27.14  | | | | | | 
% 173.74/27.14  | | | | | | COMBINE_EQS: (48), (79) imply:
% 173.74/27.14  | | | | | |   (80)  all_52_6 = e1
% 173.74/27.14  | | | | | | 
% 173.74/27.14  | | | | | | REDUCE: (73), (80) imply:
% 173.74/27.14  | | | | | |   (81)  $false
% 173.74/27.14  | | | | | | 
% 173.74/27.14  | | | | | | CLOSE: (81) is inconsistent.
% 173.74/27.14  | | | | | | 
% 173.74/27.14  | | | | | Case 2:
% 173.74/27.14  | | | | | | 
% 173.74/27.14  | | | | | |   (82)   ~ (all_58_22 = e1)
% 173.74/27.14  | | | | | |   (83)  all_58_20 = e3 | all_58_21 = e2
% 173.74/27.14  | | | | | | 
% 173.74/27.14  | | | | | | BETA: splitting (83) gives:
% 173.74/27.14  | | | | | | 
% 173.74/27.14  | | | | | | Case 1:
% 173.74/27.14  | | | | | | | 
% 173.74/27.14  | | | | | | |   (84)  all_58_21 = e2
% 173.74/27.14  | | | | | | | 
% 173.74/27.14  | | | | | | | COMBINE_EQS: (54), (84) imply:
% 173.74/27.14  | | | | | | |   (85)  all_4_2 = e2
% 173.74/27.14  | | | | | | | 
% 173.74/27.14  | | | | | | | REDUCE: (32), (85) imply:
% 173.74/27.14  | | | | | | |   (86)   ~ (all_52_1 = e2)
% 173.74/27.14  | | | | | | | 
% 173.74/27.14  | | | | | | | REDUCE: (5), (85) imply:
% 173.74/27.14  | | | | | | |   (87)   ~ (all_52_6 = e2)
% 173.74/27.14  | | | | | | | 
% 173.74/27.14  | | | | | | | BETA: splitting (3) gives:
% 173.74/27.14  | | | | | | | 
% 173.74/27.14  | | | | | | | Case 1:
% 173.74/27.14  | | | | | | | | 
% 173.74/27.14  | | | | | | | |   (88)  all_58_19 = e0
% 173.74/27.14  | | | | | | | | 
% 173.74/27.14  | | | | | | | | COMBINE_EQS: (28), (88) imply:
% 173.74/27.14  | | | | | | | |   (89)  all_52_3 = e0
% 173.74/27.14  | | | | | | | | 
% 173.74/27.14  | | | | | | | | REDUCE: (55), (89) imply:
% 173.74/27.14  | | | | | | | |   (90)  $false
% 173.74/27.14  | | | | | | | | 
% 173.74/27.14  | | | | | | | | CLOSE: (90) is inconsistent.
% 173.74/27.14  | | | | | | | | 
% 173.74/27.14  | | | | | | | Case 2:
% 173.74/27.14  | | | | | | | | 
% 173.74/27.14  | | | | | | | |   (91)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 173.74/27.14  | | | | | | | | 
% 173.74/27.14  | | | | | | | | BETA: splitting (91) gives:
% 173.74/27.14  | | | | | | | | 
% 173.74/27.14  | | | | | | | | Case 1:
% 173.74/27.14  | | | | | | | | | 
% 173.74/27.14  | | | | | | | | |   (92)  all_58_18 = e1
% 173.74/27.14  | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | COMBINE_EQS: (18), (92) imply:
% 173.74/27.14  | | | | | | | | |   (93)  e1 = e0
% 173.74/27.14  | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | REDUCE: (60), (93) imply:
% 173.74/27.14  | | | | | | | | |   (94)  $false
% 173.74/27.14  | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | CLOSE: (94) is inconsistent.
% 173.74/27.14  | | | | | | | | | 
% 173.74/27.14  | | | | | | | | Case 2:
% 173.74/27.14  | | | | | | | | | 
% 173.74/27.14  | | | | | | | | |   (95)   ~ (all_58_18 = e1)
% 173.74/27.14  | | | | | | | | |   (96)  all_58_16 = e3 | all_58_17 = e2
% 173.74/27.14  | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | REDUCE: (18), (95) imply:
% 173.74/27.14  | | | | | | | | |   (97)   ~ (e1 = e0)
% 173.74/27.14  | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | BETA: splitting (38) gives:
% 173.74/27.14  | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | Case 1:
% 173.74/27.14  | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | |   (98)  all_56_6 = e2
% 173.74/27.14  | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | COMBINE_EQS: (45), (98) imply:
% 173.74/27.14  | | | | | | | | | |   (99)  e2 = e0
% 173.74/27.14  | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | REDUCE: (57), (99) imply:
% 173.74/27.14  | | | | | | | | | |   (100)  $false
% 173.74/27.14  | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | CLOSE: (100) is inconsistent.
% 173.74/27.14  | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | Case 2:
% 173.74/27.14  | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | |   (101)  all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 173.74/27.14  | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | BETA: splitting (101) gives:
% 173.74/27.14  | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | Case 1:
% 173.74/27.14  | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | |   (102)  all_56_7 = e2
% 173.74/27.14  | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | REF_CLOSE: (62), (87), (102) are inconsistent by sub-proof
% 173.74/27.14  | | | | | | | | | | |            #760.
% 173.74/27.14  | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | Case 2:
% 173.74/27.14  | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | |   (103)  all_56_8 = e2 | all_56_11 = e2
% 173.74/27.14  | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | BETA: splitting (103) gives:
% 173.74/27.14  | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | Case 1:
% 173.74/27.14  | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | |   (104)  all_56_8 = e2
% 173.74/27.14  | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | COMBINE_EQS: (13), (104) imply:
% 173.74/27.14  | | | | | | | | | | | |   (105)  all_10_2 = e2
% 173.74/27.14  | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | SIMP: (105) implies:
% 173.74/27.14  | | | | | | | | | | | |   (106)  all_10_2 = e2
% 173.74/27.14  | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | COMBINE_EQS: (40), (106) imply:
% 173.74/27.14  | | | | | | | | | | | |   (107)  all_38_2 = e2
% 173.74/27.14  | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | REDUCE: (23), (106) imply:
% 173.74/27.14  | | | | | | | | | | | |   (108)   ~ (all_52_9 = e2)
% 173.74/27.14  | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | REDUCE: (9), (106) imply:
% 173.74/27.14  | | | | | | | | | | | |   (109)  op(e2, e1) = all_10_1
% 173.74/27.14  | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | BETA: splitting (96) gives:
% 173.74/27.14  | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | Case 1:
% 173.74/27.14  | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | |   (110)  all_58_17 = e2
% 173.74/27.14  | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | COMBINE_EQS: (25), (110) imply:
% 173.74/27.14  | | | | | | | | | | | | |   (111)  all_52_1 = e2
% 173.74/27.14  | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | REDUCE: (86), (111) imply:
% 173.74/27.14  | | | | | | | | | | | | |   (112)  $false
% 173.74/27.14  | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | CLOSE: (112) is inconsistent.
% 173.74/27.14  | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | Case 2:
% 173.74/27.14  | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | |   (113)  all_58_16 = e3
% 173.74/27.14  | | | | | | | | | | | | |   (114)   ~ (all_58_17 = e2)
% 173.74/27.14  | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | COMBINE_EQS: (35), (113) imply:
% 173.74/27.14  | | | | | | | | | | | | |   (115)  all_6_2 = e3
% 173.74/27.14  | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | COMBINE_EQS: (22), (115) imply:
% 173.74/27.14  | | | | | | | | | | | | |   (116)  all_56_0 = e3
% 173.74/27.14  | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | REDUCE: (19), (115) imply:
% 173.74/27.14  | | | | | | | | | | | | |   (117)   ~ (all_52_1 = e3)
% 173.74/27.14  | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | BETA: splitting (43) gives:
% 173.74/27.14  | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | Case 1:
% 173.74/27.14  | | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | |   (118)  all_54_4 = e0
% 173.74/27.14  | | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | | REF_CLOSE: (52), (61), (118) are inconsistent by sub-proof
% 173.74/27.14  | | | | | | | | | | | | | |            #902.
% 173.74/27.14  | | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | Case 2:
% 173.74/27.14  | | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | |   (119)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 173.74/27.14  | | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | | BETA: splitting (50) gives:
% 173.74/27.14  | | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | | Case 1:
% 173.74/27.14  | | | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | | |   (120)  all_56_0 = e1
% 173.74/27.14  | | | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | | | COMBINE_EQS: (116), (120) imply:
% 173.74/27.14  | | | | | | | | | | | | | | |   (121)  e3 = e1
% 173.74/27.14  | | | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | | | REDUCE: (1), (121) imply:
% 173.74/27.14  | | | | | | | | | | | | | | |   (122)  $false
% 173.74/27.14  | | | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | | | CLOSE: (122) is inconsistent.
% 173.74/27.14  | | | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | | Case 2:
% 173.74/27.14  | | | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | | |   (123)   ~ (all_56_0 = e1)
% 173.74/27.14  | | | | | | | | | | | | | | |   (124)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 173.74/27.14  | | | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | | | BETA: splitting (42) gives:
% 173.74/27.14  | | | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | | | Case 1:
% 173.74/27.14  | | | | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | | | |   (125)  all_56_4 = e3
% 173.74/27.14  | | | | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | | | | REF_CLOSE: (1), (29), (31), (60), (74), (124), (125) are
% 173.74/27.14  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #475.
% 173.74/27.14  | | | | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | | | Case 2:
% 173.74/27.14  | | | | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | | | |   (126)  all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 173.74/27.14  | | | | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | | | | BETA: splitting (126) gives:
% 173.74/27.14  | | | | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | | | | Case 1:
% 173.74/27.14  | | | | | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | | | | |   (127)  all_56_5 = e3
% 173.74/27.14  | | | | | | | | | | | | | | | | | 
% 173.74/27.14  | | | | | | | | | | | | | | | | | COMBINE_EQS: (4), (127) imply:
% 173.74/27.15  | | | | | | | | | | | | | | | | |   (128)  all_52_9 = e3
% 173.74/27.15  | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | REDUCE: (21), (128) imply:
% 173.74/27.15  | | | | | | | | | | | | | | | | |   (129)  op(e2, e1) = e3
% 173.74/27.15  | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | BETA: splitting (56) gives:
% 173.74/27.15  | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | Case 1:
% 173.74/27.15  | | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | |   (130)  all_56_2 = e1
% 173.74/27.15  | | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (36), (130) imply:
% 173.74/27.15  | | | | | | | | | | | | | | | | | |   (131)  all_52_1 = e1
% 173.74/27.15  | | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | | REDUCE: (14), (131) imply:
% 173.74/27.15  | | | | | | | | | | | | | | | | | |   (132)  op(e2, e1) = all_58_4
% 173.74/27.15  | | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | | BETA: splitting (49) gives:
% 173.74/27.15  | | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | | Case 1:
% 173.74/27.15  | | | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | | |   (133)   ~ (all_38_2 = e2)
% 173.74/27.15  | | | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | | | REDUCE: (107), (133) imply:
% 173.74/27.15  | | | | | | | | | | | | | | | | | | |   (134)  $false
% 173.74/27.15  | | | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | | | CLOSE: (134) is inconsistent.
% 173.74/27.15  | | | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | | Case 2:
% 173.74/27.15  | | | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | | |   (135)   ~ (all_38_1 = e3)
% 173.74/27.15  | | | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | | | REDUCE: (34), (135) imply:
% 173.74/27.15  | | | | | | | | | | | | | | | | | | |   (136)   ~ (all_10_1 = e3)
% 173.74/27.15  | | | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (53) with all_10_1, all_58_4, e1,
% 173.74/27.15  | | | | | | | | | | | | | | | | | | |              e2, simplifying with (109), (132) gives:
% 173.74/27.15  | | | | | | | | | | | | | | | | | | |   (137)  all_58_4 = all_10_1
% 173.74/27.15  | | | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (53) with e3, all_58_4, e1, e2,
% 173.74/27.15  | | | | | | | | | | | | | | | | | | |              simplifying with (129), (132) gives:
% 173.74/27.15  | | | | | | | | | | | | | | | | | | |   (138)  all_58_4 = e3
% 173.74/27.15  | | | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (137), (138) imply:
% 173.74/27.15  | | | | | | | | | | | | | | | | | | |   (139)  all_10_1 = e3
% 173.74/27.15  | | | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | | | REDUCE: (136), (139) imply:
% 173.74/27.15  | | | | | | | | | | | | | | | | | | |   (140)  $false
% 173.74/27.15  | | | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | | | CLOSE: (140) is inconsistent.
% 173.74/27.15  | | | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | | End of split
% 173.74/27.15  | | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | Case 2:
% 173.74/27.15  | | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | |   (141)   ~ (all_56_2 = e1)
% 173.74/27.15  | | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (61), (86), (117), (119), (141) are
% 173.74/27.15  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #797.
% 173.74/27.15  | | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | End of split
% 173.74/27.15  | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | Case 2:
% 173.74/27.15  | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | |   (142)   ~ (all_56_5 = e3)
% 173.74/27.15  | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | REDUCE: (4), (142) imply:
% 173.74/27.15  | | | | | | | | | | | | | | | | |   (143)   ~ (all_52_9 = e3)
% 173.74/27.15  | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 173.74/27.15  | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | Case 1:
% 173.74/27.15  | | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | |   (144)  all_54_6 = e0
% 173.74/27.15  | | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (16), (144) are inconsistent by sub-proof
% 173.74/27.15  | | | | | | | | | | | | | | | | | |            #901.
% 173.74/27.15  | | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | Case 2:
% 173.74/27.15  | | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | |   (145)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 173.74/27.15  | | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (44), (61), (86), (108), (117), (119),
% 173.74/27.15  | | | | | | | | | | | | | | | | | |            (143), (145) are inconsistent by sub-proof #879.
% 173.74/27.15  | | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | | End of split
% 173.74/27.15  | | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | | End of split
% 173.74/27.15  | | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | | End of split
% 173.74/27.15  | | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | | End of split
% 173.74/27.15  | | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | | End of split
% 173.74/27.15  | | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | End of split
% 173.74/27.15  | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | Case 2:
% 173.74/27.15  | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | |   (146)  all_56_11 = e2
% 173.74/27.15  | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | COMBINE_EQS: (70), (146) imply:
% 173.74/27.15  | | | | | | | | | | | |   (147)  e2 = e1
% 173.74/27.15  | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | COMBINE_EQS: (84), (147) imply:
% 173.74/27.15  | | | | | | | | | | | |   (148)  all_58_21 = e1
% 173.74/27.15  | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | REF_CLOSE: (27), (30), (37), (48), (73), (78), (148) are
% 173.74/27.15  | | | | | | | | | | | |            inconsistent by sub-proof #896.
% 173.74/27.15  | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | End of split
% 173.74/27.15  | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | End of split
% 173.74/27.15  | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | End of split
% 173.74/27.15  | | | | | | | | | 
% 173.74/27.15  | | | | | | | | End of split
% 173.74/27.15  | | | | | | | | 
% 173.74/27.15  | | | | | | | End of split
% 173.74/27.15  | | | | | | | 
% 173.74/27.15  | | | | | | Case 2:
% 173.74/27.15  | | | | | | | 
% 173.74/27.15  | | | | | | |   (149)  all_58_20 = e3
% 173.74/27.15  | | | | | | | 
% 173.74/27.15  | | | | | | | REF_CLOSE: (27), (37), (149) are inconsistent by sub-proof #948.
% 173.74/27.15  | | | | | | | 
% 173.74/27.15  | | | | | | End of split
% 173.74/27.15  | | | | | | 
% 173.74/27.15  | | | | | End of split
% 173.74/27.15  | | | | | 
% 173.74/27.15  | | | | End of split
% 173.74/27.15  | | | | 
% 173.74/27.15  | | | Case 2:
% 173.74/27.15  | | | | 
% 173.74/27.15  | | | |   (150)  all_56_15 = e1
% 173.74/27.15  | | | | 
% 173.74/27.15  | | | | REF_CLOSE: (6), (8), (150) are inconsistent by sub-proof #876.
% 173.74/27.15  | | | | 
% 173.74/27.15  | | | End of split
% 173.74/27.15  | | | 
% 173.74/27.15  | | End of split
% 173.74/27.15  | | 
% 173.74/27.15  | End of split
% 173.74/27.15  | 
% 173.74/27.15  End of proof
% 173.74/27.15  
% 173.74/27.15  Sub-proof #475 shows that the following formulas are inconsistent:
% 173.74/27.15  ----------------------------------------------------------------
% 173.74/27.15    (1)   ~ (e3 = e1)
% 173.74/27.15    (2)  all_56_4 = e3
% 173.74/27.15    (3)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 173.74/27.15    (4)  all_56_9 = all_52_12
% 173.74/27.15    (5)   ~ (all_52_12 = e1)
% 173.74/27.15    (6)  all_56_1 = e0
% 173.74/27.15    (7)   ~ (e1 = e0)
% 173.74/27.15  
% 173.74/27.15  Begin of proof
% 173.74/27.15  | 
% 173.74/27.15  | BETA: splitting (3) gives:
% 173.74/27.15  | 
% 173.74/27.15  | Case 1:
% 173.74/27.15  | | 
% 173.74/27.15  | |   (8)  all_56_1 = e1
% 173.74/27.15  | | 
% 173.74/27.15  | | COMBINE_EQS: (6), (8) imply:
% 173.74/27.15  | |   (9)  e1 = e0
% 173.74/27.15  | | 
% 173.74/27.15  | | REDUCE: (7), (9) imply:
% 173.74/27.15  | |   (10)  $false
% 173.74/27.15  | | 
% 173.74/27.15  | | CLOSE: (10) is inconsistent.
% 173.74/27.15  | | 
% 173.74/27.15  | Case 2:
% 173.74/27.15  | | 
% 173.74/27.15  | |   (11)  all_56_4 = e1 | all_56_9 = e1
% 173.74/27.15  | | 
% 173.74/27.15  | | REF_CLOSE: (1), (2), (4), (5), (11) are inconsistent by sub-proof #512.
% 173.74/27.15  | | 
% 173.74/27.15  | End of split
% 173.74/27.15  | 
% 173.74/27.15  End of proof
% 173.74/27.15  
% 173.74/27.15  Sub-proof #476 shows that the following formulas are inconsistent:
% 173.74/27.15  ----------------------------------------------------------------
% 173.74/27.15    (1)   ~ (e3 = e1)
% 173.74/27.15    (2)   ~ (all_14_2 = e0)
% 173.74/27.15    (3)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 173.74/27.15    (4)  all_58_31 = all_14_2
% 173.74/27.15    (5)  all_58_30 = all_52_14
% 173.74/27.15    (6)  all_56_9 = all_52_12
% 173.74/27.15    (7)   ~ (all_52_12 = all_52_14)
% 173.74/27.15    (8)  all_58_29 = e0
% 173.74/27.15    (9)   ~ (e2 = e0)
% 173.74/27.15    (10)  all_58_28 = all_52_12
% 173.74/27.15    (11)  all_56_9 = e1
% 173.74/27.15  
% 173.74/27.15  Begin of proof
% 173.74/27.15  | 
% 173.74/27.15  | COMBINE_EQS: (6), (11) imply:
% 173.74/27.15  |   (12)  all_52_12 = e1
% 173.74/27.15  | 
% 173.74/27.15  | SIMP: (12) implies:
% 173.74/27.15  |   (13)  all_52_12 = e1
% 173.74/27.15  | 
% 173.74/27.15  | COMBINE_EQS: (10), (13) imply:
% 173.74/27.15  |   (14)  all_58_28 = e1
% 173.74/27.15  | 
% 173.74/27.15  | REDUCE: (7), (13) imply:
% 173.74/27.15  |   (15)   ~ (all_52_14 = e1)
% 173.74/27.15  | 
% 173.74/27.15  | SIMP: (15) implies:
% 173.74/27.15  |   (16)   ~ (all_52_14 = e1)
% 173.74/27.15  | 
% 173.74/27.15  | REF_CLOSE: (1), (2), (3), (4), (5), (8), (9), (14), (16) are inconsistent by
% 173.74/27.15  |            sub-proof #477.
% 173.74/27.15  | 
% 173.74/27.15  End of proof
% 173.74/27.15  
% 173.74/27.15  Sub-proof #477 shows that the following formulas are inconsistent:
% 173.74/27.15  ----------------------------------------------------------------
% 173.74/27.15    (1)   ~ (e3 = e1)
% 173.74/27.15    (2)   ~ (all_14_2 = e0)
% 173.74/27.15    (3)  all_58_28 = e1
% 173.74/27.15    (4)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 173.74/27.15    (5)  all_58_31 = all_14_2
% 173.74/27.15    (6)  all_58_30 = all_52_14
% 173.74/27.15    (7)   ~ (all_52_14 = e1)
% 173.74/27.15    (8)  all_58_29 = e0
% 173.74/27.15    (9)   ~ (e2 = e0)
% 173.74/27.15  
% 173.74/27.15  Begin of proof
% 173.74/27.15  | 
% 173.74/27.15  | BETA: splitting (4) gives:
% 173.74/27.15  | 
% 173.74/27.15  | Case 1:
% 173.74/27.15  | | 
% 173.74/27.15  | |   (10)  all_58_31 = e0
% 173.74/27.15  | | 
% 173.74/27.15  | | COMBINE_EQS: (5), (10) imply:
% 173.74/27.15  | |   (11)  all_14_2 = e0
% 173.74/27.15  | | 
% 173.74/27.15  | | REDUCE: (2), (11) imply:
% 173.74/27.15  | |   (12)  $false
% 173.74/27.15  | | 
% 173.74/27.15  | | CLOSE: (12) is inconsistent.
% 173.74/27.15  | | 
% 173.74/27.15  | Case 2:
% 173.74/27.15  | | 
% 173.74/27.15  | |   (13)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 173.74/27.15  | | 
% 173.74/27.15  | | BETA: splitting (13) gives:
% 173.74/27.15  | | 
% 173.74/27.15  | | Case 1:
% 173.74/27.15  | | | 
% 173.74/27.15  | | |   (14)  all_58_30 = e1
% 173.74/27.15  | | | 
% 173.74/27.15  | | | COMBINE_EQS: (6), (14) imply:
% 173.74/27.15  | | |   (15)  all_52_14 = e1
% 173.74/27.15  | | | 
% 173.74/27.15  | | | REDUCE: (7), (15) imply:
% 173.74/27.15  | | |   (16)  $false
% 173.74/27.15  | | | 
% 173.74/27.15  | | | CLOSE: (16) is inconsistent.
% 173.74/27.15  | | | 
% 173.74/27.15  | | Case 2:
% 173.74/27.15  | | | 
% 173.74/27.15  | | |   (17)  all_58_28 = e3 | all_58_29 = e2
% 173.74/27.15  | | | 
% 173.74/27.15  | | | BETA: splitting (17) gives:
% 173.74/27.15  | | | 
% 173.74/27.15  | | | Case 1:
% 173.74/27.15  | | | | 
% 173.74/27.15  | | | |   (18)  all_58_29 = e2
% 173.74/27.15  | | | | 
% 173.74/27.15  | | | | REF_CLOSE: (8), (9), (18) are inconsistent by sub-proof #889.
% 173.74/27.15  | | | | 
% 173.74/27.15  | | | Case 2:
% 173.74/27.15  | | | | 
% 173.74/27.15  | | | |   (19)  all_58_28 = e3
% 173.74/27.15  | | | | 
% 173.74/27.15  | | | | REF_CLOSE: (1), (3), (19) are inconsistent by sub-proof #837.
% 173.74/27.15  | | | | 
% 173.74/27.15  | | | End of split
% 173.74/27.15  | | | 
% 173.74/27.15  | | End of split
% 173.74/27.15  | | 
% 173.74/27.15  | End of split
% 173.74/27.15  | 
% 173.74/27.15  End of proof
% 173.74/27.15  
% 173.74/27.15  Sub-proof #478 shows that the following formulas are inconsistent:
% 173.74/27.15  ----------------------------------------------------------------
% 173.74/27.15    (1)  all_56_1 = all_52_4
% 173.74/27.15    (2)  all_56_12 = all_52_3
% 173.74/27.15    (3)  all_58_23 = all_52_7
% 173.74/27.15    (4)   ~ (all_52_4 = all_4_2)
% 173.74/27.15    (5)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 173.74/27.15    (6)  all_56_5 = all_52_9
% 173.74/27.15    (7)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 173.74/27.15    (8)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 173.74/27.15    (9)   ~ (all_52_6 = all_4_2)
% 173.74/27.15    (10)  op(all_10_2, e1) = all_10_1
% 173.74/27.15    (11)  op(e1, all_10_2) = all_58_10
% 173.74/27.15    (12)   ~ (all_52_9 = all_4_2)
% 173.74/27.15    (13)  op(e1, e1) = all_10_2
% 173.74/27.15    (14)  all_58_26 = all_10_2
% 173.74/27.15    (15)   ~ (all_52_4 = all_52_6)
% 173.74/27.15    (16)   ~ (all_52_1 = all_6_2)
% 173.74/27.15    (17)   ~ (all_4_1 = e0)
% 173.74/27.15    (18)  all_56_0 = all_6_2
% 173.74/27.15    (19)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 173.74/27.15    (20)  all_58_27 = all_52_11
% 173.74/27.15    (21)  op(e3, e2) = all_52_4
% 173.74/27.15    (22)  op(all_4_2, e2) = all_4_1
% 173.74/27.15    (23)  all_58_17 = all_52_1
% 173.74/27.15    (24)  all_58_19 = all_52_3
% 173.74/27.15    (25)   ~ (all_52_2 = all_52_6)
% 173.74/27.15    (26)   ~ (e3 = e2)
% 173.74/27.15    (27)   ~ (all_52_4 = all_52_7)
% 173.74/27.15    (28)   ~ (all_52_6 = all_10_2)
% 173.74/27.15    (29)   ~ (all_52_1 = all_4_2)
% 173.74/27.15    (30)  all_54_9 = all_52_6
% 173.74/27.15    (31)  all_58_18 = all_52_2
% 173.74/27.15    (32)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 173.74/27.15    (33)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 173.74/27.15    (34)  all_58_16 = all_6_2
% 173.74/27.15    (35)  all_56_13 = all_52_7
% 173.74/27.15    (36)  all_56_2 = all_52_1
% 173.74/27.15    (37)   ~ (e3 = e0)
% 173.74/27.15    (38)   ~ (all_52_13 = e0)
% 173.74/27.15    (39)   ~ (all_4_2 = e0)
% 173.74/27.15    (40)   ~ (all_6_2 = e0)
% 173.74/27.15    (41)  all_58_20 = all_52_4
% 173.74/27.15    (42)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 173.74/27.15    (43)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 173.74/27.15    (44)   ~ (all_52_8 = all_6_2)
% 173.74/27.15    (45)  all_56_6 = all_52_2
% 173.74/27.15    (46)   ~ (all_52_1 = all_52_9)
% 173.74/27.15    (47)   ~ (all_52_7 = e0)
% 173.74/27.15    (48)  all_58_24 = all_52_8
% 173.74/27.15    (49)   ~ (all_52_9 = all_52_11)
% 173.74/27.15    (50)  all_58_22 = all_52_6
% 173.74/27.15    (51)  all_56_3 = all_4_2
% 173.74/27.15    (52)   ~ (all_52_2 = all_52_3)
% 173.74/27.15    (53)  all_58_25 = all_52_9
% 173.74/27.15    (54)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 173.74/27.15    (55)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.74/27.15            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.74/27.15    (56)  all_58_21 = all_4_2
% 173.74/27.15    (57)  all_56_10 = all_52_13
% 173.74/27.15    (58)  op(all_10_1, all_10_2) = e0
% 173.74/27.15    (59)   ~ (all_52_3 = e0)
% 173.74/27.15    (60)   ~ (e2 = e0)
% 173.74/27.15    (61)   ~ (all_52_1 = all_52_3)
% 173.74/27.15    (62)   ~ (e1 = e0)
% 173.74/27.15    (63)  all_56_7 = all_52_6
% 173.74/27.15    (64)  all_54_5 = all_4_2
% 173.74/27.15    (65)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 173.74/27.15    (66)   ~ (all_10_1 = e0)
% 173.74/27.15    (67)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 173.74/27.15  
% 173.74/27.15  Begin of proof
% 173.74/27.15  | 
% 173.74/27.15  | BETA: splitting (7) gives:
% 173.74/27.15  | 
% 173.74/27.15  | Case 1:
% 173.74/27.15  | | 
% 173.74/27.15  | |   (68)  all_56_3 = e0
% 173.74/27.15  | | 
% 173.74/27.15  | | COMBINE_EQS: (51), (68) imply:
% 173.74/27.15  | |   (69)  all_4_2 = e0
% 173.74/27.15  | | 
% 173.74/27.15  | | REDUCE: (39), (69) imply:
% 173.74/27.15  | |   (70)  $false
% 173.74/27.15  | | 
% 173.74/27.15  | | CLOSE: (70) is inconsistent.
% 173.74/27.15  | | 
% 173.74/27.15  | Case 2:
% 173.74/27.15  | | 
% 173.74/27.15  | |   (71)  all_56_5 = e0 | all_56_10 = e0
% 173.74/27.15  | | 
% 173.74/27.15  | | BETA: splitting (71) gives:
% 173.74/27.15  | | 
% 173.74/27.15  | | Case 1:
% 173.74/27.15  | | | 
% 173.74/27.15  | | |   (72)  all_56_5 = e0
% 173.74/27.15  | | | 
% 173.74/27.15  | | | COMBINE_EQS: (6), (72) imply:
% 173.74/27.15  | | |   (73)  all_52_9 = e0
% 173.74/27.15  | | | 
% 173.74/27.15  | | | COMBINE_EQS: (53), (73) imply:
% 173.74/27.15  | | |   (74)  all_58_25 = e0
% 173.74/27.15  | | | 
% 173.74/27.15  | | | REDUCE: (46), (73) imply:
% 173.74/27.15  | | |   (75)   ~ (all_52_1 = e0)
% 173.74/27.15  | | | 
% 173.74/27.15  | | | REDUCE: (49), (73) imply:
% 173.74/27.15  | | |   (76)   ~ (all_52_11 = e0)
% 173.74/27.15  | | | 
% 173.74/27.15  | | | SIMP: (76) implies:
% 173.74/27.15  | | |   (77)   ~ (all_52_11 = e0)
% 173.74/27.15  | | | 
% 173.74/27.15  | | | REDUCE: (12), (73) imply:
% 173.74/27.15  | | |   (78)   ~ (all_4_2 = e0)
% 173.74/27.15  | | | 
% 173.74/27.15  | | | BETA: splitting (42) gives:
% 173.74/27.15  | | | 
% 173.74/27.15  | | | Case 1:
% 173.74/27.15  | | | | 
% 173.74/27.15  | | | |   (79)  all_56_0 = e0
% 173.74/27.15  | | | | 
% 173.74/27.15  | | | | REF_CLOSE: (18), (40), (79) are inconsistent by sub-proof #939.
% 173.74/27.15  | | | | 
% 173.74/27.15  | | | Case 2:
% 173.74/27.15  | | | | 
% 173.74/27.15  | | | |   (80)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 173.74/27.15  | | | | 
% 173.74/27.15  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (8), (9), (10), (11), (13), (14),
% 173.74/27.15  | | | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 173.74/27.15  | | | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 173.74/27.15  | | | |            (35), (36), (37), (39), (41), (43), (44), (45), (47), (48),
% 173.74/27.15  | | | |            (50), (51), (52), (54), (55), (56), (58), (59), (60), (61),
% 173.74/27.15  | | | |            (62), (63), (64), (65), (66), (67), (74), (75), (77), (80)
% 173.74/27.15  | | | |            are inconsistent by sub-proof #479.
% 173.74/27.15  | | | | 
% 173.74/27.15  | | | End of split
% 173.74/27.15  | | | 
% 173.74/27.15  | | Case 2:
% 173.74/27.15  | | | 
% 173.74/27.15  | | |   (81)  all_56_10 = e0
% 173.74/27.15  | | | 
% 173.74/27.15  | | | REF_CLOSE: (38), (57), (81) are inconsistent by sub-proof #943.
% 173.74/27.15  | | | 
% 173.74/27.15  | | End of split
% 173.74/27.15  | | 
% 173.74/27.15  | End of split
% 173.74/27.15  | 
% 173.74/27.15  End of proof
% 173.74/27.15  
% 173.74/27.15  Sub-proof #479 shows that the following formulas are inconsistent:
% 173.74/27.15  ----------------------------------------------------------------
% 173.74/27.15    (1)  all_56_1 = all_52_4
% 173.74/27.15    (2)  all_56_12 = all_52_3
% 173.74/27.15    (3)  all_58_23 = all_52_7
% 173.74/27.15    (4)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 173.74/27.15    (5)   ~ (all_52_4 = all_4_2)
% 173.74/27.15    (6)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 173.74/27.15    (7)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 173.74/27.15    (8)   ~ (all_52_6 = all_4_2)
% 173.74/27.15    (9)  op(all_10_2, e1) = all_10_1
% 173.74/27.15    (10)  op(e1, all_10_2) = all_58_10
% 173.74/27.15    (11)  op(e1, e1) = all_10_2
% 173.74/27.15    (12)  all_58_26 = all_10_2
% 173.74/27.15    (13)   ~ (all_52_4 = all_52_6)
% 173.74/27.15    (14)  all_58_25 = e0
% 173.74/27.15    (15)   ~ (all_52_1 = all_6_2)
% 173.74/27.15    (16)   ~ (all_4_1 = e0)
% 173.74/27.15    (17)  all_56_0 = all_6_2
% 173.74/27.15    (18)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 173.74/27.15    (19)  all_58_27 = all_52_11
% 173.74/27.15    (20)  op(e3, e2) = all_52_4
% 173.74/27.15    (21)  op(all_4_2, e2) = all_4_1
% 173.74/27.15    (22)  all_58_17 = all_52_1
% 173.74/27.15    (23)  all_58_19 = all_52_3
% 173.74/27.15    (24)   ~ (all_52_2 = all_52_6)
% 173.74/27.15    (25)   ~ (e3 = e2)
% 173.74/27.15    (26)   ~ (all_52_4 = all_52_7)
% 173.74/27.15    (27)   ~ (all_52_6 = all_10_2)
% 173.74/27.15    (28)   ~ (all_52_1 = all_4_2)
% 173.74/27.15    (29)  all_54_9 = all_52_6
% 173.74/27.15    (30)  all_58_18 = all_52_2
% 173.74/27.15    (31)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 173.74/27.15    (32)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 173.74/27.15    (33)  all_58_16 = all_6_2
% 173.74/27.15    (34)  all_56_13 = all_52_7
% 173.74/27.15    (35)  all_56_2 = all_52_1
% 173.74/27.15    (36)   ~ (e3 = e0)
% 173.74/27.15    (37)   ~ (all_4_2 = e0)
% 173.74/27.15    (38)  all_58_20 = all_52_4
% 173.74/27.15    (39)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 173.74/27.15    (40)   ~ (all_52_8 = all_6_2)
% 173.74/27.15    (41)  all_56_6 = all_52_2
% 173.74/27.15    (42)   ~ (all_52_7 = e0)
% 173.74/27.15    (43)  all_58_24 = all_52_8
% 173.74/27.15    (44)  all_58_22 = all_52_6
% 173.74/27.15    (45)  all_56_3 = all_4_2
% 173.74/27.15    (46)   ~ (all_52_11 = e0)
% 173.74/27.15    (47)   ~ (all_52_1 = e0)
% 173.74/27.15    (48)   ~ (all_52_2 = all_52_3)
% 173.74/27.15    (49)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 173.74/27.15    (50)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.74/27.15            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.74/27.15    (51)  all_58_21 = all_4_2
% 173.74/27.15    (52)  op(all_10_1, all_10_2) = e0
% 173.74/27.15    (53)   ~ (all_52_3 = e0)
% 173.74/27.15    (54)   ~ (e2 = e0)
% 173.74/27.15    (55)   ~ (all_52_1 = all_52_3)
% 173.74/27.15    (56)   ~ (e1 = e0)
% 173.74/27.15    (57)  all_56_7 = all_52_6
% 173.74/27.15    (58)  all_54_5 = all_4_2
% 173.74/27.15    (59)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 173.74/27.15    (60)   ~ (all_10_1 = e0)
% 173.74/27.15    (61)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 173.74/27.15  
% 173.74/27.15  Begin of proof
% 173.74/27.15  | 
% 173.74/27.15  | BETA: splitting (4) gives:
% 173.74/27.15  | 
% 173.74/27.15  | Case 1:
% 173.74/27.15  | | 
% 173.74/27.15  | |   (62)  all_56_2 = e0
% 173.74/27.15  | | 
% 173.74/27.15  | | COMBINE_EQS: (35), (62) imply:
% 173.74/27.15  | |   (63)  all_52_1 = e0
% 173.74/27.15  | | 
% 173.74/27.15  | | REDUCE: (47), (63) imply:
% 173.74/27.15  | |   (64)  $false
% 173.74/27.15  | | 
% 173.74/27.15  | | CLOSE: (64) is inconsistent.
% 173.74/27.15  | | 
% 173.74/27.15  | Case 2:
% 173.74/27.15  | | 
% 173.74/27.15  | |   (65)  all_56_6 = e0 | all_56_12 = e0
% 173.74/27.15  | | 
% 173.74/27.15  | | BETA: splitting (65) gives:
% 173.74/27.15  | | 
% 173.74/27.15  | | Case 1:
% 173.74/27.15  | | | 
% 173.74/27.15  | | |   (66)  all_56_6 = e0
% 173.74/27.15  | | | 
% 173.74/27.15  | | | COMBINE_EQS: (41), (66) imply:
% 173.74/27.15  | | |   (67)  all_52_2 = e0
% 173.74/27.15  | | | 
% 173.74/27.15  | | | COMBINE_EQS: (30), (67) imply:
% 173.74/27.15  | | |   (68)  all_58_18 = e0
% 173.74/27.15  | | | 
% 173.74/27.15  | | | REDUCE: (48), (67) imply:
% 173.74/27.15  | | |   (69)   ~ (all_52_3 = e0)
% 173.74/27.15  | | | 
% 173.74/27.15  | | | REDUCE: (24), (67) imply:
% 173.74/27.15  | | |   (70)   ~ (all_52_6 = e0)
% 173.74/27.15  | | | 
% 173.74/27.15  | | | SIMP: (70) implies:
% 173.74/27.15  | | |   (71)   ~ (all_52_6 = e0)
% 173.74/27.15  | | | 
% 173.74/27.15  | | | BETA: splitting (32) gives:
% 173.74/27.15  | | | 
% 173.74/27.15  | | | Case 1:
% 173.74/27.15  | | | | 
% 173.74/27.15  | | | |   (72)  all_56_1 = e0
% 173.74/27.15  | | | | 
% 173.74/27.15  | | | | COMBINE_EQS: (1), (72) imply:
% 173.74/27.15  | | | |   (73)  all_52_4 = e0
% 173.74/27.15  | | | | 
% 173.74/27.15  | | | | SIMP: (73) implies:
% 173.74/27.15  | | | |   (74)  all_52_4 = e0
% 173.74/27.15  | | | | 
% 173.74/27.15  | | | | COMBINE_EQS: (38), (74) imply:
% 173.74/27.15  | | | |   (75)  all_58_20 = e0
% 173.74/27.15  | | | | 
% 173.74/27.15  | | | | REDUCE: (26), (74) imply:
% 173.74/27.15  | | | |   (76)   ~ (all_52_7 = e0)
% 173.74/27.15  | | | | 
% 173.74/27.15  | | | | REDUCE: (5), (74) imply:
% 173.74/27.15  | | | |   (77)   ~ (all_4_2 = e0)
% 173.74/27.15  | | | | 
% 173.74/27.15  | | | | REDUCE: (20), (74) imply:
% 173.74/27.15  | | | |   (78)  op(e3, e2) = e0
% 173.74/27.15  | | | | 
% 173.74/27.15  | | | | BETA: splitting (7) gives:
% 173.74/27.15  | | | | 
% 173.74/27.15  | | | | Case 1:
% 173.74/27.15  | | | | | 
% 173.74/27.15  | | | | |   (79)  all_54_5 = e0
% 173.74/27.15  | | | | | 
% 173.74/27.15  | | | | | REF_CLOSE: (37), (58), (79) are inconsistent by sub-proof #983.
% 173.74/27.15  | | | | | 
% 173.74/27.15  | | | | Case 2:
% 173.74/27.15  | | | | | 
% 173.74/27.15  | | | | |   (80)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 173.74/27.15  | | | | | 
% 173.74/27.15  | | | | | BETA: splitting (49) gives:
% 173.74/27.15  | | | | | 
% 173.74/27.15  | | | | | Case 1:
% 173.74/27.15  | | | | | | 
% 173.74/27.15  | | | | | |   (81)  all_54_9 = e0
% 173.74/27.15  | | | | | | 
% 173.74/27.15  | | | | | | REF_CLOSE: (29), (71), (81) are inconsistent by sub-proof #903.
% 173.74/27.15  | | | | | | 
% 173.74/27.15  | | | | | Case 2:
% 173.74/27.15  | | | | | | 
% 173.74/27.15  | | | | | |   (82)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 173.74/27.15  | | | | | | 
% 173.74/27.15  | | | | | | BETA: splitting (18) gives:
% 173.74/27.15  | | | | | | 
% 173.74/27.15  | | | | | | Case 1:
% 173.74/27.15  | | | | | | | 
% 173.74/27.15  | | | | | | |   (83)  all_58_27 = e0
% 173.74/27.15  | | | | | | | 
% 173.74/27.15  | | | | | | | COMBINE_EQS: (19), (83) imply:
% 173.74/27.15  | | | | | | |   (84)  all_52_11 = e0
% 173.74/27.15  | | | | | | | 
% 173.74/27.15  | | | | | | | REDUCE: (46), (84) imply:
% 173.74/27.15  | | | | | | |   (85)  $false
% 173.74/27.15  | | | | | | | 
% 173.74/27.15  | | | | | | | CLOSE: (85) is inconsistent.
% 173.74/27.15  | | | | | | | 
% 173.74/27.15  | | | | | | Case 2:
% 173.74/27.15  | | | | | | | 
% 173.74/27.15  | | | | | | |   (86)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 173.74/27.15  | | | | | | | 
% 173.74/27.15  | | | | | | | BETA: splitting (6) gives:
% 173.74/27.15  | | | | | | | 
% 173.74/27.15  | | | | | | | Case 1:
% 173.74/27.15  | | | | | | | | 
% 173.74/27.15  | | | | | | | |   (87)  all_58_19 = e0
% 173.74/27.15  | | | | | | | | 
% 173.74/27.15  | | | | | | | | COMBINE_EQS: (23), (87) imply:
% 173.74/27.15  | | | | | | | |   (88)  all_52_3 = e0
% 173.74/27.15  | | | | | | | | 
% 173.74/27.15  | | | | | | | | REDUCE: (53), (88) imply:
% 173.74/27.15  | | | | | | | |   (89)  $false
% 173.74/27.15  | | | | | | | | 
% 173.74/27.15  | | | | | | | | CLOSE: (89) is inconsistent.
% 173.74/27.15  | | | | | | | | 
% 173.74/27.15  | | | | | | | Case 2:
% 173.74/27.15  | | | | | | | | 
% 173.74/27.15  | | | | | | | |   (90)   ~ (all_58_19 = e0)
% 173.74/27.15  | | | | | | | |   (91)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 173.74/27.15  | | | | | | | | 
% 173.74/27.15  | | | | | | | | BETA: splitting (39) gives:
% 173.74/27.15  | | | | | | | | 
% 173.74/27.15  | | | | | | | | Case 1:
% 173.74/27.15  | | | | | | | | | 
% 173.74/27.15  | | | | | | | | |   (92)  all_58_23 = e0
% 173.74/27.15  | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | COMBINE_EQS: (3), (92) imply:
% 173.74/27.15  | | | | | | | | |   (93)  all_52_7 = e0
% 173.74/27.15  | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | REDUCE: (42), (93) imply:
% 173.74/27.15  | | | | | | | | |   (94)  $false
% 173.74/27.15  | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | CLOSE: (94) is inconsistent.
% 173.74/27.15  | | | | | | | | | 
% 173.74/27.15  | | | | | | | | Case 2:
% 173.74/27.15  | | | | | | | | | 
% 173.74/27.15  | | | | | | | | |   (95)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 173.74/27.15  | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | BETA: splitting (59) gives:
% 173.74/27.15  | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | Case 1:
% 173.74/27.15  | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | |   (96)  all_56_12 = e2
% 173.74/27.15  | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | COMBINE_EQS: (2), (96) imply:
% 173.74/27.15  | | | | | | | | | |   (97)  all_52_3 = e2
% 173.74/27.15  | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | SIMP: (97) implies:
% 173.74/27.15  | | | | | | | | | |   (98)  all_52_3 = e2
% 173.74/27.15  | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | REDUCE: (55), (98) imply:
% 173.74/27.15  | | | | | | | | | |   (99)   ~ (all_52_1 = e2)
% 173.74/27.15  | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | BETA: splitting (91) gives:
% 173.74/27.15  | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | Case 1:
% 173.74/27.15  | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | |   (100)  all_58_18 = e1
% 173.74/27.15  | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | COMBINE_EQS: (68), (100) imply:
% 173.74/27.15  | | | | | | | | | | |   (101)  e1 = e0
% 173.74/27.15  | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | REDUCE: (56), (101) imply:
% 173.74/27.15  | | | | | | | | | | |   (102)  $false
% 173.74/27.15  | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | CLOSE: (102) is inconsistent.
% 173.74/27.15  | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | Case 2:
% 173.74/27.15  | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | |   (103)  all_58_16 = e3 | all_58_17 = e2
% 173.74/27.15  | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | BETA: splitting (103) gives:
% 173.74/27.15  | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | Case 1:
% 173.74/27.15  | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | |   (104)  all_58_17 = e2
% 173.74/27.15  | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | REF_CLOSE: (22), (99), (104) are inconsistent by sub-proof
% 173.74/27.15  | | | | | | | | | | | |            #609.
% 173.74/27.15  | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | Case 2:
% 173.74/27.15  | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | |   (105)  all_58_16 = e3
% 173.74/27.15  | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | COMBINE_EQS: (33), (105) imply:
% 173.74/27.15  | | | | | | | | | | | |   (106)  all_6_2 = e3
% 173.74/27.15  | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | REDUCE: (40), (106) imply:
% 173.74/27.15  | | | | | | | | | | | |   (107)   ~ (all_52_8 = e3)
% 173.74/27.15  | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | | REF_CLOSE: (9), (10), (11), (12), (14), (27), (29), (43),
% 173.74/27.15  | | | | | | | | | | | |            (50), (52), (54), (60), (82), (86), (107) are
% 173.74/27.15  | | | | | | | | | | | |            inconsistent by sub-proof #480.
% 173.74/27.15  | | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | | End of split
% 173.74/27.15  | | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | End of split
% 173.74/27.15  | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | Case 2:
% 173.74/27.15  | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | |   (108)   ~ (all_56_12 = e2)
% 173.74/27.15  | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | REDUCE: (2), (108) imply:
% 173.74/27.15  | | | | | | | | | |   (109)   ~ (all_52_3 = e2)
% 173.74/27.15  | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | | REF_CLOSE: (2), (6), (8), (15), (16), (17), (21), (22), (23),
% 173.74/27.15  | | | | | | | | | |            (25), (28), (31), (33), (35), (36), (44), (45),
% 173.74/27.15  | | | | | | | | | |            (50), (51), (53), (54), (56), (58), (61), (66),
% 173.74/27.15  | | | | | | | | | |            (68), (75), (78), (80), (95), (109) are
% 173.74/27.15  | | | | | | | | | |            inconsistent by sub-proof #952.
% 173.74/27.15  | | | | | | | | | | 
% 173.74/27.15  | | | | | | | | | End of split
% 173.74/27.15  | | | | | | | | | 
% 173.74/27.15  | | | | | | | | End of split
% 173.74/27.15  | | | | | | | | 
% 173.74/27.15  | | | | | | | End of split
% 173.74/27.15  | | | | | | | 
% 173.74/27.15  | | | | | | End of split
% 173.74/27.15  | | | | | | 
% 173.74/27.15  | | | | | End of split
% 173.74/27.15  | | | | | 
% 173.74/27.15  | | | | End of split
% 173.74/27.15  | | | | 
% 173.74/27.15  | | | Case 2:
% 173.74/27.15  | | | | 
% 173.74/27.15  | | | |   (110)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 173.74/27.15  | | | | 
% 173.74/27.15  | | | | REF_CLOSE: (34), (37), (42), (45), (57), (71), (110) are inconsistent by
% 173.74/27.15  | | | |            sub-proof #940.
% 173.74/27.15  | | | | 
% 173.74/27.15  | | | End of split
% 173.74/27.15  | | | 
% 173.74/27.15  | | Case 2:
% 173.74/27.15  | | | 
% 173.74/27.15  | | |   (111)  all_56_12 = e0
% 173.74/27.15  | | | 
% 173.74/27.15  | | | REF_CLOSE: (2), (53), (111) are inconsistent by sub-proof #919.
% 173.74/27.15  | | | 
% 173.74/27.15  | | End of split
% 173.74/27.15  | | 
% 173.74/27.15  | End of split
% 173.74/27.15  | 
% 173.74/27.15  End of proof
% 173.74/27.15  
% 173.74/27.15  Sub-proof #480 shows that the following formulas are inconsistent:
% 173.74/27.15  ----------------------------------------------------------------
% 173.74/27.15    (1)  op(all_10_2, e1) = all_10_1
% 173.74/27.15    (2)  op(e1, all_10_2) = all_58_10
% 173.74/27.15    (3)  op(e1, e1) = all_10_2
% 173.74/27.15    (4)  all_58_26 = all_10_2
% 173.74/27.15    (5)  all_58_25 = e0
% 173.74/27.15    (6)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 173.74/27.15    (7)   ~ (all_52_6 = all_10_2)
% 173.74/27.15    (8)  all_54_9 = all_52_6
% 173.74/27.15    (9)   ~ (all_52_8 = e3)
% 173.74/27.15    (10)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 173.74/27.15    (11)  all_58_24 = all_52_8
% 173.74/27.15    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.74/27.15            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.74/27.15    (13)  op(all_10_1, all_10_2) = e0
% 173.74/27.15    (14)   ~ (e2 = e0)
% 173.74/27.15    (15)   ~ (all_10_1 = e0)
% 173.74/27.15  
% 173.74/27.15  Begin of proof
% 173.74/27.15  | 
% 173.74/27.15  | BETA: splitting (6) gives:
% 173.74/27.15  | 
% 173.74/27.15  | Case 1:
% 173.74/27.15  | | 
% 173.74/27.15  | |   (16)  all_58_26 = e1
% 173.74/27.15  | | 
% 173.74/27.15  | | COMBINE_EQS: (4), (16) imply:
% 173.74/27.15  | |   (17)  all_10_2 = e1
% 173.74/27.15  | | 
% 173.74/27.15  | | SIMP: (17) implies:
% 173.74/27.15  | |   (18)  all_10_2 = e1
% 173.74/27.15  | | 
% 173.74/27.15  | | REDUCE: (7), (18) imply:
% 173.74/27.15  | |   (19)   ~ (all_52_6 = e1)
% 173.74/27.15  | | 
% 173.74/27.15  | | REDUCE: (13), (18) imply:
% 173.74/27.15  | |   (20)  op(all_10_1, e1) = e0
% 173.74/27.15  | | 
% 173.74/27.15  | | REDUCE: (1), (18) imply:
% 173.74/27.15  | |   (21)  op(e1, e1) = all_10_1
% 173.74/27.15  | | 
% 173.74/27.15  | | REDUCE: (2), (18) imply:
% 173.74/27.15  | |   (22)  op(e1, e1) = all_58_10
% 173.74/27.15  | | 
% 173.74/27.15  | | REDUCE: (3), (18) imply:
% 173.74/27.15  | |   (23)  op(e1, e1) = e1
% 173.74/27.15  | | 
% 173.74/27.15  | | BETA: splitting (10) gives:
% 173.74/27.15  | | 
% 173.74/27.15  | | Case 1:
% 173.74/27.15  | | | 
% 173.74/27.15  | | |   (24)  all_54_9 = e1
% 173.74/27.15  | | | 
% 173.74/27.15  | | | REF_CLOSE: (8), (19), (24) are inconsistent by sub-proof #900.
% 173.74/27.15  | | | 
% 173.74/27.15  | | Case 2:
% 173.74/27.15  | | | 
% 173.74/27.15  | | | 
% 173.74/27.15  | | | REF_CLOSE: (12), (15), (20), (21), (22), (23) are inconsistent by
% 173.74/27.15  | | |            sub-proof #484.
% 173.74/27.15  | | | 
% 173.74/27.15  | | End of split
% 173.74/27.15  | | 
% 173.74/27.15  | Case 2:
% 173.74/27.15  | | 
% 173.74/27.15  | |   (25)  all_58_24 = e3 | all_58_25 = e2
% 173.74/27.15  | | 
% 173.74/27.15  | | REF_CLOSE: (5), (9), (11), (14), (25) are inconsistent by sub-proof #849.
% 173.74/27.15  | | 
% 173.74/27.15  | End of split
% 173.74/27.15  | 
% 173.74/27.15  End of proof
% 173.74/27.15  
% 173.74/27.15  Sub-proof #481 shows that the following formulas are inconsistent:
% 173.74/27.15  ----------------------------------------------------------------
% 173.74/27.15    (1)  all_56_12 = all_52_3
% 173.74/27.15    (2)   ~ (all_10_2 = e0)
% 173.74/27.15    (3)  all_56_5 = all_52_9
% 173.74/27.15    (4)  all_56_14 = all_52_11
% 173.74/27.15    (5)  all_56_8 = all_10_2
% 173.74/27.15    (6)  all_56_0 = all_6_2
% 173.74/27.15    (7)   ~ (all_52_2 = e0)
% 173.74/27.15    (8)  all_56_2 = all_52_1
% 173.74/27.15    (9)   ~ (all_6_2 = e0)
% 173.74/27.15    (10)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 173.74/27.15    (11)  all_56_6 = all_52_2
% 173.74/27.15    (12)   ~ (all_52_1 = all_52_9)
% 173.74/27.16    (13)   ~ (all_52_11 = e0)
% 173.74/27.16    (14)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 173.74/27.16    (15)   ~ (all_52_3 = e0)
% 173.74/27.16  
% 173.74/27.16  Begin of proof
% 173.74/27.16  | 
% 173.74/27.16  | BETA: splitting (10) gives:
% 173.74/27.16  | 
% 173.74/27.16  | Case 1:
% 173.74/27.16  | | 
% 173.74/27.16  | |   (16)  all_56_0 = e0
% 173.74/27.16  | | 
% 173.74/27.16  | | COMBINE_EQS: (6), (16) imply:
% 173.74/27.16  | |   (17)  all_6_2 = e0
% 173.74/27.16  | | 
% 173.74/27.16  | | REDUCE: (9), (17) imply:
% 173.74/27.16  | |   (18)  $false
% 173.74/27.16  | | 
% 173.74/27.16  | | CLOSE: (18) is inconsistent.
% 173.74/27.16  | | 
% 173.74/27.16  | Case 2:
% 173.74/27.16  | | 
% 173.74/27.16  | |   (19)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 173.74/27.16  | | 
% 173.74/27.16  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (11), (12), (13), (14), (15),
% 173.74/27.16  | |            (19) are inconsistent by sub-proof #913.
% 173.74/27.16  | | 
% 173.74/27.16  | End of split
% 173.74/27.16  | 
% 173.74/27.16  End of proof
% 173.74/27.16  
% 173.74/27.16  Sub-proof #482 shows that the following formulas are inconsistent:
% 173.74/27.16  ----------------------------------------------------------------
% 173.74/27.16    (1)  all_56_5 = all_52_9
% 173.74/27.16    (2)  op(all_10_2, e1) = all_10_1
% 173.74/27.16    (3)  op(e1, all_10_2) = all_58_10
% 173.74/27.16    (4)   ~ (all_52_9 = all_4_2)
% 173.74/27.16    (5)  op(e1, e1) = all_10_2
% 173.74/27.16    (6)  all_54_6 = all_52_9
% 173.74/27.16    (7)   ~ (all_52_13 = all_4_2)
% 173.74/27.16    (8)   ~ (all_52_4 = e3)
% 173.74/27.16    (9)  all_58_26 = all_10_2
% 173.74/27.16    (10)   ~ (all_52_9 = all_52_13)
% 173.74/27.16    (11)   ~ (all_52_9 = all_10_2)
% 173.74/27.16    (12)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 173.74/27.16    (13)  all_56_4 = e0
% 173.74/27.16    (14)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 173.74/27.16    (15)   ~ (e3 = e0)
% 173.74/27.16    (16)  all_58_20 = all_52_4
% 173.74/27.16    (17)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 173.74/27.16    (18)  all_58_24 = e0
% 173.74/27.16    (19)  all_58_20 = e3 | all_58_21 = e2
% 173.74/27.16    (20)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 173.74/27.16    (21)  all_58_25 = all_52_9
% 173.74/27.16    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.74/27.16            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.74/27.16    (23)  all_58_21 = all_4_2
% 173.74/27.16    (24)  op(all_10_1, all_10_2) = e0
% 173.74/27.16    (25)  all_54_7 = all_52_13
% 173.74/27.16    (26)   ~ (all_10_1 = e0)
% 173.74/27.16  
% 173.74/27.16  Begin of proof
% 173.74/27.16  | 
% 173.74/27.16  | BETA: splitting (19) gives:
% 173.74/27.16  | 
% 173.74/27.16  | Case 1:
% 173.74/27.16  | | 
% 173.74/27.16  | |   (27)  all_58_21 = e2
% 173.74/27.16  | | 
% 173.74/27.16  | | COMBINE_EQS: (23), (27) imply:
% 173.74/27.16  | |   (28)  all_4_2 = e2
% 173.74/27.16  | | 
% 173.74/27.16  | | REDUCE: (4), (28) imply:
% 173.74/27.16  | |   (29)   ~ (all_52_9 = e2)
% 173.74/27.16  | | 
% 173.74/27.16  | | REDUCE: (7), (28) imply:
% 173.74/27.16  | |   (30)   ~ (all_52_13 = e2)
% 173.74/27.16  | | 
% 173.74/27.16  | | REF_CLOSE: (1), (2), (3), (5), (6), (9), (10), (11), (12), (13), (14), (15),
% 173.74/27.16  | |            (17), (18), (20), (21), (22), (24), (25), (26), (29), (30) are
% 173.74/27.16  | |            inconsistent by sub-proof #483.
% 173.74/27.16  | | 
% 173.74/27.16  | Case 2:
% 173.74/27.16  | | 
% 173.74/27.16  | |   (31)  all_58_20 = e3
% 173.74/27.16  | | 
% 173.74/27.16  | | COMBINE_EQS: (16), (31) imply:
% 173.74/27.16  | |   (32)  all_52_4 = e3
% 173.74/27.16  | | 
% 173.74/27.16  | | REDUCE: (8), (32) imply:
% 173.74/27.16  | |   (33)  $false
% 173.74/27.16  | | 
% 173.74/27.16  | | CLOSE: (33) is inconsistent.
% 173.74/27.16  | | 
% 173.74/27.16  | End of split
% 173.74/27.16  | 
% 173.74/27.16  End of proof
% 173.74/27.16  
% 173.74/27.16  Sub-proof #483 shows that the following formulas are inconsistent:
% 173.74/27.16  ----------------------------------------------------------------
% 173.74/27.16    (1)  all_56_5 = all_52_9
% 173.74/27.16    (2)  op(all_10_2, e1) = all_10_1
% 173.74/27.16    (3)  op(e1, all_10_2) = all_58_10
% 173.74/27.16    (4)  op(e1, e1) = all_10_2
% 173.74/27.16    (5)  all_54_6 = all_52_9
% 173.74/27.16    (6)  all_58_26 = all_10_2
% 173.74/27.16    (7)   ~ (all_52_9 = all_52_13)
% 173.74/27.16    (8)   ~ (all_52_9 = all_10_2)
% 173.74/27.16    (9)   ~ (all_52_9 = e2)
% 173.74/27.16    (10)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 173.74/27.16    (11)  all_56_4 = e0
% 173.74/27.16    (12)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 173.74/27.16    (13)   ~ (all_52_13 = e2)
% 173.74/27.16    (14)   ~ (e3 = e0)
% 173.74/27.16    (15)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 173.74/27.16    (16)  all_58_24 = e0
% 173.74/27.16    (17)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 173.74/27.16    (18)  all_58_25 = all_52_9
% 173.74/27.16    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.74/27.16            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.74/27.16    (20)  op(all_10_1, all_10_2) = e0
% 173.74/27.16    (21)  all_54_7 = all_52_13
% 173.74/27.16    (22)   ~ (all_10_1 = e0)
% 173.74/27.16  
% 173.74/27.16  Begin of proof
% 173.74/27.16  | 
% 173.74/27.16  | BETA: splitting (10) gives:
% 173.74/27.16  | 
% 173.74/27.16  | Case 1:
% 173.74/27.16  | | 
% 173.74/27.16  | |   (23)  all_58_26 = e1
% 173.74/27.16  | | 
% 173.74/27.16  | | COMBINE_EQS: (6), (23) imply:
% 173.74/27.16  | |   (24)  all_10_2 = e1
% 173.74/27.16  | | 
% 173.74/27.16  | | SIMP: (24) implies:
% 173.82/27.16  | |   (25)  all_10_2 = e1
% 173.82/27.16  | | 
% 173.82/27.16  | | REDUCE: (8), (25) imply:
% 173.82/27.16  | |   (26)   ~ (all_52_9 = e1)
% 173.82/27.16  | | 
% 173.82/27.16  | | REDUCE: (20), (25) imply:
% 173.82/27.16  | |   (27)  op(all_10_1, e1) = e0
% 173.82/27.16  | | 
% 173.82/27.16  | | REDUCE: (2), (25) imply:
% 173.82/27.16  | |   (28)  op(e1, e1) = all_10_1
% 173.82/27.16  | | 
% 173.82/27.16  | | REDUCE: (3), (25) imply:
% 173.82/27.16  | |   (29)  op(e1, e1) = all_58_10
% 173.82/27.16  | | 
% 173.82/27.16  | | REDUCE: (4), (25) imply:
% 173.82/27.16  | |   (30)  op(e1, e1) = e1
% 173.82/27.16  | | 
% 173.82/27.16  | | BETA: splitting (17) gives:
% 173.82/27.16  | | 
% 173.82/27.16  | | Case 1:
% 173.82/27.16  | | | 
% 173.82/27.16  | | |   (31)  all_54_6 = e1
% 173.82/27.16  | | | 
% 173.82/27.16  | | | REF_CLOSE: (5), (26), (31) are inconsistent by sub-proof #886.
% 173.82/27.16  | | | 
% 173.82/27.16  | | Case 2:
% 173.82/27.16  | | | 
% 173.82/27.16  | | |   (32)  all_54_6 = e3 | all_54_6 = e2
% 173.82/27.16  | | | 
% 173.82/27.16  | | | BETA: splitting (15) gives:
% 173.82/27.16  | | | 
% 173.82/27.16  | | | Case 1:
% 173.82/27.16  | | | | 
% 173.82/27.16  | | | |   (33)  all_56_4 = e3
% 173.82/27.16  | | | | 
% 173.82/27.16  | | | | REF_CLOSE: (11), (14), (33) are inconsistent by sub-proof #486.
% 173.82/27.16  | | | | 
% 173.82/27.16  | | | Case 2:
% 173.82/27.16  | | | | 
% 173.82/27.16  | | | |   (34)  all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 173.82/27.16  | | | | 
% 173.82/27.16  | | | | BETA: splitting (34) gives:
% 173.82/27.16  | | | | 
% 173.82/27.16  | | | | Case 1:
% 173.82/27.16  | | | | | 
% 173.82/27.16  | | | | |   (35)  all_56_5 = e3
% 173.82/27.16  | | | | | 
% 173.82/27.16  | | | | | COMBINE_EQS: (1), (35) imply:
% 173.82/27.16  | | | | |   (36)  all_52_9 = e3
% 173.82/27.16  | | | | | 
% 173.82/27.16  | | | | | REDUCE: (7), (36) imply:
% 173.82/27.16  | | | | |   (37)   ~ (all_52_13 = e3)
% 173.82/27.16  | | | | | 
% 173.82/27.16  | | | | | SIMP: (37) implies:
% 173.82/27.16  | | | | |   (38)   ~ (all_52_13 = e3)
% 173.82/27.16  | | | | | 
% 173.82/27.16  | | | | | BETA: splitting (12) gives:
% 173.82/27.16  | | | | | 
% 173.82/27.16  | | | | | Case 1:
% 173.82/27.16  | | | | | | 
% 173.82/27.16  | | | | | | 
% 173.82/27.16  | | | | | | REF_CLOSE: (19), (22), (27), (28), (29), (30) are inconsistent by
% 173.82/27.16  | | | | | |            sub-proof #484.
% 173.82/27.16  | | | | | | 
% 173.82/27.16  | | | | | Case 2:
% 173.82/27.16  | | | | | | 
% 173.82/27.16  | | | | | |   (39)  all_54_7 = e3 | all_54_7 = e2
% 173.82/27.16  | | | | | | 
% 173.82/27.16  | | | | | | REF_CLOSE: (13), (21), (38), (39) are inconsistent by sub-proof
% 173.82/27.16  | | | | | |            #709.
% 173.82/27.16  | | | | | | 
% 173.82/27.16  | | | | | End of split
% 173.82/27.16  | | | | | 
% 173.82/27.16  | | | | Case 2:
% 173.82/27.16  | | | | | 
% 173.82/27.16  | | | | |   (40)   ~ (all_56_5 = e3)
% 173.82/27.16  | | | | | 
% 173.82/27.16  | | | | | REDUCE: (1), (40) imply:
% 173.82/27.16  | | | | |   (41)   ~ (all_52_9 = e3)
% 173.82/27.16  | | | | | 
% 173.82/27.16  | | | | | REF_CLOSE: (5), (9), (32), (41) are inconsistent by sub-proof #884.
% 173.82/27.16  | | | | | 
% 173.82/27.16  | | | | End of split
% 173.82/27.16  | | | | 
% 173.82/27.16  | | | End of split
% 173.82/27.16  | | | 
% 173.82/27.16  | | End of split
% 173.82/27.16  | | 
% 173.82/27.16  | Case 2:
% 173.82/27.16  | | 
% 173.82/27.16  | |   (42)  all_58_24 = e3 | all_58_25 = e2
% 173.82/27.16  | | 
% 173.82/27.16  | | REF_CLOSE: (9), (14), (16), (18), (42) are inconsistent by sub-proof #921.
% 173.82/27.16  | | 
% 173.82/27.16  | End of split
% 173.82/27.16  | 
% 173.82/27.16  End of proof
% 173.82/27.16  
% 173.82/27.16  Sub-proof #484 shows that the following formulas are inconsistent:
% 173.82/27.16  ----------------------------------------------------------------
% 173.82/27.16    (1)  op(all_10_1, e1) = e0
% 173.82/27.16    (2)  op(e1, e1) = all_58_10
% 173.82/27.16    (3)  op(e1, e1) = e1
% 173.82/27.16    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.82/27.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.82/27.16    (5)  op(e1, e1) = all_10_1
% 173.82/27.16    (6)   ~ (all_10_1 = e0)
% 173.82/27.16  
% 173.82/27.16  Begin of proof
% 173.82/27.16  | 
% 173.82/27.16  | GROUND_INST: instantiating (4) with all_10_1, all_58_10, e1, e1, simplifying
% 173.82/27.16  |              with (2), (5) gives:
% 173.82/27.16  |   (7)  all_58_10 = all_10_1
% 173.82/27.16  | 
% 173.82/27.16  | GROUND_INST: instantiating (4) with e1, all_58_10, e1, e1, simplifying with
% 173.82/27.16  |              (2), (3) gives:
% 173.82/27.16  |   (8)  all_58_10 = e1
% 173.82/27.16  | 
% 173.82/27.16  | COMBINE_EQS: (7), (8) imply:
% 173.82/27.16  |   (9)  all_10_1 = e1
% 173.82/27.16  | 
% 173.82/27.16  | SIMP: (9) implies:
% 173.82/27.16  |   (10)  all_10_1 = e1
% 173.82/27.16  | 
% 173.82/27.16  | REDUCE: (6), (10) imply:
% 173.82/27.16  |   (11)   ~ (e1 = e0)
% 173.82/27.16  | 
% 173.82/27.16  | REDUCE: (1), (10) imply:
% 173.82/27.16  |   (12)  op(e1, e1) = e0
% 173.82/27.16  | 
% 173.82/27.16  | REF_CLOSE: (2), (3), (4), (11), (12) are inconsistent by sub-proof #485.
% 173.82/27.16  | 
% 173.82/27.16  End of proof
% 173.82/27.16  
% 173.82/27.16  Sub-proof #485 shows that the following formulas are inconsistent:
% 173.82/27.16  ----------------------------------------------------------------
% 173.82/27.16    (1)  op(e1, e1) = all_58_10
% 173.82/27.16    (2)  op(e1, e1) = e1
% 173.82/27.16    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.82/27.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.82/27.16    (4)   ~ (e1 = e0)
% 173.82/27.16    (5)  op(e1, e1) = e0
% 173.82/27.16  
% 173.82/27.16  Begin of proof
% 173.82/27.16  | 
% 173.82/27.16  | GROUND_INST: instantiating (3) with e1, all_58_10, e1, e1, simplifying with
% 173.82/27.16  |              (1), (2) gives:
% 173.82/27.16  |   (6)  all_58_10 = e1
% 173.82/27.16  | 
% 173.82/27.16  | GROUND_INST: instantiating (3) with e0, all_58_10, e1, e1, simplifying with
% 173.82/27.16  |              (1), (5) gives:
% 173.82/27.16  |   (7)  all_58_10 = e0
% 173.82/27.16  | 
% 173.82/27.16  | COMBINE_EQS: (6), (7) imply:
% 173.82/27.16  |   (8)  e1 = e0
% 173.82/27.16  | 
% 173.82/27.16  | SIMP: (8) implies:
% 173.82/27.16  |   (9)  e1 = e0
% 173.82/27.16  | 
% 173.82/27.16  | REDUCE: (4), (9) imply:
% 173.82/27.16  |   (10)  $false
% 173.82/27.16  | 
% 173.82/27.16  | CLOSE: (10) is inconsistent.
% 173.82/27.16  | 
% 173.82/27.16  End of proof
% 173.82/27.16  
% 173.82/27.16  Sub-proof #486 shows that the following formulas are inconsistent:
% 173.82/27.16  ----------------------------------------------------------------
% 173.82/27.16    (1)  all_56_4 = e3
% 173.82/27.16    (2)  all_56_4 = e0
% 173.82/27.16    (3)   ~ (e3 = e0)
% 173.82/27.16  
% 173.82/27.16  Begin of proof
% 173.82/27.16  | 
% 173.82/27.16  | COMBINE_EQS: (1), (2) imply:
% 173.82/27.16  |   (4)  e3 = e0
% 173.82/27.16  | 
% 173.82/27.16  | SIMP: (4) implies:
% 173.82/27.16  |   (5)  e3 = e0
% 173.82/27.16  | 
% 173.82/27.16  | REDUCE: (3), (5) imply:
% 173.82/27.16  |   (6)  $false
% 173.82/27.16  | 
% 173.82/27.16  | CLOSE: (6) is inconsistent.
% 173.82/27.16  | 
% 173.82/27.16  End of proof
% 173.82/27.16  
% 173.82/27.16  Sub-proof #487 shows that the following formulas are inconsistent:
% 173.82/27.16  ----------------------------------------------------------------
% 173.82/27.16    (1)   ~ (all_52_12 = all_14_2)
% 173.82/27.16    (2)  op(e0, e0) = all_14_2
% 173.82/27.16    (3)  all_54_8 = all_52_2
% 173.82/27.16    (4)  all_56_1 = all_52_4
% 173.82/27.16    (5)  all_56_12 = all_52_3
% 173.82/27.16    (6)  all_56_15 = e0 | ((all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 173.82/27.16           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0))
% 173.82/27.16    (7)  op(e1, e3) = all_52_2
% 173.82/27.16    (8)  op(e3, all_52_12) = all_58_3
% 173.82/27.16    (9)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 173.82/27.16    (10)  op(e1, all_52_14) = all_58_11
% 173.82/27.16    (11)   ~ (all_10_2 = e0)
% 173.82/27.16    (12)   ~ (all_52_8 = all_52_12)
% 173.82/27.16    (13)   ~ (e3 = e1)
% 173.82/27.16    (14)  all_58_23 = all_52_7
% 173.82/27.16    (15)   ~ (all_52_2 = all_6_2)
% 173.82/27.16    (16)   ~ (all_52_3 = all_14_2)
% 173.82/27.16    (17)   ~ (all_52_4 = all_4_2)
% 173.82/27.16    (18)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 173.82/27.16    (19)  all_54_3 = all_52_12
% 173.82/27.16    (20)  all_56_5 = all_52_9
% 173.82/27.16    (21)   ~ (all_52_3 = all_52_11)
% 173.82/27.16    (22)  op(all_6_2, e3) = all_6_1
% 173.82/27.16    (23)   ~ (all_52_12 = all_6_2)
% 173.82/27.16    (24)  op(e2, e0) = all_52_13
% 173.82/27.16    (25)  op(e3, all_6_2) = all_58_0
% 173.82/27.16    (26)  op(e1, e0) = all_52_14
% 173.82/27.16    (27)  all_56_15 = all_14_2
% 173.82/27.16    (28)   ~ (all_52_11 = all_14_2)
% 173.82/27.16    (29)  op(e0, e2) = all_52_7
% 173.82/27.16    (30)  all_54_1 = all_52_4
% 173.82/27.16    (31)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 173.82/27.16    (32)   ~ (all_52_3 = all_52_7)
% 173.82/27.16    (33)  all_54_6 = all_52_9
% 173.82/27.16    (34)  op(e0, e2) = all_4_1
% 173.82/27.16    (35)  all_56_14 = all_52_11
% 173.82/27.16    (36)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 173.82/27.16    (37)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 173.82/27.16    (38)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 173.82/27.16    (39)  op(e0, all_52_3) = all_58_12
% 173.82/27.16    (40)  all_56_8 = all_10_2
% 173.82/27.16    (41)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 173.82/27.16    (42)   ~ (all_52_9 = e0)
% 173.82/27.16    (43)  all_58_26 = all_10_2
% 173.82/27.16    (44)   ~ (all_52_4 = all_52_6)
% 173.82/27.16    (45)  all_58_31 = all_14_2
% 173.82/27.16    (46)   ~ (all_52_11 = all_10_2)
% 173.82/27.16    (47)   ~ (all_52_9 = all_52_13)
% 173.82/27.16    (48)   ~ (all_52_3 = all_6_2)
% 173.82/27.16    (49)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 173.82/27.16    (50)   ~ (all_52_4 = e0)
% 173.82/27.16    (51)  op(all_6_1, all_6_2) = all_6_0
% 173.82/27.16    (52)   ~ (all_52_1 = all_6_2)
% 173.82/27.16    (53)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 173.82/27.16    (54)  all_54_2 = all_52_8
% 173.82/27.16    (55)  all_56_11 = all_52_14
% 173.82/27.16    (56)  op(e2, e1) = all_52_9
% 173.82/27.16    (57)   ~ (all_52_6 = all_52_7)
% 173.82/27.16    (58)  all_56_2 = e2 | all_56_3 = e2 | all_56_5 = e2 | all_56_10 = e2
% 173.82/27.16    (59)  all_56_0 = all_6_2
% 173.82/27.16    (60)   ~ (all_52_9 = all_10_2)
% 173.82/27.16    (61)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 173.82/27.16    (62)  all_58_30 = all_52_14
% 173.82/27.16    (63)  all_58_27 = all_52_11
% 173.82/27.16    (64)  all_24_1 = all_4_1
% 173.82/27.16    (65)  all_54_14 = all_52_11
% 173.82/27.16    (66)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 173.82/27.16    (67)  all_58_17 = all_52_1
% 173.82/27.16    (68)  all_58_21 = e0
% 173.82/27.16    (69)  all_42_2 = all_6_2
% 173.82/27.16    (70)   ~ (all_42_0 = e1) |  ~ (all_42_1 = e2) |  ~ (all_42_2 = e0)
% 173.82/27.16    (71)  all_58_19 = all_52_3
% 173.82/27.16    (72)  all_56_9 = all_52_12
% 173.82/27.16    (73)   ~ (all_40_0 = e3) |  ~ (all_40_1 = e1) |  ~ (all_40_2 = e0)
% 173.82/27.16    (74)   ~ (all_52_2 = all_52_6)
% 173.82/27.16    (75)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 173.82/27.16    (76)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 173.82/27.16    (77)   ~ (e3 = e2)
% 173.82/27.16    (78)  op(e3, all_52_8) = all_58_2
% 173.82/27.16    (79)   ~ (all_52_4 = all_52_7)
% 173.82/27.16    (80)   ~ (e2 = e1)
% 173.82/27.16    (81)   ~ (all_52_6 = all_10_2)
% 173.82/27.16    (82)  op(e0, all_52_11) = all_58_14
% 173.82/27.16    (83)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 173.82/27.16    (84)   ~ (all_52_7 = all_14_2)
% 173.82/27.16    (85)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 173.82/27.16    (86)  all_24_0 = all_4_0
% 173.82/27.16    (87)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 173.82/27.16    (88)   ~ (all_52_13 = all_14_2)
% 173.82/27.16    (89)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 173.82/27.16    (90)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 173.82/27.16    (91)  all_54_9 = all_52_6
% 173.82/27.16    (92)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 173.82/27.16    (93)   ~ (all_52_13 = all_52_14)
% 173.82/27.16    (94)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3)
% 173.82/27.16    (95)  all_58_18 = all_52_2
% 173.82/27.16    (96)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 173.82/27.16    (97)  all_58_16 = all_6_2
% 173.82/27.16    (98)  all_56_13 = all_52_7
% 173.82/27.16    (99)  op(e0, e3) = all_52_3
% 173.82/27.16    (100)  op(e2, e0) = all_58_5
% 173.82/27.16    (101)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 173.82/27.16    (102)   ~ (all_52_8 = all_52_9)
% 173.82/27.16    (103)   ~ (all_52_4 = all_6_2)
% 173.82/27.16    (104)  all_56_2 = all_52_1
% 173.82/27.16    (105)   ~ (all_14_0 = e1)
% 173.82/27.16    (106)   ~ (e3 = e0)
% 173.82/27.16    (107)  op(e3, e0) = all_52_12
% 173.82/27.16    (108)  all_58_29 = all_52_13
% 173.82/27.16    (109)   ~ (all_52_1 = all_52_2)
% 173.82/27.16    (110)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 173.82/27.16    (111)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 173.82/27.16    (112)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 173.82/27.16    (113)   ~ (all_52_6 = all_52_14)
% 173.82/27.16    (114)   ~ (all_52_8 = all_10_2)
% 173.82/27.16    (115)  all_56_4 = all_52_8
% 173.82/27.16    (116)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 173.82/27.16    (117)  op(e1, all_52_2) = all_58_8
% 173.82/27.16    (118)  op(all_14_1, all_14_2) = all_14_0
% 173.82/27.16    (119)   ~ (all_52_1 = all_52_13)
% 173.82/27.16    (120)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 173.82/27.16    (121)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 173.82/27.16    (122)  all_58_20 = all_52_4
% 173.82/27.16    (123)  all_54_10 = all_10_2
% 173.82/27.16    (124)  all_54_13 = all_52_7
% 173.82/27.16    (125)   ~ (all_52_7 = all_52_11)
% 173.82/27.16    (126)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 173.82/27.16    (127)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 173.82/27.16    (128)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 173.82/27.16    (129)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 173.82/27.16    (130)   ~ (all_52_8 = all_52_11)
% 173.82/27.16    (131)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 173.82/27.16    (132)   ~ (all_52_8 = all_6_2)
% 173.82/27.16    (133)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 173.82/27.16    (134)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 173.82/27.16    (135)  all_56_6 = all_52_2
% 173.82/27.16    (136)   ~ (all_52_1 = all_52_9)
% 173.82/27.16    (137)   ~ (all_52_7 = e0)
% 173.82/27.16    (138)  all_58_24 = all_52_8
% 173.82/27.16    (139)   ~ (all_52_12 = all_52_14)
% 173.82/27.16    (140)  all_56_3 = e0
% 173.82/27.16    (141)   ~ (all_52_9 = all_52_11)
% 173.82/27.16    (142)  all_58_22 = all_52_6
% 173.82/27.16    (143)  op(all_14_2, e0) = all_14_1
% 173.82/27.16    (144)   ~ (all_52_4 = all_52_12)
% 173.82/27.16    (145)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 173.82/27.16    (146)  all_54_0 = all_6_2
% 173.82/27.16    (147)  all_40_0 = all_4_0
% 173.82/27.16    (148)   ~ (all_52_14 = all_10_2)
% 173.82/27.16    (149)   ~ (all_52_1 = e0)
% 173.82/27.16    (150)   ~ (all_52_2 = all_52_3)
% 173.82/27.16    (151)  op(all_4_1, e0) = all_4_0
% 173.82/27.16    (152)   ~ (all_52_4 = all_52_8)
% 173.82/27.16    (153)   ~ (all_52_14 = all_14_2)
% 173.82/27.16    (154)  all_58_25 = all_52_9
% 173.82/27.16    (155)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 173.82/27.16    (156)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.82/27.16             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.82/27.16    (157)   ~ (all_52_6 = e0)
% 173.82/27.16    (158)  all_54_12 = all_52_3
% 173.82/27.16    (159)   ~ (all_52_2 = all_52_14)
% 173.82/27.16    (160)  op(e0, all_14_2) = all_58_15
% 173.82/27.16    (161)  all_58_21 = all_4_2
% 173.82/27.16    (162)  all_40_1 = all_4_1
% 173.82/27.16    (163)  all_56_10 = all_52_13
% 173.82/27.16    (164)   ~ (e2 = e0)
% 173.82/27.16    (165)   ~ (all_52_1 = all_52_3)
% 173.82/27.16    (166)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 173.82/27.16    (167)  all_58_28 = all_52_12
% 173.82/27.16    (168)  all_40_2 = e0
% 173.82/27.16    (169)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 173.82/27.16    (170)   ~ (e1 = e0)
% 173.82/27.16    (171)  all_54_4 = all_52_1
% 173.82/27.16    (172)  all_56_7 = all_52_6
% 173.82/27.16    (173)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 173.82/27.16             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 173.82/27.16             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 173.82/27.16             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 173.82/27.16             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 173.82/27.16             (all_58_15 = e0))
% 173.82/27.16    (174)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 173.82/27.16    (175)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 173.82/27.16    (176)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 173.82/27.16           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 173.82/27.16           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.82/27.16           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 173.82/27.16           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.82/27.16           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 173.82/27.16           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.82/27.16           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 173.82/27.16           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 173.82/27.16           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 173.82/27.16             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 173.82/27.16             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 173.82/27.16             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 173.82/27.16             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 173.82/27.16             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 173.82/27.16             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 173.82/27.16             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 173.82/27.16             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 173.82/27.16             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 173.82/27.16             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 173.82/27.16             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 173.82/27.16             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 173.82/27.16             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 173.82/27.16             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 173.82/27.16             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 173.82/27.16             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 173.82/27.16           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 173.82/27.16           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.82/27.16           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 173.82/27.16             all_58_30 = e0 & e1 = e0)
% 173.82/27.16    (177)  all_54_7 = all_52_13
% 173.82/27.16    (178)   ~ (all_52_2 = all_10_2)
% 173.82/27.16    (179)  all_54_11 = all_52_14
% 173.82/27.16    (180)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 173.82/27.16    (181)   ~ (all_52_12 = all_52_13)
% 173.82/27.16  
% 173.82/27.16  Begin of proof
% 173.82/27.16  | 
% 173.82/27.16  | GROUND_INST: instantiating (156) with all_52_7, all_4_1, e2, e0, simplifying
% 173.82/27.16  |              with (29), (34) gives:
% 173.82/27.16  |   (182)  all_52_7 = all_4_1
% 173.82/27.16  | 
% 173.82/27.16  | GROUND_INST: instantiating (156) with all_52_13, all_58_5, e0, e2, simplifying
% 173.82/27.16  |              with (24), (100) gives:
% 173.82/27.16  |   (183)  all_58_5 = all_52_13
% 173.82/27.16  | 
% 173.82/27.16  | COMBINE_EQS: (124), (182) imply:
% 173.82/27.16  |   (184)  all_54_13 = all_4_1
% 173.82/27.16  | 
% 173.82/27.16  | COMBINE_EQS: (98), (182) imply:
% 173.82/27.16  |   (185)  all_56_13 = all_4_1
% 173.82/27.16  | 
% 173.82/27.16  | COMBINE_EQS: (14), (182) imply:
% 173.82/27.16  |   (186)  all_58_23 = all_4_1
% 173.82/27.16  | 
% 173.82/27.16  | REDUCE: (32), (182) imply:
% 173.82/27.16  |   (187)   ~ (all_52_3 = all_4_1)
% 173.82/27.16  | 
% 173.82/27.16  | REDUCE: (79), (182) imply:
% 173.82/27.16  |   (188)   ~ (all_52_4 = all_4_1)
% 173.82/27.16  | 
% 173.82/27.16  | REDUCE: (57), (182) imply:
% 173.82/27.16  |   (189)   ~ (all_52_6 = all_4_1)
% 173.82/27.16  | 
% 173.82/27.16  | REDUCE: (125), (182) imply:
% 173.82/27.16  |   (190)   ~ (all_52_11 = all_4_1)
% 173.82/27.16  | 
% 173.82/27.16  | SIMP: (190) implies:
% 173.82/27.16  |   (191)   ~ (all_52_11 = all_4_1)
% 173.82/27.16  | 
% 173.82/27.16  | REDUCE: (84), (182) imply:
% 173.82/27.16  |   (192)   ~ (all_14_2 = all_4_1)
% 173.82/27.16  | 
% 173.82/27.16  | SIMP: (192) implies:
% 173.82/27.16  |   (193)   ~ (all_14_2 = all_4_1)
% 173.82/27.16  | 
% 173.82/27.16  | REDUCE: (137), (182) imply:
% 173.82/27.16  |   (194)   ~ (all_4_1 = e0)
% 173.82/27.16  | 
% 173.82/27.16  | BETA: splitting (73) gives:
% 173.82/27.16  | 
% 173.82/27.16  | Case 1:
% 173.82/27.16  | | 
% 173.82/27.16  | |   (195)   ~ (all_40_2 = e0)
% 173.82/27.16  | | 
% 173.82/27.16  | | REDUCE: (168), (195) imply:
% 173.82/27.16  | |   (196)  $false
% 173.82/27.16  | | 
% 173.82/27.16  | | CLOSE: (196) is inconsistent.
% 173.82/27.16  | | 
% 173.82/27.16  | Case 2:
% 173.82/27.16  | | 
% 173.82/27.16  | |   (197)   ~ (all_40_0 = e3) |  ~ (all_40_1 = e1)
% 173.82/27.16  | | 
% 173.82/27.16  | | BETA: splitting (70) gives:
% 173.82/27.16  | | 
% 173.82/27.16  | | Case 1:
% 173.82/27.16  | | | 
% 173.82/27.16  | | |   (198)   ~ (all_42_2 = e0)
% 173.82/27.17  | | | 
% 173.82/27.17  | | | REDUCE: (69), (198) imply:
% 173.82/27.17  | | |   (199)   ~ (all_6_2 = e0)
% 173.82/27.17  | | | 
% 173.82/27.17  | | | BETA: splitting (6) gives:
% 173.82/27.17  | | | 
% 173.82/27.17  | | | Case 1:
% 173.82/27.17  | | | | 
% 173.82/27.17  | | | |   (200)  all_56_15 = e0
% 173.82/27.17  | | | | 
% 173.82/27.17  | | | | COMBINE_EQS: (27), (200) imply:
% 173.82/27.17  | | | |   (201)  all_14_2 = e0
% 173.82/27.17  | | | | 
% 173.82/27.17  | | | | SIMP: (201) implies:
% 173.82/27.17  | | | |   (202)  all_14_2 = e0
% 173.82/27.17  | | | | 
% 173.82/27.17  | | | | REDUCE: (16), (202) imply:
% 173.82/27.17  | | | |   (203)   ~ (all_52_3 = e0)
% 173.82/27.17  | | | | 
% 173.82/27.17  | | | | REDUCE: (1), (202) imply:
% 173.82/27.17  | | | |   (204)   ~ (all_52_12 = e0)
% 173.82/27.17  | | | | 
% 173.82/27.17  | | | | REDUCE: (193), (202) imply:
% 173.82/27.17  | | | |   (205)   ~ (all_4_1 = e0)
% 173.82/27.17  | | | | 
% 173.82/27.17  | | | | REDUCE: (118), (202) imply:
% 173.82/27.17  | | | |   (206)  op(all_14_1, e0) = all_14_0
% 173.82/27.17  | | | | 
% 173.82/27.17  | | | | REDUCE: (143), (202) imply:
% 173.82/27.17  | | | |   (207)  op(e0, e0) = all_14_1
% 173.82/27.17  | | | | 
% 173.82/27.17  | | | | REDUCE: (160), (202) imply:
% 173.82/27.17  | | | |   (208)  op(e0, e0) = all_58_15
% 173.82/27.17  | | | | 
% 173.82/27.17  | | | | REDUCE: (2), (202) imply:
% 173.82/27.17  | | | |   (209)  op(e0, e0) = e0
% 173.82/27.17  | | | | 
% 173.82/27.17  | | | | BETA: splitting (128) gives:
% 173.82/27.17  | | | | 
% 173.82/27.17  | | | | Case 1:
% 173.82/27.17  | | | | | 
% 173.82/27.17  | | | | |   (210)  all_56_6 = e0
% 173.82/27.17  | | | | | 
% 173.82/27.17  | | | | | COMBINE_EQS: (135), (210) imply:
% 173.82/27.17  | | | | |   (211)  all_52_2 = e0
% 173.82/27.17  | | | | | 
% 173.82/27.17  | | | | | COMBINE_EQS: (95), (211) imply:
% 173.82/27.17  | | | | |   (212)  all_58_18 = e0
% 173.82/27.17  | | | | | 
% 173.82/27.17  | | | | | REDUCE: (150), (211) imply:
% 173.82/27.17  | | | | |   (213)   ~ (all_52_3 = e0)
% 173.82/27.17  | | | | | 
% 173.82/27.17  | | | | | REDUCE: (74), (211) imply:
% 173.82/27.17  | | | | |   (214)   ~ (all_52_6 = e0)
% 173.82/27.17  | | | | | 
% 173.82/27.17  | | | | | REDUCE: (15), (211) imply:
% 173.82/27.17  | | | | |   (215)   ~ (all_6_2 = e0)
% 173.82/27.17  | | | | | 
% 173.82/27.17  | | | | | REDUCE: (117), (211) imply:
% 173.82/27.17  | | | | |   (216)  op(e1, e0) = all_58_8
% 173.82/27.17  | | | | | 
% 173.82/27.17  | | | | | BETA: splitting (134) gives:
% 173.82/27.17  | | | | | 
% 173.82/27.17  | | | | | Case 1:
% 173.82/27.17  | | | | | | 
% 173.82/27.17  | | | | | |   (217)  all_56_0 = e0
% 173.82/27.17  | | | | | | 
% 173.82/27.17  | | | | | | COMBINE_EQS: (59), (217) imply:
% 173.82/27.17  | | | | | |   (218)  all_6_2 = e0
% 173.82/27.17  | | | | | | 
% 173.82/27.17  | | | | | | REDUCE: (199), (218) imply:
% 173.82/27.17  | | | | | |   (219)  $false
% 173.82/27.17  | | | | | | 
% 173.82/27.17  | | | | | | CLOSE: (219) is inconsistent.
% 173.82/27.17  | | | | | | 
% 173.82/27.17  | | | | | Case 2:
% 173.82/27.17  | | | | | | 
% 173.82/27.17  | | | | | |   (220)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 173.82/27.17  | | | | | | 
% 173.82/27.17  | | | | | | BETA: splitting (101) gives:
% 173.82/27.17  | | | | | | 
% 173.82/27.17  | | | | | | Case 1:
% 173.82/27.17  | | | | | | | 
% 173.82/27.17  | | | | | | |   (221)  all_56_4 = e0
% 173.82/27.17  | | | | | | | 
% 173.82/27.17  | | | | | | | COMBINE_EQS: (115), (221) imply:
% 173.82/27.17  | | | | | | |   (222)  all_52_8 = e0
% 173.82/27.17  | | | | | | | 
% 173.82/27.17  | | | | | | | COMBINE_EQS: (138), (222) imply:
% 173.82/27.17  | | | | | | |   (223)  all_58_24 = e0
% 173.82/27.17  | | | | | | | 
% 173.82/27.17  | | | | | | | REDUCE: (102), (222) imply:
% 173.82/27.17  | | | | | | |   (224)   ~ (all_52_9 = e0)
% 173.82/27.17  | | | | | | | 
% 173.82/27.17  | | | | | | | REDUCE: (130), (222) imply:
% 173.82/27.17  | | | | | | |   (225)   ~ (all_52_11 = e0)
% 173.82/27.17  | | | | | | | 
% 173.82/27.17  | | | | | | | SIMP: (225) implies:
% 173.82/27.17  | | | | | | |   (226)   ~ (all_52_11 = e0)
% 173.82/27.17  | | | | | | | 
% 173.82/27.17  | | | | | | | REDUCE: (114), (222) imply:
% 173.82/27.17  | | | | | | |   (227)   ~ (all_10_2 = e0)
% 173.82/27.17  | | | | | | | 
% 173.82/27.17  | | | | | | | REDUCE: (78), (222) imply:
% 173.82/27.17  | | | | | | |   (228)  op(e3, e0) = all_58_2
% 173.82/27.17  | | | | | | | 
% 173.82/27.17  | | | | | | | GROUND_INST: instantiating (156) with all_14_1, all_58_15, e0, e0,
% 173.82/27.17  | | | | | | |              simplifying with (207), (208) gives:
% 173.82/27.17  | | | | | | |   (229)  all_58_15 = all_14_1
% 173.82/27.17  | | | | | | | 
% 173.82/27.17  | | | | | | | GROUND_INST: instantiating (156) with e0, all_58_15, e0, e0,
% 173.82/27.17  | | | | | | |              simplifying with (208), (209) gives:
% 173.82/27.17  | | | | | | |   (230)  all_58_15 = e0
% 173.82/27.17  | | | | | | | 
% 173.82/27.17  | | | | | | | GROUND_INST: instantiating (156) with all_52_14, all_58_8, e0, e1,
% 173.82/27.17  | | | | | | |              simplifying with (26), (216) gives:
% 173.82/27.17  | | | | | | |   (231)  all_58_8 = all_52_14
% 173.82/27.17  | | | | | | | 
% 173.82/27.17  | | | | | | | GROUND_INST: instantiating (156) with all_52_12, all_58_2, e0, e3,
% 173.82/27.17  | | | | | | |              simplifying with (107), (228) gives:
% 173.82/27.17  | | | | | | |   (232)  all_58_2 = all_52_12
% 173.82/27.17  | | | | | | | 
% 173.82/27.17  | | | | | | | COMBINE_EQS: (229), (230) imply:
% 173.82/27.17  | | | | | | |   (233)  all_14_1 = e0
% 173.82/27.17  | | | | | | | 
% 173.82/27.17  | | | | | | | SIMP: (233) implies:
% 173.82/27.17  | | | | | | |   (234)  all_14_1 = e0
% 173.82/27.17  | | | | | | | 
% 173.82/27.17  | | | | | | | REDUCE: (206), (234) imply:
% 173.82/27.17  | | | | | | |   (235)  op(e0, e0) = all_14_0
% 173.82/27.17  | | | | | | | 
% 173.82/27.17  | | | | | | | GROUND_INST: instantiating (156) with e0, all_14_0, e0, e0,
% 173.82/27.17  | | | | | | |              simplifying with (209), (235) gives:
% 173.82/27.17  | | | | | | |   (236)  all_14_0 = e0
% 173.82/27.17  | | | | | | | 
% 173.82/27.17  | | | | | | | REDUCE: (105), (236) imply:
% 173.82/27.17  | | | | | | |   (237)   ~ (e1 = e0)
% 173.82/27.17  | | | | | | | 
% 173.82/27.17  | | | | | | | BETA: splitting (166) gives:
% 173.82/27.17  | | | | | | | 
% 173.82/27.17  | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | 
% 173.82/27.17  | | | | | | | |   (238)  all_54_13 = e0
% 173.82/27.17  | | | | | | | | 
% 173.82/27.17  | | | | | | | | REF_CLOSE: (184), (194), (238) are inconsistent by sub-proof
% 173.82/27.17  | | | | | | | |            #575.
% 173.82/27.17  | | | | | | | | 
% 173.82/27.17  | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | 
% 173.82/27.17  | | | | | | | |   (239)   ~ (all_54_13 = e0)
% 173.82/27.17  | | | | | | | |   (240)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 173.82/27.17  | | | | | | | | 
% 173.82/27.17  | | | | | | | | BETA: splitting (36) gives:
% 173.82/27.17  | | | | | | | | 
% 173.82/27.17  | | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | | 
% 173.82/27.17  | | | | | | | | |   (241)  all_54_6 = e0
% 173.82/27.17  | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | REF_CLOSE: (33), (42), (241) are inconsistent by sub-proof
% 173.82/27.17  | | | | | | | | |            #901.
% 173.82/27.17  | | | | | | | | | 
% 173.82/27.17  | | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | | 
% 173.82/27.17  | | | | | | | | |   (242)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 173.82/27.17  | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | BETA: splitting (133) gives:
% 173.82/27.17  | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | |   (243)  all_54_4 = e0
% 173.82/27.17  | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | REF_CLOSE: (149), (171), (243) are inconsistent by sub-proof
% 173.82/27.17  | | | | | | | | | |            #902.
% 173.82/27.17  | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | |   (244)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 173.82/27.17  | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | BETA: splitting (9) gives:
% 173.82/27.17  | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | |   (245)  all_54_0 = e0
% 173.82/27.17  | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | COMBINE_EQS: (146), (245) imply:
% 173.82/27.17  | | | | | | | | | | |   (246)  all_6_2 = e0
% 173.82/27.17  | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | REDUCE: (199), (246) imply:
% 173.82/27.17  | | | | | | | | | | |   (247)  $false
% 173.82/27.17  | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | CLOSE: (247) is inconsistent.
% 173.82/27.17  | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | |   (248)   ~ (all_54_0 = e0)
% 173.82/27.17  | | | | | | | | | | |   (249)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 173.82/27.17  | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | BETA: splitting (75) gives:
% 173.82/27.17  | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | |   (250)  all_54_14 = e0
% 173.82/27.17  | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | REF_CLOSE: (65), (226), (250) are inconsistent by sub-proof
% 173.82/27.17  | | | | | | | | | | | |            #799.
% 173.82/27.17  | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | |   (251)   ~ (all_54_14 = e0)
% 173.82/27.17  | | | | | | | | | | | |   (252)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 173.82/27.17  | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | BETA: splitting (129) gives:
% 173.82/27.17  | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | |   (253)  all_58_23 = e0
% 173.82/27.17  | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | COMBINE_EQS: (186), (253) imply:
% 173.82/27.17  | | | | | | | | | | | | |   (254)  all_4_1 = e0
% 173.82/27.17  | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | REDUCE: (194), (254) imply:
% 173.82/27.17  | | | | | | | | | | | | |   (255)  $false
% 173.82/27.17  | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | CLOSE: (255) is inconsistent.
% 173.82/27.17  | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | |   (256)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 173.82/27.17  | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | BETA: splitting (61) gives:
% 173.82/27.17  | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | |   (257)  all_58_27 = e0
% 173.82/27.17  | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | REF_CLOSE: (63), (226), (257) are inconsistent by sub-proof
% 173.82/27.17  | | | | | | | | | | | | | |            #663.
% 173.82/27.17  | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | |   (258)   ~ (all_58_27 = e0)
% 173.82/27.17  | | | | | | | | | | | | | |   (259)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 173.82/27.17  | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | BETA: splitting (18) gives:
% 173.82/27.17  | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | |   (260)  all_58_19 = e0
% 173.82/27.17  | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | COMBINE_EQS: (71), (260) imply:
% 173.82/27.17  | | | | | | | | | | | | | | |   (261)  all_52_3 = e0
% 173.82/27.17  | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | REDUCE: (203), (261) imply:
% 173.82/27.17  | | | | | | | | | | | | | | |   (262)  $false
% 173.82/27.17  | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | CLOSE: (262) is inconsistent.
% 173.82/27.17  | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | |   (263)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 173.82/27.17  | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 173.82/27.17  | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | |   (264)  all_56_2 = e2
% 173.82/27.17  | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | COMBINE_EQS: (104), (264) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | |   (265)  all_52_1 = e2
% 173.82/27.17  | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | COMBINE_EQS: (67), (265) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | |   (266)  all_58_17 = e2
% 173.82/27.17  | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | REDUCE: (136), (265) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | |   (267)   ~ (all_52_9 = e2)
% 173.82/27.17  | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | SIMP: (267) implies:
% 173.82/27.17  | | | | | | | | | | | | | | | |   (268)   ~ (all_52_9 = e2)
% 173.82/27.17  | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | REDUCE: (52), (265) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | |   (269)   ~ (all_6_2 = e2)
% 173.82/27.17  | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | SIMP: (269) implies:
% 173.82/27.17  | | | | | | | | | | | | | | | |   (270)   ~ (all_6_2 = e2)
% 173.82/27.17  | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 173.82/27.17  | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | |   (271)  all_58_26 = e1
% 173.82/27.17  | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | COMBINE_EQS: (43), (271) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | |   (272)  all_10_2 = e1
% 173.82/27.17  | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | SIMP: (272) implies:
% 173.82/27.17  | | | | | | | | | | | | | | | | |   (273)  all_10_2 = e1
% 173.82/27.17  | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | COMBINE_EQS: (40), (273) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | |   (274)  all_56_8 = e1
% 173.82/27.17  | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | REDUCE: (81), (273) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | |   (275)   ~ (all_52_6 = e1)
% 173.82/27.17  | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | REDUCE: (60), (273) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | |   (276)   ~ (all_52_9 = e1)
% 173.82/27.17  | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | REDUCE: (46), (273) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | |   (277)   ~ (all_52_11 = e1)
% 173.82/27.17  | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | REDUCE: (148), (273) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | |   (278)   ~ (all_52_14 = e1)
% 173.82/27.17  | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 173.82/27.17  | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | |   (279)  all_54_6 = e1
% 173.82/27.17  | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (276), (279) are inconsistent by sub-proof
% 173.82/27.17  | | | | | | | | | | | | | | | | | |            #886.
% 173.82/27.17  | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | |   (280)  all_54_6 = e3 | all_54_6 = e2
% 173.82/27.17  | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | |   (281)  all_54_6 = e2
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (268), (281) are inconsistent by sub-proof
% 173.82/27.17  | | | | | | | | | | | | | | | | | | |            #885.
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | |   (282)  all_54_6 = e3
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (33), (282) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | |   (283)  all_52_9 = e3
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | SIMP: (283) implies:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | |   (284)  all_52_9 = e3
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | REDUCE: (141), (284) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | |   (285)   ~ (all_52_11 = e3)
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | SIMP: (285) implies:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | |   (286)   ~ (all_52_11 = e3)
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | |   (287)  all_58_22 = e1
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (142), (287) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | |   (288)  all_52_6 = e1
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | REDUCE: (275), (288) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | |   (289)  $false
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | CLOSE: (289) is inconsistent.
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | |   (290)   ~ (all_58_22 = e1)
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | |   (291)  all_58_20 = e3 | all_58_21 = e2
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | |   (292)  all_54_14 = e1
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (65), (292) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | |   (293)  all_52_11 = e1
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | REDUCE: (277), (293) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | |   (294)  $false
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | CLOSE: (294) is inconsistent.
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | |   (295)  all_54_14 = e3 | all_54_14 = e2
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (295) gives:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | |   (296)  all_54_14 = e2
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (65), (296) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | |   (297)  all_52_11 = e2
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (191), (297) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | |   (298)   ~ (all_4_1 = e2)
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | SIMP: (298) implies:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | |   (299)   ~ (all_4_1 = e2)
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (297) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | |   (300)   ~ (e3 = e2)
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (301)  all_58_21 = e2
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (68), (164), (301) are inconsistent by sub-proof
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | |            #721.
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (302)  all_58_20 = e3
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (303)   ~ (all_58_21 = e2)
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (122), (302) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (304)  all_52_4 = e3
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4), (304) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (305)  all_56_1 = e3
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (303) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (306)   ~ (e2 = e0)
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (304) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (307)   ~ (all_52_6 = e3)
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (307) implies:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (308)   ~ (all_52_6 = e3)
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (103), (304) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (309)   ~ (all_6_2 = e3)
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (309) implies:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (310)   ~ (all_6_2 = e3)
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | |   (311)  all_54_0 = e1
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (146), (311) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | |   (312)  all_6_2 = e1
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (312) implies:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | |   (313)  all_6_2 = e1
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (313) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | |   (314)   ~ (all_52_3 = e1)
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (310), (313) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | |   (315)   ~ (e3 = e1)
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (270), (313) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | |   (316)   ~ (e2 = e1)
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (49) gives:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  all_56_6 = e3
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (106), (210), (317) are inconsistent by sub-proof
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | |            #574.
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (318)   ~ (all_56_6 = e3)
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (210), (318) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (320)   ~ (e3 = e0)
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (174) gives:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  all_56_1 = e2
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (77), (305), (321) are inconsistent by sub-proof
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | |            #573.
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  all_56_3 = e2
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (140), (323) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  e2 = e0
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (324) implies:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  e2 = e0
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (325) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  all_56_2 = e0
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (325) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  all_58_17 = e0
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11), (13), (43), (59), (89), (95), (97),
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (106), (135), (154), (164), (178), (223), (259),
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (263), (268), (314), (326), (327) are inconsistent
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #656.
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)   ~ (all_56_3 = e2)
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  all_56_7 = e2 | all_56_13 = e2
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (319) gives:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  all_56_7 = e3
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (172), (330) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  all_52_6 = e3
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (308), (331) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  $false
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (332) is inconsistent.
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  all_56_8 = e3 | all_56_11 = e3
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (26), (55), (68), (80), (140), (142), (147),
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (151), (156), (162), (164), (169), (170), (184),
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (185), (197), (240), (256), (274), (275), (278),
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (299), (302), (305), (329), (333) are inconsistent
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #568.
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | |   (334)  all_54_0 = e3 | all_54_0 = e2
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (270), (310), (334) are inconsistent by
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #843.
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | |   (335)  all_54_14 = e3
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (65), (335) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | |   (336)  all_52_11 = e3
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (336) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | |   (337)  $false
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (337) is inconsistent.
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.17  | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | End of split
% 173.82/27.17  | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | |   (338)  all_58_24 = e3 | all_58_25 = e2
% 173.82/27.17  | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | REF_CLOSE: (106), (154), (223), (268), (338) are inconsistent
% 173.82/27.17  | | | | | | | | | | | | | | | | |            by sub-proof #921.
% 173.82/27.17  | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | End of split
% 173.82/27.17  | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | |   (339)   ~ (all_56_2 = e2)
% 173.82/27.17  | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | REDUCE: (104), (339) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | |   (340)   ~ (all_52_1 = e2)
% 173.82/27.17  | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 173.82/27.17  | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | |   (341)  all_58_18 = e1
% 173.82/27.17  | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | COMBINE_EQS: (212), (341) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | |   (342)  e1 = e0
% 173.82/27.17  | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | REDUCE: (170), (342) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | |   (343)  $false
% 173.82/27.17  | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | CLOSE: (343) is inconsistent.
% 173.82/27.17  | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | |   (344)  all_58_16 = e3 | all_58_17 = e2
% 173.82/27.17  | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | BETA: splitting (344) gives:
% 173.82/27.17  | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | |   (345)  all_58_17 = e2
% 173.82/27.17  | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | REF_CLOSE: (67), (340), (345) are inconsistent by sub-proof
% 173.82/27.17  | | | | | | | | | | | | | | | | | |            #609.
% 173.82/27.17  | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | |   (346)  all_58_16 = e3
% 173.82/27.17  | | | | | | | | | | | | | | | | | |   (347)   ~ (all_58_17 = e2)
% 173.82/27.17  | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (97), (346) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | |   (348)  all_6_2 = e3
% 173.82/27.17  | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (59), (348) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | |   (349)  all_56_0 = e3
% 173.82/27.17  | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | REDUCE: (52), (348) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | |   (350)   ~ (all_52_1 = e3)
% 173.82/27.17  | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | REDUCE: (103), (348) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | |   (351)   ~ (all_52_4 = e3)
% 173.82/27.17  | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | REDUCE: (23), (348) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | |   (352)   ~ (all_52_12 = e3)
% 173.82/27.17  | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | |   (353)  all_54_4 = e1
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (171), (353) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | |   (354)  all_52_1 = e1
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | SIMP: (354) implies:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | |   (355)  all_52_1 = e1
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (67), (355) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | |   (356)  all_58_17 = e1
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | REDUCE: (350), (355) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | |   (357)   ~ (e3 = e1)
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | REDUCE: (340), (355) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | |   (358)   ~ (e2 = e1)
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | |   (359)  all_58_22 = e1
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (142), (359) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | |   (360)  all_52_6 = e1
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (172), (360) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | |   (361)  all_56_7 = e1
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | BETA: splitting (92) gives:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | |   (362)  all_56_9 = e1
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (72), (362) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | |   (363)  all_52_12 = e1
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (363) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | |   (364)  op(e3, e0) = e1
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | |   (365)  all_56_1 = e3
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (351), (365) are inconsistent by sub-proof
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | |            #567.
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | |   (366)  all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (366) gives:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (367)  all_56_3 = e3
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (140), (367) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (368)  e3 = e0
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (106), (344), (346), (356), (368) are
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #566.
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (369)  all_56_7 = e3 | all_56_13 = e3
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | |   (370)  all_56_7 = e3
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (361), (370) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | |   (371)  e3 = e1
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (371) implies:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | |   (372)  e3 = e1
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (372) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | |   (373)  $false
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (373) is inconsistent.
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | |   (374)  all_56_13 = e3
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (185), (374) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | |   (375)  all_4_1 = e3
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (375) implies:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | |   (376)  all_4_1 = e3
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (64), (376) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | |   (377)  all_24_1 = e3
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (376) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | |   (378)  op(e3, e0) = all_4_0
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (86), (94), (156), (364), (377), (378) are
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #565.
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | |   (379)   ~ (all_56_9 = e1)
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (379) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | |   (380)   ~ (all_52_12 = e1)
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (145) gives:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | |   (381)  all_56_0 = e1
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (381) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | |   (382)  e3 = e1
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | SIMP: (382) implies:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | |   (383)  e3 = e1
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (383) imply:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | |   (384)  $false
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (384) is inconsistent.
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | |   (385)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13), (44), (68), (72), (122), (142), (164),
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | |            (170), (221), (256), (380), (385) are inconsistent
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #673.
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | |   (386)  all_58_20 = e3 | all_58_21 = e2
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (68), (122), (164), (351), (386) are inconsistent
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | |            by sub-proof #720.
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | |   (387)  all_54_4 = e3 | all_54_4 = e2
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (171), (340), (350), (387) are inconsistent by
% 173.82/27.17  | | | | | | | | | | | | | | | | | | |            sub-proof #880.
% 173.82/27.17  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.17  | | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | | End of split
% 173.82/27.17  | | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | | End of split
% 173.82/27.17  | | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | | End of split
% 173.82/27.17  | | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | | End of split
% 173.82/27.17  | | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | | End of split
% 173.82/27.17  | | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | | End of split
% 173.82/27.17  | | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | | End of split
% 173.82/27.17  | | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | | End of split
% 173.82/27.17  | | | | | | | | | | 
% 173.82/27.17  | | | | | | | | | End of split
% 173.82/27.17  | | | | | | | | | 
% 173.82/27.17  | | | | | | | | End of split
% 173.82/27.17  | | | | | | | | 
% 173.82/27.17  | | | | | | | End of split
% 173.82/27.17  | | | | | | | 
% 173.82/27.17  | | | | | | Case 2:
% 173.82/27.17  | | | | | | | 
% 173.82/27.17  | | | | | | |   (388)   ~ (all_56_4 = e0)
% 173.82/27.17  | | | | | | | 
% 173.82/27.17  | | | | | | | REDUCE: (115), (388) imply:
% 173.82/27.17  | | | | | | |   (389)   ~ (all_52_8 = e0)
% 173.82/27.17  | | | | | | | 
% 173.82/27.17  | | | | | | | REF_CLOSE: (4), (50), (72), (115), (204), (220), (389) are
% 173.82/27.17  | | | | | | |            inconsistent by sub-proof #562.
% 173.82/27.17  | | | | | | | 
% 173.82/27.17  | | | | | | End of split
% 173.82/27.17  | | | | | | 
% 173.82/27.17  | | | | | End of split
% 173.82/27.17  | | | | | 
% 173.82/27.17  | | | | Case 2:
% 173.82/27.17  | | | | | 
% 173.82/27.17  | | | | |   (390)   ~ (all_56_6 = e0)
% 173.82/27.17  | | | | | 
% 173.82/27.17  | | | | | REF_CLOSE: (5), (59), (104), (126), (135), (149), (199), (203), (390)
% 173.82/27.17  | | | | |            are inconsistent by sub-proof #561.
% 173.82/27.17  | | | | | 
% 173.82/27.17  | | | | End of split
% 173.82/27.17  | | | | 
% 173.82/27.17  | | | Case 2:
% 173.82/27.17  | | | | 
% 173.82/27.17  | | | |   (391)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) & (all_56_12
% 173.82/27.17  | | | |            = e0 | all_56_13 = e0 | all_56_14 = e0)
% 173.82/27.17  | | | | 
% 173.82/27.17  | | | | ALPHA: (391) implies:
% 173.82/27.17  | | | |   (392)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 173.82/27.17  | | | | 
% 173.82/27.17  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12),
% 173.82/27.17  | | | |            (13), (15), (16), (17), (18), (19), (21), (22), (23), (26),
% 173.82/27.17  | | | |            (27), (30), (31), (33), (35), (36), (37), (38), (39), (40),
% 173.82/27.17  | | | |            (41), (43), (44), (45), (46), (47), (48), (49), (50), (51),
% 173.82/27.17  | | | |            (52), (53), (54), (55), (56), (59), (60), (61), (62), (63),
% 173.82/27.17  | | | |            (65), (67), (68), (71), (72), (74), (75), (76), (77), (78),
% 173.82/27.17  | | | |            (80), (81), (82), (83), (87), (89), (90), (92), (93), (95),
% 173.82/27.17  | | | |            (96), (97), (102), (103), (104), (106), (107), (108), (109),
% 173.82/27.17  | | | |            (111), (112), (113), (114), (115), (117), (119), (121),
% 173.82/27.17  | | | |            (122), (123), (126), (127), (128), (129), (130), (132),
% 173.82/27.17  | | | |            (133), (134), (135), (136), (138), (139), (140), (141),
% 173.82/27.17  | | | |            (142), (144), (145), (146), (147), (148), (149), (150),
% 173.82/27.17  | | | |            (151), (152), (153), (154), (156), (157), (158), (159),
% 173.82/27.17  | | | |            (161), (162), (163), (164), (165), (167), (169), (170),
% 173.82/27.17  | | | |            (171), (172), (173), (174), (175), (176), (177), (178),
% 173.82/27.17  | | | |            (179), (180), (181), (183), (185), (186), (187), (188),
% 173.82/27.17  | | | |            (189), (191), (194), (197), (199), (392) are inconsistent by
% 173.82/27.17  | | | |            sub-proof #521.
% 173.82/27.17  | | | | 
% 173.82/27.17  | | | End of split
% 173.82/27.17  | | | 
% 173.82/27.17  | | Case 2:
% 173.82/27.17  | | | 
% 173.82/27.17  | | |   (393)  all_42_2 = e0
% 173.82/27.17  | | | 
% 173.82/27.17  | | | COMBINE_EQS: (69), (393) imply:
% 173.82/27.17  | | |   (394)  all_6_2 = e0
% 173.82/27.17  | | | 
% 173.82/27.17  | | | SIMP: (394) implies:
% 173.82/27.17  | | |   (395)  all_6_2 = e0
% 173.82/27.17  | | | 
% 173.82/27.18  | | | REF_CLOSE: (1), (3), (4), (5), (11), (12), (13), (15), (16), (17), (18),
% 173.82/27.18  | | |            (19), (20), (21), (22), (25), (26), (27), (28), (30), (31),
% 173.82/27.18  | | |            (33), (35), (36), (40), (41), (42), (43), (44), (45), (46),
% 173.82/27.18  | | |            (47), (49), (52), (53), (54), (55), (58), (59), (60), (62),
% 173.82/27.18  | | |            (64), (66), (67), (68), (71), (72), (74), (77), (80), (81),
% 173.82/27.18  | | |            (85), (86), (87), (88), (89), (90), (91), (92), (93), (94),
% 173.82/27.18  | | |            (95), (96), (97), (99), (101), (102), (103), (104), (106),
% 173.82/27.18  | | |            (107), (108), (109), (111), (112), (113), (114), (115), (116),
% 173.82/27.18  | | |            (119), (120), (121), (122), (127), (128), (129), (130), (131),
% 173.82/27.18  | | |            (132), (135), (138), (139), (140), (141), (142), (144), (145),
% 173.82/27.18  | | |            (147), (148), (150), (151), (152), (154), (155), (156), (157),
% 173.82/27.18  | | |            (158), (159), (161), (162), (163), (164), (165), (166), (167),
% 173.82/27.18  | | |            (169), (170), (172), (174), (175), (176), (177), (178), (181),
% 173.82/27.18  | | |            (184), (185), (186), (187), (188), (191), (197), (395) are
% 173.82/27.18  | | |            inconsistent by sub-proof #488.
% 173.82/27.18  | | | 
% 173.82/27.18  | | End of split
% 173.82/27.18  | | 
% 173.82/27.18  | End of split
% 173.82/27.18  | 
% 173.82/27.18  End of proof
% 173.82/27.18  
% 173.82/27.18  Sub-proof #488 shows that the following formulas are inconsistent:
% 173.82/27.18  ----------------------------------------------------------------
% 173.82/27.18    (1)   ~ (all_52_12 = all_14_2)
% 173.82/27.18    (2)  all_54_8 = all_52_2
% 173.82/27.18    (3)  all_56_1 = all_52_4
% 173.82/27.18    (4)  all_56_12 = all_52_3
% 173.82/27.18    (5)   ~ (all_10_2 = e0)
% 173.82/27.18    (6)   ~ (all_52_8 = all_52_12)
% 173.82/27.18    (7)   ~ (e3 = e1)
% 173.82/27.18    (8)   ~ (all_52_2 = all_6_2)
% 173.82/27.18    (9)   ~ (all_52_3 = all_14_2)
% 173.82/27.18    (10)   ~ (all_52_4 = all_4_2)
% 173.82/27.18    (11)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 173.82/27.18    (12)  all_54_3 = all_52_12
% 173.82/27.18    (13)  all_56_5 = all_52_9
% 173.82/27.18    (14)   ~ (all_52_3 = all_52_11)
% 173.82/27.18    (15)  op(all_6_2, e3) = all_6_1
% 173.82/27.18    (16)  all_58_23 = all_4_1
% 173.82/27.18    (17)  op(e3, all_6_2) = all_58_0
% 173.82/27.18    (18)  op(e1, e0) = all_52_14
% 173.82/27.18    (19)  all_56_15 = all_14_2
% 173.82/27.18    (20)   ~ (all_52_11 = all_14_2)
% 173.82/27.18    (21)  all_54_1 = all_52_4
% 173.82/27.18    (22)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 173.82/27.18    (23)  all_56_13 = all_4_1
% 173.82/27.18    (24)  all_54_6 = all_52_9
% 173.82/27.18    (25)  all_56_14 = all_52_11
% 173.82/27.18    (26)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 173.82/27.18    (27)  all_56_8 = all_10_2
% 173.82/27.18    (28)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 173.82/27.18    (29)   ~ (all_52_9 = e0)
% 173.82/27.18    (30)  all_58_26 = all_10_2
% 173.82/27.18    (31)   ~ (all_52_4 = all_52_6)
% 173.82/27.18    (32)  all_58_31 = all_14_2
% 173.82/27.18    (33)   ~ (all_52_11 = all_10_2)
% 173.82/27.18    (34)   ~ (all_52_9 = all_52_13)
% 173.82/27.18    (35)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 173.82/27.18    (36)   ~ (all_52_1 = all_6_2)
% 173.82/27.18    (37)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 173.82/27.18    (38)  all_54_2 = all_52_8
% 173.82/27.18    (39)  all_56_11 = all_52_14
% 173.82/27.18    (40)  all_56_2 = e2 | all_56_3 = e2 | all_56_5 = e2 | all_56_10 = e2
% 173.82/27.18    (41)  all_56_0 = all_6_2
% 173.82/27.18    (42)   ~ (all_52_9 = all_10_2)
% 173.82/27.18    (43)  all_58_30 = all_52_14
% 173.82/27.18    (44)  all_24_1 = all_4_1
% 173.82/27.18    (45)   ~ (all_52_3 = all_4_1)
% 173.82/27.18    (46)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 173.82/27.18    (47)  all_58_17 = all_52_1
% 173.82/27.18    (48)  all_58_21 = e0
% 173.82/27.18    (49)  all_58_19 = all_52_3
% 173.82/27.18    (50)  all_56_9 = all_52_12
% 173.82/27.18    (51)   ~ (all_52_2 = all_52_6)
% 173.82/27.18    (52)   ~ (all_52_4 = all_4_1)
% 173.82/27.18    (53)   ~ (e3 = e2)
% 173.82/27.18    (54)   ~ (e2 = e1)
% 173.82/27.18    (55)   ~ (all_52_6 = all_10_2)
% 173.82/27.18    (56)   ~ (all_52_11 = all_4_1)
% 173.82/27.18    (57)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 173.82/27.18    (58)  all_24_0 = all_4_0
% 173.82/27.18    (59)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 173.82/27.18    (60)   ~ (all_52_13 = all_14_2)
% 173.82/27.18    (61)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 173.82/27.18    (62)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 173.82/27.18    (63)  all_54_9 = all_52_6
% 173.82/27.18    (64)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 173.82/27.18    (65)   ~ (all_52_13 = all_52_14)
% 173.82/27.18    (66)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3)
% 173.82/27.18    (67)  all_58_18 = all_52_2
% 173.82/27.18    (68)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 173.82/27.18    (69)  all_58_16 = all_6_2
% 173.82/27.18    (70)  op(e0, e3) = all_52_3
% 173.82/27.18    (71)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 173.82/27.18    (72)   ~ (all_52_8 = all_52_9)
% 173.82/27.18    (73)   ~ (all_52_4 = all_6_2)
% 173.82/27.18    (74)  all_56_2 = all_52_1
% 173.82/27.18    (75)   ~ (e3 = e0)
% 173.82/27.18    (76)  op(e3, e0) = all_52_12
% 173.82/27.18    (77)  all_58_29 = all_52_13
% 173.82/27.18    (78)   ~ (all_40_0 = e3) |  ~ (all_40_1 = e1)
% 173.82/27.18    (79)   ~ (all_52_1 = all_52_2)
% 173.82/27.18    (80)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 173.82/27.18    (81)  all_6_2 = e0
% 173.82/27.18    (82)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 173.82/27.18    (83)   ~ (all_52_6 = all_52_14)
% 173.82/27.18    (84)   ~ (all_52_8 = all_10_2)
% 173.82/27.18    (85)  all_56_4 = all_52_8
% 173.82/27.18    (86)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 173.82/27.18    (87)   ~ (all_52_1 = all_52_13)
% 173.82/27.18    (88)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 173.82/27.18    (89)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 173.82/27.18    (90)  all_58_20 = all_52_4
% 173.82/27.18    (91)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 173.82/27.18    (92)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 173.82/27.18    (93)  all_54_13 = all_4_1
% 173.82/27.18    (94)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 173.82/27.18    (95)   ~ (all_52_8 = all_52_11)
% 173.82/27.18    (96)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 173.82/27.18    (97)   ~ (all_52_8 = all_6_2)
% 173.82/27.18    (98)  all_56_6 = all_52_2
% 173.82/27.18    (99)  all_58_24 = all_52_8
% 173.82/27.18    (100)   ~ (all_52_12 = all_52_14)
% 173.82/27.18    (101)  all_56_3 = e0
% 173.82/27.18    (102)   ~ (all_52_9 = all_52_11)
% 173.82/27.18    (103)  all_58_22 = all_52_6
% 173.82/27.18    (104)   ~ (all_52_4 = all_52_12)
% 173.82/27.18    (105)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 173.82/27.18    (106)  all_40_0 = all_4_0
% 173.82/27.18    (107)   ~ (all_52_14 = all_10_2)
% 173.82/27.18    (108)   ~ (all_52_2 = all_52_3)
% 173.82/27.18    (109)  op(all_4_1, e0) = all_4_0
% 173.82/27.18    (110)   ~ (all_52_4 = all_52_8)
% 173.82/27.18    (111)  all_58_25 = all_52_9
% 173.82/27.18    (112)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 173.82/27.18    (113)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.82/27.18             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.82/27.18    (114)   ~ (all_52_6 = e0)
% 173.82/27.18    (115)  all_54_12 = all_52_3
% 173.82/27.18    (116)   ~ (all_52_2 = all_52_14)
% 173.82/27.18    (117)  all_58_21 = all_4_2
% 173.82/27.18    (118)  all_40_1 = all_4_1
% 173.82/27.18    (119)  all_56_10 = all_52_13
% 173.82/27.18    (120)   ~ (e2 = e0)
% 173.82/27.18    (121)   ~ (all_52_1 = all_52_3)
% 173.82/27.18    (122)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 173.82/27.18    (123)  all_58_28 = all_52_12
% 173.82/27.18    (124)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 173.82/27.18    (125)   ~ (e1 = e0)
% 173.82/27.18    (126)  all_56_7 = all_52_6
% 173.82/27.18    (127)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 173.82/27.18    (128)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 173.82/27.18    (129)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 173.82/27.18           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 173.82/27.18           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.82/27.18           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 173.82/27.18           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.82/27.18           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 173.82/27.18           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.82/27.18           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 173.82/27.18           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 173.82/27.18           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 173.82/27.18             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 173.82/27.18             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 173.82/27.18             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 173.82/27.18             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 173.82/27.18             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 173.82/27.18             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 173.82/27.18             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 173.82/27.18             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 173.82/27.18             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 173.82/27.18             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 173.82/27.18             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 173.82/27.18             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 173.82/27.18             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 173.82/27.18             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 173.82/27.18             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 173.82/27.18             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 173.82/27.18           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 173.82/27.18           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.82/27.18           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 173.82/27.18             all_58_30 = e0 & e1 = e0)
% 173.82/27.18    (130)  all_54_7 = all_52_13
% 173.82/27.18    (131)   ~ (all_52_2 = all_10_2)
% 173.82/27.18    (132)   ~ (all_52_12 = all_52_13)
% 173.82/27.18  
% 173.82/27.18  Begin of proof
% 173.82/27.18  | 
% 173.82/27.18  | COMBINE_EQS: (41), (81) imply:
% 173.82/27.18  |   (133)  all_56_0 = e0
% 173.82/27.18  | 
% 173.82/27.18  | COMBINE_EQS: (69), (81) imply:
% 173.82/27.18  |   (134)  all_58_16 = e0
% 173.82/27.18  | 
% 173.82/27.18  | REDUCE: (36), (81) imply:
% 173.82/27.18  |   (135)   ~ (all_52_1 = e0)
% 173.82/27.18  | 
% 173.82/27.18  | REDUCE: (8), (81) imply:
% 173.82/27.18  |   (136)   ~ (all_52_2 = e0)
% 173.82/27.18  | 
% 173.82/27.18  | REDUCE: (73), (81) imply:
% 173.82/27.18  |   (137)   ~ (all_52_4 = e0)
% 173.82/27.18  | 
% 173.82/27.18  | REDUCE: (81), (97) imply:
% 173.82/27.18  |   (138)   ~ (all_52_8 = e0)
% 173.82/27.18  | 
% 173.82/27.18  | REDUCE: (15), (81) imply:
% 173.82/27.18  |   (139)  op(e0, e3) = all_6_1
% 173.82/27.18  | 
% 173.82/27.18  | REDUCE: (17), (81) imply:
% 173.82/27.18  |   (140)  op(e3, e0) = all_58_0
% 173.82/27.18  | 
% 173.82/27.18  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13),
% 173.82/27.18  |            (14), (16), (18), (19), (20), (21), (22), (23), (24), (25), (26),
% 173.82/27.18  |            (27), (28), (29), (30), (31), (32), (33), (34), (35), (37), (38),
% 173.82/27.18  |            (39), (40), (42), (43), (44), (45), (46), (47), (48), (49), (50),
% 173.82/27.18  |            (51), (52), (53), (54), (55), (56), (57), (58), (59), (60), (61),
% 173.82/27.18  |            (62), (63), (64), (65), (66), (67), (68), (70), (71), (72), (74),
% 173.82/27.18  |            (75), (76), (77), (78), (79), (80), (82), (83), (84), (85), (86),
% 173.82/27.18  |            (87), (88), (89), (90), (91), (92), (93), (94), (95), (96), (98),
% 173.82/27.18  |            (99), (100), (101), (102), (103), (104), (105), (106), (107),
% 173.82/27.18  |            (108), (109), (110), (111), (112), (113), (114), (115), (116),
% 173.82/27.18  |            (117), (118), (119), (120), (121), (122), (123), (124), (125),
% 173.82/27.18  |            (126), (127), (128), (129), (130), (131), (132), (133), (134),
% 173.82/27.18  |            (135), (136), (137), (138), (139), (140) are inconsistent by
% 173.82/27.18  |            sub-proof #489.
% 173.82/27.18  | 
% 173.82/27.18  End of proof
% 173.82/27.18  
% 173.82/27.18  Sub-proof #489 shows that the following formulas are inconsistent:
% 173.82/27.18  ----------------------------------------------------------------
% 173.82/27.18    (1)   ~ (all_52_12 = all_14_2)
% 173.82/27.18    (2)  all_54_8 = all_52_2
% 173.82/27.18    (3)  all_56_1 = all_52_4
% 173.82/27.18    (4)  all_56_12 = all_52_3
% 173.82/27.18    (5)   ~ (all_10_2 = e0)
% 173.82/27.18    (6)   ~ (all_52_8 = all_52_12)
% 173.82/27.18    (7)   ~ (e3 = e1)
% 173.82/27.18    (8)   ~ (all_52_3 = all_14_2)
% 173.82/27.18    (9)   ~ (all_52_4 = all_4_2)
% 173.82/27.18    (10)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 173.82/27.18    (11)  all_54_3 = all_52_12
% 173.82/27.18    (12)  all_56_5 = all_52_9
% 173.82/27.18    (13)   ~ (all_52_3 = all_52_11)
% 173.82/27.18    (14)  all_58_23 = all_4_1
% 173.82/27.18    (15)  op(e1, e0) = all_52_14
% 173.82/27.18    (16)  all_56_15 = all_14_2
% 173.82/27.18    (17)   ~ (all_52_11 = all_14_2)
% 173.82/27.18    (18)  all_54_1 = all_52_4
% 173.82/27.18    (19)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 173.82/27.18    (20)  all_56_13 = all_4_1
% 173.82/27.18    (21)  all_54_6 = all_52_9
% 173.82/27.18    (22)  all_56_14 = all_52_11
% 173.82/27.18    (23)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 173.82/27.18    (24)  all_56_8 = all_10_2
% 173.82/27.18    (25)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 173.82/27.18    (26)   ~ (all_52_9 = e0)
% 173.82/27.18    (27)  all_58_26 = all_10_2
% 173.82/27.18    (28)   ~ (all_52_4 = all_52_6)
% 173.82/27.18    (29)  all_58_31 = all_14_2
% 173.82/27.18    (30)   ~ (all_52_11 = all_10_2)
% 173.82/27.18    (31)   ~ (all_52_9 = all_52_13)
% 173.82/27.18    (32)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 173.82/27.18    (33)   ~ (all_52_4 = e0)
% 173.82/27.18    (34)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 173.82/27.18    (35)  all_54_2 = all_52_8
% 173.82/27.18    (36)  all_56_11 = all_52_14
% 173.82/27.18    (37)  all_56_2 = e2 | all_56_3 = e2 | all_56_5 = e2 | all_56_10 = e2
% 173.82/27.18    (38)   ~ (all_52_9 = all_10_2)
% 173.82/27.18    (39)  all_58_30 = all_52_14
% 173.82/27.18    (40)  all_24_1 = all_4_1
% 173.82/27.18    (41)   ~ (all_52_3 = all_4_1)
% 173.82/27.18    (42)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 173.82/27.18    (43)  all_58_17 = all_52_1
% 173.82/27.18    (44)  all_58_21 = e0
% 173.82/27.18    (45)  all_58_19 = all_52_3
% 173.82/27.18    (46)  all_56_9 = all_52_12
% 173.82/27.18    (47)   ~ (all_52_2 = all_52_6)
% 173.82/27.18    (48)   ~ (all_52_4 = all_4_1)
% 173.82/27.18    (49)   ~ (e3 = e2)
% 173.82/27.18    (50)   ~ (e2 = e1)
% 173.82/27.18    (51)   ~ (all_52_6 = all_10_2)
% 173.82/27.18    (52)  op(e3, e0) = all_58_0
% 173.82/27.18    (53)   ~ (all_52_2 = e0)
% 173.82/27.18    (54)   ~ (all_52_11 = all_4_1)
% 173.82/27.18    (55)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 173.82/27.18    (56)  all_24_0 = all_4_0
% 173.82/27.18    (57)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 173.82/27.18    (58)   ~ (all_52_13 = all_14_2)
% 173.82/27.18    (59)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 173.82/27.18    (60)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 173.82/27.18    (61)  all_54_9 = all_52_6
% 173.82/27.18    (62)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 173.82/27.18    (63)   ~ (all_52_13 = all_52_14)
% 173.82/27.18    (64)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3)
% 173.82/27.18    (65)  all_58_18 = all_52_2
% 173.82/27.18    (66)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 173.82/27.18    (67)  all_58_16 = e0
% 173.82/27.18    (68)  op(e0, e3) = all_52_3
% 173.82/27.18    (69)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 173.82/27.18    (70)   ~ (all_52_8 = all_52_9)
% 173.82/27.18    (71)  all_56_2 = all_52_1
% 173.82/27.18    (72)  op(e0, e3) = all_6_1
% 173.82/27.18    (73)   ~ (e3 = e0)
% 173.82/27.18    (74)  op(e3, e0) = all_52_12
% 173.82/27.18    (75)  all_58_29 = all_52_13
% 173.82/27.18    (76)   ~ (all_40_0 = e3) |  ~ (all_40_1 = e1)
% 173.82/27.18    (77)   ~ (all_52_1 = all_52_2)
% 173.82/27.18    (78)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 173.82/27.18    (79)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 173.82/27.18    (80)   ~ (all_52_6 = all_52_14)
% 173.82/27.18    (81)   ~ (all_52_8 = all_10_2)
% 173.82/27.18    (82)  all_56_4 = all_52_8
% 173.82/27.18    (83)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 173.82/27.18    (84)   ~ (all_52_1 = all_52_13)
% 173.82/27.18    (85)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 173.82/27.18    (86)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 173.82/27.18    (87)  all_58_20 = all_52_4
% 173.82/27.18    (88)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 173.82/27.18    (89)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 173.82/27.18    (90)  all_54_13 = all_4_1
% 173.82/27.18    (91)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 173.82/27.18    (92)   ~ (all_52_8 = all_52_11)
% 173.82/27.18    (93)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 173.82/27.18    (94)  all_56_6 = all_52_2
% 173.82/27.18    (95)  all_58_24 = all_52_8
% 173.82/27.18    (96)   ~ (all_52_12 = all_52_14)
% 173.82/27.18    (97)  all_56_3 = e0
% 173.82/27.18    (98)   ~ (all_52_9 = all_52_11)
% 173.82/27.18    (99)  all_58_22 = all_52_6
% 173.82/27.18    (100)   ~ (all_52_4 = all_52_12)
% 173.82/27.18    (101)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 173.82/27.18    (102)  all_40_0 = all_4_0
% 173.82/27.18    (103)   ~ (all_52_14 = all_10_2)
% 173.82/27.18    (104)   ~ (all_52_1 = e0)
% 173.82/27.18    (105)   ~ (all_52_2 = all_52_3)
% 173.82/27.18    (106)  op(all_4_1, e0) = all_4_0
% 173.82/27.18    (107)   ~ (all_52_4 = all_52_8)
% 173.82/27.18    (108)  all_58_25 = all_52_9
% 173.82/27.18    (109)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 173.82/27.18    (110)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.82/27.18             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.82/27.18    (111)   ~ (all_52_6 = e0)
% 173.82/27.18    (112)  all_54_12 = all_52_3
% 173.82/27.18    (113)   ~ (all_52_2 = all_52_14)
% 173.82/27.18    (114)  all_58_21 = all_4_2
% 173.82/27.18    (115)  all_40_1 = all_4_1
% 173.82/27.18    (116)  all_56_10 = all_52_13
% 173.82/27.18    (117)  all_56_0 = e0
% 173.82/27.18    (118)   ~ (e2 = e0)
% 173.82/27.18    (119)   ~ (all_52_1 = all_52_3)
% 173.82/27.18    (120)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 173.82/27.18    (121)  all_58_28 = all_52_12
% 173.82/27.18    (122)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 173.82/27.18    (123)   ~ (e1 = e0)
% 173.82/27.18    (124)  all_56_7 = all_52_6
% 173.82/27.18    (125)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 173.82/27.18    (126)   ~ (all_52_8 = e0)
% 173.82/27.18    (127)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 173.82/27.18    (128)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 173.82/27.18           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 173.82/27.18           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.82/27.18           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 173.82/27.18           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.82/27.18           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 173.82/27.18           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.82/27.18           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 173.82/27.18           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 173.82/27.18           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 173.82/27.18             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 173.82/27.18             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 173.82/27.18             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 173.82/27.18             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 173.82/27.18             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 173.82/27.18             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 173.82/27.18             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 173.82/27.18             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 173.82/27.18             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 173.82/27.18             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 173.82/27.18             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 173.82/27.18             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 173.82/27.18             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 173.82/27.18             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 173.82/27.18             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 173.82/27.18             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 173.82/27.18           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 173.82/27.18           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.82/27.18           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 173.82/27.18             all_58_30 = e0 & e1 = e0)
% 173.82/27.18    (129)  all_54_7 = all_52_13
% 173.82/27.18    (130)   ~ (all_52_2 = all_10_2)
% 173.82/27.18    (131)   ~ (all_52_12 = all_52_13)
% 173.82/27.18  
% 173.82/27.18  Begin of proof
% 173.82/27.18  | 
% 173.82/27.18  | BETA: splitting (89) gives:
% 173.82/27.18  | 
% 173.82/27.18  | Case 1:
% 173.82/27.18  | | 
% 173.82/27.18  | |   (132)  all_56_6 = e0
% 173.82/27.18  | | 
% 173.82/27.18  | | REF_CLOSE: (53), (94), (132) are inconsistent by sub-proof #520.
% 173.82/27.18  | | 
% 173.82/27.18  | Case 2:
% 173.82/27.18  | | 
% 173.82/27.18  | |   (133)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 173.82/27.18  | | 
% 173.82/27.18  | | BETA: splitting (69) gives:
% 173.82/27.18  | | 
% 173.82/27.18  | | Case 1:
% 173.82/27.18  | | | 
% 173.82/27.18  | | |   (134)  all_56_4 = e0
% 173.82/27.18  | | | 
% 173.82/27.18  | | | REF_CLOSE: (82), (126), (134) are inconsistent by sub-proof #564.
% 173.82/27.18  | | | 
% 173.82/27.18  | | Case 2:
% 173.82/27.18  | | | 
% 173.82/27.18  | | |   (135)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 173.82/27.18  | | | 
% 173.82/27.18  | | | BETA: splitting (135) gives:
% 173.82/27.18  | | | 
% 173.82/27.18  | | | Case 1:
% 173.82/27.18  | | | | 
% 173.82/27.18  | | | |   (136)  all_56_5 = e0
% 173.82/27.18  | | | | 
% 173.82/27.18  | | | | REF_CLOSE: (12), (26), (136) are inconsistent by sub-proof #519.
% 173.82/27.18  | | | | 
% 173.82/27.18  | | | Case 2:
% 173.82/27.18  | | | | 
% 173.82/27.18  | | | |   (137)  all_56_8 = e0 | all_56_14 = e0
% 173.82/27.18  | | | | 
% 173.82/27.18  | | | | BETA: splitting (133) gives:
% 173.82/27.18  | | | | 
% 173.82/27.18  | | | | Case 1:
% 173.82/27.18  | | | | | 
% 173.82/27.18  | | | | |   (138)  all_56_7 = e0
% 173.82/27.18  | | | | | 
% 173.82/27.18  | | | | | REF_CLOSE: (111), (124), (138) are inconsistent by sub-proof #518.
% 173.82/27.18  | | | | | 
% 173.82/27.18  | | | | Case 2:
% 173.82/27.18  | | | | | 
% 173.82/27.18  | | | | |   (139)  all_56_8 = e0 | all_56_11 = e0
% 173.82/27.18  | | | | | 
% 173.82/27.18  | | | | | BETA: splitting (139) gives:
% 173.82/27.18  | | | | | 
% 173.82/27.18  | | | | | Case 1:
% 173.82/27.18  | | | | | | 
% 173.82/27.18  | | | | | |   (140)  all_56_8 = e0
% 173.82/27.18  | | | | | | 
% 173.82/27.18  | | | | | | REF_CLOSE: (5), (24), (140) are inconsistent by sub-proof #916.
% 173.82/27.18  | | | | | | 
% 173.82/27.18  | | | | | Case 2:
% 173.82/27.18  | | | | | | 
% 173.82/27.18  | | | | | |   (141)  all_56_11 = e0
% 173.82/27.18  | | | | | | 
% 173.82/27.18  | | | | | | COMBINE_EQS: (36), (141) imply:
% 173.82/27.18  | | | | | |   (142)  all_52_14 = e0
% 173.82/27.18  | | | | | | 
% 173.82/27.18  | | | | | | SIMP: (142) implies:
% 173.82/27.18  | | | | | |   (143)  all_52_14 = e0
% 173.82/27.18  | | | | | | 
% 173.82/27.18  | | | | | | COMBINE_EQS: (39), (143) imply:
% 173.82/27.18  | | | | | |   (144)  all_58_30 = e0
% 173.82/27.18  | | | | | | 
% 173.82/27.18  | | | | | | REDUCE: (96), (143) imply:
% 173.82/27.18  | | | | | |   (145)   ~ (all_52_12 = e0)
% 173.82/27.18  | | | | | | 
% 173.82/27.18  | | | | | | REDUCE: (63), (143) imply:
% 173.82/27.18  | | | | | |   (146)   ~ (all_52_13 = e0)
% 173.82/27.18  | | | | | | 
% 173.82/27.18  | | | | | | REDUCE: (103), (143) imply:
% 173.82/27.18  | | | | | |   (147)   ~ (all_10_2 = e0)
% 173.82/27.18  | | | | | | 
% 173.82/27.18  | | | | | | BETA: splitting (137) gives:
% 173.82/27.18  | | | | | | 
% 173.82/27.18  | | | | | | Case 1:
% 173.82/27.18  | | | | | | | 
% 173.82/27.18  | | | | | | |   (148)  all_56_8 = e0
% 173.82/27.18  | | | | | | | 
% 173.82/27.18  | | | | | | | REF_CLOSE: (5), (24), (148) are inconsistent by sub-proof #916.
% 173.82/27.18  | | | | | | | 
% 173.82/27.18  | | | | | | Case 2:
% 173.82/27.18  | | | | | | | 
% 173.82/27.18  | | | | | | |   (149)  all_56_14 = e0
% 173.82/27.18  | | | | | | | 
% 173.82/27.18  | | | | | | | COMBINE_EQS: (22), (149) imply:
% 173.82/27.18  | | | | | | |   (150)  all_52_11 = e0
% 173.82/27.18  | | | | | | | 
% 173.82/27.18  | | | | | | | SIMP: (150) implies:
% 173.82/27.18  | | | | | | |   (151)  all_52_11 = e0
% 173.82/27.18  | | | | | | | 
% 173.82/27.18  | | | | | | | REDUCE: (13), (151) imply:
% 173.82/27.18  | | | | | | |   (152)   ~ (all_52_3 = e0)
% 173.82/27.18  | | | | | | | 
% 173.82/27.18  | | | | | | | REDUCE: (17), (151) imply:
% 173.82/27.18  | | | | | | |   (153)   ~ (all_14_2 = e0)
% 173.82/27.18  | | | | | | | 
% 173.82/27.18  | | | | | | | SIMP: (153) implies:
% 173.82/27.18  | | | | | | |   (154)   ~ (all_14_2 = e0)
% 173.82/27.18  | | | | | | | 
% 173.82/27.18  | | | | | | | REDUCE: (54), (151) imply:
% 173.82/27.18  | | | | | | |   (155)   ~ (all_4_1 = e0)
% 173.82/27.18  | | | | | | | 
% 173.82/27.18  | | | | | | | SIMP: (155) implies:
% 173.82/27.18  | | | | | | |   (156)   ~ (all_4_1 = e0)
% 173.82/27.18  | | | | | | | 
% 173.82/27.18  | | | | | | | GROUND_INST: instantiating (110) with all_52_3, all_6_1, e3, e0,
% 173.82/27.18  | | | | | | |              simplifying with (68), (72) gives:
% 173.82/27.18  | | | | | | |   (157)  all_52_3 = all_6_1
% 173.82/27.18  | | | | | | | 
% 173.82/27.18  | | | | | | | GROUND_INST: instantiating (110) with all_52_12, all_58_0, e0, e3,
% 173.82/27.18  | | | | | | |              simplifying with (52), (74) gives:
% 173.82/27.18  | | | | | | |   (158)  all_58_0 = all_52_12
% 173.82/27.18  | | | | | | | 
% 173.82/27.18  | | | | | | | COMBINE_EQS: (112), (157) imply:
% 173.82/27.18  | | | | | | |   (159)  all_54_12 = all_6_1
% 173.82/27.18  | | | | | | | 
% 173.82/27.18  | | | | | | | COMBINE_EQS: (4), (157) imply:
% 173.82/27.18  | | | | | | |   (160)  all_56_12 = all_6_1
% 173.82/27.18  | | | | | | | 
% 173.82/27.18  | | | | | | | COMBINE_EQS: (45), (157) imply:
% 173.82/27.18  | | | | | | |   (161)  all_58_19 = all_6_1
% 173.82/27.18  | | | | | | | 
% 173.82/27.18  | | | | | | | REDUCE: (119), (157) imply:
% 173.82/27.18  | | | | | | |   (162)   ~ (all_52_1 = all_6_1)
% 173.82/27.18  | | | | | | | 
% 173.82/27.18  | | | | | | | REDUCE: (105), (157) imply:
% 173.82/27.18  | | | | | | |   (163)   ~ (all_52_2 = all_6_1)
% 173.82/27.18  | | | | | | | 
% 173.82/27.18  | | | | | | | REDUCE: (8), (157) imply:
% 173.82/27.18  | | | | | | |   (164)   ~ (all_14_2 = all_6_1)
% 173.82/27.18  | | | | | | | 
% 173.82/27.18  | | | | | | | SIMP: (164) implies:
% 173.82/27.18  | | | | | | |   (165)   ~ (all_14_2 = all_6_1)
% 173.82/27.18  | | | | | | | 
% 173.82/27.18  | | | | | | | REDUCE: (41), (157) imply:
% 173.82/27.18  | | | | | | |   (166)   ~ (all_6_1 = all_4_1)
% 173.82/27.18  | | | | | | | 
% 173.82/27.18  | | | | | | | REDUCE: (152), (157) imply:
% 173.82/27.18  | | | | | | |   (167)   ~ (all_6_1 = e0)
% 173.82/27.18  | | | | | | | 
% 173.82/27.18  | | | | | | | BETA: splitting (120) gives:
% 173.82/27.18  | | | | | | | 
% 173.82/27.18  | | | | | | | Case 1:
% 173.82/27.18  | | | | | | | | 
% 173.82/27.18  | | | | | | | |   (168)  all_54_13 = e0
% 173.82/27.18  | | | | | | | | 
% 173.82/27.18  | | | | | | | | COMBINE_EQS: (90), (168) imply:
% 173.82/27.18  | | | | | | | |   (169)  all_4_1 = e0
% 173.82/27.18  | | | | | | | | 
% 173.82/27.18  | | | | | | | | REDUCE: (156), (169) imply:
% 173.82/27.18  | | | | | | | |   (170)  $false
% 173.82/27.18  | | | | | | | | 
% 173.82/27.18  | | | | | | | | CLOSE: (170) is inconsistent.
% 173.82/27.18  | | | | | | | | 
% 173.82/27.18  | | | | | | | Case 2:
% 173.82/27.18  | | | | | | | | 
% 173.82/27.18  | | | | | | | |   (171)   ~ (all_54_13 = e0)
% 173.82/27.18  | | | | | | | |   (172)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 173.82/27.18  | | | | | | | | 
% 173.82/27.18  | | | | | | | | BETA: splitting (57) gives:
% 173.82/27.18  | | | | | | | | 
% 173.82/27.18  | | | | | | | | Case 1:
% 173.82/27.18  | | | | | | | | | 
% 173.82/27.18  | | | | | | | | |   (173)  all_54_7 = e0
% 173.82/27.18  | | | | | | | | | 
% 173.82/27.18  | | | | | | | | | REF_CLOSE: (129), (146), (173) are inconsistent by sub-proof
% 173.82/27.18  | | | | | | | | |            #714.
% 173.82/27.18  | | | | | | | | | 
% 173.82/27.18  | | | | | | | | Case 2:
% 173.82/27.18  | | | | | | | | | 
% 173.82/27.18  | | | | | | | | |   (174)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 173.82/27.18  | | | | | | | | | 
% 173.82/27.18  | | | | | | | | | BETA: splitting (109) gives:
% 173.82/27.18  | | | | | | | | | 
% 173.82/27.18  | | | | | | | | | Case 1:
% 173.82/27.18  | | | | | | | | | | 
% 173.82/27.18  | | | | | | | | | |   (175)  all_54_9 = e0
% 173.82/27.18  | | | | | | | | | | 
% 173.82/27.18  | | | | | | | | | | REF_CLOSE: (61), (111), (175) are inconsistent by sub-proof
% 173.82/27.18  | | | | | | | | | |            #903.
% 173.82/27.18  | | | | | | | | | | 
% 173.82/27.18  | | | | | | | | | Case 2:
% 173.82/27.18  | | | | | | | | | | 
% 173.82/27.18  | | | | | | | | | |   (176)   ~ (all_54_9 = e0)
% 173.82/27.18  | | | | | | | | | |   (177)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 173.82/27.18  | | | | | | | | | | 
% 173.82/27.18  | | | | | | | | | | BETA: splitting (23) gives:
% 173.82/27.18  | | | | | | | | | | 
% 173.82/27.18  | | | | | | | | | | Case 1:
% 173.82/27.18  | | | | | | | | | | | 
% 173.82/27.18  | | | | | | | | | | |   (178)  all_54_6 = e0
% 173.82/27.18  | | | | | | | | | | | 
% 173.82/27.18  | | | | | | | | | | | REF_CLOSE: (21), (26), (178) are inconsistent by sub-proof
% 173.82/27.18  | | | | | | | | | | |            #901.
% 173.82/27.18  | | | | | | | | | | | 
% 173.82/27.18  | | | | | | | | | | Case 2:
% 173.82/27.18  | | | | | | | | | | | 
% 173.82/27.18  | | | | | | | | | | |   (179)   ~ (all_54_6 = e0)
% 173.82/27.18  | | | | | | | | | | |   (180)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 173.82/27.18  | | | | | | | | | | | 
% 173.82/27.18  | | | | | | | | | | | BETA: splitting (60) gives:
% 173.82/27.18  | | | | | | | | | | | 
% 173.82/27.18  | | | | | | | | | | | Case 1:
% 173.82/27.18  | | | | | | | | | | | | 
% 173.82/27.18  | | | | | | | | | | | |   (181)  all_54_1 = e0
% 173.82/27.18  | | | | | | | | | | | | 
% 173.82/27.18  | | | | | | | | | | | | REF_CLOSE: (18), (33), (181) are inconsistent by sub-proof
% 173.82/27.18  | | | | | | | | | | | |            #866.
% 173.82/27.18  | | | | | | | | | | | | 
% 173.82/27.18  | | | | | | | | | | | Case 2:
% 173.82/27.18  | | | | | | | | | | | | 
% 173.82/27.18  | | | | | | | | | | | |   (182)   ~ (all_54_1 = e0)
% 173.82/27.19  | | | | | | | | | | | |   (183)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 173.82/27.19  | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | BETA: splitting (86) gives:
% 173.82/27.19  | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | |   (184)  all_54_12 = e0
% 173.82/27.19  | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | REF_CLOSE: (159), (167), (184) are inconsistent by sub-proof
% 173.82/27.19  | | | | | | | | | | | | |            #644.
% 173.82/27.19  | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | Case 2:
% 173.82/27.19  | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | |   (185)   ~ (all_54_12 = e0)
% 173.82/27.19  | | | | | | | | | | | | |   (186)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 173.82/27.19  | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | BETA: splitting (79) gives:
% 173.82/27.19  | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | |   (187)  all_54_8 = e0
% 173.82/27.19  | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | REF_CLOSE: (2), (53), (187) are inconsistent by sub-proof
% 173.82/27.19  | | | | | | | | | | | | | |            #839.
% 173.82/27.19  | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | Case 2:
% 173.82/27.19  | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | |   (188)   ~ (all_54_8 = e0)
% 173.82/27.19  | | | | | | | | | | | | | |   (189)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 173.82/27.19  | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | BETA: splitting (19) gives:
% 173.82/27.19  | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | |   (190)  all_54_3 = e0
% 173.82/27.19  | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | REF_CLOSE: (11), (145), (190) are inconsistent by sub-proof
% 173.82/27.19  | | | | | | | | | | | | | | |            #898.
% 173.82/27.19  | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | Case 2:
% 173.82/27.19  | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | |   (191)   ~ (all_54_3 = e0)
% 173.82/27.19  | | | | | | | | | | | | | | |   (192)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | |   (193)  all_54_2 = e0
% 173.82/27.19  | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | REF_CLOSE: (35), (126), (193) are inconsistent by sub-proof
% 173.82/27.19  | | | | | | | | | | | | | | | |            #763.
% 173.82/27.19  | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | Case 2:
% 173.82/27.19  | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | |   (194)   ~ (all_54_2 = e0)
% 173.82/27.19  | | | | | | | | | | | | | | | |   (195)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | BETA: splitting (25) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | |   (196)  all_58_31 = e0
% 173.82/27.19  | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | COMBINE_EQS: (29), (196) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | |   (197)  all_14_2 = e0
% 173.82/27.19  | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | REDUCE: (154), (197) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | |   (198)  $false
% 173.82/27.19  | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | CLOSE: (198) is inconsistent.
% 173.82/27.19  | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.19  | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | |   (199)   ~ (all_58_31 = e0)
% 173.82/27.19  | | | | | | | | | | | | | | | | |   (200)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | BETA: splitting (10) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | |   (201)  all_58_19 = e0
% 173.82/27.19  | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (161), (201) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | |   (202)  all_6_1 = e0
% 173.82/27.19  | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | REDUCE: (167), (202) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | |   (203)  $false
% 173.82/27.19  | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | CLOSE: (203) is inconsistent.
% 173.82/27.19  | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | |   (204)   ~ (all_58_19 = e0)
% 173.82/27.19  | | | | | | | | | | | | | | | | | |   (205)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | |   (206)  all_58_23 = e0
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14), (206) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | |   (207)  all_4_1 = e0
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | REDUCE: (156), (207) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | |   (208)  $false
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | CLOSE: (208) is inconsistent.
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | |   (209)   ~ (all_58_23 = e0)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | |   (210)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | BETA: splitting (37) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | |   (211)  all_56_2 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (71), (211) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | |   (212)  all_52_1 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (43), (212) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | |   (213)  all_58_17 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | REDUCE: (77), (212) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | |   (214)   ~ (all_52_2 = e2)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | SIMP: (214) implies:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | |   (215)   ~ (all_52_2 = e2)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (212) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | |   (216)   ~ (all_52_13 = e2)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | SIMP: (216) implies:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | |   (217)   ~ (all_52_13 = e2)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | |   (218)  all_58_30 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (123), (144), (218) are inconsistent by sub-proof
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | |            #838.
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | |   (219)  all_58_28 = e3 | all_58_29 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | |   (220)  all_58_29 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (75), (220) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | |   (221)  all_52_13 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (217), (221) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | |   (222)  $false
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (222) is inconsistent.
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | |   (223)  all_58_28 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | |   (224)   ~ (all_58_29 = e2)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (121), (223) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | |   (225)  all_52_12 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (46), (225) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | |   (226)  all_56_9 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (225) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | |   (227)   ~ (all_52_4 = e3)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (225) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | |   (228)   ~ (all_52_8 = e3)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (225) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | |   (229)   ~ (all_52_13 = e3)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | SIMP: (229) implies:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | |   (230)   ~ (all_52_13 = e3)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (42) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | |   (231)  all_56_9 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (226), (231) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | |   (232)  e3 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (223), (232) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | |   (233)  all_58_28 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (75), (217), (219), (233) are inconsistent
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #757.
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | |   (234)  all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | |   (235)  all_56_10 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (116), (217), (235) are inconsistent by sub-proof
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | |            #517.
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | |   (236)  all_56_11 = e2 | all_56_15 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | |   (237)  all_56_11 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (141), (237) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | |   (238)  e2 = e0
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (238) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | |   (239)  $false
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (239) is inconsistent.
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  all_56_15 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16), (240) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | |   (241)  all_14_2 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (241) implies:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | |   (242)  all_14_2 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (29), (242) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | |   (243)  all_58_31 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (242) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | |   (244)   ~ (all_6_1 = e2)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (244) implies:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | |   (245)   ~ (all_6_1 = e2)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (62) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | |   (246)  all_56_9 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (226), (246) are inconsistent by sub-proof
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | |            #516.
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | |   (247)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  all_56_10 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (116), (248) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  all_52_13 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (249) implies:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  all_52_13 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (75), (250) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (251)  all_58_29 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (250) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)   ~ (e3 = e1)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  all_58_22 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (99), (253) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  all_52_6 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (254) implies:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  all_52_6 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (124), (255) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  all_56_7 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (255) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (257)   ~ (all_52_2 = e1)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (28), (255) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)   ~ (all_52_4 = e1)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (78) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  all_56_6 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (215), (259) are inconsistent by sub-proof
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #734.
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (59) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  all_56_0 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (117), (261) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  e1 = e0
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (253), (262) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  all_58_22 = e0
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18), (87), (114), (123), (183), (210),
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (227), (258), (263) are inconsistent by sub-proof
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #606.
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (128) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  all_58_31 = e0
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (243), (265) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  e2 = e0
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (266) implies:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  e2 = e0
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (267) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  $false
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (268) is inconsistent.
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (125) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  all_56_1 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3), (270) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  all_52_4 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (271) implies:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)  all_52_4 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (87), (272) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  all_58_20 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (272) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)   ~ (all_52_8 = e2)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (274) implies:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)   ~ (all_52_8 = e2)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (272) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)   ~ (all_4_1 = e2)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (276) implies:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)   ~ (all_4_1 = e2)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (227), (272) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)   ~ (e3 = e2)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (127) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  all_56_12 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (160), (279) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  all_6_1 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (280) implies:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  all_6_1 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (161), (281) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  all_58_19 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (166), (281) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)   ~ (all_4_1 = e1)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (283) implies:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)   ~ (all_4_1 = e1)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (245), (281) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)   ~ (e2 = e1)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (83) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  all_56_12 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (279), (286) are inconsistent by sub-proof
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #582.
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)   ~ (all_56_12 = e3)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  all_56_4 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (82), (289) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  all_52_8 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (290) implies:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  all_52_8 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (95), (291) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  all_58_24 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (291) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)   ~ (all_52_9 = e1)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (293) implies:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)   ~ (all_52_9 = e1)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (291) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)   ~ (all_10_2 = e1)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (295) implies:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)   ~ (all_10_2 = e1)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  all_54_6 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (294), (297) are inconsistent by sub-proof
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #886.
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)   ~ (all_54_6 = e1)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  all_54_6 = e3 | all_54_6 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (288) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  all_56_13 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20), (300) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  all_4_1 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (301) implies:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  all_4_1 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14), (302) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  all_58_23 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  all_56_7 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (304) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  e2 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (213), (305) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)  all_58_17 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (65), (67), (73), (205), (257), (306) are
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #630.
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  all_56_8 = e2 | all_56_11 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  all_56_8 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (24), (308) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  all_10_2 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (309) implies:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  all_10_2 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (27), (310) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  all_58_26 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (310) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)   ~ (all_52_9 = e2)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  all_56_6 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (94), (313) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  all_52_2 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (314) implies:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  all_52_2 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (65), (315) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  all_58_18 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (93) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  all_56_4 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (7), (40), (46), (56), (62), (64), (74),
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (101), (106), (110), (117), (123), (172),
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (258), (277), (284), (317) are inconsistent by
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #510.
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (318) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  all_56_5 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (319) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  all_52_9 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (320) implies:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  all_52_9 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (108), (321) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  all_58_25 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  all_58_26 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (311), (323) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  e2 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (65), (67), (73), (205), (213), (257), (324)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #599.
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)   ~ (all_58_26 = e1)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_18 = e1 & all_58_20 = e3 & all_58_24 =
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_20 = e3 & all_58_28 = e0) | (all_58_17 =
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_17 = e3 & all_58_20 = e3 &
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_23 = e2 & all_58_29 = e2) | (all_58_17 =
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3) | (all_58_17 = e2 & all_58_19 = e3 &
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_20 = e2 & all_58_28 = e3) | (all_58_17 =
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_23 = e0 & all_58_29 = e0) | (all_58_17 =
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_19 = e0 & all_58_24 = e3 & all_58_28 =
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_24 = e3 & all_58_25 = e1) | (all_58_18 =
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_24 = e1 & all_58_28 = e3) | (all_58_18 =
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_18 =
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_28 = e3 & all_58_29 =
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 =
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 =
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_25 = e2 & all_58_29 =
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_22 = e2 & all_58_25 = e2 &
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e1 & all_58_30 = e1) | (all_58_22 =
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_22 = e1 & all_58_25 = e1 &
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_22 =
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_27 = e0 & all_58_29 = e2 & all_58_30 =
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_23 = e0 & all_58_27 = e1 &
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_29 = e0 & all_58_30 = e1) | (all_58_23 =
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0 & e1 = e0)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (326) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  all_58_21 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (44), (327) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  e2 = e0
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (328) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  $false
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (329) is inconsistent.
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)   ~ (all_58_21 = e2)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  all_58_16 = e3 | (all_58_17 = e3 & all_58_18 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_20 = e3 & all_58_24 = e1) | (all_58_17
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0) | (all_58_17 = e3 & all_58_20 =
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_22 = e2 & all_58_25 = e2) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_18 = e1 & all_58_24
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 =
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e3 & all_58_29 = e0) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_19 = e0 & all_58_23
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_19 = e0 & all_58_28
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e3 = e0) | (all_58_22 = e2 & all_58_23 =
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_25 = e2 & all_58_29 = e0) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (330) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)   ~ (e2 = e0)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  all_58_16 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (67), (333) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  e3 = e0
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (223), (334) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  all_58_28 = e0
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (73), (219), (251), (335) are inconsistent
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #509.
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)   ~ (all_58_16 = e3)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (67), (336) imply:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)   ~ (e3 = e0)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (337) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (339) gives:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (340) gives:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (341) gives:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (342) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  all_58_20 = e3
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  all_58_18 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  all_58_17 = e3
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (344) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (346)  e3 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (346) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  e3 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (343) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  e3 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (348) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  e3 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (349) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  e2 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (65), (67), (73), (205), (257), (345),
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (349), (350) are inconsistent by sub-proof #598.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_17 = e3 & all_58_20
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_22 = e2 & all_58_25 = e2)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (351) gives:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (352)  all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (352) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (353)  all_58_28 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (73), (219), (251), (353) are inconsistent
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #509.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (354)  all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 &
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (354) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (355)  all_58_25 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (356)  all_58_22 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (357)  all_58_17 = e3
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (253), (356) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (358)  e2 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (355) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (359)  e3 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (359) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  e3 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (65), (67), (73), (205), (257), (357),
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (358), (360) are inconsistent by sub-proof #598.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (361)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (362)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (362) gives:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (363) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  all_58_29 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (365)  all_58_23 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (366)  all_58_17 = e3
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (303), (365) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (367)  e3 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (367) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (368)  e3 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (364) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (369)  e2 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (369) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (370)  e2 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (65), (67), (73), (205), (257), (366),
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (368), (370) are inconsistent by sub-proof #598.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (371)  all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e3
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (371) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (372)  all_58_24 = e3
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (372) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (373)  e3 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (373) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (374)  $false
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (374) is inconsistent.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (375)  (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (375) gives:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (376)  all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 &
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (376) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (377)  all_58_19 = e3
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (282), (377) are inconsistent by sub-proof
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #508.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (378)  all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (378) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (379)  all_58_25 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (322), (379) are inconsistent by sub-proof
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #507.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (380)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (381)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (381) gives:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (382)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (382) gives:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (383)  all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (383) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (384)  all_58_29 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (384) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (385)  e1 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (18), (35), (87), (100), (107), (114),
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (118), (121), (126), (183), (195), (210), (219),
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (251), (253), (275), (385) are inconsistent by
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #506.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (386)  all_58_17 = e2 & all_58_20 = e2 & e3 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (386) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (387)  e3 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (223), (387) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (388)  all_58_28 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (75), (217), (219), (388) are inconsistent
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #757.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (389)  (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (389) gives:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (390)  all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (390) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (391)  all_58_28 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (73), (219), (251), (391) are inconsistent
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #509.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (392)  all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 &
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (392) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (393)  all_58_25 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (322), (393) are inconsistent by sub-proof
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #507.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (394)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (394) gives:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (395)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (395) gives:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (396)  all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (396) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (397)  all_58_30 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (144), (397) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (398)  e1 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (398) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (399)  e1 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (253), (399) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (400)  all_58_22 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18), (35), (87), (107), (114), (126), (183),
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (195), (210), (227), (228), (275), (400) are
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #605.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (401)  all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (401) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (402)  all_58_19 = e3
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (282), (402) are inconsistent by sub-proof
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #508.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (403)  (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (404)  all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 &
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (404) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (405)  all_58_25 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (406)  all_58_18 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (406) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (407)  e3 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (407) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (408)  e3 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (405) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (409)  e3 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (65), (67), (73), (205), (213), (257),
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (408), (409) are inconsistent by sub-proof #591.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (410)  all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (410) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (411)  all_58_18 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (316), (411) are inconsistent by sub-proof
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #589.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (412)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (412) gives:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (413)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (413) gives:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (414)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (414) gives:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (415)  all_58_18 = e1 & all_58_24 = e1 & e3 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (415) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (416)  all_58_18 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (316), (416) are inconsistent by sub-proof
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #589.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (417)  (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (417) gives:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (418)  all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (418) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (419)  all_58_23 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (420)  all_58_19 = e3
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (420) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (421)  e3 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (421) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (422)  e3 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (303), (419) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (423)  e3 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (423) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (424)  e3 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (424) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (425)  e1 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (425) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (426)  e1 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (18), (35), (87), (100), (107), (114),
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (118), (121), (126), (183), (195), (210), (219),
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (251), (253), (275), (426) are inconsistent by
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #506.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (427)  all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (427) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (428)  all_58_19 = e3
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (282), (428) are inconsistent by sub-proof
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #508.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (429)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (429) gives:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (430)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (430) gives:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (431)  all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (431) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (432)  all_58_28 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (73), (219), (251), (432) are inconsistent
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #509.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (433)  all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (433) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (434)  all_58_28 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (73), (219), (251), (434) are inconsistent
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #509.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (435)  (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (435) gives:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (436)  all_58_19 = e0 & all_58_28 = e0 & e3 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (436) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (437)  all_58_28 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (73), (219), (251), (437) are inconsistent
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #509.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (438)  all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (438) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (439)  all_58_25 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (440)  all_58_23 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (441)  all_58_22 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (253), (441) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (442)  e2 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (303), (440) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (443)  e3 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (443) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (444)  e3 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (439) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (445)  e3 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (445) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (446)  e3 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (446) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (447)  e2 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (447) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (448)  e2 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (442), (448) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (449)  e1 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (449) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (450)  all_58_29 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (448) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (451)  all_58_22 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (18), (35), (87), (100), (107), (114),
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (118), (121), (126), (183), (195), (210), (219),
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (275), (450), (451) are inconsistent by sub-proof
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #604.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (452)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (452) gives:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (453)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (453) gives:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (454)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (454) gives:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (455)  all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (455) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (456)  all_58_30 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (457)  all_58_22 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (253), (457) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (458)  e2 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (144), (456) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (459)  e1 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (459) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (460)  e1 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (460) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (461)  e2 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (457), (461) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (462)  all_58_22 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18), (35), (87), (107), (114), (126), (183),
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (195), (210), (227), (228), (275), (462) are
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #605.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (463)  all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (463) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (464)  all_58_25 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (465)  all_58_23 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (303), (465) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (466)  e3 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (466) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (467)  e3 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (464) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (468)  e3 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (468) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (469)  e3 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (467), (469) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (470)  e2 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (65), (67), (73), (205), (213), (257), (470)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #599.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (471)  (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (471) gives:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (472)  all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (472) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (473)  all_58_25 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (322), (473) are inconsistent by sub-proof
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #507.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (474)  all_58_22 = e1 & all_58_25 = e1 & e2 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (474) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (475)  e2 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (213), (475) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (476)  all_58_17 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (65), (67), (73), (205), (257), (476) are
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #630.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (477)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (477) gives:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (478)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (478) gives:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (479)  all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (479) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (480)  all_58_29 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (480) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (481)  e2 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (65), (67), (73), (205), (213), (257), (481)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #599.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (482)  all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (482) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (483)  all_58_30 = e1
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (144), (483) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (484)  e1 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (484) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (485)  e1 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (18), (35), (87), (100), (107), (114),
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (118), (121), (126), (183), (195), (210), (219),
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (251), (253), (275), (485) are inconsistent by
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #506.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (486)  (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (486) gives:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (487)  all_58_23 = e0 & all_58_29 = e0 & e2 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (487) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (488)  all_58_29 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (488) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (489)  e1 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (18), (35), (87), (100), (107), (114),
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (118), (121), (126), (183), (195), (210), (219),
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (251), (253), (275), (489) are inconsistent by
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #506.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (490)  all_58_27 = e0 & all_58_30 = e0 & e1 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (490) implies:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (491)  e1 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (253), (491) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (492)  all_58_22 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18), (35), (87), (107), (114), (126), (183),
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (195), (210), (227), (228), (275), (492) are
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #605.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (493)   ~ (all_56_5 = e3)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (493) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (494)   ~ (all_52_9 = e3)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (299), (312), (494) are inconsistent by
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #884.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (495)   ~ (all_56_6 = e3)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (495) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (496)   ~ (all_52_2 = e3)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (189), (215), (257), (496) are inconsistent
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #670.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (497)  all_56_11 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (141), (497) are inconsistent by sub-proof
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #505.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (498)  all_56_14 = e3 | all_56_15 = e3
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (498) gives:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (499)  all_56_14 = e3
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (149), (499) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (500)  e3 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (223), (500) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (501)  all_58_28 = e0
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (73), (219), (251), (501) are inconsistent
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #509.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (502)  all_56_15 = e3
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (240), (502) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (503)  e3 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (223), (503) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (504)  all_58_28 = e2
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (75), (217), (219), (504) are inconsistent
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #757.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (505)   ~ (all_56_4 = e1)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (49), (50), (55), (82), (101), (117), (118),
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (123), (226), (275), (505) are inconsistent by
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #501.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (506)   ~ (all_56_12 = e1)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (506) imply:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (507)   ~ (all_6_1 = e1)
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10), (43), (50), (65), (67), (71), (73),
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (94), (159), (160), (161), (162), (167), (186),
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (257), (264), (507) are inconsistent by sub-proof
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #500.
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (508)   ~ (all_56_1 = e2)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (508) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (509)   ~ (all_52_4 = e2)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (183), (227), (258), (509) are inconsistent
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #689.
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (510)  all_58_20 = e3 | all_58_21 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (87), (118), (227), (510) are inconsistent
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #720.
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (511)   ~ (all_56_10 = e1)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (116), (511) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (512)   ~ (all_52_13 = e1)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (129), (174), (217), (230), (512) are inconsistent
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #708.
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | |   (513)   ~ (all_56_2 = e2)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (513) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | |   (514)   ~ (all_52_1 = e2)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | |   (515)  all_58_18 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (65), (515) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | |   (516)  all_52_2 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (94), (516) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | |   (517)  all_56_6 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (516) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | |   (518)   ~ (all_52_6 = e1)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | SIMP: (518) implies:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | |   (519)   ~ (all_52_6 = e1)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (516) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | |   (520)   ~ (all_6_1 = e1)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | SIMP: (520) implies:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | |   (521)   ~ (all_6_1 = e1)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (66) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | |   (522)  all_56_0 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (118), (522) are inconsistent by sub-proof
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | |            #627.
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | |   (523)   ~ (all_56_0 = e2)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | |   (524)  all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (523) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | |   (525)   ~ (e2 = e0)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | |   (526)  all_58_22 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (99), (526) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | |   (527)  all_52_6 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (519), (527) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | |   (528)  $false
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (528) is inconsistent.
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | |   (529)   ~ (all_58_22 = e1)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | |   (530)  all_58_20 = e3 | all_58_21 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (530) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | |   (531)  all_58_21 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (118), (531) are inconsistent by sub-proof
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | |            #721.
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | |   (532)  all_58_20 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | |   (533)   ~ (all_58_21 = e2)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (87), (532) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | |   (534)  all_52_4 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3), (534) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | |   (535)  all_56_1 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (28), (534) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | |   (536)   ~ (all_52_6 = e3)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (536) implies:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | |   (537)   ~ (all_52_6 = e3)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (534) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | |   (538)   ~ (all_4_1 = e3)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (538) implies:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | |   (539)   ~ (all_4_1 = e3)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (524) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | |   (540)  all_56_2 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (71), (540) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | |   (541)  all_52_1 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (514), (541) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | |   (542)  $false
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (542) is inconsistent.
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | |   (543)  all_56_6 = e2 | all_56_12 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | |   (544)  all_54_9 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (519), (544) are inconsistent by sub-proof
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | |            #900.
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | |   (545)  all_54_9 = e3 | all_54_9 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (546)  all_56_1 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (535), (546) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (547)  e3 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (547) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (548)  all_58_20 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (44), (118), (530), (548) are inconsistent by
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #676.
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (549)   ~ (all_56_1 = e1)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (550)  all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (551)  all_56_6 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (517), (551) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (552)  e3 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (44), (118), (530), (532), (552) are
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #499.
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (553)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (553) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (554)  all_56_7 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (124), (554) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (555)  all_52_6 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (537), (555) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (556)  $false
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (556) is inconsistent.
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (557)  all_56_8 = e3 | all_56_11 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (557) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (558)  all_56_8 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (24), (558) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (559)  all_10_2 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (27), (559) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (560)  all_58_26 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (559) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (561)   ~ (all_52_8 = e3)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (559) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (562)   ~ (all_52_9 = e3)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (543) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (563)  all_56_6 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (517), (563) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (564)  e2 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (564) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (565)  $false
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (565) is inconsistent.
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (566)  all_56_12 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (160), (566) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (567)  all_6_1 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (567) implies:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (568)  all_6_1 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (161), (568) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (569)  all_58_19 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (83) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (570)  all_56_12 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (570) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (571)  e3 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (571) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (572)  $false
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (572) is inconsistent.
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (573)  all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (573) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (574)  all_56_13 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20), (574) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (575)  all_4_1 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (575) implies:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (576)  all_4_1 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (539), (576) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (577)  $false
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (577) is inconsistent.
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (578)  all_56_14 = e3 | all_56_15 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (172) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (579)  all_54_13 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (90), (579) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (580)  all_4_1 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (580) implies:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (581)  all_4_1 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (115), (581) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (582)  all_40_1 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14), (581) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (583)  all_58_23 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (581) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (584)  op(e1, e0) = all_4_0
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (545) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (585)  all_54_9 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (61), (585) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (586)  all_52_6 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (586) implies:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (587)  all_52_6 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (124), (587) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (588)  all_56_7 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (99), (587) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (589)  all_58_22 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (537), (587) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (590)   ~ (e3 = e2)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (591)  all_58_30 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (144), (591) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (592)  e1 = e0
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (592) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (593)  $false
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (593) is inconsistent.
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (594)  all_58_28 = e3 | all_58_29 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (578) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (595)  all_56_14 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (149), (595) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (596)  e3 = e0
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (558), (596) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (597)  all_56_8 = e0
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (36), (49), (73), (76), (102), (110), (553),
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (582), (584), (588), (597) are inconsistent by
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #498.
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (598)  all_56_15 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16), (598) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (599)  all_14_2 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (599) implies:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (600)  all_14_2 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (29), (600) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (601)  all_58_31 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1), (600) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (602)   ~ (all_52_12 = e3)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (594) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (603)  all_58_29 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (75), (603) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (604)  all_52_13 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (604) implies:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (605)  all_52_13 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (605) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (606)   ~ (all_52_9 = e2)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (607)  all_54_6 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21), (607) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (608)  all_52_9 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (608) implies:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (609)  all_52_9 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (108), (609) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (610)  all_58_25 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (609) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (611)   ~ (all_52_8 = e1)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (612)  all_56_4 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (82), (612) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (613)  all_52_8 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (613) implies:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (614)  all_52_8 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (95), (614) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (615)  all_58_24 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (614) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (616)   ~ (all_52_12 = e2)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (616) implies:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (617)   ~ (all_52_12 = e2)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (62) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (618)  all_56_9 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (46), (618) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (619)  all_52_12 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (619) implies:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (620)  all_52_12 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (121), (620) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (621)  all_58_28 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (602), (620) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (622)   ~ (e3 = e1)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (617), (620) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (623)   ~ (e2 = e1)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (128) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (624)  all_58_31 = e0
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (601), (624) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (625)  e3 = e0
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (625) implies:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (626)  e3 = e0
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (558), (626) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (627)  all_56_8 = e0
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (36), (49), (73), (76), (102), (110), (553),
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (582), (584), (588), (627) are inconsistent by
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #498.
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (628)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (629)   ~ (all_40_1 = e1)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (629) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (630)  $false
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (630) is inconsistent.
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (631)   ~ (all_40_0 = e3)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (631) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (632)   ~ (all_4_0 = e3)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (628) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (633)  all_58_26 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (560), (633) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (634)  e3 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (44), (118), (530), (532), (634) are
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #499.
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (635)   ~ (all_58_26 = e1)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (636)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_18 = e1 & all_58_20 = e3 & all_58_24 =
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_20 = e3 & all_58_28 = e0) | (all_58_17 =
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_17 = e3 & all_58_20 = e3 &
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_23 = e2 & all_58_29 = e2) | (all_58_17 =
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3) | (all_58_17 = e2 & all_58_19 = e3 &
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_20 = e2 & all_58_28 = e3) | (all_58_17 =
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_23 = e0 & all_58_29 = e0) | (all_58_17 =
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_19 = e0 & all_58_24 = e3 & all_58_28 =
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_24 = e3 & all_58_25 = e1) | (all_58_18 =
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_24 = e1 & all_58_28 = e3) | (all_58_18 =
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_18 =
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_28 = e3 & all_58_29 =
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 =
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 =
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_25 = e2 & all_58_29 =
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_22 = e2 & all_58_25 = e2 &
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e1 & all_58_30 = e1) | (all_58_22 =
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_22 = e1 & all_58_25 = e1 &
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_22 =
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_27 = e0 & all_58_29 = e2 & all_58_30 =
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_23 = e0 & all_58_27 = e1 &
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_29 = e0 & all_58_30 = e1) | (all_58_23 =
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0 & e1 = e0)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (636) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (637)  all_58_21 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (44), (637) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (638)  e2 = e0
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (638) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (639)  all_58_29 = e0
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (118), (594), (621), (639) are inconsistent
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (640)  all_58_16 = e3 | (all_58_17 = e3 & all_58_18 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_20 = e3 & all_58_24 = e1) | (all_58_17
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0) | (all_58_17 = e3 & all_58_20 =
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_22 = e2 & all_58_25 = e2) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_18 = e1 & all_58_24
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 =
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e3 & all_58_29 = e0) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_19 = e0 & all_58_23
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_19 = e0 & all_58_28
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e3 = e0) | (all_58_22 = e2 & all_58_23 =
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_25 = e2 & all_58_29 = e0) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (640) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (641)  all_58_16 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (67), (641) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (642)  e3 = e0
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (558), (642) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (643)  all_56_8 = e0
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (36), (73), (110), (557), (584), (632),
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (643) are inconsistent by sub-proof #542.
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (644)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (644) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (645)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (645) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (646)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (646) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (647)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (647) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (648)  all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (648) implies:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (649)  all_58_24 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (615), (649) are inconsistent by sub-proof
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #497.
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (650)  (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_17 = e3 & all_58_20
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_22 = e2 & all_58_25 = e2)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (650) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (651)  all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (651) implies:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (652)  all_58_19 = e0
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (569), (652) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (653)  e2 = e0
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (653) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (654)  all_58_29 = e0
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (118), (594), (621), (654) are inconsistent
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (655)  all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 &
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (655) implies:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (656)  all_58_25 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (610), (656) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (657)  e2 = e1
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (657) imply:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (658)  $false
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (658) is inconsistent.
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (659)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (659) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (660)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (660) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (661)  all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (583), (661) are inconsistent by sub-proof
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #496.
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (662)  all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (662) implies:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (663)  all_58_24 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (664)  all_58_18 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (44), (118), (515), (530), (532), (615),
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (663), (664) are inconsistent by sub-proof #494.
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (665)  (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (665) gives:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (666)  all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 &
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (666) implies:
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (667)  all_58_28 = e3
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (668)  all_58_20 = e2
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (668) imply:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (669)  e3 = e2
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (44), (118), (530), (532), (621), (667),
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (669) are inconsistent by sub-proof #493.
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (670)  all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (670) implies:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (671)  all_58_22 = e1
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (672)  all_58_20 = e2
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (672) imply:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (673)  e3 = e2
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (671) imply:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (674)  e2 = e1
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (674) implies:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (675)  e2 = e1
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (44), (118), (530), (532), (673), (675) are
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #495.
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (676)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0)
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (676) gives:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (677)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (677) gives:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (678)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2)
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (678) gives:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (679)  all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (679) implies:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (680)  all_58_29 = e0
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (118), (594), (621), (680) are inconsistent
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (681)  all_58_17 = e2 & all_58_20 = e2 & e3 = e2
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (532), (681) are inconsistent by sub-proof
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #777.
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (682)  (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1)
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (682) gives:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (683)  all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (683) implies:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (684)  all_58_19 = e0
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (569), (684) imply:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (685)  e2 = e0
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (685) imply:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (686)  all_58_29 = e0
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (118), (594), (621), (686) are inconsistent
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (687)  all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 &
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (687) implies:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (688)  all_58_24 = e3
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (689)  all_58_18 = e3
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (44), (118), (515), (530), (532), (615),
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (688), (689) are inconsistent by sub-proof #494.
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (690)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (690) gives:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (691)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3)
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (691) gives:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (692)  all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (692) implies:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (693)  all_58_30 = e1
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (694)  all_58_24 = e3
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (695)  all_58_18 = e3
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (695) imply:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (696)  e3 = e1
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (615), (694) imply:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (697)  e3 = e2
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (144), (693) imply:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (698)  e1 = e0
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (698) implies:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (699)  e1 = e0
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (696), (697) imply:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (700)  e2 = e1
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (700) implies:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (701)  e2 = e1
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (699), (701) imply:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (702)  e2 = e0
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (702) imply:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (703)  all_58_29 = e0
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (118), (594), (621), (703) are inconsistent
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (704)  all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (704) implies:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (705)  all_58_28 = e3
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (706)  all_58_19 = e3
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (569), (706) imply:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (707)  e3 = e2
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (707) implies:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (708)  e3 = e2
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (44), (118), (530), (532), (621), (705),
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (708) are inconsistent by sub-proof #493.
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (709)  (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (709) gives:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (710)  all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 &
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (610), (710) are inconsistent by sub-proof
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #492.
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (711)  all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (711) implies:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (712)  all_58_24 = e1
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (615), (712) are inconsistent by sub-proof
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #497.
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (713)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (713) gives:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (714)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (714) gives:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (715)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (715) gives:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (716)  all_58_18 = e1 & all_58_24 = e1 & e3 = e1
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (716) implies:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (717)  e3 = e1
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (532), (717) imply:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (718)  all_58_20 = e1
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (44), (118), (530), (718) are inconsistent by
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #676.
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (719)  (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (719) gives:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (720)  all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (720) implies:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (721)  all_58_29 = e0
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (118), (594), (621), (721) are inconsistent
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (722)  all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (722) implies:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (723)  all_58_28 = e3
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (724)  all_58_19 = e3
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (569), (724) imply:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (725)  e3 = e2
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (725) implies:
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (726)  e3 = e2
% 173.82/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (44), (118), (530), (532), (621), (723),
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (726) are inconsistent by sub-proof #493.
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (727)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (727) gives:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (728)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1)
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (728) gives:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (729)  all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (729) implies:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (730)  all_58_19 = e0
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (569), (730) imply:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (731)  e2 = e0
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (731) imply:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (732)  all_58_29 = e0
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (118), (594), (621), (732) are inconsistent
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (733)  all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (118), (569), (594), (603), (621), (733) are
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #616.
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (734)  (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (734) gives:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (735)  all_58_19 = e0 & all_58_28 = e0 & e3 = e0
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (735) implies:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (736)  all_58_19 = e0
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (569), (736) imply:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (737)  e2 = e0
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (737) imply:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (738)  all_58_29 = e0
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (118), (594), (621), (738) are inconsistent
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (739)  all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (739) implies:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (740)  all_58_29 = e0
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (118), (594), (621), (740) are inconsistent
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (741)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (741) gives:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (742)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (742) gives:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (743)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2)
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (743) gives:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (744)  all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (744) implies:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (745)  all_58_30 = e1
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (746)  all_58_25 = e2
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (610), (746) imply:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (747)  e2 = e1
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (144), (745) imply:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (748)  e1 = e0
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (748) implies:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (749)  e1 = e0
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (747), (749) imply:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (750)  e2 = e0
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (603), (750) imply:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (751)  all_58_29 = e0
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (118), (594), (621), (751) are inconsistent
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (752)  all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (583), (752) are inconsistent by sub-proof
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #491.
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (753)  (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (753) gives:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (754)  all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (754) implies:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (755)  all_58_22 = e1
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (589), (755) are inconsistent by sub-proof
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #490.
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (756)  all_58_22 = e1 & all_58_25 = e1 & e2 = e1
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (756) implies:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (757)  all_58_22 = e1
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (589), (757) are inconsistent by sub-proof
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #490.
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (758)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (758) gives:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (759)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1)
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (759) gives:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (760)  all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (760) implies:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (761)  all_58_23 = e2
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (761) imply:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (762)  e2 = e1
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (762) imply:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (763)  $false
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (763) is inconsistent.
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (764)  all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (764) implies:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (765)  all_58_29 = e0
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (118), (594), (621), (765) are inconsistent
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (766)  (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (766) gives:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (767)  all_58_23 = e0 & all_58_29 = e0 & e2 = e0
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (767) implies:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (768)  all_58_29 = e0
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (118), (594), (621), (768) are inconsistent
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (769)  all_58_27 = e0 & all_58_30 = e0 & e1 = e0
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (769) implies:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (770)  e1 = e0
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (770) imply:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (771)  $false
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (771) is inconsistent.
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (772)   ~ (all_56_9 = e1)
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (772) imply:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (773)   ~ (all_52_12 = e1)
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (192), (602), (617), (773) are inconsistent
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #890.
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (774)   ~ (all_56_4 = e2)
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (82), (774) imply:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (775)   ~ (all_52_8 = e2)
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (195), (561), (611), (775) are inconsistent
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #690.
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (776)  all_54_6 = e3 | all_54_6 = e2
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (562), (606), (776) are inconsistent by
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #884.
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (777)  all_58_28 = e3
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (121), (777) imply:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (778)  all_52_12 = e3
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (602), (778) imply:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (779)  $false
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (779) is inconsistent.
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (780)  all_54_9 = e3
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (537), (780) are inconsistent by sub-proof
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #862.
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (781)   ~ (all_54_13 = e1)
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (781) imply:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (782)   ~ (all_4_1 = e1)
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (545) gives:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (783)  all_54_9 = e2
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (61), (783) imply:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (784)  all_52_6 = e2
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (784) implies:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (785)  all_52_6 = e2
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (124), (785) imply:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (786)  all_56_7 = e2
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (50), (97), (123), (550), (782), (786) are
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #570.
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (787)  all_54_9 = e3
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (537), (787) are inconsistent by sub-proof
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #862.
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (788)  all_56_11 = e3
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (141), (788) imply:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (789)  e3 = e0
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (73), (789) imply:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (790)  $false
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (790) is inconsistent.
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | |   (791)  all_58_16 = e3 | all_58_17 = e2
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (67), (73), (514), (791) are inconsistent by
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | |            sub-proof #608.
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | | 
% 173.97/27.22  | | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | | 
% 173.97/27.22  | | | | | | | | End of split
% 173.97/27.22  | | | | | | | | 
% 173.97/27.22  | | | | | | | End of split
% 173.97/27.22  | | | | | | | 
% 173.97/27.22  | | | | | | End of split
% 173.97/27.22  | | | | | | 
% 173.97/27.22  | | | | | End of split
% 173.97/27.22  | | | | | 
% 173.97/27.22  | | | | End of split
% 173.97/27.22  | | | | 
% 173.97/27.22  | | | End of split
% 173.97/27.22  | | | 
% 173.97/27.22  | | End of split
% 173.97/27.22  | | 
% 173.97/27.22  | End of split
% 173.97/27.22  | 
% 173.97/27.22  End of proof
% 173.97/27.22  
% 173.97/27.22  Sub-proof #490 shows that the following formulas are inconsistent:
% 173.97/27.22  ----------------------------------------------------------------
% 173.97/27.22    (1)  all_58_22 = e2
% 173.97/27.22    (2)  all_58_22 = e1
% 173.97/27.22    (3)   ~ (e2 = e1)
% 173.97/27.22  
% 173.97/27.22  Begin of proof
% 173.97/27.22  | 
% 173.97/27.22  | COMBINE_EQS: (1), (2) imply:
% 173.97/27.22  |   (4)  e2 = e1
% 173.97/27.22  | 
% 173.97/27.22  | SIMP: (4) implies:
% 173.97/27.22  |   (5)  e2 = e1
% 173.97/27.22  | 
% 173.97/27.22  | REDUCE: (3), (5) imply:
% 173.97/27.22  |   (6)  $false
% 173.97/27.22  | 
% 173.97/27.22  | CLOSE: (6) is inconsistent.
% 173.97/27.22  | 
% 173.97/27.22  End of proof
% 173.97/27.22  
% 173.97/27.22  Sub-proof #491 shows that the following formulas are inconsistent:
% 173.97/27.22  ----------------------------------------------------------------
% 173.97/27.22    (1)  all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29 = e2
% 173.97/27.22    (2)  all_58_23 = e1
% 173.97/27.22    (3)   ~ (e2 = e1)
% 173.97/27.22  
% 173.97/27.22  Begin of proof
% 173.97/27.22  | 
% 173.97/27.22  | ALPHA: (1) implies:
% 173.97/27.22  |   (4)  all_58_23 = e2
% 173.97/27.22  | 
% 173.97/27.22  | COMBINE_EQS: (2), (4) imply:
% 173.97/27.22  |   (5)  e2 = e1
% 173.97/27.22  | 
% 173.97/27.22  | REDUCE: (3), (5) imply:
% 173.97/27.22  |   (6)  $false
% 173.97/27.22  | 
% 173.97/27.22  | CLOSE: (6) is inconsistent.
% 173.97/27.22  | 
% 173.97/27.22  End of proof
% 173.97/27.22  
% 173.97/27.22  Sub-proof #492 shows that the following formulas are inconsistent:
% 173.97/27.22  ----------------------------------------------------------------
% 173.97/27.22    (1)  all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2
% 173.97/27.22    (2)  all_58_25 = e1
% 173.97/27.22    (3)   ~ (e2 = e1)
% 173.97/27.22  
% 173.97/27.22  Begin of proof
% 173.97/27.22  | 
% 173.97/27.22  | ALPHA: (1) implies:
% 173.97/27.22  |   (4)  all_58_25 = e2
% 173.97/27.22  | 
% 173.97/27.22  | COMBINE_EQS: (2), (4) imply:
% 173.97/27.22  |   (5)  e2 = e1
% 173.97/27.22  | 
% 173.97/27.22  | REDUCE: (3), (5) imply:
% 173.97/27.22  |   (6)  $false
% 173.97/27.22  | 
% 173.97/27.22  | CLOSE: (6) is inconsistent.
% 173.97/27.22  | 
% 173.97/27.22  End of proof
% 173.97/27.22  
% 173.97/27.22  Sub-proof #493 shows that the following formulas are inconsistent:
% 173.97/27.22  ----------------------------------------------------------------
% 173.97/27.22    (1)   ~ (e3 = e1)
% 173.97/27.22    (2)  all_58_28 = e1
% 173.97/27.22    (3)  all_58_28 = e3
% 173.97/27.22    (4)  all_58_21 = e0
% 173.97/27.22    (5)  e3 = e2
% 173.97/27.22    (6)  all_58_20 = e3
% 173.97/27.22    (7)  all_58_20 = e3 | all_58_21 = e2
% 173.97/27.22    (8)   ~ (e2 = e0)
% 173.97/27.22  
% 173.97/27.22  Begin of proof
% 173.97/27.22  | 
% 173.97/27.22  | COMBINE_EQS: (2), (3) imply:
% 173.97/27.22  |   (9)  e3 = e1
% 173.97/27.22  | 
% 173.97/27.22  | SIMP: (9) implies:
% 173.97/27.22  |   (10)  e3 = e1
% 173.97/27.22  | 
% 173.97/27.22  | COMBINE_EQS: (5), (10) imply:
% 173.97/27.22  |   (11)  e2 = e1
% 173.97/27.22  | 
% 173.97/27.22  | REF_CLOSE: (1), (4), (5), (6), (7), (8), (11) are inconsistent by sub-proof
% 173.97/27.22  |            #495.
% 173.97/27.22  | 
% 173.97/27.22  End of proof
% 173.97/27.22  
% 173.97/27.22  Sub-proof #494 shows that the following formulas are inconsistent:
% 173.97/27.22  ----------------------------------------------------------------
% 173.97/27.22    (1)   ~ (e3 = e1)
% 173.97/27.22    (2)  all_58_24 = e2
% 173.97/27.22    (3)  all_58_24 = e3
% 173.97/27.22    (4)  all_58_18 = e3
% 173.97/27.22    (5)  all_58_21 = e0
% 173.97/27.22    (6)  all_58_18 = e1
% 173.97/27.22    (7)  all_58_20 = e3
% 173.97/27.22    (8)  all_58_20 = e3 | all_58_21 = e2
% 173.97/27.22    (9)   ~ (e2 = e0)
% 173.97/27.22  
% 173.97/27.22  Begin of proof
% 173.97/27.22  | 
% 173.97/27.22  | COMBINE_EQS: (4), (6) imply:
% 173.97/27.22  |   (10)  e3 = e1
% 173.97/27.22  | 
% 173.97/27.22  | COMBINE_EQS: (2), (3) imply:
% 173.97/27.22  |   (11)  e3 = e2
% 173.97/27.22  | 
% 173.97/27.22  | COMBINE_EQS: (10), (11) imply:
% 173.97/27.22  |   (12)  e2 = e1
% 173.97/27.22  | 
% 173.97/27.22  | REF_CLOSE: (1), (5), (7), (8), (9), (11), (12) are inconsistent by sub-proof
% 173.97/27.22  |            #495.
% 173.97/27.22  | 
% 173.97/27.22  End of proof
% 173.97/27.22  
% 173.97/27.22  Sub-proof #495 shows that the following formulas are inconsistent:
% 173.97/27.22  ----------------------------------------------------------------
% 173.97/27.22    (1)   ~ (e3 = e1)
% 173.97/27.22    (2)  all_58_21 = e0
% 173.97/27.22    (3)  e3 = e2
% 173.97/27.22    (4)  e2 = e1
% 173.97/27.22    (5)  all_58_20 = e3
% 173.97/27.22    (6)  all_58_20 = e3 | all_58_21 = e2
% 173.97/27.22    (7)   ~ (e2 = e0)
% 173.97/27.22  
% 173.97/27.22  Begin of proof
% 173.97/27.22  | 
% 173.97/27.22  | COMBINE_EQS: (3), (4) imply:
% 173.97/27.22  |   (8)  e3 = e1
% 173.97/27.22  | 
% 173.97/27.22  | COMBINE_EQS: (5), (8) imply:
% 173.97/27.22  |   (9)  all_58_20 = e1
% 173.97/27.22  | 
% 173.97/27.22  | REF_CLOSE: (1), (2), (6), (7), (9) are inconsistent by sub-proof #676.
% 173.97/27.22  | 
% 173.97/27.22  End of proof
% 173.97/27.22  
% 173.97/27.22  Sub-proof #496 shows that the following formulas are inconsistent:
% 173.97/27.22  ----------------------------------------------------------------
% 173.97/27.22    (1)  all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2
% 173.97/27.22    (2)  all_58_23 = e1
% 173.97/27.22    (3)   ~ (e2 = e1)
% 173.97/27.22  
% 173.97/27.22  Begin of proof
% 173.97/27.22  | 
% 173.97/27.22  | ALPHA: (1) implies:
% 173.97/27.22  |   (4)  all_58_23 = e2
% 173.97/27.22  | 
% 173.97/27.22  | COMBINE_EQS: (2), (4) imply:
% 173.97/27.22  |   (5)  e2 = e1
% 173.97/27.22  | 
% 173.97/27.22  | REDUCE: (3), (5) imply:
% 173.97/27.22  |   (6)  $false
% 173.97/27.22  | 
% 173.97/27.22  | CLOSE: (6) is inconsistent.
% 173.97/27.22  | 
% 173.97/27.22  End of proof
% 173.97/27.22  
% 173.97/27.22  Sub-proof #497 shows that the following formulas are inconsistent:
% 173.97/27.22  ----------------------------------------------------------------
% 173.97/27.22    (1)  all_58_24 = e2
% 173.97/27.22    (2)  all_58_24 = e1
% 173.97/27.22    (3)   ~ (e2 = e1)
% 173.97/27.22  
% 173.97/27.22  Begin of proof
% 173.97/27.22  | 
% 173.97/27.22  | COMBINE_EQS: (1), (2) imply:
% 173.97/27.22  |   (4)  e2 = e1
% 173.97/27.22  | 
% 173.97/27.22  | SIMP: (4) implies:
% 173.97/27.22  |   (5)  e2 = e1
% 173.97/27.22  | 
% 173.97/27.22  | REDUCE: (3), (5) imply:
% 173.97/27.22  |   (6)  $false
% 173.97/27.22  | 
% 173.97/27.22  | CLOSE: (6) is inconsistent.
% 173.97/27.22  | 
% 173.97/27.22  End of proof
% 173.97/27.22  
% 173.97/27.22  Sub-proof #498 shows that the following formulas are inconsistent:
% 173.97/27.22  ----------------------------------------------------------------
% 173.97/27.22    (1)  op(e1, e0) = all_52_14
% 173.97/27.22    (2)  all_56_11 = all_52_14
% 173.97/27.22    (3)   ~ (e3 = e2)
% 173.97/27.22    (4)  all_40_1 = e1
% 173.97/27.22    (5)  all_56_8 = e0
% 173.97/27.22    (6)   ~ (e3 = e0)
% 173.97/27.22    (7)   ~ (all_40_0 = e3) |  ~ (all_40_1 = e1)
% 173.97/27.22    (8)  all_56_7 = e2
% 173.97/27.22    (9)  all_40_0 = all_4_0
% 173.97/27.22    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.97/27.22            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.97/27.22    (11)  op(e1, e0) = all_4_0
% 173.97/27.22    (12)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 173.97/27.22  
% 173.97/27.22  Begin of proof
% 173.97/27.22  | 
% 173.97/27.22  | BETA: splitting (7) gives:
% 173.97/27.22  | 
% 173.97/27.22  | Case 1:
% 173.97/27.22  | | 
% 173.97/27.22  | |   (13)   ~ (all_40_1 = e1)
% 173.97/27.22  | | 
% 173.97/27.22  | | REDUCE: (4), (13) imply:
% 173.97/27.22  | |   (14)  $false
% 173.97/27.22  | | 
% 173.97/27.22  | | CLOSE: (14) is inconsistent.
% 173.97/27.22  | | 
% 173.97/27.22  | Case 2:
% 173.97/27.22  | | 
% 173.97/27.22  | |   (15)   ~ (all_40_0 = e3)
% 173.97/27.22  | | 
% 173.97/27.22  | | REDUCE: (9), (15) imply:
% 173.97/27.22  | |   (16)   ~ (all_4_0 = e3)
% 173.97/27.22  | | 
% 173.97/27.22  | | REF_CLOSE: (1), (2), (3), (5), (6), (8), (10), (11), (12), (16) are
% 173.97/27.22  | |            inconsistent by sub-proof #541.
% 173.97/27.22  | | 
% 173.97/27.22  | End of split
% 173.97/27.22  | 
% 173.97/27.22  End of proof
% 173.97/27.22  
% 173.97/27.22  Sub-proof #499 shows that the following formulas are inconsistent:
% 173.97/27.22  ----------------------------------------------------------------
% 173.97/27.22    (1)   ~ (e3 = e1)
% 173.97/27.22    (2)  all_58_21 = e0
% 173.97/27.22    (3)  e3 = e1
% 173.97/27.23    (4)  all_58_20 = e3
% 173.97/27.23    (5)  all_58_20 = e3 | all_58_21 = e2
% 173.97/27.23    (6)   ~ (e2 = e0)
% 173.97/27.23  
% 173.97/27.23  Begin of proof
% 173.97/27.23  | 
% 173.97/27.23  | SIMP: (3) implies:
% 173.97/27.23  |   (7)  e3 = e1
% 173.97/27.23  | 
% 173.97/27.23  | COMBINE_EQS: (4), (7) imply:
% 173.97/27.23  |   (8)  all_58_20 = e1
% 173.97/27.23  | 
% 173.97/27.23  | REF_CLOSE: (1), (2), (5), (6), (8) are inconsistent by sub-proof #676.
% 173.97/27.23  | 
% 173.97/27.23  End of proof
% 173.97/27.23  
% 173.97/27.23  Sub-proof #500 shows that the following formulas are inconsistent:
% 173.97/27.23  ----------------------------------------------------------------
% 173.97/27.23    (1)   ~ (e3 = e1)
% 173.97/27.23    (2)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 173.97/27.23    (3)  all_58_19 = all_6_1
% 173.97/27.23    (4)   ~ (all_52_1 = all_6_1)
% 173.97/27.23    (5)  all_58_17 = all_52_1
% 173.97/27.23    (6)   ~ (all_6_1 = e1)
% 173.97/27.23    (7)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 173.97/27.23    (8)   ~ (e2 = e1)
% 173.97/27.23    (9)   ~ (all_52_2 = e1)
% 173.97/27.23    (10)  all_58_18 = all_52_2
% 173.97/27.23    (11)  all_58_16 = e0
% 173.97/27.23    (12)  all_56_2 = all_52_1
% 173.97/27.23    (13)   ~ (e3 = e0)
% 173.97/27.23    (14)  all_56_12 = all_6_1
% 173.97/27.23    (15)  all_56_6 = all_52_2
% 173.97/27.23    (16)  all_54_12 = all_6_1
% 173.97/27.23    (17)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 173.97/27.23    (18)   ~ (all_6_1 = e0)
% 173.97/27.23  
% 173.97/27.23  Begin of proof
% 173.97/27.23  | 
% 173.97/27.23  | BETA: splitting (7) gives:
% 173.97/27.23  | 
% 173.97/27.23  | Case 1:
% 173.97/27.23  | | 
% 173.97/27.23  | |   (19)  all_56_2 = e1
% 173.97/27.23  | | 
% 173.97/27.23  | | COMBINE_EQS: (12), (19) imply:
% 173.97/27.23  | |   (20)  all_52_1 = e1
% 173.97/27.23  | | 
% 173.97/27.23  | | COMBINE_EQS: (5), (20) imply:
% 173.97/27.23  | |   (21)  all_58_17 = e1
% 173.97/27.23  | | 
% 173.97/27.23  | | REF_CLOSE: (2), (3), (8), (9), (10), (11), (13), (18), (21) are inconsistent
% 173.97/27.23  | |            by sub-proof #629.
% 173.97/27.23  | | 
% 173.97/27.23  | Case 2:
% 173.97/27.23  | | 
% 173.97/27.23  | |   (22)  all_56_6 = e1 | all_56_12 = e1
% 173.97/27.23  | | 
% 173.97/27.23  | | BETA: splitting (2) gives:
% 173.97/27.23  | | 
% 173.97/27.23  | | Case 1:
% 173.97/27.23  | | | 
% 173.97/27.23  | | |   (23)  all_58_19 = e0
% 173.97/27.23  | | | 
% 173.97/27.23  | | | COMBINE_EQS: (3), (23) imply:
% 173.97/27.23  | | |   (24)  all_6_1 = e0
% 173.97/27.23  | | | 
% 173.97/27.23  | | | REDUCE: (18), (24) imply:
% 173.97/27.23  | | |   (25)  $false
% 173.97/27.23  | | | 
% 173.97/27.23  | | | CLOSE: (25) is inconsistent.
% 173.97/27.23  | | | 
% 173.97/27.23  | | Case 2:
% 173.97/27.23  | | | 
% 173.97/27.23  | | |   (26)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 173.97/27.23  | | | 
% 173.97/27.23  | | | BETA: splitting (26) gives:
% 173.97/27.23  | | | 
% 173.97/27.23  | | | Case 1:
% 173.97/27.23  | | | | 
% 173.97/27.23  | | | |   (27)  all_58_18 = e1
% 173.97/27.23  | | | | 
% 173.97/27.23  | | | | COMBINE_EQS: (10), (27) imply:
% 173.97/27.23  | | | |   (28)  all_52_2 = e1
% 173.97/27.23  | | | | 
% 173.97/27.23  | | | | REDUCE: (9), (28) imply:
% 173.97/27.23  | | | |   (29)  $false
% 173.97/27.23  | | | | 
% 173.97/27.23  | | | | CLOSE: (29) is inconsistent.
% 173.97/27.23  | | | | 
% 173.97/27.23  | | | Case 2:
% 173.97/27.23  | | | | 
% 173.97/27.23  | | | |   (30)   ~ (all_58_18 = e1)
% 173.97/27.23  | | | |   (31)  all_58_16 = e3 | all_58_17 = e2
% 173.97/27.23  | | | | 
% 173.97/27.23  | | | | BETA: splitting (31) gives:
% 173.97/27.23  | | | | 
% 173.97/27.23  | | | | Case 1:
% 173.97/27.23  | | | | | 
% 173.97/27.23  | | | | |   (32)  all_58_17 = e2
% 173.97/27.23  | | | | | 
% 173.97/27.23  | | | | | COMBINE_EQS: (5), (32) imply:
% 173.97/27.23  | | | | |   (33)  all_52_1 = e2
% 173.97/27.23  | | | | | 
% 173.97/27.23  | | | | | REDUCE: (4), (33) imply:
% 173.97/27.23  | | | | |   (34)   ~ (all_6_1 = e2)
% 173.97/27.23  | | | | | 
% 173.97/27.23  | | | | | SIMP: (34) implies:
% 173.97/27.23  | | | | |   (35)   ~ (all_6_1 = e2)
% 173.97/27.23  | | | | | 
% 173.97/27.23  | | | | | BETA: splitting (17) gives:
% 173.97/27.23  | | | | | 
% 173.97/27.23  | | | | | Case 1:
% 173.97/27.23  | | | | | | 
% 173.97/27.23  | | | | | |   (36)  all_54_12 = e1
% 173.97/27.23  | | | | | | 
% 173.97/27.23  | | | | | | REF_CLOSE: (6), (16), (36) are inconsistent by sub-proof #641.
% 173.97/27.23  | | | | | | 
% 173.97/27.23  | | | | | Case 2:
% 173.97/27.23  | | | | | | 
% 173.97/27.23  | | | | | |   (37)  all_54_12 = e3 | all_54_12 = e2
% 173.97/27.23  | | | | | | 
% 173.97/27.23  | | | | | | BETA: splitting (37) gives:
% 173.97/27.23  | | | | | | 
% 173.97/27.23  | | | | | | Case 1:
% 173.97/27.23  | | | | | | | 
% 173.97/27.23  | | | | | | |   (38)  all_54_12 = e2
% 173.97/27.23  | | | | | | | 
% 173.97/27.23  | | | | | | | REF_CLOSE: (16), (35), (38) are inconsistent by sub-proof #640.
% 173.97/27.23  | | | | | | | 
% 173.97/27.23  | | | | | | Case 2:
% 173.97/27.23  | | | | | | | 
% 173.97/27.23  | | | | | | |   (39)  all_54_12 = e3
% 173.97/27.23  | | | | | | | 
% 173.97/27.23  | | | | | | | COMBINE_EQS: (16), (39) imply:
% 173.97/27.23  | | | | | | |   (40)  all_6_1 = e3
% 173.97/27.23  | | | | | | | 
% 173.97/27.23  | | | | | | | SIMP: (40) implies:
% 173.97/27.23  | | | | | | |   (41)  all_6_1 = e3
% 173.97/27.23  | | | | | | | 
% 173.97/27.23  | | | | | | | COMBINE_EQS: (14), (41) imply:
% 173.97/27.23  | | | | | | |   (42)  all_56_12 = e3
% 173.97/27.23  | | | | | | | 
% 173.97/27.23  | | | | | | | BETA: splitting (22) gives:
% 173.97/27.23  | | | | | | | 
% 173.97/27.23  | | | | | | | Case 1:
% 173.97/27.23  | | | | | | | | 
% 173.97/27.23  | | | | | | | |   (43)  all_56_6 = e1
% 173.97/27.23  | | | | | | | | 
% 173.97/27.23  | | | | | | | | REF_CLOSE: (9), (15), (43) are inconsistent by sub-proof #583.
% 173.97/27.23  | | | | | | | | 
% 173.97/27.23  | | | | | | | Case 2:
% 173.97/27.23  | | | | | | | | 
% 173.97/27.23  | | | | | | | |   (44)  all_56_12 = e1
% 173.97/27.23  | | | | | | | | 
% 173.97/27.23  | | | | | | | | REF_CLOSE: (1), (42), (44) are inconsistent by sub-proof #582.
% 173.97/27.23  | | | | | | | | 
% 173.97/27.23  | | | | | | | End of split
% 173.97/27.23  | | | | | | | 
% 173.97/27.23  | | | | | | End of split
% 173.97/27.23  | | | | | | 
% 173.97/27.23  | | | | | End of split
% 173.97/27.23  | | | | | 
% 173.97/27.23  | | | | Case 2:
% 173.97/27.23  | | | | | 
% 173.97/27.23  | | | | |   (45)  all_58_16 = e3
% 173.97/27.23  | | | | | 
% 173.97/27.23  | | | | | REF_CLOSE: (11), (13), (45) are inconsistent by sub-proof #633.
% 173.97/27.23  | | | | | 
% 173.97/27.23  | | | | End of split
% 173.97/27.23  | | | | 
% 173.97/27.23  | | | End of split
% 173.97/27.23  | | | 
% 173.97/27.23  | | End of split
% 173.97/27.23  | | 
% 173.97/27.23  | End of split
% 173.97/27.23  | 
% 173.97/27.23  End of proof
% 173.97/27.23  
% 173.97/27.23  Sub-proof #501 shows that the following formulas are inconsistent:
% 173.97/27.23  ----------------------------------------------------------------
% 173.97/27.23    (1)   ~ (e3 = e1)
% 173.97/27.23    (2)   ~ (all_56_4 = e1)
% 173.97/27.23    (3)   ~ (all_52_8 = e2)
% 173.97/27.23    (4)   ~ (e3 = e2)
% 173.97/27.23    (5)  all_56_9 = e3
% 173.97/27.23    (6)   ~ (e2 = e1)
% 173.97/27.23    (7)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 173.97/27.23    (8)  all_56_4 = all_52_8
% 173.97/27.23    (9)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 173.97/27.23    (10)  all_56_0 = e0
% 173.97/27.23    (11)   ~ (e2 = e0)
% 173.97/27.23    (12)   ~ (e1 = e0)
% 173.97/27.23  
% 173.97/27.23  Begin of proof
% 173.97/27.23  | 
% 173.97/27.23  | REDUCE: (2), (8) imply:
% 173.97/27.23  |   (13)   ~ (all_52_8 = e1)
% 173.97/27.23  | 
% 173.97/27.23  | BETA: splitting (7) gives:
% 173.97/27.23  | 
% 173.97/27.23  | Case 1:
% 173.97/27.23  | | 
% 173.97/27.23  | |   (14)  all_56_0 = e2
% 173.97/27.23  | | 
% 173.97/27.23  | | COMBINE_EQS: (10), (14) imply:
% 173.97/27.23  | |   (15)  e2 = e0
% 173.97/27.23  | | 
% 173.97/27.23  | | REDUCE: (11), (15) imply:
% 173.97/27.23  | |   (16)  $false
% 173.97/27.23  | | 
% 173.97/27.23  | | CLOSE: (16) is inconsistent.
% 173.97/27.23  | | 
% 173.97/27.23  | Case 2:
% 173.97/27.23  | | 
% 173.97/27.23  | |   (17)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 173.97/27.23  | | 
% 173.97/27.23  | | BETA: splitting (17) gives:
% 173.97/27.23  | | 
% 173.97/27.23  | | Case 1:
% 173.97/27.23  | | | 
% 173.97/27.23  | | |   (18)  all_56_1 = e2
% 173.97/27.23  | | | 
% 173.97/27.23  | | | BETA: splitting (9) gives:
% 173.97/27.23  | | | 
% 173.97/27.23  | | | Case 1:
% 173.97/27.23  | | | | 
% 173.97/27.23  | | | |   (19)  all_56_0 = e1
% 173.97/27.23  | | | | 
% 173.97/27.23  | | | | COMBINE_EQS: (10), (19) imply:
% 173.97/27.23  | | | |   (20)  e1 = e0
% 173.97/27.23  | | | | 
% 173.97/27.23  | | | | REDUCE: (12), (20) imply:
% 173.97/27.23  | | | |   (21)  $false
% 173.97/27.23  | | | | 
% 173.97/27.23  | | | | CLOSE: (21) is inconsistent.
% 173.97/27.23  | | | | 
% 173.97/27.23  | | | Case 2:
% 173.97/27.23  | | | | 
% 173.97/27.23  | | | |   (22)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 173.97/27.23  | | | | 
% 173.97/27.23  | | | | BETA: splitting (22) gives:
% 173.97/27.23  | | | | 
% 173.97/27.23  | | | | Case 1:
% 173.97/27.23  | | | | | 
% 173.97/27.23  | | | | |   (23)  all_56_1 = e1
% 173.97/27.23  | | | | | 
% 173.97/27.23  | | | | | REF_CLOSE: (6), (18), (23) are inconsistent by sub-proof #724.
% 173.97/27.23  | | | | | 
% 173.97/27.23  | | | | Case 2:
% 173.97/27.23  | | | | | 
% 173.97/27.23  | | | | |   (24)  all_56_4 = e1 | all_56_9 = e1
% 173.97/27.23  | | | | | 
% 173.97/27.23  | | | | | REF_CLOSE: (1), (5), (8), (13), (24) are inconsistent by sub-proof
% 173.97/27.23  | | | | |            #503.
% 173.97/27.23  | | | | | 
% 173.97/27.23  | | | | End of split
% 173.97/27.23  | | | | 
% 173.97/27.23  | | | End of split
% 173.97/27.23  | | | 
% 173.97/27.23  | | Case 2:
% 173.97/27.23  | | | 
% 173.97/27.23  | | |   (25)  all_56_4 = e2 | all_56_9 = e2
% 173.97/27.23  | | | 
% 173.97/27.23  | | | REF_CLOSE: (3), (4), (5), (8), (25) are inconsistent by sub-proof #502.
% 173.97/27.23  | | | 
% 173.97/27.23  | | End of split
% 173.97/27.23  | | 
% 173.97/27.23  | End of split
% 173.97/27.23  | 
% 173.97/27.23  End of proof
% 173.97/27.23  
% 173.97/27.23  Sub-proof #502 shows that the following formulas are inconsistent:
% 173.97/27.23  ----------------------------------------------------------------
% 173.97/27.23    (1)  all_56_4 = e2 | all_56_9 = e2
% 173.97/27.23    (2)   ~ (all_52_8 = e2)
% 173.97/27.23    (3)   ~ (e3 = e2)
% 173.97/27.23    (4)  all_56_9 = e3
% 173.97/27.23    (5)  all_56_4 = all_52_8
% 173.97/27.23  
% 173.97/27.23  Begin of proof
% 173.97/27.23  | 
% 173.97/27.23  | BETA: splitting (1) gives:
% 173.97/27.23  | 
% 173.97/27.23  | Case 1:
% 173.97/27.23  | | 
% 173.97/27.23  | |   (6)  all_56_4 = e2
% 173.97/27.23  | | 
% 173.97/27.23  | | REF_CLOSE: (2), (5), (6) are inconsistent by sub-proof #600.
% 173.97/27.23  | | 
% 173.97/27.23  | Case 2:
% 173.97/27.23  | | 
% 173.97/27.23  | |   (7)  all_56_9 = e2
% 173.97/27.23  | | 
% 173.97/27.23  | | REF_CLOSE: (3), (4), (7) are inconsistent by sub-proof #835.
% 173.97/27.23  | | 
% 173.97/27.23  | End of split
% 173.97/27.23  | 
% 173.97/27.23  End of proof
% 173.97/27.23  
% 173.97/27.23  Sub-proof #503 shows that the following formulas are inconsistent:
% 173.97/27.23  ----------------------------------------------------------------
% 173.97/27.23    (1)   ~ (all_52_8 = e1)
% 173.97/27.23    (2)   ~ (e3 = e1)
% 173.97/27.23    (3)  all_56_4 = e1 | all_56_9 = e1
% 173.97/27.23    (4)  all_56_9 = e3
% 173.97/27.23    (5)  all_56_4 = all_52_8
% 173.97/27.23  
% 173.97/27.23  Begin of proof
% 173.97/27.23  | 
% 173.97/27.23  | BETA: splitting (3) gives:
% 173.97/27.23  | 
% 173.97/27.23  | Case 1:
% 173.97/27.23  | | 
% 173.97/27.23  | |   (6)  all_56_4 = e1
% 173.97/27.23  | | 
% 173.97/27.23  | | REF_CLOSE: (1), (5), (6) are inconsistent by sub-proof #504.
% 173.97/27.23  | | 
% 173.97/27.23  | Case 2:
% 173.97/27.23  | | 
% 173.97/27.23  | |   (7)  all_56_9 = e1
% 173.97/27.23  | | 
% 173.97/27.23  | | REF_CLOSE: (2), (4), (7) are inconsistent by sub-proof #516.
% 173.97/27.23  | | 
% 173.97/27.23  | End of split
% 173.97/27.23  | 
% 173.97/27.23  End of proof
% 173.97/27.23  
% 173.97/27.23  Sub-proof #504 shows that the following formulas are inconsistent:
% 173.97/27.23  ----------------------------------------------------------------
% 173.97/27.23    (1)  all_56_4 = all_52_8
% 173.97/27.23    (2)  all_56_4 = e1
% 173.97/27.23    (3)   ~ (all_52_8 = e1)
% 173.97/27.23  
% 173.97/27.23  Begin of proof
% 173.97/27.23  | 
% 173.97/27.23  | COMBINE_EQS: (1), (2) imply:
% 173.97/27.23  |   (4)  all_52_8 = e1
% 173.97/27.23  | 
% 173.97/27.23  | SIMP: (4) implies:
% 173.97/27.23  |   (5)  all_52_8 = e1
% 173.97/27.23  | 
% 173.97/27.23  | REDUCE: (3), (5) imply:
% 173.97/27.23  |   (6)  $false
% 173.97/27.23  | 
% 173.97/27.23  | CLOSE: (6) is inconsistent.
% 173.97/27.23  | 
% 173.97/27.23  End of proof
% 173.97/27.23  
% 173.97/27.23  Sub-proof #505 shows that the following formulas are inconsistent:
% 173.97/27.23  ----------------------------------------------------------------
% 173.97/27.23    (1)  all_56_11 = e2
% 173.97/27.23    (2)  all_56_11 = e0
% 173.97/27.23    (3)   ~ (e2 = e0)
% 173.97/27.23  
% 173.97/27.23  Begin of proof
% 173.97/27.23  | 
% 173.97/27.23  | COMBINE_EQS: (1), (2) imply:
% 173.97/27.23  |   (4)  e2 = e0
% 173.97/27.23  | 
% 173.97/27.23  | SIMP: (4) implies:
% 173.97/27.23  |   (5)  e2 = e0
% 173.97/27.23  | 
% 173.97/27.23  | REDUCE: (3), (5) imply:
% 173.97/27.23  |   (6)  $false
% 173.97/27.23  | 
% 173.97/27.23  | CLOSE: (6) is inconsistent.
% 173.97/27.23  | 
% 173.97/27.23  End of proof
% 173.97/27.23  
% 173.97/27.23  Sub-proof #506 shows that the following formulas are inconsistent:
% 173.97/27.23  ----------------------------------------------------------------
% 173.97/27.23    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 173.97/27.23    (2)   ~ (all_52_8 = all_52_12)
% 173.97/27.23    (3)   ~ (all_52_4 = all_4_2)
% 173.97/27.23    (4)  all_54_1 = all_52_4
% 173.97/27.23    (5)  all_58_29 = e1
% 173.97/27.23    (6)  all_54_2 = all_52_8
% 173.97/27.23    (7)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1
% 173.97/27.23    (8)  all_58_28 = e3 | all_58_29 = e2
% 173.97/27.23    (9)   ~ (all_52_8 = e2)
% 173.97/27.23    (10)  all_58_22 = e1
% 173.97/27.23    (11)  all_58_20 = all_52_4
% 173.97/27.23    (12)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 173.97/27.23    (13)   ~ (all_52_4 = all_52_12)
% 173.97/27.23    (14)   ~ (all_52_4 = all_52_8)
% 173.97/27.23    (15)  all_58_21 = all_4_2
% 173.97/27.23    (16)   ~ (e2 = e0)
% 173.97/27.23    (17)  all_58_28 = all_52_12
% 173.97/27.23    (18)  e1 = e0
% 173.97/27.23    (19)   ~ (all_52_8 = e0)
% 173.97/27.23  
% 173.97/27.23  Begin of proof
% 173.97/27.23  | 
% 173.97/27.23  | COMBINE_EQS: (5), (18) imply:
% 173.97/27.23  |   (20)  all_58_29 = e0
% 173.97/27.23  | 
% 173.97/27.23  | COMBINE_EQS: (10), (18) imply:
% 173.97/27.23  |   (21)  all_58_22 = e0
% 173.97/27.23  | 
% 173.97/27.23  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (11), (12), (13), (14),
% 173.97/27.23  |            (15), (16), (17), (19), (20), (21) are inconsistent by sub-proof
% 173.97/27.23  |            #604.
% 173.97/27.23  | 
% 173.97/27.23  End of proof
% 173.97/27.23  
% 173.97/27.23  Sub-proof #507 shows that the following formulas are inconsistent:
% 173.97/27.23  ----------------------------------------------------------------
% 173.97/27.23    (1)  all_58_25 = e3
% 173.97/27.23    (2)  all_58_25 = e1
% 173.97/27.23    (3)   ~ (e3 = e1)
% 173.97/27.23  
% 173.97/27.23  Begin of proof
% 173.97/27.23  | 
% 173.97/27.23  | COMBINE_EQS: (1), (2) imply:
% 173.97/27.23  |   (4)  e3 = e1
% 173.97/27.23  | 
% 173.97/27.23  | SIMP: (4) implies:
% 173.97/27.23  |   (5)  e3 = e1
% 173.97/27.23  | 
% 173.97/27.23  | REDUCE: (3), (5) imply:
% 173.97/27.23  |   (6)  $false
% 173.97/27.23  | 
% 173.97/27.23  | CLOSE: (6) is inconsistent.
% 173.97/27.23  | 
% 173.97/27.23  End of proof
% 173.97/27.23  
% 173.97/27.23  Sub-proof #508 shows that the following formulas are inconsistent:
% 173.97/27.23  ----------------------------------------------------------------
% 173.97/27.23    (1)  all_58_19 = e3
% 173.97/27.23    (2)  all_58_19 = e1
% 173.97/27.23    (3)   ~ (e3 = e1)
% 173.97/27.23  
% 173.97/27.23  Begin of proof
% 173.97/27.23  | 
% 173.97/27.23  | COMBINE_EQS: (1), (2) imply:
% 173.97/27.23  |   (4)  e3 = e1
% 173.97/27.23  | 
% 173.97/27.23  | SIMP: (4) implies:
% 173.97/27.23  |   (5)  e3 = e1
% 173.97/27.23  | 
% 173.97/27.23  | REDUCE: (3), (5) imply:
% 173.97/27.23  |   (6)  $false
% 173.97/27.23  | 
% 173.97/27.23  | CLOSE: (6) is inconsistent.
% 173.97/27.23  | 
% 173.97/27.23  End of proof
% 173.97/27.23  
% 173.97/27.23  Sub-proof #509 shows that the following formulas are inconsistent:
% 173.97/27.23  ----------------------------------------------------------------
% 173.97/27.23    (1)  all_58_29 = e1
% 173.97/27.23    (2)  all_58_28 = e3 | all_58_29 = e2
% 173.97/27.23    (3)   ~ (e2 = e1)
% 173.97/27.23    (4)  all_58_28 = e0
% 173.97/27.23    (5)   ~ (e3 = e0)
% 173.97/27.23  
% 173.97/27.23  Begin of proof
% 173.97/27.23  | 
% 173.97/27.23  | BETA: splitting (2) gives:
% 173.97/27.23  | 
% 173.97/27.23  | Case 1:
% 173.97/27.23  | | 
% 173.97/27.23  | |   (6)  all_58_29 = e2
% 173.97/27.23  | | 
% 173.97/27.23  | | REF_CLOSE: (1), (3), (6) are inconsistent by sub-proof #858.
% 173.97/27.23  | | 
% 173.97/27.23  | Case 2:
% 173.97/27.23  | | 
% 173.97/27.23  | |   (7)  all_58_28 = e3
% 173.97/27.23  | | 
% 173.97/27.23  | | REF_CLOSE: (4), (5), (7) are inconsistent by sub-proof #857.
% 173.97/27.23  | | 
% 173.97/27.23  | End of split
% 173.97/27.23  | 
% 173.97/27.23  End of proof
% 173.97/27.23  
% 173.97/27.23  Sub-proof #510 shows that the following formulas are inconsistent:
% 173.97/27.23  ----------------------------------------------------------------
% 173.97/27.23    (1)  all_56_1 = all_52_4
% 173.97/27.23    (2)   ~ (e3 = e1)
% 173.97/27.23    (3)  all_56_4 = e3
% 173.97/27.23    (4)   ~ (all_4_1 = e1)
% 173.97/27.23    (5)   ~ (all_52_4 = e1)
% 173.97/27.23    (6)  all_24_1 = all_4_1
% 173.97/27.23    (7)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 173.97/27.23    (8)  all_56_9 = all_52_12
% 173.97/27.23    (9)  all_24_0 = all_4_0
% 173.97/27.23    (10)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 173.97/27.23    (11)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3)
% 173.97/27.23    (12)  op(e3, e0) = all_52_12
% 173.97/27.23    (13)  all_54_13 = all_4_1
% 173.97/27.23    (14)   ~ (all_4_1 = e2)
% 173.97/27.23    (15)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 173.97/27.23    (16)  op(all_4_1, e0) = all_4_0
% 173.97/27.23    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.97/27.23            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.97/27.23    (18)  all_56_0 = e0
% 173.97/27.23    (19)   ~ (e1 = e0)
% 173.97/27.23  
% 173.97/27.23  Begin of proof
% 173.97/27.23  | 
% 173.97/27.23  | BETA: splitting (15) gives:
% 173.97/27.23  | 
% 173.97/27.23  | Case 1:
% 173.97/27.23  | | 
% 173.97/27.23  | |   (20)  all_56_0 = e1
% 173.97/27.23  | | 
% 173.97/27.23  | | REF_CLOSE: (18), (19), (20) are inconsistent by sub-proof #603.
% 173.97/27.23  | | 
% 173.97/27.23  | Case 2:
% 173.97/27.23  | | 
% 173.97/27.23  | |   (21)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 173.97/27.23  | | 
% 173.97/27.23  | | BETA: splitting (10) gives:
% 173.97/27.23  | | 
% 173.97/27.23  | | Case 1:
% 173.97/27.23  | | | 
% 173.97/27.23  | | |   (22)  all_56_9 = e1
% 173.97/27.23  | | | 
% 173.97/27.23  | | | COMBINE_EQS: (8), (22) imply:
% 173.97/27.23  | | |   (23)  all_52_12 = e1
% 173.97/27.23  | | | 
% 173.97/27.23  | | | REDUCE: (12), (23) imply:
% 173.97/27.23  | | |   (24)  op(e3, e0) = e1
% 173.97/27.23  | | | 
% 173.97/27.23  | | | BETA: splitting (7) gives:
% 173.97/27.23  | | | 
% 173.97/27.23  | | | Case 1:
% 173.97/27.23  | | | | 
% 173.97/27.23  | | | |   (25)  all_54_13 = e1
% 173.97/27.23  | | | | 
% 173.97/27.23  | | | | REF_CLOSE: (4), (13), (25) are inconsistent by sub-proof #515.
% 173.97/27.23  | | | | 
% 173.97/27.23  | | | Case 2:
% 173.97/27.23  | | | | 
% 173.97/27.23  | | | |   (26)  all_54_13 = e3 | all_54_13 = e2
% 173.97/27.23  | | | | 
% 173.97/27.23  | | | | REF_CLOSE: (6), (9), (11), (13), (14), (16), (17), (24), (26) are
% 173.97/27.23  | | | |            inconsistent by sub-proof #514.
% 173.97/27.23  | | | | 
% 173.97/27.23  | | | End of split
% 173.97/27.23  | | | 
% 173.97/27.23  | | Case 2:
% 173.97/27.23  | | | 
% 173.97/27.23  | | |   (27)   ~ (all_56_9 = e1)
% 173.97/27.23  | | | 
% 173.97/27.23  | | | REDUCE: (8), (27) imply:
% 173.97/27.23  | | |   (28)   ~ (all_52_12 = e1)
% 173.97/27.23  | | | 
% 173.97/27.23  | | | REF_CLOSE: (1), (2), (3), (5), (8), (21), (28) are inconsistent by
% 173.97/27.23  | | |            sub-proof #511.
% 173.97/27.23  | | | 
% 173.97/27.23  | | End of split
% 173.97/27.23  | | 
% 173.97/27.23  | End of split
% 173.97/27.23  | 
% 173.97/27.23  End of proof
% 173.97/27.23  
% 173.97/27.23  Sub-proof #511 shows that the following formulas are inconsistent:
% 173.97/27.23  ----------------------------------------------------------------
% 173.97/27.23    (1)  all_56_1 = all_52_4
% 173.97/27.23    (2)   ~ (e3 = e1)
% 173.97/27.23    (3)  all_56_4 = e3
% 173.97/27.23    (4)   ~ (all_52_4 = e1)
% 173.97/27.23    (5)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 173.97/27.23    (6)  all_56_9 = all_52_12
% 173.97/27.23    (7)   ~ (all_52_12 = e1)
% 173.97/27.23  
% 173.97/27.23  Begin of proof
% 173.97/27.23  | 
% 173.97/27.23  | BETA: splitting (5) gives:
% 173.97/27.23  | 
% 173.97/27.23  | Case 1:
% 173.97/27.23  | | 
% 173.97/27.23  | |   (8)  all_56_1 = e1
% 173.97/27.23  | | 
% 173.97/27.23  | | REF_CLOSE: (1), (4), (8) are inconsistent by sub-proof #513.
% 173.97/27.23  | | 
% 173.97/27.23  | Case 2:
% 173.97/27.23  | | 
% 173.97/27.23  | |   (9)  all_56_4 = e1 | all_56_9 = e1
% 173.97/27.23  | | 
% 173.97/27.23  | | REF_CLOSE: (2), (3), (6), (7), (9) are inconsistent by sub-proof #512.
% 173.97/27.23  | | 
% 173.97/27.23  | End of split
% 173.97/27.23  | 
% 173.97/27.23  End of proof
% 173.97/27.23  
% 173.97/27.23  Sub-proof #512 shows that the following formulas are inconsistent:
% 173.97/27.23  ----------------------------------------------------------------
% 173.97/27.23    (1)   ~ (e3 = e1)
% 173.97/27.23    (2)  all_56_4 = e3
% 173.97/27.23    (3)  all_56_4 = e1 | all_56_9 = e1
% 173.97/27.23    (4)  all_56_9 = all_52_12
% 173.97/27.23    (5)   ~ (all_52_12 = e1)
% 173.97/27.23  
% 173.97/27.23  Begin of proof
% 173.97/27.23  | 
% 173.97/27.23  | BETA: splitting (3) gives:
% 173.97/27.23  | 
% 173.97/27.23  | Case 1:
% 173.97/27.23  | | 
% 173.97/27.23  | |   (6)  all_56_4 = e1
% 173.97/27.23  | | 
% 173.97/27.23  | | COMBINE_EQS: (2), (6) imply:
% 173.97/27.23  | |   (7)  e3 = e1
% 173.97/27.23  | | 
% 173.97/27.23  | | REDUCE: (1), (7) imply:
% 173.97/27.23  | |   (8)  $false
% 173.97/27.23  | | 
% 173.97/27.23  | | CLOSE: (8) is inconsistent.
% 173.97/27.23  | | 
% 173.97/27.23  | Case 2:
% 173.97/27.23  | | 
% 173.97/27.23  | |   (9)  all_56_9 = e1
% 173.97/27.23  | | 
% 173.97/27.23  | | COMBINE_EQS: (4), (9) imply:
% 173.97/27.23  | |   (10)  all_52_12 = e1
% 173.97/27.23  | | 
% 173.97/27.23  | | REDUCE: (5), (10) imply:
% 173.97/27.23  | |   (11)  $false
% 173.97/27.23  | | 
% 173.97/27.23  | | CLOSE: (11) is inconsistent.
% 173.97/27.23  | | 
% 173.97/27.23  | End of split
% 173.97/27.23  | 
% 173.97/27.23  End of proof
% 173.97/27.23  
% 173.97/27.23  Sub-proof #513 shows that the following formulas are inconsistent:
% 173.97/27.23  ----------------------------------------------------------------
% 173.97/27.23    (1)  all_56_1 = all_52_4
% 173.97/27.23    (2)  all_56_1 = e1
% 173.97/27.23    (3)   ~ (all_52_4 = e1)
% 173.97/27.23  
% 173.97/27.23  Begin of proof
% 173.97/27.23  | 
% 173.97/27.23  | COMBINE_EQS: (1), (2) imply:
% 173.97/27.23  |   (4)  all_52_4 = e1
% 173.97/27.23  | 
% 173.97/27.23  | SIMP: (4) implies:
% 173.97/27.23  |   (5)  all_52_4 = e1
% 173.97/27.23  | 
% 173.97/27.23  | REDUCE: (3), (5) imply:
% 173.97/27.23  |   (6)  $false
% 173.97/27.23  | 
% 173.97/27.23  | CLOSE: (6) is inconsistent.
% 173.97/27.23  | 
% 173.97/27.23  End of proof
% 173.97/27.23  
% 173.97/27.23  Sub-proof #514 shows that the following formulas are inconsistent:
% 173.97/27.23  ----------------------------------------------------------------
% 173.97/27.23    (1)  all_54_13 = e3 | all_54_13 = e2
% 173.97/27.23    (2)  all_24_1 = all_4_1
% 173.97/27.23    (3)  all_24_0 = all_4_0
% 173.97/27.23    (4)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3)
% 173.97/27.23    (5)  all_54_13 = all_4_1
% 173.97/27.23    (6)  op(e3, e0) = e1
% 173.97/27.23    (7)   ~ (all_4_1 = e2)
% 173.97/27.23    (8)  op(all_4_1, e0) = all_4_0
% 173.97/27.23    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.97/27.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.97/27.23  
% 173.97/27.23  Begin of proof
% 173.97/27.23  | 
% 173.97/27.23  | BETA: splitting (1) gives:
% 173.97/27.23  | 
% 173.97/27.23  | Case 1:
% 173.97/27.23  | | 
% 173.97/27.23  | |   (10)  all_54_13 = e2
% 173.97/27.23  | | 
% 173.97/27.23  | | COMBINE_EQS: (5), (10) imply:
% 173.97/27.23  | |   (11)  all_4_1 = e2
% 173.97/27.23  | | 
% 173.97/27.23  | | SIMP: (11) implies:
% 173.97/27.23  | |   (12)  all_4_1 = e2
% 173.97/27.23  | | 
% 173.97/27.23  | | REDUCE: (7), (12) imply:
% 173.97/27.23  | |   (13)  $false
% 173.97/27.23  | | 
% 173.97/27.23  | | CLOSE: (13) is inconsistent.
% 173.97/27.23  | | 
% 173.97/27.23  | Case 2:
% 173.97/27.23  | | 
% 173.97/27.23  | |   (14)  all_54_13 = e3
% 173.97/27.23  | | 
% 173.97/27.23  | | COMBINE_EQS: (5), (14) imply:
% 173.97/27.23  | |   (15)  all_4_1 = e3
% 173.97/27.23  | | 
% 173.97/27.23  | | SIMP: (15) implies:
% 173.97/27.23  | |   (16)  all_4_1 = e3
% 173.97/27.23  | | 
% 173.97/27.23  | | COMBINE_EQS: (2), (16) imply:
% 173.97/27.23  | |   (17)  all_24_1 = e3
% 173.97/27.23  | | 
% 173.97/27.23  | | REDUCE: (8), (16) imply:
% 173.97/27.23  | |   (18)  op(e3, e0) = all_4_0
% 173.97/27.23  | | 
% 173.97/27.23  | | REF_CLOSE: (3), (4), (6), (9), (17), (18) are inconsistent by sub-proof
% 173.97/27.23  | |            #565.
% 173.97/27.23  | | 
% 173.97/27.23  | End of split
% 173.97/27.23  | 
% 173.97/27.23  End of proof
% 173.97/27.23  
% 173.97/27.23  Sub-proof #515 shows that the following formulas are inconsistent:
% 173.97/27.23  ----------------------------------------------------------------
% 173.97/27.23    (1)  all_54_13 = all_4_1
% 173.97/27.23    (2)  all_54_13 = e1
% 173.97/27.23    (3)   ~ (all_4_1 = e1)
% 173.97/27.23  
% 173.97/27.23  Begin of proof
% 173.97/27.23  | 
% 173.97/27.23  | COMBINE_EQS: (1), (2) imply:
% 173.97/27.23  |   (4)  all_4_1 = e1
% 173.97/27.23  | 
% 173.97/27.23  | SIMP: (4) implies:
% 173.97/27.23  |   (5)  all_4_1 = e1
% 173.97/27.23  | 
% 173.97/27.23  | REDUCE: (3), (5) imply:
% 173.97/27.23  |   (6)  $false
% 173.97/27.23  | 
% 173.97/27.23  | CLOSE: (6) is inconsistent.
% 173.97/27.23  | 
% 173.97/27.23  End of proof
% 173.97/27.23  
% 173.97/27.23  Sub-proof #516 shows that the following formulas are inconsistent:
% 173.97/27.23  ----------------------------------------------------------------
% 173.97/27.23    (1)  all_56_9 = e3
% 173.97/27.23    (2)  all_56_9 = e1
% 173.97/27.23    (3)   ~ (e3 = e1)
% 173.97/27.23  
% 173.97/27.23  Begin of proof
% 173.97/27.23  | 
% 173.97/27.23  | COMBINE_EQS: (1), (2) imply:
% 173.97/27.23  |   (4)  e3 = e1
% 173.97/27.23  | 
% 173.97/27.23  | SIMP: (4) implies:
% 173.97/27.23  |   (5)  e3 = e1
% 173.97/27.23  | 
% 173.97/27.23  | REDUCE: (3), (5) imply:
% 173.97/27.23  |   (6)  $false
% 173.97/27.23  | 
% 173.97/27.23  | CLOSE: (6) is inconsistent.
% 173.97/27.23  | 
% 173.97/27.23  End of proof
% 173.97/27.23  
% 173.97/27.23  Sub-proof #517 shows that the following formulas are inconsistent:
% 173.97/27.23  ----------------------------------------------------------------
% 173.97/27.23    (1)  all_56_10 = all_52_13
% 173.97/27.23    (2)  all_56_10 = e2
% 173.97/27.23    (3)   ~ (all_52_13 = e2)
% 173.97/27.23  
% 173.97/27.23  Begin of proof
% 173.97/27.23  | 
% 173.97/27.23  | COMBINE_EQS: (1), (2) imply:
% 173.97/27.23  |   (4)  all_52_13 = e2
% 173.97/27.23  | 
% 173.97/27.23  | SIMP: (4) implies:
% 173.97/27.23  |   (5)  all_52_13 = e2
% 173.97/27.23  | 
% 173.97/27.23  | REDUCE: (3), (5) imply:
% 173.97/27.23  |   (6)  $false
% 173.97/27.23  | 
% 173.97/27.23  | CLOSE: (6) is inconsistent.
% 173.97/27.23  | 
% 173.97/27.23  End of proof
% 173.97/27.23  
% 173.97/27.23  Sub-proof #518 shows that the following formulas are inconsistent:
% 173.97/27.23  ----------------------------------------------------------------
% 173.97/27.23    (1)  all_56_7 = all_52_6
% 173.97/27.23    (2)  all_56_7 = e0
% 173.97/27.23    (3)   ~ (all_52_6 = e0)
% 173.97/27.23  
% 173.97/27.23  Begin of proof
% 173.97/27.23  | 
% 173.97/27.23  | COMBINE_EQS: (1), (2) imply:
% 173.97/27.23  |   (4)  all_52_6 = e0
% 173.97/27.23  | 
% 173.97/27.23  | SIMP: (4) implies:
% 173.97/27.23  |   (5)  all_52_6 = e0
% 173.97/27.23  | 
% 173.97/27.23  | REDUCE: (3), (5) imply:
% 173.97/27.23  |   (6)  $false
% 173.97/27.23  | 
% 173.97/27.23  | CLOSE: (6) is inconsistent.
% 173.97/27.23  | 
% 173.97/27.23  End of proof
% 173.97/27.23  
% 173.97/27.23  Sub-proof #519 shows that the following formulas are inconsistent:
% 173.97/27.23  ----------------------------------------------------------------
% 173.97/27.23    (1)  all_56_5 = all_52_9
% 173.97/27.23    (2)  all_56_5 = e0
% 173.97/27.23    (3)   ~ (all_52_9 = e0)
% 173.97/27.23  
% 173.97/27.23  Begin of proof
% 173.97/27.23  | 
% 173.97/27.23  | COMBINE_EQS: (1), (2) imply:
% 173.97/27.23  |   (4)  all_52_9 = e0
% 173.97/27.23  | 
% 173.97/27.23  | SIMP: (4) implies:
% 173.97/27.23  |   (5)  all_52_9 = e0
% 173.97/27.23  | 
% 173.97/27.23  | REDUCE: (3), (5) imply:
% 173.97/27.23  |   (6)  $false
% 173.97/27.23  | 
% 173.97/27.23  | CLOSE: (6) is inconsistent.
% 173.97/27.23  | 
% 173.97/27.23  End of proof
% 173.97/27.23  
% 173.97/27.23  Sub-proof #520 shows that the following formulas are inconsistent:
% 173.97/27.23  ----------------------------------------------------------------
% 173.97/27.23    (1)  all_56_6 = all_52_2
% 173.97/27.23    (2)  all_56_6 = e0
% 173.97/27.23    (3)   ~ (all_52_2 = e0)
% 173.97/27.23  
% 173.97/27.23  Begin of proof
% 173.97/27.23  | 
% 173.97/27.23  | COMBINE_EQS: (1), (2) imply:
% 173.97/27.23  |   (4)  all_52_2 = e0
% 173.97/27.23  | 
% 173.97/27.23  | SIMP: (4) implies:
% 173.97/27.23  |   (5)  all_52_2 = e0
% 173.97/27.23  | 
% 173.97/27.23  | REDUCE: (3), (5) imply:
% 173.97/27.23  |   (6)  $false
% 173.97/27.23  | 
% 173.97/27.23  | CLOSE: (6) is inconsistent.
% 173.97/27.23  | 
% 173.97/27.23  End of proof
% 173.97/27.23  
% 173.97/27.23  Sub-proof #521 shows that the following formulas are inconsistent:
% 173.97/27.23  ----------------------------------------------------------------
% 173.97/27.23    (1)   ~ (all_52_12 = all_14_2)
% 173.97/27.23    (2)  op(e0, e0) = all_14_2
% 173.97/27.23    (3)  all_54_8 = all_52_2
% 173.97/27.23    (4)  all_56_1 = all_52_4
% 173.97/27.23    (5)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 173.97/27.23    (6)  all_56_12 = all_52_3
% 173.97/27.23    (7)  op(e1, e3) = all_52_2
% 173.97/27.23    (8)  op(e3, all_52_12) = all_58_3
% 173.97/27.23    (9)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 173.97/27.23    (10)  op(e1, all_52_14) = all_58_11
% 173.97/27.23    (11)   ~ (all_10_2 = e0)
% 173.97/27.23    (12)   ~ (all_52_8 = all_52_12)
% 173.97/27.23    (13)   ~ (e3 = e1)
% 173.97/27.23    (14)   ~ (all_52_2 = all_6_2)
% 173.97/27.23    (15)   ~ (all_52_3 = all_14_2)
% 173.97/27.23    (16)   ~ (all_52_4 = all_4_2)
% 173.97/27.23    (17)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 173.97/27.23    (18)  all_54_3 = all_52_12
% 173.97/27.23    (19)   ~ (all_52_3 = all_52_11)
% 173.97/27.23    (20)  op(all_6_2, e3) = all_6_1
% 173.97/27.23    (21)   ~ (all_52_12 = all_6_2)
% 173.97/27.23    (22)  all_58_23 = all_4_1
% 173.97/27.23    (23)  op(e1, e0) = all_52_14
% 173.97/27.23    (24)  all_56_15 = all_14_2
% 173.97/27.23    (25)  all_54_1 = all_52_4
% 173.97/27.23    (26)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 173.97/27.23    (27)  all_56_13 = all_4_1
% 173.97/27.23    (28)  all_54_6 = all_52_9
% 173.97/27.23    (29)  all_56_14 = all_52_11
% 173.97/27.23    (30)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 173.97/27.23    (31)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 173.97/27.23    (32)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 173.97/27.23    (33)  op(e0, all_52_3) = all_58_12
% 173.97/27.23    (34)  all_56_8 = all_10_2
% 173.97/27.23    (35)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 173.97/27.23    (36)  all_58_26 = all_10_2
% 173.97/27.23    (37)   ~ (all_52_4 = all_52_6)
% 173.97/27.23    (38)  all_58_31 = all_14_2
% 173.97/27.23    (39)   ~ (all_52_11 = all_10_2)
% 173.97/27.23    (40)   ~ (all_52_9 = all_52_13)
% 173.97/27.23    (41)   ~ (all_52_3 = all_6_2)
% 173.97/27.23    (42)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 173.97/27.23    (43)   ~ (all_52_4 = e0)
% 173.97/27.23    (44)  op(all_6_1, all_6_2) = all_6_0
% 173.97/27.23    (45)   ~ (all_52_1 = all_6_2)
% 173.97/27.23    (46)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 173.97/27.23    (47)  all_54_2 = all_52_8
% 173.97/27.23    (48)  all_56_11 = all_52_14
% 173.97/27.23    (49)  op(e2, e1) = all_52_9
% 173.97/27.23    (50)   ~ (all_4_1 = e0)
% 173.97/27.23    (51)  all_56_0 = all_6_2
% 173.97/27.23    (52)   ~ (all_52_9 = all_10_2)
% 173.97/27.23    (53)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 173.97/27.23    (54)  all_58_30 = all_52_14
% 173.97/27.23    (55)  all_58_27 = all_52_11
% 173.97/27.23    (56)  all_54_14 = all_52_11
% 173.97/27.23    (57)   ~ (all_52_3 = all_4_1)
% 173.97/27.23    (58)  all_58_17 = all_52_1
% 173.97/27.23    (59)  all_58_21 = e0
% 173.97/27.23    (60)  all_58_19 = all_52_3
% 173.97/27.23    (61)  all_56_9 = all_52_12
% 173.97/27.23    (62)   ~ (all_52_2 = all_52_6)
% 173.97/27.23    (63)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 173.97/27.23    (64)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 173.97/27.23    (65)   ~ (all_52_4 = all_4_1)
% 173.97/27.23    (66)   ~ (e3 = e2)
% 173.97/27.23    (67)  op(e3, all_52_8) = all_58_2
% 173.97/27.23    (68)   ~ (e2 = e1)
% 173.97/27.23    (69)   ~ (all_52_6 = all_10_2)
% 173.97/27.23    (70)  op(e0, all_52_11) = all_58_14
% 173.97/27.23    (71)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 173.97/27.23    (72)   ~ (all_52_11 = all_4_1)
% 173.97/27.23    (73)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 173.97/27.23    (74)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 173.97/27.23    (75)   ~ (all_52_6 = all_4_1)
% 173.97/27.23    (76)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 173.97/27.23    (77)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 173.97/27.23    (78)   ~ (all_52_13 = all_52_14)
% 173.97/27.23    (79)  all_58_18 = all_52_2
% 173.97/27.23    (80)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 173.97/27.23    (81)  all_58_16 = all_6_2
% 173.97/27.23    (82)   ~ (all_52_8 = all_52_9)
% 173.97/27.23    (83)   ~ (all_52_4 = all_6_2)
% 173.97/27.23    (84)  all_56_2 = all_52_1
% 173.97/27.23    (85)  all_58_5 = all_52_13
% 173.97/27.23    (86)   ~ (e3 = e0)
% 173.97/27.23    (87)  op(e3, e0) = all_52_12
% 173.97/27.23    (88)  all_58_29 = all_52_13
% 173.97/27.23    (89)   ~ (all_40_0 = e3) |  ~ (all_40_1 = e1)
% 173.97/27.23    (90)   ~ (all_52_1 = all_52_2)
% 173.97/27.23    (91)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 173.97/27.23    (92)   ~ (all_6_2 = e0)
% 173.97/27.23    (93)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 173.97/27.23    (94)   ~ (all_52_6 = all_52_14)
% 173.97/27.23    (95)   ~ (all_52_8 = all_10_2)
% 173.97/27.23    (96)  all_56_4 = all_52_8
% 173.97/27.23    (97)  op(e1, all_52_2) = all_58_8
% 173.97/27.23    (98)   ~ (all_52_1 = all_52_13)
% 173.97/27.23    (99)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 173.97/27.23    (100)  all_58_20 = all_52_4
% 173.97/27.23    (101)  all_54_10 = all_10_2
% 173.97/27.23    (102)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 173.97/27.23    (103)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 173.97/27.23    (104)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 173.97/27.23    (105)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 173.97/27.23    (106)   ~ (all_52_8 = all_52_11)
% 173.97/27.23    (107)   ~ (all_52_8 = all_6_2)
% 173.97/27.23    (108)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 173.97/27.23    (109)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 173.97/27.23    (110)  all_56_6 = all_52_2
% 173.97/27.23    (111)   ~ (all_52_1 = all_52_9)
% 173.97/27.23    (112)  all_58_24 = all_52_8
% 173.97/27.23    (113)   ~ (all_52_12 = all_52_14)
% 173.97/27.23    (114)  all_56_3 = e0
% 173.97/27.23    (115)   ~ (all_52_9 = all_52_11)
% 173.97/27.23    (116)  all_58_22 = all_52_6
% 173.97/27.23    (117)   ~ (all_52_4 = all_52_12)
% 173.97/27.23    (118)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 173.97/27.23    (119)  all_54_0 = all_6_2
% 173.97/27.23    (120)  all_40_0 = all_4_0
% 173.97/27.23    (121)   ~ (all_52_14 = all_10_2)
% 173.97/27.23    (122)   ~ (all_52_1 = e0)
% 173.97/27.23    (123)   ~ (all_52_2 = all_52_3)
% 173.97/27.23    (124)  op(all_4_1, e0) = all_4_0
% 173.97/27.23    (125)   ~ (all_52_4 = all_52_8)
% 173.97/27.23    (126)   ~ (all_52_14 = all_14_2)
% 173.97/27.23    (127)  all_58_25 = all_52_9
% 173.97/27.23    (128)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 173.97/27.23             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 173.97/27.23    (129)   ~ (all_52_6 = e0)
% 173.97/27.23    (130)  all_54_12 = all_52_3
% 173.97/27.23    (131)   ~ (all_52_2 = all_52_14)
% 173.97/27.23    (132)  all_58_21 = all_4_2
% 173.97/27.23    (133)  all_40_1 = all_4_1
% 173.97/27.23    (134)  all_56_10 = all_52_13
% 173.97/27.23    (135)   ~ (e2 = e0)
% 173.97/27.23    (136)   ~ (all_52_1 = all_52_3)
% 173.97/27.23    (137)  all_58_28 = all_52_12
% 173.97/27.24    (138)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 173.97/27.24    (139)   ~ (e1 = e0)
% 173.97/27.24    (140)  all_54_4 = all_52_1
% 173.97/27.24    (141)  all_56_7 = all_52_6
% 173.97/27.24    (142)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 173.97/27.24             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 173.97/27.24             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 173.97/27.24             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 173.97/27.24             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 173.97/27.24             (all_58_15 = e0))
% 173.97/27.24    (143)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 173.97/27.24    (144)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 173.97/27.24    (145)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 173.97/27.24           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 173.97/27.24           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.97/27.24           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 173.97/27.24           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.97/27.24           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 173.97/27.24           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.97/27.24           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 173.97/27.24           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 173.97/27.24           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 173.97/27.24             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 173.97/27.24             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 173.97/27.24             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 173.97/27.24             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 173.97/27.24             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 173.97/27.24             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 173.97/27.24             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 173.97/27.24             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 173.97/27.24             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 173.97/27.24             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 173.97/27.24             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 173.97/27.24             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 173.97/27.24             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 173.97/27.24             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 173.97/27.24             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 173.97/27.24             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 173.97/27.24           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 173.97/27.24           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.97/27.24           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 173.97/27.24             all_58_30 = e0 & e1 = e0)
% 173.97/27.24    (146)  all_54_7 = all_52_13
% 173.97/27.24    (147)   ~ (all_52_2 = all_10_2)
% 173.97/27.24    (148)  all_54_11 = all_52_14
% 173.97/27.24    (149)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 173.97/27.24    (150)   ~ (all_52_12 = all_52_13)
% 173.97/27.24  
% 173.97/27.24  Begin of proof
% 173.97/27.24  | 
% 173.97/27.24  | BETA: splitting (102) gives:
% 173.97/27.24  | 
% 173.97/27.24  | Case 1:
% 173.97/27.24  | | 
% 173.97/27.24  | |   (151)  all_56_0 = e0
% 173.97/27.24  | | 
% 173.97/27.24  | | COMBINE_EQS: (51), (151) imply:
% 173.97/27.24  | |   (152)  all_6_2 = e0
% 173.97/27.24  | | 
% 173.97/27.24  | | REDUCE: (92), (152) imply:
% 173.97/27.24  | |   (153)  $false
% 173.97/27.24  | | 
% 173.97/27.24  | | CLOSE: (153) is inconsistent.
% 173.97/27.24  | | 
% 173.97/27.24  | Case 2:
% 173.97/27.24  | | 
% 173.97/27.24  | |   (154)   ~ (all_56_0 = e0)
% 173.97/27.24  | |   (155)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 173.97/27.24  | | 
% 173.97/27.24  | | BETA: splitting (109) gives:
% 173.97/27.24  | | 
% 173.97/27.24  | | Case 1:
% 173.97/27.24  | | | 
% 173.97/27.24  | | |   (156)  all_56_0 = e0
% 173.97/27.24  | | | 
% 173.97/27.24  | | | COMBINE_EQS: (51), (156) imply:
% 173.97/27.24  | | |   (157)  all_6_2 = e0
% 173.97/27.24  | | | 
% 173.97/27.24  | | | REDUCE: (92), (157) imply:
% 173.97/27.24  | | |   (158)  $false
% 173.97/27.24  | | | 
% 173.97/27.24  | | | CLOSE: (158) is inconsistent.
% 173.97/27.24  | | | 
% 173.97/27.24  | | Case 2:
% 173.97/27.24  | | | 
% 173.97/27.24  | | |   (159)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 173.97/27.24  | | | 
% 173.97/27.24  | | | BETA: splitting (104) gives:
% 173.97/27.24  | | | 
% 173.97/27.24  | | | Case 1:
% 173.97/27.24  | | | | 
% 173.97/27.24  | | | |   (160)  all_56_6 = e0
% 173.97/27.24  | | | | 
% 173.97/27.24  | | | | COMBINE_EQS: (110), (160) imply:
% 173.97/27.24  | | | |   (161)  all_52_2 = e0
% 173.97/27.24  | | | | 
% 173.97/27.24  | | | | COMBINE_EQS: (79), (161) imply:
% 173.97/27.24  | | | |   (162)  all_58_18 = e0
% 173.97/27.24  | | | | 
% 173.97/27.24  | | | | REDUCE: (123), (161) imply:
% 173.97/27.24  | | | |   (163)   ~ (all_52_3 = e0)
% 173.97/27.24  | | | | 
% 173.97/27.24  | | | | SIMP: (163) implies:
% 173.97/27.24  | | | |   (164)   ~ (all_52_3 = e0)
% 173.97/27.24  | | | | 
% 173.97/27.24  | | | | REDUCE: (62), (161) imply:
% 173.97/27.24  | | | |   (165)   ~ (all_52_6 = e0)
% 173.97/27.24  | | | | 
% 173.97/27.24  | | | | REDUCE: (14), (161) imply:
% 173.97/27.24  | | | |   (166)   ~ (all_6_2 = e0)
% 173.97/27.24  | | | | 
% 173.97/27.24  | | | | REDUCE: (97), (161) imply:
% 173.97/27.24  | | | |   (167)  op(e1, e0) = all_58_8
% 173.97/27.24  | | | | 
% 173.97/27.24  | | | | REF_CLOSE: (1), (2), (4), (5), (6), (8), (9), (12), (13), (15), (17),
% 173.97/27.24  | | | |            (19), (21), (22), (23), (24), (27), (28), (29), (30), (31),
% 173.97/27.24  | | | |            (32), (34), (35), (36), (38), (39), (40), (41), (42), (43),
% 173.97/27.24  | | | |            (45), (46), (47), (48), (50), (51), (54), (55), (58), (59),
% 173.97/27.24  | | | |            (60), (61), (64), (65), (66), (68), (70), (71), (72), (73),
% 173.97/27.24  | | | |            (74), (75), (77), (78), (80), (81), (83), (84), (85), (86),
% 173.97/27.24  | | | |            (87), (88), (89), (92), (94), (95), (96), (98), (99), (100),
% 173.97/27.24  | | | |            (101), (103), (105), (106), (107), (109), (111), (112),
% 173.97/27.24  | | | |            (113), (114), (115), (116), (117), (119), (120), (121),
% 173.97/27.24  | | | |            (122), (124), (125), (126), (127), (128), (129), (130),
% 173.97/27.24  | | | |            (133), (134), (135), (136), (137), (138), (139), (141),
% 173.97/27.24  | | | |            (142), (143), (144), (145), (146), (148), (150), (160),
% 173.97/27.24  | | | |            (162), (164), (167) are inconsistent by sub-proof #537.
% 173.97/27.24  | | | | 
% 173.97/27.24  | | | Case 2:
% 173.97/27.24  | | | | 
% 173.97/27.24  | | | |   (168)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 173.97/27.24  | | | | 
% 173.97/27.24  | | | | BETA: splitting (168) gives:
% 173.97/27.24  | | | | 
% 173.97/27.24  | | | | Case 1:
% 173.97/27.24  | | | | | 
% 173.97/27.24  | | | | |   (169)  all_56_7 = e0
% 173.97/27.24  | | | | | 
% 173.97/27.24  | | | | | COMBINE_EQS: (141), (169) imply:
% 173.97/27.24  | | | | |   (170)  all_52_6 = e0
% 173.97/27.24  | | | | | 
% 173.97/27.24  | | | | | REDUCE: (129), (170) imply:
% 173.97/27.24  | | | | |   (171)  $false
% 173.97/27.24  | | | | | 
% 173.97/27.24  | | | | | CLOSE: (171) is inconsistent.
% 173.97/27.24  | | | | | 
% 173.97/27.24  | | | | Case 2:
% 173.97/27.24  | | | | | 
% 173.97/27.24  | | | | |   (172)  all_56_8 = e0 | all_56_11 = e0
% 173.97/27.24  | | | | | 
% 173.97/27.24  | | | | | BETA: splitting (155) gives:
% 173.97/27.24  | | | | | 
% 173.97/27.24  | | | | | Case 1:
% 173.97/27.24  | | | | | | 
% 173.97/27.24  | | | | | |   (173)  all_56_2 = e0
% 173.97/27.24  | | | | | | 
% 173.97/27.24  | | | | | | COMBINE_EQS: (84), (173) imply:
% 173.97/27.24  | | | | | |   (174)  all_52_1 = e0
% 173.97/27.24  | | | | | | 
% 173.97/27.24  | | | | | | REDUCE: (122), (174) imply:
% 173.97/27.24  | | | | | |   (175)  $false
% 173.97/27.24  | | | | | | 
% 173.97/27.24  | | | | | | CLOSE: (175) is inconsistent.
% 173.97/27.24  | | | | | | 
% 173.97/27.24  | | | | | Case 2:
% 173.97/27.24  | | | | | | 
% 173.97/27.24  | | | | | |   (176)  all_56_6 = e0 | all_56_12 = e0
% 173.97/27.24  | | | | | | 
% 173.97/27.24  | | | | | | BETA: splitting (172) gives:
% 173.97/27.24  | | | | | | 
% 173.97/27.24  | | | | | | Case 1:
% 173.97/27.24  | | | | | | | 
% 173.97/27.24  | | | | | | |   (177)  all_56_8 = e0
% 173.97/27.24  | | | | | | | 
% 173.97/27.24  | | | | | | | COMBINE_EQS: (34), (177) imply:
% 173.97/27.24  | | | | | | |   (178)  all_10_2 = e0
% 173.97/27.24  | | | | | | | 
% 173.97/27.24  | | | | | | | REDUCE: (11), (178) imply:
% 173.97/27.24  | | | | | | |   (179)  $false
% 173.97/27.24  | | | | | | | 
% 173.97/27.24  | | | | | | | CLOSE: (179) is inconsistent.
% 173.97/27.24  | | | | | | | 
% 173.97/27.24  | | | | | | Case 2:
% 173.97/27.24  | | | | | | | 
% 173.97/27.24  | | | | | | |   (180)  all_56_11 = e0
% 173.97/27.24  | | | | | | | 
% 173.97/27.24  | | | | | | | COMBINE_EQS: (48), (180) imply:
% 173.97/27.24  | | | | | | |   (181)  all_52_14 = e0
% 173.97/27.24  | | | | | | | 
% 173.97/27.24  | | | | | | | SIMP: (181) implies:
% 173.97/27.24  | | | | | | |   (182)  all_52_14 = e0
% 173.97/27.24  | | | | | | | 
% 173.97/27.24  | | | | | | | COMBINE_EQS: (54), (182) imply:
% 173.97/27.24  | | | | | | |   (183)  all_58_30 = e0
% 173.97/27.24  | | | | | | | 
% 173.97/27.24  | | | | | | | REDUCE: (131), (182) imply:
% 173.97/27.24  | | | | | | |   (184)   ~ (all_52_2 = e0)
% 173.97/27.24  | | | | | | | 
% 173.97/27.24  | | | | | | | REDUCE: (113), (182) imply:
% 173.97/27.24  | | | | | | |   (185)   ~ (all_52_12 = e0)
% 173.97/27.24  | | | | | | | 
% 173.97/27.24  | | | | | | | REDUCE: (78), (182) imply:
% 173.97/27.24  | | | | | | |   (186)   ~ (all_52_13 = e0)
% 173.97/27.24  | | | | | | | 
% 173.97/27.24  | | | | | | | REDUCE: (10), (182) imply:
% 173.97/27.24  | | | | | | |   (187)  op(e1, e0) = all_58_11
% 173.97/27.24  | | | | | | | 
% 173.97/27.24  | | | | | | | REDUCE: (23), (182) imply:
% 173.97/27.24  | | | | | | |   (188)  op(e1, e0) = e0
% 173.97/27.24  | | | | | | | 
% 173.97/27.24  | | | | | | | BETA: splitting (159) gives:
% 173.97/27.24  | | | | | | | 
% 173.97/27.24  | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | 
% 173.97/27.24  | | | | | | | |   (189)  all_56_1 = e0
% 173.97/27.24  | | | | | | | | 
% 173.97/27.24  | | | | | | | | COMBINE_EQS: (4), (189) imply:
% 173.97/27.24  | | | | | | | |   (190)  all_52_4 = e0
% 173.97/27.24  | | | | | | | | 
% 173.97/27.24  | | | | | | | | REDUCE: (43), (190) imply:
% 173.97/27.24  | | | | | | | |   (191)  $false
% 173.97/27.24  | | | | | | | | 
% 173.97/27.24  | | | | | | | | CLOSE: (191) is inconsistent.
% 173.97/27.24  | | | | | | | | 
% 173.97/27.24  | | | | | | | Case 2:
% 173.97/27.24  | | | | | | | | 
% 173.97/27.24  | | | | | | | |   (192)  all_56_4 = e0 | all_56_9 = e0
% 173.97/27.24  | | | | | | | | 
% 173.97/27.24  | | | | | | | | BETA: splitting (192) gives:
% 173.97/27.24  | | | | | | | | 
% 173.97/27.24  | | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | | 
% 173.97/27.24  | | | | | | | | |   (193)  all_56_4 = e0
% 173.97/27.24  | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | COMBINE_EQS: (96), (193) imply:
% 173.97/27.24  | | | | | | | | |   (194)  all_52_8 = e0
% 173.97/27.24  | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | COMBINE_EQS: (112), (194) imply:
% 173.97/27.24  | | | | | | | | |   (195)  all_58_24 = e0
% 173.97/27.24  | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | REDUCE: (82), (194) imply:
% 173.97/27.24  | | | | | | | | |   (196)   ~ (all_52_9 = e0)
% 173.97/27.24  | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | SIMP: (196) implies:
% 173.97/27.24  | | | | | | | | |   (197)   ~ (all_52_9 = e0)
% 173.97/27.24  | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | REDUCE: (12), (194) imply:
% 173.97/27.24  | | | | | | | | |   (198)   ~ (all_52_12 = e0)
% 173.97/27.24  | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | REDUCE: (95), (194) imply:
% 173.97/27.24  | | | | | | | | |   (199)   ~ (all_10_2 = e0)
% 173.97/27.24  | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | REDUCE: (67), (194) imply:
% 173.97/27.24  | | | | | | | | |   (200)  op(e3, e0) = all_58_2
% 173.97/27.24  | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | BETA: splitting (5) gives:
% 173.97/27.24  | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | |   (201)  all_56_12 = e0
% 173.97/27.24  | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | COMBINE_EQS: (6), (201) imply:
% 173.97/27.24  | | | | | | | | | |   (202)  all_52_3 = e0
% 173.97/27.24  | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | SIMP: (202) implies:
% 173.97/27.24  | | | | | | | | | |   (203)  all_52_3 = e0
% 173.97/27.24  | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | COMBINE_EQS: (60), (203) imply:
% 173.97/27.24  | | | | | | | | | |   (204)  all_58_19 = e0
% 173.97/27.24  | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | REDUCE: (19), (203) imply:
% 173.97/27.24  | | | | | | | | | |   (205)   ~ (all_52_11 = e0)
% 173.97/27.24  | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | SIMP: (205) implies:
% 173.97/27.24  | | | | | | | | | |   (206)   ~ (all_52_11 = e0)
% 173.97/27.24  | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | REDUCE: (15), (203) imply:
% 173.97/27.24  | | | | | | | | | |   (207)   ~ (all_14_2 = e0)
% 173.97/27.24  | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | SIMP: (207) implies:
% 173.97/27.24  | | | | | | | | | |   (208)   ~ (all_14_2 = e0)
% 173.97/27.24  | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | REDUCE: (41), (203) imply:
% 173.97/27.24  | | | | | | | | | |   (209)   ~ (all_6_2 = e0)
% 173.97/27.24  | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | REDUCE: (57), (203) imply:
% 173.97/27.24  | | | | | | | | | |   (210)   ~ (all_4_1 = e0)
% 173.97/27.24  | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | REDUCE: (33), (203) imply:
% 173.97/27.24  | | | | | | | | | |   (211)  op(e0, e0) = all_58_12
% 173.97/27.24  | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | GROUND_INST: instantiating (128) with all_14_2, all_58_12, e0,
% 173.97/27.24  | | | | | | | | | |              e0, simplifying with (2), (211) gives:
% 173.97/27.24  | | | | | | | | | |   (212)  all_58_12 = all_14_2
% 173.97/27.24  | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | GROUND_INST: instantiating (128) with e0, all_58_11, e0, e1,
% 173.97/27.24  | | | | | | | | | |              simplifying with (187), (188) gives:
% 173.97/27.24  | | | | | | | | | |   (213)  all_58_11 = e0
% 173.97/27.24  | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | GROUND_INST: instantiating (128) with all_52_12, all_58_2, e0,
% 173.97/27.24  | | | | | | | | | |              e3, simplifying with (87), (200) gives:
% 173.97/27.24  | | | | | | | | | |   (214)  all_58_2 = all_52_12
% 173.97/27.24  | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | BETA: splitting (73) gives:
% 173.97/27.24  | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | |   (215)  all_54_7 = e0
% 173.97/27.24  | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | COMBINE_EQS: (146), (215) imply:
% 173.97/27.24  | | | | | | | | | | |   (216)  all_52_13 = e0
% 173.97/27.24  | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | REDUCE: (186), (216) imply:
% 173.97/27.24  | | | | | | | | | | |   (217)  $false
% 173.97/27.24  | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | CLOSE: (217) is inconsistent.
% 173.97/27.24  | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | Case 2:
% 173.97/27.24  | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | |   (218)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 173.97/27.24  | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | BETA: splitting (108) gives:
% 173.97/27.24  | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | |   (219)  all_54_4 = e0
% 173.97/27.24  | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | REF_CLOSE: (122), (140), (219) are inconsistent by sub-proof
% 173.97/27.24  | | | | | | | | | | | |            #902.
% 173.97/27.24  | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | Case 2:
% 173.97/27.24  | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | |   (220)   ~ (all_54_4 = e0)
% 173.97/27.24  | | | | | | | | | | | |   (221)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 173.97/27.24  | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | BETA: splitting (76) gives:
% 173.97/27.24  | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | |   (222)  all_54_1 = e0
% 173.97/27.24  | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | REF_CLOSE: (25), (43), (222) are inconsistent by sub-proof
% 173.97/27.24  | | | | | | | | | | | | |            #866.
% 173.97/27.24  | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | Case 2:
% 173.97/27.24  | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | |   (223)   ~ (all_54_1 = e0)
% 173.97/27.24  | | | | | | | | | | | | |   (224)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 173.97/27.24  | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | BETA: splitting (9) gives:
% 173.97/27.24  | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | |   (225)  all_54_0 = e0
% 173.97/27.24  | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | REF_CLOSE: (92), (119), (225) are inconsistent by sub-proof
% 173.97/27.24  | | | | | | | | | | | | | |            #984.
% 173.97/27.24  | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | Case 2:
% 173.97/27.24  | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | |   (226)   ~ (all_54_0 = e0)
% 173.97/27.24  | | | | | | | | | | | | | |   (227)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 173.97/27.24  | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | BETA: splitting (93) gives:
% 173.97/27.24  | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | |   (228)  all_54_8 = e0
% 173.97/27.24  | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | COMBINE_EQS: (3), (228) imply:
% 173.97/27.24  | | | | | | | | | | | | | | |   (229)  all_52_2 = e0
% 173.97/27.24  | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | REDUCE: (184), (229) imply:
% 173.97/27.24  | | | | | | | | | | | | | | |   (230)  $false
% 173.97/27.24  | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | CLOSE: (230) is inconsistent.
% 173.97/27.24  | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | Case 2:
% 173.97/27.24  | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | |   (231)   ~ (all_54_8 = e0)
% 173.97/27.24  | | | | | | | | | | | | | | |   (232)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | BETA: splitting (63) gives:
% 173.97/27.24  | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | |   (233)  all_54_14 = e0
% 173.97/27.24  | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | COMBINE_EQS: (56), (233) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | |   (234)  all_52_11 = e0
% 173.97/27.24  | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | REDUCE: (206), (234) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | |   (235)  $false
% 173.97/27.24  | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | CLOSE: (235) is inconsistent.
% 173.97/27.24  | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | Case 2:
% 173.97/27.24  | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | |   (236)   ~ (all_54_14 = e0)
% 173.97/27.24  | | | | | | | | | | | | | | | |   (237)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | BETA: splitting (26) gives:
% 173.97/27.24  | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | |   (238)  all_54_3 = e0
% 173.97/27.24  | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (185), (238) are inconsistent by sub-proof
% 173.97/27.24  | | | | | | | | | | | | | | | | |            #898.
% 173.97/27.24  | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.24  | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | |   (239)   ~ (all_54_3 = e0)
% 173.97/27.24  | | | | | | | | | | | | | | | | |   (240)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | BETA: splitting (35) gives:
% 173.97/27.24  | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | |   (241)  all_58_31 = e0
% 173.97/27.24  | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (38), (241) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | |   (242)  all_14_2 = e0
% 173.97/27.24  | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | REDUCE: (208), (242) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | |   (243)  $false
% 173.97/27.24  | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | CLOSE: (243) is inconsistent.
% 173.97/27.24  | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | |   (244)   ~ (all_58_31 = e0)
% 173.97/27.24  | | | | | | | | | | | | | | | | | |   (245)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | BETA: splitting (105) gives:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | |   (246)  all_58_23 = e0
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22), (246) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | |   (247)  all_4_1 = e0
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | REDUCE: (50), (247) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | |   (248)  $false
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | CLOSE: (248) is inconsistent.
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | |   (249)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | BETA: splitting (53) gives:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | |   (250)  all_58_27 = e0
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (55), (250) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | |   (251)  all_52_11 = e0
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | REDUCE: (206), (251) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | |   (252)  $false
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | CLOSE: (252) is inconsistent.
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | |   (253)   ~ (all_58_27 = e0)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | |   (254)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | |   (255)  all_56_2 = e3
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (84), (255) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | |   (256)  all_52_1 = e3
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (58), (256) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | |   (257)  all_58_17 = e3
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (256) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | |   (258)   ~ (all_52_2 = e3)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | SIMP: (258) implies:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | |   (259)   ~ (all_52_2 = e3)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (42) gives:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | |   (260)  all_56_6 = e3
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (110), (259), (260) are inconsistent by sub-proof
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | |            #766.
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | |   (261)   ~ (all_56_6 = e3)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | |   (262)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (74) gives:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | |   (263)  all_56_0 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (51), (263) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | |   (264)  all_6_2 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (81), (264) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | |   (265)  all_58_16 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (264) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | |   (266)   ~ (all_52_2 = e1)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (264) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | |   (267)   ~ (all_52_4 = e1)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (264) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | |   (268)   ~ (all_52_12 = e1)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (264) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | |   (269)  op(all_6_1, e1) = all_6_0
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (264) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | |   (270)  op(e1, e3) = all_6_1
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (80) gives:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | |   (271)  all_56_0 = e2
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (68), (263), (271) are inconsistent by sub-proof
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | |            #785.
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | |   (272)  all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  all_56_2 = e2
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (273) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  e3 = e2
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (274) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (275)  $false
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (275) is inconsistent.
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (276)   ~ (all_56_2 = e2)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (277)  all_56_6 = e2 | all_56_12 = e2
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  all_54_8 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (266), (278) are inconsistent by sub-proof
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            #671.
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  all_54_8 = e3 | all_54_8 = e2
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (279) gives:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  all_54_8 = e2
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3), (280) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  all_52_2 = e2
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (281) implies:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  all_52_2 = e2
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (79), (282) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  all_58_18 = e2
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (282) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)   ~ (all_10_2 = e2)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (284) implies:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)   ~ (all_10_2 = e2)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (259), (282) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)   ~ (e3 = e2)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (282) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  op(e1, e3) = e2
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (128) with e2, all_6_1, e3, e1,
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (270), (287) gives:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  all_6_1 = e2
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (269), (288) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  op(e2, e1) = all_6_0
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (128) with all_52_9, all_6_0, e1,
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, simplifying with (49), (289) gives:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  all_52_9 = all_6_0
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (127), (290) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  all_58_25 = all_6_0
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (115), (290) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)   ~ (all_52_11 = all_6_0)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (292) implies:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)   ~ (all_52_11 = all_6_0)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (290) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)   ~ (all_52_13 = all_6_0)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (294) implies:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)   ~ (all_52_13 = all_6_0)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (290) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)   ~ (all_10_2 = all_6_0)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (296) implies:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)   ~ (all_10_2 = all_6_0)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (197), (290) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)   ~ (all_6_0 = e0)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (71) gives:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  all_56_9 = e3
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (61), (299) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  all_52_12 = e3
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (300) implies:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  all_52_12 = e3
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (137), (301) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  all_58_28 = e3
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (214), (301) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  all_58_2 = e3
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (301) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)   ~ (all_52_4 = e3)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (301) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)   ~ (all_52_13 = e3)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (305) implies:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)   ~ (all_52_13 = e3)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  all_58_22 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (116), (307) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  all_52_6 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (141), (308) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  all_56_7 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (308) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)   ~ (all_10_2 = e1)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (310) implies:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)   ~ (all_10_2 = e1)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  all_56_7 = e3
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (312) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  e3 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (24), (66), (71), (85), (86), (88), (134),
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (139), (142), (180), (183), (212), (213), (245),
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (299), (302), (303), (313) are inconsistent by
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #531.
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  all_56_8 = e3 | all_56_11 = e3
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (314) gives:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  all_56_8 = e3
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (34), (315) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  all_10_2 = e3
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (316) implies:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  all_10_2 = e3
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (36), (317) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  all_58_26 = e3
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (317) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)   ~ (all_52_11 = e3)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (297), (317) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)   ~ (all_6_0 = e3)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (320) implies:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)   ~ (all_6_0 = e3)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (145) gives:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  all_58_31 = e0
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (38), (322) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  all_14_2 = e0
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (208), (323) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  $false
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (324) is inconsistent.
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 |
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  all_58_26 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (318), (326) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  e3 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (24), (66), (71), (85), (86), (88), (134),
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (139), (142), (180), (183), (212), (213), (245),
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (299), (302), (303), (327) are inconsistent by
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #531.
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  all_58_24 = e3 | all_58_25 = e2
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  all_58_25 = e2
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (291), (329) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  all_6_0 = e2
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (293), (330) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)   ~ (all_52_11 = e2)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (295), (330) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)   ~ (all_52_13 = e2)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  all_54_7 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (146), (333) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  all_52_13 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (334) implies:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  all_52_13 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (88), (335) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  all_58_29 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  all_54_14 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (56), (337) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  all_52_11 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (338) implies:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  all_52_11 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (55), (339) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  all_58_27 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (319), (339) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)   ~ (e3 = e1)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (331), (339) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)   ~ (e2 = e1)
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  all_58_26 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (318), (343) imply:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  e3 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (344) implies:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  e3 = e1
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (24), (66), (71), (85), (86), (88), (134),
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (139), (142), (180), (183), (212), (213), (245),
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (299), (302), (303), (345) are inconsistent by
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #531.
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (346)   ~ (all_58_26 = e1)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_18 = e1 & all_58_20 = e3 & all_58_24 =
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_20 = e3 & all_58_28 = e0) | (all_58_17 =
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_17 = e3 & all_58_20 = e3 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_23 = e2 & all_58_29 = e2) | (all_58_17 =
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3) | (all_58_17 = e2 & all_58_19 = e3 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_20 = e2 & all_58_28 = e3) | (all_58_17 =
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_23 = e0 & all_58_29 = e0) | (all_58_17 =
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_19 = e0 & all_58_24 = e3 & all_58_28 =
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_24 = e3 & all_58_25 = e1) | (all_58_18 =
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_24 = e1 & all_58_28 = e3) | (all_58_18 =
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_18 =
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_28 = e3 & all_58_29 =
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 =
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 =
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_25 = e2 & all_58_29 =
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_22 = e2 & all_58_25 = e2 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e1 & all_58_30 = e1) | (all_58_22 =
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_22 = e1 & all_58_25 = e1 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_22 =
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_27 = e0 & all_58_29 = e2 & all_58_30 =
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_23 = e0 & all_58_27 = e1 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_29 = e0 & all_58_30 = e1) | (all_58_23 =
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0 & e1 = e0)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (347) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  all_58_21 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (59), (348) imply:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  e2 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (349) imply:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  $false
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (350) is inconsistent.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  all_58_16 = e3 | (all_58_17 = e3 & all_58_18 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_20 = e3 & all_58_24 = e1) | (all_58_17
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0) | (all_58_17 = e3 & all_58_20 =
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_22 = e2 & all_58_25 = e2) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_18 = e1 & all_58_24
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 =
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e3 & all_58_29 = e0) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_19 = e0 & all_58_23
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_19 = e0 & all_58_28
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e3 = e0) | (all_58_22 = e2 & all_58_23 =
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_25 = e2 & all_58_29 = e0) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (351) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (352)  all_58_16 = e3
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (352) imply:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (353)  e3 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (353) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (354)  e3 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (24), (66), (71), (85), (86), (88), (134),
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (139), (142), (180), (183), (212), (213), (245),
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (299), (302), (303), (354) are inconsistent by
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #531.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (355)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (355) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (356)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (356) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (357)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (357) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (358)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (358) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (359)  all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (359) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  all_58_24 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (25), (100), (132), (139), (195), (224),
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (249), (267), (304), (307), (360) are inconsistent
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #530.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (361)  (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_17 = e3 & all_58_20
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_22 = e2 & all_58_25 = e2)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (362)  all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (362) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  all_58_28 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (54), (78), (86), (88), (146), (218), (245),
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (306), (332), (363) are inconsistent by sub-proof
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #529.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (364) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (365)  all_58_22 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (365) imply:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (366)  e2 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (366) imply:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (367)  all_58_25 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (68), (86), (195), (328), (367) are inconsistent
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #789.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (368)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (368) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (369)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (370)  all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (370) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (371)  all_58_29 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (371) imply:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (372)  e2 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (372) imply:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (373)  all_58_25 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (68), (86), (195), (328), (373) are inconsistent
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #789.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (374)  all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e3
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (374) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (375)  all_58_24 = e3
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (376)  all_58_18 = e3
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (376) imply:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (377)  e3 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (195), (375) imply:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (378)  e3 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (378) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (379)  e3 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (54), (78), (86), (88), (146), (218), (245),
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (302), (306), (332), (377), (379) are inconsistent
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #528.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (380)  (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (381)  all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (381) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (382)  all_58_19 = e3
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (383)  all_58_17 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (383) imply:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (384)  e3 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (384) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (385)  e3 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (204), (382) imply:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (386)  e3 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (54), (78), (86), (88), (146), (218), (245),
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (302), (306), (332), (385), (386) are inconsistent
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #528.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (387)  all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (387) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (388)  all_58_25 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (68), (86), (195), (328), (388) are inconsistent
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #789.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (389)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (389) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (390)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (390) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (391)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (391) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (392)  all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (392) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (393)  all_58_29 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (25), (100), (132), (139), (224), (249),
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (267), (304), (307), (336), (393) are inconsistent
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #527.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (394)  all_58_17 = e2 & all_58_20 = e2 & e3 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (394) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (395)  all_58_17 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (395) imply:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (396)  e3 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (396) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (397)  e3 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (302), (397) imply:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (398)  all_58_28 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (66), (88), (139), (183), (245), (332), (398) are
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #756.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (399)  (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (399) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (400)  all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (400) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (401)  all_58_28 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (54), (78), (86), (88), (146), (218), (245),
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (306), (332), (401) are inconsistent by sub-proof
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #529.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (402)  all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (402) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (403)  all_58_25 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (68), (86), (195), (328), (403) are inconsistent
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #789.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (404)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (404) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (405)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (405) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (406)  all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (406) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (407)  all_58_30 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (183), (407) imply:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (408)  e1 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (408) imply:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (409)  all_58_22 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (25), (100), (132), (139), (224), (249),
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (267), (304), (409) are inconsistent by sub-proof
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #606.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (410)  all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (410) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (411)  all_58_24 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (25), (100), (132), (139), (195), (224),
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (249), (267), (304), (307), (411) are inconsistent
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #530.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (412)  (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (412) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (413)  all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (413) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (414)  all_58_24 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (415)  all_58_22 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (415) imply:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (416)  e2 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (195), (414) imply:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (417)  e1 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (25), (100), (132), (139), (224), (249),
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (267), (304), (415), (416), (417) are inconsistent
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #526.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (418)  all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (418) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (419)  all_58_27 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (340), (419) imply:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (420)  e1 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (420) imply:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (421)  all_58_22 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (25), (100), (132), (139), (224), (249),
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (267), (304), (421) are inconsistent by sub-proof
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #606.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (422)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (422) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (423)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (423) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (424)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (424) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (425)  all_58_18 = e1 & all_58_24 = e1 & e3 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (425) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (426)  all_58_24 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (25), (100), (132), (139), (195), (224),
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (249), (267), (304), (307), (426) are inconsistent
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #530.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (427)  (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (427) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (428)  all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (428) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (429)  all_58_29 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (25), (100), (132), (139), (224), (249),
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (267), (304), (307), (336), (429) are inconsistent
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #527.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (430)  all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (430) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (431)  all_58_27 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (25), (100), (132), (139), (224), (249),
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (267), (304), (307), (340), (431) are inconsistent
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #525.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (432)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (432) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (433)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (433) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (434)  all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (434) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (435)  all_58_28 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (54), (78), (86), (88), (146), (218), (245),
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (306), (332), (435) are inconsistent by sub-proof
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #529.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (436)  all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (436) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (437)  all_58_28 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (54), (78), (86), (88), (146), (218), (245),
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (306), (332), (437) are inconsistent by sub-proof
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #529.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (438)  (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (438) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (439)  all_58_19 = e0 & all_58_28 = e0 & e3 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (439) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (440)  all_58_28 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (54), (78), (86), (88), (146), (218), (245),
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (306), (332), (440) are inconsistent by sub-proof
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #529.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (441)  all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (441) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (442)  all_58_29 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (443)  all_58_22 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (443) imply:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (444)  e2 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (442) imply:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (445)  e1 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (25), (100), (132), (139), (224), (249),
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (267), (304), (443), (444), (445) are inconsistent
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #526.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (446)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (446) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (447)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (447) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (448)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (448) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (449)  all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (449) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (450)  all_58_30 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (451)  all_58_22 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (451) imply:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (452)  e2 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (183), (450) imply:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (453)  e1 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (453) imply:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (454)  e2 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (451), (454) imply:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (455)  all_58_22 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (25), (100), (132), (139), (224), (249),
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (267), (304), (455) are inconsistent by sub-proof
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #606.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (456)  all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (456) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (457)  all_58_25 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (68), (86), (195), (328), (457) are inconsistent
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #789.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (458)  (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (68), (86), (195), (328), (458) are inconsistent
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #774.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (459)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (459) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (460)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (460) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (461)  all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (461) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (462)  all_58_27 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (25), (100), (132), (139), (224), (249),
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (267), (304), (307), (340), (462) are inconsistent
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #525.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (463)  all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (463) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (464)  all_58_30 = e1
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (183), (464) imply:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (465)  e1 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (465) imply:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (466)  all_58_22 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (25), (100), (132), (139), (224), (249),
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (267), (304), (466) are inconsistent by sub-proof
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #606.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (467)  (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (467) gives:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (468)  all_58_23 = e0 & all_58_29 = e0 & e2 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (468) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (469)  all_58_29 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (25), (100), (132), (139), (224), (249),
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (267), (304), (307), (336), (469) are inconsistent
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #527.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (470)  all_58_27 = e0 & all_58_30 = e0 & e1 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (470) implies:
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (471)  all_58_27 = e0
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (25), (100), (132), (139), (224), (249),
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (267), (304), (307), (340), (471) are inconsistent
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #525.
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (472)  all_54_14 = e3 | all_54_14 = e2
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (319), (331), (472) are inconsistent by
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #772.
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (473)  all_54_7 = e3 | all_54_7 = e2
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (306), (332), (473) are inconsistent by
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #709.
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (474)  all_58_24 = e3
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (86), (195), (474) are inconsistent by sub-proof
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #926.
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (475)  all_56_11 = e3
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (180), (475) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (476)  e3 = e0
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (86), (476) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (477)  $false
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (477) is inconsistent.
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (478)  all_58_20 = e3 | all_58_21 = e2
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (25), (100), (132), (224), (267), (304),
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (478) are inconsistent by sub-proof #688.
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (479)   ~ (all_56_9 = e3)
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (479) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (480)   ~ (all_52_12 = e3)
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (88), (137), (139), (150), (183), (240),
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (245), (268), (480) are inconsistent by sub-proof
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #755.
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (481)  all_54_8 = e3
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3), (481) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (482)  all_52_2 = e3
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (482) implies:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (483)  all_52_2 = e3
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (110), (483) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (484)  all_56_6 = e3
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (66), (135), (201), (277), (484) are inconsistent
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #791.
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | |   (485)   ~ (all_56_0 = e1)
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (485) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | |   (486)   ~ (all_6_2 = e1)
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13), (24), (37), (51), (59), (61), (66),
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | |            (71), (77), (85), (86), (88), (100), (116), (118),
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | |            (134), (135), (137), (139), (142), (180), (183),
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | |            (185), (193), (212), (213), (214), (245), (249),
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | |            (486) are inconsistent by sub-proof #524.
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | End of split
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | |   (487)   ~ (all_56_2 = e3)
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (487) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | |   (488)   ~ (all_52_1 = e3)
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | |   (489)  all_56_0 = e3
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (51), (489) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | |   (490)  all_6_2 = e3
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (490) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | |   (491)   ~ (all_52_12 = e3)
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (18), (24), (61), (66), (71), (77), (85),
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | |            (86), (88), (134), (137), (139), (142), (150),
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | |            (180), (183), (212), (213), (214), (240), (245),
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | |            (491) are inconsistent by sub-proof #523.
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | |   (492)  all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (492) gives:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | |   (493)  all_56_2 = e3
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (84), (493) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | |   (494)  all_52_1 = e3
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (488), (494) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | |   (495)  $false
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (495) is inconsistent.
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | |   (496)  all_56_6 = e3 | all_56_12 = e3
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (496) gives:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | |   (497)  all_56_6 = e3
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (110), (497) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | |   (498)  all_52_2 = e3
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (498) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | |   (499)   ~ (all_10_2 = e3)
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (499) implies:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | |   (500)   ~ (all_10_2 = e3)
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (498) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | |   (501)   ~ (all_6_2 = e3)
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (501) implies:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | |   (502)   ~ (all_6_2 = e3)
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | |   (503)  all_56_6 = e2
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (66), (497), (503) are inconsistent by sub-proof
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | |            #792.
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | |   (504)   ~ (all_56_6 = e2)
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | |   (505)  all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (80) gives:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | |   (506)  all_56_0 = e2
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (51), (506) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | |   (507)  all_6_2 = e2
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (507) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | |   (508)   ~ (all_52_1 = e2)
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (509)  all_54_4 = e1
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (140), (509) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (510)  all_52_1 = e1
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (510) implies:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (511)  all_52_1 = e1
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (98), (511) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (512)   ~ (all_52_13 = e1)
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (512) implies:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (513)   ~ (all_52_13 = e1)
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (508), (511) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (514)   ~ (e2 = e1)
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (145) gives:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (515)  all_58_31 = e0
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (38), (515) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (516)  all_14_2 = e0
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (208), (516) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (517)  $false
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (517) is inconsistent.
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (518)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 |
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (518) gives:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (519)  all_58_26 = e1
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (36), (519) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (520)  all_10_2 = e1
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (34), (520) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (521)  all_56_8 = e1
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (520) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (522)   ~ (all_52_6 = e1)
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (500), (520) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (523)   ~ (e3 = e1)
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (505) gives:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (524)  all_56_7 = e2
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (141), (524) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (525)  all_52_6 = e2
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (116), (525) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (526)  all_58_22 = e2
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (525) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (527)   ~ (all_52_4 = e2)
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (528)  all_58_22 = e1
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (526), (528) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (529)  e2 = e1
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (529) imply:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (530)  $false
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (530) is inconsistent.
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (531)  all_58_20 = e3 | all_58_21 = e2
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (531) gives:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.97/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (532)  all_58_21 = e2
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (135), (532) are inconsistent by sub-proof
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #721.
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (533)  all_58_20 = e3
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (100), (533) imply:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (534)  all_52_4 = e3
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (534) imply:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (535)   ~ (all_52_12 = e3)
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (535) implies:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (536)   ~ (all_52_12 = e3)
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (18), (24), (61), (66), (71), (77), (85),
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (86), (88), (134), (137), (139), (142), (150),
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (180), (183), (212), (213), (214), (240), (245),
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (536) are inconsistent by sub-proof #523.
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (537)  all_56_8 = e2 | all_56_11 = e2
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (68), (135), (180), (521), (537) are inconsistent
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #759.
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (538)   ~ (all_58_26 = e1)
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (538) imply:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (539)   ~ (all_10_2 = e1)
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (540)  all_58_26 = e1
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (36), (540) imply:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (541)  all_10_2 = e1
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (539), (541) imply:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (542)  $false
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (542) is inconsistent.
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (543)  all_58_24 = e3 | all_58_25 = e2
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (543) gives:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (544)  all_58_25 = e2
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (127), (544) imply:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (545)  all_52_9 = e2
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (545) implies:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (546)  all_52_9 = e2
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (546) imply:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (547)   ~ (all_52_13 = e2)
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (547) implies:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (548)   ~ (all_52_13 = e2)
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (549)  all_58_30 = e1
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (139), (183), (549) are inconsistent by sub-proof
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #838.
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (550)  all_58_28 = e3 | all_58_29 = e2
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (551)  all_54_7 = e1
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (513), (551) are inconsistent by sub-proof
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #712.
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (552)  all_54_7 = e3 | all_54_7 = e2
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (550) gives:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (553)  all_58_29 = e2
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (88), (553) imply:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (554)  all_52_13 = e2
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (554) imply:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (555)  $false
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (555) is inconsistent.
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (556)  all_58_28 = e3
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (557)   ~ (all_58_29 = e2)
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (137), (556) imply:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (558)  all_52_12 = e3
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (558) imply:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (559)   ~ (all_52_13 = e3)
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (559) implies:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (560)   ~ (all_52_13 = e3)
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (548), (552), (560) are inconsistent by
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #522.
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (561)  all_58_24 = e3
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (86), (195), (561) are inconsistent by sub-proof
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #926.
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (562)  all_54_4 = e3 | all_54_4 = e2
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (140), (488), (508), (562) are inconsistent by
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #880.
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | |   (563)   ~ (all_56_0 = e2)
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | |   (564)  all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (563) imply:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | |   (565)   ~ (all_6_2 = e2)
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (566)  all_54_0 = e1
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (119), (566) imply:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (567)  all_6_2 = e1
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (567) implies:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (568)  all_6_2 = e1
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (568) imply:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (569)   ~ (all_52_4 = e1)
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (564) gives:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (570)  all_56_2 = e2
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (84), (570) imply:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (571)  all_52_1 = e2
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (571) imply:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (572)   ~ (all_52_9 = e2)
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (572) implies:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (573)   ~ (all_52_9 = e2)
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (98), (571) imply:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (574)   ~ (all_52_13 = e2)
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (574) implies:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (575)   ~ (all_52_13 = e2)
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (576)  all_58_30 = e1
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (139), (183), (576) are inconsistent by sub-proof
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #838.
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (577)  all_58_28 = e3 | all_58_29 = e2
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (577) gives:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (578)  all_58_29 = e2
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (88), (578) imply:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (579)  all_52_13 = e2
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (579) imply:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (580)  $false
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (580) is inconsistent.
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (581)  all_58_28 = e3
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (137), (581) imply:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (582)  all_52_12 = e3
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (582) imply:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (583)   ~ (all_52_4 = e3)
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (584)  all_58_22 = e1
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (116), (584) imply:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (585)  all_52_6 = e1
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (585) imply:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (586)   ~ (all_10_2 = e1)
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (586) implies:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (587)   ~ (all_10_2 = e1)
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (86), (127), (195), (254), (573), (587) are
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #871.
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (588)  all_58_20 = e3 | all_58_21 = e2
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (25), (100), (132), (224), (569), (583),
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (588) are inconsistent by sub-proof #688.
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (589)  all_56_6 = e2 | all_56_12 = e2
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (66), (135), (201), (497), (589) are inconsistent
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #791.
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (590)  all_54_0 = e3 | all_54_0 = e2
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (119), (502), (565), (590) are inconsistent by
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #843.
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | |   (591)  all_56_12 = e3
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (201), (591) imply:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | |   (592)  e3 = e0
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (86), (592) imply:
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | |   (593)  $false
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (593) is inconsistent.
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | Case 2:
% 174.02/27.26  | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | |   (594)   ~ (all_56_12 = e0)
% 174.02/27.26  | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | REDUCE: (6), (594) imply:
% 174.02/27.26  | | | | | | | | | |   (595)   ~ (all_52_3 = e0)
% 174.02/27.26  | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | | REF_CLOSE: (6), (110), (176), (184), (595) are inconsistent
% 174.02/27.26  | | | | | | | | | |            by sub-proof #918.
% 174.02/27.26  | | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | | 
% 174.02/27.26  | | | | | | | | Case 2:
% 174.02/27.26  | | | | | | | | | 
% 174.02/27.26  | | | | | | | | |   (596)  all_56_9 = e0
% 174.02/27.26  | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | COMBINE_EQS: (61), (596) imply:
% 174.02/27.26  | | | | | | | | |   (597)  all_52_12 = e0
% 174.02/27.26  | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | REDUCE: (185), (597) imply:
% 174.02/27.26  | | | | | | | | |   (598)  $false
% 174.02/27.26  | | | | | | | | | 
% 174.02/27.26  | | | | | | | | | CLOSE: (598) is inconsistent.
% 174.02/27.26  | | | | | | | | | 
% 174.02/27.26  | | | | | | | | End of split
% 174.02/27.26  | | | | | | | | 
% 174.02/27.26  | | | | | | | End of split
% 174.02/27.26  | | | | | | | 
% 174.02/27.26  | | | | | | End of split
% 174.02/27.26  | | | | | | 
% 174.02/27.26  | | | | | End of split
% 174.02/27.26  | | | | | 
% 174.02/27.26  | | | | End of split
% 174.02/27.26  | | | | 
% 174.02/27.26  | | | End of split
% 174.02/27.26  | | | 
% 174.02/27.26  | | End of split
% 174.02/27.26  | | 
% 174.02/27.26  | End of split
% 174.02/27.26  | 
% 174.02/27.26  End of proof
% 174.02/27.26  
% 174.02/27.26  Sub-proof #522 shows that the following formulas are inconsistent:
% 174.02/27.26  ----------------------------------------------------------------
% 174.02/27.26    (1)  all_54_7 = e3 | all_54_7 = e2
% 174.02/27.26    (2)  all_54_7 = all_52_13
% 174.02/27.26    (3)   ~ (all_52_13 = e2)
% 174.02/27.26    (4)   ~ (all_52_13 = e3)
% 174.02/27.26  
% 174.02/27.26  Begin of proof
% 174.02/27.26  | 
% 174.02/27.26  | BETA: splitting (1) gives:
% 174.02/27.26  | 
% 174.02/27.26  | Case 1:
% 174.02/27.26  | | 
% 174.02/27.26  | |   (5)  all_54_7 = e2
% 174.02/27.26  | | 
% 174.02/27.26  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #711.
% 174.02/27.26  | | 
% 174.02/27.26  | Case 2:
% 174.02/27.26  | | 
% 174.02/27.26  | |   (6)  all_54_7 = e3
% 174.02/27.26  | | 
% 174.02/27.26  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #710.
% 174.02/27.26  | | 
% 174.02/27.26  | End of split
% 174.02/27.26  | 
% 174.02/27.26  End of proof
% 174.02/27.26  
% 174.02/27.26  Sub-proof #523 shows that the following formulas are inconsistent:
% 174.02/27.26  ----------------------------------------------------------------
% 174.02/27.26    (1)   ~ (e3 = e1)
% 174.02/27.26    (2)  all_54_3 = all_52_12
% 174.02/27.26    (3)  all_58_2 = all_52_12
% 174.02/27.26    (4)  all_56_15 = all_14_2
% 174.02/27.26    (5)  all_58_11 = e0
% 174.02/27.26    (6)  all_58_12 = all_14_2
% 174.02/27.26    (7)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.02/27.26    (8)  all_58_30 = e0
% 174.02/27.26    (9)   ~ (all_52_12 = e3)
% 174.02/27.26    (10)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 174.02/27.26    (11)  all_56_9 = all_52_12
% 174.02/27.26    (12)   ~ (e3 = e2)
% 174.02/27.26    (13)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 174.02/27.26    (14)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.02/27.26    (15)  all_58_5 = all_52_13
% 174.02/27.26    (16)   ~ (e3 = e0)
% 174.02/27.26    (17)  all_58_29 = all_52_13
% 174.02/27.26    (18)  all_56_11 = e0
% 174.02/27.26    (19)  all_56_10 = all_52_13
% 174.02/27.26    (20)  all_58_28 = all_52_12
% 174.02/27.26    (21)   ~ (e1 = e0)
% 174.02/27.26    (22)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 174.02/27.26            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 174.02/27.26            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 174.02/27.26            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 174.02/27.26            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 174.02/27.26            (all_58_15 = e0))
% 174.02/27.26    (23)   ~ (all_52_12 = all_52_13)
% 174.02/27.26  
% 174.02/27.26  Begin of proof
% 174.02/27.26  | 
% 174.02/27.26  | BETA: splitting (7) gives:
% 174.02/27.26  | 
% 174.02/27.26  | Case 1:
% 174.02/27.26  | | 
% 174.02/27.26  | |   (24)  all_58_30 = e1
% 174.02/27.26  | | 
% 174.02/27.26  | | REF_CLOSE: (8), (21), (24) are inconsistent by sub-proof #838.
% 174.02/27.26  | | 
% 174.02/27.26  | Case 2:
% 174.02/27.26  | | 
% 174.02/27.26  | |   (25)  all_58_28 = e3 | all_58_29 = e2
% 174.02/27.26  | | 
% 174.02/27.26  | | BETA: splitting (25) gives:
% 174.02/27.26  | | 
% 174.02/27.26  | | Case 1:
% 174.02/27.26  | | | 
% 174.02/27.26  | | |   (26)  all_58_29 = e2
% 174.02/27.26  | | | 
% 174.02/27.26  | | | COMBINE_EQS: (17), (26) imply:
% 174.02/27.26  | | |   (27)  all_52_13 = e2
% 174.02/27.26  | | | 
% 174.02/27.26  | | | COMBINE_EQS: (19), (27) imply:
% 174.02/27.26  | | |   (28)  all_56_10 = e2
% 174.02/27.26  | | | 
% 174.02/27.26  | | | COMBINE_EQS: (15), (27) imply:
% 174.02/27.26  | | |   (29)  all_58_5 = e2
% 174.02/27.26  | | | 
% 174.02/27.26  | | | REDUCE: (23), (27) imply:
% 174.02/27.26  | | |   (30)   ~ (all_52_12 = e2)
% 174.02/27.26  | | | 
% 174.02/27.26  | | | BETA: splitting (14) gives:
% 174.02/27.26  | | | 
% 174.02/27.26  | | | Case 1:
% 174.02/27.26  | | | | 
% 174.02/27.26  | | | |   (31)  all_56_9 = e1
% 174.02/27.26  | | | | 
% 174.02/27.26  | | | | COMBINE_EQS: (11), (31) imply:
% 174.02/27.26  | | | |   (32)  all_52_12 = e1
% 174.02/27.26  | | | | 
% 174.02/27.26  | | | | COMBINE_EQS: (3), (32) imply:
% 174.02/27.26  | | | |   (33)  all_58_2 = e1
% 174.02/27.26  | | | | 
% 174.02/27.26  | | | | REF_CLOSE: (1), (4), (5), (6), (12), (13), (16), (18), (22), (28), (29),
% 174.02/27.26  | | | |            (31), (33) are inconsistent by sub-proof #533.
% 174.02/27.26  | | | | 
% 174.02/27.26  | | | Case 2:
% 174.02/27.26  | | | | 
% 174.02/27.26  | | | |   (34)   ~ (all_56_9 = e1)
% 174.02/27.26  | | | | 
% 174.02/27.26  | | | | REDUCE: (11), (34) imply:
% 174.02/27.26  | | | |   (35)   ~ (all_52_12 = e1)
% 174.02/27.26  | | | | 
% 174.02/27.26  | | | | REF_CLOSE: (2), (9), (10), (30), (35) are inconsistent by sub-proof
% 174.02/27.26  | | | |            #890.
% 174.02/27.26  | | | | 
% 174.02/27.26  | | | End of split
% 174.02/27.26  | | | 
% 174.02/27.26  | | Case 2:
% 174.02/27.26  | | | 
% 174.02/27.26  | | |   (36)  all_58_28 = e3
% 174.02/27.26  | | | 
% 174.02/27.26  | | | COMBINE_EQS: (20), (36) imply:
% 174.02/27.26  | | |   (37)  all_52_12 = e3
% 174.02/27.26  | | | 
% 174.02/27.26  | | | REDUCE: (9), (37) imply:
% 174.02/27.26  | | |   (38)  $false
% 174.02/27.26  | | | 
% 174.02/27.26  | | | CLOSE: (38) is inconsistent.
% 174.02/27.26  | | | 
% 174.02/27.26  | | End of split
% 174.02/27.26  | | 
% 174.02/27.26  | End of split
% 174.02/27.26  | 
% 174.02/27.26  End of proof
% 174.02/27.26  
% 174.02/27.26  Sub-proof #524 shows that the following formulas are inconsistent:
% 174.02/27.26  ----------------------------------------------------------------
% 174.02/27.26    (1)  all_56_1 = all_52_4
% 174.02/27.26    (2)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.02/27.26    (3)   ~ (e3 = e1)
% 174.02/27.26    (4)  all_58_2 = all_52_12
% 174.02/27.26    (5)  all_56_15 = all_14_2
% 174.02/27.26    (6)  all_58_11 = e0
% 174.02/27.26    (7)  all_58_12 = all_14_2
% 174.02/27.26    (8)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.02/27.26    (9)  all_58_30 = e0
% 174.02/27.26    (10)   ~ (all_52_4 = all_52_6)
% 174.02/27.26    (11)  all_56_0 = all_6_2
% 174.02/27.26    (12)  all_58_21 = e0
% 174.02/27.26    (13)  all_56_9 = all_52_12
% 174.02/27.26    (14)  all_56_4 = e0
% 174.02/27.26    (15)   ~ (e3 = e2)
% 174.02/27.26    (16)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 174.02/27.26    (17)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.02/27.26    (18)   ~ (all_6_2 = e1)
% 174.02/27.26    (19)   ~ (all_52_12 = e0)
% 174.02/27.26    (20)  all_58_5 = all_52_13
% 174.02/27.26    (21)   ~ (e3 = e0)
% 174.02/27.26    (22)  all_58_29 = all_52_13
% 174.02/27.26    (23)  all_58_20 = all_52_4
% 174.02/27.26    (24)  all_56_11 = e0
% 174.02/27.26    (25)  all_58_22 = all_52_6
% 174.02/27.26    (26)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 174.02/27.26    (27)  all_56_10 = all_52_13
% 174.02/27.26    (28)   ~ (e2 = e0)
% 174.02/27.26    (29)  all_58_28 = all_52_12
% 174.02/27.26    (30)   ~ (e1 = e0)
% 174.02/27.26    (31)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 174.02/27.26            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 174.02/27.26            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 174.02/27.26            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 174.02/27.26            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 174.02/27.26            (all_58_15 = e0))
% 174.02/27.26  
% 174.02/27.26  Begin of proof
% 174.02/27.26  | 
% 174.02/27.26  | BETA: splitting (17) gives:
% 174.02/27.26  | 
% 174.02/27.26  | Case 1:
% 174.02/27.26  | | 
% 174.02/27.26  | |   (32)  all_56_9 = e1
% 174.02/27.26  | | 
% 174.02/27.26  | | COMBINE_EQS: (13), (32) imply:
% 174.02/27.26  | |   (33)  all_52_12 = e1
% 174.02/27.26  | | 
% 174.02/27.26  | | SIMP: (33) implies:
% 174.02/27.26  | |   (34)  all_52_12 = e1
% 174.02/27.26  | | 
% 174.02/27.26  | | COMBINE_EQS: (29), (34) imply:
% 174.02/27.26  | |   (35)  all_58_28 = e1
% 174.02/27.26  | | 
% 174.02/27.26  | | COMBINE_EQS: (4), (34) imply:
% 174.02/27.26  | |   (36)  all_58_2 = e1
% 174.02/27.26  | | 
% 174.02/27.26  | | REF_CLOSE: (3), (5), (6), (7), (8), (9), (15), (16), (20), (21), (22), (24),
% 174.02/27.26  | |            (27), (30), (31), (32), (35), (36) are inconsistent by sub-proof
% 174.02/27.26  | |            #532.
% 174.02/27.26  | | 
% 174.02/27.26  | Case 2:
% 174.02/27.26  | | 
% 174.02/27.26  | |   (37)   ~ (all_56_9 = e1)
% 174.02/27.26  | | 
% 174.02/27.26  | | REDUCE: (13), (37) imply:
% 174.02/27.26  | |   (38)   ~ (all_52_12 = e1)
% 174.02/27.26  | | 
% 174.02/27.26  | | REF_CLOSE: (1), (2), (3), (10), (11), (12), (13), (14), (18), (23), (25),
% 174.02/27.26  | |            (26), (28), (30), (38) are inconsistent by sub-proof #672.
% 174.02/27.26  | | 
% 174.02/27.26  | End of split
% 174.02/27.26  | 
% 174.02/27.26  End of proof
% 174.02/27.26  
% 174.02/27.26  Sub-proof #525 shows that the following formulas are inconsistent:
% 174.02/27.26  ----------------------------------------------------------------
% 174.02/27.26    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.02/27.26    (2)   ~ (all_52_4 = all_4_2)
% 174.02/27.26    (3)  all_54_1 = all_52_4
% 174.02/27.26    (4)   ~ (all_52_4 = e3)
% 174.02/27.26    (5)   ~ (all_52_4 = e1)
% 174.02/27.26    (6)  all_58_22 = e1
% 174.02/27.26    (7)  all_58_27 = e1
% 174.02/27.26    (8)  all_58_20 = all_52_4
% 174.02/27.26    (9)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 174.02/27.26    (10)  all_58_27 = e0
% 174.02/27.26    (11)  all_58_21 = all_4_2
% 174.02/27.26    (12)   ~ (e1 = e0)
% 174.02/27.26  
% 174.02/27.26  Begin of proof
% 174.02/27.26  | 
% 174.02/27.26  | COMBINE_EQS: (7), (10) imply:
% 174.02/27.26  |   (13)  e1 = e0
% 174.02/27.26  | 
% 174.02/27.26  | SIMP: (13) implies:
% 174.02/27.26  |   (14)  e1 = e0
% 174.02/27.26  | 
% 174.02/27.26  | COMBINE_EQS: (6), (14) imply:
% 174.02/27.26  |   (15)  all_58_22 = e0
% 174.02/27.27  | 
% 174.02/27.27  | REF_CLOSE: (1), (2), (3), (4), (5), (8), (9), (11), (12), (15) are
% 174.02/27.27  |            inconsistent by sub-proof #606.
% 174.02/27.27  | 
% 174.02/27.27  End of proof
% 174.02/27.27  
% 174.02/27.27  Sub-proof #526 shows that the following formulas are inconsistent:
% 174.02/27.27  ----------------------------------------------------------------
% 174.02/27.27    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.02/27.27    (2)   ~ (all_52_4 = all_4_2)
% 174.02/27.27    (3)  e1 = e0
% 174.02/27.27    (4)  all_54_1 = all_52_4
% 174.02/27.27    (5)   ~ (all_52_4 = e3)
% 174.02/27.27    (6)   ~ (all_52_4 = e1)
% 174.02/27.27    (7)  all_58_22 = e2
% 174.02/27.27    (8)  e2 = e1
% 174.02/27.27    (9)  all_58_20 = all_52_4
% 174.02/27.27    (10)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 174.02/27.27    (11)  all_58_21 = all_4_2
% 174.02/27.27    (12)   ~ (e1 = e0)
% 174.02/27.27  
% 174.02/27.27  Begin of proof
% 174.02/27.27  | 
% 174.02/27.27  | SIMP: (3) implies:
% 174.02/27.27  |   (13)  e1 = e0
% 174.02/27.27  | 
% 174.02/27.27  | COMBINE_EQS: (8), (13) imply:
% 174.02/27.27  |   (14)  e2 = e0
% 174.02/27.27  | 
% 174.02/27.27  | COMBINE_EQS: (7), (14) imply:
% 174.02/27.27  |   (15)  all_58_22 = e0
% 174.02/27.27  | 
% 174.02/27.27  | REF_CLOSE: (1), (2), (4), (5), (6), (9), (10), (11), (12), (15) are
% 174.02/27.27  |            inconsistent by sub-proof #606.
% 174.02/27.27  | 
% 174.02/27.27  End of proof
% 174.02/27.27  
% 174.02/27.27  Sub-proof #527 shows that the following formulas are inconsistent:
% 174.02/27.27  ----------------------------------------------------------------
% 174.02/27.27    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.02/27.27    (2)   ~ (all_52_4 = all_4_2)
% 174.02/27.27    (3)  all_54_1 = all_52_4
% 174.02/27.27    (4)  all_58_29 = e1
% 174.02/27.27    (5)   ~ (all_52_4 = e3)
% 174.02/27.27    (6)   ~ (all_52_4 = e1)
% 174.02/27.27    (7)  all_58_22 = e1
% 174.02/27.27    (8)  all_58_20 = all_52_4
% 174.02/27.27    (9)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 174.02/27.27    (10)  all_58_29 = e0
% 174.02/27.27    (11)  all_58_21 = all_4_2
% 174.02/27.27    (12)   ~ (e1 = e0)
% 174.02/27.27  
% 174.02/27.27  Begin of proof
% 174.02/27.27  | 
% 174.02/27.27  | COMBINE_EQS: (4), (10) imply:
% 174.02/27.27  |   (13)  e1 = e0
% 174.02/27.27  | 
% 174.02/27.27  | SIMP: (13) implies:
% 174.02/27.27  |   (14)  e1 = e0
% 174.02/27.27  | 
% 174.02/27.27  | COMBINE_EQS: (7), (14) imply:
% 174.02/27.27  |   (15)  all_58_22 = e0
% 174.02/27.27  | 
% 174.02/27.27  | REF_CLOSE: (1), (2), (3), (5), (6), (8), (9), (11), (12), (15) are
% 174.02/27.27  |            inconsistent by sub-proof #606.
% 174.02/27.27  | 
% 174.02/27.27  End of proof
% 174.02/27.27  
% 174.02/27.27  Sub-proof #528 shows that the following formulas are inconsistent:
% 174.02/27.27  ----------------------------------------------------------------
% 174.02/27.27    (1)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.02/27.27    (2)  all_58_30 = all_52_14
% 174.02/27.27    (3)  all_58_28 = e3
% 174.02/27.27    (4)  e3 = e2
% 174.02/27.27    (5)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 174.02/27.27    (6)   ~ (all_52_13 = all_52_14)
% 174.02/27.27    (7)   ~ (all_52_13 = e2)
% 174.02/27.27    (8)   ~ (e3 = e0)
% 174.02/27.27    (9)  e3 = e0
% 174.02/27.27    (10)  all_58_29 = all_52_13
% 174.02/27.27    (11)  all_54_7 = all_52_13
% 174.02/27.27    (12)   ~ (all_52_13 = e3)
% 174.02/27.27  
% 174.02/27.27  Begin of proof
% 174.02/27.27  | 
% 174.02/27.27  | COMBINE_EQS: (4), (9) imply:
% 174.02/27.27  |   (13)  e2 = e0
% 174.02/27.27  | 
% 174.02/27.27  | COMBINE_EQS: (3), (9) imply:
% 174.02/27.27  |   (14)  all_58_28 = e0
% 174.02/27.27  | 
% 174.02/27.27  | REF_CLOSE: (1), (2), (5), (6), (7), (8), (10), (11), (12), (14) are
% 174.02/27.27  |            inconsistent by sub-proof #529.
% 174.02/27.27  | 
% 174.02/27.27  End of proof
% 174.02/27.27  
% 174.02/27.27  Sub-proof #529 shows that the following formulas are inconsistent:
% 174.02/27.27  ----------------------------------------------------------------
% 174.02/27.27    (1)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.02/27.27    (2)  all_58_30 = all_52_14
% 174.02/27.27    (3)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 174.02/27.27    (4)  all_58_28 = e0
% 174.02/27.27    (5)   ~ (all_52_13 = all_52_14)
% 174.02/27.27    (6)   ~ (all_52_13 = e2)
% 174.02/27.27    (7)   ~ (e3 = e0)
% 174.02/27.27    (8)  all_58_29 = all_52_13
% 174.02/27.27    (9)  all_54_7 = all_52_13
% 174.02/27.27    (10)   ~ (all_52_13 = e3)
% 174.02/27.27  
% 174.02/27.27  Begin of proof
% 174.02/27.27  | 
% 174.02/27.27  | BETA: splitting (3) gives:
% 174.02/27.27  | 
% 174.02/27.27  | Case 1:
% 174.02/27.27  | | 
% 174.02/27.27  | |   (11)  all_54_7 = e1
% 174.02/27.27  | | 
% 174.02/27.27  | | COMBINE_EQS: (9), (11) imply:
% 174.02/27.27  | |   (12)  all_52_13 = e1
% 174.02/27.27  | | 
% 174.02/27.27  | | SIMP: (12) implies:
% 174.02/27.27  | |   (13)  all_52_13 = e1
% 174.02/27.27  | | 
% 174.02/27.27  | | COMBINE_EQS: (8), (13) imply:
% 174.02/27.27  | |   (14)  all_58_29 = e1
% 174.02/27.27  | | 
% 174.02/27.27  | | REDUCE: (5), (13) imply:
% 174.02/27.27  | |   (15)   ~ (all_52_14 = e1)
% 174.02/27.27  | | 
% 174.02/27.27  | | SIMP: (15) implies:
% 174.02/27.27  | |   (16)   ~ (all_52_14 = e1)
% 174.02/27.27  | | 
% 174.02/27.27  | | REDUCE: (6), (13) imply:
% 174.02/27.27  | |   (17)   ~ (e2 = e1)
% 174.02/27.27  | | 
% 174.02/27.27  | | SIMP: (17) implies:
% 174.02/27.27  | |   (18)   ~ (e2 = e1)
% 174.02/27.27  | | 
% 174.02/27.27  | | REF_CLOSE: (1), (2), (4), (7), (14), (16), (18) are inconsistent by
% 174.02/27.27  | |            sub-proof #856.
% 174.02/27.27  | | 
% 174.02/27.27  | Case 2:
% 174.02/27.27  | | 
% 174.02/27.27  | |   (19)  all_54_7 = e3 | all_54_7 = e2
% 174.02/27.27  | | 
% 174.02/27.27  | | REF_CLOSE: (6), (9), (10), (19) are inconsistent by sub-proof #709.
% 174.02/27.27  | | 
% 174.02/27.27  | End of split
% 174.02/27.27  | 
% 174.02/27.27  End of proof
% 174.02/27.27  
% 174.02/27.27  Sub-proof #530 shows that the following formulas are inconsistent:
% 174.02/27.27  ----------------------------------------------------------------
% 174.02/27.27    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.02/27.27    (2)  all_58_24 = e1
% 174.02/27.27    (3)   ~ (all_52_4 = all_4_2)
% 174.02/27.27    (4)  all_54_1 = all_52_4
% 174.02/27.27    (5)   ~ (all_52_4 = e3)
% 174.02/27.27    (6)   ~ (all_52_4 = e1)
% 174.02/27.27    (7)  all_58_22 = e1
% 174.02/27.27    (8)  all_58_20 = all_52_4
% 174.02/27.27    (9)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 174.02/27.27    (10)  all_58_24 = e0
% 174.02/27.27    (11)  all_58_21 = all_4_2
% 174.02/27.27    (12)   ~ (e1 = e0)
% 174.02/27.27  
% 174.02/27.27  Begin of proof
% 174.02/27.27  | 
% 174.02/27.27  | COMBINE_EQS: (2), (10) imply:
% 174.02/27.27  |   (13)  e1 = e0
% 174.02/27.27  | 
% 174.02/27.27  | SIMP: (13) implies:
% 174.02/27.27  |   (14)  e1 = e0
% 174.02/27.27  | 
% 174.02/27.27  | COMBINE_EQS: (7), (14) imply:
% 174.02/27.27  |   (15)  all_58_22 = e0
% 174.02/27.27  | 
% 174.02/27.27  | REF_CLOSE: (1), (3), (4), (5), (6), (8), (9), (11), (12), (15) are
% 174.02/27.27  |            inconsistent by sub-proof #606.
% 174.02/27.27  | 
% 174.02/27.27  End of proof
% 174.02/27.27  
% 174.02/27.27  Sub-proof #531 shows that the following formulas are inconsistent:
% 174.02/27.27  ----------------------------------------------------------------
% 174.02/27.27    (1)   ~ (e3 = e1)
% 174.02/27.27    (2)  e3 = e1
% 174.02/27.27    (3)  all_56_15 = all_14_2
% 174.02/27.27    (4)  all_58_11 = e0
% 174.02/27.27    (5)  all_58_12 = all_14_2
% 174.02/27.27    (6)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.02/27.27    (7)  all_58_30 = e0
% 174.02/27.27    (8)  all_58_28 = e3
% 174.02/27.27    (9)   ~ (e3 = e2)
% 174.02/27.27    (10)  all_56_9 = e3
% 174.02/27.27    (11)  all_58_2 = e3
% 174.02/27.27    (12)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 174.02/27.27    (13)  all_58_5 = all_52_13
% 174.02/27.27    (14)   ~ (e3 = e0)
% 174.02/27.27    (15)  all_58_29 = all_52_13
% 174.02/27.27    (16)  all_56_11 = e0
% 174.02/27.27    (17)  all_56_10 = all_52_13
% 174.02/27.27    (18)   ~ (e1 = e0)
% 174.02/27.27    (19)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 174.02/27.27            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 174.02/27.27            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 174.02/27.27            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 174.02/27.27            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 174.02/27.27            (all_58_15 = e0))
% 174.02/27.27  
% 174.02/27.27  Begin of proof
% 174.02/27.27  | 
% 174.02/27.27  | COMBINE_EQS: (2), (10) imply:
% 174.02/27.27  |   (20)  all_56_9 = e1
% 174.02/27.27  | 
% 174.02/27.27  | COMBINE_EQS: (2), (8) imply:
% 174.02/27.27  |   (21)  all_58_28 = e1
% 174.02/27.27  | 
% 174.02/27.27  | COMBINE_EQS: (2), (11) imply:
% 174.02/27.27  |   (22)  all_58_2 = e1
% 174.02/27.27  | 
% 174.02/27.27  | REF_CLOSE: (1), (3), (4), (5), (6), (7), (9), (12), (13), (14), (15), (16),
% 174.02/27.27  |            (17), (18), (19), (20), (21), (22) are inconsistent by sub-proof
% 174.02/27.27  |            #532.
% 174.02/27.27  | 
% 174.02/27.27  End of proof
% 174.02/27.27  
% 174.02/27.27  Sub-proof #532 shows that the following formulas are inconsistent:
% 174.02/27.27  ----------------------------------------------------------------
% 174.02/27.27    (1)   ~ (e3 = e1)
% 174.02/27.27    (2)  all_56_15 = all_14_2
% 174.02/27.27    (3)  all_58_11 = e0
% 174.02/27.27    (4)  all_58_28 = e1
% 174.02/27.27    (5)  all_58_12 = all_14_2
% 174.02/27.27    (6)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.02/27.27    (7)  all_58_30 = e0
% 174.02/27.27    (8)   ~ (e3 = e2)
% 174.02/27.27    (9)  all_58_2 = e1
% 174.02/27.27    (10)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 174.02/27.27    (11)  all_58_5 = all_52_13
% 174.02/27.27    (12)   ~ (e3 = e0)
% 174.02/27.27    (13)  all_58_29 = all_52_13
% 174.02/27.27    (14)  all_56_11 = e0
% 174.02/27.27    (15)  all_56_10 = all_52_13
% 174.02/27.27    (16)  all_56_9 = e1
% 174.02/27.27    (17)   ~ (e1 = e0)
% 174.02/27.27    (18)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 174.02/27.27            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 174.02/27.27            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 174.02/27.27            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 174.02/27.27            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 174.02/27.27            (all_58_15 = e0))
% 174.02/27.27  
% 174.02/27.27  Begin of proof
% 174.02/27.27  | 
% 174.02/27.27  | BETA: splitting (6) gives:
% 174.02/27.27  | 
% 174.02/27.27  | Case 1:
% 174.02/27.27  | | 
% 174.02/27.27  | |   (19)  all_58_30 = e1
% 174.02/27.27  | | 
% 174.02/27.27  | | REF_CLOSE: (7), (17), (19) are inconsistent by sub-proof #838.
% 174.02/27.27  | | 
% 174.02/27.27  | Case 2:
% 174.02/27.27  | | 
% 174.02/27.27  | |   (20)  all_58_28 = e3 | all_58_29 = e2
% 174.02/27.27  | | 
% 174.02/27.27  | | BETA: splitting (20) gives:
% 174.02/27.27  | | 
% 174.02/27.27  | | Case 1:
% 174.02/27.27  | | | 
% 174.02/27.27  | | |   (21)  all_58_29 = e2
% 174.02/27.27  | | | 
% 174.02/27.27  | | | COMBINE_EQS: (13), (21) imply:
% 174.02/27.27  | | |   (22)  all_52_13 = e2
% 174.02/27.27  | | | 
% 174.02/27.27  | | | COMBINE_EQS: (15), (22) imply:
% 174.02/27.27  | | |   (23)  all_56_10 = e2
% 174.02/27.27  | | | 
% 174.02/27.27  | | | COMBINE_EQS: (11), (22) imply:
% 174.02/27.27  | | |   (24)  all_58_5 = e2
% 174.02/27.27  | | | 
% 174.02/27.27  | | | REF_CLOSE: (1), (2), (3), (5), (8), (9), (10), (12), (14), (16), (18),
% 174.02/27.27  | | |            (23), (24) are inconsistent by sub-proof #533.
% 174.02/27.27  | | | 
% 174.02/27.27  | | Case 2:
% 174.02/27.27  | | | 
% 174.02/27.27  | | |   (25)  all_58_28 = e3
% 174.02/27.27  | | | 
% 174.02/27.27  | | | REF_CLOSE: (1), (4), (25) are inconsistent by sub-proof #837.
% 174.02/27.27  | | | 
% 174.02/27.27  | | End of split
% 174.02/27.27  | | 
% 174.02/27.27  | End of split
% 174.02/27.27  | 
% 174.02/27.27  End of proof
% 174.02/27.27  
% 174.02/27.27  Sub-proof #533 shows that the following formulas are inconsistent:
% 174.02/27.27  ----------------------------------------------------------------
% 174.02/27.27    (1)   ~ (e3 = e1)
% 174.02/27.27    (2)  all_56_15 = all_14_2
% 174.02/27.27    (3)  all_58_11 = e0
% 174.02/27.27    (4)  all_58_12 = all_14_2
% 174.02/27.27    (5)   ~ (e3 = e2)
% 174.02/27.27    (6)  all_58_2 = e1
% 174.02/27.27    (7)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 174.02/27.27    (8)   ~ (e3 = e0)
% 174.02/27.27    (9)  all_56_10 = e2
% 174.02/27.27    (10)  all_58_5 = e2
% 174.02/27.27    (11)  all_56_11 = e0
% 174.02/27.27    (12)  all_56_9 = e1
% 174.02/27.27    (13)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 174.02/27.27            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 174.02/27.27            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 174.02/27.27            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 174.02/27.27            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 174.02/27.27            (all_58_15 = e0))
% 174.02/27.27  
% 174.02/27.27  Begin of proof
% 174.02/27.27  | 
% 174.02/27.27  | BETA: splitting (7) gives:
% 174.02/27.27  | 
% 174.02/27.27  | Case 1:
% 174.02/27.27  | | 
% 174.02/27.27  | |   (14)  all_56_9 = e3
% 174.02/27.27  | | 
% 174.02/27.27  | | COMBINE_EQS: (12), (14) imply:
% 174.02/27.27  | |   (15)  e3 = e1
% 174.02/27.27  | | 
% 174.02/27.27  | | REDUCE: (1), (15) imply:
% 174.02/27.27  | |   (16)  $false
% 174.02/27.27  | | 
% 174.02/27.27  | | CLOSE: (16) is inconsistent.
% 174.02/27.27  | | 
% 174.02/27.27  | Case 2:
% 174.02/27.27  | | 
% 174.02/27.27  | |   (17)  all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 174.02/27.27  | | 
% 174.02/27.27  | | BETA: splitting (13) gives:
% 174.02/27.27  | | 
% 174.02/27.27  | | Case 1:
% 174.02/27.27  | | | 
% 174.02/27.27  | | |   (18)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 174.02/27.27  | | |           (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 174.02/27.27  | | |           (all_58_6 = e1) &  ~ (all_58_7 = e0))
% 174.02/27.27  | | | 
% 174.02/27.27  | | | REF_CLOSE: (6), (10), (18) are inconsistent by sub-proof #536.
% 174.02/27.27  | | | 
% 174.02/27.27  | | Case 2:
% 174.02/27.27  | | | 
% 174.02/27.27  | | |   (19)  ( ~ (all_58_8 = e3) &  ~ (all_58_9 = e2) &  ~ (all_58_10 = e1) & 
% 174.02/27.27  | | |           ~ (all_58_11 = e0)) | ( ~ (all_58_12 = e3) &  ~ (all_58_13 = e2)
% 174.02/27.27  | | |           &  ~ (all_58_14 = e1) &  ~ (all_58_15 = e0))
% 174.02/27.27  | | | 
% 174.02/27.27  | | | BETA: splitting (19) gives:
% 174.02/27.27  | | | 
% 174.02/27.27  | | | Case 1:
% 174.02/27.27  | | | | 
% 174.02/27.27  | | | |   (20)   ~ (all_58_8 = e3) &  ~ (all_58_9 = e2) &  ~ (all_58_10 = e1) & 
% 174.02/27.27  | | | |         ~ (all_58_11 = e0)
% 174.02/27.27  | | | | 
% 174.02/27.27  | | | | ALPHA: (20) implies:
% 174.02/27.27  | | | |   (21)   ~ (all_58_11 = e0)
% 174.02/27.27  | | | | 
% 174.02/27.27  | | | | REDUCE: (3), (21) imply:
% 174.02/27.27  | | | |   (22)  $false
% 174.02/27.27  | | | | 
% 174.02/27.27  | | | | CLOSE: (22) is inconsistent.
% 174.02/27.27  | | | | 
% 174.02/27.27  | | | Case 2:
% 174.02/27.27  | | | | 
% 174.02/27.27  | | | |   (23)   ~ (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1)
% 174.02/27.27  | | | |         &  ~ (all_58_15 = e0)
% 174.02/27.27  | | | | 
% 174.02/27.27  | | | | ALPHA: (23) implies:
% 174.02/27.27  | | | |   (24)   ~ (all_58_12 = e3)
% 174.02/27.27  | | | | 
% 174.02/27.27  | | | | REDUCE: (4), (24) imply:
% 174.02/27.27  | | | |   (25)   ~ (all_14_2 = e3)
% 174.02/27.27  | | | | 
% 174.02/27.27  | | | | BETA: splitting (17) gives:
% 174.02/27.27  | | | | 
% 174.02/27.27  | | | | Case 1:
% 174.02/27.27  | | | | | 
% 174.02/27.27  | | | | |   (26)  all_56_10 = e3
% 174.02/27.27  | | | | | 
% 174.02/27.27  | | | | | COMBINE_EQS: (9), (26) imply:
% 174.02/27.27  | | | | |   (27)  e3 = e2
% 174.02/27.27  | | | | | 
% 174.02/27.27  | | | | | REDUCE: (5), (27) imply:
% 174.02/27.27  | | | | |   (28)  $false
% 174.02/27.27  | | | | | 
% 174.02/27.27  | | | | | CLOSE: (28) is inconsistent.
% 174.02/27.27  | | | | | 
% 174.02/27.27  | | | | Case 2:
% 174.02/27.27  | | | | | 
% 174.02/27.27  | | | | |   (29)  all_56_11 = e3 | all_56_15 = e3
% 174.02/27.27  | | | | | 
% 174.02/27.27  | | | | | REF_CLOSE: (2), (8), (11), (25), (29) are inconsistent by sub-proof
% 174.02/27.27  | | | | |            #534.
% 174.02/27.27  | | | | | 
% 174.02/27.27  | | | | End of split
% 174.02/27.27  | | | | 
% 174.02/27.27  | | | End of split
% 174.02/27.27  | | | 
% 174.02/27.27  | | End of split
% 174.02/27.27  | | 
% 174.02/27.27  | End of split
% 174.02/27.27  | 
% 174.02/27.27  End of proof
% 174.02/27.27  
% 174.02/27.27  Sub-proof #534 shows that the following formulas are inconsistent:
% 174.02/27.27  ----------------------------------------------------------------
% 174.02/27.27    (1)  all_56_15 = all_14_2
% 174.02/27.27    (2)   ~ (all_14_2 = e3)
% 174.02/27.27    (3)   ~ (e3 = e0)
% 174.02/27.27    (4)  all_56_11 = e0
% 174.02/27.27    (5)  all_56_11 = e3 | all_56_15 = e3
% 174.02/27.27  
% 174.02/27.27  Begin of proof
% 174.02/27.27  | 
% 174.02/27.27  | BETA: splitting (5) gives:
% 174.02/27.27  | 
% 174.02/27.27  | Case 1:
% 174.02/27.27  | | 
% 174.02/27.27  | |   (6)  all_56_11 = e3
% 174.02/27.27  | | 
% 174.02/27.27  | | COMBINE_EQS: (4), (6) imply:
% 174.02/27.27  | |   (7)  e3 = e0
% 174.02/27.27  | | 
% 174.02/27.27  | | REDUCE: (3), (7) imply:
% 174.02/27.27  | |   (8)  $false
% 174.02/27.27  | | 
% 174.02/27.27  | | CLOSE: (8) is inconsistent.
% 174.02/27.27  | | 
% 174.02/27.27  | Case 2:
% 174.02/27.27  | | 
% 174.02/27.27  | |   (9)  all_56_15 = e3
% 174.02/27.27  | | 
% 174.02/27.27  | | REF_CLOSE: (1), (2), (9) are inconsistent by sub-proof #535.
% 174.02/27.27  | | 
% 174.02/27.27  | End of split
% 174.02/27.27  | 
% 174.02/27.27  End of proof
% 174.02/27.27  
% 174.02/27.27  Sub-proof #535 shows that the following formulas are inconsistent:
% 174.02/27.27  ----------------------------------------------------------------
% 174.02/27.27    (1)  all_56_15 = all_14_2
% 174.02/27.27    (2)  all_56_15 = e3
% 174.02/27.27    (3)   ~ (all_14_2 = e3)
% 174.02/27.27  
% 174.02/27.27  Begin of proof
% 174.02/27.27  | 
% 174.02/27.27  | COMBINE_EQS: (1), (2) imply:
% 174.02/27.27  |   (4)  all_14_2 = e3
% 174.02/27.27  | 
% 174.02/27.27  | SIMP: (4) implies:
% 174.02/27.27  |   (5)  all_14_2 = e3
% 174.02/27.27  | 
% 174.02/27.27  | REDUCE: (3), (5) imply:
% 174.02/27.27  |   (6)  $false
% 174.02/27.27  | 
% 174.02/27.27  | CLOSE: (6) is inconsistent.
% 174.02/27.27  | 
% 174.02/27.27  End of proof
% 174.02/27.27  
% 174.02/27.27  Sub-proof #536 shows that the following formulas are inconsistent:
% 174.02/27.27  ----------------------------------------------------------------
% 174.02/27.27    (1)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 174.02/27.27           (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 174.02/27.27           (all_58_6 = e1) &  ~ (all_58_7 = e0))
% 174.02/27.27    (2)  all_58_2 = e1
% 174.02/27.27    (3)  all_58_5 = e2
% 174.02/27.27  
% 174.02/27.27  Begin of proof
% 174.02/27.27  | 
% 174.02/27.27  | BETA: splitting (1) gives:
% 174.02/27.27  | 
% 174.02/27.27  | Case 1:
% 174.02/27.27  | | 
% 174.02/27.27  | |   (4)   ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 174.02/27.27  | |        (all_58_3 = e0)
% 174.02/27.27  | | 
% 174.02/27.27  | | ALPHA: (4) implies:
% 174.02/27.27  | |   (5)   ~ (all_58_2 = e1)
% 174.02/27.27  | | 
% 174.02/27.27  | | REDUCE: (2), (5) imply:
% 174.02/27.27  | |   (6)  $false
% 174.02/27.27  | | 
% 174.02/27.27  | | CLOSE: (6) is inconsistent.
% 174.02/27.27  | | 
% 174.02/27.27  | Case 2:
% 174.02/27.27  | | 
% 174.02/27.27  | |   (7)   ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~ (all_58_6 = e1) &  ~
% 174.02/27.27  | |        (all_58_7 = e0)
% 174.02/27.27  | | 
% 174.02/27.27  | | ALPHA: (7) implies:
% 174.02/27.27  | |   (8)   ~ (all_58_5 = e2)
% 174.02/27.27  | | 
% 174.02/27.27  | | REDUCE: (3), (8) imply:
% 174.02/27.27  | |   (9)  $false
% 174.02/27.27  | | 
% 174.02/27.27  | | CLOSE: (9) is inconsistent.
% 174.02/27.27  | | 
% 174.02/27.27  | End of split
% 174.02/27.27  | 
% 174.02/27.27  End of proof
% 174.02/27.27  
% 174.02/27.27  Sub-proof #537 shows that the following formulas are inconsistent:
% 174.02/27.27  ----------------------------------------------------------------
% 174.02/27.27    (1)   ~ (all_52_12 = all_14_2)
% 174.02/27.27    (2)  op(e0, e0) = all_14_2
% 174.02/27.27    (3)  all_56_1 = all_52_4
% 174.02/27.27    (4)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 174.02/27.27    (5)  all_56_12 = all_52_3
% 174.02/27.27    (6)  op(e3, all_52_12) = all_58_3
% 174.02/27.27    (7)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 174.02/27.27    (8)   ~ (all_52_8 = all_52_12)
% 174.02/27.27    (9)   ~ (e3 = e1)
% 174.02/27.27    (10)   ~ (all_52_3 = all_14_2)
% 174.02/27.27    (11)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.02/27.27    (12)   ~ (all_52_3 = all_52_11)
% 174.02/27.27    (13)   ~ (all_52_12 = all_6_2)
% 174.02/27.27    (14)  op(e1, e0) = all_58_8
% 174.02/27.27    (15)  all_58_23 = all_4_1
% 174.02/27.27    (16)  op(e1, e0) = all_52_14
% 174.02/27.27    (17)  all_56_15 = all_14_2
% 174.02/27.27    (18)  all_56_13 = all_4_1
% 174.02/27.27    (19)  all_54_6 = all_52_9
% 174.02/27.27    (20)  all_56_14 = all_52_11
% 174.02/27.27    (21)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 174.02/27.27    (22)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 174.02/27.27    (23)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 174.02/27.27    (24)  all_56_8 = all_10_2
% 174.02/27.27    (25)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.02/27.27    (26)  all_58_26 = all_10_2
% 174.02/27.27    (27)  all_58_31 = all_14_2
% 174.02/27.27    (28)   ~ (all_52_11 = all_10_2)
% 174.02/27.27    (29)   ~ (all_52_9 = all_52_13)
% 174.02/27.27    (30)   ~ (all_52_3 = all_6_2)
% 174.02/27.27    (31)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 174.02/27.27    (32)   ~ (all_52_4 = e0)
% 174.02/27.27    (33)  all_58_18 = e0
% 174.02/27.27    (34)   ~ (all_52_1 = all_6_2)
% 174.02/27.27    (35)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 174.02/27.27    (36)  all_54_2 = all_52_8
% 174.02/27.27    (37)  all_56_11 = all_52_14
% 174.02/27.27    (38)   ~ (all_4_1 = e0)
% 174.02/27.27    (39)  all_56_0 = all_6_2
% 174.02/27.27    (40)  all_58_30 = all_52_14
% 174.02/27.27    (41)  all_58_27 = all_52_11
% 174.02/27.27    (42)  all_58_17 = all_52_1
% 174.02/27.27    (43)  all_58_21 = e0
% 174.02/27.27    (44)  all_58_19 = all_52_3
% 174.02/27.27    (45)  all_56_9 = all_52_12
% 174.02/27.27    (46)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 174.02/27.27    (47)   ~ (all_52_4 = all_4_1)
% 174.02/27.27    (48)   ~ (e3 = e2)
% 174.02/27.27    (49)   ~ (e2 = e1)
% 174.02/27.27    (50)  op(e0, all_52_11) = all_58_14
% 174.02/27.27    (51)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 174.02/27.27    (52)   ~ (all_52_11 = all_4_1)
% 174.02/27.27    (53)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 174.02/27.27    (54)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.02/27.27    (55)   ~ (all_52_6 = all_4_1)
% 174.02/27.27    (56)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.02/27.27    (57)   ~ (all_52_13 = all_52_14)
% 174.02/27.27    (58)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.02/27.27    (59)  all_58_16 = all_6_2
% 174.02/27.27    (60)   ~ (all_52_4 = all_6_2)
% 174.02/27.27    (61)  all_56_2 = all_52_1
% 174.02/27.27    (62)  all_58_5 = all_52_13
% 174.02/27.27    (63)   ~ (e3 = e0)
% 174.02/27.27    (64)  op(e3, e0) = all_52_12
% 174.02/27.27    (65)  all_58_29 = all_52_13
% 174.02/27.27    (66)   ~ (all_40_0 = e3) |  ~ (all_40_1 = e1)
% 174.02/27.27    (67)   ~ (all_6_2 = e0)
% 174.02/27.27    (68)   ~ (all_52_6 = all_52_14)
% 174.02/27.27    (69)   ~ (all_52_8 = all_10_2)
% 174.02/27.27    (70)  all_56_4 = all_52_8
% 174.02/27.27    (71)   ~ (all_52_1 = all_52_13)
% 174.02/27.27    (72)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 174.02/27.27    (73)  all_58_20 = all_52_4
% 174.02/27.27    (74)  all_54_10 = all_10_2
% 174.02/27.27    (75)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 174.02/27.27    (76)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.02/27.27    (77)   ~ (all_52_8 = all_52_11)
% 174.02/27.27    (78)   ~ (all_52_8 = all_6_2)
% 174.02/27.27    (79)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 174.02/27.27    (80)   ~ (all_52_1 = all_52_9)
% 174.02/27.27    (81)  all_56_6 = e0
% 174.02/27.27    (82)  all_58_24 = all_52_8
% 174.02/27.27    (83)   ~ (all_52_12 = all_52_14)
% 174.02/27.27    (84)  all_56_3 = e0
% 174.02/27.27    (85)   ~ (all_52_9 = all_52_11)
% 174.02/27.27    (86)  all_58_22 = all_52_6
% 174.02/27.27    (87)   ~ (all_52_4 = all_52_12)
% 174.02/27.27    (88)  all_54_0 = all_6_2
% 174.02/27.27    (89)  all_40_0 = all_4_0
% 174.02/27.27    (90)   ~ (all_52_14 = all_10_2)
% 174.02/27.27    (91)   ~ (all_52_1 = e0)
% 174.02/27.27    (92)  op(all_4_1, e0) = all_4_0
% 174.02/27.27    (93)   ~ (all_52_4 = all_52_8)
% 174.02/27.27    (94)   ~ (all_52_14 = all_14_2)
% 174.02/27.27    (95)  all_58_25 = all_52_9
% 174.02/27.27    (96)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.02/27.27            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.02/27.27    (97)   ~ (all_52_6 = e0)
% 174.02/27.27    (98)  all_54_12 = all_52_3
% 174.02/27.27    (99)  all_40_1 = all_4_1
% 174.02/27.27    (100)  all_56_10 = all_52_13
% 174.02/27.27    (101)   ~ (all_52_3 = e0)
% 174.02/27.27    (102)   ~ (e2 = e0)
% 174.02/27.27    (103)   ~ (all_52_1 = all_52_3)
% 174.02/27.27    (104)  all_58_28 = all_52_12
% 174.02/27.27    (105)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 174.02/27.27    (106)   ~ (e1 = e0)
% 174.02/27.27    (107)  all_56_7 = all_52_6
% 174.02/27.27    (108)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 174.02/27.27             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 174.02/27.27             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 174.02/27.27             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 174.02/27.27             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 174.02/27.27             (all_58_15 = e0))
% 174.02/27.27    (109)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 174.02/27.27    (110)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 174.02/27.27    (111)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 174.02/27.27           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 174.02/27.27           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.02/27.27           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 174.02/27.27           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.02/27.27           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.02/27.27           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.02/27.27           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 174.02/27.27           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.02/27.27           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 174.02/27.27             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 174.02/27.27             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 174.02/27.27             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 174.02/27.27             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 174.02/27.27             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 174.02/27.27             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 174.02/27.27             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 174.02/27.27             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 174.02/27.27             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 174.02/27.27             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 174.02/27.27             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 174.02/27.27             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 174.02/27.27             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 174.02/27.27             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 174.02/27.27             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 174.02/27.27             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.02/27.27           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.02/27.27           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.02/27.27           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 174.02/27.27             all_58_30 = e0 & e1 = e0)
% 174.02/27.27    (112)  all_54_7 = all_52_13
% 174.02/27.27    (113)  all_54_11 = all_52_14
% 174.02/27.27    (114)   ~ (all_52_12 = all_52_13)
% 174.02/27.27  
% 174.02/27.27  Begin of proof
% 174.02/27.27  | 
% 174.02/27.27  | BETA: splitting (4) gives:
% 174.02/27.27  | 
% 174.02/27.27  | Case 1:
% 174.02/27.27  | | 
% 174.02/27.27  | |   (115)  all_56_12 = e0
% 174.02/27.27  | | 
% 174.02/27.27  | | REF_CLOSE: (5), (101), (115) are inconsistent by sub-proof #919.
% 174.02/27.27  | | 
% 174.02/27.27  | Case 2:
% 174.02/27.27  | | 
% 174.02/27.27  | |   (116)  all_56_13 = e0 | all_56_14 = e0
% 174.02/27.27  | | 
% 174.02/27.27  | | BETA: splitting (116) gives:
% 174.02/27.27  | | 
% 174.02/27.27  | | Case 1:
% 174.02/27.27  | | | 
% 174.02/27.27  | | |   (117)  all_56_13 = e0
% 174.02/27.27  | | | 
% 174.02/27.27  | | | COMBINE_EQS: (18), (117) imply:
% 174.02/27.27  | | |   (118)  all_4_1 = e0
% 174.02/27.27  | | | 
% 174.02/27.27  | | | SIMP: (118) implies:
% 174.02/27.27  | | |   (119)  all_4_1 = e0
% 174.02/27.27  | | | 
% 174.02/27.27  | | | REDUCE: (38), (119) imply:
% 174.02/27.27  | | |   (120)  $false
% 174.02/27.27  | | | 
% 174.02/27.27  | | | CLOSE: (120) is inconsistent.
% 174.02/27.27  | | | 
% 174.02/27.27  | | Case 2:
% 174.02/27.27  | | | 
% 174.02/27.27  | | |   (121)  all_56_14 = e0
% 174.02/27.27  | | | 
% 174.02/27.27  | | | COMBINE_EQS: (20), (121) imply:
% 174.02/27.27  | | |   (122)  all_52_11 = e0
% 174.02/27.27  | | | 
% 174.02/27.27  | | | SIMP: (122) implies:
% 174.02/27.27  | | |   (123)  all_52_11 = e0
% 174.02/27.27  | | | 
% 174.02/27.27  | | | COMBINE_EQS: (41), (123) imply:
% 174.02/27.27  | | |   (124)  all_58_27 = e0
% 174.02/27.27  | | | 
% 174.02/27.27  | | | REDUCE: (77), (123) imply:
% 174.02/27.27  | | |   (125)   ~ (all_52_8 = e0)
% 174.02/27.27  | | | 
% 174.02/27.27  | | | REDUCE: (85), (123) imply:
% 174.02/27.27  | | |   (126)   ~ (all_52_9 = e0)
% 174.02/27.27  | | | 
% 174.02/27.27  | | | REDUCE: (28), (123) imply:
% 174.02/27.27  | | |   (127)   ~ (all_10_2 = e0)
% 174.02/27.27  | | | 
% 174.02/27.27  | | | SIMP: (127) implies:
% 174.02/27.27  | | |   (128)   ~ (all_10_2 = e0)
% 174.02/27.27  | | | 
% 174.02/27.27  | | | REDUCE: (52), (123) imply:
% 174.02/27.27  | | |   (129)   ~ (all_4_1 = e0)
% 174.02/27.27  | | | 
% 174.02/27.27  | | | REDUCE: (50), (123) imply:
% 174.02/27.27  | | |   (130)  op(e0, e0) = all_58_14
% 174.02/27.27  | | | 
% 174.02/27.27  | | | BETA: splitting (79) gives:
% 174.02/27.27  | | | 
% 174.02/27.27  | | | Case 1:
% 174.02/27.27  | | | | 
% 174.02/27.27  | | | |   (131)  all_56_0 = e0
% 174.02/27.27  | | | | 
% 174.02/27.27  | | | | REF_CLOSE: (39), (67), (131) are inconsistent by sub-proof #939.
% 174.02/27.27  | | | | 
% 174.02/27.27  | | | Case 2:
% 174.02/27.27  | | | | 
% 174.02/27.27  | | | |   (132)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 174.02/27.27  | | | | 
% 174.02/27.27  | | | | BETA: splitting (132) gives:
% 174.02/27.27  | | | | 
% 174.02/27.27  | | | | Case 1:
% 174.02/27.27  | | | | | 
% 174.02/27.27  | | | | |   (133)  all_56_1 = e0
% 174.02/27.27  | | | | | 
% 174.02/27.27  | | | | | REF_CLOSE: (3), (32), (133) are inconsistent by sub-proof #560.
% 174.02/27.27  | | | | | 
% 174.02/27.27  | | | | Case 2:
% 174.02/27.27  | | | | | 
% 174.02/27.27  | | | | |   (134)  all_56_4 = e0 | all_56_9 = e0
% 174.02/27.27  | | | | | 
% 174.02/27.27  | | | | | BETA: splitting (134) gives:
% 174.02/27.27  | | | | | 
% 174.02/27.27  | | | | | Case 1:
% 174.02/27.27  | | | | | | 
% 174.02/27.27  | | | | | |   (135)  all_56_4 = e0
% 174.02/27.27  | | | | | | 
% 174.02/27.27  | | | | | | REF_CLOSE: (70), (125), (135) are inconsistent by sub-proof #564.
% 174.02/27.27  | | | | | | 
% 174.02/27.27  | | | | | Case 2:
% 174.02/27.27  | | | | | | 
% 174.02/27.27  | | | | | |   (136)  all_56_9 = e0
% 174.02/27.27  | | | | | | 
% 174.02/27.27  | | | | | | COMBINE_EQS: (45), (136) imply:
% 174.02/27.27  | | | | | |   (137)  all_52_12 = e0
% 174.02/27.27  | | | | | | 
% 174.02/27.27  | | | | | | SIMP: (137) implies:
% 174.02/27.27  | | | | | |   (138)  all_52_12 = e0
% 174.02/27.27  | | | | | | 
% 174.02/27.27  | | | | | | COMBINE_EQS: (104), (138) imply:
% 174.02/27.27  | | | | | |   (139)  all_58_28 = e0
% 174.02/27.27  | | | | | | 
% 174.02/27.27  | | | | | | REDUCE: (114), (138) imply:
% 174.02/27.27  | | | | | |   (140)   ~ (all_52_13 = e0)
% 174.02/27.27  | | | | | | 
% 174.02/27.27  | | | | | | SIMP: (140) implies:
% 174.02/27.27  | | | | | |   (141)   ~ (all_52_13 = e0)
% 174.02/27.27  | | | | | | 
% 174.02/27.27  | | | | | | REDUCE: (83), (138) imply:
% 174.02/27.27  | | | | | |   (142)   ~ (all_52_14 = e0)
% 174.02/27.27  | | | | | | 
% 174.02/27.27  | | | | | | SIMP: (142) implies:
% 174.02/27.27  | | | | | |   (143)   ~ (all_52_14 = e0)
% 174.02/27.27  | | | | | | 
% 174.02/27.27  | | | | | | REDUCE: (1), (138) imply:
% 174.02/27.27  | | | | | |   (144)   ~ (all_14_2 = e0)
% 174.02/27.27  | | | | | | 
% 174.02/27.27  | | | | | | SIMP: (144) implies:
% 174.02/27.27  | | | | | |   (145)   ~ (all_14_2 = e0)
% 174.02/27.27  | | | | | | 
% 174.02/27.27  | | | | | | REDUCE: (13), (138) imply:
% 174.02/27.27  | | | | | |   (146)   ~ (all_6_2 = e0)
% 174.02/27.27  | | | | | | 
% 174.02/27.27  | | | | | | REDUCE: (6), (138) imply:
% 174.02/27.27  | | | | | |   (147)  op(e3, e0) = all_58_3
% 174.02/27.27  | | | | | | 
% 174.02/27.27  | | | | | | REDUCE: (64), (138) imply:
% 174.02/27.27  | | | | | |   (148)  op(e3, e0) = e0
% 174.02/27.27  | | | | | | 
% 174.02/27.27  | | | | | | GROUND_INST: instantiating (96) with all_14_2, all_58_14, e0, e0,
% 174.02/27.27  | | | | | |              simplifying with (2), (130) gives:
% 174.02/27.27  | | | | | |   (149)  all_58_14 = all_14_2
% 174.02/27.27  | | | | | | 
% 174.02/27.27  | | | | | | GROUND_INST: instantiating (96) with all_52_14, all_58_8, e0, e1,
% 174.02/27.27  | | | | | |              simplifying with (14), (16) gives:
% 174.02/27.27  | | | | | |   (150)  all_58_8 = all_52_14
% 174.02/27.27  | | | | | | 
% 174.02/27.27  | | | | | | GROUND_INST: instantiating (96) with e0, all_58_3, e0, e3,
% 174.02/27.27  | | | | | |              simplifying with (147), (148) gives:
% 174.02/27.27  | | | | | |   (151)  all_58_3 = e0
% 174.02/27.27  | | | | | | 
% 174.02/27.27  | | | | | | BETA: splitting (21) gives:
% 174.02/27.27  | | | | | | 
% 174.02/27.27  | | | | | | Case 1:
% 174.02/27.27  | | | | | | | 
% 174.02/27.27  | | | | | | |   (152)  all_54_6 = e0
% 174.02/27.27  | | | | | | | 
% 174.02/27.27  | | | | | | | REF_CLOSE: (19), (126), (152) are inconsistent by sub-proof #901.
% 174.02/27.27  | | | | | | | 
% 174.02/27.27  | | | | | | Case 2:
% 174.02/27.27  | | | | | | | 
% 174.02/27.27  | | | | | | |   (153)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 174.02/27.27  | | | | | | | 
% 174.02/27.27  | | | | | | | BETA: splitting (53) gives:
% 174.02/27.27  | | | | | | | 
% 174.02/27.27  | | | | | | | Case 1:
% 174.02/27.27  | | | | | | | | 
% 174.02/27.27  | | | | | | | |   (154)  all_54_7 = e0
% 174.02/27.27  | | | | | | | | 
% 174.02/27.27  | | | | | | | | REF_CLOSE: (112), (141), (154) are inconsistent by sub-proof
% 174.02/27.27  | | | | | | | |            #714.
% 174.02/27.27  | | | | | | | | 
% 174.02/27.27  | | | | | | | Case 2:
% 174.02/27.27  | | | | | | | | 
% 174.02/27.27  | | | | | | | |   (155)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 174.02/27.27  | | | | | | | | 
% 174.02/27.27  | | | | | | | | BETA: splitting (46) gives:
% 174.02/27.27  | | | | | | | | 
% 174.02/27.27  | | | | | | | | Case 1:
% 174.02/27.27  | | | | | | | | | 
% 174.02/27.27  | | | | | | | | |   (156)  all_54_10 = e0
% 174.02/27.27  | | | | | | | | | 
% 174.02/27.27  | | | | | | | | | REF_CLOSE: (74), (128), (156) are inconsistent by sub-proof
% 174.02/27.27  | | | | | | | | |            #909.
% 174.02/27.27  | | | | | | | | | 
% 174.02/27.27  | | | | | | | | Case 2:
% 174.02/27.27  | | | | | | | | | 
% 174.02/27.27  | | | | | | | | |   (157)   ~ (all_54_10 = e0)
% 174.02/27.27  | | | | | | | | |   (158)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 174.02/27.27  | | | | | | | | | 
% 174.02/27.27  | | | | | | | | | BETA: splitting (7) gives:
% 174.02/27.27  | | | | | | | | | 
% 174.02/27.27  | | | | | | | | | Case 1:
% 174.02/27.27  | | | | | | | | | | 
% 174.02/27.27  | | | | | | | | | |   (159)  all_54_0 = e0
% 174.02/27.27  | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | REF_CLOSE: (67), (88), (159) are inconsistent by sub-proof
% 174.02/27.28  | | | | | | | | | |            #984.
% 174.02/27.28  | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | |   (160)   ~ (all_54_0 = e0)
% 174.02/27.28  | | | | | | | | | |   (161)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.02/27.28  | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | BETA: splitting (72) gives:
% 174.02/27.28  | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | |   (162)  all_54_12 = e0
% 174.02/27.28  | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | REF_CLOSE: (98), (101), (162) are inconsistent by sub-proof
% 174.02/27.28  | | | | | | | | | | |            #559.
% 174.02/27.28  | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | |   (163)   ~ (all_54_12 = e0)
% 174.02/27.28  | | | | | | | | | | |   (164)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 174.02/27.28  | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | BETA: splitting (22) gives:
% 174.02/27.28  | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | |   (165)  all_54_11 = e0
% 174.02/27.28  | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | REF_CLOSE: (113), (143), (165) are inconsistent by sub-proof
% 174.02/27.28  | | | | | | | | | | | |            #558.
% 174.02/27.28  | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | |   (166)   ~ (all_54_11 = e0)
% 174.02/27.28  | | | | | | | | | | | |   (167)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 174.02/27.28  | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | BETA: splitting (75) gives:
% 174.02/27.28  | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | |   (168)  all_54_2 = e0
% 174.02/27.28  | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | REF_CLOSE: (36), (125), (168) are inconsistent by sub-proof
% 174.02/27.28  | | | | | | | | | | | | |            #763.
% 174.02/27.28  | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | |   (169)   ~ (all_54_2 = e0)
% 174.02/27.28  | | | | | | | | | | | | |   (170)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1
% 174.02/27.28  | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | BETA: splitting (76) gives:
% 174.02/27.28  | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | |   (171)  all_58_23 = e0
% 174.02/27.28  | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | COMBINE_EQS: (15), (171) imply:
% 174.02/27.28  | | | | | | | | | | | | | |   (172)  all_4_1 = e0
% 174.02/27.28  | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | REDUCE: (38), (172) imply:
% 174.02/27.28  | | | | | | | | | | | | | |   (173)  $false
% 174.02/27.28  | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | CLOSE: (173) is inconsistent.
% 174.02/27.28  | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | |   (174)   ~ (all_58_23 = e0)
% 174.02/27.28  | | | | | | | | | | | | | |   (175)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.02/27.28  | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | BETA: splitting (11) gives:
% 174.02/27.28  | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | |   (176)  all_58_19 = e0
% 174.02/27.28  | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | COMBINE_EQS: (44), (176) imply:
% 174.02/27.28  | | | | | | | | | | | | | | |   (177)  all_52_3 = e0
% 174.02/27.28  | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | REDUCE: (101), (177) imply:
% 174.02/27.28  | | | | | | | | | | | | | | |   (178)  $false
% 174.02/27.28  | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | CLOSE: (178) is inconsistent.
% 174.02/27.28  | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | |   (179)   ~ (all_58_19 = e0)
% 174.02/27.28  | | | | | | | | | | | | | | |   (180)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | BETA: splitting (25) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | |   (181)  all_58_31 = e0
% 174.02/27.28  | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | COMBINE_EQS: (27), (181) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | |   (182)  all_14_2 = e0
% 174.02/27.28  | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | REDUCE: (145), (182) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | |   (183)  $false
% 174.02/27.28  | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | CLOSE: (183) is inconsistent.
% 174.02/27.28  | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | |   (184)   ~ (all_58_31 = e0)
% 174.02/27.28  | | | | | | | | | | | | | | | |   (185)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | |   (186)  all_56_12 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | COMBINE_EQS: (5), (186) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | |   (187)  all_52_3 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | SIMP: (187) implies:
% 174.02/27.28  | | | | | | | | | | | | | | | | |   (188)  all_52_3 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | REDUCE: (10), (188) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | |   (189)   ~ (all_14_2 = e1)
% 174.02/27.28  | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | SIMP: (189) implies:
% 174.02/27.28  | | | | | | | | | | | | | | | | |   (190)   ~ (all_14_2 = e1)
% 174.02/27.28  | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | REDUCE: (30), (188) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | |   (191)   ~ (all_6_2 = e1)
% 174.02/27.28  | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | SIMP: (191) implies:
% 174.02/27.28  | | | | | | | | | | | | | | | | |   (192)   ~ (all_6_2 = e1)
% 174.02/27.28  | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | BETA: splitting (56) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | |   (193)  all_56_9 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (136), (193) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | |   (194)  e1 = e0
% 174.02/27.28  | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | REDUCE: (106), (194) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | |   (195)  $false
% 174.02/27.28  | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | CLOSE: (195) is inconsistent.
% 174.02/27.28  | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | |   (196)   ~ (all_56_9 = e1)
% 174.02/27.28  | | | | | | | | | | | | | | | | | |   (197)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | REDUCE: (136), (196) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | |   (198)   ~ (e1 = e0)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | |   (199)  all_56_0 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (39), (199) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | |   (200)  all_6_2 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (59), (200) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | |   (201)  all_58_16 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | REDUCE: (34), (200) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | |   (202)   ~ (all_52_1 = e2)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (23), (33), (42), (48), (61), (63), (81),
% 174.02/27.28  | | | | | | | | | | | | | | | | | | |            (106), (180), (186), (199), (201), (202) are
% 174.02/27.28  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #556.
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | |   (203)   ~ (all_56_0 = e2)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | REDUCE: (39), (203) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | |   (204)   ~ (all_6_2 = e2)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | BETA: splitting (23) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | |   (205)  all_56_0 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (39), (205) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | |   (206)  all_6_2 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (206) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | |   (207)   ~ (all_52_4 = e3)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | |   (208)  all_58_22 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (86), (208) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | |   (209)  all_52_6 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (209) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | |   (210)   ~ (all_52_14 = e1)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | SIMP: (210) implies:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | |   (211)   ~ (all_52_14 = e1)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (37), (40), (49), (63), (65), (100), (139),
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | |            (185), (190), (197), (211) are inconsistent by
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | |            sub-proof #853.
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | |   (212)  all_58_20 = e3 | all_58_21 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (73), (102), (207), (212) are inconsistent
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #720.
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | |   (213)   ~ (all_56_0 = e3)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (213) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | |   (214)   ~ (all_6_2 = e3)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (88), (161), (192), (204), (214) are inconsistent
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | |            by sub-proof #848.
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.28  | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | End of split
% 174.02/27.28  | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | |   (215)   ~ (all_56_12 = e1)
% 174.02/27.28  | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | REDUCE: (5), (215) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | |   (216)   ~ (all_52_3 = e1)
% 174.02/27.28  | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | BETA: splitting (54) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | |   (217)  all_56_0 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (39), (217) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | |   (218)  all_6_2 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (59), (218) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | |   (219)  all_58_16 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | REDUCE: (34), (218) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | |   (220)   ~ (all_52_1 = e1)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | REDUCE: (78), (218) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | |   (221)   ~ (all_52_8 = e1)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | |   (222)  all_58_18 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (33), (222) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | |   (223)  e1 = e0
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | REDUCE: (106), (223) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | |   (224)  $false
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | CLOSE: (224) is inconsistent.
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | |   (225)  all_58_16 = e3 | all_58_17 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | |   (226)  all_58_17 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (42), (226) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | |   (227)  all_52_1 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | SIMP: (227) implies:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | |   (228)  all_52_1 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (61), (228) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | |   (229)  all_56_2 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | REDUCE: (103), (228) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | |   (230)   ~ (all_52_3 = e2)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | SIMP: (230) implies:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | |   (231)   ~ (all_52_3 = e2)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (228) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | |   (232)   ~ (all_52_9 = e2)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | SIMP: (232) implies:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | |   (233)   ~ (all_52_9 = e2)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (228) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | |   (234)   ~ (all_52_13 = e2)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | SIMP: (234) implies:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | |   (235)   ~ (all_52_13 = e2)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | BETA: splitting (23) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | |   (236)  all_56_0 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (217), (236) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | |   (237)  e3 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (237) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | |   (238)  $false
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | CLOSE: (238) is inconsistent.
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | |   (239)  all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | |   (240)  all_56_2 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (229), (240) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | |   (241)  e3 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (241) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | |   (242)  $false
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (242) is inconsistent.
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | |   (243)  all_56_6 = e3 | all_56_12 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | |   (244)  all_56_6 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (81), (244) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | |   (245)  e3 = e0
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (245) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | |   (246)  $false
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (246) is inconsistent.
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | |   (247)  all_56_12 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5), (247) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | |   (248)  all_52_3 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (248) implies:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | |   (249)  all_52_3 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (44), (249) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | |   (250)  all_58_19 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | |   (251)  all_58_30 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (40), (251) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | |   (252)  all_52_14 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (252) implies:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | |   (253)  all_52_14 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (253) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | |   (254)   ~ (all_52_6 = e1)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (253) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | |   (255)   ~ (all_52_13 = e1)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (253) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | |   (256)   ~ (all_10_2 = e1)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (256) implies:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | |   (257)   ~ (all_10_2 = e1)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (105) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  all_56_1 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3), (258) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  all_52_4 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (259) implies:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  all_52_4 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (73), (260) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  all_58_20 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (43), (86), (102), (175), (254), (261) are
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #675.
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (51) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  all_56_9 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (136), (263) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  e3 = e0
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (264) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  $false
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (265) is inconsistent.
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  all_58_22 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (86), (254), (267) are inconsistent by sub-proof
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #677.
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)   ~ (all_58_22 = e1)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  all_58_20 = e3 | all_58_21 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  all_58_21 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (43), (102), (219), (225), (226), (270) are
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #555.
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  all_58_20 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)   ~ (all_58_21 = e2)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (73), (271) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  all_52_4 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (273) implies:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  all_52_4 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3), (274) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)  all_56_1 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (272) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)   ~ (e2 = e0)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (274) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)   ~ (all_52_8 = e3)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (277) implies:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)   ~ (all_52_8 = e3)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (274) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)   ~ (all_4_1 = e3)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (279) implies:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)   ~ (all_4_1 = e3)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  all_54_6 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19), (281) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  all_52_9 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (282) implies:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  all_52_9 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (95), (283) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  all_58_25 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (31) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  all_56_6 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (81), (285) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  e3 = e0
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (286) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  $false
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (287) is inconsistent.
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (111) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  all_58_31 = e0
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (145), (289) are inconsistent by sub-proof
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #831.
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  all_58_26 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (26), (257), (291) are inconsistent by sub-proof
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #968.
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)   ~ (all_58_26 = e1)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_18 = e1 & all_58_20 = e3 & all_58_24 =
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_20 = e3 & all_58_28 = e0) | (all_58_17 =
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_17 = e3 & all_58_20 = e3 &
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_23 = e2 & all_58_29 = e2) | (all_58_17 =
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3) | (all_58_17 = e2 & all_58_19 = e3 &
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_20 = e2 & all_58_28 = e3) | (all_58_17 =
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_23 = e0 & all_58_29 = e0) | (all_58_17 =
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_19 = e0 & all_58_24 = e3 & all_58_28 =
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_24 = e3 & all_58_25 = e1) | (all_58_18 =
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_24 = e1 & all_58_28 = e3) | (all_58_18 =
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_18 =
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_28 = e3 & all_58_29 =
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 =
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 =
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_25 = e2 & all_58_29 =
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_22 = e2 & all_58_25 = e2 &
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e1 & all_58_30 = e1) | (all_58_22 =
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_22 = e1 & all_58_25 = e1 &
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_22 =
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_27 = e0 & all_58_29 = e2 & all_58_30 =
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_23 = e0 & all_58_27 = e1 &
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_29 = e0 & all_58_30 = e1) | (all_58_23 =
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0 & e1 = e0)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  all_56_3 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (84), (294) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  e1 = e0
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (295) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  $false
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (296) is inconsistent.
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  all_56_7 = e1 | all_56_13 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (297) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  all_56_7 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (107), (254), (298) are inconsistent by sub-proof
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #662.
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  all_56_13 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18), (299) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  all_4_1 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (300) implies:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  all_4_1 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (99), (301) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  all_40_1 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15), (301) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  all_58_23 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (280), (301) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)   ~ (e3 = e1)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (301) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  op(e1, e0) = all_4_0
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (293) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)  all_58_21 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (43), (102), (219), (225), (226), (306) are
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #555.
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  all_58_16 = e3 | (all_58_17 = e3 & all_58_18 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_20 = e3 & all_58_24 = e1) | (all_58_17
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0) | (all_58_17 = e3 & all_58_20 =
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_22 = e2 & all_58_25 = e2) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_18 = e1 & all_58_24
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 =
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e3 & all_58_29 = e0) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_19 = e0 & all_58_23
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_19 = e0 & all_58_28
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e3 = e0) | (all_58_22 = e2 & all_58_23 =
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_25 = e2 & all_58_29 = e0) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (109) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  all_56_1 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (275), (308) are inconsistent by sub-proof
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #573.
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  all_56_3 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (84), (310) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  e2 = e0
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (226), (311) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  all_58_17 = e0
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (102), (219), (225), (312) are inconsistent
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #980.
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  all_56_7 = e2 | all_56_13 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  all_54_2 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (221), (314) are inconsistent by sub-proof
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #762.
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)   ~ (all_54_2 = e1)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  all_54_2 = e3 | all_54_2 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  all_56_7 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (107), (317) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  all_52_6 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (318) implies:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  all_52_6 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (86), (319) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  all_58_22 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (266) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  all_56_10 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (100), (321) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  all_52_13 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (322) implies:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  all_52_13 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (65), (323) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  all_58_29 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (35) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  all_56_4 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (70), (325) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  all_52_8 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (326) implies:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  all_52_8 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (82), (327) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  all_58_24 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (327) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)   ~ (all_10_2 = e2)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (329) implies:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)   ~ (all_10_2 = e2)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  all_54_10 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (74), (257), (331) are inconsistent by sub-proof
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #931.
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)   ~ (all_54_10 = e1)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  all_54_10 = e3 | all_54_10 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (66) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)   ~ (all_40_1 = e1)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (302), (334) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  $false
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (335) is inconsistent.
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)   ~ (all_40_0 = e3)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (336) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)   ~ (all_4_0 = e3)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  all_54_10 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (74), (330), (338) are inconsistent by sub-proof
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #930.
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  all_54_10 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (74), (339) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  all_10_2 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (340) implies:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  all_10_2 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (24), (341) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  all_56_8 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  all_58_16 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (219), (343) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  e3 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (344) imply:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  all_58_20 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (43), (102), (269), (345) are inconsistent by
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #676.
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (346)   ~ (all_58_16 = e3)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (347) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (348) gives:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (349) gives:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2)
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (350) gives:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (351) implies:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (352)  all_58_24 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (353)  all_58_18 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (354)  all_58_17 = e3
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (226), (354) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (355)  e3 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (33), (353) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (356)  e1 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (352) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (357)  e2 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (357) implies:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (358)  e2 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (356), (358) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (359)  e2 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (102), (219), (225), (354), (355), (359) are
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #554.
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_17 = e3 & all_58_20
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_22 = e2 & all_58_25 = e2)
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (361)  all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (102), (219), (225), (250), (361) are
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #553.
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (362)  all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 &
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (362) implies:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  all_58_25 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  all_58_17 = e3
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (226), (364) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (365)  e3 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (363) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (366)  e2 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (17), (30), (37), (40), (43), (49), (56),
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (57), (59), (60), (62), (65), (67), (68), (73),
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (86), (94), (97), (98), (100), (101), (108),
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (113), (136), (139), (149), (150), (151), (164),
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (167), (175), (185), (216), (225), (364), (365),
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (366) are inconsistent by sub-proof #550.
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (367)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (367) gives:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (368)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3)
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (368) gives:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (369)  all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (369) implies:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (370)  all_58_29 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (371)  all_58_23 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (372)  all_58_17 = e3
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (303), (371) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (373)  e2 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (324), (370) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (374)  e3 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (17), (30), (37), (40), (43), (49), (56),
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (57), (59), (60), (62), (65), (67), (68), (73),
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (86), (94), (97), (98), (100), (101), (108),
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (113), (136), (139), (149), (150), (151), (164),
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (167), (175), (185), (216), (225), (372), (373),
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (374) are inconsistent by sub-proof #550.
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (375)  all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e3
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (375) implies:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (376)  all_58_24 = e3
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (377)  all_58_18 = e3
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (33), (377) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (378)  e3 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (376) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (379)  e3 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (379) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (380)  e2 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (102), (219), (225), (226), (380) are
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (381)  (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (381) gives:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (382)  all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 &
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (382) implies:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (383)  all_58_28 = e3
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (384)  all_58_20 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (384) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (385)  e3 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (139), (383) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (386)  e3 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (386) implies:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (387)  e3 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (387) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (388)  e2 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (102), (219), (225), (226), (388) are
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (389)  all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (389) implies:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (390)  all_58_22 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (320), (390) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (391)  e2 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (17), (30), (37), (40), (43), (49), (56),
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (57), (59), (60), (62), (65), (67), (68), (73),
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (86), (94), (97), (98), (100), (101), (108),
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (113), (136), (139), (149), (150), (151), (164),
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (167), (175), (185), (216), (225), (226), (391)
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #549.
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (392)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0)
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (392) gives:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (393)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (394)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2)
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (394) gives:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (395)  all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (395) implies:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (396)  all_58_29 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (397)  all_58_20 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (397) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (398)  e3 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (324), (396) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (399)  e3 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (102), (219), (225), (226), (398), (399) are
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #548.
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (400)  all_58_17 = e2 & all_58_20 = e2 & e3 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (271), (400) are inconsistent by sub-proof
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #777.
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (401)  (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1)
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (401) gives:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (402)  all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (402) implies:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (403)  all_58_24 = e3
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (404)  all_58_19 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (404) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (405)  e3 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (403) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (406)  e3 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (102), (219), (225), (226), (405), (406) are
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #548.
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (407)  all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 &
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (407) implies:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (408)  all_58_24 = e3
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (409)  all_58_22 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (410)  all_58_18 = e3
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (33), (410) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (411)  e3 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (320), (409) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (412)  e2 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (412) implies:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (413)  e2 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (408) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (414)  e3 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (414) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (415)  e2 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (415) implies:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (416)  e2 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (416) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (417)  e1 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (102), (219), (225), (226), (413), (417) are
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #547.
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (418)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (418) gives:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (419)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3)
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (419) gives:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (420)  all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (420) implies:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (421)  all_58_24 = e3
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (422)  all_58_18 = e3
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (33), (422) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (423)  e3 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (421) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (424)  e3 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (102), (219), (225), (226), (423), (424) are
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #548.
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (425)  all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (425) implies:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (426)  all_58_24 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (427)  all_58_18 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (33), (102), (219), (225), (226), (328),
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (426), (427) are inconsistent by sub-proof #546.
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (428)  (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (428) gives:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (429)  all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 &
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (33), (102), (219), (225), (226), (284),
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (429) are inconsistent by sub-proof #545.
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (430)  all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (430) implies:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (431)  all_58_30 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (432)  all_58_24 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (432) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (433)  e2 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (102), (219), (225), (226), (251), (431),
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (433) are inconsistent by sub-proof #544.
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (434)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (434) gives:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (435)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (435) gives:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (436)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (436) gives:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (437)  all_58_18 = e1 & all_58_24 = e1 & e3 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (437) implies:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (438)  all_58_24 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (439)  all_58_18 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (33), (102), (219), (225), (226), (328),
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (438), (439) are inconsistent by sub-proof #546.
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (440)  (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (440) gives:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (441)  all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (441) implies:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (442)  all_58_29 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (324), (442) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (443)  e3 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (342), (443) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (444)  all_56_8 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (37), (48), (63), (96), (288), (305), (317),
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (337), (444) are inconsistent by sub-proof #541.
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (445)  all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (445) implies:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (446)  all_58_28 = e3
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (139), (446) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (447)  e3 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (447) implies:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (448)  e3 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (342), (448) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (449)  all_56_8 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (37), (48), (63), (96), (288), (305), (317),
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (337), (449) are inconsistent by sub-proof #541.
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (450)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (450) gives:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (451)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1)
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (451) gives:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (452)  all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (452) implies:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (453)  all_58_29 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (454)  all_58_23 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (455)  all_58_19 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (455) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (456)  e3 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (303), (454) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (457)  e2 = e1
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (324), (453) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (458)  e3 = e2
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (458) imply:
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (459)  e2 = e0
% 174.02/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (457), (459) imply:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (460)  e1 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (102), (219), (225), (226), (457), (460) are
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #547.
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (461)  all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (461) implies:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (462)  all_58_19 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (462) imply:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (463)  e3 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (342), (463) imply:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (464)  all_56_8 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (37), (48), (63), (96), (288), (305), (317),
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (337), (464) are inconsistent by sub-proof #541.
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (465)  (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (465) gives:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (466)  all_58_19 = e0 & all_58_28 = e0 & e3 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (466) implies:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (467)  all_58_19 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (467) imply:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (468)  e3 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (342), (468) imply:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (469)  all_56_8 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (37), (48), (63), (96), (288), (305), (317),
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (337), (469) are inconsistent by sub-proof #541.
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (470)  all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (470) implies:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (471)  all_58_25 = e2
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (472)  all_58_23 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (303), (472) imply:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (473)  e1 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (473) implies:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (474)  e1 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (471) imply:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (475)  e2 = e1
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (102), (219), (225), (226), (474), (475) are
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #547.
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (476)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (476) gives:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (477)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (477) gives:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (478)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2)
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (478) gives:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (479)  all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (102), (124), (219), (225), (226), (284),
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (479) are inconsistent by sub-proof #540.
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (480)  all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (480) implies:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (481)  all_58_23 = e2
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (303), (481) imply:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (482)  e2 = e1
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (226), (482) imply:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (483)  all_58_17 = e1
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (17), (30), (37), (40), (43), (49), (56),
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (57), (59), (60), (62), (65), (67), (68), (73),
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (86), (94), (97), (98), (100), (101), (108),
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (113), (136), (139), (149), (150), (151), (164),
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (167), (175), (185), (216), (225), (483) are
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #551.
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (484)  (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (484) gives:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (485)  all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (485) implies:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (486)  all_58_30 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (487)  all_58_22 = e1
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (320), (487) imply:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (488)  e2 = e1
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (102), (219), (225), (226), (251), (486),
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (488) are inconsistent by sub-proof #544.
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (489)  all_58_22 = e1 & all_58_25 = e1 & e2 = e1
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (489) implies:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (490)  all_58_22 = e1
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (320), (490) imply:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (491)  e2 = e1
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (17), (30), (37), (40), (43), (49), (56),
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (57), (59), (60), (62), (65), (67), (68), (73),
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (86), (94), (97), (98), (100), (101), (108),
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (113), (136), (139), (149), (150), (151), (164),
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (167), (175), (185), (216), (225), (226), (491)
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #549.
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (492)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (492) gives:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (493)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1)
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (493) gives:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (494)  all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (494) implies:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (495)  all_58_30 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (496)  all_58_23 = e2
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (303), (496) imply:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (497)  e2 = e1
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (495) imply:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (498)  e1 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (498) implies:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (499)  e1 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (102), (219), (225), (226), (497), (499) are
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #547.
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (500)  all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (500) implies:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (501)  all_58_29 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (324), (501) imply:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (502)  e3 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (342), (502) imply:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (503)  all_56_8 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (37), (48), (63), (96), (288), (305), (317),
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (337), (503) are inconsistent by sub-proof #541.
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (504)  (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (504) gives:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (505)  all_58_23 = e0 & all_58_29 = e0 & e2 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (102), (219), (225), (226), (505) are
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #539.
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (506)  all_58_27 = e0 & all_58_30 = e0 & e1 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (506) implies:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (507)  all_58_30 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (251), (507) imply:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (508)  e1 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (299), (508) imply:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (509)  all_56_13 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (106), (107), (254), (297), (509) are inconsistent
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #661.
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (510)   ~ (all_56_4 = e2)
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (70), (278), (316), (510) are inconsistent
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #538.
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (511)   ~ (all_56_10 = e3)
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (511) imply:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (512)   ~ (all_52_13 = e3)
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (155), (235), (255), (512) are inconsistent
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #708.
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (513)  all_56_13 = e2
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (299), (513) imply:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (514)  e2 = e1
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (17), (30), (37), (40), (43), (49), (56),
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (57), (59), (60), (62), (65), (67), (68), (73),
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (86), (94), (97), (98), (100), (101), (108),
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (113), (136), (139), (149), (150), (151), (164),
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (167), (175), (185), (216), (225), (226), (514)
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #549.
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (515)  all_54_6 = e3 | all_54_6 = e2
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (515) gives:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (516)  all_54_6 = e2
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (233), (516) are inconsistent by sub-proof
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #885.
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (517)  all_54_6 = e3
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19), (517) imply:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (518)  all_52_9 = e3
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (518) implies:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (519)  all_52_9 = e3
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (519) imply:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (520)   ~ (all_52_13 = e3)
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (520) implies:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (521)   ~ (all_52_13 = e3)
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (155), (235), (255), (521) are inconsistent
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #708.
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | |   (522)  all_58_28 = e3 | all_58_29 = e2
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (65), (139), (235), (522) are inconsistent
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #844.
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | |   (523)  all_58_16 = e3
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (219), (523) imply:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | |   (524)  e3 = e1
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (524) imply:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | |   (525)  $false
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | CLOSE: (525) is inconsistent.
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | |   (526)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.02/27.30  | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | BETA: splitting (526) gives:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | |   (527)  all_56_2 = e1
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (61), (527) imply:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | |   (528)  all_52_1 = e1
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (42), (528) imply:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | |   (529)  all_58_17 = e1
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | REDUCE: (103), (528) imply:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | |   (530)   ~ (all_52_3 = e1)
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | |   (531)  all_58_18 = e1
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (33), (531) imply:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | |   (532)  e1 = e0
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (532) imply:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | |   (533)  $false
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | CLOSE: (533) is inconsistent.
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | |   (534)  all_58_16 = e3 | all_58_17 = e2
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (17), (30), (37), (40), (43), (49), (56),
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | |            (57), (59), (60), (62), (65), (67), (68), (73),
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | |            (86), (94), (97), (98), (100), (101), (108),
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | |            (113), (136), (139), (149), (150), (151), (164),
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | |            (167), (175), (185), (216), (529), (534) are
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #551.
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | |   (535)  all_56_6 = e1 | all_56_12 = e1
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (81), (106), (216), (535) are inconsistent by
% 174.02/27.30  | | | | | | | | | | | | | | | | | | |            sub-proof #933.
% 174.02/27.30  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | | 
% 174.02/27.30  | | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | | 
% 174.02/27.30  | | | | | | | | End of split
% 174.02/27.30  | | | | | | | | 
% 174.02/27.30  | | | | | | | End of split
% 174.02/27.30  | | | | | | | 
% 174.02/27.30  | | | | | | End of split
% 174.02/27.30  | | | | | | 
% 174.02/27.30  | | | | | End of split
% 174.02/27.30  | | | | | 
% 174.02/27.30  | | | | End of split
% 174.02/27.30  | | | | 
% 174.02/27.30  | | | End of split
% 174.02/27.30  | | | 
% 174.02/27.30  | | End of split
% 174.02/27.30  | | 
% 174.02/27.30  | End of split
% 174.02/27.30  | 
% 174.02/27.30  End of proof
% 174.02/27.30  
% 174.02/27.30  Sub-proof #538 shows that the following formulas are inconsistent:
% 174.02/27.30  ----------------------------------------------------------------
% 174.02/27.30    (1)   ~ (all_56_4 = e2)
% 174.02/27.30    (2)  all_54_2 = all_52_8
% 174.02/27.30    (3)   ~ (all_52_8 = e3)
% 174.02/27.30    (4)  all_56_4 = all_52_8
% 174.02/27.30    (5)  all_54_2 = e3 | all_54_2 = e2
% 174.02/27.30  
% 174.02/27.30  Begin of proof
% 174.02/27.30  | 
% 174.02/27.30  | REDUCE: (1), (4) imply:
% 174.02/27.30  |   (6)   ~ (all_52_8 = e2)
% 174.02/27.30  | 
% 174.02/27.30  | BETA: splitting (5) gives:
% 174.02/27.30  | 
% 174.02/27.30  | Case 1:
% 174.02/27.30  | | 
% 174.02/27.30  | |   (7)  all_54_2 = e2
% 174.02/27.30  | | 
% 174.02/27.30  | | REF_CLOSE: (2), (6), (7) are inconsistent by sub-proof #692.
% 174.02/27.30  | | 
% 174.02/27.30  | Case 2:
% 174.02/27.30  | | 
% 174.02/27.30  | |   (8)  all_54_2 = e3
% 174.02/27.30  | | 
% 174.02/27.30  | | REF_CLOSE: (2), (3), (8) are inconsistent by sub-proof #758.
% 174.02/27.30  | | 
% 174.02/27.30  | End of split
% 174.02/27.30  | 
% 174.02/27.30  End of proof
% 174.02/27.30  
% 174.02/27.30  Sub-proof #539 shows that the following formulas are inconsistent:
% 174.02/27.30  ----------------------------------------------------------------
% 174.02/27.30    (1)   ~ (e3 = e1)
% 174.02/27.30    (2)  all_58_16 = e1
% 174.02/27.30    (3)  all_58_23 = e0 & all_58_29 = e0 & e2 = e0
% 174.02/27.30    (4)  all_58_17 = e2
% 174.02/27.30    (5)  all_58_16 = e3 | all_58_17 = e2
% 174.02/27.30    (6)   ~ (e2 = e0)
% 174.02/27.30  
% 174.02/27.30  Begin of proof
% 174.02/27.30  | 
% 174.02/27.30  | ALPHA: (3) implies:
% 174.02/27.30  |   (7)  e2 = e0
% 174.02/27.30  | 
% 174.02/27.30  | COMBINE_EQS: (4), (7) imply:
% 174.02/27.30  |   (8)  all_58_17 = e0
% 174.02/27.30  | 
% 174.02/27.30  | REF_CLOSE: (1), (2), (5), (6), (8) are inconsistent by sub-proof #980.
% 174.02/27.30  | 
% 174.02/27.30  End of proof
% 174.02/27.30  
% 174.02/27.30  Sub-proof #540 shows that the following formulas are inconsistent:
% 174.02/27.30  ----------------------------------------------------------------
% 174.02/27.30    (1)   ~ (e3 = e1)
% 174.02/27.30    (2)  all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 & all_58_30 = e1
% 174.02/27.30    (3)  all_58_25 = e1
% 174.02/27.30    (4)  all_58_16 = e1
% 174.02/27.30    (5)  all_58_17 = e2
% 174.02/27.30    (6)  all_58_27 = e0
% 174.02/27.30    (7)  all_58_16 = e3 | all_58_17 = e2
% 174.02/27.30    (8)   ~ (e2 = e0)
% 174.02/27.30  
% 174.02/27.30  Begin of proof
% 174.02/27.30  | 
% 174.02/27.30  | ALPHA: (2) implies:
% 174.02/27.30  |   (9)  all_58_27 = e1
% 174.02/27.30  |   (10)  all_58_25 = e2
% 174.02/27.30  | 
% 174.02/27.30  | COMBINE_EQS: (3), (10) imply:
% 174.02/27.30  |   (11)  e2 = e1
% 174.02/27.30  | 
% 174.02/27.30  | COMBINE_EQS: (6), (9) imply:
% 174.02/27.30  |   (12)  e1 = e0
% 174.02/27.30  | 
% 174.02/27.30  | SIMP: (12) implies:
% 174.02/27.30  |   (13)  e1 = e0
% 174.02/27.30  | 
% 174.02/27.30  | REF_CLOSE: (1), (4), (5), (7), (8), (11), (13) are inconsistent by sub-proof
% 174.02/27.30  |            #547.
% 174.02/27.30  | 
% 174.02/27.30  End of proof
% 174.02/27.30  
% 174.02/27.30  Sub-proof #541 shows that the following formulas are inconsistent:
% 174.02/27.30  ----------------------------------------------------------------
% 174.02/27.30    (1)   ~ (all_4_0 = e3)
% 174.02/27.30    (2)  op(e1, e0) = all_52_14
% 174.02/27.30    (3)  all_56_11 = all_52_14
% 174.02/27.30    (4)   ~ (e3 = e2)
% 174.02/27.30    (5)  all_56_8 = e0
% 174.02/27.30    (6)   ~ (e3 = e0)
% 174.02/27.30    (7)  all_56_7 = e2
% 174.02/27.30    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.02/27.30           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.02/27.30    (9)  op(e1, e0) = all_4_0
% 174.02/27.30    (10)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 174.02/27.30  
% 174.02/27.30  Begin of proof
% 174.02/27.30  | 
% 174.02/27.30  | BETA: splitting (10) gives:
% 174.02/27.30  | 
% 174.02/27.30  | Case 1:
% 174.02/27.30  | | 
% 174.02/27.30  | |   (11)  all_56_7 = e3
% 174.02/27.30  | | 
% 174.02/27.30  | | COMBINE_EQS: (7), (11) imply:
% 174.02/27.30  | |   (12)  e3 = e2
% 174.02/27.30  | | 
% 174.02/27.30  | | SIMP: (12) implies:
% 174.02/27.30  | |   (13)  e3 = e2
% 174.02/27.30  | | 
% 174.02/27.30  | | REDUCE: (4), (13) imply:
% 174.02/27.30  | |   (14)  $false
% 174.02/27.30  | | 
% 174.02/27.30  | | CLOSE: (14) is inconsistent.
% 174.02/27.30  | | 
% 174.02/27.30  | Case 2:
% 174.02/27.30  | | 
% 174.02/27.30  | |   (15)  all_56_8 = e3 | all_56_11 = e3
% 174.02/27.30  | | 
% 174.02/27.30  | | REF_CLOSE: (1), (2), (3), (5), (6), (8), (9), (15) are inconsistent by
% 174.02/27.30  | |            sub-proof #542.
% 174.02/27.30  | | 
% 174.02/27.30  | End of split
% 174.02/27.30  | 
% 174.02/27.30  End of proof
% 174.02/27.30  
% 174.02/27.30  Sub-proof #542 shows that the following formulas are inconsistent:
% 174.02/27.30  ----------------------------------------------------------------
% 174.02/27.30    (1)   ~ (all_4_0 = e3)
% 174.02/27.30    (2)  op(e1, e0) = all_52_14
% 174.02/27.30    (3)  all_56_11 = all_52_14
% 174.02/27.30    (4)  all_56_8 = e0
% 174.02/27.30    (5)   ~ (e3 = e0)
% 174.02/27.30    (6)  all_56_8 = e3 | all_56_11 = e3
% 174.02/27.30    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.02/27.30           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.02/27.30    (8)  op(e1, e0) = all_4_0
% 174.02/27.30  
% 174.02/27.30  Begin of proof
% 174.02/27.30  | 
% 174.02/27.30  | BETA: splitting (6) gives:
% 174.02/27.30  | 
% 174.02/27.30  | Case 1:
% 174.02/27.30  | | 
% 174.02/27.30  | |   (9)  all_56_8 = e3
% 174.02/27.30  | | 
% 174.02/27.30  | | REF_CLOSE: (4), (5), (9) are inconsistent by sub-proof #543.
% 174.02/27.30  | | 
% 174.02/27.30  | Case 2:
% 174.02/27.30  | | 
% 174.02/27.30  | |   (10)  all_56_11 = e3
% 174.02/27.30  | | 
% 174.02/27.30  | | COMBINE_EQS: (3), (10) imply:
% 174.02/27.30  | |   (11)  all_52_14 = e3
% 174.02/27.30  | | 
% 174.02/27.30  | | REDUCE: (2), (11) imply:
% 174.02/27.30  | |   (12)  op(e1, e0) = e3
% 174.02/27.30  | | 
% 174.02/27.30  | | REF_CLOSE: (1), (7), (8), (12) are inconsistent by sub-proof #572.
% 174.02/27.30  | | 
% 174.02/27.30  | End of split
% 174.02/27.30  | 
% 174.02/27.30  End of proof
% 174.02/27.30  
% 174.02/27.30  Sub-proof #543 shows that the following formulas are inconsistent:
% 174.02/27.30  ----------------------------------------------------------------
% 174.02/27.30    (1)  all_56_8 = e3
% 174.02/27.30    (2)  all_56_8 = e0
% 174.02/27.30    (3)   ~ (e3 = e0)
% 174.02/27.30  
% 174.02/27.30  Begin of proof
% 174.02/27.30  | 
% 174.02/27.30  | COMBINE_EQS: (1), (2) imply:
% 174.02/27.30  |   (4)  e3 = e0
% 174.02/27.30  | 
% 174.02/27.30  | SIMP: (4) implies:
% 174.02/27.30  |   (5)  e3 = e0
% 174.02/27.30  | 
% 174.02/27.30  | REDUCE: (3), (5) imply:
% 174.02/27.30  |   (6)  $false
% 174.02/27.30  | 
% 174.02/27.30  | CLOSE: (6) is inconsistent.
% 174.02/27.30  | 
% 174.02/27.30  End of proof
% 174.02/27.30  
% 174.02/27.30  Sub-proof #544 shows that the following formulas are inconsistent:
% 174.02/27.30  ----------------------------------------------------------------
% 174.02/27.30    (1)   ~ (e3 = e1)
% 174.02/27.30    (2)  all_58_30 = e0
% 174.02/27.30    (3)  all_58_16 = e1
% 174.02/27.30    (4)  e2 = e1
% 174.02/27.30    (5)  all_58_30 = e1
% 174.02/27.30    (6)  all_58_17 = e2
% 174.02/27.30    (7)  all_58_16 = e3 | all_58_17 = e2
% 174.02/27.30    (8)   ~ (e2 = e0)
% 174.02/27.30  
% 174.02/27.30  Begin of proof
% 174.02/27.30  | 
% 174.02/27.30  | SIMP: (4) implies:
% 174.02/27.30  |   (9)  e2 = e1
% 174.02/27.30  | 
% 174.02/27.30  | COMBINE_EQS: (2), (5) imply:
% 174.02/27.30  |   (10)  e1 = e0
% 174.02/27.30  | 
% 174.02/27.30  | SIMP: (10) implies:
% 174.02/27.30  |   (11)  e1 = e0
% 174.02/27.30  | 
% 174.02/27.30  | REF_CLOSE: (1), (3), (6), (7), (8), (9), (11) are inconsistent by sub-proof
% 174.02/27.30  |            #547.
% 174.02/27.30  | 
% 174.02/27.30  End of proof
% 174.02/27.30  
% 174.02/27.30  Sub-proof #545 shows that the following formulas are inconsistent:
% 174.02/27.30  ----------------------------------------------------------------
% 174.02/27.30    (1)   ~ (e3 = e1)
% 174.02/27.30    (2)  all_58_25 = e1
% 174.02/27.30    (3)  all_58_18 = e0
% 174.02/27.30    (4)  all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2
% 174.02/27.30    (5)  all_58_16 = e1
% 174.02/27.30    (6)  all_58_17 = e2
% 174.02/27.30    (7)  all_58_16 = e3 | all_58_17 = e2
% 174.02/27.30    (8)   ~ (e2 = e0)
% 174.02/27.30  
% 174.02/27.30  Begin of proof
% 174.02/27.30  | 
% 174.02/27.30  | ALPHA: (4) implies:
% 174.02/27.30  |   (9)  all_58_25 = e2
% 174.02/27.30  |   (10)  all_58_18 = e1
% 174.02/27.30  | 
% 174.02/27.30  | COMBINE_EQS: (3), (10) imply:
% 174.02/27.30  |   (11)  e1 = e0
% 174.02/27.30  | 
% 174.02/27.30  | COMBINE_EQS: (2), (9) imply:
% 174.02/27.30  |   (12)  e2 = e1
% 174.02/27.30  | 
% 174.02/27.30  | REF_CLOSE: (1), (5), (6), (7), (8), (11), (12) are inconsistent by sub-proof
% 174.02/27.30  |            #547.
% 174.02/27.30  | 
% 174.02/27.30  End of proof
% 174.02/27.30  
% 174.02/27.30  Sub-proof #546 shows that the following formulas are inconsistent:
% 174.02/27.30  ----------------------------------------------------------------
% 174.02/27.30    (1)   ~ (e3 = e1)
% 174.02/27.30    (2)  all_58_24 = e1
% 174.02/27.30    (3)  all_58_24 = e2
% 174.02/27.30    (4)  all_58_18 = e0
% 174.02/27.30    (5)  all_58_18 = e1
% 174.02/27.30    (6)  all_58_16 = e1
% 174.02/27.30    (7)  all_58_17 = e2
% 174.02/27.30    (8)  all_58_16 = e3 | all_58_17 = e2
% 174.02/27.30    (9)   ~ (e2 = e0)
% 174.02/27.30  
% 174.02/27.30  Begin of proof
% 174.02/27.30  | 
% 174.02/27.30  | COMBINE_EQS: (4), (5) imply:
% 174.02/27.30  |   (10)  e1 = e0
% 174.02/27.30  | 
% 174.02/27.30  | COMBINE_EQS: (2), (3) imply:
% 174.02/27.30  |   (11)  e2 = e1
% 174.02/27.30  | 
% 174.02/27.30  | SIMP: (11) implies:
% 174.02/27.30  |   (12)  e2 = e1
% 174.02/27.30  | 
% 174.02/27.30  | REF_CLOSE: (1), (6), (7), (8), (9), (10), (12) are inconsistent by sub-proof
% 174.02/27.30  |            #547.
% 174.02/27.30  | 
% 174.02/27.30  End of proof
% 174.02/27.30  
% 174.02/27.30  Sub-proof #547 shows that the following formulas are inconsistent:
% 174.02/27.30  ----------------------------------------------------------------
% 174.02/27.30    (1)   ~ (e3 = e1)
% 174.02/27.30    (2)  e2 = e1
% 174.02/27.30    (3)  all_58_16 = e1
% 174.02/27.30    (4)  all_58_17 = e2
% 174.02/27.30    (5)  all_58_16 = e3 | all_58_17 = e2
% 174.02/27.30    (6)   ~ (e2 = e0)
% 174.02/27.30    (7)  e1 = e0
% 174.02/27.30  
% 174.02/27.30  Begin of proof
% 174.02/27.30  | 
% 174.02/27.30  | COMBINE_EQS: (2), (7) imply:
% 174.02/27.30  |   (8)  e2 = e0
% 174.02/27.30  | 
% 174.02/27.30  | COMBINE_EQS: (4), (8) imply:
% 174.02/27.30  |   (9)  all_58_17 = e0
% 174.02/27.30  | 
% 174.02/27.30  | REF_CLOSE: (1), (3), (5), (6), (9) are inconsistent by sub-proof #980.
% 174.02/27.30  | 
% 174.02/27.30  End of proof
% 174.02/27.30  
% 174.02/27.30  Sub-proof #548 shows that the following formulas are inconsistent:
% 174.02/27.30  ----------------------------------------------------------------
% 174.02/27.30    (1)   ~ (e3 = e1)
% 174.02/27.30    (2)  e3 = e2
% 174.02/27.30    (3)  all_58_16 = e1
% 174.02/27.30    (4)  e3 = e0
% 174.02/27.30    (5)  all_58_17 = e2
% 174.02/27.30    (6)  all_58_16 = e3 | all_58_17 = e2
% 174.02/27.30    (7)   ~ (e2 = e0)
% 174.02/27.30  
% 174.02/27.30  Begin of proof
% 174.02/27.30  | 
% 174.02/27.30  | COMBINE_EQS: (2), (4) imply:
% 174.02/27.30  |   (8)  e2 = e0
% 174.02/27.30  | 
% 174.02/27.30  | COMBINE_EQS: (5), (8) imply:
% 174.02/27.30  |   (9)  all_58_17 = e0
% 174.02/27.30  | 
% 174.02/27.30  | REF_CLOSE: (1), (3), (6), (7), (9) are inconsistent by sub-proof #980.
% 174.02/27.30  | 
% 174.02/27.30  End of proof
% 174.02/27.30  
% 174.02/27.30  Sub-proof #549 shows that the following formulas are inconsistent:
% 174.02/27.30  ----------------------------------------------------------------
% 174.02/27.30    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.02/27.30    (2)  all_58_3 = e0
% 174.02/27.30    (3)   ~ (all_52_3 = all_14_2)
% 174.02/27.30    (4)  all_56_15 = all_14_2
% 174.02/27.30    (5)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.02/27.30    (6)   ~ (all_52_3 = all_6_2)
% 174.02/27.30    (7)  all_56_9 = e0
% 174.02/27.30    (8)  all_56_11 = all_52_14
% 174.02/27.30    (9)  all_58_8 = all_52_14
% 174.02/27.30    (10)  all_58_30 = all_52_14
% 174.02/27.30    (11)  all_58_21 = e0
% 174.02/27.30    (12)   ~ (e2 = e1)
% 174.02/27.30    (13)  all_58_14 = all_14_2
% 174.02/27.30    (14)   ~ (all_52_3 = e1)
% 174.02/27.30    (15)  all_58_28 = e0
% 174.02/27.30    (16)  e2 = e1
% 174.02/27.30    (17)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.02/27.30    (18)   ~ (all_52_13 = all_52_14)
% 174.02/27.30    (19)  all_58_16 = all_6_2
% 174.02/27.30    (20)   ~ (all_52_4 = all_6_2)
% 174.02/27.30    (21)  all_58_5 = all_52_13
% 174.02/27.30    (22)  all_58_29 = all_52_13
% 174.02/27.30    (23)   ~ (all_6_2 = e0)
% 174.02/27.30    (24)   ~ (all_52_6 = all_52_14)
% 174.02/27.30    (25)  all_58_20 = all_52_4
% 174.02/27.30    (26)  all_58_17 = e2
% 174.02/27.30    (27)  all_58_22 = all_52_6
% 174.02/27.30    (28)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 174.02/27.30    (29)   ~ (all_52_14 = all_14_2)
% 174.02/27.30    (30)  all_58_16 = e3 | all_58_17 = e2
% 174.02/27.30    (31)   ~ (all_52_6 = e0)
% 174.02/27.30    (32)  all_54_12 = all_52_3
% 174.02/27.30    (33)  all_56_10 = all_52_13
% 174.02/27.30    (34)   ~ (all_52_3 = e0)
% 174.02/27.31    (35)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 174.02/27.31            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 174.02/27.31            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 174.02/27.31            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 174.02/27.31            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 174.02/27.31            (all_58_15 = e0))
% 174.02/27.31    (36)  all_54_11 = all_52_14
% 174.02/27.31    (37)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 174.02/27.31  
% 174.02/27.31  Begin of proof
% 174.02/27.31  | 
% 174.02/27.31  | SIMP: (16) implies:
% 174.02/27.31  |   (38)  e2 = e1
% 174.02/27.31  | 
% 174.02/27.31  | COMBINE_EQS: (26), (38) imply:
% 174.02/27.31  |   (39)  all_58_17 = e1
% 174.02/27.31  | 
% 174.02/27.31  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 174.02/27.31  |            (13), (14), (15), (17), (18), (19), (20), (21), (22), (23), (24),
% 174.02/27.31  |            (25), (27), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 174.02/27.31  |            (37), (39) are inconsistent by sub-proof #551.
% 174.02/27.31  | 
% 174.02/27.31  End of proof
% 174.02/27.31  
% 174.02/27.31  Sub-proof #550 shows that the following formulas are inconsistent:
% 174.02/27.31  ----------------------------------------------------------------
% 174.02/27.31    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.02/27.31    (2)  all_58_3 = e0
% 174.02/27.31    (3)   ~ (all_52_3 = all_14_2)
% 174.02/27.31    (4)  all_56_15 = all_14_2
% 174.02/27.31    (5)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.02/27.31    (6)   ~ (all_52_3 = all_6_2)
% 174.02/27.31    (7)  all_56_9 = e0
% 174.02/27.31    (8)  all_58_17 = e3
% 174.02/27.31    (9)  all_56_11 = all_52_14
% 174.02/27.31    (10)  all_58_8 = all_52_14
% 174.02/27.31    (11)  all_58_30 = all_52_14
% 174.02/27.31    (12)  all_58_21 = e0
% 174.02/27.31    (13)  e3 = e2
% 174.02/27.31    (14)   ~ (e2 = e1)
% 174.02/27.31    (15)  e2 = e1
% 174.02/27.31    (16)  all_58_14 = all_14_2
% 174.02/27.31    (17)   ~ (all_52_3 = e1)
% 174.02/27.31    (18)  all_58_28 = e0
% 174.02/27.31    (19)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.02/27.31    (20)   ~ (all_52_13 = all_52_14)
% 174.02/27.31    (21)  all_58_16 = all_6_2
% 174.02/27.31    (22)   ~ (all_52_4 = all_6_2)
% 174.02/27.31    (23)  all_58_5 = all_52_13
% 174.02/27.31    (24)  all_58_29 = all_52_13
% 174.02/27.31    (25)   ~ (all_6_2 = e0)
% 174.02/27.31    (26)   ~ (all_52_6 = all_52_14)
% 174.02/27.31    (27)  all_58_20 = all_52_4
% 174.02/27.31    (28)  all_58_22 = all_52_6
% 174.02/27.31    (29)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 174.02/27.31    (30)   ~ (all_52_14 = all_14_2)
% 174.02/27.31    (31)  all_58_16 = e3 | all_58_17 = e2
% 174.02/27.31    (32)   ~ (all_52_6 = e0)
% 174.02/27.31    (33)  all_54_12 = all_52_3
% 174.02/27.31    (34)  all_56_10 = all_52_13
% 174.02/27.31    (35)   ~ (all_52_3 = e0)
% 174.02/27.31    (36)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 174.02/27.31            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 174.02/27.31            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 174.02/27.31            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 174.02/27.31            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 174.02/27.31            (all_58_15 = e0))
% 174.02/27.31    (37)  all_54_11 = all_52_14
% 174.02/27.31    (38)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 174.02/27.31  
% 174.02/27.31  Begin of proof
% 174.02/27.31  | 
% 174.02/27.31  | COMBINE_EQS: (13), (15) imply:
% 174.02/27.31  |   (39)  e3 = e1
% 174.02/27.31  | 
% 174.02/27.31  | COMBINE_EQS: (8), (39) imply:
% 174.02/27.31  |   (40)  all_58_17 = e1
% 174.02/27.31  | 
% 174.02/27.31  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (14),
% 174.02/27.31  |            (16), (17), (18), (19), (20), (21), (22), (23), (24), (25), (26),
% 174.02/27.31  |            (27), (28), (29), (30), (31), (32), (33), (34), (35), (36), (37),
% 174.02/27.31  |            (38), (40) are inconsistent by sub-proof #551.
% 174.02/27.31  | 
% 174.02/27.31  End of proof
% 174.02/27.31  
% 174.02/27.31  Sub-proof #551 shows that the following formulas are inconsistent:
% 174.02/27.31  ----------------------------------------------------------------
% 174.02/27.31    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.02/27.31    (2)  all_58_3 = e0
% 174.02/27.31    (3)   ~ (all_52_3 = all_14_2)
% 174.02/27.31    (4)  all_56_15 = all_14_2
% 174.02/27.31    (5)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.02/27.31    (6)  all_58_17 = e1
% 174.02/27.31    (7)   ~ (all_52_3 = all_6_2)
% 174.02/27.31    (8)  all_56_9 = e0
% 174.02/27.31    (9)  all_56_11 = all_52_14
% 174.02/27.31    (10)  all_58_8 = all_52_14
% 174.02/27.31    (11)  all_58_30 = all_52_14
% 174.02/27.31    (12)  all_58_21 = e0
% 174.02/27.31    (13)   ~ (e2 = e1)
% 174.02/27.31    (14)  all_58_14 = all_14_2
% 174.02/27.31    (15)   ~ (all_52_3 = e1)
% 174.02/27.31    (16)  all_58_28 = e0
% 174.02/27.31    (17)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.02/27.31    (18)   ~ (all_52_13 = all_52_14)
% 174.02/27.31    (19)  all_58_16 = all_6_2
% 174.02/27.31    (20)   ~ (all_52_4 = all_6_2)
% 174.02/27.31    (21)  all_58_5 = all_52_13
% 174.02/27.31    (22)  all_58_29 = all_52_13
% 174.02/27.31    (23)   ~ (all_6_2 = e0)
% 174.02/27.31    (24)   ~ (all_52_6 = all_52_14)
% 174.02/27.31    (25)  all_58_20 = all_52_4
% 174.02/27.31    (26)  all_58_22 = all_52_6
% 174.02/27.31    (27)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 174.02/27.31    (28)   ~ (all_52_14 = all_14_2)
% 174.02/27.31    (29)  all_58_16 = e3 | all_58_17 = e2
% 174.02/27.31    (30)   ~ (all_52_6 = e0)
% 174.02/27.31    (31)  all_54_12 = all_52_3
% 174.02/27.31    (32)  all_56_10 = all_52_13
% 174.02/27.31    (33)   ~ (all_52_3 = e0)
% 174.02/27.31    (34)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 174.02/27.31            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 174.02/27.31            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 174.02/27.31            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 174.02/27.31            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 174.02/27.31            (all_58_15 = e0))
% 174.02/27.31    (35)  all_54_11 = all_52_14
% 174.02/27.31    (36)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 174.02/27.31  
% 174.02/27.31  Begin of proof
% 174.02/27.31  | 
% 174.02/27.31  | BETA: splitting (29) gives:
% 174.02/27.31  | 
% 174.02/27.31  | Case 1:
% 174.02/27.31  | | 
% 174.02/27.31  | |   (37)  all_58_17 = e2
% 174.02/27.31  | | 
% 174.02/27.31  | | COMBINE_EQS: (6), (37) imply:
% 174.02/27.31  | |   (38)  e2 = e1
% 174.02/27.31  | | 
% 174.02/27.31  | | REDUCE: (13), (38) imply:
% 174.02/27.31  | |   (39)  $false
% 174.02/27.31  | | 
% 174.02/27.31  | | CLOSE: (39) is inconsistent.
% 174.02/27.31  | | 
% 174.02/27.31  | Case 2:
% 174.02/27.31  | | 
% 174.02/27.31  | |   (40)  all_58_16 = e3
% 174.02/27.31  | | 
% 174.02/27.31  | | COMBINE_EQS: (19), (40) imply:
% 174.02/27.31  | |   (41)  all_6_2 = e3
% 174.02/27.31  | | 
% 174.02/27.31  | | SIMP: (41) implies:
% 174.02/27.31  | |   (42)  all_6_2 = e3
% 174.02/27.31  | | 
% 174.02/27.31  | | REDUCE: (7), (42) imply:
% 174.02/27.31  | |   (43)   ~ (all_52_3 = e3)
% 174.02/27.31  | | 
% 174.02/27.31  | | REDUCE: (20), (42) imply:
% 174.02/27.31  | |   (44)   ~ (all_52_4 = e3)
% 174.02/27.31  | | 
% 174.02/27.31  | | REDUCE: (23), (42) imply:
% 174.02/27.31  | |   (45)   ~ (e3 = e0)
% 174.02/27.31  | | 
% 174.02/27.31  | | BETA: splitting (27) gives:
% 174.02/27.31  | | 
% 174.02/27.31  | | Case 1:
% 174.02/27.31  | | | 
% 174.02/27.31  | | |   (46)  all_54_12 = e1
% 174.02/27.31  | | | 
% 174.02/27.31  | | | REF_CLOSE: (15), (31), (46) are inconsistent by sub-proof #812.
% 174.02/27.31  | | | 
% 174.02/27.31  | | Case 2:
% 174.02/27.31  | | | 
% 174.02/27.31  | | |   (47)   ~ (all_54_12 = e1)
% 174.02/27.31  | | |   (48)  all_54_12 = e3 | all_54_12 = e2
% 174.02/27.31  | | | 
% 174.02/27.31  | | | BETA: splitting (48) gives:
% 174.02/27.31  | | | 
% 174.02/27.31  | | | Case 1:
% 174.02/27.31  | | | | 
% 174.02/27.31  | | | |   (49)  all_54_12 = e2
% 174.02/27.31  | | | | 
% 174.02/27.31  | | | | COMBINE_EQS: (31), (49) imply:
% 174.02/27.31  | | | |   (50)  all_52_3 = e2
% 174.02/27.31  | | | | 
% 174.02/27.31  | | | | SIMP: (50) implies:
% 174.02/27.31  | | | |   (51)  all_52_3 = e2
% 174.02/27.31  | | | | 
% 174.02/27.31  | | | | REDUCE: (3), (51) imply:
% 174.02/27.31  | | | |   (52)   ~ (all_14_2 = e2)
% 174.02/27.31  | | | | 
% 174.02/27.31  | | | | SIMP: (52) implies:
% 174.02/27.31  | | | |   (53)   ~ (all_14_2 = e2)
% 174.02/27.31  | | | | 
% 174.02/27.31  | | | | REDUCE: (33), (51) imply:
% 174.02/27.31  | | | |   (54)   ~ (e2 = e0)
% 174.02/27.31  | | | | 
% 174.02/27.31  | | | | BETA: splitting (1) gives:
% 174.02/27.31  | | | | 
% 174.02/27.31  | | | | Case 1:
% 174.02/27.31  | | | | | 
% 174.02/27.31  | | | | |   (55)  all_58_22 = e1
% 174.02/27.31  | | | | | 
% 174.02/27.31  | | | | | COMBINE_EQS: (26), (55) imply:
% 174.02/27.31  | | | | |   (56)  all_52_6 = e1
% 174.02/27.31  | | | | | 
% 174.02/27.31  | | | | | SIMP: (56) implies:
% 174.02/27.31  | | | | |   (57)  all_52_6 = e1
% 174.02/27.31  | | | | | 
% 174.02/27.31  | | | | | REDUCE: (24), (57) imply:
% 174.02/27.31  | | | | |   (58)   ~ (all_52_14 = e1)
% 174.02/27.31  | | | | | 
% 174.02/27.31  | | | | | SIMP: (58) implies:
% 174.02/27.31  | | | | |   (59)   ~ (all_52_14 = e1)
% 174.02/27.31  | | | | | 
% 174.02/27.31  | | | | | REDUCE: (30), (57) imply:
% 174.02/27.31  | | | | |   (60)   ~ (e1 = e0)
% 174.02/27.31  | | | | | 
% 174.02/27.31  | | | | | BETA: splitting (17) gives:
% 174.02/27.31  | | | | | 
% 174.02/27.31  | | | | | Case 1:
% 174.02/27.31  | | | | | | 
% 174.02/27.31  | | | | | |   (61)  all_56_9 = e1
% 174.02/27.31  | | | | | | 
% 174.02/27.31  | | | | | | COMBINE_EQS: (8), (61) imply:
% 174.02/27.31  | | | | | |   (62)  e1 = e0
% 174.02/27.31  | | | | | | 
% 174.02/27.31  | | | | | | REDUCE: (60), (62) imply:
% 174.02/27.31  | | | | | |   (63)  $false
% 174.02/27.31  | | | | | | 
% 174.02/27.31  | | | | | | CLOSE: (63) is inconsistent.
% 174.02/27.31  | | | | | | 
% 174.02/27.31  | | | | | Case 2:
% 174.02/27.31  | | | | | | 
% 174.02/27.31  | | | | | |   (64)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.02/27.31  | | | | | | 
% 174.02/27.31  | | | | | | BETA: splitting (64) gives:
% 174.02/27.31  | | | | | | 
% 174.02/27.31  | | | | | | Case 1:
% 174.02/27.31  | | | | | | | 
% 174.02/27.31  | | | | | | |   (65)  all_56_10 = e1
% 174.02/27.31  | | | | | | | 
% 174.02/27.31  | | | | | | | REF_CLOSE: (5), (11), (13), (16), (22), (32), (45), (59), (65) are
% 174.02/27.31  | | | | | | |            inconsistent by sub-proof #855.
% 174.02/27.31  | | | | | | | 
% 174.02/27.31  | | | | | | Case 2:
% 174.02/27.31  | | | | | | | 
% 174.02/27.31  | | | | | | |   (66)  all_56_11 = e1 | all_56_15 = e1
% 174.02/27.31  | | | | | | | 
% 174.02/27.31  | | | | | | | BETA: splitting (66) gives:
% 174.02/27.31  | | | | | | | 
% 174.02/27.31  | | | | | | | Case 1:
% 174.02/27.31  | | | | | | | | 
% 174.02/27.31  | | | | | | | |   (67)  all_56_11 = e1
% 174.02/27.31  | | | | | | | | 
% 174.02/27.31  | | | | | | | | COMBINE_EQS: (9), (67) imply:
% 174.02/27.31  | | | | | | | |   (68)  all_52_14 = e1
% 174.02/27.31  | | | | | | | | 
% 174.02/27.31  | | | | | | | | REDUCE: (59), (68) imply:
% 174.02/27.31  | | | | | | | |   (69)  $false
% 174.02/27.31  | | | | | | | | 
% 174.02/27.31  | | | | | | | | CLOSE: (69) is inconsistent.
% 174.02/27.31  | | | | | | | | 
% 174.02/27.31  | | | | | | | Case 2:
% 174.02/27.31  | | | | | | | | 
% 174.02/27.31  | | | | | | | |   (70)  all_56_15 = e1
% 174.02/27.31  | | | | | | | | 
% 174.02/27.31  | | | | | | | | COMBINE_EQS: (4), (70) imply:
% 174.02/27.31  | | | | | | | |   (71)  all_14_2 = e1
% 174.02/27.31  | | | | | | | | 
% 174.02/27.31  | | | | | | | | SIMP: (71) implies:
% 174.02/27.31  | | | | | | | |   (72)  all_14_2 = e1
% 174.02/27.31  | | | | | | | | 
% 174.02/27.31  | | | | | | | | COMBINE_EQS: (14), (72) imply:
% 174.02/27.31  | | | | | | | |   (73)  all_58_14 = e1
% 174.02/27.31  | | | | | | | | 
% 174.02/27.31  | | | | | | | | REDUCE: (53), (72) imply:
% 174.02/27.31  | | | | | | | |   (74)   ~ (e2 = e1)
% 174.02/27.31  | | | | | | | | 
% 174.02/27.31  | | | | | | | | BETA: splitting (5) gives:
% 174.02/27.31  | | | | | | | | 
% 174.02/27.31  | | | | | | | | Case 1:
% 174.02/27.31  | | | | | | | | | 
% 174.02/27.31  | | | | | | | | |   (75)  all_58_30 = e1
% 174.02/27.31  | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | REF_CLOSE: (11), (59), (75) are inconsistent by sub-proof
% 174.02/27.31  | | | | | | | | |            #552.
% 174.02/27.31  | | | | | | | | | 
% 174.02/27.31  | | | | | | | | Case 2:
% 174.02/27.31  | | | | | | | | | 
% 174.02/27.31  | | | | | | | | |   (76)   ~ (all_58_30 = e1)
% 174.02/27.31  | | | | | | | | |   (77)  all_58_28 = e3 | all_58_29 = e2
% 174.02/27.31  | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | BETA: splitting (77) gives:
% 174.02/27.31  | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | Case 1:
% 174.02/27.31  | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | |   (78)  all_58_29 = e2
% 174.02/27.31  | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | COMBINE_EQS: (22), (78) imply:
% 174.02/27.31  | | | | | | | | | |   (79)  all_52_13 = e2
% 174.02/27.31  | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | SIMP: (79) implies:
% 174.02/27.31  | | | | | | | | | |   (80)  all_52_13 = e2
% 174.02/27.31  | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | COMBINE_EQS: (21), (80) imply:
% 174.02/27.31  | | | | | | | | | |   (81)  all_58_5 = e2
% 174.02/27.31  | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | REDUCE: (18), (80) imply:
% 174.02/27.31  | | | | | | | | | |   (82)   ~ (all_52_14 = e2)
% 174.02/27.31  | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | SIMP: (82) implies:
% 174.02/27.31  | | | | | | | | | |   (83)   ~ (all_52_14 = e2)
% 174.02/27.31  | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | BETA: splitting (34) gives:
% 174.02/27.31  | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | Case 1:
% 174.02/27.31  | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | |   (84)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~
% 174.02/27.31  | | | | | | | | | | |           (all_58_2 = e1) &  ~ (all_58_3 = e0)) | ( ~
% 174.02/27.31  | | | | | | | | | | |           (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 174.02/27.31  | | | | | | | | | | |           (all_58_6 = e1) &  ~ (all_58_7 = e0))
% 174.02/27.31  | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | BETA: splitting (84) gives:
% 174.02/27.31  | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | Case 1:
% 174.02/27.31  | | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | |   (85)   ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~
% 174.02/27.31  | | | | | | | | | | | |         (all_58_2 = e1) &  ~ (all_58_3 = e0)
% 174.02/27.31  | | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | | ALPHA: (85) implies:
% 174.02/27.31  | | | | | | | | | | | |   (86)   ~ (all_58_3 = e0)
% 174.02/27.31  | | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | | REDUCE: (2), (86) imply:
% 174.02/27.31  | | | | | | | | | | | |   (87)  $false
% 174.02/27.31  | | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | | CLOSE: (87) is inconsistent.
% 174.02/27.31  | | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | Case 2:
% 174.02/27.31  | | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | |   (88)   ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 174.02/27.31  | | | | | | | | | | | |         (all_58_6 = e1) &  ~ (all_58_7 = e0)
% 174.02/27.31  | | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | | ALPHA: (88) implies:
% 174.02/27.31  | | | | | | | | | | | |   (89)   ~ (all_58_5 = e2)
% 174.02/27.31  | | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | | REDUCE: (81), (89) imply:
% 174.02/27.31  | | | | | | | | | | | |   (90)  $false
% 174.02/27.31  | | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | | CLOSE: (90) is inconsistent.
% 174.02/27.31  | | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | End of split
% 174.02/27.31  | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | Case 2:
% 174.02/27.31  | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | |   (91)  ( ~ (all_58_8 = e3) &  ~ (all_58_9 = e2) &  ~
% 174.02/27.31  | | | | | | | | | | |           (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 174.02/27.31  | | | | | | | | | | |           (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~
% 174.02/27.31  | | | | | | | | | | |           (all_58_14 = e1) &  ~ (all_58_15 = e0))
% 174.02/27.31  | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | BETA: splitting (91) gives:
% 174.02/27.31  | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | Case 1:
% 174.02/27.31  | | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | |   (92)   ~ (all_58_8 = e3) &  ~ (all_58_9 = e2) &  ~
% 174.02/27.31  | | | | | | | | | | | |         (all_58_10 = e1) &  ~ (all_58_11 = e0)
% 174.02/27.31  | | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | | ALPHA: (92) implies:
% 174.02/27.31  | | | | | | | | | | | |   (93)   ~ (all_58_8 = e3)
% 174.02/27.31  | | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | | REDUCE: (10), (93) imply:
% 174.02/27.31  | | | | | | | | | | | |   (94)   ~ (all_52_14 = e3)
% 174.02/27.31  | | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | | BETA: splitting (36) gives:
% 174.02/27.31  | | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | | Case 1:
% 174.02/27.31  | | | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | | |   (95)  all_54_11 = e1
% 174.02/27.31  | | | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | | | REF_CLOSE: (35), (59), (95) are inconsistent by sub-proof
% 174.02/27.31  | | | | | | | | | | | | |            #929.
% 174.02/27.31  | | | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | | Case 2:
% 174.02/27.31  | | | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | | |   (96)  all_54_11 = e3 | all_54_11 = e2
% 174.02/27.31  | | | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | | | REF_CLOSE: (35), (83), (94), (96) are inconsistent by
% 174.02/27.31  | | | | | | | | | | | | |            sub-proof #584.
% 174.02/27.31  | | | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | | End of split
% 174.02/27.31  | | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | Case 2:
% 174.02/27.31  | | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | |   (97)   ~ (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~
% 174.02/27.31  | | | | | | | | | | | |         (all_58_14 = e1) &  ~ (all_58_15 = e0)
% 174.02/27.31  | | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | | ALPHA: (97) implies:
% 174.02/27.31  | | | | | | | | | | | |   (98)   ~ (all_58_14 = e1)
% 174.02/27.31  | | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | | REDUCE: (73), (98) imply:
% 174.02/27.31  | | | | | | | | | | | |   (99)  $false
% 174.02/27.31  | | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | | CLOSE: (99) is inconsistent.
% 174.02/27.31  | | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | | End of split
% 174.02/27.31  | | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | End of split
% 174.02/27.31  | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | Case 2:
% 174.02/27.31  | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | |   (100)  all_58_28 = e3
% 174.02/27.31  | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | COMBINE_EQS: (16), (100) imply:
% 174.02/27.31  | | | | | | | | | |   (101)  e3 = e0
% 174.02/27.31  | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | | REF_CLOSE: (6), (13), (29), (40), (45), (101) are
% 174.02/27.31  | | | | | | | | | |            inconsistent by sub-proof #566.
% 174.02/27.31  | | | | | | | | | | 
% 174.02/27.31  | | | | | | | | | End of split
% 174.02/27.31  | | | | | | | | | 
% 174.02/27.31  | | | | | | | | End of split
% 174.02/27.31  | | | | | | | | 
% 174.02/27.31  | | | | | | | End of split
% 174.02/27.31  | | | | | | | 
% 174.02/27.31  | | | | | | End of split
% 174.02/27.31  | | | | | | 
% 174.02/27.31  | | | | | End of split
% 174.02/27.31  | | | | | 
% 174.02/27.31  | | | | Case 2:
% 174.02/27.31  | | | | | 
% 174.02/27.31  | | | | |   (102)  all_58_20 = e3 | all_58_21 = e2
% 174.02/27.31  | | | | | 
% 174.02/27.31  | | | | | REF_CLOSE: (12), (25), (44), (54), (102) are inconsistent by sub-proof
% 174.02/27.31  | | | | |            #720.
% 174.02/27.31  | | | | | 
% 174.02/27.31  | | | | End of split
% 174.02/27.31  | | | | 
% 174.02/27.31  | | | Case 2:
% 174.02/27.31  | | | | 
% 174.02/27.31  | | | |   (103)  all_54_12 = e3
% 174.02/27.31  | | | | 
% 174.02/27.31  | | | | REF_CLOSE: (31), (43), (103) are inconsistent by sub-proof #810.
% 174.02/27.31  | | | | 
% 174.02/27.31  | | | End of split
% 174.02/27.31  | | | 
% 174.02/27.31  | | End of split
% 174.02/27.31  | | 
% 174.02/27.31  | End of split
% 174.02/27.31  | 
% 174.02/27.31  End of proof
% 174.02/27.31  
% 174.02/27.31  Sub-proof #552 shows that the following formulas are inconsistent:
% 174.02/27.31  ----------------------------------------------------------------
% 174.02/27.31    (1)  all_58_30 = all_52_14
% 174.02/27.31    (2)  all_58_30 = e1
% 174.02/27.31    (3)   ~ (all_52_14 = e1)
% 174.02/27.31  
% 174.02/27.31  Begin of proof
% 174.02/27.31  | 
% 174.02/27.31  | COMBINE_EQS: (1), (2) imply:
% 174.02/27.31  |   (4)  all_52_14 = e1
% 174.02/27.31  | 
% 174.02/27.31  | SIMP: (4) implies:
% 174.02/27.31  |   (5)  all_52_14 = e1
% 174.02/27.31  | 
% 174.02/27.31  | REDUCE: (3), (5) imply:
% 174.02/27.31  |   (6)  $false
% 174.02/27.31  | 
% 174.02/27.31  | CLOSE: (6) is inconsistent.
% 174.02/27.31  | 
% 174.02/27.31  End of proof
% 174.02/27.31  
% 174.02/27.31  Sub-proof #553 shows that the following formulas are inconsistent:
% 174.02/27.31  ----------------------------------------------------------------
% 174.02/27.31    (1)   ~ (e3 = e1)
% 174.02/27.31    (2)  all_58_19 = e3
% 174.02/27.31    (3)  all_58_16 = e1
% 174.02/27.31    (4)  all_58_16 = e3 | all_58_17 = e2
% 174.02/27.31    (5)  all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0
% 174.02/27.31    (6)   ~ (e2 = e0)
% 174.02/27.31  
% 174.02/27.31  Begin of proof
% 174.02/27.31  | 
% 174.02/27.31  | ALPHA: (5) implies:
% 174.02/27.31  |   (7)  all_58_19 = e0
% 174.02/27.31  |   (8)  all_58_17 = e3
% 174.02/27.31  | 
% 174.02/27.31  | COMBINE_EQS: (2), (7) imply:
% 174.02/27.31  |   (9)  e3 = e0
% 174.02/27.31  | 
% 174.02/27.31  | COMBINE_EQS: (8), (9) imply:
% 174.02/27.31  |   (10)  all_58_17 = e0
% 174.02/27.31  | 
% 174.02/27.31  | REF_CLOSE: (1), (3), (4), (6), (10) are inconsistent by sub-proof #980.
% 174.02/27.31  | 
% 174.02/27.31  End of proof
% 174.02/27.31  
% 174.02/27.31  Sub-proof #554 shows that the following formulas are inconsistent:
% 174.02/27.31  ----------------------------------------------------------------
% 174.02/27.31    (1)   ~ (e3 = e1)
% 174.02/27.31    (2)  all_58_17 = e3
% 174.02/27.31    (3)  e3 = e2
% 174.02/27.31    (4)  all_58_16 = e1
% 174.02/27.31    (5)  all_58_16 = e3 | all_58_17 = e2
% 174.02/27.31    (6)   ~ (e2 = e0)
% 174.02/27.31    (7)  e2 = e0
% 174.02/27.31  
% 174.02/27.31  Begin of proof
% 174.02/27.31  | 
% 174.02/27.31  | COMBINE_EQS: (3), (7) imply:
% 174.02/27.31  |   (8)  e3 = e0
% 174.02/27.31  | 
% 174.02/27.31  | COMBINE_EQS: (2), (8) imply:
% 174.02/27.31  |   (9)  all_58_17 = e0
% 174.02/27.31  | 
% 174.02/27.31  | REF_CLOSE: (1), (4), (5), (6), (9) are inconsistent by sub-proof #980.
% 174.02/27.31  | 
% 174.02/27.31  End of proof
% 174.02/27.31  
% 174.02/27.31  Sub-proof #555 shows that the following formulas are inconsistent:
% 174.02/27.31  ----------------------------------------------------------------
% 174.02/27.31    (1)   ~ (e3 = e1)
% 174.02/27.31    (2)  all_58_21 = e0
% 174.02/27.31    (3)  all_58_21 = e2
% 174.02/27.31    (4)  all_58_16 = e1
% 174.02/27.31    (5)  all_58_17 = e2
% 174.02/27.31    (6)  all_58_16 = e3 | all_58_17 = e2
% 174.02/27.31    (7)   ~ (e2 = e0)
% 174.02/27.31  
% 174.02/27.31  Begin of proof
% 174.02/27.31  | 
% 174.02/27.31  | COMBINE_EQS: (2), (3) imply:
% 174.02/27.31  |   (8)  e2 = e0
% 174.02/27.31  | 
% 174.02/27.31  | COMBINE_EQS: (5), (8) imply:
% 174.02/27.31  |   (9)  all_58_17 = e0
% 174.02/27.31  | 
% 174.02/27.31  | REF_CLOSE: (1), (4), (6), (7), (9) are inconsistent by sub-proof #980.
% 174.02/27.31  | 
% 174.02/27.31  End of proof
% 174.02/27.31  
% 174.02/27.31  Sub-proof #556 shows that the following formulas are inconsistent:
% 174.02/27.31  ----------------------------------------------------------------
% 174.02/27.31    (1)   ~ (e3 = e1)
% 174.02/27.31    (2)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.02/27.31    (3)  all_56_12 = e1
% 174.02/27.31    (4)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 174.02/27.31    (5)  all_58_18 = e0
% 174.02/27.31    (6)  all_58_17 = all_52_1
% 174.02/27.31    (7)   ~ (e3 = e2)
% 174.02/27.31    (8)  all_58_16 = e2
% 174.02/27.31    (9)  all_56_2 = all_52_1
% 174.02/27.31    (10)   ~ (e3 = e0)
% 174.02/27.31    (11)  all_56_0 = e2
% 174.02/27.31    (12)  all_56_6 = e0
% 174.02/27.31    (13)   ~ (all_52_1 = e2)
% 174.02/27.31    (14)   ~ (e1 = e0)
% 174.02/27.31  
% 174.02/27.31  Begin of proof
% 174.02/27.31  | 
% 174.02/27.31  | BETA: splitting (4) gives:
% 174.02/27.31  | 
% 174.02/27.31  | Case 1:
% 174.02/27.31  | | 
% 174.02/27.31  | |   (15)  all_56_0 = e3
% 174.02/27.31  | | 
% 174.02/27.31  | | REF_CLOSE: (7), (11), (15) are inconsistent by sub-proof #735.
% 174.02/27.31  | | 
% 174.02/27.31  | Case 2:
% 174.02/27.31  | | 
% 174.02/27.31  | |   (16)  all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 174.02/27.31  | | 
% 174.02/27.31  | | BETA: splitting (16) gives:
% 174.02/27.31  | | 
% 174.02/27.31  | | Case 1:
% 174.02/27.31  | | | 
% 174.02/27.31  | | |   (17)  all_56_2 = e3
% 174.02/27.31  | | | 
% 174.02/27.31  | | | COMBINE_EQS: (9), (17) imply:
% 174.02/27.31  | | |   (18)  all_52_1 = e3
% 174.02/27.31  | | | 
% 174.02/27.31  | | | COMBINE_EQS: (6), (18) imply:
% 174.02/27.31  | | |   (19)  all_58_17 = e3
% 174.02/27.31  | | | 
% 174.02/27.31  | | | REF_CLOSE: (2), (5), (7), (8), (14), (19) are inconsistent by sub-proof
% 174.02/27.31  | | |            #828.
% 174.02/27.31  | | | 
% 174.02/27.31  | | Case 2:
% 174.02/27.31  | | | 
% 174.02/27.31  | | |   (20)  all_56_6 = e3 | all_56_12 = e3
% 174.02/27.31  | | | 
% 174.02/27.31  | | | REF_CLOSE: (1), (3), (10), (12), (20) are inconsistent by sub-proof #557.
% 174.02/27.31  | | | 
% 174.02/27.31  | | End of split
% 174.02/27.31  | | 
% 174.02/27.31  | End of split
% 174.02/27.31  | 
% 174.02/27.31  End of proof
% 174.02/27.31  
% 174.02/27.31  Sub-proof #557 shows that the following formulas are inconsistent:
% 174.02/27.31  ----------------------------------------------------------------
% 174.02/27.31    (1)   ~ (e3 = e1)
% 174.02/27.31    (2)  all_56_12 = e1
% 174.02/27.31    (3)  all_56_6 = e3 | all_56_12 = e3
% 174.02/27.31    (4)   ~ (e3 = e0)
% 174.02/27.31    (5)  all_56_6 = e0
% 174.02/27.31  
% 174.02/27.31  Begin of proof
% 174.02/27.31  | 
% 174.02/27.31  | BETA: splitting (3) gives:
% 174.02/27.31  | 
% 174.02/27.31  | Case 1:
% 174.02/27.31  | | 
% 174.02/27.31  | |   (6)  all_56_6 = e3
% 174.02/27.31  | | 
% 174.02/27.31  | | REF_CLOSE: (4), (5), (6) are inconsistent by sub-proof #574.
% 174.02/27.31  | | 
% 174.02/27.31  | Case 2:
% 174.02/27.31  | | 
% 174.02/27.31  | |   (7)  all_56_12 = e3
% 174.02/27.31  | | 
% 174.02/27.31  | | COMBINE_EQS: (2), (7) imply:
% 174.02/27.31  | |   (8)  e3 = e1
% 174.02/27.31  | | 
% 174.02/27.31  | | REDUCE: (1), (8) imply:
% 174.02/27.31  | |   (9)  $false
% 174.02/27.31  | | 
% 174.02/27.31  | | CLOSE: (9) is inconsistent.
% 174.02/27.31  | | 
% 174.02/27.31  | End of split
% 174.02/27.31  | 
% 174.02/27.31  End of proof
% 174.02/27.31  
% 174.02/27.31  Sub-proof #558 shows that the following formulas are inconsistent:
% 174.02/27.31  ----------------------------------------------------------------
% 174.02/27.31    (1)  all_54_11 = all_52_14
% 174.02/27.31    (2)  all_54_11 = e0
% 174.02/27.31    (3)   ~ (all_52_14 = e0)
% 174.02/27.31  
% 174.02/27.31  Begin of proof
% 174.02/27.31  | 
% 174.02/27.31  | COMBINE_EQS: (1), (2) imply:
% 174.02/27.31  |   (4)  all_52_14 = e0
% 174.02/27.31  | 
% 174.02/27.31  | SIMP: (4) implies:
% 174.02/27.31  |   (5)  all_52_14 = e0
% 174.02/27.31  | 
% 174.02/27.31  | REDUCE: (3), (5) imply:
% 174.02/27.31  |   (6)  $false
% 174.02/27.31  | 
% 174.02/27.31  | CLOSE: (6) is inconsistent.
% 174.02/27.31  | 
% 174.02/27.31  End of proof
% 174.02/27.31  
% 174.02/27.31  Sub-proof #559 shows that the following formulas are inconsistent:
% 174.02/27.31  ----------------------------------------------------------------
% 174.02/27.31    (1)  all_54_12 = all_52_3
% 174.02/27.31    (2)  all_54_12 = e0
% 174.02/27.31    (3)   ~ (all_52_3 = e0)
% 174.02/27.31  
% 174.02/27.31  Begin of proof
% 174.02/27.31  | 
% 174.02/27.31  | COMBINE_EQS: (1), (2) imply:
% 174.02/27.31  |   (4)  all_52_3 = e0
% 174.02/27.31  | 
% 174.02/27.31  | SIMP: (4) implies:
% 174.02/27.31  |   (5)  all_52_3 = e0
% 174.02/27.31  | 
% 174.02/27.31  | REDUCE: (3), (5) imply:
% 174.02/27.31  |   (6)  $false
% 174.02/27.31  | 
% 174.02/27.31  | CLOSE: (6) is inconsistent.
% 174.02/27.31  | 
% 174.02/27.31  End of proof
% 174.02/27.31  
% 174.02/27.31  Sub-proof #560 shows that the following formulas are inconsistent:
% 174.02/27.31  ----------------------------------------------------------------
% 174.02/27.31    (1)  all_56_1 = all_52_4
% 174.02/27.31    (2)  all_56_1 = e0
% 174.02/27.31    (3)   ~ (all_52_4 = e0)
% 174.02/27.31  
% 174.02/27.31  Begin of proof
% 174.02/27.31  | 
% 174.02/27.31  | COMBINE_EQS: (1), (2) imply:
% 174.02/27.31  |   (4)  all_52_4 = e0
% 174.02/27.31  | 
% 174.02/27.31  | SIMP: (4) implies:
% 174.02/27.31  |   (5)  all_52_4 = e0
% 174.02/27.31  | 
% 174.02/27.31  | REDUCE: (3), (5) imply:
% 174.02/27.31  |   (6)  $false
% 174.02/27.31  | 
% 174.02/27.31  | CLOSE: (6) is inconsistent.
% 174.02/27.31  | 
% 174.02/27.31  End of proof
% 174.02/27.31  
% 174.02/27.31  Sub-proof #561 shows that the following formulas are inconsistent:
% 174.02/27.31  ----------------------------------------------------------------
% 174.02/27.31    (1)  all_56_12 = all_52_3
% 174.02/27.31    (2)  all_56_0 = all_6_2
% 174.02/27.31    (3)  all_56_2 = all_52_1
% 174.02/27.31    (4)   ~ (all_6_2 = e0)
% 174.02/27.31    (5)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 174.02/27.31    (6)  all_56_6 = all_52_2
% 174.02/27.31    (7)   ~ (all_56_6 = e0)
% 174.02/27.31    (8)   ~ (all_52_1 = e0)
% 174.02/27.31    (9)   ~ (all_52_3 = e0)
% 174.02/27.31  
% 174.02/27.31  Begin of proof
% 174.02/27.31  | 
% 174.02/27.31  | REDUCE: (6), (7) imply:
% 174.02/27.31  |   (10)   ~ (all_52_2 = e0)
% 174.02/27.31  | 
% 174.02/27.31  | BETA: splitting (5) gives:
% 174.02/27.31  | 
% 174.02/27.31  | Case 1:
% 174.02/27.31  | | 
% 174.02/27.31  | |   (11)  all_56_0 = e0
% 174.02/27.31  | | 
% 174.02/27.31  | | COMBINE_EQS: (2), (11) imply:
% 174.02/27.31  | |   (12)  all_6_2 = e0
% 174.02/27.31  | | 
% 174.02/27.31  | | REDUCE: (4), (12) imply:
% 174.02/27.31  | |   (13)  $false
% 174.02/27.31  | | 
% 174.02/27.31  | | CLOSE: (13) is inconsistent.
% 174.02/27.31  | | 
% 174.02/27.31  | Case 2:
% 174.02/27.31  | | 
% 174.02/27.31  | |   (14)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 174.02/27.31  | | 
% 174.02/27.31  | | REF_CLOSE: (1), (3), (6), (8), (9), (10), (14) are inconsistent by sub-proof
% 174.02/27.31  | |            #917.
% 174.02/27.31  | | 
% 174.02/27.31  | End of split
% 174.02/27.31  | 
% 174.02/27.31  End of proof
% 174.02/27.31  
% 174.02/27.31  Sub-proof #562 shows that the following formulas are inconsistent:
% 174.02/27.31  ----------------------------------------------------------------
% 174.02/27.31    (1)  all_56_1 = all_52_4
% 174.02/27.31    (2)   ~ (all_52_4 = e0)
% 174.02/27.31    (3)  all_56_9 = all_52_12
% 174.02/27.31    (4)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 174.02/27.31    (5)   ~ (all_52_12 = e0)
% 174.02/27.31    (6)  all_56_4 = all_52_8
% 174.02/27.31    (7)   ~ (all_52_8 = e0)
% 174.02/27.31  
% 174.02/27.31  Begin of proof
% 174.02/27.31  | 
% 174.02/27.31  | BETA: splitting (4) gives:
% 174.02/27.31  | 
% 174.02/27.31  | Case 1:
% 174.02/27.31  | | 
% 174.02/27.31  | |   (8)  all_56_1 = e0
% 174.02/27.31  | | 
% 174.02/27.31  | | COMBINE_EQS: (1), (8) imply:
% 174.02/27.31  | |   (9)  all_52_4 = e0
% 174.02/27.31  | | 
% 174.02/27.31  | | REDUCE: (2), (9) imply:
% 174.02/27.31  | |   (10)  $false
% 174.02/27.31  | | 
% 174.02/27.31  | | CLOSE: (10) is inconsistent.
% 174.02/27.31  | | 
% 174.02/27.31  | Case 2:
% 174.02/27.31  | | 
% 174.02/27.31  | |   (11)  all_56_4 = e0 | all_56_9 = e0
% 174.02/27.31  | | 
% 174.02/27.31  | | REF_CLOSE: (3), (5), (6), (7), (11) are inconsistent by sub-proof #563.
% 174.02/27.31  | | 
% 174.02/27.31  | End of split
% 174.02/27.31  | 
% 174.02/27.31  End of proof
% 174.02/27.31  
% 174.02/27.31  Sub-proof #563 shows that the following formulas are inconsistent:
% 174.02/27.31  ----------------------------------------------------------------
% 174.02/27.31    (1)  all_56_9 = all_52_12
% 174.02/27.31    (2)   ~ (all_52_12 = e0)
% 174.02/27.31    (3)  all_56_4 = all_52_8
% 174.02/27.31    (4)  all_56_4 = e0 | all_56_9 = e0
% 174.02/27.31    (5)   ~ (all_52_8 = e0)
% 174.02/27.31  
% 174.02/27.31  Begin of proof
% 174.02/27.31  | 
% 174.02/27.31  | BETA: splitting (4) gives:
% 174.02/27.31  | 
% 174.02/27.31  | Case 1:
% 174.02/27.31  | | 
% 174.02/27.31  | |   (6)  all_56_4 = e0
% 174.02/27.31  | | 
% 174.02/27.31  | | REF_CLOSE: (3), (5), (6) are inconsistent by sub-proof #564.
% 174.02/27.31  | | 
% 174.02/27.31  | Case 2:
% 174.02/27.31  | | 
% 174.02/27.31  | |   (7)  all_56_9 = e0
% 174.02/27.31  | | 
% 174.02/27.31  | | REF_CLOSE: (1), (2), (7) are inconsistent by sub-proof #908.
% 174.02/27.31  | | 
% 174.02/27.31  | End of split
% 174.02/27.31  | 
% 174.02/27.31  End of proof
% 174.02/27.31  
% 174.02/27.31  Sub-proof #564 shows that the following formulas are inconsistent:
% 174.02/27.31  ----------------------------------------------------------------
% 174.02/27.31    (1)  all_56_4 = all_52_8
% 174.02/27.31    (2)  all_56_4 = e0
% 174.02/27.31    (3)   ~ (all_52_8 = e0)
% 174.02/27.31  
% 174.02/27.31  Begin of proof
% 174.02/27.31  | 
% 174.02/27.31  | COMBINE_EQS: (1), (2) imply:
% 174.02/27.31  |   (4)  all_52_8 = e0
% 174.02/27.31  | 
% 174.02/27.31  | SIMP: (4) implies:
% 174.02/27.31  |   (5)  all_52_8 = e0
% 174.02/27.31  | 
% 174.02/27.31  | REDUCE: (3), (5) imply:
% 174.02/27.31  |   (6)  $false
% 174.02/27.31  | 
% 174.02/27.31  | CLOSE: (6) is inconsistent.
% 174.02/27.31  | 
% 174.02/27.31  End of proof
% 174.02/27.31  
% 174.02/27.31  Sub-proof #565 shows that the following formulas are inconsistent:
% 174.02/27.31  ----------------------------------------------------------------
% 174.02/27.31    (1)  all_24_0 = all_4_0
% 174.02/27.31    (2)   ~ (all_24_0 = e1) |  ~ (all_24_1 = e3)
% 174.02/27.31    (3)  op(e3, e0) = e1
% 174.02/27.31    (4)  op(e3, e0) = all_4_0
% 174.02/27.31    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.02/27.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.02/27.31    (6)  all_24_1 = e3
% 174.02/27.31  
% 174.02/27.31  Begin of proof
% 174.02/27.31  | 
% 174.02/27.31  | BETA: splitting (2) gives:
% 174.02/27.31  | 
% 174.02/27.31  | Case 1:
% 174.02/27.31  | | 
% 174.02/27.31  | |   (7)   ~ (all_24_0 = e1)
% 174.02/27.31  | | 
% 174.02/27.31  | | REDUCE: (1), (7) imply:
% 174.02/27.31  | |   (8)   ~ (all_4_0 = e1)
% 174.02/27.31  | | 
% 174.02/27.31  | | GROUND_INST: instantiating (5) with e1, all_4_0, e0, e3, simplifying with
% 174.02/27.31  | |              (3), (4) gives:
% 174.02/27.31  | |   (9)  all_4_0 = e1
% 174.02/27.31  | | 
% 174.02/27.31  | | REDUCE: (8), (9) imply:
% 174.02/27.31  | |   (10)  $false
% 174.02/27.31  | | 
% 174.02/27.31  | | CLOSE: (10) is inconsistent.
% 174.02/27.31  | | 
% 174.02/27.31  | Case 2:
% 174.02/27.31  | | 
% 174.02/27.31  | |   (11)   ~ (all_24_1 = e3)
% 174.02/27.31  | | 
% 174.02/27.31  | | REDUCE: (6), (11) imply:
% 174.02/27.31  | |   (12)  $false
% 174.02/27.31  | | 
% 174.02/27.31  | | CLOSE: (12) is inconsistent.
% 174.02/27.31  | | 
% 174.02/27.31  | End of split
% 174.02/27.31  | 
% 174.02/27.31  End of proof
% 174.02/27.31  
% 174.02/27.31  Sub-proof #566 shows that the following formulas are inconsistent:
% 174.02/27.31  ----------------------------------------------------------------
% 174.02/27.31    (1)  all_58_17 = e1
% 174.02/27.31    (2)   ~ (e2 = e1)
% 174.02/27.31    (3)  all_58_16 = e3
% 174.02/27.31    (4)   ~ (e3 = e0)
% 174.02/27.31    (5)  all_58_16 = e3 | all_58_17 = e2
% 174.02/27.31    (6)  e3 = e0
% 174.02/27.31  
% 174.02/27.31  Begin of proof
% 174.02/27.31  | 
% 174.02/27.31  | SIMP: (6) implies:
% 174.02/27.31  |   (7)  e3 = e0
% 174.02/27.31  | 
% 174.02/27.31  | COMBINE_EQS: (3), (7) imply:
% 174.02/27.31  |   (8)  all_58_16 = e0
% 174.02/27.31  | 
% 174.02/27.31  | REF_CLOSE: (1), (2), (4), (5), (8) are inconsistent by sub-proof #635.
% 174.02/27.31  | 
% 174.02/27.31  End of proof
% 174.02/27.31  
% 174.02/27.31  Sub-proof #567 shows that the following formulas are inconsistent:
% 174.02/27.31  ----------------------------------------------------------------
% 174.02/27.31    (1)  all_56_1 = all_52_4
% 174.02/27.31    (2)  all_56_1 = e3
% 174.02/27.31    (3)   ~ (all_52_4 = e3)
% 174.02/27.31  
% 174.02/27.31  Begin of proof
% 174.02/27.31  | 
% 174.02/27.31  | COMBINE_EQS: (1), (2) imply:
% 174.02/27.31  |   (4)  all_52_4 = e3
% 174.02/27.31  | 
% 174.02/27.31  | SIMP: (4) implies:
% 174.02/27.31  |   (5)  all_52_4 = e3
% 174.02/27.31  | 
% 174.02/27.31  | REDUCE: (3), (5) imply:
% 174.02/27.31  |   (6)  $false
% 174.02/27.31  | 
% 174.02/27.31  | CLOSE: (6) is inconsistent.
% 174.02/27.31  | 
% 174.02/27.31  End of proof
% 174.02/27.31  
% 174.02/27.31  Sub-proof #568 shows that the following formulas are inconsistent:
% 174.02/27.31  ----------------------------------------------------------------
% 174.02/27.31    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.02/27.31    (2)  all_56_8 = e1
% 174.02/27.31    (3)   ~ (e3 = e1)
% 174.02/27.31    (4)  op(e1, e0) = all_52_14
% 174.02/27.31    (5)   ~ (all_52_6 = e1)
% 174.02/27.31    (6)  all_56_13 = all_4_1
% 174.02/27.31    (7)  all_56_1 = e3
% 174.02/27.31    (8)  all_56_11 = all_52_14
% 174.02/27.31    (9)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 174.02/27.31    (10)  all_58_21 = e0
% 174.02/27.31    (11)   ~ (e2 = e1)
% 174.02/27.31    (12)   ~ (all_52_14 = e1)
% 174.02/27.31    (13)  all_56_7 = e2 | all_56_13 = e2
% 174.02/27.31    (14)   ~ (all_40_0 = e3) |  ~ (all_40_1 = e1)
% 174.02/27.31    (15)  all_54_13 = all_4_1
% 174.02/27.31    (16)  all_58_20 = e3
% 174.02/27.31    (17)  all_56_8 = e3 | all_56_11 = e3
% 174.02/27.31    (18)  all_56_3 = e0
% 174.02/27.31    (19)  all_58_22 = all_52_6
% 174.02/27.31    (20)   ~ (all_4_1 = e2)
% 174.02/27.31    (21)  all_40_0 = all_4_0
% 174.02/27.31    (22)  op(all_4_1, e0) = all_4_0
% 174.02/27.31    (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.02/27.31            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.02/27.31    (24)  all_40_1 = all_4_1
% 174.02/27.31    (25)   ~ (e2 = e0)
% 174.02/27.31    (26)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 174.02/27.31    (27)   ~ (e1 = e0)
% 174.02/27.31  
% 174.02/27.31  Begin of proof
% 174.02/27.31  | 
% 174.02/27.31  | BETA: splitting (17) gives:
% 174.02/27.31  | 
% 174.02/27.31  | Case 1:
% 174.02/27.31  | | 
% 174.02/27.31  | |   (28)  all_56_8 = e3
% 174.02/27.31  | | 
% 174.02/27.31  | | COMBINE_EQS: (2), (28) imply:
% 174.02/27.31  | |   (29)  e3 = e1
% 174.02/27.31  | | 
% 174.02/27.31  | | SIMP: (29) implies:
% 174.02/27.31  | |   (30)  e3 = e1
% 174.02/27.31  | | 
% 174.02/27.31  | | COMBINE_EQS: (16), (30) imply:
% 174.02/27.31  | |   (31)  all_58_20 = e1
% 174.02/27.31  | | 
% 174.02/27.31  | | REF_CLOSE: (1), (3), (5), (10), (19), (25), (31) are inconsistent by
% 174.02/27.31  | |            sub-proof #675.
% 174.02/27.31  | | 
% 174.02/27.31  | Case 2:
% 174.02/27.31  | | 
% 174.02/27.31  | |   (32)  all_56_11 = e3
% 174.02/27.31  | | 
% 174.02/27.31  | | COMBINE_EQS: (8), (32) imply:
% 174.02/27.31  | |   (33)  all_52_14 = e3
% 174.02/27.31  | | 
% 174.02/27.31  | | REDUCE: (4), (33) imply:
% 174.02/27.31  | |   (34)  op(e1, e0) = e3
% 174.02/27.31  | | 
% 174.02/27.31  | | BETA: splitting (9) gives:
% 174.02/27.31  | | 
% 174.02/27.31  | | Case 1:
% 174.02/27.31  | | | 
% 174.02/27.31  | | |   (35)  all_54_13 = e1
% 174.02/27.31  | | | 
% 174.02/27.31  | | | COMBINE_EQS: (15), (35) imply:
% 174.02/27.31  | | |   (36)  all_4_1 = e1
% 174.02/27.31  | | | 
% 174.02/27.31  | | | SIMP: (36) implies:
% 174.02/27.32  | | |   (37)  all_4_1 = e1
% 174.02/27.32  | | | 
% 174.02/27.32  | | | COMBINE_EQS: (24), (37) imply:
% 174.02/27.32  | | |   (38)  all_40_1 = e1
% 174.02/27.32  | | | 
% 174.02/27.32  | | | REDUCE: (22), (37) imply:
% 174.02/27.32  | | |   (39)  op(e1, e0) = all_4_0
% 174.02/27.32  | | | 
% 174.02/27.32  | | | BETA: splitting (14) gives:
% 174.02/27.32  | | | 
% 174.02/27.32  | | | Case 1:
% 174.02/27.32  | | | | 
% 174.02/27.32  | | | |   (40)   ~ (all_40_1 = e1)
% 174.02/27.32  | | | | 
% 174.02/27.32  | | | | REDUCE: (38), (40) imply:
% 174.02/27.32  | | | |   (41)  $false
% 174.02/27.32  | | | | 
% 174.02/27.32  | | | | CLOSE: (41) is inconsistent.
% 174.02/27.32  | | | | 
% 174.02/27.32  | | | Case 2:
% 174.02/27.32  | | | | 
% 174.02/27.32  | | | |   (42)   ~ (all_40_0 = e3)
% 174.02/27.32  | | | | 
% 174.02/27.32  | | | | REDUCE: (21), (42) imply:
% 174.02/27.32  | | | |   (43)   ~ (all_4_0 = e3)
% 174.02/27.32  | | | | 
% 174.02/27.32  | | | | REF_CLOSE: (23), (34), (39), (43) are inconsistent by sub-proof #572.
% 174.02/27.32  | | | | 
% 174.02/27.32  | | | End of split
% 174.02/27.32  | | | 
% 174.02/27.32  | | Case 2:
% 174.02/27.32  | | | 
% 174.02/27.32  | | |   (44)   ~ (all_54_13 = e1)
% 174.02/27.32  | | | 
% 174.02/27.32  | | | REDUCE: (15), (44) imply:
% 174.02/27.32  | | |   (45)   ~ (all_4_1 = e1)
% 174.02/27.32  | | | 
% 174.02/27.32  | | | BETA: splitting (13) gives:
% 174.02/27.32  | | | 
% 174.02/27.32  | | | Case 1:
% 174.02/27.32  | | | | 
% 174.02/27.32  | | | |   (46)  all_56_7 = e2
% 174.02/27.32  | | | | 
% 174.02/27.32  | | | | REF_CLOSE: (3), (6), (7), (11), (18), (26), (27), (45), (46) are
% 174.02/27.32  | | | |            inconsistent by sub-proof #569.
% 174.02/27.32  | | | | 
% 174.02/27.32  | | | Case 2:
% 174.02/27.32  | | | | 
% 174.02/27.32  | | | |   (47)  all_56_13 = e2
% 174.02/27.32  | | | | 
% 174.02/27.32  | | | | COMBINE_EQS: (6), (47) imply:
% 174.02/27.32  | | | |   (48)  all_4_1 = e2
% 174.02/27.32  | | | | 
% 174.02/27.32  | | | | SIMP: (48) implies:
% 174.02/27.32  | | | |   (49)  all_4_1 = e2
% 174.02/27.32  | | | | 
% 174.02/27.32  | | | | REDUCE: (20), (49) imply:
% 174.02/27.32  | | | |   (50)  $false
% 174.02/27.32  | | | | 
% 174.02/27.32  | | | | CLOSE: (50) is inconsistent.
% 174.02/27.32  | | | | 
% 174.02/27.32  | | | End of split
% 174.02/27.32  | | | 
% 174.02/27.32  | | End of split
% 174.02/27.32  | | 
% 174.02/27.32  | End of split
% 174.02/27.32  | 
% 174.02/27.32  End of proof
% 174.02/27.32  
% 174.02/27.32  Sub-proof #569 shows that the following formulas are inconsistent:
% 174.02/27.32  ----------------------------------------------------------------
% 174.02/27.32    (1)   ~ (e3 = e1)
% 174.02/27.32    (2)   ~ (all_4_1 = e1)
% 174.02/27.32    (3)  all_56_13 = all_4_1
% 174.02/27.32    (4)  all_56_1 = e3
% 174.02/27.32    (5)   ~ (e2 = e1)
% 174.02/27.32    (6)  all_56_3 = e0
% 174.02/27.32    (7)  all_56_7 = e2
% 174.02/27.32    (8)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 174.02/27.32    (9)   ~ (e1 = e0)
% 174.02/27.32  
% 174.02/27.32  Begin of proof
% 174.02/27.32  | 
% 174.02/27.32  | BETA: splitting (8) gives:
% 174.02/27.32  | 
% 174.02/27.32  | Case 1:
% 174.02/27.32  | | 
% 174.02/27.32  | |   (10)  all_56_1 = e1
% 174.02/27.32  | | 
% 174.02/27.32  | | COMBINE_EQS: (4), (10) imply:
% 174.02/27.32  | |   (11)  e3 = e1
% 174.02/27.32  | | 
% 174.02/27.32  | | REDUCE: (1), (11) imply:
% 174.02/27.32  | |   (12)  $false
% 174.02/27.32  | | 
% 174.02/27.32  | | CLOSE: (12) is inconsistent.
% 174.02/27.32  | | 
% 174.02/27.32  | Case 2:
% 174.02/27.32  | | 
% 174.02/27.32  | |   (13)  all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 174.02/27.32  | | 
% 174.02/27.32  | | REF_CLOSE: (2), (3), (5), (6), (7), (9), (13) are inconsistent by sub-proof
% 174.02/27.32  | |            #570.
% 174.02/27.32  | | 
% 174.02/27.32  | End of split
% 174.02/27.32  | 
% 174.02/27.32  End of proof
% 174.02/27.32  
% 174.02/27.32  Sub-proof #570 shows that the following formulas are inconsistent:
% 174.02/27.32  ----------------------------------------------------------------
% 174.02/27.32    (1)   ~ (all_4_1 = e1)
% 174.02/27.32    (2)  all_56_13 = all_4_1
% 174.02/27.32    (3)   ~ (e2 = e1)
% 174.02/27.32    (4)  all_56_3 = e0
% 174.02/27.32    (5)  all_56_7 = e2
% 174.02/27.32    (6)  all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 174.02/27.32    (7)   ~ (e1 = e0)
% 174.02/27.32  
% 174.02/27.32  Begin of proof
% 174.02/27.32  | 
% 174.02/27.32  | BETA: splitting (6) gives:
% 174.02/27.32  | 
% 174.02/27.32  | Case 1:
% 174.02/27.32  | | 
% 174.02/27.32  | |   (8)  all_56_3 = e1
% 174.02/27.32  | | 
% 174.02/27.32  | | REF_CLOSE: (4), (7), (8) are inconsistent by sub-proof #571.
% 174.02/27.32  | | 
% 174.02/27.32  | Case 2:
% 174.02/27.32  | | 
% 174.02/27.32  | |   (9)  all_56_7 = e1 | all_56_13 = e1
% 174.02/27.32  | | 
% 174.02/27.32  | | BETA: splitting (9) gives:
% 174.02/27.32  | | 
% 174.02/27.32  | | Case 1:
% 174.02/27.32  | | | 
% 174.02/27.32  | | |   (10)  all_56_7 = e1
% 174.02/27.32  | | | 
% 174.02/27.32  | | | COMBINE_EQS: (5), (10) imply:
% 174.02/27.32  | | |   (11)  e2 = e1
% 174.02/27.32  | | | 
% 174.02/27.32  | | | REDUCE: (3), (11) imply:
% 174.02/27.32  | | |   (12)  $false
% 174.02/27.32  | | | 
% 174.02/27.32  | | | CLOSE: (12) is inconsistent.
% 174.02/27.32  | | | 
% 174.02/27.32  | | Case 2:
% 174.02/27.32  | | | 
% 174.02/27.32  | | |   (13)  all_56_13 = e1
% 174.02/27.32  | | | 
% 174.02/27.32  | | | COMBINE_EQS: (2), (13) imply:
% 174.02/27.32  | | |   (14)  all_4_1 = e1
% 174.02/27.32  | | | 
% 174.02/27.32  | | | SIMP: (14) implies:
% 174.02/27.32  | | |   (15)  all_4_1 = e1
% 174.02/27.32  | | | 
% 174.02/27.32  | | | REDUCE: (1), (15) imply:
% 174.02/27.32  | | |   (16)  $false
% 174.02/27.32  | | | 
% 174.02/27.32  | | | CLOSE: (16) is inconsistent.
% 174.02/27.32  | | | 
% 174.02/27.32  | | End of split
% 174.02/27.32  | | 
% 174.02/27.32  | End of split
% 174.02/27.32  | 
% 174.02/27.32  End of proof
% 174.02/27.32  
% 174.02/27.32  Sub-proof #571 shows that the following formulas are inconsistent:
% 174.02/27.32  ----------------------------------------------------------------
% 174.02/27.32    (1)  all_56_3 = e1
% 174.02/27.32    (2)  all_56_3 = e0
% 174.02/27.32    (3)   ~ (e1 = e0)
% 174.02/27.32  
% 174.02/27.32  Begin of proof
% 174.02/27.32  | 
% 174.02/27.32  | COMBINE_EQS: (1), (2) imply:
% 174.02/27.32  |   (4)  e1 = e0
% 174.02/27.32  | 
% 174.02/27.32  | SIMP: (4) implies:
% 174.02/27.32  |   (5)  e1 = e0
% 174.02/27.32  | 
% 174.02/27.32  | REDUCE: (3), (5) imply:
% 174.02/27.32  |   (6)  $false
% 174.02/27.32  | 
% 174.02/27.32  | CLOSE: (6) is inconsistent.
% 174.02/27.32  | 
% 174.02/27.32  End of proof
% 174.02/27.32  
% 174.02/27.32  Sub-proof #572 shows that the following formulas are inconsistent:
% 174.02/27.32  ----------------------------------------------------------------
% 174.02/27.32    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.02/27.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.02/27.32    (2)  op(e1, e0) = all_4_0
% 174.02/27.32    (3)  op(e1, e0) = e3
% 174.02/27.32    (4)   ~ (all_4_0 = e3)
% 174.02/27.32  
% 174.02/27.32  Begin of proof
% 174.02/27.32  | 
% 174.02/27.32  | GROUND_INST: instantiating (1) with e3, all_4_0, e0, e1, simplifying with (2),
% 174.02/27.32  |              (3) gives:
% 174.02/27.32  |   (5)  all_4_0 = e3
% 174.02/27.32  | 
% 174.02/27.32  | REDUCE: (4), (5) imply:
% 174.02/27.32  |   (6)  $false
% 174.02/27.32  | 
% 174.02/27.32  | CLOSE: (6) is inconsistent.
% 174.02/27.32  | 
% 174.02/27.32  End of proof
% 174.02/27.32  
% 174.02/27.32  Sub-proof #573 shows that the following formulas are inconsistent:
% 174.02/27.32  ----------------------------------------------------------------
% 174.02/27.32    (1)  all_56_1 = e3
% 174.02/27.32    (2)  all_56_1 = e2
% 174.02/27.32    (3)   ~ (e3 = e2)
% 174.02/27.32  
% 174.02/27.32  Begin of proof
% 174.02/27.32  | 
% 174.02/27.32  | COMBINE_EQS: (1), (2) imply:
% 174.02/27.32  |   (4)  e3 = e2
% 174.02/27.32  | 
% 174.02/27.32  | SIMP: (4) implies:
% 174.02/27.32  |   (5)  e3 = e2
% 174.02/27.32  | 
% 174.02/27.32  | REDUCE: (3), (5) imply:
% 174.02/27.32  |   (6)  $false
% 174.02/27.32  | 
% 174.02/27.32  | CLOSE: (6) is inconsistent.
% 174.02/27.32  | 
% 174.02/27.32  End of proof
% 174.02/27.32  
% 174.02/27.32  Sub-proof #574 shows that the following formulas are inconsistent:
% 174.02/27.32  ----------------------------------------------------------------
% 174.02/27.32    (1)  all_56_6 = e3
% 174.02/27.32    (2)  all_56_6 = e0
% 174.02/27.32    (3)   ~ (e3 = e0)
% 174.02/27.32  
% 174.02/27.32  Begin of proof
% 174.02/27.32  | 
% 174.02/27.32  | COMBINE_EQS: (1), (2) imply:
% 174.02/27.32  |   (4)  e3 = e0
% 174.02/27.32  | 
% 174.02/27.32  | SIMP: (4) implies:
% 174.02/27.32  |   (5)  e3 = e0
% 174.02/27.32  | 
% 174.02/27.32  | REDUCE: (3), (5) imply:
% 174.02/27.32  |   (6)  $false
% 174.02/27.32  | 
% 174.02/27.32  | CLOSE: (6) is inconsistent.
% 174.02/27.32  | 
% 174.02/27.32  End of proof
% 174.02/27.32  
% 174.02/27.32  Sub-proof #575 shows that the following formulas are inconsistent:
% 174.02/27.32  ----------------------------------------------------------------
% 174.02/27.32    (1)  all_54_13 = all_4_1
% 174.02/27.32    (2)  all_54_13 = e0
% 174.02/27.32    (3)   ~ (all_4_1 = e0)
% 174.02/27.32  
% 174.02/27.32  Begin of proof
% 174.02/27.32  | 
% 174.02/27.32  | COMBINE_EQS: (1), (2) imply:
% 174.02/27.32  |   (4)  all_4_1 = e0
% 174.02/27.32  | 
% 174.02/27.32  | SIMP: (4) implies:
% 174.02/27.32  |   (5)  all_4_1 = e0
% 174.02/27.32  | 
% 174.02/27.32  | REDUCE: (3), (5) imply:
% 174.02/27.32  |   (6)  $false
% 174.02/27.32  | 
% 174.02/27.32  | CLOSE: (6) is inconsistent.
% 174.02/27.32  | 
% 174.02/27.32  End of proof
% 174.02/27.32  
% 174.02/27.32  Sub-proof #576 shows that the following formulas are inconsistent:
% 174.02/27.32  ----------------------------------------------------------------
% 174.02/27.32    (1)   ~ (all_52_12 = all_14_2)
% 174.02/27.32    (2)  op(e0, e0) = all_14_2
% 174.02/27.32    (3)  all_56_1 = all_52_4
% 174.02/27.32    (4)  all_56_12 = all_52_3
% 174.02/27.32    (5)  all_56_15 = e0 | ((all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 174.02/27.32           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0))
% 174.02/27.32    (6)  op(e1, all_52_14) = all_58_11
% 174.02/27.32    (7)   ~ (all_10_2 = e0)
% 174.02/27.32    (8)   ~ (all_52_8 = all_52_12)
% 174.02/27.32    (9)   ~ (e3 = e1)
% 174.02/27.32    (10)  all_58_23 = all_52_7
% 174.02/27.32    (11)   ~ (all_52_2 = all_6_2)
% 174.02/27.32    (12)   ~ (all_52_3 = all_14_2)
% 174.02/27.32    (13)   ~ (all_52_4 = all_4_2)
% 174.02/27.32    (14)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.02/27.32    (15)  all_54_3 = all_52_12
% 174.02/27.32    (16)  all_56_5 = all_52_9
% 174.02/27.32    (17)   ~ (all_52_3 = all_52_11)
% 174.02/27.32    (18)  op(all_6_2, e3) = all_6_1
% 174.02/27.32    (19)   ~ (all_52_12 = all_6_2)
% 174.02/27.32    (20)  op(e2, e0) = all_52_13
% 174.02/27.32    (21)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 174.02/27.32    (22)   ~ (all_52_6 = all_4_2)
% 174.02/27.32    (23)  op(e3, all_6_2) = all_58_0
% 174.02/27.32    (24)  op(e1, e0) = all_52_14
% 174.02/27.32    (25)  all_56_15 = all_14_2
% 174.02/27.32    (26)   ~ (all_52_11 = all_14_2)
% 174.02/27.32    (27)  all_54_1 = all_52_4
% 174.02/27.32    (28)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 174.02/27.32    (29)   ~ (all_52_9 = all_4_2)
% 174.02/27.32    (30)   ~ (all_52_3 = all_52_7)
% 174.02/27.32    (31)  all_54_6 = all_52_9
% 174.02/27.32    (32)  all_56_14 = all_52_11
% 174.02/27.32    (33)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 174.02/27.32    (34)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 174.02/27.32    (35)   ~ (all_52_13 = all_4_2)
% 174.02/27.32    (36)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 174.02/27.32    (37)  all_56_8 = all_10_2
% 174.02/27.32    (38)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.02/27.32    (39)  all_58_26 = all_10_2
% 174.02/27.32    (40)   ~ (all_52_4 = all_52_6)
% 174.02/27.32    (41)  all_58_31 = all_14_2
% 174.02/27.32    (42)   ~ (all_52_11 = all_10_2)
% 174.02/27.32    (43)   ~ (all_52_9 = all_52_13)
% 174.02/27.32    (44)   ~ (all_52_3 = all_6_2)
% 174.02/27.32    (45)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 174.02/27.32    (46)  op(all_6_1, all_6_2) = all_6_0
% 174.02/27.32    (47)   ~ (all_52_1 = all_6_2)
% 174.02/27.32    (48)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 174.02/27.32    (49)  all_54_2 = all_52_8
% 174.02/27.32    (50)  all_56_11 = all_52_14
% 174.02/27.32    (51)   ~ (all_52_6 = all_52_7)
% 174.02/27.32    (52)   ~ (all_4_1 = e0)
% 174.02/27.32    (53)  all_56_0 = all_6_2
% 174.02/27.32    (54)   ~ (all_52_9 = all_10_2)
% 174.02/27.32    (55)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.02/27.32    (56)  all_58_30 = all_52_14
% 174.02/27.32    (57)  all_58_27 = all_52_11
% 174.02/27.32    (58)  all_54_14 = all_52_11
% 174.02/27.32    (59)  op(all_4_2, e2) = all_4_1
% 174.02/27.32    (60)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 174.02/27.32    (61)   ~ (all_42_0 = e1) |  ~ (all_42_1 = e2)
% 174.02/27.32    (62)  all_58_17 = all_52_1
% 174.02/27.32    (63)  all_58_19 = all_52_3
% 174.02/27.32    (64)  all_56_9 = all_52_12
% 174.02/27.32    (65)   ~ (all_52_2 = all_52_6)
% 174.02/27.32    (66)  all_42_0 = all_6_0
% 174.02/27.32    (67)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 174.02/27.32    (68)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 174.02/27.32    (69)   ~ (e3 = e2)
% 174.02/27.32    (70)   ~ (all_52_4 = all_52_7)
% 174.02/27.32    (71)   ~ (e2 = e1)
% 174.02/27.32    (72)   ~ (all_52_6 = all_10_2)
% 174.02/27.32    (73)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 174.02/27.32    (74)  op(e0, all_52_11) = all_58_14
% 174.02/27.32    (75)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.02/27.32    (76)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 174.02/27.32    (77)   ~ (all_52_13 = all_14_2)
% 174.02/27.32    (78)   ~ (all_52_1 = all_4_2)
% 174.02/27.32    (79)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.02/27.32    (80)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 174.02/27.32    (81)  all_54_9 = all_52_6
% 174.02/27.32    (82)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.02/27.32    (83)   ~ (all_52_13 = all_52_14)
% 174.02/27.32    (84)  all_58_18 = all_52_2
% 174.02/27.32    (85)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.02/27.32    (86)  all_58_16 = all_6_2
% 174.02/27.32    (87)  all_56_13 = all_52_7
% 174.02/27.32    (88)  op(e0, e3) = all_52_3
% 174.02/27.32    (89)  op(e0, all_52_7) = all_58_13
% 174.02/27.32    (90)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 174.02/27.32    (91)   ~ (all_52_8 = all_52_9)
% 174.02/27.32    (92)   ~ (all_52_4 = all_6_2)
% 174.02/27.32    (93)  all_56_2 = all_52_1
% 174.02/27.32    (94)   ~ (all_14_0 = e1)
% 174.02/27.32    (95)   ~ (e3 = e0)
% 174.02/27.32    (96)  op(e3, e0) = all_52_12
% 174.02/27.32    (97)  all_58_29 = all_52_13
% 174.02/27.32    (98)   ~ (all_52_1 = all_52_2)
% 174.02/27.32    (99)   ~ (all_4_2 = e0)
% 174.02/27.32    (100)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 174.02/27.32    (101)  all_6_2 = e0
% 174.02/27.32    (102)   ~ (all_52_6 = all_52_14)
% 174.02/27.32    (103)   ~ (all_52_7 = all_4_2)
% 174.02/27.32    (104)   ~ (all_52_8 = all_10_2)
% 174.02/27.32    (105)  all_56_4 = all_52_8
% 174.02/27.32    (106)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 174.02/27.32    (107)  op(all_14_1, all_14_2) = all_14_0
% 174.02/27.32    (108)   ~ (all_52_1 = all_52_13)
% 174.02/27.32    (109)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 174.02/27.32    (110)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 174.02/27.32    (111)  all_58_20 = all_52_4
% 174.02/27.32    (112)  all_54_10 = all_10_2
% 174.02/27.32    (113)  all_54_15 = all_14_2
% 174.02/27.32    (114)   ~ (all_52_7 = all_52_11)
% 174.02/27.32    (115)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 174.02/27.32    (116)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 174.02/27.32    (117)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.02/27.32    (118)   ~ (all_52_8 = all_52_11)
% 174.02/27.32    (119)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 174.02/27.32    (120)   ~ (all_52_8 = all_6_2)
% 174.02/27.32    (121)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 174.02/27.32    (122)  all_56_6 = all_52_2
% 174.02/27.32    (123)   ~ (all_52_1 = all_52_9)
% 174.02/27.32    (124)  all_58_24 = all_52_8
% 174.02/27.32    (125)   ~ (all_52_12 = all_52_14)
% 174.02/27.32    (126)   ~ (all_52_9 = all_52_11)
% 174.02/27.32    (127)  all_58_22 = all_52_6
% 174.02/27.32    (128)  op(all_14_2, e0) = all_14_1
% 174.02/27.32    (129)   ~ (all_52_4 = all_52_12)
% 174.02/27.32    (130)  all_56_3 = all_4_2
% 174.02/27.32    (131)   ~ (all_52_14 = all_10_2)
% 174.02/27.32    (132)   ~ (all_52_2 = all_52_3)
% 174.02/27.32    (133)   ~ (all_52_4 = all_52_8)
% 174.02/27.32    (134)   ~ (all_52_14 = all_14_2)
% 174.02/27.32    (135)  all_58_25 = all_52_9
% 174.02/27.32    (136)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 174.02/27.32    (137)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.02/27.32             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.02/27.32    (138)  all_54_12 = all_52_3
% 174.02/27.32    (139)   ~ (all_52_2 = all_52_14)
% 174.02/27.32    (140)  op(e0, all_14_2) = all_58_15
% 174.02/27.32    (141)  all_58_21 = all_4_2
% 174.02/27.32    (142)  all_42_1 = all_6_1
% 174.02/27.32    (143)  all_56_10 = all_52_13
% 174.02/27.32    (144)  op(e2, all_52_9) = all_58_6
% 174.02/27.32    (145)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 174.02/27.32    (146)   ~ (e2 = e0)
% 174.02/27.32    (147)   ~ (all_52_1 = all_52_3)
% 174.02/27.32    (148)  all_58_28 = all_52_12
% 174.02/27.32    (149)  op(e1, all_52_6) = all_58_9
% 174.02/27.32    (150)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 174.02/27.32    (151)   ~ (e1 = e0)
% 174.02/27.32    (152)  all_54_4 = all_52_1
% 174.02/27.32    (153)  all_56_7 = all_52_6
% 174.02/27.32    (154)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 174.02/27.32             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 174.02/27.32             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 174.02/27.32             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 174.02/27.32             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 174.02/27.32             (all_58_15 = e0))
% 174.02/27.32    (155)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 174.02/27.32    (156)  all_54_5 = all_4_2
% 174.02/27.32    (157)  op(e2, all_52_13) = all_58_7
% 174.02/27.32    (158)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 174.02/27.32    (159)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 174.02/27.32           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 174.02/27.32           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.02/27.32           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 174.02/27.32           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.02/27.32           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.02/27.32           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.02/27.32           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 174.02/27.32           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.02/27.32           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 174.02/27.32             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 174.02/27.32             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 174.02/27.32             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 174.02/27.32             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 174.02/27.32             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 174.02/27.32             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 174.02/27.32             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 174.02/27.32             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 174.02/27.32             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 174.02/27.32             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 174.02/27.32             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 174.02/27.32             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 174.02/27.32             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 174.02/27.32             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 174.02/27.32             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 174.02/27.32             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.02/27.32           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.02/27.32           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.02/27.32           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 174.02/27.32             all_58_30 = e0 & e1 = e0)
% 174.02/27.32    (160)  all_54_7 = all_52_13
% 174.02/27.32    (161)   ~ (all_52_2 = all_10_2)
% 174.02/27.32    (162)  op(e1, e2) = all_52_6
% 174.02/27.32    (163)  all_54_11 = all_52_14
% 174.02/27.32    (164)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.02/27.32    (165)   ~ (all_52_12 = all_52_13)
% 174.02/27.32  
% 174.02/27.32  Begin of proof
% 174.02/27.32  | 
% 174.02/27.32  | COMBINE_EQS: (53), (101) imply:
% 174.02/27.32  |   (166)  all_56_0 = e0
% 174.02/27.32  | 
% 174.02/27.32  | COMBINE_EQS: (86), (101) imply:
% 174.02/27.32  |   (167)  all_58_16 = e0
% 174.02/27.32  | 
% 174.02/27.32  | REDUCE: (47), (101) imply:
% 174.02/27.32  |   (168)   ~ (all_52_1 = e0)
% 174.02/27.32  | 
% 174.02/27.32  | REDUCE: (11), (101) imply:
% 174.02/27.32  |   (169)   ~ (all_52_2 = e0)
% 174.02/27.32  | 
% 174.02/27.32  | REDUCE: (44), (101) imply:
% 174.02/27.32  |   (170)   ~ (all_52_3 = e0)
% 174.02/27.32  | 
% 174.02/27.32  | REDUCE: (92), (101) imply:
% 174.02/27.32  |   (171)   ~ (all_52_4 = e0)
% 174.02/27.32  | 
% 174.02/27.32  | REDUCE: (101), (120) imply:
% 174.02/27.32  |   (172)   ~ (all_52_8 = e0)
% 174.02/27.32  | 
% 174.02/27.32  | REDUCE: (19), (101) imply:
% 174.02/27.32  |   (173)   ~ (all_52_12 = e0)
% 174.02/27.32  | 
% 174.02/27.32  | REDUCE: (46), (101) imply:
% 174.02/27.32  |   (174)  op(all_6_1, e0) = all_6_0
% 174.02/27.32  | 
% 174.02/27.32  | REDUCE: (18), (101) imply:
% 174.02/27.32  |   (175)  op(e0, e3) = all_6_1
% 174.02/27.32  | 
% 174.02/27.32  | REDUCE: (23), (101) imply:
% 174.02/27.32  |   (176)  op(e3, e0) = all_58_0
% 174.02/27.32  | 
% 174.02/27.32  | GROUND_INST: instantiating (137) with all_52_3, all_6_1, e3, e0, simplifying
% 174.02/27.32  |              with (88), (175) gives:
% 174.02/27.32  |   (177)  all_52_3 = all_6_1
% 174.02/27.32  | 
% 174.02/27.32  | GROUND_INST: instantiating (137) with all_52_12, all_58_0, e0, e3, simplifying
% 174.02/27.32  |              with (96), (176) gives:
% 174.02/27.32  |   (178)  all_58_0 = all_52_12
% 174.02/27.32  | 
% 174.02/27.32  | COMBINE_EQS: (138), (177) imply:
% 174.02/27.32  |   (179)  all_54_12 = all_6_1
% 174.02/27.32  | 
% 174.02/27.32  | COMBINE_EQS: (4), (177) imply:
% 174.02/27.32  |   (180)  all_56_12 = all_6_1
% 174.02/27.32  | 
% 174.02/27.32  | COMBINE_EQS: (63), (177) imply:
% 174.02/27.32  |   (181)  all_58_19 = all_6_1
% 174.02/27.32  | 
% 174.02/27.32  | REDUCE: (147), (177) imply:
% 174.02/27.32  |   (182)   ~ (all_52_1 = all_6_1)
% 174.02/27.32  | 
% 174.02/27.32  | REDUCE: (132), (177) imply:
% 174.02/27.32  |   (183)   ~ (all_52_2 = all_6_1)
% 174.02/27.32  | 
% 174.02/27.32  | REDUCE: (30), (177) imply:
% 174.02/27.32  |   (184)   ~ (all_52_7 = all_6_1)
% 174.02/27.32  | 
% 174.02/27.32  | SIMP: (184) implies:
% 174.02/27.32  |   (185)   ~ (all_52_7 = all_6_1)
% 174.02/27.32  | 
% 174.02/27.32  | REDUCE: (17), (177) imply:
% 174.02/27.32  |   (186)   ~ (all_52_11 = all_6_1)
% 174.02/27.32  | 
% 174.02/27.32  | SIMP: (186) implies:
% 174.02/27.32  |   (187)   ~ (all_52_11 = all_6_1)
% 174.02/27.32  | 
% 174.02/27.32  | REDUCE: (12), (177) imply:
% 174.02/27.32  |   (188)   ~ (all_14_2 = all_6_1)
% 174.02/27.32  | 
% 174.02/27.32  | SIMP: (188) implies:
% 174.02/27.32  |   (189)   ~ (all_14_2 = all_6_1)
% 174.02/27.32  | 
% 174.02/27.32  | REDUCE: (170), (177) imply:
% 174.02/27.32  |   (190)   ~ (all_6_1 = e0)
% 174.02/27.32  | 
% 174.02/27.32  | BETA: splitting (5) gives:
% 174.02/27.32  | 
% 174.02/27.32  | Case 1:
% 174.02/27.32  | | 
% 174.02/27.32  | |   (191)  all_56_15 = e0
% 174.02/27.32  | | 
% 174.02/27.32  | | COMBINE_EQS: (25), (191) imply:
% 174.02/27.32  | |   (192)  all_14_2 = e0
% 174.02/27.32  | | 
% 174.02/27.32  | | SIMP: (192) implies:
% 174.02/27.32  | |   (193)  all_14_2 = e0
% 174.02/27.32  | | 
% 174.02/27.32  | | REDUCE: (26), (193) imply:
% 174.02/27.32  | |   (194)   ~ (all_52_11 = e0)
% 174.02/27.32  | | 
% 174.02/27.32  | | REDUCE: (134), (193) imply:
% 174.02/27.32  | |   (195)   ~ (all_52_14 = e0)
% 174.02/27.32  | | 
% 174.02/27.32  | | REDUCE: (189), (193) imply:
% 174.02/27.32  | |   (196)   ~ (all_6_1 = e0)
% 174.02/27.32  | | 
% 174.02/27.32  | | REDUCE: (107), (193) imply:
% 174.02/27.32  | |   (197)  op(all_14_1, e0) = all_14_0
% 174.02/27.32  | | 
% 174.02/27.32  | | REDUCE: (128), (193) imply:
% 174.02/27.32  | |   (198)  op(e0, e0) = all_14_1
% 174.02/27.32  | | 
% 174.02/27.32  | | REDUCE: (140), (193) imply:
% 174.02/27.32  | |   (199)  op(e0, e0) = all_58_15
% 174.02/27.32  | | 
% 174.02/27.32  | | REDUCE: (2), (193) imply:
% 174.02/27.32  | |   (200)  op(e0, e0) = e0
% 174.02/27.32  | | 
% 174.02/27.32  | | BETA: splitting (116) gives:
% 174.02/27.32  | | 
% 174.02/27.32  | | Case 1:
% 174.02/27.32  | | | 
% 174.02/27.32  | | |   (201)  all_56_6 = e0
% 174.02/27.32  | | | 
% 174.02/27.32  | | | COMBINE_EQS: (122), (201) imply:
% 174.02/27.32  | | |   (202)  all_52_2 = e0
% 174.02/27.32  | | | 
% 174.02/27.32  | | | REDUCE: (169), (202) imply:
% 174.02/27.32  | | |   (203)  $false
% 174.02/27.32  | | | 
% 174.02/27.32  | | | CLOSE: (203) is inconsistent.
% 174.02/27.32  | | | 
% 174.02/27.32  | | Case 2:
% 174.02/27.32  | | | 
% 174.02/27.32  | | |   (204)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 174.02/27.32  | | | 
% 174.02/27.32  | | | BETA: splitting (90) gives:
% 174.02/27.32  | | | 
% 174.02/27.32  | | | Case 1:
% 174.02/27.32  | | | | 
% 174.02/27.32  | | | |   (205)  all_56_4 = e0
% 174.02/27.32  | | | | 
% 174.02/27.32  | | | | COMBINE_EQS: (105), (205) imply:
% 174.02/27.32  | | | |   (206)  all_52_8 = e0
% 174.02/27.32  | | | | 
% 174.02/27.32  | | | | REDUCE: (172), (206) imply:
% 174.02/27.32  | | | |   (207)  $false
% 174.02/27.32  | | | | 
% 174.02/27.32  | | | | CLOSE: (207) is inconsistent.
% 174.02/27.32  | | | | 
% 174.02/27.32  | | | Case 2:
% 174.02/27.32  | | | | 
% 174.02/27.32  | | | |   (208)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 174.02/27.32  | | | | 
% 174.02/27.32  | | | | BETA: splitting (208) gives:
% 174.02/27.32  | | | | 
% 174.02/27.32  | | | | Case 1:
% 174.02/27.32  | | | | | 
% 174.02/27.32  | | | | |   (209)  all_56_5 = e0
% 174.02/27.32  | | | | | 
% 174.02/27.32  | | | | | COMBINE_EQS: (16), (209) imply:
% 174.02/27.32  | | | | |   (210)  all_52_9 = e0
% 174.02/27.32  | | | | | 
% 174.02/27.32  | | | | | COMBINE_EQS: (135), (210) imply:
% 174.02/27.32  | | | | |   (211)  all_58_25 = e0
% 174.02/27.32  | | | | | 
% 174.02/27.32  | | | | | REDUCE: (126), (210) imply:
% 174.02/27.32  | | | | |   (212)   ~ (all_52_11 = e0)
% 174.02/27.32  | | | | | 
% 174.02/27.32  | | | | | REDUCE: (43), (210) imply:
% 174.02/27.32  | | | | |   (213)   ~ (all_52_13 = e0)
% 174.02/27.32  | | | | | 
% 174.02/27.32  | | | | | SIMP: (213) implies:
% 174.02/27.32  | | | | |   (214)   ~ (all_52_13 = e0)
% 174.02/27.32  | | | | | 
% 174.02/27.32  | | | | | REDUCE: (54), (210) imply:
% 174.02/27.32  | | | | |   (215)   ~ (all_10_2 = e0)
% 174.02/27.32  | | | | | 
% 174.02/27.32  | | | | | REDUCE: (144), (210) imply:
% 174.02/27.32  | | | | |   (216)  op(e2, e0) = all_58_6
% 174.02/27.32  | | | | | 
% 174.02/27.32  | | | | | BETA: splitting (204) gives:
% 174.02/27.32  | | | | | 
% 174.02/27.32  | | | | | Case 1:
% 174.02/27.32  | | | | | | 
% 174.02/27.32  | | | | | |   (217)  all_56_7 = e0
% 174.02/27.32  | | | | | | 
% 174.02/27.32  | | | | | | COMBINE_EQS: (153), (217) imply:
% 174.02/27.32  | | | | | |   (218)  all_52_6 = e0
% 174.02/27.32  | | | | | | 
% 174.02/27.32  | | | | | | COMBINE_EQS: (127), (218) imply:
% 174.02/27.32  | | | | | |   (219)  all_58_22 = e0
% 174.02/27.32  | | | | | | 
% 174.02/27.32  | | | | | | REDUCE: (51), (218) imply:
% 174.02/27.32  | | | | | |   (220)   ~ (all_52_7 = e0)
% 174.02/27.32  | | | | | | 
% 174.02/27.32  | | | | | | SIMP: (220) implies:
% 174.02/27.32  | | | | | |   (221)   ~ (all_52_7 = e0)
% 174.02/27.32  | | | | | | 
% 174.02/27.32  | | | | | | REDUCE: (22), (218) imply:
% 174.02/27.32  | | | | | |   (222)   ~ (all_4_2 = e0)
% 174.02/27.32  | | | | | | 
% 174.02/27.32  | | | | | | REDUCE: (162), (218) imply:
% 174.02/27.32  | | | | | |   (223)  op(e1, e2) = e0
% 174.02/27.32  | | | | | | 
% 174.02/27.32  | | | | | | GROUND_INST: instantiating (137) with all_14_1, all_58_15, e0, e0,
% 174.02/27.32  | | | | | |              simplifying with (198), (199) gives:
% 174.02/27.32  | | | | | |   (224)  all_58_15 = all_14_1
% 174.02/27.32  | | | | | | 
% 174.02/27.32  | | | | | | GROUND_INST: instantiating (137) with e0, all_58_15, e0, e0,
% 174.02/27.32  | | | | | |              simplifying with (199), (200) gives:
% 174.02/27.32  | | | | | |   (225)  all_58_15 = e0
% 174.02/27.32  | | | | | | 
% 174.02/27.32  | | | | | | GROUND_INST: instantiating (137) with all_52_13, all_58_6, e0, e2,
% 174.02/27.32  | | | | | |              simplifying with (20), (216) gives:
% 174.02/27.32  | | | | | |   (226)  all_58_6 = all_52_13
% 174.02/27.32  | | | | | | 
% 174.02/27.32  | | | | | | COMBINE_EQS: (224), (225) imply:
% 174.02/27.32  | | | | | |   (227)  all_14_1 = e0
% 174.02/27.32  | | | | | | 
% 174.02/27.32  | | | | | | SIMP: (227) implies:
% 174.02/27.32  | | | | | |   (228)  all_14_1 = e0
% 174.02/27.32  | | | | | | 
% 174.02/27.32  | | | | | | REDUCE: (197), (228) imply:
% 174.02/27.32  | | | | | |   (229)  op(e0, e0) = all_14_0
% 174.02/27.32  | | | | | | 
% 174.02/27.32  | | | | | | GROUND_INST: instantiating (137) with e0, all_14_0, e0, e0,
% 174.02/27.32  | | | | | |              simplifying with (200), (229) gives:
% 174.02/27.32  | | | | | |   (230)  all_14_0 = e0
% 174.02/27.32  | | | | | | 
% 174.02/27.32  | | | | | | REDUCE: (94), (230) imply:
% 174.02/27.32  | | | | | |   (231)   ~ (e1 = e0)
% 174.02/27.32  | | | | | | 
% 174.02/27.32  | | | | | | BETA: splitting (110) gives:
% 174.02/27.32  | | | | | | 
% 174.02/27.32  | | | | | | Case 1:
% 174.02/27.32  | | | | | | | 
% 174.02/27.32  | | | | | | |   (232)  all_54_12 = e0
% 174.02/27.32  | | | | | | | 
% 174.02/27.32  | | | | | | | REF_CLOSE: (179), (190), (232) are inconsistent by sub-proof #644.
% 174.02/27.32  | | | | | | | 
% 174.02/27.32  | | | | | | Case 2:
% 174.02/27.32  | | | | | | | 
% 174.02/27.32  | | | | | | |   (233)   ~ (all_54_12 = e0)
% 174.02/27.32  | | | | | | |   (234)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 174.02/27.32  | | | | | | | 
% 174.02/27.32  | | | | | | | BETA: splitting (68) gives:
% 174.02/27.32  | | | | | | | 
% 174.02/27.32  | | | | | | | Case 1:
% 174.02/27.32  | | | | | | | | 
% 174.02/27.32  | | | | | | | |   (235)  all_54_10 = e0
% 174.02/27.32  | | | | | | | | 
% 174.02/27.32  | | | | | | | | REF_CLOSE: (7), (112), (235) are inconsistent by sub-proof #909.
% 174.02/27.32  | | | | | | | | 
% 174.02/27.32  | | | | | | | Case 2:
% 174.02/27.32  | | | | | | | | 
% 174.02/27.32  | | | | | | | |   (236)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 174.02/27.32  | | | | | | | | 
% 174.02/27.32  | | | | | | | | BETA: splitting (21) gives:
% 174.02/27.32  | | | | | | | | 
% 174.02/27.32  | | | | | | | | Case 1:
% 174.02/27.32  | | | | | | | | | 
% 174.02/27.32  | | | | | | | | |   (237)  all_54_5 = e0
% 174.02/27.32  | | | | | | | | | 
% 174.02/27.32  | | | | | | | | | REF_CLOSE: (99), (156), (237) are inconsistent by sub-proof
% 174.02/27.32  | | | | | | | | |            #983.
% 174.02/27.32  | | | | | | | | | 
% 174.02/27.32  | | | | | | | | Case 2:
% 174.02/27.32  | | | | | | | | | 
% 174.02/27.32  | | | | | | | | |   (238)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 174.02/27.32  | | | | | | | | | 
% 174.02/27.32  | | | | | | | | | BETA: splitting (121) gives:
% 174.02/27.32  | | | | | | | | | 
% 174.02/27.32  | | | | | | | | | Case 1:
% 174.02/27.32  | | | | | | | | | | 
% 174.02/27.32  | | | | | | | | | |   (239)  all_54_4 = e0
% 174.02/27.32  | | | | | | | | | | 
% 174.02/27.32  | | | | | | | | | | REF_CLOSE: (152), (168), (239) are inconsistent by sub-proof
% 174.02/27.32  | | | | | | | | | |            #902.
% 174.02/27.32  | | | | | | | | | | 
% 174.02/27.32  | | | | | | | | | Case 2:
% 174.02/27.32  | | | | | | | | | | 
% 174.02/27.32  | | | | | | | | | |   (240)   ~ (all_54_4 = e0)
% 174.02/27.32  | | | | | | | | | |   (241)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 174.02/27.32  | | | | | | | | | | 
% 174.02/27.32  | | | | | | | | | | BETA: splitting (76) gives:
% 174.02/27.32  | | | | | | | | | | 
% 174.02/27.32  | | | | | | | | | | Case 1:
% 174.02/27.32  | | | | | | | | | | | 
% 174.02/27.32  | | | | | | | | | | |   (242)  all_54_7 = e0
% 174.02/27.32  | | | | | | | | | | | 
% 174.02/27.32  | | | | | | | | | | | REF_CLOSE: (160), (214), (242) are inconsistent by sub-proof
% 174.02/27.32  | | | | | | | | | | |            #714.
% 174.02/27.32  | | | | | | | | | | | 
% 174.02/27.32  | | | | | | | | | | Case 2:
% 174.02/27.32  | | | | | | | | | | | 
% 174.02/27.32  | | | | | | | | | | |   (243)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 174.02/27.32  | | | | | | | | | | | 
% 174.02/27.32  | | | | | | | | | | | BETA: splitting (14) gives:
% 174.02/27.32  | | | | | | | | | | | 
% 174.02/27.32  | | | | | | | | | | | Case 1:
% 174.02/27.32  | | | | | | | | | | | | 
% 174.02/27.32  | | | | | | | | | | | |   (244)  all_58_19 = e0
% 174.02/27.32  | | | | | | | | | | | | 
% 174.02/27.32  | | | | | | | | | | | | COMBINE_EQS: (181), (244) imply:
% 174.02/27.32  | | | | | | | | | | | |   (245)  all_6_1 = e0
% 174.02/27.32  | | | | | | | | | | | | 
% 174.02/27.32  | | | | | | | | | | | | REDUCE: (190), (245) imply:
% 174.02/27.32  | | | | | | | | | | | |   (246)  $false
% 174.02/27.32  | | | | | | | | | | | | 
% 174.02/27.32  | | | | | | | | | | | | CLOSE: (246) is inconsistent.
% 174.02/27.32  | | | | | | | | | | | | 
% 174.02/27.32  | | | | | | | | | | | Case 2:
% 174.02/27.32  | | | | | | | | | | | | 
% 174.02/27.32  | | | | | | | | | | | |   (247)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.02/27.32  | | | | | | | | | | | | 
% 174.02/27.32  | | | | | | | | | | | | BETA: splitting (117) gives:
% 174.02/27.32  | | | | | | | | | | | | 
% 174.02/27.32  | | | | | | | | | | | | Case 1:
% 174.02/27.32  | | | | | | | | | | | | | 
% 174.02/27.32  | | | | | | | | | | | | |   (248)  all_58_23 = e0
% 174.02/27.32  | | | | | | | | | | | | | 
% 174.02/27.32  | | | | | | | | | | | | | COMBINE_EQS: (10), (248) imply:
% 174.02/27.32  | | | | | | | | | | | | |   (249)  all_52_7 = e0
% 174.02/27.32  | | | | | | | | | | | | | 
% 174.02/27.32  | | | | | | | | | | | | | REDUCE: (221), (249) imply:
% 174.02/27.32  | | | | | | | | | | | | |   (250)  $false
% 174.02/27.32  | | | | | | | | | | | | | 
% 174.02/27.32  | | | | | | | | | | | | | CLOSE: (250) is inconsistent.
% 174.02/27.32  | | | | | | | | | | | | | 
% 174.02/27.32  | | | | | | | | | | | | Case 2:
% 174.02/27.32  | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | |   (251)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.02/27.33  | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | BETA: splitting (55) gives:
% 174.02/27.33  | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | Case 1:
% 174.02/27.33  | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | |   (252)  all_58_27 = e0
% 174.02/27.33  | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | REF_CLOSE: (57), (194), (252) are inconsistent by sub-proof
% 174.02/27.33  | | | | | | | | | | | | | |            #663.
% 174.02/27.33  | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | Case 2:
% 174.02/27.33  | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | |   (253)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.02/27.33  | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | BETA: splitting (60) gives:
% 174.02/27.33  | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | Case 1:
% 174.02/27.33  | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | |   (254)  all_56_6 = e1
% 174.02/27.33  | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | COMBINE_EQS: (122), (254) imply:
% 174.02/27.33  | | | | | | | | | | | | | | |   (255)  all_52_2 = e1
% 174.02/27.33  | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | REDUCE: (98), (255) imply:
% 174.02/27.33  | | | | | | | | | | | | | | |   (256)   ~ (all_52_1 = e1)
% 174.02/27.33  | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | REDUCE: (161), (255) imply:
% 174.02/27.33  | | | | | | | | | | | | | | |   (257)   ~ (all_10_2 = e1)
% 174.02/27.33  | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | SIMP: (257) implies:
% 174.02/27.33  | | | | | | | | | | | | | | |   (258)   ~ (all_10_2 = e1)
% 174.02/27.33  | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | REDUCE: (183), (255) imply:
% 174.02/27.33  | | | | | | | | | | | | | | |   (259)   ~ (all_6_1 = e1)
% 174.02/27.33  | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | SIMP: (259) implies:
% 174.02/27.33  | | | | | | | | | | | | | | |   (260)   ~ (all_6_1 = e1)
% 174.02/27.33  | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 174.02/27.33  | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | Case 1:
% 174.02/27.33  | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | |   (261)  all_58_26 = e1
% 174.02/27.33  | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | REF_CLOSE: (39), (258), (261) are inconsistent by sub-proof
% 174.02/27.33  | | | | | | | | | | | | | | | |            #968.
% 174.02/27.33  | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | Case 2:
% 174.02/27.33  | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | |   (262)   ~ (all_58_26 = e1)
% 174.02/27.33  | | | | | | | | | | | | | | | |   (263)  all_58_24 = e3 | all_58_25 = e2
% 174.02/27.33  | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 174.02/27.33  | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.33  | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | |   (264)  all_58_25 = e2
% 174.02/27.33  | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (211), (264) are inconsistent by sub-proof
% 174.02/27.33  | | | | | | | | | | | | | | | | |            #850.
% 174.02/27.33  | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.33  | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | |   (265)  all_58_24 = e3
% 174.02/27.33  | | | | | | | | | | | | | | | | |   (266)   ~ (all_58_25 = e2)
% 174.02/27.33  | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | COMBINE_EQS: (124), (265) imply:
% 174.02/27.33  | | | | | | | | | | | | | | | | |   (267)  all_52_8 = e3
% 174.02/27.33  | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | REDUCE: (211), (266) imply:
% 174.02/27.33  | | | | | | | | | | | | | | | | |   (268)   ~ (e2 = e0)
% 174.02/27.33  | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | REDUCE: (133), (267) imply:
% 174.02/27.33  | | | | | | | | | | | | | | | | |   (269)   ~ (all_52_4 = e3)
% 174.02/27.33  | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | REDUCE: (104), (267) imply:
% 174.02/27.33  | | | | | | | | | | | | | | | | |   (270)   ~ (all_10_2 = e3)
% 174.02/27.33  | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | SIMP: (270) implies:
% 174.02/27.33  | | | | | | | | | | | | | | | | |   (271)   ~ (all_10_2 = e3)
% 174.02/27.33  | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 174.02/27.33  | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | |   (272)  all_56_6 = e3
% 174.02/27.33  | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (272) imply:
% 174.02/27.33  | | | | | | | | | | | | | | | | | |   (273)  e3 = e1
% 174.02/27.33  | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (146), (211), (263), (265), (273) are
% 174.02/27.33  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #643.
% 174.02/27.33  | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | |   (274)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 174.02/27.33  | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | |   (275)  all_54_10 = e1
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (258), (275) are inconsistent by sub-proof
% 174.02/27.33  | | | | | | | | | | | | | | | | | | |            #931.
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | |   (276)  all_54_10 = e3 | all_54_10 = e2
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | BETA: splitting (276) gives:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | |   (277)  all_54_10 = e2
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (112), (277) imply:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | |   (278)  all_10_2 = e2
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | SIMP: (278) implies:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | |   (279)  all_10_2 = e2
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (37), (279) imply:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | |   (280)  all_56_8 = e2
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | REDUCE: (271), (279) imply:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | |   (281)   ~ (e3 = e2)
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | |   (282)  all_56_7 = e3
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (95), (217), (282) are inconsistent by sub-proof
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | |            #642.
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | |   (283)  all_56_8 = e3 | all_56_11 = e3
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (283) gives:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | |   (284)  all_56_8 = e3
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (284) imply:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | |   (285)  e3 = e2
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | SIMP: (285) implies:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | |   (286)  e3 = e2
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (286) imply:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | |   (287)  $false
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (287) is inconsistent.
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | |   (288)  all_56_11 = e3
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (50), (288) imply:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | |   (289)  all_52_14 = e3
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (289) imply:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | |   (290)   ~ (all_52_13 = e3)
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | |   (291)  all_58_22 = e1
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (151), (219), (291) are inconsistent by sub-proof
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | |            #923.
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | |   (292)  all_58_20 = e3 | all_58_21 = e2
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | |   (293)  all_58_21 = e2
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (141), (293) imply:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | |   (294)  all_4_2 = e2
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (294) imply:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | |   (295)   ~ (all_52_1 = e2)
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (294) imply:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | |   (296)   ~ (all_52_13 = e2)
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  all_56_12 = e2
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (180), (297) imply:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  all_6_1 = e2
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (142), (298) imply:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  all_42_1 = e2
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (174), (298) imply:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  op(e2, e0) = all_6_0
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)   ~ (all_42_0 = e1)
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (301) imply:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)   ~ (all_6_0 = e1)
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  all_54_7 = e1
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (160), (303) imply:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  all_52_13 = e1
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (304) implies:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  all_52_13 = e1
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (305) imply:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)  op(e2, e0) = e1
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (137) with e1, all_6_0, e0, e2,
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (300), (306) gives:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  all_6_0 = e1
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (302), (307) imply:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  $false
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (308) is inconsistent.
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  all_54_7 = e3 | all_54_7 = e2
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (290), (296), (309) are inconsistent by
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #709.
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)   ~ (all_42_1 = e2)
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (299), (310) imply:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  $false
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (311) is inconsistent.
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (312)   ~ (all_56_12 = e2)
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (180), (312) imply:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (313)   ~ (all_6_1 = e2)
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (93), (152), (164), (179), (182), (234), (241),
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | |            (256), (260), (295), (313) are inconsistent by
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #638.
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | |   (314)  all_58_20 = e3
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (111), (314) imply:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | |   (315)  all_52_4 = e3
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (269), (315) imply:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | |   (316)  $false
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (316) is inconsistent.
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | Case 2:
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | |   (317)  all_54_10 = e3
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (271), (317) are inconsistent by sub-proof
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | |            #637.
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.33  | | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | | End of split
% 174.02/27.33  | | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | | End of split
% 174.02/27.33  | | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | End of split
% 174.02/27.33  | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | End of split
% 174.02/27.33  | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | Case 2:
% 174.02/27.33  | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | |   (318)   ~ (all_56_6 = e1)
% 174.02/27.33  | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | REDUCE: (122), (318) imply:
% 174.02/27.33  | | | | | | | | | | | | | | |   (319)   ~ (all_52_2 = e1)
% 174.02/27.33  | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 174.02/27.33  | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | Case 1:
% 174.02/27.33  | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | |   (320)  all_58_18 = e1
% 174.02/27.33  | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | REF_CLOSE: (84), (319), (320) are inconsistent by sub-proof
% 174.02/27.33  | | | | | | | | | | | | | | | |            #924.
% 174.02/27.33  | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | Case 2:
% 174.02/27.33  | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | |   (321)  all_58_16 = e3 | all_58_17 = e2
% 174.02/27.33  | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (37), (39), (50), (52), (59), (62),
% 174.02/27.33  | | | | | | | | | | | | | | | |            (78), (95), (98), (100), (111), (122), (124),
% 174.02/27.33  | | | | | | | | | | | | | | | |            (133), (137), (141), (151), (156), (167), (168),
% 174.02/27.33  | | | | | | | | | | | | | | | |            (171), (211), (217), (219), (223), (238), (251),
% 174.02/27.33  | | | | | | | | | | | | | | | |            (253), (321) are inconsistent by sub-proof #632.
% 174.02/27.33  | | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | | End of split
% 174.02/27.33  | | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | | End of split
% 174.02/27.33  | | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | | End of split
% 174.02/27.33  | | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | | End of split
% 174.02/27.33  | | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | | End of split
% 174.02/27.33  | | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | | End of split
% 174.02/27.33  | | | | | | | | | | 
% 174.02/27.33  | | | | | | | | | End of split
% 174.02/27.33  | | | | | | | | | 
% 174.02/27.33  | | | | | | | | End of split
% 174.02/27.33  | | | | | | | | 
% 174.02/27.33  | | | | | | | End of split
% 174.02/27.33  | | | | | | | 
% 174.02/27.33  | | | | | | End of split
% 174.02/27.33  | | | | | | 
% 174.02/27.33  | | | | | Case 2:
% 174.02/27.33  | | | | | | 
% 174.02/27.33  | | | | | |   (322)  all_56_8 = e0 | all_56_11 = e0
% 174.02/27.33  | | | | | | 
% 174.02/27.33  | | | | | | REF_CLOSE: (7), (37), (50), (195), (322) are inconsistent by
% 174.02/27.33  | | | | | |            sub-proof #912.
% 174.02/27.33  | | | | | | 
% 174.02/27.33  | | | | | End of split
% 174.02/27.33  | | | | | 
% 174.02/27.33  | | | | Case 2:
% 174.02/27.33  | | | | | 
% 174.02/27.33  | | | | |   (323)  all_56_8 = e0 | all_56_14 = e0
% 174.02/27.33  | | | | | 
% 174.02/27.33  | | | | | REF_CLOSE: (7), (32), (37), (194), (323) are inconsistent by sub-proof
% 174.02/27.33  | | | | |            #914.
% 174.02/27.33  | | | | | 
% 174.02/27.33  | | | | End of split
% 174.02/27.33  | | | | 
% 174.02/27.33  | | | End of split
% 174.02/27.33  | | | 
% 174.02/27.33  | | End of split
% 174.02/27.33  | | 
% 174.02/27.33  | Case 2:
% 174.02/27.33  | | 
% 174.02/27.33  | |   (324)   ~ (all_56_15 = e0)
% 174.02/27.33  | |   (325)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) & (all_56_12 = e0
% 174.02/27.33  | |            | all_56_13 = e0 | all_56_14 = e0)
% 174.02/27.33  | | 
% 174.02/27.33  | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (9), (10), (13), (14), (15), (16),
% 174.02/27.33  | |            (20), (21), (22), (24), (25), (27), (28), (29), (31), (32), (33),
% 174.02/27.33  | |            (34), (36), (37), (38), (39), (40), (41), (42), (43), (45), (48),
% 174.02/27.33  | |            (49), (50), (51), (54), (55), (56), (57), (58), (60), (62), (64),
% 174.02/27.33  | |            (65), (67), (69), (70), (71), (72), (73), (74), (75), (76), (77),
% 174.02/27.33  | |            (78), (79), (80), (81), (82), (83), (84), (85), (87), (89), (90),
% 174.02/27.33  | |            (91), (93), (95), (97), (98), (99), (100), (102), (103), (104),
% 174.02/27.33  | |            (105), (106), (108), (109), (111), (113), (114), (115), (116),
% 174.02/27.33  | |            (117), (118), (119), (121), (122), (123), (124), (125), (126),
% 174.02/27.33  | |            (127), (129), (130), (131), (133), (134), (135), (136), (137),
% 174.02/27.33  | |            (139), (141), (143), (144), (145), (146), (148), (149), (150),
% 174.02/27.33  | |            (151), (152), (153), (154), (155), (156), (157), (159), (160),
% 174.02/27.33  | |            (161), (163), (164), (165), (166), (167), (168), (169), (171),
% 174.02/27.33  | |            (172), (173), (178), (180), (181), (182), (183), (185), (187),
% 174.02/27.33  | |            (190), (324), (325) are inconsistent by sub-proof #577.
% 174.02/27.33  | | 
% 174.02/27.33  | End of split
% 174.02/27.33  | 
% 174.02/27.33  End of proof
% 174.02/27.33  
% 174.02/27.33  Sub-proof #577 shows that the following formulas are inconsistent:
% 174.02/27.33  ----------------------------------------------------------------
% 174.02/27.33    (1)   ~ (all_52_12 = all_14_2)
% 174.02/27.33    (2)  op(e0, e0) = all_14_2
% 174.02/27.33    (3)  all_56_1 = all_52_4
% 174.02/27.33    (4)  op(e1, all_52_14) = all_58_11
% 174.02/27.33    (5)   ~ (all_10_2 = e0)
% 174.02/27.33    (6)   ~ (all_52_8 = all_52_12)
% 174.02/27.33    (7)   ~ (e3 = e1)
% 174.02/27.33    (8)  all_58_23 = all_52_7
% 174.02/27.33    (9)   ~ (all_52_4 = all_4_2)
% 174.02/27.33    (10)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.02/27.33    (11)  all_54_3 = all_52_12
% 174.02/27.33    (12)  all_56_5 = all_52_9
% 174.02/27.33    (13)  op(e2, e0) = all_52_13
% 174.02/27.33    (14)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 174.02/27.33    (15)   ~ (all_52_6 = all_4_2)
% 174.02/27.33    (16)   ~ (all_52_7 = all_6_1)
% 174.02/27.33    (17)   ~ (all_52_2 = all_6_1)
% 174.02/27.33    (18)  op(e1, e0) = all_52_14
% 174.02/27.33    (19)  all_56_15 = all_14_2
% 174.02/27.33    (20)  all_58_19 = all_6_1
% 174.02/27.33    (21)  all_54_1 = all_52_4
% 174.02/27.33    (22)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 174.02/27.33    (23)   ~ (all_52_9 = all_4_2)
% 174.02/27.33    (24)   ~ (all_52_1 = all_6_1)
% 174.02/27.33    (25)  all_54_6 = all_52_9
% 174.02/27.33    (26)  all_56_14 = all_52_11
% 174.02/27.33    (27)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 174.02/27.33    (28)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 174.02/27.33    (29)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 174.02/27.33    (30)  all_56_8 = all_10_2
% 174.02/27.33    (31)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.02/27.33    (32)  all_58_26 = all_10_2
% 174.02/27.33    (33)   ~ (all_52_4 = all_52_6)
% 174.02/27.33    (34)  all_58_31 = all_14_2
% 174.02/27.33    (35)   ~ (all_52_11 = all_10_2)
% 174.02/27.33    (36)   ~ (all_52_9 = all_52_13)
% 174.02/27.33    (37)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 174.02/27.33    (38)   ~ (all_52_4 = e0)
% 174.02/27.33    (39)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) & (all_56_12 = e0 |
% 174.02/27.33            all_56_13 = e0 | all_56_14 = e0)
% 174.02/27.33    (40)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 174.02/27.33    (41)  all_54_2 = all_52_8
% 174.02/27.33    (42)  all_56_11 = all_52_14
% 174.02/27.33    (43)   ~ (all_56_15 = e0)
% 174.02/27.33    (44)   ~ (all_52_6 = all_52_7)
% 174.02/27.33    (45)   ~ (all_52_9 = all_10_2)
% 174.02/27.33    (46)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.02/27.33    (47)  all_58_30 = all_52_14
% 174.02/27.33    (48)  all_58_27 = all_52_11
% 174.02/27.33    (49)  all_54_14 = all_52_11
% 174.02/27.33    (50)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 174.02/27.33    (51)  all_58_17 = all_52_1
% 174.02/27.33    (52)  all_56_9 = all_52_12
% 174.02/27.33    (53)   ~ (all_52_2 = all_52_6)
% 174.02/27.33    (54)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 174.02/27.33    (55)   ~ (e3 = e2)
% 174.02/27.33    (56)   ~ (all_52_11 = all_6_1)
% 174.02/27.33    (57)   ~ (all_52_4 = all_52_7)
% 174.02/27.33    (58)  all_58_0 = all_52_12
% 174.02/27.33    (59)   ~ (e2 = e1)
% 174.02/27.33    (60)   ~ (all_52_6 = all_10_2)
% 174.02/27.33    (61)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 174.02/27.33    (62)  op(e0, all_52_11) = all_58_14
% 174.02/27.33    (63)   ~ (all_52_2 = e0)
% 174.02/27.33    (64)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.02/27.33    (65)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 174.02/27.33    (66)   ~ (all_52_13 = all_14_2)
% 174.02/27.33    (67)   ~ (all_52_1 = all_4_2)
% 174.02/27.33    (68)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.02/27.33    (69)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 174.02/27.33    (70)  all_54_9 = all_52_6
% 174.02/27.33    (71)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.02/27.33    (72)   ~ (all_52_13 = all_52_14)
% 174.02/27.33    (73)  all_58_18 = all_52_2
% 174.02/27.33    (74)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.02/27.33    (75)  all_58_16 = e0
% 174.02/27.33    (76)  all_56_13 = all_52_7
% 174.02/27.33    (77)   ~ (all_52_12 = e0)
% 174.02/27.33    (78)  op(e0, all_52_7) = all_58_13
% 174.02/27.33    (79)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 174.02/27.33    (80)   ~ (all_52_8 = all_52_9)
% 174.02/27.33    (81)  all_56_2 = all_52_1
% 174.02/27.33    (82)   ~ (e3 = e0)
% 174.02/27.33    (83)  all_58_29 = all_52_13
% 174.02/27.33    (84)   ~ (all_52_1 = all_52_2)
% 174.02/27.33    (85)   ~ (all_4_2 = e0)
% 174.02/27.33    (86)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 174.02/27.33    (87)   ~ (all_52_6 = all_52_14)
% 174.02/27.33    (88)   ~ (all_52_7 = all_4_2)
% 174.02/27.33    (89)   ~ (all_52_8 = all_10_2)
% 174.02/27.33    (90)  all_56_4 = all_52_8
% 174.02/27.33    (91)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 174.02/27.33    (92)   ~ (all_52_1 = all_52_13)
% 174.02/27.33    (93)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 174.02/27.33    (94)  all_58_20 = all_52_4
% 174.02/27.33    (95)  all_54_15 = all_14_2
% 174.02/27.33    (96)   ~ (all_52_7 = all_52_11)
% 174.02/27.33    (97)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 174.02/27.33    (98)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 174.02/27.33    (99)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.02/27.33    (100)   ~ (all_52_8 = all_52_11)
% 174.02/27.33    (101)  all_56_12 = all_6_1
% 174.02/27.33    (102)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 174.02/27.33    (103)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 174.02/27.33    (104)  all_56_6 = all_52_2
% 174.02/27.33    (105)   ~ (all_52_1 = all_52_9)
% 174.02/27.33    (106)  all_58_24 = all_52_8
% 174.02/27.33    (107)   ~ (all_52_12 = all_52_14)
% 174.02/27.33    (108)   ~ (all_52_9 = all_52_11)
% 174.02/27.33    (109)  all_58_22 = all_52_6
% 174.02/27.33    (110)   ~ (all_52_4 = all_52_12)
% 174.02/27.33    (111)  all_56_3 = all_4_2
% 174.02/27.33    (112)   ~ (all_52_14 = all_10_2)
% 174.02/27.33    (113)   ~ (all_52_1 = e0)
% 174.02/27.33    (114)   ~ (all_52_4 = all_52_8)
% 174.02/27.33    (115)   ~ (all_52_14 = all_14_2)
% 174.02/27.33    (116)  all_58_25 = all_52_9
% 174.02/27.33    (117)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 174.02/27.33    (118)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.02/27.33             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.02/27.33    (119)   ~ (all_6_1 = e0)
% 174.02/27.33    (120)   ~ (all_52_2 = all_52_14)
% 174.02/27.33    (121)  all_58_21 = all_4_2
% 174.02/27.33    (122)  all_56_10 = all_52_13
% 174.02/27.33    (123)  op(e2, all_52_9) = all_58_6
% 174.02/27.33    (124)  all_56_0 = e0
% 174.02/27.33    (125)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 174.02/27.33    (126)   ~ (e2 = e0)
% 174.02/27.33    (127)  all_58_28 = all_52_12
% 174.02/27.33    (128)  op(e1, all_52_6) = all_58_9
% 174.02/27.33    (129)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 174.02/27.33    (130)   ~ (e1 = e0)
% 174.02/27.33    (131)  all_54_4 = all_52_1
% 174.02/27.33    (132)  all_56_7 = all_52_6
% 174.02/27.33    (133)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 174.02/27.33             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 174.02/27.33             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 174.02/27.33             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 174.02/27.33             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 174.02/27.33             (all_58_15 = e0))
% 174.02/27.33    (134)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 174.02/27.33    (135)   ~ (all_52_8 = e0)
% 174.02/27.33    (136)  all_54_5 = all_4_2
% 174.02/27.33    (137)  op(e2, all_52_13) = all_58_7
% 174.02/27.33    (138)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 174.02/27.33           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 174.02/27.33           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.02/27.33           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 174.02/27.33           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.02/27.33           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.02/27.33           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.02/27.33           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 174.02/27.33           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.02/27.33           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 174.02/27.33             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 174.02/27.33             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 174.02/27.33             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 174.02/27.33             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 174.02/27.33             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 174.02/27.33             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 174.02/27.33             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 174.02/27.33             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 174.02/27.33             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 174.02/27.33             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 174.02/27.33             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 174.02/27.33             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 174.02/27.33             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 174.02/27.33             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 174.02/27.33             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 174.02/27.33             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.02/27.33           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.02/27.33           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.02/27.33           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 174.02/27.33             all_58_30 = e0 & e1 = e0)
% 174.02/27.33    (139)  all_54_7 = all_52_13
% 174.02/27.33    (140)   ~ (all_52_2 = all_10_2)
% 174.02/27.33    (141)  all_54_11 = all_52_14
% 174.02/27.33    (142)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.02/27.33    (143)   ~ (all_52_12 = all_52_13)
% 174.02/27.33  
% 174.02/27.33  Begin of proof
% 174.02/27.33  | 
% 174.02/27.33  | ALPHA: (39) implies:
% 174.02/27.33  |   (144)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 174.02/27.33  | 
% 174.02/27.33  | REDUCE: (19), (43) imply:
% 174.02/27.33  |   (145)   ~ (all_14_2 = e0)
% 174.02/27.33  | 
% 174.02/27.33  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 174.02/27.33  |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 174.02/27.33  |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 174.02/27.33  |            (35), (36), (37), (38), (40), (41), (42), (44), (45), (46), (47),
% 174.02/27.33  |            (48), (49), (50), (51), (52), (53), (54), (55), (56), (57), (58),
% 174.02/27.33  |            (59), (60), (61), (62), (63), (64), (65), (66), (67), (68), (69),
% 174.02/27.33  |            (70), (71), (72), (73), (74), (75), (76), (77), (78), (79), (80),
% 174.02/27.33  |            (81), (82), (83), (84), (85), (86), (87), (88), (89), (90), (91),
% 174.02/27.33  |            (92), (93), (94), (95), (96), (97), (98), (99), (100), (101),
% 174.02/27.33  |            (102), (103), (104), (105), (106), (107), (108), (109), (110),
% 174.02/27.33  |            (111), (112), (113), (114), (115), (116), (117), (118), (119),
% 174.02/27.33  |            (120), (121), (122), (123), (124), (125), (126), (127), (128),
% 174.02/27.33  |            (129), (130), (131), (132), (133), (134), (135), (136), (137),
% 174.02/27.33  |            (138), (139), (140), (141), (142), (143), (144), (145) are
% 174.02/27.33  |            inconsistent by sub-proof #578.
% 174.02/27.33  | 
% 174.02/27.33  End of proof
% 174.02/27.33  
% 174.02/27.33  Sub-proof #578 shows that the following formulas are inconsistent:
% 174.02/27.33  ----------------------------------------------------------------
% 174.02/27.33    (1)   ~ (all_52_12 = all_14_2)
% 174.02/27.33    (2)  op(e0, e0) = all_14_2
% 174.02/27.33    (3)  all_56_1 = all_52_4
% 174.02/27.33    (4)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 174.02/27.33    (5)  op(e1, all_52_14) = all_58_11
% 174.02/27.33    (6)   ~ (all_10_2 = e0)
% 174.02/27.33    (7)   ~ (all_52_8 = all_52_12)
% 174.02/27.33    (8)   ~ (e3 = e1)
% 174.02/27.33    (9)  all_58_23 = all_52_7
% 174.02/27.33    (10)   ~ (all_52_4 = all_4_2)
% 174.02/27.33    (11)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.02/27.33    (12)  all_54_3 = all_52_12
% 174.02/27.33    (13)  all_56_5 = all_52_9
% 174.02/27.33    (14)  op(e2, e0) = all_52_13
% 174.02/27.33    (15)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 174.02/27.33    (16)   ~ (all_52_6 = all_4_2)
% 174.02/27.33    (17)   ~ (all_52_7 = all_6_1)
% 174.02/27.33    (18)   ~ (all_52_2 = all_6_1)
% 174.02/27.33    (19)  op(e1, e0) = all_52_14
% 174.02/27.33    (20)  all_56_15 = all_14_2
% 174.02/27.33    (21)  all_58_19 = all_6_1
% 174.02/27.33    (22)  all_54_1 = all_52_4
% 174.02/27.33    (23)   ~ (all_14_2 = e0)
% 174.02/27.33    (24)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 174.02/27.33    (25)   ~ (all_52_9 = all_4_2)
% 174.02/27.33    (26)   ~ (all_52_1 = all_6_1)
% 174.02/27.33    (27)  all_54_6 = all_52_9
% 174.02/27.33    (28)  all_56_14 = all_52_11
% 174.02/27.33    (29)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 174.02/27.33    (30)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 174.02/27.33    (31)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 174.02/27.33    (32)  all_56_8 = all_10_2
% 174.02/27.33    (33)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.02/27.33    (34)  all_58_26 = all_10_2
% 174.02/27.33    (35)   ~ (all_52_4 = all_52_6)
% 174.02/27.33    (36)  all_58_31 = all_14_2
% 174.02/27.33    (37)   ~ (all_52_11 = all_10_2)
% 174.02/27.33    (38)   ~ (all_52_9 = all_52_13)
% 174.02/27.33    (39)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 174.02/27.33    (40)   ~ (all_52_4 = e0)
% 174.02/27.33    (41)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 174.02/27.33    (42)  all_54_2 = all_52_8
% 174.02/27.33    (43)  all_56_11 = all_52_14
% 174.02/27.33    (44)   ~ (all_52_6 = all_52_7)
% 174.02/27.33    (45)   ~ (all_52_9 = all_10_2)
% 174.02/27.33    (46)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.02/27.33    (47)  all_58_30 = all_52_14
% 174.02/27.33    (48)  all_58_27 = all_52_11
% 174.02/27.33    (49)  all_54_14 = all_52_11
% 174.02/27.33    (50)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 174.02/27.33    (51)  all_58_17 = all_52_1
% 174.02/27.33    (52)  all_56_9 = all_52_12
% 174.02/27.33    (53)   ~ (all_52_2 = all_52_6)
% 174.02/27.33    (54)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 174.02/27.33    (55)   ~ (e3 = e2)
% 174.02/27.33    (56)   ~ (all_52_11 = all_6_1)
% 174.02/27.33    (57)   ~ (all_52_4 = all_52_7)
% 174.02/27.33    (58)  all_58_0 = all_52_12
% 174.02/27.33    (59)   ~ (e2 = e1)
% 174.02/27.33    (60)   ~ (all_52_6 = all_10_2)
% 174.02/27.33    (61)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 174.02/27.33    (62)  op(e0, all_52_11) = all_58_14
% 174.02/27.33    (63)   ~ (all_52_2 = e0)
% 174.02/27.33    (64)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.02/27.33    (65)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 174.02/27.33    (66)   ~ (all_52_13 = all_14_2)
% 174.02/27.33    (67)   ~ (all_52_1 = all_4_2)
% 174.02/27.33    (68)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.02/27.33    (69)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 174.02/27.33    (70)  all_54_9 = all_52_6
% 174.02/27.33    (71)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.02/27.33    (72)   ~ (all_52_13 = all_52_14)
% 174.02/27.33    (73)  all_58_18 = all_52_2
% 174.02/27.33    (74)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.02/27.33    (75)  all_58_16 = e0
% 174.02/27.33    (76)  all_56_13 = all_52_7
% 174.02/27.33    (77)   ~ (all_52_12 = e0)
% 174.02/27.33    (78)  op(e0, all_52_7) = all_58_13
% 174.02/27.33    (79)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 174.02/27.33    (80)   ~ (all_52_8 = all_52_9)
% 174.02/27.33    (81)  all_56_2 = all_52_1
% 174.02/27.34    (82)   ~ (e3 = e0)
% 174.02/27.34    (83)  all_58_29 = all_52_13
% 174.02/27.34    (84)   ~ (all_52_1 = all_52_2)
% 174.02/27.34    (85)   ~ (all_4_2 = e0)
% 174.02/27.34    (86)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 174.02/27.34    (87)   ~ (all_52_6 = all_52_14)
% 174.02/27.34    (88)   ~ (all_52_7 = all_4_2)
% 174.02/27.34    (89)   ~ (all_52_8 = all_10_2)
% 174.02/27.34    (90)  all_56_4 = all_52_8
% 174.02/27.34    (91)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 174.02/27.34    (92)   ~ (all_52_1 = all_52_13)
% 174.02/27.34    (93)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 174.02/27.34    (94)  all_58_20 = all_52_4
% 174.02/27.34    (95)  all_54_15 = all_14_2
% 174.02/27.34    (96)   ~ (all_52_7 = all_52_11)
% 174.02/27.34    (97)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 174.02/27.34    (98)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 174.02/27.34    (99)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.02/27.34    (100)   ~ (all_52_8 = all_52_11)
% 174.02/27.34    (101)  all_56_12 = all_6_1
% 174.02/27.34    (102)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 174.02/27.34    (103)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 174.02/27.34    (104)  all_56_6 = all_52_2
% 174.02/27.34    (105)   ~ (all_52_1 = all_52_9)
% 174.02/27.34    (106)  all_58_24 = all_52_8
% 174.02/27.34    (107)   ~ (all_52_12 = all_52_14)
% 174.02/27.34    (108)   ~ (all_52_9 = all_52_11)
% 174.02/27.34    (109)  all_58_22 = all_52_6
% 174.02/27.34    (110)   ~ (all_52_4 = all_52_12)
% 174.02/27.34    (111)  all_56_3 = all_4_2
% 174.02/27.34    (112)   ~ (all_52_14 = all_10_2)
% 174.02/27.34    (113)   ~ (all_52_1 = e0)
% 174.02/27.34    (114)   ~ (all_52_4 = all_52_8)
% 174.02/27.34    (115)   ~ (all_52_14 = all_14_2)
% 174.02/27.34    (116)  all_58_25 = all_52_9
% 174.02/27.34    (117)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 174.02/27.34    (118)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.02/27.34             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.02/27.34    (119)   ~ (all_6_1 = e0)
% 174.02/27.34    (120)   ~ (all_52_2 = all_52_14)
% 174.02/27.34    (121)  all_58_21 = all_4_2
% 174.02/27.34    (122)  all_56_10 = all_52_13
% 174.02/27.34    (123)  op(e2, all_52_9) = all_58_6
% 174.02/27.34    (124)  all_56_0 = e0
% 174.02/27.34    (125)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 174.02/27.34    (126)   ~ (e2 = e0)
% 174.02/27.34    (127)  all_58_28 = all_52_12
% 174.02/27.34    (128)  op(e1, all_52_6) = all_58_9
% 174.02/27.34    (129)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 174.02/27.34    (130)   ~ (e1 = e0)
% 174.02/27.34    (131)  all_54_4 = all_52_1
% 174.02/27.34    (132)  all_56_7 = all_52_6
% 174.02/27.34    (133)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 174.02/27.34             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 174.02/27.34             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 174.02/27.34             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 174.02/27.34             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 174.02/27.34             (all_58_15 = e0))
% 174.02/27.34    (134)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 174.02/27.34    (135)   ~ (all_52_8 = e0)
% 174.02/27.34    (136)  all_54_5 = all_4_2
% 174.02/27.34    (137)  op(e2, all_52_13) = all_58_7
% 174.02/27.34    (138)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 174.02/27.34           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 174.02/27.34           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.02/27.34           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 174.02/27.34           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.02/27.34           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.02/27.34           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.02/27.34           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 174.02/27.34           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.02/27.34           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 174.02/27.34             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 174.02/27.34             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 174.02/27.34             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 174.02/27.34             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 174.02/27.34             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 174.02/27.34             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 174.02/27.34             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 174.02/27.34             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 174.02/27.34             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 174.02/27.34             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 174.02/27.34             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 174.02/27.34             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 174.02/27.34             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 174.02/27.34             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 174.02/27.34             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 174.02/27.34             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.02/27.34           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.02/27.34           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.02/27.34           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 174.02/27.34             all_58_30 = e0 & e1 = e0)
% 174.02/27.34    (139)  all_54_7 = all_52_13
% 174.02/27.34    (140)   ~ (all_52_2 = all_10_2)
% 174.02/27.34    (141)  all_54_11 = all_52_14
% 174.02/27.34    (142)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.02/27.34    (143)   ~ (all_52_12 = all_52_13)
% 174.02/27.34  
% 174.02/27.34  Begin of proof
% 174.02/27.34  | 
% 174.02/27.34  | BETA: splitting (91) gives:
% 174.02/27.34  | 
% 174.02/27.34  | Case 1:
% 174.02/27.34  | | 
% 174.02/27.34  | |   (144)  all_56_2 = e0
% 174.02/27.34  | | 
% 174.02/27.34  | | COMBINE_EQS: (81), (144) imply:
% 174.02/27.34  | |   (145)  all_52_1 = e0
% 174.02/27.34  | | 
% 174.02/27.34  | | REDUCE: (113), (145) imply:
% 174.02/27.34  | |   (146)  $false
% 174.02/27.34  | | 
% 174.02/27.34  | | CLOSE: (146) is inconsistent.
% 174.02/27.34  | | 
% 174.02/27.34  | Case 2:
% 174.02/27.34  | | 
% 174.02/27.34  | |   (147)   ~ (all_56_2 = e0)
% 174.02/27.34  | |   (148)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 174.02/27.34  | | 
% 174.02/27.34  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 174.02/27.34  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 174.02/27.34  | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 174.02/27.34  | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (44), (45),
% 174.02/27.34  | |            (46), (47), (48), (49), (50), (51), (52), (53), (54), (55), (56),
% 174.02/27.34  | |            (57), (58), (59), (60), (61), (62), (63), (64), (65), (66), (67),
% 174.02/27.34  | |            (68), (69), (70), (71), (72), (73), (74), (75), (76), (77), (78),
% 174.02/27.34  | |            (79), (80), (81), (82), (83), (84), (85), (86), (87), (88), (89),
% 174.02/27.34  | |            (90), (92), (93), (94), (95), (96), (97), (98), (99), (100),
% 174.02/27.34  | |            (101), (102), (103), (104), (105), (106), (107), (108), (109),
% 174.02/27.34  | |            (110), (111), (112), (113), (114), (115), (116), (117), (118),
% 174.02/27.34  | |            (119), (120), (121), (122), (123), (124), (125), (126), (127),
% 174.02/27.34  | |            (128), (129), (130), (131), (132), (133), (134), (135), (136),
% 174.02/27.34  | |            (137), (138), (139), (140), (141), (142), (143), (148) are
% 174.02/27.34  | |            inconsistent by sub-proof #579.
% 174.02/27.34  | | 
% 174.02/27.34  | End of split
% 174.02/27.34  | 
% 174.02/27.34  End of proof
% 174.02/27.34  
% 174.02/27.34  Sub-proof #579 shows that the following formulas are inconsistent:
% 174.02/27.34  ----------------------------------------------------------------
% 174.02/27.34    (1)   ~ (all_52_12 = all_14_2)
% 174.02/27.34    (2)  op(e0, e0) = all_14_2
% 174.02/27.34    (3)  all_56_1 = all_52_4
% 174.02/27.34    (4)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 174.02/27.34    (5)  op(e1, all_52_14) = all_58_11
% 174.02/27.34    (6)   ~ (all_10_2 = e0)
% 174.02/27.34    (7)   ~ (all_52_8 = all_52_12)
% 174.02/27.34    (8)   ~ (e3 = e1)
% 174.02/27.34    (9)  all_58_23 = all_52_7
% 174.02/27.34    (10)   ~ (all_52_4 = all_4_2)
% 174.02/27.34    (11)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.02/27.34    (12)  all_54_3 = all_52_12
% 174.02/27.34    (13)  all_56_5 = all_52_9
% 174.02/27.34    (14)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 174.02/27.34    (15)  op(e2, e0) = all_52_13
% 174.02/27.34    (16)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 174.02/27.34    (17)   ~ (all_52_6 = all_4_2)
% 174.02/27.34    (18)   ~ (all_52_7 = all_6_1)
% 174.02/27.34    (19)   ~ (all_52_2 = all_6_1)
% 174.02/27.34    (20)  op(e1, e0) = all_52_14
% 174.02/27.34    (21)  all_56_15 = all_14_2
% 174.02/27.34    (22)  all_58_19 = all_6_1
% 174.02/27.34    (23)  all_54_1 = all_52_4
% 174.02/27.34    (24)   ~ (all_14_2 = e0)
% 174.02/27.34    (25)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 174.02/27.34    (26)   ~ (all_52_9 = all_4_2)
% 174.02/27.34    (27)   ~ (all_52_1 = all_6_1)
% 174.02/27.34    (28)  all_54_6 = all_52_9
% 174.02/27.34    (29)  all_56_14 = all_52_11
% 174.02/27.34    (30)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 174.14/27.34    (31)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 174.14/27.34    (32)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 174.14/27.34    (33)  all_56_8 = all_10_2
% 174.14/27.34    (34)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.14/27.34    (35)  all_58_26 = all_10_2
% 174.14/27.34    (36)   ~ (all_52_4 = all_52_6)
% 174.14/27.34    (37)  all_58_31 = all_14_2
% 174.14/27.34    (38)   ~ (all_52_11 = all_10_2)
% 174.14/27.34    (39)   ~ (all_52_9 = all_52_13)
% 174.14/27.34    (40)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 174.14/27.34    (41)   ~ (all_52_4 = e0)
% 174.14/27.34    (42)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 174.14/27.34    (43)  all_54_2 = all_52_8
% 174.14/27.34    (44)  all_56_11 = all_52_14
% 174.14/27.34    (45)   ~ (all_52_6 = all_52_7)
% 174.14/27.34    (46)   ~ (all_52_9 = all_10_2)
% 174.14/27.34    (47)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.14/27.34    (48)  all_58_30 = all_52_14
% 174.14/27.34    (49)  all_58_27 = all_52_11
% 174.14/27.34    (50)  all_54_14 = all_52_11
% 174.14/27.34    (51)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 174.14/27.34    (52)  all_58_17 = all_52_1
% 174.14/27.34    (53)  all_56_9 = all_52_12
% 174.14/27.34    (54)   ~ (all_52_2 = all_52_6)
% 174.14/27.34    (55)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 174.14/27.34    (56)   ~ (e3 = e2)
% 174.14/27.34    (57)   ~ (all_52_11 = all_6_1)
% 174.14/27.34    (58)   ~ (all_52_4 = all_52_7)
% 174.14/27.34    (59)  all_58_0 = all_52_12
% 174.14/27.34    (60)   ~ (e2 = e1)
% 174.14/27.34    (61)   ~ (all_52_6 = all_10_2)
% 174.14/27.34    (62)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 174.14/27.34    (63)  op(e0, all_52_11) = all_58_14
% 174.14/27.34    (64)   ~ (all_52_2 = e0)
% 174.14/27.34    (65)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.14/27.34    (66)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 174.14/27.34    (67)   ~ (all_52_13 = all_14_2)
% 174.14/27.34    (68)   ~ (all_52_1 = all_4_2)
% 174.14/27.34    (69)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.14/27.34    (70)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 174.14/27.34    (71)  all_54_9 = all_52_6
% 174.14/27.34    (72)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.14/27.34    (73)   ~ (all_52_13 = all_52_14)
% 174.14/27.34    (74)  all_58_18 = all_52_2
% 174.14/27.34    (75)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.14/27.34    (76)  all_58_16 = e0
% 174.14/27.34    (77)  all_56_13 = all_52_7
% 174.14/27.34    (78)   ~ (all_52_12 = e0)
% 174.14/27.34    (79)  op(e0, all_52_7) = all_58_13
% 174.14/27.34    (80)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 174.14/27.34    (81)   ~ (all_52_8 = all_52_9)
% 174.14/27.34    (82)  all_56_2 = all_52_1
% 174.14/27.34    (83)   ~ (e3 = e0)
% 174.14/27.34    (84)  all_58_29 = all_52_13
% 174.14/27.34    (85)   ~ (all_52_1 = all_52_2)
% 174.14/27.34    (86)   ~ (all_4_2 = e0)
% 174.14/27.34    (87)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 174.14/27.34    (88)   ~ (all_52_6 = all_52_14)
% 174.14/27.34    (89)   ~ (all_52_7 = all_4_2)
% 174.14/27.34    (90)   ~ (all_52_8 = all_10_2)
% 174.14/27.34    (91)  all_56_4 = all_52_8
% 174.14/27.34    (92)   ~ (all_52_1 = all_52_13)
% 174.14/27.34    (93)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 174.14/27.34    (94)  all_58_20 = all_52_4
% 174.14/27.34    (95)  all_54_15 = all_14_2
% 174.14/27.34    (96)   ~ (all_52_7 = all_52_11)
% 174.14/27.34    (97)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 174.14/27.34    (98)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 174.14/27.34    (99)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.14/27.34    (100)   ~ (all_52_8 = all_52_11)
% 174.14/27.34    (101)  all_56_12 = all_6_1
% 174.14/27.34    (102)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 174.14/27.34    (103)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 174.14/27.34    (104)  all_56_6 = all_52_2
% 174.14/27.34    (105)   ~ (all_52_1 = all_52_9)
% 174.14/27.34    (106)  all_58_24 = all_52_8
% 174.14/27.34    (107)   ~ (all_52_12 = all_52_14)
% 174.14/27.34    (108)   ~ (all_52_9 = all_52_11)
% 174.14/27.34    (109)  all_58_22 = all_52_6
% 174.14/27.34    (110)   ~ (all_52_4 = all_52_12)
% 174.14/27.34    (111)  all_56_3 = all_4_2
% 174.14/27.34    (112)   ~ (all_52_14 = all_10_2)
% 174.14/27.34    (113)   ~ (all_52_1 = e0)
% 174.14/27.34    (114)   ~ (all_52_4 = all_52_8)
% 174.14/27.34    (115)   ~ (all_52_14 = all_14_2)
% 174.14/27.34    (116)  all_58_25 = all_52_9
% 174.14/27.34    (117)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 174.14/27.34    (118)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.14/27.34             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.14/27.34    (119)   ~ (all_6_1 = e0)
% 174.14/27.34    (120)   ~ (all_52_2 = all_52_14)
% 174.14/27.34    (121)  all_58_21 = all_4_2
% 174.14/27.34    (122)  all_56_10 = all_52_13
% 174.14/27.34    (123)  op(e2, all_52_9) = all_58_6
% 174.14/27.34    (124)  all_56_0 = e0
% 174.14/27.34    (125)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 174.14/27.34    (126)   ~ (e2 = e0)
% 174.14/27.34    (127)  all_58_28 = all_52_12
% 174.14/27.34    (128)  op(e1, all_52_6) = all_58_9
% 174.14/27.34    (129)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 174.14/27.34    (130)   ~ (e1 = e0)
% 174.14/27.34    (131)  all_54_4 = all_52_1
% 174.14/27.34    (132)  all_56_7 = all_52_6
% 174.14/27.34    (133)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 174.14/27.34             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 174.14/27.34             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 174.14/27.34             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 174.14/27.34             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 174.14/27.34             (all_58_15 = e0))
% 174.14/27.34    (134)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 174.14/27.34    (135)   ~ (all_52_8 = e0)
% 174.14/27.34    (136)  all_54_5 = all_4_2
% 174.14/27.34    (137)  op(e2, all_52_13) = all_58_7
% 174.14/27.34    (138)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 174.14/27.34           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 174.14/27.34           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.14/27.34           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 174.14/27.34           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.14/27.34           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.14/27.34           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.14/27.34           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 174.14/27.34           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.14/27.34           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 174.14/27.34             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 174.14/27.34             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 174.14/27.34             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 174.14/27.34             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 174.14/27.34             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 174.14/27.34             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 174.14/27.34             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 174.14/27.34             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 174.14/27.34             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 174.14/27.34             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 174.14/27.34             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 174.14/27.34             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 174.14/27.34             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 174.14/27.34             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 174.14/27.34             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 174.14/27.34             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.14/27.34           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.14/27.34           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.14/27.34           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 174.14/27.34             all_58_30 = e0 & e1 = e0)
% 174.14/27.34    (139)  all_54_7 = all_52_13
% 174.14/27.34    (140)   ~ (all_52_2 = all_10_2)
% 174.14/27.34    (141)  all_54_11 = all_52_14
% 174.14/27.34    (142)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.14/27.34    (143)   ~ (all_52_12 = all_52_13)
% 174.14/27.34  
% 174.14/27.34  Begin of proof
% 174.14/27.34  | 
% 174.14/27.34  | BETA: splitting (98) gives:
% 174.14/27.34  | 
% 174.14/27.34  | Case 1:
% 174.14/27.34  | | 
% 174.14/27.34  | |   (144)  all_56_6 = e0
% 174.14/27.34  | | 
% 174.14/27.34  | | COMBINE_EQS: (104), (144) imply:
% 174.14/27.34  | |   (145)  all_52_2 = e0
% 174.14/27.34  | | 
% 174.14/27.34  | | REDUCE: (64), (145) imply:
% 174.14/27.34  | |   (146)  $false
% 174.14/27.34  | | 
% 174.14/27.34  | | CLOSE: (146) is inconsistent.
% 174.14/27.34  | | 
% 174.14/27.34  | Case 2:
% 174.14/27.34  | | 
% 174.14/27.34  | |   (147)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 174.14/27.34  | | 
% 174.14/27.34  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 174.14/27.34  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 174.14/27.34  | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 174.14/27.34  | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (44), (45),
% 174.14/27.34  | |            (46), (47), (48), (49), (50), (51), (52), (53), (54), (55), (56),
% 174.14/27.34  | |            (57), (58), (59), (60), (61), (62), (63), (65), (66), (67), (68),
% 174.14/27.34  | |            (69), (70), (71), (72), (73), (74), (75), (76), (77), (78), (79),
% 174.14/27.34  | |            (80), (81), (82), (83), (84), (85), (86), (87), (88), (89), (90),
% 174.14/27.34  | |            (91), (92), (93), (94), (95), (96), (97), (99), (100), (101),
% 174.14/27.34  | |            (102), (103), (104), (105), (106), (107), (108), (109), (110),
% 174.14/27.34  | |            (111), (112), (113), (114), (115), (116), (117), (118), (119),
% 174.14/27.34  | |            (120), (121), (122), (123), (124), (125), (126), (127), (128),
% 174.14/27.34  | |            (129), (130), (131), (132), (133), (134), (135), (136), (137),
% 174.14/27.34  | |            (138), (139), (140), (141), (142), (143), (147) are inconsistent
% 174.14/27.34  | |            by sub-proof #580.
% 174.14/27.34  | | 
% 174.14/27.34  | End of split
% 174.14/27.34  | 
% 174.14/27.34  End of proof
% 174.14/27.34  
% 174.14/27.34  Sub-proof #580 shows that the following formulas are inconsistent:
% 174.14/27.34  ----------------------------------------------------------------
% 174.14/27.34    (1)   ~ (all_52_12 = all_14_2)
% 174.14/27.34    (2)  op(e0, e0) = all_14_2
% 174.14/27.34    (3)  all_56_1 = all_52_4
% 174.14/27.34    (4)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 174.14/27.34    (5)  op(e1, all_52_14) = all_58_11
% 174.14/27.34    (6)   ~ (all_10_2 = e0)
% 174.14/27.34    (7)   ~ (all_52_8 = all_52_12)
% 174.14/27.34    (8)   ~ (e3 = e1)
% 174.14/27.34    (9)  all_58_23 = all_52_7
% 174.14/27.34    (10)   ~ (all_52_4 = all_4_2)
% 174.14/27.34    (11)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.14/27.34    (12)  all_54_3 = all_52_12
% 174.14/27.34    (13)  all_56_5 = all_52_9
% 174.14/27.34    (14)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 174.14/27.34    (15)  op(e2, e0) = all_52_13
% 174.14/27.34    (16)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 174.14/27.34    (17)   ~ (all_52_6 = all_4_2)
% 174.14/27.34    (18)   ~ (all_52_7 = all_6_1)
% 174.14/27.34    (19)   ~ (all_52_2 = all_6_1)
% 174.14/27.34    (20)  op(e1, e0) = all_52_14
% 174.14/27.34    (21)  all_56_15 = all_14_2
% 174.14/27.34    (22)  all_58_19 = all_6_1
% 174.14/27.34    (23)  all_54_1 = all_52_4
% 174.14/27.34    (24)   ~ (all_14_2 = e0)
% 174.14/27.34    (25)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 174.14/27.34    (26)   ~ (all_52_9 = all_4_2)
% 174.14/27.34    (27)   ~ (all_52_1 = all_6_1)
% 174.14/27.34    (28)  all_54_6 = all_52_9
% 174.14/27.34    (29)  all_56_14 = all_52_11
% 174.14/27.34    (30)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 174.14/27.34    (31)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 174.14/27.34    (32)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 174.14/27.34    (33)  all_56_8 = all_10_2
% 174.14/27.34    (34)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.14/27.34    (35)  all_58_26 = all_10_2
% 174.14/27.34    (36)   ~ (all_52_4 = all_52_6)
% 174.14/27.34    (37)  all_58_31 = all_14_2
% 174.14/27.34    (38)   ~ (all_52_11 = all_10_2)
% 174.14/27.34    (39)   ~ (all_52_9 = all_52_13)
% 174.14/27.34    (40)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 174.14/27.34    (41)   ~ (all_52_4 = e0)
% 174.14/27.34    (42)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 174.14/27.34    (43)  all_54_2 = all_52_8
% 174.14/27.34    (44)  all_56_11 = all_52_14
% 174.14/27.34    (45)   ~ (all_52_6 = all_52_7)
% 174.14/27.34    (46)   ~ (all_52_9 = all_10_2)
% 174.14/27.34    (47)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.14/27.34    (48)  all_58_30 = all_52_14
% 174.14/27.34    (49)  all_58_27 = all_52_11
% 174.14/27.34    (50)  all_54_14 = all_52_11
% 174.14/27.34    (51)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 174.14/27.34    (52)  all_58_17 = all_52_1
% 174.14/27.34    (53)  all_56_9 = all_52_12
% 174.14/27.34    (54)   ~ (all_52_2 = all_52_6)
% 174.14/27.34    (55)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 174.14/27.34    (56)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 174.14/27.34    (57)   ~ (e3 = e2)
% 174.14/27.34    (58)   ~ (all_52_11 = all_6_1)
% 174.14/27.34    (59)   ~ (all_52_4 = all_52_7)
% 174.14/27.34    (60)  all_58_0 = all_52_12
% 174.14/27.34    (61)   ~ (e2 = e1)
% 174.14/27.34    (62)   ~ (all_52_6 = all_10_2)
% 174.14/27.34    (63)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 174.14/27.34    (64)  op(e0, all_52_11) = all_58_14
% 174.14/27.34    (65)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.14/27.34    (66)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 174.14/27.34    (67)   ~ (all_52_13 = all_14_2)
% 174.14/27.34    (68)   ~ (all_52_1 = all_4_2)
% 174.14/27.34    (69)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.14/27.34    (70)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 174.14/27.34    (71)  all_54_9 = all_52_6
% 174.14/27.34    (72)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.14/27.34    (73)   ~ (all_52_13 = all_52_14)
% 174.14/27.34    (74)  all_58_18 = all_52_2
% 174.14/27.34    (75)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.14/27.34    (76)  all_58_16 = e0
% 174.14/27.34    (77)  all_56_13 = all_52_7
% 174.14/27.34    (78)   ~ (all_52_12 = e0)
% 174.14/27.34    (79)  op(e0, all_52_7) = all_58_13
% 174.14/27.34    (80)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 174.14/27.34    (81)   ~ (all_52_8 = all_52_9)
% 174.14/27.34    (82)  all_56_2 = all_52_1
% 174.14/27.34    (83)   ~ (e3 = e0)
% 174.14/27.34    (84)  all_58_29 = all_52_13
% 174.14/27.34    (85)   ~ (all_52_1 = all_52_2)
% 174.14/27.34    (86)   ~ (all_4_2 = e0)
% 174.14/27.34    (87)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 174.14/27.34    (88)   ~ (all_52_6 = all_52_14)
% 174.14/27.34    (89)   ~ (all_52_7 = all_4_2)
% 174.14/27.34    (90)   ~ (all_52_8 = all_10_2)
% 174.14/27.34    (91)  all_56_4 = all_52_8
% 174.14/27.34    (92)   ~ (all_52_1 = all_52_13)
% 174.14/27.34    (93)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 174.14/27.34    (94)  all_58_20 = all_52_4
% 174.14/27.34    (95)  all_54_15 = all_14_2
% 174.14/27.34    (96)   ~ (all_52_7 = all_52_11)
% 174.14/27.34    (97)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 174.14/27.34    (98)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.14/27.34    (99)   ~ (all_52_8 = all_52_11)
% 174.14/27.34    (100)  all_56_12 = all_6_1
% 174.14/27.34    (101)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 174.14/27.34    (102)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 174.14/27.34    (103)  all_56_6 = all_52_2
% 174.14/27.34    (104)   ~ (all_52_1 = all_52_9)
% 174.14/27.34    (105)  all_58_24 = all_52_8
% 174.14/27.34    (106)   ~ (all_52_12 = all_52_14)
% 174.14/27.34    (107)   ~ (all_52_9 = all_52_11)
% 174.14/27.34    (108)  all_58_22 = all_52_6
% 174.14/27.34    (109)   ~ (all_52_4 = all_52_12)
% 174.14/27.34    (110)  all_56_3 = all_4_2
% 174.14/27.34    (111)   ~ (all_52_14 = all_10_2)
% 174.14/27.34    (112)   ~ (all_52_1 = e0)
% 174.14/27.34    (113)   ~ (all_52_4 = all_52_8)
% 174.14/27.34    (114)   ~ (all_52_14 = all_14_2)
% 174.14/27.34    (115)  all_58_25 = all_52_9
% 174.14/27.34    (116)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 174.14/27.34    (117)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.14/27.34             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.14/27.34    (118)   ~ (all_6_1 = e0)
% 174.14/27.34    (119)   ~ (all_52_2 = all_52_14)
% 174.14/27.34    (120)  all_58_21 = all_4_2
% 174.14/27.34    (121)  all_56_10 = all_52_13
% 174.14/27.34    (122)  op(e2, all_52_9) = all_58_6
% 174.14/27.34    (123)  all_56_0 = e0
% 174.14/27.34    (124)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 174.14/27.34    (125)   ~ (e2 = e0)
% 174.14/27.34    (126)  all_58_28 = all_52_12
% 174.14/27.34    (127)  op(e1, all_52_6) = all_58_9
% 174.14/27.34    (128)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 174.14/27.34    (129)   ~ (e1 = e0)
% 174.14/27.34    (130)  all_54_4 = all_52_1
% 174.14/27.34    (131)  all_56_7 = all_52_6
% 174.14/27.34    (132)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 174.14/27.34             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 174.14/27.34             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 174.14/27.34             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 174.14/27.34             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 174.14/27.34             (all_58_15 = e0))
% 174.14/27.34    (133)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 174.14/27.34    (134)   ~ (all_52_8 = e0)
% 174.14/27.34    (135)  all_54_5 = all_4_2
% 174.14/27.34    (136)  op(e2, all_52_13) = all_58_7
% 174.14/27.34    (137)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 174.14/27.34           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 174.14/27.34           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.14/27.34           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 174.14/27.34           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.14/27.34           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.14/27.34           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.14/27.34           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 174.14/27.34           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.14/27.34           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 174.14/27.34             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 174.14/27.34             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 174.14/27.34             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 174.14/27.34             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 174.14/27.34             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 174.14/27.34             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 174.14/27.34             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 174.14/27.34             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 174.14/27.34             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 174.14/27.34             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 174.14/27.34             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 174.14/27.34             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 174.14/27.34             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 174.14/27.34             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 174.14/27.34             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 174.14/27.34             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.14/27.34           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.14/27.34           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.14/27.34           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 174.14/27.34             all_58_30 = e0 & e1 = e0)
% 174.14/27.34    (138)  all_54_7 = all_52_13
% 174.14/27.34    (139)   ~ (all_52_2 = all_10_2)
% 174.14/27.34    (140)  all_54_11 = all_52_14
% 174.14/27.34    (141)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.14/27.34    (142)   ~ (all_52_12 = all_52_13)
% 174.14/27.34  
% 174.14/27.34  Begin of proof
% 174.14/27.34  | 
% 174.14/27.34  | BETA: splitting (80) gives:
% 174.14/27.34  | 
% 174.14/27.34  | Case 1:
% 174.14/27.34  | | 
% 174.14/27.35  | |   (143)  all_56_4 = e0
% 174.14/27.35  | | 
% 174.14/27.35  | | COMBINE_EQS: (91), (143) imply:
% 174.14/27.35  | |   (144)  all_52_8 = e0
% 174.14/27.35  | | 
% 174.14/27.35  | | REDUCE: (134), (144) imply:
% 174.14/27.35  | |   (145)  $false
% 174.14/27.35  | | 
% 174.14/27.35  | | CLOSE: (145) is inconsistent.
% 174.14/27.35  | | 
% 174.14/27.35  | Case 2:
% 174.14/27.35  | | 
% 174.14/27.35  | |   (146)   ~ (all_56_4 = e0)
% 174.14/27.35  | |   (147)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 174.14/27.35  | | 
% 174.14/27.35  | | BETA: splitting (16) gives:
% 174.14/27.35  | | 
% 174.14/27.35  | | Case 1:
% 174.14/27.35  | | | 
% 174.14/27.35  | | |   (148)  all_54_5 = e0
% 174.14/27.35  | | | 
% 174.14/27.35  | | | REF_CLOSE: (86), (135), (148) are inconsistent by sub-proof #983.
% 174.14/27.35  | | | 
% 174.14/27.35  | | Case 2:
% 174.14/27.35  | | | 
% 174.14/27.35  | | |   (149)   ~ (all_54_5 = e0)
% 174.14/27.35  | | |   (150)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 174.14/27.35  | | | 
% 174.14/27.35  | | | BETA: splitting (102) gives:
% 174.14/27.35  | | | 
% 174.14/27.35  | | | Case 1:
% 174.14/27.35  | | | | 
% 174.14/27.35  | | | |   (151)  all_54_4 = e0
% 174.14/27.35  | | | | 
% 174.14/27.35  | | | | REF_CLOSE: (112), (130), (151) are inconsistent by sub-proof #902.
% 174.14/27.35  | | | | 
% 174.14/27.35  | | | Case 2:
% 174.14/27.35  | | | | 
% 174.14/27.35  | | | |   (152)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 174.14/27.35  | | | | 
% 174.14/27.35  | | | | BETA: splitting (25) gives:
% 174.14/27.35  | | | | 
% 174.14/27.35  | | | | Case 1:
% 174.14/27.35  | | | | | 
% 174.14/27.35  | | | | |   (153)  all_54_3 = e0
% 174.14/27.35  | | | | | 
% 174.14/27.35  | | | | | REF_CLOSE: (12), (78), (153) are inconsistent by sub-proof #898.
% 174.14/27.35  | | | | | 
% 174.14/27.35  | | | | Case 2:
% 174.14/27.35  | | | | | 
% 174.14/27.35  | | | | |   (154)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 174.14/27.35  | | | | | 
% 174.14/27.35  | | | | | BETA: splitting (70) gives:
% 174.14/27.35  | | | | | 
% 174.14/27.35  | | | | | Case 1:
% 174.14/27.35  | | | | | | 
% 174.14/27.35  | | | | | |   (155)  all_54_1 = e0
% 174.14/27.35  | | | | | | 
% 174.14/27.35  | | | | | | REF_CLOSE: (23), (41), (155) are inconsistent by sub-proof #866.
% 174.14/27.35  | | | | | | 
% 174.14/27.35  | | | | | Case 2:
% 174.14/27.35  | | | | | | 
% 174.14/27.35  | | | | | |   (156)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 174.14/27.35  | | | | | | 
% 174.14/27.35  | | | | | | BETA: splitting (63) gives:
% 174.14/27.35  | | | | | | 
% 174.14/27.35  | | | | | | Case 1:
% 174.14/27.35  | | | | | | | 
% 174.14/27.35  | | | | | | |   (157)  all_54_15 = e0
% 174.14/27.35  | | | | | | | 
% 174.14/27.35  | | | | | | | COMBINE_EQS: (95), (157) imply:
% 174.14/27.35  | | | | | | |   (158)  all_14_2 = e0
% 174.14/27.35  | | | | | | | 
% 174.14/27.35  | | | | | | | REDUCE: (24), (158) imply:
% 174.14/27.35  | | | | | | |   (159)  $false
% 174.14/27.35  | | | | | | | 
% 174.14/27.35  | | | | | | | CLOSE: (159) is inconsistent.
% 174.14/27.35  | | | | | | | 
% 174.14/27.35  | | | | | | Case 2:
% 174.14/27.35  | | | | | | | 
% 174.14/27.35  | | | | | | |   (160)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 174.14/27.35  | | | | | | | 
% 174.14/27.35  | | | | | | | BETA: splitting (97) gives:
% 174.14/27.35  | | | | | | | 
% 174.14/27.35  | | | | | | | Case 1:
% 174.14/27.35  | | | | | | | | 
% 174.14/27.35  | | | | | | | |   (161)  all_54_2 = e0
% 174.14/27.35  | | | | | | | | 
% 174.14/27.35  | | | | | | | | REF_CLOSE: (43), (134), (161) are inconsistent by sub-proof
% 174.14/27.35  | | | | | | | |            #763.
% 174.14/27.35  | | | | | | | | 
% 174.14/27.35  | | | | | | | Case 2:
% 174.14/27.35  | | | | | | | | 
% 174.14/27.35  | | | | | | | |   (162)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1
% 174.14/27.35  | | | | | | | | 
% 174.14/27.35  | | | | | | | | BETA: splitting (30) gives:
% 174.14/27.35  | | | | | | | | 
% 174.14/27.35  | | | | | | | | Case 1:
% 174.14/27.35  | | | | | | | | | 
% 174.14/27.35  | | | | | | | | |   (163)  all_54_6 = e0
% 174.14/27.35  | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | COMBINE_EQS: (28), (163) imply:
% 174.14/27.35  | | | | | | | | |   (164)  all_52_9 = e0
% 174.14/27.35  | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | SIMP: (164) implies:
% 174.14/27.35  | | | | | | | | |   (165)  all_52_9 = e0
% 174.14/27.35  | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | COMBINE_EQS: (13), (165) imply:
% 174.14/27.35  | | | | | | | | |   (166)  all_56_5 = e0
% 174.14/27.35  | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | COMBINE_EQS: (115), (165) imply:
% 174.14/27.35  | | | | | | | | |   (167)  all_58_25 = e0
% 174.14/27.35  | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | REDUCE: (107), (165) imply:
% 174.14/27.35  | | | | | | | | |   (168)   ~ (all_52_11 = e0)
% 174.14/27.35  | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | SIMP: (168) implies:
% 174.14/27.35  | | | | | | | | |   (169)   ~ (all_52_11 = e0)
% 174.14/27.35  | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | REDUCE: (46), (165) imply:
% 174.14/27.35  | | | | | | | | |   (170)   ~ (all_10_2 = e0)
% 174.14/27.35  | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | REDUCE: (122), (165) imply:
% 174.14/27.35  | | | | | | | | |   (171)  op(e2, e0) = all_58_6
% 174.14/27.35  | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | BETA: splitting (4) gives:
% 174.14/27.35  | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | Case 1:
% 174.14/27.35  | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | |   (172)  all_56_12 = e0
% 174.14/27.35  | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | REF_CLOSE: (100), (118), (172) are inconsistent by sub-proof
% 174.14/27.35  | | | | | | | | | |            #631.
% 174.14/27.35  | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | Case 2:
% 174.14/27.35  | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | |   (173)  all_56_13 = e0 | all_56_14 = e0
% 174.14/27.35  | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | BETA: splitting (173) gives:
% 174.14/27.35  | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | Case 1:
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | |   (174)  all_56_13 = e0
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | COMBINE_EQS: (77), (174) imply:
% 174.14/27.35  | | | | | | | | | | |   (175)  all_52_7 = e0
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | SIMP: (175) implies:
% 174.14/27.35  | | | | | | | | | | |   (176)  all_52_7 = e0
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | COMBINE_EQS: (9), (176) imply:
% 174.14/27.35  | | | | | | | | | | |   (177)  all_58_23 = e0
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | REDUCE: (45), (176) imply:
% 174.14/27.35  | | | | | | | | | | |   (178)   ~ (all_52_6 = e0)
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | REDUCE: (18), (176) imply:
% 174.14/27.35  | | | | | | | | | | |   (179)   ~ (all_6_1 = e0)
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | REDUCE: (79), (176) imply:
% 174.14/27.35  | | | | | | | | | | |   (180)  op(e0, e0) = all_58_13
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | BETA: splitting (56) gives:
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | Case 1:
% 174.14/27.35  | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | |   (181)  all_56_7 = e0
% 174.14/27.35  | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | COMBINE_EQS: (131), (181) imply:
% 174.14/27.35  | | | | | | | | | | | |   (182)  all_52_6 = e0
% 174.14/27.35  | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | REDUCE: (178), (182) imply:
% 174.14/27.35  | | | | | | | | | | | |   (183)  $false
% 174.14/27.35  | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | CLOSE: (183) is inconsistent.
% 174.14/27.35  | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | Case 2:
% 174.14/27.35  | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | |   (184)  all_56_8 = e0 | all_56_11 = e0
% 174.14/27.35  | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | BETA: splitting (184) gives:
% 174.14/27.35  | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | Case 1:
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | |   (185)  all_56_8 = e0
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | COMBINE_EQS: (33), (185) imply:
% 174.14/27.35  | | | | | | | | | | | | |   (186)  all_10_2 = e0
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | REDUCE: (6), (186) imply:
% 174.14/27.35  | | | | | | | | | | | | |   (187)  $false
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | CLOSE: (187) is inconsistent.
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | Case 2:
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | |   (188)  all_56_11 = e0
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | COMBINE_EQS: (44), (188) imply:
% 174.14/27.35  | | | | | | | | | | | | |   (189)  all_52_14 = e0
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | SIMP: (189) implies:
% 174.14/27.35  | | | | | | | | | | | | |   (190)  all_52_14 = e0
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | COMBINE_EQS: (48), (190) imply:
% 174.14/27.35  | | | | | | | | | | | | |   (191)  all_58_30 = e0
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | REDUCE: (119), (190) imply:
% 174.14/27.35  | | | | | | | | | | | | |   (192)   ~ (all_52_2 = e0)
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | REDUCE: (73), (190) imply:
% 174.14/27.35  | | | | | | | | | | | | |   (193)   ~ (all_52_13 = e0)
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | REDUCE: (114), (190) imply:
% 174.14/27.35  | | | | | | | | | | | | |   (194)   ~ (all_14_2 = e0)
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | REDUCE: (5), (190) imply:
% 174.14/27.35  | | | | | | | | | | | | |   (195)  op(e1, e0) = all_58_11
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | REDUCE: (20), (190) imply:
% 174.14/27.35  | | | | | | | | | | | | |   (196)  op(e1, e0) = e0
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | GROUND_INST: instantiating (117) with all_14_2, all_58_13, e0,
% 174.14/27.35  | | | | | | | | | | | | |              e0, simplifying with (2), (180) gives:
% 174.14/27.35  | | | | | | | | | | | | |   (197)  all_58_13 = all_14_2
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | GROUND_INST: instantiating (117) with e0, all_58_11, e0, e1,
% 174.14/27.35  | | | | | | | | | | | | |              simplifying with (195), (196) gives:
% 174.14/27.35  | | | | | | | | | | | | |   (198)  all_58_11 = e0
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | GROUND_INST: instantiating (117) with all_52_13, all_58_6, e0,
% 174.14/27.35  | | | | | | | | | | | | |              e2, simplifying with (15), (171) gives:
% 174.14/27.35  | | | | | | | | | | | | |   (199)  all_58_6 = all_52_13
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | BETA: splitting (116) gives:
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | Case 1:
% 174.14/27.35  | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | |   (200)  all_54_9 = e0
% 174.14/27.35  | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | | COMBINE_EQS: (71), (200) imply:
% 174.14/27.35  | | | | | | | | | | | | | |   (201)  all_52_6 = e0
% 174.14/27.35  | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | | REDUCE: (178), (201) imply:
% 174.14/27.35  | | | | | | | | | | | | | |   (202)  $false
% 174.14/27.35  | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | | CLOSE: (202) is inconsistent.
% 174.14/27.35  | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | Case 2:
% 174.14/27.35  | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | |   (203)   ~ (all_54_9 = e0)
% 174.14/27.35  | | | | | | | | | | | | | |   (204)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 174.14/27.35  | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (7), (10), (11), (12), (22), (23), (24),
% 174.14/27.35  | | | | | | | | | | | | | |            (27), (29), (33), (34), (35), (36), (37), (38),
% 174.14/27.35  | | | | | | | | | | | | | |            (39), (40), (41), (42), (47), (49), (50), (52),
% 174.14/27.35  | | | | | | | | | | | | | |            (53), (54), (55), (57), (58), (60), (61), (62),
% 174.14/27.35  | | | | | | | | | | | | | |            (66), (67), (71), (72), (74), (75), (76), (78),
% 174.14/27.35  | | | | | | | | | | | | | |            (82), (83), (84), (85), (91), (92), (93), (94),
% 174.14/27.35  | | | | | | | | | | | | | |            (95), (99), (100), (103), (105), (108), (109),
% 174.14/27.35  | | | | | | | | | | | | | |            (112), (115), (118), (120), (123), (124), (125),
% 174.14/27.35  | | | | | | | | | | | | | |            (126), (128), (129), (130), (131), (132), (133),
% 174.14/27.35  | | | | | | | | | | | | | |            (137), (138), (139), (141), (142), (152), (154),
% 174.14/27.35  | | | | | | | | | | | | | |            (156), (160), (166), (167), (169), (177), (178),
% 174.14/27.35  | | | | | | | | | | | | | |            (191), (192), (193), (197), (198), (199), (204)
% 174.14/27.35  | | | | | | | | | | | | | |            are inconsistent by sub-proof #611.
% 174.14/27.35  | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | End of split
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | End of split
% 174.14/27.35  | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | End of split
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | Case 2:
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | |   (205)  all_56_14 = e0
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | REF_CLOSE: (29), (169), (205) are inconsistent by sub-proof
% 174.14/27.35  | | | | | | | | | | |            #915.
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | End of split
% 174.14/27.35  | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | End of split
% 174.14/27.35  | | | | | | | | | 
% 174.14/27.35  | | | | | | | | Case 2:
% 174.14/27.35  | | | | | | | | | 
% 174.14/27.35  | | | | | | | | |   (206)   ~ (all_54_6 = e0)
% 174.14/27.35  | | | | | | | | |   (207)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 174.14/27.35  | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | REDUCE: (28), (206) imply:
% 174.14/27.35  | | | | | | | | |   (208)   ~ (all_52_9 = e0)
% 174.14/27.35  | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | BETA: splitting (147) gives:
% 174.14/27.35  | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | Case 1:
% 174.14/27.35  | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | |   (209)  all_56_5 = e0
% 174.14/27.35  | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | COMBINE_EQS: (13), (209) imply:
% 174.14/27.35  | | | | | | | | | |   (210)  all_52_9 = e0
% 174.14/27.35  | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | REDUCE: (208), (210) imply:
% 174.14/27.35  | | | | | | | | | |   (211)  $false
% 174.14/27.35  | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | CLOSE: (211) is inconsistent.
% 174.14/27.35  | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | Case 2:
% 174.14/27.35  | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | |   (212)  all_56_8 = e0 | all_56_14 = e0
% 174.14/27.35  | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | BETA: splitting (212) gives:
% 174.14/27.35  | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | Case 1:
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | |   (213)  all_56_8 = e0
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | COMBINE_EQS: (33), (213) imply:
% 174.14/27.35  | | | | | | | | | | |   (214)  all_10_2 = e0
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | REDUCE: (6), (214) imply:
% 174.14/27.35  | | | | | | | | | | |   (215)  $false
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | CLOSE: (215) is inconsistent.
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | Case 2:
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | |   (216)  all_56_14 = e0
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | COMBINE_EQS: (29), (216) imply:
% 174.14/27.35  | | | | | | | | | | |   (217)  all_52_11 = e0
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | SIMP: (217) implies:
% 174.14/27.35  | | | | | | | | | | |   (218)  all_52_11 = e0
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | COMBINE_EQS: (49), (218) imply:
% 174.14/27.35  | | | | | | | | | | |   (219)  all_58_27 = e0
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | REDUCE: (38), (218) imply:
% 174.14/27.35  | | | | | | | | | | |   (220)   ~ (all_10_2 = e0)
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | REDUCE: (58), (218) imply:
% 174.14/27.35  | | | | | | | | | | |   (221)   ~ (all_6_1 = e0)
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | REDUCE: (64), (218) imply:
% 174.14/27.35  | | | | | | | | | | |   (222)  op(e0, e0) = all_58_14
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | BETA: splitting (14) gives:
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | Case 1:
% 174.14/27.35  | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | |   (223)  all_56_3 = e0
% 174.14/27.35  | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | COMBINE_EQS: (110), (223) imply:
% 174.14/27.35  | | | | | | | | | | | |   (224)  all_4_2 = e0
% 174.14/27.35  | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | REDUCE: (86), (224) imply:
% 174.14/27.35  | | | | | | | | | | | |   (225)  $false
% 174.14/27.35  | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | CLOSE: (225) is inconsistent.
% 174.14/27.35  | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | Case 2:
% 174.14/27.35  | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | |   (226)  all_56_5 = e0 | all_56_10 = e0
% 174.14/27.35  | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | BETA: splitting (226) gives:
% 174.14/27.35  | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | Case 1:
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | |   (227)  all_56_5 = e0
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | COMBINE_EQS: (13), (227) imply:
% 174.14/27.35  | | | | | | | | | | | | |   (228)  all_52_9 = e0
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | REDUCE: (208), (228) imply:
% 174.14/27.35  | | | | | | | | | | | | |   (229)  $false
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | CLOSE: (229) is inconsistent.
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | Case 2:
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | |   (230)  all_56_10 = e0
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | COMBINE_EQS: (121), (230) imply:
% 174.14/27.35  | | | | | | | | | | | | |   (231)  all_52_13 = e0
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | COMBINE_EQS: (84), (231) imply:
% 174.14/27.35  | | | | | | | | | | | | |   (232)  all_58_29 = e0
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | REDUCE: (73), (231) imply:
% 174.14/27.35  | | | | | | | | | | | | |   (233)   ~ (all_52_14 = e0)
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | SIMP: (233) implies:
% 174.14/27.35  | | | | | | | | | | | | |   (234)   ~ (all_52_14 = e0)
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | REDUCE: (67), (231) imply:
% 174.14/27.35  | | | | | | | | | | | | |   (235)   ~ (all_14_2 = e0)
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | REDUCE: (136), (231) imply:
% 174.14/27.35  | | | | | | | | | | | | |   (236)  op(e2, e0) = all_58_7
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | REDUCE: (15), (231) imply:
% 174.14/27.35  | | | | | | | | | | | | |   (237)  op(e2, e0) = e0
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | BETA: splitting (56) gives:
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | Case 1:
% 174.14/27.35  | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | |   (238)  all_56_7 = e0
% 174.14/27.35  | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | | COMBINE_EQS: (131), (238) imply:
% 174.14/27.35  | | | | | | | | | | | | | |   (239)  all_52_6 = e0
% 174.14/27.35  | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | | COMBINE_EQS: (108), (239) imply:
% 174.14/27.35  | | | | | | | | | | | | | |   (240)  all_58_22 = e0
% 174.14/27.35  | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | | REDUCE: (45), (239) imply:
% 174.14/27.35  | | | | | | | | | | | | | |   (241)   ~ (all_52_7 = e0)
% 174.14/27.35  | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | | SIMP: (241) implies:
% 174.14/27.35  | | | | | | | | | | | | | |   (242)   ~ (all_52_7 = e0)
% 174.14/27.35  | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | | REDUCE: (17), (239) imply:
% 174.14/27.35  | | | | | | | | | | | | | |   (243)   ~ (all_4_2 = e0)
% 174.14/27.35  | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | | REDUCE: (127), (239) imply:
% 174.14/27.35  | | | | | | | | | | | | | |   (244)  op(e1, e0) = all_58_9
% 174.14/27.35  | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | | GROUND_INST: instantiating (117) with all_14_2, all_58_14, e0,
% 174.14/27.35  | | | | | | | | | | | | | |              e0, simplifying with (2), (222) gives:
% 174.14/27.35  | | | | | | | | | | | | | |   (245)  all_58_14 = all_14_2
% 174.14/27.35  | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | | GROUND_INST: instantiating (117) with all_52_14, all_58_9, e0,
% 174.14/27.35  | | | | | | | | | | | | | |              e1, simplifying with (20), (244) gives:
% 174.14/27.35  | | | | | | | | | | | | | |   (246)  all_58_9 = all_52_14
% 174.14/27.35  | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | | GROUND_INST: instantiating (117) with e0, all_58_7, e0, e2,
% 174.14/27.35  | | | | | | | | | | | | | |              simplifying with (236), (237) gives:
% 174.14/27.35  | | | | | | | | | | | | | |   (247)  all_58_7 = e0
% 174.14/27.35  | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | | BETA: splitting (31) gives:
% 174.14/27.35  | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | | Case 1:
% 174.14/27.35  | | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | | |   (248)  all_54_11 = e0
% 174.14/27.35  | | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | | | COMBINE_EQS: (140), (248) imply:
% 174.14/27.35  | | | | | | | | | | | | | | |   (249)  all_52_14 = e0
% 174.14/27.35  | | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | | | REDUCE: (234), (249) imply:
% 174.14/27.35  | | | | | | | | | | | | | | |   (250)  $false
% 174.14/27.35  | | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | | | CLOSE: (250) is inconsistent.
% 174.14/27.35  | | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | | Case 2:
% 174.14/27.35  | | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | | |   (251)   ~ (all_54_11 = e0)
% 174.14/27.35  | | | | | | | | | | | | | | |   (252)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 174.14/27.35  | | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (7), (8), (9), (10), (11), (13), (19),
% 174.14/27.35  | | | | | | | | | | | | | | |            (21), (22), (23), (24), (26), (27), (28), (32),
% 174.14/27.35  | | | | | | | | | | | | | | |            (33), (34), (35), (37), (42), (43), (44), (48),
% 174.14/27.35  | | | | | | | | | | | | | | |            (51), (52), (53), (57), (59), (60), (61), (65),
% 174.14/27.35  | | | | | | | | | | | | | | |            (68), (69), (72), (74), (76), (77), (78), (81),
% 174.14/27.35  | | | | | | | | | | | | | | |            (82), (83), (84), (85), (86), (87), (89), (90),
% 174.14/27.35  | | | | | | | | | | | | | | |            (91), (93), (94), (95), (98), (100), (101), (103),
% 174.14/27.35  | | | | | | | | | | | | | | |            (104), (105), (106), (109), (110), (111), (112),
% 174.14/27.35  | | | | | | | | | | | | | | |            (113), (114), (115), (118), (119), (120), (121),
% 174.14/27.35  | | | | | | | | | | | | | | |            (123), (124), (125), (126), (129), (132), (133),
% 174.14/27.35  | | | | | | | | | | | | | | |            (134), (135), (137), (140), (150), (156), (160),
% 174.14/27.35  | | | | | | | | | | | | | | |            (162), (207), (208), (219), (232), (234), (238),
% 174.14/27.35  | | | | | | | | | | | | | | |            (240), (242), (245), (246), (247), (252) are
% 174.14/27.35  | | | | | | | | | | | | | | |            inconsistent by sub-proof #581.
% 174.14/27.35  | | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | | End of split
% 174.14/27.35  | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | Case 2:
% 174.14/27.35  | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | |   (253)  all_56_8 = e0 | all_56_11 = e0
% 174.14/27.35  | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | | REF_CLOSE: (6), (33), (44), (234), (253) are inconsistent by
% 174.14/27.35  | | | | | | | | | | | | | |            sub-proof #912.
% 174.14/27.35  | | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | | End of split
% 174.14/27.35  | | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | End of split
% 174.14/27.35  | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | End of split
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | End of split
% 174.14/27.35  | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | End of split
% 174.14/27.35  | | | | | | | | | 
% 174.14/27.35  | | | | | | | | End of split
% 174.14/27.35  | | | | | | | | 
% 174.14/27.35  | | | | | | | End of split
% 174.14/27.35  | | | | | | | 
% 174.14/27.35  | | | | | | End of split
% 174.14/27.35  | | | | | | 
% 174.14/27.35  | | | | | End of split
% 174.14/27.35  | | | | | 
% 174.14/27.35  | | | | End of split
% 174.14/27.35  | | | | 
% 174.14/27.35  | | | End of split
% 174.14/27.35  | | | 
% 174.14/27.35  | | End of split
% 174.14/27.35  | | 
% 174.14/27.35  | End of split
% 174.14/27.35  | 
% 174.14/27.35  End of proof
% 174.14/27.35  
% 174.14/27.35  Sub-proof #581 shows that the following formulas are inconsistent:
% 174.14/27.35  ----------------------------------------------------------------
% 174.14/27.35    (1)   ~ (all_52_12 = all_14_2)
% 174.14/27.35    (2)  all_56_1 = all_52_4
% 174.14/27.35    (3)   ~ (all_52_8 = all_52_12)
% 174.14/27.35    (4)   ~ (e3 = e1)
% 174.14/27.35    (5)  all_58_23 = all_52_7
% 174.14/27.35    (6)   ~ (all_52_4 = all_4_2)
% 174.14/27.35    (7)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.14/27.35    (8)  all_56_5 = all_52_9
% 174.14/27.35    (9)   ~ (all_52_2 = all_6_1)
% 174.14/27.35    (10)  all_56_15 = all_14_2
% 174.14/27.35    (11)  all_58_19 = all_6_1
% 174.14/27.35    (12)  all_54_1 = all_52_4
% 174.14/27.35    (13)   ~ (all_14_2 = e0)
% 174.14/27.35    (14)   ~ (all_52_9 = all_4_2)
% 174.14/27.35    (15)   ~ (all_52_1 = all_6_1)
% 174.14/27.35    (16)  all_54_6 = all_52_9
% 174.14/27.35    (17)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 174.14/27.35    (18)  all_56_8 = all_10_2
% 174.14/27.35    (19)  all_58_9 = all_52_14
% 174.14/27.35    (20)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.14/27.35    (21)   ~ (all_52_9 = e0)
% 174.14/27.35    (22)  all_58_26 = all_10_2
% 174.14/27.35    (23)  all_58_31 = all_14_2
% 174.14/27.35    (24)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 174.14/27.35    (25)  all_54_2 = all_52_8
% 174.14/27.35    (26)  all_56_11 = all_52_14
% 174.14/27.35    (27)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1
% 174.14/27.35    (28)  all_58_30 = all_52_14
% 174.14/27.35    (29)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 174.14/27.35    (30)  all_58_17 = all_52_1
% 174.14/27.35    (31)  all_56_9 = all_52_12
% 174.14/27.35    (32)  all_58_22 = e0
% 174.14/27.35    (33)   ~ (e3 = e2)
% 174.14/27.35    (34)   ~ (all_52_4 = all_52_7)
% 174.14/27.35    (35)  all_58_0 = all_52_12
% 174.14/27.35    (36)   ~ (e2 = e1)
% 174.14/27.35    (37)  all_58_14 = all_14_2
% 174.14/27.35    (38)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.14/27.35    (39)   ~ (all_52_1 = all_4_2)
% 174.14/27.35    (40)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.14/27.35    (41)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.14/27.35    (42)  all_58_7 = e0
% 174.14/27.35    (43)  all_58_18 = all_52_2
% 174.14/27.35    (44)  all_58_16 = e0
% 174.14/27.35    (45)  all_56_13 = all_52_7
% 174.14/27.35    (46)   ~ (all_52_12 = e0)
% 174.14/27.35    (47)   ~ (all_52_8 = all_52_9)
% 174.14/27.35    (48)  all_56_2 = all_52_1
% 174.14/27.35    (49)   ~ (e3 = e0)
% 174.14/27.35    (50)  all_58_29 = all_52_13
% 174.14/27.35    (51)   ~ (all_52_1 = all_52_2)
% 174.14/27.35    (52)  all_56_7 = e0
% 174.14/27.35    (53)   ~ (all_4_2 = e0)
% 174.14/27.35    (54)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 174.14/27.35    (55)   ~ (all_52_7 = all_4_2)
% 174.14/27.35    (56)   ~ (all_52_8 = all_10_2)
% 174.14/27.35    (57)  all_56_4 = all_52_8
% 174.14/27.35    (58)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 174.14/27.35    (59)  all_58_20 = all_52_4
% 174.14/27.35    (60)  all_54_15 = all_14_2
% 174.14/27.35    (61)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 174.14/27.35    (62)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.14/27.35    (63)  all_56_12 = all_6_1
% 174.14/27.35    (64)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 174.14/27.35    (65)  all_56_6 = all_52_2
% 174.14/27.35    (66)   ~ (all_52_1 = all_52_9)
% 174.14/27.35    (67)   ~ (all_52_7 = e0)
% 174.14/27.35    (68)  all_58_24 = all_52_8
% 174.14/27.35    (69)   ~ (all_52_12 = all_52_14)
% 174.14/27.35    (70)  all_58_27 = e0
% 174.14/27.35    (71)   ~ (all_52_4 = all_52_12)
% 174.14/27.35    (72)  all_56_3 = all_4_2
% 174.14/27.35    (73)  all_58_29 = e0
% 174.14/27.35    (74)   ~ (all_52_14 = all_10_2)
% 174.14/27.35    (75)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 174.14/27.35    (76)   ~ (all_52_1 = e0)
% 174.14/27.35    (77)   ~ (all_52_4 = all_52_8)
% 174.14/27.35    (78)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 174.14/27.35    (79)   ~ (all_52_14 = all_14_2)
% 174.14/27.35    (80)  all_58_25 = all_52_9
% 174.14/27.35    (81)   ~ (all_6_1 = e0)
% 174.14/27.35    (82)   ~ (all_52_2 = all_52_14)
% 174.14/27.35    (83)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 174.14/27.35    (84)  all_58_21 = all_4_2
% 174.14/27.35    (85)  all_56_10 = all_52_13
% 174.14/27.35    (86)  all_56_0 = e0
% 174.14/27.35    (87)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 174.14/27.35    (88)   ~ (e2 = e0)
% 174.14/27.35    (89)   ~ (all_52_14 = e0)
% 174.14/27.35    (90)  all_58_28 = all_52_12
% 174.14/27.35    (91)   ~ (e1 = e0)
% 174.14/27.35    (92)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 174.14/27.35            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 174.14/27.35            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 174.14/27.35            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 174.14/27.35            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 174.14/27.35            (all_58_15 = e0))
% 174.14/27.35    (93)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 174.14/27.35    (94)   ~ (all_52_8 = e0)
% 174.14/27.35    (95)  all_54_5 = all_4_2
% 174.14/27.35    (96)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 174.14/27.35          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 174.14/27.35          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.14/27.35          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 174.14/27.35          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.14/27.35          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.14/27.35          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.14/27.35          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 174.14/27.35          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.14/27.35          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 174.14/27.35            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 174.14/27.35            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 174.14/27.35            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 174.14/27.35            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 174.14/27.35            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 174.14/27.35            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 174.14/27.35            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 174.14/27.35            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 174.14/27.35            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 174.14/27.35            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 174.14/27.35            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 174.14/27.35            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 174.14/27.35            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 174.14/27.35            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 174.14/27.35            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 174.14/27.35            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.14/27.35          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.14/27.35          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.14/27.35          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 174.14/27.35            all_58_30 = e0 & e1 = e0)
% 174.14/27.35    (97)  all_54_11 = all_52_14
% 174.14/27.35    (98)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 174.14/27.35  
% 174.14/27.35  Begin of proof
% 174.14/27.35  | 
% 174.14/27.35  | BETA: splitting (7) gives:
% 174.14/27.35  | 
% 174.14/27.35  | Case 1:
% 174.14/27.35  | | 
% 174.14/27.35  | |   (99)  all_58_19 = e0
% 174.14/27.35  | | 
% 174.14/27.35  | | COMBINE_EQS: (11), (99) imply:
% 174.14/27.35  | |   (100)  all_6_1 = e0
% 174.14/27.35  | | 
% 174.14/27.35  | | REDUCE: (81), (100) imply:
% 174.14/27.35  | |   (101)  $false
% 174.14/27.35  | | 
% 174.14/27.35  | | CLOSE: (101) is inconsistent.
% 174.14/27.35  | | 
% 174.14/27.35  | Case 2:
% 174.14/27.35  | | 
% 174.14/27.35  | |   (102)   ~ (all_58_19 = e0)
% 174.14/27.35  | |   (103)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.14/27.35  | | 
% 174.14/27.35  | | BETA: splitting (20) gives:
% 174.14/27.35  | | 
% 174.14/27.35  | | Case 1:
% 174.14/27.35  | | | 
% 174.14/27.35  | | |   (104)  all_58_31 = e0
% 174.14/27.35  | | | 
% 174.14/27.35  | | | COMBINE_EQS: (23), (104) imply:
% 174.14/27.35  | | |   (105)  all_14_2 = e0
% 174.14/27.35  | | | 
% 174.14/27.35  | | | REDUCE: (13), (105) imply:
% 174.14/27.35  | | |   (106)  $false
% 174.14/27.35  | | | 
% 174.14/27.35  | | | CLOSE: (106) is inconsistent.
% 174.14/27.35  | | | 
% 174.14/27.35  | | Case 2:
% 174.14/27.35  | | | 
% 174.14/27.35  | | |   (107)   ~ (all_58_31 = e0)
% 174.14/27.35  | | |   (108)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.14/27.35  | | | 
% 174.14/27.35  | | | BETA: splitting (62) gives:
% 174.14/27.35  | | | 
% 174.14/27.35  | | | Case 1:
% 174.14/27.35  | | | | 
% 174.14/27.35  | | | |   (109)  all_58_23 = e0
% 174.14/27.35  | | | | 
% 174.14/27.35  | | | | COMBINE_EQS: (5), (109) imply:
% 174.14/27.35  | | | |   (110)  all_52_7 = e0
% 174.14/27.35  | | | | 
% 174.14/27.35  | | | | REDUCE: (67), (110) imply:
% 174.14/27.35  | | | |   (111)  $false
% 174.14/27.35  | | | | 
% 174.14/27.35  | | | | CLOSE: (111) is inconsistent.
% 174.14/27.35  | | | | 
% 174.14/27.35  | | | Case 2:
% 174.14/27.35  | | | | 
% 174.14/27.35  | | | |   (112)   ~ (all_58_23 = e0)
% 174.14/27.35  | | | |   (113)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.14/27.35  | | | | 
% 174.14/27.35  | | | | BETA: splitting (24) gives:
% 174.14/27.35  | | | | 
% 174.14/27.35  | | | | Case 1:
% 174.14/27.35  | | | | | 
% 174.14/27.35  | | | | |   (114)  all_56_4 = e2
% 174.14/27.35  | | | | | 
% 174.14/27.35  | | | | | COMBINE_EQS: (57), (114) imply:
% 174.14/27.35  | | | | |   (115)  all_52_8 = e2
% 174.14/27.35  | | | | | 
% 174.14/27.35  | | | | | REDUCE: (56), (115) imply:
% 174.14/27.35  | | | | |   (116)   ~ (all_10_2 = e2)
% 174.14/27.35  | | | | | 
% 174.14/27.35  | | | | | SIMP: (116) implies:
% 174.14/27.35  | | | | |   (117)   ~ (all_10_2 = e2)
% 174.14/27.35  | | | | | 
% 174.14/27.35  | | | | | BETA: splitting (54) gives:
% 174.14/27.35  | | | | | 
% 174.14/27.35  | | | | | Case 1:
% 174.14/27.35  | | | | | | 
% 174.14/27.35  | | | | | |   (118)  all_56_6 = e2
% 174.14/27.35  | | | | | | 
% 174.14/27.35  | | | | | | COMBINE_EQS: (65), (118) imply:
% 174.14/27.35  | | | | | |   (119)  all_52_2 = e2
% 174.14/27.35  | | | | | | 
% 174.14/27.35  | | | | | | SIMP: (119) implies:
% 174.14/27.35  | | | | | |   (120)  all_52_2 = e2
% 174.14/27.35  | | | | | | 
% 174.14/27.35  | | | | | | REF_CLOSE: (30), (36), (43), (44), (49), (51), (103), (120) are
% 174.14/27.35  | | | | | |            inconsistent by sub-proof #607.
% 174.14/27.35  | | | | | | 
% 174.14/27.35  | | | | | Case 2:
% 174.14/27.35  | | | | | | 
% 174.14/27.35  | | | | | |   (121)  all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 174.14/27.35  | | | | | | 
% 174.14/27.35  | | | | | | BETA: splitting (121) gives:
% 174.14/27.35  | | | | | | 
% 174.14/27.35  | | | | | | Case 1:
% 174.14/27.35  | | | | | | | 
% 174.14/27.35  | | | | | | |   (122)  all_56_7 = e2
% 174.14/27.35  | | | | | | | 
% 174.14/27.35  | | | | | | | COMBINE_EQS: (52), (122) imply:
% 174.14/27.35  | | | | | | |   (123)  e2 = e0
% 174.14/27.35  | | | | | | | 
% 174.14/27.35  | | | | | | | REDUCE: (88), (123) imply:
% 174.14/27.35  | | | | | | |   (124)  $false
% 174.14/27.35  | | | | | | | 
% 174.14/27.35  | | | | | | | CLOSE: (124) is inconsistent.
% 174.14/27.35  | | | | | | | 
% 174.14/27.35  | | | | | | Case 2:
% 174.14/27.35  | | | | | | | 
% 174.14/27.35  | | | | | | |   (125)  all_56_8 = e2 | all_56_11 = e2
% 174.14/27.35  | | | | | | | 
% 174.14/27.35  | | | | | | | BETA: splitting (125) gives:
% 174.14/27.35  | | | | | | | 
% 174.14/27.35  | | | | | | | Case 1:
% 174.14/27.35  | | | | | | | | 
% 174.14/27.35  | | | | | | | |   (126)  all_56_8 = e2
% 174.14/27.35  | | | | | | | | 
% 174.14/27.35  | | | | | | | | REF_CLOSE: (18), (117), (126) are inconsistent by sub-proof
% 174.14/27.35  | | | | | | | |            #666.
% 174.14/27.35  | | | | | | | | 
% 174.14/27.35  | | | | | | | Case 2:
% 174.14/27.35  | | | | | | | | 
% 174.14/27.35  | | | | | | | |   (127)  all_56_11 = e2
% 174.14/27.35  | | | | | | | | 
% 174.14/27.35  | | | | | | | | COMBINE_EQS: (26), (127) imply:
% 174.14/27.35  | | | | | | | |   (128)  all_52_14 = e2
% 174.14/27.35  | | | | | | | | 
% 174.14/27.35  | | | | | | | | SIMP: (128) implies:
% 174.14/27.35  | | | | | | | |   (129)  all_52_14 = e2
% 174.14/27.35  | | | | | | | | 
% 174.14/27.35  | | | | | | | | COMBINE_EQS: (28), (129) imply:
% 174.14/27.35  | | | | | | | |   (130)  all_58_30 = e2
% 174.14/27.35  | | | | | | | | 
% 174.14/27.35  | | | | | | | | COMBINE_EQS: (19), (129) imply:
% 174.14/27.35  | | | | | | | |   (131)  all_58_9 = e2
% 174.14/27.35  | | | | | | | | 
% 174.14/27.35  | | | | | | | | REDUCE: (79), (129) imply:
% 174.14/27.35  | | | | | | | |   (132)   ~ (all_14_2 = e2)
% 174.14/27.35  | | | | | | | | 
% 174.14/27.35  | | | | | | | | SIMP: (132) implies:
% 174.14/27.35  | | | | | | | |   (133)   ~ (all_14_2 = e2)
% 174.14/27.35  | | | | | | | | 
% 174.14/27.35  | | | | | | | | BETA: splitting (108) gives:
% 174.14/27.35  | | | | | | | | 
% 174.14/27.35  | | | | | | | | Case 1:
% 174.14/27.35  | | | | | | | | | 
% 174.14/27.35  | | | | | | | | |   (134)  all_58_30 = e1
% 174.14/27.35  | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | COMBINE_EQS: (130), (134) imply:
% 174.14/27.35  | | | | | | | | |   (135)  e2 = e1
% 174.14/27.35  | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | REDUCE: (36), (135) imply:
% 174.14/27.35  | | | | | | | | |   (136)  $false
% 174.14/27.35  | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | CLOSE: (136) is inconsistent.
% 174.14/27.35  | | | | | | | | | 
% 174.14/27.35  | | | | | | | | Case 2:
% 174.14/27.35  | | | | | | | | | 
% 174.14/27.35  | | | | | | | | |   (137)  all_58_28 = e3 | all_58_29 = e2
% 174.14/27.35  | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | BETA: splitting (137) gives:
% 174.14/27.35  | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | Case 1:
% 174.14/27.35  | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | |   (138)  all_58_29 = e2
% 174.14/27.35  | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | REF_CLOSE: (73), (88), (138) are inconsistent by sub-proof
% 174.14/27.35  | | | | | | | | | |            #889.
% 174.14/27.35  | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | Case 2:
% 174.14/27.35  | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | |   (139)  all_58_28 = e3
% 174.14/27.35  | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | COMBINE_EQS: (90), (139) imply:
% 174.14/27.35  | | | | | | | | | |   (140)  all_52_12 = e3
% 174.14/27.35  | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | COMBINE_EQS: (35), (140) imply:
% 174.14/27.35  | | | | | | | | | |   (141)  all_58_0 = e3
% 174.14/27.35  | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | REDUCE: (1), (140) imply:
% 174.14/27.35  | | | | | | | | | |   (142)   ~ (all_14_2 = e3)
% 174.14/27.35  | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | SIMP: (142) implies:
% 174.14/27.35  | | | | | | | | | |   (143)   ~ (all_14_2 = e3)
% 174.14/27.35  | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | BETA: splitting (92) gives:
% 174.14/27.35  | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | Case 1:
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | |   (144)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~
% 174.14/27.35  | | | | | | | | | | |            (all_58_2 = e1) &  ~ (all_58_3 = e0)) | ( ~
% 174.14/27.35  | | | | | | | | | | |            (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 174.14/27.35  | | | | | | | | | | |            (all_58_6 = e1) &  ~ (all_58_7 = e0))
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | BETA: splitting (144) gives:
% 174.14/27.35  | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | Case 1:
% 174.14/27.35  | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | |   (145)   ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~
% 174.14/27.35  | | | | | | | | | | | |          (all_58_2 = e1) &  ~ (all_58_3 = e0)
% 174.14/27.35  | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | ALPHA: (145) implies:
% 174.14/27.35  | | | | | | | | | | | |   (146)   ~ (all_58_0 = e3)
% 174.14/27.35  | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | REDUCE: (141), (146) imply:
% 174.14/27.35  | | | | | | | | | | | |   (147)  $false
% 174.14/27.35  | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | | CLOSE: (147) is inconsistent.
% 174.14/27.35  | | | | | | | | | | | | 
% 174.14/27.35  | | | | | | | | | | | Case 2:
% 174.14/27.35  | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | |   (148)   ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 174.14/27.36  | | | | | | | | | | | |          (all_58_6 = e1) &  ~ (all_58_7 = e0)
% 174.14/27.36  | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | ALPHA: (148) implies:
% 174.14/27.36  | | | | | | | | | | | |   (149)   ~ (all_58_7 = e0)
% 174.14/27.36  | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | REDUCE: (42), (149) imply:
% 174.14/27.36  | | | | | | | | | | | |   (150)  $false
% 174.14/27.36  | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | CLOSE: (150) is inconsistent.
% 174.14/27.36  | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | End of split
% 174.14/27.36  | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | Case 2:
% 174.14/27.36  | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | |   (151)  ( ~ (all_58_8 = e3) &  ~ (all_58_9 = e2) &  ~
% 174.14/27.36  | | | | | | | | | | |            (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 174.14/27.36  | | | | | | | | | | |            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~
% 174.14/27.36  | | | | | | | | | | |            (all_58_14 = e1) &  ~ (all_58_15 = e0))
% 174.14/27.36  | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | BETA: splitting (151) gives:
% 174.14/27.36  | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | |   (152)   ~ (all_58_8 = e3) &  ~ (all_58_9 = e2) &  ~
% 174.14/27.36  | | | | | | | | | | | |          (all_58_10 = e1) &  ~ (all_58_11 = e0)
% 174.14/27.36  | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | ALPHA: (152) implies:
% 174.14/27.36  | | | | | | | | | | | |   (153)   ~ (all_58_9 = e2)
% 174.14/27.36  | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | REDUCE: (131), (153) imply:
% 174.14/27.36  | | | | | | | | | | | |   (154)  $false
% 174.14/27.36  | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | CLOSE: (154) is inconsistent.
% 174.14/27.36  | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | Case 2:
% 174.14/27.36  | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | |   (155)   ~ (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~
% 174.14/27.36  | | | | | | | | | | | |          (all_58_14 = e1) &  ~ (all_58_15 = e0)
% 174.14/27.36  | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | ALPHA: (155) implies:
% 174.14/27.36  | | | | | | | | | | | |   (156)   ~ (all_58_14 = e1)
% 174.14/27.36  | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | REDUCE: (37), (156) imply:
% 174.14/27.36  | | | | | | | | | | | |   (157)   ~ (all_14_2 = e1)
% 174.14/27.36  | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | REF_CLOSE: (60), (75), (133), (143), (157) are inconsistent
% 174.14/27.36  | | | | | | | | | | | |            by sub-proof #612.
% 174.14/27.36  | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | End of split
% 174.14/27.36  | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | End of split
% 174.14/27.36  | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | End of split
% 174.14/27.36  | | | | | | | | | 
% 174.14/27.36  | | | | | | | | End of split
% 174.14/27.36  | | | | | | | | 
% 174.14/27.36  | | | | | | | End of split
% 174.14/27.36  | | | | | | | 
% 174.14/27.36  | | | | | | End of split
% 174.14/27.36  | | | | | | 
% 174.14/27.36  | | | | | End of split
% 174.14/27.36  | | | | | 
% 174.14/27.36  | | | | Case 2:
% 174.14/27.36  | | | | | 
% 174.14/27.36  | | | | |   (158)   ~ (all_56_4 = e2)
% 174.14/27.36  | | | | | 
% 174.14/27.36  | | | | | REDUCE: (57), (158) imply:
% 174.14/27.36  | | | | |   (159)   ~ (all_52_8 = e2)
% 174.14/27.36  | | | | | 
% 174.14/27.36  | | | | | BETA: splitting (38) gives:
% 174.14/27.36  | | | | | 
% 174.14/27.36  | | | | | Case 1:
% 174.14/27.36  | | | | | | 
% 174.14/27.36  | | | | | |   (160)  all_56_0 = e2
% 174.14/27.36  | | | | | | 
% 174.14/27.36  | | | | | | REF_CLOSE: (86), (88), (160) are inconsistent by sub-proof #627.
% 174.14/27.36  | | | | | | 
% 174.14/27.36  | | | | | Case 2:
% 174.14/27.36  | | | | | | 
% 174.14/27.36  | | | | | |   (161)   ~ (all_56_0 = e2)
% 174.14/27.36  | | | | | |   (162)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.14/27.36  | | | | | | 
% 174.14/27.36  | | | | | | REDUCE: (86), (161) imply:
% 174.14/27.36  | | | | | |   (163)   ~ (e2 = e0)
% 174.14/27.36  | | | | | | 
% 174.14/27.36  | | | | | | BETA: splitting (29) gives:
% 174.14/27.36  | | | | | | 
% 174.14/27.36  | | | | | | Case 1:
% 174.14/27.36  | | | | | | | 
% 174.14/27.36  | | | | | | |   (164)  all_56_6 = e1
% 174.14/27.36  | | | | | | | 
% 174.14/27.36  | | | | | | | COMBINE_EQS: (65), (164) imply:
% 174.14/27.36  | | | | | | |   (165)  all_52_2 = e1
% 174.14/27.36  | | | | | | | 
% 174.14/27.36  | | | | | | | REDUCE: (82), (165) imply:
% 174.14/27.36  | | | | | | |   (166)   ~ (all_52_14 = e1)
% 174.14/27.36  | | | | | | | 
% 174.14/27.36  | | | | | | | SIMP: (166) implies:
% 174.14/27.36  | | | | | | |   (167)   ~ (all_52_14 = e1)
% 174.14/27.36  | | | | | | | 
% 174.14/27.36  | | | | | | | BETA: splitting (108) gives:
% 174.14/27.36  | | | | | | | 
% 174.14/27.36  | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | 
% 174.14/27.36  | | | | | | | |   (168)  all_58_30 = e1
% 174.14/27.36  | | | | | | | | 
% 174.14/27.36  | | | | | | | | COMBINE_EQS: (28), (168) imply:
% 174.14/27.36  | | | | | | | |   (169)  all_52_14 = e1
% 174.14/27.36  | | | | | | | | 
% 174.14/27.36  | | | | | | | | REDUCE: (167), (169) imply:
% 174.14/27.36  | | | | | | | |   (170)  $false
% 174.14/27.36  | | | | | | | | 
% 174.14/27.36  | | | | | | | | CLOSE: (170) is inconsistent.
% 174.14/27.36  | | | | | | | | 
% 174.14/27.36  | | | | | | | Case 2:
% 174.14/27.36  | | | | | | | | 
% 174.14/27.36  | | | | | | | |   (171)  all_58_28 = e3 | all_58_29 = e2
% 174.14/27.36  | | | | | | | | 
% 174.14/27.36  | | | | | | | | REF_CLOSE: (3), (6), (12), (25), (27), (32), (59), (61), (71),
% 174.14/27.36  | | | | | | | |            (73), (77), (84), (88), (90), (94), (113), (159),
% 174.14/27.36  | | | | | | | |            (171) are inconsistent by sub-proof #604.
% 174.14/27.36  | | | | | | | | 
% 174.14/27.36  | | | | | | | End of split
% 174.14/27.36  | | | | | | | 
% 174.14/27.36  | | | | | | Case 2:
% 174.14/27.36  | | | | | | | 
% 174.14/27.36  | | | | | | |   (172)   ~ (all_56_6 = e1)
% 174.14/27.36  | | | | | | | 
% 174.14/27.36  | | | | | | | REDUCE: (65), (172) imply:
% 174.14/27.36  | | | | | | |   (173)   ~ (all_52_2 = e1)
% 174.14/27.36  | | | | | | | 
% 174.14/27.36  | | | | | | | BETA: splitting (103) gives:
% 174.14/27.36  | | | | | | | 
% 174.14/27.36  | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | 
% 174.14/27.36  | | | | | | | |   (174)  all_58_18 = e1
% 174.14/27.36  | | | | | | | | 
% 174.14/27.36  | | | | | | | | COMBINE_EQS: (43), (174) imply:
% 174.14/27.36  | | | | | | | |   (175)  all_52_2 = e1
% 174.14/27.36  | | | | | | | | 
% 174.14/27.36  | | | | | | | | REDUCE: (173), (175) imply:
% 174.14/27.36  | | | | | | | |   (176)  $false
% 174.14/27.36  | | | | | | | | 
% 174.14/27.36  | | | | | | | | CLOSE: (176) is inconsistent.
% 174.14/27.36  | | | | | | | | 
% 174.14/27.36  | | | | | | | Case 2:
% 174.14/27.36  | | | | | | | | 
% 174.14/27.36  | | | | | | | |   (177)   ~ (all_58_18 = e1)
% 174.14/27.36  | | | | | | | |   (178)  all_58_16 = e3 | all_58_17 = e2
% 174.14/27.36  | | | | | | | | 
% 174.14/27.36  | | | | | | | | BETA: splitting (178) gives:
% 174.14/27.36  | | | | | | | | 
% 174.14/27.36  | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | 
% 174.14/27.36  | | | | | | | | |   (179)  all_58_17 = e2
% 174.14/27.36  | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | COMBINE_EQS: (30), (179) imply:
% 174.14/27.36  | | | | | | | | |   (180)  all_52_1 = e2
% 174.14/27.36  | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | COMBINE_EQS: (48), (180) imply:
% 174.14/27.36  | | | | | | | | |   (181)  all_56_2 = e2
% 174.14/27.36  | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | REDUCE: (66), (180) imply:
% 174.14/27.36  | | | | | | | | |   (182)   ~ (all_52_9 = e2)
% 174.14/27.36  | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | SIMP: (182) implies:
% 174.14/27.36  | | | | | | | | |   (183)   ~ (all_52_9 = e2)
% 174.14/27.36  | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | REDUCE: (15), (180) imply:
% 174.14/27.36  | | | | | | | | |   (184)   ~ (all_6_1 = e2)
% 174.14/27.36  | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | SIMP: (184) implies:
% 174.14/27.36  | | | | | | | | |   (185)   ~ (all_6_1 = e2)
% 174.14/27.36  | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | REDUCE: (39), (180) imply:
% 174.14/27.36  | | | | | | | | |   (186)   ~ (all_4_2 = e2)
% 174.14/27.36  | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | SIMP: (186) implies:
% 174.14/27.36  | | | | | | | | |   (187)   ~ (all_4_2 = e2)
% 174.14/27.36  | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | BETA: splitting (40) gives:
% 174.14/27.36  | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | |   (188)  all_56_0 = e1
% 174.14/27.36  | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | REF_CLOSE: (86), (91), (188) are inconsistent by sub-proof
% 174.14/27.36  | | | | | | | | | |            #603.
% 174.14/27.36  | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | Case 2:
% 174.14/27.36  | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | |   (189)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.14/27.36  | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | BETA: splitting (189) gives:
% 174.14/27.36  | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | |   (190)  all_56_2 = e1
% 174.14/27.36  | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | REF_CLOSE: (36), (43), (44), (49), (103), (173), (179),
% 174.14/27.36  | | | | | | | | | | |            (181), (190) are inconsistent by sub-proof #602.
% 174.14/27.36  | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | Case 2:
% 174.14/27.36  | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | |   (191)  all_56_6 = e1 | all_56_12 = e1
% 174.14/27.36  | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | BETA: splitting (191) gives:
% 174.14/27.36  | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | |   (192)  all_56_6 = e1
% 174.14/27.36  | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | COMBINE_EQS: (65), (192) imply:
% 174.14/27.36  | | | | | | | | | | | |   (193)  all_52_2 = e1
% 174.14/27.36  | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | REDUCE: (173), (193) imply:
% 174.14/27.36  | | | | | | | | | | | |   (194)  $false
% 174.14/27.36  | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | CLOSE: (194) is inconsistent.
% 174.14/27.36  | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | Case 2:
% 174.14/27.36  | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | |   (195)  all_56_12 = e1
% 174.14/27.36  | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | COMBINE_EQS: (63), (195) imply:
% 174.14/27.36  | | | | | | | | | | | |   (196)  all_6_1 = e1
% 174.14/27.36  | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | SIMP: (196) implies:
% 174.14/27.36  | | | | | | | | | | | |   (197)  all_6_1 = e1
% 174.14/27.36  | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | COMBINE_EQS: (11), (197) imply:
% 174.14/27.36  | | | | | | | | | | | |   (198)  all_58_19 = e1
% 174.14/27.36  | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | REDUCE: (185), (197) imply:
% 174.14/27.36  | | | | | | | | | | | |   (199)   ~ (e2 = e1)
% 174.14/27.36  | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | BETA: splitting (17) gives:
% 174.14/27.36  | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | |   (200)  all_56_0 = e3
% 174.14/27.36  | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | REF_CLOSE: (49), (86), (200) are inconsistent by sub-proof
% 174.14/27.36  | | | | | | | | | | | | |            #601.
% 174.14/27.36  | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | Case 2:
% 174.14/27.36  | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | |   (201)  all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 174.14/27.36  | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | BETA: splitting (201) gives:
% 174.14/27.36  | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | |   (202)  all_56_2 = e3
% 174.14/27.36  | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | REF_CLOSE: (33), (181), (202) are inconsistent by sub-proof
% 174.14/27.36  | | | | | | | | | | | | | |            #960.
% 174.14/27.36  | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | Case 2:
% 174.14/27.36  | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | |   (203)   ~ (all_56_2 = e3)
% 174.14/27.36  | | | | | | | | | | | | | |   (204)  all_56_6 = e3 | all_56_12 = e3
% 174.14/27.36  | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | REDUCE: (181), (203) imply:
% 174.14/27.36  | | | | | | | | | | | | | |   (205)   ~ (e3 = e2)
% 174.14/27.36  | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | BETA: splitting (113) gives:
% 174.14/27.36  | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | |   (206)  all_58_22 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | REF_CLOSE: (32), (91), (206) are inconsistent by sub-proof
% 174.14/27.36  | | | | | | | | | | | | | | |            #923.
% 174.14/27.36  | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | Case 2:
% 174.14/27.36  | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | |   (207)  all_58_20 = e3 | all_58_21 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 174.14/27.36  | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | |   (208)  all_58_21 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | COMBINE_EQS: (84), (208) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | |   (209)  all_4_2 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | REDUCE: (187), (209) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | |   (210)  $false
% 174.14/27.36  | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | CLOSE: (210) is inconsistent.
% 174.14/27.36  | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | Case 2:
% 174.14/27.36  | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | |   (211)  all_58_20 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | |   (212)   ~ (all_58_21 = e2)
% 174.14/27.36  | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | COMBINE_EQS: (59), (211) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | |   (213)  all_52_4 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | COMBINE_EQS: (2), (213) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | |   (214)  all_56_1 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | REDUCE: (34), (213) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | |   (215)   ~ (all_52_7 = e3)
% 174.14/27.36  | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | SIMP: (215) implies:
% 174.14/27.36  | | | | | | | | | | | | | | | |   (216)   ~ (all_52_7 = e3)
% 174.14/27.36  | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | REDUCE: (77), (213) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | |   (217)   ~ (all_52_8 = e3)
% 174.14/27.36  | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | SIMP: (217) implies:
% 174.14/27.36  | | | | | | | | | | | | | | | |   (218)   ~ (all_52_8 = e3)
% 174.14/27.36  | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | REDUCE: (71), (213) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | |   (219)   ~ (all_52_12 = e3)
% 174.14/27.36  | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | SIMP: (219) implies:
% 174.14/27.36  | | | | | | | | | | | | | | | |   (220)   ~ (all_52_12 = e3)
% 174.14/27.36  | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | BETA: splitting (93) gives:
% 174.14/27.36  | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | |   (221)  all_56_1 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | COMBINE_EQS: (214), (221) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | |   (222)  e3 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | REDUCE: (33), (222) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | |   (223)  $false
% 174.14/27.36  | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | CLOSE: (223) is inconsistent.
% 174.14/27.36  | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.36  | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | |   (224)  all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | BETA: splitting (96) gives:
% 174.14/27.36  | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | |   (225)  all_58_31 = e0
% 174.14/27.36  | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23), (225) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | |   (226)  all_14_2 = e0
% 174.14/27.36  | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | REDUCE: (13), (226) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | |   (227)  $false
% 174.14/27.36  | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | CLOSE: (227) is inconsistent.
% 174.14/27.36  | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | |   (228)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 |
% 174.14/27.36  | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 174.14/27.36  | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 174.14/27.36  | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 174.14/27.36  | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 174.14/27.36  | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 174.14/27.36  | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 174.14/27.36  | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 174.14/27.36  | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.14/27.36  | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.14/27.36  | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.14/27.36  | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 174.14/27.36  | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 174.14/27.36  | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 174.14/27.36  | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.14/27.36  | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |   (229)  all_58_26 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22), (229) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |   (230)  all_10_2 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | REDUCE: (74), (230) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |   (231)   ~ (all_52_14 = e1)
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (73), (88), (90), (108), (220), (231) are
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #795.
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |   (232)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            & all_58_18 = e1 & all_58_20 = e3 & all_58_24 =
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            all_58_20 = e3 & all_58_28 = e0) | (all_58_17 =
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_17 = e3 & all_58_20 = e3 &
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            all_58_23 = e2 & all_58_29 = e2) | (all_58_17 =
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            = e3) | (all_58_17 = e2 & all_58_19 = e3 &
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            all_58_20 = e2 & all_58_28 = e3) | (all_58_17 =
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            all_58_23 = e0 & all_58_29 = e0) | (all_58_17 =
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            & all_58_19 = e0 & all_58_24 = e3 & all_58_28 =
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            all_58_24 = e3 & all_58_25 = e1) | (all_58_18 =
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            all_58_24 = e1 & all_58_28 = e3) | (all_58_18 =
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_18 =
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_28 = e3 & all_58_29 =
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 =
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 =
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_25 = e2 & all_58_29 =
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            e0) | (all_58_22 = e2 & all_58_25 = e2 &
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            all_58_27 = e1 & all_58_30 = e1) | (all_58_22 =
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_22 = e1 & all_58_25 = e1 &
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_22 =
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            & all_58_27 = e0 & all_58_29 = e2 & all_58_30 =
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            e0) | (all_58_23 = e0 & all_58_27 = e1 &
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            all_58_29 = e0 & all_58_30 = e1) | (all_58_23 =
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0
% 174.14/27.36  | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0 & e1 = e0)
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | |   (233)  all_56_6 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (65), (233) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | |   (234)  all_52_2 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (43), (234) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | |   (235)  all_58_18 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | REDUCE: (82), (234) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | |   (236)   ~ (all_52_14 = e3)
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | SIMP: (236) implies:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | |   (237)   ~ (all_52_14 = e3)
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | |   (238)  all_56_4 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (57), (238) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | |   (239)  all_52_8 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | REDUCE: (218), (239) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | |   (240)  $false
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | CLOSE: (240) is inconsistent.
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | |   (241)   ~ (all_56_4 = e3)
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | |   (242)  all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | |   (243)  all_56_5 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8), (243) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | |   (244)  all_52_9 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (80), (244) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | |   (245)  all_58_25 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (244) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | |   (246)   ~ (all_4_2 = e3)
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | SIMP: (246) implies:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | |   (247)   ~ (all_4_2 = e3)
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (87) gives:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | |   (248)  all_56_2 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (43), (44), (49), (103), (173), (179),
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | |            (181), (248) are inconsistent by sub-proof #602.
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | |   (249)  all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | |   (250)  all_56_3 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (72), (250) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | |   (251)  all_4_2 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (84), (251) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | |   (252)  all_58_21 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (251) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | |   (253)   ~ (all_52_7 = e1)
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  all_56_1 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (214), (254) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  e3 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (255) implies:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  e3 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (211), (256) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  all_58_20 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (36), (91), (113), (252), (257) are
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #767.
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  all_56_4 = e2 | all_56_9 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  all_56_4 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (57), (159), (259) are inconsistent by sub-proof
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | |            #600.
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  all_56_9 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (31), (260) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  all_52_12 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (261) implies:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  all_52_12 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (90), (262) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  all_58_28 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (262) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)   ~ (all_52_14 = e2)
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (264) implies:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)   ~ (all_52_14 = e2)
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (41) gives:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  all_56_9 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (266) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  e2 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (43), (44), (49), (103), (173), (179), (267)
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #599.
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  all_56_4 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (57), (269) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  all_52_8 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (270) implies:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  all_52_8 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (68), (271) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)  all_58_24 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (98) gives:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  all_54_11 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (97), (273) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  all_52_14 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (274) implies:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)  all_52_14 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (28), (275) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)  all_58_30 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (275) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)   ~ (all_14_2 = e1)
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (277) implies:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)   ~ (all_14_2 = e1)
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (237), (275) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)   ~ (e3 = e1)
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  all_58_21 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (280) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  e2 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (179), (281) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  all_58_17 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (43), (44), (49), (103), (173), (282) are
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #630.
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  all_58_16 = e3 | (all_58_17 = e3 & all_58_18 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_20 = e3 & all_58_24 = e1) | (all_58_17
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0) | (all_58_17 = e3 & all_58_20 =
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_22 = e2 & all_58_25 = e2) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_18 = e1 & all_58_24
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 =
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e3 & all_58_29 = e0) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_19 = e0 & all_58_23
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_19 = e0 & all_58_28
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e3 = e0) | (all_58_22 = e2 & all_58_23 =
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_25 = e2 & all_58_29 = e0) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  all_56_3 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (284) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  e2 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (179), (285) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  all_58_17 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (43), (44), (49), (103), (173), (286) are
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #630.
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  all_56_7 = e2 | all_56_13 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (287) gives:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  all_56_7 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (52), (288) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  e2 = e0
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (88), (289) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  $false
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (290) is inconsistent.
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  all_56_13 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (45), (291) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  all_52_7 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (292) implies:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  all_52_7 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5), (293) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  all_58_23 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (283) gives:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  all_58_16 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (44), (295) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  e3 = e0
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (211), (296) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  all_58_20 = e0
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (84), (187), (207), (297) are inconsistent
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #974.
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)   ~ (all_58_16 = e3)
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (298) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)   ~ (e3 = e0)
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (299) gives:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2)
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (304) implies:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  all_58_18 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)  all_58_17 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (179), (306) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  e3 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (235), (305) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  e3 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (308) implies:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  e3 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (309) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  e2 = e1
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (43), (44), (49), (103), (173), (306),
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (307), (310) are inconsistent by sub-proof #598.
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_17 = e3 & all_58_20
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_22 = e2 & all_58_25 = e2)
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (312) implies:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  all_58_28 = e0
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  all_58_17 = e3
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (179), (314) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  e3 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (313) imply:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  e2 = e0
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (84), (187), (207), (211), (315), (316) are
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #597.
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 &
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (317) implies:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  all_58_25 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  all_58_22 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (49), (84), (187), (207), (211), (245),
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (318), (319) are inconsistent by sub-proof #596.
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 174.14/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (321) gives:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (322) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  all_58_29 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  all_58_17 = e3
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (179), (324) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  e3 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (73), (323) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  e2 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (326) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  e2 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (84), (187), (207), (211), (325), (327) are
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #597.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e3
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (328) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  all_58_20 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (36), (91), (113), (252), (329) are
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #767.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (36), (91), (113), (252), (330) are
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #595.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (33), (36), (91), (113), (252), (333) are
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #594.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (335) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  all_58_24 = e3
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  all_58_19 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (198), (337) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  e1 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (336) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  e3 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (84), (187), (207), (211), (338), (339) are
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #593.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 &
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (340) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  all_58_25 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  all_58_22 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (49), (84), (187), (207), (211), (245),
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (341), (342) are inconsistent by sub-proof #592.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (343) gives:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (344) gives:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (345) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (346)  all_58_27 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  all_58_24 = e3
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (347) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  e3 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (70), (346) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  e1 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (349) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  e1 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (84), (187), (207), (211), (348), (350) are
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #593.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (351) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (352)  all_58_28 = e3
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (353)  all_58_19 = e3
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (198), (353) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (354)  e3 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (354) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (355)  e3 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (352) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (356)  e3 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (43), (44), (49), (103), (173), (179),
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (355), (356) are inconsistent by sub-proof #591.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (357)  (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (357) gives:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (358)  all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 &
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (358) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (359)  all_58_25 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  all_58_22 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (361)  all_58_18 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (235), (361) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (362)  e3 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (362) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  e3 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (32), (360) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  e2 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (359) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (365)  e3 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (365) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (366)  e3 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (363), (366) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (367)  e2 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (367) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (368)  e2 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (364), (368) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (369)  e1 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (369) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (370)  e1 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (84), (187), (207), (211), (363), (370) are
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #593.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (371)  all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (371) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (372)  all_58_30 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (373)  all_58_18 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (235), (373) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (374)  e3 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (84), (187), (207), (211), (276), (372),
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (374) are inconsistent by sub-proof #590.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (375)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (375) gives:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (376)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (377)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (377) gives:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (378)  all_58_18 = e1 & all_58_24 = e1 & e3 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (378) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (379)  all_58_18 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (235), (379) are inconsistent by sub-proof
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #589.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (380)  (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (381)  all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (381) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (382)  all_58_28 = e3
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (383)  all_58_23 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (383) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (384)  e2 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (384) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (385)  e2 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (382) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (386)  e3 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (386) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (387)  e3 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (84), (187), (207), (211), (385), (387) are
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #597.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (388)  all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (388) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (389)  all_58_30 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (390)  all_58_28 = e3
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (391)  all_58_19 = e3
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (198), (391) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (392)  e3 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (392) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (393)  e3 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (390) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (394)  e3 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (394) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (395)  e3 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (389) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (396)  e1 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (396) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (397)  e1 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (393), (395) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (398)  e2 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (398) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (399)  e2 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (84), (187), (207), (211), (395), (399) are
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #597.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (400)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (400) gives:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (401)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (401) gives:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (402)  all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (402) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (403)  all_58_29 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (404)  all_58_19 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (198), (404) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (405)  e1 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (73), (403) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (406)  e2 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (406) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (407)  e2 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (26), (28), (36), (49), (50), (65), (82),
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (85), (91), (108), (191), (195), (263), (268),
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (278), (405), (407) are inconsistent by sub-proof
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #587.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (408)  all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (408) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (409)  all_58_28 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (410)  all_58_27 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (70), (410) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (411)  e1 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (411) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (412)  e1 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (409) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (413)  e2 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (26), (28), (36), (49), (50), (65), (82),
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (85), (91), (108), (191), (195), (263), (268),
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (278), (412), (413) are inconsistent by sub-proof
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #587.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (414)  (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (414) gives:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (415)  all_58_19 = e0 & all_58_28 = e0 & e3 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (415) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (416)  e3 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (211), (416) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (417)  all_58_20 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (84), (187), (207), (417) are inconsistent
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #974.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (418)  all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (418) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (419)  all_58_25 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (420)  all_58_23 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (420) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (421)  e2 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (421) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (422)  e2 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (419) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (423)  e3 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (423) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (424)  e3 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (84), (187), (207), (211), (422), (424) are
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #597.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (425)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (425) gives:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (426)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (426) gives:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (427)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (427) gives:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (428)  all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (428) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (429)  all_58_25 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (430)  all_58_22 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (49), (84), (187), (207), (211), (245),
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (429), (430) are inconsistent by sub-proof #596.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (431)  all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (431) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (432)  all_58_25 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (433)  all_58_22 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (49), (84), (187), (207), (211), (245),
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (432), (433) are inconsistent by sub-proof #592.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (434)  (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (434) gives:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (435)  all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (435) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (436)  all_58_30 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (437)  all_58_25 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (437) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (438)  e3 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (84), (187), (207), (211), (276), (436),
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (438) are inconsistent by sub-proof #590.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (439)  all_58_22 = e1 & all_58_25 = e1 & e2 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (439) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (440)  all_58_25 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (441)  all_58_22 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (49), (84), (187), (207), (211), (245),
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (440), (441) are inconsistent by sub-proof #592.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (442)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (442) gives:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (443)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (443) gives:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (444)  all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (444) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (445)  all_58_30 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (446)  all_58_29 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (73), (446) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (447)  e2 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (445) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (448)  e1 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (448) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (449)  e1 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (26), (28), (36), (49), (50), (65), (82),
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (85), (91), (108), (191), (195), (263), (268),
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (278), (447), (449) are inconsistent by sub-proof
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #587.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (450)  all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (450) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (451)  all_58_27 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (452)  all_58_23 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (452) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (453)  e2 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (453) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (454)  e2 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (70), (451) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (455)  e1 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (455) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (456)  e1 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (26), (28), (36), (49), (50), (65), (82),
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (85), (91), (108), (191), (195), (263), (268),
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (278), (454), (456) are inconsistent by sub-proof
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #587.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (457)  (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (457) gives:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (458)  all_58_23 = e0 & all_58_29 = e0 & e2 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (458) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (459)  all_58_23 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (88), (294), (459) are inconsistent by sub-proof
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #586.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (460)  all_58_27 = e0 & all_58_30 = e0 & e1 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (460) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (461)  all_58_30 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (461) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (462)  e1 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (462) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (463)  e1 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (195), (463) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (464)  all_56_12 = e0
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (91), (191), (233), (464) are inconsistent by
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #725.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (465)  all_54_11 = e3 | all_54_11 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (97), (237), (265), (465) are inconsistent by
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #584.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (466)   ~ (all_56_4 = e1)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (466) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (467)   ~ (all_52_8 = e1)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (27), (159), (218), (467) are inconsistent
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #690.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | |   (468)   ~ (all_56_3 = e1)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (468) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | |   (469)   ~ (all_4_2 = e1)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (95), (187), (247), (469) are inconsistent
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #958.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | |   (470)   ~ (all_56_5 = e3)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (470) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | |   (471)   ~ (all_52_9 = e3)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (27) gives:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | |   (472)  all_54_2 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25), (472) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | |   (473)  all_52_8 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (473) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | |   (474)  all_52_8 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (474) imply:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | |   (475)   ~ (all_52_9 = e1)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (475) implies:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | |   (476)   ~ (all_52_9 = e1)
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (78), (183), (471), (476) are inconsistent
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #883.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | |   (477)  all_54_2 = e3 | all_54_2 = e2
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (159), (218), (477) are inconsistent by
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #691.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | |   (478)  all_56_12 = e3
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | |   (479)  all_56_6 = e1
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (65), (173), (479) are inconsistent by sub-proof
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | |            #583.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (195), (478) are inconsistent by sub-proof
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | |            #582.
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | | 
% 174.14/27.37  | | | | | | | | Case 2:
% 174.14/27.37  | | | | | | | | | 
% 174.14/27.37  | | | | | | | | |   (480)  all_58_16 = e3
% 174.14/27.37  | | | | | | | | | 
% 174.14/27.37  | | | | | | | | | REF_CLOSE: (44), (49), (480) are inconsistent by sub-proof
% 174.14/27.37  | | | | | | | | |            #633.
% 174.14/27.37  | | | | | | | | | 
% 174.14/27.37  | | | | | | | | End of split
% 174.14/27.37  | | | | | | | | 
% 174.14/27.37  | | | | | | | End of split
% 174.14/27.37  | | | | | | | 
% 174.14/27.37  | | | | | | End of split
% 174.14/27.37  | | | | | | 
% 174.14/27.37  | | | | | End of split
% 174.14/27.37  | | | | | 
% 174.14/27.37  | | | | End of split
% 174.14/27.37  | | | | 
% 174.14/27.37  | | | End of split
% 174.14/27.37  | | | 
% 174.14/27.37  | | End of split
% 174.14/27.37  | | 
% 174.14/27.37  | End of split
% 174.14/27.37  | 
% 174.14/27.37  End of proof
% 174.14/27.37  
% 174.14/27.37  Sub-proof #582 shows that the following formulas are inconsistent:
% 174.14/27.37  ----------------------------------------------------------------
% 174.14/27.37    (1)  all_56_12 = e3
% 174.14/27.37    (2)  all_56_12 = e1
% 174.14/27.37    (3)   ~ (e3 = e1)
% 174.14/27.37  
% 174.14/27.37  Begin of proof
% 174.14/27.37  | 
% 174.14/27.37  | COMBINE_EQS: (1), (2) imply:
% 174.14/27.37  |   (4)  e3 = e1
% 174.14/27.37  | 
% 174.14/27.37  | SIMP: (4) implies:
% 174.14/27.37  |   (5)  e3 = e1
% 174.14/27.37  | 
% 174.14/27.37  | REDUCE: (3), (5) imply:
% 174.14/27.37  |   (6)  $false
% 174.14/27.37  | 
% 174.14/27.37  | CLOSE: (6) is inconsistent.
% 174.14/27.37  | 
% 174.14/27.37  End of proof
% 174.14/27.37  
% 174.14/27.37  Sub-proof #583 shows that the following formulas are inconsistent:
% 174.14/27.37  ----------------------------------------------------------------
% 174.14/27.37    (1)  all_56_6 = all_52_2
% 174.14/27.37    (2)  all_56_6 = e1
% 174.14/27.37    (3)   ~ (all_52_2 = e1)
% 174.14/27.37  
% 174.14/27.37  Begin of proof
% 174.14/27.37  | 
% 174.14/27.37  | COMBINE_EQS: (1), (2) imply:
% 174.14/27.37  |   (4)  all_52_2 = e1
% 174.14/27.37  | 
% 174.14/27.37  | SIMP: (4) implies:
% 174.14/27.37  |   (5)  all_52_2 = e1
% 174.14/27.37  | 
% 174.14/27.37  | REDUCE: (3), (5) imply:
% 174.14/27.37  |   (6)  $false
% 174.14/27.37  | 
% 174.14/27.37  | CLOSE: (6) is inconsistent.
% 174.14/27.37  | 
% 174.14/27.37  End of proof
% 174.14/27.37  
% 174.14/27.37  Sub-proof #584 shows that the following formulas are inconsistent:
% 174.14/27.37  ----------------------------------------------------------------
% 174.14/27.37    (1)  all_54_11 = e3 | all_54_11 = e2
% 174.14/27.37    (2)  all_54_11 = all_52_14
% 174.14/27.37    (3)   ~ (all_52_14 = e2)
% 174.14/27.37    (4)   ~ (all_52_14 = e3)
% 174.14/27.37  
% 174.14/27.37  Begin of proof
% 174.14/27.37  | 
% 174.14/27.37  | BETA: splitting (1) gives:
% 174.14/27.37  | 
% 174.14/27.37  | Case 1:
% 174.14/27.37  | | 
% 174.14/27.37  | |   (5)  all_54_11 = e2
% 174.14/27.37  | | 
% 174.14/27.37  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #585.
% 174.14/27.37  | | 
% 174.14/27.37  | Case 2:
% 174.14/27.37  | | 
% 174.14/27.37  | |   (6)  all_54_11 = e3
% 174.14/27.37  | | 
% 174.14/27.37  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #927.
% 174.14/27.37  | | 
% 174.14/27.37  | End of split
% 174.14/27.37  | 
% 174.14/27.37  End of proof
% 174.14/27.37  
% 174.14/27.37  Sub-proof #585 shows that the following formulas are inconsistent:
% 174.14/27.37  ----------------------------------------------------------------
% 174.14/27.37    (1)  all_54_11 = all_52_14
% 174.14/27.37    (2)  all_54_11 = e2
% 174.14/27.37    (3)   ~ (all_52_14 = e2)
% 174.14/27.37  
% 174.14/27.37  Begin of proof
% 174.14/27.37  | 
% 174.14/27.37  | COMBINE_EQS: (1), (2) imply:
% 174.14/27.37  |   (4)  all_52_14 = e2
% 174.14/27.37  | 
% 174.14/27.37  | SIMP: (4) implies:
% 174.14/27.37  |   (5)  all_52_14 = e2
% 174.14/27.37  | 
% 174.14/27.37  | REDUCE: (3), (5) imply:
% 174.14/27.37  |   (6)  $false
% 174.14/27.37  | 
% 174.14/27.37  | CLOSE: (6) is inconsistent.
% 174.14/27.37  | 
% 174.14/27.37  End of proof
% 174.14/27.37  
% 174.14/27.37  Sub-proof #586 shows that the following formulas are inconsistent:
% 174.14/27.37  ----------------------------------------------------------------
% 174.14/27.37    (1)  all_58_23 = e2
% 174.14/27.37    (2)  all_58_23 = e0
% 174.14/27.37    (3)   ~ (e2 = e0)
% 174.14/27.37  
% 174.14/27.37  Begin of proof
% 174.14/27.37  | 
% 174.14/27.37  | COMBINE_EQS: (1), (2) imply:
% 174.14/27.37  |   (4)  e2 = e0
% 174.14/27.37  | 
% 174.14/27.37  | SIMP: (4) implies:
% 174.14/27.37  |   (5)  e2 = e0
% 174.14/27.37  | 
% 174.14/27.37  | REDUCE: (3), (5) imply:
% 174.14/27.37  |   (6)  $false
% 174.14/27.37  | 
% 174.14/27.37  | CLOSE: (6) is inconsistent.
% 174.14/27.37  | 
% 174.14/27.37  End of proof
% 174.14/27.37  
% 174.14/27.37  Sub-proof #587 shows that the following formulas are inconsistent:
% 174.14/27.37  ----------------------------------------------------------------
% 174.14/27.37    (1)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.14/27.37    (2)  all_56_12 = e1
% 174.14/27.37    (3)   ~ (all_14_2 = e1)
% 174.14/27.37    (4)  all_56_15 = all_14_2
% 174.14/27.37    (5)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.14/27.37    (6)  all_56_11 = all_52_14
% 174.14/27.37    (7)  all_58_30 = all_52_14
% 174.14/27.37    (8)   ~ (e2 = e1)
% 174.14/27.37    (9)   ~ (e3 = e0)
% 174.14/27.37    (10)  all_58_29 = all_52_13
% 174.14/27.37    (11)  all_56_6 = all_52_2
% 174.14/27.37    (12)  all_56_6 = e1 | all_56_12 = e1
% 174.14/27.37    (13)   ~ (all_52_2 = all_52_14)
% 174.14/27.37    (14)  all_56_10 = all_52_13
% 174.14/27.37    (15)  e2 = e0
% 174.14/27.37    (16)   ~ (e1 = e0)
% 174.14/27.37    (17)  e1 = e0
% 174.14/27.37    (18)  all_58_28 = e2
% 174.14/27.37  
% 174.14/27.37  Begin of proof
% 174.14/27.37  | 
% 174.14/27.37  | COMBINE_EQS: (2), (17) imply:
% 174.14/27.37  |   (19)  all_56_12 = e0
% 174.14/27.37  | 
% 174.14/27.37  | COMBINE_EQS: (15), (18) imply:
% 174.14/27.37  |   (20)  all_58_28 = e0
% 174.14/27.37  | 
% 174.14/27.37  | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 174.14/27.37  |            (14), (16), (19), (20) are inconsistent by sub-proof #588.
% 174.14/27.37  | 
% 174.14/27.37  End of proof
% 174.14/27.37  
% 174.14/27.37  Sub-proof #588 shows that the following formulas are inconsistent:
% 174.14/27.37  ----------------------------------------------------------------
% 174.14/27.37    (1)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.14/27.37    (2)   ~ (all_14_2 = e1)
% 174.14/27.37    (3)  all_56_15 = all_14_2
% 174.14/27.37    (4)  all_56_12 = e0
% 174.14/27.37    (5)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.14/27.37    (6)  all_56_11 = all_52_14
% 174.14/27.37    (7)  all_58_30 = all_52_14
% 174.14/27.37    (8)   ~ (e2 = e1)
% 174.14/27.37    (9)  all_58_28 = e0
% 174.14/27.37    (10)   ~ (e3 = e0)
% 174.14/27.37    (11)  all_58_29 = all_52_13
% 174.14/27.37    (12)  all_56_6 = all_52_2
% 174.14/27.37    (13)  all_56_6 = e1 | all_56_12 = e1
% 174.14/27.37    (14)   ~ (all_52_2 = all_52_14)
% 174.14/27.37    (15)  all_56_10 = all_52_13
% 174.14/27.37    (16)   ~ (e1 = e0)
% 174.14/27.37  
% 174.14/27.37  Begin of proof
% 174.14/27.37  | 
% 174.14/27.37  | BETA: splitting (13) gives:
% 174.14/27.37  | 
% 174.14/27.37  | Case 1:
% 174.14/27.37  | | 
% 174.14/27.37  | |   (17)  all_56_6 = e1
% 174.14/27.37  | | 
% 174.14/27.37  | | COMBINE_EQS: (12), (17) imply:
% 174.14/27.37  | |   (18)  all_52_2 = e1
% 174.14/27.37  | | 
% 174.14/27.37  | | SIMP: (18) implies:
% 174.14/27.37  | |   (19)  all_52_2 = e1
% 174.14/27.37  | | 
% 174.14/27.37  | | REDUCE: (14), (19) imply:
% 174.14/27.38  | |   (20)   ~ (all_52_14 = e1)
% 174.14/27.38  | | 
% 174.14/27.38  | | SIMP: (20) implies:
% 174.14/27.38  | |   (21)   ~ (all_52_14 = e1)
% 174.14/27.38  | | 
% 174.14/27.38  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (15), (21)
% 174.14/27.38  | |            are inconsistent by sub-proof #853.
% 174.14/27.38  | | 
% 174.14/27.38  | Case 2:
% 174.14/27.38  | | 
% 174.14/27.38  | |   (22)  all_56_12 = e1
% 174.14/27.38  | | 
% 174.14/27.38  | | COMBINE_EQS: (4), (22) imply:
% 174.14/27.38  | |   (23)  e1 = e0
% 174.14/27.38  | | 
% 174.14/27.38  | | REDUCE: (16), (23) imply:
% 174.14/27.38  | |   (24)  $false
% 174.14/27.38  | | 
% 174.14/27.38  | | CLOSE: (24) is inconsistent.
% 174.14/27.38  | | 
% 174.14/27.38  | End of split
% 174.14/27.38  | 
% 174.14/27.38  End of proof
% 174.14/27.38  
% 174.14/27.38  Sub-proof #589 shows that the following formulas are inconsistent:
% 174.14/27.38  ----------------------------------------------------------------
% 174.14/27.38    (1)  all_58_18 = e3
% 174.14/27.38    (2)  all_58_18 = e1
% 174.14/27.38    (3)   ~ (e3 = e1)
% 174.14/27.38  
% 174.14/27.38  Begin of proof
% 174.14/27.38  | 
% 174.14/27.38  | COMBINE_EQS: (1), (2) imply:
% 174.14/27.38  |   (4)  e3 = e1
% 174.14/27.38  | 
% 174.14/27.38  | SIMP: (4) implies:
% 174.14/27.38  |   (5)  e3 = e1
% 174.14/27.38  | 
% 174.14/27.38  | REDUCE: (3), (5) imply:
% 174.14/27.38  |   (6)  $false
% 174.14/27.38  | 
% 174.14/27.38  | CLOSE: (6) is inconsistent.
% 174.14/27.38  | 
% 174.14/27.38  End of proof
% 174.14/27.38  
% 174.14/27.38  Sub-proof #590 shows that the following formulas are inconsistent:
% 174.14/27.38  ----------------------------------------------------------------
% 174.14/27.38    (1)  all_58_30 = e0
% 174.14/27.38    (2)  all_58_30 = e1
% 174.14/27.38    (3)   ~ (e3 = e0)
% 174.14/27.38    (4)  e3 = e1
% 174.14/27.38    (5)  all_58_20 = e3
% 174.14/27.38    (6)  all_58_20 = e3 | all_58_21 = e2
% 174.14/27.38    (7)  all_58_21 = all_4_2
% 174.14/27.38    (8)   ~ (all_4_2 = e2)
% 174.14/27.38  
% 174.14/27.38  Begin of proof
% 174.14/27.38  | 
% 174.14/27.38  | SIMP: (4) implies:
% 174.14/27.38  |   (9)  e3 = e1
% 174.14/27.38  | 
% 174.14/27.38  | COMBINE_EQS: (1), (2) imply:
% 174.14/27.38  |   (10)  e1 = e0
% 174.14/27.38  | 
% 174.14/27.38  | SIMP: (10) implies:
% 174.14/27.38  |   (11)  e1 = e0
% 174.14/27.38  | 
% 174.14/27.38  | REF_CLOSE: (3), (5), (6), (7), (8), (9), (11) are inconsistent by sub-proof
% 174.14/27.38  |            #593.
% 174.14/27.38  | 
% 174.14/27.38  End of proof
% 174.14/27.38  
% 174.14/27.38  Sub-proof #591 shows that the following formulas are inconsistent:
% 174.14/27.38  ----------------------------------------------------------------
% 174.14/27.38    (1)  e3 = e1
% 174.14/27.38    (2)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.14/27.38    (3)  e3 = e2
% 174.14/27.38    (4)   ~ (e2 = e1)
% 174.14/27.38    (5)   ~ (all_52_2 = e1)
% 174.14/27.38    (6)  all_58_18 = all_52_2
% 174.14/27.38    (7)  all_58_16 = e0
% 174.14/27.38    (8)   ~ (e3 = e0)
% 174.14/27.38    (9)  all_58_17 = e2
% 174.14/27.38  
% 174.14/27.38  Begin of proof
% 174.14/27.38  | 
% 174.14/27.38  | SIMP: (3) implies:
% 174.14/27.38  |   (10)  e3 = e2
% 174.14/27.38  | 
% 174.14/27.38  | COMBINE_EQS: (1), (10) imply:
% 174.14/27.38  |   (11)  e2 = e1
% 174.14/27.38  | 
% 174.14/27.38  | COMBINE_EQS: (9), (11) imply:
% 174.14/27.38  |   (12)  all_58_17 = e1
% 174.14/27.38  | 
% 174.14/27.38  | REF_CLOSE: (2), (4), (5), (6), (7), (8), (12) are inconsistent by sub-proof
% 174.14/27.38  |            #630.
% 174.14/27.38  | 
% 174.14/27.38  End of proof
% 174.14/27.38  
% 174.14/27.38  Sub-proof #592 shows that the following formulas are inconsistent:
% 174.14/27.38  ----------------------------------------------------------------
% 174.14/27.38    (1)  all_58_25 = e1
% 174.14/27.38    (2)  all_58_25 = e3
% 174.14/27.38    (3)  all_58_22 = e0
% 174.14/27.38    (4)  all_58_22 = e1
% 174.14/27.38    (5)   ~ (e3 = e0)
% 174.14/27.38    (6)  all_58_20 = e3
% 174.14/27.38    (7)  all_58_20 = e3 | all_58_21 = e2
% 174.14/27.38    (8)  all_58_21 = all_4_2
% 174.14/27.38    (9)   ~ (all_4_2 = e2)
% 174.14/27.38  
% 174.14/27.38  Begin of proof
% 174.14/27.38  | 
% 174.14/27.38  | COMBINE_EQS: (3), (4) imply:
% 174.14/27.38  |   (10)  e1 = e0
% 174.14/27.38  | 
% 174.14/27.38  | COMBINE_EQS: (1), (2) imply:
% 174.14/27.38  |   (11)  e3 = e1
% 174.14/27.38  | 
% 174.14/27.38  | SIMP: (11) implies:
% 174.14/27.38  |   (12)  e3 = e1
% 174.14/27.38  | 
% 174.14/27.38  | REF_CLOSE: (5), (6), (7), (8), (9), (10), (12) are inconsistent by sub-proof
% 174.14/27.38  |            #593.
% 174.14/27.38  | 
% 174.14/27.38  End of proof
% 174.14/27.38  
% 174.14/27.38  Sub-proof #593 shows that the following formulas are inconsistent:
% 174.14/27.38  ----------------------------------------------------------------
% 174.14/27.38    (1)  e3 = e1
% 174.14/27.38    (2)   ~ (e3 = e0)
% 174.14/27.38    (3)  all_58_20 = e3
% 174.14/27.38    (4)  all_58_20 = e3 | all_58_21 = e2
% 174.14/27.38    (5)  all_58_21 = all_4_2
% 174.14/27.38    (6)  e1 = e0
% 174.14/27.38    (7)   ~ (all_4_2 = e2)
% 174.14/27.38  
% 174.14/27.38  Begin of proof
% 174.14/27.38  | 
% 174.14/27.38  | COMBINE_EQS: (1), (6) imply:
% 174.14/27.38  |   (8)  e3 = e0
% 174.14/27.38  | 
% 174.14/27.38  | COMBINE_EQS: (3), (8) imply:
% 174.14/27.38  |   (9)  all_58_20 = e0
% 174.14/27.38  | 
% 174.14/27.38  | REF_CLOSE: (2), (4), (5), (7), (9) are inconsistent by sub-proof #974.
% 174.14/27.38  | 
% 174.14/27.38  End of proof
% 174.14/27.38  
% 174.14/27.38  Sub-proof #594 shows that the following formulas are inconsistent:
% 174.14/27.38  ----------------------------------------------------------------
% 174.18/27.38    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.18/27.38    (2)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.18/27.38         (all_58_17 = e2 & all_58_20 = e2 & e3 = e2)
% 174.18/27.38    (3)  all_58_22 = e0
% 174.18/27.38    (4)   ~ (e3 = e2)
% 174.18/27.38    (5)   ~ (e2 = e1)
% 174.18/27.38    (6)  all_58_21 = e1
% 174.18/27.38    (7)   ~ (e1 = e0)
% 174.18/27.38  
% 174.18/27.38  Begin of proof
% 174.18/27.38  | 
% 174.18/27.38  | BETA: splitting (2) gives:
% 174.18/27.38  | 
% 174.18/27.38  | Case 1:
% 174.18/27.38  | | 
% 174.18/27.38  | |   (8)  all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0
% 174.18/27.38  | | 
% 174.18/27.38  | | ALPHA: (8) implies:
% 174.18/27.38  | |   (9)  all_58_20 = e2
% 174.18/27.38  | | 
% 174.18/27.38  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (9) are inconsistent by sub-proof
% 174.18/27.38  | |            #767.
% 174.18/27.38  | | 
% 174.18/27.38  | Case 2:
% 174.18/27.38  | | 
% 174.18/27.38  | |   (10)  all_58_17 = e2 & all_58_20 = e2 & e3 = e2
% 174.18/27.38  | | 
% 174.18/27.38  | | ALPHA: (10) implies:
% 174.18/27.38  | |   (11)  all_58_20 = e2
% 174.18/27.38  | | 
% 174.18/27.38  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (11) are inconsistent by sub-proof
% 174.18/27.38  | |            #767.
% 174.18/27.38  | | 
% 174.18/27.38  | End of split
% 174.18/27.38  | 
% 174.18/27.38  End of proof
% 174.18/27.38  
% 174.18/27.38  Sub-proof #595 shows that the following formulas are inconsistent:
% 174.18/27.38  ----------------------------------------------------------------
% 174.18/27.38    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.18/27.38    (2)  all_58_22 = e0
% 174.18/27.38    (3)   ~ (e3 = e2)
% 174.18/27.38    (4)   ~ (e2 = e1)
% 174.18/27.38    (5)  (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.18/27.38         (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1)
% 174.18/27.38    (6)  all_58_21 = e1
% 174.18/27.38    (7)   ~ (e1 = e0)
% 174.18/27.38  
% 174.18/27.38  Begin of proof
% 174.18/27.38  | 
% 174.18/27.38  | BETA: splitting (5) gives:
% 174.18/27.38  | 
% 174.18/27.38  | Case 1:
% 174.18/27.38  | | 
% 174.18/27.38  | |   (8)  all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3
% 174.18/27.38  | | 
% 174.18/27.38  | | ALPHA: (8) implies:
% 174.18/27.38  | |   (9)  all_58_20 = e2
% 174.18/27.38  | | 
% 174.18/27.38  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (9) are inconsistent by sub-proof
% 174.18/27.38  | |            #767.
% 174.18/27.38  | | 
% 174.18/27.38  | Case 2:
% 174.18/27.38  | | 
% 174.18/27.38  | |   (10)  all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1
% 174.18/27.38  | | 
% 174.18/27.38  | | ALPHA: (10) implies:
% 174.18/27.38  | |   (11)  all_58_20 = e2
% 174.18/27.38  | | 
% 174.18/27.38  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (11) are inconsistent by sub-proof
% 174.18/27.38  | |            #767.
% 174.18/27.38  | | 
% 174.18/27.38  | End of split
% 174.18/27.38  | 
% 174.18/27.38  End of proof
% 174.18/27.38  
% 174.18/27.38  Sub-proof #596 shows that the following formulas are inconsistent:
% 174.18/27.38  ----------------------------------------------------------------
% 174.18/27.38    (1)  all_58_22 = e2
% 174.18/27.38    (2)  all_58_25 = e3
% 174.18/27.38    (3)  all_58_22 = e0
% 174.18/27.38    (4)   ~ (e3 = e0)
% 174.18/27.38    (5)  all_58_20 = e3
% 174.18/27.38    (6)  all_58_20 = e3 | all_58_21 = e2
% 174.18/27.38    (7)  all_58_21 = all_4_2
% 174.18/27.38    (8)  all_58_25 = e2
% 174.18/27.38    (9)   ~ (all_4_2 = e2)
% 174.18/27.38  
% 174.18/27.38  Begin of proof
% 174.18/27.38  | 
% 174.18/27.38  | COMBINE_EQS: (1), (3) imply:
% 174.18/27.38  |   (10)  e2 = e0
% 174.18/27.38  | 
% 174.18/27.38  | COMBINE_EQS: (2), (8) imply:
% 174.18/27.38  |   (11)  e3 = e2
% 174.18/27.38  | 
% 174.18/27.38  | SIMP: (11) implies:
% 174.18/27.38  |   (12)  e3 = e2
% 174.18/27.38  | 
% 174.18/27.38  | REF_CLOSE: (4), (5), (6), (7), (9), (10), (12) are inconsistent by sub-proof
% 174.18/27.38  |            #597.
% 174.18/27.38  | 
% 174.18/27.38  End of proof
% 174.18/27.38  
% 174.18/27.38  Sub-proof #597 shows that the following formulas are inconsistent:
% 174.18/27.38  ----------------------------------------------------------------
% 174.18/27.38    (1)  e3 = e2
% 174.18/27.38    (2)   ~ (e3 = e0)
% 174.18/27.38    (3)  all_58_20 = e3
% 174.18/27.38    (4)  all_58_20 = e3 | all_58_21 = e2
% 174.18/27.38    (5)  all_58_21 = all_4_2
% 174.18/27.38    (6)  e2 = e0
% 174.18/27.38    (7)   ~ (all_4_2 = e2)
% 174.18/27.38  
% 174.18/27.38  Begin of proof
% 174.18/27.38  | 
% 174.18/27.38  | COMBINE_EQS: (1), (6) imply:
% 174.18/27.38  |   (8)  e3 = e0
% 174.18/27.38  | 
% 174.18/27.38  | COMBINE_EQS: (3), (8) imply:
% 174.18/27.38  |   (9)  all_58_20 = e0
% 174.18/27.38  | 
% 174.18/27.38  | REF_CLOSE: (2), (4), (5), (7), (9) are inconsistent by sub-proof #974.
% 174.18/27.38  | 
% 174.18/27.38  End of proof
% 174.18/27.38  
% 174.18/27.38  Sub-proof #598 shows that the following formulas are inconsistent:
% 174.18/27.38  ----------------------------------------------------------------
% 174.18/27.38    (1)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.18/27.38    (2)  all_58_17 = e3
% 174.18/27.38    (3)  e3 = e2
% 174.18/27.38    (4)   ~ (e2 = e1)
% 174.18/27.38    (5)  e2 = e1
% 174.18/27.38    (6)   ~ (all_52_2 = e1)
% 174.18/27.38    (7)  all_58_18 = all_52_2
% 174.18/27.38    (8)  all_58_16 = e0
% 174.18/27.38    (9)   ~ (e3 = e0)
% 174.18/27.38  
% 174.18/27.38  Begin of proof
% 174.18/27.38  | 
% 174.18/27.38  | COMBINE_EQS: (3), (5) imply:
% 174.18/27.38  |   (10)  e3 = e1
% 174.18/27.38  | 
% 174.18/27.38  | COMBINE_EQS: (2), (10) imply:
% 174.18/27.38  |   (11)  all_58_17 = e1
% 174.18/27.38  | 
% 174.18/27.38  | REF_CLOSE: (1), (4), (6), (7), (8), (9), (11) are inconsistent by sub-proof
% 174.18/27.38  |            #630.
% 174.18/27.38  | 
% 174.18/27.38  End of proof
% 174.18/27.38  
% 174.18/27.38  Sub-proof #599 shows that the following formulas are inconsistent:
% 174.18/27.38  ----------------------------------------------------------------
% 174.18/27.38    (1)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.18/27.38    (2)   ~ (e2 = e1)
% 174.18/27.38    (3)   ~ (all_52_2 = e1)
% 174.18/27.38    (4)  e2 = e1
% 174.18/27.38    (5)  all_58_18 = all_52_2
% 174.18/27.38    (6)  all_58_16 = e0
% 174.18/27.38    (7)   ~ (e3 = e0)
% 174.18/27.38    (8)  all_58_17 = e2
% 174.18/27.38  
% 174.18/27.38  Begin of proof
% 174.18/27.38  | 
% 174.18/27.38  | SIMP: (4) implies:
% 174.18/27.38  |   (9)  e2 = e1
% 174.18/27.38  | 
% 174.18/27.38  | COMBINE_EQS: (8), (9) imply:
% 174.18/27.38  |   (10)  all_58_17 = e1
% 174.18/27.38  | 
% 174.18/27.38  | REF_CLOSE: (1), (2), (3), (5), (6), (7), (10) are inconsistent by sub-proof
% 174.18/27.38  |            #630.
% 174.18/27.38  | 
% 174.18/27.38  End of proof
% 174.18/27.38  
% 174.18/27.38  Sub-proof #600 shows that the following formulas are inconsistent:
% 174.18/27.38  ----------------------------------------------------------------
% 174.18/27.38    (1)  all_56_4 = all_52_8
% 174.18/27.38    (2)  all_56_4 = e2
% 174.18/27.38    (3)   ~ (all_52_8 = e2)
% 174.18/27.38  
% 174.18/27.38  Begin of proof
% 174.18/27.38  | 
% 174.18/27.38  | COMBINE_EQS: (1), (2) imply:
% 174.18/27.38  |   (4)  all_52_8 = e2
% 174.18/27.38  | 
% 174.18/27.38  | SIMP: (4) implies:
% 174.18/27.38  |   (5)  all_52_8 = e2
% 174.18/27.38  | 
% 174.18/27.38  | REDUCE: (3), (5) imply:
% 174.18/27.38  |   (6)  $false
% 174.18/27.38  | 
% 174.18/27.38  | CLOSE: (6) is inconsistent.
% 174.18/27.38  | 
% 174.18/27.38  End of proof
% 174.18/27.38  
% 174.18/27.38  Sub-proof #601 shows that the following formulas are inconsistent:
% 174.18/27.38  ----------------------------------------------------------------
% 174.18/27.38    (1)  all_56_0 = e3
% 174.18/27.38    (2)  all_56_0 = e0
% 174.18/27.38    (3)   ~ (e3 = e0)
% 174.18/27.38  
% 174.18/27.38  Begin of proof
% 174.18/27.38  | 
% 174.18/27.38  | COMBINE_EQS: (1), (2) imply:
% 174.18/27.38  |   (4)  e3 = e0
% 174.18/27.38  | 
% 174.18/27.38  | SIMP: (4) implies:
% 174.18/27.38  |   (5)  e3 = e0
% 174.18/27.38  | 
% 174.18/27.38  | REDUCE: (3), (5) imply:
% 174.18/27.38  |   (6)  $false
% 174.18/27.38  | 
% 174.18/27.38  | CLOSE: (6) is inconsistent.
% 174.18/27.38  | 
% 174.18/27.38  End of proof
% 174.18/27.38  
% 174.18/27.38  Sub-proof #602 shows that the following formulas are inconsistent:
% 174.18/27.38  ----------------------------------------------------------------
% 174.18/27.38    (1)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.18/27.38    (2)   ~ (e2 = e1)
% 174.18/27.38    (3)   ~ (all_52_2 = e1)
% 174.18/27.38    (4)  all_58_18 = all_52_2
% 174.18/27.38    (5)  all_58_16 = e0
% 174.18/27.38    (6)   ~ (e3 = e0)
% 174.18/27.38    (7)  all_56_2 = e2
% 174.18/27.38    (8)  all_58_17 = e2
% 174.18/27.38    (9)  all_56_2 = e1
% 174.18/27.38  
% 174.18/27.38  Begin of proof
% 174.18/27.38  | 
% 174.18/27.38  | COMBINE_EQS: (7), (9) imply:
% 174.18/27.38  |   (10)  e2 = e1
% 174.18/27.38  | 
% 174.18/27.38  | COMBINE_EQS: (8), (10) imply:
% 174.18/27.38  |   (11)  all_58_17 = e1
% 174.18/27.38  | 
% 174.18/27.38  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (11) are inconsistent by sub-proof
% 174.18/27.38  |            #630.
% 174.18/27.38  | 
% 174.18/27.38  End of proof
% 174.18/27.38  
% 174.18/27.38  Sub-proof #603 shows that the following formulas are inconsistent:
% 174.18/27.38  ----------------------------------------------------------------
% 174.18/27.38    (1)  all_56_0 = e1
% 174.18/27.38    (2)  all_56_0 = e0
% 174.18/27.38    (3)   ~ (e1 = e0)
% 174.18/27.38  
% 174.18/27.38  Begin of proof
% 174.18/27.38  | 
% 174.18/27.38  | COMBINE_EQS: (1), (2) imply:
% 174.18/27.38  |   (4)  e1 = e0
% 174.18/27.38  | 
% 174.18/27.38  | SIMP: (4) implies:
% 174.18/27.38  |   (5)  e1 = e0
% 174.18/27.38  | 
% 174.18/27.38  | REDUCE: (3), (5) imply:
% 174.18/27.38  |   (6)  $false
% 174.18/27.38  | 
% 174.18/27.38  | CLOSE: (6) is inconsistent.
% 174.18/27.38  | 
% 174.18/27.38  End of proof
% 174.18/27.38  
% 174.18/27.38  Sub-proof #604 shows that the following formulas are inconsistent:
% 174.18/27.38  ----------------------------------------------------------------
% 174.18/27.38    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.18/27.38    (2)   ~ (all_52_8 = all_52_12)
% 174.18/27.38    (3)   ~ (all_52_4 = all_4_2)
% 174.18/27.38    (4)  all_54_1 = all_52_4
% 174.18/27.38    (5)  all_54_2 = all_52_8
% 174.18/27.38    (6)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1
% 174.18/27.38    (7)  all_58_28 = e3 | all_58_29 = e2
% 174.18/27.38    (8)   ~ (all_52_8 = e2)
% 174.18/27.38    (9)  all_58_22 = e0
% 174.18/27.38    (10)  all_58_20 = all_52_4
% 174.18/27.38    (11)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 174.18/27.38    (12)   ~ (all_52_4 = all_52_12)
% 174.18/27.38    (13)  all_58_29 = e0
% 174.18/27.38    (14)   ~ (all_52_4 = all_52_8)
% 174.18/27.38    (15)  all_58_21 = all_4_2
% 174.18/27.38    (16)   ~ (e2 = e0)
% 174.18/27.38    (17)  all_58_28 = all_52_12
% 174.18/27.38    (18)   ~ (all_52_8 = e0)
% 174.18/27.38  
% 174.18/27.38  Begin of proof
% 174.18/27.38  | 
% 174.18/27.38  | BETA: splitting (7) gives:
% 174.18/27.38  | 
% 174.18/27.38  | Case 1:
% 174.18/27.38  | | 
% 174.18/27.38  | |   (19)  all_58_29 = e2
% 174.18/27.38  | | 
% 174.18/27.38  | | REF_CLOSE: (13), (16), (19) are inconsistent by sub-proof #889.
% 174.18/27.38  | | 
% 174.18/27.38  | Case 2:
% 174.18/27.38  | | 
% 174.18/27.38  | |   (20)  all_58_28 = e3
% 174.18/27.38  | | 
% 174.18/27.38  | | COMBINE_EQS: (17), (20) imply:
% 174.18/27.38  | |   (21)  all_52_12 = e3
% 174.18/27.38  | | 
% 174.18/27.38  | | REDUCE: (12), (21) imply:
% 174.18/27.38  | |   (22)   ~ (all_52_4 = e3)
% 174.18/27.38  | | 
% 174.18/27.38  | | REDUCE: (2), (21) imply:
% 174.18/27.38  | |   (23)   ~ (all_52_8 = e3)
% 174.18/27.38  | | 
% 174.18/27.38  | | REF_CLOSE: (1), (3), (4), (5), (6), (8), (9), (10), (11), (14), (15), (18),
% 174.18/27.38  | |            (22), (23) are inconsistent by sub-proof #605.
% 174.18/27.38  | | 
% 174.18/27.38  | End of split
% 174.18/27.38  | 
% 174.18/27.38  End of proof
% 174.18/27.38  
% 174.18/27.38  Sub-proof #605 shows that the following formulas are inconsistent:
% 174.18/27.38  ----------------------------------------------------------------
% 174.18/27.38    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.18/27.38    (2)   ~ (all_52_4 = all_4_2)
% 174.18/27.38    (3)  all_54_1 = all_52_4
% 174.18/27.38    (4)   ~ (all_52_4 = e3)
% 174.18/27.38    (5)  all_54_2 = all_52_8
% 174.18/27.38    (6)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1
% 174.18/27.38    (7)   ~ (all_52_8 = e2)
% 174.18/27.38    (8)  all_58_22 = e0
% 174.18/27.38    (9)   ~ (all_52_8 = e3)
% 174.18/27.38    (10)  all_58_20 = all_52_4
% 174.18/27.38    (11)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 174.18/27.38    (12)   ~ (all_52_4 = all_52_8)
% 174.18/27.38    (13)  all_58_21 = all_4_2
% 174.18/27.38    (14)   ~ (all_52_8 = e0)
% 174.18/27.38  
% 174.18/27.38  Begin of proof
% 174.18/27.38  | 
% 174.18/27.38  | BETA: splitting (6) gives:
% 174.18/27.38  | 
% 174.18/27.38  | Case 1:
% 174.18/27.38  | | 
% 174.18/27.38  | |   (15)  all_54_2 = e1
% 174.18/27.38  | | 
% 174.18/27.38  | | COMBINE_EQS: (5), (15) imply:
% 174.18/27.38  | |   (16)  all_52_8 = e1
% 174.18/27.38  | | 
% 174.18/27.38  | | SIMP: (16) implies:
% 174.18/27.38  | |   (17)  all_52_8 = e1
% 174.18/27.38  | | 
% 174.18/27.38  | | REDUCE: (12), (17) imply:
% 174.18/27.38  | |   (18)   ~ (all_52_4 = e1)
% 174.18/27.38  | | 
% 174.18/27.38  | | REDUCE: (14), (17) imply:
% 174.18/27.38  | |   (19)   ~ (e1 = e0)
% 174.18/27.38  | | 
% 174.18/27.38  | | REF_CLOSE: (1), (2), (3), (4), (8), (10), (11), (13), (18), (19) are
% 174.18/27.38  | |            inconsistent by sub-proof #606.
% 174.18/27.38  | | 
% 174.18/27.38  | Case 2:
% 174.18/27.38  | | 
% 174.18/27.38  | |   (20)  all_54_2 = e3 | all_54_2 = e2
% 174.18/27.38  | | 
% 174.18/27.38  | | REF_CLOSE: (5), (7), (9), (20) are inconsistent by sub-proof #691.
% 174.18/27.38  | | 
% 174.18/27.38  | End of split
% 174.18/27.38  | 
% 174.18/27.38  End of proof
% 174.18/27.38  
% 174.18/27.38  Sub-proof #606 shows that the following formulas are inconsistent:
% 174.18/27.38  ----------------------------------------------------------------
% 174.18/27.38    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.18/27.38    (2)   ~ (all_52_4 = all_4_2)
% 174.18/27.38    (3)  all_54_1 = all_52_4
% 174.18/27.38    (4)   ~ (all_52_4 = e3)
% 174.18/27.38    (5)   ~ (all_52_4 = e1)
% 174.18/27.38    (6)  all_58_22 = e0
% 174.18/27.38    (7)  all_58_20 = all_52_4
% 174.18/27.38    (8)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 174.18/27.38    (9)  all_58_21 = all_4_2
% 174.18/27.38    (10)   ~ (e1 = e0)
% 174.18/27.38  
% 174.18/27.38  Begin of proof
% 174.18/27.38  | 
% 174.18/27.38  | BETA: splitting (1) gives:
% 174.18/27.38  | 
% 174.18/27.38  | Case 1:
% 174.18/27.38  | | 
% 174.18/27.38  | |   (11)  all_58_22 = e1
% 174.18/27.38  | | 
% 174.18/27.38  | | REF_CLOSE: (6), (10), (11) are inconsistent by sub-proof #923.
% 174.18/27.38  | | 
% 174.18/27.38  | Case 2:
% 174.18/27.38  | | 
% 174.18/27.38  | |   (12)  all_58_20 = e3 | all_58_21 = e2
% 174.18/27.38  | | 
% 174.18/27.38  | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (12) are inconsistent by
% 174.18/27.38  | |            sub-proof #688.
% 174.18/27.38  | | 
% 174.18/27.38  | End of split
% 174.18/27.38  | 
% 174.18/27.38  End of proof
% 174.18/27.38  
% 174.18/27.38  Sub-proof #607 shows that the following formulas are inconsistent:
% 174.18/27.38  ----------------------------------------------------------------
% 174.18/27.38    (1)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.18/27.38    (2)  all_58_17 = all_52_1
% 174.18/27.38    (3)   ~ (e2 = e1)
% 174.18/27.38    (4)  all_52_2 = e2
% 174.18/27.38    (5)  all_58_18 = all_52_2
% 174.18/27.38    (6)  all_58_16 = e0
% 174.18/27.38    (7)   ~ (e3 = e0)
% 174.18/27.38    (8)   ~ (all_52_1 = all_52_2)
% 174.18/27.38  
% 174.18/27.38  Begin of proof
% 174.18/27.38  | 
% 174.18/27.38  | COMBINE_EQS: (4), (5) imply:
% 174.18/27.38  |   (9)  all_58_18 = e2
% 174.18/27.38  | 
% 174.18/27.38  | REDUCE: (4), (8) imply:
% 174.18/27.38  |   (10)   ~ (all_52_1 = e2)
% 174.18/27.38  | 
% 174.18/27.38  | BETA: splitting (1) gives:
% 174.18/27.38  | 
% 174.18/27.38  | Case 1:
% 174.18/27.38  | | 
% 174.18/27.38  | |   (11)  all_58_18 = e1
% 174.18/27.38  | | 
% 174.18/27.38  | | REF_CLOSE: (3), (9), (11) are inconsistent by sub-proof #610.
% 174.18/27.38  | | 
% 174.18/27.38  | Case 2:
% 174.18/27.38  | | 
% 174.18/27.38  | |   (12)  all_58_16 = e3 | all_58_17 = e2
% 174.18/27.38  | | 
% 174.18/27.38  | | REF_CLOSE: (2), (6), (7), (10), (12) are inconsistent by sub-proof #608.
% 174.18/27.38  | | 
% 174.18/27.38  | End of split
% 174.18/27.38  | 
% 174.18/27.38  End of proof
% 174.18/27.38  
% 174.18/27.38  Sub-proof #608 shows that the following formulas are inconsistent:
% 174.18/27.38  ----------------------------------------------------------------
% 174.18/27.38    (1)  all_58_17 = all_52_1
% 174.18/27.38    (2)  all_58_16 = e0
% 174.18/27.38    (3)   ~ (e3 = e0)
% 174.18/27.38    (4)   ~ (all_52_1 = e2)
% 174.18/27.38    (5)  all_58_16 = e3 | all_58_17 = e2
% 174.18/27.38  
% 174.18/27.38  Begin of proof
% 174.18/27.38  | 
% 174.18/27.38  | BETA: splitting (5) gives:
% 174.18/27.38  | 
% 174.18/27.38  | Case 1:
% 174.18/27.38  | | 
% 174.18/27.38  | |   (6)  all_58_17 = e2
% 174.18/27.38  | | 
% 174.18/27.38  | | REF_CLOSE: (1), (4), (6) are inconsistent by sub-proof #609.
% 174.18/27.38  | | 
% 174.18/27.38  | Case 2:
% 174.18/27.38  | | 
% 174.18/27.38  | |   (7)  all_58_16 = e3
% 174.18/27.38  | | 
% 174.18/27.38  | | COMBINE_EQS: (2), (7) imply:
% 174.18/27.38  | |   (8)  e3 = e0
% 174.18/27.38  | | 
% 174.18/27.38  | | REDUCE: (3), (8) imply:
% 174.18/27.38  | |   (9)  $false
% 174.18/27.38  | | 
% 174.18/27.38  | | CLOSE: (9) is inconsistent.
% 174.18/27.38  | | 
% 174.18/27.38  | End of split
% 174.18/27.38  | 
% 174.18/27.38  End of proof
% 174.18/27.38  
% 174.18/27.38  Sub-proof #609 shows that the following formulas are inconsistent:
% 174.18/27.38  ----------------------------------------------------------------
% 174.18/27.38    (1)  all_58_17 = all_52_1
% 174.18/27.38    (2)  all_58_17 = e2
% 174.18/27.38    (3)   ~ (all_52_1 = e2)
% 174.18/27.38  
% 174.18/27.38  Begin of proof
% 174.18/27.38  | 
% 174.18/27.38  | COMBINE_EQS: (1), (2) imply:
% 174.18/27.38  |   (4)  all_52_1 = e2
% 174.18/27.38  | 
% 174.18/27.38  | SIMP: (4) implies:
% 174.18/27.38  |   (5)  all_52_1 = e2
% 174.18/27.38  | 
% 174.18/27.38  | REDUCE: (3), (5) imply:
% 174.18/27.38  |   (6)  $false
% 174.18/27.38  | 
% 174.18/27.38  | CLOSE: (6) is inconsistent.
% 174.18/27.38  | 
% 174.18/27.38  End of proof
% 174.18/27.38  
% 174.18/27.38  Sub-proof #610 shows that the following formulas are inconsistent:
% 174.18/27.38  ----------------------------------------------------------------
% 174.18/27.38    (1)  all_58_18 = e2
% 174.18/27.38    (2)  all_58_18 = e1
% 174.18/27.38    (3)   ~ (e2 = e1)
% 174.18/27.38  
% 174.18/27.38  Begin of proof
% 174.18/27.38  | 
% 174.18/27.38  | COMBINE_EQS: (1), (2) imply:
% 174.18/27.38  |   (4)  e2 = e1
% 174.18/27.38  | 
% 174.18/27.38  | SIMP: (4) implies:
% 174.18/27.38  |   (5)  e2 = e1
% 174.18/27.38  | 
% 174.18/27.38  | REDUCE: (3), (5) imply:
% 174.18/27.38  |   (6)  $false
% 174.18/27.38  | 
% 174.18/27.38  | CLOSE: (6) is inconsistent.
% 174.18/27.38  | 
% 174.18/27.38  End of proof
% 174.18/27.38  
% 174.18/27.38  Sub-proof #611 shows that the following formulas are inconsistent:
% 174.18/27.38  ----------------------------------------------------------------
% 174.18/27.38    (1)   ~ (all_52_12 = all_14_2)
% 174.18/27.38    (2)  all_56_1 = all_52_4
% 174.18/27.38    (3)   ~ (all_52_8 = all_52_12)
% 174.18/27.38    (4)   ~ (all_52_4 = all_4_2)
% 174.18/27.38    (5)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.18/27.38    (6)  all_54_3 = all_52_12
% 174.18/27.38    (7)  all_58_11 = e0
% 174.18/27.38    (8)  all_58_19 = all_6_1
% 174.18/27.38    (9)  all_54_1 = all_52_4
% 174.18/27.38    (10)   ~ (all_14_2 = e0)
% 174.18/27.38    (11)   ~ (all_52_1 = all_6_1)
% 174.18/27.38    (12)  all_56_14 = all_52_11
% 174.18/27.38    (13)  all_56_8 = all_10_2
% 174.18/27.38    (14)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.18/27.38    (15)  all_58_30 = e0
% 174.18/27.38    (16)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 174.18/27.38    (17)  all_58_26 = all_10_2
% 174.18/27.38    (18)   ~ (all_52_4 = all_52_6)
% 174.18/27.38    (19)  all_58_31 = all_14_2
% 174.18/27.38    (20)   ~ (all_52_11 = all_10_2)
% 174.18/27.38    (21)   ~ (all_52_9 = all_52_13)
% 174.18/27.38    (22)  all_58_25 = e0
% 174.18/27.38    (23)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 174.18/27.38    (24)   ~ (all_52_4 = e0)
% 174.18/27.38    (25)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 174.18/27.38    (26)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.18/27.38    (27)  all_58_27 = all_52_11
% 174.18/27.38    (28)  all_54_14 = all_52_11
% 174.18/27.38    (29)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 174.18/27.38    (30)  all_58_17 = all_52_1
% 174.18/27.38    (31)  all_56_9 = all_52_12
% 174.18/27.38    (32)   ~ (all_52_2 = all_52_6)
% 174.18/27.38    (33)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 174.18/27.38    (34)   ~ (e3 = e2)
% 174.18/27.38    (35)   ~ (all_52_11 = all_6_1)
% 174.18/27.38    (36)  all_58_0 = all_52_12
% 174.18/27.38    (37)   ~ (e2 = e1)
% 174.18/27.38    (38)   ~ (all_52_6 = all_10_2)
% 174.18/27.38    (39)   ~ (all_52_2 = e0)
% 174.18/27.38    (40)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 174.18/27.38    (41)   ~ (all_52_13 = all_14_2)
% 174.18/27.38    (42)  all_54_9 = all_52_6
% 174.18/27.38    (43)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.18/27.38    (44)  all_58_18 = all_52_2
% 174.18/27.38    (45)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.18/27.38    (46)  all_58_16 = e0
% 174.18/27.38    (47)   ~ (all_52_12 = e0)
% 174.18/27.38    (48)  all_56_2 = all_52_1
% 174.18/27.38    (49)   ~ (e3 = e0)
% 174.18/27.38    (50)  all_58_29 = all_52_13
% 174.18/27.38    (51)   ~ (all_52_1 = all_52_2)
% 174.18/27.38    (52)   ~ (all_52_13 = e0)
% 174.18/27.38    (53)  all_56_4 = all_52_8
% 174.18/27.38    (54)   ~ (all_52_1 = all_52_13)
% 174.18/27.38    (55)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 174.18/27.38    (56)  all_58_20 = all_52_4
% 174.18/27.38    (57)  all_54_15 = all_14_2
% 174.18/27.38    (58)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 174.18/27.38    (59)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 174.18/27.38    (60)   ~ (all_52_8 = all_52_11)
% 174.18/27.38    (61)  all_56_12 = all_6_1
% 174.18/27.38    (62)  all_56_6 = all_52_2
% 174.18/27.38    (63)  all_58_13 = all_14_2
% 174.18/27.38    (64)  all_58_24 = all_52_8
% 174.18/27.38    (65)  all_58_22 = all_52_6
% 174.18/27.38    (66)   ~ (all_52_4 = all_52_12)
% 174.18/27.38    (67)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 174.18/27.38    (68)   ~ (all_52_11 = e0)
% 174.18/27.38    (69)   ~ (all_52_1 = e0)
% 174.18/27.38    (70)  all_58_25 = all_52_9
% 174.18/27.38    (71)   ~ (all_6_1 = e0)
% 174.18/27.38    (72)   ~ (all_52_6 = e0)
% 174.18/27.38    (73)  all_58_21 = all_4_2
% 174.18/27.38    (74)  all_58_6 = all_52_13
% 174.18/27.38    (75)  all_56_0 = e0
% 174.18/27.38    (76)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 174.18/27.38    (77)   ~ (e2 = e0)
% 174.18/27.38    (78)  all_58_28 = all_52_12
% 174.18/27.38    (79)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 174.18/27.38    (80)   ~ (e1 = e0)
% 174.18/27.38    (81)  all_54_4 = all_52_1
% 174.18/27.38    (82)  all_56_5 = e0
% 174.18/27.38    (83)  all_56_7 = all_52_6
% 174.18/27.38    (84)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 174.18/27.38            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 174.18/27.38            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 174.18/27.38            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 174.18/27.38            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 174.18/27.38            (all_58_15 = e0))
% 174.18/27.38    (85)  all_56_1 = e2 | all_56_3 = e2 | all_56_7 = e2 | all_56_13 = e2
% 174.18/27.38    (86)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 174.18/27.38          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 174.18/27.38          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.18/27.38          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 174.18/27.38          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.18/27.38          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.18/27.38          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.18/27.38          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 174.18/27.38          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.18/27.38          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 174.18/27.38            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 174.18/27.38            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 174.18/27.38            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 174.18/27.38            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 174.18/27.38            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 174.18/27.38            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 174.18/27.38            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 174.18/27.38            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 174.18/27.38            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 174.18/27.38            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 174.18/27.38            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 174.18/27.38            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 174.18/27.38            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 174.18/27.38            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 174.18/27.38            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 174.18/27.38            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.18/27.38          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.18/27.38          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.18/27.38          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 174.18/27.38            all_58_30 = e0 & e1 = e0)
% 174.18/27.38    (87)  all_54_7 = all_52_13
% 174.18/27.38    (88)  all_58_23 = e0
% 174.18/27.38    (89)   ~ (all_52_2 = all_10_2)
% 174.18/27.38    (90)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.18/27.38    (91)   ~ (all_52_12 = all_52_13)
% 174.18/27.38  
% 174.18/27.38  Begin of proof
% 174.18/27.38  | 
% 174.18/27.38  | BETA: splitting (40) gives:
% 174.18/27.38  | 
% 174.18/27.38  | Case 1:
% 174.18/27.38  | | 
% 174.18/27.38  | |   (92)  all_54_7 = e0
% 174.18/27.38  | | 
% 174.18/27.38  | | COMBINE_EQS: (87), (92) imply:
% 174.18/27.38  | |   (93)  all_52_13 = e0
% 174.18/27.38  | | 
% 174.18/27.38  | | REDUCE: (52), (93) imply:
% 174.18/27.38  | |   (94)  $false
% 174.18/27.38  | | 
% 174.18/27.38  | | CLOSE: (94) is inconsistent.
% 174.18/27.38  | | 
% 174.18/27.38  | Case 2:
% 174.18/27.38  | | 
% 174.18/27.38  | |   (95)   ~ (all_54_7 = e0)
% 174.18/27.38  | |   (96)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 174.18/27.38  | | 
% 174.18/27.38  | | BETA: splitting (33) gives:
% 174.18/27.38  | | 
% 174.18/27.38  | | Case 1:
% 174.18/27.38  | | | 
% 174.18/27.38  | | |   (97)  all_54_14 = e0
% 174.18/27.38  | | | 
% 174.18/27.38  | | | COMBINE_EQS: (28), (97) imply:
% 174.18/27.38  | | |   (98)  all_52_11 = e0
% 174.18/27.38  | | | 
% 174.18/27.38  | | | REDUCE: (68), (98) imply:
% 174.18/27.38  | | |   (99)  $false
% 174.18/27.38  | | | 
% 174.18/27.38  | | | CLOSE: (99) is inconsistent.
% 174.18/27.38  | | | 
% 174.18/27.38  | | Case 2:
% 174.18/27.38  | | | 
% 174.18/27.38  | | |   (100)   ~ (all_54_14 = e0)
% 174.18/27.38  | | |   (101)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 174.18/27.38  | | | 
% 174.18/27.38  | | | BETA: splitting (5) gives:
% 174.18/27.38  | | | 
% 174.18/27.38  | | | Case 1:
% 174.18/27.38  | | | | 
% 174.18/27.38  | | | |   (102)  all_58_19 = e0
% 174.18/27.38  | | | | 
% 174.18/27.38  | | | | COMBINE_EQS: (8), (102) imply:
% 174.18/27.38  | | | |   (103)  all_6_1 = e0
% 174.18/27.38  | | | | 
% 174.18/27.38  | | | | REDUCE: (71), (103) imply:
% 174.18/27.38  | | | |   (104)  $false
% 174.18/27.38  | | | | 
% 174.18/27.38  | | | | CLOSE: (104) is inconsistent.
% 174.18/27.38  | | | | 
% 174.18/27.38  | | | Case 2:
% 174.18/27.38  | | | | 
% 174.18/27.38  | | | |   (105)   ~ (all_58_19 = e0)
% 174.18/27.38  | | | |   (106)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.18/27.38  | | | | 
% 174.18/27.38  | | | | BETA: splitting (26) gives:
% 174.18/27.38  | | | | 
% 174.18/27.38  | | | | Case 1:
% 174.18/27.38  | | | | | 
% 174.18/27.38  | | | | |   (107)  all_58_27 = e0
% 174.18/27.38  | | | | | 
% 174.18/27.38  | | | | | COMBINE_EQS: (27), (107) imply:
% 174.18/27.38  | | | | |   (108)  all_52_11 = e0
% 174.18/27.38  | | | | | 
% 174.18/27.38  | | | | | REDUCE: (68), (108) imply:
% 174.18/27.38  | | | | |   (109)  $false
% 174.18/27.38  | | | | | 
% 174.18/27.38  | | | | | CLOSE: (109) is inconsistent.
% 174.18/27.38  | | | | | 
% 174.18/27.38  | | | | Case 2:
% 174.18/27.38  | | | | | 
% 174.18/27.38  | | | | |   (110)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.18/27.38  | | | | | 
% 174.18/27.38  | | | | | BETA: splitting (14) gives:
% 174.18/27.38  | | | | | 
% 174.18/27.38  | | | | | Case 1:
% 174.18/27.38  | | | | | | 
% 174.18/27.38  | | | | | |   (111)  all_58_31 = e0
% 174.18/27.38  | | | | | | 
% 174.18/27.38  | | | | | | COMBINE_EQS: (19), (111) imply:
% 174.18/27.38  | | | | | |   (112)  all_14_2 = e0
% 174.18/27.38  | | | | | | 
% 174.18/27.38  | | | | | | REDUCE: (10), (112) imply:
% 174.18/27.38  | | | | | |   (113)  $false
% 174.18/27.38  | | | | | | 
% 174.18/27.38  | | | | | | CLOSE: (113) is inconsistent.
% 174.18/27.38  | | | | | | 
% 174.18/27.38  | | | | | Case 2:
% 174.18/27.38  | | | | | | 
% 174.18/27.38  | | | | | |   (114)   ~ (all_58_31 = e0)
% 174.18/27.38  | | | | | |   (115)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.18/27.38  | | | | | | 
% 174.18/27.38  | | | | | | BETA: splitting (76) gives:
% 174.18/27.38  | | | | | | 
% 174.18/27.38  | | | | | | Case 1:
% 174.18/27.38  | | | | | | | 
% 174.18/27.38  | | | | | | |   (116)  all_56_2 = e1
% 174.18/27.38  | | | | | | | 
% 174.18/27.38  | | | | | | | REF_CLOSE: (5), (8), (30), (37), (44), (46), (48), (49), (51),
% 174.18/27.38  | | | | | | |            (71), (116) are inconsistent by sub-proof #628.
% 174.18/27.38  | | | | | | | 
% 174.18/27.38  | | | | | | Case 2:
% 174.18/27.38  | | | | | | | 
% 174.18/27.38  | | | | | | |   (117)   ~ (all_56_2 = e1)
% 174.18/27.38  | | | | | | | 
% 174.18/27.38  | | | | | | | REDUCE: (48), (117) imply:
% 174.18/27.38  | | | | | | |   (118)   ~ (all_52_1 = e1)
% 174.18/27.38  | | | | | | | 
% 174.18/27.38  | | | | | | | BETA: splitting (45) gives:
% 174.18/27.38  | | | | | | | 
% 174.18/27.38  | | | | | | | Case 1:
% 174.18/27.38  | | | | | | | | 
% 174.18/27.38  | | | | | | | |   (119)  all_56_0 = e2
% 174.18/27.38  | | | | | | | | 
% 174.18/27.38  | | | | | | | | REF_CLOSE: (75), (77), (119) are inconsistent by sub-proof #627.
% 174.18/27.38  | | | | | | | | 
% 174.18/27.38  | | | | | | | Case 2:
% 174.18/27.38  | | | | | | | | 
% 174.18/27.38  | | | | | | | |   (120)   ~ (all_56_0 = e2)
% 174.18/27.38  | | | | | | | |   (121)  all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.18/27.38  | | | | | | | | 
% 174.18/27.38  | | | | | | | | REDUCE: (75), (120) imply:
% 174.18/27.38  | | | | | | | |   (122)   ~ (e2 = e0)
% 174.18/27.38  | | | | | | | | 
% 174.18/27.38  | | | | | | | | BETA: splitting (90) gives:
% 174.18/27.38  | | | | | | | | 
% 174.18/27.38  | | | | | | | | Case 1:
% 174.18/27.38  | | | | | | | | | 
% 174.18/27.38  | | | | | | | | |   (123)  all_56_2 = e3
% 174.18/27.38  | | | | | | | | | 
% 174.18/27.38  | | | | | | | | | COMBINE_EQS: (48), (123) imply:
% 174.18/27.38  | | | | | | | | |   (124)  all_52_1 = e3
% 174.18/27.38  | | | | | | | | | 
% 174.18/27.38  | | | | | | | | | COMBINE_EQS: (30), (124) imply:
% 174.18/27.38  | | | | | | | | |   (125)  all_58_17 = e3
% 174.18/27.38  | | | | | | | | | 
% 174.18/27.38  | | | | | | | | | REDUCE: (51), (124) imply:
% 174.18/27.38  | | | | | | | | |   (126)   ~ (all_52_2 = e3)
% 174.18/27.38  | | | | | | | | | 
% 174.18/27.38  | | | | | | | | | SIMP: (126) implies:
% 174.18/27.38  | | | | | | | | |   (127)   ~ (all_52_2 = e3)
% 174.18/27.38  | | | | | | | | | 
% 174.18/27.38  | | | | | | | | | REDUCE: (54), (124) imply:
% 174.18/27.38  | | | | | | | | |   (128)   ~ (all_52_13 = e3)
% 174.18/27.38  | | | | | | | | | 
% 174.18/27.38  | | | | | | | | | SIMP: (128) implies:
% 174.18/27.38  | | | | | | | | |   (129)   ~ (all_52_13 = e3)
% 174.18/27.38  | | | | | | | | | 
% 174.18/27.38  | | | | | | | | | REDUCE: (11), (124) imply:
% 174.18/27.38  | | | | | | | | |   (130)   ~ (all_6_1 = e3)
% 174.18/27.38  | | | | | | | | | 
% 174.18/27.38  | | | | | | | | | SIMP: (130) implies:
% 174.18/27.38  | | | | | | | | |   (131)   ~ (all_6_1 = e3)
% 174.18/27.38  | | | | | | | | | 
% 174.18/27.38  | | | | | | | | | BETA: splitting (106) gives:
% 174.18/27.38  | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | |   (132)  all_58_18 = e1
% 174.18/27.39  | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | COMBINE_EQS: (44), (132) imply:
% 174.18/27.39  | | | | | | | | | |   (133)  all_52_2 = e1
% 174.18/27.39  | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | COMBINE_EQS: (62), (133) imply:
% 174.18/27.39  | | | | | | | | | |   (134)  all_56_6 = e1
% 174.18/27.39  | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | REDUCE: (32), (133) imply:
% 174.18/27.39  | | | | | | | | | |   (135)   ~ (all_52_6 = e1)
% 174.18/27.39  | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | SIMP: (135) implies:
% 174.18/27.39  | | | | | | | | | |   (136)   ~ (all_52_6 = e1)
% 174.18/27.39  | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | REDUCE: (89), (133) imply:
% 174.18/27.39  | | | | | | | | | |   (137)   ~ (all_10_2 = e1)
% 174.18/27.39  | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | SIMP: (137) implies:
% 174.18/27.39  | | | | | | | | | |   (138)   ~ (all_10_2 = e1)
% 174.18/27.39  | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | REDUCE: (127), (133) imply:
% 174.18/27.39  | | | | | | | | | |   (139)   ~ (e3 = e1)
% 174.18/27.39  | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | SIMP: (139) implies:
% 174.18/27.39  | | | | | | | | | |   (140)   ~ (e3 = e1)
% 174.18/27.39  | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | BETA: splitting (121) gives:
% 174.18/27.39  | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | |   (141)  all_56_2 = e2
% 174.18/27.39  | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | COMBINE_EQS: (123), (141) imply:
% 174.18/27.39  | | | | | | | | | | |   (142)  e3 = e2
% 174.18/27.39  | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | REDUCE: (34), (142) imply:
% 174.18/27.39  | | | | | | | | | | |   (143)  $false
% 174.18/27.39  | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | CLOSE: (143) is inconsistent.
% 174.18/27.39  | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | Case 2:
% 174.18/27.39  | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | |   (144)  all_56_6 = e2 | all_56_12 = e2
% 174.18/27.39  | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | BETA: splitting (110) gives:
% 174.18/27.39  | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | |   (145)  all_58_26 = e1
% 174.18/27.39  | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | REF_CLOSE: (17), (138), (145) are inconsistent by sub-proof
% 174.18/27.39  | | | | | | | | | | | |            #968.
% 174.18/27.39  | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | Case 2:
% 174.18/27.39  | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | |   (146)   ~ (all_58_26 = e1)
% 174.18/27.39  | | | | | | | | | | | |   (147)  all_58_24 = e3 | all_58_25 = e2
% 174.18/27.39  | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | BETA: splitting (147) gives:
% 174.18/27.39  | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | |   (148)  all_58_25 = e2
% 174.18/27.39  | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | REF_CLOSE: (22), (77), (148) are inconsistent by sub-proof
% 174.18/27.39  | | | | | | | | | | | | |            #850.
% 174.18/27.39  | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | Case 2:
% 174.18/27.39  | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | |   (149)  all_58_24 = e3
% 174.18/27.39  | | | | | | | | | | | | |   (150)   ~ (all_58_25 = e2)
% 174.18/27.39  | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | COMBINE_EQS: (64), (149) imply:
% 174.18/27.39  | | | | | | | | | | | | |   (151)  all_52_8 = e3
% 174.18/27.39  | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | COMBINE_EQS: (53), (151) imply:
% 174.18/27.39  | | | | | | | | | | | | |   (152)  all_56_4 = e3
% 174.18/27.39  | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | REDUCE: (60), (151) imply:
% 174.18/27.39  | | | | | | | | | | | | |   (153)   ~ (all_52_11 = e3)
% 174.18/27.39  | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | SIMP: (153) implies:
% 174.18/27.39  | | | | | | | | | | | | |   (154)   ~ (all_52_11 = e3)
% 174.18/27.39  | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | REDUCE: (3), (151) imply:
% 174.18/27.39  | | | | | | | | | | | | |   (155)   ~ (all_52_12 = e3)
% 174.18/27.39  | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | SIMP: (155) implies:
% 174.18/27.39  | | | | | | | | | | | | |   (156)   ~ (all_52_12 = e3)
% 174.18/27.39  | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | BETA: splitting (55) gives:
% 174.18/27.39  | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | |   (157)  all_56_4 = e1
% 174.18/27.39  | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | REF_CLOSE: (22), (77), (140), (147), (149), (152), (157) are
% 174.18/27.39  | | | | | | | | | | | | | |            inconsistent by sub-proof #626.
% 174.18/27.39  | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | Case 2:
% 174.18/27.39  | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | |   (158)   ~ (all_56_4 = e1)
% 174.18/27.39  | | | | | | | | | | | | | |   (159)  all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 174.18/27.39  | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | BETA: splitting (23) gives:
% 174.18/27.39  | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | |   (160)  all_56_6 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | COMBINE_EQS: (134), (160) imply:
% 174.18/27.39  | | | | | | | | | | | | | | |   (161)  e3 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | REF_CLOSE: (22), (77), (140), (147), (149), (161) are
% 174.18/27.39  | | | | | | | | | | | | | | |            inconsistent by sub-proof #643.
% 174.18/27.39  | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | Case 2:
% 174.18/27.39  | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | |   (162)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | |   (163)  all_56_6 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | COMBINE_EQS: (134), (163) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | |   (164)  e2 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | SIMP: (164) implies:
% 174.18/27.39  | | | | | | | | | | | | | | | |   (165)  e2 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | REDUCE: (37), (165) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | |   (166)  $false
% 174.18/27.39  | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | CLOSE: (166) is inconsistent.
% 174.18/27.39  | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | Case 2:
% 174.18/27.39  | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | |   (167)  all_56_12 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | COMBINE_EQS: (61), (167) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | |   (168)  all_6_1 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | SIMP: (168) implies:
% 174.18/27.39  | | | | | | | | | | | | | | | |   (169)  all_6_1 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | COMBINE_EQS: (8), (169) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | |   (170)  all_58_19 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | REDUCE: (35), (169) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | |   (171)   ~ (all_52_11 = e2)
% 174.18/27.39  | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | REDUCE: (131), (169) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | |   (172)   ~ (e3 = e2)
% 174.18/27.39  | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | BETA: splitting (25) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | |   (173)  all_56_4 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | COMBINE_EQS: (152), (173) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | |   (174)  e3 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | REDUCE: (34), (174) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | |   (175)  $false
% 174.18/27.39  | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | CLOSE: (175) is inconsistent.
% 174.18/27.39  | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.39  | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | |   (176)  all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | BETA: splitting (176) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | |   (177)  all_56_5 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (82), (177) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | |   (178)  e2 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | SIMP: (178) implies:
% 174.18/27.39  | | | | | | | | | | | | | | | | | |   (179)  e2 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | REDUCE: (77), (179) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | |   (180)  $false
% 174.18/27.39  | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | CLOSE: (180) is inconsistent.
% 174.18/27.39  | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | |   (181)  all_56_8 = e2 | all_56_14 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | |   (182)  all_56_8 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13), (182) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | |   (183)  all_10_2 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17), (183) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | |   (184)  all_58_26 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | REDUCE: (38), (183) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | |   (185)   ~ (all_52_6 = e2)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | BETA: splitting (86) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |   (186)  all_58_31 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19), (186) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |   (187)  all_14_2 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (187) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |   (188)  $false
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | CLOSE: (188) is inconsistent.
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |   (189)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |   (190)  all_58_26 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (184), (190) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |   (191)  e2 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (191) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |   (192)  $false
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | CLOSE: (192) is inconsistent.
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |   (193)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            & all_58_18 = e1 & all_58_20 = e3 & all_58_24 =
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            all_58_20 = e3 & all_58_28 = e0) | (all_58_17 =
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_17 = e3 & all_58_20 = e3 &
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            all_58_23 = e2 & all_58_29 = e2) | (all_58_17 =
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            = e3) | (all_58_17 = e2 & all_58_19 = e3 &
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            all_58_20 = e2 & all_58_28 = e3) | (all_58_17 =
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            all_58_23 = e0 & all_58_29 = e0) | (all_58_17 =
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            & all_58_19 = e0 & all_58_24 = e3 & all_58_28 =
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            all_58_24 = e3 & all_58_25 = e1) | (all_58_18 =
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            all_58_24 = e1 & all_58_28 = e3) | (all_58_18 =
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_18 =
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_28 = e3 & all_58_29 =
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 =
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 =
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_25 = e2 & all_58_29 =
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_22 = e2 & all_58_25 = e2 &
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e1 & all_58_30 = e1) | (all_58_22 =
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_22 = e1 & all_58_25 = e1 &
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_22 =
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            & all_58_27 = e0 & all_58_29 = e2 & all_58_30 =
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_23 = e0 & all_58_27 = e1 &
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            all_58_29 = e0 & all_58_30 = e1) | (all_58_23 =
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0 & e1 = e0)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | |   (194)  all_56_5 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (82), (194) are inconsistent by sub-proof
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | |            #730.
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | |   (195)  all_56_8 = e1 | all_56_14 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | |   (196)  all_54_9 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (136), (196) are inconsistent by sub-proof
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | |            #900.
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | |   (197)  all_54_9 = e3 | all_54_9 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | |   (198)  all_54_14 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (28), (198) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | |   (199)  all_52_11 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (199) implies:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | |   (200)  all_52_11 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (200) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | |   (201)  all_56_14 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (27), (200) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | |   (202)  all_58_27 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | |   (203)  all_56_7 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (83), (203) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | |   (204)  all_52_6 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (65), (204) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | |   (205)  all_58_22 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (204) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | |   (206)   ~ (all_52_4 = e3)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |   (207)  all_58_21 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (73), (207) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |   (208)  all_4_2 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (208) implies:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |   (209)  all_4_2 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (209) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |   (210)   ~ (all_52_4 = e2)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (6), (9), (15), (24), (29), (50), (59), (66),
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            (78), (79), (91), (115), (156), (206), (210) are
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #625.
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  all_58_16 = e3 | (all_58_17 = e3 & all_58_18 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_20 = e3 & all_58_24 = e1) | (all_58_17
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0) | (all_58_17 = e3 & all_58_20 =
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_22 = e2 & all_58_25 = e2) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_18 = e1 & all_58_24
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 =
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e3 & all_58_29 = e0) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_19 = e0 & all_58_23
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_19 = e0 & all_58_28
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e3 = e0) | (all_58_22 = e2 & all_58_23 =
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_25 = e2 & all_58_29 = e0) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  all_56_1 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2), (212) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  all_52_4 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (213) implies:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  all_52_4 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (56), (214) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (215)  all_58_20 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (214) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (216)   ~ (all_52_12 = e2)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (216) implies:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (217)   ~ (all_52_12 = e2)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (43) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (218)  all_56_9 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (31), (218) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (219)  all_52_12 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (219) implies:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (220)  all_52_12 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (78), (220) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)  all_58_28 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (220) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)   ~ (all_52_13 = e1)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (222) implies:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)   ~ (all_52_13 = e1)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (115) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)  all_58_30 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15), (224) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  e1 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (201), (225) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  all_56_14 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (80), (138), (195), (226) are inconsistent
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #832.
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)   ~ (all_58_30 = e1)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  all_58_28 = e3 | all_58_29 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (227) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)   ~ (e1 = e0)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (96) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)  all_54_7 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (87), (223), (230) are inconsistent by sub-proof
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #712.
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)   ~ (all_54_7 = e1)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  all_54_7 = e3 | all_54_7 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  all_54_7 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (87), (233) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  all_52_13 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (234) implies:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  all_52_13 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (50), (235) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (236)  all_58_29 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (237)  all_58_16 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (46), (237) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (238)  e3 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (149), (238) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (239)  all_58_24 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (21), (49), (50), (70), (78), (110), (138),
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (156), (228), (239) are inconsistent by sub-proof
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #624.
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (240)   ~ (all_58_16 = e3)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (241)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (240) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (242)   ~ (e3 = e0)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (243)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (244)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (245)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (246)  all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (246) implies:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (247)  all_58_24 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (77), (140), (147), (247) are inconsistent
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #967.
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_17 = e3 & all_58_20
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_22 = e2 & all_58_25 = e2)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (249) implies:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  all_58_20 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (251)  all_58_19 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (170), (251) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  e2 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (215), (250) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  e3 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (21), (49), (50), (70), (78), (110), (138),
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (149), (156), (228), (252), (253) are inconsistent
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #623.
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 &
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (254) implies:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  all_58_25 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  all_58_22 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (21), (22), (49), (50), (70), (78), (110),
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (138), (149), (156), (205), (228), (255), (256)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #622.
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (259) implies:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  all_58_23 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  all_58_20 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (215), (261) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  e3 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (88), (260) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  e2 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (21), (49), (50), (70), (78), (110), (138),
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (149), (156), (228), (262), (263) are inconsistent
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #623.
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (264) implies:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  all_58_18 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  all_58_17 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (125), (266) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  e3 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (267) implies:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  e3 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (132), (265) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  e3 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (77), (140), (147), (149), (268), (269) are
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #621.
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 &
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (271) implies:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)  all_58_28 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  all_58_19 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (170), (273) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  e3 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (274) implies:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)  e3 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (221), (272) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)  e3 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (276) implies:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)  e3 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (77), (140), (147), (149), (275), (277) are
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #621.
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (278) implies:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  all_58_25 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  all_58_22 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  all_58_17 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (125), (281) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  e3 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (282) implies:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  e3 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (205), (280) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  e3 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (284) implies:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  e3 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22), (279) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  e1 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (285) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  e2 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (287) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  e2 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (288) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  e3 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (149), (289) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  all_58_24 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (49), (147), (279), (290) are inconsistent
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #789.
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (293) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (294) implies:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  all_58_29 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (77), (140), (221), (228), (295) are inconsistent
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  all_58_17 = e2 & all_58_20 = e2 & e3 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (296) implies:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  all_58_17 = e2
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (125), (297) are inconsistent by sub-proof
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #620.
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (299) implies:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  all_58_28 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  all_58_18 = e3
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (132), (301) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  e3 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (221), (300) imply:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  e1 = e0
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (21), (49), (50), (70), (78), (110), (138),
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (149), (156), (228), (302), (303) are inconsistent
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #619.
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 &
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (304) implies:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  all_58_25 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)  all_58_22 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (37), (49), (147), (149), (205), (305),
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (306) are inconsistent by sub-proof #617.
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3)
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (309) implies:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  all_58_30 = e1
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  all_58_18 = e3
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (132), (311) imply:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  e3 = e1
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15), (310) imply:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  e1 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (21), (49), (50), (70), (78), (110), (138),
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (149), (156), (228), (312), (313) are inconsistent
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #619.
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (314) implies:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  all_58_24 = e1
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (77), (140), (147), (315) are inconsistent
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #967.
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (77), (140), (147), (316) are inconsistent
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #740.
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (318) gives:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (319) gives:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  all_58_18 = e1 & all_58_24 = e1 & e3 = e1
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (320) implies:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  all_58_24 = e1
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (77), (140), (147), (321) are inconsistent
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #967.
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (323) implies:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  all_58_29 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (77), (140), (221), (228), (324) are inconsistent
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (325) implies:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  all_58_28 = e3
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  all_58_27 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (202), (327) imply:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  e1 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (221), (326) imply:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  e3 = e1
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (329) implies:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  e3 = e1
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (21), (49), (50), (70), (78), (110), (138),
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (149), (156), (228), (328), (330) are inconsistent
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #619.
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1)
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (333) implies:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  all_58_23 = e2
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (88), (334) imply:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  e2 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (236), (335) imply:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  all_58_29 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (77), (140), (221), (228), (336) are inconsistent
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (77), (140), (170), (221), (228), (236), (337) are
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #616.
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  all_58_19 = e0 & all_58_28 = e0 & e3 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (339) implies:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  e3 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (149), (340) imply:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  all_58_24 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (21), (49), (50), (70), (78), (110), (138),
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (156), (228), (341) are inconsistent by sub-proof
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #624.
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (342) implies:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  all_58_29 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (77), (140), (221), (228), (343) are inconsistent
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (344) gives:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (345) gives:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (346)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2)
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (346) gives:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (347) implies:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  all_58_25 = e2
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  all_58_22 = e2
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (21), (22), (49), (50), (70), (78), (110),
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (138), (149), (156), (205), (228), (348), (349)
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #622.
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (350) implies:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  all_58_25 = e1
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (352)  all_58_22 = e1
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (37), (49), (147), (149), (205), (351),
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (352) are inconsistent by sub-proof #617.
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (353)  (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (353) gives:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (354)  all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (354) implies:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (355)  all_58_27 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (356)  all_58_25 = e1
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (357)  all_58_22 = e1
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (205), (357) imply:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (358)  e3 = e1
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (358) implies:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (359)  e3 = e1
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (202), (355) imply:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  e1 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (49), (147), (149), (356), (359), (360) are
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #618.
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (361)  all_58_22 = e1 & all_58_25 = e1 & e2 = e1
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (361) implies:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (362)  all_58_25 = e1
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  all_58_22 = e1
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (37), (49), (147), (149), (205), (362),
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (363) are inconsistent by sub-proof #617.
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (365)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1)
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (366)  all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (366) implies:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (367)  all_58_23 = e2
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (88), (367) imply:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (368)  e2 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (236), (368) imply:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (369)  all_58_29 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (77), (140), (221), (228), (369) are inconsistent
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (370)  all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (370) implies:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (371)  all_58_29 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (77), (140), (221), (228), (371) are inconsistent
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (372)  (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (372) gives:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (373)  all_58_23 = e0 & all_58_29 = e0 & e2 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (373) implies:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (374)  all_58_29 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (77), (140), (221), (228), (374) are inconsistent
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #747.
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (375)  all_58_27 = e0 & all_58_30 = e0 & e1 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (375) implies:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (376)  all_58_27 = e0
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (80), (138), (195), (201), (202), (376) are
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #820.
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (377)  all_54_7 = e3
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (87), (129), (377) are inconsistent by sub-proof
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #710.
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (378)   ~ (all_56_9 = e1)
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (378) imply:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (379)   ~ (all_52_12 = e1)
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (29), (156), (217), (379) are inconsistent by
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #890.
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (380)   ~ (all_56_1 = e2)
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (380) imply:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (381)   ~ (all_52_4 = e2)
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (6), (9), (15), (24), (29), (50), (59), (66),
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (78), (79), (91), (115), (156), (206), (381) are
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #625.
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (382)   ~ (all_56_7 = e3)
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (382) imply:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | |   (383)   ~ (all_52_6 = e3)
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | |   (384)  all_54_9 = e2
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (185), (384) are inconsistent by sub-proof
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            #899.
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | |   (385)  all_54_9 = e3
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (383), (385) are inconsistent by sub-proof
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | |            #862.
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | |   (386)  all_54_14 = e3 | all_54_14 = e2
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (154), (171), (386) are inconsistent by
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #772.
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | |   (387)  all_56_14 = e2
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (387) imply:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | |   (388)  all_52_11 = e2
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | SIMP: (388) implies:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | |   (389)  all_52_11 = e2
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | REDUCE: (171), (389) imply:
% 174.18/27.40  | | | | | | | | | | | | | | | | | | |   (390)  $false
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | CLOSE: (390) is inconsistent.
% 174.18/27.40  | | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | |   (391)  all_58_16 = e3 | all_58_17 = e2
% 174.18/27.40  | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | BETA: splitting (391) gives:
% 174.18/27.40  | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | Case 1:
% 174.18/27.40  | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | |   (392)  all_58_17 = e2
% 174.18/27.40  | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | COMBINE_EQS: (125), (392) imply:
% 174.18/27.40  | | | | | | | | | | |   (393)  e3 = e2
% 174.18/27.40  | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | REDUCE: (34), (393) imply:
% 174.18/27.40  | | | | | | | | | | |   (394)  $false
% 174.18/27.40  | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | CLOSE: (394) is inconsistent.
% 174.18/27.40  | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | |   (395)  all_58_16 = e3
% 174.18/27.40  | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | REF_CLOSE: (46), (49), (395) are inconsistent by sub-proof
% 174.18/27.40  | | | | | | | | | | |            #633.
% 174.18/27.40  | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | 
% 174.18/27.40  | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | 
% 174.18/27.40  | | | | | | | | |   (396)   ~ (all_56_2 = e3)
% 174.18/27.40  | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | REDUCE: (48), (396) imply:
% 174.18/27.40  | | | | | | | | |   (397)   ~ (all_52_1 = e3)
% 174.18/27.40  | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | BETA: splitting (16) gives:
% 174.18/27.40  | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | Case 1:
% 174.18/27.40  | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | |   (398)  all_54_4 = e1
% 174.18/27.40  | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | REF_CLOSE: (81), (118), (398) are inconsistent by sub-proof
% 174.18/27.40  | | | | | | | | | |            #872.
% 174.18/27.40  | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | |   (399)  all_54_4 = e3 | all_54_4 = e2
% 174.18/27.40  | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | BETA: splitting (399) gives:
% 174.18/27.40  | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | Case 1:
% 174.18/27.40  | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | |   (400)  all_54_4 = e2
% 174.18/27.40  | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | COMBINE_EQS: (81), (400) imply:
% 174.18/27.40  | | | | | | | | | | |   (401)  all_52_1 = e2
% 174.18/27.40  | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | SIMP: (401) implies:
% 174.18/27.40  | | | | | | | | | | |   (402)  all_52_1 = e2
% 174.18/27.40  | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | REDUCE: (54), (402) imply:
% 174.18/27.40  | | | | | | | | | | |   (403)   ~ (all_52_13 = e2)
% 174.18/27.40  | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | SIMP: (403) implies:
% 174.18/27.40  | | | | | | | | | | |   (404)   ~ (all_52_13 = e2)
% 174.18/27.40  | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | BETA: splitting (115) gives:
% 174.18/27.40  | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | Case 1:
% 174.18/27.40  | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | |   (405)  all_58_30 = e1
% 174.18/27.40  | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | REF_CLOSE: (15), (80), (405) are inconsistent by sub-proof
% 174.18/27.40  | | | | | | | | | | | |            #838.
% 174.18/27.40  | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | |   (406)  all_58_28 = e3 | all_58_29 = e2
% 174.18/27.40  | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | BETA: splitting (406) gives:
% 174.18/27.40  | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | Case 1:
% 174.18/27.40  | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | |   (407)  all_58_29 = e2
% 174.18/27.40  | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | COMBINE_EQS: (50), (407) imply:
% 174.18/27.40  | | | | | | | | | | | | |   (408)  all_52_13 = e2
% 174.18/27.40  | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | REDUCE: (404), (408) imply:
% 174.18/27.40  | | | | | | | | | | | | |   (409)  $false
% 174.18/27.40  | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | CLOSE: (409) is inconsistent.
% 174.18/27.40  | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | |   (410)  all_58_28 = e3
% 174.18/27.40  | | | | | | | | | | | | |   (411)   ~ (all_58_29 = e2)
% 174.18/27.40  | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | COMBINE_EQS: (78), (410) imply:
% 174.18/27.40  | | | | | | | | | | | | |   (412)  all_52_12 = e3
% 174.18/27.40  | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | COMBINE_EQS: (36), (412) imply:
% 174.18/27.40  | | | | | | | | | | | | |   (413)  all_58_0 = e3
% 174.18/27.40  | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | REDUCE: (91), (412) imply:
% 174.18/27.40  | | | | | | | | | | | | |   (414)   ~ (all_52_13 = e3)
% 174.18/27.40  | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | SIMP: (414) implies:
% 174.18/27.40  | | | | | | | | | | | | |   (415)   ~ (all_52_13 = e3)
% 174.18/27.40  | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | REDUCE: (1), (412) imply:
% 174.18/27.40  | | | | | | | | | | | | |   (416)   ~ (all_14_2 = e3)
% 174.18/27.40  | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | SIMP: (416) implies:
% 174.18/27.40  | | | | | | | | | | | | |   (417)   ~ (all_14_2 = e3)
% 174.18/27.40  | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | BETA: splitting (96) gives:
% 174.18/27.40  | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | Case 1:
% 174.18/27.40  | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | |   (418)  all_54_7 = e1
% 174.18/27.40  | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | COMBINE_EQS: (87), (418) imply:
% 174.18/27.40  | | | | | | | | | | | | | |   (419)  all_52_13 = e1
% 174.18/27.40  | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | SIMP: (419) implies:
% 174.18/27.40  | | | | | | | | | | | | | |   (420)  all_52_13 = e1
% 174.18/27.40  | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | COMBINE_EQS: (74), (420) imply:
% 174.18/27.40  | | | | | | | | | | | | | |   (421)  all_58_6 = e1
% 174.18/27.40  | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | REDUCE: (41), (420) imply:
% 174.18/27.40  | | | | | | | | | | | | | |   (422)   ~ (all_14_2 = e1)
% 174.18/27.40  | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | SIMP: (422) implies:
% 174.18/27.40  | | | | | | | | | | | | | |   (423)   ~ (all_14_2 = e1)
% 174.18/27.40  | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | BETA: splitting (84) gives:
% 174.18/27.40  | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | Case 1:
% 174.18/27.40  | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | |   (424)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~
% 174.18/27.40  | | | | | | | | | | | | | | |            (all_58_2 = e1) &  ~ (all_58_3 = e0)) | ( ~
% 174.18/27.40  | | | | | | | | | | | | | | |            (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 174.18/27.40  | | | | | | | | | | | | | | |            (all_58_6 = e1) &  ~ (all_58_7 = e0))
% 174.18/27.40  | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | BETA: splitting (424) gives:
% 174.18/27.40  | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | Case 1:
% 174.18/27.40  | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | |   (425)   ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~
% 174.18/27.40  | | | | | | | | | | | | | | | |          (all_58_2 = e1) &  ~ (all_58_3 = e0)
% 174.18/27.40  | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | ALPHA: (425) implies:
% 174.18/27.40  | | | | | | | | | | | | | | | |   (426)   ~ (all_58_0 = e3)
% 174.18/27.40  | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | REDUCE: (413), (426) imply:
% 174.18/27.40  | | | | | | | | | | | | | | | |   (427)  $false
% 174.18/27.40  | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | CLOSE: (427) is inconsistent.
% 174.18/27.40  | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | |   (428)   ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 174.18/27.40  | | | | | | | | | | | | | | | |          (all_58_6 = e1) &  ~ (all_58_7 = e0)
% 174.18/27.40  | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | ALPHA: (428) implies:
% 174.18/27.40  | | | | | | | | | | | | | | | |   (429)   ~ (all_58_6 = e1)
% 174.18/27.40  | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | REDUCE: (421), (429) imply:
% 174.18/27.40  | | | | | | | | | | | | | | | |   (430)  $false
% 174.18/27.40  | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | CLOSE: (430) is inconsistent.
% 174.18/27.40  | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | |   (431)  ( ~ (all_58_8 = e3) &  ~ (all_58_9 = e2) &  ~
% 174.18/27.40  | | | | | | | | | | | | | | |            (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 174.18/27.40  | | | | | | | | | | | | | | |            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~
% 174.18/27.40  | | | | | | | | | | | | | | |            (all_58_14 = e1) &  ~ (all_58_15 = e0))
% 174.18/27.40  | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | BETA: splitting (431) gives:
% 174.18/27.40  | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | Case 1:
% 174.18/27.40  | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | |   (432)   ~ (all_58_8 = e3) &  ~ (all_58_9 = e2) &  ~
% 174.18/27.40  | | | | | | | | | | | | | | | |          (all_58_10 = e1) &  ~ (all_58_11 = e0)
% 174.18/27.40  | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | ALPHA: (432) implies:
% 174.18/27.40  | | | | | | | | | | | | | | | |   (433)   ~ (all_58_11 = e0)
% 174.18/27.40  | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | REDUCE: (7), (433) imply:
% 174.18/27.40  | | | | | | | | | | | | | | | |   (434)  $false
% 174.18/27.40  | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | CLOSE: (434) is inconsistent.
% 174.18/27.40  | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | |   (435)   ~ (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~
% 174.18/27.40  | | | | | | | | | | | | | | | |          (all_58_14 = e1) &  ~ (all_58_15 = e0)
% 174.18/27.40  | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | ALPHA: (435) implies:
% 174.18/27.40  | | | | | | | | | | | | | | | |   (436)   ~ (all_58_13 = e2)
% 174.18/27.40  | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | REDUCE: (63), (436) imply:
% 174.18/27.40  | | | | | | | | | | | | | | | |   (437)   ~ (all_14_2 = e2)
% 174.18/27.40  | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | | REF_CLOSE: (57), (67), (417), (423), (437) are inconsistent
% 174.18/27.40  | | | | | | | | | | | | | | | |            by sub-proof #612.
% 174.18/27.40  | | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | |   (438)  all_54_7 = e3 | all_54_7 = e2
% 174.18/27.40  | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | | REF_CLOSE: (87), (404), (415), (438) are inconsistent by
% 174.18/27.40  | | | | | | | | | | | | | |            sub-proof #709.
% 174.18/27.40  | | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | Case 2:
% 174.18/27.40  | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | |   (439)  all_54_4 = e3
% 174.18/27.40  | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | | REF_CLOSE: (81), (397), (439) are inconsistent by sub-proof
% 174.18/27.40  | | | | | | | | | | |            #881.
% 174.18/27.40  | | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | | 
% 174.18/27.40  | | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | | 
% 174.18/27.40  | | | | | | | | End of split
% 174.18/27.40  | | | | | | | | 
% 174.18/27.40  | | | | | | | End of split
% 174.18/27.40  | | | | | | | 
% 174.18/27.40  | | | | | | End of split
% 174.18/27.40  | | | | | | 
% 174.18/27.40  | | | | | End of split
% 174.18/27.40  | | | | | 
% 174.18/27.40  | | | | End of split
% 174.18/27.40  | | | | 
% 174.18/27.40  | | | End of split
% 174.18/27.40  | | | 
% 174.18/27.40  | | End of split
% 174.18/27.40  | | 
% 174.18/27.40  | End of split
% 174.18/27.40  | 
% 174.18/27.40  End of proof
% 174.18/27.40  
% 174.18/27.40  Sub-proof #612 shows that the following formulas are inconsistent:
% 174.18/27.40  ----------------------------------------------------------------
% 174.18/27.40    (1)   ~ (all_14_2 = e1)
% 174.18/27.40    (2)   ~ (all_14_2 = e3)
% 174.18/27.40    (3)   ~ (all_14_2 = e2)
% 174.18/27.40    (4)  all_54_15 = all_14_2
% 174.18/27.40    (5)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 174.18/27.40  
% 174.18/27.40  Begin of proof
% 174.18/27.40  | 
% 174.18/27.40  | BETA: splitting (5) gives:
% 174.18/27.40  | 
% 174.18/27.40  | Case 1:
% 174.18/27.40  | | 
% 174.18/27.40  | |   (6)  all_54_15 = e1
% 174.18/27.40  | | 
% 174.18/27.40  | | REF_CLOSE: (1), (4), (6) are inconsistent by sub-proof #752.
% 174.18/27.40  | | 
% 174.18/27.40  | Case 2:
% 174.18/27.40  | | 
% 174.18/27.40  | |   (7)  all_54_15 = e3 | all_54_15 = e2
% 174.18/27.40  | | 
% 174.18/27.40  | | REF_CLOSE: (2), (3), (4), (7) are inconsistent by sub-proof #613.
% 174.18/27.40  | | 
% 174.18/27.40  | End of split
% 174.18/27.40  | 
% 174.18/27.40  End of proof
% 174.18/27.40  
% 174.18/27.40  Sub-proof #613 shows that the following formulas are inconsistent:
% 174.18/27.40  ----------------------------------------------------------------
% 174.18/27.40    (1)  all_54_15 = e3 | all_54_15 = e2
% 174.18/27.40    (2)  all_54_15 = all_14_2
% 174.18/27.40    (3)   ~ (all_14_2 = e2)
% 174.18/27.40    (4)   ~ (all_14_2 = e3)
% 174.18/27.40  
% 174.18/27.40  Begin of proof
% 174.18/27.40  | 
% 174.18/27.40  | BETA: splitting (1) gives:
% 174.18/27.40  | 
% 174.18/27.40  | Case 1:
% 174.18/27.40  | | 
% 174.18/27.40  | |   (5)  all_54_15 = e2
% 174.18/27.40  | | 
% 174.18/27.40  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #615.
% 174.18/27.40  | | 
% 174.18/27.40  | Case 2:
% 174.18/27.40  | | 
% 174.18/27.40  | |   (6)  all_54_15 = e3
% 174.18/27.40  | | 
% 174.18/27.40  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #614.
% 174.18/27.40  | | 
% 174.18/27.40  | End of split
% 174.18/27.40  | 
% 174.18/27.40  End of proof
% 174.18/27.40  
% 174.18/27.40  Sub-proof #614 shows that the following formulas are inconsistent:
% 174.18/27.40  ----------------------------------------------------------------
% 174.18/27.40    (1)  all_54_15 = all_14_2
% 174.18/27.40    (2)  all_54_15 = e3
% 174.18/27.40    (3)   ~ (all_14_2 = e3)
% 174.18/27.40  
% 174.18/27.40  Begin of proof
% 174.18/27.40  | 
% 174.18/27.40  | COMBINE_EQS: (1), (2) imply:
% 174.18/27.40  |   (4)  all_14_2 = e3
% 174.18/27.40  | 
% 174.18/27.40  | SIMP: (4) implies:
% 174.18/27.40  |   (5)  all_14_2 = e3
% 174.18/27.40  | 
% 174.18/27.40  | REDUCE: (3), (5) imply:
% 174.18/27.40  |   (6)  $false
% 174.18/27.40  | 
% 174.18/27.40  | CLOSE: (6) is inconsistent.
% 174.18/27.40  | 
% 174.18/27.40  End of proof
% 174.18/27.40  
% 174.18/27.40  Sub-proof #615 shows that the following formulas are inconsistent:
% 174.18/27.40  ----------------------------------------------------------------
% 174.18/27.40    (1)  all_54_15 = all_14_2
% 174.18/27.40    (2)  all_54_15 = e2
% 174.18/27.40    (3)   ~ (all_14_2 = e2)
% 174.18/27.40  
% 174.18/27.40  Begin of proof
% 174.18/27.40  | 
% 174.18/27.40  | COMBINE_EQS: (1), (2) imply:
% 174.18/27.40  |   (4)  all_14_2 = e2
% 174.18/27.40  | 
% 174.18/27.40  | SIMP: (4) implies:
% 174.18/27.40  |   (5)  all_14_2 = e2
% 174.18/27.40  | 
% 174.18/27.40  | REDUCE: (3), (5) imply:
% 174.18/27.40  |   (6)  $false
% 174.18/27.40  | 
% 174.18/27.40  | CLOSE: (6) is inconsistent.
% 174.18/27.40  | 
% 174.18/27.40  End of proof
% 174.18/27.40  
% 174.18/27.40  Sub-proof #616 shows that the following formulas are inconsistent:
% 174.18/27.40  ----------------------------------------------------------------
% 174.18/27.40    (1)   ~ (e3 = e1)
% 174.18/27.40    (2)  all_58_28 = e1
% 174.18/27.40    (3)  all_58_28 = e3 | all_58_29 = e2
% 174.18/27.40    (4)  all_58_19 = e2
% 174.18/27.40    (5)  all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 & all_58_30 = e1
% 174.18/27.40    (6)  all_58_29 = e2
% 174.18/27.40    (7)   ~ (e2 = e0)
% 174.18/27.40  
% 174.18/27.40  Begin of proof
% 174.18/27.40  | 
% 174.18/27.40  | ALPHA: (5) implies:
% 174.18/27.40  |   (8)  all_58_19 = e0
% 174.18/27.40  | 
% 174.18/27.40  | COMBINE_EQS: (4), (8) imply:
% 174.18/27.40  |   (9)  e2 = e0
% 174.18/27.40  | 
% 174.18/27.40  | COMBINE_EQS: (6), (9) imply:
% 174.18/27.40  |   (10)  all_58_29 = e0
% 174.18/27.40  | 
% 174.18/27.40  | REF_CLOSE: (1), (2), (3), (7), (10) are inconsistent by sub-proof #747.
% 174.18/27.40  | 
% 174.18/27.40  End of proof
% 174.18/27.40  
% 174.18/27.40  Sub-proof #617 shows that the following formulas are inconsistent:
% 174.18/27.40  ----------------------------------------------------------------
% 174.18/27.40    (1)  all_58_24 = e3
% 174.18/27.40    (2)  all_58_25 = e1
% 174.18/27.40    (3)  all_58_25 = e0
% 174.18/27.40    (4)  all_58_24 = e3 | all_58_25 = e2
% 174.18/27.40    (5)  all_58_22 = e3
% 174.18/27.40    (6)   ~ (e2 = e1)
% 174.18/27.40    (7)  all_58_22 = e1
% 174.18/27.40    (8)   ~ (e3 = e0)
% 174.18/27.40  
% 174.18/27.40  Begin of proof
% 174.18/27.40  | 
% 174.18/27.40  | COMBINE_EQS: (5), (7) imply:
% 174.18/27.40  |   (9)  e3 = e1
% 174.18/27.40  | 
% 174.18/27.40  | SIMP: (9) implies:
% 174.18/27.40  |   (10)  e3 = e1
% 174.18/27.40  | 
% 174.18/27.40  | COMBINE_EQS: (2), (3) imply:
% 174.18/27.40  |   (11)  e1 = e0
% 174.18/27.40  | 
% 174.18/27.40  | REF_CLOSE: (1), (2), (4), (6), (8), (10), (11) are inconsistent by sub-proof
% 174.18/27.40  |            #618.
% 174.18/27.40  | 
% 174.18/27.40  End of proof
% 174.18/27.40  
% 174.18/27.40  Sub-proof #618 shows that the following formulas are inconsistent:
% 174.18/27.40  ----------------------------------------------------------------
% 174.18/27.40    (1)  e3 = e1
% 174.18/27.40    (2)  all_58_24 = e3
% 174.18/27.40    (3)  all_58_25 = e1
% 174.18/27.40    (4)  all_58_24 = e3 | all_58_25 = e2
% 174.18/27.40    (5)   ~ (e2 = e1)
% 174.18/27.40    (6)   ~ (e3 = e0)
% 174.18/27.40    (7)  e1 = e0
% 174.18/27.40  
% 174.18/27.40  Begin of proof
% 174.18/27.40  | 
% 174.18/27.40  | COMBINE_EQS: (1), (7) imply:
% 174.18/27.40  |   (8)  e3 = e0
% 174.18/27.40  | 
% 174.18/27.40  | COMBINE_EQS: (2), (8) imply:
% 174.18/27.40  |   (9)  all_58_24 = e0
% 174.18/27.40  | 
% 174.18/27.40  | REF_CLOSE: (3), (4), (5), (6), (9) are inconsistent by sub-proof #789.
% 174.18/27.40  | 
% 174.18/27.40  End of proof
% 174.18/27.40  
% 174.18/27.40  Sub-proof #619 shows that the following formulas are inconsistent:
% 174.18/27.40  ----------------------------------------------------------------
% 174.18/27.40    (1)  e3 = e1
% 174.18/27.40    (2)  all_58_24 = e3
% 174.18/27.40    (3)  all_58_26 = all_10_2
% 174.18/27.40    (4)   ~ (all_52_12 = e3)
% 174.18/27.40    (5)   ~ (all_52_9 = all_52_13)
% 174.18/27.40    (6)  all_58_28 = e3 | all_58_29 = e2
% 174.18/27.40    (7)   ~ (all_10_2 = e1)
% 174.18/27.40    (8)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.18/27.40    (9)   ~ (e3 = e0)
% 174.18/27.40    (10)  all_58_29 = all_52_13
% 174.18/27.40    (11)  all_58_25 = all_52_9
% 174.18/27.40    (12)  all_58_28 = all_52_12
% 174.18/27.40    (13)  e1 = e0
% 174.18/27.40  
% 174.18/27.40  Begin of proof
% 174.18/27.40  | 
% 174.18/27.40  | COMBINE_EQS: (1), (13) imply:
% 174.18/27.40  |   (14)  e3 = e0
% 174.18/27.40  | 
% 174.18/27.40  | COMBINE_EQS: (2), (14) imply:
% 174.18/27.40  |   (15)  all_58_24 = e0
% 174.18/27.40  | 
% 174.18/27.40  | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (15) are
% 174.18/27.40  |            inconsistent by sub-proof #624.
% 174.18/27.40  | 
% 174.18/27.40  End of proof
% 174.18/27.40  
% 174.18/27.40  Sub-proof #620 shows that the following formulas are inconsistent:
% 174.18/27.40  ----------------------------------------------------------------
% 174.18/27.40    (1)  all_58_17 = e3
% 174.18/27.40    (2)  all_58_17 = e2
% 174.18/27.40    (3)   ~ (e3 = e2)
% 174.18/27.40  
% 174.18/27.40  Begin of proof
% 174.18/27.40  | 
% 174.18/27.40  | COMBINE_EQS: (1), (2) imply:
% 174.18/27.40  |   (4)  e3 = e2
% 174.18/27.40  | 
% 174.18/27.40  | SIMP: (4) implies:
% 174.18/27.40  |   (5)  e3 = e2
% 174.18/27.40  | 
% 174.18/27.40  | REDUCE: (3), (5) imply:
% 174.18/27.40  |   (6)  $false
% 174.18/27.40  | 
% 174.18/27.40  | CLOSE: (6) is inconsistent.
% 174.18/27.40  | 
% 174.18/27.40  End of proof
% 174.18/27.40  
% 174.18/27.40  Sub-proof #621 shows that the following formulas are inconsistent:
% 174.18/27.40  ----------------------------------------------------------------
% 174.18/27.40    (1)   ~ (e3 = e1)
% 174.18/27.40    (2)  e3 = e1
% 174.18/27.40    (3)  all_58_24 = e3
% 174.18/27.40    (4)  all_58_25 = e0
% 174.18/27.40    (5)  all_58_24 = e3 | all_58_25 = e2
% 174.18/27.40    (6)  e3 = e2
% 174.18/27.40    (7)   ~ (e2 = e0)
% 174.18/27.40  
% 174.18/27.40  Begin of proof
% 174.18/27.40  | 
% 174.18/27.40  | COMBINE_EQS: (2), (6) imply:
% 174.18/27.40  |   (8)  e2 = e1
% 174.18/27.40  | 
% 174.18/27.40  | COMBINE_EQS: (2), (3) imply:
% 174.18/27.40  |   (9)  all_58_24 = e1
% 174.18/27.40  | 
% 174.18/27.40  | REF_CLOSE: (1), (4), (5), (7), (9) are inconsistent by sub-proof #967.
% 174.18/27.40  | 
% 174.18/27.40  End of proof
% 174.18/27.40  
% 174.18/27.40  Sub-proof #622 shows that the following formulas are inconsistent:
% 174.18/27.40  ----------------------------------------------------------------
% 174.18/27.40    (1)  all_58_24 = e3
% 174.18/27.40    (2)  all_58_26 = all_10_2
% 174.18/27.40    (3)   ~ (all_52_12 = e3)
% 174.18/27.40    (4)   ~ (all_52_9 = all_52_13)
% 174.18/27.40    (5)  all_58_25 = e0
% 174.18/27.40    (6)  all_58_22 = e2
% 174.18/27.40    (7)  all_58_28 = e3 | all_58_29 = e2
% 174.18/27.40    (8)   ~ (all_10_2 = e1)
% 174.18/27.40    (9)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.18/27.40    (10)  all_58_22 = e3
% 174.18/27.40    (11)   ~ (e3 = e0)
% 174.18/27.40    (12)  all_58_29 = all_52_13
% 174.18/27.40    (13)  all_58_25 = all_52_9
% 174.18/27.40    (14)  all_58_28 = all_52_12
% 174.18/27.40    (15)  all_58_25 = e2
% 174.18/27.40  
% 174.18/27.40  Begin of proof
% 174.18/27.40  | 
% 174.18/27.40  | COMBINE_EQS: (6), (10) imply:
% 174.18/27.40  |   (16)  e3 = e2
% 174.18/27.40  | 
% 174.18/27.40  | SIMP: (16) implies:
% 174.18/27.40  |   (17)  e3 = e2
% 174.18/27.40  | 
% 174.18/27.40  | COMBINE_EQS: (5), (15) imply:
% 174.18/27.40  |   (18)  e2 = e0
% 174.18/27.40  | 
% 174.18/27.40  | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (11), (12), (13), (14), (17),
% 174.18/27.40  |            (18) are inconsistent by sub-proof #623.
% 174.18/27.40  | 
% 174.18/27.40  End of proof
% 174.18/27.40  
% 174.18/27.40  Sub-proof #623 shows that the following formulas are inconsistent:
% 174.18/27.40  ----------------------------------------------------------------
% 174.18/27.40    (1)  all_58_24 = e3
% 174.18/27.40    (2)  all_58_26 = all_10_2
% 174.18/27.40    (3)   ~ (all_52_12 = e3)
% 174.18/27.40    (4)   ~ (all_52_9 = all_52_13)
% 174.18/27.40    (5)  all_58_28 = e3 | all_58_29 = e2
% 174.18/27.40    (6)   ~ (all_10_2 = e1)
% 174.18/27.40    (7)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.18/27.40    (8)  e3 = e2
% 174.18/27.40    (9)   ~ (e3 = e0)
% 174.18/27.40    (10)  all_58_29 = all_52_13
% 174.18/27.40    (11)  all_58_25 = all_52_9
% 174.18/27.40    (12)  e2 = e0
% 174.18/27.40    (13)  all_58_28 = all_52_12
% 174.18/27.40  
% 174.18/27.40  Begin of proof
% 174.18/27.40  | 
% 174.18/27.40  | COMBINE_EQS: (8), (12) imply:
% 174.18/27.40  |   (14)  e3 = e0
% 174.18/27.40  | 
% 174.18/27.40  | COMBINE_EQS: (1), (14) imply:
% 174.18/27.40  |   (15)  all_58_24 = e0
% 174.18/27.40  | 
% 174.18/27.40  | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (10), (11), (13), (15) are
% 174.18/27.40  |            inconsistent by sub-proof #624.
% 174.18/27.40  | 
% 174.18/27.40  End of proof
% 174.18/27.40  
% 174.18/27.40  Sub-proof #624 shows that the following formulas are inconsistent:
% 174.18/27.40  ----------------------------------------------------------------
% 174.18/27.40    (1)  all_58_26 = all_10_2
% 174.18/27.40    (2)   ~ (all_52_12 = e3)
% 174.18/27.40    (3)   ~ (all_52_9 = all_52_13)
% 174.18/27.40    (4)  all_58_28 = e3 | all_58_29 = e2
% 174.18/27.40    (5)   ~ (all_10_2 = e1)
% 174.18/27.40    (6)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.18/27.40    (7)   ~ (e3 = e0)
% 174.18/27.40    (8)  all_58_29 = all_52_13
% 174.18/27.40    (9)  all_58_24 = e0
% 174.18/27.40    (10)  all_58_25 = all_52_9
% 174.18/27.40    (11)  all_58_28 = all_52_12
% 174.18/27.40  
% 174.18/27.40  Begin of proof
% 174.18/27.40  | 
% 174.18/27.40  | BETA: splitting (4) gives:
% 174.18/27.40  | 
% 174.18/27.40  | Case 1:
% 174.18/27.40  | | 
% 174.18/27.40  | |   (12)  all_58_29 = e2
% 174.18/27.41  | | 
% 174.18/27.41  | | COMBINE_EQS: (8), (12) imply:
% 174.18/27.41  | |   (13)  all_52_13 = e2
% 174.18/27.41  | | 
% 174.18/27.41  | | REDUCE: (3), (13) imply:
% 174.18/27.41  | |   (14)   ~ (all_52_9 = e2)
% 174.18/27.41  | | 
% 174.18/27.41  | | REF_CLOSE: (1), (5), (6), (7), (9), (10), (14) are inconsistent by sub-proof
% 174.18/27.41  | |            #871.
% 174.18/27.41  | | 
% 174.18/27.41  | Case 2:
% 174.18/27.41  | | 
% 174.18/27.41  | |   (15)  all_58_28 = e3
% 174.18/27.41  | | 
% 174.18/27.41  | | COMBINE_EQS: (11), (15) imply:
% 174.18/27.41  | |   (16)  all_52_12 = e3
% 174.18/27.41  | | 
% 174.18/27.41  | | REDUCE: (2), (16) imply:
% 174.18/27.41  | |   (17)  $false
% 174.18/27.41  | | 
% 174.18/27.41  | | CLOSE: (17) is inconsistent.
% 174.18/27.41  | | 
% 174.18/27.41  | End of split
% 174.18/27.41  | 
% 174.18/27.41  End of proof
% 174.18/27.41  
% 174.18/27.41  Sub-proof #625 shows that the following formulas are inconsistent:
% 174.18/27.41  ----------------------------------------------------------------
% 174.18/27.41    (1)  all_56_1 = all_52_4
% 174.18/27.41    (2)  all_54_3 = all_52_12
% 174.18/27.41    (3)  all_54_1 = all_52_4
% 174.18/27.41    (4)   ~ (all_52_4 = e3)
% 174.18/27.41    (5)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.18/27.41    (6)  all_58_30 = e0
% 174.18/27.41    (7)   ~ (all_52_12 = e3)
% 174.18/27.41    (8)   ~ (all_52_4 = e0)
% 174.18/27.41    (9)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 174.18/27.41    (10)  all_58_29 = all_52_13
% 174.18/27.41    (11)   ~ (all_52_4 = e2)
% 174.18/27.41    (12)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 174.18/27.41    (13)   ~ (all_52_4 = all_52_12)
% 174.18/27.41    (14)  all_58_28 = all_52_12
% 174.18/27.41    (15)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 174.18/27.41    (16)   ~ (all_52_12 = all_52_13)
% 174.18/27.41  
% 174.18/27.41  Begin of proof
% 174.18/27.41  | 
% 174.18/27.41  | BETA: splitting (15) gives:
% 174.18/27.41  | 
% 174.18/27.41  | Case 1:
% 174.18/27.41  | | 
% 174.18/27.41  | |   (17)  all_56_1 = e1
% 174.18/27.41  | | 
% 174.18/27.41  | | COMBINE_EQS: (1), (17) imply:
% 174.18/27.41  | |   (18)  all_52_4 = e1
% 174.18/27.41  | | 
% 174.18/27.41  | | SIMP: (18) implies:
% 174.18/27.41  | |   (19)  all_52_4 = e1
% 174.18/27.41  | | 
% 174.18/27.41  | | REDUCE: (13), (19) imply:
% 174.18/27.41  | |   (20)   ~ (all_52_12 = e1)
% 174.18/27.41  | | 
% 174.18/27.41  | | SIMP: (20) implies:
% 174.18/27.41  | |   (21)   ~ (all_52_12 = e1)
% 174.18/27.41  | | 
% 174.18/27.41  | | REDUCE: (8), (19) imply:
% 174.18/27.41  | |   (22)   ~ (e1 = e0)
% 174.18/27.41  | | 
% 174.18/27.41  | | REF_CLOSE: (2), (5), (6), (7), (9), (10), (14), (16), (21), (22) are
% 174.18/27.41  | |            inconsistent by sub-proof #755.
% 174.18/27.41  | | 
% 174.18/27.41  | Case 2:
% 174.18/27.41  | | 
% 174.18/27.41  | |   (23)   ~ (all_56_1 = e1)
% 174.18/27.41  | | 
% 174.18/27.41  | | REDUCE: (1), (23) imply:
% 174.18/27.41  | |   (24)   ~ (all_52_4 = e1)
% 174.18/27.41  | | 
% 174.18/27.41  | | REF_CLOSE: (3), (4), (11), (12), (24) are inconsistent by sub-proof #689.
% 174.18/27.41  | | 
% 174.18/27.41  | End of split
% 174.18/27.41  | 
% 174.18/27.41  End of proof
% 174.18/27.41  
% 174.18/27.41  Sub-proof #626 shows that the following formulas are inconsistent:
% 174.18/27.41  ----------------------------------------------------------------
% 174.18/27.41    (1)   ~ (e3 = e1)
% 174.18/27.41    (2)  all_56_4 = e3
% 174.18/27.41    (3)  all_58_24 = e3
% 174.18/27.41    (4)  all_56_4 = e1
% 174.18/27.41    (5)  all_58_25 = e0
% 174.18/27.41    (6)  all_58_24 = e3 | all_58_25 = e2
% 174.18/27.41    (7)   ~ (e2 = e0)
% 174.18/27.41  
% 174.18/27.41  Begin of proof
% 174.18/27.41  | 
% 174.18/27.41  | COMBINE_EQS: (2), (4) imply:
% 174.18/27.41  |   (8)  e3 = e1
% 174.18/27.41  | 
% 174.18/27.41  | COMBINE_EQS: (3), (8) imply:
% 174.18/27.41  |   (9)  all_58_24 = e1
% 174.18/27.41  | 
% 174.18/27.41  | REF_CLOSE: (1), (5), (6), (7), (9) are inconsistent by sub-proof #967.
% 174.18/27.41  | 
% 174.18/27.41  End of proof
% 174.18/27.41  
% 174.18/27.41  Sub-proof #627 shows that the following formulas are inconsistent:
% 174.18/27.41  ----------------------------------------------------------------
% 174.18/27.41    (1)  all_56_0 = e2
% 174.18/27.41    (2)  all_56_0 = e0
% 174.18/27.41    (3)   ~ (e2 = e0)
% 174.18/27.41  
% 174.18/27.41  Begin of proof
% 174.18/27.41  | 
% 174.18/27.41  | COMBINE_EQS: (1), (2) imply:
% 174.18/27.41  |   (4)  e2 = e0
% 174.18/27.41  | 
% 174.18/27.41  | SIMP: (4) implies:
% 174.18/27.41  |   (5)  e2 = e0
% 174.18/27.41  | 
% 174.18/27.41  | REDUCE: (3), (5) imply:
% 174.18/27.41  |   (6)  $false
% 174.18/27.41  | 
% 174.18/27.41  | CLOSE: (6) is inconsistent.
% 174.18/27.41  | 
% 174.18/27.41  End of proof
% 174.18/27.41  
% 174.18/27.41  Sub-proof #628 shows that the following formulas are inconsistent:
% 174.18/27.41  ----------------------------------------------------------------
% 174.18/27.41    (1)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.18/27.41    (2)  all_58_19 = all_6_1
% 174.18/27.41    (3)  all_58_17 = all_52_1
% 174.18/27.41    (4)   ~ (e2 = e1)
% 174.18/27.41    (5)  all_58_18 = all_52_2
% 174.18/27.41    (6)  all_58_16 = e0
% 174.18/27.41    (7)  all_56_2 = all_52_1
% 174.18/27.41    (8)   ~ (e3 = e0)
% 174.18/27.41    (9)   ~ (all_52_1 = all_52_2)
% 174.18/27.41    (10)   ~ (all_6_1 = e0)
% 174.18/27.41    (11)  all_56_2 = e1
% 174.18/27.41  
% 174.18/27.41  Begin of proof
% 174.18/27.41  | 
% 174.18/27.41  | COMBINE_EQS: (7), (11) imply:
% 174.18/27.41  |   (12)  all_52_1 = e1
% 174.18/27.41  | 
% 174.18/27.41  | COMBINE_EQS: (3), (12) imply:
% 174.18/27.41  |   (13)  all_58_17 = e1
% 174.18/27.41  | 
% 174.18/27.41  | REDUCE: (9), (12) imply:
% 174.18/27.41  |   (14)   ~ (all_52_2 = e1)
% 174.18/27.41  | 
% 174.18/27.41  | SIMP: (14) implies:
% 174.18/27.41  |   (15)   ~ (all_52_2 = e1)
% 174.18/27.41  | 
% 174.18/27.41  | REF_CLOSE: (1), (2), (4), (5), (6), (8), (10), (13), (15) are inconsistent by
% 174.18/27.41  |            sub-proof #629.
% 174.18/27.41  | 
% 174.18/27.41  End of proof
% 174.18/27.41  
% 174.18/27.41  Sub-proof #629 shows that the following formulas are inconsistent:
% 174.18/27.41  ----------------------------------------------------------------
% 174.18/27.41    (1)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.18/27.41    (2)  all_58_19 = all_6_1
% 174.18/27.41    (3)  all_58_17 = e1
% 174.18/27.41    (4)   ~ (e2 = e1)
% 174.18/27.41    (5)   ~ (all_52_2 = e1)
% 174.18/27.41    (6)  all_58_18 = all_52_2
% 174.18/27.41    (7)  all_58_16 = e0
% 174.18/27.41    (8)   ~ (e3 = e0)
% 174.18/27.41    (9)   ~ (all_6_1 = e0)
% 174.18/27.41  
% 174.18/27.41  Begin of proof
% 174.18/27.41  | 
% 174.18/27.41  | BETA: splitting (1) gives:
% 174.18/27.41  | 
% 174.18/27.41  | Case 1:
% 174.18/27.41  | | 
% 174.18/27.41  | |   (10)  all_58_19 = e0
% 174.18/27.41  | | 
% 174.18/27.41  | | COMBINE_EQS: (2), (10) imply:
% 174.18/27.41  | |   (11)  all_6_1 = e0
% 174.18/27.41  | | 
% 174.18/27.41  | | REDUCE: (9), (11) imply:
% 174.18/27.41  | |   (12)  $false
% 174.18/27.41  | | 
% 174.18/27.41  | | CLOSE: (12) is inconsistent.
% 174.18/27.41  | | 
% 174.18/27.41  | Case 2:
% 174.18/27.41  | | 
% 174.18/27.41  | |   (13)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.18/27.41  | | 
% 174.18/27.41  | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (13) are inconsistent by sub-proof
% 174.18/27.41  | |            #630.
% 174.18/27.41  | | 
% 174.18/27.41  | End of split
% 174.18/27.41  | 
% 174.18/27.41  End of proof
% 174.18/27.41  
% 174.18/27.41  Sub-proof #630 shows that the following formulas are inconsistent:
% 174.18/27.41  ----------------------------------------------------------------
% 174.18/27.41    (1)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.18/27.41    (2)  all_58_17 = e1
% 174.18/27.41    (3)   ~ (e2 = e1)
% 174.18/27.41    (4)   ~ (all_52_2 = e1)
% 174.18/27.41    (5)  all_58_18 = all_52_2
% 174.18/27.41    (6)  all_58_16 = e0
% 174.18/27.41    (7)   ~ (e3 = e0)
% 174.18/27.41  
% 174.18/27.41  Begin of proof
% 174.18/27.41  | 
% 174.18/27.41  | BETA: splitting (1) gives:
% 174.18/27.41  | 
% 174.18/27.41  | Case 1:
% 174.18/27.41  | | 
% 174.18/27.41  | |   (8)  all_58_18 = e1
% 174.18/27.41  | | 
% 174.18/27.41  | | COMBINE_EQS: (5), (8) imply:
% 174.18/27.41  | |   (9)  all_52_2 = e1
% 174.18/27.41  | | 
% 174.18/27.41  | | REDUCE: (4), (9) imply:
% 174.18/27.41  | |   (10)  $false
% 174.18/27.41  | | 
% 174.18/27.41  | | CLOSE: (10) is inconsistent.
% 174.18/27.41  | | 
% 174.18/27.41  | Case 2:
% 174.18/27.41  | | 
% 174.18/27.41  | |   (11)  all_58_16 = e3 | all_58_17 = e2
% 174.18/27.41  | | 
% 174.18/27.41  | | REF_CLOSE: (2), (3), (6), (7), (11) are inconsistent by sub-proof #635.
% 174.18/27.41  | | 
% 174.18/27.41  | End of split
% 174.18/27.41  | 
% 174.18/27.41  End of proof
% 174.18/27.41  
% 174.18/27.41  Sub-proof #631 shows that the following formulas are inconsistent:
% 174.18/27.41  ----------------------------------------------------------------
% 174.18/27.41    (1)  all_56_12 = all_6_1
% 174.18/27.41    (2)  all_56_12 = e0
% 174.18/27.41    (3)   ~ (all_6_1 = e0)
% 174.18/27.41  
% 174.18/27.41  Begin of proof
% 174.18/27.41  | 
% 174.18/27.41  | COMBINE_EQS: (1), (2) imply:
% 174.18/27.41  |   (4)  all_6_1 = e0
% 174.18/27.41  | 
% 174.18/27.41  | SIMP: (4) implies:
% 174.18/27.41  |   (5)  all_6_1 = e0
% 174.18/27.41  | 
% 174.18/27.41  | REDUCE: (3), (5) imply:
% 174.18/27.41  |   (6)  $false
% 174.18/27.41  | 
% 174.18/27.41  | CLOSE: (6) is inconsistent.
% 174.18/27.41  | 
% 174.18/27.41  End of proof
% 174.18/27.41  
% 174.18/27.41  Sub-proof #632 shows that the following formulas are inconsistent:
% 174.18/27.41  ----------------------------------------------------------------
% 174.18/27.41    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.18/27.41    (2)  op(e1, all_52_14) = all_58_11
% 174.18/27.41    (3)   ~ (all_52_4 = all_4_2)
% 174.18/27.41    (4)  all_56_8 = all_10_2
% 174.18/27.41    (5)  all_58_26 = all_10_2
% 174.18/27.41    (6)  all_58_25 = e0
% 174.18/27.41    (7)   ~ (all_52_4 = e0)
% 174.18/27.41    (8)  all_56_11 = all_52_14
% 174.18/27.41    (9)   ~ (all_4_1 = e0)
% 174.18/27.41    (10)  op(all_4_2, e2) = all_4_1
% 174.18/27.41    (11)  all_58_17 = all_52_1
% 174.18/27.41    (12)  all_58_22 = e0
% 174.18/27.41    (13)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.18/27.41    (14)  op(e1, e2) = e0
% 174.18/27.41    (15)   ~ (all_52_1 = all_4_2)
% 174.18/27.41    (16)  all_58_16 = e0
% 174.18/27.41    (17)   ~ (e3 = e0)
% 174.18/27.41    (18)   ~ (all_52_1 = all_52_2)
% 174.18/27.41    (19)  all_56_7 = e0
% 174.18/27.41    (20)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 174.18/27.41    (21)  all_58_20 = all_52_4
% 174.18/27.41    (22)  all_56_6 = all_52_2
% 174.18/27.41    (23)  all_58_24 = all_52_8
% 174.18/27.41    (24)   ~ (all_52_1 = e0)
% 174.18/27.41    (25)   ~ (all_52_4 = all_52_8)
% 174.18/27.41    (26)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.18/27.41            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.18/27.41    (27)  all_58_16 = e3 | all_58_17 = e2
% 174.18/27.41    (28)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 174.18/27.41    (29)  all_58_21 = all_4_2
% 174.18/27.41    (30)   ~ (e1 = e0)
% 174.18/27.41    (31)  all_54_5 = all_4_2
% 174.18/27.41  
% 174.18/27.41  Begin of proof
% 174.18/27.41  | 
% 174.18/27.41  | BETA: splitting (27) gives:
% 174.18/27.41  | 
% 174.18/27.41  | Case 1:
% 174.18/27.41  | | 
% 174.18/27.41  | |   (32)  all_58_17 = e2
% 174.18/27.41  | | 
% 174.18/27.41  | | COMBINE_EQS: (11), (32) imply:
% 174.18/27.41  | |   (33)  all_52_1 = e2
% 174.18/27.41  | | 
% 174.18/27.41  | | REDUCE: (18), (33) imply:
% 174.18/27.41  | |   (34)   ~ (all_52_2 = e2)
% 174.18/27.41  | | 
% 174.18/27.41  | | SIMP: (34) implies:
% 174.18/27.41  | |   (35)   ~ (all_52_2 = e2)
% 174.18/27.41  | | 
% 174.18/27.41  | | REDUCE: (15), (33) imply:
% 174.18/27.41  | |   (36)   ~ (all_4_2 = e2)
% 174.18/27.41  | | 
% 174.18/27.41  | | SIMP: (36) implies:
% 174.18/27.41  | |   (37)   ~ (all_4_2 = e2)
% 174.18/27.41  | | 
% 174.18/27.41  | | REDUCE: (24), (33) imply:
% 174.18/27.41  | |   (38)   ~ (e2 = e0)
% 174.18/27.41  | | 
% 174.18/27.41  | | BETA: splitting (1) gives:
% 174.18/27.41  | | 
% 174.18/27.41  | | Case 1:
% 174.18/27.41  | | | 
% 174.18/27.41  | | |   (39)  all_58_22 = e1
% 174.18/27.41  | | | 
% 174.18/27.41  | | | REF_CLOSE: (12), (30), (39) are inconsistent by sub-proof #923.
% 174.18/27.41  | | | 
% 174.18/27.41  | | Case 2:
% 174.18/27.41  | | | 
% 174.18/27.41  | | |   (40)  all_58_20 = e3 | all_58_21 = e2
% 174.18/27.41  | | | 
% 174.18/27.41  | | | BETA: splitting (40) gives:
% 174.18/27.41  | | | 
% 174.18/27.41  | | | Case 1:
% 174.18/27.41  | | | | 
% 174.18/27.41  | | | |   (41)  all_58_21 = e2
% 174.18/27.41  | | | | 
% 174.18/27.41  | | | | COMBINE_EQS: (29), (41) imply:
% 174.18/27.41  | | | |   (42)  all_4_2 = e2
% 174.18/27.41  | | | | 
% 174.18/27.41  | | | | REDUCE: (37), (42) imply:
% 174.18/27.41  | | | |   (43)  $false
% 174.18/27.41  | | | | 
% 174.18/27.41  | | | | CLOSE: (43) is inconsistent.
% 174.18/27.41  | | | | 
% 174.18/27.41  | | | Case 2:
% 174.18/27.41  | | | | 
% 174.18/27.41  | | | |   (44)  all_58_20 = e3
% 174.18/27.41  | | | |   (45)   ~ (all_58_21 = e2)
% 174.18/27.41  | | | | 
% 174.18/27.41  | | | | COMBINE_EQS: (21), (44) imply:
% 174.18/27.41  | | | |   (46)  all_52_4 = e3
% 174.18/27.41  | | | | 
% 174.18/27.41  | | | | REDUCE: (25), (46) imply:
% 174.18/27.41  | | | |   (47)   ~ (all_52_8 = e3)
% 174.18/27.41  | | | | 
% 174.18/27.41  | | | | SIMP: (47) implies:
% 174.18/27.41  | | | |   (48)   ~ (all_52_8 = e3)
% 174.18/27.41  | | | | 
% 174.18/27.41  | | | | REDUCE: (3), (46) imply:
% 174.18/27.41  | | | |   (49)   ~ (all_4_2 = e3)
% 174.18/27.41  | | | | 
% 174.18/27.41  | | | | SIMP: (49) implies:
% 174.18/27.41  | | | |   (50)   ~ (all_4_2 = e3)
% 174.18/27.41  | | | | 
% 174.18/27.41  | | | | BETA: splitting (13) gives:
% 174.18/27.41  | | | | 
% 174.18/27.41  | | | | Case 1:
% 174.18/27.41  | | | | | 
% 174.18/27.41  | | | | |   (51)  all_58_26 = e1
% 174.18/27.41  | | | | | 
% 174.18/27.41  | | | | | COMBINE_EQS: (5), (51) imply:
% 174.18/27.41  | | | | |   (52)  all_10_2 = e1
% 174.18/27.41  | | | | | 
% 174.18/27.41  | | | | | COMBINE_EQS: (4), (52) imply:
% 174.18/27.41  | | | | |   (53)  all_56_8 = e1
% 174.18/27.41  | | | | | 
% 174.18/27.41  | | | | | BETA: splitting (20) gives:
% 174.18/27.41  | | | | | 
% 174.18/27.41  | | | | | Case 1:
% 174.18/27.41  | | | | | | 
% 174.18/27.41  | | | | | |   (54)  all_56_6 = e2
% 174.18/27.41  | | | | | | 
% 174.18/27.41  | | | | | | COMBINE_EQS: (22), (54) imply:
% 174.18/27.41  | | | | | |   (55)  all_52_2 = e2
% 174.18/27.41  | | | | | | 
% 174.18/27.41  | | | | | | REDUCE: (35), (55) imply:
% 174.18/27.41  | | | | | |   (56)  $false
% 174.18/27.41  | | | | | | 
% 174.18/27.41  | | | | | | CLOSE: (56) is inconsistent.
% 174.18/27.41  | | | | | | 
% 174.18/27.41  | | | | | Case 2:
% 174.18/27.41  | | | | | | 
% 174.18/27.41  | | | | | |   (57)  all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 174.18/27.41  | | | | | | 
% 174.18/27.41  | | | | | | BETA: splitting (28) gives:
% 174.18/27.41  | | | | | | 
% 174.18/27.41  | | | | | | Case 1:
% 174.18/27.41  | | | | | | | 
% 174.18/27.41  | | | | | | |   (58)  all_54_5 = e1
% 174.18/27.41  | | | | | | | 
% 174.18/27.41  | | | | | | | COMBINE_EQS: (31), (58) imply:
% 174.18/27.41  | | | | | | |   (59)  all_4_2 = e1
% 174.18/27.41  | | | | | | | 
% 174.18/27.41  | | | | | | | SIMP: (59) implies:
% 174.18/27.41  | | | | | | |   (60)  all_4_2 = e1
% 174.18/27.41  | | | | | | | 
% 174.18/27.41  | | | | | | | REDUCE: (37), (60) imply:
% 174.18/27.41  | | | | | | |   (61)   ~ (e2 = e1)
% 174.18/27.41  | | | | | | | 
% 174.18/27.41  | | | | | | | SIMP: (61) implies:
% 174.18/27.41  | | | | | | |   (62)   ~ (e2 = e1)
% 174.18/27.41  | | | | | | | 
% 174.18/27.41  | | | | | | | REDUCE: (10), (60) imply:
% 174.18/27.41  | | | | | | |   (63)  op(e1, e2) = all_4_1
% 174.18/27.41  | | | | | | | 
% 174.18/27.41  | | | | | | | BETA: splitting (57) gives:
% 174.18/27.41  | | | | | | | 
% 174.18/27.41  | | | | | | | Case 1:
% 174.18/27.41  | | | | | | | | 
% 174.18/27.41  | | | | | | | |   (64)  all_56_7 = e2
% 174.18/27.41  | | | | | | | | 
% 174.18/27.41  | | | | | | | | REF_CLOSE: (19), (38), (64) are inconsistent by sub-proof #636.
% 174.18/27.41  | | | | | | | | 
% 174.18/27.41  | | | | | | | Case 2:
% 174.18/27.41  | | | | | | | | 
% 174.18/27.41  | | | | | | | |   (65)  all_56_8 = e2 | all_56_11 = e2
% 174.18/27.41  | | | | | | | | 
% 174.18/27.41  | | | | | | | | BETA: splitting (65) gives:
% 174.18/27.41  | | | | | | | | 
% 174.18/27.41  | | | | | | | | Case 1:
% 174.18/27.41  | | | | | | | | | 
% 174.18/27.41  | | | | | | | | |   (66)  all_56_8 = e2
% 174.18/27.41  | | | | | | | | | 
% 174.18/27.41  | | | | | | | | | COMBINE_EQS: (53), (66) imply:
% 174.18/27.41  | | | | | | | | |   (67)  e2 = e1
% 174.18/27.41  | | | | | | | | | 
% 174.18/27.41  | | | | | | | | | REF_CLOSE: (16), (17), (27), (32), (62), (67) are inconsistent
% 174.18/27.41  | | | | | | | | |            by sub-proof #634.
% 174.18/27.41  | | | | | | | | | 
% 174.18/27.41  | | | | | | | | Case 2:
% 174.18/27.41  | | | | | | | | | 
% 174.18/27.41  | | | | | | | | |   (68)  all_56_11 = e2
% 174.18/27.41  | | | | | | | | | 
% 174.18/27.41  | | | | | | | | | COMBINE_EQS: (8), (68) imply:
% 174.18/27.41  | | | | | | | | |   (69)  all_52_14 = e2
% 174.18/27.41  | | | | | | | | | 
% 174.18/27.41  | | | | | | | | | REDUCE: (2), (69) imply:
% 174.18/27.41  | | | | | | | | |   (70)  op(e1, e2) = all_58_11
% 174.18/27.41  | | | | | | | | | 
% 174.18/27.41  | | | | | | | | | REF_CLOSE: (9), (14), (26), (63), (70) are inconsistent by
% 174.18/27.41  | | | | | | | | |            sub-proof #928.
% 174.18/27.41  | | | | | | | | | 
% 174.18/27.41  | | | | | | | | End of split
% 174.18/27.41  | | | | | | | | 
% 174.18/27.41  | | | | | | | End of split
% 174.18/27.41  | | | | | | | 
% 174.18/27.41  | | | | | | Case 2:
% 174.18/27.41  | | | | | | | 
% 174.18/27.41  | | | | | | |   (71)  all_54_5 = e3 | all_54_5 = e2
% 174.18/27.41  | | | | | | | 
% 174.18/27.41  | | | | | | | REF_CLOSE: (31), (37), (50), (71) are inconsistent by sub-proof
% 174.18/27.41  | | | | | | |            #959.
% 174.18/27.41  | | | | | | | 
% 174.18/27.41  | | | | | | End of split
% 174.18/27.41  | | | | | | 
% 174.18/27.41  | | | | | End of split
% 174.18/27.41  | | | | | 
% 174.18/27.41  | | | | Case 2:
% 174.18/27.41  | | | | | 
% 174.18/27.41  | | | | |   (72)  all_58_24 = e3 | all_58_25 = e2
% 174.18/27.41  | | | | | 
% 174.18/27.41  | | | | | REF_CLOSE: (6), (23), (38), (48), (72) are inconsistent by sub-proof
% 174.18/27.41  | | | | |            #849.
% 174.18/27.41  | | | | | 
% 174.18/27.41  | | | | End of split
% 174.18/27.41  | | | | 
% 174.18/27.41  | | | End of split
% 174.18/27.41  | | | 
% 174.18/27.41  | | End of split
% 174.18/27.41  | | 
% 174.18/27.41  | Case 2:
% 174.18/27.41  | | 
% 174.18/27.41  | |   (73)  all_58_16 = e3
% 174.18/27.41  | | 
% 174.18/27.41  | | REF_CLOSE: (16), (17), (73) are inconsistent by sub-proof #633.
% 174.18/27.41  | | 
% 174.18/27.41  | End of split
% 174.18/27.41  | 
% 174.18/27.41  End of proof
% 174.18/27.41  
% 174.18/27.41  Sub-proof #633 shows that the following formulas are inconsistent:
% 174.18/27.41  ----------------------------------------------------------------
% 174.18/27.41    (1)  all_58_16 = e3
% 174.18/27.41    (2)  all_58_16 = e0
% 174.18/27.41    (3)   ~ (e3 = e0)
% 174.18/27.41  
% 174.18/27.41  Begin of proof
% 174.18/27.41  | 
% 174.18/27.41  | COMBINE_EQS: (1), (2) imply:
% 174.18/27.41  |   (4)  e3 = e0
% 174.18/27.41  | 
% 174.18/27.41  | SIMP: (4) implies:
% 174.18/27.41  |   (5)  e3 = e0
% 174.18/27.41  | 
% 174.18/27.41  | REDUCE: (3), (5) imply:
% 174.18/27.41  |   (6)  $false
% 174.18/27.41  | 
% 174.18/27.41  | CLOSE: (6) is inconsistent.
% 174.18/27.41  | 
% 174.18/27.41  End of proof
% 174.18/27.41  
% 174.18/27.41  Sub-proof #634 shows that the following formulas are inconsistent:
% 174.18/27.41  ----------------------------------------------------------------
% 174.18/27.41    (1)   ~ (e2 = e1)
% 174.18/27.41    (2)  e2 = e1
% 174.18/27.41    (3)  all_58_16 = e0
% 174.18/27.41    (4)   ~ (e3 = e0)
% 174.18/27.41    (5)  all_58_17 = e2
% 174.18/27.41    (6)  all_58_16 = e3 | all_58_17 = e2
% 174.18/27.41  
% 174.18/27.41  Begin of proof
% 174.18/27.41  | 
% 174.18/27.41  | SIMP: (2) implies:
% 174.18/27.41  |   (7)  e2 = e1
% 174.18/27.41  | 
% 174.18/27.41  | COMBINE_EQS: (5), (7) imply:
% 174.18/27.41  |   (8)  all_58_17 = e1
% 174.18/27.41  | 
% 174.18/27.41  | REF_CLOSE: (1), (3), (4), (6), (8) are inconsistent by sub-proof #635.
% 174.18/27.41  | 
% 174.18/27.41  End of proof
% 174.18/27.41  
% 174.18/27.41  Sub-proof #635 shows that the following formulas are inconsistent:
% 174.18/27.41  ----------------------------------------------------------------
% 174.18/27.41    (1)  all_58_17 = e1
% 174.18/27.41    (2)   ~ (e2 = e1)
% 174.18/27.41    (3)  all_58_16 = e0
% 174.18/27.41    (4)   ~ (e3 = e0)
% 174.18/27.41    (5)  all_58_16 = e3 | all_58_17 = e2
% 174.18/27.41  
% 174.18/27.41  Begin of proof
% 174.18/27.41  | 
% 174.18/27.41  | BETA: splitting (5) gives:
% 174.18/27.41  | 
% 174.18/27.41  | Case 1:
% 174.18/27.41  | | 
% 174.18/27.41  | |   (6)  all_58_17 = e2
% 174.18/27.41  | | 
% 174.18/27.41  | | COMBINE_EQS: (1), (6) imply:
% 174.18/27.41  | |   (7)  e2 = e1
% 174.18/27.41  | | 
% 174.18/27.41  | | REDUCE: (2), (7) imply:
% 174.18/27.41  | |   (8)  $false
% 174.18/27.41  | | 
% 174.18/27.41  | | CLOSE: (8) is inconsistent.
% 174.18/27.41  | | 
% 174.18/27.41  | Case 2:
% 174.18/27.41  | | 
% 174.18/27.41  | |   (9)  all_58_16 = e3
% 174.18/27.41  | | 
% 174.18/27.41  | | COMBINE_EQS: (3), (9) imply:
% 174.18/27.41  | |   (10)  e3 = e0
% 174.18/27.41  | | 
% 174.18/27.41  | | REDUCE: (4), (10) imply:
% 174.18/27.41  | |   (11)  $false
% 174.18/27.41  | | 
% 174.18/27.41  | | CLOSE: (11) is inconsistent.
% 174.18/27.41  | | 
% 174.18/27.41  | End of split
% 174.18/27.41  | 
% 174.18/27.41  End of proof
% 174.18/27.41  
% 174.18/27.41  Sub-proof #636 shows that the following formulas are inconsistent:
% 174.18/27.41  ----------------------------------------------------------------
% 174.18/27.41    (1)  all_56_7 = e2
% 174.18/27.41    (2)  all_56_7 = e0
% 174.18/27.41    (3)   ~ (e2 = e0)
% 174.18/27.41  
% 174.18/27.41  Begin of proof
% 174.18/27.41  | 
% 174.18/27.41  | COMBINE_EQS: (1), (2) imply:
% 174.18/27.41  |   (4)  e2 = e0
% 174.18/27.41  | 
% 174.18/27.41  | SIMP: (4) implies:
% 174.18/27.41  |   (5)  e2 = e0
% 174.18/27.41  | 
% 174.18/27.41  | REDUCE: (3), (5) imply:
% 174.18/27.41  |   (6)  $false
% 174.18/27.41  | 
% 174.18/27.41  | CLOSE: (6) is inconsistent.
% 174.18/27.41  | 
% 174.18/27.41  End of proof
% 174.18/27.41  
% 174.18/27.41  Sub-proof #637 shows that the following formulas are inconsistent:
% 174.18/27.41  ----------------------------------------------------------------
% 174.18/27.41    (1)  all_54_10 = all_10_2
% 174.18/27.41    (2)  all_54_10 = e3
% 174.18/27.41    (3)   ~ (all_10_2 = e3)
% 174.18/27.41  
% 174.18/27.41  Begin of proof
% 174.18/27.41  | 
% 174.18/27.41  | COMBINE_EQS: (1), (2) imply:
% 174.18/27.41  |   (4)  all_10_2 = e3
% 174.18/27.41  | 
% 174.18/27.41  | SIMP: (4) implies:
% 174.18/27.41  |   (5)  all_10_2 = e3
% 174.18/27.41  | 
% 174.18/27.41  | REDUCE: (3), (5) imply:
% 174.18/27.41  |   (6)  $false
% 174.18/27.41  | 
% 174.18/27.41  | CLOSE: (6) is inconsistent.
% 174.18/27.41  | 
% 174.18/27.41  End of proof
% 174.18/27.41  
% 174.18/27.41  Sub-proof #638 shows that the following formulas are inconsistent:
% 174.18/27.41  ----------------------------------------------------------------
% 174.18/27.41    (1)   ~ (all_52_1 = all_6_1)
% 174.18/27.41    (2)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 174.18/27.41    (3)   ~ (all_6_1 = e1)
% 174.18/27.41    (4)  all_56_2 = all_52_1
% 174.18/27.41    (5)   ~ (all_52_1 = e1)
% 174.18/27.41    (6)  all_54_12 = all_6_1
% 174.18/27.41    (7)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 174.18/27.41    (8)   ~ (all_52_1 = e2)
% 174.18/27.41    (9)  all_54_4 = all_52_1
% 174.18/27.41    (10)   ~ (all_6_1 = e2)
% 174.18/27.41    (11)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.18/27.41  
% 174.18/27.41  Begin of proof
% 174.18/27.41  | 
% 174.18/27.41  | BETA: splitting (2) gives:
% 174.18/27.41  | 
% 174.18/27.41  | Case 1:
% 174.18/27.41  | | 
% 174.18/27.41  | |   (12)  all_54_4 = e1
% 174.18/27.41  | | 
% 174.18/27.41  | | REF_CLOSE: (5), (9), (12) are inconsistent by sub-proof #872.
% 174.18/27.41  | | 
% 174.18/27.41  | Case 2:
% 174.18/27.41  | | 
% 174.18/27.41  | |   (13)  all_54_4 = e3 | all_54_4 = e2
% 174.18/27.41  | | 
% 174.18/27.41  | | BETA: splitting (7) gives:
% 174.18/27.41  | | 
% 174.18/27.41  | | Case 1:
% 174.18/27.41  | | | 
% 174.18/27.41  | | |   (14)  all_54_12 = e1
% 174.18/27.41  | | | 
% 174.18/27.41  | | | REF_CLOSE: (3), (6), (14) are inconsistent by sub-proof #641.
% 174.18/27.41  | | | 
% 174.18/27.41  | | Case 2:
% 174.18/27.41  | | | 
% 174.18/27.41  | | |   (15)  all_54_12 = e3 | all_54_12 = e2
% 174.18/27.41  | | | 
% 174.18/27.41  | | | BETA: splitting (11) gives:
% 174.18/27.41  | | | 
% 174.18/27.41  | | | Case 1:
% 174.18/27.41  | | | | 
% 174.18/27.41  | | | |   (16)  all_56_2 = e3
% 174.18/27.41  | | | | 
% 174.18/27.41  | | | | COMBINE_EQS: (4), (16) imply:
% 174.18/27.41  | | | |   (17)  all_52_1 = e3
% 174.18/27.41  | | | | 
% 174.18/27.41  | | | | SIMP: (17) implies:
% 174.18/27.41  | | | |   (18)  all_52_1 = e3
% 174.18/27.41  | | | | 
% 174.18/27.41  | | | | REDUCE: (1), (18) imply:
% 174.18/27.41  | | | |   (19)   ~ (all_6_1 = e3)
% 174.18/27.41  | | | | 
% 174.18/27.41  | | | | SIMP: (19) implies:
% 174.18/27.41  | | | |   (20)   ~ (all_6_1 = e3)
% 174.18/27.41  | | | | 
% 174.18/27.41  | | | | BETA: splitting (15) gives:
% 174.18/27.41  | | | | 
% 174.18/27.41  | | | | Case 1:
% 174.18/27.41  | | | | | 
% 174.18/27.41  | | | | |   (21)  all_54_12 = e2
% 174.18/27.41  | | | | | 
% 174.18/27.41  | | | | | REF_CLOSE: (6), (10), (21) are inconsistent by sub-proof #640.
% 174.18/27.41  | | | | | 
% 174.18/27.41  | | | | Case 2:
% 174.18/27.41  | | | | | 
% 174.18/27.41  | | | | |   (22)  all_54_12 = e3
% 174.18/27.41  | | | | | 
% 174.18/27.41  | | | | | REF_CLOSE: (6), (20), (22) are inconsistent by sub-proof #639.
% 174.18/27.41  | | | | | 
% 174.18/27.41  | | | | End of split
% 174.18/27.41  | | | | 
% 174.18/27.41  | | | Case 2:
% 174.18/27.41  | | | | 
% 174.18/27.41  | | | |   (23)   ~ (all_56_2 = e3)
% 174.18/27.41  | | | | 
% 174.18/27.41  | | | | REDUCE: (4), (23) imply:
% 174.18/27.41  | | | |   (24)   ~ (all_52_1 = e3)
% 174.18/27.41  | | | | 
% 174.18/27.41  | | | | BETA: splitting (13) gives:
% 174.18/27.41  | | | | 
% 174.18/27.41  | | | | Case 1:
% 174.18/27.41  | | | | | 
% 174.18/27.41  | | | | |   (25)  all_54_4 = e2
% 174.18/27.41  | | | | | 
% 174.18/27.41  | | | | | REF_CLOSE: (8), (9), (25) are inconsistent by sub-proof #882.
% 174.18/27.41  | | | | | 
% 174.18/27.41  | | | | Case 2:
% 174.18/27.41  | | | | | 
% 174.18/27.41  | | | | |   (26)  all_54_4 = e3
% 174.18/27.41  | | | | | 
% 174.18/27.41  | | | | | REF_CLOSE: (9), (24), (26) are inconsistent by sub-proof #881.
% 174.18/27.41  | | | | | 
% 174.18/27.41  | | | | End of split
% 174.18/27.41  | | | | 
% 174.18/27.41  | | | End of split
% 174.18/27.41  | | | 
% 174.18/27.41  | | End of split
% 174.18/27.41  | | 
% 174.18/27.41  | End of split
% 174.18/27.41  | 
% 174.18/27.41  End of proof
% 174.18/27.41  
% 174.18/27.41  Sub-proof #639 shows that the following formulas are inconsistent:
% 174.18/27.41  ----------------------------------------------------------------
% 174.18/27.41    (1)  all_54_12 = all_6_1
% 174.18/27.41    (2)  all_54_12 = e3
% 174.18/27.41    (3)   ~ (all_6_1 = e3)
% 174.18/27.41  
% 174.18/27.41  Begin of proof
% 174.18/27.41  | 
% 174.18/27.41  | COMBINE_EQS: (1), (2) imply:
% 174.18/27.41  |   (4)  all_6_1 = e3
% 174.18/27.41  | 
% 174.18/27.41  | SIMP: (4) implies:
% 174.18/27.41  |   (5)  all_6_1 = e3
% 174.18/27.41  | 
% 174.18/27.41  | REDUCE: (3), (5) imply:
% 174.18/27.41  |   (6)  $false
% 174.18/27.41  | 
% 174.18/27.41  | CLOSE: (6) is inconsistent.
% 174.18/27.41  | 
% 174.18/27.41  End of proof
% 174.18/27.41  
% 174.18/27.41  Sub-proof #640 shows that the following formulas are inconsistent:
% 174.18/27.41  ----------------------------------------------------------------
% 174.18/27.41    (1)  all_54_12 = all_6_1
% 174.18/27.41    (2)  all_54_12 = e2
% 174.18/27.41    (3)   ~ (all_6_1 = e2)
% 174.18/27.41  
% 174.18/27.41  Begin of proof
% 174.18/27.41  | 
% 174.18/27.41  | COMBINE_EQS: (1), (2) imply:
% 174.18/27.41  |   (4)  all_6_1 = e2
% 174.18/27.41  | 
% 174.18/27.41  | SIMP: (4) implies:
% 174.18/27.41  |   (5)  all_6_1 = e2
% 174.18/27.41  | 
% 174.18/27.41  | REDUCE: (3), (5) imply:
% 174.18/27.41  |   (6)  $false
% 174.18/27.41  | 
% 174.18/27.41  | CLOSE: (6) is inconsistent.
% 174.18/27.41  | 
% 174.18/27.41  End of proof
% 174.18/27.41  
% 174.18/27.41  Sub-proof #641 shows that the following formulas are inconsistent:
% 174.18/27.41  ----------------------------------------------------------------
% 174.18/27.41    (1)  all_54_12 = all_6_1
% 174.18/27.41    (2)  all_54_12 = e1
% 174.18/27.41    (3)   ~ (all_6_1 = e1)
% 174.18/27.41  
% 174.18/27.41  Begin of proof
% 174.18/27.41  | 
% 174.18/27.41  | COMBINE_EQS: (1), (2) imply:
% 174.18/27.41  |   (4)  all_6_1 = e1
% 174.18/27.41  | 
% 174.18/27.41  | SIMP: (4) implies:
% 174.18/27.41  |   (5)  all_6_1 = e1
% 174.18/27.41  | 
% 174.18/27.41  | REDUCE: (3), (5) imply:
% 174.18/27.41  |   (6)  $false
% 174.18/27.41  | 
% 174.18/27.41  | CLOSE: (6) is inconsistent.
% 174.18/27.41  | 
% 174.18/27.41  End of proof
% 174.18/27.41  
% 174.18/27.41  Sub-proof #642 shows that the following formulas are inconsistent:
% 174.18/27.41  ----------------------------------------------------------------
% 174.18/27.41    (1)  all_56_7 = e3
% 174.18/27.41    (2)  all_56_7 = e0
% 174.18/27.41    (3)   ~ (e3 = e0)
% 174.18/27.41  
% 174.18/27.41  Begin of proof
% 174.18/27.41  | 
% 174.18/27.41  | COMBINE_EQS: (1), (2) imply:
% 174.18/27.41  |   (4)  e3 = e0
% 174.18/27.41  | 
% 174.18/27.41  | SIMP: (4) implies:
% 174.18/27.41  |   (5)  e3 = e0
% 174.18/27.41  | 
% 174.18/27.41  | REDUCE: (3), (5) imply:
% 174.18/27.41  |   (6)  $false
% 174.18/27.41  | 
% 174.18/27.41  | CLOSE: (6) is inconsistent.
% 174.18/27.41  | 
% 174.18/27.41  End of proof
% 174.18/27.41  
% 174.18/27.41  Sub-proof #643 shows that the following formulas are inconsistent:
% 174.18/27.41  ----------------------------------------------------------------
% 174.18/27.41    (1)   ~ (e3 = e1)
% 174.18/27.41    (2)  all_58_24 = e3
% 174.18/27.41    (3)  all_58_25 = e0
% 174.18/27.41    (4)  all_58_24 = e3 | all_58_25 = e2
% 174.18/27.41    (5)  e3 = e1
% 174.18/27.41    (6)   ~ (e2 = e0)
% 174.18/27.41  
% 174.18/27.41  Begin of proof
% 174.18/27.41  | 
% 174.18/27.41  | SIMP: (5) implies:
% 174.18/27.41  |   (7)  e3 = e1
% 174.18/27.41  | 
% 174.18/27.41  | COMBINE_EQS: (2), (7) imply:
% 174.18/27.41  |   (8)  all_58_24 = e1
% 174.18/27.41  | 
% 174.18/27.41  | REF_CLOSE: (1), (3), (4), (6), (8) are inconsistent by sub-proof #967.
% 174.18/27.41  | 
% 174.18/27.41  End of proof
% 174.18/27.41  
% 174.18/27.41  Sub-proof #644 shows that the following formulas are inconsistent:
% 174.18/27.41  ----------------------------------------------------------------
% 174.18/27.41    (1)  all_54_12 = all_6_1
% 174.18/27.41    (2)  all_54_12 = e0
% 174.18/27.41    (3)   ~ (all_6_1 = e0)
% 174.18/27.41  
% 174.18/27.41  Begin of proof
% 174.18/27.41  | 
% 174.18/27.41  | COMBINE_EQS: (1), (2) imply:
% 174.18/27.41  |   (4)  all_6_1 = e0
% 174.18/27.41  | 
% 174.18/27.41  | SIMP: (4) implies:
% 174.18/27.41  |   (5)  all_6_1 = e0
% 174.18/27.41  | 
% 174.18/27.41  | REDUCE: (3), (5) imply:
% 174.18/27.41  |   (6)  $false
% 174.18/27.41  | 
% 174.18/27.41  | CLOSE: (6) is inconsistent.
% 174.18/27.41  | 
% 174.18/27.41  End of proof
% 174.18/27.41  
% 174.18/27.41  Sub-proof #645 shows that the following formulas are inconsistent:
% 174.18/27.41  ----------------------------------------------------------------
% 174.18/27.41    (1)   ~ (all_52_12 = all_14_2)
% 174.18/27.41    (2)  all_54_8 = all_52_2
% 174.18/27.41    (3)  all_56_1 = all_52_4
% 174.18/27.41    (4)   ~ (all_6_0 = e0)
% 174.18/27.41    (5)  all_56_12 = all_52_3
% 174.18/27.41    (6)  all_56_15 = e0 | ((all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 174.18/27.41           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0))
% 174.18/27.41    (7)  op(e1, e3) = all_52_2
% 174.18/27.41    (8)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 174.18/27.41    (9)   ~ (all_10_2 = e0)
% 174.18/27.41    (10)   ~ (all_52_8 = all_52_12)
% 174.18/27.41    (11)   ~ (e3 = e1)
% 174.18/27.41    (12)  all_58_23 = all_52_7
% 174.18/27.41    (13)   ~ (all_52_2 = all_6_2)
% 174.18/27.41    (14)   ~ (all_52_3 = all_14_2)
% 174.18/27.41    (15)   ~ (all_52_4 = all_4_2)
% 174.18/27.41    (16)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.18/27.41    (17)  all_50_0 = all_14_0
% 174.18/27.41    (18)  all_54_3 = all_52_12
% 174.18/27.41    (19)   ~ (all_50_0 = e2) |  ~ (all_50_1 = e3) |  ~ (all_50_2 = e1)
% 174.18/27.41    (20)  all_56_5 = all_52_9
% 174.18/27.41    (21)   ~ (all_52_3 = all_52_11)
% 174.18/27.41    (22)  op(all_6_2, e3) = all_6_1
% 174.18/27.41    (23)   ~ (all_52_12 = all_6_2)
% 174.18/27.41    (24)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 174.18/27.41    (25)   ~ (all_52_6 = all_4_2)
% 174.18/27.41    (26)  op(e1, e0) = all_52_14
% 174.18/27.41    (27)  all_56_15 = all_14_2
% 174.18/27.41    (28)   ~ (all_52_11 = all_14_2)
% 174.18/27.41    (29)  op(e3, all_52_4) = all_58_1
% 174.18/27.41    (30)  all_54_1 = all_52_4
% 174.18/27.41    (31)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 174.18/27.41    (32)   ~ (all_52_9 = all_4_2)
% 174.18/27.41    (33)   ~ (all_52_3 = all_52_7)
% 174.18/27.41    (34)  all_54_6 = all_52_9
% 174.18/27.41    (35)  all_56_14 = all_52_11
% 174.18/27.41    (36)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 174.18/27.41    (37)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 174.18/27.41    (38)   ~ (all_52_13 = all_4_2)
% 174.18/27.41    (39)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 174.18/27.41    (40)  all_48_2 = all_14_2
% 174.18/27.41    (41)  all_56_8 = all_10_2
% 174.18/27.41    (42)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.18/27.41    (43)  all_58_26 = all_10_2
% 174.18/27.41    (44)   ~ (all_52_4 = all_52_6)
% 174.18/27.41    (45)  all_58_31 = all_14_2
% 174.18/27.41    (46)   ~ (all_52_11 = all_10_2)
% 174.18/27.41    (47)   ~ (all_52_9 = all_52_13)
% 174.18/27.41    (48)   ~ (all_52_3 = all_6_2)
% 174.18/27.41    (49)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 174.18/27.41    (50)  op(all_6_1, all_6_2) = all_6_0
% 174.18/27.41    (51)   ~ (all_52_1 = all_6_2)
% 174.18/27.41    (52)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 174.18/27.41    (53)  all_54_2 = all_52_8
% 174.18/27.41    (54)  all_56_11 = all_52_14
% 174.18/27.41    (55)  op(e2, e1) = all_52_9
% 174.18/27.41    (56)   ~ (all_52_6 = all_52_7)
% 174.18/27.41    (57)  all_48_2 = e1
% 174.18/27.41    (58)   ~ (all_4_1 = e0)
% 174.18/27.41    (59)  all_56_0 = all_6_2
% 174.18/27.41    (60)   ~ (all_52_9 = all_10_2)
% 174.18/27.41    (61)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.18/27.41    (62)  all_58_30 = all_52_14
% 174.18/27.41    (63)  all_58_27 = all_52_11
% 174.18/27.41    (64)  all_54_14 = all_52_11
% 174.18/27.41    (65)  op(e3, e2) = all_52_4
% 174.18/27.41    (66)  op(all_4_2, e2) = all_4_1
% 174.18/27.41    (67)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 174.18/27.41    (68)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 174.18/27.41    (69)  all_58_17 = all_52_1
% 174.18/27.41    (70)  op(e3, e1) = all_52_8
% 174.18/27.41    (71)  all_50_2 = all_14_2
% 174.18/27.41    (72)  all_58_19 = all_52_3
% 174.18/27.41    (73)  all_56_9 = all_52_12
% 174.18/27.41    (74)   ~ (all_52_2 = all_52_6)
% 174.18/27.41    (75)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 174.18/27.41    (76)   ~ (e3 = e2)
% 174.18/27.41    (77)   ~ (all_52_4 = all_52_7)
% 174.18/27.41    (78)   ~ (e2 = e1)
% 174.18/27.41    (79)   ~ (all_52_6 = all_10_2)
% 174.18/27.41    (80)  op(e0, e1) = all_52_11
% 174.18/27.41    (81)   ~ (all_52_7 = all_14_2)
% 174.18/27.41    (82)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.18/27.41    (83)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 174.18/27.41    (84)   ~ (all_52_13 = all_14_2)
% 174.18/27.41    (85)   ~ (all_52_1 = all_4_2)
% 174.18/27.41    (86)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.18/27.41    (87)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 174.18/27.41    (88)  all_54_9 = all_52_6
% 174.18/27.41    (89)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.18/27.41    (90)   ~ (all_52_13 = all_52_14)
% 174.18/27.41    (91)  op(e2, e3) = all_52_1
% 174.18/27.41    (92)  all_58_18 = all_52_2
% 174.18/27.41    (93)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.18/27.41    (94)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 174.18/27.41    (95)  all_58_16 = all_6_2
% 174.18/27.41    (96)  all_56_13 = all_52_7
% 174.18/27.41    (97)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 174.18/27.41    (98)   ~ (all_52_8 = all_52_9)
% 174.18/27.41    (99)   ~ (all_52_4 = all_6_2)
% 174.18/27.41    (100)  all_50_1 = all_14_1
% 174.18/27.41    (101)  all_56_2 = all_52_1
% 174.18/27.41    (102)   ~ (e3 = e0)
% 174.18/27.41    (103)  all_58_29 = all_52_13
% 174.18/27.41    (104)   ~ (all_52_1 = all_52_2)
% 174.18/27.41    (105)   ~ (all_4_2 = e0)
% 174.18/27.41    (106)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 174.18/27.41    (107)   ~ (all_6_2 = e0)
% 174.18/27.41    (108)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 174.18/27.41    (109)   ~ (all_52_6 = all_52_14)
% 174.18/27.41    (110)   ~ (all_52_7 = all_4_2)
% 174.18/27.41    (111)   ~ (all_52_8 = all_10_2)
% 174.18/27.41    (112)  all_56_4 = all_52_8
% 174.18/27.41    (113)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 174.18/27.41    (114)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 174.18/27.41    (115)  op(all_14_1, all_14_2) = all_14_0
% 174.18/27.41    (116)   ~ (all_52_1 = all_52_13)
% 174.18/27.41    (117)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 174.18/27.41    (118)  all_58_20 = all_52_4
% 174.18/27.41    (119)  all_54_13 = all_52_7
% 174.18/27.41    (120)   ~ (all_52_7 = all_52_11)
% 174.18/27.41    (121)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 174.18/27.41    (122)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 174.18/27.41    (123)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 174.18/27.41    (124)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.18/27.41    (125)   ~ (all_52_8 = all_52_11)
% 174.18/27.41    (126)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 174.18/27.41    (127)   ~ (all_52_8 = all_6_2)
% 174.18/27.41    (128)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 174.18/27.42    (129)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 174.18/27.42    (130)  all_56_6 = all_52_2
% 174.18/27.42    (131)   ~ (all_52_1 = all_52_9)
% 174.18/27.42    (132)  all_58_24 = all_52_8
% 174.18/27.42    (133)   ~ (all_52_12 = all_52_14)
% 174.18/27.42    (134)   ~ (all_52_9 = all_52_11)
% 174.18/27.42    (135)  all_58_22 = all_52_6
% 174.18/27.42    (136)  op(all_14_2, e0) = all_14_1
% 174.18/27.42    (137)   ~ (all_52_4 = all_52_12)
% 174.18/27.42    (138)  all_56_3 = all_4_2
% 174.18/27.42    (139)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 174.18/27.42    (140)  all_54_0 = all_6_2
% 174.18/27.42    (141)   ~ (all_52_14 = all_10_2)
% 174.18/27.42    (142)   ~ (all_52_2 = all_52_3)
% 174.18/27.42    (143)   ~ (all_52_4 = all_52_8)
% 174.18/27.42    (144)   ~ (all_52_14 = all_14_2)
% 174.18/27.42    (145)  all_58_25 = all_52_9
% 174.18/27.42    (146)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 174.18/27.42    (147)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.18/27.42             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.18/27.42    (148)   ~ (all_6_1 = e0)
% 174.18/27.42    (149)  all_54_12 = all_52_3
% 174.18/27.42    (150)   ~ (all_52_2 = all_52_14)
% 174.18/27.42    (151)  op(e0, all_14_2) = all_58_15
% 174.18/27.42    (152)  all_58_21 = all_4_2
% 174.18/27.42    (153)  all_56_10 = all_52_13
% 174.18/27.42    (154)  op(e2, all_52_9) = all_58_6
% 174.18/27.42    (155)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 174.18/27.42    (156)   ~ (e2 = e0)
% 174.18/27.42    (157)   ~ (all_52_1 = all_52_3)
% 174.18/27.42    (158)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 174.18/27.42    (159)  all_58_28 = all_52_12
% 174.18/27.42    (160)  op(e1, all_52_6) = all_58_9
% 174.18/27.42    (161)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 174.18/27.42    (162)   ~ (e1 = e0)
% 174.18/27.42    (163)  all_54_4 = all_52_1
% 174.18/27.42    (164)  all_56_7 = all_52_6
% 174.18/27.42    (165)  all_54_5 = all_4_2
% 174.18/27.42    (166)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 174.18/27.42    (167)  all_54_7 = all_52_13
% 174.18/27.42    (168)   ~ (all_52_2 = all_10_2)
% 174.18/27.42    (169)  op(e1, e2) = all_52_6
% 174.18/27.42    (170)  all_54_11 = all_52_14
% 174.18/27.42    (171)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.18/27.42    (172)   ~ (all_52_12 = all_52_13)
% 174.18/27.42  
% 174.18/27.42  Begin of proof
% 174.18/27.42  | 
% 174.18/27.42  | COMBINE_EQS: (40), (57) imply:
% 174.18/27.42  |   (173)  all_14_2 = e1
% 174.18/27.42  | 
% 174.18/27.42  | SIMP: (173) implies:
% 174.18/27.42  |   (174)  all_14_2 = e1
% 174.18/27.42  | 
% 174.18/27.42  | COMBINE_EQS: (71), (174) imply:
% 174.18/27.42  |   (175)  all_50_2 = e1
% 174.18/27.42  | 
% 174.18/27.42  | COMBINE_EQS: (27), (174) imply:
% 174.18/27.42  |   (176)  all_56_15 = e1
% 174.18/27.42  | 
% 174.18/27.42  | COMBINE_EQS: (45), (174) imply:
% 174.18/27.42  |   (177)  all_58_31 = e1
% 174.18/27.42  | 
% 174.18/27.42  | REDUCE: (14), (174) imply:
% 174.18/27.42  |   (178)   ~ (all_52_3 = e1)
% 174.18/27.42  | 
% 174.18/27.42  | REDUCE: (81), (174) imply:
% 174.18/27.42  |   (179)   ~ (all_52_7 = e1)
% 174.18/27.42  | 
% 174.18/27.42  | REDUCE: (28), (174) imply:
% 174.18/27.42  |   (180)   ~ (all_52_11 = e1)
% 174.18/27.42  | 
% 174.18/27.42  | REDUCE: (1), (174) imply:
% 174.18/27.42  |   (181)   ~ (all_52_12 = e1)
% 174.18/27.42  | 
% 174.18/27.42  | REDUCE: (84), (174) imply:
% 174.18/27.42  |   (182)   ~ (all_52_13 = e1)
% 174.18/27.42  | 
% 174.18/27.42  | REDUCE: (144), (174) imply:
% 174.18/27.42  |   (183)   ~ (all_52_14 = e1)
% 174.18/27.42  | 
% 174.18/27.42  | REDUCE: (115), (174) imply:
% 174.18/27.42  |   (184)  op(all_14_1, e1) = all_14_0
% 174.18/27.42  | 
% 174.18/27.42  | REDUCE: (136), (174) imply:
% 174.18/27.42  |   (185)  op(e1, e0) = all_14_1
% 174.18/27.42  | 
% 174.18/27.42  | REDUCE: (151), (174) imply:
% 174.18/27.42  |   (186)  op(e0, e1) = all_58_15
% 174.18/27.42  | 
% 174.18/27.42  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 174.18/27.42  |            (13), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 174.18/27.42  |            (25), (26), (27), (29), (30), (31), (32), (33), (34), (35), (36),
% 174.18/27.42  |            (37), (38), (39), (41), (42), (43), (44), (45), (46), (47), (48),
% 174.18/27.42  |            (49), (50), (51), (52), (53), (54), (55), (56), (58), (59), (60),
% 174.18/27.42  |            (61), (62), (63), (64), (65), (66), (67), (68), (69), (70), (72),
% 174.18/27.42  |            (73), (74), (75), (76), (77), (78), (79), (80), (81), (82), (83),
% 174.18/27.42  |            (85), (86), (87), (88), (89), (90), (91), (92), (93), (94), (95),
% 174.18/27.42  |            (96), (97), (98), (99), (100), (101), (102), (103), (104), (105),
% 174.18/27.42  |            (106), (107), (108), (109), (110), (111), (112), (113), (114),
% 174.18/27.42  |            (116), (117), (118), (119), (120), (121), (122), (123), (124),
% 174.18/27.42  |            (125), (126), (127), (128), (129), (130), (131), (132), (133),
% 174.18/27.42  |            (134), (135), (137), (138), (139), (140), (141), (142), (143),
% 174.18/27.42  |            (144), (145), (146), (147), (148), (149), (150), (152), (153),
% 174.18/27.42  |            (154), (155), (156), (157), (158), (159), (160), (161), (162),
% 174.18/27.42  |            (163), (164), (165), (166), (167), (168), (169), (170), (171),
% 174.18/27.42  |            (172), (175), (176), (177), (178), (179), (180), (181), (182),
% 174.18/27.42  |            (183), (184), (185), (186) are inconsistent by sub-proof #646.
% 174.18/27.42  | 
% 174.18/27.42  End of proof
% 174.18/27.42  
% 174.18/27.42  Sub-proof #646 shows that the following formulas are inconsistent:
% 174.18/27.42  ----------------------------------------------------------------
% 174.18/27.42    (1)   ~ (all_52_12 = all_14_2)
% 174.18/27.42    (2)  all_54_8 = all_52_2
% 174.18/27.42    (3)  all_56_1 = all_52_4
% 174.18/27.42    (4)   ~ (all_6_0 = e0)
% 174.18/27.42    (5)  all_56_12 = all_52_3
% 174.18/27.42    (6)  all_56_15 = e0 | ((all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 174.18/27.42           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0))
% 174.18/27.42    (7)  op(e1, e3) = all_52_2
% 174.18/27.42    (8)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 174.18/27.42    (9)   ~ (all_10_2 = e0)
% 174.18/27.42    (10)   ~ (all_52_8 = all_52_12)
% 174.18/27.42    (11)   ~ (e3 = e1)
% 174.18/27.42    (12)  all_58_23 = all_52_7
% 174.18/27.42    (13)   ~ (all_52_2 = all_6_2)
% 174.18/27.42    (14)   ~ (all_52_4 = all_4_2)
% 174.18/27.42    (15)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.18/27.42    (16)  all_50_0 = all_14_0
% 174.18/27.42    (17)  all_54_3 = all_52_12
% 174.18/27.42    (18)   ~ (all_50_0 = e2) |  ~ (all_50_1 = e3) |  ~ (all_50_2 = e1)
% 174.18/27.42    (19)  all_56_5 = all_52_9
% 174.18/27.42    (20)   ~ (all_52_3 = all_52_11)
% 174.18/27.42    (21)  op(all_6_2, e3) = all_6_1
% 174.18/27.42    (22)   ~ (all_52_12 = all_6_2)
% 174.18/27.42    (23)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 174.18/27.42    (24)   ~ (all_52_6 = all_4_2)
% 174.18/27.42    (25)  op(e1, e0) = all_52_14
% 174.18/27.42    (26)   ~ (all_52_13 = e1)
% 174.18/27.42    (27)  all_56_15 = all_14_2
% 174.18/27.42    (28)  op(e3, all_52_4) = all_58_1
% 174.18/27.42    (29)  op(all_14_1, e1) = all_14_0
% 174.18/27.42    (30)  op(e1, e0) = all_14_1
% 174.18/27.42    (31)  all_54_1 = all_52_4
% 174.18/27.42    (32)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 174.18/27.42    (33)   ~ (all_52_9 = all_4_2)
% 174.18/27.42    (34)   ~ (all_52_3 = all_52_7)
% 174.18/27.42    (35)  all_54_6 = all_52_9
% 174.18/27.42    (36)  all_56_14 = all_52_11
% 174.18/27.42    (37)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 174.18/27.42    (38)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 174.18/27.42    (39)   ~ (all_52_13 = all_4_2)
% 174.18/27.42    (40)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 174.18/27.42    (41)  all_56_8 = all_10_2
% 174.18/27.42    (42)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.18/27.42    (43)  all_58_26 = all_10_2
% 174.18/27.42    (44)   ~ (all_52_4 = all_52_6)
% 174.18/27.42    (45)  all_58_31 = all_14_2
% 174.18/27.42    (46)   ~ (all_52_11 = all_10_2)
% 174.18/27.42    (47)   ~ (all_52_9 = all_52_13)
% 174.18/27.42    (48)   ~ (all_52_3 = all_6_2)
% 174.18/27.42    (49)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 174.18/27.42    (50)  op(all_6_1, all_6_2) = all_6_0
% 174.18/27.42    (51)   ~ (all_52_1 = all_6_2)
% 174.18/27.42    (52)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 174.18/27.42    (53)   ~ (all_52_11 = e1)
% 174.18/27.42    (54)  all_54_2 = all_52_8
% 174.18/27.42    (55)  all_56_11 = all_52_14
% 174.18/27.42    (56)  op(e2, e1) = all_52_9
% 174.18/27.42    (57)   ~ (all_52_6 = all_52_7)
% 174.18/27.42    (58)   ~ (all_4_1 = e0)
% 174.18/27.42    (59)  all_56_0 = all_6_2
% 174.18/27.42    (60)   ~ (all_52_9 = all_10_2)
% 174.18/27.42    (61)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.18/27.42    (62)  all_58_30 = all_52_14
% 174.18/27.42    (63)  all_58_27 = all_52_11
% 174.18/27.42    (64)  all_54_14 = all_52_11
% 174.18/27.42    (65)  op(e3, e2) = all_52_4
% 174.18/27.42    (66)  op(all_4_2, e2) = all_4_1
% 174.18/27.42    (67)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 174.18/27.42    (68)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 174.18/27.42    (69)  all_58_17 = all_52_1
% 174.18/27.42    (70)  op(e3, e1) = all_52_8
% 174.18/27.42    (71)  all_58_19 = all_52_3
% 174.18/27.42    (72)  all_56_9 = all_52_12
% 174.18/27.42    (73)   ~ (all_52_2 = all_52_6)
% 174.18/27.42    (74)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 174.18/27.42    (75)  op(e0, e1) = all_58_15
% 174.18/27.42    (76)   ~ (all_52_12 = e1)
% 174.18/27.42    (77)   ~ (e3 = e2)
% 174.18/27.42    (78)   ~ (all_52_4 = all_52_7)
% 174.18/27.42    (79)   ~ (e2 = e1)
% 174.18/27.42    (80)   ~ (all_52_6 = all_10_2)
% 174.18/27.42    (81)   ~ (all_52_7 = e1)
% 174.18/27.42    (82)  op(e0, e1) = all_52_11
% 174.18/27.42    (83)   ~ (all_52_7 = all_14_2)
% 174.18/27.42    (84)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.18/27.42    (85)   ~ (all_52_14 = e1)
% 174.18/27.42    (86)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 174.18/27.42    (87)   ~ (all_52_1 = all_4_2)
% 174.18/27.42    (88)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.18/27.42    (89)   ~ (all_52_3 = e1)
% 174.18/27.42    (90)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 174.18/27.42    (91)  all_54_9 = all_52_6
% 174.18/27.42    (92)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.18/27.42    (93)   ~ (all_52_13 = all_52_14)
% 174.18/27.42    (94)  op(e2, e3) = all_52_1
% 174.18/27.42    (95)  all_58_18 = all_52_2
% 174.18/27.42    (96)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.18/27.42    (97)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 174.18/27.42    (98)  all_58_16 = all_6_2
% 174.18/27.42    (99)  all_56_13 = all_52_7
% 174.18/27.42    (100)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 174.18/27.42    (101)   ~ (all_52_8 = all_52_9)
% 174.18/27.42    (102)   ~ (all_52_4 = all_6_2)
% 174.18/27.42    (103)  all_50_1 = all_14_1
% 174.18/27.42    (104)  all_56_2 = all_52_1
% 174.18/27.42    (105)   ~ (e3 = e0)
% 174.18/27.42    (106)  all_58_29 = all_52_13
% 174.18/27.42    (107)   ~ (all_52_1 = all_52_2)
% 174.18/27.42    (108)   ~ (all_4_2 = e0)
% 174.18/27.42    (109)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 174.18/27.42    (110)   ~ (all_6_2 = e0)
% 174.18/27.42    (111)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 174.18/27.42    (112)   ~ (all_52_6 = all_52_14)
% 174.18/27.42    (113)  all_50_2 = e1
% 174.18/27.42    (114)   ~ (all_52_7 = all_4_2)
% 174.18/27.42    (115)   ~ (all_52_8 = all_10_2)
% 174.18/27.42    (116)  all_56_4 = all_52_8
% 174.18/27.42    (117)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 174.18/27.42    (118)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 174.18/27.42    (119)   ~ (all_52_1 = all_52_13)
% 174.18/27.42    (120)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 174.18/27.42    (121)  all_58_20 = all_52_4
% 174.18/27.42    (122)  all_54_13 = all_52_7
% 174.18/27.42    (123)   ~ (all_52_7 = all_52_11)
% 174.18/27.42    (124)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 174.18/27.42    (125)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 174.18/27.42    (126)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 174.18/27.42    (127)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.18/27.42    (128)   ~ (all_52_8 = all_52_11)
% 174.18/27.42    (129)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 174.18/27.42    (130)   ~ (all_52_8 = all_6_2)
% 174.18/27.42    (131)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 174.18/27.42    (132)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 174.18/27.42    (133)  all_56_6 = all_52_2
% 174.18/27.42    (134)   ~ (all_52_1 = all_52_9)
% 174.18/27.42    (135)  all_58_24 = all_52_8
% 174.18/27.42    (136)   ~ (all_52_12 = all_52_14)
% 174.18/27.42    (137)   ~ (all_52_9 = all_52_11)
% 174.18/27.42    (138)  all_58_22 = all_52_6
% 174.18/27.42    (139)   ~ (all_52_4 = all_52_12)
% 174.18/27.42    (140)  all_56_3 = all_4_2
% 174.18/27.42    (141)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 174.18/27.42    (142)  all_54_0 = all_6_2
% 174.18/27.42    (143)   ~ (all_52_14 = all_10_2)
% 174.18/27.42    (144)   ~ (all_52_2 = all_52_3)
% 174.18/27.42    (145)   ~ (all_52_4 = all_52_8)
% 174.18/27.42    (146)   ~ (all_52_14 = all_14_2)
% 174.18/27.42    (147)  all_58_25 = all_52_9
% 174.18/27.42    (148)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 174.18/27.42    (149)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.18/27.42             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.18/27.42    (150)   ~ (all_6_1 = e0)
% 174.18/27.42    (151)  all_54_12 = all_52_3
% 174.18/27.42    (152)   ~ (all_52_2 = all_52_14)
% 174.18/27.42    (153)  all_58_21 = all_4_2
% 174.18/27.42    (154)  all_56_10 = all_52_13
% 174.18/27.42    (155)  op(e2, all_52_9) = all_58_6
% 174.18/27.42    (156)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 174.18/27.42    (157)   ~ (e2 = e0)
% 174.18/27.42    (158)   ~ (all_52_1 = all_52_3)
% 174.18/27.42    (159)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 174.18/27.42    (160)  all_58_28 = all_52_12
% 174.18/27.42    (161)  op(e1, all_52_6) = all_58_9
% 174.18/27.42    (162)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 174.18/27.42    (163)   ~ (e1 = e0)
% 174.18/27.42    (164)  all_54_4 = all_52_1
% 174.18/27.42    (165)  all_56_7 = all_52_6
% 174.18/27.42    (166)  all_58_31 = e1
% 174.18/27.42    (167)  all_54_5 = all_4_2
% 174.18/27.42    (168)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 174.18/27.42    (169)  all_54_7 = all_52_13
% 174.18/27.42    (170)   ~ (all_52_2 = all_10_2)
% 174.18/27.42    (171)  op(e1, e2) = all_52_6
% 174.18/27.42    (172)  all_54_11 = all_52_14
% 174.18/27.42    (173)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.18/27.42    (174)  all_56_15 = e1
% 174.18/27.42    (175)   ~ (all_52_12 = all_52_13)
% 174.18/27.42  
% 174.18/27.42  Begin of proof
% 174.18/27.42  | 
% 174.18/27.42  | GROUND_INST: instantiating (149) with all_52_11, all_58_15, e1, e0,
% 174.18/27.42  |              simplifying with (75), (82) gives:
% 174.18/27.42  |   (176)  all_58_15 = all_52_11
% 174.18/27.42  | 
% 174.18/27.42  | GROUND_INST: instantiating (149) with all_52_14, all_14_1, e0, e1, simplifying
% 174.18/27.42  |              with (25), (30) gives:
% 174.18/27.42  |   (177)  all_52_14 = all_14_1
% 174.18/27.42  | 
% 174.18/27.42  | COMBINE_EQS: (172), (177) imply:
% 174.18/27.42  |   (178)  all_54_11 = all_14_1
% 174.18/27.42  | 
% 174.18/27.42  | COMBINE_EQS: (55), (177) imply:
% 174.18/27.42  |   (179)  all_56_11 = all_14_1
% 174.18/27.42  | 
% 174.18/27.42  | COMBINE_EQS: (62), (177) imply:
% 174.18/27.42  |   (180)  all_58_30 = all_14_1
% 174.18/27.42  | 
% 174.18/27.42  | REDUCE: (152), (177) imply:
% 174.18/27.42  |   (181)   ~ (all_52_2 = all_14_1)
% 174.18/27.42  | 
% 174.18/27.42  | REDUCE: (112), (177) imply:
% 174.18/27.42  |   (182)   ~ (all_52_6 = all_14_1)
% 174.18/27.42  | 
% 174.18/27.42  | REDUCE: (136), (177) imply:
% 174.18/27.42  |   (183)   ~ (all_52_12 = all_14_1)
% 174.18/27.42  | 
% 174.18/27.42  | REDUCE: (93), (177) imply:
% 174.18/27.42  |   (184)   ~ (all_52_13 = all_14_1)
% 174.18/27.42  | 
% 174.18/27.42  | REDUCE: (143), (177) imply:
% 174.18/27.42  |   (185)   ~ (all_14_1 = all_10_2)
% 174.18/27.42  | 
% 174.18/27.42  | REDUCE: (85), (177) imply:
% 174.18/27.42  |   (186)   ~ (all_14_1 = e1)
% 174.18/27.42  | 
% 174.18/27.42  | BETA: splitting (18) gives:
% 174.18/27.42  | 
% 174.18/27.42  | Case 1:
% 174.18/27.42  | | 
% 174.18/27.42  | |   (187)   ~ (all_50_2 = e1)
% 174.18/27.42  | | 
% 174.18/27.42  | | REDUCE: (113), (187) imply:
% 174.18/27.42  | |   (188)  $false
% 174.18/27.42  | | 
% 174.18/27.42  | | CLOSE: (188) is inconsistent.
% 174.18/27.42  | | 
% 174.18/27.42  | Case 2:
% 174.18/27.42  | | 
% 174.18/27.42  | |   (189)   ~ (all_50_0 = e2) |  ~ (all_50_1 = e3)
% 174.18/27.42  | | 
% 174.18/27.42  | | BETA: splitting (23) gives:
% 174.18/27.42  | | 
% 174.18/27.42  | | Case 1:
% 174.18/27.42  | | | 
% 174.18/27.42  | | |   (190)  all_54_5 = e0
% 174.18/27.42  | | | 
% 174.18/27.42  | | | REF_CLOSE: (108), (167), (190) are inconsistent by sub-proof #983.
% 174.18/27.42  | | | 
% 174.18/27.42  | | Case 2:
% 174.18/27.42  | | | 
% 174.18/27.42  | | |   (191)   ~ (all_54_5 = e0)
% 174.18/27.42  | | |   (192)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 174.18/27.42  | | | 
% 174.18/27.42  | | | BETA: splitting (8) gives:
% 174.18/27.42  | | | 
% 174.18/27.42  | | | Case 1:
% 174.18/27.42  | | | | 
% 174.18/27.42  | | | |   (193)  all_54_0 = e0
% 174.18/27.42  | | | | 
% 174.18/27.42  | | | | REF_CLOSE: (110), (142), (193) are inconsistent by sub-proof #984.
% 174.18/27.42  | | | | 
% 174.18/27.42  | | | Case 2:
% 174.18/27.42  | | | | 
% 174.18/27.42  | | | |   (194)   ~ (all_54_0 = e0)
% 174.18/27.42  | | | |   (195)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.18/27.42  | | | | 
% 174.18/27.42  | | | | BETA: splitting (120) gives:
% 174.18/27.42  | | | | 
% 174.18/27.42  | | | | Case 1:
% 174.18/27.42  | | | | | 
% 174.18/27.42  | | | | |   (196)  all_54_12 = e0
% 174.18/27.42  | | | | | 
% 174.18/27.42  | | | | | COMBINE_EQS: (151), (196) imply:
% 174.18/27.42  | | | | |   (197)  all_52_3 = e0
% 174.18/27.42  | | | | | 
% 174.18/27.42  | | | | | COMBINE_EQS: (5), (197) imply:
% 174.18/27.42  | | | | |   (198)  all_56_12 = e0
% 174.18/27.42  | | | | | 
% 174.18/27.42  | | | | | REDUCE: (158), (197) imply:
% 174.18/27.42  | | | | |   (199)   ~ (all_52_1 = e0)
% 174.18/27.42  | | | | | 
% 174.18/27.42  | | | | | REDUCE: (144), (197) imply:
% 174.18/27.42  | | | | |   (200)   ~ (all_52_2 = e0)
% 174.18/27.42  | | | | | 
% 174.18/27.42  | | | | | REDUCE: (34), (197) imply:
% 174.18/27.42  | | | | |   (201)   ~ (all_52_7 = e0)
% 174.18/27.42  | | | | | 
% 174.18/27.42  | | | | | SIMP: (201) implies:
% 174.18/27.42  | | | | |   (202)   ~ (all_52_7 = e0)
% 174.18/27.42  | | | | | 
% 174.18/27.42  | | | | | REDUCE: (20), (197) imply:
% 174.18/27.42  | | | | |   (203)   ~ (all_52_11 = e0)
% 174.18/27.42  | | | | | 
% 174.18/27.42  | | | | | SIMP: (203) implies:
% 174.18/27.42  | | | | |   (204)   ~ (all_52_11 = e0)
% 174.18/27.42  | | | | | 
% 174.18/27.42  | | | | | REDUCE: (48), (197) imply:
% 174.18/27.42  | | | | |   (205)   ~ (all_6_2 = e0)
% 174.18/27.42  | | | | | 
% 174.18/27.42  | | | | | REDUCE: (89), (197) imply:
% 174.18/27.42  | | | | |   (206)   ~ (e1 = e0)
% 174.18/27.42  | | | | | 
% 174.18/27.42  | | | | | REF_CLOSE: (1), (2), (3), (4), (7), (9), (10), (11), (12), (13), (14),
% 174.18/27.42  | | | | |            (19), (21), (22), (24), (26), (27), (29), (31), (33), (36),
% 174.18/27.42  | | | | |            (39), (40), (41), (42), (43), (44), (45), (46), (49), (50),
% 174.18/27.42  | | | | |            (51), (55), (56), (57), (59), (60), (61), (62), (63), (64),
% 174.18/27.42  | | | | |            (68), (72), (73), (74), (76), (77), (78), (79), (80), (82),
% 174.18/27.42  | | | | |            (83), (84), (87), (88), (90), (92), (93), (94), (96), (97),
% 174.18/27.42  | | | | |            (99), (100), (101), (102), (104), (105), (106), (107),
% 174.18/27.42  | | | | |            (108), (109), (110), (111), (112), (114), (115), (116),
% 174.18/27.42  | | | | |            (117), (119), (121), (122), (123), (126), (127), (128),
% 174.18/27.42  | | | | |            (130), (131), (132), (133), (134), (135), (137), (138),
% 174.18/27.42  | | | | |            (139), (140), (141), (142), (143), (145), (147), (149),
% 174.18/27.42  | | | | |            (153), (154), (156), (157), (159), (160), (162), (163),
% 174.18/27.42  | | | | |            (164), (165), (166), (168), (170), (171), (173), (174),
% 174.18/27.42  | | | | |            (175), (179), (180), (181), (186), (195), (198), (199),
% 174.18/27.42  | | | | |            (200), (202), (204) are inconsistent by sub-proof #667.
% 174.18/27.42  | | | | | 
% 174.18/27.42  | | | | Case 2:
% 174.18/27.42  | | | | | 
% 174.18/27.42  | | | | |   (207)   ~ (all_54_12 = e0)
% 174.18/27.42  | | | | |   (208)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 174.18/27.42  | | | | | 
% 174.18/27.42  | | | | | REDUCE: (151), (207) imply:
% 174.18/27.42  | | | | |   (209)   ~ (all_52_3 = e0)
% 174.18/27.42  | | | | | 
% 174.18/27.42  | | | | | BETA: splitting (124) gives:
% 174.18/27.42  | | | | | 
% 174.18/27.42  | | | | | Case 1:
% 174.18/27.42  | | | | | | 
% 174.18/27.42  | | | | | |   (210)  all_56_0 = e0
% 174.18/27.42  | | | | | | 
% 174.18/27.42  | | | | | | COMBINE_EQS: (59), (210) imply:
% 174.18/27.42  | | | | | |   (211)  all_6_2 = e0
% 174.18/27.42  | | | | | | 
% 174.18/27.42  | | | | | | REDUCE: (110), (211) imply:
% 174.18/27.42  | | | | | |   (212)  $false
% 174.18/27.42  | | | | | | 
% 174.18/27.42  | | | | | | CLOSE: (212) is inconsistent.
% 174.18/27.42  | | | | | | 
% 174.18/27.42  | | | | | Case 2:
% 174.18/27.42  | | | | | | 
% 174.18/27.42  | | | | | |   (213)   ~ (all_56_0 = e0)
% 174.18/27.42  | | | | | |   (214)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 174.18/27.42  | | | | | | 
% 174.18/27.42  | | | | | | BETA: splitting (159) gives:
% 174.18/27.42  | | | | | | 
% 174.18/27.42  | | | | | | Case 1:
% 174.18/27.42  | | | | | | | 
% 174.18/27.42  | | | | | | |   (215)  all_54_13 = e0
% 174.18/27.42  | | | | | | | 
% 174.18/27.42  | | | | | | | COMBINE_EQS: (122), (215) imply:
% 174.18/27.42  | | | | | | |   (216)  all_52_7 = e0
% 174.18/27.42  | | | | | | | 
% 174.18/27.42  | | | | | | | COMBINE_EQS: (99), (216) imply:
% 174.18/27.42  | | | | | | |   (217)  all_56_13 = e0
% 174.18/27.42  | | | | | | | 
% 174.18/27.42  | | | | | | | REDUCE: (78), (216) imply:
% 174.18/27.42  | | | | | | |   (218)   ~ (all_52_4 = e0)
% 174.18/27.42  | | | | | | | 
% 174.18/27.42  | | | | | | | REDUCE: (57), (216) imply:
% 174.18/27.42  | | | | | | |   (219)   ~ (all_52_6 = e0)
% 174.18/27.42  | | | | | | | 
% 174.18/27.42  | | | | | | | REDUCE: (123), (216) imply:
% 174.18/27.42  | | | | | | |   (220)   ~ (all_52_11 = e0)
% 174.18/27.42  | | | | | | | 
% 174.18/27.42  | | | | | | | SIMP: (220) implies:
% 174.18/27.42  | | | | | | |   (221)   ~ (all_52_11 = e0)
% 174.18/27.42  | | | | | | | 
% 174.18/27.42  | | | | | | | REDUCE: (114), (216) imply:
% 174.18/27.42  | | | | | | |   (222)   ~ (all_4_2 = e0)
% 174.18/27.42  | | | | | | | 
% 174.18/27.42  | | | | | | | REDUCE: (81), (216) imply:
% 174.18/27.42  | | | | | | |   (223)   ~ (e1 = e0)
% 174.18/27.42  | | | | | | | 
% 174.18/27.42  | | | | | | | BETA: splitting (74) gives:
% 174.18/27.42  | | | | | | | 
% 174.18/27.42  | | | | | | | Case 1:
% 174.18/27.42  | | | | | | | | 
% 174.18/27.42  | | | | | | | |   (224)  all_54_14 = e0
% 174.18/27.42  | | | | | | | | 
% 174.18/27.42  | | | | | | | | COMBINE_EQS: (64), (224) imply:
% 174.18/27.42  | | | | | | | |   (225)  all_52_11 = e0
% 174.18/27.42  | | | | | | | | 
% 174.18/27.42  | | | | | | | | REDUCE: (221), (225) imply:
% 174.18/27.42  | | | | | | | |   (226)  $false
% 174.18/27.42  | | | | | | | | 
% 174.18/27.42  | | | | | | | | CLOSE: (226) is inconsistent.
% 174.18/27.42  | | | | | | | | 
% 174.18/27.42  | | | | | | | Case 2:
% 174.18/27.42  | | | | | | | | 
% 174.18/27.42  | | | | | | | |   (227)   ~ (all_54_14 = e0)
% 174.18/27.42  | | | | | | | |   (228)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 174.18/27.42  | | | | | | | | 
% 174.18/27.42  | | | | | | | | BETA: splitting (126) gives:
% 174.18/27.42  | | | | | | | | 
% 174.18/27.42  | | | | | | | | Case 1:
% 174.18/27.42  | | | | | | | | | 
% 174.18/27.42  | | | | | | | | |   (229)  all_56_6 = e0
% 174.18/27.42  | | | | | | | | | 
% 174.18/27.42  | | | | | | | | | COMBINE_EQS: (133), (229) imply:
% 174.18/27.42  | | | | | | | | |   (230)  all_52_2 = e0
% 174.18/27.42  | | | | | | | | | 
% 174.18/27.42  | | | | | | | | | COMBINE_EQS: (95), (230) imply:
% 174.18/27.42  | | | | | | | | |   (231)  all_58_18 = e0
% 174.18/27.42  | | | | | | | | | 
% 174.18/27.42  | | | | | | | | | REDUCE: (107), (230) imply:
% 174.18/27.42  | | | | | | | | |   (232)   ~ (all_52_1 = e0)
% 174.18/27.42  | | | | | | | | | 
% 174.18/27.42  | | | | | | | | | REDUCE: (144), (230) imply:
% 174.18/27.42  | | | | | | | | |   (233)   ~ (all_52_3 = e0)
% 174.18/27.42  | | | | | | | | | 
% 174.18/27.42  | | | | | | | | | REDUCE: (73), (230) imply:
% 174.18/27.42  | | | | | | | | |   (234)   ~ (all_52_6 = e0)
% 174.18/27.42  | | | | | | | | | 
% 174.18/27.42  | | | | | | | | | REDUCE: (181), (230) imply:
% 174.18/27.42  | | | | | | | | |   (235)   ~ (all_14_1 = e0)
% 174.18/27.42  | | | | | | | | | 
% 174.18/27.42  | | | | | | | | | SIMP: (235) implies:
% 174.18/27.42  | | | | | | | | |   (236)   ~ (all_14_1 = e0)
% 174.18/27.42  | | | | | | | | | 
% 174.18/27.42  | | | | | | | | | REDUCE: (170), (230) imply:
% 174.18/27.42  | | | | | | | | |   (237)   ~ (all_10_2 = e0)
% 174.18/27.42  | | | | | | | | | 
% 174.18/27.42  | | | | | | | | | REDUCE: (13), (230) imply:
% 174.18/27.42  | | | | | | | | |   (238)   ~ (all_6_2 = e0)
% 174.18/27.42  | | | | | | | | | 
% 174.18/27.42  | | | | | | | | | REDUCE: (7), (230) imply:
% 174.18/27.42  | | | | | | | | |   (239)  op(e1, e3) = e0
% 174.18/27.42  | | | | | | | | | 
% 174.18/27.42  | | | | | | | | | REF_CLOSE: (3), (5), (9), (10), (15), (16), (19), (21), (22),
% 174.18/27.42  | | | | | | | | |            (26), (28), (29), (36), (38), (41), (42), (43),
% 174.18/27.42  | | | | | | | | |            (51), (52), (54), (59), (60), (61), (63), (68),
% 174.18/27.42  | | | | | | | | |            (69), (70), (71), (72), (76), (77), (79), (80),
% 174.18/27.42  | | | | | | | | |            (87), (88), (89), (91), (98), (100), (101), (103),
% 174.18/27.42  | | | | | | | | |            (104), (105), (106), (108), (110), (115), (116),
% 174.18/27.42  | | | | | | | | |            (117), (119), (125), (128), (130), (132), (134),
% 174.18/27.42  | | | | | | | | |            (135), (137), (140), (142), (147), (148), (149),
% 174.18/27.42  | | | | | | | | |            (150), (154), (157), (160), (161), (162), (165),
% 174.18/27.42  | | | | | | | | |            (166), (174), (175), (178), (179), (180), (182),
% 174.18/27.42  | | | | | | | | |            (184), (185), (186), (189), (195), (209), (217),
% 174.18/27.42  | | | | | | | | |            (218), (219), (221), (229), (231), (232), (236),
% 174.18/27.42  | | | | | | | | |            (239) are inconsistent by sub-proof #658.
% 174.18/27.42  | | | | | | | | | 
% 174.18/27.42  | | | | | | | | Case 2:
% 174.18/27.42  | | | | | | | | | 
% 174.18/27.42  | | | | | | | | |   (240)   ~ (all_56_6 = e0)
% 174.18/27.42  | | | | | | | | | 
% 174.18/27.42  | | | | | | | | | REDUCE: (133), (240) imply:
% 174.18/27.42  | | | | | | | | |   (241)   ~ (all_52_2 = e0)
% 174.18/27.42  | | | | | | | | | 
% 174.18/27.42  | | | | | | | | | REF_CLOSE: (2), (3), (5), (6), (9), (10), (13), (15), (17),
% 174.18/27.42  | | | | | | | | |            (19), (20), (22), (29), (32), (34), (36), (40),
% 174.18/27.42  | | | | | | | | |            (41), (42), (43), (48), (49), (53), (59), (61),
% 174.18/27.42  | | | | | | | | |            (63), (64), (67), (69), (71), (72), (76), (82),
% 174.18/27.42  | | | | | | | | |            (88), (89), (95), (97), (98), (99), (100), (104),
% 174.18/27.42  | | | | | | | | |            (106), (107), (108), (111), (116), (118), (119),
% 174.18/27.42  | | | | | | | | |            (128), (133), (134), (135), (137), (140), (142),
% 174.18/27.42  | | | | | | | | |            (144), (147), (149), (151), (154), (158), (160),
% 174.18/27.42  | | | | | | | | |            (163), (165), (166), (168), (170), (174), (175),
% 174.18/27.42  | | | | | | | | |            (179), (180), (181), (183), (185), (195), (208),
% 174.18/27.42  | | | | | | | | |            (214), (218), (219), (221), (228), (241) are
% 174.18/27.42  | | | | | | | | |            inconsistent by sub-proof #652.
% 174.18/27.42  | | | | | | | | | 
% 174.18/27.42  | | | | | | | | End of split
% 174.18/27.42  | | | | | | | | 
% 174.18/27.42  | | | | | | | End of split
% 174.18/27.42  | | | | | | | 
% 174.18/27.42  | | | | | | Case 2:
% 174.18/27.42  | | | | | | | 
% 174.18/27.42  | | | | | | |   (242)   ~ (all_54_13 = e0)
% 174.18/27.42  | | | | | | | 
% 174.18/27.42  | | | | | | | REDUCE: (122), (242) imply:
% 174.18/27.42  | | | | | | |   (243)   ~ (all_52_7 = e0)
% 174.18/27.42  | | | | | | | 
% 174.18/27.42  | | | | | | | BETA: splitting (6) gives:
% 174.18/27.42  | | | | | | | 
% 174.18/27.42  | | | | | | | Case 1:
% 174.18/27.42  | | | | | | | | 
% 174.18/27.42  | | | | | | | |   (244)  all_56_15 = e0
% 174.18/27.42  | | | | | | | | 
% 174.18/27.42  | | | | | | | | REF_CLOSE: (163), (174), (244) are inconsistent by sub-proof
% 174.18/27.42  | | | | | | | |            #657.
% 174.18/27.42  | | | | | | | | 
% 174.18/27.42  | | | | | | | Case 2:
% 174.18/27.42  | | | | | | | | 
% 174.18/27.42  | | | | | | | |   (245)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 174.18/27.42  | | | | | | | |          (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0)
% 174.18/27.42  | | | | | | | | 
% 174.18/27.42  | | | | | | | | ALPHA: (245) implies:
% 174.18/27.42  | | | | | | | |   (246)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 174.18/27.42  | | | | | | | |   (247)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 174.18/27.42  | | | | | | | | 
% 174.18/27.42  | | | | | | | | BETA: splitting (246) gives:
% 174.18/27.42  | | | | | | | | 
% 174.18/27.42  | | | | | | | | Case 1:
% 174.18/27.42  | | | | | | | | | 
% 174.18/27.42  | | | | | | | | |   (248)  all_56_12 = e0
% 174.18/27.42  | | | | | | | | | 
% 174.18/27.42  | | | | | | | | | REF_CLOSE: (5), (209), (248) are inconsistent by sub-proof
% 174.18/27.42  | | | | | | | | |            #919.
% 174.18/27.42  | | | | | | | | | 
% 174.18/27.42  | | | | | | | | Case 2:
% 174.18/27.42  | | | | | | | | | 
% 174.18/27.42  | | | | | | | | |   (249)  all_56_13 = e0 | all_56_14 = e0
% 174.18/27.42  | | | | | | | | | 
% 174.18/27.42  | | | | | | | | | BETA: splitting (249) gives:
% 174.18/27.42  | | | | | | | | | 
% 174.18/27.42  | | | | | | | | | Case 1:
% 174.18/27.42  | | | | | | | | | | 
% 174.18/27.42  | | | | | | | | | |   (250)  all_56_13 = e0
% 174.18/27.42  | | | | | | | | | | 
% 174.18/27.42  | | | | | | | | | | REF_CLOSE: (99), (243), (250) are inconsistent by sub-proof
% 174.18/27.42  | | | | | | | | | |            #942.
% 174.18/27.42  | | | | | | | | | | 
% 174.18/27.42  | | | | | | | | | Case 2:
% 174.18/27.42  | | | | | | | | | | 
% 174.18/27.42  | | | | | | | | | |   (251)  all_56_14 = e0
% 174.18/27.42  | | | | | | | | | | 
% 174.18/27.42  | | | | | | | | | | COMBINE_EQS: (36), (251) imply:
% 174.18/27.42  | | | | | | | | | |   (252)  all_52_11 = e0
% 174.18/27.42  | | | | | | | | | | 
% 174.18/27.42  | | | | | | | | | | SIMP: (252) implies:
% 174.18/27.43  | | | | | | | | | |   (253)  all_52_11 = e0
% 174.18/27.43  | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | REDUCE: (128), (253) imply:
% 174.18/27.43  | | | | | | | | | |   (254)   ~ (all_52_8 = e0)
% 174.18/27.43  | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | REDUCE: (137), (253) imply:
% 174.18/27.43  | | | | | | | | | |   (255)   ~ (all_52_9 = e0)
% 174.18/27.43  | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | REDUCE: (46), (253) imply:
% 174.18/27.43  | | | | | | | | | |   (256)   ~ (all_10_2 = e0)
% 174.18/27.43  | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | BETA: splitting (97) gives:
% 174.18/27.43  | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | Case 1:
% 174.18/27.43  | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | |   (257)  all_56_1 = e0
% 174.18/27.43  | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | COMBINE_EQS: (3), (257) imply:
% 174.18/27.43  | | | | | | | | | | |   (258)  all_52_4 = e0
% 174.18/27.43  | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | COMBINE_EQS: (121), (258) imply:
% 174.18/27.43  | | | | | | | | | | |   (259)  all_58_20 = e0
% 174.18/27.43  | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | REDUCE: (44), (258) imply:
% 174.18/27.43  | | | | | | | | | | |   (260)   ~ (all_52_6 = e0)
% 174.18/27.43  | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | SIMP: (260) implies:
% 174.18/27.43  | | | | | | | | | | |   (261)   ~ (all_52_6 = e0)
% 174.18/27.43  | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | REDUCE: (78), (258) imply:
% 174.18/27.43  | | | | | | | | | | |   (262)   ~ (all_52_7 = e0)
% 174.18/27.43  | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | REDUCE: (139), (258) imply:
% 174.18/27.43  | | | | | | | | | | |   (263)   ~ (all_52_12 = e0)
% 174.18/27.43  | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | SIMP: (263) implies:
% 174.18/27.43  | | | | | | | | | | |   (264)   ~ (all_52_12 = e0)
% 174.18/27.43  | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | REDUCE: (14), (258) imply:
% 174.18/27.43  | | | | | | | | | | |   (265)   ~ (all_4_2 = e0)
% 174.18/27.43  | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | REDUCE: (65), (258) imply:
% 174.18/27.43  | | | | | | | | | | |   (266)  op(e3, e2) = e0
% 174.18/27.43  | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | BETA: splitting (126) gives:
% 174.18/27.43  | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | Case 1:
% 174.18/27.43  | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | |   (267)  all_56_6 = e0
% 174.18/27.43  | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | COMBINE_EQS: (133), (267) imply:
% 174.18/27.43  | | | | | | | | | | | |   (268)  all_52_2 = e0
% 174.18/27.43  | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | COMBINE_EQS: (95), (268) imply:
% 174.18/27.43  | | | | | | | | | | | |   (269)  all_58_18 = e0
% 174.18/27.43  | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | REDUCE: (144), (268) imply:
% 174.18/27.43  | | | | | | | | | | | |   (270)   ~ (all_52_3 = e0)
% 174.18/27.43  | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | REDUCE: (181), (268) imply:
% 174.18/27.43  | | | | | | | | | | | |   (271)   ~ (all_14_1 = e0)
% 174.18/27.43  | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | SIMP: (271) implies:
% 174.18/27.43  | | | | | | | | | | | |   (272)   ~ (all_14_1 = e0)
% 174.18/27.43  | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | REF_CLOSE: (12), (15), (22), (24), (26), (42), (58), (66),
% 174.18/27.43  | | | | | | | | | | | |            (69), (71), (72), (77), (87), (98), (104), (106),
% 174.18/27.43  | | | | | | | | | | | |            (127), (138), (140), (149), (153), (154), (157),
% 174.18/27.43  | | | | | | | | | | | |            (160), (166), (167), (173), (175), (179), (180),
% 174.18/27.43  | | | | | | | | | | | |            (186), (192), (209), (243), (247), (259), (264),
% 174.18/27.43  | | | | | | | | | | | |            (266), (269), (272) are inconsistent by sub-proof
% 174.18/27.43  | | | | | | | | | | | |            #650.
% 174.18/27.43  | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | Case 2:
% 174.18/27.43  | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | |   (273)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 174.18/27.43  | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | BETA: splitting (273) gives:
% 174.18/27.43  | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | Case 1:
% 174.18/27.43  | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | |   (274)  all_56_7 = e0
% 174.18/27.43  | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | COMBINE_EQS: (165), (274) imply:
% 174.18/27.43  | | | | | | | | | | | | |   (275)  all_52_6 = e0
% 174.18/27.43  | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | REDUCE: (261), (275) imply:
% 174.18/27.43  | | | | | | | | | | | | |   (276)  $false
% 174.18/27.43  | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | CLOSE: (276) is inconsistent.
% 174.18/27.43  | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | Case 2:
% 174.18/27.43  | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | |   (277)  all_56_8 = e0 | all_56_11 = e0
% 174.18/27.43  | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | BETA: splitting (277) gives:
% 174.18/27.43  | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | Case 1:
% 174.18/27.43  | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | |   (278)  all_56_8 = e0
% 174.18/27.43  | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | REF_CLOSE: (9), (41), (278) are inconsistent by sub-proof
% 174.18/27.43  | | | | | | | | | | | | | |            #916.
% 174.18/27.43  | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | Case 2:
% 174.18/27.43  | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | |   (279)  all_56_11 = e0
% 174.18/27.43  | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | COMBINE_EQS: (179), (279) imply:
% 174.18/27.43  | | | | | | | | | | | | | |   (280)  all_14_1 = e0
% 174.18/27.43  | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | SIMP: (280) implies:
% 174.18/27.43  | | | | | | | | | | | | | |   (281)  all_14_1 = e0
% 174.18/27.43  | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | REDUCE: (184), (281) imply:
% 174.18/27.43  | | | | | | | | | | | | | |   (282)   ~ (all_52_13 = e0)
% 174.18/27.43  | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | REDUCE: (186), (281) imply:
% 174.18/27.43  | | | | | | | | | | | | | |   (283)   ~ (e1 = e0)
% 174.18/27.43  | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | REF_CLOSE: (5), (10), (11), (12), (13), (15), (19), (21),
% 174.18/27.43  | | | | | | | | | | | | | |            (24), (33), (35), (37), (39), (42), (45), (47),
% 174.18/27.43  | | | | | | | | | | | | | |            (48), (51), (55), (58), (59), (62), (66), (69),
% 174.18/27.43  | | | | | | | | | | | | | |            (71), (72), (73), (77), (79), (84), (86), (88),
% 174.18/27.43  | | | | | | | | | | | | | |            (93), (94), (95), (98), (104), (105), (106),
% 174.18/27.43  | | | | | | | | | | | | | |            (108), (116), (117), (119), (127), (129), (133),
% 174.18/27.43  | | | | | | | | | | | | | |            (134), (136), (138), (140), (141), (146), (149),
% 174.18/27.43  | | | | | | | | | | | | | |            (150), (152), (153), (154), (155), (157), (158),
% 174.18/27.43  | | | | | | | | | | | | | |            (160), (163), (167), (169), (173), (175), (192),
% 174.18/27.43  | | | | | | | | | | | | | |            (243), (247), (255), (257), (259), (264), (266),
% 174.18/27.43  | | | | | | | | | | | | | |            (282) are inconsistent by sub-proof #694.
% 174.18/27.43  | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | End of split
% 174.18/27.43  | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | End of split
% 174.18/27.43  | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | End of split
% 174.18/27.43  | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | Case 2:
% 174.18/27.43  | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | |   (284)   ~ (all_56_1 = e0)
% 174.18/27.43  | | | | | | | | | | |   (285)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 174.18/27.43  | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | REDUCE: (3), (284) imply:
% 174.18/27.43  | | | | | | | | | | |   (286)   ~ (all_52_4 = e0)
% 174.18/27.43  | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | BETA: splitting (132) gives:
% 174.18/27.43  | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | Case 1:
% 174.18/27.43  | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | |   (287)  all_56_0 = e0
% 174.18/27.43  | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | COMBINE_EQS: (59), (287) imply:
% 174.18/27.43  | | | | | | | | | | | |   (288)  all_6_2 = e0
% 174.18/27.43  | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | REDUCE: (110), (288) imply:
% 174.18/27.43  | | | | | | | | | | | |   (289)  $false
% 174.18/27.43  | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | CLOSE: (289) is inconsistent.
% 174.18/27.43  | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | Case 2:
% 174.18/27.43  | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | |   (290)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 174.18/27.43  | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | BETA: splitting (290) gives:
% 174.18/27.43  | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | Case 1:
% 174.18/27.43  | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | |   (291)  all_56_1 = e0
% 174.18/27.43  | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | COMBINE_EQS: (3), (291) imply:
% 174.18/27.43  | | | | | | | | | | | | |   (292)  all_52_4 = e0
% 174.18/27.43  | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | REDUCE: (286), (292) imply:
% 174.18/27.43  | | | | | | | | | | | | |   (293)  $false
% 174.18/27.43  | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | CLOSE: (293) is inconsistent.
% 174.18/27.43  | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | Case 2:
% 174.18/27.43  | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | |   (294)  all_56_4 = e0 | all_56_9 = e0
% 174.18/27.43  | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | BETA: splitting (294) gives:
% 174.18/27.43  | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | Case 1:
% 174.18/27.43  | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | |   (295)  all_56_4 = e0
% 174.18/27.43  | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | COMBINE_EQS: (116), (295) imply:
% 174.18/27.43  | | | | | | | | | | | | | |   (296)  all_52_8 = e0
% 174.18/27.43  | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | REDUCE: (254), (296) imply:
% 174.18/27.43  | | | | | | | | | | | | | |   (297)  $false
% 174.18/27.43  | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | CLOSE: (297) is inconsistent.
% 174.18/27.43  | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | Case 2:
% 174.18/27.43  | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | |   (298)  all_56_9 = e0
% 174.18/27.43  | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | COMBINE_EQS: (72), (298) imply:
% 174.18/27.43  | | | | | | | | | | | | | |   (299)  all_52_12 = e0
% 174.18/27.43  | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | SIMP: (299) implies:
% 174.18/27.43  | | | | | | | | | | | | | |   (300)  all_52_12 = e0
% 174.18/27.43  | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | COMBINE_EQS: (160), (300) imply:
% 174.18/27.43  | | | | | | | | | | | | | |   (301)  all_58_28 = e0
% 174.18/27.43  | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | REDUCE: (175), (300) imply:
% 174.18/27.43  | | | | | | | | | | | | | |   (302)   ~ (all_52_13 = e0)
% 174.18/27.43  | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | SIMP: (302) implies:
% 174.18/27.43  | | | | | | | | | | | | | |   (303)   ~ (all_52_13 = e0)
% 174.18/27.43  | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | REDUCE: (76), (300) imply:
% 174.18/27.43  | | | | | | | | | | | | | |   (304)   ~ (e1 = e0)
% 174.18/27.43  | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | BETA: splitting (117) gives:
% 174.18/27.43  | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | Case 1:
% 174.18/27.43  | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | |   (305)  all_56_2 = e0
% 174.18/27.43  | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | COMBINE_EQS: (104), (305) imply:
% 174.18/27.43  | | | | | | | | | | | | | | |   (306)  all_52_1 = e0
% 174.18/27.43  | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | COMBINE_EQS: (69), (306) imply:
% 174.18/27.43  | | | | | | | | | | | | | | |   (307)  all_58_17 = e0
% 174.18/27.43  | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | REDUCE: (107), (306) imply:
% 174.18/27.43  | | | | | | | | | | | | | | |   (308)   ~ (all_52_2 = e0)
% 174.18/27.43  | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | SIMP: (308) implies:
% 174.18/27.43  | | | | | | | | | | | | | | |   (309)   ~ (all_52_2 = e0)
% 174.18/27.43  | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | REDUCE: (158), (306) imply:
% 174.18/27.43  | | | | | | | | | | | | | | |   (310)   ~ (all_52_3 = e0)
% 174.18/27.43  | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | REDUCE: (87), (306) imply:
% 174.18/27.43  | | | | | | | | | | | | | | |   (311)   ~ (all_4_2 = e0)
% 174.18/27.43  | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | REDUCE: (94), (306) imply:
% 174.18/27.43  | | | | | | | | | | | | | | |   (312)  op(e2, e3) = e0
% 174.18/27.43  | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | BETA: splitting (126) gives:
% 174.18/27.43  | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | Case 1:
% 174.18/27.43  | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | |   (313)  all_56_6 = e0
% 174.18/27.43  | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | COMBINE_EQS: (133), (313) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | |   (314)  all_52_2 = e0
% 174.18/27.43  | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | REDUCE: (309), (314) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | |   (315)  $false
% 174.18/27.43  | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | CLOSE: (315) is inconsistent.
% 174.18/27.43  | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | Case 2:
% 174.18/27.43  | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | |   (316)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 174.18/27.43  | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 174.18/27.43  | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.43  | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | |   (317)  all_56_7 = e0
% 174.18/27.43  | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | COMBINE_EQS: (165), (317) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | |   (318)  all_52_6 = e0
% 174.18/27.43  | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | COMBINE_EQS: (138), (318) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | |   (319)  all_58_22 = e0
% 174.18/27.43  | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | REDUCE: (57), (318) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | |   (320)   ~ (all_52_7 = e0)
% 174.18/27.43  | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | BETA: splitting (42) gives:
% 174.18/27.43  | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | |   (321)  all_58_31 = e0
% 174.18/27.43  | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (166), (321) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | | |   (322)  e1 = e0
% 174.18/27.43  | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | REDUCE: (163), (322) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | | |   (323)  $false
% 174.18/27.43  | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | CLOSE: (323) is inconsistent.
% 174.18/27.43  | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | |   (324)   ~ (all_58_31 = e0)
% 174.18/27.43  | | | | | | | | | | | | | | | | | |   (325)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.18/27.43  | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | |   (326)  all_58_30 = e1
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (180), (326) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | |   (327)  all_14_1 = e1
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | REDUCE: (186), (327) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | |   (328)  $false
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | CLOSE: (328) is inconsistent.
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | |   (329)  all_58_28 = e3 | all_58_29 = e2
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | |   (330)  all_58_29 = e2
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (106), (330) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | |   (331)  all_52_13 = e2
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (154), (331) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | |   (332)  all_56_10 = e2
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (331) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | |   (333)   ~ (all_4_2 = e2)
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | SIMP: (333) implies:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | |   (334)   ~ (all_4_2 = e2)
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | BETA: splitting (127) gives:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | |   (335)  all_58_23 = e0
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (335) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | |   (336)  all_52_7 = e0
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | REDUCE: (243), (336) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | |   (337)  $false
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | CLOSE: (337) is inconsistent.
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | |   (338)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | |   (339)  all_58_22 = e1
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (319), (339) are inconsistent by sub-proof
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | |            #923.
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | |   (340)  all_58_20 = e3 | all_58_21 = e2
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (340) gives:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | |   (341)  all_58_21 = e2
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (153), (341) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | |   (342)  all_4_2 = e2
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (334), (342) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | |   (343)  $false
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (343) is inconsistent.
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | |   (344)  all_58_20 = e3
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | |   (345)   ~ (all_58_21 = e2)
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (121), (344) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | |   (346)  all_52_4 = e3
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (346) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | |   (347)   ~ (all_52_8 = e3)
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (347) implies:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | |   (348)   ~ (all_52_8 = e3)
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (346) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | |   (349)   ~ (all_6_2 = e3)
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (349) implies:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | |   (350)   ~ (all_6_2 = e3)
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (346) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | |   (351)   ~ (all_4_2 = e3)
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (351) implies:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | |   (352)   ~ (all_4_2 = e3)
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15) gives:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | |   (353)  all_58_19 = e0
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (71), (353) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | |   (354)  all_52_3 = e0
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (209), (354) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | |   (355)  $false
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (355) is inconsistent.
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | |   (356)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (129) gives:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | |   (357)  all_56_4 = e3
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (116), (357) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | |   (358)  all_52_8 = e3
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (348), (358) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | |   (359)  $false
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (359) is inconsistent.
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | |   (361)  all_56_5 = e3
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19), (361) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | |   (362)  all_52_9 = e3
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (155), (362) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  op(e2, e3) = all_58_6
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (356) gives:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  all_58_18 = e1
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (95), (364) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (365)  all_52_2 = e1
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (365) implies:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (366)  all_52_2 = e1
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (366) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (367)   ~ (all_6_2 = e1)
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (367) implies:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (368)   ~ (all_6_2 = e1)
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (84) gives:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (369)  all_56_0 = e2
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (59), (369) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (370)  all_6_2 = e2
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (370) implies:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (371)  all_6_2 = e2
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (371) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (372)  op(e2, e3) = all_6_1
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (149), (150), (312), (363), (372) are inconsistent
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #713.
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (373)   ~ (all_56_0 = e2)
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (59), (373) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (374)   ~ (all_6_2 = e2)
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (142), (195), (350), (368), (374) are inconsistent
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #848.
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (375)  all_58_16 = e3 | all_58_17 = e2
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (98), (157), (307), (350), (375) are inconsistent
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #814.
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | |   (376)   ~ (all_56_5 = e3)
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (77), (105), (140), (153), (173), (305),
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | |            (332), (334), (340), (344), (352), (376) are
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #647.
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | |   (377)  all_58_28 = e3
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (301), (377) are inconsistent by sub-proof
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | |            #857.
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.43  | | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | | End of split
% 174.18/27.43  | | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | End of split
% 174.18/27.43  | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | Case 2:
% 174.18/27.43  | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | |   (378)   ~ (all_56_7 = e0)
% 174.18/27.43  | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | REDUCE: (165), (378) imply:
% 174.18/27.43  | | | | | | | | | | | | | | | | |   (379)   ~ (all_52_6 = e0)
% 174.18/27.43  | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | | REF_CLOSE: (99), (108), (140), (165), (243), (285), (379) are
% 174.18/27.43  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #940.
% 174.18/27.43  | | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | | End of split
% 174.18/27.43  | | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | End of split
% 174.18/27.43  | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | Case 2:
% 174.18/27.43  | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | |   (380)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 174.18/27.43  | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | | REF_CLOSE: (19), (108), (140), (154), (255), (303), (380) are
% 174.18/27.43  | | | | | | | | | | | | | | |            inconsistent by sub-proof #695.
% 174.18/27.43  | | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | | End of split
% 174.18/27.43  | | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | | End of split
% 174.18/27.43  | | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | | End of split
% 174.18/27.43  | | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | | End of split
% 174.18/27.43  | | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | | End of split
% 174.18/27.43  | | | | | | | | | | 
% 174.18/27.43  | | | | | | | | | End of split
% 174.18/27.43  | | | | | | | | | 
% 174.18/27.43  | | | | | | | | End of split
% 174.18/27.43  | | | | | | | | 
% 174.18/27.43  | | | | | | | End of split
% 174.18/27.43  | | | | | | | 
% 174.18/27.43  | | | | | | End of split
% 174.18/27.43  | | | | | | 
% 174.18/27.43  | | | | | End of split
% 174.18/27.43  | | | | | 
% 174.18/27.43  | | | | End of split
% 174.18/27.43  | | | | 
% 174.18/27.43  | | | End of split
% 174.18/27.43  | | | 
% 174.18/27.43  | | End of split
% 174.18/27.43  | | 
% 174.18/27.43  | End of split
% 174.18/27.43  | 
% 174.18/27.43  End of proof
% 174.18/27.43  
% 174.18/27.43  Sub-proof #647 shows that the following formulas are inconsistent:
% 174.18/27.43  ----------------------------------------------------------------
% 174.18/27.43    (1)  all_56_5 = all_52_9
% 174.18/27.43    (2)   ~ (all_56_5 = e3)
% 174.18/27.43    (3)  all_56_2 = e0
% 174.18/27.43    (4)   ~ (e3 = e2)
% 174.18/27.43    (5)   ~ (e3 = e0)
% 174.18/27.43    (6)  all_56_10 = e2
% 174.18/27.43    (7)   ~ (all_4_2 = e3)
% 174.18/27.43    (8)  all_58_20 = e3
% 174.18/27.43    (9)  all_56_3 = all_4_2
% 174.18/27.43    (10)  all_58_20 = e3 | all_58_21 = e2
% 174.18/27.43    (11)  all_58_21 = all_4_2
% 174.18/27.43    (12)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.18/27.43    (13)   ~ (all_4_2 = e2)
% 174.18/27.43  
% 174.18/27.43  Begin of proof
% 174.18/27.43  | 
% 174.18/27.43  | REDUCE: (1), (2) imply:
% 174.18/27.43  |   (14)   ~ (all_52_9 = e3)
% 174.18/27.43  | 
% 174.18/27.43  | BETA: splitting (12) gives:
% 174.18/27.43  | 
% 174.18/27.43  | Case 1:
% 174.18/27.43  | | 
% 174.18/27.43  | |   (15)  all_56_2 = e3
% 174.18/27.43  | | 
% 174.18/27.43  | | COMBINE_EQS: (3), (15) imply:
% 174.18/27.43  | |   (16)  e3 = e0
% 174.18/27.43  | | 
% 174.18/27.43  | | REF_CLOSE: (5), (8), (10), (11), (13), (16) are inconsistent by sub-proof
% 174.18/27.43  | |            #649.
% 174.18/27.43  | | 
% 174.18/27.43  | Case 2:
% 174.18/27.43  | | 
% 174.18/27.43  | |   (17)  all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.18/27.43  | | 
% 174.18/27.43  | | BETA: splitting (17) gives:
% 174.18/27.43  | | 
% 174.18/27.43  | | Case 1:
% 174.18/27.43  | | | 
% 174.18/27.43  | | |   (18)  all_56_3 = e3
% 174.18/27.43  | | | 
% 174.18/27.43  | | | COMBINE_EQS: (9), (18) imply:
% 174.18/27.43  | | |   (19)  all_4_2 = e3
% 174.18/27.43  | | | 
% 174.18/27.43  | | | REDUCE: (7), (19) imply:
% 174.18/27.43  | | |   (20)  $false
% 174.18/27.43  | | | 
% 174.18/27.43  | | | CLOSE: (20) is inconsistent.
% 174.18/27.43  | | | 
% 174.18/27.43  | | Case 2:
% 174.18/27.43  | | | 
% 174.18/27.43  | | |   (21)  all_56_5 = e3 | all_56_10 = e3
% 174.18/27.43  | | | 
% 174.18/27.43  | | | REF_CLOSE: (1), (4), (6), (14), (21) are inconsistent by sub-proof #648.
% 174.18/27.43  | | | 
% 174.18/27.43  | | End of split
% 174.18/27.43  | | 
% 174.18/27.43  | End of split
% 174.18/27.43  | 
% 174.18/27.43  End of proof
% 174.18/27.43  
% 174.18/27.43  Sub-proof #648 shows that the following formulas are inconsistent:
% 174.18/27.43  ----------------------------------------------------------------
% 174.18/27.43    (1)  all_56_5 = all_52_9
% 174.18/27.43    (2)   ~ (all_52_9 = e3)
% 174.18/27.43    (3)   ~ (e3 = e2)
% 174.18/27.43    (4)  all_56_10 = e2
% 174.18/27.43    (5)  all_56_5 = e3 | all_56_10 = e3
% 174.18/27.43  
% 174.18/27.43  Begin of proof
% 174.18/27.43  | 
% 174.18/27.43  | BETA: splitting (5) gives:
% 174.18/27.43  | 
% 174.18/27.43  | Case 1:
% 174.18/27.43  | | 
% 174.18/27.43  | |   (6)  all_56_5 = e3
% 174.18/27.43  | | 
% 174.18/27.43  | | COMBINE_EQS: (1), (6) imply:
% 174.18/27.43  | |   (7)  all_52_9 = e3
% 174.18/27.43  | | 
% 174.18/27.43  | | SIMP: (7) implies:
% 174.18/27.43  | |   (8)  all_52_9 = e3
% 174.18/27.43  | | 
% 174.18/27.43  | | REDUCE: (2), (8) imply:
% 174.18/27.43  | |   (9)  $false
% 174.18/27.43  | | 
% 174.18/27.43  | | CLOSE: (9) is inconsistent.
% 174.18/27.43  | | 
% 174.18/27.43  | Case 2:
% 174.18/27.43  | | 
% 174.18/27.43  | |   (10)  all_56_10 = e3
% 174.18/27.43  | | 
% 174.18/27.43  | | COMBINE_EQS: (4), (10) imply:
% 174.18/27.43  | |   (11)  e3 = e2
% 174.18/27.43  | | 
% 174.18/27.43  | | REDUCE: (3), (11) imply:
% 174.18/27.43  | |   (12)  $false
% 174.18/27.43  | | 
% 174.18/27.43  | | CLOSE: (12) is inconsistent.
% 174.18/27.43  | | 
% 174.18/27.43  | End of split
% 174.18/27.43  | 
% 174.18/27.43  End of proof
% 174.18/27.43  
% 174.18/27.43  Sub-proof #649 shows that the following formulas are inconsistent:
% 174.18/27.43  ----------------------------------------------------------------
% 174.18/27.43    (1)   ~ (e3 = e0)
% 174.18/27.43    (2)  all_58_20 = e3
% 174.18/27.43    (3)  all_58_20 = e3 | all_58_21 = e2
% 174.18/27.43    (4)  e3 = e0
% 174.18/27.43    (5)  all_58_21 = all_4_2
% 174.18/27.43    (6)   ~ (all_4_2 = e2)
% 174.18/27.43  
% 174.18/27.43  Begin of proof
% 174.18/27.43  | 
% 174.18/27.43  | SIMP: (4) implies:
% 174.18/27.43  |   (7)  e3 = e0
% 174.18/27.43  | 
% 174.18/27.43  | COMBINE_EQS: (2), (7) imply:
% 174.18/27.43  |   (8)  all_58_20 = e0
% 174.18/27.43  | 
% 174.18/27.43  | REF_CLOSE: (1), (3), (5), (6), (8) are inconsistent by sub-proof #974.
% 174.18/27.43  | 
% 174.18/27.43  End of proof
% 174.18/27.43  
% 174.18/27.43  Sub-proof #650 shows that the following formulas are inconsistent:
% 174.18/27.43  ----------------------------------------------------------------
% 174.18/27.43    (1)  all_58_23 = all_52_7
% 174.18/27.43    (2)   ~ (all_14_1 = e1)
% 174.18/27.43    (3)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.18/27.43    (4)   ~ (all_52_12 = all_6_2)
% 174.18/27.43    (5)   ~ (all_52_6 = all_4_2)
% 174.18/27.43    (6)  all_56_11 = all_14_1
% 174.18/27.43    (7)   ~ (all_52_13 = e1)
% 174.18/27.43    (8)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.18/27.43    (9)  all_58_18 = e0
% 174.18/27.43    (10)   ~ (all_4_1 = e0)
% 174.18/27.43    (11)  op(all_4_2, e2) = all_4_1
% 174.18/27.43    (12)  all_58_17 = all_52_1
% 174.18/27.43    (13)  all_58_20 = e0
% 174.18/27.43    (14)  all_58_19 = all_52_3
% 174.18/27.43    (15)  all_56_9 = all_52_12
% 174.18/27.43    (16)   ~ (e3 = e2)
% 174.18/27.43    (17)  all_58_30 = all_14_1
% 174.18/27.43    (18)   ~ (all_52_1 = all_4_2)
% 174.18/27.43    (19)   ~ (all_14_1 = e0)
% 174.18/27.43    (20)  all_58_16 = all_6_2
% 174.18/27.43    (21)   ~ (all_52_12 = e0)
% 174.18/27.43    (22)  all_56_2 = all_52_1
% 174.18/27.43    (23)  all_58_29 = all_52_13
% 174.18/27.43    (24)  op(e3, e2) = e0
% 174.18/27.43    (25)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.18/27.43    (26)   ~ (all_52_7 = e0)
% 174.18/27.43    (27)  all_58_22 = all_52_6
% 174.18/27.43    (28)  all_56_3 = all_4_2
% 174.18/27.43    (29)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.18/27.43            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.18/27.43    (30)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 174.18/27.43    (31)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 174.18/27.43    (32)  all_58_21 = all_4_2
% 174.18/27.43    (33)  all_56_10 = all_52_13
% 174.18/27.43    (34)   ~ (all_52_3 = e0)
% 174.18/27.43    (35)   ~ (e2 = e0)
% 174.18/27.43    (36)  all_58_28 = all_52_12
% 174.18/27.43    (37)  all_58_31 = e1
% 174.18/27.43    (38)  all_54_5 = all_4_2
% 174.18/27.43    (39)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.18/27.43    (40)   ~ (all_52_12 = all_52_13)
% 174.18/27.43  
% 174.18/27.43  Begin of proof
% 174.18/27.43  | 
% 174.18/27.43  | BETA: splitting (30) gives:
% 174.18/27.43  | 
% 174.18/27.43  | Case 1:
% 174.18/27.43  | | 
% 174.18/27.43  | |   (41)  all_56_9 = e0
% 174.18/27.43  | | 
% 174.18/27.43  | | REF_CLOSE: (15), (21), (41) are inconsistent by sub-proof #908.
% 174.18/27.43  | | 
% 174.18/27.43  | Case 2:
% 174.18/27.43  | | 
% 174.18/27.43  | |   (42)  all_56_10 = e0 | all_56_11 = e0
% 174.18/27.43  | | 
% 174.18/27.43  | | BETA: splitting (42) gives:
% 174.18/27.43  | | 
% 174.18/27.43  | | Case 1:
% 174.18/27.43  | | | 
% 174.18/27.43  | | |   (43)  all_56_10 = e0
% 174.18/27.43  | | | 
% 174.18/27.43  | | | COMBINE_EQS: (33), (43) imply:
% 174.18/27.43  | | |   (44)  all_52_13 = e0
% 174.18/27.43  | | | 
% 174.18/27.43  | | | SIMP: (44) implies:
% 174.18/27.43  | | |   (45)  all_52_13 = e0
% 174.18/27.43  | | | 
% 174.18/27.43  | | | COMBINE_EQS: (23), (45) imply:
% 174.18/27.43  | | |   (46)  all_58_29 = e0
% 174.18/27.43  | | | 
% 174.18/27.43  | | | REDUCE: (7), (45) imply:
% 174.18/27.43  | | |   (47)   ~ (e1 = e0)
% 174.18/27.43  | | | 
% 174.18/27.43  | | | SIMP: (47) implies:
% 174.18/27.43  | | |   (48)   ~ (e1 = e0)
% 174.18/27.43  | | | 
% 174.18/27.43  | | | BETA: splitting (8) gives:
% 174.18/27.43  | | | 
% 174.18/27.43  | | | Case 1:
% 174.18/27.43  | | | | 
% 174.18/27.43  | | | |   (49)  all_58_31 = e0
% 174.18/27.43  | | | | 
% 174.18/27.43  | | | | COMBINE_EQS: (37), (49) imply:
% 174.18/27.43  | | | |   (50)  e1 = e0
% 174.18/27.43  | | | | 
% 174.18/27.43  | | | | REDUCE: (48), (50) imply:
% 174.18/27.43  | | | |   (51)  $false
% 174.18/27.43  | | | | 
% 174.18/27.43  | | | | CLOSE: (51) is inconsistent.
% 174.18/27.43  | | | | 
% 174.18/27.43  | | | Case 2:
% 174.18/27.43  | | | | 
% 174.18/27.43  | | | |   (52)   ~ (all_58_31 = e0)
% 174.18/27.43  | | | |   (53)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.18/27.43  | | | | 
% 174.18/27.43  | | | | BETA: splitting (53) gives:
% 174.18/27.43  | | | | 
% 174.18/27.43  | | | | Case 1:
% 174.18/27.43  | | | | | 
% 174.18/27.43  | | | | |   (54)  all_58_30 = e1
% 174.18/27.43  | | | | | 
% 174.18/27.43  | | | | | COMBINE_EQS: (17), (54) imply:
% 174.18/27.43  | | | | |   (55)  all_14_1 = e1
% 174.18/27.43  | | | | | 
% 174.18/27.43  | | | | | REDUCE: (2), (55) imply:
% 174.18/27.43  | | | | |   (56)  $false
% 174.18/27.43  | | | | | 
% 174.18/27.43  | | | | | CLOSE: (56) is inconsistent.
% 174.18/27.43  | | | | | 
% 174.18/27.43  | | | | Case 2:
% 174.18/27.43  | | | | | 
% 174.18/27.43  | | | | |   (57)  all_58_28 = e3 | all_58_29 = e2
% 174.18/27.43  | | | | | 
% 174.18/27.43  | | | | | REF_CLOSE: (1), (3), (4), (5), (9), (10), (11), (12), (13), (14),
% 174.18/27.43  | | | | |            (16), (18), (20), (21), (22), (24), (25), (26), (27), (28),
% 174.18/27.43  | | | | |            (29), (31), (32), (34), (35), (36), (38), (39), (46), (48),
% 174.18/27.43  | | | | |            (57) are inconsistent by sub-proof #887.
% 174.18/27.43  | | | | | 
% 174.18/27.43  | | | | End of split
% 174.18/27.43  | | | | 
% 174.18/27.43  | | | End of split
% 174.18/27.43  | | | 
% 174.18/27.43  | | Case 2:
% 174.18/27.43  | | | 
% 174.18/27.43  | | |   (58)  all_56_11 = e0
% 174.18/27.43  | | | 
% 174.18/27.43  | | | REF_CLOSE: (6), (19), (58) are inconsistent by sub-proof #651.
% 174.18/27.43  | | | 
% 174.18/27.43  | | End of split
% 174.18/27.43  | | 
% 174.18/27.43  | End of split
% 174.18/27.43  | 
% 174.18/27.43  End of proof
% 174.18/27.43  
% 174.18/27.43  Sub-proof #651 shows that the following formulas are inconsistent:
% 174.18/27.43  ----------------------------------------------------------------
% 174.18/27.43    (1)  all_56_11 = all_14_1
% 174.18/27.43    (2)  all_56_11 = e0
% 174.18/27.43    (3)   ~ (all_14_1 = e0)
% 174.18/27.43  
% 174.18/27.43  Begin of proof
% 174.18/27.43  | 
% 174.18/27.43  | COMBINE_EQS: (1), (2) imply:
% 174.18/27.43  |   (4)  all_14_1 = e0
% 174.18/27.43  | 
% 174.18/27.43  | SIMP: (4) implies:
% 174.18/27.43  |   (5)  all_14_1 = e0
% 174.18/27.43  | 
% 174.18/27.43  | REDUCE: (3), (5) imply:
% 174.18/27.43  |   (6)  $false
% 174.18/27.43  | 
% 174.18/27.43  | CLOSE: (6) is inconsistent.
% 174.18/27.43  | 
% 174.18/27.43  End of proof
% 174.18/27.43  
% 174.18/27.43  Sub-proof #652 shows that the following formulas are inconsistent:
% 174.18/27.43  ----------------------------------------------------------------
% 174.18/27.43    (1)  all_54_8 = all_52_2
% 174.18/27.43    (2)  all_56_1 = all_52_4
% 174.18/27.43    (3)  all_56_12 = all_52_3
% 174.18/27.43    (4)  all_56_15 = e0 | ((all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 174.18/27.43           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0))
% 174.18/27.43    (5)   ~ (all_10_2 = e0)
% 174.18/27.43    (6)   ~ (all_52_8 = all_52_12)
% 174.18/27.43    (7)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 174.18/27.43    (8)   ~ (all_52_2 = all_6_2)
% 174.18/27.43    (9)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.18/27.43    (10)  all_54_3 = all_52_12
% 174.18/27.43    (11)  all_56_5 = all_52_9
% 174.18/27.43    (12)   ~ (all_52_3 = all_52_11)
% 174.18/27.43    (13)   ~ (all_52_12 = all_6_2)
% 174.18/27.43    (14)  all_56_11 = all_14_1
% 174.18/27.43    (15)  op(all_14_1, e1) = all_14_0
% 174.18/27.43    (16)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 174.18/27.43    (17)   ~ (all_52_3 = all_52_7)
% 174.18/27.43    (18)  all_56_14 = all_52_11
% 174.18/27.43    (19)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 174.18/27.43    (20)  all_56_8 = all_10_2
% 174.18/27.43    (21)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.18/27.43    (22)  all_58_26 = all_10_2
% 174.18/27.43    (23)   ~ (all_52_3 = all_6_2)
% 174.18/27.43    (24)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 174.18/27.43    (25)   ~ (all_52_4 = e0)
% 174.18/27.43    (26)   ~ (all_52_11 = e1)
% 174.18/27.43    (27)  all_56_0 = all_6_2
% 174.18/27.43    (28)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.18/27.43    (29)  all_58_27 = all_52_11
% 174.18/27.43    (30)  all_54_14 = all_52_11
% 174.18/27.43    (31)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 174.18/27.43    (32)  all_58_17 = all_52_1
% 174.18/27.43    (33)  all_58_19 = all_52_3
% 174.18/27.43    (34)  all_56_9 = all_52_12
% 174.18/27.43    (35)   ~ (all_52_12 = e1)
% 174.18/27.43    (36)   ~ (all_52_12 = all_14_1)
% 174.18/27.43    (37)  all_58_30 = all_14_1
% 174.18/27.43    (38)   ~ (all_52_2 = e0)
% 174.18/27.43    (39)  op(e0, e1) = all_52_11
% 174.18/27.43    (40)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.18/27.43    (41)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.18/27.43    (42)   ~ (all_52_3 = e1)
% 174.18/27.43    (43)  all_58_18 = all_52_2
% 174.18/27.43    (44)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 174.18/27.43    (45)  all_58_16 = all_6_2
% 174.18/27.43    (46)  all_56_13 = all_52_7
% 174.18/27.43    (47)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 174.18/27.43    (48)  all_56_2 = all_52_1
% 174.18/27.43    (49)  all_58_29 = all_52_13
% 174.18/27.43    (50)   ~ (all_52_1 = all_52_2)
% 174.18/27.43    (51)   ~ (all_4_2 = e0)
% 174.18/27.43    (52)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 174.18/27.43    (53)  all_56_4 = all_52_8
% 174.18/27.43    (54)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 174.18/27.43    (55)   ~ (all_52_1 = all_52_13)
% 174.18/27.43    (56)   ~ (all_52_2 = all_14_1)
% 174.18/27.43    (57)   ~ (all_52_8 = all_52_11)
% 174.18/27.43    (58)  all_56_6 = all_52_2
% 174.18/27.43    (59)   ~ (all_52_1 = all_52_9)
% 174.18/27.43    (60)  all_58_24 = all_52_8
% 174.18/27.43    (61)   ~ (all_52_9 = all_52_11)
% 174.18/27.43    (62)  all_56_3 = all_4_2
% 174.18/27.43    (63)  all_54_0 = all_6_2
% 174.18/27.43    (64)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 174.18/27.43    (65)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 174.18/27.43    (66)   ~ (all_52_11 = e0)
% 174.18/27.43    (67)   ~ (all_52_2 = all_52_3)
% 174.18/27.43    (68)  all_58_25 = all_52_9
% 174.18/27.43    (69)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.18/27.43            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.18/27.43    (70)   ~ (all_52_6 = e0)
% 174.18/27.43    (71)  all_54_12 = all_52_3
% 174.18/27.44    (72)  all_56_10 = all_52_13
% 174.18/27.44    (73)   ~ (all_14_1 = all_10_2)
% 174.18/27.44    (74)   ~ (all_52_1 = all_52_3)
% 174.18/27.44    (75)  all_58_28 = all_52_12
% 174.18/27.44    (76)   ~ (e1 = e0)
% 174.18/27.44    (77)  all_56_7 = all_52_6
% 174.18/27.44    (78)  all_58_31 = e1
% 174.18/27.44    (79)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 174.18/27.44    (80)   ~ (all_52_2 = all_10_2)
% 174.18/27.44    (81)  all_56_15 = e1
% 174.18/27.44    (82)   ~ (all_52_12 = all_52_13)
% 174.18/27.44  
% 174.18/27.44  Begin of proof
% 174.18/27.44  | 
% 174.18/27.44  | BETA: splitting (7) gives:
% 174.18/27.44  | 
% 174.18/27.44  | Case 1:
% 174.18/27.44  | | 
% 174.18/27.44  | |   (83)  all_56_2 = e0
% 174.18/27.44  | | 
% 174.18/27.44  | | COMBINE_EQS: (48), (83) imply:
% 174.18/27.44  | |   (84)  all_52_1 = e0
% 174.18/27.44  | | 
% 174.18/27.44  | | COMBINE_EQS: (32), (84) imply:
% 174.18/27.44  | |   (85)  all_58_17 = e0
% 174.18/27.44  | | 
% 174.18/27.44  | | REDUCE: (50), (84) imply:
% 174.18/27.44  | |   (86)   ~ (all_52_2 = e0)
% 174.24/27.44  | | 
% 174.24/27.44  | | REDUCE: (74), (84) imply:
% 174.24/27.44  | |   (87)   ~ (all_52_3 = e0)
% 174.24/27.44  | | 
% 174.24/27.44  | | SIMP: (87) implies:
% 174.24/27.44  | |   (88)   ~ (all_52_3 = e0)
% 174.24/27.44  | | 
% 174.24/27.44  | | REDUCE: (55), (84) imply:
% 174.24/27.44  | |   (89)   ~ (all_52_13 = e0)
% 174.24/27.44  | | 
% 174.24/27.44  | | SIMP: (89) implies:
% 174.24/27.44  | |   (90)   ~ (all_52_13 = e0)
% 174.24/27.44  | | 
% 174.24/27.44  | | BETA: splitting (47) gives:
% 174.24/27.44  | | 
% 174.24/27.44  | | Case 1:
% 174.24/27.44  | | | 
% 174.24/27.44  | | |   (91)  all_56_4 = e0
% 174.24/27.44  | | | 
% 174.24/27.44  | | | COMBINE_EQS: (53), (91) imply:
% 174.24/27.44  | | |   (92)  all_52_8 = e0
% 174.24/27.44  | | | 
% 174.24/27.44  | | | COMBINE_EQS: (60), (92) imply:
% 174.24/27.44  | | |   (93)  all_58_24 = e0
% 174.24/27.44  | | | 
% 174.24/27.44  | | | REDUCE: (57), (92) imply:
% 174.24/27.44  | | |   (94)   ~ (all_52_11 = e0)
% 174.24/27.44  | | | 
% 174.24/27.44  | | | REDUCE: (6), (92) imply:
% 174.24/27.44  | | |   (95)   ~ (all_52_12 = e0)
% 174.24/27.44  | | | 
% 174.24/27.44  | | | SIMP: (95) implies:
% 174.24/27.44  | | |   (96)   ~ (all_52_12 = e0)
% 174.24/27.44  | | | 
% 174.24/27.44  | | | REF_CLOSE: (1), (3), (4), (8), (9), (10), (12), (13), (14), (15), (16),
% 174.24/27.44  | | |            (19), (21), (22), (23), (24), (26), (27), (28), (29), (30),
% 174.24/27.44  | | |            (31), (33), (34), (35), (36), (37), (39), (40), (41), (42),
% 174.24/27.44  | | |            (43), (45), (49), (52), (54), (56), (58), (61), (63), (64),
% 174.24/27.44  | | |            (65), (66), (67), (68), (69), (71), (72), (73), (75), (76),
% 174.24/27.44  | | |            (78), (79), (80), (81), (82), (83), (85), (88), (90), (93),
% 174.24/27.44  | | |            (96) are inconsistent by sub-proof #654.
% 174.24/27.44  | | | 
% 174.24/27.44  | | Case 2:
% 174.24/27.44  | | | 
% 174.24/27.44  | | |   (97)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 174.24/27.44  | | | 
% 174.24/27.44  | | | REF_CLOSE: (3), (5), (7), (11), (18), (20), (38), (48), (58), (59), (66),
% 174.24/27.44  | | |            (88), (97) are inconsistent by sub-proof #913.
% 174.24/27.44  | | | 
% 174.24/27.44  | | End of split
% 174.24/27.44  | | 
% 174.24/27.44  | Case 2:
% 174.24/27.44  | | 
% 174.24/27.44  | |   (98)  all_56_6 = e0 | all_56_12 = e0
% 174.24/27.44  | | 
% 174.24/27.44  | | REF_CLOSE: (2), (3), (17), (25), (38), (44), (46), (51), (58), (62), (70),
% 174.24/27.44  | |            (77), (98) are inconsistent by sub-proof #653.
% 174.24/27.44  | | 
% 174.24/27.44  | End of split
% 174.24/27.44  | 
% 174.24/27.44  End of proof
% 174.24/27.44  
% 174.24/27.44  Sub-proof #653 shows that the following formulas are inconsistent:
% 174.24/27.44  ----------------------------------------------------------------
% 174.24/27.44    (1)  all_56_1 = all_52_4
% 174.24/27.44    (2)  all_56_12 = all_52_3
% 174.24/27.44    (3)   ~ (all_52_3 = all_52_7)
% 174.24/27.44    (4)   ~ (all_52_4 = e0)
% 174.24/27.44    (5)   ~ (all_52_2 = e0)
% 174.24/27.44    (6)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 174.24/27.44    (7)  all_56_13 = all_52_7
% 174.24/27.44    (8)  all_56_6 = e0 | all_56_12 = e0
% 174.24/27.44    (9)   ~ (all_4_2 = e0)
% 174.24/27.44    (10)  all_56_6 = all_52_2
% 174.24/27.44    (11)  all_56_3 = all_4_2
% 174.24/27.44    (12)   ~ (all_52_6 = e0)
% 174.24/27.44    (13)  all_56_7 = all_52_6
% 174.24/27.44  
% 174.24/27.44  Begin of proof
% 174.24/27.44  | 
% 174.24/27.44  | BETA: splitting (6) gives:
% 174.24/27.44  | 
% 174.24/27.44  | Case 1:
% 174.24/27.44  | | 
% 174.24/27.44  | |   (14)  all_56_1 = e0
% 174.24/27.44  | | 
% 174.24/27.44  | | COMBINE_EQS: (1), (14) imply:
% 174.24/27.44  | |   (15)  all_52_4 = e0
% 174.24/27.44  | | 
% 174.24/27.44  | | REDUCE: (4), (15) imply:
% 174.24/27.44  | |   (16)  $false
% 174.24/27.44  | | 
% 174.24/27.44  | | CLOSE: (16) is inconsistent.
% 174.24/27.44  | | 
% 174.24/27.44  | Case 2:
% 174.24/27.44  | | 
% 174.24/27.44  | |   (17)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 174.24/27.44  | | 
% 174.24/27.44  | | BETA: splitting (8) gives:
% 174.24/27.44  | | 
% 174.24/27.44  | | Case 1:
% 174.24/27.44  | | | 
% 174.24/27.44  | | |   (18)  all_56_6 = e0
% 174.24/27.44  | | | 
% 174.24/27.44  | | | COMBINE_EQS: (10), (18) imply:
% 174.24/27.44  | | |   (19)  all_52_2 = e0
% 174.24/27.44  | | | 
% 174.24/27.44  | | | REDUCE: (5), (19) imply:
% 174.24/27.44  | | |   (20)  $false
% 174.24/27.44  | | | 
% 174.24/27.44  | | | CLOSE: (20) is inconsistent.
% 174.24/27.44  | | | 
% 174.24/27.44  | | Case 2:
% 174.24/27.44  | | | 
% 174.24/27.44  | | |   (21)  all_56_12 = e0
% 174.24/27.44  | | | 
% 174.24/27.44  | | | COMBINE_EQS: (2), (21) imply:
% 174.24/27.44  | | |   (22)  all_52_3 = e0
% 174.24/27.44  | | | 
% 174.24/27.44  | | | SIMP: (22) implies:
% 174.24/27.44  | | |   (23)  all_52_3 = e0
% 174.24/27.44  | | | 
% 174.24/27.44  | | | REDUCE: (3), (23) imply:
% 174.24/27.44  | | |   (24)   ~ (all_52_7 = e0)
% 174.24/27.44  | | | 
% 174.24/27.44  | | | SIMP: (24) implies:
% 174.24/27.44  | | |   (25)   ~ (all_52_7 = e0)
% 174.24/27.44  | | | 
% 174.24/27.44  | | | REF_CLOSE: (7), (9), (11), (12), (13), (17), (25) are inconsistent by
% 174.24/27.44  | | |            sub-proof #940.
% 174.24/27.44  | | | 
% 174.24/27.44  | | End of split
% 174.24/27.44  | | 
% 174.24/27.44  | End of split
% 174.24/27.44  | 
% 174.24/27.44  End of proof
% 174.24/27.44  
% 174.24/27.44  Sub-proof #654 shows that the following formulas are inconsistent:
% 174.24/27.44  ----------------------------------------------------------------
% 174.24/27.44    (1)  all_54_8 = all_52_2
% 174.24/27.44    (2)  all_56_12 = all_52_3
% 174.24/27.44    (3)  all_56_15 = e0 | ((all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) &
% 174.24/27.44           (all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0))
% 174.24/27.44    (4)   ~ (all_52_2 = all_6_2)
% 174.24/27.44    (5)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.24/27.44    (6)  all_54_3 = all_52_12
% 174.24/27.44    (7)   ~ (all_52_3 = all_52_11)
% 174.24/27.44    (8)   ~ (all_52_12 = all_6_2)
% 174.24/27.44    (9)  all_56_11 = all_14_1
% 174.24/27.44    (10)  op(all_14_1, e1) = all_14_0
% 174.24/27.44    (11)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 174.24/27.44    (12)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 174.24/27.44    (13)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.24/27.44    (14)  all_58_26 = all_10_2
% 174.24/27.44    (15)   ~ (all_52_3 = all_6_2)
% 174.24/27.44    (16)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 174.24/27.44    (17)   ~ (all_52_11 = e1)
% 174.24/27.44    (18)  all_56_0 = all_6_2
% 174.24/27.44    (19)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.24/27.44    (20)  all_58_27 = all_52_11
% 174.24/27.44    (21)  all_54_14 = all_52_11
% 174.24/27.44    (22)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 174.24/27.44    (23)  all_58_19 = all_52_3
% 174.24/27.44    (24)  all_56_9 = all_52_12
% 174.24/27.44    (25)  all_56_2 = e0
% 174.24/27.44    (26)   ~ (all_52_12 = e1)
% 174.24/27.44    (27)   ~ (all_52_12 = all_14_1)
% 174.24/27.44    (28)  all_58_30 = all_14_1
% 174.24/27.44    (29)  op(e0, e1) = all_52_11
% 174.24/27.44    (30)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.24/27.44    (31)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.24/27.44    (32)   ~ (all_52_3 = e1)
% 174.24/27.44    (33)  all_58_18 = all_52_2
% 174.24/27.44    (34)  all_58_16 = all_6_2
% 174.24/27.44    (35)   ~ (all_52_12 = e0)
% 174.24/27.44    (36)  all_58_29 = all_52_13
% 174.24/27.44    (37)   ~ (all_52_13 = e0)
% 174.24/27.44    (38)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 174.24/27.44    (39)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 174.24/27.44    (40)  all_58_17 = e0
% 174.24/27.44    (41)   ~ (all_52_2 = all_14_1)
% 174.24/27.44    (42)  all_56_6 = all_52_2
% 174.24/27.44    (43)   ~ (all_52_9 = all_52_11)
% 174.24/27.44    (44)  all_54_0 = all_6_2
% 174.24/27.44    (45)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 174.24/27.44    (46)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 174.24/27.44    (47)  all_58_24 = e0
% 174.24/27.44    (48)   ~ (all_52_11 = e0)
% 174.24/27.44    (49)   ~ (all_52_2 = all_52_3)
% 174.24/27.44    (50)  all_58_25 = all_52_9
% 174.24/27.44    (51)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.24/27.44            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.24/27.44    (52)  all_54_12 = all_52_3
% 174.24/27.44    (53)  all_56_10 = all_52_13
% 174.24/27.44    (54)   ~ (all_52_3 = e0)
% 174.24/27.44    (55)   ~ (all_14_1 = all_10_2)
% 174.24/27.44    (56)  all_58_28 = all_52_12
% 174.24/27.44    (57)   ~ (e1 = e0)
% 174.24/27.44    (58)  all_58_31 = e1
% 174.24/27.44    (59)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 174.24/27.44    (60)   ~ (all_52_2 = all_10_2)
% 174.24/27.44    (61)  all_56_15 = e1
% 174.24/27.44    (62)   ~ (all_52_12 = all_52_13)
% 174.24/27.44  
% 174.24/27.44  Begin of proof
% 174.24/27.44  | 
% 174.24/27.44  | BETA: splitting (3) gives:
% 174.24/27.44  | 
% 174.24/27.44  | Case 1:
% 174.24/27.44  | | 
% 174.24/27.44  | |   (63)  all_56_15 = e0
% 174.24/27.44  | | 
% 174.24/27.44  | | REF_CLOSE: (57), (61), (63) are inconsistent by sub-proof #657.
% 174.24/27.44  | | 
% 174.24/27.44  | Case 2:
% 174.24/27.44  | | 
% 174.24/27.44  | |   (64)  (all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0) & (all_56_12 = e0
% 174.24/27.44  | |           | all_56_13 = e0 | all_56_14 = e0)
% 174.24/27.44  | | 
% 174.24/27.44  | | ALPHA: (64) implies:
% 174.24/27.44  | |   (65)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 174.24/27.44  | | 
% 174.24/27.44  | | BETA: splitting (65) gives:
% 174.24/27.44  | | 
% 174.24/27.44  | | Case 1:
% 174.24/27.44  | | | 
% 174.24/27.44  | | |   (66)  all_56_9 = e0
% 174.24/27.44  | | | 
% 174.24/27.44  | | | COMBINE_EQS: (24), (66) imply:
% 174.24/27.44  | | |   (67)  all_52_12 = e0
% 174.24/27.44  | | | 
% 174.24/27.44  | | | REDUCE: (35), (67) imply:
% 174.24/27.44  | | |   (68)  $false
% 174.24/27.44  | | | 
% 174.24/27.44  | | | CLOSE: (68) is inconsistent.
% 174.24/27.44  | | | 
% 174.24/27.44  | | Case 2:
% 174.24/27.44  | | | 
% 174.24/27.44  | | |   (69)  all_56_10 = e0 | all_56_11 = e0
% 174.24/27.44  | | | 
% 174.24/27.44  | | | BETA: splitting (69) gives:
% 174.24/27.44  | | | 
% 174.24/27.44  | | | Case 1:
% 174.24/27.44  | | | | 
% 174.24/27.44  | | | |   (70)  all_56_10 = e0
% 174.24/27.44  | | | | 
% 174.24/27.44  | | | | REF_CLOSE: (37), (53), (70) are inconsistent by sub-proof #943.
% 174.24/27.44  | | | | 
% 174.24/27.44  | | | Case 2:
% 174.24/27.44  | | | | 
% 174.24/27.44  | | | |   (71)  all_56_11 = e0
% 174.24/27.44  | | | | 
% 174.24/27.44  | | | | COMBINE_EQS: (9), (71) imply:
% 174.24/27.44  | | | |   (72)  all_14_1 = e0
% 174.24/27.44  | | | | 
% 174.24/27.44  | | | | SIMP: (72) implies:
% 174.24/27.44  | | | |   (73)  all_14_1 = e0
% 174.24/27.44  | | | | 
% 174.24/27.44  | | | | COMBINE_EQS: (28), (73) imply:
% 174.24/27.44  | | | |   (74)  all_58_30 = e0
% 174.24/27.44  | | | | 
% 174.24/27.44  | | | | REDUCE: (41), (73) imply:
% 174.24/27.44  | | | |   (75)   ~ (all_52_2 = e0)
% 174.24/27.44  | | | | 
% 174.24/27.44  | | | | REDUCE: (55), (73) imply:
% 174.24/27.44  | | | |   (76)   ~ (all_10_2 = e0)
% 174.24/27.44  | | | | 
% 174.24/27.44  | | | | SIMP: (76) implies:
% 174.24/27.44  | | | |   (77)   ~ (all_10_2 = e0)
% 174.24/27.44  | | | | 
% 174.24/27.44  | | | | REDUCE: (10), (73) imply:
% 174.24/27.44  | | | |   (78)  op(e0, e1) = all_14_0
% 174.24/27.44  | | | | 
% 174.24/27.44  | | | | GROUND_INST: instantiating (51) with all_52_11, all_14_0, e1, e0,
% 174.24/27.44  | | | |              simplifying with (29), (78) gives:
% 174.24/27.44  | | | |   (79)  all_52_11 = all_14_0
% 174.24/27.44  | | | | 
% 174.24/27.44  | | | | COMBINE_EQS: (21), (79) imply:
% 174.24/27.44  | | | |   (80)  all_54_14 = all_14_0
% 174.24/27.44  | | | | 
% 174.24/27.44  | | | | COMBINE_EQS: (20), (79) imply:
% 174.24/27.44  | | | |   (81)  all_58_27 = all_14_0
% 174.24/27.44  | | | | 
% 174.24/27.44  | | | | REDUCE: (7), (79) imply:
% 174.24/27.44  | | | |   (82)   ~ (all_52_3 = all_14_0)
% 174.24/27.44  | | | | 
% 174.24/27.44  | | | | REDUCE: (43), (79) imply:
% 174.24/27.44  | | | |   (83)   ~ (all_52_9 = all_14_0)
% 174.24/27.44  | | | | 
% 174.24/27.44  | | | | REDUCE: (17), (79) imply:
% 174.24/27.44  | | | |   (84)   ~ (all_14_0 = e1)
% 174.24/27.44  | | | | 
% 174.24/27.44  | | | | REDUCE: (48), (79) imply:
% 174.24/27.44  | | | |   (85)   ~ (all_14_0 = e0)
% 174.24/27.44  | | | | 
% 174.24/27.44  | | | | BETA: splitting (11) gives:
% 174.24/27.44  | | | | 
% 174.24/27.44  | | | | Case 1:
% 174.24/27.44  | | | | | 
% 174.24/27.44  | | | | |   (86)  all_54_3 = e0
% 174.24/27.44  | | | | | 
% 174.24/27.44  | | | | | REF_CLOSE: (6), (35), (86) are inconsistent by sub-proof #898.
% 174.24/27.44  | | | | | 
% 174.24/27.44  | | | | Case 2:
% 174.24/27.44  | | | | | 
% 174.24/27.44  | | | | |   (87)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 174.24/27.44  | | | | | 
% 174.24/27.44  | | | | | BETA: splitting (39) gives:
% 174.24/27.44  | | | | | 
% 174.24/27.44  | | | | | Case 1:
% 174.24/27.44  | | | | | | 
% 174.24/27.44  | | | | | |   (88)  all_56_12 = e3
% 174.24/27.44  | | | | | | 
% 174.24/27.44  | | | | | | COMBINE_EQS: (2), (88) imply:
% 174.24/27.44  | | | | | |   (89)  all_52_3 = e3
% 174.24/27.44  | | | | | | 
% 174.24/27.44  | | | | | | SIMP: (89) implies:
% 174.24/27.44  | | | | | |   (90)  all_52_3 = e3
% 174.24/27.44  | | | | | | 
% 174.24/27.44  | | | | | | COMBINE_EQS: (23), (90) imply:
% 174.24/27.44  | | | | | |   (91)  all_58_19 = e3
% 174.24/27.44  | | | | | | 
% 174.24/27.44  | | | | | | REDUCE: (82), (90) imply:
% 174.24/27.44  | | | | | |   (92)   ~ (all_14_0 = e3)
% 174.24/27.44  | | | | | | 
% 174.24/27.44  | | | | | | SIMP: (92) implies:
% 174.24/27.44  | | | | | |   (93)   ~ (all_14_0 = e3)
% 174.24/27.44  | | | | | | 
% 174.24/27.44  | | | | | | REDUCE: (32), (90) imply:
% 174.24/27.44  | | | | | |   (94)   ~ (e3 = e1)
% 174.24/27.44  | | | | | | 
% 174.24/27.44  | | | | | | REDUCE: (54), (90) imply:
% 174.24/27.44  | | | | | |   (95)   ~ (e3 = e0)
% 174.24/27.44  | | | | | | 
% 174.24/27.44  | | | | | | BETA: splitting (46) gives:
% 174.24/27.44  | | | | | | 
% 174.24/27.44  | | | | | | Case 1:
% 174.24/27.44  | | | | | | | 
% 174.24/27.44  | | | | | | |   (96)  all_54_14 = e1
% 174.24/27.44  | | | | | | | 
% 174.24/27.44  | | | | | | | COMBINE_EQS: (80), (96) imply:
% 174.24/27.44  | | | | | | |   (97)  all_14_0 = e1
% 174.24/27.44  | | | | | | | 
% 174.24/27.44  | | | | | | | REDUCE: (84), (97) imply:
% 174.24/27.44  | | | | | | |   (98)  $false
% 174.24/27.44  | | | | | | | 
% 174.24/27.44  | | | | | | | CLOSE: (98) is inconsistent.
% 174.24/27.44  | | | | | | | 
% 174.24/27.44  | | | | | | Case 2:
% 174.24/27.44  | | | | | | | 
% 174.24/27.44  | | | | | | |   (99)  all_54_14 = e3 | all_54_14 = e2
% 174.24/27.44  | | | | | | | 
% 174.24/27.44  | | | | | | | BETA: splitting (99) gives:
% 174.24/27.44  | | | | | | | 
% 174.24/27.44  | | | | | | | Case 1:
% 174.24/27.44  | | | | | | | | 
% 174.24/27.44  | | | | | | | |   (100)  all_54_14 = e2
% 174.24/27.44  | | | | | | | | 
% 174.24/27.44  | | | | | | | | COMBINE_EQS: (80), (100) imply:
% 174.24/27.44  | | | | | | | |   (101)  all_14_0 = e2
% 174.24/27.44  | | | | | | | | 
% 174.24/27.44  | | | | | | | | COMBINE_EQS: (81), (101) imply:
% 174.24/27.44  | | | | | | | |   (102)  all_58_27 = e2
% 174.24/27.44  | | | | | | | | 
% 174.24/27.44  | | | | | | | | REDUCE: (83), (101) imply:
% 174.24/27.44  | | | | | | | |   (103)   ~ (all_52_9 = e2)
% 174.24/27.44  | | | | | | | | 
% 174.24/27.44  | | | | | | | | REDUCE: (85), (101) imply:
% 174.24/27.44  | | | | | | | |   (104)   ~ (e2 = e0)
% 174.24/27.44  | | | | | | | | 
% 174.24/27.44  | | | | | | | | BETA: splitting (5) gives:
% 174.24/27.44  | | | | | | | | 
% 174.24/27.44  | | | | | | | | Case 1:
% 174.24/27.44  | | | | | | | | | 
% 174.24/27.44  | | | | | | | | |   (105)  all_58_19 = e0
% 174.24/27.44  | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | COMBINE_EQS: (91), (105) imply:
% 174.24/27.44  | | | | | | | | |   (106)  e3 = e0
% 174.24/27.44  | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | REDUCE: (95), (106) imply:
% 174.24/27.44  | | | | | | | | |   (107)  $false
% 174.24/27.44  | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | CLOSE: (107) is inconsistent.
% 174.24/27.44  | | | | | | | | | 
% 174.24/27.44  | | | | | | | | Case 2:
% 174.24/27.44  | | | | | | | | | 
% 174.24/27.44  | | | | | | | | |   (108)   ~ (all_58_19 = e0)
% 174.24/27.44  | | | | | | | | |   (109)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.24/27.44  | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | BETA: splitting (19) gives:
% 174.24/27.44  | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | Case 1:
% 174.24/27.44  | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | |   (110)  all_58_27 = e0
% 174.24/27.44  | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | COMBINE_EQS: (102), (110) imply:
% 174.24/27.44  | | | | | | | | | |   (111)  e2 = e0
% 174.24/27.44  | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | REDUCE: (104), (111) imply:
% 174.24/27.44  | | | | | | | | | |   (112)  $false
% 174.24/27.44  | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | CLOSE: (112) is inconsistent.
% 174.24/27.44  | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | Case 2:
% 174.24/27.44  | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | |   (113)   ~ (all_58_27 = e0)
% 174.24/27.44  | | | | | | | | | |   (114)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.24/27.44  | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | REF_CLOSE: (2), (14), (18), (25), (31), (32), (33), (34),
% 174.24/27.44  | | | | | | | | | |            (40), (42), (47), (50), (60), (77), (94), (95),
% 174.24/27.44  | | | | | | | | | |            (103), (104), (109), (114) are inconsistent by
% 174.24/27.44  | | | | | | | | | |            sub-proof #656.
% 174.24/27.44  | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | End of split
% 174.24/27.44  | | | | | | | | | 
% 174.24/27.44  | | | | | | | | End of split
% 174.24/27.44  | | | | | | | | 
% 174.24/27.44  | | | | | | | Case 2:
% 174.24/27.44  | | | | | | | | 
% 174.24/27.44  | | | | | | | |   (115)  all_54_14 = e3
% 174.24/27.44  | | | | | | | | 
% 174.24/27.44  | | | | | | | | COMBINE_EQS: (80), (115) imply:
% 174.24/27.44  | | | | | | | |   (116)  all_14_0 = e3
% 174.24/27.44  | | | | | | | | 
% 174.24/27.44  | | | | | | | | REDUCE: (93), (116) imply:
% 174.24/27.44  | | | | | | | |   (117)  $false
% 174.24/27.44  | | | | | | | | 
% 174.24/27.44  | | | | | | | | CLOSE: (117) is inconsistent.
% 174.24/27.44  | | | | | | | | 
% 174.24/27.44  | | | | | | | End of split
% 174.24/27.44  | | | | | | | 
% 174.24/27.44  | | | | | | End of split
% 174.24/27.44  | | | | | | 
% 174.24/27.44  | | | | | Case 2:
% 174.24/27.44  | | | | | | 
% 174.24/27.44  | | | | | |   (118)   ~ (all_56_12 = e3)
% 174.24/27.44  | | | | | | 
% 174.24/27.44  | | | | | | REDUCE: (2), (118) imply:
% 174.24/27.44  | | | | | |   (119)   ~ (all_52_3 = e3)
% 174.24/27.44  | | | | | | 
% 174.24/27.44  | | | | | | BETA: splitting (59) gives:
% 174.24/27.44  | | | | | | 
% 174.24/27.44  | | | | | | Case 1:
% 174.24/27.44  | | | | | | | 
% 174.24/27.44  | | | | | | |   (120)  all_56_12 = e2
% 174.24/27.44  | | | | | | | 
% 174.24/27.44  | | | | | | | COMBINE_EQS: (2), (120) imply:
% 174.24/27.44  | | | | | | |   (121)  all_52_3 = e2
% 174.24/27.44  | | | | | | | 
% 174.24/27.44  | | | | | | | SIMP: (121) implies:
% 174.24/27.44  | | | | | | |   (122)  all_52_3 = e2
% 174.24/27.44  | | | | | | | 
% 174.24/27.44  | | | | | | | COMBINE_EQS: (23), (122) imply:
% 174.24/27.44  | | | | | | |   (123)  all_58_19 = e2
% 174.24/27.44  | | | | | | | 
% 174.24/27.44  | | | | | | | REDUCE: (49), (122) imply:
% 174.24/27.44  | | | | | | |   (124)   ~ (all_52_2 = e2)
% 174.24/27.44  | | | | | | | 
% 174.24/27.44  | | | | | | | REDUCE: (54), (122) imply:
% 174.24/27.44  | | | | | | |   (125)   ~ (e2 = e0)
% 174.24/27.44  | | | | | | | 
% 174.24/27.44  | | | | | | | BETA: splitting (38) gives:
% 174.24/27.44  | | | | | | | 
% 174.24/27.44  | | | | | | | Case 1:
% 174.24/27.44  | | | | | | | | 
% 174.24/27.44  | | | | | | | |   (126)  all_54_8 = e0
% 174.24/27.44  | | | | | | | | 
% 174.24/27.44  | | | | | | | | REF_CLOSE: (1), (75), (126) are inconsistent by sub-proof #839.
% 174.24/27.44  | | | | | | | | 
% 174.24/27.44  | | | | | | | Case 2:
% 174.24/27.44  | | | | | | | | 
% 174.24/27.44  | | | | | | | |   (127)   ~ (all_54_8 = e0)
% 174.24/27.44  | | | | | | | |   (128)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 174.24/27.44  | | | | | | | | 
% 174.24/27.44  | | | | | | | | BETA: splitting (16) gives:
% 174.24/27.44  | | | | | | | | 
% 174.24/27.44  | | | | | | | | Case 1:
% 174.24/27.44  | | | | | | | | | 
% 174.24/27.44  | | | | | | | | |   (129)  all_56_6 = e3
% 174.24/27.44  | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | COMBINE_EQS: (42), (129) imply:
% 174.24/27.44  | | | | | | | | |   (130)  all_52_2 = e3
% 174.24/27.44  | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | SIMP: (130) implies:
% 174.24/27.44  | | | | | | | | |   (131)  all_52_2 = e3
% 174.24/27.44  | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | REDUCE: (4), (131) imply:
% 174.24/27.44  | | | | | | | | |   (132)   ~ (all_6_2 = e3)
% 174.24/27.44  | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | SIMP: (132) implies:
% 174.24/27.44  | | | | | | | | |   (133)   ~ (all_6_2 = e3)
% 174.24/27.44  | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | BETA: splitting (5) gives:
% 174.24/27.44  | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | Case 1:
% 174.24/27.44  | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | |   (134)  all_58_19 = e0
% 174.24/27.44  | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | COMBINE_EQS: (123), (134) imply:
% 174.24/27.44  | | | | | | | | | |   (135)  e2 = e0
% 174.24/27.44  | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | REDUCE: (125), (135) imply:
% 174.24/27.44  | | | | | | | | | |   (136)  $false
% 174.24/27.44  | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | CLOSE: (136) is inconsistent.
% 174.24/27.44  | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | Case 2:
% 174.24/27.44  | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | |   (137)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.24/27.44  | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | REF_CLOSE: (4), (15), (30), (33), (34), (40), (44), (45),
% 174.24/27.44  | | | | | | | | | |            (49), (52), (119), (125), (133), (137) are
% 174.24/27.44  | | | | | | | | | |            inconsistent by sub-proof #806.
% 174.24/27.44  | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | End of split
% 174.24/27.44  | | | | | | | | | 
% 174.24/27.44  | | | | | | | | Case 2:
% 174.24/27.44  | | | | | | | | | 
% 174.24/27.44  | | | | | | | | |   (138)   ~ (all_56_6 = e3)
% 174.24/27.44  | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | REDUCE: (42), (138) imply:
% 174.24/27.44  | | | | | | | | |   (139)   ~ (all_52_2 = e3)
% 174.24/27.44  | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | BETA: splitting (22) gives:
% 174.24/27.44  | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | Case 1:
% 174.24/27.44  | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | |   (140)  all_56_6 = e1
% 174.24/27.44  | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | COMBINE_EQS: (42), (140) imply:
% 174.24/27.44  | | | | | | | | | |   (141)  all_52_2 = e1
% 174.24/27.44  | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | SIMP: (141) implies:
% 174.24/27.44  | | | | | | | | | |   (142)  all_52_2 = e1
% 174.24/27.44  | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | REDUCE: (4), (142) imply:
% 174.24/27.44  | | | | | | | | | |   (143)   ~ (all_6_2 = e1)
% 174.24/27.44  | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | SIMP: (143) implies:
% 174.24/27.44  | | | | | | | | | |   (144)   ~ (all_6_2 = e1)
% 174.24/27.44  | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | BETA: splitting (30) gives:
% 174.24/27.44  | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | Case 1:
% 174.24/27.44  | | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | |   (145)  all_54_0 = e1
% 174.24/27.44  | | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | | REF_CLOSE: (44), (144), (145) are inconsistent by sub-proof
% 174.24/27.44  | | | | | | | | | | |            #951.
% 174.24/27.44  | | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | Case 2:
% 174.24/27.44  | | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | |   (146)  all_54_0 = e3 | all_54_0 = e2
% 174.24/27.44  | | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | | BETA: splitting (12) gives:
% 174.24/27.44  | | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | | Case 1:
% 174.24/27.44  | | | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | | |   (147)  all_56_0 = e3
% 174.24/27.44  | | | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | | | COMBINE_EQS: (18), (147) imply:
% 174.24/27.44  | | | | | | | | | | | |   (148)  all_6_2 = e3
% 174.24/27.44  | | | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | | | REDUCE: (8), (148) imply:
% 174.24/27.44  | | | | | | | | | | | |   (149)   ~ (all_52_12 = e3)
% 174.24/27.44  | | | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | | | REF_CLOSE: (6), (13), (26), (36), (56), (57), (58), (62),
% 174.24/27.44  | | | | | | | | | | | |            (74), (87), (149) are inconsistent by sub-proof
% 174.24/27.44  | | | | | | | | | | | |            #655.
% 174.24/27.44  | | | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | | Case 2:
% 174.24/27.44  | | | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | | |   (150)   ~ (all_56_0 = e3)
% 174.24/27.44  | | | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | | | REDUCE: (18), (150) imply:
% 174.24/27.44  | | | | | | | | | | | |   (151)   ~ (all_6_2 = e3)
% 174.24/27.44  | | | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | | | REF_CLOSE: (15), (32), (44), (45), (52), (119), (146), (151)
% 174.24/27.44  | | | | | | | | | | | |            are inconsistent by sub-proof #808.
% 174.24/27.44  | | | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | | End of split
% 174.24/27.44  | | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | End of split
% 174.24/27.44  | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | Case 2:
% 174.24/27.44  | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | |   (152)   ~ (all_56_6 = e1)
% 174.24/27.44  | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | REDUCE: (42), (152) imply:
% 174.24/27.44  | | | | | | | | | |   (153)   ~ (all_52_2 = e1)
% 174.24/27.44  | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | | REF_CLOSE: (1), (124), (128), (139), (153) are inconsistent
% 174.24/27.44  | | | | | | | | | |            by sub-proof #670.
% 174.24/27.44  | | | | | | | | | | 
% 174.24/27.44  | | | | | | | | | End of split
% 174.24/27.44  | | | | | | | | | 
% 174.24/27.44  | | | | | | | | End of split
% 174.24/27.44  | | | | | | | | 
% 174.24/27.44  | | | | | | | End of split
% 174.24/27.44  | | | | | | | 
% 174.24/27.44  | | | | | | Case 2:
% 174.24/27.44  | | | | | | | 
% 174.24/27.44  | | | | | | |   (154)   ~ (all_56_12 = e2)
% 174.24/27.44  | | | | | | | 
% 174.24/27.44  | | | | | | | REDUCE: (2), (154) imply:
% 174.24/27.44  | | | | | | |   (155)   ~ (all_52_3 = e2)
% 174.24/27.44  | | | | | | | 
% 174.24/27.44  | | | | | | | REF_CLOSE: (32), (45), (52), (119), (155) are inconsistent by
% 174.24/27.44  | | | | | | |            sub-proof #809.
% 174.24/27.44  | | | | | | | 
% 174.24/27.44  | | | | | | End of split
% 174.24/27.44  | | | | | | 
% 174.24/27.44  | | | | | End of split
% 174.24/27.44  | | | | | 
% 174.24/27.44  | | | | End of split
% 174.24/27.44  | | | | 
% 174.24/27.44  | | | End of split
% 174.24/27.44  | | | 
% 174.24/27.44  | | End of split
% 174.24/27.44  | | 
% 174.24/27.44  | End of split
% 174.24/27.44  | 
% 174.24/27.44  End of proof
% 174.24/27.44  
% 174.24/27.44  Sub-proof #655 shows that the following formulas are inconsistent:
% 174.24/27.44  ----------------------------------------------------------------
% 174.24/27.44    (1)  all_54_3 = all_52_12
% 174.24/27.44    (2)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.24/27.44    (3)  all_58_30 = e0
% 174.24/27.44    (4)   ~ (all_52_12 = e3)
% 174.24/27.44    (5)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 174.24/27.44    (6)   ~ (all_52_12 = e1)
% 174.24/27.44    (7)  all_58_29 = all_52_13
% 174.24/27.44    (8)  all_58_28 = all_52_12
% 174.24/27.44    (9)   ~ (e1 = e0)
% 174.24/27.44    (10)  all_58_31 = e1
% 174.24/27.44    (11)   ~ (all_52_12 = all_52_13)
% 174.24/27.44  
% 174.24/27.44  Begin of proof
% 174.24/27.44  | 
% 174.24/27.44  | BETA: splitting (2) gives:
% 174.24/27.44  | 
% 174.24/27.44  | Case 1:
% 174.24/27.44  | | 
% 174.24/27.44  | |   (12)  all_58_31 = e0
% 174.24/27.44  | | 
% 174.24/27.44  | | COMBINE_EQS: (10), (12) imply:
% 174.24/27.44  | |   (13)  e1 = e0
% 174.24/27.44  | | 
% 174.24/27.44  | | REDUCE: (9), (13) imply:
% 174.24/27.44  | |   (14)  $false
% 174.24/27.44  | | 
% 174.24/27.44  | | CLOSE: (14) is inconsistent.
% 174.24/27.44  | | 
% 174.24/27.44  | Case 2:
% 174.24/27.44  | | 
% 174.24/27.44  | |   (15)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.24/27.44  | | 
% 174.24/27.44  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (11), (15) are
% 174.24/27.44  | |            inconsistent by sub-proof #755.
% 174.24/27.44  | | 
% 174.24/27.44  | End of split
% 174.24/27.44  | 
% 174.24/27.44  End of proof
% 174.24/27.44  
% 174.24/27.44  Sub-proof #656 shows that the following formulas are inconsistent:
% 174.24/27.44  ----------------------------------------------------------------
% 174.24/27.44    (1)  all_56_12 = all_52_3
% 174.24/27.44    (2)   ~ (all_10_2 = e0)
% 174.24/27.44    (3)   ~ (e3 = e1)
% 174.24/27.44    (4)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.24/27.44    (5)  all_58_26 = all_10_2
% 174.24/27.44    (6)  all_56_0 = all_6_2
% 174.24/27.44    (7)   ~ (all_52_9 = e2)
% 174.24/27.44    (8)  all_56_2 = e0
% 174.24/27.44    (9)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.24/27.44    (10)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.24/27.44    (11)   ~ (all_52_3 = e1)
% 174.24/27.44    (12)  all_58_18 = all_52_2
% 174.24/27.44    (13)  all_58_16 = all_6_2
% 174.24/27.44    (14)   ~ (e3 = e0)
% 174.24/27.44    (15)  all_58_17 = e0
% 174.24/27.44    (16)  all_56_6 = all_52_2
% 174.24/27.44    (17)  all_58_24 = e0
% 174.24/27.44    (18)  all_58_25 = all_52_9
% 174.24/27.44    (19)   ~ (e2 = e0)
% 174.24/27.44    (20)   ~ (all_52_2 = all_10_2)
% 174.24/27.44  
% 174.24/27.44  Begin of proof
% 174.24/27.44  | 
% 174.24/27.44  | BETA: splitting (9) gives:
% 174.24/27.44  | 
% 174.24/27.44  | Case 1:
% 174.24/27.44  | | 
% 174.24/27.44  | |   (21)  all_58_26 = e1
% 174.24/27.44  | | 
% 174.24/27.44  | | COMBINE_EQS: (5), (21) imply:
% 174.24/27.44  | |   (22)  all_10_2 = e1
% 174.24/27.44  | | 
% 174.24/27.44  | | REDUCE: (20), (22) imply:
% 174.24/27.44  | |   (23)   ~ (all_52_2 = e1)
% 174.24/27.44  | | 
% 174.24/27.44  | | REDUCE: (2), (22) imply:
% 174.24/27.44  | |   (24)   ~ (e1 = e0)
% 174.24/27.44  | | 
% 174.24/27.44  | | REF_CLOSE: (1), (3), (4), (6), (8), (10), (11), (12), (13), (15), (16),
% 174.24/27.44  | |            (19), (23), (24) are inconsistent by sub-proof #702.
% 174.24/27.44  | | 
% 174.24/27.44  | Case 2:
% 174.24/27.44  | | 
% 174.24/27.44  | |   (25)  all_58_24 = e3 | all_58_25 = e2
% 174.24/27.44  | | 
% 174.24/27.44  | | REF_CLOSE: (7), (14), (17), (18), (25) are inconsistent by sub-proof #921.
% 174.24/27.44  | | 
% 174.24/27.44  | End of split
% 174.24/27.44  | 
% 174.24/27.44  End of proof
% 174.24/27.44  
% 174.24/27.44  Sub-proof #657 shows that the following formulas are inconsistent:
% 174.24/27.44  ----------------------------------------------------------------
% 174.24/27.44    (1)  all_56_15 = e1
% 174.24/27.44    (2)  all_56_15 = e0
% 174.24/27.44    (3)   ~ (e1 = e0)
% 174.24/27.44  
% 174.24/27.44  Begin of proof
% 174.24/27.44  | 
% 174.24/27.44  | COMBINE_EQS: (1), (2) imply:
% 174.24/27.44  |   (4)  e1 = e0
% 174.24/27.44  | 
% 174.24/27.44  | SIMP: (4) implies:
% 174.24/27.44  |   (5)  e1 = e0
% 174.24/27.44  | 
% 174.24/27.44  | REDUCE: (3), (5) imply:
% 174.24/27.44  |   (6)  $false
% 174.24/27.44  | 
% 174.24/27.44  | CLOSE: (6) is inconsistent.
% 174.24/27.44  | 
% 174.24/27.44  End of proof
% 174.24/27.44  
% 174.24/27.44  Sub-proof #658 shows that the following formulas are inconsistent:
% 174.24/27.44  ----------------------------------------------------------------
% 174.24/27.44    (1)  all_56_1 = all_52_4
% 174.24/27.44    (2)  all_56_12 = all_52_3
% 174.24/27.44    (3)   ~ (all_10_2 = e0)
% 174.24/27.44    (4)   ~ (all_52_8 = all_52_12)
% 174.24/27.44    (5)   ~ (all_14_1 = e1)
% 174.24/27.44    (6)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.24/27.44    (7)  all_50_0 = all_14_0
% 174.24/27.44    (8)  all_56_5 = all_52_9
% 174.24/27.44    (9)  op(all_6_2, e3) = all_6_1
% 174.24/27.44    (10)   ~ (all_52_12 = all_6_2)
% 174.24/27.44    (11)  all_56_11 = all_14_1
% 174.24/27.44    (12)   ~ (all_52_13 = e1)
% 174.24/27.44    (13)  op(e3, all_52_4) = all_58_1
% 174.24/27.44    (14)  op(all_14_1, e1) = all_14_0
% 174.24/27.44    (15)  all_56_14 = all_52_11
% 174.24/27.44    (16)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 174.24/27.44    (17)  all_56_8 = all_10_2
% 174.24/27.44    (18)   ~ (all_52_13 = all_14_1)
% 174.24/27.44    (19)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.24/27.44    (20)   ~ (all_50_0 = e2) |  ~ (all_50_1 = e3)
% 174.24/27.44    (21)  all_58_26 = all_10_2
% 174.24/27.44    (22)   ~ (all_52_6 = all_14_1)
% 174.24/27.44    (23)   ~ (all_52_4 = e0)
% 174.24/27.44    (24)  all_58_18 = e0
% 174.24/27.44    (25)   ~ (all_52_1 = all_6_2)
% 174.24/27.44    (26)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 174.24/27.44    (27)  all_54_2 = all_52_8
% 174.24/27.44    (28)  all_56_0 = all_6_2
% 174.24/27.44    (29)   ~ (all_52_9 = all_10_2)
% 174.24/27.44    (30)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.24/27.44    (31)  all_58_27 = all_52_11
% 174.24/27.44    (32)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 174.24/27.44    (33)  all_58_17 = all_52_1
% 174.24/27.44    (34)  op(e3, e1) = all_52_8
% 174.24/27.44    (35)  all_58_19 = all_52_3
% 174.24/27.44    (36)  all_56_9 = all_52_12
% 174.24/27.44    (37)   ~ (all_52_12 = e1)
% 174.24/27.44    (38)   ~ (e3 = e2)
% 174.24/27.44    (39)  all_58_30 = all_14_1
% 174.24/27.44    (40)   ~ (e2 = e1)
% 174.24/27.44    (41)   ~ (all_52_6 = all_10_2)
% 174.24/27.44    (42)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.24/27.44    (43)   ~ (all_52_1 = all_4_2)
% 174.24/27.44    (44)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.24/27.44    (45)   ~ (all_52_3 = e1)
% 174.24/27.44    (46)  all_54_9 = all_52_6
% 174.24/27.44    (47)   ~ (all_14_1 = e0)
% 174.24/27.44    (48)  all_58_16 = all_6_2
% 174.24/27.44    (49)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 174.24/27.44    (50)   ~ (all_52_8 = all_52_9)
% 174.24/27.44    (51)  all_50_1 = all_14_1
% 174.24/27.44    (52)  all_56_2 = all_52_1
% 174.24/27.44    (53)   ~ (e3 = e0)
% 174.24/27.44    (54)  all_54_11 = all_14_1
% 174.24/27.44    (55)  all_58_29 = all_52_13
% 174.24/27.44    (56)   ~ (all_4_2 = e0)
% 174.24/27.44    (57)   ~ (all_6_2 = e0)
% 174.24/27.44    (58)   ~ (all_52_8 = all_10_2)
% 174.24/27.44    (59)  all_56_4 = all_52_8
% 174.24/27.44    (60)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 174.24/27.44    (61)   ~ (all_52_1 = all_52_13)
% 174.24/27.44    (62)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 174.24/27.44    (63)   ~ (all_52_8 = all_52_11)
% 174.24/27.44    (64)   ~ (all_52_8 = all_6_2)
% 174.24/27.44    (65)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 174.24/27.44    (66)   ~ (all_52_1 = all_52_9)
% 174.24/27.44    (67)  all_56_6 = e0
% 174.24/27.44    (68)  all_56_13 = e0
% 174.24/27.44    (69)  all_58_24 = all_52_8
% 174.24/27.44    (70)   ~ (all_52_9 = all_52_11)
% 174.24/27.44    (71)  all_56_3 = all_4_2
% 174.24/27.44    (72)  all_54_0 = all_6_2
% 174.24/27.44    (73)   ~ (all_52_11 = e0)
% 174.24/27.44    (74)   ~ (all_52_1 = e0)
% 174.24/27.44    (75)  all_58_25 = all_52_9
% 174.24/27.44    (76)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 174.24/27.44    (77)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.24/27.44            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.24/27.44    (78)   ~ (all_6_1 = e0)
% 174.24/27.44    (79)   ~ (all_52_6 = e0)
% 174.24/27.44    (80)  all_56_10 = all_52_13
% 174.24/27.44    (81)   ~ (all_52_3 = e0)
% 174.24/27.44    (82)   ~ (e2 = e0)
% 174.24/27.44    (83)   ~ (all_14_1 = all_10_2)
% 174.24/27.44    (84)  all_58_28 = all_52_12
% 174.24/27.44    (85)  op(e1, all_52_6) = all_58_9
% 174.24/27.44    (86)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 174.24/27.44    (87)  all_56_7 = all_52_6
% 174.24/27.44    (88)  op(e1, e3) = e0
% 174.24/27.44    (89)  all_58_31 = e1
% 174.24/27.44    (90)  all_56_15 = e1
% 174.24/27.44    (91)   ~ (all_52_12 = all_52_13)
% 174.24/27.44  
% 174.24/27.44  Begin of proof
% 174.24/27.44  | 
% 174.24/27.44  | BETA: splitting (16) gives:
% 174.24/27.44  | 
% 174.24/27.44  | Case 1:
% 174.24/27.44  | | 
% 174.24/27.44  | |   (92)  all_54_11 = e0
% 174.24/27.44  | | 
% 174.24/27.44  | | COMBINE_EQS: (54), (92) imply:
% 174.24/27.44  | |   (93)  all_14_1 = e0
% 174.24/27.44  | | 
% 174.24/27.44  | | REDUCE: (47), (93) imply:
% 174.24/27.45  | |   (94)  $false
% 174.24/27.45  | | 
% 174.24/27.45  | | CLOSE: (94) is inconsistent.
% 174.24/27.45  | | 
% 174.24/27.45  | Case 2:
% 174.24/27.45  | | 
% 174.24/27.45  | |   (95)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 174.24/27.45  | | 
% 174.24/27.45  | | BETA: splitting (65) gives:
% 174.24/27.45  | | 
% 174.24/27.45  | | Case 1:
% 174.24/27.45  | | | 
% 174.24/27.45  | | |   (96)  all_56_0 = e0
% 174.24/27.45  | | | 
% 174.24/27.45  | | | COMBINE_EQS: (28), (96) imply:
% 174.24/27.45  | | |   (97)  all_6_2 = e0
% 174.24/27.45  | | | 
% 174.24/27.45  | | | REDUCE: (57), (97) imply:
% 174.24/27.45  | | |   (98)  $false
% 174.24/27.45  | | | 
% 174.24/27.45  | | | CLOSE: (98) is inconsistent.
% 174.24/27.45  | | | 
% 174.24/27.45  | | Case 2:
% 174.24/27.45  | | | 
% 174.24/27.45  | | |   (99)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 174.24/27.45  | | | 
% 174.24/27.45  | | | BETA: splitting (49) gives:
% 174.24/27.45  | | | 
% 174.24/27.45  | | | Case 1:
% 174.24/27.45  | | | | 
% 174.24/27.45  | | | |   (100)  all_56_4 = e0
% 174.24/27.45  | | | | 
% 174.24/27.45  | | | | COMBINE_EQS: (59), (100) imply:
% 174.24/27.45  | | | |   (101)  all_52_8 = e0
% 174.24/27.45  | | | | 
% 174.24/27.45  | | | | COMBINE_EQS: (69), (101) imply:
% 174.24/27.45  | | | |   (102)  all_58_24 = e0
% 174.24/27.45  | | | | 
% 174.24/27.45  | | | | REDUCE: (50), (101) imply:
% 174.24/27.45  | | | |   (103)   ~ (all_52_9 = e0)
% 174.24/27.45  | | | | 
% 174.24/27.45  | | | | SIMP: (103) implies:
% 174.24/27.45  | | | |   (104)   ~ (all_52_9 = e0)
% 174.24/27.45  | | | | 
% 174.24/27.45  | | | | REDUCE: (63), (101) imply:
% 174.24/27.45  | | | |   (105)   ~ (all_52_11 = e0)
% 174.24/27.45  | | | | 
% 174.24/27.45  | | | | BETA: splitting (60) gives:
% 174.24/27.45  | | | | 
% 174.24/27.45  | | | | Case 1:
% 174.24/27.45  | | | | | 
% 174.24/27.45  | | | | |   (106)  all_56_2 = e0
% 174.24/27.45  | | | | | 
% 174.24/27.45  | | | | | COMBINE_EQS: (52), (106) imply:
% 174.24/27.45  | | | | |   (107)  all_52_1 = e0
% 174.24/27.45  | | | | | 
% 174.24/27.45  | | | | | REDUCE: (74), (107) imply:
% 174.24/27.45  | | | | |   (108)  $false
% 174.24/27.45  | | | | | 
% 174.24/27.45  | | | | | CLOSE: (108) is inconsistent.
% 174.24/27.45  | | | | | 
% 174.24/27.45  | | | | Case 2:
% 174.24/27.45  | | | | | 
% 174.24/27.45  | | | | |   (109)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 174.24/27.45  | | | | | 
% 174.24/27.45  | | | | | BETA: splitting (109) gives:
% 174.24/27.45  | | | | | 
% 174.24/27.45  | | | | | Case 1:
% 174.24/27.45  | | | | | | 
% 174.24/27.45  | | | | | |   (110)  all_56_3 = e0
% 174.24/27.45  | | | | | | 
% 174.24/27.45  | | | | | | COMBINE_EQS: (71), (110) imply:
% 174.24/27.45  | | | | | |   (111)  all_4_2 = e0
% 174.24/27.45  | | | | | | 
% 174.24/27.45  | | | | | | REDUCE: (56), (111) imply:
% 174.24/27.45  | | | | | |   (112)  $false
% 174.24/27.45  | | | | | | 
% 174.24/27.45  | | | | | | CLOSE: (112) is inconsistent.
% 174.24/27.45  | | | | | | 
% 174.24/27.45  | | | | | Case 2:
% 174.24/27.45  | | | | | | 
% 174.24/27.45  | | | | | |   (113)  all_56_5 = e0 | all_56_10 = e0
% 174.24/27.45  | | | | | | 
% 174.24/27.45  | | | | | | BETA: splitting (113) gives:
% 174.24/27.45  | | | | | | 
% 174.24/27.45  | | | | | | Case 1:
% 174.24/27.45  | | | | | | | 
% 174.24/27.45  | | | | | | |   (114)  all_56_5 = e0
% 174.24/27.45  | | | | | | | 
% 174.24/27.45  | | | | | | | COMBINE_EQS: (8), (114) imply:
% 174.24/27.45  | | | | | | |   (115)  all_52_9 = e0
% 174.24/27.45  | | | | | | | 
% 174.24/27.45  | | | | | | | REDUCE: (104), (115) imply:
% 174.24/27.45  | | | | | | |   (116)  $false
% 174.24/27.45  | | | | | | | 
% 174.24/27.45  | | | | | | | CLOSE: (116) is inconsistent.
% 174.24/27.45  | | | | | | | 
% 174.24/27.45  | | | | | | Case 2:
% 174.24/27.45  | | | | | | | 
% 174.24/27.45  | | | | | | |   (117)  all_56_10 = e0
% 174.24/27.45  | | | | | | | 
% 174.24/27.45  | | | | | | | COMBINE_EQS: (80), (117) imply:
% 174.24/27.45  | | | | | | |   (118)  all_52_13 = e0
% 174.24/27.45  | | | | | | | 
% 174.24/27.45  | | | | | | | SIMP: (118) implies:
% 174.24/27.45  | | | | | | |   (119)  all_52_13 = e0
% 174.24/27.45  | | | | | | | 
% 174.24/27.45  | | | | | | | COMBINE_EQS: (55), (119) imply:
% 174.24/27.45  | | | | | | |   (120)  all_58_29 = e0
% 174.24/27.45  | | | | | | | 
% 174.24/27.45  | | | | | | | REDUCE: (91), (119) imply:
% 174.24/27.45  | | | | | | |   (121)   ~ (all_52_12 = e0)
% 174.24/27.45  | | | | | | | 
% 174.24/27.45  | | | | | | | REDUCE: (12), (119) imply:
% 174.24/27.45  | | | | | | |   (122)   ~ (e1 = e0)
% 174.24/27.45  | | | | | | | 
% 174.24/27.45  | | | | | | | SIMP: (122) implies:
% 174.24/27.45  | | | | | | |   (123)   ~ (e1 = e0)
% 174.24/27.45  | | | | | | | 
% 174.24/27.45  | | | | | | | BETA: splitting (19) gives:
% 174.24/27.45  | | | | | | | 
% 174.24/27.45  | | | | | | | Case 1:
% 174.24/27.45  | | | | | | | | 
% 174.24/27.45  | | | | | | | |   (124)  all_58_31 = e0
% 174.24/27.45  | | | | | | | | 
% 174.24/27.45  | | | | | | | | COMBINE_EQS: (89), (124) imply:
% 174.24/27.45  | | | | | | | |   (125)  e1 = e0
% 174.24/27.45  | | | | | | | | 
% 174.24/27.45  | | | | | | | | REDUCE: (123), (125) imply:
% 174.24/27.45  | | | | | | | |   (126)  $false
% 174.24/27.45  | | | | | | | | 
% 174.24/27.45  | | | | | | | | CLOSE: (126) is inconsistent.
% 174.24/27.45  | | | | | | | | 
% 174.24/27.45  | | | | | | | Case 2:
% 174.24/27.45  | | | | | | | | 
% 174.24/27.45  | | | | | | | |   (127)   ~ (all_58_31 = e0)
% 174.24/27.45  | | | | | | | |   (128)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.24/27.45  | | | | | | | | 
% 174.24/27.45  | | | | | | | | BETA: splitting (128) gives:
% 174.24/27.45  | | | | | | | | 
% 174.24/27.45  | | | | | | | | Case 1:
% 174.24/27.45  | | | | | | | | | 
% 174.24/27.45  | | | | | | | | |   (129)  all_58_30 = e1
% 174.24/27.45  | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | COMBINE_EQS: (39), (129) imply:
% 174.24/27.45  | | | | | | | | |   (130)  all_14_1 = e1
% 174.24/27.45  | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | REDUCE: (5), (130) imply:
% 174.24/27.45  | | | | | | | | |   (131)  $false
% 174.24/27.45  | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | CLOSE: (131) is inconsistent.
% 174.24/27.45  | | | | | | | | | 
% 174.24/27.45  | | | | | | | | Case 2:
% 174.24/27.45  | | | | | | | | | 
% 174.24/27.45  | | | | | | | | |   (132)  all_58_28 = e3 | all_58_29 = e2
% 174.24/27.45  | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | BETA: splitting (132) gives:
% 174.24/27.45  | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | Case 1:
% 174.24/27.45  | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | |   (133)  all_58_29 = e2
% 174.24/27.45  | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | REF_CLOSE: (82), (120), (133) are inconsistent by sub-proof
% 174.24/27.45  | | | | | | | | | |            #889.
% 174.24/27.45  | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | Case 2:
% 174.24/27.45  | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | |   (134)  all_58_28 = e3
% 174.24/27.45  | | | | | | | | | |   (135)   ~ (all_58_29 = e2)
% 174.24/27.45  | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | COMBINE_EQS: (84), (134) imply:
% 174.24/27.45  | | | | | | | | | |   (136)  all_52_12 = e3
% 174.24/27.45  | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | COMBINE_EQS: (36), (136) imply:
% 174.24/27.45  | | | | | | | | | |   (137)  all_56_9 = e3
% 174.24/27.45  | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | REDUCE: (120), (135) imply:
% 174.24/27.45  | | | | | | | | | |   (138)   ~ (e2 = e0)
% 174.24/27.45  | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | REDUCE: (10), (136) imply:
% 174.24/27.45  | | | | | | | | | |   (139)   ~ (all_6_2 = e3)
% 174.24/27.45  | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | SIMP: (139) implies:
% 174.24/27.45  | | | | | | | | | |   (140)   ~ (all_6_2 = e3)
% 174.24/27.45  | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | BETA: splitting (6) gives:
% 174.24/27.45  | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | Case 1:
% 174.24/27.45  | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | |   (141)  all_58_19 = e0
% 174.24/27.45  | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | COMBINE_EQS: (35), (141) imply:
% 174.24/27.45  | | | | | | | | | | |   (142)  all_52_3 = e0
% 174.24/27.45  | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | REDUCE: (81), (142) imply:
% 174.24/27.45  | | | | | | | | | | |   (143)  $false
% 174.24/27.45  | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | CLOSE: (143) is inconsistent.
% 174.24/27.45  | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | Case 2:
% 174.24/27.45  | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | |   (144)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.24/27.45  | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | BETA: splitting (32) gives:
% 174.24/27.45  | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | Case 1:
% 174.24/27.45  | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | |   (145)  all_56_9 = e2
% 174.24/27.45  | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | COMBINE_EQS: (137), (145) imply:
% 174.24/27.45  | | | | | | | | | | | |   (146)  e3 = e2
% 174.24/27.45  | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | REDUCE: (38), (146) imply:
% 174.24/27.45  | | | | | | | | | | | |   (147)  $false
% 174.24/27.45  | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | CLOSE: (147) is inconsistent.
% 174.24/27.45  | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | Case 2:
% 174.24/27.45  | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | |   (148)  all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 174.24/27.45  | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | BETA: splitting (148) gives:
% 174.24/27.45  | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | Case 1:
% 174.24/27.45  | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | |   (149)  all_56_10 = e2
% 174.24/27.45  | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | COMBINE_EQS: (117), (149) imply:
% 174.24/27.45  | | | | | | | | | | | | |   (150)  e2 = e0
% 174.24/27.45  | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | REDUCE: (82), (150) imply:
% 174.24/27.45  | | | | | | | | | | | | |   (151)  $false
% 174.24/27.45  | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | CLOSE: (151) is inconsistent.
% 174.24/27.45  | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | Case 2:
% 174.24/27.45  | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | |   (152)  all_56_11 = e2 | all_56_15 = e2
% 174.24/27.45  | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | BETA: splitting (152) gives:
% 174.24/27.45  | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | Case 1:
% 174.24/27.45  | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | |   (153)  all_56_11 = e2
% 174.24/27.45  | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | COMBINE_EQS: (11), (153) imply:
% 174.24/27.45  | | | | | | | | | | | | | |   (154)  all_14_1 = e2
% 174.24/27.45  | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | SIMP: (154) implies:
% 174.24/27.45  | | | | | | | | | | | | | |   (155)  all_14_1 = e2
% 174.24/27.45  | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | REDUCE: (22), (155) imply:
% 174.24/27.45  | | | | | | | | | | | | | |   (156)   ~ (all_52_6 = e2)
% 174.24/27.45  | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | REDUCE: (83), (155) imply:
% 174.24/27.45  | | | | | | | | | | | | | |   (157)   ~ (all_10_2 = e2)
% 174.24/27.45  | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | SIMP: (157) implies:
% 174.24/27.45  | | | | | | | | | | | | | |   (158)   ~ (all_10_2 = e2)
% 174.24/27.45  | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 174.24/27.45  | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | Case 1:
% 174.24/27.45  | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | |   (159)  all_58_18 = e1
% 174.24/27.45  | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | REF_CLOSE: (24), (123), (159) are inconsistent by sub-proof
% 174.24/27.45  | | | | | | | | | | | | | | |            #888.
% 174.24/27.45  | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | Case 2:
% 174.24/27.45  | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | |   (160)  all_58_16 = e3 | all_58_17 = e2
% 174.24/27.45  | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 174.24/27.45  | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | Case 1:
% 174.24/27.45  | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | |   (161)  all_58_17 = e2
% 174.24/27.45  | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | COMBINE_EQS: (33), (161) imply:
% 174.24/27.45  | | | | | | | | | | | | | | | |   (162)  all_52_1 = e2
% 174.24/27.45  | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | REDUCE: (66), (162) imply:
% 174.24/27.45  | | | | | | | | | | | | | | | |   (163)   ~ (all_52_9 = e2)
% 174.24/27.45  | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | SIMP: (163) implies:
% 174.24/27.45  | | | | | | | | | | | | | | | |   (164)   ~ (all_52_9 = e2)
% 174.24/27.45  | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | REDUCE: (25), (162) imply:
% 174.24/27.45  | | | | | | | | | | | | | | | |   (165)   ~ (all_6_2 = e2)
% 174.24/27.45  | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | SIMP: (165) implies:
% 174.24/27.45  | | | | | | | | | | | | | | | |   (166)   ~ (all_6_2 = e2)
% 174.24/27.45  | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | BETA: splitting (44) gives:
% 174.24/27.45  | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | Case 1:
% 174.24/27.45  | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | |   (167)  all_56_0 = e1
% 174.24/27.45  | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | COMBINE_EQS: (28), (167) imply:
% 174.24/27.45  | | | | | | | | | | | | | | | | |   (168)  all_6_2 = e1
% 174.24/27.45  | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | COMBINE_EQS: (48), (168) imply:
% 174.24/27.45  | | | | | | | | | | | | | | | | |   (169)  all_58_16 = e1
% 174.24/27.45  | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | REDUCE: (140), (168) imply:
% 174.24/27.45  | | | | | | | | | | | | | | | | |   (170)   ~ (e3 = e1)
% 174.24/27.45  | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | SIMP: (170) implies:
% 174.24/27.45  | | | | | | | | | | | | | | | | |   (171)   ~ (e3 = e1)
% 174.24/27.45  | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | REDUCE: (9), (168) imply:
% 174.24/27.45  | | | | | | | | | | | | | | | | |   (172)  op(e1, e3) = all_6_1
% 174.24/27.45  | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | BETA: splitting (26) gives:
% 174.24/27.45  | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | Case 1:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | |   (173)  all_56_4 = e2
% 174.24/27.45  | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (100), (173) imply:
% 174.24/27.45  | | | | | | | | | | | | | | | | | |   (174)  e2 = e0
% 174.24/27.45  | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (161), (174) imply:
% 174.24/27.45  | | | | | | | | | | | | | | | | | |   (175)  all_58_17 = e0
% 174.24/27.45  | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | REF_CLOSE: (82), (160), (169), (171), (175) are inconsistent
% 174.24/27.45  | | | | | | | | | | | | | | | | | |            by sub-proof #980.
% 174.24/27.45  | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | Case 2:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | |   (176)  all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 174.24/27.45  | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | BETA: splitting (176) gives:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | Case 1:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | |   (177)  all_56_5 = e2
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8), (177) imply:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | |   (178)  all_52_9 = e2
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | SIMP: (178) implies:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | |   (179)  all_52_9 = e2
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | REDUCE: (164), (179) imply:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | |   (180)  $false
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | CLOSE: (180) is inconsistent.
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | Case 2:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | |   (181)  all_56_8 = e2 | all_56_14 = e2
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | Case 1:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | |   (182)  all_56_8 = e2
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (158), (182) are inconsistent by sub-proof
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | |            #666.
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | Case 2:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | |   (183)  all_56_14 = e2
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15), (183) imply:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | |   (184)  all_52_11 = e2
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | SIMP: (184) implies:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | |   (185)  all_52_11 = e2
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (31), (185) imply:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | |   (186)  all_58_27 = e2
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | BETA: splitting (30) gives:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | |   (187)  all_58_27 = e0
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (186), (187) imply:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | |   (188)  e2 = e0
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (82), (160), (161), (169), (171), (188) are
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | |   (189)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | |   (190)  all_58_26 = e1
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21), (190) imply:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | |   (191)  all_10_2 = e1
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | | SIMP: (191) implies:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | |   (192)  all_10_2 = e1
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (192) imply:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | |   (193)   ~ (all_52_6 = e1)
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (76), (77), (78), (79), (85), (88), (156),
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | |            (172), (193) are inconsistent by sub-proof #845.
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | |   (194)  all_58_24 = e3 | all_58_25 = e2
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (53), (75), (102), (164), (194) are inconsistent
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #921.
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | End of split
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | End of split
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | End of split
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | End of split
% 174.24/27.45  | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | End of split
% 174.24/27.45  | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | Case 2:
% 174.24/27.45  | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | |   (195)   ~ (all_56_0 = e1)
% 174.24/27.45  | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | REDUCE: (28), (195) imply:
% 174.24/27.45  | | | | | | | | | | | | | | | | |   (196)   ~ (all_6_2 = e1)
% 174.24/27.45  | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (72), (140), (166), (196) are inconsistent
% 174.24/27.45  | | | | | | | | | | | | | | | | |            by sub-proof #848.
% 174.24/27.45  | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | End of split
% 174.24/27.45  | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | Case 2:
% 174.24/27.45  | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | |   (197)  all_58_16 = e3
% 174.24/27.45  | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | COMBINE_EQS: (48), (197) imply:
% 174.24/27.45  | | | | | | | | | | | | | | | |   (198)  all_6_2 = e3
% 174.24/27.45  | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | REDUCE: (140), (198) imply:
% 174.24/27.45  | | | | | | | | | | | | | | | |   (199)  $false
% 174.24/27.45  | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | CLOSE: (199) is inconsistent.
% 174.24/27.45  | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | End of split
% 174.24/27.45  | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | End of split
% 174.24/27.45  | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | Case 2:
% 174.24/27.45  | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | |   (200)  all_56_15 = e2
% 174.24/27.45  | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | COMBINE_EQS: (90), (200) imply:
% 174.24/27.45  | | | | | | | | | | | | | |   (201)  e2 = e1
% 174.24/27.45  | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | REDUCE: (40), (201) imply:
% 174.24/27.45  | | | | | | | | | | | | | |   (202)  $false
% 174.24/27.45  | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | CLOSE: (202) is inconsistent.
% 174.24/27.45  | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | End of split
% 174.24/27.45  | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | End of split
% 174.24/27.45  | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | End of split
% 174.24/27.45  | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | End of split
% 174.24/27.45  | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | End of split
% 174.24/27.45  | | | | | | | | | 
% 174.24/27.45  | | | | | | | | End of split
% 174.24/27.45  | | | | | | | | 
% 174.24/27.45  | | | | | | | End of split
% 174.24/27.45  | | | | | | | 
% 174.24/27.45  | | | | | | End of split
% 174.24/27.45  | | | | | | 
% 174.24/27.45  | | | | | End of split
% 174.24/27.45  | | | | | 
% 174.24/27.45  | | | | End of split
% 174.24/27.45  | | | | 
% 174.24/27.45  | | | Case 2:
% 174.24/27.45  | | | | 
% 174.24/27.45  | | | |   (203)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 174.24/27.45  | | | | 
% 174.24/27.45  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (13), (14), (15),
% 174.24/27.45  | | | |            (17), (18), (19), (20), (21), (23), (24), (27), (28), (29),
% 174.24/27.45  | | | |            (30), (31), (33), (34), (35), (36), (37), (39), (41), (43),
% 174.24/27.45  | | | |            (44), (45), (48), (50), (51), (52), (53), (54), (55), (58),
% 174.24/27.45  | | | |            (59), (61), (62), (64), (67), (68), (69), (70), (71), (73),
% 174.24/27.45  | | | |            (75), (77), (81), (84), (86), (87), (89), (91), (95), (99),
% 174.24/27.45  | | | |            (203) are inconsistent by sub-proof #659.
% 174.24/27.45  | | | | 
% 174.24/27.45  | | | End of split
% 174.24/27.45  | | | 
% 174.24/27.45  | | End of split
% 174.24/27.45  | | 
% 174.24/27.45  | End of split
% 174.24/27.45  | 
% 174.24/27.45  End of proof
% 174.24/27.45  
% 174.24/27.45  Sub-proof #659 shows that the following formulas are inconsistent:
% 174.24/27.45  ----------------------------------------------------------------
% 174.24/27.45    (1)  all_56_1 = all_52_4
% 174.24/27.45    (2)  all_56_12 = all_52_3
% 174.24/27.45    (3)   ~ (all_10_2 = e0)
% 174.24/27.45    (4)   ~ (all_52_8 = all_52_12)
% 174.24/27.45    (5)   ~ (all_14_1 = e1)
% 174.24/27.45    (6)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.24/27.45    (7)  all_50_0 = all_14_0
% 174.24/27.45    (8)  all_56_5 = all_52_9
% 174.24/27.45    (9)  op(e3, all_52_4) = all_58_1
% 174.24/27.45    (10)  op(all_14_1, e1) = all_14_0
% 174.24/27.45    (11)  all_56_14 = all_52_11
% 174.24/27.45    (12)  all_56_8 = all_10_2
% 174.24/27.45    (13)   ~ (all_52_13 = all_14_1)
% 174.24/27.45    (14)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.24/27.45    (15)   ~ (all_50_0 = e2) |  ~ (all_50_1 = e3)
% 174.24/27.45    (16)  all_58_26 = all_10_2
% 174.24/27.45    (17)   ~ (all_52_4 = e0)
% 174.24/27.45    (18)  all_58_18 = e0
% 174.24/27.45    (19)  all_54_2 = all_52_8
% 174.24/27.45    (20)  all_56_0 = all_6_2
% 174.24/27.45    (21)   ~ (all_52_9 = all_10_2)
% 174.24/27.45    (22)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.24/27.45    (23)  all_58_27 = all_52_11
% 174.24/27.45    (24)  all_58_17 = all_52_1
% 174.24/27.45    (25)  op(e3, e1) = all_52_8
% 174.24/27.45    (26)  all_58_19 = all_52_3
% 174.24/27.45    (27)  all_56_9 = all_52_12
% 174.24/27.45    (28)   ~ (all_52_12 = e1)
% 174.24/27.45    (29)  all_58_30 = all_14_1
% 174.24/27.45    (30)   ~ (all_52_6 = all_10_2)
% 174.24/27.45    (31)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 174.24/27.45    (32)   ~ (all_52_1 = all_4_2)
% 174.24/27.45    (33)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.24/27.45    (34)   ~ (all_52_3 = e1)
% 174.24/27.45    (35)  all_58_16 = all_6_2
% 174.24/27.45    (36)   ~ (all_52_8 = all_52_9)
% 174.24/27.45    (37)  all_50_1 = all_14_1
% 174.24/27.45    (38)  all_56_2 = all_52_1
% 174.24/27.45    (39)   ~ (e3 = e0)
% 174.24/27.45    (40)  all_54_11 = all_14_1
% 174.24/27.45    (41)  all_58_29 = all_52_13
% 174.24/27.45    (42)   ~ (all_52_8 = all_10_2)
% 174.24/27.45    (43)  all_56_4 = all_52_8
% 174.24/27.45    (44)   ~ (all_52_1 = all_52_13)
% 174.24/27.45    (45)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 174.24/27.45    (46)   ~ (all_52_8 = all_6_2)
% 174.24/27.45    (47)  all_56_6 = e0
% 174.24/27.45    (48)  all_56_13 = e0
% 174.24/27.45    (49)  all_58_24 = all_52_8
% 174.24/27.45    (50)   ~ (all_52_9 = all_52_11)
% 174.24/27.45    (51)  all_56_3 = all_4_2
% 174.24/27.45    (52)   ~ (all_52_11 = e0)
% 174.24/27.45    (53)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 174.24/27.45    (54)  all_58_25 = all_52_9
% 174.24/27.45    (55)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.24/27.45            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.24/27.45    (56)   ~ (all_52_3 = e0)
% 174.24/27.45    (57)  all_58_28 = all_52_12
% 174.24/27.45    (58)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 174.24/27.45    (59)  all_56_7 = all_52_6
% 174.24/27.45    (60)  all_58_31 = e1
% 174.24/27.45    (61)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 174.24/27.45    (62)   ~ (all_52_12 = all_52_13)
% 174.24/27.45  
% 174.24/27.45  Begin of proof
% 174.24/27.45  | 
% 174.24/27.45  | BETA: splitting (53) gives:
% 174.24/27.45  | 
% 174.24/27.45  | Case 1:
% 174.24/27.45  | | 
% 174.24/27.45  | |   (63)  all_56_5 = e0
% 174.24/27.45  | | 
% 174.24/27.45  | | COMBINE_EQS: (8), (63) imply:
% 174.24/27.45  | |   (64)  all_52_9 = e0
% 174.24/27.45  | | 
% 174.24/27.45  | | COMBINE_EQS: (54), (64) imply:
% 174.24/27.45  | |   (65)  all_58_25 = e0
% 174.24/27.45  | | 
% 174.24/27.45  | | REDUCE: (36), (64) imply:
% 174.24/27.45  | |   (66)   ~ (all_52_8 = e0)
% 174.24/27.45  | | 
% 174.24/27.45  | | REDUCE: (50), (64) imply:
% 174.24/27.45  | |   (67)   ~ (all_52_11 = e0)
% 174.24/27.45  | | 
% 174.24/27.45  | | REDUCE: (21), (64) imply:
% 174.24/27.45  | |   (68)   ~ (all_10_2 = e0)
% 174.24/27.45  | | 
% 174.24/27.45  | | BETA: splitting (31) gives:
% 174.24/27.45  | | 
% 174.24/27.45  | | Case 1:
% 174.24/27.45  | | | 
% 174.24/27.45  | | |   (69)  all_56_1 = e0
% 174.24/27.45  | | | 
% 174.24/27.45  | | | COMBINE_EQS: (1), (69) imply:
% 174.24/27.45  | | |   (70)  all_52_4 = e0
% 174.24/27.45  | | | 
% 174.24/27.45  | | | REDUCE: (17), (70) imply:
% 174.24/27.45  | | |   (71)  $false
% 174.24/27.45  | | | 
% 174.24/27.45  | | | CLOSE: (71) is inconsistent.
% 174.24/27.45  | | | 
% 174.24/27.45  | | Case 2:
% 174.24/27.45  | | | 
% 174.24/27.45  | | |   (72)  all_56_4 = e0 | all_56_9 = e0
% 174.24/27.45  | | | 
% 174.24/27.45  | | | BETA: splitting (72) gives:
% 174.24/27.45  | | | 
% 174.24/27.45  | | | Case 1:
% 174.24/27.45  | | | | 
% 174.24/27.45  | | | |   (73)  all_56_4 = e0
% 174.24/27.45  | | | | 
% 174.24/27.45  | | | | COMBINE_EQS: (43), (73) imply:
% 174.24/27.45  | | | |   (74)  all_52_8 = e0
% 174.24/27.45  | | | | 
% 174.24/27.45  | | | | REDUCE: (66), (74) imply:
% 174.24/27.45  | | | |   (75)  $false
% 174.24/27.45  | | | | 
% 174.24/27.45  | | | | CLOSE: (75) is inconsistent.
% 174.24/27.45  | | | | 
% 174.24/27.45  | | | Case 2:
% 174.24/27.45  | | | | 
% 174.24/27.45  | | | |   (76)  all_56_9 = e0
% 174.24/27.45  | | | | 
% 174.24/27.45  | | | | COMBINE_EQS: (27), (76) imply:
% 174.24/27.45  | | | |   (77)  all_52_12 = e0
% 174.24/27.45  | | | | 
% 174.24/27.45  | | | | SIMP: (77) implies:
% 174.24/27.45  | | | |   (78)  all_52_12 = e0
% 174.24/27.45  | | | | 
% 174.24/27.45  | | | | COMBINE_EQS: (57), (78) imply:
% 174.24/27.45  | | | |   (79)  all_58_28 = e0
% 174.24/27.45  | | | | 
% 174.24/27.45  | | | | REDUCE: (62), (78) imply:
% 174.24/27.45  | | | |   (80)   ~ (all_52_13 = e0)
% 174.24/27.45  | | | | 
% 174.24/27.45  | | | | SIMP: (80) implies:
% 174.24/27.45  | | | |   (81)   ~ (all_52_13 = e0)
% 174.24/27.45  | | | | 
% 174.24/27.45  | | | | REDUCE: (28), (78) imply:
% 174.24/27.45  | | | |   (82)   ~ (e1 = e0)
% 174.24/27.45  | | | | 
% 174.24/27.45  | | | | SIMP: (82) implies:
% 174.24/27.45  | | | |   (83)   ~ (e1 = e0)
% 174.24/27.45  | | | | 
% 174.24/27.45  | | | | BETA: splitting (14) gives:
% 174.24/27.45  | | | | 
% 174.24/27.45  | | | | Case 1:
% 174.24/27.45  | | | | | 
% 174.24/27.45  | | | | |   (84)  all_58_31 = e0
% 174.24/27.45  | | | | | 
% 174.24/27.45  | | | | | COMBINE_EQS: (60), (84) imply:
% 174.24/27.45  | | | | |   (85)  e1 = e0
% 174.24/27.45  | | | | | 
% 174.24/27.45  | | | | | REDUCE: (83), (85) imply:
% 174.24/27.45  | | | | |   (86)  $false
% 174.24/27.45  | | | | | 
% 174.24/27.45  | | | | | CLOSE: (86) is inconsistent.
% 174.24/27.45  | | | | | 
% 174.24/27.45  | | | | Case 2:
% 174.24/27.45  | | | | | 
% 174.24/27.45  | | | | |   (87)   ~ (all_58_31 = e0)
% 174.24/27.45  | | | | |   (88)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.24/27.45  | | | | | 
% 174.24/27.45  | | | | | BETA: splitting (88) gives:
% 174.24/27.45  | | | | | 
% 174.24/27.45  | | | | | Case 1:
% 174.24/27.45  | | | | | | 
% 174.24/27.45  | | | | | |   (89)  all_58_30 = e1
% 174.24/27.45  | | | | | | 
% 174.24/27.45  | | | | | | COMBINE_EQS: (29), (89) imply:
% 174.24/27.45  | | | | | |   (90)  all_14_1 = e1
% 174.24/27.45  | | | | | | 
% 174.24/27.45  | | | | | | REDUCE: (5), (90) imply:
% 174.24/27.45  | | | | | |   (91)  $false
% 174.24/27.45  | | | | | | 
% 174.24/27.45  | | | | | | CLOSE: (91) is inconsistent.
% 174.24/27.45  | | | | | | 
% 174.24/27.45  | | | | | Case 2:
% 174.24/27.45  | | | | | | 
% 174.24/27.45  | | | | | |   (92)   ~ (all_58_30 = e1)
% 174.24/27.45  | | | | | |   (93)  all_58_28 = e3 | all_58_29 = e2
% 174.24/27.45  | | | | | | 
% 174.24/27.45  | | | | | | BETA: splitting (93) gives:
% 174.24/27.45  | | | | | | 
% 174.24/27.45  | | | | | | Case 1:
% 174.24/27.45  | | | | | | | 
% 174.24/27.45  | | | | | | |   (94)  all_58_29 = e2
% 174.24/27.45  | | | | | | | 
% 174.24/27.45  | | | | | | | COMBINE_EQS: (41), (94) imply:
% 174.24/27.45  | | | | | | |   (95)  all_52_13 = e2
% 174.24/27.45  | | | | | | | 
% 174.24/27.45  | | | | | | | REDUCE: (44), (95) imply:
% 174.24/27.45  | | | | | | |   (96)   ~ (all_52_1 = e2)
% 174.24/27.45  | | | | | | | 
% 174.24/27.45  | | | | | | | REDUCE: (13), (95) imply:
% 174.24/27.45  | | | | | | |   (97)   ~ (all_14_1 = e2)
% 174.24/27.45  | | | | | | | 
% 174.24/27.45  | | | | | | | SIMP: (97) implies:
% 174.24/27.45  | | | | | | |   (98)   ~ (all_14_1 = e2)
% 174.24/27.45  | | | | | | | 
% 174.24/27.45  | | | | | | | REDUCE: (81), (95) imply:
% 174.24/27.45  | | | | | | |   (99)   ~ (e2 = e0)
% 174.24/27.45  | | | | | | | 
% 174.24/27.45  | | | | | | | BETA: splitting (6) gives:
% 174.24/27.45  | | | | | | | 
% 174.24/27.45  | | | | | | | Case 1:
% 174.24/27.45  | | | | | | | | 
% 174.24/27.45  | | | | | | | |   (100)  all_58_19 = e0
% 174.24/27.45  | | | | | | | | 
% 174.24/27.45  | | | | | | | | COMBINE_EQS: (26), (100) imply:
% 174.24/27.45  | | | | | | | |   (101)  all_52_3 = e0
% 174.24/27.45  | | | | | | | | 
% 174.24/27.45  | | | | | | | | REDUCE: (56), (101) imply:
% 174.24/27.45  | | | | | | | |   (102)  $false
% 174.24/27.45  | | | | | | | | 
% 174.24/27.45  | | | | | | | | CLOSE: (102) is inconsistent.
% 174.24/27.45  | | | | | | | | 
% 174.24/27.45  | | | | | | | Case 2:
% 174.24/27.45  | | | | | | | | 
% 174.24/27.45  | | | | | | | |   (103)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.24/27.45  | | | | | | | | 
% 174.24/27.45  | | | | | | | | BETA: splitting (103) gives:
% 174.24/27.45  | | | | | | | | 
% 174.24/27.45  | | | | | | | | Case 1:
% 174.24/27.45  | | | | | | | | | 
% 174.24/27.45  | | | | | | | | |   (104)  all_58_18 = e1
% 174.24/27.45  | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | REF_CLOSE: (18), (83), (104) are inconsistent by sub-proof
% 174.24/27.45  | | | | | | | | |            #888.
% 174.24/27.45  | | | | | | | | | 
% 174.24/27.45  | | | | | | | | Case 2:
% 174.24/27.45  | | | | | | | | | 
% 174.24/27.45  | | | | | | | | |   (105)   ~ (all_58_18 = e1)
% 174.24/27.45  | | | | | | | | |   (106)  all_58_16 = e3 | all_58_17 = e2
% 174.24/27.45  | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | BETA: splitting (61) gives:
% 174.24/27.45  | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | Case 1:
% 174.24/27.45  | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | |   (107)  all_54_11 = e1
% 174.24/27.45  | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | REF_CLOSE: (5), (40), (107) are inconsistent by sub-proof
% 174.24/27.45  | | | | | | | | | |            #665.
% 174.24/27.45  | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | Case 2:
% 174.24/27.45  | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | |   (108)   ~ (all_54_11 = e1)
% 174.24/27.45  | | | | | | | | | |   (109)  all_54_11 = e3 | all_54_11 = e2
% 174.24/27.45  | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | BETA: splitting (109) gives:
% 174.24/27.45  | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | Case 1:
% 174.24/27.45  | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | |   (110)  all_54_11 = e2
% 174.24/27.45  | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | REF_CLOSE: (40), (98), (110) are inconsistent by sub-proof
% 174.24/27.45  | | | | | | | | | | |            #664.
% 174.24/27.45  | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | Case 2:
% 174.24/27.45  | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | |   (111)  all_54_11 = e3
% 174.24/27.45  | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | COMBINE_EQS: (40), (111) imply:
% 174.24/27.45  | | | | | | | | | | |   (112)  all_14_1 = e3
% 174.24/27.45  | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | SIMP: (112) implies:
% 174.24/27.45  | | | | | | | | | | |   (113)  all_14_1 = e3
% 174.24/27.45  | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | COMBINE_EQS: (37), (113) imply:
% 174.24/27.45  | | | | | | | | | | |   (114)  all_50_1 = e3
% 174.24/27.45  | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | REDUCE: (5), (113) imply:
% 174.24/27.45  | | | | | | | | | | |   (115)   ~ (e3 = e1)
% 174.24/27.45  | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | REDUCE: (10), (113) imply:
% 174.24/27.45  | | | | | | | | | | |   (116)  op(e3, e1) = all_14_0
% 174.24/27.45  | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | BETA: splitting (15) gives:
% 174.24/27.45  | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | Case 1:
% 174.24/27.45  | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | |   (117)   ~ (all_50_0 = e2)
% 174.24/27.45  | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | REDUCE: (7), (117) imply:
% 174.24/27.45  | | | | | | | | | | | |   (118)   ~ (all_14_0 = e2)
% 174.24/27.45  | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | BETA: splitting (106) gives:
% 174.24/27.45  | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | Case 1:
% 174.24/27.45  | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | |   (119)  all_58_17 = e2
% 174.24/27.45  | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | COMBINE_EQS: (24), (119) imply:
% 174.24/27.45  | | | | | | | | | | | | |   (120)  all_52_1 = e2
% 174.24/27.45  | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | REDUCE: (96), (120) imply:
% 174.24/27.45  | | | | | | | | | | | | |   (121)  $false
% 174.24/27.45  | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | CLOSE: (121) is inconsistent.
% 174.24/27.45  | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | Case 2:
% 174.24/27.45  | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | |   (122)  all_58_16 = e3
% 174.24/27.45  | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | COMBINE_EQS: (35), (122) imply:
% 174.24/27.45  | | | | | | | | | | | | |   (123)  all_6_2 = e3
% 174.24/27.45  | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | COMBINE_EQS: (20), (123) imply:
% 174.24/27.45  | | | | | | | | | | | | |   (124)  all_56_0 = e3
% 174.24/27.45  | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | REDUCE: (46), (123) imply:
% 174.24/27.45  | | | | | | | | | | | | |   (125)   ~ (all_52_8 = e3)
% 174.24/27.45  | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | BETA: splitting (33) gives:
% 174.24/27.45  | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | Case 1:
% 174.24/27.45  | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | |   (126)  all_56_0 = e1
% 174.24/27.45  | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | COMBINE_EQS: (124), (126) imply:
% 174.24/27.45  | | | | | | | | | | | | | |   (127)  e3 = e1
% 174.24/27.45  | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | REDUCE: (115), (127) imply:
% 174.24/27.45  | | | | | | | | | | | | | |   (128)  $false
% 174.24/27.45  | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | CLOSE: (128) is inconsistent.
% 174.24/27.45  | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | Case 2:
% 174.24/27.45  | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | |   (129)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.24/27.45  | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | BETA: splitting (129) gives:
% 174.24/27.45  | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | Case 1:
% 174.24/27.45  | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | |   (130)  all_56_2 = e1
% 174.24/27.45  | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | COMBINE_EQS: (38), (130) imply:
% 174.24/27.45  | | | | | | | | | | | | | | |   (131)  all_52_1 = e1
% 174.24/27.45  | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | REDUCE: (32), (131) imply:
% 174.24/27.45  | | | | | | | | | | | | | | |   (132)   ~ (all_4_2 = e1)
% 174.24/27.45  | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | SIMP: (132) implies:
% 174.24/27.45  | | | | | | | | | | | | | | |   (133)   ~ (all_4_2 = e1)
% 174.24/27.45  | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | BETA: splitting (22) gives:
% 174.24/27.45  | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | Case 1:
% 174.24/27.45  | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | |   (134)  all_58_27 = e0
% 174.24/27.45  | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | REF_CLOSE: (23), (52), (134) are inconsistent by sub-proof
% 174.24/27.45  | | | | | | | | | | | | | | | |            #663.
% 174.24/27.45  | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | Case 2:
% 174.24/27.45  | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | |   (135)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.24/27.45  | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | BETA: splitting (135) gives:
% 174.24/27.45  | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | Case 1:
% 174.24/27.45  | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | |   (136)  all_58_26 = e1
% 174.24/27.45  | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | COMBINE_EQS: (16), (136) imply:
% 174.24/27.45  | | | | | | | | | | | | | | | | |   (137)  all_10_2 = e1
% 174.24/27.45  | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | SIMP: (137) implies:
% 174.24/27.45  | | | | | | | | | | | | | | | | |   (138)  all_10_2 = e1
% 174.24/27.45  | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | REDUCE: (30), (138) imply:
% 174.24/27.45  | | | | | | | | | | | | | | | | |   (139)   ~ (all_52_6 = e1)
% 174.24/27.45  | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | REDUCE: (42), (138) imply:
% 174.24/27.45  | | | | | | | | | | | | | | | | |   (140)   ~ (all_52_8 = e1)
% 174.24/27.45  | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 174.24/27.45  | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | Case 1:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | |   (141)  all_54_2 = e0
% 174.24/27.45  | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (66), (141) are inconsistent by sub-proof
% 174.24/27.45  | | | | | | | | | | | | | | | | | |            #763.
% 174.24/27.45  | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | Case 2:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | |   (142)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1
% 174.24/27.45  | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | BETA: splitting (142) gives:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | Case 1:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | |   (143)  all_54_2 = e1
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (140), (143) are inconsistent by sub-proof
% 174.24/27.45  | | | | | | | | | | | | | | | | | | |            #762.
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | Case 2:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | |   (144)  all_54_2 = e3 | all_54_2 = e2
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | Case 1:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | |   (145)  all_54_2 = e2
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19), (145) imply:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | |   (146)  all_52_8 = e2
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | SIMP: (146) implies:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | |   (147)  all_52_8 = e2
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | REDUCE: (25), (147) imply:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | |   (148)  op(e3, e1) = e2
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | |   (149)  all_56_1 = e1
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1), (149) imply:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | |   (150)  all_52_4 = e1
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | SIMP: (150) implies:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | |   (151)  all_52_4 = e1
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (151) imply:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | |   (152)  op(e3, e1) = all_58_1
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (55) with all_14_0, all_58_1, e1,
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | |              e3, simplifying with (116), (152) gives:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | |   (153)  all_58_1 = all_14_0
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (55) with e2, all_58_1, e1, e3,
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | |              simplifying with (148), (152) gives:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | |   (154)  all_58_1 = e2
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (153), (154) imply:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | |   (155)  all_14_0 = e2
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (155) imply:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | |   (156)  $false
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | CLOSE: (156) is inconsistent.
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | |   (157)  all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (51), (59), (83), (133), (139), (157) are
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #660.
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | End of split
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | Case 2:
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | |   (158)  all_54_2 = e3
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (125), (158) are inconsistent by sub-proof
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | |            #758.
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | End of split
% 174.24/27.45  | | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | | End of split
% 174.24/27.45  | | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | End of split
% 174.24/27.45  | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | Case 2:
% 174.24/27.45  | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | |   (159)  all_58_24 = e3 | all_58_25 = e2
% 174.24/27.45  | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | | REF_CLOSE: (49), (65), (99), (125), (159) are inconsistent by
% 174.24/27.45  | | | | | | | | | | | | | | | | |            sub-proof #849.
% 174.24/27.45  | | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | | End of split
% 174.24/27.45  | | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | End of split
% 174.24/27.45  | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | Case 2:
% 174.24/27.45  | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | |   (160)  all_56_6 = e1 | all_56_12 = e1
% 174.24/27.45  | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | | REF_CLOSE: (2), (34), (47), (83), (160) are inconsistent by
% 174.24/27.45  | | | | | | | | | | | | | | |            sub-proof #933.
% 174.24/27.45  | | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | | End of split
% 174.24/27.45  | | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | | End of split
% 174.24/27.45  | | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | End of split
% 174.24/27.45  | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | Case 2:
% 174.24/27.45  | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | |   (161)   ~ (all_50_1 = e3)
% 174.24/27.45  | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | REDUCE: (114), (161) imply:
% 174.24/27.45  | | | | | | | | | | | |   (162)  $false
% 174.24/27.45  | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | | CLOSE: (162) is inconsistent.
% 174.24/27.45  | | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | | End of split
% 174.24/27.45  | | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | | End of split
% 174.24/27.45  | | | | | | | | | | 
% 174.24/27.45  | | | | | | | | | End of split
% 174.24/27.45  | | | | | | | | | 
% 174.24/27.45  | | | | | | | | End of split
% 174.24/27.45  | | | | | | | | 
% 174.24/27.45  | | | | | | | End of split
% 174.24/27.45  | | | | | | | 
% 174.24/27.45  | | | | | | Case 2:
% 174.24/27.45  | | | | | | | 
% 174.24/27.45  | | | | | | |   (163)  all_58_28 = e3
% 174.24/27.45  | | | | | | | 
% 174.24/27.45  | | | | | | | REF_CLOSE: (39), (79), (163) are inconsistent by sub-proof #857.
% 174.24/27.45  | | | | | | | 
% 174.24/27.45  | | | | | | End of split
% 174.24/27.45  | | | | | | 
% 174.24/27.45  | | | | | End of split
% 174.24/27.45  | | | | | 
% 174.24/27.45  | | | | End of split
% 174.24/27.45  | | | | 
% 174.24/27.45  | | | End of split
% 174.24/27.45  | | | 
% 174.24/27.45  | | End of split
% 174.24/27.45  | | 
% 174.24/27.45  | Case 2:
% 174.24/27.45  | | 
% 174.24/27.45  | |   (164)  all_56_8 = e0 | all_56_14 = e0
% 174.24/27.45  | | 
% 174.24/27.45  | | REF_CLOSE: (3), (11), (12), (52), (164) are inconsistent by sub-proof #914.
% 174.24/27.45  | | 
% 174.24/27.45  | End of split
% 174.24/27.45  | 
% 174.24/27.45  End of proof
% 174.24/27.45  
% 174.24/27.45  Sub-proof #660 shows that the following formulas are inconsistent:
% 174.24/27.45  ----------------------------------------------------------------
% 174.24/27.45    (1)   ~ (all_52_6 = e1)
% 174.24/27.45    (2)   ~ (all_4_2 = e1)
% 174.24/27.45    (3)  all_56_13 = e0
% 174.24/27.45    (4)  all_56_3 = all_4_2
% 174.24/27.45    (5)  all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 174.24/27.45    (6)   ~ (e1 = e0)
% 174.24/27.45    (7)  all_56_7 = all_52_6
% 174.24/27.45  
% 174.24/27.45  Begin of proof
% 174.24/27.45  | 
% 174.24/27.45  | BETA: splitting (5) gives:
% 174.24/27.45  | 
% 174.24/27.45  | Case 1:
% 174.24/27.45  | | 
% 174.24/27.45  | |   (8)  all_56_3 = e1
% 174.24/27.45  | | 
% 174.24/27.45  | | COMBINE_EQS: (4), (8) imply:
% 174.24/27.45  | |   (9)  all_4_2 = e1
% 174.24/27.45  | | 
% 174.24/27.45  | | SIMP: (9) implies:
% 174.24/27.45  | |   (10)  all_4_2 = e1
% 174.24/27.45  | | 
% 174.24/27.45  | | REDUCE: (2), (10) imply:
% 174.24/27.45  | |   (11)  $false
% 174.24/27.45  | | 
% 174.24/27.45  | | CLOSE: (11) is inconsistent.
% 174.24/27.45  | | 
% 174.24/27.45  | Case 2:
% 174.24/27.45  | | 
% 174.24/27.45  | |   (12)  all_56_7 = e1 | all_56_13 = e1
% 174.24/27.45  | | 
% 174.24/27.45  | | REF_CLOSE: (1), (3), (6), (7), (12) are inconsistent by sub-proof #661.
% 174.24/27.45  | | 
% 174.24/27.45  | End of split
% 174.24/27.45  | 
% 174.24/27.45  End of proof
% 174.24/27.45  
% 174.24/27.45  Sub-proof #661 shows that the following formulas are inconsistent:
% 174.24/27.45  ----------------------------------------------------------------
% 174.24/27.45    (1)   ~ (all_52_6 = e1)
% 174.24/27.45    (2)  all_56_7 = e1 | all_56_13 = e1
% 174.24/27.45    (3)  all_56_13 = e0
% 174.24/27.45    (4)   ~ (e1 = e0)
% 174.24/27.45    (5)  all_56_7 = all_52_6
% 174.24/27.45  
% 174.24/27.45  Begin of proof
% 174.24/27.45  | 
% 174.24/27.45  | BETA: splitting (2) gives:
% 174.24/27.46  | 
% 174.24/27.46  | Case 1:
% 174.24/27.46  | | 
% 174.24/27.46  | |   (6)  all_56_7 = e1
% 174.24/27.46  | | 
% 174.24/27.46  | | REF_CLOSE: (1), (5), (6) are inconsistent by sub-proof #662.
% 174.24/27.46  | | 
% 174.24/27.46  | Case 2:
% 174.24/27.46  | | 
% 174.24/27.46  | |   (7)  all_56_13 = e1
% 174.24/27.46  | | 
% 174.24/27.46  | | COMBINE_EQS: (3), (7) imply:
% 174.24/27.46  | |   (8)  e1 = e0
% 174.24/27.46  | | 
% 174.24/27.46  | | SIMP: (8) implies:
% 174.24/27.46  | |   (9)  e1 = e0
% 174.24/27.46  | | 
% 174.24/27.46  | | REDUCE: (4), (9) imply:
% 174.24/27.46  | |   (10)  $false
% 174.24/27.46  | | 
% 174.24/27.46  | | CLOSE: (10) is inconsistent.
% 174.24/27.46  | | 
% 174.24/27.46  | End of split
% 174.24/27.46  | 
% 174.24/27.46  End of proof
% 174.24/27.46  
% 174.24/27.46  Sub-proof #662 shows that the following formulas are inconsistent:
% 174.24/27.46  ----------------------------------------------------------------
% 174.24/27.46    (1)  all_56_7 = all_52_6
% 174.24/27.46    (2)  all_56_7 = e1
% 174.24/27.46    (3)   ~ (all_52_6 = e1)
% 174.24/27.46  
% 174.24/27.46  Begin of proof
% 174.24/27.46  | 
% 174.24/27.46  | COMBINE_EQS: (1), (2) imply:
% 174.24/27.46  |   (4)  all_52_6 = e1
% 174.24/27.46  | 
% 174.24/27.46  | SIMP: (4) implies:
% 174.24/27.46  |   (5)  all_52_6 = e1
% 174.24/27.46  | 
% 174.24/27.46  | REDUCE: (3), (5) imply:
% 174.24/27.46  |   (6)  $false
% 174.24/27.46  | 
% 174.24/27.46  | CLOSE: (6) is inconsistent.
% 174.24/27.46  | 
% 174.24/27.46  End of proof
% 174.24/27.46  
% 174.24/27.46  Sub-proof #663 shows that the following formulas are inconsistent:
% 174.24/27.46  ----------------------------------------------------------------
% 174.24/27.46    (1)  all_58_27 = all_52_11
% 174.24/27.46    (2)  all_58_27 = e0
% 174.24/27.46    (3)   ~ (all_52_11 = e0)
% 174.24/27.46  
% 174.24/27.46  Begin of proof
% 174.24/27.46  | 
% 174.24/27.46  | COMBINE_EQS: (1), (2) imply:
% 174.24/27.46  |   (4)  all_52_11 = e0
% 174.24/27.46  | 
% 174.24/27.46  | SIMP: (4) implies:
% 174.24/27.46  |   (5)  all_52_11 = e0
% 174.24/27.46  | 
% 174.24/27.46  | REDUCE: (3), (5) imply:
% 174.24/27.46  |   (6)  $false
% 174.24/27.46  | 
% 174.24/27.46  | CLOSE: (6) is inconsistent.
% 174.24/27.46  | 
% 174.24/27.46  End of proof
% 174.24/27.46  
% 174.24/27.46  Sub-proof #664 shows that the following formulas are inconsistent:
% 174.24/27.46  ----------------------------------------------------------------
% 174.24/27.46    (1)  all_54_11 = all_14_1
% 174.24/27.46    (2)  all_54_11 = e2
% 174.24/27.46    (3)   ~ (all_14_1 = e2)
% 174.24/27.46  
% 174.24/27.46  Begin of proof
% 174.24/27.46  | 
% 174.24/27.46  | COMBINE_EQS: (1), (2) imply:
% 174.24/27.46  |   (4)  all_14_1 = e2
% 174.24/27.46  | 
% 174.24/27.46  | SIMP: (4) implies:
% 174.24/27.46  |   (5)  all_14_1 = e2
% 174.24/27.46  | 
% 174.24/27.46  | REDUCE: (3), (5) imply:
% 174.24/27.46  |   (6)  $false
% 174.24/27.46  | 
% 174.24/27.46  | CLOSE: (6) is inconsistent.
% 174.24/27.46  | 
% 174.24/27.46  End of proof
% 174.24/27.46  
% 174.24/27.46  Sub-proof #665 shows that the following formulas are inconsistent:
% 174.24/27.46  ----------------------------------------------------------------
% 174.24/27.46    (1)  all_54_11 = all_14_1
% 174.24/27.46    (2)  all_54_11 = e1
% 174.24/27.46    (3)   ~ (all_14_1 = e1)
% 174.24/27.46  
% 174.24/27.46  Begin of proof
% 174.24/27.46  | 
% 174.24/27.46  | COMBINE_EQS: (1), (2) imply:
% 174.24/27.46  |   (4)  all_14_1 = e1
% 174.24/27.46  | 
% 174.24/27.46  | SIMP: (4) implies:
% 174.24/27.46  |   (5)  all_14_1 = e1
% 174.24/27.46  | 
% 174.24/27.46  | REDUCE: (3), (5) imply:
% 174.24/27.46  |   (6)  $false
% 174.25/27.46  | 
% 174.25/27.46  | CLOSE: (6) is inconsistent.
% 174.25/27.46  | 
% 174.25/27.46  End of proof
% 174.25/27.46  
% 174.25/27.46  Sub-proof #666 shows that the following formulas are inconsistent:
% 174.25/27.46  ----------------------------------------------------------------
% 174.25/27.46    (1)  all_56_8 = all_10_2
% 174.25/27.46    (2)  all_56_8 = e2
% 174.25/27.46    (3)   ~ (all_10_2 = e2)
% 174.25/27.46  
% 174.25/27.46  Begin of proof
% 174.25/27.46  | 
% 174.25/27.46  | COMBINE_EQS: (1), (2) imply:
% 174.25/27.46  |   (4)  all_10_2 = e2
% 174.25/27.46  | 
% 174.25/27.46  | SIMP: (4) implies:
% 174.25/27.46  |   (5)  all_10_2 = e2
% 174.25/27.46  | 
% 174.25/27.46  | REDUCE: (3), (5) imply:
% 174.25/27.46  |   (6)  $false
% 174.25/27.46  | 
% 174.25/27.46  | CLOSE: (6) is inconsistent.
% 174.25/27.46  | 
% 174.25/27.46  End of proof
% 174.25/27.46  
% 174.25/27.46  Sub-proof #667 shows that the following formulas are inconsistent:
% 174.25/27.46  ----------------------------------------------------------------
% 174.25/27.46    (1)   ~ (all_52_12 = all_14_2)
% 174.25/27.46    (2)  all_54_8 = all_52_2
% 174.25/27.46    (3)  all_56_1 = all_52_4
% 174.25/27.46    (4)   ~ (all_6_0 = e0)
% 174.25/27.46    (5)  op(e1, e3) = all_52_2
% 174.25/27.46    (6)   ~ (all_10_2 = e0)
% 174.25/27.46    (7)   ~ (all_52_8 = all_52_12)
% 174.25/27.46    (8)   ~ (e3 = e1)
% 174.25/27.46    (9)  all_58_23 = all_52_7
% 174.25/27.46    (10)   ~ (all_14_1 = e1)
% 174.25/27.46    (11)   ~ (all_52_2 = all_6_2)
% 174.25/27.46    (12)   ~ (all_52_4 = all_4_2)
% 174.25/27.46    (13)  all_56_5 = all_52_9
% 174.25/27.46    (14)  op(all_6_2, e3) = all_6_1
% 174.25/27.46    (15)   ~ (all_52_12 = all_6_2)
% 174.25/27.46    (16)   ~ (all_52_6 = all_4_2)
% 174.25/27.46    (17)  all_56_11 = all_14_1
% 174.25/27.46    (18)   ~ (all_52_13 = e1)
% 174.25/27.46    (19)  all_56_15 = all_14_2
% 174.25/27.46    (20)  op(all_14_1, e1) = all_14_0
% 174.25/27.46    (21)  all_54_1 = all_52_4
% 174.25/27.46    (22)   ~ (all_52_9 = all_4_2)
% 174.25/27.46    (23)  all_56_14 = all_52_11
% 174.25/27.46    (24)   ~ (all_52_13 = all_4_2)
% 174.25/27.46    (25)  all_56_12 = e0
% 174.25/27.46    (26)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 174.25/27.46    (27)  all_56_8 = all_10_2
% 174.25/27.46    (28)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.25/27.46    (29)  all_58_26 = all_10_2
% 174.25/27.46    (30)   ~ (all_52_4 = all_52_6)
% 174.25/27.46    (31)  all_58_31 = all_14_2
% 174.25/27.46    (32)   ~ (all_52_11 = all_10_2)
% 174.25/27.46    (33)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 174.25/27.46    (34)  op(all_6_1, all_6_2) = all_6_0
% 174.25/27.46    (35)   ~ (all_52_1 = all_6_2)
% 174.25/27.46    (36)  all_56_11 = all_52_14
% 174.25/27.46    (37)  op(e2, e1) = all_52_9
% 174.25/27.46    (38)   ~ (all_52_6 = all_52_7)
% 174.25/27.46    (39)  all_56_0 = all_6_2
% 174.25/27.46    (40)   ~ (all_52_9 = all_10_2)
% 174.25/27.46    (41)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.25/27.46    (42)  all_58_30 = all_52_14
% 174.25/27.46    (43)  all_58_27 = all_52_11
% 174.25/27.46    (44)  all_54_14 = all_52_11
% 174.25/27.46    (45)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 174.25/27.46    (46)  all_56_9 = all_52_12
% 174.25/27.46    (47)   ~ (all_52_2 = all_52_6)
% 174.25/27.46    (48)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 174.25/27.46    (49)   ~ (all_52_12 = e1)
% 174.25/27.46    (50)   ~ (e3 = e2)
% 174.25/27.46    (51)  all_58_30 = all_14_1
% 174.25/27.46    (52)   ~ (all_52_4 = all_52_7)
% 174.25/27.46    (53)   ~ (e2 = e1)
% 174.25/27.46    (54)   ~ (all_52_6 = all_10_2)
% 174.25/27.46    (55)   ~ (all_52_2 = e0)
% 174.25/27.46    (56)  op(e0, e1) = all_52_11
% 174.25/27.46    (57)   ~ (all_52_7 = all_14_2)
% 174.25/27.46    (58)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.25/27.46    (59)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.25/27.46    (60)   ~ (all_52_1 = all_4_2)
% 174.25/27.46    (61)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.25/27.46    (62)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 174.25/27.46    (63)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.25/27.46    (64)   ~ (all_52_13 = all_52_14)
% 174.25/27.46    (65)  op(e2, e3) = all_52_1
% 174.25/27.46    (66)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.25/27.46    (67)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 174.25/27.46    (68)  all_56_13 = all_52_7
% 174.25/27.46    (69)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 174.25/27.46    (70)   ~ (all_52_8 = all_52_9)
% 174.25/27.46    (71)   ~ (all_52_4 = all_6_2)
% 174.25/27.46    (72)  all_56_2 = all_52_1
% 174.25/27.46    (73)   ~ (e3 = e0)
% 174.25/27.46    (74)  all_58_29 = all_52_13
% 174.25/27.46    (75)   ~ (all_52_1 = all_52_2)
% 174.25/27.46    (76)   ~ (all_4_2 = e0)
% 174.25/27.46    (77)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 174.25/27.46    (78)   ~ (all_6_2 = e0)
% 174.25/27.46    (79)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 174.25/27.46    (80)   ~ (all_52_6 = all_52_14)
% 174.25/27.46    (81)   ~ (all_52_7 = all_4_2)
% 174.25/27.46    (82)   ~ (all_52_8 = all_10_2)
% 174.25/27.46    (83)  all_56_4 = all_52_8
% 174.25/27.46    (84)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 174.25/27.46    (85)   ~ (all_52_1 = all_52_13)
% 174.25/27.46    (86)  all_58_20 = all_52_4
% 174.25/27.46    (87)  all_54_13 = all_52_7
% 174.25/27.46    (88)   ~ (all_52_7 = all_52_11)
% 174.25/27.46    (89)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 174.25/27.46    (90)   ~ (all_52_2 = all_14_1)
% 174.25/27.46    (91)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.25/27.46    (92)   ~ (all_52_8 = all_52_11)
% 174.25/27.46    (93)   ~ (all_52_8 = all_6_2)
% 174.25/27.46    (94)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 174.25/27.46    (95)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 174.25/27.46    (96)  all_56_6 = all_52_2
% 174.25/27.46    (97)   ~ (all_52_1 = all_52_9)
% 174.25/27.46    (98)   ~ (all_52_7 = e0)
% 174.25/27.46    (99)  all_58_24 = all_52_8
% 174.25/27.46    (100)   ~ (all_52_9 = all_52_11)
% 174.25/27.46    (101)  all_58_22 = all_52_6
% 174.25/27.46    (102)   ~ (all_52_4 = all_52_12)
% 174.25/27.46    (103)  all_56_3 = all_4_2
% 174.25/27.46    (104)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 174.25/27.46    (105)  all_54_0 = all_6_2
% 174.25/27.46    (106)   ~ (all_52_14 = all_10_2)
% 174.25/27.46    (107)   ~ (all_52_11 = e0)
% 174.25/27.46    (108)   ~ (all_52_1 = e0)
% 174.25/27.46    (109)   ~ (all_52_4 = all_52_8)
% 174.25/27.46    (110)  all_58_25 = all_52_9
% 174.25/27.46    (111)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.25/27.46             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.25/27.46    (112)  all_58_21 = all_4_2
% 174.25/27.46    (113)  all_56_10 = all_52_13
% 174.25/27.46    (114)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 174.25/27.46    (115)   ~ (e2 = e0)
% 174.25/27.46    (116)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 174.25/27.46    (117)  all_58_28 = all_52_12
% 174.25/27.46    (118)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 174.25/27.46    (119)   ~ (e1 = e0)
% 174.25/27.46    (120)  all_54_4 = all_52_1
% 174.25/27.46    (121)  all_56_7 = all_52_6
% 174.25/27.46    (122)  all_58_31 = e1
% 174.25/27.46    (123)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 174.25/27.46    (124)   ~ (all_52_2 = all_10_2)
% 174.25/27.46    (125)  op(e1, e2) = all_52_6
% 174.25/27.46    (126)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.25/27.46    (127)  all_56_15 = e1
% 174.25/27.46    (128)   ~ (all_52_12 = all_52_13)
% 174.25/27.46  
% 174.25/27.46  Begin of proof
% 174.25/27.46  | 
% 174.25/27.46  | BETA: splitting (84) gives:
% 174.25/27.46  | 
% 174.25/27.46  | Case 1:
% 174.25/27.46  | | 
% 174.25/27.46  | |   (129)  all_56_2 = e0
% 174.25/27.46  | | 
% 174.25/27.46  | | COMBINE_EQS: (72), (129) imply:
% 174.25/27.46  | |   (130)  all_52_1 = e0
% 174.25/27.46  | | 
% 174.25/27.46  | | REDUCE: (108), (130) imply:
% 174.25/27.46  | |   (131)  $false
% 174.25/27.46  | | 
% 174.25/27.46  | | CLOSE: (131) is inconsistent.
% 174.25/27.46  | | 
% 174.25/27.46  | Case 2:
% 174.25/27.46  | | 
% 174.25/27.46  | |   (132)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 174.25/27.46  | | 
% 174.25/27.46  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 174.25/27.46  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 174.25/27.46  | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 174.25/27.46  | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (44), (45),
% 174.25/27.46  | |            (46), (47), (48), (49), (50), (51), (52), (53), (54), (55), (56),
% 174.25/27.46  | |            (57), (58), (59), (60), (61), (62), (63), (64), (65), (66), (67),
% 174.25/27.46  | |            (68), (69), (70), (71), (72), (73), (74), (75), (76), (77), (78),
% 174.25/27.46  | |            (79), (80), (81), (82), (83), (85), (86), (87), (88), (89), (90),
% 174.25/27.46  | |            (91), (92), (93), (94), (95), (96), (97), (98), (99), (100),
% 174.25/27.46  | |            (101), (102), (103), (104), (105), (106), (107), (109), (110),
% 174.25/27.46  | |            (111), (112), (113), (114), (115), (116), (117), (118), (119),
% 174.25/27.46  | |            (120), (121), (122), (123), (124), (125), (126), (127), (128),
% 174.25/27.46  | |            (132) are inconsistent by sub-proof #668.
% 174.25/27.46  | | 
% 174.25/27.46  | End of split
% 174.25/27.46  | 
% 174.25/27.46  End of proof
% 174.25/27.46  
% 174.25/27.46  Sub-proof #668 shows that the following formulas are inconsistent:
% 174.25/27.46  ----------------------------------------------------------------
% 174.25/27.46    (1)   ~ (all_52_12 = all_14_2)
% 174.25/27.46    (2)  all_54_8 = all_52_2
% 174.25/27.46    (3)  all_56_1 = all_52_4
% 174.25/27.46    (4)   ~ (all_6_0 = e0)
% 174.25/27.46    (5)  op(e1, e3) = all_52_2
% 174.25/27.46    (6)   ~ (all_10_2 = e0)
% 174.25/27.46    (7)   ~ (all_52_8 = all_52_12)
% 174.25/27.46    (8)   ~ (e3 = e1)
% 174.25/27.46    (9)  all_58_23 = all_52_7
% 174.25/27.46    (10)   ~ (all_14_1 = e1)
% 174.25/27.46    (11)   ~ (all_52_2 = all_6_2)
% 174.25/27.46    (12)   ~ (all_52_4 = all_4_2)
% 174.25/27.46    (13)  all_56_5 = all_52_9
% 174.25/27.46    (14)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 174.25/27.46    (15)  op(all_6_2, e3) = all_6_1
% 174.25/27.46    (16)   ~ (all_52_12 = all_6_2)
% 174.25/27.46    (17)   ~ (all_52_6 = all_4_2)
% 174.25/27.46    (18)  all_56_11 = all_14_1
% 174.25/27.46    (19)   ~ (all_52_13 = e1)
% 174.25/27.46    (20)  all_56_15 = all_14_2
% 174.25/27.46    (21)  op(all_14_1, e1) = all_14_0
% 174.25/27.46    (22)  all_54_1 = all_52_4
% 174.25/27.46    (23)   ~ (all_52_9 = all_4_2)
% 174.25/27.46    (24)  all_56_14 = all_52_11
% 174.25/27.46    (25)   ~ (all_52_13 = all_4_2)
% 174.25/27.46    (26)  all_56_12 = e0
% 174.25/27.46    (27)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 174.25/27.46    (28)  all_56_8 = all_10_2
% 174.25/27.46    (29)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.25/27.46    (30)  all_58_26 = all_10_2
% 174.25/27.46    (31)   ~ (all_52_4 = all_52_6)
% 174.25/27.46    (32)  all_58_31 = all_14_2
% 174.25/27.46    (33)   ~ (all_52_11 = all_10_2)
% 174.25/27.46    (34)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 174.25/27.46    (35)  op(all_6_1, all_6_2) = all_6_0
% 174.25/27.46    (36)   ~ (all_52_1 = all_6_2)
% 174.25/27.46    (37)  all_56_11 = all_52_14
% 174.25/27.46    (38)  op(e2, e1) = all_52_9
% 174.25/27.46    (39)   ~ (all_52_6 = all_52_7)
% 174.25/27.46    (40)  all_56_0 = all_6_2
% 174.25/27.46    (41)   ~ (all_52_9 = all_10_2)
% 174.25/27.46    (42)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.25/27.46    (43)  all_58_30 = all_52_14
% 174.25/27.46    (44)  all_58_27 = all_52_11
% 174.25/27.46    (45)  all_54_14 = all_52_11
% 174.25/27.46    (46)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 174.25/27.46    (47)  all_56_9 = all_52_12
% 174.25/27.46    (48)   ~ (all_52_2 = all_52_6)
% 174.25/27.46    (49)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 174.25/27.46    (50)   ~ (all_52_12 = e1)
% 174.25/27.46    (51)   ~ (e3 = e2)
% 174.25/27.46    (52)  all_58_30 = all_14_1
% 174.25/27.46    (53)   ~ (all_52_4 = all_52_7)
% 174.25/27.46    (54)   ~ (e2 = e1)
% 174.25/27.46    (55)   ~ (all_52_6 = all_10_2)
% 174.25/27.46    (56)   ~ (all_52_2 = e0)
% 174.25/27.46    (57)  op(e0, e1) = all_52_11
% 174.25/27.46    (58)   ~ (all_52_7 = all_14_2)
% 174.25/27.46    (59)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.25/27.46    (60)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.25/27.46    (61)   ~ (all_52_1 = all_4_2)
% 174.25/27.46    (62)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.25/27.46    (63)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 174.25/27.46    (64)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.25/27.46    (65)   ~ (all_52_13 = all_52_14)
% 174.25/27.46    (66)  op(e2, e3) = all_52_1
% 174.25/27.46    (67)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.25/27.46    (68)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 174.25/27.46    (69)  all_56_13 = all_52_7
% 174.25/27.46    (70)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 174.25/27.46    (71)   ~ (all_52_8 = all_52_9)
% 174.25/27.46    (72)   ~ (all_52_4 = all_6_2)
% 174.25/27.46    (73)  all_56_2 = all_52_1
% 174.25/27.46    (74)   ~ (e3 = e0)
% 174.25/27.46    (75)  all_58_29 = all_52_13
% 174.25/27.46    (76)   ~ (all_52_1 = all_52_2)
% 174.25/27.46    (77)   ~ (all_4_2 = e0)
% 174.25/27.46    (78)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 174.25/27.46    (79)   ~ (all_6_2 = e0)
% 174.25/27.46    (80)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 174.25/27.46    (81)   ~ (all_52_6 = all_52_14)
% 174.25/27.46    (82)   ~ (all_52_7 = all_4_2)
% 174.25/27.46    (83)   ~ (all_52_8 = all_10_2)
% 174.25/27.46    (84)  all_56_4 = all_52_8
% 174.25/27.46    (85)   ~ (all_52_1 = all_52_13)
% 174.25/27.46    (86)  all_58_20 = all_52_4
% 174.25/27.46    (87)  all_54_13 = all_52_7
% 174.25/27.46    (88)   ~ (all_52_7 = all_52_11)
% 174.25/27.46    (89)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 174.25/27.46    (90)   ~ (all_52_2 = all_14_1)
% 174.25/27.46    (91)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.25/27.46    (92)   ~ (all_52_8 = all_52_11)
% 174.25/27.46    (93)   ~ (all_52_8 = all_6_2)
% 174.25/27.46    (94)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 174.25/27.46    (95)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 174.25/27.46    (96)  all_56_6 = all_52_2
% 174.25/27.46    (97)   ~ (all_52_1 = all_52_9)
% 174.25/27.46    (98)   ~ (all_52_7 = e0)
% 174.25/27.46    (99)  all_58_24 = all_52_8
% 174.25/27.46    (100)   ~ (all_52_9 = all_52_11)
% 174.25/27.46    (101)  all_58_22 = all_52_6
% 174.25/27.46    (102)   ~ (all_52_4 = all_52_12)
% 174.25/27.46    (103)  all_56_3 = all_4_2
% 174.25/27.46    (104)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 174.25/27.46    (105)  all_54_0 = all_6_2
% 174.25/27.46    (106)   ~ (all_52_14 = all_10_2)
% 174.25/27.46    (107)   ~ (all_52_11 = e0)
% 174.25/27.46    (108)   ~ (all_52_4 = all_52_8)
% 174.25/27.46    (109)  all_58_25 = all_52_9
% 174.25/27.46    (110)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.25/27.46             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.25/27.46    (111)  all_58_21 = all_4_2
% 174.25/27.46    (112)  all_56_10 = all_52_13
% 174.25/27.46    (113)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 174.25/27.46    (114)   ~ (e2 = e0)
% 174.25/27.46    (115)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 174.25/27.46    (116)  all_58_28 = all_52_12
% 174.25/27.46    (117)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 174.25/27.46    (118)   ~ (e1 = e0)
% 174.25/27.46    (119)  all_54_4 = all_52_1
% 174.25/27.46    (120)  all_56_7 = all_52_6
% 174.25/27.46    (121)  all_58_31 = e1
% 174.25/27.46    (122)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 174.25/27.46    (123)   ~ (all_52_2 = all_10_2)
% 174.25/27.46    (124)  op(e1, e2) = all_52_6
% 174.25/27.46    (125)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.25/27.46    (126)  all_56_15 = e1
% 174.25/27.46    (127)   ~ (all_52_12 = all_52_13)
% 174.25/27.46  
% 174.25/27.46  Begin of proof
% 174.25/27.46  | 
% 174.25/27.46  | BETA: splitting (68) gives:
% 174.25/27.46  | 
% 174.25/27.46  | Case 1:
% 174.25/27.46  | | 
% 174.25/27.46  | |   (128)  all_56_1 = e0
% 174.25/27.46  | | 
% 174.25/27.46  | | COMBINE_EQS: (3), (128) imply:
% 174.25/27.46  | |   (129)  all_52_4 = e0
% 174.25/27.46  | | 
% 174.25/27.46  | | COMBINE_EQS: (86), (129) imply:
% 174.25/27.46  | |   (130)  all_58_20 = e0
% 174.25/27.46  | | 
% 174.25/27.46  | | REDUCE: (31), (129) imply:
% 174.25/27.46  | |   (131)   ~ (all_52_6 = e0)
% 174.25/27.46  | | 
% 174.25/27.46  | | SIMP: (131) implies:
% 174.25/27.46  | |   (132)   ~ (all_52_6 = e0)
% 174.25/27.46  | | 
% 174.25/27.46  | | REDUCE: (53), (129) imply:
% 174.25/27.46  | |   (133)   ~ (all_52_7 = e0)
% 174.25/27.46  | | 
% 174.25/27.46  | | REDUCE: (108), (129) imply:
% 174.25/27.46  | |   (134)   ~ (all_52_8 = e0)
% 174.25/27.46  | | 
% 174.25/27.46  | | SIMP: (134) implies:
% 174.25/27.46  | |   (135)   ~ (all_52_8 = e0)
% 174.25/27.46  | | 
% 174.25/27.46  | | BETA: splitting (89) gives:
% 174.25/27.46  | | 
% 174.25/27.46  | | Case 1:
% 174.25/27.46  | | | 
% 174.25/27.46  | | |   (136)  all_56_6 = e0
% 174.25/27.46  | | | 
% 174.25/27.46  | | | COMBINE_EQS: (96), (136) imply:
% 174.25/27.46  | | |   (137)  all_52_2 = e0
% 174.25/27.46  | | | 
% 174.25/27.46  | | | REDUCE: (56), (137) imply:
% 174.25/27.46  | | |   (138)  $false
% 174.25/27.46  | | | 
% 174.25/27.46  | | | CLOSE: (138) is inconsistent.
% 174.25/27.46  | | | 
% 174.25/27.46  | | Case 2:
% 174.25/27.46  | | | 
% 174.25/27.46  | | |   (139)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 174.25/27.46  | | | 
% 174.25/27.46  | | | BETA: splitting (70) gives:
% 174.25/27.46  | | | 
% 174.25/27.46  | | | Case 1:
% 174.25/27.46  | | | | 
% 174.25/27.46  | | | |   (140)  all_56_4 = e0
% 174.25/27.46  | | | | 
% 174.25/27.46  | | | | COMBINE_EQS: (84), (140) imply:
% 174.25/27.46  | | | |   (141)  all_52_8 = e0
% 174.25/27.46  | | | | 
% 174.25/27.46  | | | | REDUCE: (135), (141) imply:
% 174.25/27.46  | | | |   (142)  $false
% 174.25/27.46  | | | | 
% 174.25/27.46  | | | | CLOSE: (142) is inconsistent.
% 174.25/27.46  | | | | 
% 174.25/27.46  | | | Case 2:
% 174.25/27.46  | | | | 
% 174.25/27.46  | | | |   (143)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 174.25/27.46  | | | | 
% 174.25/27.46  | | | | REF_CLOSE: (6), (8), (9), (10), (13), (17), (18), (19), (21), (24),
% 174.25/27.46  | | | |            (28), (30), (36), (40), (41), (42), (44), (47), (50), (54),
% 174.25/27.46  | | | |            (57), (73), (74), (83), (84), (91), (97), (98), (99), (100),
% 174.25/27.46  | | | |            (101), (103), (104), (107), (109), (110), (111), (112),
% 174.25/27.46  | | | |            (113), (114), (120), (128), (130), (132), (139), (143) are
% 174.25/27.46  | | | |            inconsistent by sub-proof #679.
% 174.25/27.46  | | | | 
% 174.25/27.46  | | | End of split
% 174.25/27.46  | | | 
% 174.25/27.46  | | End of split
% 174.25/27.46  | | 
% 174.25/27.46  | Case 2:
% 174.25/27.46  | | 
% 174.25/27.46  | |   (144)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 174.25/27.46  | | 
% 174.25/27.46  | | BETA: splitting (144) gives:
% 174.25/27.46  | | 
% 174.25/27.46  | | Case 1:
% 174.25/27.46  | | | 
% 174.25/27.46  | | |   (145)  all_56_3 = e0
% 174.25/27.46  | | | 
% 174.25/27.46  | | | COMBINE_EQS: (103), (145) imply:
% 174.25/27.46  | | |   (146)  all_4_2 = e0
% 174.25/27.46  | | | 
% 174.25/27.46  | | | REDUCE: (77), (146) imply:
% 174.25/27.46  | | |   (147)  $false
% 174.25/27.46  | | | 
% 174.25/27.46  | | | CLOSE: (147) is inconsistent.
% 174.25/27.46  | | | 
% 174.25/27.46  | | Case 2:
% 174.25/27.46  | | | 
% 174.25/27.46  | | |   (148)  all_56_7 = e0 | all_56_13 = e0
% 174.25/27.46  | | | 
% 174.25/27.46  | | | BETA: splitting (148) gives:
% 174.25/27.46  | | | 
% 174.25/27.46  | | | Case 1:
% 174.25/27.46  | | | | 
% 174.25/27.46  | | | |   (149)  all_56_7 = e0
% 174.25/27.46  | | | | 
% 174.25/27.46  | | | | COMBINE_EQS: (120), (149) imply:
% 174.25/27.46  | | | |   (150)  all_52_6 = e0
% 174.25/27.46  | | | | 
% 174.25/27.46  | | | | COMBINE_EQS: (101), (150) imply:
% 174.25/27.46  | | | |   (151)  all_58_22 = e0
% 174.25/27.46  | | | | 
% 174.25/27.46  | | | | REDUCE: (31), (150) imply:
% 174.25/27.46  | | | |   (152)   ~ (all_52_4 = e0)
% 174.25/27.46  | | | | 
% 174.25/27.46  | | | | REDUCE: (39), (150) imply:
% 174.25/27.46  | | | |   (153)   ~ (all_52_7 = e0)
% 174.25/27.46  | | | | 
% 174.25/27.46  | | | | REDUCE: (55), (150) imply:
% 174.25/27.46  | | | |   (154)   ~ (all_10_2 = e0)
% 174.25/27.46  | | | | 
% 174.25/27.46  | | | | REDUCE: (17), (150) imply:
% 174.25/27.46  | | | |   (155)   ~ (all_4_2 = e0)
% 174.25/27.46  | | | | 
% 174.25/27.46  | | | | REDUCE: (124), (150) imply:
% 174.25/27.46  | | | |   (156)  op(e1, e2) = e0
% 174.25/27.46  | | | | 
% 174.25/27.46  | | | | BETA: splitting (70) gives:
% 174.25/27.46  | | | | 
% 174.25/27.46  | | | | Case 1:
% 174.25/27.46  | | | | | 
% 174.25/27.46  | | | | |   (157)  all_56_4 = e0
% 174.25/27.46  | | | | | 
% 174.25/27.46  | | | | | COMBINE_EQS: (84), (157) imply:
% 174.25/27.46  | | | | |   (158)  all_52_8 = e0
% 174.25/27.46  | | | | | 
% 174.25/27.46  | | | | | COMBINE_EQS: (99), (158) imply:
% 174.25/27.46  | | | | |   (159)  all_58_24 = e0
% 174.25/27.46  | | | | | 
% 174.25/27.46  | | | | | REDUCE: (71), (158) imply:
% 174.25/27.46  | | | | |   (160)   ~ (all_52_9 = e0)
% 174.25/27.46  | | | | | 
% 174.25/27.46  | | | | | SIMP: (160) implies:
% 174.25/27.46  | | | | |   (161)   ~ (all_52_9 = e0)
% 174.25/27.46  | | | | | 
% 174.25/27.46  | | | | | REDUCE: (92), (158) imply:
% 174.25/27.46  | | | | |   (162)   ~ (all_52_11 = e0)
% 174.25/27.46  | | | | | 
% 174.25/27.46  | | | | | BETA: splitting (14) gives:
% 174.25/27.46  | | | | | 
% 174.25/27.46  | | | | | Case 1:
% 174.25/27.46  | | | | | | 
% 174.25/27.46  | | | | | |   (163)  all_56_3 = e0
% 174.25/27.46  | | | | | | 
% 174.25/27.46  | | | | | | COMBINE_EQS: (103), (163) imply:
% 174.25/27.46  | | | | | |   (164)  all_4_2 = e0
% 174.25/27.46  | | | | | | 
% 174.25/27.46  | | | | | | REDUCE: (77), (164) imply:
% 174.25/27.46  | | | | | |   (165)  $false
% 174.25/27.46  | | | | | | 
% 174.25/27.46  | | | | | | CLOSE: (165) is inconsistent.
% 174.25/27.46  | | | | | | 
% 174.25/27.46  | | | | | Case 2:
% 174.25/27.46  | | | | | | 
% 174.25/27.46  | | | | | |   (166)  all_56_5 = e0 | all_56_10 = e0
% 174.25/27.46  | | | | | | 
% 174.25/27.46  | | | | | | BETA: splitting (166) gives:
% 174.25/27.46  | | | | | | 
% 174.25/27.46  | | | | | | Case 1:
% 174.25/27.46  | | | | | | | 
% 174.25/27.46  | | | | | | |   (167)  all_56_5 = e0
% 174.25/27.46  | | | | | | | 
% 174.25/27.46  | | | | | | | COMBINE_EQS: (13), (167) imply:
% 174.25/27.46  | | | | | | |   (168)  all_52_9 = e0
% 174.25/27.46  | | | | | | | 
% 174.25/27.46  | | | | | | | REDUCE: (161), (168) imply:
% 174.25/27.46  | | | | | | |   (169)  $false
% 174.25/27.46  | | | | | | | 
% 174.25/27.46  | | | | | | | CLOSE: (169) is inconsistent.
% 174.25/27.46  | | | | | | | 
% 174.25/27.46  | | | | | | Case 2:
% 174.25/27.46  | | | | | | | 
% 174.25/27.46  | | | | | | |   (170)  all_56_10 = e0
% 174.25/27.46  | | | | | | | 
% 174.25/27.46  | | | | | | | COMBINE_EQS: (112), (170) imply:
% 174.25/27.46  | | | | | | |   (171)  all_52_13 = e0
% 174.25/27.46  | | | | | | | 
% 174.25/27.46  | | | | | | | SIMP: (171) implies:
% 174.25/27.46  | | | | | | |   (172)  all_52_13 = e0
% 174.25/27.46  | | | | | | | 
% 174.25/27.46  | | | | | | | COMBINE_EQS: (75), (172) imply:
% 174.25/27.46  | | | | | | |   (173)  all_58_29 = e0
% 174.25/27.46  | | | | | | | 
% 174.25/27.46  | | | | | | | REDUCE: (85), (172) imply:
% 174.25/27.46  | | | | | | |   (174)   ~ (all_52_1 = e0)
% 174.25/27.46  | | | | | | | 
% 174.25/27.46  | | | | | | | REDUCE: (127), (172) imply:
% 174.25/27.46  | | | | | | |   (175)   ~ (all_52_12 = e0)
% 174.25/27.46  | | | | | | | 
% 174.25/27.46  | | | | | | | REDUCE: (19), (172) imply:
% 174.25/27.46  | | | | | | |   (176)   ~ (e1 = e0)
% 174.25/27.46  | | | | | | | 
% 174.25/27.46  | | | | | | | BETA: splitting (29) gives:
% 174.25/27.46  | | | | | | | 
% 174.25/27.46  | | | | | | | Case 1:
% 174.25/27.46  | | | | | | | | 
% 174.25/27.46  | | | | | | | |   (177)  all_58_31 = e0
% 174.25/27.46  | | | | | | | | 
% 174.25/27.46  | | | | | | | | COMBINE_EQS: (121), (177) imply:
% 174.25/27.46  | | | | | | | |   (178)  e1 = e0
% 174.25/27.46  | | | | | | | | 
% 174.25/27.46  | | | | | | | | REDUCE: (118), (178) imply:
% 174.25/27.46  | | | | | | | |   (179)  $false
% 174.25/27.46  | | | | | | | | 
% 174.25/27.46  | | | | | | | | CLOSE: (179) is inconsistent.
% 174.25/27.46  | | | | | | | | 
% 174.25/27.46  | | | | | | | Case 2:
% 174.25/27.46  | | | | | | | | 
% 174.25/27.46  | | | | | | | |   (180)   ~ (all_58_31 = e0)
% 174.25/27.46  | | | | | | | |   (181)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.25/27.46  | | | | | | | | 
% 174.25/27.46  | | | | | | | | BETA: splitting (181) gives:
% 174.25/27.46  | | | | | | | | 
% 174.25/27.46  | | | | | | | | Case 1:
% 174.25/27.46  | | | | | | | | | 
% 174.25/27.46  | | | | | | | | |   (182)  all_58_30 = e1
% 174.25/27.46  | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | COMBINE_EQS: (52), (182) imply:
% 174.25/27.46  | | | | | | | | |   (183)  all_14_1 = e1
% 174.25/27.46  | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | REDUCE: (10), (183) imply:
% 174.25/27.46  | | | | | | | | |   (184)  $false
% 174.25/27.46  | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | CLOSE: (184) is inconsistent.
% 174.25/27.46  | | | | | | | | | 
% 174.25/27.46  | | | | | | | | Case 2:
% 174.25/27.46  | | | | | | | | | 
% 174.25/27.46  | | | | | | | | |   (185)   ~ (all_58_30 = e1)
% 174.25/27.46  | | | | | | | | |   (186)  all_58_28 = e3 | all_58_29 = e2
% 174.25/27.46  | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | BETA: splitting (186) gives:
% 174.25/27.46  | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | Case 1:
% 174.25/27.46  | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | |   (187)  all_58_29 = e2
% 174.25/27.46  | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | REF_CLOSE: (114), (173), (187) are inconsistent by sub-proof
% 174.25/27.46  | | | | | | | | | |            #889.
% 174.25/27.46  | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | Case 2:
% 174.25/27.46  | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | |   (188)  all_58_28 = e3
% 174.25/27.46  | | | | | | | | | |   (189)   ~ (all_58_29 = e2)
% 174.25/27.46  | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | COMBINE_EQS: (116), (188) imply:
% 174.25/27.46  | | | | | | | | | |   (190)  all_52_12 = e3
% 174.25/27.46  | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | COMBINE_EQS: (47), (190) imply:
% 174.25/27.46  | | | | | | | | | |   (191)  all_56_9 = e3
% 174.25/27.46  | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | REDUCE: (173), (189) imply:
% 174.25/27.46  | | | | | | | | | |   (192)   ~ (e2 = e0)
% 174.25/27.46  | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | REDUCE: (102), (190) imply:
% 174.25/27.46  | | | | | | | | | |   (193)   ~ (all_52_4 = e3)
% 174.25/27.46  | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | REDUCE: (16), (190) imply:
% 174.25/27.46  | | | | | | | | | |   (194)   ~ (all_6_2 = e3)
% 174.25/27.46  | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | SIMP: (194) implies:
% 174.25/27.46  | | | | | | | | | |   (195)   ~ (all_6_2 = e3)
% 174.25/27.46  | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | BETA: splitting (91) gives:
% 174.25/27.46  | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | Case 1:
% 174.25/27.46  | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | |   (196)  all_58_23 = e0
% 174.25/27.46  | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | COMBINE_EQS: (9), (196) imply:
% 174.25/27.46  | | | | | | | | | | |   (197)  all_52_7 = e0
% 174.25/27.46  | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | REDUCE: (98), (197) imply:
% 174.25/27.46  | | | | | | | | | | |   (198)  $false
% 174.25/27.46  | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | CLOSE: (198) is inconsistent.
% 174.25/27.46  | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | Case 2:
% 174.25/27.46  | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | |   (199)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.25/27.46  | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | BETA: splitting (46) gives:
% 174.25/27.46  | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | Case 1:
% 174.25/27.46  | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | |   (200)  all_56_9 = e2
% 174.25/27.46  | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | | COMBINE_EQS: (191), (200) imply:
% 174.25/27.46  | | | | | | | | | | | |   (201)  e3 = e2
% 174.25/27.46  | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | | REDUCE: (51), (201) imply:
% 174.25/27.46  | | | | | | | | | | | |   (202)  $false
% 174.25/27.46  | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | | CLOSE: (202) is inconsistent.
% 174.25/27.46  | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | Case 2:
% 174.25/27.46  | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | |   (203)  all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 174.25/27.46  | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | | BETA: splitting (203) gives:
% 174.25/27.46  | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | | Case 1:
% 174.25/27.46  | | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | | |   (204)  all_56_10 = e2
% 174.25/27.46  | | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | | | COMBINE_EQS: (170), (204) imply:
% 174.25/27.46  | | | | | | | | | | | | |   (205)  e2 = e0
% 174.25/27.46  | | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | | | REDUCE: (114), (205) imply:
% 174.25/27.46  | | | | | | | | | | | | |   (206)  $false
% 174.25/27.46  | | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | | | CLOSE: (206) is inconsistent.
% 174.25/27.46  | | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | | Case 2:
% 174.25/27.46  | | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | | |   (207)  all_56_11 = e2 | all_56_15 = e2
% 174.25/27.46  | | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | | | BETA: splitting (207) gives:
% 174.25/27.46  | | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | | | Case 1:
% 174.25/27.46  | | | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | | | |   (208)  all_56_11 = e2
% 174.25/27.46  | | | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | | | | COMBINE_EQS: (18), (208) imply:
% 174.25/27.46  | | | | | | | | | | | | | |   (209)  all_14_1 = e2
% 174.25/27.46  | | | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | | | | SIMP: (209) implies:
% 174.25/27.46  | | | | | | | | | | | | | |   (210)  all_14_1 = e2
% 174.25/27.46  | | | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | | | | REDUCE: (90), (210) imply:
% 174.25/27.46  | | | | | | | | | | | | | |   (211)   ~ (all_52_2 = e2)
% 174.25/27.46  | | | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 174.25/27.46  | | | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | | | | Case 1:
% 174.25/27.46  | | | | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | | | | |   (212)  all_58_22 = e1
% 174.25/27.46  | | | | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | | | | | REF_CLOSE: (118), (151), (212) are inconsistent by sub-proof
% 174.25/27.46  | | | | | | | | | | | | | | |            #923.
% 174.25/27.46  | | | | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | | | | Case 2:
% 174.25/27.46  | | | | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | | | | |   (213)  all_58_20 = e3 | all_58_21 = e2
% 174.25/27.46  | | | | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 174.25/27.46  | | | | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | | | | | Case 1:
% 174.25/27.46  | | | | | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | | | | | |   (214)  all_58_21 = e2
% 174.25/27.46  | | | | | | | | | | | | | | | | 
% 174.25/27.46  | | | | | | | | | | | | | | | | COMBINE_EQS: (111), (214) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | |   (215)  all_4_2 = e2
% 174.25/27.47  | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | REDUCE: (61), (215) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | |   (216)   ~ (all_52_1 = e2)
% 174.25/27.47  | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | REDUCE: (12), (215) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | |   (217)   ~ (all_52_4 = e2)
% 174.25/27.47  | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | REDUCE: (82), (215) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | |   (218)   ~ (all_52_7 = e2)
% 174.25/27.47  | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | BETA: splitting (63) gives:
% 174.25/27.47  | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | Case 1:
% 174.25/27.47  | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | |   (219)  all_54_1 = e0
% 174.25/27.47  | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (152), (219) are inconsistent by sub-proof
% 174.25/27.47  | | | | | | | | | | | | | | | | |            #866.
% 174.25/27.47  | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | Case 2:
% 174.25/27.47  | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | |   (220)   ~ (all_54_1 = e0)
% 174.25/27.47  | | | | | | | | | | | | | | | | |   (221)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 174.25/27.47  | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 174.25/27.47  | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | Case 1:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | |   (222)  all_56_12 = e2
% 174.25/27.47  | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (26), (222) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | | | |   (223)  e2 = e0
% 174.25/27.47  | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (214), (223) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | | | |   (224)  all_58_21 = e0
% 174.25/27.47  | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | REF_CLOSE: (86), (114), (193), (213), (224) are inconsistent
% 174.25/27.47  | | | | | | | | | | | | | | | | | |            by sub-proof #720.
% 174.25/27.47  | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | Case 2:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | |   (225)  all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 174.25/27.47  | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | Case 1:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | |   (226)  all_56_13 = e2
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (69), (218), (226) are inconsistent by sub-proof
% 174.25/27.47  | | | | | | | | | | | | | | | | | | |            #678.
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | Case 2:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | |   (227)  all_56_14 = e2 | all_56_15 = e2
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | Case 1:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | |   (228)  all_56_14 = e2
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (24), (228) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | |   (229)  all_52_11 = e2
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | SIMP: (229) implies:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | |   (230)  all_52_11 = e2
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (44), (230) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | |   (231)  all_58_27 = e2
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (230) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | |   (232)   ~ (all_52_9 = e2)
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (230) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | |   (233)   ~ (all_10_2 = e2)
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | SIMP: (233) implies:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | |   (234)   ~ (all_10_2 = e2)
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | BETA: splitting (117) gives:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | |   (235)  all_56_1 = e1
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3), (235) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | |   (236)  all_52_4 = e1
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | SIMP: (236) implies:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | |   (237)  all_52_4 = e1
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (237) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | |   (238)   ~ (all_6_2 = e1)
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | SIMP: (238) implies:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | |   (239)   ~ (all_6_2 = e1)
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | REDUCE: (193), (237) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | |   (240)   ~ (e3 = e1)
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | REDUCE: (217), (237) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | |   (241)   ~ (e2 = e1)
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (42) gives:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | |   (242)  all_58_27 = e0
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (231), (242) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | |   (243)  e2 = e0
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | SIMP: (243) implies:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | |   (244)  e2 = e0
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (214), (244) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | |   (245)  all_58_21 = e0
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (31), (40), (47), (50), (86), (101),
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | |            (104), (114), (118), (157), (199), (239), (245)
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #672.
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | |   (246)   ~ (all_58_27 = e0)
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | |   (247)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (59) gives:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | |   (248)  all_54_0 = e1
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (105), (248) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | |   (249)  all_6_2 = e1
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (249) implies:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | |   (250)  all_6_2 = e1
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (40), (250) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | |   (251)  all_56_0 = e1
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (26), (54), (67), (73), (96), (114), (211), (216),
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | |            (251) are inconsistent by sub-proof #731.
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | |   (252)  all_54_0 = e3 | all_54_0 = e2
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | |   (253)  all_54_0 = e2
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (105), (253) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | |   (254)  all_6_2 = e2
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (254) implies:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | |   (255)  all_6_2 = e2
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (40), (255) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | |   (256)  all_56_0 = e2
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (255) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | |   (257)  op(all_6_1, e2) = all_6_0
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (255) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | |   (258)  op(e2, e3) = all_6_1
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  all_58_26 = e1
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (30), (259) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  all_10_2 = e1
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (260) implies:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  all_10_2 = e1
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (261) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (262)   ~ (all_52_2 = e1)
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (80) gives:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  all_54_8 = e0
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (56), (263) are inconsistent by sub-proof
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | |            #839.
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  all_56_6 = e3
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (96), (265) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  all_52_2 = e3
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (266) implies:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  all_52_2 = e3
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (267) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)   ~ (all_52_1 = e3)
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  all_54_4 = e0
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (119), (174), (269) are inconsistent by sub-proof
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #902.
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (54), (62), (66), (73), (110), (119), (156),
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (256), (257), (258), (268), (270) are
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #796.
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)   ~ (all_56_6 = e3)
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (96), (271) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)   ~ (all_52_2 = e3)
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (211), (262), (264), (272) are inconsistent
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #670.
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  all_58_24 = e3 | all_58_25 = e2
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (74), (109), (159), (232), (273) are inconsistent
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #921.
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | |   (274)  all_54_0 = e3
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (195), (274) are inconsistent by sub-proof
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | |            #945.
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | End of split
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | |   (275)   ~ (all_56_1 = e1)
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (275) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | |   (276)   ~ (all_52_4 = e1)
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (22), (86), (111), (193), (213), (221),
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | |            (276) are inconsistent by sub-proof #688.
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | End of split
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | Case 2:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | |   (277)  all_56_15 = e2
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (126), (277) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | |   (278)  e2 = e1
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (278) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | |   (279)  $false
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | CLOSE: (279) is inconsistent.
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | End of split
% 174.25/27.47  | | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | | End of split
% 174.25/27.47  | | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | | End of split
% 174.25/27.47  | | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | End of split
% 174.25/27.47  | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | Case 2:
% 174.25/27.47  | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | |   (280)  all_58_20 = e3
% 174.25/27.47  | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | COMBINE_EQS: (86), (280) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | |   (281)  all_52_4 = e3
% 174.25/27.47  | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | REDUCE: (193), (281) imply:
% 174.25/27.47  | | | | | | | | | | | | | | | |   (282)  $false
% 174.25/27.47  | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | | CLOSE: (282) is inconsistent.
% 174.25/27.47  | | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | | End of split
% 174.25/27.47  | | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | End of split
% 174.25/27.47  | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | Case 2:
% 174.25/27.47  | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | |   (283)  all_56_15 = e2
% 174.25/27.47  | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | COMBINE_EQS: (126), (283) imply:
% 174.25/27.47  | | | | | | | | | | | | | |   (284)  e2 = e1
% 174.25/27.47  | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | REDUCE: (54), (284) imply:
% 174.25/27.47  | | | | | | | | | | | | | |   (285)  $false
% 174.25/27.47  | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | | CLOSE: (285) is inconsistent.
% 174.25/27.47  | | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | | End of split
% 174.25/27.47  | | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | | End of split
% 174.25/27.47  | | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | | End of split
% 174.25/27.47  | | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | | End of split
% 174.25/27.47  | | | | | | | | | | 
% 174.25/27.47  | | | | | | | | | End of split
% 174.25/27.47  | | | | | | | | | 
% 174.25/27.47  | | | | | | | | End of split
% 174.25/27.47  | | | | | | | | 
% 174.25/27.47  | | | | | | | End of split
% 174.25/27.47  | | | | | | | 
% 174.25/27.47  | | | | | | End of split
% 174.25/27.47  | | | | | | 
% 174.25/27.47  | | | | | End of split
% 174.25/27.47  | | | | | 
% 174.25/27.47  | | | | Case 2:
% 174.25/27.47  | | | | | 
% 174.25/27.47  | | | | |   (286)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 174.25/27.47  | | | | | 
% 174.25/27.47  | | | | | BETA: splitting (286) gives:
% 174.25/27.47  | | | | | 
% 174.25/27.47  | | | | | Case 1:
% 174.25/27.47  | | | | | | 
% 174.25/27.47  | | | | | |   (287)  all_56_5 = e0
% 174.25/27.47  | | | | | | 
% 174.25/27.47  | | | | | | COMBINE_EQS: (13), (287) imply:
% 174.25/27.47  | | | | | |   (288)  all_52_9 = e0
% 174.25/27.47  | | | | | | 
% 174.25/27.47  | | | | | | COMBINE_EQS: (109), (288) imply:
% 174.25/27.47  | | | | | |   (289)  all_58_25 = e0
% 174.25/27.47  | | | | | | 
% 174.25/27.47  | | | | | | REDUCE: (97), (288) imply:
% 174.25/27.47  | | | | | |   (290)   ~ (all_52_1 = e0)
% 174.25/27.47  | | | | | | 
% 174.25/27.47  | | | | | | REDUCE: (71), (288) imply:
% 174.25/27.47  | | | | | |   (291)   ~ (all_52_8 = e0)
% 174.25/27.47  | | | | | | 
% 174.25/27.47  | | | | | | REDUCE: (100), (288) imply:
% 174.25/27.47  | | | | | |   (292)   ~ (all_52_11 = e0)
% 174.25/27.47  | | | | | | 
% 174.25/27.47  | | | | | | REDUCE: (38), (288) imply:
% 174.25/27.47  | | | | | |   (293)  op(e2, e1) = e0
% 174.25/27.47  | | | | | | 
% 174.25/27.47  | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (11), (12), (15),
% 174.25/27.47  | | | | | |            (16), (17), (20), (22), (26), (27), (29), (30), (31),
% 174.25/27.47  | | | | | |            (32), (33), (35), (36), (37), (39), (40), (42), (43),
% 174.25/27.47  | | | | | |            (44), (45), (47), (49), (51), (54), (56), (58), (59),
% 174.25/27.47  | | | | | |            (60), (61), (62), (63), (64), (65), (66), (67), (69),
% 174.25/27.47  | | | | | |            (72), (73), (74), (75), (76), (77), (78), (79), (80),
% 174.25/27.47  | | | | | |            (81), (82), (84), (85), (86), (87), (88), (91), (92),
% 174.25/27.47  | | | | | |            (93), (95), (96), (98), (99), (101), (103), (105), (106),
% 174.25/27.47  | | | | | |            (107), (108), (110), (111), (112), (113), (114), (115),
% 174.25/27.47  | | | | | |            (116), (118), (120), (123), (124), (125), (144), (152),
% 174.25/27.47  | | | | | |            (287), (289), (290), (291), (293) are inconsistent by
% 174.25/27.47  | | | | | |            sub-proof #669.
% 174.25/27.47  | | | | | | 
% 174.25/27.47  | | | | | Case 2:
% 174.25/27.47  | | | | | | 
% 174.25/27.47  | | | | | |   (294)  all_56_8 = e0 | all_56_14 = e0
% 174.25/27.47  | | | | | | 
% 174.25/27.47  | | | | | | REF_CLOSE: (6), (24), (28), (107), (294) are inconsistent by
% 174.25/27.47  | | | | | |            sub-proof #914.
% 174.25/27.47  | | | | | | 
% 174.25/27.47  | | | | | End of split
% 174.25/27.47  | | | | | 
% 174.25/27.47  | | | | End of split
% 174.25/27.47  | | | | 
% 174.25/27.47  | | | Case 2:
% 174.25/27.47  | | | | 
% 174.25/27.47  | | | |   (295)  all_56_13 = e0
% 174.25/27.47  | | | | 
% 174.25/27.47  | | | | REF_CLOSE: (69), (98), (295) are inconsistent by sub-proof #942.
% 174.25/27.47  | | | | 
% 174.25/27.47  | | | End of split
% 174.25/27.47  | | | 
% 174.25/27.47  | | End of split
% 174.25/27.47  | | 
% 174.25/27.47  | End of split
% 174.25/27.47  | 
% 174.25/27.47  End of proof
% 174.25/27.47  
% 174.25/27.47  Sub-proof #669 shows that the following formulas are inconsistent:
% 174.25/27.47  ----------------------------------------------------------------
% 174.25/27.47    (1)   ~ (all_52_12 = all_14_2)
% 174.25/27.47    (2)  all_54_8 = all_52_2
% 174.25/27.47    (3)  all_56_1 = all_52_4
% 174.25/27.47    (4)   ~ (all_6_0 = e0)
% 174.25/27.47    (5)  op(e1, e3) = all_52_2
% 174.25/27.47    (6)   ~ (all_52_8 = all_52_12)
% 174.25/27.47    (7)   ~ (e3 = e1)
% 174.25/27.47    (8)  all_58_23 = all_52_7
% 174.25/27.47    (9)   ~ (all_52_2 = all_6_2)
% 174.25/27.47    (10)   ~ (all_52_4 = all_4_2)
% 174.25/27.47    (11)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 174.25/27.47    (12)  op(all_6_2, e3) = all_6_1
% 174.25/27.47    (13)   ~ (all_52_12 = all_6_2)
% 174.25/27.47    (14)   ~ (all_52_6 = all_4_2)
% 174.25/27.47    (15)  op(e2, e1) = e0
% 174.25/27.47    (16)  all_56_15 = all_14_2
% 174.25/27.47    (17)  all_54_1 = all_52_4
% 174.25/27.47    (18)  all_56_12 = e0
% 174.25/27.47    (19)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 174.25/27.47    (20)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.25/27.47    (21)  all_58_26 = all_10_2
% 174.25/27.47    (22)   ~ (all_52_4 = all_52_6)
% 174.25/27.47    (23)  all_58_31 = all_14_2
% 174.25/27.47    (24)   ~ (all_52_11 = all_10_2)
% 174.25/27.47    (25)  all_58_25 = e0
% 174.25/27.47    (26)   ~ (all_52_4 = e0)
% 174.25/27.47    (27)  op(all_6_1, all_6_2) = all_6_0
% 174.25/27.47    (28)   ~ (all_52_1 = all_6_2)
% 174.25/27.47    (29)  all_56_11 = all_52_14
% 174.25/27.47    (30)   ~ (all_52_6 = all_52_7)
% 174.25/27.47    (31)  all_56_0 = all_6_2
% 174.25/27.47    (32)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.25/27.47    (33)  all_58_30 = all_52_14
% 174.25/27.47    (34)  all_58_27 = all_52_11
% 174.25/27.47    (35)  all_54_14 = all_52_11
% 174.25/27.47    (36)  all_56_9 = all_52_12
% 174.25/27.47    (37)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 174.25/27.47    (38)   ~ (e3 = e2)
% 174.25/27.47    (39)   ~ (e2 = e1)
% 174.25/27.47    (40)   ~ (all_52_2 = e0)
% 174.25/27.47    (41)   ~ (all_52_7 = all_14_2)
% 174.25/27.47    (42)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.25/27.47    (43)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.25/27.47    (44)   ~ (all_52_1 = all_4_2)
% 174.25/27.47    (45)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.25/27.47    (46)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 174.25/27.47    (47)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.25/27.47    (48)   ~ (all_52_13 = all_52_14)
% 174.25/27.47    (49)  op(e2, e3) = all_52_1
% 174.25/27.47    (50)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.25/27.47    (51)  all_56_13 = all_52_7
% 174.25/27.47    (52)   ~ (all_52_4 = all_6_2)
% 174.25/27.47    (53)  all_56_2 = all_52_1
% 174.25/27.47    (54)   ~ (e3 = e0)
% 174.25/27.47    (55)  all_58_29 = all_52_13
% 174.25/27.47    (56)   ~ (all_52_1 = all_52_2)
% 174.25/27.47    (57)   ~ (all_4_2 = e0)
% 174.25/27.47    (58)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 174.25/27.47    (59)   ~ (all_6_2 = e0)
% 174.25/27.47    (60)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 174.25/27.47    (61)   ~ (all_52_6 = all_52_14)
% 174.25/27.47    (62)   ~ (all_52_7 = all_4_2)
% 174.25/27.47    (63)  all_56_4 = all_52_8
% 174.25/27.47    (64)   ~ (all_52_1 = all_52_13)
% 174.25/27.47    (65)  all_58_20 = all_52_4
% 174.25/27.47    (66)  all_54_13 = all_52_7
% 174.25/27.47    (67)   ~ (all_52_7 = all_52_11)
% 174.25/27.47    (68)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.25/27.47    (69)   ~ (all_52_8 = all_52_11)
% 174.25/27.47    (70)   ~ (all_52_8 = all_6_2)
% 174.25/27.47    (71)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 174.25/27.47    (72)  all_56_6 = all_52_2
% 174.25/27.47    (73)   ~ (all_52_7 = e0)
% 174.25/27.47    (74)  all_58_24 = all_52_8
% 174.25/27.47    (75)  all_58_22 = all_52_6
% 174.25/27.47    (76)  all_56_3 = all_4_2
% 174.25/27.47    (77)  all_54_0 = all_6_2
% 174.25/27.47    (78)   ~ (all_52_14 = all_10_2)
% 174.25/27.47    (79)   ~ (all_52_11 = e0)
% 174.25/27.47    (80)   ~ (all_52_1 = e0)
% 174.25/27.47    (81)   ~ (all_52_4 = all_52_8)
% 174.25/27.47    (82)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.25/27.47            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.25/27.47    (83)  all_58_21 = all_4_2
% 174.25/27.47    (84)  all_56_10 = all_52_13
% 174.25/27.47    (85)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 174.25/27.47    (86)   ~ (e2 = e0)
% 174.25/27.47    (87)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 174.25/27.47    (88)  all_58_28 = all_52_12
% 174.25/27.47    (89)   ~ (e1 = e0)
% 174.25/27.47    (90)  all_56_5 = e0
% 174.25/27.47    (91)  all_56_7 = all_52_6
% 174.25/27.47    (92)   ~ (all_52_8 = e0)
% 174.25/27.47    (93)   ~ (all_52_2 = all_10_2)
% 174.25/27.47    (94)  op(e1, e2) = all_52_6
% 174.25/27.47    (95)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.25/27.47  
% 174.25/27.47  Begin of proof
% 174.25/27.47  | 
% 174.25/27.47  | BETA: splitting (60) gives:
% 174.25/27.47  | 
% 174.25/27.47  | Case 1:
% 174.25/27.47  | | 
% 174.25/27.47  | |   (96)  all_54_8 = e0
% 174.25/27.47  | | 
% 174.25/27.47  | | REF_CLOSE: (2), (40), (96) are inconsistent by sub-proof #839.
% 174.25/27.47  | | 
% 174.25/27.47  | Case 2:
% 174.25/27.47  | | 
% 174.25/27.47  | |   (97)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 174.25/27.47  | | 
% 174.25/27.47  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 174.25/27.47  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 174.25/27.47  | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 174.25/27.47  | |            (35), (36), (37), (38), (39), (41), (42), (43), (44), (45), (46),
% 174.25/27.47  | |            (47), (48), (49), (50), (51), (52), (53), (54), (55), (56), (57),
% 174.25/27.47  | |            (58), (59), (61), (62), (63), (64), (65), (66), (67), (68), (69),
% 174.25/27.47  | |            (70), (71), (72), (73), (74), (75), (76), (77), (78), (79), (80),
% 174.25/27.47  | |            (81), (82), (83), (84), (85), (86), (87), (88), (89), (90), (91),
% 174.25/27.47  | |            (92), (93), (94), (95), (97) are inconsistent by sub-proof #716.
% 174.25/27.47  | | 
% 174.25/27.47  | End of split
% 174.25/27.47  | 
% 174.25/27.47  End of proof
% 174.25/27.47  
% 174.25/27.47  Sub-proof #670 shows that the following formulas are inconsistent:
% 174.25/27.47  ----------------------------------------------------------------
% 174.25/27.47    (1)  all_54_8 = all_52_2
% 174.25/27.47    (2)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 174.25/27.47    (3)   ~ (all_52_2 = e2)
% 174.25/27.47    (4)   ~ (all_52_2 = e1)
% 174.25/27.47    (5)   ~ (all_52_2 = e3)
% 174.25/27.47  
% 174.25/27.47  Begin of proof
% 174.25/27.47  | 
% 174.25/27.47  | BETA: splitting (2) gives:
% 174.25/27.47  | 
% 174.25/27.47  | Case 1:
% 174.25/27.47  | | 
% 174.25/27.47  | |   (6)  all_54_8 = e1
% 174.25/27.47  | | 
% 174.25/27.47  | | REF_CLOSE: (1), (4), (6) are inconsistent by sub-proof #671.
% 174.25/27.47  | | 
% 174.25/27.47  | Case 2:
% 174.25/27.47  | | 
% 174.25/27.47  | |   (7)  all_54_8 = e3 | all_54_8 = e2
% 174.25/27.47  | | 
% 174.25/27.47  | | REF_CLOSE: (1), (3), (5), (7) are inconsistent by sub-proof #727.
% 174.25/27.47  | | 
% 174.25/27.47  | End of split
% 174.25/27.47  | 
% 174.25/27.47  End of proof
% 174.25/27.47  
% 174.25/27.47  Sub-proof #671 shows that the following formulas are inconsistent:
% 174.25/27.47  ----------------------------------------------------------------
% 174.25/27.47    (1)  all_54_8 = all_52_2
% 174.25/27.47    (2)  all_54_8 = e1
% 174.25/27.47    (3)   ~ (all_52_2 = e1)
% 174.25/27.47  
% 174.25/27.47  Begin of proof
% 174.25/27.47  | 
% 174.25/27.47  | COMBINE_EQS: (1), (2) imply:
% 174.25/27.47  |   (4)  all_52_2 = e1
% 174.25/27.47  | 
% 174.25/27.47  | SIMP: (4) implies:
% 174.25/27.47  |   (5)  all_52_2 = e1
% 174.25/27.47  | 
% 174.25/27.47  | REDUCE: (3), (5) imply:
% 174.25/27.47  |   (6)  $false
% 174.25/27.47  | 
% 174.25/27.47  | CLOSE: (6) is inconsistent.
% 174.25/27.47  | 
% 174.25/27.47  End of proof
% 174.25/27.47  
% 174.25/27.47  Sub-proof #672 shows that the following formulas are inconsistent:
% 174.25/27.47  ----------------------------------------------------------------
% 174.25/27.47    (1)  all_56_1 = all_52_4
% 174.25/27.47    (2)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.25/27.47    (3)   ~ (e3 = e1)
% 174.25/27.47    (4)   ~ (all_52_4 = all_52_6)
% 174.25/27.47    (5)  all_56_0 = all_6_2
% 174.25/27.47    (6)  all_58_21 = e0
% 174.25/27.47    (7)  all_56_9 = all_52_12
% 174.25/27.47    (8)   ~ (all_52_12 = e1)
% 174.25/27.47    (9)  all_56_4 = e0
% 174.25/27.47    (10)   ~ (all_6_2 = e1)
% 174.25/27.47    (11)  all_58_20 = all_52_4
% 174.25/27.47    (12)  all_58_22 = all_52_6
% 174.25/27.47    (13)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 174.25/27.47    (14)   ~ (e2 = e0)
% 174.25/27.47    (15)   ~ (e1 = e0)
% 174.25/27.47  
% 174.25/27.47  Begin of proof
% 174.25/27.47  | 
% 174.25/27.47  | BETA: splitting (13) gives:
% 174.25/27.47  | 
% 174.25/27.47  | Case 1:
% 174.25/27.47  | | 
% 174.25/27.47  | |   (16)  all_56_0 = e1
% 174.25/27.47  | | 
% 174.25/27.47  | | COMBINE_EQS: (5), (16) imply:
% 174.25/27.47  | |   (17)  all_6_2 = e1
% 174.25/27.47  | | 
% 174.25/27.47  | | REDUCE: (10), (17) imply:
% 174.25/27.47  | |   (18)  $false
% 174.25/27.47  | | 
% 174.25/27.47  | | CLOSE: (18) is inconsistent.
% 174.25/27.47  | | 
% 174.25/27.47  | Case 2:
% 174.25/27.47  | | 
% 174.25/27.47  | |   (19)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 174.25/27.47  | | 
% 174.25/27.47  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (11), (12), (14), (15),
% 174.25/27.47  | |            (19) are inconsistent by sub-proof #673.
% 174.25/27.47  | | 
% 174.25/27.47  | End of split
% 174.25/27.47  | 
% 174.25/27.47  End of proof
% 174.25/27.47  
% 174.25/27.47  Sub-proof #673 shows that the following formulas are inconsistent:
% 174.25/27.47  ----------------------------------------------------------------
% 174.25/27.47    (1)  all_56_1 = all_52_4
% 174.25/27.47    (2)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.25/27.47    (3)   ~ (e3 = e1)
% 174.25/27.47    (4)   ~ (all_52_4 = all_52_6)
% 174.25/27.47    (5)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 174.25/27.47    (6)  all_58_21 = e0
% 174.25/27.47    (7)  all_56_9 = all_52_12
% 174.25/27.47    (8)   ~ (all_52_12 = e1)
% 174.25/27.47    (9)  all_56_4 = e0
% 174.25/27.47    (10)  all_58_20 = all_52_4
% 174.25/27.47    (11)  all_58_22 = all_52_6
% 174.25/27.47    (12)   ~ (e2 = e0)
% 174.25/27.47    (13)   ~ (e1 = e0)
% 174.25/27.47  
% 174.25/27.47  Begin of proof
% 174.25/27.47  | 
% 174.25/27.47  | BETA: splitting (5) gives:
% 174.25/27.47  | 
% 174.25/27.47  | Case 1:
% 174.25/27.47  | | 
% 174.25/27.47  | |   (14)  all_56_1 = e1
% 174.25/27.47  | | 
% 174.25/27.47  | | COMBINE_EQS: (1), (14) imply:
% 174.25/27.47  | |   (15)  all_52_4 = e1
% 174.25/27.47  | | 
% 174.25/27.47  | | COMBINE_EQS: (10), (15) imply:
% 174.25/27.47  | |   (16)  all_58_20 = e1
% 174.25/27.47  | | 
% 174.25/27.47  | | REDUCE: (4), (15) imply:
% 174.25/27.47  | |   (17)   ~ (all_52_6 = e1)
% 174.25/27.47  | | 
% 174.25/27.47  | | SIMP: (17) implies:
% 174.25/27.47  | |   (18)   ~ (all_52_6 = e1)
% 174.25/27.47  | | 
% 174.25/27.47  | | REF_CLOSE: (2), (3), (6), (11), (12), (16), (18) are inconsistent by
% 174.25/27.47  | |            sub-proof #675.
% 174.25/27.47  | | 
% 174.25/27.47  | Case 2:
% 174.25/27.47  | | 
% 174.25/27.47  | |   (19)  all_56_4 = e1 | all_56_9 = e1
% 174.25/27.47  | | 
% 174.25/27.47  | | REF_CLOSE: (7), (8), (9), (13), (19) are inconsistent by sub-proof #674.
% 174.25/27.47  | | 
% 174.25/27.47  | End of split
% 174.25/27.47  | 
% 174.25/27.47  End of proof
% 174.25/27.47  
% 174.25/27.47  Sub-proof #674 shows that the following formulas are inconsistent:
% 174.25/27.47  ----------------------------------------------------------------
% 174.25/27.47    (1)  all_56_4 = e1 | all_56_9 = e1
% 174.25/27.47    (2)  all_56_9 = all_52_12
% 174.25/27.47    (3)   ~ (all_52_12 = e1)
% 174.25/27.47    (4)  all_56_4 = e0
% 174.25/27.47    (5)   ~ (e1 = e0)
% 174.25/27.47  
% 174.25/27.47  Begin of proof
% 174.25/27.47  | 
% 174.25/27.47  | BETA: splitting (1) gives:
% 174.25/27.47  | 
% 174.25/27.47  | Case 1:
% 174.25/27.47  | | 
% 174.25/27.47  | |   (6)  all_56_4 = e1
% 174.25/27.47  | | 
% 174.25/27.47  | | REF_CLOSE: (4), (5), (6) are inconsistent by sub-proof #834.
% 174.25/27.47  | | 
% 174.25/27.47  | Case 2:
% 174.25/27.47  | | 
% 174.25/27.47  | |   (7)  all_56_9 = e1
% 174.25/27.47  | | 
% 174.25/27.47  | | REF_CLOSE: (2), (3), (7) are inconsistent by sub-proof #683.
% 174.25/27.47  | | 
% 174.25/27.47  | End of split
% 174.25/27.47  | 
% 174.25/27.47  End of proof
% 174.25/27.47  
% 174.25/27.47  Sub-proof #675 shows that the following formulas are inconsistent:
% 174.25/27.47  ----------------------------------------------------------------
% 174.25/27.47    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.25/27.47    (2)   ~ (e3 = e1)
% 174.25/27.47    (3)  all_58_20 = e1
% 174.25/27.47    (4)   ~ (all_52_6 = e1)
% 174.25/27.47    (5)  all_58_21 = e0
% 174.25/27.47    (6)  all_58_22 = all_52_6
% 174.25/27.47    (7)   ~ (e2 = e0)
% 174.25/27.47  
% 174.25/27.47  Begin of proof
% 174.25/27.47  | 
% 174.25/27.47  | BETA: splitting (1) gives:
% 174.25/27.47  | 
% 174.25/27.47  | Case 1:
% 174.25/27.47  | | 
% 174.25/27.47  | |   (8)  all_58_22 = e1
% 174.25/27.47  | | 
% 174.25/27.47  | | REF_CLOSE: (4), (6), (8) are inconsistent by sub-proof #677.
% 174.25/27.47  | | 
% 174.25/27.47  | Case 2:
% 174.25/27.47  | | 
% 174.25/27.47  | |   (9)  all_58_20 = e3 | all_58_21 = e2
% 174.25/27.47  | | 
% 174.25/27.47  | | REF_CLOSE: (2), (3), (5), (7), (9) are inconsistent by sub-proof #676.
% 174.25/27.47  | | 
% 174.25/27.47  | End of split
% 174.25/27.47  | 
% 174.25/27.47  End of proof
% 174.25/27.47  
% 174.25/27.47  Sub-proof #676 shows that the following formulas are inconsistent:
% 174.25/27.47  ----------------------------------------------------------------
% 174.25/27.47    (1)   ~ (e3 = e1)
% 174.25/27.47    (2)  all_58_20 = e1
% 174.25/27.47    (3)  all_58_21 = e0
% 174.25/27.47    (4)  all_58_20 = e3 | all_58_21 = e2
% 174.25/27.47    (5)   ~ (e2 = e0)
% 174.25/27.47  
% 174.25/27.47  Begin of proof
% 174.25/27.47  | 
% 174.25/27.47  | BETA: splitting (4) gives:
% 174.25/27.47  | 
% 174.25/27.47  | Case 1:
% 174.25/27.47  | | 
% 174.25/27.47  | |   (6)  all_58_21 = e2
% 174.25/27.47  | | 
% 174.25/27.47  | | COMBINE_EQS: (3), (6) imply:
% 174.25/27.47  | |   (7)  e2 = e0
% 174.25/27.47  | | 
% 174.25/27.47  | | REDUCE: (5), (7) imply:
% 174.25/27.47  | |   (8)  $false
% 174.25/27.47  | | 
% 174.25/27.47  | | CLOSE: (8) is inconsistent.
% 174.25/27.47  | | 
% 174.25/27.47  | Case 2:
% 174.25/27.47  | | 
% 174.25/27.47  | |   (9)  all_58_20 = e3
% 174.25/27.47  | | 
% 174.25/27.47  | | COMBINE_EQS: (2), (9) imply:
% 174.25/27.47  | |   (10)  e3 = e1
% 174.25/27.47  | | 
% 174.25/27.47  | | REDUCE: (1), (10) imply:
% 174.25/27.47  | |   (11)  $false
% 174.25/27.47  | | 
% 174.25/27.47  | | CLOSE: (11) is inconsistent.
% 174.25/27.47  | | 
% 174.25/27.47  | End of split
% 174.25/27.47  | 
% 174.25/27.47  End of proof
% 174.25/27.47  
% 174.25/27.47  Sub-proof #677 shows that the following formulas are inconsistent:
% 174.25/27.47  ----------------------------------------------------------------
% 174.25/27.47    (1)  all_58_22 = all_52_6
% 174.25/27.47    (2)  all_58_22 = e1
% 174.25/27.47    (3)   ~ (all_52_6 = e1)
% 174.25/27.47  
% 174.25/27.47  Begin of proof
% 174.25/27.47  | 
% 174.25/27.47  | COMBINE_EQS: (1), (2) imply:
% 174.25/27.47  |   (4)  all_52_6 = e1
% 174.25/27.47  | 
% 174.25/27.47  | SIMP: (4) implies:
% 174.25/27.47  |   (5)  all_52_6 = e1
% 174.25/27.47  | 
% 174.25/27.47  | REDUCE: (3), (5) imply:
% 174.25/27.47  |   (6)  $false
% 174.25/27.47  | 
% 174.25/27.47  | CLOSE: (6) is inconsistent.
% 174.25/27.47  | 
% 174.25/27.47  End of proof
% 174.25/27.47  
% 174.25/27.47  Sub-proof #678 shows that the following formulas are inconsistent:
% 174.25/27.47  ----------------------------------------------------------------
% 174.25/27.47    (1)  all_56_13 = all_52_7
% 174.25/27.47    (2)  all_56_13 = e2
% 174.25/27.47    (3)   ~ (all_52_7 = e2)
% 174.25/27.47  
% 174.25/27.47  Begin of proof
% 174.25/27.47  | 
% 174.25/27.47  | COMBINE_EQS: (1), (2) imply:
% 174.25/27.47  |   (4)  all_52_7 = e2
% 174.25/27.47  | 
% 174.25/27.47  | SIMP: (4) implies:
% 174.25/27.47  |   (5)  all_52_7 = e2
% 174.25/27.47  | 
% 174.25/27.47  | REDUCE: (3), (5) imply:
% 174.25/27.47  |   (6)  $false
% 174.25/27.47  | 
% 174.25/27.47  | CLOSE: (6) is inconsistent.
% 174.25/27.47  | 
% 174.25/27.47  End of proof
% 174.25/27.47  
% 174.25/27.47  Sub-proof #679 shows that the following formulas are inconsistent:
% 174.25/27.47  ----------------------------------------------------------------
% 174.25/27.47    (1)   ~ (all_10_2 = e0)
% 174.25/27.47    (2)   ~ (e3 = e1)
% 174.25/27.47    (3)  all_58_23 = all_52_7
% 174.25/27.47    (4)   ~ (all_14_1 = e1)
% 174.25/27.47    (5)  all_56_5 = all_52_9
% 174.25/27.47    (6)   ~ (all_52_6 = all_4_2)
% 174.25/27.47    (7)  all_56_11 = all_14_1
% 174.25/27.47    (8)   ~ (all_52_13 = e1)
% 174.25/27.47    (9)  op(all_14_1, e1) = all_14_0
% 174.25/27.47    (10)  all_56_14 = all_52_11
% 174.25/27.47    (11)  all_56_8 = all_10_2
% 174.25/27.47    (12)  all_58_26 = all_10_2
% 174.25/27.47    (13)   ~ (all_52_1 = all_6_2)
% 174.25/27.47    (14)  all_56_0 = all_6_2
% 174.25/27.47    (15)   ~ (all_52_9 = all_10_2)
% 174.25/27.47    (16)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.25/27.47    (17)  all_58_27 = all_52_11
% 174.25/27.47    (18)  all_58_20 = e0
% 174.25/27.47    (19)  all_56_9 = all_52_12
% 174.25/27.47    (20)   ~ (all_52_12 = e1)
% 174.25/27.47    (21)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 174.25/27.47    (22)   ~ (e2 = e1)
% 174.25/27.47    (23)  op(e0, e1) = all_52_11
% 174.25/27.47    (24)  all_56_1 = e0
% 174.25/27.47    (25)  all_56_2 = all_52_1
% 174.25/27.47    (26)   ~ (e3 = e0)
% 174.25/27.47    (27)   ~ (all_52_8 = all_10_2)
% 174.25/27.47    (28)  all_56_4 = all_52_8
% 174.25/27.47    (29)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.25/27.47    (30)   ~ (all_52_1 = all_52_9)
% 174.25/27.47    (31)   ~ (all_52_7 = e0)
% 174.25/27.47    (32)  all_58_24 = all_52_8
% 174.25/27.47    (33)   ~ (all_52_9 = all_52_11)
% 174.25/27.47    (34)  all_58_22 = all_52_6
% 174.25/27.47    (35)  all_56_3 = all_4_2
% 174.25/27.47    (36)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 174.25/27.47    (37)   ~ (all_52_11 = e0)
% 174.25/27.47    (38)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 174.25/27.47    (39)  all_58_25 = all_52_9
% 174.25/27.47    (40)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.25/27.47            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.25/27.47    (41)   ~ (all_52_6 = e0)
% 174.25/27.47    (42)  all_58_21 = all_4_2
% 174.25/27.47    (43)  all_56_10 = all_52_13
% 174.25/27.47    (44)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 174.25/27.47    (45)   ~ (e2 = e0)
% 174.25/27.47    (46)  all_56_7 = all_52_6
% 174.25/27.47  
% 174.25/27.47  Begin of proof
% 174.25/27.47  | 
% 174.25/27.47  | BETA: splitting (21) gives:
% 174.25/27.47  | 
% 174.25/27.47  | Case 1:
% 174.25/27.47  | | 
% 174.25/27.47  | |   (47)  all_56_7 = e0
% 174.25/27.47  | | 
% 174.25/27.47  | | COMBINE_EQS: (46), (47) imply:
% 174.25/27.47  | |   (48)  all_52_6 = e0
% 174.25/27.47  | | 
% 174.25/27.47  | | REDUCE: (41), (48) imply:
% 174.25/27.47  | |   (49)  $false
% 174.25/27.47  | | 
% 174.25/27.47  | | CLOSE: (49) is inconsistent.
% 174.25/27.47  | | 
% 174.25/27.47  | Case 2:
% 174.25/27.47  | | 
% 174.25/27.47  | |   (50)  all_56_8 = e0 | all_56_11 = e0
% 174.25/27.47  | | 
% 174.25/27.47  | | BETA: splitting (38) gives:
% 174.25/27.47  | | 
% 174.25/27.47  | | Case 1:
% 174.25/27.47  | | | 
% 174.25/27.47  | | |   (51)  all_56_5 = e0
% 174.25/27.47  | | | 
% 174.25/27.47  | | | COMBINE_EQS: (5), (51) imply:
% 174.25/27.47  | | |   (52)  all_52_9 = e0
% 174.25/27.47  | | | 
% 174.25/27.47  | | | COMBINE_EQS: (39), (52) imply:
% 174.25/27.47  | | |   (53)  all_58_25 = e0
% 174.25/27.47  | | | 
% 174.25/27.47  | | | REDUCE: (30), (52) imply:
% 174.25/27.47  | | |   (54)   ~ (all_52_1 = e0)
% 174.25/27.47  | | | 
% 174.25/27.47  | | | REDUCE: (33), (52) imply:
% 174.25/27.47  | | |   (55)   ~ (all_52_11 = e0)
% 174.25/27.47  | | | 
% 174.25/27.47  | | | REDUCE: (15), (52) imply:
% 174.25/27.47  | | |   (56)   ~ (all_10_2 = e0)
% 174.25/27.47  | | | 
% 174.25/27.47  | | | BETA: splitting (50) gives:
% 174.25/27.47  | | | 
% 174.25/27.47  | | | Case 1:
% 174.25/27.47  | | | | 
% 174.25/27.47  | | | |   (57)  all_56_8 = e0
% 174.25/27.47  | | | | 
% 174.25/27.47  | | | | COMBINE_EQS: (11), (57) imply:
% 174.25/27.47  | | | |   (58)  all_10_2 = e0
% 174.25/27.47  | | | | 
% 174.25/27.47  | | | | REDUCE: (1), (58) imply:
% 174.25/27.47  | | | |   (59)  $false
% 174.25/27.47  | | | | 
% 174.25/27.47  | | | | CLOSE: (59) is inconsistent.
% 174.25/27.47  | | | | 
% 174.25/27.47  | | | Case 2:
% 174.25/27.47  | | | | 
% 174.25/27.47  | | | |   (60)  all_56_11 = e0
% 174.25/27.47  | | | | 
% 174.25/27.47  | | | | COMBINE_EQS: (7), (60) imply:
% 174.25/27.47  | | | |   (61)  all_14_1 = e0
% 174.25/27.47  | | | | 
% 174.25/27.47  | | | | SIMP: (61) implies:
% 174.25/27.47  | | | |   (62)  all_14_1 = e0
% 174.25/27.47  | | | | 
% 174.25/27.47  | | | | REDUCE: (4), (62) imply:
% 174.25/27.47  | | | |   (63)   ~ (e1 = e0)
% 174.25/27.47  | | | | 
% 174.25/27.47  | | | | SIMP: (63) implies:
% 174.25/27.47  | | | |   (64)   ~ (e1 = e0)
% 174.25/27.47  | | | | 
% 174.25/27.48  | | | | REDUCE: (9), (62) imply:
% 174.25/27.48  | | | |   (65)  op(e0, e1) = all_14_0
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | GROUND_INST: instantiating (40) with all_52_11, all_14_0, e1, e0,
% 174.25/27.48  | | | |              simplifying with (23), (65) gives:
% 174.25/27.48  | | | |   (66)  all_52_11 = all_14_0
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | COMBINE_EQS: (17), (66) imply:
% 174.25/27.48  | | | |   (67)  all_58_27 = all_14_0
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | REDUCE: (37), (66) imply:
% 174.25/27.48  | | | |   (68)   ~ (all_14_0 = e0)
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | REF_CLOSE: (2), (3), (6), (8), (12), (13), (14), (16), (18), (19), (20),
% 174.25/27.48  | | | |            (22), (24), (25), (26), (27), (28), (29), (31), (32), (34),
% 174.25/27.48  | | | |            (35), (36), (42), (43), (44), (45), (51), (53), (54), (64),
% 174.25/27.48  | | | |            (67), (68) are inconsistent by sub-proof #680.
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | End of split
% 174.25/27.48  | | | 
% 174.25/27.48  | | Case 2:
% 174.25/27.48  | | | 
% 174.25/27.48  | | |   (69)  all_56_8 = e0 | all_56_14 = e0
% 174.25/27.48  | | | 
% 174.25/27.48  | | | REF_CLOSE: (1), (10), (11), (37), (69) are inconsistent by sub-proof #914.
% 174.25/27.48  | | | 
% 174.25/27.48  | | End of split
% 174.25/27.48  | | 
% 174.25/27.48  | End of split
% 174.25/27.48  | 
% 174.25/27.48  End of proof
% 174.25/27.48  
% 174.25/27.48  Sub-proof #680 shows that the following formulas are inconsistent:
% 174.25/27.48  ----------------------------------------------------------------
% 174.25/27.48    (1)   ~ (e3 = e1)
% 174.25/27.48    (2)  all_58_23 = all_52_7
% 174.25/27.48    (3)   ~ (all_52_6 = all_4_2)
% 174.25/27.48    (4)   ~ (all_52_13 = e1)
% 174.25/27.48    (5)  all_58_26 = all_10_2
% 174.25/27.48    (6)  all_58_25 = e0
% 174.25/27.48    (7)   ~ (all_52_1 = all_6_2)
% 174.25/27.48    (8)  all_56_0 = all_6_2
% 174.25/27.48    (9)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.25/27.48    (10)  all_58_20 = e0
% 174.25/27.48    (11)  all_56_9 = all_52_12
% 174.25/27.48    (12)   ~ (all_52_12 = e1)
% 174.25/27.48    (13)   ~ (e2 = e1)
% 174.25/27.48    (14)  all_56_1 = e0
% 174.25/27.48    (15)  all_56_2 = all_52_1
% 174.25/27.48    (16)   ~ (e3 = e0)
% 174.25/27.48    (17)   ~ (all_52_8 = all_10_2)
% 174.25/27.48    (18)  all_56_4 = all_52_8
% 174.25/27.48    (19)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.25/27.48    (20)  all_58_27 = all_14_0
% 174.25/27.48    (21)   ~ (all_52_7 = e0)
% 174.25/27.48    (22)  all_58_24 = all_52_8
% 174.25/27.48    (23)  all_58_22 = all_52_6
% 174.25/27.48    (24)  all_56_3 = all_4_2
% 174.25/27.48    (25)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 174.25/27.48    (26)   ~ (all_14_0 = e0)
% 174.25/27.48    (27)   ~ (all_52_1 = e0)
% 174.25/27.48    (28)  all_58_21 = all_4_2
% 174.25/27.48    (29)  all_56_10 = all_52_13
% 174.25/27.48    (30)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 174.25/27.48    (31)   ~ (e2 = e0)
% 174.25/27.48    (32)   ~ (e1 = e0)
% 174.25/27.48    (33)  all_56_5 = e0
% 174.25/27.48  
% 174.25/27.48  Begin of proof
% 174.25/27.48  | 
% 174.25/27.48  | BETA: splitting (30) gives:
% 174.25/27.48  | 
% 174.25/27.48  | Case 1:
% 174.25/27.48  | | 
% 174.25/27.48  | |   (34)  all_56_2 = e1
% 174.25/27.48  | | 
% 174.25/27.48  | | COMBINE_EQS: (15), (34) imply:
% 174.25/27.48  | |   (35)  all_52_1 = e1
% 174.25/27.48  | | 
% 174.25/27.48  | | REDUCE: (7), (35) imply:
% 174.25/27.48  | |   (36)   ~ (all_6_2 = e1)
% 174.25/27.48  | | 
% 174.25/27.48  | | SIMP: (36) implies:
% 174.25/27.48  | |   (37)   ~ (all_6_2 = e1)
% 174.25/27.48  | | 
% 174.25/27.48  | | BETA: splitting (25) gives:
% 174.25/27.48  | | 
% 174.25/27.48  | | Case 1:
% 174.25/27.48  | | | 
% 174.25/27.48  | | |   (38)  all_56_0 = e1
% 174.25/27.48  | | | 
% 174.25/27.48  | | | COMBINE_EQS: (8), (38) imply:
% 174.25/27.48  | | |   (39)  all_6_2 = e1
% 174.25/27.48  | | | 
% 174.25/27.48  | | | REDUCE: (37), (39) imply:
% 174.25/27.48  | | |   (40)  $false
% 174.25/27.48  | | | 
% 174.25/27.48  | | | CLOSE: (40) is inconsistent.
% 174.25/27.48  | | | 
% 174.25/27.48  | | Case 2:
% 174.25/27.48  | | | 
% 174.25/27.48  | | |   (41)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 174.25/27.48  | | | 
% 174.25/27.48  | | | BETA: splitting (41) gives:
% 174.25/27.48  | | | 
% 174.25/27.48  | | | Case 1:
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | |   (42)  all_56_1 = e1
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | REF_CLOSE: (14), (32), (42) are inconsistent by sub-proof #754.
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | Case 2:
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | |   (43)  all_56_4 = e1 | all_56_9 = e1
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | BETA: splitting (43) gives:
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | Case 1:
% 174.25/27.48  | | | | | 
% 174.25/27.48  | | | | |   (44)  all_56_4 = e1
% 174.25/27.48  | | | | | 
% 174.25/27.48  | | | | | COMBINE_EQS: (18), (44) imply:
% 174.25/27.48  | | | | |   (45)  all_52_8 = e1
% 174.25/27.48  | | | | | 
% 174.25/27.48  | | | | | COMBINE_EQS: (22), (45) imply:
% 174.25/27.48  | | | | |   (46)  all_58_24 = e1
% 174.25/27.48  | | | | | 
% 174.25/27.48  | | | | | REDUCE: (17), (45) imply:
% 174.25/27.48  | | | | |   (47)   ~ (all_10_2 = e1)
% 174.25/27.48  | | | | | 
% 174.25/27.48  | | | | | SIMP: (47) implies:
% 174.25/27.48  | | | | |   (48)   ~ (all_10_2 = e1)
% 174.25/27.48  | | | | | 
% 174.25/27.48  | | | | | BETA: splitting (9) gives:
% 174.25/27.48  | | | | | 
% 174.25/27.48  | | | | | Case 1:
% 174.25/27.48  | | | | | | 
% 174.25/27.48  | | | | | |   (49)  all_58_27 = e0
% 174.25/27.48  | | | | | | 
% 174.25/27.48  | | | | | | COMBINE_EQS: (20), (49) imply:
% 174.25/27.48  | | | | | |   (50)  all_14_0 = e0
% 174.25/27.48  | | | | | | 
% 174.25/27.48  | | | | | | REDUCE: (26), (50) imply:
% 174.25/27.48  | | | | | |   (51)  $false
% 174.25/27.48  | | | | | | 
% 174.25/27.48  | | | | | | CLOSE: (51) is inconsistent.
% 174.25/27.48  | | | | | | 
% 174.25/27.48  | | | | | Case 2:
% 174.25/27.48  | | | | | | 
% 174.25/27.48  | | | | | |   (52)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.25/27.48  | | | | | | 
% 174.25/27.48  | | | | | | BETA: splitting (52) gives:
% 174.25/27.48  | | | | | | 
% 174.25/27.48  | | | | | | Case 1:
% 174.25/27.48  | | | | | | | 
% 174.25/27.48  | | | | | | |   (53)  all_58_26 = e1
% 174.25/27.48  | | | | | | | 
% 174.25/27.48  | | | | | | | REF_CLOSE: (5), (48), (53) are inconsistent by sub-proof #968.
% 174.25/27.48  | | | | | | | 
% 174.25/27.48  | | | | | | Case 2:
% 174.25/27.48  | | | | | | | 
% 174.25/27.48  | | | | | | |   (54)  all_58_24 = e3 | all_58_25 = e2
% 174.25/27.48  | | | | | | | 
% 174.25/27.48  | | | | | | | REF_CLOSE: (1), (6), (31), (46), (54) are inconsistent by
% 174.25/27.48  | | | | | | |            sub-proof #967.
% 174.25/27.48  | | | | | | | 
% 174.25/27.48  | | | | | | End of split
% 174.25/27.48  | | | | | | 
% 174.25/27.48  | | | | | End of split
% 174.25/27.48  | | | | | 
% 174.25/27.48  | | | | Case 2:
% 174.25/27.48  | | | | | 
% 174.25/27.48  | | | | |   (55)  all_56_9 = e1
% 174.25/27.48  | | | | | 
% 174.25/27.48  | | | | | REF_CLOSE: (11), (12), (55) are inconsistent by sub-proof #683.
% 174.25/27.48  | | | | | 
% 174.25/27.48  | | | | End of split
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | End of split
% 174.25/27.48  | | | 
% 174.25/27.48  | | End of split
% 174.25/27.48  | | 
% 174.25/27.48  | Case 2:
% 174.25/27.48  | | 
% 174.25/27.48  | |   (56)  all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 174.25/27.48  | | 
% 174.25/27.48  | | BETA: splitting (56) gives:
% 174.25/27.48  | | 
% 174.25/27.48  | | Case 1:
% 174.25/27.48  | | | 
% 174.25/27.48  | | |   (57)  all_56_3 = e1
% 174.25/27.48  | | | 
% 174.25/27.48  | | | COMBINE_EQS: (24), (57) imply:
% 174.25/27.48  | | |   (58)  all_4_2 = e1
% 174.25/27.48  | | | 
% 174.25/27.48  | | | COMBINE_EQS: (28), (58) imply:
% 174.25/27.48  | | |   (59)  all_58_21 = e1
% 174.25/27.48  | | | 
% 174.25/27.48  | | | REDUCE: (3), (58) imply:
% 174.25/27.48  | | |   (60)   ~ (all_52_6 = e1)
% 174.25/27.48  | | | 
% 174.25/27.48  | | | REF_CLOSE: (2), (10), (13), (16), (19), (21), (23), (59), (60) are
% 174.25/27.48  | | |            inconsistent by sub-proof #895.
% 174.25/27.48  | | | 
% 174.25/27.48  | | Case 2:
% 174.25/27.48  | | | 
% 174.25/27.48  | | |   (61)  all_56_5 = e1 | all_56_10 = e1
% 174.25/27.48  | | | 
% 174.25/27.48  | | | REF_CLOSE: (4), (29), (32), (33), (61) are inconsistent by sub-proof #681.
% 174.25/27.48  | | | 
% 174.25/27.48  | | End of split
% 174.25/27.48  | | 
% 174.25/27.48  | End of split
% 174.25/27.48  | 
% 174.25/27.48  End of proof
% 174.25/27.48  
% 174.25/27.48  Sub-proof #681 shows that the following formulas are inconsistent:
% 174.25/27.48  ----------------------------------------------------------------
% 174.25/27.48    (1)   ~ (all_52_13 = e1)
% 174.25/27.48    (2)  all_56_5 = e1 | all_56_10 = e1
% 174.25/27.48    (3)  all_56_10 = all_52_13
% 174.25/27.48    (4)   ~ (e1 = e0)
% 174.25/27.48    (5)  all_56_5 = e0
% 174.25/27.48  
% 174.25/27.48  Begin of proof
% 174.25/27.48  | 
% 174.25/27.48  | BETA: splitting (2) gives:
% 174.25/27.48  | 
% 174.25/27.48  | Case 1:
% 174.25/27.48  | | 
% 174.25/27.48  | |   (6)  all_56_5 = e1
% 174.25/27.48  | | 
% 174.25/27.48  | | COMBINE_EQS: (5), (6) imply:
% 174.25/27.48  | |   (7)  e1 = e0
% 174.25/27.48  | | 
% 174.25/27.48  | | REDUCE: (4), (7) imply:
% 174.25/27.48  | |   (8)  $false
% 174.25/27.48  | | 
% 174.25/27.48  | | CLOSE: (8) is inconsistent.
% 174.25/27.48  | | 
% 174.25/27.48  | Case 2:
% 174.25/27.48  | | 
% 174.25/27.48  | |   (9)  all_56_10 = e1
% 174.25/27.48  | | 
% 174.25/27.48  | | REF_CLOSE: (1), (3), (9) are inconsistent by sub-proof #682.
% 174.25/27.48  | | 
% 174.25/27.48  | End of split
% 174.25/27.48  | 
% 174.25/27.48  End of proof
% 174.25/27.48  
% 174.25/27.48  Sub-proof #682 shows that the following formulas are inconsistent:
% 174.25/27.48  ----------------------------------------------------------------
% 174.25/27.48    (1)  all_56_10 = all_52_13
% 174.25/27.48    (2)  all_56_10 = e1
% 174.25/27.48    (3)   ~ (all_52_13 = e1)
% 174.25/27.48  
% 174.25/27.48  Begin of proof
% 174.25/27.48  | 
% 174.25/27.48  | COMBINE_EQS: (1), (2) imply:
% 174.25/27.48  |   (4)  all_52_13 = e1
% 174.25/27.48  | 
% 174.25/27.48  | SIMP: (4) implies:
% 174.25/27.48  |   (5)  all_52_13 = e1
% 174.25/27.48  | 
% 174.25/27.48  | REDUCE: (3), (5) imply:
% 174.25/27.48  |   (6)  $false
% 174.25/27.48  | 
% 174.25/27.48  | CLOSE: (6) is inconsistent.
% 174.25/27.48  | 
% 174.25/27.48  End of proof
% 174.25/27.48  
% 174.25/27.48  Sub-proof #683 shows that the following formulas are inconsistent:
% 174.25/27.48  ----------------------------------------------------------------
% 174.25/27.48    (1)  all_56_9 = all_52_12
% 174.25/27.48    (2)  all_56_9 = e1
% 174.25/27.48    (3)   ~ (all_52_12 = e1)
% 174.25/27.48  
% 174.25/27.48  Begin of proof
% 174.25/27.48  | 
% 174.25/27.48  | COMBINE_EQS: (1), (2) imply:
% 174.25/27.48  |   (4)  all_52_12 = e1
% 174.25/27.48  | 
% 174.25/27.48  | SIMP: (4) implies:
% 174.25/27.48  |   (5)  all_52_12 = e1
% 174.25/27.48  | 
% 174.25/27.48  | REDUCE: (3), (5) imply:
% 174.25/27.48  |   (6)  $false
% 174.25/27.48  | 
% 174.25/27.48  | CLOSE: (6) is inconsistent.
% 174.25/27.48  | 
% 174.25/27.48  End of proof
% 174.25/27.48  
% 174.25/27.48  Sub-proof #684 shows that the following formulas are inconsistent:
% 174.25/27.48  ----------------------------------------------------------------
% 174.25/27.48    (1)   ~ (all_52_12 = all_14_2)
% 174.25/27.48    (2)  all_56_1 = all_52_4
% 174.25/27.48    (3)  all_56_12 = all_52_3
% 174.25/27.48    (4)   ~ (all_10_2 = e0)
% 174.25/27.48    (5)   ~ (all_52_8 = all_52_12)
% 174.25/27.48    (6)   ~ (e3 = e1)
% 174.25/27.48    (7)  all_58_23 = all_52_7
% 174.25/27.48    (8)   ~ (all_52_2 = all_6_2)
% 174.25/27.48    (9)   ~ (all_52_4 = all_4_2)
% 174.25/27.48    (10)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.25/27.48    (11)  op(e2, e3) = e0
% 174.25/27.48    (12)   ~ (all_52_12 = all_6_2)
% 174.25/27.48    (13)   ~ (all_14_2 = e1)
% 174.25/27.48    (14)  all_56_15 = all_14_2
% 174.25/27.48    (15)  op(e3, all_52_4) = all_58_1
% 174.25/27.48    (16)  all_54_1 = all_52_4
% 174.25/27.48    (17)  op(all_10_2, e1) = all_10_1
% 174.25/27.48    (18)   ~ (all_52_13 = all_4_2)
% 174.25/27.48    (19)  all_56_8 = all_10_2
% 174.25/27.48    (20)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.25/27.48    (21)   ~ (all_52_4 = all_52_6)
% 174.25/27.48    (22)  all_58_31 = all_14_2
% 174.25/27.48    (23)   ~ (all_52_4 = e0)
% 174.25/27.48    (24)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 174.25/27.48    (25)  all_54_2 = all_52_8
% 174.25/27.48    (26)  all_56_11 = all_52_14
% 174.25/27.48    (27)   ~ (all_52_6 = all_52_7)
% 174.25/27.48    (28)  all_56_0 = all_6_2
% 174.25/27.48    (29)  all_58_30 = all_52_14
% 174.25/27.48    (30)  op(e3, e1) = all_52_8
% 174.25/27.48    (31)  all_58_19 = all_52_3
% 174.25/27.48    (32)  all_56_9 = all_52_12
% 174.25/27.48    (33)   ~ (all_52_2 = all_52_6)
% 174.25/27.48    (34)  all_56_2 = e0
% 174.25/27.48    (35)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 174.25/27.48    (36)   ~ (e2 = e1)
% 174.25/27.48    (37)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 174.25/27.48    (38)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.25/27.48    (39)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 174.25/27.48    (40)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.25/27.48    (41)   ~ (all_52_13 = all_52_14)
% 174.25/27.48    (42)  all_58_18 = all_52_2
% 174.25/27.48    (43)  all_58_16 = all_6_2
% 174.25/27.48    (44)   ~ (all_52_4 = all_6_2)
% 174.25/27.48    (45)   ~ (e3 = e0)
% 174.25/27.48    (46)  all_58_29 = all_52_13
% 174.25/27.48    (47)   ~ (all_6_2 = e0)
% 174.25/27.48    (48)   ~ (all_52_8 = all_10_2)
% 174.25/27.48    (49)  all_56_4 = all_52_8
% 174.25/27.48    (50)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 174.25/27.48    (51)  all_58_20 = all_52_4
% 174.25/27.48    (52)  all_54_10 = all_10_2
% 174.25/27.48    (53)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 174.25/27.48    (54)  all_58_17 = e0
% 174.25/27.48    (55)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.25/27.48    (56)   ~ (all_52_8 = all_6_2)
% 174.25/27.48    (57)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 174.25/27.48    (58)  all_56_6 = all_52_2
% 174.25/27.48    (59)   ~ (all_52_12 = all_52_14)
% 174.25/27.48    (60)  all_58_22 = all_52_6
% 174.25/27.48    (61)   ~ (all_52_14 = all_10_2)
% 174.25/27.48    (62)   ~ (all_52_2 = all_52_3)
% 174.25/27.48    (63)   ~ (all_52_4 = all_52_8)
% 174.25/27.48    (64)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.25/27.48            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.25/27.48    (65)   ~ (all_52_2 = all_52_14)
% 174.25/27.48    (66)  all_58_21 = all_4_2
% 174.25/27.48    (67)  all_56_10 = all_52_13
% 174.25/27.48    (68)   ~ (all_52_3 = e0)
% 174.25/27.48    (69)   ~ (e2 = e0)
% 174.25/27.48    (70)  all_58_28 = all_52_12
% 174.25/27.48    (71)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 174.25/27.48    (72)   ~ (e1 = e0)
% 174.25/27.48    (73)  all_56_7 = all_52_6
% 174.25/27.48    (74)   ~ (all_52_8 = e0)
% 174.25/27.48    (75)  op(all_10_1, all_10_2) = all_10_0
% 174.25/27.48    (76)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 174.25/27.48    (77)  op(e2, all_52_13) = all_58_7
% 174.25/27.48    (78)   ~ (all_10_0 = e0)
% 174.25/27.48    (79)  all_54_7 = all_52_13
% 174.25/27.48    (80)   ~ (all_52_12 = all_52_13)
% 174.25/27.48  
% 174.25/27.48  Begin of proof
% 174.25/27.48  | 
% 174.25/27.48  | BETA: splitting (57) gives:
% 174.25/27.48  | 
% 174.25/27.48  | Case 1:
% 174.25/27.48  | | 
% 174.25/27.48  | |   (81)  all_56_0 = e0
% 174.25/27.48  | | 
% 174.25/27.48  | | COMBINE_EQS: (28), (81) imply:
% 174.25/27.48  | |   (82)  all_6_2 = e0
% 174.25/27.48  | | 
% 174.25/27.48  | | REDUCE: (47), (82) imply:
% 174.25/27.48  | |   (83)  $false
% 174.25/27.48  | | 
% 174.25/27.48  | | CLOSE: (83) is inconsistent.
% 174.25/27.48  | | 
% 174.25/27.48  | Case 2:
% 174.25/27.48  | | 
% 174.25/27.48  | |   (84)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 174.25/27.48  | | 
% 174.25/27.48  | | BETA: splitting (84) gives:
% 174.25/27.48  | | 
% 174.25/27.48  | | Case 1:
% 174.25/27.48  | | | 
% 174.25/27.48  | | |   (85)  all_56_1 = e0
% 174.25/27.48  | | | 
% 174.25/27.48  | | | COMBINE_EQS: (2), (85) imply:
% 174.25/27.48  | | |   (86)  all_52_4 = e0
% 174.25/27.48  | | | 
% 174.25/27.48  | | | REDUCE: (23), (86) imply:
% 174.25/27.48  | | |   (87)  $false
% 174.25/27.48  | | | 
% 174.25/27.48  | | | CLOSE: (87) is inconsistent.
% 174.25/27.48  | | | 
% 174.25/27.48  | | Case 2:
% 174.25/27.48  | | | 
% 174.25/27.48  | | |   (88)  all_56_4 = e0 | all_56_9 = e0
% 174.25/27.48  | | | 
% 174.25/27.48  | | | BETA: splitting (88) gives:
% 174.25/27.48  | | | 
% 174.25/27.48  | | | Case 1:
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | |   (89)  all_56_4 = e0
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | COMBINE_EQS: (49), (89) imply:
% 174.25/27.48  | | | |   (90)  all_52_8 = e0
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | REDUCE: (74), (90) imply:
% 174.25/27.48  | | | |   (91)  $false
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | CLOSE: (91) is inconsistent.
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | Case 2:
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | |   (92)  all_56_9 = e0
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | COMBINE_EQS: (32), (92) imply:
% 174.25/27.48  | | | |   (93)  all_52_12 = e0
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | SIMP: (93) implies:
% 174.25/27.48  | | | |   (94)  all_52_12 = e0
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | COMBINE_EQS: (70), (94) imply:
% 174.25/27.48  | | | |   (95)  all_58_28 = e0
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | REDUCE: (80), (94) imply:
% 174.25/27.48  | | | |   (96)   ~ (all_52_13 = e0)
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | SIMP: (96) implies:
% 174.25/27.48  | | | |   (97)   ~ (all_52_13 = e0)
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | REDUCE: (59), (94) imply:
% 174.25/27.48  | | | |   (98)   ~ (all_52_14 = e0)
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | SIMP: (98) implies:
% 174.25/27.48  | | | |   (99)   ~ (all_52_14 = e0)
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | REDUCE: (1), (94) imply:
% 174.25/27.48  | | | |   (100)   ~ (all_14_2 = e0)
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | SIMP: (100) implies:
% 174.25/27.48  | | | |   (101)   ~ (all_14_2 = e0)
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | REDUCE: (12), (94) imply:
% 174.25/27.48  | | | |   (102)   ~ (all_6_2 = e0)
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (9), (10), (11), (13), (14),
% 174.25/27.48  | | | |            (15), (16), (17), (18), (19), (20), (21), (22), (24), (25),
% 174.25/27.48  | | | |            (26), (27), (28), (29), (30), (31), (33), (34), (35), (36),
% 174.25/27.48  | | | |            (37), (38), (39), (40), (41), (42), (43), (44), (45), (46),
% 174.25/27.48  | | | |            (47), (48), (49), (50), (51), (52), (53), (54), (55), (56),
% 174.25/27.48  | | | |            (58), (60), (61), (62), (63), (64), (65), (66), (67), (68),
% 174.25/27.48  | | | |            (69), (71), (72), (73), (74), (75), (76), (77), (78), (79),
% 174.25/27.48  | | | |            (92), (95), (97), (99), (101) are inconsistent by sub-proof
% 174.25/27.48  | | | |            #685.
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | End of split
% 174.25/27.48  | | | 
% 174.25/27.48  | | End of split
% 174.25/27.48  | | 
% 174.25/27.48  | End of split
% 174.25/27.48  | 
% 174.25/27.48  End of proof
% 174.25/27.48  
% 174.25/27.48  Sub-proof #685 shows that the following formulas are inconsistent:
% 174.25/27.48  ----------------------------------------------------------------
% 174.25/27.48    (1)  all_56_1 = all_52_4
% 174.25/27.48    (2)  all_56_12 = all_52_3
% 174.25/27.48    (3)   ~ (all_10_2 = e0)
% 174.25/27.48    (4)   ~ (e3 = e1)
% 174.25/27.48    (5)  all_58_23 = all_52_7
% 174.25/27.48    (6)   ~ (all_52_2 = all_6_2)
% 174.25/27.48    (7)   ~ (all_52_4 = all_4_2)
% 174.25/27.48    (8)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.25/27.48    (9)  op(e2, e3) = e0
% 174.25/27.48    (10)   ~ (all_14_2 = e1)
% 174.25/27.48    (11)  all_56_15 = all_14_2
% 174.25/27.48    (12)  op(e3, all_52_4) = all_58_1
% 174.25/27.48    (13)  all_54_1 = all_52_4
% 174.25/27.48    (14)  op(all_10_2, e1) = all_10_1
% 174.25/27.48    (15)   ~ (all_14_2 = e0)
% 174.25/27.48    (16)   ~ (all_52_13 = all_4_2)
% 174.25/27.48    (17)  all_56_8 = all_10_2
% 174.25/27.48    (18)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.25/27.48    (19)   ~ (all_52_4 = all_52_6)
% 174.25/27.48    (20)  all_58_31 = all_14_2
% 174.25/27.48    (21)  all_56_9 = e0
% 174.25/27.48    (22)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 174.25/27.48    (23)  all_54_2 = all_52_8
% 174.25/27.48    (24)  all_56_11 = all_52_14
% 174.25/27.48    (25)   ~ (all_52_6 = all_52_7)
% 174.25/27.48    (26)  all_56_0 = all_6_2
% 174.25/27.48    (27)  all_58_30 = all_52_14
% 174.25/27.48    (28)  op(e3, e1) = all_52_8
% 174.25/27.48    (29)  all_58_19 = all_52_3
% 174.25/27.48    (30)   ~ (all_52_2 = all_52_6)
% 174.25/27.48    (31)  all_56_2 = e0
% 174.25/27.48    (32)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 174.25/27.48    (33)   ~ (e2 = e1)
% 174.25/27.48    (34)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 174.25/27.48    (35)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.25/27.48    (36)  all_58_28 = e0
% 174.25/27.48    (37)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 174.25/27.48    (38)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.25/27.48    (39)   ~ (all_52_13 = all_52_14)
% 174.25/27.48    (40)  all_58_18 = all_52_2
% 174.25/27.48    (41)  all_58_16 = all_6_2
% 174.25/27.48    (42)   ~ (all_52_4 = all_6_2)
% 174.25/27.48    (43)   ~ (e3 = e0)
% 174.25/27.48    (44)  all_58_29 = all_52_13
% 174.25/27.48    (45)   ~ (all_52_13 = e0)
% 174.25/27.48    (46)   ~ (all_6_2 = e0)
% 174.25/27.48    (47)   ~ (all_52_8 = all_10_2)
% 174.25/27.48    (48)  all_56_4 = all_52_8
% 174.25/27.48    (49)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 174.25/27.48    (50)  all_58_20 = all_52_4
% 174.25/27.48    (51)  all_54_10 = all_10_2
% 174.25/27.48    (52)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 174.25/27.48    (53)  all_58_17 = e0
% 174.25/27.48    (54)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.25/27.48    (55)   ~ (all_52_8 = all_6_2)
% 174.25/27.48    (56)  all_56_6 = all_52_2
% 174.25/27.48    (57)  all_58_22 = all_52_6
% 174.25/27.48    (58)   ~ (all_52_14 = all_10_2)
% 174.25/27.48    (59)   ~ (all_52_2 = all_52_3)
% 174.25/27.48    (60)   ~ (all_52_4 = all_52_8)
% 174.25/27.48    (61)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.25/27.48            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.25/27.48    (62)   ~ (all_52_2 = all_52_14)
% 174.25/27.48    (63)  all_58_21 = all_4_2
% 174.25/27.48    (64)  all_56_10 = all_52_13
% 174.25/27.48    (65)   ~ (all_52_3 = e0)
% 174.25/27.48    (66)   ~ (e2 = e0)
% 174.25/27.48    (67)   ~ (all_52_14 = e0)
% 174.25/27.48    (68)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 174.25/27.48    (69)   ~ (e1 = e0)
% 174.25/27.48    (70)  all_56_7 = all_52_6
% 174.25/27.48    (71)   ~ (all_52_8 = e0)
% 174.25/27.48    (72)  op(all_10_1, all_10_2) = all_10_0
% 174.25/27.48    (73)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 174.25/27.48    (74)  op(e2, all_52_13) = all_58_7
% 174.25/27.48    (75)   ~ (all_10_0 = e0)
% 174.25/27.48    (76)  all_54_7 = all_52_13
% 174.25/27.48  
% 174.25/27.48  Begin of proof
% 174.25/27.48  | 
% 174.25/27.48  | BETA: splitting (32) gives:
% 174.25/27.48  | 
% 174.25/27.48  | Case 1:
% 174.25/27.48  | | 
% 174.25/27.48  | |   (77)  all_56_7 = e0
% 174.25/27.48  | | 
% 174.25/27.48  | | COMBINE_EQS: (70), (77) imply:
% 174.25/27.48  | |   (78)  all_52_6 = e0
% 174.25/27.48  | | 
% 174.25/27.48  | | SIMP: (78) implies:
% 174.25/27.48  | |   (79)  all_52_6 = e0
% 174.25/27.48  | | 
% 174.25/27.48  | | COMBINE_EQS: (57), (79) imply:
% 174.25/27.48  | |   (80)  all_58_22 = e0
% 174.25/27.48  | | 
% 174.25/27.48  | | REDUCE: (30), (79) imply:
% 174.25/27.48  | |   (81)   ~ (all_52_2 = e0)
% 174.25/27.48  | | 
% 174.25/27.48  | | REDUCE: (19), (79) imply:
% 174.25/27.48  | |   (82)   ~ (all_52_4 = e0)
% 174.25/27.48  | | 
% 174.25/27.48  | | REDUCE: (25), (79) imply:
% 174.25/27.48  | |   (83)   ~ (all_52_7 = e0)
% 174.25/27.48  | | 
% 174.25/27.48  | | SIMP: (83) implies:
% 174.25/27.48  | |   (84)   ~ (all_52_7 = e0)
% 174.25/27.48  | | 
% 174.25/27.48  | | BETA: splitting (34) gives:
% 174.25/27.48  | | 
% 174.25/27.48  | | Case 1:
% 174.25/27.48  | | | 
% 174.25/27.48  | | |   (85)  all_54_7 = e0
% 174.25/27.48  | | | 
% 174.25/27.48  | | | REF_CLOSE: (45), (76), (85) are inconsistent by sub-proof #714.
% 174.25/27.48  | | | 
% 174.25/27.48  | | Case 2:
% 174.25/27.48  | | | 
% 174.25/27.48  | | |   (86)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 174.25/27.48  | | | 
% 174.25/27.48  | | | BETA: splitting (73) gives:
% 174.25/27.48  | | | 
% 174.25/27.48  | | | Case 1:
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | |   (87)  all_56_12 = e1
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | COMBINE_EQS: (2), (87) imply:
% 174.25/27.48  | | | |   (88)  all_52_3 = e1
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | COMBINE_EQS: (29), (88) imply:
% 174.25/27.48  | | | |   (89)  all_58_19 = e1
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | REDUCE: (59), (88) imply:
% 174.25/27.48  | | | |   (90)   ~ (all_52_2 = e1)
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | BETA: splitting (8) gives:
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | Case 1:
% 174.25/27.48  | | | | | 
% 174.25/27.48  | | | | |   (91)  all_58_19 = e0
% 174.25/27.48  | | | | | 
% 174.25/27.48  | | | | | COMBINE_EQS: (89), (91) imply:
% 174.25/27.48  | | | | |   (92)  e1 = e0
% 174.25/27.48  | | | | | 
% 174.25/27.48  | | | | | REDUCE: (69), (92) imply:
% 174.25/27.48  | | | | |   (93)  $false
% 174.25/27.48  | | | | | 
% 174.25/27.48  | | | | | CLOSE: (93) is inconsistent.
% 174.25/27.48  | | | | | 
% 174.25/27.48  | | | | Case 2:
% 174.25/27.48  | | | | | 
% 174.25/27.48  | | | | |   (94)   ~ (all_58_19 = e0)
% 174.25/27.48  | | | | |   (95)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.25/27.48  | | | | | 
% 174.25/27.48  | | | | | BETA: splitting (95) gives:
% 174.25/27.48  | | | | | 
% 174.25/27.48  | | | | | Case 1:
% 174.25/27.48  | | | | | | 
% 174.25/27.48  | | | | | |   (96)  all_58_18 = e1
% 174.25/27.48  | | | | | | 
% 174.25/27.48  | | | | | | REF_CLOSE: (40), (90), (96) are inconsistent by sub-proof #924.
% 174.25/27.48  | | | | | | 
% 174.25/27.48  | | | | | Case 2:
% 174.25/27.48  | | | | | | 
% 174.25/27.48  | | | | | |   (97)  all_58_16 = e3 | all_58_17 = e2
% 174.25/27.48  | | | | | | 
% 174.25/27.48  | | | | | | REF_CLOSE: (1), (5), (7), (9), (12), (13), (14), (15), (16), (18),
% 174.25/27.48  | | | | | |            (20), (22), (23), (27), (28), (36), (37), (39), (41),
% 174.25/27.48  | | | | | |            (42), (44), (46), (47), (48), (49), (50), (51), (52),
% 174.25/27.48  | | | | | |            (53), (54), (55), (58), (60), (61), (63), (66), (68),
% 174.25/27.48  | | | | | |            (69), (71), (72), (74), (75), (76), (80), (82), (84),
% 174.25/27.48  | | | | | |            (86), (97) are inconsistent by sub-proof #687.
% 174.25/27.48  | | | | | | 
% 174.25/27.48  | | | | | End of split
% 174.25/27.48  | | | | | 
% 174.25/27.48  | | | | End of split
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | Case 2:
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | |   (98)   ~ (all_56_12 = e1)
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | REF_CLOSE: (2), (4), (6), (8), (10), (11), (15), (18), (20), (21), (24),
% 174.25/27.48  | | | |            (26), (27), (29), (31), (33), (35), (36), (38), (40), (41),
% 174.25/27.48  | | | |            (43), (44), (53), (56), (62), (64), (65), (66), (69), (81),
% 174.25/27.48  | | | |            (98) are inconsistent by sub-proof #686.
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | End of split
% 174.25/27.48  | | | 
% 174.25/27.48  | | End of split
% 174.25/27.48  | | 
% 174.25/27.48  | Case 2:
% 174.25/27.48  | | 
% 174.25/27.48  | |   (99)  all_56_8 = e0 | all_56_11 = e0
% 174.25/27.48  | | 
% 174.25/27.48  | | REF_CLOSE: (3), (17), (24), (67), (99) are inconsistent by sub-proof #912.
% 174.25/27.48  | | 
% 174.25/27.48  | End of split
% 174.25/27.48  | 
% 174.25/27.48  End of proof
% 174.25/27.48  
% 174.25/27.48  Sub-proof #686 shows that the following formulas are inconsistent:
% 174.25/27.48  ----------------------------------------------------------------
% 174.25/27.48    (1)  all_56_12 = all_52_3
% 174.25/27.48    (2)   ~ (e3 = e1)
% 174.25/27.48    (3)   ~ (all_52_2 = all_6_2)
% 174.25/27.48    (4)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.25/27.48    (5)   ~ (all_56_12 = e1)
% 174.25/27.48    (6)   ~ (all_14_2 = e1)
% 174.25/27.48    (7)  all_56_15 = all_14_2
% 174.25/27.48    (8)   ~ (all_14_2 = e0)
% 174.25/27.48    (9)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.25/27.48    (10)  all_58_31 = all_14_2
% 174.25/27.48    (11)  all_56_9 = e0
% 174.25/27.48    (12)  all_56_11 = all_52_14
% 174.25/27.48    (13)  all_56_0 = all_6_2
% 174.25/27.48    (14)  all_58_30 = all_52_14
% 174.25/27.48    (15)  all_58_19 = all_52_3
% 174.25/27.48    (16)  all_56_2 = e0
% 174.25/27.48    (17)   ~ (e2 = e1)
% 174.25/27.48    (18)   ~ (all_52_2 = e0)
% 174.25/27.48    (19)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.25/27.48    (20)  all_58_28 = e0
% 174.25/27.48    (21)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.25/27.48    (22)  all_58_18 = all_52_2
% 174.25/27.48    (23)  all_58_16 = all_6_2
% 174.25/27.48    (24)   ~ (e3 = e0)
% 174.25/27.48    (25)  all_58_29 = all_52_13
% 174.25/27.48    (26)  all_58_17 = e0
% 174.25/27.48    (27)  all_56_6 = all_52_2
% 174.25/27.48    (28)   ~ (all_52_2 = all_52_14)
% 174.25/27.48    (29)  all_56_10 = all_52_13
% 174.25/27.48    (30)   ~ (all_52_3 = e0)
% 174.25/27.48    (31)   ~ (e2 = e0)
% 174.25/27.48    (32)   ~ (e1 = e0)
% 174.25/27.48  
% 174.25/27.48  Begin of proof
% 174.25/27.48  | 
% 174.25/27.48  | REDUCE: (1), (5) imply:
% 174.25/27.48  |   (33)   ~ (all_52_3 = e1)
% 174.25/27.48  | 
% 174.25/27.48  | BETA: splitting (19) gives:
% 174.25/27.48  | 
% 174.25/27.48  | Case 1:
% 174.25/27.48  | | 
% 174.25/27.48  | |   (34)  all_56_0 = e1
% 174.25/27.48  | | 
% 174.25/27.48  | | COMBINE_EQS: (13), (34) imply:
% 174.25/27.48  | |   (35)  all_6_2 = e1
% 174.25/27.48  | | 
% 174.25/27.48  | | REF_CLOSE: (2), (3), (4), (15), (22), (23), (26), (30), (31), (35) are
% 174.25/27.48  | |            inconsistent by sub-proof #936.
% 174.25/27.48  | | 
% 174.25/27.48  | Case 2:
% 174.25/27.48  | | 
% 174.25/27.48  | |   (36)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.25/27.48  | | 
% 174.25/27.48  | | BETA: splitting (36) gives:
% 174.25/27.48  | | 
% 174.25/27.48  | | Case 1:
% 174.25/27.48  | | | 
% 174.25/27.48  | | |   (37)  all_56_2 = e1
% 174.25/27.48  | | | 
% 174.25/27.48  | | | REF_CLOSE: (16), (32), (37) are inconsistent by sub-proof #935.
% 174.25/27.48  | | | 
% 174.25/27.48  | | Case 2:
% 174.25/27.48  | | | 
% 174.25/27.48  | | |   (38)  all_56_6 = e1 | all_56_12 = e1
% 174.25/27.48  | | | 
% 174.25/27.48  | | | BETA: splitting (38) gives:
% 174.25/27.48  | | | 
% 174.25/27.48  | | | Case 1:
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | |   (39)  all_56_6 = e1
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | COMBINE_EQS: (27), (39) imply:
% 174.25/27.48  | | | |   (40)  all_52_2 = e1
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | SIMP: (40) implies:
% 174.25/27.48  | | | |   (41)  all_52_2 = e1
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | REDUCE: (28), (41) imply:
% 174.25/27.48  | | | |   (42)   ~ (all_52_14 = e1)
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | SIMP: (42) implies:
% 174.25/27.48  | | | |   (43)   ~ (all_52_14 = e1)
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | REF_CLOSE: (6), (7), (8), (9), (10), (11), (12), (14), (17), (20), (21),
% 174.25/27.48  | | | |            (24), (25), (29), (32), (43) are inconsistent by sub-proof
% 174.25/27.48  | | | |            #851.
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | Case 2:
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | |   (44)  all_56_12 = e1
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | | REF_CLOSE: (1), (33), (44) are inconsistent by sub-proof #934.
% 174.25/27.48  | | | | 
% 174.25/27.48  | | | End of split
% 174.25/27.48  | | | 
% 174.25/27.48  | | End of split
% 174.25/27.48  | | 
% 174.25/27.48  | End of split
% 174.25/27.48  | 
% 174.25/27.48  End of proof
% 174.25/27.48  
% 174.25/27.48  Sub-proof #687 shows that the following formulas are inconsistent:
% 174.25/27.48  ----------------------------------------------------------------
% 174.25/27.48    (1)  all_56_1 = all_52_4
% 174.25/27.48    (2)  all_58_23 = all_52_7
% 174.25/27.48    (3)   ~ (all_52_4 = all_4_2)
% 174.25/27.48    (4)  op(e2, e3) = e0
% 174.25/27.48    (5)  op(e3, all_52_4) = all_58_1
% 174.25/27.48    (6)  all_54_1 = all_52_4
% 174.25/27.48    (7)  op(all_10_2, e1) = all_10_1
% 174.25/27.48    (8)   ~ (all_14_2 = e0)
% 174.25/27.48    (9)   ~ (all_52_13 = all_4_2)
% 174.25/27.48    (10)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.25/27.48    (11)  all_58_31 = all_14_2
% 174.25/27.48    (12)   ~ (all_52_4 = e0)
% 174.25/27.48    (13)  all_56_4 = e2 | all_56_5 = e2 | all_56_8 = e2 | all_56_14 = e2
% 174.25/27.48    (14)  all_54_2 = all_52_8
% 174.25/27.48    (15)  all_58_30 = all_52_14
% 174.25/27.48    (16)  op(e3, e1) = all_52_8
% 174.25/27.48    (17)  all_58_22 = e0
% 174.25/27.48    (18)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 174.25/27.48    (19)  all_58_28 = e0
% 174.25/27.48    (20)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 174.25/27.48    (21)   ~ (all_52_13 = all_52_14)
% 174.25/27.48    (22)  all_58_16 = all_6_2
% 174.25/27.48    (23)   ~ (all_52_4 = all_6_2)
% 174.25/27.48    (24)  all_58_29 = all_52_13
% 174.25/27.48    (25)   ~ (all_6_2 = e0)
% 174.25/27.48    (26)   ~ (all_52_8 = all_10_2)
% 174.25/27.48    (27)  all_56_4 = all_52_8
% 174.25/27.48    (28)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 174.25/27.48    (29)  all_58_20 = all_52_4
% 174.25/27.48    (30)  all_54_10 = all_10_2
% 174.25/27.48    (31)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 174.25/27.48    (32)  all_58_17 = e0
% 174.25/27.48    (33)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.25/27.48    (34)   ~ (all_52_8 = all_6_2)
% 174.25/27.48    (35)   ~ (all_52_7 = e0)
% 174.25/27.48    (36)   ~ (all_52_14 = all_10_2)
% 174.25/27.48    (37)   ~ (all_52_4 = all_52_8)
% 174.25/27.48    (38)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.25/27.48            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.25/27.48    (39)  all_58_16 = e3 | all_58_17 = e2
% 174.25/27.48    (40)  all_58_21 = all_4_2
% 174.25/27.48    (41)   ~ (e2 = e0)
% 174.25/27.48    (42)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 174.25/27.49    (43)   ~ (e1 = e0)
% 174.25/27.49    (44)   ~ (all_52_8 = e0)
% 174.25/27.49    (45)  op(all_10_1, all_10_2) = all_10_0
% 174.25/27.49    (46)  op(e2, all_52_13) = all_58_7
% 174.25/27.49    (47)   ~ (all_10_0 = e0)
% 174.25/27.49    (48)  all_54_7 = all_52_13
% 174.25/27.49  
% 174.25/27.49  Begin of proof
% 174.25/27.49  | 
% 174.25/27.49  | BETA: splitting (39) gives:
% 174.25/27.49  | 
% 174.25/27.49  | Case 1:
% 174.25/27.49  | | 
% 174.25/27.49  | |   (49)  all_58_17 = e2
% 174.25/27.49  | | 
% 174.25/27.49  | | REF_CLOSE: (32), (41), (49) are inconsistent by sub-proof #981.
% 174.25/27.49  | | 
% 174.25/27.49  | Case 2:
% 174.25/27.49  | | 
% 174.25/27.49  | |   (50)  all_58_16 = e3
% 174.25/27.49  | | 
% 174.25/27.49  | | COMBINE_EQS: (22), (50) imply:
% 174.25/27.49  | |   (51)  all_6_2 = e3
% 174.25/27.49  | | 
% 174.25/27.49  | | REDUCE: (23), (51) imply:
% 174.25/27.49  | |   (52)   ~ (all_52_4 = e3)
% 174.25/27.49  | | 
% 174.25/27.49  | | REDUCE: (34), (51) imply:
% 174.25/27.49  | |   (53)   ~ (all_52_8 = e3)
% 174.25/27.49  | | 
% 174.25/27.49  | | REDUCE: (25), (51) imply:
% 174.25/27.49  | |   (54)   ~ (e3 = e0)
% 174.25/27.49  | | 
% 174.25/27.49  | | BETA: splitting (33) gives:
% 174.25/27.49  | | 
% 174.25/27.49  | | Case 1:
% 174.25/27.49  | | | 
% 174.25/27.49  | | |   (55)  all_58_23 = e0
% 174.25/27.49  | | | 
% 174.25/27.49  | | | COMBINE_EQS: (2), (55) imply:
% 174.25/27.49  | | |   (56)  all_52_7 = e0
% 174.25/27.49  | | | 
% 174.25/27.49  | | | REDUCE: (35), (56) imply:
% 174.25/27.49  | | |   (57)  $false
% 174.25/27.49  | | | 
% 174.25/27.49  | | | CLOSE: (57) is inconsistent.
% 174.25/27.49  | | | 
% 174.25/27.49  | | Case 2:
% 174.25/27.49  | | | 
% 174.25/27.49  | | |   (58)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.25/27.49  | | | 
% 174.25/27.49  | | | BETA: splitting (58) gives:
% 174.25/27.49  | | | 
% 174.25/27.49  | | | Case 1:
% 174.25/27.49  | | | | 
% 174.25/27.49  | | | |   (59)  all_58_22 = e1
% 174.25/27.49  | | | | 
% 174.25/27.49  | | | | REF_CLOSE: (17), (43), (59) are inconsistent by sub-proof #923.
% 174.25/27.49  | | | | 
% 174.25/27.49  | | | Case 2:
% 174.25/27.49  | | | | 
% 174.25/27.49  | | | |   (60)  all_58_20 = e3 | all_58_21 = e2
% 174.25/27.49  | | | | 
% 174.25/27.49  | | | | BETA: splitting (60) gives:
% 174.25/27.49  | | | | 
% 174.25/27.49  | | | | Case 1:
% 174.25/27.49  | | | | | 
% 174.25/27.49  | | | | |   (61)  all_58_21 = e2
% 174.25/27.49  | | | | | 
% 174.25/27.49  | | | | | COMBINE_EQS: (40), (61) imply:
% 174.25/27.49  | | | | |   (62)  all_4_2 = e2
% 174.25/27.49  | | | | | 
% 174.25/27.49  | | | | | REDUCE: (9), (62) imply:
% 174.25/27.49  | | | | |   (63)   ~ (all_52_13 = e2)
% 174.25/27.49  | | | | | 
% 174.25/27.49  | | | | | BETA: splitting (20) gives:
% 174.25/27.49  | | | | | 
% 174.25/27.49  | | | | | Case 1:
% 174.25/27.49  | | | | | | 
% 174.25/27.49  | | | | | |   (64)  all_54_1 = e0
% 174.25/27.49  | | | | | | 
% 174.25/27.49  | | | | | | REF_CLOSE: (6), (12), (64) are inconsistent by sub-proof #866.
% 174.25/27.49  | | | | | | 
% 174.25/27.49  | | | | | Case 2:
% 174.25/27.49  | | | | | | 
% 174.25/27.49  | | | | | |   (65)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 174.25/27.49  | | | | | | 
% 174.25/27.49  | | | | | | BETA: splitting (42) gives:
% 174.25/27.49  | | | | | | 
% 174.25/27.49  | | | | | | Case 1:
% 174.25/27.49  | | | | | | | 
% 174.25/27.49  | | | | | | |   (66)  all_56_1 = e1
% 174.25/27.49  | | | | | | | 
% 174.25/27.49  | | | | | | | COMBINE_EQS: (1), (66) imply:
% 174.25/27.49  | | | | | | |   (67)  all_52_4 = e1
% 174.25/27.49  | | | | | | | 
% 174.25/27.49  | | | | | | | REDUCE: (37), (67) imply:
% 174.25/27.49  | | | | | | |   (68)   ~ (all_52_8 = e1)
% 174.25/27.49  | | | | | | | 
% 174.25/27.49  | | | | | | | SIMP: (68) implies:
% 174.25/27.49  | | | | | | |   (69)   ~ (all_52_8 = e1)
% 174.25/27.49  | | | | | | | 
% 174.25/27.49  | | | | | | | REDUCE: (5), (67) imply:
% 174.25/27.49  | | | | | | |   (70)  op(e3, e1) = all_58_1
% 174.25/27.49  | | | | | | | 
% 174.25/27.49  | | | | | | | BETA: splitting (31) gives:
% 174.25/27.49  | | | | | | | 
% 174.25/27.49  | | | | | | | Case 1:
% 174.25/27.49  | | | | | | | | 
% 174.25/27.49  | | | | | | | |   (71)  all_54_2 = e0
% 174.25/27.49  | | | | | | | | 
% 174.25/27.49  | | | | | | | | REF_CLOSE: (14), (44), (71) are inconsistent by sub-proof #763.
% 174.25/27.49  | | | | | | | | 
% 174.25/27.49  | | | | | | | Case 2:
% 174.25/27.49  | | | | | | | | 
% 174.25/27.49  | | | | | | | |   (72)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1
% 174.25/27.49  | | | | | | | | 
% 174.25/27.49  | | | | | | | | BETA: splitting (10) gives:
% 174.25/27.49  | | | | | | | | 
% 174.25/27.49  | | | | | | | | Case 1:
% 174.25/27.49  | | | | | | | | | 
% 174.25/27.49  | | | | | | | | |   (73)  all_58_31 = e0
% 174.25/27.49  | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | COMBINE_EQS: (11), (73) imply:
% 174.25/27.49  | | | | | | | | |   (74)  all_14_2 = e0
% 174.25/27.49  | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | REDUCE: (8), (74) imply:
% 174.25/27.49  | | | | | | | | |   (75)  $false
% 174.25/27.49  | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | CLOSE: (75) is inconsistent.
% 174.25/27.49  | | | | | | | | | 
% 174.25/27.49  | | | | | | | | Case 2:
% 174.25/27.49  | | | | | | | | | 
% 174.25/27.49  | | | | | | | | |   (76)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.25/27.49  | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | BETA: splitting (13) gives:
% 174.25/27.49  | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | Case 1:
% 174.25/27.49  | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | |   (77)  all_56_4 = e2
% 174.25/27.49  | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | COMBINE_EQS: (27), (77) imply:
% 174.25/27.49  | | | | | | | | | |   (78)  all_52_8 = e2
% 174.25/27.49  | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | REDUCE: (26), (78) imply:
% 174.25/27.49  | | | | | | | | | |   (79)   ~ (all_10_2 = e2)
% 174.25/27.49  | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | SIMP: (79) implies:
% 174.25/27.49  | | | | | | | | | |   (80)   ~ (all_10_2 = e2)
% 174.25/27.49  | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | REDUCE: (16), (78) imply:
% 174.25/27.49  | | | | | | | | | |   (81)  op(e3, e1) = e2
% 174.25/27.49  | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | BETA: splitting (76) gives:
% 174.25/27.49  | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | Case 1:
% 174.25/27.49  | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | |   (82)  all_58_30 = e1
% 174.25/27.49  | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | COMBINE_EQS: (15), (82) imply:
% 174.25/27.49  | | | | | | | | | | |   (83)  all_52_14 = e1
% 174.25/27.49  | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | REDUCE: (21), (83) imply:
% 174.25/27.49  | | | | | | | | | | |   (84)   ~ (all_52_13 = e1)
% 174.25/27.49  | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | REDUCE: (36), (83) imply:
% 174.25/27.49  | | | | | | | | | | |   (85)   ~ (all_10_2 = e1)
% 174.25/27.49  | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | SIMP: (85) implies:
% 174.25/27.49  | | | | | | | | | | |   (86)   ~ (all_10_2 = e1)
% 174.25/27.49  | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | BETA: splitting (28) gives:
% 174.25/27.49  | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | Case 1:
% 174.25/27.49  | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | |   (87)  all_54_10 = e1
% 174.25/27.49  | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | COMBINE_EQS: (30), (87) imply:
% 174.25/27.49  | | | | | | | | | | | |   (88)  all_10_2 = e1
% 174.25/27.49  | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | REDUCE: (86), (88) imply:
% 174.25/27.49  | | | | | | | | | | | |   (89)  $false
% 174.25/27.49  | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | CLOSE: (89) is inconsistent.
% 174.25/27.49  | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | Case 2:
% 174.25/27.49  | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | |   (90)  all_54_10 = e3 | all_54_10 = e2
% 174.25/27.49  | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | BETA: splitting (90) gives:
% 174.25/27.49  | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | Case 1:
% 174.25/27.49  | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | |   (91)  all_54_10 = e2
% 174.25/27.49  | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | COMBINE_EQS: (30), (91) imply:
% 174.25/27.49  | | | | | | | | | | | | |   (92)  all_10_2 = e2
% 174.25/27.49  | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | REDUCE: (80), (92) imply:
% 174.25/27.49  | | | | | | | | | | | | |   (93)  $false
% 174.25/27.49  | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | CLOSE: (93) is inconsistent.
% 174.25/27.49  | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | Case 2:
% 174.25/27.49  | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | |   (94)  all_54_10 = e3
% 174.25/27.49  | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | COMBINE_EQS: (30), (94) imply:
% 174.25/27.49  | | | | | | | | | | | | |   (95)  all_10_2 = e3
% 174.25/27.49  | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | REDUCE: (45), (95) imply:
% 174.25/27.49  | | | | | | | | | | | | |   (96)  op(all_10_1, e3) = all_10_0
% 174.25/27.49  | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | REDUCE: (7), (95) imply:
% 174.25/27.49  | | | | | | | | | | | | |   (97)  op(e3, e1) = all_10_1
% 174.25/27.49  | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | BETA: splitting (18) gives:
% 174.25/27.49  | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | Case 1:
% 174.25/27.49  | | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | |   (98)  all_54_7 = e1
% 174.25/27.49  | | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | | REF_CLOSE: (48), (84), (98) are inconsistent by sub-proof
% 174.25/27.49  | | | | | | | | | | | | | |            #712.
% 174.25/27.49  | | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | Case 2:
% 174.25/27.49  | | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | |   (99)  all_54_7 = e3 | all_54_7 = e2
% 174.25/27.49  | | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | | BETA: splitting (99) gives:
% 174.25/27.49  | | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | | Case 1:
% 174.25/27.49  | | | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | | |   (100)  all_54_7 = e2
% 174.25/27.49  | | | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | | | REF_CLOSE: (48), (63), (100) are inconsistent by sub-proof
% 174.25/27.49  | | | | | | | | | | | | | | |            #711.
% 174.25/27.49  | | | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | | Case 2:
% 174.25/27.49  | | | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | | |   (101)  all_54_7 = e3
% 174.25/27.49  | | | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | | | COMBINE_EQS: (48), (101) imply:
% 174.25/27.49  | | | | | | | | | | | | | | |   (102)  all_52_13 = e3
% 174.25/27.49  | | | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | | | SIMP: (102) implies:
% 174.25/27.49  | | | | | | | | | | | | | | |   (103)  all_52_13 = e3
% 174.25/27.49  | | | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | | | REDUCE: (46), (103) imply:
% 174.25/27.49  | | | | | | | | | | | | | | |   (104)  op(e2, e3) = all_58_7
% 174.25/27.49  | | | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | | | GROUND_INST: instantiating (38) with e0, all_58_7, e3, e2,
% 174.25/27.49  | | | | | | | | | | | | | | |              simplifying with (4), (104) gives:
% 174.25/27.49  | | | | | | | | | | | | | | |   (105)  all_58_7 = e0
% 174.25/27.49  | | | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | | | GROUND_INST: instantiating (38) with all_10_1, all_58_1, e1,
% 174.25/27.49  | | | | | | | | | | | | | | |              e3, simplifying with (70), (97) gives:
% 174.25/27.49  | | | | | | | | | | | | | | |   (106)  all_58_1 = all_10_1
% 174.25/27.49  | | | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | | | GROUND_INST: instantiating (38) with e2, all_58_1, e1, e3,
% 174.25/27.49  | | | | | | | | | | | | | | |              simplifying with (70), (81) gives:
% 174.25/27.49  | | | | | | | | | | | | | | |   (107)  all_58_1 = e2
% 174.25/27.49  | | | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | | | COMBINE_EQS: (106), (107) imply:
% 174.25/27.49  | | | | | | | | | | | | | | |   (108)  all_10_1 = e2
% 174.25/27.49  | | | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | | | SIMP: (108) implies:
% 174.25/27.49  | | | | | | | | | | | | | | |   (109)  all_10_1 = e2
% 174.25/27.49  | | | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | | | REDUCE: (96), (109) imply:
% 174.25/27.49  | | | | | | | | | | | | | | |   (110)  op(e2, e3) = all_10_0
% 174.25/27.49  | | | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | | | GROUND_INST: instantiating (38) with e0, all_10_0, e3, e2,
% 174.25/27.49  | | | | | | | | | | | | | | |              simplifying with (4), (110) gives:
% 174.25/27.49  | | | | | | | | | | | | | | |   (111)  all_10_0 = e0
% 174.25/27.49  | | | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | | | REDUCE: (47), (111) imply:
% 174.25/27.49  | | | | | | | | | | | | | | |   (112)  $false
% 174.25/27.49  | | | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | | | CLOSE: (112) is inconsistent.
% 174.25/27.49  | | | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | | End of split
% 174.25/27.49  | | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | | End of split
% 174.25/27.49  | | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | | End of split
% 174.25/27.49  | | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | End of split
% 174.25/27.49  | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | Case 2:
% 174.25/27.49  | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | |   (113)  all_58_28 = e3 | all_58_29 = e2
% 174.25/27.49  | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | | REF_CLOSE: (19), (24), (54), (63), (113) are inconsistent by
% 174.25/27.49  | | | | | | | | | | |            sub-proof #844.
% 174.25/27.49  | | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | End of split
% 174.25/27.49  | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | Case 2:
% 174.25/27.49  | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | |   (114)   ~ (all_56_4 = e2)
% 174.25/27.49  | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | REDUCE: (27), (114) imply:
% 174.25/27.49  | | | | | | | | | |   (115)   ~ (all_52_8 = e2)
% 174.25/27.49  | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | | REF_CLOSE: (14), (53), (69), (72), (115) are inconsistent by
% 174.25/27.49  | | | | | | | | | |            sub-proof #690.
% 174.25/27.49  | | | | | | | | | | 
% 174.25/27.49  | | | | | | | | | End of split
% 174.25/27.49  | | | | | | | | | 
% 174.25/27.49  | | | | | | | | End of split
% 174.25/27.49  | | | | | | | | 
% 174.25/27.49  | | | | | | | End of split
% 174.25/27.49  | | | | | | | 
% 174.25/27.49  | | | | | | Case 2:
% 174.25/27.49  | | | | | | | 
% 174.25/27.49  | | | | | | |   (116)   ~ (all_56_1 = e1)
% 174.25/27.49  | | | | | | | 
% 174.25/27.49  | | | | | | | REDUCE: (1), (116) imply:
% 174.25/27.49  | | | | | | |   (117)   ~ (all_52_4 = e1)
% 174.25/27.49  | | | | | | | 
% 174.25/27.49  | | | | | | | REF_CLOSE: (3), (6), (29), (40), (52), (60), (65), (117) are
% 174.25/27.49  | | | | | | |            inconsistent by sub-proof #688.
% 174.25/27.49  | | | | | | | 
% 174.25/27.49  | | | | | | End of split
% 174.25/27.49  | | | | | | 
% 174.25/27.49  | | | | | End of split
% 174.25/27.49  | | | | | 
% 174.25/27.49  | | | | Case 2:
% 174.25/27.49  | | | | | 
% 174.25/27.49  | | | | |   (118)  all_58_20 = e3
% 174.25/27.49  | | | | | 
% 174.25/27.49  | | | | | COMBINE_EQS: (29), (118) imply:
% 174.25/27.49  | | | | |   (119)  all_52_4 = e3
% 174.25/27.49  | | | | | 
% 174.25/27.49  | | | | | REDUCE: (52), (119) imply:
% 174.25/27.49  | | | | |   (120)  $false
% 174.25/27.49  | | | | | 
% 174.25/27.49  | | | | | CLOSE: (120) is inconsistent.
% 174.25/27.49  | | | | | 
% 174.25/27.49  | | | | End of split
% 174.25/27.49  | | | | 
% 174.25/27.49  | | | End of split
% 174.25/27.49  | | | 
% 174.25/27.49  | | End of split
% 174.25/27.49  | | 
% 174.25/27.49  | End of split
% 174.25/27.49  | 
% 174.25/27.49  End of proof
% 174.25/27.49  
% 174.25/27.49  Sub-proof #688 shows that the following formulas are inconsistent:
% 174.25/27.49  ----------------------------------------------------------------
% 174.25/27.49    (1)   ~ (all_52_4 = all_4_2)
% 174.25/27.49    (2)  all_54_1 = all_52_4
% 174.25/27.49    (3)   ~ (all_52_4 = e3)
% 174.25/27.49    (4)   ~ (all_52_4 = e1)
% 174.25/27.49    (5)  all_58_20 = all_52_4
% 174.25/27.49    (6)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 174.25/27.49    (7)  all_58_20 = e3 | all_58_21 = e2
% 174.25/27.49    (8)  all_58_21 = all_4_2
% 174.25/27.49  
% 174.25/27.49  Begin of proof
% 174.25/27.49  | 
% 174.25/27.49  | BETA: splitting (7) gives:
% 174.25/27.49  | 
% 174.25/27.49  | Case 1:
% 174.25/27.49  | | 
% 174.25/27.49  | |   (9)  all_58_21 = e2
% 174.25/27.49  | | 
% 174.25/27.49  | | COMBINE_EQS: (8), (9) imply:
% 174.25/27.49  | |   (10)  all_4_2 = e2
% 174.25/27.49  | | 
% 174.25/27.49  | | REDUCE: (1), (10) imply:
% 174.25/27.49  | |   (11)   ~ (all_52_4 = e2)
% 174.25/27.49  | | 
% 174.25/27.49  | | REF_CLOSE: (2), (3), (4), (6), (11) are inconsistent by sub-proof #689.
% 174.25/27.49  | | 
% 174.25/27.49  | Case 2:
% 174.25/27.49  | | 
% 174.25/27.49  | |   (12)  all_58_20 = e3
% 174.25/27.49  | | 
% 174.25/27.49  | | COMBINE_EQS: (5), (12) imply:
% 174.25/27.49  | |   (13)  all_52_4 = e3
% 174.25/27.49  | | 
% 174.25/27.49  | | REDUCE: (3), (13) imply:
% 174.25/27.49  | |   (14)  $false
% 174.25/27.49  | | 
% 174.25/27.49  | | CLOSE: (14) is inconsistent.
% 174.25/27.49  | | 
% 174.25/27.49  | End of split
% 174.25/27.49  | 
% 174.25/27.49  End of proof
% 174.25/27.49  
% 174.25/27.49  Sub-proof #689 shows that the following formulas are inconsistent:
% 174.25/27.49  ----------------------------------------------------------------
% 174.25/27.49    (1)  all_54_1 = all_52_4
% 174.25/27.49    (2)   ~ (all_52_4 = e3)
% 174.25/27.49    (3)   ~ (all_52_4 = e1)
% 174.25/27.49    (4)   ~ (all_52_4 = e2)
% 174.25/27.49    (5)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 174.25/27.49  
% 174.25/27.49  Begin of proof
% 174.25/27.49  | 
% 174.25/27.49  | BETA: splitting (5) gives:
% 174.25/27.49  | 
% 174.25/27.49  | Case 1:
% 174.25/27.49  | | 
% 174.25/27.49  | |   (6)  all_54_1 = e1
% 174.25/27.49  | | 
% 174.25/27.49  | | REF_CLOSE: (1), (3), (6) are inconsistent by sub-proof #769.
% 174.25/27.49  | | 
% 174.25/27.49  | Case 2:
% 174.25/27.49  | | 
% 174.25/27.49  | |   (7)  all_54_1 = e3 | all_54_1 = e2
% 174.25/27.49  | | 
% 174.25/27.49  | | REF_CLOSE: (1), (2), (4), (7) are inconsistent by sub-proof #863.
% 174.25/27.49  | | 
% 174.25/27.49  | End of split
% 174.25/27.49  | 
% 174.25/27.49  End of proof
% 174.25/27.49  
% 174.25/27.49  Sub-proof #690 shows that the following formulas are inconsistent:
% 174.25/27.49  ----------------------------------------------------------------
% 174.25/27.49    (1)   ~ (all_52_8 = e1)
% 174.25/27.49    (2)  all_54_2 = all_52_8
% 174.25/27.49    (3)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1
% 174.25/27.49    (4)   ~ (all_52_8 = e2)
% 174.25/27.49    (5)   ~ (all_52_8 = e3)
% 174.25/27.49  
% 174.25/27.49  Begin of proof
% 174.25/27.49  | 
% 174.25/27.49  | BETA: splitting (3) gives:
% 174.25/27.49  | 
% 174.25/27.49  | Case 1:
% 174.25/27.49  | | 
% 174.25/27.49  | |   (6)  all_54_2 = e1
% 174.25/27.49  | | 
% 174.25/27.49  | | REF_CLOSE: (1), (2), (6) are inconsistent by sub-proof #762.
% 174.25/27.49  | | 
% 174.25/27.49  | Case 2:
% 174.25/27.49  | | 
% 174.25/27.49  | |   (7)  all_54_2 = e3 | all_54_2 = e2
% 174.25/27.49  | | 
% 174.25/27.49  | | REF_CLOSE: (2), (4), (5), (7) are inconsistent by sub-proof #691.
% 174.25/27.49  | | 
% 174.25/27.49  | End of split
% 174.25/27.49  | 
% 174.25/27.49  End of proof
% 174.25/27.49  
% 174.25/27.49  Sub-proof #691 shows that the following formulas are inconsistent:
% 174.25/27.49  ----------------------------------------------------------------
% 174.25/27.49    (1)  all_54_2 = e3 | all_54_2 = e2
% 174.25/27.49    (2)  all_54_2 = all_52_8
% 174.25/27.49    (3)   ~ (all_52_8 = e2)
% 174.25/27.49    (4)   ~ (all_52_8 = e3)
% 174.25/27.49  
% 174.25/27.49  Begin of proof
% 174.25/27.49  | 
% 174.25/27.49  | BETA: splitting (1) gives:
% 174.25/27.49  | 
% 174.25/27.49  | Case 1:
% 174.25/27.49  | | 
% 174.25/27.49  | |   (5)  all_54_2 = e2
% 174.25/27.49  | | 
% 174.25/27.49  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #692.
% 174.25/27.49  | | 
% 174.25/27.49  | Case 2:
% 174.25/27.49  | | 
% 174.25/27.49  | |   (6)  all_54_2 = e3
% 174.25/27.49  | | 
% 174.25/27.49  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #758.
% 174.25/27.49  | | 
% 174.25/27.49  | End of split
% 174.25/27.49  | 
% 174.25/27.49  End of proof
% 174.25/27.49  
% 174.25/27.49  Sub-proof #692 shows that the following formulas are inconsistent:
% 174.25/27.49  ----------------------------------------------------------------
% 174.25/27.49    (1)  all_54_2 = all_52_8
% 174.25/27.49    (2)  all_54_2 = e2
% 174.25/27.49    (3)   ~ (all_52_8 = e2)
% 174.25/27.49  
% 174.25/27.49  Begin of proof
% 174.25/27.49  | 
% 174.25/27.49  | COMBINE_EQS: (1), (2) imply:
% 174.25/27.49  |   (4)  all_52_8 = e2
% 174.25/27.49  | 
% 174.25/27.49  | SIMP: (4) implies:
% 174.25/27.49  |   (5)  all_52_8 = e2
% 174.25/27.49  | 
% 174.25/27.49  | REDUCE: (3), (5) imply:
% 174.25/27.49  |   (6)  $false
% 174.25/27.49  | 
% 174.25/27.49  | CLOSE: (6) is inconsistent.
% 174.25/27.49  | 
% 174.25/27.49  End of proof
% 174.25/27.49  
% 174.25/27.49  Sub-proof #693 shows that the following formulas are inconsistent:
% 174.25/27.49  ----------------------------------------------------------------
% 174.25/27.49    (1)  all_56_1 = all_52_4
% 174.25/27.49    (2)  all_56_12 = all_52_3
% 174.25/27.49    (3)   ~ (all_52_8 = all_52_12)
% 174.25/27.49    (4)   ~ (e3 = e1)
% 174.25/27.49    (5)  all_58_23 = all_52_7
% 174.25/27.49    (6)   ~ (all_52_2 = all_6_2)
% 174.25/27.49    (7)   ~ (all_52_4 = all_4_2)
% 174.25/27.49    (8)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.25/27.49    (9)  all_56_5 = all_52_9
% 174.25/27.49    (10)  op(all_6_2, e3) = all_6_1
% 174.25/27.49    (11)   ~ (all_52_6 = all_4_2)
% 174.25/27.49    (12)   ~ (all_52_9 = all_4_2)
% 174.25/27.49    (13)  all_54_6 = all_52_9
% 174.25/27.49    (14)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 174.25/27.49    (15)   ~ (all_52_13 = all_4_2)
% 174.25/27.49    (16)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.25/27.49    (17)   ~ (all_52_9 = e0)
% 174.25/27.49    (18)  all_58_31 = all_14_2
% 174.25/27.49    (19)   ~ (all_52_9 = all_52_13)
% 174.25/27.49    (20)   ~ (all_52_3 = all_6_2)
% 174.25/27.49    (21)   ~ (all_52_1 = all_6_2)
% 174.25/27.49    (22)  all_56_11 = all_52_14
% 174.25/27.49    (23)   ~ (all_4_1 = e0)
% 174.25/27.49    (24)  all_56_0 = all_6_2
% 174.25/27.49    (25)  all_58_30 = all_52_14
% 174.25/27.49    (26)  op(e3, e2) = all_52_4
% 174.25/27.49    (27)  op(all_4_2, e2) = all_4_1
% 174.25/27.49    (28)  all_58_17 = all_52_1
% 174.25/27.49    (29)  all_58_19 = all_52_3
% 174.25/27.49    (30)  all_56_9 = all_52_12
% 174.25/27.49    (31)   ~ (all_52_2 = all_52_6)
% 174.25/27.49    (32)   ~ (e3 = e2)
% 174.25/27.49    (33)   ~ (all_52_4 = all_52_7)
% 174.25/27.49    (34)   ~ (e2 = e1)
% 174.25/27.49    (35)  all_56_1 = e0
% 174.25/27.49    (36)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.25/27.49    (37)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 174.25/27.49    (38)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.25/27.49    (39)   ~ (all_52_13 = all_52_14)
% 174.25/27.49    (40)  op(e2, e3) = all_52_1
% 174.25/27.49    (41)  all_58_18 = all_52_2
% 174.25/27.49    (42)  all_58_16 = all_6_2
% 174.25/27.49    (43)  all_56_2 = all_52_1
% 174.25/27.49    (44)   ~ (e3 = e0)
% 174.25/27.49    (45)  all_58_29 = all_52_13
% 174.25/27.49    (46)   ~ (all_52_13 = e0)
% 174.25/27.49    (47)  all_56_4 = all_52_8
% 174.25/27.49    (48)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 174.25/27.49    (49)   ~ (all_52_1 = all_52_13)
% 174.25/27.49    (50)  all_58_20 = all_52_4
% 174.25/27.49    (51)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.25/27.49    (52)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 174.25/27.49    (53)  all_56_6 = all_52_2
% 174.25/27.49    (54)   ~ (all_52_1 = all_52_9)
% 174.25/27.49    (55)   ~ (all_52_12 = all_52_14)
% 174.25/27.49    (56)  all_58_22 = all_52_6
% 174.25/27.49    (57)   ~ (all_52_4 = all_52_12)
% 174.25/27.49    (58)  all_56_3 = all_4_2
% 174.25/27.49    (59)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 174.25/27.49    (60)   ~ (all_52_14 = all_14_2)
% 174.25/27.49    (61)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.25/27.49            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.25/27.49    (62)   ~ (all_6_1 = e0)
% 174.25/27.49    (63)   ~ (all_52_2 = all_52_14)
% 174.25/27.49    (64)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 174.25/27.49    (65)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 174.25/27.49    (66)  all_58_21 = all_4_2
% 174.25/27.49    (67)  all_56_10 = all_52_13
% 174.25/27.49    (68)  op(e2, all_52_9) = all_58_6
% 174.25/27.49    (69)   ~ (e2 = e0)
% 174.25/27.49    (70)   ~ (all_52_1 = all_52_3)
% 174.25/27.49    (71)  all_58_28 = all_52_12
% 174.25/27.49    (72)   ~ (e1 = e0)
% 174.25/27.49    (73)  all_54_5 = all_4_2
% 174.25/27.49    (74)  all_54_7 = all_52_13
% 174.25/27.49    (75)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.25/27.49    (76)   ~ (all_52_12 = all_52_13)
% 174.25/27.49  
% 174.25/27.49  Begin of proof
% 174.25/27.49  | 
% 174.25/27.49  | COMBINE_EQS: (1), (35) imply:
% 174.25/27.49  |   (77)  all_52_4 = e0
% 174.25/27.49  | 
% 174.25/27.49  | COMBINE_EQS: (50), (77) imply:
% 174.25/27.49  |   (78)  all_58_20 = e0
% 174.25/27.49  | 
% 174.25/27.49  | REDUCE: (33), (77) imply:
% 174.25/27.49  |   (79)   ~ (all_52_7 = e0)
% 174.25/27.49  | 
% 174.25/27.49  | SIMP: (79) implies:
% 174.25/27.49  |   (80)   ~ (all_52_7 = e0)
% 174.25/27.49  | 
% 174.25/27.49  | REDUCE: (57), (77) imply:
% 174.25/27.49  |   (81)   ~ (all_52_12 = e0)
% 174.25/27.49  | 
% 174.25/27.49  | SIMP: (81) implies:
% 174.25/27.49  |   (82)   ~ (all_52_12 = e0)
% 174.25/27.49  | 
% 174.25/27.49  | REDUCE: (7), (77) imply:
% 174.25/27.49  |   (83)   ~ (all_4_2 = e0)
% 174.25/27.49  | 
% 174.25/27.49  | SIMP: (83) implies:
% 174.25/27.49  |   (84)   ~ (all_4_2 = e0)
% 174.25/27.49  | 
% 174.25/27.49  | REDUCE: (26), (77) imply:
% 174.25/27.49  |   (85)  op(e3, e2) = e0
% 174.25/27.49  | 
% 174.25/27.49  | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13), (14),
% 174.25/27.49  |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 174.25/27.49  |            (27), (28), (29), (30), (31), (32), (34), (35), (36), (37), (38),
% 174.25/27.49  |            (39), (40), (41), (42), (43), (44), (45), (46), (47), (48), (49),
% 174.25/27.49  |            (51), (52), (53), (54), (55), (56), (58), (59), (60), (61), (62),
% 174.25/27.49  |            (63), (64), (65), (66), (67), (68), (69), (70), (71), (72), (73),
% 174.25/27.49  |            (74), (75), (76), (78), (80), (82), (84), (85) are inconsistent by
% 174.25/27.49  |            sub-proof #694.
% 174.25/27.49  | 
% 174.25/27.49  End of proof
% 174.25/27.49  
% 174.25/27.49  Sub-proof #694 shows that the following formulas are inconsistent:
% 174.25/27.49  ----------------------------------------------------------------
% 174.25/27.49    (1)  all_56_12 = all_52_3
% 174.25/27.49    (2)   ~ (all_52_8 = all_52_12)
% 174.25/27.49    (3)   ~ (e3 = e1)
% 174.25/27.49    (4)  all_58_23 = all_52_7
% 174.25/27.49    (5)   ~ (all_52_2 = all_6_2)
% 174.25/27.49    (6)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.25/27.49    (7)  all_56_5 = all_52_9
% 174.25/27.49    (8)  op(all_6_2, e3) = all_6_1
% 174.25/27.49    (9)   ~ (all_52_6 = all_4_2)
% 174.25/27.49    (10)   ~ (all_52_9 = all_4_2)
% 174.25/27.49    (11)  all_54_6 = all_52_9
% 174.25/27.49    (12)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 174.25/27.49    (13)   ~ (all_52_13 = all_4_2)
% 174.25/27.49    (14)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.25/27.49    (15)   ~ (all_52_9 = e0)
% 174.25/27.49    (16)  all_58_31 = all_14_2
% 174.25/27.49    (17)   ~ (all_52_9 = all_52_13)
% 174.25/27.49    (18)   ~ (all_52_3 = all_6_2)
% 174.25/27.49    (19)   ~ (all_52_1 = all_6_2)
% 174.25/27.49    (20)  all_56_11 = all_52_14
% 174.25/27.49    (21)   ~ (all_4_1 = e0)
% 174.25/27.49    (22)  all_56_0 = all_6_2
% 174.25/27.49    (23)  all_58_30 = all_52_14
% 174.25/27.49    (24)  op(all_4_2, e2) = all_4_1
% 174.25/27.49    (25)  all_58_17 = all_52_1
% 174.25/27.49    (26)  all_58_20 = e0
% 174.25/27.49    (27)  all_58_19 = all_52_3
% 174.25/27.49    (28)  all_56_9 = all_52_12
% 174.25/27.49    (29)   ~ (all_52_2 = all_52_6)
% 174.25/27.49    (30)   ~ (e3 = e2)
% 174.25/27.49    (31)   ~ (e2 = e1)
% 174.25/27.49    (32)  all_56_1 = e0
% 174.25/27.49    (33)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.25/27.49    (34)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 174.25/27.49    (35)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.25/27.49    (36)   ~ (all_52_13 = all_52_14)
% 174.25/27.49    (37)  op(e2, e3) = all_52_1
% 174.25/27.49    (38)  all_58_18 = all_52_2
% 174.25/27.49    (39)  all_58_16 = all_6_2
% 174.25/27.49    (40)   ~ (all_52_12 = e0)
% 174.25/27.49    (41)  all_56_2 = all_52_1
% 174.25/27.49    (42)   ~ (e3 = e0)
% 174.25/27.49    (43)  all_58_29 = all_52_13
% 174.25/27.49    (44)   ~ (all_52_13 = e0)
% 174.25/27.49    (45)  op(e3, e2) = e0
% 174.25/27.49    (46)   ~ (all_4_2 = e0)
% 174.25/27.49    (47)  all_56_4 = all_52_8
% 174.25/27.49    (48)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 174.25/27.49    (49)   ~ (all_52_1 = all_52_13)
% 174.25/27.49    (50)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.25/27.49    (51)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 174.25/27.49    (52)  all_56_6 = all_52_2
% 174.25/27.49    (53)   ~ (all_52_1 = all_52_9)
% 174.25/27.49    (54)   ~ (all_52_7 = e0)
% 174.25/27.49    (55)   ~ (all_52_12 = all_52_14)
% 174.25/27.49    (56)  all_58_22 = all_52_6
% 174.25/27.49    (57)  all_56_3 = all_4_2
% 174.25/27.49    (58)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 174.25/27.49    (59)   ~ (all_52_14 = all_14_2)
% 174.25/27.49    (60)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.25/27.49            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.25/27.49    (61)   ~ (all_6_1 = e0)
% 174.25/27.49    (62)   ~ (all_52_2 = all_52_14)
% 174.25/27.49    (63)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 174.25/27.49    (64)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 174.25/27.49    (65)  all_58_21 = all_4_2
% 174.25/27.49    (66)  all_56_10 = all_52_13
% 174.25/27.49    (67)  op(e2, all_52_9) = all_58_6
% 174.25/27.49    (68)   ~ (e2 = e0)
% 174.25/27.49    (69)   ~ (all_52_1 = all_52_3)
% 174.25/27.49    (70)  all_58_28 = all_52_12
% 174.25/27.49    (71)   ~ (e1 = e0)
% 174.25/27.49    (72)  all_54_5 = all_4_2
% 174.25/27.49    (73)  all_54_7 = all_52_13
% 174.25/27.49    (74)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.25/27.49    (75)   ~ (all_52_12 = all_52_13)
% 174.25/27.49  
% 174.25/27.49  Begin of proof
% 174.25/27.49  | 
% 174.25/27.49  | BETA: splitting (48) gives:
% 174.25/27.49  | 
% 174.25/27.49  | Case 1:
% 174.25/27.49  | | 
% 174.25/27.49  | |   (76)  all_56_2 = e0
% 174.25/27.49  | | 
% 174.25/27.49  | | COMBINE_EQS: (41), (76) imply:
% 174.25/27.49  | |   (77)  all_52_1 = e0
% 174.25/27.49  | | 
% 174.25/27.49  | | COMBINE_EQS: (25), (77) imply:
% 174.25/27.49  | |   (78)  all_58_17 = e0
% 174.25/27.49  | | 
% 174.25/27.49  | | REDUCE: (69), (77) imply:
% 174.25/27.49  | |   (79)   ~ (all_52_3 = e0)
% 174.25/27.49  | | 
% 174.25/27.49  | | SIMP: (79) implies:
% 174.25/27.49  | |   (80)   ~ (all_52_3 = e0)
% 174.25/27.49  | | 
% 174.25/27.49  | | REDUCE: (53), (77) imply:
% 174.25/27.49  | |   (81)   ~ (all_52_9 = e0)
% 174.25/27.49  | | 
% 174.25/27.49  | | REDUCE: (49), (77) imply:
% 174.25/27.49  | |   (82)   ~ (all_52_13 = e0)
% 174.25/27.49  | | 
% 174.25/27.49  | | REDUCE: (19), (77) imply:
% 174.25/27.49  | |   (83)   ~ (all_6_2 = e0)
% 174.25/27.49  | | 
% 174.25/27.49  | | SIMP: (83) implies:
% 174.25/27.49  | |   (84)   ~ (all_6_2 = e0)
% 174.25/27.49  | | 
% 174.25/27.49  | | REDUCE: (37), (77) imply:
% 174.25/27.49  | |   (85)  op(e2, e3) = e0
% 174.25/27.49  | | 
% 174.25/27.49  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 174.25/27.49  | |            (13), (14), (15), (16), (17), (18), (20), (21), (22), (23), (24),
% 174.25/27.49  | |            (26), (27), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 174.25/27.49  | |            (38), (39), (40), (42), (43), (44), (45), (47), (50), (51), (52),
% 174.25/27.49  | |            (54), (55), (56), (57), (58), (59), (60), (61), (62), (63), (64),
% 174.25/27.49  | |            (65), (66), (67), (68), (70), (71), (72), (73), (74), (75), (76),
% 174.25/27.49  | |            (78), (80), (84), (85) are inconsistent by sub-proof #697.
% 174.25/27.49  | | 
% 174.25/27.49  | Case 2:
% 174.25/27.49  | | 
% 174.25/27.49  | |   (86)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 174.25/27.49  | | 
% 174.25/27.49  | | REF_CLOSE: (7), (15), (44), (46), (57), (66), (86) are inconsistent by
% 174.25/27.49  | |            sub-proof #695.
% 174.25/27.49  | | 
% 174.25/27.49  | End of split
% 174.25/27.49  | 
% 174.25/27.49  End of proof
% 174.25/27.49  
% 174.25/27.49  Sub-proof #695 shows that the following formulas are inconsistent:
% 174.25/27.49  ----------------------------------------------------------------
% 174.25/27.49    (1)  all_56_5 = all_52_9
% 174.25/27.49    (2)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 174.25/27.49    (3)   ~ (all_52_9 = e0)
% 174.25/27.49    (4)   ~ (all_52_13 = e0)
% 174.25/27.49    (5)   ~ (all_4_2 = e0)
% 174.25/27.49    (6)  all_56_3 = all_4_2
% 174.25/27.49    (7)  all_56_10 = all_52_13
% 174.25/27.49  
% 174.25/27.49  Begin of proof
% 174.25/27.49  | 
% 174.25/27.49  | BETA: splitting (2) gives:
% 174.25/27.49  | 
% 174.25/27.49  | Case 1:
% 174.25/27.49  | | 
% 174.25/27.49  | |   (8)  all_56_3 = e0
% 174.25/27.49  | | 
% 174.25/27.49  | | COMBINE_EQS: (6), (8) imply:
% 174.25/27.49  | |   (9)  all_4_2 = e0
% 174.25/27.49  | | 
% 174.25/27.49  | | REDUCE: (5), (9) imply:
% 174.25/27.49  | |   (10)  $false
% 174.25/27.49  | | 
% 174.25/27.49  | | CLOSE: (10) is inconsistent.
% 174.25/27.49  | | 
% 174.25/27.49  | Case 2:
% 174.25/27.49  | | 
% 174.25/27.49  | |   (11)  all_56_5 = e0 | all_56_10 = e0
% 174.25/27.49  | | 
% 174.25/27.49  | | REF_CLOSE: (1), (3), (4), (7), (11) are inconsistent by sub-proof #696.
% 174.25/27.49  | | 
% 174.25/27.49  | End of split
% 174.25/27.49  | 
% 174.25/27.49  End of proof
% 174.25/27.49  
% 174.25/27.49  Sub-proof #696 shows that the following formulas are inconsistent:
% 174.25/27.49  ----------------------------------------------------------------
% 174.25/27.49    (1)  all_56_5 = all_52_9
% 174.25/27.49    (2)   ~ (all_52_9 = e0)
% 174.25/27.49    (3)  all_56_5 = e0 | all_56_10 = e0
% 174.25/27.49    (4)   ~ (all_52_13 = e0)
% 174.25/27.49    (5)  all_56_10 = all_52_13
% 174.25/27.49  
% 174.25/27.49  Begin of proof
% 174.25/27.49  | 
% 174.25/27.49  | BETA: splitting (3) gives:
% 174.25/27.49  | 
% 174.25/27.49  | Case 1:
% 174.25/27.49  | | 
% 174.25/27.49  | |   (6)  all_56_5 = e0
% 174.25/27.49  | | 
% 174.25/27.49  | | COMBINE_EQS: (1), (6) imply:
% 174.25/27.49  | |   (7)  all_52_9 = e0
% 174.25/27.49  | | 
% 174.25/27.49  | | REDUCE: (2), (7) imply:
% 174.25/27.49  | |   (8)  $false
% 174.25/27.49  | | 
% 174.25/27.49  | | CLOSE: (8) is inconsistent.
% 174.25/27.49  | | 
% 174.25/27.49  | Case 2:
% 174.25/27.49  | | 
% 174.25/27.49  | |   (9)  all_56_10 = e0
% 174.25/27.49  | | 
% 174.25/27.49  | | REF_CLOSE: (4), (5), (9) are inconsistent by sub-proof #943.
% 174.25/27.49  | | 
% 174.25/27.49  | End of split
% 174.25/27.49  | 
% 174.25/27.49  End of proof
% 174.25/27.49  
% 174.25/27.49  Sub-proof #697 shows that the following formulas are inconsistent:
% 174.25/27.49  ----------------------------------------------------------------
% 174.25/27.49    (1)  all_56_12 = all_52_3
% 174.25/27.49    (2)   ~ (all_52_8 = all_52_12)
% 174.25/27.49    (3)   ~ (e3 = e1)
% 174.25/27.49    (4)  all_58_23 = all_52_7
% 174.25/27.49    (5)   ~ (all_52_2 = all_6_2)
% 174.25/27.49    (6)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.25/27.49    (7)  all_56_5 = all_52_9
% 174.25/27.49    (8)  op(all_6_2, e3) = all_6_1
% 174.25/27.49    (9)  op(e2, e3) = e0
% 174.25/27.49    (10)   ~ (all_52_6 = all_4_2)
% 174.25/27.49    (11)   ~ (all_52_9 = all_4_2)
% 174.25/27.49    (12)  all_54_6 = all_52_9
% 174.25/27.49    (13)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 174.25/27.49    (14)   ~ (all_52_13 = all_4_2)
% 174.25/27.49    (15)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.25/27.49    (16)   ~ (all_52_9 = e0)
% 174.25/27.49    (17)  all_58_31 = all_14_2
% 174.25/27.49    (18)   ~ (all_52_9 = all_52_13)
% 174.25/27.49    (19)   ~ (all_52_3 = all_6_2)
% 174.25/27.49    (20)  all_56_11 = all_52_14
% 174.25/27.49    (21)   ~ (all_4_1 = e0)
% 174.25/27.49    (22)  all_56_0 = all_6_2
% 174.25/27.49    (23)  all_58_30 = all_52_14
% 174.25/27.49    (24)  op(all_4_2, e2) = all_4_1
% 174.25/27.49    (25)  all_58_20 = e0
% 174.25/27.49    (26)  all_58_19 = all_52_3
% 174.25/27.49    (27)  all_56_9 = all_52_12
% 174.25/27.49    (28)   ~ (all_52_2 = all_52_6)
% 174.25/27.49    (29)  all_56_2 = e0
% 174.25/27.49    (30)   ~ (e3 = e2)
% 174.25/27.49    (31)   ~ (e2 = e1)
% 174.25/27.49    (32)  all_56_1 = e0
% 174.25/27.49    (33)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.25/27.49    (34)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 174.25/27.49    (35)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.25/27.49    (36)   ~ (all_52_13 = all_52_14)
% 174.25/27.49    (37)  all_58_18 = all_52_2
% 174.25/27.49    (38)  all_58_16 = all_6_2
% 174.25/27.49    (39)   ~ (all_52_12 = e0)
% 174.25/27.49    (40)   ~ (e3 = e0)
% 174.25/27.49    (41)  all_58_29 = all_52_13
% 174.25/27.49    (42)   ~ (all_52_13 = e0)
% 174.25/27.49    (43)  op(e3, e2) = e0
% 174.25/27.49    (44)   ~ (all_6_2 = e0)
% 174.25/27.49    (45)  all_56_4 = all_52_8
% 174.25/27.49    (46)  all_58_17 = e0
% 174.25/27.49    (47)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.25/27.49    (48)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 174.25/27.49    (49)  all_56_6 = all_52_2
% 174.25/27.50    (50)   ~ (all_52_7 = e0)
% 174.25/27.50    (51)   ~ (all_52_12 = all_52_14)
% 174.25/27.50    (52)  all_58_22 = all_52_6
% 174.25/27.50    (53)  all_56_3 = all_4_2
% 174.25/27.50    (54)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 174.25/27.50    (55)   ~ (all_52_14 = all_14_2)
% 174.25/27.50    (56)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.25/27.50            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.25/27.50    (57)   ~ (all_6_1 = e0)
% 174.25/27.50    (58)   ~ (all_52_2 = all_52_14)
% 174.25/27.50    (59)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 174.25/27.50    (60)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 174.25/27.50    (61)  all_58_21 = all_4_2
% 174.25/27.50    (62)  all_56_10 = all_52_13
% 174.25/27.50    (63)   ~ (all_52_3 = e0)
% 174.25/27.50    (64)  op(e2, all_52_9) = all_58_6
% 174.25/27.50    (65)   ~ (e2 = e0)
% 174.25/27.50    (66)  all_58_28 = all_52_12
% 174.25/27.50    (67)   ~ (e1 = e0)
% 174.25/27.50    (68)  all_54_5 = all_4_2
% 174.25/27.50    (69)  all_54_7 = all_52_13
% 174.25/27.50    (70)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.25/27.50    (71)   ~ (all_52_12 = all_52_13)
% 174.25/27.50  
% 174.25/27.50  Begin of proof
% 174.25/27.50  | 
% 174.25/27.50  | BETA: splitting (59) gives:
% 174.25/27.50  | 
% 174.25/27.50  | Case 1:
% 174.25/27.50  | | 
% 174.25/27.50  | |   (72)  all_56_9 = e0
% 174.25/27.50  | | 
% 174.25/27.50  | | REF_CLOSE: (27), (39), (72) are inconsistent by sub-proof #908.
% 174.25/27.50  | | 
% 174.25/27.50  | Case 2:
% 174.25/27.50  | | 
% 174.25/27.50  | |   (73)  all_56_10 = e0 | all_56_11 = e0
% 174.25/27.50  | | 
% 174.25/27.50  | | BETA: splitting (73) gives:
% 174.25/27.50  | | 
% 174.25/27.50  | | Case 1:
% 174.25/27.50  | | | 
% 174.25/27.50  | | |   (74)  all_56_10 = e0
% 174.25/27.50  | | | 
% 174.25/27.50  | | | REF_CLOSE: (42), (62), (74) are inconsistent by sub-proof #943.
% 174.25/27.50  | | | 
% 174.25/27.50  | | Case 2:
% 174.25/27.50  | | | 
% 174.25/27.50  | | |   (75)  all_56_11 = e0
% 174.25/27.50  | | | 
% 174.25/27.50  | | | COMBINE_EQS: (20), (75) imply:
% 174.25/27.50  | | |   (76)  all_52_14 = e0
% 174.25/27.50  | | | 
% 174.25/27.50  | | | SIMP: (76) implies:
% 174.25/27.50  | | |   (77)  all_52_14 = e0
% 174.25/27.50  | | | 
% 174.25/27.50  | | | COMBINE_EQS: (23), (77) imply:
% 174.25/27.50  | | |   (78)  all_58_30 = e0
% 174.25/27.50  | | | 
% 174.25/27.50  | | | REDUCE: (58), (77) imply:
% 174.25/27.50  | | |   (79)   ~ (all_52_2 = e0)
% 174.25/27.50  | | | 
% 174.25/27.50  | | | REDUCE: (55), (77) imply:
% 174.25/27.50  | | |   (80)   ~ (all_14_2 = e0)
% 174.25/27.50  | | | 
% 174.25/27.50  | | | SIMP: (80) implies:
% 174.25/27.50  | | |   (81)   ~ (all_14_2 = e0)
% 174.25/27.50  | | | 
% 174.25/27.50  | | | BETA: splitting (34) gives:
% 174.25/27.50  | | | 
% 174.25/27.50  | | | Case 1:
% 174.25/27.50  | | | | 
% 174.25/27.50  | | | |   (82)  all_54_7 = e0
% 174.25/27.50  | | | | 
% 174.25/27.50  | | | | REF_CLOSE: (42), (69), (82) are inconsistent by sub-proof #714.
% 174.25/27.50  | | | | 
% 174.25/27.50  | | | Case 2:
% 174.25/27.50  | | | | 
% 174.25/27.50  | | | |   (83)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 174.25/27.50  | | | | 
% 174.25/27.50  | | | | BETA: splitting (13) gives:
% 174.25/27.50  | | | | 
% 174.25/27.50  | | | | Case 1:
% 174.25/27.50  | | | | | 
% 174.25/27.50  | | | | |   (84)  all_54_6 = e0
% 174.25/27.50  | | | | | 
% 174.25/27.50  | | | | | REF_CLOSE: (12), (16), (84) are inconsistent by sub-proof #901.
% 174.25/27.50  | | | | | 
% 174.25/27.50  | | | | Case 2:
% 174.25/27.50  | | | | | 
% 174.25/27.50  | | | | |   (85)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 174.25/27.50  | | | | | 
% 174.25/27.50  | | | | | BETA: splitting (47) gives:
% 174.25/27.50  | | | | | 
% 174.25/27.50  | | | | | Case 1:
% 174.25/27.50  | | | | | | 
% 174.25/27.50  | | | | | |   (86)  all_58_23 = e0
% 174.25/27.50  | | | | | | 
% 174.25/27.50  | | | | | | COMBINE_EQS: (4), (86) imply:
% 174.25/27.50  | | | | | |   (87)  all_52_7 = e0
% 174.25/27.50  | | | | | | 
% 174.25/27.50  | | | | | | REDUCE: (50), (87) imply:
% 174.25/27.50  | | | | | |   (88)  $false
% 174.25/27.50  | | | | | | 
% 174.25/27.50  | | | | | | CLOSE: (88) is inconsistent.
% 174.25/27.50  | | | | | | 
% 174.25/27.50  | | | | | Case 2:
% 174.25/27.50  | | | | | | 
% 174.25/27.50  | | | | | |   (89)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.25/27.50  | | | | | | 
% 174.25/27.50  | | | | | | BETA: splitting (15) gives:
% 174.25/27.50  | | | | | | 
% 174.25/27.50  | | | | | | Case 1:
% 174.25/27.50  | | | | | | | 
% 174.25/27.50  | | | | | | |   (90)  all_58_31 = e0
% 174.25/27.50  | | | | | | | 
% 174.25/27.50  | | | | | | | COMBINE_EQS: (17), (90) imply:
% 174.25/27.50  | | | | | | |   (91)  all_14_2 = e0
% 174.25/27.50  | | | | | | | 
% 174.25/27.50  | | | | | | | REDUCE: (81), (91) imply:
% 174.25/27.50  | | | | | | |   (92)  $false
% 174.25/27.50  | | | | | | | 
% 174.25/27.50  | | | | | | | CLOSE: (92) is inconsistent.
% 174.25/27.50  | | | | | | | 
% 174.25/27.50  | | | | | | Case 2:
% 174.25/27.50  | | | | | | | 
% 174.25/27.50  | | | | | | |   (93)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.25/27.50  | | | | | | | 
% 174.25/27.50  | | | | | | | BETA: splitting (6) gives:
% 174.25/27.50  | | | | | | | 
% 174.25/27.50  | | | | | | | Case 1:
% 174.25/27.50  | | | | | | | | 
% 174.25/27.50  | | | | | | | |   (94)  all_58_19 = e0
% 174.25/27.50  | | | | | | | | 
% 174.25/27.50  | | | | | | | | COMBINE_EQS: (26), (94) imply:
% 174.25/27.50  | | | | | | | |   (95)  all_52_3 = e0
% 174.25/27.50  | | | | | | | | 
% 174.25/27.50  | | | | | | | | REDUCE: (63), (95) imply:
% 174.25/27.50  | | | | | | | |   (96)  $false
% 174.25/27.50  | | | | | | | | 
% 174.25/27.50  | | | | | | | | CLOSE: (96) is inconsistent.
% 174.25/27.50  | | | | | | | | 
% 174.25/27.50  | | | | | | | Case 2:
% 174.25/27.50  | | | | | | | | 
% 174.25/27.50  | | | | | | | |   (97)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.25/27.50  | | | | | | | | 
% 174.25/27.50  | | | | | | | | BETA: splitting (33) gives:
% 174.25/27.50  | | | | | | | | 
% 174.25/27.50  | | | | | | | | Case 1:
% 174.25/27.50  | | | | | | | | | 
% 174.25/27.50  | | | | | | | | |   (98)  all_56_0 = e2
% 174.25/27.50  | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | COMBINE_EQS: (22), (98) imply:
% 174.25/27.50  | | | | | | | | |   (99)  all_6_2 = e2
% 174.25/27.50  | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | COMBINE_EQS: (38), (99) imply:
% 174.25/27.50  | | | | | | | | |   (100)  all_58_16 = e2
% 174.25/27.50  | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | REDUCE: (8), (99) imply:
% 174.25/27.50  | | | | | | | | |   (101)  op(e2, e3) = all_6_1
% 174.25/27.50  | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | BETA: splitting (97) gives:
% 174.25/27.50  | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | Case 1:
% 174.25/27.50  | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | |   (102)  all_58_18 = e1
% 174.25/27.50  | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | COMBINE_EQS: (37), (102) imply:
% 174.25/27.50  | | | | | | | | | |   (103)  all_52_2 = e1
% 174.25/27.50  | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | SIMP: (103) implies:
% 174.25/27.50  | | | | | | | | | |   (104)  all_52_2 = e1
% 174.25/27.50  | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | REDUCE: (28), (104) imply:
% 174.25/27.50  | | | | | | | | | |   (105)   ~ (all_52_6 = e1)
% 174.25/27.50  | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | SIMP: (105) implies:
% 174.25/27.50  | | | | | | | | | |   (106)   ~ (all_52_6 = e1)
% 174.25/27.50  | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | BETA: splitting (89) gives:
% 174.25/27.50  | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | Case 1:
% 174.25/27.50  | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | |   (107)  all_58_22 = e1
% 174.25/27.50  | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | COMBINE_EQS: (52), (107) imply:
% 174.25/27.50  | | | | | | | | | | |   (108)  all_52_6 = e1
% 174.25/27.50  | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | REDUCE: (106), (108) imply:
% 174.25/27.50  | | | | | | | | | | |   (109)  $false
% 174.25/27.50  | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | CLOSE: (109) is inconsistent.
% 174.25/27.50  | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | Case 2:
% 174.25/27.50  | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | |   (110)  all_58_20 = e3 | all_58_21 = e2
% 174.25/27.50  | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | BETA: splitting (110) gives:
% 174.25/27.50  | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | Case 1:
% 174.25/27.50  | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | |   (111)  all_58_21 = e2
% 174.25/27.50  | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | COMBINE_EQS: (61), (111) imply:
% 174.25/27.50  | | | | | | | | | | | |   (112)  all_4_2 = e2
% 174.25/27.50  | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | REDUCE: (11), (112) imply:
% 174.25/27.50  | | | | | | | | | | | |   (113)   ~ (all_52_9 = e2)
% 174.25/27.50  | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | REDUCE: (14), (112) imply:
% 174.25/27.50  | | | | | | | | | | | |   (114)   ~ (all_52_13 = e2)
% 174.25/27.50  | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | BETA: splitting (93) gives:
% 174.25/27.50  | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | Case 1:
% 174.25/27.50  | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | |   (115)  all_58_30 = e1
% 174.25/27.50  | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | | REF_CLOSE: (67), (78), (115) are inconsistent by sub-proof
% 174.25/27.50  | | | | | | | | | | | | |            #838.
% 174.25/27.50  | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | Case 2:
% 174.25/27.50  | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | |   (116)  all_58_28 = e3 | all_58_29 = e2
% 174.25/27.50  | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | | REF_CLOSE: (2), (7), (9), (12), (18), (41), (45), (48), (56),
% 174.25/27.50  | | | | | | | | | | | | |            (57), (64), (66), (69), (71), (83), (85), (101),
% 174.25/27.50  | | | | | | | | | | | | |            (113), (114), (116) are inconsistent by sub-proof
% 174.25/27.50  | | | | | | | | | | | | |            #706.
% 174.25/27.50  | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | End of split
% 174.25/27.50  | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | Case 2:
% 174.25/27.50  | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | |   (117)  all_58_20 = e3
% 174.25/27.50  | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | REF_CLOSE: (25), (40), (117) are inconsistent by sub-proof
% 174.25/27.50  | | | | | | | | | | | |            #948.
% 174.25/27.50  | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | End of split
% 174.25/27.50  | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | End of split
% 174.25/27.50  | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | Case 2:
% 174.25/27.50  | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | |   (118)  all_58_16 = e3 | all_58_17 = e2
% 174.25/27.50  | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | REF_CLOSE: (30), (46), (65), (100), (118) are inconsistent by
% 174.25/27.50  | | | | | | | | | |            sub-proof #705.
% 174.25/27.50  | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | End of split
% 174.25/27.50  | | | | | | | | | 
% 174.25/27.50  | | | | | | | | Case 2:
% 174.25/27.50  | | | | | | | | | 
% 174.25/27.50  | | | | | | | | |   (119)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.25/27.50  | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | BETA: splitting (119) gives:
% 174.25/27.50  | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | Case 1:
% 174.25/27.50  | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | |   (120)  all_56_1 = e2
% 174.25/27.50  | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | REF_CLOSE: (32), (65), (120) are inconsistent by sub-proof
% 174.25/27.50  | | | | | | | | | |            #950.
% 174.25/27.50  | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | Case 2:
% 174.25/27.50  | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | |   (121)   ~ (all_56_1 = e2)
% 174.25/27.50  | | | | | | | | | |   (122)  all_56_4 = e2 | all_56_9 = e2
% 174.25/27.50  | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | REDUCE: (32), (121) imply:
% 174.25/27.50  | | | | | | | | | |   (123)   ~ (e2 = e0)
% 174.25/27.50  | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | BETA: splitting (122) gives:
% 174.25/27.50  | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | Case 1:
% 174.25/27.50  | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | |   (124)  all_56_4 = e2
% 174.25/27.50  | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | BETA: splitting (54) gives:
% 174.25/27.50  | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | Case 1:
% 174.25/27.50  | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | |   (125)  all_56_0 = e1
% 174.25/27.50  | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | REF_CLOSE: (1), (3), (5), (19), (22), (29), (35), (37), (38),
% 174.25/27.50  | | | | | | | | | | | |            (44), (46), (49), (65), (97), (125) are
% 174.25/27.50  | | | | | | | | | | | |            inconsistent by sub-proof #701.
% 174.25/27.50  | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | Case 2:
% 174.25/27.50  | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | |   (126)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 174.25/27.50  | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | BETA: splitting (126) gives:
% 174.25/27.50  | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | Case 1:
% 174.25/27.50  | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | |   (127)  all_56_1 = e1
% 174.25/27.50  | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | | REF_CLOSE: (32), (67), (127) are inconsistent by sub-proof
% 174.25/27.50  | | | | | | | | | | | | |            #754.
% 174.25/27.50  | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | Case 2:
% 174.25/27.50  | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | |   (128)  all_56_4 = e1 | all_56_9 = e1
% 174.25/27.50  | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | | BETA: splitting (128) gives:
% 174.25/27.50  | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | | Case 1:
% 174.25/27.50  | | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | | |   (129)  all_56_4 = e1
% 174.25/27.50  | | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | | | REF_CLOSE: (31), (124), (129) are inconsistent by sub-proof
% 174.25/27.50  | | | | | | | | | | | | | |            #700.
% 174.25/27.50  | | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | | Case 2:
% 174.25/27.50  | | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | | |   (130)  all_56_9 = e1
% 174.25/27.50  | | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | | | COMBINE_EQS: (27), (130) imply:
% 174.25/27.50  | | | | | | | | | | | | | |   (131)  all_52_12 = e1
% 174.25/27.50  | | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | | | SIMP: (131) implies:
% 174.25/27.50  | | | | | | | | | | | | | |   (132)  all_52_12 = e1
% 174.25/27.50  | | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | | | COMBINE_EQS: (66), (132) imply:
% 174.25/27.50  | | | | | | | | | | | | | |   (133)  all_58_28 = e1
% 174.25/27.50  | | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | | | BETA: splitting (93) gives:
% 174.25/27.50  | | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | | | Case 1:
% 174.25/27.50  | | | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | | | |   (134)  all_58_30 = e1
% 174.25/27.50  | | | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | | | | REF_CLOSE: (67), (78), (134) are inconsistent by sub-proof
% 174.25/27.50  | | | | | | | | | | | | | | |            #838.
% 174.25/27.50  | | | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | | | Case 2:
% 174.25/27.50  | | | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | | | |   (135)  all_58_28 = e3 | all_58_29 = e2
% 174.25/27.50  | | | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | | | | BETA: splitting (135) gives:
% 174.25/27.50  | | | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | | | | Case 1:
% 174.25/27.50  | | | | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | | | | |   (136)  all_58_29 = e2
% 174.25/27.50  | | | | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | | | | | REF_CLOSE: (10), (14), (21), (24), (25), (29), (40), (41),
% 174.25/27.50  | | | | | | | | | | | | | | | |            (43), (52), (53), (56), (60), (61), (68), (70),
% 174.25/27.50  | | | | | | | | | | | | | | | |            (89), (136) are inconsistent by sub-proof #698.
% 174.25/27.50  | | | | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | | | | Case 2:
% 174.25/27.50  | | | | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | | | | |   (137)  all_58_28 = e3
% 174.25/27.50  | | | | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | | | | | REF_CLOSE: (3), (133), (137) are inconsistent by sub-proof
% 174.25/27.50  | | | | | | | | | | | | | | | |            #837.
% 174.25/27.50  | | | | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | | | | End of split
% 174.25/27.50  | | | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | | | End of split
% 174.25/27.50  | | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | | End of split
% 174.25/27.50  | | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | | End of split
% 174.25/27.50  | | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | End of split
% 174.25/27.50  | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | Case 2:
% 174.25/27.50  | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | |   (138)  all_56_9 = e2
% 174.25/27.50  | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | COMBINE_EQS: (27), (138) imply:
% 174.25/27.50  | | | | | | | | | | |   (139)  all_52_12 = e2
% 174.25/27.50  | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | SIMP: (139) implies:
% 174.25/27.50  | | | | | | | | | | |   (140)  all_52_12 = e2
% 174.25/27.50  | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | COMBINE_EQS: (66), (140) imply:
% 174.25/27.50  | | | | | | | | | | |   (141)  all_58_28 = e2
% 174.25/27.50  | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | REDUCE: (71), (140) imply:
% 174.25/27.50  | | | | | | | | | | |   (142)   ~ (all_52_13 = e2)
% 174.25/27.50  | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | SIMP: (142) implies:
% 174.25/27.50  | | | | | | | | | | |   (143)   ~ (all_52_13 = e2)
% 174.25/27.50  | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | | REF_CLOSE: (30), (41), (67), (78), (93), (141), (143) are
% 174.25/27.50  | | | | | | | | | | |            inconsistent by sub-proof #756.
% 174.25/27.50  | | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | | End of split
% 174.25/27.50  | | | | | | | | | | 
% 174.25/27.50  | | | | | | | | | End of split
% 174.25/27.50  | | | | | | | | | 
% 174.25/27.50  | | | | | | | | End of split
% 174.25/27.50  | | | | | | | | 
% 174.25/27.50  | | | | | | | End of split
% 174.25/27.50  | | | | | | | 
% 174.25/27.50  | | | | | | End of split
% 174.25/27.50  | | | | | | 
% 174.25/27.50  | | | | | End of split
% 174.25/27.50  | | | | | 
% 174.25/27.50  | | | | End of split
% 174.25/27.50  | | | | 
% 174.25/27.50  | | | End of split
% 174.25/27.50  | | | 
% 174.25/27.50  | | End of split
% 174.25/27.50  | | 
% 174.25/27.50  | End of split
% 174.25/27.50  | 
% 174.25/27.50  End of proof
% 174.25/27.50  
% 174.25/27.50  Sub-proof #698 shows that the following formulas are inconsistent:
% 174.25/27.50  ----------------------------------------------------------------
% 174.25/27.50    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.25/27.50    (2)   ~ (all_52_6 = all_4_2)
% 174.25/27.50    (3)   ~ (all_52_13 = all_4_2)
% 174.25/27.50    (4)   ~ (all_4_1 = e0)
% 174.25/27.50    (5)  op(all_4_2, e2) = all_4_1
% 174.25/27.50    (6)  all_58_20 = e0
% 174.25/27.50    (7)  all_56_2 = e0
% 174.25/27.50    (8)   ~ (e3 = e0)
% 174.25/27.50    (9)  all_58_29 = all_52_13
% 174.25/27.50    (10)  op(e3, e2) = e0
% 174.25/27.50    (11)  all_58_22 = all_52_6
% 174.25/27.50    (12)  all_56_3 = all_4_2
% 174.25/27.50    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.25/27.50            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.25/27.50    (14)  all_58_29 = e2
% 174.25/27.50    (15)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 174.25/27.50    (16)  all_58_21 = all_4_2
% 174.25/27.50    (17)  all_54_5 = all_4_2
% 174.25/27.50    (18)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.25/27.50  
% 174.25/27.50  Begin of proof
% 174.25/27.50  | 
% 174.25/27.50  | COMBINE_EQS: (9), (14) imply:
% 174.25/27.50  |   (19)  all_52_13 = e2
% 174.25/27.50  | 
% 174.25/27.50  | REDUCE: (3), (19) imply:
% 174.25/27.50  |   (20)   ~ (all_4_2 = e2)
% 174.25/27.50  | 
% 174.25/27.50  | SIMP: (20) implies:
% 174.25/27.50  |   (21)   ~ (all_4_2 = e2)
% 174.25/27.50  | 
% 174.25/27.50  | BETA: splitting (1) gives:
% 174.25/27.50  | 
% 174.25/27.50  | Case 1:
% 174.25/27.50  | | 
% 174.25/27.50  | |   (22)  all_58_22 = e1
% 174.25/27.50  | | 
% 174.25/27.50  | | COMBINE_EQS: (11), (22) imply:
% 174.25/27.50  | |   (23)  all_52_6 = e1
% 174.25/27.50  | | 
% 174.25/27.50  | | REDUCE: (2), (23) imply:
% 174.25/27.50  | |   (24)   ~ (all_4_2 = e1)
% 174.25/27.50  | | 
% 174.25/27.50  | | SIMP: (24) implies:
% 174.25/27.50  | |   (25)   ~ (all_4_2 = e1)
% 174.25/27.50  | | 
% 174.25/27.50  | | BETA: splitting (18) gives:
% 174.25/27.50  | | 
% 174.25/27.50  | | Case 1:
% 174.25/27.50  | | | 
% 174.25/27.50  | | |   (26)  all_56_2 = e3
% 174.25/27.50  | | | 
% 174.25/27.50  | | | REF_CLOSE: (7), (8), (26) are inconsistent by sub-proof #699.
% 174.25/27.50  | | | 
% 174.25/27.50  | | Case 2:
% 174.25/27.50  | | | 
% 174.25/27.50  | | |   (27)  all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.25/27.50  | | | 
% 174.25/27.50  | | | REF_CLOSE: (4), (5), (10), (12), (13), (15), (17), (21), (25), (27) are
% 174.25/27.50  | | |            inconsistent by sub-proof #957.
% 174.25/27.50  | | | 
% 174.25/27.50  | | End of split
% 174.25/27.50  | | 
% 174.25/27.50  | Case 2:
% 174.25/27.50  | | 
% 174.25/27.50  | |   (28)  all_58_20 = e3 | all_58_21 = e2
% 174.25/27.50  | | 
% 174.25/27.50  | | REF_CLOSE: (6), (8), (16), (21), (28) are inconsistent by sub-proof #974.
% 174.25/27.50  | | 
% 174.25/27.50  | End of split
% 174.25/27.50  | 
% 174.25/27.50  End of proof
% 174.25/27.50  
% 174.25/27.50  Sub-proof #699 shows that the following formulas are inconsistent:
% 174.25/27.50  ----------------------------------------------------------------
% 174.25/27.50    (1)  all_56_2 = e3
% 174.25/27.50    (2)  all_56_2 = e0
% 174.25/27.50    (3)   ~ (e3 = e0)
% 174.25/27.50  
% 174.25/27.50  Begin of proof
% 174.25/27.50  | 
% 174.25/27.50  | COMBINE_EQS: (1), (2) imply:
% 174.25/27.50  |   (4)  e3 = e0
% 174.25/27.50  | 
% 174.25/27.50  | SIMP: (4) implies:
% 174.25/27.50  |   (5)  e3 = e0
% 174.25/27.50  | 
% 174.25/27.50  | REDUCE: (3), (5) imply:
% 174.25/27.50  |   (6)  $false
% 174.25/27.50  | 
% 174.25/27.50  | CLOSE: (6) is inconsistent.
% 174.25/27.50  | 
% 174.25/27.50  End of proof
% 174.25/27.50  
% 174.25/27.50  Sub-proof #700 shows that the following formulas are inconsistent:
% 174.25/27.50  ----------------------------------------------------------------
% 174.25/27.50    (1)  all_56_4 = e2
% 174.25/27.50    (2)  all_56_4 = e1
% 174.25/27.50    (3)   ~ (e2 = e1)
% 174.25/27.50  
% 174.25/27.50  Begin of proof
% 174.25/27.50  | 
% 174.25/27.50  | COMBINE_EQS: (1), (2) imply:
% 174.25/27.50  |   (4)  e2 = e1
% 174.25/27.50  | 
% 174.25/27.50  | SIMP: (4) implies:
% 174.25/27.50  |   (5)  e2 = e1
% 174.25/27.50  | 
% 174.25/27.50  | REDUCE: (3), (5) imply:
% 174.25/27.50  |   (6)  $false
% 174.25/27.50  | 
% 174.25/27.50  | CLOSE: (6) is inconsistent.
% 174.25/27.50  | 
% 174.25/27.50  End of proof
% 174.25/27.50  
% 174.25/27.50  Sub-proof #701 shows that the following formulas are inconsistent:
% 174.25/27.50  ----------------------------------------------------------------
% 174.25/27.50    (1)  all_56_12 = all_52_3
% 174.25/27.50    (2)   ~ (e3 = e1)
% 174.25/27.50    (3)   ~ (all_52_2 = all_6_2)
% 174.25/27.50    (4)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.25/27.50    (5)  all_56_0 = e1
% 174.25/27.50    (6)   ~ (all_52_3 = all_6_2)
% 174.25/27.50    (7)  all_56_0 = all_6_2
% 174.25/27.50    (8)  all_56_2 = e0
% 174.25/27.50    (9)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.25/27.50    (10)  all_58_18 = all_52_2
% 174.25/27.50    (11)  all_58_16 = all_6_2
% 174.25/27.50    (12)   ~ (all_6_2 = e0)
% 174.25/27.50    (13)  all_58_17 = e0
% 174.25/27.50    (14)  all_56_6 = all_52_2
% 174.25/27.50    (15)   ~ (e2 = e0)
% 174.25/27.50  
% 174.25/27.50  Begin of proof
% 174.25/27.50  | 
% 174.25/27.50  | COMBINE_EQS: (5), (7) imply:
% 174.25/27.50  |   (16)  all_6_2 = e1
% 174.25/27.50  | 
% 174.25/27.50  | REDUCE: (3), (16) imply:
% 174.25/27.50  |   (17)   ~ (all_52_2 = e1)
% 174.25/27.50  | 
% 174.25/27.50  | REDUCE: (6), (16) imply:
% 174.25/27.50  |   (18)   ~ (all_52_3 = e1)
% 174.25/27.50  | 
% 174.25/27.50  | REDUCE: (12), (16) imply:
% 174.25/27.50  |   (19)   ~ (e1 = e0)
% 174.25/27.50  | 
% 174.25/27.50  | REF_CLOSE: (1), (2), (4), (7), (8), (9), (10), (11), (13), (14), (15), (17),
% 174.25/27.50  |            (18), (19) are inconsistent by sub-proof #702.
% 174.25/27.50  | 
% 174.25/27.50  End of proof
% 174.25/27.50  
% 174.25/27.50  Sub-proof #702 shows that the following formulas are inconsistent:
% 174.25/27.50  ----------------------------------------------------------------
% 174.25/27.50    (1)  all_56_12 = all_52_3
% 174.25/27.50    (2)   ~ (e3 = e1)
% 174.25/27.50    (3)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.25/27.50    (4)  all_56_0 = all_6_2
% 174.25/27.50    (5)  all_56_2 = e0
% 174.25/27.50    (6)   ~ (all_52_2 = e1)
% 174.25/27.50    (7)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.25/27.50    (8)   ~ (all_52_3 = e1)
% 174.25/27.50    (9)  all_58_18 = all_52_2
% 174.25/27.50    (10)  all_58_16 = all_6_2
% 174.25/27.50    (11)  all_58_17 = e0
% 174.25/27.50    (12)  all_56_6 = all_52_2
% 174.25/27.50    (13)   ~ (e2 = e0)
% 174.25/27.50    (14)   ~ (e1 = e0)
% 174.25/27.50  
% 174.25/27.50  Begin of proof
% 174.25/27.50  | 
% 174.25/27.50  | BETA: splitting (7) gives:
% 174.25/27.50  | 
% 174.25/27.50  | Case 1:
% 174.25/27.50  | | 
% 174.25/27.50  | |   (15)  all_56_0 = e1
% 174.25/27.50  | | 
% 174.25/27.50  | | COMBINE_EQS: (4), (15) imply:
% 174.25/27.50  | |   (16)  all_6_2 = e1
% 174.25/27.50  | | 
% 174.25/27.50  | | SIMP: (16) implies:
% 174.25/27.50  | |   (17)  all_6_2 = e1
% 174.25/27.50  | | 
% 174.25/27.50  | | COMBINE_EQS: (10), (17) imply:
% 174.25/27.50  | |   (18)  all_58_16 = e1
% 174.25/27.50  | | 
% 174.25/27.50  | | REF_CLOSE: (2), (3), (6), (9), (11), (13), (18) are inconsistent by
% 174.25/27.50  | |            sub-proof #938.
% 174.25/27.50  | | 
% 174.25/27.50  | Case 2:
% 174.25/27.50  | | 
% 174.25/27.50  | |   (19)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.25/27.50  | | 
% 174.25/27.50  | | REF_CLOSE: (1), (5), (6), (8), (12), (14), (19) are inconsistent by
% 174.25/27.50  | |            sub-proof #703.
% 174.25/27.50  | | 
% 174.25/27.50  | End of split
% 174.25/27.50  | 
% 174.25/27.50  End of proof
% 174.25/27.50  
% 174.25/27.50  Sub-proof #703 shows that the following formulas are inconsistent:
% 174.25/27.50  ----------------------------------------------------------------
% 174.25/27.50    (1)  all_56_12 = all_52_3
% 174.25/27.50    (2)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.25/27.50    (3)  all_56_2 = e0
% 174.25/27.50    (4)   ~ (all_52_2 = e1)
% 174.25/27.50    (5)   ~ (all_52_3 = e1)
% 174.25/27.50    (6)  all_56_6 = all_52_2
% 174.25/27.50    (7)   ~ (e1 = e0)
% 174.25/27.50  
% 174.25/27.50  Begin of proof
% 174.25/27.50  | 
% 174.25/27.50  | BETA: splitting (2) gives:
% 174.25/27.50  | 
% 174.25/27.50  | Case 1:
% 174.25/27.50  | | 
% 174.25/27.50  | |   (8)  all_56_2 = e1
% 174.25/27.50  | | 
% 174.25/27.50  | | COMBINE_EQS: (3), (8) imply:
% 174.25/27.50  | |   (9)  e1 = e0
% 174.25/27.50  | | 
% 174.25/27.50  | | REDUCE: (7), (9) imply:
% 174.25/27.50  | |   (10)  $false
% 174.25/27.50  | | 
% 174.25/27.50  | | CLOSE: (10) is inconsistent.
% 174.25/27.50  | | 
% 174.25/27.50  | Case 2:
% 174.25/27.50  | | 
% 174.25/27.50  | |   (11)  all_56_6 = e1 | all_56_12 = e1
% 174.25/27.50  | | 
% 174.25/27.50  | | REF_CLOSE: (1), (4), (5), (6), (11) are inconsistent by sub-proof #704.
% 174.25/27.50  | | 
% 174.25/27.50  | End of split
% 174.25/27.50  | 
% 174.25/27.50  End of proof
% 174.25/27.50  
% 174.25/27.50  Sub-proof #704 shows that the following formulas are inconsistent:
% 174.25/27.50  ----------------------------------------------------------------
% 174.25/27.50    (1)  all_56_12 = all_52_3
% 174.25/27.50    (2)   ~ (all_52_2 = e1)
% 174.25/27.50    (3)   ~ (all_52_3 = e1)
% 174.25/27.50    (4)  all_56_6 = all_52_2
% 174.25/27.50    (5)  all_56_6 = e1 | all_56_12 = e1
% 174.25/27.50  
% 174.25/27.50  Begin of proof
% 174.25/27.50  | 
% 174.25/27.50  | BETA: splitting (5) gives:
% 174.25/27.50  | 
% 174.25/27.50  | Case 1:
% 174.25/27.50  | | 
% 174.25/27.50  | |   (6)  all_56_6 = e1
% 174.25/27.50  | | 
% 174.25/27.50  | | COMBINE_EQS: (4), (6) imply:
% 174.25/27.50  | |   (7)  all_52_2 = e1
% 174.25/27.50  | | 
% 174.25/27.50  | | REDUCE: (2), (7) imply:
% 174.25/27.50  | |   (8)  $false
% 174.25/27.50  | | 
% 174.25/27.50  | | CLOSE: (8) is inconsistent.
% 174.25/27.50  | | 
% 174.25/27.50  | Case 2:
% 174.25/27.50  | | 
% 174.25/27.50  | |   (9)  all_56_12 = e1
% 174.25/27.50  | | 
% 174.25/27.50  | | COMBINE_EQS: (1), (9) imply:
% 174.25/27.50  | |   (10)  all_52_3 = e1
% 174.25/27.50  | | 
% 174.25/27.50  | | REDUCE: (3), (10) imply:
% 174.25/27.50  | |   (11)  $false
% 174.25/27.50  | | 
% 174.25/27.50  | | CLOSE: (11) is inconsistent.
% 174.25/27.50  | | 
% 174.25/27.50  | End of split
% 174.25/27.50  | 
% 174.25/27.50  End of proof
% 174.25/27.50  
% 174.25/27.50  Sub-proof #705 shows that the following formulas are inconsistent:
% 174.25/27.50  ----------------------------------------------------------------
% 174.25/27.50    (1)   ~ (e3 = e2)
% 174.25/27.50    (2)  all_58_16 = e2
% 174.25/27.50    (3)  all_58_17 = e0
% 174.25/27.50    (4)  all_58_16 = e3 | all_58_17 = e2
% 174.25/27.50    (5)   ~ (e2 = e0)
% 174.25/27.50  
% 174.25/27.50  Begin of proof
% 174.25/27.50  | 
% 174.25/27.50  | BETA: splitting (4) gives:
% 174.25/27.50  | 
% 174.25/27.50  | Case 1:
% 174.25/27.50  | | 
% 174.25/27.50  | |   (6)  all_58_17 = e2
% 174.25/27.50  | | 
% 174.25/27.50  | | COMBINE_EQS: (3), (6) imply:
% 174.25/27.50  | |   (7)  e2 = e0
% 174.25/27.50  | | 
% 174.25/27.50  | | REDUCE: (5), (7) imply:
% 174.25/27.50  | |   (8)  $false
% 174.25/27.50  | | 
% 174.25/27.50  | | CLOSE: (8) is inconsistent.
% 174.25/27.50  | | 
% 174.25/27.50  | Case 2:
% 174.25/27.50  | | 
% 174.25/27.50  | |   (9)  all_58_16 = e3
% 174.25/27.50  | | 
% 174.25/27.50  | | REF_CLOSE: (1), (2), (9) are inconsistent by sub-proof #964.
% 174.25/27.50  | | 
% 174.25/27.50  | End of split
% 174.25/27.50  | 
% 174.25/27.50  End of proof
% 174.25/27.50  
% 174.25/27.50  Sub-proof #706 shows that the following formulas are inconsistent:
% 174.25/27.50  ----------------------------------------------------------------
% 174.25/27.50    (1)   ~ (all_52_8 = all_52_12)
% 174.25/27.50    (2)  all_56_5 = all_52_9
% 174.25/27.50    (3)  op(e2, e3) = e0
% 174.25/27.50    (4)  all_54_6 = all_52_9
% 174.25/27.50    (5)  op(e2, e3) = all_6_1
% 174.25/27.50    (6)   ~ (all_52_9 = all_52_13)
% 174.25/27.50    (7)  all_58_28 = e3 | all_58_29 = e2
% 174.25/27.50    (8)   ~ (all_52_9 = e2)
% 174.25/27.50    (9)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 174.25/27.50    (10)   ~ (all_52_13 = e2)
% 174.25/27.50    (11)  all_58_29 = all_52_13
% 174.25/27.50    (12)  all_56_4 = all_52_8
% 174.25/27.50    (13)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 174.25/27.50    (14)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 174.25/27.50    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.25/27.50            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.25/27.50    (16)   ~ (all_6_1 = e0)
% 174.25/27.50    (17)  op(e2, all_52_9) = all_58_6
% 174.25/27.50    (18)  all_58_28 = all_52_12
% 174.25/27.50    (19)  all_54_7 = all_52_13
% 174.25/27.50    (20)   ~ (all_52_12 = all_52_13)
% 174.25/27.50  
% 174.25/27.50  Begin of proof
% 174.25/27.50  | 
% 174.25/27.50  | BETA: splitting (7) gives:
% 174.25/27.50  | 
% 174.25/27.50  | Case 1:
% 174.25/27.50  | | 
% 174.25/27.50  | |   (21)  all_58_29 = e2
% 174.25/27.50  | | 
% 174.25/27.50  | | COMBINE_EQS: (11), (21) imply:
% 174.25/27.50  | |   (22)  all_52_13 = e2
% 174.25/27.50  | | 
% 174.25/27.50  | | REDUCE: (10), (22) imply:
% 174.25/27.50  | |   (23)  $false
% 174.25/27.50  | | 
% 174.25/27.50  | | CLOSE: (23) is inconsistent.
% 174.25/27.50  | | 
% 174.25/27.50  | Case 2:
% 174.25/27.50  | | 
% 174.25/27.50  | |   (24)  all_58_28 = e3
% 174.25/27.50  | |   (25)   ~ (all_58_29 = e2)
% 174.25/27.50  | | 
% 174.25/27.50  | | COMBINE_EQS: (18), (24) imply:
% 174.25/27.50  | |   (26)  all_52_12 = e3
% 174.25/27.50  | | 
% 174.25/27.50  | | REDUCE: (1), (26) imply:
% 174.25/27.50  | |   (27)   ~ (all_52_8 = e3)
% 174.25/27.50  | | 
% 174.25/27.50  | | REDUCE: (20), (26) imply:
% 174.25/27.50  | |   (28)   ~ (all_52_13 = e3)
% 174.25/27.50  | | 
% 174.25/27.50  | | SIMP: (28) implies:
% 174.25/27.50  | |   (29)   ~ (all_52_13 = e3)
% 174.25/27.50  | | 
% 174.25/27.50  | | BETA: splitting (13) gives:
% 174.25/27.50  | | 
% 174.25/27.50  | | Case 1:
% 174.25/27.50  | | | 
% 174.25/27.50  | | |   (30)  all_56_4 = e3
% 174.25/27.50  | | | 
% 174.25/27.50  | | | COMBINE_EQS: (12), (30) imply:
% 174.25/27.50  | | |   (31)  all_52_8 = e3
% 174.25/27.50  | | | 
% 174.25/27.50  | | | REDUCE: (27), (31) imply:
% 174.25/27.50  | | |   (32)  $false
% 174.25/27.50  | | | 
% 174.25/27.50  | | | CLOSE: (32) is inconsistent.
% 174.25/27.50  | | | 
% 174.25/27.50  | | Case 2:
% 174.25/27.50  | | | 
% 174.25/27.50  | | |   (33)  all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 174.25/27.50  | | | 
% 174.25/27.50  | | | BETA: splitting (33) gives:
% 174.25/27.50  | | | 
% 174.25/27.50  | | | Case 1:
% 174.25/27.50  | | | | 
% 174.25/27.50  | | | |   (34)  all_56_5 = e3
% 174.25/27.50  | | | | 
% 174.25/27.50  | | | | COMBINE_EQS: (2), (34) imply:
% 174.25/27.50  | | | |   (35)  all_52_9 = e3
% 174.25/27.50  | | | | 
% 174.25/27.50  | | | | REDUCE: (17), (35) imply:
% 174.25/27.50  | | | |   (36)  op(e2, e3) = all_58_6
% 174.25/27.50  | | | | 
% 174.25/27.50  | | | | REF_CLOSE: (3), (5), (15), (16), (36) are inconsistent by sub-proof
% 174.25/27.50  | | | |            #713.
% 174.25/27.50  | | | | 
% 174.25/27.50  | | | Case 2:
% 174.25/27.50  | | | | 
% 174.25/27.50  | | | |   (37)   ~ (all_56_5 = e3)
% 174.25/27.50  | | | | 
% 174.25/27.50  | | | | REF_CLOSE: (2), (4), (6), (8), (9), (10), (14), (19), (29), (37) are
% 174.25/27.50  | | | |            inconsistent by sub-proof #707.
% 174.25/27.50  | | | | 
% 174.25/27.50  | | | End of split
% 174.25/27.50  | | | 
% 174.25/27.50  | | End of split
% 174.25/27.50  | | 
% 174.25/27.50  | End of split
% 174.25/27.50  | 
% 174.25/27.50  End of proof
% 174.25/27.50  
% 174.25/27.50  Sub-proof #707 shows that the following formulas are inconsistent:
% 174.25/27.50  ----------------------------------------------------------------
% 174.25/27.50    (1)  all_56_5 = all_52_9
% 174.25/27.50    (2)  all_54_6 = all_52_9
% 174.25/27.50    (3)   ~ (all_56_5 = e3)
% 174.25/27.50    (4)   ~ (all_52_9 = all_52_13)
% 174.25/27.50    (5)   ~ (all_52_9 = e2)
% 174.25/27.50    (6)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 174.25/27.50    (7)   ~ (all_52_13 = e2)
% 174.25/27.50    (8)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 174.25/27.50    (9)  all_54_7 = all_52_13
% 174.25/27.50    (10)   ~ (all_52_13 = e3)
% 174.25/27.50  
% 174.25/27.50  Begin of proof
% 174.25/27.50  | 
% 174.25/27.50  | REDUCE: (1), (3) imply:
% 174.25/27.50  |   (11)   ~ (all_52_9 = e3)
% 174.25/27.50  | 
% 174.25/27.50  | BETA: splitting (8) gives:
% 174.25/27.50  | 
% 174.25/27.50  | Case 1:
% 174.25/27.50  | | 
% 174.25/27.50  | |   (12)  all_54_6 = e1
% 174.25/27.50  | | 
% 174.25/27.50  | | COMBINE_EQS: (2), (12) imply:
% 174.25/27.50  | |   (13)  all_52_9 = e1
% 174.25/27.50  | | 
% 174.25/27.50  | | SIMP: (13) implies:
% 174.25/27.50  | |   (14)  all_52_9 = e1
% 174.25/27.50  | | 
% 174.25/27.50  | | REDUCE: (4), (14) imply:
% 174.25/27.50  | |   (15)   ~ (all_52_13 = e1)
% 174.25/27.50  | | 
% 174.25/27.50  | | SIMP: (15) implies:
% 174.25/27.50  | |   (16)   ~ (all_52_13 = e1)
% 174.25/27.50  | | 
% 174.25/27.50  | | REF_CLOSE: (6), (7), (9), (10), (16) are inconsistent by sub-proof #708.
% 174.25/27.50  | | 
% 174.25/27.50  | Case 2:
% 174.25/27.50  | | 
% 174.25/27.50  | |   (17)  all_54_6 = e3 | all_54_6 = e2
% 174.25/27.50  | | 
% 174.25/27.50  | | REF_CLOSE: (2), (5), (11), (17) are inconsistent by sub-proof #884.
% 174.25/27.50  | | 
% 174.25/27.50  | End of split
% 174.25/27.50  | 
% 174.25/27.50  End of proof
% 174.25/27.50  
% 174.25/27.50  Sub-proof #708 shows that the following formulas are inconsistent:
% 174.25/27.50  ----------------------------------------------------------------
% 174.25/27.50    (1)   ~ (all_52_13 = e1)
% 174.25/27.50    (2)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1
% 174.25/27.50    (3)   ~ (all_52_13 = e2)
% 174.25/27.50    (4)  all_54_7 = all_52_13
% 174.25/27.50    (5)   ~ (all_52_13 = e3)
% 174.25/27.50  
% 174.25/27.50  Begin of proof
% 174.25/27.50  | 
% 174.25/27.50  | BETA: splitting (2) gives:
% 174.25/27.50  | 
% 174.25/27.50  | Case 1:
% 174.25/27.50  | | 
% 174.25/27.50  | |   (6)  all_54_7 = e1
% 174.25/27.50  | | 
% 174.25/27.50  | | REF_CLOSE: (1), (4), (6) are inconsistent by sub-proof #712.
% 174.25/27.50  | | 
% 174.25/27.50  | Case 2:
% 174.25/27.50  | | 
% 174.25/27.50  | |   (7)  all_54_7 = e3 | all_54_7 = e2
% 174.25/27.50  | | 
% 174.25/27.50  | | REF_CLOSE: (3), (4), (5), (7) are inconsistent by sub-proof #709.
% 174.25/27.50  | | 
% 174.25/27.50  | End of split
% 174.25/27.50  | 
% 174.25/27.50  End of proof
% 174.25/27.50  
% 174.25/27.50  Sub-proof #709 shows that the following formulas are inconsistent:
% 174.25/27.50  ----------------------------------------------------------------
% 174.25/27.50    (1)  all_54_7 = e3 | all_54_7 = e2
% 174.25/27.50    (2)  all_54_7 = all_52_13
% 174.25/27.50    (3)   ~ (all_52_13 = e2)
% 174.25/27.50    (4)   ~ (all_52_13 = e3)
% 174.25/27.50  
% 174.25/27.50  Begin of proof
% 174.25/27.50  | 
% 174.25/27.50  | BETA: splitting (1) gives:
% 174.25/27.50  | 
% 174.25/27.50  | Case 1:
% 174.25/27.50  | | 
% 174.25/27.50  | |   (5)  all_54_7 = e2
% 174.25/27.50  | | 
% 174.25/27.50  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #711.
% 174.25/27.50  | | 
% 174.25/27.50  | Case 2:
% 174.25/27.50  | | 
% 174.25/27.50  | |   (6)  all_54_7 = e3
% 174.25/27.50  | | 
% 174.25/27.50  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #710.
% 174.25/27.50  | | 
% 174.25/27.50  | End of split
% 174.25/27.50  | 
% 174.25/27.50  End of proof
% 174.25/27.50  
% 174.25/27.50  Sub-proof #710 shows that the following formulas are inconsistent:
% 174.25/27.50  ----------------------------------------------------------------
% 174.25/27.50    (1)  all_54_7 = all_52_13
% 174.25/27.50    (2)  all_54_7 = e3
% 174.25/27.50    (3)   ~ (all_52_13 = e3)
% 174.25/27.50  
% 174.25/27.50  Begin of proof
% 174.25/27.50  | 
% 174.25/27.50  | COMBINE_EQS: (1), (2) imply:
% 174.25/27.50  |   (4)  all_52_13 = e3
% 174.25/27.50  | 
% 174.25/27.50  | SIMP: (4) implies:
% 174.25/27.50  |   (5)  all_52_13 = e3
% 174.25/27.50  | 
% 174.25/27.50  | REDUCE: (3), (5) imply:
% 174.25/27.50  |   (6)  $false
% 174.25/27.50  | 
% 174.25/27.50  | CLOSE: (6) is inconsistent.
% 174.25/27.50  | 
% 174.25/27.50  End of proof
% 174.25/27.50  
% 174.25/27.50  Sub-proof #711 shows that the following formulas are inconsistent:
% 174.25/27.50  ----------------------------------------------------------------
% 174.25/27.50    (1)  all_54_7 = all_52_13
% 174.25/27.50    (2)  all_54_7 = e2
% 174.25/27.50    (3)   ~ (all_52_13 = e2)
% 174.25/27.50  
% 174.25/27.50  Begin of proof
% 174.25/27.50  | 
% 174.25/27.50  | COMBINE_EQS: (1), (2) imply:
% 174.25/27.50  |   (4)  all_52_13 = e2
% 174.25/27.50  | 
% 174.25/27.50  | SIMP: (4) implies:
% 174.25/27.50  |   (5)  all_52_13 = e2
% 174.25/27.50  | 
% 174.25/27.50  | REDUCE: (3), (5) imply:
% 174.25/27.50  |   (6)  $false
% 174.25/27.50  | 
% 174.25/27.50  | CLOSE: (6) is inconsistent.
% 174.25/27.50  | 
% 174.25/27.50  End of proof
% 174.25/27.50  
% 174.25/27.50  Sub-proof #712 shows that the following formulas are inconsistent:
% 174.25/27.50  ----------------------------------------------------------------
% 174.25/27.50    (1)  all_54_7 = all_52_13
% 174.25/27.50    (2)  all_54_7 = e1
% 174.25/27.50    (3)   ~ (all_52_13 = e1)
% 174.25/27.50  
% 174.25/27.50  Begin of proof
% 174.25/27.50  | 
% 174.25/27.50  | COMBINE_EQS: (1), (2) imply:
% 174.25/27.50  |   (4)  all_52_13 = e1
% 174.25/27.50  | 
% 174.25/27.50  | SIMP: (4) implies:
% 174.25/27.50  |   (5)  all_52_13 = e1
% 174.25/27.50  | 
% 174.25/27.50  | REDUCE: (3), (5) imply:
% 174.25/27.50  |   (6)  $false
% 174.25/27.50  | 
% 174.25/27.50  | CLOSE: (6) is inconsistent.
% 174.25/27.50  | 
% 174.25/27.50  End of proof
% 174.25/27.50  
% 174.25/27.50  Sub-proof #713 shows that the following formulas are inconsistent:
% 174.25/27.50  ----------------------------------------------------------------
% 174.25/27.50    (1)  op(e2, e3) = e0
% 174.25/27.50    (2)  op(e2, e3) = all_58_6
% 174.25/27.50    (3)  op(e2, e3) = all_6_1
% 174.25/27.50    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.25/27.50           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.25/27.50    (5)   ~ (all_6_1 = e0)
% 174.25/27.50  
% 174.25/27.50  Begin of proof
% 174.25/27.50  | 
% 174.25/27.50  | GROUND_INST: instantiating (4) with e0, all_58_6, e3, e2, simplifying with
% 174.25/27.50  |              (1), (2) gives:
% 174.25/27.50  |   (6)  all_58_6 = e0
% 174.25/27.50  | 
% 174.25/27.50  | GROUND_INST: instantiating (4) with all_6_1, all_58_6, e3, e2, simplifying
% 174.25/27.50  |              with (2), (3) gives:
% 174.25/27.50  |   (7)  all_58_6 = all_6_1
% 174.25/27.50  | 
% 174.25/27.50  | COMBINE_EQS: (6), (7) imply:
% 174.25/27.50  |   (8)  all_6_1 = e0
% 174.25/27.50  | 
% 174.25/27.50  | REDUCE: (5), (8) imply:
% 174.25/27.50  |   (9)  $false
% 174.25/27.50  | 
% 174.25/27.50  | CLOSE: (9) is inconsistent.
% 174.25/27.50  | 
% 174.25/27.50  End of proof
% 174.25/27.50  
% 174.25/27.50  Sub-proof #714 shows that the following formulas are inconsistent:
% 174.25/27.50  ----------------------------------------------------------------
% 174.25/27.50    (1)  all_54_7 = all_52_13
% 174.25/27.50    (2)  all_54_7 = e0
% 174.25/27.50    (3)   ~ (all_52_13 = e0)
% 174.25/27.50  
% 174.25/27.50  Begin of proof
% 174.25/27.50  | 
% 174.25/27.50  | COMBINE_EQS: (1), (2) imply:
% 174.25/27.50  |   (4)  all_52_13 = e0
% 174.25/27.50  | 
% 174.25/27.50  | SIMP: (4) implies:
% 174.25/27.50  |   (5)  all_52_13 = e0
% 174.25/27.50  | 
% 174.25/27.50  | REDUCE: (3), (5) imply:
% 174.25/27.50  |   (6)  $false
% 174.25/27.50  | 
% 174.25/27.50  | CLOSE: (6) is inconsistent.
% 174.25/27.50  | 
% 174.25/27.50  End of proof
% 174.25/27.50  
% 174.25/27.50  Sub-proof #715 shows that the following formulas are inconsistent:
% 174.25/27.50  ----------------------------------------------------------------
% 174.25/27.50    (1)   ~ (all_52_12 = all_14_2)
% 174.25/27.50    (2)  all_54_8 = all_52_2
% 174.25/27.50    (3)  all_56_1 = all_52_4
% 174.25/27.50    (4)   ~ (all_6_0 = e0)
% 174.25/27.50    (5)  all_56_12 = all_52_3
% 174.25/27.50    (6)  op(e1, e3) = all_52_2
% 174.25/27.50    (7)   ~ (all_10_2 = e0)
% 174.25/27.50    (8)   ~ (all_52_8 = all_52_12)
% 174.25/27.50    (9)   ~ (e3 = e1)
% 174.25/27.50    (10)  all_58_23 = all_52_7
% 174.25/27.50    (11)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 174.25/27.50    (12)   ~ (all_52_2 = all_6_2)
% 174.25/27.50    (13)   ~ (all_52_4 = all_4_2)
% 174.25/27.50    (14)  all_54_3 = all_52_12
% 174.25/27.50    (15)  all_56_5 = all_52_9
% 174.25/27.50    (16)   ~ (all_52_3 = all_52_11)
% 174.25/27.50    (17)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 174.25/27.50    (18)  op(all_6_2, e3) = all_6_1
% 174.25/27.50    (19)   ~ (all_52_12 = all_6_2)
% 174.25/27.50    (20)   ~ (all_52_6 = all_4_2)
% 174.25/27.50    (21)  all_56_15 = all_14_2
% 174.25/27.50    (22)   ~ (all_52_11 = all_14_2)
% 174.25/27.50    (23)  all_54_1 = all_52_4
% 174.25/27.50    (24)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 174.25/27.50    (25)   ~ (all_52_9 = all_4_2)
% 174.25/27.50    (26)   ~ (all_52_3 = all_52_7)
% 174.25/27.50    (27)  all_56_14 = all_52_11
% 174.25/27.50    (28)   ~ (all_52_13 = all_4_2)
% 174.25/27.51    (29)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 174.25/27.51    (30)  all_56_8 = all_10_2
% 174.25/27.51    (31)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.25/27.51    (32)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 174.25/27.51    (33)  all_58_26 = all_10_2
% 174.25/27.51    (34)   ~ (all_52_4 = all_52_6)
% 174.25/27.51    (35)  all_58_31 = all_14_2
% 174.25/27.51    (36)   ~ (all_52_11 = all_10_2)
% 174.25/27.51    (37)   ~ (all_52_9 = all_52_13)
% 174.25/27.51    (38)   ~ (all_52_3 = all_6_2)
% 174.25/27.51    (39)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 174.25/27.51    (40)  op(all_6_1, all_6_2) = all_6_0
% 174.25/27.51    (41)   ~ (all_52_1 = all_6_2)
% 174.25/27.51    (42)  all_54_2 = all_52_8
% 174.25/27.51    (43)  all_56_11 = all_52_14
% 174.25/27.51    (44)  op(e2, e1) = all_52_9
% 174.25/27.51    (45)   ~ (all_52_6 = all_52_7)
% 174.25/27.51    (46)  all_56_0 = all_6_2
% 174.25/27.51    (47)   ~ (all_52_9 = all_10_2)
% 174.25/27.51    (48)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.25/27.51    (49)  all_58_30 = all_52_14
% 174.25/27.51    (50)  all_58_27 = all_52_11
% 174.25/27.51    (51)  all_54_14 = all_52_11
% 174.25/27.51    (52)  all_58_17 = all_52_1
% 174.25/27.51    (53)  all_58_19 = all_52_3
% 174.25/27.51    (54)  all_56_9 = all_52_12
% 174.25/27.51    (55)   ~ (all_52_2 = all_52_6)
% 174.25/27.51    (56)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 174.25/27.51    (57)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 174.25/27.51    (58)   ~ (e3 = e2)
% 174.25/27.51    (59)   ~ (all_52_4 = all_52_7)
% 174.25/27.51    (60)   ~ (e2 = e1)
% 174.25/27.51    (61)   ~ (all_52_6 = all_10_2)
% 174.25/27.51    (62)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 174.25/27.51    (63)   ~ (all_52_2 = e0)
% 174.25/27.51    (64)   ~ (all_52_7 = all_14_2)
% 174.25/27.51    (65)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.25/27.51    (66)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.25/27.51    (67)   ~ (all_52_13 = all_14_2)
% 174.25/27.51    (68)   ~ (all_52_1 = all_4_2)
% 174.25/27.51    (69)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.25/27.51    (70)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 174.25/27.51    (71)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.25/27.51    (72)   ~ (all_52_13 = all_52_14)
% 174.25/27.51    (73)  op(e2, e3) = all_52_1
% 174.25/27.51    (74)  all_58_18 = all_52_2
% 174.25/27.51    (75)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.25/27.51    (76)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 174.25/27.51    (77)  all_58_16 = all_6_2
% 174.25/27.51    (78)  all_56_13 = all_52_7
% 174.25/27.51    (79)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 174.25/27.51    (80)   ~ (all_52_8 = all_52_9)
% 174.25/27.51    (81)   ~ (all_52_4 = all_6_2)
% 174.25/27.51    (82)  all_56_2 = all_52_1
% 174.25/27.51    (83)   ~ (e3 = e0)
% 174.25/27.51    (84)  all_58_29 = all_52_13
% 174.25/27.51    (85)   ~ (all_52_1 = all_52_2)
% 174.25/27.51    (86)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 174.25/27.51    (87)   ~ (all_4_2 = e0)
% 174.25/27.51    (88)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 174.25/27.51    (89)   ~ (all_52_6 = all_52_14)
% 174.25/27.51    (90)   ~ (all_52_7 = all_4_2)
% 174.25/27.51    (91)   ~ (all_52_8 = all_10_2)
% 174.25/27.51    (92)  all_56_4 = all_52_8
% 174.25/27.51    (93)   ~ (all_52_1 = all_52_13)
% 174.25/27.51    (94)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 174.25/27.51    (95)  all_58_20 = all_52_4
% 174.25/27.51    (96)  all_54_13 = all_52_7
% 174.25/27.51    (97)  all_54_15 = all_14_2
% 174.25/27.51    (98)   ~ (all_52_7 = all_52_11)
% 174.25/27.51    (99)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 174.25/27.51    (100)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.25/27.51    (101)   ~ (all_52_8 = all_52_11)
% 174.25/27.51    (102)   ~ (all_52_8 = all_6_2)
% 174.25/27.51    (103)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 174.25/27.51    (104)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 174.25/27.51    (105)  all_56_6 = all_52_2
% 174.25/27.51    (106)   ~ (all_52_1 = all_52_9)
% 174.25/27.51    (107)  all_58_24 = all_52_8
% 174.25/27.51    (108)   ~ (all_52_12 = all_52_14)
% 174.25/27.51    (109)   ~ (all_52_9 = all_52_11)
% 174.25/27.51    (110)  all_58_22 = all_52_6
% 174.25/27.51    (111)   ~ (all_52_4 = all_52_12)
% 174.25/27.51    (112)  all_56_3 = all_4_2
% 174.25/27.51    (113)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 174.25/27.51    (114)  all_54_0 = all_6_2
% 174.25/27.51    (115)   ~ (all_52_14 = all_10_2)
% 174.25/27.51    (116)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 174.25/27.51    (117)   ~ (all_52_1 = e0)
% 174.25/27.51    (118)   ~ (all_52_4 = all_52_8)
% 174.25/27.51    (119)   ~ (all_52_14 = all_14_2)
% 174.25/27.51    (120)  all_58_25 = all_52_9
% 174.25/27.51    (121)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.25/27.51             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.25/27.51    (122)   ~ (all_6_1 = e0)
% 174.25/27.51    (123)   ~ (all_52_2 = all_52_14)
% 174.25/27.51    (124)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 174.25/27.51    (125)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 174.25/27.51    (126)  all_58_21 = all_4_2
% 174.25/27.51    (127)  all_56_10 = all_52_13
% 174.25/27.51    (128)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 174.25/27.51    (129)   ~ (e2 = e0)
% 174.25/27.51    (130)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 174.25/27.51    (131)  all_58_28 = all_52_12
% 174.25/27.51    (132)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 174.25/27.51    (133)   ~ (e1 = e0)
% 174.25/27.51    (134)  all_54_4 = all_52_1
% 174.25/27.51    (135)  all_56_7 = all_52_6
% 174.25/27.51    (136)  all_54_5 = all_4_2
% 174.25/27.51    (137)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 174.25/27.51    (138)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 174.25/27.51    (139)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 174.25/27.51           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 174.25/27.51           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.25/27.51           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 174.25/27.51           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.25/27.51           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.25/27.51           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.25/27.51           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 174.25/27.51           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.25/27.51           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 174.25/27.51             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 174.25/27.51             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 174.25/27.51             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 174.25/27.51             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 174.25/27.51             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 174.25/27.51             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 174.25/27.51             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 174.25/27.51             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 174.25/27.51             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 174.25/27.51             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 174.25/27.51             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 174.25/27.51             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 174.25/27.51             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 174.25/27.51             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 174.25/27.51             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 174.25/27.51             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.25/27.51           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.25/27.51           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.25/27.51           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 174.25/27.51             all_58_30 = e0 & e1 = e0)
% 174.25/27.51    (140)   ~ (all_52_2 = all_10_2)
% 174.25/27.51    (141)  op(e1, e2) = all_52_6
% 174.25/27.51    (142)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.25/27.51    (143)   ~ (all_52_12 = all_52_13)
% 174.25/27.51  
% 174.25/27.51  Begin of proof
% 174.25/27.51  | 
% 174.25/27.51  | BETA: splitting (11) gives:
% 174.25/27.51  | 
% 174.25/27.51  | Case 1:
% 174.25/27.51  | | 
% 174.25/27.51  | |   (144)  all_56_2 = e0
% 174.25/27.51  | | 
% 174.25/27.51  | | COMBINE_EQS: (82), (144) imply:
% 174.25/27.51  | |   (145)  all_52_1 = e0
% 174.25/27.51  | | 
% 174.25/27.51  | | REDUCE: (117), (145) imply:
% 174.25/27.51  | |   (146)  $false
% 174.25/27.51  | | 
% 174.25/27.51  | | CLOSE: (146) is inconsistent.
% 174.25/27.51  | | 
% 174.25/27.51  | Case 2:
% 174.25/27.51  | | 
% 174.25/27.51  | |   (147)  all_56_6 = e0 | all_56_12 = e0
% 174.25/27.51  | | 
% 174.25/27.51  | | BETA: splitting (147) gives:
% 174.25/27.51  | | 
% 174.25/27.51  | | Case 1:
% 174.25/27.51  | | | 
% 174.25/27.51  | | |   (148)  all_56_6 = e0
% 174.25/27.51  | | | 
% 174.25/27.51  | | | COMBINE_EQS: (105), (148) imply:
% 174.25/27.51  | | |   (149)  all_52_2 = e0
% 174.25/27.51  | | | 
% 174.25/27.51  | | | REDUCE: (63), (149) imply:
% 174.25/27.51  | | |   (150)  $false
% 174.25/27.51  | | | 
% 174.25/27.51  | | | CLOSE: (150) is inconsistent.
% 174.25/27.51  | | | 
% 174.25/27.51  | | Case 2:
% 174.25/27.51  | | | 
% 174.25/27.51  | | |   (151)  all_56_12 = e0
% 174.25/27.51  | | | 
% 174.25/27.51  | | | COMBINE_EQS: (5), (151) imply:
% 174.25/27.51  | | |   (152)  all_52_3 = e0
% 174.25/27.51  | | | 
% 174.25/27.51  | | | SIMP: (152) implies:
% 174.25/27.51  | | |   (153)  all_52_3 = e0
% 174.25/27.51  | | | 
% 174.25/27.51  | | | COMBINE_EQS: (53), (153) imply:
% 174.25/27.51  | | |   (154)  all_58_19 = e0
% 174.25/27.51  | | | 
% 174.25/27.51  | | | REDUCE: (26), (153) imply:
% 174.25/27.51  | | |   (155)   ~ (all_52_7 = e0)
% 174.25/27.51  | | | 
% 174.25/27.51  | | | SIMP: (155) implies:
% 174.25/27.51  | | |   (156)   ~ (all_52_7 = e0)
% 174.25/27.51  | | | 
% 174.25/27.51  | | | REDUCE: (16), (153) imply:
% 174.25/27.51  | | |   (157)   ~ (all_52_11 = e0)
% 174.25/27.51  | | | 
% 174.25/27.51  | | | SIMP: (157) implies:
% 174.25/27.51  | | |   (158)   ~ (all_52_11 = e0)
% 174.25/27.51  | | | 
% 174.25/27.51  | | | REDUCE: (38), (153) imply:
% 174.25/27.51  | | |   (159)   ~ (all_6_2 = e0)
% 174.25/27.51  | | | 
% 174.25/27.51  | | | SIMP: (159) implies:
% 174.25/27.51  | | |   (160)   ~ (all_6_2 = e0)
% 174.25/27.51  | | | 
% 174.25/27.51  | | | BETA: splitting (79) gives:
% 174.25/27.51  | | | 
% 174.25/27.51  | | | Case 1:
% 174.25/27.51  | | | | 
% 174.25/27.51  | | | |   (161)  all_56_4 = e0
% 174.25/27.51  | | | | 
% 174.25/27.51  | | | | COMBINE_EQS: (92), (161) imply:
% 174.25/27.51  | | | |   (162)  all_52_8 = e0
% 174.25/27.51  | | | | 
% 174.25/27.51  | | | | COMBINE_EQS: (107), (162) imply:
% 174.25/27.51  | | | |   (163)  all_58_24 = e0
% 174.25/27.51  | | | | 
% 174.25/27.51  | | | | REDUCE: (80), (162) imply:
% 174.25/27.51  | | | |   (164)   ~ (all_52_9 = e0)
% 174.25/27.51  | | | | 
% 174.25/27.51  | | | | SIMP: (164) implies:
% 174.25/27.51  | | | |   (165)   ~ (all_52_9 = e0)
% 174.25/27.51  | | | | 
% 174.25/27.51  | | | | REDUCE: (91), (162) imply:
% 174.25/27.51  | | | |   (166)   ~ (all_10_2 = e0)
% 174.25/27.51  | | | | 
% 174.25/27.51  | | | | BETA: splitting (17) gives:
% 174.25/27.51  | | | | 
% 174.25/27.51  | | | | Case 1:
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | |   (167)  all_56_3 = e0
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | | COMBINE_EQS: (112), (167) imply:
% 174.25/27.51  | | | | |   (168)  all_4_2 = e0
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | | REDUCE: (87), (168) imply:
% 174.25/27.51  | | | | |   (169)  $false
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | | CLOSE: (169) is inconsistent.
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | Case 2:
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | |   (170)  all_56_5 = e0 | all_56_10 = e0
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | | BETA: splitting (170) gives:
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | | Case 1:
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | |   (171)  all_56_5 = e0
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | | COMBINE_EQS: (15), (171) imply:
% 174.25/27.51  | | | | | |   (172)  all_52_9 = e0
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | | REDUCE: (165), (172) imply:
% 174.25/27.51  | | | | | |   (173)  $false
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | | CLOSE: (173) is inconsistent.
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | Case 2:
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | |   (174)  all_56_10 = e0
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | | COMBINE_EQS: (127), (174) imply:
% 174.25/27.51  | | | | | |   (175)  all_52_13 = e0
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | | SIMP: (175) implies:
% 174.25/27.51  | | | | | |   (176)  all_52_13 = e0
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | | COMBINE_EQS: (84), (176) imply:
% 174.25/27.51  | | | | | |   (177)  all_58_29 = e0
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | | REDUCE: (143), (176) imply:
% 174.25/27.51  | | | | | |   (178)   ~ (all_52_12 = e0)
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | | REDUCE: (72), (176) imply:
% 174.25/27.51  | | | | | |   (179)   ~ (all_52_14 = e0)
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | | SIMP: (179) implies:
% 174.25/27.51  | | | | | |   (180)   ~ (all_52_14 = e0)
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | | REDUCE: (67), (176) imply:
% 174.25/27.51  | | | | | |   (181)   ~ (all_14_2 = e0)
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | | SIMP: (181) implies:
% 174.25/27.51  | | | | | |   (182)   ~ (all_14_2 = e0)
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | | REF_CLOSE: (2), (3), (4), (6), (7), (9), (10), (12), (13), (15),
% 174.25/27.51  | | | | | |            (18), (19), (20), (23), (25), (27), (29), (30), (31),
% 174.25/27.51  | | | | | |            (32), (33), (34), (35), (36), (39), (40), (41), (43),
% 174.25/27.51  | | | | | |            (44), (45), (46), (47), (48), (49), (50), (51), (54),
% 174.25/27.51  | | | | | |            (56), (57), (58), (59), (60), (61), (65), (66), (68),
% 174.25/27.51  | | | | | |            (69), (70), (73), (74), (75), (77), (78), (81), (82),
% 174.25/27.51  | | | | | |            (83), (85), (86), (89), (90), (92), (94), (95), (96),
% 174.25/27.51  | | | | | |            (98), (100), (103), (105), (106), (107), (110), (111),
% 174.25/27.51  | | | | | |            (112), (114), (115), (117), (120), (121), (122), (123),
% 174.25/27.51  | | | | | |            (125), (126), (128), (129), (130), (131), (132), (133),
% 174.25/27.51  | | | | | |            (134), (135), (136), (138), (139), (140), (141), (151),
% 174.25/27.51  | | | | | |            (154), (158), (160), (161), (163), (174), (177), (178),
% 174.25/27.51  | | | | | |            (180), (182) are inconsistent by sub-proof #764.
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | End of split
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | End of split
% 174.25/27.51  | | | | 
% 174.25/27.51  | | | Case 2:
% 174.25/27.51  | | | | 
% 174.25/27.51  | | | |   (183)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 174.25/27.51  | | | | 
% 174.25/27.51  | | | | BETA: splitting (183) gives:
% 174.25/27.51  | | | | 
% 174.25/27.51  | | | | Case 1:
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | |   (184)  all_56_5 = e0
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | | COMBINE_EQS: (15), (184) imply:
% 174.25/27.51  | | | | |   (185)  all_52_9 = e0
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | | COMBINE_EQS: (120), (185) imply:
% 174.25/27.51  | | | | |   (186)  all_58_25 = e0
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | | REDUCE: (80), (185) imply:
% 174.25/27.51  | | | | |   (187)   ~ (all_52_8 = e0)
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | | REDUCE: (37), (185) imply:
% 174.25/27.51  | | | | |   (188)   ~ (all_52_13 = e0)
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | | SIMP: (188) implies:
% 174.25/27.51  | | | | |   (189)   ~ (all_52_13 = e0)
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | | REDUCE: (25), (185) imply:
% 174.25/27.51  | | | | |   (190)   ~ (all_4_2 = e0)
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | | REDUCE: (44), (185) imply:
% 174.25/27.51  | | | | |   (191)  op(e2, e1) = e0
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | | BETA: splitting (76) gives:
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | | Case 1:
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | |   (192)  all_56_1 = e0
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | | COMBINE_EQS: (3), (192) imply:
% 174.25/27.51  | | | | | |   (193)  all_52_4 = e0
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | | COMBINE_EQS: (95), (193) imply:
% 174.25/27.51  | | | | | |   (194)  all_58_20 = e0
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | | REDUCE: (118), (193) imply:
% 174.25/27.51  | | | | | |   (195)   ~ (all_52_8 = e0)
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | | REDUCE: (111), (193) imply:
% 174.25/27.51  | | | | | |   (196)   ~ (all_52_12 = e0)
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | | SIMP: (196) implies:
% 174.25/27.51  | | | | | |   (197)   ~ (all_52_12 = e0)
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | | REF_CLOSE: (1), (4), (6), (8), (9), (10), (14), (18), (19), (20),
% 174.25/27.51  | | | | | |            (21), (22), (24), (27), (28), (30), (31), (33), (35),
% 174.25/27.51  | | | | | |            (36), (40), (42), (43), (45), (46), (48), (49), (50),
% 174.25/27.51  | | | | | |            (52), (54), (55), (61), (62), (64), (65), (66), (67),
% 174.25/27.51  | | | | | |            (69), (72), (77), (78), (82), (83), (84), (86), (87),
% 174.25/27.51  | | | | | |            (88), (89), (91), (92), (94), (95), (97), (99), (100),
% 174.25/27.51  | | | | | |            (101), (102), (105), (107), (108), (110), (112), (113),
% 174.25/27.51  | | | | | |            (114), (116), (118), (119), (121), (124), (126), (127),
% 174.25/27.51  | | | | | |            (129), (131), (133), (135), (137), (139), (143), (151),
% 174.25/27.51  | | | | | |            (154), (156), (158), (160), (186), (187), (189), (191),
% 174.25/27.51  | | | | | |            (192), (194), (197) are inconsistent by sub-proof #736.
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | Case 2:
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | |   (198)   ~ (all_56_1 = e0)
% 174.25/27.51  | | | | | |   (199)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | | REDUCE: (3), (198) imply:
% 174.25/27.51  | | | | | |   (200)   ~ (all_52_4 = e0)
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (9), (10), (12), (13),
% 174.25/27.51  | | | | | |            (18), (19), (20), (21), (23), (29), (31), (32), (33),
% 174.25/27.51  | | | | | |            (34), (35), (36), (40), (41), (43), (45), (46), (48),
% 174.25/27.51  | | | | | |            (49), (50), (51), (54), (56), (58), (60), (64), (65),
% 174.25/27.51  | | | | | |            (66), (68), (69), (70), (71), (72), (73), (75), (78),
% 174.25/27.51  | | | | | |            (81), (82), (83), (84), (85), (87), (88), (89), (90),
% 174.25/27.51  | | | | | |            (92), (93), (95), (96), (98), (100), (101), (102), (104),
% 174.25/27.51  | | | | | |            (105), (107), (110), (112), (114), (115), (117), (118),
% 174.25/27.51  | | | | | |            (121), (126), (127), (128), (129), (130), (131), (133),
% 174.25/27.51  | | | | | |            (135), (140), (141), (142), (151), (156), (158), (160),
% 174.25/27.51  | | | | | |            (184), (186), (187), (191), (199), (200) are inconsistent
% 174.25/27.51  | | | | | |            by sub-proof #716.
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | End of split
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | Case 2:
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | |   (201)  all_56_8 = e0 | all_56_14 = e0
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | | REF_CLOSE: (7), (27), (30), (158), (201) are inconsistent by sub-proof
% 174.25/27.51  | | | | |            #914.
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | End of split
% 174.25/27.51  | | | | 
% 174.25/27.51  | | | End of split
% 174.25/27.51  | | | 
% 174.25/27.51  | | End of split
% 174.25/27.51  | | 
% 174.25/27.51  | End of split
% 174.25/27.51  | 
% 174.25/27.51  End of proof
% 174.25/27.51  
% 174.25/27.51  Sub-proof #716 shows that the following formulas are inconsistent:
% 174.25/27.51  ----------------------------------------------------------------
% 174.25/27.51    (1)   ~ (all_52_12 = all_14_2)
% 174.25/27.51    (2)  all_54_8 = all_52_2
% 174.25/27.51    (3)  all_56_1 = all_52_4
% 174.25/27.51    (4)   ~ (all_6_0 = e0)
% 174.25/27.51    (5)  op(e1, e3) = all_52_2
% 174.25/27.51    (6)   ~ (all_52_8 = all_52_12)
% 174.25/27.51    (7)   ~ (e3 = e1)
% 174.25/27.51    (8)  all_58_23 = all_52_7
% 174.25/27.51    (9)   ~ (all_52_2 = all_6_2)
% 174.25/27.51    (10)   ~ (all_52_4 = all_4_2)
% 174.25/27.51    (11)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 174.25/27.51    (12)  op(all_6_2, e3) = all_6_1
% 174.25/27.51    (13)   ~ (all_52_12 = all_6_2)
% 174.25/27.51    (14)   ~ (all_52_6 = all_4_2)
% 174.25/27.51    (15)  op(e2, e1) = e0
% 174.25/27.51    (16)  all_56_15 = all_14_2
% 174.25/27.51    (17)  all_54_1 = all_52_4
% 174.25/27.51    (18)  all_56_12 = e0
% 174.25/27.51    (19)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 174.25/27.51    (20)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.25/27.51    (21)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 174.25/27.51    (22)  all_58_26 = all_10_2
% 174.25/27.51    (23)   ~ (all_52_4 = all_52_6)
% 174.25/27.51    (24)  all_58_31 = all_14_2
% 174.25/27.51    (25)   ~ (all_52_11 = all_10_2)
% 174.25/27.51    (26)  all_58_25 = e0
% 174.25/27.51    (27)   ~ (all_52_4 = e0)
% 174.25/27.51    (28)  op(all_6_1, all_6_2) = all_6_0
% 174.25/27.51    (29)   ~ (all_52_1 = all_6_2)
% 174.25/27.51    (30)  all_56_11 = all_52_14
% 174.25/27.51    (31)   ~ (all_52_6 = all_52_7)
% 174.25/27.51    (32)  all_56_0 = all_6_2
% 174.25/27.51    (33)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.25/27.51    (34)  all_58_30 = all_52_14
% 174.25/27.51    (35)  all_58_27 = all_52_11
% 174.25/27.51    (36)  all_54_14 = all_52_11
% 174.25/27.51    (37)  all_56_9 = all_52_12
% 174.25/27.51    (38)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 174.25/27.51    (39)   ~ (e3 = e2)
% 174.25/27.51    (40)   ~ (e2 = e1)
% 174.25/27.51    (41)   ~ (all_52_7 = all_14_2)
% 174.25/27.51    (42)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.25/27.51    (43)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.25/27.51    (44)   ~ (all_52_1 = all_4_2)
% 174.25/27.51    (45)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.25/27.51    (46)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 174.25/27.51    (47)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.25/27.51    (48)   ~ (all_52_13 = all_52_14)
% 174.25/27.51    (49)  op(e2, e3) = all_52_1
% 174.25/27.51    (50)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.25/27.51    (51)  all_56_13 = all_52_7
% 174.25/27.51    (52)   ~ (all_52_4 = all_6_2)
% 174.25/27.51    (53)  all_56_2 = all_52_1
% 174.25/27.51    (54)   ~ (e3 = e0)
% 174.25/27.51    (55)  all_58_29 = all_52_13
% 174.25/27.51    (56)   ~ (all_52_1 = all_52_2)
% 174.25/27.51    (57)   ~ (all_4_2 = e0)
% 174.25/27.51    (58)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 174.25/27.51    (59)   ~ (all_6_2 = e0)
% 174.25/27.51    (60)   ~ (all_52_6 = all_52_14)
% 174.25/27.51    (61)   ~ (all_52_7 = all_4_2)
% 174.25/27.51    (62)  all_56_4 = all_52_8
% 174.25/27.51    (63)   ~ (all_52_1 = all_52_13)
% 174.25/27.51    (64)  all_58_20 = all_52_4
% 174.25/27.51    (65)  all_54_13 = all_52_7
% 174.25/27.51    (66)   ~ (all_52_7 = all_52_11)
% 174.25/27.51    (67)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.25/27.51    (68)   ~ (all_52_8 = all_52_11)
% 174.25/27.51    (69)   ~ (all_52_8 = all_6_2)
% 174.25/27.51    (70)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 174.25/27.51    (71)  all_56_6 = all_52_2
% 174.25/27.51    (72)   ~ (all_52_7 = e0)
% 174.25/27.51    (73)  all_58_24 = all_52_8
% 174.25/27.51    (74)  all_58_22 = all_52_6
% 174.25/27.51    (75)  all_56_3 = all_4_2
% 174.25/27.51    (76)  all_54_0 = all_6_2
% 174.25/27.51    (77)   ~ (all_52_14 = all_10_2)
% 174.25/27.51    (78)   ~ (all_52_11 = e0)
% 174.25/27.51    (79)   ~ (all_52_1 = e0)
% 174.25/27.51    (80)   ~ (all_52_4 = all_52_8)
% 174.25/27.51    (81)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.25/27.51            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.25/27.51    (82)  all_58_21 = all_4_2
% 174.25/27.51    (83)  all_56_10 = all_52_13
% 174.25/27.51    (84)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 174.25/27.51    (85)   ~ (e2 = e0)
% 174.25/27.51    (86)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 174.25/27.51    (87)  all_58_28 = all_52_12
% 174.25/27.51    (88)   ~ (e1 = e0)
% 174.25/27.51    (89)  all_56_5 = e0
% 174.25/27.51    (90)  all_56_7 = all_52_6
% 174.25/27.51    (91)   ~ (all_52_8 = e0)
% 174.25/27.51    (92)   ~ (all_52_2 = all_10_2)
% 174.25/27.51    (93)  op(e1, e2) = all_52_6
% 174.25/27.51    (94)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.25/27.51  
% 174.25/27.51  Begin of proof
% 174.25/27.51  | 
% 174.25/27.51  | BETA: splitting (70) gives:
% 174.25/27.51  | 
% 174.25/27.51  | Case 1:
% 174.25/27.51  | | 
% 174.25/27.51  | |   (95)  all_56_0 = e0
% 174.25/27.51  | | 
% 174.25/27.51  | | COMBINE_EQS: (32), (95) imply:
% 174.25/27.51  | |   (96)  all_6_2 = e0
% 174.25/27.51  | | 
% 174.25/27.51  | | REDUCE: (59), (96) imply:
% 174.25/27.51  | |   (97)  $false
% 174.25/27.51  | | 
% 174.25/27.51  | | CLOSE: (97) is inconsistent.
% 174.25/27.51  | | 
% 174.25/27.51  | Case 2:
% 174.25/27.51  | | 
% 174.25/27.51  | |   (98)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 174.25/27.51  | | 
% 174.25/27.51  | | BETA: splitting (98) gives:
% 174.25/27.51  | | 
% 174.25/27.51  | | Case 1:
% 174.25/27.51  | | | 
% 174.25/27.51  | | |   (99)  all_56_1 = e0
% 174.25/27.51  | | | 
% 174.25/27.51  | | | COMBINE_EQS: (3), (99) imply:
% 174.25/27.51  | | |   (100)  all_52_4 = e0
% 174.25/27.51  | | | 
% 174.25/27.51  | | | REDUCE: (27), (100) imply:
% 174.25/27.51  | | |   (101)  $false
% 174.25/27.51  | | | 
% 174.25/27.51  | | | CLOSE: (101) is inconsistent.
% 174.25/27.51  | | | 
% 174.25/27.51  | | Case 2:
% 174.25/27.51  | | | 
% 174.25/27.51  | | |   (102)  all_56_4 = e0 | all_56_9 = e0
% 174.25/27.51  | | | 
% 174.25/27.51  | | | BETA: splitting (102) gives:
% 174.25/27.51  | | | 
% 174.25/27.51  | | | Case 1:
% 174.25/27.51  | | | | 
% 174.25/27.51  | | | |   (103)  all_56_4 = e0
% 174.25/27.51  | | | | 
% 174.25/27.51  | | | | COMBINE_EQS: (62), (103) imply:
% 174.25/27.51  | | | |   (104)  all_52_8 = e0
% 174.25/27.51  | | | | 
% 174.25/27.51  | | | | REDUCE: (91), (104) imply:
% 174.25/27.51  | | | |   (105)  $false
% 174.25/27.51  | | | | 
% 174.25/27.51  | | | | CLOSE: (105) is inconsistent.
% 174.25/27.51  | | | | 
% 174.25/27.51  | | | Case 2:
% 174.25/27.51  | | | | 
% 174.25/27.51  | | | |   (106)  all_56_9 = e0
% 174.25/27.51  | | | | 
% 174.25/27.51  | | | | COMBINE_EQS: (37), (106) imply:
% 174.25/27.51  | | | |   (107)  all_52_12 = e0
% 174.25/27.51  | | | | 
% 174.25/27.51  | | | | SIMP: (107) implies:
% 174.25/27.51  | | | |   (108)  all_52_12 = e0
% 174.25/27.51  | | | | 
% 174.25/27.51  | | | | COMBINE_EQS: (87), (108) imply:
% 174.25/27.51  | | | |   (109)  all_58_28 = e0
% 174.25/27.51  | | | | 
% 174.25/27.51  | | | | REDUCE: (1), (108) imply:
% 174.25/27.51  | | | |   (110)   ~ (all_14_2 = e0)
% 174.25/27.51  | | | | 
% 174.25/27.51  | | | | SIMP: (110) implies:
% 174.25/27.51  | | | |   (111)   ~ (all_14_2 = e0)
% 174.25/27.51  | | | | 
% 174.25/27.51  | | | | REDUCE: (13), (108) imply:
% 174.25/27.51  | | | |   (112)   ~ (all_6_2 = e0)
% 174.25/27.51  | | | | 
% 174.25/27.51  | | | | BETA: splitting (11) gives:
% 174.25/27.51  | | | | 
% 174.25/27.51  | | | | Case 1:
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | |   (113)  all_56_3 = e0
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | | COMBINE_EQS: (75), (113) imply:
% 174.25/27.51  | | | | |   (114)  all_4_2 = e0
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | | REDUCE: (57), (114) imply:
% 174.25/27.51  | | | | |   (115)  $false
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | | CLOSE: (115) is inconsistent.
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | Case 2:
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | |   (116)  all_56_7 = e0 | all_56_13 = e0
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | | BETA: splitting (116) gives:
% 174.25/27.51  | | | | | 
% 174.25/27.51  | | | | | Case 1:
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | |   (117)  all_56_7 = e0
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | | COMBINE_EQS: (90), (117) imply:
% 174.25/27.51  | | | | | |   (118)  all_52_6 = e0
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | | COMBINE_EQS: (74), (118) imply:
% 174.25/27.51  | | | | | |   (119)  all_58_22 = e0
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | | REDUCE: (31), (118) imply:
% 174.25/27.51  | | | | | |   (120)   ~ (all_52_7 = e0)
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | | REDUCE: (60), (118) imply:
% 174.25/27.51  | | | | | |   (121)   ~ (all_52_14 = e0)
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | | SIMP: (121) implies:
% 174.25/27.51  | | | | | |   (122)   ~ (all_52_14 = e0)
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | | REDUCE: (14), (118) imply:
% 174.25/27.51  | | | | | |   (123)   ~ (all_4_2 = e0)
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | | REDUCE: (93), (118) imply:
% 174.25/27.51  | | | | | |   (124)  op(e1, e2) = e0
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | | BETA: splitting (46) gives:
% 174.25/27.51  | | | | | | 
% 174.25/27.51  | | | | | | Case 1:
% 174.25/27.51  | | | | | | | 
% 174.25/27.51  | | | | | | |   (125)  all_54_1 = e0
% 174.25/27.51  | | | | | | | 
% 174.25/27.51  | | | | | | | REF_CLOSE: (17), (27), (125) are inconsistent by sub-proof #866.
% 174.25/27.51  | | | | | | | 
% 174.25/27.51  | | | | | | Case 2:
% 174.25/27.51  | | | | | | | 
% 174.25/27.51  | | | | | | |   (126)   ~ (all_54_1 = e0)
% 174.25/27.51  | | | | | | |   (127)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 174.25/27.51  | | | | | | | 
% 174.25/27.51  | | | | | | | BETA: splitting (86) gives:
% 174.25/27.51  | | | | | | | 
% 174.25/27.51  | | | | | | | Case 1:
% 174.25/27.51  | | | | | | | | 
% 174.25/27.51  | | | | | | | |   (128)  all_54_13 = e0
% 174.25/27.51  | | | | | | | | 
% 174.25/27.51  | | | | | | | | REF_CLOSE: (65), (72), (128) are inconsistent by sub-proof #800.
% 174.25/27.51  | | | | | | | | 
% 174.25/27.51  | | | | | | | Case 2:
% 174.25/27.51  | | | | | | | | 
% 174.25/27.51  | | | | | | | |   (129)   ~ (all_54_13 = e0)
% 174.25/27.51  | | | | | | | |   (130)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 174.25/27.51  | | | | | | | | 
% 174.25/27.51  | | | | | | | | BETA: splitting (38) gives:
% 174.25/27.51  | | | | | | | | 
% 174.25/27.51  | | | | | | | | Case 1:
% 174.25/27.51  | | | | | | | | | 
% 174.25/27.51  | | | | | | | | |   (131)  all_54_14 = e0
% 174.25/27.51  | | | | | | | | | 
% 174.25/27.51  | | | | | | | | | REF_CLOSE: (36), (78), (131) are inconsistent by sub-proof
% 174.25/27.51  | | | | | | | | |            #799.
% 174.25/27.51  | | | | | | | | | 
% 174.25/27.51  | | | | | | | | Case 2:
% 174.25/27.51  | | | | | | | | | 
% 174.25/27.51  | | | | | | | | |   (132)   ~ (all_54_14 = e0)
% 174.25/27.51  | | | | | | | | |   (133)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 174.25/27.51  | | | | | | | | | 
% 174.25/27.51  | | | | | | | | | BETA: splitting (20) gives:
% 174.25/27.51  | | | | | | | | | 
% 174.25/27.51  | | | | | | | | | Case 1:
% 174.25/27.51  | | | | | | | | | | 
% 174.25/27.51  | | | | | | | | | |   (134)  all_58_31 = e0
% 174.25/27.51  | | | | | | | | | | 
% 174.25/27.51  | | | | | | | | | | COMBINE_EQS: (24), (134) imply:
% 174.25/27.51  | | | | | | | | | |   (135)  all_14_2 = e0
% 174.25/27.51  | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | REDUCE: (111), (135) imply:
% 174.25/27.52  | | | | | | | | | |   (136)  $false
% 174.25/27.52  | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | CLOSE: (136) is inconsistent.
% 174.25/27.52  | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | Case 2:
% 174.25/27.52  | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | |   (137)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.25/27.52  | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | BETA: splitting (33) gives:
% 174.25/27.52  | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | Case 1:
% 174.25/27.52  | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | |   (138)  all_58_27 = e0
% 174.25/27.52  | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | COMBINE_EQS: (35), (138) imply:
% 174.25/27.52  | | | | | | | | | | |   (139)  all_52_11 = e0
% 174.25/27.52  | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | REDUCE: (78), (139) imply:
% 174.25/27.52  | | | | | | | | | | |   (140)  $false
% 174.25/27.52  | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | CLOSE: (140) is inconsistent.
% 174.25/27.52  | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | Case 2:
% 174.25/27.52  | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | |   (141)   ~ (all_58_27 = e0)
% 174.25/27.52  | | | | | | | | | | |   (142)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.25/27.52  | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | BETA: splitting (67) gives:
% 174.25/27.52  | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | Case 1:
% 174.25/27.52  | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | |   (143)  all_58_23 = e0
% 174.25/27.52  | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | COMBINE_EQS: (8), (143) imply:
% 174.25/27.52  | | | | | | | | | | | |   (144)  all_52_7 = e0
% 174.25/27.52  | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | REDUCE: (72), (144) imply:
% 174.25/27.52  | | | | | | | | | | | |   (145)  $false
% 174.25/27.52  | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | CLOSE: (145) is inconsistent.
% 174.25/27.52  | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | Case 2:
% 174.25/27.52  | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | |   (146)   ~ (all_58_23 = e0)
% 174.25/27.52  | | | | | | | | | | | |   (147)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.25/27.52  | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | BETA: splitting (50) gives:
% 174.25/27.52  | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | Case 1:
% 174.25/27.52  | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | |   (148)  all_56_0 = e2
% 174.25/27.52  | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | COMBINE_EQS: (32), (148) imply:
% 174.25/27.52  | | | | | | | | | | | | |   (149)  all_6_2 = e2
% 174.25/27.52  | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | REDUCE: (29), (149) imply:
% 174.25/27.52  | | | | | | | | | | | | |   (150)   ~ (all_52_1 = e2)
% 174.25/27.52  | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | REDUCE: (9), (149) imply:
% 174.25/27.52  | | | | | | | | | | | | |   (151)   ~ (all_52_2 = e2)
% 174.25/27.52  | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | REDUCE: (52), (149) imply:
% 174.25/27.52  | | | | | | | | | | | | |   (152)   ~ (all_52_4 = e2)
% 174.25/27.52  | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | REDUCE: (28), (149) imply:
% 174.25/27.52  | | | | | | | | | | | | |   (153)  op(all_6_1, e2) = all_6_0
% 174.25/27.52  | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | REDUCE: (12), (149) imply:
% 174.25/27.52  | | | | | | | | | | | | |   (154)  op(e2, e3) = all_6_1
% 174.25/27.52  | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | GROUND_INST: instantiating (81) with all_52_1, all_6_1, e3, e2,
% 174.25/27.52  | | | | | | | | | | | | |              simplifying with (49), (154) gives:
% 174.25/27.52  | | | | | | | | | | | | |   (155)  all_52_1 = all_6_1
% 174.25/27.52  | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | COMBINE_EQS: (53), (155) imply:
% 174.25/27.52  | | | | | | | | | | | | |   (156)  all_56_2 = all_6_1
% 174.25/27.52  | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | REDUCE: (56), (155) imply:
% 174.25/27.52  | | | | | | | | | | | | |   (157)   ~ (all_52_2 = all_6_1)
% 174.25/27.52  | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | SIMP: (157) implies:
% 174.25/27.52  | | | | | | | | | | | | |   (158)   ~ (all_52_2 = all_6_1)
% 174.25/27.52  | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | BETA: splitting (19) gives:
% 174.25/27.52  | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | Case 1:
% 174.25/27.52  | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | |   (159)  all_56_0 = e3
% 174.25/27.52  | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | REF_CLOSE: (39), (148), (159) are inconsistent by sub-proof
% 174.25/27.52  | | | | | | | | | | | | | |            #735.
% 174.25/27.52  | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | Case 2:
% 174.25/27.52  | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | |   (160)  all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 174.25/27.52  | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 174.25/27.52  | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | Case 1:
% 174.25/27.52  | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | |   (161)  all_56_0 = e1
% 174.25/27.52  | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | REF_CLOSE: (18), (40), (50), (53), (71), (85), (150), (151),
% 174.25/27.52  | | | | | | | | | | | | | | |            (161) are inconsistent by sub-proof #731.
% 174.25/27.52  | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | Case 2:
% 174.25/27.52  | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | |   (162)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.25/27.52  | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 174.25/27.52  | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | Case 1:
% 174.25/27.52  | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | |   (163)  all_56_2 = e3
% 174.25/27.52  | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | COMBINE_EQS: (156), (163) imply:
% 174.25/27.52  | | | | | | | | | | | | | | | |   (164)  all_6_1 = e3
% 174.25/27.52  | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | REDUCE: (158), (164) imply:
% 174.25/27.52  | | | | | | | | | | | | | | | |   (165)   ~ (all_52_2 = e3)
% 174.25/27.52  | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | BETA: splitting (21) gives:
% 174.25/27.52  | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | Case 1:
% 174.25/27.52  | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | |   (166)  all_54_8 = e1
% 174.25/27.52  | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | | COMBINE_EQS: (2), (166) imply:
% 174.25/27.52  | | | | | | | | | | | | | | | | |   (167)  all_52_2 = e1
% 174.25/27.52  | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | | SIMP: (167) implies:
% 174.25/27.52  | | | | | | | | | | | | | | | | |   (168)  all_52_2 = e1
% 174.25/27.52  | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | | REDUCE: (92), (168) imply:
% 174.25/27.52  | | | | | | | | | | | | | | | | |   (169)   ~ (all_10_2 = e1)
% 174.25/27.52  | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | | SIMP: (169) implies:
% 174.25/27.52  | | | | | | | | | | | | | | | | |   (170)   ~ (all_10_2 = e1)
% 174.25/27.52  | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (17), (22), (26), (27), (34), (48), (55),
% 174.25/27.52  | | | | | | | | | | | | | | | | |            (73), (75), (80), (83), (84), (85), (89), (91),
% 174.25/27.52  | | | | | | | | | | | | | | | | |            (109), (127), (137), (142), (152), (163), (170)
% 174.25/27.52  | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #728.
% 174.25/27.52  | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | Case 2:
% 174.25/27.52  | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | |   (171)  all_54_8 = e3 | all_54_8 = e2
% 174.25/27.52  | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (151), (165), (171) are inconsistent by
% 174.25/27.52  | | | | | | | | | | | | | | | | |            sub-proof #727.
% 174.25/27.52  | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | End of split
% 174.25/27.52  | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | Case 2:
% 174.25/27.52  | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | |   (172)   ~ (all_56_2 = e3)
% 174.25/27.52  | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | REDUCE: (156), (172) imply:
% 174.25/27.52  | | | | | | | | | | | | | | | |   (173)   ~ (all_6_1 = e3)
% 174.25/27.52  | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 174.25/27.52  | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | Case 1:
% 174.25/27.52  | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | |   (174)  all_56_2 = e3
% 174.25/27.52  | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | | COMBINE_EQS: (156), (174) imply:
% 174.25/27.52  | | | | | | | | | | | | | | | | |   (175)  all_6_1 = e3
% 174.25/27.52  | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | | REDUCE: (173), (175) imply:
% 174.25/27.52  | | | | | | | | | | | | | | | | |   (176)  $false
% 174.25/27.52  | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | | CLOSE: (176) is inconsistent.
% 174.25/27.52  | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | Case 2:
% 174.25/27.52  | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | |   (177)  all_56_6 = e3 | all_56_12 = e3
% 174.25/27.52  | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 174.25/27.52  | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | | Case 1:
% 174.25/27.52  | | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | | |   (178)  all_56_6 = e3
% 174.25/27.52  | | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 174.25/27.52  | | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | | | Case 1:
% 174.25/27.52  | | | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | | | |   (179)  all_56_2 = e1
% 174.25/27.52  | | | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (156), (179) imply:
% 174.25/27.52  | | | | | | | | | | | | | | | | | | |   (180)  all_6_1 = e1
% 174.25/27.52  | | | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | | | | REDUCE: (154), (180) imply:
% 174.25/27.52  | | | | | | | | | | | | | | | | | | |   (181)  op(e2, e3) = e1
% 174.25/27.52  | | | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (81), (124), (153), (154), (181) are
% 174.25/27.52  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #798.
% 174.25/27.52  | | | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | | | Case 2:
% 174.25/27.52  | | | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | | | |   (182)  all_56_6 = e1 | all_56_12 = e1
% 174.25/27.52  | | | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18), (88), (178), (182) are inconsistent by
% 174.25/27.52  | | | | | | | | | | | | | | | | | | |            sub-proof #725.
% 174.25/27.52  | | | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | | | End of split
% 174.25/27.52  | | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | | Case 2:
% 174.25/27.52  | | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | | |   (183)  all_56_12 = e3
% 174.25/27.52  | | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18), (183) imply:
% 174.25/27.52  | | | | | | | | | | | | | | | | | |   (184)  e3 = e0
% 174.25/27.52  | | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | | | REDUCE: (54), (184) imply:
% 174.25/27.52  | | | | | | | | | | | | | | | | | |   (185)  $false
% 174.25/27.52  | | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | | | CLOSE: (185) is inconsistent.
% 174.25/27.52  | | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | | End of split
% 174.25/27.52  | | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | | End of split
% 174.25/27.52  | | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | | End of split
% 174.25/27.52  | | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | | End of split
% 174.25/27.52  | | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | End of split
% 174.25/27.52  | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | Case 2:
% 174.25/27.52  | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | |   (186)   ~ (all_56_0 = e2)
% 174.25/27.52  | | | | | | | | | | | | |   (187)  all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.25/27.52  | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | REDUCE: (32), (186) imply:
% 174.25/27.52  | | | | | | | | | | | | |   (188)   ~ (all_6_2 = e2)
% 174.25/27.52  | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | BETA: splitting (43) gives:
% 174.25/27.52  | | | | | | | | | | | | | 
% 174.25/27.52  | | | | | | | | | | | | | Case 1:
% 174.34/27.52  | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | |   (189)  all_56_0 = e2
% 174.34/27.52  | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | COMBINE_EQS: (32), (189) imply:
% 174.34/27.52  | | | | | | | | | | | | | |   (190)  all_6_2 = e2
% 174.34/27.52  | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | REDUCE: (188), (190) imply:
% 174.34/27.52  | | | | | | | | | | | | | |   (191)  $false
% 174.34/27.52  | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | CLOSE: (191) is inconsistent.
% 174.34/27.52  | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | Case 2:
% 174.34/27.52  | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | |   (192)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.34/27.52  | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 174.34/27.52  | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | Case 1:
% 174.34/27.52  | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | |   (193)  all_56_6 = e2
% 174.34/27.52  | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | COMBINE_EQS: (71), (193) imply:
% 174.34/27.52  | | | | | | | | | | | | | | |   (194)  all_52_2 = e2
% 174.34/27.52  | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | SIMP: (194) implies:
% 174.34/27.52  | | | | | | | | | | | | | | |   (195)  all_52_2 = e2
% 174.34/27.52  | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | REDUCE: (9), (195) imply:
% 174.34/27.52  | | | | | | | | | | | | | | |   (196)   ~ (all_6_2 = e2)
% 174.34/27.52  | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | REDUCE: (5), (195) imply:
% 174.34/27.52  | | | | | | | | | | | | | | |   (197)  op(e1, e3) = e2
% 174.34/27.52  | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 174.34/27.52  | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | Case 1:
% 174.34/27.52  | | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | |   (198)  all_56_0 = e1
% 174.34/27.52  | | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | | COMBINE_EQS: (32), (198) imply:
% 174.34/27.52  | | | | | | | | | | | | | | | |   (199)  all_6_2 = e1
% 174.34/27.52  | | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | | REDUCE: (28), (199) imply:
% 174.34/27.52  | | | | | | | | | | | | | | | |   (200)  op(all_6_1, e1) = all_6_0
% 174.34/27.52  | | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | | REDUCE: (12), (199) imply:
% 174.34/27.52  | | | | | | | | | | | | | | | |   (201)  op(e1, e3) = all_6_1
% 174.34/27.52  | | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15), (81), (197), (200), (201) are
% 174.34/27.52  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #761.
% 174.34/27.52  | | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | Case 2:
% 174.34/27.52  | | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | |   (202)   ~ (all_56_0 = e1)
% 174.34/27.52  | | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | | REDUCE: (32), (202) imply:
% 174.34/27.52  | | | | | | | | | | | | | | | |   (203)   ~ (all_6_2 = e1)
% 174.34/27.52  | | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (16), (17), (19), (22), (25), (26),
% 174.34/27.52  | | | | | | | | | | | | | | | |            (30), (32), (34), (36), (41), (42), (47), (52),
% 174.34/27.52  | | | | | | | | | | | | | | | |            (55), (57), (61), (62), (64), (65), (66), (68),
% 174.34/27.52  | | | | | | | | | | | | | | | |            (69), (72), (73), (76), (77), (78), (82), (83),
% 174.34/27.52  | | | | | | | | | | | | | | | |            (88), (106), (109), (119), (127), (130), (133),
% 174.34/27.52  | | | | | | | | | | | | | | | |            (137), (142), (147), (188), (192), (203) are
% 174.34/27.52  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #718.
% 174.34/27.52  | | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | End of split
% 174.34/27.52  | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | Case 2:
% 174.34/27.52  | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | |   (204)   ~ (all_56_6 = e2)
% 174.34/27.52  | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | REDUCE: (71), (204) imply:
% 174.34/27.52  | | | | | | | | | | | | | | |   (205)   ~ (all_52_2 = e2)
% 174.34/27.52  | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | BETA: splitting (187) gives:
% 174.34/27.52  | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | Case 1:
% 174.34/27.52  | | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | |   (206)  all_56_2 = e2
% 174.34/27.52  | | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | | COMBINE_EQS: (53), (206) imply:
% 174.34/27.52  | | | | | | | | | | | | | | | |   (207)  all_52_1 = e2
% 174.34/27.52  | | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | | REDUCE: (63), (207) imply:
% 174.34/27.52  | | | | | | | | | | | | | | | |   (208)   ~ (all_52_13 = e2)
% 174.34/27.52  | | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | | SIMP: (208) implies:
% 174.34/27.52  | | | | | | | | | | | | | | | |   (209)   ~ (all_52_13 = e2)
% 174.34/27.52  | | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | | REDUCE: (44), (207) imply:
% 174.34/27.52  | | | | | | | | | | | | | | | |   (210)   ~ (all_4_2 = e2)
% 174.34/27.52  | | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | | SIMP: (210) implies:
% 174.34/27.52  | | | | | | | | | | | | | | | |   (211)   ~ (all_4_2 = e2)
% 174.34/27.52  | | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | | REF_CLOSE: (22), (26), (34), (54), (55), (64), (73), (77),
% 174.34/27.52  | | | | | | | | | | | | | | | |            (80), (82), (85), (109), (119), (122), (137),
% 174.34/27.52  | | | | | | | | | | | | | | | |            (142), (147), (209), (211) are inconsistent by
% 174.34/27.52  | | | | | | | | | | | | | | | |            sub-proof #717.
% 174.34/27.52  | | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | Case 2:
% 174.34/27.52  | | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | |   (212)  all_56_6 = e2 | all_56_12 = e2
% 174.34/27.52  | | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | | REF_CLOSE: (18), (71), (85), (205), (212) are inconsistent by
% 174.34/27.52  | | | | | | | | | | | | | | | |            sub-proof #733.
% 174.34/27.52  | | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | | End of split
% 174.34/27.52  | | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | | End of split
% 174.34/27.52  | | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | | End of split
% 174.34/27.52  | | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | | End of split
% 174.34/27.52  | | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | End of split
% 174.34/27.52  | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | End of split
% 174.34/27.52  | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | End of split
% 174.34/27.52  | | | | | | | | | 
% 174.34/27.52  | | | | | | | | End of split
% 174.34/27.52  | | | | | | | | 
% 174.34/27.52  | | | | | | | End of split
% 174.34/27.52  | | | | | | | 
% 174.34/27.52  | | | | | | End of split
% 174.34/27.52  | | | | | | 
% 174.34/27.52  | | | | | Case 2:
% 174.34/27.52  | | | | | | 
% 174.34/27.52  | | | | | |   (213)  all_56_13 = e0
% 174.34/27.52  | | | | | | 
% 174.34/27.52  | | | | | | REF_CLOSE: (51), (72), (213) are inconsistent by sub-proof #942.
% 174.34/27.52  | | | | | | 
% 174.34/27.52  | | | | | End of split
% 174.34/27.52  | | | | | 
% 174.34/27.52  | | | | End of split
% 174.34/27.52  | | | | 
% 174.34/27.52  | | | End of split
% 174.34/27.52  | | | 
% 174.34/27.52  | | End of split
% 174.34/27.52  | | 
% 174.34/27.52  | End of split
% 174.34/27.52  | 
% 174.34/27.52  End of proof
% 174.34/27.52  
% 174.34/27.52  Sub-proof #717 shows that the following formulas are inconsistent:
% 174.34/27.52  ----------------------------------------------------------------
% 174.34/27.52    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.34/27.52    (2)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.34/27.52    (3)  all_58_26 = all_10_2
% 174.34/27.52    (4)  all_58_25 = e0
% 174.34/27.52    (5)  all_58_30 = all_52_14
% 174.34/27.52    (6)  all_58_22 = e0
% 174.34/27.52    (7)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.34/27.52    (8)  all_58_28 = e0
% 174.34/27.52    (9)   ~ (all_52_13 = e2)
% 174.34/27.52    (10)   ~ (e3 = e0)
% 174.34/27.52    (11)  all_58_29 = all_52_13
% 174.34/27.52    (12)  all_58_20 = all_52_4
% 174.34/27.52    (13)  all_58_24 = all_52_8
% 174.34/27.52    (14)   ~ (all_52_14 = all_10_2)
% 174.34/27.52    (15)   ~ (all_52_4 = all_52_8)
% 174.34/27.52    (16)  all_58_21 = all_4_2
% 174.34/27.52    (17)   ~ (e2 = e0)
% 174.34/27.52    (18)   ~ (all_52_14 = e0)
% 174.34/27.52    (19)   ~ (all_4_2 = e2)
% 174.34/27.52  
% 174.34/27.52  Begin of proof
% 174.34/27.52  | 
% 174.34/27.52  | BETA: splitting (2) gives:
% 174.34/27.52  | 
% 174.34/27.52  | Case 1:
% 174.34/27.52  | | 
% 174.34/27.52  | |   (20)  all_58_30 = e1
% 174.34/27.52  | | 
% 174.34/27.52  | | COMBINE_EQS: (5), (20) imply:
% 174.34/27.52  | |   (21)  all_52_14 = e1
% 174.34/27.52  | | 
% 174.34/27.52  | | REDUCE: (14), (21) imply:
% 174.34/27.52  | |   (22)   ~ (all_10_2 = e1)
% 174.34/27.52  | | 
% 174.34/27.52  | | SIMP: (22) implies:
% 174.34/27.52  | |   (23)   ~ (all_10_2 = e1)
% 174.34/27.52  | | 
% 174.34/27.52  | | REDUCE: (18), (21) imply:
% 174.34/27.52  | |   (24)   ~ (e1 = e0)
% 174.34/27.52  | | 
% 174.34/27.52  | | REF_CLOSE: (1), (3), (4), (6), (7), (12), (13), (15), (16), (17), (19),
% 174.34/27.52  | |            (23), (24) are inconsistent by sub-proof #750.
% 174.34/27.52  | | 
% 174.34/27.52  | Case 2:
% 174.34/27.52  | | 
% 174.34/27.52  | |   (25)  all_58_28 = e3 | all_58_29 = e2
% 174.34/27.52  | | 
% 174.34/27.52  | | REF_CLOSE: (8), (9), (10), (11), (25) are inconsistent by sub-proof #844.
% 174.34/27.52  | | 
% 174.34/27.52  | End of split
% 174.34/27.52  | 
% 174.34/27.52  End of proof
% 174.34/27.52  
% 174.34/27.52  Sub-proof #718 shows that the following formulas are inconsistent:
% 174.34/27.52  ----------------------------------------------------------------
% 174.34/27.52    (1)  all_56_1 = all_52_4
% 174.34/27.52    (2)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.34/27.52    (3)   ~ (all_52_4 = all_4_2)
% 174.34/27.52    (4)  all_56_15 = all_14_2
% 174.34/27.52    (5)  all_54_1 = all_52_4
% 174.34/27.52    (6)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 174.34/27.52    (7)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.34/27.52    (8)  all_58_26 = all_10_2
% 174.34/27.52    (9)   ~ (all_52_11 = all_10_2)
% 174.34/27.52    (10)  all_58_25 = e0
% 174.34/27.52    (11)  all_56_9 = e0
% 174.34/27.52    (12)  all_56_11 = all_52_14
% 174.34/27.52    (13)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.34/27.52    (14)  all_56_0 = all_6_2
% 174.34/27.52    (15)  all_58_30 = all_52_14
% 174.34/27.52    (16)  all_54_14 = all_52_11
% 174.34/27.52    (17)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 174.34/27.52    (18)  all_58_22 = e0
% 174.34/27.52    (19)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.34/27.52    (20)   ~ (all_52_7 = all_14_2)
% 174.34/27.52    (21)   ~ (all_6_2 = e2)
% 174.34/27.52    (22)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.34/27.52    (23)  all_58_28 = e0
% 174.34/27.52    (24)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.34/27.52    (25)   ~ (all_6_2 = e1)
% 174.34/27.52    (26)   ~ (all_52_4 = all_6_2)
% 174.34/27.52    (27)  all_58_29 = all_52_13
% 174.34/27.52    (28)   ~ (all_4_2 = e0)
% 174.34/27.52    (29)   ~ (all_52_7 = all_4_2)
% 174.34/27.52    (30)  all_56_4 = all_52_8
% 174.34/27.52    (31)  all_58_20 = all_52_4
% 174.34/27.52    (32)  all_54_13 = all_52_7
% 174.34/27.52    (33)   ~ (all_52_7 = all_52_11)
% 174.34/27.52    (34)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 174.34/27.52    (35)   ~ (all_52_8 = all_52_11)
% 174.34/27.52    (36)   ~ (all_52_8 = all_6_2)
% 174.34/27.52    (37)   ~ (all_52_7 = e0)
% 174.34/27.52    (38)  all_58_24 = all_52_8
% 174.34/27.52    (39)  all_54_0 = all_6_2
% 174.34/27.52    (40)   ~ (all_52_14 = all_10_2)
% 174.34/27.52    (41)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 174.34/27.52    (42)   ~ (all_52_11 = e0)
% 174.34/27.52    (43)  all_58_21 = all_4_2
% 174.34/27.52    (44)  all_56_10 = all_52_13
% 174.34/27.52    (45)   ~ (e1 = e0)
% 174.34/27.52  
% 174.34/27.52  Begin of proof
% 174.34/27.52  | 
% 174.34/27.52  | BETA: splitting (22) gives:
% 174.34/27.52  | 
% 174.34/27.52  | Case 1:
% 174.34/27.52  | | 
% 174.34/27.52  | |   (46)  all_54_0 = e1
% 174.34/27.52  | | 
% 174.34/27.52  | | REF_CLOSE: (25), (39), (46) are inconsistent by sub-proof #951.
% 174.34/27.52  | | 
% 174.34/27.52  | Case 2:
% 174.34/27.52  | | 
% 174.34/27.52  | |   (47)  all_54_0 = e3 | all_54_0 = e2
% 174.34/27.52  | | 
% 174.34/27.52  | | BETA: splitting (6) gives:
% 174.34/27.52  | | 
% 174.34/27.52  | | Case 1:
% 174.34/27.52  | | | 
% 174.34/27.52  | | |   (48)  all_56_0 = e3
% 174.34/27.52  | | | 
% 174.34/27.52  | | | COMBINE_EQS: (14), (48) imply:
% 174.34/27.52  | | |   (49)  all_6_2 = e3
% 174.34/27.52  | | | 
% 174.34/27.52  | | | REDUCE: (26), (49) imply:
% 174.34/27.52  | | |   (50)   ~ (all_52_4 = e3)
% 174.34/27.52  | | | 
% 174.34/27.52  | | | REDUCE: (36), (49) imply:
% 174.34/27.52  | | |   (51)   ~ (all_52_8 = e3)
% 174.34/27.52  | | | 
% 174.34/27.52  | | | BETA: splitting (2) gives:
% 174.34/27.52  | | | 
% 174.34/27.52  | | | Case 1:
% 174.34/27.52  | | | | 
% 174.34/27.52  | | | |   (52)  all_58_22 = e1
% 174.34/27.52  | | | | 
% 174.34/27.52  | | | | REF_CLOSE: (18), (45), (52) are inconsistent by sub-proof #923.
% 174.34/27.52  | | | | 
% 174.34/27.52  | | | Case 2:
% 174.34/27.52  | | | | 
% 174.34/27.52  | | | |   (53)  all_58_20 = e3 | all_58_21 = e2
% 174.34/27.52  | | | | 
% 174.34/27.52  | | | | BETA: splitting (53) gives:
% 174.34/27.52  | | | | 
% 174.34/27.52  | | | | Case 1:
% 174.34/27.52  | | | | | 
% 174.34/27.52  | | | | |   (54)  all_58_21 = e2
% 174.34/27.52  | | | | | 
% 174.34/27.52  | | | | | COMBINE_EQS: (43), (54) imply:
% 174.34/27.52  | | | | |   (55)  all_4_2 = e2
% 174.34/27.52  | | | | | 
% 174.34/27.52  | | | | | REDUCE: (3), (55) imply:
% 174.34/27.52  | | | | |   (56)   ~ (all_52_4 = e2)
% 174.34/27.52  | | | | | 
% 174.34/27.52  | | | | | REDUCE: (29), (55) imply:
% 174.34/27.52  | | | | |   (57)   ~ (all_52_7 = e2)
% 174.34/27.52  | | | | | 
% 174.34/27.52  | | | | | REDUCE: (28), (55) imply:
% 174.34/27.52  | | | | |   (58)   ~ (e2 = e0)
% 174.34/27.52  | | | | | 
% 174.34/27.52  | | | | | BETA: splitting (19) gives:
% 174.34/27.52  | | | | | 
% 174.34/27.52  | | | | | Case 1:
% 174.34/27.52  | | | | | | 
% 174.34/27.52  | | | | | |   (59)  all_58_26 = e1
% 174.34/27.52  | | | | | | 
% 174.34/27.52  | | | | | | COMBINE_EQS: (8), (59) imply:
% 174.34/27.52  | | | | | |   (60)  all_10_2 = e1
% 174.34/27.52  | | | | | | 
% 174.34/27.52  | | | | | | REDUCE: (9), (60) imply:
% 174.34/27.52  | | | | | |   (61)   ~ (all_52_11 = e1)
% 174.34/27.52  | | | | | | 
% 174.34/27.52  | | | | | | REDUCE: (40), (60) imply:
% 174.34/27.52  | | | | | |   (62)   ~ (all_52_14 = e1)
% 174.34/27.52  | | | | | | 
% 174.34/27.52  | | | | | | BETA: splitting (34) gives:
% 174.34/27.52  | | | | | | 
% 174.34/27.52  | | | | | | Case 1:
% 174.34/27.52  | | | | | | | 
% 174.34/27.52  | | | | | | |   (63)  all_54_1 = e1
% 174.34/27.52  | | | | | | | 
% 174.34/27.52  | | | | | | | COMBINE_EQS: (5), (63) imply:
% 174.34/27.52  | | | | | | |   (64)  all_52_4 = e1
% 174.34/27.52  | | | | | | | 
% 174.34/27.52  | | | | | | | SIMP: (64) implies:
% 174.34/27.52  | | | | | | |   (65)  all_52_4 = e1
% 174.34/27.52  | | | | | | | 
% 174.34/27.52  | | | | | | | COMBINE_EQS: (1), (65) imply:
% 174.34/27.52  | | | | | | |   (66)  all_56_1 = e1
% 174.34/27.52  | | | | | | | 
% 174.34/27.52  | | | | | | | REDUCE: (56), (65) imply:
% 174.34/27.52  | | | | | | |   (67)   ~ (e2 = e1)
% 174.34/27.52  | | | | | | | 
% 174.34/27.52  | | | | | | | SIMP: (67) implies:
% 174.34/27.52  | | | | | | |   (68)   ~ (e2 = e1)
% 174.34/27.52  | | | | | | | 
% 174.34/27.52  | | | | | | | BETA: splitting (13) gives:
% 174.34/27.52  | | | | | | | 
% 174.34/27.52  | | | | | | | Case 1:
% 174.34/27.52  | | | | | | | | 
% 174.34/27.52  | | | | | | | |   (69)  all_56_1 = e2
% 174.34/27.52  | | | | | | | | 
% 174.34/27.52  | | | | | | | | REF_CLOSE: (66), (68), (69) are inconsistent by sub-proof #724.
% 174.34/27.52  | | | | | | | | 
% 174.34/27.52  | | | | | | | Case 2:
% 174.34/27.52  | | | | | | | | 
% 174.34/27.52  | | | | | | | |   (70)  all_56_4 = e2 | all_56_9 = e2
% 174.34/27.52  | | | | | | | | 
% 174.34/27.52  | | | | | | | | BETA: splitting (70) gives:
% 174.34/27.52  | | | | | | | | 
% 174.34/27.52  | | | | | | | | Case 1:
% 174.34/27.52  | | | | | | | | | 
% 174.34/27.52  | | | | | | | | |   (71)  all_56_4 = e2
% 174.34/27.52  | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | COMBINE_EQS: (30), (71) imply:
% 174.34/27.52  | | | | | | | | |   (72)  all_52_8 = e2
% 174.34/27.52  | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | REDUCE: (35), (72) imply:
% 174.34/27.52  | | | | | | | | |   (73)   ~ (all_52_11 = e2)
% 174.34/27.52  | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | SIMP: (73) implies:
% 174.34/27.52  | | | | | | | | |   (74)   ~ (all_52_11 = e2)
% 174.34/27.52  | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | BETA: splitting (41) gives:
% 174.34/27.52  | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | Case 1:
% 174.34/27.52  | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | |   (75)  all_54_14 = e1
% 174.34/27.52  | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | REF_CLOSE: (16), (61), (75) are inconsistent by sub-proof
% 174.34/27.52  | | | | | | | | | |            #723.
% 174.34/27.52  | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | Case 2:
% 174.34/27.52  | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | |   (76)  all_54_14 = e3 | all_54_14 = e2
% 174.34/27.52  | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | BETA: splitting (76) gives:
% 174.34/27.52  | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | Case 1:
% 174.34/27.52  | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | |   (77)  all_54_14 = e2
% 174.34/27.52  | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | REF_CLOSE: (16), (74), (77) are inconsistent by sub-proof
% 174.34/27.52  | | | | | | | | | | |            #773.
% 174.34/27.52  | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | Case 2:
% 174.34/27.52  | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | |   (78)  all_54_14 = e3
% 174.34/27.52  | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | COMBINE_EQS: (16), (78) imply:
% 174.34/27.52  | | | | | | | | | | |   (79)  all_52_11 = e3
% 174.34/27.52  | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | SIMP: (79) implies:
% 174.34/27.52  | | | | | | | | | | |   (80)  all_52_11 = e3
% 174.34/27.52  | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | REDUCE: (33), (80) imply:
% 174.34/27.52  | | | | | | | | | | |   (81)   ~ (all_52_7 = e3)
% 174.34/27.52  | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | REDUCE: (42), (80) imply:
% 174.34/27.52  | | | | | | | | | | |   (82)   ~ (e3 = e0)
% 174.34/27.52  | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | | REF_CLOSE: (4), (7), (11), (12), (15), (17), (20), (23),
% 174.34/27.52  | | | | | | | | | | |            (24), (27), (32), (37), (44), (57), (62), (81),
% 174.34/27.52  | | | | | | | | | | |            (82) are inconsistent by sub-proof #722.
% 174.34/27.52  | | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | | End of split
% 174.34/27.52  | | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | End of split
% 174.34/27.52  | | | | | | | | | 
% 174.34/27.52  | | | | | | | | Case 2:
% 174.34/27.52  | | | | | | | | | 
% 174.34/27.52  | | | | | | | | |   (83)  all_56_9 = e2
% 174.34/27.52  | | | | | | | | | 
% 174.34/27.52  | | | | | | | | | REF_CLOSE: (11), (31), (50), (53), (54), (58), (83) are
% 174.34/27.52  | | | | | | | | |            inconsistent by sub-proof #719.
% 174.34/27.52  | | | | | | | | | 
% 174.34/27.52  | | | | | | | | End of split
% 174.34/27.52  | | | | | | | | 
% 174.34/27.52  | | | | | | | End of split
% 174.34/27.52  | | | | | | | 
% 174.34/27.52  | | | | | | Case 2:
% 174.34/27.52  | | | | | | | 
% 174.34/27.52  | | | | | | |   (84)  all_54_1 = e3 | all_54_1 = e2
% 174.34/27.52  | | | | | | | 
% 174.34/27.52  | | | | | | | REF_CLOSE: (5), (50), (56), (84) are inconsistent by sub-proof
% 174.34/27.52  | | | | | | |            #863.
% 174.34/27.52  | | | | | | | 
% 174.34/27.52  | | | | | | End of split
% 174.34/27.52  | | | | | | 
% 174.34/27.52  | | | | | Case 2:
% 174.34/27.52  | | | | | | 
% 174.34/27.52  | | | | | |   (85)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.52  | | | | | | 
% 174.34/27.52  | | | | | | REF_CLOSE: (10), (38), (51), (58), (85) are inconsistent by
% 174.34/27.52  | | | | | |            sub-proof #849.
% 174.34/27.52  | | | | | | 
% 174.34/27.52  | | | | | End of split
% 174.34/27.52  | | | | | 
% 174.34/27.52  | | | | Case 2:
% 174.34/27.52  | | | | | 
% 174.34/27.52  | | | | |   (86)  all_58_20 = e3
% 174.34/27.52  | | | | | 
% 174.34/27.52  | | | | | COMBINE_EQS: (31), (86) imply:
% 174.34/27.52  | | | | |   (87)  all_52_4 = e3
% 174.34/27.52  | | | | | 
% 174.34/27.52  | | | | | REDUCE: (50), (87) imply:
% 174.34/27.52  | | | | |   (88)  $false
% 174.34/27.52  | | | | | 
% 174.34/27.52  | | | | | CLOSE: (88) is inconsistent.
% 174.34/27.52  | | | | | 
% 174.34/27.52  | | | | End of split
% 174.34/27.52  | | | | 
% 174.34/27.52  | | | End of split
% 174.34/27.52  | | | 
% 174.34/27.52  | | Case 2:
% 174.34/27.52  | | | 
% 174.34/27.52  | | |   (89)   ~ (all_56_0 = e3)
% 174.34/27.52  | | | 
% 174.34/27.52  | | | REDUCE: (14), (89) imply:
% 174.34/27.52  | | |   (90)   ~ (all_6_2 = e3)
% 174.34/27.52  | | | 
% 174.34/27.52  | | | REF_CLOSE: (21), (39), (47), (90) are inconsistent by sub-proof #944.
% 174.34/27.52  | | | 
% 174.34/27.52  | | End of split
% 174.34/27.52  | | 
% 174.34/27.52  | End of split
% 174.34/27.52  | 
% 174.34/27.52  End of proof
% 174.34/27.52  
% 174.34/27.52  Sub-proof #719 shows that the following formulas are inconsistent:
% 174.34/27.52  ----------------------------------------------------------------
% 174.34/27.52    (1)   ~ (all_52_4 = e3)
% 174.34/27.52    (2)  all_56_9 = e0
% 174.34/27.52    (3)  all_58_21 = e2
% 174.34/27.52    (4)  all_56_9 = e2
% 174.34/27.52    (5)  all_58_20 = all_52_4
% 174.34/27.52    (6)  all_58_20 = e3 | all_58_21 = e2
% 174.34/27.52    (7)   ~ (e2 = e0)
% 174.34/27.52  
% 174.34/27.52  Begin of proof
% 174.34/27.52  | 
% 174.34/27.52  | COMBINE_EQS: (2), (4) imply:
% 174.34/27.52  |   (8)  e2 = e0
% 174.34/27.52  | 
% 174.34/27.52  | COMBINE_EQS: (3), (8) imply:
% 174.34/27.52  |   (9)  all_58_21 = e0
% 174.34/27.52  | 
% 174.34/27.52  | REF_CLOSE: (1), (5), (6), (7), (9) are inconsistent by sub-proof #720.
% 174.34/27.52  | 
% 174.34/27.52  End of proof
% 174.34/27.52  
% 174.34/27.52  Sub-proof #720 shows that the following formulas are inconsistent:
% 174.34/27.52  ----------------------------------------------------------------
% 174.34/27.52    (1)   ~ (all_52_4 = e3)
% 174.34/27.52    (2)  all_58_21 = e0
% 174.34/27.52    (3)  all_58_20 = all_52_4
% 174.34/27.52    (4)  all_58_20 = e3 | all_58_21 = e2
% 174.34/27.52    (5)   ~ (e2 = e0)
% 174.34/27.52  
% 174.34/27.52  Begin of proof
% 174.34/27.52  | 
% 174.34/27.52  | BETA: splitting (4) gives:
% 174.34/27.52  | 
% 174.34/27.52  | Case 1:
% 174.34/27.52  | | 
% 174.34/27.52  | |   (6)  all_58_21 = e2
% 174.34/27.52  | | 
% 174.34/27.52  | | REF_CLOSE: (2), (5), (6) are inconsistent by sub-proof #721.
% 174.34/27.52  | | 
% 174.34/27.52  | Case 2:
% 174.34/27.52  | | 
% 174.34/27.52  | |   (7)  all_58_20 = e3
% 174.34/27.52  | | 
% 174.34/27.52  | | COMBINE_EQS: (3), (7) imply:
% 174.34/27.52  | |   (8)  all_52_4 = e3
% 174.34/27.52  | | 
% 174.34/27.52  | | REDUCE: (1), (8) imply:
% 174.34/27.52  | |   (9)  $false
% 174.34/27.52  | | 
% 174.34/27.52  | | CLOSE: (9) is inconsistent.
% 174.34/27.52  | | 
% 174.34/27.52  | End of split
% 174.34/27.52  | 
% 174.34/27.52  End of proof
% 174.34/27.52  
% 174.34/27.52  Sub-proof #721 shows that the following formulas are inconsistent:
% 174.34/27.52  ----------------------------------------------------------------
% 174.34/27.52    (1)  all_58_21 = e2
% 174.34/27.52    (2)  all_58_21 = e0
% 174.34/27.52    (3)   ~ (e2 = e0)
% 174.34/27.52  
% 174.34/27.52  Begin of proof
% 174.34/27.52  | 
% 174.34/27.52  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.52  |   (4)  e2 = e0
% 174.34/27.52  | 
% 174.34/27.52  | SIMP: (4) implies:
% 174.34/27.52  |   (5)  e2 = e0
% 174.34/27.52  | 
% 174.34/27.52  | REDUCE: (3), (5) imply:
% 174.34/27.52  |   (6)  $false
% 174.34/27.52  | 
% 174.34/27.52  | CLOSE: (6) is inconsistent.
% 174.34/27.52  | 
% 174.34/27.52  End of proof
% 174.34/27.52  
% 174.34/27.52  Sub-proof #722 shows that the following formulas are inconsistent:
% 174.34/27.52  ----------------------------------------------------------------
% 174.34/27.52    (1)  all_56_15 = all_14_2
% 174.34/27.52    (2)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.34/27.52    (3)  all_56_9 = e0
% 174.34/27.52    (4)  all_56_11 = all_52_14
% 174.34/27.52    (5)  all_58_30 = all_52_14
% 174.34/27.52    (6)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 174.34/27.52    (7)   ~ (all_52_7 = e2)
% 174.34/27.52    (8)   ~ (all_52_7 = all_14_2)
% 174.34/27.52    (9)   ~ (all_52_14 = e1)
% 174.34/27.52    (10)  all_58_28 = e0
% 174.34/27.52    (11)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.34/27.52    (12)   ~ (e3 = e0)
% 174.34/27.52    (13)  all_58_29 = all_52_13
% 174.34/27.52    (14)  all_54_13 = all_52_7
% 174.34/27.52    (15)   ~ (all_52_7 = e3)
% 174.34/27.52    (16)   ~ (all_52_7 = e0)
% 174.34/27.52    (17)  all_56_10 = all_52_13
% 174.34/27.52  
% 174.34/27.52  Begin of proof
% 174.34/27.52  | 
% 174.34/27.52  | BETA: splitting (6) gives:
% 174.34/27.52  | 
% 174.34/27.52  | Case 1:
% 174.34/27.52  | | 
% 174.34/27.52  | |   (18)  all_54_13 = e1
% 174.34/27.52  | | 
% 174.34/27.52  | | COMBINE_EQS: (14), (18) imply:
% 174.34/27.52  | |   (19)  all_52_7 = e1
% 174.34/27.52  | | 
% 174.34/27.52  | | SIMP: (19) implies:
% 174.34/27.52  | |   (20)  all_52_7 = e1
% 174.34/27.52  | | 
% 174.34/27.52  | | REDUCE: (8), (20) imply:
% 174.34/27.52  | |   (21)   ~ (all_14_2 = e1)
% 174.34/27.52  | | 
% 174.34/27.52  | | SIMP: (21) implies:
% 174.34/27.52  | |   (22)   ~ (all_14_2 = e1)
% 174.34/27.52  | | 
% 174.34/27.52  | | REDUCE: (7), (20) imply:
% 174.34/27.52  | |   (23)   ~ (e2 = e1)
% 174.34/27.52  | | 
% 174.34/27.52  | | SIMP: (23) implies:
% 174.34/27.52  | |   (24)   ~ (e2 = e1)
% 174.34/27.52  | | 
% 174.34/27.52  | | REDUCE: (16), (20) imply:
% 174.34/27.52  | |   (25)   ~ (e1 = e0)
% 174.34/27.52  | | 
% 174.34/27.52  | | REF_CLOSE: (1), (2), (3), (4), (5), (9), (10), (11), (12), (13), (17), (22),
% 174.34/27.52  | |            (24), (25) are inconsistent by sub-proof #852.
% 174.34/27.52  | | 
% 174.34/27.52  | Case 2:
% 174.34/27.52  | | 
% 174.34/27.52  | |   (26)  all_54_13 = e3 | all_54_13 = e2
% 174.34/27.52  | | 
% 174.34/27.52  | | REF_CLOSE: (7), (14), (15), (26) are inconsistent by sub-proof #770.
% 174.34/27.52  | | 
% 174.34/27.52  | End of split
% 174.34/27.52  | 
% 174.34/27.52  End of proof
% 174.34/27.52  
% 174.34/27.52  Sub-proof #723 shows that the following formulas are inconsistent:
% 174.34/27.52  ----------------------------------------------------------------
% 174.34/27.52    (1)  all_54_14 = all_52_11
% 174.34/27.52    (2)  all_54_14 = e1
% 174.34/27.52    (3)   ~ (all_52_11 = e1)
% 174.34/27.52  
% 174.34/27.52  Begin of proof
% 174.34/27.52  | 
% 174.34/27.52  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.52  |   (4)  all_52_11 = e1
% 174.34/27.52  | 
% 174.34/27.52  | SIMP: (4) implies:
% 174.34/27.52  |   (5)  all_52_11 = e1
% 174.34/27.52  | 
% 174.34/27.52  | REDUCE: (3), (5) imply:
% 174.34/27.52  |   (6)  $false
% 174.34/27.52  | 
% 174.34/27.52  | CLOSE: (6) is inconsistent.
% 174.34/27.52  | 
% 174.34/27.52  End of proof
% 174.34/27.52  
% 174.34/27.52  Sub-proof #724 shows that the following formulas are inconsistent:
% 174.34/27.52  ----------------------------------------------------------------
% 174.34/27.52    (1)  all_56_1 = e2
% 174.34/27.52    (2)  all_56_1 = e1
% 174.34/27.52    (3)   ~ (e2 = e1)
% 174.34/27.52  
% 174.34/27.52  Begin of proof
% 174.34/27.52  | 
% 174.34/27.52  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.52  |   (4)  e2 = e1
% 174.34/27.52  | 
% 174.34/27.52  | SIMP: (4) implies:
% 174.34/27.52  |   (5)  e2 = e1
% 174.34/27.52  | 
% 174.34/27.52  | REDUCE: (3), (5) imply:
% 174.34/27.52  |   (6)  $false
% 174.34/27.52  | 
% 174.34/27.52  | CLOSE: (6) is inconsistent.
% 174.34/27.52  | 
% 174.34/27.52  End of proof
% 174.34/27.52  
% 174.34/27.52  Sub-proof #725 shows that the following formulas are inconsistent:
% 174.34/27.52  ----------------------------------------------------------------
% 174.34/27.52    (1)   ~ (e3 = e1)
% 174.34/27.52    (2)  all_56_12 = e0
% 174.34/27.52    (3)  all_56_6 = e3
% 174.34/27.52    (4)  all_56_6 = e1 | all_56_12 = e1
% 174.34/27.52    (5)   ~ (e1 = e0)
% 174.34/27.52  
% 174.34/27.52  Begin of proof
% 174.34/27.52  | 
% 174.34/27.52  | BETA: splitting (4) gives:
% 174.34/27.52  | 
% 174.34/27.52  | Case 1:
% 174.34/27.52  | | 
% 174.34/27.52  | |   (6)  all_56_6 = e1
% 174.34/27.52  | | 
% 174.34/27.52  | | REF_CLOSE: (1), (3), (6) are inconsistent by sub-proof #726.
% 174.34/27.52  | | 
% 174.34/27.52  | Case 2:
% 174.34/27.52  | | 
% 174.34/27.52  | |   (7)  all_56_12 = e1
% 174.34/27.52  | | 
% 174.34/27.52  | | COMBINE_EQS: (2), (7) imply:
% 174.34/27.52  | |   (8)  e1 = e0
% 174.34/27.52  | | 
% 174.34/27.52  | | REDUCE: (5), (8) imply:
% 174.34/27.52  | |   (9)  $false
% 174.34/27.52  | | 
% 174.34/27.52  | | CLOSE: (9) is inconsistent.
% 174.34/27.52  | | 
% 174.34/27.52  | End of split
% 174.34/27.52  | 
% 174.34/27.52  End of proof
% 174.34/27.52  
% 174.34/27.52  Sub-proof #726 shows that the following formulas are inconsistent:
% 174.34/27.52  ----------------------------------------------------------------
% 174.34/27.52    (1)  all_56_6 = e3
% 174.34/27.52    (2)  all_56_6 = e1
% 174.34/27.52    (3)   ~ (e3 = e1)
% 174.34/27.52  
% 174.34/27.52  Begin of proof
% 174.34/27.52  | 
% 174.34/27.52  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.52  |   (4)  e3 = e1
% 174.34/27.52  | 
% 174.34/27.52  | SIMP: (4) implies:
% 174.34/27.52  |   (5)  e3 = e1
% 174.34/27.52  | 
% 174.34/27.52  | REDUCE: (3), (5) imply:
% 174.34/27.52  |   (6)  $false
% 174.34/27.52  | 
% 174.34/27.52  | CLOSE: (6) is inconsistent.
% 174.34/27.52  | 
% 174.34/27.52  End of proof
% 174.34/27.52  
% 174.34/27.52  Sub-proof #727 shows that the following formulas are inconsistent:
% 174.34/27.52  ----------------------------------------------------------------
% 174.34/27.52    (1)  all_54_8 = e3 | all_54_8 = e2
% 174.34/27.52    (2)  all_54_8 = all_52_2
% 174.34/27.52    (3)   ~ (all_52_2 = e2)
% 174.34/27.52    (4)   ~ (all_52_2 = e3)
% 174.34/27.52  
% 174.34/27.52  Begin of proof
% 174.34/27.52  | 
% 174.34/27.52  | BETA: splitting (1) gives:
% 174.34/27.52  | 
% 174.34/27.52  | Case 1:
% 174.34/27.52  | | 
% 174.34/27.52  | |   (5)  all_54_8 = e2
% 174.34/27.52  | | 
% 174.34/27.52  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #787.
% 174.34/27.52  | | 
% 174.34/27.52  | Case 2:
% 174.34/27.52  | | 
% 174.34/27.52  | |   (6)  all_54_8 = e3
% 174.34/27.52  | | 
% 174.34/27.52  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #786.
% 174.34/27.52  | | 
% 174.34/27.52  | End of split
% 174.34/27.52  | 
% 174.34/27.52  End of proof
% 174.34/27.52  
% 174.34/27.52  Sub-proof #728 shows that the following formulas are inconsistent:
% 174.34/27.52  ----------------------------------------------------------------
% 174.34/27.52    (1)   ~ (all_52_4 = all_4_2)
% 174.34/27.52    (2)  all_54_1 = all_52_4
% 174.34/27.52    (3)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.34/27.52    (4)  all_58_26 = all_10_2
% 174.34/27.52    (5)  all_58_25 = e0
% 174.34/27.52    (6)   ~ (all_52_4 = e0)
% 174.34/27.52    (7)  all_58_30 = all_52_14
% 174.34/27.52    (8)   ~ (all_10_2 = e1)
% 174.34/27.52    (9)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.34/27.52    (10)  all_58_28 = e0
% 174.34/27.52    (11)   ~ (all_52_13 = all_52_14)
% 174.34/27.52    (12)  all_58_29 = all_52_13
% 174.34/27.52    (13)   ~ (all_52_4 = e2)
% 174.34/27.52    (14)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 174.34/27.52    (15)  all_58_24 = all_52_8
% 174.34/27.52    (16)  all_56_3 = all_4_2
% 174.34/27.52    (17)   ~ (all_52_4 = all_52_8)
% 174.34/27.52    (18)  all_56_10 = all_52_13
% 174.34/27.52    (19)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 174.34/27.52    (20)   ~ (e2 = e0)
% 174.34/27.52    (21)  all_56_5 = e0
% 174.34/27.52    (22)  all_56_2 = e3
% 174.34/27.52    (23)   ~ (all_52_8 = e0)
% 174.34/27.52  
% 174.34/27.52  Begin of proof
% 174.34/27.52  | 
% 174.34/27.52  | BETA: splitting (9) gives:
% 174.34/27.52  | 
% 174.34/27.52  | Case 1:
% 174.34/27.52  | | 
% 174.34/27.52  | |   (24)  all_58_26 = e1
% 174.34/27.52  | | 
% 174.34/27.52  | | COMBINE_EQS: (4), (24) imply:
% 174.34/27.52  | |   (25)  all_10_2 = e1
% 174.34/27.52  | | 
% 174.34/27.52  | | REDUCE: (8), (25) imply:
% 174.34/27.52  | |   (26)  $false
% 174.34/27.52  | | 
% 174.34/27.52  | | CLOSE: (26) is inconsistent.
% 174.34/27.52  | | 
% 174.34/27.52  | Case 2:
% 174.34/27.52  | | 
% 174.34/27.52  | |   (27)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.52  | | 
% 174.34/27.52  | | BETA: splitting (27) gives:
% 174.34/27.52  | | 
% 174.34/27.52  | | Case 1:
% 174.34/27.52  | | | 
% 174.34/27.52  | | |   (28)  all_58_25 = e2
% 174.34/27.52  | | | 
% 174.34/27.52  | | | COMBINE_EQS: (5), (28) imply:
% 174.34/27.52  | | |   (29)  e2 = e0
% 174.34/27.52  | | | 
% 174.34/27.52  | | | REDUCE: (20), (29) imply:
% 174.34/27.52  | | |   (30)  $false
% 174.34/27.52  | | | 
% 174.34/27.52  | | | CLOSE: (30) is inconsistent.
% 174.34/27.52  | | | 
% 174.34/27.52  | | Case 2:
% 174.34/27.52  | | | 
% 174.34/27.52  | | |   (31)  all_58_24 = e3
% 174.34/27.52  | | |   (32)   ~ (all_58_25 = e2)
% 174.34/27.52  | | | 
% 174.34/27.52  | | | COMBINE_EQS: (15), (31) imply:
% 174.34/27.52  | | |   (33)  all_52_8 = e3
% 174.34/27.52  | | | 
% 174.34/27.52  | | | SIMP: (33) implies:
% 174.34/27.52  | | |   (34)  all_52_8 = e3
% 174.34/27.52  | | | 
% 174.34/27.52  | | | REDUCE: (5), (32) imply:
% 174.34/27.52  | | |   (35)   ~ (e2 = e0)
% 174.34/27.52  | | | 
% 174.34/27.52  | | | REDUCE: (17), (34) imply:
% 174.34/27.52  | | |   (36)   ~ (all_52_4 = e3)
% 174.34/27.52  | | | 
% 174.34/27.52  | | | REDUCE: (23), (34) imply:
% 174.34/27.52  | | |   (37)   ~ (e3 = e0)
% 174.34/27.52  | | | 
% 174.34/27.52  | | | BETA: splitting (14) gives:
% 174.34/27.52  | | | 
% 174.34/27.52  | | | Case 1:
% 174.34/27.52  | | | | 
% 174.34/27.52  | | | |   (38)  all_54_1 = e1
% 174.34/27.53  | | | | 
% 174.34/27.53  | | | | COMBINE_EQS: (2), (38) imply:
% 174.34/27.53  | | | |   (39)  all_52_4 = e1
% 174.34/27.53  | | | | 
% 174.34/27.53  | | | | SIMP: (39) implies:
% 174.34/27.53  | | | |   (40)  all_52_4 = e1
% 174.34/27.53  | | | | 
% 174.34/27.53  | | | | REDUCE: (1), (40) imply:
% 174.34/27.53  | | | |   (41)   ~ (all_4_2 = e1)
% 174.34/27.53  | | | | 
% 174.34/27.53  | | | | SIMP: (41) implies:
% 174.34/27.53  | | | |   (42)   ~ (all_4_2 = e1)
% 174.34/27.53  | | | | 
% 174.34/27.53  | | | | REDUCE: (36), (40) imply:
% 174.34/27.53  | | | |   (43)   ~ (e3 = e1)
% 174.34/27.53  | | | | 
% 174.34/27.53  | | | | SIMP: (43) implies:
% 174.34/27.53  | | | |   (44)   ~ (e3 = e1)
% 174.34/27.53  | | | | 
% 174.34/27.53  | | | | REDUCE: (13), (40) imply:
% 174.34/27.53  | | | |   (45)   ~ (e2 = e1)
% 174.34/27.53  | | | | 
% 174.34/27.53  | | | | SIMP: (45) implies:
% 174.34/27.53  | | | |   (46)   ~ (e2 = e1)
% 174.34/27.53  | | | | 
% 174.34/27.53  | | | | REDUCE: (6), (40) imply:
% 174.34/27.53  | | | |   (47)   ~ (e1 = e0)
% 174.34/27.53  | | | | 
% 174.34/27.53  | | | | BETA: splitting (19) gives:
% 174.34/27.53  | | | | 
% 174.34/27.53  | | | | Case 1:
% 174.34/27.53  | | | | | 
% 174.34/27.53  | | | | |   (48)  all_56_2 = e1
% 174.34/27.53  | | | | | 
% 174.34/27.53  | | | | | COMBINE_EQS: (22), (48) imply:
% 174.34/27.53  | | | | |   (49)  e3 = e1
% 174.34/27.53  | | | | | 
% 174.34/27.53  | | | | | COMBINE_EQS: (31), (49) imply:
% 174.34/27.53  | | | | |   (50)  all_58_24 = e1
% 174.34/27.53  | | | | | 
% 174.34/27.53  | | | | | REF_CLOSE: (5), (20), (27), (44), (50) are inconsistent by sub-proof
% 174.34/27.53  | | | | |            #967.
% 174.34/27.53  | | | | | 
% 174.34/27.53  | | | | Case 2:
% 174.34/27.53  | | | | | 
% 174.34/27.53  | | | | |   (51)  all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 174.34/27.53  | | | | | 
% 174.34/27.53  | | | | | REF_CLOSE: (3), (7), (10), (11), (12), (16), (18), (21), (37), (42),
% 174.34/27.53  | | | | |            (46), (47), (51) are inconsistent by sub-proof #729.
% 174.34/27.53  | | | | | 
% 174.34/27.53  | | | | End of split
% 174.34/27.53  | | | | 
% 174.34/27.53  | | | Case 2:
% 174.34/27.53  | | | | 
% 174.34/27.53  | | | |   (52)  all_54_1 = e3 | all_54_1 = e2
% 174.34/27.53  | | | | 
% 174.34/27.53  | | | | REF_CLOSE: (2), (13), (36), (52) are inconsistent by sub-proof #863.
% 174.34/27.53  | | | | 
% 174.34/27.53  | | | End of split
% 174.34/27.53  | | | 
% 174.34/27.53  | | End of split
% 174.34/27.53  | | 
% 174.34/27.53  | End of split
% 174.34/27.53  | 
% 174.34/27.53  End of proof
% 174.34/27.53  
% 174.34/27.53  Sub-proof #729 shows that the following formulas are inconsistent:
% 174.34/27.53  ----------------------------------------------------------------
% 174.34/27.53    (1)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.34/27.53    (2)  all_58_30 = all_52_14
% 174.34/27.53    (3)   ~ (all_4_2 = e1)
% 174.34/27.53    (4)   ~ (e2 = e1)
% 174.34/27.53    (5)  all_58_28 = e0
% 174.34/27.53    (6)   ~ (all_52_13 = all_52_14)
% 174.34/27.53    (7)   ~ (e3 = e0)
% 174.34/27.53    (8)  all_58_29 = all_52_13
% 174.34/27.53    (9)  all_56_3 = all_4_2
% 174.34/27.53    (10)  all_56_10 = all_52_13
% 174.34/27.53    (11)  all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 174.34/27.53    (12)   ~ (e1 = e0)
% 174.34/27.53    (13)  all_56_5 = e0
% 174.34/27.53  
% 174.34/27.53  Begin of proof
% 174.34/27.53  | 
% 174.34/27.53  | BETA: splitting (11) gives:
% 174.34/27.53  | 
% 174.34/27.53  | Case 1:
% 174.34/27.53  | | 
% 174.34/27.53  | |   (14)  all_56_3 = e1
% 174.34/27.53  | | 
% 174.34/27.53  | | COMBINE_EQS: (9), (14) imply:
% 174.34/27.53  | |   (15)  all_4_2 = e1
% 174.34/27.53  | | 
% 174.34/27.53  | | REDUCE: (3), (15) imply:
% 174.34/27.53  | |   (16)  $false
% 174.34/27.53  | | 
% 174.34/27.53  | | CLOSE: (16) is inconsistent.
% 174.34/27.53  | | 
% 174.34/27.53  | Case 2:
% 174.34/27.53  | | 
% 174.34/27.53  | |   (17)  all_56_5 = e1 | all_56_10 = e1
% 174.34/27.53  | | 
% 174.34/27.53  | | BETA: splitting (17) gives:
% 174.34/27.53  | | 
% 174.34/27.53  | | Case 1:
% 174.34/27.53  | | | 
% 174.34/27.53  | | |   (18)  all_56_5 = e1
% 174.34/27.53  | | | 
% 174.34/27.53  | | | REF_CLOSE: (12), (13), (18) are inconsistent by sub-proof #730.
% 174.34/27.53  | | | 
% 174.34/27.53  | | Case 2:
% 174.34/27.53  | | | 
% 174.34/27.53  | | |   (19)  all_56_10 = e1
% 174.34/27.53  | | | 
% 174.34/27.53  | | | COMBINE_EQS: (10), (19) imply:
% 174.34/27.53  | | |   (20)  all_52_13 = e1
% 174.34/27.53  | | | 
% 174.34/27.53  | | | SIMP: (20) implies:
% 174.34/27.53  | | |   (21)  all_52_13 = e1
% 174.34/27.53  | | | 
% 174.34/27.53  | | | COMBINE_EQS: (8), (21) imply:
% 174.34/27.53  | | |   (22)  all_58_29 = e1
% 174.34/27.53  | | | 
% 174.34/27.53  | | | REDUCE: (6), (21) imply:
% 174.34/27.53  | | |   (23)   ~ (all_52_14 = e1)
% 174.34/27.53  | | | 
% 174.34/27.53  | | | SIMP: (23) implies:
% 174.34/27.53  | | |   (24)   ~ (all_52_14 = e1)
% 174.34/27.53  | | | 
% 174.34/27.53  | | | REF_CLOSE: (1), (2), (4), (5), (7), (22), (24) are inconsistent by
% 174.34/27.53  | | |            sub-proof #856.
% 174.34/27.53  | | | 
% 174.34/27.53  | | End of split
% 174.34/27.53  | | 
% 174.34/27.53  | End of split
% 174.34/27.53  | 
% 174.34/27.53  End of proof
% 174.34/27.53  
% 174.34/27.53  Sub-proof #730 shows that the following formulas are inconsistent:
% 174.34/27.53  ----------------------------------------------------------------
% 174.34/27.53    (1)  all_56_5 = e1
% 174.34/27.53    (2)  all_56_5 = e0
% 174.34/27.53    (3)   ~ (e1 = e0)
% 174.34/27.53  
% 174.34/27.53  Begin of proof
% 174.34/27.53  | 
% 174.34/27.53  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.53  |   (4)  e1 = e0
% 174.34/27.53  | 
% 174.34/27.53  | SIMP: (4) implies:
% 174.34/27.53  |   (5)  e1 = e0
% 174.34/27.53  | 
% 174.34/27.53  | REDUCE: (3), (5) imply:
% 174.34/27.53  |   (6)  $false
% 174.34/27.53  | 
% 174.34/27.53  | CLOSE: (6) is inconsistent.
% 174.34/27.53  | 
% 174.34/27.53  End of proof
% 174.34/27.53  
% 174.34/27.53  Sub-proof #731 shows that the following formulas are inconsistent:
% 174.34/27.53  ----------------------------------------------------------------
% 174.34/27.53    (1)  all_56_0 = e1
% 174.34/27.53    (2)  all_56_12 = e0
% 174.34/27.53    (3)   ~ (e2 = e1)
% 174.34/27.53    (4)   ~ (all_52_2 = e2)
% 174.34/27.53    (5)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.34/27.53    (6)  all_56_2 = all_52_1
% 174.34/27.53    (7)  all_56_6 = all_52_2
% 174.34/27.53    (8)   ~ (all_52_1 = e2)
% 174.34/27.53    (9)   ~ (e2 = e0)
% 174.34/27.53  
% 174.34/27.53  Begin of proof
% 174.34/27.53  | 
% 174.34/27.53  | BETA: splitting (5) gives:
% 174.34/27.53  | 
% 174.34/27.53  | Case 1:
% 174.34/27.53  | | 
% 174.34/27.53  | |   (10)  all_56_0 = e2
% 174.34/27.53  | | 
% 174.34/27.53  | | COMBINE_EQS: (1), (10) imply:
% 174.34/27.53  | |   (11)  e2 = e1
% 174.34/27.53  | | 
% 174.34/27.53  | | REDUCE: (3), (11) imply:
% 174.34/27.53  | |   (12)  $false
% 174.34/27.53  | | 
% 174.34/27.53  | | CLOSE: (12) is inconsistent.
% 174.34/27.53  | | 
% 174.34/27.53  | Case 2:
% 174.34/27.53  | | 
% 174.34/27.53  | |   (13)  all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.34/27.53  | | 
% 174.34/27.53  | | REF_CLOSE: (2), (4), (6), (7), (8), (9), (13) are inconsistent by sub-proof
% 174.34/27.53  | |            #732.
% 174.34/27.53  | | 
% 174.34/27.53  | End of split
% 174.34/27.53  | 
% 174.34/27.53  End of proof
% 174.34/27.53  
% 174.34/27.53  Sub-proof #732 shows that the following formulas are inconsistent:
% 174.34/27.53  ----------------------------------------------------------------
% 174.34/27.53    (1)  all_56_12 = e0
% 174.34/27.53    (2)  all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.34/27.53    (3)   ~ (all_52_2 = e2)
% 174.34/27.53    (4)  all_56_2 = all_52_1
% 174.34/27.53    (5)  all_56_6 = all_52_2
% 174.34/27.53    (6)   ~ (all_52_1 = e2)
% 174.34/27.53    (7)   ~ (e2 = e0)
% 174.34/27.53  
% 174.34/27.53  Begin of proof
% 174.34/27.53  | 
% 174.34/27.53  | BETA: splitting (2) gives:
% 174.34/27.53  | 
% 174.34/27.53  | Case 1:
% 174.34/27.53  | | 
% 174.34/27.53  | |   (8)  all_56_2 = e2
% 174.34/27.53  | | 
% 174.34/27.53  | | COMBINE_EQS: (4), (8) imply:
% 174.34/27.53  | |   (9)  all_52_1 = e2
% 174.34/27.53  | | 
% 174.34/27.53  | | SIMP: (9) implies:
% 174.34/27.53  | |   (10)  all_52_1 = e2
% 174.34/27.53  | | 
% 174.34/27.53  | | REDUCE: (6), (10) imply:
% 174.34/27.53  | |   (11)  $false
% 174.34/27.53  | | 
% 174.34/27.53  | | CLOSE: (11) is inconsistent.
% 174.34/27.53  | | 
% 174.34/27.53  | Case 2:
% 174.34/27.53  | | 
% 174.34/27.53  | |   (12)  all_56_6 = e2 | all_56_12 = e2
% 174.34/27.53  | | 
% 174.34/27.53  | | REF_CLOSE: (1), (3), (5), (7), (12) are inconsistent by sub-proof #733.
% 174.34/27.53  | | 
% 174.34/27.53  | End of split
% 174.34/27.53  | 
% 174.34/27.53  End of proof
% 174.34/27.53  
% 174.34/27.53  Sub-proof #733 shows that the following formulas are inconsistent:
% 174.34/27.53  ----------------------------------------------------------------
% 174.34/27.53    (1)  all_56_6 = e2 | all_56_12 = e2
% 174.34/27.53    (2)  all_56_12 = e0
% 174.34/27.53    (3)   ~ (all_52_2 = e2)
% 174.34/27.53    (4)  all_56_6 = all_52_2
% 174.34/27.53    (5)   ~ (e2 = e0)
% 174.34/27.53  
% 174.34/27.53  Begin of proof
% 174.34/27.53  | 
% 174.34/27.53  | BETA: splitting (1) gives:
% 174.34/27.53  | 
% 174.34/27.53  | Case 1:
% 174.34/27.53  | | 
% 174.34/27.53  | |   (6)  all_56_6 = e2
% 174.34/27.53  | | 
% 174.34/27.53  | | REF_CLOSE: (3), (4), (6) are inconsistent by sub-proof #734.
% 174.34/27.53  | | 
% 174.34/27.53  | Case 2:
% 174.34/27.53  | | 
% 174.34/27.53  | |   (7)  all_56_12 = e2
% 174.34/27.53  | | 
% 174.34/27.53  | | COMBINE_EQS: (2), (7) imply:
% 174.34/27.53  | |   (8)  e2 = e0
% 174.34/27.53  | | 
% 174.34/27.53  | | REDUCE: (5), (8) imply:
% 174.34/27.53  | |   (9)  $false
% 174.34/27.53  | | 
% 174.34/27.53  | | CLOSE: (9) is inconsistent.
% 174.34/27.53  | | 
% 174.34/27.53  | End of split
% 174.34/27.53  | 
% 174.34/27.53  End of proof
% 174.34/27.53  
% 174.34/27.53  Sub-proof #734 shows that the following formulas are inconsistent:
% 174.34/27.53  ----------------------------------------------------------------
% 174.34/27.53    (1)  all_56_6 = all_52_2
% 174.34/27.53    (2)  all_56_6 = e2
% 174.34/27.53    (3)   ~ (all_52_2 = e2)
% 174.34/27.53  
% 174.34/27.53  Begin of proof
% 174.34/27.53  | 
% 174.34/27.53  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.53  |   (4)  all_52_2 = e2
% 174.34/27.53  | 
% 174.34/27.53  | SIMP: (4) implies:
% 174.34/27.53  |   (5)  all_52_2 = e2
% 174.34/27.53  | 
% 174.34/27.53  | REDUCE: (3), (5) imply:
% 174.34/27.53  |   (6)  $false
% 174.34/27.53  | 
% 174.34/27.53  | CLOSE: (6) is inconsistent.
% 174.34/27.53  | 
% 174.34/27.53  End of proof
% 174.34/27.53  
% 174.34/27.53  Sub-proof #735 shows that the following formulas are inconsistent:
% 174.34/27.53  ----------------------------------------------------------------
% 174.34/27.53    (1)  all_56_0 = e3
% 174.34/27.53    (2)  all_56_0 = e2
% 174.34/27.53    (3)   ~ (e3 = e2)
% 174.34/27.53  
% 174.34/27.53  Begin of proof
% 174.34/27.53  | 
% 174.34/27.53  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.53  |   (4)  e3 = e2
% 174.34/27.53  | 
% 174.34/27.53  | SIMP: (4) implies:
% 174.34/27.53  |   (5)  e3 = e2
% 174.34/27.53  | 
% 174.34/27.53  | REDUCE: (3), (5) imply:
% 174.34/27.53  |   (6)  $false
% 174.34/27.53  | 
% 174.34/27.53  | CLOSE: (6) is inconsistent.
% 174.34/27.53  | 
% 174.34/27.53  End of proof
% 174.34/27.53  
% 174.34/27.53  Sub-proof #736 shows that the following formulas are inconsistent:
% 174.34/27.53  ----------------------------------------------------------------
% 174.34/27.53    (1)   ~ (all_52_12 = all_14_2)
% 174.34/27.53    (2)   ~ (all_6_0 = e0)
% 174.34/27.53    (3)  op(e1, e3) = all_52_2
% 174.34/27.53    (4)   ~ (all_52_8 = all_52_12)
% 174.34/27.53    (5)   ~ (e3 = e1)
% 174.34/27.53    (6)  all_58_23 = all_52_7
% 174.34/27.53    (7)  all_54_3 = all_52_12
% 174.34/27.53    (8)  op(all_6_2, e3) = all_6_1
% 174.34/27.53    (9)   ~ (all_52_12 = all_6_2)
% 174.34/27.53    (10)   ~ (all_52_6 = all_4_2)
% 174.34/27.53    (11)  op(e2, e1) = e0
% 174.34/27.53    (12)  all_56_15 = all_14_2
% 174.34/27.53    (13)   ~ (all_52_11 = all_14_2)
% 174.34/27.53    (14)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 174.34/27.53    (15)  all_56_14 = all_52_11
% 174.34/27.53    (16)   ~ (all_52_13 = all_4_2)
% 174.34/27.53    (17)  all_56_12 = e0
% 174.34/27.53    (18)  all_56_8 = all_10_2
% 174.34/27.53    (19)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.34/27.53    (20)  all_58_26 = all_10_2
% 174.34/27.53    (21)  all_58_31 = all_14_2
% 174.34/27.53    (22)   ~ (all_52_11 = all_10_2)
% 174.34/27.53    (23)  all_58_25 = e0
% 174.34/27.53    (24)  op(all_6_1, all_6_2) = all_6_0
% 174.34/27.53    (25)  all_54_2 = all_52_8
% 174.34/27.53    (26)  all_56_11 = all_52_14
% 174.34/27.53    (27)   ~ (all_52_6 = all_52_7)
% 174.34/27.53    (28)  all_56_0 = all_6_2
% 174.34/27.53    (29)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.34/27.53    (30)  all_58_30 = all_52_14
% 174.34/27.53    (31)  all_58_27 = all_52_11
% 174.34/27.53    (32)  all_58_17 = all_52_1
% 174.34/27.53    (33)  all_58_20 = e0
% 174.34/27.53    (34)  all_56_9 = all_52_12
% 174.34/27.53    (35)   ~ (all_52_2 = all_52_6)
% 174.34/27.53    (36)   ~ (all_52_6 = all_10_2)
% 174.34/27.53    (37)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 174.34/27.53    (38)   ~ (all_52_7 = all_14_2)
% 174.34/27.53    (39)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.34/27.53    (40)  all_56_1 = e0
% 174.34/27.53    (41)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.34/27.53    (42)   ~ (all_52_13 = all_14_2)
% 174.34/27.53    (43)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.34/27.53    (44)   ~ (all_52_13 = all_52_14)
% 174.34/27.53    (45)  all_58_19 = e0
% 174.34/27.53    (46)  all_58_16 = all_6_2
% 174.34/27.53    (47)  all_56_13 = all_52_7
% 174.34/27.53    (48)   ~ (all_52_12 = e0)
% 174.34/27.53    (49)  all_56_2 = all_52_1
% 174.34/27.53    (50)   ~ (e3 = e0)
% 174.34/27.53    (51)  all_58_29 = all_52_13
% 174.34/27.53    (52)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 174.34/27.53    (53)   ~ (all_52_13 = e0)
% 174.34/27.53    (54)   ~ (all_4_2 = e0)
% 174.34/27.53    (55)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 174.34/27.53    (56)   ~ (all_6_2 = e0)
% 174.34/27.53    (57)   ~ (all_52_6 = all_52_14)
% 174.34/27.53    (58)   ~ (all_52_8 = all_10_2)
% 174.34/27.53    (59)  all_56_4 = all_52_8
% 174.34/27.53    (60)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 174.34/27.53    (61)  all_58_20 = all_52_4
% 174.34/27.53    (62)  all_54_15 = all_14_2
% 174.34/27.53    (63)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 174.34/27.53    (64)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.34/27.53    (65)   ~ (all_52_8 = all_52_11)
% 174.34/27.53    (66)   ~ (all_52_8 = all_6_2)
% 174.34/27.53    (67)  all_56_6 = all_52_2
% 174.34/27.53    (68)   ~ (all_52_7 = e0)
% 174.34/27.53    (69)  all_58_24 = all_52_8
% 174.34/27.53    (70)   ~ (all_52_12 = all_52_14)
% 174.34/27.53    (71)  all_58_22 = all_52_6
% 174.34/27.53    (72)  all_56_3 = all_4_2
% 174.34/27.53    (73)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 174.34/27.53    (74)  all_54_0 = all_6_2
% 174.34/27.53    (75)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 174.34/27.53    (76)   ~ (all_52_11 = e0)
% 174.34/27.53    (77)   ~ (all_52_4 = all_52_8)
% 174.34/27.53    (78)   ~ (all_52_14 = all_14_2)
% 174.34/27.53    (79)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.34/27.53            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.34/27.53    (80)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 174.34/27.53    (81)  all_58_21 = all_4_2
% 174.34/27.53    (82)  all_56_10 = all_52_13
% 174.34/27.53    (83)   ~ (e2 = e0)
% 174.34/27.53    (84)  all_58_28 = all_52_12
% 174.34/27.53    (85)   ~ (e1 = e0)
% 174.34/27.53    (86)  all_56_7 = all_52_6
% 174.34/27.53    (87)   ~ (all_52_8 = e0)
% 174.34/27.53    (88)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 174.34/27.53    (89)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 174.34/27.53          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 174.34/27.53          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.34/27.53          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 174.34/27.53          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.34/27.53          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.34/27.53          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.34/27.53          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 174.34/27.53          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.34/27.53          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 174.34/27.53            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 174.34/27.53            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 174.34/27.53            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 174.34/27.53            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 174.34/27.53            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 174.34/27.53            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 174.34/27.53            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 174.34/27.53            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 174.34/27.53            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 174.34/27.53            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 174.34/27.53            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 174.34/27.53            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 174.34/27.53            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 174.34/27.53            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 174.34/27.53            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 174.34/27.53            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.34/27.53          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.34/27.53          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.34/27.53          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 174.34/27.53            all_58_30 = e0 & e1 = e0)
% 174.34/27.53    (90)   ~ (all_52_12 = all_52_13)
% 174.34/27.53  
% 174.34/27.53  Begin of proof
% 174.34/27.53  | 
% 174.34/27.53  | BETA: splitting (80) gives:
% 174.34/27.53  | 
% 174.34/27.53  | Case 1:
% 174.34/27.53  | | 
% 174.34/27.53  | |   (91)  all_56_9 = e0
% 174.34/27.53  | | 
% 174.34/27.53  | | REF_CLOSE: (34), (48), (91) are inconsistent by sub-proof #908.
% 174.34/27.53  | | 
% 174.34/27.53  | Case 2:
% 174.34/27.53  | | 
% 174.34/27.53  | |   (92)  all_56_10 = e0 | all_56_11 = e0
% 174.34/27.53  | | 
% 174.34/27.53  | | BETA: splitting (92) gives:
% 174.34/27.53  | | 
% 174.34/27.53  | | Case 1:
% 174.34/27.53  | | | 
% 174.34/27.53  | | |   (93)  all_56_10 = e0
% 174.34/27.53  | | | 
% 174.34/27.53  | | | REF_CLOSE: (53), (82), (93) are inconsistent by sub-proof #943.
% 174.34/27.53  | | | 
% 174.34/27.53  | | Case 2:
% 174.34/27.53  | | | 
% 174.34/27.53  | | |   (94)  all_56_11 = e0
% 174.34/27.53  | | | 
% 174.34/27.53  | | | COMBINE_EQS: (26), (94) imply:
% 174.34/27.53  | | |   (95)  all_52_14 = e0
% 174.34/27.53  | | | 
% 174.34/27.53  | | | SIMP: (95) implies:
% 174.34/27.53  | | |   (96)  all_52_14 = e0
% 174.34/27.53  | | | 
% 174.34/27.53  | | | COMBINE_EQS: (30), (96) imply:
% 174.34/27.53  | | |   (97)  all_58_30 = e0
% 174.34/27.53  | | | 
% 174.34/27.53  | | | REDUCE: (57), (96) imply:
% 174.34/27.53  | | |   (98)   ~ (all_52_6 = e0)
% 174.34/27.53  | | | 
% 174.34/27.53  | | | REDUCE: (78), (96) imply:
% 174.34/27.53  | | |   (99)   ~ (all_14_2 = e0)
% 174.34/27.53  | | | 
% 174.34/27.53  | | | SIMP: (99) implies:
% 174.34/27.53  | | |   (100)   ~ (all_14_2 = e0)
% 174.34/27.53  | | | 
% 174.34/27.53  | | | BETA: splitting (14) gives:
% 174.34/27.53  | | | 
% 174.34/27.53  | | | Case 1:
% 174.34/27.53  | | | | 
% 174.34/27.53  | | | |   (101)  all_54_3 = e0
% 174.34/27.53  | | | | 
% 174.34/27.53  | | | | COMBINE_EQS: (7), (101) imply:
% 174.34/27.53  | | | |   (102)  all_52_12 = e0
% 174.34/27.53  | | | | 
% 174.34/27.53  | | | | REDUCE: (48), (102) imply:
% 174.34/27.53  | | | |   (103)  $false
% 174.34/27.53  | | | | 
% 174.34/27.53  | | | | CLOSE: (103) is inconsistent.
% 174.34/27.53  | | | | 
% 174.34/27.53  | | | Case 2:
% 174.34/27.53  | | | | 
% 174.34/27.53  | | | |   (104)   ~ (all_54_3 = e0)
% 174.34/27.53  | | | |   (105)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 174.34/27.53  | | | | 
% 174.34/27.53  | | | | BETA: splitting (63) gives:
% 174.34/27.53  | | | | 
% 174.34/27.53  | | | | Case 1:
% 174.34/27.53  | | | | | 
% 174.34/27.53  | | | | |   (106)  all_54_2 = e0
% 174.34/27.53  | | | | | 
% 174.34/27.53  | | | | | REF_CLOSE: (25), (87), (106) are inconsistent by sub-proof #763.
% 174.34/27.53  | | | | | 
% 174.34/27.53  | | | | Case 2:
% 174.34/27.53  | | | | | 
% 174.34/27.53  | | | | |   (107)   ~ (all_54_2 = e0)
% 174.34/27.53  | | | | |   (108)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1
% 174.34/27.53  | | | | | 
% 174.34/27.53  | | | | | BETA: splitting (29) gives:
% 174.34/27.53  | | | | | 
% 174.34/27.53  | | | | | Case 1:
% 174.34/27.53  | | | | | | 
% 174.34/27.53  | | | | | |   (109)  all_58_27 = e0
% 174.34/27.53  | | | | | | 
% 174.34/27.53  | | | | | | COMBINE_EQS: (31), (109) imply:
% 174.34/27.53  | | | | | |   (110)  all_52_11 = e0
% 174.34/27.53  | | | | | | 
% 174.34/27.53  | | | | | | REDUCE: (76), (110) imply:
% 174.34/27.53  | | | | | |   (111)  $false
% 174.34/27.53  | | | | | | 
% 174.34/27.53  | | | | | | CLOSE: (111) is inconsistent.
% 174.34/27.53  | | | | | | 
% 174.34/27.53  | | | | | Case 2:
% 174.34/27.53  | | | | | | 
% 174.34/27.53  | | | | | |   (112)   ~ (all_58_27 = e0)
% 174.34/27.53  | | | | | |   (113)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.34/27.53  | | | | | | 
% 174.34/27.53  | | | | | | BETA: splitting (64) gives:
% 174.34/27.53  | | | | | | 
% 174.34/27.53  | | | | | | Case 1:
% 174.34/27.53  | | | | | | | 
% 174.34/27.53  | | | | | | |   (114)  all_58_23 = e0
% 174.34/27.53  | | | | | | | 
% 174.34/27.53  | | | | | | | COMBINE_EQS: (6), (114) imply:
% 174.34/27.53  | | | | | | |   (115)  all_52_7 = e0
% 174.34/27.53  | | | | | | | 
% 174.34/27.53  | | | | | | | REDUCE: (68), (115) imply:
% 174.34/27.53  | | | | | | |   (116)  $false
% 174.34/27.53  | | | | | | | 
% 174.34/27.53  | | | | | | | CLOSE: (116) is inconsistent.
% 174.34/27.53  | | | | | | | 
% 174.34/27.53  | | | | | | Case 2:
% 174.34/27.53  | | | | | | | 
% 174.34/27.53  | | | | | | |   (117)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.34/27.53  | | | | | | | 
% 174.34/27.53  | | | | | | | BETA: splitting (19) gives:
% 174.34/27.53  | | | | | | | 
% 174.34/27.53  | | | | | | | Case 1:
% 174.34/27.53  | | | | | | | | 
% 174.34/27.53  | | | | | | | |   (118)  all_58_31 = e0
% 174.34/27.53  | | | | | | | | 
% 174.34/27.53  | | | | | | | | COMBINE_EQS: (21), (118) imply:
% 174.34/27.53  | | | | | | | |   (119)  all_14_2 = e0
% 174.34/27.53  | | | | | | | | 
% 174.34/27.53  | | | | | | | | REDUCE: (100), (119) imply:
% 174.34/27.53  | | | | | | | |   (120)  $false
% 174.34/27.53  | | | | | | | | 
% 174.34/27.53  | | | | | | | | CLOSE: (120) is inconsistent.
% 174.34/27.53  | | | | | | | | 
% 174.34/27.53  | | | | | | | Case 2:
% 174.34/27.53  | | | | | | | | 
% 174.34/27.53  | | | | | | | |   (121)   ~ (all_58_31 = e0)
% 174.34/27.53  | | | | | | | |   (122)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.34/27.53  | | | | | | | | 
% 174.34/27.53  | | | | | | | | BETA: splitting (60) gives:
% 174.34/27.53  | | | | | | | | 
% 174.34/27.53  | | | | | | | | Case 1:
% 174.34/27.53  | | | | | | | | | 
% 174.34/27.53  | | | | | | | | |   (123)  all_56_4 = e1
% 174.34/27.53  | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | REF_CLOSE: (5), (20), (23), (58), (59), (69), (83), (113),
% 174.34/27.53  | | | | | | | | |            (123) are inconsistent by sub-proof #965.
% 174.34/27.53  | | | | | | | | | 
% 174.34/27.53  | | | | | | | | Case 2:
% 174.34/27.53  | | | | | | | | | 
% 174.34/27.53  | | | | | | | | |   (124)   ~ (all_56_4 = e1)
% 174.34/27.53  | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | REDUCE: (59), (124) imply:
% 174.34/27.53  | | | | | | | | |   (125)   ~ (all_52_8 = e1)
% 174.34/27.53  | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | BETA: splitting (73) gives:
% 174.34/27.53  | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | Case 1:
% 174.34/27.53  | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | |   (126)  all_56_0 = e1
% 174.34/27.53  | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | COMBINE_EQS: (28), (126) imply:
% 174.34/27.53  | | | | | | | | | |   (127)  all_6_2 = e1
% 174.34/27.53  | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | REDUCE: (9), (127) imply:
% 174.34/27.53  | | | | | | | | | |   (128)   ~ (all_52_12 = e1)
% 174.34/27.53  | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | REDUCE: (24), (127) imply:
% 174.34/27.53  | | | | | | | | | |   (129)  op(all_6_1, e1) = all_6_0
% 174.34/27.53  | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | REDUCE: (8), (127) imply:
% 174.34/27.53  | | | | | | | | | |   (130)  op(e1, e3) = all_6_1
% 174.34/27.53  | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | GROUND_INST: instantiating (79) with all_52_2, all_6_1, e3, e1,
% 174.34/27.53  | | | | | | | | | |              simplifying with (3), (130) gives:
% 174.34/27.53  | | | | | | | | | |   (131)  all_52_2 = all_6_1
% 174.34/27.53  | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | COMBINE_EQS: (67), (131) imply:
% 174.34/27.53  | | | | | | | | | |   (132)  all_56_6 = all_6_1
% 174.34/27.53  | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | BETA: splitting (37) gives:
% 174.34/27.53  | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | Case 1:
% 174.34/27.53  | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | |   (133)  all_56_9 = e3
% 174.34/27.53  | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | COMBINE_EQS: (34), (133) imply:
% 174.34/27.53  | | | | | | | | | | |   (134)  all_52_12 = e3
% 174.34/27.53  | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | SIMP: (134) implies:
% 174.34/27.53  | | | | | | | | | | |   (135)  all_52_12 = e3
% 174.34/27.53  | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | REDUCE: (4), (135) imply:
% 174.34/27.53  | | | | | | | | | | |   (136)   ~ (all_52_8 = e3)
% 174.34/27.53  | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | BETA: splitting (108) gives:
% 174.34/27.53  | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | Case 1:
% 174.34/27.53  | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | |   (137)  all_54_2 = e1
% 174.34/27.53  | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | REF_CLOSE: (25), (125), (137) are inconsistent by sub-proof
% 174.34/27.53  | | | | | | | | | | | |            #762.
% 174.34/27.53  | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | Case 2:
% 174.34/27.53  | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | |   (138)  all_54_2 = e3 | all_54_2 = e2
% 174.34/27.53  | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | BETA: splitting (138) gives:
% 174.34/27.53  | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | Case 1:
% 174.34/27.53  | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | |   (139)  all_54_2 = e2
% 174.34/27.53  | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | COMBINE_EQS: (25), (139) imply:
% 174.34/27.53  | | | | | | | | | | | | |   (140)  all_52_8 = e2
% 174.34/27.53  | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | SIMP: (140) implies:
% 174.34/27.53  | | | | | | | | | | | | |   (141)  all_52_8 = e2
% 174.34/27.53  | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | REDUCE: (58), (141) imply:
% 174.34/27.53  | | | | | | | | | | | | |   (142)   ~ (all_10_2 = e2)
% 174.34/27.53  | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | SIMP: (142) implies:
% 174.34/27.53  | | | | | | | | | | | | |   (143)   ~ (all_10_2 = e2)
% 174.34/27.53  | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | BETA: splitting (113) gives:
% 174.34/27.53  | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | Case 1:
% 174.34/27.53  | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | |   (144)  all_58_26 = e1
% 174.34/27.53  | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | COMBINE_EQS: (20), (144) imply:
% 174.34/27.53  | | | | | | | | | | | | | |   (145)  all_10_2 = e1
% 174.34/27.53  | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | COMBINE_EQS: (18), (145) imply:
% 174.34/27.53  | | | | | | | | | | | | | |   (146)  all_56_8 = e1
% 174.34/27.53  | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | REDUCE: (36), (145) imply:
% 174.34/27.53  | | | | | | | | | | | | | |   (147)   ~ (all_52_6 = e1)
% 174.34/27.53  | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | REDUCE: (143), (145) imply:
% 174.34/27.53  | | | | | | | | | | | | | |   (148)   ~ (e2 = e1)
% 174.34/27.53  | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | SIMP: (148) implies:
% 174.34/27.53  | | | | | | | | | | | | | |   (149)   ~ (e2 = e1)
% 174.34/27.53  | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | BETA: splitting (117) gives:
% 174.34/27.53  | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | Case 1:
% 174.34/27.53  | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | |   (150)  all_58_22 = e1
% 174.34/27.53  | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | | COMBINE_EQS: (71), (150) imply:
% 174.34/27.53  | | | | | | | | | | | | | | |   (151)  all_52_6 = e1
% 174.34/27.53  | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | | REDUCE: (147), (151) imply:
% 174.34/27.53  | | | | | | | | | | | | | | |   (152)  $false
% 174.34/27.53  | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | | CLOSE: (152) is inconsistent.
% 174.34/27.53  | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | Case 2:
% 174.34/27.53  | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | |   (153)  all_58_20 = e3 | all_58_21 = e2
% 174.34/27.53  | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 174.34/27.53  | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | | Case 1:
% 174.34/27.53  | | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | | |   (154)  all_58_21 = e2
% 174.34/27.53  | | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | | | COMBINE_EQS: (81), (154) imply:
% 174.34/27.53  | | | | | | | | | | | | | | | |   (155)  all_4_2 = e2
% 174.34/27.53  | | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | | | REDUCE: (10), (155) imply:
% 174.34/27.53  | | | | | | | | | | | | | | | |   (156)   ~ (all_52_6 = e2)
% 174.34/27.53  | | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 174.34/27.53  | | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.53  | | | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | | | |   (157)  all_56_6 = e2
% 174.34/27.53  | | | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | | | | COMBINE_EQS: (132), (157) imply:
% 174.34/27.53  | | | | | | | | | | | | | | | | |   (158)  all_6_1 = e2
% 174.34/27.53  | | | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | | | | REDUCE: (130), (158) imply:
% 174.34/27.53  | | | | | | | | | | | | | | | | |   (159)  op(e1, e3) = e2
% 174.34/27.53  | | | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (11), (79), (129), (130), (159) are
% 174.34/27.53  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #761.
% 174.34/27.53  | | | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.53  | | | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | | | |   (160)  all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 174.34/27.53  | | | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 174.34/27.53  | | | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.53  | | | | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | | | | |   (161)  all_56_7 = e2
% 174.34/27.53  | | | | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | | | | | REF_CLOSE: (86), (156), (161) are inconsistent by sub-proof
% 174.34/27.53  | | | | | | | | | | | | | | | | | |            #760.
% 174.34/27.53  | | | | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.53  | | | | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | | | | |   (162)  all_56_8 = e2 | all_56_11 = e2
% 174.34/27.53  | | | | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (94), (146), (149), (162) are inconsistent
% 174.34/27.53  | | | | | | | | | | | | | | | | | |            by sub-proof #759.
% 174.34/27.53  | | | | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | | | | End of split
% 174.34/27.53  | | | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | | | End of split
% 174.34/27.53  | | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | | Case 2:
% 174.34/27.53  | | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | | |   (163)  all_58_20 = e3
% 174.34/27.53  | | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | | | REF_CLOSE: (33), (50), (163) are inconsistent by sub-proof
% 174.34/27.53  | | | | | | | | | | | | | | | |            #948.
% 174.34/27.53  | | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | | End of split
% 174.34/27.53  | | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | End of split
% 174.34/27.53  | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | Case 2:
% 174.34/27.53  | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | |   (164)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.53  | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | | REF_CLOSE: (23), (69), (83), (136), (164) are inconsistent by
% 174.34/27.53  | | | | | | | | | | | | | |            sub-proof #849.
% 174.34/27.53  | | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | End of split
% 174.34/27.53  | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | Case 2:
% 174.34/27.53  | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | |   (165)  all_54_2 = e3
% 174.34/27.53  | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | | REF_CLOSE: (25), (136), (165) are inconsistent by sub-proof
% 174.34/27.53  | | | | | | | | | | | | |            #758.
% 174.34/27.53  | | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | | End of split
% 174.34/27.53  | | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | End of split
% 174.34/27.53  | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | Case 2:
% 174.34/27.53  | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | |   (166)   ~ (all_56_9 = e3)
% 174.34/27.53  | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | REDUCE: (34), (166) imply:
% 174.34/27.53  | | | | | | | | | | |   (167)   ~ (all_52_12 = e3)
% 174.34/27.53  | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | | REF_CLOSE: (7), (51), (84), (85), (90), (97), (105), (122),
% 174.34/27.53  | | | | | | | | | | |            (128), (167) are inconsistent by sub-proof #755.
% 174.34/27.53  | | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | End of split
% 174.34/27.53  | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | Case 2:
% 174.34/27.53  | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | |   (168)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 174.34/27.53  | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | | REF_CLOSE: (1), (4), (5), (9), (10), (12), (13), (15), (16),
% 174.34/27.53  | | | | | | | | | |            (17), (20), (21), (22), (23), (27), (28), (31),
% 174.34/27.53  | | | | | | | | | |            (32), (33), (34), (35), (36), (38), (39), (40),
% 174.34/27.53  | | | | | | | | | |            (41), (42), (43), (45), (46), (47), (48), (49),
% 174.34/27.53  | | | | | | | | | |            (50), (51), (52), (53), (56), (59), (61), (62),
% 174.34/27.53  | | | | | | | | | |            (65), (66), (67), (69), (71), (72), (74), (75),
% 174.34/27.53  | | | | | | | | | |            (76), (77), (81), (84), (85), (86), (88), (89),
% 174.34/27.53  | | | | | | | | | |            (97), (98), (100), (113), (117), (122), (125),
% 174.34/27.53  | | | | | | | | | |            (168) are inconsistent by sub-proof #737.
% 174.34/27.53  | | | | | | | | | | 
% 174.34/27.53  | | | | | | | | | End of split
% 174.34/27.53  | | | | | | | | | 
% 174.34/27.53  | | | | | | | | End of split
% 174.34/27.53  | | | | | | | | 
% 174.34/27.53  | | | | | | | End of split
% 174.34/27.53  | | | | | | | 
% 174.34/27.53  | | | | | | End of split
% 174.34/27.53  | | | | | | 
% 174.34/27.53  | | | | | End of split
% 174.34/27.53  | | | | | 
% 174.34/27.53  | | | | End of split
% 174.34/27.53  | | | | 
% 174.34/27.53  | | | End of split
% 174.34/27.53  | | | 
% 174.34/27.53  | | End of split
% 174.34/27.53  | | 
% 174.34/27.53  | End of split
% 174.34/27.53  | 
% 174.34/27.53  End of proof
% 174.34/27.53  
% 174.34/27.53  Sub-proof #737 shows that the following formulas are inconsistent:
% 174.34/27.53  ----------------------------------------------------------------
% 174.34/27.53    (1)   ~ (all_52_12 = all_14_2)
% 174.34/27.53    (2)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.34/27.53    (3)   ~ (all_52_8 = e1)
% 174.34/27.53    (4)   ~ (all_52_8 = all_52_12)
% 174.34/27.53    (5)   ~ (e3 = e1)
% 174.34/27.53    (6)   ~ (all_52_12 = all_6_2)
% 174.34/27.53    (7)   ~ (all_52_6 = all_4_2)
% 174.34/27.53    (8)  all_56_15 = all_14_2
% 174.34/27.53    (9)   ~ (all_52_11 = all_14_2)
% 174.34/27.53    (10)   ~ (all_14_2 = e0)
% 174.34/27.53    (11)  all_56_14 = all_52_11
% 174.34/27.53    (12)   ~ (all_52_13 = all_4_2)
% 174.34/27.53    (13)  all_56_12 = e0
% 174.34/27.53    (14)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.34/27.53    (15)  all_58_30 = e0
% 174.34/27.53    (16)  all_58_26 = all_10_2
% 174.34/27.53    (17)  all_58_31 = all_14_2
% 174.34/27.53    (18)   ~ (all_52_11 = all_10_2)
% 174.34/27.53    (19)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 174.34/27.53    (20)  all_58_25 = e0
% 174.34/27.53    (21)   ~ (all_52_6 = all_52_7)
% 174.34/27.53    (22)  all_56_0 = all_6_2
% 174.34/27.53    (23)  all_58_27 = all_52_11
% 174.34/27.53    (24)  all_58_17 = all_52_1
% 174.34/27.53    (25)  all_58_20 = e0
% 174.34/27.53    (26)  all_56_9 = all_52_12
% 174.34/27.53    (27)   ~ (all_52_2 = all_52_6)
% 174.34/27.53    (28)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.34/27.53    (29)   ~ (all_52_6 = all_10_2)
% 174.34/27.53    (30)   ~ (all_52_7 = all_14_2)
% 174.34/27.53    (31)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.34/27.53    (32)  all_56_1 = e0
% 174.34/27.53    (33)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.34/27.53    (34)   ~ (all_52_13 = all_14_2)
% 174.34/27.53    (35)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.34/27.53    (36)  all_58_19 = e0
% 174.34/27.53    (37)  all_58_16 = all_6_2
% 174.34/27.53    (38)  all_56_13 = all_52_7
% 174.34/27.53    (39)   ~ (all_52_12 = e0)
% 174.34/27.53    (40)  all_56_2 = all_52_1
% 174.34/27.53    (41)   ~ (e3 = e0)
% 174.34/27.53    (42)  all_58_29 = all_52_13
% 174.34/27.53    (43)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 174.34/27.53    (44)   ~ (all_52_13 = e0)
% 174.34/27.53    (45)   ~ (all_6_2 = e0)
% 174.34/27.53    (46)  all_56_4 = all_52_8
% 174.34/27.53    (47)  all_58_20 = all_52_4
% 174.34/27.53    (48)  all_54_15 = all_14_2
% 174.34/27.53    (49)   ~ (all_52_8 = all_52_11)
% 174.34/27.53    (50)   ~ (all_52_8 = all_6_2)
% 174.34/27.53    (51)  all_56_6 = all_52_2
% 174.34/27.53    (52)  all_58_24 = all_52_8
% 174.34/27.53    (53)  all_58_22 = all_52_6
% 174.34/27.53    (54)  all_56_3 = all_4_2
% 174.34/27.53    (55)  all_54_0 = all_6_2
% 174.34/27.53    (56)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1
% 174.34/27.53    (57)   ~ (all_52_11 = e0)
% 174.34/27.53    (58)   ~ (all_52_4 = all_52_8)
% 174.34/27.53    (59)   ~ (all_52_6 = e0)
% 174.34/27.53    (60)  all_58_21 = all_4_2
% 174.34/27.53    (61)  all_58_28 = all_52_12
% 174.34/27.53    (62)   ~ (e1 = e0)
% 174.34/27.53    (63)  all_56_7 = all_52_6
% 174.34/27.53    (64)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 174.34/27.53    (65)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 174.34/27.53          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 174.34/27.53          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.34/27.53          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 174.34/27.53          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.34/27.53          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.34/27.53          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.34/27.53          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 174.34/27.53          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.34/27.53          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 174.34/27.53            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 174.34/27.53            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 174.34/27.53            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 174.34/27.53            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 174.34/27.53            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 174.34/27.53            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 174.34/27.53            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 174.34/27.53            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 174.34/27.53            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 174.34/27.53            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 174.34/27.53            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 174.34/27.53            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 174.34/27.53            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 174.34/27.53            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 174.34/27.53            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 174.34/27.53            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.34/27.53          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.34/27.53          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.34/27.53          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 174.34/27.53            all_58_30 = e0 & e1 = e0)
% 174.34/27.53  
% 174.34/27.53  Begin of proof
% 174.34/27.53  | 
% 174.34/27.53  | BETA: splitting (19) gives:
% 174.34/27.53  | 
% 174.34/27.53  | Case 1:
% 174.34/27.53  | | 
% 174.34/27.53  | |   (66)  all_56_1 = e1
% 174.34/27.53  | | 
% 174.34/27.53  | | REF_CLOSE: (32), (62), (66) are inconsistent by sub-proof #754.
% 174.34/27.53  | | 
% 174.34/27.53  | Case 2:
% 174.34/27.53  | | 
% 174.34/27.53  | |   (67)  all_56_4 = e1 | all_56_9 = e1
% 174.34/27.53  | | 
% 174.34/27.53  | | BETA: splitting (67) gives:
% 174.34/27.53  | | 
% 174.34/27.53  | | Case 1:
% 174.34/27.53  | | | 
% 174.34/27.53  | | |   (68)  all_56_4 = e1
% 174.34/27.53  | | | 
% 174.34/27.53  | | | COMBINE_EQS: (46), (68) imply:
% 174.34/27.53  | | |   (69)  all_52_8 = e1
% 174.34/27.53  | | | 
% 174.34/27.53  | | | REDUCE: (3), (69) imply:
% 174.34/27.53  | | |   (70)  $false
% 174.34/27.53  | | | 
% 174.34/27.53  | | | CLOSE: (70) is inconsistent.
% 174.34/27.54  | | | 
% 174.34/27.54  | | Case 2:
% 174.34/27.54  | | | 
% 174.34/27.54  | | |   (71)  all_56_9 = e1
% 174.34/27.54  | | | 
% 174.34/27.54  | | | COMBINE_EQS: (26), (71) imply:
% 174.34/27.54  | | |   (72)  all_52_12 = e1
% 174.34/27.54  | | | 
% 174.34/27.54  | | | SIMP: (72) implies:
% 174.34/27.54  | | |   (73)  all_52_12 = e1
% 174.34/27.54  | | | 
% 174.34/27.54  | | | COMBINE_EQS: (61), (73) imply:
% 174.34/27.54  | | |   (74)  all_58_28 = e1
% 174.34/27.54  | | | 
% 174.34/27.54  | | | REDUCE: (1), (73) imply:
% 174.34/27.54  | | |   (75)   ~ (all_14_2 = e1)
% 174.34/27.54  | | | 
% 174.34/27.54  | | | SIMP: (75) implies:
% 174.34/27.54  | | |   (76)   ~ (all_14_2 = e1)
% 174.34/27.54  | | | 
% 174.34/27.54  | | | REDUCE: (6), (73) imply:
% 174.34/27.54  | | |   (77)   ~ (all_6_2 = e1)
% 174.34/27.54  | | | 
% 174.34/27.54  | | | SIMP: (77) implies:
% 174.34/27.54  | | |   (78)   ~ (all_6_2 = e1)
% 174.34/27.54  | | | 
% 174.34/27.54  | | | BETA: splitting (14) gives:
% 174.34/27.54  | | | 
% 174.34/27.54  | | | Case 1:
% 174.34/27.54  | | | | 
% 174.34/27.54  | | | |   (79)  all_58_30 = e1
% 174.34/27.54  | | | | 
% 174.34/27.54  | | | | COMBINE_EQS: (15), (79) imply:
% 174.34/27.54  | | | |   (80)  e1 = e0
% 174.34/27.54  | | | | 
% 174.34/27.54  | | | | SIMP: (80) implies:
% 174.34/27.54  | | | |   (81)  e1 = e0
% 174.34/27.54  | | | | 
% 174.34/27.54  | | | | COMBINE_EQS: (71), (81) imply:
% 174.34/27.54  | | | |   (82)  all_56_9 = e0
% 174.34/27.54  | | | | 
% 174.34/27.54  | | | | REF_CLOSE: (3), (46), (62), (67), (82) are inconsistent by sub-proof
% 174.34/27.54  | | | |            #753.
% 174.34/27.54  | | | | 
% 174.34/27.54  | | | Case 2:
% 174.34/27.54  | | | | 
% 174.34/27.54  | | | |   (83)  all_58_28 = e3 | all_58_29 = e2
% 174.34/27.54  | | | | 
% 174.34/27.54  | | | | BETA: splitting (83) gives:
% 174.34/27.54  | | | | 
% 174.34/27.54  | | | | Case 1:
% 174.34/27.54  | | | | | 
% 174.34/27.54  | | | | |   (84)  all_58_29 = e2
% 174.34/27.54  | | | | | 
% 174.34/27.54  | | | | | COMBINE_EQS: (42), (84) imply:
% 174.34/27.54  | | | | |   (85)  all_52_13 = e2
% 174.34/27.54  | | | | | 
% 174.34/27.54  | | | | | REDUCE: (34), (85) imply:
% 174.34/27.54  | | | | |   (86)   ~ (all_14_2 = e2)
% 174.34/27.54  | | | | | 
% 174.34/27.54  | | | | | SIMP: (86) implies:
% 174.34/27.54  | | | | |   (87)   ~ (all_14_2 = e2)
% 174.34/27.54  | | | | | 
% 174.34/27.54  | | | | | REDUCE: (12), (85) imply:
% 174.34/27.54  | | | | |   (88)   ~ (all_4_2 = e2)
% 174.34/27.54  | | | | | 
% 174.34/27.54  | | | | | SIMP: (88) implies:
% 174.34/27.54  | | | | |   (89)   ~ (all_4_2 = e2)
% 174.34/27.54  | | | | | 
% 174.34/27.54  | | | | | REDUCE: (44), (85) imply:
% 174.34/27.54  | | | | |   (90)   ~ (e2 = e0)
% 174.34/27.54  | | | | | 
% 174.34/27.54  | | | | | BETA: splitting (56) gives:
% 174.34/27.54  | | | | | 
% 174.34/27.54  | | | | | Case 1:
% 174.34/27.54  | | | | | | 
% 174.34/27.54  | | | | | |   (91)  all_54_15 = e1
% 174.34/27.54  | | | | | | 
% 174.34/27.54  | | | | | | REF_CLOSE: (48), (76), (91) are inconsistent by sub-proof #752.
% 174.34/27.54  | | | | | | 
% 174.34/27.54  | | | | | Case 2:
% 174.34/27.54  | | | | | | 
% 174.34/27.54  | | | | | |   (92)   ~ (all_54_15 = e1)
% 174.34/27.54  | | | | | |   (93)  all_54_15 = e3 | all_54_15 = e2
% 174.34/27.54  | | | | | | 
% 174.34/27.54  | | | | | | BETA: splitting (2) gives:
% 174.34/27.54  | | | | | | 
% 174.34/27.54  | | | | | | Case 1:
% 174.34/27.54  | | | | | | | 
% 174.34/27.54  | | | | | | |   (94)  all_58_22 = e1
% 174.34/27.54  | | | | | | | 
% 174.34/27.54  | | | | | | | COMBINE_EQS: (53), (94) imply:
% 174.34/27.54  | | | | | | |   (95)  all_52_6 = e1
% 174.34/27.54  | | | | | | | 
% 174.34/27.54  | | | | | | | COMBINE_EQS: (63), (95) imply:
% 174.34/27.54  | | | | | | |   (96)  all_56_7 = e1
% 174.34/27.54  | | | | | | | 
% 174.34/27.54  | | | | | | | REDUCE: (27), (95) imply:
% 174.34/27.54  | | | | | | |   (97)   ~ (all_52_2 = e1)
% 174.34/27.54  | | | | | | | 
% 174.34/27.54  | | | | | | | REDUCE: (21), (95) imply:
% 174.34/27.54  | | | | | | |   (98)   ~ (all_52_7 = e1)
% 174.34/27.54  | | | | | | | 
% 174.34/27.54  | | | | | | | SIMP: (98) implies:
% 174.34/27.54  | | | | | | |   (99)   ~ (all_52_7 = e1)
% 174.34/27.54  | | | | | | | 
% 174.34/27.54  | | | | | | | REDUCE: (29), (95) imply:
% 174.34/27.54  | | | | | | |   (100)   ~ (all_10_2 = e1)
% 174.34/27.54  | | | | | | | 
% 174.34/27.54  | | | | | | | SIMP: (100) implies:
% 174.34/27.54  | | | | | | |   (101)   ~ (all_10_2 = e1)
% 174.34/27.54  | | | | | | | 
% 174.34/27.54  | | | | | | | REDUCE: (7), (95) imply:
% 174.34/27.54  | | | | | | |   (102)   ~ (all_4_2 = e1)
% 174.34/27.54  | | | | | | | 
% 174.34/27.54  | | | | | | | SIMP: (102) implies:
% 174.34/27.54  | | | | | | |   (103)   ~ (all_4_2 = e1)
% 174.34/27.54  | | | | | | | 
% 174.34/27.54  | | | | | | | BETA: splitting (35) gives:
% 174.34/27.54  | | | | | | | 
% 174.34/27.54  | | | | | | | Case 1:
% 174.34/27.54  | | | | | | | | 
% 174.34/27.54  | | | | | | | |   (104)  all_56_0 = e1
% 174.34/27.54  | | | | | | | | 
% 174.34/27.54  | | | | | | | | COMBINE_EQS: (22), (104) imply:
% 174.34/27.54  | | | | | | | |   (105)  all_6_2 = e1
% 174.34/27.54  | | | | | | | | 
% 174.34/27.54  | | | | | | | | REDUCE: (78), (105) imply:
% 174.34/27.54  | | | | | | | |   (106)  $false
% 174.34/27.54  | | | | | | | | 
% 174.34/27.54  | | | | | | | | CLOSE: (106) is inconsistent.
% 174.34/27.54  | | | | | | | | 
% 174.34/27.54  | | | | | | | Case 2:
% 174.34/27.54  | | | | | | | | 
% 174.34/27.54  | | | | | | | |   (107)   ~ (all_56_0 = e1)
% 174.34/27.54  | | | | | | | |   (108)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.34/27.54  | | | | | | | | 
% 174.34/27.54  | | | | | | | | BETA: splitting (108) gives:
% 174.34/27.54  | | | | | | | | 
% 174.34/27.54  | | | | | | | | Case 1:
% 174.34/27.54  | | | | | | | | | 
% 174.34/27.54  | | | | | | | | |   (109)  all_56_2 = e1
% 174.34/27.54  | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | COMBINE_EQS: (40), (109) imply:
% 174.34/27.54  | | | | | | | | |   (110)  all_52_1 = e1
% 174.34/27.54  | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | COMBINE_EQS: (24), (110) imply:
% 174.34/27.54  | | | | | | | | |   (111)  all_58_17 = e1
% 174.34/27.54  | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | BETA: splitting (93) gives:
% 174.34/27.54  | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | Case 1:
% 174.34/27.54  | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | |   (112)  all_54_15 = e2
% 174.34/27.54  | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | COMBINE_EQS: (48), (112) imply:
% 174.34/27.54  | | | | | | | | | |   (113)  all_14_2 = e2
% 174.34/27.54  | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | REDUCE: (87), (113) imply:
% 174.34/27.54  | | | | | | | | | |   (114)  $false
% 174.34/27.54  | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | CLOSE: (114) is inconsistent.
% 174.34/27.54  | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | Case 2:
% 174.34/27.54  | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | |   (115)  all_54_15 = e3
% 174.34/27.54  | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | COMBINE_EQS: (48), (115) imply:
% 174.34/27.54  | | | | | | | | | |   (116)  all_14_2 = e3
% 174.34/27.54  | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | COMBINE_EQS: (8), (116) imply:
% 174.34/27.54  | | | | | | | | | |   (117)  all_56_15 = e3
% 174.34/27.54  | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | COMBINE_EQS: (17), (116) imply:
% 174.34/27.54  | | | | | | | | | |   (118)  all_58_31 = e3
% 174.34/27.54  | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | REDUCE: (30), (116) imply:
% 174.34/27.54  | | | | | | | | | |   (119)   ~ (all_52_7 = e3)
% 174.34/27.54  | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | REDUCE: (9), (116) imply:
% 174.34/27.54  | | | | | | | | | |   (120)   ~ (all_52_11 = e3)
% 174.34/27.54  | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | BETA: splitting (64) gives:
% 174.34/27.54  | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | Case 1:
% 174.34/27.54  | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | |   (121)  all_56_12 = e1
% 174.34/27.54  | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | COMBINE_EQS: (13), (121) imply:
% 174.34/27.54  | | | | | | | | | | |   (122)  e1 = e0
% 174.34/27.54  | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | COMBINE_EQS: (94), (122) imply:
% 174.34/27.54  | | | | | | | | | | |   (123)  all_58_22 = e0
% 174.34/27.54  | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | REF_CLOSE: (2), (16), (20), (28), (47), (52), (58), (60),
% 174.34/27.54  | | | | | | | | | | |            (62), (89), (90), (101), (123) are inconsistent by
% 174.34/27.54  | | | | | | | | | | |            sub-proof #750.
% 174.34/27.54  | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | Case 2:
% 174.34/27.54  | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | |   (124)  all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 174.34/27.54  | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | BETA: splitting (65) gives:
% 174.34/27.54  | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | Case 1:
% 174.34/27.54  | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | |   (125)  all_58_31 = e0
% 174.34/27.54  | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | COMBINE_EQS: (118), (125) imply:
% 174.34/27.54  | | | | | | | | | | | |   (126)  e3 = e0
% 174.34/27.54  | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | REDUCE: (41), (126) imply:
% 174.34/27.54  | | | | | | | | | | | |   (127)  $false
% 174.34/27.54  | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | CLOSE: (127) is inconsistent.
% 174.34/27.54  | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | Case 2:
% 174.34/27.54  | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | |   (128)   ~ (all_58_31 = e0)
% 174.34/27.54  | | | | | | | | | | | |   (129)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 |
% 174.34/27.54  | | | | | | | | | | | |          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 174.34/27.54  | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 174.34/27.54  | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.34/27.54  | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 174.34/27.54  | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 174.34/27.54  | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.34/27.54  | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 174.34/27.54  | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 174.34/27.54  | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.34/27.54  | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 174.34/27.54  | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 174.34/27.54  | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.34/27.54  | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 174.34/27.54  | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 174.34/27.54  | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 174.34/27.54  | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 174.34/27.54  | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 174.34/27.54  | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 174.34/27.54  | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 174.34/27.54  | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 174.34/27.54  | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 174.34/27.54  | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 174.34/27.54  | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 174.34/27.54  | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.34/27.54  | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.34/27.54  | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 174.34/27.54  | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.34/27.54  | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.34/27.54  | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 174.34/27.54  | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.34/27.54  | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.34/27.54  | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 174.34/27.54  | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 174.34/27.54  | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 174.34/27.54  | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 174.34/27.54  | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 174.34/27.54  | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.34/27.54  | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 174.34/27.54  | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 174.34/27.54  | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.34/27.54  | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 174.34/27.54  | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.34/27.54  | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | BETA: splitting (129) gives:
% 174.34/27.54  | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | Case 1:
% 174.34/27.54  | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | |   (130)  all_58_26 = e1
% 174.34/27.54  | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | REF_CLOSE: (16), (101), (130) are inconsistent by sub-proof
% 174.34/27.54  | | | | | | | | | | | | |            #968.
% 174.34/27.54  | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | Case 2:
% 174.34/27.54  | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | |   (131)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3
% 174.34/27.54  | | | | | | | | | | | | |            & all_58_18 = e1 & all_58_20 = e3 & all_58_24 =
% 174.34/27.54  | | | | | | | | | | | | |            e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 174.34/27.54  | | | | | | | | | | | | |            all_58_20 = e3 & all_58_28 = e0) | (all_58_17 =
% 174.34/27.54  | | | | | | | | | | | | |            e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25
% 174.34/27.54  | | | | | | | | | | | | |            = e2) | (all_58_17 = e3 & all_58_20 = e3 &
% 174.34/27.54  | | | | | | | | | | | | |            all_58_23 = e2 & all_58_29 = e2) | (all_58_17 =
% 174.34/27.54  | | | | | | | | | | | | |            e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24
% 174.34/27.54  | | | | | | | | | | | | |            = e3) | (all_58_17 = e2 & all_58_19 = e3 &
% 174.34/27.54  | | | | | | | | | | | | |            all_58_20 = e2 & all_58_28 = e3) | (all_58_17 =
% 174.34/27.54  | | | | | | | | | | | | |            e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25
% 174.34/27.54  | | | | | | | | | | | | |            = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 174.34/27.54  | | | | | | | | | | | | |            all_58_23 = e0 & all_58_29 = e0) | (all_58_17 =
% 174.34/27.54  | | | | | | | | | | | | |            e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3
% 174.34/27.54  | | | | | | | | | | | | |            & all_58_19 = e0 & all_58_24 = e3 & all_58_28 =
% 174.34/27.54  | | | | | | | | | | | | |            e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 174.34/27.54  | | | | | | | | | | | | |            all_58_24 = e3 & all_58_25 = e1) | (all_58_18 =
% 174.34/27.54  | | | | | | | | | | | | |            e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30
% 174.34/27.54  | | | | | | | | | | | | |            = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 174.34/27.54  | | | | | | | | | | | | |            all_58_24 = e1 & all_58_28 = e3) | (all_58_18 =
% 174.34/27.54  | | | | | | | | | | | | |            e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25
% 174.34/27.54  | | | | | | | | | | | | |            = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 174.34/27.54  | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_18 =
% 174.34/27.54  | | | | | | | | | | | | |            e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3
% 174.34/27.54  | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_28 = e3 & all_58_29 =
% 174.34/27.54  | | | | | | | | | | | | |            e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 174.34/27.54  | | | | | | | | | | | | |            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 =
% 174.34/27.54  | | | | | | | | | | | | |            e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29
% 174.34/27.54  | | | | | | | | | | | | |            = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 174.34/27.54  | | | | | | | | | | | | |            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 =
% 174.34/27.54  | | | | | | | | | | | | |            e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2
% 174.34/27.54  | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_25 = e2 & all_58_29 =
% 174.34/27.54  | | | | | | | | | | | | |            e0) | (all_58_22 = e2 & all_58_25 = e2 &
% 174.34/27.54  | | | | | | | | | | | | |            all_58_27 = e1 & all_58_30 = e1) | (all_58_22 =
% 174.34/27.54  | | | | | | | | | | | | |            e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29
% 174.34/27.54  | | | | | | | | | | | | |            = e2) | (all_58_22 = e1 & all_58_25 = e1 &
% 174.34/27.54  | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_22 =
% 174.34/27.54  | | | | | | | | | | | | |            e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 = e2
% 174.34/27.54  | | | | | | | | | | | | |            & all_58_27 = e0 & all_58_29 = e2 & all_58_30 =
% 174.34/27.54  | | | | | | | | | | | | |            e0) | (all_58_23 = e0 & all_58_27 = e1 &
% 174.34/27.54  | | | | | | | | | | | | |            all_58_29 = e0 & all_58_30 = e1) | (all_58_23 =
% 174.34/27.54  | | | | | | | | | | | | |            e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0
% 174.34/27.54  | | | | | | | | | | | | |            & all_58_30 = e0 & e1 = e0)
% 174.34/27.54  | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | BETA: splitting (43) gives:
% 174.34/27.54  | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | Case 1:
% 174.34/27.54  | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | |   (132)  all_56_1 = e3
% 174.34/27.54  | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | REF_CLOSE: (32), (41), (132) are inconsistent by sub-proof
% 174.34/27.54  | | | | | | | | | | | | | |            #749.
% 174.34/27.54  | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | Case 2:
% 174.34/27.54  | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | |   (133)  all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 174.34/27.54  | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | BETA: splitting (133) gives:
% 174.34/27.54  | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | Case 1:
% 174.34/27.54  | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | |   (134)  all_56_3 = e3
% 174.34/27.54  | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | COMBINE_EQS: (54), (134) imply:
% 174.34/27.54  | | | | | | | | | | | | | | |   (135)  all_4_2 = e3
% 174.34/27.54  | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | COMBINE_EQS: (60), (135) imply:
% 174.34/27.54  | | | | | | | | | | | | | | |   (136)  all_58_21 = e3
% 174.34/27.54  | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | BETA: splitting (124) gives:
% 174.34/27.54  | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | Case 1:
% 174.34/27.54  | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | |   (137)  all_56_13 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | REF_CLOSE: (38), (99), (137) are inconsistent by sub-proof
% 174.34/27.54  | | | | | | | | | | | | | | | |            #748.
% 174.34/27.54  | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | Case 2:
% 174.34/27.54  | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | |   (138)  all_56_14 = e1 | all_56_15 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | BETA: splitting (138) gives:
% 174.34/27.54  | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.54  | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | |   (139)  all_56_14 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | COMBINE_EQS: (11), (139) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | |   (140)  all_52_11 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | SIMP: (140) implies:
% 174.34/27.54  | | | | | | | | | | | | | | | | |   (141)  all_52_11 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | COMBINE_EQS: (23), (141) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | |   (142)  all_58_27 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | REDUCE: (120), (141) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | |   (143)   ~ (e3 = e1)
% 174.34/27.54  | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | BETA: splitting (28) gives:
% 174.34/27.54  | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | |   (144)  all_58_26 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16), (144) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | | |   (145)  all_10_2 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | REDUCE: (101), (145) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | | |   (146)  $false
% 174.34/27.54  | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | CLOSE: (146) is inconsistent.
% 174.34/27.54  | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | |   (147)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | |   (148)  all_58_25 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20), (148) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | |   (149)  e2 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | SIMP: (149) implies:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | |   (150)  e2 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (84), (150) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | |   (151)  all_58_29 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (74), (83), (90), (151) are inconsistent by
% 174.34/27.54  | | | | | | | | | | | | | | | | | | |            sub-proof #747.
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | |   (152)  all_58_24 = e3
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (52), (152) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | |   (153)  all_52_8 = e3
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | REDUCE: (50), (153) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | |   (154)   ~ (all_6_2 = e3)
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | SIMP: (154) implies:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | |   (155)   ~ (all_6_2 = e3)
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | BETA: splitting (33) gives:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | |   (156)  all_56_0 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22), (156) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | |   (157)  all_6_2 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (37), (157) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | |   (158)  all_58_16 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | REDUCE: (155), (157) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | |   (159)   ~ (e3 = e2)
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | SIMP: (159) implies:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | |   (160)   ~ (e3 = e2)
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |   (161)  all_58_21 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (136), (160), (161) are inconsistent by sub-proof
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            #746.
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |   (162)   ~ (all_58_21 = e2)
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |   (163)  all_58_16 = e3 | (all_58_17 = e3 & all_58_18 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            & all_58_20 = e3 & all_58_24 = e1) | (all_58_17
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0) | (all_58_17 = e3 & all_58_20 =
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_22 = e2 & all_58_25 = e2) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_18 = e1 & all_58_24
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 =
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e3 & all_58_29 = e0) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_19 = e0 & all_58_23
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_19 = e0 & all_58_28
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            = e0 & e3 = e0) | (all_58_22 = e2 & all_58_23 =
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_25 = e2 & all_58_29 = e0) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |   (164)  all_58_16 = e3
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (158), (164) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |   (165)  e3 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (165) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |   (166)  $false
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (166) is inconsistent.
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |   (167)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | |   (168)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | |   (169)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |   (170)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2)
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | |   (171)  all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (171) implies:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | |   (172)  all_58_24 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (20), (90), (147), (172) are inconsistent by
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #967.
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | |   (173)  (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_17 = e3 & all_58_20
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_22 = e2 & all_58_25 = e2)
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (173) gives:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (174)  all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (174) implies:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (175)  all_58_20 = e3
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (176)  all_58_17 = e3
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (111), (176) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (177)  e3 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25), (175) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (178)  e3 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (20), (47), (52), (58), (60), (62), (89),
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (94), (147), (177), (178) are inconsistent
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #744.
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (179)  all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 &
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (179) implies:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (180)  all_58_25 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (181)  all_58_22 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (20), (47), (52), (58), (60), (62), (89),
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (147), (180), (181) are inconsistent by
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #743.
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |   (182)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | |   (183)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3)
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (184)  all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (184) implies:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (185)  all_58_20 = e3
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (186)  all_58_17 = e3
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (111), (186) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (187)  e3 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25), (185) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (188)  e3 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (187), (188) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (189)  e1 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (94), (189) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (190)  all_58_22 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (20), (47), (52), (58), (60), (62), (89),
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (147), (190) are inconsistent by sub-proof
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #745.
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (191)  all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e3
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (191) implies:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (192)  all_58_20 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (193)  all_58_17 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (111), (193) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (194)  e2 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25), (192) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (195)  e2 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (194), (195) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (196)  e1 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (196) implies:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (197)  e1 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (94), (197) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (198)  all_58_22 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (20), (47), (52), (58), (60), (62), (89),
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (147), (198) are inconsistent by sub-proof
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #745.
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | |   (199)  (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (200)  all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 &
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (200) implies:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (201)  all_58_20 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (202)  all_58_17 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (20), (25), (47), (52), (58), (60), (62),
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (90), (94), (111), (147), (201), (202) are
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #742.
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (203)  all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (203) implies:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (204)  all_58_25 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (205)  all_58_20 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (206)  all_58_17 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (111), (206) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (207)  e2 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25), (205) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (208)  e2 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (207), (208) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (209)  e1 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (209) implies:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (210)  e1 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (94), (210) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  all_58_22 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (20), (47), (52), (58), (60), (62), (89),
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (147), (211) are inconsistent by sub-proof
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #745.
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | |   (212)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0)
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2)
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (215)  all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (215) implies:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (216)  all_58_29 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (74), (83), (90), (216) are inconsistent by
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #747.
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (217)  all_58_17 = e2 & all_58_20 = e2 & e3 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (217) implies:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (218)  all_58_20 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (219)  all_58_17 = e2
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (20), (25), (47), (52), (58), (60), (62),
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (90), (94), (111), (147), (218), (219) are
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #742.
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | |   (220)  (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1)
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)  all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (221) implies:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  all_58_28 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (74), (222) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  e1 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (94), (223) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)  all_58_22 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (20), (47), (52), (58), (60), (62), (89),
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (147), (224) are inconsistent by sub-proof
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #745.
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 &
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (225) implies:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  all_58_25 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (20), (47), (52), (58), (60), (62), (89),
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (94), (147), (226) are inconsistent by
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #741.
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |   (227)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3)
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)  all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (229) implies:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)  all_58_30 = e1
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15), (230) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)  e1 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (94), (231) imply:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  all_58_22 = e0
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (20), (47), (52), (58), (60), (62), (89),
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (147), (232) are inconsistent by sub-proof
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #745.
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (233) implies:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  all_58_24 = e1
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (20), (90), (147), (234) are inconsistent by
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #967.
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (20), (90), (147), (235) are inconsistent by
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #740.
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | |   (236)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | |   (237)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (238)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (239)  all_58_18 = e1 & all_58_24 = e1 & e3 = e1
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (239) implies:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  all_58_24 = e1
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (20), (90), (147), (240) are inconsistent by
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #967.
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (241)  (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (242)  all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (242) implies:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (243)  all_58_29 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (74), (83), (90), (243) are inconsistent by
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #747.
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (244)  all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (244) implies:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (245)  all_58_28 = e3
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (246)  all_58_19 = e3
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (36), (246) imply:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (247)  e3 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (247) implies:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  e3 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (74), (245) imply:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  e3 = e1
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (249) implies:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  e3 = e1
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (20), (47), (52), (58), (60), (62), (89),
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (94), (147), (248), (250) are inconsistent
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #744.
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (251)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1)
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (253) implies:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  all_58_28 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (20), (47), (52), (58), (60), (62), (74),
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (90), (94), (147), (254) are inconsistent by
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #739.
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (255) implies:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  all_58_30 = e1
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15), (256) imply:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  e1 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (94), (257) imply:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  all_58_22 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (20), (47), (52), (58), (60), (62), (89),
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (147), (258) are inconsistent by sub-proof
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #745.
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  all_58_19 = e0 & all_58_28 = e0 & e3 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (260) implies:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  all_58_28 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (20), (47), (52), (58), (60), (62), (74),
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (90), (94), (147), (261) are inconsistent by
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #739.
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (262) implies:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  all_58_29 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (74), (83), (90), (263) are inconsistent by
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #747.
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | |   (264)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2)
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (266) gives:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (267) implies:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  all_58_25 = e2
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  all_58_22 = e2
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (20), (47), (52), (58), (60), (62), (89),
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (147), (268), (269) are inconsistent by
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #743.
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (270) implies:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  all_58_25 = e1
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (20), (47), (52), (58), (60), (62), (89),
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (94), (147), (271) are inconsistent by
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #741.
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)  (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (273) implies:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  all_58_27 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)  all_58_25 = e1
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (142), (274) imply:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)  e1 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (94), (276) imply:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)  all_58_22 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (20), (47), (52), (58), (60), (62), (89),
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (147), (277) are inconsistent by sub-proof
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #745.
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  all_58_22 = e1 & all_58_25 = e1 & e2 = e1
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (278) implies:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  all_58_25 = e1
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (20), (47), (52), (58), (60), (62), (89),
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (94), (147), (279) are inconsistent by
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #741.
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1)
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (282) implies:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  all_58_27 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (142), (283) imply:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  e1 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (94), (284) imply:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  all_58_22 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (20), (47), (52), (58), (60), (62), (89),
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (147), (285) are inconsistent by sub-proof
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #745.
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (286) implies:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  all_58_29 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (74), (83), (90), (287) are inconsistent by
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #747.
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (288) gives:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  all_58_23 = e0 & all_58_29 = e0 & e2 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (289) implies:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  all_58_29 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (74), (83), (90), (290) are inconsistent by
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #747.
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  all_58_27 = e0 & all_58_30 = e0 & e1 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (291) implies:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  all_58_27 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (142), (292) imply:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  e1 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (94), (293) imply:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  all_58_22 = e0
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (20), (47), (52), (58), (60), (62), (89),
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (147), (294) are inconsistent by sub-proof
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #745.
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | |   (295)   ~ (all_56_0 = e2)
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (295) imply:
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | |   (296)   ~ (all_6_2 = e2)
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (55), (78), (155), (296) are inconsistent by
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | |            sub-proof #848.
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.55  | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | |   (297)  all_56_15 = e1
% 174.34/27.55  | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | COMBINE_EQS: (117), (297) imply:
% 174.34/27.55  | | | | | | | | | | | | | | | | |   (298)  e3 = e1
% 174.34/27.55  | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | SIMP: (298) implies:
% 174.34/27.55  | | | | | | | | | | | | | | | | |   (299)  e3 = e1
% 174.34/27.55  | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | REDUCE: (5), (299) imply:
% 174.34/27.55  | | | | | | | | | | | | | | | | |   (300)  $false
% 174.34/27.55  | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | | CLOSE: (300) is inconsistent.
% 174.34/27.55  | | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | Case 2:
% 174.34/27.55  | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | |   (301)  all_56_7 = e3 | all_56_13 = e3
% 174.34/27.55  | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | | REF_CLOSE: (5), (38), (96), (119), (301) are inconsistent by
% 174.34/27.55  | | | | | | | | | | | | | | |            sub-proof #738.
% 174.34/27.55  | | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | 
% 174.34/27.55  | | | | | | | | Case 2:
% 174.34/27.55  | | | | | | | | | 
% 174.34/27.55  | | | | | | | | |   (302)  all_56_6 = e1 | all_56_12 = e1
% 174.34/27.55  | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | BETA: splitting (302) gives:
% 174.34/27.55  | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | Case 1:
% 174.34/27.55  | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | |   (303)  all_56_6 = e1
% 174.34/27.55  | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | COMBINE_EQS: (51), (303) imply:
% 174.34/27.55  | | | | | | | | | |   (304)  all_52_2 = e1
% 174.34/27.55  | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | REDUCE: (97), (304) imply:
% 174.34/27.55  | | | | | | | | | |   (305)  $false
% 174.34/27.55  | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | CLOSE: (305) is inconsistent.
% 174.34/27.55  | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | Case 2:
% 174.34/27.55  | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | |   (306)  all_56_12 = e1
% 174.34/27.55  | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | COMBINE_EQS: (13), (306) imply:
% 174.34/27.55  | | | | | | | | | |   (307)  e1 = e0
% 174.34/27.55  | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | COMBINE_EQS: (94), (307) imply:
% 174.34/27.55  | | | | | | | | | |   (308)  all_58_22 = e0
% 174.34/27.55  | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | | REF_CLOSE: (2), (16), (20), (28), (47), (52), (58), (60),
% 174.34/27.55  | | | | | | | | | |            (62), (89), (90), (101), (308) are inconsistent by
% 174.34/27.55  | | | | | | | | | |            sub-proof #750.
% 174.34/27.55  | | | | | | | | | | 
% 174.34/27.55  | | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | | 
% 174.34/27.55  | | | | | | | | End of split
% 174.34/27.55  | | | | | | | | 
% 174.34/27.55  | | | | | | | End of split
% 174.34/27.55  | | | | | | | 
% 174.34/27.55  | | | | | | Case 2:
% 174.34/27.55  | | | | | | | 
% 174.34/27.55  | | | | | | |   (309)  all_58_20 = e3 | all_58_21 = e2
% 174.34/27.55  | | | | | | | 
% 174.34/27.55  | | | | | | | REF_CLOSE: (25), (41), (60), (89), (309) are inconsistent by
% 174.34/27.55  | | | | | | |            sub-proof #974.
% 174.34/27.55  | | | | | | | 
% 174.34/27.55  | | | | | | End of split
% 174.34/27.55  | | | | | | 
% 174.34/27.55  | | | | | End of split
% 174.34/27.55  | | | | | 
% 174.34/27.55  | | | | Case 2:
% 174.34/27.55  | | | | | 
% 174.34/27.55  | | | | |   (310)  all_58_28 = e3
% 174.34/27.55  | | | | | 
% 174.34/27.55  | | | | | REF_CLOSE: (5), (74), (310) are inconsistent by sub-proof #837.
% 174.34/27.55  | | | | | 
% 174.34/27.55  | | | | End of split
% 174.34/27.55  | | | | 
% 174.34/27.55  | | | End of split
% 174.34/27.55  | | | 
% 174.34/27.55  | | End of split
% 174.34/27.55  | | 
% 174.34/27.55  | End of split
% 174.34/27.55  | 
% 174.34/27.55  End of proof
% 174.34/27.55  
% 174.34/27.55  Sub-proof #738 shows that the following formulas are inconsistent:
% 174.34/27.55  ----------------------------------------------------------------
% 174.34/27.55    (1)   ~ (e3 = e1)
% 174.34/27.55    (2)  all_56_7 = e1
% 174.34/27.55    (3)  all_56_13 = all_52_7
% 174.34/27.55    (4)  all_56_7 = e3 | all_56_13 = e3
% 174.34/27.55    (5)   ~ (all_52_7 = e3)
% 174.34/27.55  
% 174.34/27.55  Begin of proof
% 174.34/27.55  | 
% 174.34/27.55  | BETA: splitting (4) gives:
% 174.34/27.55  | 
% 174.34/27.55  | Case 1:
% 174.34/27.55  | | 
% 174.34/27.55  | |   (6)  all_56_7 = e3
% 174.34/27.55  | | 
% 174.34/27.55  | | COMBINE_EQS: (2), (6) imply:
% 174.34/27.55  | |   (7)  e3 = e1
% 174.34/27.55  | | 
% 174.34/27.55  | | REDUCE: (1), (7) imply:
% 174.34/27.55  | |   (8)  $false
% 174.34/27.55  | | 
% 174.34/27.55  | | CLOSE: (8) is inconsistent.
% 174.34/27.55  | | 
% 174.34/27.55  | Case 2:
% 174.34/27.55  | | 
% 174.34/27.55  | |   (9)  all_56_13 = e3
% 174.34/27.55  | | 
% 174.34/27.55  | | COMBINE_EQS: (3), (9) imply:
% 174.34/27.55  | |   (10)  all_52_7 = e3
% 174.34/27.55  | | 
% 174.34/27.55  | | REDUCE: (5), (10) imply:
% 174.34/27.55  | |   (11)  $false
% 174.34/27.55  | | 
% 174.34/27.55  | | CLOSE: (11) is inconsistent.
% 174.34/27.55  | | 
% 174.34/27.55  | End of split
% 174.34/27.55  | 
% 174.34/27.55  End of proof
% 174.34/27.55  
% 174.34/27.55  Sub-proof #739 shows that the following formulas are inconsistent:
% 174.34/27.55  ----------------------------------------------------------------
% 174.34/27.55    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.34/27.55    (2)  all_58_28 = e1
% 174.34/27.55    (3)  all_58_25 = e0
% 174.34/27.55    (4)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.55    (5)  all_58_28 = e0
% 174.34/27.55    (6)  all_58_22 = e1
% 174.34/27.55    (7)  all_58_20 = all_52_4
% 174.34/27.55    (8)  all_58_24 = all_52_8
% 174.34/27.55    (9)   ~ (all_52_4 = all_52_8)
% 174.34/27.55    (10)  all_58_21 = all_4_2
% 174.34/27.55    (11)   ~ (e2 = e0)
% 174.34/27.55    (12)   ~ (e1 = e0)
% 174.34/27.55    (13)   ~ (all_4_2 = e2)
% 174.34/27.55  
% 174.34/27.55  Begin of proof
% 174.34/27.55  | 
% 174.34/27.55  | COMBINE_EQS: (2), (5) imply:
% 174.34/27.55  |   (14)  e1 = e0
% 174.34/27.55  | 
% 174.34/27.55  | SIMP: (14) implies:
% 174.34/27.55  |   (15)  e1 = e0
% 174.34/27.55  | 
% 174.34/27.55  | COMBINE_EQS: (6), (15) imply:
% 174.34/27.55  |   (16)  all_58_22 = e0
% 174.34/27.55  | 
% 174.34/27.55  | REF_CLOSE: (1), (3), (4), (7), (8), (9), (10), (11), (12), (13), (16) are
% 174.34/27.55  |            inconsistent by sub-proof #745.
% 174.34/27.55  | 
% 174.34/27.55  End of proof
% 174.34/27.55  
% 174.34/27.55  Sub-proof #740 shows that the following formulas are inconsistent:
% 174.34/27.55  ----------------------------------------------------------------
% 174.34/27.55    (1)   ~ (e3 = e1)
% 174.34/27.55    (2)  all_58_25 = e0
% 174.34/27.55    (3)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.55    (4)  (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 174.34/27.55         (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0)
% 174.34/27.55    (5)   ~ (e2 = e0)
% 174.34/27.55  
% 174.34/27.55  Begin of proof
% 174.34/27.55  | 
% 174.34/27.55  | BETA: splitting (4) gives:
% 174.34/27.55  | 
% 174.34/27.55  | Case 1:
% 174.34/27.55  | | 
% 174.34/27.55  | |   (6)  all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2
% 174.34/27.55  | | 
% 174.34/27.55  | | ALPHA: (6) implies:
% 174.34/27.55  | |   (7)  all_58_24 = e1
% 174.34/27.55  | | 
% 174.34/27.55  | | REF_CLOSE: (1), (2), (3), (5), (7) are inconsistent by sub-proof #967.
% 174.34/27.55  | | 
% 174.34/27.55  | Case 2:
% 174.34/27.55  | | 
% 174.34/27.55  | |   (8)  all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0
% 174.34/27.55  | | 
% 174.34/27.55  | | ALPHA: (8) implies:
% 174.34/27.55  | |   (9)  all_58_24 = e1
% 174.34/27.55  | | 
% 174.34/27.55  | | REF_CLOSE: (1), (2), (3), (5), (9) are inconsistent by sub-proof #967.
% 174.34/27.55  | | 
% 174.34/27.55  | End of split
% 174.34/27.55  | 
% 174.34/27.55  End of proof
% 174.34/27.55  
% 174.34/27.55  Sub-proof #741 shows that the following formulas are inconsistent:
% 174.34/27.55  ----------------------------------------------------------------
% 174.34/27.55    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.34/27.55    (2)  all_58_25 = e1
% 174.34/27.55    (3)  all_58_25 = e0
% 174.34/27.55    (4)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.55    (5)  all_58_22 = e1
% 174.34/27.55    (6)  all_58_20 = all_52_4
% 174.34/27.55    (7)  all_58_24 = all_52_8
% 174.34/27.55    (8)   ~ (all_52_4 = all_52_8)
% 174.34/27.55    (9)  all_58_21 = all_4_2
% 174.34/27.55    (10)   ~ (e2 = e0)
% 174.34/27.55    (11)   ~ (e1 = e0)
% 174.34/27.55    (12)   ~ (all_4_2 = e2)
% 174.34/27.55  
% 174.34/27.55  Begin of proof
% 174.34/27.55  | 
% 174.34/27.55  | COMBINE_EQS: (2), (3) imply:
% 174.34/27.55  |   (13)  e1 = e0
% 174.34/27.55  | 
% 174.34/27.55  | COMBINE_EQS: (5), (13) imply:
% 174.34/27.55  |   (14)  all_58_22 = e0
% 174.34/27.55  | 
% 174.34/27.55  | REF_CLOSE: (1), (3), (4), (6), (7), (8), (9), (10), (11), (12), (14) are
% 174.34/27.55  |            inconsistent by sub-proof #745.
% 174.34/27.55  | 
% 174.34/27.55  End of proof
% 174.34/27.55  
% 174.34/27.55  Sub-proof #742 shows that the following formulas are inconsistent:
% 174.34/27.55  ----------------------------------------------------------------
% 174.34/27.55    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.34/27.55    (2)  all_58_17 = e1
% 174.34/27.55    (3)  all_58_25 = e0
% 174.34/27.55    (4)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.55    (5)  all_58_20 = e0
% 174.34/27.55    (6)  all_58_20 = e2
% 174.34/27.55    (7)  all_58_22 = e1
% 174.34/27.55    (8)  all_58_20 = all_52_4
% 174.34/27.55    (9)  all_58_17 = e2
% 174.34/27.55    (10)  all_58_24 = all_52_8
% 174.34/27.55    (11)   ~ (all_52_4 = all_52_8)
% 174.34/27.55    (12)  all_58_21 = all_4_2
% 174.34/27.55    (13)   ~ (e2 = e0)
% 174.34/27.55    (14)   ~ (e1 = e0)
% 174.34/27.55    (15)   ~ (all_4_2 = e2)
% 174.34/27.55  
% 174.34/27.55  Begin of proof
% 174.34/27.55  | 
% 174.34/27.55  | COMBINE_EQS: (2), (9) imply:
% 174.34/27.55  |   (16)  e2 = e1
% 174.34/27.55  | 
% 174.34/27.55  | COMBINE_EQS: (5), (6) imply:
% 174.34/27.55  |   (17)  e2 = e0
% 174.34/27.55  | 
% 174.34/27.55  | COMBINE_EQS: (16), (17) imply:
% 174.34/27.55  |   (18)  e1 = e0
% 174.34/27.55  | 
% 174.34/27.55  | COMBINE_EQS: (7), (18) imply:
% 174.34/27.55  |   (19)  all_58_22 = e0
% 174.34/27.55  | 
% 174.34/27.55  | REF_CLOSE: (1), (3), (4), (8), (10), (11), (12), (13), (14), (15), (19) are
% 174.34/27.55  |            inconsistent by sub-proof #745.
% 174.34/27.55  | 
% 174.34/27.55  End of proof
% 174.34/27.55  
% 174.34/27.55  Sub-proof #743 shows that the following formulas are inconsistent:
% 174.34/27.55  ----------------------------------------------------------------
% 174.34/27.55    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.34/27.55    (2)  all_58_25 = e0
% 174.34/27.55    (3)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.55    (4)  all_58_22 = e2
% 174.34/27.55    (5)  all_58_20 = all_52_4
% 174.34/27.55    (6)  all_58_24 = all_52_8
% 174.34/27.55    (7)   ~ (all_52_4 = all_52_8)
% 174.34/27.55    (8)  all_58_21 = all_4_2
% 174.34/27.55    (9)   ~ (e2 = e0)
% 174.34/27.55    (10)   ~ (e1 = e0)
% 174.34/27.55    (11)  all_58_25 = e2
% 174.34/27.55    (12)   ~ (all_4_2 = e2)
% 174.34/27.55  
% 174.34/27.55  Begin of proof
% 174.34/27.55  | 
% 174.34/27.55  | COMBINE_EQS: (2), (11) imply:
% 174.34/27.55  |   (13)  e2 = e0
% 174.34/27.55  | 
% 174.34/27.55  | COMBINE_EQS: (4), (13) imply:
% 174.34/27.55  |   (14)  all_58_22 = e0
% 174.34/27.55  | 
% 174.34/27.55  | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (12), (14) are
% 174.34/27.55  |            inconsistent by sub-proof #745.
% 174.34/27.55  | 
% 174.34/27.55  End of proof
% 174.34/27.55  
% 174.34/27.55  Sub-proof #744 shows that the following formulas are inconsistent:
% 174.34/27.55  ----------------------------------------------------------------
% 174.34/27.55    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.34/27.55    (2)  e3 = e1
% 174.34/27.55    (3)  all_58_25 = e0
% 174.34/27.55    (4)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.55    (5)  all_58_22 = e1
% 174.34/27.55    (6)  e3 = e0
% 174.34/27.55    (7)  all_58_20 = all_52_4
% 174.34/27.55    (8)  all_58_24 = all_52_8
% 174.34/27.55    (9)   ~ (all_52_4 = all_52_8)
% 174.34/27.55    (10)  all_58_21 = all_4_2
% 174.34/27.55    (11)   ~ (e2 = e0)
% 174.34/27.55    (12)   ~ (e1 = e0)
% 174.34/27.55    (13)   ~ (all_4_2 = e2)
% 174.34/27.55  
% 174.34/27.55  Begin of proof
% 174.34/27.55  | 
% 174.34/27.55  | COMBINE_EQS: (2), (6) imply:
% 174.34/27.55  |   (14)  e1 = e0
% 174.34/27.55  | 
% 174.34/27.55  | SIMP: (14) implies:
% 174.34/27.55  |   (15)  e1 = e0
% 174.34/27.55  | 
% 174.34/27.55  | COMBINE_EQS: (5), (15) imply:
% 174.34/27.55  |   (16)  all_58_22 = e0
% 174.34/27.55  | 
% 174.34/27.55  | REF_CLOSE: (1), (3), (4), (7), (8), (9), (10), (11), (12), (13), (16) are
% 174.34/27.55  |            inconsistent by sub-proof #745.
% 174.34/27.55  | 
% 174.34/27.55  End of proof
% 174.34/27.55  
% 174.34/27.55  Sub-proof #745 shows that the following formulas are inconsistent:
% 174.34/27.55  ----------------------------------------------------------------
% 174.34/27.55    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.34/27.55    (2)  all_58_25 = e0
% 174.34/27.55    (3)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.55    (4)  all_58_22 = e0
% 174.34/27.55    (5)  all_58_20 = all_52_4
% 174.34/27.55    (6)  all_58_24 = all_52_8
% 174.34/27.55    (7)   ~ (all_52_4 = all_52_8)
% 174.34/27.55    (8)  all_58_21 = all_4_2
% 174.34/27.55    (9)   ~ (e2 = e0)
% 174.34/27.55    (10)   ~ (e1 = e0)
% 174.34/27.55    (11)   ~ (all_4_2 = e2)
% 174.34/27.55  
% 174.34/27.55  Begin of proof
% 174.34/27.55  | 
% 174.34/27.55  | BETA: splitting (1) gives:
% 174.34/27.55  | 
% 174.34/27.55  | Case 1:
% 174.34/27.55  | | 
% 174.34/27.55  | |   (12)  all_58_22 = e1
% 174.34/27.55  | | 
% 174.34/27.55  | | REF_CLOSE: (4), (10), (12) are inconsistent by sub-proof #923.
% 174.34/27.55  | | 
% 174.34/27.55  | Case 2:
% 174.34/27.55  | | 
% 174.34/27.55  | |   (13)  all_58_20 = e3 | all_58_21 = e2
% 174.34/27.55  | | 
% 174.34/27.55  | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (9), (11), (13) are inconsistent by
% 174.34/27.55  | |            sub-proof #751.
% 174.34/27.55  | | 
% 174.34/27.55  | End of split
% 174.34/27.55  | 
% 174.34/27.55  End of proof
% 174.34/27.55  
% 174.34/27.55  Sub-proof #746 shows that the following formulas are inconsistent:
% 174.34/27.55  ----------------------------------------------------------------
% 174.34/27.55    (1)  all_58_21 = e3
% 174.34/27.55    (2)  all_58_21 = e2
% 174.34/27.55    (3)   ~ (e3 = e2)
% 174.34/27.55  
% 174.34/27.55  Begin of proof
% 174.34/27.55  | 
% 174.34/27.55  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.55  |   (4)  e3 = e2
% 174.34/27.55  | 
% 174.34/27.55  | SIMP: (4) implies:
% 174.34/27.55  |   (5)  e3 = e2
% 174.34/27.55  | 
% 174.34/27.55  | REDUCE: (3), (5) imply:
% 174.34/27.55  |   (6)  $false
% 174.34/27.55  | 
% 174.34/27.55  | CLOSE: (6) is inconsistent.
% 174.34/27.55  | 
% 174.34/27.55  End of proof
% 174.34/27.55  
% 174.34/27.55  Sub-proof #747 shows that the following formulas are inconsistent:
% 174.34/27.55  ----------------------------------------------------------------
% 174.34/27.55    (1)   ~ (e3 = e1)
% 174.34/27.55    (2)  all_58_28 = e1
% 174.34/27.55    (3)  all_58_28 = e3 | all_58_29 = e2
% 174.34/27.55    (4)  all_58_29 = e0
% 174.34/27.55    (5)   ~ (e2 = e0)
% 174.34/27.55  
% 174.34/27.55  Begin of proof
% 174.34/27.55  | 
% 174.34/27.55  | BETA: splitting (3) gives:
% 174.34/27.55  | 
% 174.34/27.55  | Case 1:
% 174.34/27.55  | | 
% 174.34/27.55  | |   (6)  all_58_29 = e2
% 174.34/27.55  | | 
% 174.34/27.55  | | REF_CLOSE: (4), (5), (6) are inconsistent by sub-proof #889.
% 174.34/27.55  | | 
% 174.34/27.55  | Case 2:
% 174.34/27.55  | | 
% 174.34/27.55  | |   (7)  all_58_28 = e3
% 174.34/27.55  | | 
% 174.34/27.55  | | REF_CLOSE: (1), (2), (7) are inconsistent by sub-proof #837.
% 174.34/27.55  | | 
% 174.34/27.55  | End of split
% 174.34/27.55  | 
% 174.34/27.55  End of proof
% 174.34/27.55  
% 174.34/27.55  Sub-proof #748 shows that the following formulas are inconsistent:
% 174.34/27.55  ----------------------------------------------------------------
% 174.34/27.55    (1)  all_56_13 = all_52_7
% 174.34/27.55    (2)  all_56_13 = e1
% 174.34/27.55    (3)   ~ (all_52_7 = e1)
% 174.34/27.55  
% 174.34/27.55  Begin of proof
% 174.34/27.55  | 
% 174.34/27.55  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.55  |   (4)  all_52_7 = e1
% 174.34/27.55  | 
% 174.34/27.55  | SIMP: (4) implies:
% 174.34/27.55  |   (5)  all_52_7 = e1
% 174.34/27.55  | 
% 174.34/27.55  | REDUCE: (3), (5) imply:
% 174.34/27.55  |   (6)  $false
% 174.34/27.55  | 
% 174.34/27.55  | CLOSE: (6) is inconsistent.
% 174.34/27.55  | 
% 174.34/27.55  End of proof
% 174.34/27.55  
% 174.34/27.55  Sub-proof #749 shows that the following formulas are inconsistent:
% 174.34/27.55  ----------------------------------------------------------------
% 174.34/27.55    (1)  all_56_1 = e3
% 174.34/27.55    (2)  all_56_1 = e0
% 174.34/27.55    (3)   ~ (e3 = e0)
% 174.34/27.55  
% 174.34/27.55  Begin of proof
% 174.34/27.55  | 
% 174.34/27.55  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.55  |   (4)  e3 = e0
% 174.34/27.55  | 
% 174.34/27.55  | SIMP: (4) implies:
% 174.34/27.55  |   (5)  e3 = e0
% 174.34/27.55  | 
% 174.34/27.55  | REDUCE: (3), (5) imply:
% 174.34/27.55  |   (6)  $false
% 174.34/27.55  | 
% 174.34/27.55  | CLOSE: (6) is inconsistent.
% 174.34/27.55  | 
% 174.34/27.55  End of proof
% 174.34/27.55  
% 174.34/27.55  Sub-proof #750 shows that the following formulas are inconsistent:
% 174.34/27.55  ----------------------------------------------------------------
% 174.34/27.55    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.34/27.55    (2)  all_58_26 = all_10_2
% 174.34/27.55    (3)  all_58_25 = e0
% 174.34/27.55    (4)   ~ (all_10_2 = e1)
% 174.34/27.55    (5)  all_58_22 = e0
% 174.34/27.55    (6)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.34/27.55    (7)  all_58_20 = all_52_4
% 174.34/27.55    (8)  all_58_24 = all_52_8
% 174.34/27.55    (9)   ~ (all_52_4 = all_52_8)
% 174.34/27.55    (10)  all_58_21 = all_4_2
% 174.34/27.55    (11)   ~ (e2 = e0)
% 174.34/27.55    (12)   ~ (e1 = e0)
% 174.34/27.55    (13)   ~ (all_4_2 = e2)
% 174.34/27.55  
% 174.34/27.55  Begin of proof
% 174.34/27.55  | 
% 174.34/27.55  | BETA: splitting (6) gives:
% 174.34/27.55  | 
% 174.34/27.55  | Case 1:
% 174.34/27.55  | | 
% 174.34/27.55  | |   (14)  all_58_26 = e1
% 174.34/27.55  | | 
% 174.34/27.55  | | REF_CLOSE: (2), (4), (14) are inconsistent by sub-proof #968.
% 174.34/27.55  | | 
% 174.34/27.55  | Case 2:
% 174.34/27.55  | | 
% 174.34/27.55  | |   (15)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.55  | | 
% 174.34/27.55  | | BETA: splitting (1) gives:
% 174.34/27.55  | | 
% 174.34/27.55  | | Case 1:
% 174.34/27.55  | | | 
% 174.34/27.55  | | |   (16)  all_58_22 = e1
% 174.34/27.55  | | | 
% 174.34/27.55  | | | REF_CLOSE: (5), (12), (16) are inconsistent by sub-proof #923.
% 174.34/27.55  | | | 
% 174.34/27.55  | | Case 2:
% 174.34/27.55  | | | 
% 174.34/27.55  | | |   (17)  all_58_20 = e3 | all_58_21 = e2
% 174.34/27.55  | | | 
% 174.34/27.55  | | | REF_CLOSE: (3), (7), (8), (9), (10), (11), (13), (15), (17) are
% 174.34/27.55  | | |            inconsistent by sub-proof #751.
% 174.34/27.55  | | | 
% 174.34/27.55  | | End of split
% 174.34/27.55  | | 
% 174.34/27.55  | End of split
% 174.34/27.55  | 
% 174.34/27.55  End of proof
% 174.34/27.55  
% 174.34/27.55  Sub-proof #751 shows that the following formulas are inconsistent:
% 174.34/27.55  ----------------------------------------------------------------
% 174.34/27.55    (1)  all_58_25 = e0
% 174.34/27.55    (2)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.55    (3)  all_58_20 = all_52_4
% 174.34/27.55    (4)  all_58_24 = all_52_8
% 174.34/27.55    (5)  all_58_20 = e3 | all_58_21 = e2
% 174.34/27.55    (6)   ~ (all_52_4 = all_52_8)
% 174.34/27.55    (7)  all_58_21 = all_4_2
% 174.34/27.55    (8)   ~ (e2 = e0)
% 174.34/27.55    (9)   ~ (all_4_2 = e2)
% 174.34/27.55  
% 174.34/27.55  Begin of proof
% 174.34/27.55  | 
% 174.34/27.55  | BETA: splitting (5) gives:
% 174.34/27.55  | 
% 174.34/27.55  | Case 1:
% 174.34/27.55  | | 
% 174.34/27.55  | |   (10)  all_58_21 = e2
% 174.34/27.55  | | 
% 174.34/27.55  | | COMBINE_EQS: (7), (10) imply:
% 174.34/27.55  | |   (11)  all_4_2 = e2
% 174.34/27.55  | | 
% 174.34/27.55  | | REDUCE: (9), (11) imply:
% 174.34/27.55  | |   (12)  $false
% 174.34/27.55  | | 
% 174.34/27.55  | | CLOSE: (12) is inconsistent.
% 174.34/27.55  | | 
% 174.34/27.55  | Case 2:
% 174.34/27.55  | | 
% 174.34/27.55  | |   (13)  all_58_20 = e3
% 174.34/27.55  | | 
% 174.34/27.55  | | COMBINE_EQS: (3), (13) imply:
% 174.34/27.55  | |   (14)  all_52_4 = e3
% 174.34/27.55  | | 
% 174.34/27.55  | | REDUCE: (6), (14) imply:
% 174.34/27.55  | |   (15)   ~ (all_52_8 = e3)
% 174.34/27.55  | | 
% 174.34/27.55  | | SIMP: (15) implies:
% 174.34/27.55  | |   (16)   ~ (all_52_8 = e3)
% 174.34/27.55  | | 
% 174.34/27.55  | | REF_CLOSE: (1), (2), (4), (8), (16) are inconsistent by sub-proof #849.
% 174.34/27.55  | | 
% 174.34/27.55  | End of split
% 174.34/27.55  | 
% 174.34/27.55  End of proof
% 174.34/27.55  
% 174.34/27.55  Sub-proof #752 shows that the following formulas are inconsistent:
% 174.34/27.55  ----------------------------------------------------------------
% 174.34/27.55    (1)  all_54_15 = all_14_2
% 174.34/27.55    (2)  all_54_15 = e1
% 174.34/27.55    (3)   ~ (all_14_2 = e1)
% 174.34/27.55  
% 174.34/27.55  Begin of proof
% 174.34/27.55  | 
% 174.34/27.55  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.55  |   (4)  all_14_2 = e1
% 174.34/27.55  | 
% 174.34/27.55  | SIMP: (4) implies:
% 174.34/27.55  |   (5)  all_14_2 = e1
% 174.34/27.55  | 
% 174.34/27.55  | REDUCE: (3), (5) imply:
% 174.34/27.55  |   (6)  $false
% 174.34/27.55  | 
% 174.34/27.55  | CLOSE: (6) is inconsistent.
% 174.34/27.55  | 
% 174.34/27.55  End of proof
% 174.34/27.55  
% 174.34/27.55  Sub-proof #753 shows that the following formulas are inconsistent:
% 174.34/27.55  ----------------------------------------------------------------
% 174.34/27.55    (1)   ~ (all_52_8 = e1)
% 174.34/27.55    (2)  all_56_9 = e0
% 174.34/27.55    (3)  all_56_4 = e1 | all_56_9 = e1
% 174.34/27.55    (4)  all_56_4 = all_52_8
% 174.34/27.55    (5)   ~ (e1 = e0)
% 174.34/27.55  
% 174.34/27.55  Begin of proof
% 174.34/27.55  | 
% 174.34/27.55  | BETA: splitting (3) gives:
% 174.34/27.55  | 
% 174.34/27.55  | Case 1:
% 174.34/27.55  | | 
% 174.34/27.55  | |   (6)  all_56_4 = e1
% 174.34/27.55  | | 
% 174.34/27.55  | | COMBINE_EQS: (4), (6) imply:
% 174.34/27.55  | |   (7)  all_52_8 = e1
% 174.34/27.55  | | 
% 174.34/27.55  | | REDUCE: (1), (7) imply:
% 174.34/27.55  | |   (8)  $false
% 174.34/27.55  | | 
% 174.34/27.55  | | CLOSE: (8) is inconsistent.
% 174.34/27.55  | | 
% 174.34/27.55  | Case 2:
% 174.34/27.55  | | 
% 174.34/27.55  | |   (9)  all_56_9 = e1
% 174.34/27.55  | | 
% 174.34/27.55  | | COMBINE_EQS: (2), (9) imply:
% 174.34/27.55  | |   (10)  e1 = e0
% 174.34/27.55  | | 
% 174.34/27.55  | | REDUCE: (5), (10) imply:
% 174.34/27.55  | |   (11)  $false
% 174.34/27.55  | | 
% 174.34/27.55  | | CLOSE: (11) is inconsistent.
% 174.34/27.55  | | 
% 174.34/27.55  | End of split
% 174.34/27.55  | 
% 174.34/27.55  End of proof
% 174.34/27.55  
% 174.34/27.55  Sub-proof #754 shows that the following formulas are inconsistent:
% 174.34/27.55  ----------------------------------------------------------------
% 174.34/27.55    (1)  all_56_1 = e1
% 174.34/27.55    (2)  all_56_1 = e0
% 174.34/27.55    (3)   ~ (e1 = e0)
% 174.34/27.55  
% 174.34/27.55  Begin of proof
% 174.34/27.55  | 
% 174.34/27.55  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.55  |   (4)  e1 = e0
% 174.34/27.55  | 
% 174.34/27.55  | SIMP: (4) implies:
% 174.34/27.55  |   (5)  e1 = e0
% 174.34/27.55  | 
% 174.34/27.55  | REDUCE: (3), (5) imply:
% 174.34/27.55  |   (6)  $false
% 174.34/27.55  | 
% 174.34/27.55  | CLOSE: (6) is inconsistent.
% 174.34/27.55  | 
% 174.34/27.55  End of proof
% 174.34/27.55  
% 174.34/27.55  Sub-proof #755 shows that the following formulas are inconsistent:
% 174.34/27.55  ----------------------------------------------------------------
% 174.34/27.55    (1)  all_54_3 = all_52_12
% 174.34/27.55    (2)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.34/27.55    (3)  all_58_30 = e0
% 174.34/27.55    (4)   ~ (all_52_12 = e3)
% 174.34/27.55    (5)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 174.34/27.55    (6)   ~ (all_52_12 = e1)
% 174.34/27.55    (7)  all_58_29 = all_52_13
% 174.34/27.55    (8)  all_58_28 = all_52_12
% 174.34/27.55    (9)   ~ (e1 = e0)
% 174.34/27.55    (10)   ~ (all_52_12 = all_52_13)
% 174.34/27.55  
% 174.34/27.55  Begin of proof
% 174.34/27.55  | 
% 174.34/27.55  | BETA: splitting (5) gives:
% 174.34/27.55  | 
% 174.34/27.55  | Case 1:
% 174.34/27.55  | | 
% 174.34/27.55  | |   (11)  all_54_3 = e1
% 174.34/27.55  | | 
% 174.34/27.55  | | REF_CLOSE: (1), (6), (11) are inconsistent by sub-proof #894.
% 174.34/27.55  | | 
% 174.34/27.55  | Case 2:
% 174.34/27.55  | | 
% 174.34/27.55  | |   (12)  all_54_3 = e3 | all_54_3 = e2
% 174.34/27.55  | | 
% 174.34/27.55  | | BETA: splitting (12) gives:
% 174.34/27.55  | | 
% 174.34/27.55  | | Case 1:
% 174.34/27.55  | | | 
% 174.34/27.55  | | |   (13)  all_54_3 = e2
% 174.34/27.55  | | | 
% 174.34/27.55  | | | COMBINE_EQS: (1), (13) imply:
% 174.34/27.55  | | |   (14)  all_52_12 = e2
% 174.34/27.55  | | | 
% 174.34/27.55  | | | SIMP: (14) implies:
% 174.34/27.55  | | |   (15)  all_52_12 = e2
% 174.34/27.55  | | | 
% 174.34/27.55  | | | COMBINE_EQS: (8), (15) imply:
% 174.34/27.55  | | |   (16)  all_58_28 = e2
% 174.34/27.55  | | | 
% 174.34/27.55  | | | REDUCE: (10), (15) imply:
% 174.34/27.55  | | |   (17)   ~ (all_52_13 = e2)
% 174.34/27.55  | | | 
% 174.34/27.55  | | | SIMP: (17) implies:
% 174.34/27.55  | | |   (18)   ~ (all_52_13 = e2)
% 174.34/27.55  | | | 
% 174.34/27.56  | | | REDUCE: (4), (15) imply:
% 174.34/27.56  | | |   (19)   ~ (e3 = e2)
% 174.34/27.56  | | | 
% 174.34/27.56  | | | SIMP: (19) implies:
% 174.34/27.56  | | |   (20)   ~ (e3 = e2)
% 174.34/27.56  | | | 
% 174.34/27.56  | | | REF_CLOSE: (2), (3), (7), (9), (16), (18), (20) are inconsistent by
% 174.34/27.56  | | |            sub-proof #756.
% 174.34/27.56  | | | 
% 174.34/27.56  | | Case 2:
% 174.34/27.56  | | | 
% 174.34/27.56  | | |   (21)  all_54_3 = e3
% 174.34/27.56  | | | 
% 174.34/27.56  | | | REF_CLOSE: (1), (4), (21) are inconsistent by sub-proof #892.
% 174.34/27.56  | | | 
% 174.34/27.56  | | End of split
% 174.34/27.56  | | 
% 174.34/27.56  | End of split
% 174.34/27.56  | 
% 174.34/27.56  End of proof
% 174.34/27.56  
% 174.34/27.56  Sub-proof #756 shows that the following formulas are inconsistent:
% 174.34/27.56  ----------------------------------------------------------------
% 174.34/27.56    (1)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.34/27.56    (2)  all_58_30 = e0
% 174.34/27.56    (3)   ~ (e3 = e2)
% 174.34/27.56    (4)   ~ (all_52_13 = e2)
% 174.34/27.56    (5)  all_58_29 = all_52_13
% 174.34/27.56    (6)   ~ (e1 = e0)
% 174.34/27.56    (7)  all_58_28 = e2
% 174.34/27.56  
% 174.34/27.56  Begin of proof
% 174.34/27.56  | 
% 174.34/27.56  | BETA: splitting (1) gives:
% 174.34/27.56  | 
% 174.34/27.56  | Case 1:
% 174.34/27.56  | | 
% 174.34/27.56  | |   (8)  all_58_30 = e1
% 174.34/27.56  | | 
% 174.34/27.56  | | REF_CLOSE: (2), (6), (8) are inconsistent by sub-proof #838.
% 174.34/27.56  | | 
% 174.34/27.56  | Case 2:
% 174.34/27.56  | | 
% 174.34/27.56  | |   (9)  all_58_28 = e3 | all_58_29 = e2
% 174.34/27.56  | | 
% 174.34/27.56  | | REF_CLOSE: (3), (4), (5), (7), (9) are inconsistent by sub-proof #757.
% 174.34/27.56  | | 
% 174.34/27.56  | End of split
% 174.34/27.56  | 
% 174.34/27.56  End of proof
% 174.34/27.56  
% 174.34/27.56  Sub-proof #757 shows that the following formulas are inconsistent:
% 174.34/27.56  ----------------------------------------------------------------
% 174.34/27.56    (1)  all_58_28 = e3 | all_58_29 = e2
% 174.34/27.56    (2)   ~ (e3 = e2)
% 174.34/27.56    (3)   ~ (all_52_13 = e2)
% 174.34/27.56    (4)  all_58_29 = all_52_13
% 174.34/27.56    (5)  all_58_28 = e2
% 174.34/27.56  
% 174.34/27.56  Begin of proof
% 174.34/27.56  | 
% 174.34/27.56  | BETA: splitting (1) gives:
% 174.34/27.56  | 
% 174.34/27.56  | Case 1:
% 174.34/27.56  | | 
% 174.34/27.56  | |   (6)  all_58_29 = e2
% 174.34/27.56  | | 
% 174.34/27.56  | | COMBINE_EQS: (4), (6) imply:
% 174.34/27.56  | |   (7)  all_52_13 = e2
% 174.34/27.56  | | 
% 174.34/27.56  | | REDUCE: (3), (7) imply:
% 174.34/27.56  | |   (8)  $false
% 174.34/27.56  | | 
% 174.34/27.56  | | CLOSE: (8) is inconsistent.
% 174.34/27.56  | | 
% 174.34/27.56  | Case 2:
% 174.34/27.56  | | 
% 174.34/27.56  | |   (9)  all_58_28 = e3
% 174.34/27.56  | | 
% 174.34/27.56  | | COMBINE_EQS: (5), (9) imply:
% 174.34/27.56  | |   (10)  e3 = e2
% 174.34/27.56  | | 
% 174.34/27.56  | | SIMP: (10) implies:
% 174.34/27.56  | |   (11)  e3 = e2
% 174.34/27.56  | | 
% 174.34/27.56  | | REDUCE: (2), (11) imply:
% 174.34/27.56  | |   (12)  $false
% 174.34/27.56  | | 
% 174.34/27.56  | | CLOSE: (12) is inconsistent.
% 174.34/27.56  | | 
% 174.34/27.56  | End of split
% 174.34/27.56  | 
% 174.34/27.56  End of proof
% 174.34/27.56  
% 174.34/27.56  Sub-proof #758 shows that the following formulas are inconsistent:
% 174.34/27.56  ----------------------------------------------------------------
% 174.34/27.56    (1)  all_54_2 = all_52_8
% 174.34/27.56    (2)  all_54_2 = e3
% 174.34/27.56    (3)   ~ (all_52_8 = e3)
% 174.34/27.56  
% 174.34/27.56  Begin of proof
% 174.34/27.56  | 
% 174.34/27.56  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.56  |   (4)  all_52_8 = e3
% 174.34/27.56  | 
% 174.34/27.56  | SIMP: (4) implies:
% 174.34/27.56  |   (5)  all_52_8 = e3
% 174.34/27.56  | 
% 174.34/27.56  | REDUCE: (3), (5) imply:
% 174.34/27.56  |   (6)  $false
% 174.34/27.56  | 
% 174.34/27.56  | CLOSE: (6) is inconsistent.
% 174.34/27.56  | 
% 174.34/27.56  End of proof
% 174.34/27.56  
% 174.34/27.56  Sub-proof #759 shows that the following formulas are inconsistent:
% 174.34/27.56  ----------------------------------------------------------------
% 174.34/27.56    (1)  all_56_8 = e1
% 174.34/27.56    (2)   ~ (e2 = e1)
% 174.34/27.56    (3)  all_56_8 = e2 | all_56_11 = e2
% 174.34/27.56    (4)  all_56_11 = e0
% 174.34/27.56    (5)   ~ (e2 = e0)
% 174.34/27.56  
% 174.34/27.56  Begin of proof
% 174.34/27.56  | 
% 174.34/27.56  | BETA: splitting (3) gives:
% 174.34/27.56  | 
% 174.34/27.56  | Case 1:
% 174.34/27.56  | | 
% 174.34/27.56  | |   (6)  all_56_8 = e2
% 174.34/27.56  | | 
% 174.34/27.56  | | COMBINE_EQS: (1), (6) imply:
% 174.34/27.56  | |   (7)  e2 = e1
% 174.34/27.56  | | 
% 174.34/27.56  | | SIMP: (7) implies:
% 174.34/27.56  | |   (8)  e2 = e1
% 174.34/27.56  | | 
% 174.34/27.56  | | REDUCE: (2), (8) imply:
% 174.34/27.56  | |   (9)  $false
% 174.34/27.56  | | 
% 174.34/27.56  | | CLOSE: (9) is inconsistent.
% 174.34/27.56  | | 
% 174.34/27.56  | Case 2:
% 174.34/27.56  | | 
% 174.34/27.56  | |   (10)  all_56_11 = e2
% 174.34/27.56  | | 
% 174.34/27.56  | | COMBINE_EQS: (4), (10) imply:
% 174.34/27.56  | |   (11)  e2 = e0
% 174.34/27.56  | | 
% 174.34/27.56  | | REDUCE: (5), (11) imply:
% 174.34/27.56  | |   (12)  $false
% 174.34/27.56  | | 
% 174.34/27.56  | | CLOSE: (12) is inconsistent.
% 174.34/27.56  | | 
% 174.34/27.56  | End of split
% 174.34/27.56  | 
% 174.34/27.56  End of proof
% 174.34/27.56  
% 174.34/27.56  Sub-proof #760 shows that the following formulas are inconsistent:
% 174.34/27.56  ----------------------------------------------------------------
% 174.34/27.56    (1)  all_56_7 = all_52_6
% 174.34/27.56    (2)  all_56_7 = e2
% 174.34/27.56    (3)   ~ (all_52_6 = e2)
% 174.34/27.56  
% 174.34/27.56  Begin of proof
% 174.34/27.56  | 
% 174.34/27.56  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.56  |   (4)  all_52_6 = e2
% 174.34/27.56  | 
% 174.34/27.56  | SIMP: (4) implies:
% 174.34/27.56  |   (5)  all_52_6 = e2
% 174.34/27.56  | 
% 174.34/27.56  | REDUCE: (3), (5) imply:
% 174.34/27.56  |   (6)  $false
% 174.34/27.56  | 
% 174.34/27.56  | CLOSE: (6) is inconsistent.
% 174.34/27.56  | 
% 174.34/27.56  End of proof
% 174.34/27.56  
% 174.34/27.56  Sub-proof #761 shows that the following formulas are inconsistent:
% 174.34/27.56  ----------------------------------------------------------------
% 174.34/27.56    (1)   ~ (all_6_0 = e0)
% 174.34/27.56    (2)  op(e2, e1) = e0
% 174.34/27.56    (3)  op(all_6_1, e1) = all_6_0
% 174.34/27.56    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.34/27.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.34/27.56    (5)  op(e1, e3) = e2
% 174.34/27.56    (6)  op(e1, e3) = all_6_1
% 174.34/27.56  
% 174.34/27.56  Begin of proof
% 174.34/27.56  | 
% 174.34/27.56  | GROUND_INST: instantiating (4) with e2, all_6_1, e3, e1, simplifying with (5),
% 174.34/27.56  |              (6) gives:
% 174.34/27.56  |   (7)  all_6_1 = e2
% 174.34/27.56  | 
% 174.34/27.56  | REDUCE: (3), (7) imply:
% 174.34/27.56  |   (8)  op(e2, e1) = all_6_0
% 174.34/27.56  | 
% 174.34/27.56  | GROUND_INST: instantiating (4) with e0, all_6_0, e1, e2, simplifying with (2),
% 174.34/27.56  |              (8) gives:
% 174.34/27.56  |   (9)  all_6_0 = e0
% 174.34/27.56  | 
% 174.34/27.56  | REDUCE: (1), (9) imply:
% 174.34/27.56  |   (10)  $false
% 174.34/27.56  | 
% 174.34/27.56  | CLOSE: (10) is inconsistent.
% 174.34/27.56  | 
% 174.34/27.56  End of proof
% 174.34/27.56  
% 174.34/27.56  Sub-proof #762 shows that the following formulas are inconsistent:
% 174.34/27.56  ----------------------------------------------------------------
% 174.34/27.56    (1)  all_54_2 = all_52_8
% 174.34/27.56    (2)  all_54_2 = e1
% 174.34/27.56    (3)   ~ (all_52_8 = e1)
% 174.34/27.56  
% 174.34/27.56  Begin of proof
% 174.34/27.56  | 
% 174.34/27.56  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.56  |   (4)  all_52_8 = e1
% 174.34/27.56  | 
% 174.34/27.56  | SIMP: (4) implies:
% 174.34/27.56  |   (5)  all_52_8 = e1
% 174.34/27.56  | 
% 174.34/27.56  | REDUCE: (3), (5) imply:
% 174.34/27.56  |   (6)  $false
% 174.34/27.56  | 
% 174.34/27.56  | CLOSE: (6) is inconsistent.
% 174.34/27.56  | 
% 174.34/27.56  End of proof
% 174.34/27.56  
% 174.34/27.56  Sub-proof #763 shows that the following formulas are inconsistent:
% 174.34/27.56  ----------------------------------------------------------------
% 174.34/27.56    (1)  all_54_2 = all_52_8
% 174.34/27.56    (2)  all_54_2 = e0
% 174.34/27.56    (3)   ~ (all_52_8 = e0)
% 174.34/27.56  
% 174.34/27.56  Begin of proof
% 174.34/27.56  | 
% 174.34/27.56  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.56  |   (4)  all_52_8 = e0
% 174.34/27.56  | 
% 174.34/27.56  | SIMP: (4) implies:
% 174.34/27.56  |   (5)  all_52_8 = e0
% 174.34/27.56  | 
% 174.34/27.56  | REDUCE: (3), (5) imply:
% 174.34/27.56  |   (6)  $false
% 174.34/27.56  | 
% 174.34/27.56  | CLOSE: (6) is inconsistent.
% 174.34/27.56  | 
% 174.34/27.56  End of proof
% 174.34/27.56  
% 174.34/27.56  Sub-proof #764 shows that the following formulas are inconsistent:
% 174.34/27.56  ----------------------------------------------------------------
% 174.34/27.56    (1)  all_54_8 = all_52_2
% 174.34/27.56    (2)  all_56_1 = all_52_4
% 174.34/27.56    (3)   ~ (all_6_0 = e0)
% 174.34/27.56    (4)  op(e1, e3) = all_52_2
% 174.34/27.56    (5)   ~ (all_10_2 = e0)
% 174.34/27.56    (6)   ~ (e3 = e1)
% 174.34/27.56    (7)  all_58_23 = all_52_7
% 174.34/27.56    (8)   ~ (all_52_2 = all_6_2)
% 174.34/27.56    (9)   ~ (all_52_4 = all_4_2)
% 174.34/27.56    (10)  all_56_5 = all_52_9
% 174.34/27.56    (11)  op(all_6_2, e3) = all_6_1
% 174.34/27.56    (12)   ~ (all_52_12 = all_6_2)
% 174.34/27.56    (13)   ~ (all_52_6 = all_4_2)
% 174.34/27.56    (14)  all_56_10 = e0
% 174.34/27.56    (15)  all_54_1 = all_52_4
% 174.34/27.56    (16)   ~ (all_14_2 = e0)
% 174.34/27.56    (17)   ~ (all_52_9 = all_4_2)
% 174.34/27.56    (18)  all_56_14 = all_52_11
% 174.34/27.56    (19)  all_56_12 = e0
% 174.34/27.56    (20)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 174.34/27.56    (21)  all_56_8 = all_10_2
% 174.34/27.56    (22)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.34/27.56    (23)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 174.34/27.56    (24)  all_58_26 = all_10_2
% 174.34/27.56    (25)   ~ (all_52_4 = all_52_6)
% 174.34/27.56    (26)  all_58_31 = all_14_2
% 174.34/27.56    (27)   ~ (all_52_11 = all_10_2)
% 174.34/27.56    (28)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 174.34/27.56    (29)  op(all_6_1, all_6_2) = all_6_0
% 174.34/27.56    (30)   ~ (all_52_1 = all_6_2)
% 174.34/27.56    (31)  all_56_11 = all_52_14
% 174.34/27.56    (32)  op(e2, e1) = all_52_9
% 174.34/27.56    (33)   ~ (all_52_6 = all_52_7)
% 174.34/27.56    (34)  all_56_0 = all_6_2
% 174.34/27.56    (35)   ~ (all_52_9 = all_10_2)
% 174.34/27.56    (36)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.34/27.56    (37)  all_58_30 = all_52_14
% 174.34/27.56    (38)  all_58_27 = all_52_11
% 174.34/27.56    (39)  all_54_14 = all_52_11
% 174.34/27.56    (40)  all_56_9 = all_52_12
% 174.34/27.56    (41)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 174.34/27.56    (42)  all_56_4 = e0
% 174.34/27.56    (43)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 174.34/27.56    (44)   ~ (e3 = e2)
% 174.34/27.56    (45)   ~ (all_52_4 = all_52_7)
% 174.34/27.56    (46)   ~ (e2 = e1)
% 174.34/27.56    (47)   ~ (all_52_6 = all_10_2)
% 174.34/27.56    (48)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.34/27.56    (49)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.34/27.56    (50)   ~ (all_52_1 = all_4_2)
% 174.34/27.56    (51)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.34/27.56    (52)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 174.34/27.56    (53)  op(e2, e3) = all_52_1
% 174.34/27.56    (54)  all_58_19 = e0
% 174.34/27.56    (55)  all_58_18 = all_52_2
% 174.34/27.56    (56)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.34/27.56    (57)  all_58_16 = all_6_2
% 174.34/27.56    (58)  all_56_13 = all_52_7
% 174.34/27.56    (59)   ~ (all_52_12 = e0)
% 174.34/27.56    (60)   ~ (all_52_4 = all_6_2)
% 174.34/27.56    (61)  all_56_2 = all_52_1
% 174.34/27.56    (62)   ~ (e3 = e0)
% 174.34/27.56    (63)   ~ (all_52_1 = all_52_2)
% 174.34/27.56    (64)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 174.34/27.56    (65)   ~ (all_6_2 = e0)
% 174.34/27.56    (66)   ~ (all_52_6 = all_52_14)
% 174.34/27.56    (67)   ~ (all_52_7 = all_4_2)
% 174.34/27.56    (68)  all_56_4 = all_52_8
% 174.34/27.56    (69)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 174.34/27.56    (70)  all_58_20 = all_52_4
% 174.34/27.56    (71)  all_54_13 = all_52_7
% 174.34/27.56    (72)   ~ (all_52_7 = all_52_11)
% 174.34/27.56    (73)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.34/27.56    (74)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 174.34/27.56    (75)  all_56_6 = all_52_2
% 174.34/27.56    (76)   ~ (all_52_1 = all_52_9)
% 174.34/27.56    (77)  all_58_24 = all_52_8
% 174.34/27.56    (78)  all_58_22 = all_52_6
% 174.34/27.56    (79)   ~ (all_52_4 = all_52_12)
% 174.34/27.56    (80)  all_56_3 = all_4_2
% 174.34/27.56    (81)  all_54_0 = all_6_2
% 174.34/27.56    (82)  all_58_29 = e0
% 174.34/27.56    (83)   ~ (all_52_14 = all_10_2)
% 174.34/27.56    (84)  all_58_24 = e0
% 174.34/27.56    (85)   ~ (all_52_11 = e0)
% 174.34/27.56    (86)   ~ (all_52_1 = e0)
% 174.34/27.56    (87)  all_58_25 = all_52_9
% 174.34/27.56    (88)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.34/27.56            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.34/27.56    (89)   ~ (all_6_1 = e0)
% 174.34/27.56    (90)   ~ (all_52_2 = all_52_14)
% 174.34/27.56    (91)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 174.34/27.56    (92)  all_58_21 = all_4_2
% 174.34/27.56    (93)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 174.34/27.56    (94)   ~ (e2 = e0)
% 174.34/27.56    (95)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 174.34/27.56    (96)   ~ (all_52_14 = e0)
% 174.34/27.56    (97)  all_58_28 = all_52_12
% 174.34/27.56    (98)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 174.34/27.56    (99)   ~ (e1 = e0)
% 174.34/27.56    (100)  all_54_4 = all_52_1
% 174.34/27.56    (101)  all_56_7 = all_52_6
% 174.34/27.56    (102)  all_54_5 = all_4_2
% 174.34/27.56    (103)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 174.34/27.56    (104)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 174.34/27.56           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 174.34/27.56           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.34/27.56           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 174.34/27.56           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.34/27.56           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.34/27.56           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.34/27.56           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 174.34/27.56           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.34/27.56           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 174.34/27.56             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 174.34/27.56             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 174.34/27.56             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 174.34/27.56             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 174.34/27.56             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 174.34/27.56             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 174.34/27.56             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 174.34/27.56             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 174.34/27.56             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 174.34/27.56             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 174.34/27.56             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 174.34/27.56             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 174.34/27.56             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 174.34/27.56             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 174.34/27.56             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 174.34/27.56             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.34/27.56           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.34/27.56           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.34/27.56           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 174.34/27.56             all_58_30 = e0 & e1 = e0)
% 174.34/27.56    (105)   ~ (all_52_2 = all_10_2)
% 174.34/27.56    (106)  op(e1, e2) = all_52_6
% 174.34/27.56  
% 174.34/27.56  Begin of proof
% 174.34/27.56  | 
% 174.34/27.56  | BETA: splitting (43) gives:
% 174.34/27.56  | 
% 174.34/27.56  | Case 1:
% 174.34/27.56  | | 
% 174.34/27.56  | |   (107)  all_56_7 = e0
% 174.34/27.56  | | 
% 174.34/27.56  | | COMBINE_EQS: (101), (107) imply:
% 174.34/27.56  | |   (108)  all_52_6 = e0
% 174.34/27.56  | | 
% 174.34/27.56  | | COMBINE_EQS: (78), (108) imply:
% 174.34/27.56  | |   (109)  all_58_22 = e0
% 174.34/27.56  | | 
% 174.34/27.56  | | REDUCE: (25), (108) imply:
% 174.34/27.56  | |   (110)   ~ (all_52_4 = e0)
% 174.34/27.56  | | 
% 174.34/27.56  | | REDUCE: (33), (108) imply:
% 174.34/27.56  | |   (111)   ~ (all_52_7 = e0)
% 174.34/27.56  | | 
% 174.34/27.56  | | SIMP: (111) implies:
% 174.34/27.56  | |   (112)   ~ (all_52_7 = e0)
% 174.34/27.56  | | 
% 174.34/27.56  | | REDUCE: (66), (108) imply:
% 174.34/27.56  | |   (113)   ~ (all_52_14 = e0)
% 174.34/27.56  | | 
% 174.34/27.56  | | REDUCE: (47), (108) imply:
% 174.34/27.56  | |   (114)   ~ (all_10_2 = e0)
% 174.34/27.56  | | 
% 174.34/27.56  | | REDUCE: (13), (108) imply:
% 174.34/27.56  | |   (115)   ~ (all_4_2 = e0)
% 174.34/27.56  | | 
% 174.34/27.56  | | SIMP: (115) implies:
% 174.34/27.56  | |   (116)   ~ (all_4_2 = e0)
% 174.34/27.56  | | 
% 174.34/27.56  | | REDUCE: (106), (108) imply:
% 174.34/27.56  | |   (117)  op(e1, e2) = e0
% 174.34/27.56  | | 
% 174.34/27.56  | | BETA: splitting (74) gives:
% 174.34/27.56  | | 
% 174.34/27.56  | | Case 1:
% 174.34/27.56  | | | 
% 174.34/27.56  | | |   (118)  all_54_4 = e0
% 174.34/27.56  | | | 
% 174.34/27.56  | | | REF_CLOSE: (86), (100), (118) are inconsistent by sub-proof #902.
% 174.34/27.56  | | | 
% 174.34/27.56  | | Case 2:
% 174.34/27.56  | | | 
% 174.34/27.56  | | |   (119)   ~ (all_54_4 = e0)
% 174.34/27.56  | | |   (120)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 174.34/27.56  | | | 
% 174.34/27.56  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 174.34/27.56  | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 174.34/27.56  | | |            (24), (26), (27), (28), (29), (30), (31), (32), (34), (35),
% 174.34/27.56  | | |            (36), (37), (38), (39), (40), (41), (42), (44), (45), (46),
% 174.34/27.56  | | |            (48), (49), (50), (51), (52), (53), (54), (55), (56), (57),
% 174.34/27.56  | | |            (58), (59), (60), (61), (62), (63), (64), (65), (67), (68),
% 174.34/27.56  | | |            (69), (70), (71), (72), (73), (75), (76), (77), (79), (80),
% 174.34/27.56  | | |            (81), (82), (83), (84), (85), (86), (87), (88), (89), (90),
% 174.34/27.56  | | |            (91), (92), (93), (94), (95), (96), (97), (98), (99), (100),
% 174.34/27.56  | | |            (102), (103), (104), (105), (107), (109), (110), (112), (116),
% 174.34/27.56  | | |            (117), (120) are inconsistent by sub-proof #765.
% 174.34/27.56  | | | 
% 174.34/27.56  | | End of split
% 174.34/27.56  | | 
% 174.34/27.56  | Case 2:
% 174.34/27.56  | | 
% 174.34/27.56  | |   (121)  all_56_8 = e0 | all_56_11 = e0
% 174.34/27.56  | | 
% 174.34/27.56  | | REF_CLOSE: (5), (21), (31), (96), (121) are inconsistent by sub-proof #912.
% 174.34/27.56  | | 
% 174.34/27.56  | End of split
% 174.34/27.56  | 
% 174.34/27.56  End of proof
% 174.34/27.56  
% 174.34/27.56  Sub-proof #765 shows that the following formulas are inconsistent:
% 174.34/27.56  ----------------------------------------------------------------
% 174.34/27.56    (1)  all_54_8 = all_52_2
% 174.34/27.56    (2)  all_56_1 = all_52_4
% 174.34/27.56    (3)   ~ (all_6_0 = e0)
% 174.34/27.56    (4)  op(e1, e3) = all_52_2
% 174.34/27.56    (5)   ~ (all_10_2 = e0)
% 174.34/27.56    (6)   ~ (e3 = e1)
% 174.34/27.56    (7)  all_58_23 = all_52_7
% 174.34/27.56    (8)   ~ (all_52_2 = all_6_2)
% 174.34/27.56    (9)   ~ (all_52_4 = all_4_2)
% 174.34/27.56    (10)  all_56_5 = all_52_9
% 174.34/27.56    (11)  op(all_6_2, e3) = all_6_1
% 174.34/27.56    (12)   ~ (all_52_12 = all_6_2)
% 174.34/27.56    (13)  all_56_10 = e0
% 174.34/27.56    (14)  all_54_1 = all_52_4
% 174.34/27.56    (15)   ~ (all_14_2 = e0)
% 174.34/27.56    (16)   ~ (all_52_9 = all_4_2)
% 174.34/27.56    (17)  all_56_14 = all_52_11
% 174.34/27.56    (18)  all_56_12 = e0
% 174.34/27.56    (19)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 174.34/27.56    (20)  all_56_8 = all_10_2
% 174.34/27.56    (21)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.34/27.56    (22)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1
% 174.34/27.56    (23)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 174.34/27.56    (24)  all_58_26 = all_10_2
% 174.34/27.56    (25)  all_58_31 = all_14_2
% 174.34/27.56    (26)   ~ (all_52_11 = all_10_2)
% 174.34/27.56    (27)  all_56_6 = e3 | all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 174.34/27.56    (28)   ~ (all_52_4 = e0)
% 174.34/27.56    (29)  op(all_6_1, all_6_2) = all_6_0
% 174.34/27.56    (30)   ~ (all_52_1 = all_6_2)
% 174.34/27.56    (31)  all_56_11 = all_52_14
% 174.34/27.56    (32)  op(e2, e1) = all_52_9
% 174.34/27.56    (33)  all_56_0 = all_6_2
% 174.34/27.56    (34)   ~ (all_52_9 = all_10_2)
% 174.34/27.56    (35)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.34/27.56    (36)  all_58_30 = all_52_14
% 174.34/27.56    (37)  all_58_27 = all_52_11
% 174.34/27.56    (38)  all_54_14 = all_52_11
% 174.34/27.56    (39)  all_56_9 = all_52_12
% 174.34/27.56    (40)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 174.34/27.56    (41)  all_58_22 = e0
% 174.34/27.56    (42)  all_56_4 = e0
% 174.34/27.56    (43)   ~ (e3 = e2)
% 174.34/27.56    (44)   ~ (all_52_4 = all_52_7)
% 174.34/27.56    (45)   ~ (e2 = e1)
% 174.34/27.56    (46)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.34/27.56    (47)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.34/27.56    (48)  op(e1, e2) = e0
% 174.34/27.56    (49)   ~ (all_52_1 = all_4_2)
% 174.34/27.56    (50)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.34/27.56    (51)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 174.34/27.56    (52)  op(e2, e3) = all_52_1
% 174.34/27.56    (53)  all_58_19 = e0
% 174.34/27.56    (54)  all_58_18 = all_52_2
% 174.34/27.56    (55)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.34/27.56    (56)  all_58_16 = all_6_2
% 174.34/27.56    (57)  all_56_13 = all_52_7
% 174.34/27.56    (58)   ~ (all_52_12 = e0)
% 174.34/27.56    (59)   ~ (all_52_4 = all_6_2)
% 174.34/27.56    (60)  all_56_2 = all_52_1
% 174.34/27.56    (61)   ~ (e3 = e0)
% 174.34/27.56    (62)   ~ (all_52_1 = all_52_2)
% 174.34/27.56    (63)  all_56_1 = e3 | all_56_3 = e3 | all_56_7 = e3 | all_56_13 = e3
% 174.34/27.56    (64)  all_56_7 = e0
% 174.34/27.56    (65)   ~ (all_4_2 = e0)
% 174.34/27.56    (66)   ~ (all_6_2 = e0)
% 174.34/27.56    (67)   ~ (all_52_7 = all_4_2)
% 174.34/27.56    (68)  all_56_4 = all_52_8
% 174.34/27.56    (69)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 174.34/27.56    (70)  all_58_20 = all_52_4
% 174.34/27.56    (71)  all_54_13 = all_52_7
% 174.34/27.56    (72)   ~ (all_52_7 = all_52_11)
% 174.34/27.56    (73)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.34/27.56    (74)  all_56_6 = all_52_2
% 174.34/27.56    (75)   ~ (all_52_1 = all_52_9)
% 174.34/27.56    (76)   ~ (all_52_7 = e0)
% 174.34/27.56    (77)  all_58_24 = all_52_8
% 174.34/27.56    (78)   ~ (all_52_4 = all_52_12)
% 174.34/27.56    (79)  all_56_3 = all_4_2
% 174.34/27.56    (80)  all_54_0 = all_6_2
% 174.34/27.56    (81)  all_58_29 = e0
% 174.34/27.56    (82)   ~ (all_52_14 = all_10_2)
% 174.34/27.56    (83)  all_58_24 = e0
% 174.34/27.56    (84)   ~ (all_52_11 = e0)
% 174.34/27.56    (85)   ~ (all_52_1 = e0)
% 174.34/27.56    (86)  all_58_25 = all_52_9
% 174.34/27.56    (87)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.34/27.56            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.34/27.56    (88)   ~ (all_6_1 = e0)
% 174.34/27.56    (89)   ~ (all_52_2 = all_52_14)
% 174.34/27.56    (90)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 174.34/27.56    (91)  all_58_21 = all_4_2
% 174.34/27.56    (92)  all_56_2 = e1 | all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 174.34/27.56    (93)   ~ (e2 = e0)
% 174.34/27.56    (94)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 174.34/27.56    (95)   ~ (all_52_14 = e0)
% 174.34/27.56    (96)  all_58_28 = all_52_12
% 174.34/27.56    (97)  all_56_1 = e1 | all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 174.34/27.56    (98)   ~ (e1 = e0)
% 174.34/27.56    (99)  all_54_4 = all_52_1
% 174.34/27.56    (100)  all_54_5 = all_4_2
% 174.34/27.56    (101)  all_56_12 = e2 | all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 174.34/27.56    (102)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 174.34/27.56           (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 174.34/27.56           (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.34/27.56           (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 174.34/27.56           (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.34/27.56           (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.34/27.56           (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.34/27.56           (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 174.34/27.56           (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.34/27.56           (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 174.34/27.56             all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 174.34/27.56             all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 174.34/27.56             all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 174.34/27.56             all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 174.34/27.56             all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 174.34/27.56             all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 174.34/27.56             all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 174.34/27.56             all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 174.34/27.56             all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 174.34/27.56             all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 174.34/27.56             all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 174.34/27.56             e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 174.34/27.56             all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 174.34/27.56             all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 174.34/27.56             all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 174.34/27.56             all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.34/27.56           (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.34/27.56           (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.34/27.56           (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 174.34/27.56             all_58_30 = e0 & e1 = e0)
% 174.34/27.56    (103)   ~ (all_52_2 = all_10_2)
% 174.34/27.56  
% 174.34/27.56  Begin of proof
% 174.34/27.56  | 
% 174.34/27.56  | BETA: splitting (94) gives:
% 174.34/27.56  | 
% 174.34/27.56  | Case 1:
% 174.34/27.56  | | 
% 174.34/27.56  | |   (104)  all_54_13 = e0
% 174.34/27.56  | | 
% 174.34/27.56  | | REF_CLOSE: (71), (76), (104) are inconsistent by sub-proof #800.
% 174.34/27.56  | | 
% 174.34/27.56  | Case 2:
% 174.34/27.56  | | 
% 174.34/27.56  | |   (105)   ~ (all_54_13 = e0)
% 174.34/27.56  | |   (106)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1
% 174.34/27.56  | | 
% 174.34/27.56  | | BETA: splitting (51) gives:
% 174.34/27.56  | | 
% 174.34/27.56  | | Case 1:
% 174.34/27.56  | | | 
% 174.34/27.56  | | |   (107)  all_54_1 = e0
% 174.34/27.56  | | | 
% 174.34/27.56  | | | REF_CLOSE: (14), (28), (107) are inconsistent by sub-proof #866.
% 174.34/27.56  | | | 
% 174.34/27.56  | | Case 2:
% 174.34/27.56  | | | 
% 174.34/27.56  | | |   (108)   ~ (all_54_1 = e0)
% 174.34/27.56  | | |   (109)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 174.34/27.56  | | | 
% 174.34/27.56  | | | BETA: splitting (40) gives:
% 174.34/27.56  | | | 
% 174.34/27.56  | | | Case 1:
% 174.34/27.56  | | | | 
% 174.34/27.56  | | | |   (110)  all_54_14 = e0
% 174.34/27.56  | | | | 
% 174.34/27.56  | | | | REF_CLOSE: (38), (84), (110) are inconsistent by sub-proof #799.
% 174.34/27.56  | | | | 
% 174.34/27.56  | | | Case 2:
% 174.34/27.56  | | | | 
% 174.34/27.56  | | | |   (111)   ~ (all_54_14 = e0)
% 174.34/27.56  | | | |   (112)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1
% 174.34/27.56  | | | | 
% 174.34/27.56  | | | | BETA: splitting (21) gives:
% 174.34/27.56  | | | | 
% 174.34/27.56  | | | | Case 1:
% 174.34/27.56  | | | | | 
% 174.34/27.56  | | | | |   (113)  all_58_31 = e0
% 174.34/27.56  | | | | | 
% 174.34/27.56  | | | | | COMBINE_EQS: (25), (113) imply:
% 174.34/27.56  | | | | |   (114)  all_14_2 = e0
% 174.34/27.56  | | | | | 
% 174.34/27.56  | | | | | REDUCE: (15), (114) imply:
% 174.34/27.56  | | | | |   (115)  $false
% 174.34/27.56  | | | | | 
% 174.34/27.56  | | | | | CLOSE: (115) is inconsistent.
% 174.34/27.56  | | | | | 
% 174.34/27.56  | | | | Case 2:
% 174.34/27.56  | | | | | 
% 174.34/27.56  | | | | |   (116)   ~ (all_58_31 = e0)
% 174.34/27.56  | | | | |   (117)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.34/27.56  | | | | | 
% 174.34/27.56  | | | | | BETA: splitting (35) gives:
% 174.34/27.56  | | | | | 
% 174.34/27.56  | | | | | Case 1:
% 174.34/27.56  | | | | | | 
% 174.34/27.56  | | | | | |   (118)  all_58_27 = e0
% 174.34/27.56  | | | | | | 
% 174.34/27.56  | | | | | | COMBINE_EQS: (37), (118) imply:
% 174.34/27.56  | | | | | |   (119)  all_52_11 = e0
% 174.34/27.56  | | | | | | 
% 174.34/27.56  | | | | | | REDUCE: (84), (119) imply:
% 174.34/27.56  | | | | | |   (120)  $false
% 174.34/27.56  | | | | | | 
% 174.34/27.56  | | | | | | CLOSE: (120) is inconsistent.
% 174.34/27.56  | | | | | | 
% 174.34/27.56  | | | | | Case 2:
% 174.34/27.56  | | | | | | 
% 174.34/27.56  | | | | | |   (121)   ~ (all_58_27 = e0)
% 174.34/27.56  | | | | | |   (122)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.34/27.56  | | | | | | 
% 174.34/27.56  | | | | | | BETA: splitting (73) gives:
% 174.34/27.56  | | | | | | 
% 174.34/27.56  | | | | | | Case 1:
% 174.34/27.56  | | | | | | | 
% 174.34/27.56  | | | | | | |   (123)  all_58_23 = e0
% 174.34/27.56  | | | | | | | 
% 174.34/27.56  | | | | | | | COMBINE_EQS: (7), (123) imply:
% 174.34/27.56  | | | | | | |   (124)  all_52_7 = e0
% 174.34/27.56  | | | | | | | 
% 174.34/27.56  | | | | | | | REDUCE: (76), (124) imply:
% 174.34/27.56  | | | | | | |   (125)  $false
% 174.34/27.56  | | | | | | | 
% 174.34/27.56  | | | | | | | CLOSE: (125) is inconsistent.
% 174.34/27.56  | | | | | | | 
% 174.34/27.56  | | | | | | Case 2:
% 174.34/27.56  | | | | | | | 
% 174.34/27.56  | | | | | | |   (126)   ~ (all_58_23 = e0)
% 174.34/27.56  | | | | | | |   (127)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.34/27.56  | | | | | | | 
% 174.34/27.56  | | | | | | | BETA: splitting (101) gives:
% 174.34/27.56  | | | | | | | 
% 174.34/27.56  | | | | | | | Case 1:
% 174.34/27.56  | | | | | | | | 
% 174.34/27.56  | | | | | | | |   (128)  all_56_12 = e2
% 174.34/27.56  | | | | | | | | 
% 174.34/27.56  | | | | | | | | COMBINE_EQS: (18), (128) imply:
% 174.34/27.56  | | | | | | | |   (129)  e2 = e0
% 174.34/27.56  | | | | | | | | 
% 174.34/27.56  | | | | | | | | REDUCE: (93), (129) imply:
% 174.34/27.56  | | | | | | | |   (130)  $false
% 174.34/27.56  | | | | | | | | 
% 174.34/27.56  | | | | | | | | CLOSE: (130) is inconsistent.
% 174.34/27.56  | | | | | | | | 
% 174.34/27.56  | | | | | | | Case 2:
% 174.34/27.56  | | | | | | | | 
% 174.34/27.56  | | | | | | | |   (131)   ~ (all_56_12 = e2)
% 174.34/27.56  | | | | | | | |   (132)  all_56_13 = e2 | all_56_14 = e2 | all_56_15 = e2
% 174.34/27.56  | | | | | | | | 
% 174.34/27.56  | | | | | | | | REDUCE: (18), (131) imply:
% 174.34/27.56  | | | | | | | |   (133)   ~ (e2 = e0)
% 174.34/27.56  | | | | | | | | 
% 174.34/27.56  | | | | | | | | BETA: splitting (27) gives:
% 174.34/27.56  | | | | | | | | 
% 174.34/27.56  | | | | | | | | Case 1:
% 174.34/27.56  | | | | | | | | | 
% 174.34/27.56  | | | | | | | | |   (134)  all_56_6 = e3
% 174.34/27.56  | | | | | | | | | 
% 174.34/27.56  | | | | | | | | | COMBINE_EQS: (74), (134) imply:
% 174.34/27.56  | | | | | | | | |   (135)  all_52_2 = e3
% 174.34/27.56  | | | | | | | | | 
% 174.34/27.56  | | | | | | | | | SIMP: (135) implies:
% 174.34/27.56  | | | | | | | | |   (136)  all_52_2 = e3
% 174.34/27.56  | | | | | | | | | 
% 174.34/27.56  | | | | | | | | | REDUCE: (62), (136) imply:
% 174.34/27.56  | | | | | | | | |   (137)   ~ (all_52_1 = e3)
% 174.34/27.56  | | | | | | | | | 
% 174.34/27.56  | | | | | | | | | BETA: splitting (55) gives:
% 174.34/27.56  | | | | | | | | | 
% 174.34/27.56  | | | | | | | | | Case 1:
% 174.34/27.56  | | | | | | | | | | 
% 174.34/27.56  | | | | | | | | | |   (138)  all_56_0 = e2
% 174.34/27.56  | | | | | | | | | | 
% 174.34/27.56  | | | | | | | | | | COMBINE_EQS: (33), (138) imply:
% 174.34/27.56  | | | | | | | | | |   (139)  all_6_2 = e2
% 174.34/27.56  | | | | | | | | | | 
% 174.34/27.56  | | | | | | | | | | REDUCE: (30), (139) imply:
% 174.34/27.56  | | | | | | | | | |   (140)   ~ (all_52_1 = e2)
% 174.34/27.56  | | | | | | | | | | 
% 174.34/27.56  | | | | | | | | | | REDUCE: (29), (139) imply:
% 174.34/27.56  | | | | | | | | | |   (141)  op(all_6_1, e2) = all_6_0
% 174.34/27.56  | | | | | | | | | | 
% 174.34/27.56  | | | | | | | | | | REDUCE: (11), (139) imply:
% 174.34/27.56  | | | | | | | | | |   (142)  op(e2, e3) = all_6_1
% 174.34/27.56  | | | | | | | | | | 
% 174.34/27.56  | | | | | | | | | | REF_CLOSE: (3), (23), (45), (48), (50), (52), (60), (87),
% 174.34/27.56  | | | | | | | | | |            (99), (137), (138), (140), (141), (142) are
% 174.34/27.56  | | | | | | | | | |            inconsistent by sub-proof #796.
% 174.34/27.56  | | | | | | | | | | 
% 174.34/27.56  | | | | | | | | | Case 2:
% 174.34/27.56  | | | | | | | | | | 
% 174.34/27.56  | | | | | | | | | |   (143)  all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.34/27.56  | | | | | | | | | | 
% 174.34/27.56  | | | | | | | | | | BETA: splitting (143) gives:
% 174.34/27.56  | | | | | | | | | | 
% 174.34/27.56  | | | | | | | | | | Case 1:
% 174.34/27.56  | | | | | | | | | | | 
% 174.34/27.56  | | | | | | | | | | |   (144)  all_56_2 = e2
% 174.34/27.56  | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | REF_CLOSE: (24), (28), (36), (41), (49), (60), (70), (75),
% 174.34/27.57  | | | | | | | | | | |            (78), (81), (82), (83), (85), (86), (91), (96),
% 174.34/27.57  | | | | | | | | | | |            (98), (117), (122), (127), (144) are inconsistent
% 174.34/27.57  | | | | | | | | | | |            by sub-proof #793.
% 174.34/27.57  | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | Case 2:
% 174.34/27.57  | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | |   (145)  all_56_6 = e2 | all_56_12 = e2
% 174.34/27.57  | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | REF_CLOSE: (18), (43), (93), (134), (145) are inconsistent by
% 174.34/27.57  | | | | | | | | | | |            sub-proof #791.
% 174.34/27.57  | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | End of split
% 174.34/27.57  | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | End of split
% 174.34/27.57  | | | | | | | | | 
% 174.34/27.57  | | | | | | | | Case 2:
% 174.34/27.57  | | | | | | | | | 
% 174.34/27.57  | | | | | | | | |   (146)   ~ (all_56_6 = e3)
% 174.34/27.57  | | | | | | | | |   (147)  all_56_7 = e3 | all_56_8 = e3 | all_56_11 = e3
% 174.34/27.57  | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | REDUCE: (74), (146) imply:
% 174.34/27.57  | | | | | | | | |   (148)   ~ (all_52_2 = e3)
% 174.34/27.57  | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | BETA: splitting (19) gives:
% 174.34/27.57  | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | |   (149)  all_56_0 = e3
% 174.34/27.57  | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | COMBINE_EQS: (33), (149) imply:
% 174.34/27.57  | | | | | | | | | |   (150)  all_6_2 = e3
% 174.34/27.57  | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | REDUCE: (59), (150) imply:
% 174.34/27.57  | | | | | | | | | |   (151)   ~ (all_52_4 = e3)
% 174.34/27.57  | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | REDUCE: (12), (150) imply:
% 174.34/27.57  | | | | | | | | | |   (152)   ~ (all_52_12 = e3)
% 174.34/27.57  | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | REF_CLOSE: (16), (24), (36), (41), (61), (65), (70), (81),
% 174.34/27.57  | | | | | | | | | |            (82), (83), (86), (91), (96), (98), (117), (122),
% 174.34/27.57  | | | | | | | | | |            (127), (151), (152) are inconsistent by sub-proof
% 174.34/27.57  | | | | | | | | | |            #790.
% 174.34/27.57  | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | Case 2:
% 174.34/27.57  | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | |   (153)  all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 174.34/27.57  | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | BETA: splitting (153) gives:
% 174.34/27.57  | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | |   (154)  all_56_2 = e3
% 174.34/27.57  | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | COMBINE_EQS: (60), (154) imply:
% 174.34/27.57  | | | | | | | | | | |   (155)  all_52_1 = e3
% 174.34/27.57  | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | REDUCE: (62), (155) imply:
% 174.34/27.57  | | | | | | | | | | |   (156)   ~ (all_52_2 = e3)
% 174.34/27.57  | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | REDUCE: (30), (155) imply:
% 174.34/27.57  | | | | | | | | | | |   (157)   ~ (all_6_2 = e3)
% 174.34/27.57  | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | SIMP: (157) implies:
% 174.34/27.57  | | | | | | | | | | |   (158)   ~ (all_6_2 = e3)
% 174.34/27.57  | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | REDUCE: (49), (155) imply:
% 174.34/27.57  | | | | | | | | | | |   (159)   ~ (all_4_2 = e3)
% 174.34/27.57  | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | SIMP: (159) implies:
% 174.34/27.57  | | | | | | | | | | |   (160)   ~ (all_4_2 = e3)
% 174.34/27.57  | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | BETA: splitting (92) gives:
% 174.34/27.57  | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | |   (161)  all_56_2 = e1
% 174.34/27.57  | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | COMBINE_EQS: (154), (161) imply:
% 174.34/27.57  | | | | | | | | | | | |   (162)  e3 = e1
% 174.34/27.57  | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | REDUCE: (6), (162) imply:
% 174.34/27.57  | | | | | | | | | | | |   (163)  $false
% 174.34/27.57  | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | CLOSE: (163) is inconsistent.
% 174.34/27.57  | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | Case 2:
% 174.34/27.57  | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | |   (164)  all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 174.34/27.57  | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | BETA: splitting (55) gives:
% 174.34/27.57  | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | |   (165)  all_56_0 = e2
% 174.34/27.57  | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | COMBINE_EQS: (33), (165) imply:
% 174.34/27.57  | | | | | | | | | | | | |   (166)  all_6_2 = e2
% 174.34/27.57  | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | REDUCE: (8), (166) imply:
% 174.34/27.57  | | | | | | | | | | | | |   (167)   ~ (all_52_2 = e2)
% 174.34/27.57  | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | REDUCE: (59), (166) imply:
% 174.34/27.57  | | | | | | | | | | | | |   (168)   ~ (all_52_4 = e2)
% 174.34/27.57  | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | BETA: splitting (22) gives:
% 174.34/27.57  | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | |   (169)  all_54_8 = e1
% 174.34/27.57  | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | COMBINE_EQS: (1), (169) imply:
% 174.34/27.57  | | | | | | | | | | | | | |   (170)  all_52_2 = e1
% 174.34/27.57  | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | SIMP: (170) implies:
% 174.34/27.57  | | | | | | | | | | | | | |   (171)  all_52_2 = e1
% 174.34/27.57  | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | REDUCE: (89), (171) imply:
% 174.34/27.57  | | | | | | | | | | | | | |   (172)   ~ (all_52_14 = e1)
% 174.34/27.57  | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | SIMP: (172) implies:
% 174.34/27.57  | | | | | | | | | | | | | |   (173)   ~ (all_52_14 = e1)
% 174.34/27.57  | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | REDUCE: (103), (171) imply:
% 174.34/27.57  | | | | | | | | | | | | | |   (174)   ~ (all_10_2 = e1)
% 174.34/27.57  | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | SIMP: (174) implies:
% 174.34/27.57  | | | | | | | | | | | | | |   (175)   ~ (all_10_2 = e1)
% 174.34/27.57  | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 174.34/27.57  | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | |   (176)  all_58_26 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | COMBINE_EQS: (24), (176) imply:
% 174.34/27.57  | | | | | | | | | | | | | | |   (177)  all_10_2 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | REDUCE: (175), (177) imply:
% 174.34/27.57  | | | | | | | | | | | | | | |   (178)  $false
% 174.34/27.57  | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | CLOSE: (178) is inconsistent.
% 174.34/27.57  | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | Case 2:
% 174.34/27.57  | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | |   (179)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | BETA: splitting (117) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | |   (180)  all_58_30 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | COMBINE_EQS: (36), (180) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | |   (181)  all_52_14 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | REDUCE: (173), (181) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | |   (182)  $false
% 174.34/27.57  | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | CLOSE: (182) is inconsistent.
% 174.34/27.57  | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | Case 2:
% 174.34/27.57  | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | |   (183)  all_58_28 = e3 | all_58_29 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (13), (14), (28), (58), (78), (79),
% 174.34/27.57  | | | | | | | | | | | | | | | |            (81), (83), (86), (93), (96), (109), (164), (168),
% 174.34/27.57  | | | | | | | | | | | | | | | |            (179), (183) are inconsistent by sub-proof #788.
% 174.34/27.57  | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | End of split
% 174.34/27.57  | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | End of split
% 174.34/27.57  | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | Case 2:
% 174.34/27.57  | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | |   (184)  all_54_8 = e3 | all_54_8 = e2
% 174.34/27.57  | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 174.34/27.57  | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | |   (185)  all_54_8 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | REF_CLOSE: (1), (167), (185) are inconsistent by sub-proof
% 174.34/27.57  | | | | | | | | | | | | | | |            #787.
% 174.34/27.57  | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | Case 2:
% 174.34/27.57  | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | |   (186)  all_54_8 = e3
% 174.34/27.57  | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | REF_CLOSE: (1), (148), (186) are inconsistent by sub-proof
% 174.34/27.57  | | | | | | | | | | | | | | |            #786.
% 174.34/27.57  | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | End of split
% 174.34/27.57  | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | End of split
% 174.34/27.57  | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | Case 2:
% 174.34/27.57  | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | |   (187)  all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.34/27.57  | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | BETA: splitting (187) gives:
% 174.34/27.57  | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | |   (188)  all_56_2 = e2
% 174.34/27.57  | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | COMBINE_EQS: (154), (188) imply:
% 174.34/27.57  | | | | | | | | | | | | | |   (189)  e3 = e2
% 174.34/27.57  | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | REDUCE: (43), (189) imply:
% 174.34/27.57  | | | | | | | | | | | | | |   (190)  $false
% 174.34/27.57  | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | CLOSE: (190) is inconsistent.
% 174.34/27.57  | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | Case 2:
% 174.34/27.57  | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | |   (191)  all_56_6 = e2 | all_56_12 = e2
% 174.34/27.57  | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 174.34/27.57  | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | |   (192)  all_56_6 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | COMBINE_EQS: (74), (192) imply:
% 174.34/27.57  | | | | | | | | | | | | | | |   (193)  all_52_2 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | SIMP: (193) implies:
% 174.34/27.57  | | | | | | | | | | | | | | |   (194)  all_52_2 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | COMBINE_EQS: (54), (194) imply:
% 174.34/27.57  | | | | | | | | | | | | | | |   (195)  all_58_18 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | REDUCE: (8), (194) imply:
% 174.34/27.57  | | | | | | | | | | | | | | |   (196)   ~ (all_6_2 = e2)
% 174.34/27.57  | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | SIMP: (196) implies:
% 174.34/27.57  | | | | | | | | | | | | | | |   (197)   ~ (all_6_2 = e2)
% 174.34/27.57  | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | REDUCE: (148), (194) imply:
% 174.34/27.57  | | | | | | | | | | | | | | |   (198)   ~ (e3 = e2)
% 174.34/27.57  | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | REDUCE: (4), (194) imply:
% 174.34/27.57  | | | | | | | | | | | | | | |   (199)  op(e1, e3) = e2
% 174.34/27.57  | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | BETA: splitting (46) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | |   (200)  all_54_0 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | COMBINE_EQS: (80), (200) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | |   (201)  all_6_2 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | SIMP: (201) implies:
% 174.34/27.57  | | | | | | | | | | | | | | | |   (202)  all_6_2 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | COMBINE_EQS: (33), (202) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | |   (203)  all_56_0 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | COMBINE_EQS: (56), (202) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | |   (204)  all_58_16 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | REDUCE: (59), (202) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | |   (205)   ~ (all_52_4 = e1)
% 174.34/27.57  | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | REDUCE: (197), (202) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | |   (206)   ~ (e2 = e1)
% 174.34/27.57  | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | REDUCE: (29), (202) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | |   (207)  op(all_6_1, e1) = all_6_0
% 174.34/27.57  | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | REDUCE: (11), (202) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | |   (208)  op(e1, e3) = all_6_1
% 174.34/27.57  | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (87) with e2, all_6_1, e3, e1,
% 174.34/27.57  | | | | | | | | | | | | | | | |              simplifying with (199), (208) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | |   (209)  all_6_1 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | REDUCE: (207), (209) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | |   (210)  op(e2, e1) = all_6_0
% 174.34/27.57  | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (87) with all_52_9, all_6_0, e1, e2,
% 174.34/27.57  | | | | | | | | | | | | | | | |              simplifying with (32), (210) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | |   (211)  all_52_9 = all_6_0
% 174.34/27.57  | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | COMBINE_EQS: (10), (211) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | |   (212)  all_56_5 = all_6_0
% 174.34/27.57  | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | COMBINE_EQS: (86), (211) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | |   (213)  all_58_25 = all_6_0
% 174.34/27.57  | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | REDUCE: (34), (211) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | |   (214)   ~ (all_10_2 = all_6_0)
% 174.34/27.57  | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | SIMP: (214) implies:
% 174.34/27.57  | | | | | | | | | | | | | | | |   (215)   ~ (all_10_2 = all_6_0)
% 174.34/27.57  | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | REDUCE: (16), (211) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | |   (216)   ~ (all_6_0 = all_4_2)
% 174.34/27.57  | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | BETA: splitting (63) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | |   (217)  all_56_1 = e3
% 174.34/27.57  | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | COMBINE_EQS: (2), (217) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | |   (218)  all_52_4 = e3
% 174.34/27.57  | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | COMBINE_EQS: (70), (218) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | |   (219)  all_58_20 = e3
% 174.34/27.57  | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | REDUCE: (44), (218) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | |   (220)   ~ (all_52_7 = e3)
% 174.34/27.57  | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | SIMP: (220) implies:
% 174.34/27.57  | | | | | | | | | | | | | | | | |   (221)   ~ (all_52_7 = e3)
% 174.34/27.57  | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | REDUCE: (78), (218) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | |   (222)   ~ (all_52_12 = e3)
% 174.34/27.57  | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | SIMP: (222) implies:
% 174.34/27.57  | | | | | | | | | | | | | | | | |   (223)   ~ (all_52_12 = e3)
% 174.34/27.57  | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | BETA: splitting (47) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | |   (224)  all_56_0 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (203), (224) are inconsistent by sub-proof
% 174.34/27.57  | | | | | | | | | | | | | | | | | |            #785.
% 174.34/27.57  | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | |   (225)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | |   (226)  all_56_1 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (217), (226) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | |   (227)  e3 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | REDUCE: (43), (227) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | |   (228)  $false
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | CLOSE: (228) is inconsistent.
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | |   (229)  all_56_4 = e2 | all_56_9 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | |   (230)  all_56_4 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (42), (230) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | |   (231)  e2 = e0
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (231) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | |   (232)  $false
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | CLOSE: (232) is inconsistent.
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | |   (233)  all_56_9 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (39), (233) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | |   (234)  all_52_12 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | SIMP: (234) implies:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | |   (235)  all_52_12 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (96), (235) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | |   (236)  all_58_28 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | BETA: splitting (117) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | |   (237)  all_58_30 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (36), (237) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | |   (238)  all_52_14 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (31), (238) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | |   (239)  all_56_11 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | REDUCE: (82), (238) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | |   (240)   ~ (all_10_2 = e1)
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | SIMP: (240) implies:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | |   (241)   ~ (all_10_2 = e1)
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | |   (242)  all_58_26 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (24), (242) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | |   (243)  all_10_2 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (241), (243) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | |   (244)  $false
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (244) is inconsistent.
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | |   (245)   ~ (all_58_26 = e1)
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | |   (246)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | |   (247)  all_58_25 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (213), (247) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | |   (248)  all_6_0 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (212), (248) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | |   (249)  all_56_5 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (215), (248) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | |   (250)   ~ (all_10_2 = e2)
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (216), (248) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | |   (251)   ~ (all_4_2 = e2)
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (251) implies:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | |   (252)   ~ (all_4_2 = e2)
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (102) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |   (253)  all_58_31 = e0
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25), (253) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |   (254)  all_14_2 = e0
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (254) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |   (255)  $false
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (255) is inconsistent.
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |   (256)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (132) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  all_56_13 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (57), (257) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  all_52_7 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (258) implies:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  all_52_7 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7), (259) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  all_58_23 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (259) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | |   (261)   ~ (all_52_11 = e2)
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (261) implies:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | |   (262)   ~ (all_52_11 = e2)
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (69) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  all_56_4 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (98), (263) are inconsistent by sub-proof
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | |            #834.
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  all_56_1 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (217), (265) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  e3 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (266) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  $false
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (267) is inconsistent.
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  all_56_3 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (79), (269) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  all_4_2 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (91), (270) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  all_58_21 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (270) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)   ~ (e3 = e1)
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  all_58_26 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (24), (273) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  all_10_2 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (241), (274) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)  $false
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (275) is inconsistent.
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_18 = e1 & all_58_20 = e3 & all_58_24 =
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) | (all_58_17 = e3 & all_58_19 = e0 &
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_20 = e3 & all_58_28 = e0) | (all_58_17 =
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_17 = e3 & all_58_20 = e3 &
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_23 = e2 & all_58_29 = e2) | (all_58_17 =
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3) | (all_58_17 = e2 & all_58_19 = e3 &
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_20 = e2 & all_58_28 = e3) | (all_58_17 =
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_17 = e2 & all_58_20 = e2 &
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_23 = e0 & all_58_29 = e0) | (all_58_17 =
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_19 = e0 & all_58_24 = e3 & all_58_28 =
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_24 = e3 & all_58_25 = e1) | (all_58_18 =
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_24 = e3 & all_58_27 = e1 & all_58_30
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1) | (all_58_18 = e1 & all_58_19 = e3 &
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_24 = e1 & all_58_28 = e3) | (all_58_18 =
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_18 =
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_28 = e3 & all_58_29 =
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 =
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 =
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e0 & e3 = e0) | (all_58_22 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_23 = e0 & all_58_25 = e2 & all_58_29 =
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_22 = e2 & all_58_25 = e2 &
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e1 & all_58_30 = e1) | (all_58_22 =
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_23 = e2 & all_58_25 = e1 & all_58_29
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2) | (all_58_22 = e1 & all_58_25 = e1 &
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_27 = e0 & all_58_30 = e0) | (all_58_22 =
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_27 = e0 & all_58_29 = e2 & all_58_30 =
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_58_23 = e0 & all_58_27 = e1 &
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_29 = e0 & all_58_30 = e1) | (all_58_23 =
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0 & e1 = e0)
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)  all_56_7 = e3
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (64), (277) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  e3 = e0
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (278) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  $false
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (279) is inconsistent.
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)   ~ (all_56_7 = e3)
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  all_56_8 = e3 | all_56_11 = e3
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (280) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)   ~ (e3 = e0)
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  all_56_5 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (283) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  e2 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (61), (83), (246), (247), (284) are
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #784.
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  all_56_8 = e1 | all_56_14 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  all_56_8 = e3
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20), (286) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  all_10_2 = e3
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (287) implies:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  all_10_2 = e3
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (26), (288) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)   ~ (all_52_11 = e3)
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (112) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  all_54_14 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (38), (290) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  all_52_11 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17), (291) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  all_56_14 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (276) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  all_58_21 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (293) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  e2 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (61), (83), (246), (247), (294) are
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #784.
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)   ~ (all_58_21 = e2)
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  all_58_16 = e3 | (all_58_17 = e3 & all_58_18 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_20 = e3 & all_58_24 = e1) | (all_58_17
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_58_28 = e0) | (all_58_17 = e3 & all_58_20 =
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & all_58_22 = e2 & all_58_25 = e2) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_18 = e1 & all_58_24
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 =
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_28 = e3 & all_58_29 = e0) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_19 = e0 & all_58_23
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_19 = e0 & all_58_28
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e3 = e0) | (all_58_22 = e2 & all_58_23 =
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_25 = e2 & all_58_29 = e0) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (296) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  all_58_16 = e3
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (204), (297) are inconsistent by sub-proof
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #970.
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)   ~ (all_58_16 = e3)
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (299) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2)
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (303) implies:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  all_58_24 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  all_58_18 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (195), (305) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)  e2 = e1
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (83), (304) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  e1 = e0
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (307) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  e2 = e0
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (308) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  all_58_25 = e0
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (24), (93), (122), (241), (304), (309) are
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #966.
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_17 = e3 & all_58_20
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_22 = e2 & all_58_25 = e2)
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (311) implies:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  all_58_28 = e0
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (236), (312) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  e2 = e0
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (313) implies:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  e2 = e0
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (68), (77), (93), (229), (233), (246),
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (247), (314) are inconsistent by sub-proof #781.
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 &
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (315) implies:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  all_58_22 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (41), (316) imply:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  e2 = e0
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (68), (77), (93), (229), (233), (246),
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (247), (317) are inconsistent by sub-proof #781.
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (318) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_20 = e2 & all_58_24 = e3)
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (319) gives:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 174.34/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (320) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  all_58_29 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (81), (321) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  e2 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (68), (77), (93), (229), (233), (246),
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (247), (322) are inconsistent by sub-proof #781.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_24 = e3
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (323) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  all_58_24 = e3
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (83), (324) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  e3 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (325) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  all_56_8 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (61), (239), (281), (326) are inconsistent by
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #780.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_22 = e1 & all_58_25 = e1)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (327) gives:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 &
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (328) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  all_58_28 = e3
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  all_58_19 = e3
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (53), (61), (236), (239), (281), (286),
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (329), (330) are inconsistent by sub-proof #778.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (331) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  all_58_25 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (61), (83), (246), (332) are inconsistent by
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #789.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e1)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & e3 = e2)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (336) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  all_58_23 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  all_58_20 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (219), (338) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  e3 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (337) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  e2 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (340) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  e2 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (61), (239), (281), (286), (339), (341) are
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #779.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  all_58_17 = e2 & all_58_20 = e2 & e3 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (219), (342) are inconsistent by sub-proof
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #777.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (343) gives:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (344) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  all_58_24 = e3
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (83), (345) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (346)  e3 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (61), (239), (281), (286), (346) are
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #776.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 &
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (347) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  all_58_25 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (61), (83), (246), (348) are inconsistent by
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #789.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (349) gives:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (350) gives:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (351) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (352)  all_58_24 = e3
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (83), (352) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (353)  e3 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (61), (239), (281), (286), (353) are
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #776.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (354)  all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_28 = e3
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (354) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (355)  all_58_28 = e3
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (356)  all_58_24 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (357)  all_58_19 = e3
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (358)  all_58_18 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (195), (358) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (359)  e2 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (53), (357) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  e3 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (360) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (361)  e3 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (236), (355) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (362)  e3 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (361), (362) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  e2 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (359), (363) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  e1 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (363) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (365)  all_58_25 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (24), (93), (122), (241), (356), (365) are
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #966.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (366)  (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (366) gives:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (367)  all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 &
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_25 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (367) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (368)  all_58_24 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (369)  all_58_22 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (41), (369) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (370)  e2 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (370) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (371)  e2 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (371) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (372)  all_58_25 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (24), (93), (122), (241), (368), (372) are
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #966.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (373)  all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (373) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (374)  all_58_30 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (375)  all_58_24 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (376)  all_58_18 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (195), (376) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (377)  e2 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (237), (374) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (378)  e1 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (24), (93), (122), (241), (247), (375),
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (377), (378) are inconsistent by sub-proof #775.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (379)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (379) gives:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (380)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (381)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (381) gives:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (382)  all_58_18 = e1 & all_58_24 = e1 & e3 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (382) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (383)  all_58_24 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (384)  all_58_18 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (195), (384) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (385)  e2 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (83), (383) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (386)  e1 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (24), (93), (122), (241), (247), (383),
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (385), (386) are inconsistent by sub-proof #775.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (387)  (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (387) gives:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (388)  all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (388) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (389)  all_58_28 = e3
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (390)  all_58_19 = e3
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (53), (61), (236), (239), (281), (286),
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (389), (390) are inconsistent by sub-proof #778.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (391)  all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (391) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (392)  all_58_19 = e3
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (53), (392) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (393)  e3 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (61), (239), (281), (286), (393) are
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #776.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (394)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (394) gives:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (395)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (395) gives:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (396)  all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (396) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (397)  all_58_29 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (81), (397) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (398)  e2 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (68), (77), (93), (229), (233), (246),
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (247), (398) are inconsistent by sub-proof #781.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (399)  all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (399) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (400)  all_58_28 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (236), (400) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (401)  e2 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (401) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (402)  e2 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (68), (77), (93), (229), (233), (246),
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (247), (402) are inconsistent by sub-proof #781.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (403)  (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_29 = e0)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (404)  all_58_19 = e0 & all_58_28 = e0 & e3 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (404) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (405)  e3 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (405) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (406)  all_56_8 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (61), (239), (281), (406) are inconsistent by
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #780.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (407)  all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (407) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (408)  all_58_23 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (408) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (409)  e2 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (409) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (410)  e2 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (68), (77), (93), (229), (233), (246),
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (247), (410) are inconsistent by sub-proof #781.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (411)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & e1 = e0)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (411) gives:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (412)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (412) gives:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (413)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (413) gives:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (414)  all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (414) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (415)  all_58_22 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (41), (415) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (416)  e2 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (416) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (417)  e2 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (68), (77), (93), (229), (233), (246),
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (247), (417) are inconsistent by sub-proof #781.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (418)  all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_29 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (418) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (419)  all_58_25 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (61), (83), (246), (419) are inconsistent by
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #789.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (420)  (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (61), (83), (246), (420) are inconsistent by
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #774.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (421)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (421) gives:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (422)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (422) gives:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (423)  all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (423) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (424)  all_58_29 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (81), (424) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (425)  e2 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (68), (77), (93), (229), (233), (246),
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (247), (425) are inconsistent by sub-proof #781.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (426)  all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_58_30 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (426) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (427)  all_58_23 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (427) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (428)  e2 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (68), (77), (93), (229), (233), (246),
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (247), (428) are inconsistent by sub-proof #781.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (429)  (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (429) gives:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (430)  all_58_23 = e0 & all_58_29 = e0 & e2 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (430) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (431)  all_58_23 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (431) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (432)  e2 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (68), (77), (93), (229), (233), (246),
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (247), (432) are inconsistent by sub-proof #781.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (433)  all_58_27 = e0 & all_58_30 = e0 & e1 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (433) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (434)  all_58_30 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (237), (434) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (435)  e1 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (435) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (436)  all_56_14 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (98), (241), (285), (436) are inconsistent
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #832.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (437)  all_54_14 = e3 | all_54_14 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (262), (289), (437) are inconsistent by
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #772.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (438)  all_56_11 = e3
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (239), (438) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (439)  e3 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (439) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (440)  $false
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (440) is inconsistent.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (441)   ~ (all_56_3 = e1)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (441) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (442)   ~ (all_4_2 = e1)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (90), (100), (160), (252), (442) are inconsistent
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #958.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | |   (443)   ~ (all_56_13 = e2)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (443) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | |   (444)   ~ (all_52_7 = e2)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | |   (445)  all_54_13 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (71), (445) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | |   (446)  all_52_7 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (67), (446) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | |   (447)   ~ (all_4_2 = e1)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (447) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | |   (448)   ~ (all_4_2 = e1)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (90), (100), (160), (252), (448) are inconsistent
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #958.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | |   (449)  all_54_13 = e3 | all_54_13 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (71), (221), (444), (449) are inconsistent by
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #770.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | |   (450)  all_58_24 = e3
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (83), (450) are inconsistent by sub-proof
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | |            #926.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | |   (451)  all_58_28 = e3 | all_58_29 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (81), (93), (96), (223), (451) are inconsistent by
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | |            sub-proof #869.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | |   (452)   ~ (all_56_1 = e3)
% 174.34/27.58  | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | REDUCE: (2), (452) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | |   (453)   ~ (all_52_4 = e3)
% 174.34/27.58  | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 174.34/27.58  | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | |   (454)  all_56_1 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2), (454) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | |   (455)  all_52_4 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | REDUCE: (205), (455) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | |   (456)  $false
% 174.34/27.58  | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | CLOSE: (456) is inconsistent.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | |   (457)   ~ (all_56_1 = e1)
% 174.34/27.58  | | | | | | | | | | | | | | | | | |   (458)  all_56_3 = e1 | all_56_7 = e1 | all_56_13 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | BETA: splitting (458) gives:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | |   (459)  all_56_3 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (79), (459) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | |   (460)  all_4_2 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | SIMP: (460) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | |   (461)  all_4_2 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (91), (461) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | |   (462)  all_58_21 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | BETA: splitting (109) gives:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | |   (463)  all_54_1 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (205), (463) are inconsistent by sub-proof
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | |            #769.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | |   (464)   ~ (all_54_1 = e1)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | |   (465)  all_54_1 = e3 | all_54_1 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | BETA: splitting (465) gives:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | |   (466)  all_54_1 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14), (466) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | |   (467)  all_52_4 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | SIMP: (467) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | |   (468)  all_52_4 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (70), (468) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | |   (469)  all_58_20 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (41), (43), (45), (98), (127), (462), (469) are
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #767.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | |   (470)  all_54_1 = e3
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (453), (470) are inconsistent by sub-proof
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | |            #864.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | |   (471)   ~ (all_56_3 = e1)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | REDUCE: (79), (471) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | |   (472)   ~ (all_4_2 = e1)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | BETA: splitting (109) gives:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | |   (473)  all_54_1 = e1
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (205), (473) are inconsistent by sub-proof
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | |            #769.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | |   (474)  all_54_1 = e3 | all_54_1 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | BETA: splitting (474) gives:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | |   (475)  all_54_1 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14), (475) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | |   (476)  all_52_4 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | SIMP: (476) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | |   (477)  all_52_4 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (477) imply:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | |   (478)   ~ (all_4_2 = e2)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | SIMP: (478) implies:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | |   (479)   ~ (all_4_2 = e2)
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (90), (100), (160), (472), (479) are inconsistent
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #958.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | |   (480)  all_54_1 = e3
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (453), (480) are inconsistent by sub-proof
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | |            #864.
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | |   (481)  all_54_0 = e3 | all_54_0 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | | REF_CLOSE: (80), (158), (197), (481) are inconsistent by
% 174.34/27.58  | | | | | | | | | | | | | | | |            sub-proof #843.
% 174.34/27.58  | | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | |   (482)  all_56_12 = e2
% 174.34/27.58  | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | COMBINE_EQS: (18), (482) imply:
% 174.34/27.58  | | | | | | | | | | | | | | |   (483)  e2 = e0
% 174.34/27.58  | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | REDUCE: (93), (483) imply:
% 174.34/27.58  | | | | | | | | | | | | | | |   (484)  $false
% 174.34/27.58  | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | | CLOSE: (484) is inconsistent.
% 174.34/27.58  | | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | |   (485)  all_56_6 = e3 | all_56_12 = e3
% 174.34/27.58  | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | BETA: splitting (485) gives:
% 174.34/27.58  | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | Case 1:
% 174.34/27.58  | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | |   (486)  all_56_6 = e3
% 174.34/27.58  | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | REF_CLOSE: (74), (148), (486) are inconsistent by sub-proof
% 174.34/27.58  | | | | | | | | | | | |            #766.
% 174.34/27.58  | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | Case 2:
% 174.34/27.58  | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | |   (487)  all_56_12 = e3
% 174.34/27.58  | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | COMBINE_EQS: (18), (487) imply:
% 174.34/27.58  | | | | | | | | | | | |   (488)  e3 = e0
% 174.34/27.58  | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | REDUCE: (61), (488) imply:
% 174.34/27.58  | | | | | | | | | | | |   (489)  $false
% 174.34/27.58  | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | | CLOSE: (489) is inconsistent.
% 174.34/27.58  | | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | | 
% 174.34/27.58  | | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | | 
% 174.34/27.58  | | | | | | | | End of split
% 174.34/27.58  | | | | | | | | 
% 174.34/27.58  | | | | | | | End of split
% 174.34/27.58  | | | | | | | 
% 174.34/27.58  | | | | | | End of split
% 174.34/27.58  | | | | | | 
% 174.34/27.58  | | | | | End of split
% 174.34/27.58  | | | | | 
% 174.34/27.58  | | | | End of split
% 174.34/27.58  | | | | 
% 174.34/27.58  | | | End of split
% 174.34/27.58  | | | 
% 174.34/27.58  | | End of split
% 174.34/27.58  | | 
% 174.34/27.58  | End of split
% 174.34/27.58  | 
% 174.34/27.58  End of proof
% 174.34/27.58  
% 174.34/27.58  Sub-proof #766 shows that the following formulas are inconsistent:
% 174.34/27.58  ----------------------------------------------------------------
% 174.34/27.58    (1)  all_56_6 = all_52_2
% 174.34/27.58    (2)  all_56_6 = e3
% 174.34/27.58    (3)   ~ (all_52_2 = e3)
% 174.34/27.58  
% 174.34/27.58  Begin of proof
% 174.34/27.58  | 
% 174.34/27.58  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.58  |   (4)  all_52_2 = e3
% 174.34/27.58  | 
% 174.34/27.58  | SIMP: (4) implies:
% 174.34/27.58  |   (5)  all_52_2 = e3
% 174.34/27.58  | 
% 174.34/27.58  | REDUCE: (3), (5) imply:
% 174.34/27.58  |   (6)  $false
% 174.34/27.58  | 
% 174.34/27.58  | CLOSE: (6) is inconsistent.
% 174.34/27.58  | 
% 174.34/27.58  End of proof
% 174.34/27.58  
% 174.34/27.58  Sub-proof #767 shows that the following formulas are inconsistent:
% 174.34/27.58  ----------------------------------------------------------------
% 174.34/27.58    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.34/27.58    (2)  all_58_22 = e0
% 174.34/27.58    (3)   ~ (e3 = e2)
% 174.34/27.58    (4)   ~ (e2 = e1)
% 174.34/27.58    (5)  all_58_20 = e2
% 174.34/27.58    (6)  all_58_21 = e1
% 174.34/27.58    (7)   ~ (e1 = e0)
% 174.34/27.58  
% 174.34/27.58  Begin of proof
% 174.34/27.58  | 
% 174.34/27.58  | BETA: splitting (1) gives:
% 174.34/27.58  | 
% 174.34/27.58  | Case 1:
% 174.34/27.58  | | 
% 174.34/27.58  | |   (8)  all_58_22 = e1
% 174.34/27.58  | | 
% 174.34/27.58  | | REF_CLOSE: (2), (7), (8) are inconsistent by sub-proof #923.
% 174.34/27.58  | | 
% 174.34/27.58  | Case 2:
% 174.34/27.58  | | 
% 174.34/27.58  | |   (9)  all_58_20 = e3 | all_58_21 = e2
% 174.34/27.58  | | 
% 174.34/27.58  | | BETA: splitting (9) gives:
% 174.34/27.58  | | 
% 174.34/27.58  | | Case 1:
% 174.34/27.58  | | | 
% 174.34/27.58  | | |   (10)  all_58_21 = e2
% 174.34/27.58  | | | 
% 174.34/27.58  | | | REF_CLOSE: (4), (6), (10) are inconsistent by sub-proof #897.
% 174.34/27.58  | | | 
% 174.34/27.58  | | Case 2:
% 174.34/27.58  | | | 
% 174.34/27.58  | | |   (11)  all_58_20 = e3
% 174.34/27.58  | | | 
% 174.34/27.58  | | | REF_CLOSE: (3), (5), (11) are inconsistent by sub-proof #768.
% 174.34/27.58  | | | 
% 174.34/27.58  | | End of split
% 174.34/27.58  | | 
% 174.34/27.58  | End of split
% 174.34/27.58  | 
% 174.34/27.58  End of proof
% 174.34/27.58  
% 174.34/27.58  Sub-proof #768 shows that the following formulas are inconsistent:
% 174.34/27.58  ----------------------------------------------------------------
% 174.34/27.58    (1)  all_58_20 = e3
% 174.34/27.58    (2)  all_58_20 = e2
% 174.34/27.58    (3)   ~ (e3 = e2)
% 174.34/27.58  
% 174.34/27.58  Begin of proof
% 174.34/27.58  | 
% 174.34/27.58  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.58  |   (4)  e3 = e2
% 174.34/27.58  | 
% 174.34/27.58  | SIMP: (4) implies:
% 174.34/27.59  |   (5)  e3 = e2
% 174.34/27.59  | 
% 174.34/27.59  | REDUCE: (3), (5) imply:
% 174.34/27.59  |   (6)  $false
% 174.34/27.59  | 
% 174.34/27.59  | CLOSE: (6) is inconsistent.
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #769 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)  all_54_1 = all_52_4
% 174.34/27.59    (2)  all_54_1 = e1
% 174.34/27.59    (3)   ~ (all_52_4 = e1)
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.59  | 
% 174.34/27.59  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.59  |   (4)  all_52_4 = e1
% 174.34/27.59  | 
% 174.34/27.59  | SIMP: (4) implies:
% 174.34/27.59  |   (5)  all_52_4 = e1
% 174.34/27.59  | 
% 174.34/27.59  | REDUCE: (3), (5) imply:
% 174.34/27.59  |   (6)  $false
% 174.34/27.59  | 
% 174.34/27.59  | CLOSE: (6) is inconsistent.
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #770 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)  all_54_13 = e3 | all_54_13 = e2
% 174.34/27.59    (2)  all_54_13 = all_52_7
% 174.34/27.59    (3)   ~ (all_52_7 = e2)
% 174.34/27.59    (4)   ~ (all_52_7 = e3)
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.59  | 
% 174.34/27.59  | BETA: splitting (1) gives:
% 174.34/27.59  | 
% 174.34/27.59  | Case 1:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (5)  all_54_13 = e2
% 174.34/27.59  | | 
% 174.34/27.59  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #771.
% 174.34/27.59  | | 
% 174.34/27.59  | Case 2:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (6)  all_54_13 = e3
% 174.34/27.59  | | 
% 174.34/27.59  | | COMBINE_EQS: (2), (6) imply:
% 174.34/27.59  | |   (7)  all_52_7 = e3
% 174.34/27.59  | | 
% 174.34/27.59  | | SIMP: (7) implies:
% 174.34/27.59  | |   (8)  all_52_7 = e3
% 174.34/27.59  | | 
% 174.34/27.59  | | REDUCE: (4), (8) imply:
% 174.34/27.59  | |   (9)  $false
% 174.34/27.59  | | 
% 174.34/27.59  | | CLOSE: (9) is inconsistent.
% 174.34/27.59  | | 
% 174.34/27.59  | End of split
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #771 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)  all_54_13 = all_52_7
% 174.34/27.59    (2)  all_54_13 = e2
% 174.34/27.59    (3)   ~ (all_52_7 = e2)
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.59  | 
% 174.34/27.59  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.59  |   (4)  all_52_7 = e2
% 174.34/27.59  | 
% 174.34/27.59  | SIMP: (4) implies:
% 174.34/27.59  |   (5)  all_52_7 = e2
% 174.34/27.59  | 
% 174.34/27.59  | REDUCE: (3), (5) imply:
% 174.34/27.59  |   (6)  $false
% 174.34/27.59  | 
% 174.34/27.59  | CLOSE: (6) is inconsistent.
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #772 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)  all_54_14 = e3 | all_54_14 = e2
% 174.34/27.59    (2)  all_54_14 = all_52_11
% 174.34/27.59    (3)   ~ (all_52_11 = e2)
% 174.34/27.59    (4)   ~ (all_52_11 = e3)
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.59  | 
% 174.34/27.59  | BETA: splitting (1) gives:
% 174.34/27.59  | 
% 174.34/27.59  | Case 1:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (5)  all_54_14 = e2
% 174.34/27.59  | | 
% 174.34/27.59  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #773.
% 174.34/27.59  | | 
% 174.34/27.59  | Case 2:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (6)  all_54_14 = e3
% 174.34/27.59  | | 
% 174.34/27.59  | | COMBINE_EQS: (2), (6) imply:
% 174.34/27.59  | |   (7)  all_52_11 = e3
% 174.34/27.59  | | 
% 174.34/27.59  | | SIMP: (7) implies:
% 174.34/27.59  | |   (8)  all_52_11 = e3
% 174.34/27.59  | | 
% 174.34/27.59  | | REDUCE: (4), (8) imply:
% 174.34/27.59  | |   (9)  $false
% 174.34/27.59  | | 
% 174.34/27.59  | | CLOSE: (9) is inconsistent.
% 174.34/27.59  | | 
% 174.34/27.59  | End of split
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #773 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)  all_54_14 = all_52_11
% 174.34/27.59    (2)  all_54_14 = e2
% 174.34/27.59    (3)   ~ (all_52_11 = e2)
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.59  | 
% 174.34/27.59  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.59  |   (4)  all_52_11 = e2
% 174.34/27.59  | 
% 174.34/27.59  | SIMP: (4) implies:
% 174.34/27.59  |   (5)  all_52_11 = e2
% 174.34/27.59  | 
% 174.34/27.59  | REDUCE: (3), (5) imply:
% 174.34/27.59  |   (6)  $false
% 174.34/27.59  | 
% 174.34/27.59  | CLOSE: (6) is inconsistent.
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #774 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.59    (2)   ~ (e2 = e1)
% 174.34/27.59    (3)   ~ (e3 = e0)
% 174.34/27.59    (4)  all_58_24 = e0
% 174.34/27.59    (5)  (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 174.34/27.59         (all_58_22 = e1 & all_58_25 = e1 & e2 = e1)
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.59  | 
% 174.34/27.59  | BETA: splitting (5) gives:
% 174.34/27.59  | 
% 174.34/27.59  | Case 1:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (6)  all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 & all_58_30 = e0
% 174.34/27.59  | | 
% 174.34/27.59  | | ALPHA: (6) implies:
% 174.34/27.59  | |   (7)  all_58_25 = e1
% 174.34/27.59  | | 
% 174.34/27.59  | | REF_CLOSE: (1), (2), (3), (4), (7) are inconsistent by sub-proof #789.
% 174.34/27.59  | | 
% 174.34/27.59  | Case 2:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (8)  all_58_22 = e1 & all_58_25 = e1 & e2 = e1
% 174.34/27.59  | | 
% 174.34/27.59  | | ALPHA: (8) implies:
% 174.34/27.59  | |   (9)  all_58_25 = e1
% 174.34/27.59  | | 
% 174.34/27.59  | | REF_CLOSE: (1), (2), (3), (4), (9) are inconsistent by sub-proof #789.
% 174.34/27.59  | | 
% 174.34/27.59  | End of split
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #775 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)   ~ (e3 = e1)
% 174.34/27.59    (2)  all_58_24 = e1
% 174.34/27.59    (3)  e1 = e0
% 174.34/27.59    (4)  all_58_26 = all_10_2
% 174.34/27.59    (5)   ~ (all_10_2 = e1)
% 174.34/27.59    (6)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.34/27.59    (7)  e2 = e1
% 174.34/27.59    (8)   ~ (e2 = e0)
% 174.34/27.59    (9)  all_58_25 = e2
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.59  | 
% 174.34/27.59  | SIMP: (3) implies:
% 174.34/27.59  |   (10)  e1 = e0
% 174.34/27.59  | 
% 174.34/27.59  | COMBINE_EQS: (7), (10) imply:
% 174.34/27.59  |   (11)  e2 = e0
% 174.34/27.59  | 
% 174.34/27.59  | COMBINE_EQS: (9), (11) imply:
% 174.34/27.59  |   (12)  all_58_25 = e0
% 174.34/27.59  | 
% 174.34/27.59  | REF_CLOSE: (1), (2), (4), (5), (6), (8), (12) are inconsistent by sub-proof
% 174.34/27.59  |            #966.
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #776 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)   ~ (e3 = e1)
% 174.34/27.59    (2)  all_56_8 = e3
% 174.34/27.59    (3)  all_56_11 = e1
% 174.34/27.59    (4)   ~ (e3 = e0)
% 174.34/27.59    (5)  all_56_8 = e3 | all_56_11 = e3
% 174.34/27.59    (6)  e3 = e0
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.59  | 
% 174.34/27.59  | SIMP: (6) implies:
% 174.34/27.59  |   (7)  e3 = e0
% 174.34/27.59  | 
% 174.34/27.59  | COMBINE_EQS: (2), (7) imply:
% 174.34/27.59  |   (8)  all_56_8 = e0
% 174.34/27.59  | 
% 174.34/27.59  | REF_CLOSE: (1), (3), (4), (5), (8) are inconsistent by sub-proof #780.
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #777 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)  all_58_17 = e2 & all_58_20 = e2 & e3 = e2
% 174.34/27.59    (2)  all_58_20 = e3
% 174.34/27.59    (3)   ~ (e3 = e2)
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.59  | 
% 174.34/27.59  | ALPHA: (1) implies:
% 174.34/27.59  |   (4)  all_58_20 = e2
% 174.34/27.59  | 
% 174.34/27.59  | COMBINE_EQS: (2), (4) imply:
% 174.34/27.59  |   (5)  e3 = e2
% 174.34/27.59  | 
% 174.34/27.59  | REDUCE: (3), (5) imply:
% 174.34/27.59  |   (6)  $false
% 174.34/27.59  | 
% 174.34/27.59  | CLOSE: (6) is inconsistent.
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #778 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)   ~ (e3 = e1)
% 174.34/27.59    (2)  all_56_8 = e3
% 174.34/27.59    (3)  all_56_11 = e1
% 174.34/27.59    (4)  all_58_28 = e3
% 174.34/27.59    (5)  all_58_19 = e3
% 174.34/27.59    (6)  all_58_19 = e0
% 174.34/27.59    (7)   ~ (e3 = e0)
% 174.34/27.59    (8)  all_56_8 = e3 | all_56_11 = e3
% 174.34/27.59    (9)  all_58_28 = e2
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.59  | 
% 174.34/27.59  | COMBINE_EQS: (5), (6) imply:
% 174.34/27.59  |   (10)  e3 = e0
% 174.34/27.59  | 
% 174.34/27.59  | SIMP: (10) implies:
% 174.34/27.59  |   (11)  e3 = e0
% 174.34/27.59  | 
% 174.34/27.59  | COMBINE_EQS: (4), (9) imply:
% 174.34/27.59  |   (12)  e3 = e2
% 174.34/27.59  | 
% 174.34/27.59  | COMBINE_EQS: (11), (12) imply:
% 174.34/27.59  |   (13)  e2 = e0
% 174.34/27.59  | 
% 174.34/27.59  | REF_CLOSE: (1), (2), (3), (7), (8), (12), (13) are inconsistent by sub-proof
% 174.34/27.59  |            #779.
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #779 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)   ~ (e3 = e1)
% 174.34/27.59    (2)  all_56_8 = e3
% 174.34/27.59    (3)  all_56_11 = e1
% 174.34/27.59    (4)  e3 = e2
% 174.34/27.59    (5)   ~ (e3 = e0)
% 174.34/27.59    (6)  all_56_8 = e3 | all_56_11 = e3
% 174.34/27.59    (7)  e2 = e0
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.59  | 
% 174.34/27.59  | COMBINE_EQS: (4), (7) imply:
% 174.34/27.59  |   (8)  e3 = e0
% 174.34/27.59  | 
% 174.34/27.59  | COMBINE_EQS: (2), (8) imply:
% 174.34/27.59  |   (9)  all_56_8 = e0
% 174.34/27.59  | 
% 174.34/27.59  | REF_CLOSE: (1), (3), (5), (6), (9) are inconsistent by sub-proof #780.
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #780 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)   ~ (e3 = e1)
% 174.34/27.59    (2)  all_56_11 = e1
% 174.34/27.59    (3)  all_56_8 = e0
% 174.34/27.59    (4)   ~ (e3 = e0)
% 174.34/27.59    (5)  all_56_8 = e3 | all_56_11 = e3
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.59  | 
% 174.34/27.59  | BETA: splitting (5) gives:
% 174.34/27.59  | 
% 174.34/27.59  | Case 1:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (6)  all_56_8 = e3
% 174.34/27.59  | | 
% 174.34/27.59  | | COMBINE_EQS: (3), (6) imply:
% 174.34/27.59  | |   (7)  e3 = e0
% 174.34/27.59  | | 
% 174.34/27.59  | | REDUCE: (4), (7) imply:
% 174.34/27.59  | |   (8)  $false
% 174.34/27.59  | | 
% 174.34/27.59  | | CLOSE: (8) is inconsistent.
% 174.34/27.59  | | 
% 174.34/27.59  | Case 2:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (9)  all_56_11 = e3
% 174.34/27.59  | | 
% 174.34/27.59  | | COMBINE_EQS: (2), (9) imply:
% 174.34/27.59  | |   (10)  e3 = e1
% 174.34/27.59  | | 
% 174.34/27.59  | | REDUCE: (1), (10) imply:
% 174.34/27.59  | |   (11)  $false
% 174.34/27.59  | | 
% 174.34/27.59  | | CLOSE: (11) is inconsistent.
% 174.34/27.59  | | 
% 174.34/27.59  | End of split
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #781 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)  all_56_4 = e2 | all_56_9 = e2
% 174.34/27.59    (2)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.59    (3)   ~ (e3 = e2)
% 174.34/27.59    (4)  all_56_9 = e2
% 174.34/27.59    (5)  all_56_4 = all_52_8
% 174.34/27.59    (6)  all_58_24 = all_52_8
% 174.34/27.59    (7)   ~ (e2 = e0)
% 174.34/27.59    (8)  e2 = e0
% 174.34/27.59    (9)  all_58_25 = e2
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.59  | 
% 174.34/27.59  | COMBINE_EQS: (4), (8) imply:
% 174.34/27.59  |   (10)  all_56_9 = e0
% 174.34/27.59  | 
% 174.34/27.59  | COMBINE_EQS: (8), (9) imply:
% 174.34/27.59  |   (11)  all_58_25 = e0
% 174.34/27.59  | 
% 174.34/27.59  | REF_CLOSE: (1), (2), (3), (5), (6), (7), (10), (11) are inconsistent by
% 174.34/27.59  |            sub-proof #782.
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #782 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)  all_56_4 = e2 | all_56_9 = e2
% 174.34/27.59    (2)  all_58_25 = e0
% 174.34/27.59    (3)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.59    (4)  all_56_9 = e0
% 174.34/27.59    (5)   ~ (e3 = e2)
% 174.34/27.59    (6)  all_56_4 = all_52_8
% 174.34/27.59    (7)  all_58_24 = all_52_8
% 174.34/27.59    (8)   ~ (e2 = e0)
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.59  | 
% 174.34/27.59  | BETA: splitting (3) gives:
% 174.34/27.59  | 
% 174.34/27.59  | Case 1:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (9)  all_58_25 = e2
% 174.34/27.59  | | 
% 174.34/27.59  | | REF_CLOSE: (2), (8), (9) are inconsistent by sub-proof #850.
% 174.34/27.59  | | 
% 174.34/27.59  | Case 2:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (10)  all_58_24 = e3
% 174.34/27.59  | | 
% 174.34/27.59  | | COMBINE_EQS: (7), (10) imply:
% 174.34/27.59  | |   (11)  all_52_8 = e3
% 174.34/27.59  | | 
% 174.34/27.59  | | COMBINE_EQS: (6), (11) imply:
% 174.34/27.59  | |   (12)  all_56_4 = e3
% 174.34/27.59  | | 
% 174.34/27.59  | | REF_CLOSE: (1), (4), (5), (8), (12) are inconsistent by sub-proof #783.
% 174.34/27.59  | | 
% 174.34/27.59  | End of split
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #783 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)  all_56_4 = e3
% 174.34/27.59    (2)  all_56_4 = e2 | all_56_9 = e2
% 174.34/27.59    (3)  all_56_9 = e0
% 174.34/27.59    (4)   ~ (e3 = e2)
% 174.34/27.59    (5)   ~ (e2 = e0)
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.59  | 
% 174.34/27.59  | BETA: splitting (2) gives:
% 174.34/27.59  | 
% 174.34/27.59  | Case 1:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (6)  all_56_4 = e2
% 174.34/27.59  | | 
% 174.34/27.59  | | REF_CLOSE: (1), (4), (6) are inconsistent by sub-proof #978.
% 174.34/27.59  | | 
% 174.34/27.59  | Case 2:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (7)  all_56_9 = e2
% 174.34/27.59  | | 
% 174.34/27.59  | | COMBINE_EQS: (3), (7) imply:
% 174.34/27.59  | |   (8)  e2 = e0
% 174.34/27.59  | | 
% 174.34/27.59  | | REDUCE: (5), (8) imply:
% 174.34/27.59  | |   (9)  $false
% 174.34/27.59  | | 
% 174.34/27.59  | | CLOSE: (9) is inconsistent.
% 174.34/27.59  | | 
% 174.34/27.59  | End of split
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #784 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.59    (2)   ~ (e2 = e1)
% 174.34/27.59    (3)  e2 = e1
% 174.34/27.59    (4)   ~ (e3 = e0)
% 174.34/27.59    (5)  all_58_24 = e0
% 174.34/27.59    (6)  all_58_25 = e2
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.59  | 
% 174.34/27.59  | SIMP: (3) implies:
% 174.34/27.59  |   (7)  e2 = e1
% 174.34/27.59  | 
% 174.34/27.59  | COMBINE_EQS: (6), (7) imply:
% 174.34/27.59  |   (8)  all_58_25 = e1
% 174.34/27.59  | 
% 174.34/27.59  | REF_CLOSE: (1), (2), (4), (5), (8) are inconsistent by sub-proof #789.
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #785 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)  all_56_0 = e2
% 174.34/27.59    (2)  all_56_0 = e1
% 174.34/27.59    (3)   ~ (e2 = e1)
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.59  | 
% 174.34/27.59  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.59  |   (4)  e2 = e1
% 174.34/27.59  | 
% 174.34/27.59  | SIMP: (4) implies:
% 174.34/27.59  |   (5)  e2 = e1
% 174.34/27.59  | 
% 174.34/27.59  | REDUCE: (3), (5) imply:
% 174.34/27.59  |   (6)  $false
% 174.34/27.59  | 
% 174.34/27.59  | CLOSE: (6) is inconsistent.
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #786 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)  all_54_8 = all_52_2
% 174.34/27.59    (2)  all_54_8 = e3
% 174.34/27.59    (3)   ~ (all_52_2 = e3)
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.59  | 
% 174.34/27.59  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.59  |   (4)  all_52_2 = e3
% 174.34/27.59  | 
% 174.34/27.59  | SIMP: (4) implies:
% 174.34/27.59  |   (5)  all_52_2 = e3
% 174.34/27.59  | 
% 174.34/27.59  | REDUCE: (3), (5) imply:
% 174.34/27.59  |   (6)  $false
% 174.34/27.59  | 
% 174.34/27.59  | CLOSE: (6) is inconsistent.
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #787 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)  all_54_8 = all_52_2
% 174.34/27.59    (2)  all_54_8 = e2
% 174.34/27.59    (3)   ~ (all_52_2 = e2)
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.59  | 
% 174.34/27.59  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.59  |   (4)  all_52_2 = e2
% 174.34/27.59  | 
% 174.34/27.59  | SIMP: (4) implies:
% 174.34/27.59  |   (5)  all_52_2 = e2
% 174.34/27.59  | 
% 174.34/27.59  | REDUCE: (3), (5) imply:
% 174.34/27.59  |   (6)  $false
% 174.34/27.59  | 
% 174.34/27.59  | CLOSE: (6) is inconsistent.
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #788 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)   ~ (all_52_4 = all_4_2)
% 174.34/27.59    (2)  all_56_5 = all_52_9
% 174.34/27.59    (3)  all_56_10 = e0
% 174.34/27.59    (4)  all_54_1 = all_52_4
% 174.34/27.59    (5)   ~ (all_52_4 = e0)
% 174.34/27.59    (6)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.59    (7)  all_58_28 = e3 | all_58_29 = e2
% 174.34/27.59    (8)   ~ (all_52_12 = e0)
% 174.34/27.59    (9)   ~ (all_52_4 = e2)
% 174.34/27.59    (10)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 174.34/27.59    (11)   ~ (all_52_4 = all_52_12)
% 174.34/27.59    (12)  all_56_3 = all_4_2
% 174.34/27.59    (13)  all_58_29 = e0
% 174.34/27.59    (14)  all_58_24 = e0
% 174.34/27.59    (15)  all_58_25 = all_52_9
% 174.34/27.59    (16)  all_56_3 = e1 | all_56_5 = e1 | all_56_10 = e1
% 174.34/27.59    (17)   ~ (e2 = e0)
% 174.34/27.59    (18)  all_58_28 = all_52_12
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.59  | 
% 174.34/27.59  | BETA: splitting (7) gives:
% 174.34/27.59  | 
% 174.34/27.59  | Case 1:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (19)  all_58_29 = e2
% 174.34/27.59  | | 
% 174.34/27.59  | | REF_CLOSE: (13), (17), (19) are inconsistent by sub-proof #889.
% 174.34/27.59  | | 
% 174.34/27.59  | Case 2:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (20)  all_58_28 = e3
% 174.34/27.59  | | 
% 174.34/27.59  | | COMBINE_EQS: (18), (20) imply:
% 174.34/27.59  | |   (21)  all_52_12 = e3
% 174.34/27.59  | | 
% 174.34/27.59  | | REDUCE: (11), (21) imply:
% 174.34/27.59  | |   (22)   ~ (all_52_4 = e3)
% 174.34/27.59  | | 
% 174.34/27.59  | | REDUCE: (8), (21) imply:
% 174.34/27.59  | |   (23)   ~ (e3 = e0)
% 174.34/27.59  | | 
% 174.34/27.59  | | BETA: splitting (10) gives:
% 174.34/27.59  | | 
% 174.34/27.59  | | Case 1:
% 174.34/27.59  | | | 
% 174.34/27.59  | | |   (24)  all_54_1 = e1
% 174.34/27.59  | | | 
% 174.34/27.59  | | | COMBINE_EQS: (4), (24) imply:
% 174.34/27.59  | | |   (25)  all_52_4 = e1
% 174.34/27.59  | | | 
% 174.34/27.59  | | | SIMP: (25) implies:
% 174.34/27.59  | | |   (26)  all_52_4 = e1
% 174.34/27.59  | | | 
% 174.34/27.59  | | | REDUCE: (1), (26) imply:
% 174.34/27.59  | | |   (27)   ~ (all_4_2 = e1)
% 174.34/27.59  | | | 
% 174.34/27.59  | | | SIMP: (27) implies:
% 174.34/27.59  | | |   (28)   ~ (all_4_2 = e1)
% 174.34/27.59  | | | 
% 174.34/27.59  | | | REDUCE: (9), (26) imply:
% 174.34/27.59  | | |   (29)   ~ (e2 = e1)
% 174.34/27.59  | | | 
% 174.34/27.59  | | | SIMP: (29) implies:
% 174.34/27.59  | | |   (30)   ~ (e2 = e1)
% 174.34/27.59  | | | 
% 174.34/27.59  | | | REDUCE: (5), (26) imply:
% 174.34/27.59  | | |   (31)   ~ (e1 = e0)
% 174.34/27.59  | | | 
% 174.34/27.59  | | | BETA: splitting (16) gives:
% 174.34/27.59  | | | 
% 174.34/27.59  | | | Case 1:
% 174.34/27.59  | | | | 
% 174.34/27.59  | | | |   (32)  all_56_3 = e1
% 174.34/27.59  | | | | 
% 174.34/27.59  | | | | COMBINE_EQS: (12), (32) imply:
% 174.34/27.59  | | | |   (33)  all_4_2 = e1
% 174.34/27.59  | | | | 
% 174.34/27.59  | | | | REDUCE: (28), (33) imply:
% 174.34/27.59  | | | |   (34)  $false
% 174.34/27.59  | | | | 
% 174.34/27.59  | | | | CLOSE: (34) is inconsistent.
% 174.34/27.59  | | | | 
% 174.34/27.59  | | | Case 2:
% 174.34/27.59  | | | | 
% 174.34/27.59  | | | |   (35)  all_56_5 = e1 | all_56_10 = e1
% 174.34/27.59  | | | | 
% 174.34/27.59  | | | | BETA: splitting (35) gives:
% 174.34/27.59  | | | | 
% 174.34/27.59  | | | | Case 1:
% 174.34/27.59  | | | | | 
% 174.34/27.59  | | | | |   (36)  all_56_5 = e1
% 174.34/27.59  | | | | | 
% 174.34/27.59  | | | | | COMBINE_EQS: (2), (36) imply:
% 174.34/27.59  | | | | |   (37)  all_52_9 = e1
% 174.34/27.59  | | | | | 
% 174.34/27.59  | | | | | COMBINE_EQS: (15), (37) imply:
% 174.34/27.59  | | | | |   (38)  all_58_25 = e1
% 174.34/27.59  | | | | | 
% 174.34/27.59  | | | | | REF_CLOSE: (6), (14), (23), (30), (38) are inconsistent by sub-proof
% 174.34/27.59  | | | | |            #789.
% 174.34/27.59  | | | | | 
% 174.34/27.59  | | | | Case 2:
% 174.34/27.59  | | | | | 
% 174.34/27.59  | | | | |   (39)  all_56_10 = e1
% 174.34/27.59  | | | | | 
% 174.34/27.59  | | | | | COMBINE_EQS: (3), (39) imply:
% 174.34/27.59  | | | | |   (40)  e1 = e0
% 174.34/27.59  | | | | | 
% 174.34/27.59  | | | | | REDUCE: (31), (40) imply:
% 174.34/27.59  | | | | |   (41)  $false
% 174.34/27.59  | | | | | 
% 174.34/27.59  | | | | | CLOSE: (41) is inconsistent.
% 174.34/27.59  | | | | | 
% 174.34/27.59  | | | | End of split
% 174.34/27.59  | | | | 
% 174.34/27.59  | | | End of split
% 174.34/27.59  | | | 
% 174.34/27.59  | | Case 2:
% 174.34/27.59  | | | 
% 174.34/27.59  | | |   (42)  all_54_1 = e3 | all_54_1 = e2
% 174.34/27.59  | | | 
% 174.34/27.59  | | | REF_CLOSE: (4), (9), (22), (42) are inconsistent by sub-proof #863.
% 174.34/27.59  | | | 
% 174.34/27.59  | | End of split
% 174.34/27.59  | | 
% 174.34/27.59  | End of split
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #789 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)  all_58_25 = e1
% 174.34/27.59    (2)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.59    (3)   ~ (e2 = e1)
% 174.34/27.59    (4)   ~ (e3 = e0)
% 174.34/27.59    (5)  all_58_24 = e0
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.59  | 
% 174.34/27.59  | BETA: splitting (2) gives:
% 174.34/27.59  | 
% 174.34/27.59  | Case 1:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (6)  all_58_25 = e2
% 174.34/27.59  | | 
% 174.34/27.59  | | COMBINE_EQS: (1), (6) imply:
% 174.34/27.59  | |   (7)  e2 = e1
% 174.34/27.59  | | 
% 174.34/27.59  | | SIMP: (7) implies:
% 174.34/27.59  | |   (8)  e2 = e1
% 174.34/27.59  | | 
% 174.34/27.59  | | REDUCE: (3), (8) imply:
% 174.34/27.59  | |   (9)  $false
% 174.34/27.59  | | 
% 174.34/27.59  | | CLOSE: (9) is inconsistent.
% 174.34/27.59  | | 
% 174.34/27.59  | Case 2:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (10)  all_58_24 = e3
% 174.34/27.59  | | 
% 174.34/27.59  | | REF_CLOSE: (4), (5), (10) are inconsistent by sub-proof #926.
% 174.34/27.59  | | 
% 174.34/27.59  | End of split
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #790 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.34/27.59    (2)   ~ (all_52_9 = all_4_2)
% 174.34/27.59    (3)   ~ (all_52_4 = e3)
% 174.34/27.59    (4)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.34/27.59    (5)  all_58_26 = all_10_2
% 174.34/27.59    (6)   ~ (all_52_12 = e3)
% 174.34/27.59    (7)  all_58_30 = all_52_14
% 174.34/27.59    (8)  all_58_22 = e0
% 174.34/27.59    (9)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.34/27.59    (10)   ~ (e3 = e0)
% 174.34/27.59    (11)   ~ (all_4_2 = e0)
% 174.34/27.59    (12)  all_58_20 = all_52_4
% 174.34/27.59    (13)  all_58_29 = e0
% 174.34/27.59    (14)   ~ (all_52_14 = all_10_2)
% 174.34/27.59    (15)  all_58_24 = e0
% 174.34/27.59    (16)  all_58_25 = all_52_9
% 174.34/27.59    (17)  all_58_21 = all_4_2
% 174.34/27.59    (18)  all_58_28 = all_52_12
% 174.34/27.59    (19)   ~ (e1 = e0)
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.59  | 
% 174.34/27.59  | BETA: splitting (1) gives:
% 174.34/27.59  | 
% 174.34/27.59  | Case 1:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (20)  all_58_22 = e1
% 174.34/27.59  | | 
% 174.34/27.59  | | REF_CLOSE: (8), (19), (20) are inconsistent by sub-proof #923.
% 174.34/27.59  | | 
% 174.34/27.59  | Case 2:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (21)  all_58_20 = e3 | all_58_21 = e2
% 174.34/27.59  | | 
% 174.34/27.59  | | BETA: splitting (21) gives:
% 174.34/27.59  | | 
% 174.34/27.59  | | Case 1:
% 174.34/27.59  | | | 
% 174.34/27.59  | | |   (22)  all_58_21 = e2
% 174.34/27.59  | | | 
% 174.34/27.59  | | | COMBINE_EQS: (17), (22) imply:
% 174.34/27.59  | | |   (23)  all_4_2 = e2
% 174.34/27.59  | | | 
% 174.34/27.59  | | | REDUCE: (2), (23) imply:
% 174.34/27.59  | | |   (24)   ~ (all_52_9 = e2)
% 174.34/27.59  | | | 
% 174.34/27.59  | | | REDUCE: (11), (23) imply:
% 174.34/27.59  | | |   (25)   ~ (e2 = e0)
% 174.34/27.59  | | | 
% 174.34/27.59  | | | REF_CLOSE: (4), (5), (6), (7), (9), (10), (13), (14), (15), (16), (18),
% 174.34/27.59  | | |            (24), (25) are inconsistent by sub-proof #794.
% 174.34/27.59  | | | 
% 174.34/27.59  | | Case 2:
% 174.34/27.59  | | | 
% 174.34/27.59  | | |   (26)  all_58_20 = e3
% 174.34/27.59  | | | 
% 174.34/27.59  | | | COMBINE_EQS: (12), (26) imply:
% 174.34/27.59  | | |   (27)  all_52_4 = e3
% 174.34/27.59  | | | 
% 174.34/27.59  | | | REDUCE: (3), (27) imply:
% 174.34/27.59  | | |   (28)  $false
% 174.34/27.59  | | | 
% 174.34/27.59  | | | CLOSE: (28) is inconsistent.
% 174.34/27.59  | | | 
% 174.34/27.59  | | End of split
% 174.34/27.59  | | 
% 174.34/27.59  | End of split
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #791 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)  all_56_6 = e2 | all_56_12 = e2
% 174.34/27.59    (2)  all_56_12 = e0
% 174.34/27.59    (3)  all_56_6 = e3
% 174.34/27.59    (4)   ~ (e3 = e2)
% 174.34/27.59    (5)   ~ (e2 = e0)
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.59  | 
% 174.34/27.59  | BETA: splitting (1) gives:
% 174.34/27.59  | 
% 174.34/27.59  | Case 1:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (6)  all_56_6 = e2
% 174.34/27.59  | | 
% 174.34/27.59  | | REF_CLOSE: (3), (4), (6) are inconsistent by sub-proof #792.
% 174.34/27.59  | | 
% 174.34/27.59  | Case 2:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (7)  all_56_12 = e2
% 174.34/27.59  | | 
% 174.34/27.59  | | COMBINE_EQS: (2), (7) imply:
% 174.34/27.59  | |   (8)  e2 = e0
% 174.34/27.59  | | 
% 174.34/27.59  | | REDUCE: (5), (8) imply:
% 174.34/27.59  | |   (9)  $false
% 174.34/27.59  | | 
% 174.34/27.59  | | CLOSE: (9) is inconsistent.
% 174.34/27.59  | | 
% 174.34/27.59  | End of split
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #792 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)  all_56_6 = e3
% 174.34/27.59    (2)  all_56_6 = e2
% 174.34/27.59    (3)   ~ (e3 = e2)
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.59  | 
% 174.34/27.59  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.59  |   (4)  e3 = e2
% 174.34/27.59  | 
% 174.34/27.59  | SIMP: (4) implies:
% 174.34/27.59  |   (5)  e3 = e2
% 174.34/27.59  | 
% 174.34/27.59  | REDUCE: (3), (5) imply:
% 174.34/27.59  |   (6)  $false
% 174.34/27.59  | 
% 174.34/27.59  | CLOSE: (6) is inconsistent.
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #793 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.34/27.59    (2)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.34/27.59    (3)  all_58_26 = all_10_2
% 174.34/27.59    (4)   ~ (all_52_4 = e0)
% 174.34/27.59    (5)  all_58_30 = all_52_14
% 174.34/27.59    (6)  all_58_22 = e0
% 174.34/27.59    (7)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.34/27.59    (8)   ~ (all_52_1 = all_4_2)
% 174.34/27.59    (9)  all_56_2 = all_52_1
% 174.34/27.59    (10)  all_58_20 = all_52_4
% 174.34/27.59    (11)  all_56_2 = e2
% 174.34/27.59    (12)   ~ (all_52_1 = all_52_9)
% 174.34/27.59    (13)   ~ (all_52_4 = all_52_12)
% 174.34/27.59    (14)  all_58_29 = e0
% 174.34/27.59    (15)   ~ (all_52_14 = all_10_2)
% 174.34/27.59    (16)  all_58_24 = e0
% 174.34/27.59    (17)   ~ (all_52_1 = e0)
% 174.34/27.59    (18)  all_58_25 = all_52_9
% 174.34/27.59    (19)  all_58_21 = all_4_2
% 174.34/27.59    (20)  all_58_28 = all_52_12
% 174.34/27.59    (21)   ~ (e1 = e0)
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.59  | 
% 174.34/27.59  | COMBINE_EQS: (9), (11) imply:
% 174.34/27.59  |   (22)  all_52_1 = e2
% 174.34/27.59  | 
% 174.34/27.59  | REDUCE: (12), (22) imply:
% 174.34/27.59  |   (23)   ~ (all_52_9 = e2)
% 174.34/27.59  | 
% 174.34/27.59  | SIMP: (23) implies:
% 174.34/27.59  |   (24)   ~ (all_52_9 = e2)
% 174.34/27.59  | 
% 174.34/27.59  | REDUCE: (8), (22) imply:
% 174.34/27.59  |   (25)   ~ (all_4_2 = e2)
% 174.34/27.59  | 
% 174.34/27.59  | SIMP: (25) implies:
% 174.34/27.59  |   (26)   ~ (all_4_2 = e2)
% 174.34/27.59  | 
% 174.34/27.59  | REDUCE: (17), (22) imply:
% 174.34/27.59  |   (27)   ~ (e2 = e0)
% 174.34/27.59  | 
% 174.34/27.59  | BETA: splitting (1) gives:
% 174.34/27.59  | 
% 174.34/27.59  | Case 1:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (28)  all_58_22 = e1
% 174.34/27.59  | | 
% 174.34/27.59  | | REF_CLOSE: (6), (21), (28) are inconsistent by sub-proof #923.
% 174.34/27.59  | | 
% 174.34/27.59  | Case 2:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (29)  all_58_20 = e3 | all_58_21 = e2
% 174.34/27.59  | | 
% 174.34/27.59  | | BETA: splitting (29) gives:
% 174.34/27.59  | | 
% 174.34/27.59  | | Case 1:
% 174.34/27.59  | | | 
% 174.34/27.59  | | |   (30)  all_58_21 = e2
% 174.34/27.59  | | | 
% 174.34/27.59  | | | COMBINE_EQS: (19), (30) imply:
% 174.34/27.59  | | |   (31)  all_4_2 = e2
% 174.34/27.59  | | | 
% 174.34/27.59  | | | REDUCE: (26), (31) imply:
% 174.34/27.59  | | |   (32)  $false
% 174.34/27.59  | | | 
% 174.34/27.59  | | | CLOSE: (32) is inconsistent.
% 174.34/27.59  | | | 
% 174.34/27.59  | | Case 2:
% 174.34/27.59  | | | 
% 174.34/27.59  | | |   (33)  all_58_20 = e3
% 174.34/27.59  | | | 
% 174.34/27.59  | | | COMBINE_EQS: (10), (33) imply:
% 174.34/27.59  | | |   (34)  all_52_4 = e3
% 174.34/27.59  | | | 
% 174.34/27.59  | | | REDUCE: (13), (34) imply:
% 174.34/27.59  | | |   (35)   ~ (all_52_12 = e3)
% 174.34/27.59  | | | 
% 174.34/27.59  | | | SIMP: (35) implies:
% 174.34/27.59  | | |   (36)   ~ (all_52_12 = e3)
% 174.34/27.59  | | | 
% 174.34/27.59  | | | REDUCE: (4), (34) imply:
% 174.34/27.59  | | |   (37)   ~ (e3 = e0)
% 174.34/27.59  | | | 
% 174.34/27.59  | | | REF_CLOSE: (2), (3), (5), (7), (14), (15), (16), (18), (20), (24), (27),
% 174.34/27.59  | | |            (36), (37) are inconsistent by sub-proof #794.
% 174.34/27.59  | | | 
% 174.34/27.59  | | End of split
% 174.34/27.59  | | 
% 174.34/27.59  | End of split
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #794 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.34/27.59    (2)  all_58_26 = all_10_2
% 174.34/27.59    (3)   ~ (all_52_12 = e3)
% 174.34/27.59    (4)  all_58_30 = all_52_14
% 174.34/27.59    (5)   ~ (all_52_9 = e2)
% 174.34/27.59    (6)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.34/27.59    (7)   ~ (e3 = e0)
% 174.34/27.59    (8)  all_58_29 = e0
% 174.34/27.59    (9)   ~ (all_52_14 = all_10_2)
% 174.34/27.59    (10)  all_58_24 = e0
% 174.34/27.59    (11)  all_58_25 = all_52_9
% 174.34/27.59    (12)   ~ (e2 = e0)
% 174.34/27.59    (13)  all_58_28 = all_52_12
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.59  | 
% 174.34/27.59  | BETA: splitting (6) gives:
% 174.34/27.59  | 
% 174.34/27.59  | Case 1:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (14)  all_58_26 = e1
% 174.34/27.59  | | 
% 174.34/27.59  | | COMBINE_EQS: (2), (14) imply:
% 174.34/27.59  | |   (15)  all_10_2 = e1
% 174.34/27.59  | | 
% 174.34/27.59  | | SIMP: (15) implies:
% 174.34/27.59  | |   (16)  all_10_2 = e1
% 174.34/27.59  | | 
% 174.34/27.59  | | REDUCE: (9), (16) imply:
% 174.34/27.59  | |   (17)   ~ (all_52_14 = e1)
% 174.34/27.59  | | 
% 174.34/27.59  | | REF_CLOSE: (1), (3), (4), (8), (12), (13), (17) are inconsistent by
% 174.34/27.59  | |            sub-proof #795.
% 174.34/27.59  | | 
% 174.34/27.59  | Case 2:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (18)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.59  | | 
% 174.34/27.59  | | REF_CLOSE: (5), (7), (10), (11), (18) are inconsistent by sub-proof #921.
% 174.34/27.59  | | 
% 174.34/27.59  | End of split
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #795 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.34/27.59    (2)   ~ (all_52_12 = e3)
% 174.34/27.59    (3)  all_58_30 = all_52_14
% 174.34/27.59    (4)   ~ (all_52_14 = e1)
% 174.34/27.59    (5)  all_58_29 = e0
% 174.34/27.59    (6)   ~ (e2 = e0)
% 174.34/27.59    (7)  all_58_28 = all_52_12
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.59  | 
% 174.34/27.59  | BETA: splitting (1) gives:
% 174.34/27.59  | 
% 174.34/27.59  | Case 1:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (8)  all_58_30 = e1
% 174.34/27.59  | | 
% 174.34/27.59  | | COMBINE_EQS: (3), (8) imply:
% 174.34/27.59  | |   (9)  all_52_14 = e1
% 174.34/27.59  | | 
% 174.34/27.59  | | REDUCE: (4), (9) imply:
% 174.34/27.59  | |   (10)  $false
% 174.34/27.59  | | 
% 174.34/27.59  | | CLOSE: (10) is inconsistent.
% 174.34/27.59  | | 
% 174.34/27.59  | Case 2:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (11)  all_58_28 = e3 | all_58_29 = e2
% 174.34/27.59  | | 
% 174.34/27.59  | | REF_CLOSE: (2), (5), (6), (7), (11) are inconsistent by sub-proof #869.
% 174.34/27.59  | | 
% 174.34/27.59  | End of split
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #796 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)   ~ (all_6_0 = e0)
% 174.34/27.59    (2)  op(all_6_1, e2) = all_6_0
% 174.34/27.59    (3)  op(e2, e3) = all_6_1
% 174.34/27.59    (4)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 174.34/27.59    (5)   ~ (all_52_1 = e3)
% 174.34/27.59    (6)   ~ (e2 = e1)
% 174.34/27.59    (7)  op(e1, e2) = e0
% 174.34/27.59    (8)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.34/27.59    (9)  op(e2, e3) = all_52_1
% 174.34/27.59    (10)  all_56_2 = all_52_1
% 174.34/27.59    (11)  all_56_0 = e2
% 174.34/27.59    (12)   ~ (all_52_1 = e2)
% 174.34/27.59    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.34/27.59            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.34/27.59    (14)  all_54_4 = all_52_1
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.59  | 
% 174.34/27.59  | BETA: splitting (8) gives:
% 174.34/27.59  | 
% 174.34/27.59  | Case 1:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (15)  all_56_0 = e1
% 174.34/27.59  | | 
% 174.34/27.59  | | COMBINE_EQS: (11), (15) imply:
% 174.34/27.59  | |   (16)  e2 = e1
% 174.34/27.59  | | 
% 174.34/27.59  | | REDUCE: (6), (16) imply:
% 174.34/27.59  | |   (17)  $false
% 174.34/27.59  | | 
% 174.34/27.59  | | CLOSE: (17) is inconsistent.
% 174.34/27.59  | | 
% 174.34/27.59  | Case 2:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (18)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.34/27.59  | | 
% 174.34/27.59  | | BETA: splitting (18) gives:
% 174.34/27.59  | | 
% 174.34/27.59  | | Case 1:
% 174.34/27.59  | | | 
% 174.34/27.59  | | |   (19)  all_56_2 = e1
% 174.34/27.59  | | | 
% 174.34/27.59  | | | COMBINE_EQS: (10), (19) imply:
% 174.34/27.59  | | |   (20)  all_52_1 = e1
% 174.34/27.59  | | | 
% 174.34/27.59  | | | REDUCE: (9), (20) imply:
% 174.34/27.59  | | |   (21)  op(e2, e3) = e1
% 174.34/27.59  | | | 
% 174.34/27.59  | | | REF_CLOSE: (1), (2), (3), (7), (13), (21) are inconsistent by sub-proof
% 174.34/27.59  | | |            #798.
% 174.34/27.59  | | | 
% 174.34/27.59  | | Case 2:
% 174.34/27.59  | | | 
% 174.34/27.59  | | |   (22)   ~ (all_56_2 = e1)
% 174.34/27.59  | | | 
% 174.34/27.59  | | | REF_CLOSE: (4), (5), (10), (12), (14), (22) are inconsistent by sub-proof
% 174.34/27.59  | | |            #797.
% 174.34/27.59  | | | 
% 174.34/27.59  | | End of split
% 174.34/27.59  | | 
% 174.34/27.59  | End of split
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #797 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 174.34/27.59    (2)   ~ (all_52_1 = e3)
% 174.34/27.59    (3)  all_56_2 = all_52_1
% 174.34/27.59    (4)   ~ (all_52_1 = e2)
% 174.34/27.59    (5)   ~ (all_56_2 = e1)
% 174.34/27.59    (6)  all_54_4 = all_52_1
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.59  | 
% 174.34/27.59  | REDUCE: (3), (5) imply:
% 174.34/27.59  |   (7)   ~ (all_52_1 = e1)
% 174.34/27.59  | 
% 174.34/27.59  | BETA: splitting (1) gives:
% 174.34/27.59  | 
% 174.34/27.59  | Case 1:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (8)  all_54_4 = e1
% 174.34/27.59  | | 
% 174.34/27.59  | | REF_CLOSE: (6), (7), (8) are inconsistent by sub-proof #872.
% 174.34/27.59  | | 
% 174.34/27.59  | Case 2:
% 174.34/27.59  | | 
% 174.34/27.59  | |   (9)  all_54_4 = e3 | all_54_4 = e2
% 174.34/27.59  | | 
% 174.34/27.59  | | REF_CLOSE: (2), (4), (6), (9) are inconsistent by sub-proof #880.
% 174.34/27.59  | | 
% 174.34/27.59  | End of split
% 174.34/27.59  | 
% 174.34/27.59  End of proof
% 174.34/27.59  
% 174.34/27.59  Sub-proof #798 shows that the following formulas are inconsistent:
% 174.34/27.59  ----------------------------------------------------------------
% 174.34/27.59    (1)   ~ (all_6_0 = e0)
% 174.34/27.59    (2)  op(all_6_1, e2) = all_6_0
% 174.34/27.59    (3)  op(e2, e3) = all_6_1
% 174.34/27.59    (4)  op(e1, e2) = e0
% 174.34/27.59    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.34/27.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.34/27.59    (6)  op(e2, e3) = e1
% 174.34/27.59  
% 174.34/27.59  Begin of proof
% 174.34/27.60  | 
% 174.34/27.60  | GROUND_INST: instantiating (5) with e1, all_6_1, e3, e2, simplifying with (3),
% 174.34/27.60  |              (6) gives:
% 174.34/27.60  |   (7)  all_6_1 = e1
% 174.34/27.60  | 
% 174.34/27.60  | REDUCE: (2), (7) imply:
% 174.34/27.60  |   (8)  op(e1, e2) = all_6_0
% 174.34/27.60  | 
% 174.34/27.60  | GROUND_INST: instantiating (5) with e0, all_6_0, e2, e1, simplifying with (4),
% 174.34/27.60  |              (8) gives:
% 174.34/27.60  |   (9)  all_6_0 = e0
% 174.34/27.60  | 
% 174.34/27.60  | REDUCE: (1), (9) imply:
% 174.34/27.60  |   (10)  $false
% 174.34/27.60  | 
% 174.34/27.60  | CLOSE: (10) is inconsistent.
% 174.34/27.60  | 
% 174.34/27.60  End of proof
% 174.34/27.60  
% 174.34/27.60  Sub-proof #799 shows that the following formulas are inconsistent:
% 174.34/27.60  ----------------------------------------------------------------
% 174.34/27.60    (1)  all_54_14 = all_52_11
% 174.34/27.60    (2)  all_54_14 = e0
% 174.34/27.60    (3)   ~ (all_52_11 = e0)
% 174.34/27.60  
% 174.34/27.60  Begin of proof
% 174.34/27.60  | 
% 174.34/27.60  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.60  |   (4)  all_52_11 = e0
% 174.34/27.60  | 
% 174.34/27.60  | SIMP: (4) implies:
% 174.34/27.60  |   (5)  all_52_11 = e0
% 174.34/27.60  | 
% 174.34/27.60  | REDUCE: (3), (5) imply:
% 174.34/27.60  |   (6)  $false
% 174.34/27.60  | 
% 174.34/27.60  | CLOSE: (6) is inconsistent.
% 174.34/27.60  | 
% 174.34/27.60  End of proof
% 174.34/27.60  
% 174.34/27.60  Sub-proof #800 shows that the following formulas are inconsistent:
% 174.34/27.60  ----------------------------------------------------------------
% 174.34/27.60    (1)  all_54_13 = all_52_7
% 174.34/27.60    (2)  all_54_13 = e0
% 174.34/27.60    (3)   ~ (all_52_7 = e0)
% 174.34/27.60  
% 174.34/27.60  Begin of proof
% 174.34/27.60  | 
% 174.34/27.60  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.60  |   (4)  all_52_7 = e0
% 174.34/27.60  | 
% 174.34/27.60  | SIMP: (4) implies:
% 174.34/27.60  |   (5)  all_52_7 = e0
% 174.34/27.60  | 
% 174.34/27.60  | REDUCE: (3), (5) imply:
% 174.34/27.60  |   (6)  $false
% 174.34/27.60  | 
% 174.34/27.60  | CLOSE: (6) is inconsistent.
% 174.34/27.60  | 
% 174.34/27.60  End of proof
% 174.34/27.60  
% 174.34/27.60  Sub-proof #801 shows that the following formulas are inconsistent:
% 174.34/27.60  ----------------------------------------------------------------
% 174.34/27.60    (1)  all_56_12 = e0 | all_56_13 = e0 | all_56_14 = e0
% 174.34/27.60    (2)  all_56_12 = all_52_3
% 174.34/27.60    (3)   ~ (e3 = e1)
% 174.34/27.60    (4)  all_58_23 = all_52_7
% 174.34/27.60    (5)   ~ (all_14_1 = e1)
% 174.34/27.60    (6)   ~ (all_52_2 = all_6_2)
% 174.34/27.60    (7)   ~ (all_52_3 = all_14_2)
% 174.34/27.60    (8)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.34/27.60    (9)  all_56_5 = all_52_9
% 174.34/27.60    (10)   ~ (all_52_12 = all_6_2)
% 174.34/27.60    (11)   ~ (all_14_2 = e1)
% 174.34/27.60    (12)  all_56_15 = all_14_2
% 174.34/27.60    (13)   ~ (all_52_11 = all_14_2)
% 174.34/27.60    (14)  op(e3, e0) = all_58_2
% 174.34/27.60    (15)   ~ (all_52_9 = all_4_2)
% 174.34/27.60    (16)   ~ (all_52_3 = all_52_7)
% 174.34/27.60    (17)  all_56_14 = all_52_11
% 174.34/27.60    (18)  all_56_8 = all_10_2
% 174.34/27.60    (19)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.34/27.60    (20)   ~ (all_52_9 = e0)
% 174.34/27.60    (21)  all_58_26 = all_10_2
% 174.34/27.60    (22)  all_58_31 = all_14_2
% 174.34/27.60    (23)   ~ (all_52_11 = all_10_2)
% 174.34/27.60    (24)   ~ (all_52_9 = all_52_13)
% 174.34/27.60    (25)   ~ (all_52_3 = all_6_2)
% 174.34/27.60    (26)  all_56_11 = all_52_14
% 174.34/27.60    (27)  all_56_0 = all_6_2
% 174.34/27.60    (28)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.34/27.60    (29)  all_58_30 = all_52_14
% 174.34/27.60    (30)  all_58_27 = all_52_11
% 174.34/27.60    (31)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 174.34/27.60    (32)  all_58_19 = all_52_3
% 174.34/27.60    (33)  all_56_9 = all_52_12
% 174.34/27.60    (34)  all_56_4 = e0
% 174.34/27.60    (35)   ~ (e3 = e2)
% 174.34/27.60    (36)   ~ (e2 = e1)
% 174.34/27.60    (37)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 174.34/27.60    (38)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.34/27.60    (39)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.34/27.60    (40)   ~ (all_52_13 = all_52_14)
% 174.34/27.60    (41)  all_58_18 = all_52_2
% 174.34/27.60    (42)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.34/27.60    (43)  all_58_16 = all_6_2
% 174.34/27.60    (44)  all_56_13 = all_52_7
% 174.34/27.60    (45)   ~ (all_52_12 = e0)
% 174.34/27.60    (46)   ~ (e3 = e0)
% 174.34/27.60    (47)  op(e3, e0) = all_52_12
% 174.34/27.60    (48)  all_58_29 = all_52_13
% 174.34/27.60    (49)   ~ (all_52_13 = e0)
% 174.34/27.60    (50)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 174.34/27.60    (51)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 174.34/27.60    (52)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 174.34/27.60    (53)   ~ (all_52_7 = all_52_11)
% 174.34/27.60    (54)  all_58_17 = e0
% 174.34/27.60    (55)   ~ (all_52_12 = all_52_14)
% 174.34/27.60    (56)   ~ (all_52_9 = all_52_11)
% 174.34/27.60    (57)  op(all_14_2, e0) = all_14_1
% 174.34/27.60    (58)  all_54_0 = all_6_2
% 174.34/27.60    (59)  all_58_24 = e0
% 174.34/27.60    (60)   ~ (all_52_11 = e0)
% 174.34/27.60    (61)   ~ (all_52_2 = all_52_3)
% 174.34/27.60    (62)   ~ (all_52_14 = all_14_2)
% 174.34/27.60    (63)  all_58_25 = all_52_9
% 174.34/27.60    (64)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.34/27.60            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.34/27.60    (65)  all_54_12 = all_52_3
% 174.34/27.60    (66)   ~ (all_52_2 = all_52_14)
% 174.34/27.60    (67)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 174.34/27.60    (68)  all_58_21 = all_4_2
% 174.34/27.60    (69)  all_56_10 = all_52_13
% 174.34/27.60    (70)   ~ (all_52_3 = e0)
% 174.34/27.60    (71)   ~ (e2 = e0)
% 174.34/27.60    (72)  all_58_28 = all_52_12
% 174.34/27.60    (73)   ~ (e1 = e0)
% 174.34/27.60    (74)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 174.34/27.60          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 174.34/27.60          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.34/27.60          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 174.34/27.60          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.34/27.60          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.34/27.60          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.34/27.60          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 174.34/27.60          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.34/27.60          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 174.34/27.60            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 174.34/27.60            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 174.34/27.60            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 174.34/27.60            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 174.34/27.60            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 174.34/27.60            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 174.34/27.60            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 174.34/27.60            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 174.34/27.60            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 174.34/27.60            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 174.34/27.60            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 174.34/27.60            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 174.34/27.60            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 174.34/27.60            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 174.34/27.60            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 174.34/27.60            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.34/27.60          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.34/27.60          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.34/27.60          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 174.34/27.60            all_58_30 = e0 & e1 = e0)
% 174.34/27.60    (75)   ~ (all_52_2 = all_10_2)
% 174.34/27.60  
% 174.34/27.60  Begin of proof
% 174.34/27.60  | 
% 174.34/27.60  | BETA: splitting (1) gives:
% 174.34/27.60  | 
% 174.34/27.60  | Case 1:
% 174.34/27.60  | | 
% 174.34/27.60  | |   (76)  all_56_12 = e0
% 174.34/27.60  | | 
% 174.34/27.60  | | REF_CLOSE: (2), (70), (76) are inconsistent by sub-proof #919.
% 174.34/27.60  | | 
% 174.34/27.60  | Case 2:
% 174.34/27.60  | | 
% 174.34/27.60  | |   (77)  all_56_13 = e0 | all_56_14 = e0
% 174.34/27.60  | | 
% 174.34/27.60  | | BETA: splitting (77) gives:
% 174.34/27.60  | | 
% 174.34/27.60  | | Case 1:
% 174.34/27.60  | | | 
% 174.34/27.60  | | |   (78)  all_56_13 = e0
% 174.34/27.60  | | | 
% 174.34/27.60  | | | COMBINE_EQS: (44), (78) imply:
% 174.34/27.60  | | |   (79)  all_52_7 = e0
% 174.34/27.60  | | | 
% 174.34/27.60  | | | SIMP: (79) implies:
% 174.34/27.60  | | |   (80)  all_52_7 = e0
% 174.34/27.60  | | | 
% 174.34/27.60  | | | COMBINE_EQS: (4), (80) imply:
% 174.34/27.60  | | |   (81)  all_58_23 = e0
% 174.34/27.60  | | | 
% 174.34/27.60  | | | REDUCE: (53), (80) imply:
% 174.34/27.60  | | |   (82)   ~ (all_52_11 = e0)
% 174.34/27.60  | | | 
% 174.34/27.60  | | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 174.34/27.60  | | |            (14), (15), (17), (18), (19), (20), (21), (22), (23), (24),
% 174.34/27.60  | | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 174.34/27.60  | | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (45),
% 174.34/27.60  | | |            (46), (47), (48), (49), (50), (51), (52), (54), (55), (56),
% 174.34/27.60  | | |            (57), (58), (59), (60), (61), (62), (63), (64), (65), (66),
% 174.34/27.60  | | |            (67), (68), (69), (70), (71), (72), (73), (74), (75), (81) are
% 174.34/27.60  | | |            inconsistent by sub-proof #802.
% 174.34/27.60  | | | 
% 174.34/27.60  | | Case 2:
% 174.34/27.60  | | | 
% 174.34/27.60  | | |   (83)  all_56_14 = e0
% 174.34/27.60  | | | 
% 174.34/27.60  | | | REF_CLOSE: (17), (60), (83) are inconsistent by sub-proof #915.
% 174.34/27.60  | | | 
% 174.34/27.60  | | End of split
% 174.34/27.60  | | 
% 174.34/27.60  | End of split
% 174.34/27.60  | 
% 174.34/27.60  End of proof
% 174.34/27.60  
% 174.34/27.60  Sub-proof #802 shows that the following formulas are inconsistent:
% 174.34/27.60  ----------------------------------------------------------------
% 174.34/27.60    (1)  all_56_12 = all_52_3
% 174.34/27.60    (2)   ~ (e3 = e1)
% 174.34/27.60    (3)   ~ (all_14_1 = e1)
% 174.34/27.60    (4)   ~ (all_52_2 = all_6_2)
% 174.34/27.60    (5)   ~ (all_52_3 = all_14_2)
% 174.34/27.60    (6)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.34/27.60    (7)  all_56_5 = all_52_9
% 174.34/27.60    (8)   ~ (all_52_12 = all_6_2)
% 174.34/27.60    (9)   ~ (all_14_2 = e1)
% 174.34/27.60    (10)  all_56_15 = all_14_2
% 174.34/27.60    (11)   ~ (all_52_11 = all_14_2)
% 174.34/27.60    (12)  op(e3, e0) = all_58_2
% 174.34/27.60    (13)   ~ (all_52_9 = all_4_2)
% 174.34/27.60    (14)  all_56_14 = all_52_11
% 174.34/27.60    (15)  all_56_8 = all_10_2
% 174.34/27.60    (16)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.34/27.60    (17)   ~ (all_52_9 = e0)
% 174.34/27.60    (18)  all_58_26 = all_10_2
% 174.34/27.60    (19)  all_58_31 = all_14_2
% 174.34/27.60    (20)   ~ (all_52_11 = all_10_2)
% 174.34/27.60    (21)   ~ (all_52_9 = all_52_13)
% 174.34/27.60    (22)   ~ (all_52_3 = all_6_2)
% 174.34/27.60    (23)  all_56_11 = all_52_14
% 174.34/27.60    (24)  all_56_0 = all_6_2
% 174.34/27.60    (25)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.34/27.60    (26)  all_58_30 = all_52_14
% 174.34/27.60    (27)  all_58_27 = all_52_11
% 174.34/27.60    (28)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 174.34/27.60    (29)  all_58_19 = all_52_3
% 174.34/27.60    (30)  all_56_9 = all_52_12
% 174.34/27.60    (31)  all_56_4 = e0
% 174.34/27.60    (32)   ~ (e3 = e2)
% 174.34/27.60    (33)   ~ (e2 = e1)
% 174.34/27.60    (34)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 174.34/27.60    (35)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.34/27.60    (36)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.34/27.60    (37)   ~ (all_52_13 = all_52_14)
% 174.34/27.60    (38)  all_58_18 = all_52_2
% 174.34/27.60    (39)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.34/27.60    (40)  all_58_16 = all_6_2
% 174.34/27.60    (41)   ~ (all_52_12 = e0)
% 174.34/27.60    (42)   ~ (e3 = e0)
% 174.34/27.60    (43)  op(e3, e0) = all_52_12
% 174.34/27.60    (44)  all_58_29 = all_52_13
% 174.34/27.60    (45)   ~ (all_52_13 = e0)
% 174.34/27.60    (46)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 174.34/27.60    (47)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 174.34/27.60    (48)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 174.34/27.60    (49)  all_58_17 = e0
% 174.34/27.60    (50)   ~ (all_52_12 = all_52_14)
% 174.34/27.60    (51)   ~ (all_52_9 = all_52_11)
% 174.34/27.60    (52)  op(all_14_2, e0) = all_14_1
% 174.34/27.60    (53)  all_54_0 = all_6_2
% 174.34/27.60    (54)  all_58_24 = e0
% 174.34/27.60    (55)   ~ (all_52_11 = e0)
% 174.34/27.60    (56)   ~ (all_52_2 = all_52_3)
% 174.34/27.60    (57)   ~ (all_52_14 = all_14_2)
% 174.34/27.60    (58)  all_58_25 = all_52_9
% 174.34/27.60    (59)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.34/27.60            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.34/27.60    (60)  all_54_12 = all_52_3
% 174.34/27.60    (61)   ~ (all_52_2 = all_52_14)
% 174.34/27.60    (62)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 174.34/27.60    (63)  all_58_21 = all_4_2
% 174.34/27.60    (64)  all_56_10 = all_52_13
% 174.34/27.60    (65)   ~ (all_52_3 = e0)
% 174.34/27.60    (66)   ~ (e2 = e0)
% 174.34/27.60    (67)  all_58_28 = all_52_12
% 174.34/27.60    (68)   ~ (e1 = e0)
% 174.34/27.60    (69)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 174.34/27.60          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 174.34/27.60          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.34/27.60          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 174.34/27.60          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.34/27.60          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.34/27.60          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.34/27.60          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 174.34/27.60          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.34/27.60          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 174.34/27.60            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 174.34/27.60            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 174.34/27.60            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 174.34/27.60            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 174.34/27.60            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 174.34/27.60            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 174.34/27.60            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 174.34/27.60            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 174.34/27.60            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 174.34/27.60            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 174.34/27.60            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 174.34/27.60            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 174.34/27.60            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 174.34/27.60            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 174.34/27.60            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 174.34/27.60            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.34/27.60          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.34/27.60          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.34/27.60          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 174.34/27.60            all_58_30 = e0 & e1 = e0)
% 174.34/27.60    (70)  all_58_23 = e0
% 174.34/27.60    (71)   ~ (all_52_2 = all_10_2)
% 174.34/27.60  
% 174.34/27.60  Begin of proof
% 174.34/27.60  | 
% 174.34/27.60  | BETA: splitting (62) gives:
% 174.34/27.60  | 
% 174.34/27.60  | Case 1:
% 174.34/27.60  | | 
% 174.34/27.60  | |   (72)  all_56_9 = e0
% 174.34/27.60  | | 
% 174.34/27.60  | | REF_CLOSE: (30), (41), (72) are inconsistent by sub-proof #908.
% 174.34/27.60  | | 
% 174.34/27.60  | Case 2:
% 174.34/27.60  | | 
% 174.34/27.60  | |   (73)  all_56_10 = e0 | all_56_11 = e0
% 174.34/27.60  | | 
% 174.34/27.60  | | BETA: splitting (73) gives:
% 174.34/27.60  | | 
% 174.34/27.60  | | Case 1:
% 174.34/27.60  | | | 
% 174.34/27.60  | | |   (74)  all_56_10 = e0
% 174.34/27.60  | | | 
% 174.34/27.60  | | | REF_CLOSE: (45), (64), (74) are inconsistent by sub-proof #943.
% 174.34/27.60  | | | 
% 174.34/27.60  | | Case 2:
% 174.34/27.60  | | | 
% 174.34/27.60  | | |   (75)  all_56_11 = e0
% 174.34/27.60  | | | 
% 174.34/27.60  | | | COMBINE_EQS: (23), (75) imply:
% 174.34/27.60  | | |   (76)  all_52_14 = e0
% 174.34/27.60  | | | 
% 174.34/27.60  | | | SIMP: (76) implies:
% 174.34/27.60  | | |   (77)  all_52_14 = e0
% 174.34/27.60  | | | 
% 174.34/27.60  | | | COMBINE_EQS: (26), (77) imply:
% 174.34/27.60  | | |   (78)  all_58_30 = e0
% 174.34/27.60  | | | 
% 174.34/27.60  | | | REDUCE: (61), (77) imply:
% 174.34/27.60  | | |   (79)   ~ (all_52_2 = e0)
% 174.34/27.60  | | | 
% 174.34/27.60  | | | REDUCE: (57), (77) imply:
% 174.34/27.60  | | |   (80)   ~ (all_14_2 = e0)
% 174.34/27.60  | | | 
% 174.34/27.60  | | | SIMP: (80) implies:
% 174.34/27.60  | | |   (81)   ~ (all_14_2 = e0)
% 174.34/27.60  | | | 
% 174.34/27.60  | | | GROUND_INST: instantiating (59) with all_52_12, all_58_2, e0, e3,
% 174.34/27.60  | | |              simplifying with (12), (43) gives:
% 174.34/27.60  | | |   (82)  all_58_2 = all_52_12
% 174.34/27.60  | | | 
% 174.34/27.60  | | | BETA: splitting (36) gives:
% 174.34/27.60  | | | 
% 174.34/27.60  | | | Case 1:
% 174.34/27.60  | | | | 
% 174.34/27.60  | | | |   (83)  all_56_9 = e1
% 174.34/27.60  | | | | 
% 174.34/27.60  | | | | COMBINE_EQS: (30), (83) imply:
% 174.34/27.60  | | | |   (84)  all_52_12 = e1
% 174.34/27.60  | | | | 
% 174.34/27.60  | | | | SIMP: (84) implies:
% 174.34/27.60  | | | |   (85)  all_52_12 = e1
% 174.34/27.60  | | | | 
% 174.34/27.60  | | | | COMBINE_EQS: (67), (85) imply:
% 174.34/27.60  | | | |   (86)  all_58_28 = e1
% 174.34/27.60  | | | | 
% 174.34/27.60  | | | | REDUCE: (43), (85) imply:
% 174.34/27.60  | | | |   (87)  op(e3, e0) = e1
% 174.34/27.60  | | | | 
% 174.34/27.60  | | | | REF_CLOSE: (2), (3), (10), (16), (19), (32), (34), (42), (44), (52),
% 174.34/27.60  | | | |            (59), (64), (68), (75), (78), (81), (83), (86), (87) are
% 174.34/27.60  | | | |            inconsistent by sub-proof #836.
% 174.34/27.60  | | | | 
% 174.34/27.60  | | | Case 2:
% 174.34/27.60  | | | | 
% 174.34/27.60  | | | |   (88)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.34/27.60  | | | | 
% 174.34/27.60  | | | | REF_CLOSE: (1), (4), (5), (6), (7), (8), (9), (10), (11), (13), (14),
% 174.34/27.60  | | | |            (15), (16), (17), (18), (19), (20), (21), (22), (24), (25),
% 174.34/27.60  | | | |            (27), (28), (29), (30), (31), (32), (33), (35), (38), (39),
% 174.34/27.60  | | | |            (40), (44), (45), (46), (47), (48), (49), (51), (53), (54),
% 174.34/27.60  | | | |            (55), (56), (58), (60), (63), (64), (65), (66), (67), (68),
% 174.34/27.60  | | | |            (69), (70), (71), (75), (78), (79), (81), (88) are
% 174.34/27.60  | | | |            inconsistent by sub-proof #803.
% 174.34/27.60  | | | | 
% 174.34/27.60  | | | End of split
% 174.34/27.60  | | | 
% 174.34/27.60  | | End of split
% 174.34/27.60  | | 
% 174.34/27.60  | End of split
% 174.34/27.60  | 
% 174.34/27.60  End of proof
% 174.34/27.60  
% 174.34/27.60  Sub-proof #803 shows that the following formulas are inconsistent:
% 174.34/27.60  ----------------------------------------------------------------
% 174.34/27.60    (1)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.34/27.60    (2)  all_56_12 = all_52_3
% 174.34/27.60    (3)   ~ (all_52_2 = all_6_2)
% 174.34/27.60    (4)   ~ (all_52_3 = all_14_2)
% 174.34/27.60    (5)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.34/27.60    (6)  all_56_5 = all_52_9
% 174.34/27.60    (7)   ~ (all_52_12 = all_6_2)
% 174.34/27.60    (8)   ~ (all_14_2 = e1)
% 174.34/27.60    (9)  all_56_15 = all_14_2
% 174.34/27.60    (10)   ~ (all_52_11 = all_14_2)
% 174.34/27.60    (11)   ~ (all_14_2 = e0)
% 174.34/27.60    (12)   ~ (all_52_9 = all_4_2)
% 174.34/27.60    (13)  all_56_14 = all_52_11
% 174.34/27.60    (14)  all_56_8 = all_10_2
% 174.34/27.60    (15)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.34/27.60    (16)  all_58_30 = e0
% 174.34/27.60    (17)   ~ (all_52_9 = e0)
% 174.34/27.60    (18)  all_58_26 = all_10_2
% 174.34/27.60    (19)  all_58_31 = all_14_2
% 174.34/27.60    (20)   ~ (all_52_11 = all_10_2)
% 174.34/27.60    (21)   ~ (all_52_9 = all_52_13)
% 174.34/27.60    (22)   ~ (all_52_3 = all_6_2)
% 174.34/27.60    (23)  all_56_0 = all_6_2
% 174.34/27.60    (24)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.34/27.60    (25)  all_58_27 = all_52_11
% 174.34/27.60    (26)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 174.34/27.60    (27)  all_58_19 = all_52_3
% 174.34/27.60    (28)  all_56_9 = all_52_12
% 174.34/27.60    (29)  all_56_4 = e0
% 174.34/27.60    (30)   ~ (e3 = e2)
% 174.34/27.60    (31)   ~ (e2 = e1)
% 174.34/27.60    (32)   ~ (all_52_2 = e0)
% 174.34/27.60    (33)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.34/27.60    (34)  all_58_18 = all_52_2
% 174.34/27.60    (35)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.34/27.60    (36)  all_58_16 = all_6_2
% 174.34/27.60    (37)  all_58_29 = all_52_13
% 174.34/27.60    (38)   ~ (all_52_13 = e0)
% 174.34/27.60    (39)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 174.34/27.60    (40)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 174.34/27.60    (41)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 174.34/27.60    (42)  all_58_17 = e0
% 174.34/27.60    (43)  all_56_11 = e0
% 174.34/27.60    (44)   ~ (all_52_9 = all_52_11)
% 174.34/27.60    (45)  all_54_0 = all_6_2
% 174.34/27.60    (46)  all_58_24 = e0
% 174.34/27.60    (47)   ~ (all_52_11 = e0)
% 174.34/27.60    (48)   ~ (all_52_2 = all_52_3)
% 174.34/27.60    (49)  all_58_25 = all_52_9
% 174.34/27.60    (50)  all_54_12 = all_52_3
% 174.34/27.60    (51)  all_58_21 = all_4_2
% 174.34/27.60    (52)  all_56_10 = all_52_13
% 174.34/27.60    (53)   ~ (all_52_3 = e0)
% 174.34/27.60    (54)   ~ (e2 = e0)
% 174.34/27.60    (55)  all_58_28 = all_52_12
% 174.34/27.60    (56)   ~ (e1 = e0)
% 174.34/27.60    (57)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 174.34/27.60          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 174.34/27.60          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.34/27.60          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 174.34/27.60          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.34/27.60          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.34/27.60          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.34/27.60          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 174.34/27.60          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.34/27.60          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 174.34/27.60            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 174.34/27.60            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 174.34/27.60            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 174.34/27.60            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 174.34/27.60            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 174.34/27.60            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 174.34/27.60            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 174.34/27.60            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 174.34/27.60            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 174.34/27.60            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 174.34/27.60            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 174.34/27.60            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 174.34/27.60            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 174.34/27.60            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 174.34/27.60            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 174.34/27.60            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.34/27.60          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.34/27.60          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.34/27.60          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 174.34/27.60            all_58_30 = e0 & e1 = e0)
% 174.34/27.60    (58)  all_58_23 = e0
% 174.34/27.60    (59)   ~ (all_52_2 = all_10_2)
% 174.34/27.60  
% 174.34/27.60  Begin of proof
% 174.34/27.60  | 
% 174.34/27.60  | BETA: splitting (1) gives:
% 174.34/27.60  | 
% 174.34/27.60  | Case 1:
% 174.34/27.60  | | 
% 174.34/27.60  | |   (60)  all_56_10 = e1
% 174.34/27.60  | | 
% 174.34/27.60  | | COMBINE_EQS: (52), (60) imply:
% 174.34/27.60  | |   (61)  all_52_13 = e1
% 174.34/27.60  | | 
% 174.34/27.60  | | SIMP: (61) implies:
% 174.34/27.60  | |   (62)  all_52_13 = e1
% 174.34/27.60  | | 
% 174.34/27.60  | | COMBINE_EQS: (37), (62) imply:
% 174.34/27.60  | |   (63)  all_58_29 = e1
% 174.34/27.60  | | 
% 174.34/27.60  | | REDUCE: (21), (62) imply:
% 174.34/27.60  | |   (64)   ~ (all_52_9 = e1)
% 174.34/27.60  | | 
% 174.34/27.60  | | BETA: splitting (15) gives:
% 174.34/27.60  | | 
% 174.34/27.60  | | Case 1:
% 174.34/27.60  | | | 
% 174.34/27.60  | | |   (65)  all_58_31 = e0
% 174.34/27.60  | | | 
% 174.34/27.60  | | | COMBINE_EQS: (19), (65) imply:
% 174.34/27.60  | | |   (66)  all_14_2 = e0
% 174.34/27.60  | | | 
% 174.34/27.60  | | | REDUCE: (11), (66) imply:
% 174.34/27.60  | | |   (67)  $false
% 174.34/27.60  | | | 
% 174.34/27.60  | | | CLOSE: (67) is inconsistent.
% 174.34/27.60  | | | 
% 174.34/27.60  | | Case 2:
% 174.34/27.60  | | | 
% 174.34/27.60  | | |   (68)   ~ (all_58_31 = e0)
% 174.34/27.60  | | |   (69)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.34/27.60  | | | 
% 174.34/27.60  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13),
% 174.34/27.60  | | |            (14), (16), (17), (18), (19), (20), (22), (23), (24), (25),
% 174.34/27.60  | | |            (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 174.34/27.60  | | |            (36), (37), (38), (39), (40), (41), (42), (43), (44), (45),
% 174.34/27.60  | | |            (46), (47), (48), (49), (50), (51), (53), (54), (55), (56),
% 174.34/27.60  | | |            (57), (58), (59), (60), (63), (64), (69) are inconsistent by
% 174.34/27.60  | | |            sub-proof #805.
% 174.34/27.60  | | | 
% 174.34/27.60  | | End of split
% 174.34/27.60  | | 
% 174.34/27.60  | Case 2:
% 174.34/27.60  | | 
% 174.34/27.60  | |   (70)  all_56_11 = e1 | all_56_15 = e1
% 174.34/27.60  | | 
% 174.34/27.60  | | REF_CLOSE: (8), (9), (43), (56), (70) are inconsistent by sub-proof #804.
% 174.34/27.60  | | 
% 174.34/27.60  | End of split
% 174.34/27.60  | 
% 174.34/27.60  End of proof
% 174.34/27.60  
% 174.34/27.60  Sub-proof #804 shows that the following formulas are inconsistent:
% 174.34/27.60  ----------------------------------------------------------------
% 174.34/27.60    (1)   ~ (all_14_2 = e1)
% 174.34/27.60    (2)  all_56_15 = all_14_2
% 174.34/27.60    (3)  all_56_11 = e1 | all_56_15 = e1
% 174.34/27.60    (4)  all_56_11 = e0
% 174.34/27.60    (5)   ~ (e1 = e0)
% 174.34/27.60  
% 174.34/27.60  Begin of proof
% 174.34/27.60  | 
% 174.34/27.60  | BETA: splitting (3) gives:
% 174.34/27.60  | 
% 174.34/27.60  | Case 1:
% 174.34/27.60  | | 
% 174.34/27.60  | |   (6)  all_56_11 = e1
% 174.34/27.60  | | 
% 174.34/27.60  | | COMBINE_EQS: (4), (6) imply:
% 174.34/27.60  | |   (7)  e1 = e0
% 174.34/27.60  | | 
% 174.34/27.60  | | REDUCE: (5), (7) imply:
% 174.34/27.60  | |   (8)  $false
% 174.34/27.60  | | 
% 174.34/27.60  | | CLOSE: (8) is inconsistent.
% 174.34/27.60  | | 
% 174.34/27.60  | Case 2:
% 174.34/27.60  | | 
% 174.34/27.60  | |   (9)  all_56_15 = e1
% 174.34/27.60  | | 
% 174.34/27.60  | | REF_CLOSE: (1), (2), (9) are inconsistent by sub-proof #876.
% 174.34/27.60  | | 
% 174.34/27.60  | End of split
% 174.34/27.60  | 
% 174.34/27.60  End of proof
% 174.34/27.60  
% 174.34/27.60  Sub-proof #805 shows that the following formulas are inconsistent:
% 174.34/27.60  ----------------------------------------------------------------
% 174.34/27.60    (1)   ~ (all_52_9 = e1)
% 174.34/27.60    (2)  all_56_12 = all_52_3
% 174.34/27.60    (3)  all_56_10 = e1
% 174.34/27.60    (4)   ~ (all_52_2 = all_6_2)
% 174.34/27.60    (5)   ~ (all_52_3 = all_14_2)
% 174.34/27.60    (6)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.34/27.60    (7)  all_56_5 = all_52_9
% 174.34/27.60    (8)   ~ (all_52_12 = all_6_2)
% 174.34/27.60    (9)  all_56_15 = all_14_2
% 174.34/27.60    (10)   ~ (all_52_11 = all_14_2)
% 174.34/27.60    (11)   ~ (all_14_2 = e0)
% 174.34/27.60    (12)   ~ (all_52_9 = all_4_2)
% 174.34/27.60    (13)  all_58_29 = e1
% 174.34/27.60    (14)  all_56_14 = all_52_11
% 174.34/27.60    (15)  all_56_8 = all_10_2
% 174.34/27.60    (16)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.34/27.60    (17)  all_58_30 = e0
% 174.34/27.60    (18)   ~ (all_52_9 = e0)
% 174.34/27.60    (19)  all_58_26 = all_10_2
% 174.34/27.60    (20)  all_58_31 = all_14_2
% 174.34/27.60    (21)   ~ (all_52_11 = all_10_2)
% 174.34/27.60    (22)   ~ (all_52_3 = all_6_2)
% 174.34/27.60    (23)  all_56_0 = all_6_2
% 174.34/27.60    (24)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.34/27.60    (25)  all_58_27 = all_52_11
% 174.34/27.60    (26)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 174.34/27.60    (27)  all_58_19 = all_52_3
% 174.34/27.60    (28)  all_56_9 = all_52_12
% 174.34/27.60    (29)  all_56_4 = e0
% 174.34/27.60    (30)   ~ (e3 = e2)
% 174.34/27.60    (31)   ~ (e2 = e1)
% 174.34/27.60    (32)   ~ (all_52_2 = e0)
% 174.34/27.60    (33)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.34/27.60    (34)  all_58_18 = all_52_2
% 174.34/27.60    (35)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.34/27.60    (36)  all_58_16 = all_6_2
% 174.34/27.60    (37)  all_58_29 = all_52_13
% 174.34/27.60    (38)   ~ (all_52_13 = e0)
% 174.34/27.60    (39)  all_56_12 = e3 | all_56_13 = e3 | all_56_14 = e3 | all_56_15 = e3
% 174.34/27.60    (40)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 174.34/27.60    (41)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 174.34/27.60    (42)  all_58_17 = e0
% 174.34/27.60    (43)  all_56_11 = e0
% 174.34/27.60    (44)   ~ (all_52_9 = all_52_11)
% 174.34/27.60    (45)  all_54_0 = all_6_2
% 174.34/27.60    (46)  all_58_24 = e0
% 174.34/27.60    (47)   ~ (all_52_11 = e0)
% 174.34/27.60    (48)   ~ (all_52_2 = all_52_3)
% 174.34/27.60    (49)  all_58_25 = all_52_9
% 174.34/27.60    (50)  all_54_12 = all_52_3
% 174.34/27.60    (51)  all_58_21 = all_4_2
% 174.34/27.60    (52)   ~ (all_52_3 = e0)
% 174.34/27.60    (53)   ~ (e2 = e0)
% 174.34/27.60    (54)  all_58_28 = all_52_12
% 174.34/27.60    (55)   ~ (e1 = e0)
% 174.34/27.61    (56)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 174.34/27.61          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 174.34/27.61          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.34/27.61          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 174.34/27.61          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.34/27.61          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.34/27.61          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.34/27.61          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 174.34/27.61          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.34/27.61          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 174.34/27.61            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 174.34/27.61            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 174.34/27.61            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 174.34/27.61            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 174.34/27.61            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 174.34/27.61            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 174.34/27.61            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 174.34/27.61            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 174.34/27.61            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 174.34/27.61            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 174.34/27.61            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 174.34/27.61            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 174.34/27.61            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 174.34/27.61            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 174.34/27.61            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 174.34/27.61            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.34/27.61          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.34/27.61          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.34/27.61          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 174.34/27.61            all_58_30 = e0 & e1 = e0)
% 174.34/27.61    (57)  all_58_23 = e0
% 174.34/27.61    (58)   ~ (all_52_2 = all_10_2)
% 174.34/27.61  
% 174.34/27.61  Begin of proof
% 174.34/27.61  | 
% 174.34/27.61  | BETA: splitting (16) gives:
% 174.34/27.61  | 
% 174.34/27.61  | Case 1:
% 174.34/27.61  | | 
% 174.34/27.61  | |   (59)  all_58_30 = e1
% 174.34/27.61  | | 
% 174.34/27.61  | | REF_CLOSE: (17), (55), (59) are inconsistent by sub-proof #838.
% 174.34/27.61  | | 
% 174.34/27.61  | Case 2:
% 174.34/27.61  | | 
% 174.34/27.61  | |   (60)  all_58_28 = e3 | all_58_29 = e2
% 174.34/27.61  | | 
% 174.34/27.61  | | BETA: splitting (60) gives:
% 174.34/27.61  | | 
% 174.34/27.61  | | Case 1:
% 174.34/27.61  | | | 
% 174.34/27.61  | | |   (61)  all_58_29 = e2
% 174.34/27.61  | | | 
% 174.34/27.61  | | | REF_CLOSE: (13), (31), (61) are inconsistent by sub-proof #858.
% 174.34/27.61  | | | 
% 174.34/27.61  | | Case 2:
% 174.34/27.61  | | | 
% 174.34/27.61  | | |   (62)  all_58_28 = e3
% 174.34/27.61  | | |   (63)   ~ (all_58_29 = e2)
% 174.34/27.61  | | | 
% 174.34/27.61  | | | COMBINE_EQS: (54), (62) imply:
% 174.34/27.61  | | |   (64)  all_52_12 = e3
% 174.34/27.61  | | | 
% 174.34/27.61  | | | COMBINE_EQS: (28), (64) imply:
% 174.34/27.61  | | |   (65)  all_56_9 = e3
% 174.34/27.61  | | | 
% 174.34/27.61  | | | REDUCE: (13), (63) imply:
% 174.34/27.61  | | |   (66)   ~ (e2 = e1)
% 174.34/27.61  | | | 
% 174.34/27.61  | | | REDUCE: (8), (64) imply:
% 174.34/27.61  | | |   (67)   ~ (all_6_2 = e3)
% 174.34/27.61  | | | 
% 174.34/27.61  | | | SIMP: (67) implies:
% 174.34/27.61  | | |   (68)   ~ (all_6_2 = e3)
% 174.34/27.61  | | | 
% 174.34/27.61  | | | BETA: splitting (26) gives:
% 174.34/27.61  | | | 
% 174.34/27.61  | | | Case 1:
% 174.34/27.61  | | | | 
% 174.34/27.61  | | | |   (69)  all_56_9 = e2
% 174.34/27.61  | | | | 
% 174.34/27.61  | | | | REF_CLOSE: (30), (65), (69) are inconsistent by sub-proof #835.
% 174.34/27.61  | | | | 
% 174.34/27.61  | | | Case 2:
% 174.34/27.61  | | | | 
% 174.34/27.61  | | | |   (70)  all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 174.34/27.61  | | | | 
% 174.34/27.61  | | | | BETA: splitting (70) gives:
% 174.34/27.61  | | | | 
% 174.34/27.61  | | | | Case 1:
% 174.34/27.61  | | | | | 
% 174.34/27.61  | | | | |   (71)  all_56_10 = e2
% 174.34/27.61  | | | | | 
% 174.34/27.61  | | | | | COMBINE_EQS: (3), (71) imply:
% 174.34/27.61  | | | | |   (72)  e2 = e1
% 174.34/27.61  | | | | | 
% 174.34/27.61  | | | | | REDUCE: (31), (72) imply:
% 174.34/27.61  | | | | |   (73)  $false
% 174.34/27.61  | | | | | 
% 174.34/27.61  | | | | | CLOSE: (73) is inconsistent.
% 174.34/27.61  | | | | | 
% 174.34/27.61  | | | | Case 2:
% 174.34/27.61  | | | | | 
% 174.34/27.61  | | | | |   (74)  all_56_11 = e2 | all_56_15 = e2
% 174.34/27.61  | | | | | 
% 174.34/27.61  | | | | | BETA: splitting (6) gives:
% 174.34/27.61  | | | | | 
% 174.34/27.61  | | | | | Case 1:
% 174.34/27.61  | | | | | | 
% 174.34/27.61  | | | | | |   (75)  all_58_19 = e0
% 174.34/27.61  | | | | | | 
% 174.34/27.61  | | | | | | COMBINE_EQS: (27), (75) imply:
% 174.34/27.61  | | | | | |   (76)  all_52_3 = e0
% 174.34/27.61  | | | | | | 
% 174.34/27.61  | | | | | | REDUCE: (52), (76) imply:
% 174.34/27.61  | | | | | |   (77)  $false
% 174.34/27.61  | | | | | | 
% 174.34/27.61  | | | | | | CLOSE: (77) is inconsistent.
% 174.34/27.61  | | | | | | 
% 174.34/27.61  | | | | | Case 2:
% 174.34/27.61  | | | | | | 
% 174.34/27.61  | | | | | |   (78)   ~ (all_58_19 = e0)
% 174.34/27.61  | | | | | |   (79)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.34/27.61  | | | | | | 
% 174.34/27.61  | | | | | | BETA: splitting (79) gives:
% 174.34/27.61  | | | | | | 
% 174.34/27.61  | | | | | | Case 1:
% 174.34/27.61  | | | | | | | 
% 174.34/27.61  | | | | | | |   (80)  all_58_18 = e1
% 174.34/27.61  | | | | | | | 
% 174.34/27.61  | | | | | | | COMBINE_EQS: (34), (80) imply:
% 174.34/27.61  | | | | | | |   (81)  all_52_2 = e1
% 174.34/27.61  | | | | | | | 
% 174.34/27.61  | | | | | | | SIMP: (81) implies:
% 174.34/27.61  | | | | | | |   (82)  all_52_2 = e1
% 174.34/27.61  | | | | | | | 
% 174.34/27.61  | | | | | | | REDUCE: (58), (82) imply:
% 174.34/27.61  | | | | | | |   (83)   ~ (all_10_2 = e1)
% 174.34/27.61  | | | | | | | 
% 174.34/27.61  | | | | | | | SIMP: (83) implies:
% 174.34/27.61  | | | | | | |   (84)   ~ (all_10_2 = e1)
% 174.34/27.61  | | | | | | | 
% 174.34/27.61  | | | | | | | BETA: splitting (40) gives:
% 174.34/27.61  | | | | | | | 
% 174.34/27.61  | | | | | | | Case 1:
% 174.34/27.61  | | | | | | | | 
% 174.34/27.61  | | | | | | | |   (85)  all_56_4 = e1
% 174.34/27.61  | | | | | | | | 
% 174.34/27.61  | | | | | | | | REF_CLOSE: (29), (55), (85) are inconsistent by sub-proof #834.
% 174.34/27.61  | | | | | | | | 
% 174.34/27.61  | | | | | | | Case 2:
% 174.34/27.61  | | | | | | | | 
% 174.34/27.61  | | | | | | | |   (86)  all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 174.34/27.61  | | | | | | | | 
% 174.34/27.61  | | | | | | | | BETA: splitting (86) gives:
% 174.34/27.61  | | | | | | | | 
% 174.34/27.61  | | | | | | | | Case 1:
% 174.34/27.61  | | | | | | | | | 
% 174.34/27.61  | | | | | | | | |   (87)  all_56_5 = e1
% 174.34/27.61  | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | COMBINE_EQS: (7), (87) imply:
% 174.34/27.61  | | | | | | | | |   (88)  all_52_9 = e1
% 174.34/27.61  | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | REDUCE: (1), (88) imply:
% 174.34/27.61  | | | | | | | | |   (89)  $false
% 174.34/27.61  | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | CLOSE: (89) is inconsistent.
% 174.34/27.61  | | | | | | | | | 
% 174.34/27.61  | | | | | | | | Case 2:
% 174.34/27.61  | | | | | | | | | 
% 174.34/27.61  | | | | | | | | |   (90)  all_56_8 = e1 | all_56_14 = e1
% 174.34/27.61  | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | BETA: splitting (90) gives:
% 174.34/27.61  | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | Case 1:
% 174.34/27.61  | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | |   (91)  all_56_8 = e1
% 174.34/27.61  | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | REF_CLOSE: (15), (84), (91) are inconsistent by sub-proof
% 174.34/27.61  | | | | | | | | | |            #833.
% 174.34/27.61  | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | Case 2:
% 174.34/27.61  | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | |   (92)  all_56_14 = e1
% 174.34/27.61  | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | COMBINE_EQS: (14), (92) imply:
% 174.34/27.61  | | | | | | | | | |   (93)  all_52_11 = e1
% 174.34/27.61  | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | SIMP: (93) implies:
% 174.34/27.61  | | | | | | | | | |   (94)  all_52_11 = e1
% 174.34/27.61  | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | COMBINE_EQS: (25), (94) imply:
% 174.34/27.61  | | | | | | | | | |   (95)  all_58_27 = e1
% 174.34/27.61  | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | REDUCE: (10), (94) imply:
% 174.34/27.61  | | | | | | | | | |   (96)   ~ (all_14_2 = e1)
% 174.34/27.61  | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | SIMP: (96) implies:
% 174.34/27.61  | | | | | | | | | |   (97)   ~ (all_14_2 = e1)
% 174.34/27.61  | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | BETA: splitting (74) gives:
% 174.34/27.61  | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | Case 1:
% 174.34/27.61  | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | |   (98)  all_56_11 = e2
% 174.34/27.61  | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | COMBINE_EQS: (43), (98) imply:
% 174.34/27.61  | | | | | | | | | | |   (99)  e2 = e0
% 174.34/27.61  | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | REDUCE: (53), (99) imply:
% 174.34/27.61  | | | | | | | | | | |   (100)  $false
% 174.34/27.61  | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | CLOSE: (100) is inconsistent.
% 174.34/27.61  | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | Case 2:
% 174.34/27.61  | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | |   (101)  all_56_15 = e2
% 174.34/27.61  | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | COMBINE_EQS: (9), (101) imply:
% 174.34/27.61  | | | | | | | | | | |   (102)  all_14_2 = e2
% 174.34/27.61  | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | SIMP: (102) implies:
% 174.34/27.61  | | | | | | | | | | |   (103)  all_14_2 = e2
% 174.34/27.61  | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | REDUCE: (5), (103) imply:
% 174.34/27.61  | | | | | | | | | | |   (104)   ~ (all_52_3 = e2)
% 174.34/27.61  | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | BETA: splitting (41) gives:
% 174.34/27.61  | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | Case 1:
% 174.34/27.61  | | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | |   (105)  all_54_12 = e0
% 174.34/27.61  | | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | | COMBINE_EQS: (50), (105) imply:
% 174.34/27.61  | | | | | | | | | | | |   (106)  all_52_3 = e0
% 174.34/27.61  | | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | | REDUCE: (52), (106) imply:
% 174.34/27.61  | | | | | | | | | | | |   (107)  $false
% 174.34/27.61  | | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | | CLOSE: (107) is inconsistent.
% 174.34/27.61  | | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | Case 2:
% 174.34/27.61  | | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | |   (108)   ~ (all_54_12 = e0)
% 174.34/27.61  | | | | | | | | | | | |   (109)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 174.34/27.61  | | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | | BETA: splitting (39) gives:
% 174.34/27.61  | | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | | Case 1:
% 174.34/27.61  | | | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | | |   (110)  all_56_12 = e3
% 174.34/27.61  | | | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | | | COMBINE_EQS: (2), (110) imply:
% 174.34/27.61  | | | | | | | | | | | | |   (111)  all_52_3 = e3
% 174.34/27.61  | | | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | | | SIMP: (111) implies:
% 174.34/27.61  | | | | | | | | | | | | |   (112)  all_52_3 = e3
% 174.34/27.61  | | | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | | | COMBINE_EQS: (27), (112) imply:
% 174.34/27.61  | | | | | | | | | | | | |   (113)  all_58_19 = e3
% 174.34/27.61  | | | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | | | REDUCE: (52), (112) imply:
% 174.34/27.61  | | | | | | | | | | | | |   (114)   ~ (e3 = e0)
% 174.34/27.61  | | | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | | | BETA: splitting (24) gives:
% 174.34/27.61  | | | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | | | Case 1:
% 174.34/27.61  | | | | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | | | |   (115)  all_58_27 = e0
% 174.34/27.61  | | | | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | | | | COMBINE_EQS: (95), (115) imply:
% 174.34/27.61  | | | | | | | | | | | | | |   (116)  e1 = e0
% 174.34/27.61  | | | | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | | | | COMBINE_EQS: (92), (116) imply:
% 174.34/27.61  | | | | | | | | | | | | | |   (117)  all_56_14 = e0
% 174.34/27.61  | | | | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | | | | REF_CLOSE: (15), (55), (84), (90), (117) are inconsistent by
% 174.34/27.61  | | | | | | | | | | | | | |            sub-proof #832.
% 174.34/27.61  | | | | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | | | Case 2:
% 174.34/27.61  | | | | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | | | |   (118)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.34/27.61  | | | | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (11), (12), (14), (15), (17), (18),
% 174.34/27.61  | | | | | | | | | | | | | |            (19), (20), (21), (23), (25), (29), (30), (31),
% 174.34/27.61  | | | | | | | | | | | | | |            (32), (33), (34), (35), (36), (37), (38), (40),
% 174.34/27.61  | | | | | | | | | | | | | |            (42), (44), (45), (46), (47), (49), (51), (53),
% 174.34/27.61  | | | | | | | | | | | | | |            (56), (57), (58), (68), (79), (113), (114), (118)
% 174.34/27.61  | | | | | | | | | | | | | |            are inconsistent by sub-proof #813.
% 174.34/27.61  | | | | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | | | End of split
% 174.34/27.61  | | | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | | Case 2:
% 174.34/27.61  | | | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | | |   (119)   ~ (all_56_12 = e3)
% 174.34/27.61  | | | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | | | REDUCE: (2), (119) imply:
% 174.34/27.61  | | | | | | | | | | | | |   (120)   ~ (all_52_3 = e3)
% 174.34/27.61  | | | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | | | REF_CLOSE: (4), (22), (33), (34), (36), (42), (45), (48),
% 174.34/27.61  | | | | | | | | | | | | |            (50), (53), (68), (79), (109), (120) are
% 174.34/27.61  | | | | | | | | | | | | |            inconsistent by sub-proof #806.
% 174.34/27.61  | | | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | | End of split
% 174.34/27.61  | | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | | End of split
% 174.34/27.61  | | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | | End of split
% 174.34/27.61  | | | | | | | | | | 
% 174.34/27.61  | | | | | | | | | End of split
% 174.34/27.61  | | | | | | | | | 
% 174.34/27.61  | | | | | | | | End of split
% 174.34/27.61  | | | | | | | | 
% 174.34/27.61  | | | | | | | End of split
% 174.34/27.61  | | | | | | | 
% 174.34/27.61  | | | | | | Case 2:
% 174.34/27.61  | | | | | | | 
% 174.34/27.61  | | | | | | |   (121)  all_58_16 = e3 | all_58_17 = e2
% 174.34/27.61  | | | | | | | 
% 174.34/27.61  | | | | | | | REF_CLOSE: (36), (42), (53), (68), (121) are inconsistent by
% 174.34/27.61  | | | | | | |            sub-proof #814.
% 174.34/27.61  | | | | | | | 
% 174.34/27.61  | | | | | | End of split
% 174.34/27.61  | | | | | | 
% 174.34/27.61  | | | | | End of split
% 174.34/27.61  | | | | | 
% 174.34/27.61  | | | | End of split
% 174.34/27.61  | | | | 
% 174.34/27.61  | | | End of split
% 174.34/27.61  | | | 
% 174.34/27.61  | | End of split
% 174.34/27.61  | | 
% 174.34/27.61  | End of split
% 174.34/27.61  | 
% 174.34/27.61  End of proof
% 174.34/27.61  
% 174.34/27.61  Sub-proof #806 shows that the following formulas are inconsistent:
% 174.34/27.61  ----------------------------------------------------------------
% 174.34/27.61    (1)   ~ (all_52_2 = all_6_2)
% 174.34/27.61    (2)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.34/27.61    (3)   ~ (all_52_3 = all_6_2)
% 174.34/27.61    (4)   ~ (all_52_3 = e3)
% 174.34/27.61    (5)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.34/27.61    (6)   ~ (all_6_2 = e3)
% 174.34/27.61    (7)  all_58_18 = all_52_2
% 174.34/27.61    (8)  all_58_16 = all_6_2
% 174.34/27.61    (9)  all_58_17 = e0
% 174.34/27.61    (10)  all_54_0 = all_6_2
% 174.34/27.61    (11)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 174.34/27.61    (12)   ~ (all_52_2 = all_52_3)
% 174.34/27.61    (13)  all_54_12 = all_52_3
% 174.34/27.61    (14)   ~ (e2 = e0)
% 174.34/27.61  
% 174.34/27.61  Begin of proof
% 174.34/27.61  | 
% 174.34/27.61  | BETA: splitting (2) gives:
% 174.34/27.61  | 
% 174.34/27.61  | Case 1:
% 174.34/27.61  | | 
% 174.34/27.61  | |   (15)  all_58_18 = e1
% 174.34/27.61  | | 
% 174.34/27.61  | | COMBINE_EQS: (7), (15) imply:
% 174.34/27.61  | |   (16)  all_52_2 = e1
% 174.34/27.61  | | 
% 174.34/27.61  | | REDUCE: (12), (16) imply:
% 174.34/27.61  | |   (17)   ~ (all_52_3 = e1)
% 174.34/27.61  | | 
% 174.34/27.61  | | SIMP: (17) implies:
% 174.34/27.61  | |   (18)   ~ (all_52_3 = e1)
% 174.34/27.61  | | 
% 174.34/27.61  | | REDUCE: (1), (16) imply:
% 174.34/27.61  | |   (19)   ~ (all_6_2 = e1)
% 174.34/27.61  | | 
% 174.34/27.61  | | SIMP: (19) implies:
% 174.34/27.61  | |   (20)   ~ (all_6_2 = e1)
% 174.34/27.61  | | 
% 174.34/27.61  | | REF_CLOSE: (3), (4), (5), (6), (10), (11), (13), (18), (20) are inconsistent
% 174.34/27.61  | |            by sub-proof #807.
% 174.34/27.61  | | 
% 174.34/27.61  | Case 2:
% 174.34/27.61  | | 
% 174.34/27.61  | |   (21)  all_58_16 = e3 | all_58_17 = e2
% 174.34/27.61  | | 
% 174.34/27.61  | | REF_CLOSE: (6), (8), (9), (14), (21) are inconsistent by sub-proof #814.
% 174.34/27.61  | | 
% 174.34/27.61  | End of split
% 174.34/27.61  | 
% 174.34/27.61  End of proof
% 174.34/27.61  
% 174.34/27.61  Sub-proof #807 shows that the following formulas are inconsistent:
% 174.34/27.61  ----------------------------------------------------------------
% 174.34/27.61    (1)   ~ (all_52_3 = all_6_2)
% 174.34/27.61    (2)   ~ (all_52_3 = e3)
% 174.34/27.61    (3)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.34/27.61    (4)   ~ (all_6_2 = e3)
% 174.34/27.61    (5)   ~ (all_52_3 = e1)
% 174.34/27.61    (6)   ~ (all_6_2 = e1)
% 174.34/27.61    (7)  all_54_0 = all_6_2
% 174.34/27.61    (8)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 174.34/27.61    (9)  all_54_12 = all_52_3
% 174.34/27.61  
% 174.34/27.61  Begin of proof
% 174.34/27.61  | 
% 174.34/27.61  | BETA: splitting (3) gives:
% 174.34/27.61  | 
% 174.34/27.61  | Case 1:
% 174.34/27.61  | | 
% 174.34/27.61  | |   (10)  all_54_0 = e1
% 174.34/27.61  | | 
% 174.34/27.61  | | REF_CLOSE: (6), (7), (10) are inconsistent by sub-proof #951.
% 174.34/27.61  | | 
% 174.34/27.61  | Case 2:
% 174.34/27.61  | | 
% 174.34/27.61  | |   (11)  all_54_0 = e3 | all_54_0 = e2
% 174.34/27.61  | | 
% 174.34/27.61  | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (9), (11) are inconsistent by
% 174.34/27.61  | |            sub-proof #808.
% 174.34/27.61  | | 
% 174.34/27.61  | End of split
% 174.34/27.61  | 
% 174.34/27.61  End of proof
% 174.34/27.61  
% 174.34/27.61  Sub-proof #808 shows that the following formulas are inconsistent:
% 174.34/27.61  ----------------------------------------------------------------
% 174.34/27.61    (1)   ~ (all_52_3 = all_6_2)
% 174.34/27.61    (2)   ~ (all_52_3 = e3)
% 174.34/27.61    (3)   ~ (all_6_2 = e3)
% 174.34/27.61    (4)   ~ (all_52_3 = e1)
% 174.34/27.61    (5)  all_54_0 = e3 | all_54_0 = e2
% 174.34/27.61    (6)  all_54_0 = all_6_2
% 174.34/27.61    (7)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 174.34/27.61    (8)  all_54_12 = all_52_3
% 174.34/27.61  
% 174.34/27.61  Begin of proof
% 174.34/27.61  | 
% 174.34/27.61  | BETA: splitting (5) gives:
% 174.34/27.61  | 
% 174.34/27.61  | Case 1:
% 174.34/27.61  | | 
% 174.34/27.61  | |   (9)  all_54_0 = e2
% 174.34/27.61  | | 
% 174.34/27.61  | | COMBINE_EQS: (6), (9) imply:
% 174.34/27.61  | |   (10)  all_6_2 = e2
% 174.34/27.61  | | 
% 174.34/27.61  | | SIMP: (10) implies:
% 174.34/27.61  | |   (11)  all_6_2 = e2
% 174.34/27.61  | | 
% 174.34/27.61  | | REDUCE: (1), (11) imply:
% 174.34/27.61  | |   (12)   ~ (all_52_3 = e2)
% 174.34/27.61  | | 
% 174.34/27.61  | | REF_CLOSE: (2), (4), (7), (8), (12) are inconsistent by sub-proof #809.
% 174.34/27.61  | | 
% 174.34/27.61  | Case 2:
% 174.34/27.61  | | 
% 174.34/27.61  | |   (13)  all_54_0 = e3
% 174.34/27.61  | | 
% 174.34/27.61  | | REF_CLOSE: (3), (6), (13) are inconsistent by sub-proof #945.
% 174.34/27.61  | | 
% 174.34/27.61  | End of split
% 174.34/27.61  | 
% 174.34/27.61  End of proof
% 174.34/27.61  
% 174.34/27.61  Sub-proof #809 shows that the following formulas are inconsistent:
% 174.34/27.61  ----------------------------------------------------------------
% 174.34/27.61    (1)   ~ (all_52_3 = e2)
% 174.34/27.61    (2)   ~ (all_52_3 = e3)
% 174.34/27.61    (3)   ~ (all_52_3 = e1)
% 174.34/27.61    (4)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1
% 174.34/27.61    (5)  all_54_12 = all_52_3
% 174.34/27.61  
% 174.34/27.61  Begin of proof
% 174.34/27.61  | 
% 174.34/27.61  | BETA: splitting (4) gives:
% 174.34/27.61  | 
% 174.34/27.61  | Case 1:
% 174.34/27.61  | | 
% 174.34/27.61  | |   (6)  all_54_12 = e1
% 174.34/27.61  | | 
% 174.34/27.61  | | REF_CLOSE: (3), (5), (6) are inconsistent by sub-proof #812.
% 174.34/27.61  | | 
% 174.34/27.61  | Case 2:
% 174.34/27.61  | | 
% 174.34/27.61  | |   (7)  all_54_12 = e3 | all_54_12 = e2
% 174.34/27.61  | | 
% 174.34/27.61  | | BETA: splitting (7) gives:
% 174.34/27.61  | | 
% 174.34/27.61  | | Case 1:
% 174.34/27.61  | | | 
% 174.34/27.61  | | |   (8)  all_54_12 = e2
% 174.34/27.61  | | | 
% 174.34/27.61  | | | REF_CLOSE: (1), (5), (8) are inconsistent by sub-proof #811.
% 174.34/27.61  | | | 
% 174.34/27.61  | | Case 2:
% 174.34/27.61  | | | 
% 174.34/27.61  | | |   (9)  all_54_12 = e3
% 174.34/27.61  | | | 
% 174.34/27.61  | | | REF_CLOSE: (2), (5), (9) are inconsistent by sub-proof #810.
% 174.34/27.61  | | | 
% 174.34/27.61  | | End of split
% 174.34/27.61  | | 
% 174.34/27.61  | End of split
% 174.34/27.61  | 
% 174.34/27.61  End of proof
% 174.34/27.61  
% 174.34/27.61  Sub-proof #810 shows that the following formulas are inconsistent:
% 174.34/27.61  ----------------------------------------------------------------
% 174.34/27.61    (1)  all_54_12 = all_52_3
% 174.34/27.61    (2)  all_54_12 = e3
% 174.34/27.61    (3)   ~ (all_52_3 = e3)
% 174.34/27.61  
% 174.34/27.61  Begin of proof
% 174.34/27.61  | 
% 174.34/27.61  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.61  |   (4)  all_52_3 = e3
% 174.34/27.61  | 
% 174.34/27.61  | SIMP: (4) implies:
% 174.34/27.61  |   (5)  all_52_3 = e3
% 174.34/27.61  | 
% 174.34/27.61  | REDUCE: (3), (5) imply:
% 174.34/27.61  |   (6)  $false
% 174.34/27.61  | 
% 174.34/27.61  | CLOSE: (6) is inconsistent.
% 174.34/27.61  | 
% 174.34/27.61  End of proof
% 174.34/27.61  
% 174.34/27.61  Sub-proof #811 shows that the following formulas are inconsistent:
% 174.34/27.61  ----------------------------------------------------------------
% 174.34/27.61    (1)  all_54_12 = all_52_3
% 174.34/27.61    (2)  all_54_12 = e2
% 174.34/27.61    (3)   ~ (all_52_3 = e2)
% 174.34/27.61  
% 174.34/27.61  Begin of proof
% 174.34/27.61  | 
% 174.34/27.61  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.61  |   (4)  all_52_3 = e2
% 174.34/27.61  | 
% 174.34/27.61  | SIMP: (4) implies:
% 174.34/27.61  |   (5)  all_52_3 = e2
% 174.34/27.61  | 
% 174.34/27.61  | REDUCE: (3), (5) imply:
% 174.34/27.61  |   (6)  $false
% 174.34/27.61  | 
% 174.34/27.61  | CLOSE: (6) is inconsistent.
% 174.34/27.61  | 
% 174.34/27.61  End of proof
% 174.34/27.61  
% 174.34/27.61  Sub-proof #812 shows that the following formulas are inconsistent:
% 174.34/27.61  ----------------------------------------------------------------
% 174.34/27.61    (1)  all_54_12 = all_52_3
% 174.34/27.61    (2)  all_54_12 = e1
% 174.34/27.61    (3)   ~ (all_52_3 = e1)
% 174.34/27.61  
% 174.34/27.61  Begin of proof
% 174.34/27.61  | 
% 174.34/27.61  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.61  |   (4)  all_52_3 = e1
% 174.34/27.61  | 
% 174.34/27.61  | SIMP: (4) implies:
% 174.34/27.61  |   (5)  all_52_3 = e1
% 174.34/27.61  | 
% 174.34/27.61  | REDUCE: (3), (5) imply:
% 174.34/27.61  |   (6)  $false
% 174.34/27.61  | 
% 174.34/27.61  | CLOSE: (6) is inconsistent.
% 174.34/27.61  | 
% 174.34/27.61  End of proof
% 174.34/27.61  
% 174.34/27.61  Sub-proof #813 shows that the following formulas are inconsistent:
% 174.34/27.61  ----------------------------------------------------------------
% 174.34/27.61    (1)   ~ (all_52_2 = all_6_2)
% 174.34/27.61    (2)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.34/27.61    (3)  all_56_5 = all_52_9
% 174.34/27.61    (4)   ~ (all_14_2 = e0)
% 174.34/27.61    (5)   ~ (all_52_9 = all_4_2)
% 174.34/27.61    (6)  all_56_14 = all_52_11
% 174.34/27.61    (7)  all_56_8 = all_10_2
% 174.34/27.61    (8)  all_58_30 = e0
% 174.34/27.61    (9)   ~ (all_52_9 = e0)
% 174.34/27.61    (10)  all_58_26 = all_10_2
% 174.34/27.61    (11)  all_58_31 = all_14_2
% 174.34/27.61    (12)   ~ (all_52_11 = all_10_2)
% 174.34/27.61    (13)  all_56_0 = all_6_2
% 174.34/27.61    (14)  all_58_27 = all_52_11
% 174.34/27.61    (15)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.34/27.61    (16)  all_56_4 = e0
% 174.34/27.61    (17)   ~ (e3 = e2)
% 174.34/27.61    (18)   ~ (e2 = e1)
% 174.34/27.61    (19)  all_58_19 = e3
% 174.34/27.61    (20)   ~ (all_52_2 = e0)
% 174.34/27.61    (21)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.34/27.61    (22)   ~ (all_6_2 = e3)
% 174.34/27.61    (23)  all_58_18 = all_52_2
% 174.34/27.61    (24)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.34/27.61    (25)  all_58_16 = all_6_2
% 174.34/27.61    (26)   ~ (e3 = e0)
% 174.34/27.61    (27)  all_58_29 = all_52_13
% 174.34/27.61    (28)   ~ (all_52_13 = e0)
% 174.34/27.61    (29)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 174.34/27.61    (30)  all_58_17 = e0
% 174.34/27.61    (31)   ~ (all_52_9 = all_52_11)
% 174.34/27.61    (32)  all_54_0 = all_6_2
% 174.34/27.61    (33)  all_58_24 = e0
% 174.34/27.61    (34)   ~ (all_52_11 = e0)
% 174.34/27.61    (35)  all_58_25 = all_52_9
% 174.34/27.61    (36)  all_58_21 = all_4_2
% 174.34/27.61    (37)   ~ (e2 = e0)
% 174.34/27.61    (38)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 174.34/27.61          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 174.34/27.61          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.34/27.61          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 174.34/27.61          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.34/27.61          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.34/27.61          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.34/27.61          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 174.34/27.61          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.34/27.61          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 174.34/27.61            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 174.34/27.61            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 174.34/27.61            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 174.34/27.61            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 174.34/27.61            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 174.34/27.61            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 174.34/27.61            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 174.34/27.61            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 174.34/27.61            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 174.34/27.61            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 174.34/27.61            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 174.34/27.61            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 174.34/27.61            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 174.34/27.61            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 174.34/27.61            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 174.34/27.61            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.34/27.61          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.34/27.61          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.34/27.61          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 174.34/27.61            all_58_30 = e0 & e1 = e0)
% 174.34/27.61    (39)  all_58_23 = e0
% 174.34/27.61    (40)   ~ (all_52_2 = all_10_2)
% 174.34/27.61  
% 174.34/27.61  Begin of proof
% 174.34/27.61  | 
% 174.34/27.61  | BETA: splitting (2) gives:
% 174.34/27.61  | 
% 174.34/27.61  | Case 1:
% 174.34/27.61  | | 
% 174.34/27.61  | |   (41)  all_58_18 = e1
% 174.34/27.61  | | 
% 174.34/27.61  | | COMBINE_EQS: (23), (41) imply:
% 174.34/27.61  | |   (42)  all_52_2 = e1
% 174.34/27.61  | | 
% 174.34/27.61  | | REDUCE: (40), (42) imply:
% 174.34/27.61  | |   (43)   ~ (all_10_2 = e1)
% 174.34/27.61  | | 
% 174.34/27.61  | | SIMP: (43) implies:
% 174.34/27.61  | |   (44)   ~ (all_10_2 = e1)
% 174.34/27.61  | | 
% 174.34/27.61  | | REDUCE: (1), (42) imply:
% 174.34/27.61  | |   (45)   ~ (all_6_2 = e1)
% 174.34/27.61  | | 
% 174.34/27.61  | | SIMP: (45) implies:
% 174.34/27.61  | |   (46)   ~ (all_6_2 = e1)
% 174.34/27.61  | | 
% 174.34/27.61  | | REDUCE: (20), (42) imply:
% 174.34/27.61  | |   (47)   ~ (e1 = e0)
% 174.34/27.61  | | 
% 174.34/27.61  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 174.34/27.61  | |            (14), (15), (16), (17), (18), (19), (21), (22), (24), (25), (26),
% 174.34/27.61  | |            (27), (28), (29), (30), (31), (32), (33), (34), (35), (36), (38),
% 174.34/27.61  | |            (39), (41), (44), (46), (47) are inconsistent by sub-proof #815.
% 174.34/27.61  | | 
% 174.34/27.61  | Case 2:
% 174.34/27.61  | | 
% 174.34/27.61  | |   (48)  all_58_16 = e3 | all_58_17 = e2
% 174.34/27.61  | | 
% 174.34/27.61  | | REF_CLOSE: (22), (25), (30), (37), (48) are inconsistent by sub-proof #814.
% 174.34/27.61  | | 
% 174.34/27.61  | End of split
% 174.34/27.61  | 
% 174.34/27.61  End of proof
% 174.34/27.61  
% 174.34/27.61  Sub-proof #814 shows that the following formulas are inconsistent:
% 174.34/27.61  ----------------------------------------------------------------
% 174.34/27.61    (1)   ~ (all_6_2 = e3)
% 174.34/27.61    (2)  all_58_16 = all_6_2
% 174.34/27.61    (3)  all_58_17 = e0
% 174.34/27.61    (4)  all_58_16 = e3 | all_58_17 = e2
% 174.34/27.61    (5)   ~ (e2 = e0)
% 174.34/27.61  
% 174.34/27.61  Begin of proof
% 174.34/27.61  | 
% 174.34/27.61  | BETA: splitting (4) gives:
% 174.34/27.61  | 
% 174.34/27.61  | Case 1:
% 174.34/27.61  | | 
% 174.34/27.61  | |   (6)  all_58_17 = e2
% 174.34/27.61  | | 
% 174.34/27.61  | | REF_CLOSE: (3), (5), (6) are inconsistent by sub-proof #981.
% 174.34/27.61  | | 
% 174.34/27.61  | Case 2:
% 174.34/27.61  | | 
% 174.34/27.61  | |   (7)  all_58_16 = e3
% 174.34/27.61  | | 
% 174.34/27.61  | | COMBINE_EQS: (2), (7) imply:
% 174.34/27.61  | |   (8)  all_6_2 = e3
% 174.34/27.61  | | 
% 174.34/27.61  | | REDUCE: (1), (8) imply:
% 174.34/27.61  | |   (9)  $false
% 174.34/27.61  | | 
% 174.34/27.61  | | CLOSE: (9) is inconsistent.
% 174.34/27.61  | | 
% 174.34/27.61  | End of split
% 174.34/27.61  | 
% 174.34/27.61  End of proof
% 174.34/27.61  
% 174.34/27.61  Sub-proof #815 shows that the following formulas are inconsistent:
% 174.34/27.61  ----------------------------------------------------------------
% 174.34/27.61    (1)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.34/27.61    (2)  all_56_5 = all_52_9
% 174.34/27.61    (3)   ~ (all_14_2 = e0)
% 174.34/27.61    (4)   ~ (all_52_9 = all_4_2)
% 174.34/27.61    (5)  all_56_14 = all_52_11
% 174.34/27.61    (6)  all_56_8 = all_10_2
% 174.34/27.61    (7)  all_58_30 = e0
% 174.34/27.61    (8)   ~ (all_52_9 = e0)
% 174.34/27.61    (9)  all_58_26 = all_10_2
% 174.34/27.61    (10)  all_58_31 = all_14_2
% 174.34/27.61    (11)   ~ (all_52_11 = all_10_2)
% 174.34/27.61    (12)  all_56_0 = all_6_2
% 174.34/27.61    (13)  all_58_27 = all_52_11
% 174.34/27.61    (14)   ~ (all_10_2 = e1)
% 174.34/27.61    (15)  all_58_18 = e1
% 174.34/27.61    (16)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.34/27.61    (17)  all_56_4 = e0
% 174.34/27.61    (18)   ~ (e3 = e2)
% 174.34/27.61    (19)   ~ (e2 = e1)
% 174.34/27.61    (20)  all_58_19 = e3
% 174.34/27.61    (21)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.34/27.61    (22)   ~ (all_6_2 = e3)
% 174.34/27.61    (23)   ~ (all_6_2 = e1)
% 174.34/27.61    (24)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.34/27.61    (25)  all_58_16 = all_6_2
% 174.34/27.61    (26)   ~ (e3 = e0)
% 174.34/27.61    (27)  all_58_29 = all_52_13
% 174.34/27.61    (28)   ~ (all_52_13 = e0)
% 174.34/27.61    (29)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 174.34/27.61    (30)  all_58_17 = e0
% 174.34/27.61    (31)   ~ (all_52_9 = all_52_11)
% 174.34/27.61    (32)  all_54_0 = all_6_2
% 174.34/27.61    (33)  all_58_24 = e0
% 174.34/27.61    (34)   ~ (all_52_11 = e0)
% 174.34/27.61    (35)  all_58_25 = all_52_9
% 174.34/27.61    (36)  all_58_21 = all_4_2
% 174.34/27.61    (37)   ~ (e1 = e0)
% 174.34/27.61    (38)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 174.34/27.61          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 174.34/27.61          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.34/27.61          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 174.34/27.61          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.34/27.61          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.34/27.61          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.34/27.61          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 174.34/27.61          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.34/27.61          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 174.34/27.61            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 174.34/27.61            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 174.34/27.61            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 174.34/27.61            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 174.34/27.61            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 174.34/27.61            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 174.34/27.61            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 174.34/27.61            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 174.34/27.61            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 174.34/27.61            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 174.34/27.61            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 174.34/27.61            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 174.34/27.61            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 174.34/27.61            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 174.34/27.61            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 174.34/27.61            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.34/27.61          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.34/27.61          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.34/27.61          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 174.34/27.61            all_58_30 = e0 & e1 = e0)
% 174.34/27.61    (39)  all_58_23 = e0
% 174.34/27.61  
% 174.34/27.61  Begin of proof
% 174.34/27.61  | 
% 174.34/27.61  | BETA: splitting (24) gives:
% 174.34/27.61  | 
% 174.34/27.61  | Case 1:
% 174.34/27.61  | | 
% 174.34/27.61  | |   (40)  all_56_0 = e2
% 174.34/27.61  | | 
% 174.34/27.61  | | COMBINE_EQS: (12), (40) imply:
% 174.34/27.61  | |   (41)  all_6_2 = e2
% 174.34/27.61  | | 
% 174.34/27.61  | | COMBINE_EQS: (25), (41) imply:
% 174.34/27.61  | |   (42)  all_58_16 = e2
% 174.34/27.61  | | 
% 174.34/27.61  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13),
% 174.34/27.61  | |            (14), (15), (16), (17), (18), (19), (20), (26), (27), (28), (29),
% 174.34/27.61  | |            (30), (31), (33), (34), (35), (36), (37), (38), (39), (42) are
% 174.34/27.61  | |            inconsistent by sub-proof #816.
% 174.34/27.61  | | 
% 174.34/27.61  | Case 2:
% 174.34/27.61  | | 
% 174.34/27.61  | |   (43)   ~ (all_56_0 = e2)
% 174.34/27.61  | | 
% 174.34/27.61  | | REDUCE: (12), (43) imply:
% 174.34/27.61  | |   (44)   ~ (all_6_2 = e2)
% 174.34/27.61  | | 
% 174.34/27.61  | | REF_CLOSE: (21), (22), (23), (32), (44) are inconsistent by sub-proof #848.
% 174.34/27.61  | | 
% 174.34/27.61  | End of split
% 174.34/27.61  | 
% 174.34/27.61  End of proof
% 174.34/27.61  
% 174.34/27.61  Sub-proof #816 shows that the following formulas are inconsistent:
% 174.34/27.61  ----------------------------------------------------------------
% 174.34/27.61    (1)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.34/27.61    (2)  all_56_5 = all_52_9
% 174.34/27.61    (3)   ~ (all_14_2 = e0)
% 174.34/27.61    (4)   ~ (all_52_9 = all_4_2)
% 174.34/27.61    (5)  all_56_14 = all_52_11
% 174.34/27.61    (6)  all_56_8 = all_10_2
% 174.34/27.61    (7)  all_58_30 = e0
% 174.34/27.61    (8)   ~ (all_52_9 = e0)
% 174.34/27.61    (9)  all_58_26 = all_10_2
% 174.34/27.61    (10)  all_58_31 = all_14_2
% 174.34/27.61    (11)   ~ (all_52_11 = all_10_2)
% 174.34/27.61    (12)  all_58_27 = all_52_11
% 174.34/27.61    (13)   ~ (all_10_2 = e1)
% 174.34/27.61    (14)  all_58_18 = e1
% 174.34/27.61    (15)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.34/27.61    (16)  all_56_4 = e0
% 174.34/27.61    (17)   ~ (e3 = e2)
% 174.34/27.61    (18)   ~ (e2 = e1)
% 174.34/27.61    (19)  all_58_19 = e3
% 174.34/27.61    (20)  all_58_16 = e2
% 174.34/27.61    (21)   ~ (e3 = e0)
% 174.34/27.61    (22)  all_58_29 = all_52_13
% 174.34/27.61    (23)   ~ (all_52_13 = e0)
% 174.34/27.61    (24)  all_56_4 = e1 | all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 174.34/27.61    (25)  all_58_17 = e0
% 174.34/27.61    (26)   ~ (all_52_9 = all_52_11)
% 174.34/27.61    (27)  all_58_24 = e0
% 174.34/27.61    (28)   ~ (all_52_11 = e0)
% 174.34/27.61    (29)  all_58_25 = all_52_9
% 174.34/27.61    (30)  all_58_21 = all_4_2
% 174.34/27.61    (31)   ~ (e1 = e0)
% 174.34/27.61    (32)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | all_58_31 = e0 |
% 174.34/27.61          (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) |
% 174.34/27.61          (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.34/27.61          (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2) |
% 174.34/27.61          (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.34/27.61          (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.34/27.61          (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.34/27.61          (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25 = e1) |
% 174.34/27.61          (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.34/27.61          (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 &
% 174.34/27.61            all_58_19 = e0 & all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 174.34/27.61            all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 174.34/27.61            all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 = e1 &
% 174.34/27.61            all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18 = e1 &
% 174.34/27.61            all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 174.34/27.61            all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 174.34/27.61            all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0 &
% 174.34/27.61            all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 174.34/27.61            all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 = e2 &
% 174.34/27.61            all_58_28 = e0 & all_58_29 = e2) | (all_58_19 = e0 & all_58_27 = e1 &
% 174.34/27.61            all_58_28 = e0 & all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 174.34/27.61            e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 174.34/27.61            all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 174.34/27.61            all_58_30 = e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 174.34/27.61            all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 174.34/27.61            all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.34/27.61          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.34/27.61          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.34/27.61          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 174.34/27.61            all_58_30 = e0 & e1 = e0)
% 174.34/27.61    (33)  all_58_23 = e0
% 174.34/27.61  
% 174.34/27.61  Begin of proof
% 174.34/27.61  | 
% 174.34/27.61  | BETA: splitting (32) gives:
% 174.34/27.61  | 
% 174.34/27.61  | Case 1:
% 174.34/27.61  | | 
% 174.34/27.61  | |   (34)  all_58_31 = e0
% 174.34/27.61  | | 
% 174.34/27.61  | | REF_CLOSE: (3), (10), (34) are inconsistent by sub-proof #831.
% 174.34/27.61  | | 
% 174.34/27.61  | Case 2:
% 174.34/27.61  | | 
% 174.34/27.61  | |   (35)  all_58_16 = e3 | all_58_21 = e2 | all_58_26 = e1 | (all_58_17 = e3 &
% 174.34/27.61  | |           all_58_18 = e1 & all_58_20 = e3 & all_58_24 = e1) | (all_58_17 =
% 174.34/27.61  | |           e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.34/27.61  | |         (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 = e2)
% 174.34/27.61  | |         | (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 & all_58_29 =
% 174.34/27.61  | |           e2) | (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 174.34/27.61  | |           all_58_24 = e3) | (all_58_17 = e2 & all_58_19 = e3 & all_58_20 =
% 174.34/27.61  | |           e2 & all_58_28 = e3) | (all_58_17 = e2 & all_58_20 = e2 &
% 174.34/27.61  | |           all_58_22 = e1 & all_58_25 = e1) | (all_58_17 = e2 & all_58_20 =
% 174.34/27.61  | |           e2 & all_58_23 = e0 & all_58_29 = e0) | (all_58_17 = e2 &
% 174.34/27.61  | |           all_58_20 = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 = e0 &
% 174.34/27.61  | |           all_58_24 = e3 & all_58_28 = e0) | (all_58_18 = e3 & all_58_22 =
% 174.34/27.61  | |           e1 & all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 174.34/27.61  | |           all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) | (all_58_18 =
% 174.34/27.61  | |           e1 & all_58_19 = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 174.34/27.61  | |         (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25 = e2)
% 174.34/27.61  | |         | (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 & all_58_30 =
% 174.34/27.61  | |           e0) | (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) | (all_58_19 =
% 174.34/27.61  | |           e3 & all_58_23 = e0 & all_58_28 = e3 & all_58_29 = e0) |
% 174.34/27.61  | |         (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 & all_58_30 = e0)
% 174.34/27.61  | |         | (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29 =
% 174.34/27.61  | |           e2) | (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 174.34/27.61  | |           all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.34/27.61  | |         (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 & all_58_29 = e0)
% 174.34/27.61  | |         | (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 & all_58_30 =
% 174.34/27.61  | |           e1) | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 174.34/27.61  | |           all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 & all_58_27 =
% 174.34/27.61  | |           e0 & all_58_30 = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1)
% 174.34/27.61  | |         | (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30 =
% 174.34/27.61  | |           e0) | (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 174.34/27.61  | |           all_58_30 = e1) | (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 174.34/27.61  | |         (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.34/27.61  | | 
% 174.34/27.61  | | BETA: splitting (15) gives:
% 174.34/27.61  | | 
% 174.34/27.61  | | Case 1:
% 174.34/27.61  | | | 
% 174.34/27.61  | | |   (36)  all_58_26 = e1
% 174.34/27.61  | | | 
% 174.34/27.62  | | | REF_CLOSE: (9), (13), (36) are inconsistent by sub-proof #968.
% 174.34/27.62  | | | 
% 174.34/27.62  | | Case 2:
% 174.34/27.62  | | | 
% 174.34/27.62  | | |   (37)   ~ (all_58_26 = e1)
% 174.34/27.62  | | |   (38)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.62  | | | 
% 174.34/27.62  | | | BETA: splitting (38) gives:
% 174.34/27.62  | | | 
% 174.34/27.62  | | | Case 1:
% 174.34/27.62  | | | | 
% 174.34/27.62  | | | |   (39)  all_58_25 = e2
% 174.34/27.62  | | | | 
% 174.34/27.62  | | | | COMBINE_EQS: (29), (39) imply:
% 174.34/27.62  | | | |   (40)  all_52_9 = e2
% 174.34/27.62  | | | | 
% 174.34/27.62  | | | | SIMP: (40) implies:
% 174.34/27.62  | | | |   (41)  all_52_9 = e2
% 174.34/27.62  | | | | 
% 174.34/27.62  | | | | COMBINE_EQS: (2), (41) imply:
% 174.34/27.62  | | | |   (42)  all_56_5 = e2
% 174.34/27.62  | | | | 
% 174.34/27.62  | | | | REDUCE: (26), (41) imply:
% 174.34/27.62  | | | |   (43)   ~ (all_52_11 = e2)
% 174.34/27.62  | | | | 
% 174.34/27.62  | | | | SIMP: (43) implies:
% 174.34/27.62  | | | |   (44)   ~ (all_52_11 = e2)
% 174.34/27.62  | | | | 
% 174.34/27.62  | | | | REDUCE: (4), (41) imply:
% 174.34/27.62  | | | |   (45)   ~ (all_4_2 = e2)
% 174.34/27.62  | | | | 
% 174.34/27.62  | | | | SIMP: (45) implies:
% 174.34/27.62  | | | |   (46)   ~ (all_4_2 = e2)
% 174.34/27.62  | | | | 
% 174.34/27.62  | | | | REDUCE: (8), (41) imply:
% 174.34/27.62  | | | |   (47)   ~ (e2 = e0)
% 174.34/27.62  | | | | 
% 174.34/27.62  | | | | BETA: splitting (35) gives:
% 174.34/27.62  | | | | 
% 174.34/27.62  | | | | Case 1:
% 174.34/27.62  | | | | | 
% 174.34/27.62  | | | | |   (48)  all_58_26 = e1
% 174.34/27.62  | | | | | 
% 174.34/27.62  | | | | | REF_CLOSE: (9), (13), (48) are inconsistent by sub-proof #968.
% 174.34/27.62  | | | | | 
% 174.34/27.62  | | | | Case 2:
% 174.34/27.62  | | | | | 
% 174.34/27.62  | | | | |   (49)  all_58_16 = e3 | all_58_21 = e2 | (all_58_17 = e3 & all_58_18
% 174.34/27.62  | | | | |           = e1 & all_58_20 = e3 & all_58_24 = e1) | (all_58_17 = e3 &
% 174.34/27.62  | | | | |           all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.34/27.62  | | | | |         (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25
% 174.34/27.62  | | | | |           = e2) | (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 174.34/27.62  | | | | |           all_58_29 = e2) | (all_58_17 = e2 & all_58_18 = e3 &
% 174.34/27.62  | | | | |           all_58_20 = e2 & all_58_24 = e3) | (all_58_17 = e2 &
% 174.34/27.62  | | | | |           all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.34/27.62  | | | | |         (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 & all_58_25
% 174.34/27.62  | | | | |           = e1) | (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 174.34/27.62  | | | | |           all_58_29 = e0) | (all_58_17 = e2 & all_58_20 = e2 & e3 =
% 174.34/27.62  | | | | |           e2) | (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 174.34/27.62  | | | | |           all_58_28 = e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 174.34/27.62  | | | | |           all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 174.34/27.62  | | | | |           all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 174.34/27.62  | | | | |         (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 & all_58_28
% 174.34/27.62  | | | | |           = e3) | (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 &
% 174.34/27.62  | | | | |           all_58_25 = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 174.34/27.62  | | | | |           all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1 &
% 174.34/27.62  | | | | |           all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 & all_58_23 = e0
% 174.34/27.62  | | | | |           & all_58_28 = e3 & all_58_29 = e0) | (all_58_19 = e3 &
% 174.34/27.62  | | | | |           all_58_27 = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 174.34/27.62  | | | | |         (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29
% 174.34/27.62  | | | | |           = e2) | (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 174.34/27.62  | | | | |           all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 & e3 =
% 174.34/27.62  | | | | |           e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 174.34/27.62  | | | | |           all_58_29 = e0) | (all_58_22 = e2 & all_58_25 = e2 &
% 174.34/27.62  | | | | |           all_58_27 = e1 & all_58_30 = e1) | (all_58_22 = e1 &
% 174.34/27.62  | | | | |           all_58_23 = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 174.34/27.62  | | | | |         (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 & all_58_30
% 174.34/27.62  | | | | |           = e0) | (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.34/27.62  | | | | |         (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 & all_58_30
% 174.34/27.62  | | | | |           = e0) | (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 174.34/27.62  | | | | |           all_58_30 = e1) | (all_58_23 = e0 & all_58_29 = e0 & e2 =
% 174.34/27.62  | | | | |           e0) | (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.34/27.62  | | | | | 
% 174.34/27.62  | | | | | BETA: splitting (24) gives:
% 174.34/27.62  | | | | | 
% 174.34/27.62  | | | | | Case 1:
% 174.34/27.62  | | | | | | 
% 174.34/27.62  | | | | | |   (50)  all_56_4 = e1
% 174.34/27.62  | | | | | | 
% 174.34/27.62  | | | | | | COMBINE_EQS: (16), (50) imply:
% 174.34/27.62  | | | | | |   (51)  e1 = e0
% 174.34/27.62  | | | | | | 
% 174.34/27.62  | | | | | | REDUCE: (31), (51) imply:
% 174.34/27.62  | | | | | |   (52)  $false
% 174.34/27.62  | | | | | | 
% 174.34/27.62  | | | | | | CLOSE: (52) is inconsistent.
% 174.34/27.62  | | | | | | 
% 174.34/27.62  | | | | | Case 2:
% 174.34/27.62  | | | | | | 
% 174.34/27.62  | | | | | |   (53)  all_56_5 = e1 | all_56_8 = e1 | all_56_14 = e1
% 174.34/27.62  | | | | | | 
% 174.34/27.62  | | | | | | BETA: splitting (53) gives:
% 174.34/27.62  | | | | | | 
% 174.34/27.62  | | | | | | Case 1:
% 174.34/27.62  | | | | | | | 
% 174.34/27.62  | | | | | | |   (54)  all_56_5 = e1
% 174.34/27.62  | | | | | | | 
% 174.34/27.62  | | | | | | | REF_CLOSE: (18), (42), (54) are inconsistent by sub-proof #830.
% 174.34/27.62  | | | | | | | 
% 174.34/27.62  | | | | | | Case 2:
% 174.34/27.62  | | | | | | | 
% 174.34/27.62  | | | | | | |   (55)  all_56_8 = e1 | all_56_14 = e1
% 174.34/27.62  | | | | | | | 
% 174.34/27.62  | | | | | | | BETA: splitting (55) gives:
% 174.34/27.62  | | | | | | | 
% 174.34/27.62  | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | 
% 174.34/27.62  | | | | | | | |   (56)  all_56_8 = e1
% 174.34/27.62  | | | | | | | | 
% 174.34/27.62  | | | | | | | | REF_CLOSE: (6), (13), (56) are inconsistent by sub-proof #833.
% 174.34/27.62  | | | | | | | | 
% 174.34/27.62  | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | 
% 174.34/27.62  | | | | | | | |   (57)  all_56_14 = e1
% 174.34/27.62  | | | | | | | | 
% 174.34/27.62  | | | | | | | | COMBINE_EQS: (5), (57) imply:
% 174.34/27.62  | | | | | | | |   (58)  all_52_11 = e1
% 174.34/27.62  | | | | | | | | 
% 174.34/27.62  | | | | | | | | SIMP: (58) implies:
% 174.34/27.62  | | | | | | | |   (59)  all_52_11 = e1
% 174.34/27.62  | | | | | | | | 
% 174.34/27.62  | | | | | | | | COMBINE_EQS: (12), (59) imply:
% 174.34/27.62  | | | | | | | |   (60)  all_58_27 = e1
% 174.34/27.62  | | | | | | | | 
% 174.34/27.62  | | | | | | | | REDUCE: (11), (59) imply:
% 174.34/27.62  | | | | | | | |   (61)   ~ (all_10_2 = e1)
% 174.34/27.62  | | | | | | | | 
% 174.34/27.62  | | | | | | | | REDUCE: (44), (59) imply:
% 174.34/27.62  | | | | | | | |   (62)   ~ (e2 = e1)
% 174.34/27.62  | | | | | | | | 
% 174.34/27.62  | | | | | | | | BETA: splitting (49) gives:
% 174.34/27.62  | | | | | | | | 
% 174.34/27.62  | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | 
% 174.34/27.62  | | | | | | | | |   (63)  all_58_21 = e2
% 174.34/27.62  | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | REF_CLOSE: (30), (46), (63) are inconsistent by sub-proof
% 174.34/27.62  | | | | | | | | |            #829.
% 174.34/27.62  | | | | | | | | | 
% 174.34/27.62  | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | 
% 174.34/27.62  | | | | | | | | |   (64)  all_58_16 = e3 | (all_58_17 = e3 & all_58_18 = e1 &
% 174.34/27.62  | | | | | | | | |           all_58_20 = e3 & all_58_24 = e1) | (all_58_17 = e3 &
% 174.34/27.62  | | | | | | | | |           all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.34/27.62  | | | | | | | | |         (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 &
% 174.34/27.62  | | | | | | | | |           all_58_25 = e2) | (all_58_17 = e3 & all_58_20 = e3 &
% 174.34/27.62  | | | | | | | | |           all_58_23 = e2 & all_58_29 = e2) | (all_58_17 = e2 &
% 174.34/27.62  | | | | | | | | |           all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.34/27.62  | | | | | | | | |         (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 &
% 174.34/27.62  | | | | | | | | |           all_58_28 = e3) | (all_58_17 = e2 & all_58_20 = e2 &
% 174.34/27.62  | | | | | | | | |           all_58_22 = e1 & all_58_25 = e1) | (all_58_17 = e2 &
% 174.34/27.62  | | | | | | | | |           all_58_20 = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.34/27.62  | | | | | | | | |         (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 174.34/27.62  | | | | | | | | |         (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 174.34/27.62  | | | | | | | | |           all_58_28 = e0) | (all_58_18 = e3 & all_58_22 = e1 &
% 174.34/27.62  | | | | | | | | |           all_58_24 = e3 & all_58_25 = e1) | (all_58_18 = e3 &
% 174.34/27.62  | | | | | | | | |           all_58_24 = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 174.34/27.62  | | | | | | | | |         (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 174.34/27.62  | | | | | | | | |           all_58_28 = e3) | (all_58_18 = e1 & all_58_22 = e2 &
% 174.34/27.62  | | | | | | | | |           all_58_24 = e1 & all_58_25 = e2) | (all_58_18 = e1 &
% 174.34/27.62  | | | | | | | | |           all_58_24 = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 174.34/27.62  | | | | | | | | |         (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 174.34/27.62  | | | | | | | | |         (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 174.34/27.62  | | | | | | | | |           all_58_29 = e0) | (all_58_19 = e3 & all_58_27 = e0 &
% 174.34/27.62  | | | | | | | | |           all_58_28 = e3 & all_58_30 = e0) | (all_58_19 = e0 &
% 174.34/27.62  | | | | | | | | |           all_58_23 = e2 & all_58_28 = e0 & all_58_29 = e2) |
% 174.34/27.62  | | | | | | | | |         (all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 174.34/27.62  | | | | | | | | |           all_58_30 = e1) | (all_58_19 = e0 & all_58_28 = e0 &
% 174.34/27.62  | | | | | | | | |           e3 = e0) | (all_58_22 = e2 & all_58_23 = e0 &
% 174.34/27.62  | | | | | | | | |           all_58_25 = e2 & all_58_29 = e0) | (all_58_22 = e2 &
% 174.34/27.62  | | | | | | | | |           all_58_25 = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 174.34/27.62  | | | | | | | | |         (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 174.34/27.62  | | | | | | | | |           all_58_29 = e2) | (all_58_22 = e1 & all_58_25 = e1 &
% 174.34/27.62  | | | | | | | | |           all_58_27 = e0 & all_58_30 = e0) | (all_58_22 = e1 &
% 174.34/27.62  | | | | | | | | |           all_58_25 = e1 & e2 = e1) | (all_58_23 = e2 &
% 174.34/27.62  | | | | | | | | |           all_58_27 = e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.34/27.62  | | | | | | | | |         (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 174.34/27.62  | | | | | | | | |           all_58_30 = e1) | (all_58_23 = e0 & all_58_29 = e0 &
% 174.34/27.62  | | | | | | | | |           e2 = e0) | (all_58_27 = e0 & all_58_30 = e0 & e1 =
% 174.34/27.62  | | | | | | | | |           e0)
% 174.34/27.62  | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | BETA: splitting (64) gives:
% 174.34/27.62  | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | |   (65)  all_58_16 = e3
% 174.34/27.62  | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | COMBINE_EQS: (20), (65) imply:
% 174.34/27.62  | | | | | | | | | |   (66)  e3 = e2
% 174.34/27.62  | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | REDUCE: (17), (66) imply:
% 174.34/27.62  | | | | | | | | | |   (67)  $false
% 174.34/27.62  | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | CLOSE: (67) is inconsistent.
% 174.34/27.62  | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | |   (68)   ~ (all_58_16 = e3)
% 174.34/27.62  | | | | | | | | | |   (69)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 174.34/27.62  | | | | | | | | | |           all_58_24 = e1) | (all_58_17 = e3 & all_58_19 = e0
% 174.34/27.62  | | | | | | | | | |           & all_58_20 = e3 & all_58_28 = e0) | (all_58_17 =
% 174.34/27.62  | | | | | | | | | |           e3 & all_58_20 = e3 & all_58_22 = e2 & all_58_25 =
% 174.34/27.62  | | | | | | | | | |           e2) | (all_58_17 = e3 & all_58_20 = e3 & all_58_23
% 174.34/27.62  | | | | | | | | | |           = e2 & all_58_29 = e2) | (all_58_17 = e2 &
% 174.34/27.62  | | | | | | | | | |           all_58_18 = e3 & all_58_20 = e2 & all_58_24 = e3)
% 174.34/27.62  | | | | | | | | | |         | (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 174.34/27.62  | | | | | | | | | |           & all_58_28 = e3) | (all_58_17 = e2 & all_58_20 =
% 174.34/27.62  | | | | | | | | | |           e2 & all_58_22 = e1 & all_58_25 = e1) | (all_58_17
% 174.34/27.62  | | | | | | | | | |           = e2 & all_58_20 = e2 & all_58_23 = e0 & all_58_29
% 174.34/27.62  | | | | | | | | | |           = e0) | (all_58_17 = e2 & all_58_20 = e2 & e3 =
% 174.34/27.62  | | | | | | | | | |           e2) | (all_58_18 = e3 & all_58_19 = e0 & all_58_24
% 174.34/27.62  | | | | | | | | | |           = e3 & all_58_28 = e0) | (all_58_18 = e3 &
% 174.34/27.62  | | | | | | | | | |           all_58_22 = e1 & all_58_24 = e3 & all_58_25 = e1)
% 174.34/27.62  | | | | | | | | | |         | (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 174.34/27.62  | | | | | | | | | |           & all_58_30 = e1) | (all_58_18 = e1 & all_58_19 =
% 174.34/27.62  | | | | | | | | | |           e3 & all_58_24 = e1 & all_58_28 = e3) | (all_58_18
% 174.34/27.62  | | | | | | | | | |           = e1 & all_58_22 = e2 & all_58_24 = e1 & all_58_25
% 174.34/27.62  | | | | | | | | | |           = e2) | (all_58_18 = e1 & all_58_24 = e1 &
% 174.34/27.62  | | | | | | | | | |           all_58_27 = e0 & all_58_30 = e0) | (all_58_18 = e1
% 174.34/27.62  | | | | | | | | | |           & all_58_24 = e1 & e3 = e1) | (all_58_19 = e3 &
% 174.34/27.62  | | | | | | | | | |           all_58_23 = e0 & all_58_28 = e3 & all_58_29 = e0)
% 174.34/27.62  | | | | | | | | | |         | (all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3
% 174.34/27.62  | | | | | | | | | |           & all_58_30 = e0) | (all_58_19 = e0 & all_58_23 =
% 174.34/27.62  | | | | | | | | | |           e2 & all_58_28 = e0 & all_58_29 = e2) | (all_58_19
% 174.34/27.62  | | | | | | | | | |           = e0 & all_58_27 = e1 & all_58_28 = e0 & all_58_30
% 174.34/27.62  | | | | | | | | | |           = e1) | (all_58_19 = e0 & all_58_28 = e0 & e3 =
% 174.34/27.62  | | | | | | | | | |           e0) | (all_58_22 = e2 & all_58_23 = e0 & all_58_25
% 174.34/27.62  | | | | | | | | | |           = e2 & all_58_29 = e0) | (all_58_22 = e2 &
% 174.34/27.62  | | | | | | | | | |           all_58_25 = e2 & all_58_27 = e1 & all_58_30 = e1)
% 174.34/27.62  | | | | | | | | | |         | (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 174.34/27.62  | | | | | | | | | |           & all_58_29 = e2) | (all_58_22 = e1 & all_58_25 =
% 174.34/27.62  | | | | | | | | | |           e1 & all_58_27 = e0 & all_58_30 = e0) | (all_58_22
% 174.34/27.62  | | | | | | | | | |           = e1 & all_58_25 = e1 & e2 = e1) | (all_58_23 = e2
% 174.34/27.62  | | | | | | | | | |           & all_58_27 = e0 & all_58_29 = e2 & all_58_30 =
% 174.34/27.62  | | | | | | | | | |           e0) | (all_58_23 = e0 & all_58_27 = e1 & all_58_29
% 174.34/27.62  | | | | | | | | | |           = e0 & all_58_30 = e1) | (all_58_23 = e0 &
% 174.34/27.62  | | | | | | | | | |           all_58_29 = e0 & e2 = e0) | (all_58_27 = e0 &
% 174.34/27.62  | | | | | | | | | |           all_58_30 = e0 & e1 = e0)
% 174.34/27.62  | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | REDUCE: (20), (68) imply:
% 174.34/27.62  | | | | | | | | | |   (70)   ~ (e3 = e2)
% 174.34/27.62  | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | BETA: splitting (69) gives:
% 174.34/27.62  | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | |   (71)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 174.34/27.62  | | | | | | | | | | |           & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 174.34/27.62  | | | | | | | | | | |           = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.34/27.62  | | | | | | | | | | |         (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 174.34/27.62  | | | | | | | | | | |           & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 174.34/27.62  | | | | | | | | | | |           = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.34/27.62  | | | | | | | | | | |         (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 174.34/27.62  | | | | | | | | | | |           & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 174.34/27.62  | | | | | | | | | | |           = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.34/27.62  | | | | | | | | | | |         (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 174.34/27.62  | | | | | | | | | | |           & all_58_25 = e1) | (all_58_17 = e2 & all_58_20
% 174.34/27.62  | | | | | | | | | | |           = e2 & all_58_23 = e0 & all_58_29 = e0) |
% 174.34/27.62  | | | | | | | | | | |         (all_58_17 = e2 & all_58_20 = e2 & e3 = e2) |
% 174.34/27.62  | | | | | | | | | | |         (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 174.34/27.62  | | | | | | | | | | |           & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 174.34/27.62  | | | | | | | | | | |           = e1 & all_58_24 = e3 & all_58_25 = e1) |
% 174.34/27.62  | | | | | | | | | | |         (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 174.34/27.62  | | | | | | | | | | |           & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 174.34/27.62  | | | | | | | | | | |           = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 174.34/27.62  | | | | | | | | | | |         (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 174.34/27.62  | | | | | | | | | | |           & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 174.34/27.62  | | | | | | | | | | |           = e1 & all_58_27 = e0 & all_58_30 = e0)
% 174.34/27.62  | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | BETA: splitting (71) gives:
% 174.34/27.62  | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | |   (72)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 174.34/27.62  | | | | | | | | | | | |           & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 174.34/27.62  | | | | | | | | | | | |           = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.34/27.62  | | | | | | | | | | | |         (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 174.34/27.62  | | | | | | | | | | | |           & all_58_25 = e2) | (all_58_17 = e3 & all_58_20
% 174.34/27.62  | | | | | | | | | | | |           = e3 & all_58_23 = e2 & all_58_29 = e2) |
% 174.34/27.62  | | | | | | | | | | | |         (all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2
% 174.34/27.62  | | | | | | | | | | | |           & all_58_24 = e3) | (all_58_17 = e2 & all_58_19
% 174.34/27.62  | | | | | | | | | | | |           = e3 & all_58_20 = e2 & all_58_28 = e3) |
% 174.34/27.62  | | | | | | | | | | | |         (all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1
% 174.34/27.62  | | | | | | | | | | | |           & all_58_25 = e1)
% 174.34/27.62  | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | BETA: splitting (72) gives:
% 174.34/27.62  | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | |   (73)  (all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3
% 174.34/27.62  | | | | | | | | | | | | |           & all_58_24 = e1) | (all_58_17 = e3 & all_58_19
% 174.34/27.62  | | | | | | | | | | | | |           = e0 & all_58_20 = e3 & all_58_28 = e0) |
% 174.34/27.62  | | | | | | | | | | | | |         (all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2
% 174.34/27.62  | | | | | | | | | | | | |           & all_58_25 = e2)
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | BETA: splitting (73) gives:
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | |   (74)  all_58_17 = e3 & all_58_18 = e1 & all_58_20 = e3 &
% 174.34/27.62  | | | | | | | | | | | | | |         all_58_24 = e1
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | ALPHA: (74) implies:
% 174.34/27.62  | | | | | | | | | | | | | |   (75)  all_58_24 = e1
% 174.34/27.62  | | | | | | | | | | | | | |   (76)  all_58_17 = e3
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | COMBINE_EQS: (27), (75) imply:
% 174.34/27.62  | | | | | | | | | | | | | |   (77)  e1 = e0
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | COMBINE_EQS: (14), (77) imply:
% 174.34/27.62  | | | | | | | | | | | | | |   (78)  all_58_18 = e0
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | REF_CLOSE: (1), (17), (20), (31), (76), (78) are inconsistent
% 174.34/27.62  | | | | | | | | | | | | | |            by sub-proof #828.
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | |   (79)  (all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3
% 174.34/27.62  | | | | | | | | | | | | | |           & all_58_28 = e0) | (all_58_17 = e3 & all_58_20
% 174.34/27.62  | | | | | | | | | | | | | |           = e3 & all_58_22 = e2 & all_58_25 = e2)
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | |   (80)  all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 &
% 174.34/27.62  | | | | | | | | | | | | | | |         all_58_28 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | REF_CLOSE: (19), (21), (80) are inconsistent by sub-proof
% 174.34/27.62  | | | | | | | | | | | | | | |            #827.
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | |   (81)  all_58_17 = e3 & all_58_20 = e3 & all_58_22 = e2 &
% 174.34/27.62  | | | | | | | | | | | | | | |         all_58_25 = e2
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | ALPHA: (81) implies:
% 174.34/27.62  | | | | | | | | | | | | | | |   (82)  all_58_17 = e3
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | COMBINE_EQS: (25), (82) imply:
% 174.34/27.62  | | | | | | | | | | | | | | |   (83)  e3 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | REDUCE: (21), (83) imply:
% 174.34/27.62  | | | | | | | | | | | | | | |   (84)  $false
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | CLOSE: (84) is inconsistent.
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | End of split
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | End of split
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | |   (85)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 174.34/27.62  | | | | | | | | | | | | |           & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 174.34/27.62  | | | | | | | | | | | | |           = e3 & all_58_20 = e2 & all_58_24 = e3) |
% 174.34/27.62  | | | | | | | | | | | | |         (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 174.34/27.62  | | | | | | | | | | | | |           & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 174.34/27.62  | | | | | | | | | | | | |           = e2 & all_58_22 = e1 & all_58_25 = e1)
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | BETA: splitting (85) gives:
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | |   (86)  (all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2
% 174.34/27.62  | | | | | | | | | | | | | |           & all_58_29 = e2) | (all_58_17 = e2 & all_58_18
% 174.34/27.62  | | | | | | | | | | | | | |           = e3 & all_58_20 = e2 & all_58_24 = e3)
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | BETA: splitting (86) gives:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | |   (87)  all_58_17 = e3 & all_58_20 = e3 & all_58_23 = e2 &
% 174.34/27.62  | | | | | | | | | | | | | | |         all_58_29 = e2
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | ALPHA: (87) implies:
% 174.34/27.62  | | | | | | | | | | | | | | |   (88)  all_58_23 = e2
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | COMBINE_EQS: (33), (88) imply:
% 174.34/27.62  | | | | | | | | | | | | | | |   (89)  e2 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | REDUCE: (47), (89) imply:
% 174.34/27.62  | | | | | | | | | | | | | | |   (90)  $false
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | CLOSE: (90) is inconsistent.
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | |   (91)  all_58_17 = e2 & all_58_18 = e3 & all_58_20 = e2 &
% 174.34/27.62  | | | | | | | | | | | | | | |         all_58_24 = e3
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | ALPHA: (91) implies:
% 174.34/27.62  | | | | | | | | | | | | | | |   (92)  all_58_24 = e3
% 174.34/27.62  | | | | | | | | | | | | | | |   (93)  all_58_18 = e3
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (14), (27), (31), (55), (57), (92),
% 174.34/27.62  | | | | | | | | | | | | | | |            (93) are inconsistent by sub-proof #825.
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | End of split
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | |   (94)  (all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2
% 174.34/27.62  | | | | | | | | | | | | | |           & all_58_28 = e3) | (all_58_17 = e2 & all_58_20
% 174.34/27.62  | | | | | | | | | | | | | |           = e2 & all_58_22 = e1 & all_58_25 = e1)
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | |   (95)  all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 &
% 174.34/27.62  | | | | | | | | | | | | | | |         all_58_28 = e3
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | REF_CLOSE: (25), (47), (95) are inconsistent by sub-proof
% 174.34/27.62  | | | | | | | | | | | | | | |            #824.
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | |   (96)  all_58_17 = e2 & all_58_20 = e2 & all_58_22 = e1 &
% 174.34/27.62  | | | | | | | | | | | | | | |         all_58_25 = e1
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | ALPHA: (96) implies:
% 174.34/27.62  | | | | | | | | | | | | | | |   (97)  all_58_25 = e1
% 174.34/27.62  | | | | | | | | | | | | | | |   (98)  all_58_17 = e2
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | COMBINE_EQS: (25), (98) imply:
% 174.34/27.62  | | | | | | | | | | | | | | |   (99)  e2 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | COMBINE_EQS: (39), (97) imply:
% 174.34/27.62  | | | | | | | | | | | | | | |   (100)  e2 = e1
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | SIMP: (100) implies:
% 174.34/27.62  | | | | | | | | | | | | | | |   (101)  e2 = e1
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | COMBINE_EQS: (99), (101) imply:
% 174.34/27.62  | | | | | | | | | | | | | | |   (102)  e1 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | COMBINE_EQS: (57), (102) imply:
% 174.34/27.62  | | | | | | | | | | | | | | |   (103)  all_56_14 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (31), (55), (103) are inconsistent by
% 174.34/27.62  | | | | | | | | | | | | | | |            sub-proof #832.
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | End of split
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | End of split
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | End of split
% 174.34/27.62  | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | |   (104)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 174.34/27.62  | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 174.34/27.62  | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 174.34/27.62  | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 174.34/27.62  | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 174.34/27.62  | | | | | | | | | | | |            & all_58_25 = e1) | (all_58_18 = e3 & all_58_24
% 174.34/27.62  | | | | | | | | | | | |            = e3 & all_58_27 = e1 & all_58_30 = e1) |
% 174.34/27.62  | | | | | | | | | | | |          (all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1
% 174.34/27.62  | | | | | | | | | | | |            & all_58_28 = e3) | (all_58_18 = e1 & all_58_22
% 174.34/27.62  | | | | | | | | | | | |            = e2 & all_58_24 = e1 & all_58_25 = e2) |
% 174.34/27.62  | | | | | | | | | | | |          (all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0
% 174.34/27.62  | | | | | | | | | | | |            & all_58_30 = e0)
% 174.34/27.62  | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | BETA: splitting (104) gives:
% 174.34/27.62  | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | |   (105)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 174.34/27.62  | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 174.34/27.62  | | | | | | | | | | | | |            = e2 & e3 = e2) | (all_58_18 = e3 & all_58_19 =
% 174.34/27.62  | | | | | | | | | | | | |            e0 & all_58_24 = e3 & all_58_28 = e0) |
% 174.34/27.62  | | | | | | | | | | | | |          (all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3
% 174.34/27.62  | | | | | | | | | | | | |            & all_58_25 = e1)
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | BETA: splitting (105) gives:
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | |   (106)  (all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0
% 174.34/27.62  | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_17 = e2 & all_58_20
% 174.34/27.62  | | | | | | | | | | | | | |            = e2 & e3 = e2)
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | |   (107)  all_58_17 = e2 & all_58_20 = e2 & all_58_23 = e0 &
% 174.34/27.62  | | | | | | | | | | | | | | |          all_58_29 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | ALPHA: (107) implies:
% 174.34/27.62  | | | | | | | | | | | | | | |   (108)  all_58_17 = e2
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | COMBINE_EQS: (25), (108) imply:
% 174.34/27.62  | | | | | | | | | | | | | | |   (109)  e2 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | REDUCE: (47), (109) imply:
% 174.34/27.62  | | | | | | | | | | | | | | |   (110)  $false
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | CLOSE: (110) is inconsistent.
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | |   (111)  all_58_17 = e2 & all_58_20 = e2 & e3 = e2
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | REF_CLOSE: (25), (47), (111) are inconsistent by sub-proof
% 174.34/27.62  | | | | | | | | | | | | | | |            #823.
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | End of split
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | |   (112)  (all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3
% 174.34/27.62  | | | | | | | | | | | | | |            & all_58_28 = e0) | (all_58_18 = e3 & all_58_22
% 174.34/27.62  | | | | | | | | | | | | | |            = e1 & all_58_24 = e3 & all_58_25 = e1)
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | BETA: splitting (112) gives:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | |   (113)  all_58_18 = e3 & all_58_19 = e0 & all_58_24 = e3 &
% 174.34/27.62  | | | | | | | | | | | | | | |          all_58_28 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | ALPHA: (113) implies:
% 174.34/27.62  | | | | | | | | | | | | | | |   (114)  all_58_24 = e3
% 174.34/27.62  | | | | | | | | | | | | | | |   (115)  all_58_18 = e3
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (14), (27), (31), (55), (57), (114),
% 174.34/27.62  | | | | | | | | | | | | | | |            (115) are inconsistent by sub-proof #822.
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | |   (116)  all_58_18 = e3 & all_58_22 = e1 & all_58_24 = e3 &
% 174.34/27.62  | | | | | | | | | | | | | | |          all_58_25 = e1
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | ALPHA: (116) implies:
% 174.34/27.62  | | | | | | | | | | | | | | |   (117)  all_58_24 = e3
% 174.34/27.62  | | | | | | | | | | | | | | |   (118)  all_58_18 = e3
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (14), (27), (31), (55), (57), (117),
% 174.34/27.62  | | | | | | | | | | | | | | |            (118) are inconsistent by sub-proof #825.
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | End of split
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | End of split
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | |   (119)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 174.34/27.62  | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 174.34/27.62  | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3) |
% 174.34/27.62  | | | | | | | | | | | | |          (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 174.34/27.62  | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 174.34/27.62  | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | BETA: splitting (119) gives:
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | |   (120)  (all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1
% 174.34/27.62  | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_18 = e1 & all_58_19
% 174.34/27.62  | | | | | | | | | | | | | |            = e3 & all_58_24 = e1 & all_58_28 = e3)
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | BETA: splitting (120) gives:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | |   (121)  all_58_18 = e3 & all_58_24 = e3 & all_58_27 = e1 &
% 174.34/27.62  | | | | | | | | | | | | | | |          all_58_30 = e1
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | ALPHA: (121) implies:
% 174.34/27.62  | | | | | | | | | | | | | | |   (122)  all_58_24 = e3
% 174.34/27.62  | | | | | | | | | | | | | | |   (123)  all_58_18 = e3
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (14), (27), (31), (55), (57), (122),
% 174.34/27.62  | | | | | | | | | | | | | | |            (123) are inconsistent by sub-proof #822.
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | |   (124)  all_58_18 = e1 & all_58_19 = e3 & all_58_24 = e1 &
% 174.34/27.62  | | | | | | | | | | | | | | |          all_58_28 = e3
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | ALPHA: (124) implies:
% 174.34/27.62  | | | | | | | | | | | | | | |   (125)  all_58_24 = e1
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (27), (31), (55), (57), (125) are
% 174.34/27.62  | | | | | | | | | | | | | | |            inconsistent by sub-proof #821.
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | End of split
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | |   (126)  (all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1
% 174.34/27.62  | | | | | | | | | | | | | |            & all_58_25 = e2) | (all_58_18 = e1 & all_58_24
% 174.34/27.62  | | | | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0)
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | BETA: splitting (126) gives:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | |   (127)  all_58_18 = e1 & all_58_22 = e2 & all_58_24 = e1 &
% 174.34/27.62  | | | | | | | | | | | | | | |          all_58_25 = e2
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | ALPHA: (127) implies:
% 174.34/27.62  | | | | | | | | | | | | | | |   (128)  all_58_24 = e1
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (27), (31), (55), (57), (128) are
% 174.34/27.62  | | | | | | | | | | | | | | |            inconsistent by sub-proof #821.
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | |   (129)  all_58_18 = e1 & all_58_24 = e1 & all_58_27 = e0 &
% 174.34/27.62  | | | | | | | | | | | | | | |          all_58_30 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | ALPHA: (129) implies:
% 174.34/27.62  | | | | | | | | | | | | | | |   (130)  all_58_27 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (31), (55), (57), (60), (130) are
% 174.34/27.62  | | | | | | | | | | | | | | |            inconsistent by sub-proof #820.
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | End of split
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | End of split
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | End of split
% 174.34/27.62  | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | End of split
% 174.34/27.62  | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | |   (131)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 174.34/27.62  | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.34/27.62  | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.34/27.62  | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 174.34/27.62  | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.34/27.62  | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.34/27.62  | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 174.34/27.62  | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.34/27.62  | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.34/27.62  | | | | | | | | | | |            & all_58_29 = e0) | (all_58_22 = e2 & all_58_25
% 174.34/27.62  | | | | | | | | | | |            = e2 & all_58_27 = e1 & all_58_30 = e1) |
% 174.34/27.62  | | | | | | | | | | |          (all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1
% 174.34/27.62  | | | | | | | | | | |            & all_58_29 = e2) | (all_58_22 = e1 & all_58_25
% 174.34/27.62  | | | | | | | | | | |            = e1 & all_58_27 = e0 & all_58_30 = e0) |
% 174.34/27.62  | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & e2 = e1) |
% 174.34/27.62  | | | | | | | | | | |          (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 174.34/27.62  | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 174.34/27.62  | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.34/27.62  | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 174.34/27.62  | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.34/27.62  | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | BETA: splitting (131) gives:
% 174.34/27.62  | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | |   (132)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 174.34/27.62  | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.34/27.62  | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.34/27.62  | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0) |
% 174.34/27.62  | | | | | | | | | | | |          (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.34/27.62  | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.34/27.62  | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 174.34/27.62  | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.34/27.62  | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.34/27.62  | | | | | | | | | | | |            & all_58_29 = e0)
% 174.34/27.62  | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | BETA: splitting (132) gives:
% 174.34/27.62  | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | |   (133)  (all_58_18 = e1 & all_58_24 = e1 & e3 = e1) |
% 174.34/27.62  | | | | | | | | | | | | |          (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.34/27.62  | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.34/27.62  | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | BETA: splitting (133) gives:
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | |   (134)  all_58_18 = e1 & all_58_24 = e1 & e3 = e1
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | ALPHA: (134) implies:
% 174.34/27.62  | | | | | | | | | | | | | |   (135)  all_58_24 = e1
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (27), (31), (55), (57), (135) are
% 174.34/27.62  | | | | | | | | | | | | | |            inconsistent by sub-proof #821.
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | |   (136)  (all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3
% 174.34/27.62  | | | | | | | | | | | | | |            & all_58_29 = e0) | (all_58_19 = e3 & all_58_27
% 174.34/27.62  | | | | | | | | | | | | | |            = e0 & all_58_28 = e3 & all_58_30 = e0)
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | BETA: splitting (136) gives:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | |   (137)  all_58_19 = e3 & all_58_23 = e0 & all_58_28 = e3 &
% 174.34/27.62  | | | | | | | | | | | | | | |          all_58_29 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | ALPHA: (137) implies:
% 174.34/27.62  | | | | | | | | | | | | | | |   (138)  all_58_29 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | COMBINE_EQS: (22), (138) imply:
% 174.34/27.62  | | | | | | | | | | | | | | |   (139)  all_52_13 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | REDUCE: (23), (139) imply:
% 174.34/27.62  | | | | | | | | | | | | | | |   (140)  $false
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | CLOSE: (140) is inconsistent.
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | |   (141)  all_58_19 = e3 & all_58_27 = e0 & all_58_28 = e3 &
% 174.34/27.62  | | | | | | | | | | | | | | |          all_58_30 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | ALPHA: (141) implies:
% 174.34/27.62  | | | | | | | | | | | | | | |   (142)  all_58_27 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (31), (55), (57), (60), (142) are
% 174.34/27.62  | | | | | | | | | | | | | | |            inconsistent by sub-proof #820.
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | End of split
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | End of split
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | |   (143)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.34/27.62  | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.34/27.62  | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1) |
% 174.34/27.62  | | | | | | | | | | | | |          (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.34/27.62  | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.34/27.62  | | | | | | | | | | | | |            & all_58_29 = e0)
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | BETA: splitting (143) gives:
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | |   (144)  (all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0
% 174.34/27.62  | | | | | | | | | | | | | |            & all_58_29 = e2) | (all_58_19 = e0 & all_58_27
% 174.34/27.62  | | | | | | | | | | | | | |            = e1 & all_58_28 = e0 & all_58_30 = e1)
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | |   (145)  all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 &
% 174.34/27.62  | | | | | | | | | | | | | | |          all_58_29 = e2
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | REF_CLOSE: (33), (47), (145) are inconsistent by sub-proof
% 174.34/27.62  | | | | | | | | | | | | | | |            #819.
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | |   (146)  all_58_19 = e0 & all_58_27 = e1 & all_58_28 = e0 &
% 174.34/27.62  | | | | | | | | | | | | | | |          all_58_30 = e1
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | ALPHA: (146) implies:
% 174.34/27.62  | | | | | | | | | | | | | | |   (147)  all_58_30 = e1
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | COMBINE_EQS: (7), (147) imply:
% 174.34/27.62  | | | | | | | | | | | | | | |   (148)  e1 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (31), (55), (57), (148) are
% 174.34/27.62  | | | | | | | | | | | | | | |            inconsistent by sub-proof #826.
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | End of split
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | |   (149)  (all_58_19 = e0 & all_58_28 = e0 & e3 = e0) |
% 174.34/27.62  | | | | | | | | | | | | | |          (all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2
% 174.34/27.62  | | | | | | | | | | | | | |            & all_58_29 = e0)
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | |   (150)  all_58_19 = e0 & all_58_28 = e0 & e3 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | REF_CLOSE: (19), (21), (150) are inconsistent by sub-proof
% 174.34/27.62  | | | | | | | | | | | | | | |            #818.
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | |   (151)  all_58_22 = e2 & all_58_23 = e0 & all_58_25 = e2 &
% 174.34/27.62  | | | | | | | | | | | | | | |          all_58_29 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | ALPHA: (151) implies:
% 174.34/27.62  | | | | | | | | | | | | | | |   (152)  all_58_29 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | COMBINE_EQS: (22), (152) imply:
% 174.34/27.62  | | | | | | | | | | | | | | |   (153)  all_52_13 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | REDUCE: (23), (153) imply:
% 174.34/27.62  | | | | | | | | | | | | | | |   (154)  $false
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | CLOSE: (154) is inconsistent.
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | End of split
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | End of split
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | End of split
% 174.34/27.62  | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | |   (155)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 174.34/27.62  | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 174.34/27.62  | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 174.34/27.62  | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 174.34/27.62  | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 174.34/27.62  | | | | | | | | | | | |            = e1 & e2 = e1) | (all_58_23 = e2 & all_58_27 =
% 174.34/27.62  | | | | | | | | | | | |            e0 & all_58_29 = e2 & all_58_30 = e0) |
% 174.34/27.62  | | | | | | | | | | | |          (all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0
% 174.34/27.62  | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_23 = e0 & all_58_29
% 174.34/27.62  | | | | | | | | | | | |            = e0 & e2 = e0) | (all_58_27 = e0 & all_58_30 =
% 174.34/27.62  | | | | | | | | | | | |            e0 & e1 = e0)
% 174.34/27.62  | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | BETA: splitting (155) gives:
% 174.34/27.62  | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | |   (156)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 174.34/27.62  | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 174.34/27.62  | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2) |
% 174.34/27.62  | | | | | | | | | | | | |          (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 174.34/27.62  | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 174.34/27.62  | | | | | | | | | | | | |            = e1 & e2 = e1)
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | BETA: splitting (156) gives:
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | |   (157)  (all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1
% 174.34/27.62  | | | | | | | | | | | | | |            & all_58_30 = e1) | (all_58_22 = e1 & all_58_23
% 174.34/27.62  | | | | | | | | | | | | | |            = e2 & all_58_25 = e1 & all_58_29 = e2)
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | |   (158)  all_58_22 = e2 & all_58_25 = e2 & all_58_27 = e1 &
% 174.34/27.62  | | | | | | | | | | | | | | |          all_58_30 = e1
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | ALPHA: (158) implies:
% 174.34/27.62  | | | | | | | | | | | | | | |   (159)  all_58_30 = e1
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | COMBINE_EQS: (7), (159) imply:
% 174.34/27.62  | | | | | | | | | | | | | | |   (160)  e1 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (31), (55), (57), (160) are
% 174.34/27.62  | | | | | | | | | | | | | | |            inconsistent by sub-proof #826.
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | |   (161)  all_58_22 = e1 & all_58_23 = e2 & all_58_25 = e1 &
% 174.34/27.62  | | | | | | | | | | | | | | |          all_58_29 = e2
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | ALPHA: (161) implies:
% 174.34/27.62  | | | | | | | | | | | | | | |   (162)  all_58_25 = e1
% 174.34/27.62  | | | | | | | | | | | | | | |   (163)  all_58_23 = e2
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | COMBINE_EQS: (33), (163) imply:
% 174.34/27.62  | | | | | | | | | | | | | | |   (164)  e2 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | COMBINE_EQS: (39), (162) imply:
% 174.34/27.62  | | | | | | | | | | | | | | |   (165)  e2 = e1
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | SIMP: (165) implies:
% 174.34/27.62  | | | | | | | | | | | | | | |   (166)  e2 = e1
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | COMBINE_EQS: (164), (166) imply:
% 174.34/27.62  | | | | | | | | | | | | | | |   (167)  e1 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (31), (55), (57), (167) are
% 174.34/27.62  | | | | | | | | | | | | | | |            inconsistent by sub-proof #826.
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | End of split
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | |   (168)  (all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0
% 174.34/27.62  | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_22 = e1 & all_58_25
% 174.34/27.62  | | | | | | | | | | | | | |            = e1 & e2 = e1)
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | |   (169)  all_58_22 = e1 & all_58_25 = e1 & all_58_27 = e0 &
% 174.34/27.62  | | | | | | | | | | | | | | |          all_58_30 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | ALPHA: (169) implies:
% 174.34/27.62  | | | | | | | | | | | | | | |   (170)  all_58_27 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (31), (55), (57), (60), (170) are
% 174.34/27.62  | | | | | | | | | | | | | | |            inconsistent by sub-proof #820.
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | |   (171)  all_58_22 = e1 & all_58_25 = e1 & e2 = e1
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | ALPHA: (171) implies:
% 174.34/27.62  | | | | | | | | | | | | | | |   (172)  all_58_25 = e1
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | REF_CLOSE: (18), (39), (172) are inconsistent by sub-proof
% 174.34/27.62  | | | | | | | | | | | | | | |            #817.
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | End of split
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | End of split
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | |   (173)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 174.34/27.62  | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 174.34/27.62  | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1) |
% 174.34/27.62  | | | | | | | | | | | | |          (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 174.34/27.62  | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | BETA: splitting (173) gives:
% 174.34/27.62  | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | |   (174)  (all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2
% 174.34/27.62  | | | | | | | | | | | | | |            & all_58_30 = e0) | (all_58_23 = e0 & all_58_27
% 174.34/27.62  | | | | | | | | | | | | | |            = e1 & all_58_29 = e0 & all_58_30 = e1)
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | BETA: splitting (174) gives:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | |   (175)  all_58_23 = e2 & all_58_27 = e0 & all_58_29 = e2 &
% 174.34/27.62  | | | | | | | | | | | | | | |          all_58_30 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | ALPHA: (175) implies:
% 174.34/27.62  | | | | | | | | | | | | | | |   (176)  all_58_27 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (31), (55), (57), (60), (176) are
% 174.34/27.62  | | | | | | | | | | | | | | |            inconsistent by sub-proof #820.
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | |   (177)  all_58_23 = e0 & all_58_27 = e1 & all_58_29 = e0 &
% 174.34/27.62  | | | | | | | | | | | | | | |          all_58_30 = e1
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | ALPHA: (177) implies:
% 174.34/27.62  | | | | | | | | | | | | | | |   (178)  all_58_30 = e1
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | COMBINE_EQS: (7), (178) imply:
% 174.34/27.62  | | | | | | | | | | | | | | |   (179)  e1 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (31), (55), (57), (179) are
% 174.34/27.62  | | | | | | | | | | | | | | |            inconsistent by sub-proof #826.
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | End of split
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | |   (180)  (all_58_23 = e0 & all_58_29 = e0 & e2 = e0) |
% 174.34/27.62  | | | | | | | | | | | | | |          (all_58_27 = e0 & all_58_30 = e0 & e1 = e0)
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 174.34/27.62  | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | Case 1:
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | |   (181)  all_58_23 = e0 & all_58_29 = e0 & e2 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | ALPHA: (181) implies:
% 174.34/27.62  | | | | | | | | | | | | | | |   (182)  e2 = e0
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | REDUCE: (47), (182) imply:
% 174.34/27.62  | | | | | | | | | | | | | | |   (183)  $false
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | | CLOSE: (183) is inconsistent.
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.62  | | | | | | | | | | | | | | Case 2:
% 174.34/27.62  | | | | | | | | | | | | | | | 
% 174.34/27.63  | | | | | | | | | | | | | | |   (184)  all_58_27 = e0 & all_58_30 = e0 & e1 = e0
% 174.34/27.63  | | | | | | | | | | | | | | | 
% 174.34/27.63  | | | | | | | | | | | | | | | ALPHA: (184) implies:
% 174.34/27.63  | | | | | | | | | | | | | | |   (185)  all_58_27 = e0
% 174.34/27.63  | | | | | | | | | | | | | | | 
% 174.34/27.63  | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (31), (55), (57), (60), (185) are
% 174.34/27.63  | | | | | | | | | | | | | | |            inconsistent by sub-proof #820.
% 174.34/27.63  | | | | | | | | | | | | | | | 
% 174.34/27.63  | | | | | | | | | | | | | | End of split
% 174.34/27.63  | | | | | | | | | | | | | | 
% 174.34/27.63  | | | | | | | | | | | | | End of split
% 174.34/27.63  | | | | | | | | | | | | | 
% 174.34/27.63  | | | | | | | | | | | | End of split
% 174.34/27.63  | | | | | | | | | | | | 
% 174.34/27.63  | | | | | | | | | | | End of split
% 174.34/27.63  | | | | | | | | | | | 
% 174.34/27.63  | | | | | | | | | | End of split
% 174.34/27.63  | | | | | | | | | | 
% 174.34/27.63  | | | | | | | | | End of split
% 174.34/27.63  | | | | | | | | | 
% 174.34/27.63  | | | | | | | | End of split
% 174.34/27.63  | | | | | | | | 
% 174.34/27.63  | | | | | | | End of split
% 174.34/27.63  | | | | | | | 
% 174.34/27.63  | | | | | | End of split
% 174.34/27.63  | | | | | | 
% 174.34/27.63  | | | | | End of split
% 174.34/27.63  | | | | | 
% 174.34/27.63  | | | | End of split
% 174.34/27.63  | | | | 
% 174.34/27.63  | | | Case 2:
% 174.34/27.63  | | | | 
% 174.34/27.63  | | | |   (186)  all_58_24 = e3
% 174.34/27.63  | | | | 
% 174.34/27.63  | | | | COMBINE_EQS: (27), (186) imply:
% 174.34/27.63  | | | |   (187)  e3 = e0
% 174.34/27.63  | | | | 
% 174.34/27.63  | | | | REDUCE: (21), (187) imply:
% 174.34/27.63  | | | |   (188)  $false
% 174.34/27.63  | | | | 
% 174.34/27.63  | | | | CLOSE: (188) is inconsistent.
% 174.34/27.63  | | | | 
% 174.34/27.63  | | | End of split
% 174.34/27.63  | | | 
% 174.34/27.63  | | End of split
% 174.34/27.63  | | 
% 174.34/27.63  | End of split
% 174.34/27.63  | 
% 174.34/27.63  End of proof
% 174.34/27.63  
% 174.34/27.63  Sub-proof #817 shows that the following formulas are inconsistent:
% 174.34/27.63  ----------------------------------------------------------------
% 174.34/27.63    (1)  all_58_25 = e2
% 174.34/27.63    (2)  all_58_25 = e1
% 174.34/27.63    (3)   ~ (e2 = e1)
% 174.34/27.63  
% 174.34/27.63  Begin of proof
% 174.34/27.63  | 
% 174.34/27.63  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.63  |   (4)  e2 = e1
% 174.34/27.63  | 
% 174.34/27.63  | SIMP: (4) implies:
% 174.34/27.63  |   (5)  e2 = e1
% 174.34/27.63  | 
% 174.34/27.63  | REDUCE: (3), (5) imply:
% 174.34/27.63  |   (6)  $false
% 174.34/27.63  | 
% 174.34/27.63  | CLOSE: (6) is inconsistent.
% 174.34/27.63  | 
% 174.34/27.63  End of proof
% 174.34/27.63  
% 174.34/27.63  Sub-proof #818 shows that the following formulas are inconsistent:
% 174.34/27.63  ----------------------------------------------------------------
% 174.34/27.63    (1)  all_58_19 = e0 & all_58_28 = e0 & e3 = e0
% 174.34/27.63    (2)  all_58_19 = e3
% 174.34/27.63    (3)   ~ (e3 = e0)
% 174.34/27.63  
% 174.34/27.63  Begin of proof
% 174.34/27.63  | 
% 174.34/27.63  | ALPHA: (1) implies:
% 174.34/27.63  |   (4)  all_58_19 = e0
% 174.34/27.63  | 
% 174.34/27.63  | COMBINE_EQS: (2), (4) imply:
% 174.34/27.63  |   (5)  e3 = e0
% 174.34/27.63  | 
% 174.34/27.63  | REDUCE: (3), (5) imply:
% 174.34/27.63  |   (6)  $false
% 174.34/27.63  | 
% 174.34/27.63  | CLOSE: (6) is inconsistent.
% 174.34/27.63  | 
% 174.34/27.63  End of proof
% 174.34/27.63  
% 174.34/27.63  Sub-proof #819 shows that the following formulas are inconsistent:
% 174.34/27.63  ----------------------------------------------------------------
% 174.34/27.63    (1)  all_58_19 = e0 & all_58_23 = e2 & all_58_28 = e0 & all_58_29 = e2
% 174.34/27.63    (2)  all_58_23 = e0
% 174.34/27.63    (3)   ~ (e2 = e0)
% 174.34/27.63  
% 174.34/27.63  Begin of proof
% 174.34/27.63  | 
% 174.34/27.63  | ALPHA: (1) implies:
% 174.34/27.63  |   (4)  all_58_23 = e2
% 174.34/27.63  | 
% 174.34/27.63  | COMBINE_EQS: (2), (4) imply:
% 174.34/27.63  |   (5)  e2 = e0
% 174.34/27.63  | 
% 174.34/27.63  | REDUCE: (3), (5) imply:
% 174.34/27.63  |   (6)  $false
% 174.34/27.63  | 
% 174.34/27.63  | CLOSE: (6) is inconsistent.
% 174.34/27.63  | 
% 174.34/27.63  End of proof
% 174.34/27.63  
% 174.34/27.63  Sub-proof #820 shows that the following formulas are inconsistent:
% 174.34/27.63  ----------------------------------------------------------------
% 174.34/27.63    (1)  all_56_8 = all_10_2
% 174.34/27.63    (2)  all_56_8 = e1 | all_56_14 = e1
% 174.34/27.63    (3)   ~ (all_10_2 = e1)
% 174.34/27.63    (4)  all_56_14 = e1
% 174.34/27.63    (5)  all_58_27 = e1
% 174.34/27.63    (6)  all_58_27 = e0
% 174.34/27.63    (7)   ~ (e1 = e0)
% 174.34/27.63  
% 174.34/27.63  Begin of proof
% 174.34/27.63  | 
% 174.34/27.63  | COMBINE_EQS: (5), (6) imply:
% 174.34/27.63  |   (8)  e1 = e0
% 174.34/27.63  | 
% 174.34/27.63  | COMBINE_EQS: (4), (8) imply:
% 174.34/27.63  |   (9)  all_56_14 = e0
% 174.34/27.63  | 
% 174.34/27.63  | REF_CLOSE: (1), (2), (3), (7), (9) are inconsistent by sub-proof #832.
% 174.34/27.63  | 
% 174.34/27.63  End of proof
% 174.34/27.63  
% 174.34/27.63  Sub-proof #821 shows that the following formulas are inconsistent:
% 174.34/27.63  ----------------------------------------------------------------
% 174.34/27.63    (1)  all_58_24 = e1
% 174.34/27.63    (2)  all_56_8 = all_10_2
% 174.34/27.63    (3)  all_56_8 = e1 | all_56_14 = e1
% 174.34/27.63    (4)   ~ (all_10_2 = e1)
% 174.34/27.63    (5)  all_56_14 = e1
% 174.34/27.63    (6)  all_58_24 = e0
% 174.34/27.63    (7)   ~ (e1 = e0)
% 174.34/27.63  
% 174.34/27.63  Begin of proof
% 174.34/27.63  | 
% 174.34/27.63  | COMBINE_EQS: (1), (6) imply:
% 174.34/27.63  |   (8)  e1 = e0
% 174.34/27.63  | 
% 174.34/27.63  | COMBINE_EQS: (5), (8) imply:
% 174.34/27.63  |   (9)  all_56_14 = e0
% 174.34/27.63  | 
% 174.34/27.63  | REF_CLOSE: (2), (3), (4), (7), (9) are inconsistent by sub-proof #832.
% 174.34/27.63  | 
% 174.34/27.63  End of proof
% 174.34/27.63  
% 174.34/27.63  Sub-proof #822 shows that the following formulas are inconsistent:
% 174.34/27.63  ----------------------------------------------------------------
% 174.34/27.63    (1)  all_58_24 = e3
% 174.34/27.63    (2)  all_56_8 = all_10_2
% 174.34/27.63    (3)  all_56_8 = e1 | all_56_14 = e1
% 174.34/27.63    (4)  all_58_18 = e3
% 174.34/27.63    (5)   ~ (all_10_2 = e1)
% 174.34/27.63    (6)  all_58_18 = e1
% 174.34/27.63    (7)  all_56_14 = e1
% 174.34/27.63    (8)  all_58_24 = e0
% 174.34/27.63    (9)   ~ (e1 = e0)
% 174.34/27.63  
% 174.34/27.63  Begin of proof
% 174.34/27.63  | 
% 174.34/27.63  | COMBINE_EQS: (4), (6) imply:
% 174.34/27.63  |   (10)  e3 = e1
% 174.34/27.63  | 
% 174.34/27.63  | COMBINE_EQS: (1), (8) imply:
% 174.34/27.63  |   (11)  e3 = e0
% 174.34/27.63  | 
% 174.34/27.63  | COMBINE_EQS: (10), (11) imply:
% 174.34/27.63  |   (12)  e1 = e0
% 174.34/27.63  | 
% 174.34/27.63  | COMBINE_EQS: (7), (12) imply:
% 174.34/27.63  |   (13)  all_56_14 = e0
% 174.34/27.63  | 
% 174.34/27.63  | REF_CLOSE: (2), (3), (5), (9), (13) are inconsistent by sub-proof #832.
% 174.34/27.63  | 
% 174.34/27.63  End of proof
% 174.34/27.63  
% 174.34/27.63  Sub-proof #823 shows that the following formulas are inconsistent:
% 174.34/27.63  ----------------------------------------------------------------
% 174.34/27.63    (1)  all_58_17 = e2 & all_58_20 = e2 & e3 = e2
% 174.34/27.63    (2)  all_58_17 = e0
% 174.34/27.63    (3)   ~ (e2 = e0)
% 174.34/27.63  
% 174.34/27.63  Begin of proof
% 174.34/27.63  | 
% 174.34/27.63  | ALPHA: (1) implies:
% 174.34/27.63  |   (4)  all_58_17 = e2
% 174.34/27.63  | 
% 174.34/27.63  | COMBINE_EQS: (2), (4) imply:
% 174.34/27.63  |   (5)  e2 = e0
% 174.34/27.63  | 
% 174.34/27.63  | REDUCE: (3), (5) imply:
% 174.34/27.63  |   (6)  $false
% 174.34/27.63  | 
% 174.34/27.63  | CLOSE: (6) is inconsistent.
% 174.34/27.63  | 
% 174.34/27.63  End of proof
% 174.34/27.63  
% 174.34/27.63  Sub-proof #824 shows that the following formulas are inconsistent:
% 174.34/27.63  ----------------------------------------------------------------
% 174.34/27.63    (1)  all_58_17 = e2 & all_58_19 = e3 & all_58_20 = e2 & all_58_28 = e3
% 174.34/27.63    (2)  all_58_17 = e0
% 174.34/27.63    (3)   ~ (e2 = e0)
% 174.34/27.63  
% 174.34/27.63  Begin of proof
% 174.34/27.63  | 
% 174.34/27.63  | ALPHA: (1) implies:
% 174.34/27.63  |   (4)  all_58_17 = e2
% 174.34/27.63  | 
% 174.34/27.63  | COMBINE_EQS: (2), (4) imply:
% 174.34/27.63  |   (5)  e2 = e0
% 174.34/27.63  | 
% 174.34/27.63  | REDUCE: (3), (5) imply:
% 174.34/27.63  |   (6)  $false
% 174.34/27.63  | 
% 174.34/27.63  | CLOSE: (6) is inconsistent.
% 174.34/27.63  | 
% 174.34/27.63  End of proof
% 174.34/27.63  
% 174.34/27.63  Sub-proof #825 shows that the following formulas are inconsistent:
% 174.34/27.63  ----------------------------------------------------------------
% 174.34/27.63    (1)  all_58_24 = e3
% 174.34/27.63    (2)  all_56_8 = all_10_2
% 174.34/27.63    (3)  all_56_8 = e1 | all_56_14 = e1
% 174.34/27.63    (4)  all_58_18 = e3
% 174.34/27.63    (5)   ~ (all_10_2 = e1)
% 174.34/27.63    (6)  all_58_18 = e1
% 174.34/27.63    (7)  all_56_14 = e1
% 174.34/27.63    (8)  all_58_24 = e0
% 174.34/27.63    (9)   ~ (e1 = e0)
% 174.34/27.63  
% 174.34/27.63  Begin of proof
% 174.34/27.63  | 
% 174.34/27.63  | COMBINE_EQS: (4), (6) imply:
% 174.34/27.63  |   (10)  e3 = e1
% 174.34/27.63  | 
% 174.34/27.63  | COMBINE_EQS: (1), (8) imply:
% 174.34/27.63  |   (11)  e3 = e0
% 174.34/27.63  | 
% 174.34/27.63  | COMBINE_EQS: (10), (11) imply:
% 174.34/27.63  |   (12)  e1 = e0
% 174.34/27.63  | 
% 174.34/27.63  | REF_CLOSE: (2), (3), (5), (7), (9), (12) are inconsistent by sub-proof #826.
% 174.34/27.63  | 
% 174.34/27.63  End of proof
% 174.34/27.63  
% 174.34/27.63  Sub-proof #826 shows that the following formulas are inconsistent:
% 174.34/27.63  ----------------------------------------------------------------
% 174.34/27.63    (1)  e1 = e0
% 174.34/27.63    (2)  all_56_8 = all_10_2
% 174.34/27.63    (3)  all_56_8 = e1 | all_56_14 = e1
% 174.34/27.63    (4)   ~ (all_10_2 = e1)
% 174.34/27.63    (5)  all_56_14 = e1
% 174.34/27.63    (6)   ~ (e1 = e0)
% 174.34/27.63  
% 174.34/27.63  Begin of proof
% 174.34/27.63  | 
% 174.34/27.63  | SIMP: (1) implies:
% 174.34/27.63  |   (7)  e1 = e0
% 174.34/27.63  | 
% 174.34/27.63  | COMBINE_EQS: (5), (7) imply:
% 174.34/27.63  |   (8)  all_56_14 = e0
% 174.34/27.63  | 
% 174.34/27.63  | REF_CLOSE: (2), (3), (4), (6), (8) are inconsistent by sub-proof #832.
% 174.34/27.63  | 
% 174.34/27.63  End of proof
% 174.34/27.63  
% 174.34/27.63  Sub-proof #827 shows that the following formulas are inconsistent:
% 174.34/27.63  ----------------------------------------------------------------
% 174.34/27.63    (1)  all_58_17 = e3 & all_58_19 = e0 & all_58_20 = e3 & all_58_28 = e0
% 174.34/27.63    (2)  all_58_19 = e3
% 174.34/27.63    (3)   ~ (e3 = e0)
% 174.34/27.63  
% 174.34/27.63  Begin of proof
% 174.34/27.63  | 
% 174.34/27.63  | ALPHA: (1) implies:
% 174.34/27.63  |   (4)  all_58_19 = e0
% 174.34/27.63  | 
% 174.34/27.63  | COMBINE_EQS: (2), (4) imply:
% 174.34/27.63  |   (5)  e3 = e0
% 174.34/27.63  | 
% 174.34/27.63  | REDUCE: (3), (5) imply:
% 174.34/27.63  |   (6)  $false
% 174.34/27.63  | 
% 174.34/27.63  | CLOSE: (6) is inconsistent.
% 174.34/27.63  | 
% 174.34/27.63  End of proof
% 174.34/27.63  
% 174.34/27.63  Sub-proof #828 shows that the following formulas are inconsistent:
% 174.34/27.63  ----------------------------------------------------------------
% 174.34/27.63    (1)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.34/27.63    (2)  all_58_18 = e0
% 174.34/27.63    (3)  all_58_17 = e3
% 174.34/27.63    (4)   ~ (e3 = e2)
% 174.34/27.63    (5)  all_58_16 = e2
% 174.34/27.63    (6)   ~ (e1 = e0)
% 174.34/27.63  
% 174.34/27.63  Begin of proof
% 174.34/27.63  | 
% 174.34/27.63  | BETA: splitting (1) gives:
% 174.34/27.63  | 
% 174.34/27.63  | Case 1:
% 174.34/27.63  | | 
% 174.34/27.63  | |   (7)  all_58_18 = e1
% 174.34/27.63  | | 
% 174.34/27.63  | | REF_CLOSE: (2), (6), (7) are inconsistent by sub-proof #888.
% 174.34/27.63  | | 
% 174.34/27.63  | Case 2:
% 174.34/27.63  | | 
% 174.34/27.63  | |   (8)  all_58_16 = e3 | all_58_17 = e2
% 174.34/27.63  | | 
% 174.34/27.63  | | BETA: splitting (8) gives:
% 174.34/27.63  | | 
% 174.34/27.63  | | Case 1:
% 174.34/27.63  | | | 
% 174.34/27.63  | | |   (9)  all_58_17 = e2
% 174.34/27.63  | | | 
% 174.34/27.63  | | | COMBINE_EQS: (3), (9) imply:
% 174.34/27.63  | | |   (10)  e3 = e2
% 174.34/27.63  | | | 
% 174.34/27.63  | | | REDUCE: (4), (10) imply:
% 174.34/27.63  | | |   (11)  $false
% 174.34/27.63  | | | 
% 174.34/27.63  | | | CLOSE: (11) is inconsistent.
% 174.34/27.63  | | | 
% 174.34/27.63  | | Case 2:
% 174.34/27.63  | | | 
% 174.34/27.63  | | |   (12)  all_58_16 = e3
% 174.34/27.63  | | | 
% 174.34/27.63  | | | REF_CLOSE: (4), (5), (12) are inconsistent by sub-proof #964.
% 174.34/27.63  | | | 
% 174.34/27.63  | | End of split
% 174.34/27.63  | | 
% 174.34/27.63  | End of split
% 174.34/27.63  | 
% 174.34/27.63  End of proof
% 174.34/27.63  
% 174.34/27.63  Sub-proof #829 shows that the following formulas are inconsistent:
% 174.34/27.63  ----------------------------------------------------------------
% 174.34/27.63    (1)  all_58_21 = all_4_2
% 174.34/27.63    (2)  all_58_21 = e2
% 174.34/27.63    (3)   ~ (all_4_2 = e2)
% 174.34/27.63  
% 174.34/27.63  Begin of proof
% 174.34/27.63  | 
% 174.34/27.63  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.63  |   (4)  all_4_2 = e2
% 174.34/27.63  | 
% 174.34/27.63  | SIMP: (4) implies:
% 174.34/27.63  |   (5)  all_4_2 = e2
% 174.34/27.63  | 
% 174.34/27.63  | REDUCE: (3), (5) imply:
% 174.34/27.63  |   (6)  $false
% 174.34/27.63  | 
% 174.34/27.63  | CLOSE: (6) is inconsistent.
% 174.34/27.63  | 
% 174.34/27.63  End of proof
% 174.34/27.63  
% 174.34/27.63  Sub-proof #830 shows that the following formulas are inconsistent:
% 174.34/27.63  ----------------------------------------------------------------
% 174.34/27.63    (1)  all_56_5 = e2
% 174.34/27.63    (2)  all_56_5 = e1
% 174.34/27.63    (3)   ~ (e2 = e1)
% 174.34/27.63  
% 174.34/27.63  Begin of proof
% 174.34/27.63  | 
% 174.34/27.63  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.63  |   (4)  e2 = e1
% 174.34/27.63  | 
% 174.34/27.63  | SIMP: (4) implies:
% 174.34/27.63  |   (5)  e2 = e1
% 174.34/27.63  | 
% 174.34/27.63  | REDUCE: (3), (5) imply:
% 174.34/27.63  |   (6)  $false
% 174.34/27.63  | 
% 174.34/27.63  | CLOSE: (6) is inconsistent.
% 174.34/27.63  | 
% 174.34/27.63  End of proof
% 174.34/27.63  
% 174.34/27.63  Sub-proof #831 shows that the following formulas are inconsistent:
% 174.34/27.63  ----------------------------------------------------------------
% 174.34/27.63    (1)  all_58_31 = all_14_2
% 174.34/27.63    (2)  all_58_31 = e0
% 174.34/27.63    (3)   ~ (all_14_2 = e0)
% 174.34/27.63  
% 174.34/27.63  Begin of proof
% 174.34/27.63  | 
% 174.34/27.63  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.63  |   (4)  all_14_2 = e0
% 174.34/27.63  | 
% 174.34/27.63  | SIMP: (4) implies:
% 174.34/27.63  |   (5)  all_14_2 = e0
% 174.34/27.63  | 
% 174.34/27.63  | REDUCE: (3), (5) imply:
% 174.34/27.63  |   (6)  $false
% 174.34/27.63  | 
% 174.34/27.63  | CLOSE: (6) is inconsistent.
% 174.34/27.63  | 
% 174.34/27.63  End of proof
% 174.34/27.63  
% 174.34/27.63  Sub-proof #832 shows that the following formulas are inconsistent:
% 174.34/27.63  ----------------------------------------------------------------
% 174.34/27.63    (1)  all_56_8 = all_10_2
% 174.34/27.63    (2)  all_56_14 = e0
% 174.34/27.63    (3)  all_56_8 = e1 | all_56_14 = e1
% 174.34/27.63    (4)   ~ (all_10_2 = e1)
% 174.34/27.63    (5)   ~ (e1 = e0)
% 174.34/27.63  
% 174.34/27.63  Begin of proof
% 174.34/27.63  | 
% 174.34/27.63  | BETA: splitting (3) gives:
% 174.34/27.63  | 
% 174.34/27.63  | Case 1:
% 174.34/27.63  | | 
% 174.34/27.63  | |   (6)  all_56_8 = e1
% 174.34/27.63  | | 
% 174.34/27.63  | | REF_CLOSE: (1), (4), (6) are inconsistent by sub-proof #833.
% 174.34/27.63  | | 
% 174.34/27.63  | Case 2:
% 174.34/27.63  | | 
% 174.34/27.63  | |   (7)  all_56_14 = e1
% 174.34/27.63  | | 
% 174.34/27.63  | | COMBINE_EQS: (2), (7) imply:
% 174.34/27.63  | |   (8)  e1 = e0
% 174.34/27.63  | | 
% 174.34/27.63  | | REDUCE: (5), (8) imply:
% 174.34/27.63  | |   (9)  $false
% 174.34/27.63  | | 
% 174.34/27.63  | | CLOSE: (9) is inconsistent.
% 174.34/27.63  | | 
% 174.34/27.63  | End of split
% 174.34/27.63  | 
% 174.34/27.63  End of proof
% 174.34/27.63  
% 174.34/27.63  Sub-proof #833 shows that the following formulas are inconsistent:
% 174.34/27.63  ----------------------------------------------------------------
% 174.34/27.63    (1)  all_56_8 = all_10_2
% 174.34/27.63    (2)  all_56_8 = e1
% 174.34/27.63    (3)   ~ (all_10_2 = e1)
% 174.34/27.63  
% 174.34/27.63  Begin of proof
% 174.34/27.63  | 
% 174.34/27.63  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.63  |   (4)  all_10_2 = e1
% 174.34/27.63  | 
% 174.34/27.63  | SIMP: (4) implies:
% 174.34/27.63  |   (5)  all_10_2 = e1
% 174.34/27.63  | 
% 174.34/27.63  | REDUCE: (3), (5) imply:
% 174.34/27.63  |   (6)  $false
% 174.34/27.63  | 
% 174.34/27.63  | CLOSE: (6) is inconsistent.
% 174.34/27.63  | 
% 174.34/27.63  End of proof
% 174.34/27.63  
% 174.34/27.63  Sub-proof #834 shows that the following formulas are inconsistent:
% 174.34/27.63  ----------------------------------------------------------------
% 174.34/27.63    (1)  all_56_4 = e1
% 174.34/27.63    (2)  all_56_4 = e0
% 174.34/27.63    (3)   ~ (e1 = e0)
% 174.34/27.63  
% 174.34/27.63  Begin of proof
% 174.34/27.63  | 
% 174.34/27.63  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.63  |   (4)  e1 = e0
% 174.34/27.63  | 
% 174.34/27.63  | SIMP: (4) implies:
% 174.34/27.63  |   (5)  e1 = e0
% 174.34/27.63  | 
% 174.34/27.63  | REDUCE: (3), (5) imply:
% 174.34/27.63  |   (6)  $false
% 174.34/27.63  | 
% 174.34/27.63  | CLOSE: (6) is inconsistent.
% 174.34/27.63  | 
% 174.34/27.63  End of proof
% 174.34/27.63  
% 174.34/27.63  Sub-proof #835 shows that the following formulas are inconsistent:
% 174.34/27.63  ----------------------------------------------------------------
% 174.34/27.63    (1)  all_56_9 = e3
% 174.34/27.63    (2)  all_56_9 = e2
% 174.34/27.63    (3)   ~ (e3 = e2)
% 174.34/27.63  
% 174.34/27.63  Begin of proof
% 174.34/27.63  | 
% 174.34/27.63  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.63  |   (4)  e3 = e2
% 174.34/27.63  | 
% 174.34/27.63  | SIMP: (4) implies:
% 174.34/27.63  |   (5)  e3 = e2
% 174.34/27.63  | 
% 174.34/27.63  | REDUCE: (3), (5) imply:
% 174.34/27.63  |   (6)  $false
% 174.34/27.63  | 
% 174.34/27.63  | CLOSE: (6) is inconsistent.
% 174.34/27.63  | 
% 174.34/27.63  End of proof
% 174.34/27.63  
% 174.34/27.63  Sub-proof #836 shows that the following formulas are inconsistent:
% 174.34/27.63  ----------------------------------------------------------------
% 174.34/27.63    (1)   ~ (e3 = e1)
% 174.34/27.63    (2)   ~ (all_14_1 = e1)
% 174.34/27.63    (3)  all_56_15 = all_14_2
% 174.34/27.63    (4)   ~ (all_14_2 = e0)
% 174.34/27.63    (5)  all_58_28 = e1
% 174.34/27.63    (6)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.34/27.63    (7)  all_58_30 = e0
% 174.34/27.63    (8)  all_58_31 = all_14_2
% 174.34/27.63    (9)   ~ (e3 = e2)
% 174.34/27.63    (10)  all_56_9 = e3 | all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 174.34/27.63    (11)   ~ (e3 = e0)
% 174.34/27.63    (12)  all_58_29 = all_52_13
% 174.34/27.63    (13)  all_56_11 = e0
% 174.34/27.63    (14)  op(e3, e0) = e1
% 174.34/27.63    (15)  op(all_14_2, e0) = all_14_1
% 174.34/27.63    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.34/27.63            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.34/27.63    (17)  all_56_10 = all_52_13
% 174.34/27.63    (18)  all_56_9 = e1
% 174.34/27.63    (19)   ~ (e1 = e0)
% 174.34/27.63  
% 174.34/27.63  Begin of proof
% 174.34/27.63  | 
% 174.34/27.63  | BETA: splitting (6) gives:
% 174.34/27.63  | 
% 174.34/27.63  | Case 1:
% 174.34/27.63  | | 
% 174.34/27.63  | |   (20)  all_58_31 = e0
% 174.34/27.63  | | 
% 174.34/27.63  | | COMBINE_EQS: (8), (20) imply:
% 174.34/27.63  | |   (21)  all_14_2 = e0
% 174.34/27.63  | | 
% 174.34/27.63  | | REDUCE: (4), (21) imply:
% 174.34/27.63  | |   (22)  $false
% 174.34/27.63  | | 
% 174.34/27.63  | | CLOSE: (22) is inconsistent.
% 174.34/27.63  | | 
% 174.34/27.63  | Case 2:
% 174.34/27.63  | | 
% 174.34/27.63  | |   (23)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.34/27.63  | | 
% 174.34/27.63  | | BETA: splitting (23) gives:
% 174.34/27.63  | | 
% 174.34/27.63  | | Case 1:
% 174.34/27.63  | | | 
% 174.34/27.63  | | |   (24)  all_58_30 = e1
% 174.34/27.63  | | | 
% 174.34/27.63  | | | REF_CLOSE: (7), (19), (24) are inconsistent by sub-proof #838.
% 174.34/27.63  | | | 
% 174.34/27.63  | | Case 2:
% 174.34/27.63  | | | 
% 174.34/27.63  | | |   (25)  all_58_28 = e3 | all_58_29 = e2
% 174.34/27.63  | | | 
% 174.34/27.63  | | | BETA: splitting (25) gives:
% 174.34/27.63  | | | 
% 174.34/27.63  | | | Case 1:
% 174.34/27.63  | | | | 
% 174.34/27.63  | | | |   (26)  all_58_29 = e2
% 174.34/27.63  | | | | 
% 174.34/27.63  | | | | COMBINE_EQS: (12), (26) imply:
% 174.34/27.63  | | | |   (27)  all_52_13 = e2
% 174.34/27.63  | | | | 
% 174.34/27.63  | | | | COMBINE_EQS: (17), (27) imply:
% 174.34/27.63  | | | |   (28)  all_56_10 = e2
% 174.34/27.63  | | | | 
% 174.34/27.63  | | | | BETA: splitting (10) gives:
% 174.34/27.63  | | | | 
% 174.34/27.63  | | | | Case 1:
% 174.34/27.63  | | | | | 
% 174.34/27.63  | | | | |   (29)  all_56_9 = e3
% 174.34/27.63  | | | | | 
% 174.34/27.63  | | | | | COMBINE_EQS: (18), (29) imply:
% 174.34/27.63  | | | | |   (30)  e3 = e1
% 174.34/27.63  | | | | | 
% 174.34/27.63  | | | | | REDUCE: (1), (30) imply:
% 174.34/27.63  | | | | |   (31)  $false
% 174.34/27.63  | | | | | 
% 174.34/27.63  | | | | | CLOSE: (31) is inconsistent.
% 174.34/27.63  | | | | | 
% 174.34/27.63  | | | | Case 2:
% 174.34/27.63  | | | | | 
% 174.34/27.63  | | | | |   (32)  all_56_10 = e3 | all_56_11 = e3 | all_56_15 = e3
% 174.34/27.63  | | | | | 
% 174.34/27.63  | | | | | BETA: splitting (32) gives:
% 174.34/27.63  | | | | | 
% 174.34/27.63  | | | | | Case 1:
% 174.34/27.63  | | | | | | 
% 174.34/27.63  | | | | | |   (33)  all_56_10 = e3
% 174.34/27.63  | | | | | | 
% 174.34/27.63  | | | | | | COMBINE_EQS: (28), (33) imply:
% 174.34/27.63  | | | | | |   (34)  e3 = e2
% 174.34/27.63  | | | | | | 
% 174.34/27.63  | | | | | | REDUCE: (9), (34) imply:
% 174.34/27.63  | | | | | |   (35)  $false
% 174.34/27.63  | | | | | | 
% 174.34/27.63  | | | | | | CLOSE: (35) is inconsistent.
% 174.34/27.63  | | | | | | 
% 174.34/27.63  | | | | | Case 2:
% 174.34/27.63  | | | | | | 
% 174.34/27.63  | | | | | |   (36)  all_56_11 = e3 | all_56_15 = e3
% 174.34/27.63  | | | | | | 
% 174.34/27.63  | | | | | | BETA: splitting (36) gives:
% 174.34/27.63  | | | | | | 
% 174.34/27.63  | | | | | | Case 1:
% 174.34/27.63  | | | | | | | 
% 174.34/27.63  | | | | | | |   (37)  all_56_11 = e3
% 174.34/27.63  | | | | | | | 
% 174.34/27.63  | | | | | | | COMBINE_EQS: (13), (37) imply:
% 174.34/27.63  | | | | | | |   (38)  e3 = e0
% 174.34/27.63  | | | | | | | 
% 174.34/27.63  | | | | | | | REDUCE: (11), (38) imply:
% 174.34/27.63  | | | | | | |   (39)  $false
% 174.34/27.63  | | | | | | | 
% 174.34/27.63  | | | | | | | CLOSE: (39) is inconsistent.
% 174.34/27.63  | | | | | | | 
% 174.34/27.63  | | | | | | Case 2:
% 174.34/27.63  | | | | | | | 
% 174.34/27.63  | | | | | | |   (40)  all_56_15 = e3
% 174.34/27.63  | | | | | | | 
% 174.34/27.63  | | | | | | | COMBINE_EQS: (3), (40) imply:
% 174.34/27.63  | | | | | | |   (41)  all_14_2 = e3
% 174.34/27.63  | | | | | | | 
% 174.34/27.63  | | | | | | | SIMP: (41) implies:
% 174.34/27.63  | | | | | | |   (42)  all_14_2 = e3
% 174.34/27.63  | | | | | | | 
% 174.34/27.63  | | | | | | | REDUCE: (15), (42) imply:
% 174.34/27.63  | | | | | | |   (43)  op(e3, e0) = all_14_1
% 174.34/27.63  | | | | | | | 
% 174.34/27.63  | | | | | | | GROUND_INST: instantiating (16) with e1, all_14_1, e0, e3,
% 174.34/27.63  | | | | | | |              simplifying with (14), (43) gives:
% 174.34/27.63  | | | | | | |   (44)  all_14_1 = e1
% 174.34/27.63  | | | | | | | 
% 174.34/27.63  | | | | | | | REDUCE: (2), (44) imply:
% 174.34/27.63  | | | | | | |   (45)  $false
% 174.34/27.63  | | | | | | | 
% 174.34/27.63  | | | | | | | CLOSE: (45) is inconsistent.
% 174.34/27.63  | | | | | | | 
% 174.34/27.63  | | | | | | End of split
% 174.34/27.63  | | | | | | 
% 174.34/27.63  | | | | | End of split
% 174.34/27.63  | | | | | 
% 174.34/27.63  | | | | End of split
% 174.34/27.63  | | | | 
% 174.34/27.63  | | | Case 2:
% 174.34/27.63  | | | | 
% 174.34/27.63  | | | |   (46)  all_58_28 = e3
% 174.34/27.63  | | | | 
% 174.34/27.63  | | | | REF_CLOSE: (1), (5), (46) are inconsistent by sub-proof #837.
% 174.34/27.63  | | | | 
% 174.34/27.63  | | | End of split
% 174.34/27.63  | | | 
% 174.34/27.63  | | End of split
% 174.34/27.63  | | 
% 174.34/27.63  | End of split
% 174.34/27.63  | 
% 174.34/27.63  End of proof
% 174.34/27.63  
% 174.34/27.63  Sub-proof #837 shows that the following formulas are inconsistent:
% 174.34/27.63  ----------------------------------------------------------------
% 174.34/27.63    (1)  all_58_28 = e3
% 174.34/27.63    (2)  all_58_28 = e1
% 174.34/27.63    (3)   ~ (e3 = e1)
% 174.34/27.63  
% 174.34/27.63  Begin of proof
% 174.34/27.63  | 
% 174.34/27.63  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.63  |   (4)  e3 = e1
% 174.34/27.63  | 
% 174.34/27.63  | SIMP: (4) implies:
% 174.34/27.63  |   (5)  e3 = e1
% 174.34/27.63  | 
% 174.34/27.63  | REDUCE: (3), (5) imply:
% 174.34/27.63  |   (6)  $false
% 174.34/27.63  | 
% 174.34/27.63  | CLOSE: (6) is inconsistent.
% 174.34/27.63  | 
% 174.34/27.63  End of proof
% 174.34/27.63  
% 174.34/27.63  Sub-proof #838 shows that the following formulas are inconsistent:
% 174.34/27.63  ----------------------------------------------------------------
% 174.34/27.63    (1)  all_58_30 = e1
% 174.34/27.63    (2)  all_58_30 = e0
% 174.34/27.63    (3)   ~ (e1 = e0)
% 174.34/27.63  
% 174.34/27.63  Begin of proof
% 174.34/27.63  | 
% 174.34/27.63  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.63  |   (4)  e1 = e0
% 174.34/27.63  | 
% 174.34/27.63  | SIMP: (4) implies:
% 174.34/27.63  |   (5)  e1 = e0
% 174.34/27.63  | 
% 174.34/27.63  | REDUCE: (3), (5) imply:
% 174.34/27.63  |   (6)  $false
% 174.34/27.63  | 
% 174.34/27.63  | CLOSE: (6) is inconsistent.
% 174.34/27.63  | 
% 174.34/27.63  End of proof
% 174.34/27.63  
% 174.34/27.63  Sub-proof #839 shows that the following formulas are inconsistent:
% 174.34/27.63  ----------------------------------------------------------------
% 174.34/27.63    (1)  all_54_8 = all_52_2
% 174.34/27.63    (2)  all_54_8 = e0
% 174.34/27.63    (3)   ~ (all_52_2 = e0)
% 174.34/27.63  
% 174.34/27.63  Begin of proof
% 174.34/27.63  | 
% 174.34/27.63  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.63  |   (4)  all_52_2 = e0
% 174.34/27.63  | 
% 174.34/27.63  | SIMP: (4) implies:
% 174.34/27.63  |   (5)  all_52_2 = e0
% 174.34/27.63  | 
% 174.34/27.63  | REDUCE: (3), (5) imply:
% 174.34/27.63  |   (6)  $false
% 174.34/27.63  | 
% 174.34/27.63  | CLOSE: (6) is inconsistent.
% 174.34/27.63  | 
% 174.34/27.63  End of proof
% 174.34/27.63  
% 174.34/27.63  Sub-proof #840 shows that the following formulas are inconsistent:
% 174.34/27.63  ----------------------------------------------------------------
% 174.34/27.63    (1)   ~ (all_52_12 = all_14_2)
% 174.34/27.63    (2)  all_56_1 = all_52_4
% 174.34/27.63    (3)  all_56_12 = all_52_3
% 174.34/27.63    (4)   ~ (all_10_2 = e0)
% 174.34/27.63    (5)   ~ (all_52_8 = all_52_12)
% 174.34/27.63    (6)   ~ (all_52_3 = all_14_2)
% 174.34/27.63    (7)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.34/27.63    (8)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 174.34/27.63    (9)  all_56_5 = all_52_9
% 174.34/27.63    (10)  op(all_6_2, e3) = all_6_1
% 174.34/27.63    (11)   ~ (all_52_12 = all_6_2)
% 174.34/27.63    (12)   ~ (all_14_2 = e1)
% 174.34/27.63    (13)  all_56_15 = all_14_2
% 174.34/27.63    (14)  op(e3, all_52_4) = all_58_1
% 174.34/27.63    (15)  all_54_1 = all_52_4
% 174.34/27.63    (16)  op(all_10_2, e1) = all_10_1
% 174.34/27.63    (17)   ~ (all_52_3 = all_52_7)
% 174.34/27.63    (18)  all_56_14 = all_52_11
% 174.34/27.63    (19)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 174.34/27.63    (20)  all_56_8 = all_10_2
% 174.34/27.63    (21)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.34/27.63    (22)  all_58_26 = all_10_2
% 174.34/27.63    (23)   ~ (all_52_4 = all_52_6)
% 174.34/27.63    (24)  all_58_31 = all_14_2
% 174.34/27.63    (25)   ~ (all_52_11 = all_10_2)
% 174.34/27.63    (26)   ~ (all_52_9 = all_52_13)
% 174.34/27.63    (27)   ~ (all_52_3 = all_6_2)
% 174.34/27.63    (28)  all_58_18 = e0
% 174.34/27.63    (29)   ~ (all_52_1 = all_6_2)
% 174.34/27.63    (30)  all_56_11 = all_52_14
% 174.34/27.63    (31)   ~ (all_52_6 = all_52_7)
% 174.34/27.63    (32)  all_56_0 = all_6_2
% 174.34/27.63    (33)   ~ (all_52_9 = all_10_2)
% 174.34/27.63    (34)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.34/27.63    (35)  all_58_30 = all_52_14
% 174.34/27.63    (36)  all_58_27 = all_52_11
% 174.34/27.63    (37)  all_58_17 = all_52_1
% 174.34/27.63    (38)  op(e3, e1) = all_52_8
% 174.34/27.63    (39)  all_58_19 = all_52_3
% 174.34/27.63    (40)  all_56_9 = all_52_12
% 174.34/27.63    (41)   ~ (e3 = e2)
% 174.34/27.63    (42)   ~ (all_52_4 = all_52_7)
% 174.34/27.63    (43)   ~ (e2 = e1)
% 174.34/27.63    (44)   ~ (all_52_6 = all_10_2)
% 174.34/27.63    (45)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.34/27.63    (46)   ~ (all_52_13 = all_14_2)
% 174.34/27.63    (47)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 174.34/27.63    (48)  all_54_9 = all_52_6
% 174.34/27.63    (49)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.34/27.63    (50)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.34/27.63    (51)  all_58_16 = all_6_2
% 174.34/27.63    (52)  all_56_13 = all_52_7
% 174.34/27.63    (53)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 174.34/27.63    (54)   ~ (all_52_8 = all_52_9)
% 174.34/27.63    (55)   ~ (all_52_4 = all_6_2)
% 174.34/27.63    (56)   ~ (e3 = e0)
% 174.34/27.63    (57)  all_58_29 = all_52_13
% 174.34/27.63    (58)   ~ (all_4_2 = e0)
% 174.34/27.63    (59)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 174.34/27.63    (60)   ~ (all_6_2 = e0)
% 174.34/27.63    (61)   ~ (all_52_6 = all_52_14)
% 174.34/27.63    (62)   ~ (all_52_8 = all_10_2)
% 174.34/27.63    (63)  all_56_4 = all_52_8
% 174.34/27.63    (64)   ~ (all_52_1 = all_52_13)
% 174.34/27.63    (65)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 174.34/27.63    (66)  all_54_10 = all_10_2
% 174.34/27.63    (67)   ~ (all_52_7 = all_52_11)
% 174.34/27.63    (68)   ~ (all_52_8 = all_52_11)
% 174.34/27.63    (69)   ~ (all_52_8 = all_6_2)
% 174.34/27.63    (70)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 174.34/27.63    (71)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 174.34/27.63    (72)   ~ (all_52_1 = all_52_9)
% 174.34/27.63    (73)  all_56_6 = e0
% 174.34/27.63    (74)  all_58_24 = all_52_8
% 174.34/27.63    (75)   ~ (all_52_9 = all_52_11)
% 174.34/27.63    (76)  all_56_3 = all_4_2
% 174.34/27.63    (77)  all_54_0 = all_6_2
% 174.34/27.63    (78)   ~ (all_52_14 = all_10_2)
% 174.34/27.63    (79)   ~ (all_52_4 = all_52_8)
% 174.34/27.63    (80)  all_58_25 = all_52_9
% 174.34/27.63    (81)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 174.34/27.63    (82)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.34/27.63            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.34/27.63    (83)   ~ (all_6_1 = e0)
% 174.34/27.63    (84)   ~ (all_52_6 = e0)
% 174.34/27.63    (85)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 174.34/27.63    (86)  all_56_10 = all_52_13
% 174.34/27.63    (87)   ~ (e2 = e0)
% 174.34/27.63    (88)   ~ (all_52_1 = all_52_3)
% 174.34/27.63    (89)   ~ (all_52_14 = e0)
% 174.34/27.63    (90)  all_58_28 = all_52_12
% 174.34/27.63    (91)  op(e1, all_52_6) = all_58_9
% 174.34/27.63    (92)   ~ (e1 = e0)
% 174.34/27.63    (93)  all_54_4 = all_52_1
% 174.34/27.63    (94)  all_56_7 = all_52_6
% 174.34/27.63    (95)  op(e1, e3) = e0
% 174.34/27.63    (96)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 174.34/27.63    (97)   ~ (all_10_1 = e0)
% 174.34/27.63  
% 174.34/27.63  Begin of proof
% 174.34/27.63  | 
% 174.34/27.63  | BETA: splitting (8) gives:
% 174.34/27.63  | 
% 174.34/27.63  | Case 1:
% 174.34/27.63  | | 
% 174.34/27.63  | |   (98)  all_56_3 = e0
% 174.34/27.63  | | 
% 174.34/27.63  | | COMBINE_EQS: (76), (98) imply:
% 174.34/27.63  | |   (99)  all_4_2 = e0
% 174.34/27.63  | | 
% 174.34/27.63  | | REDUCE: (58), (99) imply:
% 174.34/27.63  | |   (100)  $false
% 174.34/27.63  | | 
% 174.34/27.63  | | CLOSE: (100) is inconsistent.
% 174.34/27.63  | | 
% 174.34/27.63  | Case 2:
% 174.34/27.63  | | 
% 174.34/27.63  | |   (101)  all_56_7 = e0 | all_56_13 = e0
% 174.34/27.63  | | 
% 174.34/27.63  | | BETA: splitting (101) gives:
% 174.34/27.63  | | 
% 174.34/27.63  | | Case 1:
% 174.34/27.63  | | | 
% 174.34/27.63  | | |   (102)  all_56_7 = e0
% 174.34/27.63  | | | 
% 174.34/27.63  | | | COMBINE_EQS: (94), (102) imply:
% 174.34/27.63  | | |   (103)  all_52_6 = e0
% 174.34/27.63  | | | 
% 174.34/27.63  | | | REDUCE: (84), (103) imply:
% 174.34/27.63  | | |   (104)  $false
% 174.34/27.63  | | | 
% 174.34/27.63  | | | CLOSE: (104) is inconsistent.
% 174.34/27.63  | | | 
% 174.34/27.63  | | Case 2:
% 174.34/27.63  | | | 
% 174.34/27.63  | | |   (105)  all_56_13 = e0
% 174.34/27.63  | | | 
% 174.34/27.63  | | | COMBINE_EQS: (52), (105) imply:
% 174.34/27.63  | | |   (106)  all_52_7 = e0
% 174.34/27.63  | | | 
% 174.34/27.63  | | | SIMP: (106) implies:
% 174.34/27.63  | | |   (107)  all_52_7 = e0
% 174.34/27.63  | | | 
% 174.34/27.63  | | | REDUCE: (17), (107) imply:
% 174.34/27.63  | | |   (108)   ~ (all_52_3 = e0)
% 174.34/27.63  | | | 
% 174.34/27.63  | | | REDUCE: (42), (107) imply:
% 174.34/27.63  | | |   (109)   ~ (all_52_4 = e0)
% 174.34/27.63  | | | 
% 174.34/27.63  | | | REDUCE: (67), (107) imply:
% 174.34/27.63  | | |   (110)   ~ (all_52_11 = e0)
% 174.34/27.63  | | | 
% 174.34/27.63  | | | SIMP: (110) implies:
% 174.34/27.63  | | |   (111)   ~ (all_52_11 = e0)
% 174.34/27.63  | | | 
% 174.34/27.63  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13),
% 174.34/27.63  | | |            (14), (15), (16), (18), (19), (20), (21), (22), (23), (24),
% 174.34/27.63  | | |            (25), (26), (27), (28), (29), (30), (32), (33), (34), (35),
% 174.34/27.63  | | |            (36), (37), (38), (39), (40), (41), (43), (44), (45), (46),
% 174.34/27.63  | | |            (47), (48), (49), (50), (51), (53), (54), (55), (56), (57),
% 174.34/27.63  | | |            (59), (60), (61), (62), (63), (64), (65), (66), (68), (69),
% 174.34/27.63  | | |            (70), (71), (72), (73), (74), (75), (77), (78), (79), (80),
% 174.34/27.63  | | |            (81), (82), (83), (84), (85), (86), (87), (88), (89), (90),
% 174.34/27.63  | | |            (91), (92), (93), (94), (95), (96), (97), (105), (108), (109),
% 174.34/27.63  | | |            (111) are inconsistent by sub-proof #841.
% 174.34/27.63  | | | 
% 174.34/27.63  | | End of split
% 174.34/27.63  | | 
% 174.34/27.63  | End of split
% 174.34/27.63  | 
% 174.34/27.63  End of proof
% 174.34/27.63  
% 174.34/27.63  Sub-proof #841 shows that the following formulas are inconsistent:
% 174.34/27.63  ----------------------------------------------------------------
% 174.34/27.63    (1)   ~ (all_52_12 = all_14_2)
% 174.34/27.63    (2)  all_56_1 = all_52_4
% 174.34/27.63    (3)  all_56_12 = all_52_3
% 174.34/27.63    (4)   ~ (all_10_2 = e0)
% 174.34/27.63    (5)   ~ (all_52_8 = all_52_12)
% 174.34/27.63    (6)   ~ (all_52_3 = all_14_2)
% 174.34/27.63    (7)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.34/27.63    (8)  all_56_5 = all_52_9
% 174.34/27.63    (9)  op(all_6_2, e3) = all_6_1
% 174.34/27.63    (10)   ~ (all_52_12 = all_6_2)
% 174.34/27.63    (11)   ~ (all_14_2 = e1)
% 174.34/27.63    (12)  all_56_15 = all_14_2
% 174.34/27.63    (13)  op(e3, all_52_4) = all_58_1
% 174.34/27.63    (14)  all_54_1 = all_52_4
% 174.34/27.63    (15)  op(all_10_2, e1) = all_10_1
% 174.34/27.63    (16)  all_56_14 = all_52_11
% 174.34/27.63    (17)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 174.34/27.63    (18)  all_56_8 = all_10_2
% 174.34/27.63    (19)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.34/27.63    (20)  all_58_26 = all_10_2
% 174.34/27.63    (21)   ~ (all_52_4 = all_52_6)
% 174.34/27.63    (22)  all_58_31 = all_14_2
% 174.34/27.63    (23)   ~ (all_52_11 = all_10_2)
% 174.34/27.63    (24)   ~ (all_52_9 = all_52_13)
% 174.34/27.63    (25)   ~ (all_52_3 = all_6_2)
% 174.34/27.63    (26)   ~ (all_52_4 = e0)
% 174.34/27.63    (27)  all_58_18 = e0
% 174.34/27.63    (28)   ~ (all_52_1 = all_6_2)
% 174.34/27.63    (29)  all_56_11 = all_52_14
% 174.34/27.63    (30)  all_56_0 = all_6_2
% 174.34/27.63    (31)   ~ (all_52_9 = all_10_2)
% 174.34/27.63    (32)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.34/27.63    (33)  all_58_30 = all_52_14
% 174.34/27.63    (34)  all_58_27 = all_52_11
% 174.34/27.63    (35)  all_58_17 = all_52_1
% 174.34/27.63    (36)  op(e3, e1) = all_52_8
% 174.34/27.63    (37)  all_58_19 = all_52_3
% 174.34/27.63    (38)  all_56_9 = all_52_12
% 174.34/27.63    (39)   ~ (e3 = e2)
% 174.34/27.63    (40)   ~ (e2 = e1)
% 174.34/27.63    (41)   ~ (all_52_6 = all_10_2)
% 174.34/27.63    (42)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.34/27.63    (43)   ~ (all_52_13 = all_14_2)
% 174.34/27.63    (44)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 174.34/27.63    (45)  all_54_9 = all_52_6
% 174.34/27.63    (46)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.34/27.63    (47)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.34/27.63    (48)  all_58_16 = all_6_2
% 174.34/27.63    (49)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 174.34/27.63    (50)   ~ (all_52_8 = all_52_9)
% 174.34/27.63    (51)   ~ (all_52_4 = all_6_2)
% 174.34/27.63    (52)   ~ (e3 = e0)
% 174.34/27.63    (53)  all_58_29 = all_52_13
% 174.34/27.63    (54)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 174.34/27.63    (55)   ~ (all_6_2 = e0)
% 174.34/27.63    (56)   ~ (all_52_6 = all_52_14)
% 174.34/27.63    (57)   ~ (all_52_8 = all_10_2)
% 174.34/27.63    (58)  all_56_4 = all_52_8
% 174.34/27.63    (59)   ~ (all_52_1 = all_52_13)
% 174.34/27.63    (60)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 174.34/27.63    (61)  all_54_10 = all_10_2
% 174.34/27.63    (62)   ~ (all_52_8 = all_52_11)
% 174.34/27.63    (63)   ~ (all_52_8 = all_6_2)
% 174.34/27.63    (64)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 174.34/27.64    (65)  all_56_0 = e0 | all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 174.34/27.64    (66)   ~ (all_52_1 = all_52_9)
% 174.34/27.64    (67)  all_56_6 = e0
% 174.34/27.64    (68)  all_56_13 = e0
% 174.34/27.64    (69)  all_58_24 = all_52_8
% 174.34/27.64    (70)   ~ (all_52_9 = all_52_11)
% 174.34/27.64    (71)  all_54_0 = all_6_2
% 174.34/27.64    (72)   ~ (all_52_14 = all_10_2)
% 174.34/27.64    (73)   ~ (all_52_11 = e0)
% 174.34/27.64    (74)   ~ (all_52_4 = all_52_8)
% 174.34/27.64    (75)  all_58_25 = all_52_9
% 174.34/27.64    (76)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 174.34/27.64    (77)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.34/27.64            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.34/27.64    (78)   ~ (all_6_1 = e0)
% 174.34/27.64    (79)   ~ (all_52_6 = e0)
% 174.34/27.64    (80)  all_56_9 = e0 | all_56_10 = e0 | all_56_11 = e0
% 174.34/27.64    (81)  all_56_10 = all_52_13
% 174.34/27.64    (82)   ~ (all_52_3 = e0)
% 174.34/27.64    (83)   ~ (e2 = e0)
% 174.34/27.64    (84)   ~ (all_52_1 = all_52_3)
% 174.34/27.64    (85)   ~ (all_52_14 = e0)
% 174.34/27.64    (86)  all_58_28 = all_52_12
% 174.34/27.64    (87)  op(e1, all_52_6) = all_58_9
% 174.34/27.64    (88)   ~ (e1 = e0)
% 174.34/27.64    (89)  all_54_4 = all_52_1
% 174.34/27.64    (90)  all_56_7 = all_52_6
% 174.34/27.64    (91)  op(e1, e3) = e0
% 174.34/27.64    (92)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 174.34/27.64    (93)   ~ (all_10_1 = e0)
% 174.34/27.64  
% 174.34/27.64  Begin of proof
% 174.34/27.64  | 
% 174.34/27.64  | BETA: splitting (65) gives:
% 174.34/27.64  | 
% 174.34/27.64  | Case 1:
% 174.34/27.64  | | 
% 174.34/27.64  | |   (94)  all_56_0 = e0
% 174.34/27.64  | | 
% 174.34/27.64  | | COMBINE_EQS: (30), (94) imply:
% 174.34/27.64  | |   (95)  all_6_2 = e0
% 174.34/27.64  | | 
% 174.34/27.64  | | REDUCE: (55), (95) imply:
% 174.34/27.64  | |   (96)  $false
% 174.34/27.64  | | 
% 174.34/27.64  | | CLOSE: (96) is inconsistent.
% 174.34/27.64  | | 
% 174.34/27.64  | Case 2:
% 174.34/27.64  | | 
% 174.34/27.64  | |   (97)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 174.34/27.64  | | 
% 174.34/27.64  | | BETA: splitting (49) gives:
% 174.34/27.64  | | 
% 174.34/27.64  | | Case 1:
% 174.34/27.64  | | | 
% 174.34/27.64  | | |   (98)  all_56_4 = e0
% 174.34/27.64  | | | 
% 174.34/27.64  | | | COMBINE_EQS: (58), (98) imply:
% 174.34/27.64  | | |   (99)  all_52_8 = e0
% 174.34/27.64  | | | 
% 174.34/27.64  | | | COMBINE_EQS: (69), (99) imply:
% 174.34/27.64  | | |   (100)  all_58_24 = e0
% 174.34/27.64  | | | 
% 174.34/27.64  | | | REDUCE: (62), (99) imply:
% 174.34/27.64  | | |   (101)   ~ (all_52_11 = e0)
% 174.34/27.64  | | | 
% 174.34/27.64  | | | REDUCE: (5), (99) imply:
% 174.34/27.64  | | |   (102)   ~ (all_52_12 = e0)
% 174.34/27.64  | | | 
% 174.34/27.64  | | | SIMP: (102) implies:
% 174.34/27.64  | | |   (103)   ~ (all_52_12 = e0)
% 174.34/27.64  | | | 
% 174.34/27.64  | | | REDUCE: (63), (99) imply:
% 174.34/27.64  | | |   (104)   ~ (all_6_2 = e0)
% 174.34/27.64  | | | 
% 174.34/27.64  | | | REDUCE: (36), (99) imply:
% 174.34/27.64  | | |   (105)  op(e3, e1) = e0
% 174.34/27.64  | | | 
% 174.34/27.64  | | | BETA: splitting (80) gives:
% 174.34/27.64  | | | 
% 174.34/27.64  | | | Case 1:
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | |   (106)  all_56_9 = e0
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | | REF_CLOSE: (38), (103), (106) are inconsistent by sub-proof #908.
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | Case 2:
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | |   (107)  all_56_10 = e0 | all_56_11 = e0
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | | BETA: splitting (107) gives:
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | | Case 1:
% 174.34/27.64  | | | | | 
% 174.34/27.64  | | | | |   (108)  all_56_10 = e0
% 174.34/27.64  | | | | | 
% 174.34/27.64  | | | | | COMBINE_EQS: (81), (108) imply:
% 174.34/27.64  | | | | |   (109)  all_52_13 = e0
% 174.34/27.64  | | | | | 
% 174.34/27.64  | | | | | SIMP: (109) implies:
% 174.34/27.64  | | | | |   (110)  all_52_13 = e0
% 174.34/27.64  | | | | | 
% 174.34/27.64  | | | | | COMBINE_EQS: (53), (110) imply:
% 174.34/27.64  | | | | |   (111)  all_58_29 = e0
% 174.34/27.64  | | | | | 
% 174.34/27.64  | | | | | REDUCE: (59), (110) imply:
% 174.34/27.64  | | | | |   (112)   ~ (all_52_1 = e0)
% 174.34/27.64  | | | | | 
% 174.34/27.64  | | | | | REDUCE: (24), (110) imply:
% 174.34/27.64  | | | | |   (113)   ~ (all_52_9 = e0)
% 174.34/27.64  | | | | | 
% 174.34/27.64  | | | | | REDUCE: (43), (110) imply:
% 174.34/27.64  | | | | |   (114)   ~ (all_14_2 = e0)
% 174.34/27.64  | | | | | 
% 174.34/27.64  | | | | | SIMP: (114) implies:
% 174.34/27.64  | | | | |   (115)   ~ (all_14_2 = e0)
% 174.34/27.64  | | | | | 
% 174.34/27.64  | | | | | BETA: splitting (76) gives:
% 174.34/27.64  | | | | | 
% 174.34/27.64  | | | | | Case 1:
% 174.34/27.64  | | | | | | 
% 174.34/27.64  | | | | | |   (116)  all_54_9 = e0
% 174.34/27.64  | | | | | | 
% 174.34/27.64  | | | | | | REF_CLOSE: (45), (79), (116) are inconsistent by sub-proof #903.
% 174.34/27.64  | | | | | | 
% 174.34/27.64  | | | | | Case 2:
% 174.34/27.64  | | | | | | 
% 174.34/27.64  | | | | | |   (117)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 174.34/27.64  | | | | | | 
% 174.34/27.64  | | | | | | BETA: splitting (64) gives:
% 174.34/27.64  | | | | | | 
% 174.34/27.64  | | | | | | Case 1:
% 174.34/27.64  | | | | | | | 
% 174.34/27.64  | | | | | | |   (118)  all_54_4 = e0
% 174.34/27.64  | | | | | | | 
% 174.34/27.64  | | | | | | | REF_CLOSE: (89), (112), (118) are inconsistent by sub-proof #902.
% 174.34/27.64  | | | | | | | 
% 174.34/27.64  | | | | | | Case 2:
% 174.34/27.64  | | | | | | | 
% 174.34/27.64  | | | | | | |   (119)   ~ (all_54_4 = e0)
% 174.34/27.64  | | | | | | |   (120)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 174.34/27.64  | | | | | | | 
% 174.34/27.64  | | | | | | | BETA: splitting (92) gives:
% 174.34/27.64  | | | | | | | 
% 174.34/27.64  | | | | | | | Case 1:
% 174.34/27.64  | | | | | | | | 
% 174.34/27.64  | | | | | | | |   (121)  all_56_12 = e1
% 174.34/27.64  | | | | | | | | 
% 174.34/27.64  | | | | | | | | COMBINE_EQS: (3), (121) imply:
% 174.34/27.64  | | | | | | | |   (122)  all_52_3 = e1
% 174.34/27.64  | | | | | | | | 
% 174.34/27.64  | | | | | | | | SIMP: (122) implies:
% 174.34/27.64  | | | | | | | |   (123)  all_52_3 = e1
% 174.34/27.64  | | | | | | | | 
% 174.34/27.64  | | | | | | | | REDUCE: (84), (123) imply:
% 174.34/27.64  | | | | | | | |   (124)   ~ (all_52_1 = e1)
% 174.34/27.64  | | | | | | | | 
% 174.34/27.64  | | | | | | | | REDUCE: (25), (123) imply:
% 174.34/27.64  | | | | | | | |   (125)   ~ (all_6_2 = e1)
% 174.34/27.64  | | | | | | | | 
% 174.34/27.64  | | | | | | | | SIMP: (125) implies:
% 174.34/27.64  | | | | | | | |   (126)   ~ (all_6_2 = e1)
% 174.34/27.64  | | | | | | | | 
% 174.34/27.64  | | | | | | | | REF_CLOSE: (7), (10), (19), (20), (22), (27), (28), (30), (32),
% 174.34/27.64  | | | | | | | |            (33), (34), (35), (37), (39), (42), (47), (48), (55),
% 174.34/27.64  | | | | | | | |            (66), (71), (72), (73), (75), (82), (86), (88), (89),
% 174.34/27.64  | | | | | | | |            (100), (111), (112), (115), (120), (124), (126) are
% 174.34/27.64  | | | | | | | |            inconsistent by sub-proof #867.
% 174.34/27.64  | | | | | | | | 
% 174.34/27.64  | | | | | | | Case 2:
% 174.34/27.64  | | | | | | | | 
% 174.34/27.64  | | | | | | | |   (127)  all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 174.34/27.64  | | | | | | | | 
% 174.34/27.64  | | | | | | | | BETA: splitting (127) gives:
% 174.34/27.64  | | | | | | | | 
% 174.34/27.64  | | | | | | | | Case 1:
% 174.34/27.64  | | | | | | | | | 
% 174.34/27.64  | | | | | | | | |   (128)  all_56_13 = e1
% 174.34/27.64  | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | COMBINE_EQS: (68), (128) imply:
% 174.34/27.64  | | | | | | | | |   (129)  e1 = e0
% 174.34/27.64  | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | REDUCE: (88), (129) imply:
% 174.34/27.64  | | | | | | | | |   (130)  $false
% 174.34/27.64  | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | CLOSE: (130) is inconsistent.
% 174.34/27.64  | | | | | | | | | 
% 174.34/27.64  | | | | | | | | Case 2:
% 174.34/27.64  | | | | | | | | | 
% 174.34/27.64  | | | | | | | | |   (131)  all_56_14 = e1 | all_56_15 = e1
% 174.34/27.64  | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | BETA: splitting (131) gives:
% 174.34/27.64  | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | Case 1:
% 174.34/27.64  | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | |   (132)  all_56_14 = e1
% 174.34/27.64  | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | COMBINE_EQS: (16), (132) imply:
% 174.34/27.64  | | | | | | | | | |   (133)  all_52_11 = e1
% 174.34/27.64  | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | SIMP: (133) implies:
% 174.34/27.64  | | | | | | | | | |   (134)  all_52_11 = e1
% 174.34/27.64  | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | COMBINE_EQS: (34), (134) imply:
% 174.34/27.64  | | | | | | | | | |   (135)  all_58_27 = e1
% 174.34/27.64  | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | REDUCE: (23), (134) imply:
% 174.34/27.64  | | | | | | | | | |   (136)   ~ (all_10_2 = e1)
% 174.34/27.64  | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | SIMP: (136) implies:
% 174.34/27.64  | | | | | | | | | |   (137)   ~ (all_10_2 = e1)
% 174.34/27.64  | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | BETA: splitting (32) gives:
% 174.34/27.64  | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | Case 1:
% 174.34/27.64  | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | |   (138)  all_58_27 = e0
% 174.34/27.64  | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | COMBINE_EQS: (135), (138) imply:
% 174.34/27.64  | | | | | | | | | | |   (139)  e1 = e0
% 174.34/27.64  | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | REDUCE: (88), (139) imply:
% 174.34/27.64  | | | | | | | | | | |   (140)  $false
% 174.34/27.64  | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | CLOSE: (140) is inconsistent.
% 174.34/27.64  | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | Case 2:
% 174.34/27.64  | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | |   (141)   ~ (all_58_27 = e0)
% 174.34/27.64  | | | | | | | | | | |   (142)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.34/27.64  | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | REF_CLOSE: (7), (10), (13), (14), (15), (19), (20), (21),
% 174.34/27.64  | | | | | | | | | | |            (22), (26), (27), (31), (33), (35), (37), (41),
% 174.34/27.64  | | | | | | | | | | |            (44), (45), (48), (51), (52), (54), (56), (60),
% 174.34/27.64  | | | | | | | | | | |            (61), (66), (67), (75), (77), (82), (86), (88),
% 174.34/27.64  | | | | | | | | | | |            (90), (93), (100), (105), (111), (113), (115),
% 174.34/27.64  | | | | | | | | | | |            (117), (137), (142) are inconsistent by sub-proof
% 174.34/27.64  | | | | | | | | | | |            #859.
% 174.34/27.64  | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | End of split
% 174.34/27.64  | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | Case 2:
% 174.34/27.64  | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | |   (143)  all_56_15 = e1
% 174.34/27.64  | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | REF_CLOSE: (11), (12), (143) are inconsistent by sub-proof
% 174.34/27.64  | | | | | | | | | |            #876.
% 174.34/27.64  | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | End of split
% 174.34/27.64  | | | | | | | | | 
% 174.34/27.64  | | | | | | | | End of split
% 174.34/27.64  | | | | | | | | 
% 174.34/27.64  | | | | | | | End of split
% 174.34/27.64  | | | | | | | 
% 174.34/27.64  | | | | | | End of split
% 174.34/27.64  | | | | | | 
% 174.34/27.64  | | | | | End of split
% 174.34/27.64  | | | | | 
% 174.34/27.64  | | | | Case 2:
% 174.34/27.64  | | | | | 
% 174.34/27.64  | | | | |   (144)  all_56_11 = e0
% 174.34/27.64  | | | | | 
% 174.34/27.64  | | | | | REF_CLOSE: (29), (85), (144) are inconsistent by sub-proof #873.
% 174.34/27.64  | | | | | 
% 174.34/27.64  | | | | End of split
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | End of split
% 174.34/27.64  | | | 
% 174.34/27.64  | | Case 2:
% 174.34/27.64  | | | 
% 174.34/27.64  | | |   (145)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 174.34/27.64  | | | 
% 174.34/27.64  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 174.34/27.64  | | |            (16), (17), (18), (19), (20), (22), (23), (25), (26), (27),
% 174.34/27.64  | | |            (28), (29), (30), (31), (32), (33), (34), (35), (37), (38),
% 174.34/27.64  | | |            (39), (40), (41), (42), (45), (46), (47), (48), (50), (53),
% 174.34/27.64  | | |            (56), (57), (58), (59), (60), (61), (63), (68), (69), (70),
% 174.34/27.64  | | |            (71), (72), (73), (75), (76), (77), (78), (79), (81), (82),
% 174.34/27.64  | | |            (83), (86), (87), (88), (91), (92), (97), (145) are
% 174.34/27.64  | | |            inconsistent by sub-proof #842.
% 174.34/27.64  | | | 
% 174.34/27.64  | | End of split
% 174.34/27.64  | | 
% 174.34/27.64  | End of split
% 174.34/27.64  | 
% 174.34/27.64  End of proof
% 174.34/27.64  
% 174.34/27.64  Sub-proof #842 shows that the following formulas are inconsistent:
% 174.34/27.64  ----------------------------------------------------------------
% 174.34/27.64    (1)   ~ (all_52_12 = all_14_2)
% 174.34/27.64    (2)  all_56_1 = all_52_4
% 174.34/27.64    (3)  all_56_12 = all_52_3
% 174.34/27.64    (4)   ~ (all_10_2 = e0)
% 174.34/27.64    (5)   ~ (all_52_8 = all_52_12)
% 174.34/27.64    (6)   ~ (all_52_3 = all_14_2)
% 174.34/27.64    (7)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.34/27.64    (8)  all_56_5 = all_52_9
% 174.34/27.64    (9)  op(all_6_2, e3) = all_6_1
% 174.34/27.64    (10)   ~ (all_52_12 = all_6_2)
% 174.34/27.64    (11)   ~ (all_14_2 = e1)
% 174.34/27.64    (12)  all_56_15 = all_14_2
% 174.34/27.64    (13)  all_56_14 = all_52_11
% 174.34/27.64    (14)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 174.34/27.64    (15)  all_56_8 = all_10_2
% 174.34/27.64    (16)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.34/27.64    (17)  all_58_26 = all_10_2
% 174.34/27.64    (18)  all_58_31 = all_14_2
% 174.34/27.64    (19)   ~ (all_52_11 = all_10_2)
% 174.34/27.64    (20)   ~ (all_52_3 = all_6_2)
% 174.34/27.64    (21)   ~ (all_52_4 = e0)
% 174.34/27.64    (22)  all_58_18 = e0
% 174.34/27.64    (23)   ~ (all_52_1 = all_6_2)
% 174.34/27.64    (24)  all_56_11 = all_52_14
% 174.34/27.64    (25)  all_56_0 = all_6_2
% 174.34/27.64    (26)   ~ (all_52_9 = all_10_2)
% 174.34/27.64    (27)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.34/27.64    (28)  all_58_30 = all_52_14
% 174.34/27.64    (29)  all_58_27 = all_52_11
% 174.34/27.64    (30)  all_58_17 = all_52_1
% 174.34/27.64    (31)  all_58_19 = all_52_3
% 174.34/27.64    (32)  all_56_9 = all_52_12
% 174.34/27.64    (33)   ~ (e3 = e2)
% 174.34/27.64    (34)   ~ (e2 = e1)
% 174.34/27.64    (35)   ~ (all_52_6 = all_10_2)
% 174.34/27.64    (36)  all_56_1 = e0 | all_56_4 = e0 | all_56_9 = e0
% 174.34/27.64    (37)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.34/27.64    (38)  all_54_9 = all_52_6
% 174.34/27.64    (39)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.34/27.64    (40)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.34/27.64    (41)  all_58_16 = all_6_2
% 174.34/27.64    (42)   ~ (all_52_8 = all_52_9)
% 174.34/27.64    (43)  all_58_29 = all_52_13
% 174.34/27.64    (44)   ~ (all_52_6 = all_52_14)
% 174.34/27.64    (45)   ~ (all_52_8 = all_10_2)
% 174.34/27.64    (46)  all_56_4 = all_52_8
% 174.34/27.64    (47)   ~ (all_52_1 = all_52_13)
% 174.34/27.64    (48)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 174.34/27.64    (49)  all_54_10 = all_10_2
% 174.34/27.64    (50)   ~ (all_52_8 = all_6_2)
% 174.34/27.64    (51)  all_56_13 = e0
% 174.34/27.64    (52)  all_58_24 = all_52_8
% 174.34/27.64    (53)   ~ (all_52_9 = all_52_11)
% 174.34/27.64    (54)  all_54_0 = all_6_2
% 174.34/27.64    (55)   ~ (all_52_14 = all_10_2)
% 174.34/27.64    (56)   ~ (all_52_11 = e0)
% 174.34/27.64    (57)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 174.34/27.64    (58)  all_58_25 = all_52_9
% 174.34/27.64    (59)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 174.34/27.64    (60)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.34/27.64            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.34/27.64    (61)   ~ (all_6_1 = e0)
% 174.34/27.64    (62)   ~ (all_52_6 = e0)
% 174.34/27.64    (63)  all_56_10 = all_52_13
% 174.34/27.64    (64)   ~ (all_52_3 = e0)
% 174.34/27.64    (65)   ~ (e2 = e0)
% 174.34/27.64    (66)  all_58_28 = all_52_12
% 174.34/27.64    (67)  op(e1, all_52_6) = all_58_9
% 174.34/27.64    (68)   ~ (e1 = e0)
% 174.34/27.64    (69)  op(e1, e3) = e0
% 174.34/27.64    (70)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 174.34/27.64  
% 174.34/27.64  Begin of proof
% 174.34/27.64  | 
% 174.34/27.64  | BETA: splitting (36) gives:
% 174.34/27.64  | 
% 174.34/27.64  | Case 1:
% 174.34/27.64  | | 
% 174.34/27.64  | |   (71)  all_56_1 = e0
% 174.34/27.64  | | 
% 174.34/27.64  | | COMBINE_EQS: (2), (71) imply:
% 174.34/27.64  | |   (72)  all_52_4 = e0
% 174.34/27.64  | | 
% 174.34/27.64  | | REDUCE: (21), (72) imply:
% 174.34/27.64  | |   (73)  $false
% 174.34/27.64  | | 
% 174.34/27.64  | | CLOSE: (73) is inconsistent.
% 174.34/27.64  | | 
% 174.34/27.64  | Case 2:
% 174.34/27.64  | | 
% 174.34/27.64  | |   (74)  all_56_4 = e0 | all_56_9 = e0
% 174.34/27.64  | | 
% 174.34/27.64  | | BETA: splitting (57) gives:
% 174.34/27.64  | | 
% 174.34/27.64  | | Case 1:
% 174.34/27.64  | | | 
% 174.34/27.64  | | |   (75)  all_56_5 = e0
% 174.34/27.64  | | | 
% 174.34/27.64  | | | COMBINE_EQS: (8), (75) imply:
% 174.34/27.64  | | |   (76)  all_52_9 = e0
% 174.34/27.64  | | | 
% 174.34/27.64  | | | COMBINE_EQS: (58), (76) imply:
% 174.34/27.64  | | |   (77)  all_58_25 = e0
% 174.34/27.64  | | | 
% 174.34/27.64  | | | REDUCE: (42), (76) imply:
% 174.34/27.64  | | |   (78)   ~ (all_52_8 = e0)
% 174.34/27.64  | | | 
% 174.34/27.64  | | | REDUCE: (53), (76) imply:
% 174.34/27.64  | | |   (79)   ~ (all_52_11 = e0)
% 174.34/27.64  | | | 
% 174.34/27.64  | | | REDUCE: (26), (76) imply:
% 174.34/27.64  | | |   (80)   ~ (all_10_2 = e0)
% 174.34/27.64  | | | 
% 174.34/27.64  | | | BETA: splitting (74) gives:
% 174.34/27.64  | | | 
% 174.34/27.64  | | | Case 1:
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | |   (81)  all_56_4 = e0
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | | COMBINE_EQS: (46), (81) imply:
% 174.34/27.64  | | | |   (82)  all_52_8 = e0
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | | REDUCE: (78), (82) imply:
% 174.34/27.64  | | | |   (83)  $false
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | | CLOSE: (83) is inconsistent.
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | Case 2:
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | |   (84)  all_56_9 = e0
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | | COMBINE_EQS: (32), (84) imply:
% 174.34/27.64  | | | |   (85)  all_52_12 = e0
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | | SIMP: (85) implies:
% 174.34/27.64  | | | |   (86)  all_52_12 = e0
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | | COMBINE_EQS: (66), (86) imply:
% 174.34/27.64  | | | |   (87)  all_58_28 = e0
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | | REDUCE: (1), (86) imply:
% 174.34/27.64  | | | |   (88)   ~ (all_14_2 = e0)
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | | SIMP: (88) implies:
% 174.34/27.64  | | | |   (89)   ~ (all_14_2 = e0)
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | | REDUCE: (10), (86) imply:
% 174.34/27.64  | | | |   (90)   ~ (all_6_2 = e0)
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | | SIMP: (90) implies:
% 174.34/27.64  | | | |   (91)   ~ (all_6_2 = e0)
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | | BETA: splitting (70) gives:
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | | Case 1:
% 174.34/27.64  | | | | | 
% 174.34/27.64  | | | | |   (92)  all_56_12 = e1
% 174.34/27.64  | | | | | 
% 174.34/27.64  | | | | | COMBINE_EQS: (3), (92) imply:
% 174.34/27.64  | | | | |   (93)  all_52_3 = e1
% 174.34/27.64  | | | | | 
% 174.34/27.64  | | | | | SIMP: (93) implies:
% 174.34/27.64  | | | | |   (94)  all_52_3 = e1
% 174.34/27.64  | | | | | 
% 174.34/27.64  | | | | | REDUCE: (6), (94) imply:
% 174.34/27.64  | | | | |   (95)   ~ (all_14_2 = e1)
% 174.34/27.64  | | | | | 
% 174.34/27.64  | | | | | REDUCE: (20), (94) imply:
% 174.34/27.64  | | | | |   (96)   ~ (all_6_2 = e1)
% 174.34/27.64  | | | | | 
% 174.34/27.64  | | | | | SIMP: (96) implies:
% 174.34/27.64  | | | | |   (97)   ~ (all_6_2 = e1)
% 174.34/27.64  | | | | | 
% 174.34/27.64  | | | | | REF_CLOSE: (4), (7), (11), (12), (14), (16), (17), (18), (22), (23),
% 174.34/27.64  | | | | |            (24), (25), (27), (28), (29), (30), (31), (33), (34), (37),
% 174.34/27.64  | | | | |            (39), (40), (41), (43), (50), (52), (54), (55), (56), (63),
% 174.34/27.64  | | | | |            (64), (65), (68), (77), (84), (87), (89), (91), (97) are
% 174.34/27.64  | | | | |            inconsistent by sub-proof #847.
% 174.34/27.64  | | | | | 
% 174.34/27.64  | | | | Case 2:
% 174.34/27.64  | | | | | 
% 174.34/27.64  | | | | |   (98)  all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 174.34/27.64  | | | | | 
% 174.34/27.64  | | | | | BETA: splitting (98) gives:
% 174.34/27.64  | | | | | 
% 174.34/27.64  | | | | | Case 1:
% 174.34/27.64  | | | | | | 
% 174.34/27.64  | | | | | |   (99)  all_56_13 = e1
% 174.34/27.64  | | | | | | 
% 174.34/27.64  | | | | | | COMBINE_EQS: (51), (99) imply:
% 174.34/27.64  | | | | | |   (100)  e1 = e0
% 174.34/27.64  | | | | | | 
% 174.34/27.64  | | | | | | REDUCE: (68), (100) imply:
% 174.34/27.64  | | | | | |   (101)  $false
% 174.34/27.64  | | | | | | 
% 174.34/27.64  | | | | | | CLOSE: (101) is inconsistent.
% 174.34/27.64  | | | | | | 
% 174.34/27.64  | | | | | Case 2:
% 174.34/27.64  | | | | | | 
% 174.34/27.64  | | | | | |   (102)  all_56_14 = e1 | all_56_15 = e1
% 174.34/27.64  | | | | | | 
% 174.34/27.64  | | | | | | BETA: splitting (102) gives:
% 174.34/27.64  | | | | | | 
% 174.34/27.64  | | | | | | Case 1:
% 174.34/27.64  | | | | | | | 
% 174.34/27.64  | | | | | | |   (103)  all_56_14 = e1
% 174.34/27.64  | | | | | | | 
% 174.34/27.64  | | | | | | | COMBINE_EQS: (13), (103) imply:
% 174.34/27.64  | | | | | | |   (104)  all_52_11 = e1
% 174.34/27.64  | | | | | | | 
% 174.34/27.64  | | | | | | | SIMP: (104) implies:
% 174.34/27.64  | | | | | | |   (105)  all_52_11 = e1
% 174.34/27.64  | | | | | | | 
% 174.34/27.64  | | | | | | | COMBINE_EQS: (29), (105) imply:
% 174.34/27.64  | | | | | | |   (106)  all_58_27 = e1
% 174.34/27.64  | | | | | | | 
% 174.34/27.64  | | | | | | | REDUCE: (19), (105) imply:
% 174.34/27.64  | | | | | | |   (107)   ~ (all_10_2 = e1)
% 174.34/27.64  | | | | | | | 
% 174.34/27.64  | | | | | | | SIMP: (107) implies:
% 174.34/27.64  | | | | | | |   (108)   ~ (all_10_2 = e1)
% 174.34/27.64  | | | | | | | 
% 174.34/27.64  | | | | | | | BETA: splitting (27) gives:
% 174.34/27.64  | | | | | | | 
% 174.34/27.64  | | | | | | | Case 1:
% 174.34/27.64  | | | | | | | | 
% 174.34/27.64  | | | | | | | |   (109)  all_58_27 = e0
% 174.34/27.64  | | | | | | | | 
% 174.34/27.64  | | | | | | | | COMBINE_EQS: (106), (109) imply:
% 174.34/27.64  | | | | | | | |   (110)  e1 = e0
% 174.34/27.64  | | | | | | | | 
% 174.34/27.64  | | | | | | | | REDUCE: (68), (110) imply:
% 174.34/27.64  | | | | | | | |   (111)  $false
% 174.34/27.64  | | | | | | | | 
% 174.34/27.64  | | | | | | | | CLOSE: (111) is inconsistent.
% 174.34/27.64  | | | | | | | | 
% 174.34/27.64  | | | | | | | Case 2:
% 174.34/27.64  | | | | | | | | 
% 174.34/27.64  | | | | | | | |   (112)   ~ (all_58_27 = e0)
% 174.34/27.64  | | | | | | | |   (113)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.34/27.64  | | | | | | | | 
% 174.34/27.64  | | | | | | | | BETA: splitting (113) gives:
% 174.34/27.64  | | | | | | | | 
% 174.34/27.64  | | | | | | | | Case 1:
% 174.34/27.64  | | | | | | | | | 
% 174.34/27.64  | | | | | | | | |   (114)  all_58_26 = e1
% 174.34/27.64  | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | REF_CLOSE: (17), (108), (114) are inconsistent by sub-proof
% 174.34/27.64  | | | | | | | | |            #968.
% 174.34/27.64  | | | | | | | | | 
% 174.34/27.64  | | | | | | | | Case 2:
% 174.34/27.64  | | | | | | | | | 
% 174.34/27.64  | | | | | | | | |   (115)   ~ (all_58_26 = e1)
% 174.34/27.64  | | | | | | | | |   (116)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.64  | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | BETA: splitting (116) gives:
% 174.34/27.64  | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | Case 1:
% 174.34/27.64  | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | |   (117)  all_58_25 = e2
% 174.34/27.64  | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | COMBINE_EQS: (77), (117) imply:
% 174.34/27.64  | | | | | | | | | |   (118)  e2 = e0
% 174.34/27.64  | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | REDUCE: (65), (118) imply:
% 174.34/27.64  | | | | | | | | | |   (119)  $false
% 174.34/27.64  | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | CLOSE: (119) is inconsistent.
% 174.34/27.64  | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | Case 2:
% 174.34/27.64  | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | |   (120)  all_58_24 = e3
% 174.34/27.64  | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | COMBINE_EQS: (52), (120) imply:
% 174.34/27.64  | | | | | | | | | |   (121)  all_52_8 = e3
% 174.34/27.64  | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | REDUCE: (45), (121) imply:
% 174.34/27.64  | | | | | | | | | |   (122)   ~ (all_10_2 = e3)
% 174.34/27.64  | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | SIMP: (122) implies:
% 174.34/27.64  | | | | | | | | | |   (123)   ~ (all_10_2 = e3)
% 174.34/27.64  | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | REDUCE: (50), (121) imply:
% 174.34/27.64  | | | | | | | | | |   (124)   ~ (all_6_2 = e3)
% 174.34/27.64  | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | SIMP: (124) implies:
% 174.34/27.64  | | | | | | | | | |   (125)   ~ (all_6_2 = e3)
% 174.34/27.64  | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | REDUCE: (78), (121) imply:
% 174.34/27.64  | | | | | | | | | |   (126)   ~ (e3 = e0)
% 174.34/27.64  | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | BETA: splitting (48) gives:
% 174.34/27.64  | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | Case 1:
% 174.34/27.64  | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | |   (127)  all_54_10 = e1
% 174.34/27.64  | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | COMBINE_EQS: (49), (127) imply:
% 174.34/27.64  | | | | | | | | | | |   (128)  all_10_2 = e1
% 174.34/27.64  | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | REDUCE: (108), (128) imply:
% 174.34/27.64  | | | | | | | | | | |   (129)  $false
% 174.34/27.64  | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | CLOSE: (129) is inconsistent.
% 174.34/27.64  | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | Case 2:
% 174.34/27.64  | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | |   (130)  all_54_10 = e3 | all_54_10 = e2
% 174.34/27.64  | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | BETA: splitting (7) gives:
% 174.34/27.64  | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | Case 1:
% 174.34/27.64  | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | |   (131)  all_58_19 = e0
% 174.34/27.64  | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | COMBINE_EQS: (31), (131) imply:
% 174.34/27.64  | | | | | | | | | | | |   (132)  all_52_3 = e0
% 174.34/27.64  | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | REDUCE: (64), (132) imply:
% 174.34/27.64  | | | | | | | | | | | |   (133)  $false
% 174.34/27.64  | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | CLOSE: (133) is inconsistent.
% 174.34/27.64  | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | Case 2:
% 174.34/27.64  | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | |   (134)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.34/27.64  | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | BETA: splitting (134) gives:
% 174.34/27.64  | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | Case 1:
% 174.34/27.64  | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | |   (135)  all_58_18 = e1
% 174.34/27.64  | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | COMBINE_EQS: (22), (135) imply:
% 174.34/27.64  | | | | | | | | | | | | |   (136)  e1 = e0
% 174.34/27.64  | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | REDUCE: (68), (136) imply:
% 174.34/27.64  | | | | | | | | | | | | |   (137)  $false
% 174.34/27.64  | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | CLOSE: (137) is inconsistent.
% 174.34/27.64  | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | Case 2:
% 174.34/27.64  | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | |   (138)  all_58_16 = e3 | all_58_17 = e2
% 174.34/27.64  | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | BETA: splitting (130) gives:
% 174.34/27.64  | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | Case 1:
% 174.34/27.64  | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | |   (139)  all_54_10 = e2
% 174.34/27.64  | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | COMBINE_EQS: (49), (139) imply:
% 174.34/27.64  | | | | | | | | | | | | | |   (140)  all_10_2 = e2
% 174.34/27.64  | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | REDUCE: (35), (140) imply:
% 174.34/27.64  | | | | | | | | | | | | | |   (141)   ~ (all_52_6 = e2)
% 174.34/27.64  | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | BETA: splitting (138) gives:
% 174.34/27.64  | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | Case 1:
% 174.34/27.64  | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | |   (142)  all_58_17 = e2
% 174.34/27.64  | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | COMBINE_EQS: (30), (142) imply:
% 174.34/27.64  | | | | | | | | | | | | | | |   (143)  all_52_1 = e2
% 174.34/27.64  | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | REDUCE: (47), (143) imply:
% 174.34/27.64  | | | | | | | | | | | | | | |   (144)   ~ (all_52_13 = e2)
% 174.34/27.64  | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | SIMP: (144) implies:
% 174.34/27.64  | | | | | | | | | | | | | | |   (145)   ~ (all_52_13 = e2)
% 174.34/27.64  | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | REDUCE: (23), (143) imply:
% 174.34/27.64  | | | | | | | | | | | | | | |   (146)   ~ (all_6_2 = e2)
% 174.34/27.64  | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | SIMP: (146) implies:
% 174.34/27.64  | | | | | | | | | | | | | | |   (147)   ~ (all_6_2 = e2)
% 174.34/27.64  | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | BETA: splitting (37) gives:
% 174.34/27.64  | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | Case 1:
% 174.34/27.64  | | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | |   (148)  all_54_0 = e1
% 174.34/27.64  | | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | | COMBINE_EQS: (54), (148) imply:
% 174.34/27.64  | | | | | | | | | | | | | | | |   (149)  all_6_2 = e1
% 174.34/27.64  | | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | | SIMP: (149) implies:
% 174.34/27.64  | | | | | | | | | | | | | | | |   (150)  all_6_2 = e1
% 174.34/27.64  | | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | | REDUCE: (9), (150) imply:
% 174.34/27.64  | | | | | | | | | | | | | | | |   (151)  op(e1, e3) = all_6_1
% 174.34/27.64  | | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | | BETA: splitting (16) gives:
% 174.34/27.64  | | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.64  | | | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | | |   (152)  all_58_31 = e0
% 174.34/27.64  | | | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | | | COMBINE_EQS: (18), (152) imply:
% 174.34/27.64  | | | | | | | | | | | | | | | | |   (153)  all_14_2 = e0
% 174.34/27.64  | | | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | | | REDUCE: (89), (153) imply:
% 174.34/27.64  | | | | | | | | | | | | | | | | |   (154)  $false
% 174.34/27.64  | | | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | | | CLOSE: (154) is inconsistent.
% 174.34/27.64  | | | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.64  | | | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | | |   (155)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.34/27.64  | | | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | | | BETA: splitting (155) gives:
% 174.34/27.64  | | | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.64  | | | | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | | | |   (156)  all_58_30 = e1
% 174.34/27.64  | | | | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (28), (156) imply:
% 174.34/27.64  | | | | | | | | | | | | | | | | | |   (157)  all_52_14 = e1
% 174.34/27.64  | | | | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | | | | REDUCE: (44), (157) imply:
% 174.34/27.64  | | | | | | | | | | | | | | | | | |   (158)   ~ (all_52_6 = e1)
% 174.34/27.64  | | | | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (59), (60), (61), (62), (67), (69), (141),
% 174.34/27.64  | | | | | | | | | | | | | | | | | |            (151), (158) are inconsistent by sub-proof #845.
% 174.34/27.64  | | | | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.64  | | | | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | | | |   (159)  all_58_28 = e3 | all_58_29 = e2
% 174.34/27.64  | | | | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (87), (126), (145), (159) are inconsistent
% 174.34/27.64  | | | | | | | | | | | | | | | | | |            by sub-proof #844.
% 174.34/27.64  | | | | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | | | End of split
% 174.34/27.64  | | | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | | End of split
% 174.34/27.64  | | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | Case 2:
% 174.34/27.64  | | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | |   (160)  all_54_0 = e3 | all_54_0 = e2
% 174.34/27.64  | | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | | REF_CLOSE: (54), (125), (147), (160) are inconsistent by
% 174.34/27.64  | | | | | | | | | | | | | | | |            sub-proof #843.
% 174.34/27.64  | | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | End of split
% 174.34/27.64  | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | Case 2:
% 174.34/27.64  | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | |   (161)  all_58_16 = e3
% 174.34/27.64  | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | COMBINE_EQS: (41), (161) imply:
% 174.34/27.64  | | | | | | | | | | | | | | |   (162)  all_6_2 = e3
% 174.34/27.64  | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | REDUCE: (125), (162) imply:
% 174.34/27.64  | | | | | | | | | | | | | | |   (163)  $false
% 174.34/27.64  | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | | CLOSE: (163) is inconsistent.
% 174.34/27.64  | | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | End of split
% 174.34/27.64  | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | Case 2:
% 174.34/27.64  | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | |   (164)  all_54_10 = e3
% 174.34/27.64  | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | COMBINE_EQS: (49), (164) imply:
% 174.34/27.64  | | | | | | | | | | | | | |   (165)  all_10_2 = e3
% 174.34/27.64  | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | REDUCE: (123), (165) imply:
% 174.34/27.64  | | | | | | | | | | | | | |   (166)  $false
% 174.34/27.64  | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | | CLOSE: (166) is inconsistent.
% 174.34/27.64  | | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | | End of split
% 174.34/27.64  | | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | | End of split
% 174.34/27.64  | | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | | End of split
% 174.34/27.64  | | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | | End of split
% 174.34/27.64  | | | | | | | | | | 
% 174.34/27.64  | | | | | | | | | End of split
% 174.34/27.64  | | | | | | | | | 
% 174.34/27.64  | | | | | | | | End of split
% 174.34/27.64  | | | | | | | | 
% 174.34/27.64  | | | | | | | End of split
% 174.34/27.64  | | | | | | | 
% 174.34/27.64  | | | | | | Case 2:
% 174.34/27.64  | | | | | | | 
% 174.34/27.64  | | | | | | |   (167)  all_56_15 = e1
% 174.34/27.64  | | | | | | | 
% 174.34/27.64  | | | | | | | REF_CLOSE: (11), (12), (167) are inconsistent by sub-proof #876.
% 174.34/27.64  | | | | | | | 
% 174.34/27.64  | | | | | | End of split
% 174.34/27.64  | | | | | | 
% 174.34/27.64  | | | | | End of split
% 174.34/27.64  | | | | | 
% 174.34/27.64  | | | | End of split
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | End of split
% 174.34/27.64  | | | 
% 174.34/27.64  | | Case 2:
% 174.34/27.64  | | | 
% 174.34/27.64  | | |   (168)  all_56_8 = e0 | all_56_14 = e0
% 174.34/27.64  | | | 
% 174.34/27.64  | | | REF_CLOSE: (4), (13), (15), (56), (168) are inconsistent by sub-proof
% 174.34/27.64  | | |            #914.
% 174.34/27.64  | | | 
% 174.34/27.64  | | End of split
% 174.34/27.64  | | 
% 174.34/27.64  | End of split
% 174.34/27.64  | 
% 174.34/27.64  End of proof
% 174.34/27.64  
% 174.34/27.64  Sub-proof #843 shows that the following formulas are inconsistent:
% 174.34/27.64  ----------------------------------------------------------------
% 174.34/27.64    (1)  all_54_0 = e3 | all_54_0 = e2
% 174.34/27.64    (2)  all_54_0 = all_6_2
% 174.34/27.64    (3)   ~ (all_6_2 = e2)
% 174.34/27.64    (4)   ~ (all_6_2 = e3)
% 174.34/27.64  
% 174.34/27.64  Begin of proof
% 174.34/27.64  | 
% 174.34/27.64  | BETA: splitting (1) gives:
% 174.34/27.64  | 
% 174.34/27.64  | Case 1:
% 174.34/27.64  | | 
% 174.34/27.64  | |   (5)  all_54_0 = e2
% 174.34/27.64  | | 
% 174.34/27.64  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #946.
% 174.34/27.64  | | 
% 174.34/27.64  | Case 2:
% 174.34/27.64  | | 
% 174.34/27.64  | |   (6)  all_54_0 = e3
% 174.34/27.64  | | 
% 174.34/27.64  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #945.
% 174.34/27.64  | | 
% 174.34/27.64  | End of split
% 174.34/27.64  | 
% 174.34/27.64  End of proof
% 174.34/27.64  
% 174.34/27.64  Sub-proof #844 shows that the following formulas are inconsistent:
% 174.34/27.64  ----------------------------------------------------------------
% 174.34/27.64    (1)  all_58_28 = e3 | all_58_29 = e2
% 174.34/27.64    (2)  all_58_28 = e0
% 174.34/27.64    (3)   ~ (all_52_13 = e2)
% 174.34/27.64    (4)   ~ (e3 = e0)
% 174.34/27.64    (5)  all_58_29 = all_52_13
% 174.34/27.64  
% 174.34/27.64  Begin of proof
% 174.34/27.64  | 
% 174.34/27.64  | BETA: splitting (1) gives:
% 174.34/27.64  | 
% 174.34/27.64  | Case 1:
% 174.34/27.64  | | 
% 174.34/27.64  | |   (6)  all_58_29 = e2
% 174.34/27.64  | | 
% 174.34/27.64  | | COMBINE_EQS: (5), (6) imply:
% 174.34/27.64  | |   (7)  all_52_13 = e2
% 174.34/27.64  | | 
% 174.34/27.64  | | REDUCE: (3), (7) imply:
% 174.34/27.64  | |   (8)  $false
% 174.34/27.64  | | 
% 174.34/27.64  | | CLOSE: (8) is inconsistent.
% 174.34/27.64  | | 
% 174.34/27.64  | Case 2:
% 174.34/27.64  | | 
% 174.34/27.64  | |   (9)  all_58_28 = e3
% 174.34/27.64  | | 
% 174.34/27.64  | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #857.
% 174.34/27.64  | | 
% 174.34/27.64  | End of split
% 174.34/27.64  | 
% 174.34/27.64  End of proof
% 174.34/27.64  
% 174.34/27.64  Sub-proof #845 shows that the following formulas are inconsistent:
% 174.34/27.64  ----------------------------------------------------------------
% 174.34/27.64    (1)   ~ (all_52_6 = e1)
% 174.34/27.64    (2)  all_54_9 = all_52_6
% 174.34/27.64    (3)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 174.34/27.64    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.34/27.64           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.34/27.64    (5)   ~ (all_6_1 = e0)
% 174.34/27.64    (6)   ~ (all_52_6 = e0)
% 174.34/27.64    (7)   ~ (all_52_6 = e2)
% 174.34/27.64    (8)  op(e1, all_52_6) = all_58_9
% 174.34/27.64    (9)  op(e1, e3) = e0
% 174.34/27.64    (10)  op(e1, e3) = all_6_1
% 174.34/27.64  
% 174.34/27.64  Begin of proof
% 174.34/27.64  | 
% 174.34/27.64  | BETA: splitting (3) gives:
% 174.34/27.64  | 
% 174.34/27.64  | Case 1:
% 174.34/27.64  | | 
% 174.34/27.64  | |   (11)  all_54_9 = e0
% 174.34/27.64  | | 
% 174.34/27.64  | | REF_CLOSE: (2), (6), (11) are inconsistent by sub-proof #903.
% 174.34/27.64  | | 
% 174.34/27.64  | Case 2:
% 174.34/27.64  | | 
% 174.34/27.64  | |   (12)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 174.34/27.64  | | 
% 174.34/27.64  | | BETA: splitting (12) gives:
% 174.34/27.64  | | 
% 174.34/27.64  | | Case 1:
% 174.34/27.64  | | | 
% 174.34/27.64  | | |   (13)  all_54_9 = e1
% 174.34/27.64  | | | 
% 174.34/27.64  | | | REF_CLOSE: (1), (2), (13) are inconsistent by sub-proof #900.
% 174.34/27.64  | | | 
% 174.34/27.64  | | Case 2:
% 174.34/27.64  | | | 
% 174.34/27.64  | | |   (14)  all_54_9 = e3 | all_54_9 = e2
% 174.34/27.64  | | | 
% 174.34/27.64  | | | BETA: splitting (14) gives:
% 174.34/27.64  | | | 
% 174.34/27.64  | | | Case 1:
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | |   (15)  all_54_9 = e2
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | | REF_CLOSE: (2), (7), (15) are inconsistent by sub-proof #899.
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | Case 2:
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | |   (16)  all_54_9 = e3
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | | COMBINE_EQS: (2), (16) imply:
% 174.34/27.64  | | | |   (17)  all_52_6 = e3
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | | SIMP: (17) implies:
% 174.34/27.64  | | | |   (18)  all_52_6 = e3
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | | REDUCE: (8), (18) imply:
% 174.34/27.64  | | | |   (19)  op(e1, e3) = all_58_9
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | | REF_CLOSE: (4), (5), (9), (10), (19) are inconsistent by sub-proof #846.
% 174.34/27.64  | | | | 
% 174.34/27.64  | | | End of split
% 174.34/27.64  | | | 
% 174.34/27.64  | | End of split
% 174.34/27.64  | | 
% 174.34/27.64  | End of split
% 174.34/27.64  | 
% 174.34/27.64  End of proof
% 174.34/27.64  
% 174.34/27.64  Sub-proof #846 shows that the following formulas are inconsistent:
% 174.34/27.64  ----------------------------------------------------------------
% 174.34/27.64    (1)  op(e1, e3) = all_58_9
% 174.34/27.64    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.34/27.64           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.34/27.64    (3)   ~ (all_6_1 = e0)
% 174.34/27.64    (4)  op(e1, e3) = e0
% 174.34/27.64    (5)  op(e1, e3) = all_6_1
% 174.34/27.64  
% 174.34/27.64  Begin of proof
% 174.34/27.64  | 
% 174.34/27.64  | GROUND_INST: instantiating (2) with e0, all_58_9, e3, e1, simplifying with
% 174.34/27.64  |              (1), (4) gives:
% 174.34/27.64  |   (6)  all_58_9 = e0
% 174.34/27.64  | 
% 174.34/27.64  | GROUND_INST: instantiating (2) with all_6_1, all_58_9, e3, e1, simplifying
% 174.34/27.64  |              with (1), (5) gives:
% 174.34/27.64  |   (7)  all_58_9 = all_6_1
% 174.34/27.64  | 
% 174.34/27.64  | COMBINE_EQS: (6), (7) imply:
% 174.34/27.64  |   (8)  all_6_1 = e0
% 174.34/27.64  | 
% 174.34/27.64  | REDUCE: (3), (8) imply:
% 174.34/27.64  |   (9)  $false
% 174.34/27.64  | 
% 174.34/27.64  | CLOSE: (9) is inconsistent.
% 174.34/27.64  | 
% 174.34/27.64  End of proof
% 174.34/27.64  
% 174.34/27.64  Sub-proof #847 shows that the following formulas are inconsistent:
% 174.34/27.64  ----------------------------------------------------------------
% 174.34/27.64    (1)   ~ (all_10_2 = e0)
% 174.34/27.64    (2)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.34/27.64    (3)   ~ (all_14_2 = e1)
% 174.34/27.64    (4)  all_56_15 = all_14_2
% 174.34/27.65    (5)   ~ (all_14_2 = e0)
% 174.34/27.65    (6)  all_56_0 = e3 | all_56_2 = e3 | all_56_6 = e3 | all_56_12 = e3
% 174.34/27.65    (7)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.34/27.65    (8)  all_58_26 = all_10_2
% 174.34/27.65    (9)  all_58_31 = all_14_2
% 174.34/27.65    (10)  all_58_25 = e0
% 174.34/27.65    (11)  all_56_9 = e0
% 174.34/27.65    (12)  all_58_18 = e0
% 174.34/27.65    (13)   ~ (all_52_1 = all_6_2)
% 174.34/27.65    (14)  all_56_11 = all_52_14
% 174.34/27.65    (15)  all_56_0 = all_6_2
% 174.34/27.65    (16)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.34/27.65    (17)  all_58_30 = all_52_14
% 174.34/27.65    (18)  all_58_27 = all_52_11
% 174.34/27.65    (19)  all_58_17 = all_52_1
% 174.34/27.65    (20)  all_58_19 = all_52_3
% 174.34/27.65    (21)   ~ (e3 = e2)
% 174.34/27.65    (22)   ~ (e2 = e1)
% 174.34/27.65    (23)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.34/27.65    (24)  all_58_28 = e0
% 174.34/27.65    (25)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.34/27.65    (26)   ~ (all_6_2 = e1)
% 174.34/27.65    (27)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.34/27.65    (28)  all_58_16 = all_6_2
% 174.34/27.65    (29)  all_58_29 = all_52_13
% 174.34/27.65    (30)   ~ (all_6_2 = e0)
% 174.34/27.65    (31)   ~ (all_52_8 = all_6_2)
% 174.34/27.65    (32)  all_58_24 = all_52_8
% 174.34/27.65    (33)  all_54_0 = all_6_2
% 174.34/27.65    (34)   ~ (all_52_14 = all_10_2)
% 174.34/27.65    (35)   ~ (all_52_11 = e0)
% 174.34/27.65    (36)  all_56_10 = all_52_13
% 174.34/27.65    (37)   ~ (all_52_3 = e0)
% 174.34/27.65    (38)   ~ (e2 = e0)
% 174.34/27.65    (39)   ~ (e1 = e0)
% 174.34/27.65  
% 174.34/27.65  Begin of proof
% 174.34/27.65  | 
% 174.34/27.65  | BETA: splitting (27) gives:
% 174.34/27.65  | 
% 174.34/27.65  | Case 1:
% 174.34/27.65  | | 
% 174.34/27.65  | |   (40)  all_56_0 = e2
% 174.34/27.65  | | 
% 174.34/27.65  | | REF_CLOSE: (2), (12), (13), (15), (19), (20), (21), (28), (37), (39), (40)
% 174.34/27.65  | |            are inconsistent by sub-proof #907.
% 174.34/27.65  | | 
% 174.34/27.65  | Case 2:
% 174.34/27.65  | | 
% 174.34/27.65  | |   (41)   ~ (all_56_0 = e2)
% 174.34/27.65  | | 
% 174.34/27.65  | | REDUCE: (15), (41) imply:
% 174.34/27.65  | |   (42)   ~ (all_6_2 = e2)
% 174.34/27.65  | | 
% 174.34/27.65  | | BETA: splitting (6) gives:
% 174.34/27.65  | | 
% 174.34/27.65  | | Case 1:
% 174.34/27.65  | | | 
% 174.34/27.65  | | |   (43)  all_56_0 = e3
% 174.34/27.65  | | | 
% 174.34/27.65  | | | COMBINE_EQS: (15), (43) imply:
% 174.34/27.65  | | |   (44)  all_6_2 = e3
% 174.34/27.65  | | | 
% 174.34/27.65  | | | REDUCE: (31), (44) imply:
% 174.34/27.65  | | |   (45)   ~ (all_52_8 = e3)
% 174.34/27.65  | | | 
% 174.34/27.65  | | | REDUCE: (30), (44) imply:
% 174.34/27.65  | | |   (46)   ~ (e3 = e0)
% 174.34/27.65  | | | 
% 174.34/27.65  | | | BETA: splitting (16) gives:
% 174.34/27.65  | | | 
% 174.34/27.65  | | | Case 1:
% 174.34/27.65  | | | | 
% 174.34/27.65  | | | |   (47)  all_58_27 = e0
% 174.34/27.65  | | | | 
% 174.34/27.65  | | | | COMBINE_EQS: (18), (47) imply:
% 174.34/27.65  | | | |   (48)  all_52_11 = e0
% 174.34/27.65  | | | | 
% 174.34/27.65  | | | | REDUCE: (35), (48) imply:
% 174.34/27.65  | | | |   (49)  $false
% 174.34/27.65  | | | | 
% 174.34/27.65  | | | | CLOSE: (49) is inconsistent.
% 174.34/27.65  | | | | 
% 174.34/27.65  | | | Case 2:
% 174.34/27.65  | | | | 
% 174.34/27.65  | | | |   (50)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.34/27.65  | | | | 
% 174.34/27.65  | | | | BETA: splitting (50) gives:
% 174.34/27.65  | | | | 
% 174.34/27.65  | | | | Case 1:
% 174.34/27.65  | | | | | 
% 174.34/27.65  | | | | |   (51)  all_58_26 = e1
% 174.34/27.65  | | | | | 
% 174.34/27.65  | | | | | COMBINE_EQS: (8), (51) imply:
% 174.34/27.65  | | | | |   (52)  all_10_2 = e1
% 174.34/27.65  | | | | | 
% 174.34/27.65  | | | | | REDUCE: (34), (52) imply:
% 174.34/27.65  | | | | |   (53)   ~ (all_52_14 = e1)
% 174.34/27.65  | | | | | 
% 174.34/27.65  | | | | | REF_CLOSE: (3), (4), (5), (7), (9), (11), (14), (17), (22), (24),
% 174.34/27.65  | | | | |            (25), (29), (36), (39), (46), (53) are inconsistent by
% 174.34/27.65  | | | | |            sub-proof #851.
% 174.34/27.65  | | | | | 
% 174.34/27.65  | | | | Case 2:
% 174.34/27.65  | | | | | 
% 174.34/27.65  | | | | |   (54)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.65  | | | | | 
% 174.34/27.65  | | | | | REF_CLOSE: (10), (32), (38), (45), (54) are inconsistent by sub-proof
% 174.34/27.65  | | | | |            #849.
% 174.34/27.65  | | | | | 
% 174.34/27.65  | | | | End of split
% 174.34/27.65  | | | | 
% 174.34/27.65  | | | End of split
% 174.34/27.65  | | | 
% 174.34/27.65  | | Case 2:
% 174.34/27.65  | | | 
% 174.34/27.65  | | |   (55)   ~ (all_56_0 = e3)
% 174.34/27.65  | | | 
% 174.34/27.65  | | | REDUCE: (15), (55) imply:
% 174.34/27.65  | | |   (56)   ~ (all_6_2 = e3)
% 174.34/27.65  | | | 
% 174.34/27.65  | | | REF_CLOSE: (23), (26), (33), (42), (56) are inconsistent by sub-proof
% 174.34/27.65  | | |            #848.
% 174.34/27.65  | | | 
% 174.34/27.65  | | End of split
% 174.34/27.65  | | 
% 174.34/27.65  | End of split
% 174.34/27.65  | 
% 174.34/27.65  End of proof
% 174.34/27.65  
% 174.34/27.65  Sub-proof #848 shows that the following formulas are inconsistent:
% 174.34/27.65  ----------------------------------------------------------------
% 174.34/27.65    (1)   ~ (all_6_2 = e2)
% 174.34/27.65    (2)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.34/27.65    (3)   ~ (all_6_2 = e3)
% 174.34/27.65    (4)   ~ (all_6_2 = e1)
% 174.34/27.65    (5)  all_54_0 = all_6_2
% 174.34/27.65  
% 174.34/27.65  Begin of proof
% 174.34/27.65  | 
% 174.34/27.65  | BETA: splitting (2) gives:
% 174.34/27.65  | 
% 174.34/27.65  | Case 1:
% 174.34/27.65  | | 
% 174.34/27.65  | |   (6)  all_54_0 = e1
% 174.34/27.65  | | 
% 174.34/27.65  | | REF_CLOSE: (4), (5), (6) are inconsistent by sub-proof #951.
% 174.34/27.65  | | 
% 174.34/27.65  | Case 2:
% 174.34/27.65  | | 
% 174.34/27.65  | |   (7)  all_54_0 = e3 | all_54_0 = e2
% 174.34/27.65  | | 
% 174.34/27.65  | | BETA: splitting (7) gives:
% 174.34/27.65  | | 
% 174.34/27.65  | | Case 1:
% 174.34/27.65  | | | 
% 174.34/27.65  | | |   (8)  all_54_0 = e2
% 174.34/27.65  | | | 
% 174.34/27.65  | | | REF_CLOSE: (1), (5), (8) are inconsistent by sub-proof #946.
% 174.34/27.65  | | | 
% 174.34/27.65  | | Case 2:
% 174.34/27.65  | | | 
% 174.34/27.65  | | |   (9)  all_54_0 = e3
% 174.34/27.65  | | | 
% 174.34/27.65  | | | REF_CLOSE: (3), (5), (9) are inconsistent by sub-proof #945.
% 174.34/27.65  | | | 
% 174.34/27.65  | | End of split
% 174.34/27.65  | | 
% 174.34/27.65  | End of split
% 174.34/27.65  | 
% 174.34/27.65  End of proof
% 174.34/27.65  
% 174.34/27.65  Sub-proof #849 shows that the following formulas are inconsistent:
% 174.34/27.65  ----------------------------------------------------------------
% 174.34/27.65    (1)  all_58_25 = e0
% 174.34/27.65    (2)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.65    (3)   ~ (all_52_8 = e3)
% 174.34/27.65    (4)  all_58_24 = all_52_8
% 174.34/27.65    (5)   ~ (e2 = e0)
% 174.34/27.65  
% 174.34/27.65  Begin of proof
% 174.34/27.65  | 
% 174.34/27.65  | BETA: splitting (2) gives:
% 174.34/27.65  | 
% 174.34/27.65  | Case 1:
% 174.34/27.65  | | 
% 174.34/27.65  | |   (6)  all_58_25 = e2
% 174.34/27.65  | | 
% 174.34/27.65  | | REF_CLOSE: (1), (5), (6) are inconsistent by sub-proof #850.
% 174.34/27.65  | | 
% 174.34/27.65  | Case 2:
% 174.34/27.65  | | 
% 174.34/27.65  | |   (7)  all_58_24 = e3
% 174.34/27.65  | | 
% 174.34/27.65  | | COMBINE_EQS: (4), (7) imply:
% 174.34/27.65  | |   (8)  all_52_8 = e3
% 174.34/27.65  | | 
% 174.34/27.65  | | REDUCE: (3), (8) imply:
% 174.34/27.65  | |   (9)  $false
% 174.34/27.65  | | 
% 174.34/27.65  | | CLOSE: (9) is inconsistent.
% 174.34/27.65  | | 
% 174.34/27.65  | End of split
% 174.34/27.65  | 
% 174.34/27.65  End of proof
% 174.34/27.65  
% 174.34/27.65  Sub-proof #850 shows that the following formulas are inconsistent:
% 174.34/27.65  ----------------------------------------------------------------
% 174.34/27.65    (1)  all_58_25 = e2
% 174.34/27.65    (2)  all_58_25 = e0
% 174.34/27.65    (3)   ~ (e2 = e0)
% 174.34/27.65  
% 174.34/27.65  Begin of proof
% 174.34/27.65  | 
% 174.34/27.65  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.65  |   (4)  e2 = e0
% 174.34/27.65  | 
% 174.34/27.65  | SIMP: (4) implies:
% 174.34/27.65  |   (5)  e2 = e0
% 174.34/27.65  | 
% 174.34/27.65  | REDUCE: (3), (5) imply:
% 174.34/27.65  |   (6)  $false
% 174.34/27.65  | 
% 174.34/27.65  | CLOSE: (6) is inconsistent.
% 174.34/27.65  | 
% 174.34/27.65  End of proof
% 174.34/27.65  
% 174.34/27.65  Sub-proof #851 shows that the following formulas are inconsistent:
% 174.34/27.65  ----------------------------------------------------------------
% 174.34/27.65    (1)   ~ (all_14_2 = e1)
% 174.34/27.65    (2)  all_56_15 = all_14_2
% 174.34/27.65    (3)   ~ (all_14_2 = e0)
% 174.34/27.65    (4)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.34/27.65    (5)  all_58_31 = all_14_2
% 174.34/27.65    (6)  all_56_9 = e0
% 174.34/27.65    (7)  all_56_11 = all_52_14
% 174.34/27.65    (8)  all_58_30 = all_52_14
% 174.34/27.65    (9)   ~ (e2 = e1)
% 174.34/27.65    (10)   ~ (all_52_14 = e1)
% 174.34/27.65    (11)  all_58_28 = e0
% 174.34/27.65    (12)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.34/27.65    (13)   ~ (e3 = e0)
% 174.34/27.65    (14)  all_58_29 = all_52_13
% 174.34/27.65    (15)  all_56_10 = all_52_13
% 174.34/27.65    (16)   ~ (e1 = e0)
% 174.34/27.65  
% 174.34/27.65  Begin of proof
% 174.34/27.65  | 
% 174.34/27.65  | BETA: splitting (4) gives:
% 174.34/27.65  | 
% 174.34/27.65  | Case 1:
% 174.34/27.65  | | 
% 174.34/27.65  | |   (17)  all_58_31 = e0
% 174.34/27.65  | | 
% 174.34/27.65  | | COMBINE_EQS: (5), (17) imply:
% 174.34/27.65  | |   (18)  all_14_2 = e0
% 174.34/27.65  | | 
% 174.34/27.65  | | REDUCE: (3), (18) imply:
% 174.34/27.65  | |   (19)  $false
% 174.34/27.65  | | 
% 174.34/27.65  | | CLOSE: (19) is inconsistent.
% 174.34/27.65  | | 
% 174.34/27.65  | Case 2:
% 174.34/27.65  | | 
% 174.34/27.65  | |   (20)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.34/27.65  | | 
% 174.34/27.65  | | REF_CLOSE: (1), (2), (6), (7), (8), (9), (10), (11), (12), (13), (14), (15),
% 174.34/27.65  | |            (16), (20) are inconsistent by sub-proof #852.
% 174.34/27.65  | | 
% 174.34/27.65  | End of split
% 174.34/27.65  | 
% 174.34/27.65  End of proof
% 174.34/27.65  
% 174.34/27.65  Sub-proof #852 shows that the following formulas are inconsistent:
% 174.34/27.65  ----------------------------------------------------------------
% 174.34/27.65    (1)   ~ (all_14_2 = e1)
% 174.34/27.65    (2)  all_56_15 = all_14_2
% 174.34/27.65    (3)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.34/27.65    (4)  all_56_9 = e0
% 174.34/27.65    (5)  all_56_11 = all_52_14
% 174.34/27.65    (6)  all_58_30 = all_52_14
% 174.34/27.65    (7)   ~ (e2 = e1)
% 174.34/27.65    (8)   ~ (all_52_14 = e1)
% 174.34/27.65    (9)  all_58_28 = e0
% 174.34/27.65    (10)  all_56_9 = e1 | all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.34/27.65    (11)   ~ (e3 = e0)
% 174.34/27.65    (12)  all_58_29 = all_52_13
% 174.34/27.65    (13)  all_56_10 = all_52_13
% 174.34/27.65    (14)   ~ (e1 = e0)
% 174.34/27.65  
% 174.34/27.65  Begin of proof
% 174.34/27.65  | 
% 174.34/27.65  | BETA: splitting (10) gives:
% 174.34/27.65  | 
% 174.34/27.65  | Case 1:
% 174.34/27.65  | | 
% 174.34/27.65  | |   (15)  all_56_9 = e1
% 174.34/27.65  | | 
% 174.34/27.65  | | COMBINE_EQS: (4), (15) imply:
% 174.34/27.65  | |   (16)  e1 = e0
% 174.34/27.65  | | 
% 174.34/27.65  | | REDUCE: (14), (16) imply:
% 174.34/27.65  | |   (17)  $false
% 174.34/27.65  | | 
% 174.34/27.65  | | CLOSE: (17) is inconsistent.
% 174.34/27.65  | | 
% 174.34/27.65  | Case 2:
% 174.34/27.65  | | 
% 174.34/27.65  | |   (18)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.34/27.65  | | 
% 174.34/27.65  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (11), (12), (13), (18)
% 174.34/27.65  | |            are inconsistent by sub-proof #853.
% 174.34/27.65  | | 
% 174.34/27.65  | End of split
% 174.34/27.65  | 
% 174.34/27.65  End of proof
% 174.34/27.65  
% 174.34/27.65  Sub-proof #853 shows that the following formulas are inconsistent:
% 174.34/27.65  ----------------------------------------------------------------
% 174.34/27.65    (1)  all_56_10 = e1 | all_56_11 = e1 | all_56_15 = e1
% 174.34/27.65    (2)   ~ (all_14_2 = e1)
% 174.34/27.65    (3)  all_56_15 = all_14_2
% 174.34/27.65    (4)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.34/27.65    (5)  all_56_11 = all_52_14
% 174.34/27.65    (6)  all_58_30 = all_52_14
% 174.34/27.65    (7)   ~ (e2 = e1)
% 174.34/27.65    (8)   ~ (all_52_14 = e1)
% 174.34/27.65    (9)  all_58_28 = e0
% 174.34/27.65    (10)   ~ (e3 = e0)
% 174.34/27.65    (11)  all_58_29 = all_52_13
% 174.34/27.65    (12)  all_56_10 = all_52_13
% 174.34/27.65  
% 174.34/27.65  Begin of proof
% 174.34/27.65  | 
% 174.34/27.65  | BETA: splitting (1) gives:
% 174.34/27.65  | 
% 174.34/27.65  | Case 1:
% 174.34/27.65  | | 
% 174.34/27.65  | |   (13)  all_56_10 = e1
% 174.34/27.65  | | 
% 174.34/27.65  | | REF_CLOSE: (4), (6), (7), (8), (9), (10), (11), (12), (13) are inconsistent
% 174.34/27.65  | |            by sub-proof #855.
% 174.34/27.65  | | 
% 174.34/27.65  | Case 2:
% 174.34/27.65  | | 
% 174.34/27.65  | |   (14)  all_56_11 = e1 | all_56_15 = e1
% 174.34/27.65  | | 
% 174.34/27.65  | | BETA: splitting (14) gives:
% 174.34/27.65  | | 
% 174.34/27.65  | | Case 1:
% 174.34/27.65  | | | 
% 174.34/27.65  | | |   (15)  all_56_11 = e1
% 174.34/27.65  | | | 
% 174.34/27.65  | | | REF_CLOSE: (5), (8), (15) are inconsistent by sub-proof #854.
% 174.34/27.65  | | | 
% 174.34/27.65  | | Case 2:
% 174.34/27.65  | | | 
% 174.34/27.65  | | |   (16)  all_56_15 = e1
% 174.34/27.65  | | | 
% 174.34/27.65  | | | REF_CLOSE: (2), (3), (16) are inconsistent by sub-proof #876.
% 174.34/27.65  | | | 
% 174.34/27.65  | | End of split
% 174.34/27.65  | | 
% 174.34/27.65  | End of split
% 174.34/27.65  | 
% 174.34/27.65  End of proof
% 174.34/27.65  
% 174.34/27.65  Sub-proof #854 shows that the following formulas are inconsistent:
% 174.34/27.65  ----------------------------------------------------------------
% 174.34/27.65    (1)  all_56_11 = all_52_14
% 174.34/27.65    (2)  all_56_11 = e1
% 174.34/27.65    (3)   ~ (all_52_14 = e1)
% 174.34/27.65  
% 174.34/27.65  Begin of proof
% 174.34/27.65  | 
% 174.34/27.65  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.65  |   (4)  all_52_14 = e1
% 174.34/27.65  | 
% 174.34/27.65  | SIMP: (4) implies:
% 174.34/27.65  |   (5)  all_52_14 = e1
% 174.34/27.65  | 
% 174.34/27.65  | REDUCE: (3), (5) imply:
% 174.34/27.65  |   (6)  $false
% 174.34/27.65  | 
% 174.34/27.65  | CLOSE: (6) is inconsistent.
% 174.34/27.65  | 
% 174.34/27.65  End of proof
% 174.34/27.65  
% 174.34/27.65  Sub-proof #855 shows that the following formulas are inconsistent:
% 174.34/27.65  ----------------------------------------------------------------
% 174.34/27.65    (1)  all_56_10 = e1
% 174.34/27.65    (2)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.34/27.65    (3)  all_58_30 = all_52_14
% 174.34/27.65    (4)   ~ (e2 = e1)
% 174.34/27.65    (5)   ~ (all_52_14 = e1)
% 174.34/27.65    (6)  all_58_28 = e0
% 174.34/27.65    (7)   ~ (e3 = e0)
% 174.34/27.65    (8)  all_58_29 = all_52_13
% 174.34/27.65    (9)  all_56_10 = all_52_13
% 174.34/27.65  
% 174.34/27.65  Begin of proof
% 174.34/27.65  | 
% 174.34/27.65  | COMBINE_EQS: (1), (9) imply:
% 174.34/27.65  |   (10)  all_52_13 = e1
% 174.34/27.65  | 
% 174.34/27.65  | SIMP: (10) implies:
% 174.34/27.65  |   (11)  all_52_13 = e1
% 174.34/27.65  | 
% 174.34/27.65  | COMBINE_EQS: (8), (11) imply:
% 174.34/27.65  |   (12)  all_58_29 = e1
% 174.34/27.65  | 
% 174.34/27.65  | REF_CLOSE: (2), (3), (4), (5), (6), (7), (12) are inconsistent by sub-proof
% 174.34/27.65  |            #856.
% 174.34/27.65  | 
% 174.34/27.65  End of proof
% 174.34/27.65  
% 174.34/27.65  Sub-proof #856 shows that the following formulas are inconsistent:
% 174.34/27.65  ----------------------------------------------------------------
% 174.34/27.65    (1)  all_58_29 = e1
% 174.34/27.65    (2)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.34/27.65    (3)  all_58_30 = all_52_14
% 174.34/27.65    (4)   ~ (e2 = e1)
% 174.34/27.65    (5)   ~ (all_52_14 = e1)
% 174.34/27.65    (6)  all_58_28 = e0
% 174.34/27.65    (7)   ~ (e3 = e0)
% 174.34/27.65  
% 174.34/27.65  Begin of proof
% 174.34/27.65  | 
% 174.34/27.65  | BETA: splitting (2) gives:
% 174.34/27.65  | 
% 174.34/27.65  | Case 1:
% 174.34/27.65  | | 
% 174.34/27.65  | |   (8)  all_58_30 = e1
% 174.34/27.65  | | 
% 174.34/27.65  | | COMBINE_EQS: (3), (8) imply:
% 174.34/27.65  | |   (9)  all_52_14 = e1
% 174.34/27.65  | | 
% 174.34/27.65  | | REDUCE: (5), (9) imply:
% 174.34/27.65  | |   (10)  $false
% 174.34/27.65  | | 
% 174.34/27.65  | | CLOSE: (10) is inconsistent.
% 174.34/27.65  | | 
% 174.34/27.65  | Case 2:
% 174.34/27.65  | | 
% 174.34/27.65  | |   (11)  all_58_28 = e3 | all_58_29 = e2
% 174.34/27.65  | | 
% 174.34/27.65  | | BETA: splitting (11) gives:
% 174.34/27.65  | | 
% 174.34/27.65  | | Case 1:
% 174.34/27.65  | | | 
% 174.34/27.65  | | |   (12)  all_58_29 = e2
% 174.34/27.65  | | | 
% 174.34/27.65  | | | REF_CLOSE: (1), (4), (12) are inconsistent by sub-proof #858.
% 174.34/27.65  | | | 
% 174.34/27.65  | | Case 2:
% 174.34/27.65  | | | 
% 174.34/27.65  | | |   (13)  all_58_28 = e3
% 174.34/27.65  | | | 
% 174.34/27.65  | | | REF_CLOSE: (6), (7), (13) are inconsistent by sub-proof #857.
% 174.34/27.65  | | | 
% 174.34/27.65  | | End of split
% 174.34/27.65  | | 
% 174.34/27.65  | End of split
% 174.34/27.65  | 
% 174.34/27.65  End of proof
% 174.34/27.65  
% 174.34/27.65  Sub-proof #857 shows that the following formulas are inconsistent:
% 174.34/27.65  ----------------------------------------------------------------
% 174.34/27.65    (1)  all_58_28 = e3
% 174.34/27.65    (2)  all_58_28 = e0
% 174.34/27.65    (3)   ~ (e3 = e0)
% 174.34/27.65  
% 174.34/27.65  Begin of proof
% 174.34/27.65  | 
% 174.34/27.65  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.65  |   (4)  e3 = e0
% 174.34/27.65  | 
% 174.34/27.65  | SIMP: (4) implies:
% 174.34/27.65  |   (5)  e3 = e0
% 174.34/27.65  | 
% 174.34/27.65  | REDUCE: (3), (5) imply:
% 174.34/27.65  |   (6)  $false
% 174.34/27.65  | 
% 174.34/27.65  | CLOSE: (6) is inconsistent.
% 174.34/27.65  | 
% 174.34/27.65  End of proof
% 174.34/27.65  
% 174.34/27.65  Sub-proof #858 shows that the following formulas are inconsistent:
% 174.34/27.65  ----------------------------------------------------------------
% 174.34/27.65    (1)  all_58_29 = e2
% 174.34/27.65    (2)  all_58_29 = e1
% 174.34/27.65    (3)   ~ (e2 = e1)
% 174.34/27.65  
% 174.34/27.65  Begin of proof
% 174.34/27.65  | 
% 174.34/27.65  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.65  |   (4)  e2 = e1
% 174.34/27.65  | 
% 174.34/27.65  | SIMP: (4) implies:
% 174.34/27.65  |   (5)  e2 = e1
% 174.34/27.65  | 
% 174.34/27.65  | REDUCE: (3), (5) imply:
% 174.34/27.65  |   (6)  $false
% 174.34/27.65  | 
% 174.34/27.65  | CLOSE: (6) is inconsistent.
% 174.34/27.65  | 
% 174.34/27.65  End of proof
% 174.34/27.65  
% 174.34/27.65  Sub-proof #859 shows that the following formulas are inconsistent:
% 174.34/27.65  ----------------------------------------------------------------
% 174.34/27.65    (1)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.34/27.65    (2)   ~ (all_52_12 = all_6_2)
% 174.34/27.65    (3)  op(e3, all_52_4) = all_58_1
% 174.34/27.65    (4)  all_54_1 = all_52_4
% 174.34/27.65    (5)  op(all_10_2, e1) = all_10_1
% 174.34/27.65    (6)   ~ (all_14_2 = e0)
% 174.34/27.65    (7)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.34/27.65    (8)   ~ (all_52_9 = e0)
% 174.34/27.65    (9)  all_58_26 = all_10_2
% 174.34/27.65    (10)   ~ (all_52_4 = all_52_6)
% 174.34/27.65    (11)  all_58_31 = all_14_2
% 174.34/27.65    (12)   ~ (all_52_4 = e0)
% 174.34/27.65    (13)  all_58_18 = e0
% 174.34/27.65    (14)   ~ (all_52_9 = all_10_2)
% 174.34/27.65    (15)  all_58_30 = all_52_14
% 174.34/27.65    (16)  all_58_17 = all_52_1
% 174.34/27.65    (17)  all_58_19 = all_52_3
% 174.34/27.65    (18)   ~ (all_10_2 = e1)
% 174.34/27.65    (19)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.34/27.65    (20)   ~ (all_52_6 = all_10_2)
% 174.34/27.65    (21)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 174.34/27.65    (22)  all_54_9 = all_52_6
% 174.34/27.65    (23)  all_58_16 = all_6_2
% 174.34/27.65    (24)   ~ (all_52_4 = all_6_2)
% 174.34/27.65    (25)   ~ (e3 = e0)
% 174.34/27.65    (26)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 174.34/27.65    (27)   ~ (all_52_6 = all_52_14)
% 174.34/27.65    (28)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 174.34/27.65    (29)  all_54_10 = all_10_2
% 174.34/27.65    (30)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 174.34/27.65    (31)  op(e3, e1) = e0
% 174.34/27.65    (32)   ~ (all_52_1 = all_52_9)
% 174.34/27.65    (33)  all_56_6 = e0
% 174.34/27.65    (34)  all_58_29 = e0
% 174.34/27.65    (35)  all_58_24 = e0
% 174.34/27.65    (36)  all_58_25 = all_52_9
% 174.34/27.65    (37)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.34/27.65            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.34/27.65    (38)   ~ (all_52_3 = e0)
% 174.34/27.65    (39)  all_58_28 = all_52_12
% 174.34/27.65    (40)   ~ (e1 = e0)
% 174.34/27.65    (41)  all_56_7 = all_52_6
% 174.34/27.65    (42)   ~ (all_10_1 = e0)
% 174.34/27.65  
% 174.34/27.65  Begin of proof
% 174.34/27.65  | 
% 174.34/27.65  | BETA: splitting (19) gives:
% 174.34/27.65  | 
% 174.34/27.65  | Case 1:
% 174.34/27.65  | | 
% 174.34/27.65  | |   (43)  all_58_26 = e1
% 174.34/27.65  | | 
% 174.34/27.65  | | REF_CLOSE: (9), (18), (43) are inconsistent by sub-proof #968.
% 174.34/27.65  | | 
% 174.34/27.65  | Case 2:
% 174.34/27.65  | | 
% 174.34/27.65  | |   (44)   ~ (all_58_26 = e1)
% 174.34/27.65  | |   (45)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.65  | | 
% 174.34/27.65  | | BETA: splitting (45) gives:
% 174.34/27.65  | | 
% 174.34/27.65  | | Case 1:
% 174.34/27.65  | | | 
% 174.34/27.65  | | |   (46)  all_58_25 = e2
% 174.34/27.65  | | | 
% 174.34/27.65  | | | COMBINE_EQS: (36), (46) imply:
% 174.34/27.65  | | |   (47)  all_52_9 = e2
% 174.34/27.65  | | | 
% 174.34/27.65  | | | SIMP: (47) implies:
% 174.34/27.65  | | |   (48)  all_52_9 = e2
% 174.34/27.65  | | | 
% 174.34/27.65  | | | REDUCE: (32), (48) imply:
% 174.34/27.65  | | |   (49)   ~ (all_52_1 = e2)
% 174.34/27.65  | | | 
% 174.34/27.65  | | | REDUCE: (14), (48) imply:
% 174.34/27.65  | | |   (50)   ~ (all_10_2 = e2)
% 174.34/27.65  | | | 
% 174.34/27.65  | | | SIMP: (50) implies:
% 174.34/27.65  | | |   (51)   ~ (all_10_2 = e2)
% 174.34/27.65  | | | 
% 174.34/27.65  | | | REDUCE: (8), (48) imply:
% 174.34/27.65  | | |   (52)   ~ (e2 = e0)
% 174.34/27.65  | | | 
% 174.34/27.65  | | | BETA: splitting (28) gives:
% 174.34/27.65  | | | 
% 174.34/27.65  | | | Case 1:
% 174.34/27.65  | | | | 
% 174.34/27.65  | | | |   (53)  all_54_10 = e1
% 174.34/27.65  | | | | 
% 174.34/27.65  | | | | COMBINE_EQS: (29), (53) imply:
% 174.34/27.65  | | | |   (54)  all_10_2 = e1
% 174.34/27.65  | | | | 
% 174.34/27.65  | | | | REDUCE: (18), (54) imply:
% 174.34/27.65  | | | |   (55)  $false
% 174.34/27.65  | | | | 
% 174.34/27.65  | | | | CLOSE: (55) is inconsistent.
% 174.34/27.65  | | | | 
% 174.34/27.65  | | | Case 2:
% 174.34/27.65  | | | | 
% 174.34/27.65  | | | |   (56)  all_54_10 = e3 | all_54_10 = e2
% 174.34/27.65  | | | | 
% 174.34/27.65  | | | | BETA: splitting (56) gives:
% 174.34/27.65  | | | | 
% 174.34/27.65  | | | | Case 1:
% 174.34/27.65  | | | | | 
% 174.34/27.65  | | | | |   (57)  all_54_10 = e2
% 174.34/27.65  | | | | | 
% 174.34/27.65  | | | | | COMBINE_EQS: (29), (57) imply:
% 174.34/27.65  | | | | |   (58)  all_10_2 = e2
% 174.34/27.65  | | | | | 
% 174.34/27.65  | | | | | REDUCE: (51), (58) imply:
% 174.34/27.65  | | | | |   (59)  $false
% 174.34/27.65  | | | | | 
% 174.34/27.65  | | | | | CLOSE: (59) is inconsistent.
% 174.34/27.65  | | | | | 
% 174.34/27.65  | | | | Case 2:
% 174.34/27.65  | | | | | 
% 174.34/27.65  | | | | |   (60)  all_54_10 = e3
% 174.34/27.65  | | | | | 
% 174.34/27.65  | | | | | COMBINE_EQS: (29), (60) imply:
% 174.34/27.65  | | | | |   (61)  all_10_2 = e3
% 174.34/27.65  | | | | | 
% 174.34/27.65  | | | | | REDUCE: (5), (61) imply:
% 174.34/27.65  | | | | |   (62)  op(e3, e1) = all_10_1
% 174.34/27.65  | | | | | 
% 174.34/27.65  | | | | | BETA: splitting (1) gives:
% 174.34/27.65  | | | | | 
% 174.34/27.65  | | | | | Case 1:
% 174.34/27.65  | | | | | | 
% 174.34/27.65  | | | | | |   (63)  all_58_19 = e0
% 174.34/27.65  | | | | | | 
% 174.34/27.65  | | | | | | COMBINE_EQS: (17), (63) imply:
% 174.34/27.65  | | | | | |   (64)  all_52_3 = e0
% 174.34/27.65  | | | | | | 
% 174.34/27.65  | | | | | | REDUCE: (38), (64) imply:
% 174.34/27.65  | | | | | |   (65)  $false
% 174.34/27.65  | | | | | | 
% 174.34/27.65  | | | | | | CLOSE: (65) is inconsistent.
% 174.34/27.65  | | | | | | 
% 174.34/27.65  | | | | | Case 2:
% 174.34/27.65  | | | | | | 
% 174.34/27.65  | | | | | |   (66)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.34/27.65  | | | | | | 
% 174.34/27.65  | | | | | | BETA: splitting (66) gives:
% 174.34/27.65  | | | | | | 
% 174.34/27.65  | | | | | | Case 1:
% 174.34/27.65  | | | | | | | 
% 174.34/27.65  | | | | | | |   (67)  all_58_18 = e1
% 174.34/27.65  | | | | | | | 
% 174.34/27.65  | | | | | | | REF_CLOSE: (13), (40), (67) are inconsistent by sub-proof #888.
% 174.34/27.65  | | | | | | | 
% 174.34/27.65  | | | | | | Case 2:
% 174.34/27.65  | | | | | | | 
% 174.34/27.65  | | | | | | |   (68)  all_58_16 = e3 | all_58_17 = e2
% 174.34/27.65  | | | | | | | 
% 174.34/27.65  | | | | | | | BETA: splitting (68) gives:
% 174.34/27.65  | | | | | | | 
% 174.34/27.65  | | | | | | | Case 1:
% 174.34/27.65  | | | | | | | | 
% 174.34/27.65  | | | | | | | |   (69)  all_58_17 = e2
% 174.34/27.65  | | | | | | | | 
% 174.34/27.65  | | | | | | | | COMBINE_EQS: (16), (69) imply:
% 174.34/27.65  | | | | | | | |   (70)  all_52_1 = e2
% 174.34/27.65  | | | | | | | | 
% 174.34/27.65  | | | | | | | | REDUCE: (49), (70) imply:
% 174.34/27.65  | | | | | | | |   (71)  $false
% 174.34/27.65  | | | | | | | | 
% 174.34/27.65  | | | | | | | | CLOSE: (71) is inconsistent.
% 174.34/27.65  | | | | | | | | 
% 174.34/27.65  | | | | | | | Case 2:
% 174.34/27.65  | | | | | | | | 
% 174.34/27.65  | | | | | | | |   (72)  all_58_16 = e3
% 174.34/27.65  | | | | | | | | 
% 174.34/27.65  | | | | | | | | COMBINE_EQS: (23), (72) imply:
% 174.34/27.65  | | | | | | | |   (73)  all_6_2 = e3
% 174.34/27.65  | | | | | | | | 
% 174.34/27.65  | | | | | | | | REDUCE: (24), (73) imply:
% 174.34/27.65  | | | | | | | |   (74)   ~ (all_52_4 = e3)
% 174.34/27.65  | | | | | | | | 
% 174.34/27.65  | | | | | | | | REDUCE: (2), (73) imply:
% 174.34/27.65  | | | | | | | |   (75)   ~ (all_52_12 = e3)
% 174.34/27.65  | | | | | | | | 
% 174.34/27.65  | | | | | | | | BETA: splitting (7) gives:
% 174.34/27.65  | | | | | | | | 
% 174.34/27.65  | | | | | | | | Case 1:
% 174.34/27.65  | | | | | | | | | 
% 174.34/27.65  | | | | | | | | |   (76)  all_58_31 = e0
% 174.34/27.65  | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | COMBINE_EQS: (11), (76) imply:
% 174.34/27.65  | | | | | | | | |   (77)  all_14_2 = e0
% 174.34/27.65  | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | REDUCE: (6), (77) imply:
% 174.34/27.65  | | | | | | | | |   (78)  $false
% 174.34/27.65  | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | CLOSE: (78) is inconsistent.
% 174.34/27.65  | | | | | | | | | 
% 174.34/27.65  | | | | | | | | Case 2:
% 174.34/27.65  | | | | | | | | | 
% 174.34/27.65  | | | | | | | | |   (79)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.34/27.65  | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | BETA: splitting (79) gives:
% 174.34/27.65  | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | Case 1:
% 174.34/27.65  | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | |   (80)  all_58_30 = e1
% 174.34/27.65  | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | COMBINE_EQS: (15), (80) imply:
% 174.34/27.65  | | | | | | | | | |   (81)  all_52_14 = e1
% 174.34/27.65  | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | REDUCE: (27), (81) imply:
% 174.34/27.65  | | | | | | | | | |   (82)   ~ (all_52_6 = e1)
% 174.34/27.65  | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | BETA: splitting (26) gives:
% 174.34/27.65  | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | Case 1:
% 174.34/27.65  | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | |   (83)  all_56_6 = e2
% 174.34/27.65  | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | | REF_CLOSE: (33), (52), (83) are inconsistent by sub-proof
% 174.34/27.65  | | | | | | | | | | |            #954.
% 174.34/27.65  | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | Case 2:
% 174.34/27.65  | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | |   (84)  all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 174.34/27.65  | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | | BETA: splitting (84) gives:
% 174.34/27.65  | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | | Case 1:
% 174.34/27.65  | | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | | |   (85)  all_56_7 = e2
% 174.34/27.65  | | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | | | COMBINE_EQS: (41), (85) imply:
% 174.34/27.65  | | | | | | | | | | | |   (86)  all_52_6 = e2
% 174.34/27.65  | | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | | | REDUCE: (10), (86) imply:
% 174.34/27.65  | | | | | | | | | | | |   (87)   ~ (all_52_4 = e2)
% 174.34/27.65  | | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | | | BETA: splitting (21) gives:
% 174.34/27.65  | | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | | | Case 1:
% 174.34/27.65  | | | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | | | |   (88)  all_54_1 = e0
% 174.34/27.65  | | | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | | | | REF_CLOSE: (4), (12), (88) are inconsistent by sub-proof
% 174.34/27.65  | | | | | | | | | | | | |            #866.
% 174.34/27.65  | | | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | | | Case 2:
% 174.34/27.65  | | | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | | | |   (89)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1
% 174.34/27.65  | | | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | | | | BETA: splitting (89) gives:
% 174.34/27.65  | | | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | | | | Case 1:
% 174.34/27.65  | | | | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | | | | |   (90)  all_54_1 = e1
% 174.34/27.65  | | | | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | | | | | COMBINE_EQS: (4), (90) imply:
% 174.34/27.65  | | | | | | | | | | | | | |   (91)  all_52_4 = e1
% 174.34/27.65  | | | | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | | | | | SIMP: (91) implies:
% 174.34/27.65  | | | | | | | | | | | | | |   (92)  all_52_4 = e1
% 174.34/27.65  | | | | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | | | | | REDUCE: (3), (92) imply:
% 174.34/27.65  | | | | | | | | | | | | | |   (93)  op(e3, e1) = all_58_1
% 174.34/27.65  | | | | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | | | | | REF_CLOSE: (31), (37), (42), (62), (93) are inconsistent by
% 174.34/27.65  | | | | | | | | | | | | | |            sub-proof #865.
% 174.34/27.65  | | | | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | | | | Case 2:
% 174.34/27.65  | | | | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | | | | |   (94)  all_54_1 = e3 | all_54_1 = e2
% 174.34/27.65  | | | | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | | | | | REF_CLOSE: (4), (74), (87), (94) are inconsistent by
% 174.34/27.65  | | | | | | | | | | | | | |            sub-proof #863.
% 174.34/27.65  | | | | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | | | | End of split
% 174.34/27.65  | | | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | | | End of split
% 174.34/27.65  | | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | | Case 2:
% 174.34/27.65  | | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | | |   (95)   ~ (all_56_7 = e2)
% 174.34/27.65  | | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | | | REDUCE: (41), (95) imply:
% 174.34/27.65  | | | | | | | | | | | |   (96)   ~ (all_52_6 = e2)
% 174.34/27.65  | | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | | | REF_CLOSE: (20), (22), (29), (30), (51), (56), (82), (96) are
% 174.34/27.65  | | | | | | | | | | | |            inconsistent by sub-proof #860.
% 174.34/27.65  | | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | | End of split
% 174.34/27.65  | | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | End of split
% 174.34/27.65  | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | Case 2:
% 174.34/27.65  | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | |   (97)  all_58_28 = e3 | all_58_29 = e2
% 174.34/27.65  | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | | REF_CLOSE: (34), (39), (52), (75), (97) are inconsistent by
% 174.34/27.65  | | | | | | | | | |            sub-proof #869.
% 174.34/27.65  | | | | | | | | | | 
% 174.34/27.65  | | | | | | | | | End of split
% 174.34/27.65  | | | | | | | | | 
% 174.34/27.65  | | | | | | | | End of split
% 174.34/27.65  | | | | | | | | 
% 174.34/27.65  | | | | | | | End of split
% 174.34/27.65  | | | | | | | 
% 174.34/27.65  | | | | | | End of split
% 174.34/27.65  | | | | | | 
% 174.34/27.65  | | | | | End of split
% 174.34/27.65  | | | | | 
% 174.34/27.65  | | | | End of split
% 174.34/27.65  | | | | 
% 174.34/27.65  | | | End of split
% 174.34/27.65  | | | 
% 174.34/27.65  | | Case 2:
% 174.34/27.65  | | | 
% 174.34/27.65  | | |   (98)  all_58_24 = e3
% 174.34/27.65  | | | 
% 174.34/27.65  | | | REF_CLOSE: (25), (35), (98) are inconsistent by sub-proof #926.
% 174.34/27.65  | | | 
% 174.34/27.65  | | End of split
% 174.34/27.65  | | 
% 174.34/27.65  | End of split
% 174.34/27.65  | 
% 174.34/27.65  End of proof
% 174.34/27.65  
% 174.34/27.65  Sub-proof #860 shows that the following formulas are inconsistent:
% 174.34/27.65  ----------------------------------------------------------------
% 174.34/27.65    (1)   ~ (all_52_6 = e1)
% 174.34/27.65    (2)   ~ (all_10_2 = e2)
% 174.34/27.65    (3)   ~ (all_52_6 = all_10_2)
% 174.34/27.65    (4)  all_54_9 = all_52_6
% 174.34/27.65    (5)  all_54_10 = all_10_2
% 174.34/27.65    (6)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 174.34/27.65    (7)  all_54_10 = e3 | all_54_10 = e2
% 174.34/27.65    (8)   ~ (all_52_6 = e2)
% 174.34/27.65  
% 174.34/27.65  Begin of proof
% 174.34/27.65  | 
% 174.34/27.65  | BETA: splitting (7) gives:
% 174.34/27.65  | 
% 174.34/27.65  | Case 1:
% 174.34/27.65  | | 
% 174.34/27.65  | |   (9)  all_54_10 = e2
% 174.34/27.65  | | 
% 174.34/27.65  | | REF_CLOSE: (2), (5), (9) are inconsistent by sub-proof #930.
% 174.34/27.65  | | 
% 174.34/27.65  | Case 2:
% 174.34/27.65  | | 
% 174.34/27.65  | |   (10)  all_54_10 = e3
% 174.34/27.65  | | 
% 174.34/27.65  | | COMBINE_EQS: (5), (10) imply:
% 174.34/27.65  | |   (11)  all_10_2 = e3
% 174.34/27.65  | | 
% 174.34/27.65  | | SIMP: (11) implies:
% 174.34/27.65  | |   (12)  all_10_2 = e3
% 174.34/27.65  | | 
% 174.34/27.65  | | REDUCE: (3), (12) imply:
% 174.34/27.65  | |   (13)   ~ (all_52_6 = e3)
% 174.34/27.65  | | 
% 174.34/27.65  | | REF_CLOSE: (1), (4), (6), (8), (13) are inconsistent by sub-proof #861.
% 174.34/27.65  | | 
% 174.34/27.65  | End of split
% 174.34/27.65  | 
% 174.34/27.65  End of proof
% 174.34/27.65  
% 174.34/27.65  Sub-proof #861 shows that the following formulas are inconsistent:
% 174.34/27.65  ----------------------------------------------------------------
% 174.34/27.65    (1)   ~ (all_52_6 = e1)
% 174.34/27.65    (2)  all_54_9 = all_52_6
% 174.34/27.65    (3)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 174.34/27.65    (4)   ~ (all_52_6 = e3)
% 174.34/27.65    (5)   ~ (all_52_6 = e2)
% 174.34/27.65  
% 174.34/27.65  Begin of proof
% 174.34/27.65  | 
% 174.34/27.65  | BETA: splitting (3) gives:
% 174.34/27.65  | 
% 174.34/27.65  | Case 1:
% 174.34/27.65  | | 
% 174.34/27.65  | |   (6)  all_54_9 = e1
% 174.34/27.65  | | 
% 174.34/27.65  | | REF_CLOSE: (1), (2), (6) are inconsistent by sub-proof #900.
% 174.34/27.65  | | 
% 174.34/27.65  | Case 2:
% 174.34/27.65  | | 
% 174.34/27.65  | |   (7)  all_54_9 = e3 | all_54_9 = e2
% 174.34/27.65  | | 
% 174.34/27.65  | | BETA: splitting (7) gives:
% 174.34/27.65  | | 
% 174.34/27.65  | | Case 1:
% 174.34/27.65  | | | 
% 174.34/27.65  | | |   (8)  all_54_9 = e2
% 174.34/27.65  | | | 
% 174.34/27.65  | | | REF_CLOSE: (2), (5), (8) are inconsistent by sub-proof #899.
% 174.34/27.65  | | | 
% 174.34/27.65  | | Case 2:
% 174.34/27.65  | | | 
% 174.34/27.65  | | |   (9)  all_54_9 = e3
% 174.34/27.65  | | | 
% 174.34/27.65  | | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #862.
% 174.34/27.65  | | | 
% 174.34/27.65  | | End of split
% 174.34/27.65  | | 
% 174.34/27.65  | End of split
% 174.34/27.65  | 
% 174.34/27.65  End of proof
% 174.34/27.65  
% 174.34/27.65  Sub-proof #862 shows that the following formulas are inconsistent:
% 174.34/27.65  ----------------------------------------------------------------
% 174.34/27.65    (1)  all_54_9 = all_52_6
% 174.34/27.65    (2)  all_54_9 = e3
% 174.34/27.65    (3)   ~ (all_52_6 = e3)
% 174.34/27.65  
% 174.34/27.65  Begin of proof
% 174.34/27.65  | 
% 174.34/27.65  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.65  |   (4)  all_52_6 = e3
% 174.34/27.65  | 
% 174.34/27.65  | SIMP: (4) implies:
% 174.34/27.65  |   (5)  all_52_6 = e3
% 174.34/27.65  | 
% 174.34/27.65  | REDUCE: (3), (5) imply:
% 174.34/27.65  |   (6)  $false
% 174.34/27.65  | 
% 174.34/27.65  | CLOSE: (6) is inconsistent.
% 174.34/27.65  | 
% 174.34/27.65  End of proof
% 174.34/27.65  
% 174.34/27.65  Sub-proof #863 shows that the following formulas are inconsistent:
% 174.34/27.65  ----------------------------------------------------------------
% 174.34/27.65    (1)  all_54_1 = e3 | all_54_1 = e2
% 174.34/27.65    (2)  all_54_1 = all_52_4
% 174.34/27.65    (3)   ~ (all_52_4 = e2)
% 174.34/27.65    (4)   ~ (all_52_4 = e3)
% 174.34/27.65  
% 174.34/27.65  Begin of proof
% 174.34/27.65  | 
% 174.34/27.65  | BETA: splitting (1) gives:
% 174.34/27.65  | 
% 174.34/27.65  | Case 1:
% 174.34/27.65  | | 
% 174.34/27.65  | |   (5)  all_54_1 = e2
% 174.34/27.65  | | 
% 174.34/27.65  | | COMBINE_EQS: (2), (5) imply:
% 174.34/27.65  | |   (6)  all_52_4 = e2
% 174.34/27.65  | | 
% 174.34/27.65  | | SIMP: (6) implies:
% 174.34/27.65  | |   (7)  all_52_4 = e2
% 174.34/27.65  | | 
% 174.34/27.65  | | REDUCE: (3), (7) imply:
% 174.34/27.65  | |   (8)  $false
% 174.34/27.65  | | 
% 174.34/27.65  | | CLOSE: (8) is inconsistent.
% 174.34/27.65  | | 
% 174.34/27.65  | Case 2:
% 174.34/27.65  | | 
% 174.34/27.65  | |   (9)  all_54_1 = e3
% 174.34/27.65  | | 
% 174.34/27.65  | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #864.
% 174.34/27.65  | | 
% 174.34/27.65  | End of split
% 174.34/27.65  | 
% 174.34/27.65  End of proof
% 174.34/27.65  
% 174.34/27.65  Sub-proof #864 shows that the following formulas are inconsistent:
% 174.34/27.65  ----------------------------------------------------------------
% 174.34/27.65    (1)  all_54_1 = all_52_4
% 174.34/27.65    (2)  all_54_1 = e3
% 174.34/27.65    (3)   ~ (all_52_4 = e3)
% 174.34/27.65  
% 174.34/27.65  Begin of proof
% 174.34/27.65  | 
% 174.34/27.65  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.65  |   (4)  all_52_4 = e3
% 174.34/27.65  | 
% 174.34/27.65  | SIMP: (4) implies:
% 174.34/27.65  |   (5)  all_52_4 = e3
% 174.34/27.65  | 
% 174.34/27.65  | REDUCE: (3), (5) imply:
% 174.34/27.65  |   (6)  $false
% 174.34/27.65  | 
% 174.34/27.65  | CLOSE: (6) is inconsistent.
% 174.34/27.65  | 
% 174.34/27.65  End of proof
% 174.34/27.65  
% 174.34/27.65  Sub-proof #865 shows that the following formulas are inconsistent:
% 174.34/27.65  ----------------------------------------------------------------
% 174.34/27.65    (1)  op(e3, e1) = all_10_1
% 174.34/27.65    (2)  op(e3, e1) = all_58_1
% 174.34/27.65    (3)  op(e3, e1) = e0
% 174.34/27.65    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.34/27.65           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.34/27.65    (5)   ~ (all_10_1 = e0)
% 174.34/27.65  
% 174.34/27.65  Begin of proof
% 174.34/27.65  | 
% 174.34/27.65  | GROUND_INST: instantiating (4) with e0, all_58_1, e1, e3, simplifying with
% 174.34/27.65  |              (2), (3) gives:
% 174.34/27.65  |   (6)  all_58_1 = e0
% 174.34/27.65  | 
% 174.34/27.65  | GROUND_INST: instantiating (4) with all_10_1, all_58_1, e1, e3, simplifying
% 174.34/27.65  |              with (1), (2) gives:
% 174.34/27.65  |   (7)  all_58_1 = all_10_1
% 174.34/27.65  | 
% 174.34/27.65  | COMBINE_EQS: (6), (7) imply:
% 174.34/27.65  |   (8)  all_10_1 = e0
% 174.34/27.65  | 
% 174.34/27.65  | REDUCE: (5), (8) imply:
% 174.34/27.65  |   (9)  $false
% 174.34/27.65  | 
% 174.34/27.65  | CLOSE: (9) is inconsistent.
% 174.34/27.65  | 
% 174.34/27.65  End of proof
% 174.34/27.65  
% 174.34/27.65  Sub-proof #866 shows that the following formulas are inconsistent:
% 174.34/27.65  ----------------------------------------------------------------
% 174.34/27.65    (1)  all_54_1 = all_52_4
% 174.34/27.65    (2)  all_54_1 = e0
% 174.34/27.65    (3)   ~ (all_52_4 = e0)
% 174.34/27.65  
% 174.34/27.65  Begin of proof
% 174.34/27.65  | 
% 174.34/27.65  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.65  |   (4)  all_52_4 = e0
% 174.34/27.65  | 
% 174.34/27.65  | SIMP: (4) implies:
% 174.34/27.65  |   (5)  all_52_4 = e0
% 174.34/27.65  | 
% 174.34/27.65  | REDUCE: (3), (5) imply:
% 174.34/27.65  |   (6)  $false
% 174.34/27.65  | 
% 174.34/27.65  | CLOSE: (6) is inconsistent.
% 174.34/27.65  | 
% 174.34/27.65  End of proof
% 174.34/27.65  
% 174.34/27.65  Sub-proof #867 shows that the following formulas are inconsistent:
% 174.34/27.65  ----------------------------------------------------------------
% 174.34/27.65    (1)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.34/27.65    (2)   ~ (all_52_12 = all_6_2)
% 174.34/27.65    (3)   ~ (all_14_2 = e0)
% 174.34/27.65    (4)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.34/27.65    (5)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 174.34/27.65    (6)  all_58_26 = all_10_2
% 174.34/27.65    (7)  all_58_31 = all_14_2
% 174.34/27.65    (8)  all_58_18 = e0
% 174.34/27.65    (9)   ~ (all_52_1 = all_6_2)
% 174.34/27.65    (10)  all_56_0 = all_6_2
% 174.34/27.65    (11)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.34/27.65    (12)  all_58_30 = all_52_14
% 174.34/27.65    (13)  all_58_27 = all_52_11
% 174.34/27.65    (14)  all_58_17 = all_52_1
% 174.34/27.65    (15)  all_58_19 = all_52_3
% 174.34/27.65    (16)   ~ (e3 = e2)
% 174.34/27.65    (17)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.34/27.65    (18)   ~ (all_6_2 = e1)
% 174.34/27.65    (19)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.34/27.65    (20)  all_58_16 = all_6_2
% 174.34/27.65    (21)   ~ (all_6_2 = e0)
% 174.34/27.66    (22)   ~ (all_52_1 = e1)
% 174.34/27.66    (23)   ~ (all_52_1 = all_52_9)
% 174.34/27.66    (24)  all_54_0 = all_6_2
% 174.34/27.66    (25)  all_58_29 = e0
% 174.34/27.66    (26)   ~ (all_52_14 = all_10_2)
% 174.34/27.66    (27)  all_58_24 = e0
% 174.34/27.66    (28)   ~ (all_52_11 = e0)
% 174.34/27.66    (29)   ~ (all_52_1 = e0)
% 174.34/27.66    (30)  all_58_25 = all_52_9
% 174.34/27.66    (31)   ~ (all_52_3 = e0)
% 174.34/27.66    (32)  all_58_28 = all_52_12
% 174.34/27.66    (33)   ~ (e1 = e0)
% 174.34/27.66    (34)  all_54_4 = all_52_1
% 174.34/27.66  
% 174.34/27.66  Begin of proof
% 174.34/27.66  | 
% 174.34/27.66  | BETA: splitting (19) gives:
% 174.34/27.66  | 
% 174.34/27.66  | Case 1:
% 174.34/27.66  | | 
% 174.34/27.66  | |   (35)  all_56_0 = e2
% 174.34/27.66  | | 
% 174.34/27.66  | | REF_CLOSE: (1), (8), (9), (10), (14), (15), (16), (20), (31), (33), (35) are
% 174.34/27.66  | |            inconsistent by sub-proof #907.
% 174.34/27.66  | | 
% 174.34/27.66  | Case 2:
% 174.34/27.66  | | 
% 174.34/27.66  | |   (36)   ~ (all_56_0 = e2)
% 174.34/27.66  | | 
% 174.34/27.66  | | REDUCE: (10), (36) imply:
% 174.34/27.66  | |   (37)   ~ (all_6_2 = e2)
% 174.34/27.66  | | 
% 174.34/27.66  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (11), (12), (13), (17), (18),
% 174.34/27.66  | |            (21), (22), (23), (24), (25), (26), (27), (28), (29), (30), (32),
% 174.34/27.66  | |            (34), (37) are inconsistent by sub-proof #868.
% 174.34/27.66  | | 
% 174.34/27.66  | End of split
% 174.34/27.66  | 
% 174.34/27.66  End of proof
% 174.34/27.66  
% 174.34/27.66  Sub-proof #868 shows that the following formulas are inconsistent:
% 174.34/27.66  ----------------------------------------------------------------
% 174.34/27.66    (1)   ~ (all_52_12 = all_6_2)
% 174.34/27.66    (2)   ~ (all_14_2 = e0)
% 174.34/27.66    (3)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.34/27.66    (4)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 174.34/27.66    (5)  all_58_26 = all_10_2
% 174.34/27.66    (6)  all_58_31 = all_14_2
% 174.34/27.66    (7)   ~ (all_52_1 = all_6_2)
% 174.34/27.66    (8)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.34/27.66    (9)  all_58_30 = all_52_14
% 174.34/27.66    (10)  all_58_27 = all_52_11
% 174.34/27.66    (11)   ~ (all_6_2 = e2)
% 174.34/27.66    (12)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.34/27.66    (13)   ~ (all_6_2 = e1)
% 174.34/27.66    (14)   ~ (all_6_2 = e0)
% 174.34/27.66    (15)   ~ (all_52_1 = e1)
% 174.34/27.66    (16)   ~ (all_52_1 = all_52_9)
% 174.34/27.66    (17)  all_54_0 = all_6_2
% 174.34/27.66    (18)  all_58_29 = e0
% 174.34/27.66    (19)   ~ (all_52_14 = all_10_2)
% 174.34/27.66    (20)  all_58_24 = e0
% 174.34/27.66    (21)   ~ (all_52_11 = e0)
% 174.34/27.66    (22)   ~ (all_52_1 = e0)
% 174.34/27.66    (23)  all_58_25 = all_52_9
% 174.34/27.66    (24)  all_58_28 = all_52_12
% 174.34/27.66    (25)  all_54_4 = all_52_1
% 174.34/27.66  
% 174.34/27.66  Begin of proof
% 174.34/27.66  | 
% 174.34/27.66  | BETA: splitting (12) gives:
% 174.34/27.66  | 
% 174.34/27.66  | Case 1:
% 174.34/27.66  | | 
% 174.34/27.66  | |   (26)  all_54_0 = e1
% 174.34/27.66  | | 
% 174.34/27.66  | | REF_CLOSE: (13), (17), (26) are inconsistent by sub-proof #951.
% 174.34/27.66  | | 
% 174.34/27.66  | Case 2:
% 174.34/27.66  | | 
% 174.34/27.66  | |   (27)  all_54_0 = e3 | all_54_0 = e2
% 174.34/27.66  | | 
% 174.34/27.66  | | BETA: splitting (27) gives:
% 174.34/27.66  | | 
% 174.34/27.66  | | Case 1:
% 174.34/27.66  | | | 
% 174.34/27.66  | | |   (28)  all_54_0 = e2
% 174.34/27.66  | | | 
% 174.34/27.66  | | | REF_CLOSE: (11), (17), (28) are inconsistent by sub-proof #946.
% 174.34/27.66  | | | 
% 174.34/27.66  | | Case 2:
% 174.34/27.66  | | | 
% 174.34/27.66  | | |   (29)  all_54_0 = e3
% 174.34/27.66  | | | 
% 174.34/27.66  | | | COMBINE_EQS: (17), (29) imply:
% 174.34/27.66  | | |   (30)  all_6_2 = e3
% 174.34/27.66  | | | 
% 174.34/27.66  | | | SIMP: (30) implies:
% 174.34/27.66  | | |   (31)  all_6_2 = e3
% 174.34/27.66  | | | 
% 174.34/27.66  | | | REDUCE: (7), (31) imply:
% 174.34/27.66  | | |   (32)   ~ (all_52_1 = e3)
% 174.34/27.66  | | | 
% 174.34/27.66  | | | REDUCE: (1), (31) imply:
% 174.34/27.66  | | |   (33)   ~ (all_52_12 = e3)
% 174.34/27.66  | | | 
% 174.34/27.66  | | | REDUCE: (14), (31) imply:
% 174.34/27.66  | | |   (34)   ~ (e3 = e0)
% 174.34/27.66  | | | 
% 174.34/27.66  | | | BETA: splitting (4) gives:
% 174.34/27.66  | | | 
% 174.34/27.66  | | | Case 1:
% 174.34/27.66  | | | | 
% 174.34/27.66  | | | |   (35)  all_54_4 = e1
% 174.34/27.66  | | | | 
% 174.34/27.66  | | | | REF_CLOSE: (15), (25), (35) are inconsistent by sub-proof #872.
% 174.34/27.66  | | | | 
% 174.34/27.66  | | | Case 2:
% 174.34/27.66  | | | | 
% 174.34/27.66  | | | |   (36)  all_54_4 = e3 | all_54_4 = e2
% 174.34/27.66  | | | | 
% 174.34/27.66  | | | | BETA: splitting (36) gives:
% 174.34/27.66  | | | | 
% 174.34/27.66  | | | | Case 1:
% 174.34/27.66  | | | | | 
% 174.34/27.66  | | | | |   (37)  all_54_4 = e2
% 174.34/27.66  | | | | | 
% 174.34/27.66  | | | | | COMBINE_EQS: (25), (37) imply:
% 174.34/27.66  | | | | |   (38)  all_52_1 = e2
% 174.34/27.66  | | | | | 
% 174.34/27.66  | | | | | SIMP: (38) implies:
% 174.34/27.66  | | | | |   (39)  all_52_1 = e2
% 174.34/27.66  | | | | | 
% 174.34/27.66  | | | | | REDUCE: (16), (39) imply:
% 174.34/27.66  | | | | |   (40)   ~ (all_52_9 = e2)
% 174.34/27.66  | | | | | 
% 174.34/27.66  | | | | | SIMP: (40) implies:
% 174.34/27.66  | | | | |   (41)   ~ (all_52_9 = e2)
% 174.34/27.66  | | | | | 
% 174.34/27.66  | | | | | REDUCE: (22), (39) imply:
% 174.34/27.66  | | | | |   (42)   ~ (e2 = e0)
% 174.34/27.66  | | | | | 
% 174.34/27.66  | | | | | BETA: splitting (3) gives:
% 174.34/27.66  | | | | | 
% 174.34/27.66  | | | | | Case 1:
% 174.34/27.66  | | | | | | 
% 174.34/27.66  | | | | | |   (43)  all_58_31 = e0
% 174.34/27.66  | | | | | | 
% 174.34/27.66  | | | | | | COMBINE_EQS: (6), (43) imply:
% 174.34/27.66  | | | | | |   (44)  all_14_2 = e0
% 174.34/27.66  | | | | | | 
% 174.34/27.66  | | | | | | REDUCE: (2), (44) imply:
% 174.34/27.66  | | | | | |   (45)  $false
% 174.34/27.66  | | | | | | 
% 174.34/27.66  | | | | | | CLOSE: (45) is inconsistent.
% 174.34/27.66  | | | | | | 
% 174.34/27.66  | | | | | Case 2:
% 174.34/27.66  | | | | | | 
% 174.34/27.66  | | | | | |   (46)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.34/27.66  | | | | | | 
% 174.34/27.66  | | | | | | BETA: splitting (46) gives:
% 174.34/27.66  | | | | | | 
% 174.34/27.66  | | | | | | Case 1:
% 174.34/27.66  | | | | | | | 
% 174.34/27.66  | | | | | | |   (47)  all_58_30 = e1
% 174.34/27.66  | | | | | | | 
% 174.34/27.66  | | | | | | | COMBINE_EQS: (9), (47) imply:
% 174.34/27.66  | | | | | | |   (48)  all_52_14 = e1
% 174.34/27.66  | | | | | | | 
% 174.34/27.66  | | | | | | | REDUCE: (19), (48) imply:
% 174.34/27.66  | | | | | | |   (49)   ~ (all_10_2 = e1)
% 174.34/27.66  | | | | | | | 
% 174.34/27.66  | | | | | | | SIMP: (49) implies:
% 174.34/27.66  | | | | | | |   (50)   ~ (all_10_2 = e1)
% 174.34/27.66  | | | | | | | 
% 174.34/27.66  | | | | | | | BETA: splitting (8) gives:
% 174.34/27.66  | | | | | | | 
% 174.34/27.66  | | | | | | | Case 1:
% 174.34/27.66  | | | | | | | | 
% 174.34/27.66  | | | | | | | |   (51)  all_58_27 = e0
% 174.34/27.66  | | | | | | | | 
% 174.34/27.66  | | | | | | | | COMBINE_EQS: (10), (51) imply:
% 174.34/27.66  | | | | | | | |   (52)  all_52_11 = e0
% 174.34/27.66  | | | | | | | | 
% 174.34/27.66  | | | | | | | | REDUCE: (21), (52) imply:
% 174.34/27.66  | | | | | | | |   (53)  $false
% 174.34/27.66  | | | | | | | | 
% 174.34/27.66  | | | | | | | | CLOSE: (53) is inconsistent.
% 174.34/27.66  | | | | | | | | 
% 174.34/27.66  | | | | | | | Case 2:
% 174.34/27.66  | | | | | | | | 
% 174.34/27.66  | | | | | | | |   (54)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.34/27.66  | | | | | | | | 
% 174.34/27.66  | | | | | | | | REF_CLOSE: (5), (20), (23), (34), (41), (50), (54) are
% 174.34/27.66  | | | | | | | |            inconsistent by sub-proof #871.
% 174.34/27.66  | | | | | | | | 
% 174.34/27.66  | | | | | | | End of split
% 174.34/27.66  | | | | | | | 
% 174.34/27.66  | | | | | | Case 2:
% 174.34/27.66  | | | | | | | 
% 174.34/27.66  | | | | | | |   (55)  all_58_28 = e3 | all_58_29 = e2
% 174.34/27.66  | | | | | | | 
% 174.34/27.66  | | | | | | | REF_CLOSE: (18), (24), (33), (42), (55) are inconsistent by
% 174.34/27.66  | | | | | | |            sub-proof #869.
% 174.34/27.66  | | | | | | | 
% 174.34/27.66  | | | | | | End of split
% 174.34/27.66  | | | | | | 
% 174.34/27.66  | | | | | End of split
% 174.34/27.66  | | | | | 
% 174.34/27.66  | | | | Case 2:
% 174.34/27.66  | | | | | 
% 174.34/27.66  | | | | |   (56)  all_54_4 = e3
% 174.34/27.66  | | | | | 
% 174.34/27.66  | | | | | REF_CLOSE: (25), (32), (56) are inconsistent by sub-proof #881.
% 174.34/27.66  | | | | | 
% 174.34/27.66  | | | | End of split
% 174.34/27.66  | | | | 
% 174.34/27.66  | | | End of split
% 174.34/27.66  | | | 
% 174.34/27.66  | | End of split
% 174.34/27.66  | | 
% 174.34/27.66  | End of split
% 174.34/27.66  | 
% 174.34/27.66  End of proof
% 174.34/27.66  
% 174.34/27.66  Sub-proof #869 shows that the following formulas are inconsistent:
% 174.34/27.66  ----------------------------------------------------------------
% 174.34/27.66    (1)   ~ (all_52_12 = e3)
% 174.34/27.66    (2)  all_58_28 = e3 | all_58_29 = e2
% 174.34/27.66    (3)  all_58_29 = e0
% 174.34/27.66    (4)   ~ (e2 = e0)
% 174.34/27.66    (5)  all_58_28 = all_52_12
% 174.34/27.66  
% 174.34/27.66  Begin of proof
% 174.34/27.66  | 
% 174.34/27.66  | BETA: splitting (2) gives:
% 174.34/27.66  | 
% 174.34/27.66  | Case 1:
% 174.34/27.66  | | 
% 174.34/27.66  | |   (6)  all_58_29 = e2
% 174.34/27.66  | | 
% 174.34/27.66  | | COMBINE_EQS: (3), (6) imply:
% 174.34/27.66  | |   (7)  e2 = e0
% 174.34/27.66  | | 
% 174.34/27.66  | | REDUCE: (4), (7) imply:
% 174.34/27.66  | |   (8)  $false
% 174.34/27.66  | | 
% 174.34/27.66  | | CLOSE: (8) is inconsistent.
% 174.34/27.66  | | 
% 174.34/27.66  | Case 2:
% 174.34/27.66  | | 
% 174.34/27.66  | |   (9)  all_58_28 = e3
% 174.34/27.66  | | 
% 174.34/27.66  | | REF_CLOSE: (1), (5), (9) are inconsistent by sub-proof #870.
% 174.34/27.66  | | 
% 174.34/27.66  | End of split
% 174.34/27.66  | 
% 174.34/27.66  End of proof
% 174.34/27.66  
% 174.34/27.66  Sub-proof #870 shows that the following formulas are inconsistent:
% 174.34/27.66  ----------------------------------------------------------------
% 174.34/27.66    (1)  all_58_28 = all_52_12
% 174.34/27.66    (2)  all_58_28 = e3
% 174.34/27.66    (3)   ~ (all_52_12 = e3)
% 174.34/27.66  
% 174.34/27.66  Begin of proof
% 174.34/27.66  | 
% 174.34/27.66  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.66  |   (4)  all_52_12 = e3
% 174.34/27.66  | 
% 174.34/27.66  | SIMP: (4) implies:
% 174.34/27.66  |   (5)  all_52_12 = e3
% 174.34/27.66  | 
% 174.34/27.66  | REDUCE: (3), (5) imply:
% 174.34/27.66  |   (6)  $false
% 174.34/27.66  | 
% 174.34/27.66  | CLOSE: (6) is inconsistent.
% 174.34/27.66  | 
% 174.34/27.66  End of proof
% 174.34/27.66  
% 174.34/27.66  Sub-proof #871 shows that the following formulas are inconsistent:
% 174.34/27.66  ----------------------------------------------------------------
% 174.34/27.66    (1)  all_58_26 = all_10_2
% 174.34/27.66    (2)   ~ (all_10_2 = e1)
% 174.34/27.66    (3)   ~ (all_52_9 = e2)
% 174.34/27.66    (4)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.34/27.66    (5)   ~ (e3 = e0)
% 174.34/27.66    (6)  all_58_24 = e0
% 174.34/27.66    (7)  all_58_25 = all_52_9
% 174.34/27.66  
% 174.34/27.66  Begin of proof
% 174.34/27.66  | 
% 174.34/27.66  | BETA: splitting (4) gives:
% 174.34/27.66  | 
% 174.34/27.66  | Case 1:
% 174.34/27.66  | | 
% 174.34/27.66  | |   (8)  all_58_26 = e1
% 174.34/27.66  | | 
% 174.34/27.66  | | COMBINE_EQS: (1), (8) imply:
% 174.34/27.66  | |   (9)  all_10_2 = e1
% 174.34/27.66  | | 
% 174.34/27.66  | | REDUCE: (2), (9) imply:
% 174.34/27.66  | |   (10)  $false
% 174.34/27.66  | | 
% 174.34/27.66  | | CLOSE: (10) is inconsistent.
% 174.34/27.66  | | 
% 174.34/27.66  | Case 2:
% 174.34/27.66  | | 
% 174.34/27.66  | |   (11)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.66  | | 
% 174.34/27.66  | | REF_CLOSE: (3), (5), (6), (7), (11) are inconsistent by sub-proof #921.
% 174.34/27.66  | | 
% 174.34/27.66  | End of split
% 174.34/27.66  | 
% 174.34/27.66  End of proof
% 174.34/27.66  
% 174.34/27.66  Sub-proof #872 shows that the following formulas are inconsistent:
% 174.34/27.66  ----------------------------------------------------------------
% 174.34/27.66    (1)  all_54_4 = all_52_1
% 174.34/27.66    (2)  all_54_4 = e1
% 174.34/27.66    (3)   ~ (all_52_1 = e1)
% 174.34/27.66  
% 174.34/27.66  Begin of proof
% 174.34/27.66  | 
% 174.34/27.66  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.66  |   (4)  all_52_1 = e1
% 174.34/27.66  | 
% 174.34/27.66  | SIMP: (4) implies:
% 174.34/27.66  |   (5)  all_52_1 = e1
% 174.34/27.66  | 
% 174.34/27.66  | REDUCE: (3), (5) imply:
% 174.34/27.66  |   (6)  $false
% 174.34/27.66  | 
% 174.34/27.66  | CLOSE: (6) is inconsistent.
% 174.34/27.66  | 
% 174.34/27.66  End of proof
% 174.34/27.66  
% 174.34/27.66  Sub-proof #873 shows that the following formulas are inconsistent:
% 174.34/27.66  ----------------------------------------------------------------
% 174.34/27.66    (1)  all_56_11 = all_52_14
% 174.34/27.66    (2)  all_56_11 = e0
% 174.34/27.66    (3)   ~ (all_52_14 = e0)
% 174.34/27.66  
% 174.34/27.66  Begin of proof
% 174.34/27.66  | 
% 174.34/27.66  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.66  |   (4)  all_52_14 = e0
% 174.34/27.66  | 
% 174.34/27.66  | SIMP: (4) implies:
% 174.34/27.66  |   (5)  all_52_14 = e0
% 174.34/27.66  | 
% 174.34/27.66  | REDUCE: (3), (5) imply:
% 174.34/27.66  |   (6)  $false
% 174.34/27.66  | 
% 174.34/27.66  | CLOSE: (6) is inconsistent.
% 174.34/27.66  | 
% 174.34/27.66  End of proof
% 174.34/27.66  
% 174.34/27.66  Sub-proof #874 shows that the following formulas are inconsistent:
% 174.34/27.66  ----------------------------------------------------------------
% 174.34/27.66    (1)  op(e3, all_52_12) = all_58_3
% 174.34/27.66    (2)  all_58_23 = all_52_7
% 174.34/27.66    (3)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.34/27.66    (4)  all_54_3 = all_52_12
% 174.34/27.66    (5)  all_56_5 = all_52_9
% 174.34/27.66    (6)   ~ (all_52_12 = all_6_2)
% 174.34/27.66    (7)   ~ (all_52_6 = all_4_2)
% 174.34/27.66    (8)   ~ (all_14_2 = e1)
% 174.34/27.66    (9)  all_56_15 = all_14_2
% 174.34/27.66    (10)  op(all_10_2, e1) = all_10_1
% 174.34/27.66    (11)   ~ (all_14_2 = e0)
% 174.34/27.66    (12)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 174.34/27.66    (13)   ~ (all_52_9 = all_4_2)
% 174.34/27.66    (14)  all_54_6 = all_52_9
% 174.34/27.66    (15)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 174.34/27.66    (16)  all_56_8 = all_10_2
% 174.34/27.66    (17)  op(e2, all_52_1) = all_58_4
% 174.34/27.66    (18)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1 | all_58_31 = e0
% 174.34/27.66    (19)  all_56_14 = e0
% 174.34/27.66    (20)   ~ (all_52_9 = e0)
% 174.34/27.66    (21)  all_58_31 = all_14_2
% 174.34/27.66    (22)  all_58_18 = e0
% 174.34/27.66    (23)   ~ (all_52_1 = all_6_2)
% 174.34/27.66    (24)  all_56_11 = all_52_14
% 174.34/27.66    (25)  op(e2, e1) = all_52_9
% 174.34/27.66    (26)   ~ (all_52_6 = all_52_7)
% 174.34/27.66    (27)   ~ (all_4_1 = e0)
% 174.34/27.66    (28)  all_56_0 = all_6_2
% 174.34/27.66    (29)  all_58_30 = all_52_14
% 174.34/27.66    (30)  op(all_4_2, e2) = all_4_1
% 174.34/27.66    (31)  all_56_9 = e2 | all_56_10 = e2 | all_56_11 = e2 | all_56_15 = e2
% 174.34/27.66    (32)  all_58_17 = all_52_1
% 174.34/27.66    (33)  all_58_20 = e0
% 174.34/27.66    (34)  all_58_19 = all_52_3
% 174.34/27.66    (35)  all_56_9 = all_52_12
% 174.34/27.66    (36)   ~ (e3 = e2)
% 174.34/27.66    (37)   ~ (e2 = e1)
% 174.34/27.66    (38)   ~ (all_52_1 = all_4_2)
% 174.34/27.66    (39)  all_54_9 = all_52_6
% 174.34/27.66    (40)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.34/27.66    (41)  all_58_16 = all_6_2
% 174.34/27.66    (42)  all_56_13 = all_52_7
% 174.34/27.66    (43)   ~ (all_52_12 = e0)
% 174.34/27.66    (44)  all_56_2 = all_52_1
% 174.34/27.66    (45)   ~ (e3 = e0)
% 174.34/27.66    (46)  op(e3, e2) = e0
% 174.34/27.66    (47)   ~ (all_4_2 = e0)
% 174.34/27.66    (48)  all_56_6 = e2 | all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 174.34/27.66    (49)   ~ (all_6_2 = e0)
% 174.34/27.66    (50)  all_56_4 = all_52_8
% 174.34/27.66    (51)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.34/27.66    (52)  all_56_4 = e3 | all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 174.34/27.66    (53)   ~ (all_52_8 = all_6_2)
% 174.34/27.66    (54)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 174.34/27.66    (55)   ~ (all_52_1 = all_52_9)
% 174.34/27.66    (56)  all_56_6 = e0
% 174.34/27.66    (57)   ~ (all_52_7 = e0)
% 174.34/27.66    (58)   ~ (all_52_12 = all_52_14)
% 174.34/27.66    (59)  all_58_22 = all_52_6
% 174.34/27.66    (60)  all_56_3 = all_4_2
% 174.34/27.66    (61)  all_58_29 = e0
% 174.34/27.66    (62)   ~ (all_52_1 = e0)
% 174.34/27.66    (63)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 174.34/27.66    (64)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.34/27.66            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.34/27.66    (65)   ~ (all_52_6 = e0)
% 174.34/27.66    (66)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 174.34/27.66    (67)  all_58_21 = all_4_2
% 174.34/27.66    (68)   ~ (all_52_3 = e0)
% 174.34/27.66    (69)   ~ (e2 = e0)
% 174.34/27.66    (70)   ~ (all_52_14 = e0)
% 174.34/27.66    (71)  all_58_28 = all_52_12
% 174.34/27.66    (72)   ~ (e1 = e0)
% 174.34/27.66    (73)  all_54_4 = all_52_1
% 174.34/27.66    (74)  all_56_7 = all_52_6
% 174.34/27.66    (75)  all_54_5 = all_4_2
% 174.34/27.66    (76)  op(all_10_1, all_10_2) = all_10_0
% 174.34/27.66    (77)  all_56_12 = e1 | all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 174.34/27.66    (78)   ~ (all_10_0 = e0)
% 174.34/27.66    (79)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.34/27.66  
% 174.34/27.66  Begin of proof
% 174.34/27.66  | 
% 174.34/27.66  | BETA: splitting (77) gives:
% 174.34/27.66  | 
% 174.34/27.66  | Case 1:
% 174.34/27.66  | | 
% 174.34/27.66  | |   (80)  all_56_12 = e1
% 174.34/27.66  | | 
% 174.34/27.66  | | REF_CLOSE: (2), (3), (7), (22), (23), (27), (28), (30), (32), (33), (34),
% 174.34/27.66  | |            (36), (37), (38), (40), (41), (44), (45), (46), (51), (56), (57),
% 174.34/27.66  | |            (59), (60), (64), (66), (67), (68), (69), (72), (75), (79), (80)
% 174.34/27.66  | |            are inconsistent by sub-proof #904.
% 174.34/27.66  | | 
% 174.34/27.66  | Case 2:
% 174.34/27.66  | | 
% 174.34/27.66  | |   (81)  all_56_13 = e1 | all_56_14 = e1 | all_56_15 = e1
% 174.34/27.66  | | 
% 174.34/27.66  | | BETA: splitting (81) gives:
% 174.34/27.66  | | 
% 174.34/27.66  | | Case 1:
% 174.34/27.66  | | | 
% 174.34/27.66  | | |   (82)  all_56_13 = e1
% 174.34/27.66  | | | 
% 174.34/27.66  | | | COMBINE_EQS: (42), (82) imply:
% 174.34/27.66  | | |   (83)  all_52_7 = e1
% 174.34/27.66  | | | 
% 174.34/27.66  | | | SIMP: (83) implies:
% 174.34/27.66  | | |   (84)  all_52_7 = e1
% 174.34/27.66  | | | 
% 174.34/27.66  | | | COMBINE_EQS: (2), (84) imply:
% 174.34/27.66  | | |   (85)  all_58_23 = e1
% 174.34/27.66  | | | 
% 174.34/27.66  | | | REDUCE: (26), (84) imply:
% 174.34/27.66  | | |   (86)   ~ (all_52_6 = e1)
% 174.34/27.66  | | | 
% 174.34/27.66  | | | BETA: splitting (51) gives:
% 174.34/27.66  | | | 
% 174.34/27.66  | | | Case 1:
% 174.34/27.66  | | | | 
% 174.34/27.66  | | | |   (87)  all_58_23 = e0
% 174.34/27.66  | | | | 
% 174.34/27.66  | | | | COMBINE_EQS: (85), (87) imply:
% 174.34/27.66  | | | |   (88)  e1 = e0
% 174.34/27.66  | | | | 
% 174.34/27.66  | | | | REDUCE: (72), (88) imply:
% 174.34/27.66  | | | |   (89)  $false
% 174.34/27.66  | | | | 
% 174.34/27.66  | | | | CLOSE: (89) is inconsistent.
% 174.34/27.66  | | | | 
% 174.34/27.66  | | | Case 2:
% 174.34/27.66  | | | | 
% 174.34/27.66  | | | |   (90)   ~ (all_58_23 = e0)
% 174.34/27.66  | | | |   (91)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.34/27.66  | | | | 
% 174.34/27.66  | | | | BETA: splitting (91) gives:
% 174.34/27.66  | | | | 
% 174.34/27.66  | | | | Case 1:
% 174.34/27.66  | | | | | 
% 174.34/27.66  | | | | |   (92)  all_58_22 = e1
% 174.34/27.66  | | | | | 
% 174.34/27.66  | | | | | COMBINE_EQS: (59), (92) imply:
% 174.34/27.66  | | | | |   (93)  all_52_6 = e1
% 174.34/27.66  | | | | | 
% 174.34/27.66  | | | | | REDUCE: (86), (93) imply:
% 174.34/27.66  | | | | |   (94)  $false
% 174.34/27.66  | | | | | 
% 174.34/27.66  | | | | | CLOSE: (94) is inconsistent.
% 174.34/27.66  | | | | | 
% 174.34/27.66  | | | | Case 2:
% 174.34/27.66  | | | | | 
% 174.34/27.66  | | | | |   (95)   ~ (all_58_22 = e1)
% 174.34/27.66  | | | | |   (96)  all_58_20 = e3 | all_58_21 = e2
% 174.34/27.66  | | | | | 
% 174.34/27.66  | | | | | BETA: splitting (96) gives:
% 174.34/27.66  | | | | | 
% 174.34/27.66  | | | | | Case 1:
% 174.34/27.66  | | | | | | 
% 174.34/27.66  | | | | | |   (97)  all_58_21 = e2
% 174.34/27.66  | | | | | | 
% 174.34/27.66  | | | | | | COMBINE_EQS: (67), (97) imply:
% 174.34/27.66  | | | | | |   (98)  all_4_2 = e2
% 174.34/27.66  | | | | | | 
% 174.34/27.66  | | | | | | REDUCE: (38), (98) imply:
% 174.34/27.66  | | | | | |   (99)   ~ (all_52_1 = e2)
% 174.34/27.66  | | | | | | 
% 174.34/27.66  | | | | | | REDUCE: (7), (98) imply:
% 174.34/27.66  | | | | | |   (100)   ~ (all_52_6 = e2)
% 174.34/27.66  | | | | | | 
% 174.34/27.66  | | | | | | REDUCE: (13), (98) imply:
% 174.34/27.66  | | | | | |   (101)   ~ (all_52_9 = e2)
% 174.34/27.66  | | | | | | 
% 174.34/27.66  | | | | | | BETA: splitting (63) gives:
% 174.34/27.66  | | | | | | 
% 174.34/27.66  | | | | | | Case 1:
% 174.34/27.66  | | | | | | | 
% 174.34/27.66  | | | | | | |   (102)  all_54_9 = e0
% 174.34/27.66  | | | | | | | 
% 174.34/27.66  | | | | | | | REF_CLOSE: (39), (65), (102) are inconsistent by sub-proof #903.
% 174.34/27.66  | | | | | | | 
% 174.34/27.66  | | | | | | Case 2:
% 174.34/27.66  | | | | | | | 
% 174.34/27.66  | | | | | | |   (103)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1
% 174.34/27.66  | | | | | | | 
% 174.34/27.66  | | | | | | | BETA: splitting (3) gives:
% 174.34/27.66  | | | | | | | 
% 174.34/27.66  | | | | | | | Case 1:
% 174.34/27.66  | | | | | | | | 
% 174.34/27.66  | | | | | | | |   (104)  all_58_19 = e0
% 174.34/27.66  | | | | | | | | 
% 174.34/27.66  | | | | | | | | COMBINE_EQS: (34), (104) imply:
% 174.34/27.66  | | | | | | | |   (105)  all_52_3 = e0
% 174.34/27.66  | | | | | | | | 
% 174.34/27.66  | | | | | | | | REDUCE: (68), (105) imply:
% 174.34/27.66  | | | | | | | |   (106)  $false
% 174.34/27.66  | | | | | | | | 
% 174.34/27.66  | | | | | | | | CLOSE: (106) is inconsistent.
% 174.34/27.66  | | | | | | | | 
% 174.34/27.66  | | | | | | | Case 2:
% 174.34/27.66  | | | | | | | | 
% 174.34/27.66  | | | | | | | |   (107)   ~ (all_58_19 = e0)
% 174.34/27.66  | | | | | | | |   (108)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.34/27.66  | | | | | | | | 
% 174.34/27.66  | | | | | | | | BETA: splitting (108) gives:
% 174.34/27.66  | | | | | | | | 
% 174.34/27.66  | | | | | | | | Case 1:
% 174.34/27.66  | | | | | | | | | 
% 174.34/27.66  | | | | | | | | |   (109)  all_58_18 = e1
% 174.34/27.66  | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | COMBINE_EQS: (22), (109) imply:
% 174.34/27.66  | | | | | | | | |   (110)  e1 = e0
% 174.34/27.66  | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | REDUCE: (72), (110) imply:
% 174.34/27.66  | | | | | | | | |   (111)  $false
% 174.34/27.66  | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | CLOSE: (111) is inconsistent.
% 174.34/27.66  | | | | | | | | | 
% 174.34/27.66  | | | | | | | | Case 2:
% 174.34/27.66  | | | | | | | | | 
% 174.34/27.66  | | | | | | | | |   (112)  all_58_16 = e3 | all_58_17 = e2
% 174.34/27.66  | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | BETA: splitting (112) gives:
% 174.34/27.66  | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | Case 1:
% 174.34/27.66  | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | |   (113)  all_58_17 = e2
% 174.34/27.66  | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | COMBINE_EQS: (32), (113) imply:
% 174.34/27.66  | | | | | | | | | |   (114)  all_52_1 = e2
% 174.34/27.66  | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | REDUCE: (99), (114) imply:
% 174.34/27.66  | | | | | | | | | |   (115)  $false
% 174.34/27.66  | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | CLOSE: (115) is inconsistent.
% 174.34/27.66  | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | Case 2:
% 174.34/27.66  | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | |   (116)  all_58_16 = e3
% 174.34/27.66  | | | | | | | | | |   (117)   ~ (all_58_17 = e2)
% 174.34/27.66  | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | COMBINE_EQS: (41), (116) imply:
% 174.34/27.66  | | | | | | | | | |   (118)  all_6_2 = e3
% 174.34/27.66  | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | REDUCE: (23), (118) imply:
% 174.34/27.66  | | | | | | | | | |   (119)   ~ (all_52_1 = e3)
% 174.34/27.66  | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | REDUCE: (53), (118) imply:
% 174.34/27.66  | | | | | | | | | |   (120)   ~ (all_52_8 = e3)
% 174.34/27.66  | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | REDUCE: (6), (118) imply:
% 174.34/27.66  | | | | | | | | | |   (121)   ~ (all_52_12 = e3)
% 174.34/27.66  | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | BETA: splitting (54) gives:
% 174.34/27.66  | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | Case 1:
% 174.34/27.66  | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | |   (122)  all_54_4 = e0
% 174.34/27.66  | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | REF_CLOSE: (62), (73), (122) are inconsistent by sub-proof
% 174.34/27.66  | | | | | | | | | | |            #902.
% 174.34/27.66  | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | Case 2:
% 174.34/27.66  | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | |   (123)   ~ (all_54_4 = e0)
% 174.34/27.66  | | | | | | | | | | |   (124)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 174.34/27.66  | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | BETA: splitting (124) gives:
% 174.34/27.66  | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | Case 1:
% 174.34/27.66  | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | |   (125)  all_54_4 = e1
% 174.34/27.66  | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | COMBINE_EQS: (73), (125) imply:
% 174.34/27.66  | | | | | | | | | | | |   (126)  all_52_1 = e1
% 174.34/27.66  | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | SIMP: (126) implies:
% 174.34/27.66  | | | | | | | | | | | |   (127)  all_52_1 = e1
% 174.34/27.66  | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | REDUCE: (17), (127) imply:
% 174.34/27.66  | | | | | | | | | | | |   (128)  op(e2, e1) = all_58_4
% 174.34/27.66  | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | BETA: splitting (15) gives:
% 174.34/27.66  | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | Case 1:
% 174.34/27.66  | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | |   (129)  all_54_6 = e0
% 174.34/27.66  | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | REF_CLOSE: (14), (20), (129) are inconsistent by sub-proof
% 174.34/27.66  | | | | | | | | | | | | |            #901.
% 174.34/27.66  | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | Case 2:
% 174.34/27.66  | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | |   (130)   ~ (all_54_6 = e0)
% 174.34/27.66  | | | | | | | | | | | | |   (131)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 174.34/27.66  | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | BETA: splitting (18) gives:
% 174.34/27.66  | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | Case 1:
% 174.34/27.66  | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | |   (132)  all_58_31 = e0
% 174.34/27.66  | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | COMBINE_EQS: (21), (132) imply:
% 174.34/27.66  | | | | | | | | | | | | | |   (133)  all_14_2 = e0
% 174.34/27.66  | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | REDUCE: (11), (133) imply:
% 174.34/27.66  | | | | | | | | | | | | | |   (134)  $false
% 174.34/27.66  | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | CLOSE: (134) is inconsistent.
% 174.34/27.66  | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | Case 2:
% 174.34/27.66  | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | |   (135)  all_58_28 = e3 | all_58_29 = e2 | all_58_30 = e1
% 174.34/27.66  | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 174.34/27.66  | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | Case 1:
% 174.34/27.66  | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | |   (136)  all_54_9 = e1
% 174.34/27.66  | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | REF_CLOSE: (39), (86), (136) are inconsistent by sub-proof
% 174.34/27.66  | | | | | | | | | | | | | | |            #900.
% 174.34/27.66  | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | Case 2:
% 174.34/27.66  | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | |   (137)   ~ (all_54_9 = e1)
% 174.34/27.66  | | | | | | | | | | | | | | |   (138)  all_54_9 = e3 | all_54_9 = e2
% 174.34/27.66  | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | BETA: splitting (138) gives:
% 174.34/27.66  | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | Case 1:
% 174.34/27.66  | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | |   (139)  all_54_9 = e2
% 174.34/27.66  | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | REF_CLOSE: (39), (100), (139) are inconsistent by sub-proof
% 174.34/27.66  | | | | | | | | | | | | | | | |            #899.
% 174.34/27.66  | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | Case 2:
% 174.34/27.66  | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | |   (140)  all_54_9 = e3
% 174.34/27.66  | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | COMBINE_EQS: (39), (140) imply:
% 174.34/27.66  | | | | | | | | | | | | | | | |   (141)  all_52_6 = e3
% 174.34/27.66  | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | SIMP: (141) implies:
% 174.34/27.66  | | | | | | | | | | | | | | | |   (142)  all_52_6 = e3
% 174.34/27.66  | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | COMBINE_EQS: (74), (142) imply:
% 174.34/27.66  | | | | | | | | | | | | | | | |   (143)  all_56_7 = e3
% 174.34/27.66  | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | BETA: splitting (52) gives:
% 174.34/27.66  | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.66  | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | |   (144)  all_56_4 = e3
% 174.34/27.66  | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | COMBINE_EQS: (50), (144) imply:
% 174.34/27.66  | | | | | | | | | | | | | | | | |   (145)  all_52_8 = e3
% 174.34/27.66  | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | REDUCE: (120), (145) imply:
% 174.34/27.66  | | | | | | | | | | | | | | | | |   (146)  $false
% 174.34/27.66  | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | CLOSE: (146) is inconsistent.
% 174.34/27.66  | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.66  | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | |   (147)  all_56_5 = e3 | all_56_8 = e3 | all_56_14 = e3
% 174.34/27.66  | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 174.34/27.66  | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | |   (148)  all_56_5 = e3
% 174.34/27.66  | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5), (148) imply:
% 174.34/27.66  | | | | | | | | | | | | | | | | | |   (149)  all_52_9 = e3
% 174.34/27.66  | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | REDUCE: (25), (149) imply:
% 174.34/27.66  | | | | | | | | | | | | | | | | | |   (150)  op(e2, e1) = e3
% 174.34/27.66  | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | BETA: splitting (135) gives:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | |   (151)  all_58_30 = e1
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (29), (151) imply:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | |   (152)  all_52_14 = e1
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (24), (152) imply:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | |   (153)  all_56_11 = e1
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | REDUCE: (58), (152) imply:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | |   (154)   ~ (all_52_12 = e1)
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | |   (155)  all_54_3 = e0
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (43), (155) are inconsistent by sub-proof
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | |            #898.
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | |   (156)   ~ (all_54_3 = e0)
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | |   (157)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | BETA: splitting (31) gives:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | |   (158)  all_56_9 = e2
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (35), (158) imply:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | |   (159)  all_52_12 = e2
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | SIMP: (159) implies:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | |   (160)  all_52_12 = e2
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (160) imply:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | |   (161)   ~ (e3 = e2)
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | REDUCE: (1), (160) imply:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | |   (162)  op(e3, e2) = all_58_3
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (48) gives:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | |   (163)  all_56_6 = e2
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (69), (163) are inconsistent by sub-proof
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | |            #954.
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | |   (164)  all_56_7 = e2 | all_56_8 = e2 | all_56_11 = e2
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | |   (165)  all_56_7 = e2
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (143), (165) imply:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | |   (166)  e3 = e2
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (116), (166) imply:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | |   (167)  all_58_16 = e2
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (32), (36), (72), (99), (108), (167) are
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #963.
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | |   (168)  all_56_8 = e2 | all_56_11 = e2
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | |   (169)  all_56_8 = e2
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16), (169) imply:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | |   (170)  all_10_2 = e2
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (170) imply:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | |   (171)  op(all_10_1, e2) = all_10_0
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (170) imply:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | |   (172)  op(e2, e1) = all_10_1
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (64) with all_10_1, all_58_4, e1,
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | |              e2, simplifying with (128), (172) gives:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | |   (173)  all_58_4 = all_10_1
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (64) with e3, all_58_4, e1, e2,
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (128), (150) gives:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | |   (174)  all_58_4 = e3
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (64) with e0, all_58_3, e2, e3,
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (46), (162) gives:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | |   (175)  all_58_3 = e0
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (173), (174) imply:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | |   (176)  all_10_1 = e3
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (176) imply:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | |   (177)  op(e3, e2) = all_10_0
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (64) with e0, all_10_0, e2, e3,
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (46), (177) gives:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | |   (178)  all_10_0 = e0
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (178) imply:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | |   (179)  $false
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (179) is inconsistent.
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | |   (180)  all_56_11 = e2
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (153), (180) imply:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | |   (181)  e2 = e1
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (97), (181) imply:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | |   (182)  all_58_21 = e1
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (33), (37), (45), (51), (57), (59), (86),
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | |            (182) are inconsistent by sub-proof #895.
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | |   (183)   ~ (all_56_9 = e2)
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (183) imply:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | |   (184)   ~ (all_52_12 = e2)
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (121), (154), (157), (184) are inconsistent
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #890.
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | |   (185)  all_58_28 = e3 | all_58_29 = e2
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (6), (7), (22), (27), (30), (32), (33),
% 174.34/27.66  | | | | | | | | | | | | | | | | | | |            (34), (36), (38), (41), (43), (44), (46), (51),
% 174.34/27.66  | | | | | | | | | | | | | | | | | | |            (57), (59), (60), (61), (64), (66), (67), (68),
% 174.34/27.66  | | | | | | | | | | | | | | | | | | |            (69), (71), (72), (75), (79), (185) are
% 174.34/27.66  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #887.
% 174.34/27.66  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.66  | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.66  | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | |   (186)   ~ (all_56_5 = e3)
% 174.34/27.66  | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | REDUCE: (5), (186) imply:
% 174.34/27.66  | | | | | | | | | | | | | | | | | |   (187)   ~ (all_52_9 = e3)
% 174.34/27.66  | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (55), (73), (99), (101), (119), (124),
% 174.34/27.66  | | | | | | | | | | | | | | | | | |            (131), (187) are inconsistent by sub-proof #879.
% 174.34/27.66  | | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | | End of split
% 174.34/27.66  | | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | | End of split
% 174.34/27.66  | | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | | End of split
% 174.34/27.66  | | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | | End of split
% 174.34/27.66  | | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | | End of split
% 174.34/27.66  | | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | End of split
% 174.34/27.66  | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | Case 2:
% 174.34/27.66  | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | |   (188)  all_54_4 = e3 | all_54_4 = e2
% 174.34/27.66  | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | | REF_CLOSE: (33), (38), (45), (59), (67), (73), (86), (91),
% 174.34/27.66  | | | | | | | | | | | |            (119), (188) are inconsistent by sub-proof #877.
% 174.34/27.66  | | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | | End of split
% 174.34/27.66  | | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | | End of split
% 174.34/27.66  | | | | | | | | | | 
% 174.34/27.66  | | | | | | | | | End of split
% 174.34/27.66  | | | | | | | | | 
% 174.34/27.66  | | | | | | | | End of split
% 174.34/27.66  | | | | | | | | 
% 174.34/27.66  | | | | | | | End of split
% 174.34/27.66  | | | | | | | 
% 174.34/27.66  | | | | | | End of split
% 174.34/27.66  | | | | | | 
% 174.34/27.66  | | | | | Case 2:
% 174.34/27.66  | | | | | | 
% 174.34/27.66  | | | | | |   (189)  all_58_20 = e3
% 174.34/27.66  | | | | | | 
% 174.34/27.66  | | | | | | REF_CLOSE: (33), (45), (189) are inconsistent by sub-proof #948.
% 174.34/27.66  | | | | | | 
% 174.34/27.66  | | | | | End of split
% 174.34/27.66  | | | | | 
% 174.34/27.66  | | | | End of split
% 174.34/27.66  | | | | 
% 174.34/27.66  | | | End of split
% 174.34/27.66  | | | 
% 174.34/27.66  | | Case 2:
% 174.34/27.66  | | | 
% 174.34/27.67  | | |   (190)  all_56_14 = e1 | all_56_15 = e1
% 174.34/27.67  | | | 
% 174.34/27.67  | | | REF_CLOSE: (8), (9), (19), (72), (190) are inconsistent by sub-proof #875.
% 174.34/27.67  | | | 
% 174.34/27.67  | | End of split
% 174.34/27.67  | | 
% 174.34/27.67  | End of split
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #875 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)   ~ (all_14_2 = e1)
% 174.34/27.67    (2)  all_56_15 = all_14_2
% 174.34/27.67    (3)  all_56_14 = e0
% 174.34/27.67    (4)  all_56_14 = e1 | all_56_15 = e1
% 174.34/27.67    (5)   ~ (e1 = e0)
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | BETA: splitting (4) gives:
% 174.34/27.67  | 
% 174.34/27.67  | Case 1:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (6)  all_56_14 = e1
% 174.34/27.67  | | 
% 174.34/27.67  | | COMBINE_EQS: (3), (6) imply:
% 174.34/27.67  | |   (7)  e1 = e0
% 174.34/27.67  | | 
% 174.34/27.67  | | REDUCE: (5), (7) imply:
% 174.34/27.67  | |   (8)  $false
% 174.34/27.67  | | 
% 174.34/27.67  | | CLOSE: (8) is inconsistent.
% 174.34/27.67  | | 
% 174.34/27.67  | Case 2:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (9)  all_56_15 = e1
% 174.34/27.67  | | 
% 174.34/27.67  | | REF_CLOSE: (1), (2), (9) are inconsistent by sub-proof #876.
% 174.34/27.67  | | 
% 174.34/27.67  | End of split
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #876 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_56_15 = all_14_2
% 174.34/27.67    (2)  all_56_15 = e1
% 174.34/27.67    (3)   ~ (all_14_2 = e1)
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.67  |   (4)  all_14_2 = e1
% 174.34/27.67  | 
% 174.34/27.67  | SIMP: (4) implies:
% 174.34/27.67  |   (5)  all_14_2 = e1
% 174.34/27.67  | 
% 174.34/27.67  | REDUCE: (3), (5) imply:
% 174.34/27.67  |   (6)  $false
% 174.34/27.67  | 
% 174.34/27.67  | CLOSE: (6) is inconsistent.
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #877 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.34/27.67    (2)   ~ (all_52_6 = e1)
% 174.34/27.67    (3)   ~ (all_52_1 = e3)
% 174.34/27.67    (4)  all_58_20 = e0
% 174.34/27.67    (5)   ~ (all_52_1 = all_4_2)
% 174.34/27.67    (6)   ~ (e3 = e0)
% 174.34/27.67    (7)  all_58_22 = all_52_6
% 174.34/27.67    (8)  all_54_4 = e3 | all_54_4 = e2
% 174.34/27.67    (9)  all_58_21 = all_4_2
% 174.34/27.67    (10)  all_54_4 = all_52_1
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | BETA: splitting (1) gives:
% 174.34/27.67  | 
% 174.34/27.67  | Case 1:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (11)  all_58_22 = e1
% 174.34/27.67  | | 
% 174.34/27.67  | | COMBINE_EQS: (7), (11) imply:
% 174.34/27.67  | |   (12)  all_52_6 = e1
% 174.34/27.67  | | 
% 174.34/27.67  | | REDUCE: (2), (12) imply:
% 174.34/27.67  | |   (13)  $false
% 174.34/27.67  | | 
% 174.34/27.67  | | CLOSE: (13) is inconsistent.
% 174.34/27.67  | | 
% 174.34/27.67  | Case 2:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (14)  all_58_20 = e3 | all_58_21 = e2
% 174.34/27.67  | | 
% 174.34/27.67  | | REF_CLOSE: (3), (4), (5), (6), (8), (9), (10), (14) are inconsistent by
% 174.34/27.67  | |            sub-proof #878.
% 174.34/27.67  | | 
% 174.34/27.67  | End of split
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #878 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)   ~ (all_52_1 = e3)
% 174.34/27.67    (2)  all_58_20 = e0
% 174.34/27.67    (3)   ~ (all_52_1 = all_4_2)
% 174.34/27.67    (4)   ~ (e3 = e0)
% 174.34/27.67    (5)  all_58_20 = e3 | all_58_21 = e2
% 174.34/27.67    (6)  all_54_4 = e3 | all_54_4 = e2
% 174.34/27.67    (7)  all_58_21 = all_4_2
% 174.34/27.67    (8)  all_54_4 = all_52_1
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | BETA: splitting (6) gives:
% 174.34/27.67  | 
% 174.34/27.67  | Case 1:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (9)  all_54_4 = e2
% 174.34/27.67  | | 
% 174.34/27.67  | | COMBINE_EQS: (8), (9) imply:
% 174.34/27.67  | |   (10)  all_52_1 = e2
% 174.34/27.67  | | 
% 174.34/27.67  | | REDUCE: (3), (10) imply:
% 174.34/27.67  | |   (11)   ~ (all_4_2 = e2)
% 174.34/27.67  | | 
% 174.34/27.67  | | SIMP: (11) implies:
% 174.34/27.67  | |   (12)   ~ (all_4_2 = e2)
% 174.34/27.67  | | 
% 174.34/27.67  | | REF_CLOSE: (2), (4), (5), (7), (12) are inconsistent by sub-proof #974.
% 174.34/27.67  | | 
% 174.34/27.67  | Case 2:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (13)  all_54_4 = e3
% 174.34/27.67  | | 
% 174.34/27.67  | | COMBINE_EQS: (8), (13) imply:
% 174.34/27.67  | |   (14)  all_52_1 = e3
% 174.34/27.67  | | 
% 174.34/27.67  | | REDUCE: (1), (14) imply:
% 174.34/27.67  | |   (15)  $false
% 174.34/27.67  | | 
% 174.34/27.67  | | CLOSE: (15) is inconsistent.
% 174.34/27.67  | | 
% 174.34/27.67  | End of split
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #879 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_54_6 = all_52_9
% 174.34/27.67    (2)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1
% 174.34/27.67    (3)   ~ (all_52_1 = e3)
% 174.34/27.67    (4)   ~ (all_52_9 = e3)
% 174.34/27.67    (5)   ~ (all_52_9 = e2)
% 174.34/27.67    (6)   ~ (all_52_1 = all_52_9)
% 174.34/27.67    (7)   ~ (all_52_1 = e2)
% 174.34/27.67    (8)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 174.34/27.67    (9)  all_54_4 = all_52_1
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | BETA: splitting (2) gives:
% 174.34/27.67  | 
% 174.34/27.67  | Case 1:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (10)  all_54_4 = e1
% 174.34/27.67  | | 
% 174.34/27.67  | | COMBINE_EQS: (9), (10) imply:
% 174.34/27.67  | |   (11)  all_52_1 = e1
% 174.34/27.67  | | 
% 174.34/27.67  | | SIMP: (11) implies:
% 174.34/27.67  | |   (12)  all_52_1 = e1
% 174.34/27.67  | | 
% 174.34/27.67  | | REDUCE: (6), (12) imply:
% 174.34/27.67  | |   (13)   ~ (all_52_9 = e1)
% 174.34/27.67  | | 
% 174.34/27.67  | | SIMP: (13) implies:
% 174.34/27.67  | |   (14)   ~ (all_52_9 = e1)
% 174.34/27.67  | | 
% 174.34/27.67  | | REF_CLOSE: (1), (4), (5), (8), (14) are inconsistent by sub-proof #883.
% 174.34/27.67  | | 
% 174.34/27.67  | Case 2:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (15)  all_54_4 = e3 | all_54_4 = e2
% 174.34/27.67  | | 
% 174.34/27.67  | | REF_CLOSE: (3), (7), (9), (15) are inconsistent by sub-proof #880.
% 174.34/27.67  | | 
% 174.34/27.67  | End of split
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #880 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_54_4 = e3 | all_54_4 = e2
% 174.34/27.67    (2)  all_54_4 = all_52_1
% 174.34/27.67    (3)   ~ (all_52_1 = e2)
% 174.34/27.67    (4)   ~ (all_52_1 = e3)
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | BETA: splitting (1) gives:
% 174.34/27.67  | 
% 174.34/27.67  | Case 1:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (5)  all_54_4 = e2
% 174.34/27.67  | | 
% 174.34/27.67  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #882.
% 174.34/27.67  | | 
% 174.34/27.67  | Case 2:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (6)  all_54_4 = e3
% 174.34/27.67  | | 
% 174.34/27.67  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #881.
% 174.34/27.67  | | 
% 174.34/27.67  | End of split
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #881 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_54_4 = all_52_1
% 174.34/27.67    (2)  all_54_4 = e3
% 174.34/27.67    (3)   ~ (all_52_1 = e3)
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.67  |   (4)  all_52_1 = e3
% 174.34/27.67  | 
% 174.34/27.67  | SIMP: (4) implies:
% 174.34/27.67  |   (5)  all_52_1 = e3
% 174.34/27.67  | 
% 174.34/27.67  | REDUCE: (3), (5) imply:
% 174.34/27.67  |   (6)  $false
% 174.34/27.67  | 
% 174.34/27.67  | CLOSE: (6) is inconsistent.
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #882 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_54_4 = all_52_1
% 174.34/27.67    (2)  all_54_4 = e2
% 174.34/27.67    (3)   ~ (all_52_1 = e2)
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.67  |   (4)  all_52_1 = e2
% 174.34/27.67  | 
% 174.34/27.67  | SIMP: (4) implies:
% 174.34/27.67  |   (5)  all_52_1 = e2
% 174.34/27.67  | 
% 174.34/27.67  | REDUCE: (3), (5) imply:
% 174.34/27.67  |   (6)  $false
% 174.34/27.67  | 
% 174.34/27.67  | CLOSE: (6) is inconsistent.
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #883 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)   ~ (all_52_9 = e1)
% 174.34/27.67    (2)  all_54_6 = all_52_9
% 174.34/27.67    (3)   ~ (all_52_9 = e3)
% 174.34/27.67    (4)   ~ (all_52_9 = e2)
% 174.34/27.67    (5)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | BETA: splitting (5) gives:
% 174.34/27.67  | 
% 174.34/27.67  | Case 1:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (6)  all_54_6 = e1
% 174.34/27.67  | | 
% 174.34/27.67  | | REF_CLOSE: (1), (2), (6) are inconsistent by sub-proof #886.
% 174.34/27.67  | | 
% 174.34/27.67  | Case 2:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (7)  all_54_6 = e3 | all_54_6 = e2
% 174.34/27.67  | | 
% 174.34/27.67  | | REF_CLOSE: (2), (3), (4), (7) are inconsistent by sub-proof #884.
% 174.34/27.67  | | 
% 174.34/27.67  | End of split
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #884 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_54_6 = e3 | all_54_6 = e2
% 174.34/27.67    (2)  all_54_6 = all_52_9
% 174.34/27.67    (3)   ~ (all_52_9 = e2)
% 174.34/27.67    (4)   ~ (all_52_9 = e3)
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | BETA: splitting (1) gives:
% 174.34/27.67  | 
% 174.34/27.67  | Case 1:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (5)  all_54_6 = e2
% 174.34/27.67  | | 
% 174.34/27.67  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #885.
% 174.34/27.67  | | 
% 174.34/27.67  | Case 2:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (6)  all_54_6 = e3
% 174.34/27.67  | | 
% 174.34/27.67  | | COMBINE_EQS: (2), (6) imply:
% 174.34/27.67  | |   (7)  all_52_9 = e3
% 174.34/27.67  | | 
% 174.34/27.67  | | SIMP: (7) implies:
% 174.34/27.67  | |   (8)  all_52_9 = e3
% 174.34/27.67  | | 
% 174.34/27.67  | | REDUCE: (4), (8) imply:
% 174.34/27.67  | |   (9)  $false
% 174.34/27.67  | | 
% 174.34/27.67  | | CLOSE: (9) is inconsistent.
% 174.34/27.67  | | 
% 174.34/27.67  | End of split
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #885 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_54_6 = all_52_9
% 174.34/27.67    (2)  all_54_6 = e2
% 174.34/27.67    (3)   ~ (all_52_9 = e2)
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.67  |   (4)  all_52_9 = e2
% 174.34/27.67  | 
% 174.34/27.67  | SIMP: (4) implies:
% 174.34/27.67  |   (5)  all_52_9 = e2
% 174.34/27.67  | 
% 174.34/27.67  | REDUCE: (3), (5) imply:
% 174.34/27.67  |   (6)  $false
% 174.34/27.67  | 
% 174.34/27.67  | CLOSE: (6) is inconsistent.
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #886 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_54_6 = all_52_9
% 174.34/27.67    (2)  all_54_6 = e1
% 174.34/27.67    (3)   ~ (all_52_9 = e1)
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.67  |   (4)  all_52_9 = e1
% 174.34/27.67  | 
% 174.34/27.67  | SIMP: (4) implies:
% 174.34/27.67  |   (5)  all_52_9 = e1
% 174.34/27.67  | 
% 174.34/27.67  | REDUCE: (3), (5) imply:
% 174.34/27.67  |   (6)  $false
% 174.34/27.67  | 
% 174.34/27.67  | CLOSE: (6) is inconsistent.
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #887 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_58_23 = all_52_7
% 174.34/27.67    (2)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.34/27.67    (3)   ~ (all_52_12 = all_6_2)
% 174.34/27.67    (4)   ~ (all_52_6 = all_4_2)
% 174.34/27.67    (5)  all_58_18 = e0
% 174.34/27.67    (6)   ~ (all_4_1 = e0)
% 174.34/27.67    (7)  op(all_4_2, e2) = all_4_1
% 174.34/27.67    (8)  all_58_28 = e3 | all_58_29 = e2
% 174.34/27.67    (9)  all_58_17 = all_52_1
% 174.34/27.67    (10)  all_58_20 = e0
% 174.34/27.67    (11)  all_58_19 = all_52_3
% 174.34/27.67    (12)   ~ (e3 = e2)
% 174.34/27.67    (13)   ~ (all_52_1 = all_4_2)
% 174.34/27.67    (14)  all_58_16 = all_6_2
% 174.34/27.67    (15)   ~ (all_52_12 = e0)
% 174.34/27.67    (16)  all_56_2 = all_52_1
% 174.34/27.67    (17)  op(e3, e2) = e0
% 174.34/27.67    (18)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.34/27.67    (19)   ~ (all_52_7 = e0)
% 174.34/27.67    (20)  all_58_22 = all_52_6
% 174.34/27.67    (21)  all_56_3 = all_4_2
% 174.34/27.67    (22)  all_58_29 = e0
% 174.34/27.67    (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.34/27.67            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.34/27.67    (24)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 174.34/27.67    (25)  all_58_21 = all_4_2
% 174.34/27.67    (26)   ~ (all_52_3 = e0)
% 174.34/27.67    (27)   ~ (e2 = e0)
% 174.34/27.67    (28)  all_58_28 = all_52_12
% 174.34/27.67    (29)   ~ (e1 = e0)
% 174.34/27.67    (30)  all_54_5 = all_4_2
% 174.34/27.67    (31)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | BETA: splitting (8) gives:
% 174.34/27.67  | 
% 174.34/27.67  | Case 1:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (32)  all_58_29 = e2
% 174.34/27.67  | | 
% 174.34/27.67  | | REF_CLOSE: (22), (27), (32) are inconsistent by sub-proof #889.
% 174.34/27.67  | | 
% 174.34/27.67  | Case 2:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (33)  all_58_28 = e3
% 174.34/27.67  | | 
% 174.34/27.67  | | COMBINE_EQS: (28), (33) imply:
% 174.34/27.67  | |   (34)  all_52_12 = e3
% 174.34/27.67  | | 
% 174.34/27.67  | | REDUCE: (3), (34) imply:
% 174.34/27.67  | |   (35)   ~ (all_6_2 = e3)
% 174.34/27.67  | | 
% 174.34/27.67  | | SIMP: (35) implies:
% 174.34/27.67  | |   (36)   ~ (all_6_2 = e3)
% 174.34/27.67  | | 
% 174.34/27.67  | | REDUCE: (15), (34) imply:
% 174.34/27.67  | |   (37)   ~ (e3 = e0)
% 174.34/27.67  | | 
% 174.34/27.67  | | BETA: splitting (2) gives:
% 174.34/27.67  | | 
% 174.34/27.67  | | Case 1:
% 174.34/27.67  | | | 
% 174.34/27.67  | | |   (38)  all_58_19 = e0
% 174.34/27.67  | | | 
% 174.34/27.67  | | | COMBINE_EQS: (11), (38) imply:
% 174.34/27.67  | | |   (39)  all_52_3 = e0
% 174.34/27.67  | | | 
% 174.34/27.67  | | | REDUCE: (26), (39) imply:
% 174.34/27.67  | | |   (40)  $false
% 174.34/27.67  | | | 
% 174.34/27.67  | | | CLOSE: (40) is inconsistent.
% 174.34/27.67  | | | 
% 174.34/27.67  | | Case 2:
% 174.34/27.67  | | | 
% 174.34/27.67  | | |   (41)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.34/27.67  | | | 
% 174.34/27.67  | | | BETA: splitting (41) gives:
% 174.34/27.67  | | | 
% 174.34/27.67  | | | Case 1:
% 174.34/27.67  | | | | 
% 174.34/27.67  | | | |   (42)  all_58_18 = e1
% 174.34/27.67  | | | | 
% 174.34/27.67  | | | | REF_CLOSE: (5), (29), (42) are inconsistent by sub-proof #888.
% 174.34/27.67  | | | | 
% 174.34/27.67  | | | Case 2:
% 174.34/27.67  | | | | 
% 174.34/27.67  | | | |   (43)  all_58_16 = e3 | all_58_17 = e2
% 174.34/27.67  | | | | 
% 174.34/27.67  | | | | BETA: splitting (43) gives:
% 174.34/27.67  | | | | 
% 174.34/27.67  | | | | Case 1:
% 174.34/27.67  | | | | | 
% 174.34/27.67  | | | | |   (44)  all_58_17 = e2
% 174.34/27.67  | | | | | 
% 174.34/27.67  | | | | | COMBINE_EQS: (9), (44) imply:
% 174.34/27.67  | | | | |   (45)  all_52_1 = e2
% 174.34/27.67  | | | | | 
% 174.34/27.67  | | | | | REF_CLOSE: (1), (4), (6), (7), (10), (12), (13), (16), (17), (18),
% 174.34/27.67  | | | | |            (19), (20), (21), (23), (24), (25), (30), (31), (37), (45)
% 174.34/27.67  | | | | |            are inconsistent by sub-proof #906.
% 174.34/27.67  | | | | | 
% 174.34/27.67  | | | | Case 2:
% 174.34/27.67  | | | | | 
% 174.34/27.67  | | | | |   (46)  all_58_16 = e3
% 174.34/27.67  | | | | | 
% 174.34/27.67  | | | | | COMBINE_EQS: (14), (46) imply:
% 174.34/27.67  | | | | |   (47)  all_6_2 = e3
% 174.34/27.67  | | | | | 
% 174.34/27.67  | | | | | REDUCE: (36), (47) imply:
% 174.34/27.67  | | | | |   (48)  $false
% 174.34/27.67  | | | | | 
% 174.34/27.67  | | | | | CLOSE: (48) is inconsistent.
% 174.34/27.67  | | | | | 
% 174.34/27.67  | | | | End of split
% 174.34/27.67  | | | | 
% 174.34/27.67  | | | End of split
% 174.34/27.67  | | | 
% 174.34/27.67  | | End of split
% 174.34/27.67  | | 
% 174.34/27.67  | End of split
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #888 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_58_18 = e1
% 174.34/27.67    (2)  all_58_18 = e0
% 174.34/27.67    (3)   ~ (e1 = e0)
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.67  |   (4)  e1 = e0
% 174.34/27.67  | 
% 174.34/27.67  | SIMP: (4) implies:
% 174.34/27.67  |   (5)  e1 = e0
% 174.34/27.67  | 
% 174.34/27.67  | REDUCE: (3), (5) imply:
% 174.34/27.67  |   (6)  $false
% 174.34/27.67  | 
% 174.34/27.67  | CLOSE: (6) is inconsistent.
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #889 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_58_29 = e2
% 174.34/27.67    (2)  all_58_29 = e0
% 174.34/27.67    (3)   ~ (e2 = e0)
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.67  |   (4)  e2 = e0
% 174.34/27.67  | 
% 174.34/27.67  | SIMP: (4) implies:
% 174.34/27.67  |   (5)  e2 = e0
% 174.34/27.67  | 
% 174.34/27.67  | REDUCE: (3), (5) imply:
% 174.34/27.67  |   (6)  $false
% 174.34/27.67  | 
% 174.34/27.67  | CLOSE: (6) is inconsistent.
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #890 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)   ~ (all_52_12 = e2)
% 174.34/27.67    (2)  all_54_3 = all_52_12
% 174.34/27.67    (3)   ~ (all_52_12 = e3)
% 174.34/27.67    (4)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1
% 174.34/27.67    (5)   ~ (all_52_12 = e1)
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | BETA: splitting (4) gives:
% 174.34/27.67  | 
% 174.34/27.67  | Case 1:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (6)  all_54_3 = e1
% 174.34/27.67  | | 
% 174.34/27.67  | | REF_CLOSE: (2), (5), (6) are inconsistent by sub-proof #894.
% 174.34/27.67  | | 
% 174.34/27.67  | Case 2:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (7)  all_54_3 = e3 | all_54_3 = e2
% 174.34/27.67  | | 
% 174.34/27.67  | | REF_CLOSE: (1), (2), (3), (7) are inconsistent by sub-proof #891.
% 174.34/27.67  | | 
% 174.34/27.67  | End of split
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #891 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_54_3 = e3 | all_54_3 = e2
% 174.34/27.67    (2)  all_54_3 = all_52_12
% 174.34/27.67    (3)   ~ (all_52_12 = e2)
% 174.34/27.67    (4)   ~ (all_52_12 = e3)
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | BETA: splitting (1) gives:
% 174.34/27.67  | 
% 174.34/27.67  | Case 1:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (5)  all_54_3 = e2
% 174.34/27.67  | | 
% 174.34/27.67  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #893.
% 174.34/27.67  | | 
% 174.34/27.67  | Case 2:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (6)  all_54_3 = e3
% 174.34/27.67  | | 
% 174.34/27.67  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #892.
% 174.34/27.67  | | 
% 174.34/27.67  | End of split
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #892 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_54_3 = all_52_12
% 174.34/27.67    (2)  all_54_3 = e3
% 174.34/27.67    (3)   ~ (all_52_12 = e3)
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.67  |   (4)  all_52_12 = e3
% 174.34/27.67  | 
% 174.34/27.67  | SIMP: (4) implies:
% 174.34/27.67  |   (5)  all_52_12 = e3
% 174.34/27.67  | 
% 174.34/27.67  | REDUCE: (3), (5) imply:
% 174.34/27.67  |   (6)  $false
% 174.34/27.67  | 
% 174.34/27.67  | CLOSE: (6) is inconsistent.
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #893 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_54_3 = all_52_12
% 174.34/27.67    (2)  all_54_3 = e2
% 174.34/27.67    (3)   ~ (all_52_12 = e2)
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.67  |   (4)  all_52_12 = e2
% 174.34/27.67  | 
% 174.34/27.67  | SIMP: (4) implies:
% 174.34/27.67  |   (5)  all_52_12 = e2
% 174.34/27.67  | 
% 174.34/27.67  | REDUCE: (3), (5) imply:
% 174.34/27.67  |   (6)  $false
% 174.34/27.67  | 
% 174.34/27.67  | CLOSE: (6) is inconsistent.
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #894 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_54_3 = all_52_12
% 174.34/27.67    (2)  all_54_3 = e1
% 174.34/27.67    (3)   ~ (all_52_12 = e1)
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.67  |   (4)  all_52_12 = e1
% 174.34/27.67  | 
% 174.34/27.67  | SIMP: (4) implies:
% 174.34/27.67  |   (5)  all_52_12 = e1
% 174.34/27.67  | 
% 174.34/27.67  | REDUCE: (3), (5) imply:
% 174.34/27.67  |   (6)  $false
% 174.34/27.67  | 
% 174.34/27.67  | CLOSE: (6) is inconsistent.
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #895 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_58_23 = all_52_7
% 174.34/27.67    (2)   ~ (all_52_6 = e1)
% 174.34/27.67    (3)  all_58_20 = e0
% 174.34/27.67    (4)   ~ (e2 = e1)
% 174.34/27.67    (5)   ~ (e3 = e0)
% 174.34/27.67    (6)  all_58_21 = e1
% 174.34/27.67    (7)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.34/27.67    (8)   ~ (all_52_7 = e0)
% 174.34/27.67    (9)  all_58_22 = all_52_6
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | BETA: splitting (7) gives:
% 174.34/27.67  | 
% 174.34/27.67  | Case 1:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (10)  all_58_23 = e0
% 174.34/27.67  | | 
% 174.34/27.67  | | COMBINE_EQS: (1), (10) imply:
% 174.34/27.67  | |   (11)  all_52_7 = e0
% 174.34/27.67  | | 
% 174.34/27.67  | | REDUCE: (8), (11) imply:
% 174.34/27.67  | |   (12)  $false
% 174.34/27.67  | | 
% 174.34/27.67  | | CLOSE: (12) is inconsistent.
% 174.34/27.67  | | 
% 174.34/27.67  | Case 2:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (13)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.34/27.67  | | 
% 174.34/27.67  | | REF_CLOSE: (2), (3), (4), (5), (6), (9), (13) are inconsistent by sub-proof
% 174.34/27.67  | |            #896.
% 174.34/27.67  | | 
% 174.34/27.67  | End of split
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #896 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.34/27.67    (2)   ~ (all_52_6 = e1)
% 174.34/27.67    (3)  all_58_20 = e0
% 174.34/27.67    (4)   ~ (e2 = e1)
% 174.34/27.67    (5)   ~ (e3 = e0)
% 174.34/27.67    (6)  all_58_21 = e1
% 174.34/27.67    (7)  all_58_22 = all_52_6
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | BETA: splitting (1) gives:
% 174.34/27.67  | 
% 174.34/27.67  | Case 1:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (8)  all_58_22 = e1
% 174.34/27.67  | | 
% 174.34/27.67  | | COMBINE_EQS: (7), (8) imply:
% 174.34/27.67  | |   (9)  all_52_6 = e1
% 174.34/27.67  | | 
% 174.34/27.67  | | REDUCE: (2), (9) imply:
% 174.34/27.67  | |   (10)  $false
% 174.34/27.67  | | 
% 174.34/27.67  | | CLOSE: (10) is inconsistent.
% 174.34/27.67  | | 
% 174.34/27.67  | Case 2:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (11)  all_58_20 = e3 | all_58_21 = e2
% 174.34/27.67  | | 
% 174.34/27.67  | | BETA: splitting (11) gives:
% 174.34/27.67  | | 
% 174.34/27.67  | | Case 1:
% 174.34/27.67  | | | 
% 174.34/27.67  | | |   (12)  all_58_21 = e2
% 174.34/27.67  | | | 
% 174.34/27.67  | | | REF_CLOSE: (4), (6), (12) are inconsistent by sub-proof #897.
% 174.34/27.67  | | | 
% 174.34/27.67  | | Case 2:
% 174.34/27.67  | | | 
% 174.34/27.67  | | |   (13)  all_58_20 = e3
% 174.34/27.67  | | | 
% 174.34/27.67  | | | REF_CLOSE: (3), (5), (13) are inconsistent by sub-proof #948.
% 174.34/27.67  | | | 
% 174.34/27.67  | | End of split
% 174.34/27.67  | | 
% 174.34/27.67  | End of split
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #897 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_58_21 = e2
% 174.34/27.67    (2)  all_58_21 = e1
% 174.34/27.67    (3)   ~ (e2 = e1)
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.67  |   (4)  e2 = e1
% 174.34/27.67  | 
% 174.34/27.67  | SIMP: (4) implies:
% 174.34/27.67  |   (5)  e2 = e1
% 174.34/27.67  | 
% 174.34/27.67  | REDUCE: (3), (5) imply:
% 174.34/27.67  |   (6)  $false
% 174.34/27.67  | 
% 174.34/27.67  | CLOSE: (6) is inconsistent.
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #898 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_54_3 = all_52_12
% 174.34/27.67    (2)  all_54_3 = e0
% 174.34/27.67    (3)   ~ (all_52_12 = e0)
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.67  |   (4)  all_52_12 = e0
% 174.34/27.67  | 
% 174.34/27.67  | SIMP: (4) implies:
% 174.34/27.67  |   (5)  all_52_12 = e0
% 174.34/27.67  | 
% 174.34/27.67  | REDUCE: (3), (5) imply:
% 174.34/27.67  |   (6)  $false
% 174.34/27.67  | 
% 174.34/27.67  | CLOSE: (6) is inconsistent.
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #899 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_54_9 = all_52_6
% 174.34/27.67    (2)  all_54_9 = e2
% 174.34/27.67    (3)   ~ (all_52_6 = e2)
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.67  |   (4)  all_52_6 = e2
% 174.34/27.67  | 
% 174.34/27.67  | SIMP: (4) implies:
% 174.34/27.67  |   (5)  all_52_6 = e2
% 174.34/27.67  | 
% 174.34/27.67  | REDUCE: (3), (5) imply:
% 174.34/27.67  |   (6)  $false
% 174.34/27.67  | 
% 174.34/27.67  | CLOSE: (6) is inconsistent.
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #900 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_54_9 = all_52_6
% 174.34/27.67    (2)  all_54_9 = e1
% 174.34/27.67    (3)   ~ (all_52_6 = e1)
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.67  |   (4)  all_52_6 = e1
% 174.34/27.67  | 
% 174.34/27.67  | SIMP: (4) implies:
% 174.34/27.67  |   (5)  all_52_6 = e1
% 174.34/27.67  | 
% 174.34/27.67  | REDUCE: (3), (5) imply:
% 174.34/27.67  |   (6)  $false
% 174.34/27.67  | 
% 174.34/27.67  | CLOSE: (6) is inconsistent.
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #901 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_54_6 = all_52_9
% 174.34/27.67    (2)  all_54_6 = e0
% 174.34/27.67    (3)   ~ (all_52_9 = e0)
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.67  |   (4)  all_52_9 = e0
% 174.34/27.67  | 
% 174.34/27.67  | SIMP: (4) implies:
% 174.34/27.67  |   (5)  all_52_9 = e0
% 174.34/27.67  | 
% 174.34/27.67  | REDUCE: (3), (5) imply:
% 174.34/27.67  |   (6)  $false
% 174.34/27.67  | 
% 174.34/27.67  | CLOSE: (6) is inconsistent.
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #902 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_54_4 = all_52_1
% 174.34/27.67    (2)  all_54_4 = e0
% 174.34/27.67    (3)   ~ (all_52_1 = e0)
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.67  |   (4)  all_52_1 = e0
% 174.34/27.67  | 
% 174.34/27.67  | SIMP: (4) implies:
% 174.34/27.67  |   (5)  all_52_1 = e0
% 174.34/27.67  | 
% 174.34/27.67  | REDUCE: (3), (5) imply:
% 174.34/27.67  |   (6)  $false
% 174.34/27.67  | 
% 174.34/27.67  | CLOSE: (6) is inconsistent.
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #903 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_54_9 = all_52_6
% 174.34/27.67    (2)  all_54_9 = e0
% 174.34/27.67    (3)   ~ (all_52_6 = e0)
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.67  |   (4)  all_52_6 = e0
% 174.34/27.67  | 
% 174.34/27.67  | SIMP: (4) implies:
% 174.34/27.67  |   (5)  all_52_6 = e0
% 174.34/27.67  | 
% 174.34/27.67  | REDUCE: (3), (5) imply:
% 174.34/27.67  |   (6)  $false
% 174.34/27.67  | 
% 174.34/27.67  | CLOSE: (6) is inconsistent.
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #904 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_58_23 = all_52_7
% 174.34/27.67    (2)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.34/27.67    (3)  all_56_12 = e1
% 174.34/27.67    (4)   ~ (all_52_6 = all_4_2)
% 174.34/27.67    (5)  all_58_18 = e0
% 174.34/27.67    (6)   ~ (all_52_1 = all_6_2)
% 174.34/27.67    (7)   ~ (all_4_1 = e0)
% 174.34/27.67    (8)  all_56_0 = all_6_2
% 174.34/27.67    (9)  op(all_4_2, e2) = all_4_1
% 174.34/27.67    (10)  all_58_17 = all_52_1
% 174.34/27.67    (11)  all_58_20 = e0
% 174.34/27.67    (12)  all_58_19 = all_52_3
% 174.34/27.67    (13)   ~ (e3 = e2)
% 174.34/27.67    (14)   ~ (e2 = e1)
% 174.34/27.67    (15)   ~ (all_52_1 = all_4_2)
% 174.34/27.67    (16)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.34/27.67    (17)  all_58_16 = all_6_2
% 174.34/27.67    (18)  all_56_2 = all_52_1
% 174.34/27.67    (19)   ~ (e3 = e0)
% 174.34/27.67    (20)  op(e3, e2) = e0
% 174.34/27.67    (21)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.34/27.67    (22)  all_56_6 = e0
% 174.34/27.67    (23)   ~ (all_52_7 = e0)
% 174.34/27.67    (24)  all_58_22 = all_52_6
% 174.34/27.67    (25)  all_56_3 = all_4_2
% 174.34/27.67    (26)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.34/27.67            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.34/27.67    (27)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 174.34/27.67    (28)  all_58_21 = all_4_2
% 174.34/27.67    (29)   ~ (all_52_3 = e0)
% 174.34/27.67    (30)   ~ (e2 = e0)
% 174.34/27.67    (31)   ~ (e1 = e0)
% 174.34/27.67    (32)  all_54_5 = all_4_2
% 174.34/27.67    (33)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | BETA: splitting (16) gives:
% 174.34/27.67  | 
% 174.34/27.67  | Case 1:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (34)  all_56_0 = e2
% 174.34/27.67  | | 
% 174.34/27.67  | | REF_CLOSE: (2), (5), (6), (8), (10), (12), (13), (17), (29), (31), (34) are
% 174.34/27.67  | |            inconsistent by sub-proof #907.
% 174.34/27.67  | | 
% 174.34/27.67  | Case 2:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (35)  all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.34/27.67  | | 
% 174.34/27.67  | | BETA: splitting (35) gives:
% 174.34/27.67  | | 
% 174.34/27.67  | | Case 1:
% 174.34/27.67  | | | 
% 174.34/27.67  | | |   (36)  all_56_2 = e2
% 174.34/27.67  | | | 
% 174.34/27.67  | | | COMBINE_EQS: (18), (36) imply:
% 174.34/27.67  | | |   (37)  all_52_1 = e2
% 174.34/27.67  | | | 
% 174.34/27.67  | | | REF_CLOSE: (1), (4), (7), (9), (11), (13), (15), (18), (19), (20), (21),
% 174.34/27.67  | | |            (23), (24), (25), (26), (27), (28), (32), (33), (37) are
% 174.34/27.67  | | |            inconsistent by sub-proof #906.
% 174.34/27.67  | | | 
% 174.34/27.67  | | Case 2:
% 174.34/27.67  | | | 
% 174.34/27.67  | | |   (38)  all_56_6 = e2 | all_56_12 = e2
% 174.34/27.67  | | | 
% 174.34/27.67  | | | REF_CLOSE: (3), (14), (22), (30), (38) are inconsistent by sub-proof #905.
% 174.34/27.67  | | | 
% 174.34/27.67  | | End of split
% 174.34/27.67  | | 
% 174.34/27.67  | End of split
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #905 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_56_12 = e1
% 174.34/27.67    (2)  all_56_6 = e2 | all_56_12 = e2
% 174.34/27.67    (3)   ~ (e2 = e1)
% 174.34/27.67    (4)  all_56_6 = e0
% 174.34/27.67    (5)   ~ (e2 = e0)
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | BETA: splitting (2) gives:
% 174.34/27.67  | 
% 174.34/27.67  | Case 1:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (6)  all_56_6 = e2
% 174.34/27.67  | | 
% 174.34/27.67  | | REF_CLOSE: (4), (5), (6) are inconsistent by sub-proof #954.
% 174.34/27.67  | | 
% 174.34/27.67  | Case 2:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (7)  all_56_12 = e2
% 174.34/27.67  | | 
% 174.34/27.67  | | COMBINE_EQS: (1), (7) imply:
% 174.34/27.67  | |   (8)  e2 = e1
% 174.34/27.67  | | 
% 174.34/27.67  | | REDUCE: (3), (8) imply:
% 174.34/27.67  | |   (9)  $false
% 174.34/27.67  | | 
% 174.34/27.67  | | CLOSE: (9) is inconsistent.
% 174.34/27.67  | | 
% 174.34/27.67  | End of split
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #906 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_58_23 = all_52_7
% 174.34/27.67    (2)   ~ (all_52_6 = all_4_2)
% 174.34/27.67    (3)   ~ (all_4_1 = e0)
% 174.34/27.67    (4)  op(all_4_2, e2) = all_4_1
% 174.34/27.67    (5)  all_58_20 = e0
% 174.34/27.67    (6)   ~ (e3 = e2)
% 174.34/27.67    (7)   ~ (all_52_1 = all_4_2)
% 174.34/27.67    (8)  all_56_2 = all_52_1
% 174.34/27.67    (9)   ~ (e3 = e0)
% 174.34/27.67    (10)  op(e3, e2) = e0
% 174.34/27.67    (11)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.34/27.67    (12)   ~ (all_52_7 = e0)
% 174.34/27.67    (13)  all_58_22 = all_52_6
% 174.34/27.67    (14)  all_56_3 = all_4_2
% 174.34/27.67    (15)  all_52_1 = e2
% 174.34/27.67    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.34/27.67            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.34/27.67    (17)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 174.34/27.67    (18)  all_58_21 = all_4_2
% 174.34/27.67    (19)  all_54_5 = all_4_2
% 174.34/27.67    (20)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | COMBINE_EQS: (8), (15) imply:
% 174.34/27.67  |   (21)  all_56_2 = e2
% 174.34/27.67  | 
% 174.34/27.67  | REDUCE: (7), (15) imply:
% 174.34/27.67  |   (22)   ~ (all_4_2 = e2)
% 174.34/27.67  | 
% 174.34/27.67  | SIMP: (22) implies:
% 174.34/27.67  |   (23)   ~ (all_4_2 = e2)
% 174.34/27.67  | 
% 174.34/27.67  | BETA: splitting (11) gives:
% 174.34/27.67  | 
% 174.34/27.67  | Case 1:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (24)  all_58_23 = e0
% 174.34/27.67  | | 
% 174.34/27.67  | | COMBINE_EQS: (1), (24) imply:
% 174.34/27.67  | |   (25)  all_52_7 = e0
% 174.34/27.67  | | 
% 174.34/27.67  | | REDUCE: (12), (25) imply:
% 174.34/27.67  | |   (26)  $false
% 174.34/27.67  | | 
% 174.34/27.67  | | CLOSE: (26) is inconsistent.
% 174.34/27.67  | | 
% 174.34/27.67  | Case 2:
% 174.34/27.67  | | 
% 174.34/27.67  | |   (27)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.34/27.67  | | 
% 174.34/27.67  | | REF_CLOSE: (2), (3), (4), (5), (6), (9), (10), (13), (14), (16), (17), (18),
% 174.34/27.67  | |            (19), (20), (21), (23), (27) are inconsistent by sub-proof #955.
% 174.34/27.67  | | 
% 174.34/27.67  | End of split
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #907 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.34/27.67    (2)  all_58_18 = e0
% 174.34/27.67    (3)   ~ (all_52_1 = all_6_2)
% 174.34/27.67    (4)  all_56_0 = all_6_2
% 174.34/27.67    (5)  all_58_17 = all_52_1
% 174.34/27.67    (6)  all_58_19 = all_52_3
% 174.34/27.67    (7)   ~ (e3 = e2)
% 174.34/27.67    (8)  all_58_16 = all_6_2
% 174.34/27.67    (9)  all_56_0 = e2
% 174.34/27.67    (10)   ~ (all_52_3 = e0)
% 174.34/27.67    (11)   ~ (e1 = e0)
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | COMBINE_EQS: (4), (9) imply:
% 174.34/27.67  |   (12)  all_6_2 = e2
% 174.34/27.67  | 
% 174.34/27.67  | COMBINE_EQS: (8), (12) imply:
% 174.34/27.67  |   (13)  all_58_16 = e2
% 174.34/27.67  | 
% 174.34/27.67  | REDUCE: (3), (12) imply:
% 174.34/27.67  |   (14)   ~ (all_52_1 = e2)
% 174.34/27.67  | 
% 174.34/27.67  | REF_CLOSE: (1), (2), (5), (6), (7), (10), (11), (13), (14) are inconsistent by
% 174.34/27.67  |            sub-proof #962.
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #908 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_56_9 = all_52_12
% 174.34/27.67    (2)  all_56_9 = e0
% 174.34/27.67    (3)   ~ (all_52_12 = e0)
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.67  |   (4)  all_52_12 = e0
% 174.34/27.67  | 
% 174.34/27.67  | SIMP: (4) implies:
% 174.34/27.67  |   (5)  all_52_12 = e0
% 174.34/27.67  | 
% 174.34/27.67  | REDUCE: (3), (5) imply:
% 174.34/27.67  |   (6)  $false
% 174.34/27.67  | 
% 174.34/27.67  | CLOSE: (6) is inconsistent.
% 174.34/27.67  | 
% 174.34/27.67  End of proof
% 174.34/27.67  
% 174.34/27.67  Sub-proof #909 shows that the following formulas are inconsistent:
% 174.34/27.67  ----------------------------------------------------------------
% 174.34/27.67    (1)  all_54_10 = all_10_2
% 174.34/27.67    (2)  all_54_10 = e0
% 174.34/27.67    (3)   ~ (all_10_2 = e0)
% 174.34/27.67  
% 174.34/27.67  Begin of proof
% 174.34/27.67  | 
% 174.34/27.67  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.67  |   (4)  all_10_2 = e0
% 174.34/27.67  | 
% 174.34/27.68  | SIMP: (4) implies:
% 174.34/27.68  |   (5)  all_10_2 = e0
% 174.34/27.68  | 
% 174.34/27.68  | REDUCE: (3), (5) imply:
% 174.34/27.68  |   (6)  $false
% 174.34/27.68  | 
% 174.34/27.68  | CLOSE: (6) is inconsistent.
% 174.34/27.68  | 
% 174.34/27.68  End of proof
% 174.34/27.68  
% 174.34/27.68  Sub-proof #910 shows that the following formulas are inconsistent:
% 174.34/27.68  ----------------------------------------------------------------
% 174.34/27.68    (1)  all_54_15 = all_14_2
% 174.34/27.68    (2)  all_54_15 = e0
% 174.34/27.68    (3)   ~ (all_14_2 = e0)
% 174.34/27.68  
% 174.34/27.68  Begin of proof
% 174.34/27.68  | 
% 174.34/27.68  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.68  |   (4)  all_14_2 = e0
% 174.34/27.68  | 
% 174.34/27.68  | SIMP: (4) implies:
% 174.34/27.68  |   (5)  all_14_2 = e0
% 174.34/27.68  | 
% 174.34/27.68  | REDUCE: (3), (5) imply:
% 174.34/27.68  |   (6)  $false
% 174.34/27.68  | 
% 174.34/27.68  | CLOSE: (6) is inconsistent.
% 174.34/27.68  | 
% 174.34/27.68  End of proof
% 174.34/27.68  
% 174.34/27.68  Sub-proof #911 shows that the following formulas are inconsistent:
% 174.34/27.68  ----------------------------------------------------------------
% 174.34/27.68    (1)  all_56_1 = all_52_4
% 174.34/27.68    (2)  all_56_12 = all_52_3
% 174.34/27.68    (3)  op(e3, all_52_12) = all_58_3
% 174.34/27.68    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 174.34/27.68    (5)  op(e1, all_52_14) = all_58_11
% 174.34/27.68    (6)   ~ (all_10_2 = e0)
% 174.34/27.68    (7)   ~ (e3 = e1)
% 174.34/27.68    (8)  all_58_23 = all_52_7
% 174.34/27.68    (9)   ~ (all_52_2 = all_6_2)
% 174.34/27.68    (10)   ~ (all_52_4 = all_4_2)
% 174.34/27.68    (11)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.34/27.68    (12)  op(all_14_1, e0) = all_14_0
% 174.34/27.68    (13)  op(e0, e0) = all_14_1
% 174.34/27.68    (14)  all_56_5 = all_52_9
% 174.34/27.68    (15)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 174.34/27.68    (16)   ~ (all_52_6 = all_4_2)
% 174.34/27.68    (17)  op(e3, all_6_2) = all_58_0
% 174.34/27.68    (18)  op(all_10_2, e1) = all_10_1
% 174.34/27.68    (19)  op(e1, all_10_2) = all_58_10
% 174.34/27.68    (20)   ~ (all_52_9 = all_4_2)
% 174.34/27.68    (21)  op(e1, e1) = all_10_2
% 174.34/27.68    (22)  all_56_14 = all_52_11
% 174.34/27.68    (23)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 174.34/27.68    (24)  all_56_8 = all_10_2
% 174.34/27.68    (25)  all_58_26 = all_10_2
% 174.34/27.68    (26)   ~ (all_52_3 = all_6_2)
% 174.34/27.68    (27)   ~ (all_52_1 = all_6_2)
% 174.34/27.68    (28)  all_56_11 = all_52_14
% 174.34/27.68    (29)   ~ (all_52_6 = all_52_7)
% 174.34/27.68    (30)   ~ (all_4_1 = e0)
% 174.34/27.68    (31)  all_56_0 = all_6_2
% 174.34/27.68    (32)   ~ (all_52_9 = all_10_2)
% 174.34/27.68    (33)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1 | all_58_27 = e0
% 174.34/27.68    (34)  all_58_27 = all_52_11
% 174.34/27.68    (35)  op(e3, e2) = all_52_4
% 174.34/27.68    (36)  op(all_4_2, e2) = all_4_1
% 174.34/27.68    (37)  all_56_6 = e1 | all_56_7 = e1 | all_56_8 = e1 | all_56_11 = e1
% 174.34/27.68    (38)  all_58_17 = all_52_1
% 174.34/27.68    (39)  op(e2, all_4_2) = all_58_5
% 174.34/27.68    (40)  all_58_19 = all_52_3
% 174.34/27.68    (41)  all_56_9 = all_52_12
% 174.34/27.68    (42)   ~ (all_52_2 = all_52_6)
% 174.34/27.68    (43)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 174.34/27.68    (44)  op(e2, e2) = all_4_2
% 174.34/27.68    (45)   ~ (e3 = e2)
% 174.34/27.68    (46)   ~ (all_52_4 = all_52_7)
% 174.34/27.68    (47)   ~ (e2 = e1)
% 174.34/27.68    (48)   ~ (all_52_6 = all_10_2)
% 174.34/27.68    (49)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.34/27.68    (50)   ~ (all_52_1 = all_4_2)
% 174.34/27.68    (51)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.34/27.68    (52)  all_58_18 = all_52_2
% 174.34/27.68    (53)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.34/27.68    (54)  all_56_1 = e0 | all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 174.34/27.68    (55)  all_58_16 = all_6_2
% 174.34/27.68    (56)  all_56_13 = all_52_7
% 174.34/27.68    (57)  all_56_4 = e0 | all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 174.34/27.68    (58)   ~ (all_52_8 = all_52_9)
% 174.34/27.68    (59)   ~ (all_52_4 = all_6_2)
% 174.34/27.68    (60)  all_56_2 = all_52_1
% 174.34/27.68    (61)   ~ (all_14_0 = e1)
% 174.34/27.68    (62)   ~ (e3 = e0)
% 174.34/27.68    (63)   ~ (all_52_1 = all_52_2)
% 174.34/27.68    (64)   ~ (all_52_13 = e0)
% 174.34/27.68    (65)   ~ (all_4_2 = e0)
% 174.34/27.68    (66)  op(e0, e0) = all_58_15
% 174.34/27.68    (67)   ~ (all_6_2 = e0)
% 174.34/27.68    (68)   ~ (all_52_6 = all_52_14)
% 174.34/27.68    (69)   ~ (all_52_8 = all_10_2)
% 174.34/27.68    (70)  all_56_4 = all_52_8
% 174.34/27.68    (71)  all_56_2 = e0 | all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 174.34/27.68    (72)  op(e0, e0) = e0
% 174.34/27.68    (73)  all_58_20 = all_52_4
% 174.34/27.68    (74)  all_54_10 = all_10_2
% 174.34/27.68    (75)  all_56_0 = e0 | all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 174.34/27.68    (76)  all_56_6 = e0 | all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 174.34/27.68    (77)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1 | all_58_23 = e0
% 174.34/27.68    (78)   ~ (all_52_8 = all_52_11)
% 174.34/27.68    (79)   ~ (all_52_8 = all_6_2)
% 174.34/27.68    (80)  all_56_6 = all_52_2
% 174.34/27.68    (81)   ~ (all_52_1 = all_52_9)
% 174.34/27.68    (82)  op(e3, e3) = all_6_2
% 174.34/27.68    (83)   ~ (all_52_7 = e0)
% 174.34/27.68    (84)  all_58_24 = all_52_8
% 174.34/27.68    (85)   ~ (all_52_9 = all_52_11)
% 174.34/27.68    (86)  all_58_22 = all_52_6
% 174.34/27.68    (87)  all_56_3 = all_4_2
% 174.34/27.68    (88)  all_56_0 = e1 | all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 174.34/27.68    (89)  all_54_0 = all_6_2
% 174.34/27.68    (90)   ~ (all_52_14 = all_10_2)
% 174.34/27.68    (91)   ~ (all_52_11 = e0)
% 174.34/27.68    (92)   ~ (all_52_2 = all_52_3)
% 174.34/27.68    (93)  all_58_25 = all_52_9
% 174.34/27.68    (94)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.34/27.68            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.34/27.68    (95)   ~ (all_52_2 = all_52_14)
% 174.34/27.68    (96)  all_58_21 = all_4_2
% 174.34/27.68    (97)  all_56_10 = all_52_13
% 174.34/27.68    (98)   ~ (all_52_3 = e0)
% 174.34/27.68    (99)   ~ (e2 = e0)
% 174.34/27.68    (100)   ~ (all_52_1 = all_52_3)
% 174.34/27.68    (101)   ~ (all_52_14 = e0)
% 174.34/27.68    (102)  all_56_7 = all_52_6
% 174.34/27.68    (103)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 174.34/27.68             (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 174.34/27.68             (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 174.34/27.68             (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 174.34/27.68             (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 174.34/27.68             (all_58_15 = e0))
% 174.34/27.68    (104)  all_54_5 = all_4_2
% 174.34/27.68    (105)   ~ (all_52_2 = all_10_2)
% 174.34/27.68    (106)  op(e1, e2) = all_52_6
% 174.34/27.68    (107)  all_56_0 = e3 | all_56_1 = e3 | all_56_4 = e3 | all_56_9 = e3
% 174.34/27.68    (108)  all_54_11 = all_52_14
% 174.34/27.68    (109)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.34/27.68  
% 174.34/27.68  Begin of proof
% 174.34/27.68  | 
% 174.34/27.68  | GROUND_INST: instantiating (94) with all_14_1, all_58_15, e0, e0, simplifying
% 174.34/27.68  |              with (13), (66) gives:
% 174.34/27.68  |   (110)  all_58_15 = all_14_1
% 174.34/27.68  | 
% 174.34/27.68  | GROUND_INST: instantiating (94) with e0, all_58_15, e0, e0, simplifying with
% 174.34/27.68  |              (66), (72) gives:
% 174.34/27.68  |   (111)  all_58_15 = e0
% 174.34/27.68  | 
% 174.34/27.68  | COMBINE_EQS: (110), (111) imply:
% 174.34/27.68  |   (112)  all_14_1 = e0
% 174.34/27.68  | 
% 174.34/27.68  | SIMP: (112) implies:
% 174.34/27.68  |   (113)  all_14_1 = e0
% 174.34/27.68  | 
% 174.34/27.68  | REDUCE: (12), (113) imply:
% 174.34/27.68  |   (114)  op(e0, e0) = all_14_0
% 174.34/27.68  | 
% 174.34/27.68  | GROUND_INST: instantiating (94) with e0, all_14_0, e0, e0, simplifying with
% 174.34/27.68  |              (72), (114) gives:
% 174.34/27.68  |   (115)  all_14_0 = e0
% 174.34/27.68  | 
% 174.34/27.68  | REDUCE: (61), (115) imply:
% 174.34/27.68  |   (116)   ~ (e1 = e0)
% 174.34/27.68  | 
% 174.34/27.68  | SIMP: (116) implies:
% 174.34/27.68  |   (117)   ~ (e1 = e0)
% 174.34/27.68  | 
% 174.34/27.68  | BETA: splitting (76) gives:
% 174.34/27.68  | 
% 174.34/27.68  | Case 1:
% 174.34/27.68  | | 
% 174.34/27.68  | |   (118)  all_56_6 = e0
% 174.34/27.68  | | 
% 174.34/27.68  | | COMBINE_EQS: (80), (118) imply:
% 174.34/27.68  | |   (119)  all_52_2 = e0
% 174.34/27.68  | | 
% 174.34/27.68  | | COMBINE_EQS: (52), (119) imply:
% 174.34/27.68  | |   (120)  all_58_18 = e0
% 174.34/27.68  | | 
% 174.34/27.68  | | REDUCE: (63), (119) imply:
% 174.34/27.68  | |   (121)   ~ (all_52_1 = e0)
% 174.34/27.68  | | 
% 174.34/27.68  | | REDUCE: (92), (119) imply:
% 174.34/27.68  | |   (122)   ~ (all_52_3 = e0)
% 174.34/27.68  | | 
% 174.34/27.68  | | REDUCE: (42), (119) imply:
% 174.34/27.68  | |   (123)   ~ (all_52_6 = e0)
% 174.34/27.68  | | 
% 174.34/27.68  | | SIMP: (123) implies:
% 174.34/27.68  | |   (124)   ~ (all_52_6 = e0)
% 174.34/27.68  | | 
% 174.34/27.68  | | BETA: splitting (71) gives:
% 174.34/27.68  | | 
% 174.34/27.68  | | Case 1:
% 174.34/27.68  | | | 
% 174.34/27.68  | | |   (125)  all_56_2 = e0
% 174.34/27.68  | | | 
% 174.34/27.68  | | | COMBINE_EQS: (60), (125) imply:
% 174.34/27.68  | | |   (126)  all_52_1 = e0
% 174.34/27.68  | | | 
% 174.34/27.68  | | | REDUCE: (121), (126) imply:
% 174.34/27.68  | | |   (127)  $false
% 174.34/27.68  | | | 
% 174.34/27.68  | | | CLOSE: (127) is inconsistent.
% 174.34/27.68  | | | 
% 174.34/27.68  | | Case 2:
% 174.34/27.68  | | | 
% 174.34/27.68  | | |   (128)  all_56_3 = e0 | all_56_5 = e0 | all_56_10 = e0
% 174.34/27.68  | | | 
% 174.34/27.68  | | | BETA: splitting (54) gives:
% 174.34/27.68  | | | 
% 174.34/27.68  | | | Case 1:
% 174.34/27.68  | | | | 
% 174.34/27.68  | | | |   (129)  all_56_1 = e0
% 174.34/27.68  | | | | 
% 174.34/27.68  | | | | COMBINE_EQS: (1), (129) imply:
% 174.34/27.68  | | | |   (130)  all_52_4 = e0
% 174.34/27.68  | | | | 
% 174.34/27.68  | | | | SIMP: (130) implies:
% 174.34/27.68  | | | |   (131)  all_52_4 = e0
% 174.34/27.68  | | | | 
% 174.34/27.68  | | | | COMBINE_EQS: (73), (131) imply:
% 174.34/27.68  | | | |   (132)  all_58_20 = e0
% 174.34/27.68  | | | | 
% 174.34/27.68  | | | | REDUCE: (46), (131) imply:
% 174.34/27.68  | | | |   (133)   ~ (all_52_7 = e0)
% 174.34/27.68  | | | | 
% 174.34/27.68  | | | | REDUCE: (59), (131) imply:
% 174.34/27.68  | | | |   (134)   ~ (all_6_2 = e0)
% 174.34/27.68  | | | | 
% 174.34/27.68  | | | | REDUCE: (10), (131) imply:
% 174.34/27.68  | | | |   (135)   ~ (all_4_2 = e0)
% 174.34/27.68  | | | | 
% 174.34/27.68  | | | | REDUCE: (35), (131) imply:
% 174.34/27.68  | | | |   (136)  op(e3, e2) = e0
% 174.34/27.68  | | | | 
% 174.34/27.68  | | | | BETA: splitting (128) gives:
% 174.34/27.68  | | | | 
% 174.34/27.68  | | | | Case 1:
% 174.34/27.68  | | | | | 
% 174.34/27.68  | | | | |   (137)  all_56_3 = e0
% 174.34/27.68  | | | | | 
% 174.34/27.68  | | | | | COMBINE_EQS: (87), (137) imply:
% 174.34/27.68  | | | | |   (138)  all_4_2 = e0
% 174.34/27.68  | | | | | 
% 174.34/27.68  | | | | | REDUCE: (65), (138) imply:
% 174.34/27.68  | | | | |   (139)  $false
% 174.34/27.68  | | | | | 
% 174.34/27.68  | | | | | CLOSE: (139) is inconsistent.
% 174.34/27.68  | | | | | 
% 174.34/27.68  | | | | Case 2:
% 174.34/27.68  | | | | | 
% 174.34/27.68  | | | | |   (140)  all_56_5 = e0 | all_56_10 = e0
% 174.34/27.68  | | | | | 
% 174.34/27.68  | | | | | BETA: splitting (140) gives:
% 174.34/27.68  | | | | | 
% 174.34/27.68  | | | | | Case 1:
% 174.34/27.68  | | | | | | 
% 174.34/27.68  | | | | | |   (141)  all_56_5 = e0
% 174.34/27.68  | | | | | | 
% 174.34/27.68  | | | | | | COMBINE_EQS: (14), (141) imply:
% 174.34/27.68  | | | | | |   (142)  all_52_9 = e0
% 174.34/27.68  | | | | | | 
% 174.34/27.68  | | | | | | COMBINE_EQS: (93), (142) imply:
% 174.34/27.68  | | | | | |   (143)  all_58_25 = e0
% 174.34/27.68  | | | | | | 
% 174.34/27.68  | | | | | | REDUCE: (58), (142) imply:
% 174.34/27.68  | | | | | |   (144)   ~ (all_52_8 = e0)
% 174.34/27.68  | | | | | | 
% 174.34/27.68  | | | | | | REDUCE: (85), (142) imply:
% 174.34/27.68  | | | | | |   (145)   ~ (all_52_11 = e0)
% 174.34/27.68  | | | | | | 
% 174.34/27.68  | | | | | | BETA: splitting (4) gives:
% 174.34/27.68  | | | | | | 
% 174.34/27.68  | | | | | | Case 1:
% 174.34/27.68  | | | | | | | 
% 174.34/27.68  | | | | | | |   (146)  all_54_0 = e0
% 174.34/27.68  | | | | | | | 
% 174.34/27.68  | | | | | | | REF_CLOSE: (67), (89), (146) are inconsistent by sub-proof #984.
% 174.34/27.68  | | | | | | | 
% 174.34/27.68  | | | | | | Case 2:
% 174.34/27.68  | | | | | | | 
% 174.34/27.68  | | | | | | |   (147)   ~ (all_54_0 = e0)
% 174.34/27.68  | | | | | | |   (148)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1
% 174.34/27.68  | | | | | | | 
% 174.34/27.68  | | | | | | | BETA: splitting (15) gives:
% 174.34/27.68  | | | | | | | 
% 174.34/27.68  | | | | | | | Case 1:
% 174.34/27.68  | | | | | | | | 
% 174.34/27.68  | | | | | | | |   (149)  all_54_5 = e0
% 174.34/27.68  | | | | | | | | 
% 174.34/27.68  | | | | | | | | REF_CLOSE: (65), (104), (149) are inconsistent by sub-proof
% 174.34/27.68  | | | | | | | |            #983.
% 174.34/27.68  | | | | | | | | 
% 174.34/27.68  | | | | | | | Case 2:
% 174.34/27.68  | | | | | | | | 
% 174.34/27.68  | | | | | | | |   (150)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 174.34/27.68  | | | | | | | | 
% 174.34/27.68  | | | | | | | | BETA: splitting (33) gives:
% 174.34/27.68  | | | | | | | | 
% 174.34/27.68  | | | | | | | | Case 1:
% 174.34/27.68  | | | | | | | | | 
% 174.34/27.68  | | | | | | | | |   (151)  all_58_27 = e0
% 174.34/27.68  | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | COMBINE_EQS: (34), (151) imply:
% 174.34/27.68  | | | | | | | | |   (152)  all_52_11 = e0
% 174.34/27.68  | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | REDUCE: (91), (152) imply:
% 174.34/27.68  | | | | | | | | |   (153)  $false
% 174.34/27.68  | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | CLOSE: (153) is inconsistent.
% 174.34/27.68  | | | | | | | | | 
% 174.34/27.68  | | | | | | | | Case 2:
% 174.34/27.68  | | | | | | | | | 
% 174.34/27.68  | | | | | | | | |   (154)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.34/27.68  | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | BETA: splitting (11) gives:
% 174.34/27.68  | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | Case 1:
% 174.34/27.68  | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | |   (155)  all_58_19 = e0
% 174.34/27.68  | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | COMBINE_EQS: (40), (155) imply:
% 174.34/27.68  | | | | | | | | | |   (156)  all_52_3 = e0
% 174.34/27.68  | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | REDUCE: (98), (156) imply:
% 174.34/27.68  | | | | | | | | | |   (157)  $false
% 174.34/27.68  | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | CLOSE: (157) is inconsistent.
% 174.34/27.68  | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | Case 2:
% 174.34/27.68  | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | |   (158)   ~ (all_58_19 = e0)
% 174.34/27.68  | | | | | | | | | |   (159)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.34/27.68  | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | BETA: splitting (77) gives:
% 174.34/27.68  | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | Case 1:
% 174.34/27.68  | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | |   (160)  all_58_23 = e0
% 174.34/27.68  | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | REF_CLOSE: (8), (83), (160) are inconsistent by sub-proof
% 174.34/27.68  | | | | | | | | | | |            #982.
% 174.34/27.68  | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | Case 2:
% 174.34/27.68  | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | |   (161)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.34/27.68  | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | BETA: splitting (88) gives:
% 174.34/27.68  | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | Case 1:
% 174.34/27.68  | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | |   (162)  all_56_0 = e1
% 174.34/27.68  | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | REF_CLOSE: (3), (7), (16), (25), (27), (30), (31), (36),
% 174.34/27.68  | | | | | | | | | | | |            (38), (41), (45), (48), (49), (50), (55), (62),
% 174.34/27.68  | | | | | | | | | | | |            (67), (70), (84), (86), (94), (96), (104), (120),
% 174.34/27.68  | | | | | | | | | | | |            (121), (129), (132), (136), (143), (150), (154),
% 174.34/27.68  | | | | | | | | | | | |            (159), (161), (162) are inconsistent by sub-proof
% 174.34/27.68  | | | | | | | | | | | |            #969.
% 174.34/27.68  | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | Case 2:
% 174.34/27.68  | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | |   (163)   ~ (all_56_0 = e1)
% 174.34/27.68  | | | | | | | | | | | |   (164)  all_56_1 = e1 | all_56_4 = e1 | all_56_9 = e1
% 174.34/27.68  | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | REDUCE: (31), (163) imply:
% 174.34/27.68  | | | | | | | | | | | |   (165)   ~ (all_6_2 = e1)
% 174.34/27.68  | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | BETA: splitting (164) gives:
% 174.34/27.68  | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | Case 1:
% 174.34/27.68  | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | |   (166)  all_56_1 = e1
% 174.34/27.68  | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | COMBINE_EQS: (129), (166) imply:
% 174.34/27.68  | | | | | | | | | | | | |   (167)  e1 = e0
% 174.34/27.68  | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | REDUCE: (117), (167) imply:
% 174.34/27.68  | | | | | | | | | | | | |   (168)  $false
% 174.34/27.68  | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | CLOSE: (168) is inconsistent.
% 174.34/27.68  | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | Case 2:
% 174.34/27.68  | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | |   (169)   ~ (all_56_1 = e1)
% 174.34/27.68  | | | | | | | | | | | | |   (170)  all_56_4 = e1 | all_56_9 = e1
% 174.34/27.68  | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | BETA: splitting (170) gives:
% 174.34/27.68  | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | Case 1:
% 174.34/27.68  | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | |   (171)  all_56_4 = e1
% 174.34/27.68  | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | REF_CLOSE: (7), (25), (69), (70), (84), (99), (143), (154),
% 174.34/27.68  | | | | | | | | | | | | | |            (171) are inconsistent by sub-proof #965.
% 174.34/27.68  | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | Case 2:
% 174.34/27.68  | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | |   (172)  all_56_9 = e1
% 174.34/27.68  | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | BETA: splitting (49) gives:
% 174.34/27.68  | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | Case 1:
% 174.34/27.68  | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | |   (173)  all_56_0 = e2
% 174.34/27.68  | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | COMBINE_EQS: (31), (173) imply:
% 174.34/27.68  | | | | | | | | | | | | | | |   (174)  all_6_2 = e2
% 174.34/27.68  | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | SIMP: (174) implies:
% 174.34/27.68  | | | | | | | | | | | | | | |   (175)  all_6_2 = e2
% 174.34/27.68  | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | REDUCE: (26), (175) imply:
% 174.34/27.68  | | | | | | | | | | | | | | |   (176)   ~ (all_52_3 = e2)
% 174.34/27.68  | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | REF_CLOSE: (2), (11), (16), (27), (30), (31), (36), (38),
% 174.34/27.68  | | | | | | | | | | | | | | |            (40), (45), (50), (53), (55), (60), (62), (86),
% 174.34/27.68  | | | | | | | | | | | | | | |            (87), (94), (96), (98), (99), (104), (109), (117),
% 174.34/27.68  | | | | | | | | | | | | | | |            (118), (120), (132), (136), (150), (161), (176)
% 174.34/27.68  | | | | | | | | | | | | | | |            are inconsistent by sub-proof #952.
% 174.34/27.68  | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | Case 2:
% 174.34/27.68  | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | |   (177)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.34/27.68  | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | BETA: splitting (148) gives:
% 174.34/27.68  | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | Case 1:
% 174.34/27.68  | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | |   (178)  all_54_0 = e1
% 174.34/27.68  | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | REF_CLOSE: (89), (165), (178) are inconsistent by sub-proof
% 174.34/27.68  | | | | | | | | | | | | | | | |            #951.
% 174.34/27.68  | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | Case 2:
% 174.34/27.68  | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | |   (179)  all_54_0 = e3 | all_54_0 = e2
% 174.34/27.68  | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 174.34/27.68  | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.68  | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | |   (180)  all_56_1 = e2
% 174.34/27.68  | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | REF_CLOSE: (99), (129), (180) are inconsistent by sub-proof
% 174.34/27.68  | | | | | | | | | | | | | | | | |            #950.
% 174.34/27.68  | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.68  | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | |   (181)  all_56_4 = e2 | all_56_9 = e2
% 174.34/27.68  | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 174.34/27.68  | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | |   (182)  all_56_4 = e2
% 174.34/27.68  | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (70), (182) imply:
% 174.34/27.68  | | | | | | | | | | | | | | | | | |   (183)  all_52_8 = e2
% 174.34/27.68  | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (84), (183) imply:
% 174.34/27.68  | | | | | | | | | | | | | | | | | |   (184)  all_58_24 = e2
% 174.34/27.68  | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | REDUCE: (79), (183) imply:
% 174.34/27.68  | | | | | | | | | | | | | | | | | |   (185)   ~ (all_6_2 = e2)
% 174.34/27.68  | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | SIMP: (185) implies:
% 174.34/27.68  | | | | | | | | | | | | | | | | | |   (186)   ~ (all_6_2 = e2)
% 174.34/27.68  | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | |   (187)  all_56_0 = e3
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (31), (187) imply:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | |   (188)  all_6_2 = e3
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | SIMP: (188) implies:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | |   (189)  all_6_2 = e3
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | REDUCE: (17), (189) imply:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | |   (190)  op(e3, e3) = all_58_0
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | REDUCE: (82), (189) imply:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | |   (191)  op(e3, e3) = e3
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | BETA: splitting (154) gives:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | |   (192)  all_58_26 = e1
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (25), (192) imply:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | |   (193)  all_10_2 = e1
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | SIMP: (193) implies:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | |   (194)  all_10_2 = e1
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (194) imply:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | |   (195)   ~ (all_52_6 = e1)
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (194) imply:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | |   (196)  op(e1, e1) = all_10_1
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (194) imply:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | |   (197)  op(e1, e1) = all_58_10
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (194) imply:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | |   (198)  op(e1, e1) = e1
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | |   (199)  all_58_22 = e1
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (86), (199) imply:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | |   (200)  all_52_6 = e1
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | REDUCE: (195), (200) imply:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | |   (201)  $false
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | CLOSE: (201) is inconsistent.
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | |   (202)  all_58_20 = e3 | all_58_21 = e2
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | |   (203)  all_58_21 = e2
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (96), (203) imply:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | |   (204)  all_4_2 = e2
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (204) imply:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | |   (205)  op(e2, e2) = all_58_5
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (204) imply:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | |   (206)  op(e2, e2) = e2
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (103), (111), (190), (191), (196), (197),
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | |            (198), (205), (206) are inconsistent by sub-proof
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | |            #949.
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | |   (207)  all_58_20 = e3
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (62), (132), (207) are inconsistent by sub-proof
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | |            #948.
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | |   (208)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (99), (143), (184), (208) are inconsistent
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | |            by sub-proof #947.
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | |   (209)   ~ (all_56_0 = e3)
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | REDUCE: (31), (209) imply:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | |   (210)   ~ (all_6_2 = e3)
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (89), (179), (186), (210) are inconsistent by
% 174.34/27.68  | | | | | | | | | | | | | | | | | | |            sub-proof #944.
% 174.34/27.68  | | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | End of split
% 174.34/27.68  | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | Case 2:
% 174.34/27.68  | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | |   (211)  all_56_9 = e2
% 174.34/27.68  | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (172), (211) imply:
% 174.34/27.68  | | | | | | | | | | | | | | | | | |   (212)  e2 = e1
% 174.34/27.68  | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | REDUCE: (47), (212) imply:
% 174.34/27.68  | | | | | | | | | | | | | | | | | |   (213)  $false
% 174.34/27.68  | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | | CLOSE: (213) is inconsistent.
% 174.34/27.68  | | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | | End of split
% 174.34/27.68  | | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | | End of split
% 174.34/27.68  | | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | | End of split
% 174.34/27.68  | | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | End of split
% 174.34/27.68  | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | End of split
% 174.34/27.68  | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | End of split
% 174.34/27.68  | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | End of split
% 174.34/27.68  | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | End of split
% 174.34/27.68  | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | End of split
% 174.34/27.68  | | | | | | | | | 
% 174.34/27.68  | | | | | | | | End of split
% 174.34/27.68  | | | | | | | | 
% 174.34/27.68  | | | | | | | End of split
% 174.34/27.68  | | | | | | | 
% 174.34/27.68  | | | | | | End of split
% 174.34/27.68  | | | | | | 
% 174.34/27.68  | | | | | Case 2:
% 174.34/27.68  | | | | | | 
% 174.34/27.68  | | | | | |   (214)  all_56_10 = e0
% 174.34/27.68  | | | | | | 
% 174.34/27.68  | | | | | | REF_CLOSE: (64), (97), (214) are inconsistent by sub-proof #943.
% 174.34/27.68  | | | | | | 
% 174.34/27.68  | | | | | End of split
% 174.34/27.68  | | | | | 
% 174.34/27.68  | | | | End of split
% 174.34/27.68  | | | | 
% 174.34/27.68  | | | Case 2:
% 174.34/27.68  | | | | 
% 174.34/27.68  | | | |   (215)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 174.34/27.68  | | | | 
% 174.34/27.68  | | | | REF_CLOSE: (56), (65), (83), (87), (102), (124), (215) are inconsistent
% 174.34/27.68  | | | |            by sub-proof #940.
% 174.34/27.68  | | | | 
% 174.34/27.68  | | | End of split
% 174.34/27.68  | | | 
% 174.34/27.68  | | End of split
% 174.34/27.68  | | 
% 174.34/27.68  | Case 2:
% 174.34/27.68  | | 
% 174.34/27.68  | |   (216)   ~ (all_56_6 = e0)
% 174.34/27.68  | |   (217)  all_56_7 = e0 | all_56_8 = e0 | all_56_11 = e0
% 174.34/27.68  | | 
% 174.34/27.68  | | REDUCE: (80), (216) imply:
% 174.34/27.68  | |   (218)   ~ (all_52_2 = e0)
% 174.34/27.68  | | 
% 174.34/27.68  | | BETA: splitting (75) gives:
% 174.34/27.68  | | 
% 174.34/27.68  | | Case 1:
% 174.34/27.68  | | | 
% 174.34/27.68  | | |   (219)  all_56_0 = e0
% 174.34/27.68  | | | 
% 174.34/27.68  | | | REF_CLOSE: (31), (67), (219) are inconsistent by sub-proof #939.
% 174.34/27.68  | | | 
% 174.34/27.68  | | Case 2:
% 174.34/27.68  | | | 
% 174.34/27.68  | | |   (220)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 174.34/27.68  | | | 
% 174.34/27.68  | | | BETA: splitting (220) gives:
% 174.34/27.68  | | | 
% 174.34/27.68  | | | Case 1:
% 174.34/27.68  | | | | 
% 174.34/27.68  | | | |   (221)  all_56_2 = e0
% 174.34/27.68  | | | | 
% 174.34/27.68  | | | | COMBINE_EQS: (60), (221) imply:
% 174.34/27.68  | | | |   (222)  all_52_1 = e0
% 174.34/27.68  | | | | 
% 174.34/27.68  | | | | COMBINE_EQS: (38), (222) imply:
% 174.34/27.68  | | | |   (223)  all_58_17 = e0
% 174.34/27.68  | | | | 
% 174.34/27.68  | | | | REDUCE: (100), (222) imply:
% 174.34/27.68  | | | |   (224)   ~ (all_52_3 = e0)
% 174.34/27.68  | | | | 
% 174.34/27.68  | | | | BETA: splitting (217) gives:
% 174.34/27.68  | | | | 
% 174.34/27.68  | | | | Case 1:
% 174.34/27.68  | | | | | 
% 174.34/27.68  | | | | |   (225)  all_56_7 = e0
% 174.34/27.68  | | | | | 
% 174.34/27.68  | | | | | COMBINE_EQS: (102), (225) imply:
% 174.34/27.68  | | | | |   (226)  all_52_6 = e0
% 174.34/27.68  | | | | | 
% 174.34/27.68  | | | | | COMBINE_EQS: (86), (226) imply:
% 174.34/27.68  | | | | |   (227)  all_58_22 = e0
% 174.34/27.68  | | | | | 
% 174.34/27.68  | | | | | REDUCE: (29), (226) imply:
% 174.34/27.68  | | | | |   (228)   ~ (all_52_7 = e0)
% 174.34/27.68  | | | | | 
% 174.34/27.68  | | | | | REDUCE: (68), (226) imply:
% 174.34/27.68  | | | | |   (229)   ~ (all_52_14 = e0)
% 174.34/27.68  | | | | | 
% 174.34/27.68  | | | | | REDUCE: (48), (226) imply:
% 174.34/27.68  | | | | |   (230)   ~ (all_10_2 = e0)
% 174.34/27.68  | | | | | 
% 174.34/27.68  | | | | | REDUCE: (16), (226) imply:
% 174.34/27.68  | | | | |   (231)   ~ (all_4_2 = e0)
% 174.34/27.68  | | | | | 
% 174.34/27.68  | | | | | REDUCE: (106), (226) imply:
% 174.34/27.68  | | | | |   (232)  op(e1, e2) = e0
% 174.34/27.68  | | | | | 
% 174.34/27.68  | | | | | BETA: splitting (57) gives:
% 174.34/27.68  | | | | | 
% 174.34/27.68  | | | | | Case 1:
% 174.34/27.68  | | | | | | 
% 174.34/27.68  | | | | | |   (233)  all_56_4 = e0
% 174.34/27.68  | | | | | | 
% 174.34/27.68  | | | | | | COMBINE_EQS: (70), (233) imply:
% 174.34/27.68  | | | | | |   (234)  all_52_8 = e0
% 174.34/27.68  | | | | | | 
% 174.34/27.68  | | | | | | COMBINE_EQS: (84), (234) imply:
% 174.34/27.68  | | | | | |   (235)  all_58_24 = e0
% 174.34/27.68  | | | | | | 
% 174.34/27.68  | | | | | | REDUCE: (78), (234) imply:
% 174.34/27.68  | | | | | |   (236)   ~ (all_52_11 = e0)
% 174.34/27.68  | | | | | | 
% 174.34/27.68  | | | | | | REDUCE: (79), (234) imply:
% 174.34/27.68  | | | | | |   (237)   ~ (all_6_2 = e0)
% 174.34/27.68  | | | | | | 
% 174.34/27.68  | | | | | | BETA: splitting (15) gives:
% 174.34/27.68  | | | | | | 
% 174.34/27.68  | | | | | | Case 1:
% 174.34/27.68  | | | | | | | 
% 174.34/27.68  | | | | | | |   (238)  all_54_5 = e0
% 174.34/27.68  | | | | | | | 
% 174.34/27.68  | | | | | | | COMBINE_EQS: (104), (238) imply:
% 174.34/27.68  | | | | | | |   (239)  all_4_2 = e0
% 174.34/27.68  | | | | | | | 
% 174.34/27.68  | | | | | | | REDUCE: (65), (239) imply:
% 174.34/27.68  | | | | | | |   (240)  $false
% 174.34/27.68  | | | | | | | 
% 174.34/27.68  | | | | | | | CLOSE: (240) is inconsistent.
% 174.34/27.68  | | | | | | | 
% 174.34/27.68  | | | | | | Case 2:
% 174.34/27.68  | | | | | | | 
% 174.34/27.68  | | | | | | |   (241)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 174.34/27.68  | | | | | | | 
% 174.34/27.68  | | | | | | | BETA: splitting (43) gives:
% 174.34/27.68  | | | | | | | 
% 174.34/27.68  | | | | | | | Case 1:
% 174.34/27.68  | | | | | | | | 
% 174.34/27.68  | | | | | | | |   (242)  all_54_10 = e0
% 174.34/27.68  | | | | | | | | 
% 174.34/27.68  | | | | | | | | COMBINE_EQS: (74), (242) imply:
% 174.34/27.68  | | | | | | | |   (243)  all_10_2 = e0
% 174.34/27.68  | | | | | | | | 
% 174.34/27.68  | | | | | | | | REDUCE: (6), (243) imply:
% 174.34/27.68  | | | | | | | |   (244)  $false
% 174.34/27.68  | | | | | | | | 
% 174.34/27.68  | | | | | | | | CLOSE: (244) is inconsistent.
% 174.34/27.68  | | | | | | | | 
% 174.34/27.68  | | | | | | | Case 2:
% 174.34/27.68  | | | | | | | | 
% 174.34/27.68  | | | | | | | |   (245)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 174.34/27.68  | | | | | | | | 
% 174.34/27.68  | | | | | | | | BETA: splitting (23) gives:
% 174.34/27.68  | | | | | | | | 
% 174.34/27.68  | | | | | | | | Case 1:
% 174.34/27.68  | | | | | | | | | 
% 174.34/27.68  | | | | | | | | |   (246)  all_54_11 = e0
% 174.34/27.68  | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | COMBINE_EQS: (108), (246) imply:
% 174.34/27.68  | | | | | | | | |   (247)  all_52_14 = e0
% 174.34/27.68  | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | REDUCE: (101), (247) imply:
% 174.34/27.68  | | | | | | | | |   (248)  $false
% 174.34/27.68  | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | CLOSE: (248) is inconsistent.
% 174.34/27.68  | | | | | | | | | 
% 174.34/27.68  | | | | | | | | Case 2:
% 174.34/27.68  | | | | | | | | | 
% 174.34/27.68  | | | | | | | | |   (249)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 174.34/27.68  | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | BETA: splitting (33) gives:
% 174.34/27.68  | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | Case 1:
% 174.34/27.68  | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | |   (250)  all_58_27 = e0
% 174.34/27.68  | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | COMBINE_EQS: (34), (250) imply:
% 174.34/27.68  | | | | | | | | | |   (251)  all_52_11 = e0
% 174.34/27.68  | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | REDUCE: (91), (251) imply:
% 174.34/27.68  | | | | | | | | | |   (252)  $false
% 174.34/27.68  | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | CLOSE: (252) is inconsistent.
% 174.34/27.68  | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | Case 2:
% 174.34/27.68  | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | |   (253)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.34/27.68  | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | BETA: splitting (11) gives:
% 174.34/27.68  | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | Case 1:
% 174.34/27.68  | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | |   (254)  all_58_19 = e0
% 174.34/27.68  | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | COMBINE_EQS: (40), (254) imply:
% 174.34/27.68  | | | | | | | | | | |   (255)  all_52_3 = e0
% 174.34/27.68  | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | REDUCE: (98), (255) imply:
% 174.34/27.68  | | | | | | | | | | |   (256)  $false
% 174.34/27.68  | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | CLOSE: (256) is inconsistent.
% 174.34/27.68  | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | Case 2:
% 174.34/27.68  | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | |   (257)   ~ (all_58_19 = e0)
% 174.34/27.68  | | | | | | | | | | |   (258)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.34/27.68  | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | BETA: splitting (77) gives:
% 174.34/27.68  | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | Case 1:
% 174.34/27.68  | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | |   (259)  all_58_23 = e0
% 174.34/27.68  | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | REF_CLOSE: (8), (83), (259) are inconsistent by sub-proof
% 174.34/27.68  | | | | | | | | | | | |            #982.
% 174.34/27.68  | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | Case 2:
% 174.34/27.68  | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | |   (260)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.34/27.68  | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | BETA: splitting (37) gives:
% 174.34/27.68  | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | Case 1:
% 174.34/27.68  | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | |   (261)  all_56_6 = e1
% 174.34/27.68  | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | COMBINE_EQS: (80), (261) imply:
% 174.34/27.68  | | | | | | | | | | | | |   (262)  all_52_2 = e1
% 174.34/27.68  | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | REDUCE: (92), (262) imply:
% 174.34/27.68  | | | | | | | | | | | | |   (263)   ~ (all_52_3 = e1)
% 174.34/27.68  | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | SIMP: (263) implies:
% 174.34/27.68  | | | | | | | | | | | | |   (264)   ~ (all_52_3 = e1)
% 174.34/27.68  | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | REF_CLOSE: (2), (5), (7), (9), (10), (11), (20), (25), (30),
% 174.34/27.68  | | | | | | | | | | | | |            (31), (32), (36), (40), (51), (52), (55), (62),
% 174.34/27.68  | | | | | | | | | | | | |            (73), (74), (80), (90), (92), (93), (94), (95),
% 174.34/27.68  | | | | | | | | | | | | |            (96), (98), (99), (104), (105), (108), (117),
% 174.34/27.68  | | | | | | | | | | | | |            (218), (221), (223), (227), (232), (235), (241),
% 174.34/27.68  | | | | | | | | | | | | |            (245), (249), (253), (260), (264) are inconsistent
% 174.34/27.68  | | | | | | | | | | | | |            by sub-proof #925.
% 174.34/27.68  | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | Case 2:
% 174.34/27.68  | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | |   (265)   ~ (all_56_6 = e1)
% 174.34/27.68  | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | REDUCE: (80), (265) imply:
% 174.34/27.68  | | | | | | | | | | | | |   (266)   ~ (all_52_2 = e1)
% 174.34/27.68  | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | BETA: splitting (258) gives:
% 174.34/27.68  | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | Case 1:
% 174.34/27.68  | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | |   (267)  all_58_18 = e1
% 174.34/27.68  | | | | | | | | | | | | | | 
% 174.34/27.68  | | | | | | | | | | | | | | REF_CLOSE: (52), (266), (267) are inconsistent by sub-proof
% 174.34/27.68  | | | | | | | | | | | | | |            #924.
% 174.34/27.68  | | | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | | Case 2:
% 174.34/27.69  | | | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | | |   (268)  all_58_16 = e3 | all_58_17 = e2
% 174.34/27.69  | | | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 174.34/27.69  | | | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | | | Case 1:
% 174.34/27.69  | | | | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | | | |   (269)  all_58_17 = e2
% 174.34/27.69  | | | | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | | | | COMBINE_EQS: (223), (269) imply:
% 174.34/27.69  | | | | | | | | | | | | | | |   (270)  e2 = e0
% 174.34/27.69  | | | | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | | | | REDUCE: (99), (270) imply:
% 174.34/27.69  | | | | | | | | | | | | | | |   (271)  $false
% 174.34/27.69  | | | | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | | | | CLOSE: (271) is inconsistent.
% 174.34/27.69  | | | | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | | | Case 2:
% 174.34/27.69  | | | | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | | | |   (272)  all_58_16 = e3
% 174.34/27.69  | | | | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | | | | COMBINE_EQS: (55), (272) imply:
% 174.34/27.69  | | | | | | | | | | | | | | |   (273)  all_6_2 = e3
% 174.34/27.69  | | | | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (19), (20), (21), (25), (39), (44),
% 174.34/27.69  | | | | | | | | | | | | | | |            (59), (67), (73), (82), (93), (94), (96), (103),
% 174.34/27.69  | | | | | | | | | | | | | | |            (111), (117), (227), (235), (253), (260), (273)
% 174.34/27.69  | | | | | | | | | | | | | | |            are inconsistent by sub-proof #920.
% 174.34/27.69  | | | | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | | | End of split
% 174.34/27.69  | | | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | | End of split
% 174.34/27.69  | | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | End of split
% 174.34/27.69  | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | End of split
% 174.34/27.69  | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | End of split
% 174.34/27.69  | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | End of split
% 174.34/27.69  | | | | | | | | | 
% 174.34/27.69  | | | | | | | | End of split
% 174.34/27.69  | | | | | | | | 
% 174.34/27.69  | | | | | | | End of split
% 174.34/27.69  | | | | | | | 
% 174.34/27.69  | | | | | | End of split
% 174.34/27.69  | | | | | | 
% 174.34/27.69  | | | | | Case 2:
% 174.34/27.69  | | | | | | 
% 174.34/27.69  | | | | | |   (274)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 174.34/27.69  | | | | | | 
% 174.34/27.69  | | | | | | REF_CLOSE: (2), (6), (14), (22), (24), (60), (80), (81), (91), (98),
% 174.34/27.69  | | | | | |            (218), (220), (274) are inconsistent by sub-proof #913.
% 174.34/27.69  | | | | | | 
% 174.34/27.69  | | | | | End of split
% 174.34/27.69  | | | | | 
% 174.34/27.69  | | | | Case 2:
% 174.34/27.69  | | | | | 
% 174.34/27.69  | | | | |   (275)  all_56_8 = e0 | all_56_11 = e0
% 174.34/27.69  | | | | | 
% 174.34/27.69  | | | | | REF_CLOSE: (6), (24), (28), (101), (275) are inconsistent by sub-proof
% 174.34/27.69  | | | | |            #912.
% 174.34/27.69  | | | | | 
% 174.34/27.69  | | | | End of split
% 174.34/27.69  | | | | 
% 174.34/27.69  | | | Case 2:
% 174.34/27.69  | | | | 
% 174.34/27.69  | | | |   (276)  all_56_6 = e0 | all_56_12 = e0
% 174.34/27.69  | | | | 
% 174.34/27.69  | | | | REF_CLOSE: (2), (80), (98), (218), (276) are inconsistent by sub-proof
% 174.34/27.69  | | | |            #918.
% 174.34/27.69  | | | | 
% 174.34/27.69  | | | End of split
% 174.34/27.69  | | | 
% 174.34/27.69  | | End of split
% 174.34/27.69  | | 
% 174.34/27.69  | End of split
% 174.34/27.69  | 
% 174.34/27.69  End of proof
% 174.34/27.69  
% 174.34/27.69  Sub-proof #912 shows that the following formulas are inconsistent:
% 174.34/27.69  ----------------------------------------------------------------
% 174.34/27.69    (1)  all_56_8 = e0 | all_56_11 = e0
% 174.34/27.69    (2)   ~ (all_10_2 = e0)
% 174.34/27.69    (3)  all_56_8 = all_10_2
% 174.34/27.69    (4)  all_56_11 = all_52_14
% 174.34/27.69    (5)   ~ (all_52_14 = e0)
% 174.34/27.69  
% 174.34/27.69  Begin of proof
% 174.34/27.69  | 
% 174.34/27.69  | BETA: splitting (1) gives:
% 174.34/27.69  | 
% 174.34/27.69  | Case 1:
% 174.34/27.69  | | 
% 174.34/27.69  | |   (6)  all_56_8 = e0
% 174.34/27.69  | | 
% 174.34/27.69  | | COMBINE_EQS: (3), (6) imply:
% 174.34/27.69  | |   (7)  all_10_2 = e0
% 174.34/27.69  | | 
% 174.34/27.69  | | REDUCE: (2), (7) imply:
% 174.34/27.69  | |   (8)  $false
% 174.34/27.69  | | 
% 174.34/27.69  | | CLOSE: (8) is inconsistent.
% 174.34/27.69  | | 
% 174.34/27.69  | Case 2:
% 174.34/27.69  | | 
% 174.34/27.69  | |   (9)  all_56_11 = e0
% 174.34/27.69  | | 
% 174.34/27.69  | | COMBINE_EQS: (4), (9) imply:
% 174.34/27.69  | |   (10)  all_52_14 = e0
% 174.34/27.69  | | 
% 174.34/27.69  | | REDUCE: (5), (10) imply:
% 174.34/27.69  | |   (11)  $false
% 174.34/27.69  | | 
% 174.34/27.69  | | CLOSE: (11) is inconsistent.
% 174.34/27.69  | | 
% 174.34/27.69  | End of split
% 174.34/27.69  | 
% 174.34/27.69  End of proof
% 174.34/27.69  
% 174.34/27.69  Sub-proof #913 shows that the following formulas are inconsistent:
% 174.34/27.69  ----------------------------------------------------------------
% 174.34/27.69    (1)  all_56_12 = all_52_3
% 174.34/27.69    (2)   ~ (all_10_2 = e0)
% 174.34/27.69    (3)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 174.34/27.69    (4)  all_56_5 = all_52_9
% 174.34/27.69    (5)  all_56_14 = all_52_11
% 174.34/27.69    (6)  all_56_8 = all_10_2
% 174.34/27.69    (7)   ~ (all_52_2 = e0)
% 174.34/27.69    (8)  all_56_2 = all_52_1
% 174.34/27.69    (9)  all_56_6 = all_52_2
% 174.34/27.69    (10)   ~ (all_52_1 = all_52_9)
% 174.34/27.69    (11)   ~ (all_52_11 = e0)
% 174.34/27.69    (12)  all_56_5 = e0 | all_56_8 = e0 | all_56_14 = e0
% 174.34/27.69    (13)   ~ (all_52_3 = e0)
% 174.34/27.69  
% 174.34/27.69  Begin of proof
% 174.34/27.69  | 
% 174.34/27.69  | BETA: splitting (12) gives:
% 174.34/27.69  | 
% 174.34/27.69  | Case 1:
% 174.34/27.69  | | 
% 174.34/27.69  | |   (14)  all_56_5 = e0
% 174.34/27.69  | | 
% 174.34/27.69  | | COMBINE_EQS: (4), (14) imply:
% 174.34/27.69  | |   (15)  all_52_9 = e0
% 174.34/27.69  | | 
% 174.34/27.69  | | REDUCE: (10), (15) imply:
% 174.34/27.69  | |   (16)   ~ (all_52_1 = e0)
% 174.34/27.69  | | 
% 174.34/27.69  | | REF_CLOSE: (1), (3), (7), (8), (9), (13), (16) are inconsistent by sub-proof
% 174.34/27.69  | |            #917.
% 174.34/27.69  | | 
% 174.34/27.69  | Case 2:
% 174.34/27.69  | | 
% 174.34/27.69  | |   (17)  all_56_8 = e0 | all_56_14 = e0
% 174.34/27.69  | | 
% 174.34/27.69  | | REF_CLOSE: (2), (5), (6), (11), (17) are inconsistent by sub-proof #914.
% 174.34/27.69  | | 
% 174.34/27.69  | End of split
% 174.34/27.69  | 
% 174.34/27.69  End of proof
% 174.34/27.69  
% 174.34/27.69  Sub-proof #914 shows that the following formulas are inconsistent:
% 174.34/27.69  ----------------------------------------------------------------
% 174.34/27.69    (1)   ~ (all_10_2 = e0)
% 174.34/27.69    (2)  all_56_14 = all_52_11
% 174.34/27.69    (3)  all_56_8 = all_10_2
% 174.34/27.69    (4)  all_56_8 = e0 | all_56_14 = e0
% 174.34/27.69    (5)   ~ (all_52_11 = e0)
% 174.34/27.69  
% 174.34/27.69  Begin of proof
% 174.34/27.69  | 
% 174.34/27.69  | BETA: splitting (4) gives:
% 174.34/27.69  | 
% 174.34/27.69  | Case 1:
% 174.34/27.69  | | 
% 174.34/27.69  | |   (6)  all_56_8 = e0
% 174.34/27.69  | | 
% 174.34/27.69  | | REF_CLOSE: (1), (3), (6) are inconsistent by sub-proof #916.
% 174.34/27.69  | | 
% 174.34/27.69  | Case 2:
% 174.34/27.69  | | 
% 174.34/27.69  | |   (7)  all_56_14 = e0
% 174.34/27.69  | | 
% 174.34/27.69  | | REF_CLOSE: (2), (5), (7) are inconsistent by sub-proof #915.
% 174.34/27.69  | | 
% 174.34/27.69  | End of split
% 174.34/27.69  | 
% 174.34/27.69  End of proof
% 174.34/27.69  
% 174.34/27.69  Sub-proof #915 shows that the following formulas are inconsistent:
% 174.34/27.69  ----------------------------------------------------------------
% 174.34/27.69    (1)  all_56_14 = all_52_11
% 174.34/27.69    (2)  all_56_14 = e0
% 174.34/27.69    (3)   ~ (all_52_11 = e0)
% 174.34/27.69  
% 174.34/27.69  Begin of proof
% 174.34/27.69  | 
% 174.34/27.69  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.69  |   (4)  all_52_11 = e0
% 174.34/27.69  | 
% 174.34/27.69  | SIMP: (4) implies:
% 174.34/27.69  |   (5)  all_52_11 = e0
% 174.34/27.69  | 
% 174.34/27.69  | REDUCE: (3), (5) imply:
% 174.34/27.69  |   (6)  $false
% 174.34/27.69  | 
% 174.34/27.69  | CLOSE: (6) is inconsistent.
% 174.34/27.69  | 
% 174.34/27.69  End of proof
% 174.34/27.69  
% 174.34/27.69  Sub-proof #916 shows that the following formulas are inconsistent:
% 174.34/27.69  ----------------------------------------------------------------
% 174.34/27.69    (1)  all_56_8 = all_10_2
% 174.34/27.69    (2)  all_56_8 = e0
% 174.34/27.69    (3)   ~ (all_10_2 = e0)
% 174.34/27.69  
% 174.34/27.69  Begin of proof
% 174.34/27.69  | 
% 174.34/27.69  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.69  |   (4)  all_10_2 = e0
% 174.34/27.69  | 
% 174.34/27.69  | SIMP: (4) implies:
% 174.34/27.69  |   (5)  all_10_2 = e0
% 174.34/27.69  | 
% 174.34/27.69  | REDUCE: (3), (5) imply:
% 174.34/27.69  |   (6)  $false
% 174.34/27.69  | 
% 174.34/27.69  | CLOSE: (6) is inconsistent.
% 174.34/27.69  | 
% 174.34/27.69  End of proof
% 174.34/27.69  
% 174.34/27.69  Sub-proof #917 shows that the following formulas are inconsistent:
% 174.34/27.69  ----------------------------------------------------------------
% 174.34/27.69    (1)  all_56_12 = all_52_3
% 174.34/27.69    (2)  all_56_2 = e0 | all_56_6 = e0 | all_56_12 = e0
% 174.34/27.69    (3)   ~ (all_52_2 = e0)
% 174.34/27.69    (4)  all_56_2 = all_52_1
% 174.34/27.69    (5)  all_56_6 = all_52_2
% 174.34/27.69    (6)   ~ (all_52_1 = e0)
% 174.34/27.69    (7)   ~ (all_52_3 = e0)
% 174.34/27.69  
% 174.34/27.69  Begin of proof
% 174.34/27.69  | 
% 174.34/27.69  | BETA: splitting (2) gives:
% 174.34/27.69  | 
% 174.34/27.69  | Case 1:
% 174.34/27.69  | | 
% 174.34/27.69  | |   (8)  all_56_2 = e0
% 174.34/27.69  | | 
% 174.34/27.69  | | COMBINE_EQS: (4), (8) imply:
% 174.34/27.69  | |   (9)  all_52_1 = e0
% 174.34/27.69  | | 
% 174.34/27.69  | | REDUCE: (6), (9) imply:
% 174.34/27.69  | |   (10)  $false
% 174.34/27.69  | | 
% 174.34/27.69  | | CLOSE: (10) is inconsistent.
% 174.34/27.69  | | 
% 174.34/27.69  | Case 2:
% 174.34/27.69  | | 
% 174.34/27.69  | |   (11)  all_56_6 = e0 | all_56_12 = e0
% 174.34/27.69  | | 
% 174.34/27.69  | | REF_CLOSE: (1), (3), (5), (7), (11) are inconsistent by sub-proof #918.
% 174.34/27.69  | | 
% 174.34/27.69  | End of split
% 174.34/27.69  | 
% 174.34/27.69  End of proof
% 174.34/27.69  
% 174.34/27.69  Sub-proof #918 shows that the following formulas are inconsistent:
% 174.34/27.69  ----------------------------------------------------------------
% 174.34/27.69    (1)  all_56_12 = all_52_3
% 174.34/27.69    (2)   ~ (all_52_2 = e0)
% 174.34/27.69    (3)  all_56_6 = e0 | all_56_12 = e0
% 174.34/27.69    (4)  all_56_6 = all_52_2
% 174.34/27.69    (5)   ~ (all_52_3 = e0)
% 174.34/27.69  
% 174.34/27.69  Begin of proof
% 174.34/27.69  | 
% 174.34/27.69  | BETA: splitting (3) gives:
% 174.34/27.69  | 
% 174.34/27.69  | Case 1:
% 174.34/27.69  | | 
% 174.34/27.69  | |   (6)  all_56_6 = e0
% 174.34/27.69  | | 
% 174.34/27.69  | | COMBINE_EQS: (4), (6) imply:
% 174.34/27.69  | |   (7)  all_52_2 = e0
% 174.34/27.69  | | 
% 174.34/27.69  | | REDUCE: (2), (7) imply:
% 174.34/27.69  | |   (8)  $false
% 174.34/27.69  | | 
% 174.34/27.69  | | CLOSE: (8) is inconsistent.
% 174.34/27.69  | | 
% 174.34/27.69  | Case 2:
% 174.34/27.69  | | 
% 174.34/27.69  | |   (9)  all_56_12 = e0
% 174.34/27.69  | | 
% 174.34/27.69  | | REF_CLOSE: (1), (5), (9) are inconsistent by sub-proof #919.
% 174.34/27.69  | | 
% 174.34/27.69  | End of split
% 174.34/27.69  | 
% 174.34/27.69  End of proof
% 174.34/27.69  
% 174.34/27.69  Sub-proof #919 shows that the following formulas are inconsistent:
% 174.34/27.69  ----------------------------------------------------------------
% 174.34/27.69    (1)  all_56_12 = all_52_3
% 174.34/27.69    (2)  all_56_12 = e0
% 174.34/27.69    (3)   ~ (all_52_3 = e0)
% 174.34/27.69  
% 174.34/27.69  Begin of proof
% 174.34/27.69  | 
% 174.34/27.69  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.69  |   (4)  all_52_3 = e0
% 174.34/27.69  | 
% 174.34/27.69  | SIMP: (4) implies:
% 174.34/27.69  |   (5)  all_52_3 = e0
% 174.34/27.69  | 
% 174.34/27.69  | REDUCE: (3), (5) imply:
% 174.34/27.69  |   (6)  $false
% 174.34/27.69  | 
% 174.34/27.69  | CLOSE: (6) is inconsistent.
% 174.34/27.69  | 
% 174.34/27.69  End of proof
% 174.34/27.69  
% 174.34/27.69  Sub-proof #920 shows that the following formulas are inconsistent:
% 174.34/27.69  ----------------------------------------------------------------
% 174.34/27.69    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.34/27.69    (2)  op(e3, all_6_2) = all_58_0
% 174.34/27.69    (3)  op(all_10_2, e1) = all_10_1
% 174.34/27.69    (4)  op(e1, all_10_2) = all_58_10
% 174.34/27.69    (5)   ~ (all_52_9 = all_4_2)
% 174.34/27.69    (6)  op(e1, e1) = all_10_2
% 174.34/27.69    (7)  all_58_26 = all_10_2
% 174.34/27.69    (8)  op(e2, all_4_2) = all_58_5
% 174.34/27.69    (9)  all_58_22 = e0
% 174.34/27.69    (10)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.34/27.69    (11)  op(e2, e2) = all_4_2
% 174.34/27.69    (12)  all_6_2 = e3
% 174.34/27.69    (13)   ~ (all_52_4 = all_6_2)
% 174.34/27.69    (14)   ~ (all_6_2 = e0)
% 174.34/27.69    (15)  all_58_20 = all_52_4
% 174.34/27.69    (16)  op(e3, e3) = all_6_2
% 174.34/27.69    (17)  all_58_24 = e0
% 174.34/27.69    (18)  all_58_25 = all_52_9
% 174.34/27.69    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.34/27.69            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.34/27.69    (20)  all_58_15 = e0
% 174.34/27.69    (21)  all_58_21 = all_4_2
% 174.34/27.69    (22)   ~ (e1 = e0)
% 174.34/27.69    (23)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 174.34/27.69            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 174.34/27.69            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 174.34/27.69            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 174.34/27.69            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 174.34/27.69            (all_58_15 = e0))
% 174.34/27.69  
% 174.34/27.69  Begin of proof
% 174.34/27.69  | 
% 174.34/27.69  | REDUCE: (12), (13) imply:
% 174.34/27.69  |   (24)   ~ (all_52_4 = e3)
% 174.34/27.69  | 
% 174.34/27.69  | REDUCE: (12), (14) imply:
% 174.34/27.69  |   (25)   ~ (e3 = e0)
% 174.34/27.69  | 
% 174.34/27.69  | REDUCE: (2), (12) imply:
% 174.34/27.69  |   (26)  op(e3, e3) = all_58_0
% 174.34/27.69  | 
% 174.34/27.69  | REDUCE: (12), (16) imply:
% 174.34/27.69  |   (27)  op(e3, e3) = e3
% 174.34/27.69  | 
% 174.34/27.69  | BETA: splitting (1) gives:
% 174.34/27.69  | 
% 174.34/27.69  | Case 1:
% 174.34/27.69  | | 
% 174.34/27.69  | |   (28)  all_58_22 = e1
% 174.34/27.69  | | 
% 174.34/27.69  | | REF_CLOSE: (9), (22), (28) are inconsistent by sub-proof #923.
% 174.34/27.69  | | 
% 174.34/27.69  | Case 2:
% 174.34/27.69  | | 
% 174.34/27.69  | |   (29)  all_58_20 = e3 | all_58_21 = e2
% 174.34/27.69  | | 
% 174.34/27.69  | | BETA: splitting (29) gives:
% 174.34/27.69  | | 
% 174.34/27.69  | | Case 1:
% 174.34/27.69  | | | 
% 174.34/27.69  | | |   (30)  all_58_21 = e2
% 174.34/27.69  | | | 
% 174.34/27.69  | | | COMBINE_EQS: (21), (30) imply:
% 174.34/27.69  | | |   (31)  all_4_2 = e2
% 174.34/27.69  | | | 
% 174.34/27.69  | | | REDUCE: (5), (31) imply:
% 174.34/27.69  | | |   (32)   ~ (all_52_9 = e2)
% 174.34/27.69  | | | 
% 174.34/27.69  | | | REDUCE: (8), (31) imply:
% 174.34/27.69  | | |   (33)  op(e2, e2) = all_58_5
% 174.34/27.69  | | | 
% 174.34/27.69  | | | REDUCE: (11), (31) imply:
% 174.34/27.69  | | |   (34)  op(e2, e2) = e2
% 174.34/27.69  | | | 
% 174.34/27.69  | | | BETA: splitting (10) gives:
% 174.34/27.69  | | | 
% 174.34/27.69  | | | Case 1:
% 174.34/27.69  | | | | 
% 174.34/27.69  | | | |   (35)  all_58_26 = e1
% 174.34/27.69  | | | | 
% 174.34/27.69  | | | | COMBINE_EQS: (7), (35) imply:
% 174.34/27.69  | | | |   (36)  all_10_2 = e1
% 174.34/27.69  | | | | 
% 174.34/27.69  | | | | SIMP: (36) implies:
% 174.34/27.69  | | | |   (37)  all_10_2 = e1
% 174.34/27.69  | | | | 
% 174.34/27.69  | | | | REDUCE: (3), (37) imply:
% 174.34/27.69  | | | |   (38)  op(e1, e1) = all_10_1
% 174.34/27.69  | | | | 
% 174.34/27.69  | | | | REDUCE: (4), (37) imply:
% 174.34/27.69  | | | |   (39)  op(e1, e1) = all_58_10
% 174.34/27.69  | | | | 
% 174.34/27.69  | | | | REDUCE: (6), (37) imply:
% 174.34/27.69  | | | |   (40)  op(e1, e1) = e1
% 174.34/27.69  | | | | 
% 174.34/27.69  | | | | REF_CLOSE: (19), (20), (23), (26), (27), (33), (34), (38), (39), (40)
% 174.34/27.69  | | | |            are inconsistent by sub-proof #949.
% 174.34/27.69  | | | | 
% 174.34/27.69  | | | Case 2:
% 174.34/27.69  | | | | 
% 174.34/27.69  | | | |   (41)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.69  | | | | 
% 174.34/27.69  | | | | REF_CLOSE: (17), (18), (25), (32), (41) are inconsistent by sub-proof
% 174.34/27.69  | | | |            #921.
% 174.34/27.69  | | | | 
% 174.34/27.69  | | | End of split
% 174.34/27.69  | | | 
% 174.34/27.69  | | Case 2:
% 174.34/27.69  | | | 
% 174.34/27.69  | | |   (42)  all_58_20 = e3
% 174.34/27.69  | | | 
% 174.34/27.69  | | | COMBINE_EQS: (15), (42) imply:
% 174.34/27.69  | | |   (43)  all_52_4 = e3
% 174.34/27.69  | | | 
% 174.34/27.69  | | | REDUCE: (24), (43) imply:
% 174.34/27.69  | | |   (44)  $false
% 174.34/27.69  | | | 
% 174.34/27.69  | | | CLOSE: (44) is inconsistent.
% 174.34/27.69  | | | 
% 174.34/27.69  | | End of split
% 174.34/27.69  | | 
% 174.34/27.69  | End of split
% 174.34/27.69  | 
% 174.34/27.69  End of proof
% 174.34/27.69  
% 174.34/27.69  Sub-proof #921 shows that the following formulas are inconsistent:
% 174.34/27.69  ----------------------------------------------------------------
% 174.34/27.69    (1)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.69    (2)   ~ (all_52_9 = e2)
% 174.34/27.69    (3)   ~ (e3 = e0)
% 174.34/27.69    (4)  all_58_24 = e0
% 174.34/27.69    (5)  all_58_25 = all_52_9
% 174.34/27.69  
% 174.34/27.69  Begin of proof
% 174.34/27.69  | 
% 174.34/27.69  | BETA: splitting (1) gives:
% 174.34/27.69  | 
% 174.34/27.69  | Case 1:
% 174.34/27.69  | | 
% 174.34/27.69  | |   (6)  all_58_25 = e2
% 174.34/27.69  | | 
% 174.34/27.69  | | REF_CLOSE: (2), (5), (6) are inconsistent by sub-proof #922.
% 174.34/27.69  | | 
% 174.34/27.69  | Case 2:
% 174.34/27.69  | | 
% 174.34/27.69  | |   (7)  all_58_24 = e3
% 174.34/27.69  | | 
% 174.34/27.69  | | COMBINE_EQS: (4), (7) imply:
% 174.34/27.69  | |   (8)  e3 = e0
% 174.34/27.69  | | 
% 174.34/27.69  | | REDUCE: (3), (8) imply:
% 174.34/27.69  | |   (9)  $false
% 174.34/27.69  | | 
% 174.34/27.69  | | CLOSE: (9) is inconsistent.
% 174.34/27.69  | | 
% 174.34/27.69  | End of split
% 174.34/27.69  | 
% 174.34/27.69  End of proof
% 174.34/27.69  
% 174.34/27.69  Sub-proof #922 shows that the following formulas are inconsistent:
% 174.34/27.69  ----------------------------------------------------------------
% 174.34/27.69    (1)  all_58_25 = all_52_9
% 174.34/27.69    (2)  all_58_25 = e2
% 174.34/27.69    (3)   ~ (all_52_9 = e2)
% 174.34/27.69  
% 174.34/27.69  Begin of proof
% 174.34/27.69  | 
% 174.34/27.69  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.69  |   (4)  all_52_9 = e2
% 174.34/27.69  | 
% 174.34/27.69  | SIMP: (4) implies:
% 174.34/27.69  |   (5)  all_52_9 = e2
% 174.34/27.69  | 
% 174.34/27.69  | REDUCE: (3), (5) imply:
% 174.34/27.69  |   (6)  $false
% 174.34/27.69  | 
% 174.34/27.69  | CLOSE: (6) is inconsistent.
% 174.34/27.69  | 
% 174.34/27.69  End of proof
% 174.34/27.69  
% 174.34/27.69  Sub-proof #923 shows that the following formulas are inconsistent:
% 174.34/27.69  ----------------------------------------------------------------
% 174.34/27.69    (1)  all_58_22 = e1
% 174.34/27.69    (2)  all_58_22 = e0
% 174.34/27.69    (3)   ~ (e1 = e0)
% 174.34/27.69  
% 174.34/27.69  Begin of proof
% 174.34/27.69  | 
% 174.34/27.69  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.69  |   (4)  e1 = e0
% 174.34/27.69  | 
% 174.34/27.69  | SIMP: (4) implies:
% 174.34/27.69  |   (5)  e1 = e0
% 174.34/27.69  | 
% 174.34/27.69  | REDUCE: (3), (5) imply:
% 174.34/27.69  |   (6)  $false
% 174.34/27.69  | 
% 174.34/27.69  | CLOSE: (6) is inconsistent.
% 174.34/27.69  | 
% 174.34/27.69  End of proof
% 174.34/27.69  
% 174.34/27.69  Sub-proof #924 shows that the following formulas are inconsistent:
% 174.34/27.69  ----------------------------------------------------------------
% 174.34/27.69    (1)  all_58_18 = all_52_2
% 174.34/27.69    (2)  all_58_18 = e1
% 174.34/27.69    (3)   ~ (all_52_2 = e1)
% 174.34/27.69  
% 174.34/27.69  Begin of proof
% 174.34/27.69  | 
% 174.34/27.69  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.69  |   (4)  all_52_2 = e1
% 174.34/27.69  | 
% 174.34/27.69  | SIMP: (4) implies:
% 174.34/27.69  |   (5)  all_52_2 = e1
% 174.34/27.69  | 
% 174.34/27.69  | REDUCE: (3), (5) imply:
% 174.34/27.69  |   (6)  $false
% 174.34/27.69  | 
% 174.34/27.69  | CLOSE: (6) is inconsistent.
% 174.34/27.69  | 
% 174.34/27.69  End of proof
% 174.34/27.69  
% 174.34/27.69  Sub-proof #925 shows that the following formulas are inconsistent:
% 174.34/27.69  ----------------------------------------------------------------
% 174.34/27.69    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.34/27.69    (2)  all_56_12 = all_52_3
% 174.34/27.69    (3)  op(e1, all_52_14) = all_58_11
% 174.34/27.69    (4)   ~ (e3 = e1)
% 174.34/27.69    (5)   ~ (all_52_2 = all_6_2)
% 174.34/27.69    (6)   ~ (all_52_4 = all_4_2)
% 174.34/27.69    (7)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.34/27.69    (8)   ~ (all_52_9 = all_4_2)
% 174.34/27.69    (9)  all_58_26 = all_10_2
% 174.34/27.69    (10)   ~ (all_4_1 = e0)
% 174.34/27.69    (11)  all_56_0 = all_6_2
% 174.34/27.69    (12)   ~ (all_52_9 = all_10_2)
% 174.34/27.69    (13)  op(all_4_2, e2) = all_4_1
% 174.34/27.69    (14)  all_58_19 = all_52_3
% 174.34/27.69    (15)  all_58_22 = e0
% 174.34/27.69    (16)  all_56_2 = e0
% 174.34/27.69    (17)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.34/27.69    (18)   ~ (all_52_2 = e0)
% 174.34/27.69    (19)  op(e1, e2) = e0
% 174.34/27.69    (20)  all_56_0 = e1 | all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.34/27.69    (21)   ~ (all_52_3 = e1)
% 174.34/27.69    (22)  all_58_18 = all_52_2
% 174.34/27.69    (23)  all_58_16 = all_6_2
% 174.34/27.69    (24)   ~ (e3 = e0)
% 174.34/27.69    (25)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1
% 174.34/27.69    (26)  all_58_20 = all_52_4
% 174.34/27.69    (27)  all_54_10 = all_10_2
% 174.34/27.69    (28)  all_58_17 = e0
% 174.34/27.69    (29)  all_56_6 = all_52_2
% 174.34/27.69    (30)   ~ (all_52_14 = all_10_2)
% 174.34/27.69    (31)  all_58_24 = e0
% 174.34/27.69    (32)   ~ (all_52_2 = all_52_3)
% 174.34/27.69    (33)  all_58_25 = all_52_9
% 174.34/27.69    (34)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.34/27.69            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.34/27.69    (35)   ~ (all_52_2 = all_52_14)
% 174.34/27.69    (36)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 174.34/27.69    (37)  all_58_21 = all_4_2
% 174.34/27.69    (38)   ~ (all_52_3 = e0)
% 174.34/27.69    (39)   ~ (e2 = e0)
% 174.34/27.69    (40)   ~ (e1 = e0)
% 174.34/27.69    (41)  all_54_5 = all_4_2
% 174.34/27.69    (42)   ~ (all_52_2 = all_10_2)
% 174.34/27.69    (43)  all_54_11 = all_52_14
% 174.34/27.69    (44)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1
% 174.34/27.69  
% 174.34/27.69  Begin of proof
% 174.34/27.69  | 
% 174.34/27.69  | BETA: splitting (20) gives:
% 174.34/27.69  | 
% 174.34/27.69  | Case 1:
% 174.34/27.69  | | 
% 174.34/27.69  | |   (45)  all_56_0 = e1
% 174.34/27.69  | | 
% 174.34/27.69  | | COMBINE_EQS: (11), (45) imply:
% 174.34/27.69  | |   (46)  all_6_2 = e1
% 174.34/27.69  | | 
% 174.34/27.69  | | SIMP: (46) implies:
% 174.34/27.69  | |   (47)  all_6_2 = e1
% 174.34/27.69  | | 
% 174.34/27.69  | | REF_CLOSE: (4), (5), (7), (14), (22), (23), (28), (38), (39), (47) are
% 174.34/27.69  | |            inconsistent by sub-proof #936.
% 174.34/27.69  | | 
% 174.34/27.69  | Case 2:
% 174.34/27.69  | | 
% 174.34/27.69  | |   (48)  all_56_2 = e1 | all_56_6 = e1 | all_56_12 = e1
% 174.34/27.69  | | 
% 174.34/27.69  | | BETA: splitting (48) gives:
% 174.34/27.69  | | 
% 174.34/27.69  | | Case 1:
% 174.34/27.69  | | | 
% 174.34/27.69  | | |   (49)  all_56_2 = e1
% 174.34/27.69  | | | 
% 174.34/27.69  | | | REF_CLOSE: (16), (40), (49) are inconsistent by sub-proof #935.
% 174.34/27.69  | | | 
% 174.34/27.69  | | Case 2:
% 174.34/27.69  | | | 
% 174.34/27.69  | | |   (50)  all_56_6 = e1 | all_56_12 = e1
% 174.34/27.69  | | | 
% 174.34/27.69  | | | BETA: splitting (50) gives:
% 174.34/27.69  | | | 
% 174.34/27.69  | | | Case 1:
% 174.34/27.69  | | | | 
% 174.34/27.69  | | | |   (51)  all_56_6 = e1
% 174.34/27.69  | | | | 
% 174.34/27.69  | | | | COMBINE_EQS: (29), (51) imply:
% 174.34/27.69  | | | |   (52)  all_52_2 = e1
% 174.34/27.69  | | | | 
% 174.34/27.69  | | | | REDUCE: (32), (52) imply:
% 174.34/27.69  | | | |   (53)   ~ (all_52_3 = e1)
% 174.34/27.69  | | | | 
% 174.34/27.69  | | | | REDUCE: (35), (52) imply:
% 174.34/27.69  | | | |   (54)   ~ (all_52_14 = e1)
% 174.34/27.69  | | | | 
% 174.34/27.69  | | | | SIMP: (54) implies:
% 174.34/27.69  | | | |   (55)   ~ (all_52_14 = e1)
% 174.34/27.69  | | | | 
% 174.34/27.69  | | | | REDUCE: (42), (52) imply:
% 174.34/27.69  | | | |   (56)   ~ (all_10_2 = e1)
% 174.34/27.69  | | | | 
% 174.34/27.69  | | | | SIMP: (56) implies:
% 174.34/27.69  | | | |   (57)   ~ (all_10_2 = e1)
% 174.34/27.69  | | | | 
% 174.34/27.69  | | | | BETA: splitting (17) gives:
% 174.34/27.69  | | | | 
% 174.34/27.69  | | | | Case 1:
% 174.34/27.69  | | | | | 
% 174.34/27.69  | | | | |   (58)  all_58_26 = e1
% 174.34/27.69  | | | | | 
% 174.34/27.69  | | | | | REF_CLOSE: (9), (57), (58) are inconsistent by sub-proof #968.
% 174.34/27.69  | | | | | 
% 174.34/27.69  | | | | Case 2:
% 174.34/27.69  | | | | | 
% 174.34/27.69  | | | | |   (59)   ~ (all_58_26 = e1)
% 174.34/27.69  | | | | |   (60)  all_58_24 = e3 | all_58_25 = e2
% 174.34/27.69  | | | | | 
% 174.34/27.69  | | | | | BETA: splitting (60) gives:
% 174.34/27.69  | | | | | 
% 174.34/27.69  | | | | | Case 1:
% 174.34/27.69  | | | | | | 
% 174.34/27.69  | | | | | |   (61)  all_58_25 = e2
% 174.34/27.69  | | | | | | 
% 174.34/27.69  | | | | | | COMBINE_EQS: (33), (61) imply:
% 174.34/27.69  | | | | | |   (62)  all_52_9 = e2
% 174.34/27.69  | | | | | | 
% 174.34/27.69  | | | | | | SIMP: (62) implies:
% 174.34/27.69  | | | | | |   (63)  all_52_9 = e2
% 174.34/27.69  | | | | | | 
% 174.34/27.69  | | | | | | REDUCE: (12), (63) imply:
% 174.34/27.69  | | | | | |   (64)   ~ (all_10_2 = e2)
% 174.34/27.69  | | | | | | 
% 174.34/27.69  | | | | | | SIMP: (64) implies:
% 174.34/27.69  | | | | | |   (65)   ~ (all_10_2 = e2)
% 174.34/27.69  | | | | | | 
% 174.34/27.69  | | | | | | REDUCE: (8), (63) imply:
% 174.34/27.69  | | | | | |   (66)   ~ (all_4_2 = e2)
% 174.34/27.69  | | | | | | 
% 174.34/27.69  | | | | | | SIMP: (66) implies:
% 174.34/27.69  | | | | | |   (67)   ~ (all_4_2 = e2)
% 174.34/27.69  | | | | | | 
% 174.34/27.69  | | | | | | BETA: splitting (1) gives:
% 174.34/27.69  | | | | | | 
% 174.34/27.69  | | | | | | Case 1:
% 174.34/27.69  | | | | | | | 
% 174.34/27.69  | | | | | | |   (68)  all_58_22 = e1
% 174.34/27.69  | | | | | | | 
% 174.34/27.69  | | | | | | | COMBINE_EQS: (15), (68) imply:
% 174.34/27.69  | | | | | | |   (69)  e1 = e0
% 174.34/27.69  | | | | | | | 
% 174.34/27.69  | | | | | | | REF_CLOSE: (2), (21), (40), (50), (51), (69) are inconsistent by
% 174.34/27.69  | | | | | | |            sub-proof #932.
% 174.34/27.69  | | | | | | | 
% 174.34/27.69  | | | | | | Case 2:
% 174.34/27.69  | | | | | | | 
% 174.34/27.69  | | | | | | |   (70)  all_58_20 = e3 | all_58_21 = e2
% 174.34/27.69  | | | | | | | 
% 174.34/27.69  | | | | | | | BETA: splitting (25) gives:
% 174.34/27.69  | | | | | | | 
% 174.34/27.69  | | | | | | | Case 1:
% 174.34/27.69  | | | | | | | | 
% 174.34/27.69  | | | | | | | |   (71)  all_54_10 = e1
% 174.34/27.69  | | | | | | | | 
% 174.34/27.69  | | | | | | | | REF_CLOSE: (27), (57), (71) are inconsistent by sub-proof #931.
% 174.34/27.69  | | | | | | | | 
% 174.34/27.69  | | | | | | | Case 2:
% 174.34/27.69  | | | | | | | | 
% 174.34/27.69  | | | | | | | |   (72)  all_54_10 = e3 | all_54_10 = e2
% 174.34/27.69  | | | | | | | | 
% 174.34/27.69  | | | | | | | | BETA: splitting (72) gives:
% 174.34/27.69  | | | | | | | | 
% 174.34/27.69  | | | | | | | | Case 1:
% 174.34/27.69  | | | | | | | | | 
% 174.34/27.69  | | | | | | | | |   (73)  all_54_10 = e2
% 174.34/27.69  | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | REF_CLOSE: (27), (65), (73) are inconsistent by sub-proof
% 174.34/27.69  | | | | | | | | |            #930.
% 174.34/27.69  | | | | | | | | | 
% 174.34/27.69  | | | | | | | | Case 2:
% 174.34/27.69  | | | | | | | | | 
% 174.34/27.69  | | | | | | | | |   (74)  all_54_10 = e3
% 174.34/27.69  | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | COMBINE_EQS: (27), (74) imply:
% 174.34/27.69  | | | | | | | | |   (75)  all_10_2 = e3
% 174.34/27.69  | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | SIMP: (75) implies:
% 174.34/27.69  | | | | | | | | |   (76)  all_10_2 = e3
% 174.34/27.69  | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | REDUCE: (30), (76) imply:
% 174.34/27.69  | | | | | | | | |   (77)   ~ (all_52_14 = e3)
% 174.34/27.69  | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | BETA: splitting (70) gives:
% 174.34/27.69  | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | Case 1:
% 174.34/27.69  | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | |   (78)  all_58_21 = e2
% 174.34/27.69  | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | COMBINE_EQS: (37), (78) imply:
% 174.34/27.69  | | | | | | | | | |   (79)  all_4_2 = e2
% 174.34/27.69  | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | REDUCE: (67), (79) imply:
% 174.34/27.69  | | | | | | | | | |   (80)  $false
% 174.34/27.69  | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | CLOSE: (80) is inconsistent.
% 174.34/27.69  | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | Case 2:
% 174.34/27.69  | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | |   (81)  all_58_20 = e3
% 174.34/27.69  | | | | | | | | | |   (82)   ~ (all_58_21 = e2)
% 174.34/27.69  | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | COMBINE_EQS: (26), (81) imply:
% 174.34/27.69  | | | | | | | | | |   (83)  all_52_4 = e3
% 174.34/27.69  | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | REDUCE: (6), (83) imply:
% 174.34/27.69  | | | | | | | | | |   (84)   ~ (all_4_2 = e3)
% 174.34/27.69  | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | SIMP: (84) implies:
% 174.34/27.69  | | | | | | | | | |   (85)   ~ (all_4_2 = e3)
% 174.34/27.69  | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | BETA: splitting (44) gives:
% 174.34/27.69  | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | Case 1:
% 174.34/27.69  | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | |   (86)  all_54_11 = e1
% 174.34/27.69  | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | REF_CLOSE: (43), (55), (86) are inconsistent by sub-proof
% 174.34/27.69  | | | | | | | | | | |            #929.
% 174.34/27.69  | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | Case 2:
% 174.34/27.69  | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | |   (87)  all_54_11 = e3 | all_54_11 = e2
% 174.34/27.69  | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | BETA: splitting (87) gives:
% 174.34/27.69  | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | Case 1:
% 174.34/27.69  | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | |   (88)  all_54_11 = e2
% 174.34/27.69  | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | COMBINE_EQS: (43), (88) imply:
% 174.34/27.69  | | | | | | | | | | | |   (89)  all_52_14 = e2
% 174.34/27.69  | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | SIMP: (89) implies:
% 174.34/27.69  | | | | | | | | | | | |   (90)  all_52_14 = e2
% 174.34/27.69  | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | REDUCE: (3), (90) imply:
% 174.34/27.69  | | | | | | | | | | | |   (91)  op(e1, e2) = all_58_11
% 174.34/27.69  | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | BETA: splitting (36) gives:
% 174.34/27.69  | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | Case 1:
% 174.34/27.69  | | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | |   (92)  all_54_5 = e1
% 174.34/27.69  | | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | | COMBINE_EQS: (41), (92) imply:
% 174.34/27.69  | | | | | | | | | | | | |   (93)  all_4_2 = e1
% 174.34/27.69  | | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | | SIMP: (93) implies:
% 174.34/27.69  | | | | | | | | | | | | |   (94)  all_4_2 = e1
% 174.34/27.69  | | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | | REDUCE: (13), (94) imply:
% 174.34/27.69  | | | | | | | | | | | | |   (95)  op(e1, e2) = all_4_1
% 174.34/27.69  | | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | | REF_CLOSE: (10), (19), (34), (91), (95) are inconsistent by
% 174.34/27.69  | | | | | | | | | | | | |            sub-proof #928.
% 174.34/27.69  | | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | Case 2:
% 174.34/27.69  | | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | |   (96)  all_54_5 = e3 | all_54_5 = e2
% 174.34/27.69  | | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | | REF_CLOSE: (41), (67), (85), (96) are inconsistent by
% 174.34/27.69  | | | | | | | | | | | | |            sub-proof #959.
% 174.34/27.69  | | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | End of split
% 174.34/27.69  | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | Case 2:
% 174.34/27.69  | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | |   (97)  all_54_11 = e3
% 174.34/27.69  | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | | REF_CLOSE: (43), (77), (97) are inconsistent by sub-proof
% 174.34/27.69  | | | | | | | | | | | |            #927.
% 174.34/27.69  | | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | | End of split
% 174.34/27.69  | | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | | End of split
% 174.34/27.69  | | | | | | | | | | 
% 174.34/27.69  | | | | | | | | | End of split
% 174.34/27.69  | | | | | | | | | 
% 174.34/27.69  | | | | | | | | End of split
% 174.34/27.69  | | | | | | | | 
% 174.34/27.69  | | | | | | | End of split
% 174.34/27.69  | | | | | | | 
% 174.34/27.69  | | | | | | End of split
% 174.34/27.69  | | | | | | 
% 174.34/27.69  | | | | | Case 2:
% 174.34/27.69  | | | | | | 
% 174.34/27.69  | | | | | |   (98)  all_58_24 = e3
% 174.34/27.69  | | | | | | 
% 174.34/27.69  | | | | | | REF_CLOSE: (24), (31), (98) are inconsistent by sub-proof #926.
% 174.34/27.69  | | | | | | 
% 174.34/27.69  | | | | | End of split
% 174.34/27.69  | | | | | 
% 174.34/27.69  | | | | End of split
% 174.34/27.69  | | | | 
% 174.34/27.69  | | | Case 2:
% 174.34/27.69  | | | | 
% 174.34/27.69  | | | |   (99)  all_56_12 = e1
% 174.34/27.69  | | | | 
% 174.34/27.69  | | | | REF_CLOSE: (2), (21), (99) are inconsistent by sub-proof #934.
% 174.34/27.69  | | | | 
% 174.34/27.69  | | | End of split
% 174.34/27.69  | | | 
% 174.34/27.69  | | End of split
% 174.34/27.69  | | 
% 174.34/27.69  | End of split
% 174.34/27.69  | 
% 174.34/27.69  End of proof
% 174.34/27.69  
% 174.34/27.69  Sub-proof #926 shows that the following formulas are inconsistent:
% 174.34/27.69  ----------------------------------------------------------------
% 174.34/27.69    (1)  all_58_24 = e3
% 174.34/27.69    (2)  all_58_24 = e0
% 174.34/27.69    (3)   ~ (e3 = e0)
% 174.34/27.69  
% 174.34/27.69  Begin of proof
% 174.34/27.69  | 
% 174.34/27.69  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.69  |   (4)  e3 = e0
% 174.34/27.69  | 
% 174.34/27.69  | SIMP: (4) implies:
% 174.34/27.69  |   (5)  e3 = e0
% 174.34/27.69  | 
% 174.34/27.69  | REDUCE: (3), (5) imply:
% 174.34/27.69  |   (6)  $false
% 174.34/27.69  | 
% 174.34/27.69  | CLOSE: (6) is inconsistent.
% 174.34/27.69  | 
% 174.34/27.69  End of proof
% 174.34/27.69  
% 174.34/27.69  Sub-proof #927 shows that the following formulas are inconsistent:
% 174.34/27.69  ----------------------------------------------------------------
% 174.34/27.69    (1)  all_54_11 = all_52_14
% 174.34/27.69    (2)  all_54_11 = e3
% 174.34/27.69    (3)   ~ (all_52_14 = e3)
% 174.34/27.69  
% 174.34/27.69  Begin of proof
% 174.34/27.69  | 
% 174.34/27.69  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.69  |   (4)  all_52_14 = e3
% 174.34/27.69  | 
% 174.34/27.69  | SIMP: (4) implies:
% 174.34/27.69  |   (5)  all_52_14 = e3
% 174.34/27.69  | 
% 174.34/27.69  | REDUCE: (3), (5) imply:
% 174.34/27.69  |   (6)  $false
% 174.34/27.69  | 
% 174.34/27.69  | CLOSE: (6) is inconsistent.
% 174.34/27.69  | 
% 174.34/27.69  End of proof
% 174.34/27.69  
% 174.34/27.69  Sub-proof #928 shows that the following formulas are inconsistent:
% 174.34/27.69  ----------------------------------------------------------------
% 174.34/27.69    (1)  op(e1, e2) = all_58_11
% 174.34/27.69    (2)   ~ (all_4_1 = e0)
% 174.34/27.69    (3)  op(e1, e2) = e0
% 174.34/27.69    (4)  op(e1, e2) = all_4_1
% 174.34/27.69    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.34/27.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.34/27.69  
% 174.34/27.69  Begin of proof
% 174.34/27.69  | 
% 174.34/27.69  | GROUND_INST: instantiating (5) with e0, all_58_11, e2, e1, simplifying with
% 174.34/27.69  |              (1), (3) gives:
% 174.34/27.69  |   (6)  all_58_11 = e0
% 174.34/27.69  | 
% 174.34/27.69  | GROUND_INST: instantiating (5) with all_4_1, all_58_11, e2, e1, simplifying
% 174.34/27.69  |              with (1), (4) gives:
% 174.34/27.69  |   (7)  all_58_11 = all_4_1
% 174.34/27.69  | 
% 174.34/27.69  | COMBINE_EQS: (6), (7) imply:
% 174.34/27.69  |   (8)  all_4_1 = e0
% 174.34/27.69  | 
% 174.34/27.69  | REDUCE: (2), (8) imply:
% 174.34/27.69  |   (9)  $false
% 174.34/27.69  | 
% 174.34/27.69  | CLOSE: (9) is inconsistent.
% 174.34/27.69  | 
% 174.34/27.69  End of proof
% 174.34/27.69  
% 174.34/27.69  Sub-proof #929 shows that the following formulas are inconsistent:
% 174.34/27.69  ----------------------------------------------------------------
% 174.34/27.69    (1)  all_54_11 = all_52_14
% 174.34/27.69    (2)  all_54_11 = e1
% 174.34/27.69    (3)   ~ (all_52_14 = e1)
% 174.34/27.69  
% 174.34/27.69  Begin of proof
% 174.34/27.69  | 
% 174.34/27.69  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.69  |   (4)  all_52_14 = e1
% 174.34/27.69  | 
% 174.34/27.69  | SIMP: (4) implies:
% 174.34/27.69  |   (5)  all_52_14 = e1
% 174.34/27.69  | 
% 174.34/27.69  | REDUCE: (3), (5) imply:
% 174.34/27.69  |   (6)  $false
% 174.34/27.69  | 
% 174.34/27.69  | CLOSE: (6) is inconsistent.
% 174.34/27.69  | 
% 174.34/27.69  End of proof
% 174.34/27.69  
% 174.34/27.69  Sub-proof #930 shows that the following formulas are inconsistent:
% 174.34/27.69  ----------------------------------------------------------------
% 174.34/27.69    (1)  all_54_10 = all_10_2
% 174.34/27.69    (2)  all_54_10 = e2
% 174.34/27.69    (3)   ~ (all_10_2 = e2)
% 174.34/27.69  
% 174.34/27.69  Begin of proof
% 174.34/27.69  | 
% 174.34/27.69  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.69  |   (4)  all_10_2 = e2
% 174.34/27.69  | 
% 174.34/27.69  | SIMP: (4) implies:
% 174.34/27.69  |   (5)  all_10_2 = e2
% 174.34/27.69  | 
% 174.34/27.69  | REDUCE: (3), (5) imply:
% 174.34/27.69  |   (6)  $false
% 174.34/27.69  | 
% 174.34/27.69  | CLOSE: (6) is inconsistent.
% 174.34/27.69  | 
% 174.34/27.69  End of proof
% 174.34/27.69  
% 174.34/27.69  Sub-proof #931 shows that the following formulas are inconsistent:
% 174.34/27.69  ----------------------------------------------------------------
% 174.34/27.69    (1)  all_54_10 = all_10_2
% 174.34/27.69    (2)  all_54_10 = e1
% 174.34/27.69    (3)   ~ (all_10_2 = e1)
% 174.34/27.69  
% 174.34/27.69  Begin of proof
% 174.34/27.69  | 
% 174.34/27.69  | COMBINE_EQS: (1), (2) imply:
% 174.34/27.69  |   (4)  all_10_2 = e1
% 174.34/27.69  | 
% 174.34/27.69  | SIMP: (4) implies:
% 174.34/27.69  |   (5)  all_10_2 = e1
% 174.34/27.69  | 
% 174.34/27.69  | REDUCE: (3), (5) imply:
% 174.34/27.69  |   (6)  $false
% 174.34/27.69  | 
% 174.34/27.69  | CLOSE: (6) is inconsistent.
% 174.34/27.69  | 
% 174.44/27.69  End of proof
% 174.44/27.69  
% 174.44/27.69  Sub-proof #932 shows that the following formulas are inconsistent:
% 174.44/27.69  ----------------------------------------------------------------
% 174.44/27.69    (1)  all_56_12 = all_52_3
% 174.44/27.69    (2)  e1 = e0
% 174.44/27.69    (3)  all_56_6 = e1
% 174.44/27.69    (4)   ~ (all_52_3 = e1)
% 174.44/27.69    (5)  all_56_6 = e1 | all_56_12 = e1
% 174.44/27.69    (6)   ~ (e1 = e0)
% 174.44/27.69  
% 174.44/27.69  Begin of proof
% 174.44/27.69  | 
% 174.44/27.69  | SIMP: (2) implies:
% 174.44/27.69  |   (7)  e1 = e0
% 174.44/27.69  | 
% 174.44/27.69  | COMBINE_EQS: (3), (7) imply:
% 174.44/27.69  |   (8)  all_56_6 = e0
% 174.44/27.69  | 
% 174.44/27.69  | REF_CLOSE: (1), (4), (5), (6), (8) are inconsistent by sub-proof #933.
% 174.44/27.69  | 
% 174.44/27.69  End of proof
% 174.44/27.69  
% 174.44/27.69  Sub-proof #933 shows that the following formulas are inconsistent:
% 174.44/27.69  ----------------------------------------------------------------
% 174.44/27.69    (1)  all_56_12 = all_52_3
% 174.44/27.69    (2)   ~ (all_52_3 = e1)
% 174.44/27.69    (3)  all_56_6 = e1 | all_56_12 = e1
% 174.44/27.69    (4)  all_56_6 = e0
% 174.44/27.69    (5)   ~ (e1 = e0)
% 174.44/27.69  
% 174.44/27.69  Begin of proof
% 174.44/27.69  | 
% 174.44/27.69  | BETA: splitting (3) gives:
% 174.44/27.69  | 
% 174.44/27.69  | Case 1:
% 174.44/27.69  | | 
% 174.44/27.69  | |   (6)  all_56_6 = e1
% 174.44/27.69  | | 
% 174.44/27.69  | | COMBINE_EQS: (4), (6) imply:
% 174.44/27.69  | |   (7)  e1 = e0
% 174.44/27.69  | | 
% 174.44/27.69  | | SIMP: (7) implies:
% 174.44/27.69  | |   (8)  e1 = e0
% 174.44/27.69  | | 
% 174.44/27.69  | | REDUCE: (5), (8) imply:
% 174.44/27.69  | |   (9)  $false
% 174.44/27.69  | | 
% 174.44/27.69  | | CLOSE: (9) is inconsistent.
% 174.44/27.69  | | 
% 174.44/27.69  | Case 2:
% 174.44/27.69  | | 
% 174.44/27.69  | |   (10)  all_56_12 = e1
% 174.44/27.69  | | 
% 174.44/27.69  | | REF_CLOSE: (1), (2), (10) are inconsistent by sub-proof #934.
% 174.44/27.69  | | 
% 174.44/27.69  | End of split
% 174.44/27.69  | 
% 174.44/27.69  End of proof
% 174.44/27.69  
% 174.44/27.69  Sub-proof #934 shows that the following formulas are inconsistent:
% 174.44/27.69  ----------------------------------------------------------------
% 174.44/27.69    (1)  all_56_12 = all_52_3
% 174.44/27.69    (2)  all_56_12 = e1
% 174.44/27.69    (3)   ~ (all_52_3 = e1)
% 174.44/27.69  
% 174.44/27.69  Begin of proof
% 174.44/27.69  | 
% 174.44/27.69  | COMBINE_EQS: (1), (2) imply:
% 174.44/27.69  |   (4)  all_52_3 = e1
% 174.44/27.69  | 
% 174.44/27.69  | SIMP: (4) implies:
% 174.44/27.69  |   (5)  all_52_3 = e1
% 174.44/27.69  | 
% 174.44/27.69  | REDUCE: (3), (5) imply:
% 174.44/27.69  |   (6)  $false
% 174.44/27.69  | 
% 174.44/27.69  | CLOSE: (6) is inconsistent.
% 174.44/27.69  | 
% 174.44/27.69  End of proof
% 174.44/27.69  
% 174.44/27.69  Sub-proof #935 shows that the following formulas are inconsistent:
% 174.44/27.69  ----------------------------------------------------------------
% 174.44/27.69    (1)  all_56_2 = e1
% 174.44/27.69    (2)  all_56_2 = e0
% 174.44/27.69    (3)   ~ (e1 = e0)
% 174.44/27.69  
% 174.44/27.69  Begin of proof
% 174.44/27.69  | 
% 174.44/27.69  | COMBINE_EQS: (1), (2) imply:
% 174.44/27.70  |   (4)  e1 = e0
% 174.44/27.70  | 
% 174.44/27.70  | SIMP: (4) implies:
% 174.44/27.70  |   (5)  e1 = e0
% 174.44/27.70  | 
% 174.44/27.70  | REDUCE: (3), (5) imply:
% 174.44/27.70  |   (6)  $false
% 174.44/27.70  | 
% 174.44/27.70  | CLOSE: (6) is inconsistent.
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #936 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)   ~ (e3 = e1)
% 174.44/27.70    (2)   ~ (all_52_2 = all_6_2)
% 174.44/27.70    (3)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.44/27.70    (4)  all_58_19 = all_52_3
% 174.44/27.70    (5)  all_6_2 = e1
% 174.44/27.70    (6)  all_58_18 = all_52_2
% 174.44/27.70    (7)  all_58_16 = all_6_2
% 174.44/27.70    (8)  all_58_17 = e0
% 174.44/27.70    (9)   ~ (all_52_3 = e0)
% 174.44/27.70    (10)   ~ (e2 = e0)
% 174.44/27.70  
% 174.44/27.70  Begin of proof
% 174.44/27.70  | 
% 174.44/27.70  | COMBINE_EQS: (5), (7) imply:
% 174.44/27.70  |   (11)  all_58_16 = e1
% 174.44/27.70  | 
% 174.44/27.70  | REDUCE: (2), (5) imply:
% 174.44/27.70  |   (12)   ~ (all_52_2 = e1)
% 174.44/27.70  | 
% 174.44/27.70  | REF_CLOSE: (1), (3), (4), (6), (8), (9), (10), (11), (12) are inconsistent by
% 174.44/27.70  |            sub-proof #937.
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #937 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)   ~ (e3 = e1)
% 174.44/27.70    (2)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.44/27.70    (3)  all_58_19 = all_52_3
% 174.44/27.70    (4)  all_58_16 = e1
% 174.44/27.70    (5)   ~ (all_52_2 = e1)
% 174.44/27.70    (6)  all_58_18 = all_52_2
% 174.44/27.70    (7)  all_58_17 = e0
% 174.44/27.70    (8)   ~ (all_52_3 = e0)
% 174.44/27.70    (9)   ~ (e2 = e0)
% 174.44/27.70  
% 174.44/27.70  Begin of proof
% 174.44/27.70  | 
% 174.44/27.70  | BETA: splitting (2) gives:
% 174.44/27.70  | 
% 174.44/27.70  | Case 1:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (10)  all_58_19 = e0
% 174.44/27.70  | | 
% 174.44/27.70  | | COMBINE_EQS: (3), (10) imply:
% 174.44/27.70  | |   (11)  all_52_3 = e0
% 174.44/27.70  | | 
% 174.44/27.70  | | REDUCE: (8), (11) imply:
% 174.44/27.70  | |   (12)  $false
% 174.44/27.70  | | 
% 174.44/27.70  | | CLOSE: (12) is inconsistent.
% 174.44/27.70  | | 
% 174.44/27.70  | Case 2:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (13)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.44/27.70  | | 
% 174.44/27.70  | | REF_CLOSE: (1), (4), (5), (6), (7), (9), (13) are inconsistent by sub-proof
% 174.44/27.70  | |            #938.
% 174.44/27.70  | | 
% 174.44/27.70  | End of split
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #938 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)   ~ (e3 = e1)
% 174.44/27.70    (2)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.44/27.70    (3)  all_58_16 = e1
% 174.44/27.70    (4)   ~ (all_52_2 = e1)
% 174.44/27.70    (5)  all_58_18 = all_52_2
% 174.44/27.70    (6)  all_58_17 = e0
% 174.44/27.70    (7)   ~ (e2 = e0)
% 174.44/27.70  
% 174.44/27.70  Begin of proof
% 174.44/27.70  | 
% 174.44/27.70  | BETA: splitting (2) gives:
% 174.44/27.70  | 
% 174.44/27.70  | Case 1:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (8)  all_58_18 = e1
% 174.44/27.70  | | 
% 174.44/27.70  | | COMBINE_EQS: (5), (8) imply:
% 174.44/27.70  | |   (9)  all_52_2 = e1
% 174.44/27.70  | | 
% 174.44/27.70  | | REDUCE: (4), (9) imply:
% 174.44/27.70  | |   (10)  $false
% 174.44/27.70  | | 
% 174.44/27.70  | | CLOSE: (10) is inconsistent.
% 174.44/27.70  | | 
% 174.44/27.70  | Case 2:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (11)  all_58_16 = e3 | all_58_17 = e2
% 174.44/27.70  | | 
% 174.44/27.70  | | REF_CLOSE: (1), (3), (6), (7), (11) are inconsistent by sub-proof #980.
% 174.44/27.70  | | 
% 174.44/27.70  | End of split
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #939 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)  all_56_0 = all_6_2
% 174.44/27.70    (2)  all_56_0 = e0
% 174.44/27.70    (3)   ~ (all_6_2 = e0)
% 174.44/27.70  
% 174.44/27.70  Begin of proof
% 174.44/27.70  | 
% 174.44/27.70  | COMBINE_EQS: (1), (2) imply:
% 174.44/27.70  |   (4)  all_6_2 = e0
% 174.44/27.70  | 
% 174.44/27.70  | SIMP: (4) implies:
% 174.44/27.70  |   (5)  all_6_2 = e0
% 174.44/27.70  | 
% 174.44/27.70  | REDUCE: (3), (5) imply:
% 174.44/27.70  |   (6)  $false
% 174.44/27.70  | 
% 174.44/27.70  | CLOSE: (6) is inconsistent.
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #940 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)  all_56_3 = e0 | all_56_7 = e0 | all_56_13 = e0
% 174.44/27.70    (2)  all_56_13 = all_52_7
% 174.44/27.70    (3)   ~ (all_4_2 = e0)
% 174.44/27.70    (4)   ~ (all_52_7 = e0)
% 174.44/27.70    (5)  all_56_3 = all_4_2
% 174.44/27.70    (6)   ~ (all_52_6 = e0)
% 174.44/27.70    (7)  all_56_7 = all_52_6
% 174.44/27.70  
% 174.44/27.70  Begin of proof
% 174.44/27.70  | 
% 174.44/27.70  | BETA: splitting (1) gives:
% 174.44/27.70  | 
% 174.44/27.70  | Case 1:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (8)  all_56_3 = e0
% 174.44/27.70  | | 
% 174.44/27.70  | | COMBINE_EQS: (5), (8) imply:
% 174.44/27.70  | |   (9)  all_4_2 = e0
% 174.44/27.70  | | 
% 174.44/27.70  | | REDUCE: (3), (9) imply:
% 174.44/27.70  | |   (10)  $false
% 174.44/27.70  | | 
% 174.44/27.70  | | CLOSE: (10) is inconsistent.
% 174.44/27.70  | | 
% 174.44/27.70  | Case 2:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (11)  all_56_7 = e0 | all_56_13 = e0
% 174.44/27.70  | | 
% 174.44/27.70  | | REF_CLOSE: (2), (4), (6), (7), (11) are inconsistent by sub-proof #941.
% 174.44/27.70  | | 
% 174.44/27.70  | End of split
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #941 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)  all_56_7 = e0 | all_56_13 = e0
% 174.44/27.70    (2)  all_56_13 = all_52_7
% 174.44/27.70    (3)   ~ (all_52_7 = e0)
% 174.44/27.70    (4)   ~ (all_52_6 = e0)
% 174.44/27.70    (5)  all_56_7 = all_52_6
% 174.44/27.70  
% 174.44/27.70  Begin of proof
% 174.44/27.70  | 
% 174.44/27.70  | BETA: splitting (1) gives:
% 174.44/27.70  | 
% 174.44/27.70  | Case 1:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (6)  all_56_7 = e0
% 174.44/27.70  | | 
% 174.44/27.70  | | COMBINE_EQS: (5), (6) imply:
% 174.44/27.70  | |   (7)  all_52_6 = e0
% 174.44/27.70  | | 
% 174.44/27.70  | | REDUCE: (4), (7) imply:
% 174.44/27.70  | |   (8)  $false
% 174.44/27.70  | | 
% 174.44/27.70  | | CLOSE: (8) is inconsistent.
% 174.44/27.70  | | 
% 174.44/27.70  | Case 2:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (9)  all_56_13 = e0
% 174.44/27.70  | | 
% 174.44/27.70  | | REF_CLOSE: (2), (3), (9) are inconsistent by sub-proof #942.
% 174.44/27.70  | | 
% 174.44/27.70  | End of split
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #942 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)  all_56_13 = all_52_7
% 174.44/27.70    (2)  all_56_13 = e0
% 174.44/27.70    (3)   ~ (all_52_7 = e0)
% 174.44/27.70  
% 174.44/27.70  Begin of proof
% 174.44/27.70  | 
% 174.44/27.70  | COMBINE_EQS: (1), (2) imply:
% 174.44/27.70  |   (4)  all_52_7 = e0
% 174.44/27.70  | 
% 174.44/27.70  | SIMP: (4) implies:
% 174.44/27.70  |   (5)  all_52_7 = e0
% 174.44/27.70  | 
% 174.44/27.70  | REDUCE: (3), (5) imply:
% 174.44/27.70  |   (6)  $false
% 174.44/27.70  | 
% 174.44/27.70  | CLOSE: (6) is inconsistent.
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #943 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)  all_56_10 = all_52_13
% 174.44/27.70    (2)  all_56_10 = e0
% 174.44/27.70    (3)   ~ (all_52_13 = e0)
% 174.44/27.70  
% 174.44/27.70  Begin of proof
% 174.44/27.70  | 
% 174.44/27.70  | COMBINE_EQS: (1), (2) imply:
% 174.44/27.70  |   (4)  all_52_13 = e0
% 174.44/27.70  | 
% 174.44/27.70  | SIMP: (4) implies:
% 174.44/27.70  |   (5)  all_52_13 = e0
% 174.44/27.70  | 
% 174.44/27.70  | REDUCE: (3), (5) imply:
% 174.44/27.70  |   (6)  $false
% 174.44/27.70  | 
% 174.44/27.70  | CLOSE: (6) is inconsistent.
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #944 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)  all_54_0 = e3 | all_54_0 = e2
% 174.44/27.70    (2)  all_54_0 = all_6_2
% 174.44/27.70    (3)   ~ (all_6_2 = e2)
% 174.44/27.70    (4)   ~ (all_6_2 = e3)
% 174.44/27.70  
% 174.44/27.70  Begin of proof
% 174.44/27.70  | 
% 174.44/27.70  | BETA: splitting (1) gives:
% 174.44/27.70  | 
% 174.44/27.70  | Case 1:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (5)  all_54_0 = e2
% 174.44/27.70  | | 
% 174.44/27.70  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #946.
% 174.44/27.70  | | 
% 174.44/27.70  | Case 2:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (6)  all_54_0 = e3
% 174.44/27.70  | | 
% 174.44/27.70  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #945.
% 174.44/27.70  | | 
% 174.44/27.70  | End of split
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #945 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)  all_54_0 = all_6_2
% 174.44/27.70    (2)  all_54_0 = e3
% 174.44/27.70    (3)   ~ (all_6_2 = e3)
% 174.44/27.70  
% 174.44/27.70  Begin of proof
% 174.44/27.70  | 
% 174.44/27.70  | COMBINE_EQS: (1), (2) imply:
% 174.44/27.70  |   (4)  all_6_2 = e3
% 174.44/27.70  | 
% 174.44/27.70  | SIMP: (4) implies:
% 174.44/27.70  |   (5)  all_6_2 = e3
% 174.44/27.70  | 
% 174.44/27.70  | REDUCE: (3), (5) imply:
% 174.44/27.70  |   (6)  $false
% 174.44/27.70  | 
% 174.44/27.70  | CLOSE: (6) is inconsistent.
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #946 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)  all_54_0 = all_6_2
% 174.44/27.70    (2)  all_54_0 = e2
% 174.44/27.70    (3)   ~ (all_6_2 = e2)
% 174.44/27.70  
% 174.44/27.70  Begin of proof
% 174.44/27.70  | 
% 174.44/27.70  | COMBINE_EQS: (1), (2) imply:
% 174.44/27.70  |   (4)  all_6_2 = e2
% 174.44/27.70  | 
% 174.44/27.70  | SIMP: (4) implies:
% 174.44/27.70  |   (5)  all_6_2 = e2
% 174.44/27.70  | 
% 174.44/27.70  | REDUCE: (3), (5) imply:
% 174.44/27.70  |   (6)  $false
% 174.44/27.70  | 
% 174.44/27.70  | CLOSE: (6) is inconsistent.
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #947 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)  all_58_24 = e2
% 174.44/27.70    (2)  all_58_25 = e0
% 174.44/27.70    (3)  all_58_24 = e3 | all_58_25 = e2
% 174.44/27.70    (4)   ~ (e3 = e2)
% 174.44/27.70    (5)   ~ (e2 = e0)
% 174.44/27.70  
% 174.44/27.70  Begin of proof
% 174.44/27.70  | 
% 174.44/27.70  | BETA: splitting (3) gives:
% 174.44/27.70  | 
% 174.44/27.70  | Case 1:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (6)  all_58_25 = e2
% 174.44/27.70  | | 
% 174.44/27.70  | | COMBINE_EQS: (2), (6) imply:
% 174.44/27.70  | |   (7)  e2 = e0
% 174.44/27.70  | | 
% 174.44/27.70  | | REDUCE: (5), (7) imply:
% 174.44/27.70  | |   (8)  $false
% 174.44/27.70  | | 
% 174.44/27.70  | | CLOSE: (8) is inconsistent.
% 174.44/27.70  | | 
% 174.44/27.70  | Case 2:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (9)  all_58_24 = e3
% 174.44/27.70  | | 
% 174.44/27.70  | | COMBINE_EQS: (1), (9) imply:
% 174.44/27.70  | |   (10)  e3 = e2
% 174.44/27.70  | | 
% 174.44/27.70  | | REDUCE: (4), (10) imply:
% 174.44/27.70  | |   (11)  $false
% 174.44/27.70  | | 
% 174.44/27.70  | | CLOSE: (11) is inconsistent.
% 174.44/27.70  | | 
% 174.44/27.70  | End of split
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #948 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)  all_58_20 = e3
% 174.44/27.70    (2)  all_58_20 = e0
% 174.44/27.70    (3)   ~ (e3 = e0)
% 174.44/27.70  
% 174.44/27.70  Begin of proof
% 174.44/27.70  | 
% 174.44/27.70  | COMBINE_EQS: (1), (2) imply:
% 174.44/27.70  |   (4)  e3 = e0
% 174.44/27.70  | 
% 174.44/27.70  | SIMP: (4) implies:
% 174.44/27.70  |   (5)  e3 = e0
% 174.44/27.70  | 
% 174.44/27.70  | REDUCE: (3), (5) imply:
% 174.44/27.70  |   (6)  $false
% 174.44/27.70  | 
% 174.44/27.70  | CLOSE: (6) is inconsistent.
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #949 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)  op(e3, e3) = all_58_0
% 174.44/27.70    (2)  op(e2, e2) = e2
% 174.44/27.70    (3)  op(e3, e3) = e3
% 174.44/27.70    (4)  op(e1, e1) = all_58_10
% 174.44/27.70    (5)  op(e2, e2) = all_58_5
% 174.44/27.70    (6)  op(e1, e1) = e1
% 174.44/27.70    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.44/27.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.44/27.70    (8)  all_58_15 = e0
% 174.44/27.70    (9)  op(e1, e1) = all_10_1
% 174.44/27.70    (10)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 174.44/27.70            (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 174.44/27.70            (all_58_6 = e1) &  ~ (all_58_7 = e0)) | ( ~ (all_58_8 = e3) &  ~
% 174.44/27.70            (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~ (all_58_11 = e0)) | ( ~
% 174.44/27.70            (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) &  ~
% 174.44/27.70            (all_58_15 = e0))
% 174.44/27.70  
% 174.44/27.70  Begin of proof
% 174.44/27.70  | 
% 174.44/27.70  | GROUND_INST: instantiating (7) with all_10_1, all_58_10, e1, e1, simplifying
% 174.44/27.70  |              with (4), (9) gives:
% 174.44/27.70  |   (11)  all_58_10 = all_10_1
% 174.44/27.70  | 
% 174.44/27.70  | GROUND_INST: instantiating (7) with e1, all_58_10, e1, e1, simplifying with
% 174.44/27.70  |              (4), (6) gives:
% 174.44/27.70  |   (12)  all_58_10 = e1
% 174.44/27.70  | 
% 174.44/27.70  | GROUND_INST: instantiating (7) with e2, all_58_5, e2, e2, simplifying with
% 174.44/27.70  |              (2), (5) gives:
% 174.44/27.70  |   (13)  all_58_5 = e2
% 174.44/27.70  | 
% 174.44/27.70  | GROUND_INST: instantiating (7) with e3, all_58_0, e3, e3, simplifying with
% 174.44/27.70  |              (1), (3) gives:
% 174.44/27.70  |   (14)  all_58_0 = e3
% 174.44/27.70  | 
% 174.44/27.70  | COMBINE_EQS: (11), (12) imply:
% 174.44/27.70  |   (15)  all_10_1 = e1
% 174.44/27.70  | 
% 174.44/27.70  | BETA: splitting (10) gives:
% 174.44/27.70  | 
% 174.44/27.70  | Case 1:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (16)  ( ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 174.44/27.70  | |           (all_58_3 = e0)) | ( ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~
% 174.44/27.70  | |           (all_58_6 = e1) &  ~ (all_58_7 = e0))
% 174.44/27.70  | | 
% 174.44/27.70  | | BETA: splitting (16) gives:
% 174.44/27.70  | | 
% 174.44/27.70  | | Case 1:
% 174.44/27.70  | | | 
% 174.44/27.70  | | |   (17)   ~ (all_58_0 = e3) &  ~ (all_58_1 = e2) &  ~ (all_58_2 = e1) &  ~
% 174.44/27.70  | | |         (all_58_3 = e0)
% 174.44/27.70  | | | 
% 174.44/27.70  | | | ALPHA: (17) implies:
% 174.44/27.70  | | |   (18)   ~ (all_58_0 = e3)
% 174.44/27.70  | | | 
% 174.44/27.70  | | | REDUCE: (14), (18) imply:
% 174.44/27.70  | | |   (19)  $false
% 174.44/27.70  | | | 
% 174.44/27.70  | | | CLOSE: (19) is inconsistent.
% 174.44/27.70  | | | 
% 174.44/27.70  | | Case 2:
% 174.44/27.70  | | | 
% 174.44/27.70  | | |   (20)   ~ (all_58_4 = e3) &  ~ (all_58_5 = e2) &  ~ (all_58_6 = e1) &  ~
% 174.44/27.70  | | |         (all_58_7 = e0)
% 174.44/27.70  | | | 
% 174.44/27.70  | | | ALPHA: (20) implies:
% 174.44/27.70  | | |   (21)   ~ (all_58_5 = e2)
% 174.44/27.70  | | | 
% 174.44/27.70  | | | REDUCE: (13), (21) imply:
% 174.44/27.70  | | |   (22)  $false
% 174.44/27.70  | | | 
% 174.44/27.70  | | | CLOSE: (22) is inconsistent.
% 174.44/27.70  | | | 
% 174.44/27.70  | | End of split
% 174.44/27.70  | | 
% 174.44/27.70  | Case 2:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (23)  ( ~ (all_58_8 = e3) &  ~ (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~
% 174.44/27.70  | |           (all_58_11 = e0)) | ( ~ (all_58_12 = e3) &  ~ (all_58_13 = e2) & 
% 174.44/27.70  | |           ~ (all_58_14 = e1) &  ~ (all_58_15 = e0))
% 174.44/27.70  | | 
% 174.44/27.70  | | BETA: splitting (23) gives:
% 174.44/27.70  | | 
% 174.44/27.70  | | Case 1:
% 174.44/27.70  | | | 
% 174.44/27.70  | | |   (24)   ~ (all_58_8 = e3) &  ~ (all_58_9 = e2) &  ~ (all_58_10 = e1) &  ~
% 174.44/27.70  | | |         (all_58_11 = e0)
% 174.44/27.70  | | | 
% 174.44/27.70  | | | ALPHA: (24) implies:
% 174.44/27.70  | | |   (25)   ~ (all_58_10 = e1)
% 174.44/27.70  | | | 
% 174.44/27.70  | | | REDUCE: (12), (25) imply:
% 174.44/27.70  | | |   (26)  $false
% 174.44/27.70  | | | 
% 174.44/27.70  | | | CLOSE: (26) is inconsistent.
% 174.44/27.70  | | | 
% 174.44/27.70  | | Case 2:
% 174.44/27.70  | | | 
% 174.44/27.70  | | |   (27)   ~ (all_58_12 = e3) &  ~ (all_58_13 = e2) &  ~ (all_58_14 = e1) & 
% 174.44/27.70  | | |         ~ (all_58_15 = e0)
% 174.44/27.70  | | | 
% 174.44/27.70  | | | ALPHA: (27) implies:
% 174.44/27.70  | | |   (28)   ~ (all_58_15 = e0)
% 174.44/27.70  | | | 
% 174.44/27.70  | | | REDUCE: (8), (28) imply:
% 174.44/27.70  | | |   (29)  $false
% 174.44/27.70  | | | 
% 174.44/27.70  | | | CLOSE: (29) is inconsistent.
% 174.44/27.70  | | | 
% 174.44/27.70  | | End of split
% 174.44/27.70  | | 
% 174.44/27.70  | End of split
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #950 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)  all_56_1 = e2
% 174.44/27.70    (2)  all_56_1 = e0
% 174.44/27.70    (3)   ~ (e2 = e0)
% 174.44/27.70  
% 174.44/27.70  Begin of proof
% 174.44/27.70  | 
% 174.44/27.70  | COMBINE_EQS: (1), (2) imply:
% 174.44/27.70  |   (4)  e2 = e0
% 174.44/27.70  | 
% 174.44/27.70  | SIMP: (4) implies:
% 174.44/27.70  |   (5)  e2 = e0
% 174.44/27.70  | 
% 174.44/27.70  | REDUCE: (3), (5) imply:
% 174.44/27.70  |   (6)  $false
% 174.44/27.70  | 
% 174.44/27.70  | CLOSE: (6) is inconsistent.
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #951 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)  all_54_0 = all_6_2
% 174.44/27.70    (2)  all_54_0 = e1
% 174.44/27.70    (3)   ~ (all_6_2 = e1)
% 174.44/27.70  
% 174.44/27.70  Begin of proof
% 174.44/27.70  | 
% 174.44/27.70  | COMBINE_EQS: (1), (2) imply:
% 174.44/27.70  |   (4)  all_6_2 = e1
% 174.44/27.70  | 
% 174.44/27.70  | SIMP: (4) implies:
% 174.44/27.70  |   (5)  all_6_2 = e1
% 174.44/27.70  | 
% 174.44/27.70  | REDUCE: (3), (5) imply:
% 174.44/27.70  |   (6)  $false
% 174.44/27.70  | 
% 174.44/27.70  | CLOSE: (6) is inconsistent.
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #952 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.44/27.70    (2)  all_56_12 = all_52_3
% 174.44/27.70    (3)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.44/27.70    (4)   ~ (all_52_6 = all_4_2)
% 174.44/27.70    (5)  all_58_18 = e0
% 174.44/27.70    (6)   ~ (all_52_1 = all_6_2)
% 174.44/27.70    (7)   ~ (all_4_1 = e0)
% 174.44/27.70    (8)  all_56_0 = all_6_2
% 174.44/27.70    (9)   ~ (all_52_3 = e2)
% 174.44/27.70    (10)  op(all_4_2, e2) = all_4_1
% 174.44/27.70    (11)  all_58_17 = all_52_1
% 174.44/27.70    (12)  all_58_20 = e0
% 174.44/27.70    (13)  all_58_19 = all_52_3
% 174.44/27.70    (14)   ~ (e3 = e2)
% 174.44/27.70    (15)   ~ (all_52_1 = all_4_2)
% 174.44/27.70    (16)  all_56_0 = e2 | all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.44/27.70    (17)  all_58_16 = all_6_2
% 174.44/27.70    (18)  all_56_2 = all_52_1
% 174.44/27.70    (19)   ~ (e3 = e0)
% 174.44/27.70    (20)  op(e3, e2) = e0
% 174.44/27.70    (21)  all_56_6 = e0
% 174.44/27.70    (22)  all_58_22 = all_52_6
% 174.44/27.70    (23)  all_56_3 = all_4_2
% 174.44/27.70    (24)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.44/27.70            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.44/27.70    (25)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 174.44/27.70    (26)  all_58_21 = all_4_2
% 174.44/27.70    (27)   ~ (all_52_3 = e0)
% 174.44/27.70    (28)   ~ (e2 = e0)
% 174.44/27.70    (29)   ~ (e1 = e0)
% 174.44/27.70    (30)  all_54_5 = all_4_2
% 174.44/27.70    (31)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.44/27.70  
% 174.44/27.70  Begin of proof
% 174.44/27.70  | 
% 174.44/27.70  | BETA: splitting (16) gives:
% 174.44/27.70  | 
% 174.44/27.70  | Case 1:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (32)  all_56_0 = e2
% 174.44/27.70  | | 
% 174.44/27.70  | | REF_CLOSE: (3), (5), (6), (8), (11), (13), (14), (17), (27), (29), (32) are
% 174.44/27.70  | |            inconsistent by sub-proof #961.
% 174.44/27.70  | | 
% 174.44/27.70  | Case 2:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (33)  all_56_2 = e2 | all_56_6 = e2 | all_56_12 = e2
% 174.44/27.70  | | 
% 174.44/27.70  | | BETA: splitting (33) gives:
% 174.44/27.70  | | 
% 174.44/27.70  | | Case 1:
% 174.44/27.70  | | | 
% 174.44/27.70  | | |   (34)  all_56_2 = e2
% 174.44/27.70  | | | 
% 174.44/27.70  | | | COMBINE_EQS: (18), (34) imply:
% 174.44/27.70  | | |   (35)  all_52_1 = e2
% 174.44/27.70  | | | 
% 174.44/27.70  | | | REDUCE: (15), (35) imply:
% 174.44/27.70  | | |   (36)   ~ (all_4_2 = e2)
% 174.44/27.70  | | | 
% 174.44/27.70  | | | SIMP: (36) implies:
% 174.44/27.70  | | |   (37)   ~ (all_4_2 = e2)
% 174.44/27.70  | | | 
% 174.44/27.70  | | | REF_CLOSE: (1), (4), (7), (10), (12), (14), (19), (20), (22), (23), (24),
% 174.44/27.70  | | |            (25), (26), (30), (31), (34), (37) are inconsistent by
% 174.44/27.70  | | |            sub-proof #955.
% 174.44/27.70  | | | 
% 174.44/27.70  | | Case 2:
% 174.44/27.70  | | | 
% 174.44/27.70  | | |   (38)  all_56_6 = e2 | all_56_12 = e2
% 174.44/27.70  | | | 
% 174.44/27.70  | | | BETA: splitting (38) gives:
% 174.44/27.70  | | | 
% 174.44/27.70  | | | Case 1:
% 174.44/27.70  | | | | 
% 174.44/27.70  | | | |   (39)  all_56_6 = e2
% 174.44/27.70  | | | | 
% 174.44/27.70  | | | | REF_CLOSE: (21), (28), (39) are inconsistent by sub-proof #954.
% 174.44/27.70  | | | | 
% 174.44/27.70  | | | Case 2:
% 174.44/27.70  | | | | 
% 174.44/27.70  | | | |   (40)  all_56_12 = e2
% 174.44/27.70  | | | | 
% 174.44/27.70  | | | | REF_CLOSE: (2), (9), (40) are inconsistent by sub-proof #953.
% 174.44/27.70  | | | | 
% 174.44/27.70  | | | End of split
% 174.44/27.70  | | | 
% 174.44/27.70  | | End of split
% 174.44/27.70  | | 
% 174.44/27.70  | End of split
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #953 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)  all_56_12 = all_52_3
% 174.44/27.70    (2)  all_56_12 = e2
% 174.44/27.70    (3)   ~ (all_52_3 = e2)
% 174.44/27.70  
% 174.44/27.70  Begin of proof
% 174.44/27.70  | 
% 174.44/27.70  | COMBINE_EQS: (1), (2) imply:
% 174.44/27.70  |   (4)  all_52_3 = e2
% 174.44/27.70  | 
% 174.44/27.70  | SIMP: (4) implies:
% 174.44/27.70  |   (5)  all_52_3 = e2
% 174.44/27.70  | 
% 174.44/27.70  | REDUCE: (3), (5) imply:
% 174.44/27.70  |   (6)  $false
% 174.44/27.70  | 
% 174.44/27.70  | CLOSE: (6) is inconsistent.
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #954 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)  all_56_6 = e2
% 174.44/27.70    (2)  all_56_6 = e0
% 174.44/27.70    (3)   ~ (e2 = e0)
% 174.44/27.70  
% 174.44/27.70  Begin of proof
% 174.44/27.70  | 
% 174.44/27.70  | COMBINE_EQS: (1), (2) imply:
% 174.44/27.70  |   (4)  e2 = e0
% 174.44/27.70  | 
% 174.44/27.70  | SIMP: (4) implies:
% 174.44/27.70  |   (5)  e2 = e0
% 174.44/27.70  | 
% 174.44/27.70  | REDUCE: (3), (5) imply:
% 174.44/27.70  |   (6)  $false
% 174.44/27.70  | 
% 174.44/27.70  | CLOSE: (6) is inconsistent.
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #955 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.44/27.70    (2)   ~ (all_52_6 = all_4_2)
% 174.44/27.70    (3)   ~ (all_4_1 = e0)
% 174.44/27.70    (4)  op(all_4_2, e2) = all_4_1
% 174.44/27.70    (5)  all_58_20 = e0
% 174.44/27.70    (6)   ~ (e3 = e2)
% 174.44/27.70    (7)   ~ (e3 = e0)
% 174.44/27.70    (8)  op(e3, e2) = e0
% 174.44/27.70    (9)  all_56_2 = e2
% 174.44/27.70    (10)  all_58_22 = all_52_6
% 174.44/27.70    (11)  all_56_3 = all_4_2
% 174.44/27.70    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.44/27.70            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.44/27.70    (13)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 174.44/27.70    (14)  all_58_21 = all_4_2
% 174.44/27.70    (15)  all_54_5 = all_4_2
% 174.44/27.70    (16)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.44/27.70    (17)   ~ (all_4_2 = e2)
% 174.44/27.70  
% 174.44/27.70  Begin of proof
% 174.44/27.70  | 
% 174.44/27.70  | BETA: splitting (1) gives:
% 174.44/27.70  | 
% 174.44/27.70  | Case 1:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (18)  all_58_22 = e1
% 174.44/27.70  | | 
% 174.44/27.70  | | COMBINE_EQS: (10), (18) imply:
% 174.44/27.70  | |   (19)  all_52_6 = e1
% 174.44/27.70  | | 
% 174.44/27.70  | | SIMP: (19) implies:
% 174.44/27.70  | |   (20)  all_52_6 = e1
% 174.44/27.70  | | 
% 174.44/27.70  | | REDUCE: (2), (20) imply:
% 174.44/27.70  | |   (21)   ~ (all_4_2 = e1)
% 174.44/27.70  | | 
% 174.44/27.70  | | REF_CLOSE: (3), (4), (6), (8), (9), (11), (12), (13), (15), (16), (17), (21)
% 174.44/27.70  | |            are inconsistent by sub-proof #956.
% 174.44/27.70  | | 
% 174.44/27.70  | Case 2:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (22)  all_58_20 = e3 | all_58_21 = e2
% 174.44/27.70  | | 
% 174.44/27.70  | | REF_CLOSE: (5), (7), (14), (17), (22) are inconsistent by sub-proof #974.
% 174.44/27.70  | | 
% 174.44/27.70  | End of split
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #956 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)   ~ (all_4_1 = e0)
% 174.44/27.70    (2)  op(all_4_2, e2) = all_4_1
% 174.44/27.70    (3)   ~ (e3 = e2)
% 174.44/27.70    (4)  op(e3, e2) = e0
% 174.44/27.70    (5)   ~ (all_4_2 = e1)
% 174.44/27.70    (6)  all_56_2 = e2
% 174.44/27.70    (7)  all_56_3 = all_4_2
% 174.44/27.70    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.44/27.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.44/27.70    (9)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 174.44/27.70    (10)  all_54_5 = all_4_2
% 174.44/27.70    (11)  all_56_2 = e3 | all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.44/27.70    (12)   ~ (all_4_2 = e2)
% 174.44/27.70  
% 174.44/27.70  Begin of proof
% 174.44/27.70  | 
% 174.44/27.70  | SIMP: (5) implies:
% 174.44/27.70  |   (13)   ~ (all_4_2 = e1)
% 174.44/27.70  | 
% 174.44/27.70  | BETA: splitting (11) gives:
% 174.44/27.70  | 
% 174.44/27.70  | Case 1:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (14)  all_56_2 = e3
% 174.44/27.70  | | 
% 174.44/27.70  | | REF_CLOSE: (3), (6), (14) are inconsistent by sub-proof #960.
% 174.44/27.70  | | 
% 174.44/27.70  | Case 2:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (15)  all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.44/27.70  | | 
% 174.44/27.70  | | REF_CLOSE: (1), (2), (4), (7), (8), (9), (10), (12), (13), (15) are
% 174.44/27.70  | |            inconsistent by sub-proof #957.
% 174.44/27.70  | | 
% 174.44/27.70  | End of split
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #957 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)   ~ (all_4_1 = e0)
% 174.44/27.70    (2)  op(all_4_2, e2) = all_4_1
% 174.44/27.70    (3)   ~ (all_4_2 = e1)
% 174.44/27.70    (4)  op(e3, e2) = e0
% 174.44/27.70    (5)  all_56_3 = all_4_2
% 174.44/27.70    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.44/27.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.44/27.70    (7)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 174.44/27.70    (8)  all_56_3 = e3 | all_56_5 = e3 | all_56_10 = e3
% 174.44/27.70    (9)  all_54_5 = all_4_2
% 174.44/27.70    (10)   ~ (all_4_2 = e2)
% 174.44/27.70  
% 174.44/27.70  Begin of proof
% 174.44/27.70  | 
% 174.44/27.70  | BETA: splitting (8) gives:
% 174.44/27.70  | 
% 174.44/27.70  | Case 1:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (11)  all_56_3 = e3
% 174.44/27.70  | | 
% 174.44/27.70  | | COMBINE_EQS: (5), (11) imply:
% 174.44/27.70  | |   (12)  all_4_2 = e3
% 174.44/27.70  | | 
% 174.44/27.70  | | REDUCE: (2), (12) imply:
% 174.44/27.70  | |   (13)  op(e3, e2) = all_4_1
% 174.44/27.70  | | 
% 174.44/27.70  | | GROUND_INST: instantiating (6) with e0, all_4_1, e2, e3, simplifying with
% 174.44/27.70  | |              (4), (13) gives:
% 174.44/27.70  | |   (14)  all_4_1 = e0
% 174.44/27.70  | | 
% 174.44/27.70  | | REDUCE: (1), (14) imply:
% 174.44/27.70  | |   (15)  $false
% 174.44/27.70  | | 
% 174.44/27.70  | | CLOSE: (15) is inconsistent.
% 174.44/27.70  | | 
% 174.44/27.70  | Case 2:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (16)   ~ (all_56_3 = e3)
% 174.44/27.70  | | 
% 174.44/27.70  | | REDUCE: (5), (16) imply:
% 174.44/27.70  | |   (17)   ~ (all_4_2 = e3)
% 174.44/27.70  | | 
% 174.44/27.70  | | REF_CLOSE: (3), (7), (9), (10), (17) are inconsistent by sub-proof #958.
% 174.44/27.70  | | 
% 174.44/27.70  | End of split
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #958 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)   ~ (all_4_2 = e1)
% 174.44/27.70    (2)   ~ (all_4_2 = e3)
% 174.44/27.70    (3)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 174.44/27.70    (4)  all_54_5 = all_4_2
% 174.44/27.70    (5)   ~ (all_4_2 = e2)
% 174.44/27.70  
% 174.44/27.70  Begin of proof
% 174.44/27.70  | 
% 174.44/27.70  | BETA: splitting (3) gives:
% 174.44/27.70  | 
% 174.44/27.70  | Case 1:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (6)  all_54_5 = e1
% 174.44/27.70  | | 
% 174.44/27.70  | | REF_CLOSE: (1), (4), (6) are inconsistent by sub-proof #977.
% 174.44/27.70  | | 
% 174.44/27.70  | Case 2:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (7)  all_54_5 = e3 | all_54_5 = e2
% 174.44/27.70  | | 
% 174.44/27.70  | | REF_CLOSE: (2), (4), (5), (7) are inconsistent by sub-proof #959.
% 174.44/27.70  | | 
% 174.44/27.70  | End of split
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #959 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)  all_54_5 = e3 | all_54_5 = e2
% 174.44/27.70    (2)  all_54_5 = all_4_2
% 174.44/27.70    (3)   ~ (all_4_2 = e2)
% 174.44/27.70    (4)   ~ (all_4_2 = e3)
% 174.44/27.70  
% 174.44/27.70  Begin of proof
% 174.44/27.70  | 
% 174.44/27.70  | BETA: splitting (1) gives:
% 174.44/27.70  | 
% 174.44/27.70  | Case 1:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (5)  all_54_5 = e2
% 174.44/27.70  | | 
% 174.44/27.70  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #976.
% 174.44/27.70  | | 
% 174.44/27.70  | Case 2:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (6)  all_54_5 = e3
% 174.44/27.70  | | 
% 174.44/27.70  | | COMBINE_EQS: (2), (6) imply:
% 174.44/27.70  | |   (7)  all_4_2 = e3
% 174.44/27.70  | | 
% 174.44/27.70  | | SIMP: (7) implies:
% 174.44/27.70  | |   (8)  all_4_2 = e3
% 174.44/27.70  | | 
% 174.44/27.70  | | REDUCE: (4), (8) imply:
% 174.44/27.70  | |   (9)  $false
% 174.44/27.70  | | 
% 174.44/27.70  | | CLOSE: (9) is inconsistent.
% 174.44/27.70  | | 
% 174.44/27.70  | End of split
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #960 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)  all_56_2 = e3
% 174.44/27.70    (2)  all_56_2 = e2
% 174.44/27.70    (3)   ~ (e3 = e2)
% 174.44/27.70  
% 174.44/27.70  Begin of proof
% 174.44/27.70  | 
% 174.44/27.70  | COMBINE_EQS: (1), (2) imply:
% 174.44/27.70  |   (4)  e3 = e2
% 174.44/27.70  | 
% 174.44/27.70  | SIMP: (4) implies:
% 174.44/27.70  |   (5)  e3 = e2
% 174.44/27.70  | 
% 174.44/27.70  | REDUCE: (3), (5) imply:
% 174.44/27.70  |   (6)  $false
% 174.44/27.70  | 
% 174.44/27.70  | CLOSE: (6) is inconsistent.
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #961 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.44/27.70    (2)  all_58_18 = e0
% 174.44/27.70    (3)   ~ (all_52_1 = all_6_2)
% 174.44/27.70    (4)  all_56_0 = all_6_2
% 174.44/27.70    (5)  all_58_17 = all_52_1
% 174.44/27.70    (6)  all_58_19 = all_52_3
% 174.44/27.70    (7)   ~ (e3 = e2)
% 174.44/27.70    (8)  all_58_16 = all_6_2
% 174.44/27.70    (9)  all_56_0 = e2
% 174.44/27.70    (10)   ~ (all_52_3 = e0)
% 174.44/27.70    (11)   ~ (e1 = e0)
% 174.44/27.70  
% 174.44/27.70  Begin of proof
% 174.44/27.70  | 
% 174.44/27.70  | COMBINE_EQS: (4), (9) imply:
% 174.44/27.70  |   (12)  all_6_2 = e2
% 174.44/27.70  | 
% 174.44/27.70  | SIMP: (12) implies:
% 174.44/27.70  |   (13)  all_6_2 = e2
% 174.44/27.70  | 
% 174.44/27.70  | COMBINE_EQS: (8), (13) imply:
% 174.44/27.70  |   (14)  all_58_16 = e2
% 174.44/27.70  | 
% 174.44/27.70  | REDUCE: (3), (13) imply:
% 174.44/27.70  |   (15)   ~ (all_52_1 = e2)
% 174.44/27.70  | 
% 174.44/27.70  | REF_CLOSE: (1), (2), (5), (6), (7), (10), (11), (14), (15) are inconsistent by
% 174.44/27.70  |            sub-proof #962.
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #962 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1 | all_58_19 = e0
% 174.44/27.70    (2)  all_58_18 = e0
% 174.44/27.70    (3)  all_58_17 = all_52_1
% 174.44/27.70    (4)  all_58_19 = all_52_3
% 174.44/27.70    (5)   ~ (e3 = e2)
% 174.44/27.70    (6)  all_58_16 = e2
% 174.44/27.70    (7)   ~ (all_52_1 = e2)
% 174.44/27.70    (8)   ~ (all_52_3 = e0)
% 174.44/27.70    (9)   ~ (e1 = e0)
% 174.44/27.70  
% 174.44/27.70  Begin of proof
% 174.44/27.70  | 
% 174.44/27.70  | BETA: splitting (1) gives:
% 174.44/27.70  | 
% 174.44/27.70  | Case 1:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (10)  all_58_19 = e0
% 174.44/27.70  | | 
% 174.44/27.70  | | COMBINE_EQS: (4), (10) imply:
% 174.44/27.70  | |   (11)  all_52_3 = e0
% 174.44/27.70  | | 
% 174.44/27.70  | | REDUCE: (8), (11) imply:
% 174.44/27.70  | |   (12)  $false
% 174.44/27.70  | | 
% 174.44/27.70  | | CLOSE: (12) is inconsistent.
% 174.44/27.70  | | 
% 174.44/27.70  | Case 2:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (13)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.44/27.70  | | 
% 174.44/27.70  | | REF_CLOSE: (2), (3), (5), (6), (7), (9), (13) are inconsistent by sub-proof
% 174.44/27.70  | |            #963.
% 174.44/27.70  | | 
% 174.44/27.70  | End of split
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #963 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.44/27.70    (2)  all_58_18 = e0
% 174.44/27.70    (3)  all_58_17 = all_52_1
% 174.44/27.70    (4)   ~ (e3 = e2)
% 174.44/27.70    (5)  all_58_16 = e2
% 174.44/27.70    (6)   ~ (all_52_1 = e2)
% 174.44/27.70    (7)   ~ (e1 = e0)
% 174.44/27.70  
% 174.44/27.70  Begin of proof
% 174.44/27.70  | 
% 174.44/27.70  | BETA: splitting (1) gives:
% 174.44/27.70  | 
% 174.44/27.70  | Case 1:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (8)  all_58_18 = e1
% 174.44/27.70  | | 
% 174.44/27.70  | | COMBINE_EQS: (2), (8) imply:
% 174.44/27.70  | |   (9)  e1 = e0
% 174.44/27.70  | | 
% 174.44/27.70  | | REDUCE: (7), (9) imply:
% 174.44/27.70  | |   (10)  $false
% 174.44/27.70  | | 
% 174.44/27.70  | | CLOSE: (10) is inconsistent.
% 174.44/27.70  | | 
% 174.44/27.70  | Case 2:
% 174.44/27.70  | | 
% 174.44/27.70  | |   (11)  all_58_16 = e3 | all_58_17 = e2
% 174.44/27.70  | | 
% 174.44/27.70  | | BETA: splitting (11) gives:
% 174.44/27.70  | | 
% 174.44/27.70  | | Case 1:
% 174.44/27.70  | | | 
% 174.44/27.70  | | |   (12)  all_58_17 = e2
% 174.44/27.70  | | | 
% 174.44/27.70  | | | COMBINE_EQS: (3), (12) imply:
% 174.44/27.70  | | |   (13)  all_52_1 = e2
% 174.44/27.70  | | | 
% 174.44/27.70  | | | REDUCE: (6), (13) imply:
% 174.44/27.70  | | |   (14)  $false
% 174.44/27.70  | | | 
% 174.44/27.70  | | | CLOSE: (14) is inconsistent.
% 174.44/27.70  | | | 
% 174.44/27.70  | | Case 2:
% 174.44/27.70  | | | 
% 174.44/27.70  | | |   (15)  all_58_16 = e3
% 174.44/27.70  | | | 
% 174.44/27.70  | | | REF_CLOSE: (4), (5), (15) are inconsistent by sub-proof #964.
% 174.44/27.70  | | | 
% 174.44/27.70  | | End of split
% 174.44/27.70  | | 
% 174.44/27.70  | End of split
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #964 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)  all_58_16 = e3
% 174.44/27.70    (2)  all_58_16 = e2
% 174.44/27.70    (3)   ~ (e3 = e2)
% 174.44/27.70  
% 174.44/27.70  Begin of proof
% 174.44/27.70  | 
% 174.44/27.70  | COMBINE_EQS: (1), (2) imply:
% 174.44/27.70  |   (4)  e3 = e2
% 174.44/27.70  | 
% 174.44/27.70  | SIMP: (4) implies:
% 174.44/27.70  |   (5)  e3 = e2
% 174.44/27.70  | 
% 174.44/27.70  | REDUCE: (3), (5) imply:
% 174.44/27.70  |   (6)  $false
% 174.44/27.70  | 
% 174.44/27.70  | CLOSE: (6) is inconsistent.
% 174.44/27.70  | 
% 174.44/27.70  End of proof
% 174.44/27.70  
% 174.44/27.70  Sub-proof #965 shows that the following formulas are inconsistent:
% 174.44/27.70  ----------------------------------------------------------------
% 174.44/27.70    (1)   ~ (e3 = e1)
% 174.44/27.70    (2)  all_56_4 = e1
% 174.44/27.71    (3)  all_58_26 = all_10_2
% 174.44/27.71    (4)  all_58_25 = e0
% 174.44/27.71    (5)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.44/27.71    (6)   ~ (all_52_8 = all_10_2)
% 174.44/27.71    (7)  all_56_4 = all_52_8
% 174.44/27.71    (8)  all_58_24 = all_52_8
% 174.44/27.71    (9)   ~ (e2 = e0)
% 174.44/27.71  
% 174.44/27.71  Begin of proof
% 174.44/27.71  | 
% 174.44/27.71  | COMBINE_EQS: (2), (7) imply:
% 174.44/27.71  |   (10)  all_52_8 = e1
% 174.44/27.71  | 
% 174.44/27.71  | COMBINE_EQS: (8), (10) imply:
% 174.44/27.71  |   (11)  all_58_24 = e1
% 174.44/27.71  | 
% 174.44/27.71  | REDUCE: (6), (10) imply:
% 174.44/27.71  |   (12)   ~ (all_10_2 = e1)
% 174.44/27.71  | 
% 174.44/27.71  | SIMP: (12) implies:
% 174.44/27.71  |   (13)   ~ (all_10_2 = e1)
% 174.44/27.71  | 
% 174.44/27.71  | REF_CLOSE: (1), (3), (4), (5), (9), (11), (13) are inconsistent by sub-proof
% 174.44/27.71  |            #966.
% 174.44/27.71  | 
% 174.44/27.71  End of proof
% 174.44/27.71  
% 174.44/27.71  Sub-proof #966 shows that the following formulas are inconsistent:
% 174.44/27.71  ----------------------------------------------------------------
% 174.44/27.71    (1)   ~ (e3 = e1)
% 174.44/27.71    (2)  all_58_24 = e1
% 174.44/27.71    (3)  all_58_26 = all_10_2
% 174.44/27.71    (4)  all_58_25 = e0
% 174.44/27.71    (5)   ~ (all_10_2 = e1)
% 174.44/27.71    (6)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.44/27.71    (7)   ~ (e2 = e0)
% 174.44/27.71  
% 174.44/27.71  Begin of proof
% 174.44/27.71  | 
% 174.44/27.71  | BETA: splitting (6) gives:
% 174.44/27.71  | 
% 174.44/27.71  | Case 1:
% 174.44/27.71  | | 
% 174.44/27.71  | |   (8)  all_58_26 = e1
% 174.44/27.71  | | 
% 174.44/27.71  | | REF_CLOSE: (3), (5), (8) are inconsistent by sub-proof #968.
% 174.44/27.71  | | 
% 174.44/27.71  | Case 2:
% 174.44/27.71  | | 
% 174.44/27.71  | |   (9)  all_58_24 = e3 | all_58_25 = e2
% 174.44/27.71  | | 
% 174.44/27.71  | | REF_CLOSE: (1), (2), (4), (7), (9) are inconsistent by sub-proof #967.
% 174.44/27.71  | | 
% 174.44/27.71  | End of split
% 174.44/27.71  | 
% 174.44/27.71  End of proof
% 174.44/27.71  
% 174.44/27.71  Sub-proof #967 shows that the following formulas are inconsistent:
% 174.44/27.71  ----------------------------------------------------------------
% 174.44/27.71    (1)   ~ (e3 = e1)
% 174.44/27.71    (2)  all_58_24 = e1
% 174.44/27.71    (3)  all_58_25 = e0
% 174.44/27.71    (4)  all_58_24 = e3 | all_58_25 = e2
% 174.44/27.71    (5)   ~ (e2 = e0)
% 174.44/27.71  
% 174.44/27.71  Begin of proof
% 174.44/27.71  | 
% 174.44/27.71  | BETA: splitting (4) gives:
% 174.44/27.71  | 
% 174.44/27.71  | Case 1:
% 174.44/27.71  | | 
% 174.44/27.71  | |   (6)  all_58_25 = e2
% 174.44/27.71  | | 
% 174.44/27.71  | | COMBINE_EQS: (3), (6) imply:
% 174.44/27.71  | |   (7)  e2 = e0
% 174.44/27.71  | | 
% 174.44/27.71  | | REDUCE: (5), (7) imply:
% 174.44/27.71  | |   (8)  $false
% 174.44/27.71  | | 
% 174.44/27.71  | | CLOSE: (8) is inconsistent.
% 174.44/27.71  | | 
% 174.44/27.71  | Case 2:
% 174.44/27.71  | | 
% 174.44/27.71  | |   (9)  all_58_24 = e3
% 174.44/27.71  | | 
% 174.44/27.71  | | COMBINE_EQS: (2), (9) imply:
% 174.44/27.71  | |   (10)  e3 = e1
% 174.44/27.71  | | 
% 174.44/27.71  | | REDUCE: (1), (10) imply:
% 174.44/27.71  | |   (11)  $false
% 174.44/27.71  | | 
% 174.44/27.71  | | CLOSE: (11) is inconsistent.
% 174.44/27.71  | | 
% 174.44/27.71  | End of split
% 174.44/27.71  | 
% 174.44/27.71  End of proof
% 174.44/27.71  
% 174.44/27.71  Sub-proof #968 shows that the following formulas are inconsistent:
% 174.44/27.71  ----------------------------------------------------------------
% 174.44/27.71    (1)  all_58_26 = all_10_2
% 174.44/27.71    (2)  all_58_26 = e1
% 174.44/27.71    (3)   ~ (all_10_2 = e1)
% 174.44/27.71  
% 174.44/27.71  Begin of proof
% 174.44/27.71  | 
% 174.44/27.71  | COMBINE_EQS: (1), (2) imply:
% 174.44/27.71  |   (4)  all_10_2 = e1
% 174.44/27.71  | 
% 174.44/27.71  | SIMP: (4) implies:
% 174.44/27.71  |   (5)  all_10_2 = e1
% 174.44/27.71  | 
% 174.44/27.71  | REDUCE: (3), (5) imply:
% 174.44/27.71  |   (6)  $false
% 174.44/27.71  | 
% 174.44/27.71  | CLOSE: (6) is inconsistent.
% 174.44/27.71  | 
% 174.44/27.71  End of proof
% 174.44/27.71  
% 174.44/27.71  Sub-proof #969 shows that the following formulas are inconsistent:
% 174.44/27.71  ----------------------------------------------------------------
% 174.44/27.71    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.44/27.71    (2)  op(e3, all_52_12) = all_58_3
% 174.44/27.71    (3)   ~ (e3 = e1)
% 174.44/27.71    (4)  all_58_16 = e3 | all_58_17 = e2 | all_58_18 = e1
% 174.44/27.71    (5)   ~ (all_52_6 = all_4_2)
% 174.44/27.71    (6)  all_56_0 = e1
% 174.44/27.71    (7)  all_58_26 = all_10_2
% 174.44/27.71    (8)  all_58_25 = e0
% 174.44/27.71    (9)  all_58_18 = e0
% 174.44/27.71    (10)   ~ (all_52_1 = all_6_2)
% 174.44/27.71    (11)   ~ (all_4_1 = e0)
% 174.44/27.71    (12)  all_56_0 = all_6_2
% 174.44/27.71    (13)  op(all_4_2, e2) = all_4_1
% 174.44/27.71    (14)  all_58_17 = all_52_1
% 174.44/27.71    (15)  all_58_20 = e0
% 174.44/27.71    (16)  all_56_9 = all_52_12
% 174.44/27.71    (17)  all_58_24 = e3 | all_58_25 = e2 | all_58_26 = e1
% 174.44/27.71    (18)   ~ (e3 = e2)
% 174.44/27.71    (19)   ~ (all_52_6 = all_10_2)
% 174.44/27.71    (20)  all_56_1 = e0
% 174.44/27.71    (21)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.44/27.71    (22)   ~ (all_52_1 = all_4_2)
% 174.44/27.71    (23)  all_58_16 = all_6_2
% 174.44/27.71    (24)   ~ (e3 = e0)
% 174.44/27.71    (25)  op(e3, e2) = e0
% 174.44/27.71    (26)   ~ (all_6_2 = e0)
% 174.44/27.71    (27)  all_56_4 = all_52_8
% 174.44/27.71    (28)  all_58_24 = all_52_8
% 174.44/27.71    (29)  all_58_22 = all_52_6
% 174.44/27.71    (30)   ~ (all_52_1 = e0)
% 174.44/27.71    (31)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.44/27.71            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.44/27.71    (32)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 174.44/27.71    (33)  all_58_21 = all_4_2
% 174.44/27.71    (34)  all_54_5 = all_4_2
% 174.44/27.71  
% 174.44/27.71  Begin of proof
% 174.44/27.71  | 
% 174.44/27.71  | COMBINE_EQS: (6), (12) imply:
% 174.44/27.71  |   (35)  all_6_2 = e1
% 174.44/27.71  | 
% 174.44/27.71  | SIMP: (35) implies:
% 174.44/27.71  |   (36)  all_6_2 = e1
% 174.44/27.71  | 
% 174.44/27.71  | COMBINE_EQS: (23), (36) imply:
% 174.44/27.71  |   (37)  all_58_16 = e1
% 174.44/27.71  | 
% 174.44/27.71  | REDUCE: (10), (36) imply:
% 174.44/27.71  |   (38)   ~ (all_52_1 = e1)
% 174.44/27.71  | 
% 174.44/27.71  | REDUCE: (26), (36) imply:
% 174.44/27.71  |   (39)   ~ (e1 = e0)
% 174.44/27.71  | 
% 174.44/27.71  | BETA: splitting (4) gives:
% 174.44/27.71  | 
% 174.44/27.71  | Case 1:
% 174.44/27.71  | | 
% 174.44/27.71  | |   (40)  all_58_18 = e1
% 174.44/27.71  | | 
% 174.44/27.71  | | COMBINE_EQS: (9), (40) imply:
% 174.44/27.71  | |   (41)  e1 = e0
% 174.44/27.71  | | 
% 174.44/27.71  | | REDUCE: (39), (41) imply:
% 174.44/27.71  | |   (42)  $false
% 174.44/27.71  | | 
% 174.44/27.71  | | CLOSE: (42) is inconsistent.
% 174.44/27.71  | | 
% 174.44/27.71  | Case 2:
% 174.44/27.71  | | 
% 174.44/27.71  | |   (43)  all_58_16 = e3 | all_58_17 = e2
% 174.44/27.71  | | 
% 174.44/27.71  | | BETA: splitting (43) gives:
% 174.44/27.71  | | 
% 174.44/27.71  | | Case 1:
% 174.44/27.71  | | | 
% 174.44/27.71  | | |   (44)  all_58_17 = e2
% 174.44/27.71  | | | 
% 174.44/27.71  | | | COMBINE_EQS: (14), (44) imply:
% 174.44/27.71  | | |   (45)  all_52_1 = e2
% 174.44/27.71  | | | 
% 174.44/27.71  | | | REDUCE: (22), (45) imply:
% 174.44/27.71  | | |   (46)   ~ (all_4_2 = e2)
% 174.44/27.71  | | | 
% 174.44/27.71  | | | SIMP: (46) implies:
% 174.44/27.71  | | |   (47)   ~ (all_4_2 = e2)
% 174.44/27.71  | | | 
% 174.44/27.71  | | | REDUCE: (38), (45) imply:
% 174.44/27.71  | | |   (48)   ~ (e2 = e1)
% 174.44/27.71  | | | 
% 174.44/27.71  | | | REDUCE: (30), (45) imply:
% 174.44/27.71  | | |   (49)   ~ (e2 = e0)
% 174.44/27.71  | | | 
% 174.44/27.71  | | | BETA: splitting (1) gives:
% 174.44/27.71  | | | 
% 174.44/27.71  | | | Case 1:
% 174.44/27.71  | | | | 
% 174.44/27.71  | | | |   (50)  all_58_22 = e1
% 174.44/27.71  | | | | 
% 174.44/27.71  | | | | COMBINE_EQS: (29), (50) imply:
% 174.44/27.71  | | | |   (51)  all_52_6 = e1
% 174.44/27.71  | | | | 
% 174.44/27.71  | | | | REDUCE: (19), (51) imply:
% 174.44/27.71  | | | |   (52)   ~ (all_10_2 = e1)
% 174.44/27.71  | | | | 
% 174.44/27.71  | | | | SIMP: (52) implies:
% 174.44/27.71  | | | |   (53)   ~ (all_10_2 = e1)
% 174.44/27.71  | | | | 
% 174.44/27.71  | | | | BETA: splitting (17) gives:
% 174.44/27.71  | | | | 
% 174.44/27.71  | | | | Case 1:
% 174.44/27.71  | | | | | 
% 174.44/27.71  | | | | |   (54)  all_58_26 = e1
% 174.44/27.71  | | | | | 
% 174.44/27.71  | | | | | COMBINE_EQS: (7), (54) imply:
% 174.44/27.71  | | | | |   (55)  all_10_2 = e1
% 174.44/27.71  | | | | | 
% 174.44/27.71  | | | | | REDUCE: (53), (55) imply:
% 174.44/27.71  | | | | |   (56)  $false
% 174.44/27.71  | | | | | 
% 174.44/27.71  | | | | | CLOSE: (56) is inconsistent.
% 174.44/27.71  | | | | | 
% 174.44/27.71  | | | | Case 2:
% 174.44/27.71  | | | | | 
% 174.44/27.71  | | | | |   (57)  all_58_24 = e3 | all_58_25 = e2
% 174.44/27.71  | | | | | 
% 174.44/27.71  | | | | | BETA: splitting (57) gives:
% 174.44/27.71  | | | | | 
% 174.44/27.71  | | | | | Case 1:
% 174.44/27.71  | | | | | | 
% 174.44/27.71  | | | | | |   (58)  all_58_25 = e2
% 174.44/27.71  | | | | | | 
% 174.44/27.71  | | | | | | COMBINE_EQS: (8), (58) imply:
% 174.44/27.71  | | | | | |   (59)  e2 = e0
% 174.44/27.71  | | | | | | 
% 174.44/27.71  | | | | | | REF_CLOSE: (3), (37), (43), (44), (49), (59) are inconsistent by
% 174.44/27.71  | | | | | |            sub-proof #979.
% 174.44/27.71  | | | | | | 
% 174.44/27.71  | | | | | Case 2:
% 174.44/27.71  | | | | | | 
% 174.44/27.71  | | | | | |   (60)  all_58_24 = e3
% 174.44/27.71  | | | | | | 
% 174.44/27.71  | | | | | | COMBINE_EQS: (28), (60) imply:
% 174.44/27.71  | | | | | |   (61)  all_52_8 = e3
% 174.44/27.71  | | | | | | 
% 174.44/27.71  | | | | | | COMBINE_EQS: (27), (61) imply:
% 174.44/27.71  | | | | | |   (62)  all_56_4 = e3
% 174.44/27.71  | | | | | | 
% 174.44/27.71  | | | | | | REF_CLOSE: (1), (2), (3), (5), (6), (11), (13), (14), (15), (16),
% 174.44/27.71  | | | | | |            (18), (20), (21), (22), (24), (25), (29), (31), (32),
% 174.44/27.71  | | | | | |            (33), (34), (37), (43), (48), (49), (62) are inconsistent
% 174.44/27.71  | | | | | |            by sub-proof #971.
% 174.44/27.71  | | | | | | 
% 174.44/27.71  | | | | | End of split
% 174.44/27.71  | | | | | 
% 174.44/27.71  | | | | End of split
% 174.44/27.71  | | | | 
% 174.44/27.71  | | | Case 2:
% 174.44/27.71  | | | | 
% 174.44/27.71  | | | |   (63)  all_58_20 = e3 | all_58_21 = e2
% 174.44/27.71  | | | | 
% 174.44/27.71  | | | | REF_CLOSE: (15), (24), (33), (47), (63) are inconsistent by sub-proof
% 174.44/27.71  | | | |            #974.
% 174.44/27.71  | | | | 
% 174.44/27.71  | | | End of split
% 174.44/27.71  | | | 
% 174.44/27.71  | | Case 2:
% 174.44/27.71  | | | 
% 174.44/27.71  | | |   (64)  all_58_16 = e3
% 174.44/27.71  | | | 
% 174.44/27.71  | | | REF_CLOSE: (3), (37), (64) are inconsistent by sub-proof #970.
% 174.44/27.71  | | | 
% 174.44/27.71  | | End of split
% 174.44/27.71  | | 
% 174.44/27.71  | End of split
% 174.44/27.71  | 
% 174.44/27.71  End of proof
% 174.44/27.71  
% 174.44/27.71  Sub-proof #970 shows that the following formulas are inconsistent:
% 174.44/27.71  ----------------------------------------------------------------
% 174.44/27.71    (1)  all_58_16 = e3
% 174.44/27.71    (2)  all_58_16 = e1
% 174.44/27.71    (3)   ~ (e3 = e1)
% 174.44/27.71  
% 174.44/27.71  Begin of proof
% 174.44/27.71  | 
% 174.44/27.71  | COMBINE_EQS: (1), (2) imply:
% 174.44/27.71  |   (4)  e3 = e1
% 174.44/27.71  | 
% 174.44/27.71  | SIMP: (4) implies:
% 174.44/27.71  |   (5)  e3 = e1
% 174.44/27.71  | 
% 174.44/27.71  | REDUCE: (3), (5) imply:
% 174.44/27.71  |   (6)  $false
% 174.44/27.71  | 
% 174.44/27.71  | CLOSE: (6) is inconsistent.
% 174.44/27.71  | 
% 174.44/27.71  End of proof
% 174.44/27.71  
% 174.44/27.71  Sub-proof #971 shows that the following formulas are inconsistent:
% 174.44/27.71  ----------------------------------------------------------------
% 174.44/27.71    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.44/27.71    (2)  op(e3, all_52_12) = all_58_3
% 174.44/27.71    (3)   ~ (e3 = e1)
% 174.44/27.71    (4)  all_56_4 = e3
% 174.44/27.71    (5)   ~ (all_52_6 = all_4_2)
% 174.44/27.71    (6)  all_56_0 = e1
% 174.44/27.71    (7)   ~ (all_4_1 = e0)
% 174.44/27.71    (8)  op(all_4_2, e2) = all_4_1
% 174.44/27.71    (9)  all_58_17 = all_52_1
% 174.44/27.71    (10)  all_58_20 = e0
% 174.44/27.71    (11)  all_56_9 = all_52_12
% 174.44/27.71    (12)   ~ (e3 = e2)
% 174.44/27.71    (13)   ~ (e2 = e1)
% 174.44/27.71    (14)  all_58_16 = e1
% 174.44/27.71    (15)  all_56_1 = e0
% 174.44/27.71    (16)  all_56_0 = e2 | all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.44/27.71    (17)   ~ (all_52_1 = all_4_2)
% 174.44/27.71    (18)   ~ (e3 = e0)
% 174.44/27.71    (19)  op(e3, e2) = e0
% 174.44/27.71    (20)  all_58_22 = all_52_6
% 174.44/27.71    (21)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.44/27.71            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.44/27.71    (22)  all_58_16 = e3 | all_58_17 = e2
% 174.44/27.71    (23)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 174.44/27.71    (24)  all_58_21 = all_4_2
% 174.44/27.71    (25)   ~ (e2 = e0)
% 174.44/27.71    (26)  all_54_5 = all_4_2
% 174.44/27.71  
% 174.44/27.71  Begin of proof
% 174.44/27.71  | 
% 174.44/27.71  | BETA: splitting (16) gives:
% 174.44/27.71  | 
% 174.44/27.71  | Case 1:
% 174.44/27.71  | | 
% 174.44/27.71  | |   (27)  all_56_0 = e2
% 174.44/27.71  | | 
% 174.44/27.71  | | COMBINE_EQS: (6), (27) imply:
% 174.44/27.71  | |   (28)  e2 = e1
% 174.44/27.71  | | 
% 174.44/27.71  | | REDUCE: (13), (28) imply:
% 174.44/27.71  | |   (29)  $false
% 174.44/27.71  | | 
% 174.44/27.71  | | CLOSE: (29) is inconsistent.
% 174.44/27.71  | | 
% 174.44/27.71  | Case 2:
% 174.44/27.71  | | 
% 174.44/27.71  | |   (30)  all_56_1 = e2 | all_56_4 = e2 | all_56_9 = e2
% 174.44/27.71  | | 
% 174.44/27.71  | | BETA: splitting (30) gives:
% 174.44/27.71  | | 
% 174.44/27.71  | | Case 1:
% 174.44/27.71  | | | 
% 174.44/27.71  | | |   (31)  all_56_1 = e2
% 174.44/27.71  | | | 
% 174.44/27.71  | | | COMBINE_EQS: (15), (31) imply:
% 174.44/27.71  | | |   (32)  e2 = e0
% 174.44/27.71  | | | 
% 174.44/27.71  | | | REDUCE: (25), (32) imply:
% 174.44/27.71  | | |   (33)  $false
% 174.44/27.71  | | | 
% 174.44/27.71  | | | CLOSE: (33) is inconsistent.
% 174.44/27.71  | | | 
% 174.44/27.71  | | Case 2:
% 174.44/27.71  | | | 
% 174.44/27.71  | | |   (34)  all_56_4 = e2 | all_56_9 = e2
% 174.44/27.71  | | | 
% 174.44/27.71  | | | BETA: splitting (34) gives:
% 174.44/27.71  | | | 
% 174.44/27.71  | | | Case 1:
% 174.44/27.71  | | | | 
% 174.44/27.71  | | | |   (35)  all_56_4 = e2
% 174.44/27.71  | | | | 
% 174.44/27.71  | | | | REF_CLOSE: (4), (12), (35) are inconsistent by sub-proof #978.
% 174.44/27.71  | | | | 
% 174.44/27.71  | | | Case 2:
% 174.44/27.71  | | | | 
% 174.44/27.71  | | | |   (36)  all_56_9 = e2
% 174.44/27.71  | | | | 
% 174.44/27.71  | | | | COMBINE_EQS: (11), (36) imply:
% 174.44/27.71  | | | |   (37)  all_52_12 = e2
% 174.44/27.71  | | | | 
% 174.44/27.71  | | | | SIMP: (37) implies:
% 174.44/27.71  | | | |   (38)  all_52_12 = e2
% 174.44/27.71  | | | | 
% 174.44/27.71  | | | | REDUCE: (2), (38) imply:
% 174.44/27.71  | | | |   (39)  op(e3, e2) = all_58_3
% 174.44/27.71  | | | | 
% 174.44/27.71  | | | | REF_CLOSE: (1), (3), (5), (7), (8), (9), (10), (14), (17), (18), (19),
% 174.44/27.71  | | | |            (20), (21), (22), (23), (24), (26), (39) are inconsistent by
% 174.44/27.71  | | | |            sub-proof #972.
% 174.44/27.71  | | | | 
% 174.44/27.71  | | | End of split
% 174.44/27.71  | | | 
% 174.44/27.71  | | End of split
% 174.44/27.71  | | 
% 174.44/27.71  | End of split
% 174.44/27.71  | 
% 174.44/27.71  End of proof
% 174.44/27.71  
% 174.44/27.71  Sub-proof #972 shows that the following formulas are inconsistent:
% 174.44/27.71  ----------------------------------------------------------------
% 174.44/27.71    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.44/27.71    (2)   ~ (e3 = e1)
% 174.44/27.71    (3)   ~ (all_52_6 = all_4_2)
% 174.44/27.71    (4)  op(e3, e2) = all_58_3
% 174.44/27.71    (5)   ~ (all_4_1 = e0)
% 174.44/27.71    (6)  op(all_4_2, e2) = all_4_1
% 174.44/27.71    (7)  all_58_17 = all_52_1
% 174.44/27.71    (8)  all_58_20 = e0
% 174.44/27.71    (9)  all_58_16 = e1
% 174.44/27.71    (10)   ~ (all_52_1 = all_4_2)
% 174.44/27.71    (11)   ~ (e3 = e0)
% 174.44/27.71    (12)  op(e3, e2) = e0
% 174.44/27.71    (13)  all_58_22 = all_52_6
% 174.44/27.71    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.44/27.71            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.44/27.71    (15)  all_58_16 = e3 | all_58_17 = e2
% 174.44/27.71    (16)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 174.44/27.71    (17)  all_58_21 = all_4_2
% 174.44/27.71    (18)  all_54_5 = all_4_2
% 174.44/27.71  
% 174.44/27.71  Begin of proof
% 174.44/27.71  | 
% 174.44/27.71  | BETA: splitting (15) gives:
% 174.44/27.71  | 
% 174.44/27.71  | Case 1:
% 174.44/27.71  | | 
% 174.44/27.71  | |   (19)  all_58_17 = e2
% 174.44/27.71  | | 
% 174.44/27.71  | | COMBINE_EQS: (7), (19) imply:
% 174.44/27.71  | |   (20)  all_52_1 = e2
% 174.44/27.71  | | 
% 174.44/27.71  | | SIMP: (20) implies:
% 174.44/27.71  | |   (21)  all_52_1 = e2
% 174.44/27.71  | | 
% 174.44/27.71  | | REDUCE: (10), (21) imply:
% 174.44/27.71  | |   (22)   ~ (all_4_2 = e2)
% 174.44/27.71  | | 
% 174.44/27.71  | | SIMP: (22) implies:
% 174.44/27.71  | |   (23)   ~ (all_4_2 = e2)
% 174.44/27.71  | | 
% 174.44/27.71  | | REF_CLOSE: (1), (3), (4), (5), (6), (8), (11), (12), (13), (14), (16), (17),
% 174.44/27.71  | |            (18), (23) are inconsistent by sub-proof #973.
% 174.44/27.71  | | 
% 174.44/27.71  | Case 2:
% 174.44/27.71  | | 
% 174.44/27.71  | |   (24)  all_58_16 = e3
% 174.44/27.71  | | 
% 174.44/27.71  | | COMBINE_EQS: (9), (24) imply:
% 174.44/27.71  | |   (25)  e3 = e1
% 174.44/27.71  | | 
% 174.44/27.71  | | REDUCE: (2), (25) imply:
% 174.44/27.71  | |   (26)  $false
% 174.44/27.71  | | 
% 174.44/27.71  | | CLOSE: (26) is inconsistent.
% 174.44/27.71  | | 
% 174.44/27.71  | End of split
% 174.44/27.71  | 
% 174.44/27.71  End of proof
% 174.44/27.71  
% 174.44/27.71  Sub-proof #973 shows that the following formulas are inconsistent:
% 174.44/27.71  ----------------------------------------------------------------
% 174.44/27.71    (1)  all_58_20 = e3 | all_58_21 = e2 | all_58_22 = e1
% 174.44/27.71    (2)   ~ (all_52_6 = all_4_2)
% 174.44/27.71    (3)  op(e3, e2) = all_58_3
% 174.44/27.71    (4)   ~ (all_4_1 = e0)
% 174.44/27.71    (5)  op(all_4_2, e2) = all_4_1
% 174.44/27.71    (6)  all_58_20 = e0
% 174.44/27.71    (7)   ~ (e3 = e0)
% 174.44/27.71    (8)  op(e3, e2) = e0
% 174.44/27.71    (9)  all_58_22 = all_52_6
% 174.44/27.71    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.44/27.71            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.44/27.71    (11)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1
% 174.44/27.71    (12)  all_58_21 = all_4_2
% 174.44/27.71    (13)  all_54_5 = all_4_2
% 174.44/27.71    (14)   ~ (all_4_2 = e2)
% 174.44/27.71  
% 174.44/27.71  Begin of proof
% 174.44/27.71  | 
% 174.44/27.71  | BETA: splitting (1) gives:
% 174.44/27.71  | 
% 174.44/27.71  | Case 1:
% 174.44/27.71  | | 
% 174.44/27.71  | |   (15)  all_58_22 = e1
% 174.44/27.71  | | 
% 174.44/27.71  | | COMBINE_EQS: (9), (15) imply:
% 174.44/27.71  | |   (16)  all_52_6 = e1
% 174.44/27.71  | | 
% 174.44/27.71  | | REDUCE: (2), (16) imply:
% 174.44/27.71  | |   (17)   ~ (all_4_2 = e1)
% 174.44/27.71  | | 
% 174.44/27.71  | | SIMP: (17) implies:
% 174.44/27.71  | |   (18)   ~ (all_4_2 = e1)
% 174.44/27.71  | | 
% 174.44/27.71  | | BETA: splitting (11) gives:
% 174.44/27.71  | | 
% 174.44/27.71  | | Case 1:
% 174.44/27.71  | | | 
% 174.44/27.71  | | |   (19)  all_54_5 = e1
% 174.44/27.71  | | | 
% 174.44/27.71  | | | REF_CLOSE: (13), (18), (19) are inconsistent by sub-proof #977.
% 174.44/27.71  | | | 
% 174.44/27.71  | | Case 2:
% 174.44/27.71  | | | 
% 174.44/27.71  | | |   (20)  all_54_5 = e3 | all_54_5 = e2
% 174.44/27.71  | | | 
% 174.44/27.71  | | | BETA: splitting (20) gives:
% 174.44/27.71  | | | 
% 174.44/27.71  | | | Case 1:
% 174.44/27.71  | | | | 
% 174.44/27.71  | | | |   (21)  all_54_5 = e2
% 174.44/27.71  | | | | 
% 174.44/27.71  | | | | REF_CLOSE: (13), (14), (21) are inconsistent by sub-proof #976.
% 174.44/27.71  | | | | 
% 174.44/27.71  | | | Case 2:
% 174.44/27.71  | | | | 
% 174.44/27.71  | | | |   (22)  all_54_5 = e3
% 174.44/27.71  | | | | 
% 174.44/27.71  | | | | COMBINE_EQS: (13), (22) imply:
% 174.44/27.71  | | | |   (23)  all_4_2 = e3
% 174.44/27.71  | | | | 
% 174.44/27.71  | | | | SIMP: (23) implies:
% 174.44/27.71  | | | |   (24)  all_4_2 = e3
% 174.44/27.71  | | | | 
% 174.44/27.71  | | | | REDUCE: (5), (24) imply:
% 174.44/27.71  | | | |   (25)  op(e3, e2) = all_4_1
% 174.44/27.71  | | | | 
% 174.44/27.71  | | | | REF_CLOSE: (3), (4), (8), (10), (25) are inconsistent by sub-proof #975.
% 174.44/27.71  | | | | 
% 174.44/27.71  | | | End of split
% 174.44/27.71  | | | 
% 174.44/27.71  | | End of split
% 174.44/27.71  | | 
% 174.44/27.71  | Case 2:
% 174.44/27.71  | | 
% 174.44/27.71  | |   (26)  all_58_20 = e3 | all_58_21 = e2
% 174.44/27.71  | | 
% 174.44/27.71  | | REF_CLOSE: (6), (7), (12), (14), (26) are inconsistent by sub-proof #974.
% 174.44/27.71  | | 
% 174.44/27.71  | End of split
% 174.44/27.71  | 
% 174.44/27.71  End of proof
% 174.44/27.71  
% 174.44/27.71  Sub-proof #974 shows that the following formulas are inconsistent:
% 174.44/27.71  ----------------------------------------------------------------
% 174.44/27.71    (1)  all_58_20 = e0
% 174.44/27.71    (2)   ~ (e3 = e0)
% 174.44/27.71    (3)  all_58_20 = e3 | all_58_21 = e2
% 174.44/27.71    (4)  all_58_21 = all_4_2
% 174.44/27.71    (5)   ~ (all_4_2 = e2)
% 174.44/27.71  
% 174.44/27.71  Begin of proof
% 174.44/27.71  | 
% 174.44/27.71  | BETA: splitting (3) gives:
% 174.44/27.71  | 
% 174.44/27.71  | Case 1:
% 174.44/27.71  | | 
% 174.44/27.71  | |   (6)  all_58_21 = e2
% 174.44/27.71  | | 
% 174.44/27.71  | | COMBINE_EQS: (4), (6) imply:
% 174.44/27.71  | |   (7)  all_4_2 = e2
% 174.44/27.71  | | 
% 174.44/27.71  | | REDUCE: (5), (7) imply:
% 174.44/27.71  | |   (8)  $false
% 174.44/27.71  | | 
% 174.44/27.71  | | CLOSE: (8) is inconsistent.
% 174.44/27.71  | | 
% 174.44/27.71  | Case 2:
% 174.44/27.71  | | 
% 174.44/27.71  | |   (9)  all_58_20 = e3
% 174.44/27.71  | | 
% 174.44/27.71  | | COMBINE_EQS: (1), (9) imply:
% 174.44/27.71  | |   (10)  e3 = e0
% 174.44/27.71  | | 
% 174.44/27.71  | | REDUCE: (2), (10) imply:
% 174.44/27.71  | |   (11)  $false
% 174.44/27.71  | | 
% 174.44/27.71  | | CLOSE: (11) is inconsistent.
% 174.44/27.71  | | 
% 174.44/27.71  | End of split
% 174.44/27.71  | 
% 174.44/27.71  End of proof
% 174.44/27.71  
% 174.44/27.71  Sub-proof #975 shows that the following formulas are inconsistent:
% 174.44/27.71  ----------------------------------------------------------------
% 174.44/27.71    (1)  op(e3, e2) = all_58_3
% 174.44/27.71    (2)   ~ (all_4_1 = e0)
% 174.44/27.71    (3)  op(e3, e2) = all_4_1
% 174.44/27.71    (4)  op(e3, e2) = e0
% 174.44/27.71    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 174.44/27.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 174.44/27.71  
% 174.44/27.71  Begin of proof
% 174.44/27.71  | 
% 174.44/27.71  | GROUND_INST: instantiating (5) with e0, all_58_3, e2, e3, simplifying with
% 174.44/27.71  |              (1), (4) gives:
% 174.44/27.71  |   (6)  all_58_3 = e0
% 174.44/27.71  | 
% 174.44/27.71  | GROUND_INST: instantiating (5) with all_4_1, all_58_3, e2, e3, simplifying
% 174.44/27.71  |              with (1), (3) gives:
% 174.44/27.71  |   (7)  all_58_3 = all_4_1
% 174.44/27.71  | 
% 174.44/27.71  | COMBINE_EQS: (6), (7) imply:
% 174.44/27.71  |   (8)  all_4_1 = e0
% 174.44/27.71  | 
% 174.44/27.71  | REDUCE: (2), (8) imply:
% 174.44/27.71  |   (9)  $false
% 174.44/27.71  | 
% 174.44/27.71  | CLOSE: (9) is inconsistent.
% 174.44/27.71  | 
% 174.44/27.71  End of proof
% 174.44/27.71  
% 174.44/27.71  Sub-proof #976 shows that the following formulas are inconsistent:
% 174.44/27.71  ----------------------------------------------------------------
% 174.44/27.71    (1)  all_54_5 = all_4_2
% 174.44/27.71    (2)  all_54_5 = e2
% 174.44/27.71    (3)   ~ (all_4_2 = e2)
% 174.44/27.71  
% 174.44/27.71  Begin of proof
% 174.44/27.71  | 
% 174.44/27.71  | COMBINE_EQS: (1), (2) imply:
% 174.44/27.71  |   (4)  all_4_2 = e2
% 174.44/27.71  | 
% 174.44/27.71  | SIMP: (4) implies:
% 174.44/27.71  |   (5)  all_4_2 = e2
% 174.44/27.71  | 
% 174.44/27.71  | REDUCE: (3), (5) imply:
% 174.44/27.71  |   (6)  $false
% 174.44/27.71  | 
% 174.44/27.71  | CLOSE: (6) is inconsistent.
% 174.44/27.71  | 
% 174.44/27.71  End of proof
% 174.44/27.71  
% 174.44/27.71  Sub-proof #977 shows that the following formulas are inconsistent:
% 174.44/27.71  ----------------------------------------------------------------
% 174.44/27.71    (1)  all_54_5 = all_4_2
% 174.44/27.71    (2)  all_54_5 = e1
% 174.44/27.71    (3)   ~ (all_4_2 = e1)
% 174.44/27.71  
% 174.44/27.71  Begin of proof
% 174.44/27.71  | 
% 174.44/27.71  | COMBINE_EQS: (1), (2) imply:
% 174.44/27.71  |   (4)  all_4_2 = e1
% 174.44/27.71  | 
% 174.44/27.71  | SIMP: (4) implies:
% 174.44/27.71  |   (5)  all_4_2 = e1
% 174.44/27.71  | 
% 174.44/27.71  | REDUCE: (3), (5) imply:
% 174.44/27.71  |   (6)  $false
% 174.44/27.71  | 
% 174.44/27.71  | CLOSE: (6) is inconsistent.
% 174.44/27.71  | 
% 174.44/27.71  End of proof
% 174.44/27.71  
% 174.44/27.71  Sub-proof #978 shows that the following formulas are inconsistent:
% 174.44/27.71  ----------------------------------------------------------------
% 174.44/27.71    (1)  all_56_4 = e3
% 174.44/27.71    (2)  all_56_4 = e2
% 174.44/27.71    (3)   ~ (e3 = e2)
% 174.44/27.71  
% 174.44/27.71  Begin of proof
% 174.44/27.71  | 
% 174.44/27.71  | COMBINE_EQS: (1), (2) imply:
% 174.44/27.71  |   (4)  e3 = e2
% 174.44/27.71  | 
% 174.44/27.71  | SIMP: (4) implies:
% 174.44/27.71  |   (5)  e3 = e2
% 174.44/27.71  | 
% 174.44/27.71  | REDUCE: (3), (5) imply:
% 174.44/27.71  |   (6)  $false
% 174.44/27.71  | 
% 174.44/27.71  | CLOSE: (6) is inconsistent.
% 174.44/27.71  | 
% 174.44/27.71  End of proof
% 174.44/27.71  
% 174.44/27.71  Sub-proof #979 shows that the following formulas are inconsistent:
% 174.44/27.71  ----------------------------------------------------------------
% 174.44/27.71    (1)   ~ (e3 = e1)
% 174.44/27.71    (2)  all_58_16 = e1
% 174.44/27.71    (3)  all_58_17 = e2
% 174.44/27.71    (4)  e2 = e0
% 174.44/27.71    (5)  all_58_16 = e3 | all_58_17 = e2
% 174.44/27.71    (6)   ~ (e2 = e0)
% 174.44/27.71  
% 174.44/27.71  Begin of proof
% 174.44/27.71  | 
% 174.44/27.71  | SIMP: (4) implies:
% 174.44/27.71  |   (7)  e2 = e0
% 174.44/27.71  | 
% 174.44/27.71  | COMBINE_EQS: (3), (7) imply:
% 174.44/27.71  |   (8)  all_58_17 = e0
% 174.44/27.71  | 
% 174.44/27.71  | REF_CLOSE: (1), (2), (5), (6), (8) are inconsistent by sub-proof #980.
% 174.44/27.71  | 
% 174.44/27.71  End of proof
% 174.44/27.71  
% 174.44/27.71  Sub-proof #980 shows that the following formulas are inconsistent:
% 174.44/27.71  ----------------------------------------------------------------
% 174.44/27.71    (1)   ~ (e3 = e1)
% 174.44/27.71    (2)  all_58_16 = e1
% 174.44/27.71    (3)  all_58_17 = e0
% 174.44/27.71    (4)  all_58_16 = e3 | all_58_17 = e2
% 174.44/27.71    (5)   ~ (e2 = e0)
% 174.44/27.71  
% 174.44/27.71  Begin of proof
% 174.44/27.71  | 
% 174.44/27.71  | BETA: splitting (4) gives:
% 174.44/27.71  | 
% 174.44/27.71  | Case 1:
% 174.44/27.71  | | 
% 174.44/27.71  | |   (6)  all_58_17 = e2
% 174.44/27.71  | | 
% 174.44/27.71  | | REF_CLOSE: (3), (5), (6) are inconsistent by sub-proof #981.
% 174.44/27.71  | | 
% 174.44/27.71  | Case 2:
% 174.44/27.71  | | 
% 174.44/27.71  | |   (7)  all_58_16 = e3
% 174.44/27.71  | | 
% 174.44/27.71  | | COMBINE_EQS: (2), (7) imply:
% 174.44/27.71  | |   (8)  e3 = e1
% 174.44/27.71  | | 
% 174.44/27.71  | | REDUCE: (1), (8) imply:
% 174.44/27.71  | |   (9)  $false
% 174.44/27.71  | | 
% 174.44/27.71  | | CLOSE: (9) is inconsistent.
% 174.44/27.71  | | 
% 174.44/27.71  | End of split
% 174.44/27.71  | 
% 174.44/27.71  End of proof
% 174.44/27.71  
% 174.44/27.71  Sub-proof #981 shows that the following formulas are inconsistent:
% 174.44/27.71  ----------------------------------------------------------------
% 174.44/27.71    (1)  all_58_17 = e2
% 174.44/27.71    (2)  all_58_17 = e0
% 174.44/27.71    (3)   ~ (e2 = e0)
% 174.44/27.71  
% 174.44/27.71  Begin of proof
% 174.44/27.71  | 
% 174.44/27.71  | COMBINE_EQS: (1), (2) imply:
% 174.44/27.71  |   (4)  e2 = e0
% 174.44/27.71  | 
% 174.44/27.71  | SIMP: (4) implies:
% 174.44/27.71  |   (5)  e2 = e0
% 174.44/27.71  | 
% 174.44/27.71  | REDUCE: (3), (5) imply:
% 174.44/27.71  |   (6)  $false
% 174.44/27.71  | 
% 174.44/27.71  | CLOSE: (6) is inconsistent.
% 174.44/27.71  | 
% 174.44/27.71  End of proof
% 174.44/27.71  
% 174.44/27.71  Sub-proof #982 shows that the following formulas are inconsistent:
% 174.44/27.71  ----------------------------------------------------------------
% 174.44/27.71    (1)  all_58_23 = all_52_7
% 174.44/27.71    (2)  all_58_23 = e0
% 174.44/27.72    (3)   ~ (all_52_7 = e0)
% 174.44/27.72  
% 174.44/27.72  Begin of proof
% 174.44/27.72  | 
% 174.44/27.72  | COMBINE_EQS: (1), (2) imply:
% 174.44/27.72  |   (4)  all_52_7 = e0
% 174.44/27.72  | 
% 174.44/27.72  | SIMP: (4) implies:
% 174.44/27.72  |   (5)  all_52_7 = e0
% 174.44/27.72  | 
% 174.44/27.72  | REDUCE: (3), (5) imply:
% 174.44/27.72  |   (6)  $false
% 174.44/27.72  | 
% 174.44/27.72  | CLOSE: (6) is inconsistent.
% 174.44/27.72  | 
% 174.44/27.72  End of proof
% 174.44/27.72  
% 174.44/27.72  Sub-proof #983 shows that the following formulas are inconsistent:
% 174.44/27.72  ----------------------------------------------------------------
% 174.44/27.72    (1)  all_54_5 = all_4_2
% 174.44/27.72    (2)  all_54_5 = e0
% 174.44/27.72    (3)   ~ (all_4_2 = e0)
% 174.44/27.72  
% 174.44/27.72  Begin of proof
% 174.44/27.72  | 
% 174.44/27.72  | COMBINE_EQS: (1), (2) imply:
% 174.44/27.72  |   (4)  all_4_2 = e0
% 174.44/27.72  | 
% 174.44/27.72  | SIMP: (4) implies:
% 174.44/27.72  |   (5)  all_4_2 = e0
% 174.44/27.72  | 
% 174.44/27.72  | REDUCE: (3), (5) imply:
% 174.44/27.72  |   (6)  $false
% 174.44/27.72  | 
% 174.44/27.72  | CLOSE: (6) is inconsistent.
% 174.44/27.72  | 
% 174.44/27.72  End of proof
% 174.44/27.72  
% 174.44/27.72  Sub-proof #984 shows that the following formulas are inconsistent:
% 174.44/27.72  ----------------------------------------------------------------
% 174.44/27.72    (1)  all_54_0 = all_6_2
% 174.44/27.72    (2)  all_54_0 = e0
% 174.44/27.72    (3)   ~ (all_6_2 = e0)
% 174.44/27.72  
% 174.44/27.72  Begin of proof
% 174.44/27.72  | 
% 174.44/27.72  | COMBINE_EQS: (1), (2) imply:
% 174.44/27.72  |   (4)  all_6_2 = e0
% 174.44/27.72  | 
% 174.44/27.72  | SIMP: (4) implies:
% 174.44/27.72  |   (5)  all_6_2 = e0
% 174.44/27.72  | 
% 174.44/27.72  | REDUCE: (3), (5) imply:
% 174.44/27.72  |   (6)  $false
% 174.44/27.72  | 
% 174.44/27.72  | CLOSE: (6) is inconsistent.
% 174.44/27.72  | 
% 174.44/27.72  End of proof
% 174.44/27.72  % SZS output end Proof for theBenchmark
% 174.44/27.72  
% 174.44/27.72  27122ms
%------------------------------------------------------------------------------